GET /api/crires_4645nm_4868nm_vstar_v2508_oph/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.64546796416249,
        4.645487786428946,
        4.645507608695403,
        4.64552743096186,
        4.645547253228316,
        4.645567075494773,
        4.645586897761229,
        4.645606720027686,
        4.645626542294142,
        4.645646364560599,
        4.6456661868270555,
        4.645686009093512,
        4.645705831359968,
        4.6457256536264255,
        4.645745475892881,
        4.645765298159339,
        4.645785120425794,
        4.645804942692251,
        4.645824764958708,
        4.645844587225164,
        4.6458644094916215,
        4.645884231758077,
        4.645904054024535,
        4.645923876290991,
        4.645943698557447,
        4.645963520823904,
        4.64598334309036,
        4.646003165356817,
        4.646022987623273,
        4.64604280988973,
        4.646062632156187,
        4.6460824544226424,
        4.6461022766891,
        4.646122098955556,
        4.6461419212220125,
        4.646161743488469,
        4.646181565754926,
        4.646201388021382,
        4.646221210287838,
        4.646241032554295,
        4.646260854820753,
        4.646280677087208,
        4.646300499353665,
        4.646320321620121,
        4.646340143886578,
        4.646359966153034,
        4.646379788419491,
        4.646399610685948,
        4.646419432952404,
        4.646439255218861,
        4.646459077485318,
        4.6464788997517745,
        4.64649872201823,
        4.646518544284687,
        4.646538366551144,
        4.6465581888175995,
        4.646578011084056,
        4.646597833350514,
        4.64661765561697,
        4.646637477883426,
        4.646657300149882,
        4.64667712241634,
        4.6466969446827955,
        4.646716766949252,
        4.646736589215709,
        4.646756411482166,
        4.646776233748621,
        4.646796056015079,
        4.646815878281535,
        4.646835700547992,
        4.646855522814447,
        4.646875345080905,
        4.6468951673473615,
        4.646914989613817,
        4.646934811880274,
        4.646954634146731,
        4.646974456413187,
        4.646994278679644,
        4.647014100946101,
        4.6470339232125575,
        4.647053745479013,
        4.64707356774547,
        4.647093390011928,
        4.647113212278383,
        4.64713303454484,
        4.647152856811296,
        4.647172679077753,
        4.64719250134421,
        4.647212323610666,
        4.647232145877123,
        4.647251968143579,
        4.647271790410035,
        4.647291612676492,
        4.6473114349429485,
        4.647331257209406,
        4.647351079475861,
        4.647370901742319,
        4.647390724008774,
        4.647410546275231,
        4.647430368541688,
        4.6474501908081445,
        4.647470013074601,
        4.647489835341057,
        4.647509657607514,
        4.647529479873971,
        4.647549302140427,
        4.647569124406884,
        4.64758894667334,
        4.647608768939797,
        4.647628591206254,
        4.64764841347271,
        4.647668235739167,
        4.647688058005623,
        4.64770788027208,
        4.647727702538536,
        4.647747524804993,
        4.647767347071449,
        4.647787169337906,
        4.647806991604362,
        4.647826813870819,
        4.647846636137275,
        4.647866458403732,
        4.647886280670188,
        4.647906102936646,
        4.647925925203101,
        4.647945747469558,
        4.647965569736015,
        4.647985392002471,
        4.648005214268927,
        4.648025036535384,
        4.648044858801841,
        4.6480646810682975,
        4.648084503334753,
        4.648104325601211,
        4.648124147867666,
        4.648143970134123,
        4.648163792400581,
        4.648183614667037,
        4.6482034369334935,
        4.648223259199949,
        4.648243081466407,
        4.6482629037328635,
        4.648282725999319,
        4.648302548265776,
        4.648322370532233,
        4.6483421927986885,
        4.648362015065145,
        4.648381837331602,
        4.6484016595980595,
        4.648421481864514,
        4.648441304130972,
        4.648461126397428,
        4.6484809486638845,
        4.648500770930341,
        4.648520593196798,
        4.648540415463255,
        4.64856023772971,
        4.648580059996167,
        4.648599882262625,
        4.6486197045290805,
        4.648639526795537,
        4.648659349061993,
        4.6486791713284505,
        4.648698993594906,
        4.648718815861363,
        4.648738638127821,
        4.648758460394276,
        4.648778282660733,
        4.64879810492719,
        4.6488179271936465,
        4.648837749460102,
        4.648857571726559,
        4.648877393993016,
        4.648897216259473,
        4.648917038525928,
        4.648936860792386,
        4.648956683058842,
        4.648976505325299,
        4.648996327591754,
        4.649016149858212,
        4.649035972124668,
        4.649055794391124,
        4.649075616657581,
        4.6490954389240375,
        4.649115261190494,
        4.649135083456951,
        4.649154905723407,
        4.649174727989864,
        4.649194550256319,
        4.649214372522777,
        4.6492341947892335,
        4.64925401705569,
        4.649273839322146,
        4.649293661588603,
        4.64931348385506,
        4.649333306121517,
        4.649353128387973,
        4.6493729506544295,
        4.649392772920886,
        4.649412595187342,
        4.6494324174537995,
        4.649452239720255,
        4.649472061986713,
        4.649491884253168,
        4.649630640118364,
        4.6496504623848205,
        4.649670284651278,
        4.649690106917734,
        4.649709929184191,
        4.649729751450646,
        4.649749573717104,
        4.64976939598356,
        4.6497892182500165,
        4.649809040516473,
        4.64982886278293,
        4.6498486850493865,
        4.649868507315843,
        4.6498883295823,
        4.649908151848756,
        4.649927974115212,
        4.649947796381669,
        4.649967618648127,
        4.649987440914582,
        4.650007263181039,
        4.650027085447495,
        4.650046907713953,
        4.650066729980408,
        4.650086552246865,
        4.650106374513322,
        4.650126196779778,
        4.650146019046234,
        4.650165841312691,
        4.650185663579148,
        4.650205485845604,
        4.65022530811206,
        4.650245130378518,
        4.650264952644973,
        4.65028477491143,
        4.650304597177887,
        4.650324419444344,
        4.650344241710799,
        4.650364063977256,
        4.650383886243713,
        4.65040370851017,
        4.650423530776626,
        4.650443353043083,
        4.65046317530954,
        4.650482997575995,
        4.650502819842453,
        4.650522642108909,
        4.650542464375366,
        4.650562286641821,
        4.650582108908279,
        4.6506019311747355,
        4.650621753441191,
        4.650641575707648,
        4.650661397974105,
        4.650681220240561,
        4.650701042507018,
        4.650720864773474,
        4.6507406870399315,
        4.650760509306387,
        4.650780331572844,
        4.6508001538393,
        4.650819976105757,
        4.650839798372213,
        4.65085962063867,
        4.650879442905127,
        4.650899265171583,
        4.650919087438039,
        4.650938909704497,
        4.650958731970952,
        4.650978554237409,
        4.650998376503866,
        4.6510181987703225,
        4.65103802103678,
        4.651057843303235,
        4.651077665569693,
        4.651097487836148,
        4.651117310102606,
        4.651137132369062,
        4.6511569546355185,
        4.651176776901975,
        4.651196599168431,
        4.651216421434888,
        4.651236243701345,
        4.651256065967801,
        4.651275888234258,
        4.6512957105007136,
        4.651315532767171,
        4.651335355033626,
        4.651355177300084,
        4.65137499956654,
        4.651394821832997,
        4.651414644099453,
        4.6514344663659095,
        4.651454288632366,
        4.651474110898824,
        4.651493933165279,
        4.651513755431736,
        4.651533577698192,
        4.651553399964649,
        4.651573222231106,
        4.651593044497562,
        4.65161286676402,
        4.651632689030475,
        4.651652511296932,
        4.651672333563389,
        4.651692155829845,
        4.651711978096301,
        4.651731800362758,
        4.651751622629215,
        4.6517714448956715,
        4.651791267162127,
        4.651811089428585,
        4.651830911695041,
        4.651850733961497,
        4.651870556227954,
        4.651890378494411,
        4.651910200760867,
        4.651930023027323,
        4.65194984529378,
        4.651969667560237,
        4.6519894898266925,
        4.65200931209315,
        4.652029134359606,
        4.6520489566260625,
        4.652068778892518,
        4.652088601158976,
        4.652108423425433,
        4.652128245691888,
        4.652148067958346,
        4.652167890224802,
        4.652187712491259,
        4.652207534757715,
        4.652227357024172,
        4.652247179290629,
        4.652267001557084,
        4.652286823823541,
        4.652306646089999,
        4.6523264683564545,
        4.652346290622911,
        4.652366112889367,
        4.6523859351558245,
        4.65240575742228,
        4.652425579688737,
        4.652445401955194,
        4.65246522422165,
        4.652485046488106,
        4.652504868754564,
        4.65252469102102,
        4.652544513287477,
        4.652564335553932,
        4.65258415782039,
        4.6526039800868455,
        4.652623802353302,
        4.652643624619759,
        4.652663446886216,
        4.652683269152672,
        4.652703091419128,
        4.652722913685586,
        4.652742735952042,
        4.652762558218498,
        4.652782380484955,
        4.6528022027514115,
        4.652822025017868,
        4.652841847284325,
        4.652861669550781,
        4.652881491817238,
        4.652901314083694,
        4.652921136350151,
        4.6529409586166075,
        4.652960780883064,
        4.65298060314952,
        4.653000425415977,
        4.653020247682433,
        4.653040069948891,
        4.653059892215346,
        4.6530797144818035,
        4.653099536748259,
        4.653119359014716,
        4.653139181281172,
        4.653159003547629,
        4.653178825814086,
        4.653198648080542,
        4.6532184703469985,
        4.653238292613455,
        4.653258114879912,
        4.653277937146369,
        4.653297759412825,
        4.653317581679282,
        4.653337403945738,
        4.6533572262121945,
        4.653377048478652,
        4.653396870745108,
        4.653416693011565,
        4.65343651527802,
        4.653456337544478,
        4.653476159810934,
        4.6534959820773905,
        4.653515804343847,
        4.653535626610304,
        4.65355544887676,
        4.653575271143217,
        4.653595093409673,
        4.653614915676131,
        4.6536347379425855,
        4.653654560209043,
        4.6536743824755,
        4.653694204741956,
        4.653714027008412,
        4.653733849274869,
        4.653753671541326,
        4.6537734938077815,
        4.653793316074238,
        4.653813138340696,
        4.653832960607151,
        4.653852782873608,
        4.653872605140065,
        4.653892427406522,
        4.653912249672978,
        4.653932071939434,
        4.653951894205892,
        4.6539717164723475,
        4.653991538738804,
        4.654011361005261,
        4.654031183271718,
        4.654051005538173,
        4.65407082780463,
        4.654090650071087,
        4.654110472337544,
        4.654130294603999,
        4.654150116870457,
        4.654169939136913,
        4.654189761403369,
        4.654209583669826,
        4.654229405936283,
        4.6542492282027395,
        4.654269050469195,
        4.654288872735652,
        4.6543086950021095,
        4.654328517268565,
        4.654348339535022,
        4.654368161801478,
        4.654387984067935,
        4.65440780633439,
        4.654427628600848,
        4.6544474508673055,
        4.654467273133761,
        4.654487095400218,
        4.654506917666674,
        4.654526739933131,
        4.654546562199587,
        4.654566384466044,
        4.654586206732501,
        4.654606028998957,
        4.654625851265413,
        4.654645673531871,
        4.6546654957983264,
        4.654685318064784,
        4.654705140331239,
        4.6547249625976965,
        4.654744784864153,
        4.654764607130609,
        4.654784429397066,
        4.654804251663522,
        4.654824073929979,
        4.654843896196436,
        4.654863718462892,
        4.654883540729349,
        4.654903362995804,
        4.654923185262262,
        4.6549430075287175,
        4.654962829795175,
        4.654982652061632,
        4.655002474328088,
        4.655022296594545,
        4.655042118861001,
        4.655061941127458,
        4.655081763393914,
        4.655101585660371,
        4.655121407926827,
        4.6551412301932835,
        4.65516105245974,
        4.655180874726198,
        4.655200696992653,
        4.65522051925911,
        4.655240341525566,
        4.655260163792023,
        4.6552799860584795,
        4.655299808324936,
        4.655319630591393,
        4.655339452857849,
        4.655359275124305,
        4.655379097390763,
        4.655398919657219,
        4.655418741923675,
        4.655438564190131,
        4.655458386456589,
        4.655478208723044,
        4.655498030989501,
        4.655517853255958,
        4.655537675522415,
        4.655557497788871,
        4.655577320055327,
        4.655597142321785,
        4.655616964588241,
        4.655636786854697,
        4.655656609121154,
        4.655676431387611,
        4.6556962536540665,
        4.655716075920524,
        4.65573589818698,
        4.655755720453437,
        4.655775542719892,
        4.65579536498635,
        4.655815187252807,
        4.655835009519262,
        4.655854831785719,
        4.655874654052176,
        4.6558944763186325,
        4.655914298585089,
        4.655934120851545,
        4.655953943118003,
        4.6559737653844575,
        4.655993587650915,
        4.656013409917372,
        4.6560332321838285,
        4.656053054450284,
        4.656072876716741,
        4.656092698983198,
        4.656112521249655,
        4.656132343516111,
        4.656152165782568,
        4.656171988049024,
        4.65619181031548,
        4.656211632581937,
        4.656231454848394,
        4.656251277114851,
        4.656271099381306,
        4.656290921647764,
        4.6563107439142195,
        4.656330566180676,
        4.656350388447133,
        4.65637021071359,
        4.656390032980046,
        4.656409855246502,
        4.656429677512959,
        4.656449499779416,
        4.656469322045872,
        4.656489144312329,
        4.656508966578785,
        4.656528788845242,
        4.656548611111698,
        4.656568433378155,
        4.656588255644611,
        4.656608077911068,
        4.656627900177524,
        4.6566477224439815,
        4.656667544710437,
        4.656687366976894,
        4.656707189243351,
        4.656727011509807,
        4.656746833776264,
        4.65676665604272,
        4.6567864783091775,
        4.656806300575633,
        4.656826122842091,
        4.656845945108546,
        4.656865767375003,
        4.65688558964146,
        4.656905411907916,
        4.6569252341743725,
        4.656945056440829,
        4.656964878707286,
        4.656984700973743,
        4.657004523240198,
        4.657024345506656,
        4.657044167773111,
        4.6570639900395685,
        4.657083812306025,
        4.657103634572482,
        4.657123456838938,
        4.657143279105394,
        4.657163101371851,
        4.657182923638309,
        4.657202745904764,
        4.657222568171221,
        4.657242390437677,
        4.657262212704134,
        4.65728203497059,
        4.657301857237047,
        4.657321679503505,
        4.6573415017699595,
        4.657361324036417,
        4.657381146302873,
        4.65740096856933,
        4.657420790835786,
        4.657440613102243,
        4.6574604353687,
        4.6574802576351555,
        4.657500079901612,
        4.657718124832635,
        4.657737947099091,
        4.657757769365547,
        4.657777591632003,
        4.657797413898461,
        4.6578172361649175,
        4.657837058431373,
        4.657856880697831,
        4.657876702964287,
        4.657896525230744,
        4.657916347497199,
        4.657936169763657,
        4.6579559920301135,
        4.657975814296569,
        4.657995636563026,
        4.658015458829483,
        4.658035281095939,
        4.658055103362396,
        4.658074925628852,
        4.658094747895309,
        4.658114570161764,
        4.658134392428222,
        4.658154214694679,
        4.658174036961135,
        4.658193859227591,
        4.658213681494048,
        4.6582335037605045,
        4.658253326026962,
        4.658273148293417,
        4.658292970559875,
        4.65831279282633,
        4.658332615092787,
        4.658352437359244,
        4.6583722596257005,
        4.658392081892157,
        4.658411904158613,
        4.6584317264250705,
        4.658451548691527,
        4.658471370957983,
        4.65849119322444,
        4.658511015490896,
        4.658530837757353,
        4.658550660023809,
        4.658570482290266,
        4.658590304556723,
        4.658610126823179,
        4.658629949089636,
        4.6586497713560915,
        4.658669593622549,
        4.658689415889005,
        4.658709238155462,
        4.658729060421918,
        4.658748882688375,
        4.658768704954831,
        4.658788527221288,
        4.658808349487744,
        4.658828171754201,
        4.658847994020657,
        4.658867816287114,
        4.658887638553571,
        4.658907460820027,
        4.658927283086483,
        4.65894710535294,
        4.658966927619397,
        4.6589867498858535,
        4.65900657215231,
        4.659026394418767,
        4.659046216685223,
        4.659066038951679,
        4.659085861218136,
        4.659105683484593,
        4.6591255057510494,
        4.659145328017505,
        4.659165150283963,
        4.659184972550418,
        4.659204794816875,
        4.659224617083332,
        4.659244439349789,
        4.6592642616162445,
        4.659284083882701,
        4.659303906149158,
        4.659323728415615,
        4.65934355068207,
        4.659363372948528,
        4.659383195214984,
        4.6594030174814405,
        4.659422839747897,
        4.659442662014354,
        4.659462484280811,
        4.659482306547266,
        4.659502128813723,
        4.659521951080181,
        4.6595417733466356,
        4.659561595613093,
        4.65958141787955,
        4.6596012401460065,
        4.659621062412463,
        4.659640884678919,
        4.659660706945377,
        4.659680529211832,
        4.659700351478289,
        4.659720173744745,
        4.6597399960112025,
        4.659759818277658,
        4.659779640544115,
        4.659799462810572,
        4.659819285077028,
        4.659839107343484,
        4.659858929609942,
        4.6598787518763976,
        4.659898574142854,
        4.65991839640931,
        4.659938218675768,
        4.659958040942224,
        4.65997786320868,
        4.659997685475137,
        4.6600175077415935,
        4.660037330008049,
        4.660057152274507,
        4.660076974540963,
        4.66009679680742,
        4.660116619073876,
        4.660136441340333,
        4.66015626360679,
        4.660176085873246,
        4.660195908139703,
        4.660215730406159,
        4.660235552672616,
        4.660255374939071,
        4.660275197205529,
        4.660295019471985,
        4.660314841738442,
        4.660334664004898,
        4.660354486271355,
        4.660374308537811,
        4.660394130804268,
        4.660413953070724,
        4.660433775337181,
        4.660453597603637,
        4.660473419870094,
        4.660493242136551,
        4.660513064403007,
        4.660532886669464,
        4.66055270893592,
        4.6605725312023765,
        4.660592353468834,
        4.660612175735289,
        4.6606319980017465,
        4.660651820268202,
        4.66067164253466,
        4.660691464801117,
        4.660711287067572,
        4.66073110933403,
        4.660750931600485,
        4.6607707538669425,
        4.660790576133399,
        4.660810398399856,
        4.660830220666312,
        4.660850042932768,
        4.660869865199225,
        4.660889687465682,
        4.660909509732138,
        4.660929331998595,
        4.660949154265051,
        4.660968976531508,
        4.6609887987979635,
        4.661008621064421,
        4.661028443330878,
        4.6610482655973335,
        4.66106808786379,
        4.661087910130247,
        4.661107732396703,
        4.66112755466316,
        4.661147376929616,
        4.661167199196074,
        4.661266310528356,
        4.661286132794812,
        4.66130595506127,
        4.6613257773277255,
        4.661345599594182,
        4.661365421860639,
        4.6613852441270955,
        4.661405066393551,
        4.661424888660009,
        4.661444710926465,
        4.661464533192921,
        4.661484355459377,
        4.661504177725835,
        4.661523999992291,
        4.661543822258747,
        4.661563644525204,
        4.661583466791661,
        4.661603289058117,
        4.661623111324573,
        4.66164293359103,
        4.6616627558574875,
        4.661682578123942,
        4.6617024003904,
        4.661722222656856,
        4.661742044923313,
        4.661761867189769,
        4.661781689456226,
        4.6618015117226825,
        4.661821333989138,
        4.661841156255596,
        4.661860978522053,
        4.661880800788509,
        4.661900623054965,
        4.661920445321422,
        4.6619402675878785,
        4.661960089854336,
        4.661979912120791,
        4.661999734387249,
        4.662019556653704,
        4.662039378920161,
        4.662059201186617,
        4.6620790234530745,
        4.662098845719531,
        4.662118667985987,
        4.662138490252444,
        4.6621583125189,
        4.662178134785356,
        4.662197957051814,
        4.6622177793182695,
        4.662237601584727,
        4.662257423851182,
        4.66227724611764,
        4.662297068384096,
        4.662316890650553,
        4.662336712917009,
        4.6623565351834655,
        4.662376357449922,
        4.662396179716379,
        4.662416001982836,
        4.662435824249292,
        4.662455646515749,
        4.662475468782205,
        4.662495291048662,
        4.662515113315118,
        4.662534935581575,
        4.662554757848031,
        4.662574580114488,
        4.662594402380945,
        4.662614224647401,
        4.662634046913857,
        4.662653869180314,
        4.662673691446771,
        4.662693513713227,
        4.662713335979683,
        4.662733158246141,
        4.662752980512596,
        4.662772802779053,
        4.662792625045509,
        4.662812447311967,
        4.662832269578423,
        4.662852091844879,
        4.662871914111336,
        4.662891736377792,
        4.6629115586442484,
        4.662931380910706,
        4.662951203177162,
        4.6629710254436185,
        4.662990847710075,
        4.663010669976532,
        4.6630304922429895,
        4.663050314509444,
        4.663070136775902,
        4.663089959042358,
        4.6631097813088145,
        4.663129603575271,
        4.663149425841728,
        4.663169248108185,
        4.66318907037464,
        4.663208892641097,
        4.663228714907555,
        4.6632485371740096,
        4.663268359440467,
        4.663288181706923,
        4.6633080039733805,
        4.663327826239835,
        4.663347648506293,
        4.66336747077275,
        4.663387293039206,
        4.663407115305662,
        4.663426937572119,
        4.663446759838576,
        4.663466582105032,
        4.663486404371488,
        4.663506226637946,
        4.6635260489044015,
        4.663545871170858,
        4.663565693437316,
        4.6635855157037716,
        4.663605337970228,
        4.663625160236684,
        4.663644982503142,
        4.663664804769598,
        4.663684627036054,
        4.663704449302511,
        4.6637242715689675,
        4.663744093835424,
        4.663763916101881,
        4.663783738368337,
        4.663803560634794,
        4.663823382901249,
        4.663843205167707,
        4.663863027434163,
        4.66388284970062,
        4.663902671967076,
        4.663922494233533,
        4.663942316499989,
        4.663962138766445,
        4.663981961032902,
        4.664001783299359,
        4.664021605565815,
        4.664041427832272,
        4.664061250098728,
        4.664081072365185,
        4.664100894631642,
        4.664120716898098,
        4.664140539164555,
        4.664160361431011,
        4.664180183697468,
        4.664200005963925,
        4.664219828230381,
        4.664239650496838,
        4.664259472763294,
        4.6642792950297505,
        4.664299117296208,
        4.664318939562663,
        4.6643387618291205,
        4.664358584095576,
        4.664378406362034,
        4.664398228628489,
        4.664418050894946,
        4.664437873161403,
        4.66445769542786,
        4.664477517694316,
        4.664497339960772,
        4.664517162227229,
        4.664536984493686,
        4.6645568067601415,
        4.664576629026599,
        4.664596451293055,
        4.664616273559512,
        4.664636095825968,
        4.664655918092425,
        4.664675740358881,
        4.6646955626253375,
        4.664715384891795,
        4.664735207158252,
        4.6647550294247075,
        4.664774851691164,
        4.664794673957621,
        4.664814496224078,
        4.664834318490534,
        4.66485414075699,
        4.664873963023448,
        4.664893785289903,
        4.66491360755636,
        4.664933429822817,
        4.664953252089274,
        4.664973074355729,
        4.664992896622186,
        4.665012718888643,
        4.665032541155099,
        4.665052363421555,
        4.665072185688013,
        4.665092007954469,
        4.665111830220925,
        4.665131652487381,
        4.665151474753839,
        4.665171297020295,
        4.665191119286751,
        4.665210941553208,
        4.665230763819665,
        4.665250586086121,
        4.665270408352578,
        4.665290230619035,
        4.665310052885491,
        4.665329875151947,
        4.665349697418404,
        4.6653695196848615,
        4.665389341951316,
        4.665409164217774,
        4.66542898648423,
        4.665448808750687,
        4.665468631017143,
        4.6654884532836,
        4.6655082755500565,
        4.665528097816513,
        4.665547920082969,
        4.665567742349427,
        4.665587564615882,
        4.665607386882339,
        4.665627209148795,
        4.6656470314152525,
        4.665666853681708,
        4.665686675948165,
        4.665706498214622,
        4.665726320481078,
        4.665746142747534,
        4.665765965013991,
        4.665785787280448,
        4.665805609546905,
        4.665825431813361,
        4.665845254079818,
        4.665865076346274,
        4.665884898612731,
        4.665904720879188,
        4.6659245431456435,
        4.665944365412101,
        4.665964187678556,
        4.665984009945014,
        4.66600383221147,
        4.666023654477927,
        4.666043476744383,
        4.6660632990108395,
        4.666083121277296,
        4.666102943543753,
        4.666122765810209,
        4.666142588076666,
        4.666162410343122,
        4.666182232609579,
        4.666202054876035,
        4.666221877142492,
        4.666241699408949,
        4.666261521675405,
        4.666281343941861,
        4.666301166208318,
        4.666320988474774,
        4.666340810741231,
        4.666360633007687,
        4.666380455274145,
        4.666400277540601,
        4.666420099807057,
        4.666439922073515,
        4.66645974433997,
        4.666479566606427,
        4.666499388872883,
        4.666519211139341,
        4.666539033405797,
        4.666558855672253,
        4.66657867793871,
        4.666598500205167,
        4.6666183224716224,
        4.66663814473808,
        4.666657967004536,
        4.6666777892709925,
        4.666697611537448,
        4.666717433803906,
        4.666737256070363,
        4.666757078336818,
        4.666776900603275,
        4.666796722869732,
        4.666816545136188,
        4.666836367402644,
        4.666856189669101,
        4.666876011935559,
        4.6668958342020135,
        4.666915656468471,
        4.666935478734927,
        4.6669553010013844,
        4.666975123267841,
        4.666994945534297,
        4.6670147678007545,
        4.667034590067209,
        4.667054412333667,
        4.667074234600124,
        4.66709405686658,
        4.667113879133036,
        4.667133701399493,
        4.66715352366595,
        4.667173345932406,
        4.667193168198862,
        4.66721299046532,
        4.6672328127317755,
        4.667252634998232,
        4.667272457264689,
        4.667292279531146,
        4.667312101797602,
        4.667331924064058,
        4.667351746330515,
        4.667371568596972,
        4.667391390863427,
        4.667411213129885,
        4.667431035396341,
        4.667450857662798,
        4.667470679929253,
        4.667490502195711,
        4.667510324462167,
        4.667530146728623,
        4.667549968995081,
        4.667569791261537,
        4.667589613527994,
        4.66760943579445,
        4.667629258060907,
        4.667649080327363,
        4.66766890259382,
        4.667688724860276,
        4.667708547126733,
        4.667728369393189,
        4.667748191659646,
        4.667768013926102,
        4.667787836192559,
        4.667807658459016,
        4.667827480725472,
        4.6678473029919285,
        4.667867125258385,
        4.667886947524841,
        4.667906769791299,
        4.667926592057754,
        4.667946414324212,
        4.667966236590667,
        4.6679860588571245,
        4.66800588112358,
        4.668025703390038,
        4.668045525656494,
        4.66806534792295,
        4.668085170189407,
        4.668104992455863,
        4.66812481472232,
        4.668144636988777,
        4.668164459255234,
        4.66818428152169,
        4.668204103788146,
        4.668223926054603,
        4.66824374832106,
        4.6682635705875155,
        4.668283392853973,
        4.668303215120429,
        4.668323037386886,
        4.668342859653342,
        4.668362681919799,
        4.668382504186256,
        4.6684023264527115,
        4.668422148719168,
        4.668441970985626,
        4.668461793252081,
        4.668481615518538,
        4.668501437784994,
        4.668521260051452,
        4.668541082317907,
        4.668560904584364,
        4.668580726850821,
        4.668600549117277,
        4.668620371383733,
        4.66864019365019,
        4.668660015916647,
        4.668679838183103,
        4.66869966044956,
        4.668719482716017,
        4.6687393049824735,
        4.668759127248929,
        4.668778949515387,
        4.668798771781843,
        4.668818594048299,
        4.668838416314755,
        4.668858238581213,
        4.668878060847669,
        4.668897883114125,
        4.668917705380582,
        4.668937527647039,
        4.668957349913494,
        4.668977172179952,
        4.668996994446408,
        4.669016816712865,
        4.66903663897932,
        4.669056461245778,
        4.669076283512235,
        4.669096105778691,
        4.669115928045147,
        4.669135750311604,
        4.6691555725780605,
        4.669175394844516,
        4.669195217110973,
        4.6692150393774305,
        4.669234861643886,
        4.669254683910343,
        4.6692745061768,
        4.669294328443256,
        4.669314150709713,
        4.669333972976169,
        4.6693537952426265,
        4.669373617509082,
        4.669393439775539,
        4.669413262041996,
        4.669433084308452,
        4.669452906574909,
        4.669472728841365,
        4.669492551107822,
        4.669512373374279,
        4.669532195640734,
        4.669552017907192,
        4.6695718401736475,
        4.669591662440105,
        4.669611484706561,
        4.6696313069730175,
        4.669651129239474,
        4.66967095150593,
        4.669690773772387,
        4.669710596038844,
        4.6697304183053,
        4.669750240571757,
        4.669770062838213,
        4.66978988510467,
        4.669809707371126,
        4.669829529637583,
        4.66984935190404,
        4.669869174170496,
        4.669888996436953,
        4.669908818703409,
        4.669928640969866,
        4.669948463236323,
        4.669968285502779,
        4.669988107769235,
        4.670007930035692,
        4.670027752302148,
        4.670047574568605,
        4.670067396835061,
        4.670087219101519,
        4.670107041367974,
        4.670126863634431,
        4.670146685900888,
        4.670166508167345,
        4.6701863304338005,
        4.670206152700257,
        4.670225974966714,
        4.670245797233171,
        4.670265619499626,
        4.670285441766084,
        4.67030526403254,
        4.6703250862989965,
        4.670344908565453,
        4.67036473083191,
        4.6703845530983665,
        4.670404375364822,
        4.67042419763128,
        4.670444019897736,
        4.670463842164192,
        4.670483664430649,
        4.670503486697106,
        4.6705233089635625,
        4.670543131230018,
        4.670562953496475,
        4.670582775762933,
        4.6706025980293875,
        4.670622420295845,
        4.670642242562301,
        4.6706620648287585,
        4.670681887095214,
        4.670701709361671,
        4.670721531628128,
        4.6707413538945834,
        4.67076117616104,
        4.670780998427498,
        4.6708008206939535,
        4.67082064296041,
        4.670840465226866,
        4.670860287493324,
        4.67088010975978,
        4.670899932026236,
        4.670919754292693,
        4.6709395765591495,
        4.670959398825606,
        4.670979221092062,
        4.67099904335852,
        4.671018865624976,
        4.671038687891432,
        4.671058510157889,
        4.6710783324243454,
        4.671098154690801,
        4.671117976957259,
        4.671137799223715,
        4.671157621490172,
        4.671177443756627,
        4.671197266023085,
        4.671217088289541,
        4.671236910555998,
        4.671256732822454,
        4.671276555088911,
        4.671296377355367,
        4.671316199621824,
        4.67133602188828,
        4.671355844154737,
        4.671375666421193,
        4.67139548868765,
        4.671415310954107,
        4.671435133220563,
        4.671454955487019,
        4.671474777753476,
        4.671494600019932,
        4.67151442228639,
        4.671534244552846,
        4.6715540668193025,
        4.671573889085759,
        4.671593711352216,
        4.671613533618672,
        4.671633355885128,
        4.671653178151586,
        4.671673000418041,
        4.6716928226844985,
        4.671712644950954,
        4.671732467217412,
        4.671752289483868,
        4.671772111750324,
        4.671791934016781,
        4.671811756283237,
        4.6718315785496936,
        4.671851400816151,
        4.671871223082607,
        4.671891045349064,
        4.671910867615519,
        4.671930689881977,
        4.671950512148434,
        4.6719703344148895,
        4.671990156681346,
        4.672009978947803,
        4.672029801214259,
        4.672049623480716,
        4.672069445747172,
        4.67208926801363,
        4.6721090902800855,
        4.672128912546542,
        4.672148734813,
        4.672168557079455,
        4.672188379345912,
        4.672386602010477,
        4.672406424276933,
        4.672426246543391,
        4.672446068809847,
        4.672465891076303,
        4.67248571334276,
        4.672505535609217,
        4.6725253578756725,
        4.672545180142129,
        4.672565002408586,
        4.672584824675043,
        4.672604646941498,
        4.672624469207956,
        4.672644291474412,
        4.672664113740868,
        4.672683936007326,
        4.672703758273782,
        4.672723580540239,
        4.672743402806694,
        4.672763225073152,
        4.672783047339608,
        4.672802869606065,
        4.672822691872521,
        4.672842514138978,
        4.6728623364054345,
        4.67288215867189,
        4.672901980938347,
        4.6729218032048045,
        4.67294162547126,
        4.672961447737717,
        4.672981270004173,
        4.67300109227063,
        4.673020914537087,
        4.673040736803543,
        4.67306055907,
        4.673080381336456,
        4.673100203602912,
        4.67312002586937,
        4.6731398481358255,
        4.673159670402283,
        4.673179492668738,
        4.673199314935196,
        4.673219137201652,
        4.673238959468108,
        4.673258781734566,
        4.6732786040010215,
        4.673298426267479,
        4.673318248533934,
        4.6733380708003915,
        4.673357893066848,
        4.673377715333305,
        4.673397537599761,
        4.673417359866217,
        4.673437182132674,
        4.673457004399131,
        4.673476826665587,
        4.673496648932044,
        4.6735164711985,
        4.673536293464957,
        4.673556115731413,
        4.67357593799787,
        4.673595760264326,
        4.673615582530783,
        4.673635404797239,
        4.673655227063697,
        4.673675049330152,
        4.673694871596609,
        4.673714693863065,
        4.673734516129522,
        4.6737543383959785,
        4.673774160662435,
        4.673793982928892,
        4.673813805195348,
        4.673833627461805,
        4.673853449728262,
        4.673873271994719,
        4.6738930942611745,
        4.673912916527631,
        4.673932738794088,
        4.673952561060544,
        4.673972383327,
        4.673992205593458,
        4.674012027859914,
        4.6740318501263705,
        4.674051672392826,
        4.674071494659284,
        4.67409131692574,
        4.674111139192196,
        4.674130961458653,
        4.67415078372511,
        4.6741706059915655,
        4.674190428258023,
        4.674210250524479,
        4.6742300727909365,
        4.674249895057391,
        4.674269717323849,
        4.674289539590306,
        4.6743093618567615,
        4.674329184123218,
        4.674349006389675,
        4.674368828656132,
        4.674388650922588,
        4.674408473189045,
        4.674428295455502,
        4.6744481177219575,
        4.674467939988414,
        4.674487762254872,
        4.6745075845213275,
        4.674527406787784,
        4.67454722905424,
        4.674685984919436,
        4.674705807185893,
        4.67472562945235,
        4.674745451718805,
        4.674765273985263,
        4.674785096251719,
        4.674804918518175,
        4.674824740784632,
        4.674844563051089,
        4.674864385317545,
        4.674884207584001,
        4.674904029850458,
        4.674923852116915,
        4.674943674383371,
        4.674963496649828,
        4.674983318916285,
        4.675003141182741,
        4.675022963449198,
        4.675042785715654,
        4.675062607982111,
        4.675082430248567,
        4.675102252515024,
        4.67512207478148,
        4.675141897047937,
        4.675161719314393,
        4.67518154158085,
        4.6752013638473064,
        4.675221186113763,
        4.675241008380219,
        4.6752608306466765,
        4.675280652913132,
        4.67530047517959,
        4.675320297446045,
        4.675340119712502,
        4.675359941978959,
        4.675379764245415,
        4.675399586511872,
        4.675419408778328,
        4.675439231044785,
        4.675459053311242,
        4.6754788755776975,
        4.675498697844155,
        4.675518520110611,
        4.675538342377068,
        4.675558164643525,
        4.675577986909981,
        4.675597809176438,
        4.675617631442893,
        4.675637453709351,
        4.675657275975808,
        4.6756770982422635,
        4.67569692050872,
        4.675716742775177,
        4.675736565041633,
        4.675756387308089,
        4.675776209574546,
        4.675796031841004,
        4.675815854107459,
        4.675835676373916,
        4.675855498640372,
        4.675875320906829,
        4.675895143173285,
        4.675914965439742,
        4.675934787706199,
        4.6759546099726546,
        4.675974432239111,
        4.675994254505569,
        4.676014076772025,
        4.676033899038481,
        4.676053721304937,
        4.676073543571395,
        4.676093365837851,
        4.676113188104307,
        4.676133010370765,
        4.676152832637221,
        4.676172654903677,
        4.676192477170134,
        4.676212299436591,
        4.6762321217030465,
        4.676251943969503,
        4.67627176623596,
        4.676291588502417,
        4.676311410768872,
        4.67633123303533,
        4.676351055301786,
        4.676370877568243,
        4.676390699834698,
        4.676410522101156,
        4.6764303443676125,
        4.676450166634068,
        4.676469988900525,
        4.676489811166982,
        4.676509633433438,
        4.676529455699895,
        4.676549277966351,
        4.6765691002328085,
        4.676588922499263,
        4.676608744765721,
        4.676628567032178,
        4.676648389298634,
        4.676668211565091,
        4.676688033831547,
        4.676707856098004,
        4.676727678364461,
        4.676747500630917,
        4.676767322897374,
        4.67678714516383,
        4.676806967430286,
        4.676826789696744,
        4.6768466119631995,
        4.676866434229657,
        4.676886256496112,
        4.67690607876257,
        4.676925901029025,
        4.676945723295482,
        4.676965545561939,
        4.6769853678283955,
        4.677005190094852,
        4.677025012361308,
        4.677044834627765,
        4.677064656894222,
        4.677084479160678,
        4.677104301427135,
        4.6771241236935905,
        4.677143945960048,
        4.677163768226504,
        4.677183590492961,
        4.677203412759417,
        4.677223235025874,
        4.677243057292331,
        4.677262879558787,
        4.677282701825244,
        4.6773025240917,
        4.677322346358157,
        4.677342168624613,
        4.677361990891071,
        4.677381813157526,
        4.677401635423983,
        4.677421457690439,
        4.677441279956897,
        4.6774611022233525,
        4.677480924489809,
        4.677500746756266,
        4.677520569022722,
        4.677540391289178,
        4.677560213555635,
        4.677580035822092,
        4.6775998580885485,
        4.677619680355004,
        4.677639502621462,
        4.677659324887917,
        4.677679147154374,
        4.677698969420831,
        4.677718791687288,
        4.677738613953744,
        4.6777584362202,
        4.677778258486657,
        4.6777980807531145,
        4.67781790301957,
        4.677837725286027,
        4.677857547552484,
        4.6778773698189395,
        4.677897192085397,
        4.677917014351853,
        4.6779368366183105,
        4.677956658884765,
        4.677976481151223,
        4.67799630341768,
        4.6780161256841355,
        4.678035947950592,
        4.678055770217049,
        4.678075592483506,
        4.678095414749961,
        4.678115237016418,
        4.678135059282876,
        4.6781548815493315,
        4.678174703815788,
        4.678194526082244,
        4.6782143483487015,
        4.678234170615157,
        4.678253992881614,
        4.678273815148071,
        4.678293637414527,
        4.678313459680983,
        4.678333281947441,
        4.678353104213897,
        4.678372926480353,
        4.67839274874681,
        4.678412571013267,
        4.678432393279724,
        4.678452215546179,
        4.678472037812637,
        4.678491860079093,
        4.67851168234555,
        4.678531504612006,
        4.678551326878463,
        4.678571149144919,
        4.678590971411375,
        4.678610793677832,
        4.678630615944289,
        4.678650438210745,
        4.678670260477202,
        4.678690082743658,
        4.678709905010115,
        4.67872972727657,
        4.678749549543028,
        4.6787693718094845,
        4.678789194075941,
        4.678809016342397,
        4.678828838608854,
        4.67884866087531,
        4.678868483141768,
        4.678888305408223,
        4.6789081276746805,
        4.678927949941136,
        4.678947772207593,
        4.6789675944740505,
        4.678987416740506,
        4.679007239006964,
        4.679027061273419,
        4.679046883539876,
        4.679066705806333,
        4.679086528072789,
        4.679106350339246,
        4.679126172605702,
        4.679145994872159,
        4.679165817138616,
        4.6791856394050715,
        4.679205461671529,
        4.679225283937985,
        4.679245106204442,
        4.679264928470898,
        4.679284750737355,
        4.679304573003811,
        4.6793243952702674,
        4.679344217536724,
        4.679364039803181,
        4.679383862069637,
        4.679403684336094,
        4.67942350660255,
        4.679443328869007,
        4.6794631511354625,
        4.67948297340192,
        4.679502795668377,
        4.679522617934833,
        4.67954244020129,
        4.679562262467746,
        4.679582084734204,
        4.679601907000659,
        4.679621729267116,
        4.679641551533573,
        4.679661373800029,
        4.679681196066485,
        4.679701018332943,
        4.679720840599399,
        4.679740662865855,
        4.679760485132311,
        4.679780307398769,
        4.6798001296652245,
        4.679819951931681,
        4.679839774198138,
        4.679859596464595,
        4.67987941873105,
        4.679899240997507,
        4.679919063263964,
        4.679938885530421,
        4.679958707796876,
        4.679978530063334,
        4.67999835232979,
        4.680018174596246,
        4.680037996862703,
        4.68005781912916,
        4.680077641395616,
        4.680097463662072,
        4.68011728592853,
        4.6801371081949865,
        4.680156930461442,
        4.680176752727899,
        4.680196574994356,
        4.680216397260812,
        4.680236219527269,
        4.680256041793725,
        4.6802758640601825,
        4.680295686326638,
        4.680315508593095,
        4.680335330859552,
        4.680355153126008,
        4.680374975392464,
        4.680394797658921,
        4.6804146199253776,
        4.680434442191835,
        4.68045426445829,
        4.680474086724748,
        4.680493908991203,
        4.68051373125766,
        4.680533553524116,
        4.6805533757905735,
        4.68057319805703,
        4.680593020323486,
        4.680612842589943,
        4.680632664856399,
        4.680652487122857,
        4.680672309389313,
        4.6806921316557695,
        4.680711953922226,
        4.680731776188682,
        4.680751598455139,
        4.680771420721596,
        4.680791242988052,
        4.680811065254509,
        4.6808308875209645,
        4.680850709787422,
        4.680870532053878,
        4.680890354320335,
        4.680910176586791,
        4.680929998853248,
        4.680949821119704,
        4.680969643386161,
        4.680989465652617,
        4.681009287919075,
        4.68102911018553,
        4.681048932451987,
        4.681068754718444,
        4.6810885769849,
        4.6811083992513565,
        4.681128221517813,
        4.68114804378427,
        4.681167866050726,
        4.681187688317182,
        4.68120751058364,
        4.681227332850096,
        4.681247155116552,
        4.681266977383009,
        4.681286799649466,
        4.6813066219159225,
        4.681326444182378,
        4.681346266448836,
        4.681366088715292,
        4.681385910981748,
        4.681405733248205,
        4.681425555514662,
        4.681445377781118,
        4.681465200047574,
        4.681485022314031,
        4.681703067245053,
        4.6817228895115095,
        4.681742711777966,
        4.681762534044422,
        4.68178235631088,
        4.681802178577335,
        4.681822000843792,
        4.68184182311025,
        4.6818616453767055,
        4.681881467643162,
        4.681901289909618,
        4.6819211121760755,
        4.681940934442531,
        4.681960756708988,
        4.681980578975445,
        4.682000401241901,
        4.682020223508357,
        4.682040045774815,
        4.682059868041271,
        4.682079690307728,
        4.682099512574183,
        4.682119334840641,
        4.682139157107097,
        4.682158979373553,
        4.68217880164001,
        4.682198623906467,
        4.682218446172923,
        4.682238268439379,
        4.682258090705836,
        4.682277912972293,
        4.682297735238748,
        4.682317557505206,
        4.682337379771662,
        4.682357202038119,
        4.682377024304576,
        4.682396846571032,
        4.682416668837489,
        4.682436491103945,
        4.682456313370402,
        4.6824761356368585,
        4.682495957903315,
        4.682515780169771,
        4.682535602436228,
        4.682555424702684,
        4.682575246969142,
        4.682595069235597,
        4.6826148915020545,
        4.68263471376851,
        4.682654536034967,
        4.682674358301424,
        4.68269418056788,
        4.682714002834337,
        4.682733825100793,
        4.6827536473672495,
        4.682773469633707,
        4.682793291900163,
        4.68281311416662,
        4.682832936433075,
        4.682912225498902,
        4.682932047765359,
        4.682951870031816,
        4.682971692298271,
        4.682991514564729,
        4.683011336831185,
        4.6830311590976414,
        4.683050981364098,
        4.683070803630555,
        4.683090625897011,
        4.683110448163468,
        4.683130270429924,
        4.683150092696382,
        4.6831699149628365,
        4.683189737229294,
        4.683209559495751,
        4.683229381762207,
        4.683249204028663,
        4.68326902629512,
        4.683288848561577,
        4.683308670828033,
        4.683328493094489,
        4.683348315360947,
        4.683368137627402,
        4.683387959893859,
        4.683407782160316,
        4.683427604426773,
        4.683447426693228,
        4.683467248959685,
        4.683487071226142,
        4.6835068934925985,
        4.683526715759055,
        4.683546538025512,
        4.683566360291969,
        4.683586182558424,
        4.683606004824881,
        4.683625827091338,
        4.683645649357795,
        4.68366547162425,
        4.683685293890708,
        4.683705116157164,
        4.68372493842362,
        4.683744760690077,
        4.683764582956534,
        4.68378440522299,
        4.683804227489446,
        4.683824049755903,
        4.6838438720223605,
        4.683863694288816,
        4.683883516555273,
        4.683903338821729,
        4.683923161088186,
        4.683942983354642,
        4.683962805621099,
        4.683982627887556,
        4.684002450154012,
        4.684022272420468,
        4.684042094686925,
        4.6840619169533815,
        4.684081739219838,
        4.684101561486295,
        4.6841213837527516,
        4.684141206019208,
        4.684161028285664,
        4.684180850552122,
        4.684200672818577,
        4.684220495085035,
        4.68424031735149,
        4.6842601396179475,
        4.684279961884404,
        4.68429978415086,
        4.684319606417317,
        4.684339428683773,
        4.68435925095023,
        4.684379073216687,
        4.684398895483143,
        4.6844187177496,
        4.684438540016055,
        4.684458362282513,
        4.684478184548969,
        4.684498006815426,
        4.684517829081882,
        4.6845376513483385,
        4.684557473614795,
        4.684577295881253,
        4.684597118147708,
        4.684616940414165,
        4.684636762680621,
        4.684656584947078,
        4.6846764072135345,
        4.684696229479991,
        4.684716051746449,
        4.684735874012904,
        4.684755696279361,
        4.684775518545817,
        4.684795340812274,
        4.6848151630787305,
        4.684834985345187,
        4.684854807611644,
        4.6848746298781,
        4.684894452144556,
        4.684914274411014,
        4.68493409667747,
        4.684953918943926,
        4.684973741210382,
        4.68499356347684,
        4.685013385743296,
        4.685033208009752,
        4.685053030276209,
        4.685072852542666,
        4.6850926748091215,
        4.685112497075579,
        4.685132319342035,
        4.685152141608492,
        4.685171963874947,
        4.685191786141405,
        4.685211608407862,
        4.6852314306743175,
        4.685251252940775,
        4.685271075207231,
        4.685290897473688,
        4.685310719740143,
        4.685330542006601,
        4.685350364273058,
        4.685370186539513,
        4.68539000880597,
        4.685409831072427,
        4.6854296533388835,
        4.68544947560534,
        4.685469297871796,
        4.685489120138254,
        4.6855089424047085,
        4.685528764671166,
        4.685548586937623,
        4.6855684092040795,
        4.685588231470535,
        4.685608053736992,
        4.685627876003449,
        4.685647698269906,
        4.685667520536361,
        4.6858459209344705,
        4.685865743200927,
        4.685885565467384,
        4.685905387733841,
        4.685925210000297,
        4.685945032266753,
        4.68596485453321,
        4.685984676799667,
        4.686004499066123,
        4.68602432133258,
        4.686044143599036,
        4.686063965865493,
        4.686083788131949,
        4.686103610398406,
        4.686123432664862,
        4.686143254931319,
        4.686163077197775,
        4.6861828994642325,
        4.686202721730688,
        4.686222543997145,
        4.686242366263601,
        4.686262188530058,
        4.686282010796515,
        4.686301833062971,
        4.686321655329428,
        4.686341477595884,
        4.686361299862342,
        4.686381122128798,
        4.686400944395254,
        4.686420766661711,
        4.686440588928167,
        4.6864604111946235,
        4.68648023346108,
        4.686500055727537,
        4.686519877993994,
        4.686539700260449,
        4.686559522526907,
        4.686579344793362,
        4.6865991670598195,
        4.686618989326276,
        4.686638811592733,
        4.686658633859189,
        4.686678456125645,
        4.686698278392102,
        4.686718100658559,
        4.686737922925015,
        4.686757745191472,
        4.686777567457928,
        4.686797389724385,
        4.686817211990841,
        4.686837034257298,
        4.686856856523755,
        4.6868766787902105,
        4.686896501056667,
        4.686916323323125,
        4.686936145589581,
        4.686955967856037,
        4.686975790122494,
        4.686995612388951,
        4.6870154346554065,
        4.687035256921863,
        4.687055079188321,
        4.687074901454777,
        4.687094723721233,
        4.687114545987689,
        4.687134368254147,
        4.6871541905206024,
        4.687174012787059,
        4.687193835053516,
        4.6872136573199725,
        4.687233479586428,
        4.687253301852886,
        4.687273124119342,
        4.687292946385798,
        4.687312768652254,
        4.687332590918712,
        4.6873524131851685,
        4.687372235451624,
        4.687392057718081,
        4.687411879984538,
        4.6874317022509935,
        4.687451524517451,
        4.687471346783907,
        4.6874911690503644,
        4.68751099131682,
        4.687530813583277,
        4.6875506358497345,
        4.68757045811619,
        4.687590280382647,
        4.687610102649103,
        4.68762992491556,
        4.687649747182015,
        4.687669569448473,
        4.68768939171493,
        4.687709213981386,
        4.687729036247842,
        4.687748858514299,
        4.6877686807807555,
        4.687788503047213,
        4.687808325313668,
        4.687828147580126,
        4.687847969846581,
        4.687867792113038,
        4.687887614379495,
        4.687907436645951,
        4.687927258912408,
        4.687947081178864,
        4.687966903445321,
        4.687986725711778,
        4.688006547978233,
        4.6882444151757126,
        4.688264237442169,
        4.688284059708626,
        4.688303881975082,
        4.688323704241539,
        4.688343526507995,
        4.688363348774452,
        4.688383171040908,
        4.688402993307365,
        4.688422815573822,
        4.688442637840278,
        4.688462460106734,
        4.688482282373191,
        4.688502104639647,
        4.6885219269061045,
        4.68854174917256,
        4.688561571439018,
        4.688581393705473,
        4.68860121597193,
        4.688621038238387,
        4.688640860504844,
        4.6886606827713,
        4.688680505037756,
        4.688700327304214,
        4.68872014957067,
        4.688739971837126,
        4.688759794103583,
        4.68877961637004,
        4.6887994386364955,
        4.688819260902952,
        4.688839083169409,
        4.688858905435866,
        4.688878727702321,
        4.688898549968779,
        4.688918372235235,
        4.6889381945016915,
        4.688958016768148,
        4.688977839034605,
        4.6889976613010615,
        4.689017483567517,
        4.689037305833974,
        4.689057128100432,
        4.6890769503668865,
        4.689096772633344,
        4.6891165948998,
        4.6891364171662575,
        4.689156239432713,
        4.68917606169917,
        4.689195883965627,
        4.6892157062320825,
        4.68923552849854,
        4.689255350764997,
        4.6892751730314535,
        4.689294995297909,
        4.689314817564366,
        4.689334639830823,
        4.68935446209728,
        4.689374284363735,
        4.689394106630193,
        4.6894139288966485,
        4.689433751163105,
        4.689453573429561,
        4.689473395696019,
        4.689493217962475,
        4.689513040228931,
        4.689532862495388,
        4.6895526847618445,
        4.6895725070283,
        4.689592329294758,
        4.689612151561214,
        4.689631973827671,
        4.689651796094126,
        4.689671618360584,
        4.6896914406270405,
        4.689711262893497,
        4.689731085159953,
        4.68975090742641,
        4.689770729692866,
        4.689790551959323,
        4.68981037422578,
        4.689830196492236,
        4.689850018758693,
        4.689869841025149,
        4.6898896632916065,
        4.689909485558062,
        4.689929307824519,
        4.689949130090975,
        4.689968952357432,
        4.689988774623889,
        4.690008596890345,
        4.690028419156802,
        4.690048241423258,
        4.690068063689715,
        4.690087885956171,
        4.6901077082226275,
        4.690127530489085,
        4.69014735275554,
        4.6901671750219975,
        4.690186997288453,
        4.690206819554911,
        4.690226641821367,
        4.690246464087823,
        4.69026628635428,
        4.690286108620736,
        4.690305930887193,
        4.69032575315365,
        4.690345575420106,
        4.690365397686563,
        4.690385219953019,
        4.690405042219476,
        4.690424864485934,
        4.690444686752389,
        4.690464509018846,
        4.690484331285302,
        4.690504153551759,
        4.690523975818215,
        4.690543798084672,
        4.690563620351129,
        4.6905834426175845,
        4.690603264884041,
        4.690761843015694,
        4.690781665282151,
        4.690801487548606,
        4.690821309815063,
        4.69084113208152,
        4.6908609543479765,
        4.690880776614432,
        4.69090059888089,
        4.6909204211473465,
        4.690940243413802,
        4.69096006568026,
        4.690979887946716,
        4.690999710213172,
        4.691019532479628,
        4.691039354746086,
        4.6910591770125425,
        4.691078999278998,
        4.691098821545455,
        4.691118643811912,
        4.691138466078368,
        4.691158288344824,
        4.691178110611281,
        4.6911979328777385,
        4.691217755144193,
        4.691237577410651,
        4.691257399677107,
        4.691277221943564,
        4.69129704421002,
        4.691316866476477,
        4.6913366887429335,
        4.691356511009389,
        4.691376333275846,
        4.691396155542304,
        4.691415977808759,
        4.691554733673955,
        4.691574555940412,
        4.691594378206869,
        4.6916142004733254,
        4.691634022739782,
        4.691653845006238,
        4.691673667272695,
        4.691693489539152,
        4.691713311805607,
        4.691733134072065,
        4.6917529563385205,
        4.691772778604978,
        4.691792600871433,
        4.691812423137891,
        4.691832245404347,
        4.691852067670804,
        4.69187188993726,
        4.6918917122037165,
        4.691911534470173,
        4.69193135673663,
        4.691951179003086,
        4.691971001269543,
        4.691990823535999,
        4.692010645802456,
        4.692030468068912,
        4.692050290335369,
        4.692070112601826,
        4.692089934868282,
        4.692109757134739,
        4.692129579401196,
        4.692149401667652,
        4.692169223934108,
        4.692189046200565,
        4.692208868467022,
        4.6922286907334785,
        4.692248512999934,
        4.692268335266392,
        4.692288157532847,
        4.692307979799304,
        4.692327802065761,
        4.692347624332218,
        4.6923674465986736,
        4.69238726886513,
        4.692407091131587,
        4.692426913398043,
        4.692446735664499,
        4.692466557930957,
        4.692486380197413,
        4.6925062024638695,
        4.692526024730325,
        4.692545846996783,
        4.69256566926324,
        4.692585491529695,
        4.692605313796152,
        4.692625136062609,
        4.6926449583290655,
        4.692664780595522,
        4.692684602861979,
        4.6927044251284356,
        4.692724247394891,
        4.692744069661348,
        4.692763891927806,
        4.6927837141942605,
        4.692803536460718,
        4.692823358727174,
        4.6928431809936315,
        4.692863003260087,
        4.692882825526544,
        4.692902647793001,
        4.692922470059457,
        4.692942292325913,
        4.69296211459237,
        4.692981936858827,
        4.693001759125283,
        4.693021581391739,
        4.693041403658197,
        4.6930612259246525,
        4.693081048191109,
        4.693100870457566,
        4.6931206927240225,
        4.693140514990478,
        4.693160337256935,
        4.693180159523392,
        4.693199981789849,
        4.693219804056305,
        4.693239626322762,
        4.6932594485892185,
        4.693279270855675,
        4.693299093122132,
        4.693318915388588,
        4.693338737655045,
        4.6933585599215,
        4.693378382187958,
        4.6933982044544145,
        4.693418026720871,
        4.693437848987327,
        4.693457671253784,
        4.69347749352024,
        4.693497315786697,
        4.693517138053153,
        4.69353696031961,
        4.693556782586066,
        4.693576604852523,
        4.693596427118979,
        4.693616249385436,
        4.693636071651893,
        4.693655893918349,
        4.6936757161848055,
        4.693695538451262,
        4.693715360717718,
        4.693735182984176,
        4.693755005250631,
        4.693774827517089,
        4.693794649783545,
        4.6938144720500015,
        4.693834294316459,
        4.693854116582914,
        4.6938739388493715,
        4.693893761115827,
        4.693913583382285,
        4.693933405648741,
        4.693953227915197,
        4.693973050181654,
        4.693992872448111,
        4.694012694714567,
        4.694032516981024,
        4.69405233924748,
        4.694072161513937,
        4.6940919837803925,
        4.69411180604685,
        4.694131628313307,
        4.694151450579763,
        4.694171272846219,
        4.694191095112676,
        4.694210917379132,
        4.6942307396455885,
        4.694250561912045,
        4.694270384178503,
        4.694290206444958,
        4.694310028711415,
        4.694329850977871,
        4.694349673244329,
        4.694369495510785,
        4.694389317777241,
        4.694409140043699,
        4.694428962310154,
        4.694448784576611,
        4.694468606843068,
        4.694488429109525,
        4.69450825137598,
        4.694528073642437,
        4.694547895908894,
        4.6945677181753505,
        4.694587540441806,
        4.694607362708264,
        4.69462718497472,
        4.694647007241176,
        4.694666829507633,
        4.69468665177409,
        4.694706474040546,
        4.694726296307002,
        4.694746118573459,
        4.694765940839916,
        4.694785763106371,
        4.694805585372829,
        4.694825407639285,
        4.694845229905742,
        4.694865052172197,
        4.694884874438655,
        4.694904696705112,
        4.694924518971567,
        4.694944341238025,
        4.694964163504481,
        4.694983985770938,
        4.695003808037394,
        4.695023630303851,
        4.6950434525703075,
        4.695063274836764,
        4.69508309710322,
        4.695102919369678,
        4.695122741636133,
        4.69514256390259,
        4.695162386169046,
        4.6951822084355035,
        4.69520203070196,
        4.695221852968416,
        4.695241675234873,
        4.695261497501329,
        4.695281319767785,
        4.695301142034243,
        4.695320964300699,
        4.695340786567156,
        4.695360608833611,
        4.695380431100069,
        4.6954002533665244,
        4.695420075632982,
        4.695439897899438,
        4.6954597201658945,
        4.695479542432351,
        4.695499364698807,
        4.695519186965265,
        4.695539009231721,
        4.695558831498178,
        4.695578653764634,
        4.6955984760310905,
        4.695618298297547,
        4.695638120564004,
        4.69565794283046,
        4.695677765096917,
        4.695697587363373,
        4.69571740962983,
        4.6957372318962864,
        4.695757054162743,
        4.6957768764292,
        4.695796698695656,
        4.695816520962112,
        4.69583634322857,
        4.695856165495025,
        4.695875987761482,
        4.695895810027938,
        4.695915632294396,
        4.695935454560851,
        4.695955276827308,
        4.695975099093765,
        4.695994921360221,
        4.6960147436266775,
        4.696034565893134,
        4.696054388159592,
        4.696074210426048,
        4.696094032692504,
        4.696113854958961,
        4.696133677225418,
        4.696153499491873,
        4.696173321758331,
        4.696193144024787,
        4.6962129662912435,
        4.696232788557699,
        4.696252610824157,
        4.696272433090614,
        4.696292255357069,
        4.696312077623526,
        4.696331899889983,
        4.696351722156439,
        4.696371544422896,
        4.696391366689352,
        4.69641118895581,
        4.6964310112222645,
        4.696450833488722,
        4.696470655755179,
        4.696490478021635,
        4.696510300288091,
        4.696530122554548,
        4.696549944821005,
        4.69656976708746,
        4.696589589353917,
        4.696609411620375,
        4.696629233886831,
        4.696649056153287,
        4.696668878419744,
        4.696688700686201,
        4.696708522952657,
        4.696728345219113,
        4.696748167485571,
        4.6967679897520265,
        4.696787812018483,
        4.69680763428494,
        4.6968274565513966,
        4.696847278817853,
        4.696867101084309,
        4.696886923350766,
        4.696906745617223,
        4.696926567883678,
        4.696946390150136,
        4.696966212416592,
        4.696986034683049,
        4.697005856949505,
        4.697025679215962,
        4.697045501482418,
        4.697065323748874,
        4.697085146015331,
        4.6971049682817885,
        4.697124790548244,
        4.697144612814701,
        4.697164435081157,
        4.697184257347614,
        4.697204079614071,
        4.697223901880527,
        4.697243724146984,
        4.69726354641344,
        4.697283368679897,
        4.697303190946353,
        4.69732301321281,
        4.697342835479267,
        4.697362657745723,
        4.6973824800121795,
        4.697402302278636,
        4.697422124545092,
        4.69744194681155,
        4.697461769078005,
        4.697481591344463,
        4.697501413610918,
        4.6975212358773755,
        4.697541058143832,
        4.697560880410289,
        4.697580702676745,
        4.697600524943201,
        4.697620347209658,
        4.697640169476115,
        4.6976599917425705,
        4.697679814009028,
        4.697699636275484,
        4.697719458541941,
        4.697739280808396,
        4.697759103074854,
        4.697778925341311,
        4.6977987476077665,
        4.697818569874224,
        4.69783839214068,
        4.697858214407137,
        4.697878036673593,
        4.69789785894005,
        4.697917681206507,
        4.6979375034729625,
        4.697957325739419,
        4.697977148005877,
        4.697996970272332,
        4.698016792538789,
        4.698036614805245,
        4.698056437071703,
        4.698076259338158,
        4.698096081604615,
        4.698115903871072,
        4.698135726137528,
        4.698155548403984,
        4.698175370670442,
        4.698195192936898,
        4.698215015203354,
        4.69823483746981,
        4.698254659736268,
        4.6982744820027245,
        4.69829430426918,
        4.698314126535637,
        4.698333948802094,
        4.69835377106855,
        4.698373593335006,
        4.698393415601464,
        4.69841323786792,
        4.698433060134376,
        4.698452882400833,
        4.69847270466729,
        4.698492526933745,
        4.698512349200203,
        4.698532171466659,
        4.698551993733116,
        4.698571815999571,
        4.698591638266029,
        4.698611460532486,
        4.698631282798942,
        4.698651105065398,
        4.698670927331855,
        4.6986907495983115,
        4.698710571864768,
        4.698730394131224,
        4.6987502163976815,
        4.698770038664137,
        4.698789860930594,
        4.698809683197051,
        4.698829505463507,
        4.698849327729963,
        4.69886914999642,
        4.698888972262877,
        4.698908794529334,
        4.69892861679579,
        4.698948439062247,
        4.698968261328703,
        4.69898808359516,
        4.699007905861616,
        4.699027728128073,
        4.69904755039453,
        4.699067372660985,
        4.699087194927443,
        4.6991070171938985,
        4.699126839460356,
        4.699146661726812,
        4.6991664839932685,
        4.699186306259725,
        4.699206128526181,
        4.699225950792638,
        4.699245773059095,
        4.699265595325551,
        4.699285417592008,
        4.699305239858464,
        4.699325062124921,
        4.699344884391378,
        4.699364706657834,
        4.69938452892429,
        4.699404351190747,
        4.699424173457203,
        4.6994439957236604,
        4.699463817990116,
        4.699483640256574,
        4.69950346252303,
        4.699523284789486,
        4.699543107055943,
        4.699562929322399,
        4.699582751588856,
        4.699602573855312,
        4.69962239612177,
        4.699642218388225,
        4.699662040654682,
        4.699681862921139,
        4.699701685187596,
        4.6997215074540515,
        4.699741329720508,
        4.699761151986965,
        4.699780974253422,
        4.699800796519877,
        4.699820618786335,
        4.699840441052791,
        4.6998602633192474,
        4.699880085585704,
        4.699899907852161,
        4.699919730118617,
        4.699939552385073,
        4.69995937465153,
        4.699979196917988,
        4.6999990191844425,
        4.7000188414509,
        4.700038663717356,
        4.700058485983813,
        4.700078308250269,
        4.700098130516726,
        4.700276530914834,
        4.700296353181291,
        4.700316175447749,
        4.7003359977142045,
        4.700355819980661,
        4.700375642247117,
        4.700395464513575,
        4.700415286780031,
        4.700435109046487,
        4.700454931312944,
        4.7004747535794005,
        4.700494575845856,
        4.700514398112314,
        4.70053422037877,
        4.700554042645227,
        4.700573864911682,
        4.70059368717814,
        4.700613509444596,
        4.700633331711052,
        4.70065315397751,
        4.700672976243966,
        4.700692798510423,
        4.700712620776878,
        4.700732443043336,
        4.700752265309792,
        4.700772087576248,
        4.700791909842705,
        4.700811732109162,
        4.700831554375618,
        4.700851376642075,
        4.700871198908531,
        4.700891021174988,
        4.700910843441444,
        4.700930665707901,
        4.7009504879743576,
        4.700970310240814,
        4.70099013250727,
        4.701009954773727,
        4.701029777040183,
        4.701049599306641,
        4.701069421573096,
        4.7010892438395535,
        4.701109066106009,
        4.701128888372467,
        4.701148710638923,
        4.701168532905379,
        4.701188355171837,
        4.701208177438292,
        4.7012279997047495,
        4.701247821971206,
        4.701267644237663,
        4.701287466504119,
        4.701307288770575,
        4.701327111037032,
        4.701346933303488,
        4.7013667555699445,
        4.701386577836402,
        4.701406400102858,
        4.701426222369315,
        4.70144604463577,
        4.701465866902228,
        4.701485689168684,
        4.7015055114351405,
        4.701525333701597,
        4.701545155968054,
        4.70156497823451,
        4.701584800500967,
        4.701604622767423,
        4.701624445033881,
        4.701644267300336,
        4.701664089566793,
        4.70168391183325,
        4.701703734099706,
        4.701723556366162,
        4.701743378632619,
        4.701763200899077,
        4.701783023165532,
        4.701802845431989,
        4.701822667698446,
        4.701842489964902,
        4.701862312231358,
        4.701882134497815,
        4.701901956764272,
        4.701921779030728,
        4.701941601297184,
        4.701961423563642,
        4.701981245830098,
        4.702001068096554,
        4.702020890363011,
        4.702040712629468,
        4.7020605348959235,
        4.70208035716238,
        4.702100179428837,
        4.702120001695294,
        4.702139823961749,
        4.702159646228207,
        4.702179468494663,
        4.702199290761119,
        4.702219113027576,
        4.702238935294033,
        4.7022587575604895,
        4.702278579826945,
        4.702298402093402,
        4.70231822435986,
        4.702338046626316,
        4.702357868892772,
        4.702377691159229,
        4.702575913823794,
        4.702595736090251,
        4.702615558356707,
        4.702635380623163,
        4.702655202889621,
        4.7026750251560765,
        4.702694847422534,
        4.702714669688989,
        4.702734491955447,
        4.702754314221903,
        4.702774136488359,
        4.702793958754816,
        4.7028137810212725,
        4.702833603287729,
        4.702853425554186,
        4.702873247820642,
        4.702893070087099,
        4.702912892353555,
        4.702932714620012,
        4.702952536886469,
        4.702972359152925,
        4.702992181419382,
        4.703012003685838,
        4.703031825952295,
        4.703051648218752,
        4.703071470485208,
        4.703091292751664,
        4.703111115018121,
        4.703130937284577,
        4.703150759551034,
        4.70317058181749,
        4.703190404083948,
        4.703210226350403,
        4.70323004861686,
        4.703249870883316,
        4.703269693149773,
        4.7032895154162295,
        4.703309337682686,
        4.703329159949143,
        4.703348982215599,
        4.703368804482055,
        4.703388626748513,
        4.703408449014969,
        4.7034282712814255,
        4.703448093547881,
        4.703467915814339,
        4.703487738080796,
        4.703507560347251,
        4.703527382613709,
        4.703547204880165,
        4.7035670271466214,
        4.703586849413078,
        4.703606671679535,
        4.703626493945991,
        4.703646316212447,
        4.703666138478904,
        4.703685960745361,
        4.7037057830118165,
        4.703725605278274,
        4.70374542754473,
        4.7037652498111875,
        4.703785072077642,
        4.7038048943441,
        4.703824716610557,
        4.7038445388770125,
        4.703864361143469,
        4.703884183409926,
        4.703904005676383,
        4.703923827942839,
        4.703943650209295,
        4.703963472475753,
        4.7039832947422076,
        4.704003117008665,
        4.704022939275122,
        4.7040427615415785,
        4.704062583808035,
        4.704082406074491,
        4.704102228340949,
        4.704122050607405,
        4.704141872873861,
        4.704161695140318,
        4.7041815174067745,
        4.70420133967323,
        4.704221161939688,
        4.704240984206144,
        4.704260806472601,
        4.704280628739056,
        4.704300451005514,
        4.7043202732719696,
        4.704340095538426,
        4.704359917804883,
        4.70437974007134,
        4.704399562337796,
        4.704419384604252,
        4.704439206870709,
        4.704459029137166,
        4.704478851403622,
        4.704498673670079,
        4.704518495936535,
        4.704538318202992,
        4.704558140469448,
        4.704577962735905,
        4.7045977850023615,
        4.704617607268818,
        4.704637429535275,
        4.7046572518017316,
        4.704677074068188,
        4.704696896334644,
        4.704716718601101,
        4.704736540867557,
        4.704756363134015,
        4.70477618540047,
        4.7047960076669275,
        4.704815829933383,
        4.704835652199841,
        4.704855474466296,
        4.704875296732753,
        4.70489511899921,
        4.704914941265666,
        4.704934763532123,
        4.704954585798579,
        4.704974408065036,
        4.704994230331493,
        4.7050140525979485,
        4.705033874864406,
        4.705053697130861,
        4.7050735193973185,
        4.705093341663775,
        4.705113163930232,
        4.705132986196688,
        4.705152808463144,
        4.705172630729601,
        4.705192452996059,
        4.7052122752625145,
        4.705232097528971,
        4.705251919795428,
        4.705271742061884,
        4.705291564328341,
        4.705311386594797,
        4.705331208861255,
        4.70535103112771,
        4.705370853394167,
        4.705390675660624,
        4.70541049792708,
        4.705430320193536,
        4.705450142459993,
        4.70546996472645,
        4.7054897869929055,
        4.705509609259362,
        4.70552943152582,
        4.705549253792276,
        4.705569076058732,
        4.705588898325188,
        4.705608720591646,
        4.7056285428581015,
        4.705648365124558,
        4.705668187391015,
        4.705688009657472,
        4.705707831923927,
        4.705727654190385,
        4.705747476456841,
        4.7057672987232975,
        4.705787120989754,
        4.705806943256211,
        4.705826765522668,
        4.705846587789123,
        4.705866410055581,
        4.705886232322037,
        4.705906054588494,
        4.70592587685495,
        4.705945699121407,
        4.7059655213878635,
        4.705985343654319,
        4.706005165920776,
        4.706024988187234,
        4.706044810453689,
        4.706064632720146,
        4.706084454986602,
        4.7061042772530595,
        4.706124099519514,
        4.706143921785972,
        4.706163744052429,
        4.706183566318885,
        4.706203388585341,
        4.706223210851798,
        4.7062430331182545,
        4.706262855384712,
        4.706282677651167,
        4.706302499917625,
        4.70632232218408,
        4.706342144450537,
        4.706361966716995,
        4.7063817889834505,
        4.706401611249908,
        4.706421433516363,
        4.706441255782821,
        4.706461078049277,
        4.706480900315733,
        4.70650072258219,
        4.7065205448486465,
        4.706540367115103,
        4.70656018938156,
        4.706580011648016,
        4.706599833914473,
        4.706619656180929,
        4.706639478447386,
        4.7066593007138415,
        4.706679122980299,
        4.706698945246755,
        4.706718767513212,
        4.706738589779668,
        4.706758412046125,
        4.706778234312581,
        4.706798056579038,
        4.706817878845494,
        4.706837701111951,
        4.706857523378407,
        4.706877345644864,
        4.706897167911322,
        4.706916990177777,
        4.706936812444234,
        4.70695663471069,
        4.706976456977148,
        4.7069962792436035,
        4.70701610151006,
        4.707035923776517,
        4.707055746042973,
        4.707075568309429,
        4.707095390575887,
        4.707115212842343,
        4.7071350351087995,
        4.707154857375255,
        4.707174679641713,
        4.707194501908168,
        4.707214324174625,
        4.707234146441082,
        4.707253968707539,
        4.707273790973995,
        4.707293613240451,
        4.707313435506908,
        4.7073332577733655,
        4.7073530800398204,
        4.707372902306278,
        4.707392724572734,
        4.7074125468391905,
        4.707432369105647,
        4.707452191372104,
        4.7074720136385615,
        4.707491835905016,
        4.707511658171474,
        4.707531480437931,
        4.7075513027043865,
        4.707571124970843,
        4.7075909472373,
        4.707610769503757,
        4.707630591770213,
        4.707650414036669,
        4.707670236303127,
        4.7076900585695824,
        4.707709880836039,
        4.707729703102496,
        4.7077495253689525,
        4.707769347635408,
        4.707789169901865,
        4.707808992168322,
        4.707828814434779,
        4.707848636701234,
        4.707868458967692,
        4.707888281234148,
        4.707908103500604,
        4.70792792576706,
        4.707947748033518,
        4.707967570299974,
        4.70798739256643,
        4.708007214832887,
        4.708027037099344,
        4.708046859365801,
        4.708066681632257,
        4.708086503898714,
        4.70810632616517,
        4.708126148431626,
        4.708145970698083,
        4.70816579296454,
        4.708185615230996,
        4.708205437497453,
        4.708225259763909,
        4.708245082030366,
        4.708264904296822,
        4.708284726563279,
        4.7083045488297355,
        4.708324371096192,
        4.708344193362648,
        4.708364015629106,
        4.708383837895561,
        4.708403660162019,
        4.708423482428474,
        4.708443304694931,
        4.708463126961387,
        4.708482949227844,
        4.708502771494301,
        4.708522593760757,
        4.708542416027214,
        4.70856223829367,
        4.7085820605601265,
        4.708601882826584,
        4.70862170509304,
        4.708641527359497,
        4.708661349625953,
        4.70868117189241,
        4.708700994158867,
        4.7087208164253225,
        4.70874063869178,
        4.708760460958236,
        4.7087802832246926,
        4.708800105491149,
        4.708819927757606,
        4.708839750024062,
        4.708859572290518,
        4.708879394556975,
        4.708899216823433,
        4.709097439487997,
        4.709117261754454,
        4.70913708402091,
        4.709156906287366,
        4.709176728553824,
        4.7091965508202795,
        4.709216373086736,
        4.709236195353194,
        4.70925601761965,
        4.709275839886106,
        4.709295662152562,
        4.70931548441902,
        4.7093353066854755,
        4.709355128951932,
        4.709374951218389,
        4.709394773484846,
        4.709414595751301,
        4.709434418017759,
        4.709454240284215,
        4.709474062550672,
        4.709493884817127,
        4.709513707083585,
        4.7095335293500415,
        4.709553351616497,
        4.709573173882954,
        4.709592996149411,
        4.709612818415867,
        4.709632640682323,
        4.70965246294878,
        4.7096722852152375,
        4.709692107481692,
        4.70971192974815,
        4.709731752014606,
        4.709751574281063,
        4.70977139654752,
        4.709791218813976,
        4.7098110410804335,
        4.709830863346889,
        4.709850685613346,
        4.709870507879803,
        4.709890330146259,
        4.709910152412715,
        4.709929974679172,
        4.7099497969456285,
        4.709969619212086,
        4.709989441478541,
        4.710009263744999,
        4.710029086011454,
        4.710048908277911,
        4.710068730544368,
        4.7100885528108245,
        4.710108375077281,
        4.710128197343737,
        4.710148019610194,
        4.710167841876651,
        4.710187664143107,
        4.710207486409564,
        4.71022730867602,
        4.710247130942477,
        4.710266953208932,
        4.71028677547539,
        4.710306597741846,
        4.710326420008303,
        4.71034624227476,
        4.7103660645412155,
        4.710385886807673,
        4.710405709074129,
        4.710425531340586,
        4.710445353607042,
        4.710465175873499,
        4.710484998139955,
        4.710504820406412,
        4.710524642672868,
        4.710544464939326,
        4.710564287205781,
        4.710584109472238,
        4.710603931738695,
        4.710623754005151,
        4.7106435762716075,
        4.710663398538064,
        4.710683220804521,
        4.7107030430709775,
        4.710722865337433,
        4.710742687603891,
        4.710762509870346,
        4.710782332136803,
        4.710802154403259,
        4.710821976669717,
        4.710841798936173,
        4.710861621202629,
        4.710881443469086,
        4.710901265735543,
        4.710921088001999,
        4.710940910268456,
        4.710960732534913,
        4.710980554801369,
        4.711000377067825,
        4.711020199334282,
        4.7110400216007395,
        4.7110598438671945,
        4.711079666133652,
        4.711099488400108,
        4.7111193106665645,
        4.711139132933021,
        4.711158955199478,
        4.711178777465935,
        4.71119859973239,
        4.711218421998847,
        4.711238244265305,
        4.7112580665317605,
        4.711277888798217,
        4.711297711064673,
        4.711317533331131,
        4.711337355597586,
        4.711357177864043,
        4.7113770001305,
        4.7113968223969565,
        4.711416644663412,
        4.711436466929869,
        4.711456289196326,
        4.711476111462782,
        4.711495933729239,
        4.711515755995696,
        4.711535578262152,
        4.711555400528608,
        4.711575222795066,
        4.711595045061522,
        4.711614867327979,
        4.711634689594434,
        4.711654511860892,
        4.711674334127348,
        4.711694156393804,
        4.711713978660261,
        4.711733800926718,
        4.711753623193174,
        4.711773445459631,
        4.711793267726087,
        4.711813089992544,
        4.711832912258999,
        4.711852734525457,
        4.7118725567919135,
        4.71189237905837,
        4.711912201324826,
        4.711932023591283,
        4.711951845857739,
        4.711971668124195,
        4.711991490390652,
        4.7120113126571095,
        4.712031134923566,
        4.712050957190022,
        4.712070779456479,
        4.712090601722935,
        4.712110423989393,
        4.712130246255848,
        4.7121500685223054,
        4.712169890788761,
        4.712189713055218,
        4.712209535321675,
        4.712229357588131,
        4.712249179854588,
        4.712269002121044,
        4.7122888243875005,
        4.712308646653958,
        4.712328468920414,
        4.712348291186871,
        4.712368113453326,
        4.712387935719784,
        4.71240775798624,
        4.7124275802526965,
        4.712447402519153,
        4.71246722478561,
        4.712487047052066,
        4.712506869318523,
        4.712526691584979,
        4.712546513851436,
        4.7125663361178916,
        4.712586158384349,
        4.712605980650806,
        4.712625802917262,
        4.712645625183719,
        4.712665447450175,
        4.712685269716633,
        4.7127050919830875,
        4.712724914249545,
        4.712744736516002,
        4.712764558782458,
        4.712784381048914,
        4.712804203315371,
        4.712824025581828,
        4.712843847848284,
        4.71286367011474,
        4.712883492381198,
        4.712903314647653,
        4.71292313691411,
        4.712942959180567,
        4.712962781447024,
        4.712982603713479,
        4.713002425979936,
        4.713022248246393,
        4.71304207051285,
        4.713061892779305,
        4.713081715045763,
        4.713101537312219,
        4.713121359578675,
        4.713141181845132,
        4.713161004111589,
        4.713180826378046,
        4.713200648644501,
        4.713220470910959,
        4.713240293177415,
        4.713260115443871,
        4.713279937710328,
        4.713299759976785,
        4.713319582243241,
        4.713339404509697,
        4.713359226776154,
        4.7133790490426115,
        4.713398871309067,
        4.713418693575524,
        4.71343851584198,
        4.713458338108437,
        4.713478160374893,
        4.71349798264135,
        4.713517804907807,
        4.713537627174263,
        4.713557449440719,
        4.713577271707177,
        4.7135970939736325,
        4.713616916240089,
        4.713636738506545,
        4.7136565607730025,
        4.713676383039459,
        4.713696205305915,
        4.713716027572372,
        4.713735849838828,
        4.713755672105286,
        4.713775494371741,
        4.7137953166381985,
        4.713815138904655,
        4.713834961171111,
        4.713854783437568,
        4.713874605704024,
        4.713894427970481,
        4.713914250236938,
        4.713934072503394,
        4.713953894769851,
        4.713973717036306,
        4.713993539302764,
        4.71401336156922,
        4.714033183835677,
        4.714053006102133,
        4.7140728283685895,
        4.714092650635046,
        4.714112472901503,
        4.714132295167959,
        4.714152117434416,
        4.714171939700872,
        4.714191761967329,
        4.7142115842337855,
        4.714231406500242,
        4.714251228766699,
        4.714271051033155,
        4.714290873299611,
        4.714310695566069,
        4.714330517832525,
        4.7143503400989815,
        4.714370162365438,
        4.714389984631895,
        4.714409806898351,
        4.714429629164807,
        4.714449451431265,
        4.714469273697721,
        4.714489095964177,
        4.714508918230633,
        4.714528740497091,
        4.714548562763547,
        4.714568385030003,
        4.71458820729646,
        4.714608029562917,
        4.7146278518293725,
        4.71464767409583,
        4.714667496362286,
        4.714687318628743,
        4.714707140895198,
        4.714726963161656,
        4.714746785428113,
        4.7147666076945685,
        4.714945008092679,
        4.7149648303591345,
        4.714984652625591,
        4.715004474892047,
        4.715024297158505,
        4.7150441194249595,
        4.715063941691417,
        4.715083763957874,
        4.7151035862243305,
        4.715123408490786,
        4.715143230757243,
        4.7151630530237,
        4.715182875290157,
        4.715202697556612,
        4.71522251982307,
        4.7152423420895255,
        4.715262164355982,
        4.715281986622439,
        4.715301808888896,
        4.715321631155352,
        4.715341453421808,
        4.715361275688265,
        4.715381097954722,
        4.715400920221177,
        4.715420742487635,
        4.715440564754091,
        4.715460387020548,
        4.715480209287005,
        4.715500031553461,
        4.715519853819918,
        4.715539676086373,
        4.715559498352831,
        4.715579320619287,
        4.715599142885744,
        4.7156189651522,
        4.715638787418657,
        4.715658609685113,
        4.71567843195157,
        4.715698254218026,
        4.7157180764844835,
        4.715737898750939,
        4.715757721017396,
        4.715777543283852,
        4.715797365550309,
        4.715817187816766,
        4.715837010083222,
        4.715856832349679,
        4.715876654616135,
        4.715896476882592,
        4.715916299149049,
        4.7159361214155044,
        4.715955943681962,
        4.715975765948417,
        4.7159955882148745,
        4.716015410481331,
        4.716035232747788,
        4.716055055014245,
        4.7160748772807,
        4.716094699547158,
        4.716114521813613,
        4.7161343440800705,
        4.716154166346527,
        4.716173988612984,
        4.71619381087944,
        4.716213633145896,
        4.716233455412353,
        4.71625327767881,
        4.716273099945266,
        4.716292922211723,
        4.716312744478179,
        4.716332566744636,
        4.716352389011092,
        4.716372211277549,
        4.716392033544006,
        4.7164118558104615,
        4.716431678076918,
        4.716451500343376,
        4.716471322609831,
        4.716491144876288,
        4.716510967142744,
        4.716530789409202,
        4.7165506116756575,
        4.716570433942114,
        4.716590256208571,
        4.716610078475028,
        4.716629900741484,
        4.716649723007941,
        4.716669545274398,
        4.716689367540853,
        4.71670918980731,
        4.716729012073767,
        4.716748834340224,
        4.716768656606679,
        4.716788478873137,
        4.716808301139593,
        4.716828123406049,
        4.716847945672505,
        4.716867767938963,
        4.7168875902054195,
        4.716907412471875,
        4.716927234738332,
        4.716947057004789,
        4.7169668792712445,
        4.716986701537702,
        4.717006523804158,
        4.717026346070615,
        4.717244391001637,
        4.717264213268093,
        4.717284035534551,
        4.7173038578010065,
        4.717323680067463,
        4.717343502333919,
        4.7173633246003766,
        4.717383146866832,
        4.717402969133289,
        4.717422791399746,
        4.717442613666202,
        4.717462435932659,
        4.717482258199115,
        4.717502080465572,
        4.717521902732029,
        4.717541724998484,
        4.717561547264942,
        4.7175813695313975,
        4.717601191797855,
        4.717621014064311,
        4.717640836330768,
        4.717660658597224,
        4.71768048086368,
        4.717700303130137,
        4.717720125396594,
        4.717739947663051,
        4.717759769929507,
        4.7177795921959635,
        4.71779941446242,
        4.717819236728878,
        4.718037281659898,
        4.7180571039263555,
        4.718076926192811,
        4.718096748459269,
        4.718116570725724,
        4.718136392992181,
        4.718156215258638,
        4.718176037525095,
        4.7181958597915505,
        4.718215682058007,
        4.718235504324464,
        4.718255326590921,
        4.718275148857376,
        4.718294971123834,
        4.718314793390291,
        4.7183346156567465,
        4.718354437923204,
        4.71837426018966,
        4.718394082456117,
        4.718413904722572,
        4.71843372698903,
        4.718453549255487,
        4.7184733715219425,
        4.718493193788399,
        4.718513016054856,
        4.7185328383213125,
        4.718552660587768,
        4.718572482854225,
        4.718592305120683,
        4.7186121273871375,
        4.718631949653595,
        4.718651771920051,
        4.7186715941865085,
        4.718691416452964,
        4.718711238719421,
        4.718731060985878,
        4.7187508832523335,
        4.71877070551879,
        4.718790527785248,
        4.718810350051704,
        4.71883017231816,
        4.718849994584616,
        4.718869816851074,
        4.718889639117531,
        4.718909461383986,
        4.718929283650444,
        4.7189491059168995,
        4.718968928183356,
        4.718988750449813,
        4.71900857271627,
        4.719028394982726,
        4.719048217249182,
        4.719068039515639,
        4.719087861782096,
        4.719107684048551,
        4.719127506315009,
        4.719147328581465,
        4.719167150847922,
        4.719186973114377,
        4.719206795380835,
        4.7192266176472915,
        4.719246439913748,
        4.719266262180204,
        4.719286084446661,
        4.719305906713117,
        4.719325728979574,
        4.71934555124603,
        4.719365373512487,
        4.719385195778943,
        4.7194050180454,
        4.719424840311857,
        4.719444662578313,
        4.71946448484477,
        4.719484307111226,
        4.719504129377683,
        4.7196428852428784,
        4.719662707509336,
        4.719682529775791,
        4.7197023520422485,
        4.719722174308704,
        4.719741996575162,
        4.719761818841618,
        4.719781641108074,
        4.719801463374531,
        4.719821285640987,
        4.719841107907444,
        4.719860930173901,
        4.719880752440357,
        4.719900574706814,
        4.7199203969732695,
        4.719940219239727,
        4.719960041506184,
        4.71997986377264,
        4.719999686039096,
        4.720019508305553,
        4.72003933057201,
        4.720059152838466,
        4.720078975104923,
        4.72009879737138,
        4.7201186196378355,
        4.720138441904292,
        4.72015826417075,
        4.720178086437205,
        4.720197908703662,
        4.720217730970118,
        4.720237553236576,
        4.7202573755030315,
        4.720277197769488,
        4.720297020035945,
        4.720316842302402,
        4.720336664568857,
        4.720356486835314,
        4.720376309101771,
        4.720396131368227,
        4.720415953634683,
        4.720435775901141,
        4.720455598167597,
        4.720475420434053,
        4.72049524270051,
        4.720515064966967,
        4.7205348872334225,
        4.720554709499879,
        4.720574531766336,
        4.7205943540327935,
        4.720614176299249,
        4.720633998565706,
        4.720653820832163,
        4.720673643098619,
        4.720693465365076,
        4.720713287631532,
        4.720733109897989,
        4.720752932164444,
        4.720772754430902,
        4.720792576697359,
        4.720812398963815,
        4.720832221230271,
        4.720852043496728,
        4.7208718657631845,
        4.72089168802964,
        4.720911510296097,
        4.720931332562555,
        4.72095115482901,
        4.720970977095467,
        4.720990799361923,
        4.7210106216283805,
        4.721030443894837,
        4.721050266161293,
        4.72107008842775,
        4.721089910694206,
        4.721109732960662,
        4.72112955522712,
        4.7211493774935755,
        4.721169199760033,
        4.721189022026489,
        4.721208844292946,
        4.721228666559403,
        4.721248488825858,
        4.721268311092316,
        4.7212881333587715,
        4.721307955625229,
        4.721327777891685,
        4.721347600158142,
        4.721367422424598,
        4.721387244691055,
        4.721407066957511,
        4.721426889223968,
        4.721446711490424,
        4.721466533756881,
        4.721486356023337,
        4.721506178289794,
        4.72152600055625,
        4.721545822822707,
        4.721565645089163,
        4.72158546735562,
        4.721605289622076,
        4.721625111888533,
        4.721644934154989,
        4.721664756421447,
        4.721684578687902,
        4.721704400954359,
        4.721724223220815,
        4.721744045487273,
        4.7217638677537295,
        4.721783690020185,
        4.721803512286643,
        4.721823334553098,
        4.721843156819555,
        4.721862979086012,
        4.721882801352469,
        4.7219026236189245,
        4.721922445885381,
        4.721942268151838,
        4.721962090418295,
        4.72198191268475,
        4.722001734951208,
        4.722021557217664,
        4.7220413794841205,
        4.722061201750577,
        4.722081024017034,
        4.722100846283491,
        4.722120668549946,
        4.722140490816403,
        4.72216031308286,
        4.722180135349316,
        4.722199957615773,
        4.722219779882229,
        4.7222396021486865,
        4.7222594244151415,
        4.722279246681599,
        4.722299068948057,
        4.7223188912145115,
        4.722338713480969,
        4.722358535747425,
        4.7223783580138825,
        4.722398180280338,
        4.722418002546795,
        4.722437824813252,
        4.722457647079708,
        4.722477469346164,
        4.722497291612622,
        4.722517113879078,
        4.722536936145534,
        4.72255675841199,
        4.722576580678448,
        4.722596402944904,
        4.72261622521136,
        4.722636047477817,
        4.7226558697442735,
        4.722675692010729,
        4.722695514277186,
        4.722715336543643,
        4.7227351588101,
        4.722754981076555,
        4.722774803343013,
        4.722794625609469,
        4.722814447875926,
        4.722834270142382,
        4.722854092408839,
        4.722873914675296,
        4.722893736941751,
        4.722913559208209,
        4.7229333814746655,
        4.722953203741122,
        4.722973026007578,
        4.722992848274035,
        4.723012670540491,
        4.723032492806948,
        4.723052315073404,
        4.723072137339861,
        4.723091959606317,
        4.723111781872774,
        4.723131604139231,
        4.723151426405687,
        4.723171248672144,
        4.7231910709386,
        4.7232108932050565,
        4.723230715471514,
        4.723250537737969,
        4.723270360004427,
        4.723290182270882,
        4.72331000453734,
        4.723329826803795,
        4.7233496490702525,
        4.723369471336709,
        4.723389293603165,
        4.723409115869622,
        4.723428938136078,
        4.723448760402536,
        4.723468582668992,
        4.723488404935448,
        4.723508227201905,
        4.723528049468362,
        4.723547871734818,
        4.723567694001275,
        4.723587516267731,
        4.723607338534188,
        4.7236271608006435,
        4.723646983067101,
        4.723666805333558,
        4.723686627600014,
        4.72370644986647,
        4.723726272132927,
        4.723746094399383,
        4.72376591666584,
        4.723785738932296,
        4.723805561198754,
        4.723825383465209,
        4.723845205731666,
        4.723865027998123,
        4.72388485026458,
        4.723904672531035,
        4.723924494797492,
        4.723944317063949,
        4.723964139330405,
        4.723983961596861,
        4.724003783863319,
        4.724023606129776,
        4.724043428396231,
        4.724063250662688,
        4.724083072929145,
        4.7241028951956014,
        4.724122717462057,
        4.724142539728515,
        4.724162361994971,
        4.724182184261427,
        4.724202006527884,
        4.724221828794341,
        4.724241651060797,
        4.724261473327253,
        4.72428129559371,
        4.7243011178601675,
        4.724320940126622,
        4.72434076239308,
        4.724360584659536,
        4.724380406925993,
        4.724400229192449,
        4.724420051458906,
        4.724439873725363,
        4.724459695991818,
        4.724479518258275,
        4.724499340524732,
        4.724519162791188,
        4.724538985057645,
        4.724558807324101,
        4.7245786295905585,
        4.724598451857015,
        4.724618274123471,
        4.724638096389929,
        4.724657918656384,
        4.724677740922841,
        4.724697563189297,
        4.7247173854557545,
        4.724737207722211,
        4.724757029988667,
        4.724776852255124,
        4.72479667452158,
        4.724816496788036,
        4.724836319054494,
        4.7248561413209496,
        4.724875963587407,
        4.724895785853862,
        4.72491560812032,
        4.724935430386776,
        4.724955252653233,
        4.725054363985515,
        4.725074186251972,
        4.725094008518428,
        4.725113830784885,
        4.725133653051341,
        4.725153475317798,
        4.725173297584255,
        4.725193119850711,
        4.725212942117168,
        4.725232764383624,
        4.725252586650081,
        4.725272408916537,
        4.725292231182994,
        4.725312053449451,
        4.725331875715907,
        4.725351697982363,
        4.725371520248821,
        4.725391342515276,
        4.725411164781733,
        4.725430987048189,
        4.725450809314647,
        4.725470631581103,
        4.725490453847559,
        4.725510276114016,
        4.725530098380472,
        4.7255499206469285,
        4.725569742913386,
        4.725589565179842,
        4.7256093874462985,
        4.725629209712754,
        4.725649031979212,
        4.725668854245669,
        4.725688676512124,
        4.725708498778581,
        4.725728321045038,
        4.7257481433114945,
        4.72576796557795,
        4.725787787844408,
        4.725807610110865,
        4.72582743237732,
        4.725847254643777,
        4.725867076910234,
        4.72588689917669,
        4.725906721443147,
        4.725926543709603,
        4.7259463659760605,
        4.7259661882425155,
        4.725986010508973,
        4.72600583277543,
        4.726025655041886,
        4.726045477308342,
        4.726065299574799,
        4.726085121841256,
        4.726104944107712,
        4.726124766374168,
        4.726144588640626,
        4.7261644109070815,
        4.726184233173538,
        4.726204055439995,
        4.726223877706452,
        4.726243699972907,
        4.726263522239364,
        4.726283344505821,
        4.7263031667722775,
        4.726322989038734,
        4.726342811305191,
        4.7263626335716475,
        4.726382455838104,
        4.72640227810456,
        4.726422100371017,
        4.726441922637474,
        4.726461744903929,
        4.726481567170387,
        4.726501389436843,
        4.7265212117033,
        4.726541033969756,
        4.726560856236213,
        4.726580678502669,
        4.726600500769125,
        4.726620323035582,
        4.7266401453020395,
        4.726659967568495,
        4.726679789834952,
        4.726699612101408,
        4.726719434367865,
        4.726739256634322,
        4.726759078900778,
        4.7267789011672345,
        4.726798723433691,
        4.726818545700147,
        4.726838367966604,
        4.72685819023306,
        4.726878012499518,
        4.726897834765974,
        4.727076235164083,
        4.72709605743054,
        4.727115879696996,
        4.727135701963452,
        4.727155524229909,
        4.727175346496366,
        4.7271951687628215,
        4.727214991029279,
        4.727234813295735,
        4.727254635562192,
        4.727274457828648,
        4.727294280095105,
        4.727314102361561,
        4.7273339246280175,
        4.727353746894474,
        4.727373569160932,
        4.727393391427387,
        4.727413213693844,
        4.727433035960301,
        4.727452858226757,
        4.7274726804932135,
        4.72749250275967,
        4.727512325026128,
        4.727532147292583,
        4.72755196955904,
        4.727571791825496,
        4.727591614091954,
        4.727611436358409,
        4.727631258624866,
        4.727651080891323,
        4.727670903157779,
        4.727690725424235,
        4.727710547690693,
        4.727730369957149,
        4.727750192223605,
        4.727770014490061,
        4.727789836756519,
        4.7278096590229755,
        4.727829481289431,
        4.727849303555888,
        4.727869125822345,
        4.7278889480888004,
        4.727908770355258,
        4.727928592621714,
        4.727948414888171,
        4.727968237154626,
        4.727988059421084,
        4.7280078816875415,
        4.728027703953996,
        4.728047526220454,
        4.72806734848691,
        4.728087170753367,
        4.728106993019822,
        4.72812681528628,
        4.728146637552737,
        4.728166459819192,
        4.728186282085649,
        4.728206104352106,
        4.728582727414781,
        4.728602549681236,
        4.728622371947694,
        4.728642194214149,
        4.728662016480607,
        4.728681838747063,
        4.7287016610135195,
        4.728721483279976,
        4.728741305546432,
        4.728761127812889,
        4.728780950079346,
        4.728800772345802,
        4.728820594612259,
        4.728840416878715,
        4.728860239145172,
        4.728880061411628,
        4.728899883678085,
        4.728919705944541,
        4.728939528210998,
        4.728959350477454,
        4.728979172743911,
        4.728998995010367,
        4.729018817276825,
        4.72903863954328,
        4.729058461809737,
        4.729078284076194,
        4.72909810634265,
        4.7291179286091065,
        4.729137750875563,
        4.729157573142021,
        4.729177395408477,
        4.729197217674933,
        4.72921703994139,
        4.729236862207847,
        4.7292566844743025,
        4.729276506740759,
        4.729296329007216,
        4.7293161512736726,
        4.729335973540128,
        4.729355795806586,
        4.729375618073042,
        4.729395440339498,
        4.729415262605955,
        4.729435084872412,
        4.729454907138868,
        4.729474729405324,
        4.729494551671781,
        4.729514373938239,
        4.7295341962046935,
        4.729554018471151,
        4.729573840737607,
        4.729593663004064,
        4.72961348527052,
        4.729633307536977,
        4.729653129803434,
        4.7296729520698895,
        4.729692774336346,
        4.729712596602804,
        4.72973241886926,
        4.729752241135716,
        4.729772063402173,
        4.72979188566863,
        4.729811707935085,
        4.729831530201542,
        4.729851352468,
        4.7298711747344555,
        4.729890997000912,
        4.729910819267368,
        4.729930641533826,
        4.729950463800282,
        4.729970286066738,
        4.729990108333195,
        4.7300099305996515,
        4.730029752866107,
        4.730049575132565,
        4.730069397399021,
        4.730089219665478,
        4.730109041931933,
        4.730128864198391,
        4.730148686464847,
        4.730168508731303,
        4.73018833099776,
        4.730208153264217,
        4.730227975530673,
        4.73024779779713,
        4.730267620063586,
        4.730287442330043,
        4.730307264596499,
        4.730327086862956,
        4.7303469091294135,
        4.730366731395869,
        4.730386553662326,
        4.730406375928782,
        4.730426198195239,
        4.730446020461695,
        4.730465842728152,
        4.7304856649946085,
        4.730505487261065,
        4.730525309527521,
        4.730545131793978,
        4.730564954060434,
        4.730584776326892,
        4.730604598593347,
        4.7306244208598045,
        4.73064424312626,
        4.730664065392717,
        4.730683887659174,
        4.73070370992563,
        4.730723532192087,
        4.730743354458543,
        4.730763176725,
        4.730782998991457,
        4.730802821257913,
        4.73082264352437,
        4.7308424657908255,
        4.730862288057283,
        4.73088211032374,
        4.7309019325901955,
        4.730921754856653,
        4.730941577123109,
        4.730961399389566,
        4.730981221656022,
        4.731001043922479,
        4.731020866188935,
        4.7310406884553915,
        4.731060510721848,
        4.731258733386413,
        4.73127855565287,
        4.731298377919327,
        4.731318200185783,
        4.731338022452239,
        4.731357844718697,
        4.731377666985152,
        4.731397489251609,
        4.731417311518066,
        4.731437133784523,
        4.731456956050979,
        4.731476778317435,
        4.731496600583893,
        4.7315164228503495,
        4.731536245116805,
        4.731556067383262,
        4.731575889649719,
        4.7315957119161745,
        4.731615534182631,
        4.731635356449088,
        4.731655178715545,
        4.731675000982,
        4.731694823248458,
        4.731714645514914,
        4.73173446778137,
        4.731754290047827,
        4.731774112314284,
        4.7317939345807405,
        4.731813756847196,
        4.731833579113653,
        4.731853401380111,
        4.731873223646566,
        4.731893045913023,
        4.731912868179479,
        4.7319326904459365,
        4.731952512712392,
        4.731972334978849,
        4.731992157245306,
        4.732011979511762,
        4.732031801778219,
        4.732051624044676,
        4.732071446311132,
        4.732091268577589,
        4.732111090844045,
        4.732130913110502,
        4.732150735376959,
        4.732170557643414,
        4.732190379909872,
        4.7322102021763275,
        4.732230024442785,
        4.73224984670924,
        4.732269668975698,
        4.732289491242154,
        4.73230931350861,
        4.732329135775067,
        4.7323489580415234,
        4.73236878030798,
        4.732388602574437,
        4.732408424840893,
        4.73242824710735,
        4.732448069373805,
        4.732467891640263,
        4.732487713906719,
        4.732507536173176,
        4.732527358439632,
        4.732547180706089,
        4.732567002972546,
        4.732586825239003,
        4.732606647505459,
        4.732626469771915,
        4.732646292038372,
        4.732666114304828,
        4.7326859365712854,
        4.732705758837741,
        4.732725581104199,
        4.732745403370654,
        4.732765225637111,
        4.732785047903568,
        4.732804870170024,
        4.7328246924364805,
        4.732844514702937,
        4.732864336969394,
        4.73288415923585,
        4.732903981502306,
        4.732923803768764,
        4.73294362603522,
        4.7329634483016765,
        4.732983270568132,
        4.73300309283459,
        4.733022915101046,
        4.733042737367502,
        4.733062559633959,
        4.733082381900416,
        4.7331022041668716,
        4.733122026433329,
        4.733141848699786,
        4.733161670966242,
        4.733181493232698,
        4.733201315499155,
        4.733221137765613,
        4.7332409600320675,
        4.733260782298525,
        4.733280604564981,
        4.7333004268314385,
        4.733320249097894,
        4.733340071364351,
        4.733359893630808,
        4.7333797158972635,
        4.73339953816372,
        4.733419360430177,
        4.7334391826966336,
        4.73345900496309,
        4.733478827229546,
        4.733498649496004,
        4.7335184717624585,
        4.733538294028916,
        4.733558116295373,
        4.7335779385618295,
        4.733597760828285,
        4.733617583094742,
        4.733637405361199,
        4.733657227627656,
        4.733677049894111,
        4.733696872160569,
        4.7337166944270255,
        4.733736516693481,
        4.733756338959939,
        4.733776161226395,
        4.733795983492852,
        4.733815805759307,
        4.733835628025765,
        4.733855450292221,
        4.733875272558677,
        4.733895094825134,
        4.733914917091591,
        4.733934739358047,
        4.733954561624503,
        4.73397438389096,
        4.733994206157417,
        4.734014028423873,
        4.73403385069033,
        4.734053672956786,
        4.734073495223243,
        4.734093317489699,
        4.734113139756156,
        4.7341329620226125,
        4.734152784289069,
        4.734172606555525,
        4.7341924288219825,
        4.734212251088438,
        4.734232073354895,
        4.734251895621351,
        4.734271717887808,
        4.734291540154266,
        4.734311362420721,
        4.7343311846871785,
        4.734351006953634,
        4.734370829220092,
        4.734390651486548,
        4.734410473753004,
        4.734430296019461,
        4.734450118285917,
        4.734469940552374,
        4.734489762818831,
        4.734509585085287,
        4.734529407351744,
        4.7345492296181995,
        4.734569051884657,
        4.734588874151112,
        4.7346086964175695,
        4.734628518684026,
        4.734648340950483,
        4.734668163216939,
        4.734687985483395,
        4.734707807749852,
        4.73472763001631,
        4.734747452282765,
        4.734767274549222,
        4.734787096815678,
        4.734806919082135,
        4.734826741348591,
        4.734846563615048,
        4.734866385881506,
        4.734886208147961,
        4.734906030414418,
        4.734925852680875,
        4.734945674947331,
        4.734965497213787,
        4.734985319480244,
        4.735005141746701,
        4.735024964013157,
        4.735044786279613,
        4.735064608546071,
        4.735084430812527,
        4.735104253078983,
        4.73512407534544,
        4.735143897611897,
        4.7351637198783525,
        4.735183542144809,
        4.735203364411266,
        4.735223186677723,
        4.735243008944178,
        4.735262831210636,
        4.735282653477092,
        4.7353024757435485,
        4.735322298010004,
        4.735342120276462,
        4.7353619425429185,
        4.735381764809374,
        4.735401587075831,
        4.735421409342288,
        4.735441231608745,
        4.735461053875201,
        4.735480876141658,
        4.7355006984081145,
        4.73552052067457,
        4.735540342941027,
        4.735560165207485,
        4.73557998747394,
        4.735599809740397,
        4.735619632006853,
        4.7356394542733105,
        4.735659276539766,
        4.735679098806223,
        4.73569892107268,
        4.735718743339136,
        4.735738565605592,
        4.735758387872049,
        4.7357782101385055,
        4.735798032404963,
        4.735817854671418,
        4.735837676937876,
        4.735857499204331,
        4.735877321470788,
        4.735897143737245,
        4.7359169660037015,
        4.735936788270158,
        4.735956610536614,
        4.735976432803071,
        4.735996255069528,
        4.736016077335984,
        4.73621430000055,
        4.736234122267006,
        4.736253944533463,
        4.736273766799919,
        4.736293589066377,
        4.736313411332832,
        4.736333233599289,
        4.736353055865745,
        4.736372878132202,
        4.736392700398658,
        4.736412522665115,
        4.736432344931572,
        4.736452167198028,
        4.7364719894644844,
        4.736491811730941,
        4.736511633997398,
        4.7365314562638545,
        4.73655127853031,
        4.736571100796768,
        4.736590923063224,
        4.73661074532968,
        4.736630567596138,
        4.736650389862594,
        4.7366702121290505,
        4.736690034395506,
        4.736709856661964,
        4.73672967892842,
        4.736749501194876,
        4.736769323461333,
        4.73678914572779,
        4.736808967994246,
        4.736828790260703,
        4.736848612527159,
        4.7368684347936165,
        4.736888257060071,
        4.736908079326529,
        4.736927901592986,
        4.7369477238594415,
        4.736967546125898,
        4.736987368392355,
        4.737007190658812,
        4.737027012925267,
        4.737046835191724,
        4.737066657458182,
        4.737086479724637,
        4.737106301991094,
        4.73712612425755,
        4.737145946524008,
        4.737165768790464,
        4.73718559105692,
        4.737205413323378,
        4.737225235589833,
        4.73724505785629,
        4.737264880122747,
        4.7372847023892035,
        4.737304524655659,
        4.737324346922116,
        4.737344169188573,
        4.73736399145503,
        4.737383813721485,
        4.737403635987943,
        4.737423458254399,
        4.737443280520855,
        4.737463102787312,
        4.737482925053769,
        4.737502747320225,
        4.737522569586681,
        4.737542391853138,
        4.7375622141195946,
        4.737582036386051,
        4.737601858652508,
        4.737621680918964,
        4.737641503185421,
        4.737661325451876,
        4.737681147718334,
        4.737700969984791,
        4.737720792251247,
        4.737740614517704,
        4.73776043678416,
        4.737780259050617,
        4.737800081317073,
        4.73781990358353,
        4.7378397258499865,
        4.737859548116443,
        4.737879370382899,
        4.7378991926493566,
        4.737919014915812,
        4.73793883718227,
        4.737958659448725,
        4.737978481715182,
        4.737998303981639,
        4.738018126248095,
        4.738037948514552,
        4.738057770781008,
        4.738077593047465,
        4.738097415313922,
        4.7381172375803775,
        4.738137059846835,
        4.73815688211329,
        4.738176704379748,
        4.738196526646203,
        4.738216348912661,
        4.738236171179117,
        4.7382559934455735,
        4.738275815712031,
        4.738295637978487,
        4.7383154602449435,
        4.7383352825114,
        4.738355104777857,
        4.738374927044313,
        4.738394749310769,
        4.738414571577226,
        4.738434393843684,
        4.738454216110139,
        4.738474038376596,
        4.738493860643052,
        4.738513682909509,
        4.738533505175965,
        4.738553327442422,
        4.738573149708879,
        4.738592971975335,
        4.738612794241791,
        4.738632616508249,
        4.738652438774705,
        4.738672261041161,
        4.738692083307617,
        4.738711905574075,
        4.73873172784053,
        4.738751550106987,
        4.738771372373444,
        4.738791194639901,
        4.738811016906356,
        4.738830839172813,
        4.738850661439271,
        4.7388704837057265,
        4.738890305972183,
        4.73891012823864,
        4.738929950505097,
        4.738949772771552,
        4.73896959503801,
        4.738989417304466,
        4.739009239570923,
        4.739029061837378,
        4.739048884103836,
        4.7390687063702925,
        4.739088528636748,
        4.739108350903205,
        4.739128173169662,
        4.739147995436118,
        4.739167817702575,
        4.739187639969031,
        4.7392074622354885,
        4.739227284501943,
        4.739247106768401,
        4.739266929034858,
        4.739286751301314,
        4.73930657356777,
        4.739326395834227,
        4.739346218100684,
        4.73936604036714,
        4.739385862633596,
        4.739405684900054,
        4.73942550716651,
        4.739445329432966,
        4.739465151699423,
        4.7394849739658795,
        4.739504796232337,
        4.739524618498792,
        4.73954444076525,
        4.739564263031705,
        4.739584085298162,
        4.739603907564619,
        4.7396237298310755,
        4.739643552097532,
        4.739663374363988,
        4.739683196630445,
        4.739703018896902,
        4.739722841163358,
        4.739742663429815,
        4.739762485696271,
        4.739782307962728,
        4.739802130229184,
        4.739821952495641,
        4.739841774762097,
        4.739861597028554,
        4.73988141929501,
        4.739901241561467,
        4.739921063827923,
        4.73994088609438,
        4.739960708360836,
        4.739980530627293,
        4.74000035289375,
        4.740020175160206,
        4.740039997426663,
        4.740059819693119,
        4.740079641959577,
        4.740099464226032,
        4.740119286492489,
        4.740139108758946,
        4.740158931025402,
        4.7401787532918584,
        4.740198575558315,
        4.740218397824772,
        4.7402382200912285,
        4.740258042357684,
        4.740277864624142,
        4.740297686890597,
        4.740317509157054,
        4.740337331423511,
        4.740357153689968,
        4.740376975956424,
        4.74039679822288,
        4.740416620489337,
        4.740436442755795,
        4.7404562650222495,
        4.740476087288707,
        4.740495909555163,
        4.74051573182162,
        4.740535554088075,
        4.740555376354533,
        4.7405751986209905,
        4.740595020887445,
        4.740614843153903,
        4.740634665420359,
        4.7406544876868155,
        4.740674309953272,
        4.740694132219729,
        4.740713954486186,
        4.740733776752641,
        4.740753599019098,
        4.740773421285556,
        4.740793243552011,
        4.740813065818468,
        4.740832888084924,
        4.740852710351382,
        4.740872532617837,
        4.740892354884294,
        4.740912177150751,
        4.740931999417207,
        4.740951821683663,
        4.740971643950121,
        4.740991466216577,
        4.741011288483033,
        4.741031110749489,
        4.741050933015947,
        4.741070755282403,
        4.741090577548859,
        4.741110399815316,
        4.741130222081773,
        4.74115004434823,
        4.741169866614685,
        4.741189688881143,
        4.741209511147599,
        4.741229333414055,
        4.741249155680512,
        4.7412689779469686,
        4.741288800213425,
        4.741308622479882,
        4.741328444746338,
        4.741348267012795,
        4.74136808927925,
        4.741387911545708,
        4.7414077338121645,
        4.741427556078621,
        4.741447378345077,
        4.741467200611534,
        4.74148702287799,
        4.741506845144447,
        4.741526667410903,
        4.7415464896773605,
        4.741566311943816,
        4.741586134210273,
        4.74160595647673,
        4.741625778743186,
        4.741645601009643,
        4.741665423276099,
        4.7416852455425555,
        4.741705067809013,
        4.741724890075469,
        4.741744712341926,
        4.741764534608382,
        4.741784356874839,
        4.741804179141295,
        4.7418240014077515,
        4.741843823674209,
        4.741863645940665,
        4.741883468207122,
        4.741903290473577,
        4.741923112740035,
        4.741942935006491,
        4.7419627572729475,
        4.741982579539404,
        4.742002401805861,
        4.742022224072317,
        4.742042046338774,
        4.74206186860523,
        4.742081690871687,
        4.7421015131381425,
        4.7421213354046,
        4.742141157671057,
        4.742160979937513,
        4.742180802203969,
        4.742200624470426,
        4.742220446736882,
        4.742240269003339,
        4.742260091269795,
        4.742279913536253,
        4.742299735802709,
        4.742319558069165,
        4.742339380335622,
        4.742359202602079,
        4.742379024868535,
        4.742398847134991,
        4.742418669401449,
        4.742438491667904,
        4.742458313934361,
        4.742478136200818,
        4.742497958467275,
        4.74251778073373,
        4.742676358865383,
        4.74269618113184,
        4.7427160033982965,
        4.742735825664752,
        4.742755647931209,
        4.7427754701976665,
        4.7427952924641215,
        4.742815114730579,
        4.742834936997036,
        4.742854759263492,
        4.742874581529948,
        4.742894403796405,
        4.7429142260628625,
        4.742934048329317,
        4.742953870595775,
        4.742973692862231,
        4.742993515128688,
        4.743013337395144,
        4.743033159661601,
        4.743052981928058,
        4.743072804194514,
        4.74309262646097,
        4.743112448727428,
        4.7431322709938835,
        4.74315209326034,
        4.743171915526796,
        4.7431917377932535,
        4.74321156005971,
        4.743231382326166,
        4.743251204592623,
        4.743271026859079,
        4.743290849125536,
        4.743310671391993,
        4.743330493658449,
        4.743350315924906,
        4.743370138191361,
        4.743389960457819,
        4.743409782724276,
        4.743429604990732,
        4.743449427257189,
        4.743469249523645,
        4.743489071790102,
        4.743508894056557,
        4.743528716323015,
        4.743548538589471,
        4.743568360855928,
        4.743588183122384,
        4.7436080053888405,
        4.743627827655297,
        4.743647649921754,
        4.74366747218821,
        4.743687294454667,
        4.743707116721123,
        4.74372693898758,
        4.7437467612540365,
        4.743766583520493,
        4.74378640578695,
        4.743806228053406,
        4.743826050319862,
        4.74384587258632,
        4.743865694852775,
        4.7438855171192325,
        4.743905339385688,
        4.743925161652146,
        4.743944983918602,
        4.743964806185058,
        4.743984628451516,
        4.744004450717971,
        4.744024272984428,
        4.744044095250885,
        4.744063917517342,
        4.744083739783798,
        4.744103562050254,
        4.744123384316711,
        4.744143206583168,
        4.7441630288496235,
        4.744182851116081,
        4.744202673382537,
        4.744222495648994,
        4.744242317915449,
        4.744262140181907,
        4.744281962448364,
        4.7443017847148194,
        4.744321606981276,
        4.744341429247733,
        4.744361251514189,
        4.744381073780646,
        4.744400896047102,
        4.74442071831356,
        4.7444405405800145,
        4.744460362846472,
        4.744480185112929,
        4.7445000073793855,
        4.744519829645841,
        4.744539651912298,
        4.744559474178756,
        4.744579296445211,
        4.744856808175603,
        4.744876630442059,
        4.744896452708516,
        4.744916274974973,
        4.744936097241428,
        4.744955919507886,
        4.744975741774342,
        4.744995564040799,
        4.745015386307255,
        4.745035208573712,
        4.745055030840168,
        4.745074853106624,
        4.745094675373081,
        4.7451144976395385,
        4.745134319905995,
        4.745154142172451,
        4.745173964438908,
        4.745193786705364,
        4.745213608971822,
        4.745233431238277,
        4.7452532535047345,
        4.74527307577119,
        4.745471298435755,
        4.745491120702213,
        4.745510942968668,
        4.7455307652351255,
        4.745550587501582,
        4.745570409768039,
        4.745590232034495,
        4.745610054300951,
        4.745629876567408,
        4.745649698833865,
        4.745669521100321,
        4.745689343366778,
        4.745709165633235,
        4.745728987899691,
        4.745748810166148,
        4.745768632432604,
        4.745788454699061,
        4.7458082769655165,
        4.745828099231974,
        4.745847921498431,
        4.745867743764887,
        4.745887566031343,
        4.7459073882978,
        4.745927210564257,
        4.7459470328307125,
        4.745966855097169,
        4.745986677363627,
        4.746006499630082,
        4.746026321896539,
        4.746046144162995,
        4.746065966429453,
        4.7460857886959085,
        4.746105610962365,
        4.746125433228822,
        4.7461452554952785,
        4.746165077761734,
        4.746184900028192,
        4.746204722294648,
        4.746224544561104,
        4.74624436682756,
        4.746264189094018,
        4.746284011360475,
        4.74630383362693,
        4.746323655893388,
        4.746343478159844,
        4.7463633004263,
        4.746383122692757,
        4.746402944959214,
        4.7464227672256705,
        4.746442589492126,
        4.746462411758583,
        4.74648223402504,
        4.7465020562914955,
        4.746521878557953,
        4.746541700824409,
        4.746561523090866,
        4.746581345357321,
        4.746601167623779,
        4.746620989890236,
        4.746640812156692,
        4.746660634423148,
        4.746680456689605,
        4.7467002789560615,
        4.746720101222518,
        4.746739923488974,
        4.746759745755432,
        4.746779568021887,
        4.746799390288344,
        4.746819212554801,
        4.7468390348212575,
        4.746858857087714,
        4.74687867935417,
        4.7468985016206275,
        4.746918323887084,
        4.74693814615354,
        4.746957968419997,
        4.746977790686453,
        4.74699761295291,
        4.747017435219367,
        4.747156191084562,
        4.747176013351019,
        4.747195835617475,
        4.747215657883931,
        4.747235480150388,
        4.747255302416845,
        4.747275124683301,
        4.747294946949758,
        4.747314769216214,
        4.747334591482671,
        4.747354413749128,
        4.747374236015584,
        4.74739405828204,
        4.747413880548497,
        4.747433702814954,
        4.7474535250814105,
        4.747473347347867,
        4.747493169614324,
        4.74751299188078,
        4.747532814147236,
        4.747552636413694,
        4.747572458680149,
        4.7475922809466065,
        4.747612103213062,
        4.74763192547952,
        4.747651747745975,
        4.747671570012432,
        4.747691392278889,
        4.747711214545346,
        4.7477310368118015,
        4.747750859078258,
        4.747770681344715,
        4.747790503611172,
        4.747810325877627,
        4.747830148144085,
        4.747849970410541,
        4.7478697926769975,
        4.747889614943454,
        4.747909437209911,
        4.747929259476367,
        4.747949081742823,
        4.747968904009281,
        4.747988726275738,
        4.7480085485421935,
        4.74802837080865,
        4.748048193075107,
        4.7480680153415635,
        4.74808783760802,
        4.748107659874476,
        4.748127482140934,
        4.7481473044073885,
        4.748167126673846,
        4.748186948940303,
        4.7482067712067595,
        4.748226593473215,
        4.748246415739672,
        4.748266238006129,
        4.7482860602725845,
        4.748305882539041,
        4.748325704805499,
        4.748345527071955,
        4.748365349338411,
        4.748385171604867,
        4.748404993871325,
        4.748424816137781,
        4.748444638404237,
        4.748464460670694,
        4.7484842829371505,
        4.748504105203606,
        4.748523927470064,
        4.748543749736521,
        4.748563572002977,
        4.748583394269433,
        4.74860321653589,
        4.748623038802347,
        4.748642861068802,
        4.74866268333526,
        4.748682505601716,
        4.748702327868173,
        4.748722150134629,
        4.748741972401086,
        4.7487617946675424,
        4.748781616933999,
        4.748801439200455,
        4.7488212614669125,
        4.748841083733368,
        4.748860905999825,
        4.748880728266281,
        4.748900550532738,
        4.748920372799194,
        4.748940195065651,
        4.748960017332108,
        4.748979839598564,
        4.74899966186502,
        4.749019484131477,
        4.7490393063979335,
        4.749059128664391,
        4.749078950930846,
        4.749098773197304,
        4.74911859546376,
        4.749138417730217,
        4.749158239996674,
        4.749178062263129,
        4.749197884529587,
        4.749217706796042,
        4.7492375290624995,
        4.749257351328956,
        4.749277173595413,
        4.749296995861869,
        4.749316818128325,
        4.749336640394782,
        4.749356462661239,
        4.749376284927695,
        4.749396107194152,
        4.749415929460608,
        4.749435751727065,
        4.7494555739935205,
        4.749475396259978,
        4.749495218526435,
        4.7495150407928906,
        4.749534863059347,
        4.749554685325804,
        4.74957450759226,
        4.749594329858717,
        4.749614152125173,
        4.749633974391631,
        4.749653796658086,
        4.749673618924543,
        4.749693441191001,
        4.749713263457456,
        4.749733085723913,
        4.749752907990369,
        4.749772730256827,
        4.7497925525232825,
        4.749812374789739,
        4.749832197056196,
        4.7498520193226526,
        4.749871841589108,
        4.749891663855566,
        4.749911486122022,
        4.749931308388478,
        4.749951130654934,
        4.749970952921392,
        4.7499907751878485,
        4.750010597454304,
        4.750030419720761,
        4.750050241987218,
        4.7500700642536735,
        4.75008988652013,
        4.750109708786587,
        4.7501295310530445,
        4.750149353319499,
        4.750169175585957,
        4.750188997852413,
        4.75020882011887,
        4.750228642385326,
        4.750248464651783,
        4.75026828691824,
        4.750288109184695,
        4.750307931451153,
        4.75032775371761,
        4.750347575984066,
        4.750367398250522,
        4.750387220516979,
        4.7504070427834355,
        4.750426865049892,
        4.750446687316348,
        4.750466509582806,
        4.750486331849261,
        4.750506154115718,
        4.750525976382175,
        4.7505457986486315,
        4.750565620915088,
        4.750585443181544,
        4.750605265448001,
        4.750625087714458,
        4.750644909980913,
        4.750664732247371,
        4.7506845545138265,
        4.750704376780284,
        4.750724199046739,
        4.750744021313197,
        4.750763843579653,
        4.750783665846109,
        4.750803488112566,
        4.7508233103790225,
        4.75084313264548,
        4.750862954911936,
        4.750882777178393,
        4.750902599444849,
        4.750922421711306,
        4.750942243977762,
        4.750962066244219,
        4.750981888510675,
        4.751001710777132,
        4.751021533043588,
        4.751041355310045,
        4.751061177576502,
        4.751080999842958,
        4.751100822109414,
        4.751120644375871,
        4.751140466642327,
        4.7511602889087845,
        4.75118011117524,
        4.751199933441698,
        4.751219755708153,
        4.75123957797461,
        4.751259400241066,
        4.751279222507524,
        4.75129904477398,
        4.751318867040436,
        4.751338689306893,
        4.751358511573349,
        4.7513783338398055,
        4.751398156106263,
        4.75141797837272,
        4.7514378006391755,
        4.751457622905632,
        4.751477445172089,
        4.751497267438546,
        4.751517089705001,
        4.751536911971459,
        4.751556734237915,
        4.7515765565043715,
        4.751596378770828,
        4.751616201037285,
        4.751636023303742,
        4.751655845570197,
        4.751675667836654,
        4.751695490103112,
        4.751715312369567,
        4.751735134636024,
        4.75175495690248,
        4.7517747791689375,
        4.7517946014353925,
        4.75181442370185,
        4.751834245968307,
        4.7518540682347625,
        4.751873890501219,
        4.751893712767676,
        4.751913535034133,
        4.751933357300589,
        4.751953179567045,
        4.751973001833503,
        4.751992824099959,
        4.752012646366415,
        4.752032468632873,
        4.752052290899329,
        4.752072113165785,
        4.752091935432241,
        4.752111757698699,
        4.752131579965155,
        4.752151402231611,
        4.752171224498068,
        4.7521910467645245,
        4.75221086903098,
        4.752230691297438,
        4.752250513563894,
        4.752270335830351,
        4.752290158096806,
        4.752309980363264,
        4.7523298026297205,
        4.752349624896177,
        4.752369447162633,
        4.75238926942909,
        4.752409091695546,
        4.752428913962002,
        4.752448736228459,
        4.7524685584949165,
        4.752488380761372,
        4.752508203027829,
        4.752528025294285,
        4.752547847560742,
        4.752567669827199,
        4.752587492093655,
        4.752607314360112,
        4.752627136626568,
        4.752646958893025,
        4.752666781159482,
        4.752686603425938,
        4.752706425692395,
        4.752726247958851,
        4.7527460702253075,
        4.752765892491765,
        4.75278571475822,
        4.752805537024678,
        4.752825359291133,
        4.752845181557591,
        4.752865003824047,
        4.7528848260905034,
        4.75290464835696,
        4.752924470623416,
        4.752944292889873,
        4.75296411515633,
        4.752983937422786,
        4.753003759689243,
        4.7530235819556985,
        4.753043404222156,
        4.753063226488612,
        4.753083048755069,
        4.753102871021526,
        4.753122693287982,
        4.753142515554439,
        4.7531623378208945,
        4.753182160087352,
        4.753201982353809,
        4.753221804620265,
        4.753241626886721,
        4.753261449153178,
        4.753281271419634,
        4.753301093686091,
        4.753320915952547,
        4.753340738219005,
        4.75336056048546,
        4.753380382751917,
        4.753400205018374,
        4.753420027284831,
        4.753439849551286,
        4.753459671817743,
        4.7534794940842,
        4.7534993163506565,
        4.753519138617112,
        4.75353896088357,
        4.753558783150026,
        4.753578605416482,
        4.753598427682938,
        4.753618249949396,
        4.7536380722158516,
        4.753657894482308,
        4.753677716748766,
        4.753697539015222,
        4.753717361281678,
        4.753737183548135,
        4.753757005814592,
        4.753776828081048,
        4.753796650347504,
        4.753816472613961,
        4.7538362948804185,
        4.753856117146873,
        4.753875939413331,
        4.753895761679787,
        4.753915583946244,
        4.7539354062127,
        4.753955228479157,
        4.7539750507456136,
        4.753994873012069,
        4.754014695278526,
        4.754034517544984,
        4.754054339811439,
        4.754074162077896,
        4.754093984344352,
        4.7541138066108095,
        4.754133628877265,
        4.754153451143722,
        4.754173273410179,
        4.754193095676635,
        4.754212917943091,
        4.754232740209548,
        4.7542525624760055,
        4.754272384742462,
        4.754292207008918,
        4.754312029275375,
        4.754331851541831,
        4.754351673808287,
        4.754371496074745,
        4.7543913183412005,
        4.754411140607658,
        4.754430962874113,
        4.754450785140571,
        4.754470607407027,
        4.754490429673484,
        4.75451025193994,
        4.7545300742063965,
        4.754549896472853,
        4.75456971873931,
        4.754589541005766,
        4.754609363272223,
        4.754629185538679,
        4.754649007805136,
        4.7546688300715925,
        4.754847230469701,
        4.754867052736158,
        4.754886875002614,
        4.754906697269072,
        4.754926519535527,
        4.754946341801984,
        4.75496616406844,
        4.754985986334898,
        4.755005808601354,
        4.75502563086781,
        4.755045453134267,
        4.755065275400723,
        4.7550850976671795,
        4.755104919933637,
        4.755124742200093,
        4.7551445644665495,
        4.755164386733005,
        4.755184208999463,
        4.75520403126592,
        4.755223853532375,
        4.755243675798832,
        4.755263498065289,
        4.755283320331745,
        4.755303142598202,
        4.755322964864658,
        4.755342787131116,
        4.7553626093975705,
        4.755382431664028,
        4.755402253930485,
        4.755422076196941,
        4.755441898463398,
        4.755461720729854,
        4.7554815429963115,
        4.7555013652627665,
        4.755521187529224,
        4.755541009795681,
        4.7555608320621365,
        4.755580654328593,
        4.75560047659505,
        4.755620298861507,
        4.755640121127963,
        4.755659943394419,
        4.755679765660877,
        4.7556995879273325,
        4.755719410193789,
        4.755739232460246,
        4.755759054726703,
        4.755778876993158,
        4.755798699259615,
        4.755818521526072,
        4.755838343792529,
        4.755858166058984,
        4.755877988325442,
        4.755897810591898,
        4.755917632858355,
        4.755937455124811,
        4.755957277391268,
        4.755977099657725,
        4.75599692192418,
        4.756016744190638,
        4.756036566457094,
        4.756056388723551,
        4.756076210990007,
        4.756096033256464,
        4.75611585552292,
        4.756135677789376,
        4.756155500055833,
        4.7561753223222905,
        4.756195144588746,
        4.756214966855203,
        4.756234789121659,
        4.756254611388116,
        4.756274433654572,
        4.756294255921029,
        4.7563140781874855,
        4.756333900453942,
        4.756353722720398,
        4.756373544986856,
        4.756393367253311,
        4.756413189519769,
        4.756433011786224,
        4.7564528340526815,
        4.756472656319138,
        4.756492478585594,
        4.756512300852051,
        4.756532123118507,
        4.756551945384965,
        4.75657176765142,
        4.7565915899178774,
        4.756611412184334,
        4.756631234450791,
        4.756651056717247,
        4.756670878983703,
        4.75669070125016,
        4.756710523516617,
        4.7567303457830725,
        4.75675016804953,
        4.756769990315986,
        4.756789812582443,
        4.756809634848899,
        4.756829457115356,
        4.756849279381812,
        4.7568691016482685,
        4.756888923914725,
        4.756908746181183,
        4.756928568447638,
        4.756948390714095,
        4.756968212980551,
        4.756988035247009,
        4.757007857513464,
        4.757027679779921,
        4.757047502046378,
        4.757067324312834,
        4.75708714657929,
        4.757106968845748,
        4.757126791112205,
        4.75714661337866,
        4.757166435645117,
        4.757186257911574,
        4.75720608017803,
        4.757225902444486,
        4.757245724710944,
        4.7572655469774,
        4.757285369243856,
        4.757305191510312,
        4.75732501377677,
        4.7573448360432256,
        4.757364658309682,
        4.757384480576139,
        4.757404302842596,
        4.757424125109051,
        4.757443947375509,
        4.757463769641965,
        4.757483591908422,
        4.757503414174877,
        4.757523236441335,
        4.757543058707792,
        4.757562880974247,
        4.757582703240704,
        4.757602525507161,
        4.7576223477736175,
        4.757642170040074,
        4.75766199230653,
        4.7576818145729876,
        4.757701636839443,
        4.7577214591059,
        4.757741281372358,
        4.757761103638813,
        4.75778092590527,
        4.757800748171726,
        4.7578205704381835,
        4.757840392704639,
        4.757860214971096,
        4.757880037237553,
        4.757899859504009,
        4.757919681770465,
        4.757939504036922,
        4.757959326303379,
        4.757979148569836,
        4.757998970836291,
        4.758018793102749,
        4.7580386153692045,
        4.758058437635661,
        4.758078259902118,
        4.7580980821685745,
        4.758117904435031,
        4.758137726701487,
        4.758157548967944,
        4.758177371234401,
        4.758197193500857,
        4.758217015767314,
        4.7582368380337705,
        4.758256660300227,
        4.758276482566684,
        4.75829630483314,
        4.758316127099597,
        4.758335949366053,
        4.75835577163251,
        4.758534172030618,
        4.758553994297076,
        4.758573816563531,
        4.758593638829988,
        4.758613461096445,
        4.758633283362901,
        4.7586531056293575,
        4.758672927895814,
        4.758692750162271,
        4.758712572428728,
        4.758732394695183,
        4.758752216961641,
        4.758772039228096,
        4.7587918614945535,
        4.758811683761011,
        4.758831506027467,
        4.7588513282939235,
        4.758871150560379,
        4.758890972826837,
        4.758910795093294,
        4.758930617359749,
        4.758950439626206,
        4.758970261892663,
        4.758990084159119,
        4.759009906425575,
        4.759029728692032,
        4.75904955095849,
        4.7590693732249445,
        4.759089195491402,
        4.759109017757858,
        4.759128840024315,
        4.759148662290771,
        4.759168484557228,
        4.759188306823685,
        4.7592081290901405,
        4.759227951356597,
        4.759247773623055,
        4.7592675958895105,
        4.759287418155967,
        4.759307240422423,
        4.759327062688881,
        4.759346884955336,
        4.759366707221793,
        4.759386529488251,
        4.7594063517547065,
        4.759426174021163,
        4.75944599628762,
        4.759465818554077,
        4.759485640820533,
        4.759505463086989,
        4.759525285353446,
        4.759545107619903,
        4.759564929886358,
        4.759584752152816,
        4.759604574419272,
        4.759624396685729,
        4.759644218952184,
        4.759664041218642,
        4.759683863485098,
        4.759703685751554,
        4.759723508018011,
        4.759743330284468,
        4.759763152550924,
        4.759782974817381,
        4.759802797083837,
        4.759822619350294,
        4.759842441616749,
        4.759862263883207,
        4.759882086149664,
        4.75990190841612,
        4.759921730682576,
        4.759941552949033,
        4.75996137521549,
        4.759981197481947,
        4.760001019748403,
        4.7600208420148595,
        4.760040664281316,
        4.760060486547772,
        4.76008030881423,
        4.760100131080685,
        4.760119953347143,
        4.760139775613598,
        4.7601595978800555,
        4.760179420146511,
        4.760199242412969,
        4.760219064679425,
        4.760238886945881,
        4.760258709212338,
        4.760278531478794,
        4.760298353745251,
        4.760318176011708,
        4.760337998278164,
        4.760357820544621,
        4.7603776428110764,
        4.760397465077534,
        4.76041728734399,
        4.7604371096104465,
        4.760456931876903,
        4.76047675414336,
        4.760496576409816,
        4.760516398676273,
        4.76053622094273,
        4.760556043209186,
        4.7605758654756425,
        4.760595687742099,
        4.760615510008557,
        4.760635332275012,
        4.760655154541469,
        4.760674976807925,
        4.760694799074383,
        4.760714621340838,
        4.760734443607295,
        4.760754265873752,
        4.760774088140208,
        4.760793910406664,
        4.760813732673121,
        4.760833554939578,
        4.760853377206034,
        4.76087319947249,
        4.760893021738948,
        4.760912844005403,
        4.76093266627186,
        4.760952488538317,
        4.760972310804774,
        4.7609921330712295,
        4.761011955337686,
        4.761031777604143,
        4.7610515998706004,
        4.761071422137055,
        4.761091244403513,
        4.76111106666997,
        4.761190355735796,
        4.761210178002251,
        4.761230000268709,
        4.761249822535166,
        4.761269644801621,
        4.761289467068078,
        4.761309289334535,
        4.7613291116009915,
        4.761348933867447,
        4.761368756133904,
        4.761388578400362,
        4.761408400666817,
        4.761428222933274,
        4.76144804519973,
        4.761467867466187,
        4.761487689732643,
        4.7615075119991,
        4.761527334265557,
        4.761547156532013,
        4.761566978798469,
        4.761586801064927,
        4.7616066233313825,
        4.761626445597839,
        4.761646267864295,
        4.761666090130753,
        4.76168591239721,
        4.761705734663665,
        4.761725556930123,
        4.7617453791965785,
        4.761765201463036,
        4.761785023729492,
        4.7618048459959486,
        4.761824668262405,
        4.761844490528861,
        4.761864312795318,
        4.761884135061775,
        4.761903957328231,
        4.761923779594688,
        4.761943601861144,
        4.761963424127601,
        4.761983246394056,
        4.762003068660514,
        4.76202289092697,
        4.762042713193427,
        4.762062535459883,
        4.76208235772634,
        4.762102179992796,
        4.762122002259254,
        4.762141824525709,
        4.762161646792166,
        4.762181469058622,
        4.762201291325079,
        4.7622211135915355,
        4.762240935857992,
        4.76226075812445,
        4.762280580390905,
        4.762300402657362,
        4.762320224923819,
        4.762340047190275,
        4.7623598694567315,
        4.762379691723188,
        4.762399513989645,
        4.762419336256102,
        4.762439158522557,
        4.762458980789015,
        4.762478803055471,
        4.7624986253219275,
        4.762518447588383,
        4.762538269854841,
        4.762558092121297,
        4.762577914387753,
        4.76259773665421,
        4.762617558920667,
        4.7626373811871225,
        4.76265720345358,
        4.762677025720036,
        4.762696847986493,
        4.762716670252948,
        4.762736492519406,
        4.762756314785863,
        4.7627761370523185,
        4.762795959318775,
        4.762815781585232,
        4.7628356038516895,
        4.762855426118145,
        4.762875248384602,
        4.762895070651059,
        4.7629148929175145,
        4.762934715183971,
        4.762954537450429,
        4.7629743597168845,
        4.762994181983341,
        4.763014004249797,
        4.763033826516255,
        4.76305364878271,
        4.763073471049167,
        4.763093293315624,
        4.7631131155820805,
        4.763132937848536,
        4.763152760114993,
        4.76317258238145,
        4.763192404647907,
        4.763212226914362,
        4.76323204918082,
        4.763251871447276,
        4.763271693713732,
        4.763291515980189,
        4.763311338246646,
        4.763331160513102,
        4.763350982779558,
        4.763370805046015,
        4.763390627312472,
        4.763410449578928,
        4.763430271845385,
        4.763450094111842,
        4.763469916378298,
        4.763489738644755,
        4.763509560911211,
        4.763529383177668,
        4.763549205444124,
        4.763569027710581,
        4.763588849977038,
        4.763608672243494,
        4.76362849450995,
        4.763648316776407,
        4.7636681390428635,
        4.763687961309321,
        4.763707783575776,
        4.7637276058422335,
        4.763747428108689,
        4.763767250375146,
        4.763787072641602,
        4.763806894908059,
        4.763826717174516,
        4.763846539440972,
        4.763866361707429,
        4.763886183973885,
        4.763906006240342,
        4.763925828506799,
        4.763945650773255,
        4.763965473039712,
        4.763985295306168,
        4.764005117572625,
        4.764024939839082,
        4.764044762105538,
        4.764064584371995,
        4.7640844066384505,
        4.764104228904908,
        4.764124051171364,
        4.7641438734378205,
        4.764163695704277,
        4.764322273835929,
        4.764342096102386,
        4.764361918368842,
        4.764381740635299,
        4.764401562901756,
        4.764421385168212,
        4.764441207434668,
        4.764461029701126,
        4.764480851967581,
        4.764500674234038,
        4.764520496500495,
        4.764540318766952,
        4.764560141033408,
        4.764579963299864,
        4.764599785566322,
        4.764619607832778,
        4.764639430099234,
        4.764659252365691,
        4.764679074632148,
        4.7646988968986035,
        4.76471871916506,
        4.764738541431517,
        4.7647583636979745,
        4.764778185964429,
        4.764798008230887,
        4.764817830497343,
        4.7648376527637994,
        4.764857475030256,
        4.764877297296713,
        4.7648971195631695,
        4.764916941829625,
        4.764936764096082,
        4.764956586362539,
        4.764976408628995,
        4.764996230895452,
        4.765016053161908,
        4.7650358754283655,
        4.76505569769482,
        4.765075519961278,
        4.765095342227736,
        4.765115164494191,
        4.765134986760648,
        4.765154809027104,
        4.7651746312935614,
        4.765194453560017,
        4.765214275826474,
        4.765234098092931,
        4.765253920359387,
        4.765273742625843,
        4.765293564892301,
        4.7653133871587565,
        4.765333209425214,
        4.765353031691669,
        4.765372853958127,
        4.765392676224583,
        4.765412498491039,
        4.765432320757496,
        4.7654521430239525,
        4.765471965290409,
        4.765491787556865,
        4.765511609823322,
        4.765531432089779,
        4.765551254356234,
        4.765571076622692,
        4.7655908988891476,
        4.765610721155605,
        4.765630543422061,
        4.765650365688518,
        4.765670187954975,
        4.765690010221431,
        4.765709832487888,
        4.765729654754344,
        4.765749477020801,
        4.765769299287257,
        4.765789121553714,
        4.76580894382017,
        4.765828766086628,
        4.765848588353083,
        4.76586841061954,
        4.766106277817019,
        4.766126100083474,
        4.766145922349931,
        4.766165744616388,
        4.766185566882845,
        4.766205389149301,
        4.766225211415757,
        4.766245033682215,
        4.766264855948671,
        4.766284678215127,
        4.766304500481584,
        4.766324322748041,
        4.7663441450144965,
        4.766363967280954,
        4.76638378954741,
        4.7664036118138675,
        4.766423434080322,
        4.76644325634678,
        4.766463078613237,
        4.7664829008796925,
        4.766502723146149,
        4.766522545412606,
        4.766542367679063,
        4.766562189945519,
        4.766582012211975,
        4.766601834478433,
        4.766621656744888,
        4.766641479011345,
        4.766661301277802,
        4.7666811235442585,
        4.766700945810714,
        4.766720768077171,
        4.766740590343628,
        4.766760412610084,
        4.76678023487654,
        4.766800057142998,
        4.7668198794094545,
        4.76683970167591,
        4.766859523942367,
        4.766879346208824,
        4.766899168475281,
        4.766918990741736,
        4.766938813008194,
        4.76695863527465,
        4.766978457541106,
        4.766998279807563,
        4.76701810207402,
        4.76735508060378,
        4.7673749028702375,
        4.767394725136694,
        4.76741454740315,
        4.7674343696696075,
        4.767454191936063,
        4.767474014202521,
        4.767493836468976,
        4.767513658735433,
        4.76753348100189,
        4.767553303268346,
        4.767573125534803,
        4.767592947801259,
        4.767612770067716,
        4.767632592334173,
        4.7676524146006285,
        4.767672236867086,
        4.767692059133541,
        4.767711881399999,
        4.767731703666455,
        4.767751525932912,
        4.767771348199368,
        4.7677911704658245,
        4.767810992732281,
        4.767830814998739,
        4.767850637265194,
        4.767870459531651,
        4.767890281798107,
        4.767910104064564,
        4.7679299263310195,
        4.767949748597477,
        4.767969570863935,
        4.76798939313039,
        4.768009215396847,
        4.768068682196216,
        4.768187615794955,
        4.768207438061412,
        4.768227260327868,
        4.768247082594326,
        4.7682669048607815,
        4.768286727127238,
        4.768306549393695,
        4.768326371660152,
        4.768346193926607,
        4.768366016193065,
        4.768385838459521,
        4.7684056607259775,
        4.768425482992433,
        4.768445305258891,
        4.768465127525348,
        4.768484949791803,
        4.76850477205826,
        4.768524594324717,
        4.768544416591174,
        4.768564238857629,
        4.768584061124087,
        4.7686038833905435,
        4.768623705656999,
        4.768643527923456,
        4.768663350189913,
        4.768683172456369,
        4.768702994722826,
        4.768722816989282,
        4.7687426392557395,
        4.768762461522194,
        4.769119262318412,
        4.769476063114631,
        4.769495885381087,
        4.769515707647544,
        4.769535529914001,
        4.769555352180457,
        4.7695751744469135,
        4.76959499671337,
        4.769614818979826,
        4.769634641246283,
        4.76965446351274,
        4.769674285779197,
        4.769694108045653,
        4.769713930312109,
        4.769733752578566,
        4.769753574845023,
        4.7697733971114795,
        4.769793219377935,
        4.769813041644393,
        4.769832863910848,
        4.769852686177305,
        4.769872508443762,
        4.769892330710219,
        4.769912152976675,
        4.769931975243131,
        4.769951797509588,
        4.769971619776046,
        4.7699914420425005,
        4.770011264308958,
        4.770031086575414,
        4.7700509088418706,
        4.770070731108327,
        4.770090553374784,
        4.770110375641241,
        4.770130197907696,
        4.770150020174153,
        4.770169842440611,
        4.770189664707066,
        4.770209486973523,
        4.77022930923998,
        4.770249131506437,
        4.770268953772892,
        4.770288776039349,
        4.770308598305807,
        4.7703284205722625,
        4.770348242838719,
        4.770368065105175,
        4.7703878873716326,
        4.770407709638088,
        4.770427531904545,
        4.770447354171002,
        4.770467176437458,
        4.770486998703914,
        4.770506820970372,
        4.770526643236828,
        4.770546465503284,
        4.77056628776974,
        4.770586110036198,
        4.770605932302654,
        4.77062575456911,
        4.770645576835567,
        4.770665399102024,
        4.77068522136848,
        4.770705043634937,
        4.770724865901393,
        4.77074468816785,
        4.770764510434305,
        4.770784332700763,
        4.77080415496722,
        4.770823977233676,
        4.770843799500133,
        4.770863621766589,
        4.770883444033046,
        4.770903266299501,
        4.770923088565959,
        4.7709429108324155,
        4.770962733098872,
        4.770982555365328,
        4.771002377631785,
        4.771022199898241,
        4.771042022164699,
        4.771061844431154,
        4.7710816666976115,
        4.771101488964067,
        4.771121311230524,
        4.771141133496981,
        4.771160955763437,
        4.771180778029894,
        4.77120060029635,
        4.7712204225628065,
        4.771240244829264,
        4.771260067095719,
        4.771279889362177,
        4.771299711628632,
        4.77131953389509,
        4.771339356161546,
        4.7713591784280025,
        4.77137900069446,
        4.771398822960915,
        4.771418645227373,
        4.771438467493828,
        4.771458289760286,
        4.771478112026742,
        4.7714979342931985,
        4.771517756559655,
        4.771537578826112,
        4.771557401092568,
        4.771577223359025,
        4.771597045625481,
        4.771616867891938,
        4.7716366901583935,
        4.771656512424851,
        4.771676334691308,
        4.771696156957764,
        4.77171597922422,
        4.771735801490677,
        4.771755623757133,
        4.77177544602359,
        4.771795268290046,
        4.771815090556504,
        4.771834912822959,
        4.771854735089416,
        4.771874557355873,
        4.77189437962233,
        4.7719142018887855,
        4.771934024155242,
        4.7719538464217,
        4.7719736686881555,
        4.771993490954612,
        4.772013313221069,
        4.772033135487526,
        4.772052957753981,
        4.772072780020438,
        4.772092602286895,
        4.7721124245533515,
        4.772132246819807,
        4.772152069086265,
        4.772171891352721,
        4.772191713619177,
        4.772211535885634,
        4.772231358152091,
        4.7722511804185475,
        4.772271002685003,
        4.77229082495146,
        4.7723106472179175,
        4.7723304694843725,
        4.77235029175083,
        4.772370114017286,
        4.772389936283743,
        4.772409758550199,
        4.772429580816656,
        4.772449403083113,
        4.772469225349568,
        4.772489047616025,
        4.772508869882483,
        4.772528692148939,
        4.772548514415395,
        4.772568336681852,
        4.772588158948309,
        4.772607981214766,
        4.772627803481221,
        4.772647625747679,
        4.7726674480141345,
        4.772687270280591,
        4.772707092547047,
        4.7727269148135045,
        4.772746737079961,
        4.772766559346417,
        4.772786381612874,
        4.77280620387933,
        4.772826026145787,
        4.772845848412244,
        4.7728656706787,
        4.772885492945157,
        4.772905315211612,
        4.77292513747807,
        4.772944959744526,
        4.772964782010983,
        4.772984604277439,
        4.773004426543896,
        4.773024248810352,
        4.773044071076809,
        4.773063893343265,
        4.773083715609722,
        4.773103537876179,
        4.773123360142635,
        4.773143182409092,
        4.773163004675548,
        4.773182826942005,
        4.773202649208461,
        4.773222471474918,
        4.773242293741374,
        4.773262116007831,
        4.7732819382742875,
        4.773301760540744,
        4.773321582807201,
        4.773341405073657,
        4.773361227340113,
        4.773381049606571,
        4.773400871873026,
        4.7734206941394834,
        4.773440516405939,
        4.773460338672397,
        4.773480160938853,
        4.773499983205309,
        4.773519805471766,
        4.773539627738223,
        4.7735594500046785,
        4.773579272271136,
        4.773599094537592,
        4.773618916804049,
        4.773638739070504,
        4.773658561336962,
        4.77367838360342,
        4.7736982058698745,
        4.773718028136332,
        4.77389642853444,
        4.773916250800897,
        4.773936073067353,
        4.773955895333811,
        4.7739757176002655,
        4.773995539866723,
        4.77401536213318,
        4.7740351843996365,
        4.774055006666092,
        4.774074828932549,
        4.774094651199006,
        4.774114473465462,
        4.774134295731918,
        4.774154117998376,
        4.7741739402648316,
        4.774193762531288,
        4.774213584797746,
        4.774233407064202,
        4.774253229330659,
        4.774273051597114,
        4.774292873863572,
        4.774312696130028,
        4.774332518396484,
        4.774352340662941,
        4.774372162929398,
        4.774391985195854,
        4.77441180746231,
        4.774431629728767,
        4.774451451995224,
        4.774471274261679,
        4.774491096528137,
        4.774510918794593,
        4.77453074106105,
        4.774550563327506,
        4.774570385593963,
        4.774590207860419,
        4.774610030126875,
        4.774629852393332,
        4.7746496746597895,
        4.774669496926245,
        4.774689319192702,
        4.774709141459158,
        4.774728963725615,
        4.774748785992072,
        4.774768608258528,
        4.7747884305249855,
        4.774808252791441,
        4.774828075057898,
        4.774847897324355,
        4.774867719590811,
        4.774887541857268,
        4.774907364123724,
        4.7749271863901805,
        4.774947008656638,
        4.774966830923093,
        4.774986653189551,
        4.775006475456006,
        4.775026297722464,
        4.775046119988919,
        4.7750659422553765,
        4.775085764521833,
        4.77510558678829,
        4.775125409054746,
        4.775145231321202,
        4.775165053587659,
        4.775184875854116,
        4.775204698120572,
        4.775224520387029,
        4.775244342653485,
        4.775264164919942,
        4.775283987186398,
        4.775303809452855,
        4.775323631719311,
        4.7753434539857675,
        4.775363276252225,
        4.775383098518682,
        4.775402920785138,
        4.775422743051594,
        4.775442565318051,
        4.775462387584508,
        4.775482209850964,
        4.77550203211742,
        4.775521854383878,
        4.775541676650333,
        4.77556149891679,
        4.775581321183247,
        4.775601143449704,
        4.7756209657161595,
        4.775640787982616,
        4.775660610249073,
        4.775680432515529,
        4.775700254781985,
        4.775720077048443,
        4.775739899314899,
        4.775759721581355,
        4.775779543847811,
        4.775799366114269,
        4.7758191883807255,
        4.775839010647181,
        4.775858832913638,
        4.775878655180095,
        4.7758984774465505,
        4.775918299713008,
        4.775938121979465,
        4.7759579442459215,
        4.775977766512377,
        4.775997588778834,
        4.7760174110452915,
        4.7760372333117465,
        4.776057055578204,
        4.77607687784466,
        4.776096700111117,
        4.776116522377573,
        4.77613634464403,
        4.776156166910487,
        4.776175989176943,
        4.776195811443399,
        4.776215633709856,
        4.7762354559763125,
        4.776255278242769,
        4.776275100509225,
        4.776294922775683,
        4.776314745042138,
        4.776334567308595,
        4.776354389575052,
        4.7763742118415085,
        4.776394034107964,
        4.776413856374421,
        4.776433678640878,
        4.776453500907335,
        4.77647332317379,
        4.776493145440248,
        4.776512967706704,
        4.776532789973161,
        4.776552612239618,
        4.776572434506074,
        4.776592256772531,
        4.776612079038986,
        4.776631901305444,
        4.7766517235719,
        4.776671545838357,
        4.776691368104813,
        4.77671119037127,
        4.776731012637726,
        4.776750834904182,
        4.776770657170639,
        4.776790479437096,
        4.776810301703552,
        4.776830123970009,
        4.776849946236465,
        4.776869768502922,
        4.776889590769379,
        4.777305858364966,
        4.777325680631423,
        4.777345502897878,
        4.777365325164336,
        4.777385147430793,
        4.7774049696972485,
        4.777424791963705,
        4.777444614230162,
        4.777464436496618,
        4.777484258763074,
        4.777504081029531,
        4.777523903295989,
        4.7775437255624436,
        4.777563547828901,
        4.777583370095357,
        4.7776031923618145,
        4.77762301462827,
        4.777642836894727,
        4.777662659161185,
        4.7776824814276395,
        4.777702303694097,
        4.777722125960554,
        4.7777419482270105,
        4.777761770493466,
        4.777781592759923,
        4.77780141502638,
        4.777821237292836,
        4.777841059559292,
        4.77786088182575,
        4.7778807040922056,
        4.777900526358662,
        4.777920348625119,
        4.777940170891576,
        4.777959993158032,
        4.777979815424488,
        4.777999637690945,
        4.7780194599574015,
        4.778039282223857,
        4.778059104490315,
        4.778078926756771,
        4.778098749023228,
        4.778118571289683,
        4.778138393556141,
        4.7781582158225975,
        4.778178038089053,
        4.77819786035551,
        4.778217682621967,
        4.778237504888424,
        4.77825732715488,
        4.778277149421337,
        4.778296971687793,
        4.77831679395425,
        4.778336616220706,
        4.7783564384871635,
        4.778376260753619,
        4.778396083020076,
        4.778415905286532,
        4.778435727552989,
        4.778455549819446,
        4.778475372085902,
        4.778495194352359,
        4.778515016618815,
        4.778534838885271,
        4.778554661151728,
        4.7785744834181845,
        4.778594305684642,
        4.778614127951097,
        4.7786339502175545,
        4.77865377248401,
        4.778673594750467,
        4.778693417016924,
        4.77871323928338,
        4.778733061549837,
        4.778752883816293,
        4.77877270608275,
        4.778792528349207,
        4.778812350615664,
        4.77883217288212,
        4.778851995148576,
        4.778871817415033,
        4.77889163968149,
        4.778911461947946,
        4.778931284214403,
        4.778951106480859,
        4.778970928747316,
        4.778990751013772,
        4.779010573280229,
        4.779030395546686,
        4.7790502178131415,
        4.779070040079598,
        4.779089862346056,
        4.779109684612511,
        4.779129506878968,
        4.779149329145424,
        4.779169151411882,
        4.779188973678337,
        4.779208795944794,
        4.779228618211251,
        4.779248440477707,
        4.779268262744163,
        4.77928808501062,
        4.779307907277077,
        4.7793277295435335,
        4.77934755180999,
        4.779367374076447,
        4.7793871963429035,
        4.779407018609359,
        4.779426840875817,
        4.779446663142273,
        4.779466485408729,
        4.779486307675185,
        4.779506129941643,
        4.7795259522080995,
        4.779545774474555,
        4.779565596741012,
        4.779585419007469,
        4.7796052412739245,
        4.779625063540382,
        4.779644885806838,
        4.7796647080732955,
        4.77968453033975,
        4.779704352606208,
        4.779724174872665,
        4.779743997139121,
        4.779763819405577,
        4.779783641672034,
        4.7798034639384905,
        4.779823286204946,
        4.779843108471403,
        4.779862930737861,
        4.779882753004316,
        4.779902575270773,
        4.77992239753723,
        4.7799422198036865,
        4.779962042070143,
        4.779981864336599,
        4.780001686603057,
        4.780021508869512,
        4.780041331135969,
        4.780061153402426,
        4.7800809756688825,
        4.780100797935339,
        4.780120620201795,
        4.780140442468252,
        4.780160264734709,
        4.780180087001164,
        4.780199909267622,
        4.7802197315340775,
        4.780239553800535,
        4.780259376066991,
        4.780279198333448,
        4.780299020599904,
        4.78031884286636,
        4.780338665132817,
        4.7803584873992735,
        4.78037830966573,
        4.780398131932187,
        4.780417954198643,
        4.7804377764651,
        4.780457598731556,
        4.780616176863209,
        4.780635999129665,
        4.780655821396122,
        4.780675643662578,
        4.7806954659290355,
        4.780715288195491,
        4.780735110461949,
        4.780754932728404,
        4.780774754994861,
        4.780794577261318,
        4.780814399527775,
        4.780834221794231,
        4.780854044060687,
        4.780873866327144,
        4.780893688593601,
        4.7809135108600564,
        4.780933333126514,
        4.78095315539297,
        4.7809729776594265,
        4.780992799925882,
        4.78101262219234,
        4.781032444458796,
        4.781052266725252,
        4.78107208899171,
        4.781091911258166,
        4.7811117335246225,
        4.781131555791079,
        4.781151378057536,
        4.781171200323993,
        4.781191022590448,
        4.781210844856905,
        4.781230667123363,
        4.781250489389818,
        4.781270311656275,
        4.781290133922731,
        4.7813099561891885,
        4.781329778455644,
        4.781349600722101,
        4.781369422988558,
        4.7813892452550135,
        4.78140906752147,
        4.781428889787928,
        4.781448712054384,
        4.78146853432084,
        4.781488356587296,
        4.781508178853754,
        4.78152800112021,
        4.781547823386666,
        4.781567645653123,
        4.78158746791958,
        4.781607290186035,
        4.781627112452492,
        4.78164693471895,
        4.781666756985406,
        4.781686579251862,
        4.781706401518319,
        4.7817262237847755,
        4.781746046051231,
        4.781765868317689,
        4.781785690584145,
        4.781805512850602,
        4.781825335117057,
        4.781845157383515,
        4.7818649796499715,
        4.781884801916428,
        4.781904624182884,
        4.781924446449341,
        4.781944268715797,
        4.781964090982254,
        4.78198391324871,
        4.782003735515167,
        4.782023557781623,
        4.78204338004808,
        4.782063202314537,
        4.782083024580993,
        4.782102846847449,
        4.782122669113906,
        4.7821424913803625,
        4.782162313646819,
        4.782182135913275,
        4.782201958179733,
        4.782221780446189,
        4.782241602712645,
        4.782261424979102,
        4.7822812472455585,
        4.782301069512016,
        4.782320891778471,
        4.7823407140449286,
        4.782360536311384,
        4.782380358577842,
        4.782400180844298,
        4.782420003110754,
        4.782439825377211,
        4.782459647643667,
        4.782479469910124,
        4.782499292176581,
        4.782519114443037,
        4.782538936709494,
        4.7825587589759495,
        4.782578581242407,
        4.782598403508864,
        4.78261822577532,
        4.782638048041776,
        4.782657870308233,
        4.782677692574689,
        4.782697514841146,
        4.782717337107602,
        4.78273715937406,
        4.782756981640515,
        4.782776803906972,
        4.782796626173429,
        4.782816448439885,
        4.782836270706342,
        4.782856092972798,
        4.782875915239256,
        4.782895737505711,
        4.782915559772168,
        4.782935382038625,
        4.782955204305081,
        4.782975026571537,
        4.782994848837994,
        4.783014671104451,
        4.7830344933709075,
        4.783054315637363,
        4.783074137903821,
        4.783093960170277,
        4.783113782436733,
        4.78313360470319,
        4.783153426969647,
        4.7831732492361025,
        4.783193071502559,
        4.783212893769016,
        4.7832327160354735,
        4.783252538301928,
        4.783272360568386,
        4.783292182834842,
        4.783312005101299,
        4.783331827367754,
        4.783351649634212,
        4.7833714719006695,
        4.783391294167124,
        4.783411116433582,
        4.783430938700038,
        4.783450760966495,
        4.783470583232951,
        4.783490405499408,
        4.7836489836310605,
        4.783668805897516,
        4.783688628163973,
        4.78370845043043,
        4.783728272696886,
        4.783748094963342,
        4.7837679172298,
        4.783787739496256,
        4.783807561762713,
        4.783827384029168,
        4.783847206295626,
        4.783867028562082,
        4.783886850828538,
        4.783906673094995,
        4.7839264953614515,
        4.783946317627909,
        4.783966139894364,
        4.783985962160822,
        4.784005784427278,
        4.784025606693735,
        4.784045428960191,
        4.7840652512266475,
        4.784085073493104,
        4.784104895759561,
        4.784124718026017,
        4.784144540292474,
        4.78416436255893,
        4.784184184825387,
        4.7842040070918435,
        4.7842238293583,
        4.784243651624756,
        4.784263473891213,
        4.784283296157669,
        4.784303118424127,
        4.784322940690582,
        4.784342762957039,
        4.784362585223495,
        4.784382407489952,
        4.784402229756409,
        4.784709474886485,
        4.785056364549475,
        4.785076186815932,
        4.7850960090823875,
        4.785115831348844,
        4.785135653615301,
        4.785155475881758,
        4.785175298148214,
        4.78519512041467,
        4.785214942681128,
        4.7852347649475835,
        4.78525458721404,
        4.785274409480497,
        4.785294231746954,
        4.785314054013409,
        4.785333876279866,
        4.785353698546323,
        4.78537352081278,
        4.785393343079235,
        4.785413165345693,
        4.785432987612149,
        4.785452809878606,
        4.785472632145062,
        4.785492454411519,
        4.785512276677975,
        4.785532098944431,
        4.785551921210888,
        4.7855717434773455,
        4.785591565743801,
        4.785611388010258,
        4.785631210276715,
        4.785651032543171,
        4.785670854809627,
        4.785690677076084,
        4.7857104993425414,
        4.785730321608997,
        4.785750143875454,
        4.78576996614191,
        4.785789788408367,
        4.785809610674823,
        4.78582943294128,
        4.7858492552077365,
        4.785869077474193,
        4.785888899740649,
        4.785908722007107,
        4.785928544273562,
        4.78594836654002,
        4.785968188806475,
        4.7859880110729325,
        4.786007833339389,
        4.786027655605845,
        4.786047477872302,
        4.786067300138758,
        4.786087122405215,
        4.786106944671672,
        4.7861267669381276,
        4.786146589204585,
        4.786166411471041,
        4.786186233737498,
        4.786206056003955,
        4.786225878270411,
        4.786245700536868,
        4.7862655228033235,
        4.786285345069781,
        4.786305167336238,
        4.786324989602694,
        4.78634481186915,
        4.786364634135607,
        4.786384456402063,
        4.7864042786685195,
        4.786424100934976,
        4.786443923201434,
        4.786463745467889,
        4.786483567734346,
        4.786503390000802,
        4.786523212267259,
        4.786543034533715,
        4.786562856800172,
        4.786582679066629,
        4.786602501333085,
        4.786622323599541,
        4.786642145865999,
        4.786661968132455,
        4.786681790398911,
        4.786701612665367,
        4.786721434931825,
        4.786741257198281,
        4.786761079464737,
        4.786780901731195,
        4.786800723997651,
        4.786820546264107,
        4.786840368530564,
        4.786860190797021,
        4.786880013063477,
        4.786899835329933,
        4.78691965759639,
        4.786939479862847,
        4.786959302129302,
        4.78697912439576,
        4.786998946662216,
        4.787018768928673,
        4.787038591195128,
        4.787058413461586,
        4.787078235728043,
        4.787098057994498,
        4.787117880260955,
        4.787137702527412,
        4.7871575247938685,
        4.787177347060325,
        4.787197169326781,
        4.7872169915932385,
        4.7872368138596935,
        4.787256636126151,
        4.787276458392608,
        4.787296280659064,
        4.78731610292552,
        4.787335925191977,
        4.7873557474584345,
        4.787375569724891,
        4.787395391991347,
        4.787415214257804,
        4.78743503652426,
        4.787454858790716,
        4.787474681057173,
        4.78749450332363,
        4.787514325590087,
        4.787534147856542,
        4.787553970123,
        4.7875737923894555,
        4.787593614655913,
        4.787613436922369,
        4.7876332591888255,
        4.787653081455282,
        4.787672903721738,
        4.787692725988195,
        4.787712548254652,
        4.787732370521108,
        4.787752192787565,
        4.787772015054021,
        4.787791837320478,
        4.787811659586934,
        4.787831481853391,
        4.787851304119847,
        4.787871126386304,
        4.78789094865276,
        4.7879107709192175,
        4.787930593185674,
        4.78795041545213,
        4.787970237718587,
        4.787990059985043,
        4.788009882251501,
        4.788029704517956,
        4.788049526784413,
        4.788069349050869,
        4.788089171317327,
        4.788108993583782,
        4.788128815850239,
        4.788148638116696,
        4.788168460383152,
        4.7881882826496085,
        4.788208104916065,
        4.788227927182522,
        4.788247749448979,
        4.788267571715434,
        4.788287393981892,
        4.788307216248347,
        4.7883270385148045,
        4.788346860781261,
        4.788366683047718,
        4.788386505314174,
        4.78840632758063,
        4.788426149847087,
        4.788445972113545,
        4.7884657943799995,
        4.788485616646457,
        4.788505438912914,
        4.78852526117937,
        4.788545083445827,
        4.788564905712283,
        4.788584727978741,
        4.7886045502451955,
        4.788624372511653,
        4.78864419477811,
        4.788664017044566,
        4.788683839311022,
        4.788703661577479,
        4.788723483843936,
        4.7887433061103915,
        4.788763128376848,
        4.788782950643306,
        4.7888027729097615,
        4.788822595176218,
        4.788842417442674,
        4.788862239709132,
        4.788882061975587,
        4.788901884242044,
        4.788921706508501,
        4.7889415287749575,
        4.788961351041413,
        4.788981173307871,
        4.789000995574327,
        4.789020817840783,
        4.789040640107239,
        4.789060462373697,
        4.789080284640154,
        4.789100106906609,
        4.789119929173067,
        4.789139751439523,
        4.78915957370598,
        4.789179395972436,
        4.789199218238893,
        4.789219040505349,
        4.789238862771805,
        4.789258685038262,
        4.789278507304719,
        4.789298329571175,
        4.789318151837632,
        4.789337974104088,
        4.789357796370545,
        4.789377618637,
        4.789397440903458,
        4.789417263169915,
        4.789437085436371,
        4.789456907702827,
        4.789476729969284,
        4.7894965522357404,
        4.789516374502198,
        4.789536196768653,
        4.7895560190351105,
        4.789575841301566,
        4.789595663568023,
        4.789615485834481,
        4.789635308100936,
        4.789655130367394,
        4.789674952633849,
        4.7896947749003065,
        4.789714597166763,
        4.789734419433219,
        4.789754241699676,
        4.789774063966132,
        4.789793886232589,
        4.789813708499046,
        4.789833530765502,
        4.789853353031959,
        4.789873175298415,
        4.789892997564872,
        4.789912819831327,
        4.789932642097785,
        4.789952464364241,
        4.7899722866306975,
        4.789992108897154,
        4.790011931163611,
        4.790031753430067,
        4.790051575696524,
        4.79007139796298,
        4.790091220229437,
        4.790111042495893,
        4.79013086476235,
        4.790150687028807,
        4.790170509295263,
        4.79019033156172,
        4.790210153828176,
        4.790229976094634,
        4.790249798361089,
        4.790269620627546,
        4.790289442894003,
        4.790309265160459,
        4.790329087426915,
        4.790348909693373,
        4.790368731959829,
        4.790388554226285,
        4.790408376492741,
        4.790428198759199,
        4.790448021025654,
        4.790467843292111,
        4.790487665558568,
        4.790507487825025,
        4.7905273100914805,
        4.790547132357937,
        4.790566954624394,
        4.790586776890851,
        4.790606599157306,
        4.790626421423764,
        4.79064624369022,
        4.790666065956676,
        4.790685888223133,
        4.79070571048959,
        4.7907255327560465,
        4.790745355022502,
        4.79076517728896,
        4.791042689019351,
        4.791062511285808,
        4.791082333552264,
        4.79110215581872,
        4.791121978085178,
        4.7911418003516335,
        4.79116162261809,
        4.791181444884546,
        4.791201267151004,
        4.79122108941746,
        4.791240911683916,
        4.791260733950373,
        4.7912805562168295,
        4.791300378483286,
        4.79437282978405,
        4.797524570150641,
        4.797544392417097,
        4.797564214683555,
        4.79758403695001,
        4.797603859216467,
        4.797623681482924,
        4.797643503749381,
        4.797663326015837,
        4.797683148282293,
        4.797702970548751,
        4.797722792815206,
        4.797742615081663,
        4.797762437348119,
        4.797782259614577,
        4.7978020818810325,
        4.797821904147489,
        4.797841726413946,
        4.797861548680403,
        4.797881370946858,
        4.797901193213316,
        4.797921015479772,
        4.7979408377462285,
        4.797960660012684,
        4.797980482279142,
        4.798000304545599,
        4.798020126812054,
        4.798039949078511,
        4.798059771344968,
        4.798079593611424,
        4.798099415877881,
        4.798119238144337,
        4.7981390604107945,
        4.798158882677249,
        4.798178704943707,
        4.798198527210164,
        4.79821834947662,
        4.798238171743077,
        4.798257994009533,
        4.7982778162759905,
        4.798297638542445,
        4.798317460808903,
        4.79833728307536,
        4.798357105341816,
        4.798376927608272,
        4.798396749874729,
        4.7984165721411856,
        4.798436394407642,
        4.798456216674098,
        4.798476038940556,
        4.798495861207011,
        4.798515683473468,
        4.798535505739925,
        4.7985553280063815,
        4.798575150272838,
        4.798594972539294,
        4.798614794805751,
        4.798634617072208,
        4.798654439338663,
        4.798674261605121,
        4.798694083871577,
        4.798713906138034,
        4.79873372840449,
        4.798753550670947,
        4.798773372937404,
        4.79879319520386,
        4.798813017470317,
        4.7988328397367725,
        4.79885266200323,
        4.798872484269686,
        4.798892306536143,
        4.799011240134882,
        4.799031062401338,
        4.799050884667795,
        4.799070706934252,
        4.799090529200708,
        4.7991103514671645,
        4.799130173733621,
        4.799149996000077,
        4.7991698182665345,
        4.79918964053299,
        4.799209462799448,
        4.799229285065903,
        4.79924910733236,
        4.799268929598817,
        4.799288751865274,
        4.79930857413173,
        4.799328396398186,
        4.799348218664644,
        4.799368040931099,
        4.799387863197556,
        4.799407685464013,
        4.79942750773047,
        4.799447329996926,
        4.799467152263382,
        4.799486974529839,
        4.7995067967962965,
        4.7995266190627515,
        4.799546441329209,
        4.799566263595665,
        4.7995860858621215,
        4.799605908128578,
        4.799625730395035,
        4.799645552661492,
        4.799665374927947,
        4.799685197194404,
        4.799705019460862,
        4.799724841727317,
        4.799744663993774,
        4.79976448626023,
        4.799784308526688,
        4.799804130793143,
        4.7998239530596,
        4.799843775326057,
        4.799863597592513,
        4.79988341985897,
        4.799903242125427,
        4.7999230643918835,
        4.799942886658339,
        4.799962708924796,
        4.799982531191253,
        4.800002353457709,
        4.800022175724165,
        4.800041997990623,
        4.800061820257079,
        4.800081642523535,
        4.800101464789991,
        4.800121287056449,
        4.800141109322905,
        4.800160931589361,
        4.800180753855818,
        4.800200576122275,
        4.800220398388731,
        4.800240220655188,
        4.800260042921644,
        4.800279865188101,
        4.800299687454556,
        4.800319509721014,
        4.8003393319874705,
        4.800359154253927,
        4.800378976520383,
        4.80039879878684,
        4.800418621053296,
        4.800438443319753,
        4.80045826558621,
        4.8004780878526665,
        4.800497910119123,
        4.800517732385579,
        4.800537554652037,
        4.800557376918492,
        4.800577199184949,
        4.800597021451405,
        4.8006168437178625,
        4.800636665984318,
        4.800656488250775,
        4.800676310517232,
        4.800696132783688,
        4.800715955050145,
        4.800735777316601,
        4.8007555995830575,
        4.800775421849515,
        4.80079524411597,
        4.800815066382428,
        4.800834888648883,
        4.800854710915341,
        4.800874533181797,
        4.8008943554482535,
        4.80091417771471,
        4.800933999981167,
        4.800953822247623,
        4.80097364451408,
        4.800993466780536,
        4.801013289046993,
        4.8010331113134495,
        4.801052933579906,
        4.801072755846364,
        4.801092578112819,
        4.801112400379276,
        4.801132222645732,
        4.801152044912189,
        4.8011718671786445,
        4.801191689445102,
        4.801211511711559,
        4.801231333978015,
        4.801251156244471,
        4.801270978510928,
        4.801290800777384,
        4.801310623043841,
        4.801330445310297,
        4.801350267576755,
        4.80137008984321,
        4.801389912109667,
        4.801409734376124,
        4.801429556642581,
        4.8014493789090364,
        4.801469201175493,
        4.80148902344195,
        4.8015088457084065,
        4.801528667974862,
        4.80154849024132,
        4.801568312507776,
        4.801588134774232,
        4.80160795704069,
        4.801627779307146,
        4.801647601573603,
        4.801667423840058,
        4.801687246106516,
        4.801707068372973,
        4.801726890639428,
        4.801746712905885,
        4.801766535172342,
        4.8017863574387984,
        4.801806179705254,
        4.801826001971711,
        4.8018458242381685,
        4.801865646504623,
        4.801885468771081,
        4.801905291037537,
        4.801925113303994,
        4.80194493557045,
        4.801964757836907,
        4.801984580103364,
        4.802004402369819,
        4.802024224636276,
        4.802044046902734,
        4.8020638691691895,
        4.802083691435646,
        4.802103513702102,
        4.80212333596856,
        4.802143158235016,
        4.802162980501472,
        4.80218280276793,
        4.802202625034385,
        4.802222447300842,
        4.802242269567299,
        4.8022620918337555,
        4.802281914100212,
        4.802301736366668,
        4.802321558633125,
        4.802341380899582,
        4.802361203166037,
        4.802381025432495,
        4.802400847698951,
        4.802420669965408,
        4.802440492231863,
        4.802460314498321,
        4.802480136764777,
        4.802499959031234,
        4.802618892629973,
        4.802638714896429,
        4.802658537162886,
        4.8026783594293425,
        4.802698181695799,
        4.802718003962255,
        4.802737826228712,
        4.802757648495169,
        4.802777470761626,
        4.802797293028082,
        4.8028171152945385,
        4.802836937560995,
        4.802856759827452,
        4.8028765820939086,
        4.802896404360364,
        4.802916226626822,
        4.802936048893277,
        4.802955871159734,
        4.80297569342619,
        4.802995515692648,
        4.803015337959104,
        4.80303516022556,
        4.803054982492017,
        4.803074804758473,
        4.8030946270249295,
        4.803114449291387,
        4.803134271557843,
        4.8031540938243,
        4.803173916090755,
        4.803193738357213,
        4.80321356062367,
        4.8032333828901255,
        4.803253205156582,
        4.803273027423039,
        4.803292849689495,
        4.803312671955952,
        4.803332494222409,
        4.803352316488866,
        4.803372138755321,
        4.803391961021778,
        4.803411783288236,
        4.803431605554691,
        4.803451427821148,
        4.803471250087604,
        4.803491072354062,
        4.8035108946205165,
        4.803530716886974,
        4.803550539153431,
        4.8035703614198875,
        4.803590183686343,
        4.8036100059528,
        4.803629828219257,
        4.803649650485713,
        4.803669472752169,
        4.803689295018627,
        4.8037091172850825,
        4.803728939551539,
        4.803748761817996,
        4.803768584084453,
        4.803788406350908,
        4.803808228617365,
        4.803828050883822,
        4.803847873150279,
        4.803867695416734,
        4.803887517683192,
        4.803907339949649,
        4.803927162216105,
        4.803946984482562,
        4.803966806749018,
        4.803986629015475,
        4.80400645128193,
        4.804026273548388,
        4.8040460958148445,
        4.804065918081301,
        4.804085740347757,
        4.804105562614214,
        4.80412538488067,
        4.804145207147126,
        4.804165029413583,
        4.8041848516800405,
        4.804204673946496,
        4.804224496212953,
        4.804244318479409,
        4.804264140745866,
        4.804283963012323,
        4.804303785278779,
        4.804323607545236,
        4.804343429811692,
        4.804363252078148,
        4.804383074344606,
        4.8044028966110615,
        4.804422718877519,
        4.804442541143974,
        4.8044623634104315,
        4.804482185676889,
        4.804502007943344,
        4.804521830209802,
        4.804541652476257,
        4.804561474742715,
        4.804581297009171,
        4.8046011192756275,
        4.804620941542084,
        4.804640763808541,
        4.804660586074997,
        4.804680408341454,
        4.80470023060791,
        4.804720052874367,
        4.804739875140823,
        4.80475969740728,
        4.804779519673736,
        4.804799341940193,
        4.804819164206649,
        4.804838986473106,
        4.804858808739562,
        4.8048786310060185,
        4.804898453272475,
        4.804918275538933,
        4.804938097805388,
        4.804957920071845,
        4.804977742338301,
        4.804997564604759,
        4.805017386871215,
        4.805037209137671,
        4.805057031404129,
        4.805076853670584,
        4.805096675937041,
        4.805116498203498,
        4.805136320469955,
        4.8051561427364105,
        4.805175965002867,
        4.805195787269324,
        4.8052156095357805,
        4.805235431802236,
        4.805255254068694,
        4.80527507633515,
        4.805294898601606,
        4.805314720868062,
        4.80533454313452,
        4.8053543654009765,
        4.805374187667432,
        4.805394009933889,
        4.805413832200346,
        4.8054336544668015,
        4.805453476733259,
        4.805473298999715,
        4.8054931212661725,
        4.805512943532627,
        4.805532765799085,
        4.805552588065542,
        4.8055724103319974,
        4.805592232598455,
        4.805612054864911,
        4.805631877131368,
        4.805651699397824,
        4.805671521664281,
        4.805691343930738,
        4.805711166197194,
        4.80573098846365,
        4.805750810730108,
        4.8057706329965635,
        4.80579045526302,
        4.805810277529476,
        4.805830099795934,
        4.80584992206239,
        4.805869744328846,
        4.805889566595303,
        4.8059093888617594,
        4.805929211128215,
        4.805949033394672,
        4.805968855661129,
        4.805988677927586,
        4.806008500194041,
        4.806028322460499,
        4.8060481447269545,
        4.806067966993412,
        4.806087789259868,
        4.806107611526325,
        4.806246367391521,
        4.806266189657977,
        4.806286011924434,
        4.80630583419089,
        4.806325656457347,
        4.806345478723803,
        4.80636530099026,
        4.8063851232567165,
        4.806404945523173,
        4.80642476778963,
        4.806444590056086,
        4.806464412322542,
        4.806484234589,
        4.806504056855455,
        4.8065238791219125,
        4.806543701388368,
        4.806563523654826,
        4.806583345921281,
        4.806603168187738,
        4.806622990454195,
        4.806642812720651,
        4.8066626349871076,
        4.806682457253564,
        4.806702279520021,
        4.806722101786478,
        4.806741924052934,
        4.806761746319391,
        4.806781568585848,
        4.8068013908523035,
        4.806821213118761,
        4.806841035385217,
        4.806860857651674,
        4.806880679918129,
        4.806900502184587,
        4.806920324451044,
        4.8069401467174995,
        4.806959968983956,
        4.806979791250413,
        4.806999613516869,
        4.807019435783326,
        4.807039258049782,
        4.80705908031624,
        4.8070789025826945,
        4.807098724849152,
        4.807118547115608,
        4.8071383693820655,
        4.807158191648521,
        4.807178013914978,
        4.807197836181435,
        4.8072176584478905,
        4.807237480714347,
        4.807257302980805,
        4.807277125247261,
        4.807296947513717,
        4.807316769780174,
        4.807336592046631,
        4.807356414313087,
        4.807376236579543,
        4.807396058846001,
        4.8074158811124565,
        4.807435703378913,
        4.80745552564537,
        4.807475347911827,
        4.807495170178283,
        4.807514992444739,
        4.807534814711196,
        4.807554636977653,
        4.807574459244108,
        4.807594281510566,
        4.807614103777022,
        4.807633926043479,
        4.807653748309935,
        4.807673570576392,
        4.8076933928428485,
        4.807713215109304,
        4.807733037375761,
        4.807752859642218,
        4.807772681908674,
        4.807792504175131,
        4.807812326441587,
        4.807832148708044,
        4.8078519709745,
        4.807871793240957,
        4.8078916155074145,
        4.80791143777387,
        4.807931260040327,
        4.807951082306783,
        4.80797090457324,
        4.807990726839697,
        4.808010549106153,
        4.80803037137261,
        4.808188949504262,
        4.808208771770719,
        4.808228594037175,
        4.808248416303631,
        4.808268238570088,
        4.808288060836544,
        4.808307883103001,
        4.808327705369458,
        4.808347527635914,
        4.808367349902371,
        4.8083871721688265,
        4.808406994435284,
        4.80842681670174,
        4.808446638968197,
        4.808466461234654,
        4.80848628350111,
        4.808506105767567,
        4.808525928034023,
        4.80854575030048,
        4.808565572566937,
        4.8085853948333925,
        4.808605217099849,
        4.808625039366307,
        4.808644861632762,
        4.808664683899219,
        4.808684506165675,
        4.808704328432133,
        4.8087241506985885,
        4.808743972965045,
        4.808763795231502,
        4.808783617497958,
        4.808803439764414,
        4.808823262030872,
        4.808843084297328,
        4.8088629065637845,
        4.80888272883024,
        4.808902551096698,
        4.808922373363154,
        4.80894219562961,
        4.808962017896067,
        4.808981840162524,
        4.8090016624289795,
        4.809021484695436,
        4.809041306961894,
        4.8090611292283505,
        4.809080951494806,
        4.809100773761263,
        4.80912059602772,
        4.8091404182941755,
        4.809160240560633,
        4.809180062827089,
        4.8091998850935465,
        4.809219707360001,
        4.809239529626459,
        4.809259351892916,
        4.809279174159372,
        4.809298996425828,
        4.809318818692285,
        4.8093386409587415,
        4.809358463225198,
        4.809378285491654,
        4.809398107758112,
        4.809417930024567,
        4.809437752291024,
        4.809457574557481,
        4.8094773968239375,
        4.809497219090393,
        4.80951704135685,
        4.809536863623307,
        4.809556685889763,
        4.809576508156219,
        4.809596330422677,
        4.8096161526891335,
        4.809635974955589,
        4.809655797222046,
        4.809675619488503,
        4.80969544175496,
        4.809715264021415,
        4.809735086287873,
        4.809854019886611,
        4.809873842153068,
        4.809893664419525,
        4.809913486685981,
        4.809933308952438,
        4.809953131218894,
        4.809972953485351,
        4.809992775751808,
        4.810012598018264,
        4.8100324202847204,
        4.810052242551177,
        4.810072064817633,
        4.81009188708409,
        4.810111709350546,
        4.810131531617004,
        4.81015135388346,
        4.810171176149916,
        4.810190998416373,
        4.810210820682829,
        4.8102306429492865,
        4.810250465215742,
        4.8102702874822,
        4.810290109748655,
        4.810309932015112,
        4.810329754281569,
        4.810349576548025,
        4.810369398814482,
        4.810389221080938,
        4.810409043347395,
        4.810428865613852,
        4.810448687880307,
        4.810468510146765,
        4.810488332413221,
        4.8105081546796775,
        4.810527976946134,
        4.810547799212591,
        4.810567621479047,
        4.810587443745503,
        4.81060726601196,
        4.810627088278418,
        4.810646910544873,
        4.81066673281133,
        4.810686555077786,
        4.810706377344244,
        4.810726199610699,
        4.810746021877156,
        4.810765844143614,
        4.8107856664100686,
        4.810805488676526,
        4.810825310942982,
        4.8108451332094395,
        4.810864955475895,
        4.8109244222752645,
        4.810944244541721,
        4.810964066808179,
        4.810983889074635,
        4.811003711341091,
        4.811023533607547,
        4.811043355874005,
        4.8110631781404605,
        4.811083000406917,
        4.811102822673374,
        4.8111226449398306,
        4.811142467206286,
        4.811162289472744,
        4.8114001566702225,
        4.811419978936679,
        4.811439801203135,
        4.811459623469592,
        4.811479445736048,
        4.811499268002505,
        4.811519090268961,
        4.811538912535418,
        4.811558734801874,
        4.811578557068331,
        4.811598379334788,
        4.811618201601244,
        4.8116380238677,
        4.8118164242658095,
        4.811836246532266,
        4.811856068798722,
        4.8118758910651795,
        4.811895713331635,
        4.811915535598093,
        4.811935357864549,
        4.811955180131005,
        4.811975002397462,
        4.811994824663918,
        4.812014646930375,
        4.81221286959494,
        4.812232691861397,
        4.812252514127853,
        4.812272336394311,
        4.812292158660766,
        4.812311980927223,
        4.81381847317792,
        4.815443899027358,
        4.815463721293813,
        4.815483543560271,
        4.815780877557118,
        4.8158006998235745,
        4.815820522090031,
        4.815840344356489,
        4.815860166622945,
        4.815879988889401,
        4.815899811155858,
        4.815919633422314,
        4.815939455688771,
        4.815959277955227,
        4.815979100221685,
        4.81599892248814,
        4.816018744754597,
        4.816038567021053,
        4.81605838928751,
        4.816078211553966,
        4.816098033820423,
        4.81611785608688,
        4.816137678353336,
        4.816157500619792,
        4.81617732288625,
        4.816197145152706,
        4.816216967419162,
        4.816236789685618,
        4.816256611952076,
        4.816276434218532,
        4.816296256484988,
        4.816316078751445,
        4.816335901017902,
        4.8163557232843575,
        4.816375545550815,
        4.816395367817271,
        4.8164151900837275,
        4.816435012350184,
        4.816454834616641,
        4.8164746568830985,
        4.816494479149553,
        4.816514301416011,
        4.816534123682467,
        4.816553945948924,
        4.81657376821538,
        4.816593590481837,
        4.816613412748294,
        4.816633235014749,
        4.816653057281206,
        4.816672879547663,
        4.8166927018141195,
        4.816712524080576,
        4.816732346347032,
        4.8167521686134895,
        4.8167719908799445,
        4.817069324876793,
        4.817089147143251,
        4.817108969409707,
        4.817128791676163,
        4.81714861394262,
        4.8171684362090765,
        4.817188258475533,
        4.817208080741989,
        4.817227903008446,
        4.817247725274903,
        4.817267547541359,
        4.817287369807816,
        4.817307192074272,
        4.817327014340729,
        4.817346836607185,
        4.817366658873642,
        4.817386481140098,
        4.817406303406555,
        4.817426125673011,
        4.8174459479394685,
        4.817465770205924,
        4.817485592472381,
        4.817505414738837,
        4.817525237005294,
        4.817545059271751,
        4.817564881538207,
        4.817584703804664,
        4.81760452607112,
        4.817624348337578,
        4.817644170604034,
        4.81766399287049,
        4.817683815136947,
        4.817703637403403,
        4.8177234596698595,
        4.817743281936317,
        4.817763104202773,
        4.81778292646923,
        4.817802748735685,
        4.817822571002143,
        4.817842393268598,
        4.8178622155350554,
        4.817882037801512,
        4.817901860067969,
        4.817921682334425,
        4.817941504600881,
        4.817961326867338,
        4.817981149133796,
        4.8180009714002505,
        4.818020793666708,
        4.818040615933164,
        4.818060438199621,
        4.818080260466077,
        4.818100082732534,
        4.818119904998991,
        4.8181397272654465,
        4.818159549531904,
        4.818179371798361,
        4.818199194064817,
        4.818219016331273,
        4.81823883859773,
        4.818258660864187,
        4.818278483130643,
        4.818298305397099,
        4.818318127663557,
        4.8183379499300125,
        4.818357772196469,
        4.818377594462926,
        4.818397416729383,
        4.8211527117668425,
        4.824066584935954,
        4.82408640720241,
        4.8241062294688675,
        4.824126051735323,
        4.82414587400178,
        4.824165696268237,
        4.824185518534693,
        4.824205340801149,
        4.824225163067607,
        4.8242449853340625,
        4.824264807600519,
        4.824284629866975,
        4.824304452133433,
        4.824324274399889,
        4.824344096666345,
        4.824363918932802,
        4.8243837411992585,
        4.824403563465714,
        4.824423385732171,
        4.824443207998629,
        4.824463030265085,
        4.824482852531541,
        4.824502674797998,
        4.8245224970644545,
        4.824542319330911,
        4.824562141597368,
        4.824581963863824,
        4.824601786130281,
        4.824621608396736,
        4.824641430663194,
        4.82466125292965,
        4.824681075196107,
        4.824700897462563,
        4.82472071972902,
        4.824740541995476,
        4.824760364261934,
        4.824780186528389,
        4.824800008794846,
        4.824819831061302,
        4.824839653327759,
        4.824859475594216,
        4.824879297860672,
        4.824899120127129,
        4.824918942393585,
        4.8249387646600415,
        4.824958586926498,
        4.824978409192954,
        4.8249982314594115,
        4.825018053725868,
        4.825037875992325,
        4.825057698258781,
        4.825077520525237,
        4.825097342791695,
        4.82511716505815,
        4.8251369873246075,
        4.825156809591063,
        4.825176631857521,
        4.825196454123977,
        4.825216276390433,
        4.82523609865689,
        4.825255920923347,
        4.825275743189803,
        4.82529556545626,
        4.825315387722716,
        4.825335209989173,
        4.8253550322556285,
        4.825374854522086,
        4.825394676788543,
        4.8254144990549985,
        4.825434321321455,
        4.825454143587912,
        4.825473965854369,
        4.825493788120825,
        4.825513610387281,
        4.825533432653739,
        4.825553254920194,
        4.825573077186651,
        4.825592899453108,
        4.825612721719565,
        4.825632543986021,
        4.825652366252477,
        4.825672188518935,
        4.82569201078539,
        4.825711833051847,
        4.825731655318304,
        4.8257514775847605,
        4.825771299851216,
        4.825791122117673,
        4.82581094438413,
        4.825830766650586,
        4.825850588917042,
        4.8258704111835,
        4.825890233449956,
        4.825910055716412,
        4.825929877982869,
        4.825949700249326,
        4.825969522515782,
        4.826187567446804,
        4.826207389713261,
        4.826227211979717,
        4.826247034246174,
        4.82626685651263,
        4.826286678779087,
        4.8263065010455435,
        4.826326323312,
        4.826346145578456,
        4.826365967844914,
        4.826385790111369,
        4.826405612377826,
        4.826425434644282,
        4.8264452569107394,
        4.826465079177196,
        4.826484901443652,
        4.826504723710109,
        4.826524545976565,
        4.826544368243021,
        4.826564190509479,
        4.8265840127759345,
        4.826603835042392,
        4.826623657308847,
        4.826643479575305,
        4.826663301841761,
        4.826683124108218,
        4.826702946374675,
        4.8267227686411305,
        4.826742590907588,
        4.826762413174043,
        4.826782235440501,
        4.826802057706957,
        4.826821879973414,
        4.82684170223987,
        4.826861524506326,
        4.826881346772783,
        4.826901169039241,
        4.826920991305696,
        4.826940813572153,
        4.826960635838609,
        4.826980458105066,
        4.827000280371522,
        4.827020102637979,
        4.827039924904436,
        4.827059747170892,
        4.827079569437348,
        4.827099391703806,
        4.827119213970261,
        4.827139036236718,
        4.827158858503174,
        4.827178680769632,
        4.8271985030360876,
        4.827218325302544,
        4.827238147569001,
        4.827257969835457,
        4.827277792101914,
        4.827297614368371,
        4.827317436634828,
        4.8273372589012835,
        4.82735708116774,
        4.827376903434197,
        4.827396725700654,
        4.827416547967109,
        4.827436370233567,
        4.827456192500023,
        4.8274760147664795,
        4.827495837032935,
        4.827515659299393,
        4.8275354815658496,
        4.827555303832305,
        4.827575126098762,
        4.827594948365219,
        4.827614770631675,
        4.827634592898132,
        4.827654415164588,
        4.8276742374310455,
        4.8276940596975,
        4.827713881963958,
        4.827733704230415,
        4.827753526496871,
        4.827773348763327,
        4.827793171029784,
        4.827812993296241,
        4.827832815562697,
        4.827852637829154,
        4.827872460095611,
        4.827892282362067,
        4.827912104628523,
        4.82793192689498,
        4.8279517491614365,
        4.827971571427893,
        4.827991393694349,
        4.828011215960807,
        4.828031038227262,
        4.828050860493719,
        4.828070682760176,
        4.8280905050266325,
        4.828110327293089,
        4.828130149559545,
        4.828149971826002,
        4.828169794092459,
        4.828189616358914,
        4.828209438625372,
        4.828229260891828,
        4.828249083158285,
        4.828268905424741,
        4.828288727691198,
        4.828308549957654,
        4.828328372224111,
        4.828348194490567,
        4.828368016757024,
        4.82838783902348,
        4.828407661289937,
        4.828427483556394,
        4.82844730582285,
        4.828467128089308,
        4.828486950355763,
        4.82850677262222,
        4.828526594888676,
        4.828546417155133,
        4.828566239421589,
        4.828586061688046,
        4.828605883954503,
        4.828625706220959,
        4.8286455284874155,
        4.828665350753872,
        4.828685173020328,
        4.8287049952867855,
        4.828724817553241,
        4.828744639819699,
        4.828764462086154,
        4.828784284352611,
        4.828804106619068,
        4.828823928885525,
        4.828843751151981,
        4.828863573418437,
        4.828883395684894,
        4.828903217951351,
        4.8289230402178065,
        4.828942862484264,
        4.82896268475072,
        4.828982507017177,
        4.829002329283634,
        4.82902215155009,
        4.8290419738165475,
        4.8290617960830025,
        4.82908161834946,
        4.829101440615917,
        4.8291212628823725,
        4.829141085148829,
        4.829160907415286,
        4.829180729681743,
        4.829200551948198,
        4.829220374214655,
        4.829240196481113,
        4.829260018747568,
        4.829279841014025,
        4.829299663280481,
        4.829319485546939,
        4.829339307813394,
        4.829359130079851,
        4.829378952346308,
        4.829398774612764,
        4.82941859687922,
        4.829438419145678,
        4.829458241412134,
        4.82947806367859,
        4.829497885945046,
        4.829517708211504,
        4.82953753047796,
        4.829557352744416,
        4.829577175010874,
        4.829854686741265,
        4.8298745090077215,
        4.829894331274178,
        4.829914153540634,
        4.829933975807091,
        4.829953798073547,
        4.829973620340004,
        4.82999344260646,
        4.8300132648729175,
        4.830033087139373,
        4.83005290940583,
        4.830072731672287,
        4.830092553938743,
        4.830112376205199,
        4.830132198471656,
        4.8301520207381134,
        4.83017184300457,
        4.830191665271026,
        4.830211487537483,
        4.830231309803939,
        4.830251132070396,
        4.830270954336852,
        4.8302907766033085,
        4.830310598869766,
        4.830330421136221,
        4.830350243402679,
        4.830370065669134,
        4.830389887935592,
        4.830409710202048,
        4.8304295324685045,
        4.830449354734961,
        4.830469177001417,
        4.830488999267874,
        4.830508821534331,
        4.830528643800787,
        4.830548466067244,
        4.8305682883336996,
        4.830588110600157,
        4.830607932866614,
        4.83062775513307,
        4.830647577399526,
        4.830667399665983,
        4.830687221932439,
        4.830707044198896,
        4.830726866465353,
        4.83074668873181,
        4.830766510998266,
        4.830786333264722,
        4.83080615553118,
        4.830825977797635,
        4.830845800064092,
        4.830865622330548,
        4.830885444597006,
        4.830905266863461,
        4.830925089129918,
        4.830944911396375,
        4.830964733662832,
        4.830984555929287,
        4.831004378195744,
        4.831024200462201,
        4.8310440227286575,
        4.831063844995113,
        4.831083667261571,
        4.831103489528027,
        4.831123311794483,
        4.83114313406094,
        4.831162956327397,
        4.831182778593853,
        4.831202600860309,
        4.831222423126766,
        4.8312422453932236,
        4.831262067659679,
        4.831281889926136,
        4.831301712192593,
        4.831321534459049,
        4.831341356725506,
        4.831361178991962,
        4.8313810012584195,
        4.831400823524874,
        4.831420645791332,
        4.831440468057789,
        4.831460290324245,
        4.831480112590701,
        4.831499934857158,
        4.831519757123615,
        4.83153957939007,
        4.831559401656527,
        4.831579223922985,
        4.8315990461894405,
        4.831618868455897,
        4.831638690722353,
        4.8316585129888105,
        4.831678335255267,
        4.831698157521723,
        4.83171797978818,
        4.831737802054636,
        4.831757624321092,
        4.83177744658755,
        4.831797268854006,
        4.831817091120463,
        4.831836913386919,
        4.831856735653376,
        4.831876557919833,
        4.831896380186288,
        4.831916202452746,
        4.831936024719202,
        4.831955846985659,
        4.831975669252115,
        4.831995491518572,
        4.832015313785028,
        4.832035136051485,
        4.832054958317941,
        4.8320747805843975,
        4.832094602850854,
        4.832114425117311,
        4.832134247383767,
        4.832154069650224,
        4.83217389191668,
        4.832193714183137,
        4.8322135364495935,
        4.83223335871605,
        4.832253180982506,
        4.832273003248963,
        4.832292825515419,
        4.832312647781877,
        4.832332470048332,
        4.8323522923147895,
        4.832372114581245,
        4.832391936847703,
        4.8324117591141595,
        4.832431581380615,
        4.832451403647073,
        4.832471225913528,
        4.832491048179985,
        4.832510870446442,
        4.832530692712899,
        4.832550514979355,
        4.832570337245811,
        4.832590159512268,
        4.832609981778726,
        4.8326298040451805,
        4.832649626311638,
        4.832669448578094,
        4.832689270844551,
        4.832709093111006,
        4.832728915377464,
        4.83274873764392,
        4.8327685599103765,
        4.832788382176833,
        4.83280820444329,
        4.832828026709746,
        4.832847848976203,
        4.832867671242659,
        4.832887493509117,
        4.8329073157755715,
        4.832927138042029,
        4.832946960308486,
        4.832966782574942,
        4.832986604841399,
        4.833006427107855,
        4.833026249374313,
        4.833046071640768,
        4.833065893907225,
        4.833085716173682,
        4.8331055384401385,
        4.833125360706594,
        4.833145182973052,
        4.833165005239508,
        4.8335218060357255,
        4.833541628302181,
        4.833561450568639,
        4.8335812728350955,
        4.833601095101552,
        4.833620917368008,
        4.833640739634465,
        4.833660561900921,
        4.833680384167378,
        4.833700206433834,
        4.8337200287002915,
        4.833739850966747,
        4.833759673233204,
        4.833779495499661,
        4.833799317766117,
        4.833819140032574,
        4.83383896229903,
        4.833858784565487,
        4.833878606831943,
        4.833898429098399,
        4.833918251364857,
        4.8339380736313124,
        4.83395789589777,
        4.833977718164225,
        4.8339975404306825,
        4.834017362697139,
        4.834037184963596,
        4.834057007230052,
        4.834076829496508,
        4.834235407628161,
        4.834255229894618,
        4.834275052161074,
        4.834294874427531,
        4.834314696693988,
        4.834334518960444,
        4.8343543412269,
        4.834374163493357,
        4.834393985759813,
        4.83441380802627,
        4.834433630292726,
        4.834453452559184,
        4.834473274825639,
        4.834493097092096,
        4.834512919358552,
        4.83453274162501,
        4.8345525638914655,
        4.834572386157922,
        4.834592208424379,
        4.834612030690835,
        4.834631852957291,
        4.834651675223749,
        4.834671497490205,
        4.834691319756661,
        4.834711142023118,
        4.834730964289575,
        4.8347507865560315,
        4.834770608822487,
        4.834790431088945,
        4.834810253355401,
        4.834830075621857,
        4.834849897888314,
        4.834869720154771,
        4.8348895424212275,
        4.834909364687683,
        4.83492918695414,
        4.834949009220598,
        4.8349688314870525,
        4.83498865375351,
        4.835008476019966,
        4.835028298286423,
        4.835048120552878,
        4.835067942819336,
        4.835087765085793,
        4.835107587352248,
        4.835127409618705,
        4.835147231885162,
        4.8351670541516185,
        4.835186876418075,
        4.835206698684531,
        4.835226520950989,
        4.835246343217444,
        4.835266165483901,
        4.835285987750359,
        4.8353058100168145,
        4.835325632283271,
        4.835345454549727,
        4.8353652768161846,
        4.835385099082641,
        4.835404921349097,
        4.835424743615554,
        4.83544456588201,
        4.835464388148466,
        4.835484210414924,
        4.83550403268138,
        4.835523854947837,
        4.835543677214292,
        4.83556349948075,
        4.835583321747206,
        4.835603144013663,
        4.835622966280119,
        4.835642788546576,
        4.835662610813032,
        4.835682433079488,
        4.835702255345945,
        4.835722077612402,
        4.835741899878858,
        4.835761722145315,
        4.835781544411771,
        4.835801366678228,
        4.835821188944684,
        4.835841011211141,
        4.835860833477598,
        4.835880655744054,
        4.835900478010511,
        4.8359203002769675,
        4.835940122543424,
        4.835959944809881,
        4.835979767076337,
        4.835999589342793,
        4.836019411609251,
        4.836039233875706,
        4.8360590561421635,
        4.836078878408619,
        4.836098700675077,
        4.836118522941533,
        4.836138345207989,
        4.836158167474446,
        4.836177989740902,
        4.8361978120073585,
        4.836217634273816,
        4.836237456540272,
        4.836257278806729,
        4.836277101073184,
        4.836296923339642,
        4.836316745606098,
        4.8363365678725545,
        4.836356390139011,
        4.836376212405468,
        4.836396034671925,
        4.83641585693838,
        4.836435679204838,
        4.836455501471295,
        4.8364753237377505,
        4.836495146004207,
        4.836514968270664,
        4.83653479053712,
        4.836554612803577,
        4.836574435070033,
        4.836594257336491,
        4.8366140796029455,
        4.836633901869403,
        4.83665372413586,
        4.8366735464023165,
        4.836693368668772,
        4.836713190935229,
        4.836733013201686,
        4.836752835468142,
        4.836772657734598,
        4.837149280797273,
        4.83716910306373,
        4.837188925330186,
        4.837208747596643,
        4.8372285698630995,
        4.837248392129555,
        4.837268214396012,
        4.8372880366624695,
        4.837307858928925,
        4.837327681195382,
        4.837347503461838,
        4.837367325728295,
        4.837387147994752,
        4.837406970261208,
        4.837426792527665,
        4.837446614794121,
        4.837466437060577,
        4.837486259327034,
        4.8375060815934905,
        4.837525903859948,
        4.837545726126404,
        4.837565548392861,
        4.837585370659317,
        4.837605192925773,
        4.837625015192231,
        4.8376448374586865,
        4.837664659725144,
        4.837684481991599,
        4.8377043042580565,
        4.837724126524513,
        4.83774394879097,
        4.837763771057426,
        4.837783593323882,
        4.837803415590339,
        4.837823237856796,
        4.837843060123252,
        4.837862882389709,
        4.837882704656165,
        4.837902526922622,
        4.837922349189078,
        4.837942171455535,
        4.837961993721991,
        4.837981815988448,
        4.838001638254904,
        4.838021460521362,
        4.838041282787817,
        4.838061105054274,
        4.83808092732073,
        4.838100749587188,
        4.8381205718536435,
        4.8381403941201,
        4.838160216386558,
        4.838180038653013,
        4.83819986091947,
        4.838219683185926,
        4.838239505452384,
        4.8382593277188395,
        4.838279149985296,
        4.838298972251753,
        4.838318794518209,
        4.838338616784665,
        4.838358439051123,
        4.838378261317579,
        4.8383980835840354,
        4.838417905850491,
        4.838437728116949,
        4.838457550383405,
        4.838477372649861,
        4.838497194916318,
        4.838517017182775,
        4.8385368394492305,
        4.838556661715688,
        4.838576483982144,
        4.8385963062486015,
        4.838616128515056,
        4.838635950781514,
        4.83865577304797,
        4.8386755953144265,
        4.838695417580884,
        4.83871523984734,
        4.8387350621137974,
        4.838754884380252,
        4.83877470664671,
        4.838794528913167,
        4.838814351179623,
        4.838834173446079,
        4.838853995712536,
        4.8388738179789925,
        4.838893640245449,
        4.838913462511905,
        4.838933284778363,
        4.838953107044818,
        4.838972929311275,
        4.838992751577732,
        4.8390125738441885,
        4.839032396110644,
        4.839052218377101,
        4.839072040643558,
        4.839091862910015,
        4.83911168517647,
        4.839131507442928,
        4.8391513297093836,
        4.83917115197584,
        4.839190974242296,
        4.839210796508754,
        4.83923061877521,
        4.839250441041666,
        4.839270263308124,
        4.8392900855745795,
        4.839309907841037,
        4.839329730107493,
        4.83934955237395,
        4.839369374640406,
        4.839389196906862,
        4.839409019173319,
        4.839428841439776,
        4.839448663706232,
        4.839468485972689,
        4.839488308239145,
        4.839508130505602,
        4.839527952772059,
        4.839547775038515,
        4.839567597304971,
        4.839587419571428,
        4.839607241837884,
        4.8396270641043415,
        4.839646886370797,
        4.839666708637255,
        4.83968653090371,
        4.839706353170167,
        4.839726175436624,
        4.83974599770308,
        4.839765819969537,
        4.839785642235993,
        4.83980546450245,
        4.839825286768906,
        4.839845109035363,
        4.83986493130182,
        4.839884753568276,
        4.8399045758347325,
        4.839924398101189,
        4.839944220367646,
        4.839964042634103,
        4.839983864900558,
        4.840003687167016,
        4.840023509433472,
        4.8400433316999285,
        4.840063153966385,
        4.840082976232842,
        4.840102798499298,
        4.840122620765754,
        4.840142443032211,
        4.840162265298669,
        4.840182087565124,
        4.840201909831581,
        4.840221732098037,
        4.8402415543644945,
        4.84026137663095,
        4.840281198897407,
        4.840301021163864,
        4.8403208434303195,
        4.840766844425592,
        4.84141106808543,
        4.841430890351887,
        4.841450712618343,
        4.8414705348848,
        4.8414903571512555,
        4.841510179417713,
        4.84153000168417,
        4.841549823950626,
        4.841569646217083,
        4.841589468483539,
        4.841609290749996,
        4.8416291130164515,
        4.841648935282909,
        4.841668757549366,
        4.841688579815822,
        4.841708402082278,
        4.841728224348735,
        4.841748046615191,
        4.841767868881648,
        4.841787691148104,
        4.841807513414562,
        4.841827335681017,
        4.841847157947474,
        4.841866980213931,
        4.841886802480387,
        4.841906624746843,
        4.8419264470133,
        4.841946269279757,
        4.8419660915462135,
        4.841985913812669,
        4.842005736079127,
        4.842025558345582,
        4.842045380612039,
        4.842065202878496,
        4.842085025144953,
        4.8421048474114095,
        4.842124669677865,
        4.842144491944323,
        4.8421643142107795,
        4.842184136477235,
        4.842203958743692,
        4.842223781010149,
        4.8422436032766045,
        4.842263425543061,
        4.842283247809518,
        4.8423030700759755,
        4.84232289234243,
        4.842828360137074,
        4.843571695129194,
        4.84359151739565,
        4.8436113396621066,
        4.843631161928562,
        4.84365098419502,
        4.843670806461476,
        4.843690628727932,
        4.843710450994389,
        4.843730273260846,
        4.843750095527302,
        4.843769917793759,
        4.843789740060215,
        4.843809562326673,
        4.843829384593128,
        4.843849206859585,
        4.843869029126043,
        4.846436012632164,
        4.849280507868679,
        4.849300330135135,
        4.849320152401591,
        4.849339974668047,
        4.849359796934505,
        4.84937961920096,
        4.849399441467417,
        4.849478730533243,
        4.8494985527997,
        4.849518375066157,
        4.849538197332613,
        4.84955801959907,
        4.849577841865527,
        4.8495976641319825,
        4.84961748639844,
        4.849637308664896,
        4.8496571309313525,
        4.849676953197808,
        4.849696775464266,
        4.849716597730723,
        4.849736419997178,
        4.849756242263635,
        4.849776064530092,
        4.8497958867965485,
        4.849815709063005,
        4.849835531329461,
        4.849855353595919,
        4.8498751758623735,
        4.849894998128831,
        4.849914820395287,
        4.8499346426617445,
        4.8499544649282,
        4.849974287194657,
        4.849994109461114,
        4.85001393172757,
        4.850033753994026,
        4.850053576260484,
        4.8500733985269395,
        4.850093220793396,
        4.850113043059853,
        4.85013286532631,
        4.850152687592767,
        4.850172509859222,
        4.85019233212568,
        4.8502121543921355,
        4.850231976658592,
        4.850251798925049,
        4.850271621191506,
        4.850291443457962,
        4.850311265724418,
        4.850331087990875,
        4.850350910257332,
        4.850370732523787,
        4.850390554790245,
        4.850410377056701,
        4.850430199323158,
        4.850450021589614,
        4.850469843856071,
        4.850489666122527,
        4.850509488388984,
        4.85052931065544,
        4.850549132921897,
        4.850568955188353,
        4.85058877745481,
        4.850668066520636,
        4.8506878887870934,
        4.850707711053549,
        4.850727533320007,
        4.850747355586462,
        4.850767177852919,
        4.850787000119376,
        4.850806822385832,
        4.8508266446522885,
        4.850846466918745,
        4.850866289185202,
        4.850886111451659,
        4.850905933718114,
        4.850925755984572,
        4.850945578251027,
        4.8509654005174845,
        4.850985222783941,
        4.851005045050398,
        4.851024867316854,
        4.85104468958331,
        4.851064511849767,
        4.851084334116223,
        4.8511041563826796,
        4.851123978649137,
        4.851143800915593,
        4.85116362318205,
        4.851183445448505,
        4.851203267714963,
        4.85122308998142,
        4.851361845846615,
        4.851817757975115,
        4.851837580241573,
        4.851857402508029,
        4.851877224774485,
        4.851897047040942,
        4.851916869307399,
        4.851936691573855,
        4.851956513840312,
        4.851976336106768,
        4.851996158373225,
        4.85201598063968,
        4.852095269705507,
        4.852115091971964,
        4.8521349142384205,
        4.852154736504878,
        4.852174558771333,
        4.8521943810377905,
        4.852214203304246,
        4.852234025570703,
        4.85225384783716,
        4.852273670103616,
        4.852293492370073,
        4.852313314636529,
        4.852333136902986,
        4.852352959169442,
        4.852372781435899,
        4.852392603702356,
        4.852412425968812,
        4.852432248235269,
        4.852452070501725,
        4.852471892768182,
        4.852491715034639,
        4.852511537301094,
        4.852531359567552,
        4.8525511818340075,
        4.852571004100465,
        4.852590826366921,
        4.8526106486333775,
        4.852630470899834,
        4.852650293166291,
        4.852670115432747,
        4.852689937699204,
        4.85270975996566,
        4.852729582232117,
        4.852749404498573,
        4.85276922676503,
        4.852789049031487,
        4.852868338097313,
        4.852888160363769,
        4.852907982630225,
        4.852927804896683,
        4.852947627163139,
        4.852967449429595,
        4.852987271696052,
        4.853007093962509,
        4.853086383028334,
        4.853106205294791,
        4.853126027561248,
        4.853145849827705,
        4.8531656720941605,
        4.853185494360617,
        4.853235050026759,
        4.853760340087858,
        4.8537801623543135,
        4.85379998462077,
        4.853819806887226,
        4.853839629153684,
        4.85385945142014,
        4.853938740485965,
        4.853958562752423,
        4.854037851818249,
        4.8540576740847055,
        4.854077496351162,
        4.854097318617619,
        4.854117140884075,
        4.854136963150532,
        4.854156785416987,
        4.854176607683445,
        4.854196429949901,
        4.854216252216358,
        4.854236074482814,
        4.85431536354864,
        4.854335185815097,
        4.854355008081553,
        4.85437483034801,
        4.854394652614467,
        4.854414474880923,
        4.85443429714738,
        4.854454119413836,
        4.8544739416802924,
        4.85449376394675,
        4.854513586213205,
        4.8545334084796625,
        4.854553230746118,
        4.854632519811945,
        4.854652342078402,
        4.8546721643448585,
        4.854691986611314,
        4.854711808877772,
        4.854731631144228,
        4.854751453410684,
        4.854810920210053,
        4.854830742476511,
        4.854850564742967,
        4.854870387009424,
        4.855385765937293,
        4.855405588203751,
        4.855425410470207,
        4.855445232736663,
        4.85546505500312,
        4.855484877269577,
        4.855504699536033,
        4.855524521802489,
        4.855544344068946,
        4.855564166335403,
        4.855583988601858,
        4.855603810868316,
        4.855623633134772,
        4.855643455401229,
        4.855663277667685,
        4.855683099934142,
        4.8557029222005985,
        4.855722744467054,
        4.855742566733511,
        4.855762388999969,
        4.855782211266424,
        4.855802033532881,
        4.855821855799338,
        4.8558416780657945,
        4.855861500332252,
        4.855881322598707,
        4.8559011448651646,
        4.85592096713162,
        4.855940789398077,
        4.855960611664533,
        4.85598043393099,
        4.856000256197447,
        4.856020078463903,
        4.85603990073036,
        4.856059722996816,
        4.856079545263272,
        4.85609936752973,
        4.8561191897961855,
        4.856139012062643,
        4.856158834329098,
        4.856178656595556,
        4.856198478862012,
        4.856218301128469,
        4.856238123394925,
        4.8562579456613815,
        4.856277767927838,
        4.856297590194295,
        4.856317412460751,
        4.856337234727208,
        4.856357056993664,
        4.856376879260121,
        4.856396701526578,
        4.856416523793034,
        4.856436346059491,
        4.856456168325947,
        4.856475990592404,
        4.85649581285886,
        4.856515635125317,
        4.856535457391773,
        4.85655527965823,
        4.856575101924687,
        4.856594924191143,
        4.856614746457599,
        4.856634568724057,
        4.856654390990512,
        4.856674213256969,
        4.856694035523425,
        4.856713857789883,
        4.8567336800563385,
        4.856753502322795,
        4.856773324589252,
        4.856793146855708,
        4.856812969122164,
        4.856832791388622,
        4.856852613655078,
        4.8568724359215345,
        4.85689225818799,
        4.856912080454448,
        4.8569319027209055,
        4.85695172498736,
        4.856971547253818,
        4.856991369520274,
        4.8570111917867305,
        4.857031014053186,
        4.857050836319644,
        4.8570706585861005,
        4.857090480852556,
        4.857110303119013,
        4.85713012538547,
        4.8571499476519255,
        4.857169769918383,
        4.857189592184839,
        4.8572094144512965,
        4.857229236717751,
        4.857249058984209,
        4.857268881250666,
        4.857288703517122,
        4.857308525783578,
        4.857328348050035,
        4.857348170316492,
        4.857367992582948,
        4.857387814849404,
        4.857447281648774,
        4.857467103915231,
        4.8574869261816875,
        4.857506748448144,
        4.8575265707146,
        4.857546392981058,
        4.857566215247514,
        4.85758603751397,
        4.857605859780427,
        4.8576256820468835,
        4.85764550431334,
        4.857665326579796,
        4.857685148846253,
        4.85770497111271,
        4.857724793379165,
        4.857744615645623,
        4.857764437912079,
        4.857784260178536,
        4.857804082444992,
        4.857823904711449,
        4.857843726977905,
        4.857863549244361,
        4.857883371510818,
        4.857903193777275,
        4.857923016043731,
        4.857942838310188,
        4.857962660576644,
        4.857982482843101,
        4.858002305109558,
        4.858022127376014,
        4.8580419496424705,
        4.858061771908927,
        4.858081594175384,
        4.858101416441841,
        4.858121238708297,
        4.858141060974754,
        4.85816088324121,
        4.8581807055076665,
        4.858200527774124,
        4.858220350040579,
        4.8582401723070365,
        4.858259994573492,
        4.85827981683995,
        4.858299639106405,
        4.858319461372862,
        4.858339283639319,
        4.858359105905776,
        4.858378928172232,
        4.858398750438688,
        4.858418572705145,
        4.858438394971602,
        4.8584582172380575,
        4.858478039504515,
        4.858497861770971,
        4.858517684037428,
        4.858547417437112,
        4.859013240698841,
        4.859033062965297,
        4.859052885231755,
        4.859072707498211,
        4.859092529764667,
        4.859112352031124,
        4.859132174297581,
        4.859211463363407,
        4.859231285629863,
        4.85931057469569,
        4.859330396962146,
        4.859350219228603,
        4.859370041495059,
        4.859389863761516,
        4.8594096860279725,
        4.859429508294428,
        4.859449330560885,
        4.859469152827342,
        4.859488975093798,
        4.859508797360255,
        4.859528619626711,
        4.8595484418931685,
        4.859568264159624,
        4.859588086426081,
        4.859607908692538,
        4.859627730958994,
        4.85964755322545,
        4.859667375491907,
        4.8596871977583636,
        4.859707020024821,
        4.859786309090647,
        4.859806131357104,
        4.8598259536235595,
        4.859845775890017,
        4.859865598156472,
        4.85988542042293,
        4.859905242689386,
        4.859925064955843,
        4.859944887222299,
        4.8599647094887555,
        4.859984531755212,
        4.860063820821038,
        4.860083643087495,
        4.8601034653539505,
        4.860123287620408,
        4.860143109886864,
        4.860162932153321,
        4.860182754419777,
        4.860202576686234,
        4.86022239895269,
        4.860242221219147,
        4.860262043485603,
        4.86034133255143,
        4.860361154817886,
        4.860380977084343,
        4.860400799350799,
        4.860420621617257,
        4.8604404438837125,
        4.860460266150169,
        4.860480088416626,
        4.860499910683083,
        4.860519732949538,
        4.860539555215996,
        4.860559377482452,
        4.8605791997489085,
        4.860599022015364,
        4.860618844281822,
        4.860638666548278,
        4.860658488814734,
        4.860678311081191,
        4.860698133347648,
        4.8607179556141045,
        4.86073777788056,
        4.860757600147017,
        4.8607774224134745,
        4.8607972446799295,
        4.860817066946387,
        4.860836889212843,
        4.8608567114793,
        4.860876533745756,
        4.860896356012213,
        4.86091617827867,
        4.860936000545125,
        4.860955822811583,
        4.86097564507804,
        4.860995467344496,
        4.861015289610952,
        4.861035111877409,
        4.861054934143866,
        4.861074756410322,
        4.861094578676778,
        4.861114400943236,
        4.8611342232096915,
        4.861154045476148,
        4.861173867742605,
        4.8611936900090615,
        4.861213512275518,
        4.861233334541974,
        4.861253156808431,
        4.861272979074887,
        4.861292801341343,
        4.861312623607801,
        4.861332445874257,
        4.861352268140714,
        4.861372090407169,
        4.861391912673627,
        4.861411734940083,
        4.86143155720654,
        4.861451379472996,
        4.861471201739453,
        4.861550490805279,
        4.861570313071736,
        4.861590135338192,
        4.861609957604649,
        4.861629779871105,
        4.861649602137562,
        4.861669424404018,
        4.861689246670475,
        4.861709068936932,
        4.861728891203388,
        4.8617487134698445,
        4.861768535736301,
        4.861788358002757,
        4.861808180269214,
        4.86182800253567,
        4.861847824802128,
        4.861867647068583,
        4.8618874693350405,
        4.861907291601496,
        4.861927113867954,
        4.86194693613441,
        4.861966758400866,
        4.861986580667323,
        4.862006402933779,
        4.8620262252002355,
        4.862046047466693,
        4.86206586973315,
        4.862085691999606,
        4.862105514266062,
        4.862125336532519,
        4.862145158798976,
        4.862155069932204,
        4.8626407154603895,
        4.862660537726845,
        4.862680359993303,
        4.862799293592041,
        4.862819115858498,
        4.862838938124955,
        4.86285876039141,
        4.862878582657868,
        4.862898404924324,
        4.862918227190781,
        4.862938049457236,
        4.862957871723694,
        4.862977693990151,
        4.862997516256607,
        4.863017338523063,
        4.86303716078952,
        4.8630569830559764,
        4.863076805322432,
        4.863096627588889,
        4.8631164498553465,
        4.863136272121802,
        4.863156094388259,
        4.863175916654715,
        4.863195738921172,
        4.863215561187629,
        4.863235383454085,
        4.8632552057205425,
        4.863275027986998,
        4.863294850253455,
        4.863314672519912,
        4.863334494786368,
        4.863354317052825,
        4.863374139319281,
        4.863393961585738,
        4.863413783852195,
        4.86343360611865,
        4.863453428385108,
        4.863473250651563,
        4.863493072918021,
        4.863512895184477,
        4.8635327174509335,
        4.86355253971739,
        4.863631828783216,
        4.863651651049673,
        4.863671473316129,
        4.863691295582586,
        4.863711117849042,
        4.863730940115499,
        4.863750762381955,
        4.863770584648412,
        4.863790406914869,
        4.8638102291813246,
        4.863830051447782,
        4.863849873714239,
        4.863869695980695,
        4.863889518247151,
        4.863909340513608,
        4.863929162780064,
        4.863988629579435,
        4.86400845184589,
        4.864028274112347,
        4.864048096378804,
        4.864067918645261,
        4.8640877409117165,
        4.864107563178173,
        4.86412738544463,
        4.864147207711086,
        4.864167029977542,
        4.864186852244,
        4.864206674510456,
        4.864226496776912,
        4.864246319043368,
        4.864266141309826,
        4.864285963576282,
        4.864305785842738,
        4.864325608109195,
        4.864345430375652,
        4.864365252642108,
        4.864385074908565,
        4.864404897175022,
        4.8644247194414785,
        4.864444541707934,
        4.864464363974391,
        4.8644841862408486,
        4.8645040085073035,
        4.864523830773761,
        4.864543653040217,
        4.864563475306674,
        4.86458329757313,
        4.864603119839587,
        4.864622942106044,
        4.864642764372499,
        4.864662586638956,
        4.864682408905414,
        4.8647022311718695,
        4.864722053438326,
        4.864741875704782,
        4.86476169797124,
        4.864781520237696,
        4.864801342504152,
        4.864880631569978,
        4.864900453836435,
        4.864920276102892,
        4.864940098369348,
        4.864959920635805,
        4.864979742902261,
        4.864999565168717,
        4.865019387435175,
        4.865039209701631,
        4.865059031968088,
        4.865078854234543,
        4.865098676501001,
        4.865118498767457,
        4.865138321033914,
        4.86515814330037,
        4.865177965566827,
        4.865197787833283,
        4.86521761009974,
        4.865237432366196,
        4.865257254632653,
        4.865277076899109,
        4.865296899165566,
        4.8653167214320225,
        4.865336543698479,
        4.865356365964935,
        4.865376188231392,
        4.865396010497848,
        4.865415832764305,
        4.865435655030761,
        4.8654554772972185,
        4.865713166761153,
        4.8657329890276095,
        4.865752811294067,
        4.865772633560523,
        4.86579245582698,
        4.865812278093435,
        4.865832100359893,
        4.865851922626349,
        4.8658717448928055,
        4.866288012488393,
        4.866307834754849,
        4.866327657021307,
        4.866347479287763,
        4.866367301554219,
        4.866387123820676,
        4.866406946087133,
        4.8664267683535885,
        4.866446590620045,
        4.866466412886502,
        4.866486235152959,
        4.866506057419414,
        4.866525879685872,
        4.866545701952328,
        4.866565524218784,
        4.86658534648524,
        4.866605168751698,
        4.866882680482089,
        4.866902502748546,
        4.866922325015003,
        4.866942147281459,
        4.866961969547916,
        4.866981791814372,
        4.867001614080828,
        4.867021436347286,
        4.8670412586137415,
        4.867061080880199,
        4.867080903146654,
        4.867100725413112,
        4.867120547679568,
        4.867140369946024,
        4.867160192212481,
        4.8671800144789374,
        4.867199836745395,
        4.86721965901185,
        4.8672394812783075,
        4.867259303544764,
        4.86727912581122,
        4.867298948077677,
        4.867318770344133,
        4.86733859261059,
        4.867358414877047,
        4.867378237143503,
        4.86739805940996,
        4.867417881676416,
        4.867437703942873,
        4.867516993008699,
        4.867536815275155,
        4.867556637541613,
        4.867576459808068,
        4.867596282074525,
        4.867616104340981,
        4.867635926607439,
        4.8676557488738945,
        4.867675571140351,
        4.867695393406808,
        4.867715215673264,
        4.86773503793972,
        4.867754860206177,
        4.867774682472635,
        4.8677945047390905,
        4.867814327005547,
        4.867834149272004,
        4.86785397153846,
        4.867873793804916,
        4.867893616071374,
        4.86791343833783,
        4.867933260604286,
        4.867953082870742,
        4.8679729051372,
        4.867992727403656,
        4.868012549670112,
        4.868032371936569,
        4.868052194203026,
        4.8680720164694815,
        4.868091838735939,
        4.868111661002395
    ],
    "flux": [
        1.04418,
        1.04406,
        1.04395,
        1.04383,
        1.04264,
        1.03518,
        1.03578,
        1.03165,
        1.02566,
        1.02835,
        1.0445,
        1.0207,
        1.02947,
        1.00738,
        1.00858,
        1.03644,
        1.01595,
        1.04354,
        1.00732,
        1.04566,
        1.04196,
        0.950383,
        0.97261,
        0.996916,
        0.988418,
        0.987274,
        0.994395,
        0.99769,
        1.00828,
        1.01856,
        1.01277,
        1.00032,
        0.98867,
        0.981263,
        0.977174,
        0.976497,
        0.969863,
        0.96891,
        0.985013,
        1.01854,
        0.996351,
        0.98042,
        0.973944,
        0.973974,
        0.97476,
        0.970528,
        0.983704,
        0.986305,
        0.981508,
        0.975073,
        0.974664,
        0.989911,
        0.986181,
        0.991711,
        0.996873,
        1.00133,
        1.00672,
        0.996207,
        0.993817,
        0.988934,
        0.989954,
        0.994233,
        0.993867,
        1.01132,
        1.00368,
        1.00351,
        0.998527,
        0.995706,
        1.01989,
        0.998371,
        1.01116,
        1.01189,
        1.01127,
        1.01569,
        0.996374,
        1.00719,
        1.01342,
        1.01952,
        1.01784,
        1.00475,
        0.998964,
        1.00548,
        1.00596,
        1.00928,
        1.01381,
        1.00994,
        0.983206,
        0.986268,
        1.01696,
        1.02073,
        1.00547,
        1.01502,
        0.999528,
        1.00549,
        1.00647,
        1.00284,
        1.0009,
        1.00508,
        0.985543,
        1.01037,
        1.02077,
        1.02329,
        1.0251,
        1.01593,
        1.02059,
        1.01521,
        1.01045,
        1.00319,
        0.991489,
        0.985173,
        0.968064,
        0.990272,
        0.996029,
        0.985637,
        0.984777,
        0.988904,
        1.00289,
        1.02251,
        1.01304,
        0.99265,
        1.0061,
        1.02597,
        1.01786,
        1.01038,
        1.0111,
        1.01285,
        1.00088,
        0.993973,
        1.00485,
        0.997336,
        0.998527,
        1.01292,
        1.01392,
        1.02261,
        1.02378,
        1.02253,
        1.02451,
        1.03112,
        1.03669,
        1.02,
        1.03327,
        1.03859,
        1.03348,
        1.02942,
        1.03966,
        1.03453,
        1.03882,
        1.0391,
        1.04016,
        1.04967,
        1.05886,
        1.03861,
        1.04576,
        1.04402,
        1.03585,
        1.04609,
        1.0773,
        1.07494,
        1.06844,
        1.06222,
        1.06031,
        1.06604,
        1.07195,
        1.0668,
        1.06822,
        1.06802,
        1.06175,
        1.05751,
        1.08954,
        1.07836,
        1.05967,
        1.05244,
        1.06004,
        1.06866,
        1.04913,
        1.07987,
        1.09381,
        1.09044,
        1.0817,
        1.06889,
        1.07328,
        1.06612,
        1.05549,
        1.03128,
        0.952844,
        0.737942,
        0.565328,
        0.698065,
        0.884815,
        1.01419,
        1.06699,
        1.08318,
        1.07887,
        1.0753,
        1.07438,
        1.06927,
        1.05979,
        1.08789,
        1.09407,
        1.08228,
        1.05727,
        1.03881,
        1.05172,
        1.11074,
        1.06073,
        1.08241,
        1.10161,
        1.09059,
        1.06569,
        1.09728,
        1.08614,
        1.07279,
        1.0724,
        1.0797,
        1.07252,
        1.06352,
        1.05448,
        1.05854,
        1.07131,
        1.08102,
        1.07397,
        1.06256,
        1.06921,
        1.07508,
        1.07159,
        1.06313,
        1.06946,
        1.07313,
        1.06165,
        1.04912,
        1.04392,
        1.05416,
        1.09081,
        1.06953,
        1.05991,
        1.05162,
        1.04379,
        1.04187,
        1.05417,
        1.03587,
        1.03639,
        1.03693,
        1.03636,
        1.03883,
        1.0319,
        1.03762,
        1.04626,
        1.05438,
        1.05706,
        1.04941,
        1.02845,
        1.04725,
        1.05773,
        1.05682,
        1.04881,
        1.04169,
        1.05079,
        1.06517,
        1.06097,
        1.05326,
        1.05914,
        1.08274,
        1.08808,
        1.05934,
        1.04803,
        1.0526,
        1.05709,
        1.04607,
        1.04669,
        1.04665,
        1.05428,
        1.06478,
        1.07015,
        1.06506,
        1.07157,
        1.07791,
        1.06876,
        1.06882,
        1.08382,
        1.0928,
        1.09747,
        1.08995,
        1.09938,
        1.10072,
        1.09255,
        1.10811,
        1.10611,
        1.09276,
        1.10365,
        1.11679,
        1.11629,
        1.11239,
        1.12492,
        1.13883,
        1.13381,
        1.12986,
        1.13266,
        1.11728,
        1.13974,
        1.13499,
        1.12778,
        1.12935,
        1.14222,
        1.15991,
        1.16011,
        1.15582,
        1.15362,
        1.15644,
        1.16183,
        1.16096,
        1.17288,
        1.16197,
        1.15829,
        1.15807,
        1.15207,
        1.14437,
        1.18036,
        1.17268,
        1.16742,
        1.16876,
        1.16523,
        1.14944,
        1.17496,
        1.16801,
        1.16856,
        1.16996,
        1.16245,
        1.16999,
        1.20626,
        1.1992,
        1.19474,
        1.20501,
        1.21756,
        1.2059,
        1.20819,
        1.20558,
        1.199,
        1.19458,
        1.19534,
        1.19343,
        1.21284,
        1.22463,
        1.21993,
        1.21618,
        1.22646,
        1.22508,
        1.21715,
        1.21565,
        1.22853,
        1.23599,
        1.22547,
        1.23343,
        1.22915,
        1.23819,
        1.24216,
        1.23719,
        1.23197,
        1.24748,
        1.23542,
        1.22899,
        1.23341,
        1.23715,
        1.22964,
        1.22307,
        1.23281,
        1.22244,
        1.22153,
        1.22405,
        1.21395,
        1.19567,
        1.20056,
        1.21492,
        1.217,
        1.21435,
        1.21577,
        1.19806,
        1.1976,
        1.18903,
        1.19935,
        1.21192,
        1.20438,
        1.19864,
        1.19824,
        1.19347,
        1.20183,
        1.21232,
        1.2073,
        1.18678,
        1.19947,
        1.21622,
        1.21963,
        1.21448,
        1.21185,
        1.21198,
        1.19626,
        1.18496,
        1.19509,
        1.20103,
        1.1827,
        1.17715,
        1.18382,
        1.18022,
        1.18154,
        1.18452,
        1.1836,
        1.18705,
        1.1834,
        1.17821,
        1.17076,
        1.17028,
        1.17969,
        1.18085,
        1.17039,
        1.16254,
        1.1639,
        1.17115,
        1.17431,
        1.1593,
        1.15255,
        1.15441,
        1.15659,
        1.15335,
        1.14655,
        1.14832,
        1.14522,
        1.13757,
        1.14632,
        1.14924,
        1.13537,
        1.14095,
        1.1448,
        1.1336,
        1.12275,
        1.11671,
        1.11625,
        1.12069,
        1.11112,
        1.09023,
        1.09156,
        1.09196,
        1.08193,
        1.0954,
        1.10327,
        1.11284,
        1.11181,
        1.10656,
        1.10279,
        1.09847,
        1.09281,
        1.10484,
        1.11684,
        1.11204,
        1.09642,
        1.09829,
        1.09841,
        1.08697,
        1.09777,
        1.10412,
        1.09802,
        1.10323,
        1.09225,
        1.08618,
        1.07611,
        1.07729,
        1.08532,
        1.07693,
        1.06888,
        1.06084,
        1.06898,
        1.08007,
        1.08499,
        1.08365,
        1.07512,
        1.05849,
        1.06601,
        1.06366,
        1.05339,
        1.06427,
        1.07089,
        1.063,
        1.05738,
        1.06507,
        1.07061,
        1.05435,
        1.06108,
        1.04292,
        1.04481,
        1.05057,
        1.04803,
        1.03939,
        1.04986,
        1.06275,
        1.05305,
        1.02941,
        1.02215,
        1.04578,
        1.04065,
        1.0316,
        1.03481,
        1.03327,
        1.03605,
        1.05529,
        1.07399,
        1.0409,
        1.04158,
        1.04482,
        1.04648,
        1.04787,
        1.03512,
        1.05048,
        1.03461,
        1.03576,
        1.05056,
        1.0565,
        1.03961,
        1.05045,
        1.04508,
        1.04466,
        1.04884,
        1.05534,
        1.067,
        1.04874,
        1.0427,
        1.05531,
        1.06661,
        1.06787,
        1.07259,
        1.0723,
        1.05549,
        1.04875,
        1.06195,
        1.07589,
        1.0578,
        1.05534,
        1.0697,
        1.06407,
        1.05334,
        1.04739,
        1.04486,
        1.06214,
        1.07526,
        1.07087,
        1.06619,
        1.06706,
        1.0677,
        1.06702,
        1.06318,
        1.05875,
        1.05939,
        1.06674,
        1.07463,
        1.06232,
        1.06709,
        1.06606,
        1.06702,
        1.06618,
        1.05843,
        1.05164,
        1.05273,
        1.05035,
        1.04831,
        1.05607,
        1.07153,
        1.06813,
        1.04947,
        1.03396,
        1.03575,
        1.0447,
        1.04413,
        1.02581,
        1.04349,
        1.04234,
        1.02527,
        1.02412,
        1.04329,
        1.04595,
        1.03029,
        1.02629,
        1.05529,
        1.06828,
        1.05573,
        1.05739,
        1.06337,
        1.0568,
        1.0484,
        1.04936,
        1.05454,
        1.04704,
        1.02041,
        1.02808,
        0.920879,
        0.737041,
        0.599909,
        0.636322,
        0.864578,
        0.98674,
        1.04458,
        1.05754,
        1.06089,
        1.07811,
        1.08932,
        1.07039,
        1.06679,
        1.00844,
        1.03799,
        1.03624,
        1.03153,
        1.04484,
        1.0603,
        1.08137,
        1.06585,
        1.04551,
        1.04132,
        1.05391,
        1.06621,
        1.06181,
        1.05879,
        1.06965,
        1.06771,
        1.05936,
        1.05967,
        1.04113,
        1.0319,
        1.03811,
        1.04065,
        1.03941,
        1.03907,
        1.03382,
        1.05623,
        1.04703,
        1.04925,
        1.05148,
        1.04449,
        1.0504,
        1.05514,
        1.07377,
        1.05541,
        1.04202,
        1.05399,
        1.0631,
        1.07221,
        1.05434,
        1.06614,
        1.06444,
        1.0515,
        1.06645,
        1.06982,
        1.06416,
        1.05385,
        1.05098,
        1.05831,
        1.07158,
        1.08645,
        1.06488,
        1.0761,
        1.07637,
        1.07243,
        1.08052,
        1.07907,
        1.06345,
        1.07147,
        1.07289,
        1.06705,
        1.06415,
        1.07185,
        1.06653,
        1.08169,
        1.06403,
        1.05647,
        1.07155,
        1.07189,
        1.06647,
        1.07017,
        1.07198,
        1.06735,
        1.06946,
        1.0866,
        1.06525,
        1.07145,
        1.05985,
        1.05767,
        1.06537,
        1.06563,
        1.04494,
        1.04713,
        1.03211,
        1.04731,
        1.05733,
        1.03558,
        1.02701,
        1.04856,
        1.05051,
        1.05725,
        1.05967,
        1.04655,
        1.01854,
        0.993658,
        1.00694,
        1.01932,
        1.03154,
        1.04312,
        1.04483,
        1.01732,
        1.02084,
        1.00852,
        1.00352,
        1.00145,
        0.992598,
        1.00393,
        0.991879,
        0.997752,
        1.00508,
        1.00644,
        1.00958,
        1.03507,
        1.02101,
        1.01474,
        1.00961,
        1.00367,
        1.00091,
        1.00833,
        1.01569,
        1.03296,
        1.02333,
        1.01359,
        1.01645,
        1.02432,
        1.03222,
        1.03709,
        1.03544,
        0.986226,
        0.997654,
        1.00212,
        1.00437,
        1.01136,
        1.00762,
        1.00689,
        1.0073,
        1.00562,
        1.00695,
        1.0078,
        1.01289,
        1.01555,
        1.01771,
        1.01746,
        1.01883,
        1.01903,
        1.02096,
        1.02563,
        1.02458,
        1.0151,
        1.0125,
        1.02164,
        1.02588,
        1.01689,
        1.01273,
        1.01006,
        1.00336,
        1.01003,
        1.01423,
        1.01614,
        1.01277,
        1.01079,
        1.0144,
        1.01407,
        0.996901,
        0.995516,
        1.00041,
        1.01198,
        1.00753,
        0.991345,
        0.983838,
        0.990425,
        0.994782,
        0.99339,
        0.976357,
        0.963125,
        1.01831,
        0.978728,
        0.956445,
        0.975657,
        0.991326,
        0.982739,
        0.972298,
        0.965201,
        0.959253,
        0.966049,
        0.992947,
        0.982601,
        0.974436,
        0.991892,
        0.990228,
        0.986508,
        0.99818,
        1.0011,
        0.989737,
        0.989713,
        0.988448,
        0.98472,
        0.992081,
        0.995837,
        1.0011,
        0.99005,
        0.984746,
        0.994514,
        1.00866,
        0.996429,
        0.991083,
        0.982989,
        0.983508,
        0.993757,
        0.981167,
        0.986124,
        0.990511,
        0.991776,
        0.985441,
        0.978742,
        0.978273,
        0.986695,
        0.991211,
        0.99456,
        0.993513,
        0.998576,
        0.993897,
        0.992831,
        0.981806,
        0.974607,
        0.978253,
        0.981444,
        0.984962,
        0.984506,
        0.982465,
        0.978877,
        0.976519,
        0.982317,
        0.996598,
        0.997523,
        0.992531,
        0.999486,
        1.00384,
        0.986305,
        0.986109,
        0.992688,
        0.995178,
        0.991028,
        0.993249,
        1.00016,
        1.00486,
        0.990064,
        0.981523,
        0.992689,
        0.981495,
        0.975616,
        0.981988,
        0.991326,
        0.991568,
        0.982862,
        0.963624,
        0.987832,
        1.00144,
        0.99257,
        0.983425,
        0.998456,
        0.997787,
        0.996345,
        0.991105,
        0.987075,
        0.977591,
        0.972181,
        0.981631,
        0.98822,
        0.984505,
        0.974746,
        0.970121,
        0.973234,
        0.967465,
        0.981824,
        0.971367,
        0.978427,
        0.980694,
        0.976463,
        0.987118,
        0.981767,
        0.978217,
        0.979327,
        0.977699,
        0.977164,
        0.993701,
        0.995705,
        0.97299,
        0.968429,
        0.975701,
        0.98544,
        0.980668,
        0.970206,
        0.980862,
        0.99294,
        0.993526,
        0.988442,
        0.980569,
        0.985296,
        0.965591,
        0.975958,
        0.980254,
        0.977183,
        0.976125,
        0.982802,
        0.991742,
        0.983115,
        0.976245,
        0.980599,
        0.988727,
        0.988057,
        0.992067,
        0.997821,
        0.995295,
        0.99024,
        0.976398,
        0.979797,
        0.981144,
        0.978332,
        0.958483,
        0.952334,
        0.965651,
        0.97712,
        0.97575,
        0.963503,
        0.961822,
        0.970075,
        0.973843,
        0.971811,
        0.968204,
        0.968567,
        0.967154,
        0.971506,
        0.972033,
        0.961585,
        0.964218,
        0.971174,
        0.971658,
        0.981059,
        0.975024,
        0.968867,
        0.969807,
        0.964293,
        0.980253,
        0.974693,
        0.982887,
        0.98386,
        0.984606,
        1.00054,
        0.991684,
        0.988701,
        0.987709,
        0.982188,
        0.97387,
        0.975735,
        0.986297,
        0.990234,
        0.988264,
        0.986048,
        0.993244,
        0.988327,
        0.994138,
        0.987865,
        0.987316,
        0.990483,
        0.981412,
        0.986022,
        0.992913,
        1.00041,
        0.999646,
        0.997288,
        0.996713,
        1.00306,
        0.999744,
        1.0053,
        0.997383,
        0.994603,
        0.994293,
        0.99246,
        0.996026,
        0.99218,
        0.994783,
        0.985093,
        0.98196,
        0.994877,
        0.988176,
        0.986196,
        0.992201,
        0.991298,
        0.990131,
        0.994519,
        0.990644,
        0.989125,
        0.996551,
        1.00268,
        1.01956,
        1.00834,
        0.993003,
        0.998703,
        1.00307,
        0.998523,
        0.995308,
        1.00892,
        1.01048,
        1.01411,
        1.01036,
        1.00264,
        1.00374,
        1.0028,
        1.00111,
        1.00614,
        1.00306,
        0.99556,
        0.992501,
        1.00075,
        1.00502,
        0.997769,
        0.993447,
        1.00396,
        1.00627,
        0.996459,
        0.994944,
        0.993096,
        0.990193,
        0.991823,
        1.00288,
        1.01411,
        1.01143,
        0.988779,
        1.00333,
        0.999485,
        0.999388,
        1.00404,
        1.01643,
        1.01411,
        1.00608,
        1.0088,
        1.01384,
        1.01602,
        1.01658,
        1.01843,
        1.02227,
        1.02725,
        1.02512,
        1.02079,
        1.01979,
        1.02215,
        1.00371,
        1.01302,
        1.02424,
        1.02485,
        1.02246,
        1.02529,
        1.03157,
        1.0242,
        1.01746,
        1.01345,
        1.01165,
        1.0095,
        1.00848,
        1.01706,
        1.02775,
        1.01291,
        1.01853,
        1.0214,
        1.01306,
        1.00918,
        1.00806,
        1.01587,
        1.02994,
        1.02635,
        1.01843,
        1.01992,
        1.00832,
        1.00716,
        1.00244,
        1.00858,
        1.01629,
        1.01895,
        1.01423,
        1.01197,
        1.01053,
        1.00099,
        1.00023,
        1.00967,
        1.0213,
        1.03472,
        1.02016,
        1.01155,
        1.0127,
        1.01713,
        1.01602,
        1.02036,
        1.00143,
        1.00282,
        1.00764,
        1.01058,
        1.01339,
        1.0223,
        1.02312,
        1.02362,
        1.02285,
        1.01851,
        1.01714,
        1.02746,
        1.02496,
        1.02124,
        1.03139,
        1.03676,
        1.03485,
        1.02994,
        1.03233,
        1.02991,
        1.02353,
        1.03131,
        1.03429,
        1.03288,
        1.02638,
        1.0192,
        1.01946,
        1.02279,
        1.02692,
        1.02109,
        1.01033,
        1.01429,
        1.01689,
        0.99905,
        0.99854,
        1.00764,
        1.01026,
        1.0097,
        1.01184,
        1.01819,
        1.00595,
        0.992836,
        0.987428,
        0.98028,
        0.990828,
        0.985781,
        0.985662,
        0.992133,
        0.988766,
        0.991107,
        0.99698,
        0.984169,
        0.98071,
        0.980123,
        0.986754,
        0.989385,
        0.983475,
        0.985338,
        0.983155,
        0.98853,
        0.992639,
        0.992695,
        0.989969,
        1.00106,
        1.00515,
        0.988047,
        0.987134,
        0.982409,
        0.980352,
        0.988149,
        0.996977,
        0.985603,
        0.979787,
        0.984844,
        0.987082,
        0.978921,
        0.982758,
        0.998127,
        0.992426,
        0.977884,
        0.984948,
        0.996632,
        0.986626,
        0.966645,
        0.977553,
        0.986578,
        0.99159,
        0.99516,
        0.98358,
        0.973434,
        0.967811,
        0.969546,
        0.970767,
        0.977885,
        0.977354,
        0.982736,
        0.973066,
        0.967652,
        0.971267,
        0.97468,
        0.964962,
        0.974807,
        0.955817,
        0.949719,
        0.967137,
        0.985031,
        0.986255,
        0.974304,
        0.974011,
        0.987253,
        0.986903,
        0.972623,
        0.958269,
        0.960928,
        0.982307,
        0.976002,
        0.963675,
        0.963802,
        0.974797,
        0.983343,
        0.984044,
        0.998423,
        0.994285,
        0.996079,
        0.998526,
        0.998267,
        1.0059,
        1.01223,
        0.989721,
        0.981174,
        0.995165,
        1.00789,
        1.00016,
        1.01686,
        1.00814,
        0.992466,
        0.994768,
        1.00008,
        0.994251,
        0.986907,
        0.98766,
        0.996689,
        0.999217,
        0.997567,
        0.995255,
        0.992204,
        0.983216,
        1.00046,
        0.99332,
        0.989383,
        0.992926,
        0.996774,
        0.998543,
        1.00994,
        1.02258,
        1.01828,
        1.00538,
        0.997596,
        1.00002,
        0.988893,
        0.995855,
        1.01373,
        1.02406,
        1.02051,
        1.00847,
        1.00094,
        1.00809,
        1.01353,
        1.00273,
        0.994262,
        0.987332,
        0.970944,
        1.00473,
        1.02852,
        1.01186,
        0.996796,
        0.996627,
        1.00371,
        1.00723,
        0.991035,
        0.960647,
        0.976758,
        1.01277,
        1.03653,
        1.03989,
        1.03567,
        1.02463,
        1.02271,
        1.03319,
        1.03325,
        1.01423,
        1.02021,
        1.03716,
        1.02504,
        1.01064,
        1.00443,
        1.01122,
        1.02803,
        1.02165,
        1.02252,
        1.01408,
        1.01145,
        1.01733,
        1.02285,
        1.0166,
        1.0337,
        1.03575,
        1.02747,
        1.01776,
        1.01972,
        1.03951,
        1.04518,
        1.02939,
        1.03562,
        1.03574,
        1.02857,
        1.02373,
        1.01982,
        1.02029,
        1.02141,
        1.01875,
        1.01526,
        1.02048,
        1.03766,
        1.02405,
        1.01972,
        1.01209,
        1.00835,
        1.01382,
        1.02204,
        1.01117,
        1.0132,
        1.01098,
        1.0125,
        1.00797,
        1.00405,
        1.0116,
        0.997388,
        0.977422,
        0.968564,
        0.97333,
        0.97706,
        0.973926,
        0.977498,
        0.98408,
        0.980374,
        0.971935,
        0.989052,
        0.983622,
        0.998315,
        1.00086,
        1.01594,
        1.02721,
        1.01003,
        1.00455,
        1.00022,
        0.99667,
        1.00731,
        1.02137,
        1.0243,
        1.0137,
        1.01007,
        1.01217,
        1.01569,
        1.02025,
        1.02518,
        1.03018,
        1.03674,
        1.05074,
        1.06611,
        1.0498,
        0.973096,
        0.894941,
        0.92659,
        1.06559,
        1.0656,
        1.06427,
        1.05903,
        1.06236,
        1.07544,
        1.06556,
        1.06873,
        1.07484,
        1.06958,
        1.05531,
        1.04976,
        1.06433,
        1.05554,
        1.06486,
        1.06819,
        1.06936,
        1.06083,
        1.05074,
        1.06544,
        1.05493,
        1.037,
        1.03001,
        1.01042,
        0.989749,
        0.998595,
        1.047,
        1.03879,
        1.0513,
        1.05196,
        1.04847,
        1.04233,
        1.02389,
        1.01956,
        1.02838,
        1.03379,
        1.03431,
        0.957668,
        0.785161,
        0.644785,
        0.644663,
        0.694567,
        0.809738,
        0.921394,
        0.995061,
        1.03566,
        1.04364,
        1.0614,
        1.07475,
        1.07829,
        1.06238,
        1.04077,
        1.04718,
        1.04455,
        1.0457,
        1.0412,
        1.01121,
        0.991689,
        1.00058,
        0.959933,
        0.979509,
        1.0839,
        1.0947,
        1.08074,
        1.08175,
        1.06233,
        1.02454,
        1.07571,
        1.09324,
        1.0532,
        1.04983,
        1.07602,
        1.07503,
        1.05175,
        1.02883,
        1.02404,
        1.03403,
        1.04611,
        1.05103,
        1.04755,
        1.04315,
        1.06938,
        1.06291,
        1.03536,
        1.02192,
        1.03098,
        1.0253,
        1.01028,
        1.01584,
        1.02668,
        1.0288,
        1.02569,
        1.0225,
        1.00627,
        1.02866,
        1.02347,
        1.01716,
        1.02798,
        1.03742,
        1.01463,
        1.00745,
        1.00705,
        1.01861,
        1.02966,
        1.025,
        1.01215,
        1.01995,
        1.01399,
        1.0084,
        1.01334,
        1.02024,
        1.02094,
        1.01575,
        1.01748,
        1.03692,
        1.02162,
        1.01701,
        1.01947,
        1.01985,
        1.0211,
        1.04443,
        1.03668,
        1.03068,
        1.02155,
        1.00882,
        1.00194,
        1.01156,
        1.00438,
        1.01797,
        0.995441,
        0.98048,
        0.981873,
        0.993262,
        1.02043,
        1.02799,
        0.999088,
        0.993623,
        1.00106,
        1.00823,
        1.01194,
        1.01165,
        1.00811,
        1.01445,
        1.0102,
        1.01357,
        1.02181,
        1.00962,
        0.996586,
        1.00328,
        1.02081,
        1.01906,
        1.0133,
        1.00805,
        0.976775,
        0.983444,
        0.983557,
        0.985169,
        0.994811,
        1.00291,
        0.986887,
        0.986884,
        0.993297,
        0.988353,
        0.986156,
        0.980818,
        0.980173,
        0.983046,
        0.999013,
        0.971754,
        0.918042,
        0.940186,
        0.971679,
        0.976678,
        0.978696,
        0.982493,
        0.989294,
        0.976083,
        0.98472,
        0.993682,
        0.98461,
        0.984612,
        0.972419,
        0.975427,
        0.980046,
        0.976018,
        0.96467,
        0.961766,
        0.966092,
        0.964355,
        0.959789,
        0.98489,
        0.983178,
        0.962972,
        0.970118,
        0.97113,
        0.986232,
        0.98307,
        0.982321,
        0.971362,
        0.979832,
        0.984948,
        0.975829,
        0.982083,
        0.981536,
        0.973544,
        0.975644,
        0.989154,
        0.975807,
        0.979182,
        0.991211,
        0.988597,
        0.993965,
        0.995559,
        0.999226,
        0.995567,
        0.997402,
        0.985462,
        0.979118,
        0.978353,
        0.991157,
        1.00273,
        0.987917,
        0.974231,
        0.976984,
        0.981922,
        0.978325,
        0.987604,
        0.992849,
        0.980331,
        0.986293,
        0.99053,
        0.989605,
        0.982503,
        0.981915,
        0.984684,
        0.980119,
        0.988698,
        0.989932,
        0.99533,
        0.999282,
        0.983066,
        0.994292,
        0.992863,
        0.990088,
        1.00037,
        1.00215,
        0.986395,
        0.977849,
        0.992502,
        0.988721,
        0.989235,
        0.997739,
        1.00326,
        1.00899,
        1.01488,
        1.01063,
        0.99811,
        1.00168,
        0.992684,
        0.990721,
        0.989722,
        0.983653,
        0.982661,
        0.987432,
        0.981217,
        0.979883,
        0.980966,
        0.987967,
        1.00249,
        0.999713,
        0.989426,
        0.984314,
        0.984919,
        0.972115,
        0.966717,
        0.972803,
        0.952667,
        0.949316,
        0.973054,
        0.972926,
        0.969612,
        0.973996,
        0.977372,
        0.960936,
        0.968994,
        0.947284,
        0.958053,
        0.981176,
        0.981278,
        0.962403,
        0.96853,
        0.957869,
        0.961943,
        0.957857,
        0.955994,
        0.967247,
        0.959765,
        0.965986,
        0.931726,
        0.936786,
        0.940173,
        0.957591,
        0.990676,
        0.952339,
        0.949415,
        0.969848,
        0.971192,
        0.974215,
        0.979545,
        0.978932,
        0.977108,
        0.985068,
        0.982597,
        0.980037,
        0.98464,
        0.990235,
        0.987574,
        0.987869,
        0.989961,
        0.998983,
        0.998848,
        0.994297,
        0.988632,
        0.986142,
        0.992577,
        0.996739,
        1.004,
        1.00164,
        0.999196,
        0.997011,
        0.998739,
        0.999421,
        1.01482,
        1.01148,
        0.993324,
        0.990211,
        0.992817,
        0.995195,
        0.993529,
        0.975536,
        0.992141,
        1.00459,
        1.00024,
        0.991882,
        0.994019,
        0.976709,
        1.00473,
        0.996898,
        0.989271,
        0.981625,
        0.985834,
        0.990098,
        0.995848,
        0.976399,
        0.965019,
        0.977186,
        0.993306,
        1.00024,
        0.991353,
        0.994049,
        1.00851,
        0.991235,
        0.97541,
        0.999429,
        1.01048,
        0.988272,
        0.996647,
        0.992851,
        0.997564,
        0.999114,
        0.992387,
        0.984619,
        0.998339,
        1.00472,
        0.995691,
        0.987302,
        0.972898,
        0.974021,
        0.981223,
        0.996058,
        0.983548,
        0.971579,
        0.975656,
        0.979341,
        0.977662,
        0.987017,
        0.978194,
        0.965012,
        0.967218,
        0.975549,
        0.975557,
        0.977185,
        0.982976,
        0.977502,
        0.975105,
        0.977392,
        0.982006,
        0.97408,
        0.971576,
        0.98075,
        0.987172,
        1.00504,
        1.00377,
        0.996141,
        0.992911,
        0.988322,
        0.985067,
        1.00718,
        1.03421,
        1.03197,
        0.993449,
        0.999122,
        0.972078,
        1.00376,
        1.10577,
        1.05185,
        1.05307,
        1.0556,
        1.07339,
        1.07853,
        1.0797,
        1.07768,
        1.08756,
        1.08946,
        1.09712,
        1.08635,
        1.09024,
        1.08351,
        1.07727,
        1.08296,
        1.09184,
        1.09639,
        1.07927,
        1.0817,
        1.08944,
        1.10466,
        1.11146,
        1.11045,
        1.08998,
        1.09194,
        1.11529,
        1.10393,
        1.09947,
        1.09557,
        1.08624,
        1.08231,
        1.09713,
        1.0926,
        1.09891,
        1.0944,
        1.07829,
        1.03605,
        0.963064,
        0.841022,
        0.832938,
        0.934222,
        1.01522,
        1.05548,
        1.07371,
        1.07703,
        1.0723,
        1.07657,
        1.06873,
        1.06526,
        1.05429,
        1.04151,
        1.03832,
        1.04626,
        1.04765,
        1.06634,
        1.06894,
        1.03466,
        1.00014,
        1.02144,
        1.0506,
        1.05153,
        1.04623,
        1.03915,
        1.03,
        1.01442,
        1.02392,
        1.02094,
        1.02718,
        1.0375,
        1.04517,
        1.04467,
        1.02761,
        1.02855,
        1.04079,
        1.04343,
        1.04147,
        1.03609,
        1.03858,
        1.04932,
        1.05166,
        1.06339,
        1.03593,
        1.02674,
        1.03837,
        1.04954,
        1.06103,
        1.06292,
        1.06702,
        1.05062,
        1.0509,
        1.05791,
        1.06189,
        1.05905,
        1.05491,
        1.05326,
        1.03818,
        1.03918,
        1.04252,
        1.04002,
        1.04175,
        1.05132,
        1.04921,
        1.03455,
        1.05219,
        1.05158,
        1.04882,
        1.03573,
        1.02813,
        1.0377,
        1.03776,
        1.04738,
        1.03779,
        1.04728,
        1.04759,
        1.02619,
        1.02378,
        1.03029,
        1.04866,
        1.03826,
        1.03668,
        1.04709,
        1.03644,
        1.01491,
        1.01299,
        1.03178,
        1.0282,
        1.03781,
        1.0196,
        1.00478,
        1.00587,
        1.01034,
        1.004,
        1.01446,
        1.00636,
        1.02293,
        1.02736,
        1.01259,
        0.99528,
        0.987906,
        0.980233,
        0.986525,
        0.982673,
        0.994651,
        0.999179,
        0.993932,
        0.993735,
        1.00356,
        0.977203,
        0.974,
        0.988516,
        0.985617,
        0.981917,
        0.984001,
        0.980273,
        0.96226,
        0.983431,
        0.991307,
        0.978279,
        0.969881,
        0.971385,
        0.977227,
        0.978495,
        0.963056,
        0.960835,
        0.958995,
        0.964839,
        0.959986,
        0.962351,
        0.978669,
        0.969362,
        0.982575,
        0.976709,
        0.96427,
        0.96021,
        0.962791,
        0.968061,
        0.973636,
        0.970591,
        0.951072,
        0.958891,
        0.946349,
        0.943396,
        0.95671,
        0.968371,
        0.964521,
        0.963612,
        0.950404,
        0.954406,
        0.964342,
        0.964658,
        0.960161,
        0.961767,
        0.956992,
        0.987974,
        0.973538,
        0.975777,
        0.981094,
        0.979196,
        0.985817,
        0.9833,
        0.983859,
        0.98258,
        0.975709,
        0.977975,
        0.989001,
        0.99608,
        0.991148,
        0.992186,
        0.986332,
        0.988822,
        0.992263,
        0.996747,
        0.99407,
        0.988,
        0.99882,
        0.987203,
        0.994561,
        0.994333,
        0.989983,
        0.98265,
        0.980373,
        0.988731,
        0.991354,
        0.968038,
        0.97422,
        1.00169,
        1.003,
        0.989995,
        0.983491,
        0.976833,
        0.96919,
        0.991173,
        0.980993,
        0.966096,
        0.953828,
        0.956243,
        0.969268,
        0.960711,
        0.976596,
        0.968048,
        0.980752,
        0.985375,
        0.990212,
        0.987119,
        0.96275,
        0.959756,
        0.96583,
        0.983121,
        0.98786,
        0.990677,
        0.984228,
        0.971558,
        0.974477,
        0.985448,
        0.953473,
        0.96808,
        0.967855,
        0.967568,
        0.980534,
        1.00022,
        1.01045,
        0.99035,
        0.993248,
        0.988504,
        0.993609,
        0.997246,
        0.992364,
        0.983827,
        0.974228,
        0.985434,
        0.993984,
        1.00135,
        0.996355,
        0.992823,
        0.999616,
        1.0029,
        0.987311,
        0.993181,
        1.00144,
        0.995038,
        0.989989,
        0.994494,
        1.00556,
        1.01607,
        1.00813,
        1.00013,
        0.993915,
        0.974431,
        0.974065,
        0.998556,
        1.01514,
        0.996018,
        0.999052,
        0.982229,
        0.975266,
        0.978886,
        0.98683,
        0.995896,
        1.00429,
        1.00107,
        0.994758,
        0.978543,
        0.985076,
        0.990887,
        0.984372,
        0.983248,
        0.999909,
        0.973399,
        0.967681,
        0.95867,
        0.960427,
        0.954333,
        0.957943,
        0.943308,
        0.950142,
        0.951311,
        0.943982,
        0.948141,
        0.969343,
        0.960451,
        0.953106,
        0.972054,
        0.966097,
        0.959856,
        0.968557,
        0.982044,
        0.978704,
        0.959208,
        0.978716,
        0.986486,
        0.98432,
        0.98732,
        0.984417,
        0.972375,
        0.972497,
        0.983571,
        0.993954,
        0.990007,
        1.0055,
        1.01243,
        1.0072,
        1.0029,
        0.997529,
        0.992863,
        0.988132,
        0.994988,
        0.990951,
        0.989185,
        0.991644,
        0.989501,
        0.985027,
        0.989247,
        0.992251,
        1.00416,
        0.999379,
        0.98862,
        0.988701,
        0.996674,
        0.989721,
        0.998338,
        0.988162,
        1.00175,
        1.0097,
        0.995583,
        0.979609,
        0.986274,
        0.986458,
        0.993204,
        1.00136,
        0.984184,
        0.96722,
        0.970216,
        0.98972,
        1.00364,
        0.994144,
        0.992719,
        0.999651,
        0.989766,
        0.988939,
        1.00176,
        1.00815,
        0.992455,
        0.987213,
        1.01925,
        1.01614,
        1.01491,
        1.00563,
        0.993191,
        0.995603,
        1.01419,
        1.00426,
        1.01287,
        1.00738,
        1.01778,
        1.0296,
        1.03153,
        1.03045,
        1.03731,
        1.02227,
        1.02325,
        1.02866,
        1.02524,
        1.04623,
        1.06595,
        1.0585,
        1.06142,
        1.06016,
        1.04827,
        1.04901,
        1.04609,
        1.0495,
        1.05498,
        1.05589,
        1.06205,
        1.06249,
        1.07454,
        1.07632,
        1.08252,
        1.07522,
        1.05746,
        1.05005,
        1.06132,
        1.07409,
        1.08746,
        1.07038,
        1.06423,
        1.07009,
        1.0701,
        1.05785,
        1.05518,
        1.06666,
        1.07488,
        1.06313,
        1.07079,
        1.06784,
        1.05977,
        1.06532,
        1.07364,
        1.06946,
        1.06843,
        1.06974,
        1.06039,
        1.01297,
        0.918843,
        0.876952,
        0.949356,
        1.03873,
        1.06924,
        1.08917,
        1.0903,
        1.0905,
        1.0797,
        1.07397,
        1.07211,
        1.04742,
        1.07476,
        1.10256,
        1.06748,
        1.08643,
        1.09828,
        1.10448,
        1.03086,
        1.07158,
        1.07105,
        1.05284,
        1.08134,
        1.09411,
        1.09288,
        1.0802,
        1.062,
        1.0499,
        1.05279,
        1.0571,
        1.02865,
        1.02575,
        1.04582,
        1.02897,
        1.02244,
        1.0401,
        1.04093,
        1.03489,
        1.0426,
        1.04354,
        1.0406,
        1.03966,
        1.04707,
        1.03062,
        1.02022,
        1.04109,
        1.04604,
        1.04489,
        1.05078,
        1.04699,
        1.0471,
        1.05447,
        1.06094,
        1.06223,
        1.03698,
        1.03493,
        1.03283,
        1.04496,
        1.05619,
        1.03292,
        1.01833,
        1.00777,
        1.03293,
        1.02666,
        1.02973,
        1.03839,
        1.03403,
        1.0311,
        1.01696,
        1.01816,
        1.02627,
        1.0178,
        1.01655,
        1.00716,
        0.997846,
        0.998098,
        1.01081,
        1.01758,
        1.01158,
        1.01245,
        0.999191,
        1.01033,
        0.987427,
        0.984168,
        0.992282,
        1.00108,
        1.01052,
        1.00644,
        1.00442,
        1.00751,
        1.00278,
        0.988319,
        0.986265,
        0.997553,
        0.999906,
        0.992303,
        0.995255,
        0.97828,
        0.972812,
        0.987332,
        0.985413,
        0.986987,
        1.00541,
        1.0235,
        0.986577,
        0.987374,
        1.00167,
        0.994016,
        0.983766,
        0.986068,
        1.00172,
        1.01173,
        0.997197,
        0.989682,
        0.989877,
        0.984035,
        0.979473,
        0.998052,
        1.00742,
        0.999058,
        1.00631,
        0.998504,
        0.99445,
        1.00235,
        1.00227,
        0.989047,
        0.985955,
        0.998613,
        0.985,
        0.986799,
        1.00408,
        0.999112,
        1.00253,
        1.01659,
        1.01183,
        1.01113,
        1.02822,
        0.999945,
        0.996521,
        1.00049,
        1.00183,
        1.00159,
        1.00266,
        1.0018,
        1.01441,
        1.00433,
        1.01064,
        1.01249,
        1.01194,
        1.0086,
        1.00885,
        1.00589,
        1.02395,
        1.0164,
        0.995617,
        1.0069,
        1.02052,
        1.02937,
        1.02801,
        1.02205,
        1.00667,
        1.02531,
        1.03395,
        1.03364,
        1.03972,
        1.02938,
        1.03776,
        1.04909,
        1.0402,
        1.05457,
        1.04948,
        1.03499,
        1.01656,
        1.03921,
        1.0231,
        1.03772,
        1.06271,
        1.04751,
        1.01988,
        1.04049,
        1.06517,
        1.04898,
        1.03883,
        1.0226,
        1.02749,
        1.03793,
        1.04468,
        1.02934,
        1.0255,
        1.01648,
        1.02341,
        1.02545,
        1.03543,
        1.03393,
        1.03358,
        1.02275,
        1.01627,
        1.00863,
        1.00856,
        1.01439,
        1.02539,
        1.02011,
        1.02108,
        1.03573,
        1.01237,
        1.01746,
        1.0082,
        1.00197,
        1.00377,
        1.00084,
        0.994755,
        1.00129,
        0.998491,
        1.00611,
        0.994985,
        0.979713,
        0.988203,
        1.00136,
        1.01042,
        0.984168,
        0.963484,
        0.980634,
        1.0011,
        0.994834,
        0.984448,
        0.991863,
        1.00624,
        0.961315,
        0.93533,
        0.98189,
        1.00414,
        1.02119,
        0.979501,
        0.945696,
        0.94853,
        0.985045,
        0.964413,
        0.928947,
        0.957353,
        0.96846,
        0.956414,
        0.962353,
        1.0092,
        0.9889,
        0.964795,
        0.938025,
        0.949155,
        0.937725,
        0.963749,
        0.968667,
        0.96811,
        0.977331,
        0.976074,
        0.967693,
        0.971932,
        0.983495,
        0.986569,
        0.992326,
        1.00376,
        0.993298,
        0.955861,
        0.985404,
        0.999766,
        1.01361,
        0.98204,
        0.986683,
        0.989194,
        0.987963,
        0.985573,
        1.00659,
        1.01313,
        1.0076,
        1.00501,
        0.99686,
        0.989303,
        0.997884,
        0.996319,
        0.979736,
        0.967467,
        0.985932,
        0.988475,
        0.987047,
        0.989707,
        0.991656,
        0.992162,
        0.980223,
        0.997973,
        0.978616,
        0.965246,
        0.987109,
        0.993514,
        0.968733,
        0.992872,
        0.978942,
        0.985411,
        0.98498,
        0.989604,
        0.993647,
        0.957179,
        0.954354,
        0.981841,
        0.988944,
        0.974873,
        0.967577,
        0.961807,
        0.966307,
        0.980453,
        0.971708,
        0.963071,
        0.945862,
        0.954642,
        0.992804,
        0.999218,
        0.987668,
        0.977202,
        0.985614,
        0.97962,
        0.990169,
        0.983476,
        0.977124,
        0.971393,
        0.975007,
        0.999603,
        0.991717,
        0.993687,
        1.01171,
        1.00867,
        0.990552,
        0.978398,
        0.990428,
        0.987242,
        0.989082,
        0.980206,
        0.993334,
        0.995435,
        1.00255,
        0.999926,
        0.995258,
        1.00641,
        0.983878,
        1.00393,
        0.992277,
        0.988017,
        0.993965,
        0.99632,
        0.990272,
        0.979764,
        0.999187,
        1.01061,
        1.00932,
        1.00721,
        1.00944,
        1.01563,
        1.01436,
        1.01082,
        1.02597,
        1.03147,
        1.01672,
        1.01432,
        1.02251,
        1.01772,
        1.01333,
        1.01301,
        0.991679,
        0.985515,
        1.02424,
        1.01109,
        1.03143,
        1.03492,
        1.01791,
        1.00569,
        0.994813,
        0.998279,
        1.00483,
        1.02764,
        1.0248,
        1.01808,
        1.01066,
        1.00161,
        1.013,
        1.01993,
        1.03345,
        1.03549,
        1.04503,
        1.04367,
        1.05212,
        1.05905,
        1.05627,
        1.06172,
        1.07822,
        1.06054,
        1.05968,
        1.06497,
        1.06143,
        1.05447,
        1.00431,
        1.02441,
        1.0618,
        1.06765,
        1.07319,
        1.06621,
        1.06277,
        1.06163,
        1.06983,
        1.07297,
        1.07432,
        1.08353,
        1.09412,
        1.07641,
        1.06943,
        1.07962,
        1.08067,
        1.07113,
        1.07954,
        1.0928,
        1.07622,
        1.04692,
        1.07792,
        1.10387,
        1.10575,
        1.10518,
        1.09252,
        1.09372,
        1.09991,
        1.10287,
        1.09142,
        1.08235,
        1.10023,
        1.11096,
        1.1147,
        1.10808,
        1.12475,
        1.09175,
        0.993578,
        0.923376,
        0.979845,
        1.03937,
        1.07812,
        1.07682,
        1.08014,
        1.10236,
        1.11871,
        1.10049,
        1.06695,
        1.10649,
        1.10421,
        1.09079,
        1.07036,
        1.06957,
        1.07182,
        1.04305,
        1.07835,
        1.04076,
        1.08838,
        1.03092,
        1.01246,
        1.04483,
        1.05762,
        1.05356,
        1.05242,
        1.02682,
        1.06656,
        1.07831,
        1.08482,
        1.05648,
        1.04009,
        1.05356,
        1.06099,
        1.02623,
        1.02958,
        1.06811,
        1.07462,
        1.05015,
        1.0558,
        1.07326,
        1.07186,
        1.06495,
        1.07871,
        1.06913,
        1.05829,
        1.06279,
        1.05351,
        1.0471,
        1.05057,
        1.05246,
        1.05616,
        1.05903,
        1.03544,
        1.04616,
        1.0536,
        1.05045,
        1.04493,
        1.04116,
        1.03662,
        1.05122,
        1.03889,
        1.01853,
        1.01122,
        1.00931,
        1.01133,
        1.01691,
        1.01955,
        1.01974,
        1.01373,
        0.98473,
        0.975904,
        0.997561,
        1.02537,
        1.02394,
        0.991049,
        0.987648,
        1.00658,
        0.993025,
        0.98736,
        1.00092,
        1.00249,
        0.986024,
        0.983408,
        1.01143,
        1.00967,
        0.954335,
        0.970265,
        1.00105,
        0.99252,
        0.984855,
        1.00102,
        0.979694,
        0.985152,
        0.979117,
        0.956188,
        0.963184,
        0.953559,
        0.95694,
        0.978891,
        0.971173,
        0.973614,
        0.99317,
        0.967359,
        0.968313,
        0.985911,
        0.994038,
        0.994385,
        0.997574,
        0.983972,
        0.970207,
        0.998847,
        1.01001,
        1.00566,
        0.999205,
        0.996077,
        0.992142,
        0.986351,
        0.996892,
        0.995114,
        1.0132,
        0.999939,
        0.9956,
        1.00276,
        0.991438,
        0.984525,
        0.997002,
        0.991431,
        1.00737,
        1.01279,
        0.983778,
        0.976433,
        0.997598,
        0.970845,
        0.969339,
        0.986464,
        0.983252,
        0.990985,
        0.999833,
        0.990755,
        0.971028,
        0.96365,
        0.963478,
        0.983182,
        0.981446,
        0.972329,
        0.975581,
        0.969014,
        0.958941,
        0.960889,
        0.961619,
        0.974201,
        0.993117,
        0.967576,
        0.968035,
        0.981971,
        0.97815,
        0.965863,
        0.976546,
        0.975979,
        0.978596,
        0.984144,
        0.981333,
        0.981896,
        0.969849,
        0.953256,
        0.961115,
        0.993775,
        0.987246,
        0.990879,
        1.00901,
        0.999418,
        0.967149,
        0.974035,
        1.01369,
        0.998764,
        0.992301,
        0.975047,
        0.982706,
        0.989073,
        0.98936,
        0.98399,
        0.967389,
        0.942093,
        0.937118,
        0.96755,
        1.00099,
        0.974561,
        0.964877,
        0.983676,
        0.996289,
        0.987209,
        0.981568,
        0.975776,
        0.95365,
        0.961707,
        0.987154,
        0.982311,
        0.980077,
        0.992477,
        0.984695,
        0.950908,
        0.983344,
        1.00602,
        1.00552,
        1.00215,
        0.999602,
        1.00433,
        1.01194,
        1.00625,
        0.996946,
        0.993303,
        1.00091,
        1.00935,
        0.999657,
        1.0004,
        1.01108,
        1.00352,
        0.986482,
        0.988783,
        1.00345,
        1.00104,
        0.997456,
        1.00371,
        1.00893,
        1.00421,
        0.999606,
        1.0037,
        1.00532,
        0.993624,
        0.987585,
        0.991028,
        0.991949,
        1.00064,
        1.01211,
        0.975675,
        0.995233,
        0.99541,
        0.984209,
        0.984931,
        0.994295,
        0.990852,
        0.977029,
        0.978064,
        0.989771,
        1.00115,
        0.960577,
        0.952386,
        0.962637,
        0.971393,
        0.98107,
        0.991003,
        0.974346,
        0.930547,
        0.914257,
        0.958175,
        0.96431,
        0.96419,
        0.96283,
        0.960183,
        0.96291,
        0.961201,
        0.979574,
        0.97885,
        0.96907,
        0.973307,
        0.969612,
        0.964765,
        0.971416,
        0.973305,
        0.959833,
        0.955447,
        0.971643,
        0.974517,
        0.982438,
        0.98314,
        0.92983,
        0.883264,
        1.0118,
        0.98254,
        1.00625,
        1.00519,
        0.992992,
        0.988109,
        0.994197,
        0.995358,
        0.970226,
        0.927022,
        1.00548,
        1.05829,
        0.995469,
        1.00695,
        1.00086,
        0.994957,
        0.980285,
        0.959731,
        0.995983,
        0.998895,
        0.994369,
        0.98668,
        0.977126,
        0.971934,
        0.980147,
        1.00658,
        1.01007,
        0.971382,
        0.996443,
        0.971019,
        1.00427,
        0.990411,
        0.97652,
        1.00095,
        1.00973,
        0.993202,
        0.883549,
        0.938389,
        0.965208,
        0.988811,
        0.994848,
        0.991161,
        0.992387,
        1.00906,
        1.01821,
        0.987478,
        1.00321,
        1.01015,
        0.99818,
        0.989507,
        1.00184,
        1.01589,
        1.0072,
        0.986907,
        0.994356,
        1.00911,
        1.01587,
        1.00774,
        0.998217,
        1.00049,
        0.998107,
        0.991943,
        1.00196,
        1.00098,
        0.991771,
        0.993057,
        1.00128,
        0.992495,
        0.983251,
        1.00382,
        0.99507,
        0.955709,
        1.00279,
        0.993157,
        0.978902,
        0.985205,
        0.998106,
        0.995751,
        1.00556,
        1.00993,
        0.988873,
        0.992976,
        1.00202,
        1.00289,
        1.003,
        1.01958,
        1.02271,
        1.00052,
        0.994412,
        1.03742,
        1.01871,
        1.0231,
        1.01547,
        1.03227,
        1.03863,
        1.04327,
        1.04238,
        1.0771,
        1.05646,
        1.05143,
        1.05392,
        1.06367,
        1.06587,
        1.07056,
        1.08282,
        1.07387,
        1.09055,
        1.08344,
        1.11621,
        1.09889,
        1.07033,
        1.09102,
        1.10442,
        1.06279,
        1.06809,
        1.15119,
        1.12288,
        1.05449,
        1.09847,
        1.08919,
        1.0608,
        1.103,
        1.08101,
        1.07151,
        1.09704,
        1.1155,
        1.09361,
        1.09158,
        1.08793,
        1.08717,
        1.10122,
        1.10636,
        1.10468,
        1.08866,
        1.07372,
        1.09317,
        1.10305,
        1.09509,
        1.08417,
        1.08346,
        1.08801,
        1.07677,
        1.07679,
        1.07693,
        1.08983,
        1.09942,
        1.09925,
        1.08732,
        1.06994,
        1.07415,
        1.05206,
        1.09038,
        1.07177,
        1.07353,
        1.08532,
        1.0971,
        1.10546,
        1.10236,
        1.10005,
        1.08532,
        1.09049,
        1.07506,
        1.09057,
        1.09894,
        1.08334,
        1.14665,
        1.11285,
        1.03426,
        1.04704,
        1.05534,
        1.04758,
        1.0822,
        1.05986,
        1.0685,
        1.07582,
        1.06222,
        1.04724,
        1.05083,
        1.05286,
        1.0323,
        1.06296,
        1.06891,
        1.07065,
        1.07922,
        1.07778,
        1.07467,
        1.09019,
        1.10408,
        1.09358,
        1.08308,
        1.06913,
        1.06893,
        1.0728,
        1.07224,
        1.07492,
        1.06508,
        1.07653,
        1.08095,
        1.07811,
        1.08171,
        1.08722,
        1.06841,
        1.06191,
        1.08262,
        1.08429,
        1.04531,
        1.04253,
        1.05808,
        1.07167,
        1.05884,
        1.05337,
        1.05528,
        1.04258,
        1.04604,
        1.04423,
        1.02628,
        1.01594,
        1.01594,
        1.02429,
        1.03084,
        1.02441,
        1.02045,
        1.02318,
        1.03088,
        1.03543,
        1.02715,
        1.01732,
        1.0223,
        1.01282,
        0.970454,
        1.01424,
        1.0365,
        0.998145,
        0.975872,
        0.985325,
        0.96582,
        0.977156,
        0.994036,
        0.962909,
        1.01293,
        0.994051,
        1.01002,
        0.958445,
        0.934178,
        0.976368,
        0.989441,
        0.978982,
        0.944531,
        0.942085,
        0.973568,
        0.990184,
        0.976651,
        0.954547,
        0.971681,
        0.976598,
        0.978138,
        0.981182,
        0.975066,
        0.977961,
        0.980619,
        0.998103,
        0.980788,
        0.982392,
        0.986864,
        0.985842,
        0.998495,
        1.01305,
        0.991643,
        1.01085,
        1.00442,
        0.998743,
        0.998936,
        0.989773,
        0.984729,
        0.985509,
        0.993903,
        1.00049,
        0.989539,
        0.949545,
        0.997539,
        1.0171,
        1.00274,
        0.987766,
        0.977261,
        0.982172,
        0.98979,
        0.987786,
        0.981949,
        1.0062,
        1.00284,
        0.966094,
        0.989398,
        1.02678,
        1.0144,
        0.966343,
        0.966081,
        0.972274,
        0.998047,
        0.989381,
        0.998661,
        0.987304,
        0.993661,
        0.996439,
        0.973582,
        0.979031,
        0.989598,
        0.996674,
        0.997284,
        0.992696,
        1.01311,
        0.977697,
        0.911342,
        0.96052,
        0.996623,
        1.00623,
        0.991914,
        0.973444,
        0.975585,
        0.983552,
        0.982456,
        0.990676,
        0.963184,
        0.960616,
        0.967563,
        0.98607,
        0.97988,
        0.966621,
        0.979055,
        1.00011,
        0.981361,
        0.981027,
        0.992944,
        0.96675,
        0.98731,
        0.993252,
        0.974859,
        0.975575,
        0.988822,
        0.986904,
        0.994882,
        0.998694,
        1.02969,
        1.0309,
        0.99497,
        0.994056,
        0.980328,
        0.966752,
        0.978426,
        1.00703,
        0.989577,
        0.985835,
        0.983087,
        0.996557,
        0.991185,
        0.995769,
        1.00076,
        0.995644,
        0.981314,
        0.986257,
        1.01291,
        0.992756,
        1.00724,
        0.975621,
        1.02202,
        1.03379,
        0.993035,
        0.966034,
        0.970317,
        0.969664,
        0.962041,
        0.951089,
        0.980224,
        0.975544,
        0.987794,
        0.989478,
        0.992423,
        0.980158,
        0.954239,
        0.960385,
        0.994314,
        0.94352,
        0.991276,
        0.988024,
        0.972003,
        0.955121,
        0.949464,
        0.966461,
        0.971474,
        0.963598,
        0.95687,
        0.941479,
        0.957536,
        0.961604,
        0.974528,
        0.974084,
        0.97764,
        0.965437,
        0.959317,
        0.98484,
        0.971211,
        0.928533,
        0.967496,
        0.973189,
        0.967976,
        0.968935,
        0.969276,
        0.977931,
        0.986581,
        0.981419,
        0.969924,
        0.963708,
        0.966642,
        0.986224,
        0.984428,
        0.977777,
        0.983482,
        0.98024,
        0.988556,
        0.993011,
        0.976211,
        0.967866,
        0.982186,
        0.933705,
        1.0023,
        1.00294,
        0.982035,
        0.991356,
        0.98995,
        0.940758,
        0.892521,
        0.920733,
        0.990006,
        0.965453,
        0.953839,
        0.938781,
        0.945126,
        1.03444,
        1.02256,
        0.968184,
        0.970165,
        1.00041,
        0.98597,
        0.964747,
        1.0043,
        0.951043,
        0.990844,
        0.991305,
        1.0041,
        1.00822,
        1.01194,
        0.998748,
        0.982039,
        0.989168,
        0.989228,
        0.980386,
        0.985244,
        0.979674,
        0.972078,
        1.01009,
        0.982076,
        0.949627,
        0.989987,
        1.01169,
        0.984101,
        0.960021,
        0.967797,
        0.976227,
        0.978052,
        0.986776,
        0.987536,
        0.982519,
        1.0088,
        1.00687,
        0.984461,
        0.973016,
        0.976849,
        0.989289,
        1.008,
        0.965292,
        0.973898,
        0.974265,
        0.965976,
        0.979291,
        0.981072,
        0.983676,
        0.989446,
        0.985843,
        0.973776,
        0.958478,
        0.961456,
        0.9805,
        1.01414,
        0.991228,
        0.987295,
        0.984786,
        0.978132,
        0.957857,
        0.94827,
        0.991255,
        1.00681,
        1.00154,
        0.982444,
        1.01097,
        1.0019,
        0.977131,
        0.973058,
        1.00251,
        1.02515,
        1.01597,
        1.0091,
        0.992211,
        0.989181,
        1.00589,
        1.00151,
        0.979286,
        0.992494,
        1.02313,
        1.02822,
        1.01569,
        1.02417,
        1.0386,
        1.01021,
        1.02037,
        0.984367,
        1.06233,
        1.05957,
        1.04301,
        1.04954,
        1.06593,
        1.05925,
        1.03292,
        1.05564,
        1.10344,
        1.07532,
        1.0871,
        1.08727,
        1.08589,
        1.08538,
        1.09914,
        1.08949,
        1.07821,
        1.11861,
        1.12759,
        1.12656,
        1.08472,
        1.08537,
        1.07864,
        1.09091,
        1.0865,
        1.09248,
        1.10672,
        1.10894,
        1.10948,
        1.09746,
        1.02132,
        1.11608,
        1.131,
        1.11289,
        1.08895,
        1.10314,
        1.08518,
        1.06715,
        1.07535,
        1.08803,
        1.07223,
        1.04258,
        1.06735,
        1.1008,
        1.10693,
        1.12126,
        1.12043,
        1.11976,
        1.10432,
        1.09904,
        1.11761,
        1.12203,
        1.11356,
        1.11267,
        1.14152,
        1.11786,
        1.08725,
        1.10836,
        1.10615,
        1.09527,
        1.09546,
        1.09756,
        1.08892,
        1.06303,
        1.08751,
        1.09693,
        1.08048,
        1.04603,
        1.03343,
        1.0531,
        1.07561,
        1.10821,
        1.11333,
        1.06383,
        1.00914,
        1.0158,
        1.05462,
        1.06528,
        0.957509,
        1.03659,
        1.05926,
        1.05987,
        1.04677,
        1.04632,
        1.05827,
        1.06358,
        1.07372,
        1.07106,
        1.05663,
        1.05508,
        1.04574,
        1.0492,
        1.02818,
        1.04831,
        1.06695,
        1.06499,
        1.05833,
        1.04179,
        1.06654,
        1.05201,
        1.02266,
        1.05869,
        1.04986,
        1.08072,
        1.0675,
        1.02413,
        1.01719,
        1.04787,
        1.06316,
        1.0493,
        1.02152,
        1.02364,
        1.03548,
        1.03243,
        1.02899,
        1.0159,
        1.01032,
        1.01094,
        1.01633,
        1.02348,
        1.01312,
        1.00462,
        1.01125,
        1.00602,
        0.994165,
        1.00658,
        0.996578,
        0.98083,
        0.976447,
        0.981439,
        0.981797,
        0.978865,
        1.01111,
        1.04034,
        1.02777,
        0.952229,
        0.981991,
        1.00441,
        0.999691,
        0.984611,
        0.975669,
        0.966059,
        1.02685,
        1.02738,
        1.00098,
        0.988785,
        0.98665,
        0.981213,
        0.982296,
        1.00991,
        0.961434,
        0.978986,
        1.00433,
        0.998206,
        0.984612,
        0.970351,
        0.957455,
        0.966841,
        0.985924,
        0.97975,
        0.970654,
        0.978009,
        0.972246,
        0.981213,
        0.972247,
        0.958726,
        0.986394,
        1.00038,
        0.994118,
        0.989466,
        0.982888,
        0.999358,
        1.0193,
        0.988031,
        0.998362,
        0.998042,
        0.987945,
        0.982796,
        1.00506,
        0.992517,
        0.993071,
        0.993158,
        0.999624,
        0.99768,
        0.984847,
        0.97895,
        0.973308,
        0.974335,
        0.972282,
        0.981195,
        0.984363,
        0.980136,
        0.987045,
        0.987937,
        0.971817,
        0.972215,
        0.978062,
        0.987483,
        0.983322,
        0.999286,
        0.956178,
        0.954035,
        0.980883,
        0.976629,
        0.975095,
        0.992524,
        0.983109,
        0.971592,
        0.976569,
        0.983489,
        0.97958,
        0.983355,
        0.976912,
        0.972813,
        0.980249,
        0.991402,
        0.987694,
        0.969894,
        0.964665,
        0.978307,
        0.987002,
        0.963763,
        0.998942,
        1.02173,
        0.984631,
        0.973771,
        0.987204,
        0.996932,
        0.986926,
        0.983707,
        1.00615,
        1.00082,
        0.993771,
        0.958893,
        0.962513,
        0.967943,
        0.974804,
        0.991676,
        1.00571,
        0.98845,
        0.980679,
        1.01949,
        0.990691,
        0.976073,
        0.990472,
        0.969321,
        0.961213,
        0.982941,
        0.985511,
        0.96968,
        0.978303,
        0.978341,
        0.985822,
        0.977533,
        0.976377,
        0.984181,
        0.935644,
        0.965406,
        0.996842,
        0.984004,
        0.98367,
        0.984731,
        0.984635,
        0.973014,
        0.99978,
        0.993868,
        0.991187,
        0.994594,
        0.998368,
        0.993379,
        0.983557,
        0.984815,
        0.985748,
        0.971536,
        0.991931,
        0.98609,
        1.00077,
        0.988312,
        0.985036,
        1.01079,
        1.00434,
        0.976899,
        0.98926,
        0.977548,
        0.952799,
        0.982894,
        0.976306,
        0.96367,
        0.978006,
        0.981736,
        0.971223,
        0.995797,
        0.985629,
        0.961511,
        0.982905,
        0.998092,
        0.988689,
        0.983204,
        0.989994,
        0.993156,
        0.995677,
        1.0063,
        0.996353,
        0.993008,
        0.994077,
        0.987649,
        0.979842,
        0.992126,
        0.983164,
        1.01218,
        1.02192,
        1.00786,
        1.00143,
        0.998077,
        0.993633,
        1.00051,
        0.988205,
        1.00016,
        1.0201,
        1.00564,
        0.978922,
        1.00009,
        1.00415,
        0.996093,
        1.01774,
        0.994576,
        0.998729,
        1.02225,
        0.982906,
        0.987887,
        0.984879,
        0.995307,
        0.997764,
        0.969955,
        0.979962,
        0.990093,
        0.964367,
        0.940357,
        0.98127,
        0.989314,
        0.97947,
        0.971796,
        0.968222,
        0.971159,
        0.975253,
        0.978453,
        0.974948,
        0.976944,
        0.974257,
        0.965455,
        0.96395,
        0.976803,
        0.987762,
        0.979491,
        0.973948,
        0.971372,
        0.954968,
        0.953476,
        0.961162,
        0.971103,
        0.974134,
        0.977587,
        0.953567,
        0.956514,
        0.990588,
        1.00476,
        0.993726,
        0.989353,
        0.977988,
        0.964857,
        0.979291,
        0.992225,
        0.995968,
        0.997399,
        1.00484,
        0.995188,
        0.979694,
        0.966012,
        0.957901,
        1.01202,
        1.00491,
        1.00673,
        1.00919,
        1.00684,
        1.00167,
        1.00392,
        1.01463,
        1.01232,
        1.01092,
        1.01018,
        1.01096,
        0.998201,
        1.00176,
        0.991801,
        0.98698,
        0.98949,
        0.994875,
        1.00978,
        1.02074,
        1.02544,
        0.997198,
        0.996369,
        1.02618,
        1.03115,
        1.00018,
        1.00123,
        0.99232,
        1.00761,
        0.985215,
        0.992216,
        1.01507,
        1.02171,
        1.01713,
        1.00591,
        1.01747,
        1.03157,
        1.03432,
        1.0393,
        1.01861,
        1.00443,
        1.04631,
        1.03986,
        1.02909,
        1.03892,
        1.03554,
        1.04113,
        1.04704,
        1.0525,
        1.0655,
        1.07084,
        1.05829,
        1.05047,
        1.05899,
        1.07517,
        1.09833,
        1.06969,
        1.046,
        1.07506,
        1.08881,
        1.07667,
        1.08697,
        1.09834,
        1.0978,
        1.09512,
        1.09592,
        1.10298,
        1.11175,
        1.09841,
        1.10424,
        1.12703,
        1.04011,
        1.05259,
        1.11312,
        1.12086,
        1.09359,
        1.08348,
        1.08567,
        1.07495,
        1.09667,
        1.09263,
        1.09374,
        1.08869,
        1.08278,
        1.08295,
        1.09091,
        1.08474,
        1.07223,
        1.07338,
        1.09102,
        1.08343,
        1.0886,
        1.08561,
        1.12123,
        1.10309,
        1.09351,
        1.09121,
        1.06596,
        1.0643,
        1.09014,
        1.06124,
        1.12879,
        1.11833,
        1.12392,
        1.11553,
        1.11461,
        1.11673,
        1.1184,
        1.13175,
        1.10099,
        1.10536,
        1.12016,
        1.12214,
        1.13616,
        1.13314,
        1.11495,
        1.1202,
        1.12305,
        1.09062,
        1.09091,
        1.1293,
        1.14251,
        1.06492,
        1.12557,
        1.14179,
        1.1751,
        1.10322,
        1.08806,
        1.12658,
        1.07341,
        1.08029,
        1.12131,
        1.12372,
        1.11604,
        1.10699,
        1.09588,
        1.09958,
        1.08884,
        1.08653,
        1.09022,
        1.05227,
        1.06696,
        1.09844,
        1.12373,
        1.08755,
        1.06292,
        1.07401,
        1.09167,
        1.09219,
        1.07686,
        1.06097,
        1.03453,
        1.09096,
        1.08133,
        1.04125,
        1.0588,
        1.08802,
        1.04816,
        1.03661,
        1.04565,
        1.04633,
        1.04139,
        1.05262,
        1.0454,
        1.03025,
        1.02896,
        1.02886,
        1.0444,
        1.04186,
        1.01376,
        1.01187,
        1.02552,
        1.00708,
        1.00898,
        0.997137,
        0.988613,
        0.991098,
        0.998851,
        1.03831,
        1.01898,
        0.982156,
        0.860752,
        1.00088,
        0.975806,
        1.00075,
        0.981882,
        0.97739,
        0.986365,
        0.982818,
        1.0582,
        0.999494,
        1.02413,
        0.96201,
        1.00384,
        1.01978,
        1.01858,
        0.991774,
        0.991899,
        0.978527,
        0.968975,
        1.0002,
        0.995007,
        0.986665,
        0.982951,
        0.994777,
        0.977027,
        0.973948,
        0.971414,
        0.962944,
        0.979145,
        0.983447,
        0.971449,
        0.977531,
        0.98528,
        0.995849,
        1.03509,
        0.953914,
        0.991101,
        0.978638,
        0.987228,
        0.99349,
        0.983996,
        0.978426,
        0.974742,
        0.971965,
        0.993205,
        1.00395,
        0.985681,
        0.99783,
        0.998673,
        0.984008,
        0.962326,
        0.971359,
        0.953265,
        0.980885,
        0.992131,
        0.899416,
        0.847687,
        0.912367,
        0.974933,
        1.00377,
        0.974876,
        0.910766,
        0.977062,
        0.996047,
        0.994927,
        0.97711,
        0.980956,
        1.0027,
        0.975974,
        0.975937,
        0.982877,
        1.01941,
        1.00062,
        0.976756,
        0.99302,
        0.991085,
        1.00738,
        1.0081,
        0.992981,
        0.989791,
        0.994556,
        1.00422,
        0.988557,
        0.99538,
        0.993159,
        0.990948,
        1.00103,
        1.00583,
        1.01696,
        0.992265,
        0.97902,
        0.993174,
        0.984567,
        0.981032,
        1.00609,
        1.00346,
        0.981429,
        0.992945,
        0.994981,
        0.997182,
        0.992222,
        1.00926,
        1.00767,
        0.982277,
        0.978688,
        0.990463,
        0.983928,
        0.973796,
        0.981033,
        1.00931,
        0.983919,
        0.997315,
        1.01156,
        1.00492,
        0.999811,
        0.989303,
        0.985584,
        1.00617,
        0.991586,
        0.992095,
        0.967942,
        0.96597,
        0.97037,
        0.980587,
        1.00697,
        0.999157,
        0.99066,
        0.993203,
        0.996831,
        0.992006,
        0.980826,
        0.97164,
        0.970937,
        0.974652,
        0.973364,
        0.999862,
        1.01487,
        0.998041,
        0.980504,
        0.994155,
        1.01259,
        1.01736,
        1.00686,
        0.995122,
        0.991086,
        0.995369,
        1.00504,
        1.00596,
        1.01331,
        1.02581,
        0.998686,
        0.995798,
        1.01387,
        1.01865,
        1.01496,
        1.0141,
        1.0144,
        1.00504,
        0.992161,
        0.998219,
        1.00309,
        1.01812,
        1.01965,
        1.0029,
        1.0067,
        0.999401,
        0.98332,
        0.969968,
        0.991356,
        1.01048,
        0.99708,
        0.998909,
        1.00329,
        1.00886,
        1.00366,
        1.01991,
        1.01216,
        1.00223,
        0.987651,
        0.991211,
        0.987622,
        0.975286,
        0.970905,
        0.98654,
        1.00558,
        0.978963,
        0.996499,
        0.981232,
        0.978542,
        0.97074,
        0.968801,
        0.96997,
        0.967896,
        0.976521,
        0.990628,
        0.990112,
        0.978531,
        0.981079,
        0.995354,
        0.974596,
        0.964898,
        0.983422,
        0.993417,
        1.00138,
        1.00475,
        0.997623,
        0.986361,
        0.992038,
        1.0096,
        1.01042,
        0.99901,
        1.00252,
        1.01161,
        0.981219,
        0.996746,
        0.987348,
        0.98661,
        0.991208,
        0.989417,
        1.00082,
        0.999792,
        0.981415,
        0.987417,
        0.994492,
        0.976422,
        0.983964,
        0.994628,
        0.996054,
        0.995485,
        0.988377,
        0.989865,
        0.984381,
        0.980333,
        0.990598,
        0.998671,
        0.995657,
        0.999262,
        0.99113,
        0.987246,
        0.977819,
        0.984037,
        0.994536,
        1.00116,
        1.00103,
        0.988858,
        0.986926,
        0.992651,
        0.99268,
        0.992468,
        0.997526,
        1.0077,
        0.988369,
        1.00403,
        1.01547,
        1.00941,
        0.992533,
        1.00525,
        1.00029,
        0.977969,
        0.9725,
        0.978476,
        0.979213,
        0.981506,
        0.961047,
        0.978431,
        0.990319,
        0.98643,
        1.10464,
        1.05804,
        1.01076,
        0.964854,
        0.928638,
        0.966567,
        0.97381,
        0.951471,
        0.972138,
        0.976163,
        0.929926,
        0.996611,
        0.99382,
        0.985164,
        0.990108,
        0.985414,
        0.973016,
        0.973319,
        0.996794,
        1.00479,
        1.00192,
        1.01878,
        1.02644,
        1.02785,
        1.03348,
        1.05617,
        1.05381,
        1.06901,
        1.06479,
        1.06413,
        1.06908,
        1.07131,
        1.08035,
        1.09771,
        1.09671,
        1.08289,
        1.08942,
        1.07306,
        1.08938,
        1.09408,
        1.0929,
        1.10856,
        1.10545,
        1.09279,
        1.09461,
        1.09939,
        1.09993,
        1.10817,
        1.11305,
        1.1086,
        1.10717,
        1.10724,
        1.09866,
        1.10197,
        1.1056,
        1.10871,
        1.10675,
        1.11194,
        1.11493,
        1.11696,
        1.11776,
        1.1077,
        1.12304,
        1.13246,
        1.11802,
        1.10439,
        1.10898,
        1.08919,
        1.11633,
        1.1019,
        1.11272,
        1.11537,
        1.11625,
        1.08549,
        1.10578,
        1.10705,
        1.10587,
        1.11302,
        1.11947,
        1.12627,
        1.11137,
        1.11465,
        1.116,
        1.10621,
        1.1065,
        1.10359,
        1.12065,
        1.14375,
        1.13033,
        1.12476,
        1.10881,
        1.12342,
        1.1172,
        1.13694,
        1.14356,
        1.12375,
        1.13651,
        1.13027,
        1.12038,
        1.12377,
        1.13053,
        1.11669,
        1.09649,
        1.09359,
        1.093,
        1.10011,
        1.12785,
        1.11596,
        1.09877,
        1.10932,
        1.08481,
        1.08438,
        1.08139,
        1.11031,
        1.09784,
        1.08976,
        1.08971,
        1.08335,
        1.07858,
        1.08773,
        1.0901,
        1.08866,
        1.09696,
        1.08821,
        1.07663,
        1.07108,
        1.06171,
        1.05856,
        1.05645,
        1.06802,
        1.06308,
        1.07119,
        1.07168,
        1.06173,
        1.06162,
        1.06382,
        1.04988,
        1.0422,
        1.05408,
        1.05832,
        1.04735,
        1.05614,
        1.02704,
        1.03396,
        1.04549,
        1.03142,
        1.02115,
        1.01964,
        1.02069,
        1.02813,
        1.03344,
        1.04129,
        1.03725,
        1.0346,
        1.01679,
        1.00462,
        1.01522,
        1.02386,
        1.00258,
        1.00639,
        1.00762,
        0.993627,
        0.988809,
        0.987976,
        0.984829,
        1.00681,
        1.00498,
        0.99325,
        1.00056,
        0.991787,
        0.989162,
        0.994126,
        0.997121,
        0.993263,
        0.99195,
        0.971479,
        0.99707,
        0.986636,
        0.962941,
        0.959974,
        0.982013,
        0.980184,
        0.981031,
        0.961945,
        0.939171,
        0.963766,
        0.988901,
        0.970654,
        0.976796,
        0.997736,
        0.971727,
        0.984481,
        0.974017,
        0.969016,
        0.973048,
        0.971852,
        0.990692,
        0.970391,
        0.985049,
        0.960235,
        0.9395,
        0.949786,
        0.971846,
        0.985652,
        0.986728,
        1.00267,
        0.992335,
        1.00604,
        0.990129,
        1.00394,
        0.989081,
        0.972861,
        0.968352,
        0.979027,
        0.995452,
        0.996508,
        0.989259,
        0.996386,
        1.00939,
        1.01019,
        0.99452,
        0.988018,
        0.9875,
        0.989668,
        0.984356,
        0.972365,
        0.980137,
        0.967699,
        0.992902,
        0.99462,
        0.990774,
        0.992169,
        0.984377,
        0.975152,
        0.970205,
        0.971538,
        0.968512,
        0.96073,
        0.991163,
        0.982596,
        0.995369,
        1.01481,
        0.980739,
        1.00786,
        0.970745,
        0.976745,
        1.00788,
        1.01684,
        1.02722,
        1.00536,
        1.02757,
        1.0011,
        0.981453,
        0.985783,
        0.992919,
        1.01096,
        1.00345,
        1.0122,
        1.01756,
        1.03128,
        1.03522,
        0.991176,
        0.978001,
        1.00504,
        1.00434,
        0.985519,
        0.994204,
        1.00968,
        1.01044,
        1.00834,
        0.996221,
        1.01713,
        1.00073,
        0.979486,
        1.00486,
        1.00856,
        1.00279,
        0.997054,
        0.985271,
        0.983701,
        0.993595,
        1.00382,
        1.01723,
        1.0163,
        1.0136,
        1.00168,
        0.992426,
        0.994736,
        0.985004,
        0.98402,
        0.991723,
        0.995503,
        0.998277,
        0.993928,
        0.987506,
        0.994248,
        1.02143,
        1.00483,
        1.00971,
        0.989942,
        1.0049,
        1.01494,
        0.993738,
        0.991847,
        0.967838,
        0.989853,
        1.0068,
        1.01062,
        1.00356,
        1.00096,
        1.01237,
        1.00738,
        0.997001,
        1.00604,
        1.00399,
        1.02123,
        1.00397,
        1.01048,
        0.998962,
        1.01574,
        1.02138,
        1.01056,
        0.99178,
        0.988754,
        0.983045,
        0.993278,
        0.993715,
        0.994604,
        1.00034,
        0.999953,
        0.992943,
        0.991338,
        1.01025,
        0.997648,
        0.994741,
        0.963159,
        0.980842,
        0.992593,
        0.986507,
        0.999317,
        1.00062,
        1.00461,
        1.0086,
        1.00527,
        1.00585,
        0.99597,
        1.00634,
        1.01375,
        1.00803,
        0.998215,
        1.00615,
        1.02997,
        1.01864,
        1.00643,
        0.998596,
        0.985631,
        1.00244,
        1.00552,
        1.00767,
        1.00892,
        1.0123,
        1.03243,
        1.02403,
        1.00653,
        1.02014,
        1.03718,
        1.01622,
        1.01034,
        1.02604,
        1.03228,
        1.03691,
        1.06238,
        1.05429,
        1.02458,
        1.01771,
        1.01863,
        1.02977,
        1.02414,
        1.01604,
        1.02814,
        1.00822,
        1.01202,
        1.0171,
        0.998632,
        1.00275,
        1.01316,
        1.00501,
        1.00549,
        1.01337,
        1.03932,
        1.0282,
        0.997797,
        1.0131,
        1.00917,
        0.967697,
        1.02346,
        1.02659,
        1.02128,
        0.977122,
        0.958537,
        0.973734,
        0.993215,
        1.00493,
        1.01892,
        1.02295,
        1.00992,
        1.00425,
        1.01283,
        0.99983,
        0.955657,
        0.977329,
        0.990697,
        0.999217,
        0.989765,
        1.01564,
        1.04964,
        1.00874,
        0.982998,
        0.991839,
        1.00588,
        1.00151,
        0.995476,
        0.976668,
        0.992613,
        1.02501,
        0.995193,
        1.02801,
        1.01487,
        0.983115,
        0.98572,
        0.976961,
        0.998472,
        1.00895,
        1.00353,
        0.989372,
        1.00781,
        1.02696,
        1.01331,
        0.999568,
        1.01002,
        1.01735,
        1.0099,
        1.02232,
        1.02052,
        1.03588,
        1.02848,
        1.04813,
        1.0236,
        1.01288,
        1.00267,
        1.01702,
        1.00361,
        1.032,
        1.04079,
        1.03613,
        1.03977,
        1.04449,
        1.03121,
        1.02006,
        1.02659,
        1.03436,
        1.04014,
        1.03132,
        1.03459,
        0.994462,
        0.985392,
        1.0325,
        1.05113,
        1.00935,
        1.02558,
        1.0373,
        1.02968,
        1.04848,
        1.05948,
        1.06349,
        1.07043,
        1.07691,
        1.09516,
        1.0987,
        1.08931,
        1.08192,
        1.06428,
        1.06291,
        1.06509,
        1.08908,
        1.08258,
        1.07614,
        1.09104,
        1.09732,
        1.1019,
        1.12334,
        1.12747,
        1.12384,
        1.09653,
        1.08754,
        1.098,
        1.12088,
        1.12039,
        1.123,
        1.12483,
        1.11374,
        1.09613,
        1.08589,
        1.11193,
        1.12441,
        1.13608,
        1.12809,
        1.11344,
        1.11546,
        1.11962,
        1.08953,
        1.09076,
        1.11279,
        1.10918,
        1.1086,
        1.08863,
        1.17687,
        1.1179,
        1.13373,
        1.11707,
        1.13528,
        1.14372,
        1.15028,
        1.18775,
        1.1678,
        1.14501,
        1.13448,
        1.15211,
        1.18551,
        1.18051,
        1.14683,
        1.10111,
        1.06312,
        1.08747,
        1.11765,
        1.13853,
        1.15114,
        1.2488,
        1.14949,
        1.14015,
        1.1109,
        1.11965,
        1.13753,
        1.11225,
        1.0645,
        1.06496,
        1.0914,
        1.09965,
        1.09838,
        1.08347,
        1.06734,
        1.0803,
        1.12381,
        1.08461,
        1.08931,
        1.09767,
        1.11532,
        1.1713,
        1.12937,
        1.09724,
        1.08301,
        1.09469,
        1.08972,
        1.08909,
        1.08215,
        1.06506,
        1.07872,
        1.09107,
        1.08143,
        1.07225,
        1.01699,
        1.01237,
        0.990005,
        0.946034,
        1.01563,
        1.00018,
        1.0517,
        1.01213,
        1.05786,
        1.0837,
        1.03449,
        1.02347,
        1.03677,
        1.02623,
        1.05348,
        1.03942,
        1.0337,
        1.0589,
        1.04819,
        1.0414,
        1.04576,
        1.01146,
        1.01127,
        1.02911,
        0.993941,
        1.00816,
        0.987162,
        0.98092,
        1.00405,
        1.0139,
        1.02795,
        1.01127,
        0.987052,
        0.995956,
        0.982773,
        1.02673,
        1.02006,
        0.99306,
        0.991464,
        1.0016,
        1.001,
        0.995999,
        0.985745,
        0.989007,
        1.0103,
        1.01157,
        0.995028,
        1.02221,
        1.01077,
        0.985061,
        1.01098,
        0.987252,
        1.00218,
        0.993727,
        0.997585,
        1.00273,
        1.02048,
        1.02922,
        1.02202,
        1.02133,
        1.01549,
        1.00483,
        0.989495,
        0.971177,
        0.977853,
        0.977451,
        1.00453,
        0.992241,
        1.00753,
        0.994061,
        0.994703,
        1.00557,
        1.00624,
        1.02284,
        1.02579,
        0.987282,
        0.967477,
        0.979043,
        0.980563,
        0.991251,
        0.963125,
        0.960018,
        0.96575,
        0.804104,
        0.840708,
        0.877678,
        0.922498,
        0.966648,
        0.91797,
        0.918524,
        0.963733,
        0.987542,
        0.979056,
        0.971476,
        0.982456,
        0.975829,
        0.983911,
        0.987679,
        0.979535,
        0.990493,
        1.02442,
        0.963689,
        1.0048,
        0.988066,
        0.994473,
        1.00548,
        0.989273,
        0.985051,
        0.98986,
        0.997328,
        1.0036,
        1.00577,
        1.00553,
        0.995307,
        0.993339,
        0.99839,
        1.02235,
        1.00594,
        1.02404,
        1.02108,
        1.01093,
        1.00957,
        1.01758,
        1.00677,
        1.01472,
        1.02253,
        1.01908,
        1.0207,
        1.01403,
        1.00144,
        1.01678,
        1.0334,
        1.03145,
        1.02541,
        1.02011,
        1.02683,
        1.03839,
        1.04438,
        1.02751,
        1.03662,
        1.04557,
        1.05429,
        1.03826,
        1.00783,
        1.01613,
        1.02475,
        1.04449,
        1.03365,
        1.04801,
        1.0727,
        1.06481,
        1.0396,
        1.02373,
        1.03088,
        1.02514,
        1.04013,
        1.04184,
        1.02912,
        1.02555,
        1.02725,
        1.02245,
        1.02155,
        1.02796,
        1.02899,
        1.03743,
        1.03176,
        1.03034,
        1.0318,
        1.02007,
        1.03078,
        1.02718,
        1.03778,
        1.02234,
        1.01691,
        1.01932,
        1.00213,
        1.00893,
        0.995101,
        0.986684,
        0.988103,
        0.991203,
        0.99193,
        0.989591,
        0.983256,
        0.981098,
        0.983561,
        0.981948,
        0.998537,
        1.00956,
        0.985077,
        0.977718,
        0.997525,
        1.00892,
        1.01148,
        0.981971,
        0.979999,
        1.00532,
        1.00229,
        1.01617,
        1.00757,
        0.997555,
        0.989919,
        1.02103,
        1.00528,
        1.01349,
        0.987706,
        1.02245,
        0.999774,
        1.00016,
        1.0088,
        1.02601,
        1.02385,
        1.01197,
        1.01609,
        1.02691,
        1.01825,
        1.01463,
        1.02768,
        1.01009,
        1.01624,
        1.02441,
        1.03119,
        1.03589,
        1.03841,
        1.03675,
        1.03928,
        1.02026,
        1.02708,
        1.03689,
        1.0158,
        1.01107,
        1.00313,
        1.00898,
        1.0126,
        1.01428,
        1.0075,
        1.00554,
        1.00183,
        1.00053,
        0.993995,
        1.00109,
        0.998628,
        0.980015,
        0.99041,
        0.996763,
        0.995587,
        0.996912,
        0.990239,
        0.994409,
        0.983021,
        0.98642,
        0.996005,
        0.976511,
        0.968584,
        0.968889,
        0.993124,
        0.98768,
        0.986965,
        0.985457,
        1.00064,
        1.02048,
        0.99158,
        1.0051,
        0.997255,
        0.986174,
        1.00897,
        1.01247,
        1.00089,
        1.00003,
        1.00218,
        1.00685,
        1.01224,
        1.00919,
        1.00169,
        1.0004,
        0.990708,
        0.989227,
        1.00031,
        1.01136,
        0.998291,
        0.988677,
        0.975724,
        0.990933,
        0.977111,
        1.00638,
        0.985856,
        0.978159,
        0.988828,
        0.993161,
        0.992283,
        0.98609,
        0.991707,
        0.994345,
        0.995884,
        0.987189,
        0.98614,
        0.986198,
        1.00435,
        1.01573,
        1.00243,
        0.981514,
        0.981393,
        0.979355,
        1.00806,
        0.976589,
        0.979596,
        0.982124,
        0.989242,
        0.988207,
        0.992178,
        0.996469,
        1.00284,
        0.997251,
        0.999065,
        1.01331,
        1.01738,
        1.01468,
        1.03095,
        1.00995,
        0.987087,
        1.0145,
        0.984082,
        1.05291,
        1.02841,
        0.977903,
        1.01677,
        1.00266,
        1.00636,
        1.01273,
        1.0027,
        1.01272,
        1.02361,
        1.02614,
        1.02595,
        1.00836,
        1.01206,
        1.00788,
        1.00384,
        1.01929,
        1.02337,
        1.02565,
        1.04317,
        1.04779,
        1.04455,
        1.03814,
        1.04191,
        1.04023,
        1.03978,
        1.05392,
        1.06973,
        1.05365,
        1.06376,
        1.06496,
        1.0468,
        1.06473,
        1.07873,
        1.0526,
        1.07482,
        1.09056,
        1.08071,
        1.07731,
        1.08243,
        1.08701,
        1.1021,
        1.10233,
        1.09499,
        1.11023,
        1.10409,
        1.1016,
        1.1044,
        1.11871,
        1.09696,
        1.10242,
        1.12249,
        1.13673,
        1.12871,
        1.11862,
        1.10724,
        1.12547,
        1.12895,
        1.11301,
        1.09836,
        1.12165,
        1.1208,
        1.11379,
        1.12125,
        1.11456,
        1.11283,
        1.10379,
        1.10976,
        1.12245,
        1.12355,
        1.13049,
        1.11234,
        1.11197,
        1.10783,
        1.11759,
        1.10925,
        1.11925,
        1.11691,
        1.11832,
        1.11313,
        1.08785,
        1.02463,
        0.964582,
        0.993343,
        1.08323,
        1.14571,
        1.14873,
        1.13394,
        1.13564,
        1.11837,
        1.09683,
        1.13982,
        1.1555,
        1.15124,
        1.14442,
        1.13075,
        1.11893,
        1.1472,
        1.12085,
        1.12756,
        1.11543,
        1.14587,
        1.13243,
        1.13693,
        1.1158,
        1.09276,
        1.08257,
        1.11116,
        1.09576,
        1.0819,
        1.10569,
        1.10513,
        1.09211,
        1.09462,
        1.09165,
        1.09663,
        1.08396,
        1.08207,
        1.09426,
        1.09868,
        1.07535,
        1.06563,
        1.05242,
        1.06366,
        1.05882,
        1.05806,
        1.05583,
        1.06898,
        1.07156,
        1.06591,
        1.07476,
        1.08067,
        1.08406,
        1.0799,
        1.06039,
        1.06669,
        1.05422,
        0.965613,
        0.994442,
        1.02278,
        1.03052,
        1.04111,
        1.07207,
        1.04621,
        1.04889,
        1.08198,
        1.06547,
        1.04793,
        1.05897,
        1.07173,
        1.06356,
        1.04229,
        1.03019,
        1.03577,
        1.03474,
        1.029,
        1.04418,
        1.03271,
        1.02912,
        1.03971,
        1.02858,
        0.999852,
        1.01292,
        1.00547,
        1.01952,
        0.999787,
        1.02185,
        1.02482,
        1.01917,
        1.00694,
        1.01114,
        1.00993,
        1.02417,
        1.02535,
        1.01217,
        1.01299,
        1.01119,
        1.00981,
        1.0123,
        1.0135,
        1.02499,
        1.01148,
        0.992857,
        1.04878,
        1.02502,
        0.983865,
        1.02272,
        1.01404,
        1.00547,
        0.974993,
        1.00616,
        0.988469,
        0.990008,
        0.989323,
        0.990433,
        0.989146,
        0.999632,
        0.993131,
        0.974106,
        0.969547,
        0.977708,
        0.963564,
        0.964886,
        0.971863,
        0.975419,
        0.980862,
        0.965825,
        0.954488,
        0.957786,
        0.956664,
        0.969798,
        0.939713,
        0.940436,
        0.984579,
        0.988431,
        0.979771,
        0.989302,
        0.974025,
        0.987369,
        0.995337,
        0.976265,
        0.97889,
        0.991351,
        0.974416,
        0.993695,
        0.985647,
        0.9834,
        0.994837,
        0.991841,
        0.990147,
        1.00339,
        1.00419,
        0.999626,
        1.01274,
        1.02215,
        1.02158,
        1.01124,
        0.987475,
        1.00042,
        1.01766,
        1.01178,
        1.0125,
        1.01419,
        1.03204,
        1.03866,
        1.01318,
        1.04475,
        1.02239,
        1.02704,
        1.02609,
        1.0037,
        1.01949,
        1.04246,
        1.03202,
        1.0114,
        1.01407,
        1.03329,
        1.03632,
        1.04341,
        1.05102,
        1.04504,
        1.04097,
        1.03441,
        1.02783,
        1.03016,
        1.03101,
        1.02475,
        1.02757,
        1.0268,
        1.00615,
        1.02373,
        1.0336,
        1.02581,
        1.03318,
        1.01799,
        1.02178,
        1.03786,
        1.04624,
        1.03539,
        1.01442,
        0.988557,
        0.869863,
        0.873852,
        1.03558,
        0.982853,
        0.997288,
        0.991348,
        0.984376,
        0.992866,
        0.999034,
        0.976353,
        0.994699,
        0.996827,
        0.999356,
        0.988876,
        1.04392,
        1.02655,
        0.976029,
        1.01014,
        1.0326,
        1.01725,
        1.00104,
        1.00451,
        1.0038,
        1.00275,
        1.01447,
        1.00468,
        0.999853,
        1.01899,
        1.02601,
        1.01949,
        1.01206,
        1.00582,
        1.01853,
        1.02383,
        1.00223,
        1.01094,
        1.02875,
        1.01351,
        1.0109,
        1.02319,
        1.03115,
        1.02989,
        1.01462,
        1.02728,
        1.00287,
        1.02044,
        1.02731,
        0.998815,
        1.004,
        1.02479,
        1.02321,
        1.00065,
        0.983841,
        0.990155,
        0.999604,
        1.01348,
        1.02539,
        1.02319,
        1.02705,
        1.02396,
        0.999315,
        0.982749,
        0.993354,
        1.01341,
        1.00675,
        1.00576,
        1.0036,
        1.03434,
        0.998013,
        0.969564,
        1.01143,
        1.00282,
        1.00852,
        0.986391,
        0.989564,
        1.03183,
        0.995769,
        1.00916,
        1.0077,
        0.977018,
        0.972999,
        0.995067,
        0.997684,
        0.993567,
        0.999935,
        0.995796,
        0.982252,
        0.973069,
        0.983264,
        0.992303,
        0.994559,
        0.998461,
        0.996692,
        0.996209,
        0.996384,
        0.986769,
        0.980107,
        0.98233,
        0.995507,
        0.989105,
        1.00794,
        0.984469,
        0.959771,
        0.968373,
        0.995201,
        0.976606,
        0.990887,
        0.990027,
        0.988021,
        0.973519,
        0.975542,
        0.983985,
        0.992391,
        0.948258,
        0.918603,
        0.969423,
        0.966927,
        0.97247,
        0.968938,
        0.974,
        1.00483,
        1.00166,
        0.985034,
        0.997807,
        1.01939,
        1.00194,
        0.971315,
        0.975604,
        0.966055,
        0.985033,
        0.985964,
        0.956778,
        0.961713,
        0.985012,
        0.998024,
        0.957727,
        1.03866,
        0.995943,
        0.963832,
        0.970652,
        0.983676,
        0.981191,
        1.02506,
        0.967697,
        0.958036,
        0.961194,
        0.992311,
        0.994813,
        0.970443,
        0.983815,
        1.00529,
        1.0002,
        0.980151,
        0.975962,
        0.979219,
        0.993257,
        1.00066,
        0.983961,
        0.979583,
        0.973245,
        0.977097,
        0.986837,
        1.00933,
        1.01611,
        1.00811,
        0.995483,
        0.962112,
        0.965407,
        1.00866,
        0.999121,
        1.00549,
        0.977243,
        0.990813,
        0.979656,
        0.998222,
        1.00581,
        0.988957,
        1.00984,
        0.977406,
        0.997171,
        1.02265,
        1.00615,
        0.996781,
        1.00496,
        1.00058,
        0.994419,
        1.00608,
        1.02077,
        1.03817,
        1.02001,
        1.01079,
        1.02814,
        1.00782,
        0.96419,
        0.897497,
        0.832483,
        0.863707,
        0.994979,
        1.02253,
        1.00218,
        1.01095,
        1.04013,
        1.02173,
        1.002,
        1.01298,
        1.01079,
        1.03102,
        1.03976,
        1.02562,
        1.01944,
        1.04017,
        1.08036,
        1.05748,
        1.07013,
        1.02948,
        1.05577,
        1.06446,
        1.07822,
        1.07285,
        1.07398,
        1.07646,
        1.07841,
        1.08737,
        1.06483,
        1.07191,
        1.11982,
        1.12438,
        1.0996,
        1.10165,
        1.11519,
        1.1123,
        1.09918,
        1.08922,
        1.09229,
        1.11047,
        1.09517,
        1.08627,
        1.11235,
        1.12822,
        1.12232,
        1.14269,
        1.13943,
        1.13702,
        1.16441,
        1.05565,
        1.01235,
        1.10541,
        1.12597,
        1.11263,
        1.12758,
        1.14489,
        1.15597,
        1.14712,
        1.12067,
        1.10809,
        1.11698,
        1.13146,
        1.14213,
        1.14422,
        1.12261,
        1.14784,
        1.16281,
        1.16495,
        1.15072,
        1.14938,
        1.13623,
        1.11159,
        1.11474,
        1.12131,
        1.13539,
        1.15731,
        1.15897,
        1.15371,
        1.14671,
        1.16516,
        1.14883,
        1.14716,
        1.17655,
        1.15896,
        1.10584,
        1.08966,
        1.2204,
        1.29417,
        1.14999,
        1.09886,
        1.09138,
        1.08978,
        1.09093,
        1.09178,
        1.0553,
        1.06779,
        1.06323,
        1.07177,
        1.0846,
        1.09922,
        1.10475,
        1.10221,
        1.07544,
        1.06613,
        1.08259,
        1.09769,
        1.09729,
        1.07843,
        1.07494,
        1.08106,
        1.08338,
        1.09829,
        1.09822,
        1.09457,
        1.08545,
        1.07734,
        1.08191,
        1.09271,
        1.09066,
        1.07236,
        1.08672,
        1.0937,
        1.09904,
        1.07978,
        1.07933,
        1.05913,
        1.06767,
        1.0573,
        1.06168,
        1.03178,
        1.05302,
        1.04426,
        1.04422,
        1.01645,
        1.0533,
        1.02584,
        1.03952,
        1.04347,
        1.0173,
        1.02615,
        1.00393,
        1.01649,
        0.995284,
        1.0062,
        1.02535,
        1.01193,
        0.998793,
        0.982477,
        0.98698,
        1.01372,
        1.01072,
        0.984179,
        0.981186,
        0.990516,
        0.992302,
        1.00328,
        1.00367,
        0.985012,
        0.984167,
        0.989187,
        0.991551,
        1.00029,
        1.00029,
        0.983643,
        0.989294,
        1.00093,
        1.02383,
        1.01529,
        1.0289,
        1.02506,
        1.02045,
        1.01549,
        1.01562,
        0.9859,
        0.984855,
        0.99852,
        0.99327,
        1.00959,
        1.01548,
        1.00014,
        1.00766,
        1.02227,
        1.01226,
        1.00153,
        1.00346,
        1.00419,
        1.0076,
        1.02137,
        1.00352,
        0.997552,
        1.01282,
        1.01053,
        0.999264,
        0.984545,
        0.985447,
        1.00626,
        1.0136,
        1.00563,
        1.02711,
        1.00045,
        0.967293,
        1.00193,
        1.02736,
        1.01538,
        1.00325,
        1.00217,
        1.0318,
        1.01617,
        1.01467,
        1.05223,
        1.01672,
        0.993732,
        1.04116,
        1.01892,
        1.03151,
        1.02518,
        1.02735,
        1.02934,
        1.03306,
        1.03909,
        1.03405,
        1.03856,
        1.03343,
        1.02556,
        1.03076,
        1.0131,
        0.994032,
        1.00049,
        0.996085,
        0.996128,
        1.00506,
        1.0135,
        1.03543,
        1.02406,
        0.990576,
        1.00152,
        1.01381,
        1.00036,
        1.02656,
        1.01935,
        0.99527,
        1.00101,
        1.00426,
        1.01937,
        0.99167,
        1.0312,
        0.996733,
        0.974138,
        0.983931,
        0.948951,
        0.963446,
        1.00104,
        1.0612,
        1.01147,
        0.999363,
        1.01382,
        1.03718,
        1.02229,
        1.07311,
        0.978121,
        0.950634,
        1.03939,
        1.0277,
        1.02967,
        1.03419,
        1.03181,
        1.00317,
        1.02009,
        1.04046,
        1.02447,
        1.01032,
        1.01904,
        1.01309,
        0.997422,
        1.00212,
        1.00147,
        1.03339,
        1.05091,
        1.02346,
        1.02867,
        null,
        0.98771,
        0.984389,
        0.981067,
        0.978046,
        0.978158,
        0.99033,
        0.973078,
        0.988443,
        0.974637,
        0.987989,
        0.989842,
        0.988653,
        0.984702,
        0.97535,
        0.984521,
        0.995178,
        1.03241,
        0.992643,
        0.988373,
        0.993477,
        0.990509,
        0.970719,
        0.970123,
        0.97466,
        0.962771,
        0.963796,
        0.948426,
        1.00083,
        0.966555,
        0.96398,
        0.95741,
        0.958856,
        0.953917,
        0.972172,
        0.988584,
        0.970593,
        0.971038,
        0.971168,
        0.971106,
        0.998989,
        0.995301,
        0.986378,
        0.983101,
        0.984757,
        0.98047,
        0.968646,
        0.964313,
        0.975254,
        0.978729,
        0.980292,
        0.981318,
        0.99108,
        0.977818,
        0.967634,
        0.965655,
        0.967578,
        0.973534,
        0.97533,
        0.960194,
        0.96068,
        0.9787,
        0.985905,
        0.922353,
        0.979723,
        0.98835,
        0.976702,
        0.969489,
        0.961982,
        0.96207,
        0.971269,
        0.995549,
        0.973677,
        0.979447,
        1.00156,
        0.992697,
        0.994743,
        1.00885,
        1.00361,
        0.98514,
        0.979384,
        0.97746,
        0.984263,
        1.00714,
        1.01091,
        1.0086,
        1.00544,
        1.00082,
        0.992526,
        0.989345,
        0.99058,
        0.99072,
        0.993052,
        0.994252,
        1.01238,
        0.97965,
        1.02467,
        1.01832,
        0.980468,
        0.990633,
        1.0118,
        0.996677,
        0.98026,
        1.00103,
        1.00948,
        1.01257,
        0.957027,
        1.00193,
        1.02018,
        1.01292,
        0.99609,
        0.987968,
        0.999116,
        1.00861,
        1.00076,
        1.01517,
        1.00858,
        1.01034,
        1.01364,
        1.02019,
        1.00873,
        1.00487,
        1.00603,
        1.01425,
        1.02481,
        1.03254,
        1.05205,
        1.03639,
        1.01136,
        1.02522,
        1.03137,
        1.02103,
        1.03204,
        1.04979,
        1.04953,
        1.03445,
        1.02627,
        1.03382,
        1.04457,
        1.05915,
        1.08311,
        1.08368,
        1.04598,
        1.05746,
        1.05906,
        1.0586,
        1.05915,
        1.04888,
        1.05584,
        1.06717,
        1.07934,
        1.08411,
        1.0652,
        1.08301,
        1.09143,
        1.08254,
        1.08865,
        1.09884,
        1.10303,
        1.11469,
        1.11204,
        1.10973,
        1.10527,
        1.11416,
        1.10072,
        1.10893,
        1.11123,
        1.12524,
        1.13687,
        1.11827,
        1.10212,
        1.13684,
        1.14019,
        1.11981,
        1.11033,
        1.12552,
        1.12589,
        1.11942,
        1.10437,
        1.09473,
        1.10637,
        1.11644,
        1.09165,
        1.07535,
        1.13008,
        1.12331,
        1.1027,
        1.1073,
        1.08771,
        1.08832,
        1.0997,
        1.09999,
        1.10083,
        1.11802,
        1.12958,
        1.11772,
        1.10385,
        1.16233,
        1.14278,
        1.1477,
        1.12404,
        1.13535,
        1.14751,
        1.13585,
        1.13571,
        1.14473,
        1.12172,
        1.12225,
        1.13276,
        1.13472,
        1.13904,
        1.14534,
        1.1321,
        1.14163,
        1.15346,
        1.12778,
        1.03589,
        1.08523,
        1.10823,
        1.10623,
        1.11377,
        1.12108,
        1.1427,
        1.15523,
        1.13041,
        1.11238,
        1.12029,
        1.118,
        1.09825,
        1.09364,
        1.1039,
        1.10413,
        1.1026,
        1.11023,
        1.10091,
        1.08595,
        1.1057,
        1.1246,
        1.09675,
        1.08336,
        1.08432,
        1.0758,
        1.06903,
        1.0765,
        1.07802,
        1.08611,
        1.07201,
        1.06016,
        1.0939,
        1.06446,
        1.06486,
        1.06704,
        1.08129,
        1.08564,
        1.06382,
        1.04688,
        1.04492,
        1.08461,
        1.04428,
        1.01363,
        1.02328,
        1.03633,
        1.02152,
        1.01361,
        1.01262,
        1.00726,
        1.00841,
        1.01667,
        1.00167,
        0.99191,
        0.99941,
        0.998422,
        1.00177,
        0.989293,
        0.980897,
        0.978476,
        0.985514,
        0.994936,
        0.988248,
        0.972659,
        0.982605,
        0.974364,
        0.972899,
        0.979664,
        0.982901,
        0.985713,
        0.974164,
        0.975195,
        0.97808,
        0.974968,
        0.974618,
        0.979217,
        1.00427,
        0.985955,
        0.9684,
        0.997637,
        0.987659,
        0.987049,
        0.992254,
        1.0076,
        0.993942,
        0.965938,
        0.977721,
        1.00442,
        0.999987,
        1.01404,
        1.03614,
        1.05795,
        1.03022,
        0.996783,
        1.00233,
        1.01043,
        1.01929,
        1.03294,
        1.03471,
        1.02716,
        1.02044,
        1.03482,
        1.04313,
        1.02392,
        1.03348,
        1.02157,
        1.02095,
        1.02859,
        1.02596,
        1.02505,
        1.04287,
        1.05851,
        1.05226,
        1.04294,
        1.00421,
        1.00393,
        1.03229,
        1.04922,
        1.0391,
        0.97942,
        0.947181,
        0.996162,
        1.04473,
        1.03455,
        1.08905,
        1.0582,
        1.0171,
        1.0331,
        1.00714,
        0.991728,
        0.994007,
        0.997295,
        1.01519,
        1.0288,
        1.02099,
        1.01689,
        1.00601,
        1.0008,
        1.00705,
        0.996228,
        0.996385,
        0.959468,
        0.94354,
        0.932859,
        0.954336,
        0.965372,
        0.945883,
        0.973906,
        1.04244,
        1.06041,
        0.996314,
        0.934939,
        1.01777,
        0.954257,
        1.00048,
        1.01563,
        1.02646,
        1.04456,
        1.02326,
        1.01444,
        1.00751,
        1.00358,
        1.00669,
        1.02492,
        1.05734,
        1.0551,
        1.01285,
        0.995426,
        1.02006,
        1.01045,
        1.015,
        1.02446,
        1.00384,
        1.00862,
        1.01156,
        0.991804,
        0.987317,
        0.981685,
        0.998934,
        1.00922,
        0.997538,
        1.02291,
        1.01044,
        1.00626,
        1.02474,
        1.02402,
        1.00613,
        1.00049,
        1.00771,
        1.01345,
        1.02749,
        1.03386,
        0.986825,
        0.980418,
        1.04286,
        1.02945,
        1.02394,
        0.999193,
        0.984952,
        0.989272,
        0.990135,
        0.98824,
        0.993595,
        0.989766,
        0.976469,
        0.986094,
        0.992379,
        1.00325,
        0.990735,
        0.970373,
        0.968475,
        0.979232,
        0.981593,
        0.972316,
        0.965105,
        0.9718,
        1.00093,
        1.02185,
        0.939029,
        0.954624,
        0.97455,
        0.972499,
        0.998774,
        1.0104,
        1.00065,
        0.977786,
        0.967886,
        0.995179,
        0.963929,
        0.985488,
        1.01898,
        1.01302,
        0.989618,
        0.991238,
        0.993449,
        0.985777,
        0.976978,
        0.980594,
        0.989075,
        0.972736,
        0.917479,
        0.865525,
        0.911249,
        0.973039,
        0.982985,
        0.98637,
        0.992045,
        0.993731,
        0.993015,
        0.990343,
        0.984524,
        0.977845,
        0.979082,
        0.99251,
        0.995024,
        0.97534,
        0.957364,
        0.974399,
        0.995373,
        0.978751,
        0.98386,
        0.983388,
        0.972647,
        0.962608,
        0.960799,
        0.969534,
        0.976404,
        1.00336,
        0.965617,
        0.937535,
        0.980275,
        0.953924,
        0.984593,
        0.991754,
        0.989356,
        0.980817,
        0.970296,
        0.981764,
        0.986488,
        0.93611,
        0.955895,
        1.00856,
        0.974384,
        0.99195,
        0.997092,
        0.993793,
        0.978464,
        0.968805,
        0.972616,
        0.985766,
        0.990704,
        0.978252,
        0.978894,
        0.983847,
        0.971023,
        0.97319,
        0.975385,
        0.970554,
        0.973196,
        0.984898,
        0.992278,
        0.987592,
        0.994136,
        1.00208,
        0.980385,
        0.985396,
        0.986899,
        0.995814,
        0.987532,
        0.969771,
        0.973225,
        0.941523,
        0.974314,
        1.00593,
        0.943411,
        0.967048,
        0.960719,
        0.972091,
        0.971971,
        0.964737,
        0.964539,
        0.963784,
        0.964116,
        0.97005,
        0.961993,
        0.967216,
        0.96732,
        0.914223,
        0.960027,
        0.974669,
        0.963378,
        0.942887,
        0.946615,
        0.954354,
        0.960895,
        0.973175,
        0.985663,
        0.995844,
        0.990659,
        0.974713,
        0.966715,
        0.984636,
        1.00069,
        1.00701,
        0.989747,
        0.976223,
        0.979654,
        0.996466,
        1.01131,
        1.01111,
        1.00307,
        1.00056,
        0.998505,
        0.991306,
        0.995673,
        1.00805,
        0.997106,
        0.991926,
        1.00408,
        1.00555,
        1.01108,
        1.01301,
        1.00869,
        1.01948,
        1.01717,
        0.995938,
        1.00851,
        1.01663,
        1.03363,
        1.03122,
        1.01856,
        1.02058,
        1.03027,
        1.02418,
        1.02013,
        1.02774,
        1.0327,
        1.03829,
        1.04312,
        1.03768,
        1.0211,
        1.05058,
        1.05279,
        1.05932,
        1.0745,
        1.07899,
        1.09778,
        1.08581,
        1.07303,
        1.09553,
        1.10422,
        1.10119,
        1.08393,
        1.0809,
        1.09328,
        1.10532,
        1.10921,
        1.1132,
        1.11441,
        1.11537,
        1.12221,
        1.12641,
        1.1279,
        1.1328,
        1.13209,
        1.13095,
        1.15355,
        1.12368,
        1.11741,
        1.1308,
        1.12668,
        1.13756,
        1.14506,
        1.12501,
        1.11025,
        1.11409,
        1.11075,
        1.1013,
        1.10455,
        1.08668,
        1.09271,
        1.13453,
        1.1306,
        1.13378,
        1.14288,
        1.14301,
        1.12669,
        1.118,
        1.11652,
        1.11017,
        1.10998,
        1.11824,
        1.10401,
        1.08621,
        1.12327,
        1.14609,
        1.13584,
        1.11636,
        1.11382,
        1.12996,
        1.11144,
        1.13739,
        1.15645,
        1.13444,
        1.12066,
        1.1217,
        1.13612,
        1.15677,
        1.17562,
        1.16882,
        1.19213,
        1.16836,
        1.15198,
        1.12624,
        1.14163,
        1.14201,
        1.14149,
        1.15088,
        1.15717,
        1.11857,
        1.10596,
        1.0935,
        1.0931,
        1.1116,
        1.11821,
        1.09905,
        1.08444,
        1.09841,
        1.10838,
        1.09941,
        1.06321,
        1.07365,
        1.08245,
        1.10146,
        1.09813,
        1.08645,
        1.07397,
        1.08263,
        1.10358,
        1.10579,
        1.0955,
        1.09356,
        1.08385,
        1.10351,
        1.07565,
        1.08206,
        1.09254,
        1.11127,
        1.11966,
        1.07768,
        1.0704,
        1.09805,
        1.0869,
        1.02905,
        0.979881,
        0.955862,
        0.955465,
        null,
        0.994764,
        0.975732,
        0.987752,
        0.969274,
        0.99578,
        1.03287,
        1.02581,
        1.01152,
        1.02188,
        1.02606,
        1.02982,
        1.03609,
        1.04079,
        1.0319,
        1.00926,
        1.03526,
        1.00761,
        1.00032,
        1.03124,
        1.00239,
        0.977611,
        1.0113,
        1.04698,
        1.03401,
        0.950008,
        0.995753,
        0.934375,
        1.00291,
        1.02966,
        1.04169,
        1.01594,
        1.02063,
        1.02513,
        1.01852,
        1.02928,
        1.04326,
        1.02458,
        0.987605,
        0.979988,
        1.0055,
        0.998822,
        0.996547,
        0.98187,
        0.986658,
        1.00967,
        1.02576,
        1.00971,
        0.999313,
        1.00397,
        1.00418,
        0.99612,
        0.988549,
        0.986585,
        0.992757,
        0.994368,
        0.997382,
        0.989282,
        0.996209,
        0.993659,
        0.997551,
        0.984411,
        0.988814,
        1.00358,
        1.00184,
        1.00186,
        1.00497,
        0.997828,
        0.991612,
        0.977225,
        0.956644,
        1.00388,
        0.994674,
        0.993512,
        1.00705,
        1.03582,
        1.01332,
        0.99318,
        0.98811,
        0.982943,
        1.00835,
        1.02878,
        1.00465,
        0.988126,
        0.990091,
        0.987542,
        1.00036,
        1.00653,
        1.00582,
        1.00141,
        0.992141,
        0.985611,
        0.989063,
        0.99493,
        0.998434,
        1.00808,
        1.00332,
        0.989078,
        1.004,
        1.01885,
        1.01745,
        1.01189,
        1.03003,
        1.02505,
        1.02873,
        1.01285,
        0.981875,
        0.986209,
        0.982166,
        1.00251,
        1.02331,
        1.00066,
        0.977341,
        1.00111,
        1.02019,
        0.998116,
        0.984332,
        0.979475,
        0.983949,
        0.98352,
        1.00241,
        1.00992,
        0.998377,
        0.984019,
        0.984866,
        0.968496,
        0.922612,
        0.894521,
        0.916826,
        0.956101,
        0.970731,
        0.985606,
        1.02267,
        0.998958,
        1.01342,
        1.0324,
        0.998332,
        0.976819,
        0.982535,
        0.995501,
        0.990081,
        0.992439,
        0.998395,
        0.997956,
        1.00997,
        0.993042,
        0.994364,
        0.993603,
        0.980501,
        0.961808,
        0.962274,
        0.983742,
        0.976404,
        0.998535,
        0.948833,
        0.967625,
        0.985733,
        0.997947,
        1.01839,
        0.97412,
        0.978343,
        1.01256,
        1.01445,
        0.966046,
        0.964514,
        0.996573,
        0.991098,
        0.978169,
        0.989357,
        0.974818,
        0.975146,
        0.989513,
        0.9828,
        0.968617,
        0.977967,
        0.994492,
        0.992276,
        0.983324,
        0.942142,
        0.959914,
        0.975049,
        0.999999,
        0.993422,
        0.977435,
        0.989335,
        1.01131,
        1.00818,
        1.00728,
        1.00727,
        0.987911,
        0.982248,
        1.00545,
        0.999227,
        0.982446,
        1.00576,
        1.0009,
        1.0005,
        0.993729,
        1.00298,
        0.986191,
        0.991848,
        1.00697,
        1.00313,
        0.977521,
        0.98169,
        1.00658,
        1.00132,
        0.995914,
        0.992221,
        0.990555,
        0.979224,
        1.01533,
        0.981962,
        0.978591,
        0.987457,
        0.978735,
        0.97639,
        1.00703,
        1.01477,
        0.990165,
        0.976323,
        0.988584,
        1.00211,
        1.00642,
        1.01594,
        1.00293,
        1.005,
        1.01477,
        0.998419,
        0.980536,
        1.00448,
        1.02416,
        1.0044,
        1.00354,
        1.00936,
        0.994453,
        0.988135,
        0.99617,
        0.991476,
        0.99234,
        1.00621,
        0.98966,
        0.988282,
        1.01879,
        0.991616,
        0.962349,
        1.02004,
        1.00837,
        0.995663,
        1.01349,
        1.00037,
        1.00332,
        1.00889,
        0.995955,
        0.992739,
        0.979135,
        0.973107,
        1.00816,
        1.04059,
        0.996354,
        0.985059,
        0.964763,
        0.991471,
        1.01174,
        0.995879,
        1.0119,
        1.00826,
        1.00218,
        1.0,
        0.998487,
        1.00146,
        1.00004,
        0.996617,
        0.983264,
        1.00921,
        1.02211,
        1.03503,
        1.01693,
        0.999586,
        1.01606,
        1.02376,
        1.0089,
        0.973158,
        0.957117,
        0.978133,
        0.986492,
        0.978846,
        0.959624,
        0.941335,
        1.01773,
        0.963316,
        0.995733,
        0.986307,
        0.999654,
        0.982223,
        0.994671,
        0.978477,
        0.986862,
        0.975336,
        0.962251,
        0.967166,
        0.979134,
        0.991864,
        1.01479,
        null,
        1.03615,
        1.01115,
        0.986146,
        0.963508,
        0.957245,
        0.988444,
        0.981034,
        0.993873,
        1.00066,
        0.957207,
        0.95897,
        0.979555,
        0.984686,
        0.978487,
        0.977903,
        0.983769,
        0.986108,
        0.988345,
        0.97171,
        0.960141,
        0.991437,
        1.00471,
        0.998041,
        1.00651,
        0.996993,
        0.981328,
        0.989712,
        0.970334,
        0.976852,
        0.999104,
        0.997602,
        1.00256,
        0.999101,
        0.987093,
        1.00362,
        1.00485,
        0.980376,
        0.991059,
        1.00771,
        0.997793,
        1.00233,
        1.00545,
        1.01343,
        1.00241,
        0.991821,
        0.988896,
        0.988361,
        1.03406,
        0.960119,
        0.971688,
        1.01109,
        1.02348,
        1.01815,
        0.993705,
        0.977063,
        0.983971,
        0.995517,
        0.995292,
        0.970545,
        0.980898,
        1.02293,
        0.975962,
        0.967127,
        0.990736,
        0.94746,
        1.00418,
        0.956268,
        1.02671,
        1.03985,
        0.992926,
        0.96922,
        1.0073,
        1.02896,
        1.0087,
        0.962406,
        0.974914,
        1.00036,
        0.977045,
        1.0006,
        0.995632,
        1.00595,
        0.992434,
        0.978399,
        0.977135,
        1.00658,
        0.997234,
        0.994383,
        0.965606,
        0.97309,
        1.00778,
        1.00509,
        0.999207,
        0.992589,
        0.988592,
        0.992799,
        0.991923,
        0.998837,
        1.01357,
        1.00706,
        0.988295,
        0.992406,
        0.995435,
        1.00486,
        0.937195,
        1.01487,
        0.98475,
        0.985066,
        0.99388,
        0.99743,
        0.994761,
        1.01636,
        1.01121,
        0.97808,
        0.978354,
        1.00376,
        1.01445,
        1.01834,
        1.01476,
        0.979235,
        0.950791,
        0.975731,
        0.987859,
        0.984027,
        0.980718,
        1.00088,
        0.985174,
        0.979106,
        0.982955,
        0.994588,
        0.993447,
        0.978042,
        0.991773,
        1.00449,
        0.975429,
        0.957147,
        0.959317,
        0.957587,
        0.970136,
        0.984784,
        0.972756,
        0.964875,
        0.964368,
        0.96605,
        0.969398,
        0.979291,
        0.959606,
        0.95914,
        0.964607,
        1.00291,
        0.994493,
        0.982082,
        0.981817,
        0.986523,
        0.992313,
        0.974761,
        0.965715,
        0.970363,
        0.988877,
        0.996913,
        0.98385,
        0.977806,
        0.963877,
        0.975334,
        0.983145,
        0.995065,
        0.996756,
        0.989459,
        0.955997,
        0.974337,
        0.99424,
        0.98983,
        1.0019,
        0.988421,
        0.983304,
        0.987509,
        0.970982,
        0.96372,
        0.969479,
        0.971732,
        0.977021,
        0.98078,
        0.980134,
        0.984237,
        0.986662,
        1.00366,
        1.00044,
        0.968795,
        1.01569,
        0.997521,
        1.01089,
        1.01439,
        0.973921,
        0.993498,
        1.03547,
        1.0177,
        1.03014,
        1.03614,
        1.02053,
        1.02081,
        1.01568,
        1.01089,
        1.03587,
        1.04903,
        1.03836,
        1.0554,
        1.07109,
        1.05905,
        1.04802,
        1.03176,
        1.03879,
        1.07936,
        1.05072,
        1.05443,
        1.07323,
        1.04419,
        1.04978,
        1.05217,
        1.08688,
        1.09808,
        1.08586,
        1.10006,
        1.08792,
        1.06938,
        1.069,
        1.0847,
        1.10759,
        1.10126,
        1.08122,
        1.10146,
        1.12755,
        1.11515,
        1.12589,
        1.1523,
        1.08252,
        1.13716,
        1.11697,
        1.05723,
        1.08216,
        1.09567,
        1.09259,
        1.11017,
        1.10342,
        1.0959,
        1.10958,
        1.1134,
        1.15895,
        1.19619,
        1.07317,
        1.13046,
        1.12311,
        1.0085,
        1.09601,
        1.06708,
        1.09294,
        1.12034,
        1.13363,
        1.11639,
        1.12565,
        1.12501,
        1.11889,
        1.11383,
        1.10785,
        1.09586,
        1.10759,
        1.11387,
        1.11616,
        1.11369,
        1.10622,
        1.13913,
        1.15484,
        1.12113,
        1.11923,
        1.11724,
        1.10919,
        1.15174,
        1.09211,
        0.836597,
        1.13064,
        1.14803,
        1.10206,
        1.15835,
        1.11747,
        1.05182,
        1.08816,
        1.11551,
        1.11756,
        1.10843,
        1.09185,
        1.06529,
        1.06412,
        1.09172,
        1.09685,
        1.08465,
        1.08829,
        1.08858,
        1.096,
        1.2143,
        1.14438,
        1.01892,
        1.09615,
        1.06593,
        1.07536,
        1.0914,
        1.11881,
        1.08769,
        1.10284,
        1.09785,
        1.13871,
        1.14853,
        1.16132,
        1.16282,
        1.15329,
        1.1452,
        1.1279,
        1.11625,
        1.11241,
        1.10932,
        1.12072,
        1.1127,
        1.11209,
        1.08752,
        1.09721,
        1.11367,
        1.10195,
        1.09913,
        1.10041,
        1.10849,
        1.09239,
        1.07531,
        1.06803,
        1.05785,
        1.07049,
        1.07803,
        1.07357,
        1.06561,
        1.04979,
        1.04415,
        1.05214,
        1.03755,
        1.02393,
        1.02644,
        1.01927,
        1.04069,
        1.03649,
        1.01593,
        1.02263,
        1.03479,
        1.01889,
        1.01711,
        1.02536,
        1.00935,
        0.995226,
        1.0117,
        1.0268,
        1.00138,
        0.995588,
        1.00625,
        1.0107,
        1.00204,
        1.00344,
        1.00786,
        1.00557,
        1.00153,
        1.00303,
        1.01102,
        1.01303,
        1.01552,
        1.02993,
        1.02817,
        1.03609,
        1.04652,
        1.02119,
        1.01942,
        1.0247,
        1.01542,
        1.00683,
        1.02498,
        1.04294,
        1.01055,
        1.00444,
        1.011,
        1.02163,
        1.02298,
        1.0274,
        1.03268,
        1.01771,
        1.00661,
        1.0091,
        1.01393,
        1.02132,
        1.00291,
        0.982866,
        1.01171,
        1.02637,
        1.0318,
        1.02156,
        1.02687,
        1.01168,
        1.01566,
        1.03435,
        1.00335,
        1.02084,
        1.0562,
        1.02698,
        1.01857,
        1.04312,
        1.03931,
        1.02115,
        1.00629,
        1.01296,
        1.00347,
        0.988967,
        0.99744,
        1.00138,
        1.00244,
        1.02173,
        1.03457,
        1.02134,
        1.00016,
        0.995125,
        1.00695,
        1.0283,
        1.06572,
        1.03761,
        0.964544,
        0.988058,
        0.999051,
        0.969745,
        0.959125,
        0.977282,
        0.968702,
        0.971115,
        0.977133,
        0.976509,
        0.981806,
        0.996696,
        0.985038,
        0.977878,
        0.981667,
        0.956845,
        0.968236,
        0.990481,
        0.973474,
        0.955024,
        0.971244,
        0.985815,
        0.952916,
        0.963955,
        0.963534,
        0.950839,
        0.957713,
        0.962623,
        0.940581,
        0.975959,
        0.974028,
        0.968555,
        0.97477,
        0.968089,
        0.976329,
        0.981914,
        0.971457,
        0.975839,
        0.968702,
        0.962694,
        0.978533,
        0.990811,
        0.988196,
        0.969666,
        0.95338,
        0.962993,
        0.971457,
        0.958133,
        0.962496,
        0.972576,
        0.97596,
        0.976766,
        0.968363,
        0.935227,
        0.975611,
        0.9748,
        1.00694,
        0.985806,
        0.990884,
        1.0149,
        0.980406,
        0.985647,
        0.976056,
        0.976356,
        0.986823,
        0.981113,
        0.96712,
        0.975448,
        0.982303,
        0.977153,
        0.984396,
        0.984949,
        0.977416,
        0.969445,
        0.960515,
        0.968485,
        0.981081,
        0.978939,
        0.978357,
        0.978044,
        0.985395,
        0.975109,
        0.967961,
        1.01684,
        1.01679,
        0.999672,
        0.981806,
        0.983825,
        0.982159,
        0.983278,
        0.983265,
        0.969444,
        0.980282,
        1.01504,
        1.02156,
        1.00813,
        1.01534,
        1.01512,
        0.989656,
        0.992508,
        0.978837,
        1.00317,
        0.995551,
        0.941895,
        1.01128,
        1.00227,
        0.955409,
        0.966779,
        0.99389,
        0.980498,
        0.982942,
        0.990804,
        0.984488,
        0.979872,
        0.980803,
        1.00308,
        1.00302,
        1.00006,
        1.00237,
        1.00425,
        0.978809,
        0.963127,
        0.993631,
        0.995181,
        0.961805,
        0.957713,
        0.97384,
        0.971186,
        0.975978,
        0.972738,
        0.989,
        1.00275,
        1.02528,
        0.991998,
        0.968911,
        0.989741,
        0.985219,
        0.997963,
        1.01386,
        0.966867,
        0.970061,
        0.988353,
        1.00193,
        0.997973,
        0.980846,
        1.0006,
        1.00641,
        1.00379,
        1.00663,
        0.998078,
        0.992221,
        1.01517,
        1.01939,
        0.976199,
        0.949906,
        0.954735,
        0.963073,
        0.996679,
        1.03622,
        1.02505,
        1.00013,
        1.03165,
        1.02295,
        1.04992,
        1.05695,
        1.03526,
        0.95645,
        1.02042,
        1.02404,
        0.956852,
        1.05809,
        1.0044,
        0.964543,
        0.980811,
        0.944025,
        0.947054,
        0.960185,
        0.930678,
        0.920463,
        0.957033,
        1.00069,
        0.990864,
        0.966134,
        0.980547,
        0.986759,
        0.954639,
        0.965996,
        0.970325,
        1.01853,
        0.9839,
        0.980482,
        1.01992,
        0.983521,
        0.995049,
        0.954484,
        0.984797,
        1.00421,
        0.985965,
        0.990392,
        0.975816,
        0.959891,
        0.995926,
        0.972577,
        0.978825,
        1.01212,
        1.01028,
        1.01126,
        0.999428,
        0.997731,
        0.992095,
        0.97882,
        0.96776,
        0.958416,
        0.987963,
        1.00314,
        0.972134,
        0.97699,
        0.95579,
        0.980522,
        1.03535,
        1.02269,
        0.964311,
        0.953087,
        0.876695,
        0.972312,
        0.938502,
        0.912497,
        1.0252,
        1.02,
        1.03384,
        1.00874,
        1.01525,
        1.01294,
        1.02237,
        1.03983,
        0.957409,
        0.9771,
        1.02601,
        1.02286,
        1.02557,
        1.00947,
        0.979347,
        0.981542,
        0.947044,
        0.950349,
        1.01421,
        1.04833,
        1.04659,
        1.01051,
        1.13993,
        1.10122,
        1.0912,
        1.09159,
        1.04994,
        1.05053,
        1.10605,
        1.13843,
        1.19388,
        1.131,
        1.24745,
        1.24421,
        1.19423,
        1.2026,
        1.21114,
        1.19551,
        null,
        0.99309,
        1.00015,
        1.03987,
        0.997499,
        0.985551,
        1.01227,
        1.03158,
        0.984989,
        0.994658,
        1.02844,
        0.988089,
        0.990371,
        0.985788,
        0.981204,
        0.995017,
        1.0049,
        0.986816,
        0.972586,
        0.99043,
        1.01377,
        0.986968,
        0.975129,
        1.01234,
        0.9967,
        0.988242,
        0.986043,
        0.980667,
        0.996272,
        0.98722,
        0.96336,
        0.962148,
        0.977816,
        0.975955,
        0.977835,
        1.0049,
        1.00232,
        0.984594,
        0.974362,
        0.97922,
        0.973306,
        0.943312,
        0.936606,
        0.956041,
        0.998652,
        0.990235,
        0.966413,
        0.957661,
        0.975872,
        0.990214,
        0.993923,
        0.945338,
        0.9807,
        0.965943,
        0.853176,
        0.992965,
        1.00294,
        1.00528,
        0.998417,
        0.977621,
        0.970616,
        0.974574,
        0.973949,
        0.995139,
        0.994166,
        0.973479,
        0.962121,
        0.955778,
        0.979524,
        1.00736,
        1.00294,
        0.992302,
        0.995339,
        0.999895,
        0.983545,
        0.976765,
        0.996854,
        1.0066,
        1.0179,
        1.01854,
        1.01026,
        1.00891,
        1.04748,
        1.02814,
        1.02421,
        0.985463,
        0.975519,
        0.975161,
        0.992837,
        0.972769,
        0.990745,
        0.995467,
        0.996634,
        0.995519,
        1.00507,
        0.997108,
        0.955992,
        0.971745,
        0.978241,
        0.973482,
        0.965649,
        0.970488,
        0.981252,
        0.990937,
        1.00271,
        0.988823,
        0.968083,
        0.983124,
        0.992076,
        1.00609,
        0.990353,
        0.984468,
        1.00018,
        0.994056,
        0.985714,
        0.99106,
        0.991502,
        0.973477,
        0.997747,
        0.994994,
        0.998085,
        1.00587,
        1.00173,
        null,
        1.124,
        1.10167,
        1.07934,
        1.07091,
        1.09659,
        1.07227,
        1.10813,
        1.08417,
        1.06529,
        1.07843,
        1.09063,
        1.09401,
        1.0773,
        1.06343,
        1.10812,
        1.08539,
        1.08875,
        1.0796,
        1.06924,
        1.0917,
        1.05166,
        1.05077,
        1.08263,
        1.08362,
        1.07711,
        1.07032,
        1.05888,
        1.05903,
        1.05266,
        0.999999,
        1.03037,
        1.04032,
        1.05366,
        1.06621,
        1.06037,
        1.01928,
        1.04716,
        0.997628,
        0.981569,
        1.03908,
        1.03755,
        1.04972,
        1.02493,
        1.00187,
        1.02517,
        1.01679,
        0.995393,
        0.983661,
        0.977514,
        0.987409,
        1.0089,
        0.978321,
        0.955561,
        0.983481,
        0.973034,
        0.992605,
        0.99807,
        0.922454,
        0.935704,
        0.942708,
        0.971266,
        0.924264,
        0.937824,
        0.969572,
        1.0006,
        0.96136,
        0.994352,
        1.00544,
        0.981623,
        0.975106,
        0.974073,
        0.968036,
        0.976853,
        0.964987,
        0.966199,
        0.975628,
        0.983886,
        0.968755,
        0.947481,
        0.981089,
        0.96779,
        0.948693,
        0.974241,
        0.964634,
        0.953612,
        0.949163,
        0.980114,
        1.00024,
        0.973266,
        0.954154,
        0.953833,
        1.00422,
        0.955407,
        0.948353,
        0.965036,
        0.949664,
        0.934277,
        0.91096,
        0.946725,
        1.00549,
        1.0103,
        0.987098,
        0.97452,
        0.94415,
        0.93548,
        0.959781,
        0.983222,
        0.961973,
        0.983937,
        0.993645,
        0.951578,
        0.955008,
        0.958637,
        0.944649,
        0.951994,
        0.962114,
        0.978658,
        0.983746,
        0.989984,
        0.9761,
        0.95917,
        0.967302,
        0.964577,
        0.970155,
        0.99215,
        0.985063,
        0.968921,
        0.97719,
        0.965899,
        0.983773,
        0.993829,
        0.96462,
        0.958543,
        0.945477,
        0.969147,
        0.988026,
        0.990134,
        0.982845,
        0.983303,
        0.977303,
        0.947524,
        0.963503,
        0.973607,
        0.966273,
        0.976255,
        0.94773,
        0.943687,
        0.969344,
        0.98426,
        0.969891,
        0.96909,
        0.959206,
        0.932554,
        0.973704,
        0.981631,
        0.939293,
        0.94725,
        0.96436,
        0.982589,
        0.980851,
        0.959545,
        0.952569,
        0.925771,
        0.945738,
        0.964089,
        0.955746,
        0.943326,
        0.987546,
        1.0063,
        0.968834,
        0.944513,
        0.956074,
        0.965238,
        0.964054,
        0.974264,
        0.946748,
        0.978068,
        0.990846,
        0.977701,
        0.956474,
        0.944164,
        0.971306,
        0.952232,
        0.95257,
        0.980896,
        0.995291,
        0.947394,
        0.945661,
        0.957731,
        0.969821,
        0.947811,
        0.949013,
        0.966176,
        0.979607,
        0.977281,
        0.943443,
        0.966484,
        0.949024,
        0.936621,
        0.942339,
        0.951083,
        0.915929,
        0.934444,
        0.949252,
        0.952962,
        0.976688,
        0.993678,
        0.996676,
        0.969271,
        0.93943,
        0.950021,
        0.965232,
        0.964054,
        0.972422,
        0.944194,
        0.948763,
        0.973665,
        0.990198,
        0.97692,
        0.961085,
        0.975704,
        0.988074,
        0.989124,
        0.973083,
        0.952189,
        0.980201,
        0.99138,
        0.990134,
        1.00303,
        0.995847,
        0.972479,
        0.970248,
        0.958041,
        0.963086,
        0.978813,
        0.982249,
        0.976845,
        0.965308,
        0.970904,
        0.964167,
        0.942083,
        0.958642,
        0.98606,
        0.988485,
        0.997669,
        0.985049,
        0.980764,
        0.993387,
        0.995214,
        0.990391,
        1.00392,
        1.01268,
        1.00591,
        1.00312,
        0.983754,
        0.96728,
        0.972527,
        0.982948,
        0.975846,
        0.984893,
        0.998966,
        0.993587,
        0.977179,
        0.993402,
        0.972511,
        0.937101,
        0.964955,
        0.955388,
        0.927766,
        0.972888,
        0.988203,
        0.961597,
        0.94262,
        0.962823,
        0.938168,
        0.980241,
        1.0041,
        0.993697,
        1.00439,
        0.97665,
        0.961592,
        0.958124,
        0.969923,
        0.982804,
        0.957257,
        0.95837,
        0.931877,
        0.958364,
        0.995117,
        0.960998,
        0.985494,
        0.97638,
        0.991504,
        0.993119,
        0.984262,
        0.960552,
        0.96677,
        0.964852,
        0.974484,
        0.963134,
        0.938922,
        0.944159,
        0.94726,
        0.964454,
        0.964113,
        0.988847,
        0.972649,
        0.953132,
        0.962727,
        0.927008,
        0.940952,
        0.939607,
        0.938565,
        0.96143,
        0.946288,
        0.960514,
        0.967694,
        0.980776,
        0.939682,
        0.96372,
        1.00263,
        0.94838,
        0.940588,
        0.939271,
        0.968355,
        0.960813,
        0.960103,
        0.963986,
        0.959381,
        0.941939,
        0.990832,
        0.958098,
        0.943793,
        0.929705,
        0.983381,
        0.942631,
        0.944101,
        0.995976,
        0.996798,
        0.949396,
        0.983971,
        0.990992,
        0.971077,
        1.00369,
        0.972156,
        0.967997,
        0.979777,
        0.976811,
        0.951405,
        0.964218,
        0.992913,
        0.977389,
        0.964283,
        0.962605,
        0.96121,
        0.977516,
        0.974943,
        0.966494,
        0.962476,
        0.978441,
        0.991494,
        0.969452,
        0.95093,
        0.956966,
        0.970468,
        0.96835,
        0.966147,
        0.980666,
        0.980724,
        0.973044,
        0.974099,
        0.971171,
        0.969831,
        0.965318,
        0.981713,
        1.00918,
        1.0115,
        1.0042,
        1.01997,
        1.02249,
        1.02257,
        1.02612,
        1.01047,
        1.00361,
        0.986745,
        1.02546,
        1.01524,
        1.03558,
        1.02636,
        1.03779,
        1.05622,
        1.04861,
        1.04839,
        1.0528,
        1.02625,
        1.06314,
        1.06043,
        1.07062,
        1.09085,
        1.07156,
        1.09597,
        1.09387,
        1.10983,
        1.05922,
        1.09683,
        1.09553,
        1.11593,
        1.1182,
        1.09901,
        1.06816,
        1.11901,
        1.08943,
        1.11962,
        1.1274,
        1.0876,
        1.10963,
        1.11496,
        1.10503,
        1.11272,
        1.11241,
        1.11054,
        1.13239,
        1.15218,
        1.12179,
        1.0929,
        1.09203,
        1.13512,
        1.09258,
        1.13647,
        1.1485,
        1.14626,
        1.10677,
        1.12771,
        1.14255,
        1.15088,
        1.13239,
        1.10558,
        1.14565,
        1.18303,
        1.1165,
        1.11732,
        1.14675,
        1.13595,
        1.06083,
        1.06361,
        1.11651,
        1.11694,
        1.12282,
        1.10361,
        1.10376,
        1.12011,
        1.08125,
        1.0595,
        1.03102,
        1.1076,
        1.11265,
        1.08998,
        1.06506,
        1.12816,
        1.10109,
        1.1146,
        1.07156,
        1.07765,
        1.09205,
        1.08126,
        1.07481,
        1.05987,
        1.06459,
        1.08398,
        1.10221,
        1.10182,
        1.07555,
        1.06686,
        1.07101,
        1.0656,
        1.08226,
        1.09615,
        1.07041,
        1.06238,
        1.06434,
        1.08538,
        1.079,
        1.05145,
        1.04272,
        1.04465,
        1.04836,
        1.05368,
        1.06634,
        1.05106,
        1.05706,
        1.08959,
        1.07386,
        1.0475,
        1.03846,
        1.05347,
        1.04323,
        1.05295,
        1.04923,
        1.04286,
        1.02126,
        1.02353,
        1.02015,
        1.02984,
        1.01094,
        1.02807,
        1.01645,
        1.02352,
        0.998671,
        0.980639,
        0.987399,
        0.990775,
        1.00539,
        1.00476,
        0.993496,
        0.999447,
        1.00076,
        0.976854,
        0.976811,
        1.00256,
        1.02023,
        1.0059,
        0.987355,
        0.976845,
        0.978777,
        0.971589,
        0.991844,
        0.997819,
        0.986639,
        0.99309,
        0.988635,
        0.986777,
        0.981393,
        0.971877,
        0.97529,
        0.962718,
        0.96569,
        0.96954,
        0.976437,
        0.981635,
        0.99268,
        0.977465,
        0.996973,
        0.972721,
        0.99406,
        0.978363,
        0.962529,
        0.971078,
        0.970907,
        0.956489,
        0.971449,
        0.96315,
        0.983208,
        0.973474,
        0.945545,
        0.961109,
        0.968366,
        0.98465,
        0.959689,
        0.937451,
        0.961306,
        0.98568,
        0.970565,
        0.971926,
        0.985828,
        0.967378,
        0.987755,
        0.996637,
        0.972148,
        0.976416,
        0.995517,
        0.990977,
        0.981832,
        0.985506,
        0.990514,
        0.973734,
        1.01566,
        1.02131,
        0.997952,
        1.01252,
        0.998924,
        0.990065,
        0.973005,
        1.00033,
        0.982553,
        1.03254,
        1.00599,
        0.971764,
        0.981291,
        0.970197,
        0.963818,
        0.974591,
        1.07257,
        0.975276,
        1.07174,
        0.891679,
        0.983737,
        0.952232,
        1.00393,
        0.981853,
        0.942035,
        0.950673,
        0.969127,
        0.973363,
        0.959694,
        0.91046,
        0.936961,
        0.968318,
        0.978678,
        0.925771,
        0.940488,
        0.946187,
        0.965875,
        0.94146,
        0.954456,
        0.917885,
        0.951893,
        0.949412,
        0.96907,
        0.960628,
        0.9774,
        0.990502,
        0.95528,
        0.926747,
        0.943086,
        0.97742,
        0.998596,
        0.993588,
        1.00473,
        1.01956,
        0.989401,
        0.946845,
        0.95366,
        0.976775,
        0.970927,
        0.975332,
        0.953147,
        0.969714,
        0.980693,
        0.985496,
        0.970593,
        1.01077,
        0.986599,
        0.994153,
        0.951347,
        0.969103,
        0.927793,
        0.976648,
        0.9722,
        0.988662,
        0.996418,
        0.98702,
        0.954532,
        0.946335,
        0.969442,
        0.961053,
        0.947502,
        0.926525,
        0.954333,
        0.950028,
        0.970087,
        1.00784,
        0.975798,
        0.955916,
        0.949656,
        0.947652,
        0.959351,
        0.965409,
        0.980735,
        0.974212,
        0.992602,
        0.980885,
        0.953655,
        0.972119,
        1.00949,
        0.955574,
        0.960953,
        0.96525,
        0.977524,
        0.992062,
        0.96708,
        0.987184,
        0.99575,
        0.980998,
        0.993105,
        0.997601,
        0.992353,
        0.962404,
        0.986728,
        1.0051,
        0.975442,
        0.950614,
        0.948384,
        0.961322,
        0.967662,
        0.962102,
        0.95747,
        0.96511,
        0.986789,
        0.972407,
        0.99584,
        0.999959,
        1.0042,
        0.999331,
        0.949182,
        0.972567,
        0.997629,
        0.970645,
        0.955429,
        0.986622,
        0.982106,
        0.99257,
        0.98837,
        0.984321,
        0.992804,
        0.985598,
        0.972204,
        0.983709,
        0.978654,
        0.979072,
        0.980744,
        0.997133,
        0.962975,
        0.976211,
        0.984148,
        0.962767,
        0.933706,
        0.938063,
        0.970337,
        0.971502,
        0.967695,
        0.955003,
        0.968974,
        1.00459,
        1.00161,
        0.97297,
        0.98152,
        0.983087,
        0.978267,
        0.94331,
        0.939497,
        0.959204,
        0.968101,
        0.965269,
        0.974643,
        0.982178,
        0.991983,
        0.960887,
        0.936484,
        0.939006,
        0.943992,
        0.935135,
        0.916463,
        0.923259,
        0.939561,
        0.911492,
        0.935503,
        null,
        1.01895,
        1.00058,
        1.01041,
        0.962018,
        0.950696,
        0.929101,
        0.968483,
        1.00317,
        1.0352,
        1.01529,
        0.951723,
        0.929089,
        0.967901,
        0.995812,
        1.02229,
        1.00916,
        0.994802,
        1.03395,
        1.03761,
        1.00814,
        0.975525,
        0.977318,
        0.973796,
        1.03431,
        0.994197,
        0.91911,
        0.95083,
        0.976252,
        1.0298,
        1.01422,
        1.06524,
        1.02574,
        1.03858,
        1.01322,
        1.02747,
        1.00934,
        1.02608,
        1.00938,
        0.988467,
        1.00332,
        1.06483,
        1.04745,
        1.00492,
        1.03147,
        1.00145,
        1.01295,
        1.04691,
        null,
        1.06272,
        1.05646,
        1.02367,
        1.1276,
        1.13864,
        1.14645,
        1.17817,
        1.16203,
        1.14351,
        1.13391,
        1.06913,
        1.14286,
        1.19854,
        1.16143,
        1.07557,
        1.23418,
        null,
        1.55619,
        1.2799,
        1.00361,
        0.87246,
        0.828418,
        0.883697,
        0.958466,
        0.977989,
        0.935555,
        0.96176,
        0.967738,
        0.954532,
        0.937501,
        0.938518,
        0.954761,
        0.947018,
        0.928655,
        0.902803,
        0.905317,
        0.967603,
        0.984458,
        0.965478,
        0.952953,
        0.930395,
        0.878405,
        0.930641,
        0.923803,
        0.890355,
        0.939252,
        0.886736,
        0.856554,
        0.935958,
        0.936208,
        0.905786,
        0.907793,
        0.865782,
        0.926381,
        0.981216,
        0.939913,
        0.948232,
        0.938835,
        0.986461,
        0.996811,
        0.936584,
        0.909408,
        0.885943,
        0.848503,
        0.947197,
        0.958605,
        0.957761,
        0.925619,
        0.895307,
        0.91921,
        0.897264,
        0.90718,
        0.9185,
        0.907153,
        0.917878,
        0.917318,
        0.971654,
        0.97284,
        0.954117,
        0.98046,
        1.0427,
        0.959435,
        0.973539,
        0.955146,
        0.865322,
        0.858119,
        0.908777,
        0.925377,
        0.973176,
        1.01899,
        1.02907,
        0.913002,
        0.912658,
        0.97198,
        0.950972,
        0.907903,
        0.950916,
        0.986298,
        0.974423,
        0.91963,
        0.912906,
        0.934937,
        0.945013,
        0.953815,
        0.900163,
        0.905529,
        0.908817,
        0.948243,
        0.900886,
        0.926249,
        null,
        0.88357,
        0.902558,
        0.92267,
        0.9844,
        0.969192,
        0.93753,
        0.991651,
        0.960391,
        0.882971,
        0.929914,
        0.950881,
        0.952098,
        0.914044,
        0.922953,
        0.921078,
        0.954227,
        0.961183,
        0.998324,
        1.01758,
        0.980672,
        0.991959,
        1.02535,
        0.950593,
        0.961078,
        0.924253,
        0.841342,
        0.83085,
        0.863473,
        0.908269,
        0.909437,
        0.923678,
        0.968879,
        1.04118,
        1.0076,
        0.968902,
        0.975739,
        0.942259,
        0.97206,
        0.997804,
        0.977955,
        0.974662,
        0.939608,
        0.882706,
        0.912801,
        0.985223,
        0.970836,
        0.93923,
        0.936881,
        0.972901,
        0.952043,
        0.995923,
        1.01824,
        1.00858,
        1.00984,
        0.939276,
        1.04922,
        1.05704,
        1.12453,
        1.08425,
        0.958865,
        0.929457,
        null,
        0.991563,
        1.07916,
        1.09916,
        1.06233,
        1.15123,
        1.05031,
        1.0965,
        1.00317,
        1.11164,
        1.09439,
        1.08404,
        1.08919,
        1.0763,
        1.02565,
        1.05857,
        1.11371,
        1.07542,
        1.0532,
        1.07651,
        1.11544,
        1.12043,
        1.06466,
        1.02619,
        1.07138,
        1.08252,
        1.08673,
        1.09008,
        1.13338,
        1.06182,
        1.09041,
        1.14153,
        1.15473,
        1.09712,
        1.10994,
        1.15477,
        1.15223,
        1.15058,
        1.19286,
        1.0414,
        null,
        1.04736,
        1.05064,
        0.95703,
        1.08621,
        1.01334,
        1.06934,
        1.03859,
        0.961105,
        1.0054,
        1.06188,
        1.07358,
        1.06414,
        1.04359,
        1.05881,
        1.0541,
        1.01347,
        1.01122,
        1.05333,
        1.06413,
        1.03644,
        0.979277,
        0.996394,
        0.936817,
        0.960971,
        1.02635,
        1.01909,
        1.02322,
        1.02083,
        1.00793,
        0.969426,
        0.967688,
        0.996653,
        0.971175,
        1.01493,
        0.992121,
        0.956799,
        0.985056,
        0.968279,
        0.951614,
        0.96809,
        0.974183,
        0.946478,
        0.936565,
        0.913206,
        0.945947,
        0.919349,
        0.910022,
        0.920152,
        0.970236,
        0.971156,
        0.923393,
        0.934171,
        0.95147,
        0.965869,
        0.948747,
        0.95852,
        0.964466,
        0.954843,
        0.936031,
        0.929976,
        0.956543,
        0.96445,
        0.930537,
        0.897857,
        0.958815,
        0.931372,
        0.802659,
        0.87211,
        0.946364,
        0.950102,
        0.957122,
        0.945442,
        0.952774,
        0.950921,
        0.834997,
        0.843421,
        0.918044,
        0.977605,
        0.874678,
        0.893192,
        0.874114,
        0.71748,
        0.87186,
        0.962182,
        0.93373,
        0.954852,
        0.978261,
        0.97347,
        0.939009,
        0.948424,
        0.952515,
        0.919584,
        0.942307,
        0.91975,
        0.948958,
        0.9358,
        0.935023,
        0.965837,
        0.926805,
        0.857403,
        0.883742,
        0.946731,
        0.971065,
        0.955573,
        0.961197,
        0.975113,
        0.981817,
        0.910935,
        0.925103,
        0.929674,
        0.921688,
        0.946997,
        0.9744,
        0.961477,
        0.953031,
        0.925787,
        0.91344,
        0.939685,
        0.940688,
        0.932168,
        0.936879,
        0.937121,
        0.955836,
        0.953451,
        0.941115,
        0.956141,
        0.959145,
        0.922523,
        0.898619,
        0.957628,
        0.961357,
        0.956989,
        0.944295,
        0.950201,
        0.969019,
        0.920768,
        0.912292,
        0.935814,
        0.895955,
        0.923495,
        0.972502,
        0.950368,
        0.925388,
        0.927759,
        0.99235,
        0.890466,
        0.940938,
        0.930159,
        0.961094,
        0.94245,
        0.942534,
        0.969403,
        0.980393,
        0.961252,
        0.991325,
        1.00299,
        0.898339,
        0.85756,
        0.88206,
        0.942632,
        null,
        0.922239,
        0.882346,
        0.979516,
        1.00861,
        0.938189,
        0.937929,
        0.979766,
        0.922805,
        0.939461,
        0.908815,
        0.944017,
        0.75608,
        0.902973,
        0.974422,
        0.943038,
        0.955752,
        0.946561,
        0.956374,
        0.947457,
        0.945384,
        0.985513,
        0.957924,
        0.912843,
        0.942841,
        0.959349,
        0.972049,
        0.969742,
        0.945248,
        0.945124,
        0.954366,
        1.02287,
        0.973779,
        0.954897,
        0.939184,
        0.912773,
        0.933035,
        0.943863,
        0.927689,
        0.925642,
        0.910736,
        0.91913,
        0.932399,
        0.954649,
        0.967991,
        0.962667,
        0.921553,
        0.958359,
        0.961217,
        0.897363,
        0.926101,
        0.943813,
        0.967344,
        0.949689,
        0.953106,
        0.937782,
        0.952056,
        0.950987,
        0.933184,
        0.945381,
        0.936084,
        0.953029,
        0.9644,
        0.9516,
        0.954423,
        0.931293,
        0.927586,
        0.958365,
        0.943488,
        0.949614,
        0.941376,
        0.976977,
        0.932171,
        0.873114,
        0.906611,
        0.89423,
        0.8909,
        0.936161,
        0.931887,
        0.885485,
        0.899496,
        0.944553,
        0.706017,
        0.808332,
        0.930717,
        0.920121,
        0.935933,
        0.91597,
        0.922427,
        0.941979,
        0.927979,
        0.9035,
        0.912003,
        0.945348,
        0.944571,
        0.96606,
        0.918311,
        0.936398,
        0.778318,
        0.91166,
        0.959877,
        0.978799,
        0.971179,
        0.904741,
        0.91614,
        0.956443,
        0.973574,
        0.966338,
        0.951745,
        0.938335,
        0.92624,
        0.96131,
        0.942041,
        0.977356,
        0.980367,
        0.975106,
        0.93953,
        0.92287,
        0.918338,
        0.963947,
        1.047,
        1.05326,
        0.988422,
        0.961038,
        0.955803,
        0.983018,
        0.98409,
        0.955863,
        0.943049,
        0.909333,
        0.928896,
        0.97997,
        0.9771,
        0.973311,
        0.942203,
        0.937139,
        0.926395,
        0.927219,
        0.98151,
        0.98971,
        0.979393,
        0.980854,
        null,
        0.959313,
        1.03972,
        1.05814,
        1.01535,
        0.991608,
        0.99585,
        1.02496,
        0.992892,
        0.978596,
        0.967473,
        0.959842,
        0.99292,
        0.929709,
        0.889133,
        0.971009,
        1.01912,
        1.00617,
        0.994117,
        1.00357,
        0.99788,
        0.960298,
        0.956297,
        0.968067,
        0.897158,
        0.893869,
        0.962627,
        0.929972,
        1.01271,
        0.987111,
        0.998667,
        0.987131,
        1.00694,
        0.984183,
        0.982266,
        0.987631,
        1.00622,
        1.01413,
        0.972476,
        0.93649,
        0.981205,
        0.990999,
        0.985711,
        1.00084,
        0.998649,
        0.982548,
        0.986067,
        1.00997,
        1.03695,
        1.02473,
        0.901463,
        0.91068,
        1.01193,
        1.07391,
        1.04292,
        1.00912,
        1.02157,
        1.04851,
        1.03536,
        1.08695,
        1.07951,
        1.05612,
        1.04197,
        1.05085,
        1.08253,
        1.06737,
        1.08305,
        1.11786,
        1.11745,
        1.10665,
        1.10148,
        1.11938,
        1.09837,
        1.14553,
        1.11336,
        1.09357,
        1.11511,
        1.11879,
        1.11142,
        1.10095,
        1.11527,
        1.12546,
        1.15719,
        1.10105,
        1.11832,
        1.12861,
        1.13835,
        1.13911,
        1.1379,
        1.15087,
        1.11948,
        1.11343,
        1.11873,
        1.11977,
        1.07478,
        1.10152,
        1.12517,
        1.13106,
        1.11704,
        1.09521,
        1.13115,
        1.12312,
        1.14533,
        1.13422,
        1.13349,
        1.10384,
        1.14198,
        1.12031,
        1.10362,
        1.12057,
        1.10288,
        1.07751,
        1.03734,
        1.06698,
        1.1313,
        1.0534,
        1.08156,
        1.07281,
        1.08455,
        1.09051,
        1.08913,
        1.08606,
        1.07817,
        1.10369,
        1.07616,
        1.02746,
        1.10664,
        1.09367,
        0.942017,
        1.00423,
        1.04495,
        1.09191,
        1.04012,
        1.01972,
        0.982003,
        1.08545,
        1.04823,
        0.989296,
        0.982074,
        0.883232,
        0.990373,
        1.0862,
        1.08588,
        1.00212,
        0.98175,
        1.02245,
        1.02879,
        0.987989,
        0.947556,
        1.02499,
        1.01866,
        1.01223,
        1.00582,
        1.01711,
        1.00775,
        1.00516,
        1.00904,
        0.9706,
        0.950543,
        0.953393,
        0.963689,
        0.983781,
        0.988533,
        0.984232,
        0.936772,
        0.991669,
        1.02314,
        0.981495,
        0.968768,
        0.98972,
        0.958914,
        0.940413,
        0.956652,
        0.989791,
        0.982878,
        0.966255,
        0.910707,
        0.980702,
        0.97663,
        0.965212,
        0.943578,
        0.958174,
        0.918935,
        0.958982,
        0.968151,
        0.934341,
        0.927034,
        0.873598,
        0.92344,
        0.947768,
        0.925594,
        0.934537,
        0.905548,
        0.919989,
        0.91452,
        0.903768,
        0.907818,
        0.924082,
        0.949329,
        0.936436,
        0.950103,
        0.923816,
        0.925012,
        0.939546,
        0.987466,
        1.00601,
        0.955664,
        0.973752,
        0.973993,
        0.978955,
        0.947583,
        0.976696,
        0.965225,
        0.946483,
        0.939542,
        0.910367,
        0.959139
    ],
    "flux_error": [
        0.00392017,
        0.00524164,
        0.00656312,
        0.00788459,
        0.00889306,
        0.00808607,
        0.00646231,
        0.00684569,
        0.00657919,
        0.00669535,
        0.00972928,
        0.00799744,
        0.00786486,
        0.00737872,
        0.00739439,
        0.00919487,
        0.0132701,
        0.00971956,
        0.0158727,
        0.0229649,
        0.0271789,
        0.0273393,
        0.0243514,
        0.0164229,
        0.0177954,
        0.0155773,
        0.0104918,
        0.00832422,
        0.00844397,
        0.0068547,
        0.00714272,
        0.00787606,
        0.00813169,
        0.00779585,
        0.00749847,
        0.00628094,
        0.00684332,
        0.00711011,
        0.0067033,
        0.00734777,
        0.0050966,
        0.00590089,
        0.0065095,
        0.00695284,
        0.00706124,
        0.00542903,
        0.00702299,
        0.00647615,
        0.00637317,
        0.00610591,
        0.00510188,
        0.00529141,
        0.0060823,
        0.00580648,
        0.00626364,
        0.00713759,
        0.0070513,
        0.00593207,
        0.00577851,
        0.00607815,
        0.0061077,
        0.00572234,
        0.00550788,
        0.00735843,
        0.00585169,
        0.005748,
        0.0065366,
        0.00651087,
        0.00444955,
        0.00696285,
        0.0063031,
        0.00542531,
        0.00555912,
        0.00654014,
        0.00655072,
        0.00536415,
        0.00593758,
        0.00660154,
        0.0067122,
        0.0063003,
        0.00584732,
        0.00672885,
        0.00670899,
        0.00677947,
        0.00637567,
        0.00496083,
        0.00556723,
        0.00505581,
        0.00513629,
        0.00542058,
        0.00549933,
        0.00547236,
        0.00750043,
        0.00689611,
        0.00525496,
        0.0048396,
        0.00570014,
        0.00572914,
        0.00544097,
        0.00481244,
        0.00588062,
        0.0068893,
        0.00678058,
        0.00666655,
        0.00665106,
        0.00638205,
        0.00554378,
        0.0051442,
        0.00596065,
        0.00746081,
        0.00573142,
        0.00671373,
        0.00734779,
        0.00707601,
        0.00675256,
        0.00653258,
        0.00703768,
        0.00700323,
        0.00705002,
        0.00681802,
        0.00574735,
        0.00647621,
        0.00561594,
        0.00548408,
        0.00578382,
        0.00598143,
        0.00596192,
        0.00798754,
        0.00634075,
        0.00517761,
        0.0048961,
        0.00569341,
        0.00775986,
        0.00664792,
        0.00571947,
        0.00568557,
        0.00509928,
        0.00440727,
        0.00697646,
        0.00618801,
        0.00563256,
        0.00622667,
        0.00661314,
        0.00584764,
        0.00533235,
        0.00547954,
        0.00547467,
        0.00629047,
        0.00733497,
        0.00741416,
        0.00577723,
        0.00775138,
        0.00598108,
        0.00609574,
        0.00751144,
        0.00675056,
        0.00657394,
        0.00569258,
        0.00466511,
        0.00477121,
        0.00600677,
        0.00705573,
        0.00570709,
        0.00532907,
        0.00584565,
        0.00591921,
        0.00572853,
        0.00663106,
        0.00546976,
        0.00638546,
        0.00679511,
        0.0062625,
        0.00565041,
        0.00658633,
        0.00714082,
        0.00633388,
        0.00624443,
        0.00631147,
        0.00614321,
        0.00683813,
        0.00903564,
        0.00584113,
        0.00492441,
        0.00551088,
        0.00513758,
        0.00540148,
        0.00529301,
        0.00582692,
        0.00640674,
        0.00688099,
        0.0071558,
        0.00675971,
        0.00610533,
        0.00632858,
        0.00712975,
        0.00802265,
        0.00843418,
        0.00766201,
        0.00919246,
        0.00965147,
        0.00991809,
        0.0108929,
        0.0132649,
        0.0181834,
        0.0178544,
        0.0136141,
        0.0105917,
        0.00874963,
        0.00927516,
        0.00614076,
        0.0073595,
        0.00795928,
        0.00727792,
        0.00619591,
        0.00631881,
        0.00766127,
        0.00820634,
        0.00788693,
        0.00758932,
        0.00739265,
        0.00620282,
        0.00644204,
        0.0054986,
        0.00604017,
        0.00688698,
        0.00683678,
        0.00691863,
        0.0055256,
        0.00569122,
        0.00515209,
        0.00507636,
        0.00610399,
        0.00537733,
        0.00569204,
        0.00595083,
        0.006379,
        0.00652509,
        0.00610166,
        0.00583539,
        0.00686949,
        0.00553703,
        0.00529554,
        0.00607583,
        0.00627147,
        0.00601192,
        0.00658847,
        0.0053823,
        0.00525062,
        0.00603066,
        0.00618262,
        0.00625804,
        0.00634215,
        0.00619226,
        0.00600161,
        0.00570193,
        0.00536393,
        0.00646348,
        0.0058805,
        0.0052772,
        0.00567812,
        0.00606296,
        0.00486816,
        0.00494667,
        0.00539653,
        0.00530276,
        0.00499943,
        0.00485836,
        0.00506721,
        0.00552518,
        0.00619439,
        0.00648819,
        0.0058937,
        0.0051366,
        0.00567912,
        0.00510249,
        0.00457122,
        0.00462717,
        0.00518345,
        0.0058527,
        0.00607698,
        0.00545888,
        0.00419898,
        0.00386888,
        0.00403295,
        0.00437319,
        0.00506267,
        0.00477072,
        0.00530291,
        0.0054829,
        0.00495898,
        0.00428079,
        0.00477104,
        0.00560084,
        0.00519826,
        0.00547856,
        0.00585772,
        0.00592415,
        0.00634334,
        0.00685748,
        0.00560254,
        0.00532062,
        0.0056608,
        0.00574214,
        0.00526473,
        0.00512231,
        0.0055612,
        0.00630397,
        0.00721032,
        0.00749616,
        0.00544983,
        0.00558322,
        0.00632611,
        0.00664468,
        0.00630574,
        0.00552271,
        0.00483199,
        0.00528225,
        0.0055175,
        0.00532706,
        0.00517463,
        0.00537622,
        0.00549714,
        0.00632927,
        0.00449616,
        0.00455024,
        0.00564716,
        0.00570357,
        0.00507967,
        0.00464085,
        0.00522301,
        0.00647793,
        0.00651492,
        0.004994,
        0.00567951,
        0.00742967,
        0.00622468,
        0.00614448,
        0.00722468,
        0.00762119,
        0.00542236,
        0.00421525,
        0.00474183,
        0.00571576,
        0.00561678,
        0.00461232,
        0.00694289,
        0.0064893,
        0.00674717,
        0.00586095,
        0.00485462,
        0.00517217,
        0.00567408,
        0.00484318,
        0.00609611,
        0.00630926,
        0.00552621,
        0.00500901,
        0.00525748,
        0.00592761,
        0.00579476,
        0.00610098,
        0.00630444,
        0.00569935,
        0.00542693,
        0.00507564,
        0.0059183,
        0.00597315,
        0.0059318,
        0.00635745,
        0.00436624,
        0.00591502,
        0.00598543,
        0.00487241,
        0.0042063,
        0.00495891,
        0.00520414,
        0.00524785,
        0.00430757,
        0.00473754,
        0.00544193,
        0.00491609,
        0.00523108,
        0.00538837,
        0.00556581,
        0.00571727,
        0.00586428,
        0.00584287,
        0.00499457,
        0.00458273,
        0.00607107,
        0.00601895,
        0.00539427,
        0.00591653,
        0.00619329,
        0.00574266,
        0.00605842,
        0.00660817,
        0.00646238,
        0.00554961,
        0.00603929,
        0.00595638,
        0.0061019,
        0.0055654,
        0.00524358,
        0.00569717,
        0.00508727,
        0.00523068,
        0.00550341,
        0.00543773,
        0.00487711,
        0.00422834,
        0.00462244,
        0.00493722,
        0.00505242,
        0.00463116,
        0.00479143,
        0.00600102,
        0.00633715,
        0.00520457,
        0.00481258,
        0.00447124,
        0.00443179,
        0.00505435,
        0.00620603,
        0.00674082,
        0.00582515,
        0.00722238,
        0.0077,
        0.00557311,
        0.00627335,
        0.00567281,
        0.00568524,
        0.00550993,
        0.00523819,
        0.00534577,
        0.00621249,
        0.00457161,
        0.00544887,
        0.0057885,
        0.00559632,
        0.00545005,
        0.00536988,
        0.00561016,
        0.00622495,
        0.00644598,
        0.00632431,
        0.00627848,
        0.00678753,
        0.00668048,
        0.00754973,
        0.00649454,
        0.00533822,
        0.00537158,
        0.00558957,
        0.00538214,
        0.0053641,
        0.00520349,
        0.00548937,
        0.00594871,
        0.00543692,
        0.00574095,
        0.00556049,
        0.00638014,
        0.00658571,
        0.00623442,
        0.00702228,
        0.00547606,
        0.00568147,
        0.00591664,
        0.00525854,
        0.00490849,
        0.00688885,
        0.00719108,
        0.00658597,
        0.00602346,
        0.00643734,
        0.00682958,
        0.00553644,
        0.0055342,
        0.005485,
        0.00570901,
        0.00594492,
        0.00618224,
        0.00636062,
        0.00509357,
        0.00481743,
        0.00512531,
        0.00557619,
        0.0061701,
        0.00696522,
        0.00715505,
        0.00636016,
        0.00655763,
        0.00626537,
        0.00525379,
        0.00481473,
        0.00775296,
        0.00662326,
        0.00650866,
        0.00666106,
        0.00694948,
        0.00696785,
        0.0047221,
        0.0055488,
        0.00579915,
        0.00603023,
        0.00650443,
        0.00699739,
        0.0066868,
        0.00619885,
        0.00627569,
        0.0064821,
        0.0064226,
        0.00634251,
        0.00737174,
        0.0069273,
        0.0063504,
        0.00620627,
        0.00583046,
        0.00541264,
        0.00672139,
        0.00615356,
        0.0050627,
        0.00481954,
        0.00517099,
        0.00552294,
        0.00555279,
        0.00588627,
        0.0051629,
        0.00547669,
        0.00652223,
        0.00701993,
        0.00592994,
        0.00653879,
        0.00570062,
        0.00612243,
        0.0067737,
        0.0066285,
        0.00574144,
        0.00625719,
        0.00732448,
        0.00758862,
        0.00709124,
        0.00649216,
        0.00644567,
        0.00625166,
        0.004976,
        0.00647271,
        0.00684652,
        0.00571782,
        0.00509438,
        0.00568397,
        0.00595449,
        0.00658199,
        0.00696992,
        0.00729471,
        0.00748999,
        0.00588791,
        0.00734594,
        0.00625785,
        0.00623072,
        0.00769892,
        0.00870928,
        0.00605692,
        0.00516668,
        0.00627604,
        0.00678921,
        0.00723255,
        0.00803993,
        0.00791407,
        0.00710635,
        0.00729001,
        0.0087708,
        0.00912178,
        0.00915096,
        0.0130684,
        0.0105593,
        0.0144494,
        0.0154561,
        0.0148489,
        0.0134844,
        0.0102092,
        0.00826953,
        0.00735739,
        0.00798024,
        0.00819304,
        0.00769286,
        0.00763039,
        0.00771822,
        0.00653125,
        0.00691495,
        0.00743659,
        0.00692421,
        0.00576694,
        0.00764666,
        0.00757777,
        0.0070113,
        0.00761772,
        0.00774746,
        0.00629517,
        0.00752027,
        0.00609709,
        0.0168235,
        0.0175381,
        0.0153796,
        0.0118408,
        0.00984985,
        0.00947989,
        0.00830447,
        0.0093883,
        0.00777636,
        0.0075426,
        0.00731348,
        0.00709322,
        0.00770854,
        0.00574144,
        0.00644597,
        0.00649273,
        0.00668282,
        0.00646944,
        0.00529951,
        0.00543776,
        0.00589565,
        0.00557949,
        0.00590408,
        0.00639301,
        0.00615576,
        0.00553874,
        0.00603758,
        0.00620887,
        0.00666748,
        0.00681826,
        0.00627058,
        0.00571606,
        0.00718907,
        0.00756754,
        0.00675194,
        0.00587583,
        0.00579817,
        0.00641491,
        0.00604478,
        0.00592977,
        0.00646613,
        0.00687918,
        0.00672005,
        0.00616778,
        0.00605631,
        0.00628425,
        0.00619844,
        0.00592903,
        0.00592523,
        0.00629898,
        0.00571617,
        0.00497777,
        0.00592248,
        0.00667576,
        0.00661729,
        0.00610481,
        0.00598016,
        0.00592402,
        0.00597894,
        0.00636839,
        0.00701478,
        0.00720511,
        0.00582383,
        0.00578796,
        0.00738241,
        0.00699047,
        0.00611766,
        0.00583098,
        0.00557197,
        0.00593659,
        0.00630401,
        0.00511069,
        0.00446421,
        0.00514594,
        0.00611957,
        0.00521041,
        0.00536448,
        0.00583611,
        0.00629535,
        0.00660389,
        0.00666172,
        0.00616524,
        0.00601051,
        0.00624661,
        0.00543704,
        0.0051065,
        0.00605161,
        0.00599994,
        0.00567815,
        0.0062642,
        0.00574324,
        0.00467912,
        0.00442632,
        0.00580827,
        0.0057505,
        0.00533644,
        0.00564883,
        0.00566259,
        0.00538335,
        0.00561947,
        0.00572603,
        0.00627548,
        0.00625729,
        0.00623882,
        0.00584626,
        0.00484997,
        0.00496843,
        0.0053943,
        0.00580741,
        0.00589909,
        0.00584327,
        0.00592107,
        0.00616279,
        0.00584418,
        0.00719968,
        0.00700247,
        0.00601375,
        0.00542046,
        0.0054937,
        0.00621309,
        0.00484762,
        0.00572356,
        0.00585528,
        0.00504795,
        0.00544851,
        0.00582151,
        0.00528173,
        0.00483039,
        0.00399182,
        0.00435255,
        0.00468733,
        0.00499942,
        0.00508693,
        0.00570409,
        0.00608582,
        0.00631655,
        0.00620943,
        0.00538547,
        0.00523044,
        0.00518362,
        0.00536816,
        0.00525349,
        0.00512749,
        0.00538519,
        0.00587276,
        0.00490199,
        0.00478157,
        0.00552958,
        0.00595094,
        0.00578193,
        0.00692839,
        0.00601923,
        0.00586785,
        0.00579988,
        0.0056732,
        0.00613907,
        0.00650421,
        0.00667907,
        0.00649465,
        0.00649465,
        0.0069581,
        0.00752262,
        0.00638021,
        0.00701456,
        0.00755393,
        0.00743578,
        0.00753082,
        0.00756668,
        0.00842374,
        0.00868507,
        0.00998478,
        0.0117757,
        0.015145,
        0.0200899,
        0.0175095,
        0.0171905,
        0.0133853,
        0.0127942,
        0.0104497,
        0.00840118,
        0.00832235,
        0.00702122,
        0.00723473,
        0.00743197,
        0.00578947,
        0.00611048,
        0.0066337,
        0.00630544,
        0.00589337,
        0.00572659,
        0.00586672,
        0.00572761,
        0.00652577,
        0.00645862,
        0.00544966,
        0.00517035,
        0.00562224,
        0.00490098,
        0.00477741,
        0.00507981,
        0.00519867,
        0.00636246,
        0.00594576,
        0.0051782,
        0.00478742,
        0.00477568,
        0.00554088,
        0.005278,
        0.00651926,
        0.00572067,
        0.00555166,
        0.00574736,
        0.00560596,
        0.00539287,
        0.00556527,
        0.00620392,
        0.00560065,
        0.00456602,
        0.00511426,
        0.00516046,
        0.00518391,
        0.00552032,
        0.00545107,
        0.00554865,
        0.00568463,
        0.00597029,
        0.00510453,
        0.00538728,
        0.00608765,
        0.00582629,
        0.00536824,
        0.00597959,
        0.00544812,
        0.00495756,
        0.00529322,
        0.00589603,
        0.00662831,
        0.00619834,
        0.00588045,
        0.00584064,
        0.00579689,
        0.00569581,
        0.00509229,
        0.00525296,
        0.0052539,
        0.0055023,
        0.00622456,
        0.0051084,
        0.00594334,
        0.00567307,
        0.00621265,
        0.00617418,
        0.00530666,
        0.00538998,
        0.00660053,
        0.00561743,
        0.00543044,
        0.00545592,
        0.00511437,
        0.00419035,
        0.00437699,
        0.00431398,
        0.00481715,
        0.00470532,
        0.00447262,
        0.00504757,
        0.00537311,
        0.00517414,
        0.0056126,
        0.00477376,
        0.00459902,
        0.00485299,
        0.00493084,
        0.00653681,
        0.00559074,
        0.00520939,
        0.00509419,
        0.00513367,
        0.00480606,
        0.00441371,
        0.00547907,
        0.00490111,
        0.00489222,
        0.00558709,
        0.00580281,
        0.00505956,
        0.00535697,
        0.00492706,
        0.00573207,
        0.00586789,
        0.00581209,
        0.00623777,
        0.0059952,
        0.00649256,
        0.0059157,
        0.00558037,
        0.00558979,
        0.00512219,
        0.00578968,
        0.00545201,
        0.00526688,
        0.00522505,
        0.00518653,
        0.00505763,
        0.00535674,
        0.00498842,
        0.00537207,
        0.00480571,
        0.00452621,
        0.00465749,
        0.00447281,
        0.00597638,
        0.00550595,
        0.00553459,
        0.00499004,
        0.00492284,
        0.00521174,
        0.00559867,
        0.0053614,
        0.00557167,
        0.00541362,
        0.00505685,
        0.0051404,
        0.00505814,
        0.0052708,
        0.00510047,
        0.00510364,
        0.0051063,
        0.00570525,
        0.00628368,
        0.00497345,
        0.00460642,
        0.00419276,
        0.00456126,
        0.00530767,
        0.00462465,
        0.00498363,
        0.00534036,
        0.00525504,
        0.00524288,
        0.00521025,
        0.0053031,
        0.00523644,
        0.00630426,
        0.00577843,
        0.005216,
        0.00480402,
        0.00468153,
        0.00479409,
        0.00490619,
        0.00443348,
        0.00488986,
        0.00504765,
        0.00461711,
        0.00487562,
        0.00555649,
        0.00552324,
        0.0051292,
        0.00564906,
        0.00594345,
        0.00602333,
        0.00503027,
        0.00500624,
        0.00497781,
        0.00455658,
        0.00441862,
        0.00442099,
        0.00613164,
        0.00592082,
        0.00569677,
        0.00515455,
        0.00478939,
        0.00517396,
        0.00539217,
        0.005224,
        0.00520542,
        0.0047467,
        0.00425201,
        0.00469167,
        0.00383293,
        0.00430465,
        0.00449031,
        0.00540287,
        0.00514335,
        0.00510909,
        0.00471099,
        0.00569812,
        0.005293,
        0.0055542,
        0.00622889,
        0.00514501,
        0.00497087,
        0.00517695,
        0.00524483,
        0.00535257,
        0.00594803,
        0.00610234,
        0.00519177,
        0.0054926,
        0.0055039,
        0.00494615,
        0.00409384,
        0.00440388,
        0.00508,
        0.00472373,
        0.00501192,
        0.00509076,
        0.00492499,
        0.00506445,
        0.00525834,
        0.00625753,
        0.00579611,
        0.00500446,
        0.00506915,
        0.00509027,
        0.00443963,
        0.00536737,
        0.0052674,
        0.00481707,
        0.00528832,
        0.00555907,
        0.00524494,
        0.00655957,
        0.00592565,
        0.00476664,
        0.00477068,
        0.00492271,
        0.00467846,
        0.00398923,
        0.00489447,
        0.00572246,
        0.00522388,
        0.00483783,
        0.00491648,
        0.00473869,
        0.00580209,
        0.00570229,
        0.00515317,
        0.00558956,
        0.00570741,
        0.00531222,
        0.0050981,
        0.00481494,
        0.00482353,
        0.0051886,
        0.00586077,
        0.00545258,
        0.00461393,
        0.00444867,
        0.00495237,
        0.00480775,
        0.00482145,
        0.00520527,
        0.00506478,
        0.00433641,
        0.00454231,
        0.00581791,
        0.00619258,
        0.00571261,
        0.00479539,
        0.00418289,
        0.00442678,
        0.00489291,
        0.004894,
        0.00487954,
        0.00528238,
        0.00577852,
        0.00460546,
        0.00473422,
        0.00497203,
        0.00537134,
        0.00555804,
        0.00544375,
        0.00555438,
        0.00531451,
        0.00579433,
        0.00576098,
        0.0053167,
        0.00506687,
        0.00619169,
        0.00527155,
        0.00504124,
        0.00506433,
        0.00504732,
        0.00451952,
        0.00441696,
        0.00605617,
        0.00526657,
        0.00477444,
        0.00481713,
        0.00549316,
        0.00597009,
        0.00487141,
        0.00560388,
        0.00611964,
        0.00575892,
        0.00502392,
        0.00479591,
        0.00437146,
        0.00497513,
        0.00561984,
        0.00499189,
        0.00487781,
        0.00539031,
        0.00519282,
        0.00585509,
        0.00588453,
        0.0064861,
        0.00651967,
        0.00563355,
        0.00495344,
        0.00543618,
        0.00503588,
        0.00525874,
        0.00580458,
        0.00528011,
        0.00458602,
        0.00540724,
        0.00517988,
        0.00495179,
        0.00520936,
        0.00543589,
        0.0057574,
        0.00591125,
        0.00569934,
        0.00554058,
        0.00601735,
        0.00624571,
        0.00556043,
        0.004966,
        0.00475153,
        0.00540029,
        0.00517223,
        0.00585881,
        0.00564373,
        0.00521758,
        0.00518028,
        0.00553468,
        0.00460913,
        0.00524015,
        0.00555683,
        0.00462813,
        0.00521869,
        0.00482277,
        0.00455598,
        0.00487428,
        0.00439602,
        0.00461561,
        0.00427469,
        0.00513025,
        0.00487881,
        0.00541092,
        0.00579048,
        0.00517832,
        0.00462654,
        0.00502308,
        0.00539878,
        0.00543281,
        0.00548147,
        0.00605307,
        0.00492545,
        0.004502,
        0.0046117,
        0.00475506,
        0.00529856,
        0.00537012,
        0.00507043,
        0.00537756,
        0.00596441,
        0.00560451,
        0.00565937,
        0.0054124,
        0.00502393,
        0.00508249,
        0.00536981,
        0.00589255,
        0.00584327,
        0.00603289,
        0.00588587,
        0.0054889,
        0.00583807,
        0.00555103,
        0.00517351,
        0.00448687,
        0.00457667,
        0.00517023,
        0.00528443,
        0.0053832,
        0.00536702,
        0.00549138,
        0.00493586,
        0.00442078,
        0.0046927,
        0.00528841,
        0.00558341,
        0.00403308,
        0.00424193,
        0.00567087,
        0.00633953,
        0.00552033,
        0.00631778,
        0.00610942,
        0.00464952,
        0.00407811,
        0.00438519,
        0.00477263,
        0.00470922,
        0.00583585,
        0.00474725,
        0.00493764,
        0.00550388,
        0.00566323,
        0.00522611,
        0.00462706,
        0.00532337,
        0.00642654,
        0.00582366,
        0.00530978,
        0.00585981,
        0.00573807,
        0.00484462,
        0.00511283,
        0.00498282,
        0.00510519,
        0.00551091,
        0.00572579,
        0.00574153,
        0.0051674,
        0.00524839,
        0.00507283,
        0.00521265,
        0.0058332,
        0.00581253,
        0.00614186,
        0.00472505,
        0.00435131,
        0.00557287,
        0.00662912,
        0.00562948,
        0.00599544,
        0.00499382,
        0.00514564,
        0.00461379,
        0.00506463,
        0.00662403,
        0.00465888,
        0.0063509,
        0.0053892,
        0.00532625,
        0.00495537,
        0.00451282,
        0.00549434,
        0.00527971,
        0.00420049,
        0.00500507,
        0.00503664,
        0.00476246,
        0.00561812,
        0.00727205,
        0.00540959,
        0.0050749,
        0.00527247,
        0.00555579,
        0.00554878,
        0.00501918,
        0.00441899,
        0.00553619,
        0.00519053,
        0.00556944,
        0.00607602,
        0.00540327,
        0.00424768,
        0.00479943,
        0.00628829,
        0.00622159,
        0.00543629,
        0.00543774,
        0.00651846,
        0.00466631,
        0.00575345,
        0.00656688,
        0.00631971,
        0.00555766,
        0.00517383,
        0.00533322,
        0.00522396,
        0.00547488,
        0.00513245,
        0.00516527,
        0.00593945,
        0.00645375,
        0.00499378,
        0.00423361,
        0.00452341,
        0.00467561,
        0.00497423,
        0.00565126,
        0.00494834,
        0.00483942,
        0.00542636,
        0.00538886,
        0.00584592,
        0.00650262,
        0.00572149,
        0.00636156,
        0.00489983,
        0.00511607,
        0.0047953,
        0.00440098,
        0.00479986,
        0.00477006,
        0.00537722,
        0.00608172,
        0.00590289,
        0.00607761,
        0.00645076,
        0.00566444,
        0.00552967,
        0.00530692,
        0.00539336,
        0.00550127,
        0.00544225,
        0.00517679,
        0.00474974,
        0.00366131,
        0.0059549,
        0.00655197,
        0.00477977,
        0.00536567,
        0.00664653,
        0.00591415,
        0.00491565,
        0.00494893,
        0.00588386,
        0.00685967,
        0.00553443,
        0.0053047,
        0.00548453,
        0.00577055,
        0.00563441,
        0.00441492,
        0.00603057,
        0.00600835,
        0.00545812,
        0.00546395,
        0.00583534,
        0.00583667,
        0.00563857,
        0.0047767,
        0.00497699,
        0.00586967,
        0.00658506,
        0.00646869,
        0.00561128,
        0.005037,
        0.00512759,
        0.00575027,
        0.00530908,
        0.00509856,
        0.0061639,
        0.0050865,
        0.00499657,
        0.00534771,
        0.0061378,
        0.00673701,
        0.00631726,
        0.00473888,
        0.00473691,
        0.00581078,
        0.00574815,
        0.00541531,
        0.00567813,
        0.00616458,
        0.00518071,
        0.00622126,
        0.00640261,
        0.00657553,
        0.00629661,
        0.00558423,
        0.00522946,
        0.00638768,
        0.00546081,
        0.00530312,
        0.00527655,
        0.00594839,
        0.00713096,
        0.00724665,
        0.00750378,
        0.00584595,
        0.00549171,
        0.00569537,
        0.00572879,
        0.00526224,
        0.00419493,
        0.00598095,
        0.00672761,
        0.00602404,
        0.00600308,
        0.0068262,
        0.00656768,
        0.00673726,
        0.00672705,
        0.00685535,
        0.00648253,
        0.00572545,
        0.00506696,
        0.00486182,
        0.00500212,
        0.00524664,
        0.00522231,
        0.0054053,
        0.00607098,
        0.00698524,
        0.00727521,
        0.00702557,
        0.00647197,
        0.00749828,
        0.00894911,
        0.0097646,
        0.0108147,
        0.015802,
        0.0131661,
        0.0138831,
        0.0144394,
        0.0156284,
        0.0192588,
        0.0219428,
        0.0196933,
        0.0201076,
        0.0215116,
        0.0194621,
        0.0137359,
        0.00982765,
        0.0153628,
        0.0164951,
        0.0178145,
        0.0202742,
        0.0149309,
        0.0111337,
        0.00926118,
        0.00902217,
        0.00989261,
        0.00857941,
        0.00720918,
        0.00618804,
        0.00652379,
        0.00853664,
        0.00595708,
        0.00562642,
        0.00474978,
        0.00486147,
        0.00580083,
        0.00650507,
        0.00628914,
        0.0067861,
        0.00675739,
        0.00552757,
        0.00525742,
        0.00567352,
        0.00549162,
        0.0051963,
        0.00561926,
        0.00676158,
        0.00595778,
        0.00560864,
        0.0060309,
        0.00531787,
        0.00578886,
        0.00595432,
        0.00506128,
        0.0045238,
        0.00430983,
        0.00436528,
        0.00512297,
        0.00362023,
        0.00547438,
        0.006184,
        0.00520693,
        0.00428291,
        0.00492581,
        0.00575362,
        0.00540193,
        0.00541987,
        0.00560606,
        0.00489882,
        0.00417255,
        0.00485465,
        0.00421838,
        0.00541004,
        0.00511851,
        0.00505574,
        0.0054133,
        0.00547835,
        0.00468096,
        0.00472105,
        0.00490892,
        0.00607654,
        0.00570595,
        0.00473077,
        0.00483584,
        0.00526025,
        0.00497164,
        0.00492139,
        0.00540051,
        0.00473284,
        0.00376271,
        0.00429434,
        0.00481679,
        0.00428502,
        0.00465294,
        0.00489648,
        0.00486556,
        0.00471586,
        0.00463386,
        0.00487532,
        0.00564946,
        0.0052906,
        0.00499769,
        0.00459656,
        0.00411929,
        0.00454609,
        0.00496814,
        0.00548117,
        0.00513871,
        0.00533924,
        0.00663425,
        0.0057054,
        0.00594573,
        0.00577949,
        0.00489535,
        0.00498144,
        0.00559848,
        0.00581943,
        0.00520911,
        0.00582457,
        0.00591124,
        0.00495724,
        0.00539429,
        0.00581161,
        0.00525089,
        0.00572442,
        0.00612175,
        0.00560408,
        0.00595205,
        0.00606622,
        0.00599233,
        0.00631161,
        0.00592041,
        0.0055672,
        0.00582735,
        0.00621972,
        0.00691234,
        0.00655694,
        0.00660449,
        0.007166,
        0.00568748,
        0.00790079,
        0.010074,
        0.00880419,
        0.00930422,
        0.00955353,
        0.00638657,
        0.00755465,
        0.00699369,
        0.00649292,
        0.00659209,
        0.0063505,
        0.00624946,
        0.00599499,
        0.00654605,
        0.00580769,
        0.00491492,
        0.00496133,
        0.00562167,
        0.00699471,
        0.00619058,
        0.00682943,
        0.00671361,
        0.00550947,
        0.00525967,
        0.00563533,
        0.00662236,
        0.00654976,
        0.0059953,
        0.00618015,
        0.00579166,
        0.00510724,
        0.0056732,
        0.00625232,
        0.00575271,
        0.00544054,
        0.0050357,
        0.00515864,
        0.00514673,
        0.00509196,
        0.00599739,
        0.0052069,
        0.00573671,
        0.00493171,
        0.00455952,
        0.00572942,
        0.00539436,
        0.00626741,
        0.00569405,
        0.00466377,
        0.00530925,
        0.00562818,
        0.00516571,
        0.00467263,
        0.00533187,
        0.00519725,
        0.00549817,
        0.00632414,
        0.00584294,
        0.00555686,
        0.00537655,
        0.00483481,
        0.00491604,
        0.00572036,
        0.00580709,
        0.00606469,
        0.00592317,
        0.005203,
        0.00505921,
        0.00460456,
        0.00482187,
        0.00574472,
        0.00618266,
        0.00674395,
        0.00552654,
        0.00555806,
        0.00578851,
        0.00610607,
        0.00593573,
        0.00541491,
        0.00539986,
        0.00591905,
        0.00526615,
        0.00596021,
        0.00596611,
        0.00579572,
        0.00516905,
        0.00514465,
        0.00400721,
        0.00573176,
        0.00559799,
        0.00609452,
        0.00628665,
        0.00689936,
        0.00648507,
        0.00713446,
        0.00567777,
        0.00540413,
        0.00677147,
        0.00818557,
        0.0082687,
        0.00794118,
        0.00982011,
        0.00944679,
        0.0107538,
        0.0118437,
        0.0145842,
        0.0182266,
        0.0205146,
        0.0190222,
        0.021442,
        0.0185758,
        0.0147584,
        0.0117594,
        0.00997221,
        0.00894809,
        0.0105654,
        0.00896293,
        0.00712969,
        0.00712633,
        0.00740224,
        0.00692347,
        0.00726215,
        0.00713972,
        0.00744901,
        0.00767378,
        0.00705569,
        0.00629479,
        0.00638745,
        0.00658186,
        0.00574038,
        0.00553269,
        0.00614042,
        0.00645925,
        0.00591558,
        0.00576576,
        0.00653561,
        0.00639271,
        0.0058058,
        0.00646614,
        0.00623338,
        0.00610506,
        0.00698532,
        0.00636063,
        0.00524226,
        0.00559389,
        0.00571559,
        0.00608658,
        0.00592905,
        0.00602551,
        0.00622421,
        0.00475356,
        0.00472067,
        0.00544009,
        0.0055753,
        0.00528553,
        0.00601495,
        0.00665377,
        0.00522151,
        0.00602016,
        0.0062488,
        0.00538937,
        0.00569432,
        0.00582583,
        0.00542588,
        0.00675044,
        0.00657957,
        0.00699837,
        0.0066773,
        0.00746942,
        0.00738987,
        0.00731639,
        0.00788175,
        0.00742781,
        0.0048554,
        0.0065016,
        0.00647964,
        0.00529816,
        0.005032,
        0.00541402,
        0.00676188,
        0.0059433,
        0.00638971,
        0.00683361,
        0.00547026,
        0.00566304,
        0.00574526,
        0.00553602,
        0.00595683,
        0.00570245,
        0.00580963,
        0.00652785,
        0.00586253,
        0.00567852,
        0.00581507,
        0.00585138,
        0.00684197,
        0.00703708,
        0.00640215,
        0.00554011,
        0.00466668,
        0.00437693,
        0.00619117,
        0.00624429,
        0.00619226,
        0.00647001,
        0.00580106,
        0.00621408,
        0.00643762,
        0.00772803,
        0.00650467,
        0.00591665,
        0.00639154,
        0.00743929,
        0.00735476,
        0.00759312,
        0.00809023,
        0.00828687,
        0.00777124,
        0.00928319,
        0.00943448,
        0.0105662,
        0.0117289,
        0.0155127,
        0.0206197,
        0.0298895,
        0.0238865,
        0.0198914,
        0.0144928,
        0.00995824,
        0.0097803,
        0.0088232,
        0.00760659,
        0.00758865,
        0.00809267,
        0.00879769,
        0.00718934,
        0.00685734,
        0.00634862,
        0.0065281,
        0.00616631,
        0.00675412,
        0.00718688,
        0.00638849,
        0.00664872,
        0.00660584,
        0.00597182,
        0.00645683,
        0.00614969,
        0.00549681,
        0.00532231,
        0.00554455,
        0.00655866,
        0.00631114,
        0.00636177,
        0.00589314,
        0.00588552,
        0.00632342,
        0.00563188,
        0.00541508,
        0.00592778,
        0.00632963,
        0.00639998,
        0.00644463,
        0.00623805,
        0.00602752,
        0.00586839,
        0.00578351,
        0.00524657,
        0.00568768,
        0.00617685,
        0.00649506,
        0.00733035,
        0.00531362,
        0.00754151,
        0.00880024,
        0.00810669,
        0.00819429,
        0.00917789,
        0.00920553,
        0.0113322,
        0.0113124,
        0.0132879,
        0.0153459,
        0.0233405,
        0.0169854,
        0.0151807,
        0.0125643,
        0.0105865,
        0.00932656,
        0.00911318,
        0.00796582,
        0.0072244,
        0.00702039,
        0.00686324,
        0.00616775,
        0.00598344,
        0.00641832,
        0.00635406,
        0.00593382,
        0.00660851,
        0.00561469,
        0.00535223,
        0.00571023,
        0.00641205,
        0.00552799,
        0.00519334,
        0.00550072,
        0.00584446,
        0.00578732,
        0.00545898,
        0.00548428,
        0.00637127,
        0.00620372,
        0.00505077,
        0.00549491,
        0.00630355,
        0.00578404,
        0.0056262,
        0.00555749,
        0.0061182,
        0.00618364,
        0.00543481,
        0.00609755,
        0.00585317,
        0.00578165,
        0.00568464,
        0.00537971,
        0.00480498,
        0.00511143,
        0.00464676,
        0.00626474,
        0.00607878,
        0.00514439,
        0.00551866,
        0.00634522,
        0.00550789,
        0.00557578,
        0.005918,
        0.00575644,
        0.00493362,
        0.00489624,
        0.00500317,
        0.00482923,
        0.00556252,
        0.00667493,
        0.00679236,
        0.00523977,
        0.00494114,
        0.0052228,
        0.00477422,
        0.00575075,
        0.00591089,
        0.00580615,
        0.00610955,
        0.00554275,
        0.00477133,
        0.00478667,
        0.00573602,
        0.00703802,
        0.00550337,
        0.00527175,
        0.00577133,
        0.00544493,
        0.00468424,
        0.00485322,
        0.00594693,
        0.00483979,
        0.00526165,
        0.00609859,
        0.0062674,
        0.00554287,
        0.00531293,
        0.0066831,
        0.00555461,
        0.00464511,
        0.0054004,
        0.00523615,
        0.00540989,
        0.00560698,
        0.0049773,
        0.00482175,
        0.0063792,
        0.00476676,
        0.00437719,
        0.00438991,
        0.00537573,
        0.00627078,
        0.00544379,
        0.0069463,
        0.00639234,
        0.00521031,
        0.00553604,
        0.00604103,
        0.00605858,
        0.00589068,
        0.00559348,
        0.0042814,
        0.00341871,
        0.00442816,
        0.00523291,
        0.0052337,
        0.00519137,
        0.00571878,
        0.00529118,
        0.00594538,
        0.00502838,
        0.00473195,
        0.00586123,
        0.00747156,
        0.00786816,
        0.00637518,
        0.00537238,
        0.00515337,
        0.00702632,
        0.0080495,
        0.00674194,
        0.00521804,
        0.00601321,
        0.00697745,
        0.00716942,
        0.00632567,
        0.00606793,
        0.00546158,
        0.00570165,
        0.0053538,
        0.00571652,
        0.00790607,
        0.00653575,
        0.0130833,
        0.0106418,
        0.00620575,
        0.00620367,
        0.00578406,
        0.00599674,
        0.00692708,
        0.00644042,
        0.00614186,
        0.00623203,
        0.00628503,
        0.0063325,
        0.0069281,
        0.00569479,
        0.00548697,
        0.00448139,
        0.00445815,
        0.00483087,
        0.00566631,
        0.00697109,
        0.00623951,
        0.00750479,
        0.00686136,
        0.00724805,
        0.00703245,
        0.00644918,
        0.00606251,
        0.00573322,
        0.00653772,
        0.00597148,
        0.00483132,
        0.00490682,
        0.004966,
        0.00505452,
        0.0055561,
        0.00542308,
        0.00613928,
        0.0072751,
        0.00689711,
        0.00653613,
        0.00649135,
        0.00619418,
        0.0057518,
        0.00705089,
        0.00536417,
        0.00632863,
        0.00656761,
        0.00594516,
        0.00513332,
        0.00520568,
        0.00648969,
        0.00633522,
        0.00548091,
        0.00586026,
        0.00619271,
        0.00627747,
        0.00614169,
        0.00621978,
        0.00709452,
        0.00626612,
        0.00655849,
        0.00510263,
        0.00642967,
        0.00700583,
        0.00571064,
        0.00512875,
        0.00516907,
        0.00540634,
        0.00482906,
        0.00566422,
        0.00632271,
        0.00694885,
        0.00738411,
        0.00674075,
        0.00704319,
        0.00809444,
        0.00716026,
        0.00789414,
        0.00747688,
        0.00701728,
        0.00752237,
        0.0060897,
        0.00544322,
        0.00672507,
        0.00688309,
        0.00632083,
        0.00716886,
        0.00731897,
        0.00524703,
        0.00648081,
        0.00725406,
        0.0063397,
        0.00566526,
        0.00500091,
        0.00515633,
        0.00554588,
        0.00505886,
        0.0059513,
        0.00598459,
        0.00634606,
        0.00508271,
        0.00564485,
        0.00645003,
        0.00628803,
        0.00695769,
        0.00552914,
        0.00525806,
        0.00524737,
        0.00595813,
        0.0075034,
        0.00648059,
        0.00622185,
        0.00605979,
        0.00612217,
        0.00648394,
        0.00660413,
        0.00630236,
        0.00712008,
        0.00576021,
        0.00675439,
        0.00615726,
        0.00631655,
        0.00614253,
        0.00555424,
        0.00642548,
        0.00704211,
        0.0071128,
        0.00715463,
        0.00606732,
        0.00616533,
        0.00599836,
        0.00509566,
        0.00605089,
        0.00671442,
        0.00808767,
        0.00645706,
        0.00637705,
        0.0072697,
        0.00784804,
        0.00788738,
        0.00776361,
        0.00571885,
        0.00576357,
        0.00632362,
        0.006069,
        0.00605794,
        0.00632109,
        0.00624567,
        0.00623383,
        0.00601284,
        0.00533735,
        0.0060248,
        0.0067017,
        0.00622894,
        0.00573155,
        0.00635007,
        0.00583731,
        0.00648105,
        0.00609585,
        0.00571336,
        0.00709866,
        0.00685505,
        0.00564745,
        0.00689237,
        0.00636653,
        0.00666538,
        0.00651353,
        0.00528003,
        0.00548227,
        0.00600744,
        0.00605073,
        0.00660396,
        0.00690615,
        0.00610529,
        0.0060397,
        0.00682179,
        0.00700725,
        0.00623489,
        0.00577195,
        0.0066842,
        0.00603797,
        0.00431388,
        0.00604739,
        0.00744488,
        0.0076545,
        0.00679451,
        0.00618642,
        0.00703184,
        0.00661182,
        0.00653234,
        0.00844809,
        0.00707475,
        0.00591308,
        0.00597636,
        0.00618647,
        0.00635875,
        0.00667099,
        0.00485015,
        0.00559834,
        0.00555158,
        0.00567803,
        0.00606642,
        0.00608352,
        0.00621527,
        0.00743751,
        0.00605971,
        0.00616577,
        0.00625331,
        0.00656841,
        0.00651706,
        0.00636637,
        0.00787625,
        0.00576186,
        0.00602858,
        0.00565708,
        0.00578182,
        0.00604221,
        0.00646048,
        0.00661371,
        0.00524105,
        0.00598014,
        0.00497437,
        0.00488596,
        0.00543781,
        0.00626605,
        0.00615212,
        0.00752437,
        0.00850242,
        0.00532749,
        0.00612609,
        0.00573305,
        0.00681592,
        0.00671931,
        0.00581871,
        0.00556819,
        0.00587325,
        0.00642007,
        0.00632901,
        0.00610904,
        0.00578686,
        0.00494701,
        0.0055269,
        0.00648327,
        0.0064008,
        0.00664904,
        0.0074882,
        0.00718972,
        0.00860582,
        0.00821491,
        0.00799685,
        0.00954635,
        0.0103713,
        0.00948715,
        0.0117341,
        0.0114554,
        0.0123994,
        0.0145211,
        0.0170892,
        0.0232071,
        0.0217553,
        0.0176913,
        0.01389,
        0.0102969,
        0.0122493,
        0.00851134,
        0.00786598,
        0.00712213,
        0.00629422,
        0.00621522,
        0.00744637,
        0.0076056,
        0.00707404,
        0.0082527,
        0.00884702,
        0.00703392,
        0.00657152,
        0.00692071,
        0.00663997,
        0.00628097,
        0.00642487,
        0.00551387,
        0.00572936,
        0.00624479,
        0.00659491,
        0.00738354,
        0.00695973,
        0.00686882,
        0.00631199,
        0.00600112,
        0.00562594,
        0.00617093,
        0.00646518,
        0.00634149,
        0.00732007,
        0.00683736,
        0.00547763,
        0.00515235,
        0.00523303,
        0.00553777,
        0.00551855,
        0.00534002,
        0.00625908,
        0.00675845,
        0.00664102,
        0.00631273,
        0.00736971,
        0.00671286,
        0.00554069,
        0.00566832,
        0.00611204,
        0.00644407,
        0.00607393,
        0.00473794,
        0.00516881,
        0.0057216,
        0.00546697,
        0.00459041,
        0.00564514,
        0.0065154,
        0.00485936,
        0.00491348,
        0.00594133,
        0.00649421,
        0.00691731,
        0.00682203,
        0.00604551,
        0.0064271,
        0.00682262,
        0.00610004,
        0.00684275,
        0.00723054,
        0.00725102,
        0.00711498,
        0.00673582,
        0.00638147,
        0.00658481,
        0.00687373,
        0.00750677,
        0.0067435,
        0.00690336,
        0.00681728,
        0.00645067,
        0.00616211,
        0.00675742,
        0.00719847,
        0.00629911,
        0.00598235,
        0.00573501,
        0.00587864,
        0.00685699,
        0.00727605,
        0.00669816,
        0.00625008,
        0.00669144,
        0.00616578,
        0.00631817,
        0.00588654,
        0.0052768,
        0.00519163,
        0.00551176,
        0.00481888,
        0.00483797,
        0.00638193,
        0.00694748,
        0.00660674,
        0.00581081,
        0.00522886,
        0.0057783,
        0.00628409,
        0.00483448,
        0.00621033,
        0.00673223,
        0.00722101,
        0.00683572,
        0.00668843,
        0.00650126,
        0.00697037,
        0.00743485,
        0.0076612,
        0.00785512,
        0.0070926,
        0.00633189,
        0.0060772,
        0.0060587,
        0.00605401,
        0.00549266,
        0.00624001,
        0.00645578,
        0.00654903,
        0.00648981,
        0.0069967,
        0.00677777,
        0.00679323,
        0.00666553,
        0.00607903,
        0.0056999,
        0.00592248,
        0.00577155,
        0.00585997,
        0.00643222,
        0.00558798,
        0.00596658,
        0.00583572,
        0.00732647,
        0.00792039,
        0.00780637,
        0.00642443,
        0.00624702,
        0.00697461,
        0.00650818,
        0.00728447,
        0.00765317,
        0.00663271,
        0.00777313,
        0.00836219,
        0.00947727,
        0.00947733,
        0.00656622,
        0.0068798,
        0.00765255,
        0.00855735,
        0.00776026,
        0.00584425,
        0.00569597,
        0.0062915,
        0.00674688,
        0.00678221,
        0.00678148,
        0.00704927,
        0.00757646,
        0.00731993,
        0.00627013,
        0.00589046,
        0.00601887,
        0.0056442,
        0.00580959,
        0.00579137,
        0.00614543,
        0.00596562,
        0.00700055,
        0.00601842,
        0.0061686,
        0.00707729,
        0.0068364,
        0.00613287,
        0.00575882,
        0.00753183,
        0.00770574,
        0.00716715,
        0.00696764,
        0.00702877,
        0.00743613,
        0.00759562,
        0.00652377,
        0.00796638,
        0.0061144,
        0.00559432,
        0.00649484,
        0.00708864,
        0.00653008,
        0.00795125,
        0.00942511,
        0.00920111,
        0.0120836,
        0.0125749,
        0.013324,
        0.0136414,
        0.0138478,
        0.0188462,
        0.0188776,
        0.02028,
        0.0178208,
        0.0170354,
        0.0219476,
        0.023638,
        0.0248436,
        0.021901,
        0.0179875,
        0.0171787,
        0.0174737,
        0.016802,
        0.0154318,
        0.0144316,
        0.0148174,
        0.015951,
        0.0133415,
        0.0141963,
        0.0198365,
        0.0193073,
        0.0163027,
        0.0146799,
        0.0155666,
        0.0177529,
        0.0141335,
        0.0154023,
        0.0124458,
        0.0105879,
        0.00991046,
        0.0109687,
        0.00853355,
        0.00904173,
        0.0103225,
        0.0109591,
        0.010872,
        0.0118518,
        0.0114619,
        0.0108583,
        0.00957063,
        0.00952469,
        0.00810685,
        0.0101484,
        0.0112247,
        0.0141169,
        0.0144144,
        0.0144364,
        0.012554,
        0.0116517,
        0.0114253,
        0.0112569,
        0.0101554,
        0.00838178,
        0.00981393,
        0.00996083,
        0.010211,
        0.00917075,
        0.00900388,
        0.00844916,
        0.00815609,
        0.0086963,
        0.00908234,
        0.00927995,
        0.0104277,
        0.0115609,
        0.00968737,
        0.00868953,
        0.0102433,
        0.0106251,
        0.00993473,
        0.00890706,
        0.00958673,
        0.0100813,
        0.00844171,
        0.00778996,
        0.0071949,
        0.00831665,
        0.00870206,
        0.00760201,
        0.00688141,
        0.00713833,
        0.0076616,
        0.00789734,
        0.00731759,
        0.00726451,
        0.00741387,
        0.00651269,
        0.00693952,
        0.00821152,
        0.00734496,
        0.00592163,
        0.0064663,
        0.00687246,
        0.00691729,
        0.00837378,
        0.00733033,
        0.00626242,
        0.00693631,
        0.00705954,
        0.00779693,
        0.00821765,
        0.00853438,
        0.00775465,
        0.0063184,
        0.00481661,
        0.00477577,
        0.00548051,
        0.00560554,
        0.00685879,
        0.00828599,
        0.0085149,
        0.00768275,
        0.00684657,
        0.00682454,
        0.00740608,
        0.00693969,
        0.00649207,
        0.00611209,
        0.0058223,
        0.00620415,
        0.00789483,
        0.00833843,
        0.00696766,
        0.00655267,
        0.00635797,
        0.00624381,
        0.00612964,
        0.00647229,
        0.00700938,
        0.00661382,
        0.00637477,
        0.00630137,
        0.00607727,
        0.00609552,
        0.00625409,
        0.00753539,
        0.00876901,
        0.00965179,
        0.0107059,
        0.00819609,
        0.0077584,
        0.00680083,
        0.00635486,
        0.00744398,
        0.00821476,
        0.0097207,
        0.00921252,
        0.00881744,
        0.00798602,
        0.00689849,
        0.00601139,
        0.00515492,
        0.00522968,
        0.00640974,
        0.00631743,
        0.00543795,
        0.00627124,
        0.00819618,
        0.00841599,
        0.00754427,
        0.00667287,
        0.00671605,
        0.00620024,
        0.00691476,
        0.00669999,
        0.00605877,
        0.00618216,
        0.0058212,
        0.00699996,
        0.00621498,
        0.0070915,
        0.00623737,
        0.00679193,
        0.0072124,
        0.00831077,
        0.00747954,
        0.00715171,
        0.00738609,
        0.00591152,
        0.00579495,
        0.00593806,
        0.00583522,
        0.00568947,
        0.0061509,
        0.00601348,
        0.00648778,
        0.00683675,
        0.00793775,
        0.00972276,
        0.011197,
        0.0101488,
        0.00842524,
        0.00691296,
        0.00587601,
        0.00583464,
        0.00567379,
        0.00647445,
        0.00622234,
        0.00568968,
        0.00612719,
        0.00603325,
        0.00878722,
        0.00796932,
        0.00868491,
        0.00813691,
        0.0069741,
        0.00615131,
        0.00698609,
        0.00981494,
        0.010529,
        0.00836046,
        0.0107544,
        0.00991871,
        0.00860704,
        0.00887124,
        0.0116295,
        0.0155386,
        0.0148021,
        0.0129639,
        0.0120551,
        0.0123771,
        0.0158958,
        0.0197562,
        0.0393573,
        0.0248183,
        0.0330997,
        0.0131035,
        0.0116884,
        0.0108693,
        0.00984376,
        0.010014,
        0.010687,
        0.0107767,
        0.0109757,
        0.00996229,
        0.00769407,
        0.0080148,
        0.00800433,
        0.00775611,
        0.0075938,
        0.00792714,
        0.00879079,
        0.00786284,
        0.00796849,
        0.00873527,
        0.00911239,
        0.00893216,
        0.00859139,
        0.00793023,
        0.00673024,
        0.00647311,
        0.00682805,
        0.00887525,
        0.00938214,
        0.0090386,
        0.00805436,
        0.00721359,
        0.00701328,
        0.0061439,
        0.00712983,
        0.00621685,
        0.00665404,
        0.00570066,
        0.00612119,
        0.00737257,
        0.00708104,
        0.00643592,
        0.00660787,
        0.00683781,
        0.00760864,
        0.00697723,
        0.00572071,
        0.00554569,
        0.00653555,
        0.00715853,
        0.00768732,
        0.00651588,
        0.00956769,
        0.00951368,
        0.00830922,
        0.00764198,
        0.00803754,
        0.0087392,
        0.00746708,
        0.00580017,
        0.00627181,
        0.00636393,
        0.00642681,
        0.00627269,
        0.00648011,
        0.00725029,
        0.00711735,
        0.00926218,
        0.012151,
        0.0146322,
        0.0128959,
        0.0111174,
        0.00978967,
        0.00843921,
        0.00929474,
        0.00684495,
        0.0110302,
        0.010476,
        0.0105743,
        0.0100872,
        0.00949528,
        0.00860204,
        0.00658752,
        0.00732067,
        0.00598335,
        0.00585755,
        0.00590818,
        0.00609032,
        0.00590309,
        0.00559742,
        0.00596463,
        0.00682527,
        0.0066354,
        0.00661702,
        0.00667291,
        0.00647304,
        0.00603127,
        0.0055377,
        0.00531686,
        0.00584718,
        0.00757845,
        0.00774117,
        0.00774451,
        0.00701946,
        0.00745128,
        0.00653924,
        0.00705881,
        0.00583872,
        0.00720304,
        0.00567082,
        0.00797578,
        0.00940128,
        0.0115328,
        0.0129201,
        0.0115563,
        0.00964518,
        0.0115876,
        0.00880475,
        0.00854704,
        0.00719528,
        0.00701695,
        0.00712981,
        0.00668153,
        0.00657121,
        0.00655811,
        0.00615871,
        0.00663149,
        0.00644174,
        0.00654898,
        0.00578788,
        0.00544326,
        0.00615498,
        0.00512575,
        0.00623072,
        0.0069369,
        0.00622361,
        0.00566622,
        0.00522298,
        0.00559344,
        0.00638833,
        0.00614924,
        0.00595242,
        0.00612898,
        0.00604533,
        0.00748039,
        0.00908362,
        0.0130743,
        0.0147506,
        0.010974,
        0.0102056,
        0.00739629,
        0.00638036,
        0.00681842,
        0.00904753,
        0.0112137,
        0.0110011,
        0.00870409,
        0.0070584,
        0.00591888,
        0.00668875,
        0.00685113,
        0.00741958,
        0.00775314,
        0.00835635,
        0.0106304,
        0.0141653,
        0.0148253,
        0.0106831,
        0.00873946,
        0.0106558,
        0.0112659,
        0.0100743,
        0.00920066,
        0.00964312,
        0.0100206,
        0.00980837,
        0.00950463,
        0.00822271,
        0.00716641,
        0.00656176,
        0.00670091,
        0.00715016,
        0.00783628,
        0.00991352,
        0.00949538,
        0.0073759,
        0.00669339,
        0.00787672,
        0.00757984,
        0.00629551,
        0.00650043,
        0.00776392,
        0.00573298,
        0.0056605,
        0.00578416,
        0.00691821,
        0.00714619,
        0.00669694,
        0.0065125,
        0.00695951,
        0.00772821,
        0.00773485,
        0.0055209,
        0.00519492,
        0.00560298,
        0.00638234,
        0.00701541,
        0.00719992,
        0.00703818,
        0.00627915,
        0.00751498,
        0.00620562,
        0.00552411,
        0.00666842,
        0.00652544,
        0.00545651,
        0.00635208,
        0.00797145,
        0.00843852,
        0.00841079,
        0.0085263,
        0.00801653,
        0.00794171,
        0.00772975,
        0.00659099,
        0.0055752,
        0.00719095,
        0.00755767,
        0.00972412,
        0.00849262,
        0.00733216,
        0.0067168,
        0.00650812,
        0.00700806,
        0.00889187,
        0.0143946,
        0.0124996,
        0.0108889,
        0.0082065,
        0.00663381,
        0.0056393,
        0.00554749,
        0.00675021,
        0.00607759,
        0.00638306,
        0.0062845,
        0.00509577,
        0.00425581,
        0.00491932,
        0.00560231,
        0.00518744,
        0.00525165,
        0.00666243,
        0.0065214,
        0.00653881,
        0.00584686,
        0.00651019,
        0.00754584,
        0.00973,
        0.0129731,
        0.0125743,
        0.00971699,
        0.00975546,
        0.00820572,
        0.00612195,
        0.005742,
        0.00651955,
        0.00823175,
        0.0107465,
        0.0104106,
        0.0103088,
        0.0105188,
        0.0113709,
        0.0127327,
        0.0116371,
        0.00946812,
        0.00991441,
        0.0102885,
        0.00866076,
        0.00692952,
        0.00804559,
        0.00872373,
        0.00829727,
        0.00796373,
        0.00827227,
        0.0086323,
        0.0087723,
        0.0098839,
        0.0102962,
        0.0113355,
        0.014573,
        0.014603,
        0.0148291,
        0.0178871,
        0.0196912,
        0.022,
        0.0261901,
        0.0215621,
        0.0168131,
        0.0139427,
        0.0138049,
        0.0128376,
        0.0105846,
        0.0103074,
        0.0091325,
        0.00759798,
        0.007175,
        0.00744153,
        0.00778348,
        0.00832346,
        0.00853543,
        0.00797365,
        0.00718713,
        0.00747089,
        0.00767606,
        0.00782102,
        0.00766018,
        0.00718127,
        0.00617707,
        0.00596049,
        0.00674796,
        0.00674256,
        0.00717743,
        0.00702702,
        0.00685165,
        0.00725901,
        0.00916819,
        0.0100282,
        0.00934885,
        0.011969,
        0.0135436,
        0.0112458,
        0.0089555,
        0.00906309,
        0.0102037,
        0.00892942,
        0.00737415,
        0.0079017,
        0.00783342,
        0.00734851,
        0.00839285,
        0.00808758,
        0.00740435,
        0.00740235,
        0.00778383,
        0.00855868,
        0.00862439,
        0.00900749,
        0.0102968,
        0.00901686,
        0.00778698,
        0.00777238,
        0.00695909,
        0.00721105,
        0.00771875,
        0.00750009,
        0.00847313,
        0.00894452,
        0.00781099,
        0.00914561,
        0.00863367,
        0.00903944,
        0.0112615,
        0.0128938,
        0.0141732,
        0.0171862,
        0.021223,
        0.0186115,
        0.015102,
        0.0138059,
        0.0150717,
        0.0165049,
        0.0185003,
        0.0211267,
        0.0159191,
        0.0134665,
        0.0120101,
        0.0148299,
        0.0153898,
        0.0154837,
        0.014765,
        0.010901,
        0.00909975,
        0.00795432,
        0.00895751,
        0.00842039,
        0.00741609,
        0.00838383,
        0.00889012,
        0.00845106,
        0.00726737,
        0.00669343,
        0.00759099,
        0.00897614,
        0.00727629,
        0.00703144,
        0.00685884,
        0.00633802,
        0.00671604,
        0.00775509,
        0.00688494,
        0.00688382,
        0.00648314,
        0.00811545,
        0.00804893,
        0.00737412,
        0.00735489,
        0.00804189,
        0.00955529,
        0.0115804,
        0.0131765,
        0.0115697,
        0.0100501,
        0.00922279,
        0.00940719,
        0.00943898,
        0.00895427,
        0.00863742,
        0.0100745,
        0.0122875,
        0.0116304,
        0.0121451,
        0.0125535,
        0.0179358,
        0.0268299,
        0.0489976,
        0.0320451,
        0.0281288,
        0.0210618,
        0.0131444,
        0.0127314,
        0.0117611,
        0.0108673,
        0.010443,
        0.0100516,
        0.0107804,
        0.0113011,
        0.0124096,
        0.0100922,
        0.00838204,
        0.00755753,
        0.00633301,
        0.00660051,
        0.00764084,
        0.00921368,
        0.0106121,
        0.0116944,
        0.00818494,
        0.00771403,
        0.00836084,
        0.00828232,
        0.00775474,
        0.0074434,
        0.0074961,
        0.00747055,
        0.00711714,
        0.00722506,
        0.00730924,
        0.0076263,
        0.00718401,
        0.00797132,
        0.00997973,
        0.0131438,
        0.0142958,
        0.0151432,
        0.0154865,
        0.0126337,
        0.00935639,
        0.00789993,
        0.00827601,
        0.00863094,
        0.00793214,
        0.00778525,
        0.00693946,
        0.00736827,
        0.00705327,
        0.00837539,
        0.00861002,
        0.00791982,
        0.00785901,
        0.00860874,
        0.00867302,
        0.00918247,
        0.00794067,
        0.00830181,
        0.0085677,
        0.00839303,
        0.0102309,
        0.0146625,
        0.0188873,
        0.0168999,
        0.0144677,
        0.0153358,
        0.0204832,
        0.0217988,
        0.0205339,
        0.0176455,
        0.0147568,
        0.0116135,
        0.00929973,
        0.00876741,
        0.00791389,
        0.00870563,
        0.00811473,
        0.0081081,
        0.00886917,
        0.009678,
        0.0112239,
        0.014303,
        0.00823776,
        0.00927915,
        0.00964016,
        0.0102987,
        0.00951467,
        0.00908144,
        0.00855422,
        0.00825391,
        0.00943656,
        0.00943405,
        0.0104604,
        0.0101933,
        0.0094668,
        0.00915858,
        0.0101182,
        0.012408,
        0.0137296,
        0.0141315,
        0.0176404,
        0.0140186,
        0.0118404,
        0.0129984,
        0.0101763,
        0.00985664,
        0.0098581,
        0.00897227,
        0.00954084,
        0.0103601,
        0.0112908,
        0.014219,
        0.0140298,
        0.0107364,
        0.0089398,
        0.00859644,
        0.00893253,
        0.00991911,
        0.00990665,
        0.00786425,
        0.0070119,
        0.00860631,
        0.0104727,
        0.011802,
        0.0121391,
        0.0105038,
        0.00847737,
        0.00884048,
        0.00992049,
        0.0100601,
        0.00996991,
        0.00961871,
        0.00963348,
        0.0107653,
        0.0112343,
        0.010926,
        0.00994092,
        0.00867851,
        0.00908757,
        0.00835912,
        0.00810558,
        0.00987613,
        0.0106037,
        0.0130204,
        0.0136059,
        0.0171358,
        0.0135004,
        0.0108086,
        0.0136852,
        0.0170244,
        0.0151141,
        0.0115692,
        0.00918766,
        0.0110343,
        0.00973841,
        0.0089483,
        0.00863578,
        0.0078238,
        0.00960005,
        0.009918,
        0.00934733,
        0.00821077,
        0.00784854,
        0.00897402,
        0.00959949,
        0.0132624,
        0.012175,
        0.0102282,
        0.00793428,
        0.0079484,
        0.00770251,
        0.00736255,
        0.00782592,
        0.00821974,
        0.00839394,
        0.00765187,
        0.00771837,
        0.00843731,
        0.00866796,
        0.00911132,
        0.00930902,
        0.00890836,
        0.00809545,
        0.0077989,
        0.00867847,
        0.0080951,
        0.00799261,
        0.0106603,
        0.0133702,
        0.0135859,
        0.0126158,
        0.0112742,
        0.0101887,
        0.00835374,
        0.0108956,
        0.0165689,
        0.0258729,
        0.0271805,
        0.0208345,
        0.0127418,
        0.00868662,
        0.00905942,
        0.00880175,
        0.00881505,
        0.00763511,
        0.00867982,
        0.00746463,
        0.00831764,
        0.00941994,
        0.0101845,
        0.0123929,
        0.0154362,
        0.0139043,
        0.014641,
        0.0130158,
        0.00996588,
        0.00875441,
        0.00853885,
        0.00872122,
        0.00876763,
        0.00775489,
        0.00681107,
        0.00616478,
        0.00739289,
        0.00831789,
        0.00776543,
        0.00746168,
        0.00802412,
        0.00946695,
        0.0113882,
        0.0120686,
        0.0143044,
        0.0138225,
        0.0124785,
        0.00966326,
        0.0086482,
        0.00795959,
        0.00778685,
        0.00942874,
        0.0100595,
        0.00982164,
        0.010745,
        0.0118807,
        0.0101322,
        0.00943636,
        0.010179,
        0.00945915,
        0.00921791,
        0.00945025,
        0.0076749,
        0.00930286,
        0.0109296,
        0.011194,
        0.0119618,
        0.0122383,
        0.0116278,
        0.0105601,
        0.0117765,
        0.0113901,
        0.0120991,
        0.0141436,
        0.016481,
        0.0234139,
        0.0290452,
        0.0232027,
        0.0158989,
        0.0200213,
        0.0228007,
        0.0258973,
        0.0220612,
        0.0174283,
        0.0148312,
        0.0147182,
        0.0140409,
        0.0124801,
        0.0139099,
        0.0166731,
        0.0210869,
        0.0173628,
        0.0159266,
        0.0127966,
        0.0122219,
        0.0110909,
        0.0110768,
        0.0120829,
        0.00894666,
        0.00947371,
        0.00887371,
        0.00974417,
        0.0102892,
        0.00871532,
        0.00995528,
        0.0109466,
        0.0130267,
        0.013018,
        0.0110436,
        0.00946521,
        0.00914303,
        0.00910174,
        0.00900469,
        0.00939497,
        0.00954255,
        0.011209,
        0.0102372,
        0.009402,
        0.00823641,
        0.00817754,
        0.00888748,
        0.00922461,
        0.00939419,
        0.00974178,
        0.00920499,
        0.0112064,
        0.0143824,
        0.0151008,
        0.0123185,
        0.00952649,
        0.00855168,
        0.00879014,
        0.00962567,
        0.0111434,
        0.0122157,
        0.0113173,
        0.0109325,
        0.0113756,
        0.0106989,
        0.0115114,
        0.0150056,
        0.0239493,
        0.029008,
        0.0231434,
        0.0159324,
        0.0102208,
        0.00914403,
        0.00846657,
        0.00947474,
        0.0101453,
        0.0119286,
        0.0149495,
        0.014709,
        0.0121145,
        0.0112841,
        0.0107839,
        0.0109373,
        0.0106435,
        0.00889887,
        0.0123013,
        0.0162715,
        0.0170677,
        0.0149072,
        0.0126658,
        0.0114752,
        0.0107683,
        0.0110017,
        0.0112429,
        0.0135238,
        0.0217784,
        0.0171646,
        0.0134337,
        0.011493,
        0.0106083,
        0.0110681,
        0.0133214,
        0.0157315,
        0.0146771,
        0.0116475,
        0.0102245,
        0.0088895,
        0.0102973,
        0.0104407,
        0.0111496,
        0.0105701,
        0.00987464,
        0.0105064,
        0.0112317,
        0.0118288,
        0.00903222,
        0.00900727,
        0.00885428,
        0.00877795,
        0.0100178,
        0.0100075,
        0.0102253,
        0.0113246,
        0.0114006,
        0.0106199,
        0.0130216,
        0.0164416,
        0.0163918,
        0.0135084,
        0.0115601,
        0.0113034,
        0.00881869,
        0.00957176,
        0.00960068,
        0.0095166,
        0.011592,
        0.0134348,
        0.0150163,
        0.0124436,
        0.0113638,
        0.00928175,
        0.00911751,
        0.00872935,
        0.00894643,
        0.0100639,
        0.0107396,
        0.0108015,
        0.0108653,
        0.00957349,
        0.0112075,
        0.0143519,
        0.0145389,
        0.0169441,
        0.0154537,
        0.0139298,
        0.0151823,
        0.0167931,
        0.0166324,
        0.0177009,
        0.0252209,
        0.0427204,
        0.035485,
        0.0284296,
        0.0253144,
        0.0206097,
        0.020048,
        0.0188125,
        0.0174818,
        0.018211,
        0.0194042,
        0.0191496,
        0.0187141,
        0.0159524,
        0.0181641,
        0.0171688,
        0.0170018,
        0.0148877,
        0.0126881,
        0.0113427,
        0.0106064,
        0.0127469,
        0.0153483,
        0.0116351,
        0.011368,
        0.00994468,
        0.0126679,
        0.00990974,
        0.00855273,
        0.00953407,
        0.0111734,
        0.0121926,
        0.0134916,
        0.0160315,
        0.0176429,
        0.0147449,
        0.010911,
        0.0110225,
        0.0127299,
        0.0196872,
        0.0281148,
        0.0344503,
        0.0266044,
        0.0154835,
        0.0124653,
        0.010305,
        0.0102466,
        0.011422,
        0.00952332,
        0.0101194,
        0.0103151,
        0.00946486,
        0.00865926,
        0.00790225,
        0.00925857,
        0.0102854,
        0.00925533,
        0.0111968,
        0.010848,
        0.00863853,
        0.0100536,
        0.00832134,
        0.00941696,
        0.0098488,
        0.0101592,
        0.0109489,
        0.0108406,
        0.0101565,
        0.0118506,
        0.0157762,
        0.0206724,
        0.0167846,
        0.0208571,
        0.0158936,
        0.0125131,
        0.00990925,
        0.0147349,
        0.0201265,
        0.0206701,
        0.0140311,
        0.010783,
        0.00973299,
        0.00963187,
        0.00998415,
        0.0100149,
        0.0101848,
        0.0105067,
        0.0139771,
        0.011694,
        0.0112402,
        0.00989051,
        0.00928438,
        0.00942033,
        0.0110029,
        0.010691,
        0.00898007,
        0.00983368,
        0.0116846,
        0.0117172,
        0.0108709,
        0.00974289,
        0.0110484,
        0.0138034,
        0.0134949,
        0.0121076,
        0.0104907,
        0.0108077,
        0.0116821,
        0.0107928,
        0.0104067,
        0.0100544,
        0.00915532,
        0.00866663,
        0.00785857,
        0.0071745,
        0.00621638,
        0.00819178,
        0.0079725,
        0.00788549,
        0.00773547,
        0.00798938,
        0.00778296,
        0.00836799,
        0.00913817,
        0.00745448,
        0.00944466,
        0.00825704,
        0.00792164,
        0.00813621,
        0.00870635,
        0.00891024,
        0.00951012,
        0.00918416,
        0.00922008,
        0.00878885,
        0.00922112,
        0.00894759,
        0.0124755,
        0.0145707,
        0.012706,
        0.0114621,
        0.0107454,
        0.0102446,
        0.00924249,
        0.0082269,
        0.00921849,
        0.00909627,
        0.00898253,
        0.00926399,
        0.0101554,
        0.0101393,
        0.00896978,
        0.00863517,
        0.00932068,
        0.00965509,
        0.00992965,
        0.0106902,
        0.0122433,
        0.0143965,
        0.0163904,
        0.013823,
        0.0123414,
        0.012134,
        0.012217,
        0.010883,
        0.00982403,
        0.00980239,
        0.00901167,
        0.00981163,
        0.00927606,
        0.0125914,
        0.0148837,
        0.0138742,
        0.0136142,
        0.0145882,
        0.0171876,
        0.0227243,
        0.0269624,
        0.0220629,
        0.02426,
        0.0205402,
        0.0169466,
        0.0157771,
        0.0144153,
        0.0124906,
        0.0108712,
        0.0106092,
        0.0116656,
        0.0105482,
        0.00970034,
        0.00866604,
        0.00961581,
        0.0106,
        0.0137903,
        0.0164111,
        0.0132313,
        0.00999108,
        0.00805231,
        0.00847134,
        0.00834847,
        0.0088579,
        0.009047,
        0.00897471,
        0.00842355,
        0.00755614,
        0.00916048,
        0.0083449,
        0.00849529,
        0.00805741,
        0.0088251,
        0.00862617,
        0.00856192,
        0.0095625,
        0.0108275,
        0.0141396,
        0.0159606,
        0.0137345,
        0.0104109,
        0.00846035,
        0.00829438,
        0.00864771,
        0.0095422,
        0.0133981,
        0.0172678,
        0.0197851,
        0.0222675,
        0.0214319,
        0.0155041,
        0.0107546,
        0.00892793,
        0.00863294,
        0.00814783,
        0.0100811,
        0.00977634,
        0.00944384,
        0.00957499,
        0.0107137,
        0.0115205,
        0.0108511,
        0.00960909,
        0.00941604,
        0.00883678,
        0.00771348,
        0.0106139,
        0.00944163,
        0.00929834,
        0.00893696,
        0.00887262,
        0.0093152,
        0.00912303,
        0.00868476,
        0.00821618,
        0.00923492,
        0.00814455,
        0.00926479,
        0.009401,
        0.0100427,
        0.0134765,
        0.015729,
        0.0155107,
        0.0136272,
        0.0106793,
        0.00857311,
        0.00995768,
        0.00973976,
        0.0106084,
        0.0105839,
        0.0089198,
        0.0077604,
        0.0075367,
        0.0102975,
        0.00956895,
        0.00937002,
        0.0104775,
        0.0120252,
        0.00985038,
        0.00888105,
        0.0103532,
        0.0085617,
        0.00886672,
        0.00869414,
        0.00825546,
        0.00770811,
        0.00767595,
        0.00796667,
        0.00827728,
        0.00771624,
        0.00814589,
        0.00898271,
        0.0081455,
        0.00873361,
        0.0103107,
        0.0131246,
        0.0143082,
        0.0131206,
        0.00974022,
        0.0096121,
        0.0110897,
        0.010551,
        0.00980808,
        0.00998994,
        0.00978929,
        0.00933247,
        0.00889836,
        0.009197,
        0.00921181,
        0.0099416,
        0.00983932,
        0.00792417,
        0.00683358,
        0.00735401,
        0.00809794,
        0.0105641,
        0.0122364,
        0.0138301,
        0.0174055,
        0.0150676,
        0.0118819,
        0.00988447,
        0.0103638,
        0.00881455,
        0.00885101,
        0.00972417,
        0.0100351,
        0.0102907,
        0.0114701,
        0.0147283,
        0.0136959,
        0.011069,
        0.00936645,
        0.00889478,
        0.00929936,
        0.00800787,
        0.0102536,
        0.0116164,
        0.0106995,
        0.0102151,
        0.0131066,
        0.0156604,
        0.0157578,
        0.0116043,
        0.0104095,
        0.00905453,
        0.00922036,
        0.00938091,
        0.0108139,
        0.012655,
        0.0126485,
        0.0135735,
        0.0122944,
        0.0113849,
        0.0115524,
        0.0109699,
        0.0108261,
        0.0120769,
        0.0145323,
        0.0159688,
        0.0140289,
        0.0111658,
        0.0107122,
        0.00998348,
        0.0109549,
        0.0115666,
        0.0109612,
        0.0107602,
        0.0110084,
        0.011316,
        0.0110937,
        0.0134412,
        0.0170469,
        0.0142765,
        0.0120258,
        0.0120258,
        0.0116552,
        0.0161189,
        0.0201591,
        0.0187595,
        0.0145061,
        0.0106737,
        0.00956271,
        0.00997655,
        0.00904336,
        0.00708313,
        0.00916426,
        0.00941188,
        0.00987577,
        0.0137183,
        0.0166637,
        0.0168105,
        0.0137648,
        0.011786,
        0.0101277,
        0.00924537,
        0.0103147,
        0.0102758,
        0.00789692,
        0.00827451,
        0.00896379,
        0.00858952,
        0.00865043,
        0.00901246,
        0.0077522,
        0.00821818,
        0.00826028,
        0.00885348,
        0.00848424,
        0.00891758,
        0.00942687,
        0.0088353,
        0.00868819,
        0.00880167,
        0.00828408,
        0.0092065,
        0.011387,
        0.0114641,
        0.0136264,
        0.0144299,
        0.00962326,
        0.00891206,
        0.00919465,
        0.0101928,
        0.00905893,
        0.00885159,
        0.00940216,
        0.00971497,
        0.00915083,
        0.00979013,
        0.0113361,
        0.0140223,
        0.0121481,
        0.0110609,
        0.0125095,
        0.0148973,
        0.0160456,
        0.0159059,
        0.0180736,
        0.0239096,
        0.0335261,
        0.0558926,
        0.0304641,
        0.0263673,
        0.0211018,
        0.0215519,
        0.0202333,
        0.0171638,
        0.018269,
        0.0164318,
        0.0132687,
        0.0128069,
        0.0120697,
        0.0109153,
        0.0103719,
        0.0112339,
        0.0128446,
        0.0106801,
        0.0098909,
        0.0108046,
        0.0105534,
        0.0100272,
        0.0102636,
        0.0123063,
        0.0127894,
        0.0112549,
        0.0104888,
        0.0112824,
        0.012898,
        0.0151367,
        0.0142663,
        0.0166652,
        0.0138633,
        0.0148155,
        0.0174175,
        0.013935,
        0.0115165,
        0.0113547,
        0.0108019,
        0.0100092,
        0.0100205,
        0.00862391,
        0.0102213,
        0.010506,
        0.0107387,
        0.0107159,
        0.0115317,
        0.0117088,
        0.0131047,
        0.0139829,
        0.0155014,
        0.0181986,
        0.0196947,
        0.0231549,
        0.0253358,
        0.0251095,
        0.0191602,
        0.0191585,
        0.0262638,
        0.0356017,
        0.0346651,
        0.0289905,
        0.022806,
        0.0198813,
        0.0184042,
        0.0185527,
        0.021158,
        0.021139,
        0.0151994,
        0.0160352,
        0.0192542,
        0.0172182,
        0.0151053,
        0.0109198,
        0.0123685,
        0.0125275,
        0.0117687,
        0.0145304,
        0.0172108,
        0.0137484,
        0.00917427,
        0.0104367,
        0.00952388,
        0.00907826,
        0.00922301,
        0.0112039,
        0.010219,
        0.0101357,
        0.0110562,
        0.0113597,
        0.0110015,
        0.0109492,
        0.0114068,
        0.0117595,
        0.0117054,
        0.0163301,
        0.0114825,
        0.0100273,
        0.0120941,
        0.0115979,
        0.00986063,
        0.00988514,
        0.0109028,
        0.0106527,
        0.00948255,
        0.00905352,
        0.00964477,
        0.0126676,
        0.0124287,
        0.0131288,
        0.0138729,
        0.0163675,
        0.0199008,
        0.027836,
        0.0348289,
        0.0351261,
        0.033615,
        0.0295923,
        0.0241699,
        0.0191556,
        0.0184211,
        0.019097,
        0.0136686,
        0.0111995,
        0.0104321,
        0.010525,
        0.0110477,
        0.0105626,
        0.00987201,
        0.0109686,
        0.00958532,
        0.0109147,
        0.0104594,
        0.00837753,
        0.00814351,
        0.00838757,
        0.00916532,
        0.00807677,
        0.00666852,
        0.00656587,
        0.00698062,
        0.00915835,
        0.00842252,
        0.00826239,
        0.0101913,
        0.00911122,
        0.00897573,
        0.008544,
        0.00728872,
        0.00766027,
        0.00851519,
        0.00833243,
        0.00808302,
        0.00849505,
        0.00994789,
        0.00998556,
        0.0115924,
        0.0117367,
        0.0104849,
        0.00838247,
        0.00869968,
        0.00912347,
        0.00868898,
        0.00862129,
        0.00908354,
        0.00936878,
        0.0104193,
        0.0106108,
        0.0106395,
        0.00928556,
        0.00809686,
        0.00944585,
        0.00902344,
        0.00914349,
        0.00928669,
        0.00883755,
        0.00896298,
        0.00967774,
        0.00982117,
        0.0114536,
        0.0126631,
        0.010642,
        0.0116324,
        0.0115042,
        0.0114095,
        0.0111641,
        0.00790176,
        0.00975973,
        0.00917699,
        0.00750872,
        0.00748148,
        0.00926573,
        0.00913359,
        0.00661759,
        0.00866325,
        0.00834639,
        0.00848678,
        0.00952036,
        0.0085607,
        0.00816336,
        0.00866323,
        0.00845261,
        0.00893429,
        0.00902242,
        0.0079876,
        0.00765687,
        0.00789878,
        0.00703297,
        0.0086516,
        0.0074126,
        0.00950745,
        0.00858203,
        0.00806448,
        0.00728238,
        0.00803004,
        0.00944139,
        0.00916715,
        0.00780401,
        0.00801151,
        0.00924631,
        0.00866429,
        0.0102714,
        0.00885276,
        0.0115444,
        0.0103247,
        0.012012,
        0.0153515,
        0.0154776,
        0.0142927,
        0.0134169,
        0.0117205,
        0.0102045,
        0.00968726,
        0.0109192,
        0.0112319,
        0.00893569,
        0.0111135,
        0.0112104,
        0.0129783,
        0.0108698,
        0.00903757,
        0.0105577,
        0.0117601,
        0.0103625,
        0.00973639,
        0.0103401,
        0.00737529,
        0.00918398,
        0.00808131,
        0.00804702,
        0.00891539,
        0.00868401,
        0.00794663,
        0.00792124,
        0.00830591,
        0.00822236,
        0.00785334,
        0.00778916,
        0.0076285,
        0.00827336,
        0.00864626,
        0.00901357,
        0.00798166,
        0.00743992,
        0.0080812,
        0.009224,
        0.00960853,
        0.00884928,
        0.00793212,
        0.00798654,
        0.00858404,
        0.0082905,
        0.00849176,
        0.00819458,
        0.00895871,
        0.0081143,
        0.00849665,
        0.00785738,
        0.00781375,
        0.00923114,
        0.00990853,
        0.00924298,
        0.00856605,
        0.00760011,
        0.00866228,
        0.00727491,
        0.00688174,
        0.00831414,
        0.00806441,
        0.00862527,
        0.00760912,
        0.0071124,
        0.00740491,
        0.00818628,
        0.00860829,
        0.00809647,
        0.00824987,
        0.00818937,
        0.00840639,
        0.00826108,
        0.0096167,
        0.00792981,
        0.00754922,
        0.00801116,
        0.00836387,
        0.00763829,
        0.00743564,
        0.008383,
        0.00845462,
        0.00786082,
        0.00926614,
        0.0103312,
        0.00875323,
        0.00831828,
        0.00810598,
        0.0084376,
        0.00881142,
        0.00797008,
        0.00710441,
        0.00695155,
        0.0074788,
        0.00808102,
        0.00773446,
        0.00755907,
        0.00829234,
        0.00820644,
        0.00915289,
        0.00949669,
        0.00944428,
        0.00873886,
        0.00850723,
        0.00823368,
        0.00825438,
        0.00854722,
        0.00760937,
        0.00854983,
        0.0086519,
        0.00881864,
        0.00951422,
        0.0087872,
        0.00878632,
        0.00818905,
        0.00956867,
        0.00986997,
        0.00849242,
        0.00828577,
        0.00847462,
        0.00790828,
        0.00729196,
        0.00761884,
        0.00922839,
        0.00804366,
        0.00780534,
        0.00771783,
        0.00732708,
        0.00745235,
        0.00692113,
        0.0069838,
        0.00730092,
        0.00753203,
        0.00791992,
        0.00793899,
        0.00845845,
        0.00721969,
        0.00769731,
        0.00761769,
        0.00804194,
        0.00741209,
        0.00681018,
        0.0079164,
        0.00865182,
        0.00843563,
        0.00772501,
        0.00758253,
        0.00783659,
        0.00733742,
        0.00740751,
        0.00808541,
        0.00762219,
        0.00735096,
        0.00779352,
        0.00853398,
        0.00853182,
        0.00792928,
        0.00731328,
        0.00841678,
        0.0084886,
        0.00839586,
        0.0075336,
        0.00765054,
        0.00906338,
        0.00826984,
        0.00796315,
        0.00849842,
        0.00825692,
        0.00905673,
        0.0089386,
        0.00916187,
        0.0093601,
        0.0100656,
        0.00941032,
        0.0110452,
        0.0119381,
        0.0129517,
        0.0134495,
        0.012896,
        0.0125585,
        0.0114483,
        0.00894254,
        0.00923813,
        0.00972775,
        0.00814411,
        0.00817577,
        0.00788033,
        0.00823982,
        0.00856929,
        0.0093276,
        0.00974491,
        0.00970001,
        0.0101421,
        0.00964145,
        0.00954659,
        0.0125641,
        0.0160508,
        0.0193207,
        0.0217916,
        0.0233672,
        0.0320973,
        0.0214091,
        0.0146712,
        0.0130818,
        0.0117441,
        0.00985296,
        0.0115032,
        0.0120401,
        0.0106488,
        0.00947849,
        0.00750109,
        0.0100456,
        0.00958034,
        0.00831209,
        0.00869134,
        0.00830698,
        0.0075565,
        0.00718703,
        0.00795839,
        0.00834086,
        0.00742624,
        0.00675346,
        0.00781643,
        0.00816937,
        0.00879748,
        0.00834438,
        0.00681554,
        0.00775613,
        0.00755636,
        0.0090037,
        0.00816851,
        0.0077828,
        0.00822597,
        0.00838605,
        0.00830106,
        0.00776912,
        0.0073779,
        0.0084827,
        0.00895437,
        0.00803853,
        0.00720693,
        0.007676,
        0.00716324,
        0.00768116,
        0.00897099,
        0.00847413,
        0.00751617,
        0.00808103,
        0.00896071,
        0.00870173,
        0.00710385,
        0.00731699,
        0.00817433,
        0.00723689,
        0.00764676,
        0.00849671,
        0.00727068,
        0.00736171,
        0.00821831,
        0.00850673,
        0.00864762,
        0.00886238,
        0.00833266,
        0.00771591,
        0.00912162,
        0.00809749,
        0.00801782,
        0.00807678,
        0.00764824,
        0.00751138,
        0.00788293,
        0.00687869,
        0.00749119,
        0.0073246,
        0.0069244,
        0.00831017,
        0.00812752,
        0.00776428,
        0.00743644,
        0.00825844,
        0.00951074,
        0.0105622,
        0.0113079,
        0.0108143,
        0.0102608,
        0.0103139,
        0.00958449,
        0.0084098,
        0.0086075,
        0.00790058,
        0.00827625,
        0.00799544,
        0.0078397,
        0.00730801,
        0.0068401,
        0.00591534,
        0.00708066,
        0.00763716,
        0.00750985,
        0.00668231,
        0.00673202,
        0.00768383,
        0.00822811,
        0.00772005,
        0.00834938,
        0.00908127,
        0.00939139,
        0.00876286,
        0.00758857,
        0.00889522,
        0.00945835,
        0.00940498,
        0.00884017,
        0.00972854,
        0.00791867,
        0.00732418,
        0.00703537,
        0.00747034,
        0.00783326,
        0.00805221,
        0.00831486,
        0.00773343,
        0.00782728,
        0.00820059,
        0.00942676,
        0.00984374,
        0.00837495,
        0.0074038,
        0.00749453,
        0.00689322,
        0.00603005,
        0.00672292,
        0.00870932,
        0.00906489,
        0.00938453,
        0.0113704,
        0.012525,
        0.0122048,
        0.0119949,
        0.00932535,
        0.00926825,
        0.0110869,
        0.0121462,
        0.0139035,
        0.0185971,
        0.0139132,
        0.0104115,
        0.00903473,
        0.00947882,
        0.0103041,
        0.0117719,
        0.0119154,
        0.0107303,
        0.0100573,
        0.00906794,
        0.00811446,
        0.00774402,
        0.00750029,
        0.00858223,
        0.00929698,
        0.00993096,
        0.0105351,
        0.0101988,
        0.00841304,
        0.00850189,
        0.00746794,
        0.00791743,
        0.00783977,
        0.00703292,
        0.00759633,
        0.00811274,
        0.00835905,
        0.00960495,
        0.00984608,
        0.00906145,
        0.00874585,
        0.0094232,
        0.0116086,
        0.0134776,
        0.0105781,
        0.00902488,
        0.00925609,
        0.00779188,
        0.00767859,
        0.00944237,
        0.0125114,
        0.0132697,
        0.0119792,
        0.00959698,
        0.0078133,
        0.00781918,
        0.00746043,
        0.00759879,
        0.00773497,
        0.0078265,
        0.0102633,
        0.0103381,
        0.0106444,
        0.00853919,
        0.00852717,
        0.00943649,
        0.00705952,
        0.00717731,
        0.00577825,
        0.00634765,
        0.00781308,
        0.00765606,
        0.0081167,
        0.00846206,
        0.00844551,
        0.0084658,
        0.00739989,
        0.00711962,
        0.00782147,
        0.00772652,
        0.00695587,
        0.0078093,
        0.00754765,
        0.00784268,
        0.00873701,
        0.0090081,
        0.00923933,
        0.00755161,
        0.00704858,
        0.007279,
        0.00763882,
        0.00763189,
        0.00721852,
        0.00750593,
        0.00790016,
        0.00855724,
        0.0126116,
        0.0121986,
        0.0101645,
        0.00938379,
        0.00976838,
        0.0085715,
        0.00861599,
        0.00676277,
        0.00852212,
        0.00824526,
        0.0111736,
        0.0115156,
        0.00941417,
        0.00772104,
        0.00773619,
        0.00696726,
        0.00590806,
        0.00661377,
        0.00761118,
        0.00771366,
        0.00993236,
        0.0116055,
        0.0122438,
        0.00964473,
        0.00876686,
        0.0083267,
        0.00842831,
        0.00765684,
        0.00887549,
        0.00825462,
        0.00878368,
        0.0076222,
        0.0078131,
        0.00917785,
        0.0106115,
        0.0108529,
        0.00976907,
        0.00982881,
        0.00954838,
        0.0095806,
        0.00999715,
        0.0104347,
        0.0108806,
        0.00968831,
        0.00861928,
        0.00849395,
        0.00927655,
        0.00934121,
        0.00845303,
        0.00979873,
        0.010225,
        0.0101927,
        0.0099258,
        0.0093966,
        0.00860862,
        0.0084324,
        0.00870992,
        0.00838872,
        0.00953042,
        0.0101785,
        0.00973093,
        0.00834618,
        0.00808085,
        0.00700951,
        0.00792724,
        0.0121406,
        0.015087,
        0.0132518,
        0.010378,
        0.00766209,
        0.00821673,
        0.00873265,
        0.00832095,
        0.00880773,
        0.00874186,
        0.00815301,
        0.00917764,
        0.00996146,
        0.0108989,
        0.0114249,
        0.0110316,
        0.00804581,
        0.00965128,
        0.0137112,
        0.0124018,
        0.0156325,
        0.0115737,
        0.0128456,
        0.00936483,
        0.00957323,
        0.00870837,
        0.00768095,
        0.00991687,
        0.00785277,
        0.007041,
        0.00877702,
        0.00868276,
        0.0109128,
        0.0114413,
        0.0111395,
        0.00904044,
        0.00712945,
        0.00626687,
        0.00636674,
        0.00662871,
        0.00763086,
        0.00690239,
        0.00524731,
        0.00645387,
        0.00758555,
        0.00659807,
        0.00614004,
        0.00692086,
        0.0068395,
        0.01125,
        0.0100945,
        0.00796585,
        0.00757212,
        0.00884899,
        0.00834516,
        0.0075711,
        0.00849394,
        0.00759782,
        0.00732083,
        0.00722616,
        0.00668576,
        0.0071308,
        0.00690959,
        0.00592536,
        0.00762362,
        0.00992125,
        0.00993836,
        0.00890626,
        0.00620988,
        0.00663218,
        0.00906115,
        0.0086343,
        0.00978571,
        0.00759123,
        0.00845372,
        0.00758084,
        0.00923415,
        0.00817158,
        0.00590841,
        0.00567409,
        0.00660983,
        0.00750262,
        0.00884035,
        0.00970689,
        0.00863643,
        0.0085955,
        0.0107185,
        0.00828311,
        0.00670969,
        0.00789348,
        0.00871441,
        0.00834099,
        0.00681865,
        0.00667793,
        0.00709328,
        0.00733975,
        0.00711223,
        0.00833862,
        0.00765266,
        0.00754832,
        0.00779236,
        0.0074133,
        0.00825934,
        0.00776208,
        0.00690885,
        0.00788659,
        0.0078716,
        0.00883954,
        0.0102421,
        0.00887845,
        0.00799389,
        0.00866624,
        0.00982908,
        0.00940483,
        0.00929603,
        0.00863285,
        0.007599,
        0.00780315,
        0.00886373,
        0.00695551,
        0.0135489,
        0.0101087,
        0.0104967,
        0.0122834,
        0.0100534,
        0.00947346,
        0.0119263,
        0.0122587,
        0.0146315,
        0.0178566,
        0.0167852,
        0.0156605,
        0.0175644,
        0.0176463,
        0.0174357,
        0.0188906,
        0.0185227,
        0.0185648,
        0.0187153,
        0.0181194,
        0.0222858,
        0.0291424,
        0.0252789,
        0.021714,
        0.018043,
        0.0145538,
        0.0156922,
        0.0152117,
        0.0128563,
        0.0135552,
        0.011921,
        0.0114268,
        0.0109564,
        0.0102254,
        0.00967921,
        0.00698412,
        0.00960967,
        0.0107716,
        0.00979356,
        0.00843826,
        0.00819747,
        0.011907,
        0.0127828,
        0.020085,
        0.0205556,
        0.0141729,
        0.0108596,
        0.0102093,
        0.0112551,
        0.0126252,
        0.0122522,
        0.0113793,
        0.0119288,
        0.0123377,
        0.0101105,
        0.00901296,
        0.00789493,
        0.00842067,
        0.00931782,
        0.0123003,
        0.0103292,
        0.00721713,
        0.00907976,
        0.00669629,
        0.00806867,
        0.00863726,
        0.00829033,
        0.00794394,
        0.00716615,
        0.00609253,
        0.00760117,
        0.0094206,
        0.0101605,
        0.0115221,
        0.0116588,
        0.0105217,
        0.0103049,
        0.00848182,
        0.00784736,
        0.00784298,
        0.0093449,
        0.00872215,
        0.0090049,
        0.00899999,
        0.00715418,
        0.0079151,
        0.00604734,
        0.00682529,
        0.00660423,
        0.00789545,
        0.00803084,
        0.00860061,
        0.00949733,
        0.00904015,
        0.00853348,
        0.00785298,
        0.00793804,
        0.00888337,
        0.00941786,
        0.00968664,
        0.00887323,
        0.0105907,
        0.00826996,
        0.00931551,
        0.00779519,
        0.0078004,
        0.0112174,
        0.00994215,
        0.00974855,
        0.00931307,
        0.00808939,
        0.00954605,
        0.0118981,
        0.012364,
        0.0132908,
        0.0142886,
        0.0114839,
        0.00836954,
        0.00978123,
        0.0107366,
        0.00902797,
        0.00804245,
        0.0111721,
        0.00860186,
        0.0105828,
        0.0109614,
        0.00875984,
        0.0124325,
        0.0169016,
        0.0143093,
        0.0173212,
        0.0160805,
        0.0179399,
        0.0221423,
        0.0185811,
        0.0173398,
        0.0163584,
        0.0148277,
        0.0132036,
        0.0123708,
        0.012231,
        0.0114812,
        0.0109154,
        0.0104802,
        0.0102938,
        0.0102319,
        0.00913269,
        0.00877906,
        0.00857935,
        0.00805593,
        0.0073917,
        0.00887647,
        0.00955174,
        0.00795398,
        0.00944332,
        0.00804622,
        0.00832855,
        0.00836789,
        0.00686613,
        0.00644993,
        0.00767936,
        0.00818521,
        0.00791775,
        0.00726805,
        0.006803,
        0.0068155,
        0.00745468,
        0.00997387,
        0.011302,
        0.0107572,
        0.00830619,
        0.0077614,
        0.00810918,
        0.00938116,
        0.00718245,
        0.00970969,
        0.0116208,
        0.0091127,
        0.00883172,
        0.00744999,
        0.00742355,
        0.00684527,
        0.00666025,
        0.00755967,
        0.00753391,
        0.00811954,
        0.00825177,
        0.00795572,
        0.00773926,
        0.00878299,
        0.00893116,
        0.00895775,
        0.00796368,
        0.00691686,
        0.00803062,
        0.00876744,
        0.00904298,
        0.00968339,
        0.0089628,
        0.00802081,
        0.0076028,
        0.00825768,
        0.00990127,
        0.0101594,
        0.0111936,
        0.00942915,
        0.00789342,
        0.00796251,
        0.00796341,
        0.00765568,
        0.00848279,
        0.00757178,
        0.00780669,
        0.0074337,
        0.00668947,
        0.00815409,
        0.00900442,
        0.00775527,
        0.0074851,
        0.00728226,
        0.00864075,
        0.0105318,
        0.00985255,
        0.0115398,
        0.0163489,
        0.0169245,
        0.0154027,
        0.0129983,
        0.0108913,
        0.00930583,
        0.00810161,
        0.00748489,
        0.00728161,
        0.00790002,
        0.00651066,
        0.0066302,
        0.00803846,
        0.00793169,
        0.00744147,
        0.00654756,
        0.00704595,
        0.00716348,
        0.00611985,
        0.00659009,
        0.00750216,
        0.00802744,
        0.00963864,
        0.0125327,
        0.0169863,
        0.0151008,
        0.0127491,
        0.0115652,
        0.00956639,
        0.00773398,
        0.00669897,
        0.00731982,
        0.00735337,
        0.00836265,
        0.00825247,
        0.00732657,
        0.00727369,
        0.00674663,
        0.00704619,
        0.00719486,
        0.00660554,
        0.00671907,
        0.00687726,
        0.00649077,
        0.00713853,
        0.0065097,
        0.00693046,
        0.00746371,
        0.00975726,
        0.00962393,
        0.00788458,
        0.00845867,
        0.00785841,
        0.00857853,
        0.00880595,
        0.0075987,
        0.00672001,
        0.00698107,
        0.00676643,
        0.00514918,
        0.00742043,
        0.00716266,
        0.00679295,
        0.00618166,
        0.00710859,
        0.00772714,
        0.00692763,
        0.00722277,
        0.00783347,
        0.00740457,
        0.00772888,
        0.00711231,
        0.00785722,
        0.00698216,
        0.00762825,
        0.00732379,
        0.00658973,
        0.00700508,
        0.00742307,
        0.00642483,
        0.00627048,
        0.00789995,
        0.00919591,
        0.00884655,
        0.00929135,
        0.00787801,
        0.00764538,
        0.00725034,
        0.00688869,
        0.00693964,
        0.00681411,
        0.00766987,
        0.00729173,
        0.00870926,
        0.0131048,
        0.0103586,
        0.00925296,
        0.00809936,
        0.00791604,
        0.007923,
        0.00788627,
        0.00779472,
        0.00750545,
        0.00647915,
        0.00634134,
        0.00645162,
        0.00722623,
        0.0083512,
        0.00698941,
        0.0067835,
        0.00741181,
        0.00728378,
        0.00776586,
        0.00899127,
        0.00709697,
        0.00691129,
        0.00621883,
        0.00733544,
        0.00687961,
        0.00635933,
        0.00721056,
        0.00693408,
        0.00711749,
        0.00733022,
        0.0077425,
        0.00780217,
        0.00856765,
        0.0100905,
        0.0128198,
        0.012617,
        0.0097309,
        0.0082603,
        0.00707881,
        0.00693994,
        0.0074777,
        0.00665635,
        0.00687361,
        0.00567271,
        0.0057609,
        0.00669709,
        0.00729019,
        0.00654821,
        0.00649859,
        0.00654468,
        0.00706997,
        0.00814588,
        0.00751284,
        0.00792533,
        0.0091516,
        0.00865726,
        0.00720448,
        0.00758909,
        0.0100726,
        0.0102561,
        0.0117542,
        0.0104576,
        0.00924207,
        0.00771928,
        0.00719196,
        0.00707534,
        0.00729459,
        0.00676025,
        0.00674012,
        0.00670667,
        0.00740365,
        0.0068053,
        0.00667185,
        0.00657398,
        0.00639,
        0.00682011,
        0.00731426,
        0.007125,
        0.0070228,
        0.00846083,
        0.00792359,
        0.00809269,
        0.00775879,
        0.00920704,
        0.00963847,
        0.00964433,
        0.00932752,
        0.00816906,
        0.00966793,
        0.00896795,
        0.00831632,
        0.00748618,
        0.00698618,
        0.00687626,
        0.00737708,
        0.00832308,
        0.00831884,
        0.00740448,
        0.00716909,
        0.00646596,
        0.00689978,
        0.00646218,
        0.00577678,
        0.00704596,
        0.00726591,
        0.00756829,
        0.00633695,
        0.00609511,
        0.00622307,
        0.00722232,
        0.00676803,
        0.0078554,
        0.00738302,
        0.00726618,
        0.00789045,
        0.0091439,
        0.00976694,
        0.0113585,
        0.0113673,
        0.009238,
        0.00806775,
        0.00800692,
        0.00738533,
        0.0079578,
        0.00760724,
        0.0069023,
        0.00726737,
        0.00896034,
        0.00836338,
        0.00684642,
        0.00713188,
        0.00764192,
        0.0068916,
        0.00828602,
        0.00783863,
        0.0067305,
        0.00712369,
        0.00718663,
        0.00692165,
        0.00688778,
        0.00740729,
        0.00862097,
        0.00860874,
        0.00837397,
        0.00865452,
        0.00984611,
        0.0145538,
        0.0186132,
        0.0164478,
        0.0135186,
        0.010144,
        0.00859166,
        0.00791189,
        0.00892646,
        0.00744819,
        0.0111822,
        0.011538,
        0.0100524,
        0.0111688,
        0.0145422,
        0.014835,
        0.0197555,
        0.0268811,
        0.0214485,
        0.0177087,
        0.01535,
        0.0118335,
        0.00906017,
        0.0103118,
        0.0113676,
        0.008992,
        0.00855717,
        0.00786457,
        0.00841904,
        0.00787097,
        0.00715482,
        0.00651799,
        0.00671796,
        0.00698744,
        0.00616835,
        0.00652148,
        0.00657936,
        0.00650638,
        0.0065012,
        0.00715706,
        0.00704648,
        0.00667146,
        0.00782152,
        0.00835032,
        0.00873069,
        0.00855702,
        0.00697467,
        0.00703549,
        0.00907146,
        0.00973955,
        0.0100392,
        0.00925278,
        0.00793738,
        0.00642638,
        0.00564548,
        0.00811726,
        0.00787572,
        0.00870711,
        0.012398,
        0.0107412,
        0.00988066,
        0.00896255,
        0.00827919,
        0.00795703,
        0.00777895,
        0.00816877,
        0.00816796,
        0.00763976,
        0.00781537,
        0.00917727,
        0.010179,
        0.00759778,
        0.00713405,
        0.00769658,
        0.00901956,
        0.00973704,
        0.00710235,
        0.00735364,
        0.00642771,
        0.00728133,
        0.00714388,
        0.00821452,
        0.00725104,
        0.00642827,
        0.0066041,
        0.00743227,
        0.00757155,
        0.00698704,
        0.00650986,
        0.00597108,
        0.00558864,
        0.00580293,
        0.00641042,
        0.00705752,
        0.00791206,
        0.0107032,
        0.0136499,
        0.0105894,
        0.0106869,
        0.00962055,
        0.00819762,
        0.0084154,
        0.0071807,
        0.0104472,
        0.00756828,
        0.0076699,
        0.00843028,
        0.00779973,
        0.00978831,
        0.00683099,
        0.00671953,
        0.00665266,
        0.00566068,
        0.00492875,
        0.00550627,
        0.00650731,
        0.00661382,
        0.00719514,
        0.00700893,
        0.00538373,
        0.00566524,
        0.00661984,
        0.00669238,
        0.00693344,
        0.00948159,
        0.0097735,
        0.00668404,
        0.0063774,
        0.00760847,
        0.00738499,
        0.00568542,
        0.00665167,
        0.00505971,
        0.00603018,
        0.0073259,
        0.00652941,
        0.00635016,
        0.00615614,
        0.00629997,
        0.00562085,
        0.00536557,
        0.0055581,
        0.00582472,
        0.00571814,
        0.00558123,
        0.00648309,
        0.00718013,
        0.00593083,
        0.00488746,
        0.00526632,
        0.00555492,
        0.00738254,
        0.00760181,
        0.00683105,
        0.00742985,
        0.00686055,
        0.00605071,
        0.00804762,
        0.00930676,
        0.0109258,
        0.01085,
        0.00767094,
        0.00773352,
        0.0066508,
        0.00689316,
        0.00623426,
        0.00621469,
        0.00634402,
        0.00646482,
        0.00671412,
        0.00726509,
        0.00655347,
        0.00643825,
        0.0081786,
        0.00892838,
        0.00796237,
        0.00715489,
        0.0079183,
        0.0100833,
        0.0124328,
        0.0109291,
        0.0111613,
        0.00717205,
        0.0059602,
        0.00664182,
        0.00535499,
        0.00836067,
        0.00912433,
        0.00588933,
        0.00649421,
        0.00644128,
        0.00761553,
        0.00782107,
        0.00705641,
        0.00629932,
        0.00913188,
        0.0139347,
        0.0108412,
        0.00972512,
        0.00918268,
        0.0073266,
        0.00644067,
        0.00623604,
        0.00671923,
        0.00589497,
        0.00673325,
        0.00814052,
        0.00737958,
        0.0105231,
        0.0176609,
        0.0145432,
        0.00942162,
        0.00848841,
        0.00714162,
        0.00668583,
        0.00627893,
        0.00635987,
        0.00658771,
        0.0068362,
        0.00674604,
        0.00694657,
        0.00658832,
        0.00616515,
        0.00613644,
        0.00588108,
        0.00664337,
        0.00838805,
        0.0110347,
        0.0128588,
        0.00987821,
        0.00851202,
        0.00825697,
        0.00691955,
        0.00646516,
        0.00713414,
        0.00812083,
        0.00661224,
        0.00644998,
        0.00797219,
        0.00718516,
        0.00709487,
        0.00751634,
        0.00582274,
        0.0069976,
        0.00621364,
        0.0060223,
        0.00551368,
        0.00535608,
        0.00560839,
        0.00646324,
        0.00663178,
        0.00773911,
        0.00800019,
        0.00679332,
        0.00617915,
        0.00553904,
        0.00575064,
        0.00689698,
        0.00763449,
        0.00648962,
        0.00522957,
        0.00598396,
        0.00720611,
        0.0110428,
        0.00931731,
        0.00794954,
        0.00696029,
        0.00916748,
        0.0118382,
        0.0108655,
        0.0084659,
        0.00880234,
        0.00701087,
        0.00768937,
        0.00766687,
        0.00779802,
        0.00800034,
        0.00784256,
        0.0074231,
        0.00658863,
        0.00710747,
        0.00811581,
        0.00819657,
        0.00651188,
        0.00564516,
        0.00692819,
        0.00780403,
        0.00763434,
        0.00750667,
        0.0075632,
        0.00691619,
        0.00612974,
        0.00691502,
        0.0057555,
        0.00660931,
        0.00681428,
        0.00718146,
        0.00667111,
        0.00712081,
        0.00705347,
        0.00612509,
        0.00733464,
        0.00660744,
        0.00648582,
        0.00926666,
        0.00858185,
        0.00913177,
        0.00953204,
        0.010726,
        0.0102807,
        0.0108491,
        0.011029,
        0.0153025,
        0.0133378,
        0.0107243,
        0.0107817,
        0.00911037,
        0.00762801,
        0.00816574,
        0.0107061,
        0.0127744,
        0.0131182,
        0.0157135,
        0.0176007,
        0.0171555,
        0.0219602,
        0.0252411,
        0.0349944,
        0.0295406,
        0.0215709,
        0.0159736,
        0.0157554,
        0.0141509,
        0.0126533,
        0.0125035,
        0.00808701,
        0.0113985,
        0.0143206,
        0.0148557,
        0.00971187,
        0.0074535,
        0.00679772,
        0.00849561,
        0.00782895,
        0.00779365,
        0.00800662,
        0.0065636,
        0.0066878,
        0.00780185,
        0.00706487,
        0.00574401,
        0.00581227,
        0.00615258,
        0.00572133,
        0.00605589,
        0.00665745,
        0.00596755,
        0.0056235,
        0.00778085,
        0.00653026,
        0.00799374,
        0.00630499,
        0.00650087,
        0.00661029,
        0.00486988,
        0.00573226,
        0.00622486,
        0.0060243,
        0.00647157,
        0.00681683,
        0.00686948,
        0.00615002,
        0.00892333,
        0.0087685,
        0.00619556,
        0.00676623,
        0.00561234,
        0.00542729,
        0.00635071,
        0.00749981,
        0.00681178,
        0.00630305,
        0.00607417,
        0.00694063,
        0.00835131,
        0.00767771,
        0.00588246,
        0.00609225,
        0.00903282,
        0.0110196,
        0.0115707,
        0.010433,
        0.00737997,
        0.00765312,
        0.00745752,
        0.00662013,
        0.00697158,
        0.00694116,
        0.00753919,
        0.00584462,
        0.00646333,
        0.00622579,
        0.0063757,
        0.00555235,
        0.00671798,
        0.00527748,
        0.00730216,
        0.00802672,
        0.00816955,
        0.00630897,
        0.00610508,
        0.00552618,
        0.0071276,
        0.00742656,
        0.00801181,
        0.00824609,
        0.00874024,
        0.00990185,
        0.0097883,
        0.00847016,
        0.007692,
        0.00747253,
        0.00730037,
        0.00715849,
        0.00782122,
        0.0086898,
        0.00803852,
        0.00782863,
        0.00804408,
        0.00724623,
        0.00731337,
        0.00786289,
        0.00787846,
        0.00829508,
        0.00790614,
        0.0119759,
        0.0151592,
        0.0173238,
        0.0134502,
        0.0149972,
        0.011635,
        0.00981623,
        0.00841943,
        0.00766782,
        0.00684135,
        0.00713328,
        0.00697059,
        0.00866658,
        0.00872468,
        0.00792795,
        0.00881652,
        0.00971464,
        0.00963535,
        0.0131729,
        0.0119355,
        0.00962142,
        0.00818461,
        0.00717524,
        0.00723092,
        0.00769219,
        0.00845265,
        0.00822672,
        0.00763412,
        0.0079181,
        0.00904063,
        0.00949233,
        0.00808274,
        0.00848302,
        0.0070201,
        0.00762851,
        0.0105862,
        0.0110102,
        0.012164,
        0.0146643,
        0.0150803,
        0.016706,
        0.0187899,
        0.0214533,
        0.0230253,
        0.0222544,
        0.0221362,
        0.0156655,
        0.0213908,
        0.0194411,
        0.0164964,
        0.00993238,
        0.00868515,
        0.0078297,
        0.00699299,
        0.00755382,
        0.007935,
        0.00745846,
        0.00762799,
        0.00779306,
        0.00889565,
        0.00912749,
        0.00728277,
        0.00593426,
        0.00647289,
        0.00710573,
        0.00669657,
        0.00699102,
        0.00594416,
        0.0055562,
        0.00774962,
        0.00731979,
        0.00637171,
        0.00641713,
        0.00618486,
        0.00651494,
        0.00715417,
        0.00605567,
        0.00644858,
        0.00681398,
        0.00688008,
        0.00696727,
        0.00699848,
        0.00743036,
        0.00613137,
        0.00720548,
        0.0074364,
        0.00700115,
        0.00714051,
        0.00730067,
        0.00986754,
        0.0108952,
        0.00909062,
        0.00916211,
        0.00733208,
        0.00826318,
        0.00944916,
        0.0146119,
        0.01492,
        0.0114615,
        0.00893616,
        0.007221,
        0.00704294,
        0.00611085,
        0.00562322,
        0.00724153,
        0.00783278,
        0.00804526,
        0.00790249,
        0.00642503,
        0.00583234,
        0.00647756,
        0.00702213,
        0.00652915,
        0.00679369,
        0.00698728,
        0.00752713,
        0.00660723,
        0.00683617,
        0.00802341,
        0.00693578,
        0.00653371,
        0.00605172,
        0.00569851,
        0.00451176,
        0.00718048,
        0.00798102,
        0.0071684,
        0.0074156,
        0.00711619,
        0.00708639,
        0.00648772,
        0.00589356,
        0.00584375,
        0.00731568,
        0.00801961,
        0.00842074,
        0.00830199,
        0.00769534,
        0.00671992,
        0.00733863,
        0.00769508,
        0.00801119,
        0.00724858,
        0.00697207,
        0.00749726,
        0.00688686,
        0.00698811,
        0.00725871,
        0.00688592,
        0.00679784,
        0.00717666,
        0.00887895,
        0.00963076,
        0.0073842,
        0.00628923,
        0.00660901,
        0.00632894,
        0.00663041,
        0.0065427,
        0.00683716,
        0.00617539,
        0.00767771,
        0.0065838,
        0.00876089,
        0.0133066,
        0.0114533,
        0.0068575,
        0.00740151,
        0.00755958,
        0.00499264,
        0.00712024,
        0.00694283,
        0.00713869,
        0.00700045,
        0.00716205,
        0.00779391,
        0.00763819,
        0.00657384,
        0.00663362,
        0.00937896,
        0.0104093,
        0.0103043,
        0.0100868,
        0.00899517,
        0.00865542,
        0.00801773,
        0.00776276,
        0.00793354,
        0.0066903,
        0.0056898,
        0.00574614,
        0.00695701,
        0.00703563,
        0.00761782,
        0.00814017,
        0.00780705,
        0.00789796,
        0.00860664,
        0.00975652,
        0.00997773,
        0.0126034,
        0.0165821,
        0.0218932,
        0.0303155,
        0.0396069,
        0.0167028,
        0.0168341,
        0.0117155,
        0.011639,
        0.0113305,
        0.010263,
        0.0101928,
        0.0100405,
        0.0160321,
        0.0147348,
        0.0112516,
        0.00775795,
        0.0072028,
        0.00726344,
        0.00817668,
        0.00834607,
        0.00840659,
        0.00551248,
        0.00637959,
        0.00815829,
        0.00819558,
        0.010493,
        0.0105215,
        0.0088266,
        0.00782325,
        0.00718184,
        0.00730994,
        0.00726692,
        0.0067787,
        null,
        0.00796868,
        0.00737783,
        0.00678699,
        0.00695149,
        0.00866737,
        0.00621461,
        0.00673302,
        0.00642993,
        0.00984359,
        0.00924899,
        0.00787025,
        0.00703787,
        0.00693396,
        0.00726011,
        0.00678194,
        0.00691366,
        0.00657414,
        0.00675049,
        0.00892091,
        0.0094955,
        0.0091519,
        0.0106464,
        0.0107328,
        0.00958862,
        0.0090585,
        0.00699338,
        0.00646485,
        0.00721726,
        0.00973227,
        0.0124552,
        0.0104834,
        0.00974119,
        0.00880032,
        0.0080426,
        0.00776682,
        0.00718435,
        0.0069875,
        0.00662455,
        0.00676632,
        0.00666494,
        0.00711836,
        0.00655778,
        0.00630259,
        0.00675964,
        0.00753806,
        0.00703913,
        0.00605037,
        0.0076843,
        0.00774266,
        0.00671857,
        0.00954101,
        0.00804826,
        0.00851585,
        0.00751753,
        0.00708111,
        0.0080369,
        0.00893461,
        0.0091087,
        0.0091758,
        0.00863477,
        0.00789703,
        0.0108868,
        0.0155458,
        0.0145493,
        0.00989226,
        0.0063013,
        0.0062448,
        0.00748212,
        0.00684058,
        0.00548395,
        0.00694203,
        0.00774926,
        0.00711894,
        0.00815141,
        0.00803932,
        0.00916426,
        0.00887716,
        0.00751594,
        0.0064549,
        0.00577108,
        0.00569978,
        0.00563308,
        0.00697291,
        0.00778706,
        0.00719543,
        0.00616659,
        0.00650215,
        0.0067769,
        0.00822284,
        0.00929253,
        0.00899469,
        0.0103248,
        0.00963892,
        0.00651985,
        0.005959,
        0.00947267,
        0.00903933,
        0.00939141,
        0.0100792,
        0.00930005,
        0.00723681,
        0.00651674,
        0.00807451,
        0.00825356,
        0.0115206,
        0.0108984,
        0.0118466,
        0.00832409,
        0.00685828,
        0.00743151,
        0.00726968,
        0.00679924,
        0.00697794,
        0.00636777,
        0.00549985,
        0.00644316,
        0.00641104,
        0.00646491,
        0.00713271,
        0.00936713,
        0.00889009,
        0.0072097,
        0.00708789,
        0.00769157,
        0.00717221,
        0.00672809,
        0.00665819,
        0.00746138,
        0.00611203,
        0.0067674,
        0.00689447,
        0.00676397,
        0.00679467,
        0.00760904,
        0.00773204,
        0.00667244,
        0.00733023,
        0.00830974,
        0.0124171,
        0.0115973,
        0.0102617,
        0.0102628,
        0.0103272,
        0.00894153,
        0.00716794,
        0.00601334,
        0.00622919,
        0.00789294,
        0.00736547,
        0.00596127,
        0.00715358,
        0.00695888,
        0.00641974,
        0.00769367,
        0.00712398,
        0.0065325,
        0.0067807,
        0.00710575,
        0.00772979,
        0.00789994,
        0.00634072,
        0.00703694,
        0.00617011,
        0.00722393,
        0.00674062,
        0.00705116,
        0.00744671,
        0.00849397,
        0.0107227,
        0.0120747,
        0.0103362,
        0.00787236,
        0.00947501,
        0.0067538,
        0.0078268,
        0.00637624,
        0.00717942,
        0.00825769,
        0.00740581,
        0.00720568,
        0.00953782,
        0.0122733,
        0.014387,
        0.0119831,
        0.00836118,
        0.00845559,
        0.00840204,
        0.0093773,
        0.0102621,
        0.00900735,
        0.00759243,
        0.00732607,
        0.00764456,
        0.00932189,
        0.00904583,
        0.0110179,
        0.00723366,
        0.00777282,
        0.00831727,
        0.00742564,
        0.00697421,
        0.00722167,
        0.00820569,
        0.00988842,
        0.0101752,
        0.00771772,
        0.00968099,
        0.00923035,
        0.00855478,
        0.00953524,
        0.0106913,
        0.0104443,
        0.0111451,
        0.0154604,
        0.0205896,
        0.0223298,
        0.0154982,
        0.0126637,
        0.0136887,
        0.0111289,
        0.011728,
        0.00923095,
        0.00818357,
        0.0102079,
        0.00821781,
        0.00761478,
        0.00802296,
        0.00953434,
        0.00992245,
        0.0086255,
        0.00750474,
        0.00712533,
        0.00681617,
        0.00700668,
        0.00761028,
        0.00632041,
        0.00608775,
        0.00506681,
        0.00709665,
        0.00814804,
        0.00722795,
        0.00682502,
        0.00707205,
        0.00663562,
        0.00626712,
        0.00485456,
        0.00752645,
        0.00669197,
        0.0082268,
        0.00924392,
        0.00883611,
        0.00873634,
        0.0084037,
        0.00764146,
        0.0085724,
        0.0101965,
        0.00837012,
        0.00749917,
        0.00810131,
        0.00770366,
        0.0072678,
        0.00824594,
        0.00705315,
        0.0080142,
        0.0107241,
        0.0129675,
        0.0140541,
        0.00791036,
        0.0106078,
        0.00641217,
        0.00822856,
        0.00809,
        0.00653334,
        0.00590823,
        0.00627105,
        0.00672972,
        0.0073723,
        0.00761058,
        0.00653708,
        0.0063179,
        0.00605615,
        0.00786495,
        0.00753739,
        0.00644301,
        0.00686531,
        0.00669833,
        0.00625626,
        0.0067985,
        0.00749487,
        0.00740469,
        0.00685673,
        0.00493837,
        0.0071604,
        0.00827845,
        0.00677505,
        0.00767737,
        0.00695719,
        0.00612856,
        0.00754277,
        0.00989113,
        0.0108912,
        0.010477,
        0.0103423,
        0.0108088,
        0.00831011,
        0.00794989,
        0.0109318,
        0.00982508,
        0.00954242,
        0.00939685,
        0.00868532,
        0.00736848,
        0.00771622,
        0.0109925,
        0.0124363,
        0.00791465,
        0.0108838,
        0.0109362,
        0.0112171,
        0.00794049,
        0.00922023,
        0.00828516,
        0.00794085,
        0.00860873,
        0.0102094,
        0.0112179,
        0.00846727,
        0.00892672,
        0.00983179,
        0.010956,
        0.00760985,
        0.00894583,
        0.00833919,
        0.010448,
        0.0168975,
        0.0194109,
        0.018694,
        0.0199999,
        0.0178508,
        0.0115687,
        0.0134681,
        0.011111,
        0.0122506,
        0.0113035,
        0.012207,
        0.0131754,
        0.0128708,
        0.0131387,
        0.0137457,
        0.0130545,
        0.012048,
        0.0123127,
        0.0132316,
        0.0140351,
        0.0191808,
        0.0175783,
        0.0163224,
        0.0147673,
        0.0164273,
        0.0218935,
        0.0255182,
        0.0247958,
        0.0233499,
        0.0222462,
        0.0254958,
        0.0257628,
        0.0182724,
        0.0214751,
        0.0146277,
        0.0148526,
        0.0125969,
        0.0120289,
        0.0116149,
        0.0116321,
        0.010808,
        0.00939065,
        0.0066954,
        0.0060057,
        0.00744533,
        0.00693323,
        0.00765821,
        0.00836047,
        0.00677708,
        0.00736062,
        0.00665455,
        0.00854019,
        0.00880442,
        0.0105576,
        0.013714,
        0.0125972,
        0.00781916,
        0.00607953,
        0.00686436,
        0.00642055,
        0.00550648,
        0.00710791,
        0.00654144,
        0.00524731,
        0.00675329,
        0.00807721,
        0.00861486,
        0.00679863,
        0.00591794,
        0.00735926,
        0.00651801,
        0.00569896,
        0.00998341,
        0.0120659,
        0.013972,
        0.0110827,
        0.0129903,
        0.0143908,
        0.0131499,
        0.0100945,
        0.00749805,
        0.0064351,
        0.00592235,
        0.00531999,
        0.00531389,
        0.00637473,
        0.00621397,
        0.00672254,
        0.0060511,
        0.00640696,
        0.0061245,
        0.00644547,
        0.00698433,
        0.00623944,
        0.00552096,
        0.0067506,
        0.00752853,
        0.00782558,
        0.00941513,
        0.0124698,
        0.0114321,
        0.00780919,
        0.00738011,
        0.00723497,
        0.00767166,
        0.0084753,
        0.00896215,
        0.00900078,
        0.00836037,
        0.00768979,
        0.00648301,
        0.00739658,
        0.00686459,
        0.00694283,
        0.00768215,
        0.00790019,
        0.00696517,
        0.00659721,
        0.00605329,
        0.00514189,
        0.00531264,
        0.00595777,
        0.00677146,
        0.00829921,
        0.00614278,
        0.00635855,
        0.0068111,
        0.00615178,
        0.00589668,
        0.00571137,
        0.00687617,
        0.00805994,
        0.00744808,
        0.00682791,
        0.00725256,
        0.00618529,
        0.00761722,
        0.00818186,
        0.00864223,
        0.00751356,
        0.0077384,
        0.00779559,
        0.00713521,
        0.00607182,
        0.00704992,
        0.00865162,
        0.00768987,
        0.00884872,
        0.0110586,
        0.0104512,
        0.0118285,
        0.0090733,
        0.0072992,
        0.00680907,
        0.0074823,
        0.00788759,
        0.00794092,
        0.00737321,
        0.00695636,
        0.0089635,
        0.0122803,
        0.012848,
        0.0113525,
        0.0074606,
        0.00763225,
        0.0073915,
        0.00746439,
        0.0062748,
        0.00609588,
        0.00669998,
        0.00631375,
        0.00597333,
        0.00742529,
        0.00832471,
        0.00728805,
        0.00850142,
        0.00621836,
        0.0069161,
        0.00726972,
        0.00677277,
        0.00646728,
        0.00689414,
        0.00689718,
        0.00727907,
        0.00833502,
        0.00763043,
        0.00640853,
        0.00685577,
        0.00836251,
        0.00575978,
        0.00639844,
        0.00701628,
        0.00868568,
        0.0131296,
        0.0127879,
        0.0112075,
        0.00956058,
        0.00822039,
        0.00887842,
        0.00787947,
        0.00759484,
        0.00783313,
        0.00793994,
        0.0078376,
        0.00844056,
        0.0109952,
        0.0102375,
        0.0121152,
        0.0141474,
        0.00996684,
        0.0120293,
        0.00904726,
        0.0081663,
        0.00882566,
        0.00825864,
        0.00852105,
        0.00963486,
        0.00883551,
        0.00805518,
        0.00902897,
        0.00901911,
        0.00810023,
        0.00769937,
        0.0115078,
        0.0115599,
        0.0102514,
        0.0107553,
        0.0100602,
        0.0073123,
        0.0058417,
        0.0066853,
        0.00693857,
        0.00644035,
        0.00621594,
        0.00830863,
        0.00821902,
        0.00654046,
        0.00728444,
        0.00852631,
        0.00678985,
        0.00716151,
        0.00714699,
        0.00656315,
        0.0071322,
        0.00739971,
        0.00815727,
        0.00735879,
        0.00575532,
        0.00531771,
        0.00721811,
        0.00778228,
        0.00544898,
        0.00629464,
        0.00794604,
        0.00935874,
        0.00962934,
        0.00865531,
        0.00745145,
        0.0062754,
        0.00626425,
        0.00796432,
        0.00518878,
        0.00674841,
        0.0070643,
        0.00635779,
        0.00562583,
        0.00578975,
        0.00643211,
        0.00774947,
        0.00798174,
        0.00756203,
        0.00877548,
        0.00902749,
        0.008278,
        0.0068511,
        0.00652815,
        0.00703358,
        0.00774857,
        0.00697658,
        0.00799232,
        0.00737068,
        0.00665929,
        0.00691223,
        0.00689859,
        0.00678944,
        0.00720693,
        0.00645797,
        0.00636125,
        0.00685598,
        0.00673514,
        0.00686923,
        0.00781243,
        0.00854311,
        0.00847018,
        0.00817059,
        0.00735084,
        0.00670197,
        0.00715129,
        0.00847104,
        0.00937388,
        0.00871948,
        0.0118456,
        0.00814511,
        0.00691479,
        0.00767597,
        0.00708906,
        0.00652712,
        0.00779329,
        0.00854462,
        0.00677907,
        0.00592333,
        0.00716643,
        0.00790718,
        0.00975255,
        0.010368,
        0.00950414,
        0.0100783,
        0.00798035,
        0.00628802,
        0.00793609,
        0.00928097,
        0.00937151,
        0.00878831,
        0.007984,
        0.00758938,
        0.00792263,
        0.00947227,
        0.0133082,
        0.0168613,
        0.018648,
        0.0124104,
        0.0114812,
        0.00968886,
        0.0110032,
        0.0106225,
        0.0125318,
        0.0169275,
        0.0192137,
        0.0213916,
        0.0164326,
        0.0130204,
        0.0109782,
        0.00930872,
        0.00938497,
        0.00971096,
        0.00913917,
        0.00899014,
        0.010499,
        0.0132794,
        0.0144703,
        0.00902985,
        0.0114319,
        0.00833492,
        0.00874049,
        0.00680857,
        0.00920774,
        0.0108778,
        0.00972719,
        0.0102157,
        0.010234,
        0.00886933,
        0.0107775,
        0.0112648,
        0.0101187,
        0.0103079,
        0.0102188,
        0.0109584,
        0.0116604,
        0.0108044,
        0.00966956,
        0.0135787,
        0.0142838,
        0.0150561,
        0.0182611,
        0.0207134,
        0.0218054,
        0.020828,
        0.0207541,
        null,
        0.0324769,
        0.0247087,
        0.0228802,
        0.0180966,
        0.0138712,
        0.0134222,
        0.0130131,
        0.01118,
        0.0109024,
        0.0127517,
        0.0139228,
        0.0103507,
        0.0111753,
        0.0131857,
        0.0131715,
        0.0139885,
        0.0113599,
        0.0139256,
        0.01626,
        0.0189969,
        0.0266496,
        0.0268621,
        0.0204527,
        0.0253499,
        0.0252952,
        0.0214869,
        0.0183588,
        0.0166623,
        0.0188297,
        0.0157421,
        0.0142787,
        0.017157,
        0.0176497,
        0.0156581,
        0.0135694,
        0.0134417,
        0.0115126,
        0.00762532,
        0.00905854,
        0.00882683,
        0.00822194,
        0.00810535,
        0.00788894,
        0.00913462,
        0.00877306,
        0.0072527,
        0.00706946,
        0.00677068,
        0.00740558,
        0.00848201,
        0.00763903,
        0.00636075,
        0.00759319,
        0.0086006,
        0.00701673,
        0.00796931,
        0.00743482,
        0.00758761,
        0.006744,
        0.0107424,
        0.0123818,
        0.0107703,
        0.00823197,
        0.0077556,
        0.00905417,
        0.00851371,
        0.00711699,
        0.00851657,
        0.00956488,
        0.00979306,
        0.00999935,
        0.00841362,
        0.00583892,
        0.00707093,
        0.00747391,
        0.00729969,
        0.00594742,
        0.00642102,
        0.00712892,
        0.00639557,
        0.00629555,
        0.00663398,
        0.00563577,
        0.00659034,
        0.00794406,
        0.00612195,
        0.00513249,
        0.00694917,
        0.00697913,
        0.00720342,
        0.00771445,
        0.00891521,
        0.00755697,
        0.00655942,
        0.00611178,
        0.00528856,
        0.00591926,
        0.00728537,
        0.00634407,
        0.00652763,
        0.00628535,
        0.00594235,
        0.00555264,
        0.00783379,
        0.00724858,
        0.00574106,
        0.00640429,
        0.00561108,
        0.00567913,
        0.00787271,
        0.00944819,
        0.00979906,
        0.00939268,
        0.00683335,
        0.0066632,
        0.00682576,
        0.00872513,
        0.00632806,
        0.00686453,
        0.00581911,
        0.00673359,
        0.00704253,
        0.00789379,
        0.00758409,
        0.00670991,
        0.00696609,
        0.0070811,
        0.00660391,
        0.00742768,
        0.00704447,
        0.00505976,
        0.00705406,
        0.00838195,
        0.00720015,
        0.00776022,
        0.0070464,
        0.00730776,
        0.00787116,
        0.009095,
        0.0085279,
        0.00798936,
        0.0106016,
        0.0142252,
        0.014028,
        0.0105771,
        0.0112644,
        0.0108208,
        0.0106315,
        0.0119487,
        0.0122137,
        0.0138545,
        0.0127714,
        0.0148552,
        0.0197882,
        0.0291179,
        0.0307496,
        0.0248922,
        0.0207297,
        0.0170628,
        0.0134571,
        0.0118863,
        0.0132437,
        0.0109465,
        0.0111514,
        0.0110547,
        0.00869022,
        0.00823414,
        0.00625722,
        0.00852573,
        0.00934217,
        0.0094202,
        0.00811902,
        0.00638096,
        0.00725359,
        0.00868694,
        0.00956551,
        0.0119189,
        0.0147898,
        0.0127416,
        0.0133029,
        0.013484,
        0.0128544,
        0.0121709,
        0.00994012,
        0.012193,
        0.0133282,
        0.0110583,
        0.00856518,
        0.00725947,
        0.00653658,
        0.00614669,
        0.00610769,
        0.00689804,
        0.00694258,
        0.00760661,
        0.00888843,
        0.00979868,
        0.00798887,
        0.00740007,
        0.00738847,
        0.00842657,
        0.00908049,
        0.0098156,
        0.00861797,
        0.00686737,
        0.00769505,
        0.00806545,
        0.0093198,
        0.00844562,
        0.00525893,
        0.00548382,
        0.00678322,
        0.00841922,
        0.00784526,
        0.00689013,
        0.00659346,
        0.00695149,
        0.00834207,
        0.00765857,
        0.00721153,
        0.00814627,
        0.0079642,
        0.00851147,
        0.00773032,
        0.00776409,
        0.00831649,
        0.00610828,
        0.00678062,
        0.00835231,
        0.00679342,
        0.00802974,
        0.00830982,
        0.00851106,
        0.00807714,
        0.00707949,
        0.00788704,
        0.00921331,
        0.00828554,
        0.00695823,
        0.0068705,
        0.00816139,
        0.00682087,
        0.00824722,
        0.0119416,
        0.00917976,
        0.00839071,
        0.00711475,
        0.00744355,
        0.00757355,
        0.0080176,
        0.00871708,
        0.00775873,
        0.00664644,
        0.00799994,
        0.0105387,
        0.0125002,
        0.0121399,
        0.0108129,
        0.00944135,
        0.00572573,
        0.0077085,
        0.0070824,
        0.00827826,
        0.00759009,
        0.00847194,
        0.00742961,
        0.00729198,
        0.00761284,
        0.00879898,
        0.0109127,
        0.010147,
        0.00877062,
        0.00928442,
        0.0095821,
        0.0142181,
        0.0105415,
        0.0101654,
        0.00821415,
        0.0118775,
        0.00959494,
        0.0105294,
        0.0121625,
        0.0143573,
        0.0145965,
        0.0145233,
        0.0163167,
        0.0193294,
        0.0254154,
        0.0340935,
        0.0281204,
        0.0202153,
        0.0159295,
        0.0128536,
        0.0130433,
        0.014523,
        0.00982753,
        0.0087176,
        0.00836886,
        0.00814225,
        0.0091624,
        0.00936032,
        0.00896593,
        0.00909667,
        null,
        0.000267166,
        0.00299495,
        0.00625706,
        0.00879596,
        0.00870513,
        0.00838359,
        0.00813405,
        0.0056497,
        0.00562949,
        0.00638687,
        0.00730815,
        0.00785723,
        0.00856085,
        0.00772722,
        0.00744821,
        0.0087017,
        0.00816599,
        0.00750533,
        0.00756471,
        0.00705351,
        0.00810424,
        0.00942177,
        0.00906986,
        0.0103874,
        0.007585,
        0.00753736,
        0.00537389,
        0.00783787,
        0.00764465,
        0.00897769,
        0.0071372,
        0.00690508,
        0.00669989,
        0.00751126,
        0.00771378,
        0.00688694,
        0.00707223,
        0.00824694,
        0.00830188,
        0.00744316,
        0.00715067,
        0.00722706,
        0.00782703,
        0.00803936,
        0.0066741,
        0.00842789,
        0.00781894,
        0.0108938,
        0.0119419,
        0.0119285,
        0.0102505,
        0.00939035,
        0.00930224,
        0.007538,
        0.00782759,
        0.00834605,
        0.0101419,
        0.0101153,
        0.00906066,
        0.0103407,
        0.0112805,
        0.0132038,
        0.0149803,
        0.0103118,
        0.0122979,
        0.014303,
        0.016545,
        0.0177331,
        0.0232951,
        0.0305068,
        0.0263172,
        0.0174226,
        0.0155743,
        0.0145077,
        0.0131798,
        0.0140775,
        0.0142487,
        0.0105885,
        0.0096041,
        0.00877596,
        0.00996208,
        0.0085405,
        0.00883482,
        0.0102538,
        0.0082726,
        0.00771284,
        0.00911274,
        0.00898533,
        0.00787221,
        0.008061,
        0.00798275,
        0.00773402,
        0.0114392,
        0.0148551,
        0.0151797,
        0.0152653,
        0.0123213,
        0.00722325,
        0.00772454,
        0.00776321,
        0.00828067,
        0.00766448,
        0.0105458,
        0.0145674,
        0.0085661,
        0.00699091,
        0.00657287,
        0.00678545,
        0.00812674,
        0.00692976,
        0.00677884,
        0.00715935,
        0.0074804,
        0.00782741,
        0.00838811,
        0.00799809,
        0.00711844,
        0.00848001,
        0.0107747,
        0.0112266,
        0.0104304,
        0.00901052,
        0.00908721,
        0.00995392,
        0.00884122,
        0.00782621,
        0.00713144,
        0.00717369,
        0.00895714,
        0.0084286,
        0.00777869,
        0.0089267,
        0.00920234,
        0.0107876,
        0.0125239,
        0.0105629,
        0.0076825,
        0.00740207,
        0.00782128,
        0.00771902,
        0.00718088,
        0.00710672,
        0.00726521,
        0.00757374,
        0.00844637,
        0.00832859,
        0.0073679,
        0.00792837,
        0.0088665,
        0.00757794,
        0.00897284,
        0.00867308,
        0.00707146,
        0.00703596,
        0.00737999,
        0.00820472,
        0.00842837,
        0.00762938,
        0.00711281,
        0.00779759,
        0.00883779,
        0.00828415,
        0.00838938,
        0.00995224,
        0.00700656,
        0.00733929,
        0.0112888,
        0.00943973,
        0.0103825,
        0.00830263,
        0.00770717,
        0.0073195,
        0.00545186,
        0.00635355,
        0.00704856,
        0.00710125,
        0.00766906,
        0.00764986,
        0.00740404,
        0.0073691,
        0.00789111,
        0.00749532,
        0.00666198,
        0.00811713,
        0.00569993,
        0.00581777,
        0.00606118,
        0.00705891,
        0.00965404,
        0.00977402,
        0.00883504,
        0.00878427,
        0.0062209,
        0.00654314,
        0.00647997,
        0.00641633,
        0.00738365,
        0.00701588,
        0.00694227,
        0.00624606,
        0.00578787,
        0.00667545,
        0.00755963,
        0.00826388,
        0.00863304,
        0.0080649,
        0.00821792,
        0.00741146,
        0.00819298,
        0.0069137,
        0.00579499,
        0.00733305,
        0.00637091,
        0.00695664,
        0.0083241,
        0.00816644,
        0.00713259,
        0.00836101,
        0.00858027,
        0.00987969,
        0.00894474,
        0.00919038,
        0.00877886,
        0.00809247,
        0.00849596,
        0.00897598,
        0.00858621,
        0.00741424,
        0.00902268,
        0.0103677,
        0.00997665,
        0.00884508,
        0.0103525,
        0.011828,
        0.0120025,
        0.0125748,
        0.0121248,
        0.0118039,
        0.0140685,
        0.0155108,
        0.0133185,
        0.013084,
        0.0139158,
        0.0162154,
        0.0179384,
        0.0209885,
        0.032071,
        0.038312,
        0.0204497,
        0.0222689,
        0.0198895,
        0.0163213,
        0.0136329,
        0.0117647,
        0.0128956,
        0.0108894,
        0.00984531,
        0.0103405,
        0.00898977,
        0.00882743,
        0.00859507,
        0.0093906,
        0.0104751,
        0.00906895,
        0.00882262,
        0.00840397,
        0.00702854,
        0.00749218,
        0.00702392,
        0.00654037,
        0.0082627,
        0.00909882,
        0.00757318,
        0.0104707,
        0.010937,
        0.00971086,
        0.0112706,
        0.0102479,
        0.0154774,
        0.0114949,
        0.015314,
        0.0222889,
        0.0268701,
        0.0218376,
        0.0183018,
        0.0170052,
        0.0161402,
        0.0151141,
        0.0137351,
        0.0128107,
        0.0129742,
        0.015049,
        0.0182895,
        0.0198101,
        0.0215148,
        0.0243441,
        0.0236169,
        0.0229554,
        0.0210934,
        0.021153,
        0.0167726,
        0.0193401,
        0.0188143,
        0.0164314,
        0.015629,
        0.014454,
        0.0119775,
        0.0133878,
        0.0105264,
        0.00813645,
        0.0100411,
        0.00936053,
        0.00857044,
        0.010262,
        0.00990701,
        0.00840902,
        0.00872267,
        0.00893121,
        0.00799324,
        0.00655125,
        0.00746229,
        0.00731931,
        0.0063889,
        0.00548813,
        0.00625134,
        0.00839725,
        0.00858674,
        0.00697148,
        0.00551501,
        0.00646002,
        0.00686316,
        0.00771725,
        0.00610334,
        0.00686507,
        0.00618186,
        0.00555597,
        0.00642515,
        0.0062891,
        0.00592166,
        0.00628027,
        0.00694929,
        0.00748946,
        0.00643491,
        0.00644778,
        0.00592648,
        0.00679539,
        0.00803608,
        0.00660993,
        0.00756376,
        0.00698914,
        0.00840964,
        0.00719346,
        0.00637802,
        0.00559834,
        0.00629505,
        0.00614599,
        0.00789986,
        0.00763118,
        0.00592917,
        0.00634026,
        0.00632473,
        0.00691182,
        0.00731442,
        0.00621421,
        0.0056341,
        0.00628883,
        0.00674555,
        0.0070908,
        0.00902796,
        0.00915519,
        0.00780529,
        0.00743263,
        0.00693631,
        0.00609155,
        0.0086596,
        0.010667,
        0.00907388,
        0.0111148,
        0.00839306,
        0.00886239,
        0.00763076,
        0.0077876,
        0.00763135,
        0.00676567,
        0.0059897,
        0.00801048,
        0.00825716,
        0.00763929,
        0.00880641,
        0.00840289,
        0.00689397,
        0.00717841,
        0.00792783,
        0.00875707,
        0.00820596,
        0.00670027,
        0.00675554,
        0.00891028,
        0.00786334,
        0.0119684,
        0.0086008,
        0.0108143,
        0.008817,
        0.00719703,
        0.00769513,
        0.00835534,
        0.00859913,
        0.00899213,
        0.0098766,
        0.00966563,
        0.0109001,
        0.0123897,
        0.0133431,
        0.0133052,
        0.0115619,
        0.011366,
        0.0114251,
        0.0104238,
        0.0113682,
        0.0128527,
        0.0176879,
        0.0222692,
        0.0297599,
        0.0615225,
        0.0258841,
        0.0197527,
        0.0174198,
        0.0132063,
        0.0134654,
        0.0131415,
        0.0173411,
        0.0128074,
        0.0103699,
        0.0115957,
        0.00954558,
        0.00826734,
        0.00840333,
        0.00907427,
        0.01075,
        0.0108633,
        0.0100045,
        0.00878241,
        0.0103349,
        0.00923189,
        0.0115434,
        0.00870463,
        0.00795708,
        0.00758885,
        0.00794333,
        0.00749062,
        0.00973544,
        0.00928575,
        0.00816187,
        0.00911913,
        0.00723449,
        0.00616074,
        0.00989466,
        0.00923898,
        0.00911465,
        0.00974027,
        0.00926366,
        0.0084186,
        0.00760148,
        0.00779205,
        0.00709551,
        0.0069819,
        0.00928678,
        0.0101694,
        0.00997581,
        0.00809885,
        0.010065,
        0.0102805,
        0.0114383,
        0.0149022,
        0.0130913,
        0.0110809,
        0.0103977,
        0.0138246,
        0.0129173,
        0.00975738,
        0.0111892,
        0.00874415,
        0.00883191,
        0.00947583,
        0.00721146,
        0.00778951,
        0.00807994,
        0.00872114,
        0.00838432,
        0.00819073,
        0.00869272,
        0.0079201,
        0.00770949,
        0.00933501,
        0.0101525,
        0.00910794,
        0.00760711,
        0.00769765,
        0.00768289,
        0.00872578,
        0.00698962,
        0.00800188,
        0.00931781,
        0.00829962,
        0.0125653,
        0.011189,
        0.00924779,
        0.0112966,
        0.0118613,
        0.00963152,
        0.00852621,
        0.00940788,
        0.00715843,
        0.00899839,
        0.00859783,
        0.00896073,
        0.00910576,
        0.00903183,
        0.0084465,
        0.00833209,
        0.00797375,
        0.00941787,
        0.0101866,
        0.00986886,
        0.0112519,
        0.0105633,
        0.00895146,
        0.0114487,
        0.0130109,
        0.0120641,
        0.00936746,
        0.00932906,
        0.0110795,
        0.00897815,
        0.00785559,
        0.00817586,
        0.0097101,
        0.0100815,
        0.00809285,
        0.00723839,
        0.00736794,
        0.00849625,
        0.00893549,
        0.00824513,
        0.00910223,
        0.00885529,
        0.00788409,
        0.00879611,
        0.00815496,
        0.00821496,
        0.00895783,
        0.00847871,
        0.00915415,
        0.0118238,
        0.0127807,
        0.0089874,
        0.0119486,
        0.0108507,
        0.0128921,
        0.00947891,
        0.010132,
        0.00964632,
        0.00825796,
        0.00892736,
        0.00975512,
        0.00925667,
        0.0112717,
        0.0100487,
        0.0103753,
        0.0106845,
        0.00988054,
        0.00963206,
        0.00945612,
        0.0109759,
        0.0133816,
        0.0154392,
        0.0157215,
        0.0138322,
        0.0147639,
        0.0183494,
        0.0196432,
        0.0198439,
        0.0202374,
        0.0228374,
        0.0164726,
        0.0151598,
        0.0144312,
        0.015424,
        0.0145231,
        0.0146947,
        0.0190771,
        0.0174732,
        0.0230864,
        0.0237956,
        0.0351441,
        0.0283853,
        0.0199049,
        0.0175849,
        0.0227244,
        0.0216819,
        0.0244778,
        0.0281578,
        0.0248096,
        0.0209888,
        0.0165061,
        0.011759,
        0.0109845,
        0.0120459,
        0.0104566,
        0.013556,
        0.0134618,
        0.0121951,
        0.0108213,
        0.0119502,
        0.0106844,
        0.0108701,
        0.00958416,
        0.0123653,
        0.0107373,
        0.0123465,
        0.01064,
        0.0166882,
        0.0183334,
        0.0194503,
        0.022761,
        0.0243547,
        0.0243914,
        0.0200409,
        0.0177867,
        0.0164483,
        0.0153784,
        0.0162272,
        0.0156481,
        0.0142913,
        0.0137814,
        0.0139057,
        0.0146912,
        0.017521,
        0.0192328,
        0.016257,
        0.0158448,
        0.0176919,
        0.0174135,
        0.0152309,
        0.0206552,
        0.0232342,
        0.0335264,
        0.0254449,
        0.0251627,
        0.0239976,
        0.0304892,
        0.0245824,
        0.024774,
        0.022928,
        0.0203947,
        0.020879,
        0.0181854,
        0.0293753,
        0.0285896,
        0.0361485,
        0.026293,
        0.0280495,
        0.0239987,
        0.0208063,
        0.0158091,
        0.0181285,
        0.0181514,
        0.0144476,
        0.0164044,
        0.0171659,
        0.0195448,
        0.0216063,
        0.0285381,
        0.0231393,
        0.0191265,
        0.0212449,
        0.0197091,
        0.0189435,
        0.0180998,
        0.0166261,
        0.0188691,
        0.0317983,
        0.0495242,
        0.037123,
        0.0369256,
        0.0329896,
        0.0447218,
        0.0426365,
        0.0434132,
        null,
        0.0242307,
        0.0275256,
        0.0233633,
        0.0173321,
        0.0167232,
        0.0165573,
        0.0167476,
        0.0148993,
        0.0187766,
        0.0141774,
        0.0190499,
        0.015773,
        0.0155184,
        0.0118727,
        0.0160501,
        0.0148721,
        0.0130044,
        0.012986,
        0.0127758,
        0.0101125,
        0.00984056,
        0.00975144,
        0.00920566,
        0.0106038,
        0.010059,
        0.00978803,
        0.010796,
        0.0106427,
        0.00985469,
        0.00936618,
        0.0100568,
        0.00986588,
        0.0084506,
        0.00905009,
        0.0101058,
        0.00897092,
        0.00912157,
        0.0102157,
        0.0120126,
        0.011624,
        0.00981273,
        0.0114064,
        0.0170716,
        0.0168753,
        0.0134785,
        0.0119447,
        0.0114889,
        0.0075492,
        0.0110362,
        0.0100589,
        0.010912,
        0.00762944,
        0.00903397,
        0.0132976,
        0.00941125,
        0.00844065,
        0.00685187,
        0.00821877,
        0.0100282,
        0.00945959,
        0.00971792,
        0.0100336,
        0.00984939,
        0.00900081,
        0.00944031,
        0.0105718,
        0.0108221,
        0.00973137,
        0.00829442,
        0.00807706,
        0.00846408,
        0.00927171,
        0.00889582,
        0.0104014,
        0.0114815,
        0.0119541,
        0.0110542,
        0.0115521,
        0.0145944,
        0.0118834,
        0.0111656,
        0.0109357,
        0.0106297,
        0.0137411,
        0.0188565,
        0.0185279,
        0.0104168,
        0.0125032,
        0.00955224,
        0.0089647,
        0.00892126,
        0.00983578,
        0.0101546,
        0.00710822,
        0.00966188,
        0.0087871,
        0.00943454,
        0.00904119,
        0.00779637,
        0.00787427,
        0.00751172,
        0.00820754,
        0.00874228,
        0.00774928,
        0.00996464,
        0.00911077,
        0.00714084,
        0.00867989,
        0.00887014,
        0.0086277,
        0.00962885,
        0.00805464,
        0.00698757,
        0.00912289,
        0.00889712,
        0.00800685,
        0.00885179,
        0.00974907,
        0.00880366,
        0.00838147,
        0.00859071,
        0.00789546,
        null,
        0.00336343,
        0.00629293,
        0.00922242,
        0.0117658,
        0.0121926,
        0.0107103,
        0.0113258,
        0.00913329,
        0.00972255,
        0.010048,
        0.00829421,
        0.00885259,
        0.00944261,
        0.010882,
        0.0107753,
        0.0131729,
        0.0171103,
        0.013441,
        0.0112727,
        0.0129103,
        0.0123506,
        0.0139707,
        0.0118716,
        0.0137522,
        0.0100915,
        0.0110446,
        0.0105464,
        0.00965986,
        0.0108793,
        0.0114592,
        0.0104211,
        0.00930157,
        0.00901949,
        0.0103777,
        0.0108167,
        0.0107962,
        0.00976787,
        0.0106382,
        0.00985295,
        0.0108707,
        0.0120859,
        0.0104686,
        0.00993342,
        0.00950092,
        0.00949768,
        0.00974108,
        0.010652,
        0.0128824,
        0.0128302,
        0.010422,
        0.0106951,
        0.0126102,
        0.0116482,
        0.0161253,
        0.0162498,
        0.019002,
        0.0178832,
        0.0162597,
        0.0185996,
        0.0197923,
        0.0200263,
        0.0153936,
        0.0173961,
        0.0165182,
        0.0124514,
        0.0129357,
        0.013868,
        0.0135629,
        0.0109306,
        0.0101442,
        0.0136011,
        0.0138797,
        0.0144077,
        0.0148526,
        0.0169423,
        0.0152944,
        0.0121968,
        0.0099415,
        0.0116073,
        0.0118827,
        0.0102959,
        0.0103713,
        0.0104915,
        0.0111642,
        0.0135033,
        0.0137976,
        0.014706,
        0.0130212,
        0.0123561,
        0.0126908,
        0.0134756,
        0.0173423,
        0.0194046,
        0.0199794,
        0.0252388,
        0.03258,
        0.0357668,
        0.035144,
        0.0331234,
        0.0275193,
        0.0205742,
        0.0162798,
        0.0151603,
        0.0137332,
        0.0123265,
        0.0122038,
        0.0136444,
        0.0150377,
        0.0135867,
        0.0128403,
        0.0135287,
        0.0135489,
        0.0120649,
        0.0115952,
        0.0109023,
        0.00951678,
        0.0114965,
        0.0126006,
        0.0122234,
        0.0123351,
        0.0119003,
        0.0122483,
        0.0130322,
        0.0122438,
        0.0103529,
        0.010311,
        0.0126858,
        0.0121934,
        0.010371,
        0.0107033,
        0.0106986,
        0.00967222,
        0.00939965,
        0.0091525,
        0.00957344,
        0.0107239,
        0.0112161,
        0.00881388,
        0.00860116,
        0.0112451,
        0.0115445,
        0.0105759,
        0.010898,
        0.010997,
        0.00997668,
        0.0104138,
        0.0126485,
        0.0118627,
        0.0112564,
        0.0122715,
        0.0126047,
        0.0138597,
        0.0152001,
        0.0131321,
        0.0111192,
        0.0119025,
        0.0126516,
        0.0107686,
        0.0101162,
        0.0106273,
        0.0109653,
        0.00922207,
        0.0112217,
        0.0104058,
        0.0109232,
        0.0117627,
        0.010166,
        0.0106169,
        0.0110633,
        0.0106216,
        0.0113013,
        0.009552,
        0.0102605,
        0.0120841,
        0.010791,
        0.011319,
        0.0117371,
        0.0124141,
        0.0115611,
        0.0104293,
        0.0127758,
        0.0149471,
        0.0135549,
        0.0108124,
        0.00919314,
        0.00997928,
        0.0103118,
        0.0105519,
        0.0108777,
        0.0111854,
        0.0104506,
        0.011962,
        0.0123422,
        0.0115076,
        0.00997209,
        0.00978035,
        0.00874796,
        0.00922625,
        0.0111688,
        0.0105241,
        0.0102401,
        0.0092994,
        0.00875823,
        0.0110654,
        0.0115916,
        0.0101982,
        0.0104507,
        0.0131216,
        0.0114652,
        0.0115407,
        0.0122124,
        0.0101027,
        0.0103701,
        0.00879258,
        0.00889528,
        0.0104212,
        0.0097227,
        0.00923128,
        0.0104611,
        0.0117925,
        0.00914059,
        0.00832308,
        0.00941485,
        0.0103732,
        0.0103414,
        0.0125871,
        0.0130039,
        0.0107387,
        0.0119181,
        0.0110222,
        0.0104825,
        0.0108123,
        0.0115845,
        0.00980783,
        0.00944071,
        0.00873582,
        0.00915371,
        0.0107296,
        0.0114304,
        0.0131998,
        0.0127009,
        0.0109594,
        0.0115883,
        0.0125019,
        0.0127603,
        0.0132035,
        0.0122799,
        0.0130159,
        0.0133734,
        0.0117205,
        0.0110526,
        0.0116587,
        0.0124248,
        0.0128751,
        0.01298,
        0.0125141,
        0.0135975,
        0.0145295,
        0.0140473,
        0.0146083,
        0.0158526,
        0.0176296,
        0.0187255,
        0.0173602,
        0.0240522,
        0.0259901,
        0.0241572,
        0.0288908,
        0.0336519,
        0.0425068,
        0.0410301,
        0.0302581,
        0.0266846,
        0.0201883,
        0.0190061,
        0.0203318,
        0.0173324,
        0.0155435,
        0.0151721,
        0.0146988,
        0.0147681,
        0.0146038,
        0.0125235,
        0.0125513,
        0.0147043,
        0.0136255,
        0.0141294,
        0.0118243,
        0.0154858,
        0.00941579,
        0.00910436,
        0.010346,
        0.0108674,
        0.0123448,
        0.0122727,
        0.0118476,
        0.00906539,
        0.0104454,
        0.00835722,
        0.00980476,
        0.00889968,
        0.0094808,
        0.0122723,
        0.00946044,
        0.00952237,
        0.00978669,
        0.00778726,
        0.0107232,
        0.0110288,
        0.0117184,
        0.0111409,
        0.00988678,
        0.0119246,
        0.0109327,
        0.0124688,
        0.0130285,
        0.0140718,
        0.0139894,
        0.0165531,
        0.0125045,
        0.0135143,
        0.0115264,
        0.0129652,
        0.013881,
        0.0133547,
        0.0102361,
        0.0108568,
        0.0104703,
        0.0113788,
        0.0080892,
        0.0107323,
        0.0134983,
        0.0118489,
        0.0114839,
        0.0125153,
        0.0147841,
        0.0126267,
        0.0175821,
        0.0163004,
        0.013866,
        0.0137412,
        0.0145246,
        0.0121233,
        0.00988631,
        0.00989635,
        0.0103749,
        0.00907845,
        0.0089563,
        0.00934632,
        0.00959731,
        0.0110838,
        0.011025,
        0.0108413,
        0.0110827,
        0.0104253,
        0.0105825,
        0.0104478,
        0.00978096,
        0.0108972,
        0.0119441,
        0.0124832,
        0.0123071,
        0.0128649,
        0.0118793,
        0.0107847,
        0.0110869,
        0.00995754,
        0.00827771,
        0.00833987,
        0.00921308,
        0.00942716,
        0.00940149,
        0.00902944,
        0.0103001,
        0.0101514,
        0.00929231,
        0.0103546,
        0.0098182,
        0.00994295,
        0.00947253,
        0.00926191,
        0.00906685,
        0.00866561,
        0.00963838,
        0.0101883,
        0.0117673,
        0.0110073,
        0.0106898,
        0.00932687,
        0.0100052,
        0.00922035,
        0.0113378,
        0.00907983,
        0.0101335,
        0.0123341,
        0.0118074,
        0.0128217,
        0.0106927,
        0.0113163,
        0.0114481,
        0.00965547,
        0.0121939,
        0.0114646,
        0.0152434,
        0.0129828,
        0.0117868,
        0.0123997,
        0.0100315,
        0.0103658,
        0.0119213,
        0.0113248,
        0.0119574,
        0.0115527,
        0.0120016,
        0.0107972,
        0.0102848,
        0.011631,
        0.0095265,
        0.0101075,
        0.0109719,
        0.0127169,
        0.0132106,
        0.0135334,
        0.0134396,
        0.0120493,
        0.0123552,
        0.0140884,
        0.0157949,
        0.0153598,
        0.0184514,
        0.0187801,
        0.0183551,
        0.0226517,
        0.0255981,
        0.0258925,
        0.0305557,
        0.038994,
        0.0323177,
        0.0269142,
        0.0205784,
        0.0209085,
        0.0229838,
        0.0214042,
        0.0228862,
        0.0209684,
        0.0187276,
        0.0144148,
        0.0121756,
        0.0164868,
        0.0173156,
        0.0197071,
        0.0176312,
        0.0142773,
        0.0224557,
        0.0259004,
        0.0186771,
        0.0165123,
        0.0154644,
        0.0148908,
        0.0132515,
        0.0125915,
        0.0139668,
        0.00949914,
        0.0124924,
        0.0149555,
        0.0117183,
        0.0122069,
        0.0130003,
        0.0126328,
        0.0119057,
        0.0127457,
        0.0147984,
        0.014648,
        0.0136802,
        0.0147746,
        0.0141729,
        0.0120474,
        0.00994369,
        0.0109612,
        0.0119915,
        0.0123687,
        0.0139284,
        0.012574,
        0.0110167,
        0.0116859,
        0.0141262,
        0.0148632,
        0.0138301,
        0.0121034,
        0.00899814,
        0.00911819,
        0.0136248,
        0.0117415,
        0.0104577,
        0.0100445,
        0.0146638,
        0.0131936,
        0.0128337,
        0.012538,
        0.010621,
        0.0107497,
        0.0111761,
        0.0107832,
        0.0103828,
        0.0120976,
        0.0107401,
        0.00861755,
        0.0096003,
        0.0103464,
        0.0100994,
        0.00994062,
        0.0111455,
        0.0110259,
        0.0105108,
        0.00947976,
        0.0120111,
        0.0119198,
        0.0115875,
        0.0109059,
        0.00871977,
        0.00892455,
        0.0101191,
        0.00873419,
        0.0087841,
        0.00907897,
        0.0097024,
        0.0100161,
        0.00941568,
        0.00968461,
        0.0102939,
        0.0114313,
        0.0107206,
        0.0105791,
        0.010588,
        0.0105207,
        0.00936709,
        0.00961709,
        0.00824766,
        0.00872616,
        0.00914317,
        0.00904591,
        0.00983624,
        0.0101867,
        0.0135636,
        0.0122895,
        0.0101935,
        0.00963448,
        0.0105102,
        0.0100763,
        0.00859609,
        0.0103183,
        0.0129196,
        0.00911491,
        0.0111974,
        0.0111047,
        0.0118587,
        0.00984912,
        0.0118422,
        0.0104323,
        0.0120541,
        0.0109906,
        0.0104765,
        0.0121773,
        0.0118997,
        0.0114922,
        0.0118674,
        0.0145166,
        0.0122053,
        0.0111748,
        0.012104,
        0.0117996,
        0.0131991,
        0.0128618,
        0.0120731,
        0.0132632,
        0.0156683,
        0.0137709,
        0.0118594,
        0.0147328,
        0.0121471,
        0.0136148,
        0.0143505,
        0.0167782,
        0.0164842,
        0.0186237,
        0.0172044,
        0.017721,
        0.0156185,
        0.0178119,
        0.0238702,
        0.0266588,
        0.0274892,
        0.0304487,
        0.0273522,
        0.0420337,
        0.0437106,
        0.0364702,
        0.0296924,
        0.0268809,
        0.0226525,
        0.0204583,
        0.0220045,
        0.0194464,
        0.0196002,
        0.0208032,
        0.0169667,
        0.0169624,
        0.0172915,
        0.0126921,
        0.0141143,
        0.0157576,
        0.0130121,
        0.013854,
        0.0134083,
        0.0144712,
        0.0130494,
        0.0153642,
        0.0128031,
        0.0138638,
        0.0147717,
        0.0143767,
        0.0135164,
        0.0113716,
        0.0125569,
        0.0123689,
        0.0127178,
        0.0144087,
        0.0123942,
        0.0122971,
        0.0109047,
        0.0111213,
        0.0123376,
        0.0141114,
        0.0159926,
        0.0193427,
        0.0176227,
        0.015151,
        0.0130915,
        0.0163235,
        0.0129906,
        0.0138036,
        0.0118563,
        0.0142391,
        0.00849399,
        0.0110556,
        0.0112564,
        0.0114244,
        0.0119591,
        0.0112493,
        0.0102888,
        0.011648,
        0.0115082,
        0.010367,
        0.011285,
        0.0108376,
        0.0104326,
        0.00948888,
        0.0100617,
        0.010653,
        0.010643,
        0.0110968,
        0.0113808,
        0.0101878,
        0.00981659,
        0.0121874,
        0.0119801,
        0.0130368,
        0.0107274,
        0.0100268,
        0.0111831,
        0.0112992,
        0.0097819,
        0.0097817,
        0.0115221,
        0.0100056,
        0.0100765,
        0.00866238,
        0.00949206,
        0.0134579,
        0.0112987,
        0.0137663,
        0.0105208,
        0.0118031,
        0.0109626,
        0.00991359,
        0.0109004,
        0.0102621,
        0.00980679,
        0.00827399,
        0.00778987,
        0.0104257,
        0.0104409,
        0.0101815,
        0.0101368,
        0.00897851,
        0.0093672,
        0.00898333,
        0.00922252,
        0.0106305,
        0.0119925,
        0.0104071,
        0.0106708,
        0.0105779,
        0.00987601,
        0.0101866,
        0.0121448,
        0.0122428,
        0.00869766,
        0.0128435,
        0.0117121,
        0.0111531,
        0.00985779,
        0.0126142,
        0.0108289,
        0.0130454,
        0.0117438,
        0.0143392,
        0.0142654,
        0.0121658,
        0.0115867,
        0.0113014,
        0.0123435,
        0.012183,
        0.013635,
        0.0130797,
        0.0126833,
        0.0114476,
        0.0126873,
        0.0127928,
        0.0153646,
        0.0131679,
        0.0124491,
        0.0153438,
        0.0113775,
        0.0138087,
        0.0152466,
        0.0186495,
        0.0154432,
        0.012461,
        0.0133516,
        0.0171803,
        0.0154884,
        0.0204557,
        0.0172316,
        0.0185911,
        0.0187696,
        0.0191696,
        0.0228043,
        0.0221631,
        0.0208703,
        0.023722,
        0.0312141,
        0.0356165,
        0.0339008,
        0.033951,
        0.0391824,
        null,
        0.0213977,
        0.0195496,
        0.0175496,
        0.0185813,
        0.0198927,
        0.0179882,
        0.0168858,
        0.0152,
        0.0161914,
        0.0174916,
        0.01629,
        0.0127496,
        0.0147012,
        0.0135193,
        0.014978,
        0.0140825,
        0.0162384,
        0.0164102,
        0.0186216,
        0.0153411,
        0.0146743,
        0.0154913,
        0.013974,
        0.0134187,
        0.0137525,
        0.0149734,
        0.0156133,
        0.0146984,
        0.014688,
        0.0127158,
        0.016252,
        0.0147024,
        0.01483,
        0.0123129,
        0.0151062,
        0.0146713,
        0.0159071,
        0.0147063,
        0.0180234,
        0.0165537,
        0.0156384,
        0.0180148,
        0.0170333,
        0.0162186,
        0.0195423,
        0.0216798,
        0.0191754,
        null,
        0.0476433,
        0.0429028,
        0.0410614,
        0.037176,
        0.0369448,
        0.0370117,
        0.0397803,
        0.0341282,
        0.0295834,
        0.0359451,
        0.0325205,
        0.0399157,
        0.0395762,
        0.0371691,
        0.0398627,
        0.0396719,
        null,
        0.0521938,
        0.0347563,
        0.0173187,
        0.00982586,
        0.010948,
        0.0100446,
        0.0093912,
        0.0115013,
        0.0106597,
        0.0097097,
        0.0083427,
        0.00888764,
        0.00828368,
        0.00816143,
        0.00983521,
        0.0105342,
        0.0103764,
        0.0101247,
        0.0101172,
        0.0096099,
        0.0105253,
        0.00892099,
        0.00975163,
        0.00908352,
        0.0108277,
        0.00744322,
        0.00789187,
        0.00817458,
        0.008967,
        0.00864455,
        0.00932907,
        0.00804074,
        0.00853728,
        0.00865241,
        0.0103028,
        0.00960884,
        0.00892441,
        0.00835093,
        0.00921484,
        0.0113152,
        0.010217,
        0.00907029,
        0.00993585,
        0.0109106,
        0.00941489,
        0.0102174,
        0.00943067,
        0.00925681,
        0.0104359,
        0.0100382,
        0.00961409,
        0.00948873,
        0.00860959,
        0.00961779,
        0.00830079,
        0.00873571,
        0.00846186,
        0.00678238,
        0.00879539,
        0.0100481,
        0.00740814,
        0.00902774,
        0.00920935,
        0.00656999,
        0.00978275,
        0.00908822,
        0.0101768,
        0.00934593,
        0.0108463,
        0.0104843,
        0.00959606,
        0.00880173,
        0.00716086,
        0.00948417,
        0.00802801,
        0.0100791,
        0.0100712,
        0.0107887,
        0.0128544,
        0.0121529,
        0.00959307,
        0.00995103,
        0.0089979,
        0.00850602,
        0.00956465,
        0.0123269,
        0.0127115,
        0.0126244,
        0.0132387,
        0.0125843,
        0.0158217,
        0.0190336,
        0.0181542,
        null,
        0.0197127,
        0.0145209,
        0.0146079,
        0.0151655,
        0.0161351,
        0.0147552,
        0.0109488,
        0.0115629,
        0.013878,
        0.0147369,
        0.0144926,
        0.0123362,
        0.0140659,
        0.0120755,
        0.0112044,
        0.009092,
        0.0148187,
        0.0161974,
        0.012381,
        0.00855682,
        0.0136222,
        0.0126624,
        0.00844971,
        0.0108635,
        0.0128827,
        0.0119062,
        0.0120725,
        0.0125472,
        0.0119523,
        0.0098016,
        0.0082422,
        0.00903345,
        0.00902357,
        0.0111511,
        0.00894418,
        0.00868537,
        0.00982899,
        0.0106152,
        0.00919815,
        0.00876698,
        0.00847517,
        0.010417,
        0.0114183,
        0.0103917,
        0.0103672,
        0.0100552,
        0.0102952,
        0.0129372,
        0.0137416,
        0.0121979,
        0.0129883,
        0.016844,
        0.0168014,
        0.0165709,
        0.0172826,
        0.0176672,
        0.018293,
        0.0247286,
        0.0255983,
        0.0261897,
        0.0289196,
        null,
        0.0262556,
        0.0208721,
        0.0252613,
        0.0210558,
        0.0149601,
        0.0218955,
        0.0183364,
        0.0159229,
        0.0141898,
        0.0153127,
        0.0150318,
        0.0143646,
        0.0151383,
        0.0135078,
        0.0132488,
        0.0132595,
        0.0109318,
        0.0126792,
        0.0119284,
        0.0139194,
        0.013194,
        0.0135379,
        0.0122964,
        0.0110574,
        0.0126183,
        0.0131332,
        0.0137815,
        0.0110516,
        0.00917982,
        0.0111853,
        0.01261,
        0.0147102,
        0.0158145,
        0.0161989,
        0.0140478,
        0.0176536,
        0.0175561,
        0.0158845,
        0.0175724,
        null,
        0.023247,
        0.0255742,
        0.0323238,
        0.0208843,
        0.0153021,
        0.0164592,
        0.0169487,
        0.0128515,
        0.0136013,
        0.0122472,
        0.0121346,
        0.0117345,
        0.0107075,
        0.0120967,
        0.00928937,
        0.00817045,
        0.0138368,
        0.00916505,
        0.00840832,
        0.00860566,
        0.00957144,
        0.0102718,
        0.0114063,
        0.0107273,
        0.00998959,
        0.00935916,
        0.00916667,
        0.00716492,
        0.0103568,
        0.00980391,
        0.0109551,
        0.00902409,
        0.00850744,
        0.00978935,
        0.00821484,
        0.00784517,
        0.00868815,
        0.00861324,
        0.00693468,
        0.00699116,
        0.0080876,
        0.00965432,
        0.0102846,
        0.00857263,
        0.00972225,
        0.0115671,
        0.0087491,
        0.00987332,
        0.00966242,
        0.00853455,
        0.00945187,
        0.0108822,
        0.0111635,
        0.00873634,
        0.00932249,
        0.00813384,
        0.00868411,
        0.0080123,
        0.00911863,
        0.00822849,
        0.00776168,
        0.0097521,
        0.00694338,
        0.0103483,
        0.00841652,
        0.00689949,
        0.00766366,
        0.00857601,
        0.00952689,
        0.0100568,
        0.00855319,
        0.00809762,
        0.00822009,
        0.0087069,
        0.00660116,
        0.00824431,
        0.00981636,
        0.00719364,
        0.00795869,
        0.00837654,
        0.0101194,
        0.0113265,
        0.00891507,
        0.00820898,
        0.00617824,
        0.00624835,
        0.00604323,
        0.0075432,
        0.0082455,
        0.00962752,
        0.00907332,
        0.00689636,
        0.00830367,
        0.00735347,
        0.0078613,
        0.00821112,
        0.00724382,
        0.00736988,
        0.00782086,
        0.00649412,
        0.00538561,
        0.00720652,
        0.00787502,
        0.00869435,
        0.0094126,
        0.00843016,
        0.0079866,
        0.00814435,
        0.00817711,
        0.00631885,
        0.0080691,
        0.00828468,
        0.00704603,
        0.00830101,
        0.00882901,
        0.0115546,
        0.00672578,
        0.00796525,
        0.00835178,
        0.00886868,
        0.0087181,
        0.00969039,
        0.0110994,
        0.00955824,
        0.00854793,
        0.00659022,
        0.00695321,
        0.00911266,
        0.00837921,
        0.00862986,
        0.00859246,
        0.00857533,
        0.010567,
        0.00805093,
        0.00771015,
        0.00769812,
        0.00764026,
        0.00843588,
        0.00929212,
        0.00863973,
        0.0099434,
        0.0111611,
        0.0113366,
        0.00833077,
        0.00911114,
        0.0125651,
        0.0103883,
        0.0142019,
        0.0123152,
        0.0140932,
        0.0112054,
        0.0134797,
        0.0146223,
        0.0167622,
        0.0179161,
        0.0178986,
        0.0196451,
        0.0208476,
        0.0247393,
        0.0226935,
        null,
        0.0291762,
        0.0274637,
        0.0266232,
        0.0198351,
        0.0202102,
        0.0148723,
        0.0170558,
        0.0129074,
        0.0131723,
        0.0102585,
        0.0122123,
        0.0122222,
        0.0113112,
        0.00695654,
        0.00928234,
        0.0100933,
        0.0108998,
        0.00947765,
        0.0100242,
        0.0102174,
        0.00909718,
        0.00661633,
        0.00739489,
        0.00711021,
        0.0102157,
        0.00996451,
        0.00883568,
        0.00829956,
        0.00844841,
        0.00756723,
        0.00807892,
        0.00779463,
        0.00767043,
        0.00809649,
        0.00685613,
        0.00631399,
        0.00883223,
        0.00855256,
        0.00754709,
        0.00819647,
        0.00654257,
        0.00691895,
        0.0075358,
        0.00717326,
        0.00750116,
        0.00790663,
        0.00661504,
        0.00662396,
        0.00682648,
        0.00840195,
        0.00855745,
        0.00837888,
        0.00822691,
        0.00909041,
        0.00976683,
        0.00764807,
        0.0111714,
        0.00588092,
        0.00709924,
        0.00844344,
        0.010359,
        0.00903666,
        0.00855112,
        0.00749762,
        0.00876,
        0.0107034,
        0.00885365,
        0.0102622,
        0.0114686,
        0.00902927,
        0.0141671,
        0.00813257,
        0.00797717,
        0.00792005,
        0.00888972,
        0.00770987,
        0.00827705,
        0.00841552,
        0.00906941,
        0.00983584,
        0.00739358,
        0.00750873,
        0.0076018,
        0.00822024,
        0.00872161,
        0.00880765,
        0.00945615,
        0.00743468,
        0.0086942,
        0.00835744,
        0.00849916,
        0.0078446,
        0.00766789,
        0.00967722,
        0.00946317,
        0.010639,
        0.0100292,
        0.0100582,
        0.012277,
        0.0109191,
        0.00979001,
        0.0101164,
        0.00958953,
        0.0104233,
        0.00839632,
        0.0082542,
        0.00910032,
        0.00769594,
        0.00929691,
        0.0081464,
        0.00883976,
        0.008415,
        0.00959256,
        0.00850011,
        0.00770871,
        0.00978654,
        0.00889494,
        0.00708074,
        0.0106499,
        0.0111285,
        0.00876775,
        0.0075745,
        0.00832111,
        0.00794497,
        0.00716391,
        0.00806212,
        0.00891864,
        0.0101807,
        0.0107535,
        0.0111081,
        0.0123246,
        0.0103947,
        0.00871196,
        0.0135382,
        0.0137273,
        0.0119628,
        0.0129664,
        0.0154852,
        0.0172248,
        0.0175563,
        0.0185779,
        null,
        0.0364637,
        0.034583,
        0.0231025,
        0.0165199,
        0.0144742,
        0.0141435,
        0.0120971,
        0.0132462,
        0.00944604,
        0.0102383,
        0.0121214,
        0.0110079,
        0.0110258,
        0.0091757,
        0.00876038,
        0.0116531,
        0.012157,
        0.0096012,
        0.00911211,
        0.00982642,
        0.00919895,
        0.00961739,
        0.00991602,
        0.00957411,
        0.0101472,
        0.00883469,
        0.00813701,
        0.00995687,
        0.0112743,
        0.0107953,
        0.00893278,
        0.00998662,
        0.0111777,
        0.0109956,
        0.00976803,
        0.00881752,
        0.00954756,
        0.00837699,
        0.00895628,
        0.00815476,
        0.0102116,
        0.00862541,
        0.00912237,
        0.00826709,
        0.00591542,
        0.00768625,
        0.00792615,
        0.00883914,
        0.00767547,
        0.00763703,
        0.00871092,
        0.0089991,
        0.00813227,
        0.00811182,
        0.00595941,
        0.0065361,
        0.00778826,
        0.00793338,
        0.00742914,
        0.0074369,
        0.00738036,
        0.00819636,
        0.00783001,
        0.00749165,
        0.00793879,
        0.007508,
        0.00875516,
        0.00711179,
        0.00651517,
        0.00804147,
        0.00575183,
        0.00723823,
        0.00708985,
        0.00663018,
        0.00944068,
        0.00865323,
        0.009936,
        0.00932876,
        0.00977123,
        0.0088118,
        0.00829281,
        0.0076531,
        0.00638397,
        0.00981027,
        0.0083106,
        0.00755758,
        0.00790141,
        0.00993734,
        0.009007,
        0.00807182,
        0.00794806,
        0.00873523,
        0.00896192,
        0.00805681,
        0.00829281,
        0.010669,
        0.00970318,
        0.00920968,
        0.00890639,
        0.0083103,
        0.00851785,
        0.0106748,
        0.00877258,
        0.00721305,
        0.00791248,
        0.00777827,
        0.00903723,
        0.00989513,
        0.00861264,
        0.00828663,
        0.0089187,
        0.00985007,
        0.0104654,
        0.00900055,
        0.00993299,
        0.0095334,
        0.00918318,
        0.0101399,
        0.00943839,
        0.00919649,
        0.00939206,
        0.0071993,
        0.00837492,
        0.00924539,
        0.0117559,
        0.0123732,
        0.0130256,
        0.0105526,
        0.0123003,
        0.0131687,
        0.0162249,
        0.0168816,
        0.0159452,
        0.0234316,
        0.0211497,
        0.0221996,
        0.0220704,
        0.0318462,
        0.0411321,
        0.0247656,
        0.0202173,
        0.0213777,
        0.0162929,
        0.0129058,
        0.0138144,
        0.0158678,
        0.0108541,
        0.0129737,
        0.0109865,
        0.0124046,
        0.0108131,
        0.00965713,
        0.0103814,
        0.0111786,
        0.00912612,
        0.0103153,
        0.00828495,
        0.0104634,
        0.0092435,
        0.00884009,
        0.00925984,
        0.00762317,
        0.00854732,
        0.0082944,
        0.00773464,
        0.00804265,
        0.0107483,
        0.00971003,
        0.00919783,
        0.0087971,
        0.00996519,
        0.00984596,
        0.00828469,
        0.00868593,
        0.00778425,
        0.00936788,
        0.00709525,
        0.00875461,
        0.0105985,
        0.0104676,
        0.0104924,
        0.00964893,
        0.0089493,
        0.00995423,
        0.00911875,
        0.0106816,
        0.0101831,
        0.0105712,
        0.0106992,
        0.010027,
        0.0110933,
        0.0107109,
        0.00907366,
        0.00881899,
        0.00937111,
        0.0111951,
        0.00982165,
        0.00896568,
        0.00747075,
        0.00858464,
        0.00955123,
        0.00934931,
        0.00842239,
        0.00899772,
        0.0108605,
        0.00908347,
        0.00897654,
        0.00997343,
        0.0111995,
        0.00831607,
        0.0092906,
        0.00926608,
        0.00953986,
        0.00963457,
        0.00739868,
        0.00784292
    ]
}