GET /api/crires_4701nm_4815nm_vstar_vv_cra/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.701080992429047,
        4.701100822960211,
        4.701120653491375,
        4.701140484022538,
        4.701160314553702,
        4.701180145084866,
        4.701199975616029,
        4.701219806147193,
        4.701239636678356,
        4.701259467209519,
        4.701279297740683,
        4.701299128271847,
        4.701318958803011,
        4.701338789334175,
        4.701358619865338,
        4.701378450396502,
        4.701398280927666,
        4.701418111458829,
        4.701437941989993,
        4.701457772521157,
        4.70147760305232,
        4.701497433583484,
        4.701517264114647,
        4.701537094645811,
        4.701556925176975,
        4.701576755708138,
        4.701596586239302,
        4.701616416770466,
        4.701636247301629,
        4.7016560778327925,
        4.701675908363956,
        4.701695738895119,
        4.701715569426283,
        4.701735399957447,
        4.70175523048861,
        4.701775061019775,
        4.7017948915509375,
        4.701814722082101,
        4.701834552613265,
        4.701854383144428,
        4.701874213675592,
        4.701894044206756,
        4.701913874737919,
        4.701933705269083,
        4.701953535800246,
        4.701973366331409,
        4.701993196862575,
        4.702013027393738,
        4.702032857924902,
        4.702052688456066,
        4.7020725189872286,
        4.702092349518392,
        4.702112180049556,
        4.702132010580719,
        4.702151841111883,
        4.702171671643047,
        4.70219150217421,
        4.7022113327053745,
        4.7022311632365374,
        4.702250993767701,
        4.702270824298865,
        4.702290654830028,
        4.702310485361192,
        4.702330315892356,
        4.702350146423519,
        4.7023699769546825,
        4.702389807485846,
        4.702409638017009,
        4.702429468548174,
        4.702449299079337,
        4.702469129610501,
        4.702488960141665,
        4.702508790672828,
        4.702528621203991,
        4.702548451735155,
        4.702568282266318,
        4.702588112797482,
        4.702607943328647,
        4.70262777385981,
        4.7026476043909735,
        4.702667434922138,
        4.702687265453301,
        4.702707095984465,
        4.702726926515628,
        4.702746757046792,
        4.702766587577956,
        4.702786418109119,
        4.702806248640282,
        4.702826079171446,
        4.702845909702609,
        4.702865740233773,
        4.702885570764938,
        4.702905401296101,
        4.7029252318272645,
        4.7029450623584275,
        4.702964892889591,
        4.702984723420755,
        4.703004553951918,
        4.703024384483082,
        4.703044215014246,
        4.703064045545409,
        4.7030838760765725,
        4.703103706607737,
        4.7031235371389,
        4.703143367670064,
        4.703163198201227,
        4.703183028732391,
        4.703202859263555,
        4.703222689794718,
        4.703242520325882,
        4.703262350857046,
        4.703282181388209,
        4.703302011919373,
        4.703321842450538,
        4.703341672981701,
        4.703361503512864,
        4.703381334044027,
        4.703401164575191,
        4.703420995106355,
        4.703440825637518,
        4.703460656168682,
        4.703480486699846,
        4.703500317231009,
        4.703520147762172,
        4.703539978293336,
        4.7035598088245,
        4.703579639355664,
        4.703599469886827,
        4.703619300417991,
        4.7036391309491545,
        4.7036589614803175,
        4.703678792011481,
        4.703698622542645,
        4.703718453073808,
        4.703738283604972,
        4.703758114136136,
        4.7037779446673,
        4.703797775198463,
        4.703817605729626,
        4.70383743626079,
        4.703857266791955,
        4.703877097323118,
        4.703896927854282,
        4.7039167583854455,
        4.7039365889166085,
        4.703956419447772,
        4.703976249978936,
        4.7039960805101,
        4.704015911041264,
        4.704035741572428,
        4.704055572103591,
        4.704075402634754,
        4.704095233165917,
        4.704115063697081,
        4.704134894228245,
        4.704154724759408,
        4.704174555290572,
        4.704194385821736,
        4.704214216352899,
        4.704234046884063,
        4.704253877415227,
        4.70427370794639,
        4.704293538477554,
        4.704313369008717,
        4.704333199539881,
        4.7043530300710446,
        4.7043728606022075,
        4.704392691133371,
        4.704412521664535,
        4.704432352195698,
        4.704452182726863,
        4.7044720132580276,
        4.7044918437891905,
        4.704511674320354,
        4.704531504851517,
        4.704551335382681,
        4.704571165913845,
        4.704590996445008,
        4.704610826976172,
        4.704630657507336,
        4.7046504880384985,
        4.704670318569663,
        4.704690149100827,
        4.70470997963199,
        4.704729810163154,
        4.704749640694317,
        4.704769471225481,
        4.7047893017566444,
        4.704809132287807,
        4.704828962818971,
        4.704848793350135,
        4.704868623881298,
        4.704888454412463,
        4.704908284943627,
        4.7049281154747895,
        4.704947946005953,
        4.704967776537116,
        4.70498760706828,
        4.705007437599444,
        4.705027268130607,
        4.705047098661771,
        4.705066929192935,
        4.705086759724098,
        4.705106590255263,
        4.705126420786427,
        4.70514625131759,
        4.705166081848754,
        4.705185912379917,
        4.7052057429110805,
        4.705225573442244,
        4.705245403973407,
        4.705265234504571,
        4.705285065035735,
        4.705304895566898,
        4.705324726098062,
        4.7053445566292265,
        4.705364387160389,
        4.705384217691553,
        4.705404048222717,
        4.70542387875388,
        4.705443709285044,
        4.705463539816207,
        4.705483370347371,
        4.7055032008785345,
        4.705523031409697,
        4.705542861940861,
        4.705562692472026,
        4.705582523003189,
        4.705602353534353,
        4.705622184065517,
        4.7056420145966795,
        4.705661845127843,
        4.705681675659006,
        4.705701506190171,
        4.705721336721335,
        4.705780828314826,
        4.705800658845989,
        4.705820489377153,
        4.705840319908317,
        4.70586015043948,
        4.705879980970644,
        4.705899811501807,
        4.7059196420329705,
        4.705939472564134,
        4.705959303095297,
        4.705979133626461,
        4.705998964157625,
        4.706018794688789,
        4.706038625219953,
        4.7060584557511165,
        4.706078286282279,
        4.706098116813443,
        4.706117947344606,
        4.70613777787577,
        4.706157608406934,
        4.706177438938097,
        4.706197269469261,
        4.7062171000004245,
        4.706236930531588,
        4.706256761062752,
        4.706276591593916,
        4.706296422125079,
        4.706316252656244,
        4.706336083187407,
        4.70635591371857,
        4.706375744249734,
        4.706395574780897,
        4.706415405312061,
        4.706435235843225,
        4.706455066374389,
        4.7064748969055525,
        4.706494727436716,
        4.706514557967879,
        4.706534388499043,
        4.706554219030206,
        4.70657404956137,
        4.706593880092534,
        4.706613710623697,
        4.7066335411548605,
        4.706653371686024,
        4.706673202217188,
        4.706693032748352,
        4.706712863279516,
        4.706732693810679,
        4.706752524341843,
        4.7067723548730065,
        4.706792185404169,
        4.706812015935333,
        4.706831846466496,
        4.70685167699766,
        4.706871507528824,
        4.706891338059987,
        4.7069111685911516,
        4.706930999122315,
        4.706950829653479,
        4.706970660184643,
        4.706990490715807,
        4.70701032124697,
        4.707030151778134,
        4.707049982309297,
        4.70706981284046,
        4.707089643371624,
        4.707109473902787,
        4.707129304433952,
        4.707149134965116,
        4.707168965496279,
        4.707188796027443,
        4.707208626558606,
        4.707228457089769,
        4.707248287620933,
        4.707268118152096,
        4.70728794868326,
        4.707307779214424,
        4.707327609745587,
        4.7073474402767514,
        4.707367270807915,
        4.707387101339078,
        4.707406931870242,
        4.707426762401406,
        4.707446592932569,
        4.707466423463733,
        4.707486253994896,
        4.7075060845260595,
        4.707525915057223,
        4.707545745588386,
        4.707565576119552,
        4.707585406650716,
        4.707605237181879,
        4.7076250677130425,
        4.707644898244206,
        4.707664728775369,
        4.707684559306533,
        4.707704389837696,
        4.70772422036886,
        4.707744050900024,
        4.707763881431187,
        4.7077837119623505,
        4.707803542493515,
        4.707823373024678,
        4.707843203555842,
        4.707863034087006,
        4.707882864618169,
        4.707902695149333,
        4.7079225256804955,
        4.707942356211659,
        4.707962186742823,
        4.707982017273986,
        4.70800184780515,
        4.708021678336315,
        4.708041508867478,
        4.7080613393986415,
        4.708081169929805,
        4.708101000460968,
        4.708120830992132,
        4.708140661523296,
        4.708160492054459,
        4.708180322585624,
        4.7082001531167865,
        4.70821998364795,
        4.708239814179115,
        4.708259644710278,
        4.708418288959587,
        4.708576933208896,
        4.708596763740059,
        4.708616594271223,
        4.7086364248023855,
        4.708656255333549,
        4.708676085864713,
        4.708695916395877,
        4.708715746927041,
        4.708735577458205,
        4.708755407989368,
        4.7087752385205315,
        4.708795069051696,
        4.708814899582859,
        4.708834730114023,
        4.708854560645186,
        4.70887439117635,
        4.708894221707514,
        4.708914052238677,
        4.708933882769841,
        4.708953713301005,
        4.708973543832168,
        4.708993374363332,
        4.709013204894496,
        4.709033035425659,
        4.7090528659568225,
        4.709072696487985,
        4.709092527019149,
        4.709112357550313,
        4.709132188081477,
        4.709152018612641,
        4.709171849143805,
        4.7091916796749675,
        4.709211510206131,
        4.709231340737295,
        4.709251171268458,
        4.709271001799622,
        4.709290832330785,
        4.709310662861949,
        4.709330493393113,
        4.7093503239242755,
        4.70937015445544,
        4.709389984986604,
        4.709409815517768,
        4.709429646048932,
        4.709449476580096,
        4.7094693071112586,
        4.709489137642422,
        4.709508968173585,
        4.709528798704749,
        4.709548629235913,
        4.709568459767076,
        4.709588290298241,
        4.7096081208294045,
        4.709627951360567,
        4.709647781891731,
        4.709667612422895,
        4.709687442954058,
        4.709707273485222,
        4.709727104016386,
        4.709746934547549,
        4.7097667650787125,
        4.7097865956098754,
        4.70980642614104,
        4.709826256672204,
        4.709846087203367,
        4.709865917734531,
        4.709885748265695,
        4.709905578796858,
        4.709925409328021,
        4.709945239859185,
        4.709965070390348,
        4.709984900921512,
        4.710004731452675,
        4.710024561983841,
        4.710044392515004,
        4.710064223046167,
        4.710084053577331,
        4.710103884108495,
        4.710123714639658,
        4.710143545170822,
        4.710163375701986,
        4.710183206233149,
        4.710203036764312,
        4.710222867295475,
        4.710242697826639,
        4.710262528357804,
        4.710282358888967,
        4.710302189420131,
        4.7103220199512945,
        4.7103418504824575,
        4.710361681013621,
        4.710381511544785,
        4.710401342075948,
        4.710421172607112,
        4.710441003138275,
        4.710460833669439,
        4.710480664200603,
        4.710500494731766,
        4.71052032526293,
        4.710540155794094,
        4.710559986325257,
        4.710579816856421,
        4.710599647387585,
        4.710619477918748,
        4.710639308449911,
        4.710659138981075,
        4.710678969512239,
        4.710698800043404,
        4.710718630574567,
        4.710738461105731,
        4.710758291636894,
        4.710778122168057,
        4.710797952699221,
        4.710817783230385,
        4.710837613761548,
        4.710857444292712,
        4.710877274823875,
        4.710897105355039,
        4.710916935886203,
        4.710936766417366,
        4.71095659694853,
        4.710976427479694,
        4.710996258010857,
        4.711016088542021,
        4.7110359190731845,
        4.7110557496043475,
        4.711075580135511,
        4.711095410666675,
        4.711115241197838,
        4.711135071729002,
        4.711154902260166,
        4.71117473279133,
        4.711194563322493,
        4.711214393853656,
        4.71123422438482,
        4.711254054915984,
        4.711273885447148,
        4.711293715978312,
        4.7113135465094755,
        4.7113333770406385,
        4.711353207571802,
        4.711373038102966,
        4.71139286863413,
        4.711412699165294,
        4.711432529696457,
        4.711452360227621,
        4.711472190758784,
        4.711492021289947,
        4.711511851821111,
        4.711531682352275,
        4.711551512883438,
        4.711571343414602,
        4.711591173945766,
        4.7116110044769295,
        4.711630835008093,
        4.711650665539256,
        4.71167049607042,
        4.711690326601584,
        4.711710157132747,
        4.711729987663911,
        4.7117498181950745,
        4.7117696487262375,
        4.711789479257401,
        4.711809309788564,
        4.711829140319729,
        4.711848970850893,
        4.711868801382056,
        4.7118886319132205,
        4.711908462444384,
        4.711928292975547,
        4.711948123506711,
        4.711967954037875,
        4.711987784569038,
        4.712007615100202,
        4.712027445631365,
        4.712047276162529,
        4.712067106693693,
        4.712086937224856,
        4.71210676775602,
        4.712126598287184,
        4.712146428818347,
        4.712166259349511,
        4.7121860898806744,
        4.712205920411837,
        4.712225750943001,
        4.712245581474164,
        4.712265412005329,
        4.712285242536493,
        4.712305073067656,
        4.7123249035988195,
        4.712344734129983,
        4.712364564661146,
        4.71238439519231,
        4.712404225723474,
        4.712443886785801,
        4.712463717316965,
        4.712483547848128,
        4.712503378379293,
        4.712523208910456,
        4.71254303944162,
        4.712562869972784,
        4.712582700503947,
        4.7126025310351105,
        4.712622361566274,
        4.712642192097437,
        4.712662022628601,
        4.712681853159765,
        4.712701683690928,
        4.712721514222093,
        4.712741344753256,
        4.712761175284419,
        4.712781005815583,
        4.712800836346746,
        4.71282066687791,
        4.712840497409074,
        4.712860327940237,
        4.712880158471401,
        4.7128999890025645,
        4.712919819533727,
        4.712939650064892,
        4.712959480596055,
        4.712979311127219,
        4.712999141658383,
        4.713018972189546,
        4.7130388027207095,
        4.713058633251873,
        4.713078463783036,
        4.7130982943142,
        4.713118124845365,
        4.713137955376528,
        4.7131577859076925,
        4.7131776164388555,
        4.713197446970019,
        4.713217277501183,
        4.713237108032346,
        4.71325693856351,
        4.713276769094674,
        4.713296599625837,
        4.7133164301570005,
        4.713336260688164,
        4.713356091219327,
        4.713375921750492,
        4.713395752281655,
        4.713415582812819,
        4.713435413343983,
        4.713455243875146,
        4.713475074406309,
        4.713494904937473,
        4.713514735468636,
        4.7135345659998,
        4.713554396530964,
        4.713574227062127,
        4.713594057593291,
        4.7136138881244545,
        4.713633718655618,
        4.713653549186782,
        4.713673379717945,
        4.713693210249109,
        4.713713040780273,
        4.713732871311437,
        4.7137527018426,
        4.713772532373764,
        4.713792362904927,
        4.713812193436091,
        4.713832023967256,
        4.713851854498419,
        4.7138716850295825,
        4.7138915155607455,
        4.713911346091909,
        4.713931176623073,
        4.713951007154236,
        4.7139708376854,
        4.713990668216564,
        4.714010498747727,
        4.7140303292788905,
        4.714050159810055,
        4.714069990341218,
        4.714089820872382,
        4.714109651403545,
        4.714129481934709,
        4.714149312465873,
        4.714169142997036,
        4.714188973528199,
        4.714208804059363,
        4.714228634590526,
        4.71424846512169,
        4.714268295652854,
        4.714288126184018,
        4.7143079567151815,
        4.7143277872463445,
        4.714347617777508,
        4.714367448308673,
        4.714387278839836,
        4.714407109371,
        4.714426939902164,
        4.714446770433327,
        4.71446660096449,
        4.714486431495654,
        4.714506262026818,
        4.714526092557982,
        4.714545923089145,
        4.714565753620309,
        4.7145855841514726,
        4.7146054146826355,
        4.714625245213799,
        4.714645075744963,
        4.714664906276126,
        4.71468473680729,
        4.714704567338454,
        4.714724397869618,
        4.7147442284007814,
        4.714764058931944,
        4.714783889463108,
        4.714803719994272,
        4.714823550525435,
        4.714843381056599,
        4.714863211587763,
        4.714883042118926,
        4.7149028726500894,
        4.714922703181253,
        4.714942533712417,
        4.714962364243581,
        4.714982194774745,
        4.715002025305909,
        4.7150218558370725,
        4.715041686368235,
        4.715061516899399,
        4.715081347430563,
        4.715101177961726,
        4.71512100849289,
        4.715140839024054,
        4.7151606695552175,
        4.715180500086381,
        4.715200330617545,
        4.715220161148708,
        4.715239991679872,
        4.715259822211035,
        4.715279652742199,
        4.715299483273363,
        4.7153193138045255,
        4.715339144335689,
        4.715358974866853,
        4.715378805398016,
        4.715398635929181,
        4.715418466460345,
        4.715438296991508,
        4.7154581275226715,
        4.715477958053834,
        4.715497788584998,
        4.715517619116162,
        4.715537449647325,
        4.715557280178489,
        4.715577110709653,
        4.7155969412408165,
        4.715616771771981,
        4.715636602303145,
        4.715656432834308,
        4.715676263365472,
        4.715696093896635,
        4.715715924427799,
        4.7157357549589625,
        4.715755585490125,
        4.715775416021289,
        4.715795246552453,
        4.715815077083616,
        4.715834907614781,
        4.715854738145945,
        4.7158745686771075,
        4.715894399208271,
        4.715914229739434,
        4.715934060270598,
        4.715953890801762,
        4.715973721332925,
        4.715993551864089,
        4.716013382395253,
        4.7160332129264155,
        4.716053043457579,
        4.716072873988744,
        4.716092704519907,
        4.716112535051071,
        4.716132365582234,
        4.716152196113398,
        4.7161720266445615,
        4.716191857175724,
        4.716211687706889,
        4.716231518238053,
        4.716251348769216,
        4.71627117930038,
        4.7162910098315445,
        4.716310840362707,
        4.716330670893871,
        4.716350501425034,
        4.716370331956198,
        4.716390162487362,
        4.716409993018525,
        4.716429823549689,
        4.7164496540808525,
        4.716469484612015,
        4.716489315143179,
        4.716509145674344,
        4.716528976205507,
        4.716548806736671,
        4.716568637267834,
        4.7165884677989975,
        4.716608298330161,
        4.716628128861324,
        4.716647959392488,
        4.716667789923652,
        4.716687620454815,
        4.716707450985979,
        4.7167272815171435,
        4.716747112048306,
        4.71676694257947,
        4.716786773110634,
        4.716806603641797,
        4.716826434172962,
        4.716846264704125,
        4.7168660952352885,
        4.716885925766452,
        4.716905756297615,
        4.716925586828779,
        4.716945417359943,
        4.716965247891107,
        4.716985078422271,
        4.7170049089534345,
        4.717024739484597,
        4.717044570015761,
        4.717064400546924,
        4.717084231078088,
        4.717104061609252,
        4.717123892140415,
        4.717143722671579,
        4.7171635532027425,
        4.717183383733906,
        4.7173122821864695,
        4.717480841701361,
        4.717500672232524,
        4.717520502763688,
        4.717540333294852,
        4.717560163826015,
        4.717579994357179,
        4.717599824888342,
        4.717619655419506,
        4.71763948595067,
        4.717659316481834,
        4.717679147012997,
        4.717698977544161,
        4.717718808075324,
        4.7177386386064875,
        4.717758469137651,
        4.717778299668814,
        4.717798130199978,
        4.717817960731142,
        4.717837791262305,
        4.71785762179347,
        4.717877452324633,
        4.717897282855796,
        4.71791711338696,
        4.717936943918123,
        4.717956774449287,
        4.717976604980451,
        4.717996435511614,
        4.718016266042778,
        4.718036096573941,
        4.718055927105104,
        4.71807575763627,
        4.718095588167434,
        4.718115418698597,
        4.718135249229761,
        4.718155079760924,
        4.718174910292087,
        4.718254232416742,
        4.718274062947905,
        4.7182938934790695,
        4.718313724010233,
        4.718333554541396,
        4.71835338507256,
        4.718373215603724,
        4.718393046134887,
        4.718412876666051,
        4.718432707197214,
        4.7184525377283775,
        4.718472368259541,
        4.718492198790704,
        4.718512029321868,
        4.718531859853033,
        4.718551690384196,
        4.71857152091536,
        4.718591351446523,
        4.718611181977686,
        4.71863101250885,
        4.718650843040013,
        4.718670673571177,
        4.718690504102342,
        4.718710334633505,
        4.7187301651646685,
        4.718749995695833,
        4.718769826226996,
        4.71878965675816,
        4.718809487289324,
        4.718829317820487,
        4.718849148351651,
        4.7188689788828135,
        4.718888809413977,
        4.718908639945141,
        4.718928470476304,
        4.718948301007468,
        4.718968131538633,
        4.718987962069796,
        4.7190077926009595,
        4.719027623132123,
        4.719047453663286,
        4.71906728419445,
        4.719087114725613,
        4.719106945256777,
        4.719126775787941,
        4.719146606319104,
        4.7191664368502675,
        4.719186267381432,
        4.719206097912595,
        4.719225928443759,
        4.719245758974923,
        4.719265589506086,
        4.71928542003725,
        4.719305250568413,
        4.719325081099577,
        4.719344911630741,
        4.719364742161904,
        4.719384572693068,
        4.719404403224233,
        4.7194242337553955,
        4.719444064286559,
        4.719463894817723,
        4.719483725348886,
        4.71950355588005,
        4.719523386411214,
        4.719543216942377,
        4.719563047473541,
        4.7195828780047036,
        4.719602708535867,
        4.719622539067031,
        4.719642369598195,
        4.719662200129359,
        4.719682030660523,
        4.719701861191686,
        4.7197216917228495,
        4.719741522254013,
        4.719761352785176,
        4.71978118331634,
        4.719801013847503,
        4.719820844378667,
        4.719840674909831,
        4.719860505440995,
        4.719880335972158,
        4.719900166503322,
        4.719919997034486,
        4.71993982756565,
        4.719959658096814,
        4.719979488627977,
        4.7199993191591405,
        4.7200191496903035,
        4.720038980221467,
        4.720058810752631,
        4.720078641283795,
        4.720098471814959,
        4.720118302346123,
        4.720138132877286,
        4.720157963408449,
        4.720177793939613,
        4.720197624470776,
        4.72021745500194,
        4.720237285533103,
        4.720257116064267,
        4.720276946595431,
        4.720296777126594,
        4.720316607657758,
        4.720336438188922,
        4.720356268720085,
        4.720376099251249,
        4.720395929782413,
        4.720415760313576,
        4.7204355908447395,
        4.7204554213759025,
        4.720475251907066,
        4.72049508243823,
        4.720514912969393,
        4.720534743500559,
        4.7205545740317225,
        4.7205744045628855,
        4.720594235094049,
        4.720614065625213,
        4.720633896156376,
        4.72065372668754,
        4.720673557218703,
        4.720693387749867,
        4.7207132182810305,
        4.7207330488121935,
        4.720752879343358,
        4.720772709874522,
        4.720792540405685,
        4.720812370936849,
        4.720832201468013,
        4.720852031999176,
        4.720871862530339,
        4.720891693061503,
        4.720911523592666,
        4.72093135412383,
        4.720951184654993,
        4.720971015186158,
        4.7209908457173215,
        4.7210106762484845,
        4.721030506779648,
        4.721050337310812,
        4.721070167841975,
        4.721089998373139,
        4.721109828904303,
        4.721129659435466,
        4.7211494899666295,
        4.721169320497793,
        4.721189151028957,
        4.721208981560122,
        4.721228812091285,
        4.721248642622449,
        4.7212684731536125,
        4.7212883036847755,
        4.721308134215939,
        4.721327964747103,
        4.721347795278266,
        4.72136762580943,
        4.721387456340593,
        4.721407286871757,
        4.721427117402921,
        4.721446947934084,
        4.721466778465248,
        4.721486608996412,
        4.721506439527575,
        4.721526270058739,
        4.721546100589903,
        4.721565931121066,
        4.721585761652229,
        4.721605592183392,
        4.721625422714556,
        4.721645253245721,
        4.721665083776884,
        4.721684914308048,
        4.7217047448392115,
        4.7217245753703745,
        4.721744405901538,
        4.721764236432702,
        4.721784066963866,
        4.72180389749503,
        4.721823728026193,
        4.721843558557357,
        4.721863389088521,
        4.721883219619684,
        4.721903050150848,
        4.721922880682012,
        4.721942711213175,
        4.721962541744339,
        4.7219823722755025,
        4.7220022028066655,
        4.722022033337829,
        4.722041863868992,
        4.722061694400156,
        4.72208152493132,
        4.722101355462484,
        4.722121185993648,
        4.722141016524811,
        4.722160847055974,
        4.722180677587138,
        4.722200508118302,
        4.722220338649465,
        4.722240169180629,
        4.722259999711793,
        4.722279830242956,
        4.7222996607741194,
        4.722319491305283,
        4.722339321836447,
        4.722359152367611,
        4.722378982898774,
        4.722398813429939,
        4.7224186439611024,
        4.722438474492265,
        4.722458305023429,
        4.722478135554593,
        4.722497966085756,
        4.72251779661692,
        4.722537627148084,
        4.7225574576792475,
        4.722577288210411,
        4.722597118741574,
        4.722616949272738,
        4.722636779803902,
        4.722656610335065,
        4.722676440866229,
        4.722696271397393,
        4.7227161019285555,
        4.722735932459719,
        4.722755762990882,
        4.722775593522047,
        4.722795424053211,
        4.722815254584374,
        4.722835085115538,
        4.7228549156467015,
        4.722874746177864,
        4.722894576709028,
        4.722914407240192,
        4.722934237771355,
        4.722954068302519,
        4.722973898833682,
        4.7229937293648465,
        4.723013559896011,
        4.723033390427174,
        4.723053220958338,
        4.723073051489502,
        4.723092882020665,
        4.723112712551829,
        4.7231325430829925,
        4.723152373614155,
        4.723172204145319,
        4.723192034676482,
        4.723211865207647,
        4.723231695738811,
        4.723251526269974,
        4.7232713568011375,
        4.723291187332301,
        4.723311017863464,
        4.723330848394628,
        4.723350678925792,
        4.723370509456955,
        4.723390339988119,
        4.723410170519282,
        4.723430001050446,
        4.72344983158161,
        4.723469662112773,
        4.723489492643937,
        4.723509323175101,
        4.723529153706264,
        4.723548984237428,
        4.7235688147685915,
        4.723588645299754,
        4.723608475830918,
        4.723628306362083,
        4.723648136893247,
        4.723667967424411,
        4.723687797955574,
        4.723707628486737,
        4.723727459017901,
        4.723747289549064,
        4.723767120080228,
        4.723786950611392,
        4.723806781142555,
        4.723826611673719,
        4.7238464422048825,
        4.723866272736045,
        4.72388610326721,
        4.723905933798373,
        4.723925764329537,
        4.723945594860701,
        4.723965425391864,
        4.7239852559230275,
        4.724005086454191,
        4.724024916985354,
        4.724044747516518,
        4.724064578047682,
        4.724084408578845,
        4.72410423911001,
        4.724124069641173,
        4.724143900172336,
        4.7241637307035,
        4.724183561234663,
        4.724203391765827,
        4.724223222296991,
        4.724243052828155,
        4.7242628833593185,
        4.724282713890482,
        4.724302544421645,
        4.72432237495281,
        4.724342205483973,
        4.724362036015137,
        4.724381866546301,
        4.724401697077464,
        4.724421527608627,
        4.724441358139791,
        4.724461188670954,
        4.724481019202118,
        4.724500849733282,
        4.724520680264445,
        4.724540510795609,
        4.7245603413267725,
        4.724580171857936,
        4.7246000023891,
        4.724619832920263,
        4.724639663451427,
        4.724659493982591,
        4.724679324513754,
        4.7246991550449176,
        4.724718985576081,
        4.724738816107244,
        4.724758646638408,
        4.724778477169572,
        4.724798307700736,
        4.7248181382319,
        4.724837968763063,
        4.724857799294227,
        4.724877629825391,
        4.724897460356554,
        4.724917290887718,
        4.724937121418882,
        4.724956951950045,
        4.724976782481209,
        4.724996613012372,
        4.725016443543536,
        4.7250362740747,
        4.725056104605863,
        4.725075935137027,
        4.725095765668191,
        4.725115596199354,
        4.7251354267305175,
        4.725155257261681,
        4.725175087792844,
        4.725194918324008,
        4.725214748855173,
        4.725234579386336,
        4.7252544099175,
        4.7252742404486625,
        4.725294070979826,
        4.72531390151099,
        4.725333732042153,
        4.725353562573317,
        4.725373393104481,
        4.725393223635644,
        4.725413054166808,
        4.725432884697971,
        4.725452715229135,
        4.7254725457603,
        4.725492376291463,
        4.725512206822627,
        4.725532037353791,
        4.7255518678849535,
        4.725571698416117,
        4.725591528947281,
        4.725611359478444,
        4.725631190009608,
        4.725651020540772,
        4.725670851071936,
        4.7256906816030995,
        4.725710512134262,
        4.725730342665426,
        4.72575017319659,
        4.725770003727753,
        4.725789834258917,
        4.725809664790081,
        4.725829495321244,
        4.7258493258524075,
        4.725869156383571,
        4.725888986914735,
        4.725908817445899,
        4.725928647977062,
        4.725948478508226,
        4.72596830903939,
        4.7259881395705525,
        4.726007970101716,
        4.72602780063288,
        4.726047631164043,
        4.726067461695207,
        4.726087292226371,
        4.7261071227575355,
        4.726126953288699,
        4.726146783819862,
        4.726166614351026,
        4.72618644488219,
        4.726206275413353,
        4.726226105944517,
        4.726325258600335,
        4.726503733380807,
        4.726523563911971,
        4.726543394443134,
        4.726563224974298,
        4.726583055505462,
        4.726602886036625,
        4.726622716567789,
        4.726642547098952,
        4.726662377630116,
        4.72668220816128,
        4.7267020386924425,
        4.726721869223607,
        4.726741699754771,
        4.726761530285934,
        4.726781360817099,
        4.726801191348263,
        4.7268210218794255,
        4.726840852410589,
        4.726860682941752,
        4.726880513472916,
        4.72690034400408,
        4.726920174535243,
        4.726940005066407,
        4.726959835597571,
        4.7269796661287335,
        4.726999496659897,
        4.727019327191062,
        4.727039157722225,
        4.727058988253389,
        4.727078818784552,
        4.727098649315716,
        4.7271184798468795,
        4.727138310378042,
        4.727158140909206,
        4.72717797144037,
        4.727197801971533,
        4.727217632502697,
        4.727237463033862,
        4.7272572935650246,
        4.727277124096188,
        4.727296954627351,
        4.727316785158515,
        4.72733661568968,
        4.727356446220843,
        4.727376276752007,
        4.7273961072831705,
        4.7274159378143334,
        4.727435768345497,
        4.727455598876662,
        4.727475429407825,
        4.727495259938989,
        4.727515090470152,
        4.727534921001316,
        4.72772331104737,
        4.728030684280406,
        4.72805051481157,
        4.728070345342733,
        4.728090175873897,
        4.7281100064050605,
        4.728129836936224,
        4.728149667467388,
        4.728169497998552,
        4.728189328529715,
        4.728209159060879,
        4.728228989592042,
        4.728248820123206,
        4.728268650654369,
        4.728288481185532,
        4.728308311716696,
        4.72832814224786,
        4.728347972779024,
        4.728367803310188,
        4.7283876338413515,
        4.7284074643725145,
        4.728427294903678,
        4.728447125434841,
        4.728466955966005,
        4.728486786497169,
        4.728506617028332,
        4.728526447559496,
        4.7285462780906595,
        4.7285661086218225,
        4.728585939152988,
        4.728605769684152,
        4.728625600215315,
        4.728645430746479,
        4.728665261277642,
        4.7286850918088055,
        4.728704922339969,
        4.728724752871132,
        4.728744583402296,
        4.72876441393346,
        4.728784244464623,
        4.728804074995788,
        4.728823905526951,
        4.728843736058114,
        4.728863566589278,
        4.728883397120441,
        4.728903227651605,
        4.728923058182769,
        4.728942888713932,
        4.728962719245096,
        4.728982549776259,
        4.729002380307422,
        4.729022210838587,
        4.7291213634944045,
        4.729141194025568,
        4.729161024556731,
        4.729180855087895,
        4.72920068561906,
        4.729220516150223,
        4.7292403466813875,
        4.729260177212551,
        4.729280007743714,
        4.729299838274878,
        4.729319668806042,
        4.729339499337205,
        4.729359329868369,
        4.729379160399532,
        4.7293989909306955,
        4.729418821461859,
        4.729438651993022,
        4.729458482524187,
        4.729478313055351,
        4.729498143586514,
        4.729517974117678,
        4.729537804648841,
        4.729557635180004,
        4.729577465711168,
        4.729597296242331,
        4.729617126773495,
        4.729636957304659,
        4.729656787835822,
        4.729676618366986,
        4.72969644889815,
        4.729716279429313,
        4.729736109960477,
        4.729755940491641,
        4.729775771022804,
        4.729795601553968,
        4.7298154320851316,
        4.729835262616295,
        4.729855093147459,
        4.729874923678622,
        4.729894754209786,
        4.729914584740951,
        4.729934415272114,
        4.7299542458032775,
        4.729974076334441,
        4.729993906865604,
        4.730013737396768,
        4.730033567927931,
        4.730053398459095,
        4.730073228990259,
        4.730093059521422,
        4.7301128900525855,
        4.73013272058375,
        4.730152551114913,
        4.730172381646077,
        4.730192212177241,
        4.730212042708404,
        4.730231873239568,
        4.730251703770731,
        4.730271534301894,
        4.730291364833058,
        4.730311195364221,
        4.730331025895385,
        4.730350856426549,
        4.730370686957713,
        4.7303905174888765,
        4.73041034802004,
        4.730430178551204,
        4.730450009082368,
        4.730469839613531,
        4.730489670144695,
        4.730509500675859,
        4.730529331207022,
        4.730549161738185,
        4.730568992269349,
        4.730588822800513,
        4.730608653331677,
        4.730628483862841,
        4.730648314394004,
        4.7306681449251675,
        4.730687975456331,
        4.730707805987494,
        4.730727636518658,
        4.730747467049821,
        4.730767297580985,
        4.730787128112149,
        4.730806958643313,
        4.730826789174476,
        4.73084661970564,
        4.730866450236803,
        4.730886280767967,
        4.730906111299131,
        4.730925941830294,
        4.730945772361458,
        4.730965602892621,
        4.730985433423784,
        4.731005263954948,
        4.731025094486112,
        4.731044925017277,
        4.731064755548441,
        4.731084586079604,
        4.731104416610767,
        4.731124247141931,
        4.731144077673094,
        4.731163908204258,
        4.731183738735421,
        4.731203569266585,
        4.731223399797749,
        4.731243230328912,
        4.731263060860076,
        4.73128289139124,
        4.731302721922403,
        4.731322552453567,
        4.731342382984731,
        4.731362213515894,
        4.7313820440470575,
        4.7314018745782205,
        4.731421705109384,
        4.731441535640548,
        4.731461366171711,
        4.731481196702876,
        4.73150102723404,
        4.731520857765203,
        4.731540688296366,
        4.73156051882753,
        4.731580349358693,
        4.731600179889857,
        4.73162001042102,
        4.731639840952184,
        4.7316596714833485,
        4.7316795020145115,
        4.731699332545676,
        4.73171916307684,
        4.731738993608003,
        4.731758824139167,
        4.731778654670331,
        4.731798485201494,
        4.731818315732657,
        4.73183814626382,
        4.731857976794984,
        4.731877807326148,
        4.731897637857311,
        4.731917468388476,
        4.7319372989196395,
        4.7319571294508025,
        4.731976959981966,
        4.73199679051313,
        4.732016621044293,
        4.732036451575457,
        4.732056282106621,
        4.732076112637784,
        4.7320959431689475,
        4.7321157737001105,
        4.732135604231274,
        4.732155434762439,
        4.732175265293602,
        4.732195095824766,
        4.73221492635593,
        4.732234756887093,
        4.732254587418256,
        4.73227441794942,
        4.732294248480584,
        4.732314079011748,
        4.732333909542911,
        4.732353740074075,
        4.732373570605239,
        4.732393401136402,
        4.732413231667566,
        4.73243306219873,
        4.732452892729893,
        4.732472723261057,
        4.732492553792221,
        4.732512384323384,
        4.7325322148545474,
        4.73255204538571,
        4.732571875916874,
        4.732591706448039,
        4.732611536979202,
        4.732631367510366,
        4.73265119804153,
        4.7326710285726925,
        4.732690859103856,
        4.73271068963502,
        4.732730520166183,
        4.732750350697347,
        4.73277018122851,
        4.732790011759674,
        4.732809842290838,
        4.732829672822001,
        4.732849503353165,
        4.732869333884329,
        4.732889164415493,
        4.732908994946657,
        4.732928825477821,
        4.7329486560089835,
        4.732968486540147,
        4.73298831707131,
        4.733008147602474,
        4.733027978133638,
        4.733047808664802,
        4.733067639195966,
        4.7330874697271295,
        4.733107300258292,
        4.733127130789456,
        4.73314696132062,
        4.733166791851783,
        4.733186622382947,
        4.73320645291411,
        4.733226283445274,
        4.7332461139764375,
        4.733265944507601,
        4.733285775038765,
        4.733305605569929,
        4.733325436101092,
        4.733345266632256,
        4.73336509716342,
        4.7333849276945825,
        4.733404758225746,
        4.733424588756909,
        4.733444419288073,
        4.733464249819237,
        4.733484080350401,
        4.733503910881565,
        4.733523741412729,
        4.733543571943892,
        4.733563402475056,
        4.73358323300622,
        4.733603063537383,
        4.733622894068547,
        4.733642724599711,
        4.7336625551308735,
        4.733682385662037,
        4.733702216193201,
        4.733722046724365,
        4.733741877255529,
        4.733761707786692,
        4.733781538317856,
        4.7338013688490195,
        4.733821199380182,
        4.733841029911346,
        4.73386086044251,
        4.733880690973673,
        4.733900521504837,
        4.733920352036,
        4.7339401825671645,
        4.733960013098328,
        4.733979843629491,
        4.733999674160655,
        4.734019504691819,
        4.734039335222982,
        4.734059165754146,
        4.73407899628531,
        4.7340988268164725,
        4.734118657347636,
        4.7341384878788,
        4.734158318409965,
        4.734178148941129,
        4.734197979472292,
        4.7342178100034555,
        4.734237640534619,
        4.734257471065782,
        4.734277301596946,
        4.73429713212811,
        4.734316962659273,
        4.734336793190437,
        4.7343566237216,
        4.734376454252764,
        4.734396284783928,
        4.734416115315091,
        4.734435945846255,
        4.734455776377419,
        4.734475606908582,
        4.734495437439746,
        4.7345152679709095,
        4.734535098502072,
        4.734554929033236,
        4.734574759564399,
        4.734594590095563,
        4.734614420626728,
        4.734634251157891,
        4.7346540816890545,
        4.734673912220218,
        4.734693742751381,
        4.734713573282545,
        4.734733403813709,
        4.734753234344873,
        4.734773064876037,
        4.7347928954072,
        4.734812725938363,
        4.734832556469528,
        4.734852387000691,
        4.734872217531855,
        4.734892048063019,
        4.734911878594182,
        4.7349317091253456,
        4.734951539656509,
        4.734971370187672,
        4.734991200718836,
        4.73501103125,
        4.735030861781163,
        4.735050692312328,
        4.735070522843491,
        4.7350903533746544,
        4.735110183905818,
        4.735130014436981,
        4.735149844968145,
        4.735169675499309,
        4.735189506030472,
        4.735209336561636,
        4.7352291670927995,
        4.7352489976239625,
        4.735268828155127,
        4.73528865868629,
        4.735308489217454,
        4.735328319748618,
        4.735348150279781,
        4.7353679808109455,
        4.735387811342109,
        4.735407641873272,
        4.735625777716072,
        4.735645608247236,
        4.735665438778399,
        4.735685269309562,
        4.735705099840726,
        4.73572493037189,
        4.735744760903054,
        4.735764591434218,
        4.735784421965381,
        4.7358042524965445,
        4.735824083027708,
        4.735843913558871,
        4.735863744090035,
        4.735883574621199,
        4.735903405152362,
        4.735923235683526,
        4.7359430662146895,
        4.735962896745853,
        4.735982727277017,
        4.736002557808181,
        4.736022388339345,
        4.736042218870509,
        4.736062049401672,
        4.7360818799328355,
        4.736101710463999,
        4.736121540995162,
        4.736141371526326,
        4.73616120205749,
        4.736181032588654,
        4.736200863119818,
        4.7362206936509805,
        4.736240524182144,
        4.736260354713308,
        4.736280185244471,
        4.736300015775635,
        4.736319846306799,
        4.736339676837962,
        4.736359507369126,
        4.736379337900289,
        4.736399168431453,
        4.736418998962617,
        4.73643882949378,
        4.736458660024944,
        4.736478490556108,
        4.736498321087271,
        4.7365181516184345,
        4.736537982149598,
        4.736557812680761,
        4.736577643211925,
        4.736597473743089,
        4.736617304274254,
        4.7366371348054175,
        4.73665696533658,
        4.736676795867744,
        4.736696626398908,
        4.736716456930071,
        4.736736287461235,
        4.736756117992399,
        4.736775948523562,
        4.7367957790547255,
        4.736815609585889,
        4.736835440117053,
        4.736855270648217,
        4.73687510117938,
        4.736894931710544,
        4.736914762241708,
        4.7369345927728705,
        4.736954423304034,
        4.736974253835198,
        4.736994084366361,
        4.737013914897525,
        4.737033745428689,
        4.737053575959852,
        4.7370734064910165,
        4.737093237022179,
        4.737113067553343,
        4.737132898084507,
        4.73715272861567,
        4.737172559146834,
        4.737192389677998,
        4.737212220209161,
        4.737232050740325,
        4.737251881271489,
        4.737271711802652,
        4.737291542333817,
        4.73731137286498,
        4.737331203396144,
        4.7373510339273075,
        4.73737086445847,
        4.737390694989634,
        4.737410525520798,
        4.737430356051961,
        4.737450186583125,
        4.737470017114289,
        4.737489847645452,
        4.737509678176616,
        4.737529508707779,
        4.737549339238943,
        4.737569169770107,
        4.73758900030127,
        4.737608830832434,
        4.737628661363598,
        4.737648491894761,
        4.737668322425924,
        4.737688152957088,
        4.737707983488251,
        4.737727814019416,
        4.73774764455058,
        4.737767475081743,
        4.7377873056129065,
        4.7378071361440695,
        4.737826966675233,
        4.737846797206398,
        4.737866627737561,
        4.737886458268725,
        4.737906288799889,
        4.737926119331052,
        4.737945949862216,
        4.73796578039338,
        4.737985610924543,
        4.738005441455707,
        4.73802527198687,
        4.738045102518034,
        4.7380649330491975,
        4.7380847635803605,
        4.738104594111524,
        4.738124424642688,
        4.738144255173851,
        4.738164085705015,
        4.73818391623618,
        4.738203746767343,
        4.738223577298506,
        4.738243407829669,
        4.738263238360833,
        4.738283068891997,
        4.73830289942316,
        4.738322729954324,
        4.738342560485488,
        4.738362391016651,
        4.738382221547814,
        4.738402052078979,
        4.738421882610142,
        4.738441713141306,
        4.73846154367247,
        4.738481374203634,
        4.738501204734797,
        4.73852103526596,
        4.738540865797124,
        4.738560696328288,
        4.738580526859451,
        4.738600357390615,
        4.7386201879217795,
        4.7386400184529425,
        4.738659848984106,
        4.738679679515269,
        4.738699510046433,
        4.738719340577597,
        4.73873917110876,
        4.738759001639924,
        4.7387788321710875,
        4.7387986627022505,
        4.738818493233414,
        4.738838323764578,
        4.738858154295742,
        4.738877984826906,
        4.738897815358069,
        4.738917645889233,
        4.738937476420396,
        4.738957306951559,
        4.738977137482723,
        4.738996968013887,
        4.73901679854505,
        4.739036629076214,
        4.739056459607378,
        4.739076290138542,
        4.739096120669706,
        4.73911595120087,
        4.739135781732033,
        4.739155612263197,
        4.73917544279436,
        4.739195273325524,
        4.739215103856687,
        4.73923493438785,
        4.739254764919014,
        4.739274595450178,
        4.739294425981342,
        4.739314256512506,
        4.7393340870436695,
        4.7393539175748325,
        4.739373748105996,
        4.739393578637159,
        4.739413409168323,
        4.739433239699487,
        4.73945307023065,
        4.739472900761814,
        4.7394927312929775,
        4.739512561824141,
        4.739532392355305,
        4.739552222886469,
        4.739572053417632,
        4.739591883948796,
        4.739611714479959,
        4.739631545011123,
        4.739651375542286,
        4.739710867135778,
        4.739730697666941,
        4.739750528198106,
        4.739770358729269,
        4.739790189260432,
        4.739810019791596,
        4.739829850322759,
        4.739849680853923,
        4.739869511385087,
        4.73988934191625,
        4.739909172447414,
        4.739929002978577,
        4.73994883350974,
        4.739968664040905,
        4.739988494572069,
        4.740008325103232,
        4.740028155634396,
        4.740047986165559,
        4.7400678166967225,
        4.740087647227886,
        4.740107477759049,
        4.740127308290213,
        4.740147138821377,
        4.74016696935254,
        4.740186799883705,
        4.7402066304148684,
        4.740226460946031,
        4.740246291477195,
        4.740266122008358,
        4.740285952539522,
        4.740305783070686,
        4.74032561360185,
        4.7403454441330135,
        4.740365274664177,
        4.74038510519534,
        4.740404935726505,
        4.740424766257669,
        4.740444596788832,
        4.740464427319996,
        4.740484257851159,
        4.740504088382322,
        4.740523918913486,
        4.740543749444649,
        4.740563579975813,
        4.740583410506977,
        4.74060324103814,
        4.740623071569304,
        4.740642902100468,
        4.740662732631631,
        4.740682563162795,
        4.740702393693959,
        4.740722224225122,
        4.740742054756286,
        4.740761885287449,
        4.7407817158186125,
        4.740801546349776,
        4.740821376880939,
        4.740841207412103,
        4.740861037943268,
        4.740880868474431,
        4.740900699005595,
        4.7409205295367585,
        4.740940360067922,
        4.740960190599086,
        4.740980021130249,
        4.740999851661413,
        4.741019682192577,
        4.74103951272374,
        4.7410593432549035,
        4.741079173786068,
        4.741099004317231,
        4.741118834848395,
        4.741138665379559,
        4.741158495910722,
        4.741178326441886,
        4.741198156973049,
        4.741217987504212,
        4.741237818035376,
        4.741257648566539,
        4.741277479097703,
        4.741297309628867,
        4.741317140160031,
        4.7413369706911945,
        4.741356801222358,
        4.741376631753521,
        4.741396462284685,
        4.741416292815848,
        4.741436123347012,
        4.741455953878176,
        4.741475784409339,
        4.7414956149405025,
        4.741515445471666,
        4.74153527600283,
        4.741555106533995,
        4.741574937065159,
        4.741594767596322,
        4.7416145981274855,
        4.7416344286586485,
        4.741654259189812,
        4.741674089720976,
        4.741693920252139,
        4.741713750783303,
        4.741733581314467,
        4.741753411845631,
        4.741773242376794,
        4.741793072907958,
        4.741812903439121,
        4.741832733970285,
        4.741852564501448,
        4.741872395032612,
        4.741892225563776,
        4.741912056094939,
        4.741931886626102,
        4.741951717157266,
        4.74197154768843,
        4.741991378219594,
        4.742011208750758,
        4.742031039281921,
        4.7420508698130845,
        4.742070700344248,
        4.742090530875411,
        4.742110361406575,
        4.742130191937738,
        4.742150022468902,
        4.742169853000067,
        4.7421896835312305,
        4.742209514062394,
        4.742229344593558,
        4.742249175124721,
        4.742269005655885,
        4.742288836187049,
        4.742308666718212,
        4.7423284972493756,
        4.7423483277805385,
        4.742368158311702,
        4.742387988842866,
        4.742407819374029,
        4.742427649905194,
        4.742447480436358,
        4.742467310967521,
        4.7424871414986844,
        4.742506972029848,
        4.742526802561011,
        4.742546633092175,
        4.742566463623338,
        4.742586294154502,
        4.742606124685666,
        4.742625955216829,
        4.742645785747993,
        4.742665616279157,
        4.74268544681032,
        4.742705277341484,
        4.742725107872648,
        4.742744938403811,
        4.742764768934975,
        4.742784599466138,
        4.742804429997302,
        4.742824260528466,
        4.742844091059629,
        4.742863921590794,
        4.742883752121958,
        4.7429035826531205,
        4.742923413184284,
        4.742943243715448,
        4.742963074246611,
        4.742982904777775,
        4.743002735308938,
        4.743022565840102,
        4.743042396371266,
        4.7430622269024285,
        4.743082057433592,
        4.743101887964757,
        4.74312171849592,
        4.743141549027084,
        4.743161379558248,
        4.743181210089411,
        4.7432010406205745,
        4.743220871151737,
        4.743240701682901,
        4.743260532214065,
        4.743280362745228,
        4.743300193276392,
        4.743320023807557,
        4.7433398543387195,
        4.743359684869883,
        4.743379515401047,
        4.74339934593221,
        4.743419176463375,
        4.743439006994539,
        4.743458837525702,
        4.7434786680568655,
        4.743498498588028,
        4.743518329119192,
        4.743538159650357,
        4.74355799018152,
        4.743577820712684,
        4.743597651243848,
        4.7436174817750105,
        4.743637312306174,
        4.743657142837338,
        4.743676973368501,
        4.743696803899665,
        4.743716634430828,
        4.743736464961992,
        4.7437562954931565,
        4.743776126024319,
        4.743795956555483,
        4.743815787086647,
        4.74383561761781,
        4.743855448148974,
        4.743875278680138,
        4.743895109211301,
        4.7439149397424645,
        4.743934770273627,
        4.743954600804791,
        4.743974431335955,
        4.743994261867119,
        4.744014092398283,
        4.7440339229294475,
        4.74405375346061,
        4.744073583991774,
        4.744093414522938,
        4.744113245054101,
        4.744133075585265,
        4.744152906116428,
        4.744172736647592,
        4.7441925671787555,
        4.744212397709919,
        4.744232228241083,
        4.744252058772247,
        4.74427188930341,
        4.744291719834574,
        4.744311550365738,
        4.7443313808969005,
        4.744351211428064,
        4.744371041959227,
        4.744390872490391,
        4.744410703021555,
        4.744430533552719,
        4.744450364083883,
        4.7444701946150465,
        4.744490025146209,
        4.744509855677373,
        4.744529686208537,
        4.7445495167397,
        4.744569347270864,
        4.744589177802027,
        4.744658584661101,
        4.7448866357694826,
        4.744906466300646,
        4.744926296831809,
        4.744946127362973,
        4.744965957894137,
        4.7449857884253,
        4.745005618956464,
        4.745025449487628,
        4.745045280018791,
        4.745065110549954,
        4.745084941081117,
        4.745104771612282,
        4.745124602143446,
        4.745144432674609,
        4.745164263205773,
        4.7451840937369365,
        4.7452039242680994,
        4.745223754799263,
        4.745243585330427,
        4.745263415861591,
        4.745283246392755,
        4.745303076923918,
        4.7453229074550825,
        4.745342737986246,
        4.745362568517409,
        4.745382399048573,
        4.745402229579737,
        4.7454220601109,
        4.745441890642064,
        4.7454617211732275,
        4.7454815517043905,
        4.745501382235554,
        4.745521212766717,
        4.745541043297881,
        4.745560873829046,
        4.745580704360209,
        4.745600534891373,
        4.745620365422536,
        4.745640195953699,
        4.745660026484863,
        4.745679857016027,
        4.74569968754719,
        4.745719518078354,
        4.745739348609517,
        4.745759179140681,
        4.745779009671845,
        4.745798840203008,
        4.745818670734172,
        4.745838501265336,
        4.745858331796499,
        4.745878162327664,
        4.745897992858827,
        4.74591782338999,
        4.745937653921154,
        4.745957484452317,
        4.745977314983481,
        4.745997145514646,
        4.746016976045809,
        4.7460368065769725,
        4.746056637108136,
        4.746076467639299,
        4.746096298170463,
        4.746116128701627,
        4.74613595923279,
        4.746155789763954,
        4.7461756202951175,
        4.7461954508262805,
        4.746215281357445,
        4.746235111888608,
        4.746254942419772,
        4.746274772950936,
        4.746294603482099,
        4.746314434013263,
        4.746334264544426,
        4.746354095075589,
        4.746373925606753,
        4.746393756137917,
        4.74641358666908,
        4.746433417200244,
        4.746453247731408,
        4.7464730782625715,
        4.746492908793736,
        4.746512739324899,
        4.746532569856063,
        4.746552400387227,
        4.74657223091839,
        4.746592061449554,
        4.746611891980717,
        4.74663172251188,
        4.746651553043044,
        4.746671383574208,
        4.746691214105372,
        4.746711044636536,
        4.746730875167699,
        4.7467507056988625,
        4.746770536230026,
        4.746790366761189,
        4.746810197292353,
        4.746830027823517,
        4.74684985835468,
        4.746869688885844,
        4.7468895194170075,
        4.746909349948171,
        4.746929180479335,
        4.746949011010498,
        4.746968841541662,
        4.746988672072826,
        4.747008502603989,
        4.747028333135153,
        4.747048163666316,
        4.747067994197479,
        4.747087824728643,
        4.747107655259806,
        4.747127485790972,
        4.747147316322136,
        4.7471671468532985,
        4.747186977384462,
        4.747206807915626,
        4.747226638446789,
        4.747246468977953,
        4.747266299509117,
        4.74728613004028,
        4.747305960571444,
        4.7473257911026066,
        4.747345621633771,
        4.747365452164935,
        4.747385282696098,
        4.747405113227262,
        4.747424943758426,
        4.747444774289589,
        4.7474646048207525,
        4.747484435351916,
        4.747504265883079,
        4.747524096414243,
        4.747543926945407,
        4.747563757476571,
        4.747583588007735,
        4.747603418538898,
        4.747623249070061,
        4.747643079601225,
        4.747662910132388,
        4.747682740663552,
        4.747702571194716,
        4.74772240172588,
        4.7477422322570435,
        4.747762062788207,
        4.747781893319371,
        4.747801723850535,
        4.747821554381698,
        4.747841384912862,
        4.747861215444026,
        4.747881045975189,
        4.747900876506352,
        4.747920707037516,
        4.747940537568679,
        4.747960368099843,
        4.747980198631007,
        4.748000029162171,
        4.7480198596933345,
        4.7480396902244975,
        4.748059520755661,
        4.748079351286825,
        4.748099181817988,
        4.748119012349152,
        4.748138842880316,
        4.748158673411479,
        4.7481785039426425,
        4.748198334473806,
        4.748218165004969,
        4.748237995536134,
        4.748257826067297,
        4.748277656598461,
        4.748297487129625,
        4.748317317660788,
        4.748337148191951,
        4.748356978723116,
        4.748376809254279,
        4.748396639785443,
        4.748416470316607,
        4.74843630084777,
        4.748456131378934,
        4.748475961910097,
        4.748495792441261,
        4.748515622972425,
        4.748535453503588,
        4.748555284034752,
        4.748575114565916,
        4.748594945097079,
        4.748614775628242,
        4.748634606159406,
        4.748654436690569,
        4.748674267221734,
        4.748694097752897,
        4.748713928284061,
        4.7487337588152245,
        4.7487535893463875,
        4.748773419877551,
        4.748793250408715,
        4.748813080939878,
        4.748832911471042,
        4.748852742002206,
        4.748872572533369,
        4.7488924030645325,
        4.748912233595696,
        4.74893206412686,
        4.748951894658024,
        4.748971725189188,
        4.748991555720352,
        4.7490113862515155,
        4.7490312167826785,
        4.749051047313842,
        4.749070877845006,
        4.749090708376169,
        4.749110538907333,
        4.749130369438498,
        4.749150199969661,
        4.749170030500824,
        4.749189861031987,
        4.749209691563151,
        4.749229522094315,
        4.749249352625478,
        4.749269183156642,
        4.749289013687806,
        4.749308844218969,
        4.749328674750132,
        4.749348505281297,
        4.74936833581246,
        4.749388166343624,
        4.749407996874787,
        4.749427827405951,
        4.7494476579371145,
        4.7494674884682775,
        4.749487318999441,
        4.749507149530605,
        4.749526980061768,
        4.749546810592932,
        4.749566641124097,
        4.7495864716552605,
        4.749606302186424,
        4.749626132717587,
        4.749645963248751,
        4.749665793779915,
        4.749685624311078,
        4.749705454842242,
        4.7497252853734055,
        4.7497451159045685,
        4.749764946435732,
        4.749784776966896,
        4.74980460749806,
        4.749824438029224,
        4.749844268560387,
        4.749864099091551,
        4.749883929622714,
        4.749903760153877,
        4.749923590685041,
        4.749943421216205,
        4.749963251747368,
        4.749983082278532,
        4.750002912809696,
        4.7500227433408595,
        4.750042573872023,
        4.750062404403186,
        4.75008223493435,
        4.750102065465514,
        4.750121895996677,
        4.750141726527841,
        4.750161557059005,
        4.7501813875901675,
        4.750201218121332,
        4.750221048652496,
        4.75024087918366,
        4.750260709714824,
        4.750280540245987,
        4.7503003707771505,
        4.750320201308314,
        4.750340031839477,
        4.750359862370641,
        4.750379692901805,
        4.750399523432968,
        4.750419353964132,
        4.750439184495296,
        4.750459015026459,
        4.750478845557623,
        4.750498676088787,
        4.75051850661995,
        4.750538337151114,
        4.750558167682277,
        4.750577998213441,
        4.7505978287446045,
        4.750617659275767,
        4.750637489806931,
        4.750657320338095,
        4.750677150869258,
        4.750696981400423,
        4.750716811931587,
        4.7507366424627495,
        4.750756472993913,
        4.750776303525076,
        4.75079613405624,
        4.750815964587404,
        4.750835795118568,
        4.750855625649732,
        4.7508754561808955,
        4.750895286712058,
        4.750915117243223,
        4.750934947774387,
        4.75095477830555,
        4.750974608836714,
        4.750994439367877,
        4.7510142698990405,
        4.751034100430204,
        4.751053930961367,
        4.751073761492531,
        4.751093592023695,
        4.751113422554858,
        4.751133253086023,
        4.7511530836171865,
        4.751172914148349,
        4.751192744679513,
        4.751212575210676,
        4.75123240574184,
        4.751252236273004,
        4.751272066804167,
        4.751291897335331,
        4.7513117278664945,
        4.751331558397657,
        4.751351388928821,
        4.751371219459986,
        4.751391049991149,
        4.751410880522313,
        4.751430711053476,
        4.75145054158464,
        4.751470372115804,
        4.751490202646967,
        4.751510033178131,
        4.751529863709295,
        4.751549694240458,
        4.751569524771622,
        4.751589355302786,
        4.751609185833949,
        4.751629016365113,
        4.751648846896276,
        4.75166867742744,
        4.751688507958604,
        4.751708338489767,
        4.7517281690209305,
        4.751747999552094,
        4.751767830083257,
        4.751787660614421,
        4.751807491145586,
        4.751827321676749,
        4.751847152207913,
        4.7518669827390765,
        4.751886813270239,
        4.751906643801403,
        4.751926474332566,
        4.75194630486373,
        4.751966135394894,
        4.751985965926057,
        4.752005796457221,
        4.752025626988385,
        4.752045457519548,
        4.752065288050713,
        4.752085118581877,
        4.75210494911304,
        4.752124779644204,
        4.752144610175367,
        4.75216444070653,
        4.752184271237694,
        4.752204101768857,
        4.752223932300021,
        4.752243762831186,
        4.752263593362349,
        4.7522834238935125,
        4.752303254424676,
        4.752323084955839,
        4.752342915487003,
        4.752362746018166,
        4.75238257654933,
        4.752402407080494,
        4.752422237611657,
        4.7524420681428206,
        4.752461898673984,
        4.752481729205148,
        4.752501559736312,
        4.752521390267476,
        4.752541220798639,
        4.752561051329803,
        4.752580881860966,
        4.7526007123921294,
        4.752620542923293,
        4.752640373454456,
        4.75266020398562,
        4.752680034516785,
        4.752699865047949,
        4.7527196955791124,
        4.752739526110276,
        4.752759356641439,
        4.752779187172603,
        4.752799017703766,
        4.75281884823493,
        4.752838678766094,
        4.752858509297257,
        4.7528783398284205,
        4.752898170359584,
        4.752918000890748,
        4.752937831421912,
        4.752957661953076,
        4.752977492484239,
        4.752997323015403,
        4.7530171535465655,
        4.753036984077729,
        4.753056814608893,
        4.753076645140056,
        4.75309647567122,
        4.753116306202384,
        4.753136136733547,
        4.7531559672647115,
        4.753175797795875,
        4.753195628327038,
        4.753215458858202,
        4.753235289389366,
        4.753255119920529,
        4.753274950451693,
        4.7532947809828565,
        4.75331461151402,
        4.753334442045184,
        4.753354272576347,
        4.753374103107512,
        4.753393933638676,
        4.753413764169839,
        4.7534335947010025,
        4.753453425232166,
        4.753473255763329,
        4.753493086294493,
        4.753512916825656,
        4.75353274735682,
        4.753552577887984,
        4.753572408419147,
        4.753592238950311,
        4.753612069481475,
        4.753631900012638,
        4.753651730543802,
        4.753671561074966,
        4.753691391606129,
        4.753711222137293,
        4.7537310526684555,
        4.753750883199619,
        4.753770713730783,
        4.753790544261946,
        4.753810374793111,
        4.753830205324275,
        4.753850035855438,
        4.7538698663866015,
        4.753889696917765,
        4.753909527448929,
        4.753929357980093,
        4.753949188511256,
        4.75396901904242,
        4.753988849573584,
        4.7540086801047465,
        4.75402851063591,
        4.75424664647871,
        4.754266477009875,
        4.7542863075410375,
        4.754306138072201,
        4.754325968603365,
        4.754345799134528,
        4.754365629665692,
        4.754385460196855,
        4.754405290728019,
        4.754425121259183,
        4.7544449517903455,
        4.754464782321509,
        4.754484612852674,
        4.754504443383837,
        4.754524273915002,
        4.754544104446166,
        4.7545639349773285,
        4.754583765508492,
        4.754603596039656,
        4.754623426570819,
        4.754643257101983,
        4.754663087633146,
        4.75468291816431,
        4.7547027486954745,
        4.754722579226637,
        4.754742409757801,
        4.754762240288965,
        4.754782070820128,
        4.754801901351292,
        4.754821731882456,
        4.754841562413619,
        4.7548613929447825,
        4.754881223475945,
        4.754901054007109,
        4.754920884538273,
        4.754940715069437,
        4.754960545600601,
        4.754980376131765,
        4.7550002066629276,
        4.755020037194091,
        4.755039867725255,
        4.755059698256418,
        4.755079528787582,
        4.755099359318745,
        4.755119189849909,
        4.755139020381073,
        4.755158850912237,
        4.755178681443401,
        4.755198511974565,
        4.755218342505728,
        4.755238173036892,
        4.755258003568056,
        4.755277834099219,
        4.755297664630382,
        4.755317495161545,
        4.755337325692709,
        4.755357156223873,
        4.755376986755037,
        4.755396817286201,
        4.7554166478173645,
        4.7554364783485275,
        4.755456308879691,
        4.755476139410855,
        4.755495969942018,
        4.755515800473182,
        4.755535631004345,
        4.755555461535509,
        4.7555752920666725,
        4.7555951225978355,
        4.755614953129,
        4.755634783660164,
        4.755654614191327,
        4.755674444722491,
        4.755694275253655,
        4.755714105784818,
        4.755733936315981,
        4.755753766847144,
        4.755773597378309,
        4.755793427909473,
        4.755813258440636,
        4.755833088971801,
        4.755852919502964,
        4.755872750034127,
        4.755892580565291,
        4.755912411096455,
        4.755932241627618,
        4.755952072158782,
        4.755971902689946,
        4.755991733221109,
        4.756011563752272,
        4.756031394283435,
        4.7560512248146,
        4.756071055345764,
        4.756090885876927,
        4.756110716408091,
        4.7561305469392545,
        4.7561503774704175,
        4.756170208001581,
        4.756190038532745,
        4.756209869063908,
        4.756229699595072,
        4.756249530126235,
        4.7562693606574,
        4.756289191188563,
        4.756309021719726,
        4.75632885225089,
        4.756348682782054,
        4.756368513313217,
        4.756388343844382,
        4.7564081743755455,
        4.7564280049067085,
        4.756447835437872,
        4.756467665969035,
        4.7564874965002,
        4.756507327031364,
        4.756527157562527,
        4.756546988093691,
        4.756566818624854,
        4.756586649156017,
        4.756606479687181,
        4.756626310218345,
        4.756646140749508,
        4.756665971280672,
        4.756685801811835,
        4.756705632342999,
        4.756725462874163,
        4.756745293405326,
        4.75676512393649,
        4.756784954467654,
        4.756804784998817,
        4.756824615529981,
        4.7568444460611445,
        4.7568642765923075,
        4.756884107123471,
        4.756903937654634,
        4.756923768185798,
        4.756943598716963,
        4.756963429248126,
        4.75698325977929,
        4.757003090310454,
        4.757022920841617,
        4.757042751372781,
        4.757062581903945,
        4.757082412435108,
        4.757102242966272,
        4.757122073497435,
        4.7571419040285985,
        4.757161734559763,
        4.757181565090926,
        4.75720139562209,
        4.757221226153254,
        4.757241056684417,
        4.757260887215581,
        4.757280717746744,
        4.757300548277907,
        4.757320378809071,
        4.757340209340234,
        4.757360039871398,
        4.757379870402562,
        4.757399700933726,
        4.7574195314648895,
        4.757439361996053,
        4.757459192527216,
        4.75747902305838,
        4.757498853589544,
        4.757518684120707,
        4.757538514651871,
        4.7575583451830346,
        4.7575781757141975,
        4.757598006245361,
        4.757617836776526,
        4.75763766730769,
        4.757657497838854,
        4.757677328370017,
        4.7576971589011805,
        4.757716989432344,
        4.757736819963507,
        4.757756650494671,
        4.757776481025835,
        4.757796311556998,
        4.757816142088162,
        4.757835972619326,
        4.757855803150489,
        4.757875633681653,
        4.757895464212816,
        4.75791529474398,
        4.757935125275144,
        4.757954955806307,
        4.757974786337471,
        4.7579946168686345,
        4.758014447399797,
        4.758034277930961,
        4.758054108462125,
        4.758073938993289,
        4.758093769524453,
        4.758113600055616,
        4.7581334305867795,
        4.758153261117943,
        4.758173091649106,
        4.75819292218027,
        4.758212752711434,
        4.758232583242597,
        4.758252413773762,
        4.758272244304925,
        4.758292074836089,
        4.758311905367253,
        4.758331735898416,
        4.75835156642958,
        4.758371396960744,
        4.758391227491907,
        4.7584110580230705,
        4.758430888554234,
        4.758450719085397,
        4.758470549616561,
        4.758490380147724,
        4.758510210678889,
        4.758530041210053,
        4.758549871741216,
        4.758569702272379,
        4.758589532803543,
        4.758609363334706,
        4.75862919386587,
        4.758649024397034,
        4.758668854928197,
        4.758688685459361,
        4.758708515990524,
        4.758728346521688,
        4.758748177052852,
        4.758768007584015,
        4.758787838115179,
        4.758807668646343,
        4.758827499177506,
        4.7588473297086695,
        4.758867160239834,
        4.758886990770997,
        4.758906821302161,
        4.758926651833325,
        4.758946482364489,
        4.7589663128956525,
        4.7589861434268155,
        4.759005973957979,
        4.759025804489143,
        4.759045635020306,
        4.75906546555147,
        4.759085296082634,
        4.759105126613797,
        4.7591249571449605,
        4.759144787676124,
        4.759164618207287,
        4.759184448738452,
        4.759204279269615,
        4.759224109800779,
        4.759243940331943,
        4.759263770863106,
        4.759283601394269,
        4.759303431925433,
        4.759323262456596,
        4.75934309298776,
        4.759362923518924,
        4.759382754050087,
        4.7594025845812515,
        4.7594224151124145,
        4.759442245643578,
        4.759462076174742,
        4.759481906705906,
        4.75950173723707,
        4.759521567768234,
        4.759541398299397,
        4.75956122883056,
        4.759581059361724,
        4.759600889892887,
        4.759620720424052,
        4.759640550955215,
        4.759660381486379,
        4.7596802120175425,
        4.7597000425487055,
        4.759719873079869,
        4.759739703611033,
        4.759759534142196,
        4.75977936467336,
        4.759799195204524,
        4.759819025735687,
        4.7598388562668505,
        4.759858686798014,
        4.759878517329178,
        4.759898347860342,
        4.759918178391505,
        4.759938008922669,
        4.759957839453833,
        4.759977669984996,
        4.759997500516159,
        4.760017331047323,
        4.760037161578486,
        4.76005699210965,
        4.760076822640814,
        4.760096653171979,
        4.760116483703142,
        4.760136314234305,
        4.760156144765469,
        4.760175975296633,
        4.760195805827796,
        4.76021563635896,
        4.760235466890124,
        4.760255297421287,
        4.7602751279524504,
        4.760294958483615,
        4.760314789014778,
        4.760334619545942,
        4.760354450077105,
        4.760374280608269,
        4.760394111139433,
        4.7604139416705955,
        4.760433772201759,
        4.760453602732923,
        4.760473433264086,
        4.760612246982232,
        4.760632077513395,
        4.760651908044559,
        4.760671738575723,
        4.760691569106886,
        4.76071139963805,
        4.760731230169215,
        4.760751060700378,
        4.760770891231542,
        4.760790721762705,
        4.760810552293869,
        4.7608303828250325,
        4.760850213356195,
        4.760870043887359,
        4.760889874418523,
        4.760909704949686,
        4.76092953548085,
        4.760949366012014,
        4.7609691965431775,
        4.760989027074341,
        4.761008857605504,
        4.761028688136668,
        4.761048518667832,
        4.761068349198995,
        4.761088179730159,
        4.761108010261323,
        4.7611278407924855,
        4.761147671323649,
        4.761167501854813,
        4.761187332385977,
        4.761207162917141,
        4.761226993448304,
        4.761246823979468,
        4.7612666545106315,
        4.761286485041794,
        4.761306315572958,
        4.761326146104123,
        4.761345976635286,
        4.76136580716645,
        4.761385637697614,
        4.761405468228777,
        4.761425298759941,
        4.761445129291104,
        4.761464959822268,
        4.761484790353432,
        4.761504620884595,
        4.761524451415759,
        4.7615442819469225,
        4.761564112478085,
        4.761583943009249,
        4.761603773540413,
        4.761623604071576,
        4.761643434602741,
        4.761663265133905,
        4.7616830956650675,
        4.761702926196231,
        4.761722756727394,
        4.761742587258558,
        4.761762417789722,
        4.761782248320885,
        4.761802078852049,
        4.761821909383213,
        4.7618417399143755,
        4.76186157044554,
        4.761881400976704,
        4.761901231507867,
        4.761921062039031,
        4.761940892570194,
        4.7619607231013585,
        4.761980553632522,
        4.762000384163685,
        4.762020214694849,
        4.762040045226013,
        4.762059875757176,
        4.762079706288341,
        4.7620995368195045,
        4.762119367350667,
        4.762139197881831,
        4.762159028412994,
        4.762178858944158,
        4.762198689475322,
        4.762218520006485,
        4.762238350537649,
        4.7622581810688125,
        4.762278011599975,
        4.76229784213114,
        4.762317672662304,
        4.762337503193467,
        4.762357333724631,
        4.762377164255794,
        4.7623969947869575,
        4.762416825318121,
        4.762436655849284,
        4.762456486380448,
        4.762476316911612,
        4.762496147442775,
        4.762515977973939,
        4.7625358085051035,
        4.762555639036267,
        4.762575469567431,
        4.762595300098594,
        4.762615130629758,
        4.762634961160922,
        4.762654791692085,
        4.7626746222232486,
        4.762694452754412,
        4.762714283285575,
        4.762734113816739,
        4.762753944347904,
        4.762773774879067,
        4.762793605410231,
        4.762813435941394,
        4.7628332664725574,
        4.762853097003721,
        4.762872927534884,
        4.762892758066048,
        4.762912588597212,
        4.762932419128375,
        4.762952249659539,
        4.762972080190703,
        4.762991910721866,
        4.76301174125303,
        4.763031571784194,
        4.763051402315357,
        4.763071232846521,
        4.763091063377684,
        4.763110893908848,
        4.763130724440011,
        4.763150554971174,
        4.763170385502338,
        4.763190216033504,
        4.763210046564667,
        4.763229877095831,
        4.763249707626994,
        4.763269538158157,
        4.763289368689321,
        4.763309199220484,
        4.763329029751648,
        4.763348860282812,
        4.763368690813975,
        4.763388521345139,
        4.763408351876302,
        4.763428182407466,
        4.76344801293863,
        4.763467843469794,
        4.763487674000957,
        4.763507504532121,
        4.763527335063284,
        4.763705809843756,
        4.76372564037492,
        4.763745470906083,
        4.763765301437247,
        4.763785131968411,
        4.763804962499575,
        4.7638247930307385,
        4.763844623561902,
        4.763864454093066,
        4.76388428462423,
        4.763904115155394,
        4.763923945686557,
        4.763943776217721,
        4.7639636067488835,
        4.763983437280047,
        4.764003267811211,
        4.764023098342374,
        4.764042928873538,
        4.764062759404702,
        4.764082589935865,
        4.7641024204670295,
        4.764122250998193,
        4.764142081529356,
        4.76416191206052,
        4.764181742591683,
        4.764201573122847,
        4.764221403654011,
        4.764241234185174,
        4.7642610647163375,
        4.764280895247501,
        4.764300725778664,
        4.764320556309829,
        4.764340386840993,
        4.764360217372156,
        4.76438004790332,
        4.764399878434483,
        4.764419708965647,
        4.764439539496811,
        4.764459370027974,
        4.764479200559138,
        4.764499031090302,
        4.764518861621465,
        4.764538692152629,
        4.764558522683793,
        4.764578353214956,
        4.76459818374612,
        4.764618014277284,
        4.764637844808447,
        4.764657675339611,
        4.7646775058707735,
        4.764697336401937,
        4.764717166933101,
        4.764736997464264,
        4.764756827995429,
        4.764776658526593,
        4.764796489057756,
        4.7648163195889195,
        4.764836150120083,
        4.764855980651246,
        4.76487581118241,
        4.764895641713573,
        4.764915472244737,
        4.764935302775901,
        4.764955133307064,
        4.7649749638382275,
        4.764994794369392,
        4.765014624900555,
        4.76503445543172,
        4.765054285962884,
        4.765074116494047,
        4.7650939470252105,
        4.765113777556373,
        4.765133608087537,
        4.765153438618701,
        4.765173269149864,
        4.765193099681028,
        4.765212930212193,
        4.7652327607433556,
        4.765252591274519,
        4.765272421805683,
        4.765292252336846,
        4.76531208286801,
        4.765331913399173,
        4.765351743930337,
        4.765371574461501,
        4.765391404992664,
        4.765411235523827,
        4.765431066054992,
        4.765450896586155,
        4.765470727117319,
        4.765490557648483,
        4.765510388179646,
        4.7655302187108095,
        4.7655500492419725,
        4.765569879773136,
        4.7655897103043,
        4.765609540835463,
        4.765629371366627,
        4.765649201897791,
        4.7656690324289555,
        4.765688862960119,
        4.765708693491283,
        4.765728524022446,
        4.76574835455361,
        4.765768185084773,
        4.765788015615937,
        4.7658078461471005,
        4.7658276766782635,
        4.765847507209427,
        4.765867337740591,
        4.765887168271755,
        4.765906998802919,
        4.765926829334083,
        4.765946659865246,
        4.765966490396409,
        4.765986320927573,
        4.766006151458736,
        4.7660259819899,
        4.766045812521063,
        4.766065643052227,
        4.766085473583391,
        4.7661053041145545,
        4.766125134645718,
        4.766144965176882,
        4.766164795708045,
        4.766184626239209,
        4.766204456770373,
        4.766224287301536,
        4.7662441178326995,
        4.766263948363863,
        4.766283778895027,
        4.766303609426191,
        4.766323439957355,
        4.766343270488519,
        4.7663631010196825,
        4.7663829315508455,
        4.766402762082009,
        4.766422592613173,
        4.766442423144336,
        4.7664622536755,
        4.766482084206663,
        4.766501914737827,
        4.7665217452689905,
        4.766541575800154,
        4.766561406331318,
        4.766581236862482,
        4.766601067393645,
        4.766620897924809,
        4.766640728455973,
        4.766660558987136,
        4.766680389518299,
        4.766700220049462,
        4.766720050580626,
        4.76673988111179,
        4.766759711642953,
        4.766779542174118,
        4.7667993727052815,
        4.7668192032364445,
        4.766839033767608,
        4.766858864298772,
        4.766878694829935,
        4.7668985253611,
        4.766918355892263,
        4.766938186423427,
        4.76695801695459,
        4.766977847485753,
        4.766997678016918,
        4.767017508548082,
        4.767037339079245,
        4.767057169610409,
        4.7670770001415725,
        4.7670968306727355,
        4.767116661203899,
        4.767136491735062,
        4.767156322266226,
        4.76717615279739,
        4.767195983328553,
        4.767215813859718,
        4.767235644390881,
        4.767255474922044,
        4.767275305453208,
        4.767295135984372,
        4.767314966515535,
        4.767334797046699,
        4.767354627577863,
        4.767374458109026,
        4.767592593951826,
        4.76761242448299,
        4.767632255014153,
        4.767652085545317,
        4.767671916076481,
        4.767691746607644,
        4.767711577138808,
        4.767731407669972,
        4.767751238201135,
        4.767771068732299,
        4.767790899263463,
        4.7678107297946255,
        4.767830560325789,
        4.767850390856952,
        4.767870221388116,
        4.767890051919281,
        4.767909882450444,
        4.767929712981608,
        4.7679495435127714,
        4.767969374043934,
        4.767989204575098,
        4.768009035106262,
        4.768028865637425,
        4.768048696168589,
        4.768068526699752,
        4.768088357230916,
        4.76810818776208,
        4.768128018293243,
        4.768147848824408,
        4.768167679355572,
        4.768187509886735,
        4.768207340417899,
        4.7682271709490625,
        4.768247001480225,
        4.768266832011389,
        4.768286662542552,
        4.768306493073716,
        4.76832632360488,
        4.768346154136044,
        4.7683659846672075,
        4.768385815198371,
        4.768405645729534,
        4.768425476260698,
        4.768445306791862,
        4.768465137323025,
        4.768484967854189,
        4.768504798385352,
        4.7685246289165155,
        4.768544459447679,
        4.768564289978843,
        4.768584120510007,
        4.768603951041171,
        4.768623781572334,
        4.768643612103498,
        4.7686634426346615,
        4.768683273165824,
        4.768703103696988,
        4.768722934228152,
        4.768742764759316,
        4.76876259529048,
        4.768782425821644,
        4.768802256352807,
        4.768822086883971,
        4.768841917415134,
        4.768861747946298,
        4.768881578477462,
        4.768901409008625,
        4.768921239539789,
        4.7689410700709525,
        4.768960900602115,
        4.768980731133279,
        4.769000561664443,
        4.769020392195607,
        4.769040222726771,
        4.769060053257934,
        4.7690798837890975,
        4.769099714320261,
        4.769119544851424,
        4.769139375382588,
        4.769159205913752,
        4.769179036444915,
        4.769198866976079,
        4.769218697507242,
        4.769238528038406,
        4.76925835856957,
        4.769278189100733,
        4.769298019631897,
        4.769317850163061,
        4.769337680694224,
        4.769357511225388,
        4.769377341756552,
        4.769397172287715,
        4.769417002818879,
        4.769436833350042,
        4.769456663881207,
        4.769476494412371,
        4.769496324943534,
        4.769516155474697,
        4.769535986005861,
        4.769555816537024,
        4.769575647068188,
        4.769595477599352,
        4.769615308130515,
        4.769635138661679,
        4.769654969192842,
        4.769674799724006,
        4.76969463025517,
        4.769714460786333,
        4.769734291317497,
        4.769754121848661,
        4.769773952379824,
        4.7697937829109875,
        4.769813613442151,
        4.769833443973314,
        4.769853274504478,
        4.769873105035641,
        4.769892935566805,
        4.76991276609797,
        4.769932596629133,
        4.769952427160296,
        4.769972257691461,
        4.769992088222624,
        4.770011918753788,
        4.770031749284952,
        4.770051579816115,
        4.7700714103472786,
        4.770091240878442,
        4.770111071409605,
        4.77013090194077,
        4.770150732471933,
        4.770170563003097,
        4.770190393534261,
        4.770210224065424,
        4.770230054596587,
        4.770249885127751,
        4.770269715658914,
        4.770289546190078,
        4.770309376721242,
        4.770329207252405,
        4.77034903778357,
        4.7703688683147325,
        4.770388698845896,
        4.77040852937706,
        4.770428359908223,
        4.770448190439387,
        4.770468020970551,
        4.770487851501714,
        4.770507682032878,
        4.770527512564041,
        4.770547343095204,
        4.770567173626369,
        4.770587004157532,
        4.770606834688697,
        4.770626665219861,
        4.7706464957510235,
        4.770666326282187,
        4.770686156813351,
        4.770705987344514,
        4.770725817875678,
        4.770745648406842,
        4.770765478938005,
        4.7707853094691695,
        4.770805140000332,
        4.770824970531496,
        4.77084480106266,
        4.770864631593823,
        4.770884462124987,
        4.770904292656151,
        4.770924123187314,
        4.7709439537184775,
        4.770963784249641,
        4.770983614780804,
        4.771003445311968,
        4.771023275843132,
        4.771043106374296,
        4.77106293690546,
        4.7710827674366225,
        4.771102597967786,
        4.77112242849895,
        4.771142259030113,
        4.771162089561277,
        4.771181920092441,
        4.771201750623604,
        4.7712215811547685,
        4.771241411685932,
        4.771261242217096,
        4.77128107274826,
        4.771300903279423,
        4.771320733810587,
        4.771340564341751,
        4.7713603948729135,
        4.771380225404077,
        4.771400055935241,
        4.771419886466404,
        4.771439716997568,
        4.771459547528733,
        4.771479378059896,
        4.7714992085910595,
        4.771519039122222,
        4.771538869653386,
        4.77155870018455,
        4.771578530715713,
        4.771598361246877,
        4.771618191778041,
        4.771638022309204,
        4.7716578528403675,
        4.771677683371531,
        4.771697513902695,
        4.771717344433859,
        4.771737174965022,
        4.771757005496186,
        4.77177683602735,
        4.7717966665585125,
        4.771816497089676,
        4.771836327620841,
        4.771856158152004,
        4.771875988683168,
        4.771895819214332,
        4.7719156497454955,
        4.771935480276659,
        4.771955310807822,
        4.771975141338986,
        4.77199497187015,
        4.772014802401313,
        4.772034632932477,
        4.772054463463641,
        4.7720742939948035,
        4.772094124525967,
        4.772113955057131,
        4.772133785588295,
        4.772153616119459,
        4.772173446650622,
        4.772193277181786,
        4.7722131077129495,
        4.772232938244112,
        4.772252768775276,
        4.77227259930644,
        4.772292429837603,
        4.772312260368767,
        4.772332090899931,
        4.7723519214310945,
        4.772371751962258,
        4.772391582493421,
        4.772411413024585,
        4.772431243555749,
        4.772451074086913,
        4.772470904618077,
        4.7724907351492405,
        4.772510565680403,
        4.772530396211567,
        4.772550226742731,
        4.772570057273894,
        4.772589887805059,
        4.772609718336222,
        4.7726295488673856,
        4.772649379398549,
        4.772669209929712,
        4.772689040460876,
        4.77270887099204,
        4.772728701523203,
        4.772748532054367,
        4.772768362585531,
        4.7727881931166936,
        4.772808023647858,
        4.772827854179021,
        4.772847684710185,
        4.772867515241349,
        4.772887345772512,
        4.772907176303676,
        4.7729270068348395,
        4.7729468373660024,
        4.772966667897166,
        4.77298649842833,
        4.773006328959493,
        4.773026159490658,
        4.773045990021822,
        4.773065820552985,
        4.773085651084149,
        4.773303786926949,
        4.773323617458112,
        4.773343447989276,
        4.773363278520439,
        4.773383109051602,
        4.773402939582766,
        4.77342277011393,
        4.773442600645093,
        4.773462431176257,
        4.7734822617074215,
        4.7735020922385845,
        4.773521922769748,
        4.773541753300911,
        4.773561583832075,
        4.773581414363239,
        4.773601244894402,
        4.773621075425566,
        4.7736409059567295,
        4.7736607364878925,
        4.773680567019056,
        4.773700397550222,
        4.773720228081385,
        4.773740058612549,
        4.773759889143712,
        4.7737797196748755,
        4.773799550206039,
        4.773819380737202,
        4.773839211268366,
        4.77385904179953,
        4.773878872330693,
        4.773898702861857,
        4.773918533393021,
        4.773938363924184,
        4.773958194455348,
        4.773978024986511,
        4.773997855517675,
        4.774017686048839,
        4.774037516580002,
        4.774057347111166,
        4.774077177642329,
        4.774097008173492,
        4.774116838704656,
        4.77413666923582,
        4.774156499766984,
        4.774176330298148,
        4.774196160829311,
        4.7742159913604745,
        4.774235821891638,
        4.774255652422801,
        4.774275482953965,
        4.774295313485129,
        4.774315144016293,
        4.774334974547457,
        4.77435480507862,
        4.774374635609784,
        4.774394466140948,
        4.774414296672112,
        4.774434127203275,
        4.774453957734439,
        4.774473788265602,
        4.7744936187967655,
        4.774513449327929,
        4.774533279859092,
        4.774553110390256,
        4.77457294092142,
        4.774592771452584,
        4.774612601983748,
        4.774632432514911,
        4.774652263046074,
        4.774672093577238,
        4.774691924108401,
        4.774711754639565,
        4.774731585170729,
        4.774751415701892,
        4.774771246233056,
        4.774791076764219,
        4.774810907295383,
        4.774830737826547,
        4.774850568357711,
        4.774870398888874,
        4.774890229420038,
        4.774910059951201,
        4.774929890482365,
        4.774949721013529,
        4.774969551544692,
        4.774989382075856,
        4.77500921260702,
        4.775029043138184,
        4.7750488736693475,
        4.775068704200511,
        4.775088534731674,
        4.775108365262838,
        4.775128195794001,
        4.775148026325165,
        4.775167856856329,
        4.775187687387492,
        4.7752075179186555,
        4.775227348449819,
        4.775247178980982,
        4.775267009512147,
        4.775286840043311,
        4.775306670574474,
        4.775326501105638,
        4.775346331636801,
        4.775366162167964,
        4.775385992699128,
        4.775405823230291,
        4.775425653761455,
        4.775445484292619,
        4.775465314823782,
        4.7754851453549465,
        4.77550497588611,
        4.775524806417273,
        4.775544636948438,
        4.775564467479601,
        4.775584298010765,
        4.775604128541929,
        4.775623959073092,
        4.775643789604255,
        4.775663620135419,
        4.775683450666582,
        4.775703281197747,
        4.775723111728911,
        4.775742942260074,
        4.7757627727912375,
        4.775782603322401,
        4.775802433853564,
        4.775822264384728,
        4.775842094915891,
        4.775861925447055,
        4.775881755978219,
        4.775901586509382,
        4.7759214170405455,
        4.77594124757171,
        4.775961078102873,
        4.775980908634037,
        4.776000739165201,
        4.776020569696364,
        4.776040400227528,
        4.776060230758691,
        4.776080061289854,
        4.776099891821018,
        4.776119722352181,
        4.776139552883345,
        4.776159383414511,
        4.776179213945674,
        4.776199044476837,
        4.776218875008001,
        4.7763676039917256,
        4.77671463828709,
        4.776734468818254,
        4.776754299349418,
        4.776774129880581,
        4.776793960411745,
        4.776813790942909,
        4.776833621474073,
        4.776853452005237,
        4.776873282536401,
        4.776893113067564,
        4.776912943598727,
        4.77693277412989,
        4.776952604661054,
        4.776972435192218,
        4.776992265723381,
        4.777012096254545,
        4.777031926785709,
        4.7770517573168725,
        4.777071587848036,
        4.7770914183792,
        4.777111248910363,
        4.777131079441527,
        4.777150909972691,
        4.777170740503854,
        4.7771905710350175,
        4.7772104015661805,
        4.777230232097344,
        4.777250062628508,
        4.777269893159672,
        4.777289723690836,
        4.777309554222,
        4.777329384753163,
        4.777349215284326,
        4.77736904581549,
        4.777388876346654,
        4.777408706877818,
        4.777428537408981,
        4.777448367940145,
        4.7774681984713085,
        4.777488029002472,
        4.777507859533636,
        4.7775276900648,
        4.777547520595963,
        4.777567351127127,
        4.777587181658291,
        4.777607012189454,
        4.777626842720617,
        4.77764667325178,
        4.777666503782944,
        4.777686334314108,
        4.777706164845271,
        4.777725995376436,
        4.7777458259075996,
        4.7777656564387625,
        4.777785486969926,
        4.77780531750109,
        4.777825148032253,
        4.777844978563417,
        4.77786480909458,
        4.777884639625744,
        4.777904470156908,
        4.7779243006880705,
        4.777944131219235,
        4.777963961750399,
        4.777983792281562,
        4.778003622812726,
        4.778023453343891,
        4.7780432838750535,
        4.778063114406217,
        4.77808294493738,
        4.778102775468544,
        4.778122605999708,
        4.778142436530871,
        4.778162267062036,
        4.7781820975931995,
        4.778201928124362,
        4.778221758655526,
        4.77824158918669,
        4.778261419717853,
        4.778281250249017,
        4.77830108078018,
        4.778320911311344,
        4.7783407418425075,
        4.77836057237367,
        4.778380402904834,
        4.778400233435999,
        4.778420063967162,
        4.778439894498326,
        4.77845972502949,
        4.7784795555606525,
        4.778499386091816,
        4.77851921662298,
        4.778539047154143,
        4.778558877685307,
        4.77857870821647,
        4.778598538747634,
        4.7786183692787985,
        4.778638199809962,
        4.778658030341126,
        4.77867786087229,
        4.778697691403453,
        4.778717521934617,
        4.778737352465781,
        4.7787571829969435,
        4.778777013528107,
        4.77879684405927,
        4.778816674590434,
        4.778836505121599,
        4.778856335652762,
        4.778876166183926,
        4.7788959967150895,
        4.778915827246252,
        4.778935657777416,
        4.77895548830858,
        4.778975318839743,
        4.778995149370907,
        4.77901497990207,
        4.779034810433234,
        4.779054640964398,
        4.779074471495561,
        4.779094302026725,
        4.779114132557889,
        4.779133963089052,
        4.779153793620216,
        4.77917362415138,
        4.7791934546825425,
        4.779213285213706,
        4.779233115744869,
        4.779252946276033,
        4.779272776807199,
        4.779292607338362,
        4.7793124378695255,
        4.779332268400689,
        4.779352098931852,
        4.779371929463016,
        4.77939175999418,
        4.779411590525343,
        4.779431421056507,
        4.77945125158767,
        4.7794710821188335,
        4.779490912649997,
        4.779510743181161,
        4.779530573712325,
        4.779550404243489,
        4.779570234774652,
        4.779590065305816,
        4.7796098958369795,
        4.779629726368142,
        4.779649556899306,
        4.779669387430469,
        4.779689217961633,
        4.779709048492797,
        4.779728879023961,
        4.7797487095551245,
        4.779768540086288,
        4.779788370617451,
        4.779808201148615,
        4.779828031679779,
        4.779847862210942,
        4.779867692742107,
        4.7798875232732705,
        4.779907353804433,
        4.779927184335597,
        4.779947014866761,
        4.779966845397925,
        4.779986675929089,
        4.780006506460252,
        4.7800263369914155,
        4.780046167522579,
        4.780065998053742,
        4.780085828584906,
        4.78010565911607,
        4.780125489647233,
        4.780145320178397,
        4.78016515070956,
        4.780184981240724,
        4.780204811771888,
        4.780224642303051,
        4.780244472834215,
        4.780264303365379,
        4.780284133896542,
        4.780303964427706,
        4.7803237949588695,
        4.7803436254900324,
        4.780363456021196,
        4.780383286552359,
        4.780403117083524,
        4.780422947614688,
        4.780442778145851,
        4.780462608677015,
        4.780482439208178,
        4.780502269739342,
        4.780522100270506,
        4.78054193080167,
        4.780561761332833,
        4.780581591863997,
        4.78060142239516,
        4.780621252926324,
        4.780641083457488,
        4.780660913988651,
        4.780680744519815,
        4.780700575050979,
        4.780720405582142,
        4.780740236113306,
        4.780760066644469,
        4.780779897175632,
        4.780799727706796,
        4.780819558237959,
        4.780839388769124,
        4.780859219300288,
        4.780879049831451,
        4.7808988803626145,
        4.780918710893778,
        4.780938541424941,
        4.780958371956105,
        4.780978202487269,
        4.780998033018432,
        4.781017863549596,
        4.781037694080759,
        4.7810575246119225,
        4.781077355143087,
        4.781097185674251,
        4.781117016205415,
        4.781136846736579,
        4.781156677267742,
        4.7811765077989055,
        4.781196338330069,
        4.781216168861232,
        4.781235999392396,
        4.781255829923559,
        4.781275660454723,
        4.781295490985888,
        4.7813153215170505,
        4.781335152048214,
        4.781354982579378,
        4.781374813110541,
        4.781394643641705,
        4.781414474172869,
        4.781434304704032,
        4.781454135235196,
        4.781473965766359,
        4.781493796297522,
        4.781513626828687,
        4.78153345735985,
        4.781553287891014,
        4.781573118422178,
        4.781592948953341,
        4.7816127794845045,
        4.781632610015668,
        4.781652440546831,
        4.781672271077995,
        4.781692101609159,
        4.781711932140322,
        4.7817317626714875,
        4.78175159320265,
        4.781771423733814,
        4.781791254264978,
        4.781811084796141,
        4.781830915327305,
        4.781850745858469,
        4.781870576389632,
        4.7818904069207955,
        4.781910237451959,
        4.781930067983122,
        4.781949898514286,
        4.78196972904545,
        4.781989559576614,
        4.782009390107778,
        4.7820292206389405,
        4.782049051170104,
        4.782068881701268,
        4.782088712232431,
        4.782108542763595,
        4.782128373294759,
        4.782148203825922,
        4.782168034357086,
        4.782187864888249,
        4.782207695419413,
        4.782227525950577,
        4.78224735648174,
        4.782267187012904,
        4.782287017544068,
        4.782306848075231,
        4.7823266786063945,
        4.782346509137559,
        4.782366339668722,
        4.782386170199886,
        4.78240600073105,
        4.782425831262214,
        4.7824456617933775,
        4.78246549232454,
        4.782485322855704,
        4.782505153386868,
        4.782524983918031,
        4.782544814449195,
        4.782564644980359,
        4.782584475511522,
        4.7826043060426855,
        4.782624136573848,
        4.782643967105013,
        4.782723289229668,
        4.7827431197608306,
        4.782762950291994,
        4.782782780823158,
        4.782802611354321,
        4.782822441885485,
        4.782842272416649,
        4.783020747197122,
        4.783040577728285,
        4.783060408259449,
        4.783080238790613,
        4.783100069321777,
        4.78311989985294,
        4.783139730384104,
        4.7831595609152675,
        4.7831793914464305,
        4.783199221977594,
        4.783219052508758,
        4.783238883039921,
        4.783258713571085,
        4.783278544102249,
        4.783298374633413,
        4.783318205164576,
        4.783338035695739,
        4.783357866226903,
        4.783377696758067,
        4.78339752728923,
        4.783417357820394,
        4.783437188351558,
        4.783457018882721,
        4.783476849413884,
        4.783496679945048,
        4.783516510476211,
        4.783536341007376,
        4.783556171538539,
        4.783576002069704,
        4.783595832600867,
        4.78361566313203,
        4.783635493663194,
        4.783655324194358,
        4.783675154725521,
        4.783962697427393,
        4.784488206503229,
        4.784508037034393,
        4.784527867565557,
        4.78454769809672,
        4.784567528627884,
        4.7845873591590475,
        4.7846071896902105,
        4.784627020221374,
        4.784646850752539,
        4.784666681283702,
        4.784686511814866,
        4.784706342346029,
        4.784726172877193,
        4.784746003408356,
        4.784765833939519,
        4.784785664470683,
        4.784964139251157,
        4.78498396978232,
        4.785003800313484,
        4.785023630844647,
        4.78504346137581,
        4.785142614031629,
        4.7851624445627925,
        4.785182275093956,
        4.785202105625119,
        4.785221936156283,
        4.785241766687447,
        4.78526159721861,
        4.785281427749774,
        4.7853012582809376,
        4.785321088812101,
        4.785340919343265,
        4.785360749874428,
        4.785380580405592,
        4.785400410936756,
        4.785420241467919,
        4.7854400719990835,
        4.785459902530247,
        4.78547973306141,
        4.785499563592574,
        4.785519394123738,
        4.785539224654902,
        4.785559055186066,
        4.7855788857172294,
        4.785598716248392,
        4.785618546779556,
        4.785638377310719,
        4.785658207841883,
        4.785678038373047,
        4.78569786890421,
        4.785717699435374,
        4.7857375299665375,
        4.785757360497701,
        4.785777191028865,
        4.785797021560029,
        4.785816852091192,
        4.785836682622356,
        4.785856513153519,
        4.7858763436846825,
        4.785896174215846,
        4.785916004747009,
        4.785935835278173,
        4.785955665809337,
        4.7859754963405,
        4.785995326871665,
        4.7860151574028285,
        4.786034987933991,
        4.786054818465156,
        4.786074648996319,
        4.786094479527483,
        4.786114310058647,
        4.78613414058981,
        4.7861539711209735,
        4.786173801652137,
        4.7861936321833,
        4.786213462714465,
        4.786233293245629,
        4.786253123776792,
        4.786272954307956,
        4.786292784839119,
        4.786312615370282,
        4.786332445901446,
        4.786352276432609,
        4.786372106963773,
        4.786391937494937,
        4.7864117680261,
        4.7864315985572645,
        4.786451429088428,
        4.786471259619591,
        4.786491090150755,
        4.786510920681918,
        4.786530751213082,
        4.786550581744246,
        4.786570412275409,
        4.7865902428065725,
        4.786610073337736,
        4.786629903868899,
        4.786649734400064,
        4.786669564931229,
        4.786689395462392,
        4.7867092259935555,
        4.7867290565247185,
        4.786748887055882,
        4.786768717587046,
        4.786788548118209,
        4.786808378649373,
        4.786828209180537,
        4.7868480397117,
        4.7868678702428635,
        4.786887700774028,
        4.786907531305191,
        4.786927361836355,
        4.786947192367519,
        4.786967022898682,
        4.786986853429846,
        4.787006683961009,
        4.787026514492172,
        4.787046345023336,
        4.787066175554499,
        4.787086006085663,
        4.787105836616828,
        4.787125667147991,
        4.7871454976791545,
        4.787165328210318,
        4.787185158741481,
        4.787204989272645,
        4.787224819803808,
        4.787244650334972,
        4.787264480866136,
        4.7872843113973,
        4.787304141928463,
        4.787323972459628,
        4.787343802990791,
        4.787363633521955,
        4.787383464053119,
        4.787403294584282,
        4.7874231251154455,
        4.7874429556466085,
        4.787462786177772,
        4.787542108302428,
        4.787561938833591,
        4.787581769364754,
        4.787601599895918,
        4.787621430427081,
        4.787641260958245,
        4.787661091489408,
        4.787680922020572,
        4.787700752551736,
        4.787720583082899,
        4.787740413614062,
        4.787760244145226,
        4.78778007467639,
        4.787799905207554,
        4.787819735738718,
        4.787839566269881,
        4.7878593968010446,
        4.7878792273322075,
        4.787899057863371,
        4.787918888394536,
        4.787938718925699,
        4.787958549456863,
        4.787978379988027,
        4.7879982105191905,
        4.788018041050354,
        4.788037871581518,
        4.788057702112681,
        4.788077532643845,
        4.788097363175008,
        4.788137024237336,
        4.7881568547684985,
        4.788176685299662,
        4.788196515830826,
        4.78821634636199,
        4.788236176893154,
        4.788256007424318,
        4.788275837955481,
        4.7882956684866445,
        4.788315499017808,
        4.788335329548971,
        4.788355160080135,
        4.788374990611298,
        4.788394821142462,
        4.788414651673626,
        4.788434482204789,
        4.788454312735953,
        4.788474143267117,
        4.78849397379828,
        4.788513804329444,
        4.788533634860609,
        4.788553465391772,
        4.7885732959229355,
        4.788593126454098,
        4.788612956985262,
        4.788632787516426,
        4.788652618047589,
        4.788672448578754,
        4.788692279109918,
        4.7887121096410805,
        4.788731940172244,
        4.788751770703408,
        4.788771601234571,
        4.788791431765735,
        4.788811262296898,
        4.788831092828062,
        4.788850923359226,
        4.7888707538903885,
        4.788890584421553,
        4.788910414952717,
        4.78893024548388,
        4.788950076015044,
        4.788969906546208,
        4.788989737077371,
        4.7890095676085345,
        4.789029398139697,
        4.789049228670861,
        4.789069059202025,
        4.789088889733188,
        4.789108720264353,
        4.789128550795517,
        4.78914838132668,
        4.789168211857844,
        4.789188042389008,
        4.789207872920171,
        4.789227703451335,
        4.789247533982498,
        4.789267364513662,
        4.7892871950448255,
        4.789307025575988,
        4.789326856107153,
        4.789346686638317,
        4.78936651716948,
        4.789386347700644,
        4.789406178231808,
        4.7894260087629705,
        4.789445839294134,
        4.789465669825297,
        4.789485500356461,
        4.789505330887625,
        4.789525161418788,
        4.789544991949952,
        4.7895648224811165,
        4.789584653012279,
        4.789604483543443,
        4.789624314074607,
        4.78964414460577,
        4.789663975136934,
        4.789683805668097,
        4.789703636199261,
        4.7897234667304245,
        4.789743297261587,
        4.789763127792752,
        4.789782958323917,
        4.78980278885508,
        4.789822619386244,
        4.7898424499174075,
        4.78986228044857,
        4.789882110979734,
        4.789901941510898,
        4.789921772042061,
        4.789941602573225,
        4.789961433104388,
        4.789981263635552,
        4.790001094166716,
        4.790020924697879,
        4.790040755229043,
        4.790060585760207,
        4.79008041629137,
        4.790100246822534,
        4.7901498231504425,
        4.790477026914643,
        4.790496857445807,
        4.79051668797697,
        4.790536518508134,
        4.7905563490392975,
        4.7905761795704604,
        4.790596010101624,
        4.790615840632787,
        4.790635671163951,
        4.790655501695115,
        4.790675332226279,
        4.790695162757443,
        4.790714993288606,
        4.790734823819769,
        4.790754654350933,
        4.790774484882097,
        4.79079431541326,
        4.790814145944424,
        4.790833976475587,
        4.790853807006751,
        4.790873637537914,
        4.790893468069078,
        4.790913298600242,
        4.790933129131406,
        4.790952959662569,
        4.790972790193733,
        4.790992620724897,
        4.79101245125606,
        4.791032281787224,
        4.791151264974206,
        4.791171095505369,
        4.791190926036533,
        4.791210756567697,
        4.79123058709886,
        4.791250417630024,
        4.7912702481611875,
        4.7912900786923505,
        4.791309909223514,
        4.791329739754677,
        4.791349570285842,
        4.791369400817006,
        4.791389231348169,
        4.791409061879333,
        4.791428892410496,
        4.791448722941659,
        4.791468553472823,
        4.791488384003987,
        4.79150821453515,
        4.791528045066314,
        4.791547875597477,
        4.7915677061286415,
        4.791587536659805,
        4.791607367190968,
        4.791627197722133,
        4.791647028253297,
        4.79166685878446,
        4.791686689315624,
        4.791706519846787,
        4.79172635037795,
        4.791746180909114,
        4.791766011440277,
        4.791785841971442,
        4.791805672502606,
        4.791825503033769,
        4.7918453335649325,
        4.791865164096096,
        4.791884994627259,
        4.791904825158423,
        4.791924655689587,
        4.79194448622075,
        4.791964316751914,
        4.791984147283077,
        4.7920039778142405,
        4.792023808345405,
        4.792043638876568,
        4.792063469407732,
        4.792083299938896,
        4.792103130470059,
        4.792122961001223,
        4.792142791532386,
        4.792162622063549,
        4.792182452594713,
        4.792202283125876,
        4.792222113657041,
        4.792241944188206,
        4.7922617747193685,
        4.792281605250532,
        4.792301435781696,
        4.792321266312859,
        4.792341096844023,
        4.792360927375187,
        4.79238075790635,
        4.792400588437514,
        4.7924204189686765,
        4.79244024949984,
        4.792460080031005,
        4.792479910562168,
        4.792499741093332,
        4.792519571624496,
        4.792539402155659,
        4.7925592326868225,
        4.792579063217986,
        4.792598893749149,
        4.792618724280313,
        4.792638554811477,
        4.79265838534264,
        4.792678215873804,
        4.7926980464049675,
        4.792817029591949,
        4.792836860123113,
        4.792856690654277,
        4.79287652118544,
        4.792896351716604,
        4.792916182247768,
        4.792936012778932,
        4.792955843310096,
        4.7929756738412586,
        4.792995504372422,
        4.793015334903586,
        4.793035165434749,
        4.793054995965913,
        4.793074826497077,
        4.79309465702824,
        4.793114487559404,
        4.7931343180905674,
        4.793154148621731,
        4.793173979152895,
        4.793193809684058,
        4.793213640215222,
        4.793233470746386,
        4.793253301277549,
        4.7932731318087125,
        4.793292962339876,
        4.793312792871039,
        4.793332623402203,
        4.793352453933367,
        4.793372284464531,
        4.793392114995695,
        4.793411945526858,
        4.793431776058021,
        4.793451606589185,
        4.793471437120349,
        4.793491267651513,
        4.793511098182677,
        4.79353092871384,
        4.7935507592450035,
        4.793570589776167,
        4.793590420307331,
        4.793610250838495,
        4.793630081369658,
        4.793649911900822,
        4.793669742431986,
        4.793689572963149,
        4.793709403494312,
        4.793729234025476,
        4.793749064556639,
        4.793768895087803,
        4.793788725618966,
        4.793808556150131,
        4.7938283866812945,
        4.7938482172124575,
        4.793868047743621,
        4.793887878274785,
        4.793907708805948,
        4.793967200399439,
        4.7939870309306025,
        4.794006861461766,
        4.79402669199293,
        4.794046522524094,
        4.794066353055257,
        4.794086183586422,
        4.7941060141175855,
        4.7941258446487485,
        4.794145675179912,
        4.794165505711076,
        4.794185336242239,
        4.794205166773403,
        4.794224997304567,
        4.794244827835731,
        4.794264658366894,
        4.794284488898057,
        4.794304319429221,
        4.794324149960385,
        4.794343980491548,
        4.794363811022712,
        4.794383641553876,
        4.794403472085039,
        4.794423302616202,
        4.794443133147366,
        4.794462963678529,
        4.794482794209694,
        4.794502624740857,
        4.794522455272021,
        4.7945422858031845,
        4.7945621163343475,
        4.794581946865511,
        4.794601777396675,
        4.794621607927838,
        4.794641438459002,
        4.794780252177148,
        4.794800082708312,
        4.7948199132394755,
        4.7948397437706385,
        4.794859574301802,
        4.794879404832966,
        4.794899235364129,
        4.794919065895294,
        4.794938896426457,
        4.794958726957621,
        4.794978557488784,
        4.794998388019947,
        4.795018218551111,
        4.795038049082275,
        4.795057879613438,
        4.795077710144602,
        4.795097540675766,
        4.795117371206929,
        4.795137201738093,
        4.795157032269256,
        4.79517686280042,
        4.795196693331584,
        4.795216523862747,
        4.795236354393911,
        4.7952561849250745,
        4.7952760154562375,
        4.795295845987401,
        4.795315676518565,
        4.795335507049729,
        4.795355337580893,
        4.7953751681120576,
        4.7953949986432205,
        4.795414829174384,
        4.795434659705547,
        4.795454490236711,
        4.795474320767875,
        4.795494151299038,
        4.795513981830202,
        4.7955338123613656,
        4.7955536428925285,
        4.795573473423692,
        4.795593303954857,
        4.79561313448602,
        4.795632965017184,
        4.795652795548347,
        4.795672626079511,
        4.7956924566106744,
        4.795712287141837,
        4.795732117673001,
        4.795751948204165,
        4.795771778735328,
        4.795791609266492,
        4.795811439797657,
        4.795950253515802,
        4.7959700840469655,
        4.795989914578128,
        4.796009745109292,
        4.796029575640457,
        4.79604940617162,
        4.796069236702784,
        4.796089067233947,
        4.7961088977651105,
        4.796128728296274,
        4.796148558827437,
        4.796168389358601,
        4.796188219889765,
        4.796208050420928,
        4.796227880952092,
        4.796247711483256,
        4.796267542014419,
        4.796287372545583,
        4.796307203076746,
        4.79632703360791,
        4.796346864139074,
        4.796366694670237,
        4.796386525201401,
        4.7964063557325645,
        4.796426186263727,
        4.796446016794891,
        4.796465847326055,
        4.796485677857219,
        4.796505508388383,
        4.796525338919546,
        4.7965451694507095,
        4.796564999981874,
        4.796584830513037,
        4.796604661044201,
        4.796624491575365,
        4.796644322106528,
        4.796664152637692,
        4.7966839831688555,
        4.796703813700019,
        4.796723644231183,
        4.796743474762346,
        4.79676330529351,
        4.796783135824674,
        4.796802966355837,
        4.7968227968870005,
        4.796842627418164,
        4.796862457949327,
        4.796882288480491,
        4.796902119011655,
        4.796921949542818,
        4.796941780073983,
        4.7969616106051465,
        4.796981441136309,
        4.797001271667473,
        4.797021102198636,
        4.7970409327298,
        4.797060763260964,
        4.797080593792127,
        4.797100424323291,
        4.7971202548544545,
        4.797140085385617,
        4.797159915916782,
        4.797179746447947,
        4.79719957697911,
        4.797219407510274,
        4.797239238041437,
        4.7972590685726,
        4.797278899103764,
        4.797298729634927,
        4.797318560166091,
        4.797338390697255,
        4.797358221228418,
        4.7973780517595825,
        4.797397882290746,
        4.797417712821909,
        4.797437543353073,
        4.797457373884236,
        4.7974772044154,
        4.797497034946564,
        4.797516865477727,
        4.7975366960088905,
        4.797556526540054,
        4.797576357071217,
        4.797596187602382,
        4.797616018133546,
        4.797635848664709,
        4.797655679195873,
        4.797675509727036,
        4.797695340258199,
        4.797715170789363,
        4.797735001320526,
        4.79775483185169,
        4.797774662382854,
        4.797794492914018,
        4.797814323445182,
        4.797834153976346,
        4.797853984507509,
        4.797873815038673,
        4.797893645569836,
        4.797913476101,
        4.797933306632164,
        4.797953137163327,
        4.79797296769449,
        4.797992798225654,
        4.798012628756817,
        4.798032459287981,
        4.798052289819146,
        4.798072120350309,
        4.798091950881473,
        4.7981117814126355,
        4.798131611943799,
        4.798151442474963,
        4.798171273006126,
        4.79819110353729,
        4.798210934068454,
        4.798230764599617,
        4.798250595130781,
        4.798389408848926,
        4.79840923938009,
        4.798429069911254,
        4.798448900442417,
        4.798468730973581,
        4.798488561504746,
        4.798508392035909,
        4.7985282225670725,
        4.798548053098236,
        4.798567883629399,
        4.798587714160563,
        4.798607544691726,
        4.79862737522289,
        4.798647205754054,
        4.798667036285217,
        4.7986868668163805,
        4.798706697347544,
        4.798726527878708,
        4.798746358409872,
        4.798766188941036,
        4.798786019472199,
        4.798805850003363,
        4.7988256805345255,
        4.798845511065689,
        4.798865341596853,
        4.798885172128016,
        4.79890500265918,
        4.798924833190344,
        4.798944663721508,
        4.7989644942526715,
        4.798984324783835,
        4.799004155314998,
        4.799023985846162,
        4.799043816377326,
        4.79906364690849,
        4.799083477439654,
        4.7991033079708165,
        4.79912313850198,
        4.799142969033144,
        4.799162799564308,
        4.799182630095472,
        4.799202460626636,
        4.799222291157799,
        4.7992421216889625,
        4.799261952220125,
        4.799281782751289,
        4.799301613282453,
        4.799321443813616,
        4.79934127434478,
        4.799361104875944,
        4.7993809354071075,
        4.799400765938271,
        4.799420596469435,
        4.799440427000598,
        4.799460257531762,
        4.799480088062925,
        4.799499918594089,
        4.799519749125253,
        4.7995395796564155,
        4.799559410187579,
        4.799579240718743,
        4.799599071249906,
        4.799618901781071,
        4.799638732312236,
        4.7996585628433985,
        4.799678393374562,
        4.799698223905726,
        4.799718054436889,
        4.799737884968053,
        4.799757715499216,
        4.79977754603038,
        4.799797376561544,
        4.7998172070927065,
        4.799837037623871,
        4.799856868155035,
        4.799876698686198,
        4.799896529217362,
        4.799916359748526,
        4.799936190279689,
        4.7999560208108525,
        4.799975851342015,
        4.799995681873179,
        4.800015512404343,
        4.800035342935506,
        4.800055173466671,
        4.800075003997835,
        4.8000948345289975,
        4.800114665060161,
        4.800134495591325,
        4.800154326122488,
        4.800174156653652,
        4.800193987184815,
        4.800213817715979,
        4.800233648247143,
        4.8002534787783055,
        4.800273309309471,
        4.800293139840635,
        4.800312970371798,
        4.800332800902962,
        4.800352631434126,
        4.8003724619652886,
        4.800392292496452,
        4.800412123027615,
        4.800431953558779,
        4.800451784089943,
        4.800471614621106,
        4.80049144515227,
        4.8005112756834345,
        4.800531106214597,
        4.800550936745761,
        4.800570767276925,
        4.800590597808088,
        4.800610428339252,
        4.800630258870415,
        4.800650089401579,
        4.8006699199327425,
        4.8006897504639054,
        4.800709580995069,
        4.800729411526234,
        4.800749242057397,
        4.800769072588561,
        4.800788903119725,
        4.800808733650888,
        4.800828564182051,
        4.800848394713214,
        4.800868225244379,
        4.800888055775543,
        4.800907886306706,
        4.80092771683787,
        4.800947547369034,
        4.800967377900197,
        4.800987208431361,
        4.801007038962525,
        4.801026869493688,
        4.801046700024852,
        4.801066530556016,
        4.801086361087179,
        4.801106191618342,
        4.801126022149505,
        4.801145852680669,
        4.801165683211833,
        4.801185513742997,
        4.801205344274161,
        4.8012251748053245,
        4.8012450053364875,
        4.801264835867651,
        4.801284666398815,
        4.801304496929978,
        4.801324327461142,
        4.801344157992305,
        4.801363988523469,
        4.8013838190546325,
        4.801403649585796,
        4.80142348011696,
        4.801443310648124,
        4.801463141179287,
        4.801482971710451,
        4.8015028022416155,
        4.8015226327727785,
        4.801542463303942,
        4.801562293835105,
        4.801582124366269,
        4.801601954897433,
        4.801621785428597,
        4.801641615959761,
        4.801661446490924,
        4.801681277022087,
        4.801701107553251,
        4.801720938084415,
        4.801740768615578,
        4.801760599146742,
        4.801780429677905,
        4.801800260209069,
        4.801820090740232,
        4.801839921271396,
        4.80185975180256,
        4.801998565520704,
        4.802018396051868,
        4.802038226583032,
        4.802058057114195,
        4.80207788764536,
        4.802097718176523,
        4.802117548707687,
        4.802137379238851,
        4.802157209770015,
        4.802177040301178,
        4.802196870832342,
        4.802216701363505,
        4.8022365318946685,
        4.802256362425832,
        4.802276192956995,
        4.80229602348816,
        4.802315854019324,
        4.802335684550487,
        4.802355515081651,
        4.802375345612814,
        4.802395176143977,
        4.802415006675141,
        4.802434837206305,
        4.802454667737468,
        4.802474498268632,
        4.802494328799795,
        4.8025141593309595,
        4.802533989862123,
        4.802553820393286,
        4.80257365092445,
        4.802593481455614,
        4.802613311986777,
        4.802633142517941,
        4.8026529730491045,
        4.802732295173758,
        4.802752125704924,
        4.802771956236087,
        4.8027917867672505,
        4.802811617298414,
        4.802831447829577,
        4.802851278360741,
        4.802871108891905,
        4.802890939423068,
        4.802910769954232,
        4.802930600485395,
        4.8029504310165585,
        4.802970261547723,
        4.802990092078886,
        4.80300992261005,
        4.803029753141214,
        4.803049583672377,
        4.803069414203541,
        4.803089244734704,
        4.803109075265867,
        4.803128905797031,
        4.803148736328194,
        4.803168566859358,
        4.803188397390523,
        4.803208227921686,
        4.8032280584528495,
        4.803247888984013,
        4.803267719515176,
        4.80328755004634,
        4.803307380577504,
        4.803327211108667,
        4.803347041639831,
        4.803366872170995,
        4.803386702702158,
        4.803406533233323,
        4.803426363764486,
        4.80344619429565,
        4.803466024826814,
        4.803485855357977,
        4.8035056858891405,
        4.803525516420304,
        4.803545346951467,
        4.803565177482631,
        4.803585008013794,
        4.803604838544958,
        4.803624669076123,
        4.803644499607286,
        4.803664330138449,
        4.803684160669613,
        4.803703991200776,
        4.80372382173194,
        4.803743652263104,
        4.803763482794267,
        4.803783313325431,
        4.8038031438565945,
        4.803822974387757,
        4.803842804918921,
        4.803862635450085,
        4.803882465981249,
        4.803902296512413,
        4.803922127043576,
        4.8039419575747395,
        4.803961788105903,
        4.803981618637067,
        4.804001449168231,
        4.804021279699395,
        4.804041110230558,
        4.804060940761722,
        4.8040807712928855,
        4.804100601824049,
        4.804120432355213,
        4.804140262886376,
        4.80416009341754,
        4.804179923948704,
        4.804199754479867,
        4.8042195850110305,
        4.804239415542194,
        4.804259246073357,
        4.804279076604521,
        4.804298907135685,
        4.804318737666849,
        4.804338568198013,
        4.804358398729176,
        4.804378229260339,
        4.804398059791503,
        4.804417890322666,
        4.80443772085383,
        4.804457551384994,
        4.804477381916157,
        4.804497212447321,
        4.804517042978484,
        4.804536873509648,
        4.804556704040812,
        4.804576534571975,
        4.80459636510314,
        4.804616195634304,
        4.804636026165467,
        4.80465585669663,
        4.804675687227794,
        4.804695517758957,
        4.804715348290121,
        4.804735178821284,
        4.804755009352449,
        4.8047748398836125,
        4.8047946704147755,
        4.804814500945939,
        4.804834331477103,
        4.804854162008266,
        4.80487399253943,
        4.804893823070594,
        4.804913653601757,
        4.8049334841329205,
        4.8049533146640835,
        4.804973145195248,
        4.804992975726412,
        4.805012806257575,
        4.805032636788739,
        4.805052467319903,
        4.805072297851066,
        4.805092128382229,
        4.805111958913393,
        4.805131789444556,
        4.80515161997572,
        4.805171450506883,
        4.805191281038048,
        4.805211111569212,
        4.805230942100375,
        4.805250772631539,
        4.805270603162703,
        4.805290433693866,
        4.80531026422503,
        4.805330094756194,
        4.805349925287357,
        4.80536975581852,
        4.805389586349684,
        4.805409416880847,
        4.805429247412012,
        4.805449077943175,
        4.805468908474339,
        4.8054887390055026,
        4.805627552723647,
        4.8056473832548114,
        4.805667213785974,
        4.805687044317138,
        4.805706874848302,
        4.805726705379465,
        4.805746535910629,
        4.805766366441793,
        4.805786196972956,
        4.8058060275041194,
        4.805825858035284,
        4.805845688566447,
        4.805865519097612,
        4.805885349628775,
        4.805905180159939,
        4.8059250106911025,
        4.805944841222265,
        4.805964671753429,
        4.805984502284593,
        4.806004332815756,
        4.80602416334692,
        4.806043993878084,
        4.806063824409247,
        4.806083654940411,
        4.806103485471574,
        4.806123316002738,
        4.806143146533902,
        4.806162977065065,
        4.806182807596229,
        4.806202638127393,
        4.8062224686585555,
        4.806242299189719,
        4.806262129720883,
        4.806281960252046,
        4.80630179078321,
        4.806321621314374,
        4.806341451845538,
        4.8063612823767015,
        4.806381112907864,
        4.806400943439028,
        4.806420773970192,
        4.806440604501355,
        4.80646043503252,
        4.806480265563684,
        4.8065000960948465,
        4.80651992662601,
        4.806539757157174,
        4.806559587688338,
        4.806579418219502,
        4.806599248750665,
        4.806619079281829,
        4.8066389098129925,
        4.806658740344155,
        4.806678570875319,
        4.806698401406483,
        4.806718231937646,
        4.80673806246881,
        4.806757892999975,
        4.8067777235311375,
        4.806797554062301,
        4.806817384593464,
        4.806837215124628,
        4.806857045655792,
        4.806876876186955,
        4.806896706718119,
        4.806916537249283,
        4.8069363677804455,
        4.806956198311609,
        4.806976028842773,
        4.806995859373937,
        4.807015689905101,
        4.807035520436264,
        4.807055350967428,
        4.807075181498592,
        4.807095012029755,
        4.807114842560919,
        4.807134673092083,
        4.807154503623246,
        4.80717433415441,
        4.807194164685574,
        4.807213995216737,
        4.807233825747901,
        4.807253656279064,
        4.807273486810228,
        4.807293317341392,
        4.807313147872555,
        4.807332978403719,
        4.8073528089348825,
        4.807372639466045,
        4.807392469997209,
        4.807412300528373,
        4.807432131059537,
        4.807451961590701,
        4.807471792121864,
        4.8074916226530275,
        4.807511453184191,
        4.807531283715354,
        4.807551114246518,
        4.807570944777682,
        4.807590775308845,
        4.807610605840009,
        4.807630436371173,
        4.807650266902336,
        4.8076700974335,
        4.807689927964664,
        4.807709758495828,
        4.807729589026992,
        4.807749419558155,
        4.8077692500893185,
        4.807789080620482,
        4.807808911151645,
        4.807828741682809,
        4.807848572213973,
        4.807868402745137,
        4.807888233276301,
        4.807908063807464,
        4.807927894338627,
        4.807947724869791,
        4.807967555400954,
        4.807987385932118,
        4.808007216463282,
        4.808027046994445,
        4.808046877525609,
        4.8080667080567725,
        4.808086538587935,
        4.8081063691191,
        4.808126199650264,
        4.808146030181427,
        4.808165860712591,
        4.808185691243754,
        4.808205521774918,
        4.808225352306081,
        4.808245182837244,
        4.808265013368408,
        4.808284843899572,
        4.808304674430736,
        4.808324504961901,
        4.808344335493064,
        4.808364166024227,
        4.808383996555391,
        4.808403827086554,
        4.808423657617718,
        4.808443488148882,
        4.808463318680045,
        4.808483149211209,
        4.808502979742372,
        4.808522810273535,
        4.8085426408047,
        4.808562471335864,
        4.808582301867027,
        4.808602132398191,
        4.808621962929354,
        4.8086417934605175,
        4.808661623991681,
        4.808681454522844,
        4.808701285054008,
        4.808721115585172,
        4.808740946116335,
        4.808760776647499,
        4.808780607178663,
        4.808800437709826,
        4.80882026824099,
        4.808840098772153,
        4.808859929303317,
        4.808879759834481,
        4.808899590365644,
        4.808919420896808,
        4.808939251427972,
        4.808959081959135,
        4.808978912490299,
        4.808998743021464,
        4.809018573552627,
        4.809038404083791,
        4.8090582346149535,
        4.809078065146117,
        4.809097895677281,
        4.809236709395426,
        4.80925653992659,
        4.809276370457753,
        4.809296200988917,
        4.809316031520081,
        4.809335862051244,
        4.8093556925824075,
        4.809375523113571,
        4.809395353644734,
        4.809415184175898,
        4.809435014707063,
        4.809454845238226,
        4.80947467576939,
        4.809494506300553,
        4.809514336831716,
        4.809534167362881,
        4.809553997894044,
        4.809573828425208,
        4.809593658956372,
        4.809613489487535,
        4.8096333200186985,
        4.809653150549862,
        4.809672981081026,
        4.80969281161219,
        4.809712642143354,
        4.809732472674517,
        4.809752303205681,
        4.8097721337368435,
        4.809791964268007,
        4.809811794799171,
        4.809821710064753,
        4.810148913828953,
        4.810168744360117,
        4.8101885748912805,
        4.810208405422443,
        4.810228235953607,
        4.810248066484771,
        4.8103273886094255,
        4.810347219140589,
        4.810367049671753,
        4.810386880202916,
        4.81040671073408,
        4.810426541265243,
        4.810575270248971,
        4.811199931980624,
        4.811219762511787,
        4.811239593042952,
        4.811259423574115,
        4.811279254105279,
        4.811299084636443,
        4.811318915167606,
        4.8113387456987695,
        4.812151797476479,
        4.814828919183567,
        4.814848749714731,
        4.814868580245894,
        4.8148884107770575,
        4.814908241308221,
        4.814928071839384,
        4.814947902370548,
        4.814967732901711,
        4.814987563432875,
        4.815007393964039,
        4.815027224495203,
        4.815047055026366,
        4.81506688555753,
        4.815086716088693,
        4.815106546619858,
        4.815126377151022,
        4.815146207682185,
        4.8151660382133485,
        4.815185868744512,
        4.815205699275675,
        4.815225529806839,
        4.815245360338003,
        4.815265190869167,
        4.815285021400331,
        4.815304851931494,
        4.815324682462657,
        4.815344512993821
    ],
    "flux": [
        1.05742,
        1.03939,
        1.02136,
        1.00333,
        0.992342,
        0.994621,
        0.996708,
        0.979345,
        0.986672,
        0.993519,
        0.992324,
        0.991375,
        0.996853,
        0.993387,
        0.99903,
        0.9939,
        0.993304,
        0.997261,
        0.997206,
        0.989963,
        0.987375,
        0.967563,
        0.93869,
        0.914473,
        0.918139,
        0.948539,
        0.984888,
        1.00654,
        1.01521,
        1.01969,
        1.02009,
        1.01741,
        1.01914,
        1.02535,
        1.02402,
        1.01165,
        1.01288,
        1.0231,
        1.02293,
        1.01914,
        1.01974,
        1.02025,
        1.01102,
        1.0063,
        1.00566,
        1.01036,
        1.01498,
        1.01505,
        1.00926,
        0.996833,
        0.991745,
        1.00222,
        0.987483,
        0.982507,
        0.994994,
        1.00249,
        0.993051,
        1.00031,
        1.0039,
        1.00696,
        1.0087,
        1.00717,
        1.00177,
        0.994915,
        0.992029,
        1.01919,
        0.998236,
        0.984161,
        0.984629,
        0.983225,
        0.977402,
        0.9833,
        0.987798,
        0.992367,
        1.00396,
        1.00329,
        0.991822,
        0.992947,
        0.995337,
        0.991253,
        0.994334,
        0.995816,
        0.994763,
        0.991452,
        0.986999,
        0.986866,
        0.995335,
        0.994261,
        0.992625,
        1.0038,
        1.01263,
        1.00402,
        1.00185,
        1.02043,
        1.00033,
        1.00189,
        1.01593,
        1.02284,
        1.02095,
        1.02689,
        1.02604,
        1.01915,
        1.01369,
        1.01067,
        1.0267,
        1.04069,
        1.01551,
        1.01045,
        1.03229,
        1.04209,
        1.03302,
        1.02395,
        1.02168,
        1.0225,
        1.03402,
        1.03747,
        1.02841,
        1.02683,
        1.0313,
        1.02844,
        1.01813,
        1.02451,
        1.03678,
        1.02146,
        1.02244,
        1.01933,
        1.01572,
        1.01577,
        1.01082,
        1.01562,
        1.01093,
        1.00609,
        1.00432,
        1.00318,
        0.999825,
        0.995455,
        0.9968,
        0.9943,
        0.991506,
        0.990536,
        0.99264,
        0.996623,
        0.999578,
        0.998804,
        0.993086,
        0.990796,
        0.992309,
        0.995177,
        0.993922,
        0.990171,
        0.993557,
        0.993661,
        0.990128,
        0.984255,
        0.972681,
        0.967397,
        0.973915,
        0.978749,
        0.954363,
        0.983018,
        0.980211,
        0.974522,
        0.976125,
        0.979717,
        0.977006,
        0.970486,
        0.967783,
        0.971814,
        0.972387,
        0.97144,
        0.966865,
        0.960846,
        0.96164,
        0.964262,
        0.9668,
        0.977375,
        0.96777,
        0.965639,
        0.975088,
        0.974032,
        0.97697,
        0.980413,
        0.980596,
        0.981162,
        0.981056,
        0.979385,
        0.977591,
        0.979511,
        0.987291,
        0.988479,
        0.996135,
        0.994005,
        0.989906,
        0.991602,
        0.992152,
        0.987456,
        0.977075,
        0.99588,
        0.99791,
        0.988522,
        0.984639,
        0.993406,
        1.00777,
        1.00169,
        0.999308,
        0.994349,
        0.991077,
        0.999266,
        1.00351,
        0.967369,
        0.983844,
        0.99433,
        1.00392,
        0.992267,
        0.986191,
        1.00252,
        1.02098,
        1.01527,
        1.00964,
        1.01482,
        1.01119,
        1.00854,
        1.01095,
        1.0096,
        0.994955,
        0.988082,
        0.979911,
        0.976903,
        0.988131,
        0.985772,
        0.965564,
        0.959151,
        0.936062,
        0.920325,
        0.930942,
        0.938503,
        0.941436,
        0.943516,
        0.943175,
        0.94471,
        0.956427,
        0.960335,
        0.961558,
        0.967395,
        0.966982,
        0.972349,
        0.978455,
        0.979528,
        0.98282,
        0.98326,
        0.978396,
        0.974859,
        0.982762,
        0.988751,
        0.983743,
        1.03532,
        1.03253,
        0.993706,
        0.987536,
        0.991192,
        0.987578,
        0.984174,
        0.978396,
        0.973894,
        0.968708,
        0.961944,
        0.960864,
        0.983984,
        0.975923,
        0.964793,
        0.972308,
        0.986851,
        0.990221,
        0.983449,
        0.993522,
        0.995651,
        0.991078,
        0.989318,
        0.993295,
        0.994377,
        0.992965,
        0.994925,
        0.979636,
        0.967369,
        0.979789,
        0.987479,
        0.992078,
        0.995475,
        0.997082,
        1.00012,
        0.994245,
        0.998895,
        1.00479,
        1.00597,
        1.00173,
        0.996668,
        0.995626,
        0.993995,
        0.988095,
        0.992482,
        0.990111,
        0.972662,
        0.971355,
        0.999813,
        0.99652,
        0.971364,
        0.966443,
        0.977667,
        0.958774,
        0.947128,
        0.968834,
        0.985577,
        0.950136,
        0.944652,
        0.826696,
        0.627835,
        0.474928,
        0.448087,
        0.553624,
        0.738496,
        0.908119,
        0.989155,
        1.0243,
        1.03545,
        1.03001,
        1.02327,
        1.03153,
        1.03382,
        1.02195,
        1.01711,
        1.03417,
        1.03258,
        1.02162,
        1.02252,
        1.01937,
        1.01432,
        1.01442,
        1.01435,
        1.00862,
        1.00559,
        1.00646,
        1.0047,
        1.00256,
        1.00043,
        0.990816,
        0.984432,
        0.990585,
        0.99384,
        0.98494,
        0.981985,
        0.991073,
        0.99523,
        0.986728,
        0.983299,
        0.989779,
        0.991525,
        0.977903,
        0.967224,
        0.95742,
        0.950632,
        0.93178,
        null,
        0.637706,
        0.514926,
        0.302882,
        0.123114,
        0.0557677,
        0.0501164,
        0.0562927,
        0.0851605,
        0.160517,
        0.32386,
        0.567116,
        0.798647,
        0.908151,
        0.911796,
        0.919343,
        0.934298,
        0.914238,
        0.878798,
        0.881188,
        0.911942,
        0.962323,
        0.981514,
        0.99217,
        0.987439,
        0.981126,
        0.979316,
        0.973001,
        0.96926,
        0.970686,
        0.963341,
        0.953528,
        0.952336,
        0.951142,
        0.940544,
        0.934311,
        0.967534,
        0.955519,
        0.95697,
        0.964448,
        0.971834,
        0.97607,
        0.977063,
        0.978313,
        0.984085,
        0.986559,
        0.983958,
        0.980061,
        0.977035,
        0.975145,
        0.973347,
        0.969731,
        0.977748,
        0.969532,
        0.965198,
        0.966879,
        0.970875,
        0.969052,
        0.956932,
        0.969992,
        0.980661,
        0.947047,
        0.930696,
        0.934888,
        0.930991,
        0.91699,
        0.946289,
        0.923608,
        0.96104,
        0.963559,
        0.966346,
        0.97258,
        0.974543,
        0.972944,
        0.969873,
        0.972549,
        0.967211,
        0.962036,
        0.972372,
        0.976484,
        0.967578,
        0.974794,
        0.977992,
        0.976705,
        0.981746,
        0.982974,
        0.984337,
        0.98519,
        0.981724,
        0.976757,
        0.982604,
        0.996443,
        0.996945,
        0.996305,
        0.995625,
        0.992859,
        0.991147,
        0.999604,
        1.01948,
        0.989151,
        0.995129,
        1.01076,
        1.01624,
        1.01484,
        1.01961,
        1.02656,
        1.02051,
        1.01483,
        1.02922,
        1.04342,
        1.04169,
        1.03057,
        1.03143,
        1.03359,
        1.04116,
        1.03143,
        1.03574,
        1.03609,
        1.02764,
        1.01813,
        1.01007,
        1.0386,
        1.01164,
        1.00072,
        1.00733,
        1.01052,
        1.00407,
        1.00154,
        1.01112,
        0.997747,
        1.00751,
        1.00599,
        0.997809,
        0.992783,
        0.993182,
        0.993982,
        0.993416,
        0.989843,
        0.989415,
        0.995274,
        0.994266,
        0.993165,
        0.997867,
        1.0016,
        0.997332,
        1.00377,
        0.993512,
        0.995923,
        0.995206,
        0.995083,
        1.00339,
        1.00809,
        1.00995,
        1.01738,
        1.01461,
        1.01458,
        1.01227,
        1.00821,
        1.00694,
        1.00443,
        1.00299,
        1.00042,
        1.00057,
        1.00172,
        1.00143,
        1.00463,
        1.00795,
        1.00625,
        1.00922,
        1.01654,
        1.01848,
        1.02351,
        1.02451,
        1.02312,
        1.02583,
        1.02423,
        1.02929,
        1.02437,
        1.02084,
        1.02419,
        1.02513,
        1.0247,
        1.02391,
        1.02312,
        1.01498,
        1.01989,
        1.02032,
        1.01416,
        1.01062,
        1.00988,
        1.00546,
        1.00955,
        1.00333,
        1.00421,
        0.975721,
        1.00603,
        1.00323,
        1.00244,
        1.00339,
        1.00461,
        1.00436,
        1.00222,
        1.00221,
        1.0018,
        0.993602,
        0.991142,
        0.985189,
        0.972767,
        1.15841,
        0.995612,
        0.967032,
        0.979675,
        0.97678,
        0.956782,
        0.98308,
        0.985852,
        0.989805,
        0.990891,
        0.99036,
        0.987468,
        0.987029,
        0.987977,
        0.985754,
        0.983816,
        0.980646,
        0.973017,
        0.971348,
        0.964888,
        0.966418,
        0.983924,
        0.985113,
        0.99383,
        1.00181,
        1.00575,
        1.00848,
        1.00941,
        1.01029,
        1.00878,
        1.00839,
        1.01327,
        1.01667,
        1.01559,
        1.01182,
        1.01459,
        1.02013,
        1.01927,
        1.02323,
        1.02002,
        1.02034,
        1.02555,
        1.02514,
        1.01676,
        1.01209,
        1.01506,
        1.01373,
        1.01143,
        1.0092,
        1.00659,
        1.01246,
        1.00334,
        1.00116,
        0.999365,
        0.984476,
        0.979889,
        0.999786,
        0.996118,
        0.996186,
        0.999952,
        1.00979,
        1.0191,
        1.01257,
        1.00669,
        1.00743,
        1.00972,
        1.00456,
        1.00149,
        0.996671,
        1.00203,
        1.00313,
        1.00059,
        1.00061,
        0.998849,
        0.998782,
        0.996863,
        0.994144,
        0.993177,
        0.988946,
        0.992372,
        0.99144,
        0.982025,
        0.979036,
        0.979806,
        0.981532,
        0.980103,
        0.976678,
        0.972353,
        0.9683,
        0.972795,
        0.974188,
        0.975525,
        0.976862,
        0.978812,
        0.976363,
        0.985825,
        0.981702,
        0.977475,
        0.976993,
        0.978088,
        0.978665,
        0.978687,
        0.980196,
        0.978252,
        0.981058,
        0.980106,
        0.978206,
        0.976852,
        0.975509,
        0.96649,
        0.954828,
        0.857099,
        0.671611,
        0.484595,
        0.361187,
        0.36496,
        0.5106,
        0.722688,
        0.897914,
        0.966994,
        0.991931,
        0.998193,
        0.996694,
        0.992931,
        0.990207,
        0.980558,
        0.980887,
        0.975384,
        0.992496,
        0.995959,
        0.995655,
        0.990864,
        0.986513,
        0.992564,
        1.00012,
        0.994837,
        1.00045,
        1.00246,
        1.00277,
        1.00407,
        1.00639,
        1.00738,
        1.00208,
        1.01123,
        1.01726,
        1.00743,
        1.00501,
        1.00475,
        1.00157,
        1.00267,
        1.00016,
        1.00293,
        1.00277,
        1.00026,
        1.00505,
        1.00798,
        1.00776,
        1.00855,
        1.0052,
        1.00256,
        1.01166,
        1.00367,
        0.99803,
        0.996357,
        0.996712,
        0.997279,
        0.996599,
        0.997667,
        0.997032,
        0.987422,
        0.984328,
        0.982993,
        0.98204,
        0.988647,
        0.991144,
        0.985559,
        0.980248,
        0.974864,
        0.976482,
        0.978567,
        0.977428,
        0.971751,
        0.971077,
        0.970084,
        0.932788,
        0.870808,
        0.839455,
        0.848345,
        0.890599,
        0.943959,
        0.963727,
        0.969507,
        0.974192,
        0.978609,
        0.981226,
        0.984556,
        0.97854,
        0.981169,
        0.979705,
        0.982708,
        0.984518,
        0.981375,
        0.980697,
        0.978942,
        0.984362,
        0.982134,
        0.97765,
        0.98216,
        0.979185,
        0.980103,
        0.979099,
        0.973828,
        0.968606,
        0.95992,
        0.955493,
        0.959734,
        0.967845,
        0.977939,
        0.976011,
        0.971535,
        0.963635,
        0.965477,
        0.963447,
        0.958976,
        0.966208,
        0.961186,
        0.94976,
        null,
        0.604729,
        0.608446,
        0.481173,
        0.277344,
        0.124541,
        0.0558006,
        0.0450336,
        0.0541928,
        0.0850117,
        0.126613,
        0.21203,
        0.417839,
        0.705916,
        0.865319,
        0.900442,
        0.919822,
        0.952334,
        0.991816,
        1.00841,
        1.01617,
        1.00956,
        1.00787,
        1.0072,
        1.00106,
        0.991884,
        0.98843,
        0.987811,
        0.983661,
        0.988638,
        0.996367,
        0.997193,
        0.990888,
        0.996472,
        0.997023,
        0.992688,
        0.999785,
        1.02329,
        1.02309,
        1.02304,
        1.03024,
        1.02579,
        1.02898,
        1.03399,
        1.03942,
        1.04256,
        1.04244,
        1.04683,
        1.04347,
        1.04666,
        1.04423,
        1.04965,
        1.0502,
        1.04637,
        1.04412,
        1.04582,
        1.05253,
        1.05169,
        1.04819,
        1.05172,
        1.05077,
        1.0496,
        1.04634,
        1.03935,
        1.02366,
        1.0375,
        1.02602,
        1.03304,
        1.03731,
        1.03871,
        1.04054,
        1.03993,
        1.04011,
        1.03742,
        1.03644,
        1.03616,
        1.03788,
        1.03241,
        1.02365,
        1.02103,
        1.02464,
        1.02594,
        1.02251,
        1.02549,
        1.02649,
        1.0264,
        1.02807,
        1.02872,
        1.02491,
        1.02484,
        1.02627,
        1.02332,
        1.0239,
        1.02043,
        1.01803,
        1.01786,
        1.01594,
        1.01291,
        1.00713,
        1.00065,
        0.996631,
        0.995663,
        0.992078,
        0.988132,
        0.987094,
        0.99061,
        0.998425,
        0.999569,
        0.99865,
        1.0021,
        1.00198,
        1.00309,
        1.00519,
        1.00853,
        1.01004,
        1.01081,
        1.0118,
        1.01576,
        1.01364,
        1.01269,
        1.01422,
        1.01693,
        1.01353,
        1.01223,
        1.01281,
        1.01,
        1.00681,
        1.0084,
        1.00845,
        1.00831,
        1.0115,
        1.0104,
        1.00871,
        1.01176,
        1.01129,
        1.01102,
        1.0128,
        1.01045,
        0.995005,
        0.997505,
        1.00052,
        0.99581,
        1.00207,
        0.997931,
        0.993763,
        0.994114,
        0.993955,
        0.992552,
        0.991781,
        0.993827,
        0.984055,
        0.988608,
        0.990012,
        0.987873,
        0.98741,
        0.988761,
        0.987399,
        0.987225,
        0.985552,
        0.982944,
        0.991632,
        0.988785,
        0.982304,
        0.988739,
        0.99351,
        0.992233,
        0.996536,
        0.996228,
        0.993244,
        0.99195,
        0.987647,
        0.985567,
        0.989267,
        0.989578,
        0.988888,
        0.980575,
        0.980375,
        0.962011,
        0.984858,
        0.976751,
        0.969252,
        0.973661,
        0.978501,
        0.972966,
        0.981441,
        0.986459,
        0.989268,
        0.98833,
        0.983575,
        0.982206,
        0.97967,
        0.980254,
        0.981756,
        0.985603,
        0.975883,
        0.987038,
        0.988302,
        0.992617,
        0.994635,
        0.992649,
        0.992727,
        0.993684,
        0.995288,
        0.995761,
        0.994643,
        0.995006,
        0.991562,
        0.990996,
        0.992456,
        0.993393,
        0.993255,
        0.990047,
        0.988309,
        0.989729,
        0.983164,
        0.975108,
        0.969573,
        0.980488,
        0.978827,
        0.984815,
        0.983213,
        0.981972,
        0.982618,
        0.985217,
        0.981762,
        0.968374,
        0.977671,
        0.966166,
        0.988443,
        0.988804,
        0.988421,
        0.987269,
        0.987313,
        0.987303,
        0.985171,
        0.985269,
        0.988282,
        0.978914,
        0.979885,
        0.981666,
        0.984244,
        0.985419,
        0.984037,
        0.985633,
        0.993055,
        0.98118,
        0.981401,
        0.990667,
        0.993303,
        0.989459,
        0.984568,
        0.982125,
        0.981429,
        0.971867,
        0.932019,
        0.869013,
        0.768642,
        0.601304,
        0.45064,
        0.461352,
        0.667456,
        0.860579,
        0.960933,
        1.00144,
        1.01601,
        1.01258,
        1.00307,
        0.997496,
        0.998847,
        1.00423,
        1.00192,
        1.00455,
        1.00031,
        0.994031,
        0.9904,
        0.947139,
        0.97264,
        0.982983,
        0.991108,
        0.9822,
        0.984154,
        0.984416,
        0.984552,
        0.982926,
        0.985521,
        0.98959,
        0.987082,
        0.989031,
        0.984485,
        0.989322,
        0.990005,
        0.989263,
        0.980882,
        0.969539,
        0.974156,
        0.98214,
        0.988585,
        0.991378,
        0.996908,
        0.996215,
        0.993028,
        0.99559,
        0.998607,
        1.00287,
        1.00735,
        1.00832,
        1.00467,
        1.00913,
        1.01037,
        1.01281,
        1.01728,
        1.01746,
        1.01234,
        1.0147,
        1.00213,
        0.982274,
        0.988072,
        0.998848,
        1.0023,
        1.00357,
        1.0035,
        0.999701,
        0.987232,
        0.957846,
        0.921444,
        0.899719,
        0.913168,
        0.965704,
        0.99107,
        1.00443,
        1.00764,
        1.00612,
        1.00716,
        0.997628,
        0.991953,
        0.988803,
        0.993154,
        0.985838,
        0.980225,
        0.988091,
        0.986263,
        0.980749,
        0.980219,
        0.983046,
        0.97962,
        0.963345,
        0.97366,
        0.975044,
        0.973484,
        0.973385,
        0.965442,
        0.960171,
        0.972146,
        0.98301,
        0.978377,
        0.971346,
        0.980355,
        0.988881,
        0.989268,
        0.977865,
        0.968347,
        0.978745,
        0.981409,
        0.980503,
        0.974567,
        0.981101,
        0.982859,
        0.978292,
        0.973275,
        0.972189,
        0.978364,
        0.98899,
        0.988474,
        0.976259,
        0.987536,
        0.9901,
        0.984491,
        0.983798,
        0.983922,
        1.00199,
        0.988887,
        0.998058,
        0.994948,
        0.999528,
        1.00615,
        1.00719,
        1.00682,
        1.00989,
        1.00564,
        1.00726,
        1.026,
        1.00736,
        0.996455,
        1.00529,
        1.01279,
        1.00701,
        0.999012,
        0.999965,
        0.996177,
        1.00037,
        0.996631,
        0.988034,
        0.986673,
        0.993185,
        0.992439,
        0.992402,
        1.00021,
        1.00494,
        1.00273,
        0.999516,
        1.00204,
        1.00743,
        1.00708,
        1.00415,
        1.00227,
        1.00858,
        1.01749,
        1.013,
        1.01148,
        1.00866,
        1.00538,
        1.02181,
        1.02572,
        1.02929,
        1.02983,
        1.03047,
        1.03421,
        1.03764,
        1.03935,
        1.04195,
        1.04516,
        1.03878,
        1.03344,
        1.02889,
        1.02266,
        1.02258,
        1.01991,
        1.01495,
        1.01946,
        1.00397,
        null,
        0.639379,
        0.5969,
        0.584234,
        0.473062,
        0.26273,
        0.129823,
        0.0715277,
        0.0557866,
        0.0656,
        0.0985457,
        0.17921,
        0.348602,
        0.606302,
        0.801326,
        0.868418,
        0.886825,
        0.915744,
        0.956988,
        0.991945,
        1.00324,
        0.98877,
        0.993416,
        0.991334,
        0.985875,
        0.985006,
        0.971623,
        0.970218,
        0.981282,
        0.975752,
        0.95551,
        0.940588,
        0.954024,
        0.956926,
        0.956845,
        0.958624,
        0.964185,
        0.969313,
        0.968037,
        0.964005,
        0.958529,
        0.958021,
        0.962677,
        0.968999,
        0.965622,
        0.96082,
        0.96111,
        0.953285,
        0.952221,
        0.96697,
        0.908142,
        0.916517,
        0.930993,
        0.923348,
        null,
        0.975039,
        0.983423,
        0.996675,
        1.00247,
        0.977661,
        1.0118,
        1.02673,
        1.02694,
        1.01035,
        1.00897,
        1.00619,
        1.00062,
        1.00537,
        1.00915,
        1.00328,
        0.981184,
        0.992075,
        0.992145,
        0.985363,
        0.97989,
        0.977694,
        0.977158,
        0.975566,
        0.956698,
        0.963215,
        0.969144,
        0.97441,
        0.975861,
        0.977062,
        0.980813,
        0.985771,
        0.987805,
        0.960505,
        0.982556,
        0.979833,
        0.988697,
        0.989761,
        0.986621,
        0.988665,
        0.990609,
        0.994337,
        0.995799,
        0.998663,
        0.993173,
        0.983066,
        0.977614,
        0.975174,
        0.971845,
        0.965777,
        0.947971,
        0.957123,
        0.94869,
        0.957686,
        0.961597,
        0.981017,
        0.986362,
        0.99325,
        1.00684,
        1.01278,
        1.01492,
        1.02085,
        1.02954,
        1.0321,
        1.02585,
        1.02908,
        1.03506,
        1.03091,
        1.0304,
        1.03096,
        1.03141,
        1.03121,
        1.02569,
        1.02705,
        1.03225,
        1.02733,
        1.02787,
        1.02994,
        1.02512,
        1.01929,
        1.0192,
        1.01592,
        1.00936,
        1.00421,
        1.0011,
        1.00328,
        1.00676,
        1.00788,
        1.00661,
        1.00294,
        0.997005,
        1.0032,
        1.0007,
        1.00396,
        1.00236,
        1.00297,
        1.00282,
        1.00049,
        0.998902,
        0.998832,
        1.00078,
        0.988913,
        0.980918,
        0.986083,
        0.993664,
        0.995912,
        0.999719,
        1.00531,
        0.995289,
        0.992075,
        0.990067,
        0.987988,
        0.980092,
        0.935426,
        0.847026,
        0.709788,
        0.526782,
        0.36033,
        0.399147,
        0.606441,
        0.813421,
        0.948997,
        1.00675,
        1.01955,
        1.01731,
        1.01293,
        1.01134,
        1.00953,
        1.01385,
        1.00629,
        1.00406,
        1.00338,
        1.00168,
        0.999223,
        0.996888,
        1.00166,
        1.00009,
        0.999145,
        0.998359,
        0.996454,
        0.996606,
        0.999748,
        1.00225,
        1.0018,
        1.00037,
        1.00173,
        0.996201,
        0.99606,
        0.998733,
        1.00058,
        0.999282,
        0.997765,
        0.996694,
        0.996569,
        0.991525,
        0.991089,
        0.994891,
        0.995924,
        0.992864,
        0.989634,
        0.98649,
        0.985861,
        0.984895,
        0.985611,
        0.984974,
        0.98915,
        0.987951,
        0.984825,
        0.980777,
        0.976853,
        0.974526,
        0.978652,
        0.982416,
        0.986504,
        0.985088,
        0.978983,
        0.963936,
        0.929452,
        0.880188,
        0.846933,
        0.857276,
        0.913163,
        0.96473,
        0.987075,
        0.986188,
        0.977441,
        0.977521,
        0.982121,
        0.984772,
        0.986396,
        0.988226,
        0.987376,
        0.988138,
        0.98456,
        0.983915,
        0.985598,
        0.986748,
        0.988362,
        0.991032,
        0.991159,
        0.993905,
        0.992973,
        0.998289,
        1.00104,
        0.997103,
        0.99887,
        1.00608,
        1.00997,
        1.01221,
        1.0144,
        1.01312,
        1.0172,
        1.02105,
        1.0244,
        1.02612,
        1.0245,
        1.02259,
        1.02594,
        1.02979,
        1.03069,
        1.0331,
        1.03477,
        1.03825,
        1.04073,
        1.04024,
        1.04104,
        1.04506,
        1.04409,
        1.04147,
        1.04031,
        1.03874,
        1.04043,
        1.04225,
        1.04308,
        1.03988,
        1.03766,
        1.03332,
        1.0309,
        1.03133,
        1.03216,
        1.03154,
        1.03187,
        1.02894,
        1.02698,
        1.02601,
        1.02469,
        1.02553,
        1.02658,
        1.02444,
        1.02727,
        1.02884,
        1.02657,
        1.027,
        1.02705,
        1.02844,
        1.02971,
        1.0318,
        1.0325,
        1.03259,
        1.03513,
        1.03362,
        1.03238,
        1.03616,
        1.03749,
        1.03782,
        1.03656,
        1.03054,
        1.034,
        1.03977,
        1.0389,
        1.03841,
        1.0371,
        1.03644,
        1.03173,
        1.03279,
        1.02868,
        1.02081,
        1.01502,
        1.0071,
        1.00812,
        1.01637,
        1.02102,
        1.02108,
        1.0219,
        1.02477,
        1.02005,
        1.01798,
        1.0261,
        1.03058,
        1.03125,
        1.03138,
        1.03485,
        1.03393,
        1.02927,
        1.0348,
        1.03625,
        1.03614,
        1.03917,
        1.04215,
        1.04056,
        1.04306,
        1.04829,
        1.05213,
        1.05268,
        1.05395,
        1.05326,
        1.04754,
        1.04479,
        1.04406,
        1.04478,
        1.04632,
        1.05024,
        1.05234,
        1.04912,
        1.04688,
        1.04725,
        1.04624,
        1.04397,
        1.03867,
        1.03387,
        1.03116,
        1.03003,
        1.02731,
        1.02644,
        1.02328,
        1.01691,
        1.01401,
        1.01159,
        1.00203,
        0.996902,
        0.993208,
        0.994661,
        1.00535,
        1.01166,
        1.01153,
        1.01172,
        1.01274,
        1.01053,
        1.00816,
        1.00098,
        0.999491,
        0.995459,
        0.990588,
        0.985083,
        0.986018,
        0.989685,
        0.983648,
        0.976222,
        0.986522,
        0.995419,
        0.989681,
        0.986749,
        0.984855,
        0.987712,
        0.992197,
        0.990736,
        0.984155,
        0.985493,
        0.990546,
        0.985714,
        0.97988,
        0.9848,
        0.978811,
        0.971131,
        0.966939,
        0.961098,
        0.946999,
        0.927082,
        0.91785,
        0.879758,
        0.762562,
        0.636696,
        0.630093,
        0.633441,
        0.543461,
        0.380065,
        0.224042,
        0.116946,
        0.0672615,
        0.060273,
        0.0795756,
        0.147289,
        0.304306,
        0.53822,
        0.742934,
        0.852968,
        0.890656,
        0.914057,
        0.953683,
        1.00279,
        1.01246,
        1.0178,
        1.01227,
        1.00274,
        0.994494,
        0.990225,
        0.986564,
        0.979542,
        0.9758,
        0.97674,
        0.980958,
        0.980963,
        0.977991,
        0.974638,
        0.975478,
        0.980297,
        0.98063,
        0.974868,
        0.977947,
        0.985086,
        0.978635,
        0.97299,
        0.978395,
        0.97677,
        0.979234,
        0.982144,
        0.982613,
        0.985035,
        0.989386,
        0.994708,
        0.993212,
        0.987095,
        0.994372,
        0.996302,
        0.994994,
        0.994632,
        0.992237,
        0.98518,
        0.980572,
        0.982133,
        0.948627,
        0.97162,
        0.991738,
        0.995222,
        0.991514,
        0.993677,
        0.99685,
        0.995984,
        0.994421,
        0.993036,
        0.995866,
        0.999508,
        1.00289,
        1.00231,
        0.997967,
        0.993928,
        0.991946,
        0.992348,
        0.992155,
        0.987988,
        0.985015,
        0.983689,
        0.983524,
        0.98798,
        0.989521,
        0.985401,
        0.985184,
        0.988721,
        0.98954,
        0.988912,
        0.993949,
        0.999741,
        1.00098,
        0.998858,
        1.00063,
        1.00115,
        0.998862,
        1.00012,
        1.0029,
        1.0016,
        0.998947,
        0.992317,
        0.983786,
        0.992264,
        0.995981,
        0.987192,
        0.980099,
        0.977799,
        0.983404,
        0.990865,
        0.989423,
        0.988036,
        0.992017,
        0.995104,
        0.993451,
        0.991902,
        0.997347,
        1.00082,
        1.001,
        0.998284,
        0.995433,
        0.998978,
        1.00099,
        1.00354,
        0.998755,
        0.996436,
        0.997078,
        0.995381,
        0.987208,
        0.953816,
        0.891292,
        0.804525,
        0.674508,
        0.514616,
        0.412498,
        0.452993,
        0.599313,
        0.779666,
        0.920028,
        0.97731,
        0.987443,
        0.998523,
        1.00566,
        1.00861,
        1.00357,
        1.00267,
        1.00107,
        0.993148,
        0.993524,
        1.00447,
        1.00646,
        1.00406,
        1.01237,
        1.01414,
        1.01851,
        1.01395,
        1.00774,
        1.00471,
        1.01791,
        1.01614,
        1.01571,
        1.02192,
        1.02492,
        1.02415,
        1.02201,
        1.02079,
        1.01343,
        1.00905,
        1.00685,
        1.01231,
        1.01625,
        1.01171,
        1.0057,
        1.00396,
        1.00134,
        1.00389,
        1.01888,
        1.00745,
        1.00871,
        1.00394,
        1.00689,
        1.00771,
        0.997401,
        0.992823,
        1.00357,
        1.00168,
        0.988941,
        0.987362,
        0.968007,
        0.934478,
        0.889813,
        0.866729,
        0.872563,
        0.912219,
        0.964074,
        0.985993,
        0.981596,
        0.999429,
        1.00459,
        1.00441,
        1.00255,
        1.00501,
        1.00444,
        0.995637,
        1.04807,
        0.999776,
        1.00995,
        1.0164,
        1.0136,
        1.00728,
        1.00675,
        0.995163,
        0.842885,
        0.808593,
        0.981712,
        1.00044,
        1.00314,
        1.00682,
        1.00262,
        1.01099,
        1.0103,
        1.00956,
        1.01464,
        1.01826,
        1.01464,
        1.00755,
        1.00701,
        1.02056,
        1.01487,
        1.01269,
        1.00622,
        1.00694,
        1.01127,
        1.01386,
        1.01261,
        1.00655,
        1.00519,
        1.0239,
        1.04739,
        1.03125,
        1.02682,
        1.03186,
        1.0377,
        1.03736,
        1.03589,
        1.03256,
        1.0215,
        1.01475,
        1.03173,
        1.04366,
        1.04206,
        1.02767,
        1.02998,
        1.03886,
        1.03986,
        1.03537,
        1.03706,
        1.04257,
        1.04008,
        1.00532,
        1.00695,
        1.01824,
        1.03154,
        1.03877,
        1.03386,
        1.02575,
        1.01622,
        1.01726,
        1.01811,
        1.02753,
        1.03546,
        1.03734,
        1.03247,
        1.03102,
        1.02854,
        1.02858,
        1.02307,
        1.02578,
        1.03178,
        1.03108,
        1.03161,
        1.03786,
        1.03943,
        1.03292,
        1.03014,
        1.03281,
        1.02763,
        1.03183,
        1.03014,
        1.02097,
        1.01241,
        1.00807,
        1.00654,
        1.01223,
        1.02319,
        1.02214,
        1.01539,
        1.00781,
        1.0053,
        1.00197,
        0.99772,
        0.995161,
        0.994194,
        0.994661,
        0.998973,
        1.00678,
        1.00941,
        1.00069,
        1.00323,
        1.0064,
        1.01023,
        1.01054,
        1.01265,
        1.01546,
        1.00958,
        1.00607,
        1.00053,
        0.98627,
        1.02348,
        1.0371,
        1.02258,
        1.01115,
        1.00676,
        1.00651,
        1.01321,
        1.02332,
        1.02957,
        1.03261,
        1.03109,
        1.02287,
        1.0204,
        1.03206,
        1.03478,
        1.03828,
        1.03354,
        1.03,
        1.03456,
        1.03324,
        1.03056,
        1.02575,
        1.02415,
        1.01994,
        1.0184,
        1.01824,
        1.01549,
        1.01008,
        1.00847,
        1.00333,
        1.0038,
        1.00508,
        0.994227,
        0.992244,
        0.993218,
        0.991158,
        0.991225,
        0.988624,
        0.991721,
        0.989806,
        0.988845,
        0.985275,
        0.983068,
        0.982411,
        0.976517,
        0.971842,
        0.968842,
        0.972221,
        0.978078,
        0.976683,
        0.974717,
        0.973249,
        0.974205,
        0.983945,
        0.986719,
        0.982786,
        0.981597,
        0.978874,
        0.983151,
        0.980961,
        0.975639,
        0.974926,
        0.972415,
        0.968477,
        0.965403,
        0.973514,
        0.970737,
        0.963723,
        0.962468,
        0.97859,
        0.973001,
        0.97667,
        0.972139,
        0.973259,
        0.974468,
        0.972759,
        0.969584,
        0.964962,
        0.97118,
        0.965696,
        0.970951,
        0.972638,
        0.974328,
        0.979076,
        0.977985,
        0.975795,
        0.975781,
        0.975446,
        0.975276,
        0.968882,
        0.973876,
        0.967379,
        0.966622,
        0.970634,
        0.962871,
        0.965004,
        0.966199,
        0.963879,
        0.964584,
        0.97017,
        0.972787,
        0.974547,
        0.978871,
        0.98712,
        0.987438,
        0.981492,
        0.980411,
        0.97689,
        0.974378,
        0.972071,
        0.972593,
        0.975899,
        0.979847,
        0.989014,
        0.981183,
        0.980145,
        0.992314,
        0.99285,
        0.984124,
        0.972052,
        0.965027,
        0.95969,
        0.952098,
        0.950024,
        0.9579,
        0.953273,
        0.942226,
        0.931657,
        0.931251,
        0.94336,
        0.940018,
        0.945883,
        0.953061,
        null,
        0.737951,
        0.597755,
        0.583369,
        0.577136,
        0.491507,
        0.397216,
        0.286178,
        0.16476,
        0.0849573,
        0.0718514,
        0.09712,
        0.166059,
        0.317149,
        0.561807,
        0.768533,
        0.851631,
        0.873494,
        0.896237,
        0.935118,
        0.981046,
        1.01366,
        1.0119,
        1.01287,
        1.00269,
        0.998797,
        0.997439,
        0.996401,
        0.995485,
        0.996797,
        0.994099,
        0.993838,
        0.989816,
        0.988878,
        0.991993,
        0.99246,
        1.00072,
        1.00344,
        1.00345,
        0.996714,
        1.00008,
        1.00593,
        1.0074,
        1.00948,
        1.00568,
        0.998799,
        0.994635,
        0.987178,
        0.982047,
        0.986773,
        0.988253,
        0.975049,
        0.976721,
        0.97641,
        0.987895,
        0.99271,
        0.990542,
        0.991261,
        0.991407,
        0.995492,
        0.990183,
        0.988276,
        0.989806,
        0.982893,
        0.968067,
        0.928794,
        0.868912,
        0.793565,
        0.651565,
        0.477993,
        0.356193,
        0.334838,
        0.460581,
        0.697288,
        0.905698,
        0.989959,
        1.01212,
        1.01301,
        1.00785,
        0.999975,
        1.00281,
        1.00105,
        1.00357,
        1.00349,
        1.00235,
        1.0033,
        1.00248,
        0.998924,
        0.991024,
        0.991248,
        0.987305,
        0.987489,
        0.98306,
        0.979943,
        0.974409,
        0.97169,
        0.978892,
        0.990877,
        0.981534,
        0.967676,
        0.972406,
        0.980029,
        0.980763,
        0.980692,
        0.978949,
        0.982655,
        0.984436,
        0.979783,
        0.975142,
        0.97218,
        0.965444,
        0.963045,
        0.965279,
        0.95792,
        0.954425,
        0.947452,
        0.940488,
        0.940193,
        0.932763,
        0.914659,
        0.884167,
        0.848991,
        0.85094,
        0.885203,
        0.929313,
        0.977971,
        0.971005,
        0.965634,
        0.976545,
        0.982899,
        0.981997,
        0.983095,
        0.984923,
        0.98589,
        0.991187,
        0.991074,
        0.997556,
        0.995845,
        1.00448,
        1.00332,
        1.00014,
        1.00247,
        1.00944,
        1.01459,
        1.01219,
        1.01498,
        1.01957,
        1.01757,
        1.01466,
        1.00383,
        1.0131,
        1.02536,
        1.02428,
        1.02034,
        1.01312,
        1.00867,
        1.00771,
        1.00703,
        1.01231,
        1.0172,
        1.01693,
        1.01873,
        1.01809,
        1.02155,
        1.02241,
        1.01778,
        1.01918,
        1.02084,
        1.01423,
        1.00856,
        1.00318,
        1.00139,
        1.00159,
        0.99864,
        0.995861,
        0.995197,
        0.993389,
        0.994618,
        0.99166,
        0.986677,
        0.987954,
        0.984447,
        0.980999,
        0.977006,
        0.974082,
        0.97725,
        0.981514,
        0.979055,
        0.977459,
        0.977436,
        0.979486,
        0.967753,
        0.970315,
        0.98319,
        0.991145,
        0.992569,
        0.989963,
        0.988222,
        0.989451,
        0.98703,
        0.985221,
        0.982573,
        0.981604,
        0.974664,
        0.968813,
        0.966536,
        0.971442,
        0.97488,
        0.973713,
        0.978699,
        0.987519,
        0.975891,
        0.971676,
        0.966311,
        0.977305,
        0.987547,
        0.985015,
        0.985775,
        0.989672,
        0.990534,
        0.989707,
        0.990804,
        0.991085,
        0.99168,
        0.990905,
        0.996987,
        0.996349,
        0.991316,
        0.98267,
        0.98015,
        0.987894,
        0.995218,
        0.998478,
        0.982062,
        0.996103,
        1.00257,
        1.00289,
        1.00893,
        1.00959,
        1.01004,
        1.00991,
        1.01059,
        1.01681,
        1.02135,
        1.02405,
        1.02655,
        1.02976,
        1.02811,
        1.03166,
        1.03821,
        1.02017,
        0.894023,
        1.02327,
        1.04754,
        1.04515,
        1.01522,
        1.01892,
        1.04139,
        1.05209,
        1.04941,
        1.0594,
        1.06019,
        1.06044,
        1.0571,
        1.05197,
        1.03707,
        0.998902,
        0.998819,
        0.989502,
        1.00379,
        1.03521,
        1.0393,
        1.03451,
        1.02647,
        1.0242,
        1.02307,
        1.0232,
        1.02026,
        1.01631,
        1.01722,
        1.01407,
        1.01472,
        1.01545,
        1.01279,
        1.00774,
        1.00142,
        0.995728,
        0.995842,
        0.995537,
        0.994837,
        0.996398,
        0.982298,
        0.977631,
        0.984966,
        0.997038,
        1.00541,
        1.00706,
        1.00116,
        0.998368,
        0.991556,
        1.00816,
        1.01849,
        1.01592,
        1.01218,
        1.00625,
        1.00191,
        1.00741,
        1.0146,
        1.01332,
        1.01365,
        1.01279,
        1.01565,
        1.01934,
        1.01891,
        1.01644,
        1.01571,
        1.02024,
        1.01688,
        1.01785,
        1.01954,
        1.02604,
        1.03039,
        1.02646,
        1.02214,
        1.02288,
        1.02539,
        1.02735,
        1.02455,
        1.01811,
        1.01686,
        1.01694,
        1.01587,
        1.00998,
        0.997748,
        0.992429,
        0.983491,
        0.980643,
        0.981951,
        0.981575,
        0.977258,
        0.9843,
        1.00092,
        1.00731,
        1.00544,
        1.00912,
        1.01141,
        1.01619,
        1.01338,
        1.01095,
        1.00963,
        1.00755,
        1.00174,
        1.00991,
        1.01244,
        1.00535,
        1.01082,
        1.01031,
        1.00878,
        1.00368,
        1.0109,
        1.0072,
        1.00369,
        1.01833,
        1.01463,
        1.01648,
        1.01964,
        1.02438,
        1.02644,
        1.02671,
        1.02323,
        1.02318,
        1.01864,
        1.02625,
        1.02333,
        1.01809,
        1.01383,
        1.01123,
        1.01259,
        1.01189,
        1.00849,
        1.00626,
        1.00341,
        1.00296,
        0.995057,
        0.987863,
        0.985726,
        0.98712,
        0.989515,
        0.986002,
        0.983039,
        0.981455,
        0.981763,
        0.983677,
        0.98034,
        0.975771,
        0.975918,
        0.993223,
        0.989972,
        0.98767,
        0.977205,
        0.980128,
        0.985504,
        0.986145,
        0.983682,
        0.982688,
        0.984772,
        0.988504,
        0.990627,
        0.986011,
        0.982283,
        0.983243,
        0.983353,
        0.981257,
        0.980928,
        0.975893,
        0.968985,
        0.966819,
        0.971249,
        0.981063,
        0.989195,
        0.978483,
        0.964671,
        0.968832,
        0.967195,
        0.96523,
        0.963239,
        0.968234,
        0.977621,
        0.982917,
        0.984162,
        0.98808,
        0.992481,
        0.989687,
        0.994509,
        0.995058,
        0.988776,
        0.99041,
        0.99339,
        0.994254,
        0.992523,
        0.992328,
        0.994507,
        0.99121,
        0.983066,
        0.984844,
        0.980452,
        0.983022,
        0.993972,
        1.01665,
        1.01904,
        0.995037,
        0.990801,
        0.988823,
        0.9807,
        0.974654,
        0.971767,
        0.972,
        0.975702,
        0.975222,
        0.97806,
        0.95663,
        0.949484,
        0.940584,
        0.754052,
        0.565289,
        0.443293,
        0.372001,
        0.289814,
        0.188624,
        0.10933,
        0.0748914,
        0.0650664,
        0.0625185,
        0.083036,
        0.124515,
        0.234688,
        0.453757,
        0.685138,
        0.817388,
        0.864735,
        0.889777,
        0.928279,
        0.975619,
        1.00632,
        1.00719,
        0.99818,
        0.996728,
        0.992678,
        0.984894,
        0.978899,
        0.977703,
        0.977792,
        0.992738,
        0.992681,
        0.992882,
        0.996528,
        0.985442,
        0.972013,
        0.971977,
        0.978689,
        0.981893,
        0.991801,
        1.00576,
        1.01766,
        1.00641,
        0.999712,
        0.996227,
        0.999523,
        1.00608,
        1.0046,
        0.996119,
        0.983426,
        0.959365,
        0.918971,
        0.901843,
        0.92835,
        0.965633,
        1.00149,
        1.0181,
        1.02433,
        1.02835,
        1.03369,
        1.03849,
        1.03818,
        1.03908,
        1.04348,
        1.04356,
        1.03718,
        1.03917,
        1.03622,
        1.03009,
        1.03234,
        1.03194,
        1.03286,
        1.03268,
        1.02668,
        1.02288,
        1.01843,
        1.0145,
        1.0093,
        1.02344,
        1.02656,
        1.01728,
        1.00601,
        0.993656,
        0.990276,
        0.992326,
        0.993146,
        0.992278,
        0.992642,
        0.996223,
        0.998486,
        0.999309,
        0.988915,
        0.986096,
        0.995976,
        0.996613,
        0.995457,
        0.994825,
        0.992057,
        0.989684,
        0.990741,
        0.990114,
        0.983985,
        0.983863,
        0.989362,
        0.986239,
        0.984222,
        0.998836,
        1.007,
        0.993244,
        0.985122,
        0.984936,
        0.986607,
        0.990641,
        0.995802,
        0.998887,
        1.00134,
        0.997283,
        0.994458,
        0.998746,
        0.997926,
        0.99976,
        1.00505,
        1.00493,
        1.00875,
        1.01241,
        1.01346,
        1.0132,
        1.01051,
        1.01393,
        1.01832,
        1.01902,
        1.02157,
        1.02652,
        1.02261,
        1.01893,
        1.01601,
        1.01614,
        1.01616,
        1.01115,
        1.00499,
        1.01098,
        1.03171,
        1.04202,
        1.03303,
        1.02267,
        1.01754,
        1.0237,
        1.02138,
        1.02134,
        1.01868,
        1.01237,
        0.99113,
        0.981062,
        0.99026,
        0.977219,
        0.96237,
        0.998,
        0.990673,
        0.989042,
        0.990246,
        1.00587,
        1.03502,
        1.03839,
        1.02022,
        1.00541,
        0.999157,
        0.987061,
        0.973018,
        0.979491,
        0.996269,
        0.993108,
        0.997117,
        0.996586,
        0.994019,
        0.991609,
        0.998192,
        0.996905,
        0.996506,
        0.999154,
        1.00007,
        0.998175,
        0.995993,
        0.995481,
        0.988261,
        0.986743,
        0.987271,
        0.998197,
        1.0127,
        1.00776,
        0.998639,
        0.999275,
        0.997744,
        1.00005,
        1.00806,
        1.01152,
        1.01058,
        1.00771,
        1.0053,
        1.02091,
        1.058,
        1.07557,
        1.02715,
        1.00811,
        1.01475,
        1.02006,
        1.02445,
        1.02775,
        1.02563,
        1.02581,
        1.03412,
        1.03837,
        1.04438,
        1.04495,
        1.04559,
        1.03713,
        1.03476,
        1.03431,
        1.04998,
        1.03798,
        1.04042,
        1.05289,
        1.05498,
        1.06002,
        1.05949,
        1.06204,
        1.05899,
        1.06158,
        1.06072,
        1.07107,
        1.07119,
        1.06372,
        1.05619,
        1.0575,
        1.05658,
        1.05261,
        1.04922,
        1.04324,
        1.03613,
        1.02825,
        1.01486,
        1.01715,
        1.02353,
        1.02202,
        1.02664,
        1.02131,
        1.01107,
        1.0079,
        1.00697,
        1.0041,
        0.999788,
        0.993765,
        0.986223,
        0.993354,
        1.01709,
        0.997503,
        0.97356,
        0.963463,
        0.971063,
        0.997259,
        1.00707,
        0.990067,
        0.976358,
        0.982408,
        0.986768,
        0.985958,
        0.989185,
        0.988737,
        0.989369,
        0.9896,
        0.990852,
        0.990984,
        0.995354,
        0.994138,
        0.99137,
        0.988443,
        0.988829,
        0.989907,
        0.98943,
        0.993092,
        0.991615,
        0.997394,
        0.994956,
        0.994094,
        0.990833,
        0.991592,
        0.99137,
        0.994571,
        0.991744,
        0.968707,
        0.959692,
        0.971958,
        0.975261,
        0.971902,
        0.981364,
        0.983198,
        0.973035,
        0.972975,
        0.971358,
        0.984533,
        0.98201,
        0.969957,
        0.976452,
        1.00014,
        1.00516,
        0.986996,
        0.97398,
        0.970119,
        0.96627,
        0.96359,
        0.961914,
        0.95625,
        0.943587,
        0.93524,
        0.932703,
        0.926384,
        0.890222,
        0.961625,
        0.962108,
        0.960994,
        0.956953,
        0.960857,
        0.95822,
        0.959019,
        0.959645,
        0.986807,
        1.01488,
        0.997808,
        0.983947,
        0.988051,
        0.9948,
        0.996796,
        0.994402,
        0.997056,
        0.994479,
        0.996536,
        0.998638,
        0.99409,
        0.994872,
        0.994457,
        0.994577,
        0.993782,
        1.00196,
        0.997872,
        0.985319,
        0.983358,
        0.985091,
        0.990834,
        0.997237,
        0.999583,
        0.99058,
        0.989164,
        0.990587,
        0.990056,
        0.990138,
        0.994427,
        0.9832,
        0.953564,
        0.91282,
        0.896153,
        0.91552,
        0.971845,
        0.97969,
        0.975831,
        0.983981,
        0.988464,
        0.994792,
        1.01487,
        0.996807,
        0.988439,
        0.988493,
        0.990893,
        0.991022,
        0.992036,
        0.989802,
        0.982337,
        0.976521,
        0.997461,
        1.02735,
        1.00754,
        0.995533,
        0.994514,
        0.998353,
        1.00166,
        1.00727,
        1.00649,
        1.00829,
        1.01014,
        1.01032,
        1.01083,
        1.01293,
        1.00985,
        1.01561,
        1.01666,
        1.01344,
        1.0159,
        1.01422,
        1.01043,
        1.00922,
        1.00844,
        1.01063,
        1.01248,
        1.00976,
        1.00158,
        1.00083,
        1.01451,
        1.01954,
        0.989121,
        0.958555,
        0.926673,
        0.876086,
        0.774362,
        0.648682,
        0.516724,
        0.460836,
        0.601589,
        0.829303,
        0.973586,
        1.01463,
        1.01702,
        1.01562,
        1.01409,
        1.00894,
        1.01271,
        1.02975,
        1.0298,
        1.01869,
        1.03207,
        1.03073,
        1.02847,
        1.03394,
        1.04145,
        1.04538,
        1.04542,
        1.04193,
        1.03298,
        1.02634,
        1.03108,
        1.031,
        1.01936,
        1.01543,
        1.03369,
        1.05178,
        1.03664,
        1.02581,
        1.02647,
        1.02659,
        1.02788,
        1.02533,
        1.0124,
        1.00129,
        0.991214,
        0.96672,
        0.929521,
        0.892068,
        0.860415,
        0.861243,
        0.915557,
        0.952984,
        0.960124,
        0.952892,
        0.959367,
        0.938737,
        0.899498,
        0.844654,
        0.94703,
        0.887119,
        0.733246,
        0.60682,
        0.632803,
        0.610909,
        0.559729,
        0.480622,
        0.326645,
        0.166069,
        0.0882694,
        0.0809943,
        0.114715,
        0.220479,
        0.420956,
        0.648274,
        0.804172,
        0.866079,
        0.888498,
        0.919638,
        0.970766,
        1.00498,
        1.01531,
        1.01557,
        1.00695,
        0.997861,
        0.997037,
        0.994783,
        0.994489,
        0.994217,
        0.992485,
        0.988277,
        0.983905,
        0.984352,
        0.987026,
        0.986061,
        0.983943,
        0.980653,
        0.984865,
        0.983606,
        0.98819,
        0.990029,
        0.994196,
        0.993211,
        0.986133,
        0.976656,
        0.987502,
        0.995307,
        0.997118,
        0.989795,
        0.98112,
        0.974937,
        0.982074,
        1.01165,
        1.01713,
        0.984107,
        0.981038,
        0.994828,
        1.0038,
        1.0077,
        1.01403,
        1.01185,
        1.013,
        1.017,
        1.01616,
        1.0193,
        1.01979,
        1.01812,
        1.02017,
        1.02249,
        1.0241,
        1.02501,
        1.01851,
        1.01418,
        1.01744,
        1.01564,
        1.02007,
        1.01793,
        1.01602,
        1.01764,
        1.01903,
        1.01088,
        1.00681,
        1.02598,
        1.0467,
        1.04486,
        1.03006,
        1.02547,
        1.03591,
        1.04453,
        1.04364,
        1.0455,
        1.04459,
        1.0427,
        1.04076,
        1.04375,
        1.04099,
        1.04234,
        1.03955,
        1.02955,
        1.02951,
        1.03743,
        1.03411,
        1.02996,
        1.02564,
        1.02743,
        1.03006,
        1.02885,
        1.029,
        1.02897,
        1.02831,
        1.02145,
        1.01788,
        1.01778,
        1.01886,
        1.01152,
        1.00364,
        1.00199,
        1.02122,
        1.0222,
        1.01335,
        1.00074,
        1.00015,
        0.998224,
        0.994446,
        0.99779,
        1.00482,
        1.00464,
        0.995026,
        0.988095,
        0.989958,
        1.00822,
        1.02791,
        1.01938,
        1.01311,
        1.00907,
        1.0105,
        1.01898,
        1.01733,
        1.01343,
        1.01378,
        1.01907,
        1.02071,
        1.02057,
        1.02058,
        1.02476,
        1.03099,
        1.03022,
        1.03028,
        1.03755,
        1.03969,
        1.03323,
        1.03931,
        1.04111,
        1.03798,
        1.03015,
        1.02975,
        1.034,
        1.03322,
        1.01807,
        1.01363,
        1.01348,
        1.02732,
        1.03531,
        1.02411,
        1.01651,
        1.02311,
        1.02384,
        1.01527,
        1.01731,
        1.01173,
        1.01323,
        1.01718,
        1.01537,
        1.00736,
        1.0059,
        1.00647,
        0.998883,
        0.996449,
        0.998681,
        0.994582,
        0.99237,
        0.986312,
        0.978664,
        0.975533,
        0.977097,
        0.972764,
        0.99385,
        0.998636,
        1.00324,
        1.0102,
        1.01321,
        1.01259,
        1.03322,
        1.05526,
        1.0487,
        1.03852,
        1.0455,
        1.05277,
        1.05136,
        1.04671,
        1.04802,
        1.04065,
        1.03641,
        1.03034,
        1.02243,
        1.02907,
        1.03606,
        1.02421,
        1.01632,
        1.0092,
        1.00769,
        1.00049,
        0.990931,
        0.982889,
        0.981981,
        0.993875,
        1.00351,
        1.00319,
        1.00249,
        1.00062,
        0.999967,
        1.00423,
        0.998361,
        0.991646,
        0.988064,
        1.01615,
        1.01811,
        0.996262,
        0.986515,
        0.997562,
        1.00666,
        1.01272,
        1.01418,
        1.01616,
        1.02,
        1.02047,
        1.0187,
        1.01771,
        1.02051,
        1.02085,
        1.019,
        1.01431,
        1.01879,
        1.02117,
        1.02376,
        1.01856,
        1.0154,
        1.00922,
        1.00661,
        1.00593,
        1.00665,
        1.00649,
        1.00606,
        1.0017,
        1.00336,
        1.00548,
        1.00584,
        1.00487,
        1.00643,
        1.00734,
        1.00316,
        1.00345,
        1.0027,
        1.00009,
        0.994247,
        0.987389,
        0.986528,
        0.983698,
        0.978575,
        0.977162,
        0.990636,
        0.997224,
        0.993585,
        0.987728,
        0.986172,
        0.985349,
        0.97991,
        0.974343,
        0.98592,
        1.011,
        1.00834,
        0.993532,
        0.998403,
        0.992739,
        0.987692,
        0.990556,
        0.990044,
        0.991477,
        0.987661,
        0.977595,
        0.980289,
        0.978185,
        0.979612,
        0.995416,
        0.99331,
        0.993199,
        0.99539,
        0.993076,
        0.990849,
        0.993761,
        0.997159,
        0.997915,
        0.997891,
        0.998633,
        0.998456,
        0.997491,
        0.996492,
        1.0062,
        0.999539,
        0.998869,
        1.00256,
        1.01128,
        1.01677,
        1.01837,
        1.01267,
        1.01092,
        1.01094,
        1.01114,
        1.01059,
        1.00706,
        1.00841,
        1.01367,
        1.01925,
        1.01908,
        1.01676,
        1.0284,
        1.01952,
        1.02341,
        1.03068,
        1.02935,
        1.02963,
        1.03061,
        1.03152,
        1.02546,
        1.02679,
        1.0287,
        1.03188,
        1.03073,
        1.02943,
        1.02708,
        1.03307,
        1.03424,
        1.02537,
        1.02517,
        1.02798,
        1.02487,
        1.03933,
        1.03056,
        1.02116,
        1.01817,
        1.01734,
        1.01075,
        1.01116,
        1.01734,
        1.0341,
        1.02867,
        1.01615,
        1.00757,
        1.01001,
        1.01005,
        1.00634,
        0.998998,
        0.992281,
        0.999701,
        1.00168,
        0.993489,
        0.98554,
        0.985125,
        0.984678,
        0.987206,
        0.988083,
        0.987648,
        0.986783,
        0.988939,
        0.994682,
        0.992619,
        0.993554,
        0.988974,
        0.983127,
        0.986309,
        0.97597,
        0.952867,
        0.936879,
        0.900257,
        0.871655,
        0.900493,
        0.960102,
        0.986636,
        0.992816,
        0.988578,
        0.997258,
        1.00061,
        0.992567,
        0.993357,
        0.995376,
        0.995878,
        0.993517,
        0.996038,
        0.999726,
        0.997543,
        0.998173,
        1.00287,
        1.00236,
        1.00593,
        1.00972,
        1.01401,
        1.0181,
        1.01512,
        1.01382,
        1.01665,
        1.01883,
        1.01692,
        1.01385,
        1.01094,
        1.00944,
        1.01359,
        1.01764,
        1.02555,
        1.03251,
        1.0164,
        1.01157,
        1.0104,
        1.00824,
        1.00599,
        1.00429,
        1.00211,
        0.999537,
        1.00385,
        1.01287,
        1.02363,
        1.03471,
        1.03075,
        1.02114,
        1.02339,
        1.03413,
        1.0435,
        1.04813,
        1.0497,
        1.03992,
        1.03229,
        1.03945,
        1.04249,
        1.04367,
        1.04744,
        1.04004,
        1.03734,
        1.02708,
        1.02876,
        1.03017,
        1.03015,
        1.026,
        1.02463,
        1.02346,
        1.02482,
        1.01864,
        1.01488,
        1.01022,
        1.00303,
        1.00033,
        1.00953,
        0.996646,
        0.986328,
        0.960736,
        0.974659,
        0.896644,
        0.762224,
        0.693061,
        0.72054,
        0.721267,
        0.668791,
        0.591819,
        0.438608,
        0.228765,
        0.11205,
        0.0918935,
        0.114183,
        0.210544,
        0.421364,
        0.65954,
        0.820748,
        0.872198,
        0.888558,
        0.917402,
        0.967242,
        1.00366,
        1.00996,
        1.00621,
        1.00121,
        0.995675,
        0.987184,
        0.979432,
        0.978389,
        0.979712,
        0.977392,
        0.984324,
        0.985899,
        0.982565,
        0.97849,
        0.970522,
        0.977206,
        0.986083,
        0.988685,
        0.982719,
        0.976769,
        0.971869,
        0.970922,
        0.970867,
        0.976118,
        0.982001,
        0.981662,
        0.988454,
        0.994555,
        0.987158,
        0.979811,
        0.984064,
        0.981227,
        0.988858,
        0.992561,
        0.993286,
        0.985609,
        0.985305,
        0.992035,
        0.996499,
        0.995815,
        0.99917,
        1.00409,
        1.00601,
        1.00808,
        1.00992,
        1.0103,
        1.00789,
        1.0117,
        1.01114,
        1.01144,
        1.014,
        1.01789,
        1.01565,
        1.01656,
        1.01425,
        1.02077,
        1.02943,
        1.02333,
        1.02004,
        1.02631,
        1.02404,
        1.03245,
        1.04475,
        1.02856,
        1.02309,
        1.03246,
        1.03466,
        1.03365,
        1.03363,
        1.04126,
        1.04317,
        1.03523,
        1.02631,
        1.02555,
        1.02535,
        1.03019,
        1.02922,
        1.02548,
        1.02972,
        1.02555,
        1.02779,
        1.02287,
        1.03173,
        1.03043,
        1.02943,
        1.03639,
        1.03408,
        1.02859,
        1.02679,
        1.02631,
        1.02135,
        1.01606,
        1.01742,
        1.01196,
        1.01146,
        1.01933,
        1.02198,
        1.0224,
        1.0118,
        0.999776,
        0.977873,
        0.948804,
        0.980022,
        0.992353,
        1.00257,
        1.00797,
        0.997252,
        0.990913,
        0.991483,
        0.991001,
        0.987359,
        0.988339,
        0.987325,
        0.986369,
        0.981367,
        0.980996,
        0.983907,
        0.986217,
        0.983021,
        0.976167,
        0.981235,
        0.987491,
        0.980522,
        0.983812,
        0.97407,
        0.981542,
        1.00495,
        null,
        1.02345,
        1.03275,
        1.03603,
        1.04227,
        1.04758,
        1.05332,
        1.05841,
        1.06027,
        1.05741,
        1.05328,
        1.05766,
        1.06,
        1.05909,
        1.05365,
        1.05715,
        1.04644,
        1.03597,
        1.01772,
        1.02145,
        1.03403,
        1.02102,
        1.02691,
        1.02139,
        1.01707,
        1.02176,
        1.01212,
        1.00609,
        1.01033,
        1.01241,
        1.00423,
        0.997735,
        0.999796,
        1.0036,
        1.00153,
        0.997404,
        1.00003,
        0.998805,
        1.00639,
        1.02025,
        1.00816,
        0.977154,
        0.9904,
        1.0206,
        1.00847,
        0.969707,
        0.978477,
        0.985671,
        0.996077,
        1.00029,
        1.00541,
        1.00132,
        0.999064,
        0.998213,
        0.999469,
        1.0003,
        1.0019,
        0.998911,
        0.996245,
        1.00075,
        1.00462,
        1.00509,
        1.0063,
        1.01342,
        1.0291,
        1.03275,
        1.01038,
        0.999938,
        0.99768,
        1.00721,
        1.01533,
        1.01942,
        1.04797,
        1.03326,
        1.00246,
        0.997568,
        1.00185,
        1.00839,
        1.01756,
        1.02181,
        1.02357,
        1.02781,
        1.02762,
        1.02835,
        1.02929,
        1.03102,
        1.03587,
        1.03567,
        1.03413,
        1.03599,
        1.02936,
        1.03462,
        1.03138,
        1.02674,
        1.02349,
        1.02837,
        1.02595,
        1.02967,
        1.03034,
        1.02466,
        1.0325,
        1.02815,
        1.03163,
        1.0335,
        1.03648,
        1.01738,
        1.00948,
        1.01594,
        1.02438,
        1.01133,
        1.01181,
        1.01721,
        1.01571,
        1.01631,
        1.02975,
        1.03848,
        1.00762,
        0.997693,
        0.998878,
        0.994747,
        0.97721,
        0.946253,
        0.901888,
        0.809422,
        0.699819,
        0.636157,
        0.647641,
        0.788372,
        0.940979,
        1.00557,
        1.02146,
        1.03709,
        1.03508,
        1.03722,
        1.03783,
        1.0387,
        1.03625,
        1.03718,
        1.03674,
        1.03463,
        1.03232,
        1.03023,
        1.03544,
        1.02961,
        1.02799,
        1.03281,
        1.0339,
        1.02977,
        1.02849,
        1.03433,
        1.03533,
        1.03623,
        1.03431,
        1.02886,
        1.02784,
        1.0288,
        1.02991,
        1.03614,
        1.04415,
        1.04169,
        1.02842,
        1.02167,
        1.02587,
        1.03865,
        1.05452,
        1.04137,
        1.01762,
        1.01396,
        1.015,
        1.00171,
        1.00312,
        1.01094,
        1.01161,
        1.0106,
        1.01498,
        1.01724,
        1.01218,
        1.00543,
        1.01263,
        1.02159,
        1.03351,
        1.02751,
        1.01487,
        1.01419,
        1.02052,
        1.01828,
        1.01236,
        1.01229,
        1.01114,
        1.00655,
        1.0048,
        1.0074,
        1.01134,
        1.01201,
        1.02297,
        1.0309,
        1.03515,
        1.02419,
        1.04754,
        1.00164,
        1.01358,
        1.00656,
        1.00764,
        1.01242,
        1.01529,
        1.00782,
        1.00518,
        1.01343,
        1.01207,
        1.01246,
        1.00958,
        1.00854,
        1.01133,
        1.0148,
        1.01495,
        1.01093,
        1.01257,
        1.02179,
        1.02563,
        1.01911,
        1.01368,
        1.02049,
        1.01437,
        1.0119,
        1.0146,
        1.0208,
        1.03047,
        1.02876,
        1.01106,
        1.01621,
        1.00747,
        1.01455,
        1.01504,
        1.00872,
        1.01223,
        1.01303,
        1.01058,
        1.00679,
        1.01025,
        1.00569,
        1.00674,
        1.02051,
        1.02389,
        1.01085,
        0.9956,
        0.993251,
        0.996618,
        0.992116,
        0.990555,
        0.99246,
        0.989904,
        0.99347,
        0.997358,
        0.995525,
        0.991083,
        0.991595,
        0.988414,
        0.982148,
        0.982868,
        0.983734,
        0.990648,
        0.98795,
        0.983213,
        0.979131,
        0.991325,
        0.991607,
        0.987904,
        0.984223,
        0.976752,
        0.976196,
        0.982126,
        0.985186,
        0.997543,
        1.00552,
        0.993187,
        0.975769,
        0.974705,
        0.98502,
        0.989565,
        0.995174,
        0.991758,
        0.988324,
        0.993142,
        0.993998,
        0.995757,
        1.00259,
        1.00609,
        1.00175,
        1.00079,
        1.00937,
        0.995156,
        0.982537,
        0.99366,
        1.00581,
        1.00605,
        0.989533,
        0.975512,
        0.985803,
        0.995601,
        1.01412,
        1.04116,
        0.955978,
        0.963152,
        0.982328,
        0.996045,
        0.985753,
        0.960464,
        0.921172,
        0.95326,
        0.895654,
        0.750195,
        0.699119,
        0.753676,
        0.764052,
        0.706086,
        0.675104,
        0.514495,
        0.300309,
        0.155464,
        0.115255,
        0.129997,
        0.236833,
        0.454168,
        0.697966,
        0.844353,
        0.87757,
        0.886531,
        0.921845,
        0.960257,
        0.989839,
        0.997415,
        0.98035,
        0.988529,
        0.984989,
        0.978684,
        0.981749,
        0.972958,
        0.981064,
        0.982048,
        0.982343,
        0.95486,
        0.964656,
        null,
        1.04883,
        1.03421,
        1.01903,
        1.02949,
        1.02565,
        1.00725,
        1.01269,
        0.990481,
        0.996687,
        1.01034,
        0.996552,
        0.991372,
        0.996457,
        0.987765,
        0.989862,
        1.00456,
        0.919268,
        0.964783,
        0.958038,
        0.983355,
        0.978341,
        0.956751,
        0.975981,
        0.988133,
        0.998567,
        1.00873,
        1.00471,
        1.00565,
        1.01308,
        1.01394,
        1.01871,
        1.00815,
        1.01044,
        1.02323,
        1.02222,
        1.02186,
        1.02606,
        1.02109,
        1.01807,
        1.02209,
        1.02314,
        1.02369,
        1.0255,
        1.03185,
        1.04112,
        1.06088,
        1.05797,
        1.02361,
        1.00059,
        1.01801,
        1.0314,
        1.04192,
        1.05974,
        1.07686,
        1.08855,
        1.03437,
        1.02459,
        1.04063,
        1.04857,
        1.05392,
        1.06371,
        1.05824,
        1.0545,
        1.06572,
        1.06796,
        1.0575,
        1.06327,
        1.07024,
        1.05914,
        1.04221,
        1.03803,
        1.05116,
        1.06202,
        1.07096,
        1.07683,
        1.07602,
        1.06427,
        1.04252,
        1.03575,
        1.04021,
        1.04405,
        1.04883,
        1.04267,
        1.0429,
        1.03853,
        1.0462,
        1.04816,
        1.04072,
        1.04266,
        1.04173,
        1.03561,
        1.04064,
        1.04732,
        1.04708,
        1.06619,
        1.08374,
        1.0692,
        1.03844,
        1.0314,
        1.03953,
        1.0512,
        1.06583,
        1.05813,
        1.04651,
        1.05355,
        1.05991,
        1.05253,
        1.04207,
        1.04262,
        1.03651,
        1.04,
        1.0431,
        1.04073,
        1.04156,
        1.04604,
        1.04667,
        1.04719,
        1.04801,
        1.04713,
        1.04754,
        1.04364,
        1.0414,
        1.04076,
        1.0431,
        1.04175,
        1.05338,
        1.06973,
        1.05177,
        1.02943,
        1.06093,
        1.05669,
        1.02606,
        1.02703,
        1.04358,
        1.04381,
        1.0352,
        1.04989,
        1.061,
        1.06821,
        1.0238,
        0.956432,
        0.912523,
        0.829831,
        0.689911,
        0.55933,
        0.454103,
        0.45906,
        0.645815,
        0.889247,
        1.00604,
        1.0365,
        1.03541,
        1.02306,
        1.01907,
        1.01596,
        1.01728,
        1.0224,
        1.03327,
        1.04092,
        1.01702,
        1.0336,
        1.01274,
        1.00133,
        1.01016,
        0.993911,
        1.02156,
        1.03934,
        1.0159,
        0.997834,
        0.982304,
        0.951714,
        0.935345,
        0.96087,
        0.997486,
        1.01685,
        1.02563,
        1.0233,
        1.01213,
        1.01199,
        1.01688,
        1.02785,
        1.03221,
        1.03432,
        1.02239,
        1.0027,
        0.997636,
        0.999703,
        0.995353,
        0.99801,
        0.998087,
        1.00134,
        1.00222,
        1.00278,
        1.00334,
        1.00239,
        1.00656,
        1.00463,
        1.00305,
        1.00448,
        1.00523,
        1.01179,
        0.992784,
        0.987029,
        0.993411,
        0.99485,
        0.99425,
        0.996285,
        0.995497,
        0.996359,
        0.993886,
        0.993789,
        0.989139,
        0.996632,
        0.998381,
        0.997162,
        1.00102,
        1.00409,
        1.00567,
        1.00751,
        1.00148,
        1.00246,
        1.00425,
        1.01284,
        1.01826,
        1.00385,
        0.995128,
        0.996016,
        0.997367,
        0.993345,
        1.00011,
        0.997787,
        0.99986,
        1.00198,
        1.00198,
        1.02064,
        1.03832,
        1.00688,
        0.998156,
        1.01416,
        1.01029,
        1.00883,
        1.00084,
        1.00667,
        1.00674,
        1.00473,
        0.999077,
        1.00365,
        1.00201,
        1.00415,
        1.00845,
        1.00981,
        1.01938,
        1.0276,
        1.01049,
        0.996794,
        0.997477,
        0.812392,
        0.877643,
        0.993485,
        1.00451,
        0.987294,
        0.987509,
        1.00011,
        0.988533,
        0.985736,
        0.98874,
        0.987195,
        0.962674,
        null,
        1.01001,
        1.02109,
        1.03804,
        1.0452,
        1.04443,
        1.04879,
        1.05073,
        1.05567,
        1.05659,
        1.05914,
        1.06022,
        1.06543,
        1.06139,
        1.06417,
        1.05858,
        1.06839,
        1.07752,
        1.04336,
        1.03442,
        1.08476,
        1.07118,
        1.0579,
        1.05107,
        1.05124,
        1.0374,
        1.0363,
        1.0479,
        1.0446,
        1.03508,
        1.05602,
        1.0571,
        1.06185,
        1.03468,
        1.02969,
        1.04477,
        1.02932,
        1.04064,
        1.02693,
        1.0316,
        1.03944,
        1.0392,
        1.01279,
        1.01636,
        1.03351,
        1.03206,
        1.02892,
        1.03148,
        1.02949,
        1.03546,
        1.03102,
        1.02791,
        1.01976,
        1.02649,
        1.0237,
        1.02704,
        1.02411,
        1.03391,
        1.02488,
        1.02171,
        1.01905,
        1.03073,
        1.02548,
        1.0234,
        1.01775,
        1.0205,
        1.01297,
        1.01538,
        0.997721,
        1.00721,
        1.03746,
        1.04261,
        1.0337,
        1.03412,
        1.02728,
        1.03241,
        1.02767,
        1.02631,
        1.03798,
        1.03525,
        1.03368,
        1.04689,
        1.04336,
        1.04275,
        1.0384,
        1.03734,
        1.02097,
        1.03122,
        1.03066,
        1.0261,
        1.02835,
        1.04379,
        1.0415,
        1.02594,
        1.03468,
        1.03929,
        1.05095,
        1.04499,
        1.01252,
        1.02777,
        1.0352,
        1.033,
        1.03118,
        1.03606,
        1.02298,
        1.00585,
        0.959344,
        0.918947,
        0.95732,
        1.0588,
        1.0607,
        1.02169,
        0.917742,
        0.796805,
        0.789539,
        0.814223,
        0.797141,
        0.764581,
        0.657362,
        0.406186,
        0.187072,
        0.10146,
        0.101508,
        0.166929,
        0.349435,
        0.621943,
        0.827875,
        0.899689,
        0.918418,
        0.939723,
        0.986915,
        1.03168,
        1.04705,
        1.0459,
        1.05567,
        1.04832,
        1.01501,
        1.02033,
        1.05498,
        1.05755,
        1.00804,
        0.997564,
        1.02476,
        1.02866,
        1.03126,
        1.03338,
        1.03276,
        1.03278,
        1.03382,
        1.03759,
        1.04209,
        1.04438,
        1.04894,
        1.04432,
        1.04454,
        1.04534,
        1.05102,
        1.05322,
        1.0616,
        1.04463,
        1.03516,
        1.05223,
        1.06595,
        1.06426,
        1.06038,
        1.08078,
        1.09239,
        1.08239,
        1.06927,
        1.0731,
        1.07508,
        1.07001,
        1.06985,
        1.07081,
        1.0706,
        1.07137,
        1.07929,
        1.08511,
        1.08309,
        1.07589,
        1.07529,
        1.07571,
        1.07531,
        1.07498,
        1.0738,
        1.07447,
        1.07413,
        1.07483,
        1.07284,
        1.07044,
        1.07222,
        1.07482,
        1.07601,
        1.06947,
        1.06942,
        1.06993,
        1.06678,
        1.06081,
        1.06331,
        1.07373,
        1.07759,
        1.09444,
        1.0565,
        1.03721,
        1.04944,
        1.05745,
        1.05644,
        1.05349,
        1.06102,
        1.06404,
        1.05657,
        1.04408,
        1.05263,
        1.06336,
        1.06797,
        1.07287,
        1.07629,
        1.07543,
        1.07804,
        1.08074,
        1.0746,
        1.06335,
        1.05398,
        1.05022,
        1.0602,
        1.0763,
        1.0865,
        1.08275,
        1.07973,
        1.07834,
        1.07975,
        1.07699,
        1.07386,
        1.06647,
        1.06769,
        1.06647,
        1.05985,
        1.05546,
        1.05465,
        1.05341,
        1.05137,
        1.03473,
        1.03076,
        1.03636,
        1.03721,
        1.03156,
        1.02897,
        1.02895,
        1.02943,
        1.03357,
        1.03076,
        1.00997,
        1.02677,
        1.03848,
        1.09815,
        1.04846,
        1.12669,
        1.03825,
        1.01241,
        1.02928,
        1.01563,
        1.02957,
        1.00861,
        0.957308,
        0.90822,
        0.813007,
        0.629367,
        0.462582,
        0.435177,
        0.570869,
        0.782055,
        0.969934,
        1.04971,
        1.06446,
        1.06644,
        1.06373,
        1.06084,
        1.05227,
        1.04614,
        1.05265,
        1.05659,
        1.04468,
        1.03724,
        1.04203,
        1.03125,
        1.00983,
        0.995556,
        0.971486,
        0.961211,
        0.962253,
        0.986779,
        1.01447,
        1.03463,
        1.03272,
        1.03366,
        1.03093,
        1.03149,
        1.02577,
        1.02539,
        1.01564,
        1.01621,
        1.02325,
        1.02655,
        1.0244,
        1.02702,
        1.02526,
        1.02361,
        1.02457,
        1.02314,
        1.02307,
        1.02476,
        1.02815,
        1.02611,
        1.02233,
        1.02326,
        1.02105,
        1.02116,
        1.01588,
        1.0149,
        1.0232,
        1.02763,
        1.03042,
        1.01804,
        1.01504,
        1.03457,
        1.03149,
        1.02667,
        1.02206,
        1.02529,
        1.02177,
        1.02254,
        1.01923,
        1.01577,
        1.01524,
        1.01692,
        1.01955,
        1.02064,
        1.01006,
        1.01991,
        1.02084,
        1.0203,
        1.02031,
        1.01727,
        1.01148,
        1.00974,
        1.01321,
        1.01954,
        1.01589,
        1.02166,
        1.01605,
        1.01568,
        1.0215,
        1.01832,
        1.01345,
        1.01205,
        1.01116,
        1.00807,
        1.01369,
        1.01889,
        1.01126,
        1.01703,
        1.01584,
        1.01068,
        1.01468,
        1.01878,
        1.02135,
        1.01876,
        1.01338,
        1.03016,
        1.0322,
        1.0534,
        1.04698,
        1.02482,
        1.01073,
        1.0086,
        1.01504,
        1.01807,
        1.00842,
        1.01161,
        1.00841,
        1.01072,
        1.01183,
        1.00952,
        1.00649,
        1.01012,
        1.00924,
        1.01117,
        1.00876,
        1.00958,
        1.00887,
        1.01329,
        1.01128,
        1.00522,
        1.00465,
        1.00405,
        1.00483,
        1.01302,
        1.01177,
        1.00807,
        1.00844,
        1.00785,
        1.00817,
        1.00702,
        1.00861,
        1.01246,
        1.01508,
        1.01026,
        1.0095,
        1.01001,
        1.01313,
        1.01629,
        1.01846,
        1.01586,
        1.01487,
        1.01259,
        1.01532,
        1.02216,
        1.02794,
        1.01941,
        1.02056,
        1.02562,
        1.01298,
        1.01663,
        1.02594,
        1.02757,
        1.02855,
        1.02881,
        1.02416,
        1.02189,
        1.02771,
        1.03215,
        1.02396,
        1.02378,
        1.02689,
        1.02768,
        1.03001,
        1.02542,
        1.0268,
        1.02831,
        1.02537,
        1.02294,
        1.02164,
        1.02469,
        1.0264,
        1.01655,
        1.02646,
        1.03014,
        1.02991,
        1.03106,
        1.02789,
        1.02646,
        1.02651,
        1.03144,
        1.03268,
        1.03524,
        1.0342,
        1.03278,
        1.03539,
        1.0367,
        1.04028,
        1.04397,
        1.04466,
        1.04525,
        1.04441,
        1.04867,
        1.05265,
        1.05364,
        1.05629,
        1.04578,
        1.04149,
        1.04523,
        1.05068,
        1.05038,
        1.05185,
        1.05571,
        1.05753,
        1.06136,
        1.06285,
        1.06073,
        1.05264,
        1.05115,
        1.05065,
        1.04957,
        1.05002,
        1.05134,
        1.05159,
        1.05096,
        1.04507,
        1.04222,
        1.04723,
        1.05213,
        1.05252,
        1.0575,
        1.05197,
        1.05806,
        1.0594,
        1.05429,
        1.04866,
        1.05179,
        1.05614,
        1.05429,
        1.05611,
        1.05664,
        1.06486,
        1.07013,
        1.05561,
        1.06603,
        1.06539,
        1.06917,
        1.06659,
        1.07035,
        1.06435,
        1.0671,
        1.0688,
        1.06937,
        1.07334,
        1.07058,
        1.08477,
        1.08462,
        1.08175,
        1.07662,
        1.07617,
        1.07907,
        1.0751,
        1.07604,
        1.09315,
        1.08022,
        1.06933,
        1.07038,
        1.06702,
        1.07008,
        1.06879,
        1.06397,
        1.06494,
        1.06773,
        1.07567,
        1.06524,
        1.06154,
        1.06584,
        1.07605,
        1.0555,
        1.04839,
        1.03849,
        1.03479,
        1.03996,
        1.0517,
        1.0597,
        1.04876,
        1.06102,
        1.04384,
        1.04411,
        1.06073,
        1.05318,
        1.04884,
        1.04826,
        1.05017,
        1.04281,
        1.04091,
        1.0398,
        1.04054,
        1.04172,
        1.04297,
        1.03939,
        1.04238,
        1.04446,
        1.04124,
        1.03463,
        1.03455,
        1.03822,
        1.03853,
        1.04088,
        1.04153,
        1.0389,
        1.03774,
        1.03611,
        1.01778,
        0.982473,
        0.91906,
        0.904651,
        0.951103,
        1.06915,
        1.05873,
        1.05641,
        1.03642,
        0.974122,
        0.857579,
        0.800127,
        0.846951,
        0.869226,
        0.832285,
        0.795399,
        0.584559,
        0.353406,
        0.185296,
        0.123446,
        0.152612,
        0.290805,
        0.54245,
        0.797694,
        0.889259,
        0.914668,
        0.949794,
        0.992637,
        1.01942,
        1.03219,
        1.03578,
        1.04849,
        1.03759,
        1.02702,
        1.01976,
        1.02545,
        1.01953,
        1.01129,
        1.00829,
        1.00499,
        1.00014,
        1.00067,
        1.00911,
        1.00627,
        1.00785,
        1.00664,
        1.00933,
        1.0112,
        1.01553,
        1.01563,
        1.01268,
        1.01049,
        1.01634,
        1.01875,
        1.0156,
        1.01901,
        1.02055,
        1.01957,
        1.02097,
        1.0201,
        1.02052,
        1.01825,
        1.02031,
        1.02092,
        1.02041,
        1.02457,
        1.02979,
        1.03121,
        1.03092,
        1.03013,
        1.03842,
        1.04032,
        1.03647,
        1.03647,
        1.03607,
        1.0381,
        1.03394,
        1.04053,
        1.04216,
        1.04294,
        1.04228,
        1.04527,
        1.04566,
        1.05078,
        1.05109,
        1.0533,
        1.05754,
        1.0589,
        1.05211,
        1.05984,
        1.07051,
        1.05547,
        1.0519,
        1.05575,
        1.04987,
        1.06022,
        1.07386,
        1.10112,
        1.07912,
        1.08099,
        1.08163,
        1.08079,
        1.08049,
        1.0905,
        1.08937,
        1.08446,
        1.08772,
        1.09207,
        1.0882,
        1.08972,
        1.06864,
        1.03539,
        0.986472,
        0.910794,
        0.738349,
        0.511968,
        0.415185,
        0.52805,
        0.75056,
        0.939186,
        1.03927,
        1.06089,
        1.06243,
        1.0664,
        1.0526,
        1.03548,
        1.03174,
        1.03061,
        1.01803,
        0.990132,
        0.956828,
        0.933199,
        0.941333,
        0.983539,
        1.01598,
        1.02932,
        1.03325,
        1.03367,
        1.02613,
        1.02258,
        1.01766,
        1.02352,
        1.03982,
        1.03897,
        1.06236,
        1.02214,
        1.02821,
        1.03447,
        1.03142,
        1.03623,
        1.03433,
        1.0401,
        1.03522,
        1.0204,
        1.01836,
        1.02355,
        1.025,
        1.02146,
        1.01688,
        1.02166,
        1.02611,
        1.01222,
        1.01189,
        1.02291,
        1.02785,
        1.01947,
        1.01614,
        1.00892,
        1.01414,
        1.01489,
        1.01811,
        1.01768,
        1.02038,
        1.0217,
        1.02536,
        1.0263,
        1.0224,
        1.02673,
        1.02695,
        1.02895,
        1.03194,
        1.02799,
        1.02502,
        1.02966,
        1.03364,
        1.02668,
        1.02942,
        1.04075,
        1.04044,
        1.03282,
        1.04037,
        1.05048,
        1.0447,
        1.04604,
        1.05671,
        1.05626,
        1.05458,
        1.05617,
        1.05539,
        1.05407,
        1.04835,
        1.04499,
        1.04336,
        1.04976,
        1.04988,
        1.05127,
        1.04498,
        1.0426,
        1.04128,
        1.0477,
        1.05013,
        1.05626,
        1.05196,
        1.04235,
        1.06416,
        1.06639,
        1.0515,
        1.04225,
        1.05241,
        1.05326,
        1.0448,
        1.04679,
        1.05318,
        1.04796,
        1.05035,
        1.04305,
        1.067,
        1.06631,
        1.04573,
        1.06047,
        1.04479,
        1.03417,
        1.03208,
        1.02955,
        1.03881,
        1.0364,
        1.0294,
        1.03188,
        1.03255,
        1.03705,
        1.04363,
        1.04087,
        1.03386,
        1.02806,
        1.03021,
        1.04125,
        1.03201,
        1.03226,
        1.03432,
        1.03506,
        1.03902,
        1.0467,
        1.05484,
        1.05113,
        1.04997,
        1.05786,
        1.05406,
        1.04923,
        1.05178,
        1.05245,
        1.05173,
        1.0482,
        1.04681,
        1.04273,
        1.0471,
        1.04306,
        1.03956,
        1.03211,
        1.03205,
        1.03324,
        1.03969,
        1.03725,
        1.03928,
        1.0371,
        1.03744,
        1.02762,
        1.02937,
        1.02634,
        1.02977,
        1.03442,
        1.04152,
        1.03582,
        1.02973,
        1.02977,
        1.04608,
        1.04722,
        1.03715,
        1.03317,
        1.0337,
        1.04118,
        1.04483,
        1.04557,
        1.05146,
        1.04932,
        1.04739,
        1.05882,
        1.05274,
        1.0461,
        1.04719,
        1.04263,
        1.04728,
        1.05818,
        1.06073,
        1.06514,
        1.05621,
        1.06327,
        1.07344,
        1.05254,
        1.06005,
        1.07992,
        1.07141,
        1.06398,
        1.06166,
        1.07174,
        1.06522,
        1.05395,
        1.06765,
        1.07894,
        1.06322,
        1.06808,
        1.06614,
        1.06857,
        1.07088,
        1.0806,
        1.06713,
        1.05181,
        1.05657,
        1.06165,
        1.07538,
        1.04712,
        1.04497,
        1.05567,
        1.05252,
        1.04563,
        1.03951,
        1.03559,
        1.04269,
        1.05748,
        1.04291,
        1.05595,
        1.04476,
        1.04974,
        1.06695,
        1.06524,
        1.05142,
        1.05577,
        1.05206,
        1.04686,
        1.05671,
        1.06966,
        1.08865,
        null,
        1.04713,
        1.06816,
        1.06763,
        1.07226,
        1.05342,
        1.05957,
        1.08556,
        1.0847,
        1.06257,
        1.05638,
        1.0489,
        1.05297,
        null,
        1.09991,
        1.07584,
        1.06313,
        1.07008,
        1.0637,
        1.07618,
        1.04471,
        1.04907,
        null,
        1.04827,
        1.0464,
        1.03619,
        1.03827,
        1.02008,
        1.04119,
        1.03906,
        1.03254,
        1.01963,
        1.02294,
        1.02452,
        1.03416,
        1.03891,
        1.03326,
        1.02698,
        1.03033,
        1.02186,
        1.01386,
        1.01981,
        1.02064,
        1.03277,
        1.03067,
        1.01787,
        1.0087,
        1.02399,
        1.01765,
        1.02571
    ],
    "flux_error": [
        0.00747162,
        0.00656642,
        0.00566122,
        0.00475602,
        0.00413168,
        0.00408744,
        0.00425473,
        0.00394487,
        0.00405724,
        0.00448794,
        0.00441769,
        0.00371311,
        0.00296103,
        0.00272889,
        0.00271713,
        0.00263293,
        0.00256401,
        0.00262076,
        0.00265743,
        0.00256769,
        0.00261394,
        0.00257801,
        0.00243481,
        0.00242451,
        0.00239486,
        0.00245928,
        0.00255928,
        0.0022555,
        0.00251041,
        0.00235627,
        0.00231614,
        0.00249919,
        0.00258225,
        0.0024452,
        0.00245253,
        0.00270424,
        0.00299857,
        0.00331079,
        0.00331315,
        0.00300288,
        0.00273203,
        0.0028129,
        0.00271895,
        0.00253988,
        0.00264362,
        0.00262392,
        0.00256551,
        0.00263239,
        0.00278363,
        0.00269274,
        0.00332569,
        0.00439024,
        0.00484866,
        0.00444509,
        0.00396986,
        0.00394795,
        0.0032866,
        0.00299894,
        0.00253111,
        0.00234741,
        0.00235766,
        0.0024478,
        0.00248659,
        0.00233235,
        0.00234852,
        0.00241655,
        0.00238832,
        0.00231957,
        0.00234043,
        0.00238382,
        0.00222421,
        0.00215037,
        0.00233192,
        0.00237006,
        0.00231142,
        0.00223366,
        0.0021769,
        0.00213604,
        0.00210603,
        0.00222099,
        0.00224607,
        0.00220836,
        0.00235315,
        0.00255097,
        0.0027062,
        0.00360871,
        0.00450446,
        0.00464143,
        0.0037046,
        0.00294512,
        0.00272217,
        0.00271685,
        0.00291607,
        0.00381655,
        0.00375517,
        0.0032981,
        0.00309666,
        0.0028972,
        0.00254097,
        0.00246834,
        0.00249692,
        0.00243742,
        0.00287501,
        0.00368987,
        0.00484884,
        0.00540533,
        0.00429354,
        0.00325865,
        0.00353896,
        0.00367438,
        0.00356742,
        0.00293843,
        0.00243484,
        0.00287655,
        0.00339636,
        0.00360199,
        0.00313737,
        0.00262158,
        0.00260774,
        0.00273491,
        0.00275727,
        0.00334393,
        0.00373221,
        0.00304611,
        0.00275436,
        0.0027269,
        0.00293079,
        0.00304037,
        0.00259143,
        0.00271081,
        0.00239793,
        0.00249357,
        0.0024087,
        0.0022936,
        0.00224844,
        0.00213987,
        0.00205179,
        0.00228675,
        0.00220488,
        0.00227446,
        0.00234712,
        0.00223306,
        0.00200118,
        0.00199715,
        0.00210458,
        0.00215083,
        0.00231494,
        0.00239843,
        0.0023756,
        0.0023206,
        0.00227561,
        0.00232898,
        0.00228442,
        0.00222011,
        0.00234703,
        0.00248641,
        0.00281378,
        0.00346937,
        0.00312679,
        0.0030839,
        0.0030813,
        0.00287165,
        0.00240143,
        0.00216214,
        0.00236067,
        0.00219126,
        0.00260249,
        0.00301634,
        0.00345843,
        0.00316961,
        0.00249516,
        0.00218078,
        0.00249893,
        0.00299694,
        0.00470764,
        0.0062626,
        0.00501937,
        0.00331869,
        0.00258428,
        0.00210474,
        0.00212215,
        0.00216832,
        0.00211316,
        0.00207772,
        0.002195,
        0.00237324,
        0.00241467,
        0.00226961,
        0.00232704,
        0.00228386,
        0.00217576,
        0.00204771,
        0.00213254,
        0.0023017,
        0.00213381,
        0.00211695,
        0.00262373,
        0.00349441,
        0.0047002,
        0.00476494,
        0.00384431,
        0.00332713,
        0.0031887,
        0.00253401,
        0.00241125,
        0.00228071,
        0.00242333,
        0.002953,
        0.00374792,
        0.00452435,
        0.00441513,
        0.00459481,
        0.00578243,
        0.00517868,
        0.00404413,
        0.00380746,
        0.0038241,
        0.00296159,
        0.00255168,
        0.00253033,
        0.0026368,
        0.00270562,
        0.00278251,
        0.00290551,
        0.00286874,
        0.0034449,
        0.00327898,
        0.00359428,
        0.00495427,
        0.00608635,
        0.00580082,
        0.00462587,
        0.00505808,
        0.00641626,
        0.00884204,
        0.00754332,
        0.00602627,
        0.00516201,
        0.00421331,
        0.00373464,
        0.0034624,
        0.00328067,
        0.00323975,
        0.00321822,
        0.00294074,
        0.0030892,
        0.00248702,
        0.00236479,
        0.00233301,
        0.00231963,
        0.00236295,
        0.00249275,
        0.00278084,
        0.00270224,
        0.0024553,
        0.00258117,
        0.00252548,
        0.00220278,
        0.00200828,
        0.00219663,
        0.00213536,
        0.00206444,
        0.00212876,
        0.00245628,
        0.00295605,
        0.00365361,
        0.00466797,
        0.0056326,
        0.00514823,
        0.00390447,
        0.00344425,
        0.00372454,
        0.00368471,
        0.0029371,
        0.00282923,
        0.00263699,
        0.00226974,
        0.0020463,
        0.00209307,
        0.0022319,
        0.00240193,
        0.00268957,
        0.00287643,
        0.00315376,
        0.00336057,
        0.00321268,
        0.00272947,
        0.00236532,
        0.00240801,
        0.00242633,
        0.00217304,
        0.00239915,
        0.00255931,
        0.00252037,
        0.002405,
        0.00233773,
        0.0023746,
        0.00273411,
        0.00331302,
        0.00331606,
        0.00383873,
        0.00446911,
        0.00554264,
        0.00684409,
        0.00617687,
        0.0047505,
        0.00433448,
        0.00515414,
        0.00593081,
        0.00605207,
        0.00599552,
        0.00627859,
        0.0049991,
        0.00405958,
        0.00497359,
        0.004758,
        0.00449995,
        0.00395019,
        0.00265946,
        0.00237911,
        0.00254928,
        0.00262511,
        0.00295491,
        0.00324053,
        0.00297953,
        0.00241211,
        0.00225882,
        0.00209396,
        0.00202977,
        0.00227717,
        0.00280888,
        0.00310424,
        0.00302448,
        0.00275207,
        0.00247628,
        0.0023712,
        0.00224277,
        0.00209386,
        0.00220961,
        0.00235374,
        0.0022942,
        0.00209952,
        0.00210771,
        0.00183233,
        0.00217489,
        0.00245534,
        0.00303745,
        0.00351271,
        0.00337305,
        0.00282986,
        0.00221506,
        0.00245709,
        0.00234394,
        0.00263706,
        0.00300683,
        0.00343928,
        0.00386606,
        0.00325126,
        0.00352607,
        0.00437204,
        0.00519582,
        null,
        0.00376134,
        0.00344395,
        0.00312055,
        0.00315632,
        0.00316225,
        0.00392306,
        0.00362998,
        0.00342191,
        0.00283754,
        0.00248768,
        0.00249669,
        0.00186473,
        0.00216504,
        0.00251004,
        0.00245477,
        0.00303728,
        0.00344561,
        0.0031283,
        0.00247704,
        0.00215753,
        0.00228107,
        0.00216794,
        0.00226449,
        0.00228565,
        0.00225126,
        0.0023321,
        0.00254915,
        0.0026055,
        0.00251095,
        0.00203205,
        0.00222836,
        0.00283447,
        0.00350547,
        0.00393442,
        0.00395079,
        0.00466004,
        0.00383471,
        0.0027675,
        0.00235112,
        0.00220227,
        0.00202235,
        0.00191203,
        0.00193664,
        0.00201107,
        0.00229742,
        0.00220077,
        0.00214537,
        0.00218984,
        0.00218663,
        0.00209483,
        0.00211657,
        0.00214621,
        0.00215668,
        0.00224654,
        0.00232108,
        0.00237313,
        0.00251273,
        0.00295717,
        0.00405409,
        0.00707934,
        0.00546173,
        0.00435434,
        0.00464313,
        0.0056629,
        0.00663499,
        0.00678712,
        0.00599261,
        0.0046012,
        0.00357113,
        0.00287883,
        0.00257972,
        0.00248606,
        0.00226566,
        0.00211353,
        0.0021423,
        0.00224621,
        0.00240868,
        0.00308383,
        0.00347106,
        0.00299453,
        0.00237364,
        0.00229563,
        0.00246564,
        0.00250934,
        0.00246418,
        0.00229371,
        0.00216518,
        0.00221027,
        0.00225327,
        0.00223552,
        0.00239038,
        0.00236942,
        0.00220685,
        0.00223277,
        0.00243609,
        0.00270698,
        0.0035495,
        0.00521925,
        0.00466377,
        0.00375447,
        0.00338645,
        0.00320857,
        0.00291325,
        0.00277902,
        0.00272787,
        0.0030157,
        0.00296348,
        0.00356903,
        0.00436704,
        0.00417868,
        0.00292388,
        0.00224503,
        0.00258661,
        0.00283172,
        0.00270056,
        0.00251508,
        0.00247824,
        0.00247227,
        0.00248483,
        0.00298107,
        0.00408346,
        0.004133,
        0.00327947,
        0.00302197,
        0.00321061,
        0.00321709,
        0.00285145,
        0.00260068,
        0.00246598,
        0.0030164,
        0.00377887,
        0.0037605,
        0.00312587,
        0.00252861,
        0.00236463,
        0.00246621,
        0.00240716,
        0.00253103,
        0.0025875,
        0.00253866,
        0.00312283,
        0.0035773,
        0.00419682,
        0.00390427,
        0.00385353,
        0.00414259,
        0.00473118,
        0.00438171,
        0.00341199,
        0.00276759,
        0.00252163,
        0.00256233,
        0.0023741,
        0.00243411,
        0.00264248,
        0.00269367,
        0.00251285,
        0.00237198,
        0.00244897,
        0.00252533,
        0.00265726,
        0.0032073,
        0.00386732,
        0.00377857,
        0.00313825,
        0.00263946,
        0.00235953,
        0.00222828,
        0.00241524,
        0.00246996,
        0.00257716,
        0.00271878,
        0.0026994,
        0.002301,
        0.00223532,
        0.00253389,
        0.00280645,
        0.00286072,
        0.00258431,
        0.00249593,
        0.0025698,
        0.00263956,
        0.00269569,
        0.00299864,
        0.00409214,
        0.00519125,
        0.00522615,
        0.00466127,
        0.00382225,
        0.00349576,
        0.00332036,
        0.00368644,
        0.00571998,
        0.00713729,
        0.00749906,
        0.00475903,
        0.00327538,
        0.00294948,
        0.00264183,
        0.00243441,
        0.00247294,
        0.00260207,
        0.00253393,
        0.00259757,
        0.00268586,
        0.00324552,
        0.00398565,
        0.0059516,
        0.00545868,
        0.00534625,
        0.00455428,
        0.00353074,
        0.00274204,
        0.00266104,
        0.00255322,
        0.00249983,
        0.00244309,
        0.00251404,
        0.00257921,
        0.00258884,
        0.00249926,
        0.00262829,
        0.00274179,
        0.00298691,
        0.00362286,
        0.00436105,
        0.0048779,
        0.00469687,
        0.00461958,
        0.00434035,
        0.00335653,
        0.00282933,
        0.00252591,
        0.00224438,
        0.0022043,
        0.00225699,
        0.00231136,
        0.00244894,
        0.00251902,
        0.00266545,
        0.00297802,
        0.00306972,
        0.002646,
        0.00254548,
        0.00262404,
        0.00276503,
        0.00274501,
        0.0028556,
        0.00272835,
        0.00282781,
        0.00305679,
        0.00352508,
        0.00357702,
        0.00345558,
        0.00323177,
        0.00350385,
        0.00364276,
        0.00516125,
        0.00826355,
        0.00919199,
        0.00704162,
        0.00578353,
        0.00632766,
        0.0077953,
        0.00787687,
        0.0063172,
        0.00473194,
        0.00399728,
        0.00355682,
        0.00337781,
        0.00344952,
        0.00382785,
        0.00463272,
        0.0059769,
        0.00619685,
        0.00489119,
        0.00377144,
        0.00322124,
        0.00301036,
        0.00289274,
        0.00289585,
        0.00292762,
        0.00296334,
        0.00287174,
        0.00250464,
        0.00240456,
        0.0024552,
        0.00261538,
        0.00258068,
        0.00244151,
        0.0023258,
        0.00220624,
        0.00216567,
        0.00228458,
        0.00231089,
        0.00259854,
        0.00306001,
        0.00376687,
        0.00371119,
        0.00301021,
        0.00257401,
        0.00239767,
        0.00254453,
        0.00242631,
        0.00253219,
        0.00267246,
        0.00278026,
        0.00286157,
        0.00287914,
        0.00271408,
        0.00265601,
        0.00251653,
        0.00241105,
        0.00243162,
        0.00243816,
        0.00249531,
        0.00286872,
        0.00392129,
        0.00501047,
        0.00354845,
        0.00262855,
        0.00217041,
        0.0018989,
        0.0019744,
        0.00224711,
        0.00253316,
        0.0032185,
        0.00307171,
        0.00290142,
        0.00265532,
        0.00268336,
        0.00347223,
        0.00503741,
        0.00861316,
        0.00707956,
        0.00480927,
        0.00321359,
        0.00262609,
        0.0024934,
        0.0025666,
        0.00270492,
        0.00331057,
        0.00401131,
        0.00329598,
        0.00262815,
        0.00229276,
        0.00223042,
        0.00231838,
        0.00242577,
        0.00241912,
        0.00291121,
        0.00424155,
        0.00470074,
        0.00396488,
        0.00291305,
        0.00240849,
        0.0024405,
        0.00247962,
        0.00293609,
        0.00386318,
        0.00431006,
        0.0040918,
        0.00340514,
        0.00274266,
        0.00252875,
        0.00247427,
        0.0027952,
        0.00367968,
        0.00378032,
        0.00312895,
        0.00257507,
        0.00238853,
        0.00217805,
        0.00222318,
        0.00228234,
        0.00264066,
        0.00298476,
        0.00277616,
        0.002486,
        0.00248012,
        0.00230135,
        0.00205161,
        0.00203521,
        0.00203803,
        0.00232313,
        0.00247179,
        0.00272559,
        0.00284157,
        0.0025451,
        0.00282654,
        0.00357989,
        0.00423917,
        0.003787,
        0.0029856,
        0.00294676,
        0.0031349,
        0.0031627,
        0.00284443,
        0.00256154,
        0.00232455,
        0.00253249,
        0.00309446,
        0.00371355,
        0.00361967,
        0.00274364,
        0.00233878,
        0.00229203,
        0.00239775,
        0.0024542,
        0.00266379,
        0.00277595,
        0.00311749,
        0.00387722,
        0.00388181,
        0.00302816,
        0.00268819,
        0.00237548,
        0.00222531,
        0.00218793,
        0.00220597,
        0.0025349,
        0.00266776,
        0.00257334,
        0.00259112,
        0.00266743,
        0.00311526,
        0.00330186,
        0.00296028,
        0.00300769,
        0.00337652,
        0.00372182,
        0.00390877,
        0.00463041,
        0.00614205,
        null,
        0.00660305,
        0.00629904,
        0.00539202,
        0.00435514,
        0.00395857,
        0.00337332,
        0.00324032,
        0.00306356,
        0.00290136,
        0.00301504,
        0.00320086,
        0.00383455,
        0.0043975,
        0.00383916,
        0.00302054,
        0.00283339,
        0.00298484,
        0.00347874,
        0.00349799,
        0.00277951,
        0.00238613,
        0.00248007,
        0.002359,
        0.00223451,
        0.00221744,
        0.00220783,
        0.00226801,
        0.00249069,
        0.00311159,
        0.00408494,
        0.00440817,
        0.00376293,
        0.00296698,
        0.00273793,
        0.003047,
        0.00388902,
        0.00365354,
        0.00280797,
        0.00251497,
        0.00262006,
        0.00257773,
        0.00234557,
        0.00221794,
        0.00206691,
        0.00203078,
        0.00222196,
        0.00229656,
        0.00201263,
        0.00219581,
        0.00218062,
        0.00226102,
        0.00233123,
        0.00232315,
        0.00217923,
        0.00191878,
        0.00212673,
        0.00212066,
        0.00212759,
        0.00229661,
        0.0023385,
        0.0027661,
        0.00362205,
        0.00422313,
        0.0041461,
        0.00514418,
        0.00523869,
        0.0042158,
        0.0031036,
        0.00255656,
        0.00241557,
        0.00230089,
        0.00236396,
        0.00249858,
        0.00244497,
        0.0026908,
        0.00359304,
        0.00501524,
        0.00515098,
        0.00362592,
        0.00286533,
        0.00238478,
        0.0026873,
        0.00242321,
        0.0022196,
        0.0023427,
        0.00264629,
        0.00298281,
        0.00321167,
        0.00283305,
        0.00250941,
        0.00261605,
        0.00250117,
        0.00242584,
        0.00234611,
        0.00220711,
        0.00221051,
        0.00238719,
        0.00223606,
        0.0023715,
        0.00282272,
        0.00366587,
        0.00404119,
        0.00359791,
        0.00284815,
        0.00263433,
        0.0028539,
        0.00333954,
        0.00328047,
        0.00269745,
        0.00231048,
        0.00215787,
        0.00213873,
        0.00229464,
        0.00207014,
        0.00212024,
        0.00195341,
        0.00195447,
        0.00201872,
        0.00199128,
        0.00197212,
        0.00213499,
        0.0021663,
        0.0020505,
        0.00216874,
        0.00218333,
        0.00231484,
        0.00223417,
        0.00219759,
        0.00232338,
        0.00237791,
        0.00242363,
        0.00230571,
        0.00232137,
        0.00227047,
        0.00219415,
        0.00242207,
        0.00311803,
        0.00403724,
        0.0032603,
        0.00295079,
        0.00262332,
        0.00243931,
        0.00234975,
        0.00234848,
        0.00235367,
        0.00230195,
        0.00204851,
        0.00217293,
        0.00270565,
        0.00273612,
        0.00242351,
        0.00225134,
        0.00212722,
        0.00219803,
        0.00240554,
        0.0026709,
        0.00347639,
        0.00400928,
        0.0042778,
        0.00396305,
        0.00382919,
        0.00360486,
        0.00296781,
        0.00250369,
        0.00249717,
        0.00252053,
        0.00238846,
        0.00256394,
        0.00274343,
        0.00313428,
        0.00335771,
        0.00338309,
        0.00368155,
        0.00436853,
        0.0053762,
        0.00707531,
        0.00735819,
        0.00690657,
        0.00644482,
        0.00549697,
        0.00489049,
        0.00465307,
        0.0041812,
        0.003002,
        0.00273805,
        0.00276118,
        0.00269188,
        0.00270448,
        0.00264186,
        0.00271281,
        0.00294202,
        0.00386873,
        0.00466561,
        0.00389966,
        0.00271683,
        0.00243048,
        0.00246895,
        0.00236875,
        0.0021791,
        0.00220094,
        0.00225996,
        0.00214221,
        0.00200514,
        0.00204705,
        0.00219866,
        0.00241955,
        0.00254202,
        0.00239409,
        0.0021589,
        0.00225455,
        0.00232452,
        0.00255944,
        0.00296675,
        0.00421112,
        0.0048269,
        0.00428563,
        0.00327704,
        0.00291489,
        0.0027593,
        0.00252493,
        0.00255073,
        0.00325571,
        0.0047478,
        0.00659237,
        0.00716755,
        0.00643378,
        0.00430869,
        0.00320218,
        0.0028553,
        0.00249597,
        0.00236826,
        0.00240983,
        0.0024263,
        0.00244263,
        0.00271801,
        0.00325452,
        0.00336267,
        0.00287915,
        0.00247328,
        0.00233123,
        0.00240514,
        0.00255986,
        0.00252343,
        0.00242992,
        0.00257058,
        0.00267084,
        0.0025288,
        0.00249984,
        0.00244797,
        0.00228922,
        0.00218299,
        0.00232585,
        0.00248889,
        0.00219274,
        0.0023281,
        0.00289271,
        0.00376806,
        0.00452927,
        0.00446617,
        0.00350655,
        0.0026334,
        0.00254962,
        0.00246867,
        0.0025392,
        0.00255723,
        0.00250582,
        0.00257017,
        0.00260374,
        0.00252073,
        0.00225363,
        0.002171,
        0.00236508,
        0.00256037,
        0.00262572,
        0.00247399,
        0.00232426,
        0.00238973,
        0.00233231,
        0.00215285,
        0.00227947,
        0.00232574,
        0.00228023,
        0.00224608,
        0.00222517,
        0.00224686,
        0.00218372,
        0.00222761,
        0.00209704,
        0.00219148,
        0.0023067,
        0.00287087,
        0.00362276,
        0.00393506,
        0.00337942,
        0.00274074,
        0.00265564,
        0.00263359,
        0.00270673,
        0.00284038,
        0.0029248,
        0.0027814,
        0.0024445,
        0.00233907,
        0.00238651,
        0.00232358,
        0.00241279,
        0.00238207,
        0.00242227,
        0.0023705,
        0.00245213,
        0.00259775,
        0.00291562,
        0.00375672,
        0.00520866,
        0.0050637,
        0.00385769,
        0.00288837,
        0.00257387,
        0.0026248,
        0.00258469,
        0.00244416,
        0.00254948,
        0.00264375,
        0.00318101,
        0.00382825,
        0.00379406,
        0.0031855,
        0.00268289,
        0.00235378,
        0.00216205,
        0.0022782,
        0.00221662,
        0.00256833,
        0.00274054,
        0.00281718,
        0.00321905,
        0.00424852,
        0.0046276,
        0.00390911,
        0.00319166,
        0.00281558,
        0.00261701,
        0.00253206,
        0.00268448,
        0.00268266,
        0.00302419,
        0.00301293,
        0.00318034,
        0.00335122,
        0.00372322,
        0.00394126,
        0.00362963,
        0.00345399,
        0.0034982,
        0.00326314,
        0.00285543,
        0.00309802,
        0.0039308,
        0.00488219,
        0.00500912,
        0.0037177,
        0.00278692,
        0.00255431,
        0.00241905,
        0.00272491,
        0.00302729,
        0.00315982,
        0.00309855,
        0.00294812,
        0.00308816,
        0.00370744,
        0.00422308,
        0.00405016,
        0.00403569,
        0.00378076,
        0.00366207,
        0.00415461,
        0.00495811,
        0.00579135,
        0.00543992,
        0.0039754,
        0.00313147,
        0.00282097,
        0.00270522,
        0.00254601,
        0.002338,
        0.00227016,
        0.00233469,
        0.00250803,
        0.0035956,
        0.0044752,
        0.00479872,
        0.00424717,
        0.00321132,
        0.00268975,
        0.00260013,
        0.00260891,
        0.00234151,
        0.00215064,
        0.00227044,
        0.00234979,
        0.0023326,
        0.00234702,
        0.00219423,
        0.00209856,
        0.00223867,
        0.00214506,
        0.00199268,
        0.00221416,
        0.00242102,
        0.0023103,
        0.00221414,
        0.0023393,
        0.00234196,
        0.00247233,
        0.00275924,
        0.00356287,
        0.00481028,
        0.00497047,
        0.00368122,
        0.00289268,
        0.00252659,
        0.00242095,
        0.00277083,
        0.00266564,
        0.00263448,
        0.00272803,
        0.00282027,
        0.00284041,
        0.00271529,
        0.00308347,
        0.00314379,
        0.00324092,
        0.00348986,
        0.00398548,
        0.00457277,
        0.005096,
        0.00571878,
        0.0069014,
        null,
        0.00650637,
        0.00657819,
        0.00649143,
        0.00497833,
        0.00400566,
        0.00378973,
        0.00312901,
        0.00257215,
        0.00225512,
        0.00218804,
        0.00221218,
        0.00213217,
        0.00226619,
        0.00257896,
        0.00266096,
        0.00244528,
        0.00242883,
        0.0024986,
        0.002676,
        0.00305829,
        0.0033286,
        0.00290573,
        0.00249743,
        0.00282495,
        0.00324505,
        0.00369412,
        0.00388578,
        0.00396255,
        0.00424907,
        0.00444164,
        0.00477557,
        0.00355444,
        0.00296731,
        0.00273115,
        0.0026404,
        0.00282809,
        0.0030517,
        0.00281962,
        0.00267897,
        0.00292245,
        0.00280706,
        0.00304226,
        0.00320418,
        0.00322679,
        0.00338852,
        0.00387802,
        0.00446067,
        0.00476675,
        0.00539751,
        0.00667209,
        0.00823652,
        0.0073303,
        0.00640605,
        null,
        0.00716267,
        0.0068233,
        0.00698501,
        0.0072217,
        0.00584374,
        0.00462646,
        0.00480807,
        0.0053551,
        0.00507251,
        0.0040809,
        0.00322065,
        0.00295135,
        0.00311012,
        0.00358068,
        0.00487017,
        0.00468364,
        0.00391404,
        0.0031084,
        0.00272981,
        0.0027264,
        0.00278998,
        0.00272113,
        0.00263616,
        0.00274016,
        0.00266099,
        0.00304016,
        0.00276461,
        0.00258097,
        0.00267088,
        0.00281079,
        0.00311036,
        0.00393117,
        0.00411181,
        0.00337076,
        0.00303685,
        0.0026514,
        0.00258025,
        0.00273928,
        0.00288797,
        0.00304544,
        0.00322437,
        0.00333028,
        0.00355583,
        0.00356992,
        0.00385222,
        0.00411775,
        0.00450736,
        0.00501984,
        0.00565164,
        0.0080718,
        0.0121191,
        0.00746528,
        0.00703121,
        0.00663006,
        0.00652205,
        0.00399604,
        0.00355907,
        0.00314604,
        0.00294392,
        0.0029555,
        0.00307932,
        0.00309972,
        0.00286239,
        0.00297331,
        0.00265181,
        0.00280248,
        0.00247506,
        0.00230434,
        0.00244703,
        0.00255515,
        0.0024563,
        0.00241466,
        0.00229137,
        0.00245041,
        0.00205511,
        0.00202652,
        0.00214149,
        0.00222378,
        0.0021646,
        0.00205611,
        0.0021929,
        0.00235573,
        0.00231961,
        0.00232508,
        0.00235441,
        0.00210466,
        0.00206246,
        0.00231941,
        0.00255396,
        0.00277822,
        0.00302906,
        0.00248117,
        0.00242185,
        0.00227302,
        0.00212364,
        0.00231897,
        0.00264006,
        0.00270502,
        0.0026921,
        0.00265703,
        0.00277319,
        0.00277419,
        0.00258942,
        0.00246028,
        0.00243319,
        0.00242582,
        0.00238212,
        0.00235844,
        0.00251348,
        0.00229547,
        0.00232744,
        0.00262655,
        0.00320605,
        0.00338409,
        0.00312291,
        0.00285017,
        0.00247624,
        0.00231042,
        0.00232948,
        0.00220947,
        0.0024199,
        0.00254561,
        0.00253993,
        0.00237504,
        0.00213554,
        0.00219383,
        0.00226068,
        0.00213038,
        0.00214976,
        0.0020833,
        0.00214394,
        0.00225856,
        0.00226192,
        0.00226494,
        0.00235591,
        0.00234116,
        0.00226597,
        0.00221545,
        0.0024004,
        0.00261324,
        0.00275876,
        0.0026932,
        0.00226748,
        0.00231277,
        0.00238131,
        0.00237759,
        0.00223937,
        0.00229264,
        0.00222797,
        0.00213617,
        0.00224683,
        0.00237643,
        0.00227383,
        0.00235727,
        0.00233706,
        0.00225325,
        0.00228494,
        0.00232658,
        0.00234892,
        0.00250338,
        0.00254451,
        0.00249396,
        0.00263266,
        0.0026159,
        0.00281083,
        0.0029491,
        0.00312364,
        0.00355076,
        0.00401187,
        0.00404864,
        0.00387178,
        0.00335445,
        0.00319351,
        0.00308533,
        0.00288514,
        0.00285562,
        0.00280189,
        0.00267885,
        0.00269387,
        0.00293412,
        0.00309253,
        0.00297861,
        0.00294829,
        0.00324796,
        0.00354604,
        0.00321106,
        0.00273469,
        0.0026195,
        0.00246898,
        0.00242917,
        0.00215444,
        0.0023318,
        0.00234255,
        0.00235654,
        0.00239373,
        0.00240287,
        0.002397,
        0.00237486,
        0.00229263,
        0.00242476,
        0.00236548,
        0.0024569,
        0.00270646,
        0.0027792,
        0.00267023,
        0.00249548,
        0.00230719,
        0.00218569,
        0.00230118,
        0.00251002,
        0.00251205,
        0.00238165,
        0.00226776,
        0.00243785,
        0.0025514,
        0.00247278,
        0.00242151,
        0.00235562,
        0.00239858,
        0.00233782,
        0.0023355,
        0.00221898,
        0.00221829,
        0.00227495,
        0.00233457,
        0.00238067,
        0.00244949,
        0.00226533,
        0.00224768,
        0.00245434,
        0.00255196,
        0.00259315,
        0.00240002,
        0.0022686,
        0.00226526,
        0.00233466,
        0.00216806,
        0.0023131,
        0.00231705,
        0.00233086,
        0.00236392,
        0.00241986,
        0.00246783,
        0.00235269,
        0.00222818,
        0.00233753,
        0.00246847,
        0.00248616,
        0.00248217,
        0.00243868,
        0.00233732,
        0.0024038,
        0.00235846,
        0.00231503,
        0.00242787,
        0.00231575,
        0.00215582,
        0.00217436,
        0.00216511,
        0.00226858,
        0.0023685,
        0.00229637,
        0.00229742,
        0.00237326,
        0.00235037,
        0.00223241,
        0.00222851,
        0.00222997,
        0.00245517,
        0.0025282,
        0.00249067,
        0.00243502,
        0.00240624,
        0.00236531,
        0.00219802,
        0.00226076,
        0.00255306,
        0.00272331,
        0.00269727,
        0.00269922,
        0.00289146,
        0.00293885,
        0.00281194,
        0.00306618,
        0.00312906,
        0.00298942,
        0.00276544,
        0.00272229,
        0.00248542,
        0.00250737,
        0.00238178,
        0.00232553,
        0.00230286,
        0.00230952,
        0.00222088,
        0.0022425,
        0.00226372,
        0.00219218,
        0.00228905,
        0.00234801,
        0.00227366,
        0.00217304,
        0.00223209,
        0.00225655,
        0.00229747,
        0.00238259,
        0.00226728,
        0.00221295,
        0.00225887,
        0.00227181,
        0.00241927,
        0.00230818,
        0.00237363,
        0.00220498,
        0.00231775,
        0.00220994,
        0.00222362,
        0.00234628,
        0.00224441,
        0.00237754,
        0.00246029,
        0.00244761,
        0.00242211,
        0.00245717,
        0.00242562,
        0.00226814,
        0.00233379,
        0.00234423,
        0.00242366,
        0.00249218,
        0.00235467,
        0.00210653,
        0.00217964,
        0.00240174,
        0.00248101,
        0.00258869,
        0.0028589,
        0.00277439,
        0.00254756,
        0.00261146,
        0.00274864,
        0.0029861,
        0.0032929,
        0.00358195,
        0.00373898,
        0.0037775,
        0.00384589,
        0.00359502,
        0.00368585,
        0.00331272,
        0.00338262,
        0.00345115,
        0.00310047,
        0.00276904,
        0.00269563,
        0.00263664,
        0.00277634,
        0.0033968,
        0.00294354,
        0.00290489,
        0.00311432,
        0.00355244,
        0.00391698,
        0.00436539,
        0.00503142,
        0.00595765,
        0.00712064,
        0.00758639,
        0.0101882,
        0.00638245,
        0.00495963,
        0.00401934,
        0.00323508,
        0.00301122,
        0.00297991,
        0.00263945,
        0.00241259,
        0.00234351,
        0.00232256,
        0.00168469,
        0.00177905,
        0.00193511,
        0.00212445,
        0.00216301,
        0.00219574,
        0.00231022,
        0.00230297,
        0.00224685,
        0.00220254,
        0.00238598,
        0.00228013,
        0.00228402,
        0.00256836,
        0.00254627,
        0.00233535,
        0.00221498,
        0.00206609,
        0.00210245,
        0.00225631,
        0.00212851,
        0.00213565,
        0.00214921,
        0.00211579,
        0.00214527,
        0.00230123,
        0.00233701,
        0.00211305,
        0.00204009,
        0.00211237,
        0.00214351,
        0.00228256,
        0.00204758,
        0.00198824,
        0.00185032,
        0.00185934,
        0.00202948,
        0.00223064,
        0.00249485,
        0.00226955,
        0.00227576,
        0.00209537,
        0.0018842,
        0.00211456,
        0.00198589,
        0.00189721,
        0.00200958,
        0.00220166,
        0.00239511,
        0.00222776,
        0.00191324,
        0.00182249,
        0.00194261,
        0.00216772,
        0.00217048,
        0.00207214,
        0.00205175,
        0.00203788,
        0.00200925,
        0.00216707,
        0.00201026,
        0.00226681,
        0.0023401,
        0.00226874,
        0.00229995,
        0.00221582,
        0.00216946,
        0.00235818,
        0.00255886,
        0.00253433,
        0.00281401,
        0.0029256,
        0.00292415,
        0.00262941,
        0.00299535,
        0.00276322,
        0.002508,
        0.00237652,
        0.00216522,
        0.00213054,
        0.00225896,
        0.00199243,
        0.00201625,
        0.00207386,
        0.00202944,
        0.00200552,
        0.00192851,
        0.00197759,
        0.00207748,
        0.00208972,
        0.00218915,
        0.00219865,
        0.00217588,
        0.00222587,
        0.00287402,
        0.00309169,
        0.00296028,
        0.00299084,
        0.00293404,
        0.00270496,
        0.00266146,
        0.00239319,
        0.00190902,
        0.00201487,
        0.00204646,
        0.00207525,
        0.00245258,
        0.00262046,
        0.00256173,
        0.00246515,
        0.00233694,
        0.00228723,
        0.0026484,
        0.00269264,
        0.00205966,
        0.0020577,
        0.00240144,
        0.00236907,
        0.00225622,
        0.00210499,
        0.00199587,
        0.00209373,
        0.00204824,
        0.00232408,
        0.00294105,
        0.0030975,
        0.00293683,
        0.00314514,
        0.00336432,
        0.00357159,
        0.00403911,
        0.00491282,
        0.00555604,
        0.00449727,
        0.00361795,
        0.00336321,
        0.00327829,
        0.0031053,
        0.00286204,
        0.00353592,
        0.00393671,
        0.00351357,
        0.00317886,
        0.0027172,
        0.00234312,
        0.00223745,
        0.0023041,
        0.00224338,
        0.00261385,
        0.00311646,
        0.0031688,
        0.0027528,
        0.00241873,
        0.00239833,
        0.00213864,
        0.00211182,
        0.00226787,
        0.00225261,
        0.00223504,
        0.00238034,
        0.00248153,
        0.00251395,
        0.00250206,
        0.00255257,
        0.00285297,
        0.00331927,
        0.00409721,
        0.00353971,
        0.00291279,
        0.00237487,
        0.00197941,
        0.00199521,
        0.0022165,
        0.00261458,
        0.00351378,
        0.00436936,
        0.00315904,
        0.00263234,
        0.00246469,
        0.00226436,
        0.00234187,
        0.00232145,
        0.00242761,
        0.00254334,
        0.00285753,
        0.0033971,
        0.00306765,
        0.00286437,
        0.00283683,
        0.00258673,
        0.00231701,
        0.00240736,
        0.00227062,
        0.00213631,
        0.00350333,
        0.00289475,
        0.00251586,
        0.00226675,
        0.00230504,
        0.00248771,
        0.0024907,
        0.00231505,
        0.00218175,
        0.00236214,
        0.00260159,
        0.00253248,
        0.00288106,
        0.00299687,
        0.00285967,
        0.0027081,
        0.00262349,
        0.00228991,
        0.00225192,
        0.00239008,
        0.00248378,
        0.00262499,
        0.00288429,
        0.00331611,
        0.00434065,
        0.00381754,
        0.0031652,
        0.00315372,
        0.00345696,
        0.00318447,
        0.00274902,
        0.00261842,
        0.00283421,
        0.00350838,
        0.00407137,
        0.00365701,
        0.00300201,
        0.00276136,
        0.0025974,
        0.00230381,
        0.00214789,
        0.00229193,
        0.00248953,
        0.00281688,
        0.00364513,
        0.00395725,
        0.00404714,
        0.00302465,
        0.00269449,
        0.00283654,
        0.00288333,
        0.00267012,
        0.00254037,
        0.00269313,
        0.00297585,
        0.00351332,
        0.00365379,
        0.00369515,
        0.00425579,
        0.00417688,
        0.00343057,
        0.00312138,
        0.00321336,
        0.003404,
        0.00363105,
        0.00374833,
        0.00337956,
        0.0027386,
        0.00264406,
        0.00244815,
        0.00239745,
        0.00268326,
        0.00307244,
        0.00351812,
        0.00340315,
        0.00319781,
        0.00315505,
        0.00295204,
        0.00268766,
        0.00255466,
        0.00236079,
        0.00253345,
        0.00281462,
        0.00299659,
        0.00297437,
        0.00276828,
        0.00259851,
        0.0028434,
        0.00355946,
        0.0047086,
        0.00476001,
        0.00363973,
        0.0029816,
        0.00264314,
        0.00247693,
        0.00241727,
        0.00245846,
        0.00270817,
        0.0031515,
        0.00357985,
        0.00407012,
        0.00427533,
        0.00338462,
        0.00301231,
        0.00313733,
        0.00335358,
        0.00358423,
        0.00385289,
        0.00378958,
        0.00327518,
        0.00324914,
        0.00352016,
        0.00462279,
        0.00590572,
        0.00564465,
        0.00473664,
        0.00402667,
        0.00333008,
        0.00314167,
        0.00299756,
        0.00283457,
        0.00268052,
        0.0026284,
        0.00269363,
        0.00268532,
        0.00277125,
        0.00323529,
        0.00439326,
        0.00454433,
        0.00376231,
        0.0030534,
        0.00255782,
        0.00250325,
        0.00243807,
        0.00252787,
        0.00250521,
        0.00246103,
        0.00248381,
        0.00238044,
        0.00224173,
        0.00229173,
        0.00249225,
        0.00276837,
        0.00300691,
        0.00327199,
        0.00332897,
        0.00285345,
        0.0030487,
        0.0031667,
        0.00306983,
        0.00295288,
        0.00295977,
        0.00272677,
        0.0023978,
        0.00254424,
        0.00263725,
        0.0027059,
        0.00279219,
        0.00283674,
        0.00296431,
        0.00367801,
        0.00410701,
        0.00373102,
        0.00326519,
        0.00300293,
        0.00319562,
        0.00370483,
        0.00370886,
        0.00321077,
        0.00273299,
        0.00261268,
        0.0028248,
        0.00303845,
        0.00255537,
        0.00250303,
        0.002532,
        0.00258228,
        0.00269138,
        0.00364005,
        0.00449977,
        0.00425048,
        0.00338111,
        0.00308543,
        0.00311865,
        0.00300724,
        0.00291789,
        0.00275482,
        0.00251046,
        0.002347,
        0.00234363,
        0.00244043,
        0.00282123,
        0.0033835,
        0.00391032,
        0.00337385,
        0.00297439,
        0.00285736,
        0.00267549,
        0.00249117,
        0.00258354,
        0.00267799,
        0.00299041,
        0.00312704,
        0.00302315,
        0.00291216,
        0.00301442,
        0.00275896,
        0.00290769,
        0.00313787,
        0.00320649,
        0.00285637,
        0.0025552,
        0.00245734,
        0.00259955,
        0.00263846,
        0.00257273,
        0.00262536,
        0.0026268,
        0.0025201,
        0.00245135,
        0.00256814,
        0.00275833,
        0.00301401,
        0.00328286,
        0.00361394,
        0.00408349,
        0.00418837,
        0.00368591,
        0.00324625,
        0.00347805,
        0.00339386,
        0.00338257,
        0.00352852,
        0.00358736,
        0.0037737,
        0.00416779,
        0.00456085,
        0.00517645,
        0.00554655,
        0.00562131,
        0.00557494,
        0.00597317,
        0.006477,
        0.00751538,
        0.00777767,
        0.00760203,
        0.00770661,
        null,
        0.00691272,
        0.00686735,
        0.00859375,
        0.00736693,
        0.00647074,
        0.00516626,
        0.00461401,
        0.00407263,
        0.0032066,
        0.00283911,
        0.00257048,
        0.00252488,
        0.00285974,
        0.00303905,
        0.00372122,
        0.00335775,
        0.00340853,
        0.00377639,
        0.00440135,
        0.00575589,
        0.00623994,
        0.00519638,
        0.00439745,
        0.00456673,
        0.00527801,
        0.00570618,
        0.00486656,
        0.0041379,
        0.00411737,
        0.00409898,
        0.00406603,
        0.00347058,
        0.00307806,
        0.00311619,
        0.00321853,
        0.00347371,
        0.00324303,
        0.00286221,
        0.00253653,
        0.00249273,
        0.00277843,
        0.00299898,
        0.00287356,
        0.00260005,
        0.00257622,
        0.00249078,
        0.0025135,
        0.00296374,
        0.00357699,
        0.00419748,
        0.004102,
        0.00335755,
        0.00343323,
        0.00327515,
        0.00302445,
        0.00254533,
        0.0023945,
        0.00240604,
        0.00233966,
        0.00226791,
        0.0023237,
        0.00227732,
        0.0024847,
        0.00219902,
        0.0022257,
        0.00234523,
        0.0022384,
        0.0023853,
        0.00215694,
        0.00222471,
        0.00252948,
        0.00260474,
        0.00252607,
        0.00251015,
        0.00253577,
        0.00235393,
        0.00223379,
        0.00215088,
        0.002289,
        0.00248583,
        0.00266398,
        0.00280182,
        0.0026074,
        0.00237182,
        0.00236701,
        0.00227345,
        0.00235705,
        0.00225638,
        0.00258054,
        0.00267776,
        0.00277878,
        0.00242172,
        0.00232864,
        0.00250614,
        0.00288805,
        0.00384321,
        0.00500897,
        0.00473946,
        0.00397289,
        0.00311291,
        0.00322466,
        0.00318852,
        0.00316701,
        0.00279374,
        0.00280143,
        0.00299195,
        0.00292009,
        0.00297673,
        0.00345643,
        0.00381621,
        0.0045506,
        0.00486714,
        0.00551343,
        0.00562886,
        0.00594662,
        0.00650427,
        0.00647605,
        0.00602172,
        0.00553412,
        0.00486837,
        0.00432891,
        0.00405856,
        0.00358975,
        0.00386906,
        0.00403009,
        0.00490315,
        0.00449814,
        0.0036543,
        0.00317737,
        0.00297707,
        0.00285052,
        0.00275536,
        0.00278834,
        0.00313386,
        0.00299239,
        0.00289846,
        0.0028487,
        0.00288726,
        0.00266495,
        0.0025786,
        0.00246798,
        0.00237834,
        0.00244936,
        0.00240409,
        0.00235981,
        0.00242684,
        0.00258555,
        0.00257598,
        0.00250396,
        0.00310423,
        0.00389023,
        0.00395479,
        0.00333773,
        0.00279271,
        0.00298652,
        0.00310276,
        0.0031302,
        0.00331129,
        0.00367243,
        0.00371324,
        0.00325202,
        0.00278301,
        0.0025683,
        0.00261427,
        0.00252754,
        0.00258052,
        0.00274655,
        0.0027279,
        0.00269922,
        0.00232687,
        0.0024398,
        0.00240547,
        0.00258687,
        0.0026076,
        0.00261127,
        0.00260116,
        0.00268131,
        0.00258094,
        0.00268749,
        0.00301154,
        0.00296337,
        0.00327944,
        0.00322725,
        0.00323846,
        0.00341435,
        0.00331687,
        0.00360013,
        0.00352616,
        0.0030032,
        0.00285197,
        0.00286369,
        0.00285947,
        0.00279933,
        0.00284157,
        0.00277321,
        0.0026019,
        0.00259965,
        0.00264867,
        0.0027436,
        0.00273892,
        0.00269666,
        0.00295837,
        0.00325684,
        0.00336964,
        0.00367382,
        0.00448995,
        0.00599977,
        0.00671553,
        0.00553101,
        0.00495371,
        0.00375917,
        0.00316936,
        0.00287548,
        0.00272983,
        0.00255628,
        0.00260141,
        0.00251854,
        0.00233773,
        0.00231014,
        0.00230513,
        0.00232038,
        0.00241651,
        0.00245138,
        0.00260487,
        0.00248489,
        0.00256955,
        0.00255545,
        0.00257631,
        0.00312933,
        0.00419809,
        0.00585684,
        0.0068928,
        0.00579297,
        0.00463511,
        0.00375016,
        0.00304551,
        0.00273731,
        0.00254275,
        0.00242836,
        0.0023827,
        0.00233427,
        0.00255421,
        0.00273169,
        0.00275184,
        0.00261238,
        0.0024825,
        0.00235947,
        0.00247192,
        0.00227769,
        0.00241513,
        0.00243148,
        0.00238828,
        0.00247425,
        0.00320074,
        0.00346928,
        0.0037649,
        0.00382626,
        0.00335768,
        0.00288342,
        0.0029224,
        0.00323051,
        0.00309022,
        0.00274602,
        0.00262892,
        0.00251982,
        0.00246594,
        0.00245027,
        0.00248023,
        0.00246106,
        0.00239184,
        0.00246341,
        0.00270908,
        0.00273564,
        0.00298197,
        0.00294108,
        0.00305862,
        0.00298466,
        0.00281444,
        0.0026081,
        0.00263468,
        0.0028005,
        0.00281311,
        0.00270091,
        0.00261483,
        0.00260664,
        0.00273806,
        0.00280547,
        0.00285257,
        0.00337459,
        0.0035935,
        0.00350756,
        0.00323425,
        0.00296685,
        0.00274631,
        0.00263714,
        0.0025682,
        0.00257628,
        0.00256063,
        0.00280245,
        0.00346085,
        0.00459015,
        0.0038436,
        0.00313576,
        0.00272547,
        0.00269513,
        0.00256028,
        0.00263691,
        0.00258726,
        0.00252331,
        0.00262373,
        0.00265806,
        0.00283296,
        0.00260051,
        0.00259002,
        0.00258602,
        0.00250551,
        0.00270935,
        0.0028316,
        0.00302555,
        0.00312326,
        0.00321915,
        0.00292947,
        0.00235045,
        0.00261039,
        0.00266565,
        0.00255018,
        0.00269421,
        0.00281143,
        0.00284644,
        0.00274937,
        0.00288861,
        0.00314894,
        0.00343075,
        0.00448615,
        0.00685555,
        0.0073536,
        0.00548168,
        0.00408166,
        0.00343652,
        0.00333269,
        0.00318051,
        0.00325097,
        0.0032748,
        0.00305987,
        0.00286707,
        0.00283437,
        0.0028859,
        0.00287216,
        0.00277429,
        0.00339131,
        0.00323987,
        0.00312337,
        0.0033578,
        0.00300526,
        0.00340994,
        0.00332813,
        0.00287313,
        0.00293396,
        0.00308685,
        0.00364016,
        0.00447941,
        0.00450255,
        0.00369826,
        0.00301227,
        0.00264271,
        0.00242693,
        0.00237075,
        0.00237378,
        0.00242155,
        0.00253027,
        0.00259268,
        0.00252072,
        0.00278409,
        0.00273883,
        0.00266782,
        0.00266075,
        0.00267602,
        0.00274358,
        0.00271181,
        0.00292608,
        0.00324167,
        0.00341114,
        0.00342057,
        0.00365591,
        0.00335498,
        0.00352746,
        0.0036099,
        0.00332099,
        0.00291195,
        0.00269233,
        0.00273713,
        0.00271371,
        0.00248913,
        0.00253287,
        0.00280016,
        0.00345806,
        0.00368312,
        0.0031393,
        0.00278026,
        0.00258711,
        0.00251024,
        0.00251521,
        0.0024964,
        0.00250871,
        0.00250685,
        0.00242107,
        0.00240855,
        0.00239019,
        0.00248726,
        0.0024161,
        0.00239589,
        0.00242836,
        0.00244188,
        0.00286411,
        0.00322383,
        0.0038429,
        0.00479048,
        0.00492281,
        0.0042467,
        0.00292575,
        0.00265502,
        0.00251267,
        0.00267352,
        0.00299413,
        0.00292265,
        0.00258113,
        0.00249932,
        0.00264113,
        0.00257356,
        0.00249272,
        0.00279677,
        0.00266551,
        0.00297457,
        0.00251176,
        0.00249971,
        0.00280008,
        0.00261216,
        0.00247623,
        0.0026695,
        0.00296658,
        0.00308551,
        0.00325063,
        0.00354474,
        0.00339506,
        0.00377631,
        0.00517573,
        0.00674823,
        0.00908578,
        0.00694825,
        0.00455944,
        0.0035603,
        0.00343473,
        0.00332864,
        0.00332826,
        0.00391156,
        0.00471019,
        0.00483071,
        0.00510476,
        0.00630953,
        0.00590121,
        0.00702294,
        0.00906611,
        0.00870452,
        0.00584488,
        0.00423654,
        0.0037218,
        0.00337347,
        0.00317823,
        0.00291545,
        0.00259936,
        0.00244864,
        0.00201732,
        0.0021838,
        0.00191433,
        0.00178886,
        0.00212401,
        0.00236073,
        0.00253196,
        0.00258692,
        0.00237174,
        0.00229258,
        0.00241171,
        0.00246891,
        0.00264379,
        0.00303122,
        0.00303608,
        0.00320327,
        0.00310988,
        0.00321637,
        0.00321112,
        0.00310845,
        0.00296768,
        0.0035974,
        0.00442943,
        0.00408738,
        0.00302088,
        0.00271787,
        0.00255226,
        0.00258298,
        0.00301687,
        0.00331704,
        0.00481975,
        0.00511957,
        0.0040152,
        0.00296308,
        0.00268522,
        0.0026248,
        0.00264494,
        0.00283907,
        0.00279724,
        0.00260411,
        0.00239648,
        0.00245929,
        0.00216282,
        0.00218761,
        0.00231867,
        0.00249487,
        0.00238053,
        0.00242618,
        0.00258882,
        0.00248181,
        0.00232058,
        0.00243514,
        0.0023582,
        0.00239045,
        0.00229521,
        0.00238415,
        0.00232404,
        0.0024403,
        0.00227384,
        0.0022633,
        0.00230709,
        0.00234332,
        0.00251768,
        0.00264125,
        0.00247361,
        0.00255016,
        0.00315227,
        0.00403978,
        0.00541364,
        0.00538552,
        0.00415206,
        0.00329678,
        0.00280304,
        0.00262535,
        0.00251053,
        0.00262403,
        0.00303958,
        0.00333305,
        0.00335099,
        0.00317192,
        0.00274332,
        0.00275142,
        0.00265102,
        0.00242377,
        0.00238092,
        0.00226993,
        0.00249012,
        0.00246982,
        0.00225754,
        0.00224329,
        0.00223154,
        0.00218715,
        0.00217025,
        0.00238008,
        0.00237201,
        0.00291285,
        0.003722,
        0.00433041,
        0.00350099,
        0.00274316,
        0.00234306,
        0.00218118,
        0.0021484,
        0.00212258,
        0.00225487,
        0.00237236,
        0.00237166,
        0.00240093,
        0.00229262,
        0.00230751,
        0.00248135,
        0.00251507,
        0.0022642,
        0.00216283,
        0.00232342,
        0.00237672,
        0.00232117,
        0.00237806,
        0.00230983,
        0.00235064,
        0.00204511,
        0.00221482,
        0.00269153,
        0.00301644,
        0.00281293,
        0.00259583,
        0.00257469,
        0.00231223,
        0.00220944,
        0.00259974,
        0.00317707,
        0.00379301,
        0.00380192,
        0.00288783,
        0.0022009,
        0.00234008,
        0.00242917,
        0.00226844,
        0.00243391,
        0.00248698,
        0.00254488,
        0.00263516,
        0.00263975,
        0.00267686,
        0.00271725,
        0.00250411,
        0.00263563,
        0.00231921,
        0.00222307,
        0.00241449,
        0.00298798,
        0.00375517,
        0.00453273,
        0.0037602,
        0.00272557,
        0.00239752,
        0.00234801,
        0.0023348,
        0.00237358,
        0.00244462,
        0.00255005,
        0.00245176,
        0.00211071,
        0.00215489,
        0.00218896,
        0.00190292,
        0.00229922,
        0.00244074,
        0.00232755,
        0.00244025,
        0.00256307,
        0.00247802,
        0.00247405,
        0.00274559,
        0.00267483,
        0.00290017,
        0.00346094,
        0.00363696,
        0.00315652,
        0.00263064,
        0.00249901,
        0.00252384,
        0.0025827,
        0.0024737,
        0.00251461,
        0.00296018,
        0.00280794,
        0.00337408,
        0.00385808,
        0.00586206,
        0.00730111,
        0.00469692,
        0.00325266,
        0.00257918,
        0.00253765,
        0.00258665,
        0.00255879,
        0.00256949,
        0.00252215,
        0.00243808,
        0.00252757,
        0.00258816,
        0.00239787,
        0.00260871,
        0.00242928,
        0.00252726,
        0.00299707,
        0.00355813,
        0.00441045,
        0.00460006,
        0.00370128,
        0.00295677,
        0.00298872,
        0.00289516,
        0.00292403,
        0.00306686,
        0.00288156,
        0.00288313,
        0.00275689,
        0.00287544,
        0.00309215,
        0.00288058,
        0.00263961,
        0.00265964,
        0.00275859,
        0.00265202,
        0.00244913,
        0.00248467,
        0.00250303,
        0.00319639,
        0.00331017,
        0.00357947,
        0.00371388,
        0.00359237,
        0.00331409,
        0.00324969,
        0.0030661,
        0.00296291,
        0.00284767,
        0.00295201,
        0.00313432,
        0.00350323,
        0.00424076,
        0.00482364,
        0.00377616,
        0.00337655,
        0.003509,
        0.00445384,
        0.00594715,
        0.00537779,
        0.00418009,
        0.00351371,
        0.00321568,
        0.00349996,
        0.0036795,
        0.00354225,
        0.00343698,
        0.00343372,
        0.00332677,
        0.00324981,
        0.00318218,
        0.00311149,
        0.00329686,
        0.0032749,
        0.00312836,
        0.00309022,
        0.00284271,
        0.00280396,
        0.00288259,
        0.00286803,
        0.00282951,
        0.00270475,
        0.0028603,
        0.00287964,
        0.00284503,
        0.00288796,
        0.00280206,
        0.00280527,
        0.0027204,
        0.00278098,
        0.00285072,
        0.00288842,
        0.00292625,
        0.00295544,
        0.00315474,
        0.00356918,
        0.00411097,
        0.00492121,
        0.00555854,
        0.0050603,
        0.00518993,
        0.0065045,
        0.00771153,
        0.00676337,
        0.00562388,
        0.00525598,
        0.00507151,
        0.00539787,
        0.00633054,
        0.00646837,
        0.00709434,
        0.00696745,
        0.00832562,
        0.00903742,
        0.0114423,
        0.0137394,
        0.0119973,
        0.00937718,
        0.00727833,
        0.00638929,
        0.00561295,
        0.00522475,
        0.00491138,
        0.00524012,
        0.0068691,
        0.00734142,
        0.00568618,
        0.00433329,
        0.00389809,
        0.00354644,
        0.00331752,
        0.00320246,
        0.00309112,
        0.00293407,
        0.00296525,
        0.00294785,
        0.00297621,
        0.00293077,
        0.00287558,
        0.00309281,
        0.00307877,
        0.00316388,
        0.0032433,
        0.00316568,
        0.00295745,
        0.00309298,
        0.00360687,
        0.00436052,
        0.00408574,
        0.00353399,
        0.00285839,
        0.00293835,
        0.00287535,
        0.00301185,
        0.00325174,
        0.00306681,
        0.00286039,
        0.00309138,
        0.00350932,
        0.00445348,
        0.00486975,
        0.00404652,
        0.00346495,
        0.00327401,
        0.00318619,
        0.00308889,
        0.00311887,
        0.00302091,
        0.00310332,
        0.00343974,
        0.00340948,
        0.00323101,
        0.00330965,
        0.00322214,
        0.00322891,
        0.00389367,
        0.00532253,
        0.00677845,
        0.00496475,
        0.00364739,
        0.00318196,
        0.00310533,
        0.00298944,
        0.00298062,
        0.00279467,
        0.00275741,
        0.00270517,
        0.00281285,
        0.00278208,
        0.00280456,
        0.0026929,
        0.00269506,
        0.00280658,
        0.00299006,
        0.00282984,
        0.0029444,
        0.00292055,
        0.0028291,
        0.0028931,
        0.00295123,
        0.0030144,
        0.00305864,
        0.0032139,
        0.00385586,
        0.00473066,
        0.00491778,
        0.00382576,
        0.00317902,
        0.00294982,
        0.00252056,
        0.00258438,
        0.00269397,
        0.00271698,
        0.00260626,
        0.00267974,
        0.00276151,
        0.00276911,
        0.00271982,
        0.00286027,
        0.00304657,
        0.00319245,
        0.0035217,
        0.00456086,
        0.00724853,
        0.0079532,
        0.00784718,
        0.00696341,
        0.00505241,
        0.00394273,
        0.00363799,
        0.00355414,
        0.0034813,
        0.00333178,
        0.00342272,
        0.00383234,
        0.00409533,
        0.00391697,
        0.00358424,
        0.00440223,
        0.00554163,
        0.00658063,
        0.00637877,
        0.00449033,
        0.00374596,
        0.00367383,
        0.0036904,
        0.00371886,
        0.00355726,
        0.00353994,
        0.00343071,
        0.00346478,
        0.00350371,
        0.00335337,
        0.00348786,
        0.00379398,
        0.00402556,
        0.0041468,
        0.00461018,
        0.00509057,
        0.00616208,
        0.00755037,
        0.00826402,
        0.00826404,
        0.0102926,
        0.0121799,
        0.0122931,
        0.0120624,
        0.0106822,
        0.00995205,
        0.00933413,
        0.00702807,
        0.00453253,
        0.00329839,
        0.00247113,
        0.00240602,
        0.00272669,
        0.00277039,
        0.00288033,
        0.00313189,
        0.00326067,
        0.00330255,
        0.00316732,
        0.00286291,
        0.00303958,
        0.00323177,
        0.00330513,
        0.00344922,
        0.00349873,
        0.00332779,
        0.00311217,
        0.0033668,
        0.00332285,
        0.00320067,
        0.00285667,
        0.00269848,
        0.00281593,
        0.00300062,
        0.00304911,
        0.00292015,
        0.00287727,
        0.00286235,
        0.00282822,
        0.00316002,
        0.00282601,
        0.00307747,
        0.00308647,
        0.00269398,
        0.00298483,
        0.00310851,
        0.00370753,
        0.004774,
        0.00490993,
        0.00448816,
        0.0038979,
        0.00375688,
        0.00435843,
        0.00595458,
        0.0079004,
        0.00721393,
        0.00434606,
        0.00328816,
        0.00305322,
        0.00306887,
        0.00314138,
        0.00340936,
        0.00303283,
        0.00292954,
        0.00291287,
        0.00293183,
        0.00294261,
        0.00320859,
        0.00328075,
        0.00324204,
        0.00302081,
        0.0027605,
        0.00286201,
        0.00289457,
        0.00291073,
        0.0028983,
        0.00282966,
        0.00301192,
        0.00307305,
        0.00308761,
        0.00295123,
        0.00280988,
        0.0029885,
        0.0034401,
        0.00455622,
        0.00564202,
        0.00481676,
        0.00360023,
        0.00322039,
        0.00303737,
        0.00285408,
        0.00284828,
        0.00294367,
        0.00314837,
        0.00326955,
        0.00314884,
        0.0028827,
        0.00306582,
        0.00298882,
        0.00309962,
        0.00298495,
        0.00331771,
        0.00412407,
        0.00404865,
        0.00342843,
        0.00314215,
        0.00312941,
        0.0031078,
        0.00297031,
        0.00293143,
        0.00313937,
        0.00313872,
        0.00335035,
        0.00348227,
        0.00353177,
        0.0032934,
        0.00305903,
        0.00321549,
        0.00392586,
        0.00565763,
        0.00524819,
        0.00409081,
        0.00312477,
        0.00278872,
        0.00289634,
        0.0030113,
        0.00321806,
        0.00336313,
        0.00326261,
        0.00328108,
        0.00354191,
        0.00425221,
        0.00518069,
        0.00633815,
        0.0048811,
        0.00386733,
        0.00364035,
        0.00372182,
        0.00365565,
        0.00344138,
        0.00343478,
        0.00368187,
        0.00375492,
        0.00357745,
        0.00344914,
        0.00327013,
        0.00302889,
        0.003062,
        0.00327491,
        0.00326686,
        0.00301785,
        0.00286144,
        0.00293824,
        0.0031322,
        0.00337436,
        0.00305185,
        0.00330121,
        0.00308809,
        0.0029733,
        0.00279813,
        0.00320531,
        0.00343327,
        0.0037353,
        0.00479706,
        0.00562003,
        0.00543783,
        0.00458399,
        0.0039211,
        0.00376578,
        0.0034061,
        0.00347122,
        0.00333037,
        0.00328455,
        0.00319364,
        0.00364466,
        0.00353218,
        0.00356456,
        0.00354217,
        0.00365226,
        0.00387264,
        0.00388188,
        0.00428591,
        0.00434907,
        0.00476674,
        0.00580839,
        0.00672746,
        0.00883682,
        0.0107497,
        0.0082173,
        0.00676025,
        0.00565765,
        0.00519308,
        0.00531018,
        0.00604965,
        0.00732721,
        0.00806232,
        0.00688818,
        0.00493059,
        0.00430824,
        0.00394089,
        0.00378919,
        0.00369111,
        0.00340099,
        0.00359678,
        0.00365295,
        0.00347241,
        0.00359881,
        0.00392034,
        0.00491194,
        0.00471521,
        0.00381972,
        0.00331913,
        0.00330963,
        0.00346896,
        0.00347351,
        0.00340971,
        0.00330304,
        0.00321133,
        0.00329901,
        0.00324686,
        0.003242,
        0.00312848,
        0.00288694,
        0.00331614,
        0.0033084,
        0.00357931,
        0.00489596,
        0.00781211,
        0.00862533,
        0.00607559,
        0.00430614,
        0.0036117,
        0.00329878,
        0.00324699,
        0.00306458,
        0.00296694,
        0.00305935,
        0.00301913,
        0.00290614,
        0.00293828,
        0.00310922,
        0.00309189,
        0.00311594,
        0.00275498,
        0.00278433,
        0.00289702,
        0.00328464,
        0.00319084,
        0.0030938,
        0.00298786,
        0.00293628,
        0.00297765,
        0.00283738,
        0.00290939,
        0.00300039,
        0.00288324,
        0.00300823,
        0.0030883,
        0.00294874,
        0.00292951,
        0.00296928,
        0.00307,
        0.00321748,
        0.0030437,
        0.00302096,
        0.00292072,
        0.00283359,
        0.00292378,
        0.00300332,
        0.00321414,
        0.00354794,
        0.00463757,
        0.00553146,
        0.00451837,
        0.00341552,
        0.0031262,
        0.00303858,
        0.00315826,
        0.0035174,
        0.00430387,
        0.00589363,
        0.0064881,
        0.00520348,
        0.00427841,
        0.00392928,
        0.00343307,
        0.00331033,
        0.0033965,
        0.00317597,
        0.00311707,
        0.00316802,
        0.00329296,
        0.00302631,
        0.00302614,
        0.00284519,
        0.00301658,
        0.00297551,
        0.00282698,
        0.0028161,
        0.00292167,
        0.00305416,
        0.00315197,
        0.00313464,
        0.00305266,
        0.00319059,
        0.00340305,
        0.00316138,
        0.00330141,
        0.00317652,
        0.00327937,
        0.00349092,
        0.00372917,
        0.00441708,
        0.00587123,
        0.00548898,
        0.00409972,
        0.00325333,
        0.003079,
        0.00301635,
        0.00305074,
        0.00316318,
        0.00314069,
        0.003066,
        0.00307153,
        0.00325246,
        0.00399503,
        0.00427454,
        0.0041852,
        0.00347875,
        0.00335341,
        0.003157,
        0.00291193,
        0.00301011,
        0.00302716,
        0.00294282,
        0.00288184,
        0.00287835,
        0.00282399,
        0.00292269,
        0.00321768,
        0.00334735,
        0.00369654,
        0.00368572,
        0.00335967,
        0.00328599,
        0.00335748,
        0.00403883,
        0.00513708,
        0.00567523,
        0.00430665,
        0.00336788,
        0.00318381,
        0.00318269,
        0.00318091,
        0.00382761,
        0.00547885,
        0.00647158,
        0.00521978,
        0.00391596,
        0.00331742,
        0.00323286,
        0.00311358,
        0.00312804,
        0.00295847,
        0.00307576,
        0.00298928,
        0.00306438,
        0.00293872,
        0.00286617,
        0.00306892,
        0.00309757,
        0.00309887,
        0.00315514,
        0.00324613,
        0.00318145,
        0.00325909,
        0.00325833,
        0.00310699,
        0.00335543,
        0.00315174,
        0.00303515,
        0.00332004,
        0.00310964,
        0.00300902,
        0.00302598,
        0.00277584,
        0.00292134,
        0.0033956,
        0.00417188,
        0.00462667,
        0.00482093,
        0.00527596,
        0.00536317,
        0.00448043,
        0.00351773,
        0.00333566,
        0.00340023,
        0.00333931,
        0.00319153,
        0.00321858,
        0.00322901,
        0.00307893,
        0.00312101,
        0.00324153,
        0.00333295,
        0.00332929,
        0.0033413,
        0.00338814,
        0.00338332,
        0.00310713,
        0.00311163,
        0.00342724,
        0.00330499,
        0.00308671,
        0.00318761,
        0.00337617,
        0.00353095,
        0.00384905,
        0.00496127,
        0.00669555,
        0.00616019,
        0.00411642,
        0.00380808,
        0.00359654,
        0.00336473,
        0.00355196,
        0.00373579,
        0.00374962,
        0.00377951,
        0.00414706,
        0.0047357,
        0.00633952,
        0.00644413,
        0.00501213,
        0.00385623,
        0.00364265,
        0.00390558,
        0.00465435,
        0.00602117,
        0.00637138,
        0.00462499,
        0.00403292,
        0.00377347,
        0.00375337,
        0.00412981,
        0.00513145,
        0.00534541,
        0.0043567,
        0.00384865,
        0.00383916,
        0.00386424,
        0.00374299,
        0.00383681,
        0.00386847,
        0.00400792,
        0.00460349,
        0.00504288,
        0.00501719,
        0.00482037,
        0.00467816,
        0.00498844,
        0.00569072,
        0.00651663,
        0.00762417,
        0.00928086,
        0.0100613,
        0.00774033,
        0.00607099,
        0.00538914,
        0.005045,
        0.00443825,
        0.00402748,
        0.00392638,
        0.0035493,
        0.00318383,
        0.00309214,
        0.00333988,
        0.00287248,
        0.00311223,
        0.00300644,
        0.00323035,
        0.00342404,
        0.00345596,
        0.00349592,
        0.00329725,
        0.0032498,
        0.00350442,
        0.00339781,
        0.00337797,
        0.00312777,
        0.00331153,
        0.00336975,
        0.00328932,
        0.0031395,
        0.00327153,
        0.00316278,
        0.00374603,
        0.0042841,
        0.00443398,
        0.00415562,
        0.00369981,
        0.00399319,
        0.00490455,
        0.00569012,
        0.00534316,
        0.00421691,
        0.00349544,
        0.00331908,
        0.00336605,
        0.00361163,
        0.00362621,
        0.00391602,
        0.00473714,
        0.00632844,
        0.00666316,
        0.00480574,
        0.00435624,
        0.00399202,
        0.00409825,
        0.0034278,
        0.0034145,
        0.00338405,
        0.00314288,
        0.00334923,
        0.00334858,
        0.00323827,
        0.00329391,
        0.00332526,
        0.00344806,
        0.00359603,
        0.00376511,
        0.00362918,
        0.00321624,
        0.0032924,
        0.00354308,
        0.00358841,
        0.00358242,
        0.00358744,
        0.0036018,
        0.00356136,
        0.00366331,
        0.00429472,
        0.00447307,
        0.00436244,
        0.00409912,
        0.00418881,
        0.0043705,
        0.00481788,
        0.00629567,
        0.00679585,
        0.00576502,
        0.00466082,
        0.00441173,
        0.00462898,
        0.00489849,
        0.00547336,
        0.00634339,
        0.00652192,
        0.00548399,
        0.0045256,
        0.00403463,
        0.00424589,
        0.00487623,
        0.00524183,
        0.00512316,
        0.00485675,
        0.00486874,
        0.00488165,
        0.00448917,
        0.00469955,
        0.004609,
        0.00489975,
        0.00482514,
        0.00483521,
        0.00491875,
        0.00524655,
        0.00550444,
        0.00570281,
        0.00516041,
        0.00483509,
        0.00504807,
        0.00598754,
        0.00711818,
        0.00993338,
        0.0108237,
        0.0116118,
        0.0110268,
        0.00856207,
        0.00707826,
        0.0060337,
        0.00611417,
        0.00593715,
        0.00640515,
        0.00639253,
        0.00713369,
        0.00762864,
        0.00709686,
        0.00692751,
        0.00686621,
        0.00710354,
        0.00776114,
        0.00784171,
        0.00883689,
        0.00976389,
        0.00983991,
        0.00936647,
        0.00951721,
        0.0112548,
        0.0111716,
        0.0123436,
        0.0135449,
        0.0137643,
        0.0136326,
        null,
        0.0101974,
        0.00838263,
        0.00682858,
        0.00592927,
        0.00532736,
        0.00508623,
        0.00482887,
        0.0045019,
        0.00409528,
        0.00390059,
        0.00404496,
        0.00398133,
        0.00405986,
        0.00392545,
        0.00401179,
        0.00402081,
        0.0040347,
        0.00414029,
        0.00508503,
        0.00676947,
        0.0067007,
        0.00501967,
        0.0042288,
        0.00364903,
        0.0033499,
        0.00301962,
        0.00329078,
        0.00363827,
        0.00367002,
        0.00364319,
        0.00361169,
        0.00356898,
        0.00336948,
        0.00318175,
        0.00295219,
        0.00330442,
        0.00351854,
        0.00401586,
        0.00576132,
        0.00762976,
        0.00630326,
        0.00540169,
        0.00811421,
        0.00938831,
        0.00666754,
        0.00438264,
        0.00366845,
        0.00339139,
        0.00327652,
        0.00310352,
        0.00308652,
        0.00305653,
        0.00313456,
        0.00306296,
        0.00320644,
        0.00344031,
        0.00322093,
        0.00304066,
        0.00303925,
        0.0031285,
        0.00325751,
        0.00327415,
        0.00347019,
        0.004363,
        0.00563303,
        0.0062505,
        0.00458511,
        0.00414805,
        0.00338196,
        0.00333634,
        0.00391364,
        0.00540569,
        0.00527559,
        0.00407082,
        0.00335143,
        0.00293748,
        0.00318134,
        0.00319664,
        0.00310773,
        0.00295985,
        0.00291458,
        0.00300942,
        0.00297981,
        0.00286815,
        0.00318235,
        0.00314966,
        0.00311677,
        0.00314985,
        0.00326362,
        0.00291053,
        0.00320827,
        0.00323809,
        0.00323694,
        0.00301766,
        0.0028168,
        0.00309224,
        0.00322742,
        0.00337841,
        0.00318382,
        0.0033655,
        0.00337208,
        0.0032956,
        0.00370242,
        0.00437563,
        0.00412383,
        0.00370787,
        0.00348956,
        0.0033827,
        0.00320093,
        0.00316479,
        0.00327476,
        0.00340605,
        0.00360891,
        0.00419056,
        0.00505822,
        0.00533179,
        0.00415621,
        0.00345422,
        0.00330142,
        0.00325258,
        0.00330674,
        0.00351771,
        0.00326495,
        0.00320123,
        0.00357134,
        0.00464413,
        0.00523762,
        0.00464946,
        0.00383256,
        0.00356651,
        0.00338689,
        0.0033334,
        0.00323104,
        0.00318116,
        0.00317515,
        0.00303137,
        0.00311096,
        0.00303947,
        0.00312902,
        0.00326685,
        0.00318188,
        0.00303601,
        0.00295429,
        0.00283809,
        0.00324182,
        0.00328422,
        0.00307795,
        0.00318665,
        0.00321495,
        0.00285628,
        0.00301831,
        0.00318558,
        0.00320089,
        0.00341361,
        0.0034133,
        0.00316315,
        0.00339566,
        0.00358231,
        0.0034571,
        0.00352922,
        0.00370811,
        0.00366013,
        0.00389008,
        0.00533683,
        0.00683938,
        0.00635687,
        0.00517428,
        0.00523802,
        0.00508383,
        0.00414704,
        0.00387791,
        0.00356937,
        0.00349761,
        0.00335229,
        0.00362017,
        0.00414643,
        0.00407185,
        0.00391869,
        0.00458616,
        0.00573277,
        0.00674013,
        0.00680771,
        0.00558505,
        0.00477087,
        0.00468385,
        0.00440586,
        0.00430782,
        0.0042178,
        0.003817,
        0.00384821,
        0.00379716,
        0.00361334,
        0.00366702,
        0.00411437,
        0.00489811,
        0.00683485,
        0.00878528,
        0.00799196,
        0.00700882,
        0.00651277,
        0.00448752,
        0.00358124,
        0.00337268,
        0.00349066,
        0.00315039,
        0.00305161,
        0.00321947,
        0.00312177,
        0.00329809,
        0.00342886,
        0.0033432,
        0.00334901,
        0.00320744,
        0.00327214,
        0.00322271,
        0.00293023,
        0.00298027,
        0.00306302,
        0.00305721,
        0.00289048,
        0.00289851,
        0.00310461,
        0.00300605,
        0.003032,
        0.00338608,
        0.00339544,
        0.00378055,
        0.00497719,
        0.00406876,
        0.00343346,
        0.00312237,
        0.00362781,
        0.00326632,
        0.00323905,
        0.00348864,
        0.00317192,
        0.00321827,
        0.00345537,
        0.00347146,
        0.00348807,
        0.00381588,
        0.00466736,
        0.00494299,
        0.00427163,
        0.00371616,
        0.00344206,
        0.00318144,
        0.00320591,
        0.00329547,
        0.00334959,
        0.00332376,
        0.00294948,
        0.0032239,
        0.0034707,
        0.00343022,
        0.00359207,
        0.00334224,
        0.00315133,
        0.00319918,
        0.00322273,
        0.00303881,
        0.00335175,
        0.00359593,
        0.0036799,
        0.00355999,
        0.00378207,
        0.00344077,
        0.00355645,
        0.00380737,
        0.00382302,
        0.00377252,
        0.00462943,
        0.00636229,
        0.00651779,
        0.0050329,
        0.00407935,
        0.00371512,
        0.00353004,
        0.00345434,
        0.00339242,
        0.00333573,
        0.00342001,
        0.0034826,
        0.00353894,
        0.00388459,
        0.00399659,
        0.00428052,
        0.00437372,
        0.00442695,
        0.00408678,
        0.00441384,
        0.00424446,
        0.00439192,
        0.00604926,
        0.00564561,
        0.00473703,
        0.00457448,
        0.00551081,
        0.00671485,
        0.00771414,
        0.00839205,
        0.00614917,
        0.00580423,
        0.00632287,
        0.00735146,
        0.00870846,
        0.010733,
        0.0130987,
        0.00878382,
        0.00658435,
        0.00677143,
        0.00522302,
        0.00404372,
        0.00462097,
        0.0050378,
        0.00451253,
        0.00529174,
        0.0070719,
        0.00568111,
        0.00408225,
        0.00386912,
        0.00400305,
        0.0044831,
        0.00493748,
        0.00491537,
        0.00516968,
        0.00564829,
        0.00585022,
        0.00600869,
        0.00616638,
        0.00648769,
        0.00667893,
        0.00679664,
        0.00680456,
        0.00678343,
        0.00703897,
        0.00749936,
        0.00699854,
        0.00773367,
        0.00971463,
        0.0101096,
        null,
        0.0143942,
        0.0131863,
        0.0111346,
        0.0104132,
        0.010378,
        0.00942626,
        0.00944957,
        0.00949736,
        0.00912382,
        0.00879698,
        0.00876927,
        0.0093395,
        0.00993333,
        0.0105848,
        0.0128739,
        0.0161134,
        0.0141671,
        0.0120273,
        0.0113189,
        0.00951281,
        0.00974494,
        0.00677093,
        0.00538895,
        0.00537628,
        0.00505986,
        0.00535144,
        0.00511179,
        0.00447686,
        0.00462229,
        0.00441178,
        0.00420388,
        0.00410857,
        0.0040753,
        0.00410666,
        0.00389844,
        0.00372133,
        0.00387794,
        0.00406135,
        0.00426726,
        0.00418085,
        0.00404408,
        0.00442935,
        0.0043869,
        0.00446747,
        0.00476232,
        0.00608963,
        0.00761398,
        0.00632005,
        0.00482278,
        0.00388662,
        0.00348161,
        0.00410506,
        0.00417568,
        0.00494664,
        0.00641256,
        0.00551446,
        0.00464527,
        0.00420313,
        0.00374707,
        0.00325951,
        0.00350976,
        0.00334932,
        0.00340535,
        0.00340012,
        0.00308768,
        0.00289696,
        0.00320524,
        0.00367504,
        0.00349663,
        0.00331436,
        0.00327471,
        0.00340104,
        0.00359082,
        0.00361862,
        0.00356841,
        0.00404138,
        0.00447796,
        0.00396067,
        0.00347076,
        0.0034645,
        0.00322069,
        0.00300782,
        0.00317582,
        0.00347514,
        0.0033641,
        0.00337358,
        0.00317164,
        0.00309674,
        0.00342961,
        0.00361809,
        0.00347095,
        0.0039,
        0.00355462,
        0.00361196,
        0.00384028,
        0.00444588,
        0.00488692,
        0.00496771,
        0.00382173,
        0.00343194,
        0.00311081,
        0.00307824,
        0.00336004,
        0.0034806,
        0.00350084,
        0.00336208,
        0.00309973,
        0.00322534,
        0.00333564,
        0.00319507,
        0.00308368,
        0.0031453,
        0.00321513,
        0.00322498,
        0.00316514,
        0.00304337,
        0.00314151,
        0.00316904,
        0.0029429,
        0.00290972,
        0.00305355,
        0.00326473,
        0.00325389,
        0.00324059,
        0.00330705,
        0.00387709,
        0.00499717,
        0.00660249,
        0.00639375,
        0.00536272,
        0.00486944,
        0.00499858,
        0.00485054,
        0.00513614,
        0.00519301,
        0.00517819,
        0.00559281,
        0.00657254,
        0.00954407,
        0.00832851,
        0.00686739,
        0.00534718,
        0.0044993,
        0.00443004,
        0.0045741,
        0.00424683,
        0.00356114,
        0.00358273,
        0.00367038,
        0.00350386,
        0.00324522,
        0.00323526,
        0.00346736,
        0.00359735,
        0.00357963,
        0.00327441,
        0.00326816,
        0.00350878,
        0.00460521,
        0.00565974,
        0.00625289,
        0.00610559,
        0.00574233,
        0.00482694,
        0.00434799,
        0.00423109,
        0.00488378,
        0.00649534,
        0.00313805,
        0.00295933,
        0.00290604,
        0.00281021,
        0.00267123,
        0.00263744,
        0.00265169,
        0.00251512,
        0.00272431,
        0.00343218,
        0.00339892,
        0.00320963,
        0.003229,
        0.00325077,
        0.00352435,
        0.00421519,
        0.00456345,
        0.00388219,
        0.00345467,
        0.00317421,
        0.00280619,
        0.00279953,
        0.00299356,
        0.0029539,
        0.00288431,
        0.00289291,
        0.00283133,
        0.0028954,
        0.00289075,
        0.00287863,
        0.00309163,
        0.003309,
        0.00370728,
        0.00399665,
        0.0039508,
        0.00358232,
        0.00322102,
        0.00305822,
        0.00300042,
        0.00302165,
        0.00323937,
        0.00333804,
        0.00315442,
        0.00357369,
        0.00336372,
        0.00313973,
        0.00325695,
        0.00333501,
        0.00351001,
        0.00373595,
        0.00335145,
        0.00309319,
        0.00330157,
        0.00350157,
        0.00359966,
        0.00379928,
        0.00521049,
        0.00520049,
        0.00440181,
        0.00342293,
        0.00318003,
        0.00310206,
        0.00301825,
        0.00313346,
        0.00329866,
        0.00320501,
        0.00350904,
        0.00422235,
        0.00483579,
        0.00492324,
        0.00412069,
        0.0034619,
        0.00329453,
        0.00338357,
        0.00347647,
        0.00341891,
        0.00339989,
        0.00337235,
        0.00358763,
        0.00372857,
        0.00357952,
        0.00343509,
        0.00341648,
        0.00288738,
        0.00309699,
        0.00354462,
        0.0038786,
        0.00425951,
        0.00412887,
        0.00387143,
        0.00365335,
        0.00401113,
        0.00432608,
        0.00460746,
        0.00504327,
        0.00503151,
        0.00571928,
        0.00679,
        0.00774474,
        0.00920083,
        null,
        0.00788514,
        0.00728157,
        0.00663079,
        0.00599525,
        0.00537102,
        0.00486324,
        0.00455506,
        0.00467996,
        0.00431488,
        0.00386059,
        0.00335224,
        0.00330345,
        0.00349399,
        0.00384109,
        0.0041876,
        0.00445448,
        0.00491837,
        0.00610844,
        0.00653094,
        0.00510448,
        0.00435301,
        0.00414315,
        0.00457274,
        0.00526401,
        0.00508956,
        0.00522647,
        0.00581979,
        0.0065742,
        0.00750421,
        0.0131504,
        0.008517,
        0.00811295,
        0.00641594,
        0.00602553,
        0.00507502,
        0.00464228,
        0.00446049,
        0.00452018,
        0.00405727,
        0.00363093,
        0.0039576,
        0.00446974,
        0.0037891,
        0.00356667,
        0.00336371,
        0.00305729,
        0.00313405,
        0.00309082,
        0.00341259,
        0.00308996,
        0.00300213,
        0.00299551,
        0.00311027,
        0.00292029,
        0.00267218,
        0.00275756,
        0.00270163,
        0.00279123,
        0.00256546,
        0.00313747,
        0.00314722,
        0.00327086,
        0.00292431,
        0.00315039,
        0.00305865,
        0.00287807,
        0.00358875,
        0.00419129,
        0.00387266,
        0.00311796,
        0.00270439,
        0.00278031,
        0.00256243,
        0.00273117,
        0.00293969,
        0.00277372,
        0.00257625,
        0.00263596,
        0.0030436,
        0.00290584,
        0.00279287,
        0.00281445,
        0.00262511,
        0.00281169,
        0.0028791,
        0.00257527,
        0.00263224,
        0.00259418,
        0.00263157,
        0.00287355,
        0.00277014,
        0.00296101,
        0.00324303,
        0.00318101,
        0.00305728,
        0.00351724,
        0.00441388,
        0.00481888,
        0.00425336,
        0.00361321,
        0.0033864,
        0.00382769,
        0.00424507,
        0.00495152,
        0.00579207,
        0.00577439,
        0.00669415,
        0.00973172,
        0.00767059,
        0.00657217,
        0.00539154,
        0.00477962,
        0.00454604,
        0.00462876,
        0.00415631,
        0.00349066,
        0.00294129,
        0.00254761,
        0.00244185,
        0.00224136,
        0.00197002,
        0.00205776,
        0.00211176,
        0.00199304,
        0.00217122,
        0.00253847,
        0.00293834,
        0.00311679,
        0.00290012,
        0.00288181,
        0.00300786,
        0.00290519,
        0.00291136,
        0.00365618,
        0.00433354,
        0.00446956,
        0.00456892,
        0.00424292,
        0.00447344,
        0.00600829,
        0.00582934,
        0.00431766,
        0.00329946,
        0.00281951,
        0.00274083,
        0.00290136,
        0.00283819,
        0.00295898,
        0.00285586,
        0.00276217,
        0.00289585,
        0.00294632,
        0.0027886,
        0.00261608,
        0.00270964,
        0.00296183,
        0.00292929,
        0.00327382,
        0.00422659,
        0.00416125,
        0.00351908,
        0.00316971,
        0.00292299,
        0.00283968,
        0.00306445,
        0.00306475,
        0.00310409,
        0.0035067,
        0.00350895,
        0.00334164,
        0.00317515,
        0.00299508,
        0.00304841,
        0.00294797,
        0.00293944,
        0.00298802,
        0.00310034,
        0.00315515,
        0.0030234,
        0.00309927,
        0.00317336,
        0.0033398,
        0.00343634,
        0.00358427,
        0.00337628,
        0.00312042,
        0.00330613,
        0.00351103,
        0.00372287,
        0.00370246,
        0.00383895,
        0.00428549,
        0.00453621,
        0.00494113,
        0.0051933,
        0.00598958,
        0.00712452,
        0.00846916,
        0.00937536,
        0.0110648,
        0.0107871,
        0.0114276,
        0.009791,
        0.00674073,
        0.00471355,
        0.00379981,
        0.0037522,
        0.00364433,
        0.00361712,
        0.00383313,
        0.00362608,
        0.00300113,
        0.00264199,
        0.00260103,
        0.00280151,
        0.00295332,
        0.00278264,
        0.00272647,
        0.00288332,
        0.00301173,
        0.00307499,
        0.00299546,
        0.00293308,
        0.00266604,
        0.00252212,
        0.00258852,
        0.00268448,
        0.00258944,
        0.00254709,
        0.00270539,
        0.00273558,
        0.00265403,
        0.00258917,
        0.00254021,
        0.00261876,
        0.00257333,
        0.00254575,
        0.00281692,
        0.00298722,
        0.00319255,
        0.00355371,
        0.00357054,
        0.0034358,
        0.00309147,
        0.00281514,
        0.00295374,
        0.00309744,
        0.00292743,
        0.00334681,
        0.00419771,
        0.00461683,
        0.00435868,
        0.00334068,
        0.00354575,
        0.0034964,
        0.00432367,
        0.00328416,
        0.00344809,
        0.00328805,
        0.00335304,
        0.00420969,
        0.00486449,
        0.00598991,
        0.00598782,
        0.00424918,
        0.0031008,
        0.00271859,
        0.00248033,
        0.00284185,
        0.00276814,
        0.00286267,
        0.00298256,
        0.00307293,
        0.00293883,
        0.0028931,
        0.00292544,
        0.0028626,
        0.00281987,
        0.00292559,
        0.00310853,
        0.0035868,
        0.00399085,
        0.00377962,
        0.00335783,
        0.00283782,
        0.00281061,
        0.00261182,
        0.00271386,
        0.00286424,
        0.00335804,
        0.00305513,
        0.00286763,
        0.00267226,
        0.00289128,
        0.00301168,
        0.00283796,
        0.00279062,
        0.00278469,
        0.0025328,
        0.00247436,
        0.00274903,
        0.00261029,
        0.00252113,
        0.00275293,
        0.00274677,
        0.00257574,
        0.00243092,
        0.00257557,
        0.00240993,
        0.00249068,
        0.00243196,
        0.00253007,
        0.00274043,
        0.00273681,
        0.00267476,
        0.00284992,
        0.00264364,
        0.002575,
        0.00267446,
        0.0025666,
        0.00257787,
        0.0035177,
        0.00374707,
        0.00312575,
        0.00261274,
        0.00229051,
        0.00263847,
        0.00263172,
        0.00264653,
        0.00293875,
        0.00257277,
        0.00253635,
        0.00267095,
        0.00302618,
        0.00284647,
        0.00261279,
        0.00296671,
        0.00320802,
        0.00305455,
        0.00278197,
        0.00253149,
        0.00275155,
        0.0027241,
        0.00299146,
        0.00289756,
        0.00303422,
        0.00299279,
        0.0032999,
        0.00451509,
        0.00482001,
        0.00358924,
        0.00333415,
        0.00357136,
        0.0034413,
        0.00375738,
        0.00368019,
        0.00371014,
        0.00389799,
        0.00403345,
        0.00433923,
        0.00494126,
        0.00544424,
        0.00538619,
        0.00548962,
        0.0058337,
        0.00612854,
        0.00664243,
        0.00838134,
        0.0106748,
        0.0140153,
        0.0102217,
        0.00791225,
        0.00653613,
        0.00583685,
        0.00498475,
        0.0044768,
        0.00417604,
        0.00417094,
        0.00415738,
        0.00389389,
        0.00361581,
        0.00344822,
        0.00331342,
        0.00325457,
        0.00327054,
        0.00317363,
        0.00317452,
        0.00328456,
        0.00318413,
        0.00319073,
        0.00348477,
        0.00409984,
        0.00543568,
        0.00595457,
        0.0055748,
        0.00446285,
        0.00354192,
        0.00316996,
        0.00293165,
        0.00290435,
        0.00311802,
        0.00385545,
        0.00432776,
        0.00377109,
        0.00298259,
        0.00280284,
        0.0027916,
        0.00273829,
        0.00274178,
        0.00276586,
        0.00284804,
        0.00276987,
        0.002705,
        0.00254696,
        0.00273771,
        0.00301556,
        0.00323552,
        0.0039381,
        0.00405605,
        0.00387391,
        0.0034262,
        0.00317452,
        0.00278202,
        0.00275077,
        0.00296854,
        0.00284263,
        0.00273412,
        0.00278067,
        0.00326275,
        0.00343684,
        0.00381761,
        0.00395243,
        0.00387418,
        0.00331164,
        0.00342477,
        0.00338741,
        0.00312017,
        0.00304497,
        0.00320502,
        0.00284654,
        0.00272318,
        0.00271491,
        0.00264597,
        0.00298407,
        0.00293139,
        0.00276891,
        0.00257568,
        0.00284981,
        0.00300876,
        0.00280573,
        0.00278268,
        0.00289082,
        0.00295902,
        0.00292464,
        0.00308596,
        0.00347341,
        0.00336752,
        0.00322487,
        0.00326187,
        0.0028511,
        0.00275836,
        0.00283114,
        0.00280737,
        0.00302356,
        0.00343031,
        0.00443375,
        0.00505572,
        0.00441848,
        0.00352979,
        0.00285207,
        0.00284577,
        0.00287603,
        0.00282194,
        0.00282246,
        0.00267727,
        0.00266072,
        0.00274043,
        0.00283495,
        0.00275834,
        0.0028693,
        0.00282834,
        0.00270683,
        0.00274144,
        0.00277737,
        0.00288612,
        0.00289102,
        0.00281155,
        0.00276812,
        0.00283162,
        0.00286386,
        0.00304543,
        0.00326571,
        0.00298381,
        0.00304483,
        0.00297679,
        0.00298333,
        0.00289801,
        0.00283485,
        0.00309487,
        0.00307807,
        0.00287798,
        0.00301277,
        0.00325649,
        0.00363804,
        0.003657,
        0.00328089,
        0.00310677,
        0.00299408,
        0.00309472,
        0.0030211,
        0.00319061,
        0.00317743,
        0.00315144,
        0.00301104,
        0.00276774,
        0.00293698,
        0.00327102,
        0.00450094,
        0.00464097,
        0.00383093,
        0.00325555,
        0.00310576,
        0.00305506,
        0.00319134,
        0.00312995,
        0.0033158,
        0.00340187,
        0.00327932,
        0.00318324,
        0.0037211,
        0.00381918,
        0.00440625,
        0.00678317,
        0.00648963,
        0.00544267,
        0.00523287,
        0.00531099,
        0.00551447,
        0.00532705,
        0.00518483,
        0.00543124,
        0.0056868,
        0.00600695,
        0.00709451,
        0.010005,
        0.0130071,
        0.0100963,
        0.00819749,
        0.00720703,
        0.00696753,
        0.00788341,
        0.00679795,
        0.00565912,
        0.00482904,
        0.00432745,
        0.00401461,
        0.00359857,
        0.00336002,
        0.00343201,
        0.00348274,
        0.00373667,
        0.00396747,
        0.00396668,
        0.00355205,
        0.00351139,
        0.00338868,
        0.00341092,
        0.00347911,
        0.00342913,
        0.0036612,
        0.00368973,
        0.00419853,
        0.00469818,
        0.00486967,
        0.00504072,
        0.0055962,
        0.0067556,
        0.00829933,
        0.0115921,
        0.0133856,
        0.0105248,
        0.00830115,
        0.00737262,
        0.00710779,
        0.00733449,
        0.00811644,
        0.00950844,
        0.0118154,
        0.0125997,
        0.0129877,
        0.0132594,
        0.0139881,
        0.0140985,
        0.0133954,
        0.0117556,
        0.0106901,
        0.00941936,
        0.00936453,
        0.00888694,
        0.00799586,
        0.00726146,
        0.006085,
        0.00528385,
        0.00500101,
        0.00475041,
        0.00460149,
        0.00439864,
        0.00437354,
        0.00411656,
        0.00450065,
        0.00476031,
        0.00454405,
        0.00400856,
        0.00364151,
        0.00354819,
        0.00321134,
        0.00322639,
        0.00319498,
        0.00302423,
        0.00296307,
        0.00294662,
        0.00296797,
        0.00307176,
        0.00301758,
        0.00294661,
        0.00280181,
        0.0029057,
        0.00277213,
        0.00279009,
        0.00266466,
        0.00270748,
        0.00274612,
        0.00282846,
        0.00295862,
        0.00312028,
        0.00364252,
        0.00361266,
        0.00318373,
        0.00298605,
        0.00265005,
        0.00270734,
        0.00271083,
        0.00283433,
        0.00264137,
        0.00310121,
        0.00303844,
        0.00277908,
        0.00258607,
        0.00268136,
        0.00266866,
        0.00261601,
        0.00250531,
        0.00261955,
        0.00262928,
        0.00273396,
        0.00267866,
        0.0028846,
        0.00276648,
        0.00272493,
        0.00272276,
        0.00283623,
        0.0031018,
        0.00339452,
        0.00393776,
        0.00365103,
        0.00326742,
        0.00299996,
        0.00292626,
        0.00268648,
        0.00337458,
        0.00436611,
        0.00475487,
        0.00416691,
        0.00342796,
        0.00329253,
        0.00326435,
        0.00319265,
        0.00320584,
        0.00290574,
        0.00289248,
        0.00324098,
        0.0035946,
        0.00405281,
        0.00448123,
        0.00354702,
        0.00325047,
        0.00320483,
        0.00334,
        0.00321319,
        0.00297793,
        0.00294639,
        0.00296399,
        0.00317128,
        0.00354573,
        0.00451662,
        0.00464406,
        0.00425247,
        0.00403042,
        0.00390269,
        0.0039127,
        0.00384858,
        0.00408323,
        0.00444518,
        0.0045317,
        0.00438431,
        0.00440674,
        0.0051065,
        0.00527903,
        0.00483078,
        0.00493267,
        0.00500598,
        0.00516518,
        0.0048365,
        0.00522537,
        0.00626754,
        0.00671145,
        0.00875762,
        0.0108784,
        0.0138518,
        0.0107243,
        0.00854644,
        0.00708957,
        0.00627671,
        0.00616195,
        0.00612965,
        0.00614053,
        0.00570643,
        0.00460105,
        0.00382151,
        0.00385863,
        0.00376628,
        0.00376873,
        0.00382921,
        0.00466565,
        0.00462322,
        0.00387341,
        0.00354697,
        0.00350568,
        0.00395437,
        0.0030502,
        0.00342484,
        0.00326045,
        0.00317868,
        0.00327939,
        0.00307254,
        0.00292949,
        0.00312081,
        0.00331229,
        0.00301126,
        0.00281858,
        0.00336933,
        0.00359193,
        0.00342958,
        0.00322403,
        0.00316227,
        0.00323175,
        0.0032928,
        0.00319147,
        0.00308007,
        0.00295384,
        0.00306614,
        0.00336437,
        0.00325576,
        0.00295525,
        0.00345983,
        0.00397146,
        0.00378533,
        0.00405719,
        0.00465546,
        0.00432746,
        0.0040453,
        0.00409281,
        0.00430114,
        0.0038868,
        0.0032571,
        0.00322613,
        0.00343521,
        0.00329189,
        0.00274745,
        0.00307349,
        0.00294363,
        0.00273099,
        0.00296794,
        0.00291941,
        0.00303403,
        0.00289109,
        0.00273342,
        0.00293555,
        0.00403245,
        0.00424243,
        0.0034609,
        0.00302025,
        0.00303484,
        0.00299969,
        0.00299533,
        0.00341459,
        0.00284154,
        0.00282042,
        0.00335269,
        0.00392804,
        0.00453897,
        0.00528249,
        0.00404721,
        0.00411538,
        0.00357654,
        0.00310801,
        0.0031439,
        0.00350266,
        0.00392745,
        0.00352259,
        0.00289022,
        0.00302565,
        0.00322875,
        0.00345923,
        0.00307832,
        0.00317695,
        0.00338815,
        0.00351674,
        0.00371447,
        0.00370214,
        0.00343722,
        0.00336154,
        0.00352796,
        0.00380234,
        0.00405931,
        0.00419778,
        0.00422904,
        0.00439709,
        0.00526646,
        0.00630458,
        0.00582841,
        0.00477047,
        0.00424572,
        0.00374598,
        0.00335947,
        0.00350824,
        0.00368426,
        0.00345407,
        0.00337807,
        0.00377861,
        0.0033224,
        0.0031699,
        0.00305172,
        0.00332176,
        0.00348255,
        0.00355585,
        0.00349523,
        0.00363075,
        0.00341149,
        0.00344146,
        0.00358643,
        0.00351215,
        0.00356064,
        0.00373876,
        0.00419195,
        0.00419797,
        0.00515338,
        0.00478351,
        0.00433626,
        0.00360802,
        0.00359664,
        0.00330345,
        0.00338755,
        0.00328978,
        0.00377363,
        0.00335401,
        0.00373809,
        0.00367988,
        0.00395659,
        0.00414333,
        0.0043661,
        0.00420149,
        0.00372916,
        0.00387683,
        0.00408472,
        0.00411256,
        0.00441776,
        0.00498299,
        0.0053266,
        0.00648994,
        0.00729846,
        0.00729864,
        0.00800785,
        0.00831411,
        0.00778436,
        0.00735148,
        0.00743143,
        0.00826797,
        0.00810589,
        0.00681005,
        0.00651447,
        0.00726007,
        0.00818778,
        0.00937955,
        0.0103386,
        0.0107763,
        0.00978535,
        0.00850978,
        0.00846786,
        0.00905236,
        0.0100824,
        0.0103975,
        0.0116026,
        0.00829619,
        0.00695727,
        0.00668437,
        0.00647936,
        0.00586334,
        0.00512423,
        0.00534815,
        0.00596547,
        0.00502085,
        0.00463658,
        0.0047386,
        0.00483557,
        0.00469952,
        0.00405902,
        0.00445645,
        0.00500811,
        0.00501009,
        0.00518244,
        0.00586246,
        0.00704253,
        0.00863728,
        0.0114639,
        null,
        0.00818795,
        0.00785756,
        0.00965571,
        0.0112875,
        0.013305,
        0.017519,
        0.0188201,
        0.0166793,
        0.0143865,
        0.0166252,
        0.0124246,
        0.0112807,
        null,
        0.0122638,
        0.011709,
        0.00994451,
        0.0102834,
        0.00757612,
        0.0092095,
        0.0103757,
        0.0106908,
        null,
        0.0168004,
        0.0140913,
        0.0117443,
        0.0120862,
        0.0100175,
        0.00937796,
        0.00888558,
        0.00723112,
        0.00694854,
        0.00692569,
        0.00703114,
        0.00620938,
        0.00567858,
        0.0059244,
        0.00535054,
        0.00462619,
        0.00456778,
        0.00486148,
        0.00464915,
        0.00464399,
        0.00520311,
        0.00510157,
        0.00467322,
        0.00429682,
        0.00433579,
        0.00423616,
        0.00411357
    ]
}