GET /api/crires_4701nm_4815nm_vstar_vv_cra_01/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.701073811306412,
        4.7010936432527695,
        4.701113475199125,
        4.701133307145482,
        4.701153139091836,
        4.7011729710381935,
        4.701192802984549,
        4.701212634930906,
        4.701232466877261,
        4.7012522988236185,
        4.701272130769974,
        4.701291962716331,
        4.701311794662686,
        4.7013316266090435,
        4.701351458555399,
        4.701371290501756,
        4.70139112244811,
        4.701410954394467,
        4.701430786340823,
        4.701450618287179,
        4.701470450233535,
        4.701490282179892,
        4.701510114126248,
        4.701529946072604,
        4.70154977801896,
        4.701569609965317,
        4.701589441911673,
        4.701609273858029,
        4.701629105804384,
        4.701648937750741,
        4.701668769697097,
        4.701688601643453,
        4.701708433589809,
        4.701728265536166,
        4.701748097482521,
        4.701767929428878,
        4.7017877613752335,
        4.701807593321591,
        4.701827425267946,
        4.701847257214303,
        4.7018670891606575,
        4.701886921107014,
        4.70190675305337,
        4.701926584999726,
        4.7019464169460825,
        4.701966248892439,
        4.701986080838795,
        4.702005912785151,
        4.7020257447315075,
        4.702045576677863,
        4.70206540862422,
        4.702085240570575,
        4.7021050725169315,
        4.702124904463287,
        4.702144736409644,
        4.702164568355999,
        4.7021844003023565,
        4.702204232248712,
        4.702224064195069,
        4.702243896141424,
        4.7022637280877815,
        4.702283560034137,
        4.702303391980494,
        4.702323223926849,
        4.702343055873206,
        4.702362887819561,
        4.702382719765917,
        4.702402551712273,
        4.70242238365863,
        4.702442215604986,
        4.702462047551342,
        4.702481879497698,
        4.702501711444055,
        4.702521543390411,
        4.702541375336767,
        4.702561207283123,
        4.702581039229479,
        4.702600871175835,
        4.702620703122191,
        4.702640535068547,
        4.702660367014904,
        4.70268019896126,
        4.702700030907616,
        4.7027198628539715,
        4.702739694800329,
        4.702759526746684,
        4.702779358693041,
        4.702799190639396,
        4.702819022585754,
        4.702838854532108,
        4.702858686478465,
        4.7028785184248205,
        4.702898350371178,
        4.702918182317533,
        4.70293801426389,
        4.7029578462102455,
        4.702977678156603,
        4.702997510102958,
        4.703017342049315,
        4.7030371739956705,
        4.703057005942026,
        4.703076837888382,
        4.703096669834737,
        4.7031165017810945,
        4.70313633372745,
        4.703156165673807,
        4.703175997620162,
        4.7031958295665195,
        4.703215661512875,
        4.703235493459232,
        4.703255325405587,
        4.7032751573519445,
        4.7032949892983,
        4.703314821244656,
        4.703334653191011,
        4.703354485137368,
        4.703374317083724,
        4.70339414903008,
        4.703413980976436,
        4.703433812922793,
        4.703453644869149,
        4.703473476815505,
        4.703493308761861,
        4.703513140708218,
        4.703532972654574,
        4.703552804600929,
        4.703572636547285,
        4.703592468493642,
        4.703612300439998,
        4.703632132386354,
        4.70365196433271,
        4.703671796279067,
        4.703691628225422,
        4.703711460171779,
        4.7037312921181345,
        4.703751124064492,
        4.703770956010847,
        4.703790787957203,
        4.7038106199035585,
        4.703830451849916,
        4.703850283796271,
        4.703870115742628,
        4.7038899476889835,
        4.703909779635341,
        4.703929611581696,
        4.703949443528053,
        4.7039692754744085,
        4.703989107420766,
        4.704008939367121,
        4.704028771313476,
        4.7040486032598325,
        4.704068435206189,
        4.704088267152545,
        4.704108099098901,
        4.7041279310452575,
        4.704147762991613,
        4.70416759493797,
        4.704187426884325,
        4.7042072588306825,
        4.704227090777038,
        4.704246922723395,
        4.704266754669749,
        4.7042865866161065,
        4.704306418562462,
        4.704326250508819,
        4.704346082455174,
        4.704365914401531,
        4.704385746347887,
        4.704405578294243,
        4.704425410240599,
        4.704445242186956,
        4.704465074133312,
        4.704484906079668,
        4.704504738026023,
        4.70452456997238,
        4.704544401918736,
        4.704564233865092,
        4.704584065811448,
        4.704603897757805,
        4.704623729704161,
        4.704643561650517,
        4.704663393596873,
        4.70468322554323,
        4.704703057489585,
        4.704722889435942,
        4.7047427213822965,
        4.704762553328654,
        4.704782385275009,
        4.704802217221366,
        4.7048220491677215,
        4.704841881114079,
        4.704861713060434,
        4.704881545006791,
        4.7049013769531465,
        4.704921208899504,
        4.704941040845859,
        4.704960872792216,
        4.7049807047385706,
        4.705000536684927,
        4.705020368631283,
        4.705040200577639,
        4.7050600325239955,
        4.705079864470352,
        4.705099696416708,
        4.705119528363064,
        4.7051393603094205,
        4.705159192255777,
        4.705179024202133,
        4.705198856148489,
        4.705218688094845,
        4.705238520041201,
        4.705258351987557,
        4.705278183933912,
        4.7052980158802695,
        4.705317847826625,
        4.705337679772981,
        4.705357511719337,
        4.705377343665694,
        4.70539717561205,
        4.705417007558406,
        4.705436839504762,
        4.705456671451118,
        4.705476503397474,
        4.70549633534383,
        4.705516167290186,
        4.705535999236543,
        4.705555831182899,
        4.705575663129255,
        4.705595495075611,
        4.705615327021968,
        4.705635158968324,
        4.70565499091468,
        4.7056748228610354,
        4.705694654807392,
        4.705714486753747,
        4.705773982592817,
        4.705793814539172,
        4.705813646485529,
        4.7058334784318845,
        4.705853310378242,
        4.705873142324597,
        4.705892974270954,
        4.7059128062173095,
        4.705932638163666,
        4.705952470110021,
        4.705972302056378,
        4.7059921340027335,
        4.70601196594909,
        4.706031797895446,
        4.706051629841802,
        4.7060714617881585,
        4.706091293734515,
        4.706111125680871,
        4.706130957627227,
        4.7061507895735835,
        4.706170621519939,
        4.706190453466295,
        4.706210285412651,
        4.7062301173590075,
        4.706249949305364,
        4.70626978125172,
        4.706289613198076,
        4.7063094451444325,
        4.706329277090789,
        4.706349109037144,
        4.706368940983501,
        4.706388772929857,
        4.706408604876213,
        4.706428436822568,
        4.706448268768924,
        4.706468100715281,
        4.706487932661637,
        4.706507764607993,
        4.706527596554349,
        4.706547428500706,
        4.706567260447062,
        4.706587092393418,
        4.706606924339774,
        4.706626756286131,
        4.706646588232485,
        4.706666420178842,
        4.7066862521251975,
        4.706706084071555,
        4.70672591601791,
        4.706745747964267,
        4.7067655799106225,
        4.70678541185698,
        4.706805243803335,
        4.706825075749692,
        4.7068449076960475,
        4.706864739642405,
        4.706884571588759,
        4.706904403535116,
        4.7069242354814715,
        4.706944067427829,
        4.706963899374184,
        4.70698373132054,
        4.7070035632668965,
        4.707023395213253,
        4.707043227159609,
        4.707063059105965,
        4.7070828910523215,
        4.707102722998678,
        4.707122554945033,
        4.707142386891389,
        4.7071622188377455,
        4.707182050784102,
        4.707201882730458,
        4.707221714676814,
        4.7072415466231705,
        4.707261378569527,
        4.707281210515883,
        4.707301042462239,
        4.707320874408595,
        4.707340706354952,
        4.707360538301306,
        4.707380370247663,
        4.707400202194019,
        4.707420034140376,
        4.707439866086731,
        4.707459698033088,
        4.707479529979444,
        4.707499361925801,
        4.707519193872156,
        4.707539025818513,
        4.707558857764869,
        4.707578689711225,
        4.70759852165758,
        4.707618353603936,
        4.707638185550293,
        4.707658017496648,
        4.707677849443005,
        4.7076976813893605,
        4.707717513335718,
        4.707737345282073,
        4.70775717722843,
        4.7077770091747855,
        4.707796841121143,
        4.707816673067498,
        4.707836505013854,
        4.7078563369602096,
        4.707876168906567,
        4.707896000852922,
        4.707915832799279,
        4.7079356647456345,
        4.707955496691991,
        4.707975328638347,
        4.707995160584703,
        4.7080149925310595,
        4.708034824477416,
        4.708054656423772,
        4.708074488370127,
        4.708094320316484,
        4.70811415226284,
        4.708133984209196,
        4.708153816155552,
        4.7081736481019085,
        4.708193480048265,
        4.708213311994621,
        4.708233143940977,
        4.7082529758873335,
        4.70842154743136,
        4.708590118975388,
        4.708609950921743,
        4.708629782868099,
        4.708649614814456,
        4.708669446760811,
        4.708689278707168,
        4.7087091106535235,
        4.708728942599881,
        4.708748774546236,
        4.708768606492593,
        4.708788438438948,
        4.708808270385305,
        4.70882810233166,
        4.708847934278017,
        4.7088677662243725,
        4.70888759817073,
        4.708907430117085,
        4.708927262063442,
        4.7089470940097975,
        4.708966925956154,
        4.70898675790251,
        4.709006589848866,
        4.709026421795222,
        4.709046253741578,
        4.709066085687934,
        4.70908591763429,
        4.7091057495806465,
        4.709125581527003,
        4.709145413473359,
        4.709165245419715,
        4.7091850773660715,
        4.709204909312428,
        4.709224741258784,
        4.70924457320514,
        4.709264405151496,
        4.709284237097852,
        4.709304069044207,
        4.709323900990564,
        4.70934373293692,
        4.709363564883277,
        4.709383396829632,
        4.709403228775989,
        4.709423060722345,
        4.709442892668702,
        4.709462724615057,
        4.709482556561414,
        4.709502388507769,
        4.709522220454126,
        4.709542052400481,
        4.709561884346838,
        4.709581716293194,
        4.70960154823955,
        4.709621380185906,
        4.709641212132262,
        4.709661044078619,
        4.709680876024975,
        4.709700707971331,
        4.709720539917687,
        4.709740371864043,
        4.709760203810399,
        4.709780035756755,
        4.709799867703111,
        4.709819699649468,
        4.709839531595823,
        4.70985936354218,
        4.7098791954885355,
        4.709899027434893,
        4.709918859381248,
        4.709938691327604,
        4.7099585232739605,
        4.709978355220316,
        4.709998187166672,
        4.710018019113028,
        4.7100378510593846,
        4.710057683005741,
        4.710077514952097,
        4.710097346898453,
        4.7101171788448095,
        4.710137010791166,
        4.710156842737522,
        4.710176674683878,
        4.7101965066302345,
        4.71021633857659,
        4.710236170522946,
        4.710256002469302,
        4.710275834415658,
        4.710295666362015,
        4.71031549830837,
        4.710335330254727,
        4.710355162201083,
        4.71037499414744,
        4.710394826093795,
        4.710414658040152,
        4.710434489986508,
        4.710454321932864,
        4.710474153879219,
        4.710493985825576,
        4.710513817771932,
        4.710533649718289,
        4.710553481664644,
        4.710573313611001,
        4.710593145557357,
        4.710612977503713,
        4.710632809450069,
        4.710652641396425,
        4.710672473342782,
        4.710692305289137,
        4.710712137235493,
        4.710731969181849,
        4.710751801128206,
        4.710771633074562,
        4.710791465020918,
        4.710811296967274,
        4.710831128913631,
        4.710850960859987,
        4.710870792806343,
        4.710890624752699,
        4.710910456699056,
        4.710930288645411,
        4.710950120591766,
        4.710969952538123,
        4.710989784484479,
        4.711009616430835,
        4.711029448377191,
        4.7110492803235475,
        4.711069112269904,
        4.71108894421626,
        4.711108776162616,
        4.7111286081089725,
        4.711148440055329,
        4.711168272001684,
        4.71118810394804,
        4.711207935894397,
        4.711227767840753,
        4.711247599787108,
        4.711267431733465,
        4.711287263679821,
        4.711307095626178,
        4.711326927572533,
        4.71134675951889,
        4.711366591465246,
        4.711386423411603,
        4.711406255357957,
        4.711426087304314,
        4.71144591925067,
        4.711465751197027,
        4.711485583143382,
        4.711505415089739,
        4.711525247036095,
        4.711545078982452,
        4.711564910928807,
        4.711584742875163,
        4.71160457482152,
        4.711624406767876,
        4.711644238714231,
        4.7116640706605875,
        4.711683902606944,
        4.7117037345533,
        4.711723566499656,
        4.711743398446012,
        4.711763230392369,
        4.711783062338725,
        4.711802894285081,
        4.711822726231437,
        4.711842558177794,
        4.71186239012415,
        4.711882222070505,
        4.7119020540168615,
        4.711921885963217,
        4.711941717909574,
        4.711961549855929,
        4.711981381802286,
        4.712001213748642,
        4.712021045694999,
        4.712040877641354,
        4.712060709587711,
        4.712080541534067,
        4.712100373480424,
        4.712120205426778,
        4.712140037373135,
        4.712159869319491,
        4.712179701265847,
        4.712199533212203,
        4.7122193651585595,
        4.712239197104916,
        4.712259029051271,
        4.712278860997628,
        4.712298692943984,
        4.712318524890341,
        4.712338356836696,
        4.712358188783052,
        4.712378020729408,
        4.712397852675765,
        4.712457348514833,
        4.71247718046119,
        4.712497012407545,
        4.712516844353902,
        4.712536676300258,
        4.712556508246614,
        4.71257634019297,
        4.7125961721393255,
        4.712616004085682,
        4.712635836032038,
        4.712655667978394,
        4.71267549992475,
        4.712695331871107,
        4.712715163817463,
        4.712734995763819,
        4.712754827710175,
        4.712774659656532,
        4.712794491602888,
        4.712814323549244,
        4.7128341554956,
        4.712853987441956,
        4.712873819388312,
        4.712893651334667,
        4.712913483281024,
        4.71293331522738,
        4.712953147173737,
        4.712972979120092,
        4.712992811066449,
        4.713012643012805,
        4.713032474959162,
        4.713052306905517,
        4.713072138851874,
        4.713091970798229,
        4.713111802744586,
        4.713131634690941,
        4.7131514666372984,
        4.713171298583654,
        4.713191130530011,
        4.713210962476366,
        4.713230794422722,
        4.713250626369079,
        4.713270458315434,
        4.713290290261791,
        4.713310122208147,
        4.713329954154503,
        4.713349786100858,
        4.713369618047215,
        4.713389449993571,
        4.713409281939928,
        4.713429113886283,
        4.71344894583264,
        4.713468777778996,
        4.713488609725353,
        4.713508441671708,
        4.713528273618065,
        4.713548105564421,
        4.713567937510776,
        4.713587769457132,
        4.7136076014034884,
        4.713627433349845,
        4.713647265296201,
        4.713667097242557,
        4.713686929188913,
        4.71370676113527,
        4.713726593081626,
        4.713746425027982,
        4.713766256974338,
        4.713786088920695,
        4.71380592086705,
        4.713825752813406,
        4.7138455847597625,
        4.713865416706119,
        4.713885248652475,
        4.71390508059883,
        4.713924912545187,
        4.713944744491543,
        4.7139645764379,
        4.713984408384255,
        4.714004240330612,
        4.714024072276968,
        4.714043904223324,
        4.714063736169679,
        4.7140835681160365,
        4.714103400062392,
        4.714123232008749,
        4.714143063955104,
        4.714162895901461,
        4.714182727847817,
        4.714202559794173,
        4.714222391740529,
        4.7142422236868855,
        4.714262055633242,
        4.714281887579597,
        4.714301719525953,
        4.71432155147231,
        4.714341383418666,
        4.714361215365021,
        4.714381047311378,
        4.714400879257734,
        4.714420711204091,
        4.714440543150446,
        4.714460375096803,
        4.714480207043159,
        4.714500038989516,
        4.71451987093587,
        4.7145397028822265,
        4.714559534828583,
        4.714579366774939,
        4.714599198721295,
        4.714619030667651,
        4.714638862614008,
        4.714658694560364,
        4.71467852650672,
        4.714698358453076,
        4.714718190399433,
        4.714738022345789,
        4.714757854292144,
        4.7147776862385005,
        4.714797518184857,
        4.714817350131213,
        4.714837182077569,
        4.714857014023925,
        4.714876845970281,
        4.714896677916638,
        4.714916509862993,
        4.71493634180935,
        4.714956173755706,
        4.714976005702063,
        4.714995837648417,
        4.7150156695947745,
        4.71503550154113,
        4.715055333487487,
        4.715075165433842,
        4.715094997380199,
        4.715114829326555,
        4.715134661272912,
        4.715154493219267,
        4.715174325165624,
        4.71519415711198,
        4.715213989058336,
        4.715233821004691,
        4.715253652951048,
        4.715273484897404,
        4.71529331684376,
        4.715313148790116,
        4.715332980736473,
        4.715352812682829,
        4.715372644629185,
        4.715392476575541,
        4.7154123085218975,
        4.715432140468254,
        4.71545197241461,
        4.715471804360965,
        4.715491636307322,
        4.715511468253678,
        4.715531300200033,
        4.715551132146389,
        4.715570964092746,
        4.715590796039102,
        4.715610627985458,
        4.715630459931814,
        4.715650291878171,
        4.715670123824527,
        4.715689955770883,
        4.7157097877172385,
        4.715729619663595,
        4.715749451609951,
        4.715769283556307,
        4.715789115502663,
        4.71580894744902,
        4.715828779395376,
        4.715848611341731,
        4.715868443288088,
        4.715888275234444,
        4.715908107180801,
        4.715927939127156,
        4.7159477710735125,
        4.715967603019868,
        4.715987434966225,
        4.71600726691258,
        4.7160270988589374,
        4.716046930805293,
        4.71606676275165,
        4.716086594698005,
        4.716106426644362,
        4.716126258590718,
        4.716146090537075,
        4.71616592248343,
        4.716185754429786,
        4.716205586376142,
        4.716225418322498,
        4.716245250268854,
        4.716265082215211,
        4.716284914161567,
        4.716304746107923,
        4.716324578054279,
        4.7163444100006355,
        4.716364241946992,
        4.716384073893348,
        4.716403905839704,
        4.71642373778606,
        4.716443569732416,
        4.716463401678772,
        4.716483233625128,
        4.716503065571485,
        4.71652289751784,
        4.716542729464197,
        4.716562561410552,
        4.7165823933569095,
        4.716602225303265,
        4.716622057249622,
        4.716641889195977,
        4.716661721142333,
        4.716681553088689,
        4.716701385035045,
        4.7167212169814015,
        4.716741048927758,
        4.716760880874114,
        4.71678071282047,
        4.716800544766826,
        4.716820376713183,
        4.716840208659539,
        4.716860040605894,
        4.716879872552251,
        4.716899704498606,
        4.716919536444963,
        4.716939368391318,
        4.7169592003376755,
        4.716979032284031,
        4.716998864230388,
        4.717018696176743,
        4.7170385281231,
        4.717058360069456,
        4.717078192015813,
        4.717098023962168,
        4.717117855908525,
        4.71713768785488,
        4.717157519801236,
        4.717177351747592,
        4.7173062593989075,
        4.717474830942935,
        4.71749466288929,
        4.7175144948356476,
        4.717534326782003,
        4.71755415872836,
        4.717573990674715,
        4.7175938226210725,
        4.717613654567427,
        4.717633486513784,
        4.7176533184601395,
        4.717673150406497,
        4.717692982352852,
        4.717712814299209,
        4.717732646245564,
        4.717752478191922,
        4.717772310138277,
        4.717792142084634,
        4.717811974030989,
        4.717831805977345,
        4.717851637923701,
        4.717871469870056,
        4.7178913018164135,
        4.717911133762769,
        4.717930965709126,
        4.717950797655481,
        4.717970629601838,
        4.717990461548194,
        4.718010293494551,
        4.718030125440906,
        4.718049957387263,
        4.718069789333619,
        4.718089621279975,
        4.71810945322633,
        4.7181292851726875,
        4.718149117119043,
        4.718168949065399,
        4.718188781011755,
        4.718248276850824,
        4.71826810879718,
        4.7182879407435365,
        4.718307772689893,
        4.718327604636248,
        4.718347436582604,
        4.718367268528961,
        4.718387100475317,
        4.718406932421673,
        4.718426764368029,
        4.718446596314386,
        4.718466428260742,
        4.718486260207098,
        4.718506092153453,
        4.7185259240998105,
        4.718545756046166,
        4.718565587992522,
        4.7185854199388775,
        4.718605251885235,
        4.71862508383159,
        4.718644915777947,
        4.718664747724302,
        4.71868457967066,
        4.718704411617015,
        4.718724243563372,
        4.718744075509727,
        4.7187639074560845,
        4.71878373940244,
        4.718803571348795,
        4.7188234032951515,
        4.718843235241508,
        4.718863067187864,
        4.71888289913422,
        4.7189027310805765,
        4.718922563026932,
        4.718942394973289,
        4.718962226919644,
        4.718982058866001,
        4.719001890812357,
        4.719021722758714,
        4.719041554705068,
        4.7190613866514255,
        4.719081218597781,
        4.719101050544138,
        4.719120882490493,
        4.71914071443685,
        4.719160546383206,
        4.719180378329562,
        4.719200210275918,
        4.7192200422222745,
        4.719239874168631,
        4.719259706114987,
        4.719279538061342,
        4.719299370007699,
        4.719319201954055,
        4.719339033900411,
        4.719358865846767,
        4.719378697793124,
        4.71939852973948,
        4.719418361685836,
        4.719438193632192,
        4.7194580255785485,
        4.719477857524904,
        4.719497689471261,
        4.7195175214176155,
        4.719537353363973,
        4.719557185310328,
        4.719577017256685,
        4.7195968492030405,
        4.719616681149398,
        4.719636513095753,
        4.71965634504211,
        4.719676176988465,
        4.7196960089348226,
        4.719715840881178,
        4.719735672827535,
        4.7197555047738895,
        4.719775336720247,
        4.719795168666602,
        4.719815000612958,
        4.7198348325593145,
        4.719854664505671,
        4.719874496452027,
        4.719894328398383,
        4.719914160344739,
        4.719933992291096,
        4.719953824237452,
        4.719973656183808,
        4.7199934881301635,
        4.72001332007652,
        4.720033152022876,
        4.720052983969231,
        4.7200728159155885,
        4.720092647861944,
        4.720112479808301,
        4.720132311754656,
        4.7201521437010125,
        4.720171975647369,
        4.720191807593725,
        4.720211639540081,
        4.720231471486437,
        4.720251303432793,
        4.720271135379149,
        4.720290967325505,
        4.720310799271862,
        4.720330631218218,
        4.720350463164574,
        4.72037029511093,
        4.7203901270572866,
        4.720409959003643,
        4.720429790949999,
        4.720449622896354,
        4.720469454842711,
        4.720489286789066,
        4.720509118735423,
        4.7205289506817785,
        4.720548782628136,
        4.720568614574491,
        4.720588446520848,
        4.720608278467203,
        4.720628110413561,
        4.720647942359916,
        4.720667774306273,
        4.720687606252628,
        4.720707438198985,
        4.72072727014534,
        4.720747102091697,
        4.7207669340380525,
        4.720786765984409,
        4.720806597930765,
        4.720826429877121,
        4.720846261823477,
        4.720866093769834,
        4.72088592571619,
        4.720905757662546,
        4.720925589608902,
        4.720945421555258,
        4.720965253501614,
        4.72098508544797,
        4.7210049173943265,
        4.721024749340683,
        4.721044581287039,
        4.721064413233395,
        4.7210842451797514,
        4.721104077126108,
        4.721123909072463,
        4.72114374101882,
        4.7211635729651755,
        4.721183404911532,
        4.721203236857887,
        4.721223068804243,
        4.7212429007506,
        4.721262732696956,
        4.721282564643312,
        4.721302396589668,
        4.721322228536025,
        4.721342060482381,
        4.721361892428737,
        4.721381724375093,
        4.7214015563214495,
        4.721421388267805,
        4.721441220214161,
        4.7214610521605165,
        4.721480884106874,
        4.721500716053229,
        4.721520547999586,
        4.7215403799459414,
        4.721560211892299,
        4.721580043838654,
        4.721599875785011,
        4.721619707731366,
        4.7216395396777235,
        4.721659371624078,
        4.721679203570435,
        4.7216990355167905,
        4.721718867463148,
        4.721738699409503,
        4.721758531355859,
        4.7217783633022155,
        4.721798195248572,
        4.721818027194928,
        4.721837859141284,
        4.72185769108764,
        4.721877523033997,
        4.721897354980352,
        4.721917186926708,
        4.7219370188730645,
        4.721956850819421,
        4.721976682765777,
        4.721996514712133,
        4.7220163466584895,
        4.722036178604846,
        4.722056010551202,
        4.722075842497558,
        4.7220956744439135,
        4.722115506390271,
        4.722135338336625,
        4.722155170282982,
        4.722175002229338,
        4.722194834175695,
        4.72221466612205,
        4.722234498068407,
        4.722254330014763,
        4.72227416196112,
        4.722293993907475,
        4.722313825853832,
        4.7223336578001875,
        4.722353489746544,
        4.722373321692899,
        4.722393153639255,
        4.722412985585612,
        4.722432817531967,
        4.722452649478324,
        4.7224724814246795,
        4.722492313371037,
        4.722512145317392,
        4.722531977263749,
        4.722551809210104,
        4.7225716411564616,
        4.722591473102817,
        4.722611305049174,
        4.7226311369955285,
        4.722650968941886,
        4.722670800888241,
        4.722690632834598,
        4.7227104647809535,
        4.722730296727311,
        4.722750128673666,
        4.722769960620022,
        4.722789792566378,
        4.722809624512735,
        4.722829456459091,
        4.722849288405447,
        4.7228691203518025,
        4.722888952298159,
        4.722908784244515,
        4.722928616190871,
        4.7229484481372275,
        4.722968280083584,
        4.72298811202994,
        4.723007943976296,
        4.723027775922652,
        4.723047607869009,
        4.723067439815365,
        4.723087271761721,
        4.723107103708076,
        4.723126935654433,
        4.723146767600788,
        4.723166599547145,
        4.723186431493501,
        4.723206263439858,
        4.723226095386213,
        4.72324592733257,
        4.723265759278926,
        4.723285591225283,
        4.723305423171638,
        4.723325255117995,
        4.72334508706435,
        4.723364919010707,
        4.723384750957062,
        4.723404582903418,
        4.723424414849775,
        4.72344424679613,
        4.723464078742487,
        4.723483910688842,
        4.7235037426352,
        4.723523574581555,
        4.723543406527912,
        4.723563238474267,
        4.723583070420624,
        4.723602902366979,
        4.723622734313336,
        4.7236425662596915,
        4.723662398206049,
        4.723682230152404,
        4.723702062098761,
        4.723721894045116,
        4.723741725991473,
        4.723761557937829,
        4.723781389884185,
        4.723801221830541,
        4.723821053776897,
        4.723840885723253,
        4.723860717669609,
        4.7238805496159655,
        4.723900381562322,
        4.723920213508678,
        4.723940045455034,
        4.7239598774013905,
        4.723979709347747,
        4.723999541294103,
        4.724019373240459,
        4.724039205186815,
        4.724059037133171,
        4.724078869079526,
        4.724098701025883,
        4.724118532972239,
        4.724138364918596,
        4.724158196864951,
        4.724178028811308,
        4.724197860757664,
        4.724217692704021,
        4.724237524650376,
        4.724257356596733,
        4.7242771885430885,
        4.724297020489445,
        4.7243168524358,
        4.724336684382157,
        4.724356516328513,
        4.72437634827487,
        4.724396180221225,
        4.724416012167581,
        4.724435844113938,
        4.724455676060294,
        4.72447550800665,
        4.724495339953006,
        4.7245151718993625,
        4.724535003845718,
        4.724554835792074,
        4.72457466773843,
        4.724594499684787,
        4.724614331631142,
        4.724634163577499,
        4.7246539955238545,
        4.724673827470212,
        4.724693659416567,
        4.724713491362923,
        4.724733323309279,
        4.724753155255636,
        4.724772987201991,
        4.724792819148347,
        4.7248126510947035,
        4.72483248304106,
        4.724852314987416,
        4.724872146933772,
        4.7248919788801285,
        4.724911810826485,
        4.724931642772841,
        4.724951474719197,
        4.724971306665553,
        4.72499113861191,
        4.725010970558265,
        4.725030802504621,
        4.725050634450977,
        4.725070466397334,
        4.725090298343689,
        4.725110130290046,
        4.725129962236402,
        4.725149794182759,
        4.725169626129114,
        4.725189458075471,
        4.7252092900218265,
        4.725229121968184,
        4.725248953914538,
        4.725268785860895,
        4.725288617807251,
        4.725308449753608,
        4.725328281699963,
        4.72534811364632,
        4.725367945592676,
        4.725387777539032,
        4.725407609485388,
        4.725427441431744,
        4.7254472733781006,
        4.725467105324457,
        4.725486937270812,
        4.725506769217168,
        4.725526601163525,
        4.725546433109881,
        4.725566265056237,
        4.725586097002593,
        4.72560592894895,
        4.725625760895306,
        4.725645592841662,
        4.725665424788018,
        4.725685256734375,
        4.725705088680731,
        4.725724920627085,
        4.7257447525734415,
        4.725764584519798,
        4.725784416466154,
        4.72580424841251,
        4.7258240803588665,
        4.725843912305223,
        4.725863744251579,
        4.725883576197935,
        4.725903408144291,
        4.725923240090648,
        4.725943072037004,
        4.725962903983359,
        4.7259827359297155,
        4.726002567876072,
        4.726022399822428,
        4.726042231768784,
        4.72606206371514,
        4.726081895661497,
        4.726101727607852,
        4.726121559554209,
        4.726141391500565,
        4.726161223446922,
        4.726181055393277,
        4.726200887339633,
        4.726319879017771,
        4.726518198481331,
        4.726538030427688,
        4.726557862374044,
        4.7265776943204,
        4.726597526266756,
        4.726617358213113,
        4.726637190159469,
        4.726657022105825,
        4.72667685405218,
        4.726696685998536,
        4.726716517944893,
        4.726736349891248,
        4.726756181837605,
        4.726776013783961,
        4.726795845730318,
        4.726815677676673,
        4.72683550962303,
        4.726855341569386,
        4.726875173515743,
        4.726895005462098,
        4.7269148374084535,
        4.72693466935481,
        4.726954501301166,
        4.726974333247522,
        4.7269941651938785,
        4.727013997140235,
        4.72703382908659,
        4.727053661032947,
        4.727073492979303,
        4.72709332492566,
        4.727113156872015,
        4.727132988818372,
        4.727152820764727,
        4.727172652711084,
        4.727192484657439,
        4.727212316603796,
        4.727232148550152,
        4.727251980496509,
        4.727271812442864,
        4.727291644389221,
        4.727311476335577,
        4.727331308281934,
        4.727351140228289,
        4.727370972174645,
        4.727390804121001,
        4.727410636067357,
        4.727430468013713,
        4.727450299960069,
        4.727470131906426,
        4.727489963852782,
        4.727509795799138,
        4.727529627745494,
        4.727727947209055,
        4.728045258350753,
        4.72806509029711,
        4.7280849222434655,
        4.728104754189822,
        4.728124586136177,
        4.728144418082534,
        4.72816425002889,
        4.728184081975247,
        4.728203913921602,
        4.728223745867959,
        4.728243577814315,
        4.728263409760672,
        4.728283241707027,
        4.728303073653384,
        4.72832290559974,
        4.728342737546095,
        4.728362569492451,
        4.728382401438807,
        4.728402233385164,
        4.72842206533152,
        4.728441897277876,
        4.728461729224232,
        4.728481561170589,
        4.728501393116945,
        4.728521225063301,
        4.728541057009657,
        4.728560888956014,
        4.728580720902369,
        4.728600552848725,
        4.728620384795081,
        4.728640216741438,
        4.728660048687794,
        4.728679880634149,
        4.728699712580506,
        4.728719544526862,
        4.728739376473219,
        4.728759208419574,
        4.728779040365931,
        4.728798872312287,
        4.728818704258643,
        4.728838536204998,
        4.728858368151355,
        4.728878200097711,
        4.728898032044068,
        4.728917863990423,
        4.72893769593678,
        4.728957527883136,
        4.728977359829493,
        4.728997191775848,
        4.729116183453985,
        4.72913601540034,
        4.729155847346697,
        4.729175679293053,
        4.72919551123941,
        4.729215343185765,
        4.729235175132122,
        4.729255007078478,
        4.729274839024835,
        4.729294670971189,
        4.729314502917545,
        4.729334334863902,
        4.729354166810258,
        4.729373998756614,
        4.72939383070297,
        4.729413662649327,
        4.729433494595683,
        4.729453326542039,
        4.729473158488395,
        4.729492990434752,
        4.729512822381108,
        4.729532654327463,
        4.729552486273819,
        4.729572318220176,
        4.729592150166532,
        4.729611982112888,
        4.729631814059244,
        4.7296516460056,
        4.729671477951957,
        4.729691309898312,
        4.729711141844669,
        4.729730973791025,
        4.729750805737382,
        4.729770637683736,
        4.729790469630093,
        4.729810301576449,
        4.729830133522806,
        4.729849965469161,
        4.729869797415518,
        4.729889629361874,
        4.729909461308231,
        4.729929293254586,
        4.729949125200943,
        4.729968957147299,
        4.729988789093655,
        4.73000862104001,
        4.7300284529863665,
        4.730048284932723,
        4.730068116879079,
        4.730087948825435,
        4.7301077807717915,
        4.730127612718148,
        4.730147444664504,
        4.73016727661086,
        4.7301871085572165,
        4.730206940503573,
        4.730226772449929,
        4.730246604396284,
        4.7302664363426405,
        4.730286268288997,
        4.730306100235352,
        4.730325932181708,
        4.730345764128065,
        4.730365596074421,
        4.730385428020777,
        4.730405259967133,
        4.73042509191349,
        4.730444923859846,
        4.730464755806202,
        4.730484587752557,
        4.730504419698914,
        4.73052425164527,
        4.730544083591626,
        4.730563915537982,
        4.730583747484339,
        4.730603579430695,
        4.730623411377051,
        4.730643243323407,
        4.730663075269763,
        4.73068290721612,
        4.730702739162475,
        4.730722571108831,
        4.730742403055187,
        4.730762235001544,
        4.730782066947899,
        4.730801898894256,
        4.730821730840612,
        4.730841562786969,
        4.730861394733324,
        4.730881226679681,
        4.730901058626037,
        4.730920890572394,
        4.730940722518749,
        4.7309605544651046,
        4.730980386411461,
        4.731000218357817,
        4.731020050304173,
        4.7310398822505295,
        4.731059714196886,
        4.731079546143242,
        4.731099378089598,
        4.7311192100359545,
        4.731139041982311,
        4.731158873928667,
        4.731178705875023,
        4.731198537821379,
        4.731218369767735,
        4.731238201714091,
        4.731258033660447,
        4.7312778656068035,
        4.731297697553159,
        4.731317529499516,
        4.731337361445871,
        4.7313571933922285,
        4.731377025338584,
        4.731396857284941,
        4.731416689231296,
        4.731436521177652,
        4.731456353124008,
        4.731476185070364,
        4.73149601701672,
        4.731515848963077,
        4.731535680909433,
        4.731555512855789,
        4.731575344802145,
        4.731595176748502,
        4.731615008694858,
        4.731634840641213,
        4.73165467258757,
        4.731674504533925,
        4.731694336480282,
        4.731714168426637,
        4.731734000372994,
        4.73175383231935,
        4.731773664265707,
        4.731793496212062,
        4.731813328158419,
        4.731833160104775,
        4.731852992051132,
        4.731872823997487,
        4.731892655943844,
        4.731912487890199,
        4.731932319836556,
        4.731952151782911,
        4.7319719837292675,
        4.731991815675624,
        4.73201164762198,
        4.732031479568336,
        4.7320513115146925,
        4.732071143461049,
        4.732090975407405,
        4.732110807353761,
        4.7321306393001175,
        4.732150471246473,
        4.732170303192829,
        4.732190135139185,
        4.7322099670855415,
        4.732229799031898,
        4.732249630978254,
        4.73226946292461,
        4.7322892948709665,
        4.732309126817322,
        4.732328958763679,
        4.732348790710034,
        4.7323686226563915,
        4.732388454602747,
        4.732408286549103,
        4.732428118495458,
        4.7324479504418155,
        4.732467782388171,
        4.732487614334528,
        4.732507446280883,
        4.7325272782272405,
        4.732547110173596,
        4.732566942119953,
        4.732586774066308,
        4.732606606012664,
        4.732626437959021,
        4.732646269905375,
        4.732666101851732,
        4.732685933798088,
        4.732705765744445,
        4.7327255976908,
        4.732745429637157,
        4.732765261583513,
        4.73278509352987,
        4.732804925476225,
        4.732824757422582,
        4.732844589368938,
        4.732864421315295,
        4.732884253261649,
        4.732904085208006,
        4.732923917154362,
        4.732943749100718,
        4.732963581047074,
        4.7329834129934305,
        4.733003244939787,
        4.733023076886143,
        4.733042908832499,
        4.7330627407788555,
        4.733082572725212,
        4.733102404671568,
        4.733122236617923,
        4.7331420685642795,
        4.733161900510636,
        4.733181732456992,
        4.733201564403348,
        4.7332213963497045,
        4.733241228296061,
        4.733261060242417,
        4.733280892188772,
        4.7333007241351295,
        4.733320556081485,
        4.733340388027842,
        4.733360219974196,
        4.7333800519205536,
        4.733399883866909,
        4.733419715813266,
        4.733439547759621,
        4.7334593797059785,
        4.733479211652334,
        4.733499043598691,
        4.733518875545046,
        4.7335387074914035,
        4.733558539437759,
        4.733578371384116,
        4.73359820333047,
        4.733618035276827,
        4.733637867223183,
        4.733657699169539,
        4.733677531115895,
        4.733697363062251,
        4.733717195008608,
        4.733737026954963,
        4.73375685890132,
        4.733776690847676,
        4.733796522794033,
        4.733816354740388,
        4.733836186686744,
        4.7338560186331,
        4.733875850579457,
        4.733895682525812,
        4.7339155144721685,
        4.733935346418525,
        4.733955178364881,
        4.733975010311237,
        4.7339948422575935,
        4.73401467420395,
        4.734034506150306,
        4.734054338096662,
        4.734074170043018,
        4.734094001989374,
        4.73411383393573,
        4.734133665882086,
        4.7341534978284425,
        4.734173329774799,
        4.734193161721155,
        4.734212993667511,
        4.7342328256138675,
        4.734252657560223,
        4.73427248950658,
        4.734292321452935,
        4.734312153399292,
        4.734331985345647,
        4.734351817292004,
        4.734371649238359,
        4.7343914811847165,
        4.734411313131072,
        4.734431145077429,
        4.734450977023784,
        4.7344708089701415,
        4.734490640916497,
        4.734510472862854,
        4.734530304809209,
        4.734550136755566,
        4.734569968701921,
        4.734589800648277,
        4.734609632594633,
        4.73462946454099,
        4.734649296487346,
        4.734669128433702,
        4.734688960380058,
        4.734708792326415,
        4.734728624272771,
        4.734748456219127,
        4.734768288165483,
        4.734788120111839,
        4.734807952058195,
        4.73482778400455,
        4.734847615950907,
        4.734867447897263,
        4.73488727984362,
        4.734907111789975,
        4.7349269437363315,
        4.734946775682688,
        4.734966607629044,
        4.7349864395754,
        4.7350062715217565,
        4.735026103468112,
        4.735045935414468,
        4.735065767360824,
        4.7350855993071805,
        4.735105431253537,
        4.735125263199893,
        4.735145095146249,
        4.7351649270926055,
        4.735184759038962,
        4.735204590985318,
        4.735224422931674,
        4.7352442548780305,
        4.735264086824385,
        4.735283918770742,
        4.735303750717097,
        4.7353235826634545,
        4.73534341460981,
        4.735363246556167,
        4.735383078502522,
        4.7354029104488795,
        4.735621061858796,
        4.735640893805153,
        4.735660725751509,
        4.735680557697865,
        4.735700389644221,
        4.735720221590578,
        4.735740053536933,
        4.735759885483289,
        4.735779717429645,
        4.735799549376002,
        4.735819381322358,
        4.735839213268714,
        4.73585904521507,
        4.735878877161427,
        4.735898709107782,
        4.735918541054139,
        4.7359383730004945,
        4.735958204946852,
        4.735978036893206,
        4.735997868839562,
        4.7360177007859185,
        4.736037532732275,
        4.736057364678631,
        4.736077196624987,
        4.7360970285713435,
        4.7361168605177,
        4.736136692464056,
        4.736156524410412,
        4.7361763563567685,
        4.736196188303125,
        4.73621602024948,
        4.736235852195835,
        4.736255684142193,
        4.736275516088548,
        4.736295348034905,
        4.73631517998126,
        4.7363350119276175,
        4.736354843873973,
        4.73637467582033,
        4.736394507766685,
        4.7364143397130425,
        4.736434171659398,
        4.736454003605754,
        4.736473835552109,
        4.736493667498467,
        4.736513499444822,
        4.736533331391179,
        4.736553163337534,
        4.736572995283891,
        4.736592827230247,
        4.736612659176603,
        4.736632491122959,
        4.736652323069316,
        4.736672155015672,
        4.736691986962027,
        4.736711818908383,
        4.73673165085474,
        4.736751482801096,
        4.736771314747452,
        4.736791146693808,
        4.736810978640165,
        4.736830810586521,
        4.736850642532877,
        4.7368704744792325,
        4.73689030642559,
        4.736910138371945,
        4.736929970318301,
        4.736949802264657,
        4.736969634211014,
        4.736989466157369,
        4.737009298103726,
        4.7370291300500815,
        4.737048961996439,
        4.737068793942794,
        4.737088625889151,
        4.7371084578355065,
        4.737128289781863,
        4.737148121728219,
        4.737167953674574,
        4.737187785620931,
        4.737207617567286,
        4.737227449513643,
        4.737247281459998,
        4.7372671134063555,
        4.737286945352711,
        4.737306777299068,
        4.737326609245423,
        4.7373464411917805,
        4.737366273138136,
        4.737386105084493,
        4.7374059370308474,
        4.737425768977205,
        4.73744560092356,
        4.737465432869917,
        4.737485264816272,
        4.7375050967626295,
        4.737524928708985,
        4.737544760655341,
        4.737564592601697,
        4.737584424548054,
        4.73760425649441,
        4.737624088440766,
        4.7376439203871215,
        4.737663752333478,
        4.737683584279834,
        4.73770341622619,
        4.737723248172546,
        4.737743080118903,
        4.737762912065259,
        4.737782744011615,
        4.737802575957971,
        4.737822407904328,
        4.737842239850684,
        4.73786207179704,
        4.737881903743395,
        4.737901735689752,
        4.737921567636107,
        4.737941399582464,
        4.7379612315288195,
        4.737981063475177,
        4.738000895421532,
        4.738020727367889,
        4.7380405593142445,
        4.738060391260602,
        4.738080223206957,
        4.738100055153314,
        4.738119887099669,
        4.738139719046026,
        4.738159550992381,
        4.738179382938738,
        4.7381992148850935,
        4.738219046831449,
        4.738238878777806,
        4.738258710724161,
        4.7382785426705185,
        4.738298374616874,
        4.738318206563231,
        4.738338038509586,
        4.738357870455943,
        4.738377702402298,
        4.738397534348655,
        4.73841736629501,
        4.7384371982413676,
        4.738457030187723,
        4.73847686213408,
        4.738496694080435,
        4.7385165260267925,
        4.738536357973148,
        4.738556189919504,
        4.73857602186586,
        4.738595853812216,
        4.738615685758572,
        4.738635517704928,
        4.738655349651284,
        4.738675181597641,
        4.738695013543997,
        4.738714845490353,
        4.738734677436709,
        4.738754509383066,
        4.738774341329422,
        4.738794173275778,
        4.738814005222134,
        4.73883383716849,
        4.738853669114845,
        4.738873501061202,
        4.7388933330075576,
        4.738913164953915,
        4.73893299690027,
        4.738952828846627,
        4.7389726607929825,
        4.73899249273934,
        4.739012324685695,
        4.739032156632052,
        4.7390519885784075,
        4.739071820524764,
        4.739091652471119,
        4.739111484417476,
        4.739131316363832,
        4.739151148310189,
        4.739170980256544,
        4.7391908122029,
        4.7392106441492565,
        4.739230476095613,
        4.739250308041969,
        4.739270139988325,
        4.7392899719346815,
        4.739309803881037,
        4.739329635827393,
        4.739349467773749,
        4.739369299720106,
        4.739389131666461,
        4.739408963612818,
        4.739428795559173,
        4.7394486275055305,
        4.739468459451886,
        4.739488291398243,
        4.739508123344598,
        4.739527955290955,
        4.73954778723731,
        4.739567619183666,
        4.7395874511300224,
        4.739607283076379,
        4.739627115022735,
        4.739646946969091,
        4.739726274754516,
        4.739746106700872,
        4.739765938647229,
        4.739785770593584,
        4.73980560253994,
        4.7398254344862965,
        4.739845266432653,
        4.739865098379008,
        4.739884930325365,
        4.7399047622717205,
        4.739924594218078,
        4.739944426164433,
        4.73996425811079,
        4.7399840900571455,
        4.740003922003503,
        4.740023753949857,
        4.740043585896214,
        4.74006341784257,
        4.740083249788927,
        4.740103081735282,
        4.740122913681639,
        4.7401427456279945,
        4.740162577574351,
        4.740182409520707,
        4.740202241467063,
        4.7402220734134195,
        4.740241905359776,
        4.740261737306131,
        4.740281569252487,
        4.740301401198844,
        4.7403212331452,
        4.740341065091556,
        4.740360897037912,
        4.7403807289842685,
        4.740400560930625,
        4.740420392876981,
        4.740440224823337,
        4.7404600567696935,
        4.74047988871605,
        4.740499720662404,
        4.7405195526087605,
        4.740539384555117,
        4.740559216501473,
        4.740579048447829,
        4.740598880394185,
        4.740618712340542,
        4.740638544286898,
        4.740658376233254,
        4.74067820817961,
        4.740698040125967,
        4.740717872072323,
        4.740737704018678,
        4.7407575359650345,
        4.740777367911391,
        4.740797199857747,
        4.740817031804103,
        4.7408368637504585,
        4.740856695696816,
        4.740876527643171,
        4.740896359589528,
        4.7409161915358835,
        4.740936023482241,
        4.740955855428596,
        4.740975687374952,
        4.740995519321308,
        4.741015351267665,
        4.74103518321402,
        4.741055015160377,
        4.7410748471067325,
        4.74109467905309,
        4.741114510999445,
        4.741134342945802,
        4.7411541748921575,
        4.741174006838514,
        4.74119383878487,
        4.741213670731225,
        4.741233502677582,
        4.741253334623938,
        4.741273166570294,
        4.74129299851665,
        4.7413128304630066,
        4.741332662409363,
        4.741352494355719,
        4.741372326302075,
        4.7413921582484315,
        4.741411990194788,
        4.741431822141144,
        4.741451654087499,
        4.741471486033856,
        4.741491317980212,
        4.741511149926567,
        4.741530981872924,
        4.74155081381928,
        4.741570645765637,
        4.741590477711992,
        4.741610309658349,
        4.741630141604705,
        4.741649973551062,
        4.741669805497417,
        4.7416896374437725,
        4.741709469390129,
        4.741729301336485,
        4.741749133282841,
        4.741768965229197,
        4.741788797175554,
        4.741808629121909,
        4.741828461068266,
        4.7418482930146215,
        4.741868124960979,
        4.741887956907334,
        4.741907788853691,
        4.741927620800046,
        4.741947452746403,
        4.741967284692758,
        4.741987116639115,
        4.742006948585471,
        4.742026780531828,
        4.742046612478183,
        4.74206644442454,
        4.7420862763708955,
        4.742106108317253,
        4.742125940263608,
        4.742145772209964,
        4.74216560415632,
        4.742185436102676,
        4.742205268049032,
        4.742225099995388,
        4.742244931941745,
        4.742264763888101,
        4.742284595834457,
        4.742304427780813,
        4.7423242597271695,
        4.742344091673526,
        4.742363923619882,
        4.742383755566238,
        4.7424035875125945,
        4.74242341945895,
        4.742443251405306,
        4.742463083351662,
        4.742482915298018,
        4.742502747244375,
        4.74252257919073,
        4.742542411137087,
        4.742562243083443,
        4.7425820750298,
        4.742601906976155,
        4.742621738922512,
        4.742641570868868,
        4.742661402815224,
        4.742681234761579,
        4.742701066707936,
        4.742720898654292,
        4.742740730600649,
        4.742760562547004,
        4.742780394493361,
        4.742800226439717,
        4.742820058386072,
        4.742839890332429,
        4.7428597222787845,
        4.742879554225142,
        4.742899386171496,
        4.742919218117853,
        4.742939050064209,
        4.742958882010566,
        4.742978713956921,
        4.742998545903278,
        4.7430183778496335,
        4.743038209795991,
        4.743058041742346,
        4.743077873688703,
        4.7430977056350585,
        4.743117537581415,
        4.74313736952777,
        4.743157201474126,
        4.743177033420483,
        4.743196865366839,
        4.743216697313195,
        4.743236529259551,
        4.7432563612059075,
        4.743276193152264,
        4.74329602509862,
        4.743315857044976,
        4.7433356889913325,
        4.743355520937689,
        4.743375352884044,
        4.7433951848304,
        4.743415016776757,
        4.743434848723113,
        4.743454680669468,
        4.743474512615825,
        4.743494344562181,
        4.743514176508538,
        4.743534008454893,
        4.74355384040125,
        4.743573672347606,
        4.743593504293963,
        4.743613336240317,
        4.743633168186674,
        4.74365300013303,
        4.743672832079387,
        4.743692664025742,
        4.743712495972099,
        4.743732327918455,
        4.743752159864812,
        4.743771991811167,
        4.743791823757523,
        4.74381165570388,
        4.743831487650236,
        4.743851319596591,
        4.7438711515429475,
        4.743890983489304,
        4.743910815435659,
        4.743930647382016,
        4.7439504793283716,
        4.743970311274729,
        4.743990143221084,
        4.744009975167441,
        4.7440298071137965,
        4.744049639060154,
        4.744069471006509,
        4.744089302952865,
        4.744109134899221,
        4.744128966845577,
        4.744148798791933,
        4.744168630738289,
        4.744188462684646,
        4.744208294631002,
        4.744228126577358,
        4.744247958523714,
        4.7442677904700705,
        4.744287622416427,
        4.744307454362783,
        4.744327286309138,
        4.744347118255495,
        4.744366950201851,
        4.744386782148207,
        4.744406614094563,
        4.74442644604092,
        4.744446277987276,
        4.744466109933631,
        4.744485941879988,
        4.744505773826344,
        4.744525605772701,
        4.744545437719056,
        4.744565269665412,
        4.744585101611768,
        4.744604933558125,
        4.744664429397194,
        4.7448825808071105,
        4.744902412753467,
        4.744922244699823,
        4.744942076646179,
        4.744961908592535,
        4.744981740538892,
        4.745001572485248,
        4.745021404431604,
        4.7450412363779595,
        4.745061068324316,
        4.745080900270671,
        4.745100732217027,
        4.745120564163384,
        4.74514039610974,
        4.745160228056096,
        4.745180060002452,
        4.7451998919488085,
        4.745219723895165,
        4.745239555841521,
        4.745259387787877,
        4.745279219734233,
        4.745299051680589,
        4.745318883626945,
        4.745338715573301,
        4.745358547519658,
        4.745378379466014,
        4.74539821141237,
        4.745418043358726,
        4.745437875305082,
        4.745457707251439,
        4.745477539197794,
        4.745497371144151,
        4.745517203090506,
        4.745537035036863,
        4.745556866983218,
        4.745576698929575,
        4.745596530875931,
        4.745616362822288,
        4.745636194768643,
        4.745656026715,
        4.745675858661356,
        4.745695690607713,
        4.745715522554068,
        4.745735354500425,
        4.74575518644678,
        4.745775018393136,
        4.745794850339492,
        4.7458146822858485,
        4.745834514232205,
        4.745854346178561,
        4.745874178124917,
        4.745894010071273,
        4.74591384201763,
        4.745933673963986,
        4.745953505910342,
        4.745973337856698,
        4.745993169803054,
        4.74601300174941,
        4.746032833695766,
        4.7460526656421225,
        4.746072497588478,
        4.746092329534835,
        4.74611216148119,
        4.746131993427547,
        4.746151825373903,
        4.74617165732026,
        4.746191489266615,
        4.7462113212129715,
        4.746231153159327,
        4.746250985105683,
        4.746270817052039,
        4.746290648998396,
        4.746310480944752,
        4.746330312891108,
        4.746350144837464,
        4.7463699767838206,
        4.746389808730177,
        4.746409640676532,
        4.746429472622889,
        4.746449304569245,
        4.746469136515601,
        4.746488968461956,
        4.746508800408313,
        4.746528632354669,
        4.746548464301026,
        4.746568296247381,
        4.746588128193738,
        4.746607960140094,
        4.746627792086451,
        4.746647624032806,
        4.746667455979163,
        4.746687287925519,
        4.746707119871875,
        4.74672695181823,
        4.7467467837645865,
        4.746766615710943,
        4.746786447657299,
        4.746806279603655,
        4.746826111550011,
        4.746845943496368,
        4.746865775442724,
        4.74688560738908,
        4.746905439335436,
        4.746925271281793,
        4.746945103228148,
        4.746964935174504,
        4.7469847671208605,
        4.747004599067217,
        4.747024431013573,
        4.747044262959929,
        4.7470640949062854,
        4.747083926852641,
        4.747103758798998,
        4.747123590745353,
        4.74714342269171,
        4.747163254638066,
        4.747183086584422,
        4.747202918530777,
        4.7472227504771345,
        4.74724258242349,
        4.747262414369847,
        4.747282246316202,
        4.7473020782625595,
        4.747321910208915,
        4.747341742155272,
        4.747361574101627,
        4.7473814060479835,
        4.74740123799434,
        4.747421069940694,
        4.747440901887051,
        4.747460733833407,
        4.747480565779764,
        4.747500397726119,
        4.747520229672476,
        4.747540061618832,
        4.747559893565189,
        4.747579725511544,
        4.747599557457901,
        4.747619389404257,
        4.747639221350614,
        4.747659053296968,
        4.747678885243325,
        4.747698717189681,
        4.747718549136038,
        4.747738381082393,
        4.7477582130287495,
        4.747778044975106,
        4.747797876921462,
        4.747817708867818,
        4.747837540814174,
        4.747857372760531,
        4.747877204706887,
        4.747897036653242,
        4.7479168685995985,
        4.747936700545955,
        4.747956532492311,
        4.747976364438667,
        4.7479961963850235,
        4.74801602833138,
        4.748035860277736,
        4.748055692224091,
        4.748075524170448,
        4.748095356116804,
        4.748115188063161,
        4.748135020009515,
        4.7481548519558725,
        4.748174683902228,
        4.748194515848585,
        4.74821434779494,
        4.7482341797412975,
        4.748254011687653,
        4.74827384363401,
        4.748293675580365,
        4.748313507526722,
        4.748333339473078,
        4.748353171419435,
        4.748373003365789,
        4.748392835312146,
        4.748412667258502,
        4.748432499204858,
        4.748452331151214,
        4.74847216309757,
        4.748491995043927,
        4.748511826990282,
        4.748531658936639,
        4.748551490882995,
        4.748571322829352,
        4.748591154775707,
        4.748610986722063,
        4.748630818668419,
        4.748650650614776,
        4.748670482561131,
        4.748690314507488,
        4.748710146453844,
        4.7487299784002,
        4.748749810346556,
        4.748769642292912,
        4.748789474239269,
        4.748809306185625,
        4.748829138131981,
        4.7488489700783365,
        4.748868802024693,
        4.748888633971049,
        4.748908465917405,
        4.7489282978637615,
        4.748948129810118,
        4.748967961756474,
        4.74898779370283,
        4.749007625649186,
        4.749027457595542,
        4.749047289541899,
        4.749067121488254,
        4.7490869534346105,
        4.749106785380966,
        4.749126617327323,
        4.749146449273678,
        4.7491662812200355,
        4.749186113166391,
        4.749205945112748,
        4.749225777059103,
        4.7492456090054604,
        4.749265440951816,
        4.749285272898173,
        4.749305104844528,
        4.7493249367908845,
        4.74934476873724,
        4.749364600683596,
        4.749384432629952,
        4.749404264576309,
        4.749424096522665,
        4.749443928469021,
        4.749463760415377,
        4.749483592361734,
        4.74950342430809,
        4.749523256254446,
        4.749543088200802,
        4.749562920147158,
        4.749582752093514,
        4.749602584039869,
        4.749622415986226,
        4.749642247932582,
        4.749662079878939,
        4.749681911825294,
        4.74970174377165,
        4.749721575718007,
        4.749741407664363,
        4.749761239610719,
        4.749781071557075,
        4.749800903503431,
        4.749820735449787,
        4.749840567396143,
        4.7498603993424995,
        4.749880231288856,
        4.749900063235212,
        4.749919895181568,
        4.7499397271279244,
        4.749959559074281,
        4.749979391020637,
        4.749999222966993,
        4.750019054913349,
        4.750038886859704,
        4.750058718806061,
        4.750078550752416,
        4.7500983826987735,
        4.750118214645129,
        4.750138046591486,
        4.750157878537841,
        4.7501777104841985,
        4.750197542430554,
        4.750217374376911,
        4.750237206323266,
        4.750257038269623,
        4.750276870215978,
        4.750296702162335,
        4.75031653410869,
        4.7503363660550475,
        4.750356198001403,
        4.750376029947759,
        4.750395861894115,
        4.750415693840472,
        4.750435525786828,
        4.750455357733184,
        4.75047518967954,
        4.7504950216258965,
        4.750514853572252,
        4.750534685518608,
        4.750554517464964,
        4.750574349411321,
        4.750594181357677,
        4.750614013304033,
        4.750633845250389,
        4.750653677196746,
        4.750673509143102,
        4.750693341089458,
        4.750713173035813,
        4.7507330049821705,
        4.750752836928525,
        4.750772668874881,
        4.7507925008212375,
        4.750812332767594,
        4.75083216471395,
        4.750851996660306,
        4.7508718286066625,
        4.750891660553019,
        4.750911492499375,
        4.750931324445731,
        4.750951156392087,
        4.750970988338444,
        4.750990820284799,
        4.751010652231154,
        4.7510304841775115,
        4.751050316123867,
        4.751070148070224,
        4.751089980016579,
        4.7511098119629365,
        4.751129643909292,
        4.751149475855649,
        4.751169307802004,
        4.751189139748361,
        4.751208971694717,
        4.751228803641073,
        4.751248635587428,
        4.7512684675337855,
        4.751288299480141,
        4.751308131426498,
        4.751327963372853,
        4.75134779531921,
        4.751367627265566,
        4.751387459211922,
        4.751407291158278,
        4.7514271231046346,
        4.751446955050991,
        4.751466786997346,
        4.751486618943702,
        4.751506450890059,
        4.751526282836415,
        4.751546114782771,
        4.751565946729127,
        4.751585778675484,
        4.75160561062184,
        4.751625442568196,
        4.751645274514552,
        4.751665106460909,
        4.751684938407264,
        4.75170477035362,
        4.7517246022999755,
        4.751744434246333,
        4.751764266192688,
        4.751784098139045,
        4.7518039300854005,
        4.751823762031758,
        4.751843593978113,
        4.75186342592447,
        4.751883257870825,
        4.751903089817182,
        4.751922921763538,
        4.751942753709893,
        4.7519625856562495,
        4.751982417602606,
        4.752002249548962,
        4.752022081495317,
        4.7520419134416745,
        4.75206174538803,
        4.752081577334387,
        4.752101409280742,
        4.7521212412270994,
        4.752141073173455,
        4.752160905119812,
        4.752180737066167,
        4.7522005690125235,
        4.752220400958879,
        4.752240232905236,
        4.752260064851591,
        4.7522798967979485,
        4.752299728744304,
        4.75231956069066,
        4.752339392637016,
        4.752359224583373,
        4.752379056529729,
        4.752398888476085,
        4.752418720422441,
        4.752438552368797,
        4.752458384315153,
        4.752478216261509,
        4.752498048207865,
        4.752517880154222,
        4.752537712100578,
        4.752557544046934,
        4.75257737599329,
        4.752597207939647,
        4.752617039886003,
        4.752636871832359,
        4.752656703778714,
        4.752676535725071,
        4.752696367671426,
        4.752716199617783,
        4.7527360315641385,
        4.752755863510496,
        4.752775695456851,
        4.752795527403208,
        4.7528153593495635,
        4.752835191295921,
        4.752855023242276,
        4.752874855188633,
        4.752894687134988,
        4.752914519081345,
        4.7529343510277,
        4.752954182974057,
        4.7529740149204125,
        4.752993846866768,
        4.753013678813125,
        4.75303351075948,
        4.7530533427058375,
        4.753073174652193,
        4.75309300659855,
        4.753112838544905,
        4.753132670491262,
        4.753152502437617,
        4.753172334383974,
        4.753192166330329,
        4.7532119982766865,
        4.753231830223042,
        4.753251662169399,
        4.753271494115754,
        4.7532913260621115,
        4.753311158008467,
        4.753330989954823,
        4.753350821901179,
        4.7533706538475355,
        4.753390485793891,
        4.753410317740247,
        4.753430149686603,
        4.75344998163296,
        4.753469813579316,
        4.753489645525672,
        4.753509477472028,
        4.753529309418385,
        4.753549141364741,
        4.753568973311097,
        4.753588805257453,
        4.7536086372038096,
        4.753628469150165,
        4.753648301096521,
        4.7536681330428765,
        4.753687964989234,
        4.753707796935589,
        4.753727628881946,
        4.7537474608283015,
        4.753767292774659,
        4.753787124721014,
        4.753806956667371,
        4.753826788613726,
        4.753846620560084,
        4.753866452506438,
        4.753886284452795,
        4.7539061163991505,
        4.753925948345508,
        4.753945780291863,
        4.753965612238219,
        4.7539854441845755,
        4.754005276130932,
        4.754025108077288,
        4.754243259487205,
        4.754263091433562,
        4.754282923379917,
        4.7543027553262736,
        4.75432258727263,
        4.754342419218985,
        4.754362251165341,
        4.754382083111698,
        4.754401915058054,
        4.75442174700441,
        4.754441578950766,
        4.754461410897123,
        4.754481242843479,
        4.754501074789835,
        4.754520906736191,
        4.754540738682548,
        4.754560570628904,
        4.754580402575259,
        4.754600234521615,
        4.754620066467972,
        4.754639898414327,
        4.754659730360684,
        4.7546795623070395,
        4.754699394253397,
        4.754719226199752,
        4.754739058146109,
        4.754758890092464,
        4.754778722038822,
        4.754798553985177,
        4.754818385931533,
        4.7548382178778885,
        4.754858049824246,
        4.754877881770601,
        4.754897713716958,
        4.7549175456633135,
        4.754937377609671,
        4.754957209556026,
        4.754977041502382,
        4.7549968734487384,
        4.755016705395095,
        4.755036537341451,
        4.755056369287806,
        4.7550762012341625,
        4.755096033180519,
        4.755115865126875,
        4.755135697073231,
        4.7551555290195875,
        4.755175360965944,
        4.7551951929123,
        4.755215024858656,
        4.7552348568050125,
        4.755254688751369,
        4.755274520697724,
        4.755294352644079,
        4.755314184590436,
        4.755334016536792,
        4.755353848483148,
        4.755373680429504,
        4.755393512375861,
        4.755413344322217,
        4.755433176268573,
        4.755453008214929,
        4.755472840161286,
        4.755492672107642,
        4.755512504053998,
        4.755532336000353,
        4.75555216794671,
        4.755571999893066,
        4.755591831839422,
        4.7556116637857775,
        4.755631495732135,
        4.75565132767849,
        4.755671159624847,
        4.7556909915712025,
        4.75571082351756,
        4.755730655463915,
        4.755750487410272,
        4.7557703193566265,
        4.755790151302984,
        4.755809983249339,
        4.755829815195696,
        4.7558496471420515,
        4.755869479088409,
        4.755889311034764,
        4.755909142981121,
        4.7559289749274765,
        4.755948806873833,
        4.755968638820189,
        4.755988470766545,
        4.7560083027129005,
        4.756028134659257,
        4.756047966605613,
        4.756067798551969,
        4.7560876304983255,
        4.756107462444682,
        4.756127294391038,
        4.756147126337394,
        4.7561669582837505,
        4.756186790230107,
        4.756206622176463,
        4.756226454122819,
        4.7562462860691745,
        4.756266118015531,
        4.756285949961886,
        4.756305781908243,
        4.756325613854599,
        4.756345445800956,
        4.756365277747311,
        4.756385109693668,
        4.756404941640024,
        4.756424773586381,
        4.756444605532736,
        4.756464437479092,
        4.756484269425448,
        4.756504101371804,
        4.75652393331816,
        4.756543765264516,
        4.756563597210873,
        4.756583429157229,
        4.756603261103585,
        4.7566230930499405,
        4.756642924996298,
        4.756662756942653,
        4.75668258888901,
        4.756702420835365,
        4.756722252781722,
        4.756742084728077,
        4.756761916674434,
        4.7567817486207895,
        4.756801580567147,
        4.756821412513502,
        4.756841244459859,
        4.7568610764062145,
        4.756880908352572,
        4.756900740298927,
        4.756920572245283,
        4.756940404191639,
        4.756960236137995,
        4.756980068084351,
        4.756999900030707,
        4.7570197319770635,
        4.75703956392342,
        4.757059395869776,
        4.757079227816132,
        4.7570990597624885,
        4.757118891708845,
        4.757138723655201,
        4.757158555601557,
        4.7571783875479134,
        4.757198219494269,
        4.757218051440625,
        4.757237883386981,
        4.757257715333337,
        4.757277547279694,
        4.757297379226049,
        4.757317211172406,
        4.757337043118762,
        4.757356875065119,
        4.757376707011474,
        4.757396538957831,
        4.757416370904187,
        4.757436202850543,
        4.757456034796898,
        4.757475866743255,
        4.757495698689611,
        4.757515530635968,
        4.757535362582323,
        4.75755519452868,
        4.757575026475036,
        4.757594858421391,
        4.757614690367748,
        4.757634522314103,
        4.757654354260461,
        4.757674186206815,
        4.757694018153172,
        4.7577138500995275,
        4.757733682045885,
        4.75775351399224,
        4.757773345938597,
        4.7577931778849525,
        4.75781300983131,
        4.757832841777665,
        4.757852673724022,
        4.7578725056703774,
        4.757892337616735,
        4.757912169563089,
        4.757932001509445,
        4.7579518334558015,
        4.757971665402158,
        4.757991497348514,
        4.75801132929487,
        4.7580311612412265,
        4.758050993187583,
        4.758070825133939,
        4.758090657080295,
        4.7581104890266515,
        4.758130320973008,
        4.758150152919363,
        4.758169984865719,
        4.7581898168120755,
        4.758209648758432,
        4.758229480704787,
        4.758249312651144,
        4.7582691445975,
        4.758288976543857,
        4.758308808490212,
        4.758328640436569,
        4.758348472382925,
        4.758368304329282,
        4.758388136275636,
        4.758407968221993,
        4.758427800168349,
        4.758447632114706,
        4.758467464061061,
        4.758487296007418,
        4.758507127953774,
        4.758526959900131,
        4.758546791846486,
        4.758566623792842,
        4.758586455739199,
        4.758606287685555,
        4.75862611963191,
        4.758645951578266,
        4.758665783524623,
        4.758685615470978,
        4.758705447417335,
        4.7587252793636905,
        4.758745111310048,
        4.758764943256403,
        4.75878477520276,
        4.7588046071491155,
        4.758824439095473,
        4.758844271041828,
        4.758864102988184,
        4.7588839349345395,
        4.758903766880896,
        4.758923598827252,
        4.758943430773608,
        4.7589632627199645,
        4.758983094666321,
        4.759002926612677,
        4.759022758559033,
        4.7590425905053895,
        4.759062422451746,
        4.759082254398102,
        4.759102086344457,
        4.7591219182908135,
        4.75914175023717,
        4.759161582183526,
        4.759181414129882,
        4.7592012460762385,
        4.759221078022595,
        4.75924090996895,
        4.759260741915307,
        4.759280573861663,
        4.75930040580802,
        4.759320237754375,
        4.759340069700731,
        4.759359901647087,
        4.759379733593444,
        4.759399565539799,
        4.759419397486156,
        4.759439229432512,
        4.759459061378869,
        4.759478893325224,
        4.759498725271581,
        4.759518557217937,
        4.759538389164294,
        4.759558221110649,
        4.759578053057004,
        4.759597885003361,
        4.759617716949717,
        4.759637548896073,
        4.759657380842429,
        4.759677212788786,
        4.759697044735142,
        4.759716876681498,
        4.759736708627854,
        4.759756540574211,
        4.759776372520567,
        4.759796204466923,
        4.759816036413278,
        4.759835868359635,
        4.75985570030599,
        4.759875532252346,
        4.7598953641987025,
        4.759915196145059,
        4.759935028091415,
        4.759954860037771,
        4.7599746919841275,
        4.759994523930484,
        4.76001435587684,
        4.760034187823196,
        4.760054019769552,
        4.760073851715908,
        4.760093683662264,
        4.76011351560862,
        4.7601333475549765,
        4.760153179501333,
        4.760173011447689,
        4.760192843394045,
        4.760212675340401,
        4.760232507286758,
        4.760252339233113,
        4.76027217117947,
        4.760292003125825,
        4.760311835072182,
        4.760331667018537,
        4.760351498964894,
        4.76037133091125,
        4.760391162857607,
        4.760410994803962,
        4.760430826750319,
        4.760450658696675,
        4.760470490643032,
        4.760609314267524,
        4.76062914621388,
        4.760648978160236,
        4.760668810106592,
        4.760688642052949,
        4.760708473999305,
        4.760728305945661,
        4.760748137892017,
        4.760767969838373,
        4.760787801784729,
        4.760807633731085,
        4.760827465677441,
        4.760847297623798,
        4.760867129570154,
        4.760886961516509,
        4.760906793462866,
        4.760926625409222,
        4.760946457355579,
        4.760966289301934,
        4.7609861212482905,
        4.761005953194646,
        4.761025785141002,
        4.761045617087358,
        4.7610654490337145,
        4.761085280980071,
        4.761105112926427,
        4.761124944872783,
        4.7611447768191395,
        4.761164608765496,
        4.761184440711852,
        4.761204272658208,
        4.761224104604564,
        4.76124393655092,
        4.761263768497275,
        4.761283600443632,
        4.761303432389988,
        4.761323264336345,
        4.7613430962827,
        4.761362928229057,
        4.761382760175413,
        4.76140259212177,
        4.761422424068125,
        4.761442256014482,
        4.761462087960838,
        4.761481919907194,
        4.761501751853549,
        4.761521583799905,
        4.761541415746262,
        4.761561247692618,
        4.761581079638974,
        4.76160091158533,
        4.761620743531687,
        4.761640575478043,
        4.761660407424399,
        4.761680239370755,
        4.761700071317112,
        4.761719903263467,
        4.761739735209823,
        4.761759567156179,
        4.761779399102536,
        4.761799231048892,
        4.761819062995248,
        4.761838894941604,
        4.76185872688796,
        4.761878558834317,
        4.761898390780672,
        4.761918222727029,
        4.761938054673385,
        4.761957886619741,
        4.761977718566096,
        4.761997550512453,
        4.762017382458809,
        4.762037214405166,
        4.762057046351521,
        4.762076878297878,
        4.762096710244234,
        4.762116542190591,
        4.762136374136946,
        4.7621562060833025,
        4.762176038029659,
        4.762195869976014,
        4.76221570192237,
        4.762235533868726,
        4.762255365815083,
        4.762275197761438,
        4.762295029707795,
        4.762314861654151,
        4.762334693600508,
        4.762354525546863,
        4.76237435749322,
        4.762394189439576,
        4.762414021385933,
        4.762433853332288,
        4.762453685278644,
        4.762473517225,
        4.762493349171357,
        4.762513181117712,
        4.762533013064068,
        4.762552845010425,
        4.762572676956781,
        4.762592508903137,
        4.762612340849493,
        4.76263217279585,
        4.762652004742206,
        4.762671836688562,
        4.762691668634917,
        4.762711500581274,
        4.76273133252763,
        4.762751164473986,
        4.762770996420342,
        4.762790828366699,
        4.762810660313055,
        4.762830492259411,
        4.762850324205767,
        4.762870156152123,
        4.76288998809848,
        4.762909820044835,
        4.7629296519911914,
        4.762949483937547,
        4.762969315883904,
        4.762989147830259,
        4.763008979776616,
        4.763028811722972,
        4.763048643669329,
        4.763068475615684,
        4.763088307562041,
        4.763108139508397,
        4.763127971454754,
        4.763147803401109,
        4.763167635347465,
        4.763187467293821,
        4.763207299240177,
        4.763227131186533,
        4.763246963132889,
        4.763266795079246,
        4.763286627025601,
        4.763306458971958,
        4.763326290918314,
        4.763346122864671,
        4.763365954811026,
        4.763385786757383,
        4.763405618703738,
        4.763425450650095,
        4.76344528259645,
        4.763465114542807,
        4.763484946489163,
        4.763504778435519,
        4.763524610381875,
        4.76370309789908,
        4.763782425684505,
        4.763802257630862,
        4.763822089577218,
        4.763841921523573,
        4.76386175346993,
        4.763881585416285,
        4.763901417362642,
        4.763921249308997,
        4.763941081255354,
        4.76396091320171,
        4.763980745148067,
        4.764000577094422,
        4.764020409040779,
        4.764040240987135,
        4.764060072933492,
        4.764079904879847,
        4.764099736826204,
        4.764119568772559,
        4.764139400718916,
        4.764159232665271,
        4.7641790646116275,
        4.764198896557984,
        4.76421872850434,
        4.764238560450696,
        4.7642583923970525,
        4.764278224343409,
        4.764298056289765,
        4.764317888236121,
        4.7643377201824775,
        4.764357552128833,
        4.764377384075188,
        4.764397216021545,
        4.764417047967901,
        4.764436879914258,
        4.764456711860613,
        4.764476543806969,
        4.764496375753326,
        4.764516207699682,
        4.764536039646038,
        4.764555871592394,
        4.764575703538751,
        4.764595535485106,
        4.764615367431462,
        4.764635199377818,
        4.764655031324175,
        4.764674863270531,
        4.764694695216887,
        4.764714527163243,
        4.7647343591096,
        4.764754191055956,
        4.764774023002312,
        4.764793854948668,
        4.764813686895024,
        4.76483351884138,
        4.764853350787735,
        4.764873182734092,
        4.764893014680448,
        4.764912846626805,
        4.76493267857316,
        4.764952510519517,
        4.764972342465873,
        4.76499217441223,
        4.765012006358585,
        4.765031838304942,
        4.765051670251298,
        4.765071502197654,
        4.765091334144009,
        4.7651111660903664,
        4.765130998036722,
        4.765150829983078,
        4.765170661929434,
        4.7651904938757905,
        4.765210325822147,
        4.765230157768503,
        4.765249989714859,
        4.7652698216612155,
        4.765289653607572,
        4.765309485553927,
        4.765329317500283,
        4.76534914944664,
        4.765368981392996,
        4.765388813339352,
        4.765408645285708,
        4.7654284772320645,
        4.765448309178421,
        4.765468141124777,
        4.765487973071132,
        4.7655078050174895,
        4.765527636963845,
        4.7655474689102,
        4.765567300856556,
        4.765587132802913,
        4.765606964749269,
        4.765626796695625,
        4.765646628641981,
        4.765666460588338,
        4.765686292534694,
        4.76570612448105,
        4.765725956427406,
        4.765745788373763,
        4.765765620320119,
        4.765785452266474,
        4.7658052842128305,
        4.765825116159186,
        4.765844948105543,
        4.765864780051898,
        4.765884611998255,
        4.765904443944611,
        4.765924275890968,
        4.765944107837323,
        4.76596393978368,
        4.765983771730036,
        4.766003603676393,
        4.766023435622747,
        4.7660432675691045,
        4.76606309951546,
        4.766082931461817,
        4.766102763408172,
        4.7661225953545285,
        4.766142427300885,
        4.766162259247241,
        4.766182091193597,
        4.7662019231399535,
        4.76622175508631,
        4.766241587032666,
        4.766261418979021,
        4.766281250925378,
        4.766301082871734,
        4.76632091481809,
        4.766340746764446,
        4.7663605787108025,
        4.766380410657159,
        4.766400242603515,
        4.766420074549871,
        4.7664399064962275,
        4.766459738442583,
        4.76647957038894,
        4.7664994023352945,
        4.766519234281652,
        4.766539066228007,
        4.766558898174364,
        4.766578730120719,
        4.7665985620670765,
        4.766618394013432,
        4.766638225959789,
        4.766658057906144,
        4.766677889852501,
        4.766697721798857,
        4.766717553745213,
        4.7667373856915685,
        4.766757217637925,
        4.766777049584281,
        4.766796881530636,
        4.766816713476993,
        4.766836545423349,
        4.766856377369706,
        4.766876209316061,
        4.766896041262418,
        4.766915873208774,
        4.766935705155131,
        4.766955537101486,
        4.7669753690478425,
        4.766995200994198,
        4.767015032940555,
        4.76703486488691,
        4.767054696833267,
        4.767074528779623,
        4.76709436072598,
        4.767114192672335,
        4.7671340246186915,
        4.767153856565048,
        4.767173688511404,
        4.76719352045776,
        4.767213352404116,
        4.767233184350472,
        4.767253016296828,
        4.767272848243184,
        4.7672926801895406,
        4.767312512135897,
        4.767332344082253,
        4.767352176028609,
        4.7673720079749655,
        4.767590159384882,
        4.7676099913312395,
        4.767629823277595,
        4.767649655223952,
        4.767669487170307,
        4.767689319116664,
        4.767709151063019,
        4.767728983009376,
        4.767748814955731,
        4.767768646902087,
        4.767788478848444,
        4.767808310794799,
        4.767828142741156,
        4.767847974687512,
        4.767867806633869,
        4.767887638580224,
        4.767907470526581,
        4.767927302472936,
        4.767947134419293,
        4.767966966365648,
        4.7679867983120054,
        4.768006630258361,
        4.768026462204718,
        4.768046294151073,
        4.76806612609743,
        4.768085958043786,
        4.768105789990142,
        4.768125621936498,
        4.7681454538828545,
        4.76816528582921,
        4.768185117775566,
        4.768204949721922,
        4.768224781668279,
        4.768244613614635,
        4.768264445560991,
        4.768284277507347,
        4.7683041094537035,
        4.76832394140006,
        4.768343773346416,
        4.768363605292772,
        4.7683834372391285,
        4.768403269185484,
        4.76842310113184,
        4.7684429330781954,
        4.768462765024553,
        4.768482596970908,
        4.768502428917265,
        4.76852226086362,
        4.7685420928099775,
        4.768561924756333,
        4.76858175670269,
        4.768601588649045,
        4.7686214205954025,
        4.768641252541757,
        4.768661084488114,
        4.7686809164344695,
        4.768700748380827,
        4.768720580327182,
        4.768740412273539,
        4.768760244219894,
        4.768780076166251,
        4.768799908112607,
        4.768819740058963,
        4.768839572005319,
        4.768859403951676,
        4.768879235898031,
        4.768899067844387,
        4.7689188997907435,
        4.768938731737099,
        4.768958563683456,
        4.768978395629811,
        4.768998227576168,
        4.769018059522524,
        4.769037891468881,
        4.769057723415236,
        4.7690775553615925,
        4.769097387307949,
        4.769117219254304,
        4.76913705120066,
        4.769156883147017,
        4.769176715093373,
        4.769196547039729,
        4.769216378986085,
        4.7692362109324415,
        4.769256042878798,
        4.769275874825154,
        4.76929570677151,
        4.7693155387178665,
        4.769335370664223,
        4.769355202610578,
        4.769375034556934,
        4.769394866503291,
        4.769414698449646,
        4.769434530396003,
        4.769454362342358,
        4.7694741942887156,
        4.769494026235071,
        4.769513858181428,
        4.769533690127783,
        4.7695535220741405,
        4.769573354020496,
        4.769593185966852,
        4.7696130179132075,
        4.769632849859565,
        4.76965268180592,
        4.769672513752277,
        4.769692345698632,
        4.76971217764499,
        4.769732009591345,
        4.769751841537701,
        4.769771673484057,
        4.769791505430414,
        4.76981133737677,
        4.769831169323125,
        4.7698510012694815,
        4.769870833215838,
        4.769890665162194,
        4.76991049710855,
        4.769930329054906,
        4.769950161001263,
        4.769969992947619,
        4.769989824893975,
        4.770009656840331,
        4.770029488786688,
        4.770049320733044,
        4.770069152679398,
        4.770088984625755,
        4.770108816572111,
        4.770128648518467,
        4.770148480464823,
        4.77016831241118,
        4.770188144357536,
        4.770207976303892,
        4.770227808250248,
        4.7702476401966045,
        4.770267472142961,
        4.770287304089317,
        4.770307136035672,
        4.770326967982029,
        4.770346799928385,
        4.770366631874741,
        4.770386463821096,
        4.770406295767454,
        4.770426127713809,
        4.770445959660166,
        4.770465791606521,
        4.7704856235528785,
        4.770505455499234,
        4.770525287445591,
        4.7705451193919455,
        4.770564951338303,
        4.770584783284658,
        4.770604615231015,
        4.77062444717737,
        4.770644279123728,
        4.770664111070083,
        4.77068394301644,
        4.770703774962795,
        4.770723606909152,
        4.770743438855508,
        4.770763270801864,
        4.7707831027482195,
        4.770802934694576,
        4.770822766640932,
        4.770842598587288,
        4.7708624305336444,
        4.770882262480001,
        4.770902094426357,
        4.770921926372713,
        4.770941758319069,
        4.770961590265426,
        4.770981422211782,
        4.771001254158138,
        4.7710210861044935,
        4.77104091805085,
        4.771060749997205,
        4.771080581943562,
        4.771100413889918,
        4.771120245836275,
        4.77114007778263,
        4.771159909728987,
        4.7711797416753425,
        4.7711995736217,
        4.771219405568055,
        4.771239237514411,
        4.771259069460767,
        4.771278901407123,
        4.771298733353479,
        4.771318565299835,
        4.771338397246192,
        4.771358229192548,
        4.771378061138904,
        4.771397893085259,
        4.7714177250316165,
        4.771437556977972,
        4.771457388924329,
        4.771477220870684,
        4.771497052817041,
        4.771516884763396,
        4.771536716709753,
        4.7715565486561085,
        4.771576380602466,
        4.771596212548821,
        4.771616044495178,
        4.771635876441533,
        4.7716557083878905,
        4.771675540334246,
        4.771695372280603,
        4.771715204226958,
        4.771735036173314,
        4.77175486811967,
        4.771774700066026,
        4.7717945320123825,
        4.771814363958739,
        4.771834195905095,
        4.771854027851451,
        4.771873859797807,
        4.771893691744164,
        4.77191352369052,
        4.771933355636876,
        4.771953187583232,
        4.771973019529589,
        4.771992851475944,
        4.7720126834223,
        4.7720325153686565,
        4.772052347315013,
        4.772072179261368,
        4.772092011207725,
        4.7721118431540805,
        4.772131675100438,
        4.772151507046793,
        4.77217133899315,
        4.7721911709395055,
        4.772211002885863,
        4.772230834832217,
        4.772250666778574,
        4.77227049872493,
        4.772290330671287,
        4.772310162617642,
        4.772329994563999,
        4.7723498265103546,
        4.77236965845671,
        4.772389490403067,
        4.772409322349422,
        4.7724291542957795,
        4.772448986242135,
        4.772468818188491,
        4.7724886501348465,
        4.772508482081204,
        4.772528314027559,
        4.772548145973916,
        4.772567977920271,
        4.772587809866629,
        4.772607641812984,
        4.772627473759341,
        4.772647305705696,
        4.7726671376520535,
        4.772686969598409,
        4.772706801544764,
        4.7727266334911205,
        4.772746465437477,
        4.772766297383833,
        4.772786129330189,
        4.772805961276545,
        4.772825793222902,
        4.772845625169258,
        4.772865457115614,
        4.77288528906197,
        4.772905121008327,
        4.772924952954683,
        4.772944784901038,
        4.7729646168473945,
        4.772984448793751,
        4.773004280740107,
        4.773024112686463,
        4.773043944632819,
        4.773063776579176,
        4.773083608525531,
        4.77330175993545,
        4.773321591881805,
        4.773341423828162,
        4.7733612557745175,
        4.773381087720874,
        4.77340091966723,
        4.773420751613585,
        4.773440583559942,
        4.773460415506297,
        4.773480247452654,
        4.773500079399009,
        4.773519911345367,
        4.773539743291722,
        4.773559575238079,
        4.773579407184434,
        4.7735992391307915,
        4.773619071077147,
        4.773638903023504,
        4.7736587349698585,
        4.773678566916215,
        4.773698398862571,
        4.773718230808927,
        4.7737380627552835,
        4.77375789470164,
        4.773777726647996,
        4.773797558594352,
        4.773817390540708,
        4.773837222487065,
        4.773857054433421,
        4.773876886379777,
        4.7738967183261325,
        4.773916550272489,
        4.773936382218845,
        4.773956214165201,
        4.7739760461115575,
        4.773995878057914,
        4.774015710004269,
        4.774035541950626,
        4.7740553738969815,
        4.774075205843339,
        4.774095037789694,
        4.774114869736051,
        4.774134701682406,
        4.774154533628763,
        4.774174365575118,
        4.774194197521475,
        4.774214029467831,
        4.774233861414188,
        4.774253693360543,
        4.7742735253069,
        4.7742933572532555,
        4.774313189199613,
        4.774333021145968,
        4.774352853092324,
        4.77437268503868,
        4.774392516985036,
        4.774412348931392,
        4.774432180877748,
        4.774452012824105,
        4.774471844770461,
        4.774491676716817,
        4.774511508663173,
        4.7745313406095296,
        4.774551172555886,
        4.774571004502242,
        4.774590836448598,
        4.774610668394954,
        4.774630500341309,
        4.774650332287666,
        4.7746701642340215,
        4.774689996180378,
        4.774709828126734,
        4.77472966007309,
        4.774749492019446,
        4.774769323965803,
        4.774789155912159,
        4.774808987858515,
        4.774828819804871,
        4.774848651751227,
        4.774868483697583,
        4.774888315643939,
        4.7749081475902955,
        4.774927979536652,
        4.774947811483008,
        4.774967643429364,
        4.77498747537572,
        4.775007307322077,
        4.775027139268432,
        4.775046971214789,
        4.7750668031611445,
        4.775086635107501,
        4.775106467053856,
        4.775126299000213,
        4.775146130946569,
        4.775165962892926,
        4.775185794839281,
        4.775205626785638,
        4.7752254587319936,
        4.775245290678351,
        4.775265122624706,
        4.775284954571063,
        4.7753047865174185,
        4.775324618463774,
        4.77534445041013,
        4.775364282356486,
        4.775384114302843,
        4.775403946249199,
        4.775423778195555,
        4.775443610141911,
        4.775463442088268,
        4.775483274034624,
        4.77550310598098,
        4.775522937927336,
        4.7755427698736925,
        4.775562601820048,
        4.775582433766404,
        4.77560226571276,
        4.775622097659117,
        4.775641929605473,
        4.775661761551828,
        4.775681593498185,
        4.775701425444541,
        4.775721257390898,
        4.775741089337253,
        4.775760921283609,
        4.775780753229966,
        4.775800585176321,
        4.775820417122677,
        4.7758402490690335,
        4.77586008101539,
        4.775879912961746,
        4.775899744908102,
        4.7759195768544584,
        4.775939408800815,
        4.775959240747171,
        4.775979072693527,
        4.7759989046398825,
        4.77601873658624,
        4.776038568532594,
        4.776058400478951,
        4.776078232425307,
        4.776098064371664,
        4.776117896318019,
        4.776137728264376,
        4.776157560210732,
        4.776177392157089,
        4.776197224103444,
        4.776217056049801,
        4.77636579564747,
        4.776712854708704,
        4.776732686655061,
        4.776752518601415,
        4.776772350547772,
        4.776792182494128,
        4.776812014440485,
        4.77683184638684,
        4.776851678333197,
        4.776871510279553,
        4.77689134222591,
        4.776911174172265,
        4.776931006118621,
        4.776950838064978,
        4.776970670011333,
        4.776990501957689,
        4.777010333904045,
        4.777030165850402,
        4.777049997796757,
        4.777069829743114,
        4.77708966168947,
        4.777109493635827,
        4.777129325582182,
        4.777149157528539,
        4.7771689894748945,
        4.777188821421252,
        4.777208653367607,
        4.777228485313963,
        4.777248317260319,
        4.777268149206676,
        4.777287981153031,
        4.777307813099387,
        4.777327645045744,
        4.7773474769921,
        4.777367308938456,
        4.777387140884812,
        4.7774069728311686,
        4.777426804777525,
        4.777446636723881,
        4.777466468670236,
        4.777486300616593,
        4.777506132562949,
        4.777525964509305,
        4.777545796455661,
        4.777565628402018,
        4.777585460348374,
        4.77760529229473,
        4.777625124241086,
        4.777644956187442,
        4.777664788133799,
        4.777684620080154,
        4.77770445202651,
        4.777724283972866,
        4.777744115919223,
        4.777763947865578,
        4.777783779811935,
        4.777803611758291,
        4.777823443704648,
        4.777843275651003,
        4.77786310759736,
        4.777882939543716,
        4.777902771490073,
        4.777922603436428,
        4.777942435382784,
        4.77796226732914,
        4.777982099275496,
        4.778001931221852,
        4.778021763168208,
        4.778041595114565,
        4.77806142706092,
        4.778081259007277,
        4.778101090953633,
        4.77812092289999,
        4.778140754846345,
        4.778160586792702,
        4.778180418739057,
        4.778200250685414,
        4.778220082631769,
        4.778239914578126,
        4.778259746524482,
        4.778279578470839,
        4.778299410417194,
        4.77831924236355,
        4.778339074309907,
        4.778358906256263,
        4.778378738202619,
        4.778398570148975,
        4.778418402095331,
        4.778438234041687,
        4.778458065988043,
        4.778477897934399,
        4.778497729880756,
        4.778517561827112,
        4.778537393773468,
        4.778557225719824,
        4.778577057666181,
        4.778596889612537,
        4.778616721558892,
        4.778636553505249,
        4.778656385451604,
        4.778676217397961,
        4.778696049344316,
        4.778715881290673,
        4.778735713237029,
        4.778755545183386,
        4.778775377129741,
        4.778795209076098,
        4.778815041022454,
        4.778834872968811,
        4.778854704915166,
        4.778874536861523,
        4.778894368807878,
        4.778914200754235,
        4.77893403270059,
        4.7789538646469465,
        4.778973696593303,
        4.778993528539659,
        4.779013360486015,
        4.7790331924323715,
        4.779053024378728,
        4.779072856325084,
        4.77909268827144,
        4.779112520217796,
        4.779132352164152,
        4.779152184110507,
        4.779172016056864,
        4.77919184800322,
        4.779211679949577,
        4.779231511895932,
        4.779251343842289,
        4.779271175788645,
        4.779291007735001,
        4.779310839681357,
        4.779330671627713,
        4.7793505035740695,
        4.779370335520425,
        4.779390167466781,
        4.779409999413137,
        4.779429831359494,
        4.77944966330585,
        4.779469495252206,
        4.779489327198562,
        4.779509159144919,
        4.779528991091275,
        4.779548823037631,
        4.779568654983987,
        4.779588486930343,
        4.779608318876699,
        4.779628150823054,
        4.779647982769411,
        4.779667814715767,
        4.779687646662124,
        4.779707478608479,
        4.779727310554836,
        4.779747142501192,
        4.779766974447549,
        4.779786806393904,
        4.779806638340261,
        4.779826470286617,
        4.779846302232973,
        4.779866134179328,
        4.779885966125685,
        4.779905798072041,
        4.779925630018397,
        4.779945461964753,
        4.7799652939111095,
        4.779985125857466,
        4.780004957803822,
        4.780024789750178,
        4.780044621696534,
        4.780064453642891,
        4.780084285589246,
        4.780104117535602,
        4.7801239494819585,
        4.780143781428315,
        4.780163613374671,
        4.780183445321027,
        4.7802032772673835,
        4.78022310921374,
        4.780242941160096,
        4.780262773106451,
        4.780282605052808,
        4.780302436999164,
        4.780322268945519,
        4.780342100891875,
        4.780361932838232,
        4.780381764784588,
        4.780401596730944,
        4.7804214286773,
        4.780441260623657,
        4.780461092570013,
        4.780480924516369,
        4.780500756462725,
        4.780520588409082,
        4.780540420355438,
        4.780560252301793,
        4.780580084248149,
        4.780599916194505,
        4.780619748140862,
        4.780639580087217,
        4.780659412033574,
        4.78067924397993,
        4.780699075926287,
        4.780718907872642,
        4.780738739818999,
        4.780758571765355,
        4.780778403711712,
        4.780798235658066,
        4.780818067604423,
        4.780837899550779,
        4.780857731497136,
        4.780877563443491,
        4.780897395389848,
        4.780917227336204,
        4.78093705928256,
        4.780956891228916,
        4.7809767231752724,
        4.780996555121629,
        4.781016387067985,
        4.78103621901434,
        4.7810560509606965,
        4.781075882907053,
        4.781095714853409,
        4.781115546799765,
        4.7811353787461215,
        4.781155210692478,
        4.781175042638834,
        4.78119487458519,
        4.7812147065315465,
        4.781234538477903,
        4.781254370424259,
        4.781274202370613,
        4.7812940343169705,
        4.781313866263326,
        4.781333698209683,
        4.781353530156038,
        4.7813733621023955,
        4.781393194048751,
        4.781413025995108,
        4.781432857941463,
        4.78145268988782,
        4.781472521834176,
        4.781492353780532,
        4.781512185726887,
        4.781532017673244,
        4.7815518496196,
        4.781571681565955,
        4.781591513512312,
        4.781611345458668,
        4.781631177405025,
        4.78165100935138,
        4.781670841297737,
        4.781690673244093,
        4.78171050519045,
        4.781730337136805,
        4.781750169083162,
        4.781770001029517,
        4.781789832975874,
        4.781809664922229,
        4.781829496868586,
        4.781849328814942,
        4.781869160761299,
        4.781888992707654,
        4.7819088246540105,
        4.781928656600367,
        4.781948488546723,
        4.781968320493079,
        4.781988152439435,
        4.782007984385791,
        4.782027816332147,
        4.782047648278503,
        4.7820674802248595,
        4.782087312171216,
        4.782107144117572,
        4.782126976063928,
        4.7821468080102845,
        4.782166639956641,
        4.782186471902997,
        4.782206303849353,
        4.782226135795709,
        4.782245967742064,
        4.782265799688421,
        4.782285631634776,
        4.7823054635811335,
        4.782325295527489,
        4.782345127473846,
        4.782364959420201,
        4.7823847913665585,
        4.782404623312914,
        4.782424455259271,
        4.782444287205626,
        4.782464119151983,
        4.782483951098338,
        4.782503783044695,
        4.78252361499105,
        4.782543446937406,
        4.782563278883763,
        4.782583110830118,
        4.782602942776475,
        4.782622774722831,
        4.782642606669188,
        4.782662438615543,
        4.782721934454612,
        4.782741766400967,
        4.782761598347324,
        4.78278143029368,
        4.782801262240037,
        4.782821094186392,
        4.782840926132749,
        4.783019413649954,
        4.78303924559631,
        4.783059077542666,
        4.7830789094890225,
        4.783098741435379,
        4.783118573381735,
        4.783138405328091,
        4.783158237274447,
        4.783178069220804,
        4.783197901167159,
        4.783217733113514,
        4.7832375650598715,
        4.783257397006227,
        4.783277228952584,
        4.783297060898939,
        4.7833168928452965,
        4.783336724791652,
        4.783356556738009,
        4.783376388684364,
        4.7833962206307215,
        4.783416052577077,
        4.783435884523433,
        4.783455716469788,
        4.7834755484161455,
        4.783495380362501,
        4.783515212308858,
        4.783535044255213,
        4.78355487620157,
        4.783574708147926,
        4.783594540094282,
        4.783614372040638,
        4.783634203986995,
        4.783654035933351,
        4.783673867879706,
        4.78396143110187,
        4.7844869776803085,
        4.784506809626664,
        4.78452664157302,
        4.784546473519376,
        4.784566305465733,
        4.784586137412089,
        4.784605969358445,
        4.7846258013048,
        4.784645633251157,
        4.784665465197513,
        4.784685297143869,
        4.784705129090225,
        4.784724961036582,
        4.784744792982938,
        4.784764624929294,
        4.78478445687565,
        4.784962944392855,
        4.784982776339211,
        4.785002608285567,
        4.7850224402319235,
        4.78504227217828,
        4.785062104124636,
        4.785081936070992,
        4.78514143191006,
        4.785161263856416,
        4.7851810958027725,
        4.785200927749128,
        4.785220759695485,
        4.78524059164184,
        4.7852604235881975,
        4.785280255534553,
        4.78530008748091,
        4.785319919427265,
        4.7853397513736216,
        4.785359583319977,
        4.785379415266334,
        4.785399247212689,
        4.7854190791590465,
        4.785438911105402,
        4.785458743051759,
        4.785478574998114,
        4.785498406944471,
        4.785518238890827,
        4.785538070837183,
        4.785557902783539,
        4.785577734729895,
        4.785597566676251,
        4.785617398622607,
        4.785637230568963,
        4.78565706251532,
        4.785676894461676,
        4.785696726408032,
        4.785716558354388,
        4.785736390300745,
        4.785756222247101,
        4.785776054193457,
        4.785795886139813,
        4.785815718086169,
        4.785835550032524,
        4.785855381978881,
        4.7858752139252365,
        4.785895045871594,
        4.785914877817949,
        4.785934709764306,
        4.7859545417106615,
        4.785974373657019,
        4.785994205603374,
        4.78601403754973,
        4.7860338694960864,
        4.786053701442442,
        4.786073533388798,
        4.786093365335154,
        4.7861131972815105,
        4.786133029227867,
        4.786152861174223,
        4.786172693120578,
        4.7861925250669355,
        4.786212357013291,
        4.786232188959648,
        4.786252020906003,
        4.7862718528523605,
        4.786291684798715,
        4.786311516745072,
        4.786331348691427,
        4.7863511806377845,
        4.78637101258414,
        4.786390844530497,
        4.786410676476852,
        4.7864305084232095,
        4.786450340369565,
        4.786470172315922,
        4.786490004262277,
        4.786509836208634,
        4.786529668154989,
        4.786549500101345,
        4.786569332047701,
        4.786589163994058,
        4.786608995940414,
        4.78662882788677,
        4.786648659833126,
        4.786668491779483,
        4.786688323725839,
        4.786708155672195,
        4.786727987618551,
        4.786747819564908,
        4.786767651511263,
        4.786787483457619,
        4.786807315403975,
        4.786827147350332,
        4.786846979296687,
        4.786866811243044,
        4.7868866431893995,
        4.786906475135757,
        4.786926307082112,
        4.786946139028469,
        4.7869659709748245,
        4.786985802921182,
        4.787005634867536,
        4.787025466813893,
        4.7870452987602485,
        4.787065130706606,
        4.787084962652961,
        4.787104794599318,
        4.7871246265456735,
        4.78714445849203,
        4.787164290438386,
        4.787184122384741,
        4.7872039543310985,
        4.787223786277454,
        4.78724361822381,
        4.787263450170165,
        4.7872832821165225,
        4.787303114062878,
        4.787322946009235,
        4.78734277795559,
        4.7873626099019475,
        4.787382441848303,
        4.78740227379466,
        4.787422105741015,
        4.7874419376873725,
        4.787461769633728,
        4.787560929365508,
        4.787580761311864,
        4.787600593258221,
        4.787620425204577,
        4.787640257150933,
        4.787660089097289,
        4.787679921043646,
        4.787699752990002,
        4.787719584936357,
        4.787739416882713,
        4.78775924882907,
        4.787779080775426,
        4.787798912721782,
        4.7878187446681375,
        4.787838576614495,
        4.78785840856085,
        4.787878240507207,
        4.7878980724535625,
        4.78791790439992,
        4.787937736346275,
        4.787957568292631,
        4.7879774002389865,
        4.787997232185344,
        4.788017064131699,
        4.788036896078056,
        4.7880567280244115,
        4.788076559970769,
        4.788096391917124,
        4.788116223863481,
        4.7881360558098365,
        4.788155887756193,
        4.788175719702549,
        4.788195551648904,
        4.7882153835952606,
        4.788235215541616,
        4.788255047487973,
        4.788274879434328,
        4.7882947113806855,
        4.788314543327041,
        4.788334375273398,
        4.788354207219753,
        4.7883740391661105,
        4.788393871112466,
        4.788413703058823,
        4.788433535005177,
        4.788453366951535,
        4.78847319889789,
        4.788493030844246,
        4.788512862790602,
        4.788532694736959,
        4.788552526683315,
        4.788572358629671,
        4.788592190576027,
        4.788612022522384,
        4.78863185446874,
        4.788651686415096,
        4.788671518361451,
        4.788691350307808,
        4.788711182254164,
        4.78873101420052,
        4.788750846146876,
        4.788770678093233,
        4.788790510039588,
        4.788810341985945,
        4.7888301739323005,
        4.788850005878658,
        4.788869837825013,
        4.78888966977137,
        4.788909501717725,
        4.788929333664082,
        4.788949165610437,
        4.788968997556794,
        4.7889888295031495,
        4.789008661449507,
        4.789028493395862,
        4.789048325342219,
        4.7890681572885745,
        4.789087989234932,
        4.789107821181287,
        4.789127653127643,
        4.789147485073999,
        4.789167317020355,
        4.789187148966711,
        4.789206980913067,
        4.7892268128594235,
        4.78924664480578,
        4.789266476752136,
        4.789286308698492,
        4.7893061406448485,
        4.789325972591205,
        4.789345804537561,
        4.789365636483917,
        4.789385468430273,
        4.789405300376628,
        4.789425132322985,
        4.78944496426934,
        4.789464796215697,
        4.789484628162053,
        4.789504460108409,
        4.789524292054765,
        4.789544124001122,
        4.789563955947478,
        4.789583787893834,
        4.78960361984019,
        4.789623451786546,
        4.789643283732902,
        4.789663115679258,
        4.789682947625614,
        4.789702779571971,
        4.789722611518327,
        4.789742443464683,
        4.789762275411039,
        4.789782107357396,
        4.789801939303751,
        4.789821771250108,
        4.7898416031964635,
        4.78986143514282,
        4.789881267089175,
        4.789901099035532,
        4.7899209309818875,
        4.789940762928245,
        4.7899605948746,
        4.789980426820957,
        4.7900002587673125,
        4.79002009071367,
        4.790039922660025,
        4.790059754606382,
        4.7900795865527375,
        4.790099418499094,
        4.790148998364983,
        4.79047622547986,
        4.790496057426217,
        4.790515889372572,
        4.790535721318928,
        4.790555553265285,
        4.79057538521164,
        4.790595217157996,
        4.790615049104352,
        4.790634881050709,
        4.790654712997065,
        4.790674544943421,
        4.790694376889777,
        4.790714208836134,
        4.79073404078249,
        4.790753872728846,
        4.7907737046752015,
        4.790793536621559,
        4.790813368567913,
        4.79083320051427,
        4.7908530324606255,
        4.790872864406983,
        4.790892696353338,
        4.790912528299695,
        4.7909323602460505,
        4.790952192192408,
        4.790972024138763,
        4.79099185608512,
        4.7910116880314755,
        4.791031519977833,
        4.791150511655968,
        4.7911703436023245,
        4.791190175548681,
        4.791210007495037,
        4.791229839441393,
        4.7912496713877495,
        4.791269503334106,
        4.791289335280461,
        4.791309167226817,
        4.791328999173174,
        4.79134883111953,
        4.791368663065886,
        4.791388495012242,
        4.7914083269585985,
        4.791428158904955,
        4.79144799085131,
        4.791467822797667,
        4.791487654744023,
        4.79150748669038,
        4.791527318636734,
        4.791547150583091,
        4.791566982529447,
        4.791586814475804,
        4.791606646422159,
        4.791626478368516,
        4.791646310314872,
        4.791666142261229,
        4.791685974207584,
        4.79170580615394,
        4.791725638100297,
        4.791745470046652,
        4.791765301993009,
        4.791785133939364,
        4.791804965885721,
        4.791824797832076,
        4.791844629778433,
        4.7918644617247885,
        4.791884293671146,
        4.791904125617501,
        4.791923957563858,
        4.7919437895102135,
        4.791963621456571,
        4.791983453402926,
        4.792003285349283,
        4.792023117295638,
        4.792042949241995,
        4.79206278118835,
        4.792082613134706,
        4.7921024450810625,
        4.792122277027419,
        4.792142108973775,
        4.792161940920131,
        4.7921817728664875,
        4.792201604812844,
        4.7922214367592,
        4.792241268705556,
        4.792261100651912,
        4.792280932598268,
        4.792300764544624,
        4.79232059649098,
        4.7923404284373365,
        4.792360260383693,
        4.792380092330049,
        4.792399924276405,
        4.792419756222761,
        4.792439588169118,
        4.792459420115473,
        4.79247925206183,
        4.792499084008185,
        4.792518915954542,
        4.792538747900897,
        4.792558579847254,
        4.79257841179361,
        4.792598243739967,
        4.792618075686322,
        4.792637907632679,
        4.792657739579035,
        4.792677571525392,
        4.792697403471747,
        4.792816395149884,
        4.792836227096239,
        4.792856059042596,
        4.7928758909889515,
        4.792895722935309,
        4.792915554881664,
        4.792935386828021,
        4.7929552187743765,
        4.792975050720733,
        4.792994882667088,
        4.793014714613445,
        4.7930345465598005,
        4.793054378506158,
        4.793074210452513,
        4.793094042398869,
        4.7931138743452255,
        4.793133706291582,
        4.793153538237938,
        4.793173370184294,
        4.7931932021306505,
        4.793213034077006,
        4.793232866023362,
        4.793252697969718,
        4.7932725299160746,
        4.793292361862431,
        4.793312193808787,
        4.793332025755143,
        4.7933518577014995,
        4.793371689647856,
        4.793391521594212,
        4.793411353540568,
        4.793431185486924,
        4.79345101743328,
        4.793470849379635,
        4.793490681325992,
        4.793510513272348,
        4.793530345218705,
        4.79355017716506,
        4.793570009111417,
        4.793589841057773,
        4.79360967300413,
        4.793629504950485,
        4.793649336896842,
        4.793669168843198,
        4.793689000789554,
        4.793708832735909,
        4.793728664682265,
        4.793748496628622,
        4.793768328574978,
        4.793788160521334,
        4.79380799246769,
        4.793827824414047,
        4.793847656360403,
        4.793867488306759,
        4.793887320253115,
        4.793907152199472,
        4.793986479984896,
        4.794006311931251,
        4.794026143877608,
        4.7940459758239635,
        4.79406580777032,
        4.794085639716676,
        4.794105471663032,
        4.7941253036093885,
        4.794145135555745,
        4.7941649675021,
        4.794184799448456,
        4.794204631394813,
        4.794224463341169,
        4.794244295287525,
        4.794264127233881,
        4.7942839591802375,
        4.794303791126594,
        4.79432362307295,
        4.794343455019306,
        4.7943632869656625,
        4.794383118912019,
        4.794402950858373,
        4.79442278280473,
        4.794442614751086,
        4.794462446697443,
        4.794482278643798,
        4.794502110590155,
        4.794521942536511,
        4.794541774482868,
        4.794561606429223,
        4.79458143837558,
        4.794601270321936,
        4.794621102268293,
        4.794640934214647,
        4.794779757839141,
        4.794799589785497,
        4.794819421731853,
        4.79483925367821,
        4.794859085624566,
        4.794878917570921,
        4.7948987495172775,
        4.794918581463634,
        4.79493841340999,
        4.794958245356346,
        4.794978077302702,
        4.794997909249059,
        4.795017741195415,
        4.79503757314177,
        4.795057405088127,
        4.795077237034483,
        4.795097068980839,
        4.795116900927194,
        4.795136732873551,
        4.795156564819907,
        4.795176396766263,
        4.795196228712619,
        4.7952160606589755,
        4.795235892605332,
        4.795255724551688,
        4.795275556498044,
        4.7952953884444005,
        4.795315220390757,
        4.795335052337113,
        4.795354884283468,
        4.795374716229824,
        4.795394548176181,
        4.795414380122536,
        4.795434212068893,
        4.795454044015249,
        4.795473875961606,
        4.795493707907961,
        4.795513539854318,
        4.795533371800674,
        4.795553203747031,
        4.795573035693386,
        4.795592867639742,
        4.795612699586098,
        4.795632531532455,
        4.79565236347881,
        4.795672195425167,
        4.795692027371523,
        4.795711859317879,
        4.795731691264235,
        4.795771355156948,
        4.796128330191357,
        4.796148162137714,
        4.79616799408407,
        4.796187826030427,
        4.796207657976782,
        4.7962274899231385,
        4.796247321869495,
        4.796267153815851,
        4.796286985762207,
        4.796306817708563,
        4.796326649654919,
        4.796346481601275,
        4.796366313547631,
        4.796386145493987,
        4.796405977440344,
        4.796425809386699,
        4.796445641333056,
        4.796465473279412,
        4.796485305225769,
        4.796505137172124,
        4.796524969118481,
        4.796544801064836,
        4.796564633011193,
        4.796584464957548,
        4.796604296903905,
        4.796624128850261,
        4.796643960796618,
        4.796663792742973,
        4.79668362468933,
        4.796703456635686,
        4.796723288582042,
        4.796743120528398,
        4.796762952474754,
        4.79678278442111,
        4.796802616367466,
        4.796822448313822,
        4.7968422802601784,
        4.796862112206535,
        4.796881944152891,
        4.796901776099247,
        4.796921608045603,
        4.79694143999196,
        4.796961271938316,
        4.796981103884672,
        4.797000935831028,
        4.797020767777383,
        4.79704059972374,
        4.797060431670095,
        4.7970802636164525,
        4.797100095562808,
        4.797119927509165,
        4.79713975945552,
        4.797159591401877,
        4.797179423348233,
        4.79719925529459,
        4.797219087240945,
        4.797238919187302,
        4.797258751133657,
        4.797278583080014,
        4.797298415026369,
        4.7973182469727265,
        4.797338078919082,
        4.797357910865437,
        4.797377742811794,
        4.79739757475815,
        4.797417406704507,
        4.797437238650862,
        4.797457070597219,
        4.797476902543575,
        4.797496734489931,
        4.797516566436286,
        4.797536398382643,
        4.797556230328999,
        4.797576062275356,
        4.797595894221711,
        4.797615726168068,
        4.797635558114424,
        4.797655390060781,
        4.797675222007136,
        4.797695053953492,
        4.797714885899849,
        4.797734717846204,
        4.79775454979256,
        4.7977743817389165,
        4.797794213685273,
        4.797814045631629,
        4.797833877577985,
        4.797853709524341,
        4.797873541470698,
        4.797893373417054,
        4.79791320536341,
        4.797933037309766,
        4.797952869256123,
        4.797972701202478,
        4.797992533148833,
        4.7980123650951905,
        4.798032197041546,
        4.798052028987903,
        4.798071860934258,
        4.798091692880615,
        4.798111524826971,
        4.798131356773328,
        4.798151188719683,
        4.79817102066604,
        4.798190852612396,
        4.798210684558752,
        4.798230516505107,
        4.7982503484514645,
        4.798389172075957,
        4.7984090040223135,
        4.79842883596867,
        4.798448667915025,
        4.798468499861381,
        4.798488331807737,
        4.798508163754094,
        4.798527995700449,
        4.798547827646806,
        4.798567659593162,
        4.798587491539519,
        4.798607323485874,
        4.798627155432231,
        4.798646987378587,
        4.798666819324943,
        4.798686651271298,
        4.7987064832176545,
        4.798726315164011,
        4.798746147110367,
        4.798765979056723,
        4.798785811003079,
        4.798805642949436,
        4.798825474895792,
        4.798845306842148,
        4.798865138788504,
        4.798884970734861,
        4.798904802681217,
        4.798924634627572,
        4.7989444665739285,
        4.798964298520285,
        4.798984130466641,
        4.799003962412996,
        4.7990237943593534,
        4.799043626305709,
        4.799063458252066,
        4.799083290198421,
        4.799103122144778,
        4.799122954091134,
        4.799142786037491,
        4.799162617983845,
        4.7991824499302025,
        4.799202281876558,
        4.799222113822915,
        4.79924194576927,
        4.7992617777156275,
        4.799281609661983,
        4.79930144160834,
        4.799321273554695,
        4.7993411055010515,
        4.799360937447408,
        4.799380769393764,
        4.799400601340119,
        4.799420433286476,
        4.799440265232832,
        4.799460097179188,
        4.799479929125544,
        4.799499761071901,
        4.799519593018257,
        4.799539424964613,
        4.799559256910969,
        4.7995790888573255,
        4.799598920803682,
        4.799618752750037,
        4.7996385846963925,
        4.799658416642749,
        4.799678248589105,
        4.799698080535461,
        4.7997179124818175,
        4.799737744428174,
        4.79975757637453,
        4.799777408320886,
        4.799797240267242,
        4.799817072213599,
        4.799836904159955,
        4.799856736106311,
        4.7998765680526665,
        4.799896399999023,
        4.799916231945379,
        4.799936063891735,
        4.7999558958380915,
        4.799975727784447,
        4.799995559730804,
        4.800015391677159,
        4.800035223623516,
        4.800055055569872,
        4.800074887516229,
        4.800094719462584,
        4.8001145514089405,
        4.800134383355296,
        4.800154215301653,
        4.800174047248008,
        4.8001938791943655,
        4.800213711140721,
        4.800233543087078,
        4.800253375033433,
        4.80027320697979,
        4.800293038926146,
        4.800312870872502,
        4.800332702818858,
        4.800352534765214,
        4.80037236671157,
        4.800392198657926,
        4.800412030604282,
        4.800431862550639,
        4.800451694496995,
        4.800471526443351,
        4.800491358389707,
        4.8005111903360635,
        4.80053102228242,
        4.800550854228776,
        4.800570686175132,
        4.800590518121488,
        4.800610350067844,
        4.8006301820142,
        4.8006500139605555,
        4.800669845906913,
        4.800689677853268,
        4.800709509799625,
        4.80072934174598,
        4.800749173692338,
        4.800769005638693,
        4.800788837585049,
        4.800808669531405,
        4.800828501477761,
        4.800848333424117,
        4.800868165370473,
        4.8008879973168295,
        4.800907829263186,
        4.800927661209542,
        4.800947493155897,
        4.800967325102254,
        4.80098715704861,
        4.801006988994967,
        4.801026820941322,
        4.801046652887679,
        4.801066484834034,
        4.801086316780391,
        4.801106148726746,
        4.8011259806731035,
        4.801145812619459,
        4.801165644565816,
        4.801185476512171,
        4.801205308458528,
        4.801225140404884,
        4.801244972351241,
        4.801264804297596,
        4.8012846362439525,
        4.801304468190308,
        4.801324300136664,
        4.80134413208302,
        4.801363964029377,
        4.801383795975733,
        4.801403627922089,
        4.801423459868445,
        4.801443291814802,
        4.801463123761158,
        4.801482955707514,
        4.80150278765387,
        4.8015226196002265,
        4.801542451546583,
        4.801562283492938,
        4.801582115439294,
        4.801601947385651,
        4.801621779332006,
        4.801641611278363,
        4.801661443224718,
        4.801681275171076,
        4.801701107117431,
        4.801720939063788,
        4.801740771010143,
        4.8017606029565005,
        4.801780434902856,
        4.801800266849212,
        4.8018200987955675,
        4.801839930741925,
        4.80185976268828,
        4.801998586312773,
        4.80201841825913,
        4.802038250205484,
        4.8020580821518415,
        4.802077914098197,
        4.802097746044554,
        4.802117577990909,
        4.8021374099372665,
        4.802157241883622,
        4.802177073829979,
        4.802196905776334,
        4.802216737722691,
        4.802236569669047,
        4.802256401615404,
        4.802276233561758,
        4.802296065508115,
        4.802315897454471,
        4.802335729400827,
        4.802355561347183,
        4.80237539329354,
        4.802395225239896,
        4.802415057186252,
        4.802434889132608,
        4.8024547210789645,
        4.802474553025321,
        4.802494384971677,
        4.802514216918032,
        4.802534048864389,
        4.802553880810745,
        4.802573712757101,
        4.802593544703457,
        4.802613376649814,
        4.802633208596169,
        4.802653040542526,
        4.802732368327951,
        4.8027522002743055,
        4.802772032220663,
        4.802791864167018,
        4.802811696113375,
        4.8028315280597305,
        4.802851360006088,
        4.802871191952443,
        4.8028910238988,
        4.802910855845155,
        4.802930687791512,
        4.802950519737868,
        4.802970351684224,
        4.8029901836305795,
        4.803010015576935,
        4.803029847523292,
        4.803049679469647,
        4.8030695114160045,
        4.80308934336236,
        4.803109175308717,
        4.803129007255072,
        4.803148839201429,
        4.803168671147785,
        4.803188503094142,
        4.803208335040497,
        4.8032281669868535,
        4.803247998933209,
        4.803267830879565,
        4.803287662825921,
        4.803307494772278,
        4.803327326718634,
        4.80334715866499,
        4.803366990611346,
        4.8033868225577026,
        4.803406654504059,
        4.803426486450415,
        4.803446318396771,
        4.803466150343127,
        4.803485982289483,
        4.803505814235839,
        4.803525646182195,
        4.803545478128552,
        4.803565310074908,
        4.803585142021264,
        4.803604973967619,
        4.803624805913977,
        4.803644637860332,
        4.803664469806689,
        4.803684301753044,
        4.803704133699401,
        4.803723965645756,
        4.803743797592113,
        4.8037636295384685,
        4.803783461484826,
        4.803803293431181,
        4.803823125377538,
        4.803842957323893,
        4.803862789270251,
        4.803882621216606,
        4.803902453162962,
        4.803922285109318,
        4.803942117055674,
        4.80396194900203,
        4.803981780948386,
        4.8040016128947425,
        4.804021444841099,
        4.804041276787455,
        4.804061108733811,
        4.8040809406801674,
        4.804100772626524,
        4.80412060457288,
        4.804140436519236,
        4.804160268465592,
        4.804180100411947,
        4.804199932358304,
        4.804219764304659,
        4.804239596251016,
        4.804259428197372,
        4.804279260143728,
        4.804299092090084,
        4.804318924036441,
        4.804338755982797,
        4.804358587929153,
        4.804378419875509,
        4.8043982518218655,
        4.804418083768221,
        4.804437915714577,
        4.804457747660933,
        4.80447757960729,
        4.804497411553646,
        4.804517243500002,
        4.804537075446358,
        4.804556907392715,
        4.80457673933907,
        4.804596571285427,
        4.804616403231782,
        4.8046362351781395,
        4.804656067124494,
        4.804675899070851,
        4.8046957310172065,
        4.804715562963564,
        4.804735394909919,
        4.804755226856276,
        4.8047750588026314,
        4.804794890748989,
        4.804814722695344,
        4.804834554641701,
        4.804854386588056,
        4.8048742185344135,
        4.804894050480768,
        4.804913882427124,
        4.8049337143734805,
        4.804953546319837,
        4.804973378266193,
        4.804993210212549,
        4.8050130421589055,
        4.805032874105262,
        4.805052706051618,
        4.805072537997974,
        4.80509236994433,
        4.805112201890687,
        4.805132033837042,
        4.805151865783398,
        4.8051716977297545,
        4.805191529676111,
        4.805211361622467,
        4.805231193568823,
        4.805251025515179,
        4.805270857461536,
        4.805290689407891,
        4.805310521354247,
        4.8053303533006035,
        4.80535018524696,
        4.805370017193315,
        4.805389849139671,
        4.805409681086028,
        4.805429513032384,
        4.80544934497874,
        4.805469176925096,
        4.805489008871453,
        4.8056278324959445,
        4.805647664442302,
        4.805667496388657,
        4.805687328335014,
        4.8057071602813695,
        4.805726992227727,
        4.805746824174082,
        4.805766656120439,
        4.805786488066794,
        4.8058063200131516,
        4.805826151959507,
        4.805845983905863,
        4.8058658158522185,
        4.805885647798575,
        4.805905479744931,
        4.805925311691287,
        4.8059451436376435,
        4.805964975584,
        4.805984807530356,
        4.806004639476712,
        4.806024471423068,
        4.806044303369425,
        4.806064135315781,
        4.806083967262136,
        4.8061037992084925,
        4.806123631154849,
        4.806143463101205,
        4.806163295047561,
        4.8061831269939175,
        4.806202958940274,
        4.806222790886629,
        4.806242622832986,
        4.8062624547793416,
        4.806282286725699,
        4.806302118672054,
        4.80632195061841,
        4.806341782564766,
        4.806361614511123,
        4.806381446457478,
        4.806401278403835,
        4.806421110350191,
        4.806440942296548,
        4.806460774242903,
        4.806480606189259,
        4.806500438135616,
        4.806520270081972,
        4.806540102028328,
        4.8065599339746825,
        4.80657976592104,
        4.806599597867395,
        4.806619429813752,
        4.8066392617601075,
        4.806659093706465,
        4.80667892565282,
        4.806698757599177,
        4.806718589545532,
        4.80673842149189,
        4.806758253438245,
        4.806778085384602,
        4.8067979173309565,
        4.806817749277314,
        4.806837581223669,
        4.806857413170025,
        4.8068772451163815,
        4.806897077062738,
        4.806916909009094,
        4.80693674095545,
        4.8069565729018064,
        4.806976404848163,
        4.806996236794519,
        4.807016068740875,
        4.8070359006872305,
        4.807055732633587,
        4.807075564579943,
        4.807095396526299,
        4.8071152284726555,
        4.807135060419012,
        4.807154892365368,
        4.807174724311724,
        4.80719455625808,
        4.807214388204437,
        4.807234220150792,
        4.807254052097149,
        4.807273884043504,
        4.807293715989861,
        4.807313547936216,
        4.807333379882573,
        4.807353211828929,
        4.807373043775286,
        4.807392875721641,
        4.807412707667998,
        4.807432539614354,
        4.807452371560711,
        4.807472203507066,
        4.807492035453423,
        4.807511867399778,
        4.807531699346134,
        4.80755153129249,
        4.8075713632388455,
        4.807591195185203,
        4.807611027131558,
        4.807630859077915,
        4.8076506910242705,
        4.807670522970628,
        4.807690354916983,
        4.80771018686334,
        4.807730018809695,
        4.807749850756052,
        4.807769682702407,
        4.807789514648764,
        4.8078093465951195,
        4.807829178541477,
        4.807849010487832,
        4.807868842434188,
        4.8078886743805445,
        4.807908506326901,
        4.807928338273257,
        4.807948170219613,
        4.807968002165969,
        4.807987834112325,
        4.808007666058681,
        4.808027498005037,
        4.8080473299513935,
        4.80806716189775,
        4.808086993844106,
        4.808106825790462,
        4.8081266577368185,
        4.808146489683175,
        4.808166321629531,
        4.808186153575887,
        4.8082059855222425,
        4.808225817468599,
        4.808245649414954,
        4.808265481361311,
        4.808285313307667,
        4.808305145254024,
        4.808324977200379,
        4.808344809146736,
        4.808364641093092,
        4.808384473039449,
        4.808404304985804,
        4.808424136932161,
        4.8084439688785166,
        4.808463800824873,
        4.808483632771228,
        4.808503464717585,
        4.808523296663941,
        4.808543128610297,
        4.808562960556653,
        4.808582792503009,
        4.808602624449366,
        4.808622456395722,
        4.808642288342078,
        4.808662120288434,
        4.808681952234791,
        4.808701784181145,
        4.808721616127502,
        4.8087414480738575,
        4.808761280020215,
        4.80878111196657,
        4.808800943912927,
        4.8088207758592825,
        4.808840607805639,
        4.808860439751995,
        4.808880271698351,
        4.808900103644707,
        4.808919935591064,
        4.808939767537419,
        4.808959599483775,
        4.8089794314301315,
        4.808999263376488,
        4.809019095322844,
        4.8090389272692,
        4.8090587592155565,
        4.809078591161913,
        4.809098423108269,
        4.809237246732762,
        4.809257078679117,
        4.809276910625474,
        4.80929674257183,
        4.809316574518187,
        4.809336406464542,
        4.809356238410899,
        4.809376070357255,
        4.809395902303612,
        4.809415734249966,
        4.809435566196323,
        4.809455398142679,
        4.809475230089036,
        4.809495062035391,
        4.809514893981747,
        4.809534725928104,
        4.80955455787446,
        4.809574389820816,
        4.809594221767172,
        4.809614053713529,
        4.809633885659885,
        4.80965371760624,
        4.809673549552596,
        4.809693381498953,
        4.809713213445309,
        4.809733045391665,
        4.809752877338021,
        4.809772709284378,
        4.809792541230734,
        4.80981237317709,
        4.809832205123446,
        4.809852037069802,
        4.810050356533363,
        4.8100701884797195,
        4.810090020426076,
        4.810109852372432,
        4.810129684318787,
        4.810149516265143,
        4.8101693482115,
        4.810189180157855,
        4.810209012104212,
        4.810228844050568,
        4.810248675996925,
        4.81032800378235,
        4.810347835728705,
        4.810367667675061,
        4.810387499621417,
        4.810407331567774,
        4.810427163514129,
        4.810446995460486,
        4.810466827406842,
        4.810595735058156,
        4.811200609422018,
        4.811220441368375,
        4.811240273314731,
        4.811260105261088,
        4.811279937207443,
        4.8112997691538,
        4.8113196011001556,
        4.811339433046512,
        4.812182290766648,
        4.814810023658835,
        4.814829855605191,
        4.814849687551548,
        4.814869519497903,
        4.81488935144426,
        4.814909183390615,
        4.814929015336972,
        4.814948847283327,
        4.814968679229684,
        4.81498851117604,
        4.815008343122397,
        4.815028175068752,
        4.815048007015109,
        4.815067838961465,
        4.815087670907821,
        4.815107502854177,
        4.8151273348005335,
        4.815147166746889,
        4.815166998693245,
        4.815186830639601,
        4.8152066625859575,
        4.815226494532314,
        4.81524632647867,
        4.815266158425026,
        4.8152859903713825,
        4.815305822317739,
        4.815325654264095,
        4.815345486210451
    ],
    "flux": [
        0.969486,
        0.968767,
        0.968048,
        0.967329,
        0.967617,
        0.969015,
        0.966929,
        0.958589,
        0.965746,
        0.968774,
        0.967978,
        0.969571,
        0.975311,
        0.977641,
        0.978594,
        0.979521,
        0.977954,
        0.977175,
        0.976209,
        0.973517,
        0.972652,
        0.97354,
        0.972309,
        0.975099,
        0.978979,
        0.984944,
        0.992188,
        0.993634,
        0.991603,
        0.988123,
        0.988754,
        0.992276,
        0.99572,
        0.997663,
        0.99916,
        0.999303,
        1.00086,
        1.00119,
        0.999355,
        0.996783,
        0.993727,
        0.990386,
        0.993875,
        0.989621,
        0.983448,
        0.984171,
        0.984297,
        0.981636,
        0.980483,
        0.97846,
        0.978496,
        0.984306,
        0.982371,
        0.987877,
        0.991428,
        0.981356,
        0.982136,
        0.99116,
        0.989181,
        0.992225,
        0.995933,
        0.996332,
        0.993828,
        0.991579,
        0.98948,
        0.99097,
        0.990866,
        0.988327,
        0.985016,
        0.983948,
        0.9862,
        0.984116,
        0.986271,
        0.988571,
        0.991223,
        0.994233,
        0.997033,
        0.999032,
        1.00083,
        1.00081,
        1.00179,
        1.0007,
        0.999151,
        0.999034,
        1.00008,
        0.999762,
        1.00057,
        1.00007,
        0.998778,
        1.00284,
        1.00554,
        1.00194,
        1.00493,
        1.01323,
        1.00144,
        1.01307,
        1.01632,
        1.01354,
        1.01491,
        1.01556,
        1.01495,
        1.01341,
        1.01728,
        1.0225,
        1.02835,
        1.02914,
        1.0205,
        1.02051,
        1.02674,
        1.02084,
        1.02346,
        1.02668,
        1.02482,
        1.02394,
        1.03746,
        1.02808,
        1.03414,
        1.0347,
        1.03462,
        1.03384,
        1.03375,
        1.0412,
        1.03272,
        1.03458,
        1.03373,
        1.02937,
        1.02611,
        1.02485,
        1.02149,
        1.02236,
        1.02052,
        1.01426,
        1.01163,
        1.01069,
        1.00704,
        1.00041,
        0.99772,
        0.99298,
        0.988625,
        0.986117,
        0.981805,
        0.97903,
        0.980334,
        0.979555,
        0.976574,
        0.97248,
        0.972377,
        0.97035,
        0.968345,
        0.96838,
        0.967171,
        0.966331,
        0.964375,
        0.958329,
        0.954148,
        0.956142,
        0.95816,
        0.952122,
        0.949241,
        0.96687,
        0.948448,
        0.949986,
        0.951748,
        0.94824,
        0.947952,
        0.948471,
        0.949311,
        0.957181,
        0.947651,
        0.949859,
        0.950929,
        0.940814,
        0.938161,
        0.952632,
        0.949245,
        0.96241,
        0.953407,
        0.947638,
        0.952244,
        0.951497,
        0.954609,
        0.959895,
        0.958498,
        0.957778,
        0.959535,
        0.962615,
        0.964349,
        0.963078,
        0.964897,
        0.971219,
        0.974058,
        0.9744,
        0.973635,
        0.974444,
        0.9783,
        0.978179,
        0.978946,
        0.989352,
        0.985943,
        0.986784,
        0.989387,
        0.982571,
        0.986998,
        0.986451,
        0.986428,
        0.984953,
        0.988845,
        0.995095,
        0.991358,
        0.972565,
        0.990618,
        0.984314,
        0.992365,
        0.985318,
        0.983215,
        0.988776,
        0.983079,
        0.993712,
        0.99632,
        0.99073,
        0.990028,
        0.992227,
        0.995127,
        0.997472,
        0.996091,
        0.994458,
        0.989544,
        0.998149,
        1.00446,
        1.00019,
        0.990358,
        0.982481,
        0.959639,
        0.961337,
        0.964837,
        0.969521,
        0.957566,
        0.958395,
        0.959798,
        0.9637,
        0.97039,
        0.972559,
        0.971443,
        0.971392,
        0.97222,
        0.970754,
        0.973377,
        0.975293,
        0.973789,
        0.9733,
        0.972122,
        0.967343,
        0.96996,
        0.967595,
        0.965057,
        1.00038,
        1.01138,
        0.987822,
        0.965524,
        0.969841,
        0.967988,
        0.963161,
        0.960617,
        0.960054,
        0.95709,
        0.951721,
        0.951571,
        0.966729,
        0.952368,
        0.957694,
        0.963862,
        0.966403,
        0.969868,
        0.9784,
        0.987522,
        0.984308,
        0.986443,
        0.987726,
        0.989342,
        0.993469,
        0.996185,
        0.992906,
        0.992494,
        1.0025,
        1.00513,
        1.00107,
        1.00304,
        1.00639,
        1.00463,
        1.00715,
        1.00682,
        1.00597,
        1.00933,
        1.01521,
        1.01721,
        1.01383,
        1.01031,
        1.00975,
        1.01013,
        1.01056,
        1.01095,
        1.00486,
        1.00616,
        1.01684,
        1.00706,
        1.00481,
        1.00341,
        1.00296,
        1.00018,
        1.01405,
        1.0289,
        1.01354,
        1.01471,
        1.04373,
        1.03146,
        1.05129,
        1.07445,
        1.08216,
        1.08423,
        1.09826,
        1.09566,
        1.0834,
        1.09494,
        1.09284,
        1.08425,
        1.08131,
        1.08114,
        1.07558,
        1.07027,
        1.0685,
        1.07142,
        1.06562,
        1.06322,
        1.06738,
        1.05833,
        1.05431,
        1.05445,
        1.05407,
        1.05193,
        1.05236,
        1.05425,
        1.05366,
        1.05226,
        1.0479,
        1.04043,
        1.03983,
        1.04337,
        1.04152,
        1.0368,
        1.04082,
        1.03462,
        1.04225,
        1.04476,
        1.04368,
        1.04797,
        1.05426,
        1.05414,
        1.04895,
        1.04403,
        1.03734,
        1.02815,
        null,
        1.12861,
        1.14253,
        1.16329,
        1.18868,
        1.21652,
        1.22542,
        1.18987,
        1.13008,
        1.10116,
        1.13482,
        1.20652,
        1.24227,
        1.23168,
        1.21878,
        1.2053,
        1.18087,
        1.15988,
        1.15129,
        1.1298,
        1.11948,
        1.10919,
        1.09887,
        1.08585,
        1.07151,
        1.05937,
        1.05066,
        1.04071,
        1.0339,
        1.03119,
        1.02347,
        1.01932,
        1.00987,
        0.999536,
        1.00968,
        1.00709,
        0.984466,
        0.992472,
        0.989739,
        0.986071,
        0.988462,
        0.990536,
        0.985329,
        0.980125,
        0.979032,
        0.974277,
        0.971745,
        0.969311,
        0.964917,
        0.959918,
        0.95605,
        0.957441,
        0.95265,
        0.951606,
        0.948779,
        0.946518,
        0.945475,
        0.942531,
        0.950926,
        0.948781,
        0.936153,
        0.930607,
        0.924393,
        0.915454,
        0.920783,
        0.953895,
        0.915677,
        0.939207,
        0.930626,
        0.936431,
        0.94297,
        0.941105,
        0.94186,
        0.945693,
        0.94688,
        0.947572,
        0.950955,
        0.958965,
        0.960053,
        0.958727,
        0.9691,
        0.96229,
        0.966054,
        0.970182,
        0.972665,
        0.9777,
        0.981054,
        0.978059,
        0.972741,
        0.973948,
        0.986128,
        0.990036,
        0.989151,
        0.991234,
        0.992979,
        0.991751,
        0.998562,
        1.00107,
        0.996206,
        0.999452,
        0.998285,
        0.998881,
        1.0044,
        1.00927,
        1.01166,
        1.00796,
        1.00623,
        1.01807,
        1.02094,
        1.02093,
        1.02312,
        1.01904,
        1.01717,
        1.02383,
        1.02463,
        1.02779,
        1.02665,
        1.02255,
        1.02131,
        1.02625,
        1.04119,
        1.0253,
        1.0312,
        1.03247,
        1.03069,
        1.03133,
        1.03618,
        1.04227,
        1.03339,
        1.04272,
        1.04068,
        1.0421,
        1.04228,
        1.03798,
        1.0343,
        1.03557,
        1.03283,
        1.0312,
        1.03194,
        1.03501,
        1.03737,
        1.03538,
        1.03025,
        1.03024,
        1.03071,
        1.025,
        1.02028,
        1.02562,
        1.03047,
        1.02675,
        1.02579,
        1.02343,
        1.02667,
        1.02496,
        1.024,
        1.02281,
        1.01989,
        1.01658,
        1.01618,
        1.01539,
        1.01161,
        1.01621,
        1.01495,
        1.01504,
        1.01815,
        1.01904,
        1.01368,
        1.01493,
        1.01779,
        1.01683,
        1.02038,
        1.02229,
        1.02053,
        1.02055,
        1.01799,
        1.0217,
        1.01863,
        1.01288,
        1.01462,
        1.0154,
        1.01075,
        1.01082,
        1.0129,
        1.00907,
        1.00951,
        1.00792,
        1.01525,
        1.01867,
        1.01571,
        1.01157,
        1.01344,
        1.00654,
        1.00445,
        1.01331,
        1.04061,
        1.03261,
        1.02574,
        1.02497,
        1.02702,
        1.02667,
        1.0246,
        1.02297,
        1.01823,
        1.01937,
        1.01277,
        1.01409,
        1.018,
        1.01544,
        1.00823,
        1.01431,
        1.01796,
        1.00638,
        1.00308,
        1.00355,
        1.00494,
        1.00531,
        1.0069,
        1.00688,
        1.00519,
        1.00545,
        1.00708,
        1.00427,
        0.999322,
        0.996924,
        0.994393,
        0.992372,
        0.999434,
        1.00826,
        0.992655,
        1.00555,
        1.00771,
        1.00348,
        1.00528,
        1.00686,
        1.00956,
        1.0127,
        1.01158,
        1.00958,
        1.01237,
        1.01046,
        1.00731,
        1.00972,
        1.01373,
        1.01193,
        1.0117,
        1.0108,
        1.012,
        1.01747,
        1.02507,
        1.01837,
        1.01366,
        1.01358,
        1.0166,
        1.01274,
        1.00808,
        1.00333,
        1.00768,
        0.999661,
        0.996666,
        1.00373,
        0.999431,
        0.985528,
        0.989905,
        0.993596,
        1.01097,
        1.01241,
        1.00602,
        1.00975,
        1.00915,
        1.00278,
        0.998969,
        1.00144,
        0.997493,
        1.00416,
        1.00929,
        1.00619,
        1.00003,
        0.997996,
        0.996953,
        0.999674,
        0.997076,
        0.99447,
        0.992436,
        0.991987,
        0.987982,
        0.988601,
        0.98997,
        0.982731,
        0.980046,
        0.979453,
        0.97916,
        0.975881,
        0.971549,
        0.96881,
        0.968499,
        0.966299,
        0.961632,
        0.968488,
        0.97704,
        0.96973,
        0.962464,
        0.966748,
        0.961859,
        0.963579,
        0.963317,
        0.964378,
        0.96633,
        0.966201,
        0.971203,
        0.963291,
        0.969556,
        0.970971,
        0.970035,
        0.969844,
        0.970698,
        0.970045,
        0.971311,
        0.975177,
        0.997339,
        1.0009,
        0.997044,
        0.997353,
        1.00263,
        1.0059,
        1.00785,
        1.00425,
        1.00961,
        1.00618,
        1.00163,
        0.996178,
        0.992751,
        0.992848,
        0.995742,
        1.02776,
        1.01561,
        1.01473,
        1.01063,
        1.00766,
        1.00491,
        1.00323,
        1.00883,
        1.00317,
        1.01808,
        1.01821,
        1.01314,
        1.0108,
        1.01188,
        1.01285,
        1.01006,
        1.01478,
        1.0166,
        1.0119,
        1.0165,
        1.01459,
        1.0015,
        0.995452,
        0.995152,
        0.998073,
        0.995675,
        0.992931,
        1.00532,
        1.00947,
        1.00127,
        0.998222,
        0.99871,
        0.99962,
        1.00202,
        1.00606,
        1.0132,
        1.00978,
        1.00406,
        1.00611,
        1.00519,
        1.00421,
        1.00794,
        1.00684,
        1.00725,
        1.00535,
        1.00333,
        1.00455,
        1.00487,
        1.00191,
        0.999965,
        0.995603,
        0.992926,
        0.990586,
        0.992599,
        0.988367,
        0.983076,
        0.978942,
        0.978194,
        0.983817,
        0.987794,
        0.983721,
        0.978654,
        0.981892,
        0.984573,
        0.979101,
        0.976541,
        0.978256,
        0.980238,
        0.974632,
        0.977142,
        0.988772,
        0.979454,
        0.976341,
        0.978799,
        0.980594,
        0.983957,
        0.983457,
        0.980486,
        0.978719,
        0.98625,
        0.997653,
        0.992234,
        0.990918,
        0.994405,
        0.993338,
        0.993441,
        0.985393,
        0.979116,
        0.984719,
        0.998192,
        1.00821,
        1.0107,
        1.0102,
        1.0133,
        1.01995,
        1.01731,
        1.01679,
        1.01871,
        1.01952,
        1.01721,
        null,
        1.10535,
        1.10634,
        1.1361,
        1.15785,
        1.18505,
        1.2077,
        1.22946,
        1.25423,
        1.28595,
        1.31669,
        1.31584,
        1.29813,
        1.29528,
        1.28917,
        1.26743,
        1.24094,
        1.22558,
        1.21653,
        1.19994,
        1.19571,
        1.17397,
        1.15837,
        1.14634,
        1.13627,
        1.12237,
        1.10873,
        1.10828,
        1.09889,
        1.09893,
        1.09644,
        1.10582,
        1.10406,
        1.10067,
        1.09152,
        1.08721,
        1.08595,
        1.08,
        1.09947,
        1.08837,
        1.0816,
        1.07827,
        1.07921,
        1.07887,
        1.07675,
        1.07641,
        1.07557,
        1.07417,
        1.07307,
        1.06979,
        1.0694,
        1.06926,
        1.07166,
        1.07123,
        1.06808,
        1.06571,
        1.06822,
        1.07066,
        1.07345,
        1.07324,
        1.07461,
        1.0771,
        1.07768,
        1.07372,
        1.07168,
        1.07915,
        1.08502,
        1.06435,
        1.08346,
        1.08677,
        1.08117,
        1.07747,
        1.07689,
        1.07608,
        1.07328,
        1.06836,
        1.06718,
        1.0685,
        1.06746,
        1.07021,
        1.07156,
        1.06293,
        1.05421,
        1.04412,
        1.04786,
        1.04741,
        1.04587,
        1.04505,
        1.04194,
        1.04041,
        1.04682,
        1.041,
        1.03728,
        1.03593,
        1.03389,
        1.03308,
        1.03278,
        1.0312,
        1.0278,
        1.02294,
        1.0191,
        1.01591,
        1.01485,
        1.01309,
        1.01582,
        1.0181,
        1.01101,
        1.01079,
        1.01069,
        1.01509,
        1.01887,
        1.0116,
        1.00771,
        1.00794,
        1.00617,
        1.00736,
        1.00582,
        1.00454,
        1.00443,
        1.00096,
        0.995217,
        0.991614,
        0.99092,
        0.98722,
        0.98469,
        0.984108,
        0.979103,
        0.97522,
        0.974621,
        0.974016,
        0.974569,
        0.974503,
        0.974776,
        0.976333,
        0.983539,
        0.981448,
        0.980369,
        0.983382,
        0.982054,
        0.979827,
        0.992388,
        0.993124,
        0.983544,
        0.990602,
        0.988875,
        0.986614,
        0.987114,
        0.9859,
        0.983636,
        0.983448,
        0.984206,
        0.981709,
        0.989118,
        0.987434,
        0.98416,
        0.978968,
        0.980168,
        0.97692,
        0.974419,
        0.976904,
        0.97357,
        0.987897,
        0.98038,
        0.976045,
        0.979939,
        0.978606,
        0.973226,
        0.971305,
        0.969544,
        0.968186,
        0.967416,
        0.962205,
        0.962191,
        0.961098,
        0.958021,
        0.957588,
        0.9591,
        0.9587,
        0.95064,
        0.973475,
        0.968163,
        0.976401,
        0.975172,
        0.971887,
        0.967365,
        0.97685,
        0.975875,
        0.97478,
        0.974001,
        0.970591,
        0.966757,
        0.964157,
        0.963036,
        0.965085,
        0.967328,
        0.973594,
        0.977105,
        0.972874,
        0.968177,
        0.964647,
        0.963203,
        0.963096,
        0.962022,
        0.959251,
        0.959101,
        0.959727,
        0.959309,
        0.957721,
        0.954981,
        0.953573,
        0.95312,
        0.952564,
        0.95182,
        0.950014,
        0.949771,
        0.944692,
        0.951175,
        0.954825,
        0.958003,
        0.957331,
        0.956904,
        0.950598,
        0.948714,
        0.947216,
        0.945748,
        0.954186,
        0.959529,
        0.961538,
        0.951454,
        0.961697,
        0.952973,
        0.950167,
        0.952348,
        0.955213,
        0.955027,
        0.954587,
        0.954103,
        0.954239,
        0.954032,
        0.962506,
        0.961434,
        0.962425,
        0.963145,
        0.964878,
        0.967377,
        0.967474,
        0.962035,
        0.967068,
        0.972136,
        0.970979,
        0.969169,
        0.967427,
        0.965744,
        0.965472,
        0.964904,
        0.960804,
        0.960597,
        0.964225,
        0.966631,
        0.977235,
        0.988321,
        0.986502,
        0.989523,
        0.983062,
        0.979512,
        0.97845,
        0.976212,
        0.974627,
        0.973011,
        0.970444,
        0.968587,
        0.970504,
        0.991078,
        1.00764,
        0.969281,
        0.967741,
        0.959397,
        0.964353,
        0.969364,
        0.971734,
        0.968841,
        0.966587,
        0.967875,
        0.970525,
        0.969431,
        0.971303,
        0.977424,
        0.977195,
        0.976344,
        0.975609,
        0.974435,
        0.971433,
        0.9694,
        0.964327,
        0.96407,
        0.972318,
        0.970666,
        0.968391,
        0.967286,
        0.969584,
        0.970271,
        0.969233,
        0.972235,
        0.972888,
        0.971355,
        0.972455,
        0.974727,
        0.975174,
        0.981918,
        0.981115,
        0.983456,
        0.988154,
        0.987861,
        0.985849,
        0.983522,
        0.978209,
        0.988735,
        0.992076,
        0.983017,
        0.977098,
        0.977274,
        0.975808,
        0.974236,
        0.971263,
        0.971392,
        0.970701,
        0.969531,
        0.971633,
        0.983472,
        0.979912,
        0.976085,
        0.977237,
        0.977468,
        0.977772,
        0.976842,
        0.971408,
        0.972078,
        0.976222,
        0.970979,
        0.968518,
        0.985985,
        0.986237,
        0.974893,
        0.968782,
        0.96783,
        0.964197,
        0.960072,
        0.957331,
        0.952988,
        0.954358,
        0.954281,
        0.950252,
        0.951628,
        0.959856,
        0.964012,
        0.9582,
        0.955227,
        0.956715,
        0.958877,
        0.955022,
        0.951782,
        0.960149,
        0.972367,
        0.964728,
        0.961655,
        0.957435,
        0.958632,
        0.949029,
        0.952001,
        0.960058,
        0.960334,
        0.957817,
        0.961147,
        0.961479,
        0.960926,
        0.972247,
        0.975192,
        0.971548,
        0.967224,
        0.9646,
        0.966197,
        0.979885,
        0.997871,
        0.984945,
        0.982956,
        0.99089,
        0.996922,
        0.99761,
        0.997316,
        0.99609,
        1.00245,
        1.00387,
        0.994776,
        1.00697,
        1.02393,
        1.02836,
        1.02067,
        1.01348,
        1.01831,
        1.02285,
        1.02003,
        1.0218,
        1.01798,
        1.01704,
        1.02063,
        1.0207,
        1.01971,
        1.01931,
        1.02544,
        1.02475,
        1.02388,
        1.02508,
        1.02581,
        1.02484,
        1.02441,
        1.02407,
        1.02816,
        1.03268,
        1.02801,
        1.02735,
        1.0343,
        1.05025,
        1.06228,
        1.04895,
        1.04881,
        1.04908,
        1.04732,
        1.05213,
        1.05538,
        1.05766,
        1.06132,
        1.06448,
        1.06591,
        1.06787,
        1.07137,
        1.06843,
        1.07082,
        1.07266,
        1.07227,
        1.07312,
        null,
        1.16003,
        1.1796,
        1.21677,
        1.22055,
        1.25684,
        1.26987,
        1.29566,
        1.32346,
        1.34013,
        1.34488,
        1.34224,
        1.3334,
        1.32355,
        1.29177,
        1.26208,
        1.24432,
        1.22494,
        1.20333,
        1.18158,
        1.16267,
        1.15138,
        1.13016,
        1.1115,
        1.09924,
        1.08053,
        1.0836,
        1.08341,
        1.06154,
        1.03949,
        1.03773,
        1.03851,
        1.03114,
        1.02348,
        1.02314,
        1.02579,
        1.02447,
        1.02039,
        1.01788,
        1.007,
        1.00045,
        1.00329,
        1.00196,
        1.00211,
        0.996732,
        0.985523,
        0.977968,
        0.980501,
        0.991375,
        0.966307,
        0.959433,
        0.957214,
        0.947071,
        null,
        1.02434,
        1.0372,
        1.05946,
        1.07709,
        1.07679,
        1.06721,
        1.06065,
        1.06056,
        1.06576,
        1.05754,
        1.04496,
        1.03503,
        1.02309,
        1.00935,
        1.0057,
        1.01206,
        1.0029,
        0.988647,
        0.97924,
        0.975597,
        0.976898,
        0.978901,
        0.971035,
        0.965346,
        0.97017,
        0.974389,
        0.975742,
        0.976461,
        0.975843,
        0.972493,
        0.967892,
        0.967436,
        0.981368,
        0.978447,
        0.980493,
        0.979085,
        0.976206,
        0.978053,
        0.980719,
        0.975736,
        0.973795,
        0.970544,
        0.967771,
        0.959997,
        0.95894,
        0.956987,
        0.951064,
        0.94739,
        0.951157,
        0.964921,
        0.965301,
        0.975805,
        0.988809,
        1.0051,
        0.999985,
        1.00948,
        1.01851,
        1.02083,
        1.02506,
        1.03577,
        1.04746,
        1.05395,
        1.06558,
        1.07486,
        1.07862,
        1.08222,
        1.08026,
        1.07625,
        1.07274,
        1.06773,
        1.06062,
        1.06105,
        1.05691,
        1.04851,
        1.04513,
        1.03914,
        1.03363,
        1.02852,
        1.02276,
        1.02056,
        1.01323,
        1.01078,
        1.01194,
        1.00948,
        1.00807,
        1.00452,
        0.998531,
        0.998175,
        1.00798,
        1.00438,
        1.00759,
        1.00645,
        1.00637,
        1.00243,
        1.00079,
        1.00087,
        0.99978,
        1.00229,
        0.994861,
        0.992573,
        0.989714,
        0.996107,
        0.991005,
        0.988623,
        0.992247,
        0.991092,
        0.988884,
        0.98749,
        0.989894,
        0.987103,
        0.981877,
        0.990727,
        0.99897,
        0.994572,
        0.992108,
        1.00836,
        0.998656,
        0.994551,
        0.997472,
        1.0007,
        1.00051,
        0.997227,
        0.993204,
        0.990232,
        0.987876,
        0.985502,
        0.987441,
        0.987112,
        0.983902,
        0.983569,
        0.983891,
        0.981711,
        0.980643,
        0.979396,
        0.976865,
        0.97515,
        0.971324,
        0.969321,
        0.971443,
        0.973941,
        0.975515,
        0.974313,
        0.967569,
        0.959965,
        0.969628,
        0.971685,
        0.971635,
        0.973545,
        0.971862,
        0.969195,
        0.967156,
        0.962281,
        0.959108,
        0.960637,
        0.961542,
        0.960863,
        0.95843,
        0.954868,
        0.951513,
        0.948231,
        0.946949,
        0.94603,
        0.946877,
        0.946566,
        0.947571,
        0.946637,
        0.947214,
        0.949084,
        0.949714,
        0.949916,
        0.951532,
        0.949219,
        0.948984,
        0.949439,
        0.950878,
        0.950512,
        0.953206,
        0.95775,
        0.951734,
        0.954806,
        0.954944,
        0.954386,
        0.951642,
        0.955936,
        0.95602,
        0.955144,
        0.958912,
        0.962336,
        0.963524,
        0.966585,
        0.966074,
        0.96258,
        0.965385,
        0.965294,
        0.964744,
        0.967063,
        0.966141,
        0.97072,
        0.972364,
        0.978282,
        0.980687,
        0.97893,
        0.981787,
        0.985004,
        0.985361,
        0.986522,
        0.990869,
        0.9943,
        0.997058,
        0.996134,
        0.996187,
        0.996882,
        0.996284,
        0.995745,
        0.997616,
        1.00008,
        1.00226,
        1.00332,
        1.00343,
        1.0052,
        1.00506,
        1.00593,
        1.00943,
        1.01379,
        1.0154,
        1.01372,
        1.01554,
        1.01563,
        1.01905,
        1.02358,
        1.02625,
        1.0272,
        1.02871,
        1.03148,
        1.0317,
        1.03408,
        1.03496,
        1.03859,
        1.04205,
        1.04271,
        1.04366,
        1.04505,
        1.04541,
        1.04567,
        1.0466,
        1.03525,
        1.0423,
        1.0482,
        1.04704,
        1.04492,
        1.04399,
        1.04405,
        1.04534,
        1.04372,
        1.04217,
        1.04124,
        1.03817,
        1.05269,
        1.04523,
        1.03626,
        1.03604,
        1.03492,
        1.03032,
        1.02813,
        1.03019,
        1.03109,
        1.03203,
        1.02903,
        1.02805,
        1.03017,
        1.03204,
        1.03296,
        1.03539,
        1.03288,
        1.02968,
        1.02174,
        1.02224,
        1.0281,
        1.0363,
        1.04013,
        1.04324,
        1.04421,
        1.04415,
        1.0455,
        1.04816,
        1.04983,
        1.04756,
        1.04903,
        1.05228,
        1.05402,
        1.05089,
        1.0458,
        1.04739,
        1.04518,
        1.04487,
        1.04174,
        1.03943,
        1.04084,
        1.04074,
        1.04097,
        1.04172,
        1.03958,
        1.04204,
        1.0412,
        1.03577,
        1.03461,
        1.03309,
        1.03269,
        1.03092,
        1.02945,
        1.02975,
        1.03306,
        1.03102,
        1.02885,
        1.02955,
        1.03257,
        1.02874,
        1.02841,
        1.0295,
        1.02925,
        1.02921,
        1.02765,
        1.02261,
        1.01963,
        1.01988,
        1.02112,
        1.02078,
        1.01777,
        1.01594,
        1.01966,
        1.02273,
        1.02106,
        1.01784,
        1.01626,
        1.01815,
        1.01927,
        1.0145,
        1.0138,
        1.0104,
        1.00638,
        1.00362,
        1.00303,
        1.00499,
        1.00592,
        0.996631,
        1.00313,
        1.00386,
        1.00332,
        1.003,
        1.00383,
        1.00753,
        1.01077,
        1.01099,
        1.01099,
        1.00883,
        1.01399,
        1.01599,
        1.01099,
        1.01373,
        1.0192,
        1.02054,
        1.02039,
        1.02258,
        1.02259,
        1.0159,
        1.01079,
        1.01087,
        1.07618,
        1.09104,
        1.09958,
        1.11816,
        1.14479,
        1.16951,
        1.1937,
        1.21949,
        1.23818,
        1.26685,
        1.294,
        1.3101,
        1.31113,
        1.30557,
        1.29387,
        1.27497,
        1.25285,
        1.23089,
        1.20815,
        1.18758,
        1.16679,
        1.15474,
        1.14122,
        1.12212,
        1.10384,
        1.08949,
        1.07703,
        1.0671,
        1.05735,
        1.04682,
        1.0381,
        1.02802,
        1.02407,
        1.01985,
        1.01836,
        1.01912,
        1.01533,
        1.00673,
        1.00383,
        1.00473,
        0.996237,
        0.992244,
        0.990128,
        0.984543,
        0.981539,
        0.980141,
        0.976527,
        0.973978,
        0.974603,
        0.972441,
        0.971788,
        0.969555,
        0.969854,
        0.969142,
        0.965543,
        0.963208,
        0.961848,
        0.956471,
        0.94909,
        0.950572,
        0.950451,
        0.949314,
        0.94697,
        0.9448,
        0.946032,
        0.950199,
        0.95397,
        0.953488,
        0.949221,
        0.949898,
        0.95472,
        0.95769,
        0.959722,
        0.960091,
        0.958156,
        0.957409,
        0.958421,
        0.959297,
        0.959334,
        0.959528,
        0.959403,
        0.953012,
        0.950856,
        0.949183,
        0.946107,
        0.944129,
        0.945682,
        0.948109,
        0.948798,
        0.951361,
        0.957428,
        0.962845,
        0.964035,
        0.960505,
        0.959692,
        0.960618,
        0.962053,
        0.964496,
        0.967551,
        0.969165,
        0.968905,
        0.968384,
        0.962692,
        0.968388,
        0.969672,
        0.956616,
        0.951476,
        0.950588,
        0.951179,
        0.954558,
        0.950706,
        0.951997,
        0.953794,
        0.95838,
        0.956928,
        0.954749,
        0.958271,
        0.961459,
        0.962782,
        0.962283,
        0.96237,
        0.974437,
        0.976364,
        0.975577,
        0.976279,
        0.979946,
        0.980935,
        0.981638,
        0.983197,
        0.983105,
        0.981946,
        0.983562,
        0.984001,
        0.988292,
        0.986919,
        0.912916,
        0.850308,
        0.867975,
        0.933987,
        0.979657,
        0.990635,
        0.996151,
        0.997732,
        0.992147,
        0.984558,
        0.987938,
        0.991451,
        0.990251,
        0.99267,
        0.996833,
        0.996121,
        0.992717,
        0.994204,
        0.995046,
        0.992467,
        0.995478,
        0.996044,
        0.994968,
        1.00362,
        1.00303,
        0.998287,
        0.997442,
        0.995976,
        0.992003,
        0.98987,
        0.990037,
        0.978842,
        0.975536,
        0.974923,
        0.976895,
        0.978973,
        0.977031,
        0.973143,
        0.971011,
        0.968161,
        0.975446,
        0.984584,
        0.971909,
        0.979775,
        0.983902,
        0.985921,
        0.987817,
        0.988209,
        0.990125,
        0.993439,
        0.984342,
        0.984197,
        0.983668,
        0.985343,
        0.986527,
        0.987514,
        0.989317,
        0.990193,
        0.992695,
        0.994841,
        0.987554,
        0.97971,
        0.981047,
        0.985294,
        0.978086,
        0.975065,
        0.976101,
        0.979739,
        0.976276,
        0.965923,
        0.983298,
        0.984394,
        0.979534,
        0.979065,
        0.97877,
        0.977892,
        0.979387,
        0.98167,
        0.979641,
        0.974879,
        0.977643,
        0.983077,
        0.979749,
        0.988336,
        0.988393,
        0.985923,
        0.987748,
        0.992198,
        0.994481,
        0.993488,
        0.993974,
        1.00787,
        0.999909,
        1.00255,
        1.00321,
        1.0037,
        1.00366,
        1.0074,
        1.01066,
        1.00906,
        1.01065,
        1.02343,
        1.03041,
        1.03258,
        1.02865,
        1.02818,
        1.03097,
        1.03106,
        1.0316,
        1.03145,
        1.02826,
        1.02738,
        1.0345,
        1.04046,
        1.03703,
        1.02586,
        1.02236,
        1.03361,
        1.03656,
        1.03429,
        1.03469,
        1.03947,
        1.04443,
        1.03826,
        1.03763,
        1.04303,
        1.04824,
        1.04737,
        1.04863,
        1.04968,
        1.04516,
        1.044,
        1.04306,
        1.03838,
        1.02978,
        1.03517,
        1.03546,
        1.04469,
        1.04091,
        1.0412,
        1.03744,
        1.03098,
        1.03063,
        1.03171,
        1.02857,
        1.0288,
        1.03296,
        1.02697,
        1.0267,
        1.02972,
        1.02466,
        1.0259,
        1.029,
        1.03038,
        1.03026,
        1.03236,
        1.03633,
        1.03725,
        1.03456,
        1.03635,
        1.03458,
        1.03155,
        1.03055,
        1.02888,
        1.02775,
        1.02865,
        1.03076,
        1.03312,
        1.03375,
        1.02972,
        1.04014,
        1.03585,
        1.03492,
        1.04034,
        1.04273,
        1.03941,
        1.03605,
        1.04149,
        1.0374,
        1.03652,
        1.03438,
        1.01971,
        1.02904,
        1.03282,
        1.02502,
        1.01696,
        1.01466,
        1.01247,
        1.0068,
        1.01061,
        1.01353,
        1.01452,
        1.01548,
        1.01301,
        1.0135,
        1.01184,
        1.00672,
        1.00929,
        1.00879,
        1.00518,
        1.01014,
        1.0104,
        1.0075,
        1.0059,
        1.00667,
        1.00599,
        1.00819,
        1.00889,
        1.00713,
        1.00596,
        1.00729,
        1.00748,
        1.00161,
        1.00255,
        0.999481,
        0.999261,
        0.996825,
        0.994221,
        0.993125,
        0.987596,
        0.984027,
        0.978409,
        0.97635,
        0.976819,
        0.97483,
        0.972577,
        0.969378,
        0.965848,
        0.962702,
        0.956755,
        0.949265,
        0.949561,
        0.945333,
        0.948888,
        0.947123,
        0.931971,
        0.933007,
        0.936332,
        0.938277,
        0.934609,
        0.933516,
        0.933148,
        0.926844,
        0.923937,
        0.922868,
        0.92435,
        0.924139,
        0.922719,
        0.925782,
        0.92158,
        0.91375,
        0.92042,
        0.914775,
        0.916589,
        0.915009,
        0.913987,
        0.913901,
        0.914711,
        0.914747,
        0.912625,
        0.918407,
        0.91149,
        0.914119,
        0.912311,
        0.910616,
        0.916498,
        0.916616,
        0.915959,
        0.917437,
        0.917499,
        0.918801,
        0.919661,
        0.923675,
        0.91909,
        0.920645,
        0.924631,
        0.923835,
        0.9227,
        0.926181,
        0.926743,
        0.925567,
        0.927448,
        0.930331,
        0.929171,
        0.93087,
        0.935726,
        0.937359,
        0.936974,
        0.938789,
        0.939165,
        0.939102,
        0.943282,
        0.948363,
        0.948025,
        0.951634,
        0.96362,
        0.957199,
        0.959056,
        0.973391,
        0.983027,
        0.981301,
        0.97451,
        0.972507,
        0.971236,
        0.967798,
        0.965461,
        0.971247,
        0.962908,
        0.971892,
        0.971541,
        0.977128,
        0.987492,
        0.992198,
        0.99344,
        0.994953,
        0.997647,
        null,
        1.10443,
        1.14246,
        1.14336,
        1.15029,
        1.18407,
        1.21215,
        1.22626,
        1.25366,
        1.2874,
        1.30699,
        1.32886,
        1.34677,
        1.34529,
        1.33318,
        1.32032,
        1.3,
        1.27664,
        1.25959,
        1.2447,
        1.22606,
        1.19684,
        1.17519,
        1.16719,
        1.15378,
        1.13715,
        1.11578,
        1.10496,
        1.09573,
        1.08201,
        1.07318,
        1.06719,
        1.06151,
        1.05767,
        1.05774,
        1.05669,
        1.05128,
        1.04651,
        1.04753,
        1.03899,
        1.03607,
        1.03746,
        1.03789,
        1.01896,
        1.01395,
        1.02083,
        1.01614,
        1.01254,
        1.01176,
        1.00908,
        1.00031,
        0.997907,
        0.997089,
        0.989575,
        0.993997,
        0.998166,
        0.996636,
        0.99409,
        0.992662,
        0.995597,
        0.991424,
        0.988481,
        0.989583,
        0.98581,
        0.979683,
        0.975535,
        0.974722,
        0.975153,
        0.97239,
        0.971057,
        0.923054,
        0.761449,
        0.609051,
        0.685006,
        0.855105,
        0.941615,
        0.969588,
        0.972057,
        0.971458,
        0.967696,
        0.966757,
        0.965112,
        0.966428,
        0.966245,
        0.963986,
        0.966575,
        0.965547,
        0.961208,
        0.959601,
        0.959907,
        0.956031,
        0.951772,
        0.950305,
        0.947996,
        0.944832,
        0.947293,
        0.949986,
        0.943662,
        0.939543,
        0.946616,
        0.945938,
        0.944898,
        0.947873,
        0.948351,
        0.947208,
        0.947447,
        0.949062,
        0.948539,
        0.94579,
        0.945147,
        0.942758,
        0.944165,
        0.938799,
        0.938194,
        0.936903,
        0.938292,
        0.937476,
        0.938923,
        0.938902,
        0.939015,
        0.942293,
        0.946961,
        0.955575,
        0.951452,
        0.956807,
        0.964238,
        0.960711,
        0.967008,
        0.972583,
        0.970448,
        0.967343,
        0.969445,
        0.970489,
        0.969708,
        0.976143,
        0.97625,
        0.983027,
        0.977706,
        0.980474,
        0.985758,
        0.983536,
        0.979781,
        0.981555,
        0.985813,
        0.986599,
        0.991713,
        0.99541,
        0.993953,
        0.991242,
        0.987292,
        0.993022,
        0.993069,
        0.987125,
        0.984719,
        0.984496,
        0.980338,
        0.979859,
        0.979635,
        0.983027,
        0.987203,
        0.982605,
        0.985875,
        0.987139,
        0.98702,
        0.990626,
        0.99273,
        0.993438,
        0.995495,
        0.995553,
        0.996807,
        0.994833,
        0.993832,
        0.997716,
        1.00161,
        0.996834,
        0.995277,
        0.996082,
        0.994713,
        0.993325,
        0.991086,
        0.988723,
        0.983792,
        0.981589,
        0.979329,
        0.978851,
        0.97599,
        0.970949,
        0.96842,
        0.966229,
        0.964233,
        0.962886,
        0.960247,
        0.961842,
        0.965199,
        0.965361,
        0.96714,
        0.967206,
        0.966029,
        0.968975,
        0.965174,
        0.962006,
        0.958811,
        0.955102,
        0.951518,
        0.949655,
        0.948543,
        0.951926,
        0.951242,
        0.948208,
        0.952899,
        0.950601,
        0.948606,
        0.956115,
        0.950597,
        0.952617,
        0.961897,
        0.959868,
        0.960901,
        0.964912,
        0.962885,
        0.964558,
        0.967593,
        0.969193,
        0.971852,
        0.970581,
        0.977053,
        0.980544,
        0.979992,
        0.980181,
        0.983662,
        0.989495,
        0.98729,
        0.992172,
        0.993612,
        0.994987,
        0.989423,
        1.00033,
        1.01313,
        1.01174,
        1.00866,
        1.00701,
        1.00632,
        1.00856,
        1.00834,
        1.00759,
        1.01113,
        1.01528,
        1.01427,
        1.01415,
        1.02387,
        1.02072,
        1.02676,
        1.02624,
        1.0285,
        1.03221,
        1.02877,
        1.02667,
        1.03115,
        1.03217,
        1.03052,
        1.03382,
        1.03086,
        1.03903,
        1.04107,
        1.03791,
        1.03631,
        1.03992,
        1.04007,
        1.04035,
        1.04057,
        1.03903,
        1.03763,
        1.0367,
        1.03569,
        1.03422,
        1.03492,
        1.03615,
        1.03058,
        1.02859,
        1.02945,
        1.02791,
        1.02563,
        1.0255,
        1.0246,
        1.02172,
        1.02124,
        1.02157,
        1.02008,
        1.02304,
        1.02051,
        1.01832,
        1.01362,
        1.01436,
        1.01438,
        1.01362,
        1.01144,
        1.00974,
        1.0078,
        1.01006,
        1.00478,
        1.01297,
        1.0039,
        1.00621,
        1.01129,
        1.00346,
        0.996984,
        0.998929,
        0.999621,
        0.995772,
        0.994638,
        0.991656,
        0.990201,
        0.991102,
        0.989446,
        0.987132,
        0.984954,
        0.987626,
        0.988774,
        0.987593,
        0.985453,
        0.98365,
        0.995187,
        1.00109,
        0.995211,
        0.998165,
        0.998063,
        1.00309,
        1.00106,
        0.999829,
        1.00536,
        1.01161,
        1.01543,
        1.0143,
        1.00964,
        1.01094,
        1.00276,
        1.00207,
        1.00825,
        1.00351,
        1.00252,
        1.00705,
        1.01144,
        1.01182,
        1.009,
        1.01245,
        1.01291,
        1.00867,
        1.00705,
        1.00917,
        1.00796,
        1.00768,
        1.00658,
        1.00524,
        1.00299,
        1.00186,
        1.00264,
        0.999437,
        0.997847,
        0.994527,
        0.996643,
        0.995434,
        0.987764,
        0.986632,
        0.989566,
        0.989765,
        0.988664,
        0.989083,
        0.986695,
        0.984989,
        0.983982,
        0.980324,
        0.975879,
        0.976755,
        0.978503,
        0.974648,
        0.974528,
        0.975892,
        0.977729,
        0.976428,
        0.972847,
        0.970032,
        0.965731,
        0.965497,
        0.963398,
        0.960482,
        0.962422,
        0.962275,
        0.958491,
        0.955373,
        0.955643,
        0.953897,
        0.949647,
        0.947,
        0.945445,
        0.945948,
        0.942327,
        0.941115,
        0.936582,
        0.944758,
        0.937077,
        0.932781,
        0.933542,
        0.933923,
        0.930147,
        0.927809,
        0.929402,
        0.930877,
        0.92954,
        0.921581,
        0.917398,
        0.920582,
        0.926022,
        0.923941,
        0.924238,
        0.922927,
        0.922084,
        0.924785,
        0.925737,
        0.92289,
        0.926891,
        0.936422,
        0.932575,
        0.930752,
        0.930937,
        0.930771,
        0.928809,
        0.929751,
        0.934355,
        0.939065,
        0.941242,
        0.94076,
        0.939716,
        0.943774,
        0.95206,
        0.955947,
        0.956124,
        0.959715,
        0.963088,
        0.966918,
        0.968368,
        0.973877,
        0.976379,
        0.972802,
        0.976356,
        0.986025,
        0.992369,
        1.00104,
        1.00446,
        0.996742,
        1.02043,
        1.01694,
        1.01712,
        1.01878,
        1.01645,
        1.01538,
        1.01963,
        1.02732,
        1.03071,
        1.02968,
        1.02727,
        1.0293,
        1.03567,
        1.04292,
        1.08262,
        1.09681,
        1.12395,
        1.13616,
        1.06922,
        0.84964,
        0.665524,
        0.761375,
        1.05071,
        1.23682,
        1.28904,
        1.32373,
        1.32372,
        1.31518,
        1.30866,
        1.29058,
        1.2675,
        1.24601,
        1.23022,
        1.21357,
        1.19252,
        1.17317,
        1.15485,
        1.14076,
        1.12747,
        1.1064,
        1.09429,
        1.08204,
        1.07772,
        1.09356,
        1.08037,
        1.05992,
        1.05798,
        1.05712,
        1.04992,
        1.05117,
        1.04792,
        1.0265,
        1.04303,
        1.03365,
        1.04998,
        1.05286,
        1.04824,
        1.04327,
        1.04004,
        1.03902,
        1.03691,
        1.03245,
        1.03191,
        1.02927,
        1.02547,
        1.0184,
        1.00326,
        0.9749,
        0.981402,
        1.00348,
        1.01143,
        1.01266,
        1.01597,
        1.01572,
        1.01287,
        1.01387,
        1.00977,
        1.00756,
        1.00456,
        1.00804,
        1.01194,
        1.00376,
        1.00103,
        0.998859,
        0.994552,
        0.996828,
        1.00136,
        0.998078,
        0.99969,
        1.00193,
        0.995718,
        1.00249,
        0.984707,
        0.986223,
        0.988043,
        0.983541,
        0.97832,
        0.97886,
        0.97754,
        0.971715,
        0.969788,
        0.971255,
        0.970982,
        0.968935,
        0.961055,
        0.949457,
        0.958706,
        0.959397,
        0.957966,
        0.955478,
        0.95248,
        0.949563,
        0.948694,
        0.94948,
        0.94652,
        0.943426,
        0.95118,
        0.953766,
        0.951391,
        0.941218,
        0.943665,
        0.947555,
        0.948456,
        0.945259,
        0.944533,
        0.949276,
        0.952277,
        0.950379,
        0.952133,
        0.952895,
        0.952225,
        0.947687,
        0.948565,
        0.948786,
        0.950563,
        0.952467,
        0.957101,
        0.959769,
        0.960565,
        0.964292,
        0.9684,
        0.96856,
        0.970276,
        0.972783,
        0.979445,
        0.979686,
        0.968844,
        0.971364,
        0.972857,
        0.972708,
        0.973782,
        0.973579,
        0.973226,
        0.975076,
        0.974189,
        0.971537,
        0.981834,
        0.980653,
        0.975855,
        0.977769,
        0.98026,
        0.982949,
        0.983301,
        0.982421,
        0.978033,
        0.975668,
        0.97845,
        0.977861,
        0.972024,
        0.97087,
        0.975121,
        0.971624,
        0.977099,
        0.97714,
        0.973273,
        0.974448,
        0.983162,
        0.980359,
        0.976468,
        0.978349,
        0.975798,
        0.972873,
        0.969975,
        0.967461,
        0.965062,
        0.964797,
        0.968357,
        0.962495,
        0.962634,
        0.96034,
        0.960098,
        0.96206,
        0.961775,
        0.962002,
        0.964471,
        0.963202,
        0.962993,
        0.963917,
        0.96701,
        0.959496,
        0.956207,
        0.966286,
        0.970874,
        0.970533,
        0.969664,
        0.973504,
        0.980592,
        0.985543,
        0.989144,
        0.995819,
        1.00443,
        1.01588,
        1.00839,
        1.00589,
        1.01365,
        1.00874,
        1.00867,
        1.00964,
        1.00978,
        1.00967,
        1.01006,
        1.01315,
        1.01819,
        1.01971,
        1.02271,
        1.02709,
        1.02887,
        1.02345,
        1.03018,
        1.03303,
        1.03049,
        1.03006,
        1.03436,
        1.03774,
        1.03898,
        1.04017,
        1.03897,
        1.0359,
        1.03726,
        1.04264,
        1.03968,
        1.04237,
        1.03976,
        1.04187,
        1.03588,
        1.03274,
        1.03233,
        1.03079,
        1.02815,
        1.02562,
        1.02427,
        1.02334,
        1.03682,
        1.03486,
        1.03423,
        1.02348,
        1.01902,
        1.02136,
        1.0148,
        1.01534,
        1.01535,
        1.01157,
        1.0105,
        1.01045,
        1.01396,
        1.01139,
        1.00969,
        1.00495,
        1.00094,
        1.00133,
        1.00433,
        1.00065,
        0.991581,
        0.989164,
        0.982158,
        0.980209,
        0.97789,
        0.973311,
        0.971426,
        0.969062,
        0.966454,
        0.965036,
        0.963018,
        0.95976,
        0.959162,
        0.95941,
        0.959681,
        0.957592,
        0.953196,
        0.951474,
        0.946566,
        0.948504,
        0.949071,
        0.945584,
        0.948368,
        0.94826,
        0.945201,
        0.947557,
        0.944065,
        0.943893,
        0.944657,
        0.943352,
        0.941878,
        0.942497,
        0.945487,
        0.947935,
        0.947411,
        0.945659,
        0.945178,
        0.949356,
        0.946431,
        0.937462,
        0.941351,
        0.944236,
        0.948302,
        0.94153,
        0.939743,
        0.939001,
        0.934604,
        0.934757,
        0.933828,
        0.926984,
        0.927532,
        0.927885,
        0.920374,
        0.914679,
        0.904854,
        0.903401,
        0.898674,
        0.918463,
        0.921643,
        0.926482,
        0.924014,
        0.927878,
        0.931983,
        0.937057,
        0.944976,
        0.949572,
        0.949671,
        0.952931,
        0.951714,
        0.950946,
        0.955867,
        0.959575,
        0.958831,
        0.961073,
        0.960783,
        0.960862,
        0.962793,
        0.95939,
        0.959926,
        0.961059,
        0.958553,
        0.957748,
        0.959405,
        0.957457,
        0.952815,
        0.952356,
        0.957979,
        0.962113,
        0.955619,
        0.944643,
        0.953204,
        0.949109,
        0.950735,
        0.950152,
        0.947622,
        0.950183,
        0.949842,
        0.948058,
        0.946929,
        0.953612,
        0.955877,
        0.949792,
        0.952168,
        0.950831,
        0.949415,
        0.949682,
        0.951835,
        0.976498,
        0.956593,
        0.949681,
        0.952174,
        0.958322,
        0.958704,
        0.959473,
        0.959001,
        0.960153,
        0.962825,
        0.963483,
        0.961692,
        0.968428,
        0.966393,
        0.963825,
        0.969831,
        0.970249,
        0.97238,
        0.974803,
        0.977782,
        0.978273,
        0.979702,
        0.984305,
        0.985936,
        0.985909,
        0.991096,
        0.996291,
        0.995597,
        0.994387,
        0.995714,
        0.996562,
        0.997175,
        0.999038,
        1.00364,
        1.00825,
        1.00953,
        1.01201,
        1.01203,
        1.00843,
        1.00547,
        1.01549,
        1.01402,
        1.01315,
        1.01693,
        1.01724,
        0.984481,
        0.824414,
        0.582405,
        0.5938,
        0.808734,
        0.965862,
        1.01262,
        1.02142,
        1.02415,
        1.0252,
        1.02802,
        1.03535,
        1.0217,
        1.03396,
        1.02941,
        1.01547,
        1.02524,
        1.02157,
        1.02503,
        1.02895,
        1.03111,
        1.03048,
        1.02703,
        1.02594,
        1.02305,
        1.0249,
        1.02343,
        1.02522,
        1.03695,
        1.04169,
        1.0288,
        1.04352,
        1.03623,
        1.03854,
        1.04112,
        1.04516,
        1.05066,
        1.05024,
        1.04922,
        1.05454,
        1.05502,
        1.04254,
        1.02044,
        0.971933,
        0.934418,
        0.973489,
        1.02997,
        1.05404,
        1.04865,
        1.03906,
        1.04364,
        1.03437,
        1.0266,
        1.0658,
        1.14622,
        1.15189,
        1.17537,
        1.19546,
        1.21482,
        1.24424,
        1.27522,
        1.29772,
        1.31124,
        1.32,
        1.32391,
        1.31344,
        1.28754,
        1.27265,
        1.25801,
        1.23582,
        1.22036,
        1.19696,
        1.18116,
        1.16517,
        1.14399,
        1.12826,
        1.11661,
        1.1064,
        1.09329,
        1.0836,
        1.07757,
        1.06905,
        1.05967,
        1.05499,
        1.05518,
        1.05234,
        1.04848,
        1.04488,
        1.04332,
        1.03728,
        1.0356,
        1.03208,
        1.03015,
        1.0287,
        1.02153,
        1.01986,
        1.02103,
        1.00518,
        0.99386,
        0.992574,
        0.988093,
        0.990503,
        0.997252,
        1.00201,
        0.983495,
        0.979252,
        0.976914,
        0.981641,
        0.985718,
        0.992911,
        0.99317,
        0.993224,
        0.991831,
        0.99703,
        1.00161,
        1.00591,
        1.00627,
        1.00509,
        1.00818,
        1.0113,
        1.01355,
        1.01973,
        1.02034,
        1.0118,
        1.0102,
        1.00562,
        1.01039,
        1.01037,
        1.00981,
        1.01035,
        1.01283,
        1.00959,
        1.01201,
        1.02799,
        1.02498,
        1.01747,
        1.01626,
        1.01121,
        1.01565,
        1.0211,
        1.01832,
        1.01946,
        1.02043,
        1.02019,
        1.01693,
        1.01616,
        1.01773,
        1.01439,
        1.01051,
        1.0063,
        1.01326,
        1.01178,
        0.999709,
        1.00104,
        1.00825,
        1.01023,
        1.01046,
        1.0084,
        1.01137,
        1.01503,
        1.01596,
        1.01372,
        1.01154,
        1.00873,
        1.01037,
        1.00723,
        1.00359,
        1.01077,
        1.01475,
        1.0064,
        1.00761,
        1.00327,
        1.0021,
        1.00371,
        1.00162,
        1.00127,
        1.0042,
        1.01089,
        1.00806,
        1.00402,
        1.00663,
        1.01604,
        0.999711,
        1.01356,
        1.0096,
        1.00875,
        1.00801,
        1.01024,
        1.01062,
        1.00955,
        1.00592,
        1.0053,
        1.00693,
        1.0056,
        1.00185,
        1.00311,
        1.01073,
        1.01121,
        1.00864,
        1.01415,
        1.0165,
        1.00839,
        1.01528,
        1.01588,
        1.01801,
        1.01441,
        1.01273,
        1.01579,
        1.01472,
        1.00836,
        1.00367,
        1.00849,
        1.01688,
        1.01355,
        1.01001,
        1.01562,
        1.00975,
        1.01831,
        1.01843,
        1.02009,
        1.02044,
        1.02199,
        1.02546,
        1.02672,
        1.02665,
        1.02841,
        1.02097,
        1.01351,
        1.01532,
        1.01646,
        1.01572,
        1.0203,
        1.02067,
        1.00999,
        0.999071,
        1.00102,
        0.979017,
        0.982271,
        0.988183,
        0.992228,
        0.994328,
        0.991951,
        0.99498,
        1.00843,
        1.01433,
        1.00974,
        1.01422,
        1.0159,
        1.01669,
        1.01357,
        1.01862,
        1.03038,
        1.0267,
        1.02715,
        1.02275,
        1.02026,
        1.0281,
        1.03508,
        1.03075,
        1.0295,
        1.02317,
        1.02298,
        1.02697,
        1.02959,
        1.03308,
        1.03168,
        1.03186,
        1.03068,
        1.02873,
        1.02809,
        1.02925,
        1.02793,
        1.02811,
        1.01961,
        1.01561,
        1.02183,
        1.02263,
        1.00712,
        1.00384,
        1.00143,
        0.998608,
        0.999603,
        1.00396,
        1.00393,
        0.999586,
        0.998165,
        0.997145,
        0.994103,
        0.989998,
        0.988515,
        0.990425,
        0.986385,
        0.976831,
        0.978812,
        0.974619,
        0.973537,
        0.969773,
        0.964416,
        0.963223,
        0.962861,
        0.961307,
        0.961714,
        0.961441,
        0.957006,
        0.95326,
        0.953244,
        0.949113,
        0.948707,
        0.950247,
        0.95138,
        0.955318,
        0.953851,
        0.955667,
        0.957045,
        0.955904,
        0.951132,
        0.950131,
        0.946802,
        0.945323,
        0.94536,
        0.949265,
        0.943055,
        0.951137,
        0.951097,
        0.945338,
        0.943201,
        0.943984,
        0.943833,
        0.945821,
        0.947541,
        0.948087,
        0.955949,
        0.945333,
        0.946409,
        0.947019,
        0.946406,
        0.951024,
        0.951178,
        0.949165,
        0.942925,
        0.940757,
        0.945939,
        0.942684,
        0.942544,
        0.94745,
        0.949688,
        0.94962,
        0.951018,
        0.954752,
        0.954035,
        0.954801,
        0.954376,
        0.958359,
        0.963765,
        0.967591,
        0.970037,
        0.968943,
        0.966021,
        0.975814,
        0.974126,
        0.97309,
        0.977928,
        0.978722,
        0.980941,
        0.986134,
        0.983551,
        0.982773,
        0.983422,
        0.984601,
        0.98773,
        0.987944,
        0.989773,
        0.99585,
        1.00158,
        1.00176,
        0.988721,
        0.998172,
        1.00205,
        0.998427,
        1.0003,
        1.00272,
        1.00443,
        1.00517,
        1.00586,
        1.00358,
        1.00244,
        1.0014,
        1.0014,
        1.00024,
        1.00235,
        1.00056,
        0.998409,
        1.00159,
        0.996092,
        0.996618,
        0.999396,
        0.996807,
        0.99256,
        0.998406,
        0.992323,
        0.992766,
        0.990074,
        0.988098,
        0.989037,
        0.994704,
        0.996857,
        1.00575,
        0.996851,
        0.991978,
        0.995547,
        0.998555,
        0.994603,
        0.992772,
        0.986466,
        0.990066,
        0.990291,
        0.985713,
        0.977509,
        0.975906,
        0.974243,
        0.973958,
        0.972968,
        0.974171,
        0.974926,
        0.971457,
        0.973731,
        0.969872,
        0.970138,
        0.966402,
        0.965998,
        0.968998,
        0.966245,
        0.963662,
        0.953382,
        0.909487,
        0.862638,
        0.876231,
        0.928614,
        0.950789,
        0.95534,
        0.959745,
        0.956945,
        0.968306,
        0.964696,
        0.96218,
        0.963439,
        0.967276,
        0.967438,
        0.968734,
        0.969641,
        0.968952,
        0.973001,
        0.976865,
        0.980357,
        0.980753,
        0.983367,
        0.988137,
        0.990638,
        0.99163,
        0.994302,
        0.996432,
        1.0002,
        1.00192,
        0.999902,
        0.999114,
        0.998833,
        1.00035,
        1.00311,
        0.999779,
        1.01385,
        1.00995,
        1.00697,
        1.00484,
        1.00939,
        1.01047,
        1.01145,
        1.01088,
        1.00639,
        1.00655,
        1.00992,
        1.00787,
        1.00916,
        1.01118,
        1.00648,
        1.00444,
        1.00714,
        1.00643,
        1.00687,
        1.01325,
        1.01877,
        1.01656,
        1.02091,
        1.01878,
        1.02095,
        1.02644,
        1.0276,
        1.03524,
        1.03233,
        1.03689,
        1.04169,
        1.04407,
        1.0476,
        1.0505,
        1.05325,
        1.05807,
        1.05435,
        1.0566,
        1.06328,
        1.0601,
        1.05835,
        1.06018,
        1.06063,
        1.05146,
        1.05403,
        1.10045,
        1.11004,
        1.12663,
        1.14472,
        1.16085,
        1.17624,
        1.1973,
        1.2215,
        1.23381,
        1.25526,
        1.28447,
        1.30999,
        1.32834,
        1.33585,
        1.33243,
        1.31551,
        1.29843,
        1.2777,
        1.25451,
        1.23073,
        1.21631,
        1.19646,
        1.17191,
        1.15375,
        1.14015,
        1.12312,
        1.10357,
        1.08823,
        1.07692,
        1.06313,
        1.05071,
        1.05219,
        1.04291,
        1.03539,
        1.03111,
        1.02199,
        1.01974,
        1.01987,
        1.01618,
        1.01461,
        1.01387,
        1.00322,
        0.997642,
        0.99484,
        0.993643,
        0.997334,
        0.994397,
        0.989704,
        0.979588,
        0.989879,
        0.984636,
        0.979461,
        0.975465,
        0.972311,
        0.971783,
        0.971842,
        0.968032,
        0.963592,
        0.967569,
        0.967556,
        0.9683,
        0.968701,
        0.969419,
        0.972284,
        0.974486,
        0.975533,
        0.976056,
        0.974983,
        0.977986,
        0.978491,
        0.981576,
        0.979733,
        0.982875,
        0.980336,
        0.980348,
        0.978383,
        0.980466,
        0.983039,
        0.984523,
        0.984825,
        0.988828,
        0.988398,
        0.988473,
        0.985291,
        0.992679,
        1.00509,
        1.00655,
        1.00143,
        0.999747,
        1.00357,
        1.00536,
        1.00233,
        1.00211,
        1.00935,
        1.00598,
        1.00318,
        1.00357,
        1.00641,
        1.00291,
        1.00751,
        1.0021,
        1.00094,
        1.00185,
        1.01538,
        1.01715,
        1.01456,
        1.01261,
        1.01073,
        1.00828,
        1.00997,
        1.01215,
        1.01105,
        1.0084,
        1.0081,
        1.00302,
        1.00472,
        1.00548,
        0.998876,
        0.998531,
        1.00456,
        0.998622,
        0.983816,
        0.991193,
        0.993661,
        0.992672,
        0.991156,
        0.992499,
        0.981658,
        0.981383,
        0.978762,
        0.977338,
        0.978603,
        0.976423,
        0.973651,
        0.973162,
        0.969359,
        0.965776,
        0.968383,
        0.972532,
        0.975722,
        0.975239,
        0.964947,
        0.975119,
        0.971349,
        0.970112,
        0.966353,
        0.968693,
        0.994232,
        null,
        1.012,
        1.01353,
        1.00909,
        1.01091,
        1.01964,
        1.02282,
        1.02938,
        1.03046,
        1.02717,
        1.02738,
        1.02393,
        1.02584,
        1.02953,
        1.02677,
        1.02792,
        1.0284,
        1.02876,
        1.02672,
        1.02904,
        1.02896,
        1.02901,
        1.0252,
        1.02234,
        1.0169,
        1.02119,
        1.01661,
        1.01383,
        1.01649,
        1.01603,
        1.00993,
        1.01427,
        1.01428,
        1.01123,
        1.01,
        1.00489,
        1.00145,
        0.99332,
        0.990754,
        0.98975,
        0.983642,
        0.991224,
        0.990591,
        0.98212,
        0.991632,
        0.998115,
        0.996794,
        0.986098,
        0.987635,
        0.98573,
        0.985996,
        0.984143,
        0.98405,
        0.979212,
        0.976094,
        0.973859,
        0.971854,
        0.969395,
        0.969954,
        0.973958,
        0.975163,
        0.978727,
        0.978832,
        0.976561,
        0.978348,
        0.97971,
        0.986269,
        0.995845,
        0.986372,
        0.98988,
        0.993154,
        0.99147,
        1.00057,
        1.00964,
        1.00926,
        1.00178,
        0.995887,
        1.00058,
        1.00417,
        1.00804,
        1.00617,
        1.00449,
        1.00438,
        1.00838,
        1.00936,
        1.01076,
        1.01164,
        1.0123,
        1.00824,
        1.00461,
        1.00687,
        1.0079,
        1.00683,
        1.00417,
        1.00583,
        1.01015,
        1.01357,
        1.01108,
        1.01435,
        1.01281,
        1.0096,
        1.00938,
        1.01555,
        1.01849,
        1.01821,
        1.01943,
        1.02894,
        1.02795,
        1.02952,
        1.02377,
        1.02004,
        1.02082,
        1.02332,
        1.02364,
        1.02514,
        1.02304,
        1.03081,
        1.04061,
        1.03497,
        1.03629,
        1.03314,
        1.03328,
        1.03151,
        1.02517,
        1.01304,
        0.949849,
        0.8463,
        0.872344,
        0.987755,
        1.03214,
        1.03277,
        1.0379,
        1.03654,
        1.03678,
        1.03754,
        1.03396,
        1.03157,
        1.03526,
        1.03593,
        1.03511,
        1.03141,
        1.03431,
        1.03228,
        1.03092,
        1.02552,
        1.02532,
        1.02512,
        1.0276,
        1.02576,
        1.02649,
        1.02547,
        1.02851,
        1.02906,
        1.02591,
        1.02712,
        1.02811,
        1.02589,
        1.02587,
        1.03239,
        1.03662,
        1.03167,
        1.02493,
        1.02152,
        1.01821,
        1.01601,
        1.01907,
        1.03278,
        1.03065,
        1.0163,
        1.02148,
        1.03051,
        1.02197,
        1.01842,
        1.01704,
        1.01407,
        1.01389,
        1.01253,
        1.00407,
        1.00417,
        1.00256,
        1.01388,
        1.00745,
        1.00591,
        1.01009,
        1.00963,
        1.00761,
        1.00451,
        1.00168,
        1.00102,
        0.997761,
        0.994571,
        0.996934,
        0.998948,
        1.00153,
        1.00108,
        0.999427,
        0.996621,
        0.991235,
        1.01418,
        0.989219,
        1.00694,
        1.00587,
        0.997511,
        0.999523,
        1.00026,
        0.991759,
        0.993709,
        0.995567,
        0.99208,
        0.991952,
        0.98934,
        0.986781,
        0.989058,
        0.990205,
        0.988866,
        0.984135,
        0.979743,
        0.986217,
        0.994576,
        0.990733,
        0.985678,
        0.98647,
        0.985166,
        0.986845,
        0.984255,
        0.990787,
        0.985262,
        0.9821,
        0.968233,
        0.987134,
        0.98495,
        0.980892,
        0.988803,
        0.98353,
        0.983736,
        0.98334,
        0.977887,
        0.975224,
        0.975379,
        0.974275,
        0.973122,
        0.970372,
        0.970159,
        0.978371,
        0.978641,
        0.972869,
        0.972624,
        0.97037,
        0.967619,
        0.964207,
        0.961216,
        0.963047,
        0.96475,
        0.962617,
        0.957491,
        0.95309,
        0.957813,
        0.956042,
        0.956814,
        0.953773,
        0.960407,
        0.959859,
        0.955616,
        0.950522,
        0.95283,
        0.956687,
        0.957954,
        0.952929,
        0.952188,
        0.949689,
        0.94904,
        0.946366,
        0.942314,
        0.940062,
        0.947942,
        0.95232,
        0.9461,
        0.946894,
        0.948225,
        0.949822,
        0.952482,
        0.951046,
        0.955483,
        0.960477,
        0.965014,
        0.974426,
        0.968355,
        0.970068,
        0.979942,
        0.986528,
        0.986642,
        0.984025,
        0.983234,
        0.980732,
        0.979561,
        0.987733,
        0.992391,
        0.990319,
        0.99577,
        1.00167,
        1.00798,
        1.01282,
        1.0182,
        1.00969,
        1.01356,
        1.02023,
        1.0137,
        1.01414,
        1.01976,
        1.08175,
        1.09605,
        1.10172,
        1.12211,
        1.13176,
        1.15871,
        1.17134,
        1.20324,
        1.21472,
        1.23213,
        1.26894,
        1.32434,
        1.32548,
        1.32332,
        1.31645,
        1.30126,
        1.28675,
        1.2628,
        1.24127,
        1.22556,
        1.20065,
        1.17783,
        1.16209,
        1.14376,
        1.12827,
        1.11827,
        1.10268,
        1.09002,
        1.07182,
        1.06185,
        1.06159,
        1.04745,
        1.02446,
        1.0292,
        null,
        1.05719,
        1.05735,
        1.04859,
        1.05615,
        1.04874,
        1.03979,
        1.03556,
        1.02479,
        1.01882,
        1.01333,
        0.998156,
        0.99178,
        0.987163,
        0.968358,
        0.957593,
        0.954453,
        0.949357,
        0.957924,
        0.969703,
        0.960923,
        0.957538,
        0.966103,
        0.971112,
        0.986127,
        0.988109,
        0.998189,
        1.00885,
        1.01509,
        1.02146,
        1.02767,
        1.03317,
        1.03461,
        1.0352,
        1.02882,
        1.03023,
        1.03412,
        1.03447,
        1.03088,
        1.02503,
        1.02511,
        1.0293,
        1.02971,
        1.02689,
        1.02562,
        1.0298,
        1.03486,
        1.03449,
        1.03228,
        1.03361,
        1.04936,
        1.03593,
        1.03275,
        1.03245,
        1.03837,
        1.0444,
        1.04,
        1.03683,
        1.0513,
        1.04685,
        1.04564,
        1.04781,
        1.04339,
        1.04522,
        1.0464,
        1.04554,
        1.04724,
        1.04785,
        1.04797,
        1.05442,
        1.06164,
        1.06654,
        1.06846,
        1.06642,
        1.06583,
        1.07168,
        1.07928,
        1.07834,
        1.07601,
        1.07609,
        1.07668,
        1.07615,
        1.07232,
        1.07785,
        1.08341,
        1.08094,
        1.07988,
        1.07337,
        1.07458,
        1.07671,
        1.0778,
        1.07781,
        1.06992,
        1.06561,
        1.07735,
        1.07648,
        1.06819,
        1.0752,
        1.07142,
        1.08,
        1.08394,
        1.08516,
        1.07787,
        1.06721,
        1.06501,
        1.0771,
        1.07189,
        1.0717,
        1.06906,
        1.06326,
        1.06102,
        1.04963,
        1.04465,
        1.04456,
        1.04738,
        1.04501,
        1.04143,
        1.04108,
        1.04068,
        1.04036,
        1.03959,
        1.03779,
        1.03945,
        1.03633,
        1.03167,
        1.02794,
        1.03136,
        1.02674,
        1.0285,
        1.03637,
        1.03546,
        1.03291,
        1.0426,
        1.03038,
        1.01493,
        1.02281,
        1.02525,
        1.01997,
        1.01883,
        1.02006,
        1.01522,
        1.02861,
        1.02351,
        1.01703,
        1.01624,
        1.01259,
        0.981585,
        0.791407,
        0.610602,
        0.689036,
        0.88941,
        0.986795,
        1.01201,
        1.0117,
        1.00697,
        1.0041,
        1.00619,
        1.00194,
        1.00315,
        1.01053,
        1.01732,
        1.00962,
        1.02369,
        1.01257,
        1.00716,
        1.01227,
        1.00059,
        0.995332,
        0.997953,
        0.999004,
        1.00989,
        1.01521,
        1.00003,
        0.967771,
        0.93992,
        0.947794,
        0.976234,
        0.992786,
        0.989142,
        0.986146,
        0.984239,
        0.987883,
        0.98763,
        0.988411,
        0.985795,
        0.987454,
        0.981829,
        0.982353,
        0.980392,
        0.972014,
        0.963396,
        0.96417,
        0.961284,
        0.963138,
        0.963199,
        0.961363,
        0.960757,
        0.963247,
        0.963955,
        0.964833,
        0.961994,
        0.961674,
        0.959313,
        0.961451,
        0.953853,
        0.957097,
        0.956608,
        0.954487,
        0.950527,
        0.94743,
        0.944943,
        0.942537,
        0.945578,
        0.946332,
        0.943389,
        0.950071,
        0.952009,
        0.952605,
        0.949446,
        0.951583,
        0.953571,
        0.955516,
        0.953886,
        0.952845,
        0.950201,
        0.951158,
        0.955933,
        0.94877,
        0.95879,
        0.970633,
        0.95593,
        0.948932,
        0.951094,
        0.953855,
        0.957779,
        0.957662,
        0.954623,
        0.961973,
        0.96852,
        0.966002,
        0.98012,
        0.988129,
        0.976933,
        0.972952,
        0.963988,
        0.963485,
        0.96056,
        0.962551,
        0.963299,
        0.964024,
        0.964424,
        0.967828,
        0.965867,
        0.965507,
        0.969124,
        0.973704,
        0.975863,
        0.968753,
        0.970345,
        0.973047,
        0.968804,
        0.974436,
        0.974454,
        0.975168,
        0.972576,
        0.970797,
        0.964558,
        0.962497,
        0.961311,
        0.958156,
        0.944371,
        null,
        1.01715,
        1.02126,
        1.04085,
        1.05849,
        1.06397,
        1.07043,
        1.08198,
        1.09616,
        1.09764,
        1.09812,
        1.09686,
        1.10348,
        1.09785,
        1.09462,
        1.08304,
        1.07492,
        1.0778,
        1.06863,
        1.06044,
        1.08477,
        1.05784,
        1.04579,
        1.04615,
        1.04565,
        1.03195,
        1.03548,
        1.03641,
        1.03851,
        1.03315,
        1.07657,
        1.05945,
        1.05351,
        1.04327,
        1.02976,
        1.04284,
        1.04023,
        1.04007,
        1.03201,
        1.03125,
        1.03232,
        1.04252,
        1.01718,
        1.02836,
        1.0278,
        1.02315,
        1.02014,
        1.02027,
        1.02102,
        1.02835,
        1.01433,
        1.01871,
        1.0136,
        1.01693,
        1.0173,
        1.02128,
        1.01925,
        1.02738,
        1.02025,
        1.02462,
        1.01975,
        1.0242,
        1.0163,
        1.01369,
        1.00436,
        1.01241,
        1.00188,
        1.01081,
        1.00348,
        1.01493,
        1.02807,
        1.02215,
        1.00832,
        1.00873,
        1.00473,
        1.01551,
        1.015,
        1.01715,
        1.02053,
        1.02859,
        1.03149,
        1.03387,
        1.03037,
        1.03912,
        1.03648,
        1.03461,
        1.03203,
        1.04085,
        1.03702,
        1.0405,
        1.03396,
        1.0481,
        1.05298,
        1.0526,
        1.05425,
        1.05207,
        1.05773,
        1.06863,
        1.06497,
        1.08124,
        1.06932,
        1.0698,
        1.07443,
        1.08566,
        1.08749,
        1.09945,
        1.10313,
        1.10924,
        1.11788,
        1.15088,
        1.16535,
        1.16319,
        1.17823,
        1.19242,
        1.20513,
        1.22505,
        1.24503,
        1.25577,
        1.27992,
        1.30787,
        1.34395,
        1.36117,
        1.38242,
        1.39133,
        1.39088,
        1.38211,
        1.37144,
        1.34604,
        1.32872,
        1.30565,
        1.28117,
        1.26345,
        1.24959,
        1.22431,
        1.21461,
        1.20846,
        1.18008,
        1.17034,
        1.17214,
        1.1679,
        1.15022,
        1.1435,
        1.1447,
        1.12208,
        1.1098,
        1.10827,
        1.10827,
        1.10365,
        1.10049,
        1.09742,
        1.09694,
        1.09717,
        1.09903,
        1.09278,
        1.08874,
        1.08771,
        1.08932,
        1.08103,
        1.08655,
        1.08697,
        1.08625,
        1.09033,
        1.08513,
        1.07653,
        1.06991,
        1.08723,
        1.08483,
        1.08038,
        1.07954,
        1.07993,
        1.07727,
        1.07486,
        1.0725,
        1.07495,
        1.07927,
        1.08421,
        1.08894,
        1.09165,
        1.08556,
        1.079,
        1.07497,
        1.0769,
        1.08033,
        1.08012,
        1.08274,
        1.08663,
        1.08141,
        1.07882,
        1.08223,
        1.07752,
        1.07525,
        1.07643,
        1.07138,
        1.06971,
        1.06896,
        1.07094,
        1.06789,
        1.07545,
        1.0811,
        1.08833,
        1.09606,
        1.10232,
        1.09749,
        1.09524,
        1.08706,
        1.08055,
        1.07777,
        1.07791,
        1.08286,
        1.07878,
        1.07009,
        1.07363,
        1.07418,
        1.07223,
        1.06967,
        1.07058,
        1.07131,
        1.06928,
        1.06896,
        1.0723,
        1.07018,
        1.07014,
        1.05373,
        1.05121,
        1.05692,
        1.06054,
        1.05914,
        1.05342,
        1.0522,
        1.05304,
        1.04949,
        1.04814,
        1.04492,
        1.04623,
        1.0483,
        1.04939,
        1.04923,
        1.0495,
        1.04998,
        1.05532,
        1.04621,
        1.05392,
        1.05767,
        1.05857,
        1.05466,
        1.05114,
        1.05284,
        1.05553,
        null,
        1.00747,
        1.01699,
        1.0461,
        1.04149,
        1.03345,
        1.03251,
        1.00766,
        0.937491,
        0.923655,
        0.986486,
        1.02712,
        1.029,
        1.03184,
        1.03152,
        1.03118,
        1.0205,
        1.01714,
        1.01922,
        1.02154,
        1.01825,
        1.01747,
        1.02274,
        1.01561,
        1.00802,
        1.00914,
        1.00886,
        1.01303,
        1.0022,
        0.996645,
        1.00747,
        1.01363,
        1.00699,
        1.00945,
        1.00708,
        1.00698,
        1.00136,
        1.00129,
        0.997409,
        1.0008,
        1.00145,
        1.00558,
        1.00088,
        1.00314,
        0.999152,
        0.995971,
        0.993201,
        0.994104,
        0.990632,
        0.9927,
        0.993167,
        0.989611,
        0.985243,
        0.989385,
        0.983634,
        0.98257,
        0.976917,
        0.979138,
        0.978431,
        0.976694,
        0.97815,
        0.974306,
        0.970235,
        0.987435,
        0.97933,
        0.981951,
        0.980453,
        0.977652,
        0.970837,
        0.972842,
        0.969924,
        0.968352,
        0.963028,
        0.965655,
        0.965882,
        0.972148,
        0.959145,
        0.968301,
        0.968034,
        0.967711,
        0.962443,
        0.963822,
        0.955933,
        0.957445,
        0.9555,
        0.957465,
        0.954599,
        0.960032,
        0.953686,
        0.960141,
        0.963021,
        0.955779,
        0.949046,
        0.94846,
        0.944451,
        0.943585,
        0.946625,
        0.954877,
        0.947524,
        0.946736,
        0.946494,
        0.94472,
        0.946683,
        0.949785,
        0.946398,
        0.945457,
        0.939766,
        0.951836,
        0.946935,
        0.984002,
        0.962817,
        0.951066,
        0.941745,
        0.945065,
        0.947099,
        0.945741,
        0.938739,
        0.938978,
        0.937607,
        0.939851,
        0.941899,
        0.943239,
        0.942646,
        0.945615,
        0.944988,
        0.945546,
        0.943856,
        0.94431,
        0.940951,
        0.942282,
        0.942836,
        0.942711,
        0.937701,
        0.943372,
        0.953019,
        0.955888,
        0.952895,
        0.944706,
        0.943173,
        0.944509,
        0.947524,
        0.944657,
        0.949969,
        0.957616,
        0.95854,
        0.955321,
        0.955513,
        0.955858,
        0.962722,
        0.964587,
        0.965516,
        0.960858,
        0.964897,
        0.963882,
        0.96196,
        0.965954,
        0.972519,
        0.965237,
        0.976893,
        0.974175,
        0.976936,
        0.978511,
        0.975756,
        0.974751,
        0.978196,
        0.977958,
        0.976546,
        0.975796,
        0.980056,
        0.982148,
        0.984004,
        0.984948,
        0.987071,
        0.983026,
        0.987194,
        0.984294,
        0.989181,
        0.988141,
        0.989599,
        0.989258,
        0.990481,
        0.990719,
        0.993133,
        0.986417,
        0.99583,
        0.996684,
        0.995129,
        0.994929,
        0.997919,
        0.993332,
        0.99491,
        0.996359,
        0.997752,
        0.994122,
        0.997136,
        0.993804,
        1.00186,
        1.00259,
        1.00361,
        1.00598,
        1.00904,
        1.00882,
        1.01144,
        1.01301,
        1.02098,
        1.02468,
        1.02578,
        1.03269,
        1.02517,
        1.02242,
        1.02653,
        1.02896,
        1.03447,
        1.03814,
        1.04024,
        1.044,
        1.05261,
        1.0518,
        1.05141,
        1.04897,
        1.04825,
        1.04946,
        1.05563,
        1.05543,
        1.05733,
        1.06057,
        1.05997,
        1.05888,
        1.05968,
        1.06226,
        1.06296,
        1.06947,
        1.06741,
        1.07546,
        1.07676,
        1.07114,
        1.06558,
        1.06741,
        1.06767,
        1.066,
        1.06778,
        1.06574,
        1.06663,
        1.06341,
        1.05766,
        1.06581,
        1.06574,
        1.06435,
        1.05875,
        1.06452,
        1.06292,
        1.05761,
        1.05527,
        1.06165,
        1.05991,
        1.05627,
        1.0624,
        1.06357,
        1.06047,
        1.07499,
        1.06056,
        1.06018,
        1.05794,
        1.05782,
        1.07646,
        1.06936,
        1.05578,
        1.05727,
        1.05482,
        1.0545,
        1.05313,
        1.05166,
        1.04935,
        1.06141,
        1.06437,
        1.057,
        1.05472,
        1.06158,
        1.06502,
        1.05671,
        1.0513,
        1.04481,
        1.04917,
        1.04506,
        1.039,
        1.03609,
        1.03771,
        1.03567,
        1.03055,
        1.02591,
        1.04376,
        1.04323,
        1.04765,
        1.0461,
        1.04709,
        1.04599,
        1.04581,
        1.04412,
        1.04815,
        1.05021,
        1.05301,
        1.05318,
        1.05425,
        1.05974,
        1.06017,
        1.05771,
        1.05749,
        1.06211,
        1.07093,
        1.073,
        1.07561,
        1.07785,
        1.08326,
        1.08357,
        1.08304,
        1.0868,
        1.08654,
        1.08078,
        1.08738,
        1.14201,
        1.13659,
        1.1348,
        1.13387,
        1.14443,
        1.14599,
        1.16319,
        1.18375,
        1.19497,
        1.21367,
        1.23575,
        1.23331,
        1.2557,
        1.25581,
        1.29822,
        1.36799,
        1.37398,
        1.3638,
        1.35518,
        1.32301,
        1.30782,
        1.28767,
        1.26285,
        1.24208,
        1.21971,
        1.20244,
        1.20015,
        1.17972,
        1.16294,
        1.15335,
        1.14323,
        1.12529,
        1.11635,
        1.10976,
        1.09469,
        1.08544,
        1.0803,
        1.07932,
        1.07484,
        1.0732,
        1.06503,
        1.06585,
        1.06289,
        1.05873,
        1.05733,
        1.05584,
        1.04857,
        1.05223,
        1.04734,
        1.03888,
        1.0379,
        1.03481,
        1.0283,
        1.03109,
        1.02276,
        1.0263,
        1.01837,
        1.02096,
        1.02517,
        1.02221,
        1.02375,
        1.02533,
        1.02757,
        1.02828,
        1.03118,
        1.03891,
        1.04009,
        1.03972,
        1.03812,
        1.03908,
        1.03932,
        1.04069,
        1.04276,
        1.04339,
        1.04618,
        1.04682,
        1.04564,
        1.04879,
        1.05108,
        1.05181,
        1.05789,
        1.06033,
        1.06616,
        1.05524,
        1.05757,
        1.07443,
        1.07402,
        1.07553,
        1.07802,
        1.0677,
        1.07088,
        1.06401,
        1.07193,
        1.08525,
        1.07188,
        1.07084,
        1.06842,
        1.07047,
        1.07616,
        1.06751,
        1.06289,
        1.06783,
        1.06509,
        1.06356,
        1.07499,
        1.07289,
        1.06687,
        1.07137,
        1.07464,
        1.07532,
        1.08299,
        1.08957,
        1.0874,
        1.07774,
        1.08231,
        1.08591,
        1.08376,
        1.08374,
        1.07911,
        1.07151,
        1.06378,
        1.05849,
        1.05655,
        1.05397,
        1.0476,
        1.04111,
        1.03767,
        1.03736,
        1.03902,
        1.03934,
        1.04012,
        1.03865,
        1.03655,
        1.03965,
        1.03722,
        1.01998,
        1.01736,
        1.02118,
        1.02178,
        1.03626,
        0.993601,
        1.00123,
        0.993467,
        0.989385,
        0.987399,
        0.985843,
        0.986967,
        0.997171,
        0.987029,
        0.976846,
        0.977615,
        0.978855,
        0.976471,
        0.973276,
        0.965146,
        0.96947,
        0.966712,
        0.962073,
        0.971294,
        0.974477,
        0.964296,
        0.963423,
        0.960522,
        0.970451,
        0.972048,
        0.973509,
        0.967335,
        0.96918,
        0.97438,
        0.978121,
        0.982181,
        0.980633,
        0.986523,
        0.985286,
        0.983236,
        0.98776,
        0.992456,
        0.992573,
        0.993982,
        0.99528,
        0.993567,
        0.994262,
        0.996427,
        0.998806,
        1.00213,
        1.00089,
        1.0038,
        1.0044,
        1.0017,
        1.00888,
        1.015,
        1.01352,
        1.01011,
        1.01162,
        1.01327,
        1.01688,
        1.01959,
        1.01855,
        1.01879,
        1.01759,
        1.02055,
        1.01877,
        1.01316,
        1.0128,
        1.01562,
        1.02005,
        1.02033,
        1.0209,
        1.01673,
        1.0239,
        1.01561,
        1.01887,
        1.01317,
        1.01628,
        1.02536,
        1.01403,
        1.01547,
        1.02641,
        1.01586,
        1.02234,
        1.02357,
        1.02164,
        1.0311,
        1.02614,
        1.02763,
        1.02079,
        1.01452,
        1.01546,
        1.00375,
        1.01045,
        1.00992,
        1.01171,
        1.01091,
        1.01474,
        1.01611,
        1.01191,
        1.01006,
        1.00859,
        1.00429,
        1.00452,
        1.00804,
        1.00435,
        1.00284,
        1.00478,
        0.998984,
        0.995347,
        1.00595,
        1.00906,
        1.00613,
        1.00166,
        1.0079,
        1.0156,
        1.00892,
        1.00654,
        1.01046,
        1.01324,
        1.01435,
        1.01188,
        1.01628,
        1.02044,
        1.02066,
        1.02134,
        1.01812,
        1.01573,
        1.0165,
        1.01777,
        1.01484,
        1.01255,
        1.01235,
        1.01492,
        1.00961,
        1.00721,
        1.00465,
        1.00528,
        1.0129,
        1.01362,
        1.01609,
        0.997856,
        1.00576,
        1.0266,
        1.0248,
        1.0174,
        1.02261,
        1.01178,
        1.02076,
        1.02279,
        1.0234,
        1.02199,
        1.02284,
        1.01485,
        1.01515,
        1.02762,
        1.02182,
        1.01507,
        1.00819,
        1.01157,
        1.02166,
        1.01906,
        1.01215,
        1.00058,
        1.00729,
        1.01802,
        1.00882,
        1.00912,
        1.01224,
        1.0114,
        1.01333,
        1.0115,
        1.00467,
        1.00814,
        1.01344,
        1.00962,
        1.01085,
        1.00202,
        1.00815,
        0.990595,
        1.0195,
        1.03315,
        1.03443,
        1.03591,
        1.0349,
        1.02563,
        1.00617,
        1.03056,
        1.03475,
        1.02899,
        1.02333,
        1.02967,
        1.03501,
        1.02748,
        1.03294,
        1.01852,
        1.04226,
        1.03611,
        1.0383,
        1.03368,
        1.03651,
        1.04439,
        1.04221,
        1.03976,
        1.03605,
        1.02435,
        1.0267,
        1.02686,
        1.0321,
        1.02822,
        1.0255,
        1.03976,
        1.03509,
        1.03352,
        1.03012,
        1.06233,
        1.03982,
        1.04478,
        1.03519,
        1.04287,
        1.05269,
        1.02169,
        1.03527,
        1.04282,
        1.04428,
        1.03292,
        1.04678,
        1.04246,
        1.04281,
        1.02431,
        1.00721,
        null,
        1.07633,
        1.06271,
        1.04437,
        1.06151,
        1.06307,
        1.0579,
        1.0356,
        1.02084,
        null,
        1.0514,
        1.06392,
        1.06365,
        1.04686,
        1.05611,
        1.04646,
        1.04579,
        1.04899,
        1.0441,
        1.04093,
        1.04059,
        1.04017,
        1.0423,
        1.03669,
        1.03494,
        1.03284,
        1.031,
        1.02864,
        1.02559,
        1.02231,
        1.01659,
        1.01704,
        1.02027,
        1.01668,
        1.00914,
        1.0135,
        1.01091,
        0.999348
    ],
    "flux_error": [
        0.00476231,
        0.00419191,
        0.0036215,
        0.0030511,
        0.00260793,
        0.00245756,
        0.00253144,
        0.00243436,
        0.00270029,
        0.00304529,
        0.00297785,
        0.0025092,
        0.00202903,
        0.00176122,
        0.00178862,
        0.00174754,
        0.00169421,
        0.00173172,
        0.00180016,
        0.00180002,
        0.00176175,
        0.00168882,
        0.00166691,
        0.00172261,
        0.00175707,
        0.00177132,
        0.00175607,
        0.00162519,
        0.00164488,
        0.00166904,
        0.0016377,
        0.00164735,
        0.00164901,
        0.00160807,
        0.001617,
        0.00177904,
        0.00197274,
        0.00218148,
        0.00225473,
        0.0020861,
        0.00180998,
        0.00168249,
        0.00162447,
        0.00155865,
        0.0016457,
        0.00172544,
        0.00170551,
        0.00169695,
        0.0018246,
        0.0018866,
        0.00214036,
        0.00274853,
        0.00332364,
        0.00339893,
        0.00310049,
        0.00282102,
        0.00257835,
        0.00207766,
        0.00172746,
        0.00159422,
        0.00157935,
        0.0016273,
        0.00163522,
        0.00145285,
        0.00143967,
        0.00159658,
        0.00163306,
        0.00164324,
        0.00165535,
        0.00164247,
        0.0015962,
        0.00160022,
        0.00162967,
        0.00161006,
        0.00158369,
        0.00152345,
        0.00145529,
        0.00145712,
        0.00151071,
        0.00152028,
        0.00151406,
        0.00154738,
        0.00163699,
        0.00170485,
        0.00176415,
        0.00216774,
        0.00306274,
        0.00338681,
        0.00282468,
        0.00219139,
        0.00185201,
        0.00176712,
        0.00190247,
        0.00244058,
        0.00256755,
        0.0022708,
        0.00203603,
        0.00188884,
        0.00174654,
        0.00168484,
        0.00167869,
        0.00170994,
        0.00185251,
        0.00222874,
        0.00301556,
        0.00364438,
        0.00323831,
        0.00233822,
        0.00226382,
        0.00239101,
        0.00245539,
        0.00214101,
        0.00174497,
        0.00181503,
        0.00225917,
        0.00246909,
        0.00232256,
        0.00198092,
        0.00181565,
        0.00181211,
        0.0018758,
        0.00215138,
        0.00255408,
        0.00231144,
        0.00194054,
        0.00179331,
        0.00188481,
        0.00196192,
        0.00178679,
        0.00179469,
        0.00173606,
        0.00165886,
        0.00163697,
        0.00160007,
        0.00152988,
        0.001484,
        0.00148123,
        0.00150269,
        0.00153387,
        0.00151591,
        0.00146643,
        0.00139343,
        0.00134023,
        0.00140039,
        0.00147077,
        0.00144929,
        0.00152328,
        0.00158566,
        0.00156727,
        0.00149924,
        0.00147511,
        0.00150525,
        0.00152831,
        0.00149506,
        0.00153171,
        0.00161062,
        0.00180277,
        0.00216233,
        0.00232659,
        0.00202935,
        0.00199015,
        0.00197346,
        0.0017279,
        0.00144981,
        0.00139524,
        0.00140761,
        0.0015288,
        0.00173265,
        0.00200853,
        0.00202408,
        0.00177007,
        0.00152783,
        0.00161454,
        0.00194822,
        0.00286878,
        0.00408246,
        0.00360983,
        0.00248493,
        0.00175446,
        0.00151518,
        0.0015783,
        0.00159083,
        0.00140951,
        0.00128137,
        0.00133737,
        0.00150139,
        0.0016152,
        0.00160554,
        0.0015409,
        0.00148961,
        0.00142163,
        0.0013603,
        0.00136178,
        0.0014011,
        0.00139755,
        0.00142826,
        0.00170371,
        0.00216352,
        0.00292676,
        0.00318949,
        0.00281646,
        0.0023647,
        0.00219431,
        0.00175645,
        0.00156227,
        0.00157745,
        0.00169188,
        0.00190886,
        0.00233635,
        0.00297296,
        0.00304859,
        0.00294449,
        0.00379816,
        0.00395302,
        0.00341161,
        0.00286188,
        0.0026472,
        0.00219709,
        0.00174136,
        0.00155244,
        0.00158666,
        0.00173281,
        0.00185701,
        0.00185166,
        0.00171028,
        0.0018259,
        0.00199438,
        0.00235328,
        0.00309995,
        0.00388238,
        0.00402272,
        0.00324572,
        0.00286432,
        0.00368935,
        0.00537792,
        0.00582624,
        0.00443769,
        0.00345563,
        0.00280033,
        0.00246356,
        0.00234914,
        0.00232891,
        0.00230417,
        0.00215312,
        0.00184233,
        0.00187538,
        0.0018053,
        0.00169459,
        0.00160945,
        0.00160032,
        0.00166599,
        0.0017533,
        0.00179155,
        0.00179135,
        0.00162514,
        0.0015728,
        0.00157968,
        0.00150288,
        0.00137711,
        0.00141786,
        0.00147475,
        0.00139366,
        0.00137952,
        0.00147579,
        0.00168491,
        0.00202919,
        0.00256493,
        0.00329896,
        0.00308901,
        0.00229351,
        0.00188494,
        0.00200593,
        0.00219168,
        0.00203619,
        0.00171294,
        0.00156855,
        0.0014834,
        0.00139445,
        0.00144728,
        0.00155215,
        0.00161074,
        0.00166109,
        0.00185147,
        0.00206414,
        0.00220548,
        0.00212467,
        0.00187848,
        0.00167252,
        0.00163741,
        0.00164785,
        0.00148034,
        0.00151375,
        0.001714,
        0.00179851,
        0.0017618,
        0.00172718,
        0.00178683,
        0.00191598,
        0.00200061,
        0.0021911,
        0.00272113,
        0.00323249,
        0.00378962,
        0.00443105,
        0.00458405,
        0.00377986,
        0.0031199,
        0.00331901,
        0.00395165,
        0.00434849,
        0.00450191,
        0.00468371,
        0.00398528,
        0.00314017,
        0.00339704,
        0.00353509,
        0.00344577,
        0.00325705,
        0.00295873,
        0.00240504,
        0.00206484,
        0.00194109,
        0.00206142,
        0.00224975,
        0.00218156,
        0.00189807,
        0.00172111,
        0.00163216,
        0.00149245,
        0.00160912,
        0.00199341,
        0.002316,
        0.00229729,
        0.00199944,
        0.00177074,
        0.0017347,
        0.00159858,
        0.00145955,
        0.00144519,
        0.00148791,
        0.00148033,
        0.00139874,
        0.00135229,
        0.00124929,
        0.00139077,
        0.00157737,
        0.00188206,
        0.00221828,
        0.00227324,
        0.0018362,
        0.00151669,
        0.00160821,
        0.00154106,
        0.00166361,
        0.00193489,
        0.00227941,
        0.00254599,
        0.00246665,
        0.00247214,
        0.00264315,
        0.00327099,
        null,
        0.00363728,
        0.00344068,
        0.00315961,
        0.00314632,
        0.0032111,
        0.00308873,
        0.00310763,
        0.00275807,
        0.00221017,
        0.00180919,
        0.00165699,
        0.00190691,
        0.00200053,
        0.00188806,
        0.00216721,
        0.00252226,
        0.00249676,
        0.00206609,
        0.00175419,
        0.00169663,
        0.00170812,
        0.00169204,
        0.00171602,
        0.00170228,
        0.00163213,
        0.001595,
        0.00164064,
        0.00156082,
        0.00150371,
        0.00155542,
        0.00178444,
        0.00217151,
        0.00258588,
        0.00289429,
        0.00331157,
        0.00302795,
        0.00219551,
        0.00174159,
        0.00154279,
        0.00141276,
        0.00134626,
        0.00135863,
        0.00137135,
        0.00150192,
        0.00150596,
        0.00141672,
        0.00138588,
        0.00143301,
        0.00145526,
        0.00144692,
        0.00149684,
        0.00138655,
        0.00141201,
        0.00151468,
        0.00161034,
        0.00167299,
        0.00178298,
        0.0021985,
        0.00378437,
        0.00382554,
        0.0030893,
        0.00283113,
        0.00335477,
        0.00413422,
        0.00447748,
        0.00390173,
        0.00320781,
        0.00247494,
        0.00198281,
        0.00175014,
        0.00162548,
        0.00147519,
        0.00137569,
        0.00140841,
        0.00146968,
        0.00157027,
        0.00183846,
        0.00207966,
        0.00201958,
        0.0016768,
        0.00159329,
        0.00175713,
        0.00169963,
        0.00160732,
        0.0015648,
        0.00152649,
        0.00145936,
        0.00143923,
        0.00150517,
        0.00156251,
        0.00153808,
        0.00143283,
        0.00142395,
        0.00154927,
        0.00177524,
        0.00221252,
        0.00309818,
        0.00339494,
        0.00277907,
        0.00230159,
        0.00210132,
        0.00196884,
        0.00183694,
        0.00186005,
        0.00191971,
        0.00189401,
        0.00211216,
        0.0026024,
        0.00278508,
        0.00233825,
        0.00172148,
        0.00174836,
        0.00201496,
        0.00200296,
        0.00180143,
        0.00161993,
        0.00154974,
        0.00160291,
        0.00182103,
        0.00229374,
        0.00282891,
        0.00251684,
        0.002194,
        0.0020987,
        0.00207221,
        0.00194903,
        0.00184212,
        0.00170066,
        0.00195772,
        0.00251583,
        0.00264442,
        0.00230807,
        0.00188227,
        0.00168876,
        0.00166362,
        0.00162802,
        0.00161853,
        0.00169202,
        0.00171521,
        0.00229063,
        0.00247848,
        0.00278031,
        0.00270143,
        0.00244588,
        0.00255922,
        0.00303271,
        0.00305425,
        0.00256949,
        0.00203059,
        0.00171212,
        0.0018508,
        0.00173762,
        0.00168415,
        0.00174841,
        0.00177086,
        0.00169999,
        0.00162042,
        0.00155267,
        0.0015631,
        0.00169085,
        0.00206824,
        0.00256406,
        0.00268802,
        0.00238775,
        0.00183425,
        0.00160905,
        0.00159141,
        0.00166562,
        0.00169557,
        0.00171999,
        0.00175355,
        0.00177513,
        0.00153125,
        0.0015589,
        0.00157721,
        0.00179676,
        0.00191977,
        0.00184465,
        0.00175366,
        0.00173675,
        0.00176985,
        0.00181115,
        0.00204632,
        0.00256972,
        0.00325883,
        0.00357622,
        0.00340471,
        0.0027672,
        0.00231201,
        0.00211888,
        0.00236765,
        0.00334245,
        0.00442093,
        0.00377901,
        0.00251183,
        0.00201849,
        0.0018346,
        0.00176944,
        0.0017884,
        0.00179201,
        0.0017531,
        0.00173634,
        0.00199685,
        0.00221452,
        0.00280236,
        0.00335693,
        0.0036624,
        0.00385395,
        0.0037648,
        0.00277405,
        0.00200259,
        0.00176457,
        0.00176838,
        0.00177822,
        0.00170293,
        0.00165394,
        0.00176001,
        0.00170452,
        0.00172866,
        0.0017359,
        0.00174094,
        0.0018762,
        0.00223399,
        0.00280252,
        0.00339488,
        0.00327763,
        0.00307826,
        0.00310821,
        0.00253406,
        0.00205,
        0.00177612,
        0.0016066,
        0.00154108,
        0.00159895,
        0.00160987,
        0.00163127,
        0.00162988,
        0.00175519,
        0.00197961,
        0.00213048,
        0.00193064,
        0.00171479,
        0.00165156,
        0.00176659,
        0.00184769,
        0.00188509,
        0.0018238,
        0.00188546,
        0.00201867,
        0.00221276,
        0.00240175,
        0.00238411,
        0.00215185,
        0.00231301,
        0.00238288,
        0.00295619,
        0.00472401,
        0.00600121,
        0.00530611,
        0.00408955,
        0.0040014,
        0.00483634,
        0.00570094,
        0.00479199,
        0.00342443,
        0.00272608,
        0.00247377,
        0.00233222,
        0.00233735,
        0.00257639,
        0.00298525,
        0.00372439,
        0.00422657,
        0.00369469,
        0.0027566,
        0.00220737,
        0.00194477,
        0.00194443,
        0.00190035,
        0.00179858,
        0.00196529,
        0.00198246,
        0.00174705,
        0.00160881,
        0.00162642,
        0.0017703,
        0.00168751,
        0.0016716,
        0.00158588,
        0.00146822,
        0.00137303,
        0.00146587,
        0.00149561,
        0.00165313,
        0.00192617,
        0.0024739,
        0.00255671,
        0.00222617,
        0.00180387,
        0.00161116,
        0.00160795,
        0.00162578,
        0.00165106,
        0.00176695,
        0.00184183,
        0.00187512,
        0.00186633,
        0.00176338,
        0.00177796,
        0.00162635,
        0.00156826,
        0.00160929,
        0.00162769,
        0.00162905,
        0.00179469,
        0.0022819,
        0.00335426,
        0.00323192,
        0.0023611,
        0.00178157,
        0.00160604,
        0.00163924,
        0.00169064,
        0.00175391,
        0.00227372,
        0.00231715,
        0.00205395,
        0.00183727,
        0.00175053,
        0.00202145,
        0.00309331,
        0.00454937,
        0.00523124,
        0.00341915,
        0.00244317,
        0.0019107,
        0.00174214,
        0.00170477,
        0.00177406,
        0.00201812,
        0.00256607,
        0.00248101,
        0.00196626,
        0.00160113,
        0.00146038,
        0.0014667,
        0.00157212,
        0.00158128,
        0.00183128,
        0.00264152,
        0.00341493,
        0.00305019,
        0.0021502,
        0.00165751,
        0.00159666,
        0.00158999,
        0.00172993,
        0.00219809,
        0.0027224,
        0.00289141,
        0.00252281,
        0.00192149,
        0.00163357,
        0.00165556,
        0.00180452,
        0.00226104,
        0.00247227,
        0.00215927,
        0.0017611,
        0.0015797,
        0.00148548,
        0.00155339,
        0.00157773,
        0.0017569,
        0.00191308,
        0.00189974,
        0.00184229,
        0.00176323,
        0.00156902,
        0.00143431,
        0.00145853,
        0.00140033,
        0.00146336,
        0.00158874,
        0.00182293,
        0.00191495,
        0.00165297,
        0.00171806,
        0.00195357,
        0.00293705,
        0.00295217,
        0.00231685,
        0.00204071,
        0.0021819,
        0.00235333,
        0.00199039,
        0.00179087,
        0.00164932,
        0.00164364,
        0.00188539,
        0.00234196,
        0.00261319,
        0.00217086,
        0.00164843,
        0.00156242,
        0.00154264,
        0.0015153,
        0.00167032,
        0.00181004,
        0.00191684,
        0.0023439,
        0.00248314,
        0.0020247,
        0.00163861,
        0.00158675,
        0.00165534,
        0.00159828,
        0.00157308,
        0.00157287,
        0.00167631,
        0.00164244,
        0.00167337,
        0.00182337,
        0.0020349,
        0.00218815,
        0.00210184,
        0.0022506,
        0.00242244,
        0.00255688,
        0.00265079,
        0.00293407,
        0.0037568,
        null,
        0.00612981,
        0.00541126,
        0.00458854,
        0.00398701,
        0.00353127,
        0.00337312,
        0.00340103,
        0.00333598,
        0.00343631,
        0.003364,
        0.00350156,
        0.00406368,
        0.00438647,
        0.00356096,
        0.00270276,
        0.00234728,
        0.00247978,
        0.00275754,
        0.0027617,
        0.00249358,
        0.00188637,
        0.0017813,
        0.00177272,
        0.00169734,
        0.00164752,
        0.00167469,
        0.00169907,
        0.00169211,
        0.00211161,
        0.00290438,
        0.00333882,
        0.00292357,
        0.00220551,
        0.00200416,
        0.00224032,
        0.00254096,
        0.00410533,
        0.00312372,
        0.00213202,
        0.00185984,
        0.00174603,
        0.00179038,
        0.00172296,
        0.0016723,
        0.00153438,
        0.00150851,
        0.00159483,
        0.00161943,
        0.00150408,
        0.00145079,
        0.00155784,
        0.00155005,
        0.0015377,
        0.00152568,
        0.00146523,
        0.00135026,
        0.00136782,
        0.00157018,
        0.00155024,
        0.00164113,
        0.00173367,
        0.00190345,
        0.00233267,
        0.00291249,
        0.00324091,
        0.00326289,
        0.00379511,
        0.00329935,
        0.00245064,
        0.00193348,
        0.00172431,
        0.00159263,
        0.0015155,
        0.00157208,
        0.0016521,
        0.00170398,
        0.00214035,
        0.00334634,
        0.00386459,
        0.00311319,
        0.00212843,
        0.0017316,
        0.00172845,
        0.00160493,
        0.00153436,
        0.00163673,
        0.00175589,
        0.00185799,
        0.00206046,
        0.00207844,
        0.00169108,
        0.00168369,
        0.00162241,
        0.00163163,
        0.00159816,
        0.00154308,
        0.00157158,
        0.00163105,
        0.00155415,
        0.00159223,
        0.00171771,
        0.00218573,
        0.00267558,
        0.00263728,
        0.00215072,
        0.00197569,
        0.00178583,
        0.00207476,
        0.00230836,
        0.00197367,
        0.00159451,
        0.00145272,
        0.0014202,
        0.00138863,
        0.00134444,
        0.00132949,
        0.00130759,
        0.00134245,
        0.00137088,
        0.001357,
        0.00133944,
        0.00139272,
        0.00144484,
        0.00134466,
        0.00137247,
        0.00145054,
        0.00153138,
        0.00151376,
        0.00142962,
        0.00143325,
        0.00152791,
        0.00164588,
        0.00162486,
        0.00158301,
        0.00143823,
        0.00139887,
        0.00155311,
        0.00186818,
        0.0023649,
        0.00220282,
        0.00198175,
        0.00183451,
        0.00166906,
        0.00155429,
        0.00155121,
        0.00155486,
        0.00160231,
        0.00153583,
        0.00148934,
        0.00169717,
        0.00185188,
        0.00167877,
        0.00151756,
        0.00144035,
        0.00143004,
        0.00155611,
        0.00164716,
        0.002061,
        0.0026231,
        0.00292646,
        0.00270174,
        0.0026401,
        0.00250705,
        0.0021558,
        0.00168498,
        0.00157929,
        0.00155653,
        0.00161398,
        0.00173182,
        0.00184575,
        0.00197207,
        0.00214973,
        0.00219374,
        0.00238515,
        0.0028416,
        0.00338564,
        0.00421047,
        0.00475126,
        0.00471961,
        0.00456075,
        0.00398728,
        0.00337519,
        0.00299467,
        0.00267961,
        0.00225365,
        0.00200974,
        0.00173291,
        0.00170839,
        0.00166746,
        0.00168274,
        0.00172506,
        0.00182026,
        0.00219871,
        0.00295381,
        0.00303306,
        0.00221817,
        0.00170878,
        0.00166133,
        0.00155856,
        0.00152113,
        0.00148213,
        0.00147875,
        0.00143387,
        0.00135363,
        0.00136041,
        0.00135837,
        0.00148586,
        0.00157451,
        0.00154694,
        0.00147849,
        0.00153158,
        0.00152546,
        0.00159307,
        0.00177879,
        0.00239728,
        0.00315759,
        0.00307292,
        0.00237149,
        0.00200985,
        0.00185921,
        0.00158594,
        0.00165899,
        0.00194657,
        0.00254576,
        0.00377854,
        0.00454192,
        0.00434621,
        0.00331383,
        0.00231252,
        0.00183625,
        0.00169751,
        0.00158969,
        0.00155404,
        0.00157763,
        0.00163827,
        0.00177886,
        0.00211114,
        0.00237668,
        0.00213411,
        0.00173881,
        0.00159514,
        0.00158997,
        0.00166509,
        0.00167139,
        0.00162102,
        0.00175938,
        0.0016979,
        0.00168322,
        0.00166574,
        0.00164065,
        0.00157099,
        0.00150929,
        0.00155568,
        0.00163493,
        0.00154849,
        0.0015692,
        0.00184683,
        0.00248411,
        0.00328119,
        0.00348751,
        0.00276637,
        0.00201704,
        0.00171566,
        0.00175468,
        0.00165979,
        0.00169372,
        0.00170263,
        0.00163736,
        0.00158443,
        0.00157924,
        0.00148684,
        0.00158934,
        0.00166589,
        0.00161406,
        0.0016474,
        0.00174236,
        0.00155275,
        0.00158481,
        0.00156926,
        0.00145183,
        0.00145361,
        0.00153239,
        0.00152831,
        0.00150319,
        0.00152075,
        0.00153743,
        0.00146351,
        0.00147702,
        0.00143897,
        0.00147434,
        0.00149212,
        0.00172588,
        0.00222498,
        0.00258838,
        0.00242222,
        0.00186061,
        0.00170786,
        0.00176238,
        0.00172088,
        0.00187118,
        0.00198304,
        0.00189383,
        0.00170667,
        0.00155603,
        0.0016029,
        0.00164329,
        0.00161458,
        0.00162462,
        0.00166695,
        0.00162321,
        0.00159483,
        0.00167652,
        0.00179154,
        0.00238054,
        0.00315618,
        0.00371606,
        0.00287669,
        0.00210521,
        0.00177275,
        0.00170123,
        0.00168535,
        0.00166289,
        0.00163978,
        0.00179618,
        0.00201224,
        0.00243857,
        0.00259699,
        0.00236188,
        0.0020362,
        0.00170528,
        0.00152901,
        0.00146072,
        0.00145087,
        0.00160366,
        0.00176235,
        0.00184552,
        0.00204444,
        0.00263291,
        0.00317243,
        0.00305269,
        0.00221372,
        0.00187269,
        0.00177464,
        0.00167844,
        0.00169044,
        0.00181917,
        0.00185924,
        0.00190542,
        0.00202953,
        0.00217134,
        0.00239229,
        0.00250201,
        0.00239094,
        0.0022252,
        0.00225298,
        0.00237674,
        0.00198375,
        0.0020142,
        0.00251021,
        0.0028455,
        0.00286839,
        0.00261069,
        0.00196745,
        0.00186948,
        0.00148359,
        0.00187497,
        0.00192283,
        0.0020578,
        0.00213954,
        0.00202528,
        0.00203944,
        0.00239337,
        0.00245785,
        0.00268336,
        0.00238146,
        0.00237578,
        0.00241653,
        0.00262058,
        0.00321631,
        0.00383855,
        0.00421678,
        0.00306258,
        0.00216679,
        0.00187292,
        0.00181748,
        0.00168341,
        0.00160061,
        0.00168391,
        0.00141758,
        0.00156288,
        0.00191152,
        0.00290292,
        0.00335633,
        0.00292634,
        0.00220327,
        0.00177554,
        0.00161596,
        0.00175016,
        0.00179812,
        0.00154805,
        0.00161953,
        0.00180726,
        0.00181978,
        0.00164909,
        0.00149642,
        0.00145328,
        0.00151936,
        0.00155815,
        0.00145707,
        0.00155184,
        0.00167321,
        0.00161665,
        0.00147251,
        0.00154329,
        0.00182062,
        0.00167714,
        0.00210991,
        0.00265736,
        0.00318605,
        0.00358229,
        0.00326386,
        0.00227888,
        0.00184545,
        0.00170816,
        0.00193753,
        0.001987,
        0.00188011,
        0.00181039,
        0.00200423,
        0.00214972,
        0.00192599,
        0.00211877,
        0.00233797,
        0.00226261,
        0.0022063,
        0.00234767,
        0.00291905,
        0.00354776,
        0.00399429,
        null,
        0.00680796,
        0.00610315,
        0.00498646,
        0.00441306,
        0.00373124,
        0.00265371,
        0.00267212,
        0.00253837,
        0.00239989,
        0.00239117,
        0.00231423,
        0.00212151,
        0.00223837,
        0.00231731,
        0.00185673,
        0.00201236,
        0.00217292,
        0.00214913,
        0.00212035,
        0.0021827,
        0.00212272,
        0.00187192,
        0.00179857,
        0.00208723,
        0.00264727,
        0.00320535,
        0.00322598,
        0.00291116,
        0.00299408,
        0.00331035,
        0.00252143,
        0.00223059,
        0.00200514,
        0.00176235,
        0.00185795,
        0.0021556,
        0.0021894,
        0.00190342,
        0.00192036,
        0.00191023,
        0.00214924,
        0.00222437,
        0.00223614,
        0.0024055,
        0.00257859,
        0.00269768,
        0.00315363,
        0.00362252,
        0.00382325,
        0.00523296,
        0.00487958,
        0.00429045,
        null,
        0.0046837,
        0.00465069,
        0.00526537,
        0.00529078,
        0.0039171,
        0.00297785,
        0.00331023,
        0.00339666,
        0.00303069,
        0.00249008,
        0.0021959,
        0.00218198,
        0.00243484,
        0.00314604,
        0.00335207,
        0.00250362,
        0.00205073,
        0.00168359,
        0.00178454,
        0.00195414,
        0.0019201,
        0.0018136,
        0.00163574,
        0.00194469,
        0.00204338,
        0.00180971,
        0.00171454,
        0.00168248,
        0.00172705,
        0.00190785,
        0.0023193,
        0.00305826,
        0.00258032,
        0.00215423,
        0.00173136,
        0.00173855,
        0.00178433,
        0.00185623,
        0.00204529,
        0.00214482,
        0.00204091,
        0.00196535,
        0.00231089,
        0.00257842,
        0.00276715,
        0.00301746,
        0.00314792,
        0.00342936,
        0.00476291,
        0.00525099,
        0.00470649,
        0.00422388,
        0.00372546,
        0.00312653,
        0.00237114,
        0.00221269,
        0.00203729,
        0.00199208,
        0.00209259,
        0.00210137,
        0.00208488,
        0.00232998,
        0.00181569,
        0.00184127,
        0.00201039,
        0.00200155,
        0.00193897,
        0.00195271,
        0.00192616,
        0.00176692,
        0.00165839,
        0.00160887,
        0.00150725,
        0.00144751,
        0.00151615,
        0.00150593,
        0.00149559,
        0.00150829,
        0.00150217,
        0.00155294,
        0.00166556,
        0.00160449,
        0.00155774,
        0.00143523,
        0.00150287,
        0.00164819,
        0.00172949,
        0.0018109,
        0.00193689,
        0.00162587,
        0.00167445,
        0.0015327,
        0.00145235,
        0.00152403,
        0.00160373,
        0.00164184,
        0.00167499,
        0.00167149,
        0.00177272,
        0.00187587,
        0.00174113,
        0.00167808,
        0.0016238,
        0.00157304,
        0.00151071,
        0.00149344,
        0.00163076,
        0.00153795,
        0.00163027,
        0.00182325,
        0.00206549,
        0.00236473,
        0.00250534,
        0.00250074,
        0.00244237,
        0.00212324,
        0.00161918,
        0.00166235,
        0.00164014,
        0.0017126,
        0.00177973,
        0.00172694,
        0.00152927,
        0.00140669,
        0.00159221,
        0.00141911,
        0.00151235,
        0.00140651,
        0.0015264,
        0.00153817,
        0.00147345,
        0.00150195,
        0.00143011,
        0.00143105,
        0.00137952,
        0.00137068,
        0.00154768,
        0.00168755,
        0.00185698,
        0.00184422,
        0.00157936,
        0.0014922,
        0.00153305,
        0.00161077,
        0.00145263,
        0.00152296,
        0.00147574,
        0.00139642,
        0.00148052,
        0.00158695,
        0.00155002,
        0.00147512,
        0.00155996,
        0.00160585,
        0.00153025,
        0.00157888,
        0.00154837,
        0.00154894,
        0.00164566,
        0.0017195,
        0.00172073,
        0.0017099,
        0.00189236,
        0.00202638,
        0.00208531,
        0.00222123,
        0.0024648,
        0.00257987,
        0.00246025,
        0.00227324,
        0.00215349,
        0.00204786,
        0.0019716,
        0.00189054,
        0.00186775,
        0.00184772,
        0.00190147,
        0.00209485,
        0.00216152,
        0.00198761,
        0.00189941,
        0.00205073,
        0.0024208,
        0.00224963,
        0.00191103,
        0.00173008,
        0.00162867,
        0.00157635,
        0.00158743,
        0.00156007,
        0.0015265,
        0.00147816,
        0.0015046,
        0.00158669,
        0.00159628,
        0.00151783,
        0.00147174,
        0.00150897,
        0.00157054,
        0.00155325,
        0.00171348,
        0.00178314,
        0.00176647,
        0.00169278,
        0.00161322,
        0.00157148,
        0.00153398,
        0.00159123,
        0.00165441,
        0.00161358,
        0.00148608,
        0.00155349,
        0.00169912,
        0.00172325,
        0.00166469,
        0.00157582,
        0.00157439,
        0.00160325,
        0.00166069,
        0.00160358,
        0.00154416,
        0.00147915,
        0.00151899,
        0.00163742,
        0.00164141,
        0.00154643,
        0.00159687,
        0.00159821,
        0.00168318,
        0.00172733,
        0.00168774,
        0.00161894,
        0.0016277,
        0.00168399,
        0.00157698,
        0.00151223,
        0.00158341,
        0.00165505,
        0.00166823,
        0.0017254,
        0.00177818,
        0.00169623,
        0.00160321,
        0.00173041,
        0.00172386,
        0.00165823,
        0.00169226,
        0.00164406,
        0.00161378,
        0.00161138,
        0.00161108,
        0.00164191,
        0.00163086,
        0.00160632,
        0.00154341,
        0.0016205,
        0.00157813,
        0.0016305,
        0.00163006,
        0.00157767,
        0.00157032,
        0.00159365,
        0.00160928,
        0.00157055,
        0.0015661,
        0.0016166,
        0.00169828,
        0.00172687,
        0.00175146,
        0.00174247,
        0.00168959,
        0.00170368,
        0.00155875,
        0.00160996,
        0.00173392,
        0.001887,
        0.00183525,
        0.0018497,
        0.0020174,
        0.00214363,
        0.00208315,
        0.00206851,
        0.00206165,
        0.00204207,
        0.00204552,
        0.00197378,
        0.00182375,
        0.0017339,
        0.0016957,
        0.00165341,
        0.0016129,
        0.0015458,
        0.00149121,
        0.00153815,
        0.00152887,
        0.00157741,
        0.00161883,
        0.00159687,
        0.00156614,
        0.00155408,
        0.00151368,
        0.00150916,
        0.00160654,
        0.00166322,
        0.00159433,
        0.0015271,
        0.00152552,
        0.00148849,
        0.00155754,
        0.00154356,
        0.00159296,
        0.0015027,
        0.00151824,
        0.00147325,
        0.00156899,
        0.00170447,
        0.00163768,
        0.00168801,
        0.00171031,
        0.00164208,
        0.00163025,
        0.00172077,
        0.00177172,
        0.00169865,
        0.00158464,
        0.00158174,
        0.00162316,
        0.00160893,
        0.0016395,
        0.00160006,
        0.00157409,
        0.00164515,
        0.00171149,
        0.00166955,
        0.00174466,
        0.00187701,
        0.00185694,
        0.00179985,
        0.00183228,
        0.00192847,
        0.00209204,
        0.00225315,
        0.00235428,
        0.00249798,
        0.00270639,
        0.0026492,
        0.00243409,
        0.00223672,
        0.00226763,
        0.00222748,
        0.00205007,
        0.0018981,
        0.00189017,
        0.00192781,
        0.00180106,
        0.00181678,
        0.00180929,
        0.00190858,
        0.00206521,
        0.00230177,
        0.00262998,
        0.00301141,
        0.00346301,
        0.00404547,
        0.0046488,
        0.0052103,
        0.00709111,
        0.00559093,
        0.00448947,
        0.00368161,
        0.00318308,
        0.00303879,
        0.00297859,
        0.00273546,
        0.00245479,
        0.00232821,
        0.00242763,
        0.00225324,
        0.00232475,
        0.00238782,
        0.00231515,
        0.00215524,
        0.0020307,
        0.00198842,
        0.00193981,
        0.00182042,
        0.00175738,
        0.00181997,
        0.00177905,
        0.00171446,
        0.00181223,
        0.0018932,
        0.00180116,
        0.00162926,
        0.0015053,
        0.00149468,
        0.00154596,
        0.00146549,
        0.00150194,
        0.00156191,
        0.00153926,
        0.00152844,
        0.00159917,
        0.00163712,
        0.00152785,
        0.00147545,
        0.00158387,
        0.00150713,
        0.00140636,
        0.00134964,
        0.0013581,
        0.00133672,
        0.00135096,
        0.00142756,
        0.00145226,
        0.00146273,
        0.00145893,
        0.00156894,
        0.0015144,
        0.00136,
        0.00138695,
        0.0013393,
        0.0012709,
        0.00131558,
        0.00144247,
        0.00156877,
        0.00155829,
        0.00136688,
        0.00132637,
        0.00136924,
        0.00140593,
        0.00145497,
        0.00143801,
        0.00139163,
        0.00137015,
        0.00133184,
        0.00137085,
        0.00141263,
        0.00148543,
        0.00149804,
        0.0013898,
        0.00140089,
        0.00146287,
        0.00150763,
        0.0015848,
        0.00167506,
        0.0016554,
        0.00175994,
        0.00179153,
        0.0017133,
        0.0017376,
        0.0017395,
        0.0016338,
        0.00158782,
        0.00156205,
        0.00145755,
        0.00146795,
        0.00151507,
        0.00140134,
        0.00132364,
        0.00125726,
        0.00130147,
        0.00136057,
        0.00133761,
        0.00133457,
        0.00138581,
        0.00140095,
        0.00148815,
        0.00158663,
        0.00150652,
        0.00155663,
        0.00198964,
        0.00219807,
        0.00211038,
        0.00202323,
        0.00200662,
        0.00194212,
        0.00183543,
        0.001554,
        0.00135597,
        0.00138044,
        0.00137786,
        0.00141966,
        0.00159028,
        0.00177189,
        0.00178814,
        0.0016476,
        0.00153366,
        0.00156068,
        0.0017939,
        0.001874,
        0.00155765,
        0.00140056,
        0.00154494,
        0.00165147,
        0.00159394,
        0.00149464,
        0.00148743,
        0.00154822,
        0.00154489,
        0.00160336,
        0.00210901,
        0.00238189,
        0.0022608,
        0.00222061,
        0.00222005,
        0.00225094,
        0.00255966,
        0.00327578,
        0.00391574,
        0.00342747,
        0.00270831,
        0.00246242,
        0.00232214,
        0.00221251,
        0.00212137,
        0.00226056,
        0.00248552,
        0.00245392,
        0.00217085,
        0.00186996,
        0.0016466,
        0.00161274,
        0.00159494,
        0.00153112,
        0.00167003,
        0.00198279,
        0.0021599,
        0.00199011,
        0.00165591,
        0.00151456,
        0.00144398,
        0.00143911,
        0.00159124,
        0.00150975,
        0.00142013,
        0.00150253,
        0.00162173,
        0.0016788,
        0.00171002,
        0.00180184,
        0.00201912,
        0.00232097,
        0.00268676,
        0.00248166,
        0.00203771,
        0.00165641,
        0.00139296,
        0.00135575,
        0.00151876,
        0.00181578,
        0.00232577,
        0.00294823,
        0.00246645,
        0.0018546,
        0.0016902,
        0.00160863,
        0.00162307,
        0.00162949,
        0.00165971,
        0.00172707,
        0.00193471,
        0.00230722,
        0.00216837,
        0.00184264,
        0.00198689,
        0.00198576,
        0.00175911,
        0.00159742,
        0.00149971,
        0.00147768,
        0.0020075,
        0.00167306,
        0.00136214,
        0.00144957,
        0.00153614,
        0.00155028,
        0.00152897,
        0.00147957,
        0.00151028,
        0.00164816,
        0.00169412,
        0.0018909,
        0.00200293,
        0.00195634,
        0.00189605,
        0.00177956,
        0.00163663,
        0.00156887,
        0.00163155,
        0.00174575,
        0.00182671,
        0.00195605,
        0.00227008,
        0.00287061,
        0.00279208,
        0.00232899,
        0.00227275,
        0.00241173,
        0.00228457,
        0.00193932,
        0.00173472,
        0.00186731,
        0.00229874,
        0.00283267,
        0.00279485,
        0.00214867,
        0.00187809,
        0.00179241,
        0.0016334,
        0.00150005,
        0.00152325,
        0.00168381,
        0.00194449,
        0.00237925,
        0.00286957,
        0.00315451,
        0.00246143,
        0.00198614,
        0.001911,
        0.00188989,
        0.00180348,
        0.00177022,
        0.00189629,
        0.00210316,
        0.00255353,
        0.00259968,
        0.00269764,
        0.00288227,
        0.00278426,
        0.0024882,
        0.00225739,
        0.00229479,
        0.00241095,
        0.00258515,
        0.00262509,
        0.00233789,
        0.00189261,
        0.00181602,
        0.00175696,
        0.00153507,
        0.00161832,
        0.00193664,
        0.00227898,
        0.00225176,
        0.00213486,
        0.00208742,
        0.00199703,
        0.00192368,
        0.00173456,
        0.00170516,
        0.00175965,
        0.0019257,
        0.00209741,
        0.00203966,
        0.0018743,
        0.00179765,
        0.00190061,
        0.00226772,
        0.00299995,
        0.0034185,
        0.00269683,
        0.00210748,
        0.00184809,
        0.00178192,
        0.00172148,
        0.00171928,
        0.0018626,
        0.00214569,
        0.00251413,
        0.00290228,
        0.00299226,
        0.0024513,
        0.00219616,
        0.00217992,
        0.00228829,
        0.00241562,
        0.00261176,
        0.00266778,
        0.00251153,
        0.0021853,
        0.00256195,
        0.00299865,
        0.00379674,
        0.00406338,
        0.00371862,
        0.00306822,
        0.00241797,
        0.00202721,
        0.00198538,
        0.00203116,
        0.00188241,
        0.00177447,
        0.00181335,
        0.00182704,
        0.00188102,
        0.00216912,
        0.00280829,
        0.00308378,
        0.0026646,
        0.00213014,
        0.00190104,
        0.0017585,
        0.00174596,
        0.00175914,
        0.00171911,
        0.00176844,
        0.00175382,
        0.00166475,
        0.00152431,
        0.00146687,
        0.00162018,
        0.00182289,
        0.00201195,
        0.00215099,
        0.00221914,
        0.00199294,
        0.00200936,
        0.00208029,
        0.00205124,
        0.00204894,
        0.00202854,
        0.00188882,
        0.00165477,
        0.00168323,
        0.00169054,
        0.00178048,
        0.00171537,
        0.00178209,
        0.00202658,
        0.00237844,
        0.00272722,
        0.00257843,
        0.0022982,
        0.0019967,
        0.00210162,
        0.00254583,
        0.00247915,
        0.00204809,
        0.00170965,
        0.00165634,
        0.00177941,
        0.00187762,
        0.00170178,
        0.00161903,
        0.00173385,
        0.00168392,
        0.0016885,
        0.00212153,
        0.00276232,
        0.00278532,
        0.0022783,
        0.00196224,
        0.00197746,
        0.00197009,
        0.00196142,
        0.00182066,
        0.00166122,
        0.00154955,
        0.00156556,
        0.00167479,
        0.00179351,
        0.00201977,
        0.00234442,
        0.00223769,
        0.0019968,
        0.00187507,
        0.00166579,
        0.00155554,
        0.0016134,
        0.00164138,
        0.00184805,
        0.00203239,
        0.00201692,
        0.00198726,
        0.00197779,
        0.00172953,
        0.00178745,
        0.00194607,
        0.00216274,
        0.00196074,
        0.00173493,
        0.00163393,
        0.00158868,
        0.00158469,
        0.00159624,
        0.00170526,
        0.00172283,
        0.00176767,
        0.00163553,
        0.0016278,
        0.00176425,
        0.00196967,
        0.00216853,
        0.00229077,
        0.00250099,
        0.00272564,
        0.00239806,
        0.00214976,
        0.00216783,
        0.00220138,
        0.00232699,
        0.00238492,
        0.00237993,
        0.00243004,
        0.00264359,
        0.00294726,
        0.00339244,
        0.00380094,
        0.00360806,
        0.00394462,
        0.00406464,
        0.00458859,
        0.00501839,
        0.00520132,
        0.00534776,
        0.00539873,
        0.00521301,
        null,
        0.00540871,
        0.00586784,
        0.00643378,
        0.00693924,
        0.00608323,
        0.00498304,
        0.00448913,
        0.00441364,
        0.00415454,
        0.0036852,
        0.00336085,
        0.00297681,
        0.00310034,
        0.00324174,
        0.00351703,
        0.00331086,
        0.00303792,
        0.00322558,
        0.00386037,
        0.00469945,
        0.00508315,
        0.00444921,
        0.00345006,
        0.00329368,
        0.00370073,
        0.00432533,
        0.00397154,
        0.00328004,
        0.00309514,
        0.00304019,
        0.00298346,
        0.00276295,
        0.00240766,
        0.00219885,
        0.0022281,
        0.00234121,
        0.00228669,
        0.00207669,
        0.00191136,
        0.00183846,
        0.00193476,
        0.00204728,
        0.00188649,
        0.00177828,
        0.00176467,
        0.00181757,
        0.00188921,
        0.00206694,
        0.00240869,
        0.0028412,
        0.00284589,
        0.00242329,
        0.00223125,
        0.00229861,
        0.00223623,
        0.00193527,
        0.00181219,
        0.00178917,
        0.00175329,
        0.00163714,
        0.0015835,
        0.00150392,
        0.0015891,
        0.00153394,
        0.00150921,
        0.00160723,
        0.00170917,
        0.00179874,
        0.00175143,
        0.00171906,
        0.00157586,
        0.00133008,
        0.0014314,
        0.00164317,
        0.00162488,
        0.00151594,
        0.00144242,
        0.00148826,
        0.00157402,
        0.00162335,
        0.00168154,
        0.00179124,
        0.00179634,
        0.00165139,
        0.00154577,
        0.00147471,
        0.00157263,
        0.00166282,
        0.00169619,
        0.00182008,
        0.00189164,
        0.00168704,
        0.00155366,
        0.00152923,
        0.0016744,
        0.00232502,
        0.00330401,
        0.00333403,
        0.00249399,
        0.00200596,
        0.00200853,
        0.00203086,
        0.00196055,
        0.00181057,
        0.001736,
        0.00179481,
        0.00190288,
        0.00198951,
        0.00212466,
        0.00236912,
        0.00266355,
        0.00305736,
        0.00350166,
        0.00358001,
        0.00386475,
        0.00428948,
        0.00442283,
        0.00425538,
        0.0038627,
        0.00326866,
        0.00299566,
        0.00269849,
        0.00247171,
        0.00271694,
        0.00274157,
        0.00328972,
        0.00309419,
        0.00254277,
        0.00215136,
        0.00203413,
        0.00198357,
        0.0018582,
        0.00181408,
        0.00206816,
        0.00198699,
        0.00182239,
        0.00182588,
        0.00199729,
        0.00194918,
        0.00189931,
        0.00173019,
        0.00161244,
        0.00173614,
        0.0016188,
        0.00160991,
        0.0017044,
        0.00167194,
        0.00186233,
        0.00178156,
        0.00194926,
        0.00250518,
        0.00273628,
        0.00238116,
        0.0019234,
        0.00185508,
        0.00199239,
        0.00224041,
        0.00219899,
        0.00247015,
        0.00249693,
        0.00217544,
        0.00187092,
        0.00175683,
        0.00176256,
        0.00172953,
        0.00176788,
        0.00184987,
        0.00182698,
        0.00171568,
        0.00160913,
        0.001571,
        0.00170675,
        0.00180736,
        0.00179889,
        0.00169982,
        0.0017188,
        0.00185984,
        0.0019083,
        0.00192767,
        0.00207053,
        0.00210579,
        0.00225349,
        0.002171,
        0.0022375,
        0.00228526,
        0.00229569,
        0.00232395,
        0.0022106,
        0.0019852,
        0.00188029,
        0.00190576,
        0.00192233,
        0.00187369,
        0.0018891,
        0.00187781,
        0.00176617,
        0.00171773,
        0.00178026,
        0.00184496,
        0.00179812,
        0.00171699,
        0.0017373,
        0.0020636,
        0.00218321,
        0.00238123,
        0.00295388,
        0.00364986,
        0.00439171,
        0.00416466,
        0.00344645,
        0.00262302,
        0.00219933,
        0.0019539,
        0.00181743,
        0.00167524,
        0.00162936,
        0.00165343,
        0.00154074,
        0.00149432,
        0.00151862,
        0.00156178,
        0.00155126,
        0.00151175,
        0.00161514,
        0.00167445,
        0.00174119,
        0.00171866,
        0.0017548,
        0.00206268,
        0.00261072,
        0.00371019,
        0.00450686,
        0.00395771,
        0.00317256,
        0.00266275,
        0.00220397,
        0.00200563,
        0.00190311,
        0.00171577,
        0.00170335,
        0.00169405,
        0.00170456,
        0.00176876,
        0.00183901,
        0.00178649,
        0.00167902,
        0.00165237,
        0.00171406,
        0.00169633,
        0.00161256,
        0.00164782,
        0.0015913,
        0.00165264,
        0.00206236,
        0.00245516,
        0.00281765,
        0.00246834,
        0.00218893,
        0.0020189,
        0.00206732,
        0.00218661,
        0.00219205,
        0.00185812,
        0.00170814,
        0.00169294,
        0.00174355,
        0.00175369,
        0.00184244,
        0.00184873,
        0.00171197,
        0.00167036,
        0.00179586,
        0.00192167,
        0.00194139,
        0.00193264,
        0.00188678,
        0.00199929,
        0.00198989,
        0.00186211,
        0.00175655,
        0.00177885,
        0.0018286,
        0.00181228,
        0.00177086,
        0.00176443,
        0.00184698,
        0.00180085,
        0.00186892,
        0.00222652,
        0.00258171,
        0.0024746,
        0.00218778,
        0.00199312,
        0.00186833,
        0.00176985,
        0.00173923,
        0.00167142,
        0.00180688,
        0.00199826,
        0.00223883,
        0.00282324,
        0.00281387,
        0.00227606,
        0.00191297,
        0.00184319,
        0.00181223,
        0.00185241,
        0.00184469,
        0.00179967,
        0.00174551,
        0.00188937,
        0.00196922,
        0.00176366,
        0.00170909,
        0.00174551,
        0.00167369,
        0.00173084,
        0.00182448,
        0.00183122,
        0.0020063,
        0.00220076,
        0.00207417,
        0.0016659,
        0.00168544,
        0.00188747,
        0.00190679,
        0.00186312,
        0.0019726,
        0.00206034,
        0.00202304,
        0.00199586,
        0.00230248,
        0.00253543,
        0.00305157,
        0.00436725,
        0.00540337,
        0.00450011,
        0.00304673,
        0.00242653,
        0.0022498,
        0.00218799,
        0.00238542,
        0.00249837,
        0.00224182,
        0.00194039,
        0.00187998,
        0.00192209,
        0.00192244,
        0.00183494,
        0.0018707,
        0.00190413,
        0.00192532,
        0.00200299,
        0.00191595,
        0.00184109,
        0.00177314,
        0.00176933,
        0.00190065,
        0.00203595,
        0.00236513,
        0.00298611,
        0.00327097,
        0.00268267,
        0.00204977,
        0.00175313,
        0.00167579,
        0.00165443,
        0.00162917,
        0.00168558,
        0.0016765,
        0.0017305,
        0.00172835,
        0.00178458,
        0.0017644,
        0.0017845,
        0.00177089,
        0.0018312,
        0.00191533,
        0.00183841,
        0.00183146,
        0.00204739,
        0.00218861,
        0.00222352,
        0.00229703,
        0.00227974,
        0.00234034,
        0.00242729,
        0.00225824,
        0.00202395,
        0.00185819,
        0.00180269,
        0.00177934,
        0.00167228,
        0.00163971,
        0.00170078,
        0.00217431,
        0.00238121,
        0.00210873,
        0.0018628,
        0.00171594,
        0.00162035,
        0.00157738,
        0.00157895,
        0.00159371,
        0.00156635,
        0.00151418,
        0.00158825,
        0.0013858,
        0.0015887,
        0.00157981,
        0.00148952,
        0.00150027,
        0.00149904,
        0.00170339,
        0.00203476,
        0.00231937,
        0.00289197,
        0.00360919,
        0.00302717,
        0.00206339,
        0.00169108,
        0.00167925,
        0.00179246,
        0.00191991,
        0.00189648,
        0.00167175,
        0.00162886,
        0.00172523,
        0.0016741,
        0.00164076,
        0.00183276,
        0.00181585,
        0.00204729,
        0.00155398,
        0.00151265,
        0.00159182,
        0.00176003,
        0.0016508,
        0.00184791,
        0.00199843,
        0.00197336,
        0.00226526,
        0.00260832,
        0.00221385,
        0.00222216,
        0.00307163,
        0.00391661,
        0.00607196,
        0.00499824,
        0.00317141,
        0.00243686,
        0.00235856,
        0.00240689,
        0.00245469,
        0.00256212,
        0.00285633,
        0.00307571,
        0.0031292,
        0.00371562,
        0.00398052,
        0.00478437,
        0.00683291,
        0.00699658,
        0.00503601,
        0.00415701,
        0.00339858,
        0.00292201,
        0.00231176,
        0.00179579,
        0.00184334,
        0.00211527,
        0.00227293,
        0.00251204,
        0.00232854,
        0.0022124,
        0.00237667,
        0.00247826,
        0.00220052,
        0.00220667,
        0.00207612,
        0.00199331,
        0.00207982,
        0.0020432,
        0.00195041,
        0.00214108,
        0.00241898,
        0.00227942,
        0.00225041,
        0.00235176,
        0.00249564,
        0.00222263,
        0.00203092,
        0.0024097,
        0.00309736,
        0.00319719,
        0.00261573,
        0.00221525,
        0.00205645,
        0.00170379,
        0.0020343,
        0.00205575,
        0.00360349,
        0.0035241,
        0.00275709,
        0.00212125,
        0.00191737,
        0.00183376,
        0.00184337,
        0.00199085,
        0.00201048,
        0.00190269,
        0.00172659,
        0.00162737,
        0.00159709,
        0.00148677,
        0.00164704,
        0.0017803,
        0.00166081,
        0.00166484,
        0.00174195,
        0.00167357,
        0.00162446,
        0.00173565,
        0.00169833,
        0.00164498,
        0.00162251,
        0.00170093,
        0.00168176,
        0.00192897,
        0.00161974,
        0.00149523,
        0.00153855,
        0.00166596,
        0.00174934,
        0.00166556,
        0.00157939,
        0.00178156,
        0.00228545,
        0.00244295,
        0.00358353,
        0.00375298,
        0.00303999,
        0.00220843,
        0.00177001,
        0.00176386,
        0.00172784,
        0.00170896,
        0.00200681,
        0.00232725,
        0.00222099,
        0.00214333,
        0.00183347,
        0.00167332,
        0.00153831,
        0.00146939,
        0.00161327,
        0.00152779,
        0.00164126,
        0.00167691,
        0.0015558,
        0.00153158,
        0.00154634,
        0.00141567,
        0.00135169,
        0.0015104,
        0.00163716,
        0.00183074,
        0.00217995,
        0.00259836,
        0.00235134,
        0.00188771,
        0.00153273,
        0.00145815,
        0.00152405,
        0.00156541,
        0.00166575,
        0.00167798,
        0.00159134,
        0.00134581,
        0.00156352,
        0.00161812,
        0.00152927,
        0.00162205,
        0.00151348,
        0.0014686,
        0.00151397,
        0.00147308,
        0.00141862,
        0.00150049,
        0.0016046,
        0.00151636,
        0.0013226,
        0.0015025,
        0.00182101,
        0.00199885,
        0.00180568,
        0.00163116,
        0.00156296,
        0.00155069,
        0.00148752,
        0.00157156,
        0.00208073,
        0.0026838,
        0.00264006,
        0.00197442,
        0.00153129,
        0.00150381,
        0.00170774,
        0.00155097,
        0.00152794,
        0.00150783,
        0.00156743,
        0.00180595,
        0.00201399,
        0.00218395,
        0.00226068,
        0.00190656,
        0.00201102,
        0.00157662,
        0.00164548,
        0.0015833,
        0.00202539,
        0.00246929,
        0.00293411,
        0.00268798,
        0.00208484,
        0.00168594,
        0.00166964,
        0.00174503,
        0.00158341,
        0.00149843,
        0.00153728,
        0.00164775,
        0.0013639,
        0.00142743,
        0.0016359,
        0.00131544,
        0.00133681,
        0.00142208,
        0.00140843,
        0.00158521,
        0.00185777,
        0.00183168,
        0.00161895,
        0.00162347,
        0.00173674,
        0.00183043,
        0.00214184,
        0.00231595,
        0.00208491,
        0.00183199,
        0.00178407,
        0.00175287,
        0.00164379,
        0.0015811,
        0.00162135,
        0.00167819,
        0.00179015,
        0.00207302,
        0.00249268,
        0.00311571,
        0.00583534,
        0.00370721,
        0.00242173,
        0.00183186,
        0.00178408,
        0.00172871,
        0.00167142,
        0.00171592,
        0.00173689,
        0.00171219,
        0.00165229,
        0.00175458,
        0.00173403,
        0.00177878,
        0.00166521,
        0.00171974,
        0.00205451,
        0.00258036,
        0.00337243,
        0.00338784,
        0.00257962,
        0.0020475,
        0.00211119,
        0.00208467,
        0.00186753,
        0.00205401,
        0.00184765,
        0.00201228,
        0.00193941,
        0.00199282,
        0.00213529,
        0.00201572,
        0.00181761,
        0.00166006,
        0.00170735,
        0.00172792,
        0.00163069,
        0.00174807,
        0.0018007,
        0.00244138,
        0.00241616,
        0.00258833,
        0.00249435,
        0.00244499,
        0.00229842,
        0.0022163,
        0.00215667,
        0.00204131,
        0.00192684,
        0.00196603,
        0.00213828,
        0.00244227,
        0.00288533,
        0.00326803,
        0.00273262,
        0.00220094,
        0.00226977,
        0.00309292,
        0.00403146,
        0.0037911,
        0.00286849,
        0.00231914,
        0.00223398,
        0.00227521,
        0.00235725,
        0.00236068,
        0.00229467,
        0.00225876,
        0.00220777,
        0.00213676,
        0.00200554,
        0.00196252,
        0.00196439,
        0.00225993,
        0.00225056,
        0.0021056,
        0.00188645,
        0.0018111,
        0.00187215,
        0.00172566,
        0.00187072,
        0.00186369,
        0.00183803,
        0.00191108,
        0.00187645,
        0.0019809,
        0.00197179,
        0.00194375,
        0.00188424,
        0.00189267,
        0.0019082,
        0.00187297,
        0.00188669,
        0.00200614,
        0.00209147,
        0.00231239,
        0.00254881,
        0.00308619,
        0.00338696,
        0.00309883,
        0.00309437,
        0.0036762,
        0.00457709,
        0.00441715,
        0.00357614,
        0.00302088,
        0.00282208,
        0.0030108,
        0.00359355,
        0.00380018,
        0.00410571,
        0.00423221,
        0.00483145,
        0.00522467,
        0.00654766,
        0.00709325,
        0.00800965,
        0.00629794,
        0.00505293,
        0.00411287,
        0.00382995,
        0.00356396,
        0.00313624,
        0.00344492,
        0.00423274,
        0.00474569,
        0.00384302,
        0.0028822,
        0.00255505,
        0.00231373,
        0.00208721,
        0.00207294,
        0.0020286,
        0.00189047,
        0.00201963,
        0.00199921,
        0.0018945,
        0.0019,
        0.00182858,
        0.00198939,
        0.00207293,
        0.00209331,
        0.00206553,
        0.00197237,
        0.00191151,
        0.00199564,
        0.00227221,
        0.0025564,
        0.0025415,
        0.00232057,
        0.00193863,
        0.00207967,
        0.00209003,
        0.00203728,
        0.00215494,
        0.0021488,
        0.00208928,
        0.00216805,
        0.00249366,
        0.00298967,
        0.00327746,
        0.00289302,
        0.00245646,
        0.0020839,
        0.00216025,
        0.00200594,
        0.00196171,
        0.00187399,
        0.00189897,
        0.00205745,
        0.00204949,
        0.00203679,
        0.00205786,
        0.00200542,
        0.00200962,
        0.00228135,
        0.0031739,
        0.00422503,
        0.00337252,
        0.00252968,
        0.00204197,
        0.00195336,
        0.00193785,
        0.00200872,
        0.00190912,
        0.0018417,
        0.0018062,
        0.00189772,
        0.00194099,
        0.00185172,
        0.00176914,
        0.00180443,
        0.00190805,
        0.00188701,
        0.00196866,
        0.00199977,
        0.00195355,
        0.00190454,
        0.00194791,
        0.00197825,
        0.00198903,
        0.00195249,
        0.00215436,
        0.00263283,
        0.00319034,
        0.00327015,
        0.0026948,
        0.00223986,
        0.00207086,
        0.0018395,
        0.00198533,
        0.00215689,
        0.00197599,
        0.00145684,
        0.00143093,
        0.00173081,
        0.00181219,
        0.00183409,
        0.00204455,
        0.00221411,
        0.00225598,
        0.00241215,
        0.00300466,
        0.00454872,
        0.0056567,
        0.00557297,
        0.0049126,
        0.00357303,
        0.00305745,
        0.00269881,
        0.00243378,
        0.00230455,
        0.00229672,
        0.00234876,
        0.00252672,
        0.00261891,
        0.00252757,
        0.00237828,
        0.00284194,
        0.00381854,
        0.00495785,
        0.0044954,
        0.0034981,
        0.00284513,
        0.00259429,
        0.00247331,
        0.00242773,
        0.00247418,
        0.00258237,
        0.00264836,
        0.00262309,
        0.00254673,
        0.0024382,
        0.00241305,
        0.00259516,
        0.00264359,
        0.00259202,
        0.00292399,
        0.0036435,
        0.00455877,
        0.0052619,
        0.00600371,
        0.00639716,
        0.00755468,
        0.0101562,
        0.00936089,
        0.00989864,
        0.00682817,
        0.00458404,
        0.00385842,
        0.00332696,
        0.00296835,
        0.00297156,
        0.00303751,
        0.00297267,
        0.00295664,
        0.00310833,
        0.00313907,
        0.00272015,
        0.00227141,
        0.00242826,
        0.0026854,
        0.00271357,
        0.00285214,
        0.0028006,
        0.00247913,
        0.00239788,
        0.00258971,
        0.00257575,
        0.0024206,
        0.00225346,
        0.0021397,
        0.00215745,
        0.00227468,
        0.00237521,
        0.00233314,
        0.00218011,
        0.00215569,
        0.00214344,
        0.00239475,
        0.0021802,
        0.0021416,
        0.00204313,
        0.00195778,
        0.00203635,
        0.00204389,
        0.00235128,
        0.00303729,
        0.00331181,
        0.00303091,
        0.00266758,
        0.00258875,
        0.00299781,
        0.00398694,
        0.0052417,
        0.00484477,
        0.00310323,
        0.00224838,
        0.00200206,
        0.00198745,
        0.00210325,
        0.00228201,
        0.00216144,
        0.00202823,
        0.00196019,
        0.00200733,
        0.00216683,
        0.00224997,
        0.00218946,
        0.00212213,
        0.00204022,
        0.00194604,
        0.00205745,
        0.0020369,
        0.00192949,
        0.0018058,
        0.00180472,
        0.00208958,
        0.00210921,
        0.00220724,
        0.00219283,
        0.00205267,
        0.00207311,
        0.00236807,
        0.00307645,
        0.00362237,
        0.00334168,
        0.00264951,
        0.00229601,
        0.00222634,
        0.00212251,
        0.0019818,
        0.00195939,
        0.00201239,
        0.00212292,
        0.00202298,
        0.00188371,
        0.00198489,
        0.00200686,
        0.00206533,
        0.00204724,
        0.0022295,
        0.00278328,
        0.00277759,
        0.00233981,
        0.00212113,
        0.00213666,
        0.00206366,
        0.00185627,
        0.00178534,
        0.00191335,
        0.00197526,
        0.00211724,
        0.00233266,
        0.00232535,
        0.00220042,
        0.00218625,
        0.0020796,
        0.00264216,
        0.00384208,
        0.00388171,
        0.00300768,
        0.00227779,
        0.00204291,
        0.00211574,
        0.00220866,
        0.00228797,
        0.00242126,
        0.00241166,
        0.00236081,
        0.00242542,
        0.00264568,
        0.0034824,
        0.00466576,
        0.00361661,
        0.0027526,
        0.00248828,
        0.0025126,
        0.00251266,
        0.00241071,
        0.00249211,
        0.00261988,
        0.00255285,
        0.00236734,
        0.00227793,
        0.00226477,
        0.00219633,
        0.00213518,
        0.00213911,
        0.00220177,
        0.00214087,
        0.0020703,
        0.00202455,
        0.00205574,
        0.00219581,
        0.00211872,
        0.00212177,
        0.00209603,
        0.00198812,
        0.00180946,
        0.00189406,
        0.002172,
        0.00250097,
        0.00319138,
        0.00397083,
        0.00396138,
        0.00322989,
        0.00275207,
        0.0026368,
        0.00229537,
        0.00226283,
        0.00233743,
        0.002397,
        0.0023321,
        0.00230412,
        0.00237888,
        0.00243082,
        0.002334,
        0.00228358,
        0.00251472,
        0.00273315,
        0.00289443,
        0.00300185,
        0.00329841,
        0.00392993,
        0.00451566,
        0.00548983,
        0.00741215,
        0.0058166,
        0.00475523,
        0.00390853,
        0.00345291,
        0.0034747,
        0.00392585,
        0.0047439,
        0.00525238,
        0.00454915,
        0.00333989,
        0.00304658,
        0.00278013,
        0.00247125,
        0.00241363,
        0.00254452,
        0.00259035,
        0.00236759,
        0.00214236,
        0.0022984,
        0.00274096,
        0.00322083,
        0.00308168,
        0.00264158,
        0.00234467,
        0.00225251,
        0.0023099,
        0.00237766,
        0.00230475,
        0.00223015,
        0.00236161,
        0.00244255,
        0.00222117,
        0.00205269,
        0.00201905,
        0.00209869,
        0.00242801,
        0.00240204,
        0.00251558,
        0.0034071,
        0.00537915,
        0.00583855,
        0.00430041,
        0.00301188,
        0.00249589,
        0.00225752,
        0.00215591,
        0.0020516,
        0.00199394,
        0.00207904,
        0.00209723,
        0.00211754,
        0.00208628,
        0.00208554,
        0.00213875,
        0.0020146,
        0.00175508,
        0.00183613,
        0.00203521,
        0.00241619,
        0.00221901,
        0.00207919,
        0.00195073,
        0.00179196,
        0.00185083,
        0.00180632,
        0.00194054,
        0.00194379,
        0.00187225,
        0.00196643,
        0.00202218,
        0.00201022,
        0.00201466,
        0.00201824,
        0.00201183,
        0.00202198,
        0.00196746,
        0.00197352,
        0.0019754,
        0.00192053,
        0.00194063,
        0.00197524,
        0.00212228,
        0.00227182,
        0.00300293,
        0.00370357,
        0.00308563,
        0.00232082,
        0.00202218,
        0.00198254,
        0.00209728,
        0.00231295,
        0.00275598,
        0.0036412,
        0.00405563,
        0.00337878,
        0.00288995,
        0.00258212,
        0.00236316,
        0.00211184,
        0.00199193,
        0.00195423,
        0.00203548,
        0.0019949,
        0.00198202,
        0.00186439,
        0.00197194,
        0.00184218,
        0.00187401,
        0.00194302,
        0.00177432,
        0.00168178,
        0.00187679,
        0.00195778,
        0.00203207,
        0.00198923,
        0.00193353,
        0.00209639,
        0.00221068,
        0.00205091,
        0.00210947,
        0.00208242,
        0.00223067,
        0.0023552,
        0.00264846,
        0.00310939,
        0.00396139,
        0.00379834,
        0.00282777,
        0.00216121,
        0.002029,
        0.00203135,
        0.0020621,
        0.0021649,
        0.00212855,
        0.00208736,
        0.00204454,
        0.00208825,
        0.0026761,
        0.00296458,
        0.00299779,
        0.00242979,
        0.00233901,
        0.00226967,
        0.002147,
        0.00207232,
        0.00206051,
        0.00197185,
        0.00189769,
        0.00188764,
        0.00190955,
        0.00193709,
        0.00203193,
        0.00227921,
        0.00255328,
        0.0025317,
        0.00215999,
        0.00211431,
        0.00225245,
        0.00265014,
        0.00329838,
        0.00368141,
        0.00300308,
        0.00230063,
        0.00198499,
        0.00209684,
        0.00214138,
        0.00241515,
        0.00326243,
        0.00415345,
        0.00369137,
        0.00263987,
        0.00223521,
        0.00222681,
        0.0022159,
        0.00212131,
        0.00207956,
        0.00206042,
        0.00209628,
        0.00211235,
        0.00202429,
        0.00200437,
        0.00212183,
        0.0021749,
        0.00210876,
        0.00218598,
        0.00231188,
        0.00218625,
        0.00207957,
        0.00217895,
        0.00210305,
        0.0019959,
        0.00197641,
        0.00200865,
        0.00211454,
        0.00204592,
        0.00216525,
        0.00211005,
        0.00195816,
        0.00180166,
        0.00210457,
        0.0025356,
        0.00296467,
        0.00306885,
        0.00331997,
        0.00354633,
        0.00308359,
        0.00232687,
        0.00225872,
        0.00230945,
        0.00218539,
        0.00207693,
        0.00205939,
        0.00209138,
        0.00206539,
        0.00208734,
        0.00222546,
        0.00241074,
        0.00225076,
        0.00218193,
        0.00221586,
        0.00215359,
        0.00206304,
        0.00207828,
        0.00226409,
        0.00230616,
        0.00220734,
        0.00218933,
        0.00227875,
        0.00233691,
        0.00252956,
        0.00335544,
        0.00453447,
        0.00439484,
        0.00290909,
        0.00259744,
        0.00242557,
        0.00231108,
        0.00238445,
        0.00243915,
        0.00252835,
        0.00261061,
        0.00267949,
        0.00321384,
        0.0041449,
        0.00428002,
        0.00343581,
        0.00263024,
        0.00239103,
        0.00254212,
        0.00308731,
        0.00401164,
        0.00440159,
        0.00319998,
        0.00265253,
        0.00247881,
        0.00252358,
        0.00267792,
        0.00348898,
        0.00379563,
        0.00321685,
        0.00273366,
        0.00264929,
        0.00257237,
        0.00255618,
        0.00277116,
        0.00283593,
        0.0028599,
        0.00315778,
        0.00353923,
        0.00360399,
        0.00334706,
        0.00317287,
        0.00339257,
        0.00405751,
        0.00458106,
        0.00539541,
        0.00694172,
        0.00706323,
        0.00577754,
        0.00492552,
        0.00452167,
        0.00414168,
        0.00398512,
        0.00370025,
        0.00349655,
        0.00339719,
        0.00353377,
        0.00354506,
        0.00350809,
        0.00329593,
        0.00335494,
        0.00320597,
        0.00330716,
        0.00316435,
        0.00304102,
        0.00294019,
        0.00269307,
        0.00272901,
        0.00261531,
        0.00251839,
        0.00251408,
        0.00243581,
        0.0025715,
        0.00250948,
        0.0024135,
        0.00234933,
        0.00230942,
        0.00232787,
        0.00248571,
        0.00295315,
        0.00321348,
        0.00302693,
        0.00263241,
        0.00276337,
        0.0033712,
        0.00384909,
        0.00358422,
        0.00274458,
        0.00231915,
        0.00229131,
        0.00238657,
        0.00252761,
        0.00251942,
        0.00252959,
        0.00303723,
        0.00442682,
        0.00461683,
        0.0033814,
        0.00288394,
        0.00266878,
        0.00262463,
        0.00236446,
        0.00226277,
        0.00223925,
        0.00211007,
        0.00221247,
        0.00228197,
        0.00212384,
        0.00208387,
        0.00212125,
        0.00213078,
        0.00224783,
        0.00249025,
        0.00245758,
        0.00215758,
        0.00231426,
        0.00242476,
        0.00238688,
        0.00231027,
        0.00234315,
        0.00235278,
        0.00225053,
        0.00239614,
        0.00272408,
        0.00293836,
        0.00279951,
        0.0026436,
        0.00266807,
        0.00285058,
        0.00322089,
        0.00404487,
        0.0045676,
        0.00394358,
        0.0030866,
        0.00295956,
        0.00298817,
        0.00307963,
        0.00342283,
        0.00391755,
        0.0042229,
        0.00370381,
        0.00299517,
        0.00269848,
        0.00270566,
        0.00332284,
        0.00372255,
        0.00344794,
        0.00335152,
        0.0033584,
        0.00321875,
        0.00310775,
        0.00305234,
        0.0031192,
        0.00318578,
        0.00316712,
        0.00319319,
        0.00326005,
        0.00347823,
        0.00373349,
        0.00373367,
        0.00340995,
        0.00325353,
        0.00337898,
        0.00393853,
        0.00459867,
        0.00668365,
        0.00734158,
        0.00810269,
        0.00831694,
        0.00689953,
        0.00508446,
        0.00427696,
        0.00436715,
        0.00422095,
        0.00414563,
        0.00416453,
        0.00485192,
        0.00526521,
        0.00506119,
        0.00456272,
        0.00421552,
        0.00450558,
        0.00519453,
        0.00539834,
        0.00602984,
        0.00634989,
        0.00662878,
        0.00648586,
        0.00663704,
        0.00738882,
        0.00738508,
        0.00832173,
        0.00902944,
        0.00898139,
        0.00895159,
        null,
        0.00686235,
        0.0055113,
        0.00458213,
        0.00397257,
        0.00363792,
        0.0034985,
        0.00333238,
        0.00313246,
        0.00288068,
        0.00269433,
        0.002694,
        0.00262596,
        0.00269577,
        0.00277403,
        0.0027415,
        0.00265557,
        0.00269864,
        0.00314765,
        0.00361859,
        0.00463952,
        0.00434487,
        0.00330048,
        0.00298149,
        0.00254485,
        0.00235703,
        0.00202692,
        0.00207306,
        0.00234318,
        0.00234805,
        0.00235732,
        0.00240787,
        0.00244817,
        0.00228956,
        0.00207646,
        0.00197419,
        0.00218792,
        0.00241276,
        0.00259324,
        0.00352245,
        0.00505361,
        0.00456492,
        0.00362781,
        0.00496299,
        0.00649986,
        0.00472993,
        0.0029751,
        0.00236958,
        0.00223929,
        0.00231413,
        0.00211875,
        0.00195754,
        0.00200015,
        0.00205348,
        0.0019947,
        0.00202605,
        0.00218149,
        0.00219331,
        0.00211511,
        0.00199414,
        0.00194196,
        0.00214027,
        0.00223255,
        0.00236743,
        0.00286717,
        0.00367318,
        0.00422175,
        0.00315364,
        0.00273322,
        0.00230207,
        0.00220615,
        0.00257,
        0.00362175,
        0.00368727,
        0.00277571,
        0.00229623,
        0.00198898,
        0.00210048,
        0.00212663,
        0.00196318,
        0.00192936,
        0.00202339,
        0.00204266,
        0.00193783,
        0.0019648,
        0.00209634,
        0.00214032,
        0.00221598,
        0.00220144,
        0.00202262,
        0.00187402,
        0.00209532,
        0.00216644,
        0.00209778,
        0.00198687,
        0.00186838,
        0.00222825,
        0.00241656,
        0.00250242,
        0.00234345,
        0.00221619,
        0.00238342,
        0.00232336,
        0.0025227,
        0.00284498,
        0.00285811,
        0.00269457,
        0.00245772,
        0.00228706,
        0.00216664,
        0.00218761,
        0.00234109,
        0.00234091,
        0.00251019,
        0.00284736,
        0.00344655,
        0.00370996,
        0.00305646,
        0.00249323,
        0.00230091,
        0.00233105,
        0.00228829,
        0.00241414,
        0.0023075,
        0.00231016,
        0.00252378,
        0.00300331,
        0.00338332,
        0.00311718,
        0.00262173,
        0.00243166,
        0.00236452,
        0.00235848,
        0.0022499,
        0.00218699,
        0.00214419,
        0.00204004,
        0.00205706,
        0.00209178,
        0.00222037,
        0.00227803,
        0.00231607,
        0.00218745,
        0.00212609,
        0.00209328,
        0.00225174,
        0.00228089,
        0.00213072,
        0.00210164,
        0.00220492,
        0.00204721,
        0.00198064,
        0.00207859,
        0.00204473,
        0.00226992,
        0.00238339,
        0.00223751,
        0.00230055,
        0.00246256,
        0.00248844,
        0.00249988,
        0.00258144,
        0.00252015,
        0.00254335,
        0.00341371,
        0.00459683,
        0.00454782,
        0.00359705,
        0.00341764,
        0.00351828,
        0.0029622,
        0.00267359,
        0.00249382,
        0.00230834,
        0.00235578,
        0.00239509,
        0.00284545,
        0.00243131,
        0.00228521,
        0.00281511,
        0.00359647,
        0.00433572,
        0.0045219,
        0.00380422,
        0.00331295,
        0.00313366,
        0.00274802,
        0.00257511,
        0.00265198,
        0.00267718,
        0.00267522,
        0.00253816,
        0.00265231,
        0.00262943,
        0.00275809,
        0.00305728,
        0.00409315,
        0.0059834,
        0.00496088,
        0.00446509,
        0.00452477,
        0.00304936,
        0.00256646,
        0.00227328,
        0.00248018,
        0.00227922,
        0.0020213,
        0.0020854,
        0.00191125,
        0.00209601,
        0.00223898,
        0.00223323,
        0.00220991,
        0.00203608,
        0.00207098,
        0.00213497,
        0.00195906,
        0.00194469,
        0.00205435,
        0.00202433,
        0.00185021,
        0.00192301,
        0.00206054,
        0.00209396,
        0.00195505,
        0.00198471,
        0.00224531,
        0.00244008,
        0.00288318,
        0.00242098,
        0.00238766,
        0.00218257,
        0.00219393,
        0.00214044,
        0.00210221,
        0.00231431,
        0.00217128,
        0.00225915,
        0.0023684,
        0.00227695,
        0.00230228,
        0.00253353,
        0.00310399,
        0.00331815,
        0.00287473,
        0.00254542,
        0.00238677,
        0.00209595,
        0.00207223,
        0.00223986,
        0.00218741,
        0.00208471,
        0.00185554,
        0.002085,
        0.00228961,
        0.00226329,
        0.00246387,
        0.00239987,
        0.00215038,
        0.00211,
        0.00223718,
        0.00201734,
        0.00219956,
        0.00237481,
        0.0024937,
        0.00218398,
        0.00234917,
        0.00219828,
        0.00217863,
        0.00242909,
        0.00262144,
        0.0025516,
        0.00301688,
        0.0042638,
        0.00449378,
        0.00339151,
        0.00268946,
        0.00256866,
        0.00237051,
        0.00226148,
        0.0022985,
        0.00226694,
        0.00241108,
        0.00240837,
        0.00254325,
        0.0026427,
        0.00282354,
        0.00294006,
        0.00276896,
        0.00276236,
        0.00287912,
        0.00279095,
        0.00288058,
        0.00294694,
        0.0036821,
        0.00381981,
        0.00354209,
        0.00302055,
        0.00333551,
        0.00380322,
        0.00470405,
        0.0070176,
        0.00584644,
        0.00438131,
        0.00403113,
        0.0043565,
        0.0053137,
        0.00589444,
        0.00735356,
        0.00971869,
        0.00640729,
        0.00584397,
        0.00491284,
        0.00434209,
        0.00345266,
        0.0038465,
        0.0043468,
        0.00480809,
        0.00560236,
        0.0069273,
        0.00678112,
        0.00503815,
        0.00423299,
        0.0040136,
        0.00427648,
        0.00480324,
        0.00453877,
        0.00395631,
        0.00398721,
        0.00434288,
        0.00437309,
        0.00422955,
        0.00454534,
        0.00487618,
        0.00489779,
        0.00474259,
        0.00486315,
        0.00502721,
        0.00506939,
        0.00468529,
        0.00548242,
        0.00673706,
        0.0060384,
        null,
        0.00999486,
        0.00889686,
        0.00810063,
        0.00732984,
        0.00703358,
        0.00628918,
        0.00647663,
        0.00622064,
        0.00603819,
        0.00592096,
        0.00569101,
        0.00581698,
        0.00636804,
        0.00679452,
        0.00767296,
        0.00946403,
        0.009768,
        0.00764756,
        0.00747727,
        0.00648822,
        0.00646069,
        0.00781815,
        0.00950232,
        0.00436793,
        0.00350941,
        0.00346303,
        0.00342565,
        0.00388322,
        0.00329751,
        0.0030702,
        0.00306533,
        0.00287151,
        0.00287634,
        0.0029382,
        0.00275646,
        0.00268106,
        0.00260553,
        0.00254058,
        0.00259306,
        0.00274914,
        0.00283699,
        0.00273596,
        0.00284496,
        0.00308683,
        0.00302519,
        0.00295003,
        0.00319597,
        0.00411219,
        0.00495051,
        0.00443587,
        0.00323014,
        0.00255814,
        0.00228006,
        0.00268586,
        0.00277628,
        0.00302629,
        0.00387038,
        0.00362868,
        0.00325686,
        0.00305043,
        0.00268585,
        0.00224022,
        0.00253505,
        0.00242329,
        0.00243763,
        0.00207207,
        0.00186474,
        0.00185749,
        0.00217827,
        0.00249221,
        0.00223719,
        0.00222525,
        0.0023327,
        0.00231908,
        0.0024499,
        0.00254654,
        0.0025204,
        0.00286926,
        0.00319065,
        0.00293786,
        0.00264904,
        0.00247405,
        0.00227349,
        0.00220728,
        0.00227243,
        0.002533,
        0.00229611,
        0.00240232,
        0.00225617,
        0.00207161,
        0.00228782,
        0.00256366,
        0.00240711,
        0.00274671,
        0.0025054,
        0.0024097,
        0.00264,
        0.00294444,
        0.00327641,
        0.00317207,
        0.00272121,
        0.00253007,
        0.00225031,
        0.00233409,
        0.00248351,
        0.00268186,
        0.00275846,
        0.00260954,
        0.00233947,
        0.00221033,
        0.00236708,
        0.00236416,
        0.00226403,
        0.0021975,
        0.00216445,
        0.002201,
        0.00223022,
        0.00221985,
        0.00227073,
        0.00227277,
        0.00221859,
        0.00219923,
        0.00221936,
        0.00228469,
        0.00224241,
        0.00226422,
        0.00237792,
        0.00270822,
        0.00342605,
        0.00469264,
        0.00482133,
        0.00377025,
        0.0033796,
        0.0033825,
        0.00348681,
        0.00357847,
        0.0036701,
        0.0039212,
        0.00409775,
        0.00461787,
        0.00626685,
        0.00478959,
        0.00384992,
        0.00351219,
        0.00338168,
        0.00378914,
        0.00305574,
        0.00214204,
        0.00212436,
        0.00239158,
        0.00234104,
        0.00218216,
        0.0021262,
        0.00225934,
        0.00232416,
        0.00233847,
        0.00221629,
        0.0020975,
        0.00245676,
        0.0033043,
        0.00406465,
        0.00436077,
        0.00422289,
        0.00413928,
        0.00348764,
        0.00270991,
        0.00254894,
        0.00303976,
        0.00342869,
        0.00294449,
        0.00228464,
        0.00205413,
        0.00190155,
        0.00184543,
        0.00179257,
        0.00176968,
        0.00183942,
        0.00207015,
        0.00201828,
        0.00218061,
        0.0021996,
        0.00214919,
        0.00219719,
        0.00216674,
        0.00234452,
        0.00289268,
        0.00312177,
        0.00268907,
        0.00234135,
        0.00212905,
        0.00201427,
        0.00197951,
        0.00200063,
        0.00194945,
        0.00192993,
        0.0019132,
        0.001912,
        0.00194694,
        0.00189191,
        0.0018896,
        0.00201036,
        0.00211078,
        0.00242217,
        0.00271888,
        0.00259405,
        0.00231424,
        0.00211709,
        0.00207679,
        0.0020312,
        0.002031,
        0.00215783,
        0.00226022,
        0.00224032,
        0.00222881,
        0.00212577,
        0.00206436,
        0.00211139,
        0.00211049,
        0.00229094,
        0.0023757,
        0.00215092,
        0.00223239,
        0.00222372,
        0.0023897,
        0.00220295,
        0.00234096,
        0.0031566,
        0.00333761,
        0.00298569,
        0.0022672,
        0.00203721,
        0.00206172,
        0.00208985,
        0.00220259,
        0.00222564,
        0.00220269,
        0.00240618,
        0.00277461,
        0.00329049,
        0.00334886,
        0.00287495,
        0.00250354,
        0.00235411,
        0.00224384,
        0.00229806,
        0.00228667,
        0.0022856,
        0.0022635,
        0.00241241,
        0.00243384,
        0.00231504,
        0.00227303,
        0.00222067,
        0.00200801,
        0.00215073,
        0.00239622,
        0.00262208,
        0.00323418,
        0.00368045,
        0.00318073,
        0.00260487,
        0.00274745,
        0.00310771,
        0.00325999,
        0.00325511,
        0.00344643,
        0.00412684,
        0.00475292,
        0.00529994,
        0.00620228,
        null,
        0.00597682,
        0.00486057,
        0.00434536,
        0.00424774,
        0.00389332,
        0.00341124,
        0.00330281,
        0.00337515,
        0.00319405,
        0.00291301,
        0.00262352,
        0.00248172,
        0.00254096,
        0.00278209,
        0.00310362,
        0.00324865,
        0.00352291,
        0.00431163,
        0.00460849,
        0.00352966,
        0.00297521,
        0.00309443,
        0.00339041,
        0.00353147,
        0.0035216,
        0.0037679,
        0.00412805,
        0.00460535,
        0.00539469,
        0.0094054,
        0.00642779,
        0.00581673,
        0.00506174,
        0.00413882,
        0.00355871,
        0.00328256,
        0.00317935,
        0.00299476,
        0.00273287,
        0.0025415,
        0.00293698,
        0.00329915,
        0.00277135,
        0.00248521,
        0.00239807,
        0.00215524,
        0.00214535,
        0.00218852,
        0.00221982,
        0.00224289,
        0.0022158,
        0.00210627,
        0.00221395,
        0.00215444,
        0.00196394,
        0.00186317,
        0.00185732,
        0.00202379,
        0.00191023,
        0.00201332,
        0.00222404,
        0.00230142,
        0.00211856,
        0.00215216,
        0.0020389,
        0.00196922,
        0.00235678,
        0.00292814,
        0.00277769,
        0.00221095,
        0.00194386,
        0.00181652,
        0.00166203,
        0.00182369,
        0.00206647,
        0.00192038,
        0.00182061,
        0.00200448,
        0.00211028,
        0.00198923,
        0.0020531,
        0.00199136,
        0.00188733,
        0.00197445,
        0.00210232,
        0.0020128,
        0.00191441,
        0.00188511,
        0.00186654,
        0.00191117,
        0.00206203,
        0.00225088,
        0.00252316,
        0.0023462,
        0.00216806,
        0.00250124,
        0.00341683,
        0.00384063,
        0.0032636,
        0.00270259,
        0.00253819,
        0.00272442,
        0.00334811,
        0.00379896,
        0.00404045,
        0.00446356,
        0.00564782,
        0.00797452,
        0.00624615,
        0.0052528,
        0.00456167,
        0.00418778,
        0.00433191,
        0.00436595,
        0.00377609,
        0.0030503,
        0.00272316,
        0.00273575,
        0.00274307,
        0.00263783,
        0.00250877,
        0.00248793,
        0.0027813,
        0.00290897,
        0.00271044,
        0.00264951,
        0.00276956,
        0.00280559,
        0.00259518,
        0.0024952,
        0.00250845,
        0.0024557,
        0.00252516,
        0.00292827,
        0.00345371,
        0.00381439,
        0.00364457,
        0.00307722,
        0.0033084,
        0.00441687,
        0.00416818,
        0.00320576,
        0.00267631,
        0.00229557,
        0.00207193,
        0.00202215,
        0.00213253,
        0.00234594,
        0.00231608,
        0.00212657,
        0.00207344,
        0.00213107,
        0.00214437,
        0.00215668,
        0.00213291,
        0.00210257,
        0.00214393,
        0.0024837,
        0.00302829,
        0.0030264,
        0.00253386,
        0.00222414,
        0.00215193,
        0.00206206,
        0.00226247,
        0.00241443,
        0.00256745,
        0.00236916,
        0.00219695,
        0.00223299,
        0.00224749,
        0.00234128,
        0.00231757,
        0.00218957,
        0.00211935,
        0.00224213,
        0.00242497,
        0.00239683,
        0.00242343,
        0.00245822,
        0.00240713,
        0.00252066,
        0.00267767,
        0.00248871,
        0.00227342,
        0.00243717,
        0.00260962,
        0.00255511,
        0.00252191,
        0.00284678,
        0.00318304,
        0.00320314,
        0.00331166,
        0.00352322,
        0.00406332,
        0.00494925,
        0.00581511,
        0.00638459,
        0.00875061,
        0.0090114,
        0.0101536,
        0.00836385,
        0.0051892,
        0.00354523,
        0.0027724,
        0.00262287,
        0.00259315,
        0.00265105,
        0.00298438,
        0.00282358,
        0.00219859,
        0.00196955,
        0.00200277,
        0.00201793,
        0.00201792,
        0.00199383,
        0.00197846,
        0.00204936,
        0.00214393,
        0.00216011,
        0.00223645,
        0.00218832,
        0.00195222,
        0.00190765,
        0.00199223,
        0.00202421,
        0.00195964,
        0.0019533,
        0.00211568,
        0.00211985,
        0.00196569,
        0.00182047,
        0.00176932,
        0.00184412,
        0.00187484,
        0.00175685,
        0.00175792,
        0.00195202,
        0.00223142,
        0.00262178,
        0.00271042,
        0.00246047,
        0.00216298,
        0.00192063,
        0.00207746,
        0.00225832,
        0.0020564,
        null,
        0.0033395,
        0.00412588,
        0.00459512,
        0.00329186,
        0.00263117,
        0.0025681,
        0.00234128,
        0.00221356,
        0.00206206,
        0.00205925,
        0.0021141,
        0.00213335,
        0.00196547,
        0.00190461,
        0.00196933,
        0.00200703,
        0.00205787,
        0.00220959,
        0.00224078,
        0.0025844,
        0.00278784,
        0.00252567,
        0.00236872,
        0.00208447,
        0.00210935,
        0.00203086,
        0.00199386,
        0.00203711,
        0.00230087,
        0.00222059,
        0.00220503,
        0.00186834,
        0.00178041,
        0.00184392,
        0.0018451,
        0.00191422,
        0.00179347,
        0.00181403,
        0.00175717,
        0.00187232,
        0.0018162,
        0.00177512,
        0.00205233,
        0.00201512,
        0.0017682,
        0.0017885,
        0.00172845,
        0.00155567,
        0.00169773,
        0.00181019,
        0.00184907,
        0.00195263,
        0.00185706,
        0.00188399,
        0.00196389,
        0.00179817,
        0.00170753,
        0.00184039,
        0.00183427,
        0.00187266,
        0.00236049,
        0.00265963,
        0.00213157,
        0.00175522,
        0.00161585,
        0.00169822,
        0.00167599,
        0.00171958,
        0.00178174,
        0.00173573,
        0.00180615,
        0.00181611,
        0.00183675,
        0.00186823,
        0.00183448,
        0.00202241,
        0.00220452,
        0.00202369,
        0.00186813,
        0.0018211,
        0.00183907,
        0.00193395,
        0.00205956,
        0.00200832,
        0.00206316,
        0.00212469,
        0.00242878,
        0.00326969,
        0.00334707,
        0.00246483,
        0.00217212,
        0.0022805,
        0.00225316,
        0.0023993,
        0.00250603,
        0.0025093,
        0.00259538,
        0.00258172,
        0.00279655,
        0.00329306,
        0.0035976,
        0.00372563,
        0.00380635,
        0.00391663,
        0.00406245,
        0.00418042,
        0.00515631,
        0.00674922,
        0.00930656,
        0.00658684,
        0.0049933,
        0.00433848,
        0.00400242,
        0.0035259,
        0.00314249,
        0.00282072,
        0.00270264,
        0.00272648,
        0.00258689,
        0.00238069,
        0.00227488,
        0.00227065,
        0.00224102,
        0.0022144,
        0.00211834,
        0.00205036,
        0.00216364,
        0.002218,
        0.00218543,
        0.00239332,
        0.00301219,
        0.00365767,
        0.00385772,
        0.00376844,
        0.00308425,
        0.00235274,
        0.00205104,
        0.00198429,
        0.00201169,
        0.00216793,
        0.00261709,
        0.00279373,
        0.00250408,
        0.00205725,
        0.00183877,
        0.00183076,
        0.00185241,
        0.00188607,
        0.0018947,
        0.00195208,
        0.00193887,
        0.0019554,
        0.0018581,
        0.00182207,
        0.00194789,
        0.00228276,
        0.00271114,
        0.00283204,
        0.00267104,
        0.00243097,
        0.00217493,
        0.00191273,
        0.00180025,
        0.00186756,
        0.00186665,
        0.00182424,
        0.00198467,
        0.00222656,
        0.00236976,
        0.00257702,
        0.00255412,
        0.00245735,
        0.00223227,
        0.00237311,
        0.00247797,
        0.00222876,
        0.00211078,
        0.00216432,
        0.00202756,
        0.00183382,
        0.00191428,
        0.001844,
        0.00205337,
        0.00214608,
        0.00191107,
        0.00180692,
        0.0019508,
        0.00216886,
        0.00203964,
        0.00190525,
        0.00196791,
        0.00205436,
        0.00205806,
        0.00218288,
        0.00234514,
        0.00236654,
        0.00231695,
        0.00225016,
        0.0019989,
        0.00197916,
        0.0020346,
        0.00201443,
        0.00215904,
        0.00247982,
        0.00317885,
        0.00366041,
        0.0030756,
        0.00245008,
        0.002045,
        0.00203995,
        0.00199972,
        0.00202853,
        0.00202508,
        0.00190194,
        0.0018809,
        0.00196526,
        0.00196018,
        0.00188212,
        0.00204534,
        0.00203179,
        0.0019631,
        0.001981,
        0.00197623,
        0.0020704,
        0.00204163,
        0.00196812,
        0.00194552,
        0.00212482,
        0.00209969,
        0.00223607,
        0.00248806,
        0.00223408,
        0.00218579,
        0.00215977,
        0.00216845,
        0.0021554,
        0.00211238,
        0.00231159,
        0.00225359,
        0.00210311,
        0.0022448,
        0.00221404,
        0.0026015,
        0.00283951,
        0.00247915,
        0.00224813,
        0.00221398,
        0.00215938,
        0.00215325,
        0.00232112,
        0.00234827,
        0.00233421,
        0.0021365,
        0.00197731,
        0.00199967,
        0.00231139,
        0.00324933,
        0.0032341,
        0.00281197,
        0.00225996,
        0.00208998,
        0.00207882,
        0.00225617,
        0.00237027,
        0.00238486,
        0.00236839,
        0.00233909,
        0.00229202,
        0.00267375,
        0.00275416,
        0.0032855,
        0.00454577,
        0.00454171,
        0.00386819,
        0.00357106,
        0.00371861,
        0.00418901,
        0.00388472,
        0.00369945,
        0.00398315,
        0.00406828,
        0.00429284,
        0.00529206,
        0.00741023,
        0.00887718,
        0.00736804,
        0.00542678,
        0.00493809,
        0.0049239,
        0.00508965,
        0.00439536,
        0.00361942,
        0.00334004,
        0.00296678,
        0.00272917,
        0.00264696,
        0.0024326,
        0.00250165,
        0.00242227,
        0.00251963,
        0.0027555,
        0.00289481,
        0.00269404,
        0.00264394,
        0.00251357,
        0.00259749,
        0.00266183,
        0.0024811,
        0.00261618,
        0.00268556,
        0.00298276,
        0.00337075,
        0.00359832,
        0.00376204,
        0.00409735,
        0.00493551,
        0.00615995,
        0.00867945,
        0.00996982,
        0.0075373,
        0.00607278,
        0.00548143,
        0.00564536,
        0.00608206,
        0.00648178,
        0.00749308,
        0.00932089,
        0.0104082,
        0.010987,
        0.0122477,
        0.0151858,
        0.016951,
        0.0156055,
        0.0136477,
        0.0112961,
        0.00961955,
        0.00878237,
        0.00823961,
        0.0070826,
        0.00576368,
        0.0046718,
        0.0043573,
        0.00411857,
        0.00380049,
        0.00368446,
        0.00323721,
        0.00312387,
        0.00314663,
        0.0033529,
        0.00364626,
        0.00343491,
        0.00302225,
        0.00282324,
        0.00261888,
        0.00245564,
        0.00242936,
        0.00241414,
        0.00225485,
        0.00216672,
        0.00210859,
        0.00213286,
        0.00228622,
        0.00221458,
        0.00210838,
        0.00193374,
        0.00196849,
        0.00200889,
        0.00187635,
        0.00183468,
        0.0019398,
        0.0020679,
        0.0021448,
        0.00215781,
        0.00214461,
        0.00248351,
        0.00239741,
        0.002098,
        0.00213512,
        0.00188335,
        0.00183213,
        0.00195153,
        0.00207206,
        0.0018431,
        0.0021446,
        0.00210843,
        0.0019874,
        0.00178262,
        0.00178445,
        0.0017823,
        0.00174366,
        0.00183636,
        0.00193628,
        0.00183075,
        0.00189775,
        0.00188892,
        0.00200864,
        0.00197347,
        0.00199909,
        0.00198528,
        0.00199922,
        0.0023318,
        0.00228711,
        0.00275206,
        0.00229464,
        0.00246178,
        0.00218713,
        0.0022931,
        0.0019745,
        0.00262283,
        0.00315162,
        0.00338138,
        0.00299611,
        0.00237671,
        0.00236375,
        0.00234865,
        0.00226728,
        0.00227209,
        0.0020612,
        0.00208919,
        0.00234975,
        0.00254865,
        0.00285731,
        0.00301867,
        0.00248856,
        0.00233955,
        0.00235468,
        0.0025082,
        0.00266106,
        0.00276167,
        0.00263078,
        0.00250587,
        0.00260786,
        0.00291688,
        0.00349567,
        0.00356711,
        0.00323891,
        0.0029031,
        0.00279157,
        0.0028921,
        0.00289791,
        0.00296428,
        0.00305475,
        0.00313588,
        0.00320696,
        0.00332096,
        0.0037036,
        0.00364296,
        0.00327994,
        0.00327974,
        0.00342645,
        0.00359147,
        0.00392728,
        0.00455979,
        0.00465778,
        0.00482766,
        0.00700185,
        0.00988722,
        0.00956759,
        0.00695509,
        0.00586265,
        0.00457993,
        0.00418729,
        0.00424745,
        0.00410817,
        0.00385547,
        0.00378041,
        0.00323138,
        0.00270007,
        0.00263082,
        0.00268136,
        0.00244609,
        0.00261722,
        0.00320513,
        0.00318189,
        0.00257724,
        0.0023441,
        0.00245523,
        0.00290309,
        0.00216201,
        0.00255266,
        0.00231824,
        0.00242843,
        0.00220588,
        0.00199585,
        0.00194585,
        0.00221703,
        0.00240387,
        0.0021482,
        0.00181436,
        0.00205689,
        0.00216047,
        0.00215762,
        0.0021556,
        0.00209726,
        0.00227124,
        0.00233453,
        0.00227769,
        0.00223724,
        0.0020553,
        0.00213627,
        0.00239469,
        0.00236705,
        0.00224761,
        0.00244241,
        0.00245039,
        0.0023886,
        0.00301994,
        0.00365488,
        0.00324181,
        0.00266022,
        0.00268691,
        0.00298223,
        0.00272182,
        0.00229099,
        0.00240081,
        0.00260881,
        0.00244355,
        0.00197798,
        0.00211672,
        0.00203597,
        0.00188181,
        0.00207738,
        0.00211258,
        0.00227515,
        0.00204044,
        0.00195657,
        0.00228739,
        0.00299034,
        0.00291559,
        0.00241467,
        0.00215012,
        0.00215996,
        0.00205167,
        0.00200842,
        0.00234548,
        0.00213947,
        0.00206859,
        0.0023113,
        0.00291014,
        0.0030327,
        0.00377385,
        0.00274846,
        0.00276206,
        0.00254378,
        0.00215449,
        0.00223643,
        0.00216859,
        0.00240041,
        0.00226522,
        0.002141,
        0.0022316,
        0.00220931,
        0.00240385,
        0.00219557,
        0.00242454,
        0.00252268,
        0.00243351,
        0.00271099,
        0.00255802,
        0.0022828,
        0.00228054,
        0.00243534,
        0.00256376,
        0.00257041,
        0.00274188,
        0.00280288,
        0.00284712,
        0.00360242,
        0.00439957,
        0.00404915,
        0.00325559,
        0.00283817,
        0.0025564,
        0.00229199,
        0.00243029,
        0.00263095,
        0.00259641,
        0.00239066,
        0.00260185,
        0.0024447,
        0.00229762,
        0.00208482,
        0.00232007,
        0.00241208,
        0.00243346,
        0.0023949,
        0.00249961,
        0.00232531,
        0.00244541,
        0.00245724,
        0.00231641,
        0.0023108,
        0.00263044,
        0.00319375,
        0.00301844,
        0.00336181,
        0.00327515,
        0.00289304,
        0.00263917,
        0.00266825,
        0.00245348,
        0.00237129,
        0.002451,
        0.0027089,
        0.00235014,
        0.00282434,
        0.00253882,
        0.00277448,
        0.00280374,
        0.00301356,
        0.00275923,
        0.00259776,
        0.00283915,
        0.00274225,
        0.00263721,
        0.00296151,
        0.00343422,
        0.0036649,
        0.00457965,
        0.00502923,
        0.00499548,
        0.00556564,
        0.00571831,
        0.00501928,
        0.00450178,
        0.00447754,
        0.00554624,
        0.00551817,
        0.0047457,
        0.00437935,
        0.00484483,
        0.00531241,
        0.0059475,
        0.00668867,
        0.00752955,
        0.00642645,
        0.00549899,
        0.00580964,
        0.00575583,
        0.00653946,
        0.00661633,
        0.0075974,
        0.00510797,
        0.00496175,
        0.00436236,
        0.00422312,
        0.00390896,
        0.00369379,
        0.00396582,
        0.00453912,
        0.00365352,
        0.00321235,
        0.00333409,
        0.00337589,
        0.0033529,
        0.00294693,
        0.00325291,
        0.00376327,
        0.00350303,
        0.00357672,
        0.00438952,
        0.00496992,
        0.00604202,
        0.00809689,
        0.0102063,
        0.0091845,
        0.00599286,
        0.00693119,
        0.00714714,
        0.00762787,
        0.0061477,
        0.00562289,
        0.0052347,
        0.00647276,
        0.00731534,
        0.00869904,
        0.0110179,
        0.0120878,
        0.011389,
        0.00984006,
        0.0112024,
        0.00812925,
        0.00767422,
        0.00758291,
        0.00860078,
        null,
        0.00918473,
        0.00837118,
        0.00680467,
        0.00672474,
        0.00534409,
        0.00664255,
        0.00745719,
        0.00684294,
        null,
        0.0130573,
        0.0113618,
        0.0102326,
        0.00807314,
        0.0089043,
        0.00712801,
        0.00668119,
        0.00619691,
        0.00512677,
        0.00517178,
        0.00491584,
        0.00475709,
        0.00437244,
        0.00377004,
        0.00370871,
        0.0036688,
        0.00318229,
        0.00317945,
        0.00338181,
        0.00316243,
        0.00325986,
        0.00344384,
        0.00335342,
        0.00309603,
        0.00288707,
        0.00309587,
        0.00299319,
        0.00289095
    ]
}