GET /api/crires_4646nm_4994nm_iras_18274plus0112/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.645569648712175,
        4.645589734133401,
        4.645609819554627,
        4.645629904975854,
        4.645649990397079,
        4.6456700758183045,
        4.645690161239531,
        4.645710246660757,
        4.645730332081983,
        4.645750417503208,
        4.645770502924434,
        4.64579058834566,
        4.645810673766886,
        4.645830759188112,
        4.646192296770177,
        4.646212382191403,
        4.646232467612628,
        4.646252553033855,
        4.6462726384550805,
        4.646292723876306,
        4.646312809297532,
        4.646332894718758,
        4.6463529801399845,
        4.646373065561209,
        4.646393150982436,
        4.646413236403662,
        4.646433321824887,
        4.646453407246113,
        4.646473492667338,
        4.646493578088566,
        4.646513663509791,
        4.646533748931017,
        4.646553834352242,
        4.646573919773469,
        4.646594005194695,
        4.64661409061592,
        4.6466341760371455,
        4.646654261458372,
        4.646674346879598,
        4.646694432300823,
        4.6467145177220495,
        4.646734603143275,
        4.646754688564502,
        4.646774773985727,
        4.646794859406952,
        4.646814944828179,
        4.646835030249404,
        4.646855115670631,
        4.646875201091856,
        4.646895286513082,
        4.646915371934308,
        4.646935457355533,
        4.64695554277676,
        4.6469756281979855,
        4.646995713619211,
        4.647015799040437,
        4.647035884461663,
        4.6470559698828895,
        4.647076055304115,
        4.64709614072534,
        4.647116226146566,
        4.647136311567793,
        4.647156396989018,
        4.647176482410244,
        4.647196567831469,
        4.647216653252697,
        4.6472367386739215,
        4.647256824095148,
        4.647276909516374,
        4.647296994937599,
        4.6473170803588255,
        4.64733716578005,
        4.647357251201277,
        4.647377336622503,
        4.647397422043729,
        4.647417507464954,
        4.647437592886181,
        4.647457678307406,
        4.647477763728632,
        4.6474978491498575,
        4.647517934571084,
        4.64753801999231,
        4.647558105413535,
        4.6475781908347615,
        4.647598276255987,
        4.647618361677214,
        4.647638447098439,
        4.647658532519664,
        4.647678617940891,
        4.647698703362116,
        4.647718788783343,
        4.647738874204568,
        4.647758959625794,
        4.64777904504702,
        4.647799130468245,
        4.647819215889472,
        4.647839301310698,
        4.647859386731923,
        4.647879472153149,
        4.647899557574375,
        4.647919642995602,
        4.647939728416827,
        4.647959813838052,
        4.647979899259278,
        4.647999984680505,
        4.6480200701017305,
        4.648040155522956,
        4.648060240944181,
        4.648080326365409,
        4.648100411786634,
        4.648120497207859,
        4.648140582629085,
        4.648160668050311,
        4.648180753471538,
        4.6482008388927625,
        4.648220924313988,
        4.648241009735215,
        4.648261095156441,
        4.6482811805776665,
        4.648301265998892,
        4.648321351420118,
        4.648341436841344,
        4.64836152226257,
        4.648381607683795,
        4.648401693105022,
        4.648421778526247,
        4.648441863947474,
        4.6484619493686985,
        4.648482034789925,
        4.648502120211151,
        4.648522205632376,
        4.6485422910536025,
        4.648562376474828,
        4.648582461896055,
        4.64860254731728,
        4.648622632738506,
        4.648642718159732,
        4.648662803580957,
        4.648682889002184,
        4.648702974423409,
        4.648723059844635,
        4.648743145265861,
        4.648763230687087,
        4.648783316108312,
        4.648803401529539,
        4.648823486950764,
        4.64884357237199,
        4.648863657793216,
        4.648883743214442,
        4.648903828635668,
        4.648923914056893,
        4.648943999478121,
        4.648964084899346,
        4.648984170320571,
        4.649004255741797,
        4.649024341163023,
        4.64904442658425,
        4.6490645120054745,
        4.6490845974267,
        4.649104682847927,
        4.649124768269153,
        4.6491448536903786,
        4.6491649391116034,
        4.64918502453283,
        4.649205109954056,
        4.649225195375282,
        4.6492452807965075,
        4.649265366217734,
        4.649285451638959,
        4.649305537060186,
        4.649325622481411,
        4.649345707902637,
        4.649365793323863,
        4.649385878745088,
        4.649405964166315,
        4.64942604958754,
        4.649446135008766,
        4.649466220429992,
        4.649486305851218,
        4.649506391272444,
        4.649526476693669,
        4.649546562114895,
        4.649566647536121,
        4.6495867329573475,
        4.649606818378573,
        4.64976750174838,
        4.649787587169605,
        4.649807672590832,
        4.649827758012058,
        4.649847843433283,
        4.649867928854509,
        4.649888014275734,
        4.649908099696962,
        4.649928185118187,
        4.649948270539412,
        4.649968355960638,
        4.649988441381865,
        4.650008526803091,
        4.6500286122243155,
        4.650048697645541,
        4.650068783066768,
        4.650088868487994,
        4.6501089539092195,
        4.650129039330445,
        4.650149124751671,
        4.650169210172898,
        4.650189295594123,
        4.6502093810153475,
        4.650229466436575,
        4.6502495518578,
        4.650269637279027,
        4.6502897227002515,
        4.650309808121478,
        4.650329893542704,
        4.65034997896393,
        4.6503700643851555,
        4.650390149806381,
        4.650410235227607,
        4.650430320648833,
        4.650450406070059,
        4.650470491491285,
        4.650490576912511,
        4.650510662333736,
        4.650530747754964,
        4.6505508331761884,
        4.650570918597414,
        4.65059100401864,
        4.650611089439866,
        4.6506311748610925,
        4.650651260282317,
        4.650671345703544,
        4.65069143112477,
        4.650711516545995,
        4.650731601967221,
        4.650751687388446,
        4.650771772809674,
        4.650791858230899,
        4.6508119436521245,
        4.65083202907335,
        4.650852114494577,
        4.650872199915802,
        4.650892285337028,
        4.650912370758253,
        4.65093245617948,
        4.650952541600706,
        4.650972627021931,
        4.650992712443157,
        4.651012797864383,
        4.65103288328561,
        4.651052968706835,
        4.65107305412806,
        4.651093139549287,
        4.651113224970512,
        4.651133310391739,
        4.651153395812964,
        4.65117348123419,
        4.651193566655416,
        4.651213652076642,
        4.651233737497868,
        4.651253822919093,
        4.651273908340319,
        4.651293993761545,
        4.651314079182771,
        4.651334164603997,
        4.651354250025223,
        4.651374335446448,
        4.651394420867675,
        4.6514145062889005,
        4.651434591710126,
        4.651454677131352,
        4.651474762552577,
        4.6514948479738045,
        4.651514933395029,
        4.651535018816256,
        4.651555104237481,
        4.651575189658707,
        4.651595275079933,
        4.651615360501158,
        4.651635445922384,
        4.651655531343611,
        4.6516756167648365,
        4.651695702186062,
        4.651715787607288,
        4.651735873028514,
        4.65175595844974,
        4.651776043870965,
        4.651796129292191,
        4.651816214713418,
        4.651836300134643,
        4.6518563855558694,
        4.651876470977094,
        4.651896556398322,
        4.651916641819547,
        4.651936727240772,
        4.651956812661998,
        4.651976898083224,
        4.651996983504451,
        4.652017068925676,
        4.6520371543469015,
        4.652057239768128,
        4.652077325189354,
        4.65209741061058,
        4.652117496031805,
        4.652137581453031,
        4.652157666874257,
        4.652177752295483,
        4.6521978377167095,
        4.652217923137935,
        4.65223800855916,
        4.652258093980386,
        4.652278179401613,
        4.6522982648228375,
        4.652318350244064,
        4.652338435665289,
        4.652358521086517,
        4.6523786065077415,
        4.652398691928967,
        4.652418777350193,
        4.652438862771419,
        4.6524589481926455,
        4.65247903361387,
        4.652499119035096,
        4.652519204456323,
        4.652539289877549,
        4.652559375298774,
        4.65257946072,
        4.652599546141226,
        4.652619631562452,
        4.6526397169836775,
        4.652659802404903,
        4.65267988782613,
        4.652699973247355,
        4.6527200586685815,
        4.652740144089806,
        4.652760229511034,
        4.652780314932259,
        4.652800400353484,
        4.65282048577471,
        4.652840571195936,
        4.652860656617163,
        4.652880742038388,
        4.6529008274596135,
        4.65292091288084,
        4.652940998302065,
        4.652961083723292,
        4.652981169144517,
        4.653001254565743,
        4.653021339986969,
        4.653041425408195,
        4.65306151082942,
        4.653081596250647,
        4.653101681671872,
        4.653121767093098,
        4.653141852514324,
        4.6531619379355496,
        4.653182023356776,
        4.653202108778001,
        4.653222194199228,
        4.653242279620454,
        4.653262365041679,
        4.653282450462905,
        4.65330253588413,
        4.653322621305358,
        4.6533427067265825,
        4.653362792147808,
        4.653382877569034,
        4.653402962990261,
        4.6534230484114865,
        4.653443133832712,
        4.653463219253937,
        4.653483304675164,
        4.65350339009639,
        4.653523475517615,
        4.653543560938841,
        4.653563646360067,
        4.653583731781294,
        4.6536038172025185,
        4.653623902623745,
        4.653643988044971,
        4.653664073466196,
        4.6536841588874225,
        4.653704244308647,
        4.653724329729874,
        4.6537444151511,
        4.653764500572326,
        4.653784585993551,
        4.653804671414777,
        4.653824756836003,
        4.653844842257229,
        4.653864927678455,
        4.653885013099681,
        4.653905098520907,
        4.653925183942132,
        4.653945269363359,
        4.653965354784584,
        4.65398544020581,
        4.654005525627036,
        4.654025611048262,
        4.654045696469488,
        4.654065781890713,
        4.65408586731194,
        4.654105952733166,
        4.654126038154391,
        4.654146123575617,
        4.654166208996842,
        4.65418629441807,
        4.6542063798392945,
        4.65422646526052,
        4.654246550681746,
        4.654266636102973,
        4.6542867215241985,
        4.654306806945424,
        4.654326892366649,
        4.654346977787876,
        4.654367063209102,
        4.6543871486303265,
        4.654407234051553,
        4.654427319472779,
        4.654447404894006,
        4.6544674903152305,
        4.654487575736455,
        4.654507661157683,
        4.654527746578908,
        4.6545478320001346,
        4.6545679174213594,
        4.654588002842586,
        4.654608088263812,
        4.654628173685038,
        4.6546482591062635,
        4.654668344527489,
        4.654688429948715,
        4.654708515369941,
        4.654728600791167,
        4.654748686212393,
        4.654768771633619,
        4.654788857054844,
        4.654808942476071,
        4.654829027897296,
        4.654849113318522,
        4.654869198739748,
        4.654889284160973,
        4.6549093695822,
        4.654929455003425,
        4.654949540424652,
        4.654969625845877,
        4.6549897112671035,
        4.655009796688329,
        4.655029882109554,
        4.655049967530781,
        4.655070052952007,
        4.655090138373232,
        4.655110223794458,
        4.655130309215684,
        4.65515039463691,
        4.6551704800581355,
        4.655190565479361,
        4.655210650900587,
        4.655230736321814,
        4.655250821743039,
        4.655270907164265,
        4.65529099258549,
        4.655311078006718,
        4.655331163427943,
        4.6553512488491675,
        4.655371334270394,
        4.65539141969162,
        4.655411505112847,
        4.6554315905340715,
        4.655451675955297,
        4.655471761376524,
        4.65549184679775,
        4.6555119322189755,
        4.655532017640201,
        4.655552103061427,
        4.655572188482653,
        4.655592273903879,
        4.655612359325105,
        4.655632444746331,
        4.655652530167556,
        4.655672615588783,
        4.655692701010008,
        4.655712786431234,
        4.65573287185246,
        4.655752957273685,
        4.655773042694912,
        4.655793128116137,
        4.655813213537363,
        4.655833298958589,
        4.655853384379815,
        4.655873469801041,
        4.655893555222266,
        4.655913640643492,
        4.655933726064719,
        4.6559538114859444,
        4.65597389690717,
        4.655993982328396,
        4.656014067749622,
        4.656034153170848,
        4.656054238592073,
        4.656074324013299,
        4.656094409434526,
        4.656114494855751,
        4.656134580276977,
        4.656154665698202,
        4.65617475111943,
        4.656194836540655,
        4.65621492196188,
        4.656235007383106,
        4.656255092804332,
        4.656275178225559,
        4.656295263646784,
        4.656315349068009,
        4.656335434489236,
        4.656355519910462,
        4.656375605331688,
        4.6563956907529125,
        4.656415776174139,
        4.656435861595365,
        4.656455947016591,
        4.6564760324378165,
        4.656496117859043,
        4.656516203280268,
        4.656536288701495,
        4.65655637412272,
        4.656576459543945,
        4.656596544965172,
        4.656616630386397,
        4.656636715807624,
        4.656656801228849,
        4.656676886650075,
        4.656696972071301,
        4.656717057492526,
        4.656737142913753,
        4.656757228334978,
        4.656777313756204,
        4.65679739917743,
        4.6568174845986565,
        4.656837570019882,
        4.656857655441108,
        4.656877740862333,
        4.65689782628356,
        4.656917911704785,
        4.656937997126011,
        4.656958082547237,
        4.656978167968463,
        4.656998253389689,
        4.657018338810914,
        4.657038424232141,
        4.657279449286851,
        4.657299534708077,
        4.657319620129303,
        4.657339705550528,
        4.657359790971755,
        4.65737987639298,
        4.657399961814207,
        4.657420047235432,
        4.6574401326566575,
        4.657460218077884,
        4.657480303499109,
        4.657500388920336,
        4.6575204743415615,
        4.657540559762787,
        4.657560645184013,
        4.657580730605238,
        4.6576008160264655,
        4.65762090144769,
        4.657640986868916,
        4.6578619265024015,
        4.657882011923626,
        4.657902097344853,
        4.657922182766079,
        4.657942268187304,
        4.65796235360853,
        4.657982439029755,
        4.658002524450982,
        4.658022609872208,
        4.6580426952934335,
        4.658062780714659,
        4.658082866135886,
        4.658102951557111,
        4.658123036978337,
        4.658143122399562,
        4.658163207820789,
        4.658183293242015,
        4.65820337866324,
        4.658223464084466,
        4.658243549505692,
        4.658263634926918,
        4.658283720348144,
        4.658303805769369,
        4.658323891190596,
        4.658343976611821,
        4.658364062033048,
        4.658384147454273,
        4.658404232875499,
        4.658424318296725,
        4.65844440371795,
        4.658464489139177,
        4.658484574560402,
        4.658504659981628,
        4.658524745402854,
        4.65854483082408,
        4.658564916245306,
        4.658585001666532,
        4.658605087087757,
        4.658625172508983,
        4.65864525793021,
        4.6586653433514345,
        4.658685428772661,
        4.658705514193886,
        4.658725599615114,
        4.6587456850363385,
        4.658765770457564,
        4.658785855878791,
        4.658805941300016,
        4.6588260267212425,
        4.658846112142467,
        4.658866197563694,
        4.65888628298492,
        4.658906368406146,
        4.658926453827371,
        4.658946539248597,
        4.658966624669823,
        4.658986710091049,
        4.6590067955122745,
        4.659026880933501,
        4.659046966354727,
        4.659067051775952,
        4.6590871371971785,
        4.659107222618404,
        4.65912730803963,
        4.659147393460856,
        4.659167478882081,
        4.659187564303308,
        4.659207649724533,
        4.65922773514576,
        4.659247820566985,
        4.659267905988211,
        4.659287991409437,
        4.659308076830662,
        4.659328162251888,
        4.6593482476731145,
        4.65936833309434,
        4.659388418515566,
        4.659408503936792,
        4.659428589358018,
        4.659448674779244,
        4.659468760200469,
        4.659488845621695,
        4.659508931042922,
        4.6595290164641465,
        4.659549101885373,
        4.659569187306598,
        4.659589272727826,
        4.6596093581490505,
        4.659629443570275,
        4.659649528991502,
        4.659669614412728,
        4.6596896998339545,
        4.659709785255179,
        4.659729870676405,
        4.659749956097632,
        4.659770041518858,
        4.659790126940083,
        4.659810212361308,
        4.659830297782535,
        4.659850383203761,
        4.6598704686249866,
        4.659890554046212,
        4.659910639467439,
        4.659930724888664,
        4.659950810309891,
        4.6599708957311154,
        4.659990981152342,
        4.660011066573568,
        4.660031151994793,
        4.6600512374160195,
        4.660071322837245,
        4.660091408258471,
        4.660111493679697,
        4.660131579100923,
        4.660151664522149,
        4.660171749943374,
        4.6601918353646,
        4.660211920785826,
        4.660232006207052,
        4.660252091628278,
        4.660272177049504,
        4.660292262470729,
        4.660312347891956,
        4.660332433313181,
        4.660352518734407,
        4.660372604155633,
        4.660392689576859,
        4.660412774998085,
        4.66043286041931,
        4.660452945840538,
        4.660473031261763,
        4.6604931166829875,
        4.660513202104214,
        4.66053328752544,
        4.660553372946667,
        4.6605734583678915,
        4.660593543789117,
        4.660613629210344,
        4.66063371463157,
        4.6606538000527955,
        4.66067388547402,
        4.660693970895247,
        4.660714056316473,
        4.660734141737699,
        4.6607542271589235,
        4.660774312580151,
        4.660794398001376,
        4.660814483422603,
        4.6608345688438275,
        4.660854654265053,
        4.66087473968628,
        4.660894825107505,
        4.6609149105287315,
        4.660934995949957,
        4.660955081371183,
        4.660975166792409,
        4.660995252213635,
        4.661015337634861,
        4.661035423056086,
        4.661055508477312,
        4.661075593898538,
        4.661095679319764,
        4.66111576474099,
        4.661135850162216,
        4.661155935583441,
        4.6611760210046675,
        4.661196106425893,
        4.661557644007958,
        4.661577729429185,
        4.661597814850411,
        4.661617900271636,
        4.661637985692862,
        4.661658071114088,
        4.661678156535315,
        4.66169824195654,
        4.6617183273777645,
        4.661738412798992,
        4.661758498220217,
        4.661778583641444,
        4.6617986690626685,
        4.661818754483895,
        4.661838839905121,
        4.661858925326346,
        4.6618790107475725,
        4.661899096168798,
        4.661919181590024,
        4.66193926701125,
        4.661959352432476,
        4.661979437853702,
        4.661999523274928,
        4.662019608696153,
        4.66203969411738,
        4.662059779538605,
        4.662079864959831,
        4.662099950381057,
        4.662120035802283,
        4.662140121223509,
        4.662160206644734,
        4.66218029206596,
        4.662200377487187,
        4.662220462908412,
        4.662240548329638,
        4.662260633750863,
        4.66228071917209,
        4.662300804593316,
        4.662320890014541,
        4.662340975435767,
        4.662361060856994,
        4.662381146278219,
        4.6624012316994445,
        4.66242131712067,
        4.662441402541897,
        4.662461487963123,
        4.662481573384348,
        4.662501658805574,
        4.6625217442268,
        4.662541829648027,
        4.662561915069252,
        4.6625820004904766,
        4.662602085911704,
        4.662622171332929,
        4.662642256754156,
        4.662662342175381,
        4.662682427596607,
        4.662702513017833,
        4.662722598439058,
        4.662742683860285,
        4.66276276928151,
        4.662782854702736,
        4.662802940123962,
        4.662823025545188,
        4.662843110966414,
        4.66286319638764,
        4.662883281808865,
        4.662903367230091,
        4.6629234526513175,
        4.662943538072542,
        4.662963623493769,
        4.662983708914994,
        4.6630037943362215,
        4.663023879757446,
        4.663043965178672,
        4.663064050599898,
        4.663084136021124,
        4.66310422144235,
        4.663124306863575,
        4.663144392284801,
        4.663164477706028,
        4.6631845631272535,
        4.663204648548479,
        4.663224733969705,
        4.663244819390931,
        4.663264904812157,
        4.663284990233382,
        4.663305075654608,
        4.663325161075835,
        4.66334524649706,
        4.663365331918286,
        4.663385417339511,
        4.663405502760739,
        4.663425588181964,
        4.663445673603189,
        4.663465759024415,
        4.663485844445641,
        4.663505929866868,
        4.663526015288093,
        4.663546100709318,
        4.663566186130545,
        4.66358627155177,
        4.663606356972996,
        4.6636264423942215,
        4.663646527815448,
        4.663666613236674,
        4.6636866986579,
        4.6637067840791255,
        4.663726869500352,
        4.663746954921577,
        4.663767040342803,
        4.6637871257640295,
        4.663807211185254,
        4.663827296606481,
        4.663847382027706,
        4.6638674674489335,
        4.663887552870158,
        4.663907638291384,
        4.66392772371261,
        4.663947809133836,
        4.663967894555062,
        4.663987979976287,
        4.664008065397513,
        4.66402815081874,
        4.664048236239966,
        4.664068321661191,
        4.664088407082417,
        4.664108492503643,
        4.664128577924869,
        4.6641486633460945,
        4.66416874876732,
        4.664188834188547,
        4.664208919609772,
        4.6642290050309985,
        4.664249090452223,
        4.664269175873449,
        4.664289261294676,
        4.664309346715901,
        4.664329432137127,
        4.664349517558353,
        4.664369602979579,
        4.664389688400805,
        4.6644097738220305,
        4.664429859243257,
        4.664449944664482,
        4.664470030085708,
        4.664490115506934,
        4.66451020092816,
        4.664530286349386,
        4.664550371770612,
        4.664570457191837,
        4.664590542613064,
        4.664610628034289,
        4.664630713455515,
        4.664650798876741,
        4.6646708842979665,
        4.664690969719193,
        4.664711055140418,
        4.664731140561645,
        4.6647512259828705,
        4.664771311404096,
        4.664791396825322,
        4.664811482246547,
        4.6648315676677745,
        4.664851653088999,
        4.664871738510225,
        4.664891823931451,
        4.664911909352678,
        4.664931994773903,
        4.664952080195128,
        4.664972165616354,
        4.664992251037581,
        4.6650123364588065,
        4.665032421880031,
        4.665052507301258,
        4.665072592722484,
        4.6650926781437105,
        4.665112763564935,
        4.66513284898616,
        4.665152934407388,
        4.665173019828613,
        4.665193105249839,
        4.665213190671064,
        4.665233276092291,
        4.665253361513517,
        4.6652734469347426,
        4.665293532355968,
        4.665313617777194,
        4.66533370319842,
        4.665353788619646,
        4.665373874040872,
        4.665393959462098,
        4.665414044883324,
        4.665434130304549,
        4.665454215725776,
        4.665474301147001,
        4.665494386568227,
        4.665514471989453,
        4.665534557410679,
        4.665554642831905,
        4.66557472825313,
        4.665594813674357,
        4.665614899095583,
        4.6656349845168075,
        4.665655069938034,
        4.665675155359259,
        4.665695240780486,
        4.6657153262017115,
        4.665735411622937,
        4.665755497044163,
        4.66577558246539,
        4.665795667886615,
        4.66581575330784,
        4.665835838729066,
        4.665855924150293,
        4.665876009571519,
        4.6658960949927435,
        4.66591618041397,
        4.665936265835196,
        4.665956351256423,
        4.6659764366776475,
        4.665996522098872,
        4.6660166075201,
        4.666036692941325,
        4.6660567783625515,
        4.666076863783776,
        4.666096949205003,
        4.666117034626229,
        4.666137120047455,
        4.66615720546868,
        4.666177290889906,
        4.666197376311132,
        4.666217461732358,
        4.6662375471535835,
        4.66625763257481,
        4.666277717996036,
        4.666297803417261,
        4.6663178888384875,
        4.666337974259713,
        4.666358059680939,
        4.666378145102165,
        4.66639823052339,
        4.666418315944617,
        4.666438401365842,
        4.666458486787068,
        4.666478572208294,
        4.6664986576295195,
        4.666518743050746,
        4.666538828471971,
        4.666558913893197,
        4.6665789993144235,
        4.666599084735649,
        4.666619170156875,
        4.666639255578101,
        4.666659340999327,
        4.6666794264205524,
        4.666699511841778,
        4.666719597263004,
        4.666739682684231,
        4.666759768105456,
        4.666779853526682,
        4.666799938947907,
        4.666820024369135,
        4.66684010979036,
        4.6668601952115845,
        4.666880280632811,
        4.666900366054037,
        4.666920451475264,
        4.6669405368964885,
        4.666960622317715,
        4.666980707738941,
        4.667000793160167,
        4.6670208785813925,
        4.667040964002618,
        4.667061049423844,
        4.66708113484507,
        4.667101220266296,
        4.667121305687521,
        4.667141391108748,
        4.667161476529973,
        4.667181561951199,
        4.667201647372425,
        4.66722173279365,
        4.667241818214877,
        4.667261903636102,
        4.667281989057329,
        4.667302074478554,
        4.66732215989978,
        4.667342245321006,
        4.667362330742232,
        4.667382416163458,
        4.667402501584683,
        4.667422587005909,
        4.667442672427136,
        4.667462757848361,
        4.667482843269587,
        4.667502928690813,
        4.667523014112039,
        4.6675430995332645,
        4.66756318495449,
        4.667583270375716,
        4.667603355796943,
        4.667623441218168,
        4.667643526639394,
        4.667663612060619,
        4.667683697481847,
        4.667703782903072,
        4.6677238683242965,
        4.667743953745523,
        4.667764039166749,
        4.667784124587976,
        4.6678042100092005,
        4.667824295430426,
        4.667844380851653,
        4.667864466272878,
        4.667884551694104,
        4.667904637115329,
        4.667924722536556,
        4.667944807957782,
        4.667964893379008,
        4.6679849788002326,
        4.66800506422146,
        4.668025149642685,
        4.668045235063911,
        4.668065320485137,
        4.668085405906362,
        4.668105491327589,
        4.668125576748814,
        4.668145662170041,
        4.668165747591266,
        4.668185833012492,
        4.668205918433718,
        4.668226003854943,
        4.66824608927617,
        4.668266174697395,
        4.668286260118621,
        4.668306345539847,
        4.6683264309610735,
        4.668346516382299,
        4.668366601803525,
        4.66838668722475,
        4.668406772645977,
        4.668426858067202,
        4.668446943488428,
        4.668467028909654,
        4.66848711433088,
        4.668507199752106,
        4.668527285173331,
        4.668547370594556,
        4.668567456015784,
        4.668587541437009,
        4.668607626858235,
        4.668627712279461,
        4.668647797700687,
        4.668667883121913,
        4.668687968543138,
        4.668708053964365,
        4.66872813938559,
        4.668748224806816,
        4.6687683102280415,
        4.668788395649268,
        4.668808481070494,
        4.66882856649172,
        4.668848651912945,
        4.668868737334172,
        4.668888822755397,
        4.668908908176623,
        4.668928993597849,
        4.668949079019074,
        4.668969164440301,
        4.668989249861526,
        4.669009335282753,
        4.669029420703978,
        4.669049506125204,
        4.66906959154643,
        4.669089676967655,
        4.669109762388882,
        4.669129847810107,
        4.669149933231333,
        4.669170018652559,
        4.6691901040737855,
        4.669210189495011,
        4.669230274916237,
        4.669250360337462,
        4.669270445758689,
        4.669290531179914,
        4.669310616601139,
        4.669330702022366,
        4.669350787443592,
        4.6693708728648184,
        4.669390958286043,
        4.669411043707268,
        4.669431129128496,
        4.669451214549721,
        4.669471299970947,
        4.669491385392172,
        4.669511470813399,
        4.669531556234625,
        4.6695516416558505,
        4.669571727077076,
        4.669591812498302,
        4.669611897919528,
        4.669631983340754,
        4.669652068761979,
        4.669672154183206,
        4.669692239604432,
        4.669712325025657,
        4.669732410446883,
        4.669752495868109,
        4.669772581289335,
        4.669792666710561,
        4.669812752131786,
        4.669832837553013,
        4.669852922974238,
        4.669873008395465,
        4.66989309381669,
        4.669913179237916,
        4.669933264659142,
        4.669953350080367,
        4.669973435501593,
        4.669993520922819,
        4.670013606344045,
        4.670033691765271,
        4.670053777186497,
        4.6700738626077225,
        4.670093948028949,
        4.670114033450174,
        4.6701341188714,
        4.6701542042926265,
        4.670174289713851,
        4.670194375135078,
        4.670214460556303,
        4.6702345459775305,
        4.670254631398755,
        4.67027471681998,
        4.670294802241208,
        4.670314887662433,
        4.670334973083659,
        4.670355058504884,
        4.670375143926111,
        4.670395229347337,
        4.6704153147685625,
        4.670435400189788,
        4.670455485611014,
        4.67047557103224,
        4.670495656453466,
        4.670515741874691,
        4.670535827295918,
        4.670555912717144,
        4.670575998138369,
        4.670596083559595,
        4.670616168980821,
        4.670636254402046,
        4.670656339823273,
        4.670676425244498,
        4.670696510665725,
        4.67071659608695,
        4.670736681508176,
        4.670756766929402,
        4.670776852350628,
        4.670796937771854,
        4.670817023193079,
        4.670837108614305,
        4.6708571940355315,
        4.670877279456757,
        4.670897364877983,
        4.670917450299209,
        4.670937535720435,
        4.67095762114166,
        4.670977706562886,
        4.670997791984112,
        4.671017877405339,
        4.6710379628265635,
        4.67105804824779,
        4.671078133669015,
        4.671098219090243,
        4.6711183045114675,
        4.671138389932692,
        4.671158475353919,
        4.671178560775145,
        4.6711986461963715,
        4.671218731617596,
        4.671238817038822,
        4.671258902460049,
        4.671278987881275,
        4.6712990733025,
        4.671319158723725,
        4.671339244144952,
        4.671359329566178,
        4.6713794149874035,
        4.671399500408628,
        4.671419585829856,
        4.671439671251081,
        4.6714597566723075,
        4.671479842093532,
        4.671499927514758,
        4.671520012935985,
        4.67154009835721,
        4.671560183778436,
        4.671580269199662,
        4.671600354620888,
        4.671620440042114,
        4.671640525463339,
        4.671660610884566,
        4.671680696305791,
        4.671700781727017,
        4.671720867148243,
        4.671740952569469,
        4.671761037990695,
        4.671781123411921,
        4.671801208833146,
        4.671821294254372,
        4.671841379675598,
        4.671861465096824,
        4.67188155051805,
        4.6719016359392755,
        4.671921721360502,
        4.671941806781727,
        4.671961892202955,
        4.6719819776241795,
        4.672002063045404,
        4.672022148466631,
        4.672042233887857,
        4.672062319309083,
        4.6720824047303084,
        4.672102490151534,
        4.672122575572761,
        4.672142660993987,
        4.672162746415212,
        4.672182831836437,
        4.672202917257664,
        4.67222300267889,
        4.672243088100116,
        4.6722631735213405,
        4.672283258942568,
        4.672303344363793,
        4.67232342978502,
        4.6723435152062445,
        4.672604625682181,
        4.672624711103407,
        4.672644796524633,
        4.672664881945858,
        4.6726849673670845,
        4.67270505278831,
        4.672725138209536,
        4.672745223630762,
        4.672765309051988,
        4.672785394473214,
        4.672805479894439,
        4.672825565315665,
        4.672845650736892,
        4.6728657361581165,
        4.672885821579343,
        4.672905907000568,
        4.672925992421795,
        4.6729460778430205,
        4.672966163264246,
        4.672986248685472,
        4.673006334106699,
        4.673026419527924,
        4.673046504949149,
        4.673066590370375,
        4.673086675791602,
        4.673106761212828,
        4.6731268466340525,
        4.673146932055279,
        4.673167017476505,
        4.673187102897731,
        4.6732071883189565,
        4.673227273740181,
        4.673247359161409,
        4.673267444582634,
        4.6732875300038605,
        4.673307615425085,
        4.673327700846312,
        4.673347786267538,
        4.673367871688763,
        4.673387957109989,
        4.673408042531215,
        4.673428127952441,
        4.673448213373667,
        4.673468298794893,
        4.673488384216118,
        4.673508469637345,
        4.67352855505857,
        4.673548640479797,
        4.673568725901022,
        4.673588811322247,
        4.673608896743474,
        4.6736289821647,
        4.673649067585926,
        4.673669153007151,
        4.673689238428377,
        4.673709323849604,
        4.673729409270829,
        4.673749494692055,
        4.67376958011328,
        4.673789665534507,
        4.673809750955733,
        4.673829836376958,
        4.673849921798184,
        4.67387000721941,
        4.673890092640636,
        4.6739101780618615,
        4.673930263483087,
        4.673950348904314,
        4.67397043432554,
        4.673990519746765,
        4.674010605167991,
        4.674030690589217,
        4.674050776010443,
        4.674070861431669,
        4.6740909468528935,
        4.674111032274121,
        4.674131117695346,
        4.674151203116572,
        4.6741712885377975,
        4.674191373959024,
        4.67421145938025,
        4.674231544801475,
        4.674251630222701,
        4.674271715643927,
        4.674291801065153,
        4.674311886486379,
        4.674954619965606,
        4.674974705386832,
        4.674994790808058,
        4.675014876229284,
        4.67503496165051,
        4.675055047071735,
        4.675075132492962,
        4.675095217914187,
        4.675115303335413,
        4.6751353887566385,
        4.675155474177865,
        4.675175559599091,
        4.675195645020317,
        4.6752157304415425,
        4.675235815862769,
        4.675255901283994,
        4.67527598670522,
        4.6752960721264465,
        4.675316157547671,
        4.675336242968898,
        4.675356328390123,
        4.6753764138113505,
        4.675396499232575,
        4.6754165846538,
        4.675436670075027,
        4.675456755496253,
        4.675476840917479,
        4.675496926338704,
        4.67551701175993,
        4.675537097181157,
        4.6755571826023825,
        4.675577268023607,
        4.675597353444833,
        4.67561743886606,
        4.675637524287286,
        4.675657609708511,
        4.675677695129736,
        4.675697780550964,
        4.675717865972189,
        4.675737951393415,
        4.67575803681464,
        4.675778122235866,
        4.675798207657093,
        4.675818293078318,
        4.675838378499544,
        4.67585846392077,
        4.675878549341996,
        4.675898634763222,
        4.675918720184447,
        4.675938805605674,
        4.675958891026899,
        4.675978976448125,
        4.6759990618693505,
        4.676019147290577,
        4.676039232711803,
        4.676059318133029,
        4.676079403554254,
        4.676099488975481,
        4.676119574396706,
        4.676139659817932,
        4.676159745239158,
        4.6761798306603835,
        4.67619991608161,
        4.676220001502835,
        4.676240086924062,
        4.6762601723452875,
        4.676280257766512,
        4.676300343187739,
        4.676320428608964,
        4.676340514030191,
        4.676360599451416,
        4.676380684872642,
        4.676400770293868,
        4.676420855715095,
        4.6764409411363195,
        4.676461026557545,
        4.676481111978771,
        4.676501197399998,
        4.6765212828212235,
        4.676541368242448,
        4.676561453663675,
        4.676581539084901,
        4.6766016245061275,
        4.676621709927352,
        4.676641795348577,
        4.676661880769805,
        4.67668196619103,
        4.676702051612256,
        4.676722137033481,
        4.676742222454708,
        4.676762307875934,
        4.6767823932971595,
        4.676802478718385,
        4.676822564139611,
        4.676842649560837,
        4.676862734982063,
        4.676882820403289,
        4.676902905824515,
        4.676922991245741,
        4.676943076666966,
        4.676963162088192,
        4.676983247509418,
        4.677003332930643,
        4.67702341835187,
        4.6770435037730955,
        4.677063589194322,
        4.677083674615547,
        4.677103760036773,
        4.6771238454579995,
        4.677143930879224,
        4.677324699670257,
        4.677344785091483,
        4.67736487051271,
        4.6773849559339356,
        4.67740504135516,
        4.677425126776387,
        4.677445212197613,
        4.67746529761884,
        4.6774853830400644,
        4.677505468461289,
        4.677525553882517,
        4.677545639303742,
        4.6775657247249685,
        4.677585810146193,
        4.67760589556742,
        4.677625980988646,
        4.677646066409871,
        4.6776661518310965,
        4.677686237252323,
        4.677706322673549,
        4.677726408094775,
        4.6777464935160005,
        4.677766578937226,
        4.677786664358453,
        4.677806749779678,
        4.677826835200904,
        4.67784692062213,
        4.677867006043355,
        4.677887091464582,
        4.677907176885807,
        4.677927262307034,
        4.677947347728259,
        4.677967433149485,
        4.677987518570711,
        4.6780076039919365,
        4.678027689413163,
        4.678047774834388,
        4.678067860255614,
        4.6780879456768405,
        4.678108031098066,
        4.678128116519292,
        4.678148201940518,
        4.678168287361744,
        4.678188372782969,
        4.678208458204195,
        4.678228543625421,
        4.678248629046648,
        4.6782687144678725,
        4.678288799889099,
        4.678308885310324,
        4.678328970731552,
        4.6783490561527765,
        4.678369141574001,
        4.678389226995228,
        4.678409312416454,
        4.67842939783768,
        4.678449483258905,
        4.678469568680132,
        4.678489654101358,
        4.678509739522583,
        4.6785298249438085,
        4.678549910365035,
        4.678569995786261,
        4.678590081207487,
        4.6786101666287125,
        4.678630252049938,
        4.678650337471165,
        4.67867042289239,
        4.678690508313616,
        4.678710593734842,
        4.678730679156067,
        4.678750764577294,
        4.678770849998519,
        4.678790935419746,
        4.678811020840971,
        4.678831106262197,
        4.678851191683423,
        4.678871277104649,
        4.678891362525875,
        4.6789114479471,
        4.678931533368326,
        4.678951618789553,
        4.678971704210778,
        4.678991789632004,
        4.67901187505323,
        4.679031960474456,
        4.6790520458956815,
        4.679072131316907,
        4.679092216738133,
        4.67911230215936,
        4.679534096005102,
        4.679554181426328,
        4.6795742668475535,
        4.679594352268779,
        4.679614437690006,
        4.679634523111231,
        4.6796546085324575,
        4.679674693953683,
        4.679694779374909,
        4.679714864796135,
        4.67973495021736,
        4.679755035638587,
        4.679775121059812,
        4.679795206481038,
        4.679815291902264,
        4.67983537732349,
        4.679855462744715,
        4.679875548165941,
        4.679895633587167,
        4.6799157190083935,
        4.679935804429619,
        4.679955889850844,
        4.679975975272071,
        4.679996060693297,
        4.680016146114523,
        4.680036231535748,
        4.680056316956973,
        4.680076402378201,
        4.6800964877994256,
        4.680116573220652,
        4.680136658641878,
        4.680156744063104,
        4.68017682948433,
        4.680196914905555,
        4.680217000326782,
        4.680237085748007,
        4.680257171169233,
        4.6802772565904585,
        4.680297342011685,
        4.680317427432911,
        4.680337512854137,
        4.680357598275362,
        4.680377683696589,
        4.680397769117814,
        4.68041785453904,
        4.680437939960266,
        4.680458025381491,
        4.680478110802718,
        4.680498196223943,
        4.680518281645169,
        4.680538367066395,
        4.68055845248762,
        4.680578537908847,
        4.680598623330072,
        4.6806187087512985,
        4.680638794172524,
        4.68065887959375,
        4.680678965014976,
        4.6806990504362025,
        4.680719135857427,
        4.680739221278653,
        4.680759306699879,
        4.680779392121106,
        4.680799477542331,
        4.680819562963556,
        4.680839648384783,
        4.680859733806009,
        4.680879819227235,
        4.68089990464846,
        4.680919990069685,
        4.680940075490913,
        4.680960160912138,
        4.680980246333364,
        4.681000331754589,
        4.681020417175816,
        4.681040502597042,
        4.681060588018267,
        4.681080673439493,
        4.681100758860719,
        4.681120844281945,
        4.6811409297031705,
        4.681161015124396,
        4.681181100545623,
        4.681201185966849,
        4.681221271388074,
        4.6812413568093,
        4.681261442230526,
        4.681281527651751,
        4.681301613072978,
        4.6813216984942025,
        4.68134178391543,
        4.681361869336655,
        4.681381954757881,
        4.6814020401791065,
        4.681422125600332,
        4.681442211021559,
        4.682024688237108,
        4.682044773658334,
        4.682064859079561,
        4.682084944500786,
        4.682105029922012,
        4.682125115343238,
        4.682145200764463,
        4.68216528618569,
        4.682185371606915,
        4.682205457028142,
        4.682225542449367,
        4.682245627870593,
        4.682265713291819,
        4.682285798713044,
        4.682305884134271,
        4.682325969555496,
        4.682346054976722,
        4.682366140397948,
        4.682386225819174,
        4.6824063112404,
        4.682426396661626,
        4.6824464820828515,
        4.682466567504077,
        4.682486652925303,
        4.682506738346529,
        4.6825268237677555,
        4.68254690918898,
        4.682566994610207,
        4.682587080031432,
        4.6826071654526595,
        4.682627250873884,
        4.682647336295109,
        4.682667421716336,
        4.682687507137562,
        4.6827075925587875,
        4.682727677980013,
        4.682747763401239,
        4.682767848822466,
        4.6827879342436916,
        4.682808019664916,
        4.682828105086142,
        4.682848190507369,
        4.682868275928595,
        4.6828883613498204,
        4.682908446771045,
        4.682928532192273,
        4.682948617613498,
        4.683089215562079,
        4.683109300983305,
        4.683129386404531,
        4.683149471825756,
        4.683169557246983,
        4.683189642668208,
        4.683209728089434,
        4.68322981351066,
        4.683249898931886,
        4.683269984353112,
        4.683290069774338,
        4.683310155195563,
        4.683330240616789,
        4.683350326038015,
        4.68337041145924,
        4.683390496880468,
        4.6834105823016925,
        4.683430667722919,
        4.683450753144144,
        4.683470838565371,
        4.6834909239865965,
        4.683511009407821,
        4.683531094829048,
        4.683551180250274,
        4.6835712656715,
        4.683591351092725,
        4.683611436513951,
        4.683631521935178,
        4.683651607356403,
        4.6836716927776285,
        4.683691778198854,
        4.683711863620081,
        4.683731949041307,
        4.6837520344625325,
        4.683772119883757,
        4.683792205304985,
        4.68381229072621,
        4.683832376147436,
        4.683852461568661,
        4.683872546989887,
        4.683892632411114,
        4.683912717832339,
        4.683932803253565,
        4.683952888674791,
        4.683972974096017,
        4.683993059517243,
        4.684013144938468,
        4.684033230359694,
        4.68405331578092,
        4.684073401202146,
        4.684093486623372,
        4.684113572044598,
        4.684133657465823,
        4.68415374288705,
        4.684173828308275,
        4.6841939137295014,
        4.684213999150727,
        4.684234084571952,
        4.684254169993179,
        4.684274255414405,
        4.684294340835631,
        4.684314426256856,
        4.684334511678081,
        4.684354597099309,
        4.6843746825205335,
        4.68439476794176,
        4.684414853362985,
        4.684434938784212,
        4.6844550242054375,
        4.684475109626663,
        4.684495195047889,
        4.684515280469115,
        4.684535365890341,
        4.684555451311566,
        4.684575536732792,
        4.684595622154019,
        4.684615707575245,
        4.6846357929964695,
        4.684655878417696,
        4.684675963838922,
        4.684696049260148,
        4.6847161346813735,
        4.684736220102598,
        4.684756305523826,
        4.684776390945051,
        4.684796476366277,
        4.684816561787502,
        4.684836647208729,
        4.684856732629955,
        4.68487681805118,
        4.6848969034724055,
        4.684916988893632,
        4.684937074314858,
        4.684957159736084,
        4.6849772451573095,
        4.684997330578535,
        4.685017415999762,
        4.685037501420987,
        4.6850575868422135,
        4.685077672263439,
        4.685097757684664,
        4.685117843105891,
        4.685137928527117,
        4.685158013948343,
        4.685178099369568,
        4.685198184790793,
        4.685218270212021,
        4.6852383556332455,
        4.685258441054472,
        4.685278526475697,
        4.685298611896924,
        4.6853186973181495,
        4.685338782739375,
        4.685358868160601,
        4.685378953581827,
        4.685399039003053,
        4.685419124424278,
        4.685439209845504,
        4.68545929526673,
        4.685479380687957,
        4.6854994661091816,
        4.685519551530408,
        4.685539636951634,
        4.685559722372859,
        4.685579807794086,
        4.6855998932153105,
        4.685619978636538,
        4.685640064057763,
        4.685660149478989,
        4.6856802349002145,
        4.685700320321441,
        4.685720405742667,
        4.685740491163892,
        4.685760576585118,
        4.685780662006344,
        4.68580074742757,
        4.685820832848796,
        4.685840918270022,
        4.685861003691247,
        4.685881089112473,
        4.685901174533699,
        4.685921259954925,
        4.685941345376151,
        4.685961430797376,
        4.685981516218603,
        4.686001601639828,
        4.686021687061055,
        4.68604177248228,
        4.686061857903505,
        4.686081943324732,
        4.686102028745958,
        4.686122114167184,
        4.686142199588409,
        4.686162285009635,
        4.686182370430862,
        4.686202455852087,
        4.686222541273312,
        4.686242626694538,
        4.686262712115765,
        4.6862827975369905,
        4.686302882958216,
        4.686322968379441,
        4.686343053800669,
        4.686363139221894,
        4.68638322464312,
        4.686403310064345,
        4.686423395485571,
        4.686443480906798,
        4.6864635663280225,
        4.686483651749249,
        4.686503737170475,
        4.686523822591701,
        4.6865439080129265,
        4.686563993434151,
        4.686584078855379,
        4.686604164276604,
        4.68662424969783,
        4.686644335119055,
        4.686664420540282,
        4.686684505961508,
        4.686704591382734,
        4.686724676803959,
        4.686744762225185,
        4.686764847646411,
        4.686784933067637,
        4.686805018488863,
        4.686825103910088,
        4.686845189331315,
        4.68686527475254,
        4.686885360173767,
        4.686905445594992,
        4.686925531016217,
        4.686945616437444,
        4.68696570185867,
        4.6869857872798955,
        4.687005872701121,
        4.687025958122347,
        4.687046043543574,
        4.6870661289647995,
        4.687086214386024,
        4.68710629980725,
        4.687126385228477,
        4.687146470649703,
        4.687166556070928,
        4.687186641492153,
        4.687206726913381,
        4.687226812334606,
        4.687246897755832,
        4.687266983177057,
        4.687287068598283,
        4.68730715401951,
        4.687327239440735,
        4.687347324861961,
        4.687367410283187,
        4.687387495704413,
        4.687407581125639,
        4.6874276665468635,
        4.687447751968091,
        4.687467837389316,
        4.687487922810542,
        4.6875080082317675,
        4.687528093652994,
        4.68754817907422,
        4.687568264495446,
        4.687588349916671,
        4.687608435337897,
        4.687628520759123,
        4.687648606180348,
        4.687668691601575,
        4.6876887770228,
        4.687708862444027,
        4.687728947865252,
        4.687749033286478,
        4.687769118707704,
        4.687789204128929,
        4.687809289550156,
        4.687829374971381,
        4.6878494603926075,
        4.687869545813833,
        4.687889631235059,
        4.687909716656285,
        4.6879298020775115,
        4.687949887498736,
        4.687969972919962,
        4.687990058341188,
        4.688010143762415,
        4.68803022918364,
        4.688050314604865,
        4.688070400026092,
        4.688090485447318,
        4.688110570868544,
        4.688130656289769,
        4.688150741710994,
        4.688170827132222,
        4.68837168134448,
        4.688391766765706,
        4.688411852186931,
        4.688431937608158,
        4.688452023029383,
        4.688472108450609,
        4.688492193871835,
        4.68851227929306,
        4.688532364714287,
        4.6885524501355125,
        4.688572535556739,
        4.688592620977964,
        4.68861270639919,
        4.6886327918204165,
        4.688652877241641,
        4.688672962662868,
        4.688693048084093,
        4.68871313350532,
        4.688733218926545,
        4.688753304347771,
        4.688773389768997,
        4.688793475190224,
        4.6888135606114485,
        4.688833646032674,
        4.6888537314539,
        4.688873816875127,
        4.6888939022963525,
        4.688913987717577,
        4.688934073138804,
        4.68895415856003,
        4.688974243981256,
        4.688994329402481,
        4.689014414823706,
        4.689034500244934,
        4.689054585666159,
        4.6890746710873845,
        4.68909475650861,
        4.689114841929837,
        4.689134927351063,
        4.689155012772288,
        4.689175098193513,
        4.68919518361474,
        4.689215269035966,
        4.689235354457192,
        4.689255439878417,
        4.689275525299643,
        4.68929561072087,
        4.689315696142095,
        4.6893357815633205,
        4.689355866984547,
        4.689375952405772,
        4.689396037826999,
        4.689416123248224,
        4.689436208669451,
        4.689456294090676,
        4.689476379511902,
        4.689496464933128,
        4.689516550354353,
        4.68953663577558,
        4.689556721196805,
        4.689576806618031,
        4.6895968920392574,
        4.689616977460483,
        4.689637062881709,
        4.689657148302934,
        4.689677233724161,
        4.689697319145386,
        4.689717404566612,
        4.689737489987837,
        4.689757575409065,
        4.6897776608302895,
        4.689797746251516,
        4.689817831672741,
        4.689837917093967,
        4.6898580025151935,
        4.689878087936418,
        4.689898173357645,
        4.689918258778871,
        4.689938344200097,
        4.689958429621322,
        4.689978515042549,
        4.689998600463775,
        4.690018685885,
        4.6900387713062255,
        4.690058856727452,
        4.690078942148678,
        4.690099027569904,
        4.6901191129911295,
        4.690139198412355,
        4.690159283833582,
        4.690179369254807,
        4.690199454676033,
        4.690219540097259,
        4.690239625518484,
        4.690259710939711,
        4.690279796360936,
        4.690299881782163,
        4.690319967203388,
        4.690340052624613,
        4.69036013804584,
        4.6903802234670655,
        4.690400308888291,
        4.690420394309517,
        4.690440479730743,
        4.6904605651519695,
        4.690480650573195,
        4.69050073599442,
        4.690520821415646,
        4.690540906836873,
        4.690560992258098,
        4.690581077679324,
        4.690601163100549,
        4.690621248521777,
        4.6906413339430015,
        4.690661419364228,
        4.690681504785453,
        4.690701590206679,
        4.6907216756279055,
        4.69074176104913,
        4.690761846470357,
        4.690781931891583,
        4.690802017312809,
        4.690822102734034,
        4.69084218815526,
        4.690862273576487,
        4.690882358997712,
        4.6909024444189376,
        4.690922529840163,
        4.69094261526139,
        4.690962700682616,
        4.690982786103842,
        4.6910028715250665,
        4.691022956946294,
        4.691043042367519,
        4.691063127788745,
        4.6910832132099705,
        4.691103298631196,
        4.691123384052423,
        4.691143469473648,
        4.691163554894874,
        4.6911836403161,
        4.691203725737325,
        4.691223811158552,
        4.691243896579777,
        4.691263982001003,
        4.691284067422229,
        4.691304152843455,
        4.691324238264681,
        4.691344323685907,
        4.691364409107132,
        4.691384494528358,
        4.691404579949584,
        4.6914246653708105,
        4.691444750792036,
        4.691464836213261,
        4.691484921634488,
        4.691505007055714,
        4.69152509247694,
        4.691545177898165,
        4.691705861267972,
        4.691725946689199,
        4.691746032110424,
        4.69176611753165,
        4.691786202952875,
        4.691806288374102,
        4.691826373795327,
        4.691846459216554,
        4.6918665446377785,
        4.691886630059005,
        4.691906715480231,
        4.691926800901456,
        4.6919468863226825,
        4.691966971743908,
        4.691987057165135,
        4.69200714258636,
        4.692027228007586,
        4.692047313428812,
        4.692067398850037,
        4.692087484271264,
        4.692107569692489,
        4.692127655113715,
        4.692147740534941,
        4.692167825956167,
        4.692187911377393,
        4.692207996798619,
        4.692228082219844,
        4.69224816764107,
        4.692268253062296,
        4.692288338483523,
        4.692308423904748,
        4.692328509325973,
        4.6923485947472,
        4.692368680168426,
        4.692388765589652,
        4.692408851010877,
        4.692428936432102,
        4.69244902185333,
        4.692469107274555,
        4.692489192695781,
        4.692509278117006,
        4.692529363538233,
        4.692549448959459,
        4.6925695343806835,
        4.692589619801909,
        4.692609705223136,
        4.692629790644362,
        4.6926498760655875,
        4.692669961486813,
        4.692690046908039,
        4.692710132329266,
        4.692730217750491,
        4.692750303171716,
        4.692770388592943,
        4.692790474014168,
        4.692810559435395,
        4.6928306448566195,
        4.692850730277847,
        4.692870815699072,
        4.692890901120298,
        4.6929109865415235,
        4.692931071962749,
        4.692951157383976,
        4.692971242805201,
        4.692991328226427,
        4.693011413647653,
        4.693031499068879,
        4.693051584490105,
        4.693071669911331,
        4.693091755332556,
        4.693111840753782,
        4.693131926175008,
        4.693152011596234,
        4.69317209701746,
        4.693192182438685,
        4.693212267859912,
        4.693232353281137,
        4.693252438702363,
        4.693272524123589,
        4.693292609544814,
        4.693312694966042,
        4.693332780387267,
        4.693352865808492,
        4.693372951229718,
        4.693393036650945,
        4.693413122072171,
        4.6934332074933955,
        4.693453292914621,
        4.693473378335848,
        4.693493463757074,
        4.6935135491782995,
        4.693533634599525,
        4.693553720020751,
        4.693573805441978,
        4.693593890863203,
        4.6936139762844284,
        4.693634061705655,
        4.69365414712688,
        4.693674232548107,
        4.693694317969332,
        4.693714403390559,
        4.693734488811784,
        4.69375457423301,
        4.693774659654236,
        4.693794745075461,
        4.693814830496688,
        4.693834915917913,
        4.693855001339139,
        4.693875086760365,
        4.693895172181591,
        4.693915257602816,
        4.693935343024043,
        4.6939554284452685,
        4.693975513866494,
        4.69399559928772,
        4.694015684708945,
        4.6940357701301725,
        4.694055855551397,
        4.694075940972624,
        4.694096026393849,
        4.694116111815075,
        4.694136197236301,
        4.694156282657526,
        4.694176368078753,
        4.694196453499979,
        4.6942165389212045,
        4.69423662434243,
        4.694256709763656,
        4.694276795184883,
        4.694296880606108,
        4.694316966027333,
        4.694337051448559,
        4.694357136869786,
        4.694377222291012,
        4.694397307712237,
        4.694417393133462,
        4.69443747855469,
        4.694457563975915,
        4.6944776493971405,
        4.694497734818366,
        4.694517820239592,
        4.694537905660819,
        4.694557991082044,
        4.69457807650327,
        4.694598161924496,
        4.694618247345722,
        4.694638332766948,
        4.6946584181881725,
        4.694678503609399,
        4.694698589030625,
        4.694718674451851,
        4.6947387598730765,
        4.694758845294303,
        4.694778930715528,
        4.694799016136755,
        4.69481910155798,
        4.694839186979206,
        4.694859272400432,
        4.694879357821657,
        4.6948994432428846,
        4.694919528664109,
        4.694939614085336,
        4.694959699506561,
        4.694979784927787,
        4.6949998703490134,
        4.695019955770238,
        4.695040041191465,
        4.695060126612691,
        4.695080212033917,
        4.695100297455142,
        4.695120382876368,
        4.695140468297595,
        4.69516055371882,
        4.6951806391400455,
        4.695200724561271,
        4.695220809982498,
        4.695240895403724,
        4.6952609808249495,
        4.695281066246174,
        4.695301151667402,
        4.695321237088627,
        4.695341322509853,
        4.695361407931078,
        4.695381493352304,
        4.695401578773531,
        4.695421664194756,
        4.6954417496159815,
        4.695461835037208,
        4.695481920458434,
        4.69550200587966,
        4.695522091300885,
        4.695542176722111,
        4.695562262143337,
        4.695582347564563,
        4.695602432985789,
        4.695622518407015,
        4.69564260382824,
        4.695662689249466,
        4.695682774670692,
        4.695702860091918,
        4.695722945513144,
        4.695743030934369,
        4.695763116355596,
        4.6957832017768215,
        4.695803287198048,
        4.695823372619273,
        4.695843458040498,
        4.6958635434617255,
        4.69588362888295,
        4.695903714304177,
        4.695923799725402,
        4.695943885146629,
        4.695963970567854,
        4.69598405598908,
        4.696004141410306,
        4.696024226831532,
        4.6960443122527575,
        4.696064397673983,
        4.696084483095209,
        4.696104568516435,
        4.6961246539376615,
        4.696144739358886,
        4.696164824780113,
        4.696184910201339,
        4.696204995622564,
        4.69622508104379,
        4.696245166465015,
        4.696265251886243,
        4.696285337307468,
        4.696305422728694,
        4.696325508149919,
        4.696345593571145,
        4.696365678992372,
        4.696385764413597,
        4.6964058498348225,
        4.696425935256049,
        4.696446020677275,
        4.696466106098501,
        4.6964861915197265,
        4.696506276940952,
        4.696526362362178,
        4.696546447783404,
        4.6965665332046305,
        4.696586618625856,
        4.696606704047081,
        4.696626789468308,
        4.696646874889534,
        4.69666696031076,
        4.696687045731985,
        4.69670713115321,
        4.696727216574438,
        4.6967473019956625,
        4.696767387416888,
        4.696787472838114,
        4.696807558259341,
        4.6968276436805665,
        4.696847729101792,
        4.696867814523017,
        4.696887899944244,
        4.69690798536547,
        4.696928070786695,
        4.696948156207921,
        4.696968241629147,
        4.696988327050374,
        4.6970084124715985,
        4.697028497892825,
        4.697048583314051,
        4.697068668735276,
        4.6970887541565025,
        4.697108839577727,
        4.697128924998955,
        4.69714901042018,
        4.697169095841406,
        4.697189181262631,
        4.697209266683857,
        4.697229352105084,
        4.697249437526309,
        4.6972695229475345,
        4.697289608368761,
        4.697309693789987,
        4.697329779211213,
        4.6973498646324385,
        4.697369950053664,
        4.69739003547489,
        4.697410120896116,
        4.697430206317342,
        4.697450291738568,
        4.697470377159793,
        4.69749046258102,
        4.697510548002245,
        4.697530633423471,
        4.697550718844697,
        4.697570804265922,
        4.697590889687149,
        4.6976109751083746,
        4.6976310605296,
        4.697651145950826,
        4.697671231372052,
        4.697691316793279,
        4.697711402214504,
        4.697731487635729,
        4.697751573056955,
        4.697771658478182,
        4.6977917438994075,
        4.697811829320633,
        4.697831914741858,
        4.697852000163086,
        4.697872085584311,
        4.697892171005536,
        4.697912256426762,
        4.697932341847988,
        4.697952427269215,
        4.6979725126904395,
        4.697992598111666,
        4.698012683532892,
        4.698032768954118,
        4.6980528543753435,
        4.698072939796568,
        4.698093025217796,
        4.698113110639021,
        4.698133196060247,
        4.698153281481472,
        4.698173366902699,
        4.698193452323924,
        4.698213537745151,
        4.698233623166376,
        4.698253708587602,
        4.698273794008828,
        4.698293879430053,
        4.69831396485128,
        4.698334050272505,
        4.698354135693732,
        4.698374221114957,
        4.6983943065361835,
        4.698414391957409,
        4.698434477378634,
        4.698454562799861,
        4.698474648221087,
        4.698494733642312,
        4.698514819063538,
        4.698534904484764,
        4.698554989905991,
        4.6985750753272155,
        4.698595160748441,
        4.698615246169667,
        4.698635331590894,
        4.6986554170121195,
        4.698675502433345,
        4.69869558785457,
        4.698715673275798,
        4.698735758697023,
        4.698755844118248,
        4.698775929539474,
        4.6987960149607,
        4.698816100381927,
        4.6988361858031515,
        4.698856271224378,
        4.698876356645604,
        4.69889644206683,
        4.6989165274880556,
        4.69893661290928,
        4.698956698330507,
        4.698976783751733,
        4.698996869172959,
        4.6990169545941844,
        4.699037040015411,
        4.699057125436636,
        4.699077210857863,
        4.699097296279088,
        4.699117381700314,
        4.69913746712154,
        4.699157552542765,
        4.699177637963992,
        4.699197723385217,
        4.699217808806444,
        4.699237894227669,
        4.699257979648894,
        4.699278065070121,
        4.699298150491346,
        4.699318235912573,
        4.699338321333798,
        4.6993584067550245,
        4.69937849217625,
        4.699398577597476,
        4.699418663018702,
        4.699438748439928,
        4.699458833861153,
        4.699478919282379,
        4.699499004703605,
        4.699519090124832,
        4.699539175546057,
        4.699559260967282,
        4.699579346388509,
        4.699599431809735,
        4.69961951723096,
        4.699639602652186,
        4.699659688073411,
        4.699679773494639,
        4.699699858915864,
        4.699719944337089,
        4.699740029758315,
        4.699760115179542,
        4.699780200600768,
        4.6998002860219925,
        4.699820371443219,
        4.699840456864445,
        4.699860542285671,
        4.6998806277068965,
        4.699900713128123,
        4.699920798549348,
        4.699940883970575,
        4.6999609693918,
        4.699981054813026,
        4.700001140234252,
        4.700021225655477,
        4.700041311076704,
        4.700061396497929,
        4.700081481919156,
        4.700101567340381,
        4.700121652761606,
        4.700141738182833,
        4.700161823604058,
        4.700181909025285,
        4.70020199444651,
        4.7002220798677365,
        4.700242165288962,
        4.700262250710188,
        4.700443019501221,
        4.700463104922447,
        4.700483190343672,
        4.700503275764898,
        4.700523361186123,
        4.700543446607351,
        4.700563532028576,
        4.7005836174498015,
        4.700603702871027,
        4.700623788292254,
        4.70064387371348,
        4.700663959134705,
        4.70068404455593,
        4.700704129977157,
        4.700724215398383,
        4.700744300819609,
        4.700764386240834,
        4.70078447166206,
        4.700804557083287,
        4.700824642504512,
        4.7008447279257375,
        4.700864813346964,
        4.700884898768189,
        4.700904984189416,
        4.700925069610641,
        4.700945155031868,
        4.700965240453093,
        4.700985325874318,
        4.701005411295545,
        4.70102549671677,
        4.701045582137996,
        4.701065667559222,
        4.701085752980448,
        4.701105838401674,
        4.7011259238229,
        4.701146009244125,
        4.701166094665351,
        4.7011861800865775,
        4.701206265507803,
        4.701226350929029,
        4.701246436350254,
        4.7012665217714815,
        4.701286607192706,
        4.701306692613933,
        4.701326778035158,
        4.701346863456384,
        4.70136694887761,
        4.701387034298835,
        4.701407119720062,
        4.701427205141288,
        4.7014472905625135,
        4.701467375983739,
        4.701487461404966,
        4.701507546826192,
        4.701527632247417,
        4.701547717668642,
        4.701567803089869,
        4.701587888511095,
        4.701607973932321,
        4.701628059353546,
        4.701648144774772,
        4.701668230195998,
        4.701688315617224,
        4.701708401038449,
        4.701728486459676,
        4.701748571880901,
        4.701768657302128,
        4.701788742723353,
        4.701808828144579,
        4.701828913565805,
        4.70184899898703,
        4.701869084408257,
        4.7018891698294825,
        4.701909255250708,
        4.701929340671934,
        4.70194942609316,
        4.7019695115143865,
        4.701989596935612,
        4.702009682356837,
        4.702029767778063,
        4.70204985319929,
        4.702069938620515,
        4.702090024041741,
        4.702110109462966,
        4.702130194884194,
        4.7021502803054185,
        4.702170365726645,
        4.70219045114787,
        4.702210536569096,
        4.7022306219903225,
        4.702250707411547,
        4.702270792832774,
        4.702290878254,
        4.702310963675226,
        4.702331049096451,
        4.702351134517676,
        4.702371219938904,
        4.702391305360129,
        4.7024113907813545,
        4.70243147620258,
        4.702451561623807,
        4.702471647045032,
        4.7024917324662585,
        4.702511817887483,
        4.70253190330871,
        4.70277292836342,
        4.702793013784646,
        4.702813099205872,
        4.702833184627098,
        4.702853270048324,
        4.702873355469549,
        4.702893440890775,
        4.702913526312001,
        4.702933611733227,
        4.702953697154453,
        4.702973782575678,
        4.702993867996905,
        4.7030139534181306,
        4.703034038839357,
        4.703054124260582,
        4.703074209681807,
        4.703094295103035,
        4.7031143805242595,
        4.703134465945485,
        4.703154551366712,
        4.703174636787938,
        4.7031947222091635,
        4.703214807630388,
        4.703234893051615,
        4.703254978472841,
        4.703275063894067,
        4.703295149315292,
        4.703315234736519,
        4.703335320157744,
        4.703355405578971,
        4.7033754910001955,
        4.703395576421422,
        4.703415661842648,
        4.703435747263873,
        4.7034558326850995,
        4.703475918106325,
        4.703496003527552,
        4.703516088948777,
        4.703536174370003,
        4.703556259791229,
        4.703576345212454,
        4.703596430633681,
        4.703616516054906,
        4.703636601476132,
        4.703656686897358,
        4.703676772318584,
        4.70369685773981,
        4.703716943161036,
        4.703737028582261,
        4.703757114003487,
        4.703777199424713,
        4.7037972848459395,
        4.703817370267165,
        4.70383745568839,
        4.703857541109617,
        4.703877626530843,
        4.7038977119520675,
        4.703917797373294,
        4.703937882794519,
        4.703957968215747,
        4.7039780536369715,
        4.703998139058197,
        4.704018224479423,
        4.70403830990065,
        4.7040583953218755,
        4.7040784807431,
        4.704098566164326,
        4.704118651585553,
        4.704138737006779,
        4.704158822428004,
        4.70417890784923,
        4.704198993270456,
        4.704219078691683,
        4.7042391641129075,
        4.704259249534133,
        4.70427933495536,
        4.704299420376585,
        4.7043195057978116,
        4.704339591219036,
        4.704359676640264,
        4.704379762061489,
        4.704399847482715,
        4.7044199329039404,
        4.704440018325166,
        4.704460103746393,
        4.704480189167618,
        4.704500274588844,
        4.70452036001007,
        4.704540445431296,
        4.704560530852521,
        4.704580616273747,
        4.704600701694973,
        4.704620787116199,
        4.704640872537425,
        4.70466095795865,
        4.704681043379877,
        4.704701128801102,
        4.704721214222329,
        4.704741299643555,
        4.70476138506478,
        4.704781470486006,
        4.704801555907231,
        4.704821641328459,
        4.704841726749684,
        4.704861812170909,
        4.704881897592135,
        4.704901983013362,
        4.704922068434588,
        4.7049421538558125,
        4.704962239277038,
        4.704982324698265,
        4.705002410119491,
        4.7050224955407165,
        4.705042580961942,
        4.705062666383168,
        4.705082751804395,
        4.70510283722562,
        4.705122922646845,
        4.705143008068072,
        4.705163093489297,
        4.705183178910524,
        4.7052032643317485,
        4.705223349752976,
        4.705243435174201,
        4.705263520595426,
        4.7052836060166525,
        4.705303691437878,
        4.705323776859104,
        4.70534386228033,
        4.705363947701556,
        4.705384033122782,
        4.705404118544008,
        4.705424203965233,
        4.705444289386459,
        4.705464374807685,
        4.705484460228911,
        4.705504545650137,
        4.705524631071362,
        4.705544716492589,
        4.705564801913814,
        4.705584887335041,
        4.705604972756266,
        4.705625058177492,
        4.705645143598718,
        4.705665229019943,
        4.70568531444117,
        4.705705399862396,
        4.7057254852836214,
        4.705745570704847,
        4.705765656126073,
        4.7057857415473,
        4.705805826968525,
        4.70582591238975,
        4.705845997810976,
        4.705866083232203,
        4.705886168653429,
        4.705906254074654,
        4.705926339495879,
        4.705946424917107,
        4.705966510338332,
        4.705986595759557,
        4.706006681180783,
        4.706026766602009,
        4.706046852023236,
        4.706066937444461,
        4.706087022865686,
        4.706107108286913,
        4.706127193708138,
        4.706147279129365,
        4.7061673645505895,
        4.706187449971816,
        4.706207535393042,
        4.706227620814268,
        4.7062477062354935,
        4.70626779165672,
        4.706287877077945,
        4.706307962499171,
        4.706328047920397,
        4.706348133341623,
        4.706649414660011,
        4.706669500081237,
        4.706689585502462,
        4.706709670923688,
        4.706729756344915,
        4.70674984176614,
        4.706769927187366,
        4.706790012608591,
        4.706810098029819,
        4.706830183451044,
        4.706850268872269,
        4.706870354293495,
        4.706890439714721,
        4.706910525135948,
        4.706930610557173,
        4.706950695978398,
        4.706970781399625,
        4.70699086682085,
        4.707010952242077,
        4.7070310376633016,
        4.707051123084528,
        4.707071208505754,
        4.70709129392698,
        4.707111379348206,
        4.707131464769432,
        4.707151550190657,
        4.707171635611883,
        4.707191721033109,
        4.707211806454335,
        4.707231891875561,
        4.707251977296786,
        4.707272062718013,
        4.7072921481392385,
        4.707312233560465,
        4.70733231898169,
        4.707352404402915,
        4.7073724898241425,
        4.707392575245367,
        4.707412660666593,
        4.707432746087819,
        4.707452831509046,
        4.707472916930271,
        4.707493002351497,
        4.707513087772722,
        4.707533173193949,
        4.7075532586151745,
        4.7075733440364,
        4.707593429457626,
        4.707613514878852,
        4.7076336003000785,
        4.707653685721303,
        4.707673771142529,
        4.707693856563756,
        4.707713941984981,
        4.707734027406207,
        4.707754112827432,
        4.70777419824866,
        4.707794283669885,
        4.7078143690911105,
        4.707834454512336,
        4.707854539933562,
        4.707934881618466,
        4.707954967039692,
        4.707975052460918,
        4.707995137882143,
        4.708015223303369,
        4.708035308724595,
        4.708055394145821,
        4.7080754795670465,
        4.708095564988273,
        4.708115650409498,
        4.708135735830725,
        4.7081558212519505,
        4.708175906673176,
        4.708195992094402,
        4.708216077515627,
        4.7082361629368545,
        4.708256248358079,
        4.708276333779305,
        4.708296419200531,
        4.708316504621758,
        4.708336590042983,
        4.708356675464208,
        4.708376760885434,
        4.708396846306661,
        4.708416931727887,
        4.708437017149112,
        4.708457102570338,
        4.708477187991564,
        4.708497273412791,
        4.7085173588340155,
        4.708537444255241,
        4.708557529676468,
        4.708577615097693,
        4.7085977005189195,
        4.708617785940144,
        4.708637871361372,
        4.708657956782597,
        4.708678042203823,
        4.708698127625048,
        4.708718213046274,
        4.708738298467501,
        4.708758383888726,
        4.7087784693099515,
        4.708798554731178,
        4.708818640152404,
        4.708838725573629,
        4.7088588109948555,
        4.708878896416081,
        4.708898981837307,
        4.708919067258533,
        4.708939152679758,
        4.708959238100985,
        4.70897932352221,
        4.708999408943437,
        4.709019494364662,
        4.7090395797858875,
        4.709280604840599,
        4.709300690261824,
        4.70932077568305,
        4.709340861104275,
        4.709360946525503,
        4.7093810319467275,
        4.709401117367953,
        4.709421202789179,
        4.709441288210405,
        4.7094613736316315,
        4.709481459052856,
        4.709501544474082,
        4.709521629895309,
        4.709541715316535,
        4.70956180073776,
        4.709581886158985,
        4.709601971580212,
        4.709622057001438,
        4.7096421424226635,
        4.709662227843889,
        4.709682313265116,
        4.709702398686341,
        4.7097224841075676,
        4.709742569528793,
        4.709762654950019,
        4.709782740371245,
        4.70980282579247,
        4.709822911213697,
        4.709842996634922,
        4.709863082056149,
        4.709883167477374,
        4.7099032528986,
        4.709923338319826,
        4.709943423741051,
        4.709963509162278,
        4.709983594583504,
        4.710003680004729,
        4.710023765425955,
        4.710043850847181,
        4.710063936268408,
        4.7100840216896325,
        4.710104107110858,
        4.710124192532084,
        4.710144277953311,
        4.710164363374536,
        4.710184448795762,
        4.710204534216987,
        4.710224619638215,
        4.71024470505944,
        4.7102647904806645,
        4.710284875901891,
        4.710304961323117,
        4.710325046744344,
        4.7103451321655685,
        4.710365217586794,
        4.710385303008021,
        4.710405388429247,
        4.7104254738504725,
        4.710445559271697,
        4.710465644692924,
        4.71048573011415,
        4.710505815535376,
        4.710525900956601,
        4.710545986377828,
        4.710566071799053,
        4.710586157220279,
        4.7106062426415045,
        4.710626328062731,
        4.710646413483957,
        4.710666498905182,
        4.7106865843264085,
        4.710706669747634,
        4.710726755168861,
        4.710746840590086,
        4.710766926011311,
        4.710787011432538,
        4.710807096853763,
        4.710827182274989,
        4.710847267696215,
        4.710867353117441,
        4.710887438538667,
        4.710907523959893,
        4.710927609381118,
        4.7109476948023445,
        4.71096778022357,
        4.710987865644796,
        4.711007951066022,
        4.711028036487248,
        4.711048121908474,
        4.711068207329699,
        4.711088292750926,
        4.711108378172152,
        4.711128463593377,
        4.711148549014603,
        4.711168634435828,
        4.711188719857056,
        4.711208805278281,
        4.711228890699506,
        4.711248976120732,
        4.711269061541958,
        4.711289146963185,
        4.7113092323844095,
        4.711329317805636,
        4.711349403226862,
        4.711369488648088,
        4.7113895740693135,
        4.71140965949054,
        4.711429744911765,
        4.711449830332991,
        4.711469915754217,
        4.711490001175443,
        4.711510086596669,
        4.711530172017894,
        4.711550257439121,
        4.711570342860346,
        4.711590428281573,
        4.711610513702798,
        4.711630599124023,
        4.71165068454525,
        4.711670769966475,
        4.711690855387701,
        4.711710940808927,
        4.7117310262301535,
        4.711751111651379,
        4.711771197072605,
        4.71179128249383,
        4.711811367915057,
        4.711831453336282,
        4.711851538757508,
        4.711871624178734,
        4.71189170959996,
        4.711911795021186,
        4.711931880442411,
        4.711951965863638,
        4.711972051284864,
        4.711992136706089,
        4.712012222127315,
        4.71203230754854,
        4.712052392969768,
        4.712072478390993,
        4.712092563812218,
        4.712112649233444,
        4.71213273465467,
        4.712152820075897,
        4.7121729054971215,
        4.712192990918347,
        4.712213076339574,
        4.7122331617608,
        4.7122532471820255,
        4.712273332603251,
        4.712293418024477,
        4.712313503445703,
        4.712333588866929,
        4.7123536742881535,
        4.712373759709381,
        4.712393845130606,
        4.712413930551833,
        4.7124340159730576,
        4.712454101394284,
        4.71247418681551,
        4.712494272236735,
        4.712514357657962,
        4.712534443079187,
        4.712554528500413,
        4.712574613921639,
        4.712594699342865,
        4.712614784764091,
        4.712634870185317,
        4.712654955606542,
        4.712675041027768,
        4.7126951264489945,
        4.71271521187022,
        4.712735297291446,
        4.712755382712671,
        4.7127754681338985,
        4.712795553555123,
        4.71281563897635,
        4.712835724397575,
        4.712855809818801,
        4.712875895240027,
        4.712895980661252,
        4.712916066082479,
        4.712936151503705,
        4.7129562369249305,
        4.712976322346156,
        4.712996407767382,
        4.713016493188608,
        4.713036578609834,
        4.713056664031059,
        4.713076749452286,
        4.713096834873512,
        4.713116920294737,
        4.713137005715963,
        4.713157091137189,
        4.713177176558415,
        4.713197261979641,
        4.713217347400866,
        4.713237432822093,
        4.713257518243318,
        4.713277603664545,
        4.71329768908577,
        4.713317774506996,
        4.713337859928222,
        4.713357945349447,
        4.713378030770674,
        4.713398116191899,
        4.713418201613125,
        4.713438287034351,
        4.713458372455577,
        4.713478457876803,
        4.713498543298029,
        4.713518628719254,
        4.71353871414048,
        4.7135587995617065,
        4.713578884982932,
        4.713598970404158,
        4.713619055825383,
        4.7136391412466105,
        4.713659226667835,
        4.71367931208906,
        4.713699397510287,
        4.713719482931513,
        4.713739568352739,
        4.713759653773964,
        4.71377973919519,
        4.713799824616417,
        4.713819910037643,
        4.713839995458868,
        4.713860080880093,
        4.71388016630132,
        4.713900251722546,
        4.7139203371437715,
        4.713940422564997,
        4.713960507986224,
        4.713980593407449,
        4.7140006788286755,
        4.7140207642499,
        4.714040849671127,
        4.714060935092353,
        4.714081020513578,
        4.714101105934804,
        4.71412119135603,
        4.714141276777257,
        4.714161362198482,
        4.7141814476197075,
        4.714201533040934,
        4.714221618462159,
        4.714241703883386,
        4.714261789304611,
        4.714281874725837,
        4.714301960147063,
        4.714322045568289,
        4.714342130989515,
        4.71436221641074,
        4.714382301831966,
        4.714402387253192,
        4.714422472674418,
        4.7144425580956435,
        4.714623326886676,
        4.714643412307902,
        4.714663497729129,
        4.714683583150355,
        4.71470366857158,
        4.714723753992805,
        4.714743839414032,
        4.714763924835258,
        4.7147840102564835,
        4.714804095677709,
        4.714824181098936,
        4.714844266520161,
        4.7148643519413875,
        4.714884437362612,
        4.714904522783839,
        4.714924608205065,
        4.71494469362629,
        4.714964779047516,
        4.714984864468742,
        4.715004949889969,
        4.715025035311194,
        4.715045120732419,
        4.715065206153646,
        4.715085291574871,
        4.715105376996098,
        4.715125462417323,
        4.715145547838549,
        4.715165633259775,
        4.715185718681001,
        4.715205804102226,
        4.7152258895234525,
        4.715245974944678,
        4.715266060365904,
        4.71528614578713,
        4.715306231208356,
        4.715326316629582,
        4.715346402050807,
        4.715366487472034,
        4.71538657289326,
        4.7154066583144845,
        4.715426743735711,
        4.715446829156936,
        4.715466914578164,
        4.7154869999993885,
        4.715507085420614,
        4.71552717084184,
        4.715547256263067,
        4.7155673416842925,
        4.715587427105517,
        4.715607512526743,
        4.71562759794797,
        4.715647683369196,
        4.715667768790421,
        4.715687854211647,
        4.715707939632873,
        4.7157280250541,
        4.7157481104753245,
        4.71576819589655,
        4.715788281317777,
        4.715808366739002,
        4.7158284521602285,
        4.715848537581453,
        4.71586862300268,
        4.715888708423906,
        4.715908793845131,
        4.715928879266357,
        4.715948964687583,
        4.715969050108809,
        4.715989135530035,
        4.7160092209512605,
        4.716029306372487,
        4.716049391793713,
        4.716069477214938,
        4.716089562636164,
        4.71610964805739,
        4.716129733478616,
        4.716149818899842,
        4.716169904321067,
        4.716189989742294,
        4.716210075163519,
        4.716230160584746,
        4.716250246005972,
        4.7162703314271965,
        4.716290416848423,
        4.716310502269648,
        4.716330587690876,
        4.7163506731121005,
        4.716370758533326,
        4.716390843954552,
        4.716410929375779,
        4.7164310147970046,
        4.716451100218229,
        4.716471185639455,
        4.716491271060682,
        4.716511356481908,
        4.716531441903133,
        4.716551527324359,
        4.716571612745585,
        4.716591698166811,
        4.716611783588037,
        4.7166318690092615,
        4.716651954430489,
        4.716672039851714,
        4.716692125272941,
        4.7167122106941655,
        4.716732296115392,
        4.716752381536618,
        4.716772466957843,
        4.7167925523790695,
        4.716812637800295,
        4.716832723221521,
        4.716852808642747,
        4.716872894063973,
        4.716892979485199,
        4.716913064906425,
        4.71693315032765,
        4.716953235748876,
        4.716973321170102,
        4.716993406591328,
        4.717013492012554,
        4.717033577433779,
        4.717053662855006,
        4.717073748276231,
        4.717093833697458,
        4.717113919118683,
        4.717134004539909,
        4.717154089961135,
        4.71717417538236,
        4.71737502959462,
        4.717395115015845,
        4.717415200437071,
        4.717435285858296,
        4.717455371279523,
        4.717475456700749,
        4.7174955421219735,
        4.7175156275432,
        4.717535712964426,
        4.717555798385653,
        4.7175758838068775,
        4.717595969228103,
        4.71761605464933,
        4.717636140070555,
        4.7176562254917815,
        4.717676310913006,
        4.717696396334233,
        4.717716481755459,
        4.717736567176685,
        4.71775665259791,
        4.717776738019137,
        4.717796823440362,
        4.717816908861588,
        4.717836994282814,
        4.71785707970404,
        4.717877165125266,
        4.717897250546491,
        4.7179173359677185,
        4.717937421388943,
        4.71795750681017,
        4.717977592231395,
        4.717997677652621,
        4.718198531864879,
        4.718218617286105,
        4.718238702707332,
        4.718258788128557,
        4.718278873549783,
        4.718298958971008,
        4.718319044392235,
        4.718339129813461,
        4.718359215234686,
        4.718379300655912,
        4.718399386077138,
        4.718419471498365,
        4.71843955691959,
        4.718459642340815,
        4.718479727762042,
        4.718499813183267,
        4.718519898604494,
        4.7185399840257185,
        4.718560069446945,
        4.718580154868171,
        4.718600240289397,
        4.7186203257106225,
        4.718640411131849,
        4.718660496553074,
        4.7186805819743,
        4.718700667395526,
        4.718720752816751,
        4.718740838237978,
        4.718760923659203,
        4.71878100908043,
        4.718801094501655,
        4.71882117992288,
        4.718841265344107,
        4.718861350765332,
        4.718881436186559,
        4.718901521607784,
        4.71892160702901,
        4.718941692450236,
        4.7189617778714625,
        4.718981863292688,
        4.719001948713913,
        4.719022034135139,
        4.719042119556366,
        4.719062204977591,
        4.719082290398817,
        4.719102375820043,
        4.719122461241269,
        4.719142546662495,
        4.71916263208372,
        4.719182717504946,
        4.719202802926173,
        4.719222888347398,
        4.719242973768624,
        4.719263059189849,
        4.719283144611077,
        4.719303230032302,
        4.7193233154535275,
        4.719343400874753,
        4.719363486295979,
        4.719383571717205,
        4.719403657138431,
        4.719423742559656,
        4.719443827980883,
        4.719463913402109,
        4.719483998823334,
        4.71950408424456,
        4.719524169665786,
        4.719544255087012,
        4.719564340508238,
        4.7195844259294635,
        4.71960451135069,
        4.719624596771915,
        4.719644682193142,
        4.7196647676143675,
        4.719684853035592,
        4.719704938456819,
        4.719725023878044,
        4.7197451092992715,
        4.719765194720496,
        4.719785280141722,
        4.719805365562948,
        4.719825450984175,
        4.7198455364054,
        4.719865621826625,
        4.719885707247851,
        4.719905792669078,
        4.7199258780903035,
        4.719945963511529,
        4.719966048932755,
        4.719986134353981,
        4.7200062197752075,
        4.720026305196432,
        4.720046390617657,
        4.720066476038885,
        4.72008656146011,
        4.720106646881336,
        4.720126732302561,
        4.720146817723788,
        4.720166903145014,
        4.7201869885662395,
        4.720207073987465,
        4.720227159408691,
        4.720247244829917,
        4.720267330251143,
        4.720287415672368,
        4.720307501093595,
        4.720327586514821,
        4.720347671936046,
        4.7203677573572715,
        4.720387842778498,
        4.720407928199724,
        4.72042801362095,
        4.720448099042175,
        4.720468184463402,
        4.720488269884627,
        4.720508355305854,
        4.720528440727079,
        4.7205485261483044,
        4.720568611569531,
        4.720588696990756,
        4.720608782411983,
        4.7206288678332085,
        4.720648953254434,
        4.72066903867566,
        4.720689124096886,
        4.7207092095181125,
        4.720729294939337,
        4.720749380360563,
        4.720769465781789,
        4.720789551203016,
        4.7208096366242405,
        4.720829722045467,
        4.720849807466692,
        4.72086989288792,
        4.7208899783091445,
        4.720910063730369,
        4.720930149151596,
        4.720950234572822,
        4.7209703199940485,
        4.720990405415273,
        4.721010490836499,
        4.721030576257726,
        4.721050661678951,
        4.721070747100177,
        4.721090832521402,
        4.721110917942629,
        4.721131003363855,
        4.7211510887850805,
        4.721171174206307,
        4.721191259627533,
        4.721211345048758,
        4.721231430469984,
        4.72125151589121,
        4.721271601312436,
        4.721291686733662,
        4.721311772154887,
        4.721331857576114,
        4.721351942997339,
        4.721372028418566,
        4.721392113839791,
        4.7214121992610165,
        4.721432284682243,
        4.721452370103468,
        4.721472455524694,
        4.7214925409459205,
        4.721512626367146,
        4.721532711788372,
        4.721552797209598,
        4.721572882630824,
        4.721592968052049,
        4.721613053473275,
        4.721633138894501,
        4.721653224315728,
        4.7216733097369525,
        4.721693395158179,
        4.721713480579404,
        4.721733566000632,
        4.7217536514218565,
        4.721773736843081,
        4.721793822264308,
        4.721813907685534,
        4.7218339931067606,
        4.721854078527985,
        4.721874163949211,
        4.721894249370438,
        4.721914334791663,
        4.7219344202128894,
        4.721954505634114,
        4.721974591055341,
        4.721994676476567,
        4.722014761897793,
        4.722034847319018,
        4.722054932740245,
        4.72207501816147,
        4.722095103582696,
        4.7221151890039215,
        4.722135274425148,
        4.722155359846374,
        4.722175445267599,
        4.7221955306888255,
        4.722215616110051,
        4.722235701531277,
        4.722255786952503,
        4.722275872373728,
        4.722295957794955,
        4.72231604321618,
        4.722336128637406,
        4.722356214058632,
        4.722376299479858,
        4.722396384901084,
        4.72241647032231,
        4.722436555743535,
        4.7224566411647615,
        4.722476726585987,
        4.722496812007213,
        4.722516897428439,
        4.722536982849665,
        4.722557068270891,
        4.722577153692116,
        4.722597239113342,
        4.722617324534569,
        4.7226374099557935,
        4.72265749537702,
        4.722677580798245,
        4.722697666219473,
        4.7227177516406975,
        4.722737837061923,
        4.722757922483149,
        4.722778007904375,
        4.7227980933256015,
        4.722818178746826,
        4.722838264168053,
        4.722858349589279,
        4.722878435010505,
        4.7228985204317295,
        4.722918605852957,
        4.722938691274182,
        4.722958776695408,
        4.7229788621166335,
        4.722998947537859,
        4.723019032959086,
        4.723039118380311,
        4.7230592038015375,
        4.723079289222763,
        4.723099374643989,
        4.723119460065215,
        4.72313954548644,
        4.723159630907667,
        4.723179716328892,
        4.723199801750118,
        4.723219887171344,
        4.7232399725925704,
        4.723260058013796,
        4.723280143435021,
        4.723300228856247,
        4.723320314277474,
        4.723340399698699,
        4.723360485119925,
        4.723380570541151,
        4.723400655962377,
        4.723420741383603,
        4.723440826804828,
        4.723460912226054,
        4.723480997647281,
        4.723501083068506,
        4.723521168489732,
        4.723541253910957,
        4.723561339332184,
        4.72358142475341,
        4.723601510174635,
        4.723621595595861,
        4.723641681017087,
        4.723661766438313,
        4.7236818518595385,
        4.723701937280764,
        4.723722022701991,
        4.723742108123217,
        4.723762193544442,
        4.723782278965668,
        4.723802364386894,
        4.72382244980812,
        4.723842535229346,
        4.7238626206505705,
        4.723882706071798,
        4.723902791493023,
        4.72392287691425,
        4.7239429623354745,
        4.7239630477567,
        4.723983133177927,
        4.724003218599152,
        4.7240233040203785,
        4.724043389441604,
        4.72406347486283,
        4.724083560284056,
        4.724103645705282,
        4.724123731126508,
        4.724143816547733,
        4.724163901968959,
        4.724183987390185,
        4.724204072811411,
        4.724224158232637,
        4.724244243653863,
        4.724264329075088,
        4.724284414496315,
        4.72430449991754,
        4.724324585338765,
        4.724344670759992,
        4.724364756181218,
        4.724384841602444,
        4.724404927023669,
        4.724425012444895,
        4.724445097866122,
        4.724465183287347,
        4.724485268708573,
        4.724505354129799,
        4.724525439551025,
        4.7245455249722506,
        4.724565610393476,
        4.724585695814703,
        4.724605781235929,
        4.724625866657154,
        4.72464595207838,
        4.724666037499606,
        4.724686122920832,
        4.724706208342058,
        4.724726293763283,
        4.72474637918451,
        4.724766464605735,
        4.724786550026962,
        4.724806635448187,
        4.724826720869412,
        4.724846806290639,
        4.724866891711864,
        4.724886977133091,
        4.724907062554316,
        4.724927147975542,
        4.724947233396768,
        4.724967318817994,
        4.72498740423922,
        4.725007489660445,
        4.725027575081671,
        4.725047660502897,
        4.7250677459241235,
        4.725087831345348,
        4.725107916766575,
        4.7251280021878,
        4.7251480876090275,
        4.725168173030252,
        4.725188258451477,
        4.725208343872704,
        4.72522842929393,
        4.725248514715156,
        4.725268600136381,
        4.725288685557607,
        4.725308770978834,
        4.7253288564000595,
        4.725348941821285,
        4.72536902724251,
        4.725389112663737,
        4.725409198084963,
        4.725429283506188,
        4.725449368927414,
        4.725469454348641,
        4.725489539769866,
        4.725509625191092,
        4.725529710612317,
        4.725549796033544,
        4.72556988145477,
        4.725589966875995,
        4.725610052297221,
        4.725630137718447,
        4.725650223139674,
        4.725670308560899,
        4.7256903939821235,
        4.725710479403351,
        4.725730564824576,
        4.725750650245802,
        4.7257707356670275,
        4.725790821088254,
        4.72581090650948,
        4.725830991930706,
        4.725851077351931,
        4.725871162773157,
        4.725891248194383,
        4.725911333615609,
        4.725931419036835,
        4.7259515044580604,
        4.725971589879287,
        4.725991675300512,
        4.726011760721739,
        4.7260318461429645,
        4.726051931564189,
        4.726072016985416,
        4.726092102406641,
        4.7261121878278685,
        4.726132273249093,
        4.726152358670319,
        4.726172444091546,
        4.726192529512772,
        4.726212614933997,
        4.726232700355222,
        4.726252785776449,
        4.726272871197675,
        4.7262929566189005,
        4.726313042040126,
        4.726333127461353,
        4.726353212882578,
        4.726373298303804,
        4.726393383725029,
        4.726413469146255,
        4.726433554567482,
        4.726453639988707,
        4.726473725409933,
        4.726493810831159,
        4.726513896252385,
        4.726533981673611,
        4.726554067094836,
        4.726574152516063,
        4.726594237937288,
        4.726614323358514,
        4.72663440877974,
        4.726654494200966,
        4.726674579622192,
        4.726694665043418,
        4.726714750464643,
        4.726734835885869,
        4.726754921307095,
        4.726775006728321,
        4.726795092149547,
        4.7268151775707725,
        4.726835262991999,
        4.726855348413224,
        4.726875433834451,
        4.7268955192556765,
        4.726915604676901,
        4.726935690098128,
        4.726955775519353,
        4.7269758609405805,
        4.726995946361805,
        4.727236971416516,
        4.7272570568377414,
        4.727277142258966,
        4.727297227680194,
        4.727317313101419,
        4.7273373985226455,
        4.72735748394387,
        4.727377569365097,
        4.727397654786323,
        4.727417740207548,
        4.727437825628774,
        4.72745791105,
        4.727477996471226,
        4.727498081892452,
        4.7275181673136775,
        4.727538252734904,
        4.72755833815613,
        4.727578423577355,
        4.727598508998581,
        4.727618594419807,
        4.727638679841033,
        4.727658765262259,
        4.727678850683484,
        4.727698936104711,
        4.727719021525936,
        4.727739106947163,
        4.727759192368389,
        4.7277792777896135,
        4.72779936321084,
        4.727819448632065,
        4.727839534053292,
        4.7278596194745175,
        4.727879704895743,
        4.727899790316969,
        4.727919875738195,
        4.727939961159421,
        4.727960046580646,
        4.727980132001872,
        4.728000217423099,
        4.728020302844325,
        4.7280403882655495,
        4.728060473686776,
        4.728080559108002,
        4.728100644529228,
        4.7281207299504535,
        4.72855256650681,
        4.728984403063166,
        4.7290044884843905,
        4.729024573905617,
        4.729044659326843,
        4.72906474474807,
        4.7290848301692945,
        4.72910491559052,
        4.729125001011747,
        4.729145086432972,
        4.7291651718541985,
        4.729185257275423,
        4.72920534269665,
        4.729225428117876,
        4.729245513539102,
        4.7292655989603265,
        4.729285684381553,
        4.729305769802779,
        4.729325855224005,
        4.7293459406452305,
        4.729366026066456,
        4.729386111487683,
        4.729406196908908,
        4.729426282330135,
        4.72944636775136,
        4.729466453172585,
        4.729486538593812,
        4.729506624015038,
        4.729526709436264,
        4.729546794857489,
        4.729566880278715,
        4.729586965699942,
        4.729607051121167,
        4.729627136542393,
        4.729647221963618,
        4.729988674124459,
        4.730008759545684,
        4.73002884496691,
        4.7300489303881355,
        4.730069015809362,
        4.730089101230588,
        4.730109186651814,
        4.730129272073039,
        4.730149357494265,
        4.730169442915491,
        4.730189528336717,
        4.730209613757943,
        4.730229699179168,
        4.730249784600395,
        4.73026987002162,
        4.730289955442847,
        4.730310040864072,
        4.730330126285297,
        4.730350211706524,
        4.730370297127749,
        4.730390382548976,
        4.730410467970201,
        4.730430553391427,
        4.730450638812653,
        4.7304707242338795,
        4.730490809655105,
        4.73051089507633,
        4.730530980497556,
        4.730551065918783,
        4.730571151340008,
        4.730591236761234,
        4.73061132218246,
        4.730631407603686,
        4.730651493024912,
        4.730671578446137,
        4.730691663867362,
        4.73071174928859,
        4.730731834709815,
        4.730751920131041,
        4.730772005552266,
        4.730792090973493,
        4.730812176394719,
        4.7308322618159435,
        4.73085234723717,
        4.730872432658396,
        4.730892518079622,
        4.7309126035008475,
        4.730932688922073,
        4.7309527743433,
        4.730972859764526,
        4.730992945185751,
        4.731013030606976,
        4.731033116028203,
        4.731053201449429,
        4.731073286870655,
        4.73109337229188,
        4.731113457713107,
        4.731133543134332,
        4.731153628555559,
        4.731173713976784,
        4.731193799398009,
        4.731213884819236,
        4.731454909873945,
        4.731474995295172,
        4.731495080716398,
        4.7315151661376245,
        4.731535251558849,
        4.731555336980074,
        4.731575422401302,
        4.731595507822527,
        4.731615593243753,
        4.731635678664978,
        4.731655764086205,
        4.731675849507431,
        4.731695934928656,
        4.731716020349882,
        4.731736105771108,
        4.731756191192334,
        4.73177627661356,
        4.731796362034785,
        4.731816447456012,
        4.731836532877238,
        4.731856618298463,
        4.7318767037196885,
        4.731896789140915,
        4.731916874562141,
        4.731936959983367,
        4.731957045404592,
        4.731977130825819,
        4.731997216247044,
        4.732017301668271,
        4.732037387089496,
        4.732057472510721,
        4.732077557931948,
        4.732097643353173,
        4.732117728774399,
        4.732137814195625,
        4.732157899616851,
        4.732177985038077,
        4.732198070459303,
        4.7322181558805285,
        4.732238241301754,
        4.73225832672298,
        4.732278412144206,
        4.7322984975654325,
        4.732318582986657,
        4.732338668407884,
        4.732358753829109,
        4.732378839250336,
        4.732398924671561,
        4.732419010092786,
        4.732439095514013,
        4.732459180935239,
        4.732479266356465,
        4.73249935177769,
        4.732519437198916,
        4.732539522620143,
        4.732559608041368,
        4.732579693462594,
        4.732599778883819,
        4.732619864305046,
        4.732639949726272,
        4.7326600351474974,
        4.732680120568724,
        4.73270020598995,
        4.732720291411175,
        4.732740376832401,
        4.732760462253627,
        4.732780547674852,
        4.732800633096079,
        4.732820718517304,
        4.732840803938531,
        4.732860889359756,
        4.732880974780982,
        4.732901060202208,
        4.7329211456234335,
        4.73294123104466,
        4.732961316465885,
        4.732981401887111,
        4.7330014873083375,
        4.733021572729563,
        4.733041658150789,
        4.733061743572014,
        4.733081828993241,
        4.733101914414466,
        4.733121999835692,
        4.733142085256918,
        4.733162170678145,
        4.7331822560993695,
        4.733202341520596,
        4.733222426941821,
        4.733242512363048,
        4.7332625977842735,
        4.733282683205498,
        4.733302768626725,
        4.733322854047951,
        4.7333429394691775,
        4.733363024890402,
        4.733383110311628,
        4.733403195732855,
        4.73342328115408,
        4.733443366575306,
        4.733463451996531,
        4.733483537417758,
        4.733503622838984,
        4.7335237082602095,
        4.733543793681434,
        4.733563879102662,
        4.733583964523887,
        4.733604049945113,
        4.733624135366338,
        4.733644220787564,
        4.733664306208791,
        4.733684391630016,
        4.733704477051242,
        4.733724562472468,
        4.733744647893693,
        4.73376473331492,
        4.733784818736145,
        4.733804904157372,
        4.733824989578597,
        4.733845074999823,
        4.733865160421049,
        4.733885245842275,
        4.733905331263501,
        4.733925416684726,
        4.733945502105952,
        4.733965587527178,
        4.733985672948404,
        4.73400575836963,
        4.734025843790856,
        4.734045929212082,
        4.734066014633308,
        4.734086100054533,
        4.734106185475759,
        4.734126270896986,
        4.7341463563182105,
        4.734166441739437,
        4.734186527160662,
        4.734206612581889,
        4.7342266980031145,
        4.73424678342434,
        4.734266868845566,
        4.734286954266792,
        4.734307039688018,
        4.734327125109243,
        4.73434721053047,
        4.734367295951696,
        4.734387381372922,
        4.7344074667941465,
        4.734427552215374,
        4.734447637636599,
        4.734467723057825,
        4.7344878084790505,
        4.734507893900276,
        4.734527979321503,
        4.734548064742728,
        4.7345681501639545,
        4.73458823558518,
        4.734608321006405,
        4.734628406427632,
        4.734648491848857,
        4.734668577270084,
        4.734688662691309,
        4.734708748112535,
        4.734728833533761,
        4.734748918954987,
        4.734769004376213,
        4.734789089797438,
        4.734809175218664,
        4.7348292606398905,
        4.734849346061116,
        4.734869431482342,
        4.734889516903568,
        4.734909602324794,
        4.73492968774602,
        4.734949773167245,
        4.73496985858847,
        4.734989944009698,
        4.7350100294309225,
        4.735030114852149,
        4.735050200273374,
        4.735070285694601,
        4.7350903711158265,
        4.735110456537052,
        4.735130541958278,
        4.735150627379504,
        4.73517071280073,
        4.735190798221955,
        4.735210883643181,
        4.735230969064408,
        4.735251054485634,
        4.7352711399068586,
        4.735291225328084,
        4.735311310749311,
        4.735331396170537,
        4.735351481591763,
        4.7353715670129874,
        4.735391652434215,
        4.73541173785544,
        4.735431823276667,
        4.7354519086978915,
        4.735471994119117,
        4.735492079540344,
        4.735512164961569,
        4.7355322503827955,
        4.735552335804021,
        4.735572421225247,
        4.735592506646473,
        4.735612592067699,
        4.735632677488924,
        4.73565276291015,
        4.735672848331376,
        4.735692933752602,
        4.735713019173828,
        4.735733104595053,
        4.73575319001628,
        4.735773275437505,
        4.735793360858732,
        4.735813446279957,
        4.735833531701182,
        4.735853617122409,
        4.735873702543635,
        4.735893787964861,
        4.735913873386086,
        4.735933958807312,
        4.735954044228539,
        4.7359741296497635,
        4.73599421507099,
        4.736014300492216,
        4.736034385913442,
        4.7360544713346675,
        4.736074556755893,
        4.73609464217712,
        4.736114727598346,
        4.736134813019571,
        4.736154898440796,
        4.736375838074281,
        4.736395923495507,
        4.736416008916733,
        4.736436094337959,
        4.736456179759185,
        4.736476265180411,
        4.736496350601636,
        4.736516436022862,
        4.736536521444088,
        4.736556606865314,
        4.73657669228654,
        4.736596777707765,
        4.736616863128992,
        4.736636948550217,
        4.736657033971444,
        4.736677119392669,
        4.736697204813894,
        4.736717290235121,
        4.736737375656347,
        4.736757461077573,
        4.736777546498798,
        4.736797631920024,
        4.736817717341251,
        4.736837802762476,
        4.736857888183702,
        4.736877973604927,
        4.736898059026154,
        4.73691814444738,
        4.736938229868605,
        4.73695831528983,
        4.736978400711058,
        4.736998486132283,
        4.7370185715535085,
        4.737038656974734,
        4.73705874239596,
        4.737078827817187,
        4.737098913238412,
        4.737118998659638,
        4.737139084080864,
        4.73715916950209,
        4.737179254923316,
        4.7371993403445405,
        4.737219425765768,
        4.737239511186993,
        4.737259596608219,
        4.7372796820294445,
        4.737299767450671,
        4.737319852871897,
        4.737339938293123,
        4.737360023714348,
        4.737380109135574,
        4.7374001945568,
        4.737420279978026,
        4.737440365399252,
        4.737460450820477,
        4.737480536241704,
        4.737500621662929,
        4.737520707084156,
        4.737540792505381,
        4.737560877926606,
        4.737580963347833,
        4.737601048769059,
        4.737621134190285,
        4.73764121961151,
        4.737661305032736,
        4.737681390453963,
        4.737701475875188,
        4.737721561296414,
        4.737741646717639,
        4.737761732138866,
        4.737781817560092,
        4.737801902981317,
        4.737821988402542,
        4.73784207382377,
        4.737862159244995,
        4.7378822446662205,
        4.737902330087446,
        4.737922415508672,
        4.737942500929899,
        4.737962586351124,
        4.73798267177235,
        4.738002757193576,
        4.738022842614802,
        4.738042928036028,
        4.738063013457253,
        4.73808309887848,
        4.738103184299705,
        4.738123269720931,
        4.738143355142157,
        4.738163440563383,
        4.738183525984609,
        4.738203611405835,
        4.73822369682706,
        4.738243782248286,
        4.738263867669512,
        4.738283953090738,
        4.738304038511964,
        4.7383241239331895,
        4.738344209354416,
        4.738364294775641,
        4.738384380196867,
        4.7384044656180935,
        4.738424551039318,
        4.738444636460545,
        4.73846472188177,
        4.738484807302997,
        4.738504892724222,
        4.738524978145448,
        4.738545063566674,
        4.7385651489879,
        4.7385852344091255,
        4.738605319830351,
        4.738625405251577,
        4.738645490672804,
        4.7386655760940295,
        4.738685661515254,
        4.738705746936481,
        4.738725832357707,
        4.738745917778933,
        4.738766003200158,
        4.738786088621383,
        4.738806174042611,
        4.738826259463836,
        4.738846344885062,
        4.738866430306287,
        4.738886515727514,
        4.73890660114874,
        4.738926686569965,
        4.738946771991191,
        4.738966857412417,
        4.738986942833643,
        4.739007028254869,
        4.739027113676094,
        4.739047199097321,
        4.739067284518546,
        4.739087369939772,
        4.7391074553609975,
        4.739127540782224,
        4.739147626203449,
        4.739167711624676,
        4.739187797045901,
        4.739207882467128,
        4.739227967888353,
        4.739248053309578,
        4.7392681387308055,
        4.73928822415203,
        4.739308309573257,
        4.739328394994482,
        4.739348480415709,
        4.739368565836934,
        4.73938865125816,
        4.739408736679386,
        4.739428822100612,
        4.739448907521838,
        4.739468992943063,
        4.739489078364289,
        4.739509163785516,
        4.739529249206742,
        4.7395493346279665,
        4.739569420049193,
        4.739589505470419,
        4.739609590891645,
        4.7396296763128705,
        4.739649761734095,
        4.739669847155323,
        4.739689932576548,
        4.7397100179977745,
        4.739730103418999,
        4.739750188840225,
        4.739770274261452,
        4.739790359682677,
        4.739810445103903,
        4.739830530525129,
        4.739850615946355,
        4.739870701367581,
        4.7398907867888065,
        4.739910872210032,
        4.739930957631258,
        4.739951043052484,
        4.73997112847371,
        4.739991213894936,
        4.740011299316161,
        4.740031384737388,
        4.740051470158613,
        4.74007155557984,
        4.740091641001065,
        4.74011172642229,
        4.740131811843517,
        4.7401518972647425,
        4.740171982685969,
        4.740192068107194,
        4.74021215352842,
        4.7402322389496465,
        4.740252324370872,
        4.740272409792098,
        4.740292495213323,
        4.74031258063455,
        4.740332666055775,
        4.740352751477001,
        4.740372836898227,
        4.740392922319454,
        4.7404130077406785,
        4.740433093161905,
        4.74045317858313,
        4.740473264004357,
        4.7404933494255825,
        4.740513434846807,
        4.740533520268034,
        4.74055360568926,
        4.740573691110486,
        4.740593776531711,
        4.740613861952936,
        4.740633947374164,
        4.740654032795389,
        4.7406741182166146,
        4.74069420363784,
        4.740714289059067,
        4.740734374480293,
        4.740754459901519,
        4.7407745453227434,
        4.74079463074397,
        4.740814716165196,
        4.740834801586422,
        4.7408548870076475,
        4.740874972428873,
        4.7408950578501,
        4.740915143271325,
        4.740935228692552,
        4.740955314113777,
        4.740975399535002,
        4.740995484956229,
        4.741015570377455,
        4.741035655798681,
        4.741055741219906,
        4.741075826641132,
        4.741095912062359,
        4.741115997483584,
        4.74113608290481,
        4.741156168326035,
        4.741176253747262,
        4.7411963391684875,
        4.741216424589713,
        4.741236510010939,
        4.741256595432166,
        4.741276680853391,
        4.741296766274616,
        4.741316851695842,
        4.741336937117068,
        4.741357022538295,
        4.7413771079595195,
        4.741397193380746,
        4.741417278801972,
        4.741437364223198,
        4.7414574496444235,
        4.741477535065648,
        4.741497620486876,
        4.741517705908101,
        4.741537791329327,
        4.741557876750552,
        4.741577962171779,
        4.741598047593005,
        4.741618133014231,
        4.7416382184354555,
        4.741658303856682,
        4.741678389277908,
        4.741698474699134,
        4.7417185601203595,
        4.741738645541585,
        4.741758730962812,
        4.741778816384037,
        4.7417989018052635,
        4.741818987226489,
        4.741839072647714,
        4.741859158068941,
        4.741879243490166,
        4.741899328911393,
        4.741919414332618,
        4.741939499753844,
        4.74195958517507,
        4.7419796705962955,
        4.741999756017521,
        4.742019841438747,
        4.742039926859973,
        4.7420600122811996,
        4.742080097702425,
        4.74210018312365,
        4.742120268544877,
        4.742140353966103,
        4.7421604393873285,
        4.742180524808554,
        4.742200610229779,
        4.742220695651007,
        4.742240781072232,
        4.742260866493458,
        4.742280951914683,
        4.74230103733591,
        4.742321122757136,
        4.7423412081783605,
        4.742361293599587,
        4.742381379020813,
        4.742401464442039,
        4.7424215498632645,
        4.74244163528449,
        4.742461720705717,
        4.742481806126943,
        4.742501891548168,
        4.742521976969393,
        4.74254206239062,
        4.742562147811846,
        4.742582233233072,
        4.742602318654297,
        4.742622404075524,
        4.742642489496749,
        4.742662574917974,
        4.742682660339201,
        4.742702745760426,
        4.742722831181653,
        4.742742916602878,
        4.7427630020241045,
        4.74278308744533,
        4.742803172866556,
        4.742823258287782,
        4.742843343709008,
        4.742863429130233,
        4.742883514551459,
        4.742903599972685,
        4.742923685393912,
        4.742943770815137,
        4.742963856236362,
        4.742983941657589,
        4.743004027078815,
        4.7430241125000405,
        4.743044197921266,
        4.743064283342491,
        4.743084368763719,
        4.743104454184944,
        4.74312453960617,
        4.743144625027395,
        4.743164710448622,
        4.743184795869848,
        4.7432048812910725,
        4.743224966712299,
        4.743245052133525,
        4.743265137554751,
        4.7432852229759765,
        4.743305308397202,
        4.743325393818428,
        4.743345479239655,
        4.74336556466088,
        4.743385650082105,
        4.743405735503332,
        4.743425820924557,
        4.743445906345784,
        4.743465991767009,
        4.743486077188236,
        4.743506162609461,
        4.743526248030686,
        4.743546333451913,
        4.743566418873138,
        4.743586504294365,
        4.74360658971559,
        4.743626675136816,
        4.743646760558042,
        4.743666845979268,
        4.743686931400494,
        4.743707016821719,
        4.7437271022429455,
        4.743747187664171,
        4.743767273085397,
        4.743787358506623,
        4.7438074439278495,
        4.743827529349074,
        4.743847614770301,
        4.743867700191526,
        4.743887785612753,
        4.743907871033978,
        4.743927956455203,
        4.74394804187643,
        4.743968127297656,
        4.743988212718882,
        4.744008298140107,
        4.744028383561333,
        4.74404846898256,
        4.744068554403785,
        4.744088639825011,
        4.744108725246236,
        4.744128810667463,
        4.744148896088689,
        4.744168981509914,
        4.74418906693114,
        4.744209152352367,
        4.744229237773592,
        4.7442493231948175,
        4.744269408616044,
        4.744289494037269,
        4.744309579458496,
        4.744329664879721,
        4.744349750300948,
        4.744369835722173,
        4.744389921143398,
        4.744410006564625,
        4.74443009198585,
        4.744450177407077,
        4.744470262828302,
        4.744490348249528,
        4.744510433670754,
        4.74453051909198,
        4.744550604513206,
        4.744570689934431,
        4.7445907753556575,
        4.744610860776883,
        4.744630946198109,
        4.744651031619335,
        4.7446711170405615,
        4.744691202461786,
        4.744711287883013,
        4.744731373304238,
        4.745374106783466,
        4.7456352172594025,
        4.745655302680627,
        4.745675388101854,
        4.745695473523079,
        4.745715558944306,
        4.745735644365531,
        4.745755729786756,
        4.745775815207983,
        4.745795900629209,
        4.7458159860504345,
        4.74583607147166,
        4.745856156892887,
        4.745876242314113,
        4.7458963277353385,
        4.745916413156563,
        4.74593649857779,
        4.745956583999016,
        4.745976669420242,
        4.745996754841467,
        4.746016840262693,
        4.74603692568392,
        4.746057011105145,
        4.746077096526371,
        4.746097181947597,
        4.746117267368822,
        4.746137352790049,
        4.746157438211274,
        4.7461775236325,
        4.746197609053726,
        4.746217694474952,
        4.746237779896178,
        4.746257865317404,
        4.746277950738629,
        4.746298036159855,
        4.746318121581081,
        4.7463382070023075,
        4.746358292423533,
        4.746378377844758,
        4.746398463265985,
        4.746418548687211,
        4.746438634108437,
        4.746458719529662,
        4.746478804950887,
        4.746498890372115,
        4.7465189757933395,
        4.746539061214566,
        4.746559146635791,
        4.746579232057018,
        4.7465993174782435,
        4.746619402899468,
        4.746639488320695,
        4.746659573741921,
        4.746679659163147,
        4.746699744584372,
        4.746719830005598,
        4.746739915426825,
        4.746760000848051,
        4.7467800862692755,
        4.746800171690501,
        4.746820257111728,
        4.746840342532954,
        4.7468604279541795,
        4.746880513375404,
        4.746900598796632,
        4.746920684217857,
        4.746940769639083,
        4.746960855060308,
        4.746980940481534,
        4.747001025902761,
        4.747021111323986,
        4.7470411967452115,
        4.747061282166438,
        4.747081367587664,
        4.74710145300889,
        4.7471215384301155,
        4.747141623851341,
        4.747161709272567,
        4.747181794693793,
        4.747201880115019,
        4.747221965536245,
        4.74724205095747,
        4.747262136378697,
        4.747282221799922,
        4.747302307221148,
        4.747322392642374,
        4.747342478063599,
        4.747362563484826,
        4.7473826489060515,
        4.747402734327278,
        4.747422819748503,
        4.747442905169729,
        4.747462990590956,
        4.7474830760121804,
        4.747503161433407,
        4.747523246854633,
        4.747543332275859,
        4.7475634176970845,
        4.74758350311831,
        4.747603588539536,
        4.747623673960763,
        4.747643759381988,
        4.747663844803213,
        4.74768393022444,
        4.747704015645665,
        4.747724101066892,
        4.7477441864881165,
        4.747764271909344,
        4.747784357330569,
        4.747804442751795,
        4.748065553227731,
        4.748085638648957,
        4.748105724070182,
        4.748125809491409,
        4.748145894912634,
        4.7481659803338605,
        4.748186065755086,
        4.748206151176311,
        4.748226236597538,
        4.748246322018764,
        4.74826640743999,
        4.748286492861215,
        4.748306578282441,
        4.748326663703668,
        4.7483467491248925,
        4.748366834546118,
        4.748386919967344,
        4.748407005388571,
        4.7484270908097965,
        4.748447176231022,
        4.748467261652247,
        4.748487347073475,
        4.7485074324947,
        4.748527517915925,
        4.748547603337151,
        4.748567688758377,
        4.748587774179604,
        4.7486078596008285,
        4.748627945022055,
        4.748648030443281,
        4.748668115864506,
        4.7486882012857325,
        4.748708286706957,
        4.748728372128185,
        4.74874845754941,
        4.748768542970636,
        4.748788628391861,
        4.748808713813088,
        4.748828799234314,
        4.748848884655539,
        4.748868970076765,
        4.748889055497991,
        4.748909140919217,
        4.748929226340443,
        4.748949311761669,
        4.748969397182894,
        4.748989482604121,
        4.749009568025346,
        4.749029653446571,
        4.749049738867798,
        4.749069824289023,
        4.74908990971025,
        4.749109995131476,
        4.7491300805527015,
        4.749150165973927,
        4.749170251395153,
        4.74919033681638,
        4.749210422237605,
        4.74923050765883,
        4.749250593080056,
        4.749270678501283,
        4.749290763922509,
        4.749310849343734,
        4.749330934764959,
        4.749351020186187,
        4.749371105607412,
        4.7493911910286375,
        4.749411276449863,
        4.749431361871089,
        4.749451447292316,
        4.749471532713541,
        4.749491618134767,
        4.749511703555993,
        4.749531788977218,
        4.749551874398445,
        4.7495719598196695,
        4.749592045240897,
        4.749612130662122,
        4.749632216083348,
        4.7496523015045735,
        4.7496723869258,
        4.749692472347025,
        4.749712557768251,
        4.749732643189477,
        4.749752728610703,
        4.749772814031929,
        4.749792899453154,
        4.749812984874381,
        4.749833070295606,
        4.749853155716833,
        4.749873241138058,
        4.749893326559283,
        4.74991341198051,
        4.749933497401735,
        4.749953582822962,
        4.749973668244187,
        4.7499937536654135,
        4.750013839086639,
        4.750033924507865,
        4.750054009929091,
        4.750074095350317,
        4.750094180771542,
        4.750114266192768,
        4.750134351613994,
        4.750154437035221,
        4.7501745224564464,
        4.750194607877671,
        4.750214693298898,
        4.750234778720124,
        4.75025486414135,
        4.750274949562575,
        4.7502950349838,
        4.750315120405028,
        4.750335205826253,
        4.750355291247479,
        4.750375376668704,
        4.75039546208993,
        4.750415547511157,
        4.750435632932382,
        4.750455718353608,
        4.750475803774834,
        4.75049588919606,
        4.750515974617286,
        4.750536060038511,
        4.750556145459737,
        4.750576230880963,
        4.750596316302189,
        4.7506164017234145,
        4.750636487144641,
        4.750656572565866,
        4.750676657987093,
        4.750696743408318,
        4.750716828829545,
        4.75073691425077,
        4.750756999671995,
        4.7507770850932225,
        4.750797170514447,
        4.750817255935674,
        4.750837341356899,
        4.750857426778126,
        4.750877512199351,
        4.750897597620577,
        4.750917683041803,
        4.750937768463029,
        4.7509578538842545,
        4.75097793930548,
        4.750998024726706,
        4.751018110147933,
        4.7510381955691585,
        4.751058280990383,
        4.751078366411609,
        4.751098451832836,
        4.751118537254062,
        4.751138622675287,
        4.751158708096512,
        4.75117879351774,
        4.751198878938965,
        4.7512189643601905,
        4.751239049781416,
        4.751259135202642,
        4.751279220623869,
        4.751299306045094,
        4.751319391466319,
        4.751339476887546,
        4.751359562308772,
        4.751379647729998,
        4.751399733151223,
        4.751419818572449,
        4.751439903993675,
        4.751459989414901,
        4.7514800748361266,
        4.751500160257353,
        4.751520245678578,
        4.751540331099805,
        4.75156041652103,
        4.751580501942257,
        4.751600587363482,
        4.751620672784707,
        4.751640758205934,
        4.7516608436271595,
        4.751680929048386,
        4.751701014469611,
        4.751721099890837,
        4.7517411853120635,
        4.751761270733288,
        4.751781356154515,
        4.75180144157574,
        4.751821526996967,
        4.751841612418192,
        4.751861697839418,
        4.751881783260643,
        4.751901868681871,
        4.7519219541030955,
        4.751942039524321,
        4.751962124945547,
        4.751982210366773,
        4.7520022957879995,
        4.752022381209224,
        4.752042466630451,
        4.752062552051677,
        4.752082637472903,
        4.752102722894128,
        4.752122808315353,
        4.752142893736581,
        4.752162979157806,
        4.7521830645790315,
        4.752203150000257,
        4.752223235421484,
        4.75224332084271,
        4.7522634062639355,
        4.75228349168516,
        4.752303577106387,
        4.752323662527613,
        4.752343747948839,
        4.752363833370064,
        4.75238391879129,
        4.752404004212517,
        4.752424089633742,
        4.752444175054969,
        4.752464260476194,
        4.752484345897419,
        4.752504431318646,
        4.7525245167398715,
        4.752544602161097,
        4.752564687582323,
        4.752584773003549,
        4.7526048584247755,
        4.752624943846,
        4.752645029267226,
        4.752665114688452,
        4.752685200109679,
        4.752705285530904,
        4.75272537095213,
        4.752745456373355,
        4.752765541794583,
        4.7527856272158076,
        4.752805712637033,
        4.752825798058259,
        4.752845883479485,
        4.752865968900712,
        4.7528860543219364,
        4.752906139743163,
        4.752926225164389,
        4.752946310585615,
        4.7529663960068405,
        4.752986481428065,
        4.753006566849293,
        4.753026652270518,
        4.753046737691744,
        4.753066823112969,
        4.753086908534196,
        4.753106993955422,
        4.753127079376648,
        4.7531471647978725,
        4.753167250219099,
        4.753187335640325,
        4.753207421061551,
        4.7532275064827765,
        4.753247591904002,
        4.753267677325229,
        4.753287762746454,
        4.753307848167679,
        4.753327933588906,
        4.753348019010131,
        4.753368104431358,
        4.753388189852583,
        4.753408275273809,
        4.753428360695035,
        4.753448446116261,
        4.753468531537487,
        4.7534886169587125,
        4.753508702379938,
        4.753528787801164,
        4.75354887322239,
        4.7535689586436165,
        4.753589044064842,
        4.753609129486067,
        4.753629214907294,
        4.75364930032852,
        4.753669385749745,
        4.753689471170971,
        4.753709556592196,
        4.753729642013424,
        4.7537497274346485,
        4.753769812855875,
        4.7537898982771,
        4.753809983698327,
        4.7538300691195525,
        4.753850154540777,
        4.753870239962004,
        4.75389032538323,
        4.753910410804456,
        4.753930496225681,
        4.753950581646907,
        4.753970667068133,
        4.753990752489359,
        4.7540108379105845,
        4.754030923331811,
        4.754051008753037,
        4.754071094174262,
        4.7540911795954885,
        4.754111265016714,
        4.754131350437941,
        4.754151435859166,
        4.754171521280391,
        4.754191606701618,
        4.754211692122843,
        4.75423177754407,
        4.754251862965295,
        4.7542719483865215,
        4.754292033807747,
        4.754312119228973,
        4.754332204650199,
        4.754352290071425,
        4.75437237549265,
        4.754392460913876,
        4.754412546335102,
        4.754432631756329,
        4.754452717177554,
        4.754472802598779,
        4.754492888020006,
        4.754512973441232,
        4.7545330588624575,
        4.754553144283683,
        4.754573229704908,
        4.754593315126136,
        4.754613400547361,
        4.754633485968587,
        4.754653571389812,
        4.754673656811038,
        4.754693742232265,
        4.7547138276534895,
        4.754733913074715,
        4.754753998495942,
        4.754774083917168,
        4.7547941693383935,
        4.754814254759619,
        4.7549749381294255,
        4.754995023550653,
        4.755015108971878,
        4.755035194393103,
        4.7550552798143295,
        4.755075365235555,
        4.755095450656782,
        4.755115536078007,
        4.755135621499233,
        4.755155706920459,
        4.755175792341685,
        4.755195877762911,
        4.755215963184136,
        4.755236048605362,
        4.755256134026588,
        4.755276219447814,
        4.75529630486904,
        4.755316390290266,
        4.755336475711491,
        4.755356561132718,
        4.755376646553943,
        4.755396731975169,
        4.755416817396395,
        4.75543690281762,
        4.755456988238847,
        4.755477073660073,
        4.755497159081298,
        4.755517244502524,
        4.755537329923749,
        4.755557415344977,
        4.755577500766202,
        4.755597586187427,
        4.755617671608653,
        4.75563775702988,
        4.755657842451106,
        4.755677927872331,
        4.755698013293557,
        4.755718098714783,
        4.755738184136009,
        4.7557582695572345,
        4.755778354978461,
        4.755798440399686,
        4.755818525820913,
        4.755838611242138,
        4.755858696663365,
        4.75587878208459,
        4.755898867505815,
        4.755918952927042,
        4.755939038348267,
        4.755959123769494,
        4.755979209190719,
        4.755999294611945,
        4.756019380033171,
        4.756039465454397,
        4.756059550875622,
        4.756079636296848,
        4.7560997217180745,
        4.7561198071393,
        4.756139892560526,
        4.756159977981751,
        4.7561800634029785,
        4.756200148824203,
        4.75622023424543,
        4.756240319666655,
        4.756260405087881,
        4.756280490509107,
        4.756300575930332,
        4.756320661351559,
        4.756340746772785,
        4.7563608321940105,
        4.756380917615236,
        4.756401003036461,
        4.756421088457689,
        4.756441173878914,
        4.756461259300139,
        4.756481344721365,
        4.756501430142592,
        4.756521515563818,
        4.756541600985043,
        4.756561686406268,
        4.756581771827495,
        4.756601857248721,
        4.7566219426699465,
        4.756642028091172,
        4.756662113512398,
        4.756682198933625,
        4.75670228435485,
        4.756722369776076,
        4.756742455197302,
        4.756762540618527,
        4.756782626039754,
        4.7568027114609785,
        4.756822796882205,
        4.756842882303431,
        4.756862967724657,
        4.756883053145883,
        4.756903138567109,
        4.756923223988334,
        4.75694330940956,
        4.756963394830786,
        4.756983480252012,
        4.757003565673238,
        4.757023651094463,
        4.75704373651569,
        4.7570638219369155,
        4.757083907358141,
        4.757103992779367,
        4.757124078200592,
        4.7571441636218195,
        4.757164249043044,
        4.757184334464271,
        4.757204419885496,
        4.757224505306723,
        4.757244590727948,
        4.757264676149173,
        4.7572847615704,
        4.757304846991626,
        4.7573249324128515,
        4.757345017834077,
        4.757365103255304,
        4.75738518867653,
        4.7574052740977555,
        4.75742535951898,
        4.757445444940207,
        4.757465530361433,
        4.757485615782659,
        4.757505701203884,
        4.75752578662511,
        4.757545872046337,
        4.757565957467562,
        4.7575860428887875,
        4.757606128310014,
        4.757626213731239,
        4.757646299152466,
        4.757666384573691,
        4.757686469994917,
        4.757706555416143,
        4.757726640837369,
        4.757746726258595,
        4.75776681167982,
        4.757786897101046,
        4.757806982522272,
        4.757827067943498,
        4.757847153364724,
        4.75786723878595,
        4.757887324207175,
        4.757907409628402,
        4.7579274950496275,
        4.757947580470853,
        4.757967665892079,
        4.757987751313304,
        4.7580078367345315,
        4.758027922155756,
        4.758048007576983,
        4.758068092998208,
        4.758088178419435,
        4.75810826384066,
        4.758128349261885,
        4.758148434683112,
        4.758168520104338,
        4.7581886055255636,
        4.758208690946789,
        4.758228776368015,
        4.758248861789241,
        4.758268947210468,
        4.7582890326316925,
        4.758309118052918,
        4.758329203474145,
        4.75834928889537,
        4.7583693743165965,
        4.758389459737821,
        4.758409545159049,
        4.758429630580274,
        4.758750997319887,
        4.758771082741114,
        4.758791168162339,
        4.758811253583565,
        4.758831339004791,
        4.758851424426016,
        4.758871509847243,
        4.7588915952684685,
        4.758911680689694,
        4.75893176611092,
        4.758951851532146,
        4.7589719369533725,
        4.758992022374597,
        4.759012107795823,
        4.75903219321705,
        4.759052278638276,
        4.759072364059501,
        4.759092449480727,
        4.759112534901953,
        4.75913262032318,
        4.7591527057444045,
        4.75917279116563,
        4.759192876586857,
        4.759212962008082,
        4.7592330474293085,
        4.759253132850533,
        4.759273218271761,
        4.759293303692986,
        4.759313389114211,
        4.759333474535437,
        4.759353559956663,
        4.75937364537789,
        4.759393730799115,
        4.7594138162203405,
        4.759433901641567,
        4.759453987062793,
        4.759474072484019,
        4.759494157905244,
        4.75951424332647,
        4.759534328747696,
        4.759554414168922,
        4.759574499590147,
        4.759594585011374,
        4.759614670432599,
        4.759634755853826,
        4.759654841275051,
        4.759674926696277,
        4.759695012117503,
        4.759715097538728,
        4.759735182959955,
        4.759755268381181,
        4.759775353802406,
        4.759795439223632,
        4.759815524644858,
        4.759835610066085,
        4.7598556954873095,
        4.759875780908535,
        4.759895866329761,
        4.759915951750988,
        4.7599360371722135,
        4.759956122593439,
        4.759976208014664,
        4.759996293435891,
        4.760016378857117,
        4.760036464278342,
        4.760056549699568,
        4.760076635120794,
        4.760096720542021,
        4.7601168059632455,
        4.760136891384472,
        4.760156976805698,
        4.760177062226923,
        4.7601971476481495,
        4.760217233069374,
        4.760237318490602,
        4.760257403911827,
        4.760277489333053,
        4.760297574754278,
        4.760317660175505,
        4.76033774559673,
        4.760357831017956,
        4.7603779164391815,
        4.760398001860408,
        4.760418087281634,
        4.760438172702859,
        4.7604582581240855,
        4.760478343545311,
        4.760498428966538,
        4.760518514387763,
        4.760538599808988,
        4.760558685230215,
        4.76057877065144,
        4.760598856072667,
        4.760618941493893,
        4.760639026915118,
        4.760659112336344,
        4.760679197757569,
        4.760699283178797,
        4.7607193686000215,
        4.760739454021247,
        4.760759539442473,
        4.7607796248637,
        4.7607997102849255,
        4.760819795706151,
        4.760839881127376,
        4.760859966548603,
        4.760880051969829,
        4.760900137391054,
        4.76092022281228,
        4.760940308233506,
        4.760960393654733,
        4.760980479075958,
        4.761000564497184,
        4.76102064991841,
        4.761040735339635,
        4.761060820760862,
        4.7610809061820865,
        4.761100991603313,
        4.7615027000278305,
        4.761522785449056,
        4.761542870870281,
        4.761562956291508,
        4.761583041712734,
        4.761603127133959,
        4.761623212555185,
        4.761643297976411,
        4.761663383397638,
        4.761683468818863,
        4.761703554240088,
        4.761723639661314,
        4.761743725082541,
        4.761763810503766,
        4.761783895924992,
        4.761803981346217,
        4.761824066767445,
        4.76184415218867,
        4.761864237609895,
        4.761884323031121,
        4.761904408452347,
        4.761924493873574,
        4.7619445792947985,
        4.761964664716024,
        4.761984750137251,
        4.762004835558477,
        4.7620249209797025,
        4.762045006400928,
        4.762065091822154,
        4.76208517724338,
        4.762105262664606,
        4.762125348085831,
        4.762145433507058,
        4.762165518928283,
        4.76218560434951,
        4.7622056897707346,
        4.762225775191962,
        4.762245860613187,
        4.762265946034412,
        4.7622860314556394,
        4.762306116876864,
        4.762326202298091,
        4.762346287719316,
        4.762366373140543,
        4.762386458561768,
        4.762406543982993,
        4.762426629404219,
        4.762446714825446,
        4.7624668002466715,
        4.762486885667897,
        4.762506971089123,
        4.762527056510349,
        4.7625471419315755,
        4.7625672273528,
        4.762587312774026,
        4.762607398195253,
        4.762627483616478,
        4.762647569037704,
        4.762667654458929,
        4.762687739880157,
        4.762707825301382,
        4.762788166986286,
        4.762808252407511,
        4.762828337828736,
        4.762848423249963,
        4.762868508671189,
        4.762888594092415,
        4.76290867951364,
        4.762928764934866,
        4.762948850356092,
        4.762968935777318,
        4.7629890211985435,
        4.76300910661977,
        4.763029192040995,
        4.763049277462222,
        4.763069362883447,
        4.763089448304673,
        4.763109533725899,
        4.763129619147124,
        4.763149704568351,
        4.763169789989576,
        4.763189875410802,
        4.763209960832028,
        4.763230046253254,
        4.76325013167448,
        4.763270217095705,
        4.763290302516931,
        4.763310387938157,
        4.7633304733593835,
        4.763350558780609,
        4.763370644201835,
        4.763651840098998,
        4.763671925520223,
        4.7636920109414485,
        4.763712096362674,
        4.763732181783901,
        4.763752267205127,
        4.763772352626352,
        4.763792438047577,
        4.763812523468804,
        4.76383260889003,
        4.763852694311256,
        4.763872779732481,
        4.763892865153707,
        4.763912950574934,
        4.763933035996159,
        4.7639531214173845,
        4.763973206838611,
        4.763993292259836,
        4.764013377681063,
        4.7640334631022885,
        4.764053548523514,
        4.76407363394474,
        4.764093719365966,
        4.7641138047871925,
        4.764133890208417,
        4.764153975629643,
        4.764174061050869,
        4.764194146472096,
        4.764214231893321,
        4.764234317314547,
        4.764254402735772,
        4.764274488157,
        4.7642945735782245,
        4.76431465899945,
        4.764475342369257,
        4.764495427790482,
        4.76451551321171,
        4.764535598632935,
        4.7645556840541605,
        4.764575769475386,
        4.764595854896613,
        4.764615940317838,
        4.764636025739064,
        4.764656111160289,
        4.764676196581516,
        4.764696282002742,
        4.764716367423967,
        4.764736452845193,
        4.764756538266419,
        4.764776623687646,
        4.764796709108871,
        4.764816794530096,
        4.764836879951323,
        4.764856965372548,
        4.764877050793775,
        4.764897136215,
        4.764917221636226,
        4.764937307057452,
        4.764957392478678,
        4.764977477899904,
        4.7649975633211294,
        4.765017648742355,
        4.765037734163581,
        4.765057819584807,
        4.7650779050060335,
        4.765097990427259,
        4.765118075848484,
        4.765138161269711,
        4.765158246690937,
        4.765178332112162,
        4.765198417533388,
        4.765218502954613,
        4.765238588375841,
        4.7652586737970655,
        4.765278759218291,
        4.765298844639517,
        4.765318930060743,
        4.7653390154819695,
        4.765359100903194,
        4.76537918632442,
        4.765399271745647,
        4.765419357166873,
        4.765439442588098,
        4.765459528009324,
        4.76547961343055,
        4.765499698851776,
        4.7655197842730015,
        4.765539869694228,
        4.765559955115454,
        4.765580040536679,
        4.7656001259579055,
        4.765620211379131,
        4.765640296800358,
        4.765660382221583,
        4.765680467642808,
        4.765700553064035,
        4.76572063848526,
        4.765740723906487,
        4.765760809327712,
        4.765780894748938,
        4.765800980170164,
        4.76582106559139,
        4.765841151012616,
        4.7658612364338415,
        4.765881321855067,
        4.765901407276293,
        4.765921492697519,
        4.765941578118745,
        4.765961663539971,
        4.765981748961196,
        4.766242859437132,
        4.766262944858359,
        4.766283030279585,
        4.7663031157008104,
        4.766323201122036,
        4.766343286543262,
        4.766363371964488,
        4.766383457385714,
        4.766403542806939,
        4.766423628228166,
        4.766443713649391,
        4.766463799070618,
        4.7664838844918425,
        4.76650396991307,
        4.766524055334295,
        4.76654414075552,
        4.7665642261767465,
        4.766584311597972,
        4.766604397019199,
        4.766624482440424,
        4.76664456786165,
        4.766664653282876,
        4.766684738704101,
        4.766704824125327,
        4.766724909546553,
        4.766744994967779,
        4.766765080389005,
        4.766785165810231,
        4.766805251231456,
        4.766825336652683,
        4.766845422073908,
        4.766865507495134,
        4.76688559291636,
        4.766905678337586,
        4.766925763758812,
        4.766945849180037,
        4.766965934601264,
        4.76698602002249,
        4.767006105443715,
        4.767026190864941,
        4.767046276286166,
        4.767066361707394,
        4.7670864471286185,
        4.767106532549844,
        4.76712661797107,
        4.767146703392297,
        4.7671667888135225,
        4.767186874234748,
        4.767206959655974,
        4.7672270450772,
        4.767247130498426,
        4.767267215919651,
        4.767287301340878,
        4.767307386762103,
        4.76732747218333,
        4.7673475576045545,
        4.767367643025782,
        4.767387728447007,
        4.767407813868232,
        4.7674278992894585,
        4.767447984710684,
        4.76746807013191,
        4.767488155553136,
        4.767508240974362,
        4.767528326395588,
        4.767548411816813,
        4.767568497238039,
        4.767588582659265,
        4.767608668080491,
        4.767628753501717,
        4.767648838922943,
        4.767668924344168,
        4.7676890097653954,
        4.76770909518662,
        4.767729180607846,
        4.767749266029072,
        4.767769351450298,
        4.767789436871524,
        4.767809522292749,
        4.767829607713976,
        4.767849693135202,
        4.7678697785564275,
        4.767889863977653,
        4.767909949398878,
        4.767930034820106,
        4.767950120241331,
        4.767970205662556,
        4.767990291083782,
        4.768010376505009,
        4.768030461926235,
        4.76805054734746,
        4.768070632768685,
        4.768090718189912,
        4.768452255771977,
        4.768472341193203,
        4.768492426614429,
        4.768512512035655,
        4.76853259745688,
        4.768552682878107,
        4.768572768299332,
        4.768592853720558,
        4.768612939141784,
        4.768633024563009,
        4.768653109984236,
        4.768673195405461,
        4.768693280826688,
        4.768713366247913,
        4.7687334516691395,
        4.768753537090365,
        4.76877362251159,
        4.768793707932816,
        4.768813793354043,
        4.768833878775268,
        4.768853964196494,
        4.805309003721428,
        4.841804214088812,
        4.841824299510038,
        4.841844384931264,
        4.84186447035249,
        4.8418845557737145,
        4.841904641194942,
        4.841924726616167,
        4.841944812037394,
        4.8419648974586185,
        4.841984982879845,
        4.842005068301071,
        4.842025153722296,
        4.8420452391435225,
        4.842065324564748,
        4.842085409985974,
        4.8421054954072,
        4.842125580828426,
        4.842145666249651,
        4.842165751670878,
        4.842185837092103,
        4.842205922513329,
        4.842226007934555,
        4.842246093355781,
        4.842266178777007,
        4.842286264198232,
        4.842306349619459,
        4.843481346761171,
        4.844736685587787,
        4.844756771009013,
        4.844776856430239,
        4.844796941851465,
        4.844817027272691,
        4.8448371126939165,
        4.844857198115143,
        4.844877283536368,
        4.844897368957595,
        4.8449174543788205,
        4.844937539800045,
        4.844957625221272,
        4.844977710642497,
        4.844997796063724,
        4.845017881484949,
        4.845037966906175,
        4.845058052327401,
        4.845078137748628,
        4.845098223169853,
        4.845118308591078,
        4.845138394012304,
        4.845158479433531,
        4.8451785648547565,
        4.845198650275981,
        4.845218735697208,
        4.845238821118434,
        4.8452589065396605,
        4.845278991960885,
        4.84529907738211,
        4.845319162803338,
        4.845339248224563,
        4.845359333645789,
        4.845379419067014,
        4.845399504488241,
        4.845419589909467,
        4.845439675330692,
        4.845459760751918,
        4.845479846173144,
        4.84549993159437,
        4.845520017015596,
        4.845540102436821,
        4.845560187858048,
        4.845580273279274,
        4.845600358700499,
        4.8456204441217245,
        4.845640529542951,
        4.845660614964177,
        4.845680700385403,
        4.845700785806628,
        4.845720871227855,
        4.84574095664908,
        4.845761042070306,
        4.845781127491532,
        4.8458012129127574,
        4.845821298333984,
        4.845841383755209,
        4.845861469176435,
        4.8458815545976615,
        4.845901640018887,
        4.845921725440113,
        4.845941810861339,
        4.845961896282565,
        4.84598198170379,
        4.846002067125016,
        4.846022152546242,
        4.846042237967469,
        4.8460623233886935,
        4.84608240880992,
        4.846102494231146,
        4.846122579652372,
        4.8461426650735975,
        4.846162750494822,
        4.84618283591605,
        4.846202921337275,
        4.8462230067585015,
        4.846243092179726,
        4.846263177600953,
        4.846283263022179,
        4.846303348443404,
        4.84632343386463,
        4.846343519285856,
        4.846363604707082,
        4.846383690128308,
        4.8464037755495335,
        4.84642386097076,
        4.846443946391986,
        4.846464031813211,
        4.846484117234437,
        4.846504202655663,
        4.846524288076888,
        4.846544373498115,
        4.84656445891934,
        4.846584544340567,
        4.846604629761792,
        4.846624715183018,
        4.846644800604244,
        4.8466648860254695,
        4.846684971446696,
        4.846705056867921,
        4.846725142289147,
        4.8467452277103735,
        4.846765313131599,
        4.846785398552825,
        4.84680548397405,
        4.846825569395277,
        4.846845654816502,
        4.846865740237728,
        4.846885825658954,
        4.846905911080181,
        4.8469259965014055,
        4.846946081922632,
        4.846966167343857,
        4.846986252765084,
        4.8470063381863095,
        4.847026423607534,
        4.847046509028761,
        4.847066594449987,
        4.8470866798712136,
        4.8471067652924384,
        4.847126850713664,
        4.847146936134891,
        4.847167021556116,
        4.847187106977342,
        4.847207192398567,
        4.847227277819794,
        4.84724736324102,
        4.847267448662246,
        4.8472875340834705,
        4.847307619504698,
        4.847327704925923,
        4.847347790347149,
        4.8473678757683745,
        4.8473879611896,
        4.847408046610827,
        4.847428132032052,
        4.8474482174532785,
        4.847468302874504,
        4.847488388295729,
        4.847508473716956,
        4.847528559138181,
        4.847548644559408,
        4.847568729980633,
        4.847588815401859,
        4.847608900823085,
        4.847628986244311,
        4.847649071665537,
        4.847669157086762,
        4.847689242507989,
        4.8477093279292145,
        4.84772941335044,
        4.847749498771666,
        4.847769584192893,
        4.8482315488810865,
        4.848251634302312,
        4.848271719723539,
        4.848291805144764,
        4.8483118905659905,
        4.848331975987216,
        4.848352061408441,
        4.848372146829668,
        4.848392232250893,
        4.84841231767212,
        4.848432403093345,
        4.848452488514571,
        4.848472573935797,
        4.8484926593570234,
        4.848512744778248,
        4.848532830199474,
        4.8485529156207,
        4.848573001041927,
        4.848593086463152,
        4.848613171884378,
        4.848633257305604,
        4.84865334272683,
        4.848673428148056,
        4.848693513569281,
        4.848713598990506,
        4.848733684411734,
        4.848753769832959,
        4.848773855254185,
        4.84879394067541,
        4.848814026096637,
        4.848834111517863,
        4.848854196939088,
        4.848874282360314,
        4.84889436778154,
        4.848914453202766,
        4.8489345386239915,
        4.848954624045217,
        4.848974709466444,
        4.84899479488767,
        4.849014880308895,
        4.849034965730121,
        4.849055051151347,
        4.849075136572573,
        4.849095221993799,
        4.8491153074150235,
        4.849135392836251,
        4.849155478257476,
        4.849175563678703,
        4.8491956490999275,
        4.849215734521153,
        4.84923581994238,
        4.849255905363605,
        4.8492759907848315,
        4.849296076206057,
        4.849316161627283,
        4.849336247048509,
        4.8493563324697355,
        4.84937641789096,
        4.849396503312186,
        4.849416588733412,
        4.849436674154639,
        4.849456759575864,
        4.849476844997089,
        4.849496930418316,
        4.849517015839542,
        4.849537101260768,
        4.849557186681993,
        4.849577272103218,
        4.849597357524446,
        4.849617442945671,
        4.849637528366897,
        4.849657613788122,
        4.849677699209349,
        4.849697784630575,
        4.8497178700518,
        4.849737955473026,
        4.849758040894252,
        4.849778126315478,
        4.849798211736704,
        4.849818297157929,
        4.849838382579156,
        4.849858468000382,
        4.849878553421607,
        4.8498986388428325,
        4.849918724264059,
        4.849938809685285,
        4.849958895106511,
        4.849978980527736,
        4.849999065948963,
        4.850019151370188,
        4.850039236791414,
        4.85005932221264,
        4.850079407633865,
        4.850099493055092,
        4.850119578476317,
        4.850139663897543,
        4.850159749318769,
        4.850179834739995,
        4.850199920161221,
        4.850220005582447,
        4.8502400910036725,
        4.850260176424898,
        4.850280261846124,
        4.85030034726735,
        4.8503204326885765,
        4.850340518109801,
        4.850360603531028,
        4.850380688952253,
        4.8504007743734805,
        4.850420859794705,
        4.85044094521593,
        4.850461030637157,
        4.850481116058383,
        4.850501201479609,
        4.850521286900834,
        4.85054137232206,
        4.850561457743287,
        4.850581543164512,
        4.850601628585738,
        4.850621714006963,
        4.85064179942819,
        4.850661884849416,
        4.850681970270641,
        4.850702055691866,
        4.850722141113094,
        4.850742226534319,
        4.8507623119555445,
        4.85078239737677,
        4.850802482797996,
        4.850822568219223,
        4.850842653640448,
        4.850862739061674,
        4.8508828244829,
        4.850902909904126,
        4.850922995325352,
        4.8509430807465765,
        4.850963166167804,
        4.850983251589029,
        4.851003337010255,
        4.851023422431481,
        4.851043507852707,
        4.851063593273933,
        4.851083678695159,
        4.8511037641163846,
        4.85112384953761,
        4.851143934958836,
        4.851164020380062,
        4.851184105801289,
        4.8512041912225135,
        4.85122427664374,
        4.851244362064965,
        4.851264447486193,
        4.8512845329074175,
        4.851304618328642,
        4.851324703749869,
        4.851344789171095,
        4.851364874592321,
        4.851384960013546,
        4.851867010122967,
        4.851887095544193,
        4.851907180965419,
        4.851927266386645,
        4.851947351807871,
        4.851967437229096,
        4.851987522650322,
        4.852007608071548,
        4.852027693492774,
        4.852047778914,
        4.8520678643352255,
        4.852087949756452,
        4.852108035177677,
        4.852128120598902,
        4.8521482060201295,
        4.852168291441354,
        4.852188376862581,
        4.852208462283806,
        4.852228547705033,
        4.852248633126258,
        4.852268718547484,
        4.85228880396871,
        4.852308889389936,
        4.8523289748111615,
        4.852349060232387,
        4.852369145653613,
        4.85238923107484,
        4.8524093164960655,
        4.85242940191729,
        4.852449487338517,
        4.852469572759743,
        4.852489658180969,
        4.8525097436021944,
        4.852529829023419,
        4.852549914444647,
        4.852569999865872,
        4.8525900852870985,
        4.852610170708324,
        4.85263025612955,
        4.852650341550776,
        4.852670426972001,
        4.852690512393228,
        4.852710597814453,
        4.852730683235679,
        4.852750768656905,
        4.852770854078131,
        4.852790939499357,
        4.852811024920582,
        4.852831110341808,
        4.8528511957630345,
        4.85287128118426,
        4.852891366605485,
        4.852911452026712,
        4.852931537447938,
        4.852951622869164,
        4.852971708290389,
        4.853544142795327,
        4.854237089827619,
        4.8542571752488435,
        4.854277260670071,
        4.854297346091296,
        4.854317431512522,
        4.8543375169337475,
        4.854357602354973,
        4.8543776877762,
        4.854397773197425,
        4.854417858618651,
        4.854437944039877,
        4.854458029461103,
        4.854478114882329,
        4.854498200303555,
        4.85451828572478,
        4.854538371146006,
        4.854558456567232,
        4.854578541988458,
        4.854598627409684,
        4.854618712830909,
        4.854638798252136,
        4.854658883673361,
        4.854678969094588,
        4.854699054515813,
        4.854719139937038,
        4.854739225358265,
        4.854759310779491,
        4.854779396200717,
        4.854799481621942,
        4.854819567043168,
        4.854839652464395,
        4.85485973788562,
        4.854879823306845,
        4.854899908728071,
        4.854919994149298,
        4.8549400795705235,
        4.854960164991749,
        4.854980250412974,
        4.855502471364848,
        4.855522556786073,
        4.8555426422073,
        4.855562727628525,
        4.85558281304975,
        4.855602898470977,
        4.855622983892202,
        4.855703325577106,
        4.8557234109983325,
        4.855743496419557,
        4.855763581840783,
        4.855783667262009,
        4.855803752683236,
        4.855823838104461,
        4.855843923525686,
        4.855864008946913,
        4.855884094368139,
        4.8559041797893645,
        4.85592426521059,
        4.855944350631816,
        4.855964436053043,
        4.855984521474268,
        4.856004606895494,
        4.85602469231672,
        4.856044777737946,
        4.856064863159172,
        4.8560849485803965,
        4.856105034001624,
        4.856125119422849,
        4.856145204844075,
        4.8561652902653005,
        4.856185375686527,
        4.856205461107753,
        4.856225546528979,
        4.856245631950204,
        4.85626571737143,
        4.856285802792656,
        4.856305888213882,
        4.856325973635108,
        4.856346059056333,
        4.85636614447756,
        4.856386229898785,
        4.856406315320011,
        4.856426400741237,
        4.856446486162462,
        4.856466571583689,
        4.856486657004914,
        4.8565067424261406,
        4.856526827847366,
        4.856546913268592,
        4.856566998689818,
        4.856587084111044,
        4.8566071695322695,
        4.856627254953495,
        4.856647340374721,
        4.856667425795948,
        4.8566875112171735,
        4.856707596638398,
        4.856727682059625,
        4.856747767480851,
        4.856767852902077,
        4.856787938323302,
        4.856808023744527,
        4.856828109165755,
        4.85684819458698,
        4.856868280008206,
        4.856888365429431,
        4.856908450850658,
        4.856928536271884,
        4.856948621693109,
        4.856968707114335,
        4.856988792535561,
        4.857008877956787,
        4.857028963378013,
        4.857049048799238,
        4.857069134220464,
        4.857089219641691,
        4.857109305062916,
        4.8571293904841415,
        4.857149475905368,
        4.857169561326593,
        4.85718964674782,
        4.857209732169045,
        4.857229817590272,
        4.857249903011497,
        4.857269988432722,
        4.857290073853949,
        4.857310159275174,
        4.857330244696401,
        4.857350330117626,
        4.857370415538852,
        4.857390500960078,
        4.857410586381304,
        4.85743067180253,
        4.857450757223755,
        4.8574708426449815,
        4.857490928066207,
        4.857511013487433,
        4.85753109890866,
        4.8575511843298855,
        4.85757126975111,
        4.857591355172337,
        4.857611440593563,
        4.857631526014789,
        4.857651611436014,
        4.857671696857239,
        4.857691782278467,
        4.857711867699692,
        4.8577319531209175,
        4.857752038542143,
        4.85777212396337,
        4.857792209384596,
        4.857812294805821,
        4.857832380227047,
        4.857852465648273,
        4.857872551069499,
        4.857892636490725,
        4.8579127219119504,
        4.857932807333176,
        4.857952892754403,
        4.857972978175628,
        4.857993063596854,
        4.85801314901808,
        4.858033234439305,
        4.858053319860532,
        4.858073405281757,
        4.858093490702984,
        4.858113576124209,
        4.858133661545434,
        4.858153746966661,
        4.8581738323878865,
        4.858193917809113,
        4.858214003230338,
        4.858234088651564,
        4.8582541740727905,
        4.858274259494016,
        4.858294344915242,
        4.858314430336467,
        4.858334515757694,
        4.858354601178919,
        4.858374686600145,
        4.858394772021371,
        4.858414857442598,
        4.8584349428638225,
        4.858455028285049,
        4.858475113706274,
        4.8584951991275,
        4.8585152845487265,
        4.858535369969951,
        4.858555455391178,
        4.858575540812404,
        4.85859562623363,
        4.858615711654855,
        4.858635797076081,
        4.858655882497308,
        4.858675967918533,
        4.859097761764276,
        4.859117847185502,
        4.859137932606728,
        4.859158018027954,
        4.859178103449179,
        4.859198188870406,
        4.8592182742916314,
        4.859238359712857,
        4.859258445134082,
        4.85927853055531,
        4.859298615976535,
        4.859318701397761,
        4.859338786818986,
        4.859358872240212,
        4.859378957661439,
        4.8593990430826635,
        4.85941912850389,
        4.859439213925116,
        4.859459299346342,
        4.8594793847675675,
        4.859499470188792,
        4.85951955561002,
        4.859539641031245,
        4.859559726452471,
        4.859579811873696,
        4.859599897294923,
        4.859619982716149,
        4.859640068137375,
        4.8596601535585995,
        4.859680238979826,
        4.859700324401052,
        4.859720409822278,
        4.8597404952435035,
        4.859760580664729,
        4.859780666085956,
        4.859800751507181,
        4.8598208369284075,
        4.859840922349633,
        4.859861007770858,
        4.859881093192085,
        4.85990117861331,
        4.859921264034536,
        4.859941349455762,
        4.859961434876988,
        4.859981520298214,
        4.86000160571944,
        4.860021691140665,
        4.860041776561891,
        4.860061861983117,
        4.8600819474043435,
        4.860102032825569,
        4.860122118246794,
        4.860142203668021,
        4.860162289089247,
        4.860182374510473,
        4.860202459931698,
        4.860222545352923,
        4.860242630774151,
        4.8602627161953755,
        4.860282801616602,
        4.860302887037827,
        4.860322972459054,
        4.8603430578802795,
        4.860363143301504,
        4.860383228722731,
        4.860403314143957,
        4.860423399565183,
        4.860443484986408,
        4.860463570407634,
        4.860483655828861,
        4.860503741250087,
        4.8605238266713116,
        4.860543912092537,
        4.860563997513764,
        4.860584082934989,
        4.860604168356216,
        4.8606242537774405,
        4.860644339198668,
        4.860664424619893,
        4.860684510041119,
        4.8607045954623445,
        4.86072468088357,
        4.860744766304797,
        4.860764851726022,
        4.860784937147248,
        4.860805022568474,
        4.8608251079897,
        4.860845193410926,
        4.8608652788321525,
        4.860885364253377,
        4.860905449674603,
        4.860925535095829,
        4.860945620517056,
        4.860965705938281,
        4.860985791359506,
        4.861005876780733,
        4.861025962201959,
        4.861046047623185,
        4.86106613304441,
        4.861086218465635,
        4.861106303886863,
        4.861126389308088,
        4.861146474729314,
        4.861166560150539,
        4.861186645571766,
        4.861206730992992,
        4.8612268164142165,
        4.861246901835442,
        4.861266987256669,
        4.861287072677895,
        4.8613071580991205,
        4.861327243520346,
        4.861347328941572,
        4.861367414362799,
        4.861387499784024,
        4.861407585205249,
        4.861427670626476,
        4.861447756047701,
        4.861467841468928,
        4.8614879268901525,
        4.86150801231138,
        4.861528097732605,
        4.861548183153831,
        4.8615682685750565,
        4.861588353996282,
        4.861608439417509,
        4.861628524838734,
        4.86164861025996,
        4.861668695681186,
        4.861688781102412,
        4.861708866523638,
        4.861728951944864,
        4.861749037366089,
        4.861769122787315,
        4.861789208208541,
        4.861809293629767,
        4.861829379050993,
        4.861849464472218,
        4.861869549893445,
        4.86188963531467,
        4.861909720735897,
        4.861929806157122,
        4.861949891578347,
        4.861969976999574,
        4.8619900624208,
        4.8620101478420255,
        4.862030233263251,
        4.862050318684477,
        4.862070404105704,
        4.862090489526929,
        4.862110574948154,
        4.86213066036938,
        4.862150745790607,
        4.862170831211833,
        4.862190916633058,
        4.862211002054283,
        4.862231087475511,
        4.862251172896736,
        4.8622712583179615,
        4.862291343739187,
        4.862311429160413,
        4.86233151458164,
        4.862753308427382,
        4.862773393848608,
        4.862793479269834,
        4.862813564691059,
        4.862833650112286,
        4.862853735533512,
        4.8628738209547375,
        4.862893906375963,
        4.862913991797189,
        4.862934077218416,
        4.862954162639641,
        4.862974248060866,
        4.862994333482092,
        4.863014418903319,
        4.863034504324545,
        4.86305458974577,
        4.863074675166995,
        4.863094760588223,
        4.863114846009448,
        4.8631349314306735,
        4.863155016851899,
        4.863175102273125,
        4.863195187694352,
        4.863215273115577,
        4.863235358536803,
        4.863255443958029,
        4.863275529379254,
        4.863295614800481,
        4.863315700221706,
        4.863335785642933,
        4.863355871064158,
        4.863375956485384,
        4.86339604190661,
        4.863416127327836,
        4.863436212749061,
        4.863456298170287,
        4.863476383591513,
        4.863496469012739,
        4.863516554433965,
        4.86353663985519,
        4.863556725276417,
        4.8635768106976425,
        4.863596896118869,
        4.863616981540094,
        4.863637066961319,
        4.8636571523825465,
        4.863677237803771,
        4.863697323224998,
        4.863717408646223,
        4.86373749406745,
        4.863757579488675,
        4.863777664909901,
        4.863797750331127,
        4.863817835752353,
        4.8638379211735785,
        4.863858006594804,
        4.86387809201603,
        4.863898177437257,
        4.8639182628584825,
        4.863938348279707,
        4.863958433700934,
        4.86397851912216,
        4.863998604543386,
        4.864018689964611,
        4.864038775385836,
        4.864058860807064,
        4.864078946228289,
        4.8640990316495145,
        4.864119117070741,
        4.864139202491966,
        4.864159287913193,
        4.864179373334418,
        4.864199458755644,
        4.86421954417687,
        4.864239629598096,
        4.864259715019322,
        4.864279800440548,
        4.864299885861773,
        4.864319971282999,
        4.864340056704225,
        4.864360142125451,
        4.864380227546677,
        4.864400312967902,
        4.864420398389129,
        4.8644404838103545,
        4.864460569231581,
        4.864480654652806,
        4.864500740074031,
        4.8645208254952585,
        4.864540910916483,
        4.86456099633771,
        4.864581081758935,
        4.864601167180162,
        4.8646212526013874,
        4.864641338022613,
        4.864661423443839,
        4.864681508865065,
        4.864701594286291,
        4.864721679707516,
        4.864741765128742,
        4.864761850549968,
        4.864781935971195,
        4.8648020213924195,
        4.864822106813645,
        4.864842192234872,
        4.864862277656097,
        4.8648823630773235,
        4.864902448498548,
        4.864922533919776,
        4.864942619341001,
        4.864962704762227,
        4.864982790183452,
        4.865002875604678,
        4.865022961025905,
        4.86504304644713,
        4.8650631318683555,
        4.865083217289582,
        4.865103302710808,
        4.865123388132034,
        4.8651434735532595,
        4.865163558974485,
        4.865183644395711,
        4.865203729816937,
        4.865223815238163,
        4.865243900659389,
        4.865263986080614,
        4.865284071501841,
        4.865304156923066,
        4.865324242344293,
        4.865344327765518,
        4.865364413186743,
        4.86538449860797,
        4.8654045840291955,
        4.865424669450422,
        4.865444754871647,
        4.865464840292873,
        4.8654849257140995,
        4.865505011135324,
        4.865525096556551,
        4.865545181977776,
        4.865565267399003,
        4.865585352820228,
        4.865605438241454,
        4.865625523662679,
        4.865645609083907,
        4.8656656945051315,
        4.865685779926357,
        4.865705865347583,
        4.865725950768809,
        4.8657460361900355,
        4.86576612161126,
        4.865786207032488,
        4.865806292453713,
        4.865826377874939,
        4.865846463296164,
        4.86586654871739,
        4.865886634138617,
        4.865906719559842,
        4.8659268049810676,
        4.865946890402294,
        4.86596697582352,
        4.865987061244746,
        4.866408855090488,
        4.866428940511715,
        4.8664490259329405,
        4.866469111354166,
        4.866489196775391,
        4.866509282196619,
        4.866529367617844,
        4.866549453039069,
        4.866569538460295,
        4.866589623881521,
        4.866609709302748,
        4.8666297947239725,
        4.866649880145199,
        4.866669965566425,
        4.866690050987651,
        4.8667101364088765,
        4.866730221830101,
        4.866750307251329,
        4.866770392672554,
        4.86679047809378,
        4.866810563515005,
        4.866830648936232,
        4.866850734357458,
        4.866870819778684,
        4.8668909051999085,
        4.866910990621135,
        4.866931076042361,
        4.866951161463586,
        4.8669712468848125,
        4.866991332306038,
        4.867011417727265,
        4.86703150314849,
        4.867051588569715,
        4.867071673990942,
        4.867091759412167,
        4.867111844833394,
        4.867131930254619,
        4.867152015675845,
        4.867172101097071,
        4.867192186518297,
        4.867212271939523,
        4.8672323573607486,
        4.867252442781974,
        4.8672725282032,
        4.867292613624426,
        4.867312699045653,
        4.867332784466878,
        4.867352869888103,
        4.86737295530933,
        4.867393040730556,
        4.8674131261517815,
        4.867433211573007,
        4.867453296994233,
        4.86747338241546,
        4.867493467836685,
        4.867513553257911,
        4.867533638679137,
        4.867553724100363,
        4.867573809521589,
        4.8675938949428135,
        4.86761398036404,
        4.867634065785266,
        4.867654151206492,
        4.8676742366277175,
        4.867694322048944,
        4.867714407470169,
        4.867734492891396,
        4.867754578312621,
        4.867774663733847,
        4.867794749155073,
        4.867814834576298,
        4.867834919997525,
        4.86785500541875,
        4.867875090839977,
        4.867895176261202,
        4.867915261682427,
        4.867935347103654,
        4.867955432524879,
        4.867975517946106,
        4.867995603367331,
        4.8680156887885575,
        4.868035774209783,
        4.868055859631009,
        4.868075945052235,
        4.868096030473461,
        4.868116115894686,
        4.868136201315912,
        4.868156286737138,
        4.868176372158365,
        4.86819645757959,
        4.868216543000815,
        4.868236628422042,
        4.868256713843268,
        4.8682767992644935,
        4.868296884685719,
        4.868316970106944,
        4.868337055528172,
        4.868357140949397,
        4.868377226370622,
        4.868397311791848,
        4.868417397213075,
        4.868437482634301,
        4.8684575680555255,
        4.868477653476751,
        4.868497738897978,
        4.868517824319204,
        4.8685379097404295,
        4.868557995161655,
        4.868578080582881,
        4.868598166004107,
        4.868618251425333,
        4.8686383368465584,
        4.868658422267785,
        4.86867850768901,
        4.868698593110237,
        4.868718678531462,
        4.868738763952689,
        4.868758849373914,
        4.868778934795139,
        4.868799020216366,
        4.868819105637591,
        4.868839191058818,
        4.868859276480043,
        4.868879361901269,
        4.868899447322495,
        4.868919532743721,
        4.868939618164947,
        4.868959703586172,
        4.8689797890073985,
        4.868999874428624,
        4.86901995984985,
        4.869040045271077,
        4.8690601306923025,
        4.869080216113527,
        4.869100301534754,
        4.86912038695598,
        4.869140472377205,
        4.869160557798431,
        4.869180643219656,
        4.869200728640884,
        4.869220814062109,
        4.8692408994833345,
        4.86926098490456,
        4.869281070325786,
        4.869301155747013,
        4.869321241168238,
        4.869341326589463,
        4.86936141201069,
        4.869381497431916,
        4.869401582853142,
        4.869421668274367,
        4.869441753695593,
        4.869461839116819,
        4.869481924538045,
        4.8695020099592705,
        4.869522095380497,
        4.869542180801722,
        4.869562266222949,
        4.869582351644174,
        4.869602437065401,
        4.869622522486626,
        4.869642607907851,
        4.869662693329078,
        4.8700242309111434,
        4.870044316332368,
        4.870064401753595,
        4.870084487174821,
        4.870104572596047,
        4.870124658017272,
        4.870144743438497,
        4.870164828859725,
        4.87018491428095,
        4.8702049997021755,
        4.870225085123401,
        4.870245170544628,
        4.870265255965854,
        4.8702853413870795,
        4.870305426808304,
        4.870325512229531,
        4.870345597650757,
        4.870365683071983,
        4.870385768493208,
        4.870405853914434,
        4.870425939335661,
        4.870446024756886,
        4.8704661101781115,
        4.870486195599338,
        4.870506281020563,
        4.87052636644179,
        4.870546451863015,
        4.870566537284241,
        4.870586622705467,
        4.870606708126693,
        4.870626793547919,
        4.870646878969145,
        4.87066696439037,
        4.870687049811596,
        4.870707135232823,
        4.870727220654048,
        4.870747306075274,
        4.870767391496499,
        4.870787476917727,
        4.8708075623389515,
        4.870827647760177,
        4.870847733181403,
        4.870867818602629,
        4.8708879040238555,
        4.87090798944508,
        4.870928074866307,
        4.870948160287533,
        4.870968245708759,
        4.870988331129984,
        4.871008416551209,
        4.871028501972437,
        4.871048587393662,
        4.8710686728148875,
        4.871088758236113,
        4.87110884365734,
        4.871128929078565,
        4.8711490144997915,
        4.871169099921016,
        4.871189185342243,
        4.871209270763469,
        4.871229356184694,
        4.87124944160592,
        4.871269527027146,
        4.871289612448373,
        4.871309697869598,
        4.871329783290824,
        4.87134986871205,
        4.871369954133275,
        4.871390039554502,
        4.871410124975727,
        4.871430210396953,
        4.871450295818179,
        4.871470381239405,
        4.871490466660631,
        4.8715105520818565,
        4.871530637503082,
        4.871550722924308,
        4.871570808345534,
        4.8715908937667605,
        4.871610979187986,
        4.871631064609211,
        4.871651150030438,
        4.871671235451664,
        4.871691320872889,
        4.871711406294115,
        4.87173149171534,
        4.871751577136568,
        4.8717716625577925,
        4.871791747979019,
        4.871811833400244,
        4.871831918821471,
        4.8718520042426965,
        4.871872089663921,
        4.871892175085148,
        4.871912260506374,
        4.8719323459276,
        4.871952431348825,
        4.871972516770051,
        4.871992602191277,
        4.872012687612504,
        4.8720327730337285,
        4.872052858454954,
        4.872072943876181,
        4.872093029297406,
        4.8721131147186325,
        4.872133200139857,
        4.872153285561085,
        4.87217337098231,
        4.872193456403535,
        4.872213541824761,
        4.872233627245987,
        4.872253712667214,
        4.872273798088439,
        4.8722938835096645,
        4.872313968930891,
        4.872334054352117,
        4.872354139773343,
        4.8723742251945685,
        4.872394310615794,
        4.87241439603702,
        4.872434481458246,
        4.8724545668794725,
        4.872474652300698,
        4.872494737721923,
        4.87251482314315,
        4.872534908564376,
        4.872554993985601,
        4.872575079406827,
        4.872595164828052,
        4.87261525024928,
        4.8726353356705046,
        4.87265542109173,
        4.872675506512956,
        4.872695591934183,
        4.872715677355409,
        4.8727357627766335,
        4.872755848197859,
        4.872775933619086,
        4.872796019040312,
        4.8728161044615375,
        4.872836189882763,
        4.872856275303989,
        4.872876360725216,
        4.872896446146441,
        4.872916531567666,
        4.872936616988893,
        4.872956702410118,
        4.872976787831345,
        4.8729968732525695,
        4.873016958673797,
        4.873037044095022,
        4.873057129516247,
        4.8730772149374735,
        4.873097300358699,
        4.873117385779926,
        4.873137471201151,
        4.873157556622377,
        4.873257983728506,
        4.873278069149732,
        4.873298154570958,
        4.873659692153024,
        4.8736797775742495,
        4.873699862995475,
        4.8737199484167,
        4.873740033837928,
        4.873760119259153,
        4.873780204680378,
        4.873800290101604,
        4.87382037552283,
        4.873840460944057,
        4.8738605463652815,
        4.873880631786508,
        4.873900717207734,
        4.873920802628959,
        4.8739408880501855,
        4.873960973471411,
        4.873981058892637,
        4.874001144313863,
        4.874021229735089,
        4.874041315156315,
        4.874061400577541,
        4.874081485998766,
        4.874101571419992,
        4.8741216568412185,
        4.874141742262444,
        4.87416182768367,
        4.874181913104895,
        4.8742019985261225,
        4.874222083947347,
        4.874242169368574,
        4.874262254789799,
        4.874282340211025,
        4.874302425632251,
        4.874322511053476,
        4.874342596474703,
        4.874362681895929,
        4.8743827673171545,
        4.87440285273838,
        4.874422938159606,
        4.874443023580833,
        4.874463109002058,
        4.874483194423283,
        4.874503279844509,
        4.874523365265736,
        4.874543450686962,
        4.874563536108187,
        4.874583621529412,
        4.874603706950639,
        4.874623792371865,
        4.8746438777930905,
        4.874663963214316,
        4.874684048635542,
        4.874704134056769,
        4.874724219477994,
        4.874744304899219,
        4.874764390320446,
        4.874784475741671,
        4.874804561162898,
        4.8748246465841225,
        4.874844732005349,
        4.874864817426575,
        4.874884902847801,
        4.8749049882690265,
        4.874925073690253,
        4.874945159111478,
        4.874965244532704,
        4.87498532995393,
        4.875005415375156,
        4.875025500796382,
        4.875045586217607,
        4.875065671638834,
        4.875085757060059,
        4.875105842481286,
        4.875125927902511,
        4.875146013323736,
        4.875166098744963,
        4.875186184166188,
        4.875206269587415,
        4.87522635500864,
        4.8752464404298665,
        4.875266525851092,
        4.875286611272317,
        4.875306696693544,
        4.87532678211477,
        4.875346867535995,
        4.875366952957221,
        4.875387038378447,
        4.875407123799674,
        4.8754272092208994,
        4.875447294642124,
        4.87546738006335,
        4.875487465484577,
        4.875507550905802,
        4.875527636327028,
        4.875547721748253,
        4.875567807169481,
        4.875587892590706,
        4.8756079780119315,
        4.875628063433158,
        4.875648148854383,
        4.87566823427561,
        4.875688319696835,
        4.875708405118061,
        4.875728490539287,
        4.875748575960513,
        4.875768661381739,
        4.875788746802965,
        4.87580883222419,
        4.875828917645416,
        4.875849003066642,
        4.875869088487868,
        4.875889173909094,
        4.875909259330319,
        4.875929344751546,
        4.8759494301727715,
        4.875969515593998,
        4.875989601015223,
        4.876009686436448,
        4.8760297718576755,
        4.8760498572789,
        4.876069942700127,
        4.876090028121352,
        4.876110113542579,
        4.876130198963804,
        4.876150284385029,
        4.876170369806255,
        4.876190455227482,
        4.8762105406487075,
        4.876230626069933,
        4.876250711491159,
        4.876270796912385,
        4.8762908823336115,
        4.876310967754836,
        4.876331053176062,
        4.876351138597289,
        4.876371224018514,
        4.87639130943974,
        4.876411394860965,
        4.876431480282193,
        4.876451565703418,
        4.8764716511246435,
        4.876491736545869,
        4.876511821967095,
        4.876531907388322,
        4.876551992809547,
        4.876572078230772,
        4.876592163651999,
        4.876612249073225,
        4.876632334494451,
        4.876652419915676,
        4.876672505336902,
        4.876692590758128,
        4.876712676179354,
        4.87673276160058,
        4.876752847021806,
        4.876772932443031,
        4.876793017864258,
        4.876813103285483,
        4.8768331887067085,
        4.876853274127935,
        4.87687335954916,
        4.876893444970387,
        4.8769135303916125,
        4.877295153394905,
        4.87731523881613,
        4.877335324237356,
        4.877355409658581,
        4.877375495079807,
        4.877395580501034,
        4.877415665922259,
        4.8774357513434845,
        4.877455836764711,
        4.877475922185937,
        4.877496007607162,
        4.877516093028388,
        4.877536178449614,
        4.87755626387084,
        4.877576349292066,
        4.877596434713291,
        4.877616520134518,
        4.877636605555743,
        4.87765669097697,
        4.877676776398195,
        4.8776968618194205,
        4.877716947240647,
        4.877737032661872,
        4.877757118083099,
        4.8777772035043245,
        4.87779728892555,
        4.877817374346776,
        4.877837459768002,
        4.8778575451892285,
        4.877877630610453,
        4.877897716031679,
        4.877917801452905,
        4.877937886874132,
        4.877957972295357,
        4.877978057716583,
        4.877998143137808,
        4.878018228559036,
        4.8780383139802606,
        4.878058399401486,
        4.878078484822712,
        4.878098570243938,
        4.878118655665165,
        4.8781387410863895,
        4.878158826507616,
        4.878178911928842,
        4.878198997350067,
        4.8782190827712935,
        4.878239168192518,
        4.878259253613746,
        4.878279339034971,
        4.878299424456197,
        4.878319509877422,
        4.878339595298649,
        4.878359680719874,
        4.8783797661411,
        4.8783998515623255,
        4.878419936983552,
        4.878440022404778,
        4.878460107826003,
        4.8784801932472295,
        4.878500278668455,
        4.878520364089682,
        4.878540449510907,
        4.878560534932132,
        4.878580620353359,
        4.878600705774584,
        4.878620791195811,
        4.878640876617036,
        4.878660962038262,
        4.878681047459488,
        4.878701132880714,
        4.87872121830194,
        4.8787413037231655,
        4.878761389144391,
        4.878781474565617,
        4.878801559986843,
        4.8788216454080695,
        4.878841730829295,
        4.87886181625052,
        4.878881901671747,
        4.878901987092973,
        4.878922072514198,
        4.878942157935424,
        4.87896224335665,
        4.878982328777877,
        4.8790024141991015,
        4.879022499620327,
        4.879042585041554,
        4.879062670462779,
        4.8790827558840055,
        4.87910284130523,
        4.879122926726457,
        4.879143012147683,
        4.879163097568909,
        4.879183182990134,
        4.879203268411361,
        4.879223353832586,
        4.879243439253812,
        4.8792635246750375,
        4.879283610096264,
        4.87930369551749,
        4.879323780938715,
        4.8793438663599416,
        4.879363951781167,
        4.879384037202394,
        4.879404122623619,
        4.879424208044844,
        4.879444293466071,
        4.879464378887296,
        4.879484464308523,
        4.879504549729748,
        4.8795246351509745,
        4.8795447205722,
        4.879564805993426,
        4.879584891414652,
        4.879604976835878,
        4.879625062257103,
        4.879645147678329,
        4.879665233099555,
        4.879685318520781,
        4.879705403942007,
        4.879725489363232,
        4.879745574784459,
        4.879765660205685,
        4.87978574562691,
        4.879805831048136,
        4.879825916469361,
        4.879846001890589,
        4.879866087311814,
        4.879886172733039,
        4.879906258154265,
        4.879926343575491,
        4.879946428996718,
        4.8799665144179425,
        4.879986599839168,
        4.880006685260395,
        4.880026770681621,
        4.8800468561028465,
        4.880066941524072,
        4.880087026945298,
        4.880107112366524,
        4.88012719778775,
        4.880147283208975,
        4.880167368630202,
        4.880187454051427,
        4.880207539472654,
        4.8802276248938785,
        4.880247710315106,
        4.880267795736331,
        4.880287881157556,
        4.8803079665787825,
        4.880328052000008,
        4.880348137421234,
        4.88036822284246,
        4.880388308263686,
        4.880408393684912,
        4.880428479106138,
        4.880448564527363,
        4.880468649948589,
        4.880488735369815,
        4.880508820791041,
        4.880528906212267,
        4.880548991633493,
        4.880569077054719,
        4.880589162475944,
        4.88060924789717,
        4.880629333318397,
        4.880649418739622,
        4.880669504160848,
        4.880910529215559,
        4.880930614636784,
        4.88095070005801,
        4.880970785479236,
        4.880990870900462,
        4.8810109563216875,
        4.881031041742914,
        4.881051127164139,
        4.881071212585366,
        4.881091298006591,
        4.881111383427817,
        4.881131468849043,
        4.881151554270268,
        4.881171639691495,
        4.88119172511272,
        4.881211810533946,
        4.881231895955172,
        4.881251981376398,
        4.881272066797624,
        4.881292152218849,
        4.881312237640075,
        4.881332323061301,
        4.8813524084825275,
        4.881372493903753,
        4.881392579324979,
        4.881412664746204,
        4.8814327501674315,
        4.881452835588656,
        4.881472921009882,
        4.881493006431108,
        4.881513091852334,
        4.88153317727356,
        4.881553262694785,
        4.881573348116012,
        4.881593433537238,
        4.8816135189584635,
        4.881633604379689,
        4.881653689800914,
        4.881673775222141,
        4.881693860643367,
        4.881713946064592,
        4.881734031485818,
        4.881754116907045,
        4.881774202328271,
        4.881794287749496,
        4.881814373170721,
        4.881834458591948,
        4.881854544013174,
        4.881874629434399,
        4.881894714855625,
        4.881914800276851,
        4.881934885698078,
        4.881954971119303,
        4.8819750565405275,
        4.881995141961755,
        4.88201522738298,
        4.882035312804207,
        4.8820553982254316,
        4.882075483646658,
        4.882095569067884,
        4.88211565448911,
        4.882135739910336,
        4.882155825331561,
        4.882175910752787,
        4.882195996174013,
        4.88221608159524,
        4.882236167016465,
        4.882256252437691,
        4.882276337858916,
        4.882296423280144,
        4.8823165087013685,
        4.882336594122594,
        4.88235667954382,
        4.882376764965046,
        4.8823968503862725,
        4.882416935807497,
        4.882437021228724,
        4.88245710664995,
        4.882477192071176,
        4.882497277492401,
        4.882517362913626,
        4.882537448334853,
        4.882557533756079,
        4.8825776191773045,
        4.88259770459853,
        4.882617790019757,
        4.882637875440982,
        4.8826579608622085,
        4.882678046283433,
        4.88269813170466,
        4.882718217125886,
        4.882738302547111,
        4.882758387968337,
        4.882778473389563,
        4.88279855881079,
        4.882818644232015,
        4.88283872965324,
        4.882858815074467,
        4.882878900495692,
        4.882898985916919,
        4.882919071338144,
        4.88293915675937,
        4.882959242180596,
        4.882979327601822,
        4.882999413023048,
        4.883019498444273,
        4.883039583865499,
        4.883059669286725,
        4.883079754707951,
        4.883099840129177,
        4.883119925550403,
        4.883140010971628,
        4.883160096392855,
        4.8831801818140805,
        4.883200267235305,
        4.883220352656532,
        4.883240438077757,
        4.8832605234989845,
        4.883280608920209,
        4.883300694341435,
        4.883320779762661,
        4.883340865183888,
        4.883360950605113,
        4.883381036026338,
        4.883401121447564,
        4.883421206868791,
        4.8834412922900166,
        4.883461377711242,
        4.883481463132468,
        4.883501548553694,
        4.88352163397492,
        4.8835417193961455,
        4.883561804817371,
        4.883581890238598,
        4.883601975659823,
        4.8836220610810495,
        4.883642146502274,
        4.883662231923502,
        4.883682317344727,
        4.883702402765952,
        4.883722488187178,
        4.883742573608404,
        4.883762659029631,
        4.883782744450856,
        4.8838028298720815,
        4.883822915293308,
        4.883843000714534,
        4.883863086135759,
        4.8838831715569855,
        4.883903256978211,
        4.883923342399437,
        4.883943427820663,
        4.883963513241889,
        4.883983598663115,
        4.88400368408434,
        4.884023769505567,
        4.884043854926793,
        4.8840639403480175,
        4.884084025769244,
        4.884104111190469,
        4.884124196611697,
        4.8841442820329215,
        4.884164367454147,
        4.884184452875373,
        4.884204538296599,
        4.8842246237178255,
        4.88424470913905,
        4.884264794560276,
        4.884284879981503,
        4.884525905036213,
        4.884545990457439,
        4.884566075878664,
        4.88458616129989,
        4.884606246721116,
        4.884626332142343,
        4.884646417563568,
        4.8846665029847935,
        4.88468658840602,
        4.884706673827246,
        4.884726759248471,
        4.884746844669697,
        4.884766930090923,
        4.884787015512149,
        4.884807100933375,
        4.8848271863546,
        4.884847271775827,
        4.884867357197052,
        4.884887442618279,
        4.884907528039504,
        4.88492761346073,
        4.884947698881956,
        4.884967784303181,
        4.884987869724408,
        4.885007955145634,
        4.885028040566859,
        4.885048125988085,
        4.88506821140931,
        4.885088296830538,
        4.8851083822517625,
        4.885128467672988,
        4.885148553094214,
        4.885168638515441,
        4.885188723936666,
        4.885208809357892,
        4.885228894779117,
        4.885248980200344,
        4.88526906562157,
        4.885289151042795,
        4.885309236464021,
        4.885329321885247,
        4.885349407306474,
        4.8853694927276985,
        4.885389578148924,
        4.885409663570151,
        4.885429748991376,
        4.8854498344126025,
        4.885469919833828,
        4.885490005255054,
        4.88551009067628,
        4.885530176097506,
        4.885550261518732,
        4.885570346939958,
        4.885590432361183,
        4.885610517782409,
        4.885630603203635,
        4.885650688624861,
        4.885670774046087,
        4.885690859467312,
        4.885710944888539,
        4.885731030309764,
        4.885751115730991,
        4.885771201152216,
        4.885791286573442,
        4.885811371994668,
        4.885831457415893,
        4.88585154283712,
        4.885871628258346,
        4.885891713679571,
        4.885911799100797,
        4.885931884522022,
        4.88595196994325,
        4.8859720553644745,
        4.8859921407857,
        4.886012226206926,
        4.886032311628153,
        4.886052397049378,
        4.886072482470604,
        4.886092567891829,
        4.886112653313056,
        4.886132738734282,
        4.886152824155507,
        4.886172909576733,
        4.886192994997959,
        4.886213080419186,
        4.886233165840411,
        4.886253251261636,
        4.886273336682863,
        4.886293422104088,
        4.886313507525315,
        4.8863335929465395,
        4.886353678367766,
        4.886373763788992,
        4.886393849210218,
        4.8864139346314435,
        4.88643402005267,
        4.886454105473895,
        4.886474190895121,
        4.886494276316347,
        4.886514361737573,
        4.887036582689445,
        4.88705666811067,
        4.887076753531898,
        4.887096838953123,
        4.887116924374348,
        4.887137009795575,
        4.8871570952168,
        4.887177180638027,
        4.8871972660592515,
        4.887217351480478,
        4.887237436901704,
        4.88725752232293,
        4.8872776077441555,
        4.887297693165381,
        4.887317778586607,
        4.887337864007833,
        4.887357949429059,
        4.887378034850285,
        4.887398120271511,
        4.887418205692736,
        4.887438291113963,
        4.887458376535188,
        4.887478461956414,
        4.88749854737764,
        4.887518632798865,
        4.8875387182200924,
        4.887558803641317,
        4.887578889062543,
        4.887598974483769,
        4.887619059904996,
        4.887639145326221,
        4.887659230747446,
        4.887679316168672,
        4.887699401589899,
        4.8877194870111245,
        4.88773957243235,
        4.887759657853576,
        4.887779743274802,
        4.8877998286960285,
        4.887819914117253,
        4.887839999538479,
        4.887860084959706,
        4.887880170380931,
        4.887900255802157,
        4.887920341223382,
        4.888101110014416,
        4.888121195435642,
        4.888141280856867,
        4.8881613662780925,
        4.888181451699319,
        4.888201537120545,
        4.888221622541771,
        4.888241707962996,
        4.888261793384223,
        4.888281878805448,
        4.888301964226675,
        4.8883220496479,
        4.888342135069125,
        4.888362220490352,
        4.888382305911577,
        4.888402391332804,
        4.888422476754029,
        4.888442562175255,
        4.888462647596481,
        4.888482733017707,
        4.888502818438933,
        4.888522903860158,
        4.888542989281384,
        4.88856307470261,
        4.8885831601238365,
        4.888603245545062,
        4.888623330966288,
        4.888643416387513,
        4.8886635018087405,
        4.888683587229965,
        4.88870367265119,
        4.888723758072417,
        4.888743843493643,
        4.888763928914869,
        4.888784014336094,
        4.888804099757322,
        4.888824185178547,
        4.888844270599772,
        4.888864356020998,
        4.888884441442224,
        4.88890452686345,
        4.888924612284676,
        4.8889446977059015,
        4.888964783127128,
        4.888984868548354,
        4.889004953969579,
        4.889025039390805,
        4.889045124812031,
        4.889065210233257,
        4.889085295654483,
        4.889105381075708,
        4.889125466496935,
        4.88914555191816,
        4.889165637339387,
        4.889185722760612,
        4.8892058081818375,
        4.889225893603064,
        4.889245979024289,
        4.889266064445516,
        4.8892861498667415,
        4.889306235287967,
        4.889326320709193,
        4.889346406130419,
        4.8893664915516455,
        4.88938657697287,
        4.889406662394096,
        4.889426747815322,
        4.889446833236549,
        4.889466918657774,
        4.889487004079,
        4.889507089500225,
        4.889527174921452,
        4.8895472603426775,
        4.889567345763902,
        4.889587431185129,
        4.889607516606355,
        4.8896276020275815,
        4.889647687448806,
        4.889667772870032,
        4.889687858291259,
        4.889707943712484,
        4.88972802913371,
        4.889748114554935,
        4.889768199976162,
        4.889788285397388,
        4.8898083708186135,
        4.889828456239839,
        4.889848541661066,
        4.889868627082291,
        4.889888712503517,
        4.889908797924742,
        4.889928883345969,
        4.889948968767195,
        4.88996905418842,
        4.889989139609646,
        4.890009225030872,
        4.890029310452099,
        4.890049395873324,
        4.890069481294549,
        4.890089566715776,
        4.890109652137001,
        4.890129737558228,
        4.890149822979453,
        4.890169908400679,
        4.890189993821905,
        4.89021007924313,
        4.890230164664357,
        4.8902502500855825,
        4.890270335506808,
        4.890290420928034,
        4.89031050634926,
        4.890330591770486,
        4.890350677191712,
        4.890370762612937,
        4.890390848034164,
        4.89041093345539,
        4.8904310188766145,
        4.890451104297841,
        4.890471189719067,
        4.890491275140294,
        4.8905113605615185,
        4.890531445982744,
        4.890551531403971,
        4.890571616825196,
        4.8905917022464225,
        4.890611787667647,
        4.890631873088874,
        4.8906519585101,
        4.890672043931326,
        4.890692129352551,
        4.890712214773778,
        4.890732300195003,
        4.890752385616229,
        4.8907724710374545,
        4.890792556458681,
        4.890812641879907,
        4.890832727301132,
        4.8908528127223585,
        4.890872898143584,
        4.890892983564809,
        4.890913068986036,
        4.890933154407261,
        4.890953239828488,
        4.890973325249713,
        4.890993410670939,
        4.891013496092165,
        4.891033581513391,
        4.891053666934617,
        4.891073752355842,
        4.891093837777068,
        4.8911139231982945,
        4.89113400861952,
        4.891154094040746,
        4.891174179461972,
        4.891194264883198,
        4.891214350304424,
        4.891234435725649,
        4.891254521146875,
        4.891274606568102,
        4.8912946919893265,
        4.891314777410553,
        4.891334862831778,
        4.891354948253006,
        4.8913750336742305,
        4.891395119095456,
        4.891415204516682,
        4.891435289937908,
        4.8914553753591345,
        4.891475460780359,
        4.891495546201585,
        4.891515631622812,
        4.891535717044038,
        4.891555802465263,
        4.8917365712562955,
        4.891756656677521,
        4.891776742098748,
        4.891796827519973,
        4.8918169129411995,
        4.891836998362425,
        4.891857083783651,
        4.891877169204877,
        4.891897254626103,
        4.891917340047329,
        4.891937425468554,
        4.89195751088978,
        4.891977596311006,
        4.891997681732232,
        4.892017767153458,
        4.892037852574684,
        4.89205793799591,
        4.892078023417136,
        4.892098108838361,
        4.892118194259587,
        4.892138279680814,
        4.892158365102039,
        4.892178450523265,
        4.89219853594449,
        4.892218621365718,
        4.892238706786943,
        4.892801098581266,
        4.893524173745397,
        4.893544259166624,
        4.8935643445878485,
        4.893584430009075,
        4.893604515430301,
        4.893624600851527,
        4.8936446862727525,
        4.893664771693978,
        4.893684857115204,
        4.89370494253643,
        4.8937250279576565,
        4.893745113378881,
        4.893765198800108,
        4.893785284221333,
        4.8938053696425605,
        4.893825455063785,
        4.89384554048501,
        4.893865625906237,
        4.893885711327463,
        4.893905796748689,
        4.893925882169914,
        4.89394596759114,
        4.893966053012367,
        4.893986138433592,
        4.894006223854818,
        4.894026309276043,
        4.89404639469727,
        4.894066480118496,
        4.894086565539721,
        4.894106650960947,
        4.894126736382174,
        4.894146821803399,
        4.8941669072246246,
        4.89418699264585,
        4.894207078067077,
        4.894227163488303,
        4.894247248909528,
        4.894267334330754,
        4.89428741975198,
        4.894307505173207,
        4.894327590594432,
        4.894347676015657,
        4.894367761436884,
        4.894387846858109,
        4.894407932279335,
        4.894428017700561,
        4.894448103121787,
        4.894468188543013,
        4.894488273964239,
        4.894508359385465,
        4.89452844480669,
        4.894548530227916,
        4.894568615649142,
        4.894588701070368,
        4.8946087864915935,
        4.89462887191282,
        4.894648957334045,
        4.894669042755272,
        4.8946891281764975,
        4.894709213597722,
        4.894729299018949,
        4.894749384440174,
        4.8947694698614015,
        4.894789555282626,
        4.894809640703852,
        4.894829726125078,
        4.894849811546304,
        4.89486989696753,
        4.894889982388755,
        4.894910067809981,
        4.894930153231208,
        4.8949502386524335,
        4.894970324073659,
        4.894990409494885,
        4.895010494916111,
        4.895030580337337,
        4.895050665758562,
        4.895070751179788,
        4.895090836601015,
        4.89511092202224,
        4.895131007443466,
        4.895151092864691,
        4.895171178285919,
        4.895191263707144,
        4.895211349128369,
        4.895231434549595,
        4.895331861655725,
        4.895351947076951,
        4.895372032498176,
        4.895392117919402,
        4.895412203340628,
        4.895432288761854,
        4.89545237418308,
        4.8954724596043055,
        4.895492545025532,
        4.895512630446757,
        4.895532715867983,
        4.8955528012892096,
        4.8955728867104344,
        4.895592972131661,
        4.895613057552886,
        4.895633142974114,
        4.8956532283953385,
        4.895673313816564,
        4.89569339923779,
        4.895713484659016,
        4.8957335700802425,
        4.895753655501467,
        4.895773740922693,
        4.89579382634392,
        4.895813911765146,
        4.8958339971863705,
        4.895854082607597,
        4.895874168028823,
        4.895894253450049,
        4.8959143388712745,
        4.895934424292499,
        4.895954509713727,
        4.895974595134952,
        4.8959946805561785,
        4.896014765977403,
        4.89603485139863,
        4.896054936819856,
        4.896075022241081,
        4.896095107662307,
        4.896115193083533,
        4.896135278504759,
        4.896155363925985,
        4.8961754493472105,
        4.896195534768437,
        4.896215620189662,
        4.896235705610888,
        4.896255791032114,
        4.89627587645334,
        4.896295961874566,
        4.896316047295792,
        4.896336132717017,
        4.896356218138244,
        4.896376303559469,
        4.896396388980695,
        4.896416474401921,
        4.8964365598231465,
        4.896456645244373,
        4.896476730665598,
        4.896496816086825,
        4.8965169015080505,
        4.896536986929276,
        4.896557072350502,
        4.896577157771727,
        4.896597243192954,
        4.896617328614179,
        4.896637414035405,
        4.896657499456631,
        4.896677584877858,
        4.8966976702990825,
        4.896717755720309,
        4.896737841141534,
        4.896757926562761,
        4.8967780119839865,
        4.896798097405211,
        4.896818182826438,
        4.896838268247664,
        4.8968583536688906,
        4.896878439090115,
        4.89689852451134,
        4.896918609932568,
        4.896938695353793,
        4.8969587807750194,
        4.896978866196245,
        4.896998951617471,
        4.897019037038697,
        4.897039122459923,
        4.897059207881149,
        4.897079293302374,
        4.8970993787236,
        4.897119464144826,
        4.897139549566052,
        4.897159634987278,
        4.897179720408504,
        4.897199805829729,
        4.897219891250956,
        4.897239976672181,
        4.897260062093406,
        4.897280147514633,
        4.897300232935859,
        4.897320318357085,
        4.89734040377831,
        4.897360489199537,
        4.897380574620763,
        4.897400660041988,
        4.897420745463214,
        4.897440830884439,
        4.897460916305666,
        4.8974810017268915,
        4.897501087148117,
        4.897521172569343,
        4.89754125799057,
        4.897561343411795,
        4.897581428833021,
        4.897601514254246,
        4.897621599675473,
        4.897641685096699,
        4.8976617705179235,
        4.89768185593915,
        4.897701941360376,
        4.897722026781603,
        4.8977421122028275,
        4.897762197624052,
        4.89778228304528,
        4.897802368466505,
        4.8978224538877315,
        4.897842539308956,
        4.897862624730183,
        4.897882710151409,
        4.897902795572635,
        4.89792288099386,
        4.897942966415086,
        4.897963051836312,
        4.897983137257538,
        4.8980032226787635,
        4.899057707293122,
        4.900313046119738,
        4.900333131540964,
        4.900353216962189,
        4.900373302383415,
        4.900393387804641,
        4.900413473225867,
        4.900433558647093,
        4.900453644068318,
        4.900473729489545,
        4.900493814910771,
        4.900513900331996,
        4.9005339857532215,
        4.900554071174448,
        4.900574156595674,
        4.9005942420169,
        4.900614327438125,
        4.900634412859352,
        4.900654498280577,
        4.900674583701804,
        4.900694669123029,
        4.900714754544254,
        4.900734839965481,
        4.900754925386706,
        4.900775010807933,
        4.900795096229158,
        4.900815181650384,
        4.90083526707161,
        4.900855352492835,
        4.9008754379140615,
        4.900895523335287,
        4.900915608756513,
        4.900935694177739,
        4.900955779598966,
        4.9009758650201904,
        4.900995950441417,
        4.901016035862642,
        4.901036121283869,
        4.9010562067050945,
        4.901076292126319,
        4.901096377547546,
        4.901116462968772,
        4.9011365483899985,
        4.901156633811223,
        4.901176719232449,
        4.901196804653676,
        4.901216890074901,
        4.901236975496127,
        4.901257060917352,
        4.901277146338579,
        4.901297231759805,
        4.9013173171810305,
        4.901337402602256,
        4.901357488023483,
        4.901377573444708,
        4.901397658865934,
        4.901417744287159,
        4.901437829708385,
        4.901457915129612,
        4.901478000550837,
        4.901498085972063,
        4.901518171393289,
        4.901538256814515,
        4.901558342235741,
        4.901578427656966,
        4.901598513078193,
        4.901618598499418,
        4.901638683920644,
        4.90165876934187,
        4.901678854763096,
        4.901698940184322,
        4.901719025605547,
        4.901739111026773,
        4.901759196447999,
        4.901779281869225,
        4.901799367290451,
        4.901819452711677,
        4.9018395381329025,
        4.901859623554129,
        4.901879708975354,
        4.901899794396581,
        4.9019198798178065,
        4.901939965239031,
        4.901960050660258,
        4.901980136081484,
        4.9020002215027105,
        4.902020306923935,
        4.902040392345161,
        4.902060477766388,
        4.902080563187613,
        4.9021006486088385,
        4.902120734030064,
        4.902140819451291,
        4.902160904872517,
        4.9021809902937425,
        4.902201075714968,
        4.902221161136194,
        4.90224124655742,
        4.902261331978646,
        4.902281417399871,
        4.902301502821097,
        4.902321588242324,
        4.902341673663549,
        4.9023617590847754,
        4.902381844506001,
        4.902401929927227,
        4.902422015348453,
        4.902442100769678,
        4.902462186190905,
        4.90248227161213,
        4.902502357033356,
        4.902522442454582,
        4.902542527875808,
        4.902562613297034,
        4.902582698718259,
        4.902602784139485,
        4.9026228695607115,
        4.902642954981937,
        4.902663040403163,
        4.902683125824389,
        4.902703211245615,
        4.902723296666841,
        4.902743382088066,
        4.902763467509292,
        4.902783552930519,
        4.9028036383517435,
        4.90282372377297,
        4.902843809194195,
        4.902863894615423,
        4.9028839800366475,
        4.902904065457872,
        4.902924150879099,
        4.902944236300325,
        4.902964321721551,
        4.902984407142776,
        4.903004492564002,
        4.903024577985229,
        4.903044663406455,
        4.9030647488276795,
        4.903084834248905,
        4.903104919670132,
        4.903125005091358,
        4.9031450905125835,
        4.903165175933808,
        4.903185261355036,
        4.903205346776261,
        4.9032254321974875,
        4.903245517618712,
        4.903265603039938,
        4.903285688461165,
        4.90330577388239,
        4.903325859303616,
        4.903345944724842,
        4.903366030146068,
        4.903386115567294,
        4.9034062009885195,
        4.903426286409746,
        4.903446371830971,
        4.903466457252197,
        4.903486542673423,
        4.903506628094649,
        4.903526713515875,
        4.903546798937101,
        4.903566884358327,
        4.903586969779553,
        4.903607055200778,
        4.903627140622003,
        4.903647226043231,
        4.903667311464456,
        4.903687396885682,
        4.903707482306907,
        4.903727567728134,
        4.90374765314936,
        4.9037677385705845,
        4.903787823991811,
        4.903807909413037,
        4.903827994834263,
        4.9038480802554885,
        4.903868165676714,
        4.903888251097941,
        4.903908336519167,
        4.903928421940392,
        4.903948507361617,
        4.903968592782844,
        4.90398867820407,
        4.904008763625296,
        4.9040288490465205,
        4.904048934467748,
        4.904069019888973,
        4.9040891053102,
        4.9041091907314245,
        4.90412927615265,
        4.904149361573877,
        4.904169446995102,
        4.9041895324163285,
        4.904209617837554,
        4.90422970325878,
        4.904249788680006,
        4.904269874101232,
        4.904289959522457,
        4.904310044943683,
        4.904330130364909,
        4.904350215786135,
        4.904370301207361,
        4.904390386628587,
        4.904410472049813,
        4.904430557471038,
        4.904450642892265,
        4.90447072831349,
        4.904490813734715,
        4.904510899155942,
        4.904530984577168,
        4.904551069998394,
        4.904571155419619,
        4.904591240840845,
        4.904611326262072,
        4.9046314116832965,
        4.904651497104523,
        4.904671582525748,
        4.904691667946975,
        4.9047117533682005,
        4.904731838789426,
        4.904751924210652,
        4.904772009631879,
        4.904792095053104,
        4.904812180474329,
        4.904832265895555,
        4.904852351316782,
        4.904872436738008,
        4.9048925221592325,
        4.904912607580459,
        4.904932693001685,
        4.904952778422911,
        4.9049728638441366,
        4.9049929492653614,
        4.905013034686589,
        4.905033120107814,
        4.905053205529041,
        4.9050732909502655,
        4.905093376371492,
        4.905113461792718,
        4.905133547213944,
        4.905153632635169,
        4.905173718056395,
        4.905193803477621,
        4.905213888898847,
        4.9052339743200735,
        4.905254059741299,
        4.905274145162525,
        4.90529423058375,
        4.905314316004977,
        4.905334401426202,
        4.905354486847427,
        4.905374572268654,
        4.90539465768988,
        4.905414743111106,
        4.905434828532331,
        4.905454913953557,
        4.905474999374784,
        4.905495084796009,
        4.905515170217235,
        4.90553525563846,
        4.905555341059687,
        4.905575426480913,
        4.905595511902138,
        4.905615597323364,
        4.905635682744591,
        4.905655768165816,
        4.9056758535870415,
        4.905695939008267,
        4.905716024429494,
        4.90573610985072,
        4.905756195271945,
        4.905776280693171,
        4.905796366114397,
        4.905816451535623,
        4.905836536956849,
        4.9058566223780735,
        4.905876707799301,
        4.905896793220526,
        4.905916878641752,
        4.9059369640629775,
        4.905957049484204,
        4.90597713490543,
        4.905997220326655,
        4.906017305747881,
        4.906037391169107,
        4.906057476590333,
        4.906077562011559,
        4.906097647432785,
        4.90611773285401,
        4.906137818275237,
        4.906157903696462,
        4.906177989117688,
        4.906198074538914,
        4.906218159960139,
        4.906238245381366,
        4.906258330802591,
        4.906278416223818,
        4.906298501645043,
        4.906318587066269,
        4.906338672487495,
        4.906358757908721,
        4.906378843329947,
        4.906398928751172,
        4.906419014172398,
        4.906439099593625,
        4.9064591850148505,
        4.906479270436075,
        4.906499355857302,
        4.906519441278528,
        4.906539526699754,
        4.906559612120979,
        4.906579697542204,
        4.906599782963432,
        4.906619868384657,
        4.906639953805883,
        4.906660039227108,
        4.906680124648334,
        4.906700210069561,
        4.906720295490786,
        4.906740380912012,
        4.906760466333238,
        4.906780551754464,
        4.90680063717569,
        4.906820722596916,
        4.906840808018142,
        4.906860893439367,
        4.906880978860593,
        4.906901064281819,
        4.906921149703045,
        4.906941235124271,
        4.906961320545497,
        4.9069814059667225,
        4.907001491387949,
        4.907021576809174,
        4.9070416622304,
        4.9070617476516265,
        4.907081833072851,
        4.907101918494078,
        4.907122003915303,
        4.90714208933653,
        4.907162174757755,
        4.907182260178981,
        4.907202345600207,
        4.907222431021433,
        4.907242516442659,
        4.907262601863884,
        4.90728268728511,
        4.907302772706337,
        4.9073228581275625,
        4.907342943548787,
        4.907363028970014,
        4.90738311439124,
        4.907403199812466,
        4.907423285233691,
        4.907443370654916,
        4.907463456076144,
        4.907483541497369,
        4.907503626918595,
        4.90752371233982,
        4.907543797761046,
        4.907563883182273,
        4.907583968603498,
        4.907604054024724,
        4.90762413944595,
        4.907644224867176,
        4.907664310288402,
        4.9076843957096274,
        4.907704481130854,
        4.907724566552079,
        4.907744651973305,
        4.907764737394531,
        4.907784822815757,
        4.907804908236982,
        4.907824993658209,
        4.907845079079434,
        4.907865164500661,
        4.907885249921886,
        4.907905335343112,
        4.907925420764338,
        4.9079455061855635,
        4.90796559160679,
        4.907985677028015,
        4.908005762449241,
        4.9080258478704675,
        4.908708752192146,
        4.908728837613373,
        4.908748923034598,
        4.908769008455823,
        4.90878909387705,
        4.9088091792982755,
        4.908829264719502,
        4.908849350140727,
        4.908869435561953,
        4.9088895209831795,
        4.908909606404404,
        4.908929691825631,
        4.908949777246856,
        4.908969862668083,
        4.908989948089308,
        4.909010033510534,
        4.90903011893176,
        4.909050204352987,
        4.909070289774212,
        4.909090375195437,
        4.909110460616663,
        4.909130546037889,
        4.909150631459116,
        4.9091707168803405,
        4.909190802301567,
        4.909210887722793,
        4.90923097314402,
        4.9092510585652445,
        4.909271143986469,
        4.909291229407697,
        4.909311314828922,
        4.909331400250148,
        4.909351485671373,
        4.9093715710926,
        4.909391656513826,
        4.909411741935052,
        4.9094318273562765,
        4.909451912777503,
        4.909471998198729,
        4.909492083619955,
        4.9095121690411805,
        4.909532254462406,
        4.909552339883633,
        4.909572425304858,
        4.9095925107260845,
        4.90961259614731,
        4.909632681568535,
        4.909652766989762,
        4.909672852410987,
        4.909692937832214,
        4.909713023253439,
        4.909733108674665,
        4.909753194095891,
        4.9097732795171165,
        4.909793364938343,
        4.909813450359568,
        4.909833535780794,
        4.9098536212020205,
        4.909873706623246,
        4.909893792044472,
        4.909913877465698,
        4.909933962886924,
        4.909954048308149,
        4.909974133729375,
        4.9099942191506,
        4.910014304571828,
        4.9100343899930525,
        4.910054475414279,
        4.910074560835504,
        4.910094646256732,
        4.9101147316779565,
        4.910134817099181,
        4.910154902520409,
        4.910174987941634,
        4.91019507336286,
        4.910215158784085,
        4.910235244205312,
        4.910255329626538,
        4.910275415047764,
        4.9102955004689885,
        4.910315585890215,
        4.910335671311441,
        4.910355756732667,
        4.910375842153893,
        4.910395927575118,
        4.910416012996345,
        4.91043609841757,
        4.910456183838797,
        4.910476269260022,
        4.910496354681247,
        4.910516440102474,
        4.910536525523699,
        4.910556610944926,
        4.910576696366151,
        4.910596781787377,
        4.910616867208603,
        4.910636952629829,
        4.910657038051055,
        4.91067712347228,
        4.910697208893506,
        4.910717294314733,
        4.910737379735958,
        4.910757465157184,
        4.91077755057841,
        4.910797635999636,
        4.9108177214208615,
        4.910837806842087,
        4.910857892263312,
        4.91087797768454,
        4.910898063105765,
        4.910918148526991,
        4.910938233948216,
        4.910958319369443,
        4.910978404790669,
        4.9109984902118935,
        4.91101857563312,
        4.911038661054346,
        4.911058746475572,
        4.9110788318967975,
        4.911098917318023,
        4.91111900273925,
        4.911139088160476,
        4.911159173581701,
        4.911179259002926,
        4.911199344424153,
        4.911219429845379,
        4.911239515266605,
        4.9112596006878295,
        4.911279686109057,
        4.911299771530282,
        4.911319856951507,
        4.9113399423727335,
        4.911360027793959,
        4.911380113215186,
        4.911400198636411,
        4.9114202840576375,
        4.911440369478863,
        4.911460454900089,
        4.911480540321315,
        4.91150062574254,
        4.911520711163766,
        4.911540796584992,
        4.911560882006218,
        4.911580967427444,
        4.91160105284867,
        4.911621138269895,
        4.911641223691122,
        4.911661309112347,
        4.9116813945335736,
        4.911701479954799,
        4.911721565376024,
        4.911741650797252,
        4.911761736218477,
        4.911781821639703,
        4.911801907060928,
        4.911821992482155,
        4.911842077903381,
        4.911862163324606,
        4.911882248745832,
        4.911902334167058,
        4.911922419588284,
        4.91194250500951,
        4.911962590430735,
        4.911982675851961,
        4.912002761273187,
        4.912022846694413,
        4.9120429321156385,
        4.912063017536865,
        4.912083102958091,
        4.912103188379317,
        4.912123273800542,
        4.912143359221769,
        4.912163444642994,
        4.912183530064219,
        4.912203615485446,
        4.912223700906671,
        4.912243786327898,
        4.912263871749123,
        4.912283957170349,
        4.912304042591575,
        4.912324128012801,
        4.912344213434027,
        4.912364298855252,
        4.9123843842764785,
        4.912404469697704,
        4.91242455511893,
        4.912444640540156,
        4.9124647259613825,
        4.912484811382607,
        4.912504896803834,
        4.912524982225059,
        4.912545067646286,
        4.912565153067511,
        4.912585238488736,
        4.912605323909963,
        4.912625409331189,
        4.912645494752415,
        4.91266558017364,
        4.912685665594865,
        4.912705751016093,
        4.912725836437318,
        4.912745921858544,
        4.912766007279769,
        4.912786092700996,
        4.912806178122222,
        4.912826263543447,
        4.912846348964672,
        4.912866434385899,
        4.912886519807125,
        4.9129066052283505,
        4.912926690649576,
        4.912946776070803,
        4.912966861492029,
        4.912986946913254,
        4.91300703233448,
        4.913027117755706,
        4.913047203176931,
        4.913067288598158,
        4.913087374019383,
        4.91310745944061,
        4.913127544861835,
        4.913147630283061,
        4.913167715704287,
        4.913187801125513,
        4.913207886546739,
        4.913227971967964,
        4.91324805738919,
        4.913268142810416,
        4.913288228231642,
        4.913308313652868,
        4.913328399074094,
        4.9133484844953195,
        4.913368569916546,
        4.913388655337771,
        4.913408740758998,
        4.9134288261802235,
        4.913448911601448,
        4.913468997022675,
        4.913489082443901,
        4.9135091678651275,
        4.913529253286352,
        4.913549338707577,
        4.913569424128805,
        4.91358950955003,
        4.9136095949712555,
        4.913629680392481,
        4.913649765813708,
        4.913669851234934,
        4.9136899366561595,
        4.913710022077384,
        4.913730107498611,
        4.913750192919837,
        4.913770278341063,
        4.913790363762288,
        4.913810449183514,
        4.913830534604741,
        4.913850620025966,
        4.913870705447192,
        4.913890790868418,
        4.913910876289643,
        4.91393096171087,
        4.913951047132095,
        4.913971132553322,
        4.913991217974547,
        4.914011303395773,
        4.914031388816999,
        4.914051474238225,
        4.914071559659451,
        4.914091645080676,
        4.914111730501902,
        4.914131815923128,
        4.914151901344354,
        4.914171986765579,
        4.914192072186806,
        4.9142121576080315,
        4.914232243029257,
        4.914252328450483,
        4.914272413871709,
        4.9142924992929355,
        4.91431258471416,
        4.914332670135387,
        4.914352755556612,
        4.914372840977839,
        4.914392926399064,
        4.914413011820289,
        4.914433097241516,
        4.914453182662742,
        4.914473268083968,
        4.914493353505193,
        4.914513438926419,
        4.914533524347646,
        4.914553609768872,
        4.9145736951900965,
        4.914593780611322,
        4.914613866032549,
        4.914633951453775,
        4.9146540368750005,
        4.914674122296225,
        4.914694207717453,
        4.914714293138678,
        4.9147343785599045,
        4.914754463981129,
        4.914774549402355,
        4.914794634823582,
        4.914814720244807,
        4.9148348056660325,
        4.914854891087259,
        4.914874976508485,
        4.914895061929711,
        4.914915147350936,
        4.914935232772163,
        4.914955318193388,
        4.914975403614614,
        4.91499548903584,
        4.915015574457066,
        4.915035659878291,
        4.915055745299518,
        4.915075830720744,
        4.915095916141969,
        4.915116001563195,
        4.91513608698442,
        4.915156172405648,
        4.9151762578268725,
        4.915196343248099,
        4.915216428669324,
        4.915236514090551,
        4.9152565995117765,
        4.915276684933001,
        4.915296770354228,
        4.915316855775454,
        4.91533694119668,
        4.915357026617905,
        4.915377112039131,
        4.915397197460358,
        4.915417282881584,
        4.9154373683028085,
        4.915457453724034,
        4.915477539145261,
        4.915497624566487,
        4.9155177099877125,
        4.915537795408937,
        4.915557880830165,
        4.91557796625139,
        4.9155980516726165,
        4.915618137093841,
        4.915638222515067,
        4.915658307936294,
        4.915678393357519,
        4.9156984787787446,
        4.915718564199971,
        4.915738649621197,
        4.915758735042423,
        4.915778820463648,
        4.915798905884874,
        4.9158189913061,
        4.915839076727326,
        4.915859162148552,
        4.915879247569778,
        4.915899332991003,
        4.91591941841223,
        4.915939503833455,
        4.9159595892546815,
        4.915979674675907,
        4.915999760097132,
        4.916019845518359,
        4.916039930939585,
        4.916060016360811,
        4.916080101782036,
        4.916100187203262,
        4.916120272624489,
        4.9161403580457135,
        4.91616044346694,
        4.916180528888165,
        4.916200614309392,
        4.9162206997306175,
        4.916240785151843,
        4.916260870573069,
        4.916280955994296,
        4.916301041415521,
        4.916321126836746,
        4.916341212257972,
        4.916361297679198,
        4.916381383100425,
        4.9164014685216495,
        4.916421553942876,
        4.916441639364102,
        4.916461724785327,
        4.9164818102065535,
        4.916501895627778,
        4.916521981049006,
        4.916542066470231,
        4.916562151891457,
        4.916582237312682,
        4.916602322733909,
        4.916843347788619,
        4.916863433209844,
        4.916883518631071,
        4.916903604052297,
        4.916923689473523,
        4.916943774894748,
        4.916963860315974,
        4.916983945737201,
        4.9170040311584255,
        4.917024116579651,
        4.917044202000877,
        4.917064287422104,
        4.9170843728433296,
        4.917104458264555,
        4.917124543685781,
        4.917144629107008,
        4.917164714528233,
        4.9171847999494585,
        4.917204885370684,
        4.91722497079191,
        4.917245056213137,
        4.917265141634362,
        4.917285227055588,
        4.917305312476814,
        4.917325397898039,
        4.917345483319266,
        4.9173655687404905,
        4.917385654161718,
        4.917405739582943,
        4.917425825004169,
        4.9174459104253945,
        4.917465995846621,
        4.917486081267847,
        4.917506166689072,
        4.917526252110298,
        4.917546337531524,
        4.91756642295275,
        4.917586508373976,
        4.917606593795202,
        4.917626679216427,
        4.917646764637654,
        4.917666850058879,
        4.917686935480104,
        4.917707020901331,
        4.917727106322556,
        4.917747191743783,
        4.917767277165008,
        4.917787362586235,
        4.91780744800746,
        4.917827533428686,
        4.917847618849912,
        4.917867704271138,
        4.917887789692363,
        4.917907875113589,
        4.917927960534815,
        4.917948045956042,
        4.917968131377267,
        4.917988216798492,
        4.918008302219718,
        4.918028387640945,
        4.9180484730621705,
        4.918068558483396,
        4.918088643904621,
        4.918108729325849,
        4.918128814747074,
        4.9181489001683,
        4.918168985589525,
        4.918189071010751,
        4.918209156431978,
        4.9182292418532025,
        4.918249327274429,
        4.918269412695655,
        4.918289498116881,
        4.9183095835381065,
        4.918329668959333,
        4.918349754380559,
        4.918369839801784,
        4.91838992522301,
        4.918410010644236,
        4.918430096065462,
        4.918450181486688,
        4.918470266907914,
        4.9184903523291394,
        4.918510437750366,
        4.918530523171591,
        4.918550608592816,
        4.9185706940140435,
        4.918590779435268,
        4.918610864856495,
        4.91863095027772,
        4.918651035698947,
        4.918671121120172,
        4.918691206541397,
        4.918711291962624,
        4.91873137738385,
        4.9187514628050755,
        4.918771548226301,
        4.918791633647527,
        4.918811719068754,
        4.9188318044899795,
        4.918851889911204,
        4.91887197533243,
        4.918892060753657,
        4.918912146174883,
        4.918932231596108,
        4.918952317017333,
        4.918972402438561,
        4.918992487859786,
        4.919012573281012,
        4.919032658702237,
        4.919052744123463,
        4.91907282954469,
        4.919092914965915,
        4.919113000387141,
        4.919133085808367,
        4.919153171229593,
        4.919173256650819,
        4.919193342072044,
        4.91921342749327,
        4.919233512914496,
        4.919253598335722,
        4.9192736837569475,
        4.919293769178174,
        4.919313854599399,
        4.919333940020626,
        4.919354025441851,
        4.919374110863078,
        4.919394196284303,
        4.919414281705528,
        4.919434367126755,
        4.91945445254798,
        4.919474537969207,
        4.919494623390432,
        4.919514708811658,
        4.919534794232884,
        4.919554879654109,
        4.919574965075336,
        4.919595050496561,
        4.9196151359177875,
        4.919635221339013,
        4.919655306760239,
        4.919675392181465,
        4.9196954776026915,
        4.919715563023916,
        4.919735648445142,
        4.919755733866368,
        4.919775819287595,
        4.9197959047088204,
        4.919815990130045,
        4.919836075551272,
        4.919856160972498,
        4.919876246393724,
        4.919896331814949,
        4.919916417236174,
        4.919936502657402,
        4.919956588078627,
        4.919976673499853,
        4.919996758921079,
        4.920016844342305,
        4.920036929763531,
        4.9200570151847565,
        4.920077100605982,
        4.920097186027208,
        4.920117271448434,
        4.92013735686966,
        4.920157442290886,
        4.920177527712111,
        4.920197613133338,
        4.920217698554563,
        4.920237783975789,
        4.920257869397015,
        4.92027795481824,
        4.920298040239467,
        4.9203181256606925,
        4.920338211081919,
        4.920358296503144,
        4.92037838192437,
        4.9203984673455965,
        4.920418552766821,
        4.920438638188048,
        4.920458723609273,
        4.9204788090305,
        4.920498894451725,
        4.920518979872951,
        4.920539065294176,
        4.920559150715404,
        4.9205792361366285,
        4.920599321557854,
        4.92061940697908,
        4.920639492400307,
        4.9206595778215325,
        4.920679663242757,
        4.920699748663984,
        4.92071983408521,
        4.920739919506436,
        4.920760004927661,
        4.920780090348886,
        4.920800175770114,
        4.920820261191339,
        4.9208403466125645,
        4.92086043203379,
        4.920880517455017,
        4.920900602876243,
        4.920920688297468,
        4.920940773718693,
        4.92096085913992,
        4.920980944561146,
        4.921001029982372,
        4.921021115403597,
        4.921041200824823,
        4.92106128624605,
        4.921081371667275,
        4.9211014570885006,
        4.921121542509727,
        4.921141627930952,
        4.921161713352179,
        4.921181798773404,
        4.921201884194631,
        4.921221969615856,
        4.921242055037082,
        4.921262140458308,
        4.9212822258795335,
        4.92130231130076,
        4.921322396721985,
        4.921342482143211,
        4.9213625675644375,
        4.921382652985663,
        4.921402738406888,
        4.921422823828115,
        4.921442909249341,
        4.921462994670566,
        4.921483080091792,
        4.921503165513017,
        4.921523250934245,
        4.9215433363554695,
        4.921563421776696,
        4.921583507197921,
        4.921603592619147,
        4.9216236780403735,
        4.921643763461598,
        4.921663848882826,
        4.921683934304051,
        4.921704019725277,
        4.921724105146502,
        4.921744190567729,
        4.921764275988955,
        4.92178436141018,
        4.9218044468314055,
        4.921824532252632,
        4.921844617673858,
        4.921864703095083,
        4.9218847885163095,
        4.921904873937535,
        4.921924959358762,
        4.921945044779987,
        4.921965130201213,
        4.921985215622439,
        4.922005301043664,
        4.922025386464891,
        4.922045471886116,
        4.922065557307342,
        4.922085642728568,
        4.922105728149794,
        4.92212581357102,
        4.9221458989922455,
        4.922165984413471,
        4.922186069834697,
        4.922206155255923,
        4.9222262406771495,
        4.922246326098375,
        4.9222664115196,
        4.922286496940827,
        4.922306582362053,
        4.922326667783278,
        4.922346753204504,
        4.922366838625729,
        4.922386924046957,
        4.9224070094681815,
        4.922427094889408,
        4.922447180310633,
        4.922467265731859,
        4.9224873511530856,
        4.9225074365743104,
        4.922527521995537,
        4.922547607416763,
        4.922567692837989,
        4.9225877782592145,
        4.92260786368044,
        4.922627949101667,
        4.922648034522892,
        4.922668119944118,
        4.922688205365343,
        4.92270829078657,
        4.922728376207795,
        4.922748461629022,
        4.9227685470502465,
        4.922788632471474,
        4.922808717892699,
        4.922828803313925,
        4.9228488887351505,
        4.922868974156376,
        4.922889059577603,
        4.922909144998828,
        4.922929230420054,
        4.92294931584128,
        4.922969401262506,
        4.922989486683732,
        4.923009572104957,
        4.923029657526183,
        4.923049742947409,
        4.923069828368635,
        4.923089913789861,
        4.923109999211087,
        4.923130084632312,
        4.923150170053539,
        4.923170255474764,
        4.9231903408959905,
        4.923210426317216,
        4.923230511738441,
        4.923250597159669,
        4.923270682580894,
        4.92329076800212,
        4.923310853423345,
        4.923330938844571,
        4.923351024265798,
        4.9233711096870225,
        4.923391195108248,
        4.923411280529475,
        4.923431365950701,
        4.9234514513719265,
        4.923471536793152,
        4.923491622214378,
        4.923511707635604,
        4.92353179305683,
        4.923551878478055,
        4.923571963899282,
        4.923592049320507,
        4.923612134741734,
        4.9236322201629585,
        4.923652305584186,
        4.923672391005411,
        4.923692476426636,
        4.9237125618478625,
        4.923732647269088,
        4.923752732690315,
        4.92377281811154,
        4.923792903532766,
        4.923812988953992,
        4.923833074375218,
        4.923853159796444,
        4.923873245217669,
        4.9238933306388954,
        4.923913416060121,
        4.923933501481347,
        4.923953586902573,
        4.9239736723237995,
        4.923993757745024,
        4.92401384316625,
        4.924033928587476,
        4.924054014008702,
        4.924074099429928,
        4.924094184851153,
        4.92411427027238,
        4.924134355693606,
        4.924154441114832,
        4.924174526536057,
        4.924194611957282,
        4.92421469737851,
        4.924234782799735,
        4.92425486822096,
        4.924274953642186,
        4.924295039063413,
        4.924315124484639,
        4.924335209905864,
        4.924355295327089,
        4.924375380748316,
        4.924395466169542,
        4.9244155515907675,
        4.924435637011993,
        4.924455722433219,
        4.924475807854446,
        4.924495893275671,
        4.924515978696897,
        4.924536064118123,
        4.924556149539348,
        4.924576234960575,
        4.9245963203817995,
        4.924616405803027,
        4.924636491224252,
        4.924656576645478,
        4.9246766620667035,
        4.924696747487929,
        4.924716832909155,
        4.924736918330381,
        4.924757003751607,
        4.924777089172833,
        4.924797174594059,
        4.924817260015285,
        4.924837345436511,
        4.924857430857736,
        4.924877516278962,
        4.924897601700188,
        4.924917687121414,
        4.92493777254264,
        4.924957857963865,
        4.924977943385092,
        4.924998028806318,
        4.9250181142275435,
        4.925038199648769,
        4.925058285069994,
        4.925078370491222,
        4.925098455912447,
        4.925118541333672,
        4.925138626754898,
        4.925158712176125,
        4.925178797597351,
        4.9251988830185764,
        4.925218968439801,
        4.925239053861028,
        4.925259139282254,
        4.92527922470348,
        4.925299310124705,
        4.925319395545931,
        4.925339480967158,
        4.925359566388383,
        4.925379651809609,
        4.925399737230835,
        4.92541982265206,
        4.925439908073287,
        4.925459993494512,
        4.925480078915739,
        4.925500164336964,
        4.92552024975819,
        4.925540335179416,
        4.925560420600641,
        4.925580506021867,
        4.925600591443093,
        4.925620676864319,
        4.925640762285545,
        4.925660847706771,
        4.925680933127997,
        4.925701018549223,
        4.9257211039704485,
        4.925741189391674,
        4.9257612748129,
        4.925781360234125,
        4.9258014456553525,
        4.925821531076577,
        4.925841616497804,
        4.925861701919029,
        4.925881787340256,
        4.925901872761481,
        4.925921958182706,
        4.925942043603933,
        4.925962129025159,
        4.9259822144463845,
        4.92600229986761,
        4.926022385288836,
        4.926042470710063,
        4.9260625561312885,
        4.926082641552513,
        4.926102726973739,
        4.926122812394966,
        4.926142897816192,
        4.926162983237417,
        4.926183068658642,
        4.92620315407987,
        4.926223239501095,
        4.92624332492232,
        4.926263410343546,
        4.926283495764772,
        4.926303581185999,
        4.926323666607224,
        4.926343752028449,
        4.926363837449676,
        4.926383922870902,
        4.926404008292128,
        4.9264240937133525,
        4.926444179134579,
        4.926464264555805,
        4.926484349977031,
        4.9265044353982566,
        4.926524520819483,
        4.926544606240708,
        4.926564691661935,
        4.926584777083161,
        4.926604862504386,
        4.926624947925612,
        4.926645033346837,
        4.926665118768065,
        4.9266852041892895,
        4.926705289610516,
        4.926725375031741,
        4.926745460452968,
        4.9267655458741935,
        4.926785631295418,
        4.926805716716645,
        4.926825802137871,
        4.926845887559097,
        4.926865972980322,
        4.926886058401548,
        4.926906143822774,
        4.926926229244,
        4.9269463146652255,
        4.926966400086451,
        4.926986485507678,
        4.927006570928904,
        4.9270266563501295,
        4.927046741771354,
        4.927066827192582,
        4.927086912613807,
        4.927106998035032,
        4.927127083456258,
        4.927147168877484,
        4.927167254298711,
        4.927187339719936,
        4.9272074251411615,
        4.927227510562388,
        4.927247595983614,
        4.92726768140484,
        4.927287766826065,
        4.927307852247291,
        4.927327937668517,
        4.927348023089743,
        4.927368108510969,
        4.927388193932195,
        4.92740827935342,
        4.927428364774647,
        4.927448450195872,
        4.927468535617098,
        4.927488621038324,
        4.927508706459549,
        4.927528791880776,
        4.9275488773020015,
        4.927568962723227,
        4.927589048144453,
        4.927609133565678,
        4.9276292189869055,
        4.92764930440813,
        4.927669389829357,
        4.927689475250582,
        4.927709560671809,
        4.927729646093034,
        4.92774973151426,
        4.927769816935485,
        4.927789902356712,
        4.9278099877779376,
        4.927830073199163,
        4.927850158620389,
        4.927870244041615,
        4.927890329462842,
        4.9279104148840664,
        4.927930500305293,
        4.927950585726519,
        4.927970671147744,
        4.9279907565689705,
        4.928010841990195,
        4.928030927411423,
        4.928051012832648,
        4.928071098253874,
        4.928091183675099,
        4.928111269096326,
        4.928131354517552,
        4.928151439938777,
        4.928171525360003,
        4.928191610781229,
        4.928211696202455,
        4.928231781623681,
        4.928251867044907,
        4.928271952466132,
        4.928292037887359,
        4.928312123308584,
        4.9283322087298105,
        4.928352294151036,
        4.928372379572261,
        4.928392464993488,
        4.928412550414714,
        4.928432635835939,
        4.928452721257165,
        4.92847280667839,
        4.928492892099618,
        4.9285129775208425,
        4.928533062942068,
        4.928553148363294,
        4.928573233784521,
        4.9285933192057465,
        4.928613404626972,
        4.928633490048197,
        4.928653575469424,
        4.92867366089065,
        4.928693746311875,
        4.928713831733101,
        4.928733917154327,
        4.928754002575554,
        4.9287740879967785,
        4.928794173418005,
        4.928814258839231,
        4.928834344260456,
        4.9288544296816825,
        4.928874515102907,
        4.928894600524135,
        4.92891468594536,
        4.928934771366586,
        4.928954856787811,
        4.928974942209038,
        4.928995027630264,
        4.929015113051489,
        4.9290351984727145,
        4.929055283893941,
        4.929075369315167,
        4.929095454736392,
        4.9291155401576185,
        4.929135625578844,
        4.929155711000071,
        4.929175796421296,
        4.929195881842521,
        4.929215967263748,
        4.929236052684973,
        4.9292561381062,
        4.929276223527425,
        4.9292963089486515,
        4.929316394369877,
        4.929336479791102,
        4.929356565212329,
        4.929376650633555,
        4.92939673605478,
        4.929416821476006,
        4.929436906897232,
        4.929456992318459,
        4.929477077739684,
        4.929497163160909,
        4.929517248582135,
        4.929537334003362,
        4.9295574194245875,
        4.929577504845813,
        4.929597590267038,
        4.929617675688266,
        4.929637761109491,
        4.929657846530717,
        4.929677931951942,
        4.929698017373168,
        4.929718102794395,
        4.9297381882156195,
        4.929758273636845,
        4.929778359058072,
        4.929798444479298,
        4.9298185299005235,
        4.92983861532175,
        4.929858700742976,
        4.929878786164201,
        4.929898871585427,
        4.929918957006653,
        4.929939042427879,
        4.929959127849104,
        4.929979213270331,
        4.929999298691556,
        4.930019384112782,
        4.930039469534008,
        4.930059554955233,
        4.93007964037646,
        4.930099725797685,
        4.930119811218912,
        4.930139896640137,
        4.9301599820613635,
        4.930180067482589,
        4.930200152903814,
        4.930220238325041,
        4.930240323746267,
        4.930260409167492,
        4.930280494588718,
        4.930300580009944,
        4.930320665431171,
        4.930340750852396,
        4.930360836273621,
        4.930380921694847,
        4.930401007116074,
        4.930421092537299,
        4.930441177958525,
        4.93046126337975,
        4.930481348800978,
        4.930501434222203,
        4.930521519643429,
        4.930541605064654,
        4.93056169048588,
        4.930581775907107,
        4.930601861328332,
        4.930621946749557,
        4.930642032170784,
        4.93066211759201,
        4.930682203013236,
        4.9307022884344605,
        4.930722373855687,
        4.930742459276913,
        4.930762544698139,
        4.9307826301193645,
        4.930802715540591,
        4.930822800961816,
        4.930842886383043,
        4.930862971804268,
        4.930883057225494,
        4.93090314264672,
        4.930923228067945,
        4.930943313489172,
        4.930963398910397,
        4.930983484331624,
        4.931003569752849,
        4.931023655174075,
        4.931043740595301,
        4.931063826016526,
        4.931083911437753,
        4.931103996858978,
        4.9311240822802045,
        4.93114416770143,
        4.931164253122656,
        4.931184338543882,
        4.9312044239651085,
        4.931224509386333,
        4.931244594807559,
        4.931264680228785,
        4.931284765650011,
        4.931304851071237,
        4.931324936492462,
        4.931345021913689,
        4.931365107334915,
        4.93138519275614,
        4.931405278177366,
        4.931425363598591,
        4.931445449019819,
        4.931465534441044,
        4.931485619862269,
        4.931505705283496,
        4.931525790704722,
        4.931545876125948,
        4.9315659615471725,
        4.931586046968399,
        4.931606132389625,
        4.931626217810851,
        4.9316463032320765,
        4.931666388653303,
        4.931686474074528,
        4.931706559495755,
        4.93172664491698,
        4.931746730338205,
        4.931766815759432,
        4.931786901180657,
        4.931806986601884,
        4.931827072023109,
        4.931847157444336,
        4.931867242865561,
        4.931887328286787,
        4.931907413708013,
        4.931927499129238,
        4.931947584550464,
        4.93196766997169,
        4.931987755392917,
        4.932007840814142,
        4.932027926235368,
        4.932048011656593,
        4.932068097077821,
        4.9320881824990455,
        4.932108267920271,
        4.932128353341497,
        4.932148438762723,
        4.9321685241839495,
        4.932188609605174,
        4.932208695026401,
        4.932228780447627,
        4.932248865868852,
        4.932268951290078,
        4.932289036711303,
        4.932309122132531,
        4.932329207553756,
        4.9323492929749815,
        4.932369378396207,
        4.932389463817434,
        4.93240954923866,
        4.932429634659885,
        4.93244972008111,
        4.932469805502337,
        4.932489890923563,
        4.932509976344789,
        4.932530061766014,
        4.93255014718724,
        4.932570232608467,
        4.932590318029692,
        4.932610403450917,
        4.932630488872144,
        4.932650574293369,
        4.932670659714596,
        4.932690745135821,
        4.932710830557048,
        4.932730915978273,
        4.932751001399499,
        4.932771086820725,
        4.93279117224195,
        4.932811257663176,
        4.932831343084402,
        4.932851428505628,
        4.932871513926854,
        4.93289159934808,
        4.932911684769305,
        4.932931770190531,
        4.9329518556117575,
        4.932971941032983,
        4.932992026454209,
        4.933012111875434,
        4.9330321972966615,
        4.933052282717886,
        4.933072368139113,
        4.933092453560338,
        4.933112538981564,
        4.93313262440279,
        4.933152709824015,
        4.933172795245243,
        4.933192880666468,
        4.9332129660876936,
        4.933233051508919,
        4.933253136930146,
        4.933273222351371,
        4.933293307772597,
        4.9333133931938224,
        4.933333478615049,
        4.933353564036275,
        4.933373649457501,
        4.9333937348787265,
        4.933413820299952,
        4.933433905721179,
        4.933453991142404,
        4.933474076563629,
        4.9342574079914385,
        4.935281764473957,
        4.935301849895183,
        4.935321935316409,
        4.935342020737634,
        4.935362106158861,
        4.935382191580086,
        4.935402277001312,
        4.935422362422538,
        4.935442447843764,
        4.935462533264989,
        4.935482618686216,
        4.935502704107441,
        4.935522789528667,
        4.935542874949893,
        4.9355629603711195,
        4.935583045792345,
        4.93560313121357,
        4.935623216634797,
        4.935643302056023,
        4.935663387477248,
        4.935683472898474,
        4.935703558319699,
        4.935723643740927,
        4.9357437291621515,
        4.935763814583377,
        4.935783900004603,
        4.93580398542583,
        4.9358240708470555,
        4.935844156268281,
        4.935864241689506,
        4.935884327110733,
        4.935904412531959,
        4.935924497953184,
        4.93594458337441,
        4.935964668795636,
        4.935984754216863,
        4.936004839638088,
        4.936024925059313,
        4.93604501048054,
        4.936065095901765,
        4.936085181322992,
        4.9361052667442165,
        4.936125352165443,
        4.936145437586669,
        4.936165523007895,
        4.9361856084291205,
        4.936205693850346,
        4.936225779271572,
        4.936245864692798,
        4.936265950114024,
        4.93628603553525,
        4.936306120956476,
        4.936326206377701,
        4.936346291798928,
        4.936366377220153,
        4.936386462641379,
        4.936406548062605,
        4.936426633483831,
        4.936446718905057,
        4.936466804326282,
        4.936486889747509,
        4.936506975168735,
        4.9365270605899605,
        4.936547146011186,
        4.936567231432411,
        4.936587316853639,
        4.936607402274864,
        4.936627487696089,
        4.936647573117315,
        4.936667658538542,
        4.936687743959768,
        4.9367078293809925,
        4.936727914802218,
        4.936748000223445,
        4.936768085644671,
        4.936788171065896,
        4.936808256487122,
        4.936828341908348,
        4.936848427329575,
        4.9368685127508,
        4.936888598172025,
        4.936908683593252,
        4.936928769014477,
        4.936948854435704,
        4.9369689398569285,
        4.936989025278155,
        4.937009110699381,
        4.937029196120607,
        4.9370492815418325,
        4.937069366963058,
        4.937089452384284,
        4.93710953780551,
        4.937129623226736,
        4.937149708647962,
        4.937169794069188,
        4.937189879490413,
        4.93720996491164,
        4.937230050332865,
        4.937250135754091,
        4.937270221175317,
        4.937290306596542,
        4.9373103920177694,
        4.937330477438994,
        4.937350562860221,
        4.937370648281446,
        4.937390733702672,
        4.937410819123898,
        4.937430904545123,
        4.937450989966349,
        4.937471075387576,
        4.9374911608088015,
        4.937511246230027,
        4.937531331651253,
        4.93755141707248,
        4.937571502493705,
        4.93759158791493,
        4.937611673336156,
        4.937631758757383,
        4.937651844178608,
        4.937671929599834,
        4.937692015021059,
        4.937712100442287,
        4.937732185863512,
        4.937752271284737,
        4.937772356705963,
        4.937792442127189,
        4.937812527548416,
        4.937832612969641,
        4.937852698390866,
        4.937872783812093,
        4.937892869233319,
        4.937912954654545,
        4.9379330400757695,
        4.937953125496996,
        4.937973210918222,
        4.937993296339448,
        4.9380133817606735,
        4.9380334671819,
        4.938053552603125,
        4.938073638024352,
        4.9380937234455775,
        4.938113808866803,
        4.938133894288029,
        4.938153979709254,
        4.9381740651304815,
        4.938194150551706,
        4.938214235972933,
        4.938234321394158,
        4.938254406815384,
        4.93827449223661,
        4.938294577657835,
        4.938314663079061,
        4.938334748500288,
        4.9383548339215135,
        4.938374919342739,
        4.938395004763965,
        4.938415090185191,
        4.938435175606417,
        4.938455261027642,
        4.938475346448868,
        4.938495431870095,
        4.93851551729132,
        4.938535602712546,
        4.938555688133771,
        4.938575773554999,
        4.938595858976224,
        4.938615944397449,
        4.938636029818675,
        4.938656115239901,
        4.938676200661128,
        4.938696286082353,
        4.9387163715035785,
        4.938736456924805,
        4.938756542346031,
        4.938776627767257,
        4.938796713188482,
        4.938816798609708,
        4.938836884030934,
        4.93885696945216,
        4.938877054873386,
        4.938897140294612,
        4.938917225715837,
        4.938937311137063,
        4.938957396558289,
        4.9389774819795145,
        4.938997567400741,
        4.939017652821966,
        4.939037738243193,
        4.9390578236644185,
        4.939077909085644,
        4.93909799450687,
        4.939118079928095,
        4.9391381653493225,
        4.939158250770547,
        4.939178336191773,
        4.939198421612999,
        4.939218507034226,
        4.939238592455451,
        4.939258677876677,
        4.939278763297902,
        4.939298848719129,
        4.9393189341403545,
        4.93933901956158,
        4.939359104982806,
        4.939379190404032,
        4.9393992758252585,
        4.939419361246483,
        4.93943944666771,
        4.939459532088936,
        4.939479617510161,
        4.939499702931387,
        4.939519788352612,
        4.93953987377384,
        4.939559959195065,
        4.9395800446162905,
        4.939600130037516,
        4.939620215458742,
        4.939640300879968,
        4.939660386301194,
        4.93968047172242,
        4.939700557143646,
        4.939720642564872,
        4.939740727986098,
        4.939760813407324,
        4.939780898828549,
        4.939800984249775,
        4.939821069671001,
        4.9398411550922265,
        4.939861240513453,
        4.939881325934678,
        4.939901411355905,
        4.9399214967771305,
        4.939941582198356,
        4.939961667619582,
        4.939981753040807,
        4.9400018384620346,
        4.9400219238832594,
        4.940042009304485,
        4.940062094725711,
        4.940082180146938,
        4.9401022655681635,
        4.940122350989389,
        4.940142436410614,
        4.940162521831841,
        4.940182607253067,
        4.940202692674292,
        4.940222778095518,
        4.940242863516744,
        4.940262948937971,
        4.9402830343591955,
        4.94030311978042,
        4.940323205201648,
        4.940343290622873,
        4.9403633760440995,
        4.940383461465324,
        4.940403546886552,
        4.940423632307777,
        4.940443717729003,
        4.940463803150228,
        4.940483888571454,
        4.94050397399268,
        4.940524059413906,
        4.9405441448351315,
        4.940564230256358,
        4.940584315677584,
        4.940604401098809,
        4.9406244865200355,
        4.940644571941261,
        4.940664657362487,
        4.940684742783713,
        4.940704828204938,
        4.940724913626165,
        4.94074499904739,
        4.940765084468617,
        4.940785169889842,
        4.940805255311068,
        4.940825340732294,
        4.940845426153519,
        4.940865511574746,
        4.9408855969959715,
        4.940905682417197,
        4.940925767838423,
        4.940945853259649,
        4.9409659386808755,
        4.940986024102101,
        4.941006109523326,
        4.941026194944552,
        4.941046280365779,
        4.941066365787004,
        4.94108645120823,
        4.941106536629455,
        4.941126622050683,
        4.9411467074719075,
        4.941166792893132,
        4.941186878314359,
        4.941206963735585,
        4.9412270491568115,
        4.941247134578036,
        4.941267219999262,
        4.941287305420489,
        4.941307390841715,
        4.94132747626294,
        4.941347561684166,
        4.941367647105392,
        4.941387732526618,
        4.941407817947844,
        4.94142790336907,
        4.941447988790296,
        4.941468074211521,
        4.941488159632748,
        4.941508245053973,
        4.941528330475199,
        4.941548415896425,
        4.94156850131765,
        4.941588586738877,
        4.941608672160102,
        4.941628757581329,
        4.941648843002554,
        4.9416689284237805,
        4.941689013845006,
        4.941709099266231,
        4.941729184687458,
        4.941749270108684,
        4.941769355529909,
        4.941789440951135,
        4.941809526372361,
        4.941829611793587,
        4.941849697214813,
        4.941869782636038,
        4.941889868057264,
        4.941909953478491,
        4.941930038899716,
        4.941950124320942,
        4.941970209742167,
        4.941990295163395,
        4.94201038058462,
        4.9420304660058445,
        4.942050551427071,
        4.942070636848297,
        4.942090722269524,
        4.9421108076907485,
        4.942130893111974,
        4.942150978533201,
        4.942171063954427,
        4.9421911493756525,
        4.942211234796877,
        4.942231320218104,
        4.94225140563933,
        4.942271491060556,
        4.9422915764817805,
        4.942311661903008,
        4.942331747324233,
        4.94235183274546,
        4.9423719181666845,
        4.942392003587911,
        4.942412089009137,
        4.942432174430362,
        4.9424522598515885,
        4.942472345272814,
        4.94249243069404,
        4.942512516115266,
        4.942532601536492,
        4.942552686957718,
        4.942572772378943,
        4.94259285780017,
        4.942612943221395,
        4.942633028642621,
        4.942653114063847,
        4.942673199485073,
        4.942693284906298,
        4.942713370327525,
        4.94273345574875,
        4.942753541169976,
        4.942773626591202,
        4.942793712012428,
        4.942813797433654,
        4.942833882854879,
        4.942853968276106,
        4.942874053697332,
        4.942894139118557,
        4.942914224539783,
        4.942934309961008,
        4.942954395382236,
        4.943346061096139,
        4.944018922707205,
        4.944039008128431,
        4.944059093549657,
        4.944079178970884,
        4.944099264392109,
        4.944119349813334,
        4.944139435234561,
        4.944159520655786,
        4.944179606077013,
        4.944199691498238,
        4.944219776919464,
        4.94423986234069,
        4.944259947761915,
        4.944280033183142,
        4.944300118604367,
        4.944320204025593,
        4.944340289446819,
        4.944360374868045,
        4.944380460289271,
        4.944400545710497,
        4.944420631131722,
        4.944440716552948,
        4.9444608019741745,
        4.944480887395399,
        4.944500972816626,
        4.944521058237851,
        4.9445411436590785,
        4.944561229080303,
        4.94458131450153,
        4.944601399922756,
        4.944621485343981,
        4.944641570765207,
        4.944661656186432,
        4.944681741607659,
        4.944701827028885,
        4.9447219124501105,
        4.944741997871336,
        4.944762083292563,
        4.944782168713788,
        4.944802254135014,
        4.944822339556239,
        4.944842424977466,
        4.944862510398692,
        4.944882595819917,
        4.944902681241143,
        4.944922766662369,
        4.944942852083595,
        4.944962937504821,
        4.944983022926046,
        4.945003108347273,
        4.945023193768498,
        4.945043279189725,
        4.94506336461095,
        4.945083450032176,
        4.945103535453402,
        4.945123620874627,
        4.945143706295853,
        4.945163791717079,
        4.945183877138305,
        4.945203962559531,
        4.945224047980757,
        4.945244133401983,
        4.945264218823209,
        4.945284304244434,
        4.94530438966566,
        4.9453244750868866,
        4.945344560508111,
        4.945364645929338,
        4.945384731350563,
        4.945404816771791,
        4.9454249021930154,
        4.945444987614242,
        4.945465073035467,
        4.945485158456693,
        4.9455052438779195,
        4.945525329299144,
        4.94554541472037,
        4.945565500141597,
        4.945585585562823,
        4.945605670984048,
        4.945625756405273,
        4.9456458418265,
        4.945665927247726,
        4.9456860126689515,
        4.945706098090177,
        4.945726183511404,
        4.945746268932629,
        4.9457663543538555,
        4.94578643977508,
        4.945806525196307,
        4.945826610617533,
        4.945846696038758,
        4.945866781459984,
        4.94588686688121,
        4.945906952302437,
        4.945927037723662,
        4.9459471231448875,
        4.945967208566114,
        4.945987293987339,
        4.946007379408565,
        4.946027464829791,
        4.946047550251017,
        4.946067635672243,
        4.946087721093469,
        4.946107806514695,
        4.946127891935921,
        4.946147977357146,
        4.946168062778372,
        4.946188148199598,
        4.9462082336208235,
        4.94622831904205,
        4.946248404463275,
        4.946268489884503,
        4.9462885753057275,
        4.946308660726952,
        4.946328746148179,
        4.946348831569405,
        4.9463689169906315,
        4.946389002411856,
        4.946409087833082,
        4.946429173254309,
        4.946449258675535,
        4.94646934409676,
        4.946489429517985,
        4.946509514939212,
        4.946529600360438,
        4.9465496857816635,
        4.946569771202889,
        4.946589856624116,
        4.946609942045341,
        4.9466300274665675,
        4.946650112887792,
        4.946670198309018,
        4.946690283730245,
        4.94671036915147,
        4.9467304545726964,
        4.946750539993922,
        4.946770625415148,
        4.946790710836374,
        4.9468107962576,
        4.946830881678826,
        4.946850967100051,
        4.946871052521277,
        4.946891137942503,
        4.946911223363729,
        4.946931308784955,
        4.946951394206181,
        4.946971479627406,
        4.946991565048633,
        4.947011650469858,
        4.947031735891084,
        4.94705182131231,
        4.947071906733536,
        4.947091992154762,
        4.947112077575987,
        4.947132162997214,
        4.94715224841844,
        4.9471723338396645,
        4.947192419260891,
        4.947212504682116,
        4.947232590103344,
        4.9472526755245685,
        4.947272760945794,
        4.94729284636702,
        4.947312931788247,
        4.947333017209472,
        4.947353102630697,
        4.947373188051923,
        4.94739327347315,
        4.947413358894376,
        4.947433444315601,
        4.947453529736827,
        4.947473615158053,
        4.94749370057928,
        4.9475137860005045,
        4.947533871421729,
        4.947553956842957,
        4.947574042264182,
        4.9475941276854085,
        4.947614213106633,
        4.94763429852786,
        4.947654383949086,
        4.947674469370312,
        4.947694554791537,
        4.947714640212763,
        4.947734725633989,
        4.947754811055215,
        4.9477748964764405,
        4.947794981897667,
        4.947815067318893,
        4.947835152740118,
        4.9478552381613445,
        4.94787532358257,
        4.947895409003796,
        4.947915494425022,
        4.947935579846248,
        4.947955665267474,
        4.947975750688699,
        4.947995836109926,
        4.948015921531152,
        4.9480360069523766,
        4.948056092373603,
        4.948076177794828,
        4.948096263216056,
        4.948116348637281,
        4.948136434058506,
        4.948156519479732,
        4.948176604900959,
        4.948196690322184,
        4.9482167757434095,
        4.948236861164635,
        4.948256946585862,
        4.948277032007088,
        4.9482971174283135,
        4.948317202849539,
        4.948337288270765,
        4.948357373691992,
        4.948377459113217,
        4.9483975445344415,
        4.948417629955669,
        4.948437715376894,
        4.948457800798121,
        4.9484778862193455,
        4.948497971640572,
        4.948518057061798,
        4.948538142483024,
        4.9485582279042495,
        4.948578313325475,
        4.948598398746701,
        4.948618484167927,
        4.948638569589153,
        4.948658655010379,
        4.948678740431605,
        4.94869882585283,
        4.948718911274056,
        4.948738996695282,
        4.948759082116508,
        4.948779167537734,
        4.948799252958959,
        4.948819338380186,
        4.948839423801411,
        4.948859509222637,
        4.948879594643863,
        4.948899680065089,
        4.948919765486315,
        4.94893985090754,
        4.948959936328766,
        4.948980021749993,
        4.949000107171218,
        4.949020192592444,
        4.94904027801367,
        4.949060363434896,
        4.9490804488561215,
        4.949100534277347,
        4.949120619698573,
        4.9491407051198,
        4.949160790541025,
        4.949180875962251,
        4.949200961383476,
        4.949221046804704,
        4.949241132225929,
        4.9492612176471535,
        4.94928130306838,
        4.949301388489606,
        4.949321473910833,
        4.9493415593320575,
        4.949361644753283,
        4.94938173017451,
        4.949401815595735,
        4.9494219010169616,
        4.9494419864381864,
        4.949462071859413,
        4.949482157280639,
        4.949502242701865,
        4.94952232812309,
        4.949542413544317,
        4.949562498965542,
        4.949582584386768,
        4.9496026698079945,
        4.949622755229219,
        4.949642840650446,
        4.949662926071671,
        4.9496830114928985,
        4.949703096914123,
        4.949723182335349,
        4.949743267756575,
        4.949763353177801,
        4.949783438599027,
        4.949803524020252,
        4.949823609441478,
        4.949843694862705,
        4.9498637802839305,
        4.949883865705156,
        4.949903951126382,
        4.949924036547608,
        4.949944121968834,
        4.949964207390059,
        4.949984292811285,
        4.950004378232512,
        4.950024463653737,
        4.950044549074963,
        4.950064634496188,
        4.950084719917416,
        4.950104805338641,
        4.950124890759866,
        4.950144976181092,
        4.950165061602318,
        4.950185147023544,
        4.95020523244477,
        4.950225317865995,
        4.950245403287222,
        4.950265488708447,
        4.950285574129674,
        4.9503056595508985,
        4.950325744972125,
        4.950345830393351,
        4.950365915814577,
        4.950386001235802,
        4.950406086657029,
        4.950426172078254,
        4.95044625749948,
        4.950466342920706,
        4.950486428341931,
        4.950506513763158,
        4.950526599184383,
        4.95054668460561,
        4.950566770026835,
        4.950586855448061,
        4.950606940869287,
        4.950627026290512,
        4.950647111711739,
        4.950667197132964,
        4.95068728255419,
        4.950707367975416,
        4.9507274533966426,
        4.950747538817868,
        4.950767624239094,
        4.950787709660319,
        4.950807795081546,
        4.9508278805027714,
        4.950847965923997,
        4.950868051345223,
        4.950888136766449,
        4.9509082221876755,
        4.9509283076089,
        4.950948393030126,
        4.950968478451353,
        4.950988563872578,
        4.951008649293804,
        4.951028734715029,
        4.951048820136256,
        4.951068905557482,
        4.9510889909787075,
        4.951109076399933,
        4.951129161821159,
        4.951149247242385,
        4.951169332663611,
        4.951189418084837,
        4.951209503506063,
        4.951229588927289,
        4.951249674348514,
        4.951269759769741,
        4.951289845190966,
        4.951309930612192,
        4.951330016033418,
        4.9513501014546435,
        4.95137018687587,
        4.951390272297095,
        4.951410357718322,
        4.9514304431395475,
        4.951450528560773,
        4.951470613981999,
        4.951490699403224,
        4.9515107848244515,
        4.951530870245676,
        4.951550955666902,
        4.951571041088128,
        4.951591126509355,
        4.95161121193058,
        4.951631297351805,
        4.951651382773031,
        4.951671468194258,
        4.9516915536154835,
        4.951711639036708,
        4.951731724457935,
        4.951751809879161,
        4.9517718953003875,
        4.951791980721612,
        4.951812066142837,
        4.951832151564065,
        4.95185223698529,
        4.951872322406516,
        4.951892407827741,
        4.951912493248968,
        4.951932578670194,
        4.9519526640914195,
        4.951972749512645,
        4.951992834933871,
        4.952012920355097,
        4.952033005776323,
        4.952053091197548,
        4.952073176618775,
        4.952093262040001,
        4.952113347461226,
        4.9521334328824524,
        4.952153518303678,
        4.952173603724903,
        4.95219368914613,
        4.952213774567355,
        4.952233859988582,
        4.952253945409807,
        4.952274030831034,
        4.952294116252259,
        4.9523142016734845,
        4.952334287094711,
        4.952354372515936,
        4.952374457937162,
        4.9523945433583885,
        4.952414628779614,
        4.95243471420084,
        4.952454799622066,
        4.954162060426263,
        4.956190687970076,
        4.956210773391302,
        4.9562308588125275,
        4.956250944233753,
        4.956271029654979,
        4.956291115076205,
        4.956311200497431,
        4.956331285918656,
        4.956351371339883,
        4.956371456761109,
        4.956391542182334,
        4.95641162760356,
        4.956431713024786,
        4.956451798446012,
        4.956471883867238,
        4.956491969288463,
        4.95651205470969,
        4.956532140130915,
        4.956552225552142,
        4.956572310973367,
        4.956592396394593,
        4.956612481815819,
        4.956632567237044,
        4.95665265265827,
        4.956672738079496,
        4.956692823500722,
        4.956712908921948,
        4.956732994343174,
        4.9567530797643995,
        4.956773165185626,
        4.956793250606851,
        4.956813336028077,
        4.9568334214493035,
        4.956853506870528,
        4.95689367771298,
        4.9569137631342075,
        4.958460340568597,
        4.960408626427506,
        4.960428711848732,
        4.960448797269957,
        4.960468882691183,
        4.96048896811241,
        4.960509053533635,
        4.960529138954861,
        4.960549224376087,
        4.960569309797313,
        4.9605893952185385,
        4.960609480639764,
        4.96062956606099,
        4.960649651482217,
        4.960669736903442,
        4.960689822324668,
        4.960709907745893,
        4.960729993167119,
        4.960750078588346,
        4.9607701640095705,
        4.960790249430797,
        4.960810334852023,
        4.96083042027325,
        4.9608505056944745,
        4.9608705911157,
        4.960890676536927,
        4.960910761958152,
        4.960930847379378,
        4.960950932800603,
        4.96097101822183,
        4.960991103643056,
        4.961011189064282,
        4.961031274485508,
        4.961051359906734,
        4.961071445327959,
        4.961091530749185,
        4.961111616170411,
        4.961131701591636,
        4.961151787012863,
        4.961171872434088,
        4.961191957855315,
        4.96121204327654,
        4.961232128697766,
        4.961252214118992,
        4.961272299540218,
        4.961292384961444,
        4.961312470382669,
        4.961332555803895,
        4.961352641225122,
        4.961372726646347,
        4.961392812067573,
        4.961412897488798,
        4.961432982910025,
        4.9614530683312505,
        4.961473153752476,
        4.961493239173702,
        4.961513324594929,
        4.961533410016154,
        4.96155349543738,
        4.961573580858605,
        4.961593666279831,
        4.961613751701058,
        4.961633837122283,
        4.961653922543509,
        4.961674007964735,
        4.961694093385961,
        4.961714178807187,
        4.961734264228412,
        4.961754349649639,
        4.961774435070864,
        4.96179452049209,
        4.9618146059133155,
        4.961834691334542,
        4.961854776755768,
        4.961874862176994,
        4.961894947598219,
        4.961915033019446,
        4.961935118440671,
        4.961955203861897,
        4.961975289283123,
        4.961995374704348,
        4.962015460125575,
        4.9620355455468,
        4.962055630968027,
        4.962075716389252,
        4.962095801810477,
        4.962115887231704,
        4.962135972652929,
        4.962156058074156,
        4.962176143495381,
        4.962196228916607,
        4.962216314337833,
        4.9622363997590595,
        4.962256485180284,
        4.96227657060151,
        4.962296656022736,
        4.962316741443963,
        4.962336826865188,
        4.962356912286413,
        4.96237699770764,
        4.962397083128866,
        4.962417168550092,
        4.962437253971317,
        4.962457339392542,
        4.96247742481377,
        4.962497510234995,
        4.962517595656221,
        4.962537681077446,
        4.962557766498673,
        4.962577851919899,
        4.962597937341124,
        4.96261802276235,
        4.962638108183576,
        4.962658193604802,
        4.9626782790260275,
        4.962698364447254,
        4.96271844986848,
        4.962738535289706,
        4.962758620710931,
        4.962778706132158,
        4.962798791553383,
        4.962818876974609,
        4.962838962395835,
        4.96285904781706,
        4.962879133238287,
        4.962899218659512,
        4.962919304080738,
        4.9629393895019644,
        4.962959474923189,
        4.962979560344416,
        4.962999645765641,
        4.9630197311868685,
        4.963039816608093,
        4.963059902029319,
        4.963079987450545,
        4.963100072871772,
        4.9631201582929965,
        4.963140243714222,
        4.963160329135448,
        4.963180414556675,
        4.9632004999779005,
        4.963220585399125,
        4.963240670820352,
        4.963260756241578,
        4.9632808416628045,
        4.963300927084029,
        4.963321012505254,
        4.963341097926482,
        4.963361183347707,
        4.963381268768933,
        4.963401354190158,
        4.963421439611385,
        4.963441525032611,
        4.9634616104538365,
        4.963481695875062,
        4.963501781296288,
        4.963521866717514,
        4.96354195213874,
        4.963562037559965,
        4.963582122981191,
        4.963602208402418,
        4.963622293823643,
        4.9636423792448685,
        4.963662464666095,
        4.963682550087321,
        4.963702635508547,
        4.963722720929772,
        4.963742806350999,
        4.963762891772224,
        4.96378297719345,
        4.963803062614676,
        4.963823148035901,
        4.963843233457128,
        4.963863318878353,
        4.963883404299579,
        4.963903489720805,
        4.963923575142031,
        4.963943660563257,
        4.963963745984483,
        4.9639838314057085,
        4.964003916826934,
        4.96402400224816,
        4.964044087669386,
        4.9640641730906125,
        4.964084258511837,
        4.964104343933064,
        4.964124429354289,
        4.9641445147755165,
        4.964164600196741,
        4.964184685617966,
        4.964204771039193,
        4.964224856460419,
        4.9642449418816454,
        4.96426502730287,
        4.964285112724096,
        4.964305198145323,
        4.964325283566548,
        4.964345368987774,
        4.964787248254743,
        4.964807333675969,
        4.964827419097195,
        4.964847504518421,
        4.964867589939646,
        4.964887675360872,
        4.964907760782097,
        4.964927846203325,
        4.9649479316245495,
        4.964968017045776,
        4.964988102467001,
        4.965008187888229,
        4.9650282733094535,
        4.965048358730678,
        4.965068444151905,
        4.965088529573131,
        4.965108614994357,
        4.965128700415582,
        4.965148785836808,
        4.965168871258035,
        4.96518895667926,
        4.9652090421004855,
        4.965229127521711,
        4.965249212942938,
        4.965269298364164,
        4.9652893837853895,
        4.965309469206614,
        4.965329554627842,
        4.965349640049067,
        4.965369725470293,
        4.965389810891518,
        4.965409896312744,
        4.965429981733971,
        4.965450067155196,
        4.965470152576422,
        4.965490237997648,
        4.965510323418874,
        4.9655304088401,
        4.965550494261325,
        4.965570579682552,
        4.965590665103777,
        4.965610750525003,
        4.965630835946229,
        4.965650921367455,
        4.965671006788681,
        4.965691092209907,
        4.965711177631132,
        4.9657312630523585,
        4.965751348473584,
        4.965771433894809,
        4.965791519316036,
        4.965811604737262,
        4.965831690158488,
        4.965851775579713,
        4.96587186100094,
        4.965891946422166,
        4.9659120318433905,
        4.965932117264617,
        4.965952202685842,
        4.965972288107069,
        4.9659923735282945,
        4.96601245894952,
        4.966032544370747,
        4.966052629791972,
        4.966072715213198,
        4.966092800634423,
        4.96611288605565,
        4.966132971476876,
        4.966153056898102,
        4.9661731423193265,
        4.966193227740554,
        4.966213313161779,
        4.966233398583005,
        4.9662534840042305,
        4.966273569425456,
        4.966293654846683,
        4.966313740267908,
        4.9663338256891345,
        4.96635391111036,
        4.966373996531586,
        4.966394081952812,
        4.966414167374037,
        4.966434252795263,
        4.966454338216489,
        4.966474423637715,
        4.966494509058941,
        4.966514594480167,
        4.966534679901393,
        4.966554765322619,
        4.966574850743844,
        4.9665949361650705,
        4.966615021586296,
        4.966635107007521,
        4.966655192428748,
        4.966675277849974,
        4.9666953632712,
        4.966715448692425,
        4.96673553411365,
        4.966755619534878,
        4.9667757049561025,
        4.966795790377329,
        4.966815875798554,
        4.966835961219781,
        4.9668560466410066,
        4.966876132062232,
        4.966896217483458,
        4.966916302904684,
        4.96693638832591,
        4.9669564737471354,
        4.966976559168361,
        4.966996644589588,
        4.967016730010814,
        4.967036815432039,
        4.967056900853265,
        4.967076986274491,
        4.967097071695716,
        4.967117157116943,
        4.9671372425381675,
        4.967157327959395,
        4.96717741338062,
        4.967197498801847,
        4.9672175842230715,
        4.967237669644298,
        4.967257755065524,
        4.967277840486749,
        4.967297925907975,
        4.967318011329201,
        4.967338096750427,
        4.967358182171653,
        4.967378267592879,
        4.967398353014104,
        4.96741843843533,
        4.967438523856556,
        4.967458609277782,
        4.967478694699008,
        4.967498780120233,
        4.96751886554146,
        4.967538950962685,
        4.967559036383912,
        4.967579121805137,
        4.967599207226362,
        4.96761929264759,
        4.967639378068815,
        4.967659463490041,
        4.967679548911266,
        4.967699634332493,
        4.967719719753719,
        4.967739805174944,
        4.967759890596169,
        4.967779976017396,
        4.967800061438622,
        4.9678201468598475,
        4.967840232281073,
        4.9678603177023,
        4.967880403123526,
        4.967900488544751,
        4.967920573965977,
        4.967940659387203,
        4.967960744808428,
        4.967980830229655,
        4.9680009156508795,
        4.968021001072107,
        4.968041086493332,
        4.968061171914558,
        4.9680812573357835,
        4.968101342757009,
        4.968121428178236,
        4.968141513599461,
        4.968161599020687,
        4.968181684441913,
        4.968201769863139,
        4.968221855284365,
        4.968241940705591,
        4.9682620261268164,
        4.968282111548042,
        4.968302196969268,
        4.968322282390494,
        4.9683423678117205,
        4.968362453232945,
        4.968382538654172,
        4.968402624075397,
        4.9684227094966245,
        4.968442794917849,
        4.968462880339074,
        4.968482965760301,
        4.968503051181527,
        4.968523136602753,
        4.968543222023978,
        4.968563307445204,
        4.968583392866431,
        4.9686034782876565,
        4.968623563708881,
        4.968643649130107,
        4.968663734551334,
        4.96868381997256,
        4.968703905393785,
        4.968723990815011,
        4.968744076236238,
        4.968764161657463,
        4.968784247078689,
        4.968804332499914,
        4.96882441792114,
        4.968844503342367,
        4.968864588763592,
        4.968884674184818,
        4.968904759606044,
        4.96892484502727,
        4.968944930448496,
        4.9689650158697205,
        4.968985101290948,
        4.969005186712173,
        4.969025272133399,
        4.9690453575546245,
        4.969065442975851,
        4.969085528397077,
        4.969105613818303,
        4.969125699239528,
        4.969145784660754,
        4.96916587008198,
        4.969185955503206,
        4.969206040924432,
        4.969226126345657,
        4.969246211766884,
        4.969266297188109,
        4.9692863826093365,
        4.969306468030561,
        4.969326553451786,
        4.969346638873013,
        4.969366724294239,
        4.9693868097154645,
        4.96940689513669,
        4.969426980557916,
        4.969447065979143,
        4.9694671514003685,
        4.969487236821593,
        4.969507322242819,
        4.969527407664046,
        4.969547493085272,
        4.969567578506497,
        4.969587663927722,
        4.96960774934895,
        4.969627834770175,
        4.969647920191401,
        4.969668005612626,
        4.969688091033852,
        4.969708176455079,
        4.969728261876304,
        4.96974834729753,
        4.969768432718756,
        4.969788518139982,
        4.969808603561208,
        4.969828688982433,
        4.96984877440366,
        4.969868859824885,
        4.969888945246111,
        4.969909030667337,
        4.969929116088563,
        4.969949201509788,
        4.969969286931015,
        4.96998937235224,
        4.970009457773466,
        4.970029543194692,
        4.970049628615918,
        4.970069714037144,
        4.9700897994583695,
        4.970109884879596,
        4.970129970300821,
        4.970150055722047,
        4.9701701411432735,
        4.970190226564498,
        4.970210311985725,
        4.97023039740695,
        4.970250482828177,
        4.970270568249402,
        4.970290653670628,
        4.970310739091854,
        4.97033082451308,
        4.9703509099343055,
        4.970370995355531,
        4.970391080776757,
        4.970411166197984,
        4.9704312516192095,
        4.970451337040434,
        4.970471422461661,
        4.970491507882887,
        4.970511593304113,
        4.970531678725338,
        4.970551764146563,
        4.970571849567791,
        4.970591934989016,
        4.9706120204102415,
        4.970632105831467,
        4.970652191252694,
        4.97067227667392,
        4.970692362095145,
        4.970712447516371,
        4.970732532937597,
        4.970752618358823,
        4.970772703780049,
        4.970792789201274,
        4.9708128746225,
        4.970832960043727,
        4.970853045464952,
        4.9708731308861775,
        4.970893216307404,
        4.970913301728629,
        4.970933387149856,
        4.9709534725710816,
        4.970973557992308,
        4.970993643413533,
        4.971013728834758,
        4.971033814255986,
        4.9710538996772105,
        4.971073985098437,
        4.971094070519662,
        4.971114155940889,
        4.9711342413621145,
        4.97115432678334,
        4.971174412204566,
        4.971194497625792,
        4.971214583047018,
        4.971234668468243,
        4.971254753889469,
        4.971274839310696,
        4.971294924731922,
        4.9713150101531465,
        4.971335095574373,
        4.971355180995599,
        4.971375266416825,
        4.9713953518380505,
        4.971415437259275,
        4.971435522680503,
        4.971455608101728,
        4.971475693522954,
        4.971495778944179,
        4.971515864365406,
        4.971535949786632,
        4.971556035207857,
        4.9715761206290825,
        4.971596206050309,
        4.971616291471535,
        4.971636376892761,
        4.9716564623139865,
        4.971676547735212,
        4.971696633156439,
        4.971716718577664,
        4.97173680399889,
        4.971756889420116,
        4.971776974841341,
        4.971797060262568,
        4.971817145683793,
        4.97183723110502,
        4.971857316526245,
        4.97187740194747,
        4.971897487368697,
        4.9719175727899225,
        4.971937658211149,
        4.971957743632374,
        4.9719778290536,
        4.9719979144748265,
        4.972017999896052,
        4.972038085317278,
        4.972058170738503,
        4.97207825615973,
        4.972098341580955,
        4.972118427002181,
        4.972138512423406,
        4.972158597844634,
        4.9721786832658585,
        4.972198768687085,
        4.97221885410831,
        4.972238939529536,
        4.9722590249507626,
        4.972279110371987,
        4.972299195793214,
        4.97231928121444,
        4.972339366635666,
        4.9723594520568914,
        4.972379537478117,
        4.972399622899344,
        4.972419708320569,
        4.972439793741795,
        4.97245987916302,
        4.972479964584247,
        4.972500050005473,
        4.972520135426699,
        4.972540220847924,
        4.972560306269151,
        4.972580391690376,
        4.972600477111602,
        4.972620562532828,
        4.972640647954053,
        4.97266073337528,
        4.972680818796505,
        4.972700904217732,
        4.972720989638957,
        4.972741075060182,
        4.972761160481409,
        4.972781245902635,
        4.97280133132386,
        4.972821416745086,
        4.972841502166312,
        4.972861587587539,
        4.972881673008764,
        4.97290175842999,
        4.972921843851215,
        4.972941929272442,
        4.9729620146936675,
        4.972982100114893,
        4.973002185536118,
        4.973022270957346,
        4.973042356378571,
        4.973062441799797,
        4.973082527221022,
        4.973102612642248,
        4.973122698063475,
        4.9731427834846995,
        4.973162868905926,
        4.973182954327152,
        4.973203039748378,
        4.9732231251696035,
        4.973243210590829,
        4.973263296012056,
        4.973283381433281,
        4.973303466854507,
        4.973323552275732,
        4.973343637696959,
        4.973363723118185,
        4.973383808539411,
        4.9734038939606355,
        4.973423979381862,
        4.973444064803088,
        4.973464150224313,
        4.9734842356455395,
        4.973504321066765,
        4.973524406487992,
        4.973544491909217,
        4.9735645773304435,
        4.973584662751669,
        4.973604748172894,
        4.973624833594121,
        4.973644919015346,
        4.9736650044365724,
        4.973685089857798,
        4.973705175279024,
        4.97372526070025,
        4.9737453461214765,
        4.973765431542701,
        4.973785516963927,
        4.973805602385153,
        4.97382568780638,
        4.973845773227605,
        4.97386585864883,
        4.973885944070057,
        4.973906029491283,
        4.973926114912509,
        4.973946200333734,
        4.973966285754959,
        4.973986371176187,
        4.974006456597412,
        4.974026542018638,
        4.974046627439863,
        4.97406671286109,
        4.974086798282316,
        4.9741068837035405,
        4.974126969124767,
        4.974147054545993,
        4.974167139967219,
        4.9741872253884445,
        4.974207310809671,
        4.974227396230897,
        4.974247481652123,
        4.974267567073348,
        4.974287652494574,
        4.9743077379158,
        4.974327823337025,
        4.974347908758252,
        4.974367994179477,
        4.974388079600704,
        4.974408165021929,
        4.974428250443155,
        4.974448335864381,
        4.974468421285606,
        4.974488506706833,
        4.974508592128058,
        4.9745286775492845,
        4.97454876297051,
        4.974568848391736,
        4.974588933812962,
        4.9746090192341885,
        4.974629104655413,
        4.974649190076639,
        4.974669275497865,
        4.974689360919092,
        4.974709446340317,
        4.974729531761542,
        4.974749617182769,
        4.974769702603995,
        4.974789788025221,
        4.974809873446446,
        4.974829958867671,
        4.974850044288899,
        4.974870129710124,
        4.97489021513135,
        4.974910300552575,
        4.974930385973802,
        4.974950471395028,
        4.9749705568162526,
        4.974990642237478,
        4.975010727658705,
        4.975030813079931,
        4.975050898501157,
        4.975070983922382,
        4.975091069343608,
        4.975111154764835,
        4.97513124018606,
        4.9751513256072855,
        4.975171411028512,
        4.975191496449737,
        4.975211581870964,
        4.975231667292189,
        4.975251752713416,
        4.975271838134641,
        4.975291923555867,
        4.975312008977093,
        4.975332094398318,
        4.975352179819545,
        4.97537226524077,
        4.975392350661996,
        4.975412436083222,
        4.975432521504448,
        4.975452606925674,
        4.9754726923469,
        4.9754927777681255,
        4.975512863189351,
        4.975532948610577,
        4.975553034031803,
        4.9755731194530295,
        4.975593204874254,
        4.975613290295481,
        4.975633375716706,
        4.975653461137932,
        4.975673546559158,
        4.975693631980383,
        4.97571371740161,
        4.975733802822836,
        4.975753888244062,
        4.975773973665287,
        4.975794059086513,
        4.97581414450774,
        4.975834229928965,
        4.97585431535019,
        4.975874400771417,
        4.975894486192643,
        4.975914571613869,
        4.975934657035094,
        4.97595474245632,
        4.975974827877547,
        4.975994913298772,
        4.9760149987199975,
        4.976035084141224,
        4.976055169562449,
        4.976075254983676,
        4.976095340404901,
        4.976115425826128,
        4.976135511247353,
        4.976155596668579,
        4.976175682089805,
        4.97619576751103,
        4.976215852932257,
        4.976235938353482,
        4.976256023774708,
        4.976276109195934,
        4.97629619461716,
        4.976316280038385,
        4.976336365459611,
        4.976356450880838,
        4.976376536302063,
        4.976396621723289,
        4.976416707144515,
        4.976436792565742,
        4.9764568779869665,
        4.976476963408193,
        4.976497048829418,
        4.976517134250644,
        4.9765372196718705,
        4.976557305093095,
        4.976577390514322,
        4.976597475935548,
        4.976617561356774,
        4.976637646777999,
        4.976657732199225,
        4.976677817620452,
        4.976697903041677,
        4.9767179884629025,
        4.976738073884128,
        4.976758159305355,
        4.976778244726581,
        4.9767983301478065,
        4.977029312491904,
        4.9776620032605186,
        4.9776820886817434,
        4.977702174102971,
        4.977722259524196,
        4.977742344945422,
        4.9777624303666475,
        4.977782515787873,
        4.9778026012091,
        4.977822686630325,
        4.977842772051551,
        4.977862857472777,
        4.977882942894002,
        4.977903028315229,
        4.977923113736454,
        4.97794319915768,
        4.977963284578906,
        4.977983370000132,
        4.978003455421358,
        4.978023540842584,
        4.978043626263809,
        4.978063711685035,
        4.978083797106261,
        4.9781038825274875,
        4.978123967948713,
        4.978144053369938,
        4.978164138791165,
        4.978184224212391,
        4.978204309633617,
        4.978224395054842,
        4.978244480476067,
        4.978264565897295,
        4.9782846513185195,
        4.978304736739746,
        4.978324822160971,
        4.978344907582198,
        4.9783649930034235,
        4.978385078424649,
        4.978405163845875,
        4.978425249267101,
        4.978445334688327,
        4.978465420109552,
        4.978485505530778,
        4.978505590952004,
        4.978525676373231,
        4.9785457617944555,
        4.978565847215682,
        4.978585932636908,
        4.978606018058134,
        4.9786261034793595,
        4.978646188900584,
        4.978666274321812,
        4.978686359743037,
        4.978706445164263,
        4.978726530585488,
        4.978746616006714,
        4.978766701427941,
        4.978786786849166,
        4.9788068722703915,
        4.978826957691618,
        4.978847043112844,
        4.97886712853407,
        4.9788872139552955,
        4.978907299376521,
        4.978927384797747,
        4.978947470218973,
        4.978967555640199,
        4.978987641061425,
        4.97900772648265,
        4.979027811903877,
        4.979047897325102,
        4.979067982746329,
        4.979088068167554,
        4.979108153588779,
        4.979128239010007,
        4.979148324431232,
        4.979168409852457,
        4.979188495273683,
        4.97920858069491,
        4.979228666116136,
        4.979248751537361,
        4.979268836958587,
        4.979288922379813,
        4.979309007801039,
        4.9793290932222645,
        4.97934917864349,
        4.979369264064716,
        4.979389349485943,
        4.979409434907168,
        4.979429520328393,
        4.97944960574962,
        4.979469691170845,
        4.979489776592072,
        4.9795098620132965,
        4.979529947434524,
        4.979550032855749,
        4.979570118276975,
        4.9795902036982005,
        4.979610289119426,
        4.979630374540653,
        4.979650459961878,
        4.979670545383104,
        4.97969063080433,
        4.979710716225556,
        4.979730801646782,
        4.979750887068008,
        4.979770972489233,
        4.979791057910459,
        4.979811143331685,
        4.97983122875291,
        4.979851314174137,
        4.979871399595362,
        4.979891485016589,
        4.979911570437814,
        4.979931655859041,
        4.979951741280266,
        4.979971826701491,
        4.979991912122718,
        4.980011997543944,
        4.980032082965169,
        4.980052168386395,
        4.980072253807621,
        4.980092339228848,
        4.9801124246500725,
        4.980132510071298,
        4.980152595492524,
        4.980172680913751,
        4.9801927663349765,
        4.980212851756202,
        4.980232937177427,
        4.980253022598655,
        4.98027310801988,
        4.980293193441105,
        4.980313278862331,
        4.980333364283557,
        4.980353449704784,
        4.9803735351260086,
        4.980393620547235,
        4.980413705968461,
        4.980433791389687,
        4.980453876810913,
        4.9804739622321375,
        4.98095601234156,
        4.981879941717948,
        4.981900027139174,
        4.981920112560401,
        4.9819401979816265,
        4.981960283402851,
        4.981980368824078,
        4.982000454245304,
        4.982020539666529,
        4.982040625087755,
        4.98206071050898,
        4.982080795930208,
        4.982100881351433,
        4.9821209667726585,
        4.982141052193884,
        4.982161137615111,
        4.982181223036337,
        4.982201308457562,
        4.982221393878787,
        4.982241479300014,
        4.98226156472124,
        4.982281650142466,
        4.982301735563691,
        4.982321820984917,
        4.982341906406143,
        4.982361991827369,
        4.9823820772485945,
        4.982402162669821,
        4.982422248091046,
        4.982442333512273,
        4.9824624189334985,
        4.982482504354725,
        4.98250258977595,
        4.982522675197175,
        4.9825427606184025,
        4.982562846039627,
        4.982582931460854,
        4.982603016882079,
        4.982623102303306,
        4.982643187724531,
        4.982663273145757,
        4.982683358566982,
        4.982703443988209,
        4.9827235294094345,
        4.98274361483066,
        4.982763700251886,
        4.982783785673113,
        4.9828038710943385,
        4.982823956515563,
        4.98284404193679,
        4.982864127358016,
        4.982884212779241,
        4.982904298200467,
        4.982924383621692,
        4.98294446904292,
        4.982964554464145,
        4.9829846398853705,
        4.983004725306596,
        4.983024810727822,
        4.983044896149049,
        4.983064981570274,
        4.9830850669914994,
        4.983105152412726,
        4.983125237833952,
        4.983145323255178,
        4.9831654086764035,
        4.983185494097629,
        4.983205579518855,
        4.983225664940081,
        4.983245750361307,
        4.983265835782533,
        4.983285921203758,
        4.983306006624985,
        4.98332609204621,
        4.983346177467436,
        4.983366262888662,
        4.983386348309887,
        4.983406433731114,
        4.9834265191523395,
        4.983446604573566,
        4.983466689994791,
        4.983486775416017,
        4.9835068608372435,
        4.983526946258469,
        4.983547031679694,
        4.98356711710092,
        4.983587202522147,
        4.983607287943372,
        4.983627373364598,
        4.983647458785823,
        4.983667544207051,
        4.9836876296282755,
        4.983707715049502,
        4.983727800470727,
        4.983747885891953,
        4.9837679713131795,
        4.983788056734404,
        4.983808142155631,
        4.983828227576857,
        4.983848312998083,
        4.983868398419308,
        4.983888483840533,
        4.983908569261761,
        4.983928654682986,
        4.9839487401042115,
        4.983968825525437,
        4.983988910946664,
        4.98400899636789,
        4.9840290817891155,
        4.984049167210341,
        4.984069252631567,
        4.984089338052793,
        4.984109423474019,
        4.984129508895245,
        4.98414959431647,
        4.984169679737697,
        4.984189765158922,
        4.984209850580148,
        4.984229936001374,
        4.984250021422599,
        4.984270106843826,
        4.9842901922650515,
        4.984310277686277,
        4.984330363107503,
        4.984350448528729,
        4.9843705339499556,
        4.984390619371181,
        4.984410704792406,
        4.984430790213632,
        4.984450875634859,
        4.9844709610560844,
        4.98449104647731,
        4.984511131898535,
        4.984531217319763,
        4.984551302740988,
        4.984571388162214,
        4.984591473583439,
        4.984611559004665,
        4.984631644425892,
        4.9846517298471165,
        4.984671815268343,
        4.984691900689569,
        4.984711986110795,
        4.9847320715320205,
        4.984752156953245,
        4.984772242374473,
        4.984792327795698,
        4.984812413216924,
        4.984832498638149,
        4.984852584059376,
        4.984872669480601,
        4.984892754901828,
        4.9849128403230525,
        4.984932925744279,
        4.984953011165505,
        4.98497309658673,
        4.9849931820079565,
        4.985013267429182,
        4.985033352850409,
        4.985053438271634,
        4.98507352369286,
        4.985093609114086,
        4.985113694535311,
        4.985133779956538,
        4.985153865377763,
        4.985173950798989,
        4.985194036220215,
        4.985214121641441,
        4.985234207062667,
        4.985254292483893,
        4.985274377905118,
        4.985294463326344,
        4.98531454874757,
        4.9853346341687965,
        4.985354719590022,
        4.985374805011247,
        4.985394890432474,
        4.9854149758537,
        4.985435061274925,
        4.985455146696151,
        4.985475232117376,
        4.985495317538604,
        4.9855154029598285,
        4.985535488381054,
        4.98555557380228,
        4.985575659223507,
        4.9855957446447325,
        4.985615830065957,
        4.985635915487184,
        4.98565600090841,
        4.985676086329636,
        4.985696171750861,
        4.985716257172088,
        4.985736342593313,
        4.98575642801454,
        4.985776513435765,
        4.985796598856991,
        4.985816684278217,
        4.985836769699442,
        4.985856855120669,
        4.985876940541894,
        4.985897025963121,
        4.985917111384346,
        4.985937196805572,
        4.985957282226798,
        4.985977367648023,
        4.98599745306925,
        4.986017538490475,
        4.9860376239117015,
        4.986057709332927,
        4.986077794754153,
        4.986097880175379,
        4.986117965596605,
        4.98613805101783,
        4.986158136439056,
        4.986178221860282,
        4.986198307281508,
        4.986218392702734,
        4.986238478123959,
        4.986258563545186,
        4.986278648966412,
        4.9862987343876375,
        4.986318819808863,
        4.986338905230088,
        4.986358990651316,
        4.986379076072541,
        4.986399161493766,
        4.986419246914992,
        4.986439332336219,
        4.986459417757445,
        4.9864795031786695,
        4.986499588599895,
        4.986519674021122,
        4.986539759442348,
        4.9865598448635735,
        4.986579930284799,
        4.986600015706025,
        4.986620101127252,
        4.986640186548477,
        4.986660271969702,
        4.986680357390929,
        4.986700442812154,
        4.986720528233381,
        4.9867406136546055,
        4.986760699075833,
        4.986780784497058,
        4.986800869918283,
        4.9868209553395095,
        4.986841040760735,
        4.986861126181962,
        4.986881211603187,
        4.986901297024413,
        4.986921382445639,
        4.986941467866865,
        4.986961553288091,
        4.986981638709316,
        4.987001724130542,
        4.987021809551768,
        4.987041894972994,
        4.987061980394219,
        4.987082065815446,
        4.987102151236671,
        4.987122236657898,
        4.987142322079123,
        4.987162407500349,
        4.987182492921575,
        4.9872025783428,
        4.987222663764027,
        4.987242749185253,
        4.9872628346064785,
        4.987282920027704,
        4.98730300544893,
        4.987323090870157,
        4.987343176291382,
        4.987363261712607,
        4.987383347133834,
        4.98740343255506,
        4.987423517976286,
        4.987443603397511,
        4.987463688818737,
        4.987483774239964,
        4.987503859661189,
        4.9875239450824145,
        4.987544030503641,
        4.987564115924866,
        4.987584201346093,
        4.987604286767318,
        4.987624372188545,
        4.98764445760977,
        4.987664543030995,
        4.987684628452222,
        4.987704713873447,
        4.987724799294673,
        4.987744884715899,
        4.987764970137125,
        4.987785055558351,
        4.987805140979577,
        4.987825226400802,
        4.987845311822028,
        4.9878653972432545,
        4.98788548266448,
        4.987905568085706,
        4.987925653506931,
        4.9879457389281585,
        4.987965824349383,
        4.98798590977061,
        4.988005995191835,
        4.988026080613061,
        4.988046166034287,
        4.988066251455512,
        4.988086336876739,
        4.988106422297965,
        4.9881265077191905,
        4.988146593140416,
        4.988166678561642,
        4.988186763982869,
        4.988206849404094,
        4.988226934825319,
        4.988247020246545,
        4.988267105667772,
        4.988287191088998,
        4.988307276510223,
        4.988327361931448,
        4.988347447352675,
        4.988367532773901,
        4.988387618195126,
        4.988407703616352,
        4.988427789037578,
        4.988447874458805,
        4.98846795988003,
        4.988488045301256,
        4.988508130722482,
        4.988528216143707,
        4.988548301564934,
        4.988568386986159,
        4.988588472407385,
        4.988608557828611,
        4.988628643249837,
        4.988648728671063,
        4.988668814092289,
        4.988688899513514,
        4.98870898493474,
        4.988729070355966,
        4.988749155777192,
        4.988769241198418,
        4.988789326619643,
        4.98880941204087,
        4.9888294974620955,
        4.988849582883322,
        4.988869668304547,
        4.988889753725772,
        4.9889098391469995,
        4.988929924568224,
        4.988950009989451,
        4.988970095410677,
        4.988990180831903,
        4.989010266253128,
        4.989030351674353,
        4.98905043709558,
        4.989070522516806,
        4.9890906079380315,
        4.989110693359257,
        4.989130778780484,
        4.98915086420171,
        4.9891709496229355,
        4.98919103504416,
        4.989211120465387,
        4.989231205886613,
        4.989251291307838,
        4.989271376729064,
        4.98929146215029,
        4.989311547571517,
        4.989331632992742,
        4.9893517184139675,
        4.989371803835194,
        4.989391889256419,
        4.989411974677646,
        4.989432060098871,
        4.989452145520097,
        4.989472230941323,
        4.989492316362549,
        4.989512401783775,
        4.989532487205001,
        4.989552572626226,
        4.989572658047452,
        4.989592743468678,
        4.989612828889904,
        4.98963291431113,
        4.989652999732355,
        4.989673085153582,
        4.9896931705748075,
        4.989713255996034,
        4.989733341417259,
        4.989753426838484,
        4.9897735122597116,
        4.989793597680936,
        4.989813683102162,
        4.989833768523388,
        4.989853853944615,
        4.9898739393658404,
        4.989894024787065,
        4.989914110208291,
        4.989934195629518,
        4.989954281050744,
        4.989974366471969,
        4.989994451893195,
        4.990014537314421,
        4.990034622735648,
        4.9900547081568725,
        4.990074793578098,
        4.990094878999325,
        4.99011496442055,
        4.9901350498417765,
        4.990155135263001,
        4.990175220684229,
        4.990195306105454,
        4.99021539152668,
        4.990235476947905,
        4.990255562369131,
        4.990275647790358,
        4.990436331160164,
        4.99045641658139,
        4.990476502002616,
        4.990496587423842,
        4.990878210427133,
        4.99089829584836,
        4.9909183812695845,
        4.99093846669081,
        4.990958552112037,
        4.990978637533262,
        4.9909987229544885,
        4.991018808375713,
        4.991038893796941,
        4.991058979218166,
        4.991079064639392,
        4.991099150060617,
        4.991119235481843,
        4.99113932090307,
        4.991159406324295,
        4.991179491745521,
        4.991199577166747,
        4.991219662587973,
        4.991239748009198,
        4.991259833430425,
        4.99127991885165,
        4.991300004272876,
        4.991320089694102,
        4.991340175115328,
        4.991360260536554,
        4.991380345957779,
        4.991400431379006,
        4.991420516800231,
        4.991440602221457,
        4.991460687642683,
        4.991480773063908,
        4.991500858485135,
        4.991520943906361,
        4.991541029327586,
        4.991561114748812,
        4.991581200170038,
        4.991601285591265,
        4.9916213710124895,
        4.991641456433715,
        4.991661541854941,
        4.991681627276168,
        4.9917017126973935,
        4.991721798118619,
        4.991741883539844,
        4.991761968961072,
        4.991782054382297,
        4.991802139803522,
        4.991822225224748,
        4.991842310645974,
        4.991862396067201,
        4.9918824814884255,
        4.991902566909651,
        4.991922652330878,
        4.991942737752104,
        4.9919628231733295,
        4.991982908594554,
        4.992002994015781,
        4.992023079437007,
        4.992043164858233,
        4.992063250279458,
        4.992083335700685,
        4.99210342112191,
        4.992123506543136,
        4.9921435919643615,
        4.992163677385588,
        4.992183762806814,
        4.992203848228039,
        4.9922239336492655,
        4.992244019070491,
        4.992264104491718,
        4.992284189912943,
        4.9928465817072665,
        4.992866667128493,
        4.992886752549719,
        4.992906837970945,
        4.9929269233921705,
        4.992947008813397,
        4.992967094234622,
        4.992987179655848,
        4.993007265077074,
        4.9930273504983,
        4.993047435919526,
        4.993067521340751,
        4.993087606761978,
        4.993107692183203,
        4.99312777760443,
        4.993147863025655,
        4.99316794844688,
        4.993188033868107,
        4.993208119289332,
        4.993228204710558,
        4.993248290131784,
        4.9932683755530105,
        4.993288460974236,
        4.993308546395462,
        4.993328631816688,
        4.993348717237914,
        4.993368802659139,
        4.993388888080365,
        4.993408973501591,
        4.993429058922817,
        4.993449144344043,
        4.993469229765268,
        4.993489315186495,
        4.993509400607721,
        4.993529486028946,
        4.993549571450172,
        4.993569656871397,
        4.993589742292625,
        4.99360982771385,
        4.993629913135075,
        4.993649998556301,
        4.993670083977527,
        4.993690169398754,
        4.9937102548199785,
        4.993730340241204,
        4.993750425662431,
        4.993770511083657,
        4.9937905965048826,
        4.993810681926108,
        4.993830767347334,
        4.99385085276856,
        4.993870938189786,
        4.993891023611012,
        4.993911109032238,
        4.993931194453463,
        4.99395127987469,
        4.9939713652959155,
        4.993991450717142,
        4.994011536138367,
        4.994031621559592,
        4.9940517069808195,
        4.994071792402044,
        4.99409187782327,
        4.994111963244496,
        4.994132048665723,
        4.994152134086948,
        4.994172219508174,
        4.9941923049294,
        4.994212390350626,
        4.9942324757718515,
        4.994252561193077,
        4.994272646614303,
        4.994292732035529
    ],
    "flux": [
        1.16153,
        1.12594,
        1.09035,
        1.05476,
        1.04183,
        1.10291,
        1.16943,
        1.15367,
        1.14272,
        1.05853,
        0.896394,
        0.847384,
        1.22102,
        1.03395,
        1.28782,
        1.1923,
        1.12189,
        1.1209,
        1.12975,
        1.19324,
        1.11439,
        1.19975,
        1.15563,
        1.10202,
        1.15807,
        1.13999,
        1.13019,
        1.10756,
        1.0751,
        1.07473,
        1.10524,
        1.10748,
        1.09838,
        1.10264,
        1.12611,
        1.13079,
        1.1143,
        1.10611,
        1.09439,
        0.972833,
        0.957019,
        0.992132,
        1.02582,
        1.04107,
        1.02372,
        1.07712,
        1.06622,
        1.07274,
        1.07812,
        1.03083,
        0.964658,
        1.00732,
        0.999102,
        0.978839,
        0.950373,
        0.943966,
        1.04242,
        1.04198,
        1.02229,
        1.02913,
        1.00139,
        0.941706,
        0.950924,
        1.00393,
        1.07824,
        1.03553,
        1.00878,
        1.02878,
        1.02029,
        1.05698,
        0.950544,
        0.959638,
        1.01935,
        1.04927,
        1.02124,
        1.01976,
        1.01067,
        0.981818,
        0.994241,
        1.01298,
        0.984311,
        0.917947,
        0.980003,
        0.960944,
        0.978441,
        1.00143,
        0.979766,
        0.922775,
        0.990355,
        1.00037,
        0.997499,
        1.00558,
        1.02103,
        1.02597,
        1.05837,
        1.00324,
        1.03198,
        1.03614,
        1.01528,
        1.03843,
        1.04286,
        1.0387,
        1.07486,
        1.08939,
        1.08006,
        1.07399,
        1.07894,
        1.04278,
        1.02756,
        1.05183,
        1.0849,
        1.08015,
        1.01323,
        1.07233,
        1.0955,
        1.08947,
        1.08008,
        1.08743,
        1.11119,
        1.10661,
        1.08605,
        1.1192,
        1.14196,
        1.11488,
        1.05595,
        1.04785,
        1.04896,
        1.05954,
        1.06579,
        1.07424,
        1.10919,
        1.2048,
        1.06183,
        1.01599,
        1.06405,
        1.1397,
        1.17777,
        1.15805,
        1.18205,
        1.15058,
        1.12847,
        1.12784,
        1.12409,
        1.08151,
        1.05541,
        1.12638,
        1.17095,
        1.15315,
        1.11999,
        1.12766,
        1.05206,
        0.950569,
        0.907308,
        0.85779,
        0.721156,
        0.487384,
        0.275173,
        0.146771,
        0.184546,
        0.299265,
        0.371005,
        0.352274,
        0.324674,
        0.482993,
        0.703828,
        0.911358,
        1.04702,
        1.0805,
        1.03585,
        1.07513,
        1.07951,
        1.1248,
        1.11099,
        1.07279,
        1.09378,
        1.12218,
        1.12308,
        1.0369,
        1.04388,
        1.11463,
        1.15366,
        1.14719,
        1.22082,
        1.17113,
        1.00212,
        1.18467,
        1.1523,
        0.979871,
        1.0289,
        1.05244,
        1.09447,
        1.12828,
        1.11227,
        1.06236,
        1.02055,
        1.03951,
        1.08643,
        1.06951,
        1.002,
        1.00998,
        0.935447,
        0.990318,
        1.03313,
        1.0228,
        0.999229,
        1.02829,
        1.03404,
        0.998723,
        0.990851,
        1.02478,
        1.04501,
        1.03537,
        1.14817,
        1.06078,
        1.05505,
        1.04915,
        1.0294,
        1.02112,
        1.05171,
        1.04145,
        0.995807,
        1.00956,
        0.998418,
        0.983299,
        1.05727,
        1.02669,
        1.03898,
        1.03778,
        1.03346,
        1.04124,
        1.0578,
        1.03867,
        1.04526,
        1.02116,
        1.00283,
        1.01276,
        1.03469,
        1.01496,
        1.02602,
        0.975407,
        0.993814,
        1.01383,
        1.01756,
        1.03605,
        0.956909,
        0.960444,
        0.935851,
        0.950475,
        0.981398,
        0.970872,
        0.921382,
        1.00138,
        1.01899,
        0.966696,
        0.950686,
        0.995233,
        0.981989,
        0.953523,
        0.989718,
        1.0407,
        1.03172,
        1.00112,
        1.03408,
        1.0178,
        1.03306,
        1.00749,
        1.01719,
        1.01378,
        0.968313,
        1.02742,
        1.03457,
        1.05084,
        1.05004,
        1.07793,
        1.1227,
        1.10362,
        1.17964,
        1.11076,
        1.0776,
        1.09402,
        1.10072,
        1.05745,
        1.10317,
        1.08664,
        1.08438,
        1.10779,
        1.14847,
        1.18336,
        1.17906,
        1.10313,
        1.14102,
        1.16979,
        1.17479,
        1.19836,
        1.28168,
        1.25274,
        1.24484,
        1.20477,
        1.20368,
        1.23388,
        1.24073,
        1.22699,
        1.29576,
        1.29333,
        1.28131,
        1.2444,
        1.18814,
        1.18275,
        1.12624,
        1.19277,
        1.17581,
        1.19378,
        1.24334,
        1.2111,
        1.22508,
        1.23361,
        1.20889,
        1.23865,
        1.27839,
        1.265,
        1.26137,
        1.29441,
        1.32629,
        1.33614,
        1.2794,
        1.21031,
        1.25871,
        1.3086,
        1.25174,
        1.22059,
        1.23604,
        1.24652,
        1.20981,
        1.22015,
        1.24119,
        1.26894,
        1.26289,
        1.26487,
        1.26875,
        1.17123,
        1.21947,
        1.22876,
        1.18026,
        1.19482,
        1.23211,
        1.16094,
        1.18341,
        1.22938,
        1.20936,
        1.19247,
        1.18845,
        1.18094,
        1.17345,
        1.13587,
        1.25046,
        1.26234,
        1.23926,
        1.24235,
        1.22522,
        1.11997,
        1.13827,
        1.12146,
        1.10937,
        1.14063,
        1.21166,
        1.25985,
        1.21153,
        1.19049,
        1.177,
        1.14195,
        1.12814,
        1.2305,
        1.17967,
        1.17411,
        1.19068,
        1.17048,
        1.12793,
        1.12262,
        1.17,
        1.16886,
        1.1212,
        1.1299,
        1.13137,
        1.0906,
        1.12189,
        1.15755,
        1.19933,
        1.17254,
        1.15286,
        1.12622,
        1.03937,
        1.09074,
        1.12227,
        1.11228,
        1.11785,
        1.12503,
        1.10709,
        1.08375,
        1.11923,
        1.13164,
        1.15064,
        1.13134,
        1.10851,
        1.16485,
        1.12628,
        1.14721,
        1.17224,
        1.1428,
        1.13732,
        1.19879,
        1.13822,
        1.13574,
        1.16164,
        1.18191,
        1.20838,
        1.24039,
        1.23815,
        1.11073,
        1.16032,
        1.14098,
        1.10026,
        1.09357,
        1.13812,
        1.19276,
        1.23354,
        1.18117,
        1.15695,
        1.15888,
        1.15711,
        1.14411,
        1.14756,
        1.1776,
        1.08887,
        1.06369,
        1.10489,
        1.11057,
        1.1072,
        1.07466,
        1.1294,
        1.12416,
        1.08303,
        1.05109,
        1.02918,
        1.06934,
        1.14393,
        1.10097,
        1.08584,
        1.0867,
        1.04603,
        1.11954,
        1.14954,
        1.06023,
        1.05912,
        1.08741,
        1.0737,
        1.06261,
        1.08889,
        1.02582,
        1.02094,
        1.03725,
        1.02384,
        0.984333,
        1.04283,
        1.06434,
        1.0194,
        0.957274,
        0.965521,
        1.02334,
        0.993013,
        1.072,
        1.03098,
        1.01549,
        0.994385,
        0.989664,
        1.01672,
        0.9417,
        0.959608,
        0.949454,
        0.963561,
        0.971527,
        0.969406,
        1.00983,
        1.02713,
        0.990828,
        0.987216,
        1.00362,
        1.00808,
        0.992598,
        1.01642,
        0.923135,
        0.976606,
        0.956963,
        0.914306,
        0.925098,
        0.968765,
        0.922024,
        0.931421,
        0.969703,
        1.00739,
        0.970749,
        0.865195,
        0.915735,
        1.03112,
        0.974124,
        0.963974,
        0.99974,
        1.00963,
        0.953454,
        0.937213,
        1.01988,
        1.00464,
        0.975431,
        0.96502,
        0.965427,
        0.974511,
        0.929925,
        0.92975,
        0.956087,
        0.965068,
        0.957997,
        0.970003,
        0.959671,
        1.01102,
        0.938844,
        0.948302,
        0.997549,
        0.996166,
        1.02903,
        0.981538,
        0.946101,
        1.07048,
        1.08571,
        0.978612,
        0.975478,
        1.04262,
        1.0621,
        1.03231,
        1.05191,
        1.0997,
        1.09593,
        0.993428,
        1.0209,
        1.12564,
        1.18642,
        1.14345,
        1.08511,
        1.11318,
        1.05727,
        0.585933,
        0.547362,
        0.310595,
        0.300749,
        0.492592,
        0.713084,
        0.864329,
        0.984706,
        1.11897,
        1.00658,
        1.01924,
        1.03916,
        1.03081,
        1.01368,
        0.991684,
        0.996023,
        1.01274,
        1.00209,
        1.04305,
        1.00848,
        1.13838,
        1.10198,
        1.02501,
        1.06232,
        0.953316,
        1.06253,
        1.0173,
        0.98615,
        0.979288,
        0.963519,
        0.94165,
        1.03331,
        0.923976,
        0.936122,
        0.970138,
        0.962064,
        0.92897,
        0.952744,
        0.969727,
        0.992516,
        0.963067,
        0.919971,
        0.915256,
        0.958678,
        0.949509,
        0.934877,
        0.892801,
        0.956428,
        1.00469,
        0.964306,
        0.958122,
        0.995411,
        0.93619,
        0.899533,
        0.894537,
        0.893001,
        0.895218,
        0.984937,
        0.973461,
        0.93631,
        0.950489,
        0.956689,
        0.931859,
        0.925988,
        0.96321,
        0.941996,
        0.957397,
        0.926595,
        0.910322,
        0.926263,
        0.844183,
        0.896896,
        0.946212,
        0.931457,
        0.915994,
        0.933244,
        0.951993,
        0.887193,
        0.855517,
        0.936447,
        0.970406,
        0.969463,
        0.972855,
        0.973193,
        0.895664,
        0.955667,
        0.951671,
        0.936083,
        0.952148,
        0.994512,
        1.01284,
        1.0117,
        0.996965,
        0.937704,
        0.907038,
        0.927046,
        0.96388,
        0.990318,
        0.982953,
        0.986671,
        0.981418,
        1.02664,
        1.08833,
        1.04836,
        1.08212,
        1.07007,
        1.02847,
        1.05283,
        1.09521,
        1.09116,
        1.08935,
        1.05653,
        1.04255,
        1.02744,
        1.02165,
        1.02359,
        1.02376,
        1.03153,
        1.0829,
        1.02395,
        1.06549,
        1.10407,
        1.07638,
        1.07829,
        1.08898,
        1.04749,
        0.990227,
        0.970069,
        1.02078,
        1.08885,
        1.03703,
        1.02555,
        1.06272,
        1.009,
        1.02916,
        1.07617,
        1.03174,
        1.11274,
        1.11901,
        1.08324,
        1.02793,
        1.00976,
        1.02748,
        1.02208,
        1.09048,
        1.07785,
        1.08014,
        1.07521,
        1.03636,
        1.00623,
        0.946713,
        1.03554,
        1.01342,
        1.0199,
        0.998569,
        0.972229,
        0.990652,
        1.03487,
        1.01355,
        0.951884,
        0.942708,
        0.962672,
        0.973444,
        0.937496,
        0.934931,
        0.902234,
        0.899864,
        0.910673,
        0.880331,
        0.863608,
        0.979213,
        1.04403,
        1.00212,
        0.854371,
        0.841451,
        0.913301,
        0.915491,
        0.765192,
        0.867513,
        0.920561,
        0.910298,
        0.922844,
        0.970719,
        1.32407,
        0.657958,
        0.533343,
        0.792995,
        0.808372,
        0.780703,
        0.87234,
        0.941594,
        0.964624,
        0.956614,
        0.898058,
        0.892878,
        0.825806,
        0.845365,
        0.838581,
        0.838735,
        0.826529,
        0.782524,
        0.816709,
        0.874473,
        0.848799,
        0.860622,
        0.853782,
        0.79597,
        0.768438,
        0.813966,
        0.823518,
        0.846289,
        0.849035,
        0.84484,
        0.857792,
        0.868832,
        0.797118,
        0.848174,
        0.838903,
        0.810212,
        0.806585,
        0.833316,
        0.819307,
        0.894354,
        0.899458,
        0.856942,
        0.829234,
        0.825439,
        0.858975,
        0.881479,
        0.837372,
        0.822924,
        0.823546,
        0.795027,
        0.734615,
        0.729464,
        0.77428,
        0.807731,
        0.830561,
        0.804722,
        0.805871,
        0.838666,
        0.886484,
        0.823963,
        0.782426,
        0.818009,
        0.809433,
        0.776253,
        0.788901,
        0.800125,
        0.848485,
        0.857624,
        0.800915,
        0.838346,
        0.912823,
        0.872255,
        0.786535,
        0.771573,
        0.838876,
        0.847592,
        0.819669,
        0.811428,
        0.840353,
        0.909135,
        0.817344,
        0.796941,
        0.796465,
        0.802328,
        0.797943,
        0.812507,
        0.85561,
        0.825544,
        0.848523,
        0.859224,
        0.865736,
        0.887588,
        0.888016,
        0.868133,
        0.864544,
        0.84523,
        0.855615,
        0.870433,
        0.844394,
        0.824651,
        0.877036,
        0.857422,
        0.866734,
        0.874144,
        0.860164,
        0.841181,
        0.841248,
        0.915662,
        0.915706,
        0.880231,
        0.843345,
        0.829338,
        0.836928,
        0.835482,
        0.862037,
        0.851509,
        0.866397,
        0.880794,
        0.860985,
        0.849881,
        0.832898,
        0.950396,
        0.878457,
        0.844926,
        0.859116,
        0.856667,
        0.827878,
        0.865739,
        0.865136,
        0.824559,
        0.813525,
        0.832596,
        0.846564,
        0.832624,
        0.853471,
        0.814207,
        0.801319,
        0.806241,
        0.800779,
        0.77162,
        0.745047,
        0.818604,
        0.830803,
        0.829593,
        0.808003,
        0.787032,
        0.795067,
        0.802543,
        0.815687,
        0.801336,
        0.798429,
        0.784702,
        0.760392,
        0.761286,
        0.82676,
        0.762947,
        0.73553,
        0.742299,
        0.749773,
        0.736056,
        0.72905,
        0.763442,
        0.792452,
        0.722802,
        0.705603,
        0.723783,
        0.732867,
        0.723577,
        0.776249,
        0.765651,
        0.753202,
        0.741997,
        0.735834,
        0.731917,
        0.735574,
        0.720348,
        0.708495,
        0.704792,
        0.713755,
        0.70797,
        0.669608,
        0.681811,
        0.73342,
        0.714946,
        0.699848,
        0.681837,
        0.68103,
        0.710774,
        0.75129,
        0.67372,
        0.702401,
        0.745543,
        0.752525,
        0.736961,
        0.741469,
        0.763768,
        0.670266,
        0.691666,
        0.694124,
        0.692762,
        0.698626,
        0.726051,
        0.75823,
        0.706909,
        0.728804,
        0.750812,
        0.768668,
        0.77321,
        0.74984,
        0.748477,
        0.7243,
        0.732879,
        0.737752,
        0.746851,
        0.763608,
        0.729994,
        0.782115,
        0.782577,
        0.743827,
        0.742274,
        0.758196,
        0.793359,
        0.822727,
        0.784875,
        0.749294,
        0.763144,
        0.781144,
        0.79181,
        0.78532,
        0.724298,
        0.740156,
        0.761138,
        0.75782,
        0.777922,
        0.82638,
        0.839024,
        0.764954,
        0.823279,
        0.845022,
        0.810301,
        0.788146,
        0.793934,
        0.795146,
        0.830593,
        0.804439,
        0.791353,
        0.819324,
        0.818391,
        0.823382,
        0.79145,
        0.785896,
        0.774066,
        0.822581,
        0.831628,
        0.85906,
        0.869779,
        0.816425,
        0.768841,
        0.843494,
        0.818083,
        0.846082,
        0.840246,
        0.800337,
        0.763058,
        0.757902,
        0.73661,
        0.763847,
        0.79864,
        0.796015,
        0.798046,
        0.783134,
        0.779721,
        0.731749,
        0.751662,
        0.715332,
        0.750763,
        0.806227,
        0.775791,
        0.760824,
        0.742915,
        0.77945,
        0.801155,
        0.78635,
        0.764143,
        0.777704,
        0.690923,
        0.733218,
        0.801105,
        0.74556,
        0.696627,
        0.694455,
        0.687703,
        0.696555,
        0.719578,
        0.692177,
        0.714673,
        0.722627,
        0.71133,
        0.706709,
        0.696467,
        0.634736,
        0.632625,
        0.626783,
        0.633507,
        0.636588,
        0.669696,
        0.693202,
        0.666679,
        0.627609,
        0.603044,
        0.613292,
        0.603385,
        0.571706,
        0.593423,
        0.580572,
        0.611576,
        0.59203,
        0.583447,
        0.616625,
        0.626732,
        0.560548,
        0.54957,
        0.580856,
        0.589036,
        0.59066,
        0.598652,
        0.555446,
        0.491503,
        0.511368,
        0.528647,
        0.50244,
        0.504093,
        0.545241,
        0.574789,
        0.56059,
        0.528893,
        0.513036,
        0.495928,
        0.506062,
        0.509777,
        0.485821,
        0.529926,
        0.493769,
        0.48976,
        0.526337,
        0.532542,
        0.514029,
        0.495279,
        0.426014,
        0.480728,
        0.482176,
        0.48597,
        0.466843,
        0.426939,
        0.4116,
        0.452714,
        0.472142,
        0.471098,
        0.467762,
        0.484346,
        0.490384,
        0.473043,
        0.43016,
        0.443958,
        0.486802,
        0.498325,
        0.492412,
        0.472743,
        0.468354,
        0.462259,
        0.421292,
        0.392724,
        0.418005,
        0.44981,
        0.414028,
        0.383977,
        0.461341,
        0.397675,
        0.411932,
        0.436218,
        0.43652,
        0.440716,
        0.441094,
        0.404518,
        0.33981,
        0.370212,
        0.359946,
        0.331419,
        0.348442,
        0.404591,
        0.381728,
        0.331573,
        0.369592,
        0.364136,
        0.360502,
        0.381952,
        0.360977,
        0.389012,
        0.41866,
        0.384726,
        0.373249,
        0.391635,
        0.369768,
        0.368783,
        0.386948,
        0.399061,
        0.384446,
        0.386874,
        0.381384,
        0.349984,
        0.406005,
        0.50449,
        0.392824,
        0.332214,
        0.340572,
        0.336937,
        0.313943,
        0.387633,
        0.44816,
        0.394201,
        0.239195,
        0.249063,
        0.424732,
        0.370223,
        0.361645,
        0.379273,
        0.336158,
        0.320713,
        0.347884,
        0.39927,
        0.434068,
        0.193541,
        0.214759,
        0.308488,
        0.290796,
        0.265878,
        0.339526,
        0.405167,
        0.334602,
        0.329251,
        0.26947,
        0.26725,
        0.273911,
        0.250016,
        0.259972,
        0.383603,
        0.355397,
        0.317328,
        0.283605,
        0.268748,
        0.305172,
        0.385991,
        0.237691,
        0.25479,
        0.298896,
        0.293925,
        0.301366,
        0.362539,
        0.419117,
        0.358191,
        0.416511,
        0.256067,
        0.206587,
        0.26681,
        0.312419,
        0.288181,
        0.358133,
        0.362913,
        0.391713,
        0.345007,
        0.319043,
        0.341061,
        0.316206,
        0.282067,
        0.33182,
        0.315738,
        0.427826,
        0.451655,
        0.365832,
        0.344758,
        0.214246,
        0.235199,
        0.220587,
        0.285321,
        0.350794,
        0.330978,
        0.248241,
        0.241469,
        0.375599,
        0.347313,
        0.341473,
        0.319319,
        0.254247,
        0.205253,
        0.284439,
        0.213614,
        0.192505,
        0.244023,
        0.295467,
        0.270458,
        0.182242,
        0.185808,
        0.0857673,
        0.213505,
        0.274608,
        0.245737,
        0.189449,
        0.205487,
        0.379315,
        0.358299,
        0.330985,
        0.345261,
        0.379849,
        0.3704,
        0.333307,
        0.415188,
        0.153442,
        0.316991,
        0.265771,
        0.27735,
        0.344082,
        0.319238,
        0.22196,
        0.249392,
        0.266864,
        0.232765,
        0.237589,
        0.303305,
        0.356823,
        0.299561,
        0.20912,
        0.206032,
        0.252821,
        0.284844,
        0.259889,
        0.231985,
        0.295413,
        0.274386,
        0.307994,
        0.339495,
        0.201104,
        0.248333,
        0.217977,
        0.270469,
        0.361261,
        0.320988,
        0.332685,
        0.291551,
        0.278031,
        0.204341,
        0.152141,
        0.180836,
        0.227049,
        0.093489,
        0.289425,
        0.283417,
        0.22408,
        0.249883,
        0.27832,
        0.207942,
        0.211002,
        0.378871,
        0.293317,
        0.317166,
        0.193301,
        0.132326,
        0.301067,
        0.289141,
        0.320286,
        0.343013,
        0.310886,
        0.219257,
        0.218235,
        0.335882,
        0.336545,
        0.20516,
        0.167404,
        0.218532,
        0.226248,
        0.221571,
        0.259159,
        0.328653,
        0.451131,
        0.335014,
        0.164428,
        0.217447,
        0.254721,
        0.217571,
        0.272301,
        0.147938,
        0.230375,
        0.309647,
        0.383258,
        0.386913,
        0.307069,
        0.214311,
        0.236978,
        0.29495,
        0.183409,
        0.118307,
        0.155746,
        0.203494,
        0.13423,
        -0.0384723,
        -0.0382607,
        -0.134359,
        -0.111374,
        -0.0615751,
        0.0304945,
        0.143588,
        0.0908795,
        0.10547,
        -0.115392,
        0.0774411,
        0.291847,
        0.344947,
        0.327795,
        0.386954,
        0.187332,
        0.225859,
        0.124513,
        0.324317,
        0.528338,
        0.484365,
        0.445749,
        0.882951,
        0.663097,
        -0.0916718,
        0.00492605,
        -0.0327065,
        0.0223005,
        0.268913,
        0.244377,
        0.225602,
        0.242633,
        0.302054,
        0.422063,
        0.541076,
        0.238952,
        0.239547,
        0.262819,
        0.283104,
        0.350489,
        0.444539,
        0.402234,
        0.339665,
        0.221221,
        0.319888,
        0.419413,
        0.421964,
        0.35404,
        0.297344,
        0.447382,
        0.457072,
        0.414093,
        0.391519,
        0.416188,
        0.392479,
        0.224046,
        0.205476,
        0.311232,
        0.365014,
        0.438566,
        0.40305,
        0.301015,
        0.290558,
        0.304767,
        0.4208,
        0.495807,
        0.399,
        0.30267,
        0.339339,
        0.464128,
        0.469889,
        0.394011,
        0.431822,
        0.404444,
        0.384342,
        0.379269,
        0.371488,
        0.3666,
        0.314586,
        0.380203,
        0.445126,
        0.458921,
        0.475261,
        0.48968,
        0.440003,
        0.425727,
        0.471764,
        0.475481,
        0.412552,
        0.420085,
        0.474186,
        0.470711,
        0.498194,
        0.396682,
        0.530554,
        0.524442,
        0.508048,
        0.445266,
        0.302306,
        0.296862,
        0.261756,
        0.380664,
        0.407877,
        0.433151,
        0.459157,
        0.492812,
        0.507665,
        0.50895,
        0.507149,
        0.545772,
        0.54064,
        0.501462,
        0.485618,
        0.489128,
        0.526755,
        0.510433,
        0.489582,
        0.55874,
        0.576321,
        0.560259,
        0.563682,
        0.589646,
        0.553668,
        0.511025,
        0.490123,
        0.470081,
        0.597302,
        0.622024,
        0.61354,
        0.577695,
        0.556592,
        0.55882,
        0.511706,
        0.503801,
        0.544948,
        0.442162,
        0.506402,
        0.658161,
        0.684245,
        0.709089,
        0.588733,
        0.563944,
        0.619046,
        0.626751,
        0.56233,
        0.595699,
        0.54831,
        0.61367,
        0.649508,
        0.656324,
        0.605919,
        0.646835,
        0.670125,
        0.620289,
        0.688456,
        0.66873,
        0.612072,
        0.60606,
        0.596128,
        0.644815,
        0.684704,
        0.658881,
        0.636586,
        0.630424,
        0.694981,
        0.698898,
        0.705278,
        0.751305,
        0.728114,
        0.663549,
        0.717417,
        0.706957,
        0.703119,
        0.73711,
        0.710356,
        0.705943,
        0.680915,
        0.699488,
        0.72273,
        0.748348,
        0.699018,
        0.676347,
        0.697184,
        0.762253,
        0.746892,
        0.668845,
        0.675318,
        0.720089,
        0.786846,
        0.739352,
        0.754604,
        0.770448,
        0.726512,
        0.714688,
        0.720872,
        0.750919,
        0.749877,
        0.739033,
        0.770391,
        0.758659,
        0.748598,
        0.737883,
        0.677069,
        0.726625,
        0.763851,
        0.784566,
        0.837548,
        0.817213,
        0.755129,
        0.783485,
        0.826768,
        0.772467,
        0.756786,
        0.778255,
        0.823179,
        0.711832,
        0.718295,
        0.700878,
        0.735974,
        0.78967,
        0.734774,
        0.638884,
        0.887144,
        0.564226,
        0.697317,
        0.622426,
        0.853277,
        0.865048,
        0.801606,
        0.746278,
        0.730116,
        0.767192,
        0.794404,
        0.662231,
        0.758712,
        0.771209,
        0.787165,
        0.753567,
        0.710418,
        0.713589,
        0.658307,
        0.802454,
        0.78555,
        0.767047,
        0.760895,
        0.802371,
        0.837614,
        0.783511,
        0.744677,
        0.710967,
        0.70389,
        0.767771,
        0.774669,
        0.738963,
        0.737793,
        0.783239,
        0.776244,
        0.898748,
        0.826301,
        0.819959,
        0.824282,
        0.772731,
        0.749707,
        0.71558,
        0.737961,
        0.77115,
        0.727812,
        0.742215,
        0.760587,
        0.759737,
        0.768673,
        0.739432,
        0.85031,
        0.867663,
        0.822954,
        0.882404,
        0.883618,
        0.783132,
        0.940625,
        0.706018,
        0.72493,
        0.737572,
        0.717535,
        0.759132,
        0.825457,
        0.77862,
        0.817105,
        0.793829,
        0.776173,
        0.786368,
        0.819274,
        0.825849,
        0.798,
        0.824764,
        0.843224,
        0.835472,
        0.817558,
        0.808338,
        0.814237,
        0.823272,
        0.851302,
        0.776129,
        0.744808,
        0.725926,
        0.760315,
        0.755482,
        0.779448,
        0.800873,
        0.741845,
        0.811656,
        0.758082,
        0.777212,
        0.706944,
        0.758062,
        0.769051,
        0.829922,
        0.958062,
        0.900216,
        0.774131,
        0.928917,
        0.802176,
        0.572752,
        0.641154,
        0.753443,
        0.685158,
        0.733501,
        0.865771,
        0.848215,
        0.807256,
        0.83227,
        0.838169,
        0.872084,
        0.798822,
        0.737954,
        0.68365,
        0.546771,
        0.402142,
        0.278325,
        0.169412,
        0.161348,
        0.241588,
        0.331842,
        0.377252,
        0.31613,
        0.304543,
        0.519835,
        0.637845,
        0.768668,
        0.847927,
        0.872225,
        0.939178,
        0.959633,
        0.932231,
        0.891962,
        0.966798,
        0.925662,
        0.921027,
        0.941147,
        0.941745,
        0.866374,
        0.774287,
        0.911486,
        0.85748,
        0.875508,
        0.877037,
        0.902387,
        0.951744,
        0.775473,
        0.94343,
        0.809932,
        0.863439,
        0.967844,
        0.881315,
        0.866804,
        0.879504,
        0.899504,
        0.876927,
        0.83852,
        0.842825,
        0.903626,
        0.825076,
        0.911992,
        0.93803,
        0.903458,
        0.860425,
        0.872972,
        0.912023,
        0.865579,
        0.836327,
        0.815997,
        0.806198,
        0.826698,
        0.845466,
        0.814696,
        0.837836,
        0.814437,
        0.851329,
        0.851932,
        0.867364,
        0.864336,
        0.83548,
        0.809252,
        0.815237,
        0.779979,
        0.807871,
        0.835657,
        0.833878,
        0.799537,
        0.779478,
        0.791566,
        0.835267,
        0.840581,
        0.839793,
        0.829878,
        0.786724,
        0.809306,
        0.858987,
        0.867018,
        0.868636,
        0.804128,
        0.824964,
        0.847714,
        0.84602,
        0.884054,
        0.857045,
        0.801515,
        0.769908,
        0.750193,
        0.833811,
        0.836818,
        0.881681,
        0.849364,
        0.822584,
        0.86957,
        0.857437,
        0.891566,
        0.825493,
        0.816872,
        0.802326,
        0.83816,
        0.861505,
        0.849123,
        0.891943,
        0.83943,
        0.907667,
        0.88997,
        0.856323,
        0.854851,
        0.867357,
        0.886294,
        0.92171,
        0.874378,
        0.892764,
        0.88931,
        0.960331,
        0.940435,
        0.887963,
        0.888787,
        0.928562,
        0.994752,
        0.961249,
        0.937237,
        0.936505,
        0.9476,
        0.942456,
        0.954436,
        0.994969,
        0.930628,
        0.964729,
        0.980533,
        1.0356,
        1.02068,
        0.998275,
        1.01308,
        1.0253,
        0.998815,
        0.91752,
        0.945558,
        0.935722,
        0.936969,
        0.941591,
        0.941038,
        0.91299,
        0.825738,
        0.838913,
        0.960676,
        0.923896,
        0.921511,
        0.93971,
        0.930849,
        0.89983,
        0.889231,
        0.868984,
        0.912645,
        0.905587,
        0.921772,
        0.953242,
        0.956682,
        0.941313,
        0.943565,
        0.872299,
        0.880027,
        0.874059,
        0.835609,
        0.833793,
        0.858497,
        0.856864,
        0.824987,
        0.850022,
        0.836003,
        0.854378,
        0.814976,
        0.803634,
        0.802649,
        0.731346,
        0.655625,
        0.851991,
        0.829059,
        0.831746,
        0.79914,
        0.779485,
        0.766608,
        0.782555,
        0.820375,
        0.809254,
        0.808864,
        0.848005,
        0.818551,
        0.819806,
        0.815236,
        0.805918,
        0.810747,
        0.816235,
        0.795671,
        0.783415,
        0.810797,
        0.844999,
        0.860099,
        0.822013,
        0.812795,
        0.888909,
        0.831369,
        0.821226,
        0.76372,
        0.825638,
        0.872387,
        0.829217,
        0.781293,
        0.821602,
        0.858722,
        0.855505,
        0.834134,
        0.85981,
        0.861788,
        0.883636,
        0.889576,
        0.859324,
        0.851881,
        0.790009,
        0.856845,
        0.835263,
        0.835666,
        0.870879,
        0.875415,
        0.842742,
        0.833277,
        0.834134,
        0.773285,
        0.818485,
        0.796951,
        0.817268,
        0.841423,
        0.840083,
        0.841983,
        0.863763,
        0.850044,
        0.867556,
        0.879398,
        0.883263,
        0.88604,
        0.86771,
        0.82518,
        0.807015,
        0.863921,
        0.855011,
        0.892186,
        0.865821,
        0.834953,
        0.818723,
        0.827733,
        0.8654,
        0.870511,
        0.801355,
        0.870646,
        0.933791,
        0.910802,
        0.888827,
        0.890338,
        0.881247,
        0.874512,
        0.856816,
        0.883085,
        0.87951,
        0.860153,
        0.885056,
        0.907351,
        0.892388,
        0.883998,
        0.901973,
        0.901867,
        0.937602,
        0.935037,
        0.880872,
        0.856214,
        0.892209,
        0.945788,
        0.968121,
        0.891687,
        0.955344,
        0.93656,
        0.979273,
        0.915742,
        0.903024,
        0.897502,
        0.913235,
        0.95728,
        0.964032,
        0.973486,
        0.973664,
        0.928214,
        0.898467,
        0.947927,
        1.01683,
        0.960616,
        0.923493,
        0.946057,
        0.967057,
        0.968339,
        0.94062,
        0.925451,
        0.952532,
        0.944528,
        0.90242,
        0.942847,
        0.923214,
        0.916916,
        0.908715,
        0.92393,
        0.955814,
        0.944834,
        0.964507,
        0.923484,
        0.891352,
        0.91022,
        0.892096,
        0.833534,
        0.817722,
        0.875701,
        0.895138,
        0.878276,
        0.893323,
        0.884632,
        0.856012,
        0.871165,
        0.895461,
        0.888364,
        0.871484,
        0.829966,
        0.887217,
        0.93129,
        0.942479,
        0.884793,
        0.864847,
        0.895929,
        0.890836,
        0.82415,
        0.824285,
        0.876646,
        0.865617,
        0.847256,
        0.853644,
        0.876297,
        0.874027,
        0.836115,
        0.843054,
        0.86847,
        0.908871,
        0.925654,
        0.922594,
        0.908553,
        0.902675,
        0.910527,
        0.911128,
        0.900308,
        0.906222,
        0.911013,
        0.904441,
        0.904023,
        0.946427,
        0.970743,
        0.936093,
        0.983455,
        1.0145,
        0.997385,
        0.967681,
        0.993972,
        1.0224,
        1.01905,
        0.998743,
        0.984409,
        0.968506,
        0.998733,
        0.982727,
        0.995097,
        1.03316,
        1.04583,
        1.01977,
        0.996755,
        1.00775,
        0.963435,
        0.914177,
        0.955296,
        0.940363,
        0.955084,
        0.964131,
        0.962138,
        0.992541,
        1.00875,
        0.963518,
        1.03415,
        0.987776,
        0.99751,
        0.991771,
        1.00162,
        1.06184,
        1.09825,
        1.05781,
        1.0777,
        1.09369,
        1.10293,
        1.14386,
        1.12137,
        1.09503,
        1.11678,
        1.07235,
        0.994086,
        0.896818,
        0.847613,
        0.810021,
        0.690464,
        0.481394,
        0.066276,
        0.198884,
        0.287748,
        0.447946,
        0.528984,
        0.52899,
        0.442009,
        0.487522,
        0.666766,
        0.888355,
        1.03173,
        1.0785,
        1.0465,
        1.08983,
        1.06089,
        1.03729,
        1.03407,
        1.04906,
        1.07024,
        1.07862,
        1.07424,
        1.03274,
        1.12255,
        1.1574,
        1.11657,
        1.04296,
        0.986607,
        0.928824,
        0.648807,
        1.06833,
        1.18542,
        1.00277,
        1.1254,
        1.03833,
        1.02063,
        1.06418,
        1.09561,
        1.08025,
        1.03998,
        1.00892,
        1.0284,
        1.01356,
        1.01676,
        1.03587,
        1.0356,
        1.04617,
        1.03857,
        0.993921,
        1.00423,
        1.0367,
        1.08522,
        1.08126,
        1.02635,
        1.04119,
        1.06437,
        1.05276,
        1.0269,
        1.03986,
        1.04218,
        1.00473,
        1.00392,
        1.04581,
        1.02951,
        0.987534,
        1.01275,
        1.01477,
        1.00223,
        0.998747,
        1.00766,
        1.01857,
        1.01661,
        1.00876,
        0.964122,
        0.951541,
        0.965852,
        0.967037,
        0.988822,
        0.928084,
        0.951156,
        0.972663,
        0.941987,
        0.931927,
        0.912909,
        0.943368,
        0.975505,
        1.00042,
        0.91768,
        0.939788,
        0.957105,
        0.938472,
        0.941152,
        0.943009,
        0.963902,
        1.00907,
        0.971026,
        0.962571,
        0.990043,
        1.01851,
        1.00798,
        0.984877,
        0.98748,
        0.993856,
        1.00145,
        1.03943,
        0.983515,
        1.01153,
        1.04996,
        1.06021,
        0.997195,
        0.966291,
        1.02339,
        1.03506,
        0.994859,
        1.01459,
        1.02291,
        0.999331,
        1.00266,
        1.00923,
        1.00212,
        0.99556,
        0.981587,
        0.993133,
        0.933716,
        0.990856,
        1.0581,
        1.04361,
        1.00584,
        1.00255,
        1.00422,
        1.01656,
        0.996851,
        0.976754,
        0.937543,
        0.953082,
        0.989245,
        0.976802,
        0.928466,
        0.947795,
        0.9606,
        0.917026,
        0.95799,
        0.952233,
        0.972494,
        1.00715,
        1.04479,
        1.0626,
        1.03333,
        1.01722,
        0.974489,
        0.951621,
        0.962316,
        0.988712,
        1.01818,
        1.02564,
        1.00961,
        1.02365,
        1.04437,
        0.999877,
        1.01311,
        1.02651,
        1.02306,
        0.995499,
        0.978133,
        1.01651,
        1.03087,
        1.02183,
        1.05912,
        1.00967,
        1.03614,
        1.05288,
        1.05226,
        1.02444,
        1.04217,
        1.06315,
        1.02719,
        1.05446,
        0.975887,
        0.95807,
        0.944719,
        0.981452,
        1.01278,
        1.05173,
        1.04404,
        1.02732,
        0.968568,
        0.981193,
        1.02565,
        1.09398,
        1.03981,
        1.00906,
        1.04093,
        1.04378,
        1.00801,
        0.986654,
        0.96927,
        1.07734,
        1.01087,
        0.967604,
        1.00528,
        1.00833,
        0.964984,
        1.01683,
        1.06324,
        1.01984,
        1.01321,
        0.993269,
        0.982853,
        1.04514,
        1.04347,
        1.00475,
        1.02245,
        1.08308,
        1.15563,
        1.10132,
        1.06433,
        1.05724,
        1.06304,
        1.05408,
        1.10746,
        1.09752,
        1.06943,
        1.11807,
        1.12463,
        1.07678,
        1.07783,
        1.08951,
        1.06332,
        1.06861,
        1.10582,
        1.09833,
        1.05851,
        1.07878,
        1.03927,
        1.09696,
        1.14555,
        1.19075,
        1.14999,
        1.05768,
        1.02898,
        1.05986,
        1.05327,
        0.914649,
        1.07023,
        1.02076,
        0.958653,
        1.05382,
        1.10444,
        1.00266,
        0.960779,
        1.06457,
        1.02781,
        1.08198,
        1.0782,
        1.08139,
        1.03393,
        1.0437,
        1.06101,
        0.967453,
        0.912615,
        0.884036,
        0.995786,
        0.975849,
        0.957906,
        1.04193,
        1.08493,
        1.09756,
        1.12117,
        1.13104,
        0.965883,
        0.962684,
        0.912324,
        0.877754,
        0.89312,
        0.865088,
        0.897974,
        1.01355,
        1.036,
        0.873031,
        0.96508,
        0.934209,
        0.882358,
        0.847564,
        0.830855,
        0.840904,
        0.947935,
        0.933396,
        0.852732,
        0.92653,
        0.859161,
        0.876412,
        0.90332,
        0.948331,
        0.937207,
        0.891653,
        0.985758,
        0.975282,
        0.875394,
        0.874411,
        0.888975,
        0.852464,
        0.832844,
        0.873625,
        0.923748,
        0.680229,
        0.914062,
        1.02985,
        0.960009,
        0.879167,
        0.883367,
        0.920504,
        0.966724,
        0.938717,
        0.940311,
        0.930943,
        0.880573,
        0.928229,
        0.934076,
        0.934402,
        0.967671,
        0.856687,
        0.84623,
        0.888051,
        0.937747,
        0.982983,
        1.03318,
        0.953875,
        1.00727,
        0.980824,
        0.930898,
        0.974238,
        0.981088,
        0.936716,
        0.92227,
        0.933704,
        1.02421,
        1.01581,
        0.965261,
        0.971959,
        1.02125,
        1.02981,
        1.05143,
        1.11127,
        1.14545,
        1.12141,
        1.13436,
        1.01251,
        0.970847,
        0.977479,
        1.02235,
        1.03691,
        1.11013,
        1.22635,
        1.17808,
        0.989665,
        0.901872,
        1.20069,
        1.06742,
        0.970021,
        0.964412,
        0.98212,
        0.978519,
        0.972637,
        0.979806,
        1.03994,
        0.968884,
        1.03546,
        1.04621,
        1.03663,
        0.995696,
        1.00933,
        1.0725,
        1.04914,
        1.12565,
        1.12048,
        1.09897,
        1.0752,
        1.09157,
        1.12551,
        1.12136,
        1.12305,
        1.17107,
        1.09302,
        1.09953,
        1.10471,
        1.16507,
        1.08726,
        1.09983,
        1.12052,
        1.13123,
        1.16938,
        1.14437,
        1.19271,
        1.15488,
        1.10865,
        1.1082,
        1.12561,
        1.12977,
        1.11899,
        1.14503,
        1.12974,
        1.10985,
        1.12415,
        1.10264,
        1.14481,
        1.16436,
        1.13459,
        1.1062,
        1.06831,
        1.21643,
        1.1226,
        1.12382,
        1.13187,
        1.19417,
        1.1788,
        1.16363,
        1.1726,
        1.1885,
        1.11607,
        1.09304,
        1.10559,
        1.06003,
        1.07975,
        1.08816,
        0.993904,
        0.837739,
        0.643102,
        0.478643,
        0.415578,
        0.484205,
        0.535547,
        0.701451,
        0.700554,
        0.571542,
        0.573911,
        0.60591,
        0.750422,
        0.999413,
        1.11272,
        1.03967,
        1.08529,
        1.16146,
        1.10401,
        1.07704,
        1.13709,
        1.11254,
        1.07993,
        1.15526,
        1.14883,
        1.06282,
        0.987159,
        0.943511,
        0.888775,
        0.893841,
        1.15625,
        0.963646,
        0.808284,
        0.638782,
        0.774416,
        0.900592,
        0.869001,
        0.779704,
        0.740916,
        0.958741,
        0.960657,
        1.1047,
        1.05938,
        0.939357,
        0.953689,
        0.910506,
        0.813116,
        0.919298,
        0.825841,
        1.02312,
        1.02056,
        0.872183,
        0.954936,
        0.990403,
        0.913677,
        0.828881,
        0.75637,
        0.733334,
        1.03678,
        0.908368,
        0.874615,
        0.886149,
        0.917533,
        0.985689,
        1.01585,
        0.944725,
        0.95173,
        0.869323,
        0.883828,
        1.00927,
        1.07351,
        0.992682,
        0.935902,
        1.00684,
        1.05239,
        0.876872,
        0.92451,
        1.05524,
        1.08447,
        0.967696,
        0.993073,
        1.07171,
        1.03847,
        0.970176,
        1.04473,
        1.0976,
        1.04378,
        1.05237,
        1.01444,
        0.935046,
        0.912981,
        1.00114,
        1.09221,
        1.04053,
        1.07199,
        1.11149,
        1.07419,
        0.996382,
        1.00132,
        0.912043,
        0.844643,
        0.772141,
        0.478549,
        0.995265,
        0.784025,
        0.826756,
        0.880502,
        0.901885,
        1.03376,
        1.07175,
        0.981436,
        1.01715,
        0.815686,
        0.977464,
        1.04428,
        1.10023,
        1.0066,
        0.995088,
        1.03412,
        1.03462,
        1.0434,
        1.03154,
        1.03716,
        1.01095,
        1.02748,
        0.885069,
        0.816206,
        0.858353,
        0.925841,
        0.976717,
        1.00554,
        0.992829,
        0.992549,
        1.00049,
        0.99036,
        0.988683,
        0.991251,
        1.01977,
        1.05016,
        1.06066,
        1.00759,
        0.983374,
        0.976136,
        1.00454,
        1.00132,
        0.969445,
        1.02049,
        1.12288,
        0.903507,
        0.976761,
        0.925559,
        0.938994,
        0.981381,
        1.04072,
        1.07735,
        1.06911,
        1.06849,
        1.02873,
        1.10431,
        1.05643,
        1.06089,
        1.06751,
        1.08539,
        1.07716,
        1.06155,
        1.13134,
        1.17327,
        1.21091,
        1.1004,
        1.06608,
        1.0607,
        1.13492,
        1.15529,
        1.07356,
        1.03768,
        1.12408,
        1.14724,
        0.932572,
        0.875118,
        0.914419,
        0.973615,
        0.945499,
        0.972908,
        1.13371,
        1.10879,
        0.959134,
        0.994174,
        1.09479,
        0.986717,
        0.856969,
        0.829516,
        0.847104,
        0.847908,
        0.860813,
        0.879114,
        1.09376,
        1.12287,
        0.912678,
        0.954619,
        0.968731,
        0.969604,
        0.960264,
        0.891677,
        0.935525,
        0.90338,
        0.898867,
        0.888813,
        0.863598,
        0.90061,
        0.925442,
        0.942148,
        1.02184,
        1.1438,
        1.16311,
        1.02343,
        0.94698,
        1.01672,
        1.02087,
        0.920224,
        0.848862,
        0.85844,
        0.831656,
        0.733743,
        0.989811,
        0.9732,
        0.979833,
        0.927034,
        0.964322,
        1.04643,
        1.06347,
        1.00678,
        0.977409,
        1.03313,
        1.10142,
        0.967904,
        0.952567,
        0.920915,
        0.964642,
        1.02753,
        1.03837,
        1.01091,
        0.929779,
        0.938072,
        1.06243,
        1.07353,
        1.01974,
        0.99772,
        1.01967,
        1.03272,
        1.04331,
        1.06163,
        0.89733,
        0.844484,
        0.941745,
        1.0176,
        1.017,
        1.01025,
        0.959059,
        0.924303,
        0.95726,
        0.861792,
        0.896202,
        1.17357,
        1.14539,
        1.03786,
        0.894803,
        0.896577,
        0.91628,
        0.879567,
        0.956454,
        1.0074,
        0.863751,
        0.999328,
        0.959265,
        0.93726,
        0.955887,
        1.01491,
        1.05918,
        1.06182,
        1.08658,
        0.959443,
        0.842984,
        0.984684,
        0.95291,
        0.953345,
        0.946071,
        0.894404,
        0.79948,
        0.71644,
        0.822807,
        0.996301,
        0.909587,
        0.92998,
        0.954087,
        0.924908,
        0.947433,
        0.928954,
        0.807265,
        0.761227,
        0.684431,
        0.478281,
        0.636674,
        0.695528,
        0.775881,
        0.872753,
        0.918882,
        0.954641,
        0.920888,
        0.867465,
        0.891782,
        0.900815,
        0.939841,
        0.909732,
        0.915235,
        0.873922,
        0.820351,
        0.825437,
        1.02869,
        0.94881,
        1.11107,
        1.04289,
        1.03981,
        0.988557,
        1.01629,
        0.954729,
        0.944146,
        0.966528,
        1.02651,
        1.06291,
        1.05682,
        1.03668,
        1.04364,
        1.00228,
        0.988511,
        1.05217,
        1.04447,
        1.05612,
        0.977507,
        0.969965,
        0.998635,
        1.00761,
        0.972737,
        1.08474,
        0.983604,
        1.01218,
        1.01795,
        1.01861,
        1.0997,
        1.12518,
        1.06649,
        1.05826,
        1.1195,
        1.12762,
        1.12521,
        1.02597,
        1.05272,
        0.999467,
        1.01526,
        1.0638,
        1.06976,
        1.06228,
        1.06183,
        1.05083,
        1.05412,
        1.04023,
        1.08798,
        1.06869,
        1.0254,
        1.03346,
        1.07238,
        1.1095,
        1.06744,
        0.988523,
        0.987445,
        1.04244,
        1.19321,
        0.884743,
        1.03149,
        0.900078,
        0.888594,
        1.16389,
        1.14541,
        0.955462,
        0.890331,
        1.09939,
        0.881455,
        0.863656,
        0.9644,
        1.04422,
        1.08655,
        1.11402,
        1.11637,
        1.0473,
        1.15924,
        1.10897,
        1.07592,
        1.09821,
        1.16092,
        1.16894,
        1.13119,
        1.1183,
        1.0712,
        0.988123,
        0.93055,
        0.917033,
        0.882994,
        0.800035,
        0.773798,
        0.760664,
        0.873752,
        0.939717,
        0.878987,
        0.707847,
        0.601544,
        0.810173,
        0.993812,
        1.11201,
        1.14369,
        1.14071,
        1.08711,
        1.11155,
        1.09142,
        1.05254,
        1.0315,
        1.00087,
        1.00154,
        1.05347,
        1.04861,
        1.0422,
        1.01463,
        0.958736,
        1.0117,
        0.968337,
        0.95593,
        0.864089,
        0.876238,
        0.766366,
        0.87102,
        0.96533,
        0.876279,
        0.938753,
        0.948154,
        0.889799,
        0.906711,
        0.945878,
        0.926257,
        0.906967,
        0.949951,
        0.938408,
        0.909568,
        0.916488,
        0.963518,
        0.897233,
        0.843598,
        0.870262,
        0.907483,
        0.907536,
        0.912732,
        0.941183,
        0.927745,
        0.964476,
        0.95688,
        0.975766,
        0.965671,
        0.928953,
        0.916856,
        0.930855,
        0.923903,
        0.973235,
        0.962176,
        0.929429,
        1.00991,
        1.0767,
        0.960008,
        0.918363,
        0.961754,
        0.974986,
        0.979628,
        0.988484,
        1.00707,
        1.00531,
        0.977721,
        0.995234,
        0.991338,
        0.981691,
        1.05824,
        1.04811,
        1.00417,
        0.970642,
        1.02378,
        1.00378,
        1.06888,
        1.07523,
        1.04611,
        0.901204,
        1.02699,
        0.98449,
        0.905654,
        0.886909,
        1.0076,
        1.00853,
        1.00175,
        0.994475,
        1.00894,
        1.02403,
        1.00816,
        1.04174,
        1.04422,
        1.00571,
        1.01952,
        1.09092,
        1.13737,
        1.12469,
        1.06071,
        0.987403,
        1.04313,
        1.07721,
        1.10566,
        1.00569,
        1.04385,
        1.05718,
        1.09304,
        1.09134,
        1.06872,
        1.09065,
        1.05153,
        1.0257,
        1.03713,
        1.08383,
        1.07129,
        1.05525,
        1.04384,
        1.17489,
        1.08251,
        0.962714,
        1.01665,
        1.02928,
        0.938967,
        0.970102,
        1.01749,
        1.07215,
        1.08451,
        1.01835,
        1.10926,
        1.0974,
        1.04187,
        0.986788,
        0.96264,
        1.00678,
        1.00529,
        0.981446,
        1.02769,
        0.99938,
        0.977117,
        1.01409,
        0.950061,
        0.978032,
        1.02009,
        1.02574,
        1.03249,
        1.0133,
        1.04172,
        1.04729,
        0.995009,
        1.00647,
        1.11383,
        1.05573,
        1.033,
        1.04763,
        1.01767,
        1.01084,
        1.05207,
        1.12446,
        1.14124,
        1.05727,
        0.944598,
        1.00732,
        0.985972,
        0.980085,
        1.03912,
        1.11142,
        1.15166,
        1.15677,
        1.09771,
        1.03253,
        1.03341,
        1.07281,
        1.02611,
        1.05167,
        1.08507,
        1.13669,
        1.26438,
        1.30622,
        1.16518,
        0.985099,
        1.02344,
        1.12976,
        1.02681,
        1.01065,
        1.07207,
        1.06534,
        1.05176,
        1.04301,
        1.021,
        1.01231,
        1.03564,
        0.986755,
        0.802056,
        0.838624,
        1.09071,
        1.11877,
        1.08991,
        1.00859,
        1.00006,
        1.02671,
        0.999945,
        1.00571,
        1.00415,
        0.954931,
        0.958376,
        0.99972,
        0.970313,
        0.996491,
        1.04111,
        0.957581,
        1.00811,
        0.952087,
        0.898269,
        0.933317,
        0.949097,
        0.974064,
        0.892784,
        0.898941,
        0.977307,
        1.01475,
        1.05093,
        1.02026,
        1.07832,
        1.06898,
        1.0133,
        1.0278,
        1.07033,
        1.0328,
        0.939062,
        0.979523,
        1.10726,
        1.00741,
        1.009,
        1.07408,
        1.10104,
        1.09076,
        1.07964,
        1.08467,
        1.11453,
        1.09987,
        1.00767,
        1.00414,
        0.926444,
        0.967923,
        0.990326,
        1.07747,
        1.03476,
        1.0391,
        1.11049,
        1.10824,
        1.03104,
        1.05114,
        1.05403,
        1.04678,
        1.07103,
        1.05401,
        1.07266,
        1.06018,
        1.00219,
        0.987352,
        1.05254,
        1.07797,
        1.01583,
        1.02987,
        1.04911,
        1.0016,
        0.984722,
        0.992375,
        1.0095,
        0.953944,
        0.976719,
        1.03741,
        0.988757,
        0.873148,
        0.878951,
        0.999231,
        0.986471,
        1.0312,
        0.803419,
        0.905819,
        0.954281,
        0.959554,
        0.853764,
        1.00515,
        1.05584,
        0.972681,
        0.906186,
        1.01429,
        1.11156,
        1.11648,
        1.12434,
        1.08865,
        1.04528,
        1.13778,
        1.14607,
        1.05353,
        1.05557,
        1.07483,
        1.02686,
        1.00881,
        1.00424,
        0.967338,
        0.95904,
        1.01672,
        1.03671,
        1.02722,
        0.942463,
        1.03075,
        1.09538,
        1.06644,
        1.01183,
        1.01242,
        1.0722,
        1.07055,
        1.03544,
        1.06207,
        1.0268,
        1.1019,
        1.09331,
        0.94486,
        1.04406,
        1.0752,
        1.05518,
        1.02858,
        1.04579,
        1.05252,
        1.04234,
        1.08046,
        1.10926,
        1.04255,
        1.00771,
        1.00527,
        1.01503,
        1.03984,
        0.987212,
        0.969522,
        0.962097,
        0.994647,
        1.03107,
        1.017,
        1.00577,
        0.986802,
        0.981553,
        0.945838,
        1.08908,
        0.905865,
        0.913818,
        0.919437,
        0.949867,
        0.937348,
        0.882087,
        0.872217,
        0.93697,
        1.0251,
        1.02417,
        0.918983,
        0.946488,
        0.954604,
        0.873688,
        0.901656,
        0.882419,
        0.884645,
        0.942026,
        0.965743,
        0.962772,
        1.01232,
        0.986433,
        0.960207,
        0.965287,
        0.938219,
        0.981631,
        0.985125,
        0.899973,
        0.916256,
        0.939319,
        0.893385,
        0.888111,
        0.996915,
        1.08714,
        0.974462,
        0.977861,
        1.00219,
        0.985938,
        0.99365,
        0.993719,
        1.0426,
        1.00503,
        1.00628,
        1.05041,
        1.04167,
        1.07457,
        1.07642,
        1.06996,
        1.06583,
        1.04825,
        1.04505,
        1.07,
        1.07619,
        1.10147,
        1.10829,
        1.04762,
        1.05159,
        1.14162,
        1.06337,
        1.00494,
        1.09536,
        1.07087,
        1.09995,
        1.06426,
        1.05035,
        1.13275,
        1.15735,
        1.19183,
        1.04171,
        0.984611,
        1.05532,
        1.1861,
        1.24673,
        1.20121,
        1.17354,
        1.18282,
        1.1768,
        1.209,
        1.24482,
        1.15986,
        1.14641,
        1.16804,
        1.13064,
        1.07741,
        1.06501,
        1.0814,
        1.0309,
        0.916738,
        0.962607,
        0.965344,
        0.919712,
        1.15422,
        1.28507,
        1.04655,
        0.988596,
        1.0721,
        1.14172,
        1.17849,
        1.14211,
        1.11578,
        1.12319,
        1.11168,
        1.07949,
        1.11155,
        1.18863,
        1.10891,
        1.05449,
        1.08051,
        1.0982,
        1.17826,
        1.08595,
        1.02843,
        1.08104,
        1.13075,
        1.1244,
        1.11479,
        1.13946,
        1.159,
        1.13005,
        1.14091,
        1.08413,
        1.08098,
        1.00595,
        1.13924,
        1.11197,
        1.02613,
        1.07362,
        1.09373,
        1.00786,
        0.983856,
        1.03097,
        1.02135,
        1.02665,
        1.06489,
        1.10625,
        1.02808,
        1.06658,
        1.07727,
        1.06245,
        1.05582,
        1.05082,
        1.05961,
        1.09654,
        1.12745,
        1.12661,
        1.07704,
        1.06972,
        1.08554,
        1.08266,
        1.09598,
        1.04581,
        1.04259,
        1.04505,
        0.996165,
        0.976557,
        1.00861,
        1.00263,
        1.01695,
        1.02895,
        0.927161,
        0.919518,
        0.996628,
        1.13985,
        1.0296,
        1.03863,
        1.04005,
        1.0888,
        1.10827,
        1.03909,
        1.01825,
        0.993826,
        1.10271,
        1.10261,
        1.05099,
        0.939253,
        0.977865,
        1.00471,
        0.987429,
        1.03369,
        1.03354,
        1.0155,
        1.02331,
        1.01693,
        1.02913,
        0.987609,
        0.980728,
        1.05291,
        1.0216,
        1.04207,
        1.09432,
        1.07111,
        1.05196,
        1.06104,
        1.0464,
        1.00336,
        1.01065,
        1.00677,
        1.06788,
        1.00793,
        1.03499,
        1.05466,
        0.955153,
        0.997751,
        1.03039,
        1.03002,
        1.05554,
        1.05522,
        1.04505,
        1.06558,
        1.04583,
        1.04652,
        0.987885,
        1.01431,
        0.975815,
        0.967864,
        0.994345,
        1.0522,
        1.03714,
        1.01529,
        0.994092,
        0.971158,
        0.966788,
        0.980611,
        1.00374,
        1.01882,
        0.951705,
        0.958417,
        0.99553,
        1.01185,
        0.999389,
        1.00805,
        1.02447,
        1.02601,
        1.0103,
        0.953628,
        0.963951,
        1.04986,
        1.01169,
        0.982401,
        0.955167,
        0.969514,
        0.941843,
        0.898143,
        0.914305,
        1.01403,
        0.967142,
        0.951236,
        0.976686,
        0.937791,
        0.934271,
        0.944806,
        0.929785,
        0.963573,
        0.832249,
        0.895059,
        0.838626,
        0.952654,
        0.984425,
        0.970665,
        0.9225,
        0.98545,
        1.01145,
        0.976587,
        0.938226,
        0.918897,
        0.93316,
        0.931212,
        0.913369,
        0.918866,
        1.01391,
        0.948439,
        0.932383,
        0.964869,
        0.98731,
        0.918528,
        0.859058,
        0.974488,
        1.00292,
        1.00174,
        0.963263,
        0.914083,
        0.942846,
        0.969612,
        0.984709,
        0.95391,
        0.977919,
        1.02076,
        1.03446,
        0.995377,
        0.938192,
        0.948806,
        0.987398,
        1.01798,
        1.01388,
        1.02672,
        1.00792,
        0.989535,
        0.992407,
        1.01373,
        0.999997,
        0.950109,
        0.982743,
        1.01128,
        1.00752,
        0.977281,
        0.975169,
        0.951729,
        0.927155,
        0.931365,
        1.05482,
        1.00128,
        0.967578,
        0.963847,
        1.01069,
        1.0187,
        0.914944,
        0.939518,
        0.929234,
        0.841174,
        0.85787,
        0.919331,
        0.963416,
        1.02738,
        0.984626,
        0.970834,
        0.989228,
        1.00444,
        0.97911,
        1.02549,
        1.10703,
        1.06656,
        1.03614,
        1.02506,
        0.957654,
        0.933137,
        0.968009,
        1.01575,
        0.998723,
        0.946769,
        1.00132,
        0.952247,
        0.96191,
        0.995184,
        0.976338,
        0.977111,
        0.967083,
        0.994516,
        1.02573,
        1.01578,
        1.00166,
        0.97683,
        0.989348,
        1.03142,
        0.97272,
        0.945313,
        0.970966,
        0.992003,
        0.987296,
        0.97596,
        0.974028,
        1.00969,
        1.02243,
        0.997112,
        0.980251,
        0.962061,
        0.976372,
        0.961197,
        0.948409,
        1.04811,
        1.01356,
        1.01572,
        1.01884,
        1.0131,
        1.00582,
        0.982703,
        1.0068,
        1.01695,
        0.981276,
        1.02608,
        1.03457,
        1.04608,
        1.00978,
        0.927082,
        0.895268,
        0.952832,
        0.976896,
        0.967377,
        0.995836,
        1.03338,
        1.01204,
        0.955864,
        0.944086,
        1.00435,
        1.04094,
        0.948212,
        0.932759,
        0.979864,
        0.98864,
        0.975666,
        0.979423,
        1.04571,
        1.04247,
        1.00473,
        0.950906,
        0.884236,
        0.970442,
        1.0355,
        0.97811,
        0.974885,
        0.972803,
        0.998323,
        0.978748,
        0.952275,
        0.937439,
        0.98743,
        0.958212,
        0.959331,
        0.979771,
        1.0098,
        1.01135,
        1.01042,
        1.04211,
        1.03026,
        0.958707,
        0.962699,
        1.00077,
        0.979755,
        0.991823,
        0.978543,
        0.978637,
        0.955319,
        0.917352,
        0.933957,
        0.952776,
        0.968069,
        1.00705,
        0.959042,
        0.866727,
        0.870676,
        0.924173,
        0.913861,
        0.928026,
        0.962238,
        0.968956,
        0.967152,
        0.96591,
        0.949001,
        0.938806,
        0.931675,
        0.923625,
        0.992979,
        1.07199,
        0.9911,
        1.01988,
        0.936288,
        0.94149,
        0.989604,
        1.03137,
        1.02841,
        0.929822,
        0.941442,
        0.984634,
        1.06169,
        1.07651,
        1.00449,
        0.835751,
        0.997272,
        1.02638,
        1.0138,
        0.912355,
        1.17129,
        1.11697,
        0.976801,
        0.987507,
        1.0651,
        1.13319,
        1.15908,
        1.13768,
        1.19131,
        1.11767,
        1.0824,
        1.16804,
        1.16717,
        1.32297,
        1.12858,
        1.16507,
        1.13432,
        1.18234,
        1.23237,
        1.22192,
        1.24562,
        1.22558,
        1.2546,
        1.23025,
        1.21998,
        1.19295,
        1.2006,
        1.2058,
        1.16321,
        1.10527,
        1.13359,
        1.13295,
        1.16422,
        1.31485,
        1.30173,
        1.37845,
        1.39363,
        1.40186,
        1.41784,
        1.36201,
        1.23053,
        1.1929,
        1.26112,
        1.32856,
        1.26517,
        1.14551,
        1.19245,
        1.15162,
        1.10398,
        1.15532,
        1.19171,
        1.19433,
        1.13267,
        1.12463,
        1.05101,
        1.00722,
        1.05213,
        1.12653,
        1.22826,
        1.26132,
        0.902363,
        1.00576,
        0.9922,
        0.94916,
        0.989957,
        1.02334,
        0.904746,
        1.05183,
        1.03328,
        1.04131,
        1.02302,
        1.04285,
        1.01813,
        0.99089,
        0.986054,
        0.955713,
        0.949032,
        0.942186,
        0.89164,
        0.908145,
        0.967541,
        0.876911,
        1.06947,
        1.13009,
        0.978007,
        1.02738,
        0.978453,
        0.977175,
        1.07251,
        0.974897,
        0.962214,
        1.0317,
        0.874686,
        0.775913,
        0.968346,
        1.02614,
        1.10945,
        1.06813,
        1.02399,
        0.952168,
        0.930717,
        0.983467,
        0.949653,
        0.777882,
        0.900147,
        0.943892,
        null,
        0.948752,
        1.07691,
        0.904445,
        0.945042,
        0.815817,
        0.781569,
        0.9813,
        1.16643,
        1.03943,
        0.922685,
        1.13155,
        1.13592,
        1.02676,
        1.16171,
        1.02013,
        0.788278,
        0.87951,
        0.969073,
        0.978525,
        1.06016,
        1.08248,
        1.08279,
        0.974029,
        0.875043,
        1.02429,
        1.11769,
        1.07305,
        0.747441,
        0.688969,
        0.840115,
        0.806875,
        1.01029,
        0.7466,
        0.33193,
        0.722058,
        0.800795,
        1.05629,
        1.11502,
        1.35344,
        0.963558,
        0.904274,
        0.875886,
        0.744639,
        0.938309,
        0.815926,
        0.964571,
        0.921217,
        0.928928,
        1.01809,
        1.02462,
        0.886974,
        0.765705,
        0.919369,
        0.993567,
        1.03133,
        0.971248,
        1.04875,
        1.07455,
        1.14012,
        1.06837,
        1.08576,
        1.11807,
        0.997164,
        0.880173,
        0.877134,
        0.900884,
        0.952543,
        1.00308,
        0.990548,
        1.02063,
        1.09699,
        1.03073,
        1.07054,
        1.00639,
        0.918084,
        0.917102,
        1.07897,
        1.00378,
        0.953008,
        1.07045,
        0.996867,
        0.936552,
        0.830076,
        0.858706,
        0.980689,
        0.992215,
        0.97932,
        0.878857,
        1.05881,
        0.920827,
        0.853846,
        0.852627,
        0.895269,
        0.904277,
        0.843763,
        0.879943,
        0.981225,
        1.03934,
        1.05977,
        1.08293,
        1.05713,
        1.04207,
        1.04754,
        1.03399,
        0.98471,
        0.885056,
        0.957895,
        0.897843,
        0.921867,
        0.943925,
        0.997434,
        1.02073,
        0.969859,
        0.95986,
        1.05844,
        1.10589,
        0.924122,
        1.0823,
        0.932935,
        1.00357,
        1.09228,
        1.13163,
        1.06116,
        1.00437,
        0.963056,
        0.982078,
        1.03875,
        1.04166,
        1.01594,
        1.03793,
        1.07338,
        1.19372,
        1.10583,
        1.19848,
        0.998758,
        1.15456,
        1.19817,
        1.25139,
        1.22492,
        1.13051,
        1.07817,
        1.12349,
        1.12258,
        1.07048,
        1.11045,
        1.07035,
        0.990688,
        1.18913,
        1.04066,
        1.06994,
        1.01764,
        1.06861,
        1.08789,
        1.05428,
        1.07609,
        1.12143,
        1.12434,
        1.07651,
        1.07875,
        1.19641,
        1.23832,
        1.06284,
        1.06802,
        1.11824,
        1.01891,
        1.19841,
        1.13528,
        1.1518,
        0.942876,
        0.943547,
        1.08348,
        1.19582,
        1.1466,
        1.07821,
        1.1172,
        1.10489,
        1.19886,
        1.07719,
        1.05874,
        1.13449,
        1.14353,
        1.21171,
        1.13256,
        1.09231,
        1.03377,
        1.05971,
        1.12461,
        1.14618,
        1.08718,
        1.0678,
        1.19564,
        1.24593,
        1.16415,
        1.17005,
        1.01587,
        0.964617,
        1.06005,
        0.952915,
        1.12026,
        1.16192,
        1.15717,
        1.13581,
        1.13658,
        1.13278,
        1.1235,
        1.17106,
        1.19465,
        1.15695,
        1.23198,
        1.30089,
        1.2075,
        1.10528,
        1.19697,
        1.18047,
        1.1858,
        1.16075,
        1.07822,
        1.15687,
        1.19976,
        1.18531,
        1.20923,
        1.15654,
        1.20544,
        1.26271,
        1.2429,
        1.23099,
        1.06872,
        1.03111,
        1.16749,
        1.1479,
        1.11112,
        1.1445,
        1.13928,
        1.14296,
        1.1428,
        1.10258,
        1.05707,
        1.01738,
        0.998845,
        0.979573,
        0.947359,
        1.19231,
        1.08096,
        1.09979,
        1.20425,
        1.15338,
        1.09596,
        1.21584,
        1.21892,
        1.15507,
        1.09197,
        1.08472,
        1.08958,
        1.10146,
        1.06566,
        1.06781,
        1.13538,
        1.08532,
        1.12981,
        1.05129,
        1.12548,
        1.07398,
        1.12978,
        1.09962,
        1.08046,
        1.12394,
        1.09328,
        1.10987,
        1.02132,
        1.09054,
        1.13247,
        1.09561,
        1.12628,
        1.10223,
        1.08604,
        1.08729,
        1.1162,
        1.08135,
        1.12173,
        1.09766,
        1.12307,
        1.14622,
        1.10424,
        1.13467,
        1.13657,
        1.11427,
        1.19055,
        1.20509,
        1.16981,
        1.21224,
        1.26696,
        1.25665,
        1.2636,
        1.24781,
        1.22221,
        1.2168,
        1.25486,
        1.20339,
        1.13862,
        1.17382,
        1.17024,
        1.30864,
        1.29967,
        1.31663,
        1.33743,
        1.37146,
        1.41533,
        1.42971,
        1.51145,
        1.5037,
        1.38786,
        1.30656,
        1.28001,
        1.24083,
        1.21989,
        1.15941,
        1.1304,
        1.1833,
        1.14031,
        1.05473,
        1.03562,
        1.08165,
        0.984448,
        1.02581,
        1.01847,
        1.09749,
        1.06305,
        1.05266,
        1.07174,
        1.03387,
        1.01686,
        0.998237,
        0.920229,
        1.05818,
        1.07811,
        1.00125,
        0.948234,
        0.986327,
        1.00097,
        1.01273,
        1.04579,
        0.997768,
        0.982477,
        1.04761,
        1.01758,
        0.991655,
        1.00205,
        1.0077,
        1.00616,
        0.964647,
        0.92514,
        0.976278,
        0.991676,
        1.0006,
        0.966587,
        0.964612,
        0.964601,
        0.922915,
        0.934975,
        0.927114,
        0.963178,
        1.00683,
        0.95461,
        0.912356,
        0.946161,
        1.0273,
        0.967476,
        0.99844,
        1.02057,
        0.972238,
        0.962737,
        1.02938,
        1.0561,
        1.04963,
        1.00778,
        1.02842,
        1.06476,
        1.0459,
        1.02149,
        1.03475,
        1.06629,
        1.07805,
        1.09468,
        1.05549,
        0.999533,
        1.03049,
        1.0509,
        1.03243,
        1.09358,
        1.03799,
        1.02414,
        0.998232,
        0.992062,
        1.05375,
        1.01968,
        0.991688,
        1.00015,
        1.03136,
        1.0497,
        1.00836,
        1.01201,
        1.08194,
        1.06179,
        1.07435,
        1.05971,
        1.04569,
        1.09284,
        1.05844,
        0.931931,
        0.961111,
        0.966104,
        0.960132,
        1.00297,
        1.04016,
        1.00747,
        1.00709,
        1.04733,
        1.01005,
        1.00994,
        0.995897,
        0.894078,
        0.806361,
        0.807646,
        0.902088,
        0.938965,
        0.9873,
        1.08443,
        1.11759,
        1.15531,
        1.02909,
        0.997388,
        1.02396,
        1.05588,
        1.1374,
        1.08768,
        0.737422,
        0.833792,
        0.980342,
        0.978492,
        1.04415,
        1.1087,
        1.07955,
        1.0453,
        1.04079,
        1.03432,
        1.01606,
        1.00666,
        1.06835,
        1.07234,
        0.964733,
        0.951073,
        1.02741,
        1.00487,
        1.1164,
        1.10017,
        1.07224,
        1.03025,
        1.05068,
        1.03769,
        1.10917,
        1.05693,
        1.01059,
        0.973123,
        1.02195,
        1.0478,
        1.01672,
        1.05523,
        1.05301,
        1.06051,
        0.994824,
        1.00002,
        1.01692,
        1.00314,
        1.00059,
        0.952197,
        1.05343,
        1.00919,
        0.984097,
        0.986173,
        0.957044,
        1.08286,
        1.10865,
        1.07988,
        1.04963,
        1.05423,
        1.0329,
        0.968439,
        0.914233,
        0.965069,
        1.07032,
        1.0381,
        1.06709,
        1.07549,
        0.997669,
        1.05569,
        1.00618,
        1.02169,
        1.01107,
        1.05711,
        1.09162,
        1.05253,
        0.986207,
        0.945166,
        1.02235,
        1.04542,
        1.08946,
        1.09459,
        1.07685,
        1.10045,
        1.11409,
        1.08679,
        1.06289,
        1.04303,
        1.02051,
        1.03835,
        1.042,
        1.10631,
        1.09232,
        1.13759,
        1.10425,
        1.14226,
        1.16427,
        1.05597,
        1.0692,
        1.23778,
        1.10493,
        1.10491,
        1.1234,
        1.14959,
        1.16928,
        1.14859,
        1.13117,
        1.1138,
        1.09264,
        1.0653,
        1.07349,
        1.15561,
        1.12185,
        1.09139,
        1.15835,
        1.13418,
        1.18944,
        1.15083,
        1.11001,
        1.13057,
        1.09311,
        1.13895,
        1.08827,
        1.12126,
        1.22356,
        1.23301,
        1.17771,
        1.09735,
        1.0719,
        1.11175,
        1.12321,
        1.10161,
        1.11235,
        1.1481,
        1.1958,
        1.05551,
        1.1057,
        1.10802,
        1.19593,
        1.18229,
        1.10008,
        1.12438,
        1.04722,
        1.07594,
        1.13117,
        1.1116,
        1.16311,
        1.18004,
        1.11648,
        1.13707,
        1.13613,
        1.13061,
        1.10492,
        1.09156,
        1.15268,
        1.15484,
        1.09855,
        1.07806,
        1.07709,
        1.14153,
        1.17044,
        1.11281,
        1.1525,
        1.20077,
        1.08086,
        1.04437,
        0.95885,
        1.14428,
        1.23168,
        1.12969,
        1.12027,
        1.06587,
        1.07622,
        1.12728,
        1.16249,
        1.12209,
        1.15955,
        1.1747,
        1.18531,
        1.17002,
        1.10391,
        1.0515,
        1.11152,
        1.11274,
        1.0647,
        1.10255,
        1.07142,
        1.0824,
        1.08614,
        1.15406,
        1.12852,
        1.05153,
        1.0626,
        1.08631,
        1.19857,
        1.11934,
        1.00864,
        1.0356,
        1.04436,
        1.13149,
        1.13021,
        1.13595,
        1.10362,
        1.05205,
        1.05164,
        1.05141,
        1.03566,
        1.04244,
        1.08862,
        1.10448,
        1.0249,
        1.07312,
        1.04854,
        1.06478,
        1.11947,
        0.965854,
        1.03781,
        0.980334,
        0.919051,
        0.910317,
        0.854881,
        0.910276,
        0.882277,
        0.991765,
        1.05451,
        0.970574,
        1.0362,
        1.06764,
        1.01393,
        0.950798,
        0.930647,
        0.957382,
        0.970639,
        0.959376,
        0.97366,
        0.97579,
        0.952056,
        1.04513,
        1.07791,
        0.999481,
        0.935262,
        0.927996,
        0.928344,
        0.993567,
        1.00171,
        0.961567,
        0.966923,
        0.950615,
        1.01136,
        1.00529,
        0.916009,
        0.868418,
        0.925051,
        0.983709,
        0.905079,
        0.828355,
        0.866787,
        0.920928,
        0.942264,
        0.907612,
        0.842181,
        0.868403,
        0.916151,
        0.882998,
        0.894104,
        0.91752,
        0.859496,
        0.871748,
        0.888843,
        0.799774,
        0.898046,
        0.81338,
        0.853186,
        0.901387,
        0.867769,
        0.976074,
        0.986069,
        0.909495,
        0.932648,
        0.9649,
        1.02878,
        0.996906,
        1.0195,
        1.00797,
        0.936279,
        0.932131,
        0.943722,
        0.932642,
        1.00046,
        1.06593,
        1.03536,
        1.06374,
        1.05663,
        1.03898,
        0.966589,
        1.09969,
        1.10187,
        1.06646,
        1.1019,
        0.961444,
        1.11,
        1.13061,
        0.994285,
        1.13571,
        1.15175,
        1.19163,
        1.13293,
        1.10787,
        1.09618,
        1.11094,
        1.18477,
        1.17976,
        1.1426,
        1.14249,
        1.14102,
        1.14936,
        1.15822,
        1.1127,
        1.11031,
        1.19452,
        1.19593,
        1.23245,
        1.26407,
        0.80368,
        1.29746,
        1.09474,
        1.25308,
        1.1715,
        1.11608,
        0.960428,
        0.943306,
        1.04438,
        1.10622,
        1.08491,
        0.952951,
        0.91575,
        0.964962,
        1.10006,
        1.15398,
        1.11848,
        1.01281,
        0.999053,
        0.958151,
        0.870798,
        0.982529,
        0.856223,
        0.855557,
        0.854948,
        0.80382,
        0.798662,
        0.595396,
        0.494961,
        0.755211,
        0.766216,
        0.967152,
        0.985806,
        1.01342,
        1.01329,
        1.02945,
        1.0121,
        1.01785,
        0.987681,
        0.966621,
        0.982644,
        0.953584,
        0.967578,
        1.00834,
        0.99871,
        1.04732,
        1.03544,
        0.91099,
        0.882254,
        0.947677,
        0.939904,
        1.02858,
        0.955559,
        1.00118,
        1.05475,
        1.00375,
        0.989793,
        1.04974,
        1.00528,
        1.02608,
        1.0226,
        1.05151,
        0.974786,
        0.948764,
        1.02527,
        1.07498,
        1.07477,
        1.0871,
        1.03471,
        0.992,
        0.987265,
        0.995673,
        0.994615,
        0.989541,
        0.980527,
        0.991495,
        1.0545,
        1.08166,
        1.01088,
        0.951698,
        0.966411,
        1.03343,
        1.04604,
        0.956856,
        1.0122,
        0.981476,
        1.09207,
        1.01639,
        1.04929,
        1.00361,
        1.08964,
        1.03095,
        1.05474,
        0.999708,
        0.955869,
        0.911854,
        0.961945,
        0.912511,
        1.04486,
        1.01401,
        0.925264,
        0.922443,
        0.900093,
        0.914222,
        0.841104,
        0.884193,
        0.970161,
        0.929944,
        0.952094,
        0.975818,
        0.770404,
        0.840974,
        0.958909,
        0.861544,
        1.03518,
        1.24163,
        0.949957,
        1.10019,
        1.06988,
        1.19033,
        0.962158,
        1.16277,
        1.09228,
        1.04995,
        0.943157,
        0.993336,
        1.00643,
        1.08479,
        1.01303,
        1.03701,
        1.06705,
        1.00688,
        1.00412,
        1.06246,
        1.09419,
        1.01673,
        0.957886,
        0.921097,
        0.953409,
        0.964591,
        0.894995,
        0.928754,
        0.948491,
        0.975749,
        0.874845,
        0.908701,
        0.924358,
        0.864955,
        0.946543,
        1.05514,
        1.00126,
        0.973471,
        0.956236,
        0.990858,
        0.948911,
        0.982198,
        1.04448,
        0.941536,
        0.89974,
        0.941559,
        0.990963,
        0.911945,
        0.905504,
        0.897051,
        0.948897,
        1.00873,
        0.921192,
        0.996569,
        1.00986,
        1.09347,
        1.02011,
        0.863171,
        1.06193,
        1.11355,
        1.05804,
        1.09708,
        1.10877,
        0.987473,
        0.927316,
        0.979605,
        1.05244,
        1.09303,
        1.04625,
        1.04196,
        1.05591,
        1.07295,
        1.06295,
        1.08769,
        1.08137,
        1.03228,
        1.00719,
        0.94463,
        0.915961,
        1.02793,
        1.12604,
        0.976685,
        1.16354,
        1.11606,
        1.11072,
        1.13364,
        1.19604,
        1.12266,
        1.13645,
        1.17822,
        1.12412,
        1.09356,
        1.12938,
        1.19084,
        1.13562,
        1.13043,
        1.13737,
        1.10975,
        1.14808,
        1.15037,
        1.0826,
        0.993318,
        1.01435,
        0.976009,
        0.90448,
        0.94271,
        1.03222,
        1.0882,
        1.08383,
        1.12432,
        1.22831,
        1.15777,
        1.10721,
        1.11426,
        1.08733,
        1.14672,
        1.12198,
        1.11428,
        1.10694,
        1.15002,
        1.12681,
        1.04021,
        1.03762,
        1.13513,
        1.07849,
        1.02722,
        1.03505,
        0.937219,
        1.01788,
        1.07855,
        1.13584,
        1.08985,
        1.08925,
        1.07101,
        1.03823,
        1.08997,
        1.0878,
        1.10628,
        1.14363,
        1.10862,
        1.12565,
        1.16465,
        1.07025,
        1.10195,
        1.12029,
        1.02834,
        1.04062,
        1.01141,
        1.04284,
        1.07525,
        1.10327,
        1.05797,
        1.03923,
        1.06046,
        1.09038,
        1.12776,
        1.15468,
        1.0997,
        1.07089,
        1.03235,
        1.02908,
        1.14386,
        1.17218,
        1.13589,
        1.09921,
        1.09739,
        1.03372,
        1.09428,
        1.08745,
        1.06173,
        1.03236,
        0.992066,
        1.07914,
        0.986948,
        0.968535,
        1.00185,
        1.03144,
        1.04755,
        1.11166,
        1.10465,
        1.08643,
        1.05612,
        0.966031,
        1.05156,
        1.08747,
        1.09194,
        1.05058,
        1.03851,
        1.02728,
        1.00254,
        1.0048,
        0.949753,
        0.990912,
        1.06309,
        1.09395,
        1.06523,
        1.03496,
        1.02853,
        1.01574,
        0.992769,
        1.05452,
        1.06689,
        1.10682,
        1.09735,
        0.998983,
        0.930028,
        0.957371,
        0.965677,
        1.03145,
        1.03642,
        1.01563,
        1.00718,
        1.04375,
        1.02848,
        1.00659,
        1.02331,
        1.00516,
        1.02226,
        1.03625,
        1.0875,
        1.05411,
        0.977719,
        0.98288,
        0.943601,
        0.949705,
        0.962762,
        1.02334,
        0.964605,
        1.00174,
        0.929678,
        0.877293,
        0.915885,
        0.952303,
        0.872956,
        0.85382,
        0.867432,
        0.889797,
        0.852195,
        0.894458,
        0.871402,
        0.891807,
        0.926887,
        0.881929,
        0.845592,
        0.871839,
        0.902156,
        0.776403,
        0.841114,
        0.925371,
        0.886485,
        0.891205,
        0.860834,
        0.887999,
        0.9435,
        0.947663,
        0.898415,
        0.927118,
        0.959338,
        1.06422,
        1.04269,
        0.988007,
        0.99861,
        0.977162,
        1.01099,
        0.981116,
        0.993992,
        1.0034,
        1.01864,
        1.04787,
        1.02429,
        0.983622,
        1.00495,
        1.0591,
        1.10674,
        1.05593,
        1.07983,
        1.11791,
        1.09663,
        1.0657,
        1.06204,
        1.0889,
        1.13294,
        1.10409,
        1.09903,
        1.06885,
        1.02209,
        1.02617,
        1.05235,
        1.06078,
        1.12891,
        1.21078,
        1.12171,
        1.12137,
        1.17318,
        1.20244,
        1.13216,
        1.18885,
        1.19491,
        1.06623,
        1.11549,
        1.05872,
        1.06541,
        1.05731,
        0.881266,
        0.74451,
        0.80174,
        1.0437,
        1.45712,
        1.63246,
        1.62253,
        1.54919,
        1.44018,
        1.28733,
        1.17966,
        1.1715,
        1.10541,
        1.10278,
        1.12602,
        1.1496,
        1.09195,
        0.947902,
        0.982203,
        1.06498,
        1.03362,
        1.05461,
        0.981552,
        1.066,
        1.00583,
        1.04966,
        0.933641,
        0.863594,
        0.839817,
        0.778416,
        1.15092,
        1.05833,
        1.07517,
        1.05208,
        0.94126,
        0.969976,
        1.07198,
        1.02304,
        0.963881,
        1.00099,
        0.954822,
        0.99189,
        0.997778,
        1.02218,
        1.05538,
        1.01919,
        0.982602,
        1.03365,
        1.06754,
        1.09125,
        1.18107,
        1.16964,
        1.04518,
        0.990124,
        0.94481,
        0.981275,
        1.0935,
        1.09649,
        1.13866,
        1.06853,
        1.07175,
        1.10449,
        1.27679,
        1.04345,
        0.950139,
        0.997606,
        0.993565,
        1.0744,
        1.11596,
        1.00187,
        0.934101,
        1.02053,
        0.994689,
        0.839077,
        0.826424,
        0.96,
        1.11354,
        1.08543,
        0.931408,
        0.967702,
        1.09093,
        1.02037,
        1.06066,
        0.96265,
        0.944895,
        1.22833,
        1.01699,
        1.12351,
        1.04643,
        0.974567,
        0.9789,
        1.08354,
        1.09559,
        1.03453,
        0.949456,
        1.00723,
        0.974456,
        1.02249,
        1.01541,
        0.899168,
        0.967745,
        0.949391,
        0.854968,
        0.913645,
        0.962787,
        0.991705,
        1.05811,
        1.07991,
        1.0875,
        0.831723,
        0.598099,
        0.771196,
        1.00099,
        1.04515,
        0.862016,
        0.682728,
        0.78683,
        0.869286,
        0.9595,
        0.941194,
        0.879113,
        1.00366,
        1.03444,
        1.00646,
        1.0725,
        1.06073,
        1.13649,
        0.941362,
        1.13311,
        0.898721,
        0.919015,
        1.13616,
        1.09914,
        1.1584,
        1.18328,
        1.0779,
        0.877934,
        0.941415,
        1.16542,
        1.14779,
        1.01736,
        1.03111,
        1.15031,
        1.09514,
        1.01468,
        1.05611,
        1.05063,
        0.938215,
        0.880952,
        0.902332,
        1.00039,
        1.07132,
        1.08035,
        1.06391,
        0.986434,
        1.01253,
        1.04922,
        0.936844,
        0.894629,
        0.935414,
        1.08753,
        1.01389,
        0.9753,
        1.03267,
        1.06154,
        1.27075,
        1.0573,
        0.967771,
        0.89348,
        0.957839,
        1.05644,
        1.36552,
        1.11535,
        0.909368,
        0.915543,
        0.968985,
        0.945084,
        0.98298,
        1.03608,
        1.02471,
        1.04891,
        1.24673,
        1.13302,
        1.13731,
        1.0844,
        1.00434,
        0.972906,
        0.963256,
        1.01422,
        0.973337,
        1.0472,
        1.01143,
        0.944046,
        0.995362,
        1.12552,
        1.15056,
        1.05906,
        1.11629,
        1.1991,
        1.10189,
        0.974744,
        1.07401,
        1.07463,
        1.08817,
        0.9926,
        1.16274,
        1.13442,
        1.14109,
        1.04063,
        1.02325,
        1.14075,
        1.11184,
        0.857265,
        1.05083,
        1.0095,
        1.05312,
        1.0842,
        1.04785,
        1.04552,
        1.00783,
        1.04788,
        1.06017,
        1.02409,
        1.06458,
        0.955395,
        0.958122,
        1.04404,
        1.01302,
        0.984214,
        0.956266,
        0.992925,
        1.03808,
        0.991656,
        0.885405,
        0.930138,
        0.991532,
        0.954904,
        0.857606,
        0.939137,
        0.869534,
        0.808041,
        0.893182,
        0.887943,
        0.962422,
        1.10793,
        1.03469,
        0.953707,
        0.853254,
        0.904833,
        0.896215,
        0.936104,
        0.900707,
        1.08835,
        0.851618,
        0.934515,
        0.769153,
        0.68214,
        1.05053,
        1.10562,
        1.0129,
        0.915538,
        0.901782,
        0.941945,
        0.923975,
        0.698556,
        0.749402,
        0.870737,
        0.973389,
        0.998928,
        0.814033,
        0.687154,
        0.674819,
        0.802476,
        0.867615,
        1.06589,
        1.21994,
        1.12418,
        0.961995,
        0.891111,
        0.905202,
        0.906645,
        0.868733,
        0.856089,
        0.891263,
        0.999257,
        1.10519,
        0.986887,
        0.89997,
        0.90314,
        0.788257,
        0.877729,
        0.919465,
        1.00107,
        1.07492,
        1.06728,
        0.910667,
        0.97816,
        1.1164,
        1.19232,
        0.988891,
        0.827905,
        0.98436,
        1.06481,
        1.00589,
        0.70673,
        0.914352,
        0.698586,
        1.04007,
        0.801427,
        0.840465,
        0.559277,
        0.757447,
        0.998857,
        0.571706,
        0.341184,
        0.306356,
        0.81898,
        0.873307,
        0.633185,
        0.834348,
        0.534837,
        0.867748,
        1.01416,
        0.833473,
        1.0554,
        0.995604,
        0.988539,
        1.1679,
        0.971853,
        0.959162,
        1.13524,
        0.861761,
        0.690002,
        0.87654,
        0.976498,
        0.963953,
        0.990223,
        1.03211,
        1.00252,
        0.796219,
        0.813417,
        0.971886,
        1.02189,
        0.984667,
        1.09779,
        1.11092,
        0.734738,
        1.18215,
        1.09124,
        1.08706,
        1.0181,
        1.0857,
        0.947359,
        0.935843,
        0.957916,
        1.02046,
        1.15665,
        0.813525,
        0.976479,
        0.596935,
        0.757855,
        0.900155,
        0.817046,
        0.808178,
        0.81569,
        0.992502,
        0.660529,
        0.375696,
        0.397898,
        0.700407,
        0.96815,
        1.03902,
        1.05557,
        0.969189,
        0.80938,
        0.755342,
        1.05493,
        1.07672,
        1.01484,
        0.984363,
        0.924153,
        0.905269,
        1.04738,
        1.24149,
        1.35308,
        1.34052,
        1.30421,
        1.25633,
        1.31446,
        1.31193,
        1.14673,
        1.04338,
        1.08366,
        1.15602,
        1.15895,
        1.13738,
        1.16199,
        0.92126,
        0.770198,
        1.07035,
        1.15918,
        1.09371,
        0.981014,
        1.00851,
        1.025,
        1.03369,
        1.02299,
        1.07552,
        1.33974,
        1.44989,
        1.21431,
        1.12505,
        1.2939,
        1.48395,
        1.34058,
        1.50791,
        1.48881,
        1.2898,
        1.47,
        1.42244,
        1.45039,
        1.52886,
        1.65975,
        1.40843,
        1.23774,
        1.41699,
        1.28083,
        1.19674,
        1.24102,
        1.23283,
        1.32491,
        1.17619,
        1.16371,
        1.0183,
        1.08301,
        1.13424,
        1.25699,
        1.1778,
        1.28055,
        1.27613,
        1.31558,
        1.16869,
        1.15591,
        0.966724,
        1.09973,
        0.512777,
        0.97112,
        0.917238,
        1.14108,
        1.33654,
        1.26801,
        1.07997,
        0.822011,
        0.765535,
        0.86524,
        1.0425,
        1.13491,
        1.13669,
        1.21987,
        1.15637,
        0.999568,
        0.951264,
        0.991351,
        0.951761,
        1.0502,
        1.00223,
        0.979645,
        1.06877,
        1.19788,
        1.16056,
        1.15217,
        1.1806,
        1.15259,
        1.09981,
        1.16884,
        1.17376,
        1.13026,
        1.08121,
        1.14223,
        0.943401,
        0.992342,
        1.10503,
        1.11124,
        1.12368,
        1.03774,
        1.20105,
        1.18613,
        0.972133,
        0.991761,
        0.941204,
        1.02482,
        0.875648,
        0.865443,
        1.00537,
        1.19066,
        1.00022,
        1.03769,
        0.93232,
        0.8879,
        0.882272,
        0.931516,
        0.818862,
        1.02749,
        1.01576,
        1.05014,
        0.980076,
        1.04331,
        1.14108,
        1.10591,
        0.957747,
        1.26713,
        1.00641,
        1.06895,
        1.0749,
        1.2332,
        1.07502,
        1.20666,
        1.20109,
        1.16984,
        1.11857,
        1.05413,
        1.10284,
        1.10309,
        1.13505,
        1.10943,
        1.16175,
        1.14737,
        1.06688,
        1.09479,
        1.04429,
        1.07107,
        0.96355,
        1.01786,
        1.11339,
        1.11261,
        1.05503,
        0.929731,
        1.09999,
        1.11915,
        1.12014,
        1.2663,
        1.24368,
        1.07337,
        1.17848,
        1.22607,
        1.13165,
        1.21172,
        1.16539,
        1.05303,
        1.06597,
        1.00969,
        0.93422,
        0.949412,
        0.929891,
        1.1262,
        1.25121,
        1.23148,
        1.04727,
        1.02989,
        1.12487,
        1.15569,
        1.20816,
        1.1004,
        0.921315,
        1.12433,
        1.23597,
        1.20347,
        1.13978,
        1.2169,
        1.23104,
        1.12839,
        1.00167,
        0.993937,
        1.02838,
        1.17831,
        1.2192,
        1.1884,
        1.06143,
        1.02419,
        1.04157,
        1.08624,
        1.20985,
        1.26268,
        1.27445,
        1.25336,
        1.17218,
        1.11723,
        1.18647,
        1.20926,
        1.0831,
        0.99637,
        1.18339,
        1.19133,
        0.824397,
        0.810534,
        1.07428,
        1.19593,
        1.11569,
        1.17402,
        1.2347,
        1.07027,
        0.948339,
        0.976522,
        1.19297,
        1.26864,
        1.13343,
        0.926004,
        0.883452,
        0.969558,
        1.08161,
        0.979185,
        0.818204,
        1.09816,
        1.11196,
        0.702589,
        1.17616,
        0.898774,
        1.11222,
        1.04337,
        1.38889,
        1.78968,
        1.3734,
        1.03293,
        1.09873,
        1.17091,
        1.23064,
        1.05871,
        0.87845,
        0.797182,
        0.867917,
        0.794013,
        0.683181,
        0.767282,
        0.875025,
        0.989683,
        1.17421,
        null,
        0.63828,
        0.575764,
        0.646907,
        0.731048,
        0.797128,
        0.746061,
        0.733551,
        0.7804,
        1.27033,
        1.34932,
        1.06893,
        0.976646,
        0.938179,
        0.922123,
        0.83901,
        0.685551,
        0.531591,
        0.507249,
        0.536653,
        0.461117,
        0.0882493,
        0.516761,
        1.23639,
        2.17462,
        1.70743,
        1.11888,
        null,
        0.618549,
        1.10455,
        1.04278,
        0.675702,
        0.58536,
        0.644898,
        0.790268,
        0.997223,
        1.06557,
        1.03847,
        0.877268,
        0.956376,
        1.04031,
        1.04988,
        0.808437,
        0.695484,
        0.765146,
        0.722421,
        0.680102,
        0.655954,
        0.836401,
        0.957128,
        1.00957,
        0.887017,
        0.84549,
        0.843301,
        0.844166,
        0.845178,
        0.868057,
        0.941418,
        1.00401,
        0.982294,
        0.828713,
        0.893222,
        0.870273,
        0.715075,
        0.808417,
        0.880649,
        0.927763,
        0.942135,
        0.942713,
        0.932691,
        0.912993,
        0.859879,
        0.82691,
        0.910668,
        0.929129,
        0.892696,
        0.768743,
        0.824139,
        0.920267,
        1.02353,
        1.12018,
        1.05817,
        0.806653,
        0.859935,
        0.868329,
        0.84932,
        0.97497,
        0.958812,
        0.870404,
        0.875115,
        0.888766,
        0.894262,
        0.855593,
        0.913337,
        0.983442,
        1.01191,
        1.17524,
        1.21054,
        1.00051,
        0.990626,
        0.944444,
        0.838443,
        1.04818,
        1.08797,
        0.985594,
        1.11178,
        1.06753,
        0.944657,
        1.00156,
        1.01533,
        0.989782,
        0.897963,
        0.984143,
        1.08911,
        1.12071,
        0.946275,
        0.861764,
        0.987784,
        1.07231,
        1.08654,
        1.02118,
        0.92613,
        0.891854,
        0.908245,
        0.903682,
        0.840153,
        0.779285,
        0.920758,
        0.947625,
        0.913317,
        0.839897,
        0.911323,
        1.02247,
        1.13365,
        1.12609,
        1.1403,
        1.22481,
        1.12777,
        1.01909,
        0.915998,
        1.08322,
        1.18993,
        1.23606,
        1.17249,
        1.05434,
        0.95617,
        1.10509,
        1.08322,
        1.0352,
        1.12707,
        1.10944,
        1.03113,
        0.890621,
        0.970032,
        1.02973,
        1.00275,
        1.07843,
        1.08391,
        1.00622,
        0.958057,
        0.968249,
        1.01273,
        0.958781,
        0.912922,
        0.898168,
        1.00049,
        1.11718,
        1.17706,
        1.04158,
        1.02588,
        1.05054,
        1.09076,
        0.839307,
        0.725647,
        0.875961,
        0.784144,
        0.753141,
        0.802085,
        0.961751,
        1.10773,
        1.16318,
        1.61086,
        1.38146,
        1.02943,
        1.03854,
        0.971546,
        0.912544,
        0.901646,
        0.935576,
        0.987099,
        1.05453,
        0.972056,
        0.901385,
        0.851613,
        0.90279,
        0.944705,
        0.968741,
        0.920758,
        0.972272,
        1.07637,
        1.20107,
        1.04388,
        0.888315,
        0.936551,
        0.916413,
        0.949619,
        1.09857,
        1.09774,
        1.0596,
        0.994793,
        1.03639,
        1.05232,
        1.03818,
        0.946021,
        0.897989,
        0.905187,
        1.06391,
        1.11149,
        1.09282,
        1.01869,
        1.00853,
        1.02981,
        1.07892,
        1.116,
        1.14952,
        1.18065,
        1.01818,
        0.934578,
        0.950639,
        1.03118,
        1.04676,
        1.00326,
        0.918005,
        0.891364,
        0.900111,
        0.907911,
        0.984047,
        1.05113,
        1.00283,
        0.95696,
        0.95468,
        1.0401,
        1.14599,
        1.14246,
        0.977844,
        0.961208,
        0.973849,
        1.00824,
        1.02358,
        1.01708,
        1.00204,
        1.04356,
        1.05115,
        1.04281,
        1.0411,
        1.0875,
        1.13563,
        1.14555,
        1.02668,
        0.960896,
        1.05106,
        1.06508,
        1.07379,
        1.08913,
        1.10117,
        1.13213,
        1.17758,
        1.13974,
        1.13702,
        1.14716,
        1.07865,
        1.01488,
        0.98625,
        1.0795,
        1.04269,
        0.998749,
        1.03959,
        1.05743,
        1.06273,
        1.05479,
        1.01394,
        0.982264,
        0.964824,
        0.991615,
        0.973299,
        0.916182,
        0.851029,
        0.884834,
        0.953066,
        0.895876,
        0.901598,
        0.949739,
        1.04743,
        1.03142,
        0.974997,
        0.89802,
        0.892383,
        0.889322,
        0.873945,
        0.932185,
        0.972095,
        0.984996,
        0.970749,
        0.946199,
        0.919094,
        0.946035,
        0.952652,
        0.941794,
        0.90377,
        0.978131,
        1.06619,
        1.06893,
        1.07032,
        1.05095,
        0.99253,
        0.955119,
        0.878561,
        0.745534,
        0.823482,
        0.989378,
        1.20727,
        0.925472,
        0.872774,
        0.964081,
        0.959673,
        0.969878,
        0.988073,
        1.00958,
        1.01073,
        1.02147,
        1.07042,
        1.05982,
        0.978658,
        0.801012,
        0.895359,
        1.1356,
        1.51806,
        1.80407,
        0.733897,
        0.956753,
        0.780552,
        0.635978,
        0.905458,
        0.817312,
        0.725628,
        0.75348,
        0.972831,
        1.05849,
        0.940983,
        0.943126,
        0.979009,
        1.0353,
        0.940959,
        0.973457,
        1.08192,
        1.12025,
        1.07834,
        1.00584,
        0.961665,
        1.00112,
        1.02287,
        0.941091,
        0.87391,
        0.839657,
        0.85414,
        0.859255,
        0.856812,
        0.848171,
        1.09998,
        1.05621,
        0.787229,
        0.715011,
        0.850413,
        1.03738,
        0.883634,
        0.924356,
        1.01188,
        1.00626,
        1.01541,
        1.0669,
        1.19442,
        1.08983,
        0.971911,
        0.880414,
        0.907648,
        0.94917,
        0.99578,
        0.94773,
        0.754674,
        0.526281,
        0.773266,
        0.966422,
        1.01109,
        0.592074,
        null,
        0.881656,
        1.10949,
        1.17116,
        1.11748,
        1.06777,
        1.1326,
        1.23923,
        1.29321,
        1.06224,
        0.911229,
        1.17273,
        0.979485,
        0.860008,
        1.00824,
        1.09533,
        1.13507,
        1.12461,
        1.07699,
        1.04615,
        1.01932,
        0.920192,
        1.00648,
        1.14382,
        1.07419,
        1.1971,
        1.35527,
        1.42016,
        1.26618,
        1.06017,
        0.850011,
        0.999976,
        0.991896,
        0.728835,
        0.678114,
        0.751625,
        0.912937,
        0.738827,
        1.00733,
        1.0327,
        0.796655,
        0.780585,
        0.868166,
        1.05516,
        1.21851,
        1.55697,
        0.183779,
        0.636836,
        0.811553,
        0.858508,
        0.877283,
        1.02661,
        1.13025,
        1.06387,
        1.01894,
        1.02297,
        1.09341,
        1.14407,
        1.09387,
        0.960191,
        1.01971,
        1.10676,
        1.17523,
        1.01127,
        0.989488,
        1.00294,
        0.903516,
        0.920688,
        0.993763,
        1.11153,
        1.17363,
        1.1362,
        0.956509,
        1.03263,
        1.12362,
        1.20638,
        1.06098,
        1.02994,
        1.07933,
        1.00121,
        1.01171,
        1.05855,
        1.03436,
        1.01007,
        1.00575,
        1.05255,
        1.12336,
        1.13036,
        1.01668,
        1.09443,
        1.1353,
        1.10548,
        1.14828,
        1.13492,
        1.07065,
        1.00566,
        1.0205,
        1.06582,
        0.998565,
        1.03031,
        1.04801,
        0.878016,
        0.948655,
        1.00301,
        0.8736,
        0.982507,
        1.03558,
        0.97027,
        1.05183,
        1.05137,
        0.972546,
        1.01983,
        1.00405,
        0.94816,
        0.917413,
        0.920492,
        0.967213,
        1.11398,
        1.06172,
        0.956623,
        0.879751,
        0.918867,
        0.938078,
        0.887564,
        0.905459,
        0.937271,
        0.977988,
        1.03612,
        0.990494,
        0.880402,
        0.888729,
        0.938788,
        0.983586,
        0.911579,
        0.866342,
        0.870752,
        0.980763,
        0.953496,
        0.930281,
        0.970401,
        0.919587,
        0.894273,
        0.914462,
        0.885411,
        0.883971,
        0.906513,
        0.93984,
        1.00619,
        1.05837,
        0.945912,
        0.922982,
        0.956146,
        1.04775,
        0.918179,
        0.842685,
        0.988699,
        1.08457,
        1.06344,
        0.888946,
        0.891162,
        0.931083,
        0.99427,
        0.999859,
        0.981532,
        0.934635,
        0.812528,
        0.828594,
        0.878153,
        0.831803,
        0.848807,
        0.891548,
        0.949682,
        0.904723,
        1.0668,
        1.06173,
        0.983677,
        0.955021,
        1.00275,
        0.982683,
        0.94559,
        0.927343,
        0.922119,
        0.943151,
        1.02694,
        1.20813,
        1.10133,
        0.928028,
        0.954348,
        0.949353,
        0.931744,
        1.09982,
        0.97036,
        0.97917,
        1.217,
        1.42593,
        0.892788,
        0.868432,
        1.1237,
        1.02221,
        1.07791,
        1.23689,
        1.03415,
        0.915624,
        0.911362,
        0.995493,
        1.11333,
        1.14857,
        1.14109,
        1.05161,
        1.03619,
        0.9735,
        0.876324,
        0.990497,
        1.09621,
        1.04696,
        1.04397,
        1.03982,
        1.02499,
        0.980736,
        0.951115,
        1.0018,
        1.03739,
        0.967687,
        0.954456,
        1.0069,
        0.998836,
        0.964199,
        0.923727,
        0.929972,
        1.00895,
        1.08259,
        1.05231,
        1.05104,
        1.06865,
        1.00781,
        0.977828,
        0.989721,
        1.00093,
        0.958577,
        0.963175,
        0.970774,
        1.04245,
        1.0755,
        1.05516,
        1.0332,
        0.985936,
        0.954763,
        0.981915,
        0.983857,
        0.969193,
        0.973248,
        0.971205,
        0.918751,
        0.897682,
        0.902615,
        0.883763,
        1.01099,
        1.08406,
        1.06665,
        0.978655,
        0.934616,
        0.913956,
        0.923942,
        0.957322,
        0.931705,
        0.957596,
        0.990827,
        0.942643,
        0.951911,
        0.94662,
        0.962298,
        0.924024,
        0.935368,
        0.977321,
        0.992853,
        0.963126,
        0.900369,
        0.851851,
        0.902299,
        0.951584,
        0.919755,
        0.8967,
        0.909225,
        0.945998,
        0.975039,
        0.995845,
        1.02071,
        0.973862,
        0.933686,
        0.903952,
        0.904981,
        0.91626,
        0.990755,
        0.969528,
        0.933585,
        0.929114,
        0.931008,
        0.956371,
        0.922569,
        0.947668,
        0.971945,
        0.967107,
        0.928094,
        0.901061,
        0.881312,
        0.928944,
        0.984136,
        0.986408,
        0.942191,
        0.971732,
        0.992135,
        0.915373,
        0.88396,
        0.904475,
        0.914691,
        0.915748,
        0.934508,
        0.944821,
        0.873726,
        0.889494,
        0.894927,
        0.925966,
        0.923777,
        0.934636,
        0.979081,
        0.943022,
        0.908315,
        0.904314,
        0.918535,
        0.948762,
        0.984267,
        0.951746,
        0.906807,
        0.897871,
        0.961499,
        0.965202,
        0.963623,
        0.969422,
        0.944042,
        0.960309,
        0.864284,
        0.868721,
        0.96196,
        1.01908,
        1.00244,
        0.931562,
        0.844744,
        0.977125,
        1.01305,
        0.953255,
        0.937642,
        1.02769,
        1.10734,
        0.906466,
        0.89342,
        0.914822,
        0.963355,
        0.975979,
        0.810771,
        0.934519,
        1.00361,
        1.05265,
        1.01298,
        0.98657,
        1.00133,
        1.16706,
        1.16643,
        1.04982,
        1.04185,
        1.02546,
        1.02121,
        1.05758,
        1.0499,
        1.06487,
        1.1298,
        1.02109,
        0.94667,
        0.990436,
        1.0615,
        1.09587,
        1.07393,
        1.04339,
        1.06402,
        1.12907,
        1.06997,
        1.06794,
        1.08212,
        1.04208,
        1.06528,
        1.08971,
        1.05604,
        1.08844,
        1.07921,
        0.977395,
        0.970285,
        1.02202,
        1.1023,
        1.02551,
        1.00722,
        1.03274,
        1.07774,
        1.05967,
        1.02103,
        1.09311,
        1.08298,
        1.03386,
        0.946896,
        0.949474,
        0.970909,
        0.984921,
        1.05578,
        1.08235,
        1.041,
        1.09771,
        1.13251,
        1.17214,
        1.16803,
        1.16074,
        1.13728,
        1.10659,
        1.10296,
        1.10757,
        1.07863,
        1.11468,
        1.14594,
        1.1144,
        1.0697,
        1.06532,
        1.12912,
        1.1114,
        1.08537,
        1.04829,
        1.12271,
        1.13755,
        1.13236,
        1.15182,
        1.11426,
        1.07753,
        1.12047,
        1.15501,
        1.16243,
        1.11527,
        1.16393,
        1.1916,
        1.15722,
        1.09931,
        1.10767,
        1.18151,
        1.21252,
        1.21437,
        1.22532,
        1.22061,
        1.2021,
        1.17506,
        1.16701,
        1.14192,
        1.13299,
        1.15752,
        1.18008,
        1.20575,
        1.2384,
        1.30449,
        1.31691,
        1.28314,
        1.24695,
        1.24354,
        1.25418,
        1.19833,
        1.22103,
        1.27477,
        1.33462,
        1.34258,
        1.33287,
        1.31204,
        1.28951,
        1.2803,
        1.29299,
        1.23868,
        1.21941,
        1.23822,
        1.21287,
        1.1871,
        1.16396,
        1.18159,
        1.17356,
        1.16176,
        1.16872,
        1.14784,
        1.14463,
        1.14078,
        1.15591,
        1.16504,
        1.15928,
        1.10685,
        1.09907,
        1.13382,
        1.17087,
        1.15946,
        1.11756,
        1.11136,
        1.13019,
        1.14424,
        1.01686,
        1.01116,
        1.06261,
        1.19093,
        1.11084,
        1.04203,
        1.04452,
        1.07387,
        1.07117,
        1.00508,
        1.04457,
        1.0355,
        0.939603,
        0.906928,
        1.16937,
        1.54678,
        1.528,
        0.9032,
        0.880055,
        0.914542,
        0.935269,
        0.923886,
        0.916004,
        0.896383,
        0.808662,
        0.88217,
        0.939233,
        0.971626,
        0.960029,
        0.929716,
        0.9058,
        0.961655,
        0.894256,
        0.859646,
        0.921144,
        0.935044,
        0.933536,
        0.929766,
        0.879568,
        0.920077,
        1.01714,
        0.996788,
        0.97846,
        0.95046,
        0.902223,
        0.917199,
        0.944367,
        0.908067,
        0.912912,
        0.889003,
        0.860126,
        0.938711,
        0.978457,
        0.950611,
        0.964514,
        0.983576,
        0.975635,
        0.889001,
        0.904096,
        0.943251,
        0.978342,
        0.982944,
        0.970333,
        0.982049,
        0.992306,
        0.983837,
        1.00374,
        0.989476,
        0.944412,
        0.879616,
        0.890409,
        0.917772,
        0.952347,
        0.95437,
        0.940494,
        0.932833,
        0.932592,
        0.928592,
        0.948934,
        0.974716,
        0.984367,
        0.978133,
        0.995105,
        1.00741,
        1.00994,
        0.99413,
        0.912071,
        0.920452,
        0.97908,
        0.996847,
        0.99582,
        0.993783,
        0.990574,
        0.966417,
        0.968444,
        0.975603,
        0.940637,
        0.927354,
        0.917678,
        0.975733,
        0.970747,
        0.907643,
        0.959922,
        0.951042,
        0.920328,
        0.922388,
        0.991663,
        1.02851,
        0.928721,
        0.97226,
        0.99671,
        1.01964,
        1.01868,
        1.01831,
        1.03042,
        1.05813,
        1.04768,
        1.02001,
        0.941099,
        0.923604,
        0.962689,
        1.02923,
        1.05663,
        1.05144,
        0.973097,
        0.987672,
        0.990523,
        0.927371,
        1.01151,
        1.04906,
        1.03478,
        1.04838,
        1.05668,
        1.05226,
        0.970104,
        1.01833,
        1.07205,
        0.995204,
        0.94972,
        0.947141,
        1.00437,
        0.95862,
        0.952294,
        1.01638,
        1.04374,
        1.03174,
        0.98678,
        1.00863,
        0.974564,
        0.939222,
        0.978848,
        0.977197,
        0.959352,
        0.87285,
        0.907228,
        0.955572,
        0.980804,
        0.95508,
        0.964856,
        0.95333,
        0.967594,
        1.00508,
        1.08442,
        0.997529,
        0.931226,
        0.83301,
        0.782237,
        0.812649,
        0.894771,
        1.02001,
        1.03816,
        1.03177,
        1.06234,
        1.10187,
        1.1085,
        1.18614,
        0.939466,
        0.91267,
        1.15641,
        1.30834,
        1.02886,
        1.07856,
        0.958618,
        0.877252,
        0.839432,
        0.807454,
        0.823912,
        0.867862,
        0.980678,
        1.03256,
        1.01585,
        0.968162,
        0.970105,
        0.964968,
        0.930678,
        0.899813,
        0.901215,
        0.960636,
        0.931157,
        0.883993,
        0.827417,
        0.870206,
        0.932201,
        0.989171,
        0.988136,
        0.967005,
        0.943965,
        0.957477,
        0.959306,
        1.02401,
        1.02829,
        0.967547,
        0.932754,
        0.980998,
        0.97101,
        0.967358,
        0.980512,
        1.01294,
        1.01622,
        0.991737,
        0.927646,
        0.847559,
        0.804663,
        0.945361,
        0.985519,
        1.00613,
        1.0573,
        1.08267,
        1.04827,
        0.931268,
        0.920999,
        0.945388,
        0.996598,
        1.01788,
        1.03429,
        1.03165,
        0.942985,
        0.946537,
        0.960316,
        0.897001,
        0.87824,
        0.904695,
        0.994261,
        0.881719,
        0.815209,
        0.826436,
        0.947598,
        1.03807,
        1.09323,
        1.05179,
        1.03975,
        1.04683,
        1.06923,
        1.05224,
        1.02858,
        1.01511,
        1.07603,
        1.11949,
        1.1268,
        1.00996,
        0.907159,
        0.84243,
        1.03132,
        1.08023,
        1.06307,
        1.10934,
        1.09286,
        1.03541,
        0.932592,
        0.96132,
        1.00457,
        1.03429,
        0.987194,
        0.984236,
        1.02746,
        1.00748,
        0.96583,
        0.920883,
        0.934765,
        0.974928,
        1.02352,
        1.06563,
        1.01661,
        0.976811,
        0.98739,
        0.981648,
        0.94724,
        0.883635,
        0.92477,
        0.962628,
        0.990564,
        0.966751,
        0.974669,
        0.986882,
        0.963628,
        0.966484,
        0.951635,
        0.888476,
        0.929282,
        0.940842,
        0.900531,
        0.969662,
        1.02456,
        1.05452,
        0.971372,
        0.946539,
        0.943949,
        0.910618,
        0.901554,
        0.911534,
        0.946429,
        0.946838,
        0.955657,
        0.984199,
        1.07299,
        1.05979,
        0.960317,
        0.972896,
        1.02389,
        1.09575,
        1.15951,
        1.12923,
        1.05846,
        0.971092,
        0.950473,
        0.94482,
        0.942996,
        0.936155,
        0.992427,
        1.0921,
        0.86336,
        0.883265,
        1.03198,
        1.02043,
        0.976056,
        0.922608,
        0.879935,
        1.07569,
        1.28425,
        1.31759,
        1.12749,
        1.02712,
        1.04961,
        1.0942,
        1.1217,
        1.18359,
        1.16182,
        1.03742,
        1.04935,
        1.08506,
        1.12428,
        1.05142,
        1.05138,
        1.08105,
        1.09059,
        1.05107,
        1.03907,
        1.10502,
        1.07222,
        1.0432,
        1.03251,
        0.960725,
        0.981333,
        1.06996,
        1.11203,
        1.0661,
        0.986328,
        0.943497,
        0.991329,
        1.01692,
        0.948579,
        0.958544,
        0.976874,
        0.99354,
        0.981189,
        0.977017,
        0.981817,
        1.00343,
        0.984247,
        0.956453,
        0.969345,
        0.9303,
        0.906378,
        0.944105,
        0.830513,
        0.805862,
        0.922762,
        0.950539,
        0.927112,
        0.868824,
        0.861561,
        0.903328,
        0.973922,
        1.0585,
        1.05203,
        1.01954,
        0.989886,
        0.902204,
        0.886868,
        0.972454,
        0.943066,
        0.931463,
        0.939143,
        0.982803,
        0.984099,
        0.974445,
        1.00115,
        1.02473,
        1.05243,
        1.09049,
        1.08842,
        1.04108,
        0.944152,
        0.988074,
        1.01633,
        1.03193,
        1.04795,
        1.01367,
        0.972569,
        0.997892,
        1.00978,
        1.04062,
        1.11738,
        1.1371,
        1.14739,
        1.15415,
        1.14089,
        1.11603,
        1.09368,
        1.16517,
        1.15992,
        1.15622,
        1.28009,
        1.28045,
        1.26138,
        1.26995,
        1.22961,
        1.21949,
        1.25119,
        1.22968,
        1.25452,
        1.31066,
        1.33418,
        1.35306,
        1.38034,
        1.44205,
        1.3705,
        1.26201,
        1.1468,
        1.20475,
        1.27186,
        1.32502,
        1.22292,
        1.21907,
        1.26691,
        1.18854,
        1.19572,
        1.20463,
        1.10266,
        1.07727,
        1.07522,
        1.08213,
        1.12956,
        1.12893,
        1.07507,
        1.10159,
        1.08949,
        1.06208,
        1.09513,
        1.0686,
        1.05998,
        1.16805,
        1.1914,
        1.17729,
        1.13108,
        1.0627,
        0.99622,
        0.941646,
        1.05576,
        1.1026,
        1.09485,
        1.02643,
        1.04653,
        1.06835,
        1.00916,
        1.03269,
        1.05268,
        1.04318,
        1.0038,
        0.980784,
        0.985601,
        1.12793,
        1.09811,
        0.997118,
        1.01572,
        0.935309,
        0.837569,
        0.775067,
        0.86027,
        0.893152,
        0.824874,
        0.976541,
        0.971093,
        1.07664,
        1.00959,
        1.02936,
        0.952712,
        0.939077,
        1.00471,
        1.02264,
        1.00281,
        0.964497,
        0.962204,
        0.889859,
        0.852543,
        0.985556,
        0.960862,
        0.963235,
        1.0633,
        1.06363,
        1.07785,
        1.10669,
        1.07629,
        1.07938,
        1.07918,
        0.972305,
        0.916755,
        0.905549,
        0.956547,
        0.991972,
        1.0124,
        1.01583,
        1.01058,
        1.03368,
        1.077,
        1.08332,
        1.06847,
        1.05003,
        1.05688,
        0.979383,
        0.936283,
        1.01032,
        0.982706,
        0.970339,
        0.989383,
        1.02387,
        1.05598,
        1.0761,
        1.03115,
        1.07521,
        1.10938,
        1.00443,
        0.994512,
        1.03053,
        1.10568,
        1.0951,
        1.06546,
        1.02618,
        1.0739,
        1.05818,
        1.01393,
        1.02438,
        0.995737,
        0.961512,
        0.946096,
        0.981032,
        1.00306,
        0.994335,
        1.0409,
        1.01582,
        0.944875,
        1.05355,
        1.07334,
        1.04358,
        1.00545,
        1.00189,
        1.02701,
        1.08952,
        1.01918,
        0.972287,
        0.972397,
        0.963733,
        0.966073,
        0.965471,
        0.900816,
        0.902879,
        0.942163,
        1.0039,
        0.977622,
        0.9568,
        0.973313,
        0.974015,
        0.98909,
        1.00774,
        1.01492,
        1.01297,
        1.01544,
        1.02876,
        1.00198,
        0.965995,
        0.933529,
        0.948728,
        0.960672,
        0.969846,
        0.917484,
        0.94769,
        1.0645,
        0.901629,
        0.911963,
        0.961241,
        0.948301,
        0.932449,
        0.931571,
        0.950466,
        0.957568,
        0.990463,
        1.05219,
        1.02223,
        0.963267,
        0.908509,
        0.946044,
        0.983162,
        0.978411,
        0.898803,
        0.875736,
        0.887128,
        0.935693,
        0.921904,
        0.938312,
        0.977771,
        0.979039,
        0.974657,
        0.962099,
        0.904092,
        0.916754,
        0.923191,
        0.952414,
        0.962097,
        0.969176,
        0.951916,
        0.940324,
        0.981917,
        0.998287,
        1.00077,
        0.977725,
        0.978917,
        0.993085,
        0.964963,
        0.962325,
        1.00768,
        1.00109,
        0.988043,
        0.952403,
        0.95891,
        0.955028,
        0.994219,
        1.01294,
        0.964056,
        0.918326,
        0.915763,
        1.00161,
        0.969953,
        0.885594,
        0.976916,
        1.0049,
        1.03642,
        0.994013,
        1.11937,
        1.16403,
        1.04979,
        0.896319,
        1.0365,
        1.10846,
        1.03709,
        1.03961,
        0.886899,
        0.932028,
        1.10122,
        1.10486,
        1.1192,
        1.07148,
        1.01364,
        0.950907,
        0.925964,
        0.990608,
        0.988952,
        1.00196,
        1.02451,
        1.05775,
        1.08632,
        1.08193,
        0.995254,
        1.01429,
        1.03284,
        0.947782,
        1.03869,
        1.10624,
        1.07752,
        1.00023,
        0.944252,
        0.941409,
        1.03717,
        1.0351,
        1.02131,
        1.04683,
        1.05336,
        1.04498,
        1.02225,
        0.945753,
        0.970332,
        1.05173,
        1.00749,
        0.984881,
        0.976571,
        0.984121,
        1.00671,
        1.02772,
        1.05549,
        0.962066,
        0.93295,
        0.984826,
        0.950167,
        0.953649,
        0.986938,
        0.996305,
        0.980797,
        0.996665,
        1.05307,
        0.9441,
        0.936429,
        0.99433,
        0.983299,
        0.939722,
        0.912134,
        0.953442,
        0.954992,
        0.944289,
        1.01904,
        1.02053,
        0.964925,
        0.905992,
        0.966521,
        0.986982,
        0.966681,
        0.907213,
        0.892297,
        0.927219,
        0.962915,
        0.974152,
        0.982863,
        0.962575,
        0.982454,
        0.991271,
        0.976615,
        0.938005,
        0.905499,
        0.920962,
        0.95379,
        1.00452,
        0.98777,
        0.929837,
        0.94886,
        0.986643,
        0.972487,
        0.950869,
        0.956284,
        0.935786,
        0.876681,
        0.959905,
        1.00136,
        0.970867,
        0.928521,
        0.91533,
        0.905221,
        0.93575,
        0.952271,
        0.94313,
        0.944243,
        0.996861,
        1.02661,
        1.00949,
        0.971401,
        0.977933,
        1.00294,
        0.996954,
        0.995036,
        0.954328,
        1.00494,
        1.00248,
        0.979176,
        0.975666,
        0.962697,
        1.01869,
        1.10303,
        1.1049,
        1.07047,
        0.989604,
        1.02456,
        1.0488,
        1.05929,
        1.07231,
        1.08099,
        1.06602,
        1.03514,
        1.08647,
        1.15034,
        1.2054,
        1.09413,
        1.02357,
        1.02573,
        1.09048,
        1.09718,
        1.08644,
        1.11602,
        1.12803,
        1.15603,
        1.1813,
        1.10965,
        1.06966,
        1.07116,
        1.10232,
        1.10116,
        1.09635,
        1.13985,
        1.13338,
        1.14116,
        1.19521,
        1.11585,
        1.09348,
        1.09253,
        1.05041,
        1.00927,
        1.00746,
        1.13999,
        1.22788,
        1.23434,
        1.12444,
        1.00353,
        1.05803,
        1.23107,
        1.26706,
        1.1206,
        1.05608,
        1.04397,
        1.04505,
        0.952729,
        0.951077,
        1.01747,
        1.07016,
        1.06398,
        1.06687,
        1.08207,
        1.17867,
        1.16196,
        1.10977,
        1.09059,
        1.0605,
        1.04391,
        0.998537,
        0.996764,
        1.05037,
        1.06582,
        1.0599,
        1.09498,
        1.0724,
        1.03872,
        1.06256,
        1.09096,
        1.05314,
        1.06724,
        1.05584,
        1.02144,
        1.01159,
        0.992588,
        0.981736,
        0.970475,
        0.949949,
        0.958548,
        0.947891,
        0.982199,
        0.984862,
        0.96039,
        1.00952,
        1.0114,
        1.02004,
        0.993238,
        0.950715,
        0.972354,
        0.948476,
        0.976658,
        1.04765,
        1.07616,
        1.034,
        0.997289,
        0.984673,
        0.98303,
        0.982289,
        0.958022,
        0.972038,
        0.925396,
        0.924213,
        0.985998,
        0.984603,
        0.985226,
        0.968734,
        0.978692,
        1.0424,
        1.06128,
        0.942952,
        0.932773,
        1.00491,
        1.04114,
        1.02525,
        1.02909,
        1.08548,
        1.00511,
        0.971572,
        1.0069,
        1.07792,
        1.01713,
        0.957105,
        0.94882,
        1.01165,
        1.00656,
        0.907349,
        0.929019,
        0.991789,
        1.07017,
        1.16642,
        1.00662,
        0.883258,
        0.961084,
        0.934262,
        0.965551,
        1.01312,
        0.941098,
        0.927814,
        0.935369,
        0.927589,
        1.09875,
        1.28922,
        0.829822,
        0.965094,
        1.15588,
        1.04971,
        0.993314,
        1.09897,
        1.21109,
        1.12412,
        1.01034,
        1.05074,
        1.06667,
        1.03051,
        0.949802,
        1.0549,
        1.08261,
        1.11511,
        0.982473,
        1.06528,
        1.17435,
        1.02445,
        0.98479,
        0.979201,
        1.00981,
        1.0424,
        1.03498,
        1.05836,
        1.00113,
        0.946383,
        0.963341,
        1.01608,
        1.00897,
        0.949439,
        0.979437,
        0.951203,
        0.875505,
        0.920737,
        0.987466,
        0.908422,
        0.90942,
        0.942286,
        0.970747,
        0.863147,
        0.878397,
        0.905189,
        0.820827,
        1.37681,
        1.07279,
        0.809137,
        0.688772,
        0.753917,
        0.914354,
        1.01415,
        1.06244,
        1.06693,
        0.984909,
        0.934268,
        0.983969,
        0.954376,
        0.963774,
        1.00967,
        1.03971,
        1.0378,
        1.02058,
        0.999789,
        0.97984,
        0.987195,
        1.01861,
        0.93398,
        0.808368,
        0.738389,
        0.963063,
        0.955442,
        0.912699,
        0.90437,
        0.942414,
        0.887357,
        0.815318,
        1.02007,
        1.02198,
        0.977416,
        0.975019,
        0.955209,
        0.943783,
        0.940904,
        0.91966,
        0.927545,
        0.961057,
        1.02679,
        0.922358,
        0.899053,
        1.00852,
        0.980869,
        0.947901,
        0.926956,
        0.971512,
        0.962252,
        0.950183,
        0.958791,
        0.961474,
        1.02186,
        1.10987,
        1.079,
        1.02772,
        0.976618,
        0.944962,
        0.936838,
        0.979403,
        1.06496,
        1.01824,
        0.994031,
        0.989284,
        1.00802,
        0.96326,
        0.925387,
        0.913747,
        0.977606,
        1.02952,
        1.02734,
        0.805071,
        0.680254,
        0.670268,
        0.816029,
        0.971163,
        1.0369,
        1.0344,
        1.1142,
        1.13181,
        1.10235,
        1.01888,
        1.05817,
        1.09721,
        1.10962,
        1.04567,
        1.00413,
        0.994399,
        1.04976,
        1.11579,
        1.09033,
        0.927138,
        1.01923,
        1.01137,
        0.935239,
        0.901292,
        0.937691,
        0.99773,
        1.05577,
        1.07115,
        1.04219,
        0.988674,
        1.065,
        1.00151,
        0.924133,
        0.972468,
        0.964795,
        0.989988,
        1.06531,
        1.10076,
        1.08883,
        1.04963,
        1.01951,
        1.11844,
        1.12518,
        0.93149,
        0.938159,
        0.915322,
        0.881425,
        0.93319,
        0.979211,
        1.0212,
        1.0591,
        1.12859,
        1.09962,
        0.976386,
        0.985948,
        0.964146,
        0.945681,
        0.980874,
        0.925429,
        0.911672,
        0.968635,
        0.926421,
        0.886485,
        0.878064,
        0.983612,
        1.05799,
        1.05433,
        0.940332,
        0.895708,
        0.873994,
        0.860289,
        0.787975,
        0.779122,
        0.846872,
        1.02917,
        0.971793,
        0.908258,
        0.880393,
        1.02601,
        1.07157,
        1.05638,
        1.00694,
        0.906493,
        0.80196,
        0.704703,
        0.648208,
        0.698078,
        0.808245,
        0.88455,
        0.950331,
        0.931982,
        0.774478,
        0.737579,
        0.821367,
        0.986899,
        1.06855,
        1.03166,
        1.1168,
        1.55909,
        0.920037,
        -0.00516927,
        0.386801,
        0.597771,
        0.718619,
        0.962508,
        0.884796,
        0.802293,
        0.862739,
        0.794155,
        0.720794,
        0.651371,
        0.604217,
        0.826921,
        1.03931,
        1.02121,
        0.926801,
        0.770116,
        0.587327,
        0.687883,
        0.690379,
        0.723793,
        0.963796,
        0.686463,
        0.571837,
        0.742177,
        null,
        0.67873,
        0.13839,
        0.394429,
        0.552232,
        0.722703,
        1.00937,
        0.904269,
        0.780306,
        0.707968,
        0.924472,
        0.900266,
        0.773571,
        0.699079,
        0.767558,
        0.809207,
        0.787153,
        0.936867,
        0.97556,
        0.901384,
        0.658821,
        0.667608,
        0.728343,
        0.768997,
        0.810074,
        0.934005,
        1.0728,
        0.945899,
        0.820213,
        0.801862,
        0.995737,
        0.980236,
        1.02041,
        1.11884,
        1.12963,
        1.05483,
        0.911744,
        0.691553,
        0.872078,
        0.961201,
        0.890778,
        1.03651,
        1.05571,
        1.01169,
        0.98968,
        1.01689,
        1.02798,
        1.00148,
        1.0229,
        1.01702,
        0.983914,
        0.912824,
        0.938951,
        0.995564,
        1.05565,
        1.14891,
        1.11344,
        0.985465,
        0.969959,
        0.965739,
        1.00858,
        1.14537,
        1.03724,
        0.976186,
        0.997323,
        1.08987,
        1.06376,
        1.00995,
        1.04105,
        1.08367,
        1.06005,
        0.955575,
        1.01395,
        1.06318,
        1.10614,
        1.14655,
        1.12402,
        1.1082,
        1.12708,
        1.11507,
        1.14176,
        1.17213,
        1.06786,
        0.951403,
        0.981673,
        1.30362,
        1.01467,
        0.772836,
        0.647904,
        0.758332,
        0.886797,
        0.983874,
        0.836516,
        0.757826,
        0.759827,
        0.900399,
        0.849237,
        0.819253,
        0.873706,
        0.992401,
        1.01236,
        0.963815,
        0.904642,
        0.890063,
        0.919734,
        1.00346,
        0.979649,
        0.960251,
        0.941634,
        0.881668,
        0.932822,
        0.983128,
        0.942942,
        0.86511,
        0.800759,
        0.765654,
        0.853107,
        0.87321,
        0.904437,
        1.03545,
        0.929995,
        0.844582,
        0.815826,
        0.769469,
        0.82526,
        0.885537,
        0.788521,
        0.855291,
        0.896987,
        0.859435,
        0.889027,
        0.856129,
        0.812152,
        0.896818,
        0.881113,
        0.843838,
        0.817738,
        0.898507,
        0.88357,
        0.821894,
        0.973948,
        0.935,
        0.789531,
        0.792209,
        0.806031,
        0.811309,
        0.804914,
        0.869929,
        0.896793,
        0.904032,
        0.891382,
        0.831408,
        0.815153,
        0.874944,
        0.929944,
        0.923781,
        0.923327,
        0.981042,
        0.967952,
        0.944393,
        0.937251,
        0.962356,
        0.96327,
        0.951297,
        0.963577,
        0.946385,
        0.922442,
        0.884731,
        0.928883,
        0.851531,
        0.815713,
        1.00693,
        0.969385,
        0.94349,
        1.00428,
        0.990649,
        1.02859,
        1.04737,
        0.990642,
        0.942521,
        0.935297,
        0.992096,
        1.00555,
        0.977443,
        0.952735,
        0.926283,
        0.955954,
        0.985745,
        0.994703,
        1.0133,
        0.943466,
        0.867566,
        1.04311,
        1.13098,
        1.10673,
        1.04407,
        1.04789,
        0.953505,
        0.926037,
        0.886798,
        0.915327,
        0.946954,
        0.793135,
        0.928398,
        0.9695,
        0.885314,
        0.966444,
        0.956938,
        1.11477,
        1.24352,
        1.19205,
        1.01724,
        0.989771,
        0.878348,
        0.967208,
        0.850298,
        0.760295,
        0.664241,
        0.656045,
        0.670912,
        1.07556,
        null,
        0.844508,
        1.0505,
        1.12898,
        0.877487,
        0.510641,
        0.416673,
        0.490459,
        0.641847,
        0.849222,
        0.693179,
        0.756449,
        0.866373,
        0.853565,
        0.754634,
        0.736989,
        0.787131,
        0.754041,
        0.68407,
        0.776593,
        0.840665,
        0.884502,
        0.801937,
        0.847974,
        0.864972,
        0.846227,
        0.825229,
        0.811371,
        0.720046,
        0.696345,
        0.781222,
        0.913376,
        0.967907,
        0.978241,
        0.907462,
        0.820034,
        0.851796,
        0.876818,
        0.795194,
        0.779632,
        0.83052,
        0.846079,
        0.823948,
        0.879168,
        0.851039,
        0.856473,
        0.864932,
        0.969321,
        0.975571,
        0.924352,
        0.903789,
        0.84804,
        0.802518,
        0.789697,
        0.81245,
        0.918003,
        0.945316,
        0.95346,
        0.970761,
        0.922234,
        0.908823,
        1.0239,
        0.981862,
        0.937151,
        0.921234,
        0.864948,
        0.968571,
        1.11162,
        1.1278,
        1.0453,
        0.965789,
        0.937741,
        0.897363,
        0.914164,
        0.955561,
        0.94325,
        0.920133,
        0.89908,
        0.867857,
        0.86901,
        0.842131,
        0.820157,
        0.853299,
        0.883832,
        0.908253,
        0.933621,
        0.947844,
        0.97648,
        1.00494,
        0.998061,
        0.927916,
        0.884574,
        0.888269,
        0.916235,
        0.976677,
        0.981272,
        0.884337,
        0.830754,
        0.854779,
        0.860965,
        0.834287,
        0.902159,
        1.00212,
        0.994541,
        0.86435,
        0.820893,
        0.876788,
        0.942392,
        0.997724,
        1.0278,
        0.974415,
        1.03153,
        1.06084,
        0.900394,
        0.663606,
        0.742875,
        0.867176,
        1.07048,
        1.05586,
        0.944228,
        0.854947,
        0.997689,
        0.946931,
        0.868611,
        0.881836,
        0.878621,
        0.916412,
        1.018,
        0.943485,
        0.916345,
        0.936458,
        0.966118,
        0.981508,
        0.993565,
        0.986941,
        0.985441,
        0.974418,
        1.01025,
        1.00854,
        1.03319,
        1.03018,
        0.987647,
        0.963846,
        0.919225,
        0.956464,
        1.0246,
        0.999081,
        0.975513,
        0.967776,
        1.01555,
        1.01633,
        0.954976,
        0.977731,
        1.00609,
        1.01903,
        1.02858,
        1.00167,
        1.00547,
        0.960636,
        0.921941,
        0.921248,
        0.916703,
        0.942771,
        0.984143,
        0.932335,
        0.94957,
        0.949761,
        0.864379,
        0.963556,
        0.978098,
        0.919021,
        0.863543,
        0.862551,
        0.872941,
        0.902884,
        0.98155,
        0.966862,
        0.960836,
        0.885531,
        0.873666,
        0.79445,
        0.756097,
        0.824645,
        0.786484,
        0.468955,
        0.324961,
        1.10326,
        1.12386,
        1.10603,
        0.903495,
        0.795616,
        0.953014,
        1.00564,
        0.959487,
        0.930989,
        0.942061,
        0.901381,
        0.92774,
        0.963875,
        0.978958,
        1.01093,
        1.05879,
        1.07215,
        0.991325,
        0.931357,
        0.949178,
        1.07536,
        0.955917,
        0.948964,
        0.996067,
        0.948929,
        0.951531,
        0.969584,
        0.995171,
        1.03113,
        1.0624,
        1.05941,
        1.01992,
        0.996037,
        0.991019,
        1.02402,
        1.03751,
        1.0715,
        1.09724,
        1.09132,
        1.08105,
        1.11191,
        1.16659,
        1.05772,
        1.01806,
        1.04074,
        1.13296,
        1.1111,
        1.08866,
        1.07809,
        1.16958,
        1.17716,
        1.12579,
        1.02835,
        1.09116,
        1.11536,
        1.09957,
        1.09266,
        1.11297,
        1.1242,
        1.14941,
        1.12829,
        1.14655,
        1.16702,
        1.0797,
        1.10027,
        1.12417,
        1.11282,
        1.08077,
        1.07026,
        1.08541,
        1.11412,
        1.11441,
        1.09954,
        1.1034,
        1.12304,
        1.11506,
        1.08345,
        1.01165,
        1.03526,
        1.06335,
        1.08636,
        1.14352,
        1.18684,
        1.12169,
        1.01611,
        0.958892,
        0.943481,
        0.952495,
        0.991768,
        1.05585,
        1.14546,
        1.10102,
        1.18484,
        1.12114,
        -0.00289447,
        -0.358299,
        0.11074,
        0.979414,
        1.15888,
        1.17599,
        1.00609,
        0.941736,
        0.92245,
        0.943162,
        0.875472,
        0.784089,
        0.77905,
        0.915401,
        1.10276,
        1.04618,
        1.04879,
        1.04283,
        1.0039,
        0.96257,
        0.985592,
        1.03153,
        1.04963,
        0.933238,
        0.930812,
        1.02084,
        1.01953,
        0.964688,
        0.940853,
        0.996679,
        0.948033,
        0.980186,
        0.971034,
        0.897074,
        0.938051,
        0.95951,
        0.961115,
        0.950707,
        0.980841,
        0.959902,
        0.897641,
        0.954466,
        0.918625,
        0.783604,
        0.707932,
        0.822313,
        0.958201,
        0.995192,
        0.998942,
        1.11626,
        1.09637,
        1.01759,
        0.977267,
        0.93345,
        0.883906,
        0.967107,
        1.02132,
        1.04303,
        0.969027,
        0.948546,
        0.95636,
        0.966104,
        0.970945,
        0.987023,
        0.969409,
        0.975569,
        1.01029,
        1.0259,
        1.00244,
        0.980776,
        0.941509,
        0.92362,
        0.943425,
        0.950329,
        0.958378,
        0.958407,
        0.955405,
        0.947111,
        0.947719,
        0.934574,
        0.900665,
        0.87087,
        0.848747,
        0.894519,
        0.942208,
        1.0157,
        0.953382,
        0.92156,
        0.95263,
        1.01366,
        0.998846,
        1.01881,
        1.01252,
        0.986025,
        0.479596,
        0.593466,
        1.00638,
        0.870518,
        0.868509,
        0.93076,
        1.00065,
        1.08221,
        1.10153,
        0.711651,
        0.522031,
        0.602695,
        1.08866,
        1.27309,
        1.22594,
        1.0831,
        1.04028,
        1.05383,
        1.02887,
        0.971098,
        1.21428,
        1.48195,
        1.58368,
        1.26535,
        1.27292,
        1.25569,
        1.17951,
        1.12561,
        1.10708,
        1.1778,
        1.40623,
        1.41401,
        1.3342,
        1.22504,
        1.27055,
        1.14499,
        0.995028,
        0.896016,
        1.01383,
        1.00692,
        0.953136,
        1.0712,
        1.13972,
        1.1775,
        1.19061,
        1.25161,
        1.20033,
        1.09198,
        1.01853,
        1.0391,
        1.04821,
        1.02773,
        1.03767,
        1.09483,
        1.13447,
        1.0712,
        1.04679,
        1.01093,
        0.970325,
        1.02417,
        0.966098,
        0.90448,
        0.925369,
        0.938455,
        0.91505,
        0.874665,
        0.916132,
        0.997226,
        1.01501,
        0.904435,
        1.00502,
        1.07429,
        1.07492,
        0.907226,
        0.888435,
        0.903343,
        0.915947,
        0.890525,
        0.907463,
        0.947556,
        0.981647,
        0.932219,
        0.915351,
        0.95476,
        0.95715,
        0.931418,
        0.90409,
        0.907142,
        0.930496,
        0.947791,
        0.952716,
        0.930463,
        0.944159,
        0.963331,
        0.96291,
        0.97862,
        0.910189,
        0.808777,
        0.926179,
        0.960918,
        0.968609,
        0.974204,
        0.944485,
        0.93486,
        0.934336,
        0.909854,
        0.902929,
        0.906395,
        0.920591,
        1.05271,
        1.02815,
        0.939688,
        0.953844,
        1.00377,
        1.02262,
        0.994134,
        0.949627,
        0.958406,
        0.98455,
        0.987715,
        0.951926,
        0.887533,
        0.822871,
        0.955937,
        0.992288,
        1.00104,
        1.0387,
        1.03898,
        1.01654,
        0.9815,
        0.975414,
        0.987508,
        0.991309,
        0.969895,
        0.983977,
        0.993082,
        0.985228,
        0.919455,
        0.917292,
        0.918921,
        0.903088,
        0.919808,
        0.990146,
        1.05593,
        0.992396,
        0.994865,
        0.985938,
        0.949106,
        0.935035,
        0.962758,
        0.989407,
        0.956642,
        0.911387,
        0.879596,
        0.870024,
        0.928495,
        0.915547,
        0.904532,
        0.95987,
        0.97069,
        0.952864,
        0.923735,
        0.965129,
        1.00318,
        1.01518,
        0.983114,
        1.01739,
        1.00402,
        0.956445,
        0.924325,
        0.949663,
        0.976008,
        0.982835,
        0.93262,
        0.949096,
        0.998921,
        1.02355,
        0.960644,
        0.919032,
        0.928714,
        0.986544,
        0.962865,
        0.927633,
        0.970402,
        0.932381,
        0.928728,
        0.971566,
        0.987003,
        0.976889,
        0.97121,
        0.996842,
        1.001,
        1.00903,
        1.01321,
        0.964366,
        1.02013,
        1.02439,
        0.868535,
        0.935827,
        0.98322,
        1.00815,
        1.0259,
        1.00857,
        1.01095,
        1.05679,
        1.09764,
        1.06109,
        1.01913,
        1.1136,
        1.0789,
        1.03392,
        1.00879,
        0.968451,
        0.929168,
        0.916754,
        0.978948,
        1.07247,
        1.11431,
        1.08675,
        0.965681,
        0.968763,
        0.983332,
        0.910161,
        0.964275,
        0.984594,
        0.972102,
        0.994198,
        1.02798,
        1.04785,
        1.03487,
        1.00472,
        0.984571,
        0.973759,
        0.970501,
        0.984774,
        0.997267,
        0.998759,
        0.919468,
        0.901717,
        0.916673,
        0.915337,
        0.937311,
        0.955891,
        0.964675,
        0.975555,
        0.937578,
        0.898954,
        0.925124,
        0.97019,
        1.01954,
        1.06252,
        1.03388,
        1.05856,
        1.07977,
        1.04273,
        0.990132,
        0.945944,
        0.926391,
        1.00112,
        1.01933,
        1.03476,
        1.07969,
        1.04442,
        1.0079,
        0.973475,
        0.945705,
        0.908989,
        0.897514,
        0.925837,
        0.927439,
        0.889494,
        0.8613,
        0.947835,
        0.975184,
        0.952003,
        0.889349,
        0.948556,
        0.945854,
        0.932626,
        0.978039,
        0.929313,
        0.94952,
        1.04353,
        1.07507,
        1.02078,
        0.957794,
        0.953737,
        1.08752,
        1.14373,
        1.11633,
        1.033,
        1.03041,
        1.03593,
        1.00877,
        1.00828,
        1.01699,
        1.03039,
        1.03749,
        1.02376,
        1.03341,
        1.08495,
        1.17746,
        1.14921,
        1.05694,
        1.00325,
        1.02351,
        1.05419,
        1.07647,
        1.03435,
        1.04026,
        1.05216,
        1.01549,
        1.00171,
        1.01141,
        1.03902,
        1.03884,
        1.00797,
        1.00425,
        1.08393,
        1.06552,
        1.0625,
        1.0752,
        1.07179,
        1.05508,
        1.04345,
        1.04782,
        1.06627,
        1.0819,
        1.08586,
        1.04945,
        1.07637,
        1.08947,
        1.0623,
        1.07724,
        1.09193,
        1.11071,
        1.14333,
        1.12645,
        1.11575,
        1.12494,
        1.1708,
        1.14661,
        1.08072,
        0.997611,
        1.11275,
        1.16557,
        1.13095,
        1.0688,
        1.04595,
        1.05405,
        1.09328,
        1.11798,
        1.1317,
        1.12446,
        1.04324,
        1.05924,
        1.11516,
        1.18662,
        1.15514,
        1.15775,
        1.17647,
        1.15323,
        1.14853,
        1.14604,
        1.1397,
        1.05631,
        1.06528,
        1.0806,
        1.11201,
        1.09596,
        1.07122,
        1.03348,
        1.04503,
        1.05609,
        1.09904,
        1.12979,
        1.145,
        1.11048,
        1.08706,
        1.07445,
        1.14024,
        1.1991,
        1.16981,
        1.02897,
        1.01842,
        1.10753,
        1.06551,
        1.04525,
        1.01219,
        0.944508,
        0.978315,
        1.00641,
        1.0228,
        0.96906,
        0.949332,
        0.918478,
        0.90938,
        0.963028,
        0.929464,
        0.849041,
        0.829106,
        0.903109,
        0.793488,
        0.803955,
        0.859543,
        0.973734,
        1.08558,
        0.994653,
        0.983378,
        0.881167,
        0.801056,
        0.96513,
        0.962652,
        0.900402,
        0.880423,
        0.901984,
        0.845303,
        0.822989,
        0.938014,
        1.041,
        1.07953,
        1.07875,
        1.04886,
        1.01168,
        0.997004,
        0.970767,
        0.917616,
        0.937205,
        0.978305,
        1.09624,
        1.04612,
        0.977649,
        1.00974,
        1.03568,
        0.981303,
        0.990046,
        1.02775,
        1.03129,
        1.005,
        1.01675,
        1.03162,
        1.03291,
        0.990204,
        1.00093,
        1.02465,
        1.06908,
        1.03665,
        0.999093,
        0.983558,
        1.01136,
        1.0668,
        1.08821,
        1.04783,
        1.02751,
        1.02853,
        1.02925,
        1.01752,
        1.05766,
        1.06765,
        1.05858,
        1.03582,
        0.997097,
        0.992088,
        1.02155,
        0.990504,
        1.03297,
        1.08842,
        1.08084,
        1.07027,
        1.07451,
        1.08477,
        1.03347,
        1.05197,
        1.08372,
        1.09443,
        1.08304,
        1.07587,
        1.05569,
        1.00333,
        1.0227,
        1.03859,
        1.035,
        1.03709,
        1.03099,
        1.02706,
        1.01462,
        1.02719,
        1.03431,
        1.05053,
        1.09856,
        1.07004,
        1.01208,
        0.974347,
        1.01064,
        1.04954,
        1.07554,
        1.05481,
        1.00526,
        0.969702,
        0.948058,
        0.978026,
        1.0081,
        1.0284,
        0.975015,
        0.959734,
        0.958744,
        0.994418,
        0.980513,
        0.938656,
        0.907926,
        0.914709,
        0.94873,
        0.971605,
        0.998557,
        1.02772,
        1.01865,
        1.03823,
        1.04363,
        1.04535,
        1.02294,
        0.973838,
        0.986577,
        1.00548,
        0.994488,
        1.01088,
        1.0842,
        1.06911,
        0.973121,
        1.01452,
        1.00746,
        0.992615,
        1.04281,
        1.07392,
        1.10035,
        1.11815,
        1.1074,
        1.07121,
        1.03002,
        1.03835,
        1.05764,
        1.09145,
        1.1181,
        1.1265,
        1.12755,
        1.11223,
        1.08077,
        1.10294,
        1.10472,
        1.07068,
        1.10137,
        1.14775,
        1.15522,
        1.13409,
        1.14527,
        1.16471,
        1.17046,
        1.13309,
        1.151,
        1.15475,
        1.14265,
        1.12919,
        1.16816,
        1.19982,
        1.18313,
        1.18507,
        1.21875,
        1.25551,
        1.24476,
        1.27945,
        1.29388,
        1.27478,
        1.25333,
        1.27083,
        1.25704,
        1.18907,
        1.24222,
        1.27335,
        1.24117,
        1.18264,
        1.19591,
        1.21484,
        1.16361,
        1.18702,
        1.18324,
        1.13873,
        1.15853,
        1.13174,
        1.10813,
        1.09332,
        1.05324,
        1.06608,
        1.10166,
        1.08342,
        1.09022,
        1.10848,
        1.07434,
        1.02571,
        1.06658,
        1.12948,
        1.14324,
        1.11468,
        1.12448,
        1.09712,
        1.09065,
        1.09433,
        1.07157,
        1.07886,
        1.03346,
        1.12707,
        1.16951,
        1.14685,
        1.07943,
        1.01819,
        1.0564,
        1.07143,
        1.04487,
        1.02303,
        0.979604,
        0.983894,
        1.07697,
        1.12604,
        1.1013,
        1.05181,
        1.03554,
        1.0147,
        0.971562,
        0.92874,
        0.907941,
        0.91927,
        0.92634,
        0.991302,
        1.03017,
        0.969185,
        0.925076,
        0.950328,
        0.932354,
        0.932294,
        0.958901,
        0.990017,
        1.02439,
        1.02283,
        0.991905,
        0.931784,
        0.894288,
        0.90709,
        0.954046,
        0.976779,
        0.973778,
        0.970874,
        1.00946,
        1.04352,
        1.04468,
        0.999893,
        0.971298,
        0.98316,
        1.00675,
        0.982306,
        0.99743,
        1.0066,
        1.02657,
        1.01058,
        0.963133,
        0.947089,
        0.935938,
        0.959521,
        0.938056,
        0.943851,
        0.959633,
        0.955802,
        0.940314,
        0.953867,
        0.928522,
        0.906847,
        0.925758,
        0.953959,
        0.953624,
        0.942449,
        0.93452,
        0.966917,
        0.967309,
        0.948596,
        0.957846,
        0.934781,
        0.93978,
        0.948174,
        0.925314,
        0.926943,
        0.927524,
        0.945499,
        0.952965,
        0.945909,
        0.959463,
        1.0037,
        1.01349,
        1.01452,
        1.03167,
        1.04139,
        1.05175,
        1.0751,
        1.01292,
        0.988053,
        0.98466,
        0.966502,
        0.943601,
        0.959478,
        0.974777,
        1.05236,
        1.01346,
        0.928104,
        0.961093,
        0.968451,
        1.00462,
        1.04781,
        0.890418,
        0.927703,
        0.973486,
        0.944086,
        1.01325,
        1.01182,
        0.995671,
        1.0283,
        1.04273,
        1.01763,
        0.96411,
        0.912877,
        0.875254,
        0.907029,
        1.00711,
        1.06096,
        0.988942,
        0.940965,
        1.00676,
        0.966396,
        0.940207,
        0.912651,
        0.921204,
        0.961905,
        0.98139,
        0.967631,
        0.954752,
        0.973395,
        0.937217,
        0.946242,
        0.999936,
        1.02067,
        0.994603,
        0.948049,
        0.921753,
        0.932537,
        0.98564,
        0.999751,
        0.966297,
        0.953665,
        0.934862,
        0.9831,
        1.04038,
        1.01565,
        0.992317,
        0.972908,
        0.923293,
        0.948591,
        0.957196,
        0.977735,
        0.967111,
        0.997865,
        1.04509,
        1.0383,
        1.04481,
        1.01872,
        0.954238,
        1.03261,
        1.06597,
        1.07298,
        1.03892,
        0.99546,
        0.976419,
        0.97675,
        0.956448,
        0.981692,
        1.00195,
        0.964086,
        0.95274,
        0.940407,
        0.916507,
        0.920174,
        0.944266,
        0.964748,
        0.985523,
        1.04195,
        1.00618,
        0.974309,
        1.0175,
        1.00156,
        1.02,
        1.06522,
        1.09414,
        1.08555,
        1.04771,
        0.990939,
        0.992819,
        1.01778,
        1.05068,
        1.05173,
        1.07059,
        1.08459,
        1.06576,
        1.01206,
        1.01933,
        1.05147,
        1.0785,
        1.0488,
        1.01733,
        0.986782,
        0.9566,
        0.980797,
        1.0635,
        1.14339,
        1.18371,
        1.10896,
        1.05132,
        1.02631,
        1.05911,
        1.07779,
        1.09784,
        1.11695,
        1.12241,
        1.10779,
        1.07633,
        1.03551,
        1.03845,
        1.09002,
        1.17315,
        1.28081,
        1.14938,
        1.13904,
        1.16077,
        1.08041,
        1.05976,
        1.00655,
        0.944845,
        0.981839,
        0.967683,
        1.01645,
        1.13396,
        1.10546,
        1.08118,
        1.06851,
        1.07377,
        1.03414,
        1.02472,
        1.03168,
        1.03539,
        1.08276,
        1.04467,
        0.955471,
        0.963729,
        0.998121,
        1.06626,
        1.15674,
        1.0929,
        1.07475,
        1.09931,
        1.16859,
        1.04975,
        0.997727,
        0.997491,
        1.03067,
        1.09194,
        1.12246,
        1.11849,
        1.08261,
        1.10397,
        1.15936,
        1.22225,
        1.07586,
        1.06646,
        1.09765,
        1.10433,
        1.05014,
        1.03592,
        1.06097,
        1.12995,
        1.15129,
        1.11041,
        1.03791,
        1.06543,
        1.04541,
        0.995916,
        0.936727,
        1.02998,
        1.11141,
        1.13927,
        1.0782,
        1.073,
        1.05846,
        1.04915,
        1.07018,
        1.11903,
        1.12917,
        1.10847,
        1.12809,
        1.05646,
        1.06617,
        1.19246,
        1.1185,
        1.12393,
        1.1411,
        1.12211,
        1.13259,
        1.10998,
        1.08015,
        1.08962,
        1.13768,
        1.14136,
        1.11526,
        1.16977,
        1.11333,
        1.06383,
        1.06827,
        1.18527,
        1.19218,
        1.17923,
        1.21023,
        1.17785,
        1.17387,
        1.18256,
        1.17923,
        1.12026,
        1.0932,
        1.0981,
        1.08177,
        1.07977,
        1.05947,
        1.0233,
        1.1374,
        1.14012,
        1.12408,
        1.15538,
        1.1751,
        1.11992,
        1.07046,
        1.15641,
        1.12869,
        1.09546,
        1.08226,
        1.1406,
        1.14661,
        1.13613,
        1.12632,
        1.17626,
        1.16215,
        1.13859,
        1.14491,
        1.17507,
        1.16919,
        1.1283,
        1.0501,
        1.01702,
        1.03912,
        1.09621,
        1.12113,
        1.11103,
        1.09007,
        1.06784,
        1.0768,
        1.07066,
        1.06664,
        1.07772,
        1.02632,
        1.02828,
        1.06169,
        1.09381,
        1.06078,
        1.06713,
        1.09552,
        1.04939,
        1.07382,
        1.08854,
        1.07327,
        1.05313,
        1.08801,
        1.12569,
        1.13103,
        1.0988,
        1.07197,
        1.05193,
        1.04104,
        1.01283,
        1.02051,
        1.04961,
        1.03258,
        1.04402,
        1.02169,
        0.961223,
        0.984312,
        1.07491,
        1.13576,
        1.10579,
        1.02238,
        1.02588,
        1.05263,
        1.02256,
        1.08858,
        1.08596,
        1.01925,
        0.928158,
        1.02797,
        1.08222,
        1.03922,
        1.0534,
        1.09907,
        1.12023,
        1.08098,
        1.00705,
        0.967241,
        0.969704,
        1.03099,
        1.04706,
        1.0161,
        0.982587,
        1.06827,
        1.07509,
        1.0362,
        0.970605,
        0.953794,
        0.943376,
        0.943065,
        0.956928,
        1.02242,
        0.980264,
        0.920282,
        0.935065,
        0.958185,
        1.00111,
        1.0458,
        1.04357,
        1.01907,
        0.987008,
        0.949375,
        0.897803,
        0.954187,
        0.997785,
        0.969848,
        0.945316,
        0.976772,
        0.995344,
        0.925986,
        0.954433,
        0.95099,
        0.919621,
        0.880755,
        1.02616,
        1.06171,
        0.98333,
        1.03337,
        1.01582,
        0.990255,
        0.979391,
        0.965398,
        0.993434,
        0.996665,
        0.914946,
        0.926112,
        0.947542,
        0.961795,
        0.939992,
        0.93573,
        0.937955,
        0.940309,
        0.924121,
        0.919194,
        0.945477,
        1.0069,
        1.06276,
        0.994632,
        0.915646,
        0.904362,
        0.908054,
        0.928357,
        0.950722,
        0.948658,
        0.921222,
        0.894161,
        0.877311,
        0.895791,
        0.966214,
        0.99524,
        0.958828,
        0.947453,
        1.03221,
        1.07179,
        0.964324,
        0.947241,
        0.925594,
        0.905687,
        0.897577,
        0.971033,
        0.967749,
        0.928404,
        1.02765,
        1.0448,
        1.03545,
        1.01741,
        1.01797,
        1.01621,
        1.00565,
        0.982035,
        0.952557,
        0.897738,
        0.86462,
        0.913225,
        1.0253,
        1.05258,
        1.01739,
        0.994112,
        1.06279,
        1.11129,
        1.11611,
        1.07889,
        1.10547,
        1.11626,
        1.07442,
        1.00163,
        1.0287,
        1.08271,
        1.09612,
        1.07092,
        1.12383,
        1.16827,
        1.01444,
        1.14407,
        1.19439,
        1.14924,
        1.19874,
        1.21381,
        1.23884,
        1.27454,
        1.11335,
        1.12107,
        1.17359,
        1.17856,
        1.19585,
        1.19974,
        1.18841,
        1.15731,
        1.15488,
        1.12424,
        1.09233,
        1.17985,
        1.17778,
        1.14429,
        1.10545,
        1.14551,
        1.19614,
        1.18669,
        1.06888,
        1.0557,
        1.07628,
        1.07086,
        0.953864,
        0.957891,
        1.01009,
        1.05869,
        0.974458,
        1.01264,
        0.994776,
        0.921747,
        1.09136,
        1.0924,
        1.06361,
        1.07336,
        1.08148,
        1.11084,
        1.11445,
        1.03692,
        0.902931,
        0.910809,
        0.99042,
        0.963249,
        0.980369,
        0.954022,
        0.897744,
        0.966698,
        0.968712,
        0.981981,
        1.0319,
        0.982881,
        0.983728,
        0.998789,
        0.998184,
        1.04115,
        1.07602,
        1.08034,
        1.01028,
        0.930264,
        0.910045,
        0.930294,
        0.877998,
        0.926302,
        0.981744,
        1.01007,
        0.753091,
        0.794576,
        0.851312,
        0.908146,
        0.879853,
        0.890962,
        0.917573,
        0.925031,
        0.92431,
        0.941633,
        0.892838,
        0.930931,
        0.891479,
        0.807622,
        0.84164,
        0.899064,
        0.918997,
        0.918376,
        0.863906,
        0.946189,
        0.949344,
        0.860561,
        0.981689,
        0.989769,
        0.918449,
        0.839052,
        0.847093,
        0.900643,
        0.855634,
        0.7023,
        0.749373,
        0.756813,
        0.807116,
        0.84077,
        null,
        0.553318,
        0.770308,
        0.997742,
        1.09518,
        0.967245,
        1.00635,
        1.14269,
        1.09242,
        1.03412,
        0.982902,
        0.992948,
        1.06661,
        1.12917,
        1.1028,
        1.06953,
        1.01588,
        0.99716,
        1.00492,
        0.954308,
        0.913033,
        0.994653,
        1.03507,
        1.02421,
        0.953816,
        0.96962,
        0.968942,
        0.961272,
        0.974534,
        0.897439,
        0.952294,
        1.05174,
        1.09959,
        1.05452,
        1.04524,
        1.06233,
        1.09996,
        1.03926,
        1.05306,
        1.10911,
        1.04595,
        0.9745,
        0.981909,
        1.04458,
        1.03371,
        1.01236,
        0.993862,
        1.00087,
        1.05654,
        1.08295,
        1.06365,
        0.992074,
        0.975141,
        1.06701,
        1.15233,
        1.13616,
        1.03724,
        1.04986,
        1.07134,
        1.05219,
        0.997908,
        0.99078,
        1.00695,
        0.973051,
        0.894371,
        0.917729,
        0.984583,
        0.981184,
        0.965617,
        0.947335,
        0.917491,
        0.98564,
        1.02487,
        0.996521,
        0.994175,
        1.02487,
        0.995271,
        0.961038,
        0.973908,
        0.989456,
        0.958086,
        0.962378,
        0.976237,
        1.00279,
        0.993681,
        0.950257,
        0.973749,
        0.991141,
        0.991008,
        1.01222,
        1.10633,
        1.07279,
        1.04977,
        1.02866,
        1.00855,
        1.00233,
        1.01389,
        0.993086,
        0.977504,
        1.02757,
        1.03331,
        1.0211,
        1.05103,
        1.05031,
        1.08241,
        1.07553,
        1.06166,
        1.02358,
        1.06207,
        1.1022,
        1.07374,
        1.06559,
        1.06753,
        1.06921,
        1.07706,
        1.0357,
        1.04106,
        1.07161,
        1.07643,
        1.0959,
        1.10285,
        1.13008,
        1.11287,
        1.1148,
        1.06612,
        1.09916,
        1.12309,
        1.11149,
        1.12469,
        1.17121,
        1.11955,
        1.12844,
        1.12788,
        1.09828,
        1.0918,
        1.12665,
        1.14155,
        1.16127,
        1.09198,
        1.08733,
        1.05977,
        1.00696,
        1.09044,
        1.12934,
        1.09605,
        1.09758,
        1.1345,
        1.12465,
        1.07736,
        1.00295,
        1.0201,
        1.0579,
        1.07464,
        0.995752,
        1.02114,
        1.08323,
        1.1172,
        1.08461,
        1.02811,
        1.02622,
        1.05605,
        1.02057,
        1.01088,
        0.986132,
        0.949639,
        1.00766,
        1.0556,
        1.04643,
        0.97473,
        1.00399,
        1.00427,
        0.99197,
        1.01062,
        0.989757,
        0.957671,
        0.938083,
        0.937256,
        0.946348,
        0.945238,
        0.934936,
        0.950864,
        0.951977,
        0.972745,
        0.994267,
        0.947671,
        0.96264,
        0.964482,
        0.942894,
        0.893213,
        0.95916,
        0.997067,
        0.969973,
        1.00736,
        1.00488,
        0.990466,
        0.982988,
        0.93436,
        0.896099,
        0.888861,
        0.923589,
        0.873535,
        0.896683,
        0.941943,
        0.954397,
        0.944799,
        0.963095,
        0.953136,
        0.868665,
        0.879461,
        0.882905,
        0.882352,
        0.894289,
        0.900822,
        0.912033,
        0.925379,
        0.931755,
        0.893306,
        0.872554,
        0.884095,
        0.936881,
        0.967836,
        0.966155,
        0.909356,
        0.971608,
        0.96466,
        0.935815,
        0.903025,
        0.899303,
        0.927718,
        0.954231,
        0.945956,
        0.943711,
        0.918348,
        0.889983,
        0.925796,
        0.891138,
        0.913373,
        0.960852,
        0.925551,
        0.883359,
        0.89385,
        0.955446,
        0.972314,
        0.972196,
        0.935223,
        0.930772,
        0.929333,
        0.933333,
        0.911956,
        0.889928,
        0.961552,
        0.941804,
        0.881934,
        0.920775,
        0.947454,
        0.962279,
        0.934885,
        0.876676,
        0.925316,
        0.92881,
        0.952874,
        0.967081,
        0.979805,
        0.94641,
        0.899276,
        0.875292,
        0.889431,
        0.896073,
        0.906428,
        0.914782,
        0.910084,
        0.902724,
        0.935855,
        0.986416,
        0.94407,
        0.944988,
        0.96809,
        0.897395,
        0.906606,
        0.941912,
        0.955723,
        0.89277,
        0.894521,
        0.921732,
        0.933666,
        0.919526,
        0.937373,
        0.948705,
        0.936861,
        0.931618,
        0.945505,
        0.964627,
        0.936018,
        0.900802,
        0.974561,
        0.962191,
        0.93517,
        0.983518,
        0.981291,
        0.985211,
        1.03208,
        1.01424,
        0.947169,
        0.928258,
        0.981826,
        0.900647,
        0.906914,
        0.946135,
        0.928251,
        0.947319,
        0.95836,
        0.934939,
        0.904807,
        0.880099,
        0.890285,
        0.868789,
        0.851342,
        0.877167,
        0.924173,
        0.938748,
        0.891968,
        0.891551,
        0.928003,
        0.928678,
        0.923153,
        0.911424,
        0.926161,
        0.923843,
        0.950774,
        0.901049,
        0.824301,
        0.769444,
        0.830882,
        0.891148,
        0.901539,
        0.872548,
        0.948724,
        0.959007,
        0.953487,
        0.99889,
        1.04416,
        0.97855,
        0.939039,
        1.00365,
        1.00338,
        1.00724,
        1.03525,
        0.954615,
        0.986756,
        0.973517,
        0.902425,
        0.851591,
        0.902484,
        0.992339,
        1.0481,
        1.03414,
        1.0188,
        1.01672,
        0.97043,
        0.886983,
        0.953392,
        1.00938,
        0.982412,
        0.978136,
        0.989074,
        0.956014,
        0.953221,
        1.05289,
        1.0032,
        0.934229,
        0.994375,
        1.02536,
        0.970943,
        0.862561,
        0.831475,
        0.890486,
        0.91304,
        0.888416,
        0.906144,
        0.72589,
        0.722303,
        0.967775,
        0.802233,
        0.868333,
        null,
        0.844686,
        0.892525,
        0.933146,
        0.628666,
        0.898879,
        0.884998,
        0.74911,
        0.818882,
        0.815955,
        0.859278,
        0.942117,
        1.02042,
        0.78059,
        0.765988,
        0.961185,
        0.869482,
        0.829767,
        0.845884,
        0.902578,
        0.860013,
        0.825713,
        0.821209,
        0.848779,
        0.761131,
        0.819261,
        0.876964,
        0.829785,
        0.928872,
        0.939347,
        0.923303,
        0.954324,
        0.897425,
        0.891908,
        0.955699,
        1.11195,
        1.04437,
        0.947361,
        0.878905,
        0.937915,
        0.900741,
        0.87636,
        0.879356,
        0.875026,
        0.970985,
        1.0232,
        0.983786,
        0.908762,
        0.901389,
        0.897577,
        0.868854,
        0.948213,
        0.935547,
        0.920874,
        0.985355,
        0.930111,
        0.89497,
        0.899311,
        0.971873,
        0.911902,
        0.910121,
        0.935655,
        0.90129,
        0.8638,
        0.817456,
        0.793794,
        0.903975,
        0.9085,
        0.895246,
        0.893739,
        0.941067,
        1.00456,
        1.01832,
        0.963891,
        0.958136,
        0.896515,
        0.86156,
        0.907928,
        0.95893,
        0.935448,
        0.91674,
        0.990109,
        0.990524,
        0.962464,
        0.925508,
        0.909461,
        0.876383,
        0.859091,
        0.86248,
        0.893826,
        0.891644,
        0.916603,
        0.970035,
        1.0065,
        0.99442,
        0.981756,
        0.976626,
        0.920866,
        0.868065,
        0.875015,
        0.965917,
        0.947146,
        0.981358,
        1.02867,
        1.05771,
        1.04255,
        1.03464,
        1.04352,
        1.08246,
        1.07495,
        1.06684,
        1.07012,
        1.10434,
        0.989767,
        0.930057,
        0.951375,
        1.04384,
        1.04139,
        1.03239,
        1.03131,
        0.993012,
        0.979417,
        1.00735,
        1.07605,
        1.06392,
        1.09843,
        1.14989,
        1.19793,
        1.1669,
        1.11518,
        1.06978,
        1.06045,
        1.03641,
        1.01834,
        1.04401,
        1.18206,
        1.17735,
        1.10102,
        1.01624,
        1.07054,
        1.11363,
        1.12602,
        1.10784,
        1.07736,
        1.03097,
        1.00746,
        1.02033,
        1.05181,
        1.11317,
        1.12994,
        1.06028,
        1.06065,
        1.05583,
        1.07364,
        1.14366,
        0.982322,
        0.966023,
        1.03484,
        1.09234,
        1.00505,
        0.959831,
        0.94727,
        0.89973,
        0.915353,
        0.976279,
        1.04762,
        0.996225,
        1.08044,
        1.08208,
        0.95594,
        0.964305,
        1.01095,
        1.05563,
        1.07474,
        1.05718,
        1.05987,
        1.05177,
        1.00566,
        1.11085,
        1.1248,
        1.06815,
        0.973803,
        0.957817,
        0.972545,
        1.02987,
        1.16902,
        1.10872,
        1.08099,
        1.11218,
        1.13,
        1.10031,
        1.05327,
        1.01125,
        1.06709,
        1.05829,
        1.0522,
        1.07924,
        1.05136,
        1.016,
        0.955618,
        0.854383,
        1.07733,
        1.12748,
        1.08404,
        1.06941,
        1.07192,
        1.11184,
        1.1529,
        1.11265,
        1.12589,
        1.1155,
        1.07792,
        1.04694,
        1.10427,
        1.14302,
        1.14068,
        1.17199,
        1.16044,
        1.1564,
        1.18217,
        1.16453,
        1.08488,
        1.06643,
        1.21652,
        1.22398,
        1.22404,
        1.22127,
        1.22004,
        1.23371,
        1.16704,
        1.05734,
        1.01302,
        0.974283,
        1.0081,
        1.08204,
        1.00764,
        1.07895,
        1.12102,
        1.08879,
        1.09482,
        1.12395,
        1.1086,
        1.01454,
        1.00562,
        1.06147,
        1.10446,
        1.06054,
        1.03401,
        1.04344,
        1.07423,
        1.10559,
        1.12206,
        1.05444,
        0.95765,
        0.990974,
        1.00086,
        1.01201,
        1.02579,
        1.02718,
        1.05636,
        1.06049,
        1.02987,
        1.04618,
        1.0106,
        0.978468,
        0.978119,
        0.91292,
        0.89252,
        0.891823,
        0.889267,
        1.09389,
        1.21326,
        1.20781,
        1.01262,
        1.13775,
        1.0674,
        0.892626,
        0.993271,
        0.964894,
        0.964818,
        1.01641,
        1.07234,
        0.996855,
        0.947372,
        0.973138,
        0.901765,
        0.914484,
        0.943829,
        0.947249,
        0.978586,
        0.958352,
        0.945552,
        1.00926,
        0.936986,
        0.922458,
        0.96935,
        1.07922,
        1.09728,
        1.02207,
        0.91042,
        0.94625,
        0.917239,
        0.903503,
        0.919141,
        0.918583,
        0.921898,
        0.914823,
        0.894326,
        0.911681,
        0.914559,
        0.930592,
        0.980599,
        0.942401,
        0.928966,
        0.906671,
        0.831527,
        0.965771,
        1.01909,
        1.00715,
        1.00277,
        1.00661,
        0.976642,
        0.935058,
        1.0011,
        1.0628,
        1.09894,
        1.09168,
        0.952092,
        0.849974,
        0.827964,
        0.904338,
        0.905314,
        0.947337,
        0.948249,
        0.829866,
        0.913315,
        0.987516,
        1.04406,
        1.0736,
        1.00691,
        0.999894,
        1.0243,
        0.954696,
        0.983598,
        0.958195,
        0.89503,
        1.04704,
        1.08962,
        1.03379,
        0.908287,
        0.993539,
        0.957287,
        0.905785,
        0.910827,
        0.95656,
        0.872551,
        0.780407,
        0.834058,
        1.0701,
        1.07074,
        0.935887,
        0.995713,
        0.863148,
        0.760123,
        0.749412,
        0.914778,
        0.917307,
        0.969032,
        0.926087,
        0.991211,
        1.21166,
        0.931236,
        0.870027,
        0.854854,
        0.842863,
        0.969989,
        0.894416,
        0.807111,
        0.821799,
        0.644892,
        0.853193,
        1.07525,
        1.15128,
        0.937758,
        0.801875,
        0.8256,
        0.936047,
        0.991156,
        0.821677,
        0.762855,
        0.772722,
        0.814136,
        0.702069,
        0.77294,
        0.856152,
        0.948798,
        0.985912,
        0.9928,
        0.936452,
        0.799659,
        0.689236,
        0.784567,
        0.701379,
        0.591239,
        0.531167,
        0.828504,
        0.848488,
        0.665679,
        0.644098,
        0.992906,
        0.994313,
        1.01102,
        1.07465,
        0.786048,
        0.921647,
        0.96111,
        0.921161,
        0.849778,
        0.903671,
        0.815027,
        0.743215,
        0.593109,
        null,
        0.20131,
        0.640754,
        0.936386,
        0.995897,
        0.853025,
        1.26444,
        1.30646,
        1.08301,
        0.801127,
        0.875394,
        0.876249,
        0.855582,
        0.457931,
        0.673769,
        0.42098,
        0.44173,
        0.70133,
        0.736022,
        0.505509,
        0.384598,
        0.372632,
        0.546102,
        1.1075,
        0.376972,
        0.143252,
        0.460981,
        1.11168,
        0.647662,
        0.741099,
        1.10658,
        1.32366,
        -0.27371,
        0.763178,
        1.25434,
        0.838723,
        0.821196,
        null,
        0.535071,
        1.0944,
        0.642167,
        0.238196,
        -0.0107205,
        0.0330345,
        0.832036,
        1.01717,
        1.13802,
        1.28261,
        1.36706,
        0.825906,
        0.54504,
        0.485744,
        0.523118,
        0.806526,
        0.68046,
        0.727244,
        1.13955,
        0.995276,
        1.09229,
        0.90045,
        0.538368,
        0.76594,
        1.15541,
        1.27657,
        1.15315,
        0.892015,
        0.849913,
        0.796554,
        0.866807,
        1.11114,
        1.111,
        1.09682,
        1.13679,
        1.17412,
        0.909266,
        1.20909,
        1.00514,
        0.566829,
        0.633961,
        1.0913,
        0.998269,
        0.789926,
        0.851732,
        0.883637,
        0.857008,
        0.796956,
        0.772482,
        1.02889,
        1.06336,
        0.866507,
        0.646252,
        0.844598,
        0.957836,
        1.13843,
        1.21601,
        1.01476,
        1.16236,
        1.03533,
        0.916785,
        0.922998,
        0.775167,
        0.853636,
        0.998024,
        1.08286,
        0.897798,
        0.817288,
        0.840091,
        0.908719,
        0.946329,
        0.831773,
        0.817398,
        0.940894,
        1.17062,
        1.05076,
        0.9739,
        0.88045,
        0.814961,
        1.00125,
        1.0595,
        1.05766,
        0.989597,
        0.830642,
        0.847146,
        0.948258,
        0.982432,
        0.840702,
        0.849118,
        0.906596,
        0.899248,
        0.814261,
        0.812462,
        0.96837,
        1.04084,
        1.02794,
        1.03267,
        0.845756,
        0.869132,
        0.986869,
        1.03452,
        0.922415,
        1.03936,
        1.1565,
        1.15608,
        1.09523,
        1.12311,
        1.14063,
        1.07672,
        0.819887,
        0.989128,
        0.984533,
        0.873635,
        0.839299,
        1.00467,
        1.03238,
        1.01872,
        1.0278,
        1.00612,
        1.01791,
        1.11146,
        1.18718,
        0.848992,
        0.789345,
        0.932965,
        1.12721,
        1.12238,
        1.1231,
        1.19082,
        1.20314,
        1.07936,
        1.19352,
        1.16361,
        1.10162,
        1.05546,
        1.00135,
        0.826951,
        0.916983,
        1.12614,
        0.948051,
        0.83907,
        0.793243,
        0.848684,
        1.03173,
        1.0073,
        1.00054,
        1.04786,
        1.13267,
        1.02661,
        0.962639,
        1.0255,
        1.13822,
        1.01102,
        0.961217,
        0.93853,
        0.913883,
        0.856642,
        0.800336,
        0.869348,
        0.988252,
        1.08226,
        1.01518,
        0.979423,
        0.967669,
        0.975267,
        0.993004,
        1.03689,
        0.997697,
        0.946162,
        1.02987,
        1.07281,
        0.974346,
        0.869118,
        0.88832,
        1.06522,
        0.955734,
        0.799291,
        0.746383,
        0.98455,
        1.09329,
        1.0566,
        0.934533,
        0.863312,
        0.878432,
        1.00599,
        1.1144,
        1.0576,
        0.990957,
        0.982009,
        0.96792,
        0.921097,
        0.925216,
        0.996196,
        1.03684,
        1.02857,
        1.00587,
        0.994076,
        1.0372,
        1.13054,
        1.08239,
        0.83521,
        0.759397,
        0.840546,
        0.999545,
        1.03958,
        1.09157,
        1.11055,
        1.10348,
        1.08448,
        1.0009,
        1.02351,
        1.06499,
        1.08312,
        1.22519,
        1.14909,
        1.03841,
        0.962626,
        0.937686,
        1.06347,
        1.06185,
        1.00083,
        1.06074,
        0.950722,
        1.03916,
        1.06972,
        0.868292,
        1.02879,
        1.04909,
        1.02073,
        0.989652,
        0.974295,
        1.07706,
        1.0369,
        0.904477,
        0.899189,
        1.00411,
        1.01879,
        1.00111,
        1.03612,
        1.23671,
        1.16368,
        1.05123,
        1.03736,
        1.15452,
        1.13719,
        1.07147,
        1.01028,
        1.03344,
        1.12252,
        1.15728,
        1.11647,
        0.994521,
        0.991069,
        1.08284,
        1.11688,
        1.01542,
        1.17498,
        1.15064,
        1.13502,
        1.16322,
        1.10072,
        1.09905,
        1.09724,
        1.06218,
        0.951176,
        1.09987,
        1.13832,
        1.16082,
        1.26196,
        1.2201,
        1.12666,
        1.12063,
        1.22868,
        1.21841,
        1.19121,
        1.16952,
        1.19094,
        1.33187,
        1.24149,
        1.17941,
        1.16879,
        1.20947,
        1.24608,
        1.18212,
        1.19312,
        1.35257,
        1.26105,
        1.20502,
        1.17701,
        1.18505,
        1.26216,
        1.27284,
        1.14344,
        1.00567,
        1.08867,
        1.24077,
        1.28231,
        1.31504,
        1.41564,
        1.3116,
        1.16319,
        1.12439,
        1.20061,
        1.08495,
        1.13689,
        1.24758,
        1.319,
        1.18273,
        1.19758,
        1.1953,
        1.20363,
        1.26072,
        1.16824,
        1.14093,
        1.15679,
        1.17853,
        1.04457,
        1.14041,
        1.26146,
        1.2977,
        1.11811,
        1.14981,
        1.177,
        1.18996,
        1.21283,
        1.19534,
        1.24187,
        1.28063,
        1.25329,
        1.19247,
        1.20797,
        1.18514,
        1.12024,
        1.18228,
        1.22165,
        1.19148,
        1.15859,
        1.27365,
        1.2347,
        1.22536,
        1.20728,
        1.13728,
        1.15378,
        1.14652,
        1.17251,
        1.25496,
        1.27417,
        1.19259,
        1.15307,
        1.14695,
        1.08812,
        1.10838,
        1.03819,
        1.10584,
        1.38703,
        1.29109,
        0.994963,
        1.11906,
        1.11269,
        1.21508,
        1.30762,
        1.3053,
        1.31578,
        1.21663,
        1.13819,
        1.19619,
        1.19274,
        1.27613,
        1.26995,
        1.22515,
        1.20685,
        1.32868,
        1.2743,
        1.17204,
        1.22454,
        1.19571,
        1.19018,
        1.16236,
        1.18784,
        1.12876,
        1.10666,
        1.11689,
        1.12631,
        1.20331,
        1.2001,
        1.12763,
        1.13042,
        1.16184,
        1.14402,
        1.09243,
        1.07717,
        1.14837,
        1.21294,
        1.17565,
        1.14973,
        1.13926,
        1.14797,
        1.05712,
        1.12135,
        1.15458,
        1.11548,
        1.17284,
        1.14653,
        1.10023,
        1.08258,
        1.16844,
        1.18022,
        1.13783,
        1.15643,
        1.13866,
        1.15456,
        1.10944,
        1.09943,
        1.15766,
        1.19491,
        1.12469,
        1.11508,
        1.13014,
        1.12515,
        1.12825,
        1.08899,
        1.06789,
        1.00826,
        1.13707,
        1.16281,
        1.09977,
        1.04479,
        1.11006,
        1.14804,
        1.15514,
        1.13003,
        1.1795,
        1.14273,
        1.12916,
        1.1908,
        1.30644,
        1.27998,
        1.18932,
        1.1176,
        1.12945,
        1.12798,
        1.08187,
        1.08103,
        1.12211,
        1.14788,
        1.11975,
        1.10455,
        1.13227,
        1.25607,
        1.19409,
        1.15427,
        1.14261,
        1.08661,
        1.15575,
        1.15273,
        1.0938,
        1.01669,
        1.09962,
        1.19064,
        1.19538,
        1.13088,
        1.05554,
        1.06645,
        1.05399,
        1.03829,
        1.12424,
        1.03926,
        1.03414,
        1.07948,
        1.15996,
        1.0464,
        1.09675,
        1.12831,
        1.06669,
        1.17699,
        1.17227,
        1.11852,
        1.09089,
        1.0648,
        1.10181,
        1.07648,
        1.07413,
        1.13968,
        1.07044,
        1.09579,
        1.12997,
        1.11767,
        1.10425,
        1.07013,
        1.09225,
        1.14397,
        1.02849,
        1.02777,
        1.09623,
        1.15624,
        1.04241,
        0.991477,
        1.06513,
        1.11777,
        1.06705,
        1.10311,
        1.1193,
        1.10001,
        1.06418,
        1.05597,
        1.13487,
        1.17941,
        1.1484,
        1.12706,
        1.03767,
        1.10137,
        1.16693,
        1.09742,
        1.16555,
        1.12262,
        1.09499,
        1.12356,
        1.17482,
        1.1101,
        1.09676,
        1.14218,
        1.12452,
        1.08715,
        1.1424,
        1.18188,
        1.07757,
        1.17587,
        1.14931,
        1.10264,
        1.08461,
        1.20832,
        1.17598,
        1.123,
        1.10146,
        1.12407,
        1.12893,
        1.09879,
        1.08709,
        1.16281,
        1.11197,
        1.08397,
        1.10066,
        1.1348,
        1.13124,
        1.1453,
        1.0901,
        1.03547,
        1.10176,
        1.14495,
        1.20062,
        1.20916,
        1.1672,
        1.13106,
        1.11137,
        1.12253,
        1.14972,
        1.09162,
        1.08652,
        1.10813,
        1.14107,
        1.13984,
        1.07935,
        1.08639,
        1.11563,
        1.08903,
        1.10859,
        1.17519,
        1.16034,
        1.02951,
        1.0506,
        1.0253,
        1.02876,
        1.07145,
        1.11389,
        1.09889,
        1.06805,
        1.06741,
        1.14495,
        1.12809,
        1.13442,
        1.10067,
        1.00437,
        1.03599,
        1.07976,
        1.11269,
        1.11796,
        1.03779,
        1.08034,
        1.11424,
        1.138,
        1.1362,
        1.01465,
        0.99195,
        0.993916,
        0.980837,
        1.00263,
        0.98697,
        0.981982,
        0.991974,
        1.0373,
        0.99677,
        1.02362,
        1.05514,
        0.99343,
        0.903023,
        0.969366,
        1.04312,
        1.01338,
        0.991686,
        1.03645,
        1.04095,
        1.03961,
        1.15288,
        1.1442,
        1.14933,
        1.10566,
        0.963395,
        0.987175,
        0.999732,
        1.01719,
        1.06773,
        1.0904,
        1.10902,
        1.12673,
        1.07419,
        1.04876,
        1.05357,
        1.01285,
        0.950282,
        1.00518,
        0.934186,
        0.934981,
        0.971465,
        1.05079,
        1.07959,
        1.04713,
        1.01198,
        0.991762,
        1.03158,
        1.00161,
        1.0138,
        0.978176,
        0.977566,
        1.00846,
        1.02412,
        1.01751,
        0.969644,
        0.995164,
        0.992557,
        0.994236,
        1.01163,
        1.0516,
        0.880573,
        0.9169,
        1.01421,
        0.952041,
        0.98042,
        1.01384,
        1.02881,
        1.00788,
        1.00623,
        1.01453,
        1.00819,
        0.986522,
        0.974758,
        0.96095,
        0.952785,
        0.936717,
        0.96012,
        0.994641,
        0.954024,
        0.981597,
        0.988745,
        0.917264,
        0.989789,
        1.02086,
        0.988214,
        0.906481,
        0.897987,
        0.92906,
        0.986797,
        1.02366,
        0.943423,
        0.96754,
        0.984701,
        0.971023,
        0.956559,
        0.945999,
        0.931855,
        0.914663,
        0.933802,
        1.03428,
        1.07794,
        1.00224,
        0.943561,
        0.952531,
        0.985927,
        0.98178,
        0.949698,
        0.963486,
        1.03529,
        1.05157,
        1.05939,
        1.02183,
        0.969948,
        1.00769,
        0.971864,
        0.875973,
        0.974943,
        0.981319,
        0.982334,
        1.00787,
        0.955133,
        0.978616,
        0.969115,
        0.979578,
        1.06086,
        1.05535,
        0.966955,
        1.03491,
        1.05638,
        0.945634,
        0.941182,
        0.990982,
        0.959939,
        0.954978,
        1.01473,
        1.02371,
        0.988138,
        1.03936,
        1.06177,
        1.04962,
        1.05873,
        1.03223,
        1.03845,
        1.04927,
        1.01315,
        0.983122,
        0.991656,
        1.02982,
        1.02917,
        1.07744,
        0.90376,
        0.970373,
        1.01535,
        0.966233,
        0.982651,
        1.00651,
        0.935411,
        0.876958,
        0.970664,
        0.998942,
        0.934994,
        0.960106,
        0.99547,
        0.924145,
        0.955624,
        0.970297,
        0.950448,
        1.04545,
        0.958083,
        0.973641,
        0.986401,
        0.951892,
        0.932505,
        0.861887,
        0.955481,
        0.943459,
        0.921197,
        0.935096,
        0.950683,
        0.916296,
        0.831518,
        0.949496,
        0.965943,
        0.774436,
        0.746367,
        0.99714,
        0.940592,
        0.672947,
        0.710091,
        0.798003,
        0.850465,
        0.785344,
        0.787304,
        0.866006,
        0.858601,
        0.405235,
        0.523556,
        0.705191,
        0.901621,
        1.1897,
        1.3033,
        1.02374,
        0.611599,
        0.363719,
        null,
        -0.048816,
        0.107553,
        0.195415,
        1.04611,
        1.0287,
        0.700618,
        0.527323,
        0.567957,
        0.788266,
        0.805976,
        0.898766,
        0.913489,
        0.853705,
        0.902533,
        0.947775,
        1.03258,
        1.14002,
        1.29706,
        1.33105,
        1.23416,
        1.16307,
        1.18413,
        1.24886,
        1.07855,
        1.03938,
        1.1046,
        1.08961,
        1.04547,
        1.10471,
        1.15705,
        1.10814,
        1.06346,
        1.07264,
        1.09869,
        1.13771,
        1.23245,
        1.25804,
        1.23818,
        1.20573,
        1.20363,
        1.20047,
        1.18523,
        1.18211,
        1.19777,
        1.13586,
        1.11705,
        1.16078,
        1.21214,
        1.10085,
        1.17443,
        1.25628,
        1.34402,
        1.4511,
        1.05821,
        1.01578,
        1.13506,
        1.26966,
        1.24777,
        1.2326,
        1.15225,
        1.06549,
        1.16027,
        1.06588,
        1.08709,
        1.18564,
        1.27994,
        1.15658,
        1.10638,
        1.09555,
        1.11669,
        1.21358,
        1.16897,
        1.12354,
        1.11487,
        1.15583,
        1.06467,
        1.07744,
        1.10487,
        1.06443,
        1.03417,
        1.04894,
        1.08352,
        1.1183,
        1.1177,
        1.0666,
        0.989883,
        0.97205,
        1.13397,
        1.16803,
        1.12953,
        1.06456,
        1.02269,
        1.09926,
        1.17361,
        1.15692,
        1.08243,
        1.11391,
        1.02882,
        1.03984,
        1.10068,
        1.12663,
        1.08764,
        0.95247,
        0.888376,
        0.968288,
        1.09812,
        1.10432,
        1.11568,
        1.12654,
        1.06195,
        0.964686,
        1.02151,
        1.08305,
        1.01576,
        1.10404,
        1.10968,
        1.11457,
        1.14828,
        1.18728,
        1.11326,
        1.20446,
        1.33127,
        1.20208,
        1.09404,
        1.19087,
        1.16954,
        0.878939,
        1.18229,
        1.04753,
        0.907633,
        0.900922,
        0.983242,
        0.965887,
        1.06939,
        1.14544,
        0.988067,
        1.16488,
        1.04245,
        0.942137,
        0.962026,
        0.525399,
        null,
        1.35838,
        1.05152,
        1.01842,
        1.17751,
        0.922141,
        1.07226,
        1.09805,
        1.09135,
        1.16336,
        1.27562,
        1.14871,
        1.0646,
        1.0811,
        0.981768,
        0.854707,
        0.887032,
        1.06839,
        1.33018,
        1.15368,
        1.11525,
        1.08862,
        1.02219,
        1.19419,
        1.26718,
        1.19668,
        1.07591,
        1.1627,
        1.12549,
        1.10318,
        1.134,
        1.22979,
        1.15383,
        1.06398,
        1.04329,
        1.11421,
        1.19154,
        1.26727,
        1.26652,
        1.18455,
        1.0453,
        1.10323,
        1.17747,
        1.23286,
        1.23704,
        1.13691,
        1.06235,
        1.09564,
        1.1669,
        0.977171,
        1.04011,
        1.12399,
        1.15422,
        1.07568,
        1.20274,
        1.13297,
        1.08759,
        1.17093,
        1.18998,
        1.12791,
        1.12729,
        1.1572,
        1.08042,
        1.1332,
        1.09347,
        1.06102,
        1.12571,
        1.15309,
        1.14997,
        1.10995,
        1.06303,
        1.13181,
        1.15467,
        1.1129,
        1.08921,
        1.20447,
        1.16148,
        1.03546,
        0.951844,
        0.986127,
        1.11887,
        1.09589,
        1.12133,
        1.18738,
        1.15099,
        1.09741,
        1.03903,
        1.01123,
        1.04051,
        1.00871,
        1.04003,
        1.02474,
        0.952681,
        0.985127,
        0.998063,
        0.969975,
        0.937561,
        0.96611,
        1.09966,
        1.13867,
        1.12675,
        1.10093,
        1.06098,
        1.05551,
        1.01733,
        0.96148,
        0.983055,
        1.00219,
        0.962155,
        0.911496,
        0.907408,
        0.917336,
        0.998781,
        1.05663,
        1.05082,
        1.00313,
        1.04961,
        1.03275,
        0.972741,
        0.954964,
        0.917129,
        0.942996,
        0.977694,
        0.980913,
        1.00111,
        0.928744,
        0.862757,
        0.850355,
        0.925481,
        1.00577,
        1.01221,
        0.964714,
        0.901515,
        0.864558,
        0.865542,
        0.913105,
        0.982326,
        0.924941,
        0.932519,
        0.966448,
        0.993865,
        0.969456,
        0.937614,
        0.973804,
        0.977071,
        0.887947,
        0.919111,
        0.982006,
        0.993731,
        0.967492,
        1.02464,
        0.99339,
        0.968329,
        1.00419,
        1.14131,
        1.0678,
        1.05999,
        1.06408,
        1.05428,
        1.04509,
        1.03638,
        0.997209,
        0.963681,
        1.01417,
        0.912925,
        0.947163,
        1.01233,
        1.01102,
        0.927025,
        0.880552,
        0.947307,
        1.06642,
        0.985813,
        1.0101,
        1.03262,
        1.05618,
        1.09769,
        1.04086,
        1.05263,
        1.10261,
        1.15648,
        1.12009,
        1.1036,
        1.07549,
        1.0478,
        1.05569,
        0.999801,
        1.00397,
        1.02631,
        1.02828,
        1.02697,
        1.04395,
        1.04499,
        1.0267,
        1.01634,
        0.969367,
        0.967139,
        1.01074,
        1.08587,
        1.11573,
        1.11,
        1.04812,
        0.961028,
        1.0427,
        1.1102,
        1.11995,
        1.0968,
        1.10223,
        1.12077,
        1.14555,
        1.15234,
        1.11867,
        1.02027,
        1.05248,
        1.07604,
        1.06417,
        1.07423,
        1.04983,
        0.991501,
        0.961958,
        1.02252,
        0.990556,
        0.794571,
        0.725379,
        0.808004,
        0.472815,
        0.824265,
        0.955802,
        0.852907,
        0.848016,
        0.988611,
        1.01396,
        1.02808,
        1.09185,
        0.982812,
        0.958903,
        0.959175,
        0.962796,
        0.967984,
        0.928729,
        0.939285,
        0.977701,
        1.00536,
        1.00616,
        1.00742,
        0.97758,
        0.926258,
        0.965276,
        0.977529,
        0.989932,
        1.00492,
        1.01863,
        1.01742,
        0.961729,
        0.958826,
        1.04835,
        0.949565,
        0.898828,
        0.904975,
        0.954343,
        1.00245,
        0.955275,
        0.979508,
        1.01269,
        0.98528,
        0.985452,
        0.932993,
        0.940144,
        1.01429,
        0.990976,
        0.967795,
        0.96602,
        0.970265,
        0.951386,
        0.981302,
        0.970782,
        0.978327,
        1.02286,
        0.999354,
        1.00107,
        0.962326,
        0.913506,
        0.958664,
        1.00803,
        0.995252,
        0.970778,
        0.984655,
        1.04946,
        1.01507,
        0.953401,
        0.913459,
        0.955387,
        0.921676,
        0.942396,
        1.00134,
        1.04702,
        0.944994,
        0.967347,
        0.994293,
        0.975722,
        0.994173,
        0.942334,
        0.997286,
        1.09755,
        1.05496,
        1.01609,
        0.987978,
        1.00751,
        1.08747,
        1.07218,
        1.008,
        0.955872,
        0.938393,
        0.960172,
        0.941611,
        0.960306,
        0.996424,
        1.01606,
        1.01928,
        1.0907,
        1.08535,
        0.997833,
        1.07843,
        1.04051,
        0.988271,
        0.95562,
        0.963637,
        1.07027,
        1.12243,
        1.11125,
        1.05558,
        1.13313,
        1.08175,
        1.04625,
        1.07107,
        1.16222,
        1.14132,
        1.08294,
        1.02373,
        1.00375,
        1.11112,
        1.13021,
        1.13336,
        1.14055,
        1.12314,
        1.05336,
        1.0768,
        1.13006,
        1.09907,
        1.04908,
        1.08064,
        1.13322,
        1.16167,
        1.10857,
        1.0223,
        1.0422,
        1.1345,
        1.17522,
        1.10642,
        1.15512,
        1.20035,
        1.15429,
        1.07382,
        1.04397,
        1.09159,
        1.17062,
        1.13978,
        1.12797,
        1.18848,
        1.23338,
        1.17094,
        1.13136,
        1.07378,
        1.11576,
        1.22796,
        1.09967,
        1.17727,
        1.19057,
        1.15671,
        1.16783,
        1.10899,
        1.19743,
        1.2751,
        1.25466,
        1.23576,
        1.18833,
        1.14446,
        1.13488,
        1.20877,
        1.2043,
        1.1996,
        1.18524,
        1.15744,
        1.1883,
        1.13434,
        1.10199,
        1.13319,
        1.24296,
        1.13515,
        1.10918,
        1.11689,
        1.07306,
        1.20621,
        1.17242,
        1.15134,
        1.1905,
        1.10845,
        1.17398,
        1.20016,
        1.20684,
        1.27868,
        1.18583,
        1.1538,
        1.15859,
        1.18208,
        1.2226,
        1.28909,
        1.32101,
        1.3178,
        1.31528,
        1.29311,
        1.29035,
        1.26637,
        1.17788,
        1.13916,
        1.14002,
        1.03684,
        1.07018,
        1.16615,
        1.23524,
        1.11724,
        1.11943,
        1.17112,
        1.22126,
        1.20212,
        1.15554,
        1.1064,
        1.12099,
        1.24896,
        1.12437,
        1.12045,
        1.14875,
        1.15042,
        1.04918,
        1.15342,
        1.23566,
        1.23516,
        1.12754,
        1.20826,
        1.20988,
        1.21969,
        1.26964,
        1.22093,
        1.13452,
        1.08803,
        1.09797,
        1.1534,
        1.02753,
        0.989811,
        1.03021,
        1.11645,
        1.1609,
        1.10969,
        1.0871,
        1.10987,
        1.12074,
        1.11795,
        1.18839,
        1.21748,
        1.091,
        1.2071,
        1.18404,
        1.13189,
        1.10036,
        1.08751,
        1.11259,
        1.03755,
        0.949203,
        1.0042,
        0.993363,
        0.975015,
        1.01739,
        1.12911,
        1.1437,
        1.16731,
        1.19408,
        1.20612,
        1.17581,
        1.07396,
        1.01661,
        1.01536,
        1.07561,
        1.18193,
        1.11526,
        1.0779,
        1.11203,
        0.986153,
        1.00346,
        1.00532,
        1.0134,
        1.1469,
        1.0823,
        1.05222,
        1.03973,
        1.02858,
        1.05546,
        1.07969,
        1.08477,
        1.06605,
        1.02589,
        0.994652,
        0.991928,
        0.980328,
        0.924374,
        0.911126,
        0.968573,
        1.00558,
        1.00593,
        1.04158,
        0.993229,
        0.98569,
        1.02921,
        1.10712,
        1.01627,
        1.01407,
        1.04993,
        1.06631,
        0.929592,
        0.953163,
        0.957594,
        0.939324,
        0.950172,
        1.03329,
        0.986381,
        0.915764,
        0.891718,
        0.890316,
        0.951609,
        0.930568,
        0.881158,
        0.968239,
        0.971702,
        0.954634,
        0.981154,
        1.08468,
        1.09819,
        0.960561,
        0.889089,
        0.930877,
        1.01202,
        0.899419,
        0.890086,
        0.962901,
        1.06041,
        1.08618,
        1.06816,
        1.04393,
        1.03403,
        1.05437,
        0.999866,
        1.03746,
        1.05291,
        0.912766,
        0.999815,
        0.944847,
        0.90991,
        0.96925,
        1.05886
    ],
    "flux_error": [
        0.0393003,
        0.04109,
        0.0428798,
        0.0446696,
        0.0480354,
        0.056206,
        0.0535232,
        0.0630256,
        0.0707968,
        0.0907096,
        0.114296,
        0.0967238,
        0.099779,
        0.120421,
        0.105127,
        0.0917001,
        0.0798506,
        0.0708908,
        0.0668042,
        0.0614676,
        0.0468387,
        0.0436692,
        0.0435167,
        0.041109,
        0.0375854,
        0.0411489,
        0.0420752,
        0.0398525,
        0.0408709,
        0.0432693,
        0.0416626,
        0.0327765,
        0.0399678,
        0.0369747,
        0.0351131,
        0.0371222,
        0.0405782,
        0.0410012,
        0.0395753,
        0.0393709,
        0.032947,
        0.029975,
        0.0312022,
        0.0310391,
        0.0349091,
        0.0344459,
        0.0326977,
        0.0313812,
        0.030224,
        0.029758,
        0.0350921,
        0.0282362,
        0.030662,
        0.0333241,
        0.0322455,
        0.0295707,
        0.0325379,
        0.0296683,
        0.0260928,
        0.0265056,
        0.0282872,
        0.0287091,
        0.0281764,
        0.0315061,
        0.027087,
        0.0255231,
        0.0295185,
        0.0341327,
        0.0317946,
        0.0278287,
        0.0356061,
        0.0343689,
        0.0301163,
        0.0288425,
        0.0313672,
        0.0292209,
        0.0258306,
        0.0274182,
        0.027816,
        0.0277193,
        0.0297944,
        0.0331855,
        0.0258866,
        0.0270323,
        0.0277646,
        0.0290974,
        0.0310729,
        0.0289146,
        0.0290802,
        0.0281709,
        0.0281406,
        0.0310361,
        0.0329112,
        0.0279497,
        0.0330758,
        0.0351645,
        0.0327143,
        0.02904,
        0.0277974,
        0.0292292,
        0.0234921,
        0.0254388,
        0.0276894,
        0.0278795,
        0.0275377,
        0.0277024,
        0.0239489,
        0.0262102,
        0.0270003,
        0.0292316,
        0.0296442,
        0.0272639,
        0.0284784,
        0.0402133,
        0.0309243,
        0.0280483,
        0.0293424,
        0.028209,
        0.0236015,
        0.025231,
        0.0268399,
        0.0298024,
        0.0276293,
        0.0253864,
        0.0319654,
        0.02806,
        0.0290292,
        0.0262902,
        0.0249608,
        0.0255803,
        0.0268322,
        0.0319502,
        0.0257743,
        0.0323874,
        0.0306919,
        0.0275176,
        0.0301181,
        0.0308202,
        0.0337111,
        0.0287761,
        0.0290056,
        0.0317483,
        0.0317761,
        0.0277043,
        0.032948,
        0.0348989,
        0.0330101,
        0.0338592,
        0.0367861,
        0.0363654,
        0.0348134,
        0.0395049,
        0.0379834,
        0.0415967,
        0.0445719,
        0.0406297,
        0.042074,
        0.0358879,
        0.037833,
        0.0355956,
        0.033064,
        0.0354062,
        0.0404953,
        0.0364064,
        0.0323892,
        0.0338618,
        0.0325739,
        0.0280056,
        0.0283602,
        0.0269676,
        0.0309288,
        0.0333464,
        0.0348626,
        0.0347532,
        0.0323316,
        0.0304003,
        0.0346463,
        0.0363003,
        0.0357869,
        0.0364881,
        0.0415398,
        0.0503578,
        0.0462988,
        0.0539535,
        0.0757074,
        0.0853545,
        0.0663549,
        0.0507348,
        0.0472409,
        0.0377527,
        0.0370209,
        0.0382407,
        0.0323656,
        0.030204,
        0.0333906,
        0.0291786,
        0.0284718,
        0.0327228,
        0.0344261,
        0.0241669,
        0.0283298,
        0.0379885,
        0.0352366,
        0.0308582,
        0.0288468,
        0.0251744,
        0.0294807,
        0.0361118,
        0.0341215,
        0.0310708,
        0.0333181,
        0.0387904,
        0.0304186,
        0.0298679,
        0.0310168,
        0.0312493,
        0.0289658,
        0.0243719,
        0.0198041,
        0.0224863,
        0.0259121,
        0.0274325,
        0.0279992,
        0.0284714,
        0.0284399,
        0.0258763,
        0.0292531,
        0.0293071,
        0.0271136,
        0.026856,
        0.0308186,
        0.0331076,
        0.0298025,
        0.0277761,
        0.0259231,
        0.0243471,
        0.0253003,
        0.0314452,
        0.0205231,
        0.0209484,
        0.0217069,
        0.0240142,
        0.0274717,
        0.0287624,
        0.027113,
        0.0281255,
        0.0280208,
        0.0283893,
        0.0277988,
        0.0253888,
        0.0259697,
        0.0326449,
        0.0310504,
        0.0264546,
        0.0219093,
        0.0215927,
        0.0294785,
        0.0230778,
        0.0230348,
        0.0300668,
        0.0295266,
        0.0235763,
        0.025195,
        0.0249965,
        0.0221867,
        0.0215463,
        0.0231235,
        0.0257007,
        0.0280657,
        0.0298299,
        0.0225539,
        0.0220072,
        0.0225451,
        0.0259069,
        0.0281718,
        0.0194502,
        0.0206642,
        0.0213186,
        0.0230182,
        0.0251737,
        0.0269462,
        0.0272329,
        0.0234521,
        0.0229487,
        0.0257492,
        0.0241942,
        0.0220918,
        0.0241918,
        0.0262816,
        0.0212012,
        0.0219226,
        0.0239482,
        0.0251343,
        0.0259455,
        0.0287529,
        0.0329504,
        0.0250113,
        0.0233903,
        0.0229615,
        0.0238614,
        0.027071,
        0.0221174,
        0.0250854,
        0.0263751,
        0.0253999,
        0.0252146,
        0.0273619,
        0.028746,
        0.0266638,
        0.0238418,
        0.023692,
        0.0240694,
        0.0238585,
        0.0238502,
        0.0244252,
        0.0219879,
        0.0265277,
        0.0267324,
        0.0231613,
        0.0232112,
        0.0319543,
        0.0397429,
        0.031651,
        0.0263351,
        0.0228537,
        0.0205141,
        0.0241334,
        0.0266663,
        0.0246942,
        0.0271821,
        0.0300942,
        0.0301884,
        0.0268981,
        0.0218889,
        0.0250572,
        0.0249505,
        0.027282,
        0.0270388,
        0.022214,
        0.0220306,
        0.0248937,
        0.0313464,
        0.0333903,
        0.0313083,
        0.026329,
        0.0204795,
        0.0228437,
        0.0215836,
        0.0256097,
        0.026917,
        0.0277125,
        0.0299376,
        0.0240548,
        0.0200201,
        0.022124,
        0.0197754,
        0.0167676,
        0.0213001,
        0.0357538,
        0.027305,
        0.0315045,
        0.0267571,
        0.0234771,
        0.0245214,
        0.0273695,
        0.0339933,
        0.0251484,
        0.0252282,
        0.0254901,
        0.0262829,
        0.0268464,
        0.0223049,
        0.023987,
        0.0232565,
        0.0234089,
        0.0229874,
        0.0215613,
        0.0201478,
        0.0200052,
        0.0267541,
        0.0255145,
        0.024631,
        0.0261139,
        0.0282056,
        0.0285296,
        0.0281358,
        0.0269867,
        0.0257622,
        0.0274458,
        0.0289871,
        0.0265676,
        0.0346011,
        0.0330221,
        0.0297667,
        0.0248038,
        0.0209041,
        0.0213238,
        0.0271818,
        0.0305065,
        0.0260563,
        0.0250149,
        0.0274584,
        0.0283275,
        0.02318,
        0.0211416,
        0.0263606,
        0.0242026,
        0.0235361,
        0.0249931,
        0.0254934,
        0.0268622,
        0.0283617,
        0.0349519,
        0.0293876,
        0.026258,
        0.0291824,
        0.0246568,
        0.0303391,
        0.0340216,
        0.0312546,
        0.0258216,
        0.0232896,
        0.0254422,
        0.0246767,
        0.0252108,
        0.0263591,
        0.0252435,
        0.0270053,
        0.0306654,
        0.028017,
        0.0303443,
        0.0281163,
        0.0238167,
        0.0246809,
        0.0266981,
        0.02617,
        0.0386805,
        0.0295382,
        0.0271051,
        0.0274311,
        0.0296133,
        0.0318343,
        0.0308419,
        0.0307036,
        0.0329919,
        0.0304258,
        0.0291953,
        0.0324111,
        0.039713,
        0.0497646,
        0.0420856,
        0.042169,
        0.0430125,
        0.0436774,
        0.0431595,
        0.0385915,
        0.0346162,
        0.0355459,
        0.0315651,
        0.0342885,
        0.0381742,
        0.0339677,
        0.0404075,
        0.0330716,
        0.0292111,
        0.0312009,
        0.0319773,
        0.0297923,
        0.0327722,
        0.036286,
        0.0341544,
        0.0318067,
        0.0325233,
        0.0347684,
        0.0333494,
        0.0231462,
        0.0240931,
        0.0248476,
        0.0249177,
        0.0244424,
        0.024965,
        0.0284133,
        0.030026,
        0.0327931,
        0.0309116,
        0.0274502,
        0.0256081,
        0.0258279,
        0.0236217,
        0.029114,
        0.0273587,
        0.0273227,
        0.026571,
        0.024841,
        0.0274837,
        0.0290061,
        0.0360906,
        0.0294454,
        0.0261431,
        0.0283665,
        0.0283196,
        0.023624,
        0.0331152,
        0.0290358,
        0.0276693,
        0.0273802,
        0.0272773,
        0.0303848,
        0.0234942,
        0.0283425,
        0.0283519,
        0.0299954,
        0.0319362,
        0.0308958,
        0.0310793,
        0.0232296,
        0.0272288,
        0.0278534,
        0.0302749,
        0.0345194,
        0.032823,
        0.0283696,
        0.0264931,
        0.0263508,
        0.0282847,
        0.0311756,
        0.0326959,
        0.0308463,
        0.0367458,
        0.0319971,
        0.034617,
        0.0380519,
        0.0346089,
        0.0279841,
        0.0462341,
        0.0385881,
        0.0412985,
        0.0448662,
        0.0424101,
        0.0367094,
        0.0407964,
        0.049235,
        0.0541511,
        0.0577024,
        0.0643566,
        0.0777126,
        0.0950343,
        0.0996308,
        0.108906,
        0.0795847,
        0.0702794,
        0.0713328,
        0.0600691,
        0.0521535,
        0.0514575,
        0.0429764,
        0.0397549,
        0.0365645,
        0.0362807,
        0.03646,
        0.0395366,
        0.0430732,
        0.0340409,
        0.0393292,
        0.0426109,
        0.04276,
        0.0450372,
        0.106482,
        0.0844519,
        0.0722583,
        0.0675175,
        0.0510321,
        0.0514259,
        0.0420011,
        0.0350199,
        0.0351857,
        0.0365276,
        0.036227,
        0.0377574,
        0.033424,
        0.0291388,
        0.0307604,
        0.0288567,
        0.026503,
        0.0280594,
        0.0270553,
        0.0322999,
        0.0326598,
        0.0293565,
        0.0271882,
        0.027458,
        0.0282298,
        0.0304901,
        0.0357215,
        0.0334709,
        0.0276999,
        0.0254793,
        0.0283578,
        0.0292519,
        0.0237543,
        0.0258057,
        0.0290611,
        0.0286943,
        0.0273375,
        0.0280282,
        0.0244825,
        0.0320995,
        0.0289344,
        0.0279415,
        0.0274776,
        0.0260966,
        0.0263585,
        0.0285934,
        0.0229278,
        0.0206104,
        0.0230633,
        0.0265907,
        0.0266658,
        0.0224883,
        0.0274312,
        0.028881,
        0.0228838,
        0.0232194,
        0.0263202,
        0.0228151,
        0.0271423,
        0.026491,
        0.0322735,
        0.0322962,
        0.0294285,
        0.0262157,
        0.0214521,
        0.023834,
        0.0324968,
        0.0317712,
        0.0319027,
        0.0311547,
        0.0266382,
        0.026262,
        0.0326683,
        0.0263622,
        0.0261852,
        0.0267933,
        0.0259551,
        0.0267399,
        0.0290358,
        0.0288167,
        0.0303731,
        0.0284734,
        0.0261742,
        0.0252289,
        0.0234961,
        0.0244389,
        0.0251072,
        0.0262204,
        0.0278907,
        0.0274159,
        0.0244252,
        0.024523,
        0.0261452,
        0.0242026,
        0.0246997,
        0.0261714,
        0.0251264,
        0.0223139,
        0.0299928,
        0.0275801,
        0.0313469,
        0.0284657,
        0.0248535,
        0.0244558,
        0.0225339,
        0.0234043,
        0.0286062,
        0.0257874,
        0.0225541,
        0.0236775,
        0.0270045,
        0.0251603,
        0.0272612,
        0.0260727,
        0.0268185,
        0.0264821,
        0.0256293,
        0.0261737,
        0.0235963,
        0.0202083,
        0.0286378,
        0.0281683,
        0.0268094,
        0.0276871,
        0.0235664,
        0.0329845,
        0.0428584,
        0.0374828,
        0.0360379,
        0.0358263,
        0.0310967,
        0.0356553,
        0.0332052,
        0.0359961,
        0.0363206,
        0.0409576,
        0.0440583,
        0.042217,
        0.0399355,
        0.0394488,
        0.0391118,
        0.0423929,
        0.0445147,
        0.0446233,
        0.0451528,
        0.0461013,
        0.0439341,
        0.0517519,
        0.0559918,
        0.0527109,
        0.052932,
        0.067461,
        0.048882,
        0.0661684,
        0.064774,
        0.0600512,
        0.0620438,
        0.0692772,
        0.0808783,
        0.0860506,
        0.0915185,
        0.0922507,
        0.0939277,
        0.100797,
        0.201774,
        0.226269,
        0.238951,
        0.0888006,
        0.094179,
        0.09031,
        0.0848573,
        0.0830247,
        0.0747835,
        0.0668229,
        0.067622,
        0.0500953,
        0.042827,
        0.0513449,
        0.0543022,
        0.0493494,
        0.0437656,
        0.0463617,
        0.0406627,
        0.0384157,
        0.0337475,
        0.0322989,
        0.0385379,
        0.0449393,
        0.0382548,
        0.0399788,
        0.0368209,
        0.038142,
        0.0337758,
        0.0317329,
        0.0391589,
        0.0381074,
        0.0293703,
        0.0293943,
        0.0368092,
        0.0377252,
        0.0333888,
        0.0366004,
        0.034598,
        0.0319229,
        0.0415088,
        0.0401943,
        0.0363901,
        0.0369903,
        0.038095,
        0.0378496,
        0.039689,
        0.0315894,
        0.0357657,
        0.0409563,
        0.0384209,
        0.0337078,
        0.0410616,
        0.0352683,
        0.0337677,
        0.034899,
        0.0373109,
        0.0413429,
        0.0465628,
        0.0442373,
        0.043919,
        0.0462998,
        0.0466672,
        0.0450318,
        0.0439713,
        0.0550751,
        0.0472916,
        0.0597023,
        0.0587082,
        0.0504695,
        0.0454695,
        0.045173,
        0.0404763,
        0.0439235,
        0.0375081,
        0.0357114,
        0.0375802,
        0.0391021,
        0.0389108,
        0.0383997,
        0.0303875,
        0.0379335,
        0.0338569,
        0.0306713,
        0.0356447,
        0.0318909,
        0.0304249,
        0.0328807,
        0.0307851,
        0.0310348,
        0.0313237,
        0.0298034,
        0.0315418,
        0.0317925,
        0.0334359,
        0.0281567,
        0.0260224,
        0.0298994,
        0.0333448,
        0.0271361,
        0.0314019,
        0.0318654,
        0.0319998,
        0.0323683,
        0.0334713,
        0.0341023,
        0.0286056,
        0.0355236,
        0.0342764,
        0.0311003,
        0.0302587,
        0.0333853,
        0.0365592,
        0.0267053,
        0.0305759,
        0.0341535,
        0.0310799,
        0.0287589,
        0.0303158,
        0.0304213,
        0.0308488,
        0.0301982,
        0.0332276,
        0.035428,
        0.0339555,
        0.0303315,
        0.0301495,
        0.035703,
        0.0321888,
        0.0287461,
        0.0272337,
        0.0293987,
        0.0320776,
        0.0261449,
        0.0291946,
        0.0310352,
        0.0296399,
        0.0289552,
        0.0277666,
        0.0262177,
        0.031502,
        0.0315965,
        0.0345977,
        0.0343457,
        0.0339717,
        0.0320966,
        0.027501,
        0.0285548,
        0.0286212,
        0.0320052,
        0.0351457,
        0.0306315,
        0.0262365,
        0.0299568,
        0.0296111,
        0.0368498,
        0.0330033,
        0.0289256,
        0.0284537,
        0.0307928,
        0.03218,
        0.0282009,
        0.0297637,
        0.0341023,
        0.0327057,
        0.0279511,
        0.0268052,
        0.0318298,
        0.0344628,
        0.0310122,
        0.0289218,
        0.0292112,
        0.0293216,
        0.0306377,
        0.0383252,
        0.0308063,
        0.0394899,
        0.0332869,
        0.0284886,
        0.0300996,
        0.0334974,
        0.0328696,
        0.0346845,
        0.0341978,
        0.0301222,
        0.0286803,
        0.0313699,
        0.0341045,
        0.0330517,
        0.032945,
        0.0369742,
        0.0356827,
        0.0314201,
        0.0293333,
        0.0318875,
        0.0317302,
        0.0299175,
        0.0285578,
        0.0311739,
        0.0314696,
        0.0309063,
        0.0331916,
        0.0290191,
        0.0327692,
        0.0314764,
        0.0304245,
        0.0328522,
        0.0344534,
        0.0333219,
        0.0376341,
        0.0318411,
        0.0322362,
        0.0324634,
        0.0343047,
        0.0359569,
        0.0341017,
        0.028143,
        0.0271471,
        0.0296123,
        0.0314293,
        0.0294923,
        0.0306258,
        0.0389132,
        0.033865,
        0.036082,
        0.0329594,
        0.031778,
        0.0299708,
        0.0285274,
        0.0332342,
        0.0342074,
        0.030844,
        0.0337203,
        0.0329491,
        0.0297308,
        0.0311896,
        0.0377863,
        0.038961,
        0.0340835,
        0.0315167,
        0.0286476,
        0.0279304,
        0.0305293,
        0.033928,
        0.0331546,
        0.0268809,
        0.0297421,
        0.0319412,
        0.0328859,
        0.0329788,
        0.0350213,
        0.032537,
        0.0334872,
        0.0349359,
        0.0361025,
        0.0345794,
        0.0335628,
        0.0336235,
        0.0303436,
        0.0344645,
        0.0372584,
        0.0360311,
        0.0305921,
        0.0294115,
        0.0339662,
        0.0316427,
        0.031752,
        0.0303587,
        0.0293959,
        0.0310629,
        0.0336063,
        0.0315993,
        0.036494,
        0.0330054,
        0.0324617,
        0.0324587,
        0.0324682,
        0.0311193,
        0.0315739,
        0.0304537,
        0.0316043,
        0.0309936,
        0.0293108,
        0.031513,
        0.0331206,
        0.0325529,
        0.0337494,
        0.034403,
        0.032907,
        0.0339709,
        0.0352281,
        0.0325205,
        0.0353309,
        0.0413633,
        0.039625,
        0.0351307,
        0.0318601,
        0.0297474,
        0.0298085,
        0.0300861,
        0.02982,
        0.0272031,
        0.0296805,
        0.0326235,
        0.0316721,
        0.0289243,
        0.0347585,
        0.033207,
        0.0331935,
        0.0319533,
        0.0303343,
        0.0337928,
        0.0348129,
        0.0300833,
        0.0329831,
        0.0330669,
        0.0351623,
        0.0320306,
        0.0331102,
        0.0341251,
        0.0310834,
        0.0404416,
        0.0405441,
        0.0323632,
        0.0306203,
        0.0305485,
        0.0287774,
        0.029816,
        0.0352878,
        0.0327748,
        0.0322355,
        0.0354513,
        0.0380568,
        0.0418009,
        0.0399537,
        0.0406369,
        0.0354075,
        0.0341112,
        0.0355087,
        0.039154,
        0.0395819,
        0.0397512,
        0.0350027,
        0.0383748,
        0.0393363,
        0.0364941,
        0.0345484,
        0.0330482,
        0.0333149,
        0.0336468,
        0.0368734,
        0.0339252,
        0.0326811,
        0.0337962,
        0.0372576,
        0.0401759,
        0.0371497,
        0.0326802,
        0.0333592,
        0.034363,
        0.0336783,
        0.0329455,
        0.0299743,
        0.0305028,
        0.0300902,
        0.0342812,
        0.0378678,
        0.0333547,
        0.0284148,
        0.0312517,
        0.0343834,
        0.0361036,
        0.0324285,
        0.0348631,
        0.0356584,
        0.0297359,
        0.0261166,
        0.0317288,
        0.0308788,
        0.0349153,
        0.0334602,
        0.0313623,
        0.0299901,
        0.0342289,
        0.0351518,
        0.0348543,
        0.0330412,
        0.0292665,
        0.0297028,
        0.0311839,
        0.0318333,
        0.0343617,
        0.0311351,
        0.0308733,
        0.033755,
        0.032026,
        0.0296399,
        0.0306676,
        0.0332984,
        0.0308795,
        0.0273577,
        0.0300408,
        0.0311332,
        0.0283355,
        0.0265373,
        0.0290401,
        0.0270682,
        0.0305288,
        0.0299599,
        0.0518746,
        0.0510314,
        0.0495555,
        0.0447043,
        0.0452002,
        0.0450228,
        0.0440967,
        0.0535804,
        0.0476378,
        0.0526658,
        0.0572868,
        0.0545843,
        0.0531798,
        0.0563305,
        0.053228,
        0.0519248,
        0.0476139,
        0.0488433,
        0.0552419,
        0.0545538,
        0.0460927,
        0.0476899,
        0.04957,
        0.0440639,
        0.0496522,
        0.0498036,
        0.0490619,
        0.0536358,
        0.0560153,
        0.0535979,
        0.0467185,
        0.0403001,
        0.0440172,
        0.0493014,
        0.0485282,
        0.0471085,
        0.0600758,
        0.0646783,
        0.0559137,
        0.0499555,
        0.0513566,
        0.0544651,
        0.0504988,
        0.04137,
        0.044265,
        0.0517129,
        0.0553394,
        0.0542188,
        0.0486334,
        0.0401734,
        0.0441339,
        0.0575853,
        0.0494697,
        0.045909,
        0.0451865,
        0.0471968,
        0.0554653,
        0.0374962,
        0.043116,
        0.0510154,
        0.0510307,
        0.0487846,
        0.0483041,
        0.0474273,
        0.0509612,
        0.0595358,
        0.0583695,
        0.0503029,
        0.0495025,
        0.0546215,
        0.0527651,
        0.0515757,
        0.0558375,
        0.0525746,
        0.0575744,
        0.0588079,
        0.0538417,
        0.0522712,
        0.0502057,
        0.0623093,
        0.0613504,
        0.0516534,
        0.0485028,
        0.0531082,
        0.0554319,
        0.0542711,
        0.052073,
        0.05333,
        0.0566719,
        0.0573178,
        0.0554574,
        0.0541886,
        0.0538415,
        0.0561638,
        0.0577814,
        0.051602,
        0.0489571,
        0.0483123,
        0.0456194,
        0.0552803,
        0.0513028,
        0.0558292,
        0.0581205,
        0.0511847,
        0.0473398,
        0.0552846,
        0.0561921,
        0.0509618,
        0.0505011,
        0.0493964,
        0.0532411,
        0.0573258,
        0.0558743,
        0.0524791,
        0.0542188,
        0.0568151,
        0.0551299,
        0.0565033,
        0.0552003,
        0.0470582,
        0.0413576,
        0.0497682,
        0.0467648,
        0.048038,
        0.0506814,
        0.0592478,
        0.0660815,
        0.0548276,
        0.0611449,
        0.0563019,
        0.0534509,
        0.0399561,
        0.0549174,
        0.0527346,
        0.0522047,
        0.0556067,
        0.052277,
        0.0483248,
        0.0464631,
        0.0492601,
        0.0567686,
        0.0553192,
        0.0499959,
        0.053233,
        0.052721,
        0.046456,
        0.0498069,
        0.0563968,
        0.0529933,
        0.0510844,
        0.0616508,
        0.060918,
        0.0622519,
        0.0522949,
        0.0447405,
        0.0534001,
        0.0590674,
        0.0494159,
        0.0537379,
        0.0592147,
        0.0506867,
        0.0480177,
        0.057967,
        0.0626724,
        0.0528247,
        0.0494615,
        0.0646344,
        0.0625409,
        0.050303,
        0.0452452,
        0.0476778,
        0.0518152,
        0.0556088,
        0.0598689,
        0.0638499,
        0.063365,
        0.0637261,
        0.0638159,
        0.0651421,
        0.0723599,
        0.084267,
        0.072499,
        0.0721469,
        0.0762749,
        0.0902134,
        0.105517,
        0.106843,
        0.0984001,
        0.0768333,
        0.0693601,
        0.0749396,
        0.0855446,
        0.0840706,
        0.066176,
        0.0633606,
        0.0729122,
        0.0671005,
        0.0619681,
        0.0605037,
        0.065267,
        0.0725331,
        0.0706128,
        0.0724591,
        0.0681817,
        0.0640091,
        0.0686026,
        0.0793985,
        0.0848583,
        0.0766305,
        0.0878365,
        0.0899235,
        0.0885098,
        0.0956831,
        0.106458,
        0.116534,
        0.131568,
        0.158924,
        0.203613,
        0.190677,
        0.153055,
        0.125957,
        0.125792,
        0.120693,
        0.0954328,
        0.0916912,
        0.0930372,
        0.0926737,
        0.097336,
        0.0906123,
        0.0717688,
        0.0788988,
        0.0730111,
        0.068525,
        0.0656957,
        0.0594985,
        0.0646205,
        0.067495,
        0.0604369,
        0.052603,
        0.0557972,
        0.0638114,
        0.0647052,
        0.0558459,
        0.057648,
        0.0569012,
        0.0595401,
        0.0534461,
        0.0491802,
        0.0509966,
        0.0475631,
        0.0442624,
        0.0536804,
        0.0532573,
        0.0604906,
        0.0621593,
        0.0556915,
        0.0535423,
        0.0588381,
        0.0634444,
        0.0455015,
        0.0431133,
        0.0460468,
        0.0516473,
        0.0605783,
        0.0590842,
        0.0501546,
        0.0566992,
        0.0526077,
        0.051433,
        0.0575633,
        0.0610028,
        0.0489512,
        0.0497548,
        0.0479395,
        0.039997,
        0.0503041,
        0.0524684,
        0.0439474,
        0.0530169,
        0.0481194,
        0.0554517,
        0.0615428,
        0.0553975,
        0.0479225,
        0.0471361,
        0.0494404,
        0.0438763,
        0.0471475,
        0.0504087,
        0.0483044,
        0.0451367,
        0.0439096,
        0.0424378,
        0.0370142,
        0.0515654,
        0.000897709,
        0.0115978,
        0.0216915,
        0.0305144,
        0.0378949,
        0.0375806,
        0.02999,
        0.0319864,
        0.0365719,
        0.032598,
        0.0374967,
        0.0345637,
        0.0341634,
        0.0364694,
        0.0346377,
        0.0334631,
        0.0341939,
        0.034802,
        0.0370482,
        0.0376777,
        0.0411303,
        0.0448196,
        0.0409181,
        0.0401148,
        0.046142,
        0.0483594,
        0.0553314,
        0.0572414,
        0.0629705,
        0.0723642,
        0.0888266,
        0.102273,
        0.107333,
        0.131188,
        0.111438,
        0.0930862,
        0.0732371,
        0.0568719,
        0.0482297,
        0.0522393,
        0.0527199,
        0.0494171,
        0.0484441,
        0.0450824,
        0.0372472,
        0.0426923,
        0.0419969,
        0.0381572,
        0.0380734,
        0.0383509,
        0.0362825,
        0.0387778,
        0.0408267,
        0.0404989,
        0.0377225,
        0.0399563,
        0.0398826,
        0.0355923,
        0.0333309,
        0.0333975,
        0.0345561,
        0.0378962,
        0.0374318,
        0.0394334,
        0.0400471,
        0.0387933,
        0.0405093,
        0.0382939,
        0.0404797,
        0.034397,
        0.0354697,
        0.0341318,
        0.033528,
        0.0352151,
        0.040061,
        0.0358168,
        0.033164,
        0.0373011,
        0.0398057,
        0.0392867,
        0.0384163,
        0.0406753,
        0.0386868,
        0.042718,
        0.0354782,
        0.0344764,
        0.0334233,
        0.0340409,
        0.0386374,
        0.0413032,
        0.0453845,
        0.0439535,
        0.0437637,
        0.0398128,
        0.0408923,
        0.0434103,
        0.0439983,
        0.0515966,
        0.0473203,
        0.0481635,
        0.0481978,
        0.0458271,
        0.0461873,
        0.0501417,
        0.0552688,
        0.0546866,
        0.0509272,
        0.0537686,
        0.05433,
        0.055604,
        0.0607136,
        0.0634583,
        0.0656121,
        0.0711928,
        0.0728091,
        0.0850515,
        0.0836187,
        0.0902848,
        0.102622,
        0.111872,
        0.124784,
        0.146727,
        0.131039,
        0.160088,
        0.130809,
        0.124688,
        0.113648,
        0.10086,
        0.087191,
        0.0705333,
        0.0675902,
        0.0676583,
        0.0646979,
        0.0654317,
        0.0617046,
        0.0562651,
        0.0541057,
        0.0533689,
        0.0528919,
        0.045889,
        0.0481286,
        0.0503486,
        0.0467245,
        0.0419943,
        0.0422308,
        0.0469554,
        0.0494616,
        0.0462901,
        0.0460669,
        0.0505765,
        0.0471826,
        0.0428872,
        0.0421003,
        0.0427439,
        0.044899,
        0.0412017,
        0.0426282,
        0.0414161,
        0.0439621,
        0.0442668,
        0.0411882,
        0.0410611,
        0.0452461,
        0.0407453,
        0.0514756,
        0.0565141,
        0.0554324,
        0.05928,
        0.0680044,
        0.0691277,
        0.0737954,
        0.080432,
        0.0746277,
        0.0765895,
        0.0825822,
        0.0837851,
        0.0804807,
        0.0759016,
        0.063865,
        0.063625,
        0.0613843,
        0.0551618,
        0.0517156,
        0.053497,
        0.0539725,
        0.0542688,
        0.0713862,
        0.055774,
        0.043127,
        0.0444922,
        0.0473062,
        0.0461384,
        0.0465097,
        0.045468,
        0.0492543,
        0.0474844,
        0.0413607,
        0.0433031,
        0.0483607,
        0.0498417,
        0.047726,
        0.0502486,
        0.0523227,
        0.0545545,
        0.053676,
        0.0569357,
        0.0611973,
        0.0626968,
        0.0610033,
        0.0547586,
        0.057551,
        0.0610355,
        0.0661863,
        0.076446,
        0.0900459,
        0.0994251,
        0.0924507,
        0.106588,
        0.105341,
        0.14758,
        0.120617,
        0.108934,
        0.0933957,
        0.0767899,
        0.0722162,
        0.0682864,
        0.0641552,
        0.0615782,
        0.0538577,
        0.0572541,
        0.0589804,
        0.0488769,
        0.0438674,
        0.0470672,
        0.0516931,
        0.0467874,
        0.0483186,
        0.0489991,
        0.0457109,
        0.0449951,
        0.0457736,
        0.0495445,
        0.047224,
        0.0432613,
        0.034426,
        0.0537211,
        0.0497411,
        0.0459957,
        0.0457091,
        0.042822,
        0.0385309,
        0.038561,
        0.0432882,
        0.0406178,
        0.0425955,
        0.0442965,
        0.044633,
        0.0467639,
        0.0484538,
        0.0574658,
        0.0628769,
        0.0615761,
        0.0682343,
        0.0685722,
        0.0773889,
        0.0723396,
        0.170027,
        0.0963559,
        0.0729822,
        0.0565313,
        0.0568441,
        0.0480211,
        0.0503122,
        0.0445593,
        0.0426854,
        0.0430626,
        0.0391494,
        0.0355075,
        0.0366792,
        0.0349326,
        0.0291744,
        0.0309154,
        0.0328728,
        0.0345976,
        0.0355386,
        0.0282855,
        0.0314892,
        0.0340471,
        0.0335238,
        0.0319887,
        0.0322769,
        0.0339824,
        0.0365485,
        0.0374981,
        0.0338859,
        0.0330385,
        0.0386376,
        0.0352708,
        0.0332945,
        0.0325655,
        0.0303485,
        0.0361503,
        0.0345518,
        0.0326912,
        0.0354902,
        0.0354023,
        0.0311443,
        0.0303237,
        0.0352906,
        0.0364097,
        0.0331332,
        0.0308148,
        0.0330978,
        0.0315683,
        0.0299889,
        0.0280763,
        0.0271647,
        0.0349047,
        0.0297615,
        0.0338067,
        0.0363711,
        0.036795,
        0.0292101,
        0.028257,
        0.0259069,
        0.0230897,
        0.0280372,
        0.0279359,
        0.0267205,
        0.0239483,
        0.0241461,
        0.0239062,
        0.0225492,
        0.0267426,
        0.0236502,
        0.0240455,
        0.0234249,
        0.0264174,
        0.0264641,
        0.0256739,
        0.0259432,
        0.0235397,
        0.0299651,
        0.0290242,
        0.027673,
        0.0258721,
        0.0224183,
        0.0214362,
        0.0231909,
        0.023079,
        0.0273081,
        0.027144,
        0.029722,
        0.0327101,
        0.0307314,
        0.0275738,
        0.0259756,
        0.0243496,
        0.0247926,
        0.0239174,
        0.0207454,
        0.0232617,
        0.025335,
        0.0234616,
        0.0227397,
        0.0260022,
        0.0212906,
        0.0230593,
        0.0225824,
        0.0224495,
        0.0238929,
        0.0243507,
        0.0246637,
        0.0269802,
        0.0276189,
        0.0289448,
        0.0295553,
        0.0300766,
        0.027681,
        0.0250854,
        0.0273854,
        0.0320217,
        0.0279789,
        0.0317583,
        0.030998,
        0.0292698,
        0.0276565,
        0.0282086,
        0.0285147,
        0.0267449,
        0.0265961,
        0.0293714,
        0.0230456,
        0.0259665,
        0.0266901,
        0.0254183,
        0.0273671,
        0.0291364,
        0.0245473,
        0.0318598,
        0.0270752,
        0.0277833,
        0.0287647,
        0.0250198,
        0.022516,
        0.0254891,
        0.0293675,
        0.0269933,
        0.0293271,
        0.0223832,
        0.02555,
        0.0297159,
        0.0322678,
        0.0339114,
        0.0334519,
        0.0281806,
        0.0285847,
        0.0245365,
        0.0241492,
        0.0247486,
        0.0236036,
        0.0250091,
        0.028175,
        0.0225768,
        0.0218663,
        0.0252913,
        0.0243303,
        0.028073,
        0.0289033,
        0.0251277,
        0.0225398,
        0.0254068,
        0.0255204,
        0.0275907,
        0.0287304,
        0.0284583,
        0.0269414,
        0.0258244,
        0.0268652,
        0.0300807,
        0.0327477,
        0.0283344,
        0.0318391,
        0.0329558,
        0.0329077,
        0.0339365,
        0.0323337,
        0.0290403,
        0.0357574,
        0.0280936,
        0.0290496,
        0.0276466,
        0.0275849,
        0.0271553,
        0.0263097,
        0.0273789,
        0.0296314,
        0.0212528,
        0.0278355,
        0.0274593,
        0.0283626,
        0.0292451,
        0.029844,
        0.0279871,
        0.0235291,
        0.0278898,
        0.0264438,
        0.0252021,
        0.025968,
        0.0279687,
        0.0283201,
        0.0268826,
        0.0257267,
        0.0259442,
        0.0279064,
        0.0262574,
        0.0249396,
        0.0253188,
        0.026301,
        0.0266005,
        0.0262545,
        0.027333,
        0.0330478,
        0.0343102,
        0.0324055,
        0.026772,
        0.026065,
        0.0271115,
        0.0274472,
        0.0282466,
        0.0252229,
        0.0268775,
        0.0264859,
        0.0248334,
        0.0258708,
        0.0258596,
        0.023583,
        0.0229776,
        0.0273115,
        0.0300552,
        0.0282185,
        0.0301144,
        0.029212,
        0.029089,
        0.0285134,
        0.0269222,
        0.0265299,
        0.0245104,
        0.0265754,
        0.0260702,
        0.0270462,
        0.0254012,
        0.0254743,
        0.0275953,
        0.0272151,
        0.0246028,
        0.0302838,
        0.0329873,
        0.0319031,
        0.0253346,
        0.0257809,
        0.0259128,
        0.0251058,
        0.0309305,
        0.0223909,
        0.0284797,
        0.027517,
        0.0273934,
        0.0277081,
        0.0297118,
        0.032016,
        0.0295498,
        0.0281221,
        0.028137,
        0.0330528,
        0.0283799,
        0.0250772,
        0.0252027,
        0.0268943,
        0.0268355,
        0.0198575,
        0.0242712,
        0.0319635,
        0.0371813,
        0.034206,
        0.0310862,
        0.0321217,
        0.0324301,
        0.0266892,
        0.0238972,
        0.0227824,
        0.0248996,
        0.026205,
        0.0252342,
        0.0247406,
        0.0254199,
        0.0254854,
        0.0248111,
        0.0238726,
        0.0297302,
        0.0314318,
        0.0270143,
        0.0235721,
        0.0243641,
        0.0265723,
        0.026975,
        0.0304072,
        0.0296379,
        0.0255657,
        0.0336565,
        0.0305262,
        0.0265016,
        0.0251137,
        0.0213868,
        0.0224263,
        0.0263561,
        0.0293339,
        0.0297258,
        0.0306982,
        0.0281095,
        0.0250866,
        0.024384,
        0.0242018,
        0.0252639,
        0.0306309,
        0.0349368,
        0.0311116,
        0.0274089,
        0.0270791,
        0.0298846,
        0.0307933,
        0.0251764,
        0.0278759,
        0.0256379,
        0.0279681,
        0.0266087,
        0.0242335,
        0.0238659,
        0.0241068,
        0.0237718,
        0.0270807,
        0.0274004,
        0.026284,
        0.0256922,
        0.0242944,
        0.026051,
        0.0255068,
        0.0230657,
        0.0277828,
        0.0291717,
        0.0257321,
        0.0239383,
        0.0238268,
        0.0234778,
        0.0266716,
        0.0286645,
        0.0250817,
        0.0242832,
        0.0279808,
        0.0277209,
        0.0291307,
        0.0310852,
        0.0295334,
        0.0263323,
        0.0260931,
        0.0287803,
        0.0279403,
        0.0306141,
        0.0290045,
        0.026647,
        0.0300738,
        0.0308003,
        0.030169,
        0.0291106,
        0.0239543,
        0.023301,
        0.0205699,
        0.022904,
        0.0245152,
        0.0259893,
        0.0258968,
        0.0262577,
        0.0279958,
        0.0281626,
        0.029849,
        0.0296209,
        0.0329791,
        0.0291963,
        0.026081,
        0.0259024,
        0.010515,
        0.0226353,
        0.0326251,
        0.0385121,
        0.0306455,
        0.0364711,
        0.0370923,
        0.0364431,
        0.0345617,
        0.0343587,
        0.0343531,
        0.0318414,
        0.0348997,
        0.0359594,
        0.033628,
        0.0326863,
        0.0366929,
        0.0400067,
        0.0396339,
        0.0445422,
        0.057412,
        0.0544375,
        0.0530727,
        0.0700879,
        0.0685186,
        0.066309,
        0.0753425,
        0.0903077,
        0.152254,
        0.184,
        0.120935,
        0.0875229,
        0.0734509,
        0.0788787,
        0.0663448,
        0.0516563,
        0.0432966,
        0.0438867,
        0.0453707,
        0.042813,
        0.0344068,
        0.040231,
        0.0388068,
        0.0390922,
        0.0422702,
        0.0395267,
        0.0352284,
        0.0362412,
        0.0320381,
        0.0301827,
        0.0354004,
        0.0330468,
        0.0347746,
        0.0370271,
        0.0339564,
        0.0286062,
        0.0304177,
        0.0317573,
        0.0357924,
        0.0344404,
        0.0365049,
        0.033788,
        0.0324032,
        0.0334937,
        0.0327245,
        0.0306851,
        0.0341524,
        0.0332131,
        0.0292729,
        0.034891,
        0.0348096,
        0.0350099,
        0.0353066,
        0.030133,
        0.0281573,
        0.0275324,
        0.0237137,
        0.0310777,
        0.0334833,
        0.0318437,
        0.0321439,
        0.0332915,
        0.034169,
        0.0357206,
        0.0305496,
        0.0313193,
        0.0345274,
        0.0333603,
        0.0322927,
        0.0311026,
        0.0311769,
        0.0328792,
        0.0319131,
        0.0289978,
        0.036441,
        0.0346941,
        0.0330786,
        0.0330662,
        0.0344856,
        0.04092,
        0.0460684,
        0.0396127,
        0.0380394,
        0.0364531,
        0.0365211,
        0.035213,
        0.0326634,
        0.0323402,
        0.0343787,
        0.0342,
        0.0335067,
        0.03051,
        0.0293435,
        0.0310569,
        0.029775,
        0.0290001,
        0.0325728,
        0.0372454,
        0.0394017,
        0.0377586,
        0.0266582,
        0.0317198,
        0.0285741,
        0.0267822,
        0.0272487,
        0.0314363,
        0.0328785,
        0.0297793,
        0.0309066,
        0.0278694,
        0.0281317,
        0.0364532,
        0.0395309,
        0.0384965,
        0.0373025,
        0.0361886,
        0.0342612,
        0.0325702,
        0.0305052,
        0.033145,
        0.0322621,
        0.0297,
        0.0324939,
        0.0347075,
        0.038435,
        0.041015,
        0.0357275,
        0.0362399,
        0.037121,
        0.0404163,
        0.0384015,
        0.0382576,
        0.0397953,
        0.0376012,
        0.0329757,
        0.0313816,
        0.0277957,
        0.0313808,
        0.0342177,
        0.035724,
        0.0370047,
        0.0353922,
        0.0340502,
        0.0343252,
        0.0308496,
        0.0279696,
        0.0287513,
        0.0304599,
        0.0321237,
        0.0331178,
        0.0335625,
        0.0353295,
        0.0378434,
        0.0380041,
        0.038789,
        0.0385844,
        0.0410478,
        0.0359394,
        0.034658,
        0.0327513,
        0.0331878,
        0.0382567,
        0.0440257,
        0.0477954,
        0.0377478,
        0.034839,
        0.0404658,
        0.0499788,
        0.0489357,
        0.0436284,
        0.0393156,
        0.037528,
        0.0351541,
        0.0330416,
        0.0398193,
        0.0461245,
        0.0417304,
        0.04076,
        0.0402317,
        0.0396629,
        0.0344416,
        0.0357119,
        0.0345851,
        0.0353394,
        0.0437975,
        0.0383658,
        0.0382124,
        0.0328428,
        0.0318706,
        0.0352248,
        0.0328939,
        0.036426,
        0.0350025,
        0.0423848,
        0.0448183,
        0.0422137,
        0.0389029,
        0.0404275,
        0.0401985,
        0.0377957,
        0.0403931,
        0.0442254,
        0.0476427,
        0.0383939,
        0.0386623,
        0.0388844,
        0.0424434,
        0.0436351,
        0.0468802,
        0.0576072,
        0.057216,
        0.0601042,
        0.0709477,
        0.0798109,
        0.0910799,
        0.0951176,
        0.101056,
        0.104952,
        0.101734,
        0.104892,
        0.11795,
        0.149813,
        0.14943,
        0.129206,
        0.114755,
        0.105763,
        0.099949,
        0.0935827,
        0.08406,
        0.0779787,
        0.0840602,
        0.0906928,
        0.084104,
        0.0819565,
        0.0934098,
        0.0965007,
        0.0851302,
        0.0811725,
        0.0848516,
        0.0833014,
        0.080407,
        0.0823098,
        0.0716933,
        0.068846,
        0.0718588,
        0.071689,
        0.0713037,
        0.0740893,
        0.06179,
        0.0610646,
        0.0583565,
        0.0643907,
        0.0645085,
        0.0596675,
        0.0525259,
        0.0486717,
        0.0534794,
        0.0508722,
        0.0673734,
        0.072062,
        0.0742995,
        0.076421,
        0.0730973,
        0.064803,
        0.0614655,
        0.0588998,
        0.0549494,
        0.0598965,
        0.0530322,
        0.0451636,
        0.053502,
        0.060147,
        0.0683032,
        0.0700338,
        0.0624012,
        0.0595549,
        0.0560894,
        0.0618099,
        0.0712665,
        0.0633726,
        0.0580877,
        0.0567067,
        0.0575912,
        0.0585697,
        0.0575062,
        0.0594859,
        0.0503755,
        0.0496431,
        0.0453724,
        0.0479526,
        0.0438443,
        0.0409822,
        0.0421594,
        0.0408103,
        0.0380968,
        0.0369178,
        0.0352609,
        0.0374477,
        0.0415928,
        0.0401445,
        0.0374595,
        0.0404412,
        0.0395416,
        0.0403278,
        0.0391877,
        0.0427174,
        0.0434934,
        0.0515709,
        0.046034,
        0.041502,
        0.0378119,
        0.0373616,
        0.0418157,
        0.0426771,
        0.0414294,
        0.0456151,
        0.0463366,
        0.0423005,
        0.0422356,
        0.0470529,
        0.0468503,
        0.0447557,
        0.0468671,
        0.0475087,
        0.0472182,
        0.0380471,
        0.0430885,
        0.0430362,
        0.0444913,
        0.0399328,
        0.0338116,
        0.03466,
        0.0347637,
        0.0354353,
        0.0380657,
        0.0445231,
        0.041785,
        0.0403163,
        0.0386905,
        0.0364186,
        0.0354941,
        0.0379667,
        0.0417607,
        0.0496915,
        0.0434152,
        0.0473879,
        0.0517157,
        0.047619,
        0.0500872,
        0.0619376,
        0.0699649,
        0.0679995,
        0.0545278,
        0.0586376,
        0.0564036,
        0.0516376,
        0.0532105,
        0.0553892,
        0.0528946,
        0.0464549,
        0.0401567,
        0.032577,
        0.0372331,
        0.0363261,
        0.0357022,
        0.0387429,
        0.0411595,
        0.036247,
        0.0321841,
        0.0389972,
        0.0466522,
        0.0391325,
        0.0408164,
        0.0319105,
        0.0307329,
        0.0420456,
        0.0431385,
        0.0360446,
        0.0337,
        0.0369253,
        0.0369037,
        0.0374161,
        0.0396821,
        0.0440388,
        0.0427485,
        0.0398936,
        0.0426505,
        0.0426318,
        0.0405697,
        0.0348299,
        0.0339557,
        0.0267261,
        0.0334255,
        0.0351398,
        0.035441,
        0.0323217,
        0.0317823,
        0.0346242,
        0.0351401,
        0.0344895,
        0.035227,
        0.0488211,
        0.060133,
        0.0497878,
        0.040562,
        0.0352928,
        0.0354899,
        0.0399787,
        0.037958,
        0.048843,
        0.0507338,
        0.0530605,
        0.0519913,
        0.0544227,
        0.0550791,
        0.0599442,
        0.0681742,
        0.0558544,
        0.0520056,
        0.0580944,
        0.0683105,
        0.0763758,
        0.0767401,
        0.0720364,
        0.0793924,
        0.073155,
        0.0681805,
        0.0787819,
        0.107387,
        0.125047,
        0.114748,
        0.0989587,
        0.102778,
        0.151484,
        0.200267,
        0.247019,
        0.152943,
        0.127612,
        0.119564,
        0.100192,
        0.0816948,
        0.0812419,
        0.076262,
        0.0773636,
        0.081481,
        0.0743165,
        0.0677425,
        0.0679376,
        0.0661901,
        0.0606813,
        0.0626003,
        0.0697211,
        0.0693236,
        0.0687898,
        0.0724543,
        0.0618924,
        0.0665749,
        0.0786797,
        0.0781794,
        0.0717311,
        0.0717089,
        0.060065,
        0.0658141,
        0.057418,
        0.0621267,
        0.0688511,
        0.070068,
        0.0676649,
        0.0646542,
        0.0608883,
        0.0628169,
        0.0455336,
        0.0464942,
        0.0502945,
        0.0448419,
        0.0413907,
        0.0459416,
        0.0499347,
        0.0488955,
        0.0430738,
        0.0587606,
        0.0523032,
        0.0527226,
        0.0518824,
        0.0472672,
        0.0443668,
        0.0448074,
        0.0441997,
        0.0553961,
        0.0636095,
        0.0698943,
        0.0601506,
        0.0583613,
        0.0653608,
        0.0680679,
        0.0642035,
        0.0640243,
        0.0578058,
        0.0532912,
        0.0481984,
        0.0470347,
        0.0479314,
        0.0572027,
        0.0724052,
        0.0908304,
        0.108826,
        0.0893497,
        0.0834746,
        0.0872172,
        0.0720116,
        0.0690759,
        0.0675932,
        0.0716483,
        0.079888,
        0.0740155,
        0.075098,
        0.0714806,
        0.0654073,
        0.0561969,
        0.0550252,
        0.0554324,
        0.0511568,
        0.0471845,
        0.0500394,
        0.0509401,
        0.0442245,
        0.0539452,
        0.0604185,
        0.0573923,
        0.0530177,
        0.0511224,
        0.0508401,
        0.0500507,
        0.0479441,
        0.0506257,
        0.0552887,
        0.051171,
        0.0468261,
        0.0464886,
        0.054191,
        0.0569395,
        0.0489193,
        0.0546669,
        0.0513129,
        0.0652035,
        0.0907013,
        0.103174,
        0.102959,
        0.0955627,
        0.0783395,
        0.061884,
        0.0563127,
        0.0546368,
        0.0553005,
        0.0536413,
        0.048843,
        0.0467111,
        0.0453359,
        0.045117,
        0.0560274,
        0.0582795,
        0.0573508,
        0.0499163,
        0.04688,
        0.057575,
        0.0602091,
        0.053515,
        0.0501925,
        0.0498854,
        0.050648,
        0.0411352,
        0.0402571,
        0.0458583,
        0.0470468,
        0.0491661,
        0.0496202,
        0.0482892,
        0.0526434,
        0.0656334,
        0.0850548,
        0.0961874,
        0.0801571,
        0.0663445,
        0.0603585,
        0.0588915,
        0.0627041,
        0.0690381,
        0.0683187,
        0.0771291,
        0.0700927,
        0.0573547,
        0.048657,
        0.0494019,
        0.0506905,
        0.0517113,
        0.0562613,
        0.0662255,
        0.0861606,
        0.0903487,
        0.0925887,
        0.0747508,
        0.0730835,
        0.0810549,
        0.0796098,
        0.0710987,
        0.0670901,
        0.0625319,
        0.0733216,
        0.0733697,
        0.0655008,
        0.0512553,
        0.0501517,
        0.0577984,
        0.0601423,
        0.0585007,
        0.0664109,
        0.0733012,
        0.0607291,
        0.0486296,
        0.049869,
        0.0548718,
        0.0644288,
        0.063413,
        0.0576082,
        0.0624211,
        0.0581222,
        0.0517415,
        0.0469333,
        0.048097,
        0.055588,
        0.0571346,
        0.0515633,
        0.0469356,
        0.0482441,
        0.0519166,
        0.0554592,
        0.0531913,
        0.0527905,
        0.05007,
        0.0543026,
        0.0581639,
        0.0554927,
        0.0543437,
        0.0586337,
        0.0480881,
        0.0440557,
        0.0459854,
        0.0542476,
        0.0562752,
        0.0695234,
        0.068267,
        0.0614055,
        0.0723963,
        0.0821991,
        0.0550301,
        0.044916,
        0.0628568,
        0.0530747,
        0.0543086,
        0.0594741,
        0.06297,
        0.0667548,
        0.0676089,
        0.0577178,
        0.0560989,
        0.0559067,
        0.0842097,
        0.0968846,
        0.107372,
        0.0952432,
        0.0661697,
        0.047896,
        0.0481299,
        0.0463874,
        0.0543838,
        0.0648849,
        0.054115,
        0.0434924,
        0.0478842,
        0.0493214,
        0.045415,
        0.0493002,
        0.0508636,
        0.0480165,
        0.0539345,
        0.0485732,
        0.0512977,
        0.0594271,
        0.0636634,
        0.0669281,
        0.083993,
        0.104838,
        0.0758156,
        0.0672921,
        0.0581512,
        0.0644798,
        0.0596028,
        0.0605844,
        0.0698335,
        0.0809813,
        0.0909753,
        0.097857,
        0.0940133,
        0.104535,
        0.0992178,
        0.0927116,
        0.0857453,
        0.078856,
        0.0810482,
        0.0721082,
        0.0646244,
        0.060722,
        0.0617317,
        0.0709685,
        0.0766258,
        0.0924049,
        0.0872485,
        0.101682,
        0.137473,
        0.160419,
        0.188212,
        0.172214,
        0.114488,
        0.10442,
        0.101342,
        0.091894,
        0.0762108,
        0.0689266,
        0.0582416,
        0.0614887,
        0.0619639,
        0.0604368,
        0.0598568,
        0.0571538,
        0.0532416,
        0.0462306,
        0.0465896,
        0.0471874,
        0.0512629,
        0.0517098,
        0.0499435,
        0.0490892,
        0.0487568,
        0.0523849,
        0.0625563,
        0.0731319,
        0.076495,
        0.0717782,
        0.0564422,
        0.0568176,
        0.0560577,
        0.0566858,
        0.0525962,
        0.0465042,
        0.0452491,
        0.0411501,
        0.0444298,
        0.0459721,
        0.0448877,
        0.0447137,
        0.0462114,
        0.0519693,
        0.0560342,
        0.0595157,
        0.0618667,
        0.0536476,
        0.0530421,
        0.0554517,
        0.0529214,
        0.0503185,
        0.0494487,
        0.0556255,
        0.0677025,
        0.0720455,
        0.0698017,
        0.0799452,
        0.0932578,
        0.11304,
        0.12939,
        0.154612,
        0.184776,
        0.13538,
        0.133142,
        0.127794,
        0.118379,
        0.140401,
        0.116922,
        0.0868026,
        0.0794652,
        0.0769696,
        0.0750315,
        0.0794512,
        0.076917,
        0.0756063,
        0.0642649,
        0.0680049,
        0.0652953,
        0.0528024,
        0.0551605,
        0.0590445,
        0.0500502,
        0.0444386,
        0.0444808,
        0.0477748,
        0.0499322,
        0.0531397,
        0.0604282,
        0.0584291,
        0.052687,
        0.0459105,
        0.0405517,
        0.0406066,
        0.041552,
        0.0402452,
        0.0422049,
        0.0411682,
        0.0466006,
        0.0449434,
        0.0462105,
        0.0429745,
        0.045767,
        0.0481199,
        0.0603979,
        0.0601766,
        0.0491518,
        0.0475929,
        0.0460967,
        0.0490495,
        0.0499057,
        0.051916,
        0.0547311,
        0.0639421,
        0.0621783,
        0.0644567,
        0.0745242,
        0.0956604,
        0.120863,
        0.128942,
        0.134283,
        0.104174,
        0.0892433,
        0.0777377,
        0.0755944,
        0.079401,
        0.0729962,
        0.0679034,
        0.0663412,
        0.065169,
        0.0562796,
        0.047026,
        0.0468522,
        0.0475056,
        0.0484833,
        0.0455215,
        0.0536156,
        0.0589439,
        0.0569893,
        0.0476797,
        0.0435026,
        0.0435981,
        0.0411242,
        0.045613,
        0.0463403,
        0.0381265,
        0.0411467,
        0.0416049,
        0.0397652,
        0.0386631,
        0.0391692,
        0.0407476,
        0.0515994,
        0.0650856,
        0.0594099,
        0.0595351,
        0.0725387,
        0.0700548,
        0.0578624,
        0.0460531,
        0.043494,
        0.0451532,
        0.0470248,
        0.042887,
        0.0418447,
        0.0453627,
        0.0419285,
        0.0405265,
        0.0417914,
        0.0467456,
        0.046445,
        0.0488301,
        0.049279,
        0.0477812,
        0.0482683,
        0.0515598,
        0.0460436,
        0.046617,
        0.0490897,
        0.0609509,
        0.0858926,
        0.0854358,
        0.0765371,
        0.0785332,
        0.0890808,
        0.0952779,
        0.0954635,
        0.0870331,
        0.0737994,
        0.0591824,
        0.0603279,
        0.0564254,
        0.0405052,
        0.0355854,
        0.0366146,
        0.0352538,
        0.037967,
        0.0450666,
        0.0483727,
        0.0488562,
        0.0493079,
        0.042783,
        0.0457013,
        0.0467408,
        0.0453479,
        0.052109,
        0.0546773,
        0.0561184,
        0.0584007,
        0.0551658,
        0.0516424,
        0.0545064,
        0.0595749,
        0.059459,
        0.0597056,
        0.0585113,
        0.0653352,
        0.0803848,
        0.0845328,
        0.0783394,
        0.0684767,
        0.063744,
        0.0588577,
        0.0551663,
        0.0528208,
        0.0563284,
        0.0496802,
        0.0541138,
        0.0664613,
        0.071216,
        0.0631898,
        0.0542509,
        0.0497567,
        0.0508761,
        0.04937,
        0.0438531,
        0.043879,
        0.0466153,
        0.0453799,
        0.0531563,
        0.0638122,
        0.071864,
        0.06706,
        0.0571165,
        0.0560205,
        0.0630726,
        0.0616114,
        0.0689681,
        0.0680708,
        0.0779288,
        0.0920538,
        0.0888071,
        0.0730839,
        0.0633094,
        0.0610885,
        0.0571628,
        0.0506675,
        0.0464211,
        0.0472031,
        0.0472436,
        0.0531244,
        0.056288,
        0.0614716,
        0.0562558,
        0.0566951,
        0.0671418,
        0.079451,
        0.0801863,
        0.0647397,
        0.0454467,
        0.0412217,
        0.0400075,
        0.0424867,
        0.0419285,
        0.0410659,
        0.0409842,
        0.0413013,
        0.0423505,
        0.0431841,
        0.0409492,
        0.0388331,
        0.0486795,
        0.0668688,
        0.0521038,
        0.0421452,
        0.0453009,
        0.0463676,
        0.0447522,
        0.0475972,
        0.0497974,
        0.0470951,
        0.0420855,
        0.0429886,
        0.0454935,
        0.0425637,
        0.037825,
        0.0529755,
        0.0614569,
        0.053106,
        0.045815,
        0.0405817,
        0.0395089,
        0.0437631,
        0.0558323,
        0.0626905,
        0.0692477,
        0.0700841,
        0.0608081,
        0.0547014,
        0.0526426,
        0.0531221,
        0.0666212,
        0.097703,
        0.120611,
        0.114846,
        0.0881727,
        0.0605702,
        0.0507941,
        0.0475693,
        0.0437164,
        0.0402841,
        0.0398874,
        0.0394898,
        0.043247,
        0.0470982,
        0.0523145,
        0.0638457,
        0.0711619,
        0.0719632,
        0.0778255,
        0.0664215,
        0.0557549,
        0.0516071,
        0.0493286,
        0.055021,
        0.0522111,
        0.0436595,
        0.044144,
        0.0470125,
        0.050061,
        0.0583143,
        0.061569,
        0.0600266,
        0.0526571,
        0.053897,
        0.0765862,
        0.0909406,
        0.0855066,
        0.0795498,
        0.0736813,
        0.0575269,
        0.039166,
        0.0343309,
        0.0323683,
        0.0348086,
        0.0361221,
        0.0429217,
        0.0414896,
        0.0395918,
        0.0441798,
        0.0495772,
        0.0490759,
        0.0465941,
        0.0477878,
        0.0438342,
        0.0435554,
        0.044325,
        0.0537249,
        0.0475369,
        0.0550217,
        0.0599098,
        0.0665627,
        0.0713905,
        0.0693697,
        0.0714367,
        0.0863889,
        0.107238,
        0.148222,
        0.111701,
        0.091163,
        0.0898857,
        0.068125,
        0.0620231,
        0.0800815,
        0.102526,
        0.082656,
        0.0649075,
        0.0665154,
        0.0619777,
        0.0502245,
        0.0492832,
        0.0505362,
        0.0527772,
        0.0506462,
        0.0389801,
        0.0394486,
        0.0398734,
        0.0401873,
        0.0403233,
        0.0384161,
        0.0407359,
        0.0424293,
        0.0382946,
        0.036257,
        0.0369214,
        0.0444065,
        0.0364594,
        0.0379242,
        0.0487496,
        0.0514257,
        0.042988,
        0.0355363,
        0.0319728,
        0.0347333,
        0.039064,
        0.0387404,
        0.0430527,
        0.0394095,
        0.0325193,
        0.0322651,
        0.033923,
        0.0342673,
        0.0367484,
        0.0382232,
        0.0393029,
        0.0361589,
        0.033088,
        0.0421524,
        0.05853,
        0.0614631,
        0.0488082,
        0.0536004,
        0.0439782,
        0.0426157,
        0.0364246,
        0.0424082,
        0.0485211,
        0.0505011,
        0.0454882,
        0.0361168,
        0.0364217,
        0.0426942,
        0.0549146,
        0.0747208,
        0.0870657,
        0.0730271,
        0.0559884,
        0.045233,
        0.0370887,
        0.0323583,
        0.0313573,
        0.0371394,
        0.048482,
        0.0500037,
        0.0415294,
        0.0471839,
        0.0365898,
        0.0322155,
        0.0411909,
        0.0390119,
        0.0411537,
        0.0470951,
        0.0528754,
        0.0553522,
        0.0502796,
        0.0412155,
        0.0402864,
        0.037484,
        0.0397768,
        0.0548219,
        0.0494833,
        0.0451325,
        0.0428266,
        0.0413854,
        0.0384167,
        0.0362821,
        0.0411068,
        0.0488088,
        0.0459709,
        0.0422728,
        0.037658,
        0.0376088,
        0.0355879,
        0.0341307,
        0.0363018,
        0.0409574,
        0.0483188,
        0.0463694,
        0.0385509,
        0.034575,
        0.0312315,
        0.0371401,
        0.033532,
        0.028482,
        0.0343654,
        0.0368461,
        0.0434666,
        0.0407044,
        0.0388667,
        0.0384899,
        0.0485031,
        0.0619917,
        0.0572029,
        0.04422,
        0.0463698,
        0.0456199,
        0.0430887,
        0.0421314,
        0.0337787,
        0.0375683,
        0.0415939,
        0.0423443,
        0.0494446,
        0.0545823,
        0.050526,
        0.0447151,
        0.0385649,
        0.0332725,
        0.0326527,
        0.0358585,
        0.0388078,
        0.0372361,
        0.039085,
        0.0445417,
        0.0458764,
        0.0431273,
        0.043165,
        0.0470026,
        0.0518353,
        0.054907,
        0.0542897,
        0.0541758,
        0.0652891,
        0.0875709,
        0.100507,
        0.117308,
        0.163362,
        0.152048,
        0.127147,
        0.114848,
        0.0948378,
        0.0958446,
        0.0760806,
        0.0663606,
        0.0677059,
        0.0645318,
        0.0592861,
        0.0564703,
        0.0539758,
        0.0587103,
        0.0692737,
        0.0672501,
        0.0548689,
        0.0476916,
        0.0470888,
        0.0500429,
        0.053735,
        0.0493645,
        0.0454186,
        0.0439164,
        0.0446771,
        0.0436347,
        0.0361083,
        0.0437773,
        0.0412523,
        0.0426809,
        0.0455052,
        0.0617811,
        0.0753923,
        0.0640403,
        0.0514125,
        0.0458624,
        0.0475221,
        0.0556212,
        0.0767636,
        0.109618,
        0.108007,
        0.0663848,
        0.0564071,
        0.0440948,
        0.040342,
        0.0402346,
        0.0377274,
        0.0390857,
        0.0399632,
        0.0370028,
        0.0341851,
        0.0335834,
        0.03404,
        0.038537,
        0.0387711,
        0.0450041,
        0.0355996,
        0.0346232,
        0.0392574,
        0.0344476,
        0.0322896,
        0.0387912,
        0.0378023,
        0.0331964,
        0.0348519,
        0.0359908,
        0.0455573,
        0.0563094,
        0.0689075,
        0.0644262,
        0.0566656,
        0.0596125,
        0.051957,
        0.0426187,
        0.0388726,
        0.0377888,
        0.0368518,
        0.0384561,
        0.0409207,
        0.0408856,
        0.0522108,
        0.0692349,
        0.061368,
        0.0472641,
        0.0429449,
        0.0381307,
        0.0363495,
        0.0352559,
        0.0310285,
        0.0310967,
        0.0358656,
        0.0384229,
        0.0411945,
        0.0412657,
        0.041524,
        0.0361522,
        0.032994,
        0.0388934,
        0.0396305,
        0.0426787,
        0.0435799,
        0.0444845,
        0.044578,
        0.0480242,
        0.056943,
        0.0605162,
        0.0619759,
        0.0640114,
        0.0576897,
        0.0475031,
        0.0515211,
        0.0509148,
        0.0526803,
        0.0552782,
        0.0469187,
        0.0416514,
        0.042975,
        0.0436859,
        0.0413627,
        0.0415438,
        0.0428239,
        0.0393928,
        0.0398598,
        0.0385403,
        0.0442129,
        0.0411748,
        0.0427498,
        0.0403579,
        0.0415725,
        0.0454235,
        0.0461745,
        0.0439474,
        0.0406644,
        0.0421793,
        0.0449938,
        0.0440658,
        0.0423832,
        0.0445654,
        0.0455712,
        0.0452069,
        0.0511312,
        0.0580349,
        0.0627887,
        0.0638719,
        0.0562092,
        0.0443099,
        0.0402245,
        0.0439639,
        0.0410271,
        0.0427189,
        0.0375058,
        0.0420235,
        0.0481651,
        0.0489944,
        0.0484194,
        0.049483,
        0.0505462,
        0.0470404,
        0.0440414,
        0.0487225,
        0.0558732,
        0.0686305,
        0.0795313,
        0.0733458,
        0.0709327,
        0.0572397,
        0.0536477,
        0.0465391,
        0.0447366,
        0.0491871,
        0.0466108,
        0.0454951,
        0.0501124,
        0.0559287,
        0.0600452,
        0.060077,
        0.0591351,
        0.0705711,
        0.0831762,
        0.105575,
        0.123703,
        0.107448,
        0.0956133,
        0.0839851,
        0.0743717,
        0.0693418,
        0.0650726,
        0.0566128,
        0.054902,
        0.0487016,
        0.0527235,
        0.0485994,
        0.0454942,
        0.0466274,
        0.0472368,
        0.0535585,
        0.0627605,
        0.0576883,
        0.0506957,
        0.0495007,
        0.0450527,
        0.0458683,
        0.0451596,
        0.0419969,
        0.0430758,
        0.0408166,
        0.0404383,
        0.0391979,
        0.0439553,
        0.0444871,
        0.0440832,
        0.0433989,
        0.04418,
        0.0463561,
        0.0496635,
        0.0538368,
        0.059218,
        0.0639316,
        0.0710187,
        0.0552215,
        0.0483906,
        0.0420756,
        0.0391257,
        0.0402782,
        0.0504332,
        0.0660243,
        0.084467,
        0.0978034,
        0.0976713,
        0.0813385,
        0.060555,
        0.052902,
        0.0426096,
        0.0386376,
        0.0486779,
        0.0448505,
        0.0438333,
        0.0458043,
        0.0487736,
        0.0551568,
        0.0581197,
        0.0534828,
        0.0485953,
        0.0496879,
        0.0500337,
        0.0445494,
        0.0440821,
        0.0483201,
        0.0467021,
        0.0440288,
        0.0414345,
        0.0404788,
        0.0353484,
        0.0389855,
        0.0444546,
        0.0449169,
        0.0426955,
        0.0421011,
        0.0509474,
        0.0631536,
        0.0905049,
        0.0722215,
        0.0554712,
        0.0515556,
        0.0528623,
        0.0461623,
        0.0401167,
        0.0425562,
        0.044666,
        0.0456113,
        0.0449742,
        0.0429224,
        0.0427665,
        0.0462021,
        0.0516727,
        0.0485309,
        0.0472157,
        0.0507455,
        0.0473833,
        0.0456014,
        0.0455712,
        0.0458479,
        0.0454386,
        0.046071,
        0.048373,
        0.0406755,
        0.0379442,
        0.0397216,
        0.0407602,
        0.0406514,
        0.0396467,
        0.0411143,
        0.0451389,
        0.0543061,
        0.065952,
        0.0655982,
        0.0557983,
        0.0461418,
        0.0486706,
        0.0514723,
        0.0539725,
        0.0546487,
        0.0483251,
        0.0447062,
        0.042022,
        0.047781,
        0.0476442,
        0.0425352,
        0.0466205,
        0.0434981,
        0.0440972,
        0.0422223,
        0.045027,
        0.0532369,
        0.0658307,
        0.0934272,
        0.0991179,
        0.0662117,
        0.0576818,
        0.0490764,
        0.0492437,
        0.044328,
        0.0458137,
        0.044018,
        0.0409932,
        0.0506989,
        0.0637401,
        0.06899,
        0.064847,
        0.0538767,
        0.0450697,
        0.0448255,
        0.0547837,
        0.0463271,
        0.0450128,
        0.0514984,
        0.0569928,
        0.0593297,
        0.0723105,
        0.0700571,
        0.0602623,
        0.0520454,
        0.0518512,
        0.0545474,
        0.0539808,
        0.0532334,
        0.0499784,
        0.0470233,
        0.0462211,
        0.0599114,
        0.0627306,
        0.0706565,
        0.078759,
        0.0767691,
        0.0636837,
        0.054304,
        0.0591096,
        0.067054,
        0.0688223,
        0.0738622,
        0.0882447,
        0.0794369,
        0.0764325,
        0.0644322,
        0.0654203,
        0.0673612,
        0.0661428,
        0.0678319,
        0.0741169,
        0.0747682,
        0.0785596,
        0.0884775,
        0.10255,
        0.115169,
        0.11169,
        0.110644,
        0.111842,
        0.112455,
        0.123032,
        0.129981,
        0.131399,
        0.112874,
        0.086845,
        0.0674499,
        0.0721664,
        0.0675673,
        0.0555815,
        0.0560973,
        0.0559797,
        0.0566604,
        0.0653243,
        0.0767227,
        0.0837729,
        0.0760819,
        0.0551411,
        0.0627773,
        0.0474537,
        0.0523663,
        0.0531963,
        0.0499699,
        0.0520861,
        0.0531731,
        0.05188,
        0.0484715,
        0.0456691,
        0.0516238,
        0.0528127,
        0.0527927,
        0.0552254,
        0.0535279,
        0.0566707,
        0.0459508,
        0.0512848,
        0.0441216,
        0.0437289,
        0.0561895,
        0.0634642,
        0.0731212,
        0.0856403,
        0.087261,
        0.0792318,
        0.0593861,
        0.0574561,
        0.0519853,
        0.0491437,
        0.0573518,
        0.0517076,
        0.0591473,
        0.0602656,
        0.0587507,
        0.0580896,
        0.0647764,
        0.0709404,
        0.0694607,
        0.0677756,
        0.0727149,
        0.109343,
        0.142094,
        0.174418,
        0.215119,
        0.27052,
        0.164304,
        0.148555,
        0.153958,
        0.11059,
        0.108467,
        0.0967964,
        0.0798818,
        0.080804,
        0.0779856,
        0.0665398,
        0.0592786,
        0.0623629,
        0.0665882,
        0.0656285,
        0.0611248,
        0.0596193,
        0.0606479,
        0.0643669,
        0.0713497,
        0.0784938,
        0.0809579,
        0.0742838,
        0.0708783,
        0.0779325,
        0.0721262,
        0.102705,
        0.107771,
        0.094513,
        0.097954,
        0.111631,
        0.117586,
        0.0988346,
        0.0839748,
        0.0932024,
        0.0931593,
        0.0909471,
        0.105372,
        0.105007,
        0.0970732,
        0.111314,
        0.140007,
        0.142527,
        0.14465,
        0.18277,
        null,
        0.209809,
        0.177438,
        0.180816,
        0.227638,
        0.26333,
        0.257272,
        0.193705,
        0.155939,
        0.165798,
        0.163296,
        0.151315,
        0.161691,
        0.140703,
        0.152337,
        0.151277,
        0.171206,
        0.182144,
        0.157041,
        0.140479,
        0.130082,
        0.161625,
        0.187496,
        0.191035,
        0.180734,
        0.152533,
        0.146656,
        0.156342,
        0.153383,
        0.161442,
        0.156656,
        0.197115,
        0.198502,
        0.221088,
        0.282726,
        0.259933,
        0.244406,
        0.227064,
        0.190433,
        0.165975,
        0.154336,
        0.161345,
        0.14184,
        0.112262,
        0.117138,
        0.108468,
        0.0998482,
        0.0974213,
        0.0918655,
        0.0899622,
        0.0965604,
        0.100319,
        0.0955505,
        0.0905506,
        0.085282,
        0.0880687,
        0.0859347,
        0.0930518,
        0.083227,
        0.0657422,
        0.0749379,
        0.0776637,
        0.0714141,
        0.0679939,
        0.0691086,
        0.0762837,
        0.0823353,
        0.0837869,
        0.0978648,
        0.081518,
        0.0857047,
        0.0923276,
        0.0804141,
        0.0695662,
        0.0743458,
        0.0741533,
        0.0792419,
        0.0848062,
        0.0878624,
        0.0904266,
        0.0878538,
        0.0825592,
        0.0853024,
        0.0799249,
        0.0694581,
        0.0657355,
        0.079851,
        0.0799353,
        0.0849014,
        0.087331,
        0.115951,
        0.127338,
        0.117941,
        0.109173,
        0.0985457,
        0.0842295,
        0.0811446,
        0.0714827,
        0.0710946,
        0.0694063,
        0.0808673,
        0.0825428,
        0.0657932,
        0.067978,
        0.0682167,
        0.0744902,
        0.0690411,
        0.075546,
        0.071799,
        0.0604479,
        0.0575619,
        0.0609597,
        0.063682,
        0.0671427,
        0.0669067,
        0.0620181,
        0.0694639,
        0.0627105,
        0.0685673,
        0.0635113,
        0.069229,
        0.0741618,
        0.0665564,
        0.0689026,
        0.0801212,
        0.0735142,
        0.0644331,
        0.0624876,
        0.0696653,
        0.0804203,
        0.0811408,
        0.0809094,
        0.079615,
        0.0905586,
        0.114896,
        0.130051,
        0.100381,
        0.102196,
        0.0896386,
        0.0885821,
        0.083606,
        0.0796932,
        0.0793071,
        0.0818108,
        0.0865842,
        0.088882,
        0.089071,
        0.0776734,
        0.0871993,
        0.0796762,
        0.0965068,
        0.0758859,
        0.0581121,
        0.0609123,
        0.0768517,
        0.0730366,
        0.0717642,
        0.0669025,
        0.0596236,
        0.0636472,
        0.0699671,
        0.0689061,
        0.0607071,
        0.0679777,
        0.0713834,
        0.0630085,
        0.0624595,
        0.0639768,
        0.0713879,
        0.075419,
        0.0705516,
        0.0680834,
        0.0612067,
        0.0605312,
        0.0681504,
        0.0680441,
        0.0652055,
        0.0611434,
        0.0646043,
        0.0639758,
        0.0793299,
        0.0591754,
        0.0646496,
        0.0668984,
        0.0637285,
        0.0620161,
        0.0650718,
        0.0649244,
        0.0615194,
        0.0612452,
        0.0627709,
        0.0602702,
        0.0575842,
        0.0611569,
        0.0545995,
        0.0699513,
        0.0686106,
        0.0696209,
        0.0573861,
        0.060805,
        0.0711404,
        0.071564,
        0.0645378,
        0.0641718,
        0.0595458,
        0.053968,
        0.0615649,
        0.0610154,
        0.0590585,
        0.0595829,
        0.0619536,
        0.0660294,
        0.0610731,
        0.0677898,
        0.0688507,
        0.0709534,
        0.0668632,
        0.0666816,
        0.0700921,
        0.0680935,
        0.0634459,
        0.0645195,
        0.0648999,
        0.0586453,
        0.0635517,
        0.063068,
        0.0735642,
        0.0817927,
        0.0639258,
        0.0629585,
        0.067184,
        0.0761485,
        0.0699869,
        0.0615485,
        0.0625254,
        0.0715386,
        0.0692185,
        0.0598071,
        0.0643966,
        0.0644249,
        0.0617012,
        0.0619509,
        0.0681863,
        0.0630287,
        0.0706124,
        0.0843666,
        0.0497565,
        0.0426541,
        0.0487458,
        0.0468984,
        0.053221,
        0.0480064,
        0.0432238,
        0.0429182,
        0.0387358,
        0.03618,
        0.0349385,
        0.0302504,
        0.034451,
        0.0392649,
        0.0325771,
        0.0304691,
        0.0357068,
        0.0300316,
        0.0330559,
        0.031318,
        0.0328383,
        0.0347074,
        0.0318137,
        0.03252,
        0.0321834,
        0.0266802,
        0.0255524,
        0.0292843,
        0.0290331,
        0.0271552,
        0.0320869,
        0.037532,
        0.0355466,
        0.0400229,
        0.0293963,
        0.0292544,
        0.0308207,
        0.0302647,
        0.034207,
        0.0301096,
        0.0325542,
        0.0314965,
        0.0315969,
        0.0296046,
        0.0327922,
        0.0389751,
        0.0380647,
        0.0310789,
        0.0247362,
        0.034092,
        0.0409573,
        0.0353466,
        0.0332772,
        0.0320889,
        0.0342845,
        0.0325667,
        0.0356329,
        0.0471586,
        0.0502305,
        0.0301855,
        0.0282395,
        0.036757,
        0.046006,
        0.0581995,
        0.0546582,
        0.0535449,
        0.0487123,
        0.0489025,
        0.0487511,
        0.0491364,
        0.0427013,
        0.0392804,
        0.0336889,
        0.0380683,
        0.0337289,
        0.0393312,
        0.0403381,
        0.0432687,
        0.0516384,
        0.0459121,
        0.0540121,
        0.076943,
        0.0793139,
        0.0753009,
        0.0847083,
        0.10703,
        0.0592826,
        0.0565936,
        0.0625049,
        0.052897,
        0.0337429,
        0.0315009,
        0.0321805,
        0.0321444,
        0.0330001,
        0.0314612,
        0.030673,
        0.0268364,
        0.0363547,
        0.0350452,
        0.0298676,
        0.0333368,
        0.035196,
        0.0310119,
        0.0354861,
        0.0334679,
        0.030899,
        0.038136,
        0.0377692,
        0.0333723,
        0.0312878,
        0.0321129,
        0.0312898,
        0.0329048,
        0.033074,
        0.0299279,
        0.029656,
        0.0337231,
        0.0329626,
        0.0309487,
        0.0329744,
        0.0335574,
        0.0440991,
        0.0351472,
        0.031819,
        0.0398509,
        0.0348198,
        0.034319,
        0.0340184,
        0.0381437,
        0.0364002,
        0.0325573,
        0.0273051,
        0.0272657,
        0.0304936,
        0.0288369,
        0.0320528,
        0.0356971,
        0.0307264,
        0.0350366,
        0.0366836,
        0.0405955,
        0.0409109,
        0.0371183,
        0.0350372,
        0.0385118,
        0.0345086,
        0.034719,
        0.0333776,
        0.0363819,
        0.0362243,
        0.0365479,
        0.035017,
        0.0350308,
        0.0343733,
        0.0316608,
        0.0318013,
        0.0340287,
        0.0355741,
        0.0349848,
        0.0350255,
        0.036211,
        0.0382055,
        0.0321289,
        0.037959,
        0.0502055,
        0.0399837,
        0.0348435,
        0.0487302,
        0.0429843,
        0.0391291,
        0.0368435,
        0.035941,
        0.0342872,
        0.0296658,
        0.0296201,
        0.0298128,
        0.0257621,
        0.0274724,
        0.0313561,
        0.025273,
        0.0268345,
        0.0259562,
        0.0310016,
        0.0284635,
        0.035702,
        0.0266732,
        0.0275743,
        0.0289975,
        0.0387691,
        0.048501,
        0.0374106,
        0.0385899,
        0.0389268,
        0.0381463,
        0.0357431,
        0.0325146,
        0.0300319,
        0.0311881,
        0.0333592,
        0.0296848,
        0.0343989,
        0.0414741,
        0.0363667,
        0.034981,
        0.0284844,
        0.0316874,
        0.0336846,
        0.0391493,
        0.0366591,
        0.0282722,
        0.0316574,
        0.0316369,
        0.0296593,
        0.0303215,
        0.0341777,
        0.0334617,
        0.0319463,
        0.0340797,
        0.0428029,
        0.0393468,
        0.0369166,
        0.0320774,
        0.0352822,
        0.0363013,
        0.0502273,
        0.0585573,
        0.0405254,
        0.0394848,
        0.0313842,
        0.0347143,
        0.030324,
        0.0309131,
        0.0448681,
        0.0405005,
        0.0403478,
        0.0413747,
        0.032666,
        0.0337621,
        0.0375346,
        0.0348028,
        0.0282778,
        0.0295743,
        0.0370562,
        0.0406527,
        0.03815,
        0.0391658,
        0.0422073,
        0.0399214,
        0.0415434,
        0.026915,
        0.0351417,
        0.0338346,
        0.0259542,
        0.0342819,
        0.0410118,
        0.0415144,
        0.0419183,
        0.0391043,
        0.0379663,
        0.0468938,
        0.0470546,
        0.043276,
        0.0409894,
        0.0363856,
        0.0307005,
        0.0314509,
        0.0441018,
        0.0444154,
        0.0464257,
        0.0504862,
        0.0477979,
        0.0454548,
        0.0332679,
        0.0323303,
        0.0324509,
        0.0242478,
        0.0444635,
        0.0438179,
        0.0427693,
        0.0384682,
        0.0338002,
        0.0359686,
        0.0375557,
        0.0314958,
        0.0296916,
        0.0353434,
        0.0357702,
        0.0301388,
        0.0303412,
        0.0394299,
        0.0392365,
        0.0348253,
        0.0401267,
        0.0397932,
        0.027495,
        0.0239015,
        0.0315839,
        0.0309967,
        0.0331316,
        0.0406807,
        0.0395468,
        0.0333665,
        0.0279412,
        0.0325893,
        0.0331564,
        0.0336245,
        0.0352214,
        0.0377703,
        0.0316975,
        0.0289179,
        0.0346203,
        0.0383816,
        0.0468596,
        0.0556045,
        0.0498431,
        0.0331139,
        0.0421399,
        0.0375491,
        0.0321092,
        0.0271219,
        0.0369641,
        0.0398511,
        0.0358798,
        0.0411496,
        0.0332183,
        0.0326535,
        0.0316096,
        0.0268389,
        0.0353402,
        0.0294537,
        0.0250676,
        0.0297135,
        0.032528,
        0.0366547,
        0.0387024,
        0.0356133,
        0.0344235,
        0.0347846,
        0.0372584,
        0.0361587,
        0.02847,
        0.0336807,
        0.0277122,
        0.0307562,
        0.0419449,
        0.0418255,
        0.0415309,
        0.0397706,
        0.0445302,
        0.0415228,
        0.0353857,
        0.0376107,
        0.0513966,
        0.0540602,
        0.0491757,
        0.0366764,
        0.028317,
        0.0301885,
        0.0342124,
        0.0331144,
        0.0364278,
        0.041384,
        0.0378276,
        0.0402539,
        0.0407629,
        0.0359032,
        0.0359858,
        0.0320782,
        0.0314324,
        0.0332781,
        0.0388223,
        0.0309628,
        0.0271786,
        0.0236189,
        0.0282106,
        0.0297424,
        0.029359,
        0.0373325,
        0.0427762,
        0.0401771,
        0.0309716,
        0.0252738,
        0.0222298,
        0.0234427,
        0.0250829,
        0.0283027,
        0.0349491,
        0.0346839,
        0.035288,
        0.0376752,
        0.0347941,
        0.032017,
        0.0339692,
        0.0297893,
        0.0320444,
        0.0306172,
        0.0368264,
        0.0441285,
        0.0406555,
        0.0460395,
        0.0567784,
        0.0456092,
        0.040978,
        0.0425077,
        0.0357757,
        0.027593,
        0.0328575,
        0.0325326,
        0.0266974,
        0.026785,
        0.0269545,
        0.0267751,
        0.0292395,
        0.0312979,
        0.0344916,
        0.0339351,
        0.0308414,
        0.0285542,
        0.0272112,
        0.0265973,
        0.0268406,
        0.0243549,
        0.0219215,
        0.028667,
        0.0221884,
        0.0230789,
        0.0203308,
        0.0235148,
        0.0247935,
        0.0242651,
        0.0289353,
        0.0335248,
        0.0304414,
        0.0266839,
        0.0251429,
        0.0246406,
        0.0268498,
        0.0289802,
        0.0276671,
        0.024768,
        0.0217236,
        0.0220684,
        0.0264555,
        0.0244298,
        0.0205599,
        0.0247406,
        0.0233355,
        0.0241964,
        0.031257,
        0.0321133,
        0.0244285,
        0.0225649,
        0.0267362,
        0.0229024,
        0.0291607,
        0.0226539,
        0.0262441,
        0.026585,
        0.0243842,
        0.024724,
        0.0191342,
        0.0198299,
        0.0204116,
        0.0215747,
        0.0272187,
        0.0343364,
        0.0401694,
        0.0380287,
        0.0307196,
        0.0308213,
        0.0309638,
        0.0249997,
        0.0330858,
        0.0259761,
        0.0244042,
        0.0212863,
        0.0222199,
        0.03095,
        0.0365858,
        0.0232144,
        0.0433156,
        0.0280142,
        0.0264666,
        0.0234195,
        0.0303599,
        0.0304222,
        0.0194467,
        0.0273183,
        0.0316365,
        0.0348661,
        0.0374233,
        0.0338295,
        0.0303804,
        0.0309493,
        0.0335398,
        0.0332442,
        0.0295298,
        0.026819,
        0.0251443,
        0.0278086,
        0.0289118,
        0.032183,
        0.131864,
        0.0943035,
        0.0744547,
        0.0641585,
        0.0583237,
        0.0642151,
        0.059783,
        0.0566516,
        0.0544539,
        0.0502333,
        0.0415673,
        0.0303666,
        0.0316669,
        0.0339226,
        0.0354617,
        0.0337877,
        0.0408937,
        0.0392401,
        0.0411192,
        0.0427615,
        0.0478088,
        0.0553021,
        0.0503057,
        0.0405792,
        0.025963,
        0.044184,
        0.0412896,
        0.0419427,
        0.0457317,
        0.0392482,
        0.0418642,
        0.0402032,
        0.0336559,
        0.0269839,
        0.0287641,
        0.0292199,
        0.0310094,
        0.0306391,
        0.0291795,
        0.0299823,
        0.0325071,
        0.029774,
        0.0239084,
        0.0221897,
        0.022232,
        0.0257137,
        0.028983,
        0.0270881,
        0.032033,
        0.0316899,
        0.0386896,
        0.0496964,
        0.0330584,
        0.0450365,
        0.0387767,
        0.0327412,
        0.0392165,
        0.034738,
        0.0268178,
        0.0298575,
        0.0268341,
        0.0314671,
        0.0279114,
        0.0333089,
        0.0277418,
        0.036881,
        0.0366596,
        0.0312398,
        0.0290177,
        0.0357929,
        0.0360672,
        0.0378482,
        0.0373695,
        0.0331019,
        0.0368345,
        0.0376057,
        0.0314946,
        0.0309203,
        0.0308687,
        0.0293362,
        0.0313742,
        0.0350133,
        0.0369203,
        0.0308337,
        0.0298152,
        0.0260032,
        0.031951,
        0.0349395,
        0.0283996,
        0.0341534,
        0.0388095,
        0.0396783,
        0.0425469,
        0.0387044,
        0.0325992,
        0.0490289,
        0.0610466,
        0.064966,
        0.0548352,
        0.0548089,
        0.0570553,
        0.0638582,
        0.0635616,
        0.0578231,
        0.0550506,
        0.0597664,
        0.0651119,
        0.0708839,
        0.089685,
        0.106257,
        0.137459,
        0.114993,
        0.126652,
        0.139336,
        0.120399,
        0.075826,
        0.0800167,
        0.0785144,
        0.0592894,
        0.0489552,
        0.0597845,
        0.0608189,
        0.0462359,
        0.0525039,
        0.0413157,
        0.0447306,
        0.0535041,
        0.0371593,
        0.0489537,
        0.0468774,
        0.0411339,
        0.0377016,
        0.0335624,
        0.0319298,
        0.0342616,
        0.0316583,
        0.0288122,
        0.0432674,
        0.0586448,
        0.0586524,
        0.0494841,
        0.0445205,
        0.0426554,
        0.0343751,
        0.0373277,
        0.0478438,
        0.0473975,
        0.0550933,
        0.0477905,
        0.0417782,
        0.0390495,
        0.0312479,
        0.0354585,
        0.03693,
        0.0458908,
        0.0524556,
        0.0523132,
        0.0379065,
        0.0373338,
        0.0416689,
        0.0489203,
        0.0703969,
        0.0722331,
        0.0683579,
        0.0668056,
        0.081441,
        0.0955558,
        0.0922075,
        0.0811394,
        0.0693304,
        0.072778,
        0.0709319,
        0.0735572,
        0.0772547,
        0.0701726,
        0.0622263,
        0.058204,
        0.0503201,
        0.0482351,
        0.0456749,
        0.0517389,
        0.0519673,
        0.0449608,
        0.0428862,
        0.0443945,
        0.0503106,
        0.0498004,
        0.0422878,
        0.0449907,
        0.0463969,
        0.0426987,
        0.0548937,
        0.0623891,
        0.0668968,
        0.0794896,
        0.079234,
        0.0656745,
        0.050232,
        0.0452328,
        0.0360692,
        0.0340127,
        0.0385551,
        0.0375251,
        0.0344341,
        0.0402035,
        0.0387519,
        0.039825,
        0.0313896,
        0.0287008,
        0.0295556,
        0.0333958,
        0.0339496,
        0.0347284,
        0.0347994,
        0.0394023,
        0.0401899,
        0.0491589,
        0.0620345,
        0.0606808,
        0.052063,
        0.0470481,
        0.0460563,
        0.0440577,
        0.0356205,
        0.0284432,
        0.0320729,
        0.0321664,
        0.0259949,
        0.0299183,
        0.0307759,
        0.0328733,
        0.0339633,
        0.0273963,
        0.0268599,
        0.0325232,
        0.032003,
        0.0314792,
        0.030584,
        0.0289223,
        0.0273061,
        0.0404508,
        0.0406688,
        0.0360456,
        0.0393367,
        0.0428844,
        0.0374208,
        0.0341215,
        0.038376,
        0.0318168,
        0.0288111,
        0.0287305,
        0.0309431,
        0.0285932,
        0.0272688,
        0.030932,
        0.0236816,
        0.026545,
        0.0272784,
        0.0348789,
        0.0337129,
        0.0296612,
        0.0332249,
        0.0354736,
        0.0316286,
        0.0316283,
        0.0347007,
        0.0341344,
        0.0328963,
        0.0308922,
        0.0294956,
        0.0292148,
        0.0277474,
        0.0305074,
        0.0365338,
        0.0394466,
        0.0435424,
        0.0443081,
        0.0370291,
        0.0337749,
        0.0337446,
        0.0346438,
        0.0366605,
        0.0337614,
        0.0330828,
        0.0312712,
        0.0389436,
        0.0385161,
        0.052344,
        0.0335854,
        0.0293471,
        0.027939,
        0.0338059,
        0.0301114,
        0.0346739,
        0.030865,
        0.0439524,
        0.0313945,
        0.0312821,
        0.0308255,
        0.0289169,
        0.0271254,
        0.0252555,
        0.0303737,
        0.0375528,
        0.0406756,
        0.0397355,
        0.0353633,
        0.0389977,
        0.0334418,
        0.0297899,
        0.0271025,
        0.0288883,
        0.0360747,
        0.0389258,
        0.038771,
        0.0392232,
        0.034682,
        0.0338259,
        0.0408467,
        0.0574753,
        0.0649313,
        0.0557343,
        0.05094,
        0.043006,
        0.0379692,
        0.0351166,
        0.0319007,
        0.0325234,
        0.0349173,
        0.0394044,
        0.0385454,
        0.0349441,
        0.0338686,
        0.0315838,
        0.0341427,
        0.0266191,
        0.0290299,
        0.0364103,
        0.0356625,
        0.036541,
        0.030569,
        0.0309083,
        0.0310007,
        0.0378039,
        0.0498065,
        0.0624837,
        0.0514639,
        0.0397573,
        0.0373654,
        0.0327094,
        0.0298012,
        0.0283923,
        0.0308622,
        0.0312736,
        0.0262933,
        0.0361268,
        0.032927,
        0.0299297,
        0.0275024,
        0.0250022,
        0.0301188,
        0.0309549,
        0.0353564,
        0.0360087,
        0.0344219,
        0.033043,
        0.0420596,
        0.0423533,
        0.0393601,
        0.0449642,
        0.0415639,
        0.0397303,
        0.0388348,
        0.0385768,
        0.0349185,
        0.0296632,
        0.0273734,
        0.0289153,
        0.0307128,
        0.0367712,
        0.0378753,
        0.0324974,
        0.0354326,
        0.031614,
        0.0259394,
        0.0268164,
        0.032285,
        0.0323681,
        0.0300449,
        0.0287005,
        0.0287198,
        0.0296263,
        0.0267614,
        0.0315905,
        0.0286552,
        0.028545,
        0.0292299,
        0.0357177,
        0.035094,
        0.0425414,
        0.0432946,
        0.0479831,
        0.0471842,
        0.0427605,
        0.0297474,
        0.0276622,
        0.0338562,
        0.0345891,
        0.046003,
        0.0361111,
        0.0561777,
        0.0510367,
        0.0649197,
        0.0580899,
        0.0616052,
        0.0531739,
        0.0530831,
        0.0653437,
        0.0591684,
        0.0615489,
        0.0581068,
        0.0539381,
        0.049635,
        0.0525677,
        0.0672778,
        0.0627991,
        0.0447031,
        0.0475435,
        0.0451055,
        0.0590783,
        0.0697571,
        0.0709506,
        0.0633777,
        0.0472404,
        0.0477524,
        0.043412,
        0.0457338,
        0.0465723,
        0.05851,
        0.0615855,
        0.0591318,
        0.0528093,
        0.0582018,
        0.063571,
        0.0774583,
        0.10539,
        0.179745,
        0.118713,
        0.100355,
        0.0885625,
        0.0697832,
        0.0635377,
        0.0535136,
        0.0452258,
        0.0470544,
        0.0497275,
        0.0453034,
        0.0393533,
        0.0422071,
        0.0378992,
        0.0382343,
        0.0375369,
        0.0374672,
        0.0355681,
        0.0362042,
        0.0323046,
        0.0750816,
        0.05848,
        0.054362,
        0.0553679,
        0.0551286,
        0.0462392,
        0.0561586,
        0.0817523,
        0.0937441,
        0.0693486,
        0.0639928,
        0.0763308,
        0.0731498,
        0.0809653,
        0.0638264,
        0.0613127,
        0.0537723,
        0.0572815,
        0.0586117,
        0.0627854,
        0.0674511,
        0.0872556,
        0.103687,
        0.093919,
        0.0838705,
        0.0694667,
        0.0517622,
        0.0584968,
        0.0659533,
        0.0630536,
        0.0580634,
        0.0489964,
        0.0399865,
        0.0440067,
        0.0658403,
        0.0633633,
        0.0620381,
        0.0522316,
        0.0542476,
        0.0529924,
        0.0359462,
        0.0466007,
        0.0503244,
        0.0489912,
        0.0486572,
        0.0357992,
        0.0527744,
        0.0631331,
        0.0632213,
        0.0659585,
        0.0566457,
        0.0507984,
        0.0448241,
        0.0458557,
        0.0624844,
        0.064031,
        0.0701091,
        0.0958591,
        0.105285,
        0.10885,
        0.104557,
        0.077371,
        0.0529834,
        0.0439907,
        0.0487174,
        0.0568267,
        0.0632944,
        0.0752621,
        0.0721275,
        0.0683566,
        0.0538593,
        0.0552632,
        0.0529095,
        0.0518069,
        0.0454661,
        0.0433533,
        0.0492235,
        0.0501711,
        0.0533541,
        0.0496796,
        0.054957,
        0.0485329,
        0.0470326,
        0.0574499,
        0.0612271,
        0.0562491,
        0.0627698,
        0.0966972,
        0.0884627,
        0.0678504,
        0.0573625,
        0.0497481,
        0.0482004,
        0.0459681,
        0.051021,
        0.0573728,
        0.0588403,
        0.0547581,
        0.0497617,
        0.0531287,
        0.0557624,
        0.066552,
        0.0742171,
        0.0653226,
        0.0535858,
        0.0494112,
        0.0588624,
        0.0633136,
        0.0617689,
        0.053232,
        0.0469388,
        0.0528577,
        0.0667886,
        0.0723079,
        0.0592512,
        0.0587717,
        0.0512982,
        0.0554395,
        0.0443852,
        0.0579885,
        0.0481387,
        0.0689987,
        0.0656094,
        0.0621061,
        0.0440104,
        0.0525646,
        0.0425649,
        0.0407561,
        0.0470786,
        0.0441566,
        0.0571347,
        0.0740594,
        0.0717277,
        0.0597726,
        0.0627574,
        0.0617759,
        0.046797,
        0.0521422,
        0.0590608,
        0.0516103,
        0.0693756,
        0.0944185,
        0.0982122,
        0.0754365,
        0.0547973,
        0.0522372,
        0.0564768,
        0.0644652,
        0.0646315,
        0.0561314,
        0.0501445,
        0.0455956,
        0.0454021,
        0.0468216,
        0.0530465,
        0.0581615,
        0.0498549,
        0.0678784,
        0.0574651,
        0.0533284,
        0.0685985,
        0.0738102,
        0.0843279,
        0.12562,
        0.133546,
        0.081021,
        0.0602423,
        0.0520978,
        0.0465702,
        0.0575281,
        0.0612261,
        0.0560175,
        0.0602662,
        0.0580884,
        0.0630002,
        0.0714952,
        0.0622275,
        0.0520318,
        0.0559049,
        0.0578056,
        0.055298,
        0.0658309,
        0.0836077,
        0.0826635,
        0.0578107,
        0.0402827,
        0.0449906,
        0.0563925,
        0.0565556,
        0.0617196,
        0.0657375,
        0.0720957,
        0.0565516,
        0.0658648,
        0.0599824,
        0.0456783,
        0.0551025,
        0.0525635,
        0.0538553,
        0.0580858,
        0.0557184,
        0.0574593,
        0.0712376,
        0.0599874,
        0.0572264,
        0.0742005,
        0.0639288,
        0.068155,
        0.059418,
        0.0565324,
        0.051244,
        0.0457832,
        0.040322,
        0.0433174,
        0.0652132,
        0.0819375,
        0.0959596,
        0.0807684,
        0.0554945,
        0.0489914,
        0.0717411,
        0.0974729,
        0.100661,
        0.0923444,
        0.0730468,
        0.0564662,
        0.064409,
        0.0756074,
        0.0710973,
        0.0600865,
        0.0738833,
        0.0799244,
        0.0671669,
        0.0710362,
        0.0732817,
        0.0640918,
        0.0478948,
        0.0546191,
        0.0623916,
        0.0618948,
        0.0685667,
        0.0849677,
        0.0727684,
        0.0710178,
        0.0817441,
        0.0780333,
        0.0562303,
        0.0519129,
        0.0627793,
        0.0795654,
        0.0794917,
        0.0925129,
        0.0616444,
        0.08671,
        0.0756443,
        0.0758973,
        0.07634,
        0.0962964,
        0.0902537,
        0.0768713,
        0.0863167,
        0.14866,
        0.145592,
        0.153001,
        0.165642,
        0.159065,
        0.236122,
        0.177488,
        0.176225,
        0.173159,
        0.233631,
        0.305398,
        0.259246,
        0.245691,
        0.253404,
        0.203549,
        0.172233,
        0.154591,
        0.124659,
        0.0940308,
        0.0839964,
        0.0958751,
        0.0850374,
        0.0737637,
        0.0704032,
        0.053306,
        0.0595797,
        0.0631631,
        0.0545716,
        0.0637133,
        0.0721642,
        0.0729861,
        0.0698677,
        0.0716551,
        0.063977,
        0.0771017,
        0.0848412,
        0.0742708,
        0.0514078,
        0.0561302,
        0.06181,
        0.0635154,
        0.0773375,
        0.0862364,
        0.0564296,
        0.0654553,
        0.0633001,
        0.0900694,
        0.0965493,
        0.0903338,
        0.070279,
        0.078294,
        0.0622806,
        0.0640866,
        0.0608276,
        0.0806929,
        0.0607325,
        0.0464116,
        0.0522552,
        0.0519393,
        0.0597305,
        0.0651217,
        0.0685132,
        0.0641333,
        0.0667052,
        0.104519,
        0.108531,
        0.0921238,
        0.0768817,
        0.0690501,
        0.0510698,
        0.0581448,
        0.0574216,
        0.0518034,
        0.056514,
        0.0640483,
        0.0619115,
        0.0630692,
        0.0614216,
        0.0695143,
        0.0745291,
        0.0699562,
        0.0745484,
        0.0805314,
        0.072411,
        0.0614544,
        0.0641216,
        0.0699632,
        0.0787167,
        0.0993096,
        0.115145,
        0.088982,
        0.0637706,
        0.0687998,
        0.0621068,
        0.0691406,
        0.0749878,
        0.0809956,
        0.0859279,
        0.0781578,
        0.0736649,
        0.0619747,
        0.0553378,
        0.0658541,
        0.0601332,
        0.0708477,
        0.0746797,
        0.0807796,
        0.0761073,
        0.0673389,
        0.0776547,
        0.0859722,
        0.0984922,
        0.0923725,
        0.0861379,
        0.0722233,
        0.0638834,
        0.0754897,
        0.0651734,
        0.0646956,
        0.0765914,
        0.0765939,
        0.064766,
        0.0634992,
        0.0611108,
        0.0673993,
        0.0715033,
        0.0600389,
        0.0571236,
        0.0649848,
        0.071787,
        0.121081,
        0.124432,
        0.125614,
        0.151927,
        0.180532,
        0.271384,
        0.162826,
        0.166161,
        0.181543,
        0.181719,
        0.152833,
        0.12455,
        0.0936683,
        0.0721715,
        0.0663241,
        0.0705116,
        0.0621137,
        0.0626665,
        0.0706937,
        0.0667896,
        0.0631218,
        0.0680331,
        0.0671875,
        0.0643185,
        0.0678687,
        0.0664843,
        0.0628609,
        0.0670469,
        0.0628392,
        0.0616605,
        0.0661764,
        0.0636565,
        0.0552494,
        0.0560469,
        0.0758481,
        0.0801348,
        0.0694518,
        0.0684756,
        0.0660634,
        0.0681782,
        0.0800672,
        0.0677862,
        0.0624312,
        0.0524694,
        0.0482726,
        0.0603844,
        0.0554524,
        0.0684871,
        0.0647025,
        0.0414181,
        0.0583087,
        0.0903213,
        0.100756,
        0.093896,
        0.0716519,
        0.0708811,
        0.0816866,
        0.120337,
        0.133059,
        0.114124,
        0.0838188,
        0.0557023,
        0.069344,
        0.0614347,
        0.0609523,
        0.0702294,
        0.0620394,
        0.0636531,
        0.0655117,
        0.0624993,
        0.0750534,
        0.0629062,
        0.0753793,
        0.0608756,
        0.066528,
        0.055947,
        0.0645543,
        0.0586306,
        0.0707103,
        0.0797208,
        0.0670248,
        0.0721394,
        0.0727323,
        0.0617419,
        0.058788,
        0.0644465,
        0.0622036,
        0.0648664,
        0.077297,
        0.0704365,
        0.0589804,
        0.0698102,
        0.0564369,
        0.0800801,
        0.0877642,
        0.0814523,
        0.0669492,
        0.0650953,
        0.0583944,
        0.0559048,
        0.0642903,
        0.0721915,
        0.0676861,
        0.0674744,
        0.0720212,
        0.0770202,
        0.073805,
        0.0650648,
        0.0713242,
        0.078918,
        0.083916,
        0.0761176,
        0.070323,
        0.0527173,
        0.0490469,
        0.0595471,
        0.0664736,
        0.0772833,
        0.0818777,
        0.0789283,
        0.0692475,
        0.0609048,
        0.067855,
        0.091833,
        0.118056,
        0.107931,
        0.0796544,
        0.0684103,
        0.0534892,
        0.0558053,
        0.0738078,
        0.0813455,
        0.0764229,
        0.0706903,
        0.0753685,
        0.0705546,
        0.0530048,
        0.0558352,
        0.0689753,
        0.0749941,
        0.0773151,
        0.0769922,
        0.0734808,
        0.0625959,
        0.0754157,
        0.0843077,
        0.0741508,
        0.0669655,
        0.0613769,
        0.0628845,
        0.0740776,
        0.0799749,
        0.0863209,
        0.099741,
        0.0916213,
        0.106313,
        0.110768,
        0.088571,
        0.0889906,
        0.0879297,
        0.089908,
        0.0935235,
        0.0994499,
        0.106337,
        0.115198,
        0.122455,
        0.125623,
        0.123015,
        0.112211,
        0.117998,
        0.138466,
        0.168263,
        0.247218,
        0.2907,
        0.307745,
        0.345185,
        0.279465,
        0.230077,
        0.201667,
        0.199909,
        0.184385,
        0.146005,
        0.130496,
        0.103355,
        0.0839113,
        0.084698,
        0.0878032,
        0.0914488,
        0.0872599,
        0.0995675,
        0.107518,
        0.107346,
        0.106011,
        0.110326,
        0.0902592,
        0.0858384,
        null,
        0.414769,
        0.382075,
        0.422107,
        0.423012,
        0.340885,
        0.360882,
        0.370646,
        0.357806,
        0.287298,
        0.263254,
        0.279385,
        0.266779,
        0.282867,
        0.310692,
        0.301581,
        0.311823,
        0.328656,
        0.334147,
        0.311354,
        0.313274,
        0.397769,
        0.386333,
        0.364288,
        0.356515,
        0.368273,
        0.3775,
        null,
        0.237956,
        0.242474,
        0.267491,
        0.290747,
        0.228253,
        0.199213,
        0.184313,
        0.166494,
        0.186084,
        0.201045,
        0.177665,
        0.176591,
        0.176789,
        0.171478,
        0.16238,
        0.144884,
        0.117749,
        0.130108,
        0.130226,
        0.121138,
        0.12937,
        0.133266,
        0.134046,
        0.133753,
        0.137578,
        0.137303,
        0.115468,
        0.10616,
        0.103156,
        0.105613,
        0.100283,
        0.0987511,
        0.105626,
        0.0897578,
        0.079912,
        0.0799558,
        0.0850307,
        0.090857,
        0.0972234,
        0.102678,
        0.0951338,
        0.0835169,
        0.0966104,
        0.0977316,
        0.0954865,
        0.0999138,
        0.0918284,
        0.0830607,
        0.0816488,
        0.0772524,
        0.0770916,
        0.0851008,
        0.0788287,
        0.0782923,
        0.0862576,
        0.0816867,
        0.0851775,
        0.0949048,
        0.0958109,
        0.0924627,
        0.0861073,
        0.0772439,
        0.0781349,
        0.0836987,
        0.0894045,
        0.0816511,
        0.0728033,
        0.0712291,
        0.0758658,
        0.0792754,
        0.0788671,
        0.0886395,
        0.0898208,
        0.0802563,
        0.0708268,
        0.069129,
        0.0745706,
        0.0820986,
        0.0849486,
        0.0844193,
        0.0818429,
        0.0768709,
        0.0738453,
        0.0808569,
        0.0796393,
        0.0782933,
        0.081957,
        0.0809166,
        0.0786842,
        0.0757842,
        0.0803288,
        0.0795287,
        0.0714728,
        0.0707679,
        0.074035,
        0.0791881,
        0.0666166,
        0.0644917,
        0.0696765,
        0.079552,
        0.0791095,
        0.0763122,
        0.0797854,
        0.0782387,
        0.0739534,
        0.0665161,
        0.0707005,
        0.0740943,
        0.0727551,
        0.0718493,
        0.0705974,
        0.0690401,
        0.0833351,
        0.0856187,
        0.0789471,
        0.0812732,
        0.075866,
        0.0680564,
        0.0702839,
        0.0682331,
        0.0645993,
        0.0613867,
        0.0605021,
        0.0630551,
        0.0716239,
        0.073535,
        0.0756989,
        0.0799638,
        0.0844462,
        0.0882672,
        0.0914738,
        0.100516,
        0.0956261,
        0.0815314,
        0.082048,
        0.0924512,
        0.102437,
        0.0865736,
        0.0951837,
        0.104485,
        0.0837119,
        0.0945075,
        0.107866,
        0.108632,
        0.107271,
        0.109732,
        0.118194,
        0.125432,
        0.14549,
        0.178436,
        0.197619,
        0.216124,
        0.208719,
        0.212783,
        0.193209,
        0.169299,
        0.157847,
        0.136991,
        0.117888,
        0.106146,
        0.0952334,
        0.0881566,
        0.085972,
        0.0897801,
        0.0900873,
        0.0872697,
        0.0896974,
        0.0930906,
        0.0949718,
        0.0834948,
        0.0780516,
        0.076932,
        0.0810436,
        0.0814155,
        0.0844185,
        0.0960908,
        0.102602,
        0.103863,
        0.0975512,
        0.0833437,
        0.0789117,
        0.0877153,
        0.0860565,
        0.0791468,
        0.0689875,
        0.0766971,
        0.0794561,
        0.0780197,
        0.0707973,
        0.0668634,
        0.0654863,
        0.0677045,
        0.0675181,
        0.0673488,
        0.0687225,
        0.0722493,
        0.0713689,
        0.0633123,
        0.067749,
        0.0662419,
        0.0577091,
        0.0589589,
        0.0609163,
        0.0630821,
        0.0607702,
        0.0559232,
        0.0507367,
        0.0516823,
        0.0532614,
        0.0556358,
        0.0596336,
        0.0647947,
        0.0708756,
        0.0781941,
        0.0713477,
        0.070684,
        0.0819083,
        0.0656568,
        0.0599576,
        0.0664384,
        0.0715588,
        0.0743823,
        0.0745817,
        0.0677592,
        0.0657735,
        0.0651522,
        0.0599674,
        0.0631277,
        0.067014,
        0.0653489,
        0.0604821,
        0.0593085,
        0.0666031,
        0.0627245,
        0.0564234,
        0.0488576,
        0.0570681,
        0.0660694,
        0.0748995,
        0.0760872,
        0.0755716,
        0.0724263,
        0.0596271,
        0.0632951,
        0.0722219,
        0.0706844,
        0.06655,
        0.0625978,
        0.0611156,
        0.0617823,
        0.0614204,
        0.0586644,
        0.0633218,
        0.0691643,
        0.0756217,
        0.0774756,
        0.0738202,
        0.0666316,
        0.0716807,
        0.0684431,
        0.0615272,
        0.0611215,
        0.0594455,
        0.0592287,
        0.0650088,
        0.072547,
        0.0727594,
        0.0572332,
        0.0629236,
        0.0678178,
        0.0666,
        0.0680428,
        0.0674294,
        0.0644575,
        0.0737502,
        0.0702345,
        0.0576789,
        0.0569514,
        0.0633593,
        0.073273,
        0.0806039,
        0.0796961,
        0.0754148,
        0.0706737,
        0.0629346,
        0.061652,
        0.0741331,
        0.0912337,
        0.0916521,
        0.068768,
        0.0899766,
        0.104445,
        0.109987,
        0.0971471,
        0.0926196,
        0.09306,
        0.0883408,
        0.086477,
        0.086409,
        0.0878454,
        0.0990819,
        0.114244,
        0.13121,
        0.138372,
        0.136378,
        0.122511,
        0.138956,
        0.154072,
        0.164905,
        0.254347,
        0.312235,
        0.255906,
        0.211393,
        0.173236,
        0.140877,
        0.146636,
        0.150362,
        0.137246,
        0.109829,
        0.0986542,
        0.111003,
        0.102905,
        0.108439,
        0.125871,
        0.11133,
        0.108393,
        0.113018,
        0.115165,
        0.107437,
        0.100347,
        0.1126,
        0.116874,
        0.111894,
        0.0912374,
        0.105904,
        0.11885,
        0.118234,
        0.121802,
        0.112442,
        0.0880576,
        0.104738,
        0.108679,
        0.103149,
        0.108533,
        0.114789,
        0.120172,
        0.11885,
        0.118422,
        0.120156,
        0.127182,
        0.132997,
        0.142823,
        0.161183,
        0.160132,
        0.158902,
        0.161183,
        0.171247,
        0.1792,
        0.183737,
        0.165939,
        0.187612,
        0.232822,
        0.245926,
        0.237785,
        0.232258,
        0.277269,
        null,
        0.267506,
        0.241711,
        0.226363,
        0.218983,
        0.216121,
        0.198924,
        0.182088,
        0.192523,
        0.171481,
        0.163189,
        0.209816,
        0.181331,
        0.151402,
        0.143252,
        0.165235,
        0.173138,
        0.161127,
        0.137781,
        0.122709,
        0.118597,
        0.152672,
        0.146284,
        0.123352,
        0.122718,
        0.124506,
        0.124814,
        0.118838,
        0.149273,
        0.169948,
        0.158016,
        0.15648,
        0.16693,
        0.191199,
        0.20797,
        0.22734,
        0.250523,
        0.292969,
        0.29097,
        0.248692,
        0.175565,
        0.181475,
        0.187873,
        0.185671,
        0.159094,
        0.185235,
        0.0596423,
        0.0980535,
        0.0971075,
        0.0845565,
        0.0882343,
        0.0868013,
        0.0861114,
        0.0899034,
        0.0913691,
        0.0913198,
        0.0895895,
        0.0788602,
        0.0804871,
        0.0926609,
        0.0815062,
        0.0768039,
        0.0771941,
        0.0821501,
        0.0758086,
        0.0704887,
        0.0876515,
        0.0875256,
        0.0817667,
        0.0754909,
        0.0724053,
        0.068802,
        0.0634356,
        0.0700533,
        0.0736114,
        0.0726489,
        0.0751901,
        0.0749717,
        0.0741154,
        0.0892237,
        0.0819008,
        0.0669691,
        0.0775558,
        0.0723525,
        0.0670495,
        0.0756741,
        0.075708,
        0.0748415,
        0.0756428,
        0.0710713,
        0.06946,
        0.0722209,
        0.0674983,
        0.0649351,
        0.064916,
        0.0720095,
        0.0687484,
        0.0627245,
        0.077907,
        0.0765396,
        0.0683265,
        0.0615936,
        0.0588603,
        0.0594931,
        0.0648818,
        0.0680188,
        0.0698056,
        0.0701655,
        0.07079,
        0.0655512,
        0.0552504,
        0.0576884,
        0.0623041,
        0.0682929,
        0.0733349,
        0.0750708,
        0.0733247,
        0.0646885,
        0.0576109,
        0.0563945,
        0.0679173,
        0.0633083,
        0.0605519,
        0.0659891,
        0.0654664,
        0.0635584,
        0.0611063,
        0.0723222,
        0.0797825,
        0.0818207,
        0.0629251,
        0.0552706,
        0.0549908,
        0.060329,
        0.0655962,
        0.068614,
        0.0657457,
        0.0626778,
        0.0607186,
        0.0608403,
        0.0750893,
        0.07905,
        0.067872,
        0.0658078,
        0.0686106,
        0.0745869,
        0.0714524,
        0.0663649,
        0.0615198,
        0.0634969,
        0.0579808,
        0.057575,
        0.0813169,
        0.0703994,
        0.0596112,
        0.0669672,
        0.06315,
        0.064435,
        0.075041,
        0.0779158,
        0.0737536,
        0.0640446,
        0.0619593,
        0.0745607,
        0.090899,
        0.0740168,
        0.0694711,
        0.0717513,
        0.0782607,
        0.0729802,
        0.0710979,
        0.0843053,
        0.0825473,
        0.0835873,
        0.0830306,
        0.0842967,
        0.0811251,
        0.0732076,
        0.0878536,
        0.0904607,
        0.08381,
        0.0839199,
        0.0912828,
        0.0972801,
        0.0915266,
        0.103636,
        0.125689,
        0.126969,
        0.125366,
        0.129419,
        0.142556,
        0.160781,
        0.187971,
        0.200083,
        0.228374,
        0.320528,
        0.247168,
        0.211109,
        0.189063,
        0.154883,
        0.148181,
        0.137133,
        0.119502,
        0.110444,
        0.10553,
        0.100906,
        0.104024,
        0.101623,
        0.0902192,
        0.0931721,
        0.0995528,
        0.0982425,
        0.0884748,
        0.0724324,
        0.0665648,
        0.0666159,
        0.0649282,
        0.0649285,
        0.0669677,
        0.0657851,
        0.0677823,
        0.0697675,
        0.0573421,
        0.0524374,
        0.058004,
        0.0631851,
        0.0652451,
        0.059808,
        0.0564955,
        0.0596509,
        0.0685812,
        0.0631934,
        0.0531319,
        0.0527755,
        0.0590769,
        0.0563527,
        0.0573443,
        0.0596504,
        0.0598021,
        0.0587964,
        0.0583069,
        0.0606531,
        0.0538311,
        0.0505079,
        0.0516787,
        0.0566794,
        0.060718,
        0.0618389,
        0.0623314,
        0.0553132,
        0.0513379,
        0.058387,
        0.0601688,
        0.0619281,
        0.0607032,
        0.0579834,
        0.053919,
        0.0589392,
        0.0630077,
        0.0628006,
        0.0554655,
        0.0552421,
        0.0567175,
        0.0528854,
        0.058589,
        0.0611055,
        0.0589163,
        0.0559915,
        0.0563844,
        0.0544561,
        0.0543293,
        0.0530358,
        0.0529425,
        0.055183,
        0.0538484,
        0.0515949,
        0.0521109,
        0.0504563,
        0.0536243,
        0.0554408,
        0.0530051,
        0.0531138,
        0.0542362,
        0.0556333,
        0.0533955,
        0.0529673,
        0.0544087,
        0.0568228,
        0.0526798,
        0.0501697,
        0.0504098,
        0.0504087,
        0.0519733,
        0.054661,
        0.0547758,
        0.0552722,
        0.0558662,
        0.0559645,
        0.0547305,
        0.051898,
        0.0524737,
        0.0549879,
        0.0560601,
        0.0526157,
        0.0528848,
        0.0581034,
        0.0572311,
        0.0564751,
        0.0525024,
        0.0589732,
        0.0624288,
        0.0559017,
        0.055863,
        0.0632047,
        0.0654205,
        0.0660536,
        0.0627679,
        0.0535093,
        0.0559698,
        0.0572183,
        0.056532,
        0.054498,
        0.0594674,
        0.0645673,
        0.0611358,
        0.0559671,
        0.058153,
        0.0606229,
        0.0567264,
        0.0545628,
        0.0508563,
        0.0577133,
        0.0622171,
        0.0619269,
        0.0596532,
        0.0592951,
        0.0635689,
        0.0628685,
        0.0603583,
        0.0595295,
        0.064714,
        0.0722679,
        0.0755962,
        0.0743835,
        0.0801559,
        0.0817184,
        0.0706244,
        0.0792647,
        0.0883939,
        0.0937985,
        0.107719,
        0.114868,
        0.118523,
        0.129032,
        0.140397,
        0.163714,
        0.209156,
        0.240268,
        0.189811,
        0.164777,
        0.136691,
        0.117041,
        0.11124,
        0.106888,
        0.102157,
        0.0981378,
        0.0938243,
        0.0877899,
        0.0783787,
        0.0749699,
        0.072842,
        0.064126,
        0.0674063,
        0.0710879,
        0.0712082,
        0.0729154,
        0.0707642,
        0.0632383,
        0.0673616,
        0.0667458,
        0.0622315,
        0.0619248,
        0.0575434,
        0.0502938,
        0.0476457,
        0.0542628,
        0.0622013,
        0.0590419,
        0.060346,
        0.0617596,
        0.0594122,
        0.0577554,
        0.0575315,
        0.0596527,
        0.060213,
        0.0586557,
        0.0556622,
        0.0541523,
        0.0544899,
        0.0560656,
        0.0521643,
        0.0526268,
        0.0545987,
        0.0525329,
        0.0537018,
        0.0512853,
        0.049665,
        0.0531052,
        0.0555924,
        0.0543852,
        0.0513809,
        0.0502376,
        0.0509879,
        0.0593206,
        0.0577416,
        0.0494828,
        0.0486414,
        0.0493406,
        0.0496508,
        0.0472311,
        0.0484358,
        0.0525748,
        0.0563051,
        0.054152,
        0.0503564,
        0.0469856,
        0.0487356,
        0.051929,
        0.0562446,
        0.0523151,
        0.0503071,
        0.0488225,
        0.0467197,
        0.050826,
        0.0544784,
        0.0423653,
        0.04269,
        0.0460975,
        0.0413042,
        0.0458622,
        0.050296,
        0.0494875,
        0.0486054,
        0.05223,
        0.0612062,
        0.061138,
        0.0576289,
        0.0517398,
        0.0544897,
        0.0556473,
        0.0522087,
        0.050203,
        0.0504382,
        0.05126,
        0.0488888,
        0.0483733,
        0.0489911,
        0.0512598,
        0.0529092,
        0.0546645,
        0.056083,
        0.0577127,
        0.0588795,
        0.0574547,
        0.0546125,
        0.0543398,
        0.0552941,
        0.0521085,
        0.0544463,
        0.0568056,
        0.0501043,
        0.0498163,
        0.0519368,
        0.051952,
        0.0466526,
        0.0438131,
        0.044533,
        0.0469009,
        0.0528021,
        0.0610108,
        0.0557689,
        0.0527509,
        0.0516294,
        0.0461377,
        0.0468285,
        0.0505787,
        0.0519738,
        0.0544685,
        0.0580845,
        0.0646789,
        0.0593767,
        0.0552779,
        0.0565899,
        0.0599275,
        0.0635272,
        0.0673119,
        0.0652572,
        0.0656927,
        0.0711569,
        0.0802662,
        0.0819252,
        0.0786211,
        0.0830766,
        0.0812471,
        0.0763999,
        0.0708399,
        0.0869432,
        0.0942293,
        0.0820798,
        0.075893,
        0.0790371,
        0.0852254,
        0.0948777,
        0.104763,
        0.111153,
        0.15339,
        0.162498,
        0.160193,
        0.210207,
        0.203501,
        0.151097,
        0.145444,
        0.134508,
        0.114831,
        0.103188,
        0.09339,
        0.0873092,
        0.0846995,
        0.0844686,
        0.0839867,
        0.0782733,
        0.0760182,
        0.0737407,
        0.0717649,
        0.0634224,
        0.0588445,
        0.0628728,
        0.0622715,
        0.0604475,
        0.0586432,
        0.0584615,
        0.0571763,
        0.0561531,
        0.0620504,
        0.0583246,
        0.0497442,
        0.0566747,
        0.0583853,
        0.057404,
        0.0588779,
        0.0579621,
        0.0548996,
        0.0503669,
        0.0497162,
        0.0507954,
        0.0524158,
        0.0519261,
        0.0517132,
        0.0513721,
        0.0540994,
        0.0519151,
        0.0477945,
        0.0518911,
        0.0509755,
        0.0514285,
        0.0549853,
        0.0525601,
        0.0495286,
        0.0445796,
        0.0502127,
        0.0518681,
        0.0488126,
        0.0529392,
        0.0514149,
        0.0470975,
        0.0478017,
        0.0516078,
        0.0549083,
        0.0553465,
        0.0554564,
        0.0568381,
        0.0636608,
        0.0642291,
        0.0683897,
        0.0731173,
        0.0729888,
        0.0695898,
        0.0632575,
        0.0670164,
        0.0655009,
        0.0619322,
        0.0666905,
        0.0677769,
        0.061398,
        0.0673573,
        0.0638925,
        0.0591107,
        0.0527738,
        0.0573028,
        0.0606608,
        0.0594353,
        0.0560425,
        0.0519624,
        0.0495367,
        0.0536798,
        0.0541401,
        0.0534994,
        0.0467442,
        0.0502162,
        0.0555514,
        0.0569526,
        0.0559482,
        0.0517574,
        0.0466848,
        0.0452202,
        0.0452488,
        0.0473458,
        0.0520168,
        0.0500746,
        0.0466162,
        0.0549398,
        0.056552,
        0.0544885,
        0.0487437,
        0.0546347,
        0.0599068,
        0.0572718,
        0.054827,
        0.0529908,
        0.0564213,
        0.0542055,
        0.0534554,
        0.0543741,
        0.0539188,
        0.0542464,
        0.0549524,
        0.0596709,
        0.0587952,
        0.0575,
        0.054023,
        0.0523578,
        0.0554096,
        0.0624895,
        0.0620691,
        0.0566977,
        0.0448198,
        0.0521812,
        0.0583168,
        0.0613488,
        0.0590283,
        0.0574294,
        0.0557517,
        0.0637778,
        0.0633941,
        0.0601874,
        0.0627825,
        0.0626187,
        0.0644548,
        0.0703759,
        0.0677308,
        0.0698898,
        0.0728269,
        0.0670257,
        0.0710964,
        0.0791205,
        0.0790903,
        0.0870287,
        0.0929277,
        0.0802942,
        0.0777952,
        0.0807858,
        0.0825698,
        0.088967,
        0.0991789,
        0.113757,
        0.111418,
        0.115067,
        0.123866,
        0.141386,
        0.164097,
        0.185453,
        0.220381,
        0.197377,
        0.159265,
        0.154546,
        0.127915,
        0.114127,
        0.105041,
        0.094299,
        0.0813855,
        0.0874533,
        0.0828028,
        0.0710613,
        0.0756702,
        0.0688783,
        0.0594995,
        0.0602788,
        0.0576706,
        0.0545728,
        0.0549517,
        0.0598339,
        0.0621934,
        0.0595413,
        0.054927,
        0.0569586,
        0.0647379,
        0.0657541,
        0.0634183,
        0.0607432,
        0.0650939,
        0.0564273,
        0.0473238,
        0.0638879,
        0.0550024,
        0.0440842,
        0.0418466,
        0.0443958,
        0.0486918,
        0.0544309,
        0.0522838,
        0.0486899,
        0.0443067,
        0.0434875,
        0.0515517,
        0.0611986,
        0.0576835,
        0.0548205,
        0.0521189,
        0.0492976,
        0.0542496,
        0.0565585,
        0.0528304,
        0.0591931,
        0.0572176,
        0.0474169,
        0.0486837,
        0.0506727,
        0.0516161,
        0.0442954,
        0.0506974,
        0.0588756,
        0.0562975,
        0.0582287,
        0.0612186,
        0.0642956,
        0.0833376,
        0.111498,
        0.147547,
        0.138507,
        0.125472,
        0.109227,
        0.0912466,
        0.0755928,
        0.0651661,
        0.0691141,
        0.0622079,
        0.0542335,
        0.0506527,
        0.0464587,
        0.0466196,
        0.0525748,
        0.046212,
        0.0432326,
        0.0438262,
        0.0472794,
        0.0445227,
        0.0413298,
        0.0516716,
        0.0518151,
        0.0484891,
        0.0453979,
        0.05002,
        0.0537898,
        0.054236,
        0.0493438,
        0.0472235,
        0.048221,
        0.0487463,
        0.0487127,
        0.0499753,
        0.0601492,
        0.0556283,
        0.0478152,
        0.0475909,
        0.0488216,
        0.0523589,
        0.0592504,
        0.048783,
        0.0494048,
        0.0641889,
        0.0509298,
        0.0485358,
        0.0525338,
        0.044313,
        0.0419576,
        0.0422931,
        0.0423209,
        0.0469946,
        0.0504381,
        0.0490174,
        0.0479215,
        0.0477304,
        0.0486117,
        0.0473225,
        0.0478786,
        0.0495931,
        0.0484838,
        0.049902,
        0.0520981,
        0.052223,
        0.0474002,
        0.0440918,
        0.0478077,
        0.0502551,
        0.0519218,
        0.0527787,
        0.0574871,
        0.0529128,
        0.0417545,
        0.055983,
        0.0571093,
        0.0529242,
        0.0596875,
        0.0641699,
        0.0644386,
        0.0563083,
        0.0584041,
        0.0624892,
        0.0666959,
        0.0698441,
        0.0727749,
        0.0754873,
        0.0772207,
        0.0763157,
        0.0753221,
        0.0825865,
        0.0875186,
        0.0882043,
        0.0799194,
        0.236548,
        0.248954,
        0.249215,
        0.172484,
        0.169421,
        0.142641,
        0.117652,
        0.107243,
        0.0965394,
        0.0848987,
        0.0723461,
        0.0751813,
        0.0751704,
        0.0739607,
        0.080326,
        0.0699581,
        0.0555441,
        0.0547869,
        0.0641935,
        0.0660563,
        0.0482295,
        0.0605141,
        0.0681711,
        0.0658989,
        0.0614329,
        0.0578513,
        0.0561034,
        0.063412,
        0.0618354,
        0.0568365,
        0.055552,
        0.0579988,
        0.0579521,
        0.0509095,
        0.0549682,
        0.0594921,
        0.0628703,
        0.0556295,
        0.054553,
        0.0573834,
        0.0510205,
        0.0534003,
        0.0559441,
        0.0438575,
        0.0462553,
        0.049869,
        0.047414,
        0.0502607,
        0.0510094,
        0.0481208,
        0.0470164,
        0.0495994,
        0.0553392,
        0.0627758,
        0.0636998,
        0.0619397,
        0.0625218,
        0.0583075,
        0.0551968,
        0.0574661,
        0.0545692,
        0.0524475,
        0.0521418,
        0.0521156,
        0.0482176,
        0.0423816,
        0.0477804,
        0.0481527,
        0.0458326,
        0.0429089,
        0.0475567,
        0.0517532,
        0.0504532,
        0.0505995,
        0.0506172,
        0.0502278,
        0.0572602,
        0.0545304,
        0.0458308,
        0.0534497,
        0.0538386,
        0.0514465,
        0.0523779,
        0.0526763,
        0.0506862,
        0.0444398,
        0.0480599,
        0.0515616,
        0.0535208,
        0.0497305,
        0.04973,
        0.0513535,
        0.0419459,
        0.0434817,
        0.0482669,
        0.0464199,
        0.0468999,
        0.0475281,
        0.0472286,
        0.0504913,
        0.0490377,
        0.0415891,
        0.0438428,
        0.0432825,
        0.0418311,
        0.0492426,
        0.0503651,
        0.0491309,
        0.0497463,
        0.0508872,
        0.0487752,
        0.0405162,
        0.0385116,
        0.0403287,
        0.0456338,
        0.0487872,
        0.0475886,
        0.044398,
        0.0487157,
        0.0487332,
        0.0471146,
        0.0464715,
        0.050336,
        0.0511101,
        0.0444328,
        0.0465688,
        0.0478843,
        0.0476095,
        0.0499656,
        0.0505852,
        0.0497163,
        0.0470811,
        0.0462022,
        0.0476328,
        0.053324,
        0.0541776,
        0.0559516,
        0.0609661,
        0.0576683,
        0.0601971,
        0.06819,
        0.0572026,
        0.0564962,
        0.0612229,
        0.0608923,
        0.0581936,
        0.0554498,
        0.0548764,
        0.0507861,
        0.0489193,
        0.0515045,
        0.0491232,
        0.0513072,
        0.0573854,
        0.0583881,
        0.0594332,
        0.0611056,
        0.0652346,
        0.0758574,
        0.0837355,
        0.0804086,
        0.0930551,
        0.104409,
        0.11075,
        0.143049,
        0.155684,
        0.137286,
        0.102826,
        0.0881255,
        0.0917249,
        0.0841966,
        0.0634171,
        0.0751844,
        0.0801386,
        0.0783824,
        0.0647775,
        0.0805967,
        0.092788,
        0.0629406,
        0.0523172,
        0.0486199,
        0.0497022,
        0.0494454,
        0.0511304,
        0.0538859,
        0.0444304,
        0.0424736,
        0.0460034,
        0.0533153,
        0.050937,
        0.0489091,
        0.0551201,
        0.0523926,
        0.0477657,
        0.0425968,
        0.0496612,
        0.0489908,
        0.0423578,
        0.0425982,
        0.0469613,
        0.0498082,
        0.0401077,
        0.0376457,
        0.0386738,
        0.0426138,
        0.0467067,
        0.0466169,
        0.0416608,
        0.036871,
        0.0373046,
        0.0407154,
        0.0379745,
        0.0392666,
        0.0426583,
        0.0471562,
        0.0479116,
        0.0462268,
        0.0419415,
        0.0426147,
        0.0455975,
        0.0500243,
        0.0421259,
        0.0422959,
        0.0461647,
        0.043405,
        0.0416289,
        0.0387698,
        0.0325482,
        0.0424707,
        0.0471321,
        0.0403515,
        0.0409495,
        0.0448512,
        0.0510554,
        0.0526997,
        0.0515174,
        0.0480726,
        0.0419086,
        0.0409586,
        0.04229,
        0.0452729,
        0.0512833,
        0.0523125,
        0.0472343,
        0.0535173,
        0.0537257,
        0.04972,
        0.045984,
        0.0474996,
        0.0499192,
        0.0483485,
        0.0471694,
        0.0463064,
        0.0458063,
        0.0426862,
        0.0456213,
        0.0497701,
        0.0469184,
        0.0500971,
        0.0555836,
        0.0520041,
        0.0511322,
        0.0507636,
        0.0452024,
        0.0439797,
        0.0483336,
        0.0562576,
        0.0511219,
        0.0486586,
        0.0486005,
        0.0553534,
        0.0538481,
        0.0493255,
        0.0435009,
        0.0480276,
        0.0536322,
        0.0556286,
        0.0545189,
        0.0537906,
        0.0535548,
        0.050883,
        0.0482384,
        0.0467317,
        0.0505145,
        0.0508835,
        0.050769,
        0.0515374,
        0.0622772,
        0.0663345,
        0.0608527,
        0.0556995,
        0.0545587,
        0.0555676,
        0.0536682,
        0.0506352,
        0.049467,
        0.0565611,
        0.0590092,
        0.0577562,
        0.0566782,
        0.0551853,
        0.0518951,
        0.0474803,
        0.0472227,
        0.045779,
        0.043145,
        0.0429523,
        0.0442301,
        0.0486006,
        0.0472948,
        0.0463876,
        0.0491478,
        0.050373,
        0.0549656,
        0.0570518,
        0.0560033,
        0.0493701,
        0.0512325,
        0.0579945,
        0.0608588,
        0.0669739,
        0.0696465,
        0.0711468,
        0.0905122,
        0.0870091,
        0.0795369,
        0.083509,
        0.0941084,
        0.103625,
        0.114373,
        0.11373,
        0.117954,
        0.148788,
        0.181683,
        0.195497,
        0.193964,
        0.161489,
        0.146597,
        0.111191,
        0.0874722,
        0.0784168,
        0.0871964,
        0.0790427,
        0.0663638,
        0.0643672,
        0.0582262,
        0.0567127,
        0.0606803,
        0.0527193,
        0.0549012,
        0.0593817,
        0.0576261,
        0.0559243,
        0.0544654,
        0.0538809,
        0.0509391,
        0.0503494,
        0.0538894,
        0.058164,
        0.0579052,
        0.0500573,
        0.049858,
        0.0490848,
        0.0482635,
        0.0509002,
        0.0564766,
        0.0579882,
        0.0539918,
        0.0496458,
        0.0463843,
        0.0444984,
        0.0540673,
        0.0547882,
        0.0509047,
        0.0573794,
        0.0581109,
        0.0561929,
        0.0545902,
        0.0510323,
        0.0494335,
        0.0515982,
        0.0528173,
        0.0537944,
        0.0552269,
        0.052559,
        0.0501418,
        0.0481531,
        0.0425558,
        0.0458774,
        0.0497677,
        0.0500616,
        0.0536833,
        0.0539867,
        0.0521018,
        0.0527215,
        0.0559309,
        0.0561884,
        0.0526046,
        0.0509793,
        0.0502839,
        0.0508823,
        0.0483522,
        0.0467167,
        0.0497136,
        0.0463884,
        0.0439301,
        0.0444708,
        0.0481607,
        0.0513938,
        0.0516093,
        0.0488552,
        0.0442273,
        0.0453377,
        0.0517227,
        0.052016,
        0.0515268,
        0.0539294,
        0.0517655,
        0.0486701,
        0.0459007,
        0.044609,
        0.047613,
        0.0515611,
        0.0519004,
        0.0493779,
        0.0473646,
        0.0490448,
        0.0533449,
        0.0537785,
        0.0508725,
        0.0491579,
        0.0507138,
        0.0522272,
        0.0516968,
        0.0521402,
        0.0505811,
        0.0493105,
        0.0547249,
        0.0546227,
        0.0494008,
        0.0493713,
        0.0495121,
        0.0476421,
        0.047911,
        0.0491551,
        0.050313,
        0.0483714,
        0.0516603,
        0.0533995,
        0.0517787,
        0.0534297,
        0.0514243,
        0.0485215,
        0.0456722,
        0.0464626,
        0.046003,
        0.0481745,
        0.0520735,
        0.0545057,
        0.0570146,
        0.0602414,
        0.0591425,
        0.0555302,
        0.0502224,
        0.0503158,
        0.0532365,
        0.0559537,
        0.0548119,
        0.0556748,
        0.059599,
        0.0533955,
        0.0490264,
        0.0449768,
        0.0462407,
        0.0491907,
        0.052512,
        0.0546424,
        0.0578801,
        0.0590351,
        0.0572561,
        0.0557865,
        0.0560721,
        0.0564232,
        0.0543334,
        0.0542348,
        0.0567285,
        0.0639765,
        0.0695428,
        0.0691504,
        0.0594356,
        0.0691389,
        0.0688295,
        0.0616644,
        0.0665042,
        0.0716737,
        0.0760953,
        0.077873,
        0.087538,
        0.0966053,
        0.103104,
        0.113245,
        0.125421,
        0.118909,
        0.161338,
        0.184525,
        0.136764,
        0.110656,
        0.0964123,
        0.0859006,
        0.083885,
        0.0797085,
        0.0758496,
        0.0698408,
        0.0660353,
        0.0609531,
        0.0613025,
        0.060016,
        0.0561211,
        0.0555693,
        0.0567211,
        0.0602221,
        0.063707,
        0.0547446,
        0.0544537,
        0.0613946,
        0.0574293,
        0.0549246,
        0.0522148,
        0.0492112,
        0.050257,
        0.0543724,
        0.0552112,
        0.053302,
        0.0505963,
        0.0490967,
        0.0541298,
        0.054957,
        0.0490208,
        0.051328,
        0.0548719,
        0.0562568,
        0.0557459,
        0.0550761,
        0.0564962,
        0.0627117,
        0.0587363,
        0.0565672,
        0.0603183,
        0.0622336,
        0.0574646,
        0.0523954,
        0.0497464,
        0.0547723,
        0.0573318,
        0.0548806,
        0.0549622,
        0.0539042,
        0.0524765,
        0.0554271,
        0.0607477,
        0.064823,
        0.068799,
        0.0664307,
        0.0618951,
        0.0606038,
        0.0561275,
        0.0556713,
        0.054714,
        0.0538997,
        0.0588077,
        0.0600991,
        0.0578487,
        0.0668942,
        0.0732266,
        0.076758,
        0.0743234,
        0.0734869,
        0.0735465,
        0.0761602,
        0.0757018,
        0.071337,
        0.0815543,
        0.0861837,
        0.0897529,
        0.0913855,
        0.0922879,
        0.0888469,
        0.0811891,
        0.089593,
        0.0932259,
        0.096111,
        0.102717,
        0.0957609,
        0.0927153,
        0.101019,
        0.11542,
        0.119774,
        0.115553,
        0.135285,
        0.145125,
        0.162004,
        0.20234,
        0.208015,
        0.237716,
        0.199473,
        0.175108,
        0.143064,
        0.134044,
        0.126077,
        0.119441,
        0.10891,
        0.107694,
        0.105087,
        0.0955139,
        0.0914876,
        0.084299,
        0.082802,
        0.0842826,
        0.0868703,
        0.0876324,
        0.082704,
        0.0868697,
        0.0805416,
        0.0752059,
        0.0751569,
        0.0742191,
        0.0695853,
        0.0655066,
        0.0662494,
        0.0702014,
        0.064936,
        0.0679056,
        0.0707301,
        0.0677295,
        0.0696113,
        0.0695274,
        0.0689917,
        0.0659152,
        0.0752304,
        0.0848956,
        0.0779802,
        0.0848194,
        0.0923395,
        0.0988433,
        0.111432,
        0.108662,
        0.116015,
        0.116218,
        0.181196,
        0.218508,
        0.157065,
        0.134413,
        0.123139,
        0.117771,
        0.0945994,
        0.0817493,
        0.0771033,
        0.0773883,
        0.0760912,
        0.0722974,
        0.0649256,
        0.0705657,
        0.0689623,
        0.0612307,
        0.0612357,
        0.055372,
        0.0513868,
        0.0583972,
        0.0530184,
        0.0523834,
        0.0587824,
        0.0590626,
        0.0618958,
        0.0645334,
        0.0609535,
        0.0582515,
        0.0541164,
        0.0474228,
        0.0522585,
        0.0540794,
        0.054516,
        0.0603082,
        0.054708,
        0.0484087,
        0.0483942,
        0.0495194,
        0.0557859,
        0.0658168,
        0.0619398,
        0.0615226,
        0.0627164,
        0.0637949,
        0.0598016,
        0.0593304,
        0.0640577,
        0.0591908,
        0.0583459,
        0.0595349,
        0.0580821,
        0.0596508,
        0.0588412,
        0.0525804,
        0.0482178,
        0.0511015,
        0.0590723,
        0.0624903,
        0.0582226,
        0.0527404,
        0.0515503,
        0.0446466,
        0.0467938,
        0.0584605,
        0.052821,
        0.0551025,
        0.0594751,
        0.0575427,
        0.0502064,
        0.0473896,
        0.0520917,
        0.0559406,
        0.061622,
        0.0661623,
        0.0587947,
        0.0563995,
        0.0614056,
        0.0772094,
        0.0592493,
        0.050369,
        0.05167,
        0.0550304,
        0.056592,
        0.0593562,
        0.0669282,
        0.0625503,
        0.0579803,
        0.0555852,
        0.0573368,
        0.059637,
        0.0609292,
        0.0576843,
        0.0576295,
        0.0583142,
        0.0590253,
        0.0516837,
        0.0513508,
        0.0569183,
        0.0659851,
        0.0617001,
        0.0568708,
        0.0604057,
        0.0569255,
        0.0560482,
        0.0584395,
        0.0625329,
        0.0630606,
        0.0619656,
        0.0608147,
        0.0564901,
        0.0615189,
        0.0780086,
        0.0663884,
        0.0635486,
        0.0656867,
        0.0658401,
        0.0609354,
        0.0604268,
        0.069025,
        0.0603531,
        0.0598041,
        0.0648301,
        0.0642277,
        0.0615122,
        0.0605854,
        0.0646622,
        0.0617147,
        0.0605965,
        0.0630011,
        0.0758066,
        0.0718309,
        0.0667979,
        0.0823648,
        0.0908909,
        0.0879274,
        0.0722762,
        0.06934,
        0.0705096,
        0.0714891,
        0.0621894,
        0.0681713,
        0.0695974,
        0.0578131,
        0.0614367,
        0.0638489,
        0.065224,
        0.069459,
        0.0747406,
        0.0765222,
        0.0697831,
        0.0783746,
        0.0803986,
        0.0742985,
        0.0713096,
        0.0750348,
        0.0812317,
        0.085238,
        0.0777782,
        0.0765369,
        0.0855802,
        0.0944401,
        0.096691,
        0.0967521,
        0.105619,
        0.0908101,
        0.0888322,
        0.12042,
        0.111383,
        0.109708,
        0.116857,
        0.132086,
        0.156268,
        0.195368,
        0.259314,
        0.294994,
        0.207436,
        0.194807,
        0.182534,
        0.169952,
        0.155095,
        0.157012,
        0.153834,
        0.134182,
        0.141039,
        0.142703,
        0.138706,
        0.131106,
        0.137456,
        0.151228,
        0.169863,
        0.161447,
        0.163642,
        0.180246,
        0.209245,
        0.199858,
        0.1864,
        0.210318,
        0.228709,
        0.244511,
        0.25882,
        null,
        0.273142,
        0.242374,
        0.217553,
        0.20945,
        0.197922,
        0.163748,
        0.176697,
        0.18067,
        0.170716,
        0.176013,
        0.165816,
        0.149394,
        0.137412,
        0.135984,
        0.138491,
        0.143316,
        0.137312,
        0.133922,
        0.13048,
        0.120551,
        0.113161,
        0.112047,
        0.119895,
        0.104189,
        0.0929725,
        0.0891605,
        0.104385,
        0.101676,
        0.0966817,
        0.0993312,
        0.0855024,
        0.083537,
        0.0923436,
        0.0868646,
        0.0856783,
        0.0848058,
        0.0799742,
        0.092706,
        0.094734,
        0.0824713,
        0.0872264,
        0.0818671,
        0.074671,
        0.0797676,
        0.0791428,
        0.0779111,
        0.0775779,
        0.0840594,
        0.0780768,
        0.067466,
        0.0742646,
        0.0721176,
        0.0679742,
        0.0649289,
        0.0754395,
        0.0805803,
        0.081102,
        0.0846471,
        0.0812065,
        0.079319,
        0.0867399,
        0.0952258,
        0.0939641,
        0.0835247,
        0.0841198,
        0.0860319,
        0.0876064,
        0.0864219,
        0.0819085,
        0.0833901,
        0.0925248,
        0.0818222,
        0.0856288,
        0.0942121,
        0.0876829,
        0.100657,
        0.107545,
        0.0974476,
        0.0990195,
        0.103341,
        0.10832,
        0.106839,
        0.132073,
        0.157793,
        0.167309,
        0.222482,
        0.254588,
        0.17957,
        0.13911,
        0.119062,
        0.116136,
        0.103942,
        0.106086,
        0.111219,
        0.101327,
        0.0914168,
        0.0839084,
        0.0796651,
        0.0685997,
        0.0770071,
        0.0931583,
        0.0866744,
        0.0904346,
        0.0899004,
        0.077049,
        0.0659227,
        0.0667269,
        0.0760295,
        0.0775391,
        0.0813792,
        0.0819829,
        0.0737976,
        0.0772073,
        0.0759242,
        0.0693493,
        0.0691563,
        0.0686204,
        0.0690893,
        0.0723637,
        0.0747809,
        0.0831037,
        0.0954233,
        0.0661513,
        0.0615587,
        0.0708385,
        0.0822603,
        0.0739469,
        0.0694029,
        0.0754117,
        0.0712427,
        0.0723898,
        0.0741706,
        0.0636985,
        0.0569821,
        0.0595472,
        0.0760729,
        0.0681112,
        0.0681075,
        0.0744082,
        0.0745425,
        0.0704571,
        0.0287295,
        0.0376443,
        0.0470561,
        0.0556012,
        0.0624625,
        0.0680359,
        0.0637106,
        0.0575311,
        0.0698393,
        0.0691831,
        0.0671892,
        0.0675508,
        0.0740042,
        0.077256,
        0.0760664,
        0.0717788,
        0.0731857,
        0.0715154,
        0.064574,
        0.0691725,
        0.0708126,
        0.0717462,
        0.0787169,
        0.0750671,
        0.0733658,
        0.0755394,
        0.0772051,
        0.0785678,
        0.078146,
        0.0805584,
        0.0820684,
        0.0820721,
        0.0795639,
        0.0803306,
        0.0825093,
        0.0878277,
        0.0974878,
        0.0911514,
        0.0870673,
        0.0894771,
        0.0945726,
        0.0972872,
        0.101238,
        0.107147,
        0.104897,
        0.0943136,
        0.0912767,
        0.104079,
        0.106116,
        0.0972404,
        0.0971133,
        0.113441,
        0.122107,
        0.12051,
        0.108799,
        0.102021,
        0.10739,
        0.110689,
        0.113315,
        0.115195,
        0.106506,
        0.120782,
        0.124626,
        0.11299,
        0.125994,
        0.141042,
        0.148855,
        0.152439,
        0.16492,
        0.160214,
        0.162267,
        0.165617,
        0.164238,
        0.174924,
        0.191963,
        0.211154,
        0.238108,
        0.235227,
        0.257461,
        null,
        0.282768,
        0.251407,
        0.216551,
        0.205232,
        0.202049,
        0.17907,
        0.173571,
        0.163517,
        0.140712,
        0.152638,
        0.153779,
        0.179772,
        0.180029,
        0.211605,
        0.209393,
        0.170892,
        0.168616,
        0.146088,
        0.131306,
        0.130726,
        0.124004,
        0.122955,
        0.137944,
        0.12696,
        0.121807,
        0.120438,
        0.117537,
        0.11399,
        0.105084,
        0.100685,
        0.120907,
        0.127987,
        0.119513,
        0.110881,
        0.103628,
        0.101793,
        0.100257,
        0.0943379,
        0.0934239,
        0.0957696,
        0.0883632,
        0.0876259,
        0.0974453,
        0.0974789,
        0.0937905,
        0.0915354,
        0.0923819,
        0.0900858,
        0.0879493,
        0.0902438,
        0.0812243,
        0.0749591,
        0.0757311,
        0.0766791,
        0.0737798,
        0.0804405,
        0.0936778,
        0.0919871,
        0.0847847,
        0.0757258,
        0.0741235,
        0.0702622,
        0.073007,
        0.075238,
        0.0776478,
        0.0852143,
        0.0891661,
        0.0792941,
        0.0740144,
        0.0719522,
        0.0709621,
        0.0790097,
        0.0757758,
        0.070502,
        0.0722659,
        0.0714075,
        0.0700965,
        0.0697374,
        0.0657509,
        0.0609626,
        0.0586211,
        0.0608345,
        0.0630803,
        0.0660551,
        0.0695172,
        0.0712622,
        0.072997,
        0.0734167,
        0.0702147,
        0.0598611,
        0.0594561,
        0.0693971,
        0.0687591,
        0.0645079,
        0.0622878,
        0.0672595,
        0.0673203,
        0.070712,
        0.0755247,
        0.0744433,
        0.0772722,
        0.0766403,
        0.0743836,
        0.0717931,
        0.07636,
        0.090601,
        0.100657,
        0.0957243,
        0.0937404,
        0.104151,
        0.139,
        0.16616,
        0.177592,
        0.172526,
        0.156021,
        0.133511,
        0.175229,
        0.13426,
        0.0960303,
        0.0835972,
        0.0895391,
        0.0827901,
        0.0784825,
        0.0730016,
        0.0729466,
        0.0724254,
        0.0682367,
        0.066767,
        0.0654992,
        0.0628432,
        0.0629754,
        0.0631564,
        0.0634944,
        0.0667492,
        0.0667083,
        0.0639079,
        0.0588077,
        0.0561789,
        0.0582438,
        0.057596,
        0.0541649,
        0.0515132,
        0.0541128,
        0.0524245,
        0.0546699,
        0.045356,
        0.04693,
        0.0522333,
        0.0561363,
        0.0538577,
        0.0568329,
        0.0570641,
        0.0565164,
        0.0524964,
        0.0510221,
        0.0516661,
        0.0442213,
        0.0500249,
        0.0535944,
        0.0473439,
        0.0417967,
        0.0398193,
        0.0410248,
        0.0418189,
        0.0486775,
        0.0524047,
        0.0454011,
        0.0509197,
        0.0494261,
        0.0431868,
        0.0439969,
        0.0463294,
        0.0463989,
        0.0488237,
        0.049115,
        0.0527876,
        0.0513645,
        0.051884,
        0.0488357,
        0.0482335,
        0.0481643,
        0.0502685,
        0.0516426,
        0.0510762,
        0.052015,
        0.0502513,
        0.0457354,
        0.0472911,
        0.059127,
        0.055951,
        0.0499269,
        0.0543569,
        0.0580804,
        0.0577401,
        0.0563456,
        0.0572107,
        0.0545169,
        0.0507201,
        0.0493822,
        0.0441722,
        0.0492738,
        0.0575857,
        0.0495889,
        0.0474736,
        0.0475085,
        0.0535431,
        0.0619581,
        0.0617521,
        0.0571804,
        0.0558305,
        0.0574828,
        0.0565964,
        0.0520227,
        0.052756,
        0.0540074,
        0.0528503,
        0.0444185,
        0.0488242,
        0.0500602,
        0.0456448,
        0.0461773,
        0.0438217,
        0.0413057,
        0.0412088,
        0.0443891,
        0.0475584,
        0.048986,
        0.0560721,
        0.0537838,
        0.0480668,
        0.0415081,
        0.0484845,
        0.0503134,
        0.0468063,
        0.0466474,
        0.0480322,
        0.0488768,
        0.0462811,
        0.0485958,
        0.0479795,
        0.0448157,
        0.0419728,
        0.0470025,
        0.0504069,
        0.047343,
        0.0488879,
        0.0520966,
        0.0535677,
        0.0496751,
        0.048096,
        0.0477517,
        0.0474568,
        0.0455966,
        0.0466063,
        0.0500212,
        0.0563796,
        0.0553917,
        0.0516961,
        0.0471221,
        0.0463215,
        0.0503676,
        0.0568635,
        0.0612249,
        0.0551395,
        0.051071,
        0.0528036,
        0.0513919,
        0.0512077,
        0.0523235,
        0.0453002,
        0.0488869,
        0.0485912,
        0.046583,
        0.0493799,
        0.0454342,
        0.0454652,
        0.0471845,
        0.0517164,
        0.0548883,
        0.0508448,
        0.0541425,
        0.0566582,
        0.0585961,
        0.05887,
        0.0620874,
        0.0614056,
        0.0623262,
        0.0643065,
        0.072378,
        0.0777823,
        0.0731538,
        0.105774,
        0.121795,
        0.138825,
        0.153117,
        0.13972,
        0.120309,
        0.104107,
        0.0861739,
        0.0709868,
        0.0619494,
        0.0576968,
        0.0624894,
        0.0640316,
        0.0584187,
        0.0490138,
        0.0567556,
        0.0619794,
        0.0547446,
        0.0612667,
        0.0573021,
        0.0583676,
        0.0528247,
        0.0512296,
        0.0523592,
        0.0592464,
        0.0581387,
        0.0556216,
        0.0545122,
        0.0497321,
        0.0530439,
        0.0540865,
        0.0525394,
        0.0526854,
        0.0501179,
        0.0501858,
        0.0521865,
        0.0574517,
        0.0574986,
        0.0520964,
        0.0531479,
        0.061117,
        0.0616729,
        0.0547068,
        0.0611059,
        0.063564,
        0.0628699,
        0.0553017,
        0.0504017,
        0.0515046,
        0.053201,
        0.0541151,
        0.054351,
        0.0529276,
        0.0501367,
        0.0563415,
        0.0609511,
        0.0587214,
        0.0640493,
        0.0636601,
        0.0614391,
        0.0553495,
        0.0600185,
        0.0602996,
        0.0619576,
        0.0696058,
        0.0640157,
        0.0580425,
        0.0576099,
        0.0686946,
        0.0712529,
        0.0680821,
        0.0641992,
        0.0678201,
        0.0657844,
        0.0635175,
        0.0643031,
        0.0699655,
        0.0767407,
        0.0776899,
        0.0785741,
        0.0825728,
        0.0886728,
        0.0888574,
        0.0874571,
        0.092783,
        0.102674,
        0.107741,
        0.112334,
        0.114553,
        0.108627,
        0.134033,
        0.160701,
        0.181488,
        0.198482,
        0.204382,
        0.184903,
        0.17555,
        0.165943,
        0.138632,
        0.133364,
        0.128905,
        0.122143,
        0.133217,
        0.12461,
        0.113003,
        0.115363,
        0.101875,
        0.0938115,
        0.0946288,
        0.108234,
        0.118002,
        0.117791,
        0.0998637,
        0.103593,
        0.10691,
        0.110655,
        0.124166,
        0.117249,
        0.109775,
        0.112363,
        0.0986313,
        0.0981981,
        0.103566,
        0.0943006,
        0.0748691,
        0.0637818,
        0.0674702,
        0.0630666,
        0.0626944,
        0.0641308,
        0.0635386,
        0.0594677,
        0.0574093,
        0.0585676,
        0.0623911,
        0.0625964,
        0.060589,
        0.0575014,
        0.0577431,
        0.0573457,
        0.0561799,
        0.0569951,
        0.0599734,
        0.0648447,
        0.0718154,
        0.0732832,
        0.0792837,
        0.0910724,
        0.111596,
        0.0960441,
        0.0786522,
        0.0771481,
        0.08313,
        0.0786403,
        0.0674405,
        0.0603981,
        0.0604017,
        0.0578784,
        0.0496593,
        0.0514481,
        0.0496232,
        0.0470782,
        0.0489709,
        0.0484183,
        0.0473829,
        0.0464748,
        0.0485145,
        0.0505169,
        0.051627,
        0.0505152,
        0.0458804,
        0.045272,
        0.0493861,
        0.0542095,
        0.0471855,
        0.0395288,
        0.0409208,
        0.0416162,
        0.0429278,
        0.0446267,
        0.0453062,
        0.0485805,
        0.0507281,
        0.0494004,
        0.0493046,
        0.0455505,
        0.041081,
        0.0444526,
        0.0473263,
        0.0501839,
        0.0529256,
        0.0409206,
        0.039835,
        0.0438162,
        0.0427811,
        0.0419704,
        0.0403889,
        0.0386563,
        0.0488303,
        0.0495386,
        0.046885,
        0.0475633,
        0.0483382,
        0.0475937,
        0.0450159,
        0.0399806,
        0.0393786,
        0.0423678,
        0.0490539,
        0.0412508,
        0.0378909,
        0.0402606,
        0.049005,
        0.0463149,
        0.0440605,
        0.0492855,
        0.050614,
        0.0494634,
        0.0470217,
        0.0464015,
        0.0454953,
        0.0435929,
        0.0404734,
        0.0435864,
        0.0495915,
        0.0548186,
        0.0512679,
        0.0493033,
        0.0470661,
        0.0443285,
        0.0455881,
        0.0460642,
        0.0446178,
        0.0391625,
        0.0455799,
        0.0471418,
        0.0428979,
        0.0446258,
        0.0442293,
        0.0415048,
        0.0357239,
        0.0387739,
        0.041297,
        0.0434698,
        0.0501417,
        0.0485935,
        0.0464456,
        0.047968,
        0.0431965,
        0.0427924,
        0.0453985,
        0.0460159,
        0.0417945,
        0.0397763,
        0.0426957,
        0.0462403,
        0.0425873,
        0.0364162,
        0.0365172,
        0.0381075,
        0.0396421,
        0.0408021,
        0.0430543,
        0.0459485,
        0.047849,
        0.0462527,
        0.0449082,
        0.0453232,
        0.047231,
        0.0460071,
        0.0462371,
        0.046281,
        0.0446845,
        0.042178,
        0.0396807,
        0.0387064,
        0.0462297,
        0.0432021,
        0.0395833,
        0.0413273,
        0.0402235,
        0.0401925,
        0.0405294,
        0.0387757,
        0.0431263,
        0.0438107,
        0.0366589,
        0.0391405,
        0.0429234,
        0.0453095,
        0.0404709,
        0.042748,
        0.0447617,
        0.0444847,
        0.0425145,
        0.041038,
        0.0397654,
        0.0383636,
        0.0360938,
        0.0375029,
        0.0418544,
        0.0373068,
        0.0382215,
        0.0434146,
        0.0532414,
        0.0489686,
        0.0476728,
        0.0492555,
        0.046453,
        0.046979,
        0.0470666,
        0.0442245,
        0.047987,
        0.0447447,
        0.0394618,
        0.0475044,
        0.0440785,
        0.0395751,
        0.0382303,
        0.0450213,
        0.0473817,
        0.0455882,
        0.0385631,
        0.046698,
        0.0521918,
        0.0515628,
        0.0641538,
        0.0606225,
        0.0517674,
        0.0501917,
        0.0538313,
        0.054372,
        0.0512382,
        0.0500519,
        0.0494264,
        0.0479733,
        0.0441688,
        0.0496261,
        0.0508128,
        0.0486054,
        0.0512538,
        0.0477653,
        0.043893,
        0.043077,
        0.0441591,
        0.0447306,
        0.0442117,
        0.0405216,
        0.0377509,
        0.0380341,
        0.0423333,
        0.0419665,
        0.0415532,
        0.0421776,
        0.0464837,
        0.0407446,
        0.0396239,
        0.0460223,
        0.0462073,
        0.0422238,
        0.0398224,
        0.0475292,
        0.0430066,
        0.0415905,
        0.0437369,
        0.036391,
        0.0363578,
        0.0394574,
        0.0426688,
        0.0390662,
        0.0394238,
        0.043036,
        0.0431603,
        0.04083,
        0.0410246,
        0.0470452,
        0.0354746,
        0.0329506,
        0.0374081,
        0.0433238,
        0.040555,
        0.0379716,
        0.0387638,
        0.0365635,
        0.0344102,
        0.0335166,
        0.0367528,
        0.0382461,
        0.0379468,
        0.0361591,
        0.0379637,
        0.0389626,
        0.0397043,
        0.0408494,
        0.0430346,
        0.0420392,
        0.0383996,
        0.0413886,
        0.039445,
        0.0400048,
        0.0500653,
        0.0435576,
        0.0427331,
        0.0471534,
        0.0489222,
        0.0442636,
        0.0396352,
        0.038608,
        0.0338305,
        0.0317538,
        0.03216,
        0.0343421,
        0.0394769,
        0.0419672,
        0.0397229,
        0.0372351,
        0.0361646,
        0.0371677,
        0.042107,
        0.039764,
        0.0378321,
        0.0380483,
        0.0402898,
        0.0410621,
        0.039982,
        0.0360427,
        0.0433226,
        0.0446339,
        0.0396795,
        0.0430706,
        0.0403615,
        0.0376509,
        0.0399476,
        0.0420617,
        0.0396766,
        0.0341509,
        0.031746,
        0.0344176,
        0.0383692,
        0.0417895,
        0.0375929,
        0.0367399,
        0.0381225,
        0.0382617,
        0.0417315,
        0.0432718,
        0.0410511,
        0.0355084,
        0.0385276,
        0.0412756,
        0.0434193,
        0.0513844,
        0.0551577,
        0.0517654,
        0.0528968,
        0.0550303,
        0.05578,
        0.0541417,
        0.0573125,
        0.0581657,
        0.0573236,
        0.0654058,
        0.0662747,
        0.0613275,
        0.0504432,
        0.0537622,
        0.0574668,
        0.0581421,
        0.0670209,
        0.0633492,
        0.0598585,
        0.0626466,
        0.066581,
        0.0741027,
        0.0786318,
        0.0865442,
        0.0889865,
        0.0956286,
        0.114469,
        0.111948,
        0.116211,
        0.129832,
        0.147396,
        0.166621,
        0.16732,
        0.199418,
        0.221782,
        0.255868,
        0.198566,
        0.181389,
        0.158429,
        0.169937,
        0.156241,
        0.135645,
        0.121062,
        0.1082,
        0.0968863,
        0.10067,
        0.0972993,
        0.0854193,
        0.0911299,
        0.0865958,
        0.0795229,
        0.0775709,
        0.0692616,
        0.0617856,
        0.0565014,
        0.0640798,
        0.0633924,
        0.0630576,
        0.0591969,
        0.0532813,
        0.0539422,
        0.056858,
        0.0500803,
        0.0509037,
        0.0541968,
        0.0562865,
        0.0559925,
        0.0561192,
        0.0553687,
        0.0575699,
        0.0526066,
        0.0438953,
        0.0414926,
        0.0508355,
        0.0544773,
        0.0581214,
        0.0485485,
        0.0478778,
        0.0519216,
        0.0515032,
        0.0516192,
        0.0492683,
        0.0484645,
        0.0516369,
        0.0505352,
        0.0474468,
        0.0467405,
        0.0516787,
        0.0510887,
        0.047415,
        0.0411233,
        0.0433682,
        0.0453532,
        0.0442797,
        0.0432347,
        0.0453897,
        0.0460712,
        0.0487129,
        0.0439334,
        0.0406396,
        0.0400078,
        0.04419,
        0.0447169,
        0.0446258,
        0.0454326,
        0.0481694,
        0.0503506,
        0.0514928,
        0.047718,
        0.0493315,
        0.0482022,
        0.0432895,
        0.0483454,
        0.0496261,
        0.0502734,
        0.0525607,
        0.0501729,
        0.050166,
        0.0521557,
        0.0444443,
        0.0448264,
        0.0450371,
        0.04075,
        0.0441154,
        0.0447706,
        0.0427853,
        0.0471356,
        0.0434624,
        0.0441368,
        0.0470746,
        0.0518123,
        0.0495037,
        0.0446961,
        0.0486166,
        0.0470611,
        0.0455491,
        0.0490883,
        0.0457065,
        0.0443809,
        0.0469324,
        0.0461303,
        0.0457782,
        0.0456253,
        0.0471274,
        0.0474487,
        0.0492692,
        0.0485266,
        0.0438501,
        0.0467201,
        0.0498527,
        0.0498604,
        0.0503219,
        0.0472095,
        0.0470315,
        0.0523865,
        0.0446858,
        0.0401016,
        0.0387746,
        0.0394312,
        0.0402402,
        0.0423296,
        0.0492669,
        0.0481035,
        0.0473505,
        0.0491757,
        0.0439121,
        0.0414261,
        0.0388776,
        0.0397587,
        0.0442483,
        0.0491924,
        0.0502819,
        0.0426449,
        0.0439622,
        0.0492848,
        0.04941,
        0.0522853,
        0.0522007,
        0.0486425,
        0.042236,
        0.0410435,
        0.042156,
        0.0460371,
        0.0506476,
        0.0469992,
        0.0423753,
        0.0427718,
        0.038999,
        0.0421839,
        0.0489799,
        0.0478237,
        0.0530898,
        0.054926,
        0.0494566,
        0.0464549,
        0.045755,
        0.0469,
        0.0497628,
        0.050396,
        0.0504901,
        0.0503877,
        0.0447138,
        0.0447356,
        0.0474869,
        0.0476194,
        0.0475214,
        0.0462938,
        0.0446831,
        0.0480052,
        0.0464437,
        0.044803,
        0.0446466,
        0.0439238,
        0.0479059,
        0.0501752,
        0.047978,
        0.0525311,
        0.0529777,
        0.0497443,
        0.048831,
        0.0474273,
        0.0440923,
        0.0425445,
        0.0526156,
        0.0694855,
        0.0680662,
        0.0654945,
        0.0646098,
        0.0693087,
        0.0694677,
        0.065898,
        0.0694812,
        0.0639094,
        0.063266,
        0.0619969,
        0.0590552,
        0.0571078,
        0.073848,
        0.0744577,
        0.0704717,
        0.0608759,
        0.051723,
        0.0589882,
        0.0582386,
        0.0561142,
        0.0545253,
        0.0565942,
        0.0529476,
        0.051695,
        0.0574308,
        0.057109,
        0.0537839,
        0.0519059,
        0.0573793,
        0.0597276,
        0.0603535,
        0.068347,
        0.0661666,
        0.0621571,
        0.0620976,
        0.0658098,
        0.0737903,
        0.0667958,
        0.0638388,
        0.0722806,
        0.0628455,
        0.0660713,
        0.0725178,
        0.0695383,
        0.0640724,
        0.0600471,
        0.0573485,
        0.0534525,
        0.0508334,
        0.0484923,
        0.0454124,
        0.0457833,
        0.0475383,
        0.0490171,
        0.0527016,
        0.0533287,
        0.0516645,
        0.0473007,
        0.0464097,
        0.0461024,
        0.0475761,
        0.0500682,
        0.0476622,
        0.0486689,
        0.0567312,
        0.0544711,
        0.0482572,
        0.0441117,
        0.0460172,
        0.0421622,
        0.0441636,
        0.0449561,
        0.0409825,
        0.0469256,
        0.048584,
        0.0442329,
        0.0442729,
        0.0428886,
        0.0410792,
        0.0469385,
        0.0458297,
        0.0445015,
        0.047111,
        0.0452273,
        0.0438989,
        0.0426835,
        0.0448338,
        0.0476192,
        0.0472674,
        0.0462311,
        0.045303,
        0.0454256,
        0.047014,
        0.04823,
        0.0452031,
        0.0422042,
        0.0449095,
        0.0436462,
        0.045779,
        0.0492719,
        0.0546231,
        0.0520836,
        0.0505564,
        0.0512873,
        0.0514528,
        0.0492006,
        0.0463967,
        0.0458234,
        0.0483298,
        0.0505275,
        0.0500671,
        0.05513,
        0.0590654,
        0.0609222,
        0.0590495,
        0.0511391,
        0.0493803,
        0.0548683,
        0.0580088,
        0.0589875,
        0.0572181,
        0.0526654,
        0.0563558,
        0.0613243,
        0.0647302,
        0.0627924,
        0.0595919,
        0.0603364,
        0.0619139,
        0.0548652,
        0.0515429,
        0.0497494,
        0.049658,
        0.0567478,
        0.0578434,
        0.0577174,
        0.0590549,
        0.0567567,
        0.0579062,
        0.0538169,
        0.0557503,
        0.0534125,
        0.0539527,
        0.0530223,
        0.050549,
        0.0473815,
        0.0461235,
        0.0486265,
        0.0456284,
        0.0423985,
        0.046177,
        0.0465492,
        0.0452699,
        0.044922,
        0.0465884,
        0.0494456,
        0.0497584,
        0.0425458,
        0.0436719,
        0.047005,
        0.04441,
        0.0453589,
        0.0473288,
        0.0483032,
        0.0512834,
        0.0487126,
        0.0472259,
        0.0460468,
        0.0446698,
        0.043788,
        0.044689,
        0.0478093,
        0.0496412,
        0.0477888,
        0.0466722,
        0.0555084,
        0.0525038,
        0.0477911,
        0.050318,
        0.0483354,
        0.0476674,
        0.0495948,
        0.0568857,
        0.0547497,
        0.0526767,
        0.0534143,
        0.052539,
        0.050608,
        0.0482254,
        0.0476311,
        0.0512025,
        0.0510265,
        0.04679,
        0.0488107,
        0.0481832,
        0.0478546,
        0.0492492,
        0.0483083,
        0.044917,
        0.0413416,
        0.0452717,
        0.0489475,
        0.0485708,
        0.0415385,
        0.0426553,
        0.0465514,
        0.0501258,
        0.0514107,
        0.0492048,
        0.0471393,
        0.0475998,
        0.0469238,
        0.0513335,
        0.0519796,
        0.0500255,
        0.0562026,
        0.0544435,
        0.0539423,
        0.0549648,
        0.0564345,
        0.0579972,
        0.0584221,
        0.0570821,
        0.0616596,
        0.0634661,
        0.0622189,
        0.0570323,
        0.0573548,
        0.0566737,
        0.0540373,
        0.0483892,
        0.0522845,
        0.0561363,
        0.0574299,
        0.0567521,
        0.0551529,
        0.0530453,
        0.0506217,
        0.049875,
        0.0528178,
        0.0548177,
        0.0486478,
        0.0496172,
        0.0536595,
        0.0587119,
        0.0597281,
        0.0627726,
        0.0632483,
        0.0601853,
        0.0561888,
        0.0569114,
        0.0613478,
        0.0691423,
        0.0596348,
        0.0616879,
        0.0670346,
        0.0631922,
        0.0629358,
        0.0638065,
        0.0664321,
        0.0738961,
        0.0740637,
        0.0726057,
        0.0713491,
        0.0728056,
        0.0668652,
        0.0602221,
        0.0575752,
        0.0595681,
        0.0655877,
        0.0698112,
        0.0629962,
        0.0628936,
        0.0598268,
        0.0550356,
        0.0571137,
        0.056338,
        0.0581616,
        0.0631414,
        0.0557111,
        0.0525748,
        0.0516451,
        0.051642,
        0.0574328,
        0.064812,
        0.0699979,
        0.0665855,
        0.0664702,
        0.0712574,
        0.0787472,
        0.0791695,
        0.0876112,
        0.0896171,
        0.0822761,
        0.0917876,
        0.093574,
        0.0882671,
        0.0756254,
        0.0719496,
        0.0745003,
        0.0757762,
        0.0634859,
        0.0579666,
        0.0571187,
        0.0589845,
        0.0570069,
        0.0558953,
        0.0554584,
        0.0555552,
        0.0550188,
        0.0578964,
        0.0625248,
        0.0678721,
        0.0607614,
        0.0581261,
        0.0581163,
        0.0577487,
        0.0556605,
        0.0546642,
        0.055572,
        0.0601252,
        0.0633271,
        0.0628513,
        0.0582773,
        0.0559597,
        0.0542827,
        0.0549266,
        0.0593489,
        0.0573527,
        0.0551901,
        0.0539502,
        0.0554869,
        0.0502597,
        0.0502275,
        0.0554988,
        0.0593105,
        0.0598519,
        0.0623812,
        0.0671666,
        0.0553345,
        0.0556596,
        0.0576178,
        0.0536522,
        0.0471229,
        0.0472157,
        0.0538682,
        0.0677588,
        0.0589511,
        0.0527647,
        0.0518608,
        0.0539737,
        0.051851,
        0.0517753,
        0.0556059,
        0.0579949,
        0.0544286,
        0.0514829,
        0.0540741,
        0.0580892,
        0.0597673,
        0.0602689,
        0.0613411,
        0.0597849,
        0.0586093,
        0.0583745,
        0.0599019,
        0.0658743,
        0.0647037,
        0.054027,
        0.056203,
        0.0553057,
        0.0542184,
        0.055062,
        0.0555198,
        0.0605376,
        0.0659726,
        0.0651518,
        0.0545932,
        0.0516806,
        0.0564517,
        0.0631338,
        0.0575939,
        0.0593632,
        0.0716647,
        0.0730379,
        0.0687682,
        0.0638301,
        0.0615069,
        0.0605173,
        0.0611375,
        0.0627354,
        0.0644218,
        0.0598865,
        0.0621587,
        0.0688204,
        0.0670409,
        0.0607584,
        0.0561835,
        0.0556743,
        0.0634198,
        0.0577988,
        0.0518521,
        0.053353,
        0.0539209,
        0.0524441,
        0.0522556,
        0.0578949,
        0.0580977,
        0.0593923,
        0.0593499,
        0.0493168,
        0.0544019,
        0.0580851,
        0.0567227,
        0.060358,
        0.0609419,
        0.0593152,
        0.0558452,
        0.0539633,
        0.0545808,
        0.056956,
        0.0603553,
        0.0544024,
        0.0527939,
        0.0546889,
        0.0551233,
        0.0601423,
        0.0635248,
        0.063872,
        0.0615704,
        0.0612498,
        0.0595082,
        0.0549413,
        0.0578609,
        0.0560929,
        0.0535931,
        0.0544475,
        0.0607375,
        0.0647524,
        0.0654427,
        0.0602666,
        0.0543966,
        0.0529386,
        0.0554927,
        0.0515878,
        0.0513889,
        0.0513554,
        0.0497395,
        0.0470293,
        0.0505583,
        0.0564395,
        0.0608563,
        0.0614896,
        0.0609499,
        0.0587603,
        0.0532911,
        0.0540897,
        0.0564129,
        0.0591678,
        0.0612283,
        0.0567532,
        0.0534384,
        0.0540523,
        0.0518354,
        0.058485,
        0.0659143,
        0.0672948,
        0.0686166,
        0.0708292,
        0.0708801,
        0.0628308,
        0.054341,
        0.0521792,
        0.0558654,
        0.0603452,
        0.0653868,
        0.0715826,
        0.0775311,
        0.0666253,
        0.067561,
        0.0676254,
        0.0577347,
        0.0623297,
        0.066182,
        0.0694494,
        0.0731028,
        0.0680416,
        0.066091,
        0.068737,
        0.0756359,
        0.0739181,
        0.0704424,
        0.0681195,
        0.0740849,
        0.0733356,
        0.070351,
        0.0680216,
        0.0696569,
        0.0665144,
        0.0625819,
        0.063789,
        0.0603959,
        0.0612537,
        0.0639488,
        0.058257,
        0.0627879,
        0.0661902,
        0.0659568,
        0.0662112,
        0.059659,
        0.0546042,
        0.0558947,
        0.0646534,
        0.0654624,
        0.0623371,
        0.0595949,
        0.0636709,
        0.0609909,
        0.0554697,
        0.0590678,
        0.0648164,
        0.0674415,
        0.0663285,
        0.0644491,
        0.0690202,
        0.0708569,
        0.0659035,
        0.0619287,
        0.0640892,
        0.0676528,
        0.0681916,
        0.0664727,
        0.0649003,
        0.0640671,
        0.0650922,
        0.0661897,
        0.0644563,
        0.0617405,
        0.0684055,
        0.0677606,
        0.0663144,
        0.0659909,
        0.0607365,
        0.0675854,
        0.0731419,
        0.0667722,
        0.0653975,
        0.0615333,
        0.0581142,
        0.0603535,
        0.0685781,
        0.069007,
        0.0648694,
        0.0732571,
        0.0705092,
        0.0666674,
        0.0645835,
        0.062892,
        0.0668253,
        0.073493,
        0.0811254,
        0.0678197,
        0.0613196,
        0.0619318,
        0.0710512,
        0.0701139,
        0.0682354,
        0.0698235,
        0.085568,
        0.0819899,
        0.0762492,
        0.0726836,
        0.0728143,
        0.0743785,
        0.0731849,
        0.067266,
        0.0690859,
        0.0733973,
        0.0739032,
        0.0631371,
        0.0735139,
        0.0795786,
        0.0807476,
        0.0784201,
        0.0788078,
        0.0802943,
        0.0808429,
        0.0715336,
        0.0641995,
        0.0663349,
        0.0803402,
        0.0841806,
        0.0817033,
        0.0767325,
        0.0723542,
        0.0759408,
        0.0757054,
        0.0761341,
        0.0864796,
        0.088952,
        0.0835595,
        0.074149,
        0.0754484,
        0.0821727,
        0.0827404,
        0.0764658,
        0.0818311,
        0.0827595,
        0.0848862,
        0.0900875,
        0.0899704,
        0.0859651,
        0.0757737,
        0.0750133,
        0.0764861,
        0.0837951,
        0.0829392,
        0.0884868,
        0.0937476,
        0.0951579,
        0.0933691,
        0.093648,
        0.0976326,
        0.106226,
        0.0995823,
        0.106081,
        0.11435,
        0.118877,
        0.117374,
        0.114579,
        0.122896,
        0.141557,
        0.152084,
        0.167195,
        0.180224,
        0.189968,
        0.223422,
        0.229198,
        0.257353,
        0.254342,
        null,
        0.27999,
        0.26944,
        0.242049,
        0.218135,
        0.188002,
        0.176518,
        0.164213,
        0.163116,
        0.163132,
        0.150264,
        0.145997,
        0.143607,
        0.122147,
        0.110797,
        0.114953,
        0.127336,
        0.127898,
        0.11686,
        0.112682,
        0.117278,
        0.10281,
        0.104439,
        0.103256,
        0.0932254,
        0.0963753,
        0.09789,
        0.0983536,
        0.0961906,
        0.0956246,
        0.0964539,
        0.102111,
        0.115292,
        0.104688,
        0.107882,
        0.11182,
        0.096068,
        0.0894895,
        0.0846664,
        0.0827773,
        0.0802755,
        0.080926,
        0.085957,
        0.0921187,
        0.0863469,
        0.0846021,
        0.082292,
        0.0789308,
        0.0752413,
        0.0769859,
        0.0776754,
        0.0735057,
        0.0708714,
        0.0700599,
        0.0706576,
        0.0741286,
        0.0680497,
        0.0690296,
        0.0717574,
        0.0687732,
        0.0725788,
        0.0714954,
        0.0713178,
        0.0757324,
        0.0702972,
        0.0684152,
        0.0686112,
        0.0590945,
        0.0698701,
        0.0693589,
        0.0619832,
        0.0580316,
        0.0579538,
        0.0605486,
        0.0614816,
        0.0655802,
        0.0619869,
        0.0609711,
        0.0617472,
        0.0581219,
        0.0599017,
        0.0607145,
        0.0626261,
        0.0638652,
        0.0631986,
        0.066289,
        0.0701359,
        0.0648081,
        0.0585864,
        0.0567906,
        0.0584675,
        0.0614572,
        0.0652397,
        0.0634815,
        0.0638436,
        0.0626211,
        0.0598407,
        0.0581985,
        0.0604897,
        0.0631171,
        0.0585141,
        0.0540512,
        0.0596426,
        0.0582976,
        0.0584519,
        0.0648785,
        0.062125,
        0.0576409,
        0.0539989,
        0.0553771,
        0.0584264,
        0.0555346,
        0.0556338,
        0.0578904,
        0.0523379,
        0.0565579,
        0.0563729,
        0.0534653,
        0.0566188,
        0.058925,
        0.0584344,
        0.0528734,
        0.0533252,
        0.0540357,
        0.057695,
        0.059844,
        0.0582827,
        0.0546967,
        0.0553856,
        0.0587146,
        0.0587823,
        0.0597176,
        0.0573722,
        0.0499667,
        0.0630315,
        0.06198,
        0.0593569,
        0.0614139,
        0.0631669,
        0.0602762,
        0.0586653,
        0.0596062,
        0.0573062,
        0.0560906,
        0.0580364,
        0.0559086,
        0.0569413,
        0.0575483,
        0.0570735,
        0.0535253,
        0.0552062,
        0.0579491,
        0.0619422,
        0.0632815,
        0.0581049,
        0.054198,
        0.0511886,
        0.0527809,
        0.0568142,
        0.0596283,
        0.0609594,
        0.0548324,
        0.0526996,
        0.0500683,
        0.0480459,
        0.0486678,
        0.0531026,
        0.0580004,
        0.0601874,
        0.058925,
        0.0558494,
        0.0534788,
        0.0509898,
        0.059617,
        0.0569154,
        0.0504051,
        0.0525656,
        0.0565253,
        0.057719,
        0.0580691,
        0.0611133,
        0.0573044,
        0.0563633,
        0.0570542,
        0.0557256,
        0.0556767,
        0.0571586,
        0.0585215,
        0.0511465,
        0.0535762,
        0.0555375,
        0.0546304,
        0.0568255,
        0.0510103,
        0.0501738,
        0.0584808,
        0.0637681,
        0.0592195,
        0.0548933,
        0.0590102,
        0.0587774,
        0.0594034,
        0.0590132,
        0.0541239,
        0.047273,
        0.0487587,
        0.0500276,
        0.0492064,
        0.0514923,
        0.0535698,
        0.0546942,
        0.053743,
        0.0568652,
        0.0557162,
        0.0507785,
        0.0453788,
        0.0512755,
        0.059771,
        0.0658529,
        0.0579065,
        0.060938,
        0.0639414,
        0.0668082,
        0.069637,
        0.0719222,
        0.0720829,
        0.0639881,
        0.0560318,
        0.0556799,
        0.0591089,
        0.0626888,
        0.0620519,
        0.0575032,
        0.0586412,
        0.0625548,
        0.0592174,
        0.0578154,
        0.0571306,
        0.0570819,
        0.0617111,
        0.0631787,
        0.0621272,
        0.0623976,
        0.0648845,
        0.0634741,
        0.0548535,
        0.0548278,
        0.0556862,
        0.0555568,
        0.0534744,
        0.0550751,
        0.0556378,
        0.060946,
        0.060723,
        0.0555358,
        0.0566635,
        0.0614098,
        0.0575027,
        0.0531022,
        0.0591221,
        0.0596536,
        0.0554044,
        0.0527963,
        0.0506311,
        0.0500693,
        0.0511772,
        0.0489406,
        0.0523615,
        0.0516431,
        0.0495568,
        0.0517886,
        0.057575,
        0.0603509,
        0.0509369,
        0.0586727,
        0.0629627,
        0.0559074,
        0.0552794,
        0.0562736,
        0.0565055,
        0.0526149,
        0.0584309,
        0.0588537,
        0.0599715,
        0.0599681,
        0.0578497,
        0.0581859,
        0.0588084,
        0.0598762,
        0.0605277,
        0.0585567,
        0.0578153,
        0.0563154,
        0.0568678,
        0.0578309,
        0.0625447,
        0.0617149,
        0.0560791,
        0.0545866,
        0.0567343,
        0.0629724,
        0.0632866,
        0.0597686,
        0.0591433,
        0.0649471,
        0.0664574,
        0.0660445,
        0.0644654,
        0.0574844,
        0.0614863,
        0.0635389,
        0.0620753,
        0.0630718,
        0.0634943,
        0.0673492,
        0.0667863,
        0.062655,
        0.0608448,
        0.0657066,
        0.0743315,
        0.0769051,
        0.0737507,
        0.0712087,
        0.0706083,
        0.0637263,
        0.0660422,
        0.0733113,
        0.0806614,
        0.0794344,
        0.0737073,
        0.068593,
        0.068727,
        0.0737912,
        0.0723942,
        0.0713379,
        0.0707832,
        0.075535,
        0.0741154,
        0.0723392,
        0.0740791,
        0.0761344,
        0.0753921,
        0.0749514,
        0.0781608,
        0.0800352,
        0.0804428,
        0.0797958,
        0.0791128,
        0.0796355,
        0.0790183,
        0.0819768,
        0.0900366,
        0.0912749,
        0.0893987,
        0.0888736,
        0.0966368,
        0.0959107,
        0.097578,
        0.105617,
        0.104516,
        0.103887,
        0.10601,
        0.104455,
        0.110527,
        0.11455,
        0.114209,
        0.107318,
        0.111199,
        0.125654,
        0.13821,
        0.136356,
        0.137156,
        0.14484,
        0.157939,
        0.161769,
        0.152394,
        0.160142,
        0.187428,
        0.205993,
        0.216172,
        0.228065,
        0.243416,
        0.252668,
        0.207171,
        null,
        0.282812,
        0.266335,
        0.258555,
        0.188918,
        0.209916,
        0.204649,
        0.181252,
        0.160422,
        0.161545,
        0.154111,
        0.145078,
        0.160746,
        0.143825,
        0.123438,
        0.107897,
        0.111994,
        0.106755,
        0.100595,
        0.0964455,
        0.0959655,
        0.0956672,
        0.0935521,
        0.0893791,
        0.0960498,
        0.0913592,
        0.0907807,
        0.105676,
        0.103025,
        0.0865111,
        0.0751008,
        0.0931132,
        0.0840837,
        0.085747,
        0.0884173,
        0.0704454,
        0.0707625,
        0.0743138,
        0.0791072,
        0.0851791,
        0.0872244,
        0.0833653,
        0.0750469,
        0.0714335,
        0.0638369,
        0.0626802,
        0.070074,
        0.0693329,
        0.0612073,
        0.0586968,
        0.0677408,
        0.0619624,
        0.0583549,
        0.0599138,
        0.0695095,
        0.0680867,
        0.0690956,
        0.0678407,
        0.0572271,
        0.0620551,
        0.0596347,
        0.0524117,
        0.0481921,
        0.057662,
        0.0633375,
        0.0626083,
        0.0556293,
        0.0605903,
        0.0664434,
        0.0689621,
        0.060363,
        0.0613228,
        0.0628688,
        0.0616518,
        0.058858,
        0.0604244,
        0.0651856,
        0.0724029,
        0.072757,
        0.0739532,
        0.0732683,
        0.0674668,
        0.0678118,
        0.0670436,
        0.0658125,
        0.0655938,
        0.0632854,
        0.0613338,
        0.0614403,
        0.0675815,
        0.0658284,
        0.0629043,
        0.0602158,
        0.057776,
        0.0570064,
        0.0574665,
        0.0589927,
        0.0610516,
        0.0577035,
        0.0553027,
        0.0569607,
        0.0563574,
        0.0582001,
        0.0592439,
        0.0568923,
        0.0569515,
        0.0569072,
        0.0575949,
        0.0601858,
        0.0581455,
        0.0554182,
        0.0534136,
        0.0545308,
        0.0537359,
        0.0554286,
        0.0583234,
        0.055764,
        0.0614227,
        0.0613076,
        0.0542081,
        0.0546364,
        0.0538509,
        0.0553876,
        0.0598303,
        0.0550148,
        0.0543313,
        0.0564171,
        0.0604934,
        0.0594977,
        0.0584125,
        0.057464,
        0.0569044,
        0.058999,
        0.0579163,
        0.0555733,
        0.0558598,
        0.0561059,
        0.058094,
        0.057958,
        0.0441438,
        0.0485894,
        0.0535532,
        0.0540961,
        0.045561,
        0.0510003,
        0.0564164,
        0.05612,
        0.0477891,
        0.0486315,
        0.0533375,
        0.0587694,
        0.0492616,
        0.0528186,
        0.0569492,
        0.049566,
        0.051624,
        0.0535998,
        0.0550446,
        0.0554183,
        0.0560899,
        0.0555546,
        0.0540086,
        0.0522122,
        0.0542986,
        0.0541791,
        0.0529138,
        0.0598875,
        0.0608633,
        0.0610017,
        0.0614719,
        0.0583574,
        0.0558263,
        0.0563011,
        0.0607836,
        0.054879,
        0.0548715,
        0.0582577,
        0.0629702,
        0.0602685,
        0.057044,
        0.0534452,
        0.0495522,
        0.0579242,
        0.0585062,
        0.0533094,
        0.0513022,
        0.0483395,
        0.0473317,
        0.0499133,
        0.0602902,
        0.0581616,
        0.0551449,
        0.0554087,
        0.0628839,
        0.0627008,
        0.0607648,
        0.0601424,
        0.0612168,
        0.0575674,
        0.0519633,
        0.0467323,
        0.0493732,
        0.0541181,
        0.0593179,
        0.0626622,
        0.0563635,
        0.0561213,
        0.0573066,
        0.047225,
        0.0506083,
        0.0554421,
        0.0585905,
        0.0560991,
        0.0552274,
        0.0556355,
        0.0567759,
        0.0555515,
        0.0570265,
        0.0555831,
        0.0489273,
        0.0495188,
        0.0491865,
        0.0487466,
        0.0488951,
        0.0529055,
        0.055145,
        0.0582276,
        0.0660947,
        0.0589568,
        0.0546909,
        0.0551304,
        0.0611777,
        0.0570204,
        0.0528437,
        0.0502911,
        0.0484677,
        0.0526971,
        0.0566752,
        0.0580614,
        0.0551518,
        0.0576114,
        0.0603019,
        0.0603562,
        0.0574245,
        0.0551167,
        0.054178,
        0.0554779,
        0.05896,
        0.0628599,
        0.0653446,
        0.0633097,
        0.0599359,
        0.0610085,
        0.0632168,
        0.0564828,
        0.0556711,
        0.0552578,
        0.0556068,
        0.0633571,
        0.0651567,
        0.0635196,
        0.0596849,
        0.0586686,
        0.0593849,
        0.0623128,
        0.0676757,
        0.068461,
        0.0684057,
        0.0658433,
        0.058926,
        0.0589793,
        0.0645529,
        0.0738141,
        0.0844998,
        0.0871932,
        0.0956809,
        0.105021,
        0.098072,
        0.0953606,
        0.0964721,
        0.0985533,
        0.0888822,
        0.0924285,
        0.0927429,
        0.0841889,
        0.0803042,
        0.0721385,
        0.0682145,
        0.0743246,
        0.0713142,
        0.070526,
        0.072452,
        0.078036,
        0.0768825,
        0.0771769,
        0.0792141,
        0.0831985,
        0.0718015,
        0.0635443,
        0.0617891,
        0.0711233,
        0.0723828,
        0.0712807,
        0.0692656,
        0.0654665,
        0.0682013,
        0.0685828,
        0.0635047,
        0.0672231,
        0.0628937,
        0.0598384,
        0.0650896,
        0.0637385,
        0.0691436,
        0.0732253,
        0.0654354,
        0.0725969,
        0.0728493,
        0.0659015,
        0.0533674,
        0.0588905,
        0.0662133,
        0.0718893,
        0.0722457,
        0.078626,
        0.0804528,
        0.0759801,
        0.0767525,
        0.0775262,
        0.0747383,
        0.0668138,
        0.0655392,
        0.0701737,
        0.0775367,
        0.0847476,
        0.0757246,
        0.074303,
        0.075504,
        0.0700677,
        0.0749128,
        0.0789983,
        0.0819174,
        0.085618,
        0.0914079,
        0.0886372,
        0.0788037,
        0.08126,
        0.0834959,
        0.086316,
        0.0896751,
        0.0892895,
        0.0941933,
        0.0964454,
        0.0909,
        0.0978133,
        0.089339,
        0.0816912,
        0.0956604,
        0.0973718,
        0.0992471,
        0.140785,
        0.133354,
        0.143821,
        0.155919,
        0.161322,
        0.142119,
        0.12375,
        0.11698,
        0.12283,
        0.121153,
        0.121149,
        0.119272,
        0.102419,
        0.106791,
        0.10888,
        0.120939,
        0.128756,
        0.12973,
        0.131732,
        0.114972,
        0.118914,
        0.112558,
        0.121463,
        0.15697,
        0.146293,
        0.13893,
        0.138384,
        0.136629,
        0.15343,
        0.154259,
        0.150379,
        0.146753,
        0.147799,
        0.134443,
        0.130072,
        0.13875,
        0.15128,
        0.158557,
        0.155907,
        0.15255,
        0.159342,
        0.157939,
        0.159003,
        0.166899,
        0.169075,
        0.169669,
        0.173053,
        0.17665,
        0.17777,
        0.188994,
        0.209083,
        0.218095,
        0.232214,
        0.227873,
        0.269505,
        0.282965,
        0.294832,
        0.310948,
        0.316137,
        0.258809,
        0.275981,
        0.303982,
        null,
        0.364986,
        0.340028,
        0.348864,
        0.342347,
        0.272917,
        0.264936,
        0.273398,
        0.269728,
        0.266493,
        0.308113,
        0.297558,
        0.310629,
        0.311552,
        0.265917,
        0.26952,
        0.283418,
        0.276248,
        0.337241,
        0.39644,
        0.356441,
        0.324085,
        0.313797,
        0.281834,
        0.283518,
        0.30035,
        0.315576,
        0.308617,
        0.288364,
        0.26962,
        0.268178,
        0.287731,
        0.269982,
        0.274795,
        0.270057,
        0.378,
        0.411686,
        null,
        0.320185,
        0.317383,
        0.325927,
        0.299687,
        0.276375,
        0.272557,
        0.284634,
        0.263418,
        0.270953,
        0.284269,
        0.222589,
        0.262379,
        0.261279,
        0.235101,
        0.216165,
        0.237324,
        0.228981,
        0.217158,
        0.214616,
        0.203982,
        0.196244,
        0.185287,
        0.171822,
        0.162788,
        0.187206,
        0.199985,
        0.194787,
        0.170866,
        0.155491,
        0.148857,
        0.159965,
        0.188362,
        0.176046,
        0.154869,
        0.147454,
        0.153695,
        0.142267,
        0.139892,
        0.148206,
        0.156673,
        0.147423,
        0.149066,
        0.147331,
        0.155177,
        0.179595,
        0.151664,
        0.138993,
        0.129931,
        0.121694,
        0.125194,
        0.123042,
        0.116515,
        0.109472,
        0.109441,
        0.108107,
        0.118572,
        0.129497,
        0.128149,
        0.130085,
        0.128723,
        0.130274,
        0.134375,
        0.118225,
        0.118312,
        0.121021,
        0.12301,
        0.126038,
        0.133295,
        0.123594,
        0.107127,
        0.100097,
        0.100308,
        0.0982666,
        0.101229,
        0.111252,
        0.102363,
        0.109428,
        0.109116,
        0.10076,
        0.108804,
        0.110716,
        0.0970902,
        0.0821668,
        0.0912135,
        0.100646,
        0.106307,
        0.10763,
        0.105012,
        0.106804,
        0.107429,
        0.109648,
        0.109704,
        0.0848851,
        0.0950722,
        0.0980267,
        0.0936517,
        0.100359,
        0.0955344,
        0.0936872,
        0.0928941,
        0.0903433,
        0.0954248,
        0.0964719,
        0.0956883,
        0.0934555,
        0.0840314,
        0.0832716,
        0.0919316,
        0.103202,
        0.0987492,
        0.0787666,
        0.0827022,
        0.0897722,
        0.0659431,
        0.0865977,
        0.093043,
        0.0927822,
        0.0913871,
        0.0884405,
        0.0901618,
        0.0971369,
        0.105085,
        0.0988625,
        0.102843,
        0.101853,
        0.0945551,
        0.0829353,
        0.0869741,
        0.0947301,
        0.100562,
        0.100339,
        0.0993613,
        0.094686,
        0.086066,
        0.0752965,
        0.0707559,
        0.0750198,
        0.0839958,
        0.0937096,
        0.0971556,
        0.0797026,
        0.0717237,
        0.0697379,
        0.067771,
        0.0755362,
        0.0786852,
        0.0836148,
        0.0911675,
        0.0832093,
        0.073983,
        0.077293,
        0.0872792,
        0.0759118,
        0.0924212,
        0.091067,
        0.0801089,
        0.0776267,
        0.0830404,
        0.0795115,
        0.0807307,
        0.0933075,
        0.0847733,
        0.0867932,
        0.0860846,
        0.082939,
        0.0963276,
        0.0883779,
        0.0774286,
        0.0768293,
        0.103438,
        0.0948036,
        0.0947571,
        0.0948639,
        0.086865,
        0.088266,
        0.0966993,
        0.10621,
        0.108309,
        0.0753593,
        0.0816737,
        0.0813769,
        0.0733059,
        0.0767866,
        0.0797913,
        0.0855174,
        0.0866537,
        0.0754167,
        0.076744,
        0.0716,
        0.0693829,
        0.075033,
        0.0818619,
        0.0759123,
        0.0745685,
        0.0791118,
        0.0773402,
        0.0769073,
        0.143106,
        0.114097,
        0.0845758,
        0.0881867,
        0.0876541,
        0.0838983,
        0.0819911,
        0.09412,
        0.0964467,
        0.0869458,
        0.0768914,
        0.079704,
        0.0753623,
        0.0714609,
        0.074261,
        0.0857769,
        0.0899924,
        0.0736638,
        0.0702353,
        0.0810497,
        0.0729465,
        0.0762522,
        0.0844051,
        0.0870684,
        0.0689253,
        0.0753516,
        0.0671665,
        0.058348,
        0.0611909,
        0.074055,
        0.0817706,
        0.0815406,
        0.0767005,
        0.0863438,
        0.0808433,
        0.0725829,
        0.0670621,
        0.0706817,
        0.0596917,
        0.0665483,
        0.0748515,
        0.0645725,
        0.0614808,
        0.0670223,
        0.0704566,
        0.0687911,
        0.0813097,
        0.0714529,
        0.0678876,
        0.0732478,
        0.072039,
        0.0637309,
        0.059372,
        0.0632453,
        0.0789923,
        0.0876184,
        0.0812406,
        0.0727548,
        0.0721569,
        0.0760661,
        0.0759261,
        0.0670109,
        0.0558097,
        0.0728029,
        0.0744828,
        0.0748011,
        0.0717589,
        0.0570774,
        0.0618613,
        0.0566077,
        0.0561351,
        0.0735521,
        0.07112,
        0.0819601,
        0.0909565,
        0.0908732,
        0.0853058,
        0.0640322,
        0.0623648,
        0.0748134,
        0.0652936,
        0.0555532,
        0.053479,
        0.0579922,
        0.0667062,
        0.0614872,
        0.0648581,
        0.0692493,
        0.0709908,
        0.0829514,
        0.0849743,
        0.0789607,
        0.0703339,
        0.0740245,
        0.0868536,
        0.0887936,
        0.0821743,
        0.075984,
        0.0714771,
        0.0768263,
        0.0807663,
        0.0738944,
        0.068203,
        0.0653301,
        0.0648679,
        0.0668618,
        0.0721356,
        0.079039,
        0.0759034,
        0.0663953,
        0.0649163,
        0.0696751,
        0.0616056,
        0.0547771,
        0.0653856,
        0.0718677,
        0.0703105,
        0.0672355,
        0.0686869,
        0.0894557,
        0.084153,
        0.0794412,
        0.0814983,
        0.0840287,
        0.0823348,
        0.0711967,
        0.0622909,
        0.0738826,
        0.0666561,
        0.0712853,
        0.0760505,
        0.0732232,
        0.0898146,
        0.0837422,
        0.0726811,
        0.0637707,
        0.0570347,
        0.0670426,
        0.0738719,
        0.0766255,
        0.0809526,
        0.0789622,
        0.0820025,
        0.0788225,
        0.0592105,
        0.0586343,
        0.0644847,
        0.0713835,
        0.107868,
        0.117034,
        0.121988,
        0.107897,
        0.0835338,
        0.0785742,
        0.0677806,
        0.0566054,
        0.0687892,
        0.0809644,
        0.0729094,
        0.0642009,
        0.0574547,
        0.0672084,
        0.0720999,
        0.0702671,
        0.0598145,
        0.0720836,
        0.0708145,
        0.0633782,
        0.0578131,
        0.0618234,
        0.0718557,
        0.0656635,
        0.0640595,
        0.079825,
        0.0802619,
        0.0754411,
        0.0733501,
        0.0705913,
        0.0648838,
        0.063842,
        0.0630983,
        0.068221,
        0.0659805,
        0.0618038,
        0.0629162,
        0.0617572,
        0.0644642,
        0.0655277,
        0.064602,
        0.0701703,
        0.0731478,
        0.0641467,
        0.0605359,
        0.0658719,
        0.065343,
        0.0704965,
        0.0656169,
        0.0685436,
        0.0676563,
        0.0616075,
        0.0692617,
        0.0570642,
        0.0492757,
        0.0589746,
        0.062828,
        0.06228,
        0.0596817,
        0.0578054,
        0.0527338,
        0.0540954,
        0.0540015,
        0.0484772,
        0.0476323,
        0.0552194,
        0.057788,
        0.0576375,
        0.0542172,
        0.0511791,
        0.0527704,
        0.0561007,
        0.0535672,
        0.0524569,
        0.0584653,
        0.0603116,
        0.0558731,
        0.0515683,
        0.0544436,
        0.0550922,
        0.0530304,
        0.0569105,
        0.0570661,
        0.0554408,
        0.055857,
        0.0599444,
        0.0659539,
        0.0572314,
        0.053409,
        0.0572863,
        0.0566196,
        0.0583237,
        0.0537203,
        0.0495649,
        0.0562095,
        0.0566816,
        0.0579407,
        0.0587998,
        0.0545706,
        0.0572548,
        0.053562,
        0.050269,
        0.0499501,
        0.0524851,
        0.0627344,
        0.0632885,
        0.0558099,
        0.0626196,
        0.0601014,
        0.0604007,
        0.0607157,
        0.0581901,
        0.0597993,
        0.0575367,
        0.0568997,
        0.0597839,
        0.0556602,
        0.0600471,
        0.060398,
        0.0556517,
        0.0555054,
        0.0588329,
        0.0606148,
        0.0587141,
        0.0548603,
        0.0573199,
        0.0587244,
        0.0584235,
        0.0559484,
        0.0580433,
        0.055114,
        0.0512738,
        0.0513422,
        0.0523337,
        0.0567827,
        0.057803,
        0.0537497,
        0.0499298,
        0.0522926,
        0.0584264,
        0.0620013,
        0.058114,
        0.0599591,
        0.0616347,
        0.0626481,
        0.0576355,
        0.0601808,
        0.060787,
        0.0552061,
        0.0505199,
        0.0576395,
        0.0590687,
        0.0567566,
        0.0537717,
        0.0555599,
        0.0556363,
        0.0553561,
        0.0614938,
        0.0692168,
        0.0583717,
        0.0512279,
        0.0533536,
        0.0599946,
        0.0523723,
        0.0557923,
        0.0566244,
        0.0545014,
        0.04984,
        0.0526875,
        0.0558604,
        0.0594168,
        0.0619927,
        0.0574997,
        0.0604937,
        0.063899,
        0.0640938,
        0.0613723,
        0.0538025,
        0.0552498,
        0.0589406,
        0.0623027,
        0.0607723,
        0.0620774,
        0.0603804,
        0.0548394,
        0.0601396,
        0.0593783,
        0.0573654,
        0.0587846,
        0.058868,
        0.0568292,
        0.0566894,
        0.055561,
        0.050833,
        0.0582746,
        0.0540318,
        0.0510938,
        0.0561726,
        0.0626434,
        0.0560775,
        0.0552967,
        0.0575785,
        0.0566264,
        0.0565944,
        0.0592149,
        0.061121,
        0.0613798,
        0.0610338,
        0.0625653,
        0.0618282,
        0.0560679,
        0.0520674,
        0.0583987,
        0.0622075,
        0.0617034,
        0.0561669,
        0.0619291,
        0.0685781,
        0.0659561,
        0.050291,
        0.0535082,
        0.0595415,
        0.0629941,
        0.0647667,
        0.0615274,
        0.0594198,
        0.0577032,
        0.0576653,
        0.061678,
        0.0619198,
        0.0638072,
        0.063801,
        0.055724,
        0.0540647,
        0.0545338,
        0.0557582,
        0.0602605,
        0.0642994,
        0.0610185,
        0.0586436,
        0.059442,
        0.0578637,
        0.0584882,
        0.0563373,
        0.0547387,
        0.0543492,
        0.0592073,
        0.0594075,
        0.0588362,
        0.0588294,
        0.0537651,
        0.0550731,
        0.0556467,
        0.0554769,
        0.0554434,
        0.0553771,
        0.0532825,
        0.0514557,
        0.0564784,
        0.0517183,
        0.0557555,
        0.0620883,
        0.0618589,
        0.0571624,
        0.0573499,
        0.0575044,
        0.0592837,
        0.0632787,
        0.0571087,
        0.0532951,
        0.0560812,
        0.0681453,
        0.0705914,
        0.0712614,
        0.0718826,
        0.0698927,
        0.0731869,
        0.064711,
        0.0621472,
        0.0643225,
        0.0626677,
        0.0617498,
        0.0604936,
        0.0585851,
        0.0567023,
        0.0562764,
        0.057574,
        0.0576767,
        0.0540138,
        0.0563159,
        0.0585452,
        0.0578339,
        0.0549979,
        0.0571903,
        0.0528261,
        0.0539415,
        0.0543228,
        0.0477986,
        0.0349856,
        0.0440754,
        0.0500944,
        0.0442791,
        0.0433301,
        0.0425147,
        0.0410259,
        0.0401627,
        0.043747,
        0.0476337,
        0.0514507,
        0.052947,
        0.0497985,
        0.0510218,
        0.0450544,
        0.048375,
        0.0519651,
        0.0570068,
        0.0579271,
        0.0599812,
        0.0586947,
        0.0577982,
        0.0532486,
        0.0513218,
        0.0519252,
        0.0533106,
        0.0584744,
        0.0584179,
        0.0597343,
        0.0583735,
        0.0590611,
        0.055887,
        0.055411,
        0.0580723,
        0.0598432,
        0.0539642,
        0.0574726,
        0.0629907,
        0.0556512,
        0.0595389,
        0.0661632,
        0.0687658,
        0.0640946,
        0.0672214,
        0.0636869,
        0.0574942,
        0.0549089,
        0.0580814,
        0.0656306,
        0.0660227,
        0.0621883,
        0.0633058,
        0.0591986,
        0.0625143,
        0.0683791,
        0.0656654,
        0.0555535,
        0.0571293,
        0.0614936,
        0.0643394,
        0.0606972,
        0.0612672,
        0.0586282,
        0.0566818,
        0.0630501,
        0.05631,
        0.0559059,
        0.0580178,
        0.0598557,
        0.0562136,
        0.0605514,
        0.0648228,
        0.0628119,
        0.0660923,
        0.0736888,
        0.0735935,
        0.0612141,
        0.0580706,
        0.0568563,
        0.0574049,
        0.0643541,
        0.0654226,
        0.0718142,
        0.0672486,
        0.0660291,
        0.0716334,
        0.0624468,
        0.060243,
        0.0609433,
        0.0629131,
        0.0723214,
        0.0640144,
        0.0629181,
        0.064277,
        0.0686339,
        0.0617673,
        0.0628839,
        0.0727099,
        0.0715985,
        0.0688109,
        0.070274,
        0.0710891,
        0.0699495,
        0.0647903,
        0.0678388,
        0.0605386,
        0.0605674,
        0.0617138,
        0.06439,
        0.0669783,
        0.0712755,
        0.0748547,
        0.0706194,
        0.0717702,
        0.0789454,
        0.0792339,
        0.0787862,
        0.0819442,
        0.0837558,
        0.0863894,
        0.0846931,
        0.0675693,
        0.0799297,
        0.0861034,
        0.0852595,
        0.0866982,
        0.0864806,
        0.106354,
        0.11787,
        0.120787,
        0.116823,
        0.121552,
        0.112187,
        0.107303,
        0.120666,
        0.120247,
        0.132881,
        0.149062,
        0.159958,
        0.160623,
        0.162227,
        0.172314,
        0.183433,
        0.174835,
        0.194222,
        0.214884,
        0.220776,
        0.225585,
        0.25902,
        0.30631,
        0.367313,
        0.41929,
        0.441706,
        null,
        0.468035,
        0.393234,
        0.357402,
        0.243425,
        0.20629,
        0.21802,
        0.199272,
        0.177653,
        0.166434,
        0.164905,
        0.155785,
        0.153055,
        0.152995,
        0.136848,
        0.136964,
        0.133945,
        0.128437,
        0.127743,
        0.107525,
        0.10582,
        0.107422,
        0.105956,
        0.106056,
        0.104395,
        0.0936294,
        0.0838609,
        0.0964668,
        0.0755318,
        0.0731494,
        0.0793745,
        0.0829199,
        0.0878787,
        0.0822934,
        0.0781484,
        0.0802888,
        0.0889901,
        0.0767554,
        0.0722343,
        0.0727471,
        0.0678389,
        0.0874328,
        0.0942549,
        0.085098,
        0.0640244,
        0.0758826,
        0.0707812,
        0.0711252,
        0.0771729,
        0.0680268,
        0.0621121,
        0.0576458,
        0.0555546,
        0.0571082,
        0.0672597,
        0.0720677,
        0.0670292,
        0.0534261,
        0.0578158,
        0.0547399,
        0.0512226,
        0.051842,
        0.063073,
        0.0576487,
        0.0566555,
        0.0562995,
        0.0519225,
        0.0643534,
        0.0619078,
        0.0606119,
        0.0659784,
        0.0660532,
        0.0622837,
        0.0561856,
        0.0550852,
        0.0709959,
        0.0676121,
        0.0604728,
        0.0539352,
        0.0516616,
        0.0572084,
        0.053909,
        0.0475029,
        0.0441905,
        0.0582677,
        0.065782,
        0.0631813,
        0.0550167,
        0.0495385,
        0.0604504,
        0.0610882,
        0.0642846,
        0.076282,
        0.0723983,
        0.0684994,
        0.0641341,
        0.0614319,
        0.0662327,
        0.0623726,
        0.0685648,
        0.0711175,
        0.0532967,
        0.0645911,
        0.0616072,
        0.0617643,
        0.0716938,
        0.0749729,
        0.075983,
        0.0744018,
        0.0727955,
        0.0765978,
        0.0729257,
        0.0771867,
        0.0806739,
        0.0757549,
        0.0850789,
        0.0942065,
        0.0930422,
        0.082943,
        0.0872446,
        0.105094,
        0.113719,
        0.118701,
        0.135596,
        0.125172,
        0.129033,
        0.139421,
        0.148443,
        0.148229,
        0.180775,
        0.191035,
        0.177253,
        0.18962,
        0.1609,
        0.146813,
        0.156346,
        0.1898,
        0.203275,
        0.190444,
        0.17431,
        0.175972,
        0.23804,
        null,
        0.209202,
        0.208099,
        0.19382,
        0.178701,
        0.199306,
        0.180006,
        0.145763,
        0.128852,
        0.150907,
        0.131691,
        0.128947,
        0.122883,
        0.111097,
        0.114262,
        0.114759,
        0.110535,
        0.103116,
        0.095414,
        0.0971201,
        0.0860971,
        0.0811421,
        0.0894079,
        0.0708617,
        0.0796771,
        0.0902382,
        0.0952043,
        0.0955393,
        0.0772511,
        0.0685551,
        0.0681376,
        0.0705646,
        0.0648226,
        0.0631141,
        0.0712363,
        0.0859112,
        0.080939,
        0.0628371,
        0.0597537,
        0.0675412,
        0.0681204,
        0.0590596,
        0.0562148,
        0.0599558,
        0.0683031,
        0.0656969,
        0.0587453,
        0.0558078,
        0.0584641,
        0.0619817,
        0.0613896,
        0.0588617,
        0.0577119,
        0.0614875,
        0.0534375,
        0.0531602,
        0.056255,
        0.0599508,
        0.0647123,
        0.0687515,
        0.0671679,
        0.0633601,
        0.0671633,
        0.0576327,
        0.0539544,
        0.05513,
        0.0587781,
        0.0565536,
        0.0555174,
        0.0524238,
        0.0476167,
        0.0473931,
        0.0480978,
        0.0465274,
        0.0450647,
        0.0477376,
        0.0591342,
        0.0545326,
        0.0507024,
        0.0558255,
        0.0518249,
        0.0557417,
        0.0571735,
        0.0547167,
        0.0518186,
        0.0452227,
        0.0449058,
        0.0496706,
        0.0569186,
        0.0616242,
        0.0563254,
        0.0516053,
        0.0500077,
        0.0416312,
        0.0409656,
        0.0433377,
        0.0488526,
        0.0588025,
        0.0651095,
        0.0663951,
        0.0587203,
        0.0431497,
        0.0482393,
        0.0457597,
        0.0440726,
        0.046468,
        0.0550195,
        0.0521513,
        0.0536108,
        0.0570891,
        0.0585594,
        0.057656,
        0.0516776,
        0.0499618,
        0.0535131,
        0.0473281,
        0.0491963,
        0.0503607,
        0.0495287,
        0.0475263,
        0.0525799,
        0.0528926,
        0.0515114,
        0.0515924,
        0.0559038,
        0.0501928,
        0.0497469,
        0.0557377,
        0.0566753,
        0.0489572,
        0.0492956,
        0.052814,
        0.0516165,
        0.0507444,
        0.0497217,
        0.0463911,
        0.0415001,
        0.0444687,
        0.0440382,
        0.0466481,
        0.0506208,
        0.0506245,
        0.0484588,
        0.043051,
        0.0410882,
        0.0461346,
        0.0423136,
        0.0473012,
        0.0504341,
        0.0500866,
        0.052688,
        0.0610736,
        0.0525288,
        0.0414232,
        0.0485456,
        0.0457444,
        0.0445353,
        0.046523,
        0.0514112,
        0.0531716,
        0.04598,
        0.0459726,
        0.0489456,
        0.0411132,
        0.0439275,
        0.0445849,
        0.0467801,
        0.0523722,
        0.0461231,
        0.0418176,
        0.0392138,
        0.0393503,
        0.0454242,
        0.0465381,
        0.0452275,
        0.0440853,
        0.0457943,
        0.0428188,
        0.0402887,
        0.0432773,
        0.0515465,
        0.049182,
        0.0454791,
        0.0436169,
        0.0422845,
        0.0377757,
        0.039681,
        0.0400891,
        0.0431494,
        0.0506991,
        0.0471478,
        0.0462757,
        0.0421138,
        0.0363813,
        0.0405362,
        0.0492241,
        0.0450289,
        0.0375998,
        0.0415906,
        0.0435484,
        0.0438366,
        0.0450533,
        0.0485979,
        0.0549155,
        0.05052,
        0.0473005,
        0.0476363,
        0.0509701,
        0.0463153,
        0.0471624,
        0.0479715,
        0.0455142,
        0.0573805,
        0.0622455,
        0.0627782,
        0.06221,
        0.0677558,
        0.0856834,
        0.106858,
        0.130945,
        0.15857,
        0.194372,
        0.237065,
        0.249683,
        0.220777,
        0.185535,
        0.170947,
        0.158791,
        0.137991,
        0.0961242,
        0.111403,
        0.102838,
        0.0869248,
        0.077602,
        0.0727391,
        0.0692786,
        0.0645921,
        0.0592378,
        0.0567575,
        0.0564836,
        0.0598383,
        0.0583126,
        0.0439736,
        0.0519387,
        0.0483489,
        0.0460541,
        0.0490604,
        0.0477043,
        0.0481209,
        0.046904,
        0.0451779,
        0.0456061,
        0.046165,
        0.0486965,
        0.0495088,
        0.0470632,
        0.0498799,
        0.0445269,
        0.0466544,
        0.0541346,
        0.0500155,
        0.0503158,
        0.0524697,
        0.0522384,
        0.0464696,
        0.0467812,
        0.0452984,
        0.045434,
        0.048084,
        0.0506807,
        0.0432962,
        0.0442077,
        0.050339,
        0.052435,
        0.0539587,
        0.0484801,
        0.0461251,
        0.0512087,
        0.0513256,
        0.0469799,
        0.0464476,
        0.0513293,
        0.0600455,
        0.0581187,
        0.0503901,
        0.0453954,
        0.0497729,
        0.050946,
        0.041351,
        0.0385433,
        0.0454586,
        0.0496604,
        0.0491019,
        0.0459004,
        0.0453852,
        0.0537073,
        0.0484921,
        0.0420894,
        0.0392625,
        0.0416435,
        0.0451201,
        0.0404952,
        0.0415204,
        0.0479608,
        0.0533765,
        0.0463677,
        0.0437617,
        0.0423593,
        0.0400761,
        0.0444425,
        0.0475125,
        0.0474088,
        0.045084,
        0.0445949,
        0.0434452,
        0.0426485,
        0.0447686,
        0.0514772,
        0.0401593,
        0.0408175,
        0.0422948,
        0.0407815,
        0.0422694,
        0.0368076,
        0.0382618,
        0.0411845,
        0.0330402,
        0.0487982,
        0.0474885,
        0.0435468,
        0.0460184,
        0.0480072,
        0.04676,
        0.0503358,
        0.0557043,
        0.0514078,
        0.0404511,
        0.03446,
        0.0357591,
        0.0444376,
        0.0425355,
        0.0444006,
        0.0440149,
        0.0410409,
        0.041835,
        0.0372086,
        0.041423,
        0.0470427,
        0.0415614,
        0.0422474,
        0.0429642,
        0.0421013,
        0.0397766,
        0.0408763,
        0.0444973,
        0.0448068,
        0.0429598,
        0.0436368,
        0.0436129,
        0.045532,
        0.0469556,
        0.0464563,
        0.0476369,
        0.0479014,
        0.0446609,
        0.0415583,
        0.0501402,
        0.0493286,
        0.0483136,
        0.0491498,
        0.0526104,
        0.044754,
        0.0428715,
        0.042202,
        0.0409312,
        0.0408692,
        0.0472699,
        0.0456046,
        0.0395065,
        0.0383373,
        0.0470574,
        0.0464766,
        0.0445876,
        0.0462695,
        0.0485797,
        0.0487613,
        0.0450353,
        0.0414721,
        0.0479149,
        0.0507793,
        0.0456048,
        0.0431398,
        0.0511853,
        0.0534528,
        0.0528519,
        0.0477579,
        0.0410222,
        0.0433808,
        0.0446488,
        0.0465289,
        0.0503213,
        0.0565658,
        0.0516573,
        0.049667,
        0.0528817,
        0.0588721,
        0.0513154,
        0.0540711,
        0.0542459,
        0.0519959,
        0.0513606,
        0.0553196,
        0.0601368,
        0.05839,
        0.0484792,
        0.0484197,
        0.0490317,
        0.0516864,
        0.0539925,
        0.0500508,
        0.0505691,
        0.0479425,
        0.0442029,
        0.0455313,
        0.0600113,
        0.056568,
        0.0442373,
        0.0478054,
        0.0534395,
        0.0495169,
        0.0487125,
        0.0466185,
        0.0425642,
        0.039663,
        0.0478964,
        0.0473279,
        0.0432585,
        0.0434973,
        0.0546577,
        0.0505287,
        0.0521171,
        0.0536871,
        0.0518714,
        0.0438257,
        0.0520448,
        0.052922,
        0.0473363,
        0.0432575,
        0.0382432,
        0.0395352,
        0.0428031,
        0.0448069,
        0.0428798,
        0.0421833,
        0.0409194,
        0.0404537,
        0.0445919,
        0.0487503,
        0.0478938,
        0.0454186,
        0.044163,
        0.0414622,
        0.0434321,
        0.0458114,
        0.0477903,
        0.050811,
        0.0553438,
        0.0501842,
        0.0415936,
        0.0382121,
        0.0432781,
        0.0470557,
        0.0499728,
        0.0524056,
        0.0549485,
        0.0531739,
        0.0550435,
        0.0572515,
        0.0532931,
        0.0480841,
        0.0503345,
        0.0521976,
        0.0500993,
        0.0510757,
        0.0438214,
        0.047056,
        0.0542584,
        0.0473665,
        0.0453201,
        0.0486297,
        0.0497725,
        0.0451367,
        0.0518624,
        0.0531313,
        0.0517499,
        0.0488539,
        0.0541168,
        0.0580751,
        0.0623669,
        0.0626944,
        0.0500489,
        0.052543,
        0.0585306,
        0.0618366,
        0.058575,
        0.0537804,
        0.0539288,
        0.0528818,
        0.0531662,
        0.0668487,
        0.0623327,
        0.0597375,
        0.0560631,
        0.0477095,
        0.0572466,
        0.0530174,
        0.0513639,
        0.0548824,
        0.0496338,
        0.0467062,
        0.0498676,
        0.0557828,
        0.0596276,
        0.0583293,
        0.0562691,
        0.0532533,
        0.0507282,
        0.0560647,
        0.0568572,
        0.0541195,
        0.0511049,
        0.0527174,
        0.0476288,
        0.0415888,
        0.0407911,
        0.0467369,
        0.0449663,
        0.0498522,
        0.0535184,
        0.0536348,
        0.0494848,
        0.0570241,
        0.05873,
        0.0561073,
        0.0513256,
        0.0499094,
        0.0485815,
        0.050447,
        0.0565423,
        0.0667339,
        0.0591111,
        0.0510736,
        0.0480173,
        0.0531403,
        0.0581259,
        0.0508893,
        0.0492512,
        0.0549171,
        0.05118,
        0.0517887,
        0.0514838,
        0.0520094,
        0.0556789,
        0.0557678,
        0.0474287,
        0.0443395,
        0.0512894,
        0.0563753
    ]
}