COMPLETE NUMPY RESEARCH ARRAY EXPORT
Original filename: n14_dense_r01.npz
Original source SHA-256: 7212f477f9ca8bdbd7ec683eab3eeb7f4839e977d866b9bc5dfe74c6b7d1bcf1
Arrays are decoded with allow_pickle=False. The following values reproduce the stored numeric arrays in readable form; this is source-data recovery, not a rerun of the experiment. JSON float notation uses sufficient precision to round-trip the stored float64 values.

{
  "name": "W",
  "dtype": "float64",
  "shape": [
    14,
    14
  ],
  "data": [
    [
      0.25083035444445695,
      0.3702671439162981,
      -0.14306078502165004,
      0.0802088722730579,
      0.012021318212999402,
      0.03350644243791458,
      0.15735450339004414,
      0.09637038510760065,
      -0.16689939590683353,
      -0.4925320756215284,
      -0.019767796172717587,
      0.304303032256927,
      -0.10004646841520902,
      -0.008759473230014065
    ],
    [
      -0.03010575366936745,
      0.0685855571843209,
      -0.27430578490292745,
      0.20125368001643643,
      -0.19337697239395749,
      0.007664692256297064,
      0.4598049552097924,
      -0.04921557951432275,
      0.06868469688108411,
      -0.1823122459263135,
      0.1878111860815811,
      0.2973084064786238,
      -0.2037709985128815,
      -0.040342712892568994
    ],
    [
      -0.18631040036917032,
      0.3870410090839147,
      -0.3869707195996836,
      -0.11067816406097819,
      0.24695854242763723,
      -0.3644465841100981,
      -0.11721537773296378,
      -0.25257397963919437,
      -0.06397229827513545,
      0.18175588337760215,
      -0.0973324920440807,
      -0.022553108654421568,
      -0.09241797273819745,
      0.09191495522716686
    ],
    [
      0.4443692137869569,
      -0.07237298701594859,
      -0.04616012697350096,
      -0.05843495957398045,
      -0.3621031820972574,
      -0.04402104812456752,
      0.11381862570468798,
      0.009343702653736182,
      0.4168828328950232,
      0.16925599241621567,
      -0.31331120391279554,
      -0.489515455898378,
      -0.06460926310122202,
      -0.48585282332400076
    ],
    [
      0.10162265476178609,
      -0.19388829407574099,
      0.19558235886561065,
      0.015564139338786597,
      0.011453094231321171,
      0.021292945779014173,
      -0.3215349645742072,
      -0.010872175577041482,
      -0.14886544717120098,
      -0.26129850817207195,
      0.07999625603504015,
      0.07835601352253486,
      -0.023759193222106477,
      -0.1381751318331688
    ],
    [
      -0.2244282890612393,
      0.26507303924987874,
      0.3942222561616799,
      -0.2602263404585403,
      -0.00489959903166396,
      0.02636453378056615,
      -0.21407558524213402,
      -0.18462244868612238,
      -0.17940604502022456,
      0.9204819083481576,
      -0.09688782709438204,
      0.06273677023383266,
      0.4071968992895763,
      0.2301707423352363
    ],
    [
      0.13582237320578436,
      0.12036817837033023,
      0.060733952309639364,
      -0.20280981136872087,
      -0.30869822513689554,
      -0.11296572691820962,
      0.19016591034595975,
      0.0034500546480398073,
      -0.020789358414430966,
      -0.051815665591077614,
      -0.1814522069127761,
      -0.14024746340920244,
      0.1392545763458866,
      -0.10805274725735779
    ],
    [
      0.10885175096015018,
      -0.05847187649773439,
      -0.30343889838724447,
      0.4053038808391948,
      -0.009659395358704819,
      -0.10685616780138522,
      -0.11855693199807414,
      -0.06216822307189011,
      -0.016413473279069543,
      0.06595190265022836,
      0.2173990430685899,
      0.3294791802882884,
      -0.17637651290505313,
      0.1607034244602619
    ],
    [
      0.39785308090620897,
      -0.3094996399591496,
      -0.21748598906458785,
      0.029129914447137657,
      -0.19668803755095526,
      0.19286580982626378,
      0.04447066211610924,
      -0.04453568568157278,
      0.1315394798524667,
      -0.24714822813311316,
      -0.03458445901487524,
      0.2481801434336277,
      -0.34527193788621335,
      -0.1736509835883001
    ],
    [
      -0.1569665493252703,
      -0.1761370584836898,
      0.5106684602091646,
      0.011965272414320409,
      -0.08262358572801248,
      0.02844230078492043,
      0.32357975162449176,
      0.03213426660732948,
      -0.17387917375976225,
      0.04220992721036277,
      0.13818623264751487,
      -0.20976112966685248,
      0.05218919954135505,
      0.32241290405824957
    ],
    [
      -0.27965053302574366,
      -0.12238231807156547,
      -0.36070699943451023,
      0.37591400562888844,
      -0.5535333750758525,
      -0.12391965381684775,
      -0.23653850358932577,
      0.2523938782903369,
      0.13338925343531424,
      0.19954620053605548,
      -0.33816334328203945,
      0.14336386747472968,
      -0.08535778648309021,
      0.20656032901231433
    ],
    [
      0.3828924597603358,
      0.13169331722374097,
      -0.2348526163866379,
      0.07215849440603814,
      -0.3392214792285338,
      -0.08525276931951178,
      0.05634506210198436,
      0.2137351955682005,
      -0.26183393639185765,
      0.16522839461781189,
      0.1346461670913426,
      0.19447834571231198,
      0.19455968395407786,
      0.0653350573518676
    ],
    [
      0.19847915116270656,
      -0.10755180568811445,
      0.33494680945378064,
      0.34871613010220937,
      -0.014754410715047385,
      0.18420692085431858,
      0.09986020318292846,
      -0.3330945630033253,
      -0.08930726209316867,
      0.37252533228853113,
      -0.11886320537233458,
      -0.3309483681017602,
      0.1948844275789039,
      0.14312012333721708
    ],
    [
      -0.2087554966079387,
      -0.12054146073404386,
      -0.005923166697389169,
      0.0520889766943772,
      -0.13848300267966285,
      0.031634902555735506,
      -0.1942558516049423,
      -0.16910793080800932,
      0.19782556800771955,
      -0.12139703448889709,
      -0.13707465815272196,
      -0.14588151477044156,
      0.272124034261067,
      -0.33939410925677266
    ]
  ]
}

{
  "name": "Sigma",
  "dtype": "float64",
  "shape": [
    14,
    14
  ],
  "data": [
    [
      5.043527354542309,
      2.3524994122329144,
      -0.20127259318470514,
      1.2802253781846897,
      0.7596877180309094,
      -5.192895285766968,
      0.5599626649589882,
      1.6981511490437624,
      2.2972897919557425,
      -1.5111094330933912,
      -0.22968205701832184,
      1.2501244329459642,
      -2.4729170241517355,
      -1.4126086475460389
    ],
    [
      2.3524994122329144,
      3.2342229230857362,
      -0.23962219331955853,
      0.5307970675623889,
      0.15717424572617422,
      -3.503949887850432,
      0.07952080835807586,
      1.5982467175350448,
      1.635844417422033,
      -0.6923512984277087,
      0.2626861304595245,
      0.7691178855616132,
      -1.156982461639166,
      -0.844146770274252
    ],
    [
      -0.20127259318470514,
      -0.23962219331955853,
      4.8101970907024,
      1.372123645072277,
      -1.5757313296222466,
      0.5055284842216521,
      0.12702858648294113,
      0.8355611058037931,
      -0.7013893192962941,
      -2.5074965915579526,
      0.4300860574827189,
      0.6803195915018048,
      -1.0787151960808752,
      -0.6063320771426703
    ],
    [
      1.2802253781846897,
      0.5307970675623889,
      1.372123645072277,
      4.752685237044909,
      -0.4140020177667856,
      -2.630924690905742,
      1.0324062980187563,
      0.5274894129684496,
      1.21466266683551,
      -2.2114485758028497,
      0.22268771954473338,
      0.6060768797581679,
      -1.1303088308271145,
      -0.2765173092245107
    ],
    [
      0.7596877180309094,
      0.15717424572617422,
      -1.5757313296222466,
      -0.4140020177667856,
      2.207838844859327,
      -1.3122898167903183,
      -0.023145517289137517,
      -0.13404438643769306,
      0.7262034552910797,
      0.7222956847849822,
      -0.4243188279318947,
      -0.3190607833763315,
      -0.2426249975875633,
      0.05654145929289514
    ],
    [
      -5.192895285766968,
      -3.503949887850432,
      0.5055284842216521,
      -2.630924690905742,
      -1.3122898167903183,
      10.475745233340392,
      -0.4272881787706019,
      -2.7144670631735233,
      -3.8242718430079066,
      1.9555120437001814,
      -0.03687689379645959,
      -0.5852975542673722,
      3.2409957980418524,
      1.4738002440665054
    ],
    [
      0.5599626649589882,
      0.07952080835807586,
      0.12702858648294113,
      1.0324062980187563,
      -0.023145517289137517,
      -0.4272881787706019,
      1.654288178434193,
      -0.21067877022546952,
      0.17645958891365995,
      -0.34036854370542335,
      -0.05295736691574992,
      0.42196998609763126,
      -0.37249189120681814,
      -0.08241736890805271
    ],
    [
      1.6981511490437624,
      1.5982467175350448,
      0.8355611058037931,
      0.5274894129684496,
      -0.13404438643769306,
      -2.7144670631735233,
      -0.21067877022546952,
      2.98248492350005,
      1.0706977101344912,
      -1.2427273488014832,
      0.6155973500727092,
      0.9542565156395233,
      -1.038055150913458,
      -0.9085023584337162
    ],
    [
      2.2972897919557425,
      1.635844417422033,
      -0.7013893192962941,
      1.21466266683551,
      0.7262034552910797,
      -3.8242718430079066,
      0.17645958891365995,
      1.0706977101344912,
      3.5016790994792393,
      -1.0546915363544884,
      -0.16988273656832664,
      0.31108767411812926,
      -1.315851420659424,
      -0.6820488126309556
    ],
    [
      -1.5111094330933912,
      -0.6923512984277087,
      -2.5074965915579526,
      -2.2114485758028497,
      0.7222956847849822,
      1.9555120437001814,
      -0.34036854370542335,
      -1.2427273488014832,
      -1.0546915363544884,
      4.30255335055161,
      -0.3496993241007257,
      -1.0741684647375611,
      2.1843150597769547,
      0.6644717840848966
    ],
    [
      -0.22968205701832184,
      0.2626861304595245,
      0.4300860574827189,
      0.22268771954473338,
      -0.4243188279318947,
      -0.03687689379645959,
      -0.05295736691574992,
      0.6155973500727092,
      -0.16988273656832664,
      -0.3496993241007257,
      2.6361943261503367,
      0.2917813650579334,
      0.11099116291259742,
      0.2996889361235314
    ],
    [
      1.2501244329459642,
      0.7691178855616132,
      0.6803195915018048,
      0.6060768797581679,
      -0.3190607833763315,
      -0.5852975542673722,
      0.42196998609763126,
      0.9542565156395233,
      0.31108767411812926,
      -1.0741684647375611,
      0.2917813650579334,
      2.7629493781367023,
      -0.9647646169409558,
      -0.8214669791243849
    ],
    [
      -2.4729170241517355,
      -1.156982461639166,
      -1.0787151960808752,
      -1.1303088308271145,
      -0.2426249975875633,
      3.2409957980418524,
      -0.37249189120681814,
      -1.038055150913458,
      -1.315851420659424,
      2.1843150597769547,
      0.11099116291259742,
      -0.9647646169409558,
      4.285057412861336,
      1.1077740787583066
    ],
    [
      -1.4126086475460389,
      -0.844146770274252,
      -0.6063320771426703,
      -0.2765173092245107,
      0.05654145929289514,
      1.4738002440665054,
      -0.08241736890805271,
      -0.9085023584337162,
      -0.6820488126309556,
      0.6644717840848966,
      0.2996889361235314,
      -0.8214669791243849,
      1.1077740787583066,
      2.242186200036353
    ]
  ]
}

{
  "name": "node_permutation",
  "dtype": "int64",
  "shape": [
    14
  ],
  "data": [
    9,
    13,
    7,
    8,
    3,
    1,
    4,
    12,
    2,
    0,
    5,
    6,
    10,
    11
  ]
}

{
  "name": "J",
  "dtype": "float64",
  "shape": [
    8191
  ],
  "data": [
    0.42823519781296066,
    0.3838623178575273,
    0.42540758697934244,
    0.36160018663213905,
    0.4069569642823466,
    0.3635121234229605,
    0.4094487339257157,
    0.35173870793930107,
    0.39898183634959317,
    0.35841481826105476,
    0.3810979364853231,
    0.329349925344653,
    0.3884506862227303,
    0.346427237050267,
    0.37369721967206254,
    0.3228739157497543,
    0.4427804091531762,
    0.3970230820734834,
    0.37321457392228047,
    0.3362002868601167,
    0.40473042592070724,
    0.36927340426164995,
    0.3615714560610812,
    0.32690871050918935,
    0.41395426880948966,
    0.3708773576150472,
    0.3485573545169719,
    0.31323770591838296,
    0.3862035139898591,
    0.3512025820564886,
    0.33742639209642433,
    0.30463736339062975,
    0.36956398271678625,
    0.3110147320436264,
    0.3840426237162071,
    0.3103143042104227,
    0.37580202467894447,
    0.31942715276526973,
    0.3810443195727973,
    0.31559415403843566,
    0.33940364459592776,
    0.2805552204986833,
    0.33198558620844426,
    0.2667857738730921,
    0.3437748383985195,
    0.28863286519226056,
    0.3355161083614731,
    0.2749014168963222,
    0.3909794749315433,
    0.3360530881995117,
    0.3451157250967454,
    0.2929481071641584,
    0.3765181977351921,
    0.32764058430539406,
    0.3419360550765858,
    0.2937174203145194,
    0.35683797579967297,
    0.30455156187672394,
    0.30890824410065915,
    0.258903361929711,
    0.3443065300140183,
    0.2980574106583012,
    0.3068782973105814,
    0.26625164783392397,
    0.37151245696784985,
    0.3544187016238105,
    0.3702898047676895,
    0.32808501065072015,
    0.3408819997274005,
    0.3244945594033705,
    0.3374875538373864,
    0.3046215958377949,
    0.3660146572585185,
    0.33686173392503066,
    0.3472005600146337,
    0.3067016149025442,
    0.3362716693565699,
    0.3123138469180579,
    0.3191930617278879,
    0.2857909160012321,
    0.39539931016189284,
    0.372855955586897,
    0.3370341957982842,
    0.31239313803980545,
    0.3472106294405078,
    0.33236642817995704,
    0.3062897173884006,
    0.2860694440991691,
    0.38122503669475144,
    0.35241641892600445,
    0.32120298459363594,
    0.2941512623452193,
    0.3377443903208687,
    0.31796746226350375,
    0.29068675778949205,
    0.2806475074102477,
    0.3378992513399998,
    0.2996932761168687,
    0.3443435858641149,
    0.2884641845632191,
    0.328874156345558,
    0.29350970180391445,
    0.32619409932301524,
    0.27949327561745285,
    0.32198863953722356,
    0.27512572933799034,
    0.3073355264803552,
    0.25386717203282644,
    0.3080883673776308,
    0.2677555719577505,
    0.29364848118907416,
    0.24709657919660544,
    0.3583920863362387,
    0.3231676498345898,
    0.31563756627030254,
    0.2759239490451382,
    0.332019584760964,
    0.3007351447769514,
    0.29680000262489653,
    0.2698070858627314,
    0.33629583320153333,
    0.29697821969625066,
    0.2870924937327331,
    0.24643755154602204,
    0.3085960075400888,
    0.27506480143418555,
    0.27428605083826446,
    0.306730518438243,
    0.3840965196499627,
    0.33449834959543157,
    0.3882157196879949,
    0.33183135197387476,
    0.35188570482295317,
    0.30532347376597146,
    0.3612859394034686,
    0.30879081334561137,
    0.3638313871504463,
    0.3194608138737463,
    0.35850192279196996,
    0.3071784822104587,
    0.3406133441953038,
    0.2956274410694261,
    0.33770183254598424,
    0.28713784042673457,
    0.37825488278786024,
    0.34670265122392996,
    0.33976862890266324,
    0.30606630131495033,
    0.3403052262607453,
    0.3131040562709147,
    0.31697059647585946,
    0.2849105999530669,
    0.36054695903708134,
    0.3279291549500701,
    0.32212605755157214,
    0.28847216939544856,
    0.3296371245396958,
    0.3009331389182366,
    0.3009726814036705,
    0.28473975029464027,
    0.35455660055379135,
    0.28896425712647605,
    0.3630383427821473,
    0.2941803922325993,
    0.3367852973453868,
    0.2768174939573854,
    0.3444727188469056,
    0.2824572718009813,
    0.32163029395782344,
    0.2622242284810025,
    0.32033526924248834,
    0.2566137215122554,
    0.3070871316553323,
    0.2511360070753259,
    0.3076097362198601,
    0.24754318666685549,
    0.35128235075693587,
    0.30457140017732715,
    0.32160966774366084,
    0.27190615931567547,
    0.325755486182111,
    0.28268182671075165,
    0.3049820065959473,
    0.2707930582931082,
    0.3209653431007062,
    0.27665826785396486,
    0.29041564766826566,
    0.24269694049693177,
    0.2984644760611052,
    0.2569678504580584,
    0.2854532428723353,
    0.31014948280627086,
    0.35280642391385914,
    0.3210521073464018,
    0.34857132968299326,
    0.306406666241417,
    0.30785716613769276,
    0.28152438127975743,
    0.3059392339637636,
    0.2719038144025955,
    0.3410984598263747,
    0.3068131479467794,
    0.330513942210913,
    0.288486792474325,
    0.3014493606681893,
    0.27190941255540324,
    0.29281166985523593,
    0.2567643666130535,
    0.355068621572338,
    0.33866186104327073,
    0.3135412515046425,
    0.29047554146494414,
    0.30092629383224667,
    0.2901583210512428,
    0.27229435058073964,
    0.27107604046900224,
    0.3413434185281137,
    0.32026300083685194,
    0.30064680526558013,
    0.2807580474691567,
    0.29220935580506013,
    0.2832694401578143,
    0.27444600869026176,
    0.33041189364902196,
    0.33042048049486883,
    0.2821354417449948,
    0.3306728188316996,
    0.2751309716592209,
    0.3024064442327211,
    0.2599790394757247,
    0.29990353034131967,
    0.2526965500245035,
    0.30755636432814204,
    0.25864156788693865,
    0.29845428850932687,
    0.24434606032839856,
    0.27950506809537606,
    0.23638331451480257,
    0.27230005876498337,
    0.2799552041080434,
    0.3315537624999314,
    0.3008397364506336,
    0.29831373026051866,
    0.2614116236034128,
    0.29319713992907065,
    0.26845431391968105,
    0.2778572219739431,
    0.31557983930368533,
    0.30788636366201133,
    0.2752558386558781,
    0.27249268716979785,
    0.3027884554697234,
    0.26980709617446746,
    0.31258071229212253,
    0.3240037996007631,
    0.36497788139253984,
    0.41421008525581887,
    0.36759550003426267,
    0.3860564600543926,
    0.3322355230409954,
    0.41781898582960386,
    0.3677576208644433,
    0.3861307456022507,
    0.3347920079889492,
    0.3763124452118199,
    0.33622315605212,
    0.3374524737889576,
    0.2921024984602799,
    0.38137894182189014,
    0.3379351956283595,
    0.3428696344628058,
    0.2968807360801991,
    0.3233755620516039,
    0.30382783373929495,
    0.28073136188334924,
    0.25909836781405454,
    0.3286952861571316,
    0.30125228790289565,
    0.28156706288723055,
    0.25707913912720526,
    0.3117162186059072,
    0.2871442481393993,
    0.2594036904922187,
    0.23651415932708328,
    0.3104987665244952,
    0.28247721781910445,
    0.2566984719776089,
    0.2473997664281608,
    0.36339873152224883,
    0.30041005174868673,
    0.34805980253571,
    0.282761413408435,
    0.37775786069678313,
    0.3159555109358291,
    0.35410079466492506,
    0.2941797002918081,
    0.31886725237470975,
    0.2625967066041186,
    0.2898778845840213,
    0.23205979749270214,
    0.3335484619020926,
    0.2778763882144045,
    0.3034337036424192,
    0.24778236963559985,
    0.2903710408782565,
    0.2556556262589037,
    0.258472635592789,
    0.22256175727258712,
    0.3036116388001574,
    0.26089243596219863,
    0.26371397936923296,
    0.2365508630765378,
    0.26759819787763633,
    0.23061671083288424,
    0.22535294798725192,
    0.18973023266963104,
    0.2752404947888357,
    0.2353164184061378,
    0.24101695841366905,
    0.26101368552725096,
    0.38510478665494613,
    0.3515284933724699,
    0.34535673160238334,
    0.30575145266818265,
    0.36035230527279,
    0.3317475997288106,
    0.32807575316083065,
    0.294661249771509,
    0.3589498820236576,
    0.32555555473160175,
    0.30766652197712036,
    0.27130886735230414,
    0.33839083494617633,
    0.3095080486978975,
    0.2962019048933421,
    0.2642459994449872,
    0.3135137852332478,
    0.3017501269291768,
    0.2601703340282855,
    0.24499161136200784,
    0.29080659489267835,
    0.27627112099314216,
    0.2408554813097781,
    0.24213040564817706,
    0.30299373808831315,
    0.28472189366519285,
    0.238533530620844,
    0.2257183895052445,
    0.2769453224601195,
    0.2660458274683804,
    0.23283102718927745,
    0.2795669660855414,
    0.34577506679756925,
    0.29640683779053234,
    0.3185493099651967,
    0.26592762576979073,
    0.3366629036582158,
    0.2923363931537178,
    0.3098657123165203,
    0.2641610401745917,
    0.3110972658796652,
    0.2632697565082968,
    0.2678025266444663,
    0.2187114920921884,
    0.3039822970450703,
    0.2606866312856056,
    0.26674280850415716,
    0.282515471148137,
    0.28401330935174895,
    0.2578798221134717,
    0.24105782684791072,
    0.21433088490418423,
    0.2738346686564097,
    0.24689040654068245,
    0.24151247373242657,
    0.27187987330072483,
    0.26383778860540175,
    0.23383934635863116,
    0.20768255399499463,
    0.23057210069220496,
    0.251031550357146,
    0.2841894500804708,
    0.2682252692389076,
    0.2987143171529928,
    0.36408307303060705,
    0.3184966657973497,
    0.35484793968169465,
    0.3038982606540044,
    0.35459856562829284,
    0.30674883967921546,
    0.3393939542387208,
    0.29092448907095575,
    0.33698076129597054,
    0.29561043486497596,
    0.3128660115073299,
    0.2671882820800175,
    0.3301177988880294,
    0.285459472356237,
    0.3035510552605985,
    0.2598353214793769,
    0.28672265765057187,
    0.26829661851401515,
    0.2615188993186777,
    0.23722147761838994,
    0.2788650157122168,
    0.2529033578553222,
    0.24784000996287162,
    0.23976169272705697,
    0.2760421174632751,
    0.25411803719762494,
    0.23998067476393697,
    0.2213470378519429,
    0.26478206206412863,
    0.24698117098245276,
    0.24283723805207943,
    0.2780123326142563,
    0.33166143248151847,
    0.2716394609792906,
    0.32664688014954685,
    0.2654076404412813,
    0.32931198504128417,
    0.270702211423326,
    0.3169405658950412,
    0.2602969434885897,
    0.29249302202710253,
    0.2391347232789507,
    0.2731442347395933,
    0.21779933576515215,
    0.29227804097257876,
    0.23853282417764285,
    0.27138608373008816,
    0.2784121696915026,
    0.26494862391296803,
    0.2318230432361025,
    0.24464824879341043,
    0.2106516304178366,
    0.26340477622465197,
    0.22839558859392198,
    0.2494874710848972,
    0.26828275077781216,
    0.24245086464037904,
    0.20888369220183187,
    0.21306333206339922,
    0.22965753337151393,
    0.24165347637292692,
    0.26137312465875523,
    0.2802584558552894,
    0.297488579217318,
    0.348148880090716,
    0.3125593183416029,
    0.3225913990750851,
    0.2829065512207134,
    0.31444597689448284,
    0.2834837239581912,
    0.2924744281455772,
    0.26207868945883955,
    0.32512396789122294,
    0.29054333614517636,
    0.2872999647601123,
    0.24988882695023223,
    0.29659567114973323,
    0.2650743925665634,
    0.26626663212012913,
    0.2994874743668501,
    0.28483169367569305,
    0.2748087509084616,
    0.24509145566620827,
    0.2381640354752718,
    0.25101222406540696,
    0.24983701127692495,
    0.22956280968175474,
    0.27555569967641835,
    0.27250352646349285,
    0.25793794234094813,
    0.2286035508625784,
    0.27452675036532476,
    0.2450232101198475,
    0.2980673970247007,
    0.26633367132193914,
    0.3193531393247683,
    0.32020229811102147,
    0.271128625304633,
    0.30143865222197536,
    0.2503953310358973,
    0.298919645186713,
    0.25452008797646886,
    0.2796128831993236,
    0.30208782006891216,
    0.286964924743856,
    0.2409078040457487,
    0.2532766338589442,
    0.2505863895385178,
    0.2688866509043429,
    0.2774629182787313,
    0.30686744248218045,
    0.32588895043942395,
    0.2634457168083652,
    0.23960994246106865,
    0.23285583781949332,
    0.26492948320781284,
    0.2466130017777423,
    0.28084711053798894,
    0.28180030064829376,
    0.31374264104793026,
    0.24167648725211566,
    0.2732495198786041,
    0.2558979631089091,
    0.2877601961653615,
    0.2837811138103401,
    0.32261440011289344,
    0.31317961152887497,
    0.3485514561658926,
    0.39633631665416474,
    0.36084143105067523,
    0.38824614235885296,
    0.3372496009034139,
    0.3358010648183408,
    0.3091899788070467,
    0.3429913315028397,
    0.2997245215001903,
    0.3483506307016559,
    0.3185992856797901,
    0.3326049511272675,
    0.29135852541294216,
    0.31179141284585693,
    0.28366706438932454,
    0.29990299073168486,
    0.2613065703033968,
    0.40751195540794133,
    0.3704363486141619,
    0.34647692125220936,
    0.31337289166697857,
    0.34477914024330897,
    0.319470842015098,
    0.30921410292864565,
    0.280701119466942,
    0.3635192217623072,
    0.3299288586835141,
    0.3058130845152823,
    0.2757598134539014,
    0.31918577562030237,
    0.2933875317272964,
    0.2751788653338644,
    0.26408125625070394,
    0.35454944454930465,
    0.2993307425610468,
    0.35586491914336427,
    0.29059352187662035,
    0.3155589210492867,
    0.27275240152464886,
    0.31965142579862577,
    0.26679438086803997,
    0.2994869207665944,
    0.2511374094020224,
    0.29154027601492655,
    0.23697792126215494,
    0.2752911539297772,
    0.23422607660519829,
    0.26838507867071615,
    0.22076006552508431,
    0.367173951701708,
    0.31684250060188185,
    0.3210342333169048,
    0.27246833636991874,
    0.32362402363762816,
    0.28366918774283545,
    0.2911030333132301,
    0.2627598512054986,
    0.3124219976040734,
    0.26932179812712453,
    0.2688454729166345,
    0.22644731516023234,
    0.2820347490673379,
    0.24737946669483804,
    0.2578671558800852,
    0.2822892101938034,
    0.33704436484275735,
    0.3240779049913866,
    0.33519530106453993,
    0.3007288191738799,
    0.2847904741891428,
    0.2748493773230928,
    0.2836027979420892,
    0.25732121898764615,
    0.3092407865994923,
    0.29035144596514095,
    0.296174583907883,
    0.2644587454394849,
    0.26909332442925765,
    0.25256163134919607,
    0.25326925505642345,
    0.2265546501124255,
    0.36007315129079526,
    0.342410419524047,
    0.3108740828934203,
    0.28872709345295156,
    0.294894084846446,
    0.2843515274771817,
    0.2603397964380782,
    0.2609079870495284,
    0.32997761002471815,
    0.30893270583035337,
    0.27957804090459343,
    0.2626147151439426,
    0.27805748161636684,
    0.2708208866182107,
    0.24976308011666767,
    0.29861780577657965,
    0.30969633002498825,
    0.27696683282940027,
    0.31284751275653694,
    0.2646640537595021,
    0.2737303729040953,
    0.24735945822743002,
    0.27168040564391416,
    0.233147858116074,
    0.27216154075246257,
    0.23713353375614377,
    0.26196311812731926,
    0.21884122081317595,
    0.2433307520232159,
    0.21379369752263408,
    0.23042451125478983,
    0.24500049137451296,
    0.3296765795132306,
    0.298668444821669,
    0.2909790848133693,
    0.2581434714607052,
    0.28193513968673817,
    0.2616317885404106,
    0.26321209162331816,
    0.2979143146936486,
    0.28969052349297975,
    0.2589990036804003,
    0.24771160677639448,
    0.27755036715165016,
    0.2524470725606333,
    0.29420486041819116,
    0.28849079015300566,
    0.3243383372125509,
    0.36374796815015886,
    0.3197919029747652,
    0.35949608401549776,
    0.31069005598236465,
    0.3037781413472864,
    0.2690466454422574,
    0.3114777208362491,
    0.26889925656654956,
    0.3246913416509165,
    0.286621037864748,
    0.3157278971607847,
    0.2712561582846227,
    0.28014484634062803,
    0.24577366144360818,
    0.27505491494670825,
    0.23590468888029456,
    0.358059594852929,
    0.32771160589067816,
    0.3188025237738772,
    0.2865858687638084,
    0.29755424170492095,
    0.2759045161375488,
    0.275649747893599,
    0.26964542570922323,
    0.325196541165194,
    0.2954816439782531,
    0.287276915451196,
    0.2651712775136804,
    0.2771677362704855,
    0.262515123274037,
    0.26721797685173543,
    0.30944147502170444,
    0.3360964100360696,
    0.2759267730688457,
    0.33613297465744174,
    0.2738291423764057,
    0.29054942950701856,
    0.2421238756215158,
    0.29463485278117924,
    0.24265335872237767,
    0.28457495945886935,
    0.2335268037854126,
    0.2808321197108692,
    0.22566187558280776,
    0.24966197633760137,
    0.2058018647834102,
    0.24845305136255325,
    0.2549043842336586,
    0.33274083844273944,
    0.2874726656191441,
    0.30030230478087905,
    0.25863292674907706,
    0.28451628730393563,
    0.253791983432255,
    0.27873719973623295,
    0.3067456048825825,
    0.2855917820151318,
    0.24606952643931496,
    0.2586120534211247,
    0.28030654874667205,
    0.25045912256706887,
    0.28065861655149593,
    0.3066019129353536,
    0.3349806539822519,
    0.32366936128529983,
    0.29622555330077865,
    0.3186321441414399,
    0.28177650193995935,
    0.26593026424434,
    0.24443924423558308,
    0.2630892819722853,
    0.23705453004686344,
    0.29464264670783313,
    0.2666662219194708,
    0.2856169033863024,
    0.24922331472314038,
    0.2467383479964614,
    0.22235622864468882,
    0.2380866862988896,
    0.26621549595866906,
    0.32636139493347216,
    0.31145893727232377,
    0.28996730900838724,
    0.2807861819450744,
    0.2576036851147072,
    0.26132074358528096,
    0.2507956175340051,
    0.3038494300159042,
    0.30001998853324974,
    0.2821439461861728,
    0.27240496698350875,
    0.3256508097889448,
    0.250061317045765,
    0.3093501657546682,
    0.2945149396058489,
    0.3556436628039618,
    0.3020820112528547,
    0.2595924697559661,
    0.30087938508212864,
    0.2515828807834502,
    0.2576257906428286,
    0.22283971611540393,
    0.2538828860676591,
    0.2746187175657014,
    0.26298206157442056,
    0.22293657084893773,
    0.2559369838915977,
    0.2565815274201158,
    0.22403793158245255,
    0.23353360368221165,
    0.27606793780349126,
    0.29261359321795943,
    0.30483641826617897,
    0.276529603972678,
    0.279114169396193,
    0.3175380761521142,
    0.2554378064583062,
    0.30287204078997987,
    0.30912895684852876,
    0.35298268749835665,
    0.2677350682731455,
    0.3043688100514253,
    0.30958835921565925,
    0.3513865120455281,
    0.2883507007830933,
    0.3399664159098112,
    0.3455709172589364,
    0.39458096997476405,
    0.3882992447225124,
    0.3462114984458905,
    0.35290694575715054,
    0.3060655760854423,
    0.3505900916845798,
    0.31462648467711263,
    0.3277815213182877,
    0.28615571801333406,
    0.33511020881041076,
    0.30107644818152884,
    0.29534960323056453,
    0.25607707539652175,
    0.309796870408928,
    0.2774602228767454,
    0.27796124325395083,
    0.24565901653383723,
    0.3146417866033518,
    0.2918447473446605,
    0.26343542230029465,
    0.24156190183370768,
    0.2860926492443545,
    0.263422373558061,
    0.24286779235577968,
    0.24153892817508119,
    0.2788201769784269,
    0.25624427415767614,
    0.22508098354426143,
    0.2117726201107718,
    0.2547913656091855,
    0.242460140672124,
    0.22368648357321444,
    0.2589878763700492,
    0.3466952571558241,
    0.28439992030236044,
    0.31972821023690917,
    0.25786282065047533,
    0.32031065090929806,
    0.2682858560906449,
    0.2991786215743767,
    0.24903344362211566,
    0.2862125258120994,
    0.2356041453476903,
    0.25536000140101833,
    0.20302093009670938,
    0.2717078597490044,
    0.22604722332574148,
    0.24587300283859603,
    0.2567402827945184,
    0.2816651123518252,
    0.24247705060865002,
    0.23889185215866526,
    0.20721094443249005,
    0.2630150729441276,
    0.23226463564982378,
    0.23938789844186806,
    0.259319822103912,
    0.23676982271257982,
    0.2024125562997036,
    0.19650957304071523,
    0.21030921494023172,
    0.22854827232761216,
    0.24962430269460106,
    0.25081223918788326,
    0.2675415738639797,
    0.3468058181065692,
    0.3196172454913555,
    0.30936518433102467,
    0.2751387656102451,
    0.3021854427100724,
    0.280858859037757,
    0.2760343104866286,
    0.25447870302571585,
    0.30708756364980483,
    0.2816561224061487,
    0.26188217253163526,
    0.23149289695461892,
    0.27313545191939115,
    0.25067338497885683,
    0.24106875277367917,
    0.2752153259172056,
    0.2927536466052544,
    0.28053692326259577,
    0.23978718273829253,
    0.23616089546017796,
    0.24952867799229592,
    0.25077145740972767,
    0.22381816203666277,
    0.270052687981358,
    0.2640549008272515,
    0.25037653177201064,
    0.21227777089490119,
    0.2549650823731839,
    0.23613717657771316,
    0.28575899772308117,
    0.2426650046584885,
    0.29059816681725004,
    0.31455232851895043,
    0.2695917490149422,
    0.2848308314836646,
    0.2367104855522459,
    0.2819310332068259,
    0.24435721726610254,
    0.26029475632658106,
    0.28316000904564625,
    0.2671404444614828,
    0.22737492272710877,
    0.22850639825274058,
    0.22997966927468166,
    0.24396078707565882,
    0.2593446802072051,
    0.27358358856038717,
    0.29209689598858135,
    0.26490885365302885,
    0.23772206503903542,
    0.22504554681690844,
    0.25392612921626534,
    0.2412798988553293,
    0.2752086810259249,
    0.26631717710563363,
    0.2970564549124605,
    0.22813949142902215,
    0.257557767854614,
    0.23189879765171603,
    0.25831877926082775,
    0.26604772655189624,
    0.30195015359049815,
    0.27725516245304666,
    0.30726578580951897,
    0.34711011910682427,
    0.3047493443656072,
    0.3265118376446444,
    0.2814862930118938,
    0.3059228981478674,
    0.2686151363369641,
    0.2920976086014046,
    0.26073410041004413,
    0.3046415468020244,
    0.26673329649763866,
    0.2754092264221119,
    0.23472861402147244,
    0.2710605218376655,
    0.23544296822502295,
    0.25282177420723045,
    0.2759729504278545,
    0.28118688911025336,
    0.2597489205434514,
    0.24592314658119183,
    0.23465195895991783,
    0.24528611255939284,
    0.2390776571777707,
    0.2360101621433527,
    0.2736517961020222,
    0.2506756474946601,
    0.23120093769853478,
    0.22076476142031376,
    0.2551187331307571,
    0.22966009025876916,
    0.26762489777659654,
    0.25587568426053325,
    0.2926625538001922,
    0.315964620233785,
    0.25742411772897794,
    0.2990752473578884,
    0.24160408895093136,
    0.2830776297565403,
    0.23294452053490647,
    0.27337576958409593,
    0.28842137983055527,
    0.2629760520686058,
    0.21379559774711107,
    0.23993822822830027,
    0.23602876349640728,
    0.23856633771772234,
    0.24277661364351158,
    0.28474425741843734,
    0.293102788429076,
    0.2567359155971981,
    0.22060420828729885,
    0.23271815717154798,
    0.25195096678455875,
    0.2389391546173166,
    0.2604427594406533,
    0.2786699058586001,
    0.2984115238687058,
    0.21635404371864608,
    0.2355785830052597,
    0.24290124410871336,
    0.25981775332787105,
    0.25702318878968117,
    0.27828187459993325,
    0.2920641915899795,
    0.30835633467194906,
    0.31821756414118907,
    0.287449568863722,
    0.2912468816634159,
    0.25608462971575197,
    0.26892469135979635,
    0.24378017172201966,
    0.25744826389649617,
    0.29317021844681196,
    0.2827501140724077,
    0.2532150077899054,
    0.24698026043846383,
    0.2717395341222068,
    0.24168395489920577,
    0.2742522823349238,
    0.2792988424290499,
    0.3131176944595834,
    0.2662228130985756,
    0.26273861452345115,
    0.2372738115566779,
    0.2888979466255738,
    0.22878863925267265,
    0.2820802497107258,
    0.25586154324798793,
    0.30910720234449024,
    0.24183490039272976,
    0.2978366667718328,
    0.26080722862504946,
    0.316087199493637,
    0.26242945092287057,
    0.3211755393422511,
    0.27696269251534084,
    0.33448063655198995,
    0.2920621421866139,
    0.2469861021736971,
    0.26970781708659747,
    0.2796316116230117,
    0.25273396902650813,
    0.27153512498170673,
    0.30669027236409224,
    0.3319773371904893,
    0.2481983163014306,
    0.24968774399256508,
    0.270749305123008,
    0.28267463806452,
    0.27111731846715886,
    0.29296644724439935,
    0.32080243020886395,
    0.34027314629642025,
    0.24434440832842455,
    0.28690834953200856,
    0.27761699978351123,
    0.3170847048000247,
    0.27438927114999034,
    0.31433998536921604,
    0.31090015428821394,
    0.3484366813771517,
    0.26815856050291087,
    0.31398449338437145,
    0.29053014406463096,
    0.33165929769312763,
    0.3006812805869054,
    0.34598869906252633,
    0.3255989647019134,
    0.3657340768217409,
    0.37840958801423535,
    0.3402409686850158,
    0.377506891926208,
    0.3249870727978233,
    0.3528736893669432,
    0.3116042369542673,
    0.35512376545266816,
    0.30274751769654684,
    0.36119682190361146,
    0.3210155951279743,
    0.33750066273552976,
    0.29203448158096135,
    0.3371068735456354,
    0.2962306626746959,
    0.32014289813376673,
    0.2733742054436466,
    0.3919080986217429,
    0.3519016597956227,
    0.33777123525957253,
    0.3021443367648042,
    0.3508349199214316,
    0.31847375705078823,
    0.3136003341555962,
    0.2804376241848008,
    0.3736735913160349,
    0.3308439809288996,
    0.3109703662461224,
    0.2757089157878216,
    0.3366448758682276,
    0.302635278302669,
    0.2885051420789248,
    0.2701959023178403,
    0.3533472504535725,
    0.29195688258985314,
    0.3553913702543008,
    0.287469997832709,
    0.34092399095516956,
    0.2825051852231023,
    0.3401358447303858,
    0.276744372646345,
    0.32374951241131794,
    0.2612210012838272,
    0.30625487747736435,
    0.24285340621147242,
    0.30901883682637843,
    0.2515226393125079,
    0.29569268297701784,
    0.23564577563722086,
    0.3620894052031349,
    0.30703692861319876,
    0.31994990994169464,
    0.267998129047441,
    0.33526422270742456,
    0.2871536406566815,
    0.3015421758480458,
    0.26555707563950537,
    0.3327875297137162,
    0.27712080032716785,
    0.2825856947857204,
    0.23137611173992673,
    0.3060585477872856,
    0.25845778620675636,
    0.2758295718004823,
    0.2941850826803798,
    0.34190103166077085,
    0.3185118748321634,
    0.33428444586704636,
    0.2972829427463881,
    0.30444407760247494,
    0.2800806993217113,
    0.2945555633870569,
    0.2615951694599779,
    0.3335800065568655,
    0.3023327495330134,
    0.30829260101457095,
    0.27233543999301657,
    0.29439670701942816,
    0.2666287849479482,
    0.27187372987247127,
    0.23957772794339804,
    0.34989109500193155,
    0.3256150745975627,
    0.302112467816598,
    0.2766361885627167,
    0.30260874528378373,
    0.2830218257610595,
    0.26409252760108975,
    0.25716760315164827,
    0.3397077384005293,
    0.3091855494240495,
    0.28332522888662454,
    0.25870108102338507,
    0.2939275833498245,
    0.2758541882638012,
    0.258693663798389,
    0.30412794723272507,
    0.3241268638371188,
    0.27930830231424725,
    0.31992713136900447,
    0.2671532549117352,
    0.30023925638004056,
    0.256857627800652,
    0.28993354635904534,
    0.2422058264723203,
    0.30479661754093973,
    0.25365503178455207,
    0.2817928553544802,
    0.22965111792738688,
    0.27531207395960117,
    0.229679283500792,
    0.2550637341633225,
    0.2609272326401579,
    0.327818407873171,
    0.28907419433822445,
    0.2890033028627865,
    0.24922094100670023,
    0.29389764163032295,
    0.259918724067001,
    0.26962380096215616,
    0.29829484555552843,
    0.3080455717402239,
    0.26479294488393584,
    0.2585579469785463,
    0.2782054914284677,
    0.27167522394937166,
    0.3025170849670517,
    0.30646737037159555,
    0.3342744949353092,
    0.3267555191128159,
    0.2879010170916092,
    0.3314660089224134,
    0.28575045319272596,
    0.2985191064495147,
    0.2589516184613244,
    0.3052979393976609,
    0.25984799862053004,
    0.3107629045019594,
    0.2737866005936093,
    0.30036297261295697,
    0.2588292784975956,
    0.28577739964283194,
    0.2476625543039642,
    0.27889319302298526,
    0.23633380725561814,
    0.3329153660965446,
    0.3032518229711595,
    0.29846008337188784,
    0.2665814069685095,
    0.29079318843248936,
    0.2663856239673712,
    0.26791683483468426,
    0.25664680623466646,
    0.3170244596918361,
    0.2849177163288538,
    0.27541355310978205,
    0.25042119437074184,
    0.2793769797441516,
    0.2595939561203625,
    0.26323837479107526,
    0.3023134294288188,
    0.31745639041108664,
    0.2564527651147688,
    0.32053858763475584,
    0.25818372175355453,
    0.29618566842303806,
    0.23961133916614755,
    0.2986667783859776,
    0.24087311572671533,
    0.2859656332980373,
    0.228525462532325,
    0.27724962737098285,
    0.2188579896908169,
    0.26538819324237606,
    0.21227766557162253,
    0.2603176107859267,
    0.2596223920455967,
    0.31810171941799825,
    0.27073157719364316,
    0.28794366434036667,
    0.2421783009271345,
    0.2843690510394948,
    0.24694742190426208,
    0.2756326972134734,
    0.2970970358362545,
    0.28873480316315,
    0.24218233931137614,
    0.2544299001297148,
    0.2690941247375668,
    0.2585682089728733,
    0.2827429362865691,
    0.3115956823052913,
    0.3324789664420425,
    0.30256063808619804,
    0.27465005262335773,
    0.29820281036362895,
    0.26295062063684316,
    0.26255015244712954,
    0.2360374527095055,
    0.25686117844008316,
    0.22741275952159298,
    0.29016150575475746,
    0.2604700709639862,
    0.2758614438005692,
    0.24153525408202509,
    0.25220839062853934,
    0.22469421935573775,
    0.23880461245337387,
    0.2671800740418369,
    0.30692981405428055,
    0.28911851825463225,
    0.27107841274633016,
    0.2576602486875962,
    0.2556363658491434,
    0.2516422851896479,
    0.24333016165869684,
    0.2905868732685686,
    0.294304283155834,
    0.27232037303388346,
    0.2588545996522594,
    0.30707276851168047,
    0.2520360534379271,
    0.30689894513487875,
    0.2913940661092984,
    0.3493733449307147,
    0.2944430407368893,
    0.24709679799572476,
    0.2906735801054965,
    0.23978898434303375,
    0.26410006587255846,
    0.21957717790336412,
    0.25688358638850645,
    0.2692788747461986,
    0.270594044729118,
    0.22247430188895184,
    0.2558917510636734,
    0.25017035758428313,
    0.23869740387354704,
    0.23777309690698178,
    0.2862461652099623,
    0.29718821467741074,
    0.2941001716055036,
    0.2606121458745135,
    0.2646419983889922,
    0.29470332662365006,
    0.25595908963741687,
    0.29309081763839656,
    0.30677856377656654,
    0.3401655882006892,
    0.27134158870394864,
    0.2956800968742549,
    0.303088593546479,
    0.33470374002966674,
    0.2988081102831142,
    0.3394858052526558,
    0.3514603672915911,
    0.38998384611182657,
    0.37182564533311746,
    0.32834435673488016,
    0.3415781686565865,
    0.28986547358593534,
    0.36222275914394225,
    0.3161933705811754,
    0.3276218805709475,
    0.2773646653885583,
    0.338927327324212,
    0.2977610384839764,
    0.297617919126021,
    0.25210132619266623,
    0.3265124374325524,
    0.2850881940381698,
    0.28708127906733877,
    0.2450102643392956,
    0.307331580228394,
    0.28094588820037,
    0.2606383995761069,
    0.2321769466873892,
    0.2916112371616296,
    0.26392394450464507,
    0.24261851839983717,
    0.23283566075152498,
    0.2915115246976428,
    0.26124099364683034,
    0.23562412756784942,
    0.21290455202781058,
    0.2697291309868445,
    0.25007635859808797,
    0.2324238501224167,
    0.26284863920125445,
    0.34193820088335136,
    0.2796406279882355,
    0.31688388036334897,
    0.25299985066653297,
    0.33935448989846095,
    0.2798009838265719,
    0.30717746024101555,
    0.24891061856166075,
    0.2970385766652535,
    0.23968665397316913,
    0.26302482612870765,
    0.20481140600094883,
    0.29260981909288764,
    0.23848161649748364,
    0.2592425756741465,
    0.26298906058597626,
    0.28232255292031455,
    0.24230095457783082,
    0.24332106755237587,
    0.2063253067822883,
    0.2744407496807332,
    0.23873071262402878,
    0.24446825009056303,
    0.260436589345145,
    0.2549262123377544,
    0.2134869852745672,
    0.21054210040447427,
    0.21965762273503078,
    0.24591487720618907,
    0.26461552155939416,
    0.26874182793183343,
    0.2803397173753494,
    0.34473589819697104,
    0.31071670816602365,
    0.30449837314076517,
    0.266380429451318,
    0.3151154495797228,
    0.28283220326083114,
    0.27756688798113804,
    0.24757743217959274,
    0.319641335704828,
    0.2852433776291851,
    0.2689410762648443,
    0.2335988358103267,
    0.28992043617119767,
    0.2586376157368942,
    0.24925744302040503,
    0.2787030043568181,
    0.2864029975493962,
    0.2679942506876725,
    0.23528708472863832,
    0.222654804310712,
    0.2558354072312067,
    0.24706365676537861,
    0.22225844309459852,
    0.2595921894999273,
    0.27450432656972734,
    0.2511709807128462,
    0.2179790611042893,
    0.25332045429086786,
    0.24753453274708054,
    0.2923274507391006,
    0.2528722115371121,
    0.29470803512323107,
    0.3204342899406912,
    0.27020213671779364,
    0.2878677655720895,
    0.2365406159713007,
    0.3013342091926739,
    0.2538026353719793,
    0.2671463440020839,
    0.28488491029395047,
    0.2843925243623535,
    0.23572250751242776,
    0.24003700532545066,
    0.2351715483253279,
    0.26369806731302614,
    0.2706593725622756,
    0.2890584129612639,
    0.3019032667678161,
    0.2647833027686585,
    0.23375077813124087,
    0.22502444816921835,
    0.2481232741049475,
    0.24963236056233679,
    0.27760835138734274,
    0.2715034166543973,
    0.29456149839476564,
    0.24272081088362163,
    0.2635890345847023,
    0.24447096567025978,
    0.26336832704458957,
    0.2842378964946842,
    0.31359996236783155,
    0.29624808307145944,
    0.3181830320039578,
    0.3179958591208588,
    0.27771963134597755,
    0.3034275175821174,
    0.25723456365941044,
    0.3035729251106093,
    0.26204190987817627,
    0.2816802157295755,
    0.24368237286210612,
    0.2903739343066851,
    0.2530286527715508,
    0.2635301158929171,
    0.222168619704729,
    0.2753129511006652,
    0.23691741539870628,
    0.25026514057975685,
    0.26955476018512864,
    0.26393365147953046,
    0.2411352700651289,
    0.23269116817301116,
    0.21451752315965883,
    0.24216783097688832,
    0.23077330697446585,
    0.2250262002110784,
    0.2541591144241428,
    0.24776834262190903,
    0.22332413546768662,
    0.21491680972354013,
    0.2423675925641497,
    0.23305382478541,
    0.2693185571352914,
    0.25408420981932484,
    0.2837890673150231,
    0.3002468352030045,
    0.24329468811404178,
    0.28667144343190326,
    0.22854344443218394,
    0.29065494289150334,
    0.23618949136213652,
    0.2708679897562263,
    0.28048701747645377,
    0.25901575598385335,
    0.2077614736790357,
    0.2356008468214711,
    0.22577946956393308,
    0.2493476434618367,
    0.2487284908172343,
    0.29009578032417604,
    0.29331089221990997,
    0.24835590486543777,
    0.21165237110266968,
    0.2256834069844509,
    0.23924488426043505,
    0.2411999899296607,
    0.2605680339322905,
    0.2757449721196212,
    0.2873806036933193,
    0.2206556593764109,
    0.23447587539652603,
    0.2443433183461638,
    0.25369661478352196,
    0.26871040535608137,
    0.28781810975484334,
    0.3002620640905151,
    0.3067895911677946,
    0.2985983863252755,
    0.2662925753460948,
    0.2724532486143806,
    0.2361777080200799,
    0.26705579053762313,
    0.23669773564191424,
    0.24641054927645656,
    0.2748993285858386,
    0.27553280466373226,
    0.2441810458896787,
    0.2389714477528883,
    0.25867341320356557,
    0.24564845221719456,
    0.2733506925308763,
    0.27787529659018523,
    0.30860604217212034,
    0.25106262855217854,
    0.24081473842865705,
    0.22068296890125313,
    0.26137081878201196,
    0.2263270076873565,
    0.27208551622600735,
    0.24616309695992017,
    0.28814964940054166,
    0.23684396976735977,
    0.28577477696374476,
    0.25239682039695593,
    0.29792479428815355,
    0.26715202158275314,
    0.32142062979360064,
    0.27737036111470387,
    0.32631083194935395,
    0.2827762344762397,
    0.2361217234414174,
    0.26059865217315886,
    0.2642119222434914,
    0.25968000627529325,
    0.270655685347377,
    0.30448027228576263,
    0.32228729591085725,
    0.2485858368527491,
    0.24378477805121831,
    0.2657654330745274,
    0.2728775323802712,
    0.28077264608029534,
    0.2971787030513795,
    0.32792932984362805,
    0.3414045743762494,
    0.23619056018302922,
    0.27024014078994957,
    0.2664348016176859,
    0.29530880299504775,
    0.2781032097494142,
    0.30901423162639,
    0.30865083485068423,
    0.3311226875003999,
    0.269152943585631,
    0.3071361036608873,
    0.28853024875706806,
    0.31738862454808986,
    0.3134748636856838,
    0.3502792505491744,
    0.3358087689504517,
    0.3603041110878763,
    0.35112713889455816,
    0.31912256247576526,
    0.3465106164792193,
    0.3024689302646584,
    0.29744373780192573,
    0.267763570754574,
    0.30190304220652514,
    0.2592711664096425,
    0.3169466058185439,
    0.2845271468608928,
    0.2974167518474961,
    0.25846513280045474,
    0.27663869828084103,
    0.24399445891216603,
    0.2616761175086379,
    0.22390489007169748,
    0.3567462802566853,
    0.32552814123052887,
    0.3094319848394771,
    0.278919060490532,
    0.30161502085543,
    0.2767317694078515,
    0.2696269498308262,
    0.26131288851745277,
    0.32588973483213096,
    0.29188633569756184,
    0.2721535074797309,
    0.2487870363681077,
    0.28146526069762773,
    0.2621998656790547,
    0.2550304158422439,
    0.289708371257832,
    0.32858403344099696,
    0.2735577346799602,
    0.3254293218759083,
    0.26476141964514677,
    0.28680822638882436,
    0.2400707184120584,
    0.28619545836780325,
    0.2334675466880292,
    0.28268455778928175,
    0.23050200371097143,
    0.26847755986160604,
    0.2137609634697674,
    0.2501256916537008,
    0.2035492542435168,
    0.23881167272964093,
    0.24115329557656565,
    0.3317853945247768,
    0.2839880484127226,
    0.2918388786036816,
    0.2505852799087128,
    0.28800620676148436,
    0.25416981943279854,
    0.2730229172029148,
    0.2952908474119207,
    0.2880645296725873,
    0.24224409914345585,
    0.2474284706966166,
    0.2621720188052664,
    0.2568294951751301,
    0.28014276883984907,
    0.29449061320567244,
    0.31263057304919817,
    0.3118971077359606,
    0.2930056831044891,
    0.30444212894040146,
    0.27295440821336975,
    0.25768936131941195,
    0.23785282028140775,
    0.24961543923816554,
    0.22496268732792385,
    0.28568613319842834,
    0.26141376039485736,
    0.26515831117478583,
    0.23462622136843295,
    0.23919683211772289,
    0.21404339882094717,
    0.21900662133484053,
    0.24309513377761363,
    0.31876419175427506,
    0.2996573390303694,
    0.2770344479762409,
    0.26587347514702303,
    0.2578626603691167,
    0.2535136845706766,
    0.24213269530375575,
    0.2851936315313281,
    0.2949123122514897,
    0.27042684636962394,
    0.25352210699116,
    0.29728631748055534,
    0.2510128088668417,
    0.297577212077174,
    0.2740989143920818,
    0.3189273813010208,
    0.2948467364887818,
    0.2562172878342274,
    0.28965656868401096,
    0.24315752303415877,
    0.2509065383402117,
    0.21497802310726416,
    0.2423994161456001,
    0.25851974508287745,
    0.25853468366960924,
    0.21774968586098756,
    0.24027374782265257,
    0.24116843315608613,
    0.21899490798075447,
    0.22464940298254726,
    0.25610965530733637,
    0.2648171201924504,
    0.29916108085745163,
    0.2656132463405075,
    0.26862154864669496,
    0.300790205359517,
    0.2557410524615576,
    0.29122938899806394,
    0.2977349377273521,
    0.3281123650761912,
    0.2646988509835361,
    0.29067571967187217,
    0.28978433041220164,
    0.31944609682670244,
    0.28991112174180544,
    0.32440054581644495,
    0.32255276108693626,
    0.35055278504702125,
    0.3057023681661242,
    0.2717437693012354,
    0.30649463392850684,
    0.26659748758024093,
    0.25613572308210064,
    0.2254470844249446,
    0.26263176022372686,
    0.23078546292922578,
    0.2764438870709699,
    0.24367836648039218,
    0.26650720679907675,
    0.22868335879556087,
    0.23574093136763669,
    0.20375776506094537,
    0.2326292322184605,
    0.25088535814576535,
    0.3079828272625187,
    0.2823970773923689,
    0.27619936337775614,
    0.26066222658055516,
    0.25262237074873933,
    0.245645418377233,
    0.2532249691136884,
    0.292376498965593,
    0.2821624894978958,
    0.2539820344795826,
    0.25506100968933354,
    0.29231507619161484,
    0.24551650529607222,
    0.28697898692505364,
    0.28755090107001374,
    0.3290663391109102,
    0.29319032795942984,
    0.23893994615779865,
    0.29294675069139214,
    0.2370286449558003,
    0.2515407853139301,
    0.20523013245662056,
    0.255399457555649,
    0.2653364582591914,
    0.25019718250776235,
    0.20088937381842015,
    0.24298378702310416,
    0.2372767842107595,
    0.21477604763834912,
    0.21276763733160592,
    0.2713040544972888,
    0.27357961728319113,
    0.2929334810647948,
    0.25028674693765574,
    0.27154822016246194,
    0.29273233744470994,
    0.25384728196340534,
    0.2826361926743099,
    0.3099535923742394,
    0.33580318372742635,
    0.2531564004472857,
    0.27064354167324667,
    0.29379235544647847,
    0.31257680070402993,
    0.2817998595252202,
    0.3095794534635294,
    0.3374315850928221,
    0.36183799569884567,
    0.2793174649931878,
    0.25461796998511715,
    0.27443146207264424,
    0.24294420057306934,
    0.22655750364751193,
    0.20326021114932413,
    0.22662002162449957,
    0.2544279955292413,
    0.2533343428807113,
    0.22711574075739138,
    0.24078679050194202,
    0.26429945581950354,
    0.2067627652264184,
    0.22896543625304364,
    0.2520784749996083,
    0.2762546635211179,
    0.281433088284932,
    0.2696369492043821,
    0.2615452236827867,
    0.3143463695283364,
    0.22925431584742426,
    0.28294719319245887,
    0.27110255470641004,
    0.32478481866988124,
    0.25885513711908414,
    0.3128292386792381,
    0.3010072981421341,
    0.35936999688506727,
    0.27398349616162215,
    0.33245098637533343,
    0.31265621354426676,
    0.3737269224066539,
    0.2682259851321929,
    0.22627803440567193,
    0.26411802652852256,
    0.273215700688292,
    0.22342465297379907,
    0.23316904811905712,
    0.2810664390453686,
    0.29676456823080594,
    0.23205017043999057,
    0.2282024636704814,
    0.2728394107995211,
    0.28472436260930417,
    0.23700130229442812,
    0.24789250136437593,
    0.29902119589691933,
    0.30666577825156277,
    0.2682108741208515,
    0.30732951015201915,
    0.3184551884520971,
    0.35970666213112285,
    0.2861036958613044,
    0.3302775642336141,
    0.34125331710013823,
    0.38183034261886256,
    0.2978978222056002,
    0.3427556854234871,
    0.35034014865263285,
    0.39534357310779916,
    0.3215898955226065,
    0.36872933112930156,
    0.3780010511636677,
    0.42349511042868715,
    0.3428327894526592,
    0.3055286325017346,
    0.3100007517295573,
    0.266195663747098,
    0.3077456610540563,
    0.2722550872777309,
    0.2804324689722952,
    0.24784461169581923,
    0.29844058633395704,
    0.26397218444790316,
    0.2602758857638869,
    0.22091165455401196,
    0.2688766009051106,
    0.23508624333694714,
    0.24288489283125891,
    0.2613053481524411,
    0.28631225441026864,
    0.26268481676582767,
    0.23816435654800716,
    0.22545360580543977,
    0.253678157426611,
    0.24550703214571243,
    0.2304550904101911,
    0.26312665443275873,
    0.25443087017893584,
    0.23170992023182616,
    0.21213420407121408,
    0.24029351051237294,
    0.2354190820705193,
    0.2710174499651366,
    0.24721844276470373,
    0.2761691673541876,
    0.3164567153483182,
    0.25861000847196774,
    0.28651007715408633,
    0.22844907057889388,
    0.2883085933220277,
    0.2372892018828368,
    0.26482714402121244,
    0.27421499908838215,
    0.2616222031325054,
    0.21123770196075384,
    0.22980619857736828,
    0.2222729784586413,
    0.2400485748160523,
    0.24436166513445304,
    0.27603906767246533,
    0.27718290967897113,
    0.2616704009314207,
    0.22385140968210285,
    0.22673578361103242,
    0.24199520669371719,
    0.2475157014294227,
    0.2690238355626352,
    0.27128490942956557,
    0.28611469457198835,
    0.22004378691506388,
    0.2356328568261161,
    0.23429877669443708,
    0.24307639910557663,
    0.2638397147541275,
    0.28255985367047703,
    0.28201674617767325,
    0.28865664594140283,
    0.31107656950276036,
    0.2834333421264834,
    0.27296758995424303,
    0.24025864653977824,
    0.26687348423797586,
    0.24146615474905214,
    0.24453902996104437,
    0.27407489983685057,
    0.27379361559749965,
    0.24617260420175374,
    0.2293284137823288,
    0.2544625965568372,
    0.2354697534849129,
    0.26700274759965914,
    0.2615475856869911,
    0.2879464474524885,
    0.26321168210844,
    0.25420295854448555,
    0.22569699206734958,
    0.26804406520861707,
    0.2331862498331432,
    0.2789748483971201,
    0.24750045178148194,
    0.28948706607110336,
    0.23977591131550488,
    0.28600490073819357,
    0.24465733607575482,
    0.2874127685942571,
    0.26550804822666313,
    0.3125586450784557,
    0.263265837160998,
    0.30330771780308335,
    0.2894647782460734,
    0.24465550796813518,
    0.2559509858476297,
    0.26504459881153236,
    0.253085825169053,
    0.2696725377981184,
    0.2925298368795586,
    0.30913223616129265,
    0.2429566460328647,
    0.24409351266411405,
    0.2556782150462113,
    0.26397879921450057,
    0.2670942234782682,
    0.2837908777802226,
    0.3020000080972949,
    0.31051611259288275,
    0.24303223643966718,
    0.27775045554391176,
    0.26470768002609774,
    0.2942415246929296,
    0.278999700056843,
    0.31047244698140464,
    0.29883138999140196,
    0.3230280229574607,
    0.2656742205457329,
    0.2992955121389604,
    0.272855983599039,
    0.2981678196579647,
    0.30268252172804777,
    0.33388684915538064,
    0.30754757968538265,
    0.32485899607893653,
    0.29450685301207696,
    0.2600882238091649,
    0.2753643561858384,
    0.23650292462843897,
    0.25962289011781686,
    0.22949613712561345,
    0.25210795725201596,
    0.27548980451115695,
    0.2577204076135799,
    0.22487124840179185,
    0.2303135767613976,
    0.2486013307733758,
    0.22578384914794933,
    0.24955985477039,
    0.267251239477492,
    0.28534142258746625,
    0.24711694196299153,
    0.2336307948094673,
    0.2258180139499175,
    0.2604787520041026,
    0.22607088276378737,
    0.2655696798194228,
    0.2536564514836457,
    0.2896213311988427,
    0.2227890833802764,
    0.259275021978149,
    0.245605220643152,
    0.2789007416981101,
    0.2513135590686545,
    0.2915660257934307,
    0.268598360900147,
    0.2990081783457281,
    0.2757873424086177,
    0.2238959749615339,
    0.25712917541862806,
    0.2602719740431179,
    0.2462304639950225,
    0.2563287262343256,
    0.30003428582061414,
    0.31028257960894323,
    0.22775227715779764,
    0.22131659089542738,
    0.2575368944391698,
    0.257126498536854,
    0.25670686337919535,
    0.263423458413688,
    0.3083295265972638,
    0.30852940132286333,
    0.23182906931093072,
    0.25425397207601874,
    0.26597741304362227,
    0.2832778063703087,
    0.2716120567466242,
    0.29486460753653676,
    0.3058610168964682,
    0.3203458495445965,
    0.2473226793343026,
    0.26762602448229167,
    0.27605671380011054,
    0.28823126589824677,
    0.2866606535239769,
    0.30807477344323353,
    0.3155324879535082,
    0.3183997420397398,
    0.2718756495630092,
    0.24473956307820763,
    0.24641326333706481,
    0.27705287018877733,
    0.23063312745312306,
    0.26435669209052554,
    0.2751525982340177,
    0.3076895171738293,
    0.23890747676378404,
    0.2628780091110215,
    0.26404145346119595,
    0.294071397734724,
    0.2567385508219228,
    0.2889688817867174,
    0.2914383314525514,
    0.320085509874818,
    0.23762642597612021,
    0.29371444540457836,
    0.2642589893510059,
    0.3188158141534733,
    0.2524560683729128,
    0.30715800059250487,
    0.27293172065126037,
    0.3235817331891606,
    0.27078540891264147,
    0.33116430960542476,
    0.28869995802588455,
    0.34840584010961434,
    0.28521084452833795,
    0.3452590871998355,
    0.288000052791445,
    0.33809731303253776,
    0.2552493235894195,
    0.26254767489615616,
    0.29432013533503354,
    0.3110430161470112,
    0.2799199958357962,
    0.29945926072391704,
    0.335440176443241,
    0.35575166711779815,
    0.25962713440010843,
    0.2764207490106963,
    0.3006763428612195,
    0.31109269574443543,
    0.2964979142993963,
    0.31251628541615395,
    0.3447999924673628,
    0.35591825033494257,
    0.2801405725886194,
    0.32644306711345744,
    0.31547368815457416,
    0.3578312286568912,
    0.30916725135825157,
    0.3484530437477571,
    0.34139691793015264,
    0.37137703102776715,
    0.30563350230583336,
    0.35580928744036755,
    0.3307862506960007,
    0.3758014568583302,
    0.3343346986933878,
    0.3783717937164571,
    0.35271942061653594,
    0.37701914951119825,
    0.42767123226958575,
    0.3786325691238026,
    0.4034677984686,
    0.34329635131390007,
    0.38249163834590594,
    0.3423677511076232,
    0.3692963738550867,
    0.31675017000571287,
    0.40398622065250156,
    0.35660464837461525,
    0.37139448875155706,
    0.31684240335344155,
    0.37028583280773697,
    0.32787112759758547,
    0.3438651094832679,
    0.2934715818093287,
    0.40409254404543804,
    0.3703925738150994,
    0.3442372725420794,
    0.3107851929459928,
    0.3472512529928798,
    0.32244230778781474,
    0.30681744851214066,
    0.27787786226220956,
    0.39147373163087823,
    0.35449957267962917,
    0.32749185671330056,
    0.2934253402904479,
    0.34313796183789164,
    0.31438629534206547,
    0.2932735151934358,
    0.2823344264346571,
    0.37467358454598976,
    0.31631108500274246,
    0.36408631049582524,
    0.29711934625822234,
    0.35491359352611307,
    0.3013989494303654,
    0.3428869112454455,
    0.2823973547251628,
    0.3461684107789163,
    0.2881729959547702,
    0.32435505867262193,
    0.2613717160069755,
    0.3295093248645093,
    0.27569661154033387,
    0.3088891596264402,
    0.25010962579751567,
    0.36431244324051654,
    0.3193807913595857,
    0.31817595732033294,
    0.2727998338642277,
    0.32843601665696803,
    0.2875179636663697,
    0.2917156032299195,
    0.2646597913548352,
    0.34173789875343114,
    0.2959356191945302,
    0.29123428801479384,
    0.24793558244359049,
    0.308719387775958,
    0.2726043416557896,
    0.2814113884711456,
    0.30659411159008,
    0.35662441807478135,
    0.33563945780876825,
    0.33629949229376893,
    0.2998240434262419,
    0.3028200803870761,
    0.28792308216689794,
    0.29038328898453314,
    0.26174878752033937,
    0.350280337309613,
    0.32076106477793753,
    0.32083803738945427,
    0.2834154547599803,
    0.3021125399274674,
    0.27917288891457975,
    0.2789138540481625,
    0.2486499688697255,
    0.3517376621594169,
    0.3365139210713059,
    0.29701749087500684,
    0.27777298994422894,
    0.2875386996665632,
    0.2787074770879167,
    0.24967952547363545,
    0.253889449854384,
    0.34652305922755616,
    0.3237452656123757,
    0.2869693523502882,
    0.2722460476437546,
    0.2885032134893179,
    0.2841737554906588,
    0.25917313197553654,
    0.311274307407479,
    0.32746338788651386,
    0.2896049000148683,
    0.3151044024379553,
    0.26577462473588886,
    0.29308519310480924,
    0.25902788733241144,
    0.2806337686554881,
    0.2380077236066301,
    0.31123241216827563,
    0.2670713764919412,
    0.28714197829268645,
    0.23815530072419178,
    0.27790211260313896,
    0.23875420258243774,
    0.2571061895685417,
    0.27126407881457615,
    0.3244349500615603,
    0.29538772788483836,
    0.2805851471498969,
    0.25192155534210253,
    0.2783925270526006,
    0.2581938073612785,
    0.25810657153919947,
    0.29127346872749404,
    0.30919220134995956,
    0.27522336286071414,
    0.26086643386062125,
    0.29228250052305904,
    0.27002712660172484,
    0.30943559961328304,
    0.3051875135962757,
    0.34099445589558425,
    0.3658258905695286,
    0.3230254980889079,
    0.35558557178897143,
    0.30783461133517687,
    0.31539926952515457,
    0.27984040777892794,
    0.3127627518069889,
    0.27110703218184895,
    0.352912440427864,
    0.3094959623964392,
    0.3327372013896142,
    0.285786071910481,
    0.310423736221633,
    0.271552130396591,
    0.29532432324706764,
    0.2553606121681016,
    0.3415457547178999,
    0.316054268870273,
    0.307235166034437,
    0.277630489238215,
    0.28484451620113654,
    0.26573556539017107,
    0.2625426136376731,
    0.26026308917903196,
    0.33524450336041367,
    0.3052397379253896,
    0.29466139690168414,
    0.2755429582666368,
    0.2851525906164812,
    0.27413434639065953,
    0.2752574724734611,
    0.3208662981850057,
    0.337557737911275,
    0.2819992958390427,
    0.3312852491249029,
    0.27356368597458874,
    0.3031968460438944,
    0.25317331393230386,
    0.298337439058641,
    0.2472195241433228,
    0.31270296565830524,
    0.25844548230409686,
    0.29787334226110107,
    0.2411911673969169,
    0.2819325727516392,
    0.23189282363081856,
    0.26997747254057475,
    0.2786028028488323,
    0.31886465440509437,
    0.279533031167089,
    0.28971044577811134,
    0.25470362777213557,
    0.2759823138495007,
    0.24829401336368767,
    0.27111738171684235,
    0.2987473771367095,
    0.29970545269581206,
    0.2594577915205332,
    0.271030655820422,
    0.2965711095923286,
    0.26689829395929965,
    0.29757698096844015,
    0.32258727994935554,
    0.35271795462360106,
    0.3208946023760977,
    0.29370152719362674,
    0.30522597984225935,
    0.27188898269983924,
    0.2597899926075725,
    0.24041777891537955,
    0.25242287639911326,
    0.23102693709245867,
    0.3137020805770577,
    0.2814909679849515,
    0.2926504817222427,
    0.25686536833140755,
    0.2592210353172669,
    0.23370881664530913,
    0.24692171394735787,
    0.27891324574652043,
    0.3069000151892928,
    0.29471864206434345,
    0.2693842779446583,
    0.26500883895491106,
    0.23971549840445405,
    0.24802100615692216,
    0.23408510914107403,
    0.28716576806680955,
    0.3014879975859093,
    0.28558919333178473,
    0.27051008062221643,
    0.3260309466217448,
    0.2520578927555794,
    0.31254776374188087,
    0.2942682234263171,
    0.35996789771439675,
    0.30286897541087276,
    0.2609235132521333,
    0.29151115562727403,
    0.24542667442428112,
    0.25701147983975614,
    0.22042069431499103,
    0.24916628189299375,
    0.2697485572313681,
    0.2845184380760039,
    0.23983395248397826,
    0.2664839300421875,
    0.26953365962829895,
    0.24163651649340248,
    0.25043874398829097,
    0.29202100604113934,
    0.3090883346993984,
    0.2897221970503126,
    0.2630432830492355,
    0.2640669235619281,
    0.3011976220545888,
    0.24445142508430917,
    0.28507832856588367,
    0.2940914970777787,
    0.3330799950629311,
    0.27371984690092277,
    0.31270008583683256,
    0.3132656949079178,
    0.35609361223270336,
    0.297270049706941,
    0.34333373347420454,
    0.3534147036505522,
    0.4012685575986113,
    0.41658624599491195,
    0.36943186563772734,
    0.3828008532434094,
    0.3272226626520465,
    0.3914114632438414,
    0.34711225105544274,
    0.3569754395912014,
    0.30768177562197097,
    0.38699269159723704,
    0.3426872726752809,
    0.34307773474717607,
    0.2929639680313944,
    0.36567132917449,
    0.3234374617951999,
    0.3216127946587762,
    0.283898783944164,
    0.32158828287165275,
    0.2992348734118549,
    0.2719034882109539,
    0.24625296575116698,
    0.30258166854223945,
    0.2780640527400705,
    0.2514807701837487,
    0.2506215903089779,
    0.3118308514413041,
    0.28506713957731655,
    0.2530596350760433,
    0.2381792873564858,
    0.2903908219776742,
    0.2782601520937737,
    0.2527377099667409,
    0.2919488476218628,
    0.36940812594341826,
    0.31005226660465207,
    0.34455169366169114,
    0.2818339097629078,
    0.3568847660389186,
    0.30043481064771105,
    0.3255173757754834,
    0.27360785718937236,
    0.3316345570386206,
    0.2760532113960853,
    0.29613319847521025,
    0.23818883960167206,
    0.32171337951736756,
    0.26810503483957016,
    0.2866979982879469,
    0.30061670515126915,
    0.2902516044443368,
    0.25560488470346393,
    0.2501109887346364,
    0.22160513899124626,
    0.2815958349383203,
    0.25294509405159454,
    0.25471393829678296,
    0.27627755405328974,
    0.27022439041506446,
    0.2334990298271096,
    0.22735907477234757,
    0.2462306734114332,
    0.2674936619704687,
    0.2946170914416927,
    0.2887063690988404,
    0.3096811054340656,
    0.36572261098991365,
    0.335309385361337,
    0.3261278735324445,
    0.288788124043728,
    0.3188387953161787,
    0.29530455791696575,
    0.2883504982712172,
    0.26753267944243186,
    0.34776526530802204,
    0.3153760724562638,
    0.2967697821129697,
    0.26073259620725353,
    0.30566940856909225,
    0.27942292029479027,
    0.2722672118323729,
    0.3111273257374449,
    0.28933345448432973,
    0.27695610895548994,
    0.2346849388503314,
    0.23223052111898168,
    0.25320254648719687,
    0.2560827449948686,
    0.22506044094808828,
    0.27092918788063614,
    0.2823839115112731,
    0.2685171774277412,
    0.2278412128143158,
    0.2722346065127692,
    0.2583144856437008,
    0.3125619204383439,
    0.2648881190996669,
    0.31827732907385664,
    0.3328460784430336,
    0.28774316866154476,
    0.30186459982874975,
    0.25312777104416345,
    0.2987424413362101,
    0.2583744193280652,
    0.27542893072842756,
    0.3001382025186525,
    0.30496252406074537,
    0.25972935574327,
    0.26031102195450534,
    0.2660181870773316,
    0.27445753547651164,
    0.29175561043376724,
    0.30995513160573496,
    0.3318091602385159,
    0.26432453557275576,
    0.24007180766030337,
    0.22685166413722838,
    0.25616798725340584,
    0.24950931752751945,
    0.2836298397008067,
    0.2727192130018902,
    0.30274172743316197,
    0.24725005652126997,
    0.28167592715976847,
    0.25240211313638267,
    0.28130311088445736,
    0.29502412243600096,
    0.3335740366426771,
    0.3072127924925843,
    0.34075023945857325,
    0.3613345182374921,
    0.31768452673170244,
    0.3412606617426372,
    0.29330856941026723,
    0.32816800514754335,
    0.2876324124577977,
    0.3052463689184402,
    0.2749501007558095,
    0.33961620649614815,
    0.29696589586501815,
    0.30454792035861333,
    0.25937566281070495,
    0.310003634321975,
    0.26914720231374195,
    0.28340793940407116,
    0.3113003844174096,
    0.2730970670970189,
    0.25148575283439945,
    0.24172316381173925,
    0.23016567470179264,
    0.24761090260591842,
    0.24150091852782254,
    0.23681382799978345,
    0.2709400882127446,
    0.266283559395459,
    0.2464622056782742,
    0.234576856971756,
    0.2678999826750245,
    0.2553799057062601,
    0.29550604600775576,
    0.2768917456922047,
    0.31352929039245836,
    0.32946285619745147,
    0.27399180636963677,
    0.31324237836160784,
    0.25716910997811615,
    0.30577709033789624,
    0.25358411129066183,
    0.28985365432868193,
    0.30843918539039594,
    0.2967843692017494,
    0.24463318311171056,
    0.26691386472694933,
    0.2692699494858981,
    0.2755463655325786,
    0.284171349733746,
    0.32152258573560333,
    0.33472334691135575,
    0.25194977684048103,
    0.2213695221917094,
    0.23501964706802175,
    0.255333633568057,
    0.2480854897546997,
    0.26964802482009137,
    0.2861170989759718,
    0.30303245129417455,
    0.2342809748858086,
    0.2593195643491056,
    0.2624837141540167,
    0.2817199640902912,
    0.2923660699689891,
    0.3167321681111734,
    0.3232978532674376,
    0.33908521610439296,
    0.3259303162414902,
    0.292952847804943,
    0.2958995916828514,
    0.2603682398353963,
    0.2742316901628024,
    0.24942657601974785,
    0.26146506991552776,
    0.29920704518740265,
    0.30942495174389534,
    0.2749893456382285,
    0.2667398290441904,
    0.2964386407921626,
    0.26287049906956395,
    0.29994555570592446,
    0.3044442148467879,
    0.3444989146171073,
    0.25085234935827233,
    0.24781040387041395,
    0.22421724471237967,
    0.26989694213331944,
    0.22377056609648435,
    0.27135179635923745,
    0.24759372547555772,
    0.2933805930252104,
    0.24838816564545732,
    0.3024386507730854,
    0.26234661888845484,
    0.31405539621120054,
    0.2764061109616072,
    0.333469461886029,
    0.28888657390544636,
    0.34296274391890286,
    0.301909777537177,
    0.2559649252583914,
    0.27716027730174453,
    0.2922038231394144,
    0.2608196414032741,
    0.27996912293266635,
    0.3152641751230682,
    0.3415990352844797,
    0.27500035598198525,
    0.2778416681507434,
    0.29749093196529713,
    0.31371458477313885,
    0.3002100465063162,
    0.3214497263180869,
    0.3527072332422459,
    0.3758984027255645,
    0.2349893825302888,
    0.27400442430892996,
    0.26767679639450015,
    0.30142285752460984,
    0.27297792757096573,
    0.30320965561262736,
    0.3078720560863574,
    0.332576938207866,
    0.27831559197686967,
    0.32259432153777445,
    0.29486365510755064,
    0.3323170987753944,
    0.3221860924357021,
    0.36184734152320774,
    0.34577502213953715,
    0.3770861916260108,
    0.3982369865899431,
    0.3573591028732332,
    0.3735028464059463,
    0.3221831858167039,
    0.31995734684314314,
    0.29384041500737473,
    0.31350887139652517,
    0.27219467317734175,
    0.3574376587878502,
    0.3196768277344984,
    0.32940672618262,
    0.28355800769037537,
    0.29929350357038403,
    0.26974872200368466,
    0.27861743544239614,
    0.24460236745767414,
    0.379427949855814,
    0.3488401160014104,
    0.32235979121548924,
    0.29109608228832684,
    0.3007632861615356,
    0.28186388525258443,
    0.2655979908039468,
    0.26545402037785376,
    0.3500291124064218,
    0.3184487906192668,
    0.2914176596264445,
    0.2736629062691651,
    0.2865896960569634,
    0.2793357431527876,
    0.2634843476311994,
    0.30522246483986926,
    0.35522480612941354,
    0.3015068494259992,
    0.3386820278035485,
    0.278161592364092,
    0.300192658198123,
    0.25919062465425796,
    0.29047548748049024,
    0.24462051739920207,
    0.305991327977124,
    0.25779210736401703,
    0.28677806086831714,
    0.233127255562036,
    0.26517548073250397,
    0.22478570838845946,
    0.2497976153175836,
    0.2615272153641727,
    0.3442002670522864,
    0.3012487181833259,
    0.2963905601509583,
    0.26303428398710105,
    0.2850093629945917,
    0.26202055370289973,
    0.2702305256981339,
    0.2977540634475549,
    0.3017201407879389,
    0.26260999199257457,
    0.26246338581114703,
    0.2870319878553357,
    0.26429073975118655,
    0.2977488063131034,
    0.3006123808830299,
    0.32896373819847463,
    0.32945360686299036,
    0.3113877042228388,
    0.30793093349254463,
    0.2762490919637883,
    0.25965494690131935,
    0.24873191439614198,
    0.2483662396491708,
    0.2313253237671472,
    0.30395640649764427,
    0.2812657182533412,
    0.2778066448606656,
    0.24656612881490667,
    0.24705942055946153,
    0.22939565488609864,
    0.2304018795130055,
    0.2619637588039389,
    0.32537582645027713,
    0.3117753547621637,
    0.27438879246178766,
    0.27165214506366403,
    0.24898117517541266,
    0.258597982915852,
    0.23557027990495844,
    0.28562921922469703,
    0.30512094138927615,
    0.29171135639588314,
    0.2632064117465702,
    0.3152271623661751,
    0.25451486038818866,
    0.31284032778161724,
    0.2779283527334171,
    0.3350913184677306,
    0.3017223664790803,
    0.2679295512165726,
    0.2865854688804937,
    0.24270329357603881,
    0.24850408159662296,
    0.22132044736211196,
    0.24022650518991898,
    0.2619038083908455,
    0.2667228381436563,
    0.23166900773671295,
    0.24589479821530902,
    0.2546610022815296,
    0.22264503120776385,
    0.24268116252501068,
    0.2641817162677878,
    0.2828756884945207,
    0.29938810093150797,
    0.2737562636848493,
    0.2658253733572547,
    0.30353492932699844,
    0.25018002288727953,
    0.2933366453775205,
    0.28706314913735154,
    0.32487139178763247,
    0.2678566435188113,
    0.310600887039783,
    0.2959982469519482,
    0.3366481341852108,
    0.29075909379117243,
    0.33787068653487046,
    0.3234442777438195,
    0.366174950770512,
    0.3476964312121271,
    0.3077485834675623,
    0.33172424767731906,
    0.28832288783100746,
    0.27336583865545955,
    0.24614361775066682,
    0.2708339921455577,
    0.24612858010302643,
    0.3176686960311318,
    0.27845565148885804,
    0.2962319046255323,
    0.25393626405144165,
    0.25618981475398783,
    0.2255782119469462,
    0.24921651447098914,
    0.2734925700718409,
    0.3253355782328276,
    0.299234101959811,
    0.28868640047414257,
    0.2777612927612249,
    0.2507260551359077,
    0.2526910404461018,
    0.2546634869616407,
    0.29986514043172785,
    0.3047110844032505,
    0.2822259669228079,
    0.28047665566398927,
    0.32508903984679893,
    0.25659633682553434,
    0.30538373537349073,
    0.30085838776579876,
    0.35237291544558086,
    0.3197820181204778,
    0.26755095654642297,
    0.3072940350647568,
    0.2539297144042796,
    0.26222732791487746,
    0.2212714365469579,
    0.26177220040883137,
    0.27957776530329115,
    0.2771548328429528,
    0.22979011800370114,
    0.2622250703820984,
    0.26656499831321884,
    0.22943414579402074,
    0.23979159154717603,
    0.28523089093317816,
    0.2970375634613814,
    0.3021948300128055,
    0.26497843365577556,
    0.2813002974659424,
    0.3101902186459561,
    0.25421585163927635,
    0.2880824256360246,
    0.30855045101318723,
    0.34238472886339594,
    0.2670699464876847,
    0.29957636101402335,
    0.3156331949463546,
    0.3476939678423652,
    0.29190979090343894,
    0.32877634639685294,
    0.349945854955634,
    0.3883746005248701,
    0.297945997253456,
    0.2725346751693546,
    0.27941140899963873,
    0.2490899579137975,
    0.2271476640944752,
    0.2113495279550563,
    0.2271406535499493,
    0.2614044693120383,
    0.27530042068362437,
    0.24680317785718084,
    0.25383301420852017,
    0.28320265265195377,
    0.2142686262035093,
    0.24741526622615095,
    0.26255389513947197,
    0.2951527287793918,
    0.28303989466131274,
    0.27975326985160565,
    0.2624307528509088,
    0.31914472781608577,
    0.22230546646372465,
    0.28219709267348636,
    0.2633071329337072,
    0.3248497608276237,
    0.27201846573346655,
    0.33311795597902233,
    0.31321260886666624,
    0.3799899912987228,
    0.27640017665672034,
    0.34492792620530377,
    0.31784349857912586,
    0.39312882390902343,
    0.2776809961415435,
    0.23917573032090633,
    0.2634300150733855,
    0.28035232960616885,
    0.2204927045187359,
    0.24156710066486176,
    0.2773394390961319,
    0.30148995131284273,
    0.2445826786723918,
    0.25018315461219065,
    0.28561369212073606,
    0.3044143198132409,
    0.24592337899257435,
    0.2666368450757144,
    0.3062906831548052,
    0.3259015556370478,
    0.26586614796481683,
    0.314691549886273,
    0.31430827026914254,
    0.3616646440678712,
    0.27531970693487207,
    0.32456120363792634,
    0.32857914658224535,
    0.3777951081218392,
    0.30667538484605994,
    0.36121520581160693,
    0.35875538421844505,
    0.41679948971300634,
    0.3211877112348686,
    0.378883320544897,
    0.38103828598656164,
    0.44462223571963655,
    0.387695261179251,
    0.3455688834718591,
    0.350593390220726,
    0.30179739166324127,
    0.3292668563409086,
    0.296715040432894,
    0.3039925241710623,
    0.27903097501678037,
    0.3444487737399868,
    0.3064446484391577,
    0.3021646704052441,
    0.2591792532691499,
    0.29651787037108995,
    0.2668012611649026,
    0.2744319297248942,
    0.3034330743533976,
    0.30743081491388335,
    0.28384408282107815,
    0.25405115395246197,
    0.24738283074808412,
    0.26286914848489507,
    0.26297703261814415,
    0.24472746889957106,
    0.2852075991910962,
    0.2778976209342406,
    0.2615892708237543,
    0.23613453124225425,
    0.2729618549746224,
    0.2563794854414989,
    0.30120182264110645,
    0.2694012106222342,
    0.3105265182927384,
    0.34711907749928317,
    0.28989923642008714,
    0.3155315035904038,
    0.25688199325382577,
    0.3019909284017954,
    0.25473094287231646,
    0.2853488925084671,
    0.3036151956771433,
    0.2953731930316572,
    0.24605700443490197,
    0.26071938389555194,
    0.2657156158723552,
    0.2605463614145396,
    0.27734810627535655,
    0.30603837076502577,
    0.31965425999178465,
    0.27625247111761475,
    0.2439634625371676,
    0.24294061189166502,
    0.26369283498544954,
    0.25868604722756905,
    0.2859539026836971,
    0.28543377494596883,
    0.30750723231846,
    0.24037915417318295,
    0.2662561793120303,
    0.2572702257617379,
    0.27699276489784863,
    0.2857592302697911,
    0.3150323723170434,
    0.3050206097630041,
    0.3253800526773739,
    0.33313300242771154,
    0.3072254372953825,
    0.29399276154498755,
    0.2637690730628864,
    0.2718198029680913,
    0.25663240795618075,
    0.25980004558473585,
    0.299474419052249,
    0.3015627026975562,
    0.27521681262577974,
    0.25578776785140417,
    0.2902224508028804,
    0.25144676139289485,
    0.29637253126707735,
    0.289271043079984,
    0.3302635026844672,
    0.27011242971384786,
    0.2690920364288461,
    0.23310227120585214,
    0.281475082090145,
    0.23699142085932262,
    0.29128869289737014,
    0.2538860020966559,
    0.30676262915450864,
    0.2552224788685409,
    0.3103800642780431,
    0.25846912215441126,
    0.3115187348378787,
    0.2794181907959931,
    0.3395971147695556,
    0.27996506845166536,
    0.3379331433153049,
    0.3032749912316863,
    0.26180169754391946,
    0.2696085864088604,
    0.2885201681959055,
    0.2528992723705415,
    0.2805633820082057,
    0.30445671408033986,
    0.33091157123960563,
    0.2630325200438929,
    0.27496145740608097,
    0.28311840283968825,
    0.3007428901119223,
    0.2828461747955074,
    0.3107005636239648,
    0.3277577710530662,
    0.3515403100521349,
    0.25011023607243393,
    0.29027868451765804,
    0.270017592639521,
    0.30507090516238383,
    0.28101653366737717,
    0.31973110909640723,
    0.3038872772223464,
    0.33794254915730926,
    0.2787170848672427,
    0.32219182497126486,
    0.28365942454712195,
    0.32047127273837395,
    0.31546302903867035,
    0.36041543884359617,
    0.32319731144135666,
    0.36072409653234594,
    0.3411170323509147,
    0.3003988820387511,
    0.31385591584003636,
    0.2760896633308487,
    0.28177014981285614,
    0.25633295635160175,
    0.2792105897763957,
    0.3130648321647478,
    0.306028690547925,
    0.26653939373981844,
    0.2719655996353541,
    0.2986517799908521,
    0.2577113416882675,
    0.2886549171220059,
    0.3031476712811878,
    0.3330816252583694,
    0.2635805439762395,
    0.25283229249309674,
    0.24474146564208282,
    0.28301515549818,
    0.23678401927190187,
    0.2798770196979134,
    0.2698488912138288,
    0.3128882434763203,
    0.2496342247216292,
    0.29080567019512005,
    0.2730661319704487,
    0.313248659967632,
    0.27559462356235004,
    0.3220299219804727,
    0.2943895204271235,
    0.33666732122417337,
    0.31031660758566193,
    0.25659998940229933,
    0.28605683115147024,
    0.3016911137835106,
    0.2636225935200162,
    0.28206562683932795,
    0.32468332525880317,
    0.3466140370022469,
    0.2649274290764678,
    0.2680997078301191,
    0.3004730586667341,
    0.31151884319443657,
    0.2879527377122331,
    0.3036352247402771,
    0.3435192904504211,
    0.35846451824604775,
    0.24708030020289756,
    0.272765406108696,
    0.28372134279585287,
    0.3063629774979562,
    0.2821910154232799,
    0.3082787250140537,
    0.32203362299865673,
    0.3441172672729548,
    0.2727551430736101,
    0.30063158321006567,
    0.3019153928188079,
    0.32570664005803596,
    0.31269294105677786,
    0.34239847189824263,
    0.34361660337379274,
    0.36292353689387175,
    0.2991513662002701,
    0.269704510379025,
    0.27237256812789545,
    0.30933933775141476,
    0.24232140606193273,
    0.28306224984858597,
    0.29430590356823094,
    0.3390922797266903,
    0.2708886519666211,
    0.30193729610559567,
    0.3005322761052667,
    0.338151111689816,
    0.2817668047107816,
    0.3232207759684084,
    0.32347120262524415,
    0.36796618993563396,
    0.2446613718703372,
    0.30201610236822807,
    0.2701053891498639,
    0.32733879002071403,
    0.25203012096994015,
    0.3084639591154562,
    0.27793027731115355,
    0.33393149727381133,
    0.2873235177414994,
    0.35193262841155326,
    0.3011374042847407,
    0.3670261839929934,
    0.29815914057860055,
    0.3644136656781555,
    0.3039786471009244,
    0.3665945640187004,
    0.27484023402473134,
    0.2892488110002142,
    0.3185336484485146,
    0.34301401951697874,
    0.2882831462952796,
    0.3137211669138338,
    0.3508892382469712,
    0.3835935808156138,
    0.29362892886658515,
    0.3169279064723645,
    0.33668985969460075,
    0.35856397124322686,
    0.3199767919397584,
    0.34484485372314044,
    0.3755912393275217,
    0.4047878309265586,
    0.2835217183231798,
    0.329992256141573,
    0.31721213674161175,
    0.36129938924807115,
    0.3055791389397355,
    0.34387375646369833,
    0.3438880965289572,
    0.3781679265043771,
    0.31771891074025704,
    0.3734427144590559,
    0.3372645297276551,
    0.3909860245061286,
    0.34560846147343527,
    0.3970276909843152,
    0.36740291958354604,
    0.4104952428382056,
    0.3625271237779431,
    0.32301407330230697,
    0.3489083065541463,
    0.29932192980407857,
    0.31757393544224466,
    0.2827814809164381,
    0.31254266406763437,
    0.26662867537554213,
    0.34967436711334915,
    0.3076802327418757,
    0.32114703428188407,
    0.2744069471502374,
    0.30924537640842703,
    0.2715384101327777,
    0.2885188441374059,
    0.24851247545536645,
    0.35301538903510954,
    0.3205393882536838,
    0.3056633474362945,
    0.27177074100183535,
    0.2884072256130317,
    0.2668502891902108,
    0.2582193809150181,
    0.25275484998748454,
    0.34469249872229396,
    0.30700654108215636,
    0.28688621678943727,
    0.26196775551497004,
    0.2862419161114711,
    0.27216863524193313,
    0.263351939324475,
    0.30209829694478474,
    0.3348276644716383,
    0.280429846399834,
    0.32421780706286574,
    0.2644965736554561,
    0.3058181932008304,
    0.2556134512080657,
    0.297056365575957,
    0.24382698375515224,
    0.3089093443469533,
    0.2530501165186975,
    0.28686449801897507,
    0.22875838405558577,
    0.28171438436389956,
    0.23023325584865556,
    0.2635327030960635,
    0.2691356688313601,
    0.3268546400339228,
    0.28275984329421855,
    0.2861518618697406,
    0.2488166794075649,
    0.2785829292100623,
    0.25062897079665186,
    0.2664804692744408,
    0.29027042636246525,
    0.30501291284980225,
    0.2582688791355718,
    0.2624629262172066,
    0.2798647097489436,
    0.2680867904856996,
    0.2950249332293081,
    0.3079274237095339,
    0.33034556485621464,
    0.31151598196714825,
    0.2882115227154037,
    0.2903643608178629,
    0.25911387963624355,
    0.25661851793991325,
    0.23744632302865712,
    0.24330583473187492,
    0.22174901682869907,
    0.30589753612569637,
    0.2763318146642467,
    0.2745402782505712,
    0.2419889487998137,
    0.25347747765252,
    0.2293810341949316,
    0.23360097658841664,
    0.2636348030949881,
    0.3067174547142926,
    0.2874160082578758,
    0.2586484551753696,
    0.24924615945081208,
    0.24177882356166433,
    0.2429730868767789,
    0.2266310760183333,
    0.2706919969304169,
    0.30261434171960866,
    0.2790088084195037,
    0.2553874315710948,
    0.2999931526074114,
    0.25330168190714125,
    0.30535132446059265,
    0.2771922631587988,
    0.33035624114379203,
    0.2962540890202451,
    0.2560315385235648,
    0.27893831457683255,
    0.23392475272017624,
    0.25491978899711576,
    0.2178051216741743,
    0.2420523061566893,
    0.25855362486591815,
    0.27856118781275124,
    0.23327812850953575,
    0.25095976153354527,
    0.2526544598314411,
    0.2368807910339221,
    0.24579248874527238,
    0.27653167956199604,
    0.28907978976439574,
    0.2894776508665931,
    0.2570774155802146,
    0.2544426291534872,
    0.28499028373620033,
    0.2461753863612554,
    0.2808966193874417,
    0.2839239199183059,
    0.3154952975835369,
    0.27384401585314766,
    0.3032327279490217,
    0.29562127096870583,
    0.32605497117006477,
    0.29758123494360406,
    0.3344325398382887,
    0.3317181361090753,
    0.3660682072948798,
    0.30546982620189533,
    0.2682601674445511,
    0.3003008818715811,
    0.2584407603015745,
    0.25825665273007686,
    0.2270841610214148,
    0.2593406643789248,
    0.22975870710849006,
    0.29542460794083686,
    0.2574668142640352,
    0.2770956535040628,
    0.2365632107168895,
    0.2530078250961074,
    0.21965660984750712,
    0.24619462228448016,
    0.2687957444377964,
    0.2964460384818435,
    0.2692527814852896,
    0.2663141485422728,
    0.2500011204975018,
    0.23298450601392454,
    0.22990131617062629,
    0.23656504196213812,
    0.274380773490574,
    0.28934013554622834,
    0.26181684666250077,
    0.2618589431898415,
    0.29958389890527914,
    0.24506150579725558,
    0.2889763436806493,
    0.2876778848446295,
    0.3343359716324142,
    0.29192055232899433,
    0.23931843994259222,
    0.2857897121637409,
    0.23220963632441127,
    0.2562399193044317,
    0.20936175873836424,
    0.25639947386238654,
    0.2675090442165182,
    0.267621876095602,
    0.21568469708795834,
    0.2520774198738297,
    0.24863321979837127,
    0.23471276087626633,
    0.2357795750426676,
    0.2899444410264319,
    0.2954026255354912,
    0.2817264567366701,
    0.24087045125755097,
    0.2625158813333699,
    0.28352496812091094,
    0.24013796494520834,
    0.267247269423708,
    0.2945024202729663,
    0.31960403639089524,
    0.2606556411561479,
    0.28210955860885495,
    0.30233038862669603,
    0.3238023853640133,
    0.28681866100221587,
    0.31574460632201495,
    0.3436971878345522,
    0.37250266453436703,
    0.268197838743048,
    0.24101869125957698,
    0.25357645890951197,
    0.2234824074958652,
    0.21285254576162688,
    0.19173459163422985,
    0.21163485062030835,
    0.23945615684615354,
    0.26108650622140384,
    0.2310307632574099,
    0.23890838312649135,
    0.26323149148601516,
    0.210023116684255,
    0.23707691728087024,
    0.25559792683788773,
    0.2864677191790976,
    0.26239749628510567,
    0.25125925782449793,
    0.23950711987925116,
    0.2861558080153303,
    0.20896780286101288,
    0.2598697466434152,
    0.24643423122379962,
    0.2989774184434119,
    0.25899482896624254,
    0.3108584825312319,
    0.29275996426834167,
    0.350708545297068,
    0.2680482043472276,
    0.3300300007383118,
    0.3059237142068147,
    0.3764572345512547,
    0.26099706102420295,
    0.21824203960478747,
    0.24763772001456652,
    0.25635453331365493,
    0.21627613526206355,
    0.22571096307989272,
    0.26933185672332643,
    0.28425716715100774,
    0.24205590790004147,
    0.23722824084819177,
    0.27541320191971147,
    0.2868678464639747,
    0.24984981415580557,
    0.2603509975534695,
    0.30923488222807466,
    0.32052515364393974,
    0.2524381507310293,
    0.28831336051404116,
    0.29506777785076777,
    0.32985813870369624,
    0.2661611788877095,
    0.3032222877386795,
    0.3172400165377774,
    0.35333562413907976,
    0.30162673293872744,
    0.34219479381105655,
    0.3455566334117032,
    0.38840606325607274,
    0.32135976009489303,
    0.36578744900662385,
    0.37796274355073284,
    0.4284278255025355,
    0.3642101028553286,
    0.32000712884172394,
    0.328907965016848,
    0.27568796870407647,
    0.3292653785742085,
    0.288832692848574,
    0.29451848277741643,
    0.260126431294256,
    0.3382604880216191,
    0.293968179752759,
    0.2939960445119569,
    0.2447145862276079,
    0.30322313774108134,
    0.2643627363338579,
    0.27322636263216343,
    0.29467839437084914,
    0.29042278633461366,
    0.2642787949659074,
    0.24105592559296046,
    0.22529624289840805,
    0.25399900903699635,
    0.24861329282789515,
    0.2294785229384331,
    0.2600997956839736,
    0.278103991154982,
    0.2536155270602616,
    0.23353437279498232,
    0.2607194220544025,
    0.255106421286457,
    0.2956138343230356,
    0.26459451482376634,
    0.29765799229127254,
    0.3345120452407739,
    0.2770051124238498,
    0.30232975625812186,
    0.24184630977140972,
    0.30936250585933334,
    0.2565263541712237,
    0.2826038063439453,
    0.2937523980884337,
    0.2950158947728696,
    0.2404584158554197,
    0.2569990693048714,
    0.2535922893915894,
    0.27067458351706775,
    0.2806092128887889,
    0.31074788798949715,
    0.31683562864185594,
    0.2667786029468608,
    0.2334702658889792,
    0.23445641107342738,
    0.25017427671008685,
    0.2538866340135214,
    0.27983384611527057,
    0.2766277968123557,
    0.2924552112642115,
    0.24372591968930715,
    0.2652793422952807,
    0.2597417102630693,
    0.2720023066368556,
    0.2899693621380947,
    0.31587410006155997,
    0.30712625110963404,
    0.32028850064491626,
    0.3214531953158009,
    0.288644452872488,
    0.27668798783702936,
    0.24135375159871206,
    0.27154601316049864,
    0.24625675566388722,
    0.24735418546096632,
    0.27651807922060173,
    0.3028988798973477,
    0.26833553001674115,
    0.249726524237417,
    0.2761510330519234,
    0.2547424055466367,
    0.29201798553169467,
    0.2861833503451802,
    0.31899017810240604,
    0.2573211294676749,
    0.24735496543105384,
    0.2167993340592472,
    0.25270974769911325,
    0.2297978225455364,
    0.2750036250581013,
    0.23855446774241,
    0.2784430940437337,
    0.2541321741894221,
    0.3000157772921824,
    0.2528457551178801,
    0.2935892431771874,
    0.27991060188953326,
    0.33319488995008134,
    0.2758979903477588,
    0.32405868070485255,
    0.300754381919528,
    0.25404372708065004,
    0.2614635818034205,
    0.2729769821712143,
    0.2603130852842113,
    0.27947062215987845,
    0.3002484655234377,
    0.31790856821144414,
    0.2697680192512714,
    0.2720767026625912,
    0.28114371544239936,
    0.29096225723507757,
    0.2922429661162372,
    0.312301992846306,
    0.3316028726091785,
    0.34642444369266306,
    0.241840268809406,
    0.27508494817782897,
    0.25942759672329024,
    0.2842145905909072,
    0.2793650342510514,
    0.31112454723594535,
    0.29589960401954507,
    0.3186411439927759,
    0.2840923358015787,
    0.3184109391740508,
    0.2845504008626838,
    0.30877626111652906,
    0.3229966201867125,
    0.3598678945361816,
    0.32759100090077886,
    0.3536809261542968,
    0.3087679451072675,
    0.26700878148030194,
    0.2858010385738931,
    0.24168100813489715,
    0.27081455179880315,
    0.23913874980940436,
    0.2592917029425245,
    0.28146644502270274,
    0.2873016672223964,
    0.246374919216,
    0.2527492132237743,
    0.2702976613500405,
    0.2526098494385277,
    0.2793148403644317,
    0.29359016290726714,
    0.315498000546034,
    0.23992836993305175,
    0.22209591506109877,
    0.2209817424334729,
    0.2441793018995089,
    0.2203962322871823,
    0.25498711622542175,
    0.243053658797033,
    0.2702643294168627,
    0.2358734656416004,
    0.2673091093115468,
    0.25509243223435946,
    0.2790595990895806,
    0.266376693782684,
    0.30644691729616,
    0.2771548017418029,
    0.3038780318888071,
    0.2892623807846711,
    0.23537596387754126,
    0.26651624512007654,
    0.27226511517766655,
    0.25963980522913865,
    0.2733187546757919,
    0.31240261383520396,
    0.32414850609444024,
    0.25423989224995264,
    0.2501167485149976,
    0.28367958697373674,
    0.2851728546434928,
    0.2890697055808035,
    0.30008561607120776,
    0.34034836225153897,
    0.34616073244743434,
    0.2293059986780307,
    0.24820065065182473,
    0.26386372383206197,
    0.27389043313214567,
    0.2709097802311202,
    0.29185103836650816,
    0.3019294728744306,
    0.30930966065467097,
    0.26366629554077414,
    0.2824664088192653,
    0.2877971672156947,
    0.2950269293007914,
    0.30909603714791023,
    0.3330342784756765,
    0.33258518641833185,
    0.3333245889323693,
    0.27519670117475187,
    0.24109930531726118,
    0.24467614470373683,
    0.2694055061378207,
    0.23044375033654724,
    0.2609590417243403,
    0.2699967306303298,
    0.300087605912565,
    0.25827537896443903,
    0.27950060769157636,
    0.27916395815974765,
    0.3062499328725614,
    0.27544619329806136,
    0.310062515252297,
    0.31065044699713723,
    0.34513248228536353,
    0.22348493101693687,
    0.26488108920076076,
    0.24105459176188396,
    0.27720793156047707,
    0.2395243494279353,
    0.28322483165413226,
    0.252396133948298,
    0.288857848697413,
    0.2732420674399785,
    0.3225743701309936,
    0.2783181889291088,
    0.3216950610758184,
    0.29179778069280315,
    0.3484227147339201,
    0.2880206668246972,
    0.33144884216879783,
    0.260973419741809,
    0.26610666723251414,
    0.29595420012671464,
    0.30925085550959786,
    0.28447003439409924,
    0.30090285122811994,
    0.33550705164182437,
    0.35390954992792856,
    0.28460257778683096,
    0.2988780699845435,
    0.31922806757744554,
    0.32866980402363943,
    0.32106423433854403,
    0.3375173349081717,
    0.36999150718696105,
    0.386572746089578,
    0.2669650052787548,
    0.29896186078875436,
    0.2943869999441927,
    0.3170231484233672,
    0.2997402658385858,
    0.3248127228556554,
    0.3264111918418727,
    0.33616950323877687,
    0.30955810732227074,
    0.3489542759799771,
    0.31956757697856564,
    0.34691062761067804,
    0.3467528237853957,
    0.38482502938515767,
    0.3593343276543961,
    0.37239644639564423,
    0.34111323295779367,
    0.3061389902128569,
    0.32350536683504705,
    0.2800965368689843,
    0.27023209472424264,
    0.243990393048001,
    0.26621591472021017,
    0.23838994264359578,
    0.312215686296279,
    0.275773990737,
    0.28571593125486,
    0.24434073331973227,
    0.25352179028355926,
    0.2240173821325745,
    0.24307371524895335,
    0.26268145508503554,
    0.32894046893125056,
    0.30079201790471066,
    0.28252170684573724,
    0.2692032374137908,
    0.2521436615672732,
    0.25157521672641037,
    0.24854428411456184,
    0.2865119167486144,
    0.3071740493821839,
    0.2809720830836147,
    0.2679563277833771,
    0.30414007200473936,
    0.2576941846460018,
    0.30085644862790417,
    0.28586538453560084,
    0.32590076914385874,
    0.3146649583103959,
    0.2645603621013863,
    0.2987254223068742,
    0.2444967227258917,
    0.25977373216793453,
    0.21876380631669912,
    0.25724677695285403,
    0.268918850039668,
    0.27310081468524927,
    0.22500384160717582,
    0.2529608002202957,
    0.254052955561962,
    0.22781044619686525,
    0.23715378601043138,
    0.27805519219253794,
    0.28239654283545473,
    0.30401478712948277,
    0.26642047993552026,
    0.27403667329838954,
    0.2991568218038421,
    0.2559716371192742,
    0.28743542877988754,
    0.2990692650920213,
    0.3255903507588962,
    0.26914469284879644,
    0.29612935206210783,
    0.30021540708057676,
    0.32251049476642635,
    0.29247664654021915,
    0.3231831667524318,
    0.3309105810086025,
    0.3556510342780658,
    0.2901474930136371,
    0.26931945651229794,
    0.2660645381236155,
    0.2391402929016653,
    0.22092076378621742,
    0.20623358846903247,
    0.21578574775495554,
    0.24354920354581772,
    0.26715689538240817,
    0.24119973381506316,
    0.23647108635374608,
    0.265936299562797,
    0.20831038085979445,
    0.23911673485542248,
    0.24321612418589547,
    0.26800479578824044,
    0.2831098202189609,
    0.27537986325692926,
    0.2516171564839214,
    0.3006465877024119,
    0.22447878722368317,
    0.2757118527710756,
    0.2522288855301579,
    0.30056493690317343,
    0.2718192572634732,
    0.3236719272436749,
    0.2911396805809295,
    0.34406104157416434,
    0.27673234005377323,
    0.33174689297546506,
    0.29357242763336716,
    0.34732118958283237,
    0.2730000510146327,
    0.23677993634709055,
    0.2523600533056963,
    0.26949285475801227,
    0.21537106741315423,
    0.23583695415465455,
    0.2634569181975293,
    0.27911639212970735,
    0.2389202537585356,
    0.24491845109158486,
    0.26788980077246655,
    0.283834966812869,
    0.23994075077064086,
    0.2554984195501663,
    0.2834872356910157,
    0.2915986728795149,
    0.2677200511771111,
    0.3108395374522506,
    0.30175124095469874,
    0.3422361935555591,
    0.27740740900648575,
    0.3183769452988325,
    0.3130462328305601,
    0.34885564947818276,
    0.3059914383616987,
    0.34895711675396357,
    0.33320839334133606,
    0.3748860423884103,
    0.32022453589825384,
    0.36285943687700123,
    0.34933885470619963,
    0.3872364676695894,
    0.28797347374417875,
    0.2540516766814615,
    0.27812689209610153,
    0.24355854959512743,
    0.22321372370512288,
    0.20113700645751112,
    0.2345493429000404,
    0.2587922967970125,
    0.26551356751564886,
    0.23014973180226123,
    0.2465707581316722,
    0.26980296962992584,
    0.21070554698897234,
    0.23400793199545186,
    0.2635401419380972,
    0.28412567884773726,
    0.2778058190833897,
    0.26207343146784845,
    0.26514866496410666,
    0.3054788228841431,
    0.2211334713933985,
    0.26624205944207274,
    0.26968936376518177,
    0.3148785069781155,
    0.2686974156514826,
    0.31029755933076036,
    0.30827201776884194,
    0.3533449537330697,
    0.2725491773887485,
    0.3214076931475758,
    0.31565459375386645,
    0.3679103143639146,
    0.27163541286326187,
    0.22354254217998507,
    0.2610231993981627,
    0.2725951929501926,
    0.21924277662607147,
    0.23202309790425812,
    0.28491842586472815,
    0.29774610986983235,
    0.23584130801179715,
    0.23285596584385676,
    0.2804765247564514,
    0.2868468805577991,
    0.24290100910179843,
    0.25035880475157435,
    0.30777525835222647,
    0.31183706545913986,
    0.26548837759895755,
    0.29510747989380065,
    0.3154138580755581,
    0.3437118133153461,
    0.275433800787656,
    0.3091643559890667,
    0.3333845386970977,
    0.36670373548148344,
    0.301414480820424,
    0.33112098886064845,
    0.3520532832003298,
    0.3829395261186764,
    0.31483570116260073,
    0.3505647730582967,
    0.37676582159030453,
    0.4154713003698169,
    0.2500547729044027,
    0.22454848860017676,
    0.2349936778912078,
    0.2671204537090968,
    0.1885128322691552,
    0.2169323314999708,
    0.23632851101726504,
    0.26554965641065087,
    0.23007610590959696,
    0.2516305555397668,
    0.2672296654978229,
    0.2980371494761952,
    0.22404349988598954,
    0.25012099765485046,
    0.26768340840015303,
    0.29261234042587886,
    0.24917262046378186,
    0.30473374171435724,
    0.28696487486724004,
    0.3458788418705812,
    0.23556984042246618,
    0.2935954675459463,
    0.2740783222558745,
    0.334795303943004,
    0.30156227068271085,
    0.36271287417747144,
    0.33949935515037044,
    0.41105530355363923,
    0.2931884787283594,
    0.36030761932499233,
    0.3284920528186363,
    0.40571827352202167,
    0.23865491798142152,
    0.2465715348873336,
    0.2852399321779743,
    0.30513376418967864,
    0.23701265189252402,
    0.2518253896877462,
    0.2955969885576479,
    0.31166853467571126,
    0.2549022593205444,
    0.2686442802706137,
    0.3099207143519081,
    0.3245849626831468,
    0.26209712787207157,
    0.27094408247567636,
    0.3209208952686484,
    0.3276910304615909,
    0.30050261157465213,
    0.3483919131005143,
    0.3505218932872596,
    0.4003916391485722,
    0.2993959453959695,
    0.34572604044201194,
    0.3533337028526809,
    0.40102475046221164,
    0.3455991451790645,
    0.39898594115173386,
    0.39963401076239,
    0.46381794820328137,
    0.34857407055577305,
    0.4036249024281814,
    0.41014892153514043,
    0.4791977652129529,
    0.33713047259655,
    0.2983887377853535,
    0.3000194147034772,
    0.2602535664304156,
    0.28090847924043005,
    0.2559454929966604,
    0.2692851604508631,
    0.2928598664616257,
    0.30028835601932613,
    0.26187403181074564,
    0.2621668638006038,
    0.2828491344998255,
    0.2527938616507923,
    0.2838837381219289,
    0.2940284464984149,
    0.3145309096689443,
    0.2718773055236764,
    0.26069946379113873,
    0.24056122859880957,
    0.2735989923764866,
    0.24322667674231635,
    0.2865128365178416,
    0.26096045346641017,
    0.2968853905747366,
    0.255282307992988,
    0.29445394267820957,
    0.2657833049989886,
    0.2984294613669481,
    0.27741702712551597,
    0.3220911030228921,
    0.283007191704349,
    0.316858924882005,
    0.3095922973095298,
    0.2559757964074126,
    0.275597709740342,
    0.2847711269474054,
    0.26635781427700256,
    0.2845554489886759,
    0.31460556594045624,
    0.3260138044875852,
    0.26085905579881663,
    0.26385983393056384,
    0.28999109092953884,
    0.29311095296806067,
    0.2849753472392386,
    0.29935785508830093,
    0.3335850321949097,
    0.3375331607673359,
    0.2558337718061034,
    0.2828142845197273,
    0.27760237042086366,
    0.2965087382727846,
    0.2898680446203406,
    0.31902584939071693,
    0.31025429038746616,
    0.3275820603455608,
    0.278272488193171,
    0.3036048129481462,
    0.29223077482145343,
    0.3073117145510696,
    0.3132784548326661,
    0.3422846941775695,
    0.3270553973453064,
    0.3376858059826286,
    0.29319175689547505,
    0.2654422203136406,
    0.25520953868414537,
    0.2872267648239104,
    0.23961886523391254,
    0.27746092322520244,
    0.27578630797168113,
    0.3073620518281365,
    0.2623128502639983,
    0.2947380890046657,
    0.28037896766351006,
    0.3123952139697074,
    0.27297160948486116,
    0.3105524543573917,
    0.30216057599843144,
    0.3324493406884897,
    0.24960179133606944,
    0.30267014146036336,
    0.258442248701252,
    0.3059745855170049,
    0.2609780497701562,
    0.31426826406920283,
    0.26658951730783353,
    0.31313205232367874,
    0.2901716400289586,
    0.34633787612547956,
    0.2843115522430833,
    0.33613638798719553,
    0.3028039117098097,
    0.3607791006520107,
    0.2883212453974251,
    0.33618408307872216,
    0.272873565473925,
    0.2894325707184905,
    0.3018131369491438,
    0.32073995523712484,
    0.28804473351422244,
    0.310990768696375,
    0.33018755098315083,
    0.3486642272791419,
    0.2872471540913749,
    0.3091880754514446,
    0.3159292019968982,
    0.3298571757062376,
    0.3108092433027352,
    0.33072723174803065,
    0.34970669175092217,
    0.3616539712923365,
    0.29114998338865933,
    0.3341153185273802,
    0.30492158995396695,
    0.3404362533641009,
    0.3162645670155662,
    0.3551737347428671,
    0.32807612790572843,
    0.35546261592186756,
    0.32135098789166844,
    0.36640974594803727,
    0.31891721027306047,
    0.35478591654866387,
    0.3482669279656684,
    0.39164650052600053,
    0.343200243334371,
    0.36764361742756924,
    0.28597272053984213,
    0.24952630732101613,
    0.26730441760428575,
    0.2916909692852908,
    0.24096394630806292,
    0.2713522346494838,
    0.2917221809618108,
    0.3192109045153304,
    0.25577404434873324,
    0.27867476810964853,
    0.29189851094492836,
    0.31354809518887533,
    0.27043428225113847,
    0.29851889224632533,
    0.31375560310339773,
    0.33596770433812573,
    0.23857809429375598,
    0.27614993851381064,
    0.2664604852929612,
    0.2998346794175849,
    0.251380148376325,
    0.2954627489341406,
    0.2750129639675816,
    0.3122326462140084,
    0.27523554750955026,
    0.3146210772269783,
    0.2938761301085396,
    0.32753662299631253,
    0.2868552236811569,
    0.3345072064081581,
    0.2929736586304344,
    0.3227699961672975,
    0.2655043959171515,
    0.2733591529330026,
    0.3122897936830394,
    0.323343227676653,
    0.2905815483284252,
    0.30643816141542296,
    0.3483443658133726,
    0.36422209682840145,
    0.2800717560265955,
    0.2898362244838607,
    0.3267076618360171,
    0.3306589155338322,
    0.3087856908435179,
    0.3198576124264017,
    0.3655798276682484,
    0.3712906176252965,
    0.27929748762445505,
    0.30322978769148806,
    0.31294120354197363,
    0.32984865315610135,
    0.3078805570869537,
    0.3361935120215672,
    0.3395134986987225,
    0.35357703908314425,
    0.30399919088376887,
    0.3291236377778691,
    0.3302604401886734,
    0.3452337346168877,
    0.33310634847629955,
    0.36447666081155344,
    0.3552544777848871,
    0.3542910565924709,
    0.2513979205259464,
    0.28601399028822977,
    0.28904724283160066,
    0.3223325522317418,
    0.2595362520272653,
    0.2960081752936615,
    0.3022759047890798,
    0.33847379731913624,
    0.2865396333417953,
    0.32171058986391726,
    0.3168717422532765,
    0.3506009956124473,
    0.29460755844423503,
    0.33024117627036825,
    0.32793482443418603,
    0.3616064375123184,
    0.2702549832972332,
    0.3254673240494872,
    0.2882612800107038,
    0.339965918871599,
    0.268662116583635,
    0.3227032003537654,
    0.27981779461340084,
    0.3242765447475177,
    0.3151528863282469,
    0.37918283655598684,
    0.31944376430209415,
    0.38089781387879046,
    0.3135625301083525,
    0.37861680059903674,
    0.29650198744971945,
    0.3369970387648207,
    0.29773501127001295,
    0.3185593516773544,
    0.34537035442744385,
    0.3665036341722629,
    0.3178405318625674,
    0.33831131542379456,
    0.37291240200873066,
    0.3977743688803164,
    0.32350683527908125,
    0.3429796582627912,
    0.363508945920197,
    0.3802199218803599,
    0.34276962669103106,
    0.36038945098683434,
    0.3952254377244215,
    0.4134659890486364,
    0.32006469478868843,
    0.365565405278185,
    0.3483779692934443,
    0.3876614203923982,
    0.3378914897149719,
    0.3743752370097349,
    0.36454343901938346,
    0.3826266048147154,
    0.3556315580721611,
    0.41240692433621784,
    0.3699612156904755,
    0.4217616888662124,
    0.3761521915071077,
    0.4287865282004395,
    0.3824631516181561,
    0.39127394270851734,
    0.3623387149102257,
    0.3481257025877054,
    0.38373245951416646,
    0.34051523200352335,
    0.3355477266124814,
    0.31378790632369197,
    0.3509324214414987,
    0.3104715864802099,
    0.3565943778374474,
    0.33182443448779303,
    0.3534156420947996,
    0.31335983510356874,
    0.3302031679241233,
    0.3025853291939221,
    0.3236238620537326,
    0.2843954680724682,
    0.3920396290854065,
    0.36501279169662443,
    0.3514979203962464,
    0.322020553540238,
    0.3441557377193335,
    0.32298712753754893,
    0.3187240871847688,
    0.2924182920095269,
    0.3764891484642907,
    0.34521941493951297,
    0.33031732595224284,
    0.30026063597738034,
    0.3347510809050679,
    0.3098429772030798,
    0.29823849221331544,
    0.28091525274376633,
    0.33353394038788714,
    0.2935500833636873,
    0.35454974855261356,
    0.29715982175642963,
    0.3211898188554652,
    0.2811132335289151,
    0.33256979873852044,
    0.28137625337891287,
    0.31485688872215456,
    0.2686230114867135,
    0.3126130493984204,
    0.2579195560249043,
    0.2996240948749243,
    0.25602035492182385,
    0.293581224225967,
    0.2432948466594113,
    0.3550795395636685,
    0.3148734343273948,
    0.32645842587613827,
    0.282865361517192,
    0.32422018370483896,
    0.2877564262015881,
    0.30239338033070745,
    0.26941329963876953,
    0.3307079728890272,
    0.28855144155429663,
    0.2940344210485293,
    0.25042050422470236,
    0.3012017095571189,
    0.26376726023264035,
    0.27548225193950954,
    0.30374271052651697,
    0.3342304206160545,
    0.3254993797777535,
    0.3395690951074789,
    0.3073336515470156,
    0.29534966057652984,
    0.2859409082226934,
    0.29545128412313953,
    0.2702701260528737,
    0.3335960810100315,
    0.3125963806779441,
    0.3211444675950303,
    0.2882110761009202,
    0.29411815445565026,
    0.27666911210165773,
    0.27816699334352935,
    0.2511200956158669,
    0.3589158481140256,
    0.3451286673911133,
    0.3162306685866681,
    0.29616475968059813,
    0.3042675294418914,
    0.29580440676706155,
    0.2725722268886146,
    0.26921688765782315,
    0.34885803338669197,
    0.3276151126530932,
    0.3005165543200166,
    0.2777316653035769,
    0.29755454020956595,
    0.2843157042393314,
    0.265433051991115,
    0.32066275469392796,
    0.311668506409339,
    0.28155332021029483,
    0.3188172225005453,
    0.2727098517138226,
    0.28812320691409615,
    0.2607759087340054,
    0.2866102955415451,
    0.24860279851350417,
    0.2992973303101305,
    0.26066221260901024,
    0.28639965872800155,
    0.24054652477141544,
    0.2716813574570062,
    0.23864494513769757,
    0.2553441100216048,
    0.26650503218931265,
    0.3297151465962484,
    0.3028155957206406,
    0.29638365049518667,
    0.26282361299335444,
    0.29149846479299535,
    0.2673262133553401,
    0.2696598064378958,
    0.3101168483299982,
    0.3111629544107228,
    0.2794295349148731,
    0.26887310017604327,
    0.2954329469085043,
    0.27206710820274244,
    0.3121498609638009,
    0.30882729603704184,
    0.3508048257868194,
    0.3372956318021154,
    0.3042804061926183,
    0.35318357612205015,
    0.3088674184107218,
    0.300485372232918,
    0.2675014335317954,
    0.316716214321674,
    0.27510690936643845,
    0.32752768545011407,
    0.2921347546272281,
    0.3298855987938901,
    0.28576705439970734,
    0.29572974575844657,
    0.2593803223051908,
    0.2961205047484354,
    0.2526380800085458,
    0.34209443589194677,
    0.3190615393157497,
    0.31893569961860796,
    0.28971290150764695,
    0.2948122554620089,
    0.27530313244889293,
    0.2820859036331885,
    0.2704479076893472,
    0.3298553795780701,
    0.30280879258380056,
    0.3020050474548875,
    0.27327375957579275,
    0.28907298547484095,
    0.26788564218942884,
    0.2796325462268323,
    0.3245563115000612,
    0.3176100603663692,
    0.2671958868722115,
    0.3329380621043585,
    0.27606298275927293,
    0.2919294871454033,
    0.24463203787756863,
    0.30456529565411683,
    0.2528027133676588,
    0.2944786593593132,
    0.2440516488859027,
    0.2964960205136895,
    0.2404132653248902,
    0.2702242188929562,
    0.22231117779420853,
    0.2709056256357177,
    0.27074022534829756,
    0.31999009568886794,
    0.2826382993729768,
    0.30176821627177536,
    0.25840368364080263,
    0.2831928413361255,
    0.2480681080851135,
    0.2800265923151415,
    0.3104355545587722,
    0.2963441674798033,
    0.2580675034033194,
    0.272447033902744,
    0.2930879756682781,
    0.26291725036257674,
    0.29058489806536375,
    0.32524303674361493,
    0.3551657561735388,
    0.3140730579455437,
    0.2915070138979927,
    0.31570695317952724,
    0.2818980496886796,
    0.26746603891279386,
    0.24800968038937676,
    0.2689362728769626,
    0.24109612561409138,
    0.30662415324297065,
    0.27891860066319973,
    0.2997301908794195,
    0.2640505699240608,
    0.26348672284053226,
    0.23885210095325207,
    0.25481448264726225,
    0.28247762677580174,
    0.32242293438444913,
    0.31241031276301134,
    0.29111489765884707,
    0.2781984940030739,
    0.2646833190073816,
    0.26554996051661456,
    0.2552367396841925,
    0.31350357453645017,
    0.3108377334810389,
    0.29485109060946635,
    0.2778655349785886,
    0.33550046465415584,
    0.2596130700820126,
    0.3248122713208058,
    0.3106915336560976,
    0.37990548606321767,
    0.2980285395182347,
    0.2591279047235252,
    0.30064567122361086,
    0.2542492034964115,
    0.26410499214912403,
    0.22979047858232207,
    0.26375751197120534,
    0.28078069883107226,
    0.27968683847183284,
    0.23789777160066083,
    0.2713415916064255,
    0.2669207226314795,
    0.24541757704477463,
    0.2494653276680743,
    0.2934225888975873,
    0.3128229376899159,
    0.3028966507842274,
    0.2793304537106524,
    0.2766308824724758,
    0.3166108560306209,
    0.257340292161517,
    0.3076600106192448,
    0.31601434600537026,
    0.36640142944583337,
    0.2822346958393777,
    0.3156335097449346,
    0.31905302635170635,
    0.365198186459826,
    0.3039921434832576,
    0.3604787319640467,
    0.3677140834366087,
    0.4244870304411866,
    0.3554934046276597,
    0.33035078157522196,
    0.3377153437725873,
    0.3000909829946863,
    0.34274724548248126,
    0.3124714733828778,
    0.3214965379706817,
    0.28460109579062887,
    0.33039452833569855,
    0.3036418504912051,
    0.30176685373690654,
    0.26639024998686056,
    0.31893132087737064,
    0.2887221008691944,
    0.2893281454757674,
    0.25317413787110143,
    0.2974844519343929,
    0.28445418127376626,
    0.25653358563522816,
    0.24001498646531408,
    0.2791155271987234,
    0.2612046604523253,
    0.23731711619087675,
    0.23350535663395508,
    0.2846226919538029,
    0.26585034972609095,
    0.2371016536158695,
    0.2205360712599411,
    0.2650214559568104,
    0.24875914787452266,
    0.22897227721149296,
    0.2692125422619258,
    0.3226717080390783,
    0.2766375719234651,
    0.3100612671405343,
    0.2587955771741533,
    0.31827321950970405,
    0.2726658890389919,
    0.299407988223699,
    0.25243351126259855,
    0.2861477066389622,
    0.24167880251935095,
    0.2614616755653051,
    0.21335167672507033,
    0.2830738014788529,
    0.23922058873015722,
    0.257226248627796,
    0.2670379287387488,
    0.2691860543852502,
    0.24157041500577578,
    0.2369265863660266,
    0.20720433271890307,
    0.2604875408908004,
    0.22956111029075818,
    0.2333003897101342,
    0.25914796350628416,
    0.24637568358720502,
    0.21545283549659688,
    0.20597773533792146,
    0.22457095307237876,
    0.23578226439693528,
    0.26110340807326676,
    0.26076421166108615,
    0.2845371180468535,
    0.33687740868674515,
    0.3145558598494174,
    0.3078789066644801,
    0.27661139458385825,
    0.30267687935473075,
    0.2834857422910843,
    0.2784016105614338,
    0.2524834727509952,
    0.3166710757715549,
    0.29173623301400126,
    0.27752263765425705,
    0.2470045486319482,
    0.28623764006069635,
    0.26468015798935346,
    0.2524326953624728,
    0.2902581972660602,
    0.2859743973501479,
    0.2786346516755225,
    0.23733301822655814,
    0.23074462309360308,
    0.24960939874542173,
    0.24803865027732644,
    0.21852689343305318,
    0.267663525069968,
    0.27316992167470894,
    0.2596530887640764,
    0.21916627256305937,
    0.26529032611990394,
    0.24102785215066175,
    0.2955767977847219,
    0.25346922674780514,
    0.3088888442290095,
    0.30853387622632883,
    0.26972788342537013,
    0.2861410031989941,
    0.2425074327680608,
    0.2865315874163947,
    0.25192529499826527,
    0.264175379414134,
    0.2882142582057733,
    0.2773260271267146,
    0.23867449249759373,
    0.2416170240555929,
    0.2403291039955504,
    0.2581981011678993,
    0.2708125944688445,
    0.2859200710535348,
    0.31052267040910897,
    0.2610247136407337,
    0.24007203603767038,
    0.2202148050135684,
    0.25401716431391796,
    0.23820917264189614,
    0.2767498094359153,
    0.26462412854279815,
    0.30238272983673187,
    0.23911930511436513,
    0.26664697617714556,
    0.2411739179810369,
    0.2727881198187875,
    0.2751685994389199,
    0.31716446247911256,
    0.2919111555855157,
    0.331736608603308,
    0.3208014409229812,
    0.2882255871646588,
    0.31308582377456323,
    0.27398560239822967,
    0.29714550755174346,
    0.26241256164044086,
    0.2860897771557789,
    0.25040207356241984,
    0.300455943791964,
    0.2672524949830125,
    0.280584153055109,
    0.24205494076553394,
    0.280687757977729,
    0.2447106287948694,
    0.25864147294874723,
    0.28407976800592555,
    0.2629961081661748,
    0.24860960055732326,
    0.23642135441074164,
    0.22276234907028244,
    0.23701932630208314,
    0.22668692017364928,
    0.22273022539623352,
    0.2596340614365722,
    0.25226185888705793,
    0.23331375916722163,
    0.22179962183463275,
    0.2580855284913295,
    0.2330235833305404,
    0.2725310666830623,
    0.2625198074797721,
    0.3008669736591746,
    0.2957306470452457,
    0.24822505854540775,
    0.29058399283199127,
    0.2405426353919937,
    0.27972085341428365,
    0.23320354608508345,
    0.26952217449553717,
    0.2851126926721689,
    0.2633099495505029,
    0.21786560459061846,
    0.2455270034663633,
    0.23930176120977828,
    0.2502508610317484,
    0.2501709957298623,
    0.29372041223704365,
    0.30547752925403004,
    0.24290405155540365,
    0.215330190730877,
    0.221864238792918,
    0.2466016266786829,
    0.22930595441095192,
    0.25265529844329687,
    0.27013691003523294,
    0.2925129636195607,
    0.22186248050126334,
    0.24005544788007127,
    0.24709350707599428,
    0.26841081499117564,
    0.2656323027890278,
    0.28927667639995186,
    0.304637054825214,
    0.32442477054944074,
    0.3053766197842964,
    0.2793239812772267,
    0.28563078596869823,
    0.2537437118511952,
    0.2640939737619867,
    0.2412852364538452,
    0.24972900345453106,
    0.2869188287501763,
    0.28704968223324057,
    0.25903063709450497,
    0.25633241520309064,
    0.2770194492832469,
    0.25104555128086947,
    0.27981637812643256,
    0.2902684915518643,
    0.32868063715328666,
    0.2568945626947614,
    0.2523596684882932,
    0.22560652771401235,
    0.27843436451052256,
    0.22174778518120553,
    0.2773717804591788,
    0.24891668856620222,
    0.30495771981626557,
    0.24438497002172518,
    0.2999096929518835,
    0.2626511867822985,
    0.3204290563672322,
    0.26768254228422533,
    0.33192742376281215,
    0.2900829270112739,
    0.3553247124190673,
    0.2833614351113753,
    0.24404574587146707,
    0.26738932780252606,
    0.27478711918156,
    0.2527878998384437,
    0.26825467055212265,
    0.303160043659359,
    0.3333318362994646,
    0.25446194043364784,
    0.25214817039353643,
    0.27339259267946703,
    0.2890727323853919,
    0.27821057541073707,
    0.30334671999776086,
    0.33475369396882815,
    0.3600671484932002,
    0.23821113166348434,
    0.2803193742404621,
    0.26794452606690444,
    0.3124498331618946,
    0.26979589001117066,
    0.3140311588373669,
    0.3082202108255501,
    0.35211576566891833,
    0.2702966583973472,
    0.3215263214627302,
    0.29431431524506324,
    0.3400987504971759,
    0.3114151668758429,
    0.3634536742176085,
    0.34408346095275166,
    0.39515630296258875,
    0.3534538979684548,
    0.331821875945798,
    0.3558246566907464,
    0.31658787263058596,
    0.2919081196201847,
    0.27494428643595614,
    0.30278029720928434,
    0.2691861780295765,
    0.3196593416382897,
    0.2972888597073056,
    0.31023301495972944,
    0.27603350035088786,
    0.27416520710468373,
    0.25332034990104546,
    0.2653140358848117,
    0.23340926324404268,
    0.36927180535996135,
    0.3429616713544911,
    0.32606836287397456,
    0.2980474743206878,
    0.30332056511960837,
    0.2858082232749867,
    0.2783610640552742,
    0.27191212545012317,
    0.33405605923609333,
    0.30782916502263896,
    0.28862478730953534,
    0.26574137879176263,
    0.28309895409881525,
    0.2682922007941008,
    0.260779974602245,
    0.3057520164828618,
    0.32576344485513153,
    0.28120584684548405,
    0.33052734332258094,
    0.27557495620271255,
    0.2773892086702014,
    0.24307953201752733,
    0.28326922194141624,
    0.23909462985141502,
    0.2809847864367136,
    0.23954497294563337,
    0.274822591353866,
    0.22695517720487973,
    0.24443244870669112,
    0.2099194840999821,
    0.2373330382246846,
    0.2470217977667695,
    0.33743080320291574,
    0.29635747308632343,
    0.3030997967703577,
    0.26160928019815066,
    0.28464511174154866,
    0.2545409164046922,
    0.27251314703291146,
    0.3034403185430746,
    0.29076402400195234,
    0.25412660011021015,
    0.25464540833691296,
    0.2782083435067503,
    0.250185419852483,
    0.28414167844846605,
    0.29509281386601943,
    0.32653678277520704,
    0.31283214731224296,
    0.3016196333299324,
    0.3104866440609003,
    0.28089480281681967,
    0.25425021548623533,
    0.24650088355149313,
    0.25206649925807917,
    0.22962808178851415,
    0.28939350522471163,
    0.2728008264556911,
    0.27616149594900474,
    0.24813776042843047,
    0.24084891392579375,
    0.22713483353344127,
    0.22369520550558347,
    0.25635500182891835,
    0.33279703727082494,
    0.3191332755226292,
    0.2920017698235102,
    0.27946291873062,
    0.2644481581025312,
    0.2653607664063584,
    0.24991840817445382,
    0.30315994980653693,
    0.30605086459293734,
    0.28891887309265496,
    0.2649190172412602,
    0.317796893291408,
    0.25398767571592523,
    0.31466313842246685,
    0.28623747495720353,
    0.3468042452447235,
    0.2915393963181489,
    0.26143044051148395,
    0.291542795608336,
    0.24862833647572405,
    0.24416503923443336,
    0.22105848061535435,
    0.23994407116210256,
    0.261441623091459,
    0.2579182078221997,
    0.22608694450486574,
    0.24558352042583917,
    0.24855001916899827,
    0.2176367062396551,
    0.23327695136444335,
    0.25375499402439383,
    0.2758071994206167,
    0.30733803032943846,
    0.28051446657856616,
    0.2743144360500132,
    0.31378780691919367,
    0.25384401075291074,
    0.3022410890504655,
    0.3014079562970206,
    0.3452931083867868,
    0.27068182503788557,
    0.3038362378554718,
    0.29783380383399605,
    0.33958308053181296,
    0.2892184811175596,
    0.3424589039857159,
    0.3294697842291954,
    0.3779640816065533,
    0.32741740116949514,
    0.2939723100720267,
    0.3292925444643059,
    0.28907994357855116,
    0.2660356572135286,
    0.23923432781690568,
    0.2767980549353448,
    0.2440627140012836,
    0.2953639187877782,
    0.26361865438778004,
    0.29008917531557105,
    0.2515256557295809,
    0.24666951757623382,
    0.21765146858632897,
    0.24315381017970794,
    0.2669398943382126,
    0.32700242067170243,
    0.3031996200050523,
    0.29822646353636995,
    0.2796292540269681,
    0.2625352293746646,
    0.25554965238382404,
    0.2665848251394552,
    0.3136594626486852,
    0.2979484811173152,
    0.27311284526030377,
    0.273831153045218,
    0.3187548770192137,
    0.25223201554688895,
    0.3010751961373166,
    0.3067250064605448,
    0.35824600497188946,
    0.30574041563393634,
    0.25568506325761775,
    0.30916810747269996,
    0.2557204917182544,
    0.2545812219911454,
    0.21438022233761048,
    0.26129386591713166,
    0.27721760415417396,
    0.2620229769648095,
    0.21718567643157327,
    0.2593097326749006,
    0.25591532608003453,
    0.2203577777972574,
    0.22234582952928728,
    0.2771454607299288,
    0.2883258161052148,
    0.3050452443886187,
    0.2667798139088192,
    0.28377061137588666,
    0.31338955736857504,
    0.25346447128533683,
    0.2888919846766034,
    0.31952393617178665,
    0.35608895826989123,
    0.26352443063453784,
    0.2860409177843564,
    0.3096320634441325,
    0.34021965148916977,
    0.28451765602019824,
    0.322095414283405,
    0.35251021762082635,
    0.39116892774575807,
    0.2956728854136622,
    0.2727349218712713,
    0.29108018810808006,
    0.25930173703742493,
    0.23465046134077716,
    0.2170149124143976,
    0.2345033071715379,
    0.26884086650382966,
    0.2698774809682697,
    0.24536994796205436,
    0.26021525241419613,
    0.28270407913371975,
    0.21784077103782515,
    0.24440960447985166,
    0.2663082672780731,
    0.29891646157800944,
    0.3003788504915431,
    0.289185363571175,
    0.27724487240297885,
    0.33804063884522206,
    0.23794873869082533,
    0.30359881117517096,
    0.28869294047049027,
    0.35634796981104777,
    0.2755756658415715,
    0.33588461537118147,
    0.32214441483083783,
    0.3920486760763333,
    0.2859471823628712,
    0.36084649306779537,
    0.3379372658899456,
    0.41876656755295294,
    0.27784102729633986,
    0.24042897434801033,
    0.2751095909568106,
    0.284266446717451,
    0.22606754562915649,
    0.24217429208662392,
    0.28421704622158994,
    0.3105456412060915,
    0.2426684846045843,
    0.24160806311435543,
    0.2844181630580355,
    0.3035505227825632,
    0.24072103299508704,
    0.264683715692308,
    0.3076929496059449,
    0.32859991330482513,
    0.2814398175868869,
    0.327233739723063,
    0.3322291714504235,
    0.38598176341190377,
    0.2903782221745358,
    0.3513057030767144,
    0.3549014451220569,
    0.416917817979826,
    0.30760041856912124,
    0.36802439964792916,
    0.36879763451300945,
    0.43121794834700616,
    0.3300954633432116,
    0.4005522810664976,
    0.39914952122065456,
    0.474254180764024,
    0.3430509376128424,
    0.31469714311484837,
    0.3153550982411503,
    0.27918002581198226,
    0.2964488645714343,
    0.27202316374033436,
    0.2789531888053822,
    0.25237219733626126,
    0.29760921646935123,
    0.272577847154037,
    0.26727443300876,
    0.23493278949143084,
    0.2615614906530989,
    0.23770686063197574,
    0.24046354072262685,
    0.27051225361885656,
    0.2896700850802248,
    0.27258037306272237,
    0.2410516961790834,
    0.23230012862369975,
    0.24715099543476296,
    0.24243536604144916,
    0.22533256004561494,
    0.26740575523292276,
    0.25212609802608815,
    0.2346746912917999,
    0.21128843932658323,
    0.24941383556222704,
    0.22615334290625605,
    0.2686969944437074,
    0.24341904518666171,
    0.28442527167166864,
    0.3124150203090019,
    0.2625614971615067,
    0.28883197273188843,
    0.23728890568035743,
    0.27376922728457687,
    0.2322084993039106,
    0.25625506974201395,
    0.27524790203757893,
    0.2576347353175896,
    0.21596359118803926,
    0.2318715659526681,
    0.22967646380108078,
    0.23030409147424408,
    0.2391055097768898,
    0.2680952359004071,
    0.2821237210053335,
    0.2609460738055872,
    0.227894263527016,
    0.22341783305125518,
    0.24622604791473096,
    0.23399140047051867,
    0.2601695144024953,
    0.2624028804580465,
    0.28661567671644633,
    0.21559103872498206,
    0.23550315874928376,
    0.22934846302577874,
    0.2492033931436969,
    0.249693764217808,
    0.27600204930214517,
    0.2722806090379071,
    0.293361970249972,
    0.3115585735018387,
    0.2898783121352589,
    0.28000329111554567,
    0.25042586570736397,
    0.2577845132622353,
    0.2413065019512658,
    0.24175853575778802,
    0.28041994606724363,
    0.27546358631754453,
    0.2542140763763367,
    0.23875219579175674,
    0.26481603824276895,
    0.23127265532007585,
    0.2680810483458852,
    0.264779111621476,
    0.30384143544388076,
    0.26909662525860434,
    0.2622843057073224,
    0.22779623568926777,
    0.2787607438547857,
    0.22601479088900941,
    0.2809898949006094,
    0.24655827035354172,
    0.3016704639249943,
    0.23805685747031285,
    0.2922037193486872,
    0.2469869899867554,
    0.30099249872693745,
    0.25780721484986113,
    0.317211285527428,
    0.26609378379981075,
    0.3250721209320856,
    0.28595141627746834,
    0.24735314830529773,
    0.25882024901921413,
    0.26781828685994324,
    0.2412784256752402,
    0.2610051449383998,
    0.2856065577715574,
    0.31214132877618295,
    0.24067317805205962,
    0.24475155832048243,
    0.25558689494041376,
    0.2713333047247665,
    0.2544213741373004,
    0.2819322767699858,
    0.2989976640310394,
    0.3219465200018355,
    0.24501062172789656,
    0.28360510576989334,
    0.26413771527673774,
    0.30255578238122405,
    0.26719086961322586,
    0.30823871825010063,
    0.2940007881036234,
    0.33264108874857323,
    0.2600712720377334,
    0.30393399157480155,
    0.2708233408926861,
    0.3091883356030688,
    0.29052696754372814,
    0.33647306268936344,
    0.30414958277435816,
    0.34507849253784295,
    0.3105734332317517,
    0.278153788976094,
    0.29204126907942374,
    0.25592110825658715,
    0.2594178217718043,
    0.23111006070854123,
    0.2553426056955863,
    0.2874174023630924,
    0.2716247094524799,
    0.24079344488735663,
    0.24744232925996051,
    0.2685650560328986,
    0.22955685303959478,
    0.25464262925391146,
    0.2755579603014097,
    0.3027148241114207,
    0.257676516867034,
    0.24462404486675454,
    0.23226680874110908,
    0.2751054501044696,
    0.2216706701367107,
    0.2649741783420545,
    0.2552925120313895,
    0.30049830224538077,
    0.22675257090876075,
    0.2701856559046265,
    0.2553564329340207,
    0.29863281468115904,
    0.2497277362406833,
    0.29479275680704964,
    0.2768707403742787,
    0.3201062650386371,
    0.28456336434367463,
    0.23612032084696108,
    0.26838215683397004,
    0.2743869086642488,
    0.24017817024425372,
    0.2511096691631393,
    0.2980008609496107,
    0.3180821663048314,
    0.23595856172439533,
    0.2317186423898689,
    0.2668332906884205,
    0.2755824355656839,
    0.2513920862726008,
    0.26392586358853454,
    0.30985072234006755,
    0.3216582616728766,
    0.23511233180766297,
    0.26281217349224945,
    0.2697802968138507,
    0.297106083896447,
    0.2605327041708091,
    0.287494384295587,
    0.30242402063404156,
    0.3285071236563842,
    0.24821515341503353,
    0.2770848896905769,
    0.2816602985441509,
    0.30724241930763946,
    0.2790299505006392,
    0.3063425308133688,
    0.31708237999035377,
    0.3388014555328107,
    0.28485176394175005,
    0.2599881511176409,
    0.260924042143171,
    0.29324474290592056,
    0.2259594107513477,
    0.26468166381457536,
    0.27949373920976184,
    0.32206658153109974,
    0.2520687890655272,
    0.27586279104387,
    0.2796232209998137,
    0.3157556725468477,
    0.2567033311266598,
    0.29650698761828065,
    0.3044153296239355,
    0.3455640926378138,
    0.24497882054931405,
    0.31057638146802696,
    0.2742487071482245,
    0.3408026406040532,
    0.24828104259632974,
    0.3139898480966699,
    0.27854342665823495,
    0.3470683586544164,
    0.2774839097774922,
    0.34911322270340106,
    0.3009171833673866,
    0.375114866075372,
    0.2843620744149187,
    0.358878420242454,
    0.3030155238610826,
    0.3803119054988255,
    0.2625909687788601,
    0.2705800297846137,
    0.30115437346846935,
    0.32543522577071055,
    0.2669210190545561,
    0.29412796766012933,
    0.3332227064636974,
    0.36628864263035055,
    0.2645436340485203,
    0.288355275111705,
    0.3111641342366983,
    0.33091603199633607,
    0.2901662193319058,
    0.31642492438798103,
    0.34982601310048367,
    0.3775069136733881,
    0.2852485942046389,
    0.342726233145168,
    0.32269957163490626,
    0.38059399551956524,
    0.2983514728714275,
    0.3516041349087594,
    0.3414558253016057,
    0.39720018234382254,
    0.3097587065526344,
    0.37448817941917795,
    0.3384969524077069,
    0.40380387223040204,
    0.3273244359306815,
    0.39156244667328843,
    0.3603596941591952,
    0.4280989320593658,
    0.343232369562663,
    0.3168544203034276,
    0.34570917940479684,
    0.30509924248590153,
    0.3035489939390264,
    0.27483921226000574,
    0.3090518476615526,
    0.26864854248512343,
    0.3327379320872928,
    0.30136287213554525,
    0.31282347294145724,
    0.2753532267886599,
    0.293586569185352,
    0.2625807184860583,
    0.278252290176279,
    0.24031369445164502,
    0.3595485903093716,
    0.32840078144865187,
    0.3181671913912437,
    0.2871265628980102,
    0.30613016408271765,
    0.28201455677879317,
    0.2788069499059614,
    0.26561447114543973,
    0.3461736750549609,
    0.31091838409715317,
    0.29295002870839043,
    0.26269197711137326,
    0.2964074398435482,
    0.2722050036581946,
    0.26704621851849686,
    0.30862414120829,
    0.3249786756797928,
    0.2744150574041239,
    0.3276705390974423,
    0.2706427883333531,
    0.29712868242716434,
    0.24972645470166271,
    0.29838762335660785,
    0.24539223733241938,
    0.3024751137899177,
    0.24847811604660444,
    0.2853670235408439,
    0.2299737971205689,
    0.2722008760651904,
    0.22315584124812857,
    0.2580803708093076,
    0.25763235821358765,
    0.3340961244697798,
    0.2871193083867207,
    0.3008142250543275,
    0.2542897065847069,
    0.292950669453708,
    0.2525914845027183,
    0.2775082795511603,
    0.3028310438423973,
    0.3107736986853849,
    0.26177521321303243,
    0.2661372482460031,
    0.2799631089419299,
    0.26991099767531296,
    0.29319500706819956,
    0.3125628166015976,
    0.3353299102234963,
    0.3156489795578661,
    0.2966903337637892,
    0.30681157384351,
    0.27642318298532,
    0.2670818970433292,
    0.2485707462189232,
    0.25855409794076006,
    0.23150035364183752,
    0.30956013710607777,
    0.28368592450531516,
    0.2835492555806763,
    0.2534349884206636,
    0.25971381213653016,
    0.23763930040335268,
    0.23602392969887714,
    0.2664394970283361,
    0.32282257618979643,
    0.3035413981411479,
    0.28155585237056185,
    0.2642004419058264,
    0.2667377529739982,
    0.2578859302408708,
    0.24753615302693802,
    0.2950330220783942,
    0.3142163025896251,
    0.2893822625308108,
    0.2633727194389226,
    0.3113501975798615,
    0.26215412084401885,
    0.3173116884810022,
    0.29163203273881594,
    0.34824250692515946,
    0.3013136264978925,
    0.2614345494876409,
    0.29420609882663756,
    0.2483517852026427,
    0.2639120256132241,
    0.2270552235364431,
    0.25412596115853026,
    0.26933279922841846,
    0.2851398342031005,
    0.23972892665013878,
    0.2597332974463997,
    0.255861152236446,
    0.24312668740444307,
    0.24640116106148105,
    0.27548951804531524,
    0.2910501250298018,
    0.30322561043474416,
    0.2692074127217604,
    0.2684185544364459,
    0.29987206624958723,
    0.25780307552550125,
    0.2943418581503342,
    0.30539598852966393,
    0.34030641428470565,
    0.2861214145563445,
    0.30668096447060916,
    0.30410402647622087,
    0.33652548743399435,
    0.30620177622885264,
    0.3458567459659861,
    0.3454560986219706,
    0.3821196164133111,
    0.30099606790097994,
    0.26854599947960806,
    0.30601035610349325,
    0.26731636261184233,
    0.26036918166091033,
    0.22868022246138425,
    0.26852142478097585,
    0.2314080307120962,
    0.2877241852710627,
    0.25485447222975455,
    0.2771045439175742,
    0.24020952580162194,
    0.25046078880273365,
    0.21795192036788555,
    0.24245945092881813,
    0.2629950579492031,
    0.3075399345805119,
    0.2817632449898145,
    0.28027459288434653,
    0.2576517076907495,
    0.2537052940252433,
    0.24052878171532652,
    0.25302545639538554,
    0.29345259684094455,
    0.2936638684695176,
    0.26478703889347033,
    0.25983182550663186,
    0.2989966122339695,
    0.24967393823741232,
    0.2940838049382304,
    0.2969652493510278,
    0.34324175423599784,
    0.29129844011042855,
    0.23825726387752966,
    0.29507277545242416,
    0.2404861219391302,
    0.258834822424044,
    0.21028327699733146,
    0.2629571969505923,
    0.27008386412568947,
    0.26555276265592637,
    0.2131846361828551,
    0.25528842268950175,
    0.24450537685159143,
    0.2334961884574207,
    0.22530944323426103,
    0.2842429397404173,
    0.28825987586118945,
    0.29269812272566076,
    0.25014322515485493,
    0.2694574864230408,
    0.2911354659073749,
    0.24907133071440013,
    0.2759458798463249,
    0.3126143525732633,
    0.33863657829160343,
    0.26802242718963987,
    0.2789472283960247,
    0.3028173184099448,
    0.3223123957583195,
    0.2916944763389984,
    0.3192965202624614,
    0.3535261635680773,
    0.3794698946774959,
    0.2775686944703065,
    0.25365301354932845,
    0.2717713695861712,
    0.24199248833374207,
    0.22929812185378187,
    0.20742119629651898,
    0.22470762999304758,
    0.25621312285357295,
    0.2666576589753057,
    0.24042922323894445,
    0.24962377404966796,
    0.2713040915774609,
    0.22039427483199367,
    0.24343239243995224,
    0.2618610244645924,
    0.2961407384971404,
    0.2818751896109732,
    0.26793961482480044,
    0.25559095153444567,
    0.3096234843847985,
    0.22966856147901468,
    0.2874768239533329,
    0.2752879531200471,
    0.33552654769978035,
    0.2701591467277172,
    0.32189238095149814,
    0.30300282511905713,
    0.36668777364673927,
    0.2839351488316336,
    0.3534476177311145,
    0.3273793587664593,
    0.40375941958353884,
    0.26984205488738344,
    0.22733496626802807,
    0.2639565976297084,
    0.26775734897813125,
    0.23010056838013365,
    0.23465439884469744,
    0.28359061926612633,
    0.3028028869828417,
    0.2492671618900441,
    0.23872649443910524,
    0.27886514476415214,
    0.29306401458807924,
    0.25263417446260544,
    0.2665267242309678,
    0.31477013062486886,
    0.3288355581829375,
    0.26938552254573744,
    0.30280231595175144,
    0.31222301210749404,
    0.3550029075231682,
    0.2862545269837782,
    0.3317737769928613,
    0.34737342081973294,
    0.39351702303344344,
    0.30805962242105694,
    0.3559118348642908,
    0.3561664686492307,
    0.40472526444908247,
    0.33761334682416955,
    0.3914248565633033,
    0.3989146482888842,
    0.4568017757417677,
    0.32793113495793813,
    0.2959898635330829,
    0.30370535674352556,
    0.26248746688809393,
    0.30429406325403224,
    0.2703343082685654,
    0.278950842133176,
    0.24208289368146604,
    0.3007865887195048,
    0.26872012580678073,
    0.267884966187661,
    0.2297834703155462,
    0.2772956730682082,
    0.24477540081627733,
    0.24652228948820412,
    0.2700466923773358,
    0.28103181865459254,
    0.2584185839589349,
    0.23703045865938363,
    0.21846634885894659,
    0.2495111743480065,
    0.23655118885195017,
    0.2222132512959699,
    0.25510796351704706,
    0.26437658393461133,
    0.23847695232024083,
    0.21872546413653685,
    0.2489704933641569,
    0.2383243961978278,
    0.27700842129185455,
    0.25344913577820305,
    0.2877448112893497,
    0.30563921592974624,
    0.2539647612410404,
    0.28436631873695956,
    0.2298353647697649,
    0.289033960398753,
    0.2401710155502686,
    0.26380932820565467,
    0.2751354875787476,
    0.2666679336935939,
    0.21758068716919235,
    0.23738227000344525,
    0.22710997555711712,
    0.25043807875723273,
    0.25104902068321466,
    0.28337164406167087,
    0.289803742876552,
    0.25842663614894107,
    0.2227224736825359,
    0.2237046072367209,
    0.24103277735622028,
    0.24061203370436843,
    0.2638601409159666,
    0.2685832557760389,
    0.2863462845178243,
    0.23204614112317545,
    0.24394257695119362,
    0.24475295158962862,
    0.2568132132126394,
    0.2710506030944258,
    0.29246364113626294,
    0.2945879480744967,
    0.3075053726003212,
    0.30532954344703106,
    0.277458373843461,
    0.27307970006828375,
    0.2401414450349923,
    0.26619696177220875,
    0.2404866282380192,
    0.2416036889086804,
    0.27326241203715995,
    0.2836429590834748,
    0.2550490807965335,
    0.24261953217558235,
    0.26381112378567834,
    0.24609256950877118,
    0.2762982846495296,
    0.2743988823814785,
    0.3095211488996581,
    0.25869275974763833,
    0.2433642146459802,
    0.21895357769284274,
    0.2590377011936805,
    0.22647879001245227,
    0.2719646665070227,
    0.2439266183378896,
    0.2868286993114322,
    0.2451209533658078,
    0.2893787770282349,
    0.25117452046814404,
    0.29528525559926977,
    0.2702918706276372,
    0.32367375723592506,
    0.27698124043496875,
    0.32754609205684976,
    0.2864409591136904,
    0.2425766967156239,
    0.2587881250835899,
    0.262744202455046,
    0.25627546701594567,
    0.26816288062824545,
    0.29472940877604864,
    0.3160609559971443,
    0.2534796180551776,
    0.2489038359663274,
    0.26354401603827954,
    0.2743314868216449,
    0.2751472775581925,
    0.29605366902069485,
    0.3185137137754713,
    0.3357059691155927,
    0.23985711390803208,
    0.2690619688665652,
    0.26086116696776696,
    0.2900292036225503,
    0.27367109208320683,
    0.3053440042026988,
    0.3002139545594003,
    0.3269909571892552,
    0.27153169675840366,
    0.30653937341050175,
    0.282419990635763,
    0.30929922371328983,
    0.3116265591165494,
    0.34747782513448094,
    0.3270171960083336,
    0.35497379177560284,
    0.284102813400721,
    0.25105447437884976,
    0.2700720959769805,
    0.2316307164911068,
    0.25565530571619904,
    0.2223424944573701,
    0.2435266153058518,
    0.2667947548673606,
    0.2599507920474895,
    0.22788869935796682,
    0.23640973042371707,
    0.2502088529525024,
    0.23386726341840516,
    0.2532205870428471,
    0.2734215939190466,
    0.2953169405080512,
    0.23947483577837744,
    0.22052619665510978,
    0.21545901116934374,
    0.2470807304811955,
    0.2136367413981434,
    0.24981285180803195,
    0.24118173386728523,
    0.2740979009899069,
    0.22367039012365914,
    0.25887807288930353,
    0.24721974842053027,
    0.27937751216297063,
    0.2531828626809721,
    0.29416324967225127,
    0.2743279476768391,
    0.3066869089049131,
    0.26837357850930615,
    0.21914528076607992,
    0.2556304531907225,
    0.25356335636774724,
    0.24622210781557718,
    0.2500479332984869,
    0.2964547543115876,
    0.30818680584354297,
    0.2325848167156955,
    0.22118170318970715,
    0.25850367395939106,
    0.2601156076801874,
    0.26245741663832484,
    0.2697516565065112,
    0.3185990917915109,
    0.3220000886182755,
    0.22408772389655893,
    0.2438786140776925,
    0.25857967838325496,
    0.27569040933877287,
    0.26110684524744904,
    0.2824280942583439,
    0.29935925369419414,
    0.31280241181762963,
    0.25051408047916196,
    0.27154283634605114,
    0.281158474936568,
    0.2932232557776412,
    0.2935343484504899,
    0.3147933112081171,
    0.32868312258645754,
    0.3344351757897959,
    0.2634719090352941,
    0.23626969699668687,
    0.24148250246192943,
    0.26567434420535757,
    0.22269336966295306,
    0.25233056093708445,
    0.26713919779659195,
    0.30094796176327726,
    0.24357021686131564,
    0.26175892001405104,
    0.266129883905636,
    0.29853080942685084,
    0.2593019488391831,
    0.29559112190168074,
    0.3031019005474522,
    0.3412261704021927,
    0.2241441139357609,
    0.2782768333386333,
    0.2511237117568343,
    0.3030305836487513,
    0.2417936622233065,
    0.29619777009314585,
    0.26554958601158385,
    0.31835820420325134,
    0.26881092079019175,
    0.33078462030272626,
    0.28730118334997634,
    0.34725802379363024,
    0.28848177034947564,
    0.3562709485807028,
    0.3016765807092208,
    0.3656616494599291,
    0.24967360682487433,
    0.25062248187243125,
    0.28534109194343615,
    0.3025404808577853,
    0.27188970830879394,
    0.2910440634519327,
    0.3324513084878795,
    0.3560324448764454,
    0.26030823091177374,
    0.27721605988430004,
    0.30259902825806206,
    0.31503685970091505,
    0.3030187030632559,
    0.32168948415468573,
    0.36042139352456926,
    0.38040692607166254,
    0.2666466350984305,
    0.3131701516970005,
    0.3046024909382864,
    0.3463970295629793,
    0.29961796926852574,
    0.337740371405408,
    0.3390058784678183,
    0.37153250661173554,
    0.3070054276906625,
    0.3593252365099422,
    0.33107582219014137,
    0.3765453315997669,
    0.3424681572319638,
    0.3919456544272374,
    0.3734525802914694,
    0.4140081620149088,
    0.32751423704148175,
    0.30048454383105677,
    0.3207436242879765,
    0.2836278839641981,
    0.26229607529426385,
    0.2388708254273212,
    0.26640197294730167,
    0.23484630408543883,
    0.2978644837564178,
    0.2696693648712656,
    0.27715423496840763,
    0.24337401552300209,
    0.24484951381920803,
    0.21842915669820867,
    0.23022794827055437,
    0.25373615951652717,
    0.3321695129384989,
    0.3053185051516515,
    0.2913706240802476,
    0.27234336060925396,
    0.2675207544077905,
    0.25678832477910485,
    0.260650826561607,
    0.3021595086209325,
    0.30439859484885873,
    0.2750460137778228,
    0.2616439633477696,
    0.30163740581900933,
    0.25808436083989394,
    0.3026511272280849,
    0.2918932288439517,
    0.33580152778986194,
    0.3085815158489833,
    0.25814876967294054,
    0.30225158871144303,
    0.24763255554264896,
    0.2526818303466669,
    0.21189149241613592,
    0.25173278284509387,
    0.2636660965083669,
    0.2679687690256241,
    0.21997858812236612,
    0.2510800898213839,
    0.24564308702204585,
    0.2214608583998615,
    0.2225132823247158,
    0.2653229987345446,
    0.2712516560417872,
    0.3094924399418253,
    0.26551865663675406,
    0.2781797103581315,
    0.3020267620970743,
    0.2586622296142317,
    0.2878053894616509,
    0.31161193160760225,
    0.3386075977591606,
    0.2703146384899355,
    0.2863296359241281,
    0.2982337568209373,
    0.3194125642610816,
    0.2921314747222641,
    0.3212949969866501,
    0.3368867801478598,
    0.3622742536950565,
    0.2944847427362463,
    0.2753816000303439,
    0.2815415495610422,
    0.25278651681263425,
    0.22896566946596003,
    0.21148344383659953,
    0.22277981345589265,
    0.2534389387797341,
    0.2705329290916159,
    0.24763545101284767,
    0.24535433251383446,
    0.271220980758986,
    0.213097788131999,
    0.2407619744623245,
    0.24433871819087943,
    0.2733636341945002,
    0.2973789521032933,
    0.2797108408061484,
    0.26635100430006353,
    0.3183321688081602,
    0.2381242743609838,
    0.2910522726095282,
    0.27649041488372866,
    0.32828712997505716,
    0.2752095076586065,
    0.3262960124236945,
    0.30153775145933187,
    0.35870394779140696,
    0.2871776975149051,
    0.3463569074220961,
    0.31220957457623133,
    0.37107487280478757,
    0.27947332900309013,
    0.2411064102208503,
    0.2678979381395665,
    0.2767296970521562,
    0.22137368664680324,
    0.2346785495261625,
    0.27063559575404667,
    0.2882246464655101,
    0.24614027584809833,
    0.2442414679710207,
    0.27177441963815485,
    0.2892474433849444,
    0.23868321773898685,
    0.25627617464736735,
    0.28457457770708716,
    0.2953111200452869,
    0.2795568955012344,
    0.31413624408205154,
    0.32027057747561627,
    0.3610951374071312,
    0.2896658941575065,
    0.3307849994730953,
    0.3385981918171624,
    0.3757908078629374,
    0.30988974783445966,
    0.3540278050899955,
    0.34716980118862917,
    0.3907186175610373,
    0.3313157946996844,
    0.37680617647999864,
    0.3689768629751034,
    0.4093651078677707,
    0.28554587117756264,
    0.2553070024098546,
    0.2831165935333813,
    0.24844286341169752,
    0.22543877585018054,
    0.1993392458485944,
    0.23617078906490552,
    0.26192541833674043,
    0.25757130885520535,
    0.22786814015453227,
    0.2447485415984521,
    0.2652972835560427,
    0.2068387397764459,
    0.2253940118992517,
    0.2582022819560096,
    0.280068524613355,
    0.28659332504925944,
    0.2638613279299037,
    0.2683692055581442,
    0.3133223062647227,
    0.23222308414794648,
    0.2788659975963992,
    0.28868815794547964,
    0.33749771103932,
    0.2616168510833715,
    0.3045469793570501,
    0.3026663141666421,
    0.35040519455898883,
    0.2774325733240622,
    0.32823828913807407,
    0.32649344504228267,
    0.3802393054947294,
    0.2723030031237497,
    0.2221454348037863,
    0.26910027151880195,
    0.2719976081981639,
    0.2191035183154528,
    0.22224890205093886,
    0.2853878850841157,
    0.297523243033929,
    0.23347338889124167,
    0.2221284441166633,
    0.2746033229475823,
    0.28085006347205876,
    0.2315648445462858,
    0.23716497589406896,
    0.3002454884952854,
    0.3032486512370108,
    0.27086878967161526,
    0.2940733119185842,
    0.32289867875613937,
    0.3506459255035704,
    0.2834505099024837,
    0.3164931972108749,
    0.3520671765091805,
    0.3861809116589591,
    0.29611196777002846,
    0.3249434578811251,
    0.3502209725575599,
    0.378314188043948,
    0.3180967650097265,
    0.353203629178403,
    0.38616164729991975,
    0.4229008793664182,
    0.26066434155220386,
    0.2371495958973634,
    0.2508602112881167,
    0.28256667977939537,
    0.19849628835657096,
    0.22664943358626943,
    0.25133534651790657,
    0.28443456408553397,
    0.23573783228928952,
    0.25555658342900894,
    0.2738353686934299,
    0.3110250566713651,
    0.22716994680899594,
    0.25797025512727356,
    0.2761644757720427,
    0.30661539389053394,
    0.26070758657578963,
    0.32433644710494186,
    0.30935903936572673,
    0.3783049397064366,
    0.25906648606629773,
    0.32580320666698737,
    0.30766667997530234,
    0.3788499265442628,
    0.30680050849134266,
    0.3786378984687847,
    0.35417757695447355,
    0.43595404530056425,
    0.31121312482992014,
    0.38975670120717737,
    0.35485835787265413,
    0.44365384307794803,
    0.24948920333867214,
    0.2500856297016595,
    0.2984705224217672,
    0.3205023367815208,
    0.24187444369462063,
    0.25868772053411726,
    0.3099560395618589,
    0.32929517976775485,
    0.2560195374177726,
    0.2733499679475419,
    0.31835619423046896,
    0.33700649020239315,
    0.2640997147416627,
    0.2772131863631349,
    0.32794788725959656,
    0.3391133471809768,
    0.3140815514455339,
    0.36927137089268763,
    0.3772464973658255,
    0.43679891018598094,
    0.3217170297523771,
    0.37804116012282857,
    0.3885030282983356,
    0.4490788538612003,
    0.3562956419596828,
    0.4200769493339916,
    0.41840215671122216,
    0.4925672936322916,
    0.3673845773317661,
    0.43615315906164226,
    0.4372068568747963,
    0.5203071982733144,
    0.30968429557744903,
    0.2790574490767648,
    0.2804636736514048,
    0.243149395722161,
    0.2616421294206134,
    0.23353334150060687,
    0.24857809739890147,
    0.274857961592406,
    0.26834634850360245,
    0.23974371149175588,
    0.23643288735490495,
    0.2560850453274782,
    0.22794659432110378,
    0.2562351188996833,
    0.2670275490139801,
    0.28997838193678455,
    0.2637078382395578,
    0.24654062515822378,
    0.22796621966172767,
    0.26425728736389026,
    0.2311208690627113,
    0.27201580851018486,
    0.2537412179998794,
    0.291905648397452,
    0.2314442853795686,
    0.2701178336832965,
    0.24680461819289,
    0.2820550477141317,
    0.25769161817139874,
    0.29994155709919934,
    0.27139305297997995,
    0.30611011881614436,
    0.2879780942496869,
    0.23664060930657407,
    0.26052224869679225,
    0.2613543720618661,
    0.2455166284469462,
    0.25533760196570093,
    0.29235826171581536,
    0.3035082323510118,
    0.23670036907521666,
    0.2308641852336997,
    0.2592336741553863,
    0.2614466972384985,
    0.25451028132540254,
    0.26558807710569127,
    0.3038291431187737,
    0.30683504232548875,
    0.2408503462517365,
    0.26417738430419324,
    0.2654501210298888,
    0.2841906703489994,
    0.27186321317968576,
    0.2959125627079223,
    0.30012828945541187,
    0.31697100387797333,
    0.2542601047703441,
    0.2754870515178164,
    0.27375286915635766,
    0.28698646088597574,
    0.2887777754820481,
    0.3113268004222068,
    0.3113000791957565,
    0.31958482410002464,
    0.28142887094270974,
    0.25583637394014724,
    0.2475064795221558,
    0.27817221555983473,
    0.22575199318215738,
    0.2620988673159883,
    0.268867272926278,
    0.3026436688858066,
    0.24636955714665884,
    0.2714012017267879,
    0.26464713376751053,
    0.2988479773871658,
    0.25282340077732507,
    0.29044383422704917,
    0.28845357834370944,
    0.32156332415292954,
    0.24319024895000946,
    0.2965991320647883,
    0.2617230240971223,
    0.31294837683060395,
    0.2539986512367187,
    0.30636881069727206,
    0.2725488602275977,
    0.32234373730469035,
    0.27450650019548145,
    0.33161968076051385,
    0.2829244890737616,
    0.33860145924659096,
    0.2883822792772476,
    0.34617505107349944,
    0.29015769627445237,
    0.3422772162062035,
    0.2631571547780536,
    0.2685984872791298,
    0.29171684697453176,
    0.30924598415165383,
    0.2706347850871049,
    0.2910956893231011,
    0.32277672944251523,
    0.3417971916810738,
    0.2625464140435742,
    0.28272402706179683,
    0.29867926784640925,
    0.31195679858417746,
    0.2886963566764489,
    0.3072273991341543,
    0.3342530394177444,
    0.34665697755141284,
    0.284304229852297,
    0.3260022711371043,
    0.30963048651157055,
    0.34780863207570334,
    0.3046273649916414,
    0.3395481784094897,
    0.33242730397983705,
    0.3605345453715158,
    0.3067900464885372,
    0.3514059183392673,
    0.31951150803449874,
    0.3577787227405072,
    0.33090478173294924,
    0.370116122919301,
    0.3435030372958311,
    0.368592568240005,
    0.2669161600593255,
    0.2372166283298485,
    0.2477217974058879,
    0.2751161855224389,
    0.2194851151172346,
    0.24793552052700613,
    0.2739534679123983,
    0.30274666900201114,
    0.23114345866456534,
    0.24969459688595622,
    0.2634937245308476,
    0.2898187510850752,
    0.24193106744809967,
    0.26866529176862675,
    0.29018857954927113,
    0.31329204170985453,
    0.23039364565018308,
    0.2738766719228435,
    0.26008129998125884,
    0.30293536812169636,
    0.24169066145045887,
    0.28665003930364696,
    0.2721647429447843,
    0.3159143217689395,
    0.25574322852828646,
    0.30084659903031247,
    0.282526544651513,
    0.32563931670463625,
    0.26901482013877687,
    0.31699454709842784,
    0.2891408470317197,
    0.3264588651183623,
    0.24912619713890324,
    0.24764275940059613,
    0.29122957116200626,
    0.3015676612489866,
    0.2622108532785712,
    0.27341857691869714,
    0.3266144881645778,
    0.3400962606354855,
    0.24730765051634934,
    0.2549177120998326,
    0.29697628014386196,
    0.29962253745830825,
    0.27425220100943754,
    0.2801033484595394,
    0.33594512338226334,
    0.33782692401254955,
    0.2692558702517632,
    0.2966267998662682,
    0.3071261853436179,
    0.33081031336524463,
    0.28977913952484824,
    0.31592634531145697,
    0.33149356091423676,
    0.35032587388378283,
    0.28500185664232486,
    0.3118532030796938,
    0.32038585007759923,
    0.3403055784925495,
    0.3075968386339643,
    0.3334102541703565,
    0.34458163317292445,
    0.34912786903979054,
    0.2439310128997252,
    0.2737163788298634,
    0.28278039643048736,
    0.32074043891220344,
    0.2437241742626086,
    0.281252853351187,
    0.2968562191658377,
    0.33721760469472606,
    0.26216306614133655,
    0.3018127889832206,
    0.3038290044825738,
    0.3444394706454123,
    0.27159089912789053,
    0.30943183691346116,
    0.31631788887778683,
    0.35570175024056305,
    0.27288235644512304,
    0.3429867228931056,
    0.30324615863582355,
    0.37578074933581784,
    0.2665881270268395,
    0.33387985600535885,
    0.2936755088540328,
    0.3624751163291824,
    0.30830524232749823,
    0.3884121126913969,
    0.3317010333536602,
    0.4176517439895461,
    0.30385705141107905,
    0.3842848228891389,
    0.3120923708760052,
    0.38947356077510903,
    0.2796749595972761,
    0.3018077515540737,
    0.3381134887393564,
    0.3618443488979787,
    0.2958134855311394,
    0.3164289032244895,
    0.3644708721004785,
    0.3920662331233663,
    0.29675843751596787,
    0.31865095756821404,
    0.3476636113397121,
    0.3676804406082496,
    0.3144287146111448,
    0.3326632026517486,
    0.37835096312163624,
    0.3991498293304378,
    0.3234435126843453,
    0.3852461357603337,
    0.3668713497619994,
    0.431830148542827,
    0.3290729561979754,
    0.3796586259236801,
    0.37554127857753283,
    0.4260121267714756,
    0.3528227879062022,
    0.42668916604621276,
    0.38855034606181527,
    0.47018074358250195,
    0.3612635937272311,
    0.427792017693196,
    0.3964238186690475,
    0.46306206131234995,
    0.36798797649344067,
    0.33978891073422923,
    0.3632022479749073,
    0.3173309097300436,
    0.32207917516999457,
    0.29610204278129915,
    0.3185877605994356,
    0.2778885517799291,
    0.35855964453304817,
    0.3256234170738452,
    0.3406662676448019,
    0.29624209949266783,
    0.31679965053946685,
    0.2861409079680593,
    0.2977510776531323,
    0.2568500926669301,
    0.3581877223890771,
    0.3363847319599972,
    0.316486893709455,
    0.2886255708607699,
    0.2961930760760001,
    0.2805504375621067,
    0.2661768987388769,
    0.2610423087448016,
    0.35145379050539693,
    0.3245065662142341,
    0.3018927158431171,
    0.27881950003396544,
    0.29551076593732467,
    0.2836508476011929,
    0.2698949141882404,
    0.3154205070857691,
    0.33378792355837755,
    0.28947672087791143,
    0.33316563989059883,
    0.2774720119052423,
    0.30544872682132246,
    0.2634576856233916,
    0.2998213076017547,
    0.24940959328735515,
    0.3144163067199319,
    0.2672442115135391,
    0.30083016867926465,
    0.24627561963959935,
    0.28634600447362896,
    0.24211015223994042,
    0.2694726240613069,
    0.27717341880082325,
    0.3262831194488482,
    0.29173153613623026,
    0.29318727228028013,
    0.2570698141041756,
    0.281760185850985,
    0.25418580385935247,
    0.26710495300522347,
    0.29551165904129095,
    0.3090965365335727,
    0.2720532057202798,
    0.269166246819578,
    0.2962389280150954,
    0.26984958691999833,
    0.305093032421375,
    0.31252432639778976,
    0.3425833900474638,
    0.31920757813262834,
    0.3041044511413275,
    0.30705247704659683,
    0.27627584808953254,
    0.2615997841472202,
    0.250541672802824,
    0.2530709934317843,
    0.23074667931448894,
    0.3164881408991809,
    0.29347509105270525,
    0.29490604920943764,
    0.2625913517173099,
    0.2621904087487305,
    0.2440788317607369,
    0.24169221296378054,
    0.27682322555683314,
    0.31532343250668765,
    0.3055394586257907,
    0.2722317475642131,
    0.26395769177117256,
    0.24749999794022845,
    0.2534146272693117,
    0.2316071992915005,
    0.2825659021673725,
    0.3102710211744821,
    0.29390479308016587,
    0.26627291145449655,
    0.32009346100938324,
    0.2557921156884978,
    0.3183322467134121,
    0.284167335869579,
    0.3459138434580502,
    0.29743972429326065,
    0.2652672307440982,
    0.2893716587882999,
    0.2459586545905934,
    0.2549551588433474,
    0.2260515267172149,
    0.245393222209401,
    0.2660783510203555,
    0.2845012151265078,
    0.24670343297512687,
    0.26486311670417373,
    0.267265196389571,
    0.24222328123309098,
    0.25595560404368706,
    0.28141827670427066,
    0.30147707735681684,
    0.2919730805937353,
    0.2688497841039453,
    0.259330923528369,
    0.29741169575824694,
    0.24422716260642838,
    0.28801853609994993,
    0.2859900592596132,
    0.3247025925990712,
    0.277606833699145,
    0.31553284126589953,
    0.3034914946539835,
    0.3449839326654196,
    0.29745465565552126,
    0.3470682328927417,
    0.33519714493638353,
    0.3800056510673411,
    0.31704077460263996,
    0.2875623056171361,
    0.3174853292916345,
    0.27946702300732923,
    0.26478348612146224,
    0.23984479483773483,
    0.268398868170756,
    0.23908369028227963,
    0.3112333880719643,
    0.27785852764266933,
    0.2994741185442888,
    0.2599614169050146,
    0.26399248319183377,
    0.23374628085159002,
    0.25376263984960806,
    0.2805708060405065,
    0.30417855164004914,
    0.28652600168466735,
    0.27989993085690046,
    0.26681031763082325,
    0.24142072543712217,
    0.24060576887307433,
    0.2439902972941755,
    0.2901059914936815,
    0.3005589573095099,
    0.2774333402659335,
    0.2766966056203611,
    0.32508845717478674,
    0.2534746838504479,
    0.3055322063009564,
    0.30258424164808345,
    0.3575080241485896,
    0.29594700778279115,
    0.2526019890251498,
    0.29768391330538124,
    0.2493192683322457,
    0.2575634781944045,
    0.218058545481133,
    0.2581987458893148,
    0.27599709188158844,
    0.27853333315604645,
    0.23341769900340414,
    0.2690636570083455,
    0.26867500791148563,
    0.24180763914441536,
    0.24619405616636098,
    0.2949340772425007,
    0.3075372735099726,
    0.28390776692001585,
    0.2529536720425142,
    0.26808147393846626,
    0.3008789830505386,
    0.24005857844375222,
    0.2736224648433233,
    0.2995277803349846,
    0.33309101868625096,
    0.2690665643372368,
    0.2987462949801819,
    0.31620628357718067,
    0.3515160658169636,
    0.29386979326357254,
    0.3315594443694447,
    0.3573418184706209,
    0.3960954412952605,
    0.2829434821295173,
    0.26262032425795157,
    0.2736081850958343,
    0.24571110907673724,
    0.22094690114371648,
    0.20654469733407613,
    0.22046650848136945,
    0.25570861825796354,
    0.2786306916863461,
    0.25268687069244855,
    0.26245831211609655,
    0.2883194645051235,
    0.221644477271915,
    0.25179993917454513,
    0.26930918463608644,
    0.3061489502075336,
    0.274129338888461,
    0.2710481278301895,
    0.25324321100662855,
    0.31342231129456694,
    0.21357660307811316,
    0.2780398218915328,
    0.2567606606991288,
    0.32269054361374505,
    0.2689853929538742,
    0.3351340692754076,
    0.31229013633869723,
    0.3854521572733123,
    0.2759000239875143,
    0.35296502671624247,
    0.32192903984239873,
    0.4069563241488661,
    0.26859029267471884,
    0.23396687382170184,
    0.26164476548050664,
    0.2733809921447122,
    0.21937222540189139,
    0.23529327156327584,
    0.27535021117930575,
    0.30071490279844554,
    0.2541088687022141,
    0.2545702831452849,
    0.2921523646007122,
    0.31289851590213913,
    0.2549742806024195,
    0.276574432888478,
    0.3196058514749564,
    0.34087223461627364,
    0.25849378593792166,
    0.30737199237900664,
    0.30635229031286704,
    0.35848461022646433,
    0.2667162639775836,
    0.3191523827026699,
    0.32471778861591494,
    0.3775154575649184,
    0.30810261266637,
    0.3696903353496959,
    0.36265321254243327,
    0.42658177924278173,
    0.32699681189928753,
    0.3907894782033944,
    0.3912527327080605,
    0.4618031587153266,
    0.35517631577269654,
    0.3253323574907409,
    0.3308693935309129,
    0.2888120507841217,
    0.32109249680869306,
    0.2920020376182084,
    0.29493232731172314,
    0.2653126223520773,
    0.3348226894723862,
    0.3035837140830824,
    0.30193886154839455,
    0.26140341900002884,
    0.30378867981585606,
    0.27349056890654766,
    0.27420697455263027,
    0.30623851455327156,
    0.2886511341883652,
    0.27264534583594263,
    0.24157299424951706,
    0.23182158732159006,
    0.25420197861680416,
    0.2513609998922326,
    0.22819616372690638,
    0.2672198639242772,
    0.27846138413775384,
    0.2598510578920323,
    0.23451579225560337,
    0.27362562452205974,
    0.2564173362378185,
    0.3053188122794635,
    0.2687896268594144,
    0.31283474067959705,
    0.3216768410764089,
    0.2763545295664103,
    0.3011509835473414,
    0.25013393720016724,
    0.2985215123580695,
    0.2550007744293149,
    0.2747689644294281,
    0.29527557183438735,
    0.2898065532595116,
    0.24545911426169933,
    0.261020501717356,
    0.2628595309066641,
    0.2694007138784659,
    0.2819806895647402,
    0.3082768857539758,
    0.32522843101931836,
    0.2613552539187884,
    0.2329657391358859,
    0.2289763867219517,
    0.2538066097356277,
    0.2469793998022582,
    0.27749940671167,
    0.27242265936768584,
    0.29551700355167715,
    0.24131394856415675,
    0.269029339293851,
    0.25857187064903864,
    0.2826375200749515,
    0.2895370614437381,
    0.3229726115786408,
    0.3088432247188228,
    0.3330264853875858,
    0.3174116462812933,
    0.29511580460078757,
    0.2871412971735637,
    0.2560847263348929,
    0.26484615049311633,
    0.24782823733220286,
    0.2480250684175041,
    0.28763542320895136,
    0.3033181169534638,
    0.2782321876848525,
    0.26398453023365404,
    0.29418359151068135,
    0.25503633536379194,
    0.2972840643625189,
    0.29322020013779804,
    0.33785962477875203,
    0.25871228980546224,
    0.2540696438693469,
    0.2190436778544249,
    0.2651854761829282,
    0.2242851664956922,
    0.27880075221479,
    0.23908470898048667,
    0.28939753141490165,
    0.24993404883284528,
    0.30699306998331055,
    0.25750910431406593,
    0.3106202687701114,
    0.2762399055849789,
    0.34103398352473663,
    0.2804665559055418,
    0.3419975595638406,
    0.2923382189390381,
    0.25514871780825,
    0.26689901646345976,
    0.2810010640894723,
    0.2506857693368269,
    0.2727387530057839,
    0.29699662617473743,
    0.32530527040202706,
    0.266585365010828,
    0.2728363284920327,
    0.2862202675249533,
    0.3055999040072035,
    0.28476013190469973,
    0.31406553932835135,
    0.3346062349436201,
    0.36150077377483375,
    0.23665460928990734,
    0.27763644772354296,
    0.2582816124773044,
    0.29341984507701163,
    0.2692943804871023,
    0.3090834171679015,
    0.29245270804985063,
    0.3247323203107856,
    0.2765634370840262,
    0.32298893104321186,
    0.28510641331976555,
    0.3225160913669867,
    0.31628256866743165,
    0.3647924855347146,
    0.3276997817448567,
    0.3674605799184804,
    0.3101198470904977,
    0.27915690907852014,
    0.294057411443748,
    0.25687330562737126,
    0.26733137570541377,
    0.23915016583512583,
    0.2580927099333989,
    0.2909791498664777,
    0.29483954366029536,
    0.2619972182517959,
    0.2664570030163911,
    0.2915203119424054,
    0.2562553878369822,
    0.28733521824937586,
    0.3000707255578972,
    0.33228626937767264,
    0.24390361723368678,
    0.23438121602313763,
    0.22328883637951083,
    0.26206036353132356,
    0.21827523564035062,
    0.25966520075013183,
    0.24513497450220767,
    0.28306097209119735,
    0.24051916816689012,
    0.28608776180682405,
    0.26569183605109464,
    0.30790065809509015,
    0.2727320079275216,
    0.32088566058114903,
    0.28961000542769566,
    0.3303863765412551,
    0.28473185313163024,
    0.24119821190321858,
    0.27074903635458986,
    0.28342192010545403,
    0.2520406173928759,
    0.26786767859049965,
    0.3062620487159334,
    0.32917570695903525,
    0.2580074474676017,
    0.2585907306588087,
    0.2906046505716225,
    0.3050774345818933,
    0.28634448693339204,
    0.3044762658380069,
    0.34259757965078036,
    0.35985691080929466,
    0.2248270904742613,
    0.25674025400159206,
    0.2633840235633506,
    0.29092635563144054,
    0.2642476115923498,
    0.2900611644112556,
    0.30021227903103404,
    0.3183041164965119,
    0.2667498448443133,
    0.3006018168030539,
    0.2970531964197778,
    0.3252934082613918,
    0.31373316322109857,
    0.34466118063578,
    0.34293706655267586,
    0.3604019735053119,
    0.2811215700422469,
    0.25650583613031447,
    0.25766289161214034,
    0.2931586634598703,
    0.22402144983902744,
    0.2641703508976023,
    0.2752784888656974,
    0.31929899795893507,
    0.2686550653014916,
    0.29494753175081356,
    0.29846911497162154,
    0.33864709959597533,
    0.27642378315743843,
    0.32066425999181114,
    0.32477534637248023,
    0.37326653067817117,
    0.22714651401092406,
    0.2882808022897925,
    0.25206835626014185,
    0.3113861010781621,
    0.2347845989936227,
    0.29162115165710795,
    0.2568882998584614,
    0.30960427171271243,
    0.27974380887527833,
    0.3515156841492583,
    0.29540885484687845,
    0.3650992649269821,
    0.2916415976314571,
    0.36310237845762233,
    0.30057588288523257,
    0.36335124961943305,
    0.2613291226588832,
    0.2719524594037247,
    0.3039261313091701,
    0.3308604761750236,
    0.2716404321552523,
    0.2977259788920266,
    0.3357153779809235,
    0.36932533337675943,
    0.28628161913609845,
    0.3120600132827691,
    0.3350187505637809,
    0.35959733504627633,
    0.3178712919076655,
    0.34439319620181696,
    0.3797415366744287,
    0.4121510903988544,
    0.2663892132906053,
    0.3200424514657057,
    0.3022556375032994,
    0.3522921169915942,
    0.28879629398078427,
    0.3259641859043444,
    0.3256436916155676,
    0.35273061387451304,
    0.3141638307711979,
    0.3794442685711478,
    0.33428429412278576,
    0.39420033184367015,
    0.34303556585207223,
    0.39722053212819153,
    0.3673174868932152,
    0.4056960086758817,
    0.35343466782760186,
    0.32384993791218986,
    0.33886856246866676,
    0.296318223463578,
    0.2773523252882235,
    0.2579565654618471,
    0.27482243500602405,
    0.2474268113354118,
    0.3218321368941278,
    0.2925174901710085,
    0.3021218501688071,
    0.26290108201676216,
    0.26035783967396847,
    0.23740677593804083,
    0.24829818003555298,
    0.2757030953727251,
    0.34081883247613465,
    0.3180265346501088,
    0.2960867996631818,
    0.28269522114163753,
    0.26156253730443385,
    0.2633410044406287,
    0.2556468826229438,
    0.30048931295274367,
    0.31529864498031335,
    0.29342403454950744,
    0.27805206827301576,
    0.3242454072023077,
    0.26255493628454984,
    0.3168343717884907,
    0.2948211882478906,
    0.34556415676051144,
    0.32200986857432695,
    0.27637484390852046,
    0.31118065454535304,
    0.25767112719403784,
    0.26237338522772036,
    0.22724223943282595,
    0.25835651831785317,
    0.2761497945232186,
    0.2802483866759072,
    0.23839312696600767,
    0.26558513681587914,
    0.2686462392802376,
    0.23231753937432598,
    0.2472432794056634,
    0.28091087916412727,
    0.2950094555092906,
    0.31140922070979143,
    0.27501476144359055,
    0.28179934680082547,
    0.3120924277087555,
    0.25723046617665196,
    0.29431066057278066,
    0.30383206149467834,
    0.3356582468975873,
    0.27316442475525404,
    0.30715340507457617,
    0.3092187612137196,
    0.34181768356416203,
    0.29502269494591027,
    0.33680225550910076,
    0.33698602715495246,
    0.3730422558706953,
    0.30165930508174027,
    0.2848317663360189,
    0.2827695245123436,
    0.25345983970430286,
    0.22838116564735336,
    0.21801011804358356,
    0.2241357240278917,
    0.25821559284149465,
    0.279139114136439,
    0.25892575661173245,
    0.25595939485993335,
    0.28592890279190497,
    0.21656148893763544,
    0.25625854320645625,
    0.2568611768992289,
    0.2924616649856096,
    0.29490166240613075,
    0.28836975837123446,
    0.2638253610917595,
    0.3187472257025006,
    0.23025846390849916,
    0.2919849974964034,
    0.2634736165444356,
    0.3210204392456246,
    0.2769177463001001,
    0.34118853985087483,
    0.3067446529835093,
    0.37102286351126695,
    0.2834108474992866,
    0.355309484050101,
    0.30833257576633216,
    0.3785868263335848,
    0.2790815650443073,
    0.24694732986938955,
    0.2644744013277448,
    0.2785790707605077,
    0.21827637544752854,
    0.24303228775428742,
    0.2691366848374537,
    0.29196822943631917,
    0.24713433574426677,
    0.2567645730841036,
    0.2811107779326109,
    0.3036847071132318,
    0.24397349604137566,
    0.27293544742437725,
    0.29456909891932276,
    0.3154633612098183,
    0.2722776034670134,
    0.3212649805639672,
    0.31279443768638626,
    0.3591803029079191,
    0.27934835756186355,
    0.33092370668848914,
    0.3217396091798319,
    0.3664509694077795,
    0.30895136696431624,
    0.366027842258985,
    0.3467336322905761,
    0.4014855943960805,
    0.32460110549514537,
    0.38640693768540846,
    0.36111448245650085,
    0.41754874628765937,
    0.3082615233375672,
    0.27758997070737906,
    0.29797297629227054,
    0.2617193243844798,
    0.23270901138329877,
    0.2123791278529077,
    0.2423145104717453,
    0.2739690308255147,
    0.28262174479803304,
    0.2511653489272033,
    0.2658948589577396,
    0.2925364376909743,
    0.21871240999177055,
    0.2488044159376135,
    0.2731652876042262,
    0.3017401379485528,
    0.29278115591418036,
    0.27937257691052536,
    0.2783715678464386,
    0.3286146197616547,
    0.2291208449994648,
    0.2835642153840452,
    0.28313882934083207,
    0.3397601205901311,
    0.2773775722466373,
    0.3314175179984811,
    0.32646977428332286,
    0.38550558594177065,
    0.28317779770272367,
    0.34509734832203326,
    0.33385785615036584,
    0.4013194323007267,
    0.28548726069715485,
    0.24157242003609972,
    0.277241350694081,
    0.29083755321746274,
    0.2234184055439724,
    0.24034664955451718,
    0.2898704662011131,
    0.31165659311364596,
    0.24863900161997066,
    0.2503525286378328,
    0.2954576610068914,
    0.31164881506601366,
    0.2468072273857488,
    0.26496769869847114,
    0.3140949514659563,
    0.32942239235093734,
    0.27163988277030315,
    0.3106342434707858,
    0.3291079276936004,
    0.36878668485756266,
    0.27856342568077425,
    0.3205746354816347,
    0.3434630006602045,
    0.3881405937214348,
    0.30861522444798967,
    0.35275432228163633,
    0.36956068340155696,
    0.41758398748177633,
    0.32264686716605323,
    0.37211100819663206,
    0.3920061180766692,
    0.4487081503510541,
    0.26909751261573334,
    0.247224829894293,
    0.2525015888460905,
    0.28880925743581914,
    0.19505797181413792,
    0.2333466645301743,
    0.2498422689675484,
    0.28886296131037725,
    0.24809190124445352,
    0.27410867435435154,
    0.2903256927902152,
    0.33001977454606213,
    0.23453801305016916,
    0.2734822603971006,
    0.28676447408601485,
    0.3253968011225697,
    0.26101214269751216,
    0.3311635241862712,
    0.30682292459456884,
    0.38016829204262725,
    0.245600102058674,
    0.3213516583886542,
    0.2926519274241633,
    0.37284311020763167,
    0.3144360054374545,
    0.39596517771722534,
    0.36466515316781106,
    0.4574851655509249,
    0.30626888359828336,
    0.39903252792887034,
    0.35366011803145536,
    0.46071194946552674,
    0.25140051039320493,
    0.2628741711499819,
    0.2998860122183201,
    0.32725370640080226,
    0.23873211345724887,
    0.26585043531502045,
    0.30563158007219227,
    0.33467436998997435,
    0.26634568713313383,
    0.29254798083811273,
    0.33151546817279576,
    0.358654228929456,
    0.2698690546712366,
    0.29572594999278856,
    0.3364175935689103,
    0.36161535097302505,
    0.30941750851015704,
    0.3747115875740224,
    0.3696090690667521,
    0.43828766385302503,
    0.30419243829160647,
    0.37083154390572165,
    0.368574623761456,
    0.44102524239678964,
    0.35670614552294083,
    0.4360339112257603,
    0.4234092564209291,
    0.5166474504319563,
    0.35899073194695247,
    0.44622751102104485,
    0.43264295317552076,
    0.5433726250970441,
    0.3388064635622199,
    0.30804808811848994,
    0.3086175956097678,
    0.2705095122590996,
    0.2750251875822348,
    0.2546728424623946,
    0.2672958091852732,
    0.3017784224146221,
    0.30116508675755105,
    0.27213593712008527,
    0.26841595782729033,
    0.2985212000914255,
    0.24641611435699298,
    0.2873251659009795,
    0.29516319204743596,
    0.3288970790887399,
    0.27799139940635825,
    0.2687624035107255,
    0.2428662146478419,
    0.2846047323428232,
    0.24076251237494758,
    0.2906730550917424,
    0.2631029922437485,
    0.30888470505926574,
    0.25287228009876933,
    0.3016142711946867,
    0.2687513313706243,
    0.31363174736838234,
    0.27559533657645446,
    0.3302242221848359,
    0.2872495763341384,
    0.3346992759100627,
    0.30742997172597597,
    0.26020236950061143,
    0.2796299301144647,
    0.2928163993001666,
    0.25436038773066233,
    0.2762426821541319,
    0.30870678508131516,
    0.3296988082411296,
    0.2595990024441292,
    0.2664126240136512,
    0.29267322584301986,
    0.30668076057121957,
    0.27481112709756084,
    0.29785306357290897,
    0.33047100977003785,
    0.34776551582132437,
    0.25455360498082735,
    0.2861240300480989,
    0.27886980942065803,
    0.30432218502398284,
    0.2821583518131202,
    0.3148373659213545,
    0.30889834901934243,
    0.3325211503966269,
    0.2736482460190356,
    0.30750457709431805,
    0.2934802919436842,
    0.3200481141158304,
    0.3076409813845759,
    0.3450537884436013,
    0.32761332847735025,
    0.3511015852896073,
    0.29504178081515403,
    0.27320039528480494,
    0.26387572857449826,
    0.30209405548754825,
    0.22948195833964177,
    0.27577470842778673,
    0.27966120034399816,
    0.32347744520925775,
    0.2661695008470566,
    0.3020381390196245,
    0.29479144477915564,
    0.33672289594014637,
    0.2663344102331866,
    0.31639877332621585,
    0.31261218883022884,
    0.36035556871644003,
    0.25158061621565786,
    0.3116388919329499,
    0.26677011309614246,
    0.3229461245209064,
    0.25594529502370755,
    0.3186936472341627,
    0.27278025832420444,
    0.3322630273769608,
    0.2878712501636181,
    0.3552584530397088,
    0.2932714069061167,
    0.3581506109684272,
    0.2975954879877938,
    0.3709968362693573,
    0.2979760935974241,
    0.3670689088191375,
    0.2704612154463261,
    0.2868000660300551,
    0.3076966221201583,
    0.33303204106884926,
    0.27155653504088234,
    0.3007375113197457,
    0.3303008884570952,
    0.3595641223580567,
    0.28186777039324107,
    0.31311026338332376,
    0.3264407827815342,
    0.35158009367550924,
    0.3001515892937891,
    0.3310009452345507,
    0.3563924742979472,
    0.3854602948873224,
    0.28958255911489705,
    0.33840378373714414,
    0.31142696832957817,
    0.3544765212305434,
    0.3047624729620313,
    0.3495453845733088,
    0.330551534545753,
    0.3668385124036149,
    0.31563900787600624,
    0.3727581624439186,
    0.32453984863388463,
    0.37430722371861386,
    0.3380598377274446,
    0.39565587765650045,
    0.34860554362037927,
    0.39437487717791475,
    0.2986607967556624,
    0.2675046666547521,
    0.2785164308863089,
    0.3140906938770803,
    0.2357823652678195,
    0.2732594686823061,
    0.2940726975465675,
    0.3345152356358338,
    0.26682351737720444,
    0.29474096415195833,
    0.30729890101587026,
    0.3423695454075427,
    0.2701072984119149,
    0.307057015492256,
    0.3207076447699143,
    0.3574899978658121,
    0.24755230853269602,
    0.2971942767021364,
    0.27737970849491483,
    0.32655645470070377,
    0.25072284447700527,
    0.3031893900828509,
    0.2816569483221822,
    0.3332255035192983,
    0.28332791257933104,
    0.33780938406351557,
    0.3092309222942908,
    0.36423538267564404,
    0.2901426676978272,
    0.3494821966972696,
    0.3058301957254119,
    0.35734049529739853,
    0.2725386298107424,
    0.28332480715062514,
    0.3215330697026324,
    0.34398709623174184,
    0.27764460506746746,
    0.29984505970241154,
    0.34447044716536496,
    0.3727052148841059,
    0.2838782826831466,
    0.3037545291097747,
    0.3397184058982766,
    0.3588644028805178,
    0.3022341436395143,
    0.3220885637810083,
    0.366276200701462,
    0.38790739609125124,
    0.2849942019703464,
    0.32038749930604593,
    0.3224772180764118,
    0.3559895770691562,
    0.2989994125353138,
    0.3315237960696201,
    0.3396525599512912,
    0.3651432409913945,
    0.31033027112049005,
    0.351315397846729,
    0.34473969920608505,
    0.3846587082007035,
    0.33043998046146345,
    0.37109454821955407,
    0.3624163945027597,
    0.38668529656450457,
    0.26318802099275107,
    0.30185729013851903,
    0.3086779792443107,
    0.3547490574837294,
    0.25202703103973323,
    0.2988175621017332,
    0.3108833004835423,
    0.36466187293885316,
    0.29654560394805046,
    0.3433759593447823,
    0.3432191183658428,
    0.39381782263137505,
    0.293512647007401,
    0.34287155800862157,
    0.3451969396193201,
    0.40232741410048983,
    0.2812241090390809,
    0.35565074803486524,
    0.30853603273647556,
    0.38524353884948287,
    0.2645931076161894,
    0.33529330462008666,
    0.29151100382177186,
    0.36226888189665063,
    0.32546801033060696,
    0.41451821874979455,
    0.3432121219506514,
    0.43892465863932856,
    0.3118072349324246,
    0.4016763582997261,
    0.31575781783875656,
    0.40033926985393753,
    0.3002399761217563,
    0.3302922620505994,
    0.3622384814398456,
    0.3975956756537135,
    0.3010528668584111,
    0.330562827786877,
    0.3750830016917077,
    0.41778266614636356,
    0.3296123620105838,
    0.36248337201144565,
    0.38669217310945303,
    0.4237023134785058,
    0.3346441928738335,
    0.36565921369656107,
    0.40652368901799213,
    0.4511464471160771,
    0.3276427569719461,
    0.39409357099266024,
    0.36730384177316594,
    0.43726784502344496,
    0.32335755167470803,
    0.37373732090919976,
    0.36906461926088985,
    0.41524428007080894,
    0.36392037609786193,
    0.4510464136111894,
    0.3923631957038765,
    0.490706835513639,
    0.3661113327036802,
    0.44532741670075227,
    0.3950131267928971,
    0.4732896415174017,
    0.32564867555954113,
    0.2950678300127777,
    0.3170319806789281,
    0.2757399815411037,
    0.2743811249424056,
    0.24783470267168656,
    0.27225367131597317,
    0.23986590879901779,
    0.3163504465265432,
    0.28254230796968743,
    0.29298280328855236,
    0.25303879994562195,
    0.26822595882021477,
    0.23839368018750962,
    0.2517360040298524,
    0.27737465572924686,
    0.32096605988797783,
    0.29489114548760625,
    0.2822528913037438,
    0.26289730274436535,
    0.2515592735563841,
    0.24689193375684484,
    0.2459104517576868,
    0.2858833472497754,
    0.31364485596479585,
    0.2829564857915047,
    0.27171778640960775,
    0.3112178665565354,
    0.26044955151090576,
    0.30917467631847473,
    0.2938096915508025,
    0.3412839051614373,
    0.30456934111785844,
    0.25673725897797106,
    0.29714680349020334,
    0.2439502480207777,
    0.2668969422170046,
    0.22392577492381258,
    0.26168540526519096,
    0.2752216313408814,
    0.2831269703705298,
    0.23355402884024942,
    0.26356232435262744,
    0.2595236281782003,
    0.24649689134222746,
    0.2508629999323151,
    0.2934186593398698,
    0.30129478931721027,
    0.29788842697979984,
    0.258777221851863,
    0.27044380765185205,
    0.2953615941442745,
    0.2503559156548241,
    0.2817627980119251,
    0.3008894303481023,
    0.32842484372362074,
    0.2788435898888317,
    0.3017887988017441,
    0.30992811526916714,
    0.3339063343120311,
    0.3012105599052767,
    0.33445752691701275,
    0.3465858500208237,
    0.3755356953736782,
    0.28433700016293517,
    0.2627795534981243,
    0.2642875632597765,
    0.23581316843914404,
    0.2231014941732325,
    0.2065590551404559,
    0.2165299178248799,
    0.24739108105746296,
    0.27883575295030116,
    0.2528963564373334,
    0.24894569096089098,
    0.27525581423771683,
    0.2199859776085852,
    0.25334219216474074,
    0.2570804204121915,
    0.292178426256281,
    0.2783150370408837,
    0.26424675260432623,
    0.2455666428698482,
    0.29171191840837146,
    0.21978286204444286,
    0.273079329877189,
    0.2525533508008853,
    0.30307335169950844,
    0.2726564218721096,
    0.3278506426304052,
    0.2955895550273053,
    0.3514259298578779,
    0.2807098066523839,
    0.3460505764429384,
    0.30554500632061876,
    0.3715567692480744,
    0.2718684740226421,
    0.2332722020329176,
    0.2545170996670202,
    0.263908111524925,
    0.22214275021893487,
    0.23690235103567975,
    0.2710612028350851,
    0.28974146715206306,
    0.2556223929184988,
    0.254455400576227,
    0.2800778039763845,
    0.2964693158479432,
    0.25595485619575953,
    0.27495708837324884,
    0.3059379218983668,
    0.3210037376868956,
    0.2625255666809204,
    0.2984103743682202,
    0.2978385197974039,
    0.3339182675087789,
    0.2734380655396495,
    0.313746158138817,
    0.3184715593909953,
    0.3542605017173186,
    0.3129618239094775,
    0.35747211516586264,
    0.3440178637888867,
    0.38555609779506905,
    0.33142309126410824,
    0.37957036581883663,
    0.3700931418371152,
    0.41491463775383697,
    0.2732323117838594,
    0.24292037281804668,
    0.2703391564277649,
    0.23472640282278193,
    0.21890978553842746,
    0.19453248633263695,
    0.22838352157459507,
    0.25411167996424133,
    0.2650196788554639,
    0.23290200774752753,
    0.2479650668245392,
    0.2683537756905462,
    0.21523253045639076,
    0.23847096063446507,
    0.26647526261510796,
    0.2924329158576284,
    0.26818070971092306,
    0.24896571618040875,
    0.25477702478362413,
    0.2952422061100984,
    0.2098687702413009,
    0.2551139697669249,
    0.261571237945887,
    0.3079154218724108,
    0.26265446885199445,
    0.30769911021015595,
    0.3040006860786946,
    0.35222554224492286,
    0.2699678385439055,
    0.323745225001331,
    0.31686305153211436,
    0.37554626404232355,
    0.26124983310116834,
    0.21490887009600015,
    0.25775020736071974,
    0.26290003396669936,
    0.2184873066459015,
    0.2246876450885808,
    0.283852391548602,
    0.29709599154255784,
    0.24119714659489394,
    0.23245860186490888,
    0.28002079780771905,
    0.28729222044824826,
    0.2502845234772514,
    0.2583239497641628,
    0.31709745560016206,
    0.3231809910884079,
    0.2535829016703257,
    0.2794845473856095,
    0.30697260700439505,
    0.33415712477270565,
    0.26335175412311723,
    0.2942078751347447,
    0.32898646969311224,
    0.3601659988722715,
    0.3008011031599416,
    0.33096522001426776,
    0.3531444815094393,
    0.38419757202199917,
    0.318498026236454,
    0.3543240835582595,
    0.38568740251232086,
    0.42543988929050985,
    0.24089656837714965,
    0.2170477326125073,
    0.22672215066189275,
    0.2553923865348899,
    0.17981348706569514,
    0.20870063751870532,
    0.22996521529172742,
    0.26245209423859756,
    0.2341359812104916,
    0.2534509566835152,
    0.2664615516195241,
    0.301954883892866,
    0.225107340239888,
    0.25895358380720795,
    0.2735776207278582,
    0.3104873125324206,
    0.23759770686022272,
    0.29587189944359626,
    0.27681902693799537,
    0.3379716010627263,
    0.22669185549919552,
    0.2910531857576256,
    0.26959660967207105,
    0.33789831193640746,
    0.2976568243318316,
    0.36825029940203546,
    0.3353486805304973,
    0.4163330563915242,
    0.29291515103336846,
    0.37687794538749025,
    0.3339482136805586,
    0.4330707708546547,
    0.2341930108107739,
    0.23495375559821785,
    0.2767935940598037,
    0.2952943554771211,
    0.23101401956647724,
    0.24560334620205704,
    0.29612425146305477,
    0.3147618072617643,
    0.2599739819205502,
    0.2742949352994391,
    0.3143028138839476,
    0.330672708057012,
    0.2722840953721924,
    0.2848464245055829,
    0.3354097283770522,
    0.35019265520936355,
    0.2890146389603669,
    0.33735091563825464,
    0.342460443827481,
    0.3925781272317476,
    0.2903208081969281,
    0.3376861295319477,
    0.3533660782921954,
    0.40412491681293233,
    0.3488399399337334,
    0.4086577333652229,
    0.4013310022974335,
    0.4717276987280676,
    0.35614960617387886,
    0.42141650925282065,
    0.4246759561639351,
    0.5105037746642499,
    0.31745896890457526,
    0.2824579547626063,
    0.28873132812927477,
    0.243822889136761,
    0.27518247118666345,
    0.24545018782644726,
    0.25916766953575865,
    0.28291466347245936,
    0.2951332351494124,
    0.2594758367561989,
    0.2600441880446004,
    0.27862006372342274,
    0.254811573347512,
    0.2874775527305322,
    0.29736032639758253,
    0.3228048115246455,
    0.2618536757709739,
    0.24546656352481228,
    0.22829881669365104,
    0.2576876222073789,
    0.23105073284755348,
    0.2737441004986053,
    0.2487674939979003,
    0.2823550066626648,
    0.2520088152066172,
    0.29231604445144216,
    0.26694840782138207,
    0.2997928609186786,
    0.2787541218897652,
    0.3276522195381681,
    0.2872588873577285,
    0.32552733858198457,
    0.29444270178533644,
    0.24493228513757187,
    0.26718082792037295,
    0.2716838207940972,
    0.26156833323820133,
    0.2773799660853544,
    0.3097392624071116,
    0.32272406947657506,
    0.25877994740522925,
    0.25659081553756835,
    0.28533996219301705,
    0.2899624860371641,
    0.28834763519788753,
    0.3052707149255669,
    0.341505655727619,
    0.3502700311033679,
    0.24230263420164205,
    0.2699323854011411,
    0.269020384017037,
    0.2868333579742206,
    0.2789020925989558,
    0.3091114638373786,
    0.3042574023388805,
    0.32086565035774356,
    0.27876157596238527,
    0.30583364483510433,
    0.29793021284790827,
    0.31448384877027535,
    0.3190452608317382,
    0.351537449958034,
    0.3392239598530845,
    0.35524533334689873,
    0.2811008239122786,
    0.25109572214665465,
    0.24582478179316503,
    0.2733844105179206,
    0.22727116530981417,
    0.26275287201357583,
    0.2689638063774144,
    0.30062932807727527,
    0.26431459385474665,
    0.2885917206340183,
    0.2851543824408528,
    0.3172341679599581,
    0.27246674388639386,
    0.3141502844517388,
    0.3134030780766206,
    0.35279620665352857,
    0.23460749710427503,
    0.2800787170219965,
    0.2473896303890374,
    0.2852949991901493,
    0.24724211877580868,
    0.2964392850523718,
    0.2587707505564228,
    0.29934117054174847,
    0.2847173420293931,
    0.3387474766461141,
    0.2863174485069887,
    0.33319697075714927,
    0.3008623046464418,
    0.3642285080924816,
    0.2986049234446862,
    0.35303894467380775,
    0.26464314960429697,
    0.2706290973074164,
    0.29533276888921495,
    0.3110644168341307,
    0.2785079379266188,
    0.2998259202029073,
    0.33103172574982026,
    0.3509672933535168,
    0.2847219100321003,
    0.3047476956850263,
    0.32216470244638595,
    0.3356768017175418,
    0.31468456800416084,
    0.33671120179265096,
    0.36777697531544284,
    0.38802782139427183,
    0.2763366628120678,
    0.31177782808631743,
    0.2984059141721616,
    0.3236186447002289,
    0.3032772672856961,
    0.3360771572375576,
    0.3276897921209978,
    0.3456638067251714,
    0.32005075968338986,
    0.36247248419985034,
    0.32532145962413056,
    0.3546047982187553,
    0.35131027395337194,
    0.39566608395976316,
    0.3635327994015205,
    0.3913033221819069,
    0.26793207231975863,
    0.23364800131644856,
    0.2490526620067257,
    0.27044797171687,
    0.22376315183485146,
    0.25182869999753554,
    0.27374471013826895,
    0.29888022560614796,
    0.24940775855626862,
    0.26713299866317647,
    0.28336600386578836,
    0.3052598748124774,
    0.2663357865358444,
    0.29647040883726133,
    0.3130461053267975,
    0.3387542288255807,
    0.2207240714736786,
    0.2553344185695432,
    0.24762672199964644,
    0.2756012576567482,
    0.2322983029883048,
    0.2712496316015665,
    0.2538735071852403,
    0.2829491040276725,
    0.26741118668461406,
    0.3063689779738351,
    0.28729964402296104,
    0.3176177544986774,
    0.2840414384385344,
    0.33137169652605064,
    0.29248288935514166,
    0.32027561558798745,
    0.25110919598823583,
    0.2523516878439662,
    0.2953841694718099,
    0.30471008559970764,
    0.274372254053739,
    0.2890979767676134,
    0.33506937506002854,
    0.3492661753830803,
    0.2689238358420905,
    0.27876257140962335,
    0.31845559727605854,
    0.32232464927065774,
    0.30711430801080297,
    0.31889893763912347,
    0.3689261179122861,
    0.3771235286532553,
    0.26065985705485095,
    0.28322318962679344,
    0.29732699129508394,
    0.3105270695083344,
    0.28915224339343126,
    0.31202289799966426,
    0.3240105089716919,
    0.3289883058171197,
    0.2994827181257582,
    0.3241931637080635,
    0.3271517192973649,
    0.3392987489052336,
    0.3343578864666518,
    0.3631916085786229,
    0.36255984106486705,
    0.3588278163180694,
    0.2372559139525195,
    0.26048938000857264,
    0.27365977994219265,
    0.302089247530942,
    0.23772050727214966,
    0.2701063818901762,
    0.28525469776297296,
    0.3193222633022094,
    0.2765476799150663,
    0.3105725921863075,
    0.31485955794737064,
    0.3497792038864122,
    0.28733914694221746,
    0.3264429470448925,
    0.3333334354550275,
    0.3768066161660866,
    0.25038523671155666,
    0.29961193945217895,
    0.27000058168908914,
    0.31397456044730854,
    0.2473423409092567,
    0.29295510090536964,
    0.262636655296431,
    0.2958334641418354,
    0.30379180715642257,
    0.36714926152297384,
    0.31089042777822695,
    0.36754274078102733,
    0.3046967452238056,
    0.36995065620611783,
    0.29951577121641565,
    0.3371899595465745,
    0.277646535359107,
    0.29359572689287944,
    0.3327383885882152,
    0.3496655278342022,
    0.2976038078551563,
    0.3141123826811592,
    0.3627250309264714,
    0.38595087993286536,
    0.3151122300112029,
    0.3325347606821926,
    0.36205808191751887,
    0.37862186262510605,
    0.3389364783453701,
    0.3570850118527978,
    0.40676310719991854,
    0.4338228573766887,
    0.3003551529425633,
    0.33954634082824187,
    0.3350765292289596,
    0.36617034850827873,
    0.31579535385136065,
    0.33374685363488166,
    0.35420518836534265,
    0.34425906068470247,
    0.3480326236128232,
    0.4042409451240547,
    0.3640542233451779,
    0.4098975825889433,
    0.3707822549695572,
    0.41200547131325926,
    0.3947379399275864,
    0.3836425563989828,
    0.3125785832749964,
    0.282155932149869,
    0.2958539929389019,
    0.25729025321827953,
    0.23667163278764983,
    0.21582022473373794,
    0.24296013294396032,
    0.26847182032457545,
    0.28605242184852847,
    0.2545269621655244,
    0.2611843751174859,
    0.286438066723805,
    0.22116372165247813,
    0.25272803954085965,
    0.2705173950739345,
    0.2946724930730183,
    0.30220509196918593,
    0.28454668592524474,
    0.2771454979715764,
    0.3198250773630545,
    0.23736393862056854,
    0.2865998764839785,
    0.28199175866004095,
    0.3275719476988423,
    0.2858374921485621,
    0.3341813177079339,
    0.31572032326854266,
    0.36279603602107174,
    0.2904255734255651,
    0.3456537276434034,
    0.322334719032371,
    0.3748659419102331,
    0.2910424367163834,
    0.24353165152782452,
    0.2752475626611794,
    0.2841025882018498,
    0.22768650727364953,
    0.24325945157540987,
    0.2900339686933694,
    0.3024119828590543,
    0.2528456351224431,
    0.25248191738143144,
    0.29147228410689163,
    0.30188022522516883,
    0.25235126565530624,
    0.2667864062429112,
    0.311584658206495,
    0.31775401255067326,
    0.28134550037046985,
    0.31502768693244804,
    0.32627926194934825,
    0.35629806270398245,
    0.2882216514721706,
    0.32491489970268084,
    0.3408321934357783,
    0.37252097902821163,
    0.3177404812035287,
    0.35306211987418673,
    0.3569306493950746,
    0.38905864223396297,
    0.33089358106671196,
    0.37187071434307545,
    0.37764855505642314,
    0.4140161507377272,
    0.26945286968604604,
    0.24692738323381014,
    0.24332213382035023,
    0.27859541745316463,
    0.19446398904832948,
    0.2288446641194104,
    0.23934100228874625,
    0.2682175560708022,
    0.2471697884955551,
    0.27455159210333935,
    0.27487668443721325,
    0.31195214465339305,
    0.23213999253471904,
    0.26725244290305983,
    0.2674306104309452,
    0.2957002483212072,
    0.2644088372402249,
    0.3218325016700115,
    0.2947669158791102,
    0.3503074230850841,
    0.25058215639173875,
    0.3091416239193379,
    0.28181230555241,
    0.3358963592448029,
    0.31711902467938374,
    0.38195115861316015,
    0.3393737898088743,
    0.4062549041747095,
    0.3093836046670792,
    0.37992093592566323,
    0.32665420729831657,
    0.395690067447516,
    0.25467117701366443,
    0.2650865714094387,
    0.29326424620604813,
    0.3151242529954048,
    0.23974631193987506,
    0.26037321632001026,
    0.29336412751606017,
    0.3076996904792236,
    0.2693752719205848,
    0.29167947105957226,
    0.31667139748072337,
    0.33666469011766875,
    0.2684364705212538,
    0.28559900147548684,
    0.3142723683581861,
    0.3222094365442063,
    0.3154072353946619,
    0.36418615087622,
    0.3568352693071041,
    0.40349765211784094,
    0.3105105990237459,
    0.3569012001881595,
    0.35395531909816325,
    0.39315575515829804,
    0.36059630546712323,
    0.41702892881950915,
    0.3950519224466161,
    0.4531293814040622,
    0.36197874001776753,
    0.4202367280601549,
    0.3972605036688083,
    0.4515613786586722,
    0.262079142098265,
    0.2327732830946358,
    0.25290307685068364,
    0.2838740538202848,
    0.19222842099896395,
    0.220696115328616,
    0.25673683094869754,
    0.28564346170378596,
    0.24000434545832364,
    0.26043344186073836,
    0.28288789419944965,
    0.3131594260483633,
    0.22870025181823667,
    0.25651926549188436,
    0.28409134017502624,
    0.30963667066753,
    0.26133252762326054,
    0.311706023933763,
    0.3111239866102678,
    0.36392994333050593,
    0.24332020809204194,
    0.2985777916283962,
    0.300281103340046,
    0.35934496569482083,
    0.3138491270679229,
    0.36989323840575483,
    0.35972345263100514,
    0.4234999783387055,
    0.30146558387802036,
    0.36631352145461976,
    0.35099232734197716,
    0.4255230166795217,
    0.2468555805062009,
    0.2487309615338501,
    0.3010333749841071,
    0.3163402192002553,
    0.2388174510798038,
    0.2518072627923283,
    0.3135600170650663,
    0.3284369193915516,
    0.2613024638707678,
    0.2720080513651175,
    0.324373835803441,
    0.3347443848721663,
    0.26455595703455803,
    0.27309516312868204,
    0.335489016157912,
    0.3413786122707229,
    0.31106673528122325,
    0.34744408376610647,
    0.3719190588788095,
    0.4108225376354604,
    0.3028745866091442,
    0.34375395560261307,
    0.3750971639628192,
    0.4211678386743075,
    0.3542614348221238,
    0.396269241369107,
    0.4173116554994282,
    0.46845790785833724,
    0.3513592961017051,
    0.40193007370950723,
    0.42961291340623287,
    0.49775744058443466,
    0.22892272246902237,
    0.2564998844195995,
    0.27145343099473096,
    0.30991687230629644,
    0.20418249029467525,
    0.23511387718048227,
    0.25437493795414856,
    0.2873453433709256,
    0.2596567771685867,
    0.29528293499040453,
    0.3061746539755275,
    0.3467324417107271,
    0.2414817735735185,
    0.2724492267577137,
    0.284021880027312,
    0.31449684695793634,
    0.29144976303974324,
    0.36255618118661603,
    0.33517553647448406,
    0.41377017662406007,
    0.25777120827926714,
    0.33226298821073236,
    0.3013860796376991,
    0.38348529952562277,
    0.3520581189049562,
    0.4388243589688912,
    0.3959468680275485,
    0.5041432633326055,
    0.3240795519228213,
    0.4221789074509194,
    0.36291339338056594,
    0.48837782021367204,
    0.26827001295785946,
    0.287782761011385,
    0.33102783173387823,
    0.35558221341226537,
    0.2572152004892974,
    0.27166467014583195,
    0.32171673916547866,
    0.3394303622798098,
    0.29946820839849814,
    0.31736900137140256,
    0.3602385322217592,
    0.3835292608265939,
    0.2846456758493075,
    0.2950922649047273,
    0.346365095044787,
    0.35534641345316687,
    0.3531880019112118,
    0.41626716329514096,
    0.4156882365915766,
    0.48994823554798045,
    0.3308596957632307,
    0.39283053786242556,
    0.39878701921290655,
    0.4745301398401528,
    0.41012453890337575,
    0.49352846100936354,
    0.480515133481924,
    0.6003686005512059,
    0.39383137185223516,
    0.4876623770718169,
    0.4771845211775388,
    0.647530465040688,
    0.2998806974802311,
    0.2666978600717265,
    0.2726020307652753,
    0.2987055630984408,
    0.2417406526806891,
    0.2772792919191545,
    0.2941031938817911,
    0.3212448810995961,
    0.26490465196673196,
    0.29264141537994975,
    0.30143826689971653,
    0.32766321607054877,
    0.27057800395345466,
    0.30699948274271754,
    0.32134190149366093,
    0.3474100153476047,
    0.25878119550534884,
    0.305074622176217,
    0.2779897770398375,
    0.3167806825542646,
    0.26665491202924896,
    0.31725629993194676,
    0.2868625125045977,
    0.3285206578092827,
    0.2915288613698556,
    0.3406988201553888,
    0.30553879794966066,
    0.3474834909606871,
    0.3017851535183621,
    0.358290983661295,
    0.30938585749684794,
    0.3513696864544208,
    0.27707960804479387,
    0.2853009083029673,
    0.3177735750110767,
    0.3284799934577265,
    0.28890880568157845,
    0.3077619646665788,
    0.3478574254386363,
    0.3611167989667838,
    0.2848470960860909,
    0.30095302795523987,
    0.335003651246163,
    0.34188543646013253,
    0.30684299609222504,
    0.32345237324358006,
    0.36986187559795364,
    0.37772262145836283,
    0.299073470200993,
    0.33086358373764696,
    0.32409375973496485,
    0.34657291542529717,
    0.31904357050615434,
    0.3533704512859248,
    0.34717164911087856,
    0.36596542749704536,
    0.31990640620948085,
    0.35373539621247546,
    0.3406017742311385,
    0.3635844149384552,
    0.3440831557839486,
    0.38328136317563294,
    0.36661504298708525,
    0.3821035282758137,
    0.2606914898734591,
    0.2964256726962439,
    0.294228148467247,
    0.3291765785165873,
    0.2550183450577649,
    0.2934612516933353,
    0.3007113333509236,
    0.3344240804990049,
    0.2912688982144455,
    0.33360272143561137,
    0.3258976417729294,
    0.36540603935628796,
    0.28931163975545054,
    0.3308451459483065,
    0.33204686437142644,
    0.3696556827730449,
    0.2865835672063821,
    0.34386215687642907,
    0.29799048400483846,
    0.3482589925533207,
    0.28040490309561045,
    0.3372562382267623,
    0.2915278995719882,
    0.33843016800459447,
    0.32746905910179985,
    0.3939805717592866,
    0.3260805526154611,
    0.3878174291814029,
    0.32434027433250306,
    0.394413318050148,
    0.31359301185006977,
    0.36929876128692146,
    0.3038560822033301,
    0.3283724456939136,
    0.3511686991262993,
    0.37265761487310906,
    0.3091537312136248,
    0.329331996843406,
    0.3665609776359113,
    0.3855295079167462,
    0.32674592575070555,
    0.35241272623290804,
    0.37081082434904894,
    0.3921044016893804,
    0.3326517601719011,
    0.35272933638303217,
    0.39273423170758526,
    0.4106191135721699,
    0.3373484173276799,
    0.3836292119383883,
    0.3588488348822832,
    0.3966013263667476,
    0.3442153955958134,
    0.38243699284672794,
    0.3701638875413022,
    0.3904229069038055,
    0.36813695006532454,
    0.4252501776815003,
    0.3752245874210622,
    0.42367474470141625,
    0.3804738503409029,
    0.4348402057120755,
    0.39083254389303973,
    0.42042645376891885,
    0.2525605448204185,
    0.28387192818208346,
    0.30243419919191095,
    0.3329076294067673,
    0.25032022395832476,
    0.28401031434741114,
    0.3088059888004952,
    0.3417927814646704,
    0.28296229900286113,
    0.31615739945028576,
    0.3311197797012969,
    0.36152924627038824,
    0.2800845928161674,
    0.31322656610326705,
    0.3329265056813276,
    0.3622243727322634,
    0.27618310636349336,
    0.32331797739855545,
    0.30369795193291954,
    0.34745703122591004,
    0.26321550406036825,
    0.3149863221067252,
    0.288520636353596,
    0.3331770645604361,
    0.31255361931618614,
    0.3657374325491472,
    0.3337487548471753,
    0.38260561720644626,
    0.29926565141404143,
    0.3603425222502765,
    0.3035500186983448,
    0.3392730089477557,
    0.29499710613082303,
    0.3100817446460669,
    0.3550742093795981,
    0.3705278618676054,
    0.30355033423241,
    0.3195827708549234,
    0.3749687316282932,
    0.39502405339557994,
    0.3149287997516615,
    0.32856260016263283,
    0.37386366302931545,
    0.3849438753962975,
    0.3222068199788656,
    0.33418055868795354,
    0.39666798430606043,
    0.4084426638297227,
    0.3233257061169875,
    0.35409124997732044,
    0.3614484506000921,
    0.38641693735782423,
    0.3253207372195996,
    0.3568693797037692,
    0.366891767963768,
    0.38052812501039057,
    0.3489983939241833,
    0.38641727975006673,
    0.38381092488765023,
    0.41488536147310423,
    0.3531720673901724,
    0.39551946547309663,
    0.3858552501659552,
    0.3801562988726363,
    0.28324349705012203,
    0.3225081205427063,
    0.3300962692766294,
    0.3711443540365799,
    0.2648393879509397,
    0.3032840994715862,
    0.3191729517159467,
    0.36187684846801227,
    0.321919792213986,
    0.365165490946638,
    0.3651470711057163,
    0.4140147579692114,
    0.30151123970013893,
    0.34278899204380486,
    0.34985942988249635,
    0.39780449972698384,
    0.30877261661834676,
    0.37546744484391587,
    0.33126725737756735,
    0.39725060361539577,
    0.2751742658634165,
    0.3337227809595595,
    0.29120864047343487,
    0.3354234135425388,
    0.35597382479804496,
    0.4423552980592624,
    0.3648087452908756,
    0.45693877042892744,
    0.32123023663175654,
    0.4045562155350415,
    0.2983811504602388,
    0.3264955459930051,
    0.3372313155767985,
    0.36086400421378095,
    0.39950260439328905,
    0.4300003655043874,
    0.3286925533464327,
    0.34730155921290057,
    0.40528654232782574,
    0.4386385595707662,
    0.36642849367258923,
    0.3934291130447629,
    0.42677091289124713,
    0.46264748606544215,
    0.35602122884061654,
    0.3748344493783006,
    0.43946448427746465,
    0.4824553494734087,
    0.3709532039886669,
    0.42955161610849046,
    0.4132964115269502,
    0.4757017134998519,
    0.3547356560669142,
    0.38613616151808383,
    0.40421286575955945,
    0.4061078704597586,
    0.41196210835611585,
    0.5019002417109518,
    0.4439757877406305,
    0.5669395356304949,
    0.4001812330500296,
    0.47761643425610406,
    0.43408602987835393
  ]
}

{
  "name": "Phi_SI",
  "dtype": "float64",
  "shape": [
    8191
  ],
  "data": [
    0.9541043326864157,
    1.5456653049543987,
    1.8851781253357465,
    2.252425554449381,
    1.7868960117405885,
    2.24987173196516,
    2.679550750454265,
    2.934149359386087,
    1.6024415453065508,
    2.0825998083635158,
    2.318666241474168,
    2.5929494830335287,
    2.3924436277919314,
    2.754910073978828,
    3.06254758923786,
    3.223539615120709,
    1.9767448582935976,
    2.464146630514536,
    2.487868262732426,
    2.826719660158301,
    2.6662876025148745,
    3.0732329543321066,
    3.155965706532802,
    3.42042017183136,
    2.5828538274639357,
    2.9556007414764176,
    2.8954927843181415,
    3.1416524419655065,
    3.2165717353478818,
    3.5273479466919646,
    3.496783794704484,
    3.678439167972763,
    1.4337095936464754,
    1.7644521865118292,
    2.335544873392753,
    2.4435400788638466,
    2.2483140419541843,
    2.4839877429310864,
    3.099642816659692,
    3.1329636876033096,
    1.9230820179301973,
    2.091487944409911,
    2.5674061267783603,
    2.5389992453803694,
    2.6645084359952333,
    2.7534041290656566,
    3.2831593851461864,
    3.1802575530830794,
    2.3906424756613607,
    2.6390005426842746,
    2.869586872192415,
    2.945012622799872,
    3.0749247456248794,
    3.2437376348337805,
    3.5232984314701623,
    3.535611223011116,
    2.814830994920758,
    2.9277813781867414,
    3.0753113172610727,
    3.0223443366403746,
    3.410874717073546,
    3.463657724125305,
    3.6636738078156186,
    3.5534218194210156,
    1.518331448920676,
    2.062039171332277,
    2.3157247398602405,
    2.6157678736624064,
    2.130286620886615,
    2.589448441490183,
    2.823085351900107,
    3.0717771406985013,
    2.1448240625001116,
    2.5569647691074424,
    2.7446733785881205,
    2.949462128895165,
    2.691026588035308,
    3.0395208951737436,
    3.196531137482159,
    3.3511692043391923,
    2.484711213666797,
    2.976001935674037,
    2.8447621488127917,
    3.1646766191488247,
    2.918731382399532,
    3.3560203455508173,
    3.2126651132058246,
    3.4832234299980387,
    3.0620083171937447,
    3.427235348572588,
    3.2364807781800096,
    3.4566050780995896,
    3.4161128744301,
    3.7509416058997833,
    3.52185920999013,
    3.708529743068226,
    1.9318234704696016,
    2.232099469070574,
    2.7125592007859463,
    2.768228328926905,
    2.5700678990148154,
    2.8016076162768546,
    3.2392358631157134,
    3.2558608121133332,
    2.4102158243618703,
    2.535420803576427,
    2.9281492634506505,
    2.853199507991407,
    2.947619915586167,
    3.0248334388216533,
    3.4002417336892834,
    3.284063732763267,
    2.8364272652891582,
    3.106103392807924,
    3.1765827012834915,
    3.243138514712816,
    3.3089951704527505,
    3.505767273096871,
    3.576084736773415,
    3.5787160765820674,
    3.2476563214740235,
    3.3704797830640736,
    3.3584214263106453,
    3.2955338119535837,
    3.60271304268736,
    3.673929182325485,
    3.6703395856424335,
    3.5492982016076366,
    1.573278706564273,
    1.9612866618288463,
    2.4393550252475515,
    2.6715141962955444,
    2.195852314841176,
    2.4440962972517255,
    3.020510546069576,
    3.126449799424889,
    2.1357357269229693,
    2.4366646527857867,
    2.84354285164734,
    2.9753229394644665,
    2.7197498506663527,
    2.878244015560348,
    3.3786606797983905,
    3.3752582916793212,
    2.3602631224302733,
    2.764439263740976,
    2.863306712881323,
    3.1098939034125035,
    2.8447096794676474,
    3.1572092002846865,
    3.320916601166754,
    3.4759765348824896,
    2.8874709466791555,
    3.1897293969758174,
    3.243036739999906,
    3.3983945543388074,
    3.3260960811182523,
    3.5478471392282014,
    3.644832656794984,
    3.7116010010330838,
    2.0375412859613773,
    2.170074008256157,
    2.879998587795315,
    2.8524154304146307,
    2.6355863728898257,
    2.654095623840723,
    3.42478563208932,
    3.305906252411032,
    2.41846637445789,
    2.4312533632375404,
    3.0690284737166547,
    2.907443385768053,
    2.938752119877975,
    2.842545351656045,
    3.564127235757306,
    3.3007387055646844,
    2.771539868775682,
    2.9299299690228953,
    3.240525324848991,
    3.2101305987089814,
    3.2369026089020174,
    3.296125407673509,
    3.6749223388862506,
    3.5616900994226737,
    3.0996505474347162,
    3.1459061054585007,
    3.402477226926354,
    3.2581317289238334,
    3.4818647475298805,
    3.434352238267734,
    3.776747838656216,
    3.5392363777393268,
    2.098292819158873,
    2.4573678686191456,
    2.819830005506208,
    2.9997166442055017,
    2.491059074698084,
    2.7575727354460904,
    3.1085154428112522,
    3.224791558417812,
    2.6269536115402436,
    2.8855525090936873,
    3.2176870879782475,
    3.29596979358156,
    2.9588014405299896,
    3.1306302347881387,
    3.455672091312164,
    3.463693697806449,
    2.861669911543119,
    3.301336458188137,
    3.198034012848796,
    3.4517564026537553,
    3.062704870264296,
    3.4407470384556147,
    3.3310549997719097,
    3.5221102743810797,
    3.3453138311372648,
    3.6774610231554936,
    3.5579595455175954,
    3.7179873212898444,
    3.4698645753351087,
    3.7566324427461675,
    3.6120134783352285,
    3.7170055266538613,
    2.503788449531849,
    2.619324162451668,
    3.211920419845213,
    3.140209565213928,
    2.9191568064974183,
    2.952485116564114,
    3.5154172809497806,
    3.391517982315431,
    2.868551097273622,
    2.8527661578890697,
    3.3897433276984774,
    3.1879993928419617,
    3.179839495535029,
    3.0906953794276033,
    3.6386749333871022,
    3.372533333553391,
    3.212614445879569,
    3.422914009369954,
    3.527012658914306,
    3.505717396122655,
    3.4409974137113277,
    3.559772765164917,
    3.6836596406956987,
    3.5817874079616248,
    3.5177652988281585,
    3.6077556865970397,
    3.6667329773182518,
    3.532739883795018,
    3.6243430057328605,
    3.631775549173637,
    3.7319496957806852,
    3.506119895563815,
    1.789777378051607,
    2.2495205198442045,
    2.433652399185041,
    2.6914591565694628,
    2.6634868499211053,
    3.005724076174774,
    3.226422928414837,
    3.3990711874349326,
    2.276655071319682,
    2.6371482427430477,
    2.6843174552655373,
    2.8460134342854095,
    3.0898811210946393,
    3.3438716390942735,
    3.4306656545201797,
    3.501411179730063,
    2.1191705489232873,
    2.520192193456534,
    2.3935047471048976,
    2.6602820167666934,
    2.8172430299702826,
    3.1045121087153396,
    2.9672240195309674,
    3.1550306723420443,
    2.575056232300782,
    2.8673394879629206,
    2.636341999396403,
    2.810905779242916,
    3.1891936651407584,
    3.3856130900915575,
    3.1243505579554043,
    3.2209707180981537,
    2.169481764741821,
    2.332299969159658,
    2.7680472468000685,
    2.7555586989318464,
    3.007788380723518,
    3.082424396320985,
    3.52090753144957,
    3.452344232154963,
    2.454712128554662,
    2.4911109153036795,
    2.78368924434412,
    2.6422710480291,
    3.2318084183081277,
    3.189290753518576,
    3.5176931782041363,
    3.314356824289827,
    2.381210457982004,
    2.540851815431548,
    2.629502623970041,
    2.6509789592395845,
    3.0800904719380764,
    3.098951657766354,
    3.193979576979875,
    3.1096007918835578,
    2.651322656766042,
    2.6817444023893175,
    2.661425750462646,
    2.5658897154094302,
    3.260181117955261,
    3.1744570189059367,
    3.1696537872317307,
    2.9746482293761902,
    2.3683734330929633,
    2.7687103570505034,
    2.8044784622413363,
    3.008428481955523,
    2.954816326327414,
    3.2929240134172897,
    3.3356893390890345,
    3.5023874007470823,
    2.826272046197617,
    3.124567002826649,
    3.005974819876318,
    3.1150580713712093,
    3.3572110556967028,
    3.60422291393501,
    3.499959401987048,
    3.5689424699885857,
    2.6168320087925903,
    3.029077910896145,
    2.679367369675354,
    2.936786338162018,
    3.009827143022231,
    3.3260145516735236,
    2.9604278692875066,
    3.1486673598241715,
    3.042281363025868,
    3.337660354937144,
    2.845865081132544,
    3.0062568429915,
    3.3322005272774358,
    3.5551345361090236,
    3.0420070368387666,
    3.145989001148444,
    2.6874787614771622,
    2.815407889548424,
    3.103148517284874,
    3.0476322466425554,
    3.287343324213022,
    3.3590799339145594,
    3.635250366572233,
    3.5530316609452237,
    2.9535966163950045,
    2.9533163530934536,
    3.0503039822378923,
    2.8654167190282966,
    3.491209236427375,
    3.4432834105150554,
    3.5689701725305296,
    3.351746784493095,
    2.831377291021726,
    3.007034661919321,
    2.8732704101519726,
    2.88621440028285,
    3.2610145849318917,
    3.2967221521608447,
    3.1816402873771414,
    3.0887527301568993,
    3.0766143227912295,
    3.119988234845236,
    2.8137572992377375,
    2.7062934007781307,
    3.395829039182649,
    3.3305658997279064,
    3.063915147366066,
    2.8705448900663497,
    2.2507062722582485,
    2.5315869488880747,
    2.879045075788505,
    3.002459714712459,
    2.9159867521584477,
    3.063817987774064,
    3.444174672051112,
    3.4655283309244265,
    2.65728895537237,
    2.84924657566582,
    3.052732779257968,
    3.0752741527771805,
    3.275486454903337,
    3.3318274320070476,
    3.578822446958052,
    3.4871200639946665,
    2.3868652938019546,
    2.698292817108298,
    2.6821618358968395,
    2.843823757773311,
    2.8836895663323814,
    3.0512858731615022,
    3.039613222762055,
    3.085735695914771,
    2.7659557588279178,
    2.9809947580356333,
    2.8537144972795616,
    2.9162495458712585,
    3.1846548614705026,
    3.268803038681569,
    3.1343813480622535,
    3.0816126198892033,
    2.596811007978613,
    2.605676244624639,
    3.1885039799343122,
    3.0584703528229342,
    3.228839246129816,
    3.1311904450642536,
    3.7172354065898965,
    3.511439330864299,
    2.788350899438721,
    2.697783605278846,
    3.1151394191122117,
    2.8646286363621414,
    3.362250566680636,
    3.1607216163712217,
    3.6285149609991354,
    3.2868772112390157,
    2.641956678477378,
    2.7125071462361565,
    2.9120540772900907,
    2.8210407252610743,
    3.13803071181388,
    3.0261369531295497,
    3.259033980694167,
    3.0164370592669734,
    2.8286088181851268,
    2.793522888232421,
    2.863377081126938,
    2.6675372925945853,
    3.236822103271411,
    3.034196291427612,
    3.1619336192593215,
    2.8136237772021446,
    2.787324522132536,
    3.0334448902972655,
    3.199427711127611,
    3.2861858508263806,
    3.1576744132686825,
    3.328294842821219,
    3.493206768626382,
    3.5281974338640696,
    3.1542712952491168,
    3.3099864599242927,
    3.3210709093949027,
    3.3099578211967273,
    3.479404509262071,
    3.557525742816013,
    3.5830133218620794,
    3.5101791467027645,
    2.881955748277251,
    3.2425211386787245,
    2.9478136170630798,
    3.132556758095906,
    3.0422048926163745,
    3.2672214827700357,
    2.978077993457503,
    3.049186738758868,
    3.2154783433658616,
    3.473645845511016,
    3.037445943565575,
    3.123291450523541,
    3.2644810923048055,
    3.4083124958830453,
    2.9807033407937897,
    2.963596669898689,
    3.0829534974585284,
    3.0711126277302645,
    3.4782458509413683,
    3.3144053132867093,
    3.4683116113657215,
    3.385495917914594,
    3.7760119474973632,
    3.5708202670905544,
    3.249036540131088,
    3.134826790828604,
    3.338052173467445,
    3.0536227343662325,
    3.573964739531718,
    3.3856023716204486,
    3.6261852172896694,
    3.284447413088974,
    3.0928621886054346,
    3.215815364185751,
    3.138178904605841,
    3.0655075421372326,
    3.2854158652058114,
    3.211051293807584,
    3.192573729137113,
    2.9559663201095923,
    3.243257601275306,
    3.2576192080009685,
    2.9953376400406175,
    2.8183936331936073,
    3.3144308751319573,
    3.158627663422924,
    2.9902348745401213,
    2.661543872643677,
    1.6367145259395195,
    2.1346997935207743,
    2.456047748928123,
    2.735147270646584,
    2.1118810600450786,
    2.496633542160866,
    2.8940421575949804,
    3.0636867568596826,
    2.0566397152716274,
    2.449336787285693,
    2.6511384268267664,
    2.8402802834599736,
    2.5084381591592257,
    2.787861327334753,
    3.0233397520510685,
    3.0986725837581117,
    2.5930914104062985,
    2.9988755814066574,
    2.964870645028544,
    3.2241226012746482,
    2.9252991892005227,
    3.2611173656587527,
    3.2836425901215476,
    3.464589666108605,
    2.952364411863634,
    3.2480633366322147,
    3.115735423839978,
    3.282524533077012,
    3.259100292852093,
    3.49670336339248,
    3.369386791937945,
    3.466414192533916,
    2.049647206118729,
    2.263685621098661,
    2.8383132847094994,
    2.8348854896608424,
    2.486592682087071,
    2.6351862119134344,
    3.205215339556692,
    3.149978523888792,
    2.262142172032645,
    2.343620081480471,
    2.804569501973307,
    2.699751780067003,
    2.652739139747423,
    2.673602798046092,
    3.1321468881729775,
    2.9676466539012294,
    2.942270285399643,
    3.0866443626069606,
    3.276432804436034,
    3.251533758170118,
    3.256580058471636,
    3.3431428266068473,
    3.549842364281515,
    3.4699209210901225,
    3.0524342802574873,
    3.0942134731689874,
    3.1821891409272505,
    3.066254897780519,
    3.3246500798503433,
    3.3192370022907762,
    3.4173325815651987,
    3.247985181792371,
    2.005099952607383,
    2.488320379759612,
    2.7200398248582207,
    2.9564964817854036,
    2.309228277361778,
    2.7036442990782934,
    2.8995096629846935,
    3.072441290983007,
    2.3855544750243776,
    2.7417788956810223,
    2.8904825874788798,
    3.033112713150789,
    2.652011868319623,
    2.9254382494749427,
    3.005526975161631,
    3.075855855797319,
    2.9332389190185557,
    3.369844618269216,
    3.2024790358030444,
    3.4614411177445277,
    3.02712415934561,
    3.398924139386085,
    3.214585152722891,
    3.4025970300523243,
    3.262138915755669,
    3.5766113491020013,
    3.335365543917794,
    3.4956862092189587,
    3.327588676832332,
    3.5911749557391657,
    3.2871092320776913,
    3.3864928444079307,
    2.346972961436794,
    2.5777003977013098,
    3.0463993504497275,
    3.03142644085898,
    2.647993974864967,
    2.820356455971102,
    3.2028504326977805,
    3.148691877453592,
    2.5417526508523975,
    2.6244241401710693,
    2.9814475382950696,
    2.8647914985763396,
    2.7788714916788155,
    2.8108835221133583,
    3.0949870446527337,
    2.9288819848223806,
    3.2227396116964853,
    3.4257852505470296,
    3.469686395955333,
    3.4673571721957317,
    3.3338861516800224,
    3.4667511196249454,
    3.478753256107912,
    3.395357770028564,
    3.3344879496206543,
    3.419041825090618,
    3.3568276360301907,
    3.25703179357685,
    3.391910392478377,
    3.4175260833505554,
    3.3228094722819064,
    3.144876248362195,
    2.1815198182845785,
    2.4785139963027216,
    2.9399719660726182,
    3.0854187790453382,
    2.4720111454032825,
    2.6599706967707277,
    3.1937812684626223,
    3.2275150248583167,
    2.5188681309028893,
    2.7240348506297476,
    3.0999332277914067,
    3.135967785467159,
    2.7653426579759364,
    2.8534736550828343,
    3.2705813614661676,
    3.191036786887259,
    2.9134551002152147,
    3.2309538214544067,
    3.289238359479824,
    3.4503668937845777,
    3.0510349367540455,
    3.30116429991587,
    3.4089085150049367,
    3.4896349267040643,
    3.2161386372136516,
    3.4277503163296332,
    3.4324381714340406,
    3.4955641814915133,
    3.3180090090607486,
    3.4665523057556062,
    3.4757588112147815,
    3.462514979952143,
    2.5704365858945284,
    2.5928463897120957,
    3.3033035752459483,
    3.1698930653172344,
    2.8246731233753692,
    2.776897799527349,
    3.486843185024844,
    3.2956027924329105,
    2.676919196263209,
    2.603391812640023,
    3.220303060182278,
    2.9798480155942055,
    2.859887340302765,
    2.714993122611139,
    3.34701597720332,
    3.0372265297353516,
    3.2564124366058707,
    3.307506881176861,
    3.5934397933418363,
    3.4600636794775443,
    3.3658951889593314,
    3.3572399971733464,
    3.661241336021373,
    3.471760405598293,
    3.2952504537170397,
    3.2591225279687537,
    3.4763705947906467,
    3.2589023200659195,
    3.3480114471739997,
    3.2505023158305133,
    3.4907699939829158,
    3.2043804142747607,
    2.5271039749178366,
    2.8174275943223615,
    3.1701529835944977,
    3.2815450207743737,
    2.645393243280437,
    2.8470601086573266,
    3.161451621087685,
    3.2042740125235802,
    2.8153040999495698,
    3.001552489742412,
    3.30995591964441,
    3.3086738608039776,
    2.8786086562024833,
    2.9710670402959773,
    3.2272556329611977,
    3.1454163696206887,
    3.2373083802590985,
    3.6145131617825386,
    3.4966908323930235,
    3.6841781415856123,
    3.099916968769626,
    3.4071757256705064,
    3.2711960897667973,
    3.3811345986837655,
    3.4961184732634605,
    3.761845833492303,
    3.618727442124766,
    3.702210075236644,
    3.3216996709743256,
    3.523756122346297,
    3.3261416022454284,
    3.334212336800234,
    2.8506962206278215,
    2.891810883966154,
    3.4817880485906683,
    3.3381419111410198,
    2.9650401762752896,
    2.943425672973605,
    3.4471781495422333,
    3.2607567239404087,
    2.9401048479851415,
    2.8714384991912927,
    3.38103900910045,
    3.125540657744076,
    2.9635741021944124,
    2.834093119744698,
    3.2891962586788432,
    2.9764702160790852,
    3.5204054633953343,
    3.6595106820968044,
    3.756394655440765,
    3.665611467896632,
    3.394002850263714,
    3.450876221247792,
    3.5238070271357618,
    3.3473261063157986,
    3.554857211884756,
    3.5936878367095004,
    3.6248819376465002,
    3.4405583680772835,
    3.3563613690945786,
    3.313443179446347,
    3.3345489802933623,
    3.0502624436060515,
    2.412821748960317,
    2.769616115739191,
    2.892246707125098,
    3.0543848875609445,
    2.89841568390245,
    3.1628951949321564,
    3.3588113327278917,
    3.442699315603413,
    2.6588173905509773,
    2.9254951851934976,
    2.905916681815918,
    2.974699381004146,
    3.0936095759110227,
    3.265169473103473,
    3.304905406047503,
    3.282540738307702,
    2.6568798015236608,
    2.9695068555389805,
    2.74368538015186,
    2.933939304437588,
    2.9930413296081286,
    3.2098267550502326,
    3.0181905321940654,
    3.1241791584330034,
    2.827463304658768,
    3.038569610072159,
    2.7106444662103915,
    2.8045085096197795,
    3.095991334728077,
    3.2178505814548535,
    2.892655983943052,
    2.894488829938667,
    2.7259240741021333,
    2.742730279087091,
    3.147445700056963,
    2.997292596616689,
    3.1563858967077465,
    3.1216250954923073,
    3.540475538616181,
    3.357720452907745,
    2.7425123401076243,
    2.67639329080957,
    2.933276845678245,
    2.691915503319758,
    3.144354413049771,
    3.017769428334412,
    3.30592450613148,
    3.016053555449715,
    2.84235470490907,
    2.8657628265909576,
    2.8815374323837712,
    2.7802913128103417,
    3.1654727893376156,
    3.086812188362295,
    3.1283153480075914,
    2.9334565124591467,
    2.7909221541278946,
    2.7327490291890175,
    2.6405566252137893,
    2.457070102381745,
    3.060574600640823,
    2.908156976643551,
    2.8364913021188247,
    2.5559201330854093,
    2.7777993131168808,
    3.110931542693228,
    3.087522241632932,
    3.2181206570880074,
    3.039439800876985,
    3.30902270972552,
    3.3195349710568713,
    3.4048567096383087,
    2.9871792179544707,
    3.224745307048889,
    3.0439764670790046,
    3.086480296065266,
    3.2158574059764273,
    3.3829942353771916,
    3.2197374745101097,
    3.2004831129898568,
    2.9879906636942044,
    3.337044973266706,
    2.915373788069846,
    3.112351419970391,
    3.046279965596006,
    3.292674760411181,
    2.9000534071024777,
    3.00727677003736,
    3.1407160820704156,
    3.378785631801108,
    2.8153127954007964,
    2.917080245506349,
    3.142754931072761,
    3.2834366210284607,
    2.7163516702944914,
    2.723396798389032,
    3.0295697756868574,
    3.0611666214438453,
    3.3041790286090746,
    3.1521748542868524,
    3.276790088177708,
    3.2611933829174466,
    3.503305944254571,
    3.3232088904466446,
    3.031347430228127,
    2.971542472789069,
    3.0260762574092595,
    2.7804509463526625,
    3.2538314468590634,
    3.138020895863103,
    3.205143769659659,
    2.916682585546785,
    3.1333958790959855,
    3.2132200055661837,
    3.019580387399201,
    2.9448270221272423,
    3.209412374832879,
    3.1609175092815196,
    3.0130870836068926,
    2.8194325729799097,
    3.0830761014048567,
    3.0694877507407847,
    2.7082810953487675,
    2.546195130654606,
    3.1036321155076507,
    2.9728693771376475,
    2.647927495183246,
    2.3742462940255815,
    2.8025123820062414,
    2.994206917248207,
    3.266650366729676,
    3.309096577436425,
    3.0943357351348304,
    3.186734859765723,
    3.5165049222488243,
    3.472378721523511,
    2.9762691242616874,
    3.0701554351745948,
    3.2061690686759317,
    3.141009475057628,
    3.200165146238729,
    3.188572744959106,
    3.3589783314148782,
    3.194171695316466,
    2.8716903732177266,
    3.099501908663785,
    2.9863319549033402,
    3.0776909295149295,
    2.999553206132452,
    3.1178890586857206,
    3.0335216824508793,
    3.0197480339476286,
    2.9826840769112994,
    3.110817039523972,
    2.9033147388920817,
    2.8900636898335748,
    3.026408038993705,
    3.049021843699343,
    2.8298699292977707,
    2.7032058039540408,
    3.0716144485334285,
    2.9523859936407435,
    3.484895384502191,
    3.2373994775580974,
    3.310714889862391,
    3.1312589298028985,
    3.667312052615028,
    3.3758530202123804,
    3.002345311668032,
    2.81205983069853,
    3.188415881727859,
    2.8474532751252264,
    3.1936305753064405,
    2.9287487685684575,
    3.3233587279526287,
    2.9191539570600264,
    3.0447474796993292,
    2.9882384668214064,
    3.1128338955772668,
    2.9118532621217907,
    3.1540889331962325,
    2.9729490820284776,
    3.1289809172979237,
    2.807601269961185,
    2.930506218527193,
    2.802809756805745,
    2.815777411814978,
    2.538008094397406,
    2.9694436078816944,
    2.7178499168079027,
    2.7554562973143595,
    2.3466137614445333,
    3.138723275690799,
    3.32244385482042,
    3.4294721509897883,
    3.449187841257656,
    3.1994766464958744,
    3.3133688372906542,
    3.4334773360809168,
    3.4009268115963547,
    3.267023849943249,
    3.353056105811447,
    3.312312768945209,
    3.2308710570340544,
    3.2826483455982904,
    3.2844684207444086,
    3.2347419457409847,
    3.0813553475694566,
    3.1880374425615075,
    3.48865237672552,
    3.131779687689744,
    3.2605676332595612,
    2.999355751931939,
    3.1623698518388306,
    2.8434261609401075,
    2.842952819448914,
    3.2699352381378395,
    3.4636670964940226,
    2.9770396306226377,
    3.0023321069736735,
    3.007776401931711,
    3.071067128849311,
    2.5803996747428144,
    2.474587881164671,
    3.3542885884959275,
    3.25519185148352,
    3.612848999557319,
    3.3650127831941385,
    3.401291289948566,
    3.248606996195435,
    3.587040578004885,
    3.3054717612702706,
    3.2698466944435567,
    3.0914824206171025,
    3.259246407437902,
    2.9131013911508576,
    3.2731441744950023,
    3.0270525190118596,
    3.1890392016384137,
    2.789282411931117,
    3.320892723575576,
    3.355889879674057,
    3.2249294574192944,
    3.0763657028191553,
    3.145880150485966,
    3.0068510963995667,
    2.943722818367096,
    2.6313961730292474,
    3.2025632369301205,
    3.154942253503119,
    2.85607141609408,
    2.6243744156375763,
    2.9516610427785506,
    2.7390792572085845,
    2.4979985448216233,
    2.104068298902864,
    1.5498154678102822,
    2.0043303887194073,
    2.369201274103501,
    2.622367615186583,
    2.207094670464974,
    2.5082659332639565,
    2.9789421243169363,
    3.08246597536313,
    2.1159723834356656,
    2.455944041821401,
    2.6725339252117806,
    2.834039869741296,
    2.6967950151396707,
    2.900444311305813,
    3.210896759653246,
    3.2299965570057707,
    2.4737371758530093,
    2.8298676744300355,
    2.868410499716841,
    3.08787438637295,
    2.955415348449901,
    3.230011283258131,
    3.308695979693391,
    3.440626201938903,
    3.014439031737405,
    3.2383618563358745,
    3.149036468769747,
    3.2638236375810328,
    3.4171752720743482,
    3.5874323289215333,
    3.5138756891485925,
    3.561517507646089,
    2.0270477329630463,
    2.1971918426022614,
    2.813533081191288,
    2.789557550710106,
    2.672519018599499,
    2.7199747642222722,
    3.3910092515346566,
    3.253480506267918,
    2.4277774598448434,
    2.425357409578761,
    2.9275613227249426,
    2.7536227332321013,
    2.9615169135341803,
    2.859647780598902,
    3.4331946513300444,
    3.1552557550377545,
    2.879635231612822,
    2.9709960257406256,
    3.241949833138583,
    3.1769626212704334,
    3.3523068610905216,
    3.364087485276022,
    3.6549351043913476,
    3.5141467151310932,
    3.2305422627586666,
    3.1653004951614943,
    3.325149494408315,
    3.1170626704055144,
    3.588152429259787,
    3.4699734952886807,
    3.665398611412784,
    3.3945871021558944,
    2.027423936187469,
    2.44013378372567,
    2.7020553918016987,
    2.913870279837039,
    2.4625957097821614,
    2.750228073711307,
    3.002614110124643,
    3.1161695017108015,
    2.5631763766852655,
    2.8462949902426997,
    2.998261536506347,
    3.114657772890587,
    2.8925483104486274,
    3.0809138227185158,
    3.2174346353090035,
    3.2452573317698095,
    2.829799299465612,
    3.1851922671504767,
    3.0922723169762945,
    3.2976709072065225,
    3.0849867719452195,
    3.3624739533660866,
    3.241654041224221,
    3.369489781087098,
    3.3378090573293333,
    3.560652580154202,
    3.362133522148481,
    3.4609494120659363,
    3.49714839133619,
    3.675897023470289,
    3.4224766613527398,
    3.4694939464316366,
    2.444037113249266,
    2.58949948933821,
    3.100091053064255,
    3.047797279230563,
    2.8936560843993835,
    2.92001794186521,
    3.4045470317363185,
    3.2602660041272897,
    2.8323013569020405,
    2.7959173098795693,
    3.193249055358768,
    2.9953782309795898,
    3.1314951924195564,
    3.0096921758688646,
    3.41353372654751,
    3.13315242610971,
    3.1786150881583635,
    3.292419708959849,
    3.421756744223708,
    3.359467953300894,
    3.451051481212623,
    3.456720337197307,
    3.5765642555176536,
    3.413877560119316,
    3.521382932651809,
    3.474233004798484,
    3.482859390697782,
    3.279859353767511,
    3.6528389158951784,
    3.529721926971083,
    3.546496717832043,
    3.2592537365563206,
    1.9468391182504183,
    2.2223616137065996,
    2.6933227663126442,
    2.8250094673833424,
    2.416855316888848,
    2.5515970422280922,
    3.114487463826396,
    3.10748932419441,
    2.395836966958694,
    2.5909171806997358,
    2.9328936111478967,
    2.9802329656574305,
    2.8069798208214145,
    2.8652576929913183,
    3.3012867130861006,
    3.209952972807421,
    2.6923396215580717,
    2.9741231144151827,
    3.0602034548787627,
    3.1917205224755305,
    2.9645174942488417,
    3.1702615959787064,
    3.2951730537531203,
    3.3336339824018753,
    3.1182988133254668,
    3.289532122730314,
    3.273822597940785,
    3.315060636769557,
    3.3279393067223215,
    3.441300897601991,
    3.4386860663938137,
    3.3993339389557615,
    2.4123115039564365,
    2.398860638794729,
    3.1303987285887187,
    2.9745186748797074,
    2.8657920894841853,
    2.7386227023597165,
    3.5168365856447714,
    3.2587447857711513,
    2.6737847976837426,
    2.5360314700626168,
    3.1620118112754483,
    2.8776274274416425,
    3.0254819312235974,
    2.7901979826493917,
    3.491032080302939,
    3.105758834102243,
    3.0944352981803718,
    3.09774849615639,
    3.424726175019901,
    3.2465399316606396,
    3.3465159174202617,
    3.2736064762629313,
    3.628414299738539,
    3.3705831510686988,
    3.3136743156950077,
    3.1918318000736603,
    3.429382703301121,
    3.1378784965699063,
    3.4646588293354137,
    3.2833817181803857,
    3.5588754521000014,
    3.1918881670003207,
    2.3542277316790896,
    2.6056286203030776,
    2.9562337559321334,
    3.0535138557487618,
    2.604198709510559,
    2.7430942840432744,
    3.077762604602878,
    3.0873045126037892,
    2.7623487957435655,
    2.9233279041568485,
    3.1865947988279624,
    3.1980449741969963,
    2.933466014542498,
    2.994938252127829,
    3.2516142340821483,
    3.1757049298698234,
    3.0271260431383125,
    3.3386615056895366,
    3.251482149320728,
    3.3964222733534406,
    3.058655133561027,
    3.29628346366371,
    3.1884443654042958,
    3.251095181126683,
    3.4121151279984496,
    3.6146700962263605,
    3.4563321131167526,
    3.511614883756925,
    3.3632347793443365,
    3.5152253239596445,
    3.3104465085964687,
    3.298753102366266,
    2.7652489872635977,
    2.74202731537026,
    3.3485441782067404,
    3.169694186327381,
    3.0281520863036353,
    2.89149991827015,
    3.4752443815831295,
    3.2094923224213425,
    3.0112689004200357,
    2.854537790252695,
    3.366878564651021,
    3.0620461045026968,
    3.1455715957316555,
    2.897880026889993,
    3.43078261230773,
    3.0398895634215934,
    3.373663053842125,
    3.428395201824191,
    3.5739033648002714,
    3.4159652517747165,
    3.4123531801781093,
    3.3534064760639986,
    3.5112141058293203,
    3.2418079931844206,
    3.5816183898951426,
    3.5059344528297123,
    3.564997288486643,
    3.2952207283481583,
    3.4920468101607294,
    3.3256984548252233,
    3.4101364364382087,
    3.0356112040243977,
    2.291168429103906,
    2.6126284913704874,
    2.7804536701175335,
    2.8792658551017185,
    2.9758869715370526,
    3.1652367347721615,
    3.3390227820524516,
    3.324116786910012,
    2.6699951740150443,
    2.879020892745779,
    2.9112098103535367,
    2.916183001863769,
    3.2420799178345017,
    3.3412870999671673,
    3.396868819935831,
    3.2897294214200974,
    2.5718344712211776,
    2.8360806099933886,
    2.6946333872750015,
    2.8011888288210924,
    3.028343786139498,
    3.1942477972175176,
    2.996354062567902,
    3.0216788715302023,
    2.9351058375319345,
    3.077783769488404,
    2.8205144991541244,
    2.829351483598363,
    3.2578765991540166,
    3.3303192106550283,
    3.0171631816198943,
    2.9502985613431805,
    2.6679044818487707,
    2.682075650431477,
    3.099243289019884,
    2.9265191037862452,
    3.3231217214212667,
    3.2404179531663,
    3.6149680626162866,
    3.3632184010625945,
    2.8272108557632816,
    2.709107189597429,
    3.0042447054418195,
    2.703753303536014,
    3.3668448368081734,
    3.1696313222128207,
    3.4762010726298507,
    3.0989260805359753,
    2.825531536139748,
    2.8419192911483186,
    2.914617511794699,
    2.77313918346087,
    3.280231943634798,
    3.177398298012334,
    3.199965497858315,
    2.951199053403218,
    2.9847779586345244,
    2.8639423178591747,
    2.8353689502300403,
    2.5723243523168176,
    3.298855607698114,
    3.088481487566824,
    3.0461288840100478,
    2.6848156104371688,
    2.749465119574864,
    3.014441884428213,
    3.0277701261639924,
    3.106502146617684,
    3.159165547174083,
    3.323664092206675,
    3.328128276709648,
    3.3243296161824962,
    3.0968557284704783,
    3.255304749018525,
    3.11563831641726,
    3.105944906491324,
    3.402466972299353,
    3.481180608384704,
    3.3472953650604285,
    3.2575161491431803,
    2.9012921491863555,
    3.1666893901311415,
    2.8426542219515554,
    2.9458103780696385,
    3.1029943792527317,
    3.2565465238935767,
    2.8917902360079024,
    2.9044367369986688,
    3.2447940459200186,
    3.3902947670402823,
    2.903389053001245,
    2.9125615843649784,
    3.307679506125968,
    3.374460070345051,
    2.8458012781084343,
    2.779334311915018,
    3.070346961997342,
    3.0553439248863747,
    3.324554640330755,
    3.138232127331704,
    3.4870418866036266,
    3.374968442155325,
    3.607346602504682,
    3.3527790817576264,
    3.2119507664758356,
    3.068552794005506,
    3.166077881386586,
    2.8551296576541763,
    3.5025267364090036,
    3.2846099027399402,
    3.4022565301846286,
    3.02766956558375,
    3.107197370536619,
    3.137011789328648,
    3.0286303483486474,
    2.8877015976504916,
    3.3293787966830743,
    3.1985141212615287,
    3.082041706247189,
    2.806901456918168,
    3.2582945501050355,
    3.1523739763640934,
    2.8667604323730163,
    2.6084904483112847,
    3.326410479087337,
    3.099529017276841,
    2.8422104564716064,
    2.472518341188744,
    2.54822317109224,
    2.713987734141566,
    3.0170564338754238,
    3.010180850490889,
    3.052383968277239,
    3.095181893461487,
    3.3739107421996044,
    3.2594404360480844,
    2.8189187756186436,
    2.898553520861003,
    3.0515527063884518,
    2.9607348168844587,
    3.2334022263739373,
    3.1957132051680848,
    3.3441585549289763,
    3.1381631596549386,
    2.6758436382487547,
    2.858457121412349,
    2.8081539838535554,
    2.822718758990746,
    2.943118748535868,
    3.0193592584569213,
    2.902123547426525,
    2.8155209615759365,
    2.9303986808183278,
    3.0147443747517984,
    2.8367226407786563,
    2.757121384661634,
    3.081650919728874,
    3.0803406409538354,
    2.8225177683495746,
    2.635014828273867,
    2.898359987252472,
    2.7751588886614242,
    3.3205438791995876,
    3.0479113387410752,
    3.3795956267986953,
    3.160313410390337,
    3.644148756230172,
    3.2914657211541702,
    2.9392343040865465,
    2.719438064716588,
    3.1144709999300044,
    2.734749327073953,
    3.3205079771103847,
    3.0091716033123412,
    3.3996524667562795,
    2.9326745210720775,
    2.9251344026271733,
    2.8548250575096317,
    3.024110088399582,
    2.7704207877545635,
    3.188989031036482,
    2.979513224523343,
    3.1020631964139556,
    2.709605606937772,
    2.971527145073994,
    2.7954722706706816,
    2.8396802467930007,
    2.4854478731747585,
    3.110711571330003,
    2.817283594590961,
    2.8407332484629473,
    2.342486807491321,
    2.932021998698638,
    3.066751888756861,
    3.1960943460959905,
    3.1711040676361115,
    3.1658964297649446,
    3.2076256501058866,
    3.3019734703493744,
    3.2022300082340402,
    3.1709288085881537,
    3.222677927949466,
    3.1941128025419694,
    3.091568151811849,
    3.3254999629701425,
    3.2877335323062757,
    3.2396488047566603,
    3.0559127522256597,
    2.987682257980641,
    3.209689027204881,
    2.9242045178007663,
    2.9633278031780494,
    2.978467306076995,
    3.064269727552638,
    2.7486149444933075,
    2.665394371400283,
    3.214704829645026,
    3.338351454912954,
    2.8954655078055898,
    2.8466618058509088,
    3.0758447610968456,
    3.0905308633980813,
    2.600628312458612,
    2.4333624475900297,
    3.2308720986780024,
    3.0985086077564548,
    3.475373549447303,
    3.189816081797794,
    3.4796079367264316,
    3.24639862484996,
    3.575325009638859,
    3.2196952904707787,
    3.259918431528572,
    3.0288254680266427,
    3.217870716468231,
    2.826724926094613,
    3.403460207470385,
    3.081268217248393,
    3.279178252939253,
    2.8141222719027112,
    3.189680466093103,
    3.171575770948711,
    3.105649549207988,
    2.877148308478814,
    3.198176265349793,
    2.9671850083950386,
    2.9339640854489035,
    2.513212259659051,
    3.22489101886573,
    3.0988004959630677,
    2.8498611408594394,
    2.526383323216668,
    3.088710360932576,
    2.7864343274166075,
    2.5909527414137057,
    2.088583841019514,
    2.1024413009918903,
    2.4802542416470708,
    2.8288188482109042,
    3.008052222086918,
    2.422432525322641,
    2.658299713374331,
    3.1021176370601657,
    3.1258574955757474,
    2.4532843129344726,
    2.7095830441760373,
    2.9147613970478923,
    2.991966216311698,
    2.7334339482088774,
    2.845540022432963,
    3.116672638996305,
    3.0306675684947226,
    2.9248235429518825,
    3.229624234504746,
    3.210119600738543,
    3.3732670309286124,
    3.109541902777696,
    3.326271003209045,
    3.3521807125986025,
    3.4074216410183924,
    3.2398063042126903,
    3.402672150640371,
    3.2659843898168157,
    3.3109740483222154,
    3.3846326678319762,
    3.474334506987373,
    3.33793274665101,
    3.2846550838200796,
    2.5065112905514115,
    2.573296235603269,
    3.1904687330538786,
    3.065799875171467,
    2.7897106564392073,
    2.7620835371436625,
    3.3927939559735636,
    3.169875975634225,
    2.6516824030635266,
    2.57171136275631,
    3.0714225276304923,
    2.8237377154013883,
    2.8672083466595826,
    2.694909016605771,
    3.2215709662265835,
    2.8692018783058035,
    3.264407452325975,
    3.2816845551077503,
    3.5062023050543134,
    3.3651410084283118,
    3.4225135053752904,
    3.3668940427655616,
    3.589609906520592,
    3.3655404199428602,
    3.3361516538136695,
    3.219699144314298,
    3.3362429597021084,
    3.075701932352689,
    3.4295116330751423,
    3.2519670543715797,
    3.371147662569534,
    3.0310561326028873,
    2.4292577549438894,
    2.7887508502907394,
    3.0265335810760274,
    3.1818996870576886,
    2.562746215244423,
    2.776551852578492,
    3.0078320768830125,
    3.0307949616054697,
    2.724405902877831,
    2.9448454682051675,
    3.069942493609447,
    3.117587906561074,
    2.7929897717759573,
    2.869086509572929,
    2.964552047825962,
    2.864843803826659,
    3.1704939388210915,
    3.4876388357319654,
    3.350260804251766,
    3.5081710321146025,
    3.107479653589863,
    3.3167327854418005,
    3.1626878194443764,
    3.202262295388141,
    3.443726297680052,
    3.6146581750968574,
    3.3798812243455205,
    3.417436669868396,
    3.333268226909622,
    3.4056668634757563,
    3.1140716922555844,
    3.037667431226491,
    2.771181907417377,
    2.8510059976792155,
    3.344887480469132,
    3.2251462196047296,
    2.8839414199699025,
    2.8424819066707707,
    3.2853224378648354,
    3.054365012635552,
    2.8812862504264842,
    2.803054938487473,
    3.1677702876192457,
    2.9270938839729173,
    2.896321349787838,
    2.705087418280833,
    3.042393891107659,
    2.6818358081696965,
    3.4566287885535396,
    3.5182359609010523,
    3.6098728316529183,
    3.4908071959012505,
    3.389664338979527,
    3.3273211892602075,
    3.3953129624180223,
    3.140091043473886,
    3.515930622183407,
    3.4351099127801135,
    3.402663290312259,
    3.1643453371366657,
    3.3691701330878896,
    3.1747570550209563,
    3.129751576043696,
    2.757579543390394,
    2.399798812923505,
    2.608482744616606,
    3.069021273311349,
    3.135574968461919,
    2.557601879657663,
    2.644353959783395,
    3.174739066917443,
    3.1035910651587226,
    2.651548122343783,
    2.762193903402123,
    3.1037615415588187,
    3.061013267414517,
    2.758950883452595,
    2.738371747642268,
    3.133854248885802,
    2.9486336569354186,
    3.0712107252297436,
    3.2995535344721154,
    3.35151966198115,
    3.4263724596077587,
    3.0512493065652704,
    3.208737128361775,
    3.2838790825047983,
    3.260397001830848,
    3.304018466662978,
    3.4041828943189016,
    3.3681720641324127,
    3.3289889208129564,
    3.2397886574689307,
    3.274508911166735,
    3.2244684401978922,
    3.0914733049950742,
    2.7824695514843434,
    2.6841841027418707,
    3.4137711914746567,
    3.1752182790794405,
    2.908522187036551,
    2.7303749208333645,
    3.454349774907617,
    3.133931277223792,
    2.8100652742137795,
    2.605385431944862,
    3.2282259753506994,
    2.8737222600832535,
    2.852148927975756,
    2.5673323062198925,
    3.210639369122924,
    2.767321464089008,
    3.401587879650953,
    3.3334736419306568,
    3.6343400221178697,
    3.3862785214067537,
    3.352048102031385,
    3.227301230329424,
    3.5107291629596205,
    3.192534212403475,
    3.3794750589716163,
    3.2008336099787558,
    3.4166133273948818,
    3.066784656094568,
    3.2559718390348884,
    3.023446874222943,
    3.2298757636917648,
    2.8044162250629667,
    2.6921929822411306,
    2.887742543565019,
    3.2302267488556757,
    3.2715447842943597,
    2.6672247800610447,
    2.7382638147579597,
    3.0509045991812096,
    2.9783531974172943,
    2.8809194959019764,
    2.969019855387666,
    3.2273107365028304,
    3.1567008062383035,
    2.787409763061454,
    2.7398548871781623,
    2.9663072513571196,
    2.7631680311604496,
    3.298126699408426,
    3.564296326280851,
    3.4606909719171375,
    3.5546565190973025,
    3.0095575452064534,
    3.1762082798189217,
    3.0472354606449494,
    3.0250769376948567,
    3.480066273947484,
    3.618330898965106,
    3.4547005957182018,
    3.432521592325405,
    3.144219290073579,
    3.182568279488967,
    2.965647608427868,
    2.8243831010295932,
    3.017126114543807,
    2.9304834766636976,
    3.533016669711494,
    3.2925690976687907,
    2.9759943091504217,
    2.7836572165350963,
    3.3181994738526654,
    2.9820268905918406,
    3.0120213362871824,
    2.809185240943947,
    3.3049649367295624,
    2.9484672450142697,
    2.8610756567907223,
    2.5554196602589334,
    3.0231891849793664,
    2.5589745491426354,
    3.5744977230433452,
    3.5737170288772955,
    3.7071222237145536,
    3.495182907900257,
    3.281508541336459,
    3.159886922136752,
    3.269792740230844,
    2.923143715618925,
    3.5379803219534796,
    3.4192623930803014,
    3.463588219229326,
    3.146998646483447,
    3.1573294425953216,
    2.9184388995981587,
    2.9585717114065524,
    2.4981354579032455,
    2.7593205554515388,
    3.0040259342976796,
    3.1080302094484997,
    3.143004152286928,
    3.108801331262396,
    3.2357966085624827,
    3.386839399171946,
    3.3003173299954103,
    2.91211200988538,
    3.0459144523923447,
    3.0352533809719975,
    2.968458670103526,
    3.1752079143687304,
    3.194757621553105,
    3.2274620685992925,
    3.0258691243903053,
    2.9349078262063535,
    3.1441194848786775,
    2.910297899435667,
    2.972235389664283,
    3.111947654732878,
    3.2206774502815136,
    2.972815914836402,
    2.931569844435516,
    3.0384160076180606,
    3.1230526422077185,
    2.8003849764502666,
    2.7500942272823865,
    3.111648925191618,
    3.1094391412819484,
    2.7528987795908177,
    2.5896246489212285,
    3.0659034890527126,
    2.9652641988950146,
    3.3422847013012293,
    3.070595978589167,
    3.3666924407232197,
    3.1927862804868137,
    3.5432022506436853,
    3.201510986524819,
    2.9817505564800895,
    2.78248036468236,
    3.056668125880961,
    2.678216792251775,
    3.212978943101257,
    2.9365472189242627,
    3.2142729733646096,
    2.7540742252019252,
    3.111258916304579,
    3.0319052644406987,
    3.0298809834887273,
    2.808381620223527,
    3.270520504433788,
    3.0865236115457595,
    3.0531479465743345,
    2.7166851500982196,
    2.9884446519809726,
    2.8045344731977258,
    2.723558879260664,
    2.398201961678887,
    3.0534052057202317,
    2.776803685888729,
    2.6759556848853014,
    2.231096878207762,
    3.058752530745008,
    3.275434963931391,
    3.2212025476362056,
    3.2474544797576934,
    3.170808526083266,
    3.2718857617822916,
    3.251450817044728,
    3.167034425397426,
    3.1597748252234648,
    3.2648529336434695,
    3.0813655522746597,
    3.0138964326715216,
    3.1993378463754936,
    3.181216537382429,
    3.0202676592125406,
    2.820723916548115,
    3.1551637035211577,
    3.3826405815777787,
    2.9763240660445063,
    3.043261908655772,
    3.0626263704035477,
    3.1537814223181586,
    2.7583258261886554,
    2.695129972148589,
    3.236675763454142,
    3.335970280379108,
    2.799721429641954,
    2.761201967101531,
    3.0516665660738527,
    3.018984877758701,
    2.467438255260676,
    2.2856194653765574,
    3.3111144362528817,
    3.220150193547413,
    3.431227648414106,
    3.1729063594356868,
    3.3984036034137386,
    3.206694087742453,
    3.4045008078455776,
    3.059267750394345,
    3.193916646592598,
    3.001516317754689,
    3.0666600266825044,
    2.705939616417208,
    3.2070144496880717,
    2.9102994055383693,
    2.986350131766233,
    2.5264222173645097,
    3.2923754719661726,
    3.2547220120921194,
    3.069021003018813,
    2.8718891005080236,
    3.2013463824150272,
    2.9945612568967723,
    2.8344951598437023,
    2.4712499794777383,
    3.164225752306464,
    3.0154972839681533,
    2.6873145209989824,
    2.389052500297499,
    2.9765406184130776,
    2.6707313822296337,
    2.3719217900266836,
    1.908662950293658,
    2.9155179136988454,
    3.028776243971296,
    3.2572803228256677,
    3.2052569851971,
    3.100045646463769,
    3.1040143079744933,
    3.342273809177046,
    3.178509325952122,
    2.986429342526351,
    2.9962286115788856,
    3.09990223853024,
    2.9444005800040847,
    3.07159866238996,
    2.968113271485933,
    3.0770422161775914,
    2.794017433701709,
    2.969958795721631,
    3.109057614270978,
    2.967159597938028,
    2.9487447683703962,
    2.945862745922245,
    2.986550735842174,
    2.8051907495086335,
    2.675956394286663,
    2.993396276548589,
    3.0213460852727287,
    2.78699145932515,
    2.65623933880493,
    2.859296340402196,
    2.796383311616612,
    2.4860522295985907,
    2.2222474116026367,
    3.182248386016487,
    2.9731414328583634,
    3.463036621699014,
    3.1165330549348758,
    3.3270032272599863,
    3.0465266323539035,
    3.4852798796785347,
    3.070730065033888,
    3.012447905889136,
    2.721513454359919,
    3.0856049960712646,
    2.639406060650021,
    3.0710693948800705,
    2.7006662916410997,
    3.043174092077371,
    2.513869952268986,
    3.132598000674518,
    2.982493836693674,
    3.075302361855425,
    2.7596551053590828,
    3.0921004018274836,
    2.8297400365124106,
    2.878720024752171,
    2.4314969577384016,
    2.9331244225340383,
    2.696555076686213,
    2.697062848344988,
    2.29002735576182,
    2.789450026047753,
    2.446619859085076,
    2.4004779127509828,
    1.8410538730328099,
    3.1740846962033373,
    3.2717058635384433,
    3.3359532944424553,
    3.266874920264224,
    3.120810498896325,
    3.114926184613924,
    3.173444365621915,
    3.0078842091933202,
    3.1917555518062724,
    3.1889353290445923,
    3.1207200090895952,
    2.9583551641081236,
    3.057785217046883,
    2.9320859250477547,
    2.848210558694837,
    2.5631794637247918,
    3.17392437593829,
    3.3639175453060948,
    3.0084616308533443,
    3.016263556940805,
    2.8519757294501398,
    2.882853173211311,
    2.537847656724862,
    2.385260952599902,
    3.169070498027511,
    3.244906959053859,
    2.76827112885793,
    2.6698648617182954,
    2.750330228964118,
    2.6690748252938783,
    2.1570838686490106,
    1.8803466682340784,
    3.3898935224315254,
    3.195961401248236,
    3.5159704938870124,
    3.1724656309617516,
    3.323544376598976,
    3.03170924147323,
    3.3125045387155767,
    2.887490789962605,
    3.193887597027539,
    2.9143005632571883,
    3.0744690983685157,
    2.6337419693857727,
    3.03945109835973,
    2.652384445528213,
    2.7976246501188258,
    2.2593601758090527,
    3.295807164717078,
    3.218666153320025,
    3.088259685906593,
    2.814335143560637,
    2.979296259344469,
    2.69185136651212,
    2.607614067408112,
    2.120937725836419,
    3.0903350642638223,
    2.9194968674284634,
    2.643952599845468,
    2.279886093918682,
    2.668840745578641,
    2.296724526691242,
    2.0560707088967156,
    1.47069317682097,
    1.7997191085996085,
    2.274372072474878,
    2.566992547083671,
    2.8012226615482088,
    2.433294522094293,
    2.7937460517605968,
    3.1294503634912085,
    3.253501934586748,
    2.421980908669039,
    2.777757265369459,
    2.9741290707850405,
    3.103865085232506,
    3.010220991755176,
    3.2534196160626285,
    3.47911243548129,
    3.4939987366251612,
    2.5979213211259444,
    3.025881279484379,
    2.9520905854331057,
    3.206082219342094,
    2.9683384498721663,
    3.315177047300636,
    3.26392184311307,
    3.4375810827725255,
    3.210374559285687,
    3.519381113593331,
    3.3445729545167975,
    3.5018919886896263,
    3.5299183791183104,
    3.772685071420827,
    3.5980790749725102,
    3.6824752571861294,
    2.195090198823941,
    2.42054064682189,
    2.9170258421211637,
    2.9131533573455988,
    2.8228154713840765,
    2.9377939388140977,
    3.4509143635630153,
    3.348307217694571,
    2.6461404616452455,
    2.718289581474477,
    3.1322141472101555,
    2.98999037638872,
    3.2032427818608373,
    3.1732626188370125,
    3.616368539686727,
    3.3740693446597962,
    2.9427893393212052,
    3.1345744128983632,
    3.2529486842622433,
    3.2628522982675383,
    3.3259998810404667,
    3.409725709382454,
    3.562495237573182,
    3.4750345090405355,
    3.3655251104447492,
    3.424269924139367,
    3.4540704252093626,
    3.335869271434553,
    3.662852927830712,
    3.6340394821064494,
    3.7065629400110582,
    3.5013280393090263,
    2.162651770003709,
    2.6163266852478957,
    2.752495794783579,
    2.9692994112724787,
    2.488438569235681,
    2.864227894241969,
    2.989437554875882,
    3.144523208304099,
    2.7449797346264044,
    3.0686306875701277,
    3.153511826314481,
    3.2705962133788042,
    3.012263897154962,
    3.266356339776678,
    3.329341736859758,
    3.3802930402135303,
    2.9012276632449043,
    3.346054288960895,
    3.073420879423075,
    3.343531575129592,
    2.980610448814633,
    3.3598665046960514,
    3.094910390391724,
    3.30064542063322,
    3.462889012937809,
    3.782315319799321,
    3.4378025329577007,
    3.610482868402812,
    3.4830355264897426,
    3.753133846206982,
    3.396734094637676,
    3.514346799642475,
    2.519052339281398,
    2.7289710745250884,
    3.0905165442936076,
    3.0634945752103535,
    2.8672053610870742,
    2.982196722791302,
    3.3283410488418026,
    3.2318251541951906,
    2.9443596504638236,
    2.9885436067871414,
    3.2879942480118167,
    3.134491070664175,
    3.205731279991913,
    3.1670139635957897,
    3.4713259394415665,
    3.242132633001349,
    3.2043299755229073,
    3.4180253106642304,
    3.35881551779477,
    3.3733208279881746,
    3.319986602513703,
    3.410945060088663,
    3.3996665835687767,
    3.307532779047202,
    3.5918568704603335,
    3.662120155577414,
    3.521687814916894,
    3.4151252577386204,
    3.6119816033498227,
    3.577782764852176,
    3.4979739387157576,
    3.288979150027264,
    2.221974545201777,
    2.532857269552353,
    2.917796605847741,
    3.069969943401837,
    2.589456687680675,
    2.791341763981138,
    3.2159764387226994,
    3.2659530001100014,
    2.7689128123323288,
    2.9720500456722654,
    3.276820157429496,
    3.315778663556396,
    3.089986798414425,
    3.178571896491132,
    3.5205525061141048,
    3.447948469971399,
    2.8022135012632585,
    3.140422114628359,
    3.1754066688797558,
    3.350209421096264,
    2.9394555347961564,
    3.2001594574004777,
    3.2515585156079587,
    3.3479915388553394,
    3.3423345285969543,
    3.5668077992292453,
    3.527652663072171,
    3.6061385622852695,
    3.4357015662178796,
    3.5938740003809704,
    3.558335273608514,
    3.5599018329042753,
    2.6071017275428936,
    2.675174623733289,
    3.2646792208546938,
    3.1781528860188093,
    2.969982513991659,
    2.92610317332334,
    3.5393722060306887,
    3.3577851470805653,
    2.9688642128571976,
    2.9065384541921113,
    3.4244443064971897,
    3.1947368045262006,
    3.2532168016037986,
    3.0813662209731616,
    3.6452679950519498,
    3.312690201061649,
    3.1417518400503113,
    3.237395744027395,
    3.4716953546978777,
    3.386892510986074,
    3.2832491565464292,
    3.26443812663271,
    3.542513466226943,
    3.357077582872688,
    3.4817549818893365,
    3.4581879584852144,
    3.620877688622767,
    3.418726591357,
    3.5447528996507427,
    3.4170469715119447,
    3.646111593523349,
    3.339272453181972,
    2.5424296553565657,
    2.827979549517998,
    3.055713003034412,
    3.1842555965702153,
    2.6132725727634147,
    2.8278423382777085,
    3.0498144456646514,
    3.1214736885656698,
    3.0352659498365666,
    3.2028162510201756,
    3.409808113427225,
    3.4268531374786244,
    3.0542924124357347,
    3.150450550667208,
    3.3457485275721597,
    3.2954922935533455,
    3.0762716292123367,
    3.4510987034907754,
    3.2608939376420594,
    3.4641336520286545,
    2.9094832774947195,
    3.2216185949176683,
    3.0429922940094407,
    3.1814405114993267,
    3.545992880770214,
    3.802325753907299,
    3.5780102843636685,
    3.683934948087684,
    3.332149329008095,
    3.538487182802829,
    3.3063603971123916,
    3.349898596185478,
    2.8927489376004862,
    2.93713645195575,
    3.391601055526441,
    3.2727042818806416,
    2.986598093474944,
    2.9367768476393485,
    3.3886316279103386,
    3.201560309235595,
    3.2148973953835442,
    3.1181666245838673,
    3.5370897136620494,
    3.2852259631834615,
    3.224358661937724,
    3.038222240967567,
    3.4778557906916765,
    3.1443005092405345,
    3.3758155888547083,
    3.5084001834375957,
    3.5419684109916987,
    3.4619893057818816,
    3.2370128872445907,
    3.2338903162418964,
    3.339121598173759,
    3.141995615124795,
    3.6638165653081356,
    3.670035883646514,
    3.6493656005333834,
    3.4616770241559305,
    3.440740070995509,
    3.322072457005892,
    3.389282123657901,
    3.0738206238498424,
    2.5846102908962667,
    2.956514785874351,
    3.132935259710732,
    3.2661385256883886,
    3.2315727921482065,
    3.490065904662063,
    3.653275125752928,
    3.7017050747429376,
    3.067984090266616,
    3.3313304242831414,
    3.370541159312352,
    3.402074530506952,
    3.6487433970309446,
    3.807268854199469,
    3.8187223871274405,
    3.7612988930980484,
    2.709360068659654,
    3.0417892666266457,
    2.8257656227169257,
    2.9877425389824195,
    3.15804604243618,
    3.3838669224276376,
    3.1178239689895255,
    3.197589259383844,
    3.1587461120977824,
    3.379134035704969,
    3.042354032066352,
    3.1154211507279372,
    3.523944702246653,
    3.6532857094278115,
    3.2261336458575576,
    3.213942442020471,
    2.9010209814312717,
    2.991040575469467,
    3.3879902440915393,
    3.2764253761674382,
    3.5127764211655674,
    3.496020811744309,
    3.847813908671955,
    3.6549021095015175,
    3.175687132421294,
    3.137056208023382,
    3.3973967079739635,
    3.157261762141383,
    3.7204979306533064,
    3.5799242875465414,
    3.821801777806958,
    3.4968689566111935,
    2.9233844391846633,
    3.0183750746712157,
    3.0112074207803863,
    2.935965712460803,
    3.3815074903731723,
    3.3267227398866965,
    3.2825136027079442,
    3.075098000713221,
    3.182226514072477,
    3.1513911800262804,
    3.017970594018516,
    2.836271776386382,
    3.5437297214294534,
    3.389068724191869,
    3.215250137858706,
    2.904850933476537,
    2.9377923980775007,
    3.2722795115410097,
    3.261285832090519,
    3.384200682706368,
    3.214106032922305,
    3.48658012692728,
    3.4730207678257554,
    3.5538428318054014,
    3.3911979828536767,
    3.6189628701760856,
    3.4542159933930394,
    3.480721422712628,
    3.606028996234259,
    3.7780195982449865,
    3.6134233617372598,
    3.5933226462580805,
    2.9557806135549876,
    3.297713738075271,
    2.8538980172873103,
    3.0283167822361365,
    3.092033157108294,
    3.3361461124225174,
    2.8819292935674485,
    2.977191852852281,
    3.362534710342291,
    3.5935504919362575,
    2.9906122871156775,
    3.0790591579793753,
    3.4077151504210983,
    3.556506870628764,
    2.9278723444460995,
    2.939870520547758,
    3.2136880690162366,
    3.2748579626016365,
    3.5079622648977917,
    3.3766065021043072,
    3.478798085774475,
    3.4546293652494415,
    3.67967747765936,
    3.493535918295526,
    3.4679305452499722,
    3.4011845051310816,
    3.4515120912442168,
    3.19512048647346,
    3.6668221171873627,
    3.51486137031604,
    3.604806101430647,
    3.2865717938717998,
    3.1291165441081237,
    3.2297600193938694,
    3.0115714901197324,
    2.9357022799593535,
    3.2919558509500426,
    3.227973939794202,
    3.0431829970401485,
    2.8281063191310603,
    3.3447573492834355,
    3.3254496803030253,
    2.9137324216216616,
    2.7365881225231536,
    3.4063637864203473,
    3.246306425655082,
    2.8898582690044377,
    2.5861510249075153,
    2.914144028736609,
    3.1233627479335215,
    3.4101143706419834,
    3.4490289136007446,
    3.3159183292826873,
    3.413909804745931,
    3.670388295145917,
    3.628206142215755,
    3.315818734325478,
    3.419933072369279,
    3.5408580523511537,
    3.4701503871029633,
    3.6575732340606697,
    3.6464214162570583,
    3.73404465166905,
    3.5686019861667417,
    2.7843064769361194,
    2.999421154550306,
    2.9302923130920586,
    2.977565679616426,
    3.0223529587218243,
    3.108665708018239,
    2.999096386941409,
    2.936367513917289,
    3.165360456839915,
    3.2728584692722427,
    3.0456481100828663,
    2.9873825500067115,
    3.3223445132800338,
    3.311877632833842,
    3.0121654860737443,
    2.835972738120531,
    3.1999569557870595,
    3.1441521568059274,
    3.646265650636302,
    3.446772575667482,
    3.5729579966757914,
    3.409934549691452,
    3.8527423958471916,
    3.5720498661061235,
    3.3865136715893556,
    3.219109221226325,
    3.542957583519122,
    3.2182361351074142,
    3.6865328770041192,
    3.4058861783278895,
    3.7165620412260747,
    3.2960402751647324,
    2.9835709672250452,
    2.9630117083205274,
    3.1029591520287587,
    2.904817592872349,
    3.2359837473327673,
    3.030413837195209,
    3.1563837141896456,
    2.7886932208923074,
    3.166683551011671,
    3.0391577388941373,
    2.9984801535929186,
    2.701591292317376,
    3.326688543530418,
    3.0321036970797213,
    2.989185757538995,
    2.5126852368677666,
    3.2230395294344483,
    3.3946617707479736,
    3.4903993860663194,
    3.513327682581959,
    3.2694646111788543,
    3.380008818360728,
    3.4615982236437297,
    3.442466780966642,
    3.5829631948424643,
    3.649056512932044,
    3.5817925462817013,
    3.5013925115036684,
    3.5769115915945457,
    3.57581212224766,
    3.5012790037973573,
    3.3635026637603254,
    3.0067418017020655,
    3.2566353015289478,
    2.925435960966901,
    3.003192564405769,
    2.90456926208034,
    3.0019510316857736,
    2.7094826952130484,
    2.645449627780225,
    3.3232440762039666,
    3.469689134680044,
    2.9563633229650135,
    2.933476591002364,
    3.1265772162678207,
    3.132459277896295,
    2.645374942841216,
    2.4776763911045645,
    3.4751909379685646,
    3.3812050026772966,
    3.7186021838933727,
    3.4890461521831604,
    3.516475716107322,
    3.333701203709084,
    3.6564679501532735,
    3.3686009398016177,
    3.6298957636925735,
    3.424908073727119,
    3.5569088685326693,
    3.2090149583308456,
    3.606019204275002,
    3.303775454841884,
    3.4773157739134968,
    3.051958113776644,
    3.165182619314952,
    3.167968486757891,
    3.069241377206134,
    2.8771014864131286,
    3.093213384819077,
    2.8544731817945745,
    2.861433141885944,
    2.450450869937433,
    3.284367976640322,
    3.1912423302909128,
    2.8562150828983706,
    2.5779559848859654,
    3.1131697382597086,
    2.802380530787519,
    2.596109152621224,
    2.102354146489991,
    2.4331493061095637,
    2.821738095997752,
    3.0836956730558738,
    3.2347338701336854,
    2.6427986701837627,
    2.9517738220075747,
    3.2500358666886147,
    3.307272819578935,
    2.8176034451389755,
    3.0902114953329867,
    3.2592785937803246,
    3.3094924415071176,
    2.9976189222761955,
    3.1825848157288816,
    3.3442815274169684,
    3.2872935555685414,
    3.159793202370226,
    3.508754069198606,
    3.3735974626375524,
    3.550059953477273,
    3.141373695187456,
    3.429405124992485,
    3.3272243435298527,
    3.4295115554742104,
    3.5291678655535836,
    3.7586746261602464,
    3.5241168657264135,
    3.6050545955438826,
    3.487425327521528,
    3.6627828560067295,
    3.412834959195714,
    3.4187542926866348,
    2.756616082796926,
    2.876883067540305,
    3.354833670919084,
    3.2502954032904046,
    2.9571150697170756,
    3.0149577800088476,
    3.4729622564986102,
    3.3056664045077055,
    2.916522503663347,
    2.9156334601397313,
    3.310232957378126,
    3.104004264773925,
    3.077765949420135,
    3.0087613229546424,
    3.3768025612521804,
    3.093195751472047,
    3.433868936569338,
    3.5256606074933146,
    3.5902438840909587,
    3.5055358894746096,
    3.426591450566841,
    3.444318567917634,
    3.526178372957431,
    3.3635954363053657,
    3.539135939114755,
    3.5311322140513735,
    3.5081099136393368,
    3.333425264206249,
    3.498126773857976,
    3.4210434116846486,
    3.4061362588612027,
    3.150807616111785,
    2.6113090553656906,
    3.0064266253777943,
    3.093144385066052,
    3.2489601166756055,
    2.616340159360188,
    2.9361081213642786,
    3.018347783748489,
    3.103544549531974,
    2.9454802346005025,
    3.2117276482011805,
    3.245595026896515,
    3.302015785896596,
    2.9209663223379705,
    3.1084046215639414,
    3.09828080086308,
    3.0707237765781104,
    3.289621978436192,
    3.679899569558988,
    3.3496780775825314,
    3.5590462862080763,
    3.0436504428945117,
    3.359250056005008,
    3.052878294971002,
    3.1803253623520535,
    3.614665972709731,
    3.8789015313411195,
    3.4778282552560653,
    3.5896686267597007,
    3.3491974236994295,
    3.545977447473427,
    3.124204789611229,
    3.154887795245914,
    2.8824992888848526,
    3.022722322869379,
    3.3436893275067794,
    3.248166385696135,
    2.892912187556121,
    2.958881658545608,
    3.2401024829094967,
    3.083067811013535,
    3.017609836497618,
    3.0213086520580896,
    3.2714041448370006,
    3.079359010726374,
    2.9806805423297926,
    2.910129505667765,
    3.1188423193388184,
    2.8506324929367315,
    3.5140693430182517,
    3.661039438349982,
    3.5482378875441567,
    3.4976069585417515,
    3.294050901230124,
    3.327544479620998,
    3.2478079952009007,
    3.082363701742906,
    3.6079567561693224,
    3.6399791448158076,
    3.4436128016186407,
    3.301723873889155,
    3.3476741830451147,
    3.273374695796861,
    3.10355809405279,
    2.8445870704950282,
    2.7729290233116446,
    2.9937967852240215,
    3.350228263839827,
    3.4172623854163593,
    2.7630075823815563,
    2.918388122580618,
    3.297389883193693,
    3.2877978685271723,
    3.092016737181499,
    3.1965016941587034,
    3.4761056103976267,
    3.4222826762607013,
    3.033351070864396,
    3.0631805808208323,
    3.3303485916771107,
    3.1880145419426613,
    3.286323278435595,
    3.5375310313334287,
    3.528969593138601,
    3.616656592026912,
    3.062302033024803,
    3.269459330244869,
    3.2736964637755372,
    3.30695013554353,
    3.611039278384753,
    3.7415724669869768,
    3.6657576063602817,
    3.6536145949913053,
    3.3515392916610254,
    3.4401964762934636,
    3.333050582909841,
    3.2579769217313492,
    3.0777752065288246,
    3.042983910536176,
    3.6101624694216383,
    3.4272912944085414,
    3.0658666386068036,
    2.9736008624261254,
    3.5205810110186944,
    3.2841008661033455,
    3.1544383302352768,
    3.0154707965770884,
    3.509190414592336,
    3.2107879273857285,
    3.0799608387878044,
    2.8763302054629083,
    3.351868178113887,
    2.983675147585515,
    3.550701766720141,
    3.5432817381646804,
    3.737821952329016,
    3.5553127755479883,
    3.332943043234909,
    3.25876873300144,
    3.4652676412417094,
    3.218896564317132,
    3.6034976052083114,
    3.5044835025621897,
    3.633212199374743,
    3.3652312244869664,
    3.338540925521017,
    3.1687792927876197,
    3.308314614086017,
    2.9587662034123996,
    2.9148143936709072,
    3.1302334303415975,
    3.316731467158604,
    3.3794220187201507,
    2.7064273248285096,
    2.8619960842752836,
    3.0395877672306213,
    3.0451918962047566,
    3.1739057392888017,
    3.2648997803672932,
    3.4279326152815655,
    3.3673770165591055,
    2.9212265732785574,
    2.9451152004630465,
    3.066474859388367,
    2.933605389051958,
    3.3634696188295363,
    3.6694435754143715,
    3.446234186711478,
    3.5764215539107296,
    2.8967460397101603,
    3.139114606772933,
    2.9335687844419445,
    2.992803518590956,
    3.6301617891210176,
    3.8114754356558787,
    3.5568506504622253,
    3.580737988071993,
    3.138702352466419,
    3.2591901919623734,
    2.976512866762545,
    2.9207616411421737,
    3.1683951694157075,
    3.136176493512772,
    3.5544073441150807,
    3.36728892090722,
    2.971372660814149,
    2.8739103469329708,
    3.2560415421622997,
    3.016329207467929,
    3.2167672219290413,
    3.068635946655406,
    3.4399159930421668,
    3.138634856177748,
    2.9510366112695827,
    2.735412512558513,
    3.0744526689206317,
    2.7032460920229417,
    3.5738557674110774,
    3.6307583967861334,
    3.631329337553871,
    3.4816056580667514,
    3.134191814694113,
    3.0758119133066186,
    3.119620666112782,
    2.858275122069724,
    3.6087430703104086,
    3.5624519724041708,
    3.50738182133988,
    3.2689057373500656,
    3.118352551906672,
    2.9559430757208407,
    2.940548536045678,
    2.5707385763728205,
    3.138506367394988,
    3.4146227449279403,
    3.531790300045098,
    3.5785923012115517,
    3.341056486752631,
    3.5405508598336155,
    3.6853852860749825,
    3.666223496160654,
    3.3793407005871767,
    3.552693458674652,
    3.5375961818324217,
    3.4862060573852047,
    3.517049303182483,
    3.6080610209436115,
    3.5963216309782244,
    3.460712014347802,
    3.170608569494814,
    3.418408789065783,
    3.119378457550669,
    3.209946116108303,
    3.2399429650196256,
    3.4039453275265332,
    3.1036626365405082,
    3.1158456221826087,
    3.3369179808448046,
    3.477314810938463,
    3.068323077294474,
    3.0677326862127208,
    3.3414346053621298,
    3.399878654750279,
    2.94244398228319,
    2.845937957615348,
    3.3823108482901523,
    3.3411368300678537,
    3.698751199220706,
    3.4683066781591867,
    3.5432992644974526,
    3.442514996991764,
    3.7725965942020165,
    3.4990053504945458,
    3.384564450708119,
    3.2567977896382114,
    3.4819721111052786,
    3.1597458547197594,
    3.503564562665317,
    3.3034488689280472,
    3.515899274953683,
    3.1290176536121272,
    3.3039946855808093,
    3.2661131114814843,
    3.2000062256449215,
    3.010180277104398,
    3.378903330613438,
    3.2364830665027595,
    3.155298146032825,
    2.8587919094113037,
    3.240219795307155,
    3.124070229497048,
    2.941533700936737,
    2.6804830627386655,
    3.260024691331587,
    3.043836063890174,
    2.834910110833526,
    2.4522033749668095,
    3.295031390103599,
    3.5682658321684055,
    3.4861934883994423,
    3.542297778636097,
    3.2449025831535954,
    3.454153073678015,
    3.4147781776739707,
    3.420709597580236,
    3.4993734316334884,
    3.667425560007366,
    3.436419184556098,
    3.4006576009570137,
    3.406668519940572,
    3.5035375376371394,
    3.297810899416752,
    3.1941771143913895,
    3.2613384857546075,
    3.542436602951807,
    3.0299094971145517,
    3.1450362683642137,
    3.0769986706234054,
    3.2511887892879194,
    2.7790894199029665,
    2.7978871113587296,
    3.4034122730761966,
    3.5726425848498167,
    2.909956378134818,
    2.9384513936661563,
    3.1657514760299,
    3.227944293094015,
    2.5705312090357824,
    2.4856406015977415,
    3.491503395893618,
    3.4651880312716994,
    3.6338845787322636,
    3.4183518162620996,
    3.414539369333367,
    3.3145516090026836,
    3.5017171124087563,
    3.235159005413671,
    3.47831802675017,
    3.3576624069824774,
    3.354969772053421,
    3.0472753853855266,
    3.367520691907356,
    3.1616168553679866,
    3.1981780045092107,
    2.8213254079264933,
    3.3535806941104744,
    3.3630898812179657,
    3.082585675549302,
    2.925952642909047,
    3.1856989010885375,
    3.0416862083276577,
    2.825742485689032,
    2.5251584689062563,
    3.2767411127496304,
    3.199785325875329,
    2.7440713528572127,
    2.5149193424998577,
    3.054479638941851,
    2.8317974256222658,
    2.4349833039059927,
    2.058608387886781,
    3.39586856671003,
    3.516591656817738,
    3.729203601978539,
    3.6925017054396525,
    3.3795693206337702,
    3.4326375864245104,
    3.649723778105977,
    3.5565106384215683,
    3.5641463440412116,
    3.568067360554788,
    3.63623008620759,
    3.4842539477508554,
    3.467567825564815,
    3.393094389786233,
    3.434548662797827,
    3.2031624919552444,
    3.1842056864754054,
    3.3142953159062487,
    3.1636699933176224,
    3.1417573716892,
    3.040075635572311,
    3.0889254686035814,
    2.9221537371971134,
    2.816604054889324,
    3.3029375052451195,
    3.3252474690169085,
    3.0405182540878712,
    2.91392021771508,
    3.0770072164831426,
    3.01505328706477,
    2.6580300184537218,
    2.4225826988208006,
    3.6004659258817266,
    3.4256285468556884,
    3.865901060826432,
    3.5645222759292654,
    3.550737394310655,
    3.3223505938554982,
    3.719910238351183,
    3.377918451597168,
    3.521764994001367,
    3.263899029755043,
    3.5488318695605834,
    3.1484975284664243,
    3.4100298805276847,
    3.079439411761735,
    3.3367221820031214,
    2.8678095644565835,
    3.2976704374021963,
    3.150269736637801,
    3.2252027781260186,
    2.9229701431850335,
    3.162962572719341,
    2.898690553791506,
    2.96149879882511,
    2.53505877776073,
    3.1836133803938123,
    2.9686933650444205,
    2.890656967604783,
    2.5211444820872884,
    2.981198352893684,
    2.646115409930985,
    2.541504497608356,
    2.0180741180379784,
    3.5134181690817723,
    3.6246688420705473,
    3.6448956355410873,
    3.6063818217519517,
    3.250947762258191,
    3.3090650306186165,
    3.349253804082715,
    3.269753552158365,
    3.638342242677257,
    3.6335689493848022,
    3.506017374287259,
    3.3588261556314967,
    3.32167492648247,
    3.248595462090945,
    3.1134712891995266,
    2.9006810717188363,
    3.227353787418852,
    3.405535829559345,
    3.022037557399389,
    3.03130749059338,
    2.8033836932600527,
    2.8367545913848073,
    2.5245556346070517,
    2.3872137803907254,
    3.3085964691861323,
    3.3785095134676406,
    2.829338568216243,
    2.7386311571277013,
    2.816799103540298,
    2.740459239649028,
    2.213467343812265,
    1.9585505702066843,
    3.6734951898640187,
    3.4964038950584326,
    3.7586511906081443,
    3.456202321022979,
    3.3940362995390485,
    3.15118754769059,
    3.4168070985477312,
    3.06750559076893,
    3.5783817423878204,
    3.3132116823758953,
    3.3942522997784748,
    2.993180734087403,
    3.246496983966123,
    2.8984232973211825,
    2.9980921981998243,
    2.524660449712345,
    3.2920361062751837,
    3.198955592004041,
    3.046936866654233,
    2.7733509753514394,
    2.894789561896497,
    2.594957604291584,
    2.556166717377284,
    2.0793372442383813,
    3.156597004040237,
    2.994173008319642,
    2.6342432271906384,
    2.297313543798672,
    2.6946938465597015,
    2.330470489466693,
    2.0689403685812975,
    1.5155844131220215,
    2.1996393480849337,
    2.539790549810907,
    2.862611459138298,
    2.9925192001480667,
    2.609972056830533,
    2.8315896352087346,
    3.224201013429292,
    3.228648976417382,
    2.7379039937441516,
    2.9605380553840024,
    3.159683392440087,
    3.1897817245150897,
    3.081216353492108,
    3.1919320582942357,
    3.447322522430481,
    3.355770610953285,
    2.91669728134886,
    3.2015086284503793,
    3.177586725434031,
    3.2940406374414906,
    2.991285258380099,
    3.2253590398778753,
    3.215816043622446,
    3.277295185272651,
    3.452435423114851,
    3.601945226196256,
    3.4496812434583224,
    3.4650753879741965,
    3.462916649219408,
    3.583775366580523,
    3.42639161100857,
    3.4002218336504386,
    2.580940838569384,
    2.6633225205363735,
    3.191949502116965,
    3.076652575761744,
    2.9978616448886743,
    2.963003896313256,
    3.53411833693486,
    3.3020197668790328,
    2.925448024071245,
    2.8483251605695736,
    3.292949285517013,
    3.0328988110395034,
    3.253047228699529,
    3.069706888451094,
    3.565449862268007,
    3.193202676857797,
    3.2366832309421114,
    3.286327409281819,
    3.4440873951026427,
    3.322087642814618,
    3.3281627360250443,
    3.3011573460797363,
    3.4848377051255577,
    3.2859514070567055,
    3.5552276253030586,
    3.452068010077527,
    3.517623094075308,
    3.259028470036691,
    3.557906105364996,
    3.3991275146201723,
    3.500120798814635,
    3.174408145701336,
    2.4611537140947792,
    2.775871594981136,
    2.906982115461557,
    3.0393814053405017,
    2.579404567861297,
    2.797549310413819,
    2.9491489356616616,
    2.9869639434544637,
    2.9532605470738083,
    3.145929018779173,
    3.197133066289999,
    3.232076949432729,
    2.987994235110129,
    3.100648447256127,
    3.160026349169641,
    3.107575485271999,
    3.0787182261041908,
    3.3709046725079284,
    3.1383432742336796,
    3.2799798785060474,
    2.9357574927076784,
    3.1705201791471236,
    2.9511002754581668,
    3.0296554997858465,
    3.562981041125237,
    3.7277928797083835,
    3.392210571945353,
    3.435933861526063,
    3.350119032321965,
    3.480598417040727,
    3.135328791609812,
    3.132163154434786,
    2.8174658511449264,
    2.8779705344368827,
    3.240777087314372,
    3.1197424194183174,
    2.9572004254345607,
    2.903479864378692,
    3.277633816862065,
    3.0537327826837677,
    3.137226660233603,
    3.030742174060121,
    3.3256529550982656,
    3.068175058595073,
    3.1592804873872327,
    2.95927323958985,
    3.2820579386195936,
    2.927839712438338,
    3.3712165371189924,
    3.428251712583708,
    3.40833219172266,
    3.2963838841977484,
    3.252798940417941,
    3.198858199532764,
    3.2255643733238104,
    3.007082777737371,
    3.663911115604093,
    3.568857251444149,
    3.4555378849895977,
    3.214839659016845,
    3.4415225527707074,
    3.2566463287679692,
    3.201108334024289,
    2.8627321166440476,
    2.4213054799424896,
    2.598659062473016,
    3.0163900398391252,
    3.0509002972809993,
    2.5975984796890765,
    2.683083602688252,
    3.1433398885702104,
    3.0824062220573913,
    2.8589069761570163,
    2.942936735322754,
    3.2354877805640463,
    3.176140027367861,
    2.9815068947327545,
    2.9721497396332826,
    3.3092053902067704,
    3.1514945257857603,
    2.975536541579598,
    3.1646845391989924,
    3.2371520623840864,
    3.2670154421687103,
    2.828983883884101,
    2.9853995474732553,
    3.0524124808442803,
    3.0386041008652978,
    3.4098942513058628,
    3.4850719516404407,
    3.4379960784309365,
    3.3842647156579635,
    3.2141012530683435,
    3.2706397569388095,
    3.2038491812971026,
    3.1102392369763088,
    2.7927663249829573,
    2.7094638400557107,
    3.339411851537978,
    3.12077396105682,
    2.982034284113906,
    2.803598331034225,
    3.4590994513146063,
    3.150628219357396,
    3.0287795120381853,
    2.817740924871954,
    3.356796558672633,
    3.005494425257992,
    3.1362683606273123,
    2.837866157036134,
    3.4222047769536834,
    2.9793494657717203,
    3.289861235592981,
    3.224780301215147,
    3.4954258090233385,
    3.256664820748621,
    3.1549263346556184,
    3.0298146668124577,
    3.3155269337031053,
    3.0124910528137754,
    3.4992955146853935,
    3.309118837181617,
    3.4916376589854226,
    3.1455645886924897,
    3.289930346160738,
    3.0530945333508157,
    3.262317304077153,
    2.8510425336199363,
    2.61458888263994,
    2.7605641889701875,
    3.0001892529086467,
    3.023815801322697,
    2.5287171242821076,
    2.604142739572927,
    2.8474582571020104,
    2.8027325406878085,
    2.9991746248393465,
    3.047141415116644,
    3.2163078948223545,
    3.1480673604073823,
    2.8547140379148486,
    2.8372892638980587,
    3.0069604036123794,
    2.8670585921757934,
    3.09959081211902,
    3.3103676087630953,
    3.1597755934009486,
    3.223351057217675,
    2.735107105351574,
    2.9057950263194274,
    2.7602915052253407,
    2.7716450784897924,
    3.4730024800327532,
    3.5764265239696473,
    3.3453363624783243,
    3.328336355812922,
    3.060778690490376,
    3.139121173225664,
    2.8862765251601887,
    2.8220104676875786,
    2.9645155883835876,
    2.850880407189048,
    3.3277241060629277,
    3.0896102533010783,
    2.9039830866579237,
    2.6945105758622203,
    3.177022112443591,
    2.85547167374641,
    3.1697047312502376,
    2.921770883930782,
    3.33642649159475,
    2.973592678593942,
    3.0135847610729862,
    2.683835584046264,
    3.1250079425283848,
    2.6760695451479966,
    3.3879036006221135,
    3.3391096722132527,
    3.4224005853398216,
    3.1897614803490724,
    3.041550716718263,
    2.8868431597175466,
    3.0262958126583683,
    2.688493296362366,
    3.5640812701867075,
    3.391636607559936,
    3.3977062978880372,
    3.0668268604128324,
    3.1356954322355017,
    2.8715916511133166,
    2.937939337912776,
    2.4997184956250535,
    2.9299185093589126,
    3.148747652107713,
    3.2956415203908733,
    3.256709432298368,
    3.324408777538282,
    3.43458496996697,
    3.5546870375297477,
    3.42823759260659,
    3.2994381242394377,
    3.393920402889752,
    3.425119149605666,
    3.2879232088775066,
    3.5793469988755544,
    3.5874635196904023,
    3.5954933421290134,
    3.3749685334527277,
    2.97311489491159,
    3.161213452070916,
    2.9415773162995684,
    2.9309166059731204,
    3.110910384093751,
    3.2264698589671594,
    2.918497191146323,
    2.850308187717472,
    3.318846394452941,
    3.381087931355088,
    3.044067361256024,
    2.9402034458340087,
    3.3354254660869183,
    3.3483353518498253,
    2.9009474304769887,
    2.7397368411875247,
    3.2397057121049073,
    3.1782791047265073,
    3.5252362365111485,
    3.2521354411621832,
    3.6110908724533832,
    3.453191937561959,
    3.7405228698744017,
    3.3878109471908235,
    3.3614846842884134,
    3.1689746083685284,
    3.415600026183173,
    3.022326149993466,
    3.621781443555955,
    3.346641140450584,
    3.576770766376418,
    3.1061971242658872,
    3.168514724036151,
    3.128442034992174,
    3.091861253093967,
    2.8588628150660185,
    3.318800485962364,
    3.1690412135219477,
    3.0603276354341267,
    2.7205027484762105,
    3.2904122096447845,
    3.117187108925592,
    2.9753116704790665,
    2.6370479034549015,
    3.312477598549142,
    3.0556239655848936,
    2.858641486416457,
    2.417221523420568,
    3.1687436192592515,
    3.3435021827752287,
    3.2710845420866486,
    3.249142741195142,
    3.232856325713189,
    3.322599157837196,
    3.2619988603575596,
    3.167166733234466,
    3.5028734434432334,
    3.565670754236166,
    3.3594191753829197,
    3.247673146438068,
    3.4649256462027256,
    3.463931190056841,
    3.2781890450053166,
    3.0985947935349367,
    3.0864703644432816,
    3.2658380439238783,
    2.827028302763046,
    2.8331760188747723,
    2.993503113738661,
    3.080130767486132,
    2.6212541706037227,
    2.550181998999899,
    3.4008518811299053,
    3.4663638433112154,
    2.8586944429651937,
    2.7822433177997317,
    3.1846626410378054,
    3.18171021065492,
    2.546695138236424,
    2.3982605272385515,
    3.4477927177753562,
    3.350710932620321,
    3.5108576945581467,
    3.2398718377537747,
    3.5016350992354983,
    3.306002591814364,
    3.4602753165132474,
    3.1123226732252,
    3.5528493461581343,
    3.330308721525987,
    3.344654269013308,
    2.9577700820726207,
    3.4890946707555845,
    3.1851173649125135,
    3.2465917092665477,
    2.7883194762661447,
    3.249809134070169,
    3.1941700194546674,
    2.969346741046309,
    2.733312782553139,
    3.1738534846130637,
    2.9664476974283023,
    2.758153218025879,
    2.3872197322136253,
    3.349630920643585,
    3.172124420945665,
    2.763224337660491,
    2.433587230152483,
    3.136830300290399,
    2.836953232917324,
    2.4776212604006305,
    2.027749702823694,
    3.0554680152824183,
    3.1118995712818283,
    3.3787024660936322,
    3.242909177513269,
    3.232177233600135,
    3.2123261632613183,
    3.4021104579100987,
    3.2092275785207898,
    3.3281710779179026,
    3.284605125237367,
    3.3948875632494953,
    3.1676635422982686,
    3.4133060740615186,
    3.296878956776746,
    3.3435050541304703,
    3.05013465050206,
    2.8806749267961527,
    2.919235217856632,
    2.86467557908483,
    2.7192162174405086,
    2.83794500034622,
    2.823230370235281,
    2.6409310839890936,
    2.4423726655418365,
    3.131196276096542,
    3.0676992145219355,
    2.851709715900623,
    2.607928007308279,
    2.9857592378551043,
    2.8818992414653453,
    2.5147639882353996,
    2.1997803088694297,
    3.33677740743699,
    3.127857380114341,
    3.5877422760783944,
    3.222665206171822,
    3.5020368388024217,
    3.2221554756613635,
    3.5845845809263146,
    3.1621462076791707,
    3.3620566019954587,
    3.052062769018162,
    3.362045039114762,
    2.890869820881192,
    3.4306911668856443,
    3.048548847689828,
    3.314669084713267,
    2.775623332912602,
    3.0642073262390968,
    2.8699205463913104,
    3.003680770100531,
    2.61684920706115,
    3.0398553344531987,
    2.746660892791106,
    2.7798331788164976,
    2.28097778506348,
    3.0836093584494075,
    2.7950119610337936,
    2.7625184538959826,
    2.2903205614407165,
    2.952798640373498,
    2.578766064555824,
    2.465947679760875,
    1.8587368553896155,
    3.2200182953531584,
    3.230237619233084,
    3.286381611744312,
    3.1498039917529312,
    3.10267601689152,
    3.059117421144563,
    3.0849891306725774,
    2.903155764880969,
    3.4568321046702604,
    3.375202179329973,
    3.27398044855222,
    3.0560345388559105,
    3.26245231067156,
    3.128927960782284,
    3.0082776178007924,
    2.7360048389386913,
    2.9577043527361457,
    2.9968573966143612,
    2.707186026771776,
    2.5774580668310403,
    2.6746879793818694,
    2.615387256416237,
    2.3032821770001233,
    2.0757546826388706,
    3.15975446063567,
    3.110598690170641,
    2.6289595792652705,
    2.4149476143480126,
    2.7709369664150314,
    2.6352201027516906,
    2.1119169111001517,
    1.78588530760377,
    3.4727850484880713,
    3.222148489676509,
    3.5033952325833058,
    3.1226826876303466,
    3.357142138018773,
    3.0269330181154603,
    3.275532130809806,
    2.8349968436535273,
    3.48117873056029,
    3.133341089709552,
    3.2345745997456756,
    2.75540335055371,
    3.2688518296414215,
    2.8445620107398497,
    2.9671251591950716,
    2.420896070082937,
    3.1076287404556577,
    2.9058191453968325,
    2.836363250260873,
    2.441702127629433,
    2.8470903936387333,
    2.457428426835322,
    2.4339271883210065,
    1.8545416489822106,
    3.0863111215624826,
    2.8086524527807564,
    2.5084763105879464,
    2.05043221833426,
    2.7143596462976216,
    2.268402646279716,
    2.0350294341402466,
    1.3847991064158038,
    2.7150756250254,
    2.9829713240888065,
    3.264567730094246,
    3.3254044009151347,
    2.731412804340027,
    2.9013557309719333,
    3.248265541563806,
    3.1812035951093183,
    3.0321751818400138,
    3.169884390339549,
    3.3485564256880576,
    3.2973889155177827,
    3.0028032362229293,
    3.0376616510309393,
    3.2480188376622907,
    3.062583493155658,
    3.338092358030212,
    3.5694909954764675,
    3.468005197635132,
    3.525897202867509,
    3.0903997570938557,
    3.2657943239404856,
    3.2029304173337563,
    3.1889318086003486,
    3.652051727996706,
    3.7327737933478677,
    3.520958228850683,
    3.4620608034083546,
    3.368935045217853,
    3.406678771999111,
    3.1924128067412556,
    3.0668356429211694,
    3.0206732322282503,
    3.0102199928542808,
    3.5044093141214905,
    3.3023255475583166,
    3.0367740725058803,
    2.9464451929027136,
    3.4475031137997583,
    3.148037936402771,
    3.100095938918843,
    2.9538729115663678,
    3.3794379294555705,
    3.0543964759139355,
    3.058672839448575,
    2.8271696467244842,
    3.259839192348837,
    2.8296118318093835,
    3.583676657919857,
    3.5595977905565492,
    3.6377137759821263,
    3.445072058446291,
    3.3491831100943488,
    3.2581676809699625,
    3.362352729888647,
    3.0879336000479896,
    3.6217034975275544,
    3.465976409736161,
    3.470572466706569,
    3.1609310852035017,
    3.342834616162672,
    3.1275025769902642,
    3.1514265729359465,
    2.761360802056133,
    2.8315173749851086,
    3.093844358035316,
    3.157845013846372,
    3.2375370873383646,
    2.6304984063922667,
    2.775334061693291,
    2.878288104718607,
    2.825365872727293,
    3.074010356560747,
    3.1922176317252764,
    3.191736600693863,
    3.152682312635807,
    2.826967984859477,
    2.8262694113949314,
    2.8350598997862244,
    2.654593160306598,
    3.367742374349418,
    3.6173690173300894,
    3.302988626992052,
    3.393026573282299,
    2.9211967669069367,
    3.0810800129886466,
    2.8148755887434715,
    2.8007046881516637,
    3.620809689899513,
    3.715543375174981,
    3.3226736866913535,
    3.292558040423755,
    3.1432007510382496,
    3.157157608991517,
    2.7713562067990543,
    2.6385117377360805,
    3.1035018758787505,
    3.1009668675833804,
    3.40057574621807,
    3.219110222879046,
    2.8980241362226913,
    2.782250738043331,
    3.077011852032424,
    2.774640229800745,
    3.1331832933258648,
    2.9789872894003677,
    3.2157003961451256,
    2.912336652848608,
    2.8580928161044206,
    2.595777482054093,
    2.8340749827783016,
    2.4042286770840375,
    3.5825501604557948,
    3.588259647852483,
    3.4801754854960474,
    3.3169465962564217,
    3.149101573630686,
    3.0289071599682904,
    2.9734721558798882,
    2.6710423010039603,
    3.588761825976,
    3.450138643082404,
    3.271442236609015,
    2.989736317600755,
    3.1051942730364783,
    2.8503892149234744,
    2.7173685357999884,
    2.2983196064817113,
    2.827434544885361,
    2.938586105733987,
    3.318405018439578,
    3.2906916091619625,
    2.6667519341643198,
    2.708170591949939,
    3.1176170681283493,
    2.9962283507193384,
    3.0691093920516757,
    3.0615320014998217,
    3.337783092536421,
    3.189805069467198,
    2.852780070549766,
    2.7678999676970593,
    3.055713973860872,
    2.8060891828245076,
    3.31184056507767,
    3.4437285278367895,
    3.46199376237154,
    3.430379117061711,
    2.8625858978437275,
    2.9678376850069412,
    2.984063427208617,
    2.9081571261622994,
    3.562453193920138,
    3.55680249036437,
    3.4762833502886883,
    3.33699018461341,
    3.070923178728796,
    3.0435223968411727,
    2.9306166423210382,
    2.7409364345883303,
    3.1124513675665133,
    2.9510373884859162,
    3.5423313605469957,
    3.251889421954126,
    2.965147999843434,
    2.7439236001825953,
    3.3204207529829852,
    2.9594357306193246,
    3.112763330043429,
    2.836167622631324,
    3.353574067676796,
    2.937604774303311,
    2.890741487037704,
    2.551039027471135,
    3.0642974908540763,
    2.568693094208313,
    3.5459110822033058,
    3.4112032942730646,
    3.6199890159703108,
    3.316080284624688,
    3.112414780122511,
    2.936644724988093,
    3.140416733963986,
    2.782204163160397,
    3.5200590629109842,
    3.27192335713553,
    3.4137056312796985,
    3.0106344497242485,
    3.029453208888709,
    2.741701042840835,
    2.878169731011628,
    2.4101558705117068,
    2.902092635180991,
    2.9882568761654325,
    3.177282632493931,
    3.1451287252890605,
    2.5402981120604142,
    2.54396863950077,
    2.7391355159404007,
    2.611358701647163,
    3.0689366451646105,
    3.0264221696730376,
    3.1617441941466513,
    3.0022875500831225,
    2.654825729476639,
    2.5229280327464876,
    2.6467223436866703,
    2.3766880817603884,
    3.293257780827802,
    3.443942425931186,
    3.250936440996715,
    3.2479497080807676,
    2.6444943511063403,
    2.732751624375068,
    2.5589885558735785,
    2.4762379967463275,
    3.4795338712062054,
    3.4904096288568063,
    3.2416618312577743,
    3.1258643952721,
    2.7992214452323134,
    2.748948334529082,
    2.4820647072176003,
    2.2761095230175776,
    3.153829620352895,
    2.9761195400817133,
    3.402140550086731,
    3.1064650414144386,
    2.8006272992873638,
    2.535156494834191,
    2.9355969433659705,
    2.5475117858245593,
    3.1075810074028287,
    2.8032067352357144,
    3.17267891310297,
    2.7521586959185305,
    2.670853130045012,
    2.283207647521329,
    2.640581678205734,
    2.1176311908024297,
    3.4926766326639473,
    3.381882467277636,
    3.411920738845386,
    3.1212084859663047,
    2.8634758145976003,
    2.6434598009008305,
    2.7116910057561032,
    2.2995347042283547,
    3.4367590367866083,
    3.203333042040444,
    3.1783450759208476,
    2.7871457763722756,
    2.7487631941365738,
    2.4086998475306816,
    2.4172811653686788,
    1.891768899627742,
    3.3473996768045122,
    3.4949296815565773,
    3.5712686403397047,
    3.4744873025491794,
    3.36546179129729,
    3.4199404686880515,
    3.513395822878116,
    3.3217855361844135,
    3.4931646121660678,
    3.5126593389367224,
    3.501157660038303,
    3.296841423723574,
    3.39425570177338,
    3.328722637628217,
    3.3267776387818566,
    3.021348229744957,
    3.2941440801184294,
    3.426855978856495,
    3.111044802116112,
    3.057044350340363,
    3.134745981569165,
    3.1921452531589694,
    2.8399898437288478,
    2.708175985857701,
    3.3794246906749503,
    3.382655289515852,
    2.97450552701976,
    2.8148578755813345,
    3.1159537468853857,
    3.0540376887779974,
    2.5803532054728815,
    2.331039047342828,
    3.5815748998454593,
    3.416395022706656,
    3.709735088913767,
    3.351479363805155,
    3.571236097685205,
    3.3346073468684274,
    3.5867374487175745,
    3.161091387442081,
    3.4621298022479934,
    3.195296307433343,
    3.4146017960149946,
    2.9528313705471647,
    3.357911847454873,
    3.017988623426932,
    3.224062922281459,
    2.6854909474569784,
    3.4058740932809206,
    3.270471680959466,
    3.151683125786612,
    2.8440421550134234,
    3.257241420968808,
    3.0269429897770275,
    2.8629470969192665,
    2.445585017380195,
    3.2443810762573406,
    3.007790639807736,
    2.8087920823455557,
    2.4123690828263546,
    3.0014653783357277,
    2.6795990444917357,
    2.4402691070943527,
    1.924502603889228,
    3.4341772207750108,
    3.566584337978405,
    3.398255138817992,
    3.3290776556439923,
    3.20064350679883,
    3.2247479504743857,
    3.1226621327998387,
    2.945022454873306,
    3.519065784808049,
    3.5222866810507836,
    3.256703888367012,
    3.083884482155621,
    3.2025463744628917,
    3.0995667626683776,
    2.892723855487483,
    2.600295504371581,
    3.2866357411295146,
    3.4285614028769906,
    2.8882880652545344,
    2.856030927092914,
    2.913569255934154,
    2.9303029937985814,
    2.431785166622551,
    2.279572847067743,
    3.3409895542391617,
    3.3492587440450663,
    2.681023265257466,
    2.549987079613492,
    2.8790045137625757,
    2.7651815614348676,
    2.1188939779189173,
    1.8507881399670514,
    3.6344079291929487,
    3.47099166397133,
    3.5376853728430313,
    3.206140816842122,
    3.368556866671062,
    3.0970978337605293,
    3.1894517455104925,
    2.7604816151472686,
    3.476312654782358,
    3.202777712999587,
    3.165303281330549,
    2.729687500806363,
    3.129578887772616,
    2.75068476502916,
    2.765843492168656,
    2.226496519308734,
    3.370129190182959,
    3.2527557117414165,
    2.921343291703191,
    2.6346662784032273,
    3.0038638053737996,
    2.7199539790608274,
    2.445721208717072,
    1.9951291453126319,
    3.188237499185983,
    2.959857904127278,
    2.4981386950280786,
    2.1249815986112814,
    2.7310051500060446,
    2.34922803321424,
    1.9498941684044806,
    1.4109005877258247,
    3.368718489235953,
    3.374938000159305,
    3.5524013556412974,
    3.377889291897694,
    3.2035573581767744,
    3.1462740081192955,
    3.291626783226876,
    3.0527760405065036,
    3.4434345198730174,
    3.3268281444361567,
    3.38197050992951,
    3.0951863472235113,
    3.155370030267202,
    2.972305176874466,
    2.993053120093844,
    2.6263852657080475,
    3.126520519358083,
    3.1220683226638846,
    2.9644348263190503,
    2.7877554217557536,
    2.774897561992856,
    2.728189786515797,
    2.482623992361563,
    2.247540374810646,
    3.145079529057594,
    3.0290630306460495,
    2.7406362026680764,
    2.4539350115276113,
    2.6851653104974247,
    2.52739219620979,
    2.1150887731913395,
    1.7380759439981563,
    3.5627830095140642,
    3.276715127100299,
    3.6568673134742133,
    3.233019465716003,
    3.385581169161866,
    3.049305680131329,
    3.356916563595294,
    2.883478068205779,
    3.3795135409829284,
    3.0018079219264115,
    3.268980293260671,
    2.7410220237288927,
    3.0951197131638475,
    2.6587019852602047,
    2.8843471286547775,
    2.289979149702754,
    3.2189351737868033,
    2.948779366842486,
    2.987112281014962,
    2.5450653908022076,
    2.8888391155475412,
    2.5458905793163225,
    2.501714642500752,
    1.9572842862132065,
    2.993506917235306,
    2.648278070194733,
    2.558042152371375,
    2.0402494456253515,
    2.5665573701908793,
    2.1484257318568063,
    1.9753156870773259,
    1.3187119891849455,
    3.4076135695860197,
    3.3834813415642566,
    3.3429367425240777,
    3.164924387683751,
    3.0107918509836047,
    2.916250324799816,
    2.8894759308213027,
    2.640520274777825,
    3.4249423959601244,
    3.2794973645565757,
    3.120003729571849,
    2.835377039248545,
    2.9379985475011,
    2.711009384974199,
    2.5572663583645276,
    2.1815250216748217,
    3.0731464852951866,
    3.071927110772288,
    2.6993822654404394,
    2.5228661912326995,
    2.4994110331127546,
    2.374326813932602,
    2.0310030872115172,
    1.7209140156046807,
    3.054574344862333,
    2.942287842272406,
    2.415724618609369,
    2.1387649791747303,
    2.3906717451691994,
    2.1500221071864027,
    1.6148220602142906,
    1.1769189142768488,
    3.5665625872048143,
    3.2611577044834466,
    3.4435414937721323,
    3.014098578514358,
    3.158577415931329,
    2.7701493260226107,
    2.944346406367801,
    2.441074704705753,
    3.351493470044252,
    2.9499840154100654,
    2.998813450832264,
    2.4678323620878477,
    2.848151721334151,
    2.358837503569069,
    2.424127222189592,
    1.8058612509927057,
    3.1291814379887892,
    2.8672607802534205,
    2.70609353819624,
    2.2577243020534548,
    2.5796618216515657,
    2.1296940801904407,
    2.037404895625468,
    1.3917227066049616,
    2.879824002507048,
    2.5422349464011615,
    2.206749824569081,
    1.6943673178662189,
    2.2402131266205627,
    1.7192758060834823,
    1.4444793242064022,
    0.7131610152946911,
    1.432537325695516,
    2.0009711930236316,
    2.352917023861824,
    2.6980998298205408,
    2.0522283637028496,
    2.482103024836875,
    2.891311390525083,
    3.1142956605894923,
    2.0441597558975695,
    2.496437250359189,
    2.750920204661695,
    2.997997457204942,
    2.599819913040024,
    2.9240758193726393,
    3.200354390251623,
    3.3196240685071374,
    2.4267119551733622,
    2.893622292152628,
    2.940647744592321,
    3.2531352164323684,
    2.8609270237691344,
    3.243783677221203,
    3.32160376046973,
    3.5533851105334326,
    2.9950339413153126,
    3.342412845819138,
    3.3052822452291784,
    3.520220592598097,
    3.361534941312656,
    3.6421072532191374,
    3.595235360660558,
    3.735852091260616,
    1.8691623678647398,
    2.170462783453493,
    2.758413526437229,
    2.8431714395592333,
    2.475489516082976,
    2.6696992312670904,
    3.268822786740018,
    3.2685008803591025,
    2.3239049401819205,
    2.462369276896033,
    2.948385795338072,
    2.89132103376629,
    2.835816717584594,
    2.8803265941649565,
    3.370009038594255,
    3.225431369393889,
    2.783518205417678,
    3.0143488520719437,
    3.2689179925863505,
    3.3226225018529965,
    3.206937416882851,
    3.3438852718854166,
    3.6278034886500334,
    3.6032579994977327,
    3.175678223242897,
    3.267913133272299,
    3.4264092443374525,
    3.3473055637368945,
    3.4997643257834343,
    3.5164202491407366,
    3.6986836803531027,
    3.54721510282862,
    1.9355230343870629,
    2.4483839650637806,
    2.696785758679056,
    2.9686853297821134,
    2.3488560842250923,
    2.7688178453567183,
    2.9687545809166833,
    3.179916893768972,
    2.5214760114985753,
    2.9036765502230493,
    3.0806724847264793,
    3.2576999525443573,
    2.8527691852424466,
    3.162048735750365,
    3.25374709865874,
    3.366868324478209,
    2.866563756576107,
    3.342096261277928,
    3.2028290703241638,
    3.4995429686673996,
    3.075739298718511,
    3.4902498260298103,
    3.3177920558126113,
    3.557587020493425,
    3.39441514490231,
    3.7422214553176167,
    3.5351173588267892,
    3.731832598693087,
    3.514499633921698,
    3.8245618076944607,
    3.540929204674686,
    3.693358515461485,
    2.3129694097630606,
    2.576716650200874,
    3.0495487247303092,
    3.0769429647022575,
    2.742397132589921,
    2.9333023041466655,
    3.3285593731618817,
    3.3140940189231882,
    2.7487057786315745,
    2.844811641758877,
    3.21193992336464,
    3.1090970226467576,
    3.0602947464344092,
    3.100877974921335,
    3.386357156019339,
    3.234160799476734,
    3.1708660019007615,
    3.4258783960620702,
    3.4829066284714663,
    3.532163431123686,
    3.401402942850944,
    3.5712469266186924,
    3.611153885617192,
    3.5879653301288554,
    3.5332959400466533,
    3.6456763118447255,
    3.5988998606030753,
    3.519567596864568,
    3.6378891030626868,
    3.6856075647527398,
    3.612268063221709,
    3.4635080585520983,
    1.9635600084445928,
    2.3078396552977862,
    2.8190732001091874,
    3.00982498367575,
    2.3934067618892314,
    2.601667678110851,
    3.183282031101025,
    3.2494435360630844,
    2.4844161068564956,
    2.7285350885728734,
    3.176583120703182,
    3.251905252154935,
    2.8678920896498967,
    2.9690456747586182,
    3.462838530922584,
    3.3956826406300733,
    2.7248862794576763,
    3.0931110781213915,
    3.2294160021519493,
    3.4343428079614027,
    2.9729348428708,
    3.249747320397818,
    3.432193080811719,
    3.54501225742208,
    3.2074244895892736,
    3.463957659401898,
    3.5531535095208775,
    3.650263435982084,
    3.4117753855702704,
    3.5851046731616987,
    3.6876662051648585,
    3.6885473415506604,
    2.372943369535186,
    2.466338379169608,
    3.206161535185718,
    3.144063669153307,
    2.7879417678701177,
    2.766393810916756,
    3.5428556285458503,
    3.3852381756576913,
    2.7190221043875136,
    2.6804813832395515,
    3.343490610054143,
    3.1307732054014803,
    3.0487176900491093,
    2.89651252613792,
    3.5964376701452214,
    3.2737161280050615,
    3.076477813981602,
    3.205151478555816,
    3.5526552877337085,
    3.4880209620898763,
    3.302293422946417,
    3.3192579791762657,
    3.726210497392347,
    3.5651663548390546,
    3.3697732012453017,
    3.376209968194476,
    3.6540295967040732,
    3.4588906724936113,
    3.5172871627686613,
    3.417136867166731,
    3.7616453696548104,
    3.459740253640865,
    2.4031299703552804,
    2.727886706190831,
    3.086696858877227,
    3.2351606102282524,
    2.6198477113747947,
    2.8517071792800452,
    3.1846791472024156,
    3.26453200015888,
    2.8822335923472924,
    3.0968964167597566,
    3.4236349838405786,
    3.4620010559913545,
    3.0331855157322467,
    3.1552183410380845,
    3.435425533511392,
    3.3896478305343223,
    3.1475064810090734,
    3.5771323635880483,
    3.460238369508681,
    3.6947501419849944,
    3.1444071422668864,
    3.50620156077084,
    3.37361033428817,
    3.5388405151991797,
    3.5740519668602637,
    3.8861435187468407,
    3.74209808036864,
    3.8705759660286967,
    3.497742360115578,
    3.7554696897463034,
    3.5656603258057924,
    3.6256770786526102,
    2.7661957323634976,
    2.8472174846142746,
    3.427493479086861,
    3.33056873241805,
    2.9993044117553467,
    3.0010144299986043,
    3.535113395352917,
    3.3835227062011417,
    3.0836247942891144,
    3.027973977049732,
    3.539474055352376,
    3.3015748622260435,
    3.208367279638699,
    3.0757544604015505,
    3.550542664737356,
    3.2394904048246014,
    3.450638378141195,
    3.6535853538732086,
    3.7371055004345237,
    3.705708754076747,
    3.4582377528773014,
    3.556200027441232,
    3.6573263114195,
    3.533210382650951,
    3.7038119209878,
    3.7807846328741643,
    3.7942829661702886,
    3.6373564250300934,
    3.5959861169866487,
    3.574966662222665,
    3.6154349067319553,
    3.352838768294453,
    2.148042554409865,
    2.5888261213559582,
    2.702600651004407,
    2.939068595356257,
    2.773939381325025,
    3.0895033112353874,
    3.231114382585867,
    3.370108819073959,
    2.5654756208550835,
    2.9012736895167173,
    2.9128623658426926,
    3.0463854445383767,
    3.1297543840205546,
    3.3500609611387304,
    3.3849537379588663,
    3.413384992240456,
    2.461613306765307,
    2.8477390994815397,
    2.6228658853350444,
    2.8706529884635126,
    2.871907544179254,
    3.1395394681394153,
    2.902642883642911,
    3.0591883810723113,
    2.839292455468726,
    3.109691014273776,
    2.8121408041453515,
    2.9587036254509034,
    3.175336092689772,
    3.345320232154951,
    3.001513971052896,
    3.0556763695527565,
    2.4814124080347293,
    2.622501250833386,
    2.9920990991940792,
    2.95985802634787,
    3.0810125104050528,
    3.1274626974853383,
    3.4843249387487436,
    3.3886981138755456,
    2.6931377480146272,
    2.706039162927694,
    2.9543721639761507,
    2.7901535212381985,
    3.227090675072007,
    3.154178459295633,
    3.417569620463224,
    3.183829991365061,
    2.6705404876938745,
    2.8152900416143316,
    2.812348594053414,
    2.8149955232872204,
    3.0901400975889155,
    3.089829494288675,
    3.0882215859197837,
    2.974670492440932,
    2.863167412527815,
    2.873908986982669,
    2.781928292813088,
    2.662565136424341,
    3.1959992131753685,
    3.087888099049484,
    2.995135030839198,
    2.7678458472330467,
    2.645532811678813,
    3.0131320169820324,
    3.0190272307958708,
    3.18754384335332,
    2.9968216325223294,
    3.2960531872887007,
    3.299001692408498,
    3.4232571419594686,
    3.031234311224896,
    3.2954242213114595,
    3.1790646748060567,
    3.251912203323252,
    3.3252783073308807,
    3.5310659310202097,
    3.407316727695827,
    3.430386445450625,
    2.873602515447593,
    3.270932815939944,
    2.8441265347985345,
    3.0814454939559788,
    3.007911312105943,
    3.3015857126787234,
    2.8705645013152443,
    3.0275512076613116,
    3.2066552071170844,
    3.4845443836240935,
    2.9470639010539657,
    3.083476781607353,
    3.2538268710755025,
    3.451523956769527,
    2.885031194263632,
    2.951966126259241,
    2.923501642720179,
    3.021285529735545,
    3.269651810492347,
    3.1875969056671973,
    3.2852731126931825,
    3.323206347272275,
    3.54365323992951,
    3.4337342212050794,
    3.1039714881388205,
    3.0827215758445394,
    3.159109844467343,
    2.951518266652677,
    3.403296583761854,
    3.3285111529335825,
    3.4037902156452415,
    3.1591730032923016,
    3.046373031695992,
    3.2076901491794354,
    2.9942729824970966,
    2.9907999975691997,
    3.212626772135535,
    3.228379452197806,
    3.041084062337134,
    2.922709152252432,
    3.1943633980252395,
    3.22903095484914,
    2.8614725018731333,
    2.7389548557092964,
    3.262353394760711,
    3.1817178668147363,
    2.8426928844599404,
    2.6244458622807896,
    2.5353917299612094,
    2.785832203546091,
    3.0710765595650154,
    3.1703411335803473,
    2.9541206006789595,
    3.070811572430659,
    3.3866255578063447,
    3.3772104736336703,
    2.8843743297701594,
    3.033298077317828,
    3.213199150160845,
    3.1952767542157083,
    3.2650566011336197,
    3.274104522195387,
    3.482975037754515,
    3.3386000632153,
    2.6420829078125916,
    2.927018058672657,
    2.825633833585536,
    2.9585830291492865,
    2.8582268614123,
    2.993985567591069,
    2.900836204690976,
    2.9078731927138293,
    2.9601440278816025,
    3.136223470003829,
    2.957231065832458,
    2.969132669180172,
    3.1130122221836944,
    3.1522835322476483,
    2.951201822085795,
    2.832162303296913,
    2.8242049920828878,
    2.807040150720849,
    3.328815328864653,
    3.1785570158123777,
    3.223180459384366,
    3.097168585188452,
    3.61645457083147,
    3.3853514067223167,
    2.961192267381235,
    2.8304610073494243,
    3.2158785361982143,
    2.9294512777447888,
    3.3066938874052845,
    3.062659656647855,
    3.481085002277461,
    3.096751841797383,
    2.839978750247896,
    2.888934028709922,
    3.0056603515406883,
    2.890818961814211,
    3.0668137394568245,
    2.9260478299886383,
    3.079236060419505,
    2.800324701828381,
    2.9684490664801784,
    2.8980629138653935,
    2.9093209223675607,
    2.669270442648153,
    3.1170642364803207,
    2.875493146894363,
    2.929569435918997,
    2.526221504879448,
    2.9649694489112823,
    3.1864782506657785,
    3.31381366972886,
    3.3744952165100974,
    3.1013308060825526,
    3.2432463534521245,
    3.375902255222173,
    3.379588560093639,
    3.272407242974708,
    3.390875605411127,
    3.3945444715032993,
    3.346627984232577,
    3.3707655275668675,
    3.404406473307679,
    3.4180944827559694,
    3.297342486376307,
    3.036420324643868,
    3.3924928823874554,
    3.017538972211535,
    3.1875007889469833,
    2.9474074573421936,
    3.155527605103078,
    2.810303407742641,
    2.8545712218283716,
    3.29856114076264,
    3.5391003221622723,
    3.0473944746559813,
    3.0988678158697205,
    3.118249800444705,
    3.230912632485654,
    2.757810927934491,
    2.691223835875535,
    3.2108277510705463,
    3.179856965051281,
    3.535560588339485,
    3.3571723471256547,
    3.3630864412312533,
    3.2580219174628056,
    3.600635256483796,
    3.378113057060512,
    3.313189856792091,
    3.172170951016768,
    3.3440255655261617,
    3.0348029217386525,
    3.412429277256675,
    3.1917903886819374,
    3.3924171332857345,
    3.020021365298671,
    3.2019451023964827,
    3.325358521083567,
    3.160044917298289,
    3.0821929205477687,
    3.142243597428034,
    3.055758870452726,
    2.972806300533298,
    2.7164831956340247,
    3.2794209648704014,
    3.2860684706153482,
    2.9489309765049008,
    2.7502743136498458,
    3.1154174798047687,
    2.9396104095013804,
    2.7051532410387717,
    2.342555474440756,
    2.067514337517256,
    2.531614298360603,
    2.852517000833646,
    3.1000465625582594,
    2.3378138564155364,
    2.691200483352012,
    3.065141544008667,
    3.202974994075448,
    2.432982011711961,
    2.791475651220643,
    2.996891100782564,
    3.1549562006939893,
    2.673427500260254,
    2.9204767999044234,
    3.121441409212114,
    3.1590825962672286,
    2.984814382043006,
    3.364044401416356,
    3.3413249711708017,
    3.567717859803852,
    3.0950817407041114,
    3.407150171097106,
    3.4246207067223526,
    3.572713885130278,
    3.283071125789026,
    3.554392680720629,
    3.4279444804181054,
    3.5633027985205032,
    3.3730074546183246,
    3.5844248651095425,
    3.438625959231487,
    3.4970633934745683,
    2.4431680270637948,
    2.6083066716582226,
    3.1944233490037504,
    3.1515368347745456,
    2.66259834738902,
    2.7648820916581913,
    3.3177841879497487,
    3.2238775942897506,
    2.601659194074225,
    2.642881880083516,
    3.107467592033621,
    2.9668379503492344,
    2.7721555719464512,
    2.7530864095649887,
    3.169326280064924,
    2.9667176633269676,
    3.283891909571978,
    3.394643716051001,
    3.605145330941448,
    3.5449434527012285,
    3.3535649394278435,
    3.404260497967705,
    3.615153314676198,
    3.495247429559652,
    3.3365331728191414,
    3.351871214158284,
    3.4435945052410277,
    3.2975557588832647,
    3.3733400022543645,
    3.3357439506492197,
    3.413026308910432,
    3.2056338595105114,
    2.3893645555675325,
    2.8250757155557578,
    3.0381859481193,
    3.2301075413957685,
    2.4909004011762423,
    2.8408719904853905,
    2.997192998441231,
    3.119864166761829,
    2.7187083543043236,
    3.0342981950398897,
    3.156157699042425,
    3.2596699386375425,
    2.778062474598006,
    3.012205612473564,
    3.027075286801413,
    3.0498062718482615,
    3.2725718964977926,
    3.678842241518104,
    3.49572619276159,
    3.7177641528523395,
    3.1607901748293497,
    3.503272413896596,
    3.2897256134181907,
    3.4365858715964994,
    3.5397447826598176,
    3.8300434387673157,
    3.5589004620373403,
    3.687732987409057,
    3.4027059443414744,
    3.6398734842589278,
    3.2810440827260168,
    3.3406027272464938,
    2.7017143435266817,
    2.8744438526173144,
    3.3259138219947024,
    3.2625022297169286,
    2.77423843992894,
    2.893589975201444,
    3.2285872055773703,
    3.121986867344256,
    2.8421011527066433,
    2.8819453354918023,
    3.2049374627230174,
    3.048296155570916,
    2.8508622117745444,
    2.8420163840509955,
    3.0412133983491785,
    2.8274764747036603,
    3.5229368271805575,
    3.6905126013111795,
    3.718316115906907,
    3.67984322381795,
    3.3972783517659497,
    3.492791919720954,
    3.4719184692229836,
    3.345900511062026,
    3.5704110908973017,
    3.632585353004767,
    3.5317503737352975,
    3.405073597674221,
    3.3992530047047853,
    3.3978465820708976,
    3.2348871748776213,
    3.0186689013628096,
    2.526702486538399,
    2.782109685084883,
    3.2490842197784766,
    3.3568961942350404,
    2.622315339428131,
    2.775120848059742,
    3.3036558958977986,
    3.3031638895941984,
    2.795339308439943,
    2.954053089415192,
    3.3376303415226865,
    3.3305895566335053,
    2.8553072386417573,
    2.8970736967694486,
    3.2938771711795463,
    3.159931072372269,
    3.2230926784396785,
    3.5087491478968307,
    3.5805881575006184,
    3.7027229177267422,
    3.1433509470084235,
    3.3638159311378217,
    3.484090098815626,
    3.5283027957268494,
    3.454930200604351,
    3.633046656164027,
    3.644735434513348,
    3.6622917244138797,
    3.3568804416919624,
    3.4673026678335965,
    3.4718418360721204,
    3.402052456820888,
    2.8637640720934323,
    2.8405874470055634,
    3.559910023963136,
    3.389956444385494,
    2.9125455537673517,
    2.825908632790696,
    3.5316285775308955,
    3.3052154436916883,
    2.911484737430282,
    2.790603450046601,
    3.410522281943889,
    3.126887877411374,
    2.8996343139222542,
    2.708933212668021,
    3.307654927316067,
    2.9483623220401585,
    3.509650946951821,
    3.526326918800751,
    3.8322840320631455,
    3.662200542339853,
    3.3793089084170758,
    3.3337124262793196,
    3.657764987874846,
    3.4274628904555104,
    3.489797466649451,
    3.4191016735309256,
    3.6396205152912398,
    3.3794976456791592,
    3.325106623979751,
    3.1864703539642085,
    3.4183475053657366,
    3.0795584539168788,
    2.8077939865280737,
    3.0543401347910235,
    3.3821823070550323,
    3.452368498431964,
    2.7304214807793876,
    2.893899987806175,
    3.1786961869795656,
    3.1770750108380548,
    3.032136321318914,
    3.174015882124302,
    3.449844025848006,
    3.408467281370431,
    2.907210580008746,
    2.9547439892965626,
    3.1579106321726798,
    3.0228376240840857,
    3.4864063856681047,
    3.8436106833654335,
    3.696721587278285,
    3.854472273079338,
    3.150533638492668,
    3.438141647540322,
    3.2746509572786753,
    3.352889154057678,
    3.6741773591464226,
    3.9197041654656335,
    3.731663291569145,
    3.7832124961352958,
    3.3149412757339816,
    3.4918715532279876,
    3.2417396829855996,
    3.206190179579207,
    3.0910992253547604,
    3.08413347270105,
    3.6430223153739156,
    3.46210974150828,
    2.9835100610065575,
    2.9232584947154905,
    3.3859219609432363,
    3.159028584848163,
    3.1207423772789573,
    3.0080747834908106,
    3.4750826222604796,
    3.1814989075196354,
    2.9348702770740194,
    2.7644383595658706,
    3.143449530459418,
    2.782413599848556,
    3.725076890944996,
    3.841758862816703,
    3.906314354579084,
    3.7920124983701053,
    3.3671956589277983,
    3.4002642044643268,
    3.441795281888444,
    3.236522732148293,
    3.693643917182764,
    3.7142445721969426,
    3.6907897680015207,
    3.4806144735259377,
    3.2839060016168613,
    3.2169155515613523,
    3.172223896499177,
    2.8503265120811934,
    2.719712001489587,
    3.054852217297583,
    3.117329891787717,
    3.2553264119933827,
    2.958166484793022,
    3.198386753680731,
    3.3286652633031757,
    3.3837096690067225,
    2.868841583553457,
    3.111916504677211,
    3.0808959920116976,
    3.1237690971576377,
    3.0571214102165514,
    3.2006499345849058,
    3.2156616731193592,
    3.1575917844029,
    2.9425603841604078,
    3.238769973069767,
    2.9176658439586776,
    3.087021501223805,
    3.008536343208087,
    3.206085110236227,
    2.9299787940522153,
    3.0067676893998376,
    2.9866000975917353,
    3.1817021058400177,
    2.812271864032051,
    2.88179191509082,
    3.014578093299491,
    3.11274208890804,
    2.7369943871599856,
    2.697844607384466,
    2.991489223954641,
    2.980206555480574,
    3.33083262615449,
    3.1567311178197732,
    3.166174757666769,
    3.0977014219355485,
    3.457180065379215,
    3.2463571768977655,
    2.907613626243024,
    2.820123070484703,
    3.054486858404654,
    2.793255699939041,
    3.05706610731563,
    2.903541322649664,
    3.152268759795552,
    2.8375087102984526,
    3.0802145780902044,
    3.082197642601705,
    3.0132253667504623,
    2.888283980797374,
    3.122411704455682,
    3.0186866529798806,
    2.986311900352148,
    2.7577300041645776,
    2.9084700182668524,
    2.8347665129942197,
    2.6951427737050997,
    2.4906256039755954,
    2.9235415171941197,
    2.749760576859692,
    2.6196850095920317,
    2.3065028253596678,
    3.021138990606371,
    3.3103177254902088,
    3.2616453205234883,
    3.346346798688205,
    3.0274110389812954,
    3.249610469053756,
    3.2407906647940474,
    3.2756287750634403,
    3.1423666817778155,
    3.3375202182647046,
    3.173142253437522,
    3.171298247728488,
    3.1110939211269626,
    3.2307286294267685,
    3.087247424075066,
    3.0163889744103844,
    3.2001325773238207,
    3.524242459880719,
    3.030489911396172,
    3.19860481578206,
    2.9960478915073177,
    3.2116425286521304,
    2.7762448431202364,
    2.84446096052074,
    3.231357131866062,
    3.4479074144410164,
    2.856412777122711,
    2.92987282673964,
    2.995713223501406,
    3.105431011818296,
    2.526658532001213,
    2.4911010416068553,
    3.236558026722991,
    3.225782000826438,
    3.434246172399509,
    3.2438165216461137,
    3.2109984262941165,
    3.141535422249323,
    3.3596326918212513,
    3.132518761089985,
    3.1353624386291834,
    3.047824722334462,
    3.0955300253588582,
    2.8194840187216306,
    3.0888756030759366,
    2.933698922191113,
    2.9952296702391563,
    2.6663235589256438,
    3.311032762062535,
    3.36346398390447,
    3.0961952612592403,
    2.992921515359874,
    3.102488939307431,
    3.0156318215750737,
    2.8269556703135192,
    2.5888491816755197,
    3.1346913907011995,
    3.1069266311732333,
    2.7030546422529813,
    2.519602270004608,
    2.8981344448316033,
    2.740053948733764,
    2.3878232772549723,
    2.076300638997686,
    3.0399024812357087,
    3.2077342218895617,
    3.414385096590043,
    3.4384580838248917,
    3.067895685809356,
    3.135781727015578,
    3.4063597414626576,
    3.3420191886694655,
    3.1168097964740955,
    3.1808898270302306,
    3.2974694988247775,
    3.2052666733116353,
    3.100624009252247,
    3.0528223178122946,
    3.1958704939112,
    2.9918601317705873,
    3.073287502433189,
    3.280753027521418,
    3.0766160896439683,
    3.142309858772843,
    2.9126276146439127,
    3.0069216970328694,
    2.850148559132244,
    2.806697308348874,
    3.073163235716586,
    3.178253847406331,
    2.9271274372446774,
    2.877145635147034,
    2.8698630868160966,
    2.859300566760292,
    2.5943468344079625,
    2.414142188055714,
    3.253743777807371,
    3.11090930860067,
    3.579541817941829,
    3.3162558541723315,
    3.2199133326642047,
    3.0147059613946388,
    3.4947100489090857,
    3.185378631559726,
    3.0957933244586346,
    2.8766039255580056,
    3.2236106655750234,
    2.859416629277505,
    3.03686002912331,
    2.7385017836088386,
    3.0932439680338852,
    2.6596109241249515,
    3.1909970387625055,
    3.1153704841714394,
    3.153213343006356,
    2.930478981386665,
    2.9999712011098816,
    2.7949012748823123,
    2.8848392633303384,
    2.533968607346676,
    2.977529896255645,
    2.827838430835568,
    2.789566107749572,
    2.480821133622474,
    2.75326062554607,
    2.473088062162579,
    2.4558057844044496,
    2.0040525182333147,
    3.2901387801698423,
    3.4433189163024123,
    3.5075001536188735,
    3.49519836735859,
    3.0691949773041514,
    3.152947506735822,
    3.2536542406176663,
    3.1884462875243145,
    3.3360188712020835,
    3.385183337302352,
    3.3349108486027594,
    3.217393712457728,
    3.086933316058598,
    3.048327019069983,
    3.009030869857501,
    2.8121847661981123,
    3.301794331042222,
    3.591298951573541,
    3.1536163014381327,
    3.260672877905685,
    2.8344092801230354,
    2.981490563336614,
    2.6218367453529874,
    2.5955567017459327,
    3.282405233189747,
    3.4612437011391295,
    2.923159408303201,
    2.918252319042667,
    2.777408683782753,
    2.8158369143836293,
    2.3077107487155057,
    2.1599266479134034,
    3.458782152283814,
    3.3335558119333877,
    3.6331472290447313,
    3.364172737225849,
    3.2037806131436426,
    3.0197107242967993,
    3.3319457975313878,
    3.0234859731821766,
    3.2885994262872584,
    3.0836535998350287,
    3.218144562003462,
    2.8474871868455356,
    3.012810753136306,
    2.732381759372384,
    2.8833949009150066,
    2.4508982609815773,
    3.394214816833686,
    3.4208799243859955,
    3.199914658709412,
    3.038091630869882,
    2.9150320458834997,
    2.7596860394962004,
    2.6520416972622227,
    2.3163998401694874,
    3.1751597011079777,
    3.1203868975933315,
    2.751792538931233,
    2.500786978414145,
    2.6583592393959607,
    2.42751333499017,
    2.1513468127817674,
    1.7263748665834207,
    1.989393592822169,
    2.4044049528424747,
    2.751542213267742,
    2.974165610011585,
    2.4143847411548665,
    2.6785396080378043,
    3.1107443447887917,
    3.1846972847146544,
    2.5136457069677336,
    2.8160051739008445,
    3.00366233680165,
    3.1344866468326176,
    2.8459432638288975,
    3.015144730233299,
    3.257347757757403,
    3.2413897522152664,
    2.8803831793606935,
    3.198203891144834,
    3.2369561845581165,
    3.4163907781692204,
    3.098243767914009,
    3.3383321496832417,
    3.4078056321104766,
    3.5029121732495874,
    3.3790565264691867,
    3.5696558774521767,
    3.4591405479007724,
    3.5357293846028504,
    3.5095486523719384,
    3.650754413095977,
    3.536411736949994,
    3.5458052645239624,
    2.4159284004326267,
    2.530309793722026,
    3.1444587017772045,
    3.0799378363099117,
    2.8334586786139013,
    2.827580135096438,
    3.4748202199519564,
    3.295211997145222,
    2.780311921547854,
    2.7272181131476203,
    3.207203462056447,
    2.9930822675594406,
    3.0692208633869287,
    2.914277156168297,
    3.428941562193202,
    3.1041207367103825,
    3.2236787411588423,
    3.2648188102085394,
    3.55287103432101,
    3.440613978542288,
    3.4258045706109783,
    3.3851177334010725,
    3.690479230552148,
    3.496272056981631,
    3.542343692988945,
    3.432435074096521,
    3.5781883862111066,
    3.3264320631310893,
    3.620081465352323,
    3.4505839528046387,
    3.6261628117898974,
    3.3017115291934385,
    2.4041641785365155,
    2.773319507266664,
    2.993888068935429,
    3.172100956989713,
    2.610510406006866,
    2.859700886655058,
    3.0672795673259503,
    3.1438852267116957,
    2.8999476770640555,
    3.148452052735691,
    3.232555700589013,
    3.322708466780524,
    2.988588091137334,
    3.145588734326071,
    3.187204608487919,
    3.179678328600832,
    3.1553883577460375,
    3.4811701077935258,
    3.3534355623990018,
    3.524257598307063,
    3.1688175282119464,
    3.4137656494552138,
    3.270606348697342,
    3.354941745269487,
    3.616502526758715,
    3.8198880532651316,
    3.5518079421406297,
    3.624822924041834,
    3.525652976895433,
    3.6824219202166923,
    3.35820479929773,
    3.36783008323711,
    2.7800133584176843,
    2.864495968835491,
    3.3432218898860904,
    3.2486630679754995,
    2.988257760676193,
    2.9637829597432144,
    3.40828702076863,
    3.2215550300758737,
    3.129573562001333,
    3.0458752736968817,
    3.3779436035697024,
    3.1444587870404046,
    3.174255322219494,
    3.0077160641585117,
    3.315231879618393,
    2.9909995489535803,
    3.4513767656851937,
    3.5199507004009196,
    3.6272065521409758,
    3.523692507823329,
    3.4595186906568856,
    3.408463642405124,
    3.528848507301852,
    3.3055910851200165,
    3.7523160346068924,
    3.674365494453167,
    3.61793451215102,
    3.383235418457537,
    3.6104865297783046,
    3.4403413604367112,
    3.405321099228405,
    3.0619301238685592,
    2.3049160599794583,
    2.5287231160124053,
    3.00071432341187,
    3.0912189925665414,
    2.5500338763635826,
    2.641090952471199,
    3.188030977323024,
    3.146513362623031,
    2.705785573323494,
    2.843201893080729,
    3.1714147021385504,
    3.168817811774524,
    2.883623469456393,
    2.8898353139659463,
    3.275102000189423,
    3.1315415070760575,
    3.0095712247764346,
    3.2415163557162967,
    3.3446037967804196,
    3.4248907308418213,
    3.0167722997769055,
    3.1782260883293025,
    3.3202958146678894,
    3.3156962922157125,
    3.385842884508086,
    3.5052486973013464,
    3.4735388848550235,
    3.4518881078521892,
    3.3367667366249805,
    3.4023332682057976,
    3.3783263676777517,
    3.2783067432241255,
    2.7077498329384446,
    2.632436866854189,
    3.3765431788933555,
    3.1733915156305263,
    2.9433665392864405,
    2.7596775901510693,
    3.535592351821424,
    3.230232471074065,
    2.9320731490955976,
    2.7261076029449587,
    3.3396394017674664,
    2.9987147421950784,
    3.056406012462441,
    2.7548251264695534,
    3.408782363676554,
    2.960187537284324,
    3.3436922630502774,
    3.28603740477857,
    3.6478308541113043,
    3.410548923844134,
    3.3289267329365155,
    3.192378854708581,
    3.58893589938379,
    3.269214106495393,
    3.5290240858485893,
    3.3431696374743867,
    3.5707072275645166,
    3.212434075950016,
    3.4193861677747446,
    3.1688790100277977,
    3.4412808661544827,
    3.000143812086028,
    2.627897721106513,
    2.8341829510107948,
    3.1490603862065045,
    3.2149776518711177,
    2.6607260388737544,
    2.760001661869123,
    3.059785193582435,
    3.036536034402407,
    2.9875424644343838,
    3.1031770110335257,
    3.3012888461731107,
    3.2822818825977587,
    2.933844490505913,
    2.952279753799009,
    3.123439784043402,
    3.0070294622081715,
    3.255403223202576,
    3.5459137961618667,
    3.4208612731405106,
    3.5417181839152763,
    3.0520853247210646,
    3.2658605801750893,
    3.1360708826181494,
    3.1689891038077658,
    3.5870267290582705,
    3.7689337087883885,
    3.526364238662598,
    3.5534173451379827,
    3.3061810818650086,
    3.433810464618193,
    3.1578199366747572,
    3.1075449136572484,
    2.989098333411931,
    2.9059295190566754,
    3.48214369917837,
    3.266961395814384,
    3.0259653278037018,
    2.8376007171823674,
    3.391810156117593,
    3.0868928250607754,
    3.193356313700093,
    2.9785485455558534,
    3.4231354816218595,
    3.080290854922473,
    3.0931533590077103,
    2.7906455343642,
    3.2330236211784964,
    2.794006030884449,
    3.544268577747829,
    3.562178480006119,
    3.6823413058539156,
    3.4961334702515363,
    3.329585555148122,
    3.219134299155819,
    3.3813141058575944,
    3.0642259444992903,
    3.7108892087783465,
    3.6013433700041917,
    3.5787172216539345,
    3.278263010370301,
    3.3715527328714403,
    3.153860550474409,
    3.18641573810902,
    2.7583739521023394,
    2.5780318878892725,
    2.8573219740911324,
    2.982399732839056,
    3.047169230495232,
    3.016262649337829,
    3.164035791117693,
    3.310495867292622,
    3.2594956081943254,
    2.879690644620373,
    3.0533071660986284,
    3.0704055093263523,
    3.0430709264520353,
    3.2227842482013207,
    3.282564823275013,
    3.314822507495613,
    3.168891247326882,
    2.8290712704902106,
    3.047018832463481,
    2.8481394944274587,
    2.912647363945637,
    3.013875279372087,
    3.1389021696416863,
    2.900234839108516,
    2.879954448112519,
    3.109780224466502,
    3.213278508848883,
    2.9216210138423526,
    2.8875235208029157,
    3.1889386196512257,
    3.2218968069839216,
    2.86257461236801,
    2.7427757112011566,
    2.9031698737002243,
    2.866005766202168,
    3.25799868446403,
    3.043105726179899,
    3.3202897915434297,
    3.187948009246926,
    3.546346281601897,
    3.253020755859837,
    2.9895503504091554,
    2.827129182651137,
    3.1093501355565136,
    2.770893133088415,
    3.305133579796237,
    3.0566515661475915,
    3.3444997459322288,
    2.924308363739471,
    3.0245090050351084,
    2.9895062152264034,
    3.023217413171114,
    2.83280838543958,
    3.216981925483765,
    3.067077671750062,
    3.063480713231343,
    2.761164585587589,
    3.1092615218281883,
    2.9421426312938443,
    2.8831872249379753,
    2.5727756918038773,
    3.181080706416187,
    2.9202652817893617,
    2.8420457355243647,
    2.424400787456146,
    2.950168600287805,
    3.1596918405532186,
    3.1716019036581056,
    3.201464511340074,
    3.1172018197422973,
    3.2311278867523505,
    3.250161717310378,
    3.198647924333641,
    3.2257548154281572,
    3.3401897814358312,
    3.2160509320662665,
    3.166298667152793,
    3.30197083413819,
    3.3376653116296646,
    3.214178166626479,
    3.081639685052435,
    3.0569136921637163,
    3.2768148108241024,
    2.921314981805727,
    2.9791716389402723,
    3.011816708396008,
    3.1164645503666133,
    2.756594368894172,
    2.7126995592727234,
    3.3102453394950224,
    3.4229401110671547,
    2.9145662663010006,
    2.8819632832736373,
    3.1527989340220897,
    3.1786713408128895,
    2.641833737945581,
    2.5197635365768236,
    3.227526113069998,
    3.151854595606764,
    3.4207765468718163,
    3.1859547847856713,
    3.3973165279395765,
    3.2308550032609373,
    3.476202932016033,
    3.1753331670019262,
    3.2894529951796754,
    3.103842302386123,
    3.2037629823196467,
    2.855760582149007,
    3.3508827511172155,
    3.085058119524337,
    3.2025053265798906,
    2.7851773026547595,
    3.21905561394588,
    3.195555573630408,
    3.065104651176298,
    2.873811902716202,
    3.185310463988973,
    2.992238052411217,
    2.894556135402831,
    2.5498806659714037,
    3.2811281121839686,
    3.139140862379132,
    2.827179344137425,
    2.5259625154851726,
    3.1177407223948803,
    2.8356663145323138,
    2.5762458861896755,
    2.1414463785908087,
    2.7592811948227296,
    2.879275282236958,
    3.1376805083531973,
    3.097920461013341,
    3.0040372434549942,
    3.002747047813999,
    3.26592800665762,
    3.1179166206913607,
    2.9640748820292853,
    2.99634626987383,
    3.1333633370289684,
    3.0023233786704884,
    3.141944706855512,
    3.0517574236989593,
    3.192407438027035,
    2.9381309539178866,
    2.834560404042887,
    2.9677401442073545,
    2.8644267105996364,
    2.8335884125533983,
    2.817608571048541,
    2.8465016404840355,
    2.704434561444055,
    2.572891307334851,
    3.0241754599680464,
    3.0576778661167667,
    2.846199171544712,
    2.7051416668372354,
    2.9226736568589966,
    2.867495850765004,
    2.5846458608769636,
    2.328245428408627,
    3.045782781633326,
    2.8708764734303607,
    3.3882955222806066,
    3.074089296819627,
    3.280070698873101,
    3.0096801418475563,
    3.4892002391436447,
    3.0958193963334066,
    3.0326863513777615,
    2.75518237992432,
    3.138154197355802,
    2.710242855492155,
    3.183000158591345,
    2.808248687877447,
    3.1961515640927036,
    2.674219377485691,
    3.01917869192482,
    2.897052500945648,
    3.0296172227834406,
    2.7261800363542146,
    3.0137323669734766,
    2.7522627005063995,
    2.8636236277668328,
    2.420152643763765,
    3.0128687517648505,
    2.7786352813595356,
    2.793190516370059,
    2.375944213739126,
    2.905106841909321,
    2.549284133013689,
    2.555036151178084,
    1.9869751509037337,
    3.031456017761547,
    3.119423133981253,
    3.235438875523508,
    3.173053852238641,
    3.015071404670899,
    3.0119975172823406,
    3.1231730726509177,
    2.9867709422493096,
    3.213136615798896,
    3.219492267976856,
    3.1895886024204083,
    3.050809073270358,
    3.1328910781457395,
    3.0473419297315467,
    3.013728030633915,
    2.7875063306093857,
    3.0304553186392873,
    3.225251983806758,
    2.897759940798559,
    2.907211036719655,
    2.7707372131864183,
    2.8208302735017803,
    2.5105196360707165,
    2.3896529938471867,
    3.1917736935626704,
    3.289060716526313,
    2.802737941462602,
    2.7113532242525964,
    2.830725267742622,
    2.8061218739207034,
    2.3106936595879493,
    2.0879599077784308,
    3.2735310805225852,
    3.0911356150683655,
    3.454156582105255,
    3.1319065724482433,
    3.2730142450081168,
    2.9913140517063814,
    3.3355320481274626,
    2.942850925302059,
    3.2480365518077567,
    2.9695203861773942,
    3.144754063591301,
    2.7177394475930114,
    3.158435850357228,
    2.7825964112146098,
    2.9856946077766056,
    2.4762225725123947,
    3.1807560345811074,
    3.131000272492118,
    3.02920666262355,
    2.770809333196241,
    2.935948691367179,
    2.6557633797190374,
    2.642187506411478,
    2.1719920838551263,
    3.15668237249844,
    3.000648980626436,
    2.701801363503214,
    2.339383090419366,
    2.7918347700840735,
    2.4363203544822083,
    2.24034720058922,
    1.6765536414643156,
    2.514633299612031,
    2.841767181133405,
    3.1540449071479335,
    3.2922589561665903,
    2.579319433232708,
    2.7738426411412043,
    3.1806934122491484,
    3.1720038539458644,
    2.8070905268823947,
    3.0209164632680015,
    3.1788812777050093,
    3.221900758804998,
    2.8311135623963106,
    2.9138177937517344,
    3.1155377552415784,
    3.0003988774300017,
    3.2839972985785524,
    3.543433033883854,
    3.508443346964376,
    3.622039611445849,
    3.2090592243505176,
    3.3866411327968615,
    3.410484109054249,
    3.424012490975579,
    3.5375412998634532,
    3.66777499702611,
    3.4938569005946043,
    3.498651996179018,
    3.432325436693933,
    3.4955833680915442,
    3.322302889491885,
    3.2327934923150154,
    2.874424770102161,
    2.8626744745433768,
    3.4666846113901917,
    3.278407348408784,
    2.8839592677288897,
    2.794356906463544,
    3.4027473796403553,
    3.1296050614199524,
    2.9637772732436787,
    2.8230100183948528,
    3.290503131934792,
    2.9925475881051327,
    2.9104996078274525,
    2.691842496957776,
    3.1559274164609734,
    2.7631639195428024,
    3.5664094888242044,
    3.5147940153482233,
    3.748714694120351,
    3.5402487628428947,
    3.437795162517069,
    3.3229255903942896,
    3.5658798344391984,
    3.280798773707429,
    3.583689510910056,
    3.4173155689253294,
    3.5124127439863426,
    3.2008103049393455,
    3.405666512597848,
    3.1830447927206107,
    3.2814655521308773,
    2.8924356232815547,
    2.7847747904392666,
    3.0801147266349713,
    3.2646535504472016,
    3.3645034596804004,
    2.658775353629662,
    2.821157216376419,
    3.004908042099758,
    2.975320885892751,
    3.0298382529776653,
    3.2013555242708684,
    3.2464830016271096,
    3.251712999672696,
    2.8423059156459622,
    2.8836436027203645,
    2.8857963464799905,
    2.746143627082304,
    3.453754250201022,
    3.7218006555726246,
    3.544177402208901,
    3.6471379233291157,
    3.1439038984393415,
    3.3048157439576817,
    3.1350644520707576,
    3.114990089841582,
    3.6713176817897413,
    3.810859562565164,
    3.49987627071185,
    3.4982951385709704,
    3.322645659789041,
    3.3651023512434275,
    3.008149779224116,
    2.8871106993820814,
    3.092626552384791,
    3.084692173046066,
    3.5365121908643924,
    3.3448143302250983,
    2.9134656436020063,
    2.8039195966200436,
    3.2019772992171482,
    2.905885917040786,
    3.1523245325592493,
    3.0096839385674157,
    3.3036468247820077,
    3.0084883665754,
    2.884478689720381,
    2.644619916865609,
    2.8894250568028452,
    2.4770327853764496,
    3.696186220939669,
    3.6847107449708174,
    3.7526019538185693,
    3.563123040438455,
    3.344215139658016,
    3.20752072213128,
    3.2778831023155,
    2.942556505151653,
    3.7018015763584033,
    3.5726947138001774,
    3.477626016949971,
    3.189382401318144,
    3.2840343240743635,
    3.036131326632224,
    2.943304958681627,
    2.5061533741735644,
    2.723963424025075,
    2.880910539635706,
    3.30686279758104,
    3.334847242334665,
    2.6316583642127913,
    2.673857181523947,
    3.1780419145318537,
    3.0745186783567124,
    2.903739768697741,
    2.965471212181487,
    3.2581995780815425,
    3.177541821354456,
    2.7679523427255672,
    2.7044771304639816,
    3.0375945848672847,
    2.812090963896635,
    3.3416218187186937,
    3.521849012356065,
    3.557237308222157,
    3.5822841776355885,
    3.0531948850471715,
    3.166188648976023,
    3.251413211128593,
    3.185714640032498,
    3.502845699262807,
    3.561713529065393,
    3.4803594990629074,
    3.390343094774026,
    3.18962315049981,
    3.184426683919502,
    3.1038101589042952,
    2.9207500897384318,
    3.043333520492044,
    2.869242784404333,
    3.5833671312806747,
    3.2874159881962064,
    2.902799400002074,
    2.664434877296852,
    3.373185101556065,
    3.0052719668179053,
    3.0140296655995793,
    2.7419654432843124,
    3.3281533482110914,
    2.9206278503613508,
    2.7970656798258817,
    2.457263473111842,
    3.040479518315255,
    2.5480664614872754,
    3.601622456007414,
    3.4611684880753275,
    3.770880720238925,
    3.4556683325657183,
    3.2612948781632096,
    3.072880691271033,
    3.387141865876324,
    3.0100259761018267,
    3.5271491061850284,
    3.2876041880981424,
    3.4749632568883024,
    3.0633664889317096,
    3.1348164205752203,
    2.8457097598768852,
    3.036962166063949,
    2.552827032934938,
    2.9471262480766875,
    3.084991758591965,
    3.367570624662201,
    3.364639659647295,
    2.667731139564779,
    2.69009225209893,
    2.9506007903370652,
    2.835989621528922,
    3.0728055571461144,
    3.1109343812208836,
    3.2796551941528094,
    3.1742988153227207,
    2.729969564739989,
    2.6412027683540167,
    2.773048522475408,
    2.533125445455741,
    3.490036252649147,
    3.7205255818576264,
    3.5598670999325313,
    3.6150847078544306,
    2.956615551366064,
    3.087769279615816,
    2.9274210395474523,
    2.864761687468147,
    3.605598210189523,
    3.7177660484463333,
    3.453510822524483,
    3.399689490285997,
    3.0377187201633222,
    3.0498474629930525,
    2.753085840129561,
    2.574904267395598,
    3.222301512845612,
    3.0547230429293446,
    3.604633976076299,
    3.3074843240853564,
    2.8966673815591126,
    2.641572830426928,
    3.1252033813021534,
    2.737379771934033,
    3.1638058351947667,
    2.893969991051187,
    3.3072777740197106,
    2.904225031995491,
    2.7361473568674395,
    2.378667028967703,
    2.7495574268119984,
    2.239400851259523,
    3.7106240425465815,
    3.6486258805820775,
    3.74094858734124,
    3.4789620579284013,
    3.138227961762652,
    2.9560162028473655,
    3.0522497735655585,
    2.6509973353097447,
    3.6208236929118334,
    3.456441667003217,
    3.414160158500801,
    3.057334417474433,
    2.9768509637433844,
    2.689661248914417,
    2.6668708214204067,
    2.156836013617263,
    3.0154441735909243,
    3.2134755396315318,
    3.279514737093594,
    3.2745405304753237,
    3.0841892116327307,
    3.1681037002670864,
    3.3098273250523578,
    3.190238764308283,
    3.0701772957791755,
    3.1688001127715646,
    3.1513096056708045,
    3.0521546281786396,
    3.0748596316854684,
    3.0625125368863095,
    3.092547360381825,
    2.861667482261296,
    3.147986579302172,
    3.308254459927353,
    3.0174341259722173,
    3.032713147968058,
    3.0409357291349552,
    3.1042218302216704,
    2.840542423238978,
    2.753147473012657,
    3.130691175402826,
    3.180984622631752,
    2.837158564461682,
    2.745815852381154,
    2.9678921210740707,
    2.9293866951601357,
    2.558889830034663,
    2.3465081463376194,
    3.275191829172594,
    3.1109949633065366,
    3.4724604407641264,
    3.1459630066513684,
    3.2803989192445586,
    3.0495394991545957,
    3.4129771857336553,
    3.0246806264826964,
    3.0952200210426075,
    2.8497008487649342,
    3.1220989188471835,
    2.703039944575921,
    3.0588078646476693,
    2.7384594809072507,
    3.019237274779197,
    2.523505798696756,
    3.269077739887761,
    3.1281208990396387,
    3.094924482244621,
    2.812603442199105,
    3.129959845594903,
    2.8899550328818084,
    2.8659398248482004,
    2.467656125056689,
    3.03859948375779,
    2.8095744529575604,
    2.7150797372759183,
    2.3404362716311278,
    2.850973949002836,
    2.5280896666405663,
    2.4224036507656668,
    1.923084984341049,
    3.236534419061832,
    3.3829601430679315,
    3.32932008467142,
    3.2920115029117003,
    3.058361598493356,
    3.0994113503855947,
    3.111945799463336,
    2.9727365761901927,
    3.2530280907392743,
    3.3019118971637886,
    3.1393442360844803,
    3.020314811662887,
    3.0222394873928513,
    2.9593201449649253,
    2.8330627510852633,
    2.5906938617657707,
    3.2654398159244487,
    3.4346064679751365,
    3.0008121460625645,
    3.0091997736939105,
    2.900955303742008,
    2.9328613704481743,
    2.5678772881174456,
    2.440201423055403,
    3.236585393907522,
    3.295177916748397,
    2.749301619144136,
    2.6625141408669197,
    2.820668934733943,
    2.7440308692399356,
    2.2185257567000036,
    1.98216700061701,
    3.448846154720337,
    3.2793147331889485,
    3.4938658793726702,
    3.1675617785816454,
    3.224583196629018,
    2.959318232172275,
    3.200683198130153,
    2.7902020060215382,
    3.2382004387998116,
    2.991015105613415,
    3.067090024558331,
    2.6556666756281455,
    2.9721527759692874,
    2.6204401064721585,
    2.7283121308751794,
    2.2174434608824662,
    3.3657755529601534,
    3.25709711465292,
    3.056767525051626,
    2.790237804677348,
    2.9736615136918356,
    2.686889666419769,
    2.580366061736148,
    2.130874576196515,
    3.129774582479798,
    2.933420391426472,
    2.5953378188580887,
    2.242776302464327,
    2.687320764090038,
    2.3193594398780712,
    2.056159732001743,
    1.5225671611967888,
    3.092936783616168,
    3.161720557571562,
    3.3420351686150407,
    3.2586107198273337,
    2.9680520364041207,
    2.929798517160175,
    3.164503499574826,
    2.974976425877519,
    3.067196615993594,
    3.0387029265231416,
    3.12296028983706,
    2.936698626251591,
    2.879533376474073,
    2.736263062283139,
    2.8456997325184674,
    2.5311501393884237,
    3.0848124007428304,
    3.176346169694539,
    2.9739420566818966,
    2.910721016571331,
    2.7379972202816205,
    2.73298457348133,
    2.5455041758151595,
    2.3776619541620776,
    3.001476389370587,
    2.9913794034518304,
    2.7238603336796503,
    2.5435539593327268,
    2.6027732262525793,
    2.497695209064701,
    2.182539626914102,
    1.8667550796618508,
    3.2942308425202578,
    3.0252481572957377,
    3.4889692381516184,
    3.095523985914525,
    3.1157840927229365,
    2.7824330186786983,
    3.2367358630559755,
    2.783768835079954,
    3.043667314661854,
    2.699930184987022,
    3.0511747009728296,
    2.562660126973473,
    2.814185970961854,
    2.3929856639435694,
    2.7420682536139918,
    2.1738781139953547,
    3.180402474152498,
    2.9719784814224397,
    3.0271882576942524,
    2.655965150558557,
    2.805599024069611,
    2.4909703848999607,
    2.5542751345466397,
    2.0586877639497554,
    2.895272855715403,
    2.6085595394062224,
    2.5832062760297427,
    2.1204538579356846,
    2.4695192251006572,
    2.0769963480318268,
    2.0330577148669304,
    1.420175678781554,
    3.25460428021207,
    3.2952539938945,
    3.3416189381332693,
    3.226556619112471,
    2.8802558161820224,
    2.8277481370473607,
    2.912292924811881,
    2.711311605206885,
    3.193296916159837,
    3.141218542672251,
    3.066570655775039,
    2.8658408492135066,
    2.7692169627806686,
    2.6045085483332873,
    2.5452018190414805,
    2.229045775335792,
    3.176978868745757,
    3.3287926780749477,
    2.9292542642750057,
    2.8966184910399777,
    2.5540549805099735,
    2.5499576753259277,
    2.2240471598901457,
    2.0366735341107547,
    3.0795769565030304,
    3.1270161749806555,
    2.607603067889018,
    2.4678138118754047,
    2.408582066334633,
    2.298954402062447,
    1.7983521005142133,
    1.48282154344958,
    3.4134877546909577,
    3.1541416269501714,
    3.4572051798872923,
    3.0639343511694475,
    3.005263035723913,
    2.656368515741973,
    2.971195856753798,
    2.5017563795334836,
    3.1433869185570025,
    2.810389130802935,
    2.954860502038701,
    2.473164967826903,
    2.684363445214251,
    2.247930211299074,
    2.4165747516695593,
    1.8387591140141053,
    3.250683513827129,
    3.1251532748200743,
    2.9586008600114457,
    2.6395196229245093,
    2.6062915160805,
    2.26917628646991,
    2.2204699160364796,
    1.6862966965353747,
    2.9625121823974405,
    2.755351455045366,
    2.434458357874427,
    2.0276098802985105,
    2.2636998428822586,
    1.8488135896719156,
    1.6259519686660133,
    0.993965265369676,
    2.1778831610730673,
    2.6206198612007796,
    2.9259369036583633,
    3.1250291101303946,
    2.599313094907253,
    2.920872519379415,
    3.237328639887619,
    3.3217143549626176,
    2.7597712651303166,
    3.0893812790479385,
    3.3046297434461818,
    3.401968003869195,
    3.1134294109636196,
    3.3243629230404763,
    3.514517716072224,
    3.4897646514718073,
    2.9152483161301546,
    3.3212199410357273,
    3.2501175979967174,
    3.4644717445026494,
    3.037980368754022,
    3.36230596401926,
    3.280594257433422,
    3.4103360647417684,
    3.480220978160261,
    3.7724811061676986,
    3.594084148752946,
    3.715426719086625,
    3.541755974179179,
    3.7657919770590325,
    3.538117047697117,
    3.581017877253916,
    2.5259374020489886,
    2.7086818883229515,
    3.232933747513022,
    3.1885498708186883,
    2.95112238352553,
    3.0168952900690886,
    3.5233159503800664,
    3.3766342470935213,
    2.9378753882223076,
    2.9743295689643916,
    3.4135968647993993,
    3.232540333206792,
    3.269764817109462,
    3.1969812596538265,
    3.609097782652751,
    3.322135477783795,
    3.1930301234568166,
    3.35999262844871,
    3.4934715011687363,
    3.4634378293351977,
    3.3345458557067675,
    3.381041683365446,
    3.525243111464832,
    3.381078096751572,
    3.569467610810352,
    3.609375352061623,
    3.6398021201300175,
    3.4854431749387382,
    3.6174817335284635,
    3.555364722100265,
    3.5900303990621345,
    3.3334292253789295,
    2.4754234762113305,
    2.8845395448255937,
    3.0293084104166295,
    3.200204160638795,
    2.591537061622058,
    2.915432926439767,
    3.029389338822224,
    3.1334119681912354,
    3.0136455496169816,
    3.3021990318754906,
    3.3941603882839213,
    3.4712593354195667,
    3.055323874963348,
    3.2663388083038916,
    3.289768822368023,
    3.29216501225277,
    3.1329307679543175,
    3.553225471095651,
    3.2741837559250335,
    3.4970395858380376,
    2.9830013323888753,
    3.332995240793551,
    3.037220141082912,
    3.1873920945982643,
    3.6230473093415454,
    3.928302991848759,
    3.5614439460175773,
    3.694479809894332,
    3.4115741336958205,
    3.662002024685726,
    3.2403310312743754,
    3.3099884985336128,
    2.790944563467903,
    2.9480019730881692,
    3.3244995180036656,
    3.2481863215838995,
    2.924780883032244,
    2.9842452815846268,
    3.321584338169176,
    3.1755949093071556,
    3.1709688533069356,
    3.1763507859266245,
    3.4778302421150693,
    3.2790278196240914,
    3.2016731196998247,
    3.1176775196845052,
    3.370117680797925,
    3.0895447592679575,
    3.376350955186931,
    3.5642280357821132,
    3.5021192515375503,
    3.471258215426494,
    3.257921566166549,
    3.3140229873675695,
    3.279860817561526,
    3.1281815052500592,
    3.6923074008782777,
    3.7525267031519185,
    3.5804739634337164,
    3.437405408683527,
    3.4779066734404975,
    3.421275601242925,
    3.27073063364155,
    3.0106279003368535,
    2.4678482924883287,
    2.745235398169825,
    3.142528283132819,
    3.258765850271412,
    2.626302401854036,
    2.8011645422377764,
    3.211891331840493,
    3.230495781900226,
    2.9713707724544465,
    3.140072599355344,
    3.4557270367969886,
    3.4547553783957516,
    3.0758274406204418,
    3.1321738335989715,
    3.4325597051460823,
    3.3158540866600354,
    3.01568751095064,
    3.3352254594999295,
    3.366562899661739,
    3.511326834666624,
    2.903787647431017,
    3.14786216376735,
    3.1730159235597633,
    3.2398181944751943,
    3.507799527823008,
    3.712784273851014,
    3.661449475042434,
    3.703227128494935,
    3.3531984914625426,
    3.488605945087697,
    3.401426856630554,
    3.360029732548029,
    2.791441712729583,
    2.826880786351976,
    3.4368815270260615,
    3.316983558583429,
    2.9628941062145104,
    2.891809211416036,
    3.4980567512322116,
    3.28449408103661,
    3.1178030427500714,
    3.02112583912152,
    3.5477853101627197,
    3.279990112427896,
    3.200479802323132,
    2.995380332825129,
    3.5140573318201147,
    3.138801939820998,
    3.282317102703786,
    3.360315879546471,
    3.602390260258816,
    3.490568651665758,
    3.1855106545831835,
    3.1347131132039534,
    3.408782264815489,
    3.1779915371863146,
    3.5830378107370073,
    3.5404669019640247,
    3.6913846658473584,
    3.455876946506108,
    3.4101743833191893,
    3.246296136321969,
    3.436437192775241,
    3.078049187242713,
    2.720068337058012,
    2.972540864096348,
    3.199099761326978,
    3.2904299476092818,
    2.595706082988696,
    2.7781803221750505,
    2.986800611897407,
    3.020578662702759,
    3.165593017562555,
    3.3009443099783526,
    3.498975333755971,
    3.4794035923980164,
    2.9843876665732214,
    3.044035681080133,
    3.192560181281479,
    3.096025387796642,
    3.2103022379764328,
    3.5910750366020916,
    3.364133463326906,
    3.551787076286762,
    2.8180897558468767,
    3.1296694498599127,
    2.8996464772735884,
    3.0136664680134317,
    3.616533316333378,
    3.8804472270842267,
    3.5978622744652315,
    3.684795269600416,
    3.179970131720145,
    3.383562120697097,
    3.0677995229175465,
    3.0791720479414506,
    3.0193869622306906,
    3.0290881437316535,
    3.4838416730900255,
    3.3301294107387314,
    2.9197072663375456,
    2.840681809940693,
    3.278323265722779,
    3.057646465467134,
    3.299557770957449,
    3.171921189892475,
    3.5710537427209483,
    3.2822494966766964,
    3.107603270643634,
    2.8886854571992955,
    3.2641117654698597,
    2.886556011298012,
    3.4480597661882086,
    3.587342278871329,
    3.5864518224940944,
    3.4966276567763064,
    3.080281536123139,
    3.067019020566865,
    3.1325343755594304,
    2.9040781360626933,
    3.678600887640221,
    3.6972349568082405,
    3.605890648309951,
    3.4045193616994327,
    3.2306989753578437,
    3.1027780474686484,
    3.084200064427159,
    2.733663847065022,
    2.810952229699254,
    3.1584428636427493,
    3.266784447808331,
    3.368886794845367,
    3.1993075033074794,
    3.433305747174699,
    3.515449035517509,
    3.526606959744224,
    3.224007122147393,
    3.466632533052053,
    3.475866620340458,
    3.47532072112514,
    3.5471873029765333,
    3.6829073269479977,
    3.6373248518028234,
    3.5415884842720162,
    2.9253623748236977,
    3.2359959735054353,
    2.9185889284333593,
    3.041574424551631,
    3.0871806700034936,
    3.2924309908356557,
    2.9279737402708204,
    2.9580145486663874,
    3.2944541208867806,
    3.4969386379916214,
    3.0836267888346587,
    3.1165753746519425,
    3.3850531538356945,
    3.495821310874062,
    2.9780287834819825,
    2.9150075341751194,
    3.075786254617584,
    3.1370108747333667,
    3.469407208049588,
    3.3286579386496973,
    3.4479240355290415,
    3.4015873120659768,
    3.6749993456659853,
    3.4480801951501023,
    3.26767432316659,
    3.2058173851913314,
    3.4345475923388507,
    3.1674442019654854,
    3.572876672632858,
    3.4065340957099695,
    3.5910244775375246,
    3.2354807761885582,
    3.0787784944899133,
    3.1476801372463292,
    3.0500630773507478,
    2.934029607864579,
    3.265814727589645,
    3.1836725948376374,
    3.052012674244322,
    2.7900958517587253,
    3.2518821327134413,
    3.20080110363146,
    2.996535675575413,
    2.7778780040675555,
    3.3518090232639395,
    3.172884128332134,
    2.918998900146016,
    2.5608313962161393,
    3.0862413594437808,
    3.378778110215454,
    3.3522221579540092,
    3.429475162773217,
    3.117135300724855,
    3.3445294313353218,
    3.3007084782469445,
    3.3325614637247254,
    3.468459180388658,
    3.6611424594565163,
    3.514286010412855,
    3.4980668863545246,
    3.4376353889172293,
    3.5697435715610557,
    3.393674012394252,
    3.326374032040752,
    3.0793715005418067,
    3.38663728321373,
    2.88047062002069,
    3.001271019188712,
    2.95066888260369,
    3.1569798352142318,
    2.653797656261987,
    2.6815595484451076,
    3.3779887148350367,
    3.5864326257832833,
    2.9402784291033583,
    2.977253216912736,
    3.1789209813123067,
    3.29923993788334,
    2.621109241742582,
    2.568855960474627,
    3.316707530534158,
    3.335087966968012,
    3.5484907878691168,
    3.376891810170214,
    3.3425721569546942,
    3.2703545142808483,
    3.464635595446173,
    3.2335712549731443,
    3.480320393765672,
    3.3859054457678264,
    3.4411658659624744,
    3.1501751590439286,
    3.4433571454805985,
    3.2543322198140565,
    3.3229745983113625,
    2.9640515244749364,
    3.200749145954609,
    3.2629953459924512,
    2.98828590855661,
    2.8570243646941913,
    3.0992788602184764,
    2.9905216721599643,
    2.7644470812485205,
    2.473740188541228,
    3.30184329801793,
    3.2639089744857666,
    2.8042220576500867,
    2.5807864875028272,
    3.118809939605592,
    2.92791534981399,
    2.5227290579680632,
    2.154446593862179,
    3.031396972231256,
    3.2206163145276383,
    3.434327067114743,
    3.4526609172236697,
    3.1576724144827755,
    3.2413121515899372,
    3.413845534029196,
    3.3503803136325447,
    3.3800621476417416,
    3.4620345012814853,
    3.5467470402706414,
    3.4480532634618184,
    3.458316380289723,
    3.426452079862319,
    3.448862911341674,
    3.249388669631861,
    2.9036317856953384,
    3.106340544780826,
    2.919391654951049,
    2.945261880464,
    2.8371312735045633,
    2.903384879658646,
    2.690825202790889,
    2.5871594326067915,
    3.2227859325380868,
    3.315132502055353,
    3.0011367561781293,
    2.9106495211450483,
    3.0907070440687447,
    3.0534518385797274,
    2.6616507511376577,
    2.4274786387707454,
    3.2519836778257663,
    3.1789050906761704,
    3.607823936753537,
    3.392896911727292,
    3.375299945688922,
    3.198481288183501,
    3.5564944369237175,
    3.258586832810175,
    3.382392360483391,
    3.1934982711000144,
    3.4794221897509305,
    3.1326137366045934,
    3.4405173979162473,
    3.139677403102451,
    3.383907211171937,
    2.9372805396185138,
    3.0365614202042606,
    3.0022917274092022,
    3.0329896967090173,
    2.8157716827539243,
    3.003852993162626,
    2.7692927863292374,
    2.805266420730908,
    2.388753218620405,
    3.158383116058013,
    3.014409694459834,
    2.8919361215729618,
    2.567079935409939,
    3.0436749067661997,
    2.716330357660237,
    2.5918590813250324,
    2.0586276398226193,
    3.255086909615658,
    3.4057602253752277,
    3.470513125270248,
    3.4665903025822327,
    3.0455636624101885,
    3.1343421790054666,
    3.1782725267996006,
    3.1309930672140913,
    3.5631746561369386,
    3.6062465352253854,
    3.5342263252222703,
    3.4230671542452393,
    3.310368478380065,
    3.2820204599065517,
    3.1835810793990102,
    3.007952740190884,
    3.0337114097086673,
    3.2882031896805715,
    2.8572124518029463,
    2.9204270268372756,
    2.6501614079598212,
    2.720090852831476,
    2.3712669920096827,
    2.2499754613105902,
    3.2689848699643305,
    3.4218321787657953,
    2.822922879810155,
    2.7719223123352448,
    2.8048566196020017,
    2.7797602227664537,
    2.2374303058052005,
    1.9891383424492228,
    3.449764463031606,
    3.3375936786341325,
    3.6375829554295604,
    3.38937358651878,
    3.2467616061439384,
    3.042462969818218,
    3.324629062909472,
    3.0136524074333595,
    3.5445759031656836,
    3.322977414979115,
    3.4367523500674664,
    3.0655487610478263,
    3.2845356897803804,
    2.958048866206022,
    3.0985042186207776,
    2.6428450838848243,
    3.1373309110840975,
    3.14461400414675,
    2.947993049892623,
    2.7462723937889497,
    2.7835056161278207,
    2.502773166109072,
    2.4687879685483303,
    1.9815253746972559,
    3.1752797164189355,
    3.093931800244448,
    2.665216345276399,
    2.368306769668834,
    2.733322253311317,
    2.3857332254693313,
    2.128350146905839,
    1.551712520425256,
    2.7617509811429706,
    3.1069637156301972,
    3.3685799041834192,
    3.4716805816730867,
    2.7632776255096587,
    3.029027397110388,
    3.3103940338258955,
    3.320081917425709,
    3.0816837467010894,
    3.3211970408800644,
    3.4976008061715813,
    3.5086879484341837,
    3.0476130193169184,
    3.2009586562058434,
    3.3331965921162876,
    3.234477313353872,
    3.4190507805619923,
    3.738229104334538,
    3.5973928252954077,
    3.7240547995179267,
    3.177427092975975,
    3.44060266319078,
    3.3133785633536146,
    3.3669003903768724,
    3.712666894956638,
    3.924255279161267,
    3.674833707623254,
    3.715899976165894,
    3.455436227186352,
    3.614782701936401,
    3.314547752006487,
    3.2780283674283996,
    3.0471754267451,
    3.1060398921213697,
    3.605971548874212,
    3.4423742431730666,
    3.031224345700305,
    3.0288232999790585,
    3.4854624929928253,
    3.2604816204741978,
    3.1449516436054594,
    3.0980977138286807,
    3.5118314152469914,
    3.2567141073442833,
    3.0887781044094194,
    2.9751517465914823,
    3.318183030873536,
    2.9854187728061783,
    3.6369330163090776,
    3.684809409019441,
    3.76790498380803,
    3.6246678023049697,
    3.393572384575286,
    3.3676473828298166,
    3.445074187670409,
    3.21622905845669,
    3.665989168668131,
    3.6288209767944584,
    3.604656464605753,
    3.383983165936395,
    3.4042505495696656,
    3.2960417795783457,
    3.2419819931201204,
    2.9332799935640863,
    2.896453983896823,
    3.22706779192999,
    3.310973205361391,
    3.4022108463062457,
    2.6836469835894396,
    2.9383688983143577,
    3.0072404618281556,
    3.021242678479641,
    3.1705090874049944,
    3.3882763502993196,
    3.4158207617880105,
    3.4193320734745205,
    2.9210102427126525,
    3.058988177516527,
    3.013912043658601,
    2.9256966859354336,
    3.474641662066531,
    3.8166130629035386,
    3.484151251578977,
    3.6235287066076465,
    3.0184719401729874,
    3.2909957509386514,
    2.9609014290974445,
    3.0172524741214986,
    3.716304137258673,
    3.951278207771985,
    3.525460144203402,
    3.581695280523106,
    3.2463925810817464,
    3.4162774207502986,
    2.9351074391926075,
    2.9072254551706327,
    3.1338160967579514,
    3.1995926248705837,
    3.5257921941038832,
    3.3612767097666483,
    2.906512560423046,
    2.8985879639045207,
    3.16893625469163,
    2.935587147130306,
    3.2081092098938004,
    3.159166835484257,
    3.401335667914573,
    3.1518759365594287,
    2.9336684048195103,
    2.8088481539026073,
    2.972493131272054,
    2.6365442696435966,
    3.651146639235205,
    3.745223720198909,
    3.63719945930771,
    3.5161374873658775,
    3.2021825644474458,
    3.18476893448154,
    3.0860506251510786,
    2.840574457583136,
    3.6589005444049114,
    3.661379486868995,
    3.4373978822404805,
    3.241392623367514,
    3.183908494744487,
    3.078753512005113,
    2.843057290750706,
    2.518507525373342,
    2.983777570213184,
    3.1715939422105164,
    3.510982160536021,
    3.5405666698707146,
    2.748410072670759,
    2.876302111096696,
    3.235894800133723,
    3.1916620178728135,
    3.2291430497820617,
    3.3069832186711956,
    3.5671036701284047,
    3.480481903750132,
    2.9589409851329993,
    2.9627636660526555,
    3.184154392685299,
    3.0015892140571254,
    3.4563866437573614,
    3.6909364811547642,
    3.655558327069598,
    3.7122078688446507,
    2.985402337049554,
    3.1812868944604857,
    3.1543400147051854,
    3.160979271119026,
    3.701388776540737,
    3.823060239824577,
    3.7073460191317777,
    3.6677302427821337,
    3.2151119788503255,
    3.2931948335140686,
    3.126223360253859,
    3.0182015581894666,
    3.233825339710666,
    3.1573327663100947,
    3.723279191893156,
    3.49851143647083,
    2.992461304568364,
    2.8678240972703515,
    3.403857948273841,
    3.1284703461656607,
    3.2501442935884013,
    3.0764484257454847,
    3.558279554608043,
    3.2222672729207895,
    2.961727272090408,
    2.7282635431913045,
    3.154948492586297,
    2.7459315836537868,
    3.6541647989433663,
    3.6196376027775257,
    3.809012849515459,
    3.5909541113189984,
    3.177187818851092,
    3.074997692626505,
    3.2685322026760444,
    2.979641515307221,
    3.637196009476075,
    3.5190113971836765,
    3.6205164202133067,
    3.3213100927461428,
    3.139039673850355,
    2.945461454994967,
    3.0338270483338734,
    2.6442598921140914,
    3.0833700075328414,
    3.2534078356570166,
    3.41749265578568,
    3.4302468607464505,
    2.6466170470155164,
    2.761962365675646,
    2.915316685954876,
    2.8687802106927918,
    3.273962003255723,
    3.3293689447191124,
    3.458593397710462,
    3.358104095898191,
    2.8010131079560714,
    2.789052080382237,
    2.8576209057162956,
    2.674609302586992,
    3.4731244731132893,
    3.7644644796279256,
    3.499451994687118,
    3.5928888253082896,
    2.779190766909852,
    3.012442002179882,
    2.7550584193557683,
    2.780380902588699,
    3.656319045025717,
    3.8362940619461523,
    3.511494850811851,
    3.5074067510776965,
    2.9517075935949206,
    3.0706746092627286,
    2.7010558454684737,
    2.613533062943893,
    3.2896632453193995,
    3.2074049801218885,
    3.6061918759207696,
    3.3702682711411107,
    2.8471037374172097,
    2.7091271910362833,
    3.064242259112992,
    2.772873745449019,
    3.277456538948994,
    3.0916107426248933,
    3.4256334257262795,
    3.082780474064144,
    2.779694475998304,
    2.529168152429197,
    2.799780152031058,
    2.377087222541589,
    3.629034154083735,
    3.667653264636276,
    3.632062993858953,
    3.4496708237074163,
    2.94122991701007,
    2.865326471212037,
    2.8626228793467456,
    2.562105601035747,
    3.584965944258898,
    3.5357281856328697,
    3.4083500930620763,
    3.1443403690446536,
    2.8685331063678756,
    2.6986280336524326,
    2.591328451056593,
    2.186846875840235,
    3.3199263060357582,
    3.566625649818427,
    3.627725923684731,
    3.6361208058149765,
    3.2585904430751667,
    3.4283058938894317,
    3.5096558995319933,
    3.4501505304252946,
    3.4644244795294634,
    3.614070177934181,
    3.5929654932647566,
    3.506325594154956,
    3.3316970996422697,
    3.3981249857518425,
    3.3643913241326633,
    3.1894508171571347,
    3.3405363909476398,
    3.5601165444347047,
    3.1623890390659195,
    3.2051632204212392,
    3.1271909757132805,
    3.266877487507653,
    2.886662841641114,
    2.8448060316380825,
    3.374276196228932,
    3.496290596879561,
    3.0325255606049346,
    2.9871271297205904,
    3.1236308207144745,
    3.164224512162926,
    2.6459610539923824,
    2.49340411264677,
    3.518835751703839,
    3.4401650173394285,
    3.7474488599414713,
    3.479488210450241,
    3.4170474683624956,
    3.2732099719505126,
    3.5550242023051366,
    3.2369683520734593,
    3.4135065893690983,
    3.2608508091336494,
    3.475534501341566,
    3.123879502614937,
    3.2724018718609305,
    3.042234799867626,
    3.2327246574158552,
    2.810259502780029,
    3.4204985016574945,
    3.3438551171892277,
    3.1964411373480606,
    2.952356505482773,
    3.2064086028527825,
    3.0266300316596304,
    2.8863095619424155,
    2.5210897341419987,
    3.224852429512094,
    3.0848140549338714,
    2.853599549742401,
    2.5483847895599663,
    2.9869534179289827,
    2.745355256904026,
    2.4844083130733496,
    2.0438369743657927,
    3.4126066778382054,
    3.6306293971804253,
    3.5419615838393086,
    3.540006710254283,
    3.0923129996046104,
    3.2422906202344937,
    3.1968473261836263,
    3.139754233711511,
    3.532161727991198,
    3.6543782157122826,
    3.455340700041856,
    3.367484951813955,
    3.156306654750806,
    3.201602252383231,
    3.027743679975468,
    2.8656500598358785,
    3.342522138902181,
    3.5678140798672024,
    3.007778337215403,
    3.0474957500368305,
    2.886823031874841,
    3.00880912008542,
    2.5156955626341384,
    2.4531769535295913,
    3.348997602186893,
    3.479449813196447,
    2.7960494973197942,
    2.7557467399173614,
    2.8640449235657375,
    2.887874161262375,
    2.2220138052247997,
    2.061777101474555,
    3.5668813030470474,
    3.4850584581057458,
    3.6434851459202138,
    3.3757668782868606,
    3.2130211453874846,
    3.0404308558442,
    3.232924347136341,
    2.8977455720735454,
    3.450360729610056,
    3.294001239199627,
    3.3089683492980955,
    2.9587499544517737,
    3.0637747568315787,
    2.8041618055912334,
    2.866008889532469,
    2.4303330395276213,
    3.3904322660108046,
    3.339998520895735,
    3.0185594041411927,
    2.78403299655854,
    2.935239581550383,
    2.723674358710157,
    2.503738195334437,
    2.1034496898275563,
    3.1737801904258505,
    3.062168103372173,
    2.5798198549392852,
    2.286610586419285,
    2.696404080061637,
    2.427364547570278,
    2.025054568404001,
    1.5647301256880235,
    3.4820077630062842,
    3.5853389404661757,
    3.723543962322153,
    3.6651323352531064,
    3.1560861955145043,
    3.1947446471732635,
    3.3421695604694834,
    3.228702267408113,
    3.5590094194595823,
    3.5487317846831434,
    3.5844896298688083,
    3.4097738818055228,
    3.1761258564196173,
    3.0873437500936847,
    3.0859556531671966,
    2.8268000520535193,
    3.267929360513157,
    3.384854692707994,
    3.109572395065172,
    3.06140134119019,
    2.7915153453130737,
    2.8248399572030056,
    2.5666771525093974,
    2.4244577045678852,
    3.2651178446658013,
    3.2809920288938628,
    2.9125434303227906,
    2.7593759516465903,
    2.7438992671124414,
    2.6701370300654026,
    2.2364954530094394,
    1.954409437564376,
    3.626011120670422,
    3.4311525560319005,
    3.797436567071491,
    3.4776419145058326,
    3.2686376393257826,
    3.0219334417373,
    3.3587567073078706,
    2.9954158119874954,
    3.457953634757591,
    3.183730932168692,
    3.432887696814386,
    3.0143171530312225,
    3.066345426337917,
    2.7188854705562147,
    2.932408725649859,
    2.440246638900517,
    3.317953483607422,
    3.149318665785743,
    3.1123354220605535,
    2.781848913040071,
    2.8415185972342183,
    2.5471024004100062,
    2.5406260508763197,
    2.0595306853053885,
    3.0924014316668016,
    2.8640599957190203,
    2.709037855270113,
    2.313266294907765,
    2.5860304846850397,
    2.228636921901523,
    2.0585813303518905,
    1.482495183324739,
    3.531910835116678,
    3.6130582546151326,
    3.602440154020453,
    3.527505388953741,
    2.9527421410577457,
    2.983241869001711,
    3.0049942259179563,
    2.8896118862622187,
    3.5802928424953793,
    3.549256449055318,
    3.4155090273080044,
    3.2348405253648034,
    2.9611066615241617,
    2.860892551734267,
    2.7301945933025875,
    2.479093199106294,
    3.2276611708876626,
    3.3874261183310104,
    2.917555081168796,
    2.888153890015331,
    2.4894591482051562,
    2.496243744649213,
    2.142913924196426,
    1.9505572426860822,
    3.1888721739672166,
    3.2515217695857856,
    2.6301239351691494,
    2.500941862860712,
    2.410032483596453,
    2.315420195358233,
    1.7522290950007824,
    1.4323514843247427,
    3.636686915882093,
    3.4317598565874983,
    3.6543544861773682,
    3.324360381647024,
    3.032333800356831,
    2.7556894303982746,
    3.00908196877069,
    2.6223677348803536,
    3.4589146716623196,
    3.174019475750306,
    3.235213610388687,
    2.8085237601365636,
    2.8260132056200966,
    2.4487389722989032,
    2.5470148406151285,
    2.0367478074889216,
    3.242769162550042,
    3.1299834575938084,
    2.891717276050806,
    2.585036324477839,
    2.508694377390424,
    2.165598116492919,
    2.1038789691817845,
    1.5503639532484763,
    2.9906011502462144,
    2.8242913921179387,
    2.3848079637157813,
    2.0173916455051097,
    2.225464064009947,
    1.8319311808199834,
    1.540028000947584,
    0.9120707391964403,
    2.5258794499131154,
    2.817465794270314,
    3.1329923722111817,
    3.2182513292465065,
    2.7177329266915256,
    2.898868716215926,
    3.263496068948285,
    3.2305288939141077,
    3.0100067548418634,
    3.193957097796287,
    3.3740742517559044,
    3.3648804216510446,
    3.123402921887797,
    3.2024748436919594,
    3.397060205427752,
    3.2695883624940363,
    3.193912148387334,
    3.4424421410562873,
    3.407603974534799,
    3.474837610181349,
    3.0331189256387496,
    3.2366144301530912,
    3.1998987493145554,
    3.215860791077443,
    3.6697455147910825,
    3.795767373469462,
    3.6065494096352673,
    3.581954126630155,
    3.442793923492196,
    3.5429611268143297,
    3.3201913230074496,
    3.254575143535626,
    2.861052691668779,
    2.87038516905074,
    3.4228673185131298,
    3.245218237382073,
    3.0659031501130505,
    2.972305863754375,
    3.540057720842129,
    3.255580748815278,
    3.157286786570676,
    3.0210555136064716,
    3.4665998261250417,
    3.1533057293896274,
    3.260294436419374,
    3.0258276290112365,
    3.478525509927285,
    3.05747224007144,
    3.4518781788017034,
    3.443099223203128,
    3.6237273940327346,
    3.4359930604157656,
    3.30995188417947,
    3.2295381335039437,
    3.4203117408720365,
    3.153297058506247,
    3.7188587866692933,
    3.5729953658906473,
    3.623516145076928,
    3.3139553338558008,
    3.486121945427155,
    3.281656855273184,
    3.3464106622474414,
    2.9624765938599067,
    2.7230015216827095,
    2.971280714525073,
    3.0870599445044364,
    3.159438251152967,
    2.615875015014117,
    2.7792639642676686,
    2.9162582334081533,
    2.9003227796855517,
    3.1586609696365193,
    3.3023062489458637,
    3.314568834895348,
    3.3003722890306717,
    2.960548324780488,
    3.0319065431391747,
    3.0316119204869674,
    2.931969328976731,
    3.2599597574561257,
    3.5042912008873586,
    3.254359979762012,
    3.3238472388760645,
    2.891291185889537,
    3.08482930587438,
    2.8498039519101255,
    2.8562457736226587,
    3.666525553424054,
    3.8072350042311847,
    3.41257009746768,
    3.4037116626371944,
    3.2300660321561505,
    3.3380980513803618,
    2.92462362428111,
    2.8650818967049467,
    3.0409455461272015,
    3.0128102567609787,
    3.38149240750018,
    3.186877697750183,
    2.9486743748668616,
    2.827830801681028,
    3.2011022633474115,
    2.916075153580673,
    3.3063764457468707,
    3.1350734846265427,
    3.4008931832858895,
    3.082211459188523,
    3.0884697059486035,
    2.834359108309017,
    3.100271315666028,
    2.688580777998312,
    3.49696012560692,
    3.4822424995981054,
    3.4725599383658485,
    3.2727021468510307,
    3.1430018403489,
    3.0231366111318314,
    3.0646574470326047,
    2.750235245854944,
    3.717964303476079,
    3.582042382602638,
    3.423369264873732,
    3.119730688646392,
    3.263168778525469,
    3.031026015733588,
    2.9277607660570872,
    2.510259111884989,
    2.6271197879406474,
    2.762680374638338,
    3.1685031514974846,
    3.1636203935819123,
    2.570804422845211,
    2.6258946751466774,
    3.065241889023967,
    2.9736479809428307,
    3.010940137024436,
    3.0538684186157496,
    3.310831014784644,
    3.208435287258605,
    2.8976769626026178,
    2.8541594306222993,
    3.1262624208728376,
    2.926694988608206,
    3.1446265853419657,
    3.301411722678942,
    3.3594385187063853,
    3.3496241464395986,
    2.7455399045456073,
    2.8743070519326643,
    2.9277627296335362,
    2.87937054597668,
    3.5212485157838485,
    3.567081679011647,
    3.4714558690437234,
    3.3720755556095963,
    3.0815321419209076,
    3.1076281604652896,
    2.986784047609512,
    2.8463605601744177,
    2.9395740680264666,
    2.7947795956132726,
    3.4428056299792766,
    3.169161819553784,
    2.910547240585953,
    2.6867112831985933,
    3.3445436969019857,
    2.989671892752963,
    3.135008090171319,
    2.864236369693809,
    3.386068551961926,
    2.9797970199139128,
    3.0153113801361773,
    2.66825347167258,
    3.200312930776108,
    2.7044565384599277,
    3.388515245945441,
    3.263411757561137,
    3.562122565717602,
    3.2617211732549287,
    3.0116766706425597,
    2.829126421427828,
    3.140749241488539,
    2.773407142192349,
    3.556845865690657,
    3.312529254584749,
    3.4739781173254465,
    3.0693299898655573,
    3.111128231456922,
    2.8162511411813247,
    3.0005655171073586,
    2.5220900276852536,
    2.7521961441140483,
    2.8497254435277277,
    3.060756404851114,
    3.0402004577069426,
    2.437088720377415,
    2.475479465328995,
    2.6958455732033606,
    2.613096558223541,
    3.081394837759447,
    3.087105371967902,
    3.1911198291579446,
    3.083361451274478,
    2.7023804524547828,
    2.649465259516397,
    2.743820789160386,
    2.5630411487229,
    3.1731524347026534,
    3.3709919705251536,
    3.170628751035413,
    3.2029015297768026,
    2.5759027964770023,
    2.735780689400679,
    2.5506247913690068,
    2.528347711362479,
    3.4779782205651477,
    3.580181878019288,
    3.248587460231767,
    3.2069439146805374,
    2.839041559638824,
    2.9126277990294396,
    2.5693870213205305,
    2.4721332994271528,
    3.052342365674046,
    2.8695226399273204,
    3.3393301536613214,
    3.044660154577823,
    2.763893197902404,
    2.5057082912953854,
    2.9802519554776286,
    2.6116530807434426,
    3.2111609653890354,
    2.904116614061168,
    3.2631139046413633,
    2.849509435398881,
    2.817077465403293,
    2.4417427767545457,
    2.807580819289224,
    2.30972089565203,
    3.3992146203353886,
    3.305896992952727,
    3.37646028105239,
    3.094470874408017,
    2.8166285137360068,
    2.6131236263713835,
    2.756042125580696,
    2.352409257435248,
    3.5200619276679923,
    3.3216935097986826,
    3.247823291572405,
    2.881434974036073,
    2.8602851176628175,
    2.5567489960563967,
    2.561820391181132,
    2.0658706607357105,
    3.0899251205416682,
    3.2553798332562853,
    3.375492661303407,
    3.285271588864366,
    3.2424418058355524,
    3.312524328901662,
    3.4139394229530553,
    3.243645709302905,
    3.3756446576993873,
    3.431888798294519,
    3.463922828754355,
    3.2824496949473883,
    3.4361753247680387,
    3.4115190282725085,
    3.4034693613042823,
    3.1421399090493187,
    3.122773436086975,
    3.2586657906857255,
    2.980451402965089,
    2.9092998662602767,
    3.0097110117217216,
    3.085001934991756,
    2.7379845229766504,
    2.6086622130829022,
    3.373228676436363,
    3.3985574951002473,
    3.0218329427553194,
    2.8644020166014306,
    3.1715943939562976,
    3.151520440780459,
    2.656822867447982,
    2.435455816759921,
    3.3478722917563477,
    3.222459307551624,
    3.560856243525679,
    3.230389105340774,
    3.4938054386857798,
    3.287444299726844,
    3.569811952289751,
    3.1683677955044467,
    3.3833472370886177,
    3.1439759020427096,
    3.3956113231893092,
    2.956793714853977,
    3.439713229774351,
    3.120602698602722,
    3.344962569815979,
    2.8311906375069604,
    3.2591071481214486,
    3.155910636936531,
    3.0866932477911995,
    2.7839182529217026,
    3.172273778154963,
    2.9721274393141686,
    2.8446368969672164,
    2.4323218410594447,
    3.2905244225280743,
    3.071265600987738,
    2.901301835809483,
    2.5063828980941008,
    3.1029392265004967,
    2.7995988803406,
    2.5749866955955447,
    2.0681613537564583,
    3.2417080283518116,
    3.3289947325882636,
    3.3043966180201205,
    3.202345123419064,
    3.0694617051799917,
    3.0905012475983487,
    3.079456949239074,
    2.9167457372677146,
    3.4982012982508115,
    3.494723347959097,
    3.3490290268069267,
    3.171564539074701,
    3.239193126154104,
    3.1825453806196773,
    3.0425064800458315,
    2.8047987222676745,
    3.1233854516151913,
    3.2079763661769767,
    2.793521070349076,
    2.6910640962738244,
    2.7957429762034636,
    2.8006700539543963,
    2.391099934662301,
    2.2091532883785026,
    3.3215483858970103,
    3.3213188029968217,
    2.735196010445647,
    2.5627424871615045,
    2.905838177522738,
    2.839695865200463,
    2.2327462373483065,
    1.9824202744188109,
    3.476772722386551,
    3.2860117461109635,
    3.499290715670184,
    3.1479024018275803,
    3.298516352348544,
    3.0279652892334052,
    3.239625344595834,
    2.8212097970177235,
    3.491729446596104,
    3.205186466864305,
    3.2698450034802367,
    2.820464284401642,
    3.217880847344535,
    2.851073637886957,
    2.958252190538129,
    2.438852394186366,
    3.2389760191252943,
    3.0746400106951395,
    2.8938614289698297,
    2.536594207612003,
    2.9241842004447283,
    2.6153318366684153,
    2.4816580928015224,
    1.9747840977294118,
    3.224156155176342,
    2.9767671193383536,
    2.588804862601574,
    2.1616645735128177,
    2.807866154512724,
    2.425692385881237,
    2.111965093571362,
    1.5447093398190932,
    3.103682207309008,
    3.1169000414080363,
    3.3415039885340776,
    3.165316010774492,
    3.0061995743297407,
    2.9532156282152666,
    3.1235873762860624,
    2.8950101864182223,
    3.308709102418367,
    3.227497671584195,
    3.320428350986867,
    3.0524071264910404,
    3.1468137719175546,
    2.993562427887573,
    3.0284748958582277,
    2.692252347657451,
    2.922944905451316,
    2.9171040110100623,
    2.78555322446654,
    2.592997586666298,
    2.5960831739217243,
    2.5368567961399737,
    2.3232535419444393,
    2.06815600717535,
    3.0951516536417962,
    2.9891199537719015,
    2.718677871688731,
    2.419243350216546,
    2.7005548317945403,
    2.5464035798308773,
    2.1518535967142385,
    1.764820700102892,
    3.3197436128457047,
    3.058732021872286,
    3.495898524683155,
    3.083676206578395,
    3.234958251271985,
    2.9147807784871502,
    3.2711954460175083,
    2.807488255485065,
    3.2846893477358177,
    2.9265262923297977,
    3.2277944854020033,
    2.712458417906561,
    3.1234632626152217,
    2.6953093299816087,
    2.959980262895769,
    2.3744989475260625,
    3.03950620849735,
    2.787104378534967,
    2.87432347874186,
    2.429617902710488,
    2.7523304364129837,
    2.3991053895746353,
    2.426930317556281,
    1.8565986477487588,
    2.9926369781984636,
    2.6494775456135913,
    2.578226775660277,
    2.046667276770485,
    2.624855560948305,
    2.1866635852938954,
    2.065091201557049,
    1.3794145057088416,
    3.1733776111110252,
    3.1187209554213964,
    3.1999654336045658,
    3.002607677631553,
    2.792838063105797,
    2.6975226454115964,
    2.7632114289120038,
    2.5289632245102065,
    3.3498387001696264,
    3.2133301006472994,
    3.142480234968514,
    2.873069526300659,
    2.910371336727056,
    2.7273534237441224,
    2.645520214710012,
    2.3218961052974443,
    2.881334070858519,
    2.852994389163705,
    2.558722762257548,
    2.351048041139923,
    2.334771257960214,
    2.1802415928295438,
    1.9359299221709874,
    1.5895136135555106,
    2.988163371553884,
    2.882077321546332,
    2.3905709999215627,
    2.093645391092706,
    2.3668880894350925,
    2.134501892010539,
    1.6698005405482375,
    1.2050862300924465,
    3.3682740716874666,
    3.0474591974514613,
    3.360334618947412,
    2.9179613659655512,
    3.0015967732401005,
    2.614602552760046,
    2.910393683031045,
    2.414483010046989,
    3.3150647910181283,
    2.9108593576975683,
    3.0359037903975747,
    2.5058650744310906,
    2.8693524577777634,
    2.3893879862808878,
    2.551251700199623,
    1.9509239114678485,
    2.977532216826055,
    2.6918781614825025,
    2.640694319860376,
    2.157490875400933,
    2.4540894007409673,
    1.9267657886268177,
    2.0195732032038145,
    1.274736525501269,
    2.868480657472576,
    2.5287078271760626,
    2.218217606198544,
    1.6805461454273294,
    2.26166277607017,
    1.6894560265488123,
    1.541600255339591,
    0.7303045408467572,
    3.012734845604795,
    3.221495698121811,
    3.478128338539724,
    3.4812267230969525,
    2.789106034273824,
    2.9066844724327945,
    3.233278457287695,
    3.116556384368278,
    3.256536251388128,
    3.35018435085009,
    3.4957209701216163,
    3.4001690443208505,
    2.988723599529046,
    2.9910133913532464,
    3.1460413531068534,
    2.923569890477145,
    3.5739234847498524,
    3.7600453342324904,
    3.6367492413290767,
    3.632819075142956,
    3.087425692811112,
    3.2243441500654626,
    3.1450906792468327,
    3.075610531074428,
    3.8065840557947475,
    3.8623411252330797,
    3.601731776845778,
    3.498692242787456,
    3.29686714304499,
    3.3155139943556335,
    3.040775594740585,
    2.874780785756475,
    3.281385343270121,
    3.177773680985444,
    3.6860716368016293,
    3.397705446879166,
    3.0429101553384195,
    2.877540595997809,
    3.38442746890608,
    3.014858989477318,
    3.291990829975079,
    3.076583786056684,
    3.4949345547357984,
    3.105304473845945,
    3.0036415779924797,
    2.720003837397727,
    3.112831170669368,
    2.6314915729543875,
    3.7670865565792653,
    3.6638209755196396,
    3.7655280892151723,
    3.482589344880836,
    3.2748286243905858,
    3.120092066062589,
    3.2406365986134613,
    2.883882734667152,
    3.728951832972214,
    3.521247962324785,
    3.507238082620024,
    3.1353710767211895,
    3.211948724573694,
    2.954316099743142,
    2.9413052626358693,
    2.492882434781896,
    3.076214510622987,
    3.2457362439846227,
    3.2892319292803824,
    3.2837678400327825,
    2.6178602217199343,
    2.6806129768214646,
    2.7742185295535196,
    2.6396642808387183,
    3.2526511197556554,
    3.300524117953178,
    3.258037296429233,
    3.1501197508490795,
    2.748769546846651,
    2.6927837483641515,
    2.6494799936195497,
    2.4075609283806854,
    3.5014439842927096,
    3.6616776798669237,
    3.353299319037411,
    3.3315697223370533,
    2.8260717544792504,
    2.9096385455877143,
    2.6509438763019584,
    2.5325926330372264,
    3.675055699975216,
    3.7129273070979645,
    3.2786631354832068,
    3.165903797156991,
    2.9770209624335697,
    2.9457590469420225,
    2.5107741746181924,
    2.3018679189922575,
    3.317078220965227,
    3.197234199426446,
    3.497793484392805,
    3.2120043694346703,
    2.829679364831705,
    2.6177380837588022,
    2.913634009313629,
    2.517445077671807,
    3.2816947670731222,
    3.04174468810632,
    3.248355817676882,
    2.8626722512161002,
    2.733138915195438,
    2.4035570603166856,
    2.5920558572819283,
    2.088518344722611,
    3.6743046099139294,
    3.563348652454952,
    3.490472962161993,
    3.194091472951502,
    2.9860534161670533,
    2.7661690408272763,
    2.741461457565289,
    2.31105464257415,
    3.6043502089843775,
    3.3894313976239294,
    3.1863939395002445,
    2.808365447469801,
    2.881709677919007,
    2.560139235042653,
    2.393405459561982,
    1.8765773433875637,
    3.0130775887613286,
    3.0820262453909706,
    3.411518147868173,
    3.3432446058956065,
    2.5839570860914947,
    2.58971812206334,
    2.967704020766182,
    2.810657964019655,
    3.1754101728878643,
    3.1347811454624437,
    3.33988520463054,
    3.15894862465462,
    2.7025118857288573,
    2.5903917501650415,
    2.8016173305022365,
    2.51959651736525,
    3.4522178649974995,
    3.5523198996501417,
    3.5224607725269785,
    3.450495732080979,
    2.7295264583653847,
    2.807335849021201,
    2.801212333833765,
    2.69033413653384,
    3.61894206427769,
    3.59430358448489,
    3.4323361457022434,
    3.2590801135827334,
    2.8755517360513307,
    2.8290675191045906,
    2.649313854542227,
    2.425844916820213,
    3.2418978421003954,
    3.0053335571950615,
    3.584584143353216,
    3.224536056466701,
    2.8188852443183663,
    2.542062610214952,
    3.110684194927213,
    2.6933760270330778,
    3.1799208379884947,
    2.8432967340703303,
    3.3164954952534704,
    2.846423557891858,
    2.6926216637121114,
    2.3100359154883696,
    2.7584805092619997,
    2.218067771980468,
    3.6171649984128873,
    3.4092291552004923,
    3.622448052829164,
    3.2441869488200252,
    2.8989931361485257,
    2.6646649646571303,
    2.8816383846216453,
    2.4579094411748486,
    3.524511404251049,
    3.222833424542764,
    3.321588908658686,
    2.8626144731844465,
    2.7730082338080475,
    2.4406339389756058,
    2.535456385225869,
    2.015790227996712,
    3.0363068566467506,
    3.057885946072983,
    3.19695752589083,
    3.105313450203978,
    2.397551994254302,
    2.3457688392089437,
    2.5035865265988018,
    2.319491545621749,
    3.1306068815241854,
    3.0373165492614653,
    3.087974942193744,
    2.88302278858922,
    2.4428801503151543,
    2.271372410073536,
    2.311313932846117,
    1.9994813855883784,
    3.3443125618993483,
    3.447444268962029,
    3.2086772717097753,
    3.141388264552305,
    2.444290145004942,
    2.4968061353311723,
    2.2845032482765317,
    2.1465565677550456,
    3.4481452294145356,
    3.435092642389992,
    3.0855239394896077,
    2.9269830182401715,
    2.5284224846859535,
    2.4628823961054245,
    2.1046098271707736,
    1.8611891099824018,
    3.2411807753293735,
    2.9722628254300645,
    3.370876704565755,
    2.995955296440182,
    2.59352001361544,
    2.2595072903694273,
    2.632547253086911,
    2.1764731966247988,
    3.133360073188615,
    2.7587034663428573,
    3.058632932900161,
    2.5771842373025686,
    2.4072216965557747,
    1.9702997733691072,
    2.243899258304646,
    1.6693049961895372,
    3.4895361682257255,
    3.29431208994908,
    3.3162882144378476,
    2.9380977985502,
    2.5874809861858536,
    2.299084852690582,
    2.359934542309753,
    1.8673924633879784,
    3.3628467583054715,
    3.076227108193567,
    2.9778093865916953,
    2.527654016424594,
    2.418092486769781,
    2.0344247161229045,
    1.9740400093523822,
    1.391246955784252,
    3.48100249067255,
    3.570086006385319,
    3.6278121398646856,
    3.4697103738754937,
    3.222739611562213,
    3.226478137028119,
    3.3273644439740995,
    3.085677316933362,
    3.5244272866076805,
    3.503614829226377,
    3.5026309961872224,
    3.249487665196856,
    3.1677674606850212,
    3.069954728678134,
    3.0780860916122617,
    2.7327319322789494,
    3.409165961639193,
    3.4831531785395775,
    3.112598153313887,
    2.9876597209394573,
    2.97769364214828,
    2.9853843291526827,
    2.623844573915348,
    2.4241763700616925,
    3.3584075950693797,
    3.3253232495892173,
    2.888677653017987,
    2.671623998030122,
    2.8700228283695237,
    2.776865189829601,
    2.2833662942192174,
    1.9720935218267388,
    3.6695389341129916,
    3.4280646257719223,
    3.7264509748027095,
    3.2953044174705974,
    3.3766741291657842,
    3.0752291024335006,
    3.3624199387311844,
    2.8737044459663093,
    3.4444140470294182,
    3.1265490583543967,
    3.36274268839305,
    2.848967210505034,
    3.0877814676621185,
    2.702481712228807,
    2.9322126309501666,
    2.3474990448762885,
    3.4670803581193392,
    3.253498839002744,
    3.116307969148532,
    2.719520083997301,
    3.035633258283057,
    2.7405297103438104,
    2.6002938960670745,
    2.0935473506006,
    3.1793914652370856,
    2.8921806488018413,
    2.6813672084124676,
    2.2191580928619627,
    2.703838399991066,
    2.3363533304949393,
    2.0978488267353015,
    1.5103557874241984,
    3.4854127551218452,
    3.5129550502254467,
    3.4025935161209193,
    3.2359799564182135,
    2.96513268127068,
    2.8989648139709647,
    2.877789635618527,
    2.6145724730018696,
    3.4869025213669844,
    3.4084039621596114,
    3.2125212283705578,
    2.9602047359931203,
    2.8937016307571195,
    2.7250972288533326,
    2.59502944471118,
    2.2364073410931358,
    3.277345379450318,
    3.29028727056489,
    2.805383617459629,
    2.6283247607169686,
    2.643887664402226,
    2.5500383546820204,
    2.145747916290162,
    1.8588551143148333,
    3.2032399914261767,
    3.116918461768819,
    2.4995276383502647,
    2.2471628537893613,
    2.5207624160484925,
    2.32753437335651,
    1.7512726727482466,
    1.3713868395373279,
    3.643838581392738,
    3.368506956150285,
    3.5010904021516973,
    3.0690355597999055,
    3.0805489429054886,
    2.705457305425371,
    2.8982573613218445,
    2.3724777390004164,
    3.391093177708631,
    3.039117375021612,
    3.063192432879915,
    2.550400191283263,
    2.7739772230404274,
    2.318503636580633,
    2.415577034365464,
    1.8004443571233815,
    3.320406788719466,
    3.059575227530777,
    2.805789033695257,
    2.360386260088533,
    2.6720186630757405,
    2.2544426491150005,
    2.1073276926555056,
    1.493437673673983,
    3.014426677149185,
    2.6866691615689104,
    2.2770228136098103,
    1.778348129598226,
    2.3230829995439684,
    1.841568560163953,
    1.5307393770703548,
    0.8600074658399997,
    3.3990277544521335,
    3.3620415032400324,
    3.4948954958127594,
    3.2766758980539454,
    2.896850688723549,
    2.8016839712567387,
    2.9486040828123756,
    2.6741110056267714,
    3.3753313660993056,
    3.229095249191569,
    3.2615065423721266,
    2.9394641064477556,
    2.785541429039579,
    2.5768404442613297,
    2.5977496596698533,
    2.2007269242361454,
    3.1425201110337744,
    3.0910536028837847,
    2.8501386929787222,
    2.6212957838040536,
    2.4508778996962675,
    2.3586387977004666,
    2.1024049381265852,
    1.814100652897511,
    3.0313967276803555,
    2.8823108998557054,
    2.531520267516071,
    2.1956465382287464,
    2.283908197109551,
    2.0930399078601596,
    1.6630498756313454,
    1.2320436385249356,
    3.5293543259837388,
    3.1813608742506823,
    3.5415209674299293,
    3.0600375719704553,
    3.013716959343756,
    2.6269574970457175,
    2.962459254502291,
    2.43960085746812,
    3.2584482728988915,
    2.8354201796264267,
    3.0910169185861074,
    2.5200248230231104,
    2.674467564914319,
    2.1993411241358483,
    2.4401740861229193,
    1.8070736216587946,
    3.1674902964343943,
    2.82435157009992,
    2.820349367536493,
    2.302966732151856,
    2.4900883927054025,
    2.0785632358241974,
    2.064089113046051,
    1.437976340414406,
    2.8327742818090504,
    2.433119751000591,
    2.3039898406699297,
    1.7233084884928074,
    2.1100265723512996,
    1.6393016500618451,
    1.4729385858491133,
    0.7471276152384227,
    3.3546617735817224,
    3.253454142682692,
    3.2389618277729433,
    2.9893491653769773,
    2.613273234001757,
    2.4572184770490075,
    2.4910387912021665,
    2.1836288761148066,
    3.291624998319686,
    3.0862628262826086,
    2.9530919419144244,
    2.6140457766705762,
    2.4842081991074068,
    2.2141324250601144,
    2.1128119856085164,
    1.694169086217058,
    2.972557790226105,
    2.867360792772514,
    2.516122977987335,
    2.225425520866205,
    2.079872890252859,
    1.8540465485068647,
    1.5984378142915552,
    1.1691170330943699,
    2.828512948451821,
    2.634265808125087,
    2.1131616888264952,
    1.7345748232704619,
    1.8879367383739412,
    1.5672170243306653,
    1.096808982358175,
    0.5454512752845462,
    3.4566882206490197,
    3.065293893341103,
    3.282679664132992,
    2.777359797079402,
    2.696698479826807,
    2.236023490868339,
    2.4888836846923272,
    1.9167311693138775,
    3.162680289661483,
    2.6980341058133943,
    2.769943384228802,
    2.1822704210851342,
    2.3411285708748837,
    1.7974193293978709,
    1.9223488341557884,
    1.2512333964816862,
    2.9794479168598498,
    2.5950661223683076,
    2.479190863462459,
    1.9051874902367971,
    2.0892215790251534,
    1.5005640454634315,
    1.5437074001440099,
    0.7370636936784568,
    2.616237539924364,
    2.1880989504812804,
    1.8624236293824312,
    1.246299450087549,
    1.6840793309248776,
    1.0528135179776847,
    0.8707040306669847
  ]
}

{
  "name": "normalizer",
  "dtype": "float64",
  "shape": [
    8191
  ],
  "data": [
    2.227991387814735,
    4.026613796272864,
    4.431463337834851,
    6.2290497563841285,
    4.39087217709055,
    6.1892618897536655,
    6.544288767883705,
    8.341843798131048,
    4.016327058814954,
    5.810585116061342,
    6.084174222663274,
    7.872931746743525,
    6.158937833411753,
    7.952348370284429,
    8.195264583251099,
    9.983896059349483,
    4.464390965431714,
    6.206557607797869,
    6.666053355275746,
    8.407844284006867,
    6.58781112502088,
    8.322378267335377,
    8.728470275042001,
    10.462921488092965,
    6.23946658381392,
    7.969213220463538,
    8.307077004100783,
    10.02961132266782,
    8.328696189523388,
    10.043627601019786,
    10.363101039545327,
    12.074812908802594,
    3.8794624495244507,
    5.673210959872883,
    6.081473068777469,
    7.874403615009939,
    5.982708698482841,
    7.776382569319143,
    8.13459919868328,
    9.92719176674531,
    5.666061777915483,
    7.454817417734441,
    7.733486733867895,
    9.516996384477949,
    7.750737222095392,
    9.539468512123847,
    9.785400174017957,
    11.568720121520869,
    6.1144961025893725,
    7.852927514588183,
    8.314854014223755,
    10.053018096988708,
    8.166736067794247,
    9.90029254681798,
    10.30396876597592,
    12.037458381682304,
    7.888260739661268,
    9.613417708794564,
    9.95542001869969,
    11.673638820730739,
    9.906506033837562,
    11.620773717638276,
    11.938523642510095,
    13.34610263759751,
    4.086892432390417,
    5.818087933522709,
    6.253817172506459,
    7.972835663763856,
    6.249337373607821,
    7.9799440898215765,
    8.365005819623118,
    10.083911261282221,
    5.8599403602168,
    7.590546837464479,
    7.905152510331317,
    9.616715353234671,
    8.002537332937923,
    9.732264275721421,
    10.014412970565136,
    11.72594724572962,
    6.284055509984206,
    7.981639802399392,
    8.440574233349867,
    10.130429365402957,
    8.406227041789448,
    10.097350577579178,
    10.488974754356185,
    12.176146393288132,
    8.032023142397932,
    9.724959350694133,
    10.07612299205309,
    11.751114207502118,
    10.114491823786254,
    11.796620884407757,
    12.115650663868806,
    13.21419091617705,
    5.717158184898636,
    7.447946440413773,
    7.877478518959196,
    9.596436844034711,
    7.814745699611517,
    9.545195947725537,
    9.930393804910754,
    11.649156155619588,
    7.485406403859279,
    9.215498709179894,
    9.527532651314935,
    11.238946277080965,
    9.567449562200455,
    11.296995303234793,
    11.579292765011573,
    13.290607840225345,
    7.914313327298359,
    9.611430458456324,
    10.064019751575328,
    11.75374057212509,
    9.966265010647028,
    11.657324838761433,
    12.048802914914265,
    13.263981059425532,
    9.657141126478923,
    11.349249067865651,
    11.698046795459396,
    13.372693371116151,
    11.674529010941082,
    13.35659511202324,
    13.381429986779336,
    11.57138917796421,
    4.096050409407623,
    5.863367230962364,
    6.28350399414026,
    8.050819129670044,
    6.2402430242114875,
    8.004940685055582,
    8.360443118978953,
    10.124814807640142,
    5.870125014914755,
    7.627428927006921,
    7.931736682197322,
    9.685974479898528,
    7.984859950486493,
    9.736051582858344,
    10.004863326699077,
    11.754836237059965,
    6.23987482999393,
    7.973516366205884,
    8.427225085873369,
    10.160850410683862,
    8.35928883821491,
    10.083578085468485,
    10.477049411173619,
    12.20023591770571,
    8.008584941031735,
    9.72688566669676,
    10.067601375218452,
    11.780666958136123,
    10.090174417589651,
    11.789486368904523,
    12.11017770714699,
    13.035064465682886,
    5.746730656766473,
    7.509835402606014,
    7.9330424597149225,
    9.69614395020357,
    7.825716839969193,
    9.587889789397872,
    9.942109910919829,
    11.704093264557073,
    7.5193985762268785,
    9.271657990267206,
    9.58067614900516,
    11.330038661355054,
    9.569766417878963,
    11.318748692231338,
    11.586522844029528,
    13.333991333022752,
    7.889778301709795,
    9.619846010876383,
    10.075957441154578,
    11.806023838474763,
    9.93660197972062,
    11.660195655400944,
    12.049636566772737,
    13.152811677939976,
    9.657274886722487,
    11.371090153427403,
    11.715888087452218,
    13.424692220069513,
    11.665926858300656,
    13.36491017123669,
    13.230705668827555,
    11.411388939668313,
    5.947433711329446,
    7.6541091380152455,
    8.089678540316815,
    9.78998492755387,
    8.091606591298019,
    9.795147130456971,
    10.160564902177386,
    11.860045308680412,
    7.701452574360525,
    9.404918036935701,
    9.735405007286875,
    11.425028387997685,
    9.815252001104078,
    11.513504462263707,
    11.801688412967367,
    13.489775639414447,
    8.059484104427154,
    9.748179048027868,
    10.199723313923954,
    11.883122362886887,
    10.177591433640627,
    11.85817117355035,
    12.23328722269689,
    12.99307112604751,
    9.800434546423629,
    11.482628382130418,
    11.834350085225843,
    13.242674091820259,
    11.874584117183225,
    13.261693321571443,
    13.161107700464783,
    11.249611766706643,
    7.577582496647725,
    9.283924579809144,
    9.713288292618824,
    11.413508069543742,
    9.653090607589501,
    11.356627528581202,
    11.721826938645538,
    13.421307026101317,
    9.326911844402836,
    11.029805383549618,
    11.357663328039415,
    13.047066887664666,
    11.376679203720077,
    13.074930376416482,
    13.362740169393676,
    12.046689199075669,
    9.689573183113051,
    11.377865337053432,
    11.82316568477807,
    13.410717349895556,
    11.736122032240026,
    13.260255397609168,
    13.25738310678549,
    11.34986130883614,
    11.425531345356557,
    13.106917928478229,
    13.456261947438637,
    11.667353295602336,
    13.433090000676719,
    11.618680892183644,
    11.518228182444734,
    9.60639006995858,
    4.320941091876671,
    6.119554019661646,
    6.3038768962502445,
    8.10105774341703,
    6.374738679317306,
    8.173111597550534,
    8.355778360468456,
    10.15278473298302,
    6.049906401682229,
    7.843446220980233,
    7.95465336237039,
    9.743201271085363,
    8.101866102868525,
    9.895008517466348,
    10.005743611256818,
    11.793999253572974,
    6.553279831903663,
    8.294803548574919,
    8.525961371211022,
    10.267459572249722,
    8.570987016295419,
    10.305356119705337,
    10.538249712536015,
    12.27260478253315,
    8.260899108224917,
    9.985711037370038,
    10.163085939116526,
    11.884725156584055,
    10.271195924023626,
    11.98543767964916,
    12.171286154862397,
    13.019295711556177,
    5.9699761626960886,
    7.763721471979188,
    7.9527920967434165,
    9.745172319363027,
    7.962212553765481,
    9.75588109601617,
    9.943235328746717,
    11.735494423070152,
    7.6982258613062635,
    9.48645147731875,
    9.60297212165306,
    11.386164585928308,
    9.68917200180875,
    11.477372273378535,
    11.592954691511641,
    13.376080102729151,
    8.200578304157993,
    9.938571869560246,
    10.173234075396259,
    11.911206092755384,
    10.144836621251686,
    11.878273305767166,
    12.111529258401198,
    13.145590556891873,
    9.907849446648376,
    11.62857796689606,
    11.81003299150629,
    13.523884303021447,
    11.844845434013877,
    13.49016375655978,
    13.151164997242645,
    11.396522076485619,
    6.149945456832314,
    7.876204658371332,
    8.12052641692878,
    9.839457689250706,
    8.199798594574249,
    9.925991977362047,
    10.167436352584701,
    11.886148597628498,
    7.87372329046021,
    9.5976461080587,
    9.77023694537639,
    11.48159329170099,
    9.92110515118027,
    11.64500545009411,
    11.816127257005089,
    13.506136242307033,
    8.346784518089759,
    10.038364993321427,
    10.298512240769371,
    11.987293449907245,
    10.349927394641798,
    12.038951229202436,
    12.291303702903608,
    13.004014722542868,
    10.040740056941832,
    11.72252794462631,
    11.93067102023543,
    13.318617280501421,
    12.0319798062568,
    13.362865224907736,
    13.065299215322364,
    11.253078449139231,
    7.772332419360131,
    9.498457965865294,
    9.741501300454583,
    11.46038226686851,
    9.76449525175596,
    11.490461032500566,
    11.731696093109239,
    13.450248600614694,
    9.494125922461429,
    11.21783372409653,
    11.390123985975178,
    13.101354170362953,
    11.484909714692192,
    13.208515502057447,
    13.379817782322359,
    11.863940657379453,
    9.969171154282353,
    11.660604685062069,
    11.919423848306694,
    13.466161918629322,
    11.908698781393545,
    13.352977940103205,
    13.173813502080659,
    11.360725943624548,
    11.661007087171438,
    13.34244336306098,
    13.548356590922664,
    11.73729775915436,
    13.527498971150665,
    11.719526881750278,
    11.422917594826028,
    9.609666243737959,
    6.181848152190916,
    7.9485508664597795,
    8.113461440331493,
    9.879818687514085,
    8.223346157624125,
    9.9880344811673,
    10.148014214857138,
    11.912123114803142,
    7.885580604521427,
    9.638518264645331,
    9.757316764932288,
    11.509764308661554,
    9.922174647766656,
    11.671805473840148,
    11.789853419832896,
    13.420500508324611,
    8.324648332155252,
    10.057125699358547,
    10.256091788717923,
    11.988053469374611,
    10.340807931634897,
    12.065027127504743,
    12.264416964869445,
    12.870011305048429,
    10.02004978170008,
    11.730748399088824,
    11.89143459191741,
    13.175010491090973,
    12.02745698346891,
    13.23502931692638,
    12.907334036594696,
    11.084445754300255,
    7.829704492768595,
    9.59240691772427,
    9.761317721677115,
    11.523671088510316,
    9.804803325712646,
    11.566918602551333,
    11.728493624955869,
    13.490128941979776,
    9.533051011317294,
    11.281438213102499,
    11.404741608703851,
    13.152605017358741,
    11.503603060607892,
    13.250677877428448,
    13.370305916673086,
    11.805795755555774,
    9.971581053937552,
    11.700765844375429,
    11.903024410156851,
    13.391971947548747,
    11.91334020890162,
    13.249542041330306,
    13.062916412284133,
    11.243499816971617,
    11.666730173887924,
    13.37358057388801,
    13.43908899479198,
    11.61528321511381,
    13.394477711863122,
    11.608677423851486,
    11.28220595382134,
    9.45792199688704,
    8.006128072008309,
    9.705181424096745,
    9.91789527030423,
    11.61579976372699,
    10.042025165830912,
    11.740691128045444,
    11.943631416855567,
    13.462359114926002,
    9.701749507143209,
    11.392401917868753,
    11.559593862699938,
    13.245721553832967,
    11.731137193521377,
    13.420857851905387,
    13.456486429908962,
    11.720620884474968,
    10.118100661784574,
    11.799191721368452,
    12.027402624258462,
    13.152937855813057,
    12.11974796822508,
    13.077411813690702,
    12.972824289727255,
    11.065591248301125,
    11.799767823542782,
    13.466982848608884,
    13.2869587200397,
    11.3770022278967,
    13.323150450555516,
    11.434704130356801,
    11.19161285915956,
    9.279998550084205,
    9.628142944775487,
    11.327142695757937,
    11.538818347621973,
    13.236689756054389,
    11.602822588656974,
    13.301488086188282,
    13.504427636853958,
    11.820470836182604,
    11.322068517715774,
    13.012558074844666,
    13.179471483841994,
    12.185908181165834,
    13.291715031264847,
    12.201999433377866,
    11.816780522424562,
    10.078425207912918,
    11.740035959116518,
    13.421043096774877,
    13.47691745241326,
    11.571032053584704,
    13.322151879756778,
    11.433449636197127,
    11.329206256318603,
    9.42162758060678,
    13.419830940740033,
    11.921774682159453,
    11.705203135070732,
    9.794244203162886,
    11.679532970425566,
    9.790721252112787,
    9.54798704788745,
    7.636014211275934,
    4.129610275829667,
    5.9158943786058344,
    6.326006831660974,
    8.110157175337658,
    6.289083869306812,
    8.074755694843903,
    8.437653934035414,
    10.221675362179992,
    5.90393567288538,
    7.687828872747102,
    7.970832718639652,
    9.748402863566278,
    8.045244531475742,
    9.827934495449556,
    10.081059027370518,
    11.858379910464237,
    6.3632278169863135,
    8.095521923336465,
    8.557195193010674,
    10.288454065455426,
    8.484559672421462,
    10.207871695234816,
    10.619317033153827,
    12.342628603291436,
    8.121618432034618,
    9.844738497846699,
    10.188365317260573,
    11.90356380055265,
    10.210668963923567,
    11.918377522064107,
    12.244351643248446,
    13.126316656276039,
    5.7809911639382054,
    7.562489578353267,
    7.975816474244971,
    9.755501331734687,
    7.8799631898180245,
    9.66145924722606,
    10.027220531079113,
    11.8067648712842,
    7.553392202378177,
    9.33202300310739,
    9.619835517442247,
    11.392419030802554,
    9.636121981689605,
    11.414624864987196,
    11.670346591867851,
    13.442859997538932,
    8.013287085762398,
    9.741888656804232,
    10.20586736368936,
    11.93362062355623,
    10.062850161328349,
    11.78535763157197,
    12.194453365457877,
    13.205673945888998,
    9.770228420745777,
    11.488908416200553,
    11.836498886905215,
    13.540698840305796,
    11.7880867192594,
    13.417593006558281,
    13.25229872684657,
    11.505877888717364,
    5.949068317883999,
    7.678154978895421,
    8.114791037403274,
    9.831104614140664,
    8.108516564455421,
    9.836821627214704,
    10.223840117320577,
    11.940100793360974,
    7.714229747171048,
    9.442966218291867,
    9.759387687290161,
    11.469133713503322,
    9.855361049719443,
    11.58306680966192,
    11.866923896830897,
    13.57666176470426,
    8.146230588155323,
    9.841536431494475,
    10.301531108661054,
    11.988625924738766,
    10.26512336089027,
    11.95324733980491,
    12.347651787027036,
    13.041367834425115,
    9.885940187006344,
    11.57731532337678,
    11.929998268554982,
    13.311082767402914,
    11.967268988731522,
    13.260332319943325,
    13.160909252649505,
    11.340558998486655,
    7.57830408015305,
    9.306891989081823,
    9.737649257964488,
    11.453865373095248,
    9.673730930081053,
    11.401854112155995,
    11.78903728852529,
    13.505128903590432,
    9.33913235435488,
    11.067283899500673,
    11.381172890322778,
    13.090730749587633,
    11.420140975085987,
    13.147644456711703,
    13.431674554928229,
    11.9545963699527,
    9.775458167076591,
    11.47019482621447,
    11.924177980629604,
    13.431899526940139,
    11.825011083699419,
    13.250496581341395,
    13.216540450908855,
    11.397095079234713,
    11.510517877542727,
    13.200984469074053,
    13.551353849399348,
    11.734921581988926,
    13.436124879854571,
    11.616144201332318,
    11.517904854153583,
    9.696282824257192,
    5.997338842547225,
    7.750396346020999,
    8.178036136677019,
    9.93085784251966,
    8.137554382417596,
    9.886652525989618,
    10.25364273209661,
    12.002692257572466,
    7.75773113657889,
    9.503959900930848,
    9.818369728072408,
    11.56090908792073,
    9.871117366955083,
    11.610168633702651,
    11.89064868046383,
    13.526805262045855,
    8.136788238873756,
    9.859137617885361,
    10.31747904797906,
    12.039556970020108,
    10.253710111044898,
    11.964879539232026,
    12.366811655205206,
    12.941569164489264,
    9.889830395151439,
    11.600552474866795,
    11.948186529513055,
    13.182288120594713,
    11.971122807103107,
    13.205152764234866,
    13.007204276317417,
    11.189563324403363,
    7.647914435083289,
    9.396864105916833,
    9.827371380663845,
    11.57617132277286,
    9.721833314792779,
    11.46891355674544,
    11.834455944743471,
    13.581525554745959,
    9.406727848976866,
    11.148149893030162,
    11.467004071677207,
    13.204924437937393,
    11.455037656337097,
    13.192266870217377,
    13.471422302313414,
    11.915160027029085,
    9.786632899785335,
    11.505465655502654,
    11.966074639233469,
    13.378279877080235,
    11.830237280453828,
    13.228313801603974,
    13.135101233297815,
    11.318044497906431,
    11.538323793723322,
    13.244722234114228,
    13.4424151883196,
    11.626208287453045,
    13.36749651144153,
    11.58169435797138,
    11.38534968866596,
    9.565867091669528,
    7.807671275658092,
    9.511088975709091,
    9.94925666441009,
    11.645914397338931,
    9.947695313271366,
    11.647311860911405,
    12.016649243129269,
    13.517033451713095,
    9.554978314938971,
    11.25584060904735,
    11.588795622392244,
    13.27594035285001,
    11.666644765911162,
    13.361744163432249,
    13.554960519336898,
    11.815301578496491,
    9.91939742419294,
    11.605103367517732,
    12.058913966373646,
    13.120938203099637,
    12.033667016018338,
    13.038290335947206,
    13.043274527407798,
    11.12766477299888,
    11.652951826161418,
    13.333073008803979,
    13.284366589188668,
    11.368649989343053,
    13.283540654016488,
    11.390833147769607,
    11.29362607783776,
    9.375149019984425,
    9.436828789654989,
    11.139810360002526,
    11.572039233064347,
    13.268557466015835,
    11.509096852752641,
    13.208712182388831,
    13.577827962076855,
    11.873759927381084,
    11.17986843050559,
    12.88006937693944,
    13.21043546614776,
    12.181471866548083,
    13.228001531980444,
    12.135697283211032,
    11.914444990783885,
    10.172016218884263,
    11.548506846453513,
    13.233703117219868,
    13.4582728765328,
    11.54384857499939,
    13.28700280245203,
    11.393842139561269,
    11.399148960549836,
    9.4829752984171,
    13.277518088359129,
    11.807017401363566,
    11.708715233447803,
    9.791378582088264,
    11.639858547177042,
    9.746383831999928,
    9.649391235648409,
    7.730384067435221,
    6.213820350550964,
    7.999780851218768,
    8.195493860059557,
    9.979511340760098,
    8.267249282418705,
    10.052857432450727,
    10.247103983224132,
    12.03085976930572,
    7.934158138569895,
    9.716785231336397,
    9.838904979152504,
    11.616422033866103,
    9.985929076131391,
    11.768063325437252,
    11.889806533308949,
    13.362183015397536,
    8.444141606890296,
    10.174953918331365,
    10.415020714352853,
    12.145703780960151,
    10.461790393823586,
    12.18509541044263,
    12.427298419926695,
    12.934474711953762,
    10.140813105062824,
    11.858097590904293,
    12.042974148801656,
    13.243017478618466,
    12.151084191278667,
    13.271668376231435,
    12.931742400055485,
    11.176155696967603,
    7.86259407314866,
    9.643920702126607,
    9.844128854706936,
    11.623593463593657,
    9.85413968516937,
    11.635444152663842,
    11.833985730614806,
    13.4830101695207,
    9.582083566489692,
    11.359703738913044,
    11.486829689790829,
    13.25930041812664,
    11.572555964904481,
    13.350172516765255,
    13.445658807452165,
    11.747488639574367,
    10.091255822122237,
    11.818697148441501,
    12.062100094020515,
    13.417685636369313,
    12.035328446784714,
    13.290065358964764,
    13.067976152383736,
    11.312118328091717,
    11.787490999289455,
    13.50088689726715,
    13.437292567251607,
    11.683130970176585,
    13.391370538358949,
    11.650135604791213,
    11.309222035189483,
    9.553356871500128,
    8.009667566370807,
    9.733303151119758,
    9.980186517462949,
    11.696354928213639,
    10.058193980552309,
    11.78179930326027,
    12.025805651495897,
    13.37973146339966,
    9.727450966920227,
    11.449228511350446,
    11.623458128717385,
    13.332937367276237,
    11.773855731205133,
    13.495625934370862,
    13.356096289811862,
    11.629014853455779,
    10.206501945723588,
    11.895207712615694,
    12.158171903840792,
    13.178944862593493,
    12.2081357145252,
    13.130181538289591,
    12.957185336136535,
    11.135889046381035,
    11.894178340303242,
    13.494817616843509,
    13.262400408352974,
    11.441097025343714,
    13.309022224369974,
    11.490230044165825,
    11.193833548917835,
    9.371692974586823,
    9.63136973091693,
    11.354823108010548,
    11.600496376736425,
    13.316583111782412,
    11.622665482780818,
    13.34600802629881,
    13.458995462279379,
    11.736151943373237,
    11.347392328926057,
    13.068910314069507,
    13.242851318597449,
    12.089985845799983,
    13.337518237510697,
    12.099808229557517,
    11.715409489747953,
    9.985325505344651,
    11.828203685483578,
    13.516709124323622,
    13.417641140243747,
    11.597179979927052,
    13.301615219746228,
    11.485529807774336,
    11.31390440659321,
    9.491234835515584,
    13.513995679104294,
    11.917667156027875,
    11.678719867346093,
    9.856794530929864,
    11.665696812117826,
    9.845563387821368,
    9.550507452252306,
    7.727011609087615,
    8.073842356476387,
    9.82514637884196,
    10.004691990018747,
    11.755800049903687,
    10.114756868049765,
    11.86357143987644,
    12.03880079363277,
    13.317700738271926,
    9.769741374756931,
    11.510206920123952,
    11.641472983050782,
    13.381451120272432,
    11.806090848431499,
    13.542866746020847,
    13.285953482240908,
    11.574220192103551,
    10.212746342137372,
    11.93268446382357,
    12.143354525261815,
    13.115982253703011,
    12.228793447921555,
    13.04132345737082,
    12.853351969684748,
    11.035001695445892,
    11.898579326397618,
    13.455036430605647,
    13.151169236490892,
    11.328308409058765,
    13.177770833337672,
    11.39289307172218,
    11.059550021237618,
    9.236596103099629,
    9.721387306783631,
    11.468956443114175,
    11.652236068643926,
    13.39960549349642,
    11.695431012015174,
    13.442080211256496,
    13.414912587879844,
    11.70458660934103,
    11.416801218404377,
    13.153029624233824,
    13.288486396148988,
    12.06400962723583,
    13.386761124217047,
    12.063553917384212,
    11.67138104235369,
    9.959488862953595,
    11.859452825744643,
    13.545700193215454,
    13.375982060921203,
    11.557222023330011,
    13.200385421333731,
    11.414980736701644,
    11.228269904700797,
    9.408488095776304,
    13.544956998068036,
    11.897557583760353,
    11.592272498014637,
    9.768416753240972,
    11.553212851590416,
    9.766535893561766,
    9.43442016056068,
    7.610071523067702,
    9.863450762567547,
    11.558353933018314,
    11.775137750498262,
    13.468937378577447,
    11.897295969060984,
    13.59162565964905,
    13.336572110120358,
    11.600519417061333,
    11.554456346237291,
    13.241932755397759,
    13.411244943481975,
    11.889587827073647,
    13.582400813356923,
    11.97608418344294,
    11.581651816414901,
    9.840885398979559,
    11.975072329286288,
    13.278034456614428,
    13.199011164119357,
    11.286226403974482,
    13.109723287525087,
    11.210887168037644,
    11.113143948264948,
    9.197303711741187,
    13.521353753439232,
    11.6294180096619,
    11.41471287554913,
    9.498429900936598,
    11.461276130992298,
    9.561958345703033,
    9.316777112859297,
    7.398299365470246,
    11.484845531101719,
    13.179655951630235,
    13.39541819211458,
    12.033735254977953,
    13.457990245829677,
    11.96385549167642,
    11.69597115146343,
    9.956919918824411,
    13.174330685113956,
    12.381394341522656,
    12.037875428552429,
    10.305492601306337,
    12.072796356207274,
    10.33242047846736,
    9.940819960628524,
    8.197186414179463,
    13.591032208569912,
    11.696731326042018,
    11.61646966840694,
    9.70203121200476,
    11.46502608247508,
    9.565601693554173,
    9.468386482813306,
    7.552006759532286,
    11.942796944180929,
    10.04808301039543,
    9.830551061368428,
    7.912862488377501,
    9.816577330710938,
    7.916672609915459,
    7.672010097171368,
    5.753000423661339,
    4.095603063186601,
    5.890914302489399,
    6.275915287307161,
    8.06914438968462,
    6.254630869262343,
    8.049524479450781,
    8.388461753664238,
    10.181639138831125,
    5.8582253638996065,
    7.650544332098034,
    7.918603488213045,
    9.704470014632875,
    7.999822094326403,
    9.791168426379008,
    10.029573600947483,
    11.815293808587228,
    6.312033827707604,
    8.041643441163547,
    8.492169256249744,
    10.219865179126689,
    8.423948645453414,
    10.142158378038754,
    10.550677468512346,
    12.268775318363215,
    8.067037922377393,
    9.78818428929441,
    10.126484098093748,
    11.83793287298981,
    10.15068256500636,
    11.853979314776717,
    12.179594664511457,
    13.181241747539751,
    5.73670158848282,
    7.525740866636531,
    7.91671750267335,
    9.703821517866599,
    7.839046501573211,
    9.62805253317468,
    9.96957334568074,
    11.756266171401363,
    7.498937810786247,
    9.284695325639273,
    9.55923166624937,
    11.338621006757862,
    9.58361290835517,
    11.369345472897537,
    11.610685177478278,
    13.38982524301774,
    7.952829301915987,
    9.676347529789972,
    10.132679311362745,
    11.854420896752035,
    9.998999696475169,
    11.715287598592898,
    12.120808951889884,
    13.233112718493553,
    9.707521990195284,
    11.422096397760658,
    11.766871273967762,
    13.47184308252695,
    11.723745195816575,
    13.42568759957123,
    13.288635397165109,
    11.538950483916874,
    5.929856152639659,
    7.661044929679541,
    8.083102355520234,
    9.801673291167802,
    8.088827771508411,
    9.819413049066586,
    10.193710400842427,
    11.912182889858569,
    7.683842935138021,
    9.414444828220294,
    9.72537623880451,
    11.43684337583994,
    9.825341933113876,
    11.55506830712212,
    11.834297623452683,
    13.545738828179074,
    8.087657387936638,
    9.782078643278878,
    10.235500505240669,
    11.920605631316024,
    10.194638522598371,
    11.880617137297557,
    12.274690505899965,
    13.10231047687665,
    9.825531420170122,
    11.516232200330776,
    11.866693041634752,
    13.37817916482957,
    11.897993211389013,
    13.325507387094678,
    13.229843402813383,
    11.408007642838253,
    7.540371952870438,
    9.271115351325244,
    9.689991092029658,
    11.408422780540427,
    9.637833903827072,
    11.36823526273257,
    11.742508152265437,
    13.460724919843654,
    9.292430407373569,
    11.022518615969535,
    11.331902121300534,
    13.043168515847134,
    11.374347471876831,
    13.103890477168292,
    13.383061836465371,
    12.007763215848799,
    9.696267847741275,
    11.389531730762625,
    11.839853421496347,
    13.479878294860367,
    11.742358537036182,
    13.299235557597786,
    13.265016822530637,
    11.44464147129828,
    11.431370081896214,
    13.120564848588815,
    13.470324278939184,
    11.789340810373004,
    13.445609293307907,
    11.667843247119475,
    11.572183732094778,
    9.750231578951517,
    5.958091001909752,
    7.719186393146541,
    8.125487059950913,
    9.886281669264752,
    8.096149508264673,
    9.853566690911356,
    10.201468997698246,
    11.958873420966553,
    7.709533320260197,
    9.463272399314828,
    9.764497886119864,
    11.514280698677275,
    9.822259647997399,
    11.569200281584335,
    11.837100351223064,
    13.58228435483859,
    8.0871593676373,
    9.807436886201453,
    10.253308986266287,
    11.972779942798333,
    10.194590561866221,
    11.901023594152447,
    12.299238514766637,
    12.989189428501003,
    9.836145817759967,
    11.545551344141462,
    11.886933525874136,
    13.237939564578943,
    11.912002591516266,
    13.256475416578683,
    13.06301206700201,
    11.244402689547577,
    7.598875237107813,
    9.3540057473008,
    9.766058906317122,
    11.520938092754703,
    9.675660894540693,
    11.429436986956379,
    11.77511809197553,
    13.528885429739649,
    9.350021423368336,
    11.097369378276149,
    11.404927181541044,
    13.148377317670231,
    11.400213002167956,
    13.144095847935441,
    13.410664264177672,
    11.962600027029982,
    9.727816950634464,
    11.442139584407245,
    11.893736862956878,
    13.405577292564471,
    11.768214245492835,
    13.256289338918714,
    13.163947298053635,
    11.345058161153789,
    11.476532372935353,
    13.179457301260484,
    13.478693744535274,
    11.660895605320675,
    13.399399884070418,
    11.61260387722851,
    11.421453037379163,
    9.600270961972953,
    7.781011259661549,
    9.487085822176466,
    9.91350065523292,
    11.61249913901485,
    9.918861921190366,
    11.621436566760606,
    11.982202305907483,
    13.575775251566954,
    9.520038809277079,
    11.223277566354412,
    11.551432323872246,
    13.240489411582725,
    11.63111983400664,
    13.328951054972261,
    13.616212018170376,
    11.886009618264234,
    9.86260019237807,
    11.54772626065105,
    11.994618517865533,
    13.181786056069056,
    11.964867061856161,
    13.099084127214537,
    13.103366815152642,
    11.188031808036728,
    11.593834419975925,
    13.273594097848145,
    13.352407559146823,
    11.435774330550414,
    13.344260606638379,
    11.454015661131521,
    11.360720390767188,
    9.441914073383165,
    9.391456426829222,
    11.09697631702092,
    11.519946797336816,
    13.218681396110036,
    11.4659270390522,
    13.168490213234724,
    13.528479691681149,
    11.9188418528797,
    11.128363535991744,
    12.83086525506905,
    13.157432979593166,
    12.239843817112043,
    13.178072089121093,
    12.187585831140773,
    11.98542733241943,
    10.228836182892737,
    11.471135958286508,
    13.155162781534315,
    13.504671921147825,
    11.591200177177043,
    13.331635086731772,
    11.441526906521151,
    11.445434982825637,
    9.530088008995886,
    13.199666173558532,
    11.857187852318297,
    11.762228484985682,
    9.845186456703722,
    11.686586441218381,
    9.796281327138658,
    9.702762398836764,
    7.783940884448702,
    6.161942990917841,
    7.956976990105664,
    8.14002159755393,
    9.933110761630992,
    8.215626700459417,
    10.01044623090717,
    10.191696525987606,
    11.984644050651799,
    7.877780747555281,
    9.668897272134917,
    9.781702052425267,
    11.56750361414244,
    9.929422423622736,
    11.72018754140275,
    11.832428889029192,
    13.42690450251671,
    8.368272695275618,
    10.09475749284041,
    10.338589370014004,
    12.064887874474062,
    10.384866562810116,
    12.10291018957281,
    12.350063310624492,
    12.9777322845526,
    10.068575644054693,
    11.781396658019283,
    11.970397634011142,
    13.28929539857269,
    12.078326828231665,
    13.31720930888703,
    12.98129765955932,
    11.224325034774996,
    7.8023001669792915,
    9.591151578104423,
    9.780375339591886,
    11.567276012520459,
    9.792479016310011,
    11.581152821016516,
    11.768337624055926,
    13.511751408988001,
    9.517992199879803,
    11.302703528502217,
    11.421905489528708,
    13.201185209008761,
    11.506260614375979,
    13.290883250308164,
    13.409067023771753,
    11.783479030006557,
    10.00816798698067,
    11.728881943944014,
    11.978483988721262,
    13.440615825120519,
    11.952423054706017,
    13.309549756240797,
    13.089493202789692,
    11.331737452190811,
    11.708399584582384,
    13.415067500137479,
    13.466992799934019,
    11.710608174157326,
    13.41462397548305,
    11.671580976679785,
    11.33477772125112,
    9.5770076233702,
    7.975569512647354,
    9.701576404502593,
    9.943468974674285,
    11.661900812369582,
    10.02542259158521,
    11.751363719857437,
    11.99036492038564,
    13.427433942246507,
    9.688533310755096,
    11.412376252431018,
    11.584836201626121,
    13.296063294652855,
    11.73586456075211,
    13.459684116196094,
    13.429068855474089,
    11.688127139715526,
    10.130103993363292,
    11.816258677212012,
    12.08164156239196,
    13.230392163282481,
    12.12886993569446,
    13.181001878338268,
    13.01093535860452,
    11.188459647394293,
    11.820557025340008,
    13.497955685080798,
    13.319577753443738,
    11.497538138079896,
    13.362497221773916,
    11.543425230211184,
    11.253910664243858,
    9.430806020449525,
    9.58183021725181,
    11.307623107649434,
    11.54889514539342,
    13.267201974786705,
    11.572008023735542,
    13.29760992122438,
    13.503260229818238,
    11.7688896835503,
    11.29407593844973,
    13.017648702229785,
    13.18995742799701,
    12.14062533493419,
    13.282337531322462,
    12.135585299135315,
    11.770134954143535,
    10.028608163131377,
    11.734868996824098,
    13.420326616270568,
    13.459116878140804,
    11.638173033413603,
    13.337128203984117,
    11.52167831146654,
    11.351760299099247,
    9.529084663863344,
    13.42404278497283,
    11.95942760415211,
    11.726384049383094,
    9.904343766703786,
    11.702909851605758,
    9.883703409509032,
    9.594021426245053,
    7.770742285081967,
    8.013384759591325,
    9.772401471902196,
    9.943252536609208,
    11.70208547276134,
    10.054862327281255,
    11.811781920305963,
    11.97780516271223,
    13.375774364658382,
    9.707891937164641,
    11.455435932301265,
    11.579521740993052,
    13.326521183862031,
    11.744461034060393,
    13.488722219048551,
    13.362462495503758,
    11.642024639073954,
    10.138319320968746,
    11.854164347838044,
    12.068158864395013,
    13.158453059752524,
    12.15321926394406,
    13.083659016036034,
    12.896825101718306,
    11.077788683499158,
    11.827171501445907,
    13.499411375480328,
    13.199165967649046,
    11.375784012591868,
    13.222915017877863,
    11.437535807851647,
    11.108591794651943,
    9.285117475469342,
    9.653257411665363,
    11.406574102269747,
    11.583099591112077,
    13.33624487157621,
    11.6275181601169,
    13.380414988678732,
    13.453596932992362,
    11.734823774617237,
    11.347704671177508,
    13.08923168747717,
    13.219269123807633,
    12.112480077820207,
    13.316781065222287,
    12.098218396393843,
    11.71906900182153,
    9.998518973762842,
    11.777994182228309,
    13.48827344875241,
    13.39978923930343,
    11.579853823493938,
    13.22134811019877,
    11.434684368450121,
    11.249754338469847,
    9.428630784801854,
    13.466806849512711,
    11.922217012488863,
    11.62168159953527,
    9.796929593623386,
    11.576446275713984,
    9.788416708700701,
    9.460846334575912,
    7.635483324498217,
    9.81928279915306,
    11.516475383405146,
    11.730799182430063,
    13.426771282607685,
    11.854812896554398,
    13.551568803169754,
    13.400292641873769,
    11.648737102077458,
    11.508353106839825,
    13.197903695627039,
    13.366085499238743,
    11.951627009223824,
    13.53763857640691,
    12.027529551383559,
    11.658642723950177,
    9.902310177456833,
    11.900147286794253,
    13.328457585895526,
    13.250703180041192,
    11.337638291019468,
    13.160017165036658,
    11.26215672945747,
    11.165828584537316,
    9.250035101362412,
    13.573091317472313,
    11.68175683796082,
    11.471877907383142,
    9.554967765111925,
    11.513462420661751,
    9.615222474620428,
    9.376013724058812,
    7.4571917611601295,
    11.425543255649643,
    13.12250547131554,
    13.336114828168938,
    12.072945288434546,
    13.399598939618063,
    11.99457022557395,
    11.742386404211185,
    9.990140260946951,
    13.113854243673579,
    12.424177966477863,
    12.107935479953326,
    10.358950777066552,
    12.12176561707177,
    10.368401859253252,
    9.999649175945676,
    8.242778460259794,
    13.50469071931304,
    11.736138686420727,
    11.656320909850074,
    9.742846401118165,
    11.499961716484753,
    9.602098235988297,
    9.505770774500789,
    7.589973005567659,
    11.98163013156767,
    10.089339739050969,
    9.877165923282167,
    7.959905074776483,
    9.853135669689856,
    7.95489405395262,
    7.715560107353833,
    5.796724979666188,
    5.987692399997722,
    7.772105558457421,
    8.163729229867773,
    9.944995737098985,
    8.144170535322521,
    9.927787061858643,
    10.275211585771554,
    12.05632519366602,
    7.740370989613973,
    9.523109039225597,
    9.800259665744955,
    11.575898783305576,
    9.880880604180405,
    11.662314116146835,
    11.910420670672876,
    13.535513081131281,
    8.198609781852301,
    9.921182919229176,
    10.374233298486725,
    12.094071394748296,
    10.309638737349756,
    12.019837875234108,
    12.432661923082552,
    13.039623343304076,
    9.941418700658206,
    11.657524640571223,
    12.000522866897299,
    13.30846693886118,
    12.025045859808671,
    13.250710476107285,
    13.08837118752055,
    11.33779831614473,
    7.6282199847105465,
    9.406775643225046,
    9.803876044920312,
    11.579481176979952,
    9.72674560825606,
    11.505291255065979,
    11.854814102651918,
    13.577373046498703,
    9.380358176622224,
    11.157002201078488,
    11.44014616794692,
    13.209791299433185,
    11.463070137669963,
    13.239591697947013,
    13.490006285721758,
    11.897833995782314,
    9.838912460271661,
    11.555713606434754,
    12.014171387410487,
    13.429124845857741,
    11.883471345496677,
    13.246631918294117,
    13.147650546319301,
    11.39737465431174,
    11.581264995053445,
    13.291135493903639,
    13.483666411990352,
    11.731617837665693,
    13.353262368625472,
    11.60824913610621,
    11.44738579567262,
    9.69532858875544,
    7.788651111828842,
    9.517736382253855,
    9.94124430679077,
    11.65725700451184,
    9.94509902202691,
    11.673403112452085,
    12.04986392693903,
    13.472434018302499,
    9.536360313944769,
    11.265074431265859,
    11.577772086449201,
    13.287465861138912,
    11.676533284526787,
    13.404227952729315,
    13.536358077929712,
    11.784866933813051,
    9.94620481482789,
    11.638756611192171,
    12.093300413452887,
    13.194889148587125,
    12.050909771665548,
    13.08305226622642,
    13.061795787127306,
    11.22837939330485,
    11.677119450826375,
    13.366491617316285,
    13.331702171690191,
    11.49543880401398,
    13.279275436011188,
    11.444649406126322,
    11.361123772278408,
    9.524636670688922,
    9.39871996013364,
    11.127297544121287,
    11.547770159903056,
    13.263608624404604,
    11.49408635999545,
    13.222197625533578,
    13.553343032358903,
    11.814822932214982,
    11.144679737085424,
    12.872831147398104,
    13.184004979010005,
    12.137135219842303,
    13.225519152447008,
    12.04137372442066,
    11.8792627613228,
    10.127123979827012,
    11.554406671637215,
    13.245709727860444,
    13.438508004437168,
    11.605455010507713,
    13.2542832148118,
    11.425087285000371,
    11.403811015042,
    9.570169788464764,
    13.282757401928022,
    11.81767062160479,
    11.742054118220144,
    9.905725468460814,
    11.621389730913702,
    9.786534258229405,
    9.703068625105173,
    7.866374654591624,
    7.850115219321463,
    9.59905263448757,
    10.013295286687567,
    11.761457307500578,
    9.985338432616292,
    11.72937750128123,
    12.088176480304565,
    13.447948695583529,
    9.59163232161855,
    11.335408814899395,
    11.646069833671646,
    13.385378295720294,
    11.70331714330095,
    13.439349154733819,
    13.471455066071925,
    11.75291248053723,
    9.97201938993794,
    11.684092360090684,
    12.134422110876837,
    13.144875283833546,
    12.078302081964358,
    13.06247496720732,
    12.96822779364408,
    11.15136480998267,
    11.709630406729232,
    13.40324287619076,
    13.205358467900972,
    11.388358630639967,
    13.195807970474403,
    11.410274132795282,
    11.213557071806182,
    9.394681064455845,
    9.490318356850322,
    11.233718538503416,
    11.653214051419639,
    13.395926385486177,
    11.562825421756685,
    13.303967054693995,
    13.525282347770641,
    11.811159679241822,
    11.231402552371259,
    12.969254582374365,
    13.285766984295718,
    12.111266045862662,
    13.279641558440213,
    12.06636656973642,
    11.834100213032418,
    10.115232602377917,
    11.612151220428593,
    13.31861827570517,
    13.383774049203915,
    11.567832071324679,
    13.204979293473848,
    11.41857028214479,
    11.326628402876356,
    9.507158857060974,
    13.349356575621393,
    11.826750382402201,
    11.629347272166521,
    9.81129965239621,
    11.554199652620797,
    9.766303417093944,
    9.571942599277648,
    7.750474683142606,
    9.638469912029272,
    11.341471867574047,
    11.770613778971919,
    13.466239476296494,
    11.772837964399669,
    13.471715882191559,
    13.46264366807112,
    11.706074998633527,
    11.372005323646656,
    13.0727172211248,
    13.403188479630494,
    11.943652310786787,
    13.481197932369799,
    11.966237926628288,
    11.767396051415057,
    10.002249359128822,
    11.719043839185304,
    13.218872030699139,
    13.23171160684017,
    11.308088349901785,
    13.127593843028917,
    11.225445440833496,
    11.240157673707454,
    9.314095868408229,
    13.444068804964488,
    11.566472859895267,
    11.477132338787712,
    9.551497404006113,
    11.47594411387032,
    9.57304508008252,
    9.485330788118123,
    7.557344498602564,
    11.248448255514251,
    12.950808435121537,
    13.37665859520557,
    12.051170885765593,
    13.319901226385324,
    11.938365057414263,
    11.805747726846374,
    10.048459990926533,
    12.980043628393314,
    12.310056586419416,
    12.113224138128666,
    10.355514428036937,
    12.07198285027308,
    10.308579913446978,
    10.110283907838898,
    8.344506399548333,
    13.32719165380571,
    11.628291169011309,
    11.640954074994415,
    9.716758892350366,
    11.46964750475383,
    9.567367766772314,
    9.58171708927696,
    7.655608759560431,
    11.876489380683257,
    9.975800660624136,
    9.886358250831028,
    7.960161390116612,
    9.817875146432808,
    7.914854212058209,
    7.826887523986127,
    5.8988531304989165,
    8.04858998422193,
    9.832223938228193,
    10.025879589349916,
    11.807120026090928,
    10.101852681251376,
    11.88516490515237,
    12.077201372522033,
    13.31607456548583,
    9.75776132079672,
    11.5387704911518,
    11.66167727011588,
    13.437311291232716,
    11.809164143254305,
    13.589725949953124,
    13.288031342655508,
    11.579820871576898,
    10.250723750024346,
    11.969170976796601,
    12.219703828137835,
    13.183357077150676,
    12.267306284078336,
    13.118473316764259,
    12.899762420283423,
    11.141288026313084,
    11.942010045719716,
    13.4782862947046,
    13.201006356854027,
    11.444729495267753,
    13.217488139978094,
    11.473206399373705,
    11.135491142183746,
    9.376950634029427,
    9.688223824475104,
    11.466161794803224,
    11.665504873337262,
    13.44105261977308,
    11.677391929011204,
    13.455253147436832,
    13.379301671432433,
    11.675185519275484,
    11.39716171172943,
    13.172271516186637,
    13.301069095627026,
    12.049223485571437,
    13.384703265009353,
    12.017217255859308,
    11.644268329360216,
    9.935945287505822,
    11.889991780614066,
    13.544275949597036,
    13.363047222782088,
    11.60511259125051,
    13.213386001559796,
    11.47304886606281,
    11.25439654197585,
    9.49509131001548,
    13.581136254187907,
    11.90213670102602,
    11.624298332605546,
    9.86604199545207,
    11.572955226114095,
    9.827311452132383,
    9.488641086580808,
    7.729241330756243,
    9.832796265029746,
    11.556279650647852,
    11.800677685494342,
    13.516493689312576,
    11.881317228412993,
    13.550080197295788,
    13.296244847142363,
    11.555361061091972,
    11.540717698357904,
    13.26245438329815,
    13.43647523415652,
    11.844162849286704,
    13.587043766878036,
    11.914546071085038,
    11.547679368858969,
    9.796001796526896,
    11.98717199117807,
    13.306849774471905,
    13.187256235813502,
    11.35358809861065,
    13.1338205944605,
    11.304895191944894,
    11.144730469518416,
    9.310018608868056,
    13.498752838416783,
    11.664031881162858,
    11.443439524638077,
    9.607095678478858,
    11.493687616838859,
    9.658938971279781,
    9.372420978995976,
    7.5356455876947095,
    11.43874725041024,
    13.161977101152438,
    13.405799696574531,
    11.971216820350577,
    13.427870174648133,
    11.891066528038685,
    11.638131836949304,
    9.896307769074408,
    13.14603530607085,
    12.296583735451168,
    11.994217130028995,
    10.250594458604418,
    12.007052821750772,
    10.255084406878662,
    9.888576330117598,
    8.1362032915725,
    13.54707309696138,
    11.718151841437951,
    11.594000607448322,
    9.760312054884594,
    11.474372129299026,
    9.645175557482329,
    9.485265787925616,
    7.650265004417822,
    11.910172337408916,
    10.075317409263668,
    9.848838517494205,
    8.012442466252855,
    9.833870160125798,
    7.998911574342234,
    7.71237345601331,
    5.875358150247678,
    9.899660683207557,
    11.645187927438062,
    11.828983126005562,
    13.552716061472648,
    11.940571361242332,
    13.525344464841812,
    13.257311850081715,
    11.537665909605003,
    11.587865199267165,
    13.324196102764246,
    13.459485463775788,
    11.843864917554248,
    13.604155806455555,
    11.893392365598125,
    11.513668644506852,
    9.79183957367863,
    12.018434560291762,
    13.307567680906555,
    13.139605410736154,
    11.320481020747339,
    13.030703954034902,
    11.24582722648502,
    11.059015976534294,
    9.239500361420049,
    13.43600966048768,
    11.653054976994119,
    11.34744388587107,
    9.523959393697552,
    11.377405783430435,
    9.590909311216524,
    9.255649294609043,
    7.432062306446896,
    11.538776066457537,
    13.27911961512108,
    13.46808123217016,
    11.974139998717556,
    13.511744945285248,
    11.885232986211966,
    11.616272020866074,
    9.896559674423244,
    13.226861849561084,
    12.29692470568481,
    11.981215362523852,
    10.265009929623082,
    11.963331850397902,
    10.252185997041664,
    9.86987566731592,
    8.147910511900694,
    13.512533221073568,
    11.730372636231406,
    11.562268865856863,
    9.741868382557243,
    11.384253110354294,
    9.59674360430584,
    9.411856581012405,
    7.590224631269662,
    11.859504475808201,
    10.075832804012823,
    9.769959263870321,
    7.945103903371328,
    9.730843740696479,
    7.9416429710883,
    7.607704450087176,
    5.782209059714081,
    11.674766391565788,
    13.36811189163133,
    13.538042754943987,
    11.791521661689526,
    13.53149277972064,
    11.783042676094833,
    11.53339777995807,
    9.775712337622522,
    13.359797671640347,
    12.130856209040317,
    11.819053289479875,
    10.059989468193018,
    11.910113254350346,
    10.146718591006879,
    9.772944226310702,
    8.007795994036792,
    13.3567820283475,
    11.453020435111561,
    11.384519551224464,
    9.460834196539635,
    11.296918896943978,
    9.385570838624794,
    9.298470880076293,
    7.371432648843367,
    11.703254288158082,
    9.798480285874092,
    9.588747943668663,
    7.663088715385228,
    9.643147452939331,
    7.730643230684964,
    7.489873170999246,
    5.5615546049995315,
    13.280715007434567,
    12.172880230275567,
    11.94607528256494,
    10.199443376868231,
    11.873193862679962,
    10.123945521485405,
    9.875097771050921,
    8.116591029231877,
    12.30182509392672,
    10.5429877231988,
    10.22517790761999,
    8.466100314838018,
    10.251171936712401,
    8.487187930050546,
    8.113760763447917,
    6.347975057988304,
    11.764833398684104,
    9.859808577896239,
    9.789278161269106,
    7.864979124723574,
    9.636519541625614,
    7.725148093298717,
    7.638071495248855,
    5.711009428792166,
    10.111244483831051,
    8.205229516156914,
    7.992933788155888,
    6.066730323448837,
    7.9825419138627485,
    6.070020452984275,
    5.829196207293624,
    3.900844768038201,
    4.208183700008941,
    6.006805166650151,
    6.362323230817759,
    8.15977988355272,
    6.361693376140541,
    8.160073613014982,
    8.474089065166984,
    10.271508092728311,
    5.9952067294700235,
    7.789458937314269,
    8.008005398202268,
    9.796242713668937,
    8.129452236748602,
    9.922860972545688,
    10.117666316042977,
    11.90574813099023,
    6.429025626451108,
    8.16938970540728,
    8.57574359578463,
    10.316071331941597,
    8.548100040788134,
    10.281458007310288,
    10.637992913834944,
    12.370834634997927,
    8.200740688043812,
    9.927744304430771,
    10.212690440864215,
    11.93452475925654,
    10.287169511095792,
    12.000157536498172,
    12.268680561213678,
    13.042955135470855,
    5.858673494380017,
    7.6524053742881115,
    8.011907501132514,
    9.804657266625167,
    7.953528754249829,
    9.74719369250104,
    10.064293066855445,
    11.856723024028463,
    7.644084148785106,
    9.432839369519282,
    9.656745173108467,
    11.439609541794962,
    9.721250781530921,
    11.50998048582389,
    11.70765767261058,
    13.490361811949546,
    8.077652558736228,
    9.814536433311032,
    10.223741327466934,
    11.960609550412915,
    10.126781815510437,
    11.859174522184059,
    12.212220389066244,
    13.130194395043107,
    9.84826418937229,
    11.570996196603353,
    11.860109085211512,
    13.454580575152093,
    11.864667633018552,
    13.33082026512643,
    13.171332404662468,
    11.42007594715434,
    6.064227967559468,
    7.795050982171938,
    8.1846564085181,
    9.903473308347067,
    8.21754807691374,
    9.947892585359607,
    10.294798868522735,
    12.013515852713365,
    7.836522471428692,
    9.56671811054916,
    9.828983657840237,
    11.539936014246704,
    9.970668208205327,
    11.700120138729178,
    11.936810196186423,
    13.594584610563768,
    8.248271298084624,
    9.943286382651253,
    10.34760905955015,
    12.036921141256045,
    10.365945357167647,
    12.055171751406585,
    12.395531369745921,
    13.000325230238104,
    9.993242644968642,
    11.68299809001048,
    11.979685303681343,
    13.261837590117308,
    12.0727789627158,
    13.20717966980013,
    13.10604254671852,
    11.290192335218848,
    7.692622847212476,
    9.423083222642237,
    9.807912934196903,
    11.526663157758849,
    9.782839353681515,
    11.513033416993583,
    11.860087489783682,
    13.578656630221905,
    9.460324617064245,
    11.19005580471601,
    11.45076128388422,
    13.161542326090137,
    11.535469269965182,
    13.264746460336228,
    13.501526140879424,
    11.951942355100854,
    9.87664853899032,
    11.571317925559867,
    11.97075309193181,
    13.390362025223677,
    11.925559344796678,
    13.210793453755795,
    13.171561511569102,
    11.355420709950145,
    11.616906425123206,
    13.305993057830452,
    13.499965337811542,
    11.6843302340271,
    13.376365733348326,
    11.56228555900972,
    11.461720361676175,
    9.645256962870917,
    6.073858090641265,
    7.84104438979991,
    8.205610230944238,
    9.97279003191486,
    8.210090947830029,
    9.97476306633415,
    10.282479036082059,
    12.046729197047593,
    7.84589177127152,
    9.602871787598026,
    9.848072724493907,
    11.602310222434573,
    9.95409318895727,
    11.705199630910482,
    11.920970367106602,
    13.502272103348677,
    8.204503972177168,
    9.936338230309968,
    10.335427125304513,
    12.067152387653243,
    10.319508951755722,
    12.042646428233216,
    12.384879050893176,
    12.863873818666216,
    9.969841399617781,
    11.685266877345725,
    11.971886036531611,
    13.087391472351436,
    12.048642303372095,
    13.109900483828696,
    12.927297637493167,
    11.09465797137629,
    7.723424572267261,
    9.486458523854626,
    9.854586732969288,
    11.617597835386775,
    9.79555873599585,
    11.557707753139228,
    11.863654180308869,
    13.582200510724737,
    9.494199092762413,
    11.246234324855276,
    11.496310077641962,
    13.245662513290851,
    11.538988808042522,
    13.287889520370857,
    13.502119124046933,
    11.890369253962922,
    9.852932260277878,
    11.581442559796317,
    11.983328199898054,
    13.29738622339559,
    11.896592614035614,
    13.147470139971265,
    13.066345815949116,
    11.23717843165016,
    11.617256044464314,
    13.3285184392373,
    13.359661023075809,
    11.527510538893814,
    13.281287216437944,
    11.482900862800081,
    11.302713467486283,
    9.467259631694787,
    7.922943036532491,
    9.628753301148528,
    10.011313599889508,
    11.711602158170487,
    10.05917335973334,
    11.762201410541403,
    12.082163428177166,
    13.511297547594777,
    9.675632192981215,
    11.378042691555908,
    11.651469334205661,
    13.341047723713773,
    11.782579329248925,
    13.480238340552319,
    13.549835184950368,
    11.81547432332535,
    10.023693310392716,
    11.709807969111523,
    12.104989803124182,
    13.071766457638972,
    12.1372347506116,
    12.989297337497936,
    12.999512464398354,
    11.078759606051513,
    11.76163863624382,
    13.313969305168797,
    13.226901844595488,
    11.299341324066758,
    13.21977777636696,
    11.32142857283441,
    11.235873036560754,
    9.3061037316259,
    9.551156349626687,
    11.256695172265147,
    11.63454979356927,
    13.334753810105243,
    11.62048518352976,
    13.323507834716114,
    13.59988037773751,
    11.86868371825826,
    11.299434290176805,
    13.00135611446495,
    13.273182038039169,
    12.188555476573725,
    13.343838541993549,
    12.131598300579308,
    11.909608277295376,
    10.172821670214443,
    11.651905250009099,
    13.337729603918095,
    13.41314680087545,
    11.494079143674096,
    13.24194729537033,
    11.343865850870952,
    11.35402291923679,
    9.433156183790492,
    13.385279170619704,
    11.736600179769523,
    11.649426221425518,
    9.721255605938142,
    11.574459231219253,
    9.675927918266986,
    9.590099361030378,
    7.660257863823419,
    6.204262180388534,
    8.002868893755828,
    8.18424314670639,
    9.981394623518021,
    8.256203753886998,
    10.05457425962361,
    10.233967720402724,
    12.030953303165369,
    7.9277571821940835,
    9.721196816783447,
    9.824424082187093,
    11.612603943643954,
    9.978204759088037,
    11.771267413081006,
    11.873664389437671,
    13.248731963000605,
    8.424934032005673,
    10.165223163812357,
    10.39253170788519,
    12.132818501773762,
    10.437003859654924,
    12.169379281797415,
    12.397862336398264,
    12.758634463382457,
    10.129677988877097,
    11.853818159172544,
    12.022280958210258,
    13.080151449378757,
    12.135179336065864,
    13.129029370316214,
    12.764749851860657,
    11.008580675006552,
    7.853159629400294,
    9.646891500662196,
    9.833039008126727,
    11.625376729591284,
    9.842886991658522,
    11.636537071743435,
    11.820609881439564,
    13.358176724332328,
    9.575863145201325,
    11.363954768569188,
    11.472529002040833,
    13.255288398152217,
    11.56463537896613,
    13.352693244603602,
    13.330409701600036,
    11.632317488316502,
    10.07189760339567,
    11.808753491440264,
    12.039484694433908,
    13.248635504688266,
    12.008371825221936,
    13.151955970366151,
    12.8870592031885,
    11.13046628507534,
    11.776237182678365,
    13.496378046451305,
    13.274027425737815,
    11.518758963255491,
    13.247901633724247,
    11.503299783483865,
    11.136748205087036,
    9.380136154593426,
    8.032843225431645,
    9.758985743911484,
    10.000021760685456,
    11.718628298558205,
    10.080661701581874,
    11.806726423462933,
    12.044441707741026,
    13.283770936739426,
    9.751399352232692,
    11.475071149153084,
    11.639379079633324,
    13.349774724545142,
    11.79715370640097,
    13.520793477711807,
    13.271606733027923,
    11.549363713846288,
    10.215827336050669,
    11.906990427155561,
    12.16055035856972,
    13.040132570191322,
    12.211698499898942,
    13.027609933224385,
    12.805134840343555,
    10.988819167626742,
    11.907670987155564,
    13.382944533979739,
    13.125861867461804,
    11.310315016231971,
    13.192117902057724,
    11.378567375197331,
    11.05324147567546,
    9.236820382722131,
    9.655177804855096,
    11.381184053247352,
    11.620979296306647,
    13.339533975966578,
    11.644807045877265,
    13.37063233362511,
    13.359807438992368,
    11.639757581604147,
    11.371661340785586,
    13.09511008256221,
    13.259185359609702,
    12.010909936562484,
    13.360253019910882,
    12.04727945108005,
    11.630090080315188,
    9.905006213539428,
    11.838161513564181,
    13.453308203368522,
    13.275509798764164,
    11.460066932779176,
    13.193719110657897,
    11.38093912544358,
    11.158667420395702,
    9.341646898528177,
    13.527832496150305,
    11.80594207618178,
    11.544009617888019,
    9.728254031457126,
    11.546051754324882,
    9.731891781291448,
    9.406699003506485,
    7.589579479142015,
    8.064947802250234,
    9.831648963411205,
    9.99269694089069,
    11.759045842184015,
    10.104331553564645,
    11.869002438126929,
    12.02434711394264,
    13.19587129534483,
    9.763429044023214,
    11.51624856587493,
    11.626603945223788,
    13.37885887017671,
    11.798485014733256,
    13.548056174875132,
    13.175511806481913,
    11.46353221774938,
    10.195299812381297,
    11.926803489839804,
    12.122513485609728,
    12.936619169970593,
    12.206057677242132,
    12.872272813571513,
    12.664363446479786,
    10.837700442511212,
    11.887179456464388,
    13.279352346398104,
    12.983583075501667,
    11.151111396787769,
    13.009420236459087,
    11.207478417368556,
    10.87849505424439,
    9.045319927113091,
    9.712648620605908,
    11.47535102770269,
    11.640397029635125,
    13.402747227148646,
    11.684845299324179,
    13.44695664225956,
    13.292026297789377,
    11.581050772083088,
    11.410687431746975,
    13.158923005781821,
    13.27378623490967,
    11.951709209482196,
    13.378992932382737,
    11.98532569000721,
    11.559256506733568,
    9.847058191723978,
    11.841927405691084,
    13.384912606688982,
    13.202977669057043,
    11.376556829901904,
    13.043825136780153,
    11.238405470305578,
    11.031789870254205,
    9.202622389062649,
    13.516605659316344,
    11.719739490240354,
    11.423490265889448,
    9.589633809024328,
    11.378504160497403,
    9.573084146020335,
    9.245918979444285,
    7.410188110631739,
    9.888738079358088,
    11.587741154195037,
    11.795891188005998,
    13.493687574195183,
    11.9222713072945,
    13.551117416185527,
    13.239237748897311,
    11.505299879588458,
    11.57942555908681,
    13.269810524705502,
    13.428037946625178,
    11.811525319867274,
    13.607124436766792,
    11.921537273095963,
    11.500560145507716,
    9.763463747044558,
    11.986101822023507,
    13.141640748997451,
    13.04732811572802,
    11.127182622626007,
    12.980122063184849,
    11.062948806543178,
    10.943260738974287,
    9.01712550411574,
    13.379236758596129,
    11.472373407998347,
    11.268921000357954,
    9.340634252403092,
    11.311534341229171,
    9.393541646002015,
    9.15714048970326,
    7.224331024393825,
    11.510693579775273,
    13.20964190411651,
    13.416793416774254,
    11.940453463945573,
    13.4824037683198,
    11.90738881769777,
    11.59810799538487,
    9.86127181827749,
    13.199603872259573,
    12.326833827778957,
    11.956360636053233,
    10.229090753467611,
    12.011653994394667,
    10.27773609479658,
    9.858929577225913,
    8.119103703680311,
    13.469470770267579,
    11.561742095033189,
    11.46622127336995,
    9.545067384872183,
    11.331368115888923,
    9.41418958452093,
    9.294228187709633,
    7.3680721313450235,
    11.800876671377003,
    9.892431816774033,
    9.686562020865455,
    7.757518329288098,
    9.662644699292835,
    7.744648665900958,
    7.508087589894121,
    5.5752615533985885,
    6.109802424290967,
    7.896085683309747,
    8.25615039544925,
    10.040045578213341,
    8.259846808516562,
    10.04549977215861,
    10.366647209092779,
    12.150395086623032,
    7.882782845808942,
    9.66667342526154,
    9.894389928071508,
    11.67130658189996,
    10.015649810358324,
    11.798331395562307,
    12.00313082383674,
    13.439336625134558,
    8.327781871554205,
    10.05834452017101,
    10.465317184618689,
    12.195492036752956,
    10.444671406802856,
    12.16688374929381,
    12.527294854372105,
    12.91941840094401,
    10.082498113630722,
    11.803073953746205,
    12.093010664637909,
    13.173340313787644,
    12.168704512071354,
    13.112474668174873,
    12.952704742722249,
    11.20086063940358,
    7.760201526558511,
    9.541683955164665,
    9.905555640717509,
    11.684918020730983,
    9.850724156502922,
    11.632202299101632,
    11.956128507166621,
    13.513447030745624,
    9.53138941206003,
    11.310018332030204,
    11.542838902513259,
    13.314634778720407,
    11.606525388087574,
    13.385020535892364,
    13.518153713993772,
    11.827433512664516,
    9.97636918174648,
    11.703487499481284,
    12.113219403014615,
    13.32729648902543,
    12.022732918538763,
    13.14522284317849,
    13.048778867034494,
    11.296555947414685,
    11.729863077328348,
    13.446298015009337,
    13.366092580103967,
    11.613427789401289,
    13.235903676198593,
    11.489696479545868,
    11.330658600473782,
    9.577978513275525,
    7.926181413614494,
    9.654930443966089,
    10.04492906894312,
    11.760980257272632,
    10.076219192367306,
    11.804307977496192,
    12.152810253165043,
    13.416363150348431,
    9.690469329269856,
    11.418837916494034,
    11.682927989445137,
    13.392008877161581,
    11.822930353044201,
    13.55040758338405,
    13.447289611577112,
    11.721941197508649,
    10.110222429012873,
    11.803048295354136,
    12.20778023595486,
    13.101484199117893,
    12.224419941588732,
    12.990240751793145,
    12.959522297136528,
    11.134453859393757,
    11.846666296490303,
    13.297053564404397,
    13.213311302631608,
    11.38756127427198,
    13.159142922307952,
    11.3347836981834,
    11.241043811776553,
    9.415009047898478,
    9.553482304019742,
    11.28178026329785,
    11.667337288831973,
    13.383281033549247,
    11.641306528928393,
    13.36921958098365,
    13.487697705746195,
    11.771756317543108,
    11.313653744462407,
    13.041488292174776,
    13.304080316381935,
    12.091992818445442,
    13.387590669150551,
    11.99157559403832,
    11.805670594468408,
    10.077332937687036,
    11.7375050380582,
    13.373354052510754,
    13.34800302443484,
    11.522914236910694,
    13.166722359419893,
    11.343773551846859,
    11.313914743013278,
    9.487950554162179,
    13.469730333255445,
    11.71915244514284,
    11.633895933774467,
    9.807640496449846,
    11.51356657291505,
    9.688247090530085,
    9.59534085964238,
    7.768382475397065,
    7.975143758722965,
    9.728060326034214,
    10.09943737094167,
    11.852206431212267,
    10.107362338949569,
    11.856444417489723,
    12.174948414235741,
    13.358049955640828,
    9.733463749536337,
    11.47939241695228,
    11.73440657849391,
    13.476935596592952,
    11.840248503935417,
    13.579239565660103,
    13.36327409420049,
    11.656676966051528,
    10.101333817488985,
    11.821951469316627,
    12.224232202634319,
    13.020736460698789,
    12.2137367469243,
    12.938564519236426,
    12.854989550459763,
    11.028124612225287,
    11.850698787202479,
    13.257364330371276,
    13.069742284548113,
    11.238811978137138,
    13.061524311392695,
    11.265159462687269,
    11.078469866375912,
    9.245821057533858,
    9.62460373669064,
    11.373474233900506,
    11.748234776704535,
    13.497007636341358,
    11.691636653529969,
    13.438701844352478,
    13.44902554786303,
    11.746645383407696,
    11.38150216569635,
    13.122717472683135,
    13.382360464157593,
    12.045046978046956,
    13.424160680742364,
    11.995125379102486,
    11.751420637321988,
    10.044773842125291,
    11.749710498255975,
    13.371962726474703,
    13.28765730431395,
    11.461717880943047,
    13.110681421881758,
    11.311931735532887,
    11.230797523914838,
    9.401402261727046,
    13.492711001739309,
    11.698130956327834,
    11.51086849401961,
    9.678716157689191,
    11.436892593388126,
    9.63809996526548,
    9.453789971324117,
    7.618330857408712,
    9.783029208448603,
    11.485633629542562,
    11.87042246783449,
    13.567074510043742,
    11.914836701568953,
    13.541530525130343,
    13.381962760630174,
    11.64934901158753,
    11.528880818297981,
    13.228759081281416,
    13.504676001150774,
    11.890344193553494,
    13.633477868589205,
    11.903530632467326,
    11.679411032007035,
    9.93927923751179,
    11.883376450709482,
    13.116713800560106,
    13.131975385024102,
    11.206268636753798,
    13.03047597429569,
    11.123837517365985,
    11.141243124547364,
    9.212885091761047,
    13.345277054381963,
    11.441819233232511,
    11.356026385184151,
    9.423242901303302,
    11.355645247523054,
    9.448902058520128,
    9.364712130556775,
    7.429528092343814,
    11.410198081400818,
    13.112436154391201,
    13.492795584151281,
    12.010918281426425,
    13.476058844212973,
    11.896944323225917,
    11.740275933253347,
    10.004742096157022,
    13.15206473078891,
    12.265557812683689,
    12.043946379111363,
    10.310404773675922,
    11.999821340120286,
    10.25894418973403,
    10.037695685855207,
    8.294670722693667,
    13.44231221149682,
    11.537514744511762,
    11.55340053395464,
    9.626613259474105,
    11.383826641350879,
    9.47683173105905,
    9.494274662777244,
    7.565675310829933,
    11.767305915738456,
    9.862408655803323,
    9.776527337647554,
    7.842873655149916,
    9.708816504584062,
    7.80172394886559,
    7.717199673077955,
    5.7818488816961455,
    8.095292054508498,
    9.88116380914257,
    10.073750385942985,
    11.85759850835524,
    10.14695655639706,
    11.932495416033209,
    12.123276044779137,
    13.139127281263933,
    9.810865818724416,
    11.59326317744463,
    11.707510931334303,
    13.450945681076115,
    11.861171465925214,
    13.523403169798238,
    13.104603515281099,
    11.405190491255528,
    10.313242575839237,
    12.043262466812056,
    12.278544730146617,
    12.97562206076083,
    12.32530703467394,
    12.943888269015618,
    12.68211799229681,
    10.924833808845728,
    12.007724174200202,
    13.293033005475605,
    12.993961794374883,
    11.238686396302267,
    13.033159028336469,
    11.287709433290399,
    10.922163176204911,
    9.164878971568012,
    9.74394974962774,
    11.5251660243295,
    11.722288130132675,
    13.501556236883228,
    11.733131466065544,
    13.514318120030357,
    13.220996097225338,
    11.52447374279415,
    11.458603998452126,
    13.23594830034536,
    13.355248309808097,
    11.891457129255219,
    13.446990944889869,
    11.910839822530892,
    11.488426324335542,
    9.788756307181846,
    11.960054772411901,
    13.387714199145272,
    13.171969069839614,
    11.415479974154392,
    13.061791955253693,
    11.318198619176528,
    11.054396581589222,
    9.29666560313836,
    13.479620587119275,
    11.733324791068586,
    11.433634390560757,
    9.677086922206048,
    11.40829182754213,
    9.661978676994208,
    9.294159214474732,
    7.536428108573262,
    9.89103861247913,
    11.614486949977678,
    11.858092934257417,
    13.429541748404908,
    11.937697502983298,
    13.459535766300418,
    13.143870587044272,
    11.422376603670541,
    11.60413207711262,
    13.325586925512688,
    13.434650192312679,
    11.717417420841596,
    13.548269626020463,
    11.821397626353948,
    11.400418321528646,
    9.67160188282475,
    12.074003736923952,
    13.164405197433279,
    12.998198093225977,
    11.173409187805076,
    12.983586745318947,
    11.161397158774756,
    10.94620970416853,
    9.120690871212686,
    13.335080390114127,
    11.510541416891357,
    11.258429455246068,
    9.43266348072257,
    11.329797344301241,
    9.505217072543267,
    9.181614060825494,
    7.355421185422292,
    11.512665062534918,
    13.235926519118099,
    13.478371097652994,
    11.847878218139105,
    13.501578463739001,
    11.813913794729428,
    11.501526983848105,
    9.776506132120613,
    13.223908686917246,
    12.211392966337327,
    11.850058980281561,
    10.13249352046685,
    11.90583784398715,
    10.175768007921716,
    9.757748822350285,
    8.025609943588202,
    13.40841041443522,
    11.585727993794132,
    11.41624012500777,
    9.591057663632704,
    11.336339750241397,
    9.513263244617558,
    9.298653472818838,
    7.472153107689371,
    11.75651329128386,
    9.931305135258185,
    9.673824013562303,
    7.8475656211250655,
    9.682528086571516,
    7.857036964643283,
    7.534045667170762,
    5.706877937116648,
    9.955142208251345,
    11.706407270730462,
    11.881896799674188,
    13.374284501969157,
    11.994064392123814,
    13.391323672466438,
    13.071580777179113,
    11.360300720554854,
    11.646445101796937,
    13.386641691088053,
    13.370183916947482,
    11.666610350882825,
    13.455239504977826,
    11.754847011153018,
    11.329622451930614,
    9.616749316239138,
    12.08057938738622,
    13.108670902854472,
    12.926579421340342,
    11.10102166139793,
    12.839023701516599,
    11.036724172415541,
    10.828852118134488,
    9.001949141954537,
    13.231108470516308,
    11.434603275740077,
    11.134732206251476,
    9.302259163746065,
    11.164975487219568,
    9.362649497047661,
    9.028955971657016,
    7.1957762042716915,
    11.602556350091024,
    13.350072830614826,
    13.514451115412779,
    11.815138441522404,
    13.469017760957033,
    11.778643966951694,
    11.457041212036572,
    9.74547505580471,
    13.293319632014608,
    12.174198383771484,
    11.810815536366357,
    10.106924820920923,
    11.842324916304541,
    10.14190436697791,
    9.713347327971086,
    8.000260607350091,
    13.346553467412065,
    11.549374173139942,
    11.367501458805169,
    9.540872618019039,
    11.20858709117642,
    9.40282386875501,
    9.196240973997497,
    7.366845604262904,
    11.67205627919042,
    9.874855240908113,
    9.57439413941901,
    7.740537563612639,
    9.533948361029253,
    7.728175290213865,
    7.396337873824038,
    5.56060412975672,
    11.74461682628478,
    13.439407583420374,
    13.382021767440206,
    11.658335625745865,
    13.41585052303349,
    11.690237862479657,
    11.380178798575255,
    9.642665868989406,
    13.431135694549411,
    12.034183905899603,
    11.66602609118501,
    9.932914722198305,
    11.788737604814699,
    10.050701265590869,
    9.625188467879234,
    7.883009773876872,
    13.191104761438382,
    11.276007480578643,
    11.188364537675541,
    9.260459142045336,
    11.123208934198841,
    9.196389100105621,
    9.083413505829432,
    7.148812854970969,
    11.515230271414213,
    9.599875773714224,
    9.395506927930347,
    7.461677876311905,
    9.447300854416486,
    7.520187901156702,
    7.281654040250295,
    5.342552133715699,
    13.365929493181342,
    12.087876465137288,
    11.799856024364924,
    10.075979768669198,
    11.773273405524167,
    10.044548726787347,
    9.737565949921875,
    7.996759445887136,
    12.186747934546032,
    10.45414939711155,
    10.081243025427849,
    8.347689601131233,
    10.146038918276723,
    8.405006674822495,
    7.982327286354619,
    6.236996907573535,
    11.611230792988735,
    9.69403230672064,
    9.605360305416514,
    7.6760466745412455,
    9.473125593391343,
    7.546250783942931,
    7.433135206417479,
    5.498449494273317,
    9.935187668513796,
    8.01775718842661,
    7.810614502858689,
    5.875692223783466,
    7.796955650539897,
    5.869793322699901,
    5.631257288119694,
    3.6920876418521145,
    6.067516618238661,
    7.862786050915905,
    8.204480676914052,
    9.99766105379189,
    8.218470615971547,
    10.01334891532543,
    10.316034846146872,
    12.109158821232871,
    7.8298675889406635,
    9.622126286766386,
    9.838743800033669,
    11.62427466812161,
    9.963661831511683,
    11.7549928083229,
    11.948344423523018,
    13.503429173140207,
    8.262238338450386,
    9.987879011975329,
    10.39570740844646,
    12.120659587189502,
    10.371741734354583,
    12.086773635005658,
    12.453813622459247,
    12.966299896658484,
    10.01598652686768,
    11.73247062912695,
    12.024562497508366,
    13.22710644736652,
    12.097867063853936,
    13.167481122117078,
    13.01069443345517,
    11.255349229167967,
    7.708266408159962,
    9.497286236569256,
    9.845077699566474,
    11.632107491001058,
    9.802757689173784,
    11.591736985317777,
    11.897130465737115,
    13.542470632351653,
    9.470247752640047,
    11.255972531271745,
    11.479110549605885,
    13.25808810706821,
    11.547323847324256,
    13.333029918444858,
    13.529439877404215,
    11.864658039282974,
    9.902515780734184,
    11.622327169923894,
    12.035872744628264,
    13.351547214296659,
    11.946757633219805,
    13.171491450436248,
    13.077272471839656,
    11.320310677993376,
    11.655990535239281,
    13.366178773190287,
    13.402361791715398,
    11.645014024670157,
    13.271471149022476,
    11.521492361386963,
    11.366706987800729,
    9.609356030201345,
    7.900569654735489,
    9.631369241687773,
    10.011497648242797,
    11.729905822132457,
    10.051513774486297,
    11.781817779828017,
    12.121159934005071,
    13.470021135479897,
    9.654411030824008,
    11.384606664280014,
    11.645406228415036,
    13.356299804031453,
    11.788006819312862,
    13.517457788690354,
    13.527453503489909,
    11.787425062207486,
    10.03763619834423,
    11.72831218741122,
    12.133624660954618,
    13.159600475823343,
    12.142326815313211,
    13.048853352038194,
    13.021604659457372,
    11.192261072146284,
    11.77399927868113,
    13.360842981356562,
    13.282605769113697,
    11.45337429092099,
    13.225806505106812,
    11.39866815115098,
    11.311025624887785,
    9.481168400482767,
    9.510301985915845,
    11.24068757713612,
    11.61825722017013,
    13.33652118102351,
    11.600513389205808,
    13.330631722802895,
    13.541014621609648,
    11.810829510773193,
    11.262253312699276,
    12.991968828900447,
    13.251737787668134,
    12.143759744601429,
    13.337005814603234,
    12.03972202200491,
    11.868650795518652,
    10.128136992297422,
    11.645861181430654,
    13.335483806876873,
    13.395287586289854,
    11.566653574930392,
    13.213339434530432,
    11.388026692911414,
    11.360664414086385,
    9.53130775884593,
    13.379555160953059,
    11.769366966365622,
    11.689070524818213,
    9.859808753966334,
    11.564985115485946,
    9.73782733684553,
    9.65008537540951,
    7.820215084502063,
    7.92649640734783,
    9.687085068304649,
    10.044559380045499,
    11.805027557266525,
    10.058205479817858,
    11.815370964755346,
    12.120505267070076,
    13.415840735045162,
    9.677281104252339,
    11.430353631146955,
    11.676429202873106,
    13.426179065387108,
    11.78424775439337,
    13.530891429566573,
    13.441420285707755,
    11.724495610513902,
    10.03736314648658,
    11.753581603657054,
    12.155388964887248,
    13.068003198015095,
    12.142369174176004,
    12.98556962265312,
    12.90305809990647,
    11.074406060633418,
    11.785071728360542,
    13.31110658487507,
    13.12919099325346,
    11.29655074262847,
    13.115488059260663,
    11.318019029797217,
    11.13693248623353,
    9.302735873111082,
    9.566871200748864,
    11.321584081467595,
    11.684856764979312,
    13.439467932747224,
    11.637664779979234,
    13.391167269175615,
    13.491055185125523,
    11.777651213942956,
    11.317383900844566,
    13.064167105572869,
    13.316530137260148,
    12.08806461057494,
    13.362155295342722,
    12.03609836230548,
    11.80296737139964,
    10.085724391822529,
    11.67750190628357,
    13.388027814864877,
    13.315102275981864,
    11.486342251733529,
    13.137973978314799,
    11.337121136339203,
    11.25806345031064,
    9.425697769127405,
    13.424975186280781,
    11.729906825914085,
    11.549079385786586,
    9.71445773988446,
    11.470419444344735,
    9.669506532241726,
    9.491835893773901,
    7.6537507112433,
    9.748732110943282,
    11.45373487235918,
    11.831497552299425,
    13.530442217822639,
    11.880135683761155,
    13.582018337832455,
    13.454581080365646,
    11.704574973566105,
    11.487283154710486,
    13.189331897421727,
    13.462515851189126,
    11.959311337088373,
    13.59238012931012,
    11.96780056211318,
    11.764416248647962,
    10.008312979876552,
    11.812577696058455,
    13.175107008695193,
    13.192825311389353,
    11.264321628044641,
    13.088653217887007,
    11.181736480878879,
    11.200925664903176,
    9.27041611677568,
    13.40954371133574,
    11.504998978467073,
    11.426891552056665,
    9.49032009754325,
    11.418762151174372,
    9.511623689371026,
    9.43462827863344,
    7.496231201537347,
    11.358425174407156,
    13.062929636983238,
    13.4378724932017,
    12.052099150986646,
    13.427200754901339,
    11.937880814891878,
    11.795938850661901,
    10.045381449360184,
    13.094928187248325,
    12.316286094287127,
    12.114257662083265,
    10.365723155269583,
    12.06158496157105,
    10.308528138038234,
    10.105612665726213,
    8.349015716004459,
    13.420727377423612,
    11.581529438177508,
    11.598693053738726,
    9.670100889080562,
    11.427476874835529,
    9.52055068658232,
    9.5394516924002,
    7.608893959993467,
    11.816198237676486,
    9.911420830769956,
    9.832559902966588,
    7.895929416505787,
    9.757585801375924,
    7.850437894771279,
    7.773092422582717,
    5.834631522107473,
    8.044583295161182,
    9.839617209481258,
    10.019950475270665,
    11.813027052312613,
    10.096441939731722,
    11.891261117617375,
    12.069487130341551,
    13.179120535923374,
    9.754133991637126,
    11.545196509854222,
    11.650221877275515,
    13.435746759367358,
    11.804333355101406,
    13.57023145334626,
    13.159393945340184,
    11.45305729202994,
    10.237195684384368,
    11.961661367794264,
    12.202883248207822,
    13.009167699679516,
    12.24772646117147,
    12.9778654321622,
    12.717953531230146,
    10.95851759599478,
    11.933832307366677,
    13.331549414763188,
    13.034772247117484,
    11.277270495101423,
    13.074643316569421,
    11.326720752151576,
    10.963747424655308,
    9.204311364522548,
    9.684870121113407,
    11.473720022406566,
    11.660235764227544,
    13.447116245999633,
    11.67268432359848,
    13.461353507784453,
    13.235925298620954,
    11.532879286217533,
    11.39424940773579,
    13.17888832085601,
    13.290320604746372,
    11.918052229602624,
    13.38057455005774,
    11.926340928004121,
    11.510201371014011,
    9.803812587558026,
    11.876944736333606,
    13.399745029972358,
    13.187360665201233,
    11.427485082245273,
    13.07197796708594,
    11.324724501755018,
    11.062979464460803,
    9.302288499890807,
    13.500460738190181,
    11.75058367513544,
    11.454885961386939,
    9.694946840930902,
    11.423543418947865,
    9.673550205570479,
    9.307708071479748,
    7.547013141443967,
    9.857558317770728,
    11.583462455286673,
    11.822286061848605,
    13.462159670910541,
    11.905372088090253,
    13.492418304950668,
    13.18756282323882,
    11.453741983748378,
    11.56449784373701,
    13.288105209227073,
    13.452392314518793,
    11.760496097175285,
    13.601683782358677,
    11.862047413791496,
    11.454855920343817,
    9.71376238593838,
    11.9946246576343,
    13.203042187702422,
    13.03983849872192,
    11.211186132194907,
    13.026681804808977,
    11.200327875079386,
    10.988074109071563,
    9.158718795874874,
    13.382216919117916,
    11.553938511491541,
    11.306080426908618,
    9.476652780907877,
    11.377427719921208,
    9.549096659710472,
    9.230567917607564,
    7.400698299524489,
    11.46381540900665,
    13.18950470112016,
    13.427712075013796,
    11.868663108458316,
    13.451629200323884,
    11.829517414975658,
    11.524706081280987,
    9.789993049684535,
    13.170016801913372,
    12.240330351459683,
    11.896599800391268,
    10.165476822249648,
    11.939020182842746,
    10.198837784810467,
    9.790601883877303,
    8.048853154080128,
    13.437832955070602,
    11.611576862394495,
    11.44576281995729,
    9.617074115971107,
    11.360954648894536,
    9.534598680118474,
    9.321246735577567,
    7.4918753501203454,
    11.790641627808991,
    9.9623600532509,
    9.710843243527698,
    7.881393541565268,
    9.711650538253659,
    7.883318506569617,
    7.563154218485554,
    5.733274126123126,
    9.895677526437964,
    11.65467125848594,
    11.821869098002168,
    13.418138241558477,
    11.935020522831518,
    13.432896867703665,
    13.120784118048784,
    11.401812312874231,
    11.584238650942494,
    13.331734965918802,
    13.431842259559456,
    11.71916740410153,
    13.512165426835988,
    11.803450731351024,
    11.388341560975746,
    9.6676829812651,
    12.006395607155419,
    13.144029312981951,
    12.963403888206953,
    11.136145432013693,
    12.876558600367996,
    11.072051059000957,
    10.865629824541987,
    9.036977505731649,
    13.274898334068066,
    11.476223995593637,
    11.179123155173375,
    9.345415874660922,
    11.208785556483228,
    9.404236358103699,
    9.073499619819508,
    7.239023812272016,
    11.535469625830503,
    13.288771413132341,
    13.461626980606637,
    11.836496952864756,
    13.48805833416716,
    11.789002476187385,
    11.474246444100576,
    9.755239182740159,
    13.223953850208906,
    12.202552556512035,
    11.851557861391072,
    10.13725455915219,
    11.868041170182964,
    10.158930266642415,
    9.7390481411029,
    8.01830789208331,
    13.362961910741639,
    11.562905007921305,
    11.38345478673016,
    9.554365142058767,
    11.220913958365838,
    9.411173961087073,
    9.206895744068689,
    7.374414947905813,
    11.695121487276136,
    9.895024235685906,
    9.59883823952153,
    7.763089853759234,
    9.553013579920176,
    7.743245158903866,
    7.41448441019607,
    5.57635685186954,
    11.70078813302498,
    13.39795490070962,
    13.431557112866837,
    11.691683800039243,
    13.46391912282401,
    11.722596009438178,
    11.42602402432953,
    9.674360778921496,
    13.384288190885663,
    12.07583127352068,
    11.727804943497508,
    9.97889047743108,
    11.844245409996457,
    10.091280973568455,
    9.683802636950704,
    7.92740463262597,
    13.234468826499963,
    11.31397264205207,
    11.230593066013695,
    9.297923231567886,
    11.166664206665935,
    9.234314806161095,
    9.125663459932149,
    7.18607679174847,
    11.563938489558367,
    9.643043521738766,
    9.445877717804853,
    7.506946504779718,
    9.4960865015358,
    7.563284456824603,
    7.332518650078548,
    5.388117502290949,
    13.307045031343922,
    12.108484628313033,
    11.837626332328805,
    10.097571702702798,
    11.801391120752823,
    10.059502612757521,
    9.762930808103103,
    8.010512415476938,
    12.231718903009071,
    10.483676804630036,
    10.132488112001491,
    8.383500147630016,
    10.181301683683031,
    8.42789900410232,
    8.019441261649686,
    6.262459251387471,
    11.640584642211023,
    9.719698485052167,
    9.634811492350428,
    7.701967947049319,
    9.498524950171126,
    7.565677862709173,
    7.4566290897896135,
    5.5166861690751094,
    9.970054243642942,
    8.048769268962666,
    7.849595801629768,
    5.910548870919476,
    7.827938116453613,
    5.8946338545182115,
    5.66333154815511,
    3.7186152548420273,
    7.959455578673899,
    9.743846486247183,
    10.091232062183453,
    11.872351004720203,
    10.107655077489177,
    11.891270368178557,
    12.20162042144511,
    13.344537776349767,
    9.711796411672323,
    11.494500920366354,
    11.719879990525026,
    13.495043870573072,
    11.844359543471002,
    13.55993727858688,
    13.362279151967158,
    11.658925416581978,
    10.148013617405898,
    11.866973799175959,
    12.275181388199439,
    13.097528977513267,
    12.256503843422301,
    12.981383327166355,
    12.886759511465673,
    11.130189085287917,
    11.889193554410085,
    13.285212368365539,
    13.140045088605326,
    11.383112986684655,
    13.07338405733062,
    11.323269910070808,
    11.167538916708825,
    9.410335701194404,
    9.59964925375821,
    11.378197281498608,
    11.731205489841056,
    13.506624999880241,
    11.690073692834783,
    13.468613672945585,
    13.401540554312122,
    11.706274721680561,
    11.351470856986372,
    13.128099904726973,
    13.359532095536238,
    12.022676410741406,
    13.426394138245024,
    11.921250317294657,
    11.72371271560927,
    10.019994591286927,
    11.787836676488816,
    13.360826432780438,
    13.27455092852167,
    11.515940160325789,
    13.08419615464561,
    11.335303009793563,
    11.242722413665867,
    9.484106616951445,
    13.456343720521367,
    11.704264996362921,
    11.560274339201651,
    9.80101775445404,
    11.429406948233012,
    9.677182782808817,
    9.523498956517262,
    7.764242293464449,
    9.75888967909168,
    11.487637759635987,
    11.868718154311923,
    13.53823334434755,
    11.90697678801152,
    13.4572359541231,
    13.338638601781831,
    11.600801117774013,
    11.506385984013667,
    13.234747738871341,
    13.497365153214641,
    11.855028131995748,
    13.5709414633647,
    11.819621964576353,
    11.65654583665401,
    9.90502111165235,
    11.895533583910163,
    13.135924226801894,
    13.12704059273127,
    11.2857644559093,
    13.013241932727004,
    11.175000211350639,
    11.160004861564158,
    9.318135099217866,
    13.320651841785727,
    11.479350114839438,
    11.41264454251448,
    9.569691544731388,
    11.358270415476118,
    9.5167661727732,
    9.440110670952071,
    7.5967485338432645,
    11.368136615155445,
    13.096408907880356,
    13.475095212865499,
    11.945067062240318,
    13.455958458260808,
    11.797348502978108,
    11.67937389188393,
    9.940799996122585,
    13.113929204563846,
    12.163180340734739,
    12.003817938841186,
    10.260669027324942,
    11.91166072009364,
    10.159661600350606,
    9.997187266192386,
    8.244991835327852,
    13.381702807481336,
    11.543768457716519,
    11.533259894757213,
    9.691980739371868,
    11.351901468345643,
    9.513588231476124,
    9.498508028650562,
    7.656583188488699,
    11.728307972244265,
    9.88699893894116,
    9.818006694860701,
    7.975053695125737,
    9.696928014357724,
    7.855353685867272,
    7.7786037802332215,
    5.935183791736161,
    9.818385381554666,
    11.566883336961734,
    11.931262717641001,
    13.51088522506046,
    11.947078745423557,
    13.464307934412965,
    13.291945437071664,
    11.577733911722548,
    11.559143364192822,
    13.302348768888473,
    13.536816440958496,
    11.82272038681591,
    13.539178779660089,
    11.828231394100161,
    11.594871093977883,
    9.876225176846084,
    11.921422582165373,
    13.140319140894185,
    13.05680254071878,
    11.229515305428318,
    12.945059288429297,
    11.147140655485595,
    11.064816889874965,
    9.235807023070077,
    13.25823393307535,
    11.462553872597532,
    11.27667498155925,
    9.444001249652203,
    11.267409456711025,
    9.469351424154386,
    9.284251521478582,
    7.45001248287147,
    11.458194403883876,
    13.201233911484692,
    13.57094453180597,
    11.929371852673489,
    13.52449574610446,
    11.826079493666818,
    11.6539347811764,
    9.939460609285948,
    13.198550144946296,
    12.17992252143171,
    11.956701440838351,
    10.241020465660561,
    11.900903572723367,
    10.189531900036334,
    9.956282734550449,
    8.237292415596086,
    13.35618197026953,
    11.559189538335806,
    11.476949801942862,
    9.647850775446802,
    11.300046585502438,
    9.498652312596942,
    9.419803168548455,
    7.5870625083961905,
    11.67846698449819,
    9.881352941092212,
    9.69655956691416,
    7.861905717173803,
    9.62233062420107,
    7.820811597590005,
    7.639147624545816,
    5.8010165043082225,
    11.6058278011373,
    13.30784675859573,
    13.520715369904034,
    11.774196552968617,
    13.475465205644053,
    11.727014695829757,
    11.590372672979319,
    9.833786783775423,
    13.338789063000213,
    12.027244319280424,
    11.831561395912498,
    10.073534642777547,
    11.849599434161746,
    10.086830199789752,
    9.88750987409034,
    8.1223098051889,
    13.216772270958595,
    11.30148045489289,
    11.328691159504142,
    9.390426111395577,
    11.225946183788883,
    9.307880830780896,
    9.336705416215128,
    7.3962745820589095,
    11.538359435113822,
    9.623065177303266,
    9.548359318155356,
    7.60448622909983,
    9.547515159440511,
    7.6294482466926965,
    7.555935329089902,
    5.610073964031187,
    13.21502044470087,
    12.070004517924573,
    11.927294064717346,
    10.180666337152331,
    11.816362025084377,
    10.06712030894775,
    9.93107865438712,
    8.173785616424917,
    12.191265058561083,
    10.434641424012293,
    10.237066340459139,
    8.479008618169201,
    10.190318191310526,
    8.426859249551246,
    8.228138825286702,
    6.462279995334324,
    11.62278295806518,
    9.707121032691512,
    9.733830622811483,
    7.795388766367639,
    9.564176999159017,
    7.646111347358036,
    7.674589159944125,
    5.734146587156941,
    9.94435051338431,
    8.028686506580993,
    7.953139598547814,
    6.009137393602392,
    7.8857362791038765,
    5.967669073538572,
    5.89366700349003,
    3.94778322638264,
    9.929092588466201,
    11.71267289608853,
    11.903458460744453,
    13.350392658223797,
    11.980634405901238,
    13.361987463216142,
    13.04712007522305,
    11.342576831433735,
    11.6327008428567,
    13.413545874129644,
    13.354691776383984,
    11.655829987083123,
    13.426970416165332,
    11.725654521987874,
    11.31447544753052,
    9.605886534093074,
    12.11628927163823,
    13.144852425173939,
    12.93244476774969,
    11.173448863195041,
    12.888166806185636,
    11.14136906379128,
    10.882836100276782,
    9.121957738017953,
    13.237990196985272,
    11.487892669219736,
    11.19146865538104,
    9.43223856883283,
    11.232020540237379,
    9.48190639267964,
    9.117624149171856,
    7.356709451093678,
    11.568682202272647,
    13.346554911266306,
    13.46068910517777,
    11.769027990060742,
    13.407664075405155,
    11.71865574431903,
    11.40074377894642,
    9.696188762345667,
    13.272032253762758,
    12.109824598291087,
    11.774850686170439,
    10.074107912538242,
    11.783166087822623,
    10.081541446563087,
    9.664890840778726,
    7.956228482416004,
    13.312840088454916,
    11.564025793510933,
    11.3532284360845,
    9.59176505751725,
    11.236980003211574,
    9.488080654147476,
    9.227743775416702,
    7.465564551368865,
    11.659007677414227,
    9.90692674006274,
    9.611554717540155,
    7.849909289499158,
    9.580822849560224,
    7.828568119092175,
    7.461332627138718,
    5.699092380531473,
    11.713075623743812,
    13.436386772851012,
    13.315549083076279,
    11.590415878147512,
    13.357226709484694,
    11.622349961897172,
    11.322759841726757,
    9.581607219748893,
    13.41552951472401,
    11.950564967512651,
    11.615364431598397,
    9.871740488491165,
    11.73215918133971,
    9.980815540750218,
    9.573465518885229,
    7.821629301434227,
    13.167516641354206,
    11.327715995817787,
    11.175758142366536,
    9.334209644461424,
    11.16403949872466,
    9.324209055844467,
    9.121833413331645,
    7.27990900373045,
    11.513839029567936,
    9.670495128957876,
    9.429878047886074,
    7.586167909053122,
    9.507818104152012,
    7.664472682695726,
    7.349073340045445,
    5.5052818771722265,
    13.319017996047851,
    11.992401737492443,
    11.721442640315352,
    9.996075526268013,
    11.694561554984086,
    9.958809538762461,
    9.659515436041522,
    7.917306678374023,
    12.1021656969194,
    10.358671524842027,
    10.019027241937659,
    8.275361889466224,
    10.069130681304532,
    8.317079759325079,
    7.909037937823111,
    6.156427679620267,
    11.57523401155114,
    9.735428252969667,
    9.580637737538417,
    7.739088455968344,
    9.497946082673096,
    7.658094371843051,
    7.454736875643209,
    5.612767857847451,
    9.921355836194843,
    8.077999935479426,
    7.833188722832312,
    5.989475623167275,
    7.841701093924321,
    5.998337863504744,
    5.681505786418542,
    3.837685521641869,
    11.779859571488807,
    13.525379493623651,
    13.289721836547535,
    11.580369800869361,
    13.294758021937243,
    11.594796748895249,
    11.283429913948783,
    9.563508004658065,
    13.462798888139298,
    11.938031444336465,
    11.586117719413705,
    9.871488281116907,
    11.66778858065403,
    9.95684110478959,
    9.539441178067145,
    7.817374205303948,
    13.10480967925105,
    11.305699865320612,
    11.125232407573638,
    9.297641710995007,
    11.038650346560923,
    9.233616746468156,
    9.027298046408507,
    7.198287565580673,
    11.426865306882153,
    9.627654502183212,
    9.325821058198418,
    7.492093522485997,
    9.360698668963472,
    7.555568752458873,
    7.219382053249282,
    5.384874569002009,
    13.418922866443996,
    11.986849871104871,
    11.709852154777032,
    9.998723303860443,
    11.651053511957222,
    9.950802687389633,
    9.636775826004834,
    7.91681255287565,
    12.066598892113959,
    10.356910794266728,
    10.005826844983682,
    8.289575435471475,
    10.023520535258056,
    8.31214228447342,
    7.889787429059753,
    6.167619220622974,
    11.52511324453803,
    9.724570232007128,
    9.5452827790199,
    7.715858065358696,
    9.382986515552055,
    7.572693964281502,
    7.368527767199983,
    5.5356656961906054,
    9.847088436428912,
    8.046453570077816,
    7.7455300153721085,
    5.909762694220639,
    7.704918810256446,
    5.894549535964976,
    5.5602837137873165,
    3.7221148111051967,
    13.554660923435621,
    11.829775662912724,
    11.56536457423217,
    9.818817137055152,
    11.600660129234312,
    9.851924940609106,
    9.559068007215142,
    7.801254619092898,
    11.95277021896208,
    10.19393662466565,
    9.846266844072264,
    8.087190494982957,
    9.972583741625966,
    8.209180380204003,
    7.798093303377577,
    6.032871086816606,
    11.371285175952753,
    9.438511591735711,
    9.364359532921679,
    7.420938544682638,
    9.303176290337472,
    7.357617808964187,
    7.258305677155279,
    5.306933367458283,
    9.692357193520502,
    7.75954911091545,
    7.562284472470864,
    5.615062363826875,
    7.624226479940366,
    5.678623092754202,
    5.446243629271223,
    3.492371679557049,
    11.97898282768745,
    10.23720599414842,
    9.970576367160543,
    8.223925488001248,
    9.937616821309252,
    8.188166341857382,
    7.895544343679049,
    6.136832575656052,
    10.359884566744942,
    8.601046576207695,
    8.249627648752856,
    6.490539343344499,
    8.30923016379583,
    6.545245697702848,
    6.1335303621824595,
    4.367617407051782,
    9.77671542328254,
    7.843359187862746,
    7.767694219254302,
    5.823959216184432,
    7.634586546786477,
    5.688661721328171,
    5.588922135331958,
    3.6372868198197947,
    8.097774050532106,
    6.164384728731144,
    5.964813961513568,
    4.0173571061445825,
    5.955603017078878,
    4.009631117141334,
    3.7767803724227607,
    1.8226642192372267,
    3.9535861522565883,
    5.747841018775437,
    6.131660133314733,
    7.923580434112925,
    6.116055037598079,
    7.910129660243916,
    8.238940644608043,
    10.030855628033466,
    5.732450882412381,
    7.5233677538325665,
    7.783809987458882,
    9.567267790443125,
    7.873394823508875,
    9.663640425536446,
    9.88911747712922,
    11.672563177628582,
    6.189965950214433,
    7.927454483725667,
    8.366045925043611,
    10.10225956283835,
    8.312884866392327,
    10.043074168162,
    10.421564902134772,
    12.15171966881492,
    7.955166712060987,
    9.681995569121664,
    10.006384726264873,
    11.723883089567849,
    10.041894210540143,
    11.754687119572822,
    12.054900539428228,
    13.298858124547019,
    5.604114428927311,
    7.393841482117538,
    7.780046489097687,
    9.56781917136049,
    7.707247772996632,
    9.496882084679543,
    9.828982665109937,
    11.616121975857018,
    7.380829270128023,
    9.166635662625744,
    9.431422651779327,
    11.210165984804613,
    9.464581674475756,
    11.25038122474468,
    11.478966502300526,
    13.25729424063459,
    7.839139953932974,
    9.573207909746127,
    10.013274994552024,
    11.746303909505208,
    9.891233112748951,
    11.620540733095059,
    11.996967277135985,
    13.37446222710236,
    9.602666048539845,
    11.325235859746613,
    11.653088887072634,
    13.36673917377531,
    11.619337522783052,
    13.331526611905076,
    13.42621404577911,
    11.678354672873525,
    5.790984048727524,
    7.521931275984316,
    7.941787982282314,
    9.659486733192857,
    7.952797642089946,
    9.683181964297104,
    10.048203343328007,
    11.765698785173452,
    7.558470123103012,
    9.288900095150476,
    9.592793261540068,
    11.303174036946583,
    9.699398496914656,
    11.42899079601094,
    11.697099859149871,
    13.407403004610337,
    7.986729400885678,
    9.683624042422803,
    10.128141854926943,
    11.816203158139128,
    10.10866754122678,
    11.79918130421327,
    12.172157426620036,
    13.214575992777789,
    9.730075904944886,
    11.422615474030955,
    11.76346962591047,
    13.436827934668436,
    11.811278804371312,
    13.45181342665131,
    13.340197003021363,
    11.5178905607132,
    7.421248416820319,
    9.151789253546362,
    9.565194442170053,
    11.28284491874959,
    9.518140388488614,
    11.248363847669186,
    11.613537353473738,
    13.330879775849208,
    9.18386333678078,
    10.913786134494515,
    11.214887397666462,
    12.92513797736735,
    11.264279504046218,
    12.993688062959539,
    13.261935651199543,
    12.13545865497706,
    9.616986161038076,
    11.3134146473175,
    11.751345334509367,
    13.439292576854568,
    11.66868218419749,
    13.359134825553586,
    13.391517012932594,
    11.569720734137181,
    11.355130454838278,
    13.046853880193314,
    13.385124277016608,
    11.913253527388669,
    13.371293307354737,
    11.807173494721335,
    11.696725352892514,
    9.873034245705725,
    5.821480693223368,
    7.5845818801650235,
    7.981892111356266,
    9.744715059823445,
    7.965135687317279,
    9.725808358337694,
    10.050896945452601,
    11.811566432651361,
    7.5853621456220335,
    9.339987951979758,
    9.629347665727856,
    11.379566685830895,
    9.697678812439802,
    11.446688200445653,
    11.694018061546888,
    13.440897906266583,
    7.965304294859543,
    9.694402793751918,
    10.125602138656077,
    11.854297099263816,
    10.084163014905288,
    11.804251159405528,
    12.167191045727634,
    13.107930054663596,
    9.723729513497721,
    11.439422316124682,
    11.765212334908528,
    13.357533638240447,
    11.802470507460162,
    13.382966865490232,
    13.18754291989137,
    11.36489173327928,
    7.4712475001514465,
    9.230450393681222,
    9.629903877378716,
    11.388936096133294,
    9.550051949639156,
    11.308387220733767,
    11.632499431482621,
    13.390830068878392,
    9.23334176508136,
    10.983254550731232,
    11.276679546192327,
    13.022464468300488,
    11.282177824545016,
    13.029090821601402,
    13.275610876317835,
    12.091724175059483,
    9.614290740338776,
    11.340117336066388,
    11.772794801339028,
    13.498340708402768,
    11.660935380166901,
    13.380430095582502,
    13.306630868824326,
    11.484400876395398,
    11.371147371999355,
    13.082662185939718,
    13.411889806106167,
    11.801544108409422,
    13.377924643278966,
    11.759512933800451,
    11.565644594014994,
    9.741198844492173,
    7.6514998964729815,
    9.35787674441824,
    9.777094954009366,
    11.47634974346603,
    9.795066775670106,
    11.498370445874722,
    11.84176129584199,
    13.540375200322496,
    9.399890914866692,
    11.103226566446626,
    11.422389495684458,
    13.111128890905265,
    11.511720526305208,
    13.209925005665415,
    13.482065453347976,
    11.999703726003883,
    9.762042787117819,
    11.45010973533897,
    11.886160403799325,
    13.280985417355172,
    11.879884059407587,
    13.203547663685187,
    13.217573373105996,
    11.288038806038331,
    11.498127742841366,
    13.180020839380521,
    13.467298420644335,
    11.536723116072597,
    13.472905501293251,
    11.56196985561902,
    11.476528773882196,
    9.543629170043847,
    9.281647109485128,
    10.987691532689597,
    11.40044180625371,
    13.099623073018035,
    11.356485113548409,
    13.059785803629351,
    13.402891803661117,
    12.050410588360243,
    11.025276738575116,
    12.728046827326065,
    13.044347659338191,
    12.369121549188666,
    13.073094919576016,
    12.329386569078613,
    12.100440794544944,
    10.355667742100577,
    11.392131174798974,
    13.079796009846518,
    13.5093575490667,
    11.704300984923748,
    13.43838434249843,
    11.55886337091215,
    11.573292028195922,
    9.643003816864967,
    13.123163011452258,
    11.978400632839778,
    11.892327145606453,
    9.959952047654062,
    11.829207412344518,
    9.917274849322384,
    9.832190469678409,
    7.8985658638609335,
    6.042425897210958,
    7.83659753735583,
    8.002599528981722,
    9.793925049085194,
    8.093250690957948,
    9.88731316106336,
    10.050230720930882,
    11.84151736911523,
    7.764885313864589,
    9.554920327429475,
    9.652691572223677,
    11.43579933833403,
    9.813255014937676,
    11.603063814835831,
    11.699358637897785,
    13.482360484933547,
    8.274762901921981,
    10.011240076449429,
    10.22425924792774,
    11.960307273889194,
    10.289314869016678,
    12.019461914280964,
    12.231072626503195,
    13.10114862104821,
    9.975636292307893,
    11.69714848025489,
    11.860485834912506,
    13.41596233463116,
    11.981430262790667,
    13.448028990042905,
    13.108634842638665,
    11.350423512511492,
    7.6902075583714,
    9.479917108146577,
    9.650025386234134,
    11.437050272138423,
    9.680401370719517,
    11.469944805006772,
    11.63738135184781,
    13.424121452521376,
    9.411704813740158,
    11.1968411574326,
    11.299446305423217,
    13.077720147630487,
    11.400174294522582,
    13.18522990031419,
    13.286239793546173,
    11.922763205971004,
    9.920798065831024,
    11.654117668121819,
    11.870126680121208,
    13.585601644276867,
    11.862909400662431,
    13.459725344485177,
    13.237104274693959,
    11.47865664153212,
    11.62114446864393,
    13.338923947594381,
    13.50596601253593,
    11.856231182160952,
    13.554875390436322,
    11.82630330961827,
    11.485989629328273,
    9.727538769747705,
    7.853102474255955,
    9.579004563527965,
    9.80589174979091,
    11.523544965126069,
    9.901058973883893,
    11.62687463803488,
    11.849793849093125,
    13.55834148136722,
    9.572185599330249,
    11.295903108316692,
    11.455154439568982,
    13.165394003204366,
    11.61719439353175,
    13.340878885081533,
    13.497921585804079,
    11.818396440691114,
    10.048460778568039,
    11.739145853793636,
    11.983695130373857,
    13.354354492178004,
    12.050472967861804,
    13.310771160007905,
    13.135978168264476,
    11.311033906730104,
    11.73868333474713,
    13.419999739691862,
    13.446703576190195,
    11.623027596617701,
    13.499796152361677,
    11.67724930589235,
    11.382175387839716,
    9.55672625091847,
    9.475464018659684,
    11.20123545021437,
    11.426715409320412,
    13.144326626540481,
    11.465657738875901,
    13.191237296338812,
    13.414017792984065,
    11.913824952940159,
    11.19249974586975,
    12.916007670470353,
    13.074864475362768,
    12.281152043521633,
    13.180951247773823,
    12.290828495114578,
    11.904691416392122,
    10.173727409757678,
    11.670822234437637,
    13.361365205717286,
    13.597055757956902,
    11.774007499245709,
    13.486578776565967,
    11.665335773050913,
    11.492089096649755,
    9.665595498230061,
    13.358868688989585,
    12.109760257337214,
    11.864767657413626,
    10.040594354067832,
    11.855834573467988,
    10.031760311180115,
    9.73821256936229,
    7.911233774681506,
    7.903305305196284,
    9.66545764014556,
    9.80905657924754,
    11.571196098736435,
    9.941663345405091,
    11.70222779440834,
    11.83763219879853,
    13.487150587799762,
    9.599990911703525,
    11.349933618058962,
    11.451819766634316,
    13.20062604014684,
    11.632344155859778,
    13.379494541448507,
    13.466421289847457,
    11.752333109289435,
    10.046091275781102,
    11.773551995220549,
    11.951686177537418,
    13.281342387962704,
    12.059045589259103,
    13.207579710808115,
    13.023989894188967,
    11.19989101824459,
    11.734409795207728,
    13.442085375496529,
    13.332894985895342,
    11.504452367153633,
    13.359215310700694,
    11.566694287787637,
    11.241825332792056,
    9.413337292730633,
    9.549923284247217,
    11.308447934991051,
    11.455604613394154,
    13.214110715268957,
    11.522846509447184,
    13.28096693717711,
    13.41802238572898,
    11.873730962286183,
    11.24603256518143,
    12.991775423514039,
    13.09786089023313,
    12.241662004220496,
    13.213516524068131,
    12.24226512634963,
    11.85169588917808,
    10.13741288715929,
    11.691771841854722,
    13.41629809969637,
    13.54729526440757,
    11.722627302782927,
    13.374331021341982,
    11.581185306689019,
    11.398797965142533,
    9.57333537350657,
    13.379680330686988,
    12.072473003458892,
    11.774169854948035,
    9.944720158671359,
    11.734507451663271,
    9.94028686543234,
    9.616589280643623,
    7.786771338702278,
    9.709222176228149,
    11.407821971086777,
    11.601738441779924,
    13.298832873103976,
    11.74328502049657,
    13.441544957818074,
    13.518262630783429,
    11.778901283039488,
    11.400142363912225,
    13.090635314208013,
    13.242743680364507,
    12.080841229348906,
    13.426908026725632,
    12.166573293895713,
    11.77563043264458,
    10.032055781973328,
    11.819714254722086,
    13.4430866180379,
    13.375229000628408,
    11.44794319677635,
    13.291710918030871,
    11.376527200709523,
    11.290136567099674,
    9.36054749998861,
    13.49739773468641,
    11.800553317661771,
    11.602439387345505,
    9.670995043340326,
    11.64905926937046,
    9.733792393105764,
    9.506974286105816,
    7.573984419922715,
    11.331209378610499,
    13.029757817315259,
    13.22251945279801,
    12.21735704761136,
    13.303985053796469,
    12.145257008040659,
    11.877011274380186,
    10.134384685732876,
    13.02037487863935,
    12.580582861520869,
    12.231588035184219,
    10.498406047141977,
    12.265634662588667,
    10.521921544777202,
    10.134069300521691,
    8.38738379198652,
    13.441626678134423,
    11.86274951595399,
    11.793653573311818,
    9.864600948436873,
    11.646743756170384,
    9.730750546429912,
    9.64507256863788,
    7.7147445825763885,
    12.13267298350954,
    10.220216048458893,
    10.019665452050639,
    8.086693378406526,
    10.004064705836386,
    8.087992000161663,
    7.861910112006906,
    5.928174387901732,
    5.849459715682011,
    7.629437604572322,
    8.016636697868915,
    9.792057215582552,
    8.008731855274787,
    9.788166607269666,
    10.123319027889107,
    11.898734985284143,
    7.61117131519654,
    9.389775499724333,
    9.66012950353328,
    11.429613422586304,
    9.751155255960201,
    11.528788749286228,
    11.765082080193123,
    13.534521091239759,
    8.08297394688297,
    9.808805713275234,
    10.247314218773884,
    11.97030059702879,
    10.20399569506152,
    11.921106160122484,
    12.302800746739223,
    13.139222383760966,
    9.82790473340501,
    11.546640424597927,
    11.87681942487431,
    13.408912133750686,
    11.914588188273495,
    13.360153051412729,
    13.185927962744286,
    11.437580800617836,
    7.499822541937702,
    9.275435418280706,
    9.664626583968051,
    11.436223661979936,
    9.598781294173143,
    11.374392852866068,
    11.712476792257753,
    13.483688848608704,
    9.259074938066792,
    11.032925665625799,
    11.307176665226898,
    13.072351937012542,
    11.34119298241341,
    13.11496367937779,
    13.353919470177194,
    12.009942807266153,
    9.732045439838497,
    11.454557500097877,
    11.894251891144853,
    13.550526380471604,
    11.781565187997343,
    13.374118967008446,
    13.265977638281045,
    11.518731084720658,
    11.475055018487218,
    13.189769243773133,
    13.52309679460201,
    11.85282841383675,
    13.483359678767009,
    11.73972072264722,
    11.565941793689504,
    9.817068179168407,
    7.637848527065437,
    9.366352197854091,
    9.785238773502204,
    11.49934961061641,
    9.797043422018636,
    11.524794351870721,
    11.890485277746269,
    13.586596824142797,
    9.39450369555899,
    11.12276027335543,
    11.428666723420534,
    13.136533242701358,
    11.534461290757305,
    13.261751029615079,
    13.532142005278054,
    11.896808137504518,
    9.833536750613034,
    11.5276046833206,
    11.97159248341013,
    13.303246705284602,
    11.952400037529683,
    13.201923032329066,
    13.163198491252475,
    11.335883495790174,
    11.565870880214149,
    13.256466764422962,
    13.433918406832493,
    11.604056129106155,
    13.397130135350586,
    11.567524249923524,
    11.462664290259612,
    9.632531242197416,
    9.267064340691627,
    10.995061810680948,
    11.407978081073203,
    13.122004820377656,
    11.362144427504521,
    13.08970353522126,
    13.455582336086087,
    11.941430099873976,
    11.019389351006556,
    12.747066584509387,
    13.050295301434275,
    12.264316718874472,
    13.099179182739787,
    12.18301408445182,
    11.984841559637728,
    10.25164129378526,
    11.462742906903806,
    13.156229146839902,
    13.55494143672767,
    11.727170854556435,
    13.383330737997309,
    11.556310661446032,
    11.519000732023155,
    9.69002980306821,
    13.190435266193342,
    11.955734374030484,
    11.8581246596971,
    10.027218059102404,
    11.753235794510239,
    9.921910461445101,
    9.818463876575931,
    7.986655474064683,
    7.717068419434414,
    9.463849450321472,
    9.86686238239647,
    11.612345542480975,
    9.857007015128719,
    11.600011057709235,
    11.935256902977425,
    13.53407833355826,
    9.464051397721404,
    11.20578168595692,
    11.505532179516432,
    13.241550039787088,
    11.575436100487437,
    13.310609460098163,
    13.546475659769168,
    11.8376126588581,
    9.856479569230887,
    11.572406152218672,
    12.00627239796897,
    13.241543452280007,
    11.973063403702444,
    13.16306204981849,
    13.069348928593506,
    11.248832622272042,
    11.595730200228797,
    13.302364642356427,
    13.310156254980562,
    11.48936687231652,
    13.30870085787318,
    11.516400926804357,
    11.31907005605921,
    9.496414222645239,
    9.366651988601413,
    11.109712123243995,
    11.514480109425522,
    13.256491185385535,
    11.440535680469996,
    13.181759968232496,
    13.51592608243983,
    11.922819453606921,
    11.111562700172298,
    12.848929523793025,
    13.152311125243022,
    12.218447114157893,
    13.158756377503927,
    12.18342263672277,
    11.93472524718452,
    10.225800664912548,
    11.505345556151758,
    13.218117469734759,
    13.504865826245997,
    11.685777194014053,
    13.332475716538708,
    11.539650122211606,
    11.447546095289432,
    9.625299551854473,
    13.24278533966055,
    11.953190823239332,
    11.754662856316052,
    9.933281722225088,
    11.686819969245416,
    9.892939211983006,
    9.697158648157664,
    7.872707251222293,
    9.49628499955219,
    11.198933065977695,
    11.61941775920251,
    13.314097074227021,
    11.636122363356716,
    13.335028250409682,
    13.555016452942246,
    11.81767880811676,
    11.23523278207644,
    12.93563416582357,
    13.257654936985542,
    12.056661127122318,
    13.345576065299309,
    12.089312102054247,
    11.858102132725984,
    10.112650230523364,
    11.606697275666754,
    13.291166039319394,
    13.333778025315665,
    11.402393174520585,
    13.24038805932172,
    11.324621576191145,
    11.34302401694303,
    9.409031166462196,
    13.332735123494931,
    11.669793691306827,
    11.583821167685583,
    9.64985402832655,
    11.592844693700362,
    9.6768892598658,
    9.59272625482305,
    7.656270648142858,
    11.125423971521146,
    12.827628122045319,
    13.242076740050233,
    12.179100915661259,
    13.19742757724604,
    12.070886920028089,
    11.913155829166561,
    10.172509820389639,
    12.860105762658241,
    12.450225148599696,
    12.218216252073145,
    10.480953478042863,
    12.191997685278785,
    10.44430841668968,
    10.216189660780852,
    8.467481235357038,
    13.235784910907212,
    11.74010621908356,
    11.757890908631419,
    9.824330727054134,
    11.595895979085853,
    9.678932549870428,
    9.697890299389313,
    7.762975321685348,
    12.007928774494697,
    10.092386743243594,
    10.007628635891717,
    8.071589985686417,
    9.948352420107245,
    8.031200179402541,
    7.947457601347176,
    6.010124164829321,
    7.928012150076025,
    9.707276612240227,
    9.885141889806746,
    11.660312740947049,
    9.978673688190842,
    11.757773528190492,
    11.932701961781449,
    13.407616626241364,
    9.639626143261257,
    11.416615609700042,
    11.527088308931965,
    13.296437265823114,
    11.687964472840227,
    13.464693135383415,
    13.372761889207164,
    11.672638640805712,
    10.158316428655237,
    11.881889868587518,
    12.10390090676263,
    13.288935824157184,
    12.172867594224233,
    13.224494274849665,
    13.002909093382192,
    11.244214571151634,
    11.845660250858694,
    13.557926030821177,
    13.310107609272428,
    11.554258441977382,
    13.329796741271602,
    11.584580971411519,
    11.243961560448849,
    9.485249294228577,
    9.575369394838422,
    11.35050869110253,
    11.532077265027628,
    13.30332367949845,
    11.565122892265766,
    13.340172436502113,
    13.4911674873779,
    11.79430307321488,
    11.285798177248001,
    13.058326428871176,
    13.173184240400419,
    12.161697605890678,
    13.274041671367854,
    12.14334761820825,
    11.758018560861585,
    10.057675051878427,
    11.804027296402468,
    13.524682872222987,
    13.486950999382337,
    11.730212969984386,
    13.344130161095748,
    11.602768525407711,
    11.380636886071095,
    9.621699816834674,
    13.490681409893998,
    12.037063655745301,
    11.75130078548713,
    9.994348682641887,
    11.708508325598043,
    9.962826666730551,
    9.621269097526213,
    7.862310248988,
    9.696857180495922,
    11.419680558735955,
    11.648596370167462,
    13.362624460680074,
    11.743960103226273,
    13.46673397847376,
    13.405072357159362,
    11.681154714572113,
    11.407557433581832,
    13.128778177192139,
    13.290525948524404,
    11.975476518613327,
    13.45206123404984,
    12.05131302403144,
    11.65970912572796,
    9.92751028181444,
    11.892131959100059,
    13.436726419358648,
    13.303511808377738,
    11.474373226125063,
    13.255981521043934,
    11.429743869572746,
    11.259994804227652,
    9.429033666444624,
    13.573888045922105,
    11.799669840364428,
    11.565033353683468,
    9.734039350255175,
    11.61997434884053,
    9.789787291630839,
    9.495368497229096,
    7.663225731151822,
    11.31855917643873,
    13.041200497860611,
    13.26884656595999,
    12.112005343916197,
    13.308269967809338,
    12.036296920471667,
    11.763149691081168,
    10.035578349626745,
    13.027469300924668,
    12.452728567895699,
    12.111458320586173,
    10.391219837836132,
    12.1407865732578,
    10.405686627305071,
    10.017568799227197,
    8.281883459744936,
    13.51383355836587,
    11.859673593582833,
    11.721897639704155,
    9.89213126850359,
    11.611508072107636,
    9.783429670013849,
    9.61546970179254,
    7.782710161919598,
    12.053201286478084,
    10.222373006306483,
    9.98087769445274,
    8.149085783233538,
    9.975440384532964,
    8.143457092324265,
    7.850818848653313,
    6.016893790533727,
    9.788031286524484,
    11.532232703704969,
    11.691447264809224,
    13.43561735586689,
    11.826079121533972,
    13.568347987109883,
    13.340350045317713,
    11.627755178329515,
    11.474691690445688,
    13.210034968012744,
    13.326214268539673,
    11.934786753936438,
    13.50699823680472,
    11.988653772374608,
    11.597815902017514,
    9.883427878211107,
    11.92692116379027,
    13.411408634455485,
    13.246042800171455,
    11.42220140524141,
    13.139436141225229,
    11.347980078086106,
    11.164246598747887,
    9.34014364599299,
    13.552936680718586,
    11.76322198439813,
    11.462908545566158,
    9.63439211534363,
    11.491967732611695,
    9.69935828047426,
    9.370245591501938,
    7.541689906520028,
    11.434162599644203,
    13.17510198801133,
    13.337480628998186,
    12.086057131210438,
    13.4063529978168,
    12.005535156975832,
    11.72718104831251,
    10.01432638794042,
    13.12007202380979,
    12.41421016405789,
    12.080991308311724,
    10.375903033907164,
    12.080173541462418,
    10.376026609799087,
    9.983013577225055,
    8.268436539739032,
    13.572223176166474,
    11.853980897362481,
    11.688078707920184,
    9.8634095369385,
    11.514758619873902,
    9.721585629334374,
    9.539054660017353,
    7.713588001206289,
    11.99576196412554,
    10.205675358167094,
    9.904008914881913,
    8.074474674470153,
    9.867258409379113,
    8.072950417939985,
    7.745008677174555,
    5.91512369709768,
    11.550354242646186,
    13.244137863591945,
    13.442610059268826,
    11.91904868514532,
    13.582948225518178,
    11.912224901777261,
    11.641241946302697,
    9.899960040456506,
    13.23455745381813,
    12.271257477287001,
    11.926444580241,
    10.189504076068095,
    12.02529512379205,
    10.280793189920908,
    9.88462333212574,
    8.137954220682202,
    13.477876673741163,
    11.563335674780717,
    11.499110913706813,
    9.567627974144592,
    11.416132502437524,
    9.495499874947184,
    9.412667808420078,
    7.478517234497847,
    11.829173215203108,
    9.914387299159179,
    9.714165790041797,
    7.779623211350684,
    9.767155797753036,
    7.8462140813072105,
    7.615816903735516,
    5.679355856820722,
    13.171748321613501,
    12.32003638475077,
    12.064069291775102,
    10.337457259762406,
    12.00272883900844,
    10.26665620518663,
    9.999155918548976,
    8.254380893358476,
    12.431217398654514,
    10.693938575045879,
    10.34227344323515,
    8.604863202508916,
    10.383051342341513,
    8.635166033956615,
    8.242368471571561,
    6.492326821601069,
    11.899146519189005,
    9.9813775356292,
    9.916079660402248,
    7.982500161944102,
    9.770463064345966,
    7.848844099095517,
    7.766866167591933,
    5.831819679690822,
    10.250429233918734,
    8.332404249535928,
    8.129445536681825,
    6.193073297195249,
    8.121481159319647,
    6.199556049397241,
    5.969998442254678,
    4.032653990232377,
    5.79605471173071,
    7.588358560817795,
    7.959123960795711,
    9.748190738785658,
    7.953855190967431,
    9.745842254502714,
    10.065444902938795,
    11.854511680036413,
    7.5544308735689505,
    9.344233926182778,
    9.601780545936732,
    11.383511583971412,
    9.693710688897859,
    11.482734709606593,
    11.706454439939382,
    13.488160795877931,
    8.011109644129835,
    9.73872192702105,
    10.173758552552005,
    11.898553528754327,
    10.120674573828833,
    11.837446221975576,
    12.22281450752893,
    13.187956808767149,
    9.761159700929612,
    11.481006141910092,
    11.80795428883226,
    13.459601711032882,
    11.840285298588903,
    13.411782899039567,
    13.242695427664504,
    11.489072924243159,
    7.434113624160016,
    9.220739625798684,
    9.596403480271714,
    11.380084632132615,
    9.536133151024462,
    11.322709636327573,
    11.645322888607692,
    13.428346523779313,
    9.19186999125787,
    10.975687342365815,
    11.238872040158514,
    13.014883891273277,
    11.27557305382026,
    13.05938101314539,
    13.28633228261596,
    12.048644658746401,
    9.648955809574007,
    11.370948295163622,
    11.810847820376036,
    13.530291983707091,
    11.694134637068386,
    13.401551283747427,
    13.298627473461693,
    11.545289454542182,
    11.398466819983614,
    13.112146990415049,
    13.444898862498269,
    11.881679967416922,
    13.412130281949711,
    11.76890420921119,
    11.601388966275916,
    9.846158748537697,
    7.616575164931823,
    9.347522287243269,
    9.758067570366395,
    11.475524312872752,
    9.77419448830468,
    11.504575378055307,
    11.863202292112677,
    13.580476993895712,
    9.367962245314303,
    11.098372463229847,
    11.40033217145681,
    13.110693545065422,
    11.507235855312345,
    13.23682037856097,
    13.503735034639082,
    11.933960107508648,
    9.774373264064705,
    11.468518393575984,
    11.910374208757244,
    13.339332716041692,
    11.879898862763701,
    13.23750251231886,
    13.212641097890131,
    11.371410975067171,
    11.509595450500747,
    13.200145785916733,
    13.485861214886803,
    11.642269547980824,
    13.448779540616831,
    11.605062321671024,
    11.515212398856471,
    9.670933376208689,
    9.226311437452129,
    10.95683785654699,
    11.363537000829139,
    13.080892755913762,
    11.322931396296546,
    13.053137089653951,
    13.411801790067617,
    11.96124289096964,
    10.975574741241479,
    12.705497481086388,
    13.005431482141011,
    12.28970775576963,
    13.055972407254067,
    12.206582352134445,
    12.033967401522228,
    10.276578814894236,
    11.382207329838813,
    13.075236914218882,
    13.513248216973757,
    11.750652709647575,
    13.419229710914284,
    11.579948784125232,
    11.554992992185571,
    9.713572669701453,
    13.114418717750212,
    11.981068015733662,
    11.897029296433603,
    10.053429962332705,
    11.791200476511467,
    9.947301593981509,
    9.857464125868034,
    8.013014753361134,
    7.657628473531146,
    9.41634997695962,
    9.80592409231086,
    11.563897407414439,
    9.793915931589009,
    11.549275770523543,
    11.872538587650489,
    13.59725223424822,
    9.40409500429863,
    11.156178144355051,
    11.444831099853417,
    13.191890709577876,
    11.513273128463931,
    13.259049560509187,
    13.507833939419982,
    11.9072256775293,
    9.785952607688252,
    11.504397444860045,
    11.933310694917497,
    13.292715043645664,
    11.890852776121974,
    13.213495971932517,
    13.122378522576362,
    11.298916172184589,
    11.529654302226621,
    13.23799198008172,
    13.368411964478025,
    11.544907087947315,
    13.364497553012859,
    11.56926430858859,
    11.376167329546362,
    9.551013834319548,
    9.295449134269177,
    11.048716097937435,
    11.44308611228612,
    13.19573657740528,
    11.371601825910352,
    13.12361890853589,
    13.445505172789531,
    11.960109062905016,
    11.041395765460933,
    12.787542534757014,
    13.08182864927389,
    12.264412262864969,
    13.089746914733013,
    12.226851599847409,
    11.992496161169733,
    10.269162603503625,
    11.423688788685002,
    13.136623639294244,
    13.53768604663784,
    11.714646009254002,
    13.365354910130781,
    11.568858561999281,
    11.480393877765732,
    9.654048960063136,
    13.166898467610775,
    11.98495377314898,
    11.791621583315795,
    9.966833786804791,
    11.722492008387702,
    9.92456481336841,
    9.73416177015653,
    7.906144477247113,
    9.467558026028176,
    11.173464534690519,
    11.58716751879202,
    13.285443998729441,
    11.603784703349808,
    13.306266240618738,
    13.616739198740623,
    11.851602293368096,
    11.203662688387475,
    12.906821264191802,
    13.225057824485296,
    12.098165801751737,
    13.311799921946156,
    12.127719422250888,
    11.927852915223504,
    10.154055390920854,
    11.549094575139739,
    13.234003484256922,
    13.384125113206464,
    11.438790539265579,
    13.289086260071082,
    11.360430852350197,
    11.391965565781867,
    9.444823742064331,
    13.277458018748831,
    11.70867635216343,
    11.638057292954297,
    9.690580380684533,
    11.644141612863473,
    9.715189160591448,
    9.645751487122414,
    7.696526106716105,
    11.07721453818386,
    12.782589351567601,
    13.192107075358262,
    12.201201603923892,
    13.150620831169388,
    12.092680687654152,
    11.96023396293888,
    10.19439694191454,
    12.810978748611642,
    12.476824378266178,
    12.27523606263862,
    10.510641708269862,
    12.243606256308583,
    10.470415461775124,
    10.271062297939228,
    8.496666377332861,
    13.156863606677556,
    11.764039745897179,
    11.793945875412081,
    9.848182637837612,
    11.631555980027548,
    9.702799082957917,
    9.733945959015397,
    7.786768462717492,
    12.04600972894231,
    10.11863899209023,
    10.047877991508576,
    8.099971260338089,
    9.986432007462547,
    8.057384444527095,
    7.987713040313064,
    6.038448400563271,
    7.86150387403728,
    9.653445357839995,
    9.820043231432518,
    11.608818000420298,
    9.912328282329248,
    11.704159236697254,
    11.867667586076452,
    13.464378083992944,
    9.573866497438145,
    11.36240598627162,
    11.461656669361005,
    13.243210759560688,
    11.622194506470326,
    13.410517610545469,
    13.446339941014642,
    11.734604928613587,
    10.066729397525389,
    11.791020544202349,
    12.01592196435935,
    13.332247182041733,
    12.079119451253414,
    13.26944153134747,
    13.05158365756343,
    11.289159336337505,
    11.762691605227976,
    13.474167954536354,
    13.357480005247877,
    11.597854355292927,
    13.38066379492328,
    11.631042810750323,
    11.294473755369559,
    9.531972788357539,
    9.498682506656941,
    11.285052903390854,
    11.457048425899192,
    13.24037199074345,
    11.487542110839632,
    13.273658363574175,
    13.442838832587885,
    11.823341236301903,
    11.21076054777625,
    12.99347483194931,
    13.098493562772763,
    12.200666775165708,
    13.197408302273935,
    12.175516788829128,
    11.802520880333239,
    10.090650778741466,
    11.703549796979788,
    13.422562015396727,
    13.514327892102777,
    11.752793194815146,
    13.369995988797292,
    11.623876425984538,
    11.406074829124343,
    9.642746335043554,
    13.39932440495841,
    12.060799996724182,
    11.779989602626513,
    10.01808146714647,
    11.736113737064791,
    9.985054109439774,
    9.647528875844085,
    7.8840924532634125,
    9.662244167340472,
    11.387985148128498,
    11.614198722442733,
    13.331578440670961,
    11.71013297443178,
    13.435790215971487,
    13.452450713775528,
    11.705407635422134,
    11.372589067084272,
    13.096262770303737,
    13.255531833021708,
    12.002142372605606,
    13.417596641496734,
    12.079934972681151,
    11.713524992270269,
    9.95615225650204,
    11.816773284052545,
    13.464653443772972,
    13.342166008832567,
    11.500919075531666,
    13.29844930834544,
    11.459078822234208,
    11.300916594004963,
    9.457559741353968,
    13.504538449452573,
    11.828580334117508,
    11.603749699088802,
    9.759929521116138,
    11.664423819706686,
    9.820602596755977,
    9.537951861999282,
    7.6928517777567835,
    11.267683654798024,
    12.993229103542983,
    13.218444802159635,
    12.125690138988965,
    13.25650311946634,
    12.048106716678197,
    11.794557409292807,
    10.046584707003849,
    12.977189331505246,
    12.470046073560802,
    12.156462629962741,
    10.409889930008887,
    12.178505929096527,
    10.42060424290396,
    10.054528857232883,
    8.296478343808499,
    13.420721868521088,
    11.876652754351795,
    11.749946098934053,
    9.908698389063735,
    11.639192286412598,
    9.799563807465029,
    9.641644205549794,
    7.798015846950742,
    12.08377567464385,
    10.240579627516091,
    10.010549670273296,
    8.166727627569658,
    10.004733650538542,
    8.16071158910602,
    7.878013503987183,
    6.032688689154062,
    9.712262831170284,
    11.468727212931618,
    11.617936673548964,
    13.37439398341749,
    11.750341871604856,
    13.505052442369347,
    13.410969485022616,
    11.68657390675263,
    11.40244605020395,
    13.148288082364186,
    13.2539524976956,
    11.999269183494578,
    13.43473498996886,
    12.051774539100077,
    11.675769248028846,
    9.949076909923441,
    11.83656894399601,
    13.45754014362624,
    13.294531962500704,
    11.468269528890087,
    13.188782756227845,
    11.394536429500523,
    11.213264446188203,
    9.3867603438145,
    13.520678612381777,
    11.811266330865466,
    11.512830951931956,
    9.682746638746043,
    11.543726245570447,
    9.7479744800205,
    9.421737313916337,
    7.5916035566111795,
    11.34904113345014,
    13.10033446029254,
    13.254663049682287,
    12.123554999647595,
    13.321592963252133,
    12.036412787522801,
    11.769756390806048,
    10.045269095345567,
    13.039055576378503,
    12.456646911526878,
    12.139688961824124,
    10.419378059099028,
    12.12768227074957,
    10.410496544289664,
    10.031891635724573,
    8.305026836983027,
    13.473199867559465,
    11.87907562908625,
    11.716377875190489,
    9.88855594539105,
    11.542142313876852,
    9.745003264402008,
    9.565843021148508,
    7.737001226111916,
    12.026744149478912,
    10.23276960184092,
    9.934576992567019,
    8.102850530862622,
    9.896991126404144,
    8.098279227185671,
    7.773554452909281,
    5.941286368012365,
    11.505803517579022,
    13.202806680811868,
    13.398233174403957,
    11.943395820659198,
    13.539116181295459,
    11.936713119871934,
    11.691182343929169,
    9.92454285036386,
    13.19182885824007,
    12.299455803852018,
    11.98508245526973,
    10.219411119165906,
    12.082019021340763,
    10.309314806637362,
    9.942953261561948,
    8.16908716973214,
    13.520120004167532,
    11.590084395857595,
    11.539172945980068,
    9.593787536935416,
    11.459097760087388,
    9.52346897349939,
    9.454052155672358,
    7.506176885963165,
    11.873675683190957,
    9.94320931098986,
    9.755399921372558,
    7.8078922255916225,
    9.812492707297917,
    7.876370175844013,
    7.659506263812949,
    5.710087210026764,
    13.111242001717468,
    12.33383211264254,
    12.105359794410475,
    10.352024838356932,
    12.038021833804935,
    10.27787344716073,
    10.033144592809052,
    8.265681871558986,
    12.477655971272817,
    10.711934898060251,
    10.3924790561766,
    8.626734821357532,
    10.42323730656948,
    8.649945205782936,
    8.283899517116417,
    6.5094045423503,
    11.928731196652665,
    9.99776081956059,
    9.94478624679822,
    7.998940801230149,
    9.798974001909418,
    7.863328179180513,
    7.793928289247349,
    5.846035125332745,
    10.28217121841605,
    8.350788299121904,
    8.160672517945248,
    6.212752872224998,
    8.152100308096912,
    6.215964705725543,
    5.999013847596638,
    4.049566639712628,
    7.677935842812039,
    9.457282377662489,
    9.833538902447849,
    11.607670269056364,
    9.83361809870403,
    11.612312370834811,
    11.939451412690318,
    13.506722476636744,
    9.424052480113495,
    11.202297542066459,
    11.469719299318536,
    13.238474747935799,
    11.562667690190915,
    13.339875673180359,
    13.532404639163648,
    11.824877002737837,
    9.886510262567606,
    11.605693641542734,
    12.041170444135442,
    13.299533366053264,
    11.995552387904997,
    13.18845448176091,
    13.084493742237004,
    11.33180453795051,
    11.621411398498498,
    13.335132353486397,
    13.353477970178393,
    11.59886648235632,
    13.299238378970283,
    11.549877246805003,
    11.38191147033429,
    9.627095843167321,
    9.314960950249773,
    11.089243145222884,
    11.469533133537324,
    13.238999780237517,
    11.413401841249293,
    13.187678630228707,
    13.51729934092163,
    11.869577100977942,
    11.060159301475434,
    12.833112724700799,
    13.105392523459848,
    12.182502770112798,
    13.14227547412628,
    12.097446358413537,
    11.89466209681459,
    10.186717234703732,
    11.523413914390204,
    13.23746534375051,
    13.4758738848862,
    11.721639295345042,
    13.290673198186646,
    11.545737891183785,
    11.44333535639302,
    9.689087886447673,
    13.25747481131506,
    11.93489998999214,
    11.777381546030796,
    10.020927988052046,
    11.657992401659873,
    9.906922991561139,
    9.740558981538666,
    7.984104842615328,
    9.456431476089868,
    11.184896617259751,
    11.595636791575512,
    13.309663434993155,
    11.612113553228284,
    13.339849045375658,
    13.488242024651342,
    11.739793814709062,
    11.199517423446856,
    12.927694767356947,
    13.231814447148817,
    11.989164667766808,
    13.338035746693695,
    11.977155483793434,
    11.810638804389496,
    10.045753288194884,
    11.613983524299243,
    13.305886339071112,
    13.306416514263,
    11.457019681623908,
    13.202786263081057,
    11.354715475427254,
    11.338781683947825,
    9.488614707735435,
    13.340083026288315,
    11.679148434142594,
    11.606759862649819,
    9.752597260527766,
    11.56999895375437,
    9.71570735022895,
    9.635033721522285,
    7.780399350566946,
    11.0659094498087,
    12.793903613846386,
    13.200968306900439,
    12.086936696189456,
    13.16084891448899,
    11.94791599948702,
    11.831323556296349,
    10.082017456437452,
    12.807024456674688,
    12.322575537928373,
    12.15584170570777,
    10.401088878671812,
    12.08496649678452,
    10.319413892081739,
    10.153489746286938,
    8.387875082376134,
    13.22158845093967,
    11.729658116140145,
    11.716973764485976,
    9.867546447796856,
    11.545077301505131,
    9.696693402785836,
    9.680746033296908,
    7.830304636469169,
    11.945543865929611,
    10.091565302030393,
    10.017075232475243,
    8.162862627911261,
    9.912097088673725,
    8.05754129349678,
    7.976936371970362,
    6.122049305147616,
    9.539495047824442,
    11.284103108973348,
    11.680215406346854,
    13.422994714114413,
    11.67349474059293,
    13.413601371577585,
    13.45654103589606,
    11.738145529671367,
    11.2735373423524,
    13.013979094095415,
    13.312437152034693,
    11.97728743680565,
    13.382175629754887,
    11.998886339859148,
    11.764398679423003,
    10.040724739700153,
    11.659803375198422,
    13.347348169534207,
    13.255012999065777,
    11.433224210372543,
    13.14768037057857,
    11.353799589286702,
    11.262717647540779,
    9.439218506762991,
    13.389220475505713,
    11.695120196512109,
    11.49899852134417,
    9.675493250152945,
    11.496930992216582,
    9.701569832945257,
    9.506500684883076,
    7.681347108338112,
    11.176276007169054,
    12.916055587361676,
    13.316103737302644,
    12.086194470508575,
    13.24852938154461,
    11.98851761565135,
    11.819650650418629,
    10.100965343656158,
    12.909521208875747,
    12.344053703650012,
    12.119858246749574,
    10.399242265622341,
    12.078973754873214,
    10.360988016246514,
    10.126645144787908,
    8.402564862508743,
    13.296557570821653,
    11.769747024964886,
    11.678216630569684,
    9.855150398804597,
    11.505694166100467,
    9.709152418917922,
    9.62072607693947,
    7.794341680875247,
    11.911538506016559,
    10.117465387780957,
    9.922202064347193,
    8.097413699366317,
    9.854914495843321,
    8.056853114721306,
    7.864484179873085,
    6.036466598886088,
    11.306211776137626,
    13.00863173271915,
    13.424092275815298,
    11.90741832078052,
    13.439702886396402,
    11.868956429908756,
    11.739696907799825,
    9.970622349104152,
    13.034842678010508,
    12.17317252985216,
    11.976740659182415,
    10.205926330484505,
    12.01730071731426,
    10.238400419656672,
    10.041293380414338,
    8.261572954031468,
    13.386784398905734,
    11.471191767275597,
    11.507234788520364,
    9.556007147725126,
    11.41257441770927,
    9.477406042758542,
    9.514910876219837,
    7.5617321972304605,
    11.752256304657548,
    9.818790098616686,
    9.750789003134441,
    7.798274902902012,
    9.760895276584026,
    7.825003273957537,
    7.758266866346556,
    5.803858813735552,
    12.915595022648976,
    12.214708404371283,
    12.077018349512615,
    10.319688640335855,
    11.975913359479637,
    10.211434949339012,
    10.08273104056889,
    8.31284494921745,
    12.357673430336956,
    10.58705077882637,
    10.388608212929757,
    8.61771246675791,
    10.360281379114273,
    8.580641708189784,
    8.384129105962215,
    6.6036942216385475,
    11.814205659226868,
    9.880608593516959,
    9.916456782138251,
    7.964676597858551,
    9.754621830799941,
    7.819297247651374,
    7.856437533922396,
    5.903188966740139,
    10.162413643334862,
    8.228115521413901,
    8.159996557707103,
    6.2069375230519785,
    8.102819626680038,
    6.16678153770814,
    6.099791847921825,
    4.145312655244661,
    9.73715560218581,
    11.515462318827224,
    11.693188976657932,
    13.46719583961885,
    11.7878157407694,
    13.56595884728885,
    13.315040060592985,
    11.606863217006502,
    11.441099582310729,
    13.217448303667105,
    13.328558649036134,
    11.91851958506825,
    13.489386146976056,
    11.951962518007887,
    11.58137941872026,
    9.868554556198404,
    11.937402393183605,
    13.418699079732582,
    13.236321286766515,
    11.47636524321057,
    13.157339453884806,
    11.41191700299816,
    11.194643289054946,
    9.431634804353067,
    13.526759454304491,
    11.776285109562009,
    11.495565136647087,
    9.735035322481064,
    11.517224122905048,
    9.766524930692757,
    9.42872266602722,
    7.665568702571957,
    11.373058904726587,
    13.146496590009036,
    13.328844112678972,
    12.037154694724894,
    13.361208729507386,
    11.94316652023792,
    11.673954981478218,
    9.965728451756155,
    13.076532297501549,
    12.343624654816999,
    12.043570068662369,
    10.3387802298766,
    12.018405891968072,
    10.310927774884547,
    9.937286607160358,
    8.224307691752614,
    13.573066390657893,
    11.840986719126912,
    11.659156417925093,
    9.896888728771767,
    11.512995116136517,
    9.766246510237929,
    9.549049275056674,
    7.785116287818808,
    11.950752110726732,
    10.198571720442036,
    9.91799554701713,
    8.155214933853692,
    9.872553191615216,
    8.120372750473425,
    7.781570942814872,
    6.017447761346627,
    11.500363868924774,
    13.223139817715571,
    13.451446164557453,
    11.834436794078702,
    13.54744007077532,
    11.825351944954885,
    11.574282602690046,
    9.82256323793069,
    13.20385573775583,
    12.166165352826008,
    11.862377617293063,
    10.106525859969217,
    11.953954729272459,
    10.188958401683717,
    9.821555230316825,
    8.056558902014848,
    13.427511300404554,
    11.579961290058296,
    11.46560244905698,
    9.615642695353433,
    11.421144520324281,
    9.572976321490446,
    9.421713545134935,
    7.570184063321327,
    11.790560120079803,
    9.936617480577334,
    9.717439547721025,
    7.863268359183026,
    9.781006453666949,
    7.926714709019647,
    7.645931109825051,
    5.79111581713596,
    13.105652238978982,
    12.208984370716344,
    11.976908140919612,
    10.242855011589342,
    11.914888160408399,
    10.166135537952213,
    9.916090306938242,
    8.163326305574321,
    12.333820862098596,
    10.57927455511112,
    10.268841378490086,
    8.512930917617263,
    10.295082384085202,
    8.529317742679304,
    8.162415323515955,
    6.39665030412837,
    11.838640440589845,
    9.991025839458363,
    9.872307987144534,
    8.022336271602455,
    9.76163620025873,
    7.913132324860901,
    7.762196518889606,
    5.910320116483533,
    10.201682285010957,
    8.347669285963422,
    8.122830488402506,
    6.268612860164373,
    8.121130042353972,
    6.266572289756145,
    5.9858560442099975,
    4.130759251242922,
    11.587671510517472,
    13.328410321957726,
    13.4910823496859,
    11.844489315084505,
    13.52279417590018,
    11.816776034884642,
    11.551244536852277,
    9.82661984584133,
    13.269666525344764,
    12.169678336736368,
    11.852123975238927,
    10.13287999916035,
    11.902288560322274,
    10.184654088625619,
    9.806380860812945,
    8.079203434514842,
    13.38931198400601,
    11.597724433387956,
    11.434663149162187,
    9.608389520902772,
    11.32851887553317,
    9.534220124722513,
    9.35280649606985,
    7.526287320082643,
    11.736288802808357,
    9.943204985842062,
    9.641077573930055,
    7.810954724609619,
    9.675203860180956,
    7.879300233796004,
    7.548361462310686,
    5.718193864899433,
    13.223141043988724,
    12.216178517062895,
    11.980133831295456,
    10.264774323261186,
    11.882742662115312,
    10.176459295617187,
    9.909958009655153,
    8.185237996672925,
    12.307210506052012,
    10.591379322946601,
    10.274136033675054,
    8.5529618322856,
    10.261306784790445,
    8.543224053207751,
    8.16225050688967,
    6.434887095957455,
    11.81182223131743,
    10.01925140534278,
    9.856496782608698,
    8.028664897234114,
    9.681852974889637,
    7.884655464374868,
    7.705353695263709,
    5.876493623284887,
    10.158785945555955,
    8.364703372117065,
    8.062797640420374,
    6.231028792794559,
    8.028428497730266,
    6.229551497149161,
    5.900075683507667,
    4.067780904135427,
    13.342314458186454,
    12.038936098678858,
    11.817010586003265,
    10.059712551542898,
    11.817686222125001,
    10.05411359690807,
    9.81044942563571,
    8.040243354617745,
    12.180575102208625,
    10.407837763451727,
    10.093080682002245,
    8.320303256312293,
    10.196280404361639,
    8.417067145749746,
    8.04634169781289,
    6.26661458322394,
    11.642302236512133,
    9.705310602102784,
    9.659658270536662,
    7.708267377080043,
    9.58052786894308,
    7.637351069436786,
    7.573144824261039,
    5.618795449288569,
    9.988727188854414,
    8.050768945676902,
    7.861305228762394,
    5.9087836873420905,
    7.926694658390977,
    5.982423101642151,
    5.762243067545863,
    3.80724571007734,
    12.205196202070724,
    10.450830406803043,
    10.224984494932022,
    8.46754788488715,
    10.15931721411517,
    8.394835265277333,
    8.152080410789834,
    6.380953441471939,
    10.592409586965372,
    8.819647529856587,
    8.499194064780689,
    6.726397965949927,
    8.537271949013988,
    6.7573756080630885,
    6.387124620303011,
    4.606688964639093,
    10.050235624912759,
    8.112095060089766,
    8.064409668214157,
    6.1124023689205975,
    7.920102417995462,
    5.9768858957153395,
    5.912718634945079,
    3.9583302694102644,
    8.396601024492282,
    6.457514449164492,
    6.265490129011813,
    4.312405193052592,
    6.266061352950625,
    4.321758034760359,
    4.101549634744403,
    2.1465055084683673,
    5.918354131638015,
    7.712493781913134,
    8.055943816351348,
    9.847856021302453,
    8.070416516483334,
    9.864411916728216,
    10.161497208167871,
    11.95340482249594,
    7.696826196724853,
    9.48758939639567,
    9.700490061116874,
    11.483742552781212,
    9.827755193737971,
    11.617922605500228,
    11.80354322736152,
    13.586775909780002,
    8.13888398152157,
    9.873277903203663,
    10.269359213909276,
    12.003343065448195,
    10.256756872920647,
    11.984675530135046,
    12.32486467825192,
    13.064303948046053,
    9.902357215028582,
    11.625284351494958,
    11.905170148658584,
    13.325562661987473,
    11.985201158222287,
    13.276152738149602,
    13.109239417640262,
    11.353154905302864,
    7.567491882633126,
    9.35716654557986,
    9.703682974554688,
    11.49142880726864,
    9.661596609802993,
    11.4511568828616,
    11.751386112490714,
    13.538509896863353,
    9.343902734787978,
    11.129631403873105,
    11.347255761568466,
    13.12570175617588,
    11.41892942812335,
    13.204655938944253,
    13.393188993593856,
    11.985765056969914,
    9.786072074002565,
    11.517413142745356,
    11.915495082709661,
    13.472751911399701,
    11.83469497521667,
    13.301457563838866,
    13.197969830967129,
    11.441437226945906,
    11.548067315282427,
    13.26716714293276,
    13.522505749280572,
    11.765648756199695,
    13.405548531007867,
    11.653378950948387,
    11.487203061731082,
    9.73027100034562,
    7.754901969096769,
    9.485357856485473,
    9.86576770053842,
    11.583365620876519,
    9.90649541271648,
    11.636518962393172,
    11.97051190158939,
    13.57944555258648,
    9.52214367671045,
    11.252058973831097,
    11.50929388319682,
    13.219244703673699,
    11.653072625899942,
    13.382310890056148,
    13.611397661624375,
    11.892661844505792,
    9.935610376459643,
    11.629350549604338,
    12.027192953139053,
    13.248485249180217,
    12.052530736219536,
    13.152339613180544,
    13.113668963546642,
    11.280172413408444,
    11.677040593823653,
    13.365903123523642,
    13.375164325065764,
    11.541878419647041,
    13.33729198225334,
    11.50371054925689,
    11.402897596793295,
    9.568823454546198,
    9.383227375225012,
    11.113328867718645,
    11.48868390195676,
    13.206229018412126,
    11.471746232949625,
    13.201615246411704,
    13.535762350171082,
    11.93481129573077,
    11.145712864167965,
    12.875178701898609,
    13.130670232199474,
    12.268817129651687,
    13.217858759905333,
    12.180540181305714,
    11.97547551021153,
    10.248025443112843,
    11.563911811051309,
    13.25732154727741,
    13.50444136738071,
    11.671559205419175,
    13.339718364646783,
    11.506283700495988,
    11.46844343489634,
    9.633989923550143,
    13.300491748267973,
    11.892666031519884,
    11.797608916572386,
    9.96395797950762,
    11.69222470489156,
    9.857645491571795,
    9.757632733603074,
    7.922587182271503,
    7.784009156492198,
    9.546575975172715,
    9.898184240967453,
    11.660645378492289,
    9.91867899438899,
    11.679071643530488,
    11.966858704475163,
    13.511987279793393,
    9.54708230650176,
    11.300976169403478,
    11.539317833523988,
    13.289492800610713,
    11.651193259110144,
    13.39988735729938,
    13.526655094620635,
    11.81824343542471,
    9.914201690720342,
    11.640219176933446,
    12.027737518030694,
    13.160386246850967,
    12.027913685427585,
    13.083070196159458,
    13.00468075471913,
    11.167705216270093,
    11.670919939380621,
    13.38261749756582,
    13.23272277530607,
    11.391444533829947,
    13.2289285877597,
    11.418128345040452,
    11.241255784187658,
    9.398473616221585,
    9.432234958693511,
    11.191047217251024,
    11.545405624590508,
    13.304160487761333,
    11.503549055111645,
    13.261618365083716,
    13.54792308995864,
    11.900466264498768,
    11.193644248687976,
    12.943002403075955,
    13.185672675417024,
    12.208020901998005,
    13.235643893002495,
    12.166745125646159,
    11.914721298654094,
    10.20624883610804,
    11.561209255780943,
    13.284313496669458,
    13.437669553718159,
    11.601237867383537,
    13.26972222877499,
    11.456344109022245,
    11.380521235803869,
    9.540910318508965,
    13.31654796857694,
    11.851082210739687,
    11.67397631725542,
    9.831348500314641,
    11.604371941217503,
    9.790992811246054,
    9.616666774358428,
    7.770978573187492,
    9.613468798029784,
    11.3187769168111,
    11.69226629753952,
    13.391457797627124,
    11.74809906612042,
    13.450746293822675,
    13.547638743277902,
    11.812580597715888,
    11.361250257118321,
    13.063378801330813,
    13.331547039014046,
    12.067876160806987,
    13.464750862760969,
    12.089104115986457,
    11.854627927359918,
    10.112807460871235,
    11.710903513624475,
    13.248846488443133,
    13.284199998707372,
    11.332272618424568,
    13.194749402471736,
    11.256191392184247,
    11.293188253131127,
    9.339184328936327,
    13.445091856543838,
    11.578790647796955,
    11.520896294217682,
    9.559669598599863,
    11.525805926947122,
    9.586111553814732,
    9.529427741030744,
    7.566345244496257,
    11.241608667843309,
    12.946653918366316,
    13.315159073379522,
    12.181276337514909,
    13.309375245606514,
    12.072941104806594,
    11.906013261010221,
    10.167924625659555,
    12.984819411494627,
    12.459903609732166,
    12.223258050988381,
    10.489821235531968,
    12.187908769862592,
    10.44451371383301,
    10.212928675761834,
    8.468146472966515,
    13.339043156017198,
    11.671012219122222,
    11.706952864074804,
    9.753912879460552,
    11.548907780074575,
    9.609889152618905,
    9.646944163150476,
    7.692607224071883,
    11.939531624886307,
    10.000896975872976,
    9.943082050839502,
    7.980930099130672,
    9.879909704908297,
    7.939768649179813,
    7.8828844033365115,
    5.919543414708773,
    7.914244573385882,
    9.708357594687273,
    9.873335254574153,
    11.66463374952283,
    9.963818946581075,
    11.757814346705803,
    11.919510714747528,
    13.292269807895975,
    9.628998343056695,
    11.419033275623384,
    11.511822633614019,
    13.294855646569628,
    11.676495994276973,
    13.466304676145725,
    13.26488816609108,
    11.564804281520054,
    10.134595116174713,
    11.868883965665098,
    12.081602653890995,
    13.120324382613536,
    12.144597326904574,
    13.098416191243821,
    12.830950759430255,
    11.069590805212773,
    11.830919145532317,
    13.457473163124833,
    13.148908903643271,
    11.389925121580431,
    13.201342793360006,
    11.449740960194347,
    11.07940368933801,
    9.31804289971953,
    9.561727366897957,
    11.351400245384855,
    11.520491041345684,
    13.307502276214407,
    11.550001902018163,
    13.339517574715765,
    13.374870605555145,
    11.6774990011163,
    11.275363812220291,
    13.060494391637903,
    13.158152596219905,
    12.049949990552857,
    13.262313307175127,
    12.080735389959603,
    11.648698437947067,
    9.948333133262794,
    11.780052049179735,
    13.511343551724266,
    13.320426271965195,
    11.560099285518014,
    13.223024795608014,
    11.472718563847476,
    11.203226197586797,
    9.441405463055936,
    13.47573214089977,
    11.897591214523043,
    11.58879219171768,
    9.828412035779612,
    11.576442084997995,
    9.824003691283792,
    9.45139367329017,
    7.689572777479755,
    9.723150979497216,
    11.448990726830214,
    11.67446894943762,
    13.391955123041374,
    11.769607732342227,
    13.495352536652742,
    13.307963180120225,
    11.58606066855612,
    11.435054441277579,
    13.158587041709968,
    13.312469512142785,
    11.890761372486388,
    13.479002448861557,
    12.00785376510455,
    11.57380702557124,
    9.845432209365159,
    11.902687355352654,
    13.3295628381141,
    13.15021117356801,
    11.317629692202292,
    13.15588065276873,
    11.323426533591533,
    11.09982176433785,
    9.266006988154388,
    13.515520316698504,
    11.682454675534718,
    11.418153299610353,
    9.584864595929465,
    11.507826773182792,
    9.674226315466395,
    9.345532244583715,
    7.511328337403237,
    11.345446184119353,
    13.07115315184302,
    13.29525614177349,
    12.017363069824508,
    13.333713221126409,
    11.990795140914555,
    11.665572232486443,
    9.940113331016585,
    13.055181756223979,
    12.410024223979764,
    12.022788937063888,
    10.308168025372396,
    12.092132148024787,
    10.361952561792192,
    9.93100023635624,
    8.199295103919033,
    13.524981218657008,
    11.752762912604275,
    11.569874757612467,
    9.736984095074858,
    11.508887985751766,
    9.675451693791263,
    9.452629451382276,
    7.617782505214543,
    11.938827969565462,
    10.10532764681368,
    9.835703185340021,
    8.002039453486322,
    9.860834103965411,
    8.026249075614146,
    7.698293372475393,
    5.863068616340109,
    9.774920891621129,
    11.536939297539492,
    11.679103921418134,
    13.441104394990003,
    11.81182869444542,
    13.553459769810708,
    13.22720635894808,
    11.514159399977427,
    11.464073325035873,
    13.214012440217022,
    13.310766840879252,
    11.82783196301957,
    13.495585046936627,
    11.924929010576522,
    11.49350009045195,
    9.778883357767167,
    11.904832813173641,
    13.253368155894261,
    13.074507898769877,
    11.238868178216347,
    12.997953089736983,
    11.18126291575161,
    10.976912650898193,
    9.139936931232093,
    13.399289366832825,
    11.587816553627487,
    11.29555503391902,
    9.453209808490053,
    11.332395737320638,
    9.51570049297213,
    9.19046545787303,
    7.347393267796041,
    11.421214880101205,
    13.179637882024243,
    13.325343592464371,
    11.971187374868117,
    13.391888897127924,
    11.940527147633782,
    11.612586188315046,
    9.899232427913322,
    13.109669483118786,
    12.349623913293312,
    11.973043731085752,
    10.268257765107474,
    12.015308675094424,
    10.31173117701358,
    9.877206997846429,
    8.16235690183846,
    13.506207876456475,
    11.693887813130328,
    11.51546572823733,
    9.678640756498112,
    11.367569133592088,
    9.547271838166063,
    9.344276089523031,
    7.50462559175411,
    11.840243498178534,
    10.02791575419783,
    9.73541492375073,
    7.891583014639952,
    9.7014764888633,
    7.881161297740443,
    7.557827176220152,
    5.712032095163535,
    11.578929746040062,
    13.277515540211628,
    13.469200409713665,
    11.824962843224196,
    13.594964520578742,
    11.86485223779106,
    11.545662503074162,
    9.80583430335966,
    13.263009398829883,
    12.226739155329236,
    11.841179364767122,
    10.108065766188895,
    11.975700645463743,
    10.235067855676728,
    9.802409927223374,
    8.058458214096694,
    13.355747161335561,
    11.4062510009776,
    11.335069955604503,
    9.378796987808421,
    11.287628827953089,
    9.327481348231542,
    9.230731774534643,
    7.267262330922826,
    11.685637952480237,
    9.734507827288978,
    9.555985995319546,
    7.592242928480326,
    9.617477898836828,
    7.655582523513763,
    7.44381180661626,
    5.474422737041932,
    13.200842018417653,
    12.272710038923885,
    11.968641655656828,
    10.244117477258957,
    11.952423946551143,
    10.219004002071308,
    9.903118179764732,
    8.159885431847822,
    12.381430263884983,
    10.648520392031267,
    10.258388058232512,
    8.524948497333337,
    10.332910751608436,
    8.589161745438732,
    8.159508295446962,
    6.412320979976644,
    11.777244552547133,
    9.825615288675891,
    9.753310390647197,
    7.79544094611256,
    9.638301024434295,
    7.678061806592218,
    7.581255317123755,
    5.617673365324056,
    10.107082373627717,
    8.153850397833375,
    7.972903280635254,
    6.007876144071955,
    7.968043332538912,
    6.006067241004058,
    5.794306622610055,
    3.8248158405348,
    7.814035329692377,
    9.593837613989704,
    9.940668085712119,
    11.716054925996843,
    9.963059161801045,
    11.742393110588978,
    12.045574204134144,
    13.418440384478,
    9.57543822826762,
    11.35384088978222,
    11.57678865072929,
    13.346038447306487,
    11.705478210808913,
    13.483013041890766,
    13.424168439893592,
    11.7317410201041,
    10.031871641956307,
    11.754456616166694,
    12.149791309128535,
    13.173391415952095,
    12.147867679069625,
    13.065199134100203,
    12.960762632261588,
    11.204725909524665,
    11.775080400959066,
    13.37400763773887,
    13.216350917465508,
    11.460146832079623,
    13.160812270699207,
    11.409061086180142,
    11.2425696799633,
    9.486019609667425,
    9.46298770356395,
    11.238504373970674,
    11.588032534164682,
    13.35956527477293,
    11.553093859232066,
    13.32861050629804,
    13.4909020902066,
    11.80693118422747,
    11.22201515915392,
    12.99575098182439,
    13.22299680377679,
    12.122686385149992,
    13.29550111768603,
    12.03329673406416,
    11.81222685553174,
    10.119739272940558,
    11.678950957262789,
    13.398587732808837,
    13.37087905484454,
    11.614084420168975,
    13.192731152789515,
    11.442492012609325,
    11.338744735241676,
    9.581856212929557,
    13.420448771660993,
    11.814360240979223,
    11.657301938786174,
    9.899965182173476,
    11.538944657101055,
    9.786281788986663,
    9.620523499122402,
    7.863130643786441,
    9.601739230659483,
    11.32973275222043,
    11.709087855458975,
    13.423076611566595,
    11.750736870015356,
    13.478130853206238,
    13.41705109647729,
    11.700465666046076,
    11.358168478872859,
    13.085899196116475,
    13.345166578695903,
    11.958679378289581,
    13.48813335668298,
    11.937116863464079,
    11.73362234044817,
    10.003692915033465,
    11.782373940236887,
    13.235136321022262,
    13.206278718470797,
    11.368032140896592,
    13.109059658160827,
    11.271112485768004,
    11.237942788848766,
    9.398941952767334,
    13.420245494961007,
    11.580922997879682,
    11.493142944509394,
    9.653570258789024,
    11.45472239233863,
    9.61493451232667,
    9.519290759004846,
    7.679151129809743,
    11.229032975576237,
    12.956579148123806,
    13.331317422038943,
    12.065790515384094,
    13.315745024920218,
    11.926760804865054,
    11.774449315987983,
    10.054474600876338,
    12.981236299004335,
    12.303748907172904,
    12.099627388637357,
    10.37877727370783,
    12.024537305978463,
    10.291254508745553,
    10.090987622860492,
    8.357687750274113,
    13.409647333250248,
    11.657740328946922,
    11.628082283721541,
    9.78933827634554,
    11.463044180377189,
    9.623876652268622,
    9.591764697601075,
    7.7515812338381345,
    11.842966031697516,
    10.003008143512663,
    9.91365579258204,
    8.07349670476535,
    9.808680379839632,
    7.967645535680487,
    7.873008225565075,
    6.031649113462508,
    9.679370743087343,
    11.425463009806814,
    11.782887845145495,
    13.52810564599132,
    11.810501262212869,
    13.543242879727819,
    13.354110712701374,
    11.649718248284486,
    11.42567091604954,
    13.166558336156783,
    13.415466865778503,
    11.897601308137881,
    13.528912169384146,
    11.908002737361198,
    11.65651177941262,
    9.947596744881523,
    11.805358965009663,
    13.21152033593068,
    13.131938564523793,
    11.29653900224259,
    13.029815497828352,
    11.218929335466077,
    11.140612617664345,
    9.303561776551954,
    13.344225153321169,
    11.535480269459075,
    11.35586296547748,
    9.514078074438414,
    11.353686641159305,
    9.542799588367076,
    9.363935287614868,
    7.520696271512197,
    11.327389291605243,
    13.069922327384369,
    13.429739764908188,
    12.029091146475677,
    13.393978429316999,
    11.932032764283868,
    11.742686286336713,
    10.038197218644626,
    13.071739640251797,
    12.288465558883825,
    12.043280727538988,
    10.339417694362954,
    12.000164271775393,
    10.296589194051247,
    10.044569254810998,
    8.335594809015033,
    13.452239640499709,
    11.65241012173837,
    11.573749913012279,
    9.737211940571935,
    11.405617270416752,
    9.592142834402965,
    9.516402629666871,
    7.6767067488068115,
    11.78553655601992,
    9.975813689319233,
    9.796811681613136,
    7.95363374150233,
    9.729025734611639,
    7.915545066160787,
    7.739233926294264,
    5.893050728063022,
    11.458188437199867,
    13.1597131123443,
    13.534539213805797,
    11.877205361080712,
    13.568361356373376,
    11.836305315255506,
    11.668628763268002,
    9.931284362934807,
    13.196569443956879,
    12.146164117429937,
    11.91280511370238,
    10.175463274942295,
    11.9426828577972,
    10.198292482782938,
    9.965045059448869,
    8.219531640630747,
    13.306371256215098,
    11.36738863036893,
    11.405445011357092,
    9.450785087845855,
    11.315918615725582,
    9.374284910447006,
    9.414113358504032,
    7.457240931823414,
    11.628181829682376,
    9.688463223111514,
    9.6293677098232,
    7.666711437198001,
    9.637634613467684,
    7.695298990287059,
    7.637434100579686,
    5.672813709251215,
    13.085348316016447,
    12.201293744800493,
    12.025208675939925,
    10.298640489692094,
    11.925935292853078,
    10.190418487846722,
    10.025934683808515,
    8.285288609139936,
    12.305273549673608,
    10.567875853279936,
    10.3332536626639,
    8.595410915036217,
    10.300160125378657,
    8.552405199783355,
    8.322335708811742,
    6.5735240944428535,
    11.728599882913889,
    9.787936605808193,
    9.826769140242593,
    7.870791510263054,
    9.668977748192852,
    7.726760353322325,
    7.766738930999912,
    5.80943074167765,
    10.05019394606516,
    8.10883762616852,
    8.049776997963622,
    6.086046425692699,
    7.990549201119082,
    6.047650507870997,
    5.989531164293125,
    4.024580508540844,
    9.798887161507981,
    11.578145709661191,
    11.754760503907939,
    13.441748408212074,
    11.848334589721246,
    13.461607687500726,
    13.130231671905165,
    11.43272770405378,
    11.5034067090202,
    13.280385590306665,
    13.385811791326564,
    11.745650201999402,
    13.520613732328826,
    11.826757238949734,
    11.398410827566767,
    9.697413020492613,
    12.016689718031738,
    13.24633392889207,
    13.021115529187174,
    11.261805782485833,
    12.988695560890312,
    11.239010394260863,
    10.971607798997592,
    9.20992844593017,
    13.343796302666998,
    11.591926943744538,
    11.283760140421032,
    9.524313641029464,
    11.334120742090025,
    9.582048497919756,
    9.211366254251708,
    7.449684812932714,
    11.445974938449758,
    13.221113335523814,
    13.40145834320195,
    11.882832446428013,
    13.433882134118878,
    11.849037760660744,
    11.515860272940625,
    9.817955877189764,
    13.149151411333916,
    12.239850950030661,
    11.875136481414009,
    10.186095458992732,
    11.907821587948996,
    10.213877820742786,
    9.78217320685825,
    8.080903295264875,
    13.437242430391517,
    11.686732906100577,
    11.462126875578793,
    9.701417283298309,
    11.363862108807819,
    9.613312647316693,
    9.343881477856918,
    7.581742488063919,
    11.784663254475111,
    10.031766304368519,
    9.723308951491628,
    7.962505252062401,
    9.709218207814294,
    7.956311012515522,
    7.583355428853105,
    5.821212606260172,
    11.56652006508946,
    13.2892538218899,
    13.422839618382447,
    11.718226975837316,
    13.47519004098733,
    11.757026736494609,
    11.431143548877477,
    9.706253960551722,
    13.270347341639305,
    12.099062150144041,
    11.72130589688734,
    10.000760246527864,
    11.850915741557131,
    10.118883264703086,
    9.685302711020501,
    7.952284656077643,
    13.286087732756531,
    11.448552065301364,
    11.274794999736034,
    9.436545351203144,
    11.279062705987396,
    9.44107027610335,
    9.222425325384753,
    7.383237830871866,
    11.633664703520811,
    9.79413658823632,
    9.533999672238343,
    7.694379558549167,
    9.623952778757216,
    7.784093768297454,
    7.457020388443699,
    5.616866620786006,
    13.18814343550455,
    12.151525996303398,
    11.841160688781953,
    10.136462748306469,
    11.831868251315587,
    10.10991559550281,
    9.787816079569176,
    8.059050922739027,
    12.241061561583887,
    10.52025955203826,
    10.136504149705384,
    8.41557871926205,
    10.207424735081942,
    8.471763739539098,
    8.041721125504072,
    6.305015255171885,
    11.707998839341668,
    9.869861631009675,
    9.69267183356677,
    7.853927777484221,
    9.631236920419886,
    7.792047839610171,
    7.574426174651094,
    5.733993620367839,
    10.05509493830566,
    8.214892152315715,
    7.949162069923794,
    6.108913858788493,
    7.976114815021507,
    6.135039777363453,
    5.809014243930737,
    3.967621205704047,
    11.658737272622197,
    13.40290240653446,
    13.369207520263366,
    11.669025560774685,
    13.385590529340826,
    11.69124957528005,
    11.365113417032665,
    9.65188405027687,
    13.338439783882556,
    12.040171595739027,
    11.664505203302662,
    9.959337585785171,
    11.758756150217055,
    10.054626972597367,
    9.622332686771959,
    7.907354244676212,
    13.20096499961154,
    11.389367016984892,
    11.210525859796913,
    9.374799662116715,
    11.133869157938236,
    9.317080510076812,
    9.112777681498638,
    7.275726734485904,
    11.52416581529565,
    9.712554427667895,
    9.418668122559113,
    7.575804226861308,
    9.457069133899708,
    7.640266243314087,
    7.312866696189364,
    5.4693197756325045,
    13.304576761057376,
    12.110314626307265,
    11.810407466278736,
    10.109803398447738,
    11.772739609082286,
    10.07831659703345,
    9.75049306826452,
    8.036957070533427,
    12.18111368743631,
    10.481262424298256,
    10.10509774334191,
    8.399599204702465,
    10.145595694162402,
    8.441421945067308,
    8.006003993800174,
    6.290796884745332,
    11.642178895810147,
    9.829717678146356,
    9.651334257426761,
    7.81441112951365,
    9.503425351709064,
    7.683015308726477,
    7.480073317394296,
    5.640336323119634,
    9.964872007172428,
    8.152389599981454,
    7.85821262102643,
    6.013814962693555,
    7.826021781848603,
    6.005577103177959,
    5.680155096670758,
    3.8338545491538696,
    13.419724886391986,
    11.969425197440616,
    11.67054469787498,
    9.943663878840693,
    11.715973992457311,
    9.983489082833955,
    9.665987916507714,
    7.924085572682701,
    12.073329682953531,
    10.336356848708576,
    9.951395025924397,
    8.214053147088542,
    10.088514725736832,
    8.343919129221938,
    7.909092694487443,
    6.161879882455854,
    11.477185159964801,
    9.524585951380969,
    9.456124314856655,
    7.496956077811733,
    9.408631882491393,
    7.444955536698387,
    7.351056722052904,
    5.384280406514585,
    9.797805230467947,
    7.844098576396764,
    7.663260610437647,
    5.697884166758049,
    7.7292384960815905,
    5.764392520284936,
    5.549281746986128,
    3.5778440742206765,
    12.112600603216501,
    10.390070403955654,
    10.088255868487073,
    8.361158295248615,
    10.072429576905424,
    8.336356053243058,
    8.02244291316605,
    6.276870601332341,
    10.493886365679618,
    8.756317450197646,
    8.366379863274247,
    6.628530623491718,
    8.444829660276074,
    6.696779078923926,
    6.265354048045159,
    4.514604560245776,
    9.897271017127043,
    7.942234250890894,
    7.872820665558489,
    5.911791488668089,
    7.7582674794437025,
    5.79443902263926,
    5.700570738520355,
    3.7336190470440744,
    8.2177348306598,
    6.261642498176544,
    6.078062340779889,
    4.111195319693151,
    6.078653855304644,
    4.113672574646332,
    3.898675503396653,
    1.9270878954212347,
    7.756455467147408,
    9.548535989668224,
    9.882259718725654,
    11.671326411424932,
    9.904955842942899,
    11.696782916055694,
    11.986968084484431,
    13.468061843756832,
    9.514785858186897,
    11.304349853824196,
    11.516287692943031,
    13.297883258907952,
    11.64467054429037,
    13.433555961605352,
    13.494534556228626,
    11.787624770179338,
    9.950934218721006,
    11.673602933598312,
    12.0728753522944,
    13.2174715141912,
    12.057273352552084,
    13.109437724039696,
    13.012455251262134,
    11.248856647350486,
    11.7003210637798,
    13.414668205436922,
    13.273144380024075,
    11.509474588533825,
    13.218659442951802,
    11.459415657849013,
    11.300482654205968,
    9.536269054340892,
    9.393764589593555,
    11.180243882314834,
    11.519112029169039,
    13.302787202354768,
    11.487217218173566,
    13.27362097894116,
    13.527914242120795,
    11.828942125493803,
    11.151487201797547,
    12.935146221232042,
    13.152865587446332,
    12.150360841997898,
    13.226513400093545,
    12.061673621967486,
    11.855161214877182,
    10.147776690729494,
    11.58782237295771,
    13.305263881278275,
    13.399187895984788,
    11.633174822104309,
    13.220985314135875,
    11.461903971322926,
    11.36733761938743,
    9.601274443049869,
    13.33671965761133,
    11.83939026258518,
    11.691472849857355,
    9.92480523223304,
    11.573704276913315,
    9.81187921086149,
    9.655358584449946,
    7.88866845510407,
    9.57666965650736,
    11.307122928596808,
    11.680685638128454,
    13.398056911178472,
    11.725044803971407,
    13.45505750100293,
    13.46815379003052,
    11.723635174268376,
    11.328034286189654,
    13.057943164808549,
    13.314425415847275,
    11.99020009139716,
    13.457895621184125,
    11.967633646935596,
    11.792465235688558,
    10.03485906384131,
    11.713200235664043,
    13.26143525454998,
    13.252451317204521,
    11.394279866971242,
    13.155216739806043,
    11.29645845865269,
    11.283968091783226,
    9.424272235107535,
    13.447420487106115,
    11.61271173265072,
    11.544961719477678,
    9.685431191755566,
    11.506780153769594,
    9.64627218857066,
    9.57182596272643,
    7.7110205864451355,
    11.18535555495832,
    12.91542768707535,
    13.285914431384459,
    12.07570953138057,
    13.273781710007498,
    11.936693702356418,
    11.809518403469113,
    10.064403905466001,
    12.934611901552213,
    12.320718984651187,
    12.14267298229975,
    10.396392794893368,
    12.066462624903192,
    10.308368935233378,
    10.133661418723843,
    8.37554352909352,
    13.320455488654197,
    11.669307767769597,
    11.659203586990554,
    9.800907782815415,
    11.494382957054507,
    9.635613162772959,
    9.623017681368683,
    7.763313246954887,
    11.879929178044028,
    10.020480565150137,
    9.951138080941487,
    8.091509138326721,
    9.845930668497317,
    7.985412689409616,
    7.910875493460639,
    6.050061587304834,
    9.614967464092723,
    11.37278171686182,
    11.720474360302719,
    13.477906002634228,
    11.74367064734953,
    13.498489247994193,
    13.42146696000916,
    11.702130265563879,
    11.361194572522816,
    13.112245996291414,
    13.352005817526699,
    11.955990852010341,
    13.463006528140639,
    11.968582770114446,
    11.731904831212624,
    10.008090163260123,
    11.725774716353078,
    13.260507403704654,
    13.18579852935905,
    11.345343169500957,
    13.082174643654064,
    11.266756793282095,
    11.192984185207788,
    9.351173541316774,
    13.406391032197014,
    11.592759161946745,
    11.419236955751774,
    9.573625848135672,
    11.414441655500202,
    9.598993036739039,
    9.426103905670423,
    7.579254096516952,
    11.251965343411815,
    13.004486945396158,
    13.357140097897545,
    12.054626892726878,
    13.321356216372905,
    11.957539018842736,
    11.782686341500575,
    10.062982934337922,
    12.997699742430061,
    12.321490135083634,
    12.092203787973729,
    10.37200734243579,
    12.04753429514487,
    10.329098305087724,
    10.092521634142285,
    8.368241366399266,
    13.362554113962823,
    11.676537354526987,
    11.604040505368616,
    9.76104033536187,
    11.435946878996665,
    9.616079855551495,
    9.546742893160067,
    7.700358031786071,
    11.824577198440045,
    10.008692920790732,
    9.837271426348453,
    7.988936457125261,
    9.768124054706732,
    7.948235166233808,
    7.779786162477798,
    5.928193597199474,
    11.424804274526599,
    13.129487275572274,
    13.50003251078706,
    11.904037152225804,
    13.553425608653153,
    11.861389091861897,
    11.72284064693648,
    9.956470592488209,
    13.160706106889352,
    12.180286917688687,
    11.975911007658208,
    10.211331611938618,
    12.00485266084599,
    10.231429202728993,
    10.029405116765037,
    8.254898172224898,
    13.355147558597439,
    11.393417140541207,
    11.453796316340645,
    9.4768362776799,
    11.363014303291296,
    9.399590257977449,
    9.460893423220373,
    7.4825698207048585,
    11.684523707367964,
    9.722142477094478,
    9.687193207656989,
    7.702832781225741,
    9.692368420080136,
    7.728305236950909,
    7.693968453978025,
    5.708381783763558,
    13.033447732307923,
    12.213137996544058,
    12.064333226367333,
    10.310593812937675,
    11.96417950343078,
    10.202256321190134,
    10.064194137268938,
    8.29723626085144,
    12.351855142067208,
    10.587569219573215,
    10.382070285397532,
    8.617310609460974,
    10.346096276951302,
    8.572137708917207,
    8.370600438079933,
    6.595572069526009,
    11.761392545937886,
    9.799579131712449,
    9.859416881306522,
    7.882433227313456,
    9.7017796665317,
    7.738320878009773,
    7.799396418865504,
    5.820995339726029,
    10.090765204055112,
    8.128302093894405,
    8.092629956270823,
    6.108259026988167,
    8.031133737282229,
    6.067035675914929,
    6.032412134470377,
    4.046729452871138,
    9.733305476306976,
    11.52518376050797,
    11.690773852541852,
    13.474008123255594,
    11.78287916324481,
    13.495709081485321,
    13.172705642908198,
    11.465102831683595,
    11.437697472432928,
    13.226236559048427,
    13.320516235341723,
    11.78109591635788,
    13.485161916416503,
    11.867079693245838,
    11.445606757754593,
    9.733869499059256,
    11.925642925930353,
    13.27539581722434,
    13.055045339829721,
    11.290025657184898,
    13.026191151306666,
    11.26965633002737,
    11.006198916807676,
    9.238944419354757,
    13.385359848109745,
    11.626311862142058,
    11.319913714477963,
    9.554603828202648,
    11.37774886503928,
    9.618492574909414,
    9.248879614782446,
    7.481570756449839,
    11.370199605752548,
    13.156531429662918,
    13.327514070683655,
    11.890252043344937,
    13.357142263486807,
    11.851772664487395,
    11.525216159382797,
    9.817575121196292,
    13.074224919717443,
    12.252877779182977,
    11.900230507819167,
    10.19715948522737,
    11.92904955649711,
    10.222410948798702,
    9.794750141660561,
    8.082880024273187,
    13.450564245245676,
    11.691485748353594,
    11.473826636109925,
    9.705699060190586,
    11.374148356486154,
    9.615067013101088,
    9.349441870928988,
    7.580499309750264,
    11.804081718106234,
    10.042275115426447,
    9.738192740091726,
    7.969830272348794,
    9.725702298198252,
    7.96387093515872,
    7.590816098929902,
    5.821783313158654,
    11.532189707716515,
    13.257871158171046,
    13.44208095667268,
    11.713707878778798,
    13.505724322730194,
    11.762007486025384,
    11.449335844533408,
    9.702133041783533,
    13.234991103719526,
    12.109575909805745,
    11.744617067218275,
    9.997550262224658,
    11.888398121367425,
    10.130646184751726,
    9.707966171608568,
    7.950195238414766,
    13.31323802592273,
    11.453838407596791,
    11.291989344727464,
    9.432566655261379,
    11.30771322477848,
    9.447702093396977,
    9.240224907648292,
    7.380051612614365,
    11.666125997882162,
    9.804704188148294,
    9.553018947005892,
    7.691373908166051,
    9.658365746209158,
    7.796467882408132,
    7.477258618483235,
    5.615301949903795,
    13.13758821108778,
    12.142122849333807,
    11.848636806648557,
    10.119776584752026,
    11.843527250622335,
    10.099077782148482,
    9.786449734561712,
    8.038383776621657,
    12.263648576263195,
    10.517508457806498,
    10.149606641107425,
    8.402321131428518,
    10.225734511715832,
    8.467415466749655,
    8.043603567082556,
    6.285251365283595,
    11.721123017715788,
    9.861637787289698,
    9.697734835443818,
    7.83822022974503,
    9.641949845485982,
    7.781938701712347,
    7.573193161553176,
    5.713019585239692,
    10.073890024088172,
    8.212394730897984,
    7.957682427690518,
    6.095982300214926,
    7.992553485314242,
    6.130655328365004,
    5.8095585791660715,
    3.947600882113128,
    11.583839815955198,
    13.340152810408869,
    13.416857148243771,
    11.703973931400892,
    13.434739141270535,
    11.727081258983459,
    11.410585339560836,
    9.686188440693789,
    13.266263734421448,
    12.081987952576736,
    11.717807731655533,
    9.99937226720724,
    11.815211965493964,
    10.097339696154298,
    9.674213620056761,
    7.947509192700441,
    13.242528945466095,
    11.424640780324554,
    11.249000923537313,
    9.40851144407979,
    11.17564416323965,
    9.352480153286677,
    9.151224827288747,
    7.309286291194914,
    11.574503265984276,
    9.756601251015637,
    9.462865437701183,
    7.616839159495473,
    9.50760863147414,
    7.684432938981235,
    7.357194813886675,
    5.510318657456621,
    13.220318753285447,
    12.120909703459395,
    11.83509099669875,
    10.120033278548473,
    11.790398640812935,
    10.082328527778484,
    9.762740762062977,
    8.038248342845597,
    12.214199375263098,
    10.498275566662997,
    10.135775640344407,
    8.415299369887455,
    10.170360615388038,
    8.451923201549544,
    8.023233160194742,
    6.2963426228154695,
    11.660814376406808,
    9.840664467509061,
    9.6672134145037,
    7.824174254944554,
    9.518620378359163,
    7.6888760567092,
    7.49028272341721,
    5.643357575089061,
    9.992686713033642,
    8.172527499683646,
    7.880829057532155,
    6.03205076167882,
    7.850437113018725,
    6.020688621776158,
    5.695863048405229,
    3.8442240065528015,
    13.375336185491642,
    11.972545503846492,
    11.693225194730918,
    9.939472199598914,
    11.74841032922949,
    9.986889708175775,
    9.686821814265237,
    7.91978360154855,
    12.113060218760229,
    10.346470298704512,
    9.980577548463005,
    8.213951814109748,
    10.128697630303462,
    8.354762902471457,
    7.936558212645723,
    6.162036454991577,
    11.507603677839082,
    9.522298725412014,
    9.476730554617717,
    7.4880208058591355,
    9.439432203064575,
    7.442238029280144,
    7.371133781710534,
    5.3730013883535115,
    9.836221060481979,
    7.849879118893421,
    7.689432630672282,
    5.696331769860875,
    7.768012381282801,
    5.769693488045341,
    5.575000387347617,
    3.573908996913633,
    12.131518469448766,
    10.379780488301689,
    10.09902894945506,
    8.345007253186065,
    10.08588161177352,
    8.3237805859249,
    8.02369132231466,
    6.255933424654917,
    10.52026698836878,
    8.753549107846535,
    8.385129187888671,
    6.618384519734622,
    8.46575285075673,
    6.691370141477325,
    6.272082337461636,
    4.497051914841499,
    9.913371512542174,
    7.927866796963004,
    7.880869262722891,
    5.892041461549841,
    7.7711383996360635,
    5.773135439756671,
    5.7017041803485355,
    3.7028408866448563,
    8.24198785647084,
    6.255447048789294,
    6.093096753049728,
    4.0999171910526435,
    6.099706082902652,
    4.1005669685980255,
    3.9053764520896914,
    1.9036067002098975,
    9.638327789573125,
    11.417430332142342,
    11.756232538859152,
    13.530348233376547,
    11.784707788686736,
    13.468081946531349,
    13.307855976657137,
    11.6085046862663,
    11.38440370594919,
    13.162394751214578,
    13.38411215659119,
    11.870520853638594,
    13.513625006841432,
    11.834909164757224,
    11.629719235788944,
    9.921421100383128,
    11.826152436618322,
    13.214159644861645,
    13.122166038944844,
    11.358768690358524,
    13.007138787608465,
    11.25033335541479,
    11.153129772981913,
    9.389114521802803,
    13.317301474980411,
    11.55762132881608,
    11.407982037894495,
    9.643689278303599,
    11.351848613600014,
    9.592009948685153,
    9.433596243894565,
    7.6688236096009,
    11.274594111743859,
    13.048709114602994,
    13.391841152610173,
    11.959431515158027,
    13.364472896416466,
    11.829100893560874,
    11.669072709494158,
    9.969376745505679,
    13.019765314045854,
    12.185362888419466,
    11.990623964280942,
    10.286544842510754,
    11.90262141223115,
    10.195436400613085,
    9.990322336751305,
    8.281536877633402,
    13.389539024504906,
    11.630155467272562,
    11.540813433002477,
    9.774370700898874,
    11.36218812037023,
    9.602797744633087,
    9.50801203943219,
    7.741531073472108,
    11.735841208673797,
    9.9734515942395,
    9.826105123121494,
    8.05886500481774,
    9.706893419386482,
    7.944470983583798,
    7.788472174073112,
    6.021220259982318,
    11.416521613621146,
    13.144496983193257,
    13.518013662122865,
    11.786869540253026,
    13.461928013156854,
    11.713679176818077,
    11.591070911479854,
    9.841504484299746,
    13.159582081424762,
    12.021507843636483,
    11.852723351563224,
    10.098086532949297,
    11.840999548733693,
    10.075805927584737,
    9.9071680289332,
    8.14189687715598,
    13.242537658117389,
    11.3775882201649,
    11.376104774297893,
    9.510417144451626,
    11.27802472120645,
    9.411992175944917,
    9.406771188027308,
    7.539803761884364,
    11.58888434300276,
    9.72094788396339,
    9.660920300679841,
    7.79289988778941,
    9.622426390813681,
    7.753610734203921,
    7.686336555663068,
    5.817350771124866,
    13.024945578302521,
    12.061094541406124,
    11.927105092569816,
    10.192818670423023,
    11.802806649811355,
    10.05379171005625,
    9.931800571472811,
    8.181500195047448,
    12.182613287683685,
    10.428381116630172,
    10.257812494336871,
    8.503036805598944,
    10.181697404559781,
    8.415845461290889,
    8.247800692193469,
    6.481865854465971,
    11.64939861102538,
    9.784415590438162,
    9.78174878548224,
    7.916010059009395,
    9.616590949086085,
    7.750517620475758,
    7.7452189856906575,
    5.878216488637283,
    9.995527281720856,
    8.12756900874587,
    8.065759862061743,
    6.197712094430575,
    7.960991515075056,
    6.092135846527391,
    6.02477577674658,
    4.155752533491217,
    11.496823305502097,
    13.24046387290052,
    13.489429192996198,
    11.777210917670377,
    13.442117833894194,
    11.734316746841039,
    11.55932325642519,
    9.839741989033605,
    13.23063616545755,
    12.036784228112708,
    11.806391411983714,
    10.087349643330752,
    11.816829514804049,
    10.098234708406316,
    9.861678039098917,
    8.137267824038348,
    13.210058068141635,
    11.396378725118907,
    11.321726784567787,
    9.481208664787946,
    11.217837103496448,
    9.40235987985052,
    9.328633412744594,
    7.486772859978361,
    11.53083361450447,
    9.717137842195736,
    9.541596803317251,
    7.695585077400397,
    9.538573853308716,
    7.723076963881787,
    7.548067715910383,
    5.700854763979109,
    13.13277113465523,
    12.082667709166806,
    11.907597101293046,
    10.1932535313363,
    11.803514490138332,
    10.09527120872385,
    9.920538415718099,
    8.200588508815368,
    12.169501928467028,
    10.452987401662465,
    10.224300264658673,
    8.503274995871442,
    10.177890885142244,
    8.458721454542511,
    8.222267723851814,
    6.49738352741758,
    11.628260396093944,
    9.812310280970356,
    9.739882822217899,
    7.896808601330253,
    9.571595849636733,
    7.751663424456823,
    7.682378491422778,
    5.835938111778686,
    9.948899478772567,
    8.13293863891101,
    7.9594923000257225,
    6.11071864764018,
    7.892229591117372,
    6.072284953575185,
    5.901722937337302,
    4.049744039245102,
    13.263457746347662,
    11.921588007699413,
    11.777185921635613,
    10.019827017145877,
    11.74220174704582,
    9.977160290748143,
    9.842111596112023,
    8.072138975391663,
    12.056711616240943,
    10.286122865041847,
    10.085664838999264,
    8.314834269227326,
    10.116209244965752,
    8.336864953165913,
    8.137802385590355,
    6.357715204234805,
    11.47474791888338,
    9.508717401200643,
    9.573124892884426,
    7.592108958124553,
    9.482401705456642,
    7.514547885025382,
    7.579989265007756,
    5.597493751156483,
    9.794249995255523,
    7.8279443066047065,
    7.792772689074354,
    5.8058556587497465,
    7.801857505925245,
    5.8337409866734,
    5.799206823330968,
    3.8109615812775974,
    12.081785584580064,
    10.32814757556822,
    10.183061306082836,
    8.425492568062293,
    10.083074439931302,
    8.317265874714236,
    8.182810940815953,
    6.412134677659214,
    10.463080839015461,
    8.692416254965215,
    8.490576824295124,
    6.71965479699813,
    8.456905903710854,
    6.676894001288828,
    6.478422018865662,
    4.697683536376946,
    9.880109599824296,
    7.913936962674504,
    7.97782550122095,
    5.996751463476744,
    7.820478043471039,
    5.852612338136888,
    5.917781744670627,
    3.9352452175472274,
    8.199574615304229,
    6.23313010540886,
    6.197118839970343,
    4.210170242254381,
    6.139918400601781,
    4.17178936037401,
    4.136848371529493,
    2.1485428576659045,
    11.60795783097052,
    13.386256662971233,
    13.308089193907815,
    11.615821071039186,
    13.3313928618331,
    11.636203030873482,
    11.313595068646098,
    9.605374275136555,
    13.30451262535886,
    11.972382052203628,
    11.619729081551842,
    9.917157330523219,
    11.707409376964533,
    9.999869384962205,
    9.578850679929094,
    7.86601367708034,
    13.17393234458849,
    11.417380946644723,
    11.196807977826587,
    9.431319160150084,
    11.166843391287918,
    9.410008027557103,
    9.14669731853964,
    7.379068294295845,
    11.51998323352503,
    9.760301629669794,
    9.454372644006781,
    7.688491878114517,
    9.510152487322069,
    7.75030719850508,
    7.380318908864412,
    5.612588671853331,
    13.243626840701168,
    12.015610627259502,
    11.726749068649951,
    10.031979064486569,
    11.687681589350357,
    9.99223248969418,
    9.666086427481858,
    7.9578254298566655,
    12.092150821816327,
    10.388827384781793,
    10.03792846998579,
    8.333104913748654,
    10.06306647694853,
    8.355114804471285,
    7.927858545057327,
    6.2148754443478795,
    11.592737917506625,
    9.833354285319459,
    9.61545193494921,
    7.846891557177917,
    9.514792144117193,
    7.755401450152233,
    7.489937334245289,
    5.720615099953677,
    9.938505148768915,
    8.17611321843692,
    7.87244051932872,
    6.103556702884541,
    7.858095796147657,
    6.095661190352061,
    5.722211531863417,
    3.9527397044446517,
    13.369875467794063,
    11.851048589253855,
    11.564473126879262,
    9.830529167661153,
    11.627134826708408,
    9.878526712618127,
    9.569940725380674,
    7.8181345945560565,
    11.971420713789247,
    10.216954908197495,
    9.85745466243323,
    8.101137959317587,
    10.00202284706937,
    8.236775610058732,
    7.815250565981522,
    6.049974193055239,
    11.435915225000146,
    9.568622789006973,
    9.4143396116437,
    7.547040613214187,
    9.42882109126577,
    7.561130279130496,
    7.360351854626879,
    5.492581010950531,
    9.781809616493844,
    7.91135067358902,
    7.665368628401146,
    5.794383348197184,
    7.771968563682872,
    5.901257048983761,
    5.584539854432528,
    3.7134888694409893,
    11.991988295809085,
    10.258190053163528,
    9.969824790370954,
    8.23553695754995,
    9.964456617788104,
    8.214984670049502,
    7.906617283743047,
    6.153816219724341,
    10.378379378159114,
    8.62374468569297,
    8.260795617973905,
    6.504390617128685,
    8.33898254921888,
    6.573038864175866,
    6.1506658685255875,
    4.384706648115974,
    9.84266301001858,
    7.975344766034532,
    7.818860648149153,
    5.951533954038828,
    7.76263553944372,
    5.894938751436449,
    5.692958615311641,
    3.8251794330345072,
    8.188329578474223,
    6.317855470906224,
    6.06842645696516,
    4.1974371893503175,
    6.105762583847737,
    4.2350466584576285,
    3.9166118609848333,
    2.045559831286663,
    13.45826901374872,
    11.843515224525914,
    11.555887214974184,
    9.842597791744502,
    11.572579486049992,
    9.864726137479721,
    9.548403171407818,
    7.82377847234665,
    11.92855506897467,
    10.213568478252014,
    9.849929669904743,
    8.130639877055275,
    9.94535758297801,
    8.226762104884093,
    7.802772129403182,
    6.075590407227521,
    11.37839367661324,
    9.560413645274757,
    9.384780749552956,
    7.544230072292698,
    9.311297632126415,
    7.488067360910042,
    7.286844243439095,
    5.444854540905666,
    9.698805389976073,
    7.880820072931378,
    7.5851077517136,
    5.738667806970591,
    7.631708438031559,
    5.808473268126916,
    5.478668335329652,
    3.6314225005581173,
    11.964030333296112,
    10.259749015157105,
    9.974030424845095,
    8.25858966865992,
    9.928228104128314,
    8.219959699386425,
    7.900550111572982,
    6.175828627390156,
    10.346618903918458,
    8.629771551061935,
    8.267765028407519,
    6.546473353885055,
    8.300468516121864,
    6.581295850275714,
    6.151678942256488,
    4.424301821741503,
    9.79659283660024,
    7.976338218695943,
    7.802908998099255,
    5.9597975903921006,
    7.654256577638735,
    5.824437046264869,
    5.625880145803347,
    3.7788963440616667,
    8.116869106350228,
    6.296612181976759,
    6.002929284371875,
    4.153697981471261,
    5.974500157794798,
    4.14468008066559,
    3.8173345709708677,
    1.9653169431995465,
    11.843738015238847,
    10.087975884786665,
    9.812173384663756,
    8.05441099363281,
    9.8673888888682,
    8.102035290772694,
    7.804667587932414,
    6.034176779639514,
    10.224984850051353,
    8.451682600899456,
    8.087404160115675,
    6.313895160386945,
    8.239189363481172,
    6.459170149714643,
    6.039031122637239,
    4.258798197053524,
    9.627012339310793,
    7.636776056482057,
    7.5954472467514105,
    5.602069576767175,
    7.558384443133972,
    5.555648742875417,
    5.48897797707129,
    3.48549619940619,
    7.945845316173245,
    5.9550904435469745,
    5.792519275111108,
    3.7960771453956954,
    5.877207445257354,
    3.8739165637535917,
    3.675865518536942,
    1.67062393952606,
    10.25019937646277,
    8.494318794747894,
    8.21691680613268,
    6.458970782086612,
    8.204318754324083,
    6.4382765684551,
    6.141046950133207,
    4.369727939991214,
    8.631098138583615,
    6.857738831102776,
    6.490469009387852,
    4.716918359687032,
    6.575811724763636,
    4.79523515615778,
    4.374298499493932,
    2.5934698368406215,
    8.031870017089476,
    6.041337117709459,
    5.998578246307362,
    4.0050044726975536,
    5.889516724056239,
    3.886100798132982,
    3.8190456833758066,
    1.8149456026154331,
    6.350675187978181,
    4.359629202452991,
    4.194876569418813,
    2.1982934188943735,
    4.2082916234963434,
    2.2043075624427795,
    2.00583287813014
  ]
}

{
  "name": "optimal_z",
  "dtype": "int64",
  "shape": [
    1
  ],
  "data": [
    7364
  ]
}

{
  "name": "uniform_shots",
  "dtype": "int64",
  "shape": [
    10,
    256
  ],
  "data": [
    [
      4093,
      5148,
      1546,
      2672,
      6905,
      2255,
      1315,
      4003,
      4958,
      3456,
      122,
      1642,
      4285,
      2536,
      5235,
      5097,
      4644,
      7491,
      2562,
      7351,
      5036,
      1555,
      5332,
      5766,
      1493,
      1421,
      8088,
      1765,
      7700,
      1744,
      4712,
      6254,
      73,
      1832,
      4588,
      1641,
      4303,
      3377,
      1093,
      813,
      1296,
      7484,
      7623,
      5109,
      7764,
      7048,
      6928,
      2432,
      3262,
      1834,
      4161,
      6017,
      7945,
      4002,
      1942,
      3937,
      7532,
      492,
      575,
      2038,
      6545,
      3527,
      3858,
      6455,
      7314,
      5347,
      5738,
      7512,
      3501,
      2767,
      5794,
      3018,
      7156,
      7790,
      4218,
      1881,
      3801,
      6549,
      3006,
      8046,
      7501,
      1066,
      1084,
      7126,
      6785,
      2806,
      680,
      2410,
      422,
      3417,
      4540,
      4357,
      4155,
      5997,
      343,
      2435,
      4680,
      5070,
      6505,
      7369,
      5910,
      1604,
      7612,
      815,
      7990,
      6775,
      5853,
      1468,
      6712,
      5661,
      6114,
      2675,
      6326,
      4417,
      3523,
      8024,
      6098,
      8094,
      6827,
      7164,
      3880,
      2830,
      233,
      1254,
      2433,
      1938,
      281,
      5867,
      1181,
      7874,
      7894,
      4562,
      3843,
      232,
      3813,
      352,
      6744,
      5176,
      8131,
      5997,
      5351,
      6791,
      1879,
      4969,
      6117,
      1217,
      2811,
      1708,
      5921,
      4295,
      2274,
      6485,
      6439,
      3665,
      417,
      545,
      4395,
      5451,
      4059,
      2821,
      7826,
      7072,
      6347,
      6405,
      7091,
      7600,
      2442,
      7980,
      6590,
      5734,
      6907,
      177,
      1763,
      2604,
      2499,
      2052,
      4399,
      2711,
      5532,
      1231,
      3633,
      1177,
      4295,
      727,
      7969,
      6302,
      7840,
      3852,
      4706,
      2490,
      1740,
      4763,
      1703,
      2426,
      3334,
      1037,
      1666,
      4567,
      4949,
      169,
      3923,
      7041,
      2221,
      7862,
      5025,
      4877,
      1001,
      8127,
      4889,
      7603,
      7542,
      4620,
      5360,
      5017,
      6029,
      3280,
      2051,
      4260,
      2060,
      5315,
      3069,
      4045,
      3289,
      6096,
      2934,
      3160,
      2638,
      5700,
      7977,
      2163,
      1584,
      3018,
      3580,
      1410,
      3755,
      3790,
      1293,
      8033,
      5021,
      7214,
      3953,
      4766,
      3476,
      7706,
      2085,
      5043,
      7519,
      1554,
      7326,
      366,
      6746,
      7507,
      551,
      2952,
      2565,
      7778
    ],
    [
      4516,
      2268,
      7322,
      6971,
      5026,
      4834,
      1043,
      806,
      6781,
      3719,
      3683,
      5428,
      851,
      1999,
      5262,
      6862,
      255,
      0,
      3889,
      5346,
      4480,
      1812,
      4550,
      6853,
      4356,
      7582,
      1081,
      5194,
      514,
      1357,
      3271,
      488,
      4639,
      7249,
      705,
      5368,
      4596,
      6707,
      3685,
      7640,
      1166,
      5931,
      44,
      4314,
      8159,
      754,
      533,
      4038,
      8050,
      6509,
      2014,
      276,
      2911,
      3477,
      4521,
      7022,
      2634,
      960,
      2342,
      7531,
      4462,
      2398,
      3802,
      6778,
      4837,
      5274,
      8183,
      7319,
      4325,
      7906,
      6809,
      563,
      895,
      349,
      7965,
      5316,
      3842,
      3487,
      3287,
      3265,
      561,
      6929,
      5856,
      6451,
      1799,
      2943,
      853,
      1477,
      753,
      7465,
      6348,
      5879,
      5832,
      1708,
      7351,
      5532,
      159,
      5021,
      7960,
      5617,
      851,
      3585,
      1807,
      7444,
      3433,
      1381,
      6171,
      1941,
      6432,
      3804,
      1155,
      4197,
      4773,
      1464,
      6524,
      4704,
      282,
      3327,
      5508,
      918,
      4988,
      4708,
      1908,
      181,
      1619,
      6409,
      1593,
      4163,
      2416,
      7711,
      4696,
      109,
      1541,
      6573,
      3363,
      4389,
      2425,
      773,
      5300,
      2070,
      5452,
      6092,
      2077,
      325,
      5073,
      547,
      4780,
      183,
      7686,
      6409,
      4179,
      1378,
      5660,
      855,
      367,
      823,
      937,
      1787,
      4821,
      306,
      7331,
      5667,
      7633,
      4498,
      4177,
      7091,
      6839,
      3408,
      2554,
      4677,
      274,
      5142,
      2607,
      1503,
      8127,
      668,
      2394,
      6049,
      3889,
      4918,
      7595,
      3818,
      362,
      6984,
      2634,
      6169,
      7089,
      2669,
      3184,
      3908,
      1107,
      2255,
      4643,
      2462,
      887,
      420,
      7767,
      6171,
      5749,
      4467,
      7184,
      4370,
      5482,
      5011,
      4442,
      5402,
      85,
      4661,
      7178,
      8063,
      2754,
      4792,
      5776,
      4676,
      894,
      1124,
      7042,
      1678,
      1139,
      6539,
      8076,
      7735,
      6674,
      7076,
      7202,
      184,
      5853,
      934,
      4671,
      7896,
      723,
      4426,
      3486,
      1386,
      4586,
      5202,
      3143,
      5290,
      423,
      4768,
      2399,
      798,
      1829,
      2320,
      8151,
      5818,
      7301,
      4353,
      4859,
      6720,
      7806,
      1309,
      298,
      3683,
      7714,
      2661
    ],
    [
      5600,
      4791,
      4562,
      3713,
      6267,
      3558,
      1330,
      241,
      874,
      7578,
      778,
      6346,
      61,
      4279,
      2809,
      7985,
      6648,
      6011,
      4063,
      3134,
      6272,
      6942,
      4583,
      3039,
      4142,
      2282,
      244,
      3337,
      6086,
      444,
      2463,
      5441,
      6202,
      1851,
      2760,
      6535,
      643,
      1062,
      6872,
      6359,
      5143,
      3703,
      4963,
      6417,
      872,
      5053,
      6037,
      1826,
      2334,
      6412,
      7576,
      2378,
      147,
      3167,
      1554,
      6571,
      5886,
      7894,
      2731,
      6223,
      2493,
      6087,
      2810,
      807,
      1347,
      1641,
      7802,
      3524,
      32,
      7195,
      5911,
      3238,
      3651,
      3270,
      7133,
      2818,
      3376,
      3358,
      7903,
      7234,
      7511,
      3212,
      8147,
      1764,
      5916,
      5240,
      7498,
      7028,
      7070,
      16,
      633,
      423,
      7088,
      842,
      103,
      3897,
      794,
      6193,
      5449,
      4880,
      5958,
      4128,
      4260,
      7066,
      5216,
      6376,
      6641,
      4326,
      3254,
      224,
      7550,
      2757,
      6181,
      4189,
      8162,
      2045,
      5872,
      8175,
      9,
      6204,
      3445,
      117,
      2472,
      1091,
      6140,
      3747,
      2178,
      1243,
      3171,
      61,
      1459,
      1804,
      3863,
      3169,
      5114,
      761,
      5101,
      124,
      5438,
      1285,
      2745,
      1591,
      411,
      2109,
      6848,
      6488,
      7975,
      5708,
      5188,
      2419,
      6089,
      4897,
      1135,
      6286,
      6496,
      3260,
      2180,
      404,
      3281,
      4519,
      4172,
      2996,
      1154,
      2278,
      7341,
      2113,
      6978,
      7750,
      2180,
      4715,
      2954,
      3921,
      893,
      5534,
      1011,
      2315,
      2220,
      4814,
      5588,
      360,
      5430,
      7008,
      3958,
      2709,
      6049,
      1261,
      2810,
      3400,
      4407,
      4772,
      5894,
      3552,
      1060,
      6871,
      3682,
      2416,
      5689,
      3144,
      6031,
      665,
      7322,
      3994,
      7576,
      2906,
      4944,
      4372,
      1811,
      7319,
      5952,
      1683,
      5538,
      7120,
      6577,
      7291,
      2355,
      365,
      8104,
      7793,
      3617,
      6352,
      247,
      5569,
      2654,
      908,
      6887,
      7590,
      7550,
      5513,
      5190,
      3046,
      1915,
      44,
      1721,
      2077,
      7775,
      3986,
      7745,
      4767,
      207,
      5811,
      6114,
      2118,
      769,
      6759,
      3358,
      665,
      1014,
      2272,
      4055,
      5512,
      682,
      2681,
      3448,
      59,
      2400,
      1658
    ],
    [
      2013,
      6268,
      5482,
      7698,
      734,
      5081,
      1835,
      6913,
      6306,
      5297,
      7905,
      8023,
      604,
      6131,
      843,
      749,
      3709,
      689,
      1231,
      8159,
      4489,
      2563,
      5784,
      710,
      3617,
      3333,
      4691,
      327,
      2240,
      5023,
      1831,
      2823,
      7915,
      1857,
      5511,
      928,
      542,
      1939,
      5388,
      1055,
      5393,
      8017,
      6195,
      2653,
      2945,
      2252,
      3099,
      7784,
      5774,
      7849,
      5833,
      3541,
      3843,
      8037,
      5958,
      5794,
      6911,
      1017,
      5232,
      3167,
      6755,
      1412,
      6507,
      1649,
      3716,
      6841,
      6663,
      8150,
      6411,
      4955,
      2602,
      5553,
      7006,
      3829,
      5133,
      3365,
      7340,
      4166,
      5317,
      5167,
      3349,
      7410,
      5933,
      8039,
      5103,
      2799,
      3128,
      55,
      4708,
      4387,
      987,
      3112,
      7421,
      3919,
      2905,
      2228,
      5081,
      5727,
      289,
      5503,
      6262,
      5716,
      2230,
      4124,
      7177,
      4529,
      2577,
      7476,
      4306,
      6777,
      3776,
      2373,
      50,
      5477,
      1422,
      230,
      1275,
      7613,
      2312,
      1036,
      1555,
      2589,
      3509,
      1456,
      5756,
      7187,
      1134,
      4782,
      7821,
      7240,
      6365,
      2778,
      2282,
      1117,
      2401,
      4645,
      1955,
      1300,
      7620,
      7514,
      5387,
      1531,
      5146,
      3970,
      928,
      6843,
      5873,
      790,
      7825,
      3138,
      5913,
      6042,
      4769,
      1144,
      4639,
      108,
      5427,
      91,
      5962,
      6289,
      5309,
      6786,
      3281,
      5017,
      652,
      4225,
      3327,
      743,
      3869,
      7834,
      656,
      6802,
      896,
      2649,
      1478,
      451,
      6077,
      7296,
      4523,
      5752,
      4198,
      3578,
      5538,
      6556,
      5091,
      1260,
      7002,
      675,
      5640,
      2714,
      7310,
      6821,
      6412,
      7424,
      4597,
      5009,
      7941,
      5577,
      7001,
      5148,
      1733,
      3382,
      3638,
      6564,
      2529,
      5962,
      2882,
      4084,
      905,
      1021,
      5183,
      4397,
      3981,
      5575,
      2412,
      7095,
      3247,
      848,
      5323,
      6141,
      5284,
      4490,
      649,
      1627,
      3065,
      5099,
      7685,
      781,
      7619,
      3244,
      6559,
      6169,
      4646,
      2557,
      6173,
      5455,
      644,
      7073,
      1100,
      4425,
      7127,
      3075,
      1574,
      4964,
      5332,
      5299,
      5753,
      5093,
      3380,
      8121,
      4609,
      4094,
      646,
      6470,
      222,
      4925
    ],
    [
      5071,
      1159,
      1195,
      8186,
      2546,
      2748,
      5538,
      3129,
      1631,
      2759,
      7450,
      4272,
      3826,
      6490,
      1185,
      1103,
      5417,
      642,
      6659,
      7572,
      426,
      5292,
      6900,
      1165,
      827,
      4208,
      5021,
      6730,
      5407,
      2480,
      6819,
      5400,
      4426,
      2016,
      4629,
      2566,
      5049,
      7081,
      1673,
      6954,
      6558,
      4740,
      5789,
      59,
      964,
      3355,
      64,
      1848,
      1175,
      3562,
      5528,
      1116,
      7827,
      113,
      5771,
      4630,
      6438,
      5089,
      6680,
      3254,
      4877,
      4868,
      8048,
      2456,
      2091,
      2834,
      4902,
      5419,
      7711,
      4746,
      3069,
      2324,
      6834,
      7591,
      4051,
      4029,
      2876,
      3065,
      5471,
      5016,
      7242,
      5310,
      1517,
      6964,
      137,
      2257,
      7167,
      4028,
      6471,
      5615,
      900,
      3143,
      2505,
      1478,
      6609,
      2295,
      7433,
      409,
      7164,
      4734,
      7438,
      1014,
      5005,
      1732,
      2638,
      7127,
      5418,
      1114,
      6291,
      6814,
      4747,
      5660,
      4962,
      1913,
      7368,
      4233,
      1851,
      625,
      2270,
      3070,
      3687,
      1409,
      6877,
      5758,
      5150,
      1631,
      7871,
      4464,
      6006,
      862,
      5751,
      2518,
      419,
      5439,
      5754,
      4440,
      664,
      18,
      3797,
      1268,
      2397,
      1631,
      2127,
      6382,
      4336,
      3178,
      7977,
      7158,
      6950,
      6085,
      5903,
      352,
      6805,
      2579,
      5384,
      2682,
      8153,
      5960,
      2591,
      858,
      5782,
      7739,
      6684,
      4494,
      4196,
      8152,
      6602,
      6426,
      4863,
      7975,
      2070,
      4282,
      5785,
      6017,
      5285,
      7839,
      5669,
      2096,
      6686,
      3075,
      1108,
      7877,
      6556,
      3295,
      1020,
      6314,
      2547,
      7656,
      2822,
      901,
      459,
      1737,
      5085,
      7739,
      7153,
      5423,
      2225,
      5357,
      5761,
      6659,
      7006,
      4224,
      4331,
      6965,
      4778,
      2276,
      5588,
      1900,
      6319,
      4989,
      3346,
      5201,
      4604,
      1446,
      6182,
      7612,
      2,
      4974,
      4798,
      6038,
      4168,
      958,
      6379,
      3752,
      2106,
      8129,
      1582,
      5815,
      6985,
      1348,
      1525,
      7398,
      7143,
      3761,
      3320,
      2280,
      43,
      3183,
      3,
      2293,
      1744,
      3843,
      6008,
      4146,
      8043,
      855,
      5805,
      7187,
      53,
      1805,
      3204,
      349,
      4414,
      3163,
      5847,
      3100
    ],
    [
      4660,
      5457,
      1631,
      3890,
      7494,
      7507,
      5799,
      860,
      5771,
      2985,
      4063,
      2530,
      1919,
      3235,
      4580,
      667,
      5620,
      853,
      2718,
      678,
      3419,
      1230,
      5760,
      4668,
      439,
      1886,
      1792,
      6441,
      3113,
      587,
      2035,
      2091,
      6117,
      1729,
      1024,
      4689,
      3977,
      2749,
      503,
      6586,
      6885,
      1577,
      3457,
      6546,
      2194,
      3243,
      2480,
      7069,
      989,
      3891,
      2470,
      6001,
      4572,
      1278,
      7695,
      4623,
      6260,
      6080,
      7902,
      4967,
      6925,
      2012,
      2472,
      7380,
      2983,
      570,
      959,
      5632,
      1326,
      3516,
      7309,
      6446,
      5473,
      3498,
      3277,
      2228,
      5116,
      4488,
      1047,
      8067,
      6181,
      7332,
      1262,
      5685,
      7505,
      2750,
      4685,
      3077,
      4247,
      1760,
      1800,
      3112,
      3998,
      1003,
      1002,
      5080,
      7774,
      6182,
      3447,
      4020,
      7217,
      3078,
      951,
      2967,
      4747,
      5074,
      43,
      4278,
      6920,
      3645,
      6060,
      6123,
      5963,
      3485,
      4715,
      2781,
      2052,
      8178,
      2798,
      7721,
      3968,
      1495,
      7937,
      7616,
      6049,
      7444,
      2557,
      7041,
      2736,
      2265,
      836,
      3110,
      7961,
      6141,
      290,
      5491,
      4678,
      510,
      1004,
      6316,
      5012,
      2104,
      4676,
      1507,
      2931,
      3890,
      529,
      469,
      2701,
      830,
      4405,
      2916,
      6906,
      4516,
      573,
      6319,
      1236,
      3922,
      2261,
      1862,
      8109,
      2387,
      2269,
      1798,
      2022,
      4530,
      475,
      1948,
      7386,
      5453,
      7098,
      6528,
      1096,
      4864,
      4065,
      6482,
      1923,
      2504,
      2721,
      1413,
      7225,
      1742,
      695,
      2282,
      471,
      2710,
      5078,
      4010,
      2651,
      7074,
      5791,
      5376,
      7758,
      6838,
      5323,
      3989,
      3434,
      3206,
      432,
      7528,
      6553,
      1331,
      992,
      1043,
      3783,
      1310,
      3140,
      1180,
      4839,
      2182,
      3190,
      2703,
      5374,
      5689,
      3898,
      4931,
      8128,
      103,
      6440,
      957,
      6810,
      5078,
      6278,
      5234,
      4510,
      4211,
      8172,
      7577,
      7922,
      6677,
      5475,
      2657,
      1843,
      8103,
      2687,
      2231,
      5803,
      2282,
      3667,
      4843,
      5403,
      3790,
      4299,
      2453,
      2996,
      3534,
      5357,
      6915,
      64,
      6380,
      8132,
      3009,
      1146,
      7282,
      1930,
      6805
    ],
    [
      6728,
      1887,
      7000,
      1592,
      7725,
      2720,
      2745,
      3925,
      7657,
      3267,
      1792,
      4819,
      3182,
      2241,
      1179,
      5119,
      2109,
      539,
      5963,
      4867,
      6140,
      4098,
      4826,
      8146,
      1728,
      7502,
      7824,
      7470,
      4628,
      6908,
      4256,
      6078,
      3870,
      7506,
      1887,
      4372,
      288,
      6843,
      4694,
      5555,
      147,
      334,
      784,
      3614,
      1429,
      5969,
      4092,
      2060,
      793,
      5970,
      220,
      3598,
      7223,
      3722,
      4797,
      6565,
      1267,
      4626,
      7170,
      6604,
      581,
      3072,
      2644,
      4655,
      3483,
      3451,
      7717,
      4813,
      1655,
      2358,
      696,
      7533,
      4287,
      5037,
      2543,
      5347,
      2377,
      2177,
      6524,
      4096,
      2778,
      2922,
      1217,
      5296,
      6888,
      1975,
      7653,
      6465,
      4107,
      5738,
      7548,
      5574,
      4709,
      2116,
      6211,
      6353,
      6815,
      5824,
      6157,
      8002,
      7762,
      2964,
      6615,
      4369,
      1498,
      8056,
      3912,
      2331,
      6400,
      1677,
      2366,
      370,
      2256,
      4165,
      6664,
      4999,
      4287,
      4291,
      4247,
      6992,
      6837,
      5693,
      4823,
      2641,
      4317,
      6123,
      4542,
      4262,
      1707,
      3930,
      4426,
      1812,
      2754,
      906,
      5303,
      3820,
      3004,
      279,
      2075,
      3344,
      3592,
      4395,
      439,
      3008,
      1696,
      4494,
      895,
      5998,
      3764,
      1642,
      4532,
      6199,
      3644,
      739,
      7138,
      4072,
      711,
      4686,
      5388,
      5243,
      6687,
      7527,
      950,
      5619,
      988,
      2331,
      535,
      1745,
      2908,
      4145,
      131,
      1226,
      8014,
      2030,
      5829,
      1444,
      6912,
      7160,
      225,
      1191,
      1304,
      3394,
      4072,
      3371,
      3395,
      1420,
      1408,
      6624,
      1304,
      3623,
      8084,
      2675,
      512,
      7202,
      5199,
      5038,
      2069,
      6973,
      3500,
      5838,
      1338,
      7186,
      7928,
      5787,
      1810,
      7455,
      749,
      6954,
      3872,
      8114,
      975,
      5672,
      4981,
      5762,
      7577,
      3938,
      1689,
      4828,
      8054,
      4278,
      6467,
      3168,
      6193,
      7430,
      1232,
      3475,
      7847,
      6029,
      3811,
      2929,
      1844,
      6947,
      2790,
      2208,
      5654,
      6588,
      1218,
      4501,
      4368,
      6454,
      2541,
      1334,
      6390,
      7433,
      4139,
      5360,
      1190,
      4260,
      323,
      1184,
      4475,
      1266,
      3268,
      7946,
      1745,
      511
    ],
    [
      3295,
      3936,
      8190,
      1362,
      6810,
      1267,
      5393,
      2576,
      3666,
      5157,
      2767,
      6004,
      7958,
      323,
      3705,
      1899,
      7241,
      7197,
      6343,
      3950,
      28,
      1812,
      3250,
      2686,
      664,
      4310,
      6998,
      6200,
      3941,
      4146,
      2413,
      8015,
      1177,
      1831,
      2897,
      2575,
      2985,
      3428,
      6193,
      1041,
      2499,
      6741,
      4925,
      3053,
      1316,
      3972,
      1353,
      6040,
      1936,
      99,
      5935,
      3546,
      363,
      685,
      6280,
      7641,
      2083,
      2493,
      2876,
      5376,
      7364,
      6016,
      4027,
      6441,
      7153,
      6138,
      5369,
      4094,
      3821,
      8190,
      2068,
      3644,
      2806,
      5989,
      7690,
      2636,
      2514,
      4752,
      1112,
      1960,
      2794,
      5373,
      3391,
      1838,
      2859,
      2802,
      7833,
      5644,
      7174,
      1614,
      5864,
      470,
      163,
      4640,
      4687,
      3201,
      190,
      3944,
      7365,
      2457,
      6544,
      380,
      3865,
      2216,
      3831,
      5598,
      1594,
      4244,
      2580,
      7306,
      4436,
      7038,
      2786,
      5378,
      1933,
      3169,
      5448,
      3583,
      4439,
      3720,
      5510,
      4165,
      3069,
      3409,
      5641,
      2492,
      1637,
      6075,
      4561,
      7254,
      2561,
      7727,
      5049,
      326,
      4249,
      2901,
      188,
      3721,
      8021,
      2023,
      136,
      3910,
      7887,
      3976,
      7908,
      6717,
      4563,
      3592,
      814,
      2052,
      7352,
      4776,
      7280,
      3664,
      2171,
      7935,
      646,
      3924,
      1588,
      981,
      374,
      965,
      5139,
      6596,
      4607,
      1133,
      769,
      7095,
      6841,
      5509,
      3212,
      4288,
      3669,
      4358,
      1712,
      1343,
      6008,
      7029,
      3549,
      734,
      6588,
      3728,
      4282,
      6382,
      6734,
      5391,
      7106,
      940,
      360,
      4612,
      1033,
      1940,
      2527,
      6423,
      7243,
      317,
      5265,
      4938,
      601,
      126,
      1714,
      1338,
      5136,
      5523,
      2529,
      4921,
      5360,
      1786,
      7681,
      1390,
      4841,
      7601,
      861,
      1079,
      2601,
      3909,
      304,
      6641,
      388,
      1308,
      1397,
      2827,
      6040,
      1905,
      1387,
      5843,
      1025,
      4137,
      7046,
      6399,
      263,
      6112,
      7883,
      886,
      3932,
      3458,
      727,
      6632,
      1119,
      4415,
      5408,
      4637,
      3434,
      3871,
      196,
      3602,
      3406,
      7206,
      6595,
      7638,
      403,
      2363,
      5056,
      6773,
      3221,
      350
    ],
    [
      2366,
      7830,
      1240,
      5204,
      5702,
      1253,
      5537,
      7506,
      2676,
      5098,
      4915,
      4092,
      5058,
      1589,
      240,
      6295,
      7273,
      667,
      2928,
      21,
      7230,
      792,
      3822,
      3133,
      3163,
      1236,
      5618,
      1187,
      7279,
      136,
      6145,
      244,
      4268,
      4105,
      6377,
      920,
      3991,
      1450,
      7199,
      38,
      7523,
      5116,
      6754,
      324,
      4093,
      6746,
      3874,
      7533,
      4451,
      4264,
      6604,
      6562,
      6838,
      3814,
      980,
      5130,
      26,
      5125,
      330,
      5327,
      2541,
      3345,
      850,
      895,
      734,
      403,
      1813,
      2034,
      2866,
      4051,
      6139,
      6466,
      6841,
      2422,
      1738,
      6118,
      6270,
      6836,
      7814,
      7877,
      1802,
      1720,
      1643,
      4757,
      1144,
      2754,
      2503,
      6207,
      7351,
      3263,
      3877,
      7167,
      5116,
      2916,
      6819,
      2655,
      597,
      3089,
      8037,
      4550,
      293,
      2125,
      4069,
      1972,
      7102,
      3493,
      5102,
      2411,
      8002,
      8042,
      6358,
      4241,
      834,
      3057,
      3737,
      6099,
      1637,
      5436,
      2836,
      1042,
      1592,
      965,
      6698,
      5609,
      6475,
      3785,
      4164,
      5875,
      6686,
      4471,
      6725,
      5124,
      4867,
      1624,
      5700,
      4148,
      1113,
      5368,
      666,
      1171,
      3553,
      7492,
      6455,
      1764,
      4184,
      4566,
      2790,
      1303,
      5980,
      1550,
      7576,
      1451,
      3943,
      946,
      558,
      8020,
      6671,
      4540,
      2855,
      3646,
      7835,
      3968,
      3048,
      2047,
      5314,
      6507,
      1286,
      2049,
      1216,
      5646,
      6650,
      1843,
      6742,
      751,
      2114,
      736,
      3767,
      3543,
      4699,
      4372,
      5893,
      5441,
      6282,
      6068,
      7324,
      6260,
      6754,
      6583,
      5554,
      4750,
      7013,
      3643,
      3312,
      3785,
      6037,
      5094,
      2135,
      3152,
      7480,
      7027,
      8151,
      7021,
      1860,
      5332,
      2690,
      5401,
      2018,
      3964,
      828,
      6870,
      6079,
      4562,
      6606,
      7131,
      4229,
      3840,
      3677,
      6615,
      7429,
      1821,
      4758,
      3587,
      5410,
      5622,
      5656,
      1747,
      7548,
      1895,
      7341,
      5327,
      4642,
      783,
      6840,
      2640,
      6681,
      1646,
      3652,
      6880,
      3788,
      6938,
      5443,
      5770,
      1307,
      2338,
      5256,
      7041,
      5568,
      320,
      3491,
      6565,
      1312,
      2021,
      3114,
      7055,
      1968,
      105
    ],
    [
      3555,
      1840,
      469,
      238,
      6642,
      941,
      535,
      6333,
      138,
      7691,
      7274,
      498,
      1334,
      1042,
      1886,
      4079,
      7246,
      4486,
      5650,
      4502,
      3760,
      6211,
      7611,
      2078,
      6294,
      5096,
      2485,
      7545,
      6514,
      5455,
      4947,
      7292,
      1646,
      4980,
      3810,
      2272,
      40,
      1485,
      5720,
      7843,
      3747,
      1462,
      4705,
      7543,
      1696,
      5741,
      6909,
      8084,
      5809,
      5324,
      7603,
      5094,
      6477,
      4731,
      2318,
      3488,
      7247,
      2493,
      4968,
      7558,
      3860,
      5415,
      2190,
      5545,
      5338,
      3623,
      5457,
      1946,
      900,
      6401,
      1539,
      3940,
      1002,
      7724,
      3066,
      5218,
      1241,
      7546,
      3774,
      64,
      1305,
      477,
      3880,
      7227,
      8073,
      95,
      3659,
      2238,
      4517,
      6275,
      7305,
      2717,
      5643,
      709,
      5206,
      4487,
      1475,
      6468,
      977,
      3904,
      229,
      8142,
      3795,
      6565,
      5606,
      673,
      4873,
      2211,
      1912,
      5593,
      3405,
      3421,
      2005,
      1968,
      369,
      3639,
      7098,
      4375,
      2649,
      906,
      5423,
      223,
      8088,
      5712,
      1531,
      3821,
      570,
      3511,
      3215,
      6065,
      4027,
      2173,
      1525,
      4344,
      3473,
      5542,
      5826,
      6784,
      7004,
      1849,
      2590,
      3643,
      5172,
      227,
      3102,
      7309,
      1342,
      3719,
      1791,
      4250,
      3145,
      496,
      1971,
      2689,
      4697,
      6077,
      2541,
      57,
      5428,
      4687,
      3757,
      1772,
      2079,
      5384,
      5644,
      2465,
      2249,
      6541,
      3838,
      6026,
      1711,
      2034,
      6197,
      5832,
      6880,
      2542,
      7455,
      3654,
      2251,
      2518,
      5092,
      1768,
      927,
      995,
      1470,
      4771,
      3606,
      8121,
      7500,
      408,
      1702,
      1398,
      1837,
      2384,
      1509,
      5086,
      3198,
      8097,
      1758,
      604,
      4200,
      3203,
      2606,
      2941,
      6411,
      811,
      2066,
      2088,
      2546,
      2904,
      6289,
      6761,
      2446,
      5235,
      1123,
      1957,
      8135,
      19,
      3151,
      5550,
      6761,
      2012,
      3094,
      7871,
      4090,
      3492,
      1492,
      3880,
      4626,
      5806,
      5523,
      5515,
      469,
      6397,
      4041,
      4917,
      1757,
      6284,
      7106,
      4246,
      2755,
      2496,
      7458,
      7861,
      6613,
      4114,
      6871,
      7694,
      7654,
      6225,
      356,
      5848,
      8143,
      4099,
      1724,
      7096
    ]
  ]
}

{
  "name": "qaoa_cost",
  "dtype": "float64",
  "shape": [
    8192
  ],
  "data": [
    0.661335984842122,
    0.5928096646903046,
    0.6569692237609418,
    0.5584296124344014,
    0.6284753942145026,
    0.5613822716435728,
    0.6323235060453684,
    0.5432002460566845,
    0.6161591737996804,
    0.5535103560548823,
    0.5885405506926636,
    0.5086246024331197,
    0.5998956144840564,
    0.5349975881497699,
    0.5771114099605816,
    0.4986235137669798,
    0.6837985748289909,
    0.6131342129957332,
    0.5763660461887755,
    0.5192038135827189,
    0.6250368867127754,
    0.5702795840477504,
    0.5583852429836821,
    0.5048545638522935,
    0.6392815337012423,
    0.5727566155389197,
    0.5382871900784931,
    0.4837420365985413,
    0.5964252414990108,
    0.542372291370755,
    0.521097323313154,
    0.47046027922637995,
    0.5707283327488916,
    0.48030903383686135,
    0.5930881162356979,
    0.479227342903355,
    0.580361921126492,
    0.4933005781360392,
    0.5884577485460148,
    0.487381167492413,
    0.5241508514577783,
    0.43326953038580884,
    0.5126949296317413,
    0.4120049762544044,
    0.5309014123017644,
    0.44574407039539693,
    0.5181472169659087,
    0.4245381981819938,
    0.6038008959269211,
    0.5189764904395588,
    0.5329721823591108,
    0.45240822321116714,
    0.5814679278627196,
    0.5059848176947266,
    0.5280617261075122,
    0.45359629572959703,
    0.5510751926973054,
    0.4703277734702216,
    0.47705592366414556,
    0.3998319398199166,
    0.5317225190206047,
    0.460298668170883,
    0.47392101820460064,
    0.4111801099847771,
    0.5737374178132385,
    0.5473390377108208,
    0.571849240706261,
    0.5066711581363276,
    0.5264339179871343,
    0.5011263205708486,
    0.5211917771562765,
    0.4704359289391177,
    0.5652470069273416,
    0.520225305389861,
    0.5361918531397857,
    0.47364816245869207,
    0.519314051633756,
    0.4823152944602127,
    0.49293906458568126,
    0.4413551661747285,
    0.61062657513272,
    0.5758122215353502,
    0.5204916432420001,
    0.4824377460297193,
    0.5362074036450016,
    0.5132830748883338,
    0.4730120572306273,
    0.4417853051611923,
    0.5887368352171615,
    0.5442468547080023,
    0.49604304652052617,
    0.4542662905084105,
    0.5215884171560119,
    0.49104633593343605,
    0.44891595605656415,
    0.43341205172889125,
    0.5218275735007583,
    0.4628249824477946,
    0.5317797454402055,
    0.44548357202790956,
    0.5078898586260231,
    0.453275510034067,
    0.5037509691571325,
    0.43162953823321765,
    0.4972563561422414,
    0.4248846103645527,
    0.4746271304177844,
    0.39205440630021093,
    0.475789764360001,
    0.41350266344754283,
    0.45348983104698026,
    0.3815983842259514,
    0.5534752504868151,
    0.4990771357982104,
    0.48744821025597496,
    0.42611732411354625,
    0.512747434578389,
    0.46443397031219913,
    0.458356816626762,
    0.4166708756255629,
    0.5193513685574654,
    0.45863204239755706,
    0.4433652302593878,
    0.38058062879024074,
    0.47657372772522444,
    0.42479051764290604,
    0.4235878706047128,
    0.47369279902370215,
    0.593171349282891,
    0.516575462707246,
    0.5995327488778479,
    0.5124567412484969,
    0.5434272575898683,
    0.47151985929617424,
    0.5579443113626583,
    0.4768745719573338,
    0.5618753198393294,
    0.49335256195810456,
    0.5536448740978438,
    0.47438460241582137,
    0.5260190254892504,
    0.45654599594916384,
    0.5215226939550474,
    0.4434352604686979,
    0.5841499407508067,
    0.5354229182130368,
    0.524714507264633,
    0.4726670293353973,
    0.5255431900634389,
    0.48353563758770884,
    0.48950684730477106,
    0.43999566867508594,
    0.556803082638631,
    0.5064304656761817,
    0.4974685747508901,
    0.4454959032349501,
    0.509068132445294,
    0.46473973838331645,
    0.4648008049856908,
    0.43973182061287025,
    0.5475519990113709,
    0.44625584853110933,
    0.5606505985156012,
    0.4543112766348596,
    0.520107262172174,
    0.42749725133008437,
    0.53197916923532,
    0.43620692314952764,
    0.4967029527137593,
    0.4049604499527686,
    0.494703008641238,
    0.3962959819907947,
    0.4742435271150312,
    0.3878365893711975,
    0.4750506004385929,
    0.3822880930417705,
    0.5424954804788418,
    0.47035841033083936,
    0.49667109905547424,
    0.4199125353871807,
    0.5030736062150248,
    0.4365537097825801,
    0.47099252168279615,
    0.41819354132796316,
    0.4956760498991165,
    0.4272513538595915,
    0.4484972728657905,
    0.3748038951058183,
    0.4609273110298386,
    0.39684287355022235,
    0.440833687808648,
    0.4789728044483319,
    0.54484915067539,
    0.4958100424297848,
    0.5383087723310294,
    0.47319266472221305,
    0.4754327136073024,
    0.4347662333726146,
    0.47247079555483107,
    0.4199089140701823,
    0.5267682035700691,
    0.4738204061603504,
    0.510422227300371,
    0.44551848607802225,
    0.4655369545419728,
    0.4199175594592567,
    0.45219751913423395,
    0.39652862757108975,
    0.5483427278591858,
    0.5230052936922291,
    0.48421081081481,
    0.4485897685859335,
    0.46472916731931335,
    0.44809987593867184,
    0.4205120303700766,
    0.41863055887566464,
    0.5271465003683883,
    0.49459140245506134,
    0.464297545053249,
    0.43358276193462975,
    0.45126734814971053,
    0.43746117820111347,
    0.42383489813566805,
    0.5102646307587402,
    0.5102778916727981,
    0.4357099116985432,
    0.510667585054738,
    0.42489270623264475,
    0.46701500633444204,
    0.40149313972337775,
    0.4631496841194569,
    0.3902465809212932,
    0.4749681766846546,
    0.39942764371817896,
    0.46091157809937683,
    0.37735067849362874,
    0.43164774969748054,
    0.3650535801430582,
    0.4205208456838756,
    0.43234290774327083,
    0.5120280518061772,
    0.46459549425482266,
    0.4606945099359517,
    0.40370552076957,
    0.4527928117029172,
    0.4145817508413485,
    0.4291029333368643,
    0.48735906083408087,
    0.47547780418742935,
    0.4250855419421575,
    0.42081832729318086,
    0.4676049573215022,
    0.4166708915502747,
    0.482727422365342,
    0.5003684260329034,
    0.5636458840119688,
    0.63967659842814,
    0.5676883480859307,
    0.5961981418590622,
    0.5130809143012587,
    0.645249927821311,
    0.5679387159665684,
    0.5963128631762336,
    0.5170289678461882,
    0.5811501782980575,
    0.5192391311364681,
    0.5211376020242593,
    0.45110232526577027,
    0.5889745153502947,
    0.521883083303463,
    0.5295034797185354,
    0.45848149563363694,
    0.49939822064014294,
    0.4692100992039096,
    0.4335415506136986,
    0.40013309303952815,
    0.5076136242276691,
    0.46523260937841165,
    0.4348321478118224,
    0.3970147398563734,
    0.48139235979626116,
    0.4434451560844422,
    0.40060461167015343,
    0.36525564756589757,
    0.4795122133828635,
    0.4362377263614227,
    0.39642686458231596,
    0.3820666050246999,
    0.5612071572561678,
    0.46393191975888004,
    0.5375188061828712,
    0.4366766178185416,
    0.5833823751799021,
    0.48793922138624907,
    0.5468480848120016,
    0.45431020805071026,
    0.49243590779110835,
    0.4055356786767062,
    0.44766678980240204,
    0.35837664792824925,
    0.5151085237065006,
    0.4291325323155938,
    0.4686014327115138,
    0.38265747020880364,
    0.4484283853115866,
    0.39481636781805995,
    0.39916675669699603,
    0.3437085500812727,
    0.46887622311496924,
    0.40290372429937377,
    0.407261115278433,
    0.36531233022630677,
    0.4132596261101346,
    0.3561480475183407,
    0.34801906652081877,
    0.2930058783530891,
    0.4250618459651019,
    0.36340594166693224,
    0.3722094502511547,
    0.4030909735047756,
    0.5947284451407978,
    0.5428756056294299,
    0.5333443756668385,
    0.47218079947631586,
    0.5565024732081865,
    0.5123274002374005,
    0.506656861527304,
    0.455053878820966,
    0.5543366704778944,
    0.5027648463013169,
    0.47513829632369176,
    0.418990120156364,
    0.5225867402623494,
    0.4779822192280163,
    0.4574331570248668,
    0.408082729247933,
    0.4841683938585777,
    0.4660014365659477,
    0.4017885614261215,
    0.3783476216004966,
    0.44910102395630963,
    0.4266534717803316,
    0.3719600764956191,
    0.37392897897547206,
    0.4679219811986365,
    0.4397042441042556,
    0.36837422098102457,
    0.34858342841222356,
    0.42769466057896977,
    0.41086225564949014,
    0.35956768022435415,
    0.43174334055151303,
    0.5339904227916786,
    0.45774964081714276,
    0.49194490014486103,
    0.4106797133522992,
    0.5199182460659382,
    0.45146353559650454,
    0.47853456948477274,
    0.4079515241927543,
    0.4804364932237083,
    0.40657508908365275,
    0.41357517692644585,
    0.3377624743546939,
    0.4694486413484335,
    0.40258589419298624,
    0.41193862359417516,
    0.43629680208233135,
    0.43860995688272797,
    0.39825125771845754,
    0.3722725645545707,
    0.3309973761477255,
    0.4228907880638529,
    0.3812799858384561,
    0.37297468887004565,
    0.4198719411350647,
    0.40745231745787175,
    0.36112485664120486,
    0.3207301666987124,
    0.3560791547896002,
    0.38767527384425426,
    0.43888197609762436,
    0.4142280305252564,
    0.46131314784428384,
    0.5622640056135886,
    0.4918636002359159,
    0.5480019224414369,
    0.4693188615224594,
    0.5476168068880147,
    0.4737210930453144,
    0.5241358863592538,
    0.4492830913410002,
    0.5204091227967106,
    0.4565197327764356,
    0.4831680181837788,
    0.4126265813041376,
    0.5098104517249026,
    0.4408433081805656,
    0.4687826622049739,
    0.4012711918705631,
    0.4427940817156077,
    0.41433821727160985,
    0.40387118975513375,
    0.36634797963287175,
    0.4306592983153219,
    0.3905659602277259,
    0.3827464858310542,
    0.3702709071950636,
    0.4262998150147728,
    0.3924418246200312,
    0.37060908747954835,
    0.34183262379482704,
    0.4089105862339479,
    0.3814201559874616,
    0.37502056067249373,
    0.42934247517881213,
    0.51219432966861,
    0.41950066544316483,
    0.5044502116653643,
    0.40987668499057295,
    0.5085660101267847,
    0.41805324388299825,
    0.4894604702114302,
    0.40198408807257247,
    0.45170542208963643,
    0.3693026601673861,
    0.421824531024081,
    0.3363538049927374,
    0.4513734206377661,
    0.3683731300003846,
    0.41910936763884216,
    0.4299599551258309,
    0.4091678125079718,
    0.3580110214915305,
    0.37781735686835644,
    0.32531539717532854,
    0.40678360393143936,
    0.3527179042912994,
    0.3852907076259655,
    0.4143168009260451,
    0.37442387305305314,
    0.32258511912440524,
    0.3290398576845512,
    0.3546667620605051,
    0.37319244332039647,
    0.4036460657373575,
    0.4328112281754638,
    0.4594202053468251,
    0.5376563712239235,
    0.4826943830696259,
    0.49818721510626507,
    0.43690075833410674,
    0.4856080043658246,
    0.4377921028632658,
    0.4516767070213436,
    0.4047356898371904,
    0.5020983342780537,
    0.4486944658687524,
    0.44368563375942416,
    0.38591053308129725,
    0.4580412616278934,
    0.40936204067233695,
    0.41120325065075986,
    0.46250715686100047,
    0.43987381143186133,
    0.4243950914204381,
    0.37850181404330957,
    0.36780359895546627,
    0.3876454276937139,
    0.3858305126403995,
    0.3545204775304742,
    0.4255486259771633,
    0.420835066727509,
    0.39834101446445525,
    0.35303906642942884,
    0.42395958983655646,
    0.37839642047490585,
    0.4603140904049533,
    0.4113067812264306,
    0.49318627704211804,
    0.4944976574822643,
    0.4187117671561545,
    0.465520417179189,
    0.38669274197031567,
    0.4616302418573158,
    0.3930627232503662,
    0.4318142516765662,
    0.46652294583534426,
    0.44316822178524734,
    0.3720408800080335,
    0.39114242114157427,
    0.3869877991343188,
    0.41524942133409465,
    0.4284939987515441,
    0.4739042547795774,
    0.5032797189224858,
    0.4068468296573682,
    0.3700365548762445,
    0.3596059959972102,
    0.4091382529641533,
    0.38085158165067373,
    0.4337203046042656,
    0.4351923436229161,
    0.4845218225033104,
    0.3732279796857585,
    0.421987125905241,
    0.3951906156150191,
    0.4443963824115672,
    0.4382513706015493,
    0.4982227362732991,
    0.48365231975486456,
    0.5382780810845574,
    0.6120736213226056,
    0.557257844274557,
    0.5995797314871621,
    0.5208242995674691,
    0.5185872834527415,
    0.477491014708657,
    0.5296914199724759,
    0.46287323559572896,
    0.5379679405196279,
    0.49202207908437284,
    0.5136514327652029,
    0.44995338620034575,
    0.48150848443287575,
    0.4380752407865476,
    0.46314885078471213,
    0.40354328392406597,
    0.6293324830397518,
    0.5720755526010429,
    0.5350743168978749,
    0.4839508078547124,
    0.5324523846482567,
    0.4933680487064402,
    0.47752827028642736,
    0.4334948463765391,
    0.5613932338140496,
    0.509518665909847,
    0.4722759793179249,
    0.4258638447792164,
    0.4929278124392898,
    0.45308683925606685,
    0.42496666981772563,
    0.40782831157466887,
    0.5475409477869528,
    0.4622651114063616,
    0.5495724731978491,
    0.44877196914335254,
    0.4873267561696241,
    0.4212194116727933,
    0.4936469294592035,
    0.4120182682853011,
    0.4625063019201358,
    0.3878387550248188,
    0.45023406890455325,
    0.36597184851721887,
    0.42514008033966266,
    0.3617220953310367,
    0.4144748288466273,
    0.3409261454767425,
    0.567037338820246,
    0.48930902514675173,
    0.49578243904977104,
    0.4207807216495953,
    0.49978192704383884,
    0.438078519942704,
    0.4495588223712972,
    0.4057876275967771,
    0.48248231468837866,
    0.4159214317587382,
    0.41518582897831907,
    0.3497091293550233,
    0.43555440908809756,
    0.3820352555602056,
    0.3982316968883957,
    0.43594738075538353,
    0.5205073475910958,
    0.5004828691280541,
    0.517651784991271,
    0.4644242015006713,
    0.43981015498822557,
    0.4244578319659793,
    0.43797599225585293,
    0.3973885907769254,
    0.47756947865002913,
    0.4483981243212959,
    0.4573909644379012,
    0.408411279032049,
    0.41556859322804063,
    0.39003822211411504,
    0.391131025843717,
    0.3498748898218863,
    0.5560713676508947,
    0.5287943008249526,
    0.4800918252917819,
    0.44588958982000826,
    0.4554134527522441,
    0.43913227690270024,
    0.4020502671202035,
    0.40292774029270434,
    0.5095939540141695,
    0.4770937006198486,
    0.4317604437144528,
    0.40556348978490303,
    0.4294122000868251,
    0.41823651741419376,
    0.38571633861423593,
    0.4611641025381189,
    0.47827298751963476,
    0.4277278796635412,
    0.4831394500286237,
    0.40872834260064,
    0.4227297211211449,
    0.38200435590607623,
    0.41956389747136136,
    0.36005697137573905,
    0.4203069283162779,
    0.3662121653862932,
    0.4045572096918384,
    0.33796281816551277,
    0.3757827085524479,
    0.3301677821586359,
    0.35585122815852527,
    0.37836133526029264,
    0.5091290639005149,
    0.46124230587807474,
    0.4493674051229164,
    0.398658419020462,
    0.4354005794445866,
    0.4040455278408727,
    0.40648603553622614,
    0.4600776809395817,
    0.44737744265789386,
    0.3999796421379586,
    0.3825481890814656,
    0.4286290485718075,
    0.389861305668098,
    0.45434906356059185,
    0.445524659808675,
    0.5008850621293485,
    0.5617464934677668,
    0.4938638724197646,
    0.5551801859900268,
    0.47980762721772824,
    0.469133357807649,
    0.4154965055201715,
    0.4810240408019678,
    0.4152688886223339,
    0.501430217079461,
    0.4426371473452419,
    0.4875877108592037,
    0.41890872002073004,
    0.43263577772055084,
    0.3795553641297245,
    0.4247752496547402,
    0.3643144247513842,
    0.5529617742856779,
    0.5060944983802209,
    0.49233594554326493,
    0.44258283468686005,
    0.45952160982298174,
    0.4260873133130688,
    0.42569386735538123,
    0.4164212191812163,
    0.5022104112812051,
    0.4563208372901595,
    0.44365003804592384,
    0.4095116628945299,
    0.42803814065037005,
    0.4054096871836627,
    0.41267243979778556,
    0.47787940757700176,
    0.5190433936030342,
    0.426121685334925,
    0.5190998614039273,
    0.42288225367002535,
    0.4487038760234419,
    0.37391889446669013,
    0.45501311318636667,
    0.3747365905125875,
    0.43947732936548073,
    0.3606421881181124,
    0.4336971538369595,
    0.3484961523294941,
    0.38556020112800976,
    0.3178257640286909,
    0.38369322337126105,
    0.3936562030601008,
    0.5138612874713647,
    0.44395234068420325,
    0.4637655230044031,
    0.39941429895939445,
    0.43938672026196923,
    0.39193829037265115,
    0.4304619084118588,
    0.4737160974554424,
    0.4410476378083407,
    0.3800122769881615,
    0.3993820636761463,
    0.432885499416709,
    0.386791257074416,
    0.43342920789658995,
    0.47349418983103453,
    0.5173202993023706,
    0.49985194328264054,
    0.45746967794351595,
    0.4920728233557605,
    0.4351555905902493,
    0.4106837880247536,
    0.3774945850929556,
    0.40629637704498417,
    0.36609015767616115,
    0.4550251495724129,
    0.41182034871936823,
    0.44108643346742843,
    0.38488276332678845,
    0.3810451574366581,
    0.3433911462848577,
    0.3676841463882773,
    0.4111242795996343,
    0.5040093286004158,
    0.480995032801666,
    0.4478048905238257,
    0.4336262108184068,
    0.39782481137550885,
    0.40356517213265125,
    0.3873109159709515,
    0.46924345095764974,
    0.46332953386895515,
    0.43572304535269096,
    0.4206828584758433,
    0.5029119514376552,
    0.3861769145179173,
    0.47773839603860185,
    0.45482792780621195,
    0.5492307806422895,
    0.46651397511292875,
    0.4008961489397328,
    0.464656724781625,
    0.38852670934585576,
    0.397858949581068,
    0.3441378099506124,
    0.39207867393807666,
    0.4241016174404173,
    0.4061307934876792,
    0.34428738551309607,
    0.3952508765367753,
    0.39624626372443084,
    0.3459882487048312,
    0.36065268939514283,
    0.42633969011194606,
    0.4518916236621745,
    0.47076768542005876,
    0.4270526545114786,
    0.43104407354587504,
    0.4903832225595154,
    0.3944799824086356,
    0.46773404054579687,
    0.47739677673560027,
    0.5451213596200092,
    0.41347099901519263,
    0.4700455445479312,
    0.4781062450802312,
    0.5426563397653399,
    0.4453083157484716,
    0.5250199554525194,
    0.5336751487626489,
    0.6093627887453454,
    0.5996617390011347,
    0.5346644167917814,
    0.5450043894613906,
    0.47266590934252106,
    0.5414264047986533,
    0.48588676774820605,
    0.5062024707944688,
    0.44191854045871537,
    0.5175203745654714,
    0.4649610550178678,
    0.4561169229497272,
    0.3954672238941391,
    0.4784282549384942,
    0.428489836164405,
    0.4292635764040615,
    0.3793783146842382,
    0.4859103989548678,
    0.450704272773208,
    0.40683093155121514,
    0.3730510221145023,
    0.441821141537144,
    0.4068107800016925,
    0.37506774656620817,
    0.37301554322992964,
    0.4305900525636382,
    0.3957254337702472,
    0.34759906397626916,
    0.3270465739360463,
    0.3934816651339726,
    0.37443819829679964,
    0.3454454973931751,
    0.3999624579111896,
    0.5354114993400956,
    0.4392070113403699,
    0.49376550988503504,
    0.39822500186809334,
    0.49466498983823276,
    0.41432159655034456,
    0.46203018657288597,
    0.38458953990136585,
    0.4420062703831472,
    0.36385028669328473,
    0.39435982581139656,
    0.3135310862693579,
    0.4196062956388183,
    0.3490912559790336,
    0.37970877991531476,
    0.396491434234505,
    0.43498356843199115,
    0.37446431280019205,
    0.368927587281402,
    0.3200018464296808,
    0.40618177389939625,
    0.35869298541070077,
    0.36969364588402176,
    0.4004750912956929,
    0.3656504759165304,
    0.31259155704277924,
    0.30347540949809587,
    0.32478659506316326,
    0.35295369819125216,
    0.38550202063298405,
    0.38733658527112436,
    0.4131721800103545,
    0.5355822418096999,
    0.4935941438234449,
    0.4777615896598556,
    0.4249047426563267,
    0.4666737072997552,
    0.4337384481517932,
    0.4262877584752461,
    0.392998811275583,
    0.4742441942565726,
    0.43496968499922334,
    0.4044322030704451,
    0.35750116705331064,
    0.4218109674611657,
    0.38712214870555256,
    0.3722894377773121,
    0.4250229769496826,
    0.45210791215338264,
    0.43324127343563373,
    0.37031027215565115,
    0.36471009197279797,
    0.38535434464325413,
    0.38727360479320505,
    0.3456488522475912,
    0.4170501660711656,
    0.40778761013299886,
    0.3866637097241101,
    0.3278266928824153,
    0.39374994095013427,
    0.3646734622175272,
    0.44130587385587383,
    0.37475457566809695,
    0.4487791424593283,
    0.4857722462512792,
    0.41633832471187626,
    0.4398724799238088,
    0.36555883982597176,
    0.4353942376890492,
    0.3773679084747745,
    0.40198071037510996,
    0.43729218057385716,
    0.4125527042881246,
    0.35114166051294826,
    0.3528890308479652,
    0.35516424584012546,
    0.3767556898814473,
    0.40051348038259327,
    0.4225030378195354,
    0.45109367320690813,
    0.4091063941468501,
    0.36712105124520744,
    0.34754433801468715,
    0.39214545558147557,
    0.3726155167698068,
    0.4250127150521512,
    0.4112813087317821,
    0.4587528633016437,
    0.35232240604260506,
    0.39775390002450334,
    0.35812801122360244,
    0.39892915191966466,
    0.41086518845901554,
    0.46631034351646283,
    0.42817315542925866,
    0.474519427885469,
    0.5360521826336208,
    0.47063321468042135,
    0.504241661624566,
    0.4347074125604367,
    0.4724455676825098,
    0.4148301135454461,
    0.4510947737154737,
    0.40265920213292317,
    0.47046673978942755,
    0.41192393392777016,
    0.42532242309990215,
    0.3624981783779441,
    0.4186065930050615,
    0.3636013762074171,
    0.3904399682435702,
    0.4261929983641983,
    0.43424503446735097,
    0.4011377604096664,
    0.37978621834532383,
    0.36237979775233176,
    0.37880242830579425,
    0.36921453133907467,
    0.3644773101579442,
    0.42260837269614354,
    0.38712564277405653,
    0.35705028594138366,
    0.3409333974833784,
    0.39398722825300053,
    0.3546707107353448,
    0.41330085953528095,
    0.3951562097459849,
    0.4519672349034613,
    0.4879532891381893,
    0.3975475002752226,
    0.4618705427845712,
    0.37311617289813537,
    0.4371649598583025,
    0.3597429512760751,
    0.4221820969719443,
    0.4454174674429135,
    0.40612151283427494,
    0.33017071673018056,
    0.3705435360685672,
    0.3645060367647355,
    0.3684248859283121,
    0.3749269366473075,
    0.43973878109433084,
    0.4526471019562897,
    0.3964846898455441,
    0.34068545064275396,
    0.3593933717959123,
    0.389095155188918,
    0.3690006378345499,
    0.40220927585899485,
    0.43035798453295887,
    0.4608455354296804,
    0.3341217987404675,
    0.36381081002954346,
    0.37511940707446173,
    0.4012440608667659,
    0.3969283341341028,
    0.42975873665256387,
    0.4510431668595352,
    0.4762035939924051,
    0.49143257548692115,
    0.4439166716976937,
    0.44978097153330876,
    0.3954788902475202,
    0.4153081683081865,
    0.3764767603740491,
    0.3975847898991428,
    0.45275123608028295,
    0.4366591679275521,
    0.39104725022319137,
    0.38141874980807994,
    0.4196552112882162,
    0.3732395121888503,
    0.42353572092965697,
    0.43132926944448857,
    0.48355669943638624,
    0.41113557967013536,
    0.4057548311753051,
    0.36642880044534837,
    0.4461534433092977,
    0.3533249037762209,
    0.43562467704589175,
    0.3951343713718716,
    0.47736318062667105,
    0.3734726216743082,
    0.4599577670111908,
    0.4027721361475424,
    0.48814259182967623,
    0.40527738089725346,
    0.49600066202610227,
    0.42772148565695317,
    0.5165481079426474,
    0.45104000190672416,
    0.38142777136852946,
    0.41651757198736616,
    0.431843174522207,
    0.39030436816687447,
    0.4193395363485248,
    0.47363064584895037,
    0.5126821904350543,
    0.3832998286587719,
    0.38559999486182595,
    0.4181259720436401,
    0.4365426081485725,
    0.41869430568046406,
    0.4524365463268058,
    0.4954244588147773,
    0.5254936480479555,
    0.3773481272623536,
    0.44308085105151074,
    0.428731951269763,
    0.48968306808560813,
    0.4237472767134577,
    0.4854443185919666,
    0.4801320880997905,
    0.5381008310632265,
    0.41412501029748605,
    0.48489532205197794,
    0.4486740929577349,
    0.5121910328532382,
    0.4643507862877338,
    0.5343203412688635,
    0.5028318855722937,
    0.564813698454728,
    0.5843888565003004,
    0.5254439552332669,
    0.5829947968586885,
    0.5018869232313301,
    0.544953030657438,
    0.48121942329723044,
    0.5484278881463187,
    0.4675417359359664,
    0.5578066846336186,
    0.49575365555627265,
    0.521212021606308,
    0.4509972848344845,
    0.5206038815864101,
    0.4574775684972321,
    0.49440592438172054,
    0.4221796814246708,
    0.6052349963134431,
    0.5434518973149947,
    0.5216298745702235,
    0.4666102262012008,
    0.541804500116279,
    0.49182822159692013,
    0.48430205385918157,
    0.4330879230017066,
    0.5770749200079024,
    0.5109319156251757,
    0.48024051845434385,
    0.4257852420433952,
    0.5198904052291567,
    0.4673684013981531,
    0.4455468239024034,
    0.41727133610750244,
    0.545684364721542,
    0.4508774464711986,
    0.5488411579707984,
    0.443948220744557,
    0.5264987662530247,
    0.43628091723120843,
    0.5252816092738016,
    0.4273843279774575,
    0.49997572298158194,
    0.40341113721562616,
    0.47295825294972127,
    0.37504552962803467,
    0.47722671520476034,
    0.3884336767023051,
    0.45664675091146145,
    0.36391457755182827,
    0.5591851268038528,
    0.4741659971070332,
    0.4941078871425615,
    0.4138772513670089,
    0.5177582226750644,
    0.4434596612201682,
    0.46568029170503694,
    0.4101074620833769,
    0.5139333941497336,
    0.4279656561174381,
    0.43640525047414397,
    0.3573208122731153,
    0.4726550553386769,
    0.39914382436124607,
    0.42597157460869484,
    0.4543185202288428,
    0.5280076384348762,
    0.49188708798766634,
    0.5162451250012482,
    0.45910263500530146,
    0.4701617824009948,
    0.4325367136264581,
    0.4548906642848817,
    0.4039889759372795,
    0.5151572390279812,
    0.46690119748113496,
    0.4761051682644757,
    0.42057548593625504,
    0.45464533780805133,
    0.4117625337229414,
    0.41986245366137004,
    0.3699868050661431,
    0.5403469240322861,
    0.5028567645494525,
    0.4665610100640046,
    0.42721725617239353,
    0.46732742569072655,
    0.4370787801362761,
    0.40784571824662386,
    0.3971513574044566,
    0.5246204723034669,
    0.4774841742845592,
    0.43754733434637955,
    0.39951955157373087,
    0.45392085657522746,
    0.4260095905240037,
    0.3995080969389352,
    0.46967357314009156,
    0.5005584776876129,
    0.4313438786184318,
    0.494072709534835,
    0.41257248783645795,
    0.46366815553794033,
    0.396672653516792,
    0.44775274988926916,
    0.3740454535326012,
    0.4707062200104942,
    0.3917267919874835,
    0.4351808456406349,
    0.3546568545048403,
    0.42517238774595995,
    0.3547003514133655,
    0.3939022917590378,
    0.40295746181419023,
    0.5062594357665817,
    0.44642562774256545,
    0.44631614798946456,
    0.3848790975279291,
    0.4538746167129846,
    0.4013999928955757,
    0.4163878234597258,
    0.46066534574058204,
    0.4757236738210729,
    0.40892739288690827,
    0.3992985055340981,
    0.42964077591466904,
    0.41955589523081477,
    0.46718587201614187,
    0.4732864118637854,
    0.5162297574899505,
    0.504617985954196,
    0.4446138562353491,
    0.5118925314218004,
    0.4412926782908518,
    0.461011678316567,
    0.39990646377549666,
    0.4714804258336746,
    0.401290769545804,
    0.4799201292906465,
    0.42281655516610445,
    0.4638592140897702,
    0.39971753063592447,
    0.4413342924720537,
    0.38247243593149266,
    0.43070281335019633,
    0.3649771246527651,
    0.5141308155680763,
    0.46832054913756754,
    0.4609205272730047,
    0.4116893665408603,
    0.44908031997261655,
    0.4113870131973369,
    0.4137517063662009,
    0.3963470756832111,
    0.489590029824953,
    0.44000665869975836,
    0.4253291049286403,
    0.3867326834653354,
    0.43144993915706614,
    0.40089844437520133,
    0.40652662539133894,
    0.4668713608861982,
    0.49025707291029014,
    0.396047412377199,
    0.4950169991069294,
    0.3987205787102718,
    0.45740808257481297,
    0.37003871184823933,
    0.4612397323533043,
    0.371987309835036,
    0.44162498714260257,
    0.35291847236556734,
    0.42816460744215595,
    0.33798871482759474,
    0.4098466521196037,
    0.327826530228634,
    0.40201600517679037,
    0.4009423587958647,
    0.4912536731349159,
    0.41809859429028035,
    0.4446797176133999,
    0.37400294503814124,
    0.43915933904611926,
    0.3813680363112259,
    0.42566753549758285,
    0.4588155335943711,
    0.4459014961481498,
    0.37400918163156766,
    0.3929234435536983,
    0.41556982916727797,
    0.39931435342833793,
    0.4366480830655632,
    0.48120621210572995,
    0.5134568709769524,
    0.4672531323559988,
    0.4241500090750169,
    0.46052321313544864,
    0.4060822383396594,
    0.4054637837474288,
    0.36451945576749645,
    0.3966781368718198,
    0.3512000929675229,
    0.4481047941682944,
    0.40225145383332567,
    0.4260207954589986,
    0.37300986922190305,
    0.3894927022664357,
    0.3470017728688934,
    0.36879286048474713,
    0.41261390539369985,
    0.4740005769998704,
    0.44649407844689637,
    0.4186342224520614,
    0.39791216413486574,
    0.3947866234109623,
    0.38861844928614403,
    0.3757817968354694,
    0.4487617015059042,
    0.4545026049659937,
    0.4205522175960818,
    0.39975663482643103,
    0.47422134569743424,
    0.3892265569653009,
    0.473952905236041,
    0.4500082727242624,
    0.5395473476429585,
    0.4547168923061987,
    0.381598722123751,
    0.4488956053785544,
    0.37031305442588935,
    0.4078573598169834,
    0.33909937795678363,
    0.3967127421137861,
    0.415855143941804,
    0.4178861989329183,
    0.34357349020632183,
    0.39518102217413703,
    0.38634530897100494,
    0.3686272951783795,
    0.3671998612328474,
    0.4420582206768848,
    0.4589563437123174,
    0.4541873896033967,
    0.4024708642212498,
    0.408694281854929,
    0.45511885931904716,
    0.3952850150785315,
    0.4526286151184871,
    0.47376699682738466,
    0.5253275429740818,
    0.4190406526848103,
    0.456627313829436,
    0.46806846922242373,
    0.5168926530871956,
    0.4614579952841885,
    0.5242777345330369,
    0.5427703965550206,
    0.6022633175835544,
    0.5742210836516449,
    0.507071673784875,
    0.5275090317721549,
    0.4476476231395869,
    0.5593910691463478,
    0.48830655490673663,
    0.5059559329773946,
    0.428342263975379,
    0.5234152609374375,
    0.45984097206185715,
    0.4596199487036026,
    0.38932735956573916,
    0.5042425878943562,
    0.4402699323502194,
    0.44334791112770244,
    0.37837642793208226,
    0.4746210361068998,
    0.43387284980130864,
    0.4025114085709149,
    0.35855756481326356,
    0.4503436562530012,
    0.4075853705015427,
    0.3746827855961836,
    0.35957483596836576,
    0.4501896674148381,
    0.40344201199925794,
    0.36388114581302955,
    0.3287946490894951,
    0.4165504876591341,
    0.3862001436216198,
    0.35893886491937055,
    0.4059247454631161,
    0.5280650399388783,
    0.43185709875544487,
    0.4893729291075708,
    0.39071497686311263,
    0.5240749404387288,
    0.4321047409081987,
    0.47438302415889244,
    0.3843998576129083,
    0.45872525340809855,
    0.37015502268006534,
    0.4061968360240476,
    0.31629616992318554,
    0.4518857951718168,
    0.3682940485008663,
    0.4003557974030717,
    0.4061416022633795,
    0.43599887289098377,
    0.37419236261355776,
    0.3757677525444098,
    0.31863413062630763,
    0.42382677649535533,
    0.36867873484381614,
    0.37753937967258683,
    0.40219974720228846,
    0.3936899128317244,
    0.3296941175750744,
    0.3251462468121013,
    0.33922361123384126,
    0.37977344771065996,
    0.4086533929222417,
    0.41502576703467825,
    0.43293672268799593,
    0.5323856047071227,
    0.47984878695475675,
    0.4702456325690125,
    0.411378991156161,
    0.4866418903702428,
    0.43678594063224374,
    0.42865456216596226,
    0.3823409793762152,
    0.4936313470359161,
    0.44050958685204356,
    0.41533347199030274,
    0.36075342925471215,
    0.4477325034475101,
    0.399421540298714,
    0.3849354686419932,
    0.4304090994997519,
    0.44230042138851317,
    0.4138712619039985,
    0.3633606408215155,
    0.3438522453097575,
    0.39509400876626105,
    0.3815475411644983,
    0.3432401332354807,
    0.40089571613223735,
    0.42392496012134145,
    0.38789060016977533,
    0.33663136002503363,
    0.39121009430027404,
    0.382274728543508,
    0.4514497255673245,
    0.39051786006890454,
    0.45512613079094727,
    0.4948559291655204,
    0.4172809640714207,
    0.4445625049533401,
    0.36529650532571856,
    0.46535912279237607,
    0.39195474047083084,
    0.41256181511907336,
    0.4399559953925095,
    0.43919558957659777,
    0.3640330768029825,
    0.3706960803927083,
    0.3631822146168069,
    0.4072365418304396,
    0.4179870865925491,
    0.44640125610630643,
    0.46623793484194725,
    0.4089125022897891,
    0.36098807816950046,
    0.3475117547636601,
    0.38318393882727436,
    0.3855144646308664,
    0.42871859530176554,
    0.4192905682628187,
    0.4548998298887091,
    0.37484075883343976,
    0.40706815943886054,
    0.3775435734207475,
    0.4067273144098952,
    0.4389567932943879,
    0.4843014796965982,
    0.45750447131911315,
    0.4913792465099917,
    0.49109019002044535,
    0.4288904481560213,
    0.4685918793999157,
    0.39725476645063634,
    0.4688164364460197,
    0.4046788900684552,
    0.4350068930144869,
    0.3763257267699276,
    0.4484328537166808,
    0.39075945678579244,
    0.4069771696013685,
    0.3431014163801064,
    0.4251737423402399,
    0.3658784075646841,
    0.3864916850885638,
    0.4162812017936345,
    0.407600361263228,
    0.3723921623517389,
    0.3593516919059397,
    0.3312856069963897,
    0.37398677599156904,
    0.35638988346280365,
    0.34751446049250934,
    0.39250526136738995,
    0.38263580788641405,
    0.3448859127479877,
    0.33190223676971814,
    0.3742952735805571,
    0.3599117529871987,
    0.4159164266014397,
    0.39238958402267493,
    0.438263653428555,
    0.4636798597331452,
    0.3757270140158644,
    0.4427149901184805,
    0.3529462423328967,
    0.4488668233906799,
    0.3647542534501375,
    0.41830926015072684,
    0.43316420248864923,
    0.4000055132040435,
    0.3208520446462405,
    0.3638451926839719,
    0.34867775611105195,
    0.3850747677889854,
    0.38411859247673436,
    0.44800329248747806,
    0.4529684826512056,
    0.38354319722985103,
    0.3268608699196421,
    0.34852940389495024,
    0.36947278495290864,
    0.3724921111078608,
    0.40240274087477496,
    0.42584092487802033,
    0.4438101667930968,
    0.34076490804574866,
    0.3621078668195057,
    0.377346443971266,
    0.3917910098138483,
    0.41497724024335564,
    0.44448582004054144,
    0.4637033781439888,
    0.47378402674616593,
    0.46113411251857145,
    0.41124331552394544,
    0.4207574211929331,
    0.36473605609465726,
    0.41242197078842074,
    0.36553914977118673,
    0.38053892840543524,
    0.42453497314379657,
    0.42551326854778787,
    0.37709584192974677,
    0.3690505090565467,
    0.39947682336044477,
    0.37936199990491426,
    0.42214336975434835,
    0.4291308464887822,
    0.47658922449730434,
    0.3877232687984848,
    0.37189715608751367,
    0.34080708293375256,
    0.4036425047053015,
    0.3495233350497804,
    0.4201895214442315,
    0.3801567806457606,
    0.44499782629136314,
    0.3657649833548411,
    0.44133024219298767,
    0.3897836998002811,
    0.46009386488006127,
    0.4125705831708883,
    0.4963791622891503,
    0.42835106004977713,
    0.5039312427236146,
    0.43669950642163413,
    0.3646495974928076,
    0.4024500255085048,
    0.40803010284139984,
    0.4010313341148761,
    0.4179813923200821,
    0.47021767889581906,
    0.49771757980623527,
    0.38389828783905794,
    0.3764838740612767,
    0.41042923448833846,
    0.421412654867327,
    0.43360530699146765,
    0.4589416546335099,
    0.5064307357693547,
    0.5272409451110489,
    0.36475590406111325,
    0.4173396548577353,
    0.4114629596631323,
    0.4560539139675719,
    0.42948281936347105,
    0.4772196032614047,
    0.47665839912457236,
    0.5113623302335182,
    0.41566066481322794,
    0.4743191559976845,
    0.44558559687062455,
    0.4901524201307602,
    0.48410828618849056,
    0.540946363855119,
    0.5185991811664814,
    0.5564280455364156,
    0.542255782316736,
    0.4928301905543749,
    0.5351263534101768,
    0.4671115053183676,
    0.4593509554538653,
    0.4135150162205093,
    0.46623758804545956,
    0.4003999509016939,
    0.4894697978397485,
    0.43940349098943843,
    0.4593092802649953,
    0.3991551699180886,
    0.42722113200258194,
    0.37680769027112027,
    0.4041139863468745,
    0.3457827888570899,
    0.5509335846217968,
    0.5027225108398168,
    0.47786475161448,
    0.4307427612274674,
    0.46579278835394694,
    0.4273648644322285,
    0.41639268634856275,
    0.40355304132452363,
    0.5032809302827991,
    0.4507684988678038,
    0.4202945223011707,
    0.38420900606193875,
    0.4346749317500323,
    0.40492282577404165,
    0.39385083731345194,
    0.4474050054766581,
    0.5074418134447931,
    0.42246311092524585,
    0.5025699012562439,
    0.40887870755009237,
    0.44292622798960135,
    0.3707481444861029,
    0.441979912635956,
    0.36055067567108073,
    0.4365579274660368,
    0.3559709019968469,
    0.41461765022088354,
    0.33011723001532534,
    0.38627633008430573,
    0.31434699250903453,
    0.36880376387331065,
    0.37241999966968753,
    0.5123857678324507,
    0.4385709456849695,
    0.4506952095070055,
    0.38698608550096114,
    0.4447763036807655,
    0.3925217934214533,
    0.4216371768481337,
    0.4560261846419317,
    0.44486637343694174,
    0.3741045591240781,
    0.38211093385555117,
    0.40487982104253994,
    0.3966292074906345,
    0.4326325693760928,
    0.45479035984379196,
    0.4828044237726387,
    0.48167171210448345,
    0.4524971393988048,
    0.4701587730258709,
    0.4215313764368113,
    0.39795712361304864,
    0.36732298034265015,
    0.3854883325412045,
    0.3474163757125901,
    0.44119334706588215,
    0.4037088206783155,
    0.4094916386028639,
    0.3623400504464142,
    0.3693985766410122,
    0.3305534030858264,
    0.3382182509684376,
    0.3754188364903242,
    0.4922767482982369,
    0.4627694837671309,
    0.42783229968775793,
    0.41059608698150857,
    0.3982247543409618,
    0.391508505402517,
    0.3739325149567151,
    0.4404327625162899,
    0.4554416018603213,
    0.41762798967710574,
    0.3915215123897372,
    0.45910784670474947,
    0.38764633081946054,
    0.45955708363231307,
    0.4232988703857487,
    0.49252876662873424,
    0.4553403313159249,
    0.39568375801149036,
    0.4473250052656753,
    0.3755151860212165,
    0.3874822141757389,
    0.3319967703662497,
    0.37434441965656207,
    0.39923950924321866,
    0.39926257933418474,
    0.33627712921168135,
    0.3710616886690494,
    0.37244337707096475,
    0.3382001616974018,
    0.3469325616493291,
    0.39551753799142647,
    0.4089647275141108,
    0.46200309793710426,
    0.4101942081193315,
    0.4148400162605723,
    0.4645190019601883,
    0.3949482939702118,
    0.4497539571049593,
    0.45980066390952545,
    0.5067134023656694,
    0.4087820809587756,
    0.4488989095727062,
    0.44752231139270465,
    0.49332983399727737,
    0.44771811890516794,
    0.5009811326731338,
    0.49812754534517295,
    0.5413687910807317,
    0.47210499686206303,
    0.41966175179751614,
    0.4733285157621859,
    0.4117142002940188,
    0.39555779520891915,
    0.3481644441405216,
    0.4055898129939326,
    0.35640865625484386,
    0.426920279424381,
    0.3763195395989291,
    0.4115747770760571,
    0.35316231612545274,
    0.364061529294724,
    0.31466900178687673,
    0.3592560424224103,
    0.3874495049897008,
    0.4756267757118831,
    0.43611396318569245,
    0.4265426544222919,
    0.4025482053020876,
    0.39013202372318595,
    0.3793573146582342,
    0.3910626337832257,
    0.4515254721601729,
    0.43575168232457745,
    0.39223179169434674,
    0.39389808427516476,
    0.45143061519622407,
    0.37915823046355823,
    0.44318993841783355,
    0.4440731619506818,
    0.5081866520214352,
    0.4527822917814485,
    0.36900186023337866,
    0.4524061283710947,
    0.3660501825823847,
    0.3884617000964184,
    0.3169428212828948,
    0.39442075909061797,
    0.4097667562907929,
    0.3863867354751271,
    0.3102392623423473,
    0.3752468804812699,
    0.3664333912009068,
    0.3316848538158796,
    0.32858320776959354,
    0.4189826875253525,
    0.42249690486145786,
    0.45238563570346935,
    0.38652505241113067,
    0.4193597596143975,
    0.4520750038012743,
    0.39202368949151245,
    0.43648323582204007,
    0.47867028519617727,
    0.5185905557452435,
    0.39095674121120844,
    0.41796263849337284,
    0.45371202021825774,
    0.4827213815868709,
    0.43519166238381246,
    0.47809249166998924,
    0.5211053430074821,
    0.5587968678448346,
    0.4313580288081685,
    0.39321388526348033,
    0.4238124333739265,
    0.3751857459830925,
    0.34987929661853984,
    0.31390061491014504,
    0.3499758449361294,
    0.39292050222417585,
    0.39123154285071804,
    0.3507413983110747,
    0.37185399529705837,
    0.40816528347109676,
    0.31930971033683536,
    0.35359793649038035,
    0.3892920698082812,
    0.42662805603093784,
    0.4346252469638598,
    0.41640812866996035,
    0.40391184323096263,
    0.4854541778332919,
    0.35404406159178764,
    0.4369635229049489,
    0.418671505578313,
    0.501574576339776,
    0.39975746485197233,
    0.4831112288432349,
    0.46485426461474694,
    0.5549854659926866,
    0.4231206266787868,
    0.513413660551776,
    0.4828440211297561,
    0.577157280751525,
    0.41422913609993434,
    0.34944770419636334,
    0.40788509697675235,
    0.4219348979528311,
    0.3450411448359577,
    0.36008969570938376,
    0.43405901995315016,
    0.4583020942685045,
    0.35836178059268536,
    0.3524196558939387,
    0.42135378260909634,
    0.4397080569659581,
    0.3660079565206804,
    0.3828275498185239,
    0.4617870695522104,
    0.4735928188834995,
    0.4142057997286634,
    0.4746178392281634,
    0.49179954557363836,
    0.5555053878561844,
    0.44183820114676287,
    0.5100571819626446,
    0.5270073541307363,
    0.5896716266390184,
    0.46005221111393046,
    0.5293275049258876,
    0.54104041055523,
    0.6105404987902113,
    0.49664056424341235,
    0.5694393561948197,
    0.583757941242063,
    0.6540157309850688,
    0.5294465789051594,
    0.4718366918574812,
    0.478743114750714,
    0.41109365214248483,
    0.47526051308600425,
    0.4204513949171852,
    0.4330799616581345,
    0.38275359242015855,
    0.46089041743418874,
    0.4076598688392465,
    0.4019515680200966,
    0.3411602487925118,
    0.4152339008300028,
    0.3630504756593581,
    0.37509415532440943,
    0.40354139652104526,
    0.44216028413779424,
    0.4056717497443486,
    0.36780409479736514,
    0.3481745152967795,
    0.39176250558446074,
    0.37914360080384146,
    0.35589845243143936,
    0.4063540924151345,
    0.39292494162872865,
    0.3578363223686572,
    0.327604978489907,
    0.37109220876159693,
    0.36356448812910536,
    0.4185400758682559,
    0.3817865816539915,
    0.4264960218309332,
    0.48871324583690967,
    0.39937890560209827,
    0.44246578751485194,
    0.35280049806542946,
    0.4452432879801441,
    0.3664525681705595,
    0.40898020760238957,
    0.42347814333515826,
    0.40403072481858626,
    0.3262204843867548,
    0.35489635003185255,
    0.3432625806180017,
    0.37071394749120984,
    0.37737477744633746,
    0.4262951051347372,
    0.42806157338335293,
    0.40410515807156416,
    0.3457001975467471,
    0.350154619515524,
    0.3737201873251033,
    0.38224564679573786,
    0.41546127956424556,
    0.4189531212442942,
    0.4418551867733515,
    0.3398199757307747,
    0.3638946266587008,
    0.36183436817866904,
    0.3753899039951777,
    0.40745529206498254,
    0.43636534329349613,
    0.435526606705605,
    0.44578079569316464,
    0.48040453121107385,
    0.4377142967453642,
    0.42155173337997454,
    0.37103836732173123,
    0.41214042990426203,
    0.3729031571261739,
    0.3776486870709297,
    0.4232617840144848,
    0.422827388639229,
    0.380171462953925,
    0.354158493172856,
    0.39297393759048516,
    0.3636427414579127,
    0.4123400550472662,
    0.403915490942278,
    0.4446840156538352,
    0.40648540311057163,
    0.3925729711087995,
    0.3485503837308531,
    0.41394819190750254,
    0.36011626081328973,
    0.4308289161029521,
    0.3822220963239623,
    0.4470632374847618,
    0.37029286537188394,
    0.4416856289846104,
    0.3778313906209519,
    0.44385983997864453,
    0.4100317476336496,
    0.48269334332990166,
    0.40656903632241537,
    0.4684068691409366,
    0.44702881775282144,
    0.377828567421553,
    0.39527250016189874,
    0.4093160293158996,
    0.3908477497705844,
    0.41646308916318453,
    0.4517622763296199,
    0.47740184107301903,
    0.37520496586612084,
    0.37696066184125604,
    0.39485125233473856,
    0.40767008421435935,
    0.4124813238887304,
    0.4382664493822548,
    0.4663873352712733,
    0.4795390014172866,
    0.37532170231464873,
    0.42893805085519665,
    0.40879571590421565,
    0.45440568525905684,
    0.43086729523886086,
    0.4794715673522726,
    0.46149394681009287,
    0.49886150597897044,
    0.4102883723455994,
    0.4622107040479616,
    0.4213793764620695,
    0.46046917597804315,
    0.4674413607845131,
    0.5156311049155048,
    0.4749546103071115,
    0.5016891306550709,
    0.45481543944588215,
    0.40166175624311684,
    0.425253128698023,
    0.3652382974962856,
    0.4009431279831803,
    0.3544175131762996,
    0.38933760010222,
    0.42544686217017813,
    0.39800506930185264,
    0.34727516393790353,
    0.3556799088162218,
    0.38392221554819783,
    0.34868451962914526,
    0.3854024918421541,
    0.412723808231477,
    0.44066100051298224,
    0.381629831034226,
    0.3608027844601674,
    0.348737281319618,
    0.40226486021431473,
    0.34912779393257126,
    0.4101269270824741,
    0.3917289844697994,
    0.447270586999554,
    0.3440596163553128,
    0.4004059051675002,
    0.3792952361364484,
    0.43071447098722243,
    0.38811078804278815,
    0.4502738350312367,
    0.4148042067538389,
    0.46176696617191554,
    0.42590635853911274,
    0.34576902099496626,
    0.3970920123464325,
    0.40194552703672953,
    0.38026081750385354,
    0.3958558555514744,
    0.4633516135827853,
    0.479178349684978,
    0.3517244198595145,
    0.34178560368047056,
    0.39772166460613906,
    0.3970878783605915,
    0.39643982366615754,
    0.4068124553755716,
    0.47616219350836214,
    0.47647086582015363,
    0.35802032773294085,
    0.39265175277898706,
    0.41075660127729957,
    0.4374740983847127,
    0.41945834429513257,
    0.4553679300911483,
    0.47235000267863725,
    0.494719348107378,
    0.38194755719912254,
    0.41330259953942894,
    0.42632235655933864,
    0.44512386900612555,
    0.4426983269520213,
    0.47576877085447317,
    0.4872859347763375,
    0.4917139180775579,
    0.4198654182949148,
    0.3779583761558296,
    0.3805431198076237,
    0.42786074964267284,
    0.3561734001791423,
    0.4082536750976103,
    0.424926104776751,
    0.47517380847014734,
    0.36895171681037764,
    0.4059701022630702,
    0.4077668429771945,
    0.4541429532836665,
    0.39648875949920054,
    0.4462629905274957,
    0.4500766329723786,
    0.49431729803586183,
    0.36697335307797263,
    0.45359170149024974,
    0.4081027899349894,
    0.4923564702603457,
    0.3898751981608302,
    0.4743529720616379,
    0.4214963393793534,
    0.49971661668278133,
    0.41818172816876886,
    0.5114266084524932,
    0.4458476837962271,
    0.5380532020029699,
    0.44045934504474094,
    0.5331935805956881,
    0.4447667999270866,
    0.5221334458932263,
    0.3941889028702004,
    0.4054599575939007,
    0.4545270859441953,
    0.48035271379465766,
    0.4322885345915072,
    0.462463585717315,
    0.518029953111416,
    0.5493975748236715,
    0.40094968255091223,
    0.4268845466495962,
    0.4643431608153391,
    0.4804294354318723,
    0.4578902929003745,
    0.48262792607992083,
    0.5324845873401448,
    0.549654834097386,
    0.43262917764188374,
    0.5041354573069318,
    0.48719512854850955,
    0.55260910177316,
    0.4774559160530383,
    0.5381260999447521,
    0.527229121040198,
    0.5735282756224164,
    0.4719986453249403,
    0.5494865595520823,
    0.5108427611590685,
    0.5803610442247169,
    0.5163227318924364,
    0.5843304896746161,
    0.5447147889703886,
    0.5822415621595627,
    0.6604650365642839,
    0.5847332126682425,
    0.6230869746695977,
    0.530162470876685,
    0.5906928847307158,
    0.5287284067570632,
    0.5703150566543331,
    0.4891664363402727,
    0.6238875890219572,
    0.5507148584155153,
    0.5735552360895023,
    0.4893088749631765,
    0.5718431066937828,
    0.5063408523597164,
    0.531040820545271,
    0.45321664022539576,
    0.6240517873086429,
    0.5720079499144886,
    0.5316155627063031,
    0.4799545499785318,
    0.5362701397702733,
    0.49795696912508025,
    0.4738270476476525,
    0.42913480873019455,
    0.6045641908234846,
    0.5474639292181472,
    0.5057551333785081,
    0.453145228112179,
    0.5299178654340693,
    0.4855158364206243,
    0.45291076022964843,
    0.4360172095021297,
    0.5786192384360586,
    0.4884883446879474,
    0.5622690053246339,
    0.45884998822341533,
    0.548103313569674,
    0.4654591030113568,
    0.5295301607529771,
    0.4361143914787363,
    0.5345978752631578,
    0.4450338810493845,
    0.5009108855631076,
    0.4036438903157275,
    0.508870767715623,
    0.4257662402386122,
    0.47702645095938606,
    0.3862515191185636,
    0.5626182286537279,
    0.49322898087816947,
    0.4913683208717294,
    0.4212926628048089,
    0.5072132268499993,
    0.44402229576689234,
    0.45050483178670114,
    0.40872176004600047,
    0.5277557075742495,
    0.4570219243289733,
    0.4497615227979952,
    0.38289408117348006,
    0.4767642673871096,
    0.42099075854085155,
    0.43459173531466655,
    0.47348214198819966,
    0.5507453893344966,
    0.5183377090801097,
    0.5193570193992916,
    0.4630269301806553,
    0.467653796594803,
    0.4446479319684304,
    0.4484473004158757,
    0.4042262127448972,
    0.5409480421706535,
    0.49536057698502617,
    0.495479448012217,
    0.4376866727686267,
    0.466561121426903,
    0.43113475579413507,
    0.43073472076813674,
    0.38399732876522097,
    0.5431986310286038,
    0.5196881679538596,
    0.45869269001319274,
    0.42897285138047503,
    0.44405431897091596,
    0.43041600686757486,
    0.3855873027656647,
    0.39208881058350004,
    0.5351455691058213,
    0.4999691645273137,
    0.44317505946574465,
    0.42043743474934087,
    0.44554384552576937,
    0.4388577384892656,
    0.40024855349354294,
    0.4807099035686605,
    0.5057111681470269,
    0.447245211847555,
    0.4866248299501329,
    0.4104434294364648,
    0.452619928988813,
    0.40002424799601555,
    0.433390834573095,
    0.36756220202191525,
    0.4806452035406846,
    0.4124460406278484,
    0.44344165069460273,
    0.3677901096270847,
    0.42917225923212243,
    0.3687150110650554,
    0.3970565146342362,
    0.41892095192390844,
    0.5010342641425747,
    0.45617579995448937,
    0.4333157469776594,
    0.3890497342488324,
    0.4299296204312296,
    0.3987361542055859,
    0.398601433405888,
    0.44982203070428767,
    0.47749444704587185,
    0.42503538863367657,
    0.40286356850288046,
    0.45138030765037945,
    0.41701069089430026,
    0.47787033401407525,
    0.4713098920791303,
    0.5266075872957694,
    0.5649554890773234,
    0.49885760675153773,
    0.5491410690099777,
    0.4753978815743192,
    0.48708020170963884,
    0.43216562445651724,
    0.483008551246058,
    0.41867842027295776,
    0.5450128750400779,
    0.4779635540035816,
    0.5138556706651731,
    0.44134768530546814,
    0.4793963419190282,
    0.41936579830190357,
    0.4560778823410428,
    0.3943607690366442,
    0.5274589739904185,
    0.48809173611686907,
    0.4744721408824088,
    0.4287527834242824,
    0.43989361362826096,
    0.41038310896070873,
    0.4054521413462393,
    0.4019318058844971,
    0.5177277695179151,
    0.4713905436189935,
    0.45505410603834506,
    0.42552894905002325,
    0.4403693818460934,
    0.4233535890445465,
    0.425088065093841,
    0.49552309197505306,
    0.5213001644487327,
    0.43549965764363396,
    0.5116133788455597,
    0.4224723016814339,
    0.4682356466808752,
    0.39098286119463976,
    0.46073112411768113,
    0.3817882516582268,
    0.4829162217698226,
    0.3991248230889913,
    0.4600144060285781,
    0.3724784862157204,
    0.43539661525257156,
    0.35811878537058084,
    0.4169340086934914,
    0.430254355416816,
    0.4924318956715933,
    0.4316909338767935,
    0.44740820921824453,
    0.3933461690580552,
    0.4262074585666934,
    0.38344761639606556,
    0.4186944033587771,
    0.4613642033320201,
    0.462843787090357,
    0.40068816145079755,
    0.4185604700520023,
    0.45800333050537373,
    0.41217874427348977,
    0.45955672672442016,
    0.49818085382142685,
    0.5447125249951564,
    0.4955668029548757,
    0.4535717515239562,
    0.4713692966138362,
    0.41988600904322687,
    0.40120118918458675,
    0.37128412004564565,
    0.3898239388369968,
    0.356781571779703,
    0.4844591837966203,
    0.4347146322563585,
    0.45194859164480206,
    0.39668460744201006,
    0.4003225320077853,
    0.3609232758347885,
    0.38132833477084727,
    0.4307337813503411,
    0.4739545577519793,
    0.4551425113964709,
    0.41601792114558095,
    0.4092608043364555,
    0.37019956796842196,
    0.38302600348129967,
    0.3615043952045795,
    0.443478389929909,
    0.4655966226499707,
    0.44104364002987806,
    0.41775653073746694,
    0.5034990077281668,
    0.38926028405434354,
    0.48267653896753987,
    0.45444691688417554,
    0.5559088215127884,
    0.4677293065923034,
    0.40295171785583556,
    0.45018909744880764,
    0.3790195020536363,
    0.3969102516645401,
    0.34040204471482394,
    0.3847946858798948,
    0.4165804881696466,
    0.43939004176139573,
    0.37038250002477974,
    0.41153883010808273,
    0.416248615594268,
    0.373166251688589,
    0.386759785846608,
    0.45097647416911885,
    0.4773340427773952,
    0.44742635704732087,
    0.4062253395795162,
    0.4078061771894166,
    0.4651481873299395,
    0.37751339632946673,
    0.44025469681642015,
    0.4541739932796819,
    0.5143850568359001,
    0.4227134655104195,
    0.4829117743783435,
    0.4837852608034952,
    0.549925650541134,
    0.4590827239120893,
    0.5302202012265645,
    0.5457885346419109,
    0.6196906234726691,
    0.6433461720889618,
    0.5705243005277193,
    0.5911704142280871,
    0.5053394092144919,
    0.6044680279548651,
    0.5360554750634501,
    0.5512874820009752,
    0.47516185296801067,
    0.5976439912721637,
    0.5292218531428446,
    0.5298248549983182,
    0.45243271760655435,
    0.5647167954507173,
    0.49949381420204914,
    0.4966759280408026,
    0.43843309198791913,
    0.49663807377996577,
    0.4621170579102441,
    0.41990841032300874,
    0.3802955676157932,
    0.4672856102966932,
    0.42942234806295665,
    0.38836901699744236,
    0.3870421607008559,
    0.4815693905949429,
    0.4402374173382007,
    0.39080730365349237,
    0.36782715287615025,
    0.4484589338347614,
    0.4297251899588833,
    0.3903101454089267,
    0.4508650378380544,
    0.5704876386321164,
    0.47882267066024414,
    0.5321011323228491,
    0.4352442471493578,
    0.5511474522152305,
    0.4639701556417628,
    0.5027058854366478,
    0.42254051656423613,
    0.5121528251458904,
    0.4263169476956413,
    0.45732705171887555,
    0.36784190468429206,
    0.49683126414315115,
    0.4140423490695895,
    0.4427559995496614,
    0.46425106057732696,
    0.4482439361769622,
    0.3947380061684091,
    0.38625362394172524,
    0.3422312168390742,
    0.43487658132135304,
    0.3906304146411097,
    0.39336209189907045,
    0.4266634065409257,
    0.4173153310988769,
    0.3605992959921006,
    0.35111718605866876,
    0.3802611409116653,
    0.4130981882893503,
    0.45498568383679094,
    0.445857584601366,
    0.4782494757441359,
    0.5647959914394657,
    0.5178279686659493,
    0.5036486947559325,
    0.44598384112411116,
    0.4923919607336842,
    0.4560473581708779,
    0.44530800300353207,
    0.41315844409825764,
    0.5370639438349359,
    0.48704437780614224,
    0.4583101462173243,
    0.40265687914910725,
    0.47205409640438356,
    0.43152088647633363,
    0.4204701192171164,
    0.48048291553030636,
    0.4468260106744928,
    0.4277113184753203,
    0.36243072954966654,
    0.35864030135537994,
    0.3910280058734946,
    0.395475979618623,
    0.3475673394516603,
    0.41840377018185876,
    0.4360936307352417,
    0.41467883277255346,
    0.3518617657626336,
    0.4204197658803021,
    0.3989225211627216,
    0.4826984015627803,
    0.4090743731772103,
    0.4915248721986501,
    0.5140238126435008,
    0.4443700863456119,
    0.46617822037111706,
    0.39091252799705417,
    0.46135658083274644,
    0.39901507848257006,
    0.42535285302927145,
    0.4635120951410264,
    0.47096243424096323,
    0.40110754592364967,
    0.4020058298541189,
    0.41081956979524686,
    0.4238526992846057,
    0.45056661606714454,
    0.47867266227583394,
    0.512422469910611,
    0.40820401485843105,
    0.3707498266436287,
    0.35033357715914415,
    0.3956076217005625,
    0.3853244457183051,
    0.4380177536248964,
    0.421168157678502,
    0.467532793864979,
    0.38183540369136737,
    0.4350002700522657,
    0.38979187353064976,
    0.43442451911012636,
    0.4556142735577127,
    0.515148019517069,
    0.47443758877550324,
    0.5262304367983087,
    0.5580193330591594,
    0.49060939041955426,
    0.5270186966742852,
    0.45296489546918384,
    0.5067993289349293,
    0.44419904234115704,
    0.4714007840530867,
    0.4246133820723521,
    0.5244791169397847,
    0.45861301034903135,
    0.4703221497686242,
    0.40056132771205893,
    0.4787475664214435,
    0.41565179840122257,
    0.4376750665874277,
    0.4807501750482872,
    0.4217516886712947,
    0.3883767118487578,
    0.3733000636449598,
    0.3554514993936695,
    0.3823926687223274,
    0.3729568438338228,
    0.3657184345525783,
    0.4184206038795718,
    0.4112293919309679,
    0.38061870287877125,
    0.3622638155828177,
    0.4137256810892918,
    0.39439056460488414,
    0.45635852204913235,
    0.42761192042880336,
    0.4841923389237872,
    0.5087990048109157,
    0.4231334603730503,
    0.4837492523875692,
    0.39715368444009314,
    0.4722203924701559,
    0.39161726742034864,
    0.4476293703192309,
    0.47633154274990747,
    0.45833267347985046,
    0.37779409050096024,
    0.41220279065970683,
    0.4158413604045307,
    0.4255342109892304,
    0.43885402320937894,
    0.4965366157952124,
    0.5169229325608999,
    0.38909331752390924,
    0.3418673470101511,
    0.3629476291177345,
    0.3943191052053635,
    0.3831255873638487,
    0.4164252330632009,
    0.44185889996387034,
    0.4679817671206146,
    0.3618068763314285,
    0.4004746932375005,
    0.4053611811724154,
    0.43506827755600525,
    0.45150936635949335,
    0.48913863549458064,
    0.4992782127202663,
    0.5236590931410251,
    0.5033436013253989,
    0.45241554431965625,
    0.45696628600209316,
    0.40209419308022193,
    0.4235039198434793,
    0.385196665618003,
    0.4037880594530767,
    0.4620740819794506,
    0.47785389020183383,
    0.4246739890777948,
    0.41193402232809173,
    0.457798755111137,
    0.40595850428913227,
    0.46321458510384866,
    0.4701619943513514,
    0.5320196241198636,
    0.38739852856577156,
    0.38270076428734917,
    0.34626516715053834,
    0.41680964325958053,
    0.34557534846244425,
    0.4190564166617039,
    0.38236614158377863,
    0.4530761236180226,
    0.38359301848423405,
    0.46706474382495883,
    0.40514946099404003,
    0.48500481933536,
    0.4268619406875923,
    0.5149865216999099,
    0.44613588008912286,
    0.5296472713408975,
    0.466247989611124,
    0.3952940271965546,
    0.42802662154950344,
    0.451258803894352,
    0.4027913055594772,
    0.432364402986158,
    0.48687157152252036,
    0.5275412567083081,
    0.4246909926696737,
    0.4290789131184508,
    0.4594238387634844,
    0.4844784943877913,
    0.46362304588626935,
    0.496424096892319,
    0.5446959676562605,
    0.5805107605276065,
    0.36290089071797277,
    0.4231529466211489,
    0.4133810080699145,
    0.46549602497184395,
    0.4215676980600642,
    0.46825542886785254,
    0.47545570858509656,
    0.5136081716046647,
    0.42981080737163696,
    0.49819172834980674,
    0.4553664592275557,
    0.51320689406407,
    0.4975612883564596,
    0.5588113008713356,
    0.5339903538249897,
    0.5823450972338674,
    0.6150088808021096,
    0.5518799842888911,
    0.5768112337115706,
    0.4975567995807878,
    0.49411937216427093,
    0.4537862399862701,
    0.48416080527859895,
    0.42035809567699367,
    0.5520013004567907,
    0.4936861584024642,
    0.5087123216077896,
    0.4379068213764395,
    0.46220760215749496,
    0.4165807426322943,
    0.43027695295369467,
    0.377746500996373,
    0.5859615421059339,
    0.5387238668060055,
    0.4978295363990844,
    0.44954808770277027,
    0.46447742986522944,
    0.43529053916385746,
    0.4101706485535901,
    0.40994831086622896,
    0.540560068296443,
    0.4917896652156078,
    0.4500447088742505,
    0.422625530448161,
    0.4425887452862242,
    0.43138625629797256,
    0.4069064883528579,
    0.4713638682941202,
    0.548583928181808,
    0.46562573609112556,
    0.5230364378026093,
    0.42957298132160243,
    0.4635961926196943,
    0.40027556794253927,
    0.4485896852161821,
    0.3777745304753054,
    0.4725512458443122,
    0.39811579729738045,
    0.4428796425050013,
    0.36002515425646775,
    0.40951815404676206,
    0.3471430620246337,
    0.3857696723225021,
    0.4038840324643868,
    0.5315584140595738,
    0.46522709655737465,
    0.4577245027881961,
    0.406211442067939,
    0.4401481912927184,
    0.40464590911013815,
    0.41732480599372845,
    0.4598302003116492,
    0.46595512810193435,
    0.40555619568582507,
    0.40532978752537147,
    0.4432717892853116,
    0.40815182299504577,
    0.45982208156707216,
    0.4642443824849858,
    0.5080282024689047,
    0.5087847207965558,
    0.4808850255458985,
    0.4755466346640472,
    0.4266194517140286,
    0.40099263419985,
    0.38412387960852584,
    0.38355915753487296,
    0.35724237893982597,
    0.4694086578282382,
    0.43436677258986983,
    0.4290248256399943,
    0.38077919438031926,
    0.3815409990693448,
    0.35426233555155495,
    0.3558162773060076,
    0.404558199107247,
    0.5024872867253156,
    0.48148368547041737,
    0.42374653746144014,
    0.4195202538410213,
    0.38450882022943544,
    0.3993603341884506,
    0.36379798731192703,
    0.4411054531723837,
    0.47120708269703365,
    0.45049827327823605,
    0.4064772639385106,
    0.4868144116529986,
    0.3930546501347949,
    0.4831283540643292,
    0.4292127826232134,
    0.5174912016636544,
    0.4659585653010494,
    0.4137713446420425,
    0.4425822171355071,
    0.3748137063493814,
    0.38377203083565814,
    0.34179155933335914,
    0.37098873050679426,
    0.4044656159527391,
    0.41190778278964313,
    0.3577731400207647,
    0.37974243914509576,
    0.3932803412817462,
    0.3438371524245949,
    0.37477952872806014,
    0.40798345488067156,
    0.436853096134629,
    0.4623536915945657,
    0.4227697050016753,
    0.41052180199822935,
    0.4687577584599446,
    0.38636023537758846,
    0.4530082539963406,
    0.4433199125531703,
    0.5017082737060394,
    0.4136587511785725,
    0.4796699210442032,
    0.4571186421836523,
    0.5198954371421849,
    0.44902766663326393,
    0.5217834600471503,
    0.4995043402683697,
    0.5654945528277239,
    0.5369576413524874,
    0.4752650262535906,
    0.512291336989797,
    0.44526536340323464,
    0.42216676035201284,
    0.3801266983402862,
    0.41825675665860707,
    0.38010347526669774,
    0.4905849426114196,
    0.43002710532138605,
    0.4574794864777804,
    0.39216110710016616,
    0.39564133054016226,
    0.34836694816014846,
    0.3848722615009773,
    0.4223624753387562,
    0.5024251302406056,
    0.46211586653457054,
    0.44582674647748466,
    0.4289547870829083,
    0.38720348875037586,
    0.3902380723202325,
    0.3932841784450076,
    0.4630903974732457,
    0.4705741287154787,
    0.4358497123453088,
    0.4331482004423766,
    0.5020443938902114,
    0.39626913431696364,
    0.47161292303722224,
    0.46462429801954436,
    0.5441796710266587,
    0.4938486069537811,
    0.41318666995785475,
    0.4745630540262654,
    0.39215099229087813,
    0.4049652364980237,
    0.3417158705159211,
    0.4042623699448376,
    0.43176001809540143,
    0.4280182135145372,
    0.3548715163374778,
    0.4049617501249479,
    0.41166402618055825,
    0.35432177817240473,
    0.370317080806551,
    0.44049030328674266,
    0.4587236886880941,
    0.4666882043825025,
    0.4092138485547942,
    0.43442017426665275,
    0.47903571398214456,
    0.3925928822874805,
    0.4448940106901731,
    0.476503373464906,
    0.5287546259956772,
    0.4124438322309718,
    0.46264442707757275,
    0.4874414594941438,
    0.5369538370994138,
    0.4508047214197043,
    0.5077388078971605,
    0.5404314914104388,
    0.5997781131432424,
    0.46012660923179016,
    0.42088317057364966,
    0.4315031092507466,
    0.38467681655433117,
    0.3507906984425856,
    0.3263931804996634,
    0.35077987185618636,
    0.4036944721907606,
    0.42515439125528354,
    0.3811452760630695,
    0.392001655385543,
    0.43735803632676734,
    0.3309012282380345,
    0.3820905418104219,
    0.40546956369531467,
    0.455812884048391,
    0.43710668446082723,
    0.4320310548385197,
    0.4052793915023269,
    0.49286442112964074,
    0.34331275278261375,
    0.435805121008097,
    0.40663281057696976,
    0.5016748683897236,
    0.420085973431959,
    0.5144436809750575,
    0.48370327849668865,
    0.5868295189398477,
    0.426852776169153,
    0.5326821591067997,
    0.49085489523516695,
    0.6071201976332047,
    0.42883078269390035,
    0.3693659885266982,
    0.40682258101452057,
    0.4329562001203337,
    0.34051325215236183,
    0.37305905081961316,
    0.4283033062833655,
    0.4655996398469042,
    0.37771609503658377,
    0.38636507179082336,
    0.44108147421726224,
    0.4701158265875766,
    0.3797865772649347,
    0.41177498121105405,
    0.4730135486915804,
    0.5032991854932564,
    0.41058477140239413,
    0.4859872498300125,
    0.48539534004688534,
    0.558529155914148,
    0.42518417557013655,
    0.5012292411871808,
    0.5074342665276743,
    0.583439897454246,
    0.47360765462485194,
    0.5578350754337246,
    0.5540363018995599,
    0.6436754905220042,
    0.49601945943143627,
    0.5851204553303753,
    0.5884484307045211,
    0.6866429607936646,
    0.5987289897702186,
    0.5336720079265229,
    0.5414314988232967,
    0.4660744288599265,
    0.5084963165713274,
    0.4582256070596612,
    0.46946443539449645,
    0.4309155940628172,
    0.5319421901150907,
    0.4732513217272365,
    0.46664162802943543,
    0.4002580067840734,
    0.4579211116382888,
    0.41202889372647195,
    0.4238131555828035,
    0.4686004608823018,
    0.4747742870979294,
    0.4383486154635869,
    0.39233853489271503,
    0.38204045076479864,
    0.4059564185422187,
    0.40612302712524856,
    0.37793969876644096,
    0.4404543331767023,
    0.4291653226181083,
    0.4039798665029872,
    0.3646693769495719,
    0.42154287668530105,
    0.3959342444612071,
    0.4651546744170257,
    0.4160440707686336,
    0.47955507124012503,
    0.5360660173378433,
    0.44769976405955064,
    0.48728441459596367,
    0.3967102817898837,
    0.46637331323526166,
    0.3933883525562157,
    0.4406725365277401,
    0.46888171610283297,
    0.45615335336090673,
    0.3799929388950693,
    0.40263647499453087,
    0.41035230034413717,
    0.4023692713796377,
    0.4283166912585792,
    0.47262389538042143,
    0.4936513063855597,
    0.42662467023888406,
    0.37675982167393157,
    0.37518020387874673,
    0.407228461395836,
    0.39949633444862603,
    0.44160687121605774,
    0.4408036229276617,
    0.4748923007030064,
    0.3712244707406602,
    0.41118710807730097,
    0.397309840465301,
    0.42776792730585056,
    0.4413062329844747,
    0.48651359175393877,
    0.47105213766867005,
    0.5024938134098886,
    0.5144669176403598,
    0.4744571165096885,
    0.4540215131445813,
    0.40734619806083144,
    0.4197791727853473,
    0.39632484000587537,
    0.4012167142875836,
    0.462486995161581,
    0.46571199191161966,
    0.42502527291667475,
    0.39502043789604796,
    0.4481989133664067,
    0.38831649623943953,
    0.4576966602620845,
    0.44672962694011237,
    0.5100354663061527,
    0.41714242695418996,
    0.4155666041318033,
    0.35998657019358155,
    0.43469009921017127,
    0.3659926963350382,
    0.4498455418295521,
    0.3920834861116578,
    0.47374238853029565,
    0.3941474457923826,
    0.47932889807515106,
    0.39916133079262944,
    0.4810873799093054,
    0.43151358257473754,
    0.5244496330349752,
    0.4323581415340413,
    0.5218799138571351,
    0.46835632855147563,
    0.40430792322252973,
    0.41636432718562416,
    0.445570029168861,
    0.39055965089557665,
    0.43328213444069585,
    0.4701812972787452,
    0.5110362972942325,
    0.4062087179594941,
    0.42463092047538425,
    0.43722792690827034,
    0.4644459316567058,
    0.43680751727678874,
    0.4798238544721471,
    0.5061657925739005,
    0.5428938544691416,
    0.38625246158374665,
    0.44828575671635496,
    0.4169959673210963,
    0.4711298103066309,
    0.43398194963648434,
    0.4937699866774866,
    0.4693018994917118,
    0.5218944395706145,
    0.43043084443869273,
    0.49757014127670385,
    0.43806344235757005,
    0.49491304276816833,
    0.4871786673679485,
    0.5565999722050904,
    0.4991229430742665,
    0.5570766411888892,
    0.5267968856561527,
    0.46391467005320797,
    0.4846967560365133,
    0.42637324147134986,
    0.4351457808168932,
    0.3958623882437638,
    0.43119297832396397,
    0.4834750626676324,
    0.4726089459415557,
    0.4116244842983106,
    0.4200043307896949,
    0.4612165698985083,
    0.39799106853153854,
    0.4457781258274359,
    0.46815970467449636,
    0.5143875743938009,
    0.4070550471469743,
    0.39045621193623664,
    0.37796131434017444,
    0.4370684790566519,
    0.3656724000731354,
    0.4322221653004807,
    0.41673543683674047,
    0.4832023516556241,
    0.3855173435059048,
    0.449099595919162,
    0.4217039146618228,
    0.4837589532531861,
    0.42560873725845916,
    0.4973201098117256,
    0.4546342393459825,
    0.5199250682406404,
    0.47923090007226604,
    0.39627477509676046,
    0.44176582662175695,
    0.4659103008605991,
    0.4071199854719597,
    0.4356020945232348,
    0.5014178371335802,
    0.5352860687110176,
    0.40913508070978705,
    0.41403412241503246,
    0.46402922316227035,
    0.48108754724746744,
    0.4446937298836425,
    0.4689126475635366,
    0.5305067622244397,
    0.5535871091772082,
    0.3815732441057767,
    0.42123949502755303,
    0.43815906449749054,
    0.4731251949338101,
    0.4357957357350719,
    0.4760837391560917,
    0.49732582540100495,
    0.5314302351030418,
    0.4212236455260392,
    0.46427403719325433,
    0.4662566614527347,
    0.5029981717347769,
    0.48290074048813997,
    0.5287758497613356,
    0.530657045382724,
    0.5604733004663606,
    0.46198809531142715,
    0.4165124653433533,
    0.42063282398733276,
    0.4777216740404287,
    0.37422394643116336,
    0.4371412082222256,
    0.4545051074156612,
    0.5236700016969599,
    0.41834116939903304,
    0.4662904873311609,
    0.4641206743629932,
    0.5222165287135456,
    0.43514061487914174,
    0.4991591800211263,
    0.4995459211404341,
    0.568260815207378,
    0.3778376232150927,
    0.4664121901187316,
    0.41713155400787455,
    0.5055187480640706,
    0.38921739528363913,
    0.4763698015290658,
    0.4292157548042,
    0.5157000562943838,
    0.4437220073088688,
    0.543499723043053,
    0.4650551912886732,
    0.5668091368796542,
    0.4604557726251004,
    0.562774549387815,
    0.46944300463426647,
    0.5661425736867302,
    0.4244437117062308,
    0.44669529329718727,
    0.4919207136122921,
    0.5297264577280163,
    0.44520398940174216,
    0.48448865937778063,
    0.541888385475304,
    0.5923946463144563,
    0.45345963583062426,
    0.48944091989934424,
    0.5199598750515076,
    0.5537406973132859,
    0.4941494017886131,
    0.5325538678731847,
    0.5800363992201064,
    0.6251255389213595,
    0.4378507786585215,
    0.5096165724354571,
    0.4898798649136601,
    0.5579650823461544,
    0.47191469040848016,
    0.5310541743269034,
    0.5310763201038715,
    0.5840156516506365,
    0.4906624906370899,
    0.5767183702091768,
    0.520847354581939,
    0.6038110106241268,
    0.5337331293775015,
    0.6131413306698514,
    0.5673909405335238,
    0.6339396599855913,
    0.5598611082417002,
    0.498839963123604,
    0.5388291754461659,
    0.4622515016112338,
    0.49043860109699966,
    0.4367076086507673,
    0.48266866339330544,
    0.41176236450710985,
    0.5400122248941247,
    0.4751594702537161,
    0.4959566408380563,
    0.423774574271181,
    0.47757656682453603,
    0.41934460970220977,
    0.4455679843870769,
    0.3837849937141583,
    0.545171861547746,
    0.4950182355258644,
    0.47204473602193825,
    0.4197034049737852,
    0.4453956086759709,
    0.41210460912204816,
    0.39877564818327543,
    0.3903366152380221,
    0.5323185816448573,
    0.4741190687651513,
    0.4430466708178905,
    0.40456437134353074,
    0.4420516586713567,
    0.42031788454127983,
    0.4067020063803903,
    0.4665391255773614,
    0.517084033182283,
    0.43307591154373404,
    0.5006989239378773,
    0.40846969823857826,
    0.4722838688085728,
    0.39475123566889486,
    0.458752725336701,
    0.3765490535489032,
    0.4770576228062764,
    0.39079260387045567,
    0.4430131298933553,
    0.3532781798014887,
    0.43505966062337753,
    0.35555586691073865,
    0.4069811650939146,
    0.41563398691125486,
    0.5047710612556039,
    0.43667419304580696,
    0.4419125853047857,
    0.38425478466396223,
    0.4302236639824465,
    0.3870535586011438,
    0.411533485544493,
    0.4482730034087677,
    0.47104025110329995,
    0.39885208971495,
    0.40532907776117466,
    0.43220315469073434,
    0.4140141737869495,
    0.45561552568923536,
    0.4755412144047695,
    0.5101621972882112,
    0.48108312857152435,
    0.44509337903861207,
    0.4484180691013783,
    0.4001570483945677,
    0.39630338925256353,
    0.36669521489423207,
    0.3757442280597356,
    0.342453411539124,
    0.47240640037913134,
    0.42674720276965383,
    0.42398048134047295,
    0.3737105230787993,
    0.3914525900130314,
    0.35423975639589145,
    0.36075673532014924,
    0.407138841071242,
    0.4736726243374817,
    0.4438648430847432,
    0.3994382799566307,
    0.38491804309956373,
    0.3733860206044082,
    0.37523035593624393,
    0.34999291655581455,
    0.4180374693465701,
    0.4673360684282147,
    0.43088136154639767,
    0.3944021870153203,
    0.46328809037357205,
    0.39118110356587604,
    0.4715628699282986,
    0.4280760182324105,
    0.5101786849874838,
    0.4575137464792946,
    0.395396899985975,
    0.4307724958690635,
    0.36125675215215924,
    0.3936799930812486,
    0.33636274033915664,
    0.3738083676749939,
    0.3992918307707295,
    0.43019008811461507,
    0.3602581517070051,
    0.3875644082904671,
    0.39018157982044194,
    0.3658218475003142,
    0.3795844396754797,
    0.42705585990401235,
    0.4464342689208163,
    0.44704869731249414,
    0.39701207813297396,
    0.39294310135276667,
    0.44011872664291213,
    0.38017575952320143,
    0.433796762550456,
    0.4384719101987971,
    0.487228500613809,
    0.42290522320975354,
    0.46829106014335226,
    0.45653646728440844,
    0.5035361095320463,
    0.45956329626113473,
    0.5164738307984851,
    0.5122818987184357,
    0.5653297057951979,
    0.4717458755901175,
    0.41428192483220816,
    0.46376332556447597,
    0.39911753076410883,
    0.39883320812380485,
    0.35069262881267804,
    0.40050727862298946,
    0.35482300758475205,
    0.4562327548901868,
    0.3976134377675298,
    0.4279268211521929,
    0.36533139904394285,
    0.39072729200503253,
    0.3392220470023829,
    0.38020546611503503,
    0.4151090318521252,
    0.4578101795769811,
    0.41581484736532187,
    0.411276631633909,
    0.3860839512497575,
    0.35980470200623654,
    0.355043242878434,
    0.3653342270888728,
    0.42373415353258026,
    0.4468363284313541,
    0.40433131844391185,
    0.4043963293269721,
    0.4626560680607585,
    0.3784555615956339,
    0.44627451414581903,
    0.44426926666153543,
    0.5163246977289415,
    0.45082134060001533,
    0.36958637911739717,
    0.44135330705372,
    0.3586080483639024,
    0.3957187084445991,
    0.32332341108492685,
    0.3959651131569161,
    0.4131219435362151,
    0.41329619306604487,
    0.3330881074057352,
    0.3892904403470657,
    0.38397146269055965,
    0.3624736959079107,
    0.3641212078382324,
    0.44776957483878854,
    0.4561988068266863,
    0.4350783043373374,
    0.3719831950183467,
    0.4054108578765858,
    0.43785579741502273,
    0.3708519952495503,
    0.41271767716275,
    0.4548085938388413,
    0.49357374462808123,
    0.40253803524096654,
    0.43566993962381123,
    0.46689755146531814,
    0.5000573762095765,
    0.44294234246444825,
    0.48761351529950786,
    0.5307814942930226,
    0.5752666239587053,
    0.4141856688182163,
    0.3722121263351407,
    0.39160544962711263,
    0.34513033681252747,
    0.32871433431051333,
    0.29610126779468526,
    0.32683381253268157,
    0.36979905930929,
    0.4032034326060602,
    0.35678748063674953,
    0.3689531165324853,
    0.4065159953045218,
    0.32434476526298733,
    0.3661247309282558,
    0.3947272609356335,
    0.4424003728706373,
    0.4052280324271967,
    0.38802692906303626,
    0.3698777629932849,
    0.44191867945139773,
    0.3227150136447746,
    0.40132435564570096,
    0.3805755011207307,
    0.46171946276632014,
    0.3999731950063051,
    0.4800677332018639,
    0.4521176687029635,
    0.541609336133754,
    0.41395458409881086,
    0.5096748625063905,
    0.4724468279459126,
    0.5813737806569452,
    0.40306529980454747,
    0.3370374853190484,
    0.3824340836210788,
    0.39589571016947706,
    0.33400148246071126,
    0.3485719595690529,
    0.4159369655393786,
    0.43898655352554916,
    0.37381392995128304,
    0.36635842428399934,
    0.42532856257567075,
    0.44301830099368245,
    0.38585028449604464,
    0.40206756532622784,
    0.47756036035871097,
    0.49499625260689367,
    0.3898475274289484,
    0.4452506500924629,
    0.45568169187565094,
    0.5094094510023854,
    0.4110403961780935,
    0.46827493702497275,
    0.4899229204881401,
    0.5456664098682642,
    0.46581087566246715,
    0.5284613038083923,
    0.5336530898048015,
    0.5998267019477871,
    0.4962851594553164,
    0.5648961226614092,
    0.5836987816889562,
    0.6616334653468621,
    0.5624601814409508,
    0.4941962519425493,
    0.5079420703336033,
    0.425752892856946,
    0.5084940344135297,
    0.4460526700167304,
    0.4548333996284023,
    0.4017207611659025,
    0.5223854417419022,
    0.45398355077283864,
    0.45402658312529504,
    0.3779198036840338,
    0.46827624970823284,
    0.4082630093971663,
    0.4219513635007043,
    0.45508035572092015,
    0.44850829731442016,
    0.40813337631813396,
    0.37226962839163646,
    0.34793149521428524,
    0.3922580059936426,
    0.38394068889449606,
    0.35439031107828056,
    0.40167962702361826,
    0.429484026110659,
    0.3916657837007336,
    0.3606538771582091,
    0.402636533924346,
    0.39396821471624077,
    0.4565249826577048,
    0.4086209516136671,
    0.4596818348501472,
    0.516596613287924,
    0.42778699594689185,
    0.46689657488026415,
    0.3734902415073446,
    0.47775745321865953,
    0.3961610580825795,
    0.4364332206766328,
    0.4536503129161275,
    0.45560156733989665,
    0.37134687684587986,
    0.39689108571705994,
    0.39162989709782187,
    0.41801057730937763,
    0.433352912393329,
    0.4798969388567241,
    0.48929841258039863,
    0.41199390198590513,
    0.36055487501164746,
    0.36207780750314994,
    0.38635136139018106,
    0.39208446199912506,
    0.43215549108980844,
    0.4272042965499293,
    0.4516470298364029,
    0.37639297739295163,
    0.40967855045802626,
    0.40112662536541543,
    0.4200610184723342,
    0.44780806123133415,
    0.48781349622169795,
    0.4743039404182096,
    0.4946307825451745,
    0.49642945416568496,
    0.445761965584663,
    0.4272972512878502,
    0.37272956969452614,
    0.41935635127752,
    0.38030142048747234,
    0.3819962130205313,
    0.42703485650397394,
    0.4677754889545079,
    0.4143983094291635,
    0.3856598843140535,
    0.4264680165041675,
    0.39340605469524864,
    0.45097180950914106,
    0.44196121386689924,
    0.4926257455428944,
    0.39738845252864813,
    0.3819974175508655,
    0.33480947347492673,
    0.3902669624713859,
    0.3548834146839669,
    0.42469604119834153,
    0.36840655478259277,
    0.43000771249617964,
    0.39246365678478695,
    0.46332303032774014,
    0.390477002656535,
    0.4533983480742323,
    0.43227402724896485,
    0.5145624923286733,
    0.4260772353474096,
    0.500453180507098,
    0.46446367878711303,
    0.39232706536006307,
    0.40378576131856786,
    0.4215662380519218,
    0.4020090163137797,
    0.43159455384437817,
    0.4636823774840793,
    0.4909553841477839,
    0.4166105439291113,
    0.42017591040368285,
    0.4341783601250846,
    0.44934141780772396,
    0.45131925352403907,
    0.4822969878748211,
    0.512103893966351,
    0.5349932742869407,
    0.37348091227523916,
    0.4248216308410197,
    0.40064153075328884,
    0.438920801314033,
    0.4314314913870459,
    0.48047862461018825,
    0.4569663050540055,
    0.4920867220861243,
    0.4387319997117473,
    0.4917312101354848,
    0.43943940281605726,
    0.4768520985296451,
    0.49881300977308735,
    0.5557543837162459,
    0.5059082446108454,
    0.5461996697438367,
    0.4768392558763484,
    0.4123493733434214,
    0.44137079875606255,
    0.37323496141561613,
    0.418226734369612,
    0.3693088784546653,
    0.4004316660625871,
    0.43467676073745287,
    0.4436882629211023,
    0.3804839038739573,
    0.3903279102210158,
    0.4174284855200692,
    0.390112686702169,
    0.4313539755181724,
    0.4533997684399593,
    0.48723267487686384,
    0.3705283116184745,
    0.3429891364989958,
    0.3412684875291348,
    0.3770931486353553,
    0.34036426729873404,
    0.39378396846455627,
    0.3753547854798779,
    0.4173770100529254,
    0.3642662058020376,
    0.4128131782876814,
    0.39394661101903605,
    0.43095979904520126,
    0.411373222055191,
    0.47325482558863735,
    0.4280181654841332,
    0.46928762165609106,
    0.44671624950726463,
    0.3634978994582923,
    0.4115887352162339,
    0.420466881292695,
    0.4009692504781594,
    0.42209404720226984,
    0.4824523797742457,
    0.5005919004506949,
    0.39263000889692085,
    0.3862625189368987,
    0.4380945797753493,
    0.4404006761683001,
    0.44641869562483,
    0.4634308843713657,
    0.5256098062199328,
    0.5345860173940744,
    0.3541238768798656,
    0.3833034336635094,
    0.40749236997749894,
    0.42297690675439586,
    0.4183737983881537,
    0.45071398817995306,
    0.4662784056893117,
    0.47767584284275383,
    0.4071874757648762,
    0.4362210337107712,
    0.4444534778724438,
    0.45561860828008016,
    0.4773459378911044,
    0.5143144553897554,
    0.5136209095543228,
    0.5147627902131595,
    0.4249942142219667,
    0.37233662095282505,
    0.37786043732840036,
    0.4160507044574226,
    0.355880939628172,
    0.40300658550164553,
    0.41696374951773796,
    0.46343395734084697,
    0.3988621275884064,
    0.4316408613670613,
    0.4311209637714979,
    0.47295061685370743,
    0.4253795121141575,
    0.4788384979428173,
    0.47974645791780207,
    0.5329980609694972,
    0.34513423395900616,
    0.4090635167012826,
    0.37226756851777953,
    0.4281002153976779,
    0.3699043710829646,
    0.43739228800043506,
    0.38978263969779176,
    0.4460915189206772,
    0.42197561688902024,
    0.49816091681605196,
    0.42981481791998855,
    0.4968029744447692,
    0.45063174081619134,
    0.5380792619726806,
    0.44479863477403986,
    0.5118660203083588,
    0.40302878988930746,
    0.410956212254497,
    0.457050619399225,
    0.47758502835872885,
    0.43931529055737073,
    0.4646929642286599,
    0.5181332304121669,
    0.5465527400408727,
    0.4395199811470612,
    0.46156603607177515,
    0.4929931251302387,
    0.5075742714329082,
    0.49582877049401797,
    0.5212377689240669,
    0.5713885711365139,
    0.5969954572952602,
    0.41228176849096954,
    0.4616954366308756,
    0.45463034689139253,
    0.48958800479518266,
    0.4628975500322621,
    0.5016176695798329,
    0.5040862314043594,
    0.5191562735471503,
    0.4780595262074958,
    0.5389001673582267,
    0.49351743930455133,
    0.5357441021541429,
    0.5355004011488591,
    0.5942964079087413,
    0.5549303809695149,
    0.5751025882191418,
    0.5267910181436167,
    0.472779284899932,
    0.49959868191640894,
    0.4325611720081529,
    0.4173272290860669,
    0.3768014112396545,
    0.4111249263051775,
    0.36815247392046085,
    0.48216370217679366,
    0.4258857391669928,
    0.44123936506509676,
    0.37734245184028364,
    0.39152102328904176,
    0.3459565135958479,
    0.37538575923787565,
    0.4056665582036048,
    0.5079922670674365,
    0.4645218011260832,
    0.43630643205024305,
    0.41573833502470847,
    0.3893927393075314,
    0.3885148735212056,
    0.38383411674529383,
    0.4424686284538153,
    0.47437775667108173,
    0.433913303316099,
    0.4138126964675552,
    0.469692297775717,
    0.3979645724156151,
    0.464621303352885,
    0.4414701700832536,
    0.503297970889108,
    0.4859461836913322,
    0.40856820857805115,
    0.4613302978541768,
    0.3775833507857095,
    0.4011760777179981,
    0.33784326472261494,
    0.3972736277924619,
    0.4152991473887955,
    0.42175747618004167,
    0.3474799314547116,
    0.3906546701310814,
    0.3923413171703024,
    0.35181425198666233,
    0.3662434415275421,
    0.42940866446347997,
    0.4361131376540101,
    0.46949881672421356,
    0.411440842275706,
    0.4232027496670296,
    0.46199652055759943,
    0.3953043925171768,
    0.4438948347578154,
    0.46186130419860494,
    0.5028185828112929,
    0.4156479229620255,
    0.45732111159202427,
    0.46363132437593113,
    0.49806227224561733,
    0.4516801329522638,
    0.4991010990226141,
    0.5110347680518932,
    0.5492421646226611,
    0.4480831538874476,
    0.41591781553532786,
    0.41089115105479584,
    0.36931126149661353,
    0.34117431644291163,
    0.3184924873860161,
    0.33324416286945896,
    0.3761200695484098,
    0.4125781099204671,
    0.37249171558269034,
    0.36518912872908194,
    0.4106931085413668,
    0.3216997378597548,
    0.36927488012536586,
    0.37560568547244,
    0.41388754700738317,
    0.43721467251918644,
    0.42527707671580456,
    0.3885796423000899,
    0.46429720906416444,
    0.3466690748049637,
    0.42578977771146426,
    0.38952435313496625,
    0.4641711133765532,
    0.4197783300379439,
    0.49985590596627255,
    0.4496154178053005,
    0.5313434041324141,
    0.4273657456972076,
    0.5123263087777955,
    0.4533723793442218,
    0.5363781448661388,
    0.4216018639331179,
    0.3656660946944208,
    0.38972691931929265,
    0.4161855994545037,
    0.33260376004026504,
    0.36420982005817376,
    0.4068641282861878,
    0.4310475061774412,
    0.3689714486924146,
    0.37823463808177,
    0.41370995688308426,
    0.43833453734880884,
    0.3705474317035632,
    0.39457358895710315,
    0.43779752613369716,
    0.4503242528692331,
    0.4134478076800429,
    0.48003847576919617,
    0.46600315698773803,
    0.5285252386295901,
    0.4284082741791225,
    0.49167871241212885,
    0.4834463391786356,
    0.5387478556028437,
    0.4725514163143992,
    0.5389045544475449,
    0.514583346005811,
    0.5789473432185991,
    0.4945319999393887,
    0.5603743089588854,
    0.5394940833930473,
    0.5980204617017628,
    0.4447257531367018,
    0.39233934215820715,
    0.4295193926954854,
    0.3761345029223038,
    0.34471540067400086,
    0.3106216885793513,
    0.36222132480716923,
    0.3996604187275592,
    0.4100402712310457,
    0.35542687831343905,
    0.38078634356791036,
    0.4166645188083507,
    0.3253986620934237,
    0.361385208309462,
    0.40699265311252575,
    0.43878349234098823,
    0.4290235503682959,
    0.40472756976983454,
    0.4094767416810974,
    0.4717597694263668,
    0.3415028069443859,
    0.41116530235429655,
    0.4164890739901105,
    0.48627597306688863,
    0.41495717986735775,
    0.4792014833020445,
    0.47607338096358365,
    0.5456808178297325,
    0.4209055667699321,
    0.4963591838530407,
    0.4874745062906532,
    0.5681745249480991,
    0.4194944138206586,
    0.34522320454210387,
    0.40310566605041687,
    0.42097662993055296,
    0.33858295240563735,
    0.35831997169380875,
    0.44000775445650286,
    0.4598179173718464,
    0.36421654384551294,
    0.35960619370893243,
    0.43314799827808487,
    0.4429859227392103,
    0.3751190441464952,
    0.386636333374435,
    0.475306221048437,
    0.48157898708216823,
    0.41000136971513057,
    0.45574300488743397,
    0.487102731229393,
    0.5308040808454453,
    0.42536037400240145,
    0.4774514446507782,
    0.5148553723663786,
    0.5663111703299417,
    0.46548308858562265,
    0.5113597069750876,
    0.543686053718273,
    0.5913845707546966,
    0.48620986680961464,
    0.541387304512798,
    0.5818503405343719,
    0.6416243293567824,
    0.3861668082113949,
    0.3467767166538907,
    0.3629075241679043,
    0.4125218319918154,
    0.2911258117520538,
    0.33501486526404545,
    0.3649689455189034,
    0.41009600435396487,
    0.3553131757208365,
    0.38860033484904133,
    0.4126904909115455,
    0.46026737824214625,
    0.3459968479968145,
    0.38626908100630286,
    0.413391219181221,
    0.4518896889391797,
    0.3848044747178419,
    0.4706091190554395,
    0.44316814475934874,
    0.5341506856343009,
    0.3637973086064205,
    0.4534079605466872,
    0.4232670693550343,
    0.5170340578832332,
    0.46571132473861593,
    0.5601479679487824,
    0.5242986600314439,
    0.6348045779248553,
    0.45277943596049447,
    0.5564334634083234,
    0.5072997651129747,
    0.6265624482958159,
    0.36856168298803593,
    0.38078754313411356,
    0.44050426594222253,
    0.47122688531806045,
    0.36602548403283414,
    0.38890122285122536,
    0.4564989672556547,
    0.4813187201255888,
    0.393652921495404,
    0.4148751213639551,
    0.47861951071666414,
    0.5012659329669551,
    0.4047641648113074,
    0.4184267723351849,
    0.4956074078282682,
    0.5060627231507945,
    0.4640748625715546,
    0.5380316941205583,
    0.5413210840438748,
    0.6183363729819465,
    0.4623658060276079,
    0.5339147099747469,
    0.5456634427701852,
    0.6193141050699645,
    0.5337187419550191,
    0.6161655129641866,
    0.617166345582333,
    0.7162874540183017,
    0.5383130051400287,
    0.6233295948520652,
    0.6334048259943544,
    0.7400389496467045,
    0.5206403262823567,
    0.4608103462230214,
    0.46332864768706333,
    0.40191709962876015,
    0.433815078063978,
    0.39526401739349504,
    0.4158648511370695,
    0.4522719505455603,
    0.4637439815290502,
    0.4044196311200441,
    0.4048718600199457,
    0.43681208803365335,
    0.39039686207645513,
    0.43840985629006796,
    0.45407662244885955,
    0.485739168502567,
    0.41986797564280287,
    0.40260571180192656,
    0.37150565353507153,
    0.4225268263776513,
    0.37562198209011377,
    0.44247004887999886,
    0.4030087656956998,
    0.45848868370398854,
    0.3942398416373308,
    0.454733728489064,
    0.41045683461748467,
    0.46087323682631065,
    0.42842312771814417,
    0.49741459346264627,
    0.4370561803398178,
    0.4893343896369339,
    0.4781123267923408,
    0.39531081582598304,
    0.4256135033322712,
    0.43978027648399776,
    0.41134406588926403,
    0.4394471987828336,
    0.48585446233898477,
    0.5034725346352622,
    0.40285217434893256,
    0.40748636269026206,
    0.4478416176315613,
    0.4526597106896628,
    0.44009565977923837,
    0.4623069820653003,
    0.51516500026597,
    0.5212622092554777,
    0.3950914831320375,
    0.4367582682028041,
    0.4287093587224816,
    0.4579070086751104,
    0.44765159366227897,
    0.49268083374373856,
    0.479134661823164,
    0.5058944374531892,
    0.42974424095349023,
    0.4688656817545549,
    0.4513004261553793,
    0.47459035696762075,
    0.4838049663238332,
    0.5286001395410204,
    0.5050810965701138,
    0.5214979436703567,
    0.45278449852865554,
    0.4099300876862394,
    0.394127461891865,
    0.44357258898368945,
    0.3700503345720667,
    0.4284909177327556,
    0.4259047610282736,
    0.4746680942785034,
    0.4050973111319414,
    0.455172543868103,
    0.43299733804168156,
    0.48244095194822656,
    0.42155794085720555,
    0.47959512505388907,
    0.46663530491873456,
    0.5134111190700502,
    0.3854672556918006,
    0.46742224157954465,
    0.3991198293427207,
    0.4725253899795723,
    0.4030359401758147,
    0.48533355731680605,
    0.411701891572132,
    0.4835788727006117,
    0.4481204448206549,
    0.5348595854925794,
    0.43907054199406415,
    0.5191051327076545,
    0.4676288268394952,
    0.5571615856395897,
    0.4452628269456144,
    0.5191787896150922,
    0.4214065286592791,
    0.44697907873771436,
    0.46609874475972213,
    0.49532797691143526,
    0.4448358016577999,
    0.4802720265475597,
    0.5099181719000716,
    0.5384522367719539,
    0.4436040767183449,
    0.4774880753016255,
    0.4878985917319683,
    0.5094079638175956,
    0.47999169163910343,
    0.5107516164930544,
    0.5400621447655719,
    0.5585126736386244,
    0.44963132872885714,
    0.5159839367656406,
    0.4708992185175519,
    0.5257455390036504,
    0.4884165056167566,
    0.5485050571644525,
    0.5066574402566736,
    0.5489511847130341,
    0.4962716122885062,
    0.5658571538020434,
    0.492513059216482,
    0.5479061383256627,
    0.5378386759668285,
    0.6048310028183634,
    0.5300140485479795,
    0.5677626571662047,
    0.44163593217482494,
    0.3853506835471239,
    0.412805932748646,
    0.45046678887450065,
    0.3721275821253009,
    0.4190570935259907,
    0.4505149899680477,
    0.49296661971768785,
    0.3949992442944928,
    0.43036549344769104,
    0.4507873014539736,
    0.4842213797140391,
    0.4176394731237017,
    0.4610113475163948,
    0.48454184017995616,
    0.51884462967625,
    0.3684430419482499,
    0.4264663261773461,
    0.41150262370469004,
    0.46304335564928917,
    0.3882136238339448,
    0.4562916571277847,
    0.42471046354599085,
    0.48218989386760214,
    0.4250542057388074,
    0.4858784168667784,
    0.45384139584857014,
    0.505824267242363,
    0.4429988072655889,
    0.5165891405389539,
    0.4524476830785486,
    0.4984630277542479,
    0.41002610726657995,
    0.42215643539771663,
    0.482278148354636,
    0.49934828573098183,
    0.4487534780470388,
    0.4732413036291161,
    0.5379582654717012,
    0.5624787040799931,
    0.4325229022374986,
    0.44760245290644146,
    0.504544078579358,
    0.5106461137902678,
    0.4768666611293959,
    0.4939653494238348,
    0.56457548703176,
    0.5733948249090739,
    0.43132717718062147,
    0.4682865194187186,
    0.4832841394146757,
    0.5093948021972604,
    0.4754688369258547,
    0.5191933510038671,
    0.5243205023216768,
    0.546039233939251,
    0.46947473099148607,
    0.5082751400077963,
    0.5100307368054432,
    0.5331544278695748,
    0.5144257551733393,
    0.5628718345918309,
    0.5486297509763721,
    0.5471419118021092,
    0.388241069877924,
    0.4416996662392678,
    0.446384005752437,
    0.4977874704497306,
    0.40080933027754484,
    0.45713397480852375,
    0.4668134105012126,
    0.5227148614511412,
    0.44251143198921206,
    0.4968269560007534,
    0.48935418387359686,
    0.5414432440494009,
    0.45497096175347235,
    0.5100009869799984,
    0.5064392212242554,
    0.5584392658492086,
    0.41736257657043446,
    0.5026285891105312,
    0.4451702206669005,
    0.5250191878620522,
    0.414902666497326,
    0.4983598730501245,
    0.4321307022918502,
    0.5007896342408253,
    0.48669970502228654,
    0.5855830065573218,
    0.49332623181215374,
    0.5882314955711875,
    0.4842436719771163,
    0.5847088608799991,
    0.4578965831840646,
    0.5204342605620035,
    0.4598007774835807,
    0.49196040785098427,
    0.533365413789052,
    0.5660021480985198,
    0.49085031364909704,
    0.5224639359671465,
    0.5758993933749487,
    0.6142944469111921,
    0.4996009496769445,
    0.5296733926507069,
    0.5613773645342782,
    0.5871846073782313,
    0.5293490348280261,
    0.5565598384072772,
    0.6103580589055176,
    0.63852746916341,
    0.4942851526971429,
    0.5645532141182182,
    0.5380101602965565,
    0.5986767284656471,
    0.5218155869990461,
    0.5781584917185492,
    0.56297496210696,
    0.5909013173467796,
    0.5492120869553447,
    0.6368919249387038,
    0.5713417911035719,
    0.651338757999148,
    0.5809026938732094,
    0.6621874202837644,
    0.5906488918542601,
    0.6042556510201128,
    0.5595701429854082,
    0.5376205775365808,
    0.5926091206999108,
    0.5258675079976768,
    0.5181960459441812,
    0.48459172697608116,
    0.5419550745298874,
    0.4794702384554234,
    0.5506989973283196,
    0.5124460583749408,
    0.5457899839084676,
    0.48393064422672155,
    0.5099422895930846,
    0.46729126354681855,
    0.49978167750516184,
    0.439200135633152,
    0.605438122607517,
    0.5636997970028925,
    0.5428283908991985,
    0.4973056418588794,
    0.5314896461245391,
    0.4987983500008047,
    0.49221481365319475,
    0.4515900143650424,
    0.5814230662346269,
    0.533132313578205,
    0.5101185871331739,
    0.46370117266762617,
    0.5169657629684398,
    0.4784994589924207,
    0.46057831764653023,
    0.43382553858082157,
    0.5150860977126834,
    0.45333787244317825,
    0.5475414172680434,
    0.4589124957043641,
    0.4960227142907987,
    0.43413128602567164,
    0.5135971459159426,
    0.43453747517691294,
    0.4862425873698009,
    0.4148422753666647,
    0.4827773614926012,
    0.3983126199455307,
    0.46271814385767507,
    0.39537962882678673,
    0.45338596417624866,
    0.3757272588620579,
    0.5483595888285454,
    0.4862681392258656,
    0.504159176287752,
    0.43683714788526273,
    0.5007025942547219,
    0.44439056034762275,
    0.46699483137323333,
    0.41606274018604017,
    0.5107218744808354,
    0.44561832551950326,
    0.45408584911916605,
    0.38673161765287295,
    0.4651544997781574,
    0.4073433984547219,
    0.4254351985156396,
    0.4690786409677745,
    0.5161616922457122,
    0.5026780936975692,
    0.5244063614615289,
    0.4746242349040737,
    0.4561170115107578,
    0.44158680349460644,
    0.4562739516890138,
    0.4173859619653434,
    0.5151820632702891,
    0.48275161950612144,
    0.49595267702941354,
    0.44509268931896556,
    0.4542151610382828,
    0.42726810094452167,
    0.4295813222101458,
    0.38781201684477906,
    0.554284110928237,
    0.5329921695181198,
    0.48836415529390964,
    0.4573757925999488,
    0.4698891339773064,
    0.4568192891873813,
    0.4209411627783217,
    0.4157594154908321,
    0.5387515371416096,
    0.5059454810863722,
    0.46409639475593395,
    0.4289090325443228,
    0.4595220708123268,
    0.4390769540417936,
    0.4099159287809514,
    0.49520875388276736,
    0.4813186764730137,
    0.43481092459889625,
    0.49235864521140665,
    0.421153700770954,
    0.44495699039579817,
    0.4027237679351803,
    0.44262055766524555,
    0.3839244822216713,
    0.46221351190221444,
    0.4025481837254273,
    0.4422952651501971,
    0.3714829459897312,
    0.41956536738381095,
    0.36854628163742403,
    0.39433528429517223,
    0.41157141876338843,
    0.5091886241607652,
    0.46764687079489453,
    0.45771383200721405,
    0.40588609676741577,
    0.4501694986268775,
    0.41283959255653324,
    0.4164434277558686,
    0.4789224060840316,
    0.4805379379195242,
    0.4315311016251798,
    0.4152284945529913,
    0.45624563299881277,
    0.4201610934022184,
    0.48206204621459275,
    0.47693091323145154,
    0.5417580248749784,
    0.5208953864138597,
    0.4699090199153775,
    0.5454315977239119,
    0.47699287537199336,
    0.46404823935818496,
    0.4131101901359757,
    0.4891139975966582,
    0.42485554613890164,
    0.5058104647316225,
    0.4511521393960539,
    0.5094518584128108,
    0.4413183160142913,
    0.4567039880353185,
    0.4005685235039752,
    0.45730744842997995,
    0.3901562839868409,
    0.5283063181752399,
    0.49273595072581067,
    0.49254161284684483,
    0.44741200167229606,
    0.45528708127035256,
    0.4251585791127126,
    0.43563340856165494,
    0.41766051528147546,
    0.5094051900049883,
    0.4676363645141752,
    0.466395117696757,
    0.4220245599697327,
    0.44642376085992624,
    0.41370353466318543,
    0.43184461785788164,
    0.5012216861173744,
    0.49049438986073335,
    0.4126383256043746,
    0.5141658656684795,
    0.4263320378940415,
    0.45083513889506294,
    0.37779232188279666,
    0.4703489829393267,
    0.3904105320384791,
    0.4547718991735925,
    0.3768960103993988,
    0.4578873682724086,
    0.3712771495774854,
    0.41731506621233105,
    0.3433215729552423,
    0.418367382326475,
    0.41811194988530065,
    0.4941699471526195,
    0.43648648925763983,
    0.46602937246020315,
    0.39906027220598134,
    0.43734288442835023,
    0.3830987443494662,
    0.43245315461342165,
    0.47941459331842523,
    0.45765285724615645,
    0.39854109935523047,
    0.4207478236342511,
    0.45262422618194764,
    0.40603070366126504,
    0.44875865114254454,
    0.5022822157459079,
    0.5484927356293912,
    0.4850320948618359,
    0.45018270125665155,
    0.4875553664640158,
    0.43534330028930196,
    0.4130555292035371,
    0.3830085127713534,
    0.41532605397965916,
    0.3723317104453795,
    0.47352853618046176,
    0.4307420511028368,
    0.46288199098182314,
    0.40778092179411046,
    0.40691015645723466,
    0.3688661983467352,
    0.3935173654435715,
    0.4362383579250624,
    0.4979270502186943,
    0.4824642694508294,
    0.4495771448229153,
    0.42962996958852445,
    0.40875809447938494,
    0.4100964739935882,
    0.39416946918189333,
    0.4841526251845942,
    0.48003568984434913,
    0.45534705551025956,
    0.4291157713500457,
    0.5181230579368562,
    0.4009279626182525,
    0.5016169722615229,
    0.47980990923195416,
    0.5866990150638643,
    0.46025408163538356,
    0.4001787077419481,
    0.46429579371948093,
    0.3926443885237671,
    0.40786496760817087,
    0.35487207318945685,
    0.4073283439330255,
    0.43361774308708273,
    0.43192846293997694,
    0.3673923999633166,
    0.4190406571671892,
    0.4122133815197519,
    0.3790054527077018,
    0.38525651090779023,
    0.45314097905671497,
    0.48310149804343105,
    0.46777204647073195,
    0.4313780876597065,
    0.4272090618239769,
    0.48895128974468627,
    0.39741804603023095,
    0.47512824064565484,
    0.4880300820834944,
    0.5658443103874816,
    0.43586319266328777,
    0.4874419456466833,
    0.49272280390955575,
    0.5639861074905232,
    0.46946384748732406,
    0.5566977175991183,
    0.5678714798592576,
    0.6555475817103271,
    0.5489987326006693,
    0.5101702536180505,
    0.5215435597325397,
    0.46343917266630824,
    0.5293144708812187,
    0.48255872156261165,
    0.49649638947949765,
    0.4395176924575213,
    0.5102378130038067,
    0.46892287990206855,
    0.4660272682582507,
    0.41139415729284917,
    0.4925348506302794,
    0.4458818796287096,
    0.44681781181922814,
    0.390984133627123,
    0.4594138314645941,
    0.43929080812574955,
    0.39617222584131034,
    0.3706620760310213,
    0.43104617043954063,
    0.4033859015975601,
    0.3664956770427238,
    0.36060906666265136,
    0.43955104403608014,
    0.41056037372602394,
    0.36616293196486294,
    0.340580224663381,
    0.4092802891369098,
    0.3841659370557827,
    0.3536085011801033,
    0.41575270477043835,
    0.49831123855895026,
    0.4272193925363533,
    0.4788365704477725,
    0.399665484708726,
    0.49151852568003135,
    0.4210858079424244,
    0.4623844041143076,
    0.38984036256384746,
    0.44190616826187773,
    0.3732315552198226,
    0.40378281745998773,
    0.3294851566739246,
    0.4371590477384964,
    0.3694352646637647,
    0.39724192530714825,
    0.4123943862965109,
    0.41571179877743003,
    0.37306416925201585,
    0.36589257055440494,
    0.31999163576942014,
    0.4022784331458945,
    0.3545178531118741,
    0.36029253032206693,
    0.4002096850995272,
    0.3804850843144868,
    0.33273003685326025,
    0.31809736600575034,
    0.3468114091871611,
    0.3641253610857054,
    0.40322953462407385,
    0.40270570380762066,
    0.43941888977991855,
    0.520249512377116,
    0.485777699786916,
    0.4754662881307589,
    0.4271789661147097,
    0.46743264710442906,
    0.43779521983304875,
    0.42994364835628274,
    0.3899175195334327,
    0.4890442888299575,
    0.4505366909581155,
    0.42858622510806305,
    0.38145625876680184,
    0.4420450550426387,
    0.4087532128279433,
    0.38983910254571735,
    0.4482541176619723,
    0.441638521721412,
    0.43030354047977387,
    0.36652023501573033,
    0.3563455861171012,
    0.3854790040337907,
    0.383053251806061,
    0.33747739331356696,
    0.4133605127801194,
    0.4218642000999044,
    0.4009897646248365,
    0.33846480497143544,
    0.4096955130956414,
    0.37222627376384,
    0.4564677860618483,
    0.39143984790256664,
    0.47702596388202406,
    0.4764777765428255,
    0.4165485610139155,
    0.4418958159459173,
    0.3745112328465081,
    0.4424990064342228,
    0.3890555095078583,
    0.40797366869454454,
    0.4450976035353999,
    0.42828259379161204,
    0.3685919124787379,
    0.37313614895387315,
    0.3711471768057263,
    0.3987427852551698,
    0.4182237116084226,
    0.4415546240524279,
    0.47954912884229633,
    0.4031080045389556,
    0.3707501793333929,
    0.3400840839198679,
    0.3922860437121775,
    0.36787330558559606,
    0.42739272416862356,
    0.40866668493531083,
    0.46697838350776505,
    0.36927884945048867,
    0.4117906269636142,
    0.3724518474445563,
    0.42127457246609495,
    0.4249508158996496,
    0.48980624017309105,
    0.45080682893765206,
    0.5123104263248265,
    0.4954229310320147,
    0.4451150991738249,
    0.483507480616978,
    0.4231238794008149,
    0.4588903898646253,
    0.4052512982905785,
    0.4418167060878012,
    0.3867031546487711,
    0.4640027921668282,
    0.41272574714491544,
    0.43331421176836565,
    0.373812436377529,
    0.43347421184282314,
    0.37791369210635184,
    0.3994274971023878,
    0.4387125909019203,
    0.4061524860450377,
    0.3839349868144068,
    0.3651123262530759,
    0.3440183297882132,
    0.3660357915162955,
    0.3500791582978343,
    0.34396872027054065,
    0.40096038017339913,
    0.38957527484240745,
    0.3603131771608016,
    0.34253156231142856,
    0.398568936019269,
    0.35986505023496956,
    0.4208775978840434,
    0.405416921137875,
    0.4646375574626738,
    0.45670537991855453,
    0.3833411274785509,
    0.44875725316450127,
    0.371476939508752,
    0.4319809931980686,
    0.3601429719147345,
    0.4162308787720151,
    0.4403077662983063,
    0.4066371603596406,
    0.33645614585396955,
    0.3791744430911609,
    0.36956062166857523,
    0.38646963277013335,
    0.3863462944776546,
    0.4536009162419679,
    0.47175777163601895,
    0.375123742695474,
    0.3325406329991695,
    0.34263135214646157,
    0.3808340147566455,
    0.35412380851693726,
    0.3901828749129527,
    0.4171802326215782,
    0.4517362184668492,
    0.34262863676587396,
    0.3707245617624913,
    0.38159363986135847,
    0.4145145741896636,
    0.41022363754319513,
    0.44673832663884777,
    0.47045980269989607,
    0.5010185436279903,
    0.47160193422730756,
    0.43136809209382165,
    0.44110787274039753,
    0.3918637431757764,
    0.4078479515946669,
    0.37262375977736256,
    0.3856637130406508,
    0.44309703441080195,
    0.4432991152241827,
    0.40002849453303885,
    0.3958615525324879,
    0.42780913677295507,
    0.3876968958751537,
    0.4321285147701122,
    0.4482700154248728,
    0.5075910013479192,
    0.39672969314056794,
    0.3897263250346623,
    0.34841067701708245,
    0.4299942312259037,
    0.3424515094703256,
    0.4283532519844452,
    0.38440923169624364,
    0.4709550149074505,
    0.37741076785687466,
    0.46315920121694737,
    0.4056198139894385,
    0.4948478468068646,
    0.4133898816133776,
    0.5126051076870264,
    0.4479834427451168,
    0.548738216350547,
    0.43760324866501854,
    0.37688689420370713,
    0.412937062020278,
    0.42436168491978765,
    0.3903876550774481,
    0.41427343582246234,
    0.46817881169546166,
    0.5147739825314929,
    0.39297292432049286,
    0.38939970241815963,
    0.42220807736403293,
    0.44642337000658,
    0.42964862725533004,
    0.4684671013566904,
    0.5169697983982787,
    0.5560620973571879,
    0.3678763309592178,
    0.43290530619721196,
    0.4137944707359336,
    0.48252530194430565,
    0.41665358554862414,
    0.48496738885889257,
    0.47599337400470093,
    0.5437825471992161,
    0.4174269366312563,
    0.4965423849865147,
    0.45451809781115055,
    0.5252243235780506,
    0.4809274369141457,
    0.5612920068475398,
    0.5313780270263129,
    0.6102512920959771,
    0.5458490635591103,
    0.5124421071446387,
    0.5495102947293575,
    0.48891579581617517,
    0.4508021404087026,
    0.4246044028502656,
    0.46759235828426843,
    0.41571198972493445,
    0.49365915411903233,
    0.45911177273894793,
    0.4791018055656049,
    0.42628650735922224,
    0.42340124813657437,
    0.3912099330880562,
    0.4097321287704055,
    0.3604606668651123,
    0.570277114817691,
    0.5296456149486973,
    0.5035567907271913,
    0.46028332319771204,
    0.4684267096229195,
    0.4413818942974795,
    0.4298810312157023,
    0.4199217490609301,
    0.5158924209305005,
    0.4753894706765593,
    0.44573159548778823,
    0.410392086764697,
    0.4371978916559957,
    0.41433139485914766,
    0.4027300469729385,
    0.4721816701916097,
    0.5030858970236435,
    0.43427431144543027,
    0.5104429230241886,
    0.4255783643869121,
    0.4283801668741122,
    0.3753947422415921,
    0.43746084120322715,
    0.369240742729211,
    0.4339329214712048,
    0.36993622057702163,
    0.4244164656200343,
    0.3504934353793205,
    0.3774840905614102,
    0.3241847224698403,
    0.36652026589941467,
    0.38148289710391886,
    0.521104135512316,
    0.45767340547861574,
    0.468085770684646,
    0.4040107675578048,
    0.4395856675618541,
    0.39309488919366586,
    0.42084992405073623,
    0.46861164829365637,
    0.4490352805001723,
    0.392455048573262,
    0.39325625910266965,
    0.4296451804615384,
    0.3863685700668345,
    0.43880820098651546,
    0.45572035571712766,
    0.5042801851101922,
    0.48311572072919523,
    0.4657999115315446,
    0.47949349231219673,
    0.4337939571679758,
    0.3926459513688817,
    0.3806784342355291,
    0.38927357532473844,
    0.35462127913021874,
    0.44691874876733007,
    0.4212941956924752,
    0.42648417465833355,
    0.3832063104750424,
    0.3719499342948441,
    0.35077088383659155,
    0.3454589669252511,
    0.39589643371113065,
    0.5139480769447865,
    0.4928467350220754,
    0.4509467671226281,
    0.43158265721607364,
    0.40839492870179384,
    0.4098042960645632,
    0.385956216220267,
    0.46817866675583775,
    0.47264318995972865,
    0.4461857606568373,
    0.4091220900697141,
    0.4907829213432282,
    0.3922405036185683,
    0.48594337318583886,
    0.44204480006854596,
    0.535579812793722,
    0.450232710363411,
    0.4037345802641993,
    0.45023795998542976,
    0.3839639212343489,
    0.37707112238972584,
    0.34138699651986876,
    0.3705525594800015,
    0.403751849845445,
    0.39831053787715337,
    0.3491525985432352,
    0.3792617238640776,
    0.3838429735555075,
    0.3361026515192297,
    0.36025633380783906,
    0.3918811665617138,
    0.42593702429627955,
    0.4746309971842432,
    0.4332065929298629,
    0.4236317067070759,
    0.4845915734628433,
    0.3920186376666622,
    0.466759643550476,
    0.4654730125756808,
    0.5332461204973422,
    0.4180217605991358,
    0.46922307792326046,
    0.4599533456935983,
    0.5244279595562736,
    0.4466484539833757,
    0.5288691767795006,
    0.5088097039704425,
    0.5837008480872072,
    0.5056401495316852,
    0.4539899293441811,
    0.5085359874822485,
    0.4464345064604592,
    0.4108465494311717,
    0.36945648233226097,
    0.42746723108688334,
    0.37691309857667893,
    0.4561390308782133,
    0.40711390215627213,
    0.4479930921819147,
    0.3884383350423152,
    0.38093886063064875,
    0.33612544943758393,
    0.3755094521528485,
    0.41224298894020256,
    0.5049992831629243,
    0.4682399305892126,
    0.46055974141329503,
    0.43183953361854166,
    0.4054407376155932,
    0.3946527093018958,
    0.4116946453209799,
    0.4843933676988869,
    0.4601304451344902,
    0.4217760553445814,
    0.42288535880394695,
    0.49226236328384104,
    0.3895291869102094,
    0.4649591214498276,
    0.4736842867173385,
    0.553249652816534,
    0.47216375466554295,
    0.3948618282254127,
    0.4774572381753084,
    0.3949165414204659,
    0.3931571342749852,
    0.33107356937119514,
    0.4035236641734117,
    0.42811515306350073,
    0.40464965142349724,
    0.335406113159365,
    0.40045950989905427,
    0.3952174297528286,
    0.3403048809192492,
    0.34337508663058197,
    0.4280037398896964,
    0.4452698856216713,
    0.47109018163253674,
    0.41199577210943417,
    0.4382351513886775,
    0.4839765451790488,
    0.3914325039045232,
    0.44614423609930176,
    0.49345004354615063,
    0.5499184632919413,
    0.4069683896926442,
    0.441741251149292,
    0.47817373878258623,
    0.5254110344720103,
    0.43938883401002665,
    0.4974212514667799,
    0.5443917107416346,
    0.6040934733799416,
    0.45661617696255175,
    0.4211924173392117,
    0.4495235418611383,
    0.4004471620051599,
    0.36237748493583655,
    0.3351423973554068,
    0.3621502305019776,
    0.41517871516197596,
    0.41677958882029087,
    0.37893189773957026,
    0.401857930186876,
    0.4365880748420939,
    0.3364177946811151,
    0.3774488115620846,
    0.4112675490277349,
    0.4616253253184417,
    0.46388373475627687,
    0.44659730959994887,
    0.42815726420772804,
    0.5220459223088153,
    0.367471109912757,
    0.4688564130431981,
    0.4458368463827413,
    0.5503184622960657,
    0.42557946030269866,
    0.5187163129847118,
    0.4974969244274795,
    0.6054520941369124,
    0.44159649283050106,
    0.5572656616938036,
    0.5218862804682265,
    0.6467133056459968,
    0.4290779234284854,
    0.37130140947561874,
    0.4248596873963666,
    0.4390008842280323,
    0.3491226402991732,
    0.3739967540699521,
    0.43892459361542313,
    0.47958460330754965,
    0.37475994984936506,
    0.37312231031349824,
    0.4392351841548705,
    0.46878183988376426,
    0.3717524440799263,
    0.4087587070913743,
    0.4751791092742035,
    0.5074663371771664,
    0.4346356392192334,
    0.5053565158552055,
    0.5130711053564834,
    0.5960827856765787,
    0.4484394755948505,
    0.5425315441407685,
    0.5480845524384037,
    0.6438582282821685,
    0.475036210921432,
    0.5683507101473659,
    0.569544839083109,
    0.6659423326436237,
    0.5097759582979156,
    0.6185844569356728,
    0.6164181343893584,
    0.7324044293950307,
    0.5297834714097761,
    0.4859958876144525,
    0.48701198671993723,
    0.43114577751093114,
    0.45781454398876315,
    0.4200932286996591,
    0.4307954665698301,
    0.38974567369645424,
    0.4596065089395458,
    0.4209498423165455,
    0.4127596266717206,
    0.3628134924534689,
    0.40393696478306007,
    0.36709757064023124,
    0.37135479132633115,
    0.41775988655894164,
    0.44734587902674694,
    0.420953743150285,
    0.3722630967856265,
    0.3587477982354128,
    0.38168242079426035,
    0.37439993811907457,
    0.3479875808336771,
    0.4129624313755186,
    0.3893656154235857,
    0.36241490394904274,
    0.3262988395662693,
    0.3851769901614667,
    0.34925513951230935,
    0.41495652938402466,
    0.375919062234958,
    0.43924616219222457,
    0.4824715394500722,
    0.40548130371751456,
    0.4460515579197335,
    0.3664521107365153,
    0.42278972506316653,
    0.3586062924303023,
    0.39574210570295254,
    0.4250732851932821,
    0.39787276310065345,
    0.3335188116198812,
    0.35808595652422054,
    0.35469599686965914,
    0.3556652604133039,
    0.3692575449123702,
    0.414027216284814,
    0.43569181102175025,
    0.4029865587701584,
    0.35194369351053795,
    0.34503061263259105,
    0.38025399762350826,
    0.36135967819802217,
    0.4017872956543402,
    0.4052363473609821,
    0.44262886796907175,
    0.3329434680906253,
    0.363694330172536,
    0.3541894557986047,
    0.3848519978562523,
    0.3856092920695528,
    0.4262379365962378,
    0.42049080890857876,
    0.4530473639283341,
    0.4811489039087322,
    0.4476674500821273,
    0.43241716989786955,
    0.3867398975454047,
    0.3981040695066559,
    0.3726566006992476,
    0.3733546895629026,
    0.4330606221741602,
    0.4254063726565137,
    0.3925901406976473,
    0.36871191192024394,
    0.4089630566279674,
    0.35716104153577344,
    0.4140053060345819,
    0.4089060297801408,
    0.469231104709164,
    0.41557369079413964,
    0.4050532289486049,
    0.3517923062893327,
    0.4304982682741724,
    0.3490411696302314,
    0.43394081061954853,
    0.3807670583314548,
    0.4658784106876557,
    0.36763808086675026,
    0.4512586436073342,
    0.3814291424438784,
    0.4648314094504023,
    0.398139128224124,
    0.48987855035901023,
    0.4109363159972567,
    0.5020182655215449,
    0.441603031387103,
    0.3819946113110757,
    0.3997035861516585,
    0.41359951588241445,
    0.37261324169524485,
    0.40307778402673206,
    0.44107045643576187,
    0.48204886971081634,
    0.37167854030919883,
    0.3779769007549371,
    0.39471022405772643,
    0.4190278594964904,
    0.3929102766173537,
    0.4353961581595553,
    0.4617507286120533,
    0.49719130972718906,
    0.3783769798576213,
    0.4379795563009886,
    0.4079155028792977,
    0.46724563355055854,
    0.4126305773064079,
    0.4760219555549904,
    0.4540339087909164,
    0.5137072411375603,
    0.4016355771328715,
    0.46937404181547454,
    0.4182403076211538,
    0.47748847706129277,
    0.4486691873647562,
    0.5196250691744997,
    0.46970698553194207,
    0.5329146830429974,
    0.47962752333550296,
    0.42956093032412923,
    0.4510077669644055,
    0.3952263593350873,
    0.4006264350133759,
    0.3569099419809063,
    0.39433296112105193,
    0.4438669960416956,
    0.4194778842342378,
    0.371864271856655,
    0.38213233603520463,
    0.41475277308539166,
    0.3545112785159389,
    0.3932519672845212,
    0.42555211712563185,
    0.46749124628815636,
    0.39793728755425084,
    0.3777799780453317,
    0.3586963413783388,
    0.42485329255849474,
    0.3423324184797728,
    0.40920727695090714,
    0.3942556000285608,
    0.46406820754989303,
    0.35018054462427894,
    0.41725551227562585,
    0.39435431492474293,
    0.46118728122296804,
    0.38566175604570435,
    0.45525696893431283,
    0.42757948130962664,
    0.49434935083482595,
    0.43945942269418,
    0.36464743142567707,
    0.4144703165697479,
    0.42374362825849055,
    0.3709140854541291,
    0.3877959149726811,
    0.4602113368224082,
    0.4912234766974933,
    0.3643976221405563,
    0.3578497922492476,
    0.41207835784476,
    0.42558991498317766,
    0.38823205987196974,
    0.40758833419822277,
    0.47851142003117625,
    0.4967461440639167,
    0.3630907648382065,
    0.40586843041544846,
    0.41662950452361935,
    0.45882950677506446,
    0.40234818010367795,
    0.4439858814635418,
    0.46704215007866623,
    0.5073230394430047,
    0.38332583069962084,
    0.4279101982841318,
    0.434976134329761,
    0.4744833423217141,
    0.43091401187294903,
    0.4730936185282334,
    0.489679477814885,
    0.5232208734943797,
    0.4399048065234293,
    0.40150721109516346,
    0.4029525346375412,
    0.4528663263549991,
    0.3489556444840775,
    0.40875553831732675,
    0.4316302541722105,
    0.49737672421460893,
    0.3892771115405177,
    0.42602287604574096,
    0.4318302166404532,
    0.48763060519014656,
    0.39643436870654364,
    0.4579043050887952,
    0.470117386067399,
    0.5336646093031314,
    0.37832786837901233,
    0.4796320763819378,
    0.4235301996655739,
    0.5263113614007932,
    0.3834275852653957,
    0.4849035914888424,
    0.43016265905069423,
    0.5359876907607862,
    0.42852641652938495,
    0.5391456333741214,
    0.46471509776528935,
    0.5793007222475647,
    0.4391485648432782,
    0.5542263099851272,
    0.46795562559677006,
    0.5873266603370211,
    0.40552681758743203,
    0.4178645552493219,
    0.465081397289232,
    0.5025790188115112,
    0.4122138392944708,
    0.4542303158533979,
    0.5146054501740843,
    0.5656701304506724,
    0.40854237496284834,
    0.4453153800162684,
    0.4805397599588555,
    0.5110431861696928,
    0.4481120734816284,
    0.4886641501386321,
    0.540246416172098,
    0.5829948304434869,
    0.4405176429601889,
    0.5292820209217994,
    0.4983542691147809,
    0.5877623001037493,
    0.46075279694011056,
    0.5429924210387015,
    0.5273200933953742,
    0.613407714058464,
    0.47836931739292066,
    0.5783329119436053,
    0.522750620523217,
    0.6236059830868788,
    0.5054965806282394,
    0.6047011960258647,
    0.5565138840788777,
    0.6611255457030364,
    0.5300636620102435,
    0.4893274330861295,
    0.5338886709879727,
    0.47117357245381564,
    0.46877947884653226,
    0.4244421337654531,
    0.4772776947909827,
    0.4148817036249294,
    0.5138567991027032,
    0.46540338780293355,
    0.48310232464784614,
    0.4252359412485062,
    0.4533942185514071,
    0.4055109877641956,
    0.4297130485726179,
    0.37112337940199425,
    0.555261272976213,
    0.5071588121000864,
    0.49135478339424765,
    0.44341784425535624,
    0.4727656544522299,
    0.4355232255536774,
    0.43056962561358775,
    0.4101960996209648,
    0.5346060050367033,
    0.480160240920273,
    0.4524111907074252,
    0.4056828076727893,
    0.45775057058500446,
    0.4203740493369535,
    0.4124071884428122,
    0.4766171753616216,
    0.5018739553194189,
    0.4237870991705091,
    0.5060310777452809,
    0.4179614750888162,
    0.4588644063387721,
    0.38565977692797976,
    0.46080862517852106,
    0.37896631985801627,
    0.4671210547150264,
    0.3837319314867929,
    0.4407005368047242,
    0.35515517730292173,
    0.4203676749758584,
    0.3446260111238263,
    0.3985609708619516,
    0.39786909207028454,
    0.5159542948281,
    0.44340664090403736,
    0.46455609626865296,
    0.39270693861288586,
    0.452412180228926,
    0.39008432520135794,
    0.42856405147474086,
    0.4676707277755166,
    0.4799367990598824,
    0.40426702270538517,
    0.4110034393969096,
    0.43235511540655963,
    0.416831349639052,
    0.45278951786426985,
    0.48269978553357723,
    0.5178596658034084,
    0.4874658361256131,
    0.4581874518369518,
    0.47381797522720615,
    0.42688830550690887,
    0.4124622878192255,
    0.3838749829373728,
    0.3992925613538718,
    0.3575126826307563,
    0.47806266086125593,
    0.43810436700841493,
    0.43789330524064113,
    0.3913869726650449,
    0.40108354148281017,
    0.3669932354278041,
    0.3644985717915935,
    0.41147021092141844,
    0.49854422860167924,
    0.4687677484364765,
    0.43481483508713387,
    0.4080123734243534,
    0.4119308161929301,
    0.39826069067602304,
    0.382277230788491,
    0.455628017532512,
    0.48525331170307345,
    0.4469013863504125,
    0.4067340977113307,
    0.4808271029538318,
    0.40485218070403256,
    0.49003360554018677,
    0.4503757714634956,
    0.5378009618486096,
    0.4653273363423283,
    0.4037409258747594,
    0.454350976070525,
    0.38353683511560704,
    0.40756696381326396,
    0.35064793981882525,
    0.3924540618217277,
    0.4159384210772149,
    0.44034968174846195,
    0.3702203055960854,
    0.40111363320964244,
    0.3951337675214537,
    0.3754675656676108,
    0.38052442991388563,
    0.4254464197727047,
    0.44947711458103135,
    0.468280068360476,
    0.4157447830734027,
    0.41452652643853544,
    0.46310109321380666,
    0.39813273574595753,
    0.4545606331152914,
    0.4716318459402125,
    0.525545024763155,
    0.4418655646392882,
    0.47361627140020146,
    0.4696366316249109,
    0.5197060302218345,
    0.4728762471579036,
    0.5341165622906313,
    0.5334978310252377,
    0.5901183605149765,
    0.4648369214289657,
    0.4147233434997283,
    0.47258063152946,
    0.4128243797688273,
    0.4020956475685663,
    0.353157472593996,
    0.4146853920828314,
    0.3573701056637629,
    0.44434076974738684,
    0.3935791225108468,
    0.42794055087456334,
    0.37096250874702585,
    0.38679383029027953,
    0.33658944580189043,
    0.37443713310629023,
    0.4061508641646345,
    0.47494280375084347,
    0.43513511749923567,
    0.4328361490555279,
    0.39789897402674296,
    0.391804413417524,
    0.3714555448757345,
    0.3907545205297584,
    0.453187321190371,
    0.453513594068605,
    0.40891827209524767,
    0.40126579293887765,
    0.4617491042914589,
    0.38557867423538733,
    0.4541621140864028,
    0.45861201191880263,
    0.530078155032335,
    0.4498605947322102,
    0.36794757426982005,
    0.45568940981623635,
    0.371389664151198,
    0.3997260922816657,
    0.32474653834876815,
    0.40609239433092803,
    0.4170983122913276,
    0.4101008014182625,
    0.32922719113989407,
    0.3942492847397698,
    0.3775967156019876,
    0.3605949079828218,
    0.3479518808742127,
    0.43896458172443936,
    0.445168052198249,
    0.45202216502241155,
    0.386303407576564,
    0.41613097911325186,
    0.44960890896319633,
    0.38464805003228625,
    0.4261511924832535,
    0.48277937402315113,
    0.5229662488085792,
    0.41391477568981794,
    0.4307862617375028,
    0.46764953119374403,
    0.4977563422256384,
    0.45047220491883666,
    0.49309883858885034,
    0.5459606654118787,
    0.5860263187055634,
    0.42865735197936256,
    0.39172367516853435,
    0.4197043757147307,
    0.3737159892832784,
    0.3541117124726692,
    0.32032654445607517,
    0.3470224833034349,
    0.3956773259115672,
    0.4118071247173677,
    0.3713017938450771,
    0.3855012042313448,
    0.4189827447893333,
    0.34036124434414844,
    0.37593967478372775,
    0.40439954349968416,
    0.45733869599252325,
    0.4353079968110247,
    0.4137868861628993,
    0.39471648877305787,
    0.4781604898934648,
    0.35468379308544706,
    0.4439587625197976,
    0.4251351372367464,
    0.5181633387375795,
    0.4172145733880514,
    0.49710770122803694,
    0.46793601456267814,
    0.5662865200075153,
    0.4384892513339776,
    0.5458393648071915,
    0.5055813995498856,
    0.6235373335803873,
    0.416724879300355,
    0.35107995459911423,
    0.40763579766570907,
    0.41350540775144307,
    0.35535095382064397,
    0.36238356573686886,
    0.4379571843748027,
    0.46762724432404096,
    0.38495047777309016,
    0.3686722205790035,
    0.4306594976139531,
    0.4525872223937207,
    0.39015025253943997,
    0.4116049184098549,
    0.48610860433429964,
    0.5078302503686447,
    0.41601984321897567,
    0.46762636246423506,
    0.4821750156386469,
    0.5482412437550122,
    0.4420711340057046,
    0.5123678265423606,
    0.5364588070738965,
    0.6077197047535309,
    0.47574537269331385,
    0.5496449265007582,
    0.5500381648095132,
    0.6250289157030647,
    0.5213860428990864,
    0.6044887116449538,
    0.6160554133369124,
    0.7054521762355448,
    0.5064335234595215,
    0.4571056954277575,
    0.46902095444179914,
    0.4053669766280423,
    0.4699301109097805,
    0.41748508041483234,
    0.43079184253616226,
    0.3738556048729763,
    0.4645134166785569,
    0.41499225181612964,
    0.4137024906941302,
    0.3548612501206528,
    0.42823571714233416,
    0.37801372140984396,
    0.38071149204186666,
    0.4170409068867011,
    0.4340055546837224,
    0.39908328319764386,
    0.3660529835372142,
    0.33738389257904505,
    0.3853273132598144,
    0.36531283333068554,
    0.34317034223556875,
    0.3939705964274858,
    0.40828439464697475,
    0.3682868454772332,
    0.3377840517863404,
    0.3844923239997869,
    0.3680512486510616,
    0.4277921059273227,
    0.39140882083791595,
    0.44437262310317566,
    0.47200746903937746,
    0.3922051161331573,
    0.4391551194723961,
    0.3549413922251875,
    0.44636349330774944,
    0.3709030362535565,
    0.40740836524051116,
    0.42489968029760466,
    0.4118229922615882,
    0.3360161396506966,
    0.36659629595733256,
    0.35073249494577297,
    0.38675875851107067,
    0.3877022537734033,
    0.4376190146418285,
    0.44755229062209756,
    0.39909571842724445,
    0.3439567490751821,
    0.3454734862901999,
    0.37223387990104034,
    0.3715841133270068,
    0.4074868367766863,
    0.41478087947439246,
    0.44221283781579535,
    0.3583555580023477,
    0.37672756746026664,
    0.3779790524207219,
    0.3966040627856828,
    0.41859127520339007,
    0.4516600483312948,
    0.4549406768930726,
    0.4748894286865698,
    0.47152923287994714,
    0.4284869806488977,
    0.4217248682672013,
    0.37085736965272026,
    0.41109565672015463,
    0.37139044604319593,
    0.37311555510133265,
    0.42200703563806735,
    0.4380380142664823,
    0.39387966214146747,
    0.3746843511993481,
    0.4074111382066041,
    0.3800478630658834,
    0.4266954213994676,
    0.42376211961584925,
    0.4780024502479727,
    0.399506700787249,
    0.37583438584729484,
    0.33813633414002325,
    0.4000394038254304,
    0.34975773687840517,
    0.4200028897326609,
    0.3767029221128033,
    0.4429578449153108,
    0.378547368192793,
    0.4468960035881116,
    0.3878960667161217,
    0.4560175490441447,
    0.41741954274020643,
    0.49985873207616077,
    0.42775012974496024,
    0.5058388905860486,
    0.44235904652870917,
    0.37461819916130346,
    0.3996539762300277,
    0.40576346077946507,
    0.3957736058022265,
    0.4141316819918199,
    0.45515913874033576,
    0.4881020632400429,
    0.3914558954986775,
    0.384389383055031,
    0.4069986359973342,
    0.4236580387061898,
    0.42491788790339535,
    0.45720423208519173,
    0.4918899279209315,
    0.5184404244123069,
    0.37041826888092516,
    0.41552016992692153,
    0.40285543468812013,
    0.4479004761642004,
    0.42263817203721915,
    0.47155156504259965,
    0.4636290812055247,
    0.5049815797758774,
    0.41933424204425934,
    0.47339760823645594,
    0.43614934876927675,
    0.4776597247727253,
    0.4812538960571811,
    0.5366200416727064,
    0.5050221011420447,
    0.5481962794650871,
    0.43874818057073073,
    0.38771067607309345,
    0.41708013839937297,
    0.3577140057441964,
    0.3948158727947028,
    0.3433699361826923,
    0.3760851858770068,
    0.41201884586325427,
    0.4014495164040742,
    0.35193510060356353,
    0.3650943749941744,
    0.3864047584800205,
    0.36116796976295157,
    0.3910558664246567,
    0.4222528648159681,
    0.4560664809639416,
    0.36982790572383323,
    0.3405649750259285,
    0.33273957412305727,
    0.3815739085969801,
    0.32992539028216905,
    0.3857932024747821,
    0.3724639177434384,
    0.4232973053594996,
    0.34542064381419435,
    0.3997928852243836,
    0.38178859801599613,
    0.4314507613868264,
    0.39099760760300784,
    0.45428480288377987,
    0.4236525731026439,
    0.47362545156179214,
    0.4144570688151989,
    0.33843238673304704,
    0.3947774923217856,
    0.3915852149934203,
    0.38024791281458187,
    0.3861562456104285,
    0.45782363968459716,
    0.47594178572614004,
    0.3591874502786226,
    0.34157729270052034,
    0.399214690143031,
    0.4017040459460743,
    0.40532056915937253,
    0.41658527446976745,
    0.49202177965710314,
    0.49727403728879754,
    0.3460651444136736,
    0.37662878774725794,
    0.3993320659700651,
    0.4257566619996013,
    0.4032348427514406,
    0.4361618634276881,
    0.4623091419727776,
    0.48306979934600375,
    0.38687613016542893,
    0.41935144523121176,
    0.4342011536382326,
    0.45283314316217743,
    0.4533135725622508,
    0.4861444027785424,
    0.5075948396741526,
    0.5164779015745328,
    0.40688727906993327,
    0.3648781173281796,
    0.37292840337134675,
    0.4102885633167294,
    0.34391180289711926,
    0.38968137340260756,
    0.4125507790275259,
    0.46476262973104593,
    0.3761525210184678,
    0.4042418606475963,
    0.41099206643337405,
    0.4610297515624882,
    0.4004474890967326,
    0.45648990720939603,
    0.4680890196083771,
    0.526965430701012,
    0.3461522291799454,
    0.4297509512871299,
    0.3878176013557212,
    0.4679788828618437,
    0.3734089363781722,
    0.457426771533497,
    0.41009589563465226,
    0.49164976999691756,
    0.41513246913147295,
    0.5108402432956435,
    0.4436875156629481,
    0.5362805961134355,
    0.44551073026556165,
    0.5501995161854142,
    0.46588785701420976,
    0.5647018467879383,
    0.38557816242543264,
    0.3870435375680482,
    0.44066048988985645,
    0.46722200296595306,
    0.4198871296220936,
    0.44946775351124946,
    0.5134141579994845,
    0.5498311880261477,
    0.40200151956621394,
    0.42811276820293076,
    0.4673124194072445,
    0.48652052175046234,
    0.46796053533051224,
    0.4967943618443839,
    0.5566091681909081,
    0.5874734033521641,
    0.411790100225903,
    0.4836377106632694,
    0.4704064246909935,
    0.5349509378546586,
    0.4627086839067858,
    0.5215822106287862,
    0.5235365697373275,
    0.5737683810573917,
    0.47411734932250893,
    0.5549163412525521,
    0.5112899547812596,
    0.581509831473499,
    0.5288834668349458,
    0.6052929948286051,
    0.5767336062991311,
    0.6393647625349864,
    0.5057896959657368,
    0.4640469600332636,
    0.49533364313263983,
    0.4380147333243636,
    0.4050714050616635,
    0.36889511509286527,
    0.4114122613992565,
    0.3626799305430087,
    0.46000072558393257,
    0.416458189120601,
    0.42801729019960855,
    0.3758495216247617,
    0.37812817626090034,
    0.33732645565098396,
    0.3555476702645764,
    0.39185207988721193,
    0.5129789729933816,
    0.47151218612156975,
    0.44997207052171534,
    0.42058771797268424,
    0.4131400279228262,
    0.3965656268589145,
    0.40253059992355544,
    0.46663365653683353,
    0.4700915420708918,
    0.42476150332253493,
    0.4040643297475263,
    0.4658273580997548,
    0.3985671327814314,
    0.46739287735144264,
    0.4507791441528707,
    0.5185879984330338,
    0.4765513477880819,
    0.398666601202647,
    0.4667758584801888,
    0.38242610797792936,
    0.3902238488976569,
    0.3272301518706484,
    0.38875820742932315,
    0.407187168393381,
    0.4138319098373018,
    0.3397192873520532,
    0.3877502347408583,
    0.3793537142790814,
    0.3420084001544944,
    0.34363368881915696,
    0.409745970358125,
    0.4189017670770794,
    0.47795811417518114,
    0.41004813050775923,
    0.42960096146310567,
    0.4664286522458773,
    0.3994595522204171,
    0.44446617572435987,
    0.4812313063726228,
    0.5229214933352734,
    0.4174547038075654,
    0.4421871269116834,
    0.46057100464330675,
    0.4932780486876569,
    0.4511470741440834,
    0.49618514391668245,
    0.5202639849951944,
    0.5594705936689678,
    0.45478129390829847,
    0.42527975886515257,
    0.43479274684527985,
    0.3903855192307442,
    0.3535982966478231,
    0.3265999906634676,
    0.34404530054334065,
    0.3913930733186571,
    0.4177918162887005,
    0.38243057953618803,
    0.37890778235185807,
    0.4188543943518451,
    0.3290930691864959,
    0.3718156711703071,
    0.3773393398185925,
    0.4221633559392811,
    0.4592509050282403,
    0.43196553043812785,
    0.41133354904518227,
    0.4916095627842893,
    0.3677421947182378,
    0.449480431150432,
    0.42699213366950267,
    0.5069832968467808,
    0.42501399164487735,
    0.5039083565021013,
    0.4656734589937549,
    0.5539568671396295,
    0.44349681292116516,
    0.5348889760736316,
    0.48215426367099723,
    0.5730616439513326,
    0.4315987341005326,
    0.37234759326065103,
    0.41372252365413104,
    0.42736166403347176,
    0.34187377829843585,
    0.36242086233180754,
    0.4179503673808476,
    0.44511364642495904,
    0.38012153734362436,
    0.37718915349515425,
    0.4197090859981047,
    0.44669318124942486,
    0.36860538712103535,
    0.3957746986178698,
    0.4394767398151772,
    0.4560574922551804,
    0.4317277882572958,
    0.4851296750374711,
    0.49460310327714363,
    0.557649650328717,
    0.44733940686374524,
    0.5108408288593962,
    0.5229069674673705,
    0.5803445986735533,
    0.4785716882293523,
    0.5467353649032558,
    0.5361443513963695,
    0.6033980463552185,
    0.5116605512589527,
    0.5819126617561102,
    0.5698216267738361,
    0.6321943599086847,
    0.4409767363758247,
    0.3942779779385549,
    0.43722513274428176,
    0.38367748982449257,
    0.34815161296853414,
    0.30784535494568394,
    0.364725370952339,
    0.40449898881635193,
    0.3977748117828258,
    0.35190335043188126,
    0.3779722419439727,
    0.4097062576652244,
    0.31942704002884104,
    0.3480824827061827,
    0.3987492417670036,
    0.43251791187269734,
    0.4425943496438444,
    0.40748866991659427,
    0.41445031554041406,
    0.4838726873569337,
    0.3586288162262058,
    0.4306608146674249,
    0.44582946059123213,
    0.5212074632165965,
    0.40402245949452376,
    0.47032069655273084,
    0.4674163309793059,
    0.5411408628271581,
    0.4284471361615851,
    0.5069078705315417,
    0.504213257397499,
    0.5872145420537654,
    0.4205253927421614,
    0.34306561126792334,
    0.415579321819079,
    0.420053762537756,
    0.3383678917743048,
    0.34322539872617996,
    0.44073275388854977,
    0.459473737680024,
    0.3605596979542441,
    0.3430393720590516,
    0.4240778430870081,
    0.43372486490564016,
    0.357612277797208,
    0.36626072238804475,
    0.46367777997351717,
    0.46831565093691147,
    0.41831049548316623,
    0.4541459094130898,
    0.49866175599297835,
    0.5415126305779873,
    0.4377408094377041,
    0.4887695858309737,
    0.5437075095564162,
    0.5963903360665713,
    0.45729426452764976,
    0.501819567455729,
    0.5408563634694061,
    0.5842415275707166,
    0.49124602189912203,
    0.5454625662380367,
    0.5963605855604879,
    0.6530980427922336,
    0.40255147151389215,
    0.3662369706149068,
    0.38741066997110896,
    0.4363758850506595,
    0.3065435513433307,
    0.35002126667820604,
    0.38814443502996226,
    0.43926051273535266,
    0.3640567432985207,
    0.3946634131151665,
    0.4228918691512426,
    0.4803249784576879,
    0.350825110282219,
    0.39839091603367854,
    0.42648877648511824,
    0.47351500885949444,
    0.40261825605287604,
    0.5008821431815752,
    0.4777520998124589,
    0.5842272450959748,
    0.40008385713561617,
    0.5031473023381461,
    0.4751385403248477,
    0.5850688840106658,
    0.4738008866842499,
    0.5847414429296276,
    0.5469666619194798,
    0.673256423963266,
    0.4806154175469796,
    0.6019125311466029,
    0.5480180115546477,
    0.6851474440666985,
    0.3852933827955034,
    0.38621446125464565,
    0.46093664859924793,
    0.49496101586723307,
    0.37353368953756066,
    0.3994989185842591,
    0.478674064458701,
    0.5085400572574811,
    0.39537836633166823,
    0.42214225075937667,
    0.491646665937895,
    0.5204488566900356,
    0.40785681755539926,
    0.4281083305411986,
    0.506459394522835,
    0.5237025367751128,
    0.48504521161919134,
    0.5702764438573314,
    0.5825926620180272,
    0.6745611732083283,
    0.4968369013065073,
    0.5838198826661756,
    0.5999764478632272,
    0.6935254449116647,
    0.5502376508838001,
    0.6487369660786474,
    0.6461505354577125,
    0.7606858985412228,
    0.5673626140643148,
    0.6735639210955677,
    0.6751911770627258,
    0.803525434499241,
    0.47825440237470496,
    0.4309564787183102,
    0.4331281519453786,
    0.37550263477855444,
    0.404061497560849,
    0.3606522845005179,
    0.38388633557693985,
    0.424471088901022,
    0.4144150167308973,
    0.37024313825403016,
    0.36513013691185714,
    0.3954795320887133,
    0.35202450946733543,
    0.3957112950408945,
    0.4123783565877495,
    0.4478219907669727,
    0.4072516313544993,
    0.3807398083466733,
    0.3520548174477061,
    0.4081001615071277,
    0.3569266336344324,
    0.42008186980529566,
    0.39185989184915865,
    0.45079832402805925,
    0.35742609479389614,
    0.41715077246029414,
    0.3811475004151069,
    0.4355857568746338,
    0.39796060893475727,
    0.46320840993998996,
    0.41912013045274527,
    0.4727346979680867,
    0.44473288871681366,
    0.36545092792152195,
    0.4023320334131648,
    0.4036171055603442,
    0.3791584206490099,
    0.39432523371646555,
    0.45149730784858877,
    0.46871652954883086,
    0.365543216658298,
    0.35653022938340545,
    0.4003420505305448,
    0.40375968599727635,
    0.3930475785558757,
    0.41015533854303343,
    0.46921212131645784,
    0.47385421828177393,
    0.3719521462771679,
    0.40797676490417095,
    0.40994228899054047,
    0.4388838605935585,
    0.41984621242894427,
    0.4569863175307566,
    0.46349678611114165,
    0.48950747646762266,
    0.39266122367596634,
    0.42544261064304667,
    0.4227644627332804,
    0.44320148067155846,
    0.4459678595414079,
    0.4807909700474778,
    0.4807497036856725,
    0.4935440745323748,
    0.43461873400045503,
    0.3950955016827997,
    0.38223140513798615,
    0.42958938702962124,
    0.3486353235410663,
    0.40476685108478894,
    0.41521949536286845,
    0.4673813592180405,
    0.3804756230753993,
    0.41913271479780373,
    0.4087022125683017,
    0.4615195632044702,
    0.3904424802027481,
    0.4485408021826416,
    0.4454671925367778,
    0.49659952930975054,
    0.3755657255982982,
    0.4580466064189756,
    0.40418642554628953,
    0.48329521733149594,
    0.39225745343233936,
    0.4731342033119958,
    0.4209050769688063,
    0.49780474388094725,
    0.42392831691437505,
    0.5121298512799337,
    0.4369284602786741,
    0.5229120134530114,
    0.44535708332908613,
    0.5346081300618764,
    0.4480989110778288,
    0.5285885910938511,
    0.406401194979325,
    0.4148044019245523,
    0.45050675253742933,
    0.4775775053799548,
    0.4179491154444747,
    0.449547480835222,
    0.49847342614564605,
    0.5278472753549854,
    0.40545801042284074,
    0.436618881003586,
    0.46125902018778614,
    0.4817638944054554,
    0.4458421221282746,
    0.47446014623396826,
    0.5161966231144683,
    0.5353523830413607,
    0.4390592338144778,
    0.5034547233489929,
    0.4781713034800837,
    0.537130916386843,
    0.47044483841003515,
    0.5243740592006801,
    0.5133770871443845,
    0.5567839118563501,
    0.4737847299111399,
    0.5426863094652797,
    0.49343085041477086,
    0.5525280153699423,
    0.5110258120629995,
    0.5715810188112841,
    0.530481662008361,
    0.569228149314711,
    0.4122063354077922,
    0.3663404907365136,
    0.38256392676493167,
    0.42486987157453937,
    0.33895720273708374,
    0.38289398555391047,
    0.42307425318619446,
    0.46754042527248174,
    0.3569615194090386,
    0.3856105779830243,
    0.4069209693698207,
    0.44757546823200706,
    0.373621135235541,
    0.4149075700272187,
    0.4481466050111433,
    0.48382594893070957,
    0.3558035615138295,
    0.4229556549214009,
    0.40165106357569824,
    0.467831838773271,
    0.373249869309658,
    0.4426819351049917,
    0.4203118735543704,
    0.48787561176614114,
    0.39495165453291325,
    0.4646060923348349,
    0.43631390321343455,
    0.502894202335599,
    0.4154473567847856,
    0.4895438349429772,
    0.44652856142228203,
    0.5041598546222054,
    0.38473278183637155,
    0.3824418660904786,
    0.44975423842599693,
    0.4657196495458131,
    0.4049397942413335,
    0.42224820557518744,
    0.5044001877873882,
    0.5252204784127266,
    0.381924347761475,
    0.39367678566878656,
    0.45862904709078245,
    0.4627157386942115,
    0.42353559533635954,
    0.43257169134418855,
    0.5188097572538984,
    0.5217158763199226,
    0.4158196174366009,
    0.4580893346039394,
    0.47430383885385136,
    0.510879921834192,
    0.44751429495543465,
    0.4878941800701308,
    0.5119350807585665,
    0.541018365617392,
    0.4401365990161043,
    0.4816039088756979,
    0.49478112208584285,
    0.5255437340251878,
    0.47503068232416873,
    0.5148950855144807,
    0.5321473687747995,
    0.5391682521344426,
    0.3767097087615756,
    0.42270810966811306,
    0.43670593384778994,
    0.4953287238648293,
    0.37639028188008733,
    0.43434690494989187,
    0.45844363345465844,
    0.5207748868982354,
    0.4048659951850503,
    0.4660982073858965,
    0.4692119072165701,
    0.531927823077435,
    0.4194256699734196,
    0.477864523168061,
    0.488498852108697,
    0.5493204867483915,
    0.42142010481001274,
    0.5296843027633515,
    0.46831180154090335,
    0.5803290649995988,
    0.4116997445210369,
    0.5156203051919407,
    0.45353157065062494,
    0.5597807916364306,
    0.4761246906091525,
    0.5998360442654861,
    0.5122554864392636,
    0.644991651417208,
    0.46925522089834953,
    0.5934621514139757,
    0.4819732626115046,
    0.6014752691993205,
    0.4319101180508975,
    0.4660904279385672,
    0.5221584265044747,
    0.5588066792737574,
    0.45683330978497166,
    0.4886702947707742,
    0.5628628949181206,
    0.6054792079917515,
    0.45829262642850455,
    0.49210187747412226,
    0.5369069566755695,
    0.5678195242677055,
    0.4855813457230734,
    0.5137413922769571,
    0.5842983203853772,
    0.6164186102121959,
    0.49950315876492624,
    0.594946734646881,
    0.5665700219046015,
    0.6668877710884115,
    0.5081968709801135,
    0.586317781820233,
    0.5799592433908657,
    0.6579028320230568,
    0.5448744220614119,
    0.6589484033301838,
    0.6000495220520635,
    0.726113702701166,
    0.5579098022894272,
    0.6606515689826508,
    0.6122087532115388,
    0.7151201160601041,
    0.5682944608178673,
    0.5247458290829272,
    0.5609037220389086,
    0.49006328947025507,
    0.49739617293490046,
    0.45727893708088835,
    0.49200428056989864,
    0.4291513168611577,
    0.5537340154497871,
    0.502869648076534,
    0.5261007567009158,
    0.4574952307055596,
    0.48924285055771166,
    0.4418956688780341,
    0.45982558926308265,
    0.39666101679214544,
    0.5531596453405017,
    0.5194886574778536,
    0.48875985115166487,
    0.4457328055485913,
    0.45741952242723993,
    0.43326214395870644,
    0.41106467279829295,
    0.4031351771663729,
    0.5427602398341413,
    0.501144863035662,
    0.46622164074418876,
    0.4305890071387539,
    0.4563658111726929,
    0.43805019673224105,
    0.41680651144542114,
    0.48711299948790737,
    0.5154783312587521,
    0.44704726110411186,
    0.5145173206169754,
    0.4285080423016192,
    0.4717132912072784,
    0.40686531344411275,
    0.46302270516787997,
    0.385170438693851,
    0.4855621838582921,
    0.41271295474375347,
    0.46458071846914845,
    0.3803305526700191,
    0.44221240533545586,
    0.37389770105214626,
    0.41615435660525163,
    0.428046916346101,
    0.5038884455086541,
    0.4505294374341123,
    0.4527775728078794,
    0.397000338953971,
    0.4351303931827832,
    0.3925464786330641,
    0.4124978938071118,
    0.4563671904189439,
    0.47734670910680693,
    0.42013962339700134,
    0.415681209381654,
    0.4574903329011416,
    0.41673651123587235,
    0.4711639820717999,
    0.4826403440001114,
    0.5290614242002303,
    0.492961482688804,
    0.4696372874475009,
    0.47419000900182046,
    0.4266607719718215,
    0.4039961025320753,
    0.38691874178781854,
    0.39082484469033035,
    0.3563487615984058,
    0.4887617772227816,
    0.4532220596513008,
    0.45543192966358276,
    0.40552740897034056,
    0.40490822116339437,
    0.37693798969813724,
    0.37325226535649353,
    0.42750610280465917,
    0.4869630844115946,
    0.47185341095355554,
    0.4204153507234709,
    0.40763748737997463,
    0.38222139544380607,
    0.3913555283509143,
    0.35767768745358924,
    0.4363746841619525,
    0.47916049966079355,
    0.4538856609035347,
    0.4112129480081916,
    0.4943295772026262,
    0.3950271523864517,
    0.49160968309562003,
    0.438847824483012,
    0.5342047395967917,
    0.45934475727651025,
    0.40965984623971313,
    0.44688501068458153,
    0.37984105438983234,
    0.3937346157563832,
    0.34909790183078226,
    0.3789678408319855,
    0.4109124827101938,
    0.43936344386303267,
    0.380991237160749,
    0.4090357612556976,
    0.4127453622939227,
    0.374072409423811,
    0.395279632175459,
    0.4346023730120367,
    0.46557975822477066,
    0.4509024615164461,
    0.4151924868694046,
    0.40049223554612795,
    0.4593014720003311,
    0.3771670613074278,
    0.44479534423427025,
    0.44166270886056735,
    0.5014475922436611,
    0.4287162514920459,
    0.4872864804068683,
    0.46869068103986955,
    0.5327686515008098,
    0.4593678162105168,
    0.5359874965433996,
    0.5176546325358162,
    0.5868537027728312,
    0.48961522541293634,
    0.4440907743222042,
    0.4903017640593714,
    0.4315889955691409,
    0.4089127854468197,
    0.3703992441848493,
    0.4144961243698255,
    0.369223848436624,
    0.48064671065693837,
    0.4291049497187903,
    0.46248653107845844,
    0.40146592467843156,
    0.4076912167757939,
    0.3609811328906392,
    0.391892974230429,
    0.4332935995882088,
    0.46975172298794604,
    0.44249038022738174,
    0.43225754766505503,
    0.4120428798883741,
    0.37283299932761055,
    0.37157443836709014,
    0.3768012633642561,
    0.44801906189147794,
    0.464161878917348,
    0.4284483205720689,
    0.4273105599795597,
    0.5020434940529934,
    0.3914482754637972,
    0.47184221097884266,
    0.46728958401836795,
    0.5521099677157667,
    0.45703951205476506,
    0.39010054763875457,
    0.45972186542092053,
    0.3850309472567898,
    0.3977627186671755,
    0.336754110043967,
    0.39874378091707346,
    0.42623028070848523,
    0.43014707136373054,
    0.36047369445194705,
    0.415522776973032,
    0.41492257494727025,
    0.37343052134114063,
    0.3802045918424722,
    0.45547521416458503,
    0.4749386941827491,
    0.4384469646569854,
    0.39064366188024785,
    0.4140059632894974,
    0.46465610391262857,
    0.37072939638240493,
    0.4225630755861503,
    0.4625694025317613,
    0.5144020809357919,
    0.4155272668450122,
    0.46136253212643824,
    0.4883264968194379,
    0.5428564133965124,
    0.45383160967585834,
    0.5120368264813778,
    0.5518532914867057,
    0.6117016305485666,
    0.43695779180326033,
    0.405572152101677,
    0.42254102295965634,
    0.3794587627028449,
    0.3412146811190314,
    0.3189729417921638,
    0.34047279685522797,
    0.3948982048927936,
    0.43029742495411105,
    0.3902316328492294,
    0.40532195207155974,
    0.445260076662195,
    0.3422919680821316,
    0.38886191888859334,
    0.41590195238020844,
    0.47279466640738904,
    0.42334585581426804,
    0.4185874525813361,
    0.3910908052653798,
    0.48402712801300063,
    0.3298325169375512,
    0.42938492766369224,
    0.3965229044211766,
    0.4983403268809423,
    0.4154019115331853,
    0.5175572229707358,
    0.48227867752766546,
    0.5952648996199618,
    0.4260803759560223,
    0.545094085564088,
    0.49716431461208566,
    0.6284744056378795,
    0.414791746760273,
    0.361321800985843,
    0.4040655685042804,
    0.42219016232314893,
    0.33878286388904805,
    0.3633701953289426,
    0.42523128415587974,
    0.4644027100401367,
    0.3924276654477516,
    0.3931402410993725,
    0.4511793349867401,
    0.48321821565951795,
    0.39376414604121834,
    0.427121885100957,
    0.49357654771482257,
    0.5264188374439721,
    0.39919941978587686,
    0.4746834457583285,
    0.4731086904051954,
    0.5536181378028888,
    0.41189763011509317,
    0.49287624279209125,
    0.5014710598913845,
    0.5830080250219531,
    0.4758117637708524,
    0.570923462769379,
    0.560055830762566,
    0.6587825627879565,
    0.5049906213736839,
    0.6035074784919021,
    0.6042228958037918,
    0.7131759564182187,
    0.5485090431233669,
    0.5024201563555754,
    0.5109711610404655,
    0.4460207918803851,
    0.49587241704298346,
    0.4509471806857153,
    0.4554725116959414,
    0.4097299458109762,
    0.5170763501472435,
    0.46883309816783136,
    0.46629290488969044,
    0.40369285016358786,
    0.46914963266904713,
    0.4223593848813935,
    0.4234657508128213,
    0.47293298321342897,
    0.44577228373375083,
    0.4210540824805992,
    0.3730681524526227,
    0.3580087730806973,
    0.3925714577781776,
    0.38818405227688885,
    0.3524099267091125,
    0.4126753540584168,
    0.4300359584166539,
    0.4012954940671469,
    0.3621695115779107,
    0.422567955169285,
    0.3959926985392206,
    0.4715126604279207,
    0.4150995842991338,
    0.48311972574130524,
    0.49677483677342676,
    0.42678228204914714,
    0.4650761621361218,
    0.3862890639198727,
    0.46101539383063883,
    0.3938050612233229,
    0.4243336480117006,
    0.45600259412633737,
    0.4475566307776753,
    0.3790695998315319,
    0.4031014999440291,
    0.4059415658383689,
    0.4160433036328846,
    0.43547092343681737,
    0.4760808987336295,
    0.5022596597040148,
    0.4036184674374602,
    0.3597757197744315,
    0.3536148476158011,
    0.391960878195406,
    0.38141742070272955,
    0.4285503488924388,
    0.420710181335743,
    0.4563754441007006,
    0.3726681007186181,
    0.4154697791353282,
    0.39932000826060143,
    0.4364852857651907,
    0.4471404467827546,
    0.4987759325861936,
    0.4769555123547993,
    0.5143024202987265,
    0.4901879732582907,
    0.4557558609728791,
    0.44344059882266845,
    0.39547903945925017,
    0.40900955984592097,
    0.3827283050174796,
    0.38303227694764796,
    0.4442036919311242,
    0.4684229288492312,
    0.429682003714481,
    0.407678934792769,
    0.4543162173724075,
    0.3938599790015541,
    0.45910436714948827,
    0.4528284242493106,
    0.5217663770576761,
    0.3995368616196396,
    0.3923670894054108,
    0.33827547842194755,
    0.40953359030955416,
    0.34637006072231535,
    0.4305600543401018,
    0.36922542164168853,
    0.4469249665291303,
    0.3859803705407753,
    0.47409826495811347,
    0.39767874751326976,
    0.4796998528101583,
    0.42660526492390005,
    0.526668630955159,
    0.4331326030936915,
    0.5281567092636343,
    0.45146635520950945,
    0.3940335344565102,
    0.41217986005753254,
    0.4339580595205129,
    0.3871412742272673,
    0.4211983338708954,
    0.45866046805392463,
    0.5023783249821092,
    0.4116954790599342,
    0.4213490225126147,
    0.44201822613391395,
    0.4719467585019354,
    0.4397632965219739,
    0.485020483644143,
    0.5167420731665419,
    0.5582760862874901,
    0.3654725485001497,
    0.4287619852852753,
    0.39887175418236903,
    0.4531367416953493,
    0.41587908990533906,
    0.4773264484914699,
    0.4516431640501643,
    0.5014935016074971,
    0.42710490396254663,
    0.4988011352066912,
    0.44029806891302126,
    0.4980709152375112,
    0.4884443060876801,
    0.5633595718338791,
    0.5060762380103081,
    0.5674799870541856,
    0.4789270371564852,
    0.4311100776717573,
    0.4541213538505415,
    0.39669686523742237,
    0.41284756492285785,
    0.3693265085529199,
    0.39858002652768076,
    0.44936750558631067,
    0.4553292232231404,
    0.4046098714989929,
    0.41149724592440307,
    0.4502032378107299,
    0.3957425969461996,
    0.4437400767411321,
    0.4634078885215726,
    0.5131592833347126,
    0.37666740084323436,
    0.36196168161510384,
    0.34483139934656254,
    0.4047073885780136,
    0.3370887509155807,
    0.4010084695147364,
    0.37856902143871246,
    0.43713923494458445,
    0.3714406983952129,
    0.44181359372620027,
    0.410315576479324,
    0.47549987949330386,
    0.42118791725171467,
    0.4955529938826677,
    0.4472530962840456,
    0.5102252239521966,
    0.43971962479593746,
    0.3724893652502709,
    0.41812555697680903,
    0.43769665738838254,
    0.3892336052127505,
    0.4136757929585105,
    0.47296932770057265,
    0.5083555519482026,
    0.398448353239086,
    0.39934913431842933,
    0.44878915550847814,
    0.4711398938777708,
    0.4422100617542364,
    0.4702114916228303,
    0.529083337614475,
    0.5557374212295676,
    0.34720696957499003,
    0.39649138976875725,
    0.4067515549971856,
    0.44928597392426933,
    0.40808521893366917,
    0.44794983413333217,
    0.4636264936386738,
    0.49156624078916666,
    0.4119494900175112,
    0.4642280680711531,
    0.4587478311172776,
    0.5023600059357081,
    0.48450718562158296,
    0.5322702162192832,
    0.5296076170425853,
    0.5565791772942541,
    0.4341441603439963,
    0.39612937147937394,
    0.39791624567957573,
    0.4527333913802024,
    0.3459627954724121,
    0.4079659030112244,
    0.4251205213153949,
    0.4931026649670787,
    0.41489177699864743,
    0.4554959923503836,
    0.4609344750333361,
    0.5229824971628111,
    0.42688923237004633,
    0.49521107855776636,
    0.5015599479973082,
    0.5764462845075817,
    0.3507889223353393,
    0.4452003694863657,
    0.3892764431466602,
    0.48088254976327016,
    0.36258463758746834,
    0.4503589674947321,
    0.39672002126157824,
    0.47813081920903633,
    0.4320164439795129,
    0.5428558239760513,
    0.45620842693218494,
    0.563833340110169,
    0.4503905428034673,
    0.560749490658801,
    0.4641880175728036,
    0.5611338295822138,
    0.40357811217803075,
    0.41998403795045597,
    0.46936190298022923,
    0.5109573897102028,
    0.4195021652582533,
    0.45978682852137126,
    0.5184549547947965,
    0.5703597796800999,
    0.4421129731990444,
    0.48192329184567495,
    0.517379132953582,
    0.5553365508813254,
    0.49089781727519466,
    0.5318563601176306,
    0.5864458232873528,
    0.6364968331998968,
    0.41139255629287885,
    0.4942508016909994,
    0.46678211114639523,
    0.5440548916404384,
    0.4459964581938821,
    0.5033959072240134,
    0.5029009586369123,
    0.5447320750419812,
    0.4851722779583154,
    0.5859867435693628,
    0.5162448906582037,
    0.6087749582853994,
    0.5297597323556311,
    0.6134391408182346,
    0.5672590043622651,
    0.6265280640508389,
    0.5458193658971606,
    0.5001308129832015,
    0.5233245086736942,
    0.4576127911525501,
    0.42832320680200875,
    0.3983697746879573,
    0.42441622416754615,
    0.3821083712561147,
    0.4970146645901908,
    0.4517432089509919,
    0.46657549950151467,
    0.4060057344178279,
    0.40207813181053764,
    0.3666341411799416,
    0.38345405110777453,
    0.42577625340824865,
    0.5263363669765238,
    0.49113756312627765,
    0.45725539669330767,
    0.436574395189073,
    0.4039385811569474,
    0.40668511932343054,
    0.3948028647685018,
    0.4640543251256328,
    0.48692480431866836,
    0.45314321161873045,
    0.42940384010433263,
    0.5007415476304015,
    0.40547117156573015,
    0.4892964715854446,
    0.45530087642959827,
    0.5336647083296655,
    0.49728914075740555,
    0.42681365407441374,
    0.4805652727486726,
    0.3979289641265711,
    0.4051907970248689,
    0.3509367538692516,
    0.3989874334354588,
    0.42646610380851585,
    0.4327956780509124,
    0.3681573915615354,
    0.4101507977685512,
    0.4148781467191,
    0.35877468616048536,
    0.3818249375959905,
    0.4338187843354614,
    0.45559162299916417,
    0.4809182540781673,
    0.4247132394401085,
    0.4351908705687205,
    0.48197335037996236,
    0.39724843858966347,
    0.45451245379518546,
    0.46921662824865984,
    0.5183667256126644,
    0.42185571104842084,
    0.47434587507056675,
    0.4775354642106138,
    0.5278789215619124,
    0.455612069043535,
    0.5201334511542056,
    0.5204172550148319,
    0.576099930444593,
    0.4658611777637139,
    0.4398739236433012,
    0.43668914403058334,
    0.3914253512201569,
    0.3526956305183307,
    0.3366793221534137,
    0.34613927240289455,
    0.39876979815192093,
    0.43108259642872415,
    0.3998665245741954,
    0.3952854864424795,
    0.441568263161083,
    0.334442162383862,
    0.395747469874416,
    0.39667813449223405,
    0.45165699650476304,
    0.4554251549965304,
    0.44533774693228456,
    0.40743312528960607,
    0.49225054713444544,
    0.3555947964456479,
    0.4509208651334363,
    0.406889916025619,
    0.4957611364670743,
    0.42765207391856036,
    0.526907316753716,
    0.4737146274102096,
    0.572981324497147,
    0.43767955764286437,
    0.5487146987405062,
    0.47616690242822457,
    0.584662570756105,
    0.43099372170353567,
    0.38136789417911393,
    0.408435456872483,
    0.4302177052673545,
    0.337090511152727,
    0.3753217815612989,
    0.4156355559588108,
    0.45089496973393084,
    0.3816566927530397,
    0.39652894643029596,
    0.4341274937773733,
    0.4689890646213064,
    0.3767753167042811,
    0.42150209474271944,
    0.4549115675983111,
    0.4871791803494465,
    0.42048616731863675,
    0.4961387886881589,
    0.4830574846648051,
    0.5546925161047824,
    0.4314057370942547,
    0.5110550384184555,
    0.4968717713684949,
    0.5659208163815942,
    0.47712251954802326,
    0.5652673689043888,
    0.5354707631690948,
    0.6200257996677467,
    0.5012908627777828,
    0.5967393945876018,
    0.5576795254472081,
    0.6448325890912676,
    0.4760571741102519,
    0.4286902094868023,
    0.460168273740676,
    0.4041807119731957,
    0.3593792476909582,
    0.3279832213601915,
    0.37421329737206926,
    0.42309828744242894,
    0.4364609235494029,
    0.3878819028405423,
    0.4106291106180339,
    0.45177247015334265,
    0.3377638918935306,
    0.3842358458331064,
    0.4218570435710105,
    0.46598601029465503,
    0.45215039557371756,
    0.43144313973392867,
    0.4298972525237819,
    0.5074890487832198,
    0.353837938706201,
    0.4379164080970727,
    0.43725947214397215,
    0.5247013676318412,
    0.42836219640910345,
    0.5118176454873923,
    0.504176701960747,
    0.59534741105586,
    0.4373196521107775,
    0.5329438025751404,
    0.5155863301804459,
    0.6197691907445768,
    0.440886222518065,
    0.3730672656782571,
    0.42815182553095843,
    0.44914883379145376,
    0.3450314967496298,
    0.3711742729192129,
    0.44765533337940927,
    0.48130027842637924,
    0.38398039172465387,
    0.3866266409907088,
    0.4562837996947775,
    0.48128826656276474,
    0.38115152986700096,
    0.40919727025016767,
    0.48506590565776686,
    0.5087365153240132,
    0.41950131682720826,
    0.4797214343440457,
    0.5082508784709006,
    0.5695279292139401,
    0.4301935441188401,
    0.49507266883804635,
    0.5304198322755714,
    0.5994167296778009,
    0.47660340495114406,
    0.5447686886198795,
    0.5707232375210877,
    0.6448870130852256,
    0.4982728760812505,
    0.574661777764001,
    0.6053863705888143,
    0.6929529567737932,
    0.4155750611653838,
    0.3817964454826978,
    0.38994549674234147,
    0.4460164780319203,
    0.30123365979681177,
    0.3603639938632259,
    0.3858386322438889,
    0.4460994144765472,
    0.38313548881266074,
    0.4233139429773821,
    0.4483583529494205,
    0.5096590699023329,
    0.3622038277927693,
    0.42234655381027697,
    0.4428586600446603,
    0.5025196785175554,
    0.40308859086824783,
    0.5114253955070088,
    0.47383550451991385,
    0.587104873928579,
    0.3792873313585972,
    0.49627264775636754,
    0.45195082428403477,
    0.5757923840451334,
    0.48559260515672675,
    0.6115004607425607,
    0.5631629287818869,
    0.7065075548564013,
    0.47297988300679994,
    0.6162374582696999,
    0.5461675351587247,
    0.7114907704559933,
    0.38824506948473536,
    0.40596417518898364,
    0.4631226303761269,
    0.5053873509723423,
    0.3686808981910187,
    0.41056050590347987,
    0.47199567676400783,
    0.516847296086594,
    0.41132533759071527,
    0.4517902965688731,
    0.5119689127707139,
    0.5538800848650722,
    0.4167665758464032,
    0.45669812612477845,
    0.5195394066096508,
    0.5584530311640282,
    0.4778423954009864,
    0.5786779276099034,
    0.5707979609013878,
    0.6768602984965115,
    0.46977316854503876,
    0.5726858641043556,
    0.5692004371381915,
    0.6810880201120383,
    0.5508716033932504,
    0.6733797632183404,
    0.6538831441611382,
    0.7978735802021182,
    0.5543997561943206,
    0.6891220338073296,
    0.6681430087591869,
    0.8391460393495168,
    0.5232286075388449,
    0.4757275599367105,
    0.4766070668047651,
    0.41775565299788936,
    0.4247293408271585,
    0.3932986264150399,
    0.4127926385185251,
    0.4660451341013888,
    0.4650979421309963,
    0.42026738788727946,
    0.41452251642001775,
    0.46101491158824126,
    0.3805475227200457,
    0.44372455260915833,
    0.4558290427754456,
    0.5079252588804041,
    0.4293101474212344,
    0.4150575424954525,
    0.37506531006627036,
    0.43952330849011073,
    0.37181650188430765,
    0.4488947945846498,
    0.4063175502132031,
    0.4770195716426358,
    0.39051796595065214,
    0.4657916306312083,
    0.41504044346969393,
    0.4843505661910055,
    0.42560983838673483,
    0.5099748042960203,
    0.443607817457807,
    0.5168857590183524,
    0.47477298493848996,
    0.4018380347313256,
    0.4318405777199903,
    0.4522048229526425,
    0.3928160935480919,
    0.4266095528598396,
    0.47674480468176483,
    0.5091633923670491,
    0.4009062375587489,
    0.41142871014865834,
    0.45198371604744425,
    0.47361595651248484,
    0.4243987610378963,
    0.459983089064687,
    0.5103559254918956,
    0.5370643307098644,
    0.3931144845282798,
    0.4418696038187487,
    0.430666701377726,
    0.4699735401713656,
    0.43574529237846843,
    0.4862124377446418,
    0.47704064240426525,
    0.5135220168764302,
    0.42260289020044906,
    0.4748882001636723,
    0.45323009153745863,
    0.49425954668514316,
    0.475098853248928,
    0.5328765317967235,
    0.5059427257322394,
    0.5422163191465371,
    0.45564154390267164,
    0.42191126137615503,
    0.4075109092479802,
    0.46653257537244364,
    0.35439561646759293,
    0.42588684751760403,
    0.4318888692386473,
    0.49955556174323296,
    0.4110532480202791,
    0.46644622195597507,
    0.4552549427317404,
    0.5200108938797006,
    0.4113079223484123,
    0.4886237642986183,
    0.4827760324922869,
    0.5565075130384743,
    0.3885232121084058,
    0.48127294198176124,
    0.4119807908642256,
    0.49873502785789986,
    0.3952637116581458,
    0.49216780435826657,
    0.4212624317329442,
    0.5131233900417068,
    0.4445678863086843,
    0.5486358900772119,
    0.4529075043406472,
    0.5531023331016905,
    0.45958530764895233,
    0.5729411298757124,
    0.4601730878850628,
    0.5668751180627037,
    0.4176810668349504,
    0.4429136257118556,
    0.4751847808439777,
    0.5143110000977683,
    0.4193726005213035,
    0.46443762503259,
    0.5100932022346478,
    0.5552852595676147,
    0.4352965390987893,
    0.4835452234106843,
    0.5041319295471636,
    0.5429552934678022,
    0.4635327687245246,
    0.5111743201360449,
    0.5503871918606223,
    0.595277466772319,
    0.4472107101504497,
    0.5226067374542452,
    0.4809456622400144,
    0.5474283301995214,
    0.4706534895510767,
    0.5398130334320947,
    0.5104802822288563,
    0.566519310223596,
    0.4874504365693016,
    0.5756611967600568,
    0.5011962620376355,
    0.5780534568286204,
    0.5220755716971592,
    0.6110227997251668,
    0.5383616099027471,
    0.6090445136865243,
    0.46123049474883915,
    0.4131151831411411,
    0.43012096870038097,
    0.4850593305402923,
    0.36412551686352546,
    0.4220024901301527,
    0.4541449606206393,
    0.5166015403071642,
    0.4120632646379633,
    0.45517698404111084,
    0.4745705686551148,
    0.5287311777462543,
    0.41713450253640577,
    0.47419701785453733,
    0.4952780789236881,
    0.5520821292066141,
    0.382302180202658,
    0.4589657054721927,
    0.4283654954790204,
    0.5043105650329276,
    0.38719853043709834,
    0.46822413222488274,
    0.4349709604852091,
    0.514609769747837,
    0.4375514788505402,
    0.5216887888700172,
    0.47755424491859244,
    0.5624992217976293,
    0.44807570201287117,
    0.539715450570051,
    0.4723024046539569,
    0.5518512480720807,
    0.42088927784056807,
    0.4375466830472945,
    0.4965528064883073,
    0.5312292082043232,
    0.42877458290710924,
    0.46305938622296416,
    0.531975661011903,
    0.5755794283141361,
    0.43840143129838516,
    0.4690968927472595,
    0.524636946428351,
    0.5542046625682211,
    0.4667489175517374,
    0.49741067203806333,
    0.5656509160205254,
    0.5990565958419838,
    0.4401247776850756,
    0.4947836690369683,
    0.4980108820920861,
    0.5497649860331858,
    0.46175342887770693,
    0.5119817737823171,
    0.5245352586305709,
    0.5639012536166162,
    0.47925200106374954,
    0.5425465160541193,
    0.5323914747152833,
    0.5940395532996787,
    0.5103080060344343,
    0.573092029262648,
    0.559690105823804,
    0.597169272244522,
    0.4064488625662014,
    0.4661669318053655,
    0.4767003189956702,
    0.5478492158070718,
    0.38921262341517315,
    0.46147259200068186,
    0.48010606028244207,
    0.5631578630295633,
    0.457963941402227,
    0.5302854118581217,
    0.5300431978042552,
    0.6081842382607114,
    0.45328005839687857,
    0.5295064503058972,
    0.533097604292069,
    0.6213258461518244,
    0.43430251427847494,
    0.5492417225690187,
    0.4764811069037323,
    0.5949427241624466,
    0.4086187784223612,
    0.5178031347127711,
    0.450188863011186,
    0.5594622978455341,
    0.5026296489542866,
    0.6401524578828087,
    0.5300323930381955,
    0.6778440279435323,
    0.48153291893815686,
    0.6203204018740438,
    0.48763391822640456,
    0.6182554975676425,
    0.4636692670558605,
    0.510079880225937,
    0.5594153495420237,
    0.6140184858000933,
    0.46492463769946984,
    0.5104977227073105,
    0.5792515131595224,
    0.6451938382854495,
    0.509029890956362,
    0.5597935411250013,
    0.5971798918915034,
    0.6543357206396183,
    0.516800692694522,
    0.5646980851682162,
    0.6278062747093265,
    0.6967184888941542,
    0.5059881730064368,
    0.6086100844195756,
    0.5672379318092565,
    0.6752853628222248,
    0.499370406694903,
    0.5771733394593499,
    0.56995715134067,
    0.6412737353519217,
    0.5620127480411208,
    0.6965640042632552,
    0.6059378158821024,
    0.7578127393323573,
    0.5653963056096138,
    0.6877319921507783,
    0.6100301810017172,
    0.7309148635773642,
    0.5029086554855435,
    0.4556817724309495,
    0.48960164470255035,
    0.4258332177834712,
    0.4237346962897949,
    0.38273828962798484,
    0.420449208206545,
    0.37043185108510013,
    0.4885491318260448,
    0.4363382469609885,
    0.45246180543820835,
    0.3907751273597947,
    0.4142290954655865,
    0.3681582459174797,
    0.3887631819979843,
    0.42835769234705867,
    0.49567715685440333,
    0.4554089134154894,
    0.43589129244445396,
    0.4059998979783075,
    0.38849025202324217,
    0.3812823443624868,
    0.3797666133627162,
    0.4414979104215764,
    0.48437081017506683,
    0.43697787373405655,
    0.41962162566750305,
    0.48062274033234836,
    0.4022197650492633,
    0.47746738263356847,
    0.4537387928648898,
    0.5270545921572856,
    0.47035523046582933,
    0.39648676446727305,
    0.45889239121981995,
    0.3767394141145914,
    0.4121766567388207,
    0.3458150419374354,
    0.4041283296975808,
    0.4250327145975868,
    0.4372411579936078,
    0.3606842325566472,
    0.40702691005598685,
    0.4007898349028149,
    0.38067226895145184,
    0.3874149765548899,
    0.45313491052723315,
    0.46529824554012017,
    0.4600377017953616,
    0.3996371380543502,
    0.417654183475149,
    0.45613544086410707,
    0.38663187165887686,
    0.43513442721837087,
    0.4646722379760089,
    0.5071959721663195,
    0.4306262097974191,
    0.46606115865572595,
    0.47863094016695046,
    0.5156611964057164,
    0.46516816762644503,
    0.5165124190658688,
    0.5352425387414718,
    0.5799506210878914,
    0.43910984195171215,
    0.4058180544163469,
    0.4081469174476135,
    0.3641730870907002,
    0.3445420813663397,
    0.31899511496725735,
    0.33439340620255464,
    0.3820531919558688,
    0.43061410698688957,
    0.3905551477357015,
    0.3844540209320473,
    0.4250855042324857,
    0.3397306991490543,
    0.39124366472675814,
    0.39701671858178544,
    0.4512195827541825,
    0.42980995036796543,
    0.40808389237365394,
    0.3792356593668807,
    0.45049914121035456,
    0.3394170219166949,
    0.4217242965704014,
    0.3900254342241889,
    0.46804493079791176,
    0.4210711875231647,
    0.5063092168332257,
    0.4564874874400415,
    0.5427172138314694,
    0.4335082622479319,
    0.5344159002946589,
    0.4718619784189145,
    0.5738058505474756,
    0.41985433690067236,
    0.3602489992779873,
    0.39305810831777227,
    0.4075609191736518,
    0.3430614653859975,
    0.36585514323375323,
    0.4186076446890461,
    0.44745611642203886,
    0.3947650446105831,
    0.392962824629785,
    0.43253224226104264,
    0.45784612748577685,
    0.39527847725230414,
    0.42462417325178936,
    0.472468769294342,
    0.4957353437675324,
    0.4054258152385532,
    0.4608437602228791,
    0.4599606286921018,
    0.5156796251861245,
    0.42227830241542047,
    0.4845272540483521,
    0.49182482768742614,
    0.547094725025885,
    0.48331598404379683,
    0.5520545124365703,
    0.5312767234314916,
    0.5954254179698594,
    0.5118262524424747,
    0.5861814791910772,
    0.5715455284622943,
    0.6407646592006533,
    0.42196055094749974,
    0.37514894809278604,
    0.4174925675671151,
    0.3624947635599396,
    0.3380687046510964,
    0.300422137389958,
    0.3526992688448171,
    0.3924320069608988,
    0.40927754470797173,
    0.35967729755061484,
    0.3829396147545863,
    0.4144264867502165,
    0.33238981341652624,
    0.36827759234382984,
    0.4115254447500996,
    0.451612598396051,
    0.4141592159591622,
    0.38448494645694364,
    0.39345951818284725,
    0.4559510664746046,
    0.32410640359309373,
    0.3939798720526526,
    0.40395201780884704,
    0.47552267962104716,
    0.4056248825844671,
    0.4751886232732254,
    0.4694770400641961,
    0.5439520783362534,
    0.41691913063417313,
    0.4999691018105044,
    0.48934076254188913,
    0.5799669425881389,
    0.403455663023905,
    0.3318899753735853,
    0.3980510899120767,
    0.4060041158838447,
    0.3374162582947703,
    0.3469916200382362,
    0.4383614468714857,
    0.4588139208614526,
    0.37248772006385544,
    0.3589925330390473,
    0.4324442059882445,
    0.44367367399493096,
    0.3865216186570073,
    0.39893713687730636,
    0.48970275951454584,
    0.49909773908182165,
    0.3916153993687257,
    0.43161605897268157,
    0.47406666338873527,
    0.5160484993578004,
    0.40670172036858426,
    0.45435371927444057,
    0.5080633073726348,
    0.5562147548527161,
    0.4645358317481488,
    0.5111191486464985,
    0.5453712227844743,
    0.5933274073797561,
    0.49186570120131873,
    0.5471929162993054,
    0.5956281956372291,
    0.657019109153076,
    0.37202352844049236,
    0.3351930825353043,
    0.3501335657584026,
    0.394409839109025,
    0.2776911616882712,
    0.32230242249002367,
    0.35514192413677,
    0.405312349623745,
    0.36158295841073596,
    0.3914116329145833,
    0.4115042704636002,
    0.4663176486590364,
    0.34763976738259444,
    0.3999094989159104,
    0.42249382152339005,
    0.47949452465207326,
    0.3669290013177884,
    0.45692352007716724,
    0.4274996187563179,
    0.5219393052672658,
    0.350086780063624,
    0.4494818413514136,
    0.41634583116507234,
    0.5218261227526575,
    0.45968003113664796,
    0.56869957366237,
    0.517888653330659,
    0.6429551640714907,
    0.4523573281065053,
    0.5820234965528748,
    0.5157258719241492,
    0.6688036999578736,
    0.3616710308696568,
    0.36284587101775106,
    0.42746034202794025,
    0.45603160224834527,
    0.35676162287122865,
    0.37929234138292534,
    0.4573132345895843,
    0.4860957503242508,
    0.4014853291948427,
    0.4236015911347176,
    0.4853869135936302,
    0.5106674139821884,
    0.42049619295531254,
    0.43989656067793564,
    0.517982931283359,
    0.5408126321706871,
    0.44633365465238223,
    0.5209807628387909,
    0.5288715548016142,
    0.6062697408485325,
    0.448350809530924,
    0.5214984433369154,
    0.5457134410965381,
    0.6241017815085177,
    0.5387235948996065,
    0.6311019410330672,
    0.6197870586246712,
    0.7285027102136827,
    0.5500121236017829,
    0.6508056871522495,
    0.6558393451607721,
    0.7883857242642198,
    0.4902610549522601,
    0.43620797786689136,
    0.4458961295529657,
    0.37654273011145545,
    0.42497223844035226,
    0.3790558144797469,
    0.40024011769002044,
    0.4369132863187869,
    0.4557827794725728,
    0.4007160292294426,
    0.40159375054000024,
    0.43028101188399753,
    0.39351287252793693,
    0.443959887991476,
    0.4592221408129387,
    0.49851679411618394,
    0.4043881946998743,
    0.37908110394371675,
    0.35256845665061604,
    0.39795443785210466,
    0.3568183202515966,
    0.42275092104184536,
    0.3841788262151787,
    0.43604899214266746,
    0.3891844921779581,
    0.45143211050784193,
    0.412256136558159,
    0.4629787741335706,
    0.43048804178232686,
    0.5060027863207638,
    0.44362219674047054,
    0.5027212712864867,
    0.45471636885352557,
    0.3782560023985611,
    0.4126150696300976,
    0.4195691715864299,
    0.40394753198487043,
    0.4283658932833764,
    0.47833928923737806,
    0.4983921018392493,
    0.3996413472051367,
    0.3962606076324846,
    0.4406587451836533,
    0.44779744227006235,
    0.44530358147669397,
    0.47143838229508633,
    0.5273970479615353,
    0.5409321259986717,
    0.3741949565051226,
    0.4168643793217972,
    0.4154559492426861,
    0.4429650394228127,
    0.43071655722241703,
    0.4773697617732246,
    0.4698734943996222,
    0.4955220915167007,
    0.43049955332197243,
    0.4723077312136767,
    0.4601022329183966,
    0.48566649099747694,
    0.4927108113927748,
    0.5428894375432126,
    0.5238733591195113,
    0.5486156289566648,
    0.4341121214962688,
    0.38777437619228755,
    0.3796343107620712,
    0.4221954414156287,
    0.3509814249365602,
    0.40577684942910847,
    0.41536857475966615,
    0.46427055452655036,
    0.40818866157615963,
    0.4456805296657114,
    0.4403721490122243,
    0.48991388836048744,
    0.4207782623312916,
    0.48515135798591186,
    0.4839974255990067,
    0.5448333718651529,
    0.36231113402445597,
    0.43253365230375307,
    0.3820509516467191,
    0.4405893075196432,
    0.381823145201783,
    0.4577997500607865,
    0.3996271442458893,
    0.46228121563815405,
    0.43969721488162367,
    0.523137512340564,
    0.44216830553138187,
    0.5145657057791291,
    0.46463034697145394,
    0.5624886051802906,
    0.4611442079808912,
    0.545208239200953,
    0.4086960597099751,
    0.4179403316420197,
    0.4560909251901492,
    0.4803857634938995,
    0.4301078527774266,
    0.4630298285410673,
    0.5112218553748196,
    0.5420089282308339,
    0.4397042693801435,
    0.4706306685753809,
    0.4975282551781444,
    0.5183953803570451,
    0.48597646750780665,
    0.5199928342699575,
    0.5679686056042681,
    0.5992425721157225,
    0.4267546899043646,
    0.4814875050963458,
    0.46083687221328046,
    0.49977362019545146,
    0.468359843527423,
    0.5190136609502072,
    0.5060608107456491,
    0.5338186006483129,
    0.494263632311538,
    0.5597767267630784,
    0.5024033264654023,
    0.547626432057484,
    0.5425386030776129,
    0.6110385616140874,
    0.5614142021544541,
    0.6043010225894454,
    0.4137752380545106,
    0.3608293569658798,
    0.38461921940781013,
    0.4176606141610283,
    0.34556389840405605,
    0.38890633505824584,
    0.42275186252598634,
    0.4615693650604804,
    0.3851676052656409,
    0.41254120552674073,
    0.4376103043244195,
    0.4714216415953436,
    0.4113100478123589,
    0.45784781542075,
    0.4834461422708923,
    0.5231479399263398,
    0.34087055882352846,
    0.3943203175058321,
    0.3824170990689784,
    0.425618982482053,
    0.35874497885394196,
    0.41889864067557403,
    0.392064189859064,
    0.43696647386296056,
    0.41297081932324387,
    0.4731344616420236,
    0.4436851384357775,
    0.4905062721314891,
    0.4386533974439125,
    0.5117468820640411,
    0.45168977391166193,
    0.49461088377959594,
    0.3877951842350108,
    0.38971400029512054,
    0.45617030459447067,
    0.4705725862343187,
    0.42372099672020624,
    0.44646235563518655,
    0.5174573138253413,
    0.5393818426151331,
    0.4153068471074832,
    0.430501090619894,
    0.4918001769322902,
    0.49777526567866465,
    0.4742854963457283,
    0.49248484026011846,
    0.5697432597076407,
    0.5824027578834589,
    0.4025445459751028,
    0.4373897521701885,
    0.4591706604513213,
    0.4795559224982909,
    0.4465461611528381,
    0.4818659736419631,
    0.5003787875082178,
    0.5080661429519729,
    0.46249981166050624,
    0.500660866493274,
    0.5052298493427767,
    0.5239888580129022,
    0.5163585414404281,
    0.5608872913119254,
    0.5599116344928812,
    0.5541481608830903,
    0.3664011606583041,
    0.40228127334859004,
    0.42262070237111865,
    0.4665251503061868,
    0.36711864554081225,
    0.4171330871254125,
    0.44052706886161536,
    0.49313859430867796,
    0.4270805697114023,
    0.47962622448473136,
    0.48624670953139826,
    0.5401741273508013,
    0.44374614393496115,
    0.504135271881579,
    0.5147764521536177,
    0.5819133407760355,
    0.3866771530136787,
    0.4626993718872403,
    0.4169696968190114,
    0.4848799823303754,
    0.38197792113721596,
    0.45241902384772215,
    0.4055973725960956,
    0.4568641633305184,
    0.469154462311412,
    0.5669992090640921,
    0.4801170671694836,
    0.5676068704472963,
    0.47055198430649864,
    0.5713254837868852,
    0.4625508565030919,
    0.5207321936974609,
    0.42877756391224137,
    0.45340836106364685,
    0.513857504090263,
    0.5399985741400302,
    0.45959815626042577,
    0.48509282518687635,
    0.5601667419673905,
    0.5960350914278819,
    0.48663691829758565,
    0.5135430356335398,
    0.5591367533491551,
    0.5847166783130661,
    0.523429393123724,
    0.5514566976093705,
    0.6281760151228704,
    0.6699651688966157,
    0.46384713794692317,
    0.5243712213708837,
    0.5174683622150579,
    0.5654874454212284,
    0.48769188617483417,
    0.5154149057896611,
    0.5470093030187946,
    0.53164921076427,
    0.5374768329872393,
    0.6242809673806682,
    0.5622194522111054,
    0.6330166760002359,
    0.5726097457766082,
    0.6362719494400477,
    0.6096052019773043,
    0.5924702807224311,
    0.482724134462701,
    0.4357415556226216,
    0.45689586654476827,
    0.3973407694448979,
    0.3654988383794088,
    0.33329740666360264,
    0.3752103508036394,
    0.41460878648807026,
    0.44175901720786864,
    0.3930733392590741,
    0.4033545743690595,
    0.44235457972746733,
    0.34154952329321087,
    0.39029521109092424,
    0.4177678266565209,
    0.4550712421762308,
    0.4667040522181403,
    0.4394336657308704,
    0.4280037974030485,
    0.49391510458578664,
    0.36656798627328463,
    0.44260446721370833,
    0.4354880177604027,
    0.5058788202007748,
    0.44142709506432454,
    0.516085861206446,
    0.4875760142786551,
    0.5602763971858454,
    0.4485126014994769,
    0.5338030352312212,
    0.4977908167025267,
    0.5789163014695813,
    0.4494652412965552,
    0.37609296346006216,
    0.4250727610845059,
    0.43874783278960944,
    0.3516228495277712,
    0.3756725972115065,
    0.4479078350006975,
    0.4670235597950624,
    0.3904768173441158,
    0.3899151175312911,
    0.45012906703714206,
    0.46620235112212055,
    0.38971334829697873,
    0.41200595284138103,
    0.4811891872715462,
    0.4907166993767729,
    0.434489982417725,
    0.48650635597917863,
    0.503882488260759,
    0.5502413893091412,
    0.4451090211702395,
    0.5017754642359021,
    0.5263570006924105,
    0.5752949075605331,
    0.4906958025265472,
    0.5452440293322752,
    0.5512183112074064,
    0.6008344985119985,
    0.5110085145506166,
    0.5742906850254662,
    0.583213571322383,
    0.6393770997503758,
    0.4161238493529641,
    0.38133709001366334,
    0.37576939921284,
    0.43024294993697154,
    0.30031635505537213,
    0.35341142459610886,
    0.36962122280023857,
    0.4142161188569693,
    0.38171144346084784,
    0.4239979536500846,
    0.424500003131036,
    0.481756707205724,
    0.358500495447936,
    0.41272566671634026,
    0.4130008159757256,
    0.45665843429100544,
    0.4083342043584167,
    0.4970152279241239,
    0.45521706204292384,
    0.540989871516041,
    0.3869812617634805,
    0.4774163388589181,
    0.4352108831430844,
    0.5187344493879475,
    0.48973606926657476,
    0.5898582062685808,
    0.5241047458478258,
    0.6273911825124432,
    0.4777900367168653,
    0.5867228747326825,
    0.5044615271928419,
    0.6110756000069473,
    0.3932960544144622,
    0.4093808488111549,
    0.4528964458647064,
    0.48665548573935247,
    0.3702471542011702,
    0.40210187840914874,
    0.4530506954566631,
    0.47518951939950665,
    0.41600401288248023,
    0.4504490318324164,
    0.4890447856547184,
    0.5199210049468702,
    0.4145541947657805,
    0.4410587870294891,
    0.48533989568882846,
    0.49759733933747824,
    0.4870925036319999,
    0.5624231917078004,
    0.5510710129826588,
    0.6231330785223934,
    0.47953048665321835,
    0.5511728319465763,
    0.5466234226924322,
    0.6071617883393237,
    0.556879289755834,
    0.6440298199611425,
    0.6100900942503034,
    0.6997807915888398,
    0.5590142233617107,
    0.6489837169804035,
    0.6135008700229203,
    0.6973592796599895,
    0.40473638886132884,
    0.3594785043511572,
    0.3905655262641462,
    0.4383949005433241,
    0.2968639027460818,
    0.3408273853412417,
    0.3964861034493031,
    0.44112744824421096,
    0.37064564281657825,
    0.40219488645120943,
    0.4368719457572922,
    0.4836211467342864,
    0.35318840450829775,
    0.3961501108303311,
    0.4387304621369053,
    0.4781808538507509,
    0.40358337056286536,
    0.4813766158696128,
    0.4804777588197617,
    0.5620275229948264,
    0.37576642525499204,
    0.46110230753333725,
    0.46373278100695636,
    0.5549468096026048,
    0.48468627193965613,
    0.5712368118193673,
    0.5555313179101182,
    0.6540232486391117,
    0.4655620085134953,
    0.5657085515375747,
    0.5420475889422783,
    0.657147485180923,
    0.38122620298751436,
    0.38412240807576664,
    0.4648945358349919,
    0.48853333747065913,
    0.36881268754636515,
    0.38887322896306636,
    0.4842397910117844,
    0.5072146209690908,
    0.40353694224154946,
    0.420069890222116,
    0.5009398836285776,
    0.5169554220914261,
    0.40856140570611527,
    0.4217487483179991,
    0.5181053776934361,
    0.5272008510816123,
    0.48038934393870897,
    0.5365679339029625,
    0.5743653448883517,
    0.6344451107943564,
    0.46773797212786405,
    0.5308691623968813,
    0.5792733843638534,
    0.6504216579954167,
    0.5470961660465867,
    0.6119700350225331,
    0.6444664429390302,
    0.7234530777311016,
    0.5426143093972068,
    0.6207122219095154,
    0.6634636308258297,
    0.7687011923881569,
    0.3535319723599999,
    0.39612018008061156,
    0.4192133739648435,
    0.478613577334655,
    0.31532491723280587,
    0.3630931514020869,
    0.3928385638784806,
    0.4437557132587886,
    0.4009954607344552,
    0.4560139652608472,
    0.47283436147871255,
    0.5354689245222461,
    0.372927277727921,
    0.4207512101235178,
    0.43862319282454965,
    0.4856865644741128,
    0.45009428710266136,
    0.5599059824371886,
    0.5176212619639805,
    0.6389972348220876,
    0.398083522237166,
    0.513123329556169,
    0.46543922781881975,
    0.5922274243907987,
    0.5436935216365988,
    0.6776891322654871,
    0.611472184559948,
    0.7785630029019983,
    0.5004854125318374,
    0.651983080710174,
    0.560457635545784,
    0.7542159737348952,
    0.4142971295427815,
    0.4444312299550292,
    0.5112158417335281,
    0.5491358825718294,
    0.3972248633477579,
    0.4195395966871794,
    0.49683645254476694,
    0.5241921123486931,
    0.4624774038696092,
    0.4901221154922193,
    0.5563267701993347,
    0.5922953150976372,
    0.4395865387297594,
    0.4557195079403484,
    0.534901620455839,
    0.548771729884305,
    0.5454384325979458,
    0.6428534034595338,
    0.6419593502298869,
    0.7566412114944958,
    0.5109561844977301,
    0.6066595458759485,
    0.6158583120685271,
    0.7328306009669142,
    0.6333671711918686,
    0.7621702570833518,
    0.7420733995144623,
    0.9271665704770837,
    0.6082051627138323,
    0.7531110942265463,
    0.7369298387336178,
    1.0,
    0.4631144226725887,
    0.411869208431712,
    0.42098718976588406,
    0.46129962870499297,
    0.37332707221041583,
    0.4282104192607084,
    0.4541920569919609,
    0.4961077485047911,
    0.4090999053613431,
    0.4519345902305329,
    0.46551982211489534,
    0.5060197685833359,
    0.4178614266997503,
    0.4741081683676876,
    0.49625757990161773,
    0.5365153210602608,
    0.3996432746822007,
    0.4711355505984532,
    0.4293076419537571,
    0.48921355775030523,
    0.4118028825292313,
    0.4899480674040746,
    0.4430100636061541,
    0.5073439406262373,
    0.45021644093847724,
    0.5261510284832402,
    0.4718523906523254,
    0.5366287915717645,
    0.4660555291393112,
    0.5533191147057175,
    0.4777935158269464,
    0.5426303555190137,
    0.42790204168599755,
    0.44059843313324293,
    0.49074691024940303,
    0.5072811414936071,
    0.44617021326313144,
    0.47528569122572534,
    0.5372062693865353,
    0.5576831029009466,
    0.4398975978191116,
    0.4647704535976223,
    0.517355814641266,
    0.5279835543160891,
    0.47386650151347603,
    0.49951684238247496,
    0.5711883773294174,
    0.583327954206183,
    0.4618677982698475,
    0.5109621888089187,
    0.5005073540664997,
    0.5352225634720059,
    0.4927082009741534,
    0.545720194437061,
    0.5361472051960734,
    0.565170979984779,
    0.494040703072371,
    0.5462837894279589,
    0.5260011576594108,
    0.5614939135189712,
    0.531377555745316,
    0.591912479595148,
    0.5661741999491078,
    0.5900935151395602,
    0.40259339745054057,
    0.45777872810604797,
    0.4543850279673852,
    0.5083568979197037,
    0.39383219605233655,
    0.453200687128899,
    0.4643971976392311,
    0.5164607667964953,
    0.4498149723289752,
    0.5151923182713097,
    0.5032931411998529,
    0.5643071007220138,
    0.4467923215586026,
    0.5109337147982954,
    0.5127895632687522,
    0.5708699477943749,
    0.44257928032524996,
    0.5310362607492487,
    0.4601953114068757,
    0.5378264210803388,
    0.4330373908785759,
    0.5208345497776241,
    0.4502149556062507,
    0.5226474834405344,
    0.5057199263685966,
    0.6084355764396824,
    0.5035756156970492,
    0.5989176573445608,
    0.5008880536796411,
    0.6091038790358146,
    0.4842907458112646,
    0.5703187436342726,
    0.4692537241228289,
    0.507115052375613,
    0.5423199649830118,
    0.5755059182423068,
    0.47743503650318436,
    0.508596914930809,
    0.5660907052657024,
    0.595384354452761,
    0.5046031706480008,
    0.5442411519753961,
    0.5726538662945361,
    0.6055381528106825,
    0.5137237213248318,
    0.5447301021749891,
    0.606510817499386,
    0.6341309571378521,
    0.5209769046256107,
    0.5924496724865025,
    0.5541806204588917,
    0.6124828834761109,
    0.5315817775063052,
    0.5906084941079911,
    0.571654783096642,
    0.6029413718461463,
    0.5685245250077807,
    0.6567261320357791,
    0.5794701680908322,
    0.6542931453808808,
    0.587576756434148,
    0.6715362893153637,
    0.603573986080302,
    0.6492767158723584,
    0.39003654415634126,
    0.4383916178588542,
    0.46705786911957464,
    0.5141188675745918,
    0.38657675194107777,
    0.4386053316110234,
    0.4768980078506286,
    0.5278404645304119,
    0.43698685124425923,
    0.4882510036503376,
    0.5113578396353765,
    0.5583200571847555,
    0.4325427264624037,
    0.4837248330603028,
    0.5141480187506049,
    0.5593935610573979,
    0.4265175482456091,
    0.49930929099720356,
    0.4690095189789047,
    0.536587929039103,
    0.40649130546132517,
    0.48644247508406085,
    0.4455707521583044,
    0.5145349640645877,
    0.482685581900068,
    0.5648188808014861,
    0.5154178418867196,
    0.5908689055771376,
    0.46216458926799203,
    0.5564873650039526,
    0.46878106141194614,
    0.5239491070531134,
    0.4555725514973055,
    0.47886819445102513,
    0.5483513572713321,
    0.5722168791615434,
    0.4687815487003167,
    0.4935409036466604,
    0.5790750426000911,
    0.6100470552698372,
    0.48635364164969863,
    0.5074087134139509,
    0.577368453244626,
    0.5944799452364133,
    0.4975932985000474,
    0.5160846890299673,
    0.612585825257095,
    0.6307698029374694,
    0.49932122668030937,
    0.5468333446752515,
    0.5581952820974689,
    0.5967548373705374,
    0.5024022108352196,
    0.5511236906534507,
    0.5666015543233385,
    0.5876605743738711,
    0.5389682999737375,
    0.5967553661367669,
    0.5927302970425232,
    0.6407194469947212,
    0.5454138244568625,
    0.6108121344502979,
    0.5958874076167362,
    0.5870863525297593,
    0.4374211135105809,
    0.4980586056633509,
    0.5097772029241706,
    0.573168945824439,
    0.40899911625671287,
    0.46837039466942937,
    0.49290800811339625,
    0.5588568692984561,
    0.4971500332324255,
    0.5639356148651518,
    0.5639071685727899,
    0.639374948857729,
    0.4656325161182853,
    0.5293789413016505,
    0.5402980226737482,
    0.6143409788479798,
    0.4768464702258369,
    0.5798452198234767,
    0.5115855936704877,
    0.6134855810844888,
    0.4249595667226649,
    0.515377729661862,
    0.4497219145590881,
    0.5180040656796931,
    0.5497406593459307,
    0.6831420634880347,
    0.5633846822449544,
    0.7056637410877886,
    0.4960851326301255,
    0.6247678485824153,
    0.4607986288976995,
    0.5042165019563821,
    0.5207960610094358,
    0.5572927046623294,
    0.6169634109310765,
    0.6640619842919175,
    0.5076094038691741,
    0.5363478291188626,
    0.6258957133427835,
    0.6774021968884569,
    0.5658861064545657,
    0.6075839428188781,
    0.6590746473440917,
    0.7144798755319897,
    0.5498138667780608,
    0.5788676666429087,
    0.6786776962684692,
    0.7450697311100155,
    0.5728737472843966,
    0.6633689676384559,
    0.638265585698706,
    0.734639896008539,
    0.5478285196120064,
    0.5963212271314844,
    0.6242376036070526,
    0.6271641140996208,
    0.6362049827728645,
    0.7750990398257395,
    0.6856446325081137,
    0.8755410999772357,
    0.618011436766738,
    0.7375968545759353,
    0.6703715937922362,
    2.0
  ]
}

{
  "name": "qaoa_p1_probabilities",
  "dtype": "float64",
  "shape": [
    8192
  ],
  "data": [
    2.9983646697806546e-05,
    4.922555141127783e-05,
    3.0892846892171214e-05,
    1.2119864391494844e-05,
    3.145638121435265e-05,
    8.561339423846914e-06,
    1.3076060012819587e-06,
    2.24070135557483e-05,
    4.112477460361168e-05,
    1.6230697789806085e-05,
    1.0240341412932307e-05,
    2.1988344565815025e-05,
    6.147058081557955e-06,
    1.8858631699194745e-05,
    1.6382623306437734e-05,
    8.888540362216533e-05,
    2.4974600407444464e-05,
    1.6533765928361523e-06,
    3.1938232464606827e-06,
    2.951787176558484e-05,
    1.3735373979621122e-07,
    2.7624627147364292e-05,
    3.099998458334439e-05,
    8.758045293702764e-05,
    2.0644348261197527e-06,
    1.9004547899227666e-05,
    2.012951692330392e-05,
    0.00010408710329817432,
    2.1413483623788853e-05,
    7.27215309676045e-05,
    7.26663642860831e-05,
    8.616602623714226e-05,
    5.7689254341665306e-05,
    4.705910657865001e-05,
    1.0060269594376203e-05,
    3.278676571056705e-05,
    9.441648362511718e-06,
    2.863807242810691e-05,
    1.69499801863885e-05,
    0.00010210074533206621,
    3.156763658916081e-05,
    5.334406363569014e-05,
    1.859133141924201e-05,
    0.00015684784499216966,
    1.6419894959963336e-05,
    0.000120773564228623,
    7.909102888508103e-05,
    0.00015020178025994488,
    5.2828065677997976e-06,
    2.6157113977287915e-05,
    2.1013662213362366e-05,
    0.0001304670961402239,
    2.2965112384124946e-05,
    9.650829183457813e-05,
    7.463538666340325e-05,
    0.00010718816648539668,
    1.7996648415776447e-05,
    0.0001141997390964192,
    0.0001050081270243082,
    0.00019614080277618526,
    7.869234904640328e-05,
    0.00011274534776140782,
    8.74836452859572e-05,
    0.00012294861361145215,
    5.711614534399666e-05,
    1.8007610701354242e-05,
    1.2339724522385e-05,
    2.6870006437585076e-05,
    1.798979466401833e-05,
    2.9194971028986858e-05,
    2.4406640720621666e-05,
    0.00011249644287512309,
    1.7591247285198257e-05,
    2.1764060505131586e-05,
    1.92407836658653e-05,
    0.00011117921363458391,
    1.9596747885325803e-05,
    9.822065891478189e-05,
    9.318029105593567e-05,
    0.00013065409159479613,
    3.032160808696866e-06,
    2.5850677575805862e-05,
    2.8508985326652727e-05,
    0.00011343445903016785,
    3.0156743142997945e-05,
    9.022134336654997e-05,
    0.0001044131145567807,
    0.00011604852673794484,
    1.9568759499693615e-05,
    8.054716518032376e-05,
    9.727726498017745e-05,
    0.00011975530297127771,
    8.091491063059135e-05,
    7.867923849720736e-05,
    0.00010707110220628626,
    0.00010339287066794712,
    3.327892023536444e-05,
    4.389714502318537e-05,
    2.1271097296062873e-05,
    0.00013844695748000055,
    2.418318972941758e-05,
    0.00012861759544707344,
    9.261469500006991e-05,
    0.00014502548731131013,
    2.8045976857641496e-05,
    0.00014404297545637717,
    0.00010589359251715665,
    0.00022121224368319006,
    0.00010146366403798545,
    0.00016689200418828974,
    0.0001182809309131694,
    0.00017840759887517675,
    2.086516749645697e-05,
    0.00010926665059494278,
    0.0001071069282559574,
    0.00016046257849742742,
    9.377674122384316e-05,
    0.00010906776058340221,
    0.00010443615324832748,
    0.00012675308361443768,
    8.974114175728699e-05,
    0.00012116104175383688,
    0.00013824284835998787,
    0.00017610733796405981,
    9.870460959874565e-05,
    0.00010524557122177424,
    0.0001141757436052039,
    9.10927773211443e-05,
    4.965964224062017e-05,
    2.3496147570180126e-05,
    5.526660204909257e-06,
    2.8709308544369866e-05,
    1.1125844514879385e-05,
    3.475556007646342e-05,
    2.2372010953394633e-05,
    0.0001080189802954857,
    1.5213296195545482e-05,
    3.00811628102459e-05,
    1.8343464384350036e-05,
    0.00011416811642551342,
    2.0607329945801025e-05,
    0.00011406085431746072,
    7.990054191019692e-05,
    0.00012308643929054543,
    3.542355718177583e-06,
    3.121314228319121e-05,
    2.8643321431661625e-05,
    0.00012052423571913677,
    3.278918875966061e-05,
    0.00010889486663829575,
    9.263561049805186e-05,
    0.00011112223748196538,
    2.0023112203401272e-05,
    9.843558668706568e-05,
    9.608209529826419e-05,
    0.0001232806822140278,
    8.624421994909729e-05,
    9.982124804218288e-05,
    8.584632487225265e-05,
    9.490484561397755e-05,
    2.0336815273480385e-05,
    5.208657534259529e-05,
    1.828340826112872e-05,
    0.00013338727778720516,
    2.221572722161829e-05,
    0.00014316251957233363,
    7.686643416595768e-05,
    0.00013548198569133832,
    2.7533963272223565e-05,
    0.0001704417209363239,
    9.585615568842394e-05,
    0.00021224374519817284,
    9.864667867584662e-05,
    0.00020188428766131617,
    9.416253925993855e-05,
    0.00016476997787845735,
    2.3281487141681424e-05,
    0.00012884192250665202,
    9.990694577742048e-05,
    0.00016323236507238722,
    9.437830648562056e-05,
    0.00013581392473578202,
    8.562247211267296e-05,
    0.00012115590937862973,
    9.887118927350825e-05,
    0.00015922402345053892,
    0.00012683361061762973,
    0.00017224710996125732,
    0.00010929851670077224,
    0.00013464324248048374,
    9.123194277586502e-05,
    8.187597162825505e-05,
    1.854603435049393e-05,
    3.480059642183182e-05,
    2.400529058193624e-05,
    0.00012218397929194083,
    3.563445717335393e-05,
    0.00014087973108420764,
    0.00010743069890400363,
    0.0001538277598782005,
    2.2437834520208897e-05,
    0.0001111811752346811,
    9.514074832698297e-05,
    0.00013843962032537106,
    0.00010925667732477756,
    0.0001510141242387953,
    0.00011599909222505969,
    0.00013927799098265687,
    2.8383134398040185e-05,
    0.00010218431861564927,
    0.00011023084691661177,
    0.00012003372206811963,
    0.00011644888648898848,
    0.00011329316880437831,
    0.00013711647153615093,
    0.00012424320895571076,
    8.94387569781954e-05,
    8.750539338268462e-05,
    0.00010709351940156364,
    9.366788438524496e-05,
    0.00011273954175745328,
    8.834692563157868e-05,
    0.00011506977054054533,
    6.075142165648703e-05,
    2.8040673341297435e-05,
    0.00014805905023194472,
    9.481340688950152e-05,
    0.00016852808181907567,
    0.00011573330340550352,
    0.00018530417982540762,
    0.00010625216298173801,
    0.00015123082807901137,
    0.00010750026281696254,
    0.00020879784274208005,
    0.0001240035430699905,
    0.0002026813751074392,
    0.00014145474104712848,
    0.00020536748733443724,
    0.00011652259397413304,
    0.00012024061278049731,
    0.00010100523314059664,
    0.0001184260390683424,
    0.00011766129469358896,
    0.00012923005087169323,
    0.00011858827169265932,
    0.00011647322729905235,
    0.00011081106486424387,
    8.067906226346064e-05,
    0.00010697471471489916,
    0.00011063401150622615,
    0.00011427334171520935,
    8.379847852123819e-05,
    0.00011383015603201625,
    7.558095972749942e-05,
    7.111827475726014e-05,
    4.152425409235822e-05,
    3.1451879582119915e-05,
    9.954499918822608e-06,
    4.24807100623365e-06,
    2.0952166361458367e-05,
    1.102688432078443e-06,
    1.9214765092390117e-05,
    2.00542186675154e-05,
    7.342154587753411e-05,
    1.10057536406502e-05,
    1.7556137712372907e-05,
    1.4595884511143753e-05,
    0.00010658797511117434,
    1.453724049959644e-05,
    7.043029217701235e-05,
    6.389955264948173e-05,
    9.226772273208305e-05,
    1.7983833119678765e-05,
    3.33940048018096e-05,
    5.186644267798333e-05,
    0.00016822595964931768,
    3.174712714414071e-05,
    9.869730644310663e-05,
    0.00011404853105898877,
    0.00015541777957438986,
    2.4961819239214363e-05,
    0.00011771804722097266,
    0.00015593720704620853,
    0.00023732624928908956,
    8.652516619272086e-05,
    0.00011206342808194325,
    0.00014952063898954952,
    0.00017198226504061155,
    1.5219411585587089e-05,
    3.2608129802291355e-05,
    1.5569015104275564e-05,
    0.00012381303973313642,
    1.587790610481566e-05,
    9.047357443280185e-05,
    6.210081627251e-05,
    0.00010213495158418235,
    2.0741834604096344e-05,
    0.0001445085020446785,
    0.00010241950935496523,
    0.0002520358091929534,
    7.17919807947248e-05,
    0.00013001465057381465,
    8.720302866193068e-05,
    0.0001472476977246269,
    3.459001752869587e-05,
    0.0001773988122135613,
    0.00016333762700692148,
    0.00030053114815555877,
    0.00010017089511374524,
    0.00016074889950285482,
    0.00014172547551986628,
    0.00020233260111158426,
    0.00014501421289007943,
    0.00026462756850146934,
    0.00028167333737404637,
    0.0004021606442963583,
    0.00013482588411973745,
    0.00018302585273392329,
    0.00018210722102869733,
    0.0001877353311068578,
    8.891151640011852e-06,
    1.9611553740219733e-05,
    1.8222881966524562e-05,
    0.00010306990329598089,
    1.9315658156100776e-05,
    8.123842210382732e-05,
    7.734260593730865e-05,
    0.00010050152988998499,
    1.4705017764266572e-05,
    8.254805985717534e-05,
    9.096656301319658e-05,
    0.00015196490544434297,
    7.090027490202523e-05,
    8.47243067483307e-05,
    9.490116853389435e-05,
    0.00011308214354435792,
    3.115741740364303e-05,
    0.00011557840558574141,
    0.00016548074843957846,
    0.00021645183194544208,
    0.00011032242325971695,
    0.0001250888451841605,
    0.00019608006089489295,
    0.00019265307839800064,
    0.00010677247705310074,
    0.00012829903983617232,
    0.0002339787100151347,
    0.00023746463909561543,
    0.00012382836338635872,
    0.00011826067597848756,
    0.0002186199546398798,
    0.00014541888724628027,
    1.8834976003811715e-05,
    0.0001148514484673704,
    8.876050742361479e-05,
    0.00017024120512240632,
    7.760418450066844e-05,
    0.00011295046377980407,
    8.322714979168242e-05,
    0.00011794106516026298,
    9.263018996374025e-05,
    0.0001812179302984079,
    0.00015841890417347742,
    0.0002745922450827401,
    9.510827505414373e-05,
    0.00013698198036240215,
    0.00011382986719652253,
    0.00012094286797331056,
    0.00013455675126464094,
    0.0001958161544375687,
    0.00023697909977721585,
    0.0002859719580155174,
    0.00013960583834830438,
    0.0001637844168745661,
    0.00018927805963740255,
    0.00016255824617554185,
    0.0001793077858359628,
    0.00021228215421248978,
    0.00031342744576867996,
    0.00028424194329868284,
    0.00015029525223397296,
    0.00012594632758252013,
    0.0001719614066725176,
    0.00012772524112186553,
    1.0700495900829133e-05,
    2.53333886247733e-05,
    1.80575515139016e-05,
    0.00010597651379771278,
    1.984834123394115e-05,
    9.673409359689484e-05,
    6.619523819598845e-05,
    9.883002857894643e-05,
    1.6029788666663055e-05,
    0.00010691522886246388,
    8.753503651910608e-05,
    0.0001580958399344912,
    7.508728849230553e-05,
    0.0001139783905362487,
    8.157605024719434e-05,
    0.00012065441661748816,
    4.447867084117719e-05,
    0.00016109072304662224,
    0.00016582866935018742,
    0.00023637861830555748,
    0.00012680680578985615,
    0.00017012547739572335,
    0.0001733989183494147,
    0.00020029894716887042,
    0.00013679142377667338,
    0.00019317256316673647,
    0.0002255019202671152,
    0.00025350539211370116,
    0.00014492283814934042,
    0.00016301696346957172,
    0.00018843011775315956,
    0.0001532444838372724,
    1.9154448150804545e-05,
    0.000142147925095333,
    8.043658600995031e-05,
    0.00016637502089054227,
    7.715740613552872e-05,
    0.00014379863899541116,
    6.968000625005872e-05,
    0.00011721471737665375,
    0.00010380544657477716,
    0.00024079488365040189,
    0.00014315735452450539,
    0.0002700828639661774,
    0.00010396713278234679,
    0.000182599109632129,
    9.854746903699058e-05,
    0.00012551639135307513,
    0.0001597591429419107,
    0.000271992452875329,
    0.00021983866505149817,
    0.00029891817534094566,
    0.0001539321891397629,
    0.00021689876633939768,
    0.00016338800801462053,
    0.0001669683391168228,
    0.00023148032379595652,
    0.00030558788880366854,
    0.0002809869399780794,
    0.00028838111629059346,
    0.0001743851254067866,
    0.00017265860107975459,
    0.0001431924536121495,
    0.0001300208975661379,
    2.025968243625548e-05,
    0.00010178843988249606,
    8.796329371173985e-05,
    0.00013458271553935214,
    8.996294872170333e-05,
    0.00012128617686556464,
    9.60377148290991e-05,
    0.00011973682102354043,
    8.41164259911884e-05,
    0.00012230836441433338,
    0.00012168854856089788,
    0.00016526649897236715,
    9.981903527924921e-05,
    0.00011943830863273527,
    0.00011177629251749216,
    9.919944738581403e-05,
    0.0001371603191910481,
    0.0001477139587551887,
    0.00021589453828927337,
    0.00020061735010554278,
    0.00017799816513033173,
    0.0001664083613108142,
    0.00023234569950274927,
    0.00015243727436705024,
    0.00015632742633732484,
    0.00013142869822196945,
    0.0002343105739888908,
    0.00014774043624387606,
    0.00017112867240264058,
    0.000102719595658769,
    0.00017892228205660892,
    9.569734530211407e-05,
    9.141730804059532e-05,
    0.00016343390066431387,
    0.00010305853467986047,
    0.00016754661559784925,
    9.814709664156882e-05,
    0.00014444362650255842,
    8.67976224113526e-05,
    9.102576014625458e-05,
    0.00013177220409725036,
    0.0002045388776702369,
    0.00016240115554109425,
    0.00018469471645371323,
    0.00011799345210089273,
    0.00011939111614817782,
    8.589186249545464e-05,
    8.274619795578525e-05,
    0.00018268896920404062,
    0.00018490103391341207,
    0.00021513900726673524,
    0.0001710164449016218,
    0.00017083125603980975,
    0.000136772547856188,
    0.00013714035949740152,
    9.809446354655958e-05,
    0.00019565028609665582,
    0.00013675928438199356,
    0.00020299796535017372,
    0.0001230418567599008,
    0.00013186544999847088,
    8.369985782520932e-05,
    0.00010480377033484945,
    3.151150047963681e-05,
    4.056208908084467e-05,
    1.155959957283871e-05,
    4.756042864680022e-06,
    2.5665708080470663e-05,
    1.573550413788719e-05,
    3.366472164050973e-05,
    2.650535861314222e-05,
    0.00011348185027496284,
    1.9636729049021477e-05,
    2.8834608970886473e-05,
    2.1506304703932147e-05,
    0.00012775562770235725,
    2.9539592285335126e-05,
    0.00013078009712852342,
    0.00010931995976438536,
    0.0001743397069848039,
    6.002954269961048e-07,
    2.720483212030541e-05,
    2.8741617012889188e-05,
    0.00010601013880091119,
    3.412696862940443e-05,
    9.624875481870242e-05,
    9.83955069355979e-05,
    0.00012018686859424201,
    2.2749440973344156e-05,
    9.170321798261284e-05,
    0.00010656086659993615,
    0.00014648991391502647,
    9.421122953003431e-05,
    0.00010675530832856373,
    0.00012779026547865365,
    0.0001387563024027296,
    1.796635518991746e-05,
    4.143429856222396e-05,
    1.9916650127896986e-05,
    0.00013261272512846722,
    2.6726810688833644e-05,
    0.00015197352154919732,
    9.324205776054166e-05,
    0.00016561782846201157,
    3.64740386315256e-05,
    0.00018704288569991256,
    0.0001240801475927838,
    0.00027046662656984947,
    0.0001411116738499204,
    0.0002558701331406801,
    0.00016261455828126497,
    0.00025332683134905726,
    2.4427370005305236e-05,
    0.00011081839356194055,
    9.61684027581346e-05,
    0.00015771543179634863,
    9.56544650221667e-05,
    0.0001295506295633218,
    0.00010380746415981181,
    0.0001432597494151088,
    0.00010624589416672845,
    0.00017065370574140544,
    0.00016644152291879862,
    0.00022788653170920778,
    0.00013443107231953026,
    0.00015930700977159306,
    0.00015000693928517741,
    0.00013384456339417917,
    2.4171977103723025e-05,
    3.1100735732745524e-05,
    2.766826674781985e-05,
    0.00012553985682442733,
    5.034721825879704e-05,
    0.00015423901414229663,
    0.00013753215641422394,
    0.00018822005798911358,
    3.040155129111088e-05,
    0.0001261373784928938,
    0.00012774342667578846,
    0.000188616025321942,
    0.00015846318224203222,
    0.00019912477914045125,
    0.0001994307247767423,
    0.00022598499354038263,
    2.8519796112768396e-05,
    9.244978067467162e-05,
    0.00011113128164197898,
    0.00012290511252870684,
    0.0001241583747613611,
    0.00012017141069180977,
    0.00016581440475008628,
    0.00015301153519490122,
    9.679791541447682e-05,
    9.835565198843454e-05,
    0.00014281156316004457,
    0.00013365129121307927,
    0.00013645390401719132,
    0.0001136257763191351,
    0.00018016901778034625,
    0.00010707414502075732,
    3.1742993641465666e-05,
    0.00015427162323578786,
    0.00011261979370919325,
    0.00019177418905559165,
    0.00015434024806376947,
    0.00022474163294456057,
    0.00015841427674390688,
    0.00020745870964562237,
    0.00015303384660056568,
    0.00026856393763166945,
    0.00019804181591037673,
    0.00029407347170252795,
    0.00023515522498211542,
    0.0002878828371816789,
    0.00022218315370017342,
    0.0002205513534262855,
    0.00010267393123751562,
    0.00011867325662877255,
    0.00012719688995211913,
    0.00014444721253804103,
    0.00013560514593230434,
    0.00013319847997329107,
    0.0001469688622198926,
    0.00010954320319029424,
    0.0001361525632500676,
    0.00014190454175072077,
    0.0001697888631742461,
    0.00013189541755958027,
    0.00015350161009540741,
    0.00010471975975455262,
    0.0001299474152870613,
    7.547282191076685e-05,
    1.07221832763051e-05,
    3.353245947053644e-05,
    2.224481662502709e-05,
    0.00011460896574821069,
    3.895157644704176e-05,
    0.00015769287499549397,
    0.00010163845124985982,
    0.00015394455514304063,
    2.689364217964775e-05,
    0.00013383355854604362,
    0.00010381053663923875,
    0.00016716892153855785,
    0.00013655653541658468,
    0.0002138290517710011,
    0.00014174563228799928,
    0.00019031800916338652,
    2.9117798268652402e-05,
    0.00010281263804256101,
    9.924115071193415e-05,
    0.00012047318956134282,
    0.0001173457364821879,
    0.00013506758209402462,
    0.00012555684593446603,
    0.0001302588456732685,
    9.871147977540813e-05,
    0.00011743517787512068,
    0.00012039759831700313,
    0.000126078202897244,
    0.0001344997284991101,
    0.00012898103486875875,
    0.0001330757771410846,
    8.607755549969764e-05,
    2.6416759136175158e-05,
    0.0001519533084010597,
    8.73967644844991e-05,
    0.00016365016583164968,
    0.00012645084811629994,
    0.00022874218993247525,
    0.00010929676572113359,
    0.00016644811423796485,
    0.0001320307192476666,
    0.00027755009030856103,
    0.00014857391004405497,
    0.0002517698239022678,
    0.00020563765116466448,
    0.00031474167384164064,
    0.00015803167506151853,
    0.00018080428950099323,
    9.72521287596601e-05,
    0.00013556593797367958,
    0.00010497877149223873,
    0.0001402146170890422,
    0.00012560077602704787,
    0.00014807268612405692,
    0.00011059935644497345,
    9.167668841084835e-05,
    0.00013919636736533093,
    0.00017141026176373996,
    0.00013829647452465115,
    0.00012000091887675469,
    0.00015655129792085807,
    0.00012334529116830113,
    9.178739296624179e-05,
    6.03928694657562e-05,
    3.148097657622977e-05,
    0.00012955492907850777,
    0.00010789274875985497,
    0.00014888640991370954,
    0.00017313927460485033,
    0.00022389497138934714,
    0.0001688179722114854,
    0.00019136097909858065,
    0.00012506046349679108,
    0.00017576030745015386,
    0.00014376912742151225,
    0.00017065018105838243,
    0.00022025024179657353,
    0.00023687753527909433,
    0.00019055419521343762,
    0.00015908050242880914,
    0.00010395672227889925,
    9.30638050614726e-05,
    0.00011836150752703703,
    0.00010156993849243192,
    0.00017399428125796068,
    0.0001338130635835859,
    0.0001757001874514486,
    9.102002231723761e-05,
    0.00011351523252743822,
    8.431742508154527e-05,
    0.00011658964661653463,
    5.8896225200568e-05,
    0.00016222125716805957,
    7.694714444476251e-05,
    0.00011300538970323316,
    4.43047086847841e-05,
    0.00011896449953226631,
    0.00019692707064125585,
    0.00011630087787328644,
    0.0001679375761650456,
    0.00019479397949409433,
    0.00024249050175628674,
    0.000142844116746651,
    0.00013596125370811963,
    0.0001938327673208015,
    0.0002667073938497091,
    0.00016401444875257905,
    0.0001646807088763772,
    0.00024599666726706567,
    0.00022635502958342352,
    0.00013811029256721803,
    0.0001099801463723863,
    0.00011051188554636807,
    9.824293957822509e-05,
    0.00010480200712382744,
    6.884345149745428e-05,
    0.00014819998760603854,
    9.113378914191248e-05,
    9.010297364978426e-05,
    4.618203690290831e-05,
    0.00012906131944385494,
    7.052756558075696e-05,
    8.351758900212354e-05,
    3.936243665033128e-05,
    0.00011546848193540483,
    5.066590419212841e-05,
    5.6693444792534124e-05,
    7.0846954379957766e-06,
    5.278900508630118e-06,
    2.0857521572301045e-05,
    1.847584770435316e-05,
    9.867700825530061e-05,
    2.1163206213551677e-05,
    9.041891109430779e-05,
    7.331035379336162e-05,
    0.00010348362189024233,
    1.828551098753173e-05,
    0.00010332343148958664,
    0.00010243398026114268,
    0.00017928095824574122,
    9.005579232179904e-05,
    0.00012750292526370557,
    0.00011658659962441346,
    0.00016005694911953527,
    3.3847350643069853e-05,
    0.00011932394719840043,
    0.00015291349489349174,
    0.00021496047570275433,
    0.00011418794064650852,
    0.0001433875787312647,
    0.00018543368834904588,
    0.000199798052011611,
    0.0001294169525027682,
    0.00018014880780471565,
    0.0002668844701148636,
    0.00029747576426028674,
    0.00016309885189125136,
    0.0001772529580403544,
    0.000256596084773931,
    0.00020147227763602434,
    1.9635945555963403e-05,
    0.00012341130087990243,
    8.415650626569745e-05,
    0.00017561959598266924,
    8.563068425437361e-05,
    0.00014770780794562987,
    8.909572683009933e-05,
    0.0001454818580256073,
    0.00011813800747521694,
    0.00025013910522901596,
    0.0001829415847119813,
    0.0003308636002926524,
    0.00014390500754336838,
    0.0002209073752087059,
    0.00015111405456498346,
    0.0001847715004103036,
    0.000132597393277022,
    0.000225929098997425,
    0.00022295091661596027,
    0.00031558682040673953,
    0.00015065385048967057,
    0.00020853422126332143,
    0.00019742019091858668,
    0.00019572442391804974,
    0.00024357355531367213,
    0.000330515652491409,
    0.0003704323091071158,
    0.0003832733881307495,
    0.0002194389325893673,
    0.00021168681280567256,
    0.00022399829556470598,
    0.00019204581999055873,
    2.0601702601431816e-05,
    9.522537816380281e-05,
    9.733198795779608e-05,
    0.0001450171888277781,
    0.0001051066653891216,
    0.00012640253188086163,
    0.00012115133817616455,
    0.00014261147157528352,
    0.00010078771338253539,
    0.00013633732739273499,
    0.00017083748726230642,
    0.00021439606464271468,
    0.00014104119857016235,
    0.00014846912546832164,
    0.00017605328271434165,
    0.00014821760183757714,
    0.0001224319135755629,
    0.00013088860228670937,
    0.0002256757916033617,
    0.00021191563451098555,
    0.00017983549854439678,
    0.0001638973548003933,
    0.00026330428497599523,
    0.00017223978127086024,
    0.00016984654212567454,
    0.00015138506397353963,
    0.0003080277162736887,
    0.00020142294699302912,
    0.00020572288701585417,
    0.00012763808830696093,
    0.000258803506702838,
    0.00013835282247824977,
    9.936130635899546e-05,
    0.0001653928192997221,
    0.00012646947133532137,
    0.00020013118954230987,
    0.00012798052227098756,
    0.0001679333201326827,
    0.00012463071842895858,
    0.00012614515711920112,
    0.00017330171883913278,
    0.0002468405752375535,
    0.00023365257136655435,
    0.00026160430241000304,
    0.00017588683075174522,
    0.00016684237952211445,
    0.0001487846144867703,
    0.0001329913966967882,
    0.00017532496302507074,
    0.00018653232112699898,
    0.0002482216947288261,
    0.00020340727265717227,
    0.00018883213138938938,
    0.0001499559897437453,
    0.00018066642984774177,
    0.000126885548655233,
    0.00023578132469938417,
    0.00017886606766542038,
    0.00029511053009016,
    0.0001879807898070583,
    0.00017818364406426625,
    0.0001143915200921008,
    0.00017072504066227012,
    6.775927689308078e-05,
    2.0131720728045364e-05,
    0.00010580776242005779,
    8.100983654293067e-05,
    0.0001282748951207382,
    9.47170097218974e-05,
    0.00014188251227831284,
    9.012001018311666e-05,
    0.0001266277768600947,
    0.00010136192143980371,
    0.00016245398991032863,
    0.00013848255394765169,
    0.00019625886625364674,
    0.00013826118945883307,
    0.00018061688281601743,
    0.00014333912766078947,
    0.00014291157202558558,
    0.00013665125679381454,
    0.00017357228839277883,
    0.00020187288195963214,
    0.00021342479036186993,
    0.00018680437724726855,
    0.0001983580977594404,
    0.000216504102739137,
    0.000162996474994307,
    0.00020120337717910165,
    0.0002066092879089241,
    0.00026625184978156706,
    0.0001997057884260389,
    0.00022500309418429536,
    0.00016552867696197087,
    0.00021319608402241082,
    0.0001364311333668147,
    9.23968715628002e-05,
    0.00018482429542069216,
    9.813136826144043e-05,
    0.00017563006715752726,
    0.00011610206789800088,
    0.00018891522123718548,
    9.756516210038122e-05,
    0.0001127451647198407,
    0.00017292253324398258,
    0.00029171211965378836,
    0.00018680023063021495,
    0.00023566473499142616,
    0.0001793308653610214,
    0.00020912434241575906,
    0.00012172965093091888,
    0.0001265695367732572,
    0.0001903974073807446,
    0.00024237509649649943,
    0.000213702307434386,
    0.0002033098500780751,
    0.0001941349123022812,
    0.0001839303389447708,
    0.0001466955518677257,
    0.00011979695673784398,
    0.00027196804147661634,
    0.0002463013376890943,
    0.00024320579549567183,
    0.00018332808483292228,
    0.00019780301828990814,
    0.00014839073280539564,
    0.00013876185621063944,
    6.575719691942303e-05,
    9.567240520031119e-05,
    0.00012514891048545862,
    0.00011357987784065606,
    0.00013862664588380045,
    0.00014341426255557255,
    0.00015580006282058282,
    0.00013554627025947775,
    0.00010907999620905574,
    0.00013496923912915593,
    0.00015628295589499493,
    0.00016679585310060737,
    0.00014351470675817146,
    0.00016982231360504894,
    0.00013647086823513548,
    0.00013965279178624392,
    9.92146351047364e-05,
    0.00016153703280200938,
    0.0001282804942448752,
    0.00021020296953117574,
    0.00011910031584563186,
    0.00023542581091634505,
    0.00013467870744837045,
    0.000208895744040015,
    9.980221762320753e-05,
    0.00018182017483591107,
    9.827758479683104e-05,
    0.00019212604692710737,
    8.413167900214104e-05,
    0.00018762177531008852,
    8.477199723601796e-05,
    0.0001655232582728553,
    3.6948899987011625e-05,
    0.00012038937909846387,
    0.0001731150053769821,
    0.00011708871817970871,
    0.00012003621789496764,
    0.0001410757132628112,
    0.00013708832265914978,
    8.75791867743858e-05,
    7.608672928632725e-05,
    0.00017985683049674981,
    0.00017687660761715819,
    0.00014796822921872254,
    0.0001251456516151404,
    0.00014249429177288673,
    0.00011882633566540918,
    9.161513638432406e-05,
    3.3725370480378824e-05,
    0.0001725022313387471,
    0.00011614574943302277,
    0.0001454842105340593,
    8.115123977560872e-05,
    0.00015595445146851362,
    9.237016775512416e-05,
    0.00010290663830559105,
    2.7840743207264453e-05,
    0.00016341611671033706,
    8.086646448544005e-05,
    0.0001277928023758195,
    2.8039325849341952e-05,
    0.00011990579007197097,
    2.6831724891390357e-05,
    4.519110214164207e-05,
    2.5617586796879325e-05,
    4.935850851201161e-05,
    2.1094082525039348e-05,
    8.000864374404248e-06,
    2.8773346560599212e-05,
    1.0699139482318838e-05,
    2.964861104287709e-05,
    2.3717579749845482e-05,
    0.00010595438269443,
    1.6753296614127774e-05,
    2.7245503085434186e-05,
    1.795363901521395e-05,
    0.00012057590182660714,
    1.8752162605444994e-05,
    0.00010614280782280224,
    8.61043001407866e-05,
    0.00014083916460873934,
    2.3536657345914547e-06,
    2.5574741297168106e-05,
    2.7779257786668805e-05,
    0.00011561550981883012,
    2.9867635213233674e-05,
    9.513651788920033e-05,
    8.912369683448636e-05,
    0.00011626405350169598,
    2.0751271613021098e-05,
    8.764938165871783e-05,
    9.715869755917505e-05,
    0.0001431823410896043,
    7.7660893525748e-05,
    9.215542954188984e-05,
    0.0001006154425883347,
    0.00012034840096406534,
    2.0774390341177253e-05,
    4.570415232550859e-05,
    1.8652994294341116e-05,
    0.00013422263636036347,
    2.001863285758559e-05,
    0.00012962353661663935,
    7.741430601998145e-05,
    0.00013896354983998922,
    2.5900749998722513e-05,
    0.00015990908085520018,
    0.00010117043277404449,
    0.00023704412773868012,
    9.397111355201173e-05,
    0.00019089352978112766,
    0.00010670616069118167,
    0.00019375617990266474,
    2.1157191909383154e-05,
    0.00011373009091192432,
    9.459080290980615e-05,
    0.00016481777911746577,
    8.321072367432162e-05,
    0.00012138812158670198,
    8.478745369501333e-05,
    0.0001305916320585349,
    8.80997724276965e-05,
    0.00014757857528536897,
    0.0001338836347745378,
    0.00020819858820379339,
    9.380171607649315e-05,
    0.0001300603177715449,
    0.00010697481585488586,
    0.00011045458442342316,
    2.394916488415204e-05,
    3.3079327359716225e-05,
    2.734338372963627e-05,
    0.00012754987624469222,
    3.617705435808205e-05,
    0.00013655180217118137,
    0.00011513465771058392,
    0.0001684086003662442,
    2.278112665911494e-05,
    0.00010864122300307959,
    0.00010761865845820991,
    0.0001641398130228011,
    0.00011077738827174257,
    0.00015431972496086422,
    0.00014608674457363804,
    0.00017983913020719875,
    2.464440743869534e-05,
    9.810687529005123e-05,
    0.00011492574126740899,
    0.00014319945869093964,
    0.00010989426638067418,
    0.0001203863121885794,
    0.00014864220447246285,
    0.00015284020256974983,
    8.358476891301489e-05,
    9.391530113739811e-05,
    0.0001321021792849699,
    0.00013584399322845117,
    0.0001057420211727859,
    0.00010017257487506957,
    0.00014765867104938875,
    9.665811731335069e-05,
    2.6730138759253267e-05,
    0.00014481598354457967,
    0.00010081343128684357,
    0.0001806240471533311,
    0.00011357786219614282,
    0.00018478441394038244,
    0.00011641726173013753,
    0.00017395598317612702,
    0.0001074480033563963,
    0.00021055411820630177,
    0.00014626136739589294,
    0.00024503722144897415,
    0.00014266225897748081,
    0.00021802562963376177,
    0.00014732276719257848,
    0.00016836016092908526,
    9.562276972625374e-05,
    0.000130480042026611,
    0.00012736213549734835,
    0.00016039620753577417,
    0.00011279253601184327,
    0.00013132275328409435,
    0.00012398223943932765,
    0.00010891739832447917,
    0.0001003132173814005,
    0.00013094848577603976,
    0.00014219855403169336,
    0.0001297333607392484,
    0.00010865864620472168,
    9.301186868620426e-05,
    9.663471471191954e-05,
    7.077368893943349e-05,
    2.8443752501040343e-05,
    5.0998204316581336e-05,
    2.6034652757709666e-05,
    0.00014122504365498024,
    3.992112957443895e-05,
    0.000169210904636608,
    0.00010458904970527037,
    0.00016941813696986908,
    3.0178508520705533e-05,
    0.00014976871478499036,
    0.00011187776094028382,
    0.0001917803537705111,
    0.00012279081662072363,
    0.00020099030539088384,
    0.00013208766241744785,
    0.00018112301524942165,
    3.1739701838002966e-05,
    0.00012668283165005704,
    0.00011846760679481734,
    0.00015893705515737847,
    0.00012216230679755049,
    0.00015181192952585262,
    0.0001358233393573789,
    0.00015036558201036364,
    0.00010358836270369986,
    0.00013213704884323135,
    0.00013985312074475141,
    0.00015390528831821698,
    0.00012720994191545352,
    0.00012802522327415777,
    0.00013415115675402762,
    9.277068912755761e-05,
    3.181153752337087e-05,
    0.0001832244443373299,
    9.607401863624923e-05,
    0.00019560021285949976,
    0.00011505799622515348,
    0.00022538276465533663,
    9.895620180542164e-05,
    0.00016800857793125305,
    0.00012542102365951043,
    0.00028673567033670415,
    0.00014895993410261765,
    0.00027443801682065273,
    0.0001584309797420873,
    0.00027736353211762794,
    0.00012831348437092994,
    0.000164228629867351,
    0.00010669657844550636,
    0.00016691894724322394,
    0.00012304756041451632,
    0.00017515296665292676,
    0.00012170486282710047,
    0.00015877521486723034,
    0.00010988696587625223,
    0.00010336670645905643,
    0.00012949485454945213,
    0.00018093319427163525,
    0.00014277048285855573,
    0.00014216306025782244,
    0.0001305312153802771,
    0.00011970242566240943,
    8.294216464118456e-05,
    6.486398630419789e-05,
    4.0215519901615235e-05,
    0.00015722732772761584,
    0.00012488813215267308,
    0.00018493045379917205,
    0.000165946284720253,
    0.00023820823353923326,
    0.00017389920650213777,
    0.0002095188095593625,
    0.00012352776263381977,
    0.00018539084327729344,
    0.00015621156787177544,
    0.0001888255855381797,
    0.00019083823292842989,
    0.00022187517235700105,
    0.00017720521770781442,
    0.00015403981851258436,
    0.0001191193608391007,
    0.00012327312863629408,
    0.00015200721391229623,
    0.00013913579134534274,
    0.00017510479667783162,
    0.00014833370018503832,
    0.00018721094838892367,
    0.00011023916637667673,
    0.00011889266466956215,
    9.901737440331268e-05,
    0.0001382839381241088,
    7.733160481942968e-05,
    0.00014921472162345774,
    7.834780523970574e-05,
    0.00011453354627235273,
    5.061544257842912e-05,
    0.0001236206417592498,
    0.00022823243900686488,
    0.00012793970685828003,
    0.00019809414174540527,
    0.00016661079236536945,
    0.00024303923986043123,
    0.00013151753811646317,
    0.00014084479384148346,
    0.0001695103789006874,
    0.0002634863755097378,
    0.00016146228565345713,
    0.0001798268929012266,
    0.00019006434381285968,
    0.00020478477598749313,
    0.00011409384035597385,
    0.00010680669965469654,
    0.00012348133926825644,
    0.00012999401537692014,
    0.00012486717030937397,
    9.629146481767208e-05,
    0.00013884461206526964,
    0.00010414175752920223,
    9.132778038681528e-05,
    5.714792416491034e-05,
    0.00012053939167698142,
    7.993867729008788e-05,
    9.086528772387632e-05,
    5.060634550130956e-05,
    9.795722476453517e-05,
    5.412899517903064e-05,
    5.458675413715542e-05,
    8.891081916839982e-06,
    9.37701279513797e-06,
    2.3159902279652505e-05,
    1.8759788448653938e-05,
    0.00011175253318640059,
    1.9980438583289876e-05,
    8.797907685737266e-05,
    7.004653293534605e-05,
    0.00011253459829171911,
    1.5746844161040445e-05,
    0.00010042395477527503,
    9.792728329516701e-05,
    0.00018388389476807062,
    7.320690892476635e-05,
    0.00010918162600233502,
    9.888643189049392e-05,
    0.00014977518902443594,
    3.434470542939066e-05,
    0.0001311557794165375,
    0.00015713550999063176,
    0.00023964289436078832,
    0.000104249787448782,
    0.000138849427520756,
    0.00017707144748322793,
    0.0002144876242929112,
    0.00011394840773970132,
    0.00016369542610848137,
    0.00022716013160058122,
    0.000280985639262192,
    0.00012501638993930728,
    0.00014696033795108334,
    0.00021255487369000877,
    0.0001856956742139528,
    1.7765498549216392e-05,
    0.00012692319602473397,
    8.340208688693433e-05,
    0.00018403057054309496,
    7.226739001958147e-05,
    0.00012392429961368028,
    7.549232682415185e-05,
    0.00013527318043222755,
    9.806147753297282e-05,
    0.00022521888821484435,
    0.00015930709334638474,
    0.0003150165286692104,
    0.00010025621989680656,
    0.00017553533671722782,
    0.00011548517875472395,
    0.000157860135330493,
    0.00012865127168153653,
    0.0002232973637605436,
    0.0002089488933424677,
    0.00031107939189781186,
    0.00012411881670692154,
    0.0001791502046823775,
    0.00017110534042238406,
    0.00018635844567509822,
    0.00018616272667303663,
    0.0002724635663452344,
    0.00028544643104961106,
    0.00033468482208392244,
    0.0001543104596245086,
    0.000162569297724745,
    0.00016643712134831076,
    0.00016648181039032362,
    2.0249986120954248e-05,
    9.895793369860789e-05,
    9.81727773339021e-05,
    0.00015967568444999944,
    8.96752525157503e-05,
    0.00011686267002890613,
    0.00011298633210684873,
    0.00015037225912877618,
    8.580331448648363e-05,
    0.00012318702103151786,
    0.0001500107033682085,
    0.0002044654583752278,
    0.00010509258452204626,
    0.00012518093805028005,
    0.00014490893329992578,
    0.00013433519598165792,
    0.00012404404872062906,
    0.00015112554872139764,
    0.00023513256048533128,
    0.0002495231721222721,
    0.000157698555898154,
    0.00016195428222523343,
    0.0002527524105425727,
    0.00019090487960505097,
    0.00014177702320115597,
    0.00014252046673361113,
    0.0002692048635050656,
    0.00020397667436668904,
    0.00015831783995683154,
    0.00011013634606525271,
    0.0002151409867480522,
    0.0001350875980676115,
    8.898171317215082e-05,
    0.00015752719774687088,
    0.00011783155149703428,
    0.0001986761162598354,
    9.412333701057634e-05,
    0.00013988631446516307,
    0.00010240023379521703,
    0.0001179785951265082,
    0.00013023131736247372,
    0.00021055323185393643,
    0.0001915185035578711,
    0.00023751877687401443,
    0.00012200381925603422,
    0.000131246982786959,
    0.00011143850642095567,
    0.00011695379544170463,
    0.00016625794135998706,
    0.00019774049116748788,
    0.00023701833144547689,
    0.0002218478286883534,
    0.00015395795122209166,
    0.000139177463099334,
    0.00015717848019650886,
    0.00013191636226093592,
    0.00018127594461786516,
    0.00015809683568316062,
    0.00023855334791289198,
    0.0001850582458938649,
    0.00012724010843193575,
    9.889300546898135e-05,
    0.00013388022869147468,
    6.058716024172495e-05,
    2.5440862147223886e-05,
    0.0001357979651540093,
    0.00010032336400510909,
    0.00017727261418361837,
    9.861638574872663e-05,
    0.00015312613174732777,
    0.00010235637324529919,
    0.0001555610758754369,
    0.00010991207583735228,
    0.00018888592456307122,
    0.0001601017811641347,
    0.00023880136759434151,
    0.00012634899555018068,
    0.00017142819008511746,
    0.00013934094264968138,
    0.00015021538350042224,
    0.00016209078676254358,
    0.0002230009544108758,
    0.00024112615063071963,
    0.00028323449312347813,
    0.0001877218919532491,
    0.00021078840511913515,
    0.00023951846159744484,
    0.0002074182703663385,
    0.00020396825212792426,
    0.00022267009737553549,
    0.00028076454269674174,
    0.00024262790500565313,
    0.0001988895930772003,
    0.00015666905354008777,
    0.00020885015147287627,
    0.0001539178973617133,
    0.00010349675863071323,
    0.00021880415992555754,
    0.00011542184876393189,
    0.00021533004023401806,
    0.00010331285126639958,
    0.00017527991399305005,
    9.328207756137386e-05,
    0.00012044132201018788,
    0.0001736148906072261,
    0.00030967022222282923,
    0.00019682335242156832,
    0.00026912478968195056,
    0.00014521185047015734,
    0.00017951075649348444,
    0.00010450042603409844,
    0.00012463594461302425,
    0.00020632484401442256,
    0.0002756844901380424,
    0.00023015286667839115,
    0.00024937893251524706,
    0.00017373097508829324,
    0.00017777869867672327,
    0.00014442151136862552,
    0.00013931776970727269,
    0.0002473180572185291,
    0.0002464550002365339,
    0.00023666072073146241,
    0.00021514110305773302,
    0.00015653887197067675,
    0.00013538730993903185,
    0.00012496757075732782,
    7.052684945438958e-05,
    0.00011082709481211518,
    0.00016263512542682892,
    0.00014375973719456007,
    0.00018954707373276575,
    0.00013972424749702082,
    0.0001672021708455275,
    0.00015011183910588333,
    0.00013576531163582282,
    0.00014274978235154416,
    0.00017511886024566625,
    0.00018703571913759157,
    0.0001716008521907357,
    0.0001520782772379551,
    0.0001283691690821739,
    0.00013625658719798305,
    0.0001069945194371599,
    0.00019508717857929822,
    0.0001733324455055312,
    0.00025947451393647773,
    0.00017823594974305512,
    0.00022661461749059637,
    0.00015098011514147453,
    0.00023008234428326487,
    0.00013680885355019142,
    0.00018498834368841995,
    0.0001156221030670997,
    0.0002161499911006879,
    0.00011567823485356945,
    0.00016361497997505992,
    8.751186828031253e-05,
    0.00016455855001717512,
    4.9428744570179256e-05,
    0.0001301831350316283,
    0.00020067994856223922,
    0.00013394946051741689,
    0.00015061527749078018,
    0.00012089335309558372,
    0.0001308447779293676,
    8.462939877874564e-05,
    8.545792498465605e-05,
    0.00017294481993324138,
    0.00018927652265448655,
    0.00015257066870336553,
    0.00014905832549334965,
    0.00011260943290470014,
    0.00010901567924842938,
    8.268356286380337e-05,
    3.784111175570097e-05,
    0.00019050459538733002,
    0.0001473279710538368,
    0.0001679219142497003,
    0.00011716533510522367,
    0.00013840475161460707,
    0.0001007031395158016,
    0.00010461738098812412,
    4.085666877483127e-05,
    0.00015257311560970083,
    9.395847232043124e-05,
    0.00013688333785586551,
    4.586903756590303e-05,
    9.97051650735276e-05,
    2.8672530009080656e-05,
    4.07889528157476e-05,
    3.0587887257511464e-05,
    1.5345972824031383e-05,
    3.169958571949282e-05,
    2.415974534545643e-05,
    0.00011726972735876652,
    3.873319476924036e-05,
    0.00014972580733031688,
    0.00010798388831317989,
    0.00016530242378350686,
    2.7058487033226632e-05,
    0.00012908444923884042,
    0.00011543324763766377,
    0.00018955122392873606,
    0.00013788741476256468,
    0.00020787238512392795,
    0.0001650438274072658,
    0.00022739028202994324,
    2.5745628085241923e-05,
    9.516343053391204e-05,
    0.00010010836381539469,
    0.0001306003385722539,
    0.00010869678289352856,
    0.00012814039652135568,
    0.00013218841036106234,
    0.00014843732995782424,
    9.139920510840785e-05,
    0.00011440352012592773,
    0.00014281865156146923,
    0.00016388438155985057,
    0.00012118285178584765,
    0.0001292903355284391,
    0.000159678038037316,
    0.00012099467344930201,
    2.4580592175312057e-05,
    0.00014753801688012022,
    9.216465355986222e-05,
    0.00017462035156059103,
    0.00012298760927211954,
    0.00022285100348746754,
    0.00011737811594832897,
    0.00019031524958609323,
    0.0001311675998236045,
    0.00027268870382382267,
    0.00016825529116575857,
    0.000293701104384515,
    0.00019862629217263532,
    0.0003122215857981578,
    0.00017989492597026674,
    0.00022846886067164594,
    9.007556533123863e-05,
    0.0001330250502010982,
    0.00011065546815124234,
    0.0001594600238720431,
    0.00011359793541640357,
    0.00014633117507662473,
    0.00012019078085802779,
    0.00011403315974696007,
    0.00012631149218828993,
    0.0001770867106745425,
    0.0001647494572294539,
    0.00016618057957058194,
    0.00014033519034245496,
    0.00012951651372379848,
    0.00011465077873930418,
    9.229856542019828e-05,
    3.3353158230336484e-05,
    0.0001295381534130656,
    0.00011988113281834,
    0.00015999926557355156,
    0.00017923985766085836,
    0.0002313812849473941,
    0.0001944759671597722,
    0.0002331411807574527,
    0.0001315597375275102,
    0.00017951988330980377,
    0.0001804476356457545,
    0.00021174240747801244,
    0.00023481813856996605,
    0.0002589662595692665,
    0.0002520557755366663,
    0.0002280872262652225,
    0.00010317406461085523,
    0.00010450254200514835,
    0.00013670864221063757,
    0.0001308953501029127,
    0.00016872604277447898,
    0.00015229477926013732,
    0.00020014455557570678,
    0.0001302195532325957,
    0.00011422016204452567,
    0.0001042921795361417,
    0.0001592083381656346,
    0.00010058484656761072,
    0.00015870731050055572,
    9.732389982276108e-05,
    0.0001573982693170162,
    7.920838748052926e-05,
    0.0001218884631306256,
    0.00019867749773565068,
    0.00012969677312197098,
    0.00018618240786007133,
    0.00020032052046770778,
    0.00026175484955355885,
    0.00016956347309305872,
    0.00018128133704781982,
    0.00019770478672330926,
    0.00027834080756793995,
    0.0002010084281846318,
    0.00021767504401940842,
    0.00025729927212446354,
    0.0002642523393460558,
    0.00018730362612986016,
    0.00017568891236376761,
    0.00011247421966413272,
    0.00011849358670256788,
    0.0001237028899342621,
    9.786374637643592e-05,
    0.0001464535899685468,
    0.00011073592139374199,
    0.00011175482086081994,
    7.471923481474542e-05,
    0.0001301847737039788,
    9.518475522974482e-05,
    0.00011705885014485652,
    7.227130045016029e-05,
    0.00011655031263502621,
    7.064782657603784e-05,
    8.531150087414783e-05,
    1.9481118078361178e-05,
    3.664092971903906e-05,
    0.00015715949232393493,
    0.00011143001422736566,
    0.00016881192880011862,
    0.0001721792837752916,
    0.0002642328463132562,
    0.0001541318479091353,
    0.00020434351369114773,
    0.00014333957576780995,
    0.00022710790247015153,
    0.00017048912461487036,
    0.0002196798908491798,
    0.0002365570018823434,
    0.0002979023986842846,
    0.0002016155962257487,
    0.0001988041716343431,
    0.00011235707332841828,
    0.00013291651905507885,
    0.00013232119092088711,
    0.00013889388118751387,
    0.0001762818723045493,
    0.00016941727592556353,
    0.0001661151857061686,
    0.00011019178605019565,
    0.00013486911082742967,
    0.0001329163351991182,
    0.00015039353374020996,
    9.973385782811219e-05,
    0.00017315632038399458,
    0.00011140670028161458,
    0.0001231786394827262,
    6.522261633820921e-05,
    0.0001222479296108553,
    0.00024129966695889184,
    0.00011696185575018338,
    0.0001932169768107266,
    0.00018874615613884675,
    0.0002907936391825138,
    0.00013220364927981736,
    0.00015301651878130138,
    0.0002116136295688198,
    0.00034932341039184823,
    0.00018401560183816908,
    0.0002224196914300976,
    0.0002611088531348095,
    0.0003046521624194447,
    0.00014444668902119777,
    0.00014689553422495387,
    0.00011842147576989266,
    0.00014779993532835738,
    0.00011598317567066446,
    0.00010189228010037583,
    0.00014823089613649664,
    0.00012354032959485792,
    8.755689652302143e-05,
    6.199271164427737e-05,
    0.0001501307237729028,
    0.00012776545910834008,
    0.00010493936234880345,
    6.866585349381669e-05,
    0.00012781518786358646,
    8.168136856328862e-05,
    6.369029953090764e-05,
    1.5866966270587727e-05,
    0.00014874187725154216,
    0.0001969273397360502,
    0.0001542239194849073,
    0.00017114268181428005,
    0.00027332065535705033,
    0.0002938545798444982,
    0.0002237684278307594,
    0.00018689302618726507,
    0.00020373269549959445,
    0.00022772600245453116,
    0.0001889732897613171,
    0.00015219602033897104,
    0.00029557287347590166,
    0.000243798240655116,
    0.00020315363497943633,
    0.0001402131700674528,
    0.00013676513757421004,
    0.00010302806490930897,
    0.00013938568745381887,
    7.16481605279712e-05,
    0.0002201627606982512,
    0.00011458656208439455,
    0.00015375800597954248,
    6.141279215364921e-05,
    0.00012828548613920738,
    6.504778425043792e-05,
    9.44015022931592e-05,
    3.778866875899994e-05,
    0.00014051451222166428,
    5.1638089392190294e-05,
    8.527243844024974e-05,
    9.973380336389227e-06,
    0.00016797273233847362,
    0.00023164240564754198,
    0.0001302961603296034,
    0.00012837771937756007,
    0.00022726576450521384,
    0.0002251342962987453,
    0.0001252307154133271,
    0.0001041870028037677,
    0.00022660829455343343,
    0.00022766818899756956,
    0.00013362430739163495,
    0.00011498701287283645,
    0.00021986365462472958,
    0.0001859291298539923,
    0.00010911905639365305,
    4.946838067491601e-05,
    0.00011608670957169482,
    7.076352470390363e-05,
    7.3122876915112e-05,
    3.83893502886373e-05,
    0.00011785292983146537,
    6.075744693147425e-05,
    5.8272946215340395e-05,
    7.551502637171866e-06,
    8.800016361146029e-05,
    4.0230874228449906e-05,
    4.869969647038831e-05,
    8.630412698892613e-06,
    7.194777871027304e-05,
    8.335284211607264e-06,
    1.1292215282240593e-05,
    2.1835663277419992e-06,
    1.9450567850014062e-05,
    0.00010156059438090299,
    9.009022773924715e-05,
    0.0001505685364948521,
    9.386353574167595e-05,
    0.00013143957095493837,
    0.00010295025302382553,
    0.00015185578529415078,
    0.00010233303581933752,
    0.0001589291528927296,
    0.00016353252054899828,
    0.0002335683105540628,
    0.00013847896831757368,
    0.0001748382026611371,
    0.00016531495209385122,
    0.00017518155846454918,
    0.00012092058560907355,
    0.00015530540805387268,
    0.0002132469473357567,
    0.00023991636577079694,
    0.00015785595344390018,
    0.0001705363922144344,
    0.00022647668088125714,
    0.00018710676961300503,
    0.00017862355027615595,
    0.00019653600374120608,
    0.0002945985379946042,
    0.00024747845822012285,
    0.0001970815780479384,
    0.00015468453736870304,
    0.00023901365109003318,
    0.0001754819684717066,
    9.078074814549988e-05,
    0.00017366162361919426,
    0.00011122114876000011,
    0.0002069084602083689,
    0.00010711432563499825,
    0.00017073294019047166,
    0.00010876234788427996,
    0.00013759843296716137,
    0.00016912197298440983,
    0.00028712548608510576,
    0.00021028565838692763,
    0.0002867581234590091,
    0.000169711533097595,
    0.00020388931835336205,
    0.0001377598421409069,
    0.00016107971611545636,
    0.00016597542818291576,
    0.00022148180857418074,
    0.00022803148485187253,
    0.0002376260979326693,
    0.0001629963617883733,
    0.00016045863680355825,
    0.00015742895684050373,
    0.0001454722014107307,
    0.00024110514947134942,
    0.00024374576926287523,
    0.0002725355453511407,
    0.00024356622692335908,
    0.0001731460504120492,
    0.00014864355194383534,
    0.00016177445572144281,
    0.00010153674453813591,
    0.00010049852798970403,
    0.00012703604931815267,
    0.00013938130795581674,
    0.00017158715265399639,
    0.00014363983790427625,
    0.00015753478052183385,
    0.0001634964723175906,
    0.0001454107895306328,
    0.00014525571331975128,
    0.00016544467761483213,
    0.00021008893660917077,
    0.00019133267788890826,
    0.00017796558885849734,
    0.00015053270015465516,
    0.00017881650837862437,
    0.00014226436402190273,
    0.00015884621566593628,
    0.00014233203913590462,
    0.0002466833056532485,
    0.00016340503757738804,
    0.00020867988163149353,
    0.00013764241212386828,
    0.00023510327713727465,
    0.00014047565833582144,
    0.00018140131936081902,
    0.00011766881238408291,
    0.00024341896370041704,
    0.00013453132999595658,
    0.00017467677082082123,
    9.871030585699191e-05,
    0.0002077295870660735,
    7.516470449866569e-05,
    0.00012107066386872337,
    0.00017296744529197004,
    0.000138090007842083,
    0.0001536631435432714,
    0.00013535822949634258,
    0.00013997566062284392,
    0.00010645676070419617,
    0.0001050350306629788,
    0.00018470712616603044,
    0.00019313227409698122,
    0.00018320795904133328,
    0.00017627129452207544,
    0.00014652616572037423,
    0.00013813073979800645,
    0.00011863440326252453,
    6.391669153896112e-05,
    0.00016893426848287691,
    0.00013117037338175998,
    0.00017284856190494165,
    0.00011915780902312343,
    0.00014002805872998626,
    0.00010125833889174503,
    0.00012319173330741136,
    5.300582720649939e-05,
    0.00016414355368158146,
    0.00010385425190545382,
    0.00016942004743673698,
    6.534519760372764e-05,
    0.00011940824331314562,
    3.9221783042151976e-05,
    7.160823117596475e-05,
    6.278297200653981e-05,
    0.00011075328992440241,
    0.00016952624228255543,
    0.00013143301571820362,
    0.00017721061706499794,
    0.00015166227376657733,
    0.0001897306802570017,
    0.00014062148833592352,
    0.0001350405065231547,
    0.00017727311955486642,
    0.00022685839162843926,
    0.0002011625358525489,
    0.00020377493890686024,
    0.00020145738245777535,
    0.00019315336076274265,
    0.00016097647649416995,
    0.00014387711212942789,
    0.000196420811825984,
    0.00019794844729757675,
    0.0002404637744186543,
    0.0001806635835845026,
    0.00023610929482892503,
    0.00017026540321055152,
    0.00021231462050077081,
    0.00013977293108332673,
    0.00023785228899553696,
    0.00017301204522711256,
    0.00023474115480374676,
    0.00014903444107828575,
    0.00021246377546916385,
    0.0001322368163807293,
    0.00019190816726899726,
    8.468740143829314e-05,
    0.0001357120415470542,
    0.00022764603389374504,
    0.00012960993934229818,
    0.00016171230677835863,
    0.00014156070824844524,
    0.00016666401086912354,
    9.135178704685155e-05,
    9.817526622524553e-05,
    0.00022457132002601254,
    0.0002703380789616161,
    0.00017247558888113743,
    0.00018580020163426293,
    0.00017056227459334692,
    0.00017487087629416742,
    0.00010596796876137891,
    6.359240577627895e-05,
    0.00020183801196629287,
    0.0001859364739375814,
    0.00016549751603801708,
    0.00013261977621926237,
    0.00015594054579050906,
    0.00012572793503662664,
    0.0001093322429812097,
    5.3967904306060644e-05,
    0.00021356586686025196,
    0.0001559232959291724,
    0.00015862201235840106,
    7.789717152934875e-05,
    0.00014240987022553304,
    6.33077421766143e-05,
    6.269753226656254e-05,
    6.987776571026124e-05,
    0.00014672502860765254,
    0.00016135221851013132,
    0.00015468570097944726,
    0.00013130499835105702,
    0.0001876187163134676,
    0.00015487975779291635,
    0.00013959813215051655,
    0.0001029270995811104,
    0.0001866901369276146,
    0.0001433933134523075,
    0.00016780691499393327,
    0.00011537074730019745,
    0.00017821102687562426,
    0.00012417604466020832,
    0.00013535845543338147,
    4.8300635777970264e-05,
    0.00019061698337876,
    0.00010161075902921505,
    0.00017395058914961592,
    8.310816927284004e-05,
    0.00020422021331266698,
    0.00010032384461974727,
    0.0001686249779638475,
    5.15900675171407e-05,
    0.000151928423401457,
    6.659611596097338e-05,
    0.00013736633084973103,
    2.8018415717606418e-05,
    0.00014540599781752027,
    3.0023933259891757e-05,
    9.79107810892602e-05,
    5.0172606833186985e-05,
    0.00014409613693660067,
    0.0001386901081392012,
    9.942499457608046e-05,
    8.567562868057935e-05,
    0.00011890887855243505,
    0.00010538966571417263,
    7.267078737713339e-05,
    2.6821622223526836e-05,
    0.0001539240736133222,
    0.00012807922214538487,
    0.00010858404307457844,
    4.727391358199009e-05,
    0.00011516273298852889,
    5.518733645306178e-05,
    3.3539415437324805e-05,
    2.3705611504814024e-05,
    0.00012882709486263945,
    7.043483327889185e-05,
    8.762717689771057e-05,
    2.0685060458536112e-05,
    0.0001024173362852465,
    2.762870515754378e-05,
    3.490650451258562e-05,
    2.6559828476127668e-05,
    9.770364420815074e-05,
    2.0822144530646103e-05,
    3.656469302110315e-05,
    1.335870910213683e-05,
    3.928874885956679e-05,
    1.5782710884658918e-05,
    3.465619076878257e-05,
    3.754000360856433e-05,
    3.0612231745849464e-05,
    7.367355062230352e-06,
    3.098384840179074e-06,
    2.0615643737167374e-05,
    3.007323527186081e-06,
    2.4568659732519306e-05,
    2.3598214383595782e-05,
    9.28862978618043e-05,
    6.201669871888615e-06,
    1.572484765219897e-05,
    1.3962336114616624e-05,
    9.508988927028409e-05,
    1.7495796125088293e-05,
    8.295821718691781e-05,
    7.184253885805733e-05,
    0.00011025249695875461,
    7.094593391051814e-07,
    2.5445042864955957e-05,
    2.8804867232777738e-05,
    0.00010981609255970695,
    3.0810343675139926e-05,
    8.913359770564754e-05,
    9.711675001704975e-05,
    0.00012746416496172393,
    1.9918067769082282e-05,
    7.656671369579181e-05,
    8.578642378197825e-05,
    0.00011633246403989505,
    7.039248002924252e-05,
    7.700127846740588e-05,
    9.864229734853815e-05,
    0.00011196251780004672,
    1.3267422114134277e-05,
    2.9125597306524313e-05,
    1.547426919900706e-05,
    0.00012324893193826558,
    1.91683065836306e-05,
    0.00011406582748297994,
    7.600225758696488e-05,
    0.00013546076340718917,
    1.5881899814222054e-05,
    0.00012564258145730288,
    8.913316294723481e-05,
    0.00019750573016559273,
    8.378094841254853e-05,
    0.00014891548209344425,
    9.551971267492862e-05,
    0.00016393561443091555,
    2.061908680967089e-05,
    0.00010940051822661092,
    9.913274296126627e-05,
    0.00016535792952080715,
    8.718829134515588e-05,
    0.0001226800377055865,
    0.00010658979094939058,
    0.00015165582410639301,
    8.654517895426497e-05,
    0.0001277452357597279,
    0.00012779307292525122,
    0.00017657744394920742,
    9.076826131230358e-05,
    0.00011675682054028023,
    0.0001131903890656755,
    0.00010323807648444161,
    1.5910552919132942e-05,
    2.562529495986771e-05,
    2.3831409088498366e-05,
    0.00012343366411291396,
    3.514344449708329e-05,
    0.0001303024536047284,
    0.0001225074656905439,
    0.00017582721596778286,
    1.63287898437489e-05,
    9.278991555158784e-05,
    9.675589727318103e-05,
    0.00014738548193156696,
    0.00010524435582259221,
    0.00013699074219690715,
    0.0001385846896572037,
    0.00016259559195925987,
    2.7693790668389004e-05,
    9.483061626710974e-05,
    0.00012418162480908176,
    0.0001489368312898085,
    0.00012625091023562714,
    0.0001299134598901774,
    0.00019563722675303597,
    0.00017987084623825785,
    8.292659903748574e-05,
    8.184772746126594e-05,
    0.00012896534594669478,
    0.0001236511139532799,
    0.00011472287092818846,
    9.870850455195122e-05,
    0.00016294661532483077,
    9.301243807926162e-05,
    2.4257625344000773e-05,
    0.00013804465687864277,
    0.00010811381900617288,
    0.00019415563669081655,
    0.00012499395912213341,
    0.0001941894372860598,
    0.00014256639293088475,
    0.0001971230650156547,
    0.00010334161408434594,
    0.00018637439808677044,
    0.0001446894125063191,
    0.00023071737595255828,
    0.00014779668441866427,
    0.0002026957677559565,
    0.00015070516208835234,
    0.00015953228642176778,
    0.0001064807483545995,
    0.0001306973020886312,
    0.0001519260567003831,
    0.00017638563896286644,
    0.00014337550355367836,
    0.00015259697539643705,
    0.00016887487956347268,
    0.00013198834393772388,
    0.0001096362070886722,
    0.00011644799374224444,
    0.00015111695166756037,
    0.00011902057098695234,
    0.00012687857841557344,
    9.004984358519498e-05,
    0.00010998528817856827,
    6.621796517500813e-05,
    1.0062680138547353e-05,
    2.9987355971796225e-05,
    2.019098440808093e-05,
    0.00011668411013313301,
    3.093867262945043e-05,
    0.00013835656102236823,
    9.329816248502922e-05,
    0.0001481948695765328,
    1.7477754135945147e-05,
    0.00010642444753647764,
    8.536186559353545e-05,
    0.00013972257351080542,
    9.70724908853905e-05,
    0.0001506833989895626,
    0.00010497876288634922,
    0.0001457567121452301,
    2.906420514785447e-05,
    0.00011207392400887593,
    0.00011268560570890725,
    0.00014180287316201655,
    0.0001285247888876459,
    0.00015684352088042545,
    0.00015534417884312834,
    0.00015952261198173397,
    8.890121336612896e-05,
    0.0001029509027223434,
    0.00010887380334523625,
    0.00011505678613623772,
    0.00011687296246104653,
    0.00011549196597685955,
    0.00012536759219429578,
    7.9014510417202e-05,
    2.1888588277415582e-05,
    0.00014734992463570512,
    8.902014959937228e-05,
    0.00017133403486672673,
    0.00010895541300334045,
    0.00020167735353834166,
    0.00010478880917248007,
    0.0001635158584341137,
    0.00010144510572772768,
    0.0002091869538733377,
    0.00012094624219059723,
    0.00020846428428615305,
    0.00013438195417715378,
    0.00021892765127841051,
    0.00011535139016580589,
    0.00013546031283529845,
    0.00010807837485640876,
    0.00015755587025426772,
    0.00012657729514475028,
    0.00016446069660699172,
    0.0001428674388857536,
    0.00017724832469658128,
    0.0001328679250523023,
    0.00011259516190505107,
    0.00012102712436319549,
    0.00014396181845638978,
    0.00012409157656258636,
    0.0001045780769390041,
    0.00013042492285080803,
    0.00010537428836362178,
    8.004549455140295e-05,
    5.516053531007812e-05,
    3.081691314109925e-05,
    0.00013260386015876517,
    0.00011627176473515482,
    0.00017313855389230752,
    0.00016889881294293138,
    0.00023483211971034743,
    0.0001903845158283951,
    0.00021710118008581768,
    0.00010265103794763478,
    0.00014577295588893947,
    0.00012979345436522747,
    0.00015680617093392327,
    0.00018030049465043185,
    0.00019918709401367692,
    0.00016846689592891782,
    0.00013467223003966496,
    0.00012001038389139422,
    0.00011746066278261197,
    0.00016274015103730406,
    0.00014036369122049058,
    0.00022575892143486304,
    0.00017951784231237889,
    0.00023752007314795865,
    0.00012858499724452925,
    0.00011076476532254634,
    8.443638247181881e-05,
    0.00012793466381287537,
    6.435624128330774e-05,
    0.00016761363105307264,
    7.910441917978558e-05,
    0.00011898820886828843,
    4.7509399496509436e-05,
    0.00012053523092532427,
    0.00020546656535587503,
    0.000134598938352952,
    0.00019455053009854306,
    0.00019493161590013194,
    0.0002591665888267085,
    0.0001601099096843989,
    0.00015518726443558065,
    0.00014898276532019397,
    0.00021735017815117477,
    0.00014577047656854885,
    0.00014721655912250687,
    0.00019184633461209627,
    0.0001890514411632884,
    0.00011491540273846138,
    9.259148113545593e-05,
    0.00014118267316162982,
    0.0001314918624636798,
    0.00014581189368021675,
    9.922231678672594e-05,
    0.0001925265086543826,
    0.0001301914948771654,
    0.00012093224333372653,
    6.594394863421596e-05,
    0.00012159391285783483,
    7.325460077547018e-05,
    8.865835135773013e-05,
    4.560332519765547e-05,
    0.00011134839121912196,
    5.248353455502855e-05,
    5.7266199142529036e-05,
    8.771779334655449e-06,
    2.616861484436926e-06,
    1.5364954416743273e-05,
    1.7879599026836743e-05,
    8.116608609708186e-05,
    1.967669377976856e-05,
    6.611193488409171e-05,
    5.363812648033089e-05,
    6.993695537564414e-05,
    1.1212867897361972e-05,
    6.848796881868855e-05,
    6.759814343116712e-05,
    0.0001099368257663243,
    5.563209473028128e-05,
    6.551904491527794e-05,
    5.649146754383621e-05,
    8.691457862837799e-05,
    2.9225500633476812e-05,
    0.0001092936922081865,
    0.00013794327574263014,
    0.00019946589167225718,
    9.529354509174752e-05,
    0.00011406614413067894,
    0.0001591233030545292,
    0.00017958140271619245,
    9.13300822894177e-05,
    0.00011987154922628688,
    0.0001801441707092717,
    0.00021211689458951213,
    9.455136735253432e-05,
    0.00010422819403948503,
    0.00016683799892410956,
    0.0001299789743907805,
    1.2757059152727879e-05,
    9.666124041354578e-05,
    6.956992251361461e-05,
    0.0001334188640931106,
    6.329051979047605e-05,
    9.59664914066224e-05,
    5.739428501310983e-05,
    0.00010007063470413033,
    7.382323605635114e-05,
    0.00014797374835380286,
    0.00010738838767461001,
    0.00019974982126781093,
    7.15603073299569e-05,
    0.00011449017218371216,
    7.781817949781842e-05,
    9.69913414731014e-05,
    0.00012099594145329299,
    0.00019653511821716377,
    0.00019624563813089744,
    0.00027588280689632,
    0.00011598201932499615,
    0.00015855233274107415,
    0.00016168290653954104,
    0.00016150793788114219,
    0.00016143955616797822,
    0.00020741135423359077,
    0.0002476106469717635,
    0.00025235695381587586,
    0.0001228906088404463,
    0.00011601938042853962,
    0.00013259111048366724,
    0.00011773807448969043,
    1.58364708696553e-05,
    8.014125571300209e-05,
    8.332677588888661e-05,
    0.00012149429566934906,
    8.114212540424007e-05,
    9.881850394599911e-05,
    9.430888615329497e-05,
    0.00011627530013408717,
    6.832651442266364e-05,
    8.633016367610936e-05,
    0.00010604283737722495,
    0.00013721086616373567,
    8.421780636867317e-05,
    9.049363991042694e-05,
    0.00010604408172233035,
    8.735626104868005e-05,
    0.00012002867145573855,
    0.00013501931261206625,
    0.00023744342539698204,
    0.0002365347935012289,
    0.00016863225958342,
    0.0001564162569768439,
    0.00026157969033921283,
    0.0001789814688533181,
    0.00012855226744708877,
    0.00011811872491261085,
    0.0002545991908367565,
    0.0001704036914797695,
    0.00014731203001756924,
    8.895335779592228e-05,
    0.00019359498992138442,
    0.00010694077107715566,
    8.179892677660402e-05,
    0.00013294876563627826,
    0.00010289473214469606,
    0.00016145207552184043,
    9.76414021194562e-05,
    0.00013337412130719022,
    9.844385297280809e-05,
    0.00010004369770319425,
    0.00010564052006221348,
    0.0001581053080937489,
    0.00014632939443251202,
    0.0001638700989083639,
    0.00010663001508636835,
    0.00010194368886792669,
    8.739802699633955e-05,
    8.296299310708422e-05,
    0.000176888797310852,
    0.00019126971372442547,
    0.00025762175502194257,
    0.00021775301441859764,
    0.0001724912247510787,
    0.00014339463205286393,
    0.00016960157191600405,
    0.00012922877978250897,
    0.00017691831000654772,
    0.00013694422293142783,
    0.00023465651892057513,
    0.00015640009764063365,
    0.00012108628870363694,
    8.377834209918914e-05,
    0.0001230234870460063,
    4.490428400862028e-05,
    1.6601275507708057e-05,
    9.261474285308661e-05,
    7.122861868813327e-05,
    0.00010900880141032002,
    7.579162994590565e-05,
    0.00010662079172625637,
    6.809266208163134e-05,
    0.00010255096016705146,
    7.121231879347951e-05,
    0.00010838768349370642,
    9.043550528975067e-05,
    0.00013353346040603675,
    7.824024367574441e-05,
    0.00010295927202464753,
    8.703431928294686e-05,
    8.702389015163534e-05,
    0.00014141054891706354,
    0.0001917749758865444,
    0.00021341716824617972,
    0.00024320105024517997,
    0.00017715616692474194,
    0.00019611360691263274,
    0.00021906469439652226,
    0.00017991275917992008,
    0.00015881804805540817,
    0.00017173514201406046,
    0.00022485624683986618,
    0.00017594720507965652,
    0.00015693880200350855,
    0.00011650307262745352,
    0.00016334503336698126,
    0.00011111792431839782,
    8.043349591772166e-05,
    0.00015158999040502447,
    8.233647376679944e-05,
    0.00014173804484756257,
    8.514403881645027e-05,
    0.0001369180384574957,
    7.516838899605002e-05,
    8.644699878898922e-05,
    0.00011125505201997283,
    0.00018827794781515193,
    0.00012418660647006954,
    0.0001530028096279978,
    9.842930687843849e-05,
    0.00011410782643064752,
    7.081533604588818e-05,
    7.910837683944325e-05,
    0.00020051420121340612,
    0.0002570471066474189,
    0.00022189844305950884,
    0.0002160839631201303,
    0.00017398244502643038,
    0.00017149182279346554,
    0.00013865798467187053,
    0.00012470967212524763,
    0.00020855320352422047,
    0.00018895082806436183,
    0.00019518924149994945,
    0.0001529977829929307,
    0.00012587072204428744,
    0.0001029875465470999,
    0.00010106315715252039,
    4.415607173915618e-05,
    8.722354639916777e-05,
    0.00011653104698545425,
    0.00010316314176531048,
    0.00012957356906425507,
    0.00012622030438812876,
    0.000143810297145584,
    0.00012435274928140886,
    0.00010281427283970379,
    9.325590616798853e-05,
    0.0001131872514105174,
    0.00011971119320073507,
    0.00010771062374641267,
    0.0001146440821799461,
    9.407249018274269e-05,
    9.63332618151447e-05,
    7.475046132187194e-05,
    0.00019520544775212682,
    0.00017460369155368927,
    0.0002679235929410481,
    0.00017425488971143974,
    0.00025897181725974185,
    0.00016637779134759018,
    0.00024805957080688295,
    0.00013688350568507546,
    0.0001727153880957112,
    0.00010105908452509352,
    0.00020003747235645267,
    9.79057917963295e-05,
    0.00015631654575721493,
    7.750685257078533e-05,
    0.00015306468306120329,
    3.826518953310179e-05,
    0.00010684112476569481,
    0.00015669588951245717,
    0.00010453131229052714,
    0.00011111908679824546,
    0.00012143920745837862,
    0.00012577850943309591,
    7.641097361272477e-05,
    7.330805383939189e-05,
    0.00012368602589906907,
    0.00012285893535753797,
    0.00010586516908675727,
    9.605519040106604e-05,
    9.297520128322447e-05,
    8.431941601234168e-05,
    6.581778659661324e-05,
    2.225742253469513e-05,
    0.00021142219941875797,
    0.0001569190297684017,
    0.0001824777988680605,
    0.00011764188012639785,
    0.00016700866793208777,
    0.00011536804570197077,
    0.00011750659337536217,
    4.5954792768955206e-05,
    0.00015080277401422786,
    8.484998063132945e-05,
    0.00013084478381783073,
    3.4419986410002924e-05,
    9.840320295303117e-05,
    2.3977850108753643e-05,
    3.8562883637107036e-05,
    2.834032879428841e-05,
    3.33115878519775e-06,
    2.2108136443122313e-05,
    2.1107429200957052e-05,
    9.693370442032718e-05,
    2.906423101752764e-05,
    0.00011770524680977189,
    9.343449148385385e-05,
    0.0001403642322483177,
    1.6915584781179633e-05,
    9.278610159847277e-05,
    8.948363592136309e-05,
    0.00014192965670446596,
    0.0001073013203928925,
    0.00015213635803730435,
    0.0001312196429505539,
    0.00017962338915490823,
    2.7849145860967104e-05,
    8.022785755555577e-05,
    9.167656076103691e-05,
    0.00011518434088083261,
    0.00010576541942944201,
    0.00011888767186914729,
    0.0001483472356436106,
    0.00015505923867012095,
    7.73883404140053e-05,
    8.254296889686568e-05,
    0.00011328982499603207,
    0.00012544978501788847,
    0.0001116511619592976,
    0.0001106162812673979,
    0.0001564939539607107,
    0.00010348408809933145,
    1.895718256064033e-05,
    0.00011811146253904147,
    8.396039680567763e-05,
    0.00015496453226772485,
    0.0001109236715135996,
    0.00018621443796744855,
    0.00011406821549180858,
    0.00017938699720539033,
    0.00010590219411193614,
    0.00020214494506214488,
    0.0001400807680941459,
    0.00023395787675866713,
    0.0001707677034635989,
    0.00024084490077727453,
    0.00016213633268016064,
    0.00018398322445193529,
    8.696976915813137e-05,
    0.00011373229398516315,
    0.0001094083864953467,
    0.00015068347397613097,
    0.00012156883982488825,
    0.00014640348858059975,
    0.00014223617162680599,
    0.00012080984543523915,
    0.00011458809329197223,
    0.000135061240051616,
    0.00014906690222230872,
    0.00012943916093923952,
    0.0001421957315626289,
    0.00011047346377220914,
    0.00011628233899082376,
    7.654959350628553e-05,
    2.6354507707288688e-05,
    0.0001105701738310676,
    0.00011354066280128677,
    0.00015832857863964692,
    0.00017583814266763516,
    0.00021159029530369824,
    0.00020472487049912405,
    0.00022904974459979395,
    0.00011061901607156738,
    0.00014292246117303078,
    0.00015845696341420856,
    0.0001834240668228368,
    0.00021764829761688925,
    0.0002126190256869411,
    0.0002324828775197079,
    0.0001873600836471844,
    9.902568297569697e-05,
    8.951586737837126e-05,
    0.00014760472823109773,
    0.00013457461121867758,
    0.00019601061465081583,
    0.00015511943254990627,
    0.00024414879873533115,
    0.00014018344473352745,
    0.00010272384934693947,
    8.32944605798934e-05,
    0.00015287238427192957,
    8.451028370699049e-05,
    0.00016754240617048973,
    8.401450824941559e-05,
    0.00016205469469674215,
    6.680017801423138e-05,
    0.00011931809815743456,
    0.00018150801729766535,
    0.00014274603669944233,
    0.00019736717158408485,
    0.00022137422293171425,
    0.0002552503039563207,
    0.00019826855063614216,
    0.0001873168155345714,
    0.0001856365407596418,
    0.00023904991338392144,
    0.00019765205697531415,
    0.0001924783968916346,
    0.0002572165191853641,
    0.00022700615688576705,
    0.00018290788830969582,
    0.00014433714093572755,
    0.00012005451110027136,
    0.00011080436335869787,
    0.0001479336002474051,
    0.00010428709907449404,
    0.0001815782273879162,
    0.00011785081824693019,
    0.00014173485184371047,
    7.921889963440858e-05,
    0.0001309545856115502,
    8.225956334897405e-05,
    0.00012279471930970204,
    6.406913014465644e-05,
    0.0001272875648407874,
    6.172039253174391e-05,
    8.748545011621472e-05,
    1.5201735865664961e-05,
    2.43041372053996e-05,
    0.00011145479682142775,
    8.79912001139213e-05,
    0.0001306926765016793,
    0.00014077681158134386,
    0.00020964792320264368,
    0.000137740874048868,
    0.0001772679288350577,
    9.885717938061817e-05,
    0.00014710723538526903,
    0.00011788481570135423,
    0.0001536947072907112,
    0.00018337354722143057,
    0.00021954359926830395,
    0.00016858293914618822,
    0.00015110284787077168,
    9.54841668879445e-05,
    0.00010469472840216546,
    0.00011514649899914422,
    0.00011849923907625644,
    0.00018648766506531244,
    0.00016986161324843897,
    0.0001794992345102005,
    0.00010878947064041171,
    9.998180200525594e-05,
    9.506268611597043e-05,
    0.00011358647576242656,
    6.836944127065391e-05,
    0.00016167036991450033,
    9.221917392582155e-05,
    0.00011120725707102389,
    5.100180732382064e-05,
    9.955387946006428e-05,
    0.00017719036037921164,
    0.0001017153309749608,
    0.0001582745261028757,
    0.00017416091632261634,
    0.00024403186409293113,
    0.00013587510731892524,
    0.00013780421989150062,
    0.00015593705140560615,
    0.00024115427291167448,
    0.0001443568397530755,
    0.00015601962663309543,
    0.0002209379531346185,
    0.00022965325424985754,
    0.00012866928819528156,
    0.00010852452426880469,
    0.00011185016997471416,
    0.0001270066872729052,
    0.00011302057309466153,
    8.805589840313308e-05,
    0.00016863277475211887,
    0.00012672743371360727,
    9.86284230242255e-05,
    5.9623682612548126e-05,
    0.00012578160745897575,
    9.481749695879357e-05,
    8.542606803911902e-05,
    5.034315058197585e-05,
    0.00012298679682213074,
    6.59591799605119e-05,
    5.825585250091189e-05,
    1.1145086033888498e-05,
    0.00012412169098800148,
    0.00016154080068129096,
    0.00014605447390431342,
    0.00016254106994367503,
    0.00027905806744031646,
    0.0002757792478956114,
    0.000240664238636689,
    0.00017939362370402234,
    0.00015860232549473746,
    0.00017513309034388884,
    0.00015808366909569844,
    0.00012404644205679533,
    0.00027017619507052403,
    0.00020474330625752088,
    0.00018343648595122632,
    0.00010976593031859155,
    0.00013315226333912607,
    0.00010016249835132675,
    0.00015227892918395997,
    7.298535324350169e-05,
    0.00027204927058808016,
    0.00012850009692485438,
    0.00018792215628013774,
    6.54217514166739e-05,
    0.00011725760010748425,
    5.278618729119804e-05,
    8.679106986894108e-05,
    3.2634341925345845e-05,
    0.00014719039934786815,
    4.6816779419592364e-05,
    8.306287271114604e-05,
    9.42825363524848e-06,
    0.0001577373113731584,
    0.00020502197112397624,
    0.00013877366488362677,
    0.0001263131005733527,
    0.00025264523766276915,
    0.00022416776683277365,
    0.0001441024850459005,
    0.00010156240144406457,
    0.0001984693033951746,
    0.00017828511368335524,
    0.00012221579060393064,
    9.010703252157679e-05,
    0.00021564861001135873,
    0.0001544348044432866,
    0.00010016102954951261,
    3.265915574216394e-05,
    0.00012984791130428767,
    7.563686559524996e-05,
    8.648046981685965e-05,
    3.903772886084285e-05,
    0.00015426741934805192,
    6.897088074296398e-05,
    7.017743682584221e-05,
    8.9809584255354e-06,
    9.152524183098214e-05,
    3.6464485717463905e-05,
    4.8856312757016995e-05,
    8.065120515112563e-06,
    7.664144230229333e-05,
    6.786881034598805e-06,
    1.1633429695169884e-05,
    2.104428597415572e-06,
    1.6579912017979453e-05,
    7.153095532666726e-05,
    6.565368133925467e-05,
    9.29789763391182e-05,
    7.164365899150644e-05,
    9.035053349571454e-05,
    6.951797830571171e-05,
    9.974029527968905e-05,
    6.947075270480625e-05,
    9.3495482402724e-05,
    9.450812478392421e-05,
    0.00013044951201102015,
    9.342806087397904e-05,
    0.0001098782540611681,
    0.00010611460203023355,
    9.892010694116096e-05,
    9.792510253073552e-05,
    0.0001170403733971225,
    0.0001721144127238128,
    0.0001901488139852043,
    0.00013980602871054563,
    0.00014128220512305367,
    0.00019804288325382509,
    0.0001495221044307814,
    0.00012924319335745992,
    0.00013645731953250732,
    0.00022331462650713419,
    0.00016902082002052143,
    0.00015640803371650696,
    0.00010646476387257796,
    0.00018580964590271076,
    0.00011627574772371196,
    7.178604190440949e-05,
    0.00012096922575149015,
    7.928272512010597e-05,
    0.0001372511733488038,
    9.010817075155165e-05,
    0.00013123011787143608,
    8.58459383273392e-05,
    9.625764659127084e-05,
    0.00011403912727689287,
    0.00018064180872689152,
    0.00013366788592895904,
    0.0001656025907047546,
    0.00012565626230675878,
    0.00013287785465951324,
    9.449052049357108e-05,
    9.736623314600996e-05,
    0.000139665772620322,
    0.00018101431036135243,
    0.00019974202017508462,
    0.00019039109778390333,
    0.00015073803705693278,
    0.00013600164734276797,
    0.00014231610762463498,
    0.00011684082754388798,
    0.0001936170608201745,
    0.00017096831797595025,
    0.00021543703800009186,
    0.0001653540046946484,
    0.00013835941093868223,
    0.00010357731877092649,
    0.0001267580902734812,
    5.6878541475131666e-05,
    8.09479260161322e-05,
    9.425769160116741e-05,
    0.00010553062281534696,
    0.00012612829789004708,
    0.00013199266575843432,
    0.00013124395628099394,
    0.0001354388989100418,
    0.00010305776294270147,
    0.00010259363369653921,
    0.00010994194505079123,
    0.00014209510407277605,
    0.0001197185084227054,
    0.00014276935207252394,
    0.00010362230672552189,
    0.00012407272179833998,
    8.873923215739767e-05,
    0.00014508769822041837,
    0.00012529882111067113,
    0.00024144471820587314,
    0.00014829861434447836,
    0.0002142914770346491,
    0.00012510081514500575,
    0.0002302718229255684,
    0.00011923529147392935,
    0.00015837568838262007,
    8.958650171236393e-05,
    0.00021572130928016272,
    0.00010360234622563128,
    0.00015487970745512944,
    7.458553237567144e-05,
    0.00017348040704343308,
    4.7198186810198195e-05,
    0.00010429091666387732,
    0.00014088038241839295,
    0.00011429642714042224,
    0.00011966964229217108,
    0.00013811320024390467,
    0.00012733483503575313,
    9.46952964593906e-05,
    8.196359957549308e-05,
    0.00014484817980665879,
    0.00013230159736522175,
    0.0001344515477731478,
    0.00011335375082525938,
    0.0001258406789290878,
    9.991766837106208e-05,
    8.976813747978085e-05,
    3.273737148594469e-05,
    0.00017210859799423746,
    0.00012319116860376857,
    0.00017944233328774732,
    0.000111521374092972,
    0.000149601533325901,
    9.631480995010467e-05,
    0.00012288502143994535,
    4.594346580398684e-05,
    0.0001540907779462436,
    8.449153861341743e-05,
    0.00015773875813930805,
    4.470994060463551e-05,
    0.00010766531842173353,
    2.6404735560863693e-05,
    5.838732887810272e-05,
    3.948890170041303e-05,
    7.379231039641261e-05,
    9.952965166074054e-05,
    7.27946998307138e-05,
    0.00010208702635627557,
    0.00010613002745914858,
    0.00013192435649376233,
    9.672806153296413e-05,
    8.270998686143638e-05,
    9.365778115351907e-05,
    0.00012099624442661464,
    0.00010738842202003133,
    0.00010547052309787024,
    0.00013002722718054874,
    0.00011500147943268693,
    9.715258132578217e-05,
    8.19793702369708e-05,
    0.00015619640152956052,
    0.00016220165880450615,
    0.0001962380658217023,
    0.00013974073939912164,
    0.0002149999364964825,
    0.0001491135290842649,
    0.00018591653081057613,
    0.00011127459404864993,
    0.00017300398941396297,
    0.0001183818735454074,
    0.0001702223138932225,
    9.789746716590373e-05,
    0.0001636722020336432,
    9.34085263067982e-05,
    0.00014395458595174466,
    4.7566271138025916e-05,
    8.89000168092907e-05,
    0.00014435240205989166,
    8.15955294657952e-05,
    9.668175530277318e-05,
    0.00011313510225574815,
    0.00012357974895260386,
    6.708881414728708e-05,
    6.827733660255773e-05,
    0.00013297003182003898,
    0.0001454329327482479,
    0.00010028532216579357,
    9.862327194450865e-05,
    0.0001148906002935246,
    0.00010758399686337757,
    7.143354766876004e-05,
    2.666996792996601e-05,
    0.00017834944912369465,
    0.00015527134733255273,
    0.00014214937447557828,
    0.00010370928419919256,
    0.00014627334408030582,
    0.00011089712290466783,
    9.810296606096288e-05,
    4.0597163362901715e-05,
    0.00016503680130721047,
    0.00010738150249711448,
    0.00012066483456854091,
    4.006009396870042e-05,
    0.00011308894880116861,
    3.733348450519972e-05,
    4.298613983663855e-05,
    3.8502894864968786e-05,
    0.00010156494439901178,
    0.00011136806455782084,
    0.0001097708585155185,
    8.86784090144288e-05,
    0.00016630678795321574,
    0.00012477948082604046,
    0.00010728050763990261,
    7.588290876067877e-05,
    0.00011522050174147108,
    8.636194657883022e-05,
    0.0001056297530884329,
    7.055666635159252e-05,
    0.00013118954310506437,
    8.545723970646844e-05,
    9.354014590582304e-05,
    2.3710882256073162e-05,
    0.00018741591177311523,
    9.957588714034912e-05,
    0.0001736435511858189,
    7.662149361994796e-05,
    0.0002210725389043982,
    9.929417317947491e-05,
    0.0001686030826075471,
    4.6000971269306885e-05,
    0.00013276590622347687,
    5.546801910014448e-05,
    0.00012104068474947909,
    1.7033820574486704e-05,
    0.00013129904372074854,
    2.1149636800691883e-05,
    8.228393830779942e-05,
    3.489864748872953e-05,
    0.00011161293919259779,
    0.00010310121647297275,
    7.695987457562695e-05,
    6.359539603916654e-05,
    0.00011469730953662073,
    9.23087288052421e-05,
    6.195973881217181e-05,
    1.871745308976199e-05,
    0.00010336086148747379,
    8.204268487543998e-05,
    7.65187945335692e-05,
    2.1074407261357432e-05,
    9.16353808796869e-05,
    3.082224472623683e-05,
    2.0424710993682985e-05,
    9.096628190644355e-06,
    0.00013762630760218863,
    7.09836894925546e-05,
    9.230779257853158e-05,
    1.685194043592628e-05,
    0.00011441409414404952,
    2.892166014712843e-05,
    3.910428269364764e-05,
    2.8800428449151227e-05,
    9.241814672869725e-05,
    1.3620345799787339e-05,
    3.0158213161283304e-05,
    1.0166149398076943e-05,
    3.526570617265062e-05,
    1.3636139575985236e-05,
    3.1915378398536024e-05,
    2.9696123529219028e-05,
    1.1574372991919817e-05,
    2.6204102232160127e-05,
    2.1306021675125032e-05,
    0.00011755547026944258,
    2.9151473892480452e-05,
    0.00012721963584724026,
    9.430138371484431e-05,
    0.00015080232180868347,
    1.6122080532740147e-05,
    0.00010121699705823007,
    9.075589907478875e-05,
    0.0001563454101480681,
    9.546711866224191e-05,
    0.00014462790711652082,
    0.00011303515345681977,
    0.00016299753642008775,
    2.6728776837827246e-05,
    9.89617540055563e-05,
    0.00010748510060262411,
    0.00014842958520286316,
    0.0001128312091946159,
    0.0001440470058059909,
    0.00015820984112004658,
    0.00017658428817599322,
    7.967939694465867e-05,
    9.503983520389177e-05,
    0.00011935015592098802,
    0.00014155413416463045,
    0.00010811679863622348,
    0.00011640647451320875,
    0.00014838448783299085,
    0.00010660324798230411,
    1.932489292898382e-05,
    0.00014029567486305668,
    9.069388695055023e-05,
    0.00018300864055502677,
    0.00010289277413108374,
    0.0001861952956741888,
    0.00010286829331352401,
    0.00017259971955323295,
    9.747487238661844e-05,
    0.00020841404235101728,
    0.00013367017683047766,
    0.0002457513882221723,
    0.0001321558613732143,
    0.0002163345669710589,
    0.00012441425394217717,
    0.00016003208521849646,
    9.594224521380514e-05,
    0.00014377983523236387,
    0.0001253551292573769,
    0.0001792773304410747,
    0.00012717536918300948,
    0.00016557988321497347,
    0.00014108871083482553,
    0.00013083465184804497,
    0.00010560240681938636,
    0.0001434738502601136,
    0.00014161527381346243,
    0.0001388340303797852,
    0.00012652529000775232,
    0.00011153241553182848,
    0.00010127045821887833,
    7.774948399007385e-05,
    3.100927199044947e-05,
    0.00013134355530304388,
    0.00012790043330280734,
    0.00019617010991150005,
    0.00016959883850276323,
    0.0002332171325061267,
    0.00020835456490121012,
    0.0002518797217272475,
    0.00010480655787049935,
    0.00014909627592665575,
    0.0001598713467225852,
    0.00019688012240871579,
    0.00018642471032428708,
    0.00020667596752713076,
    0.00020740546398397618,
    0.00017858550064005476,
    0.00011389329242885801,
    0.0001242820579449816,
    0.00018159911563777096,
    0.00017994487291547357,
    0.0002100510429436746,
    0.00018655540472736616,
    0.0002624769718526028,
    0.00016943129374874264,
    0.00010359865843377154,
    9.594207910687707e-05,
    0.00016287739126644765,
    0.00010215808088705906,
    0.00016013987840012882,
    9.067323485842187e-05,
    0.00015788260270772575,
    7.444665174308331e-05,
    0.00012124557953975841,
    0.00020712158834548043,
    0.0001520099399729791,
    0.00022564905540795223,
    0.00019304388786406664,
    0.0002598844184982661,
    0.0001787929648461849,
    0.00018896507089503345,
    0.00015315521996895807,
    0.000230886278920173,
    0.00018116714006211762,
    0.0001980684130042512,
    0.00019923462644446565,
    0.00020835425160776455,
    0.00014712250516915747,
    0.00013499216255679437,
    0.00013379592686321332,
    0.00014404903466345528,
    0.00016609321787773343,
    0.00013457727192669352,
    0.00018115688063950525,
    0.00013853350141498466,
    0.00014178999180852956,
    9.482698159023785e-05,
    0.00011675284720971537,
    8.904613324329456e-05,
    0.000118381592269258,
    7.465734864009633e-05,
    0.00011143419497820653,
    6.62175789268857e-05,
    8.074060431893714e-05,
    1.788430378783968e-05,
    3.544412421504232e-05,
    0.00016210740438353765,
    0.00011647267197138411,
    0.00019308797776200893,
    0.00016433136220763672,
    0.00026429084244160414,
    0.00016128257324656792,
    0.00021836449601392668,
    0.00011769917754257388,
    0.0001936995100061746,
    0.00014937224549889668,
    0.00020190481885652925,
    0.0001867555473796447,
    0.00023669451010369712,
    0.00016838799697624048,
    0.00016088221469042274,
    0.00012760269129949545,
    0.0001624308113329689,
    0.00015953256612777724,
    0.00017500031764769086,
    0.00023198939391389046,
    0.00022640443110430282,
    0.00022037538787883078,
    0.0001511128249599308,
    0.0001240614168987532,
    0.0001276391766583189,
    0.00014403941222101426,
    9.939532249175192e-05,
    0.0001802737307203879,
    0.00011154961046040358,
    0.00012747723697940498,
    6.717367513494798e-05,
    0.00012542187237654388,
    0.00025297873030405383,
    0.00013259022889421072,
    0.00021945757754427314,
    0.000182133958717172,
    0.00028257607484264444,
    0.00013876947213510018,
    0.00015816943157132427,
    0.00017237993862043524,
    0.00029358904479235876,
    0.00016740220965927506,
    0.00019963363686416246,
    0.00020017709008228124,
    0.00023432069909385165,
    0.00011652698394251776,
    0.0001149766871187769,
    0.00014637409524805584,
    0.0001833964096093028,
    0.0001437848352056428,
    0.00013014140121013842,
    0.0001942164311665288,
    0.0001644993720231853,
    0.00011361610797253389,
    8.111470678411928e-05,
    0.0001382901319447482,
    0.00012113344297070994,
    0.00010121692719330946,
    7.105992233315031e-05,
    0.00012492858949118702,
    7.81932568448324e-05,
    6.196119939433539e-05,
    1.6393757098342586e-05,
    0.00016341039551853688,
    0.00024025662381231715,
    0.0002049430278994092,
    0.00024272517439257114,
    0.00032131854230867883,
    0.00035447218634514845,
    0.0002878006244687525,
    0.00023609059824694753,
    0.00018461343174246698,
    0.0002196800325201169,
    0.00019960331543756088,
    0.0001635018296161488,
    0.00027795803973926784,
    0.00022668289922524705,
    0.00019559630044272693,
    0.00012680462569051063,
    0.00018051994377322545,
    0.00015245369769456796,
    0.0002071452331602072,
    0.00012015730141483743,
    0.00031399093597881707,
    0.00017374665306021697,
    0.0002315109196115844,
    0.0001008901924656549,
    0.00013680800190218073,
    7.31330376191722e-05,
    0.00011457387056293595,
    4.9912844820033306e-05,
    0.00015832650059787096,
    5.8948699013592315e-05,
    9.744783453069485e-05,
    1.8653899290210928e-05,
    0.00019137539578949913,
    0.0002778539964821872,
    0.00017553946024966832,
    0.000178602532671073,
    0.0002578290960624271,
    0.0002676544765177116,
    0.00015277763898041813,
    0.00012510782886051614,
    0.0002018048543250463,
    0.00021376645926224485,
    0.000139021092437582,
    0.00011949446452837841,
    0.00019537415334638336,
    0.00016715959435015192,
    9.836484475925895e-05,
    4.045247585648809e-05,
    0.00015830812786903737,
    0.00011273455705984349,
    0.00011294690209542627,
    6.348716122547944e-05,
    0.000167373168500056,
    9.385321665695728e-05,
    8.223745855194119e-05,
    1.9884546932635813e-05,
    9.548422386672131e-05,
    4.8694337432336973e-05,
    6.025170884601717e-05,
    1.2397241058857217e-05,
    7.74141855731129e-05,
    1.0774308644563672e-05,
    1.4233094206214148e-05,
    5.252845171964319e-06,
    1.5710600010978982e-05,
    8.751270733810561e-05,
    7.654147393933657e-05,
    0.0001318265131501831,
    7.34544724611629e-05,
    0.00010091386544410615,
    7.827234195824353e-05,
    0.00012757527261246754,
    7.11702034636264e-05,
    0.00010690138083583681,
    0.00010456450199082594,
    0.00016136965843941464,
    8.354211754095153e-05,
    0.00010711366013205124,
    0.00010270998604268648,
    0.0001085456729354792,
    0.00011318944710603785,
    0.00015351245708131178,
    0.00020432561070304545,
    0.0002559659021539692,
    0.00015157603500700167,
    0.00016541793950981468,
    0.00023273965280538018,
    0.00019962364009047407,
    0.00012640303676979064,
    0.00014765029136450485,
    0.00022569737575802524,
    0.00020210838055712528,
    0.0001477164967758641,
    0.00010934710187610213,
    0.00018534269065291514,
    0.00013438516702534662,
    7.751261657107317e-05,
    0.00014189938539138367,
    9.21905482913964e-05,
    0.00017166236685649077,
    8.009699061349733e-05,
    0.00012467770168470078,
    8.560693184812782e-05,
    0.00010602403457771215,
    0.0001097662542804169,
    0.00019116427590690278,
    0.00013978286141824164,
    0.00019186115573280153,
    0.00010392503678325395,
    0.00012000331729528957,
    8.441141970030683e-05,
    9.905536386550014e-05,
    0.00015573976914996538,
    0.00020789549121798782,
    0.00021790000510921447,
    0.00023320580301316887,
    0.00015045220022694692,
    0.0001417617436648101,
    0.00014968031914640368,
    0.00013857998272987675,
    0.00017358574973517284,
    0.00017240681305738783,
    0.0002050397875489085,
    0.00018939643955902081,
    0.00012053503850774616,
    9.981244534540533e-05,
    0.00011661423862932762,
    6.166594169267952e-05,
    8.937423657696279e-05,
    0.00012029097597898783,
    0.00012994060858524266,
    0.0001764813861873333,
    0.0001287039631789069,
    0.00014680785624605007,
    0.0001551676970604151,
    0.0001374452137170324,
    9.939320840902313e-05,
    0.00012112397503795806,
    0.00015127317036978837,
    0.00014678378053650202,
    0.0001262837001236921,
    0.0001042956420581821,
    0.00012412406895004097,
    9.874075772152035e-05,
    0.0001691703840110277,
    0.00017034148697059293,
    0.0002933979196185413,
    0.00022443904323998716,
    0.00022274367033257893,
    0.00015353789082196093,
    0.0002695970416418459,
    0.00017143543555769595,
    0.0001519081733276006,
    0.00010498812656603545,
    0.00022918760582162233,
    0.0001393677774750289,
    0.00014300645081519493,
    8.238168993946062e-05,
    0.00017758652061097054,
    6.44340434156318e-05,
    0.00010605633222568296,
    0.00015736015232133423,
    0.00012782180010337683,
    0.00014967143717940114,
    0.00011874458585100402,
    0.0001238864278977182,
    9.527239519391872e-05,
    9.333724247098256e-05,
    0.00012864707365507397,
    0.00013656205169836416,
    0.00013384746566331022,
    0.00013434477346996166,
    0.00010178789390549127,
    9.539743488691331e-05,
    8.266588528492425e-05,
    3.553838351214654e-05,
    0.00018203486181797996,
    0.0001523738741753381,
    0.00020240543134731492,
    0.00015560913364827075,
    0.00014259711369369926,
    0.00011060207052676345,
    0.00012960465542561768,
    6.680501380272885e-05,
    0.00013770437684551917,
    9.584317725622302e-05,
    0.00015976183214982972,
    6.499481612148248e-05,
    9.470680301852469e-05,
    2.954685370294282e-05,
    5.2454874316752044e-05,
    4.724865187075363e-05,
    9.783031175062677e-05,
    0.00015752759127814854,
    0.00011367688850283889,
    0.000173918919001831,
    0.0001236459854914432,
    0.00016488606577879427,
    0.00012405665225674148,
    0.00012594286289471554,
    0.00011966845369734473,
    0.0001674349100692141,
    0.00014266026060159715,
    0.00015991413478898018,
    0.00013100548105285042,
    0.0001269106319719722,
    0.0001093517696514239,
    0.00010511212765882995,
    0.0002145646920006706,
    0.0002488684084661943,
    0.00027476559327201653,
    0.00024723976366421824,
    0.000256725473567338,
    0.00020368149749129888,
    0.00025118250748794676,
    0.0001875490625416281,
    0.00020373536053768277,
    0.00016357479720887676,
    0.0002223308895442637,
    0.00016104051300686994,
    0.00017515630471259865,
    0.0001161584935576759,
    0.00017455860477431782,
    8.277576241005678e-05,
    0.00011748992069647114,
    0.00020005323241556358,
    0.00011256617447567996,
    0.00014869829410721886,
    0.00011173212202549689,
    0.0001341722810745772,
    7.645090625864934e-05,
    8.731145123141754e-05,
    0.00015508558584098947,
    0.00018859590453754687,
    0.00012562606897119878,
    0.00014280239073123592,
    0.00010542406832636686,
    0.00011196620008146112,
    7.36705047521863e-05,
    3.722441439688921e-05,
    0.000222493163140684,
    0.0002190564455184619,
    0.00018731252835535542,
    0.0001718992887260261,
    0.00015808886079666745,
    0.00014002840749246143,
    0.00011797411470410176,
    7.397837765070475e-05,
    0.00018047711531804845,
    0.00014168071122682408,
    0.0001496038815628371,
    7.989057490362908e-05,
    0.00011044098094564799,
    4.8593344632728436e-05,
    4.867921766192574e-05,
    6.222023605541162e-05,
    0.0001409407941893615,
    0.00017718962986810124,
    0.0001646090535948616,
    0.00015990664472984072,
    0.00018681925546464373,
    0.00016534310096001162,
    0.0001449872502758781,
    0.00011550703968150105,
    0.00014088047430930325,
    0.00012125040851380595,
    0.00014239309766383626,
    0.00011053835045798897,
    0.00013479403415298218,
    0.000100483518487203,
    0.00010890991168179971,
    3.952938099043725e-05,
    0.0002492094384497996,
    0.00016849458843486663,
    0.0002609084755866711,
    0.0001556003090786319,
    0.00025728122683210767,
    0.00015191741093358832,
    0.00023577741793414384,
    0.00011323855477346862,
    0.000159144615626755,
    8.232608540368587e-05,
    0.00017076020808483037,
    4.5480834283382977e-05,
    0.00014132777207744376,
    3.64681142544263e-05,
    0.00010922956739932916,
    7.267408214164608e-05,
    0.00013594718136935853,
    0.00014708805589516667,
    0.00010378254448289141,
    0.00010184213343620236,
    0.00011176543063594762,
    0.00010974788305013715,
    6.994786568507847e-05,
    3.117205397036987e-05,
    0.00011499949851315105,
    0.00010970662474825817,
    9.557792945676623e-05,
    4.2602978282064775e-05,
    8.608183354288741e-05,
    3.871318852782909e-05,
    2.3352452072115334e-05,
    1.5856732616738564e-05,
    0.0001701306896197073,
    0.00011232898490826242,
    0.00013096919944403042,
    5.086376099655249e-05,
    0.0001244547029287715,
    5.229043070135041e-05,
    5.5159869810196306e-05,
    6.631046121627704e-05,
    0.00010482977611256757,
    2.6615027965622387e-05,
    4.863697602028209e-05,
    3.3556042359295815e-05,
    3.6341685653706334e-05,
    2.148126787523101e-05,
    3.650105874095174e-05,
    5.935787845404743e-05,
    2.303897321252351e-05,
    0.00010728219995034916,
    9.207847244862483e-05,
    0.0001394570513603877,
    0.00014018691314412495,
    0.00020419997206792576,
    0.00014334284724467315,
    0.00019863451021594672,
    9.871486172458491e-05,
    0.000144141766547242,
    0.00013220593273263384,
    0.00017777974203177314,
    0.0001833910641499076,
    0.0002211192318695008,
    0.00018381284614326938,
    0.0001835036943867958,
    8.783348730311894e-05,
    9.693841249707653e-05,
    0.00012089491009276916,
    0.0001349535553571677,
    0.00017241390252856575,
    0.00016677855287076755,
    0.0001950179926783605,
    0.0001380134526962867,
    9.110984605829008e-05,
    9.70429573309353e-05,
    0.0001367662087990468,
    9.66200413075802e-05,
    0.00015551242085243988,
    0.00010007455278876373,
    0.00014222332573851287,
    7.747452851019542e-05,
    9.945901483332303e-05,
    0.00017456883303833723,
    0.00010893716739844891,
    0.00017699592694645467,
    0.0001715204998055548,
    0.00024237442768905017,
    0.00014384607165136715,
    0.00016411797392815126,
    0.00015675576956297778,
    0.00024770452109813406,
    0.000163713511280933,
    0.00019473026742847411,
    0.00021897897354048292,
    0.00024107437973865486,
    0.00014656149406633653,
    0.0001461784237164597,
    0.00010126237648965355,
    0.00012263409980102028,
    0.0001237712268472347,
    0.00010832527378668327,
    0.00015866965484083738,
    0.00012580033770844784,
    0.00011497213510681267,
    8.134796240297745e-05,
    0.00011932811181053577,
    0.00010285549720429552,
    0.00010904665558074324,
    7.480229123592655e-05,
    0.000121235315447231,
    7.654232481647419e-05,
    7.910572861526725e-05,
    2.1274449238999902e-05,
    0.00012928733237525954,
    0.0001616130966119392,
    0.00016958688344852196,
    0.00019204439631990313,
    0.00028901577411481776,
    0.0002961813291538235,
    0.0002839066888730675,
    0.00023929346780875716,
    0.00016739817457682042,
    0.0001839048763375873,
    0.00020359863628321604,
    0.00017013011440149866,
    0.0002919982639459569,
    0.00023550372401195282,
    0.00024619980228828247,
    0.0001735185250507965,
    0.00012777147239709938,
    0.00010910756228528657,
    0.00017918750754744922,
    0.0001051038686895209,
    0.0002564828653616493,
    0.0001440339433181873,
    0.00022989706135387092,
    0.00010650744818997427,
    0.00011698059910849641,
    6.634493608080261e-05,
    0.00012480387160325728,
    5.541962332921054e-05,
    0.00014864871797651698,
    6.204733343257713e-05,
    0.0001250461439143305,
    2.2298561462925315e-05,
    0.0001606766394413001,
    0.00020578963902832549,
    0.00016064953988898246,
    0.00015819738416849886,
    0.00025973316666383025,
    0.0002467724542251201,
    0.0001777067622576259,
    0.0001486153314533017,
    0.0002071342741655183,
    0.00019756038974754812,
    0.00016158198043489334,
    0.00013593352872014988,
    0.00023539121266659288,
    0.00019127080478398167,
    0.00014409465456211793,
    7.258193754644764e-05,
    0.0001240815965195631,
    8.445814498066339e-05,
    0.00010656598313202472,
    6.175454067539967e-05,
    0.0001476976026848543,
    8.190439372725819e-05,
    9.410125901546257e-05,
    2.3918463536555735e-05,
    9.286791651755121e-05,
    4.879372151562212e-05,
    7.187943012971178e-05,
    1.1949514882420694e-05,
    8.373625069218602e-05,
    1.2390194942261476e-05,
    2.4243618977471907e-05,
    1.2627498582301534e-05,
    0.00012851577606565133,
    0.00019126471589840074,
    0.00013826270439466317,
    0.00017531812276992394,
    0.00026803023498482527,
    0.0003133184624482953,
    0.00020684335077386244,
    0.00018120149481902023,
    0.00016872543102695436,
    0.00021254816303868028,
    0.00016522030631076508,
    0.00015246923909966923,
    0.00027661133402383177,
    0.0002485051482623614,
    0.00017844925193944236,
    0.00013452797274008448,
    0.00013393495481489975,
    0.00013223746042930013,
    0.0001445314546711655,
    9.203139404892135e-05,
    0.0002663394875252204,
    0.00015875182148180695,
    0.00017002545939530261,
    7.86493534819113e-05,
    0.000122634962909479,
    7.848030946434313e-05,
    9.299780203909401e-05,
    4.7571317822807517e-05,
    0.00015390499134220717,
    6.685573115469867e-05,
    8.747207895568495e-05,
    1.7844097642086627e-05,
    0.00015548890876722292,
    0.00024044336592235472,
    0.00013055625445475164,
    0.00014274630327867102,
    0.00023474911482375968,
    0.0002505135305290957,
    0.00012497486016171987,
    0.0001084654403017715,
    0.00020827276305542802,
    0.00023083113045714763,
    0.00013012272863165914,
    0.0001170852753330561,
    0.00022263964373369442,
    0.00019706983479009422,
    0.00010176870927504507,
    4.636153219857501e-05,
    0.0001277132695584312,
    0.00010405713597922058,
    8.362022735755447e-05,
    5.318508267987308e-05,
    0.00014832153578345813,
    8.70712754875734e-05,
    6.59758944898485e-05,
    1.555675163934954e-05,
    9.950770281200878e-05,
    5.882819831150827e-05,
    5.4204725890156385e-05,
    1.1607391443143234e-05,
    8.404426438468564e-05,
    1.4769776779960096e-05,
    1.3990954670834119e-05,
    8.020075822310183e-06,
    0.00020825635145322932,
    0.0002251823033498304,
    0.0002030019886331101,
    0.00015996532874588718,
    0.0003931414668056967,
    0.0003105706397904644,
    0.00025581122510016414,
    0.00016274094693482076,
    0.00021968984954024757,
    0.0001715623478722607,
    0.00016378770633369757,
    0.00010053304506046307,
    0.0002974392638761955,
    0.0001886841210386875,
    0.00017194135850892147,
    5.951885896257139e-05,
    0.00016553677131362694,
    8.280120372345643e-05,
    0.00012431961950289445,
    4.707759037425335e-05,
    0.00025453730691007433,
    9.308001977821929e-05,
    0.00014229602277258116,
    2.649725219011813e-05,
    9.456821173140337e-05,
    3.4167343540634145e-05,
    6.031920802219168e-05,
    9.115935687097204e-06,
    0.00010510420413769326,
    9.506136618141386e-06,
    3.5523453111320103e-05,
    1.0242541488878136e-05,
    0.00019547771867890954,
    0.00018257906330126103,
    0.00012097339231378818,
    9.03930149187151e-05,
    0.0002386107031994275,
    0.00018639681592873893,
    0.00010974883097478198,
    4.205670522050584e-05,
    0.00017156161095746396,
    0.00013437129998463137,
    9.064051204014382e-05,
    3.2675622008033175e-05,
    0.000171265570862468,
    8.778067570469165e-05,
    3.8800511358912816e-05,
    3.308509423423856e-05,
    9.796152341439815e-05,
    4.604573550381239e-05,
    5.055580432617357e-05,
    6.420406825652466e-06,
    9.894387710469492e-05,
    1.6412734777107805e-05,
    1.7304299278852723e-05,
    8.977846483752491e-06,
    5.262071665279151e-05,
    6.633734042562026e-06,
    9.198881356795794e-06,
    1.2428442407918955e-06,
    1.646537784384369e-05,
    2.394935490529297e-06,
    6.419966543794501e-06,
    2.0150369453898903e-05,
    7.39774241155017e-05,
    9.788229077145652e-05,
    8.668618643894042e-05,
    0.00013100633984272715,
    0.0001063688669141948,
    0.00013139277675690636,
    0.00011243627665643954,
    0.00010759885460560225,
    9.841531605534132e-05,
    0.00012459679386982818,
    0.00012526955845546087,
    0.00013291910136352283,
    0.00013649866831322362,
    0.00012062163015345154,
    0.00011225121249556061,
    0.00010397603276489423,
    0.00013024974865585157,
    0.00013909950581979006,
    0.00020574149532030775,
    0.00016303025195637966,
    0.00018618368016322227,
    0.00012882754247833773,
    0.00019906136294295837,
    0.00013031702399815084,
    0.0001516466720338343,
    0.00011190667822648597,
    0.0001878904210400438,
    0.00012770855593970926,
    0.00014921699736409876,
    9.113603432965486e-05,
    0.0001626438645185404,
    7.058082765830928e-05,
    8.71153942783715e-05,
    0.0001385940241429165,
    9.625817051916746e-05,
    0.0001235352717040541,
    0.00010792831976373937,
    0.00011762059333787262,
    7.736974994314667e-05,
    8.401313979850994e-05,
    0.00013594386365196198,
    0.00015304194452694033,
    0.0001165674199255093,
    0.00012811930392834988,
    0.00011694277002185911,
    0.00011336521266449892,
    8.363736906549003e-05,
    4.082472138977944e-05,
    0.0001489601611255187,
    0.00013297222854969954,
    0.00015159575072177237,
    0.00012566010185697325,
    0.0001233015403616676,
    9.721924371831536e-05,
    0.00010505107203533177,
    5.2712240421601436e-05,
    0.00014788020161957734,
    0.000108872281437547,
    0.0001396589708249141,
    6.448563249137971e-05,
    0.00010377495612716576,
    3.752227851241668e-05,
    5.424470502873874e-05,
    5.923945554117183e-05,
    0.00010768212066119588,
    0.00011628716238777111,
    0.0001440256466484309,
    0.00012541742205219398,
    0.0001708706507992524,
    0.00013183518887442978,
    0.0001387642194241595,
    0.00010356493596653031,
    0.0001265587882945846,
    9.940319027464806e-05,
    0.0001394899992817129,
    0.00010278042442666538,
    0.00014368503773828337,
    9.97167740412792e-05,
    0.00012171386085068414,
    4.320928970486665e-05,
    0.00016764312262566565,
    0.00010161509368487597,
    0.00020387602234194852,
    0.0001105679775389778,
    0.00018846554106156555,
    0.00010137173951297179,
    0.0001906153436204909,
    7.734662023858802e-05,
    0.00012520401639858783,
    6.578485651322381e-05,
    0.0001545623879770713,
    3.850735934327476e-05,
    0.00012304887122995483,
    2.849620884505969e-05,
    0.0001115236274883322,
    6.870646361357096e-05,
    0.00011024869355080059,
    0.00010563083841233652,
    9.78235202566942e-05,
    8.85718191818587e-05,
    0.00011165404137895563,
    9.72495125978671e-05,
    7.564485196006673e-05,
    2.8512081606717163e-05,
    0.00011046396457315,
    9.668940327058385e-05,
    9.949597234243001e-05,
    4.038157489335772e-05,
    9.79328371131667e-05,
    3.978576150201374e-05,
    3.123971479773992e-05,
    2.458742124940403e-05,
    0.00012005702430673041,
    7.571443505915808e-05,
    0.00011037360987125703,
    3.396210380552214e-05,
    9.893279895422894e-05,
    3.280965138022912e-05,
    4.912358198006878e-05,
    4.808209664413134e-05,
    9.269862234650926e-05,
    2.0077726270984563e-05,
    4.9827991220152543e-05,
    2.9657381810893802e-05,
    3.468480260222664e-05,
    1.7153322002360465e-05,
    4.814475097961702e-05,
    6.336557369741443e-05,
    0.00011348985507577849,
    0.00014312821490943372,
    0.00011718615708252238,
    0.00011304971517093444,
    0.00016523025588071464,
    0.00014142036184840135,
    0.000108137217185282,
    9.07285801961274e-05,
    0.0001376618141170379,
    0.0001276856171371185,
    0.00011789049155342813,
    0.00010095265360298614,
    0.00014866079840797036,
    0.00011596774083883186,
    0.0001058780022545352,
    4.3030954072818605e-05,
    0.00019959180356503528,
    0.00014183579001669303,
    0.00017968010673779855,
    0.00011217221237504677,
    0.00021588703231816862,
    0.0001260798767946881,
    0.0001696411271345057,
    7.94513383703831e-05,
    0.00015291540043216304,
    8.916297031583035e-05,
    0.00013688901864591227,
    4.271420399030651e-05,
    0.00014717579510985332,
    4.6647807896978255e-05,
    0.00010414837133541114,
    8.550436130538385e-05,
    0.00011564292923127732,
    0.00013151068309223135,
    8.174462937286961e-05,
    8.377160634926932e-05,
    0.00010710695917816987,
    0.00010278828053064524,
    6.213300815000221e-05,
    2.532387707695816e-05,
    0.00012363335685510878,
    0.00012151638050375339,
    8.571037670218755e-05,
    3.86228746393723e-05,
    0.00010214268820975065,
    4.9032316536170966e-05,
    2.4784287067968482e-05,
    2.303741640393226e-05,
    0.0001408582602074388,
    0.00010128624079919519,
    9.88811390630749e-05,
    3.6471286733956515e-05,
    0.00010953704187247668,
    4.572538296248941e-05,
    4.1133983699225376e-05,
    4.942470638611548e-05,
    0.00011047522913496696,
    3.3007490855338584e-05,
    4.0725209793665175e-05,
    3.569377136495462e-05,
    4.398106209876944e-05,
    3.377823015249225e-05,
    4.1745538075306636e-05,
    7.145467226439054e-05,
    0.00013872432405314414,
    0.00011510296850961114,
    0.00011709944427192644,
    8.13520248893798e-05,
    0.00016740342279976996,
    0.00011809027184114679,
    0.00010874986329283563,
    3.8852002168580535e-05,
    0.00011577174992844073,
    7.964470133649903e-05,
    9.685151615889317e-05,
    2.364411010339749e-05,
    0.000124969015853453,
    3.983152373942435e-05,
    4.955773922436289e-05,
    3.248365392305387e-05,
    0.00016003472887233923,
    7.33242757772523e-05,
    0.00013180795537429775,
    2.8096340298423667e-05,
    0.00017776031005021261,
    5.1713290676047974e-05,
    0.0001256085383605309,
    8.428640705944607e-05,
    9.571023976243966e-05,
    1.2346730357337204e-05,
    5.0954753930044236e-05,
    1.844883530598923e-05,
    6.914006751526271e-05,
    2.6641175707721235e-05,
    0.00012374402549635732,
    9.473079574185247e-05,
    9.299645667753501e-05,
    7.904069466126238e-05,
    6.256476929153288e-05,
    1.6840413157531873e-05,
    8.769211220027393e-05,
    3.557852131773346e-05,
    1.7563362347816822e-05,
    1.3089109987332282e-05,
    8.202588181600547e-05,
    3.068114251857603e-05,
    2.1824144744731042e-05,
    8.821808606211788e-06,
    3.398281797553557e-05,
    1.9167891577815097e-05,
    1.095033365297168e-05,
    2.7258259987445674e-05,
    8.299157678257153e-05,
    1.4882826974303492e-05,
    2.3404581593898202e-05,
    1.3803839016028482e-05,
    4.03839625563107e-05,
    2.8564765887651083e-05,
    3.432344968651266e-05,
    4.9257939560186434e-05,
    2.0756617896268357e-05,
    4.234463653412546e-06,
    1.926824064649967e-05,
    2.140766021010288e-05,
    2.3612628818892214e-05,
    2.5683909068501744e-05,
    4.518833110816082e-05,
    2.0010295639985752e-05,
    6.341819203509393e-05,
    2.276901068377118e-05,
    1.005484866635017e-05,
    2.474008721654285e-05,
    2.3375145844991502e-05,
    3.088170470005395e-05,
    2.136026406963895e-05,
    0.00010550057307519586,
    2.3079117002014543e-05,
    2.466365032430954e-05,
    1.6848541007839885e-05,
    0.00010502303043432697,
    1.9874827858920765e-05,
    0.00010598076658990698,
    8.763447086546266e-05,
    0.00013028309162451234,
    4.210608492805993e-06,
    2.3553554867017716e-05,
    2.4952922127212236e-05,
    0.000102767798173616,
    2.773635435074524e-05,
    9.636337215928344e-05,
    9.133579637841653e-05,
    0.00010560567811039283,
    1.8432865412918864e-05,
    8.158523482617462e-05,
    8.955949658899985e-05,
    0.00011203228324394033,
    8.255238575668505e-05,
    8.933135035518237e-05,
    9.552619972400856e-05,
    0.00010102338159325126,
    3.7681844473384904e-05,
    5.035784720470727e-05,
    1.8965449408004658e-05,
    0.00012786073802079718,
    2.51461265942957e-05,
    0.0001412839283784153,
    8.672196087752541e-05,
    0.00014098677459955055,
    3.196817931035516e-05,
    0.00015570963126000282,
    9.926041100461398e-05,
    0.00020921805451342318,
    0.00010825415328932078,
    0.00019490727117401434,
    0.00011577403160231734,
    0.00018718517498384496,
    2.031937394049777e-05,
    0.00011217207579094134,
    9.664705422476935e-05,
    0.00014653733598753626,
    9.66545633250887e-05,
    0.00012964580144599964,
    9.449248930484404e-05,
    0.00012225517096045298,
    9.055560897260459e-05,
    0.00013347440409069178,
    0.00012376821446205883,
    0.00016734341487936714,
    0.00010771339134173749,
    0.00012823919890397607,
    0.00010706126086177665,
    9.37894097723393e-05,
    3.411053844919457e-05,
    3.16207339278655e-05,
    2.510896440055708e-05,
    0.00011825519092070967,
    4.288535602371559e-05,
    0.0001392310692386024,
    0.00012332669736414315,
    0.00016400850670444578,
    2.3282457513271536e-05,
    0.0001007197071289164,
    0.00010005638800502595,
    0.00014035748886772508,
    0.00012060730422337916,
    0.00014627911232085786,
    0.00014508521872567005,
    0.00016166860284746117,
    2.4801608151941348e-05,
    9.205196320012573e-05,
    0.00010724663602422151,
    0.0001168428793797519,
    0.0001171812714991528,
    0.0001085134172820388,
    0.00014253804851379985,
    0.00012732335350601823,
    8.365693533924807e-05,
    7.817080152188763e-05,
    0.00011279501402545324,
    0.00010028477536400865,
    0.00011002839081394693,
    8.300392361221513e-05,
    0.00013302701183285896,
    7.288713014222707e-05,
    3.5384683387838965e-05,
    0.00014773000174421062,
    0.00010556151141102868,
    0.00017637590327936,
    0.00013578185346827998,
    0.00019255409917832454,
    0.000132944470300276,
    0.00017254194412367316,
    0.00011611718161414046,
    0.00020643209520045168,
    0.00014634590862981314,
    0.0002228907689670288,
    0.000165213410579332,
    0.0002083866410789054,
    0.00015801245847447224,
    0.00015058394786023722,
    0.00010056436110429755,
    0.00011397438409642962,
    0.00012329120647387615,
    0.00013336332984099783,
    0.00012762386018064055,
    0.00011730127358653028,
    0.00012507430524570372,
    9.08016478349688e-05,
    0.00010178313001577417,
    0.00010934376846996774,
    0.0001311336784791857,
    9.66807881760293e-05,
    0.0001170117436265093,
    7.548237671796952e-05,
    9.177151333401132e-05,
    5.4109124405363256e-05,
    2.8665673671580323e-05,
    4.116639179041267e-05,
    2.22901750809181e-05,
    0.00011868928915121705,
    4.0053924374032773e-05,
    0.00016236010894891812,
    0.0001011177453800506,
    0.0001496293142851156,
    2.584499646357053e-05,
    0.0001245288428381716,
    9.40595708527401e-05,
    0.00014285609541986753,
    0.00011880883221945224,
    0.00018023905495779833,
    0.00011344881138729992,
    0.0001506795239093489,
    2.6950312899412914e-05,
    0.0001130611415401875,
    0.00010405626377673627,
    0.00012297545452373,
    0.00012365225300159006,
    0.00014315544784715902,
    0.00011761227673561423,
    0.00012084662280313326,
    9.380478840359704e-05,
    0.00010813128309934607,
    0.00010503643504923489,
    0.00010349329151329231,
    0.00011952883900035932,
    0.00010992903627183516,
    0.0001037059377278576,
    6.587091098132002e-05,
    3.3234015615560224e-05,
    0.0001696438935934803,
    9.067669780345666e-05,
    0.00016566686068161376,
    0.0001262797113833316,
    0.00022675356379993423,
    0.00010079040992862162,
    0.00015322728133705402,
    0.00011938814844974325,
    0.000251472086629771,
    0.00012556795910923887,
    0.00021332423571268522,
    0.00016180818989785565,
    0.00025663075692088197,
    0.00011987823296417366,
    0.00013458424753341758,
    0.00010711075197096878,
    0.00014894742255786966,
    0.00011150806460111164,
    0.00013500387560936753,
    0.00013550659272922765,
    0.000153045319346312,
    0.00010090452899591829,
    8.364297573813154e-05,
    0.00012032319384165739,
    0.00014963206955686482,
    0.00011317309438521195,
    9.554485241598667e-05,
    0.00012845313086704056,
    0.00010126016168171003,
    6.793785026211715e-05,
    4.7812674226658494e-05,
    3.612779042624301e-05,
    0.00013663009564154885,
    0.00010940623730087868,
    0.00015082860505788437,
    0.00016735894383072413,
    0.00021407315929424574,
    0.00016118425250536068,
    0.00017612491748970923,
    0.00010922156261827111,
    0.00015245599439770658,
    0.00012078495483022303,
    0.0001435467078088724,
    0.0001767118913269196,
    0.00018921200841997293,
    0.00014833670473248642,
    0.0001149370394835937,
    0.00010978595592581713,
    9.579853896934046e-05,
    0.0001224810544312958,
    9.604875760725814e-05,
    0.00016584232437821204,
    0.00011646108249288092,
    0.0001552002446677538,
    7.598562150796112e-05,
    0.00010067321777187095,
    7.119872800640931e-05,
    9.879280464419653e-05,
    4.800428807224616e-05,
    0.0001298300248320514,
    5.6670368169691665e-05,
    8.516683727823904e-05,
    3.3907932508941896e-05,
    0.00012447498347582,
    0.0002069952551384418,
    0.00011881070589415278,
    0.00016832565345444158,
    0.00018137661441842013,
    0.00022561317579805645,
    0.00013053690474875324,
    0.00011625742249448945,
    0.00016261945244688998,
    0.00022211085210696317,
    0.00013818026805928889,
    0.00013694544551514254,
    0.00018726515683644158,
    0.00017205875458404997,
    9.955902467159887e-05,
    8.065907901040458e-05,
    0.00011519257997633164,
    9.762296895430569e-05,
    0.00010570556655269116,
    6.453179233856846e-05,
    0.0001367713470888514,
    8.168722034405048e-05,
    7.867488163790108e-05,
    4.1627028450334726e-05,
    0.00010773171092409442,
    5.196586140296365e-05,
    6.889949229346812e-05,
    3.1817532932822e-05,
    8.763755255890853e-05,
    3.8333411157378726e-05,
    4.404656587910648e-05,
    7.648186926215479e-06,
    1.9369328108239953e-05,
    2.4205484146150246e-05,
    1.7503063002311408e-05,
    0.00010821754993652883,
    2.0760536442203844e-05,
    9.696980776887364e-05,
    8.12846735260054e-05,
    0.00011564316581638436,
    1.7720726744507445e-05,
    9.992788614887316e-05,
    9.760946890518198e-05,
    0.00016292868233395725,
    8.453664921465955e-05,
    0.00011348994025129471,
    0.00010828702446553664,
    0.00013701029480570293,
    3.815079932139744e-05,
    0.00013581451201802983,
    0.0001712506794018934,
    0.00023450757903632863,
    0.0001280604112872221,
    0.00015739660808805216,
    0.000206228906120043,
    0.00021755433737703528,
    0.00012768220430996977,
    0.0001657159550222796,
    0.00024092757945717822,
    0.00025471992165232795,
    0.00015205508617609036,
    0.0001544358525959418,
    0.00022734150826712646,
    0.0001693293792528826,
    2.4621179816780285e-05,
    0.00013948823642124757,
    9.360906899833868e-05,
    0.0001862688388328732,
    9.109976890276447e-05,
    0.0001481027585526808,
    9.638461093337292e-05,
    0.00014364329338047626,
    0.00011640034684497579,
    0.00024007702088588268,
    0.00017355828261519737,
    0.00029765385204028115,
    0.00012699990931554274,
    0.00019020127410804836,
    0.00013483270561269364,
    0.00015175651742100276,
    0.00015572003663569397,
    0.0002429361247127052,
    0.00025027895942083026,
    0.00031362598881105923,
    0.00017042522431993056,
    0.00021124386561232925,
    0.00020944886039208353,
    0.00019495550593992049,
    0.00022460088296726797,
    0.00028394288503770445,
    0.0003198432856095122,
    0.0003128099212025607,
    0.00018943839260725982,
    0.00017505232141217786,
    0.00018647953358918553,
    0.0001536670650980474,
    2.2860984473226943e-05,
    0.00010025552119168764,
    0.0001028302023470178,
    0.00014972605273966854,
    0.00010753101277223834,
    0.0001278162026107029,
    0.00012863433165754518,
    0.0001397253434907112,
    9.148037155964474e-05,
    0.000122012934681493,
    0.00014501482413513023,
    0.00017925610647612545,
    0.00012140798593204062,
    0.00012616008959105595,
    0.0001428237001676057,
    0.00011480126666633833,
    0.0001359220621071419,
    0.0001445574966051289,
    0.00024536642189786084,
    0.00022321897069366782,
    0.00018970988737899625,
    0.0001640550356574253,
    0.0002734932464319264,
    0.0001719498320560924,
    0.00015722259962569883,
    0.0001354783088787622,
    0.0002693739791109779,
    0.00017253363975459264,
    0.00018048368740127205,
    0.0001051530799888225,
    0.00021618435343512743,
    0.00011026353420628142,
    0.0001057436867684163,
    0.00017343613841261184,
    0.0001329470601464986,
    0.0001972715005377423,
    0.00012641840497962305,
    0.00016043043280137637,
    0.00012135167273795028,
    0.0001143123363941589,
    0.00015707731515361372,
    0.00021943296536028242,
    0.0002027635723191709,
    0.00021943105166424156,
    0.00014894518652071802,
    0.00013560533310776643,
    0.0001186719997672041,
    0.00010291936126844156,
    0.00019267652475934538,
    0.00019338756276422487,
    0.0002588356300500424,
    0.00020306820494089668,
    0.0001910616194547156,
    0.0001458146607728931,
    0.0001780376854548765,
    0.00012104259898600446,
    0.00021013066459851096,
    0.00014777996767734137,
    0.00025486222837099606,
    0.00015746491448973414,
    0.0001510789139583759,
    9.385980497326611e-05,
    0.00013780977524179605,
    4.560189928533786e-05,
    2.6042797112860248e-05,
    0.0001279043405316602,
    9.567340289358684e-05,
    0.0001516483095316481,
    0.0001097099650969981,
    0.00016400965921229484,
    0.00010871776164113345,
    0.00014327246857543887,
    0.0001056474261109013,
    0.00016698920148005257,
    0.00013610297388229662,
    0.00018792752383275967,
    0.00012913106722067108,
    0.0001667432889158477,
    0.00012473412811322594,
    0.0001246948096615178,
    0.0001702407693810117,
    0.00021148729945121093,
    0.0002444051217714248,
    0.0002475719230229347,
    0.00022153088608925357,
    0.0002289595039653355,
    0.00025217649484502624,
    0.00018870639679031568,
    0.0002048962395565061,
    0.0002010989076435787,
    0.0002539623709158957,
    0.00018711695270655598,
    0.00020727288014031655,
    0.00014957172136778336,
    0.000189528848299843,
    0.00012094959709762056,
    0.00011301201285995688,
    0.0002208838826994576,
    0.00011888533449223581,
    0.00019452034224392791,
    0.00013014955913764862,
    0.00020233026068087835,
    0.0001054438447741986,
    0.00011545504894985967,
    0.0001811460796278846,
    0.0002888337037426386,
    0.00018367527844013237,
    0.00021955257606980034,
    0.00015934382951366592,
    0.00018114008532186537,
    0.00010253629662933208,
    0.00010760558740873233,
    0.00023568209161089584,
    0.00027438460600173953,
    0.00024503261255344786,
    0.00021988044105330194,
    0.0002188386480259369,
    0.00020137794132911384,
    0.000160236379846798,
    0.00012849561956662078,
    0.0002615820530692037,
    0.00021894123995388256,
    0.0002236586157534172,
    0.00016317987650015523,
    0.00017230734195218097,
    0.0001284263170285266,
    0.00011883358776205934,
    5.01627211586418e-05,
    0.00011035967979679812,
    0.00014659167409804345,
    0.00013043084107261304,
    0.00015570556133452453,
    0.00016013508412651876,
    0.00017200852389383692,
    0.00014580201299011782,
    0.00011529201752328116,
    0.00013238886403283854,
    0.00015049824199641937,
    0.0001537015150225336,
    0.0001249424606571749,
    0.00015398690334801518,
    0.00011508420655367776,
    0.0001170342350803583,
    8.119772094977181e-05,
    0.00019145772315052546,
    0.0001395937652444672,
    0.00024001399410310872,
    0.00013218443261589296,
    0.0002528186473156654,
    0.00014118749510819546,
    0.00022291835344034403,
    0.00010564129012676535,
    0.00017723958940163241,
    8.790816372024865e-05,
    0.00018253529065493385,
    7.558608867442714e-05,
    0.0001658759377378019,
    7.158882420301368e-05,
    0.00014265971343281435,
    2.6361611451417236e-05,
    0.00014275319145045688,
    0.00019166638383499098,
    0.00013184461984847633,
    0.00012491639837575226,
    0.00015048447238017216,
    0.00013915002754482118,
    8.785719938307069e-05,
    7.412180050233494e-05,
    0.0001741692284425121,
    0.00016740264554349153,
    0.00013584744005777768,
    0.00011283598469959262,
    0.0001217334916750854,
    0.00010168287078779423,
    7.68682187030808e-05,
    2.7543906146829308e-05,
    0.00019858201573210092,
    0.00011879066901446936,
    0.00016180396443778736,
    8.43022912011244e-05,
    0.00016432061507393978,
    9.612272034832568e-05,
    0.00010417417886258151,
    2.8466053739823475e-05,
    0.00014808736835952957,
    7.038856778230434e-05,
    0.00011825099028423795,
    2.317138754452789e-05,
    0.00010316386442745721,
    2.1847039834560837e-05,
    3.3870460884238765e-05,
    1.3080213597923528e-05,
    1.822294313595843e-05,
    2.7634507791215546e-05,
    2.0588229402592276e-05,
    0.00010551514413669177,
    4.271319397751207e-05,
    0.0001496137777338284,
    0.00011342253024828527,
    0.00015851372064205394,
    2.586913101816894e-05,
    0.00011705173480797578,
    0.00010630395803112011,
    0.0001592521362774179,
    0.00014954693032631988,
    0.00019810414047472934,
    0.0001694167839810523,
    0.0002033745400568905,
    2.4706165602714444e-05,
    8.677886530431589e-05,
    9.181777747564812e-05,
    0.00010726849578754221,
    0.00011308288027062003,
    0.00011887666893006148,
    0.00012436465550169388,
    0.00012615789472503566,
    9.017913249085915e-05,
    9.864434999089926e-05,
    0.00012252653863045897,
    0.00012377409610458105,
    0.00012758170376080298,
    0.00011420879569176688,
    0.0001467232327758943,
    9.451241616517827e-05,
    2.6935763147885088e-05,
    0.000141015101659943,
    9.200167744221367e-05,
    0.0001614624815916822,
    0.0001439253043222333,
    0.00023165070439544732,
    0.00013329573796073743,
    0.00018868148977555673,
    0.00013706480194513205,
    0.0002581532335576669,
    0.0001640300361555252,
    0.00025833868713077306,
    0.0002316351169023504,
    0.00030733377547384233,
    0.00019912077976759409,
    0.00020982072219187026,
    9.222559780443195e-05,
    0.00011965241173614897,
    0.00010459376397749457,
    0.00013264727460665806,
    0.0001303509422085098,
    0.00014264898470262063,
    0.00012168763248347688,
    0.000100545479083657,
    0.00012903793527164394,
    0.00015673778072112826,
    0.00014924579266146636,
    0.00012931510092075203,
    0.0001537616346065325,
    0.0001180492135719043,
    0.0001130978906961685,
    7.48594177408225e-05,
    3.251324527034168e-05,
    0.00012112600797162494,
    0.00011556662343352358,
    0.00015067743606229892,
    0.00019594943507751677,
    0.00022339860836676826,
    0.0002044310029759005,
    0.00021314787835132083,
    0.000129328209019779,
    0.00016253952516017393,
    0.0001637409527204223,
    0.0001819854711159008,
    0.00024568415861824704,
    0.0002299496948012617,
    0.00024061469021930754,
    0.00018593732208428262,
    9.905131054802525e-05,
    8.56364882643708e-05,
    0.00011909714751696651,
    0.000102633093650315,
    0.00016592219863894155,
    0.00012311837030103782,
    0.0001795718851128229,
    9.77956069343976e-05,
    0.00010649011168476025,
    8.188774422990855e-05,
    0.00013029306253814637,
    7.074097051046277e-05,
    0.0001501216021687617,
    7.21856127366739e-05,
    0.00013222385638602538,
    5.463408818145308e-05,
    0.00012958272169738905,
    0.0001970112075632232,
    0.00013500131511873237,
    0.00018368982840057585,
    0.0002352232980646823,
    0.0002618860554239987,
    0.00018838422785733894,
    0.000168307453322566,
    0.000212551397721507,
    0.00026056593844040686,
    0.0001994118119706789,
    0.0001906089575478044,
    0.0002844373591064062,
    0.00023652048182228085,
    0.0001894108863190613,
    0.00014317343702475383,
    0.00010780420614190305,
    9.756400758854972e-05,
    0.0001104600589735807,
    7.67053439184282e-05,
    0.00015002121303564047,
    9.241389995514785e-05,
    0.00010533330968230576,
    5.7868083792023195e-05,
    0.00012693418851738683,
    7.005905239634368e-05,
    0.00010280157624361703,
    5.2165895209405716e-05,
    0.00011548239495264125,
    5.450573588185903e-05,
    7.525627015349869e-05,
    1.148765797466296e-05,
    2.970921841496442e-05,
    0.00012868903454553793,
    9.388214873751388e-05,
    0.000132106019468141,
    0.00016692719449732106,
    0.0002366845948301661,
    0.00014073237097482575,
    0.00016919069374318873,
    0.00012140131672345855,
    0.00018080211159988906,
    0.00013068826617228246,
    0.00016391656945350663,
    0.00021972548169895263,
    0.0002571131113856811,
    0.00017103791352195822,
    0.00015461537989355548,
    9.899643164918998e-05,
    0.00010401788545898503,
    0.00010259303249762444,
    9.97186865742336e-05,
    0.00016265592868892393,
    0.00014265331186501143,
    0.00013611282114192879,
    7.953231694069324e-05,
    0.00011440409351157329,
    0.0001031166172666946,
    0.00010938773712520834,
    6.49957963053284e-05,
    0.00015387917136740662,
    8.668072057123594e-05,
    9.396616487915379e-05,
    4.502208857201047e-05,
    0.00011223562175895605,
    0.00020387748267938554,
    0.00010002897418372833,
    0.0001561233777372157,
    0.00019776774498237462,
    0.00027543216264698815,
    0.00012807589439765745,
    0.00012999212660346512,
    0.00019217473896293558,
    0.0002891985320229107,
    0.00015335955113357803,
    0.00016601658659995422,
    0.0002621283681840626,
    0.00026881411011590785,
    0.0001327776883630923,
    0.00011618593890415387,
    0.00010698121254119918,
    0.00011970694369380456,
    9.290496905948218e-05,
    7.274756835253855e-05,
    0.0001489333973414998,
    0.00010916436209684367,
    7.692873234167348e-05,
    4.8198512638295334e-05,
    0.00013636075613626238,
    9.427029793974723e-05,
    8.031863848074458e-05,
    4.557139503983248e-05,
    0.00012186807575704123,
    6.46931877040564e-05,
    5.4259812551066535e-05,
    1.0844906412726473e-05,
    0.0001297161958483373,
    0.0001606619928771462,
    0.00012957336957512467,
    0.00014138945126946574,
    0.000265016230026391,
    0.0002534142339377323,
    0.00019872064226025759,
    0.00014702453051930976,
    0.0001714485975529471,
    0.00018136018494709747,
    0.00014804243530121709,
    0.00010836801919669141,
    0.0002677336424323536,
    0.00018902720818810424,
    0.00016422290080503771,
    9.721415029876126e-05,
    0.00011061027964666004,
    6.908459785743673e-05,
    0.00010566148719316678,
    4.560810538217723e-05,
    0.00019165860360371957,
    7.938644009541019e-05,
    0.00011808586744325192,
    3.8804097034018885e-05,
    0.00010399431433821889,
    3.9279929040538356e-05,
    6.658229851340838e-05,
    2.361115954479593e-05,
    0.00011510306746688496,
    3.4506347773841305e-05,
    6.207550139529096e-05,
    7.42510533318252e-06,
    0.00015731375872004967,
    0.00019786666418002502,
    0.00011820408666996475,
    0.00010234624603373272,
    0.00023808083863462265,
    0.00019715786227644878,
    0.00011769226976332223,
    8.103850545835858e-05,
    0.00020659722591867224,
    0.00018032216011930796,
    0.00011070472810024018,
    8.250361301124812e-05,
    0.00021026436473587832,
    0.00014684637726567184,
    9.32626131362128e-05,
    3.0643501236363915e-05,
    9.920202887382247e-05,
    4.488760712347097e-05,
    5.7077855439582095e-05,
    2.512058104306558e-05,
    0.0001093738738861768,
    4.5325291792966116e-05,
    4.789684045487024e-05,
    5.698791600995716e-06,
    7.026553663288765e-05,
    2.5177468545438924e-05,
    3.680698970345295e-05,
    9.234703188270884e-06,
    6.162354377132493e-05,
    7.798081526170055e-06,
    8.547746912826804e-06,
    4.2081687978897714e-07,
    2.011009427642655e-05,
    9.817268586645958e-05,
    9.051676429120241e-05,
    0.00013590534706838523,
    0.00011087289034726607,
    0.00014486739382820916,
    0.00011898476750597267,
    0.00014676867704525572,
    0.00010718409557529949,
    0.00015385907772690776,
    0.00015961981262018225,
    0.0002043732399709856,
    0.0001652820268617893,
    0.0001841966908100885,
    0.00017700757323108737,
    0.00015948305794087414,
    0.00012678800277000885,
    0.00014845137083049036,
    0.00021739330220639356,
    0.00022051390617534714,
    0.00018927446177738935,
    0.00018530199805058176,
    0.00025063667929181485,
    0.00017817191412451146,
    0.00019777841634955646,
    0.000192538063654623,
    0.00030331417515886945,
    0.00021999592229910488,
    0.00023675583182122679,
    0.0001618738313482053,
    0.0002533638504153697,
    0.000151962440645025,
    0.00010007278643129738,
    0.00017828050360152998,
    0.00011896917568561001,
    0.000197645378111644,
    0.00014460011999523032,
    0.00020500830575572864,
    0.00012999129972458487,
    0.00014196390178055528,
    0.00019482054796673943,
    0.0002927164649806729,
    0.00022208918020223608,
    0.00026265045673269817,
    0.00021902707078848613,
    0.0002261491698234185,
    0.0001594423491081107,
    0.00015388775798495295,
    0.00018250926445704025,
    0.00022276996321538085,
    0.00024386588560233732,
    0.00022588921614166585,
    0.00021035744163672778,
    0.00018842116176446484,
    0.0001873452212614013,
    0.00014602325453958633,
    0.00028079574876859327,
    0.00024570320435046374,
    0.0002954393002258799,
    0.00022032226531588264,
    0.00022170633744842972,
    0.00015960307285925156,
    0.00017962726812096667,
    8.662611100452776e-05,
    0.00010475348798823838,
    0.00012477365728666114,
    0.00013812011260143305,
    0.00015917323322927338,
    0.0001803477763898661,
    0.00017367027950682736,
    0.00017492720870237826,
    0.00013402984142938862,
    0.0001553269648276624,
    0.00016095660996597708,
    0.0001993429639315622,
    0.0001586346184971308,
    0.00020976866136229844,
    0.00014654401638769648,
    0.00017644351271056197,
    0.00011596236107248689,
    0.0001608102776795781,
    0.0001261456024721755,
    0.0002405506308819256,
    0.00013980011164817032,
    0.00024139447438816116,
    0.00013559684945792466,
    0.00024005137374023976,
    0.0001168465161609993,
    0.00019298747654675986,
    0.00010610193518283802,
    0.00023646115852562992,
    0.00010560832481578613,
    0.00019972005211414462,
    8.855600484942011e-05,
    0.00019834079053658043,
    4.665792873587241e-05,
    0.00013847530139406215,
    0.00018237034135393042,
    0.0001459523896376001,
    0.0001448943096233275,
    0.00018473856600066172,
    0.00016240323559951387,
    0.00012238989928222446,
    9.921100327166147e-05,
    0.00021106967499506305,
    0.00019674522745942815,
    0.00018599480492532754,
    0.00015365716725792533,
    0.00018342642404428584,
    0.00014133321593350553,
    0.00012360571637418154,
    5.15099864611142e-05,
    0.00017875918678626467,
    0.00012066383229047339,
    0.00017683604119676249,
    0.00010194162777673787,
    0.00017412999378340775,
    0.00010313721515769156,
    0.00013223745297857528,
    4.09003006053847e-05,
    0.0001817638051752989,
    9.368907276585537e-05,
    0.00017082312900975073,
    4.638500028456579e-05,
    0.00013945202456660578,
    3.439068543319506e-05,
    7.032452390904096e-05,
    3.765439517838688e-05,
    0.00010181797877856722,
    0.0001419702818315775,
    0.0001109022908179605,
    0.00014017808777347634,
    0.0001670451464290797,
    0.0001951112485713245,
    0.0001393853313941734,
    0.00012043724223198473,
    0.00015711492561307282,
    0.00018978689334179236,
    0.0001661080021503217,
    0.00015029294583260593,
    0.00021041518843365644,
    0.00018477492859252402,
    0.00014875880702799941,
    0.00011600642968405713,
    0.000183597022152309,
    0.0001671877695666011,
    0.00021872397064080781,
    0.0001415349832230523,
    0.0002629099141598495,
    0.00017331302256503987,
    0.00020878658286936004,
    0.00011543147837496769,
    0.00022496904864408038,
    0.00014625683144207897,
    0.00020546997005522932,
    0.00010689637188771614,
    0.00022595790977406863,
    0.00011959299239268332,
    0.00017331377902662614,
    5.0818090050947067e-05,
    0.00013225545938163783,
    0.0002051732129167307,
    0.00011937512082804894,
    0.00013039981520422404,
    0.00017616721269306246,
    0.0001888510152020108,
    9.956087969167011e-05,
    9.205802554957719e-05,
    0.00021595674784139683,
    0.00023907453650714048,
    0.00015236287246529125,
    0.00014459798292218803,
    0.0001942237937814339,
    0.00017863093669745098,
    0.00010548679238237528,
    4.967146538471975e-05,
    0.00019969934393170146,
    0.00016430552553623858,
    0.00015796404370580758,
    0.00010456417657252991,
    0.00019250244644077995,
    0.00013395347682278473,
    0.00011582244806002614,
    4.1830526014056346e-05,
    0.0002134925513976958,
    0.00013219270024402644,
    0.00014343026824467552,
    4.773816843881483e-05,
    0.0001606835884060203,
    5.6428669059974967e-05,
    5.650701113269306e-05,
    4.2469231565490696e-05,
    0.00013275980900460675,
    0.0001377114394109225,
    0.0001316359792567487,
    9.805690092182507e-05,
    0.00021222984758968968,
    0.00015428441947781628,
    0.00013490083392215252,
    8.232314243973589e-05,
    0.00016692870602584762,
    0.00011641318961168373,
    0.00013119605406306152,
    7.956475731371057e-05,
    0.0001833089582830253,
    0.00010938765365645663,
    0.00011661266842943848,
    2.80292131349043e-05,
    0.00016831420974730836,
    7.731605944847308e-05,
    0.00014785863127910118,
    5.566699230340565e-05,
    0.0002219939785499986,
    8.705115471991656e-05,
    0.00015234344671073182,
    2.6926635838295487e-05,
    0.00013887740816980642,
    4.850411600703037e-05,
    0.00010865335115339326,
    1.183044791275749e-05,
    0.00014570885899268447,
    1.8407507052738333e-05,
    7.077199814769544e-05,
    1.7248375383996404e-05,
    0.00014243575520192183,
    0.0001243071748158756,
    8.841165488842713e-05,
    6.65465256712598e-05,
    0.00014888135730434473,
    0.00010997577676864098,
    7.305563289253438e-05,
    2.0086253168929933e-05,
    0.00014941995276879173,
    0.00010819548402639075,
    9.305892647685474e-05,
    2.910055358839108e-05,
    0.00012795120607415848,
    4.9932485200951766e-05,
    2.970545033022713e-05,
    1.0201404084933032e-05,
    0.00012080634968645391,
    5.4817302029457834e-05,
    7.620140327961715e-05,
    1.134631924948515e-05,
    0.00011704118277109556,
    2.2859533688996197e-05,
    3.0424014538271458e-05,
    1.2490053624451895e-05,
    9.219764250561258e-05,
    1.4663579991328285e-05,
    2.565762701604672e-05,
    2.3795827904285255e-06,
    4.099408704347724e-05,
    7.683161087913476e-06,
    2.4817344832037236e-05,
    1.586912919058455e-05,
    2.530470827060501e-05,
    3.307330360463594e-05,
    2.1370296843621515e-05,
    0.00011443908179147754,
    3.394369590495575e-05,
    0.0001406307140719054,
    0.00010198074334730111,
    0.00015180131257881238,
    2.2478301563026517e-05,
    0.00010966126554120711,
    9.672007424595916e-05,
    0.00015367390672970174,
    0.00011146812264310808,
    0.0001626935540012695,
    0.00013390603757942613,
    0.0001759330355039038,
    2.437460546036902e-05,
    9.54656870052651e-05,
    9.669999086883309e-05,
    0.00012328930806150573,
    0.00010607719159786105,
    0.0001245589470137515,
    0.00011758931581252814,
    0.00013150389857164848,
    8.185724423960562e-05,
    9.158416919361894e-05,
    0.0001136744482697315,
    0.00012431897365028225,
    0.00010239871292133101,
    0.00010226712647163606,
    0.00012597530072623218,
    8.982438593126119e-05,
    2.64290880412515e-05,
    0.00014758787209171492,
    8.903351150655125e-05,
    0.0001679783302165332,
    0.00011427049524928572,
    0.00020287823594292574,
    0.00010413073431027407,
    0.0001656918558479517,
    0.0001071484672310583,
    0.00022403401362344533,
    0.0001350352362449865,
    0.00024058293877515517,
    0.00015007939225237905,
    0.00024261568893561868,
    0.00014067014759020456,
    0.00016885554015883342,
    9.110387233097643e-05,
    0.00013153993048385247,
    0.00010545289907656624,
    0.00014543571351584167,
    0.00011398139228739048,
    0.00014243646283044234,
    0.00010529733137786923,
    9.959496263907958e-05,
    9.617373384474947e-05,
    0.00013859372252401553,
    0.00012397247279318416,
    0.0001244868299787131,
    0.0001108061135822309,
    0.0001023060161033838,
    8.521546724612617e-05,
    6.930992675193416e-05,
    3.3192914201983975e-05,
    0.00012559986162489651,
    0.0001150474835815827,
    0.0001566282070562803,
    0.00016151402905139207,
    0.00020634035537170174,
    0.00017732859751706405,
    0.00020017492013797489,
    0.0001050985181098507,
    0.00013870594805195303,
    0.0001425872389412493,
    0.00016566486358585218,
    0.00017669931527891435,
    0.00018851548308136876,
    0.00019254566532415023,
    0.00015659818721037628,
    0.00010008116894852087,
    0.00010291512903512598,
    0.00013354793682991134,
    0.00012653552901150343,
    0.00015533448477952615,
    0.0001340047248116511,
    0.0001759043623400519,
    0.00010900274555226241,
    9.014719656944462e-05,
    8.129068145065356e-05,
    0.00012775806980925753,
    7.891399252872474e-05,
    0.00012386589609147096,
    6.991079875227792e-05,
    0.00011893736966018014,
    5.6248718149210436e-05,
    0.00011521582635393622,
    0.00019440584951681869,
    0.0001242141500030585,
    0.0001817481380605056,
    0.00017337303056600713,
    0.00023011245149367953,
    0.00014624471640080057,
    0.00014830315387203945,
    0.00014916395948700675,
    0.00021236486695311156,
    0.00015937729218729662,
    0.00017097138716787752,
    0.00018613354761854933,
    0.0001875923257405122,
    0.0001335555517090209,
    0.00012054347108016763,
    0.00010830089252108506,
    0.00012021810863829218,
    0.00011894258127642427,
    9.580505044296866e-05,
    0.0001339654420175534,
    0.00010284153230410581,
    9.647029412334267e-05,
    6.426584335864481e-05,
    9.914373419201207e-05,
    6.947298705485648e-05,
    9.158279816279522e-05,
    5.792394043790518e-05,
    8.821467964056565e-05,
    5.329425566618568e-05,
    6.389632758640688e-05,
    1.068325215067201e-05,
    4.2703453282029086e-05,
    0.0001657219857238099,
    0.00011380254999944997,
    0.00017378656552126273,
    0.00017097080745620598,
    0.0002642001498476202,
    0.00015192845138268453,
    0.00019425123431728998,
    0.00012839079094804164,
    0.00020215076141818554,
    0.00015181129778602206,
    0.00019636061590706864,
    0.0001995231790871666,
    0.00025108033243628275,
    0.0001694738994214615,
    0.0001596522697521639,
    0.00011809590705031759,
    0.00013889704185620475,
    0.00013364145116766032,
    0.00013751837485545304,
    0.00017923936178891709,
    0.00017182021573587878,
    0.00015734481024168211,
    0.00010460389660930995,
    0.00012000259948771727,
    0.0001182153605215344,
    0.0001314742048974769,
    8.67130951831033e-05,
    0.00015062542045543684,
    9.388222170039882e-05,
    0.00010247015266826375,
    5.318695906582974e-05,
    0.0001270169591857931,
    0.00025532157140964045,
    0.00011836675747375969,
    0.00019712070653915735,
    0.00017968555610838676,
    0.00028513071975469354,
    0.00012114859869510429,
    0.00013828988730775523,
    0.00018178222166802442,
    0.0003045392121884073,
    0.0001626417924150119,
    0.00019755554569752422,
    0.00020869785925090655,
    0.000249170334121638,
    0.00011261275727020225,
    0.0001156376068375147,
    0.00012465327811167455,
    0.00015825732801488945,
    0.00011267452103793423,
    0.0001021164354389368,
    0.00015015029735757996,
    0.0001302413803183406,
    8.187116085145877e-05,
    5.9619437541417044e-05,
    0.00012700717596401454,
    0.00010544919311861909,
    8.86828743472853e-05,
    5.949196620181958e-05,
    0.00010649589066412933,
    6.922914363007261e-05,
    5.2653001446530415e-05,
    1.1317613077002144e-05,
    0.00015148519266360667,
    0.00020551756224462583,
    0.00016483687582288697,
    0.00018375384235619162,
    0.0002676166032039453,
    0.0002842249889011616,
    0.00021693824123101077,
    0.00017414114336324892,
    0.00017439468529144284,
    0.0001923079255086288,
    0.00017317219546109113,
    0.00013020555996601972,
    0.00024586732253661296,
    0.000187245698919913,
    0.0001657297871356825,
    0.00010376316277551989,
    0.0001395845328595544,
    0.00010138561463938728,
    0.00014438634765497445,
    7.291371552640353e-05,
    0.00020807007685796217,
    0.00010300859696761904,
    0.00014170115684586832,
    5.573295835013029e-05,
    0.0001134900233897691,
    4.8775059831810445e-05,
    8.758865098959261e-05,
    3.2295255548027626e-05,
    0.00011582637468754381,
    4.0950904217921715e-05,
    6.858772905062532e-05,
    9.56877202392624e-06,
    0.00017284264682408316,
    0.00024064194254462567,
    0.00013891653184552527,
    0.0001343207769619727,
    0.00021541032190090307,
    0.00021184318857455929,
    0.00011367959693452161,
    9.221111409344051e-05,
    0.00018649406614296957,
    0.00019140972447162554,
    0.00011894434356819868,
    0.00010149261873216688,
    0.00017019568335242195,
    0.00014384999791747046,
    8.523399023137295e-05,
    3.3034606921323144e-05,
    0.00012092891359313271,
    6.964176269630332e-05,
    7.669322464091886e-05,
    3.840052089830044e-05,
    0.00011447294383280458,
    5.851697236197955e-05,
    5.365523547757732e-05,
    7.828861514055065e-06,
    6.961924904986996e-05,
    3.3004125538832745e-05,
    4.343696308414599e-05,
    8.149011018813746e-06,
    5.878762802370961e-05,
    7.98258672593198e-06,
    8.368512897748456e-06,
    3.6245224544487045e-07,
    2.1627448111594507e-05,
    0.00011282608134278686,
    9.991262498371702e-05,
    0.0001672663208549603,
    0.00010093030575116328,
    0.0001422011047895822,
    0.00011621980230765078,
    0.00016104528228401944,
    9.843001618576551e-05,
    0.00015341876016220925,
    0.00015472547026169415,
    0.0002169109212046759,
    0.00012810490324808107,
    0.00015897183228257564,
    0.00014814618252620502,
    0.0001487730208652646,
    0.00013544094480102004,
    0.0001752592582412239,
    0.0002286778615676034,
    0.0002595733692232642,
    0.00017533839533783892,
    0.00018857099320286418,
    0.0002463453289541152,
    0.00020095225728827595,
    0.00016533764708108706,
    0.0001782652897742574,
    0.00025993749870995545,
    0.00021930633114621034,
    0.00018091275862139517,
    0.00013686618426158047,
    0.0002080475716214998,
    0.0001456177738519668,
    9.965722521899746e-05,
    0.0001935908347300702,
    0.0001231129689711594,
    0.0002178684731449718,
    0.00011221351422997112,
    0.00017541776628180467,
    0.00010893180775686875,
    0.0001318822721166833,
    0.00016393767102880613,
    0.00027463452694854366,
    0.00019934625576188897,
    0.00026116561993307476,
    0.00015332796771282402,
    0.0001762542293755879,
    0.00011762594453055675,
    0.00013114448805770867,
    0.0001823907910425528,
    0.0002380587938653047,
    0.00023221018812395126,
    0.00024187282443203977,
    0.0001747342408639581,
    0.00017202630885837392,
    0.00015958478206012838,
    0.00014548507772602009,
    0.00021317291389704598,
    0.00020866148651372415,
    0.0002316469551693115,
    0.00020812809447076497,
    0.0001515886004580572,
    0.00012766398381401317,
    0.00013256706863707938,
    7.066809655801473e-05,
    0.0001059744926098367,
    0.0001431656224751339,
    0.0001471268337742978,
    0.00018585183699391692,
    0.00015185479376538463,
    0.00016801600679887453,
    0.0001640608196547632,
    0.00014400869893152186,
    0.00013155681197718865,
    0.00015255879606441527,
    0.0001824363810407751,
    0.00016035945243292966,
    0.00015908440355912368,
    0.00012403038654376544,
    0.00014489015602620972,
    0.00010859116240752114,
    0.00017733041340463313,
    0.00016284790952524067,
    0.00026475883244352023,
    0.00018610633972728567,
    0.00022404307794212579,
    0.0001495362942367003,
    0.0002382140422773395,
    0.00014101719472740104,
    0.0001672172509378934,
    0.00010764950705058079,
    0.0002188096858628643,
    0.00012041320198386743,
    0.0001565352545774928,
    8.48625370803944e-05,
    0.00016865465664371823,
    4.8532270158597454e-05,
    0.0001310371597183551,
    0.0001907274608122433,
    0.00014281404371108624,
    0.00015629032872232845,
    0.00013877245316108126,
    0.0001406282973289168,
    9.895167627405182e-05,
    9.685344848086001e-05,
    0.00016756934472587386,
    0.00017976776988063822,
    0.00015799571400652274,
    0.00015365363685111138,
    0.00012404059761741626,
    0.00011651684138474372,
    9.393480075784165e-05,
    4.524373964234351e-05,
    0.00018684827954106614,
    0.00014642704040488232,
    0.00018198843635642078,
    0.00012868351939811194,
    0.0001490765846955076,
    0.00010802191929389245,
    0.00011823136925019677,
    4.757709006613928e-05,
    0.00014437987864710723,
    9.539846364945115e-05,
    0.00014934247305036253,
    5.352913182662609e-05,
    0.00010446863093385294,
    3.056409089523731e-05,
    4.836891362913422e-05,
    3.1846671856337606e-05,
    0.00012876049901504284,
    0.00020279534712901965,
    0.00015004554741525399,
    0.00020663136621482505,
    0.00017220428381684838,
    0.00021825204104040263,
    0.00015598811726317595,
    0.00015443586802470433,
    0.00017692710450865204,
    0.00022794789181255048,
    0.0001969211213261691,
    0.00019419359899161762,
    0.00018934949642742839,
    0.00017577774869409309,
    0.00014485931015422753,
    0.00012711991120265042,
    0.0002325640176186892,
    0.00023405457661914876,
    0.00027376418781136684,
    0.0002163955417823683,
    0.0002725288229380304,
    0.00020550919214388846,
    0.0002408372403098129,
    0.0001641660100692981,
    0.00023028523255815692,
    0.00017023250325326676,
    0.00022959631504269103,
    0.0001475783154008498,
    0.00020017810100851028,
    0.00012447937901525818,
    0.00017412462707423878,
    6.809291185715437e-05,
    0.00016002440312890925,
    0.000262214275099348,
    0.00014534521943568695,
    0.00017521189570416574,
    0.0001548207934243379,
    0.00018163681215627224,
    9.389151404856306e-05,
    0.0001016340321187215,
    0.00022186206408091112,
    0.00027172681640284455,
    0.0001652861863623316,
    0.0001810565505915867,
    0.00015056831492766333,
    0.00015874586823841756,
    9.243696965476559e-05,
    5.314796740377722e-05,
    0.00023122814078668118,
    0.00021247391376080974,
    0.000183624590814466,
    0.00015098599052649697,
    0.00017663171104487192,
    0.0001467241439787156,
    0.00011669793737529747,
    5.992090125668196e-05,
    0.00019737150263093986,
    0.00014906028839408743,
    0.0001503312960474168,
    7.204321122200086e-05,
    0.00012931406112803005,
    5.56744420734523e-05,
    4.935704346755837e-05,
    4.7920847106156815e-05,
    0.00017219445329020504,
    0.00019596692178255553,
    0.00017706880016288892,
    0.0001484473906129386,
    0.0002142824981804248,
    0.0001766426983354977,
    0.00015298255092088223,
    0.00010782870362012003,
    0.00018403708069062756,
    0.0001430194687466616,
    0.00015593823746909083,
    0.00010785791947167074,
    0.0001634780551498396,
    0.0001111784082124537,
    0.00011623659932392296,
    3.797089153184743e-05,
    0.00022186827027420488,
    0.00012746062725682263,
    0.0002060538500837094,
    0.00010058092254079846,
    0.00023436899366594758,
    0.00011869032449178609,
    0.00018260403755319623,
    5.750066634580911e-05,
    0.0001529054981654869,
    6.605083840846842e-05,
    0.00013722735080486746,
    2.4899767975116412e-05,
    0.00013620027781502536,
    2.6624184273654124e-05,
    7.525261309358606e-05,
    3.0184168063120286e-05,
    0.00016687866490707034,
    0.0001672134561950126,
    0.00010852643484011552,
    9.500464987579536e-05,
    0.00012974268126215424,
    0.00011760796456279552,
    7.19260530578774e-05,
    2.9069126066397277e-05,
    0.0001523463380363128,
    0.00012947925846171964,
    0.00010429885637926315,
    4.6295232389334545e-05,
    0.00010522267390941847,
    5.0896341349817555e-05,
    2.831883007018425e-05,
    1.1530820972586797e-05,
    0.000148508257994033,
    8.435380873031885e-05,
    9.946823636039048e-05,
    2.67453938939988e-05,
    0.0001151863200465546,
    3.5245928912923224e-05,
    3.538787624380986e-05,
    2.587964942713716e-05,
    9.629136903216814e-05,
    2.265853127357848e-05,
    3.4658002402807065e-05,
    9.534573070437498e-06,
    3.4883182433034565e-05,
    1.0028043321092496e-05,
    1.98461664797143e-05,
    2.576451033272066e-05,
    2.7577876457534265e-05,
    0.0001178714618272517,
    9.76301795939525e-05,
    0.00013504426496408167,
    0.00016204384512897665,
    0.00022308959052040034,
    0.0001532981825375251,
    0.00019165502716470874,
    0.00011605621909555812,
    0.0001602661956776319,
    0.00014782176243387693,
    0.0001824922315951079,
    0.00021484333622271887,
    0.0002441382637645628,
    0.0002041251204240471,
    0.0001913677063292482,
    8.861705995093587e-05,
    9.621736777383895e-05,
    0.00010663302104476014,
    0.000113821788165259,
    0.00014537021478511046,
    0.00013963004650186466,
    0.00014698380972067462,
    0.00010093840330418936,
    9.810978852358447e-05,
    9.872078254176911e-05,
    0.00013239342748848308,
    9.10451188991664e-05,
    0.00013766075238010676,
    8.926274116937148e-05,
    0.00011915045031150144,
    6.675135392307647e-05,
    0.00010696102594825867,
    0.00018998557462124508,
    0.00010497487781916493,
    0.00016953720333018785,
    0.00018973389114382646,
    0.0002733209777879249,
    0.00014119008391575645,
    0.0001601732427035089,
    0.00017431266660234896,
    0.00026759886318900174,
    0.00016951202878875374,
    0.00019786922856699114,
    0.0002469520844421217,
    0.0002693687316993215,
    0.0001577448602614418,
    0.0001567832600589022,
    9.472536535011648e-05,
    0.00012080944352543616,
    0.00010078969430979426,
    9.230989022346795e-05,
    0.00013541628744425998,
    0.00011364980930285915,
    8.79096735548855e-05,
    6.642098651651608e-05,
    0.00011683819601265066,
    0.00010031872136045734,
    9.925643277354274e-05,
    7.050704339503055e-05,
    0.00010944180994125424,
    7.439071219591651e-05,
    6.992464879719986e-05,
    1.793258952282953e-05,
    0.00012752093922747216,
    0.00015178088267265167,
    0.00014245184507928884,
    0.00015381252275351837,
    0.00026922753218548196,
    0.00026877213686756136,
    0.00023738207398384215,
    0.00019606947949316015,
    0.00016558756335124976,
    0.00017064509756526368,
    0.00018144294473935467,
    0.00013840881528950121,
    0.00027825368775019784,
    0.00021142269512977873,
    0.00022457247164498568,
    0.00015086672624384058,
    0.00010937747627166948,
    8.710961931136987e-05,
    0.00012829487149186404,
    7.259937854881121e-05,
    0.00019049751088768578,
    0.00010482745994941183,
    0.00014878478659247684,
    6.776486624439617e-05,
    0.00010236954401977042,
    5.473484350261484e-05,
    9.829210848693259e-05,
    4.3195013165124876e-05,
    0.00011764082360710465,
    4.984762496450524e-05,
    9.222889392773374e-05,
    1.1113254508286513e-05,
    0.0001486390114556373,
    0.00019324694404505787,
    0.000127730996412175,
    0.00012273915371512694,
    0.00024189142747730666,
    0.00022604685550094394,
    0.00014688506795143628,
    0.00012291237877971444,
    0.00019106883758801446,
    0.00018300148930870493,
    0.0001352665939074904,
    0.0001180627786482041,
    0.00021901355797430226,
    0.00018027272056167712,
    0.00013214917302725984,
    6.539134552291735e-05,
    0.00010047757409503645,
    6.448833307687006e-05,
    7.313911122588522e-05,
    4.36848264552855e-05,
    0.00011327319499057852,
    6.20754073928888e-05,
    6.597386845427301e-05,
    1.0280527193558822e-05,
    7.237513250136654e-05,
    3.9645359953449396e-05,
    5.5516630163432824e-05,
    9.549639797489803e-06,
    6.956595439782167e-05,
    9.72537020490189e-06,
    1.5129220950576832e-05,
    3.7107470769777754e-06,
    0.00013718049577347017,
    0.00019361893840834496,
    0.00013314854896949422,
    0.00015793148876989236,
    0.000270307199554782,
    0.0003115545916962116,
    0.0001879376746354383,
    0.00016399504592111845,
    0.00019091388328605543,
    0.0002254932743726983,
    0.00017575319808074078,
    0.0001473573348720086,
    0.0002953311395868825,
    0.0002562348473905988,
    0.00018098615578985625,
    0.00013268527447385275,
    0.00012385314340408697,
    0.00011034398467228301,
    0.00012096309533037679,
    7.15479255398745e-05,
    0.00020651008260643273,
    0.00012061509003991432,
    0.00011978060228167636,
    5.5152325266590846e-05,
    0.0001225855441252522,
    7.389842361626705e-05,
    8.791699439496621e-05,
    3.919641030082978e-05,
    0.0001335738100287938,
    5.825912900004275e-05,
    7.201235173592205e-05,
    1.1014718673808783e-05,
    0.00015706212079732285,
    0.0002462496472173397,
    0.00011835777183155221,
    0.00012737339032690108,
    0.0002414559287652176,
    0.00026093238347536693,
    0.00011275926234171512,
    0.00010093625048251683,
    0.00022037252984420623,
    0.0002516421257463508,
    0.0001279506616901647,
    0.00012068236007881236,
    0.00023601809999361625,
    0.00021981220135856283,
    0.00010342657488714495,
    5.176276402811997e-05,
    0.00011049835913886642,
    8.560204912557933e-05,
    6.680372614389038e-05,
    4.097486368991459e-05,
    0.00012191608386918628,
    7.262259944288451e-05,
    5.226142078506133e-05,
    9.22490439373032e-06,
    9.03152724966432e-05,
    5.3678396754559704e-05,
    4.7525226468619536e-05,
    8.37475672136675e-06,
    7.771699416314287e-05,
    1.412883805191916e-05,
    1.1267686618400488e-05,
    2.9876971398133055e-06,
    0.00018538068421681433,
    0.00018792268033264396,
    0.00015460397095291134,
    0.00011170730279395014,
    0.00033159460084814185,
    0.0002498350169854254,
    0.0001961827518552996,
    0.00011870037109372824,
    0.0002058563791780853,
    0.0001454842307263666,
    0.00013415260677740085,
    7.987827387722627e-05,
    0.00026335057380518314,
    0.00016068057390283673,
    0.00014567919136058857,
    4.370281282879912e-05,
    0.0001194876873993998,
    5.301050390574851e-05,
    8.019025462791599e-05,
    2.886349063667643e-05,
    0.000170356191022714,
    5.5937640172308356e-05,
    8.345643849330927e-05,
    7.568138789321616e-06,
    7.493605696113991e-05,
    2.466105091849383e-05,
    4.337036728474485e-05,
    8.957614420984332e-06,
    7.908254930626069e-05,
    6.903564294887669e-06,
    1.6146366455375662e-05,
    1.3180893492205019e-06,
    0.00016911730026985156,
    0.00015303444029864588,
    8.663207790793113e-05,
    6.672065957229626e-05,
    0.00020424913116093112,
    0.00015731002772304516,
    8.595178084621904e-05,
    2.7990717855697314e-05,
    0.00015460153241968034,
    0.00011898258863036256,
    7.617232785429532e-05,
    2.9294794388333903e-05,
    0.00015782136599304592,
    8.053820656301963e-05,
    3.376914256671391e-05,
    1.9735232052509403e-05,
    6.512958714569401e-05,
    2.910134415226653e-05,
    3.326215017994711e-05,
    7.1860908269003055e-06,
    7.014451972182131e-05,
    8.128314910423619e-06,
    7.017819357134682e-06,
    5.466192658788538e-07,
    3.9313317728328607e-05,
    9.67219461048723e-06,
    7.50890014017757e-06,
    1.7015591922200498e-06,
    1.1343352073109776e-05,
    1.74406929166019e-07,
    9.515289720416829e-07,
    9.60858462525382e-06,
    9.880895827466778e-05,
    0.00013444208529225625,
    0.00012557050691339533,
    0.00016485607408155137,
    0.00015603553137885908,
    0.0001790257512504361,
    0.0001498762825891202,
    0.00014141604244700978,
    0.00015533507843766347,
    0.00018471556853511808,
    0.00018956915972044672,
    0.00017986878291117295,
    0.0002035933237864154,
    0.0001781900334040232,
    0.00016474294738942033,
    0.00013964897136749504,
    0.00015960601375713694,
    0.0001580720850238733,
    0.00022822518541208806,
    0.0001692103514091181,
    0.00021597303251715265,
    0.00015282091947448905,
    0.0002081961921086567,
    0.00013600690220137802,
    0.00020072519033075627,
    0.000145306639736617,
    0.00022835882160979939,
    0.00014284397253756516,
    0.00019315467999616044,
    0.00011780161283317474,
    0.0001862092560984646,
    7.41457697597048e-05,
    0.00012283392861467713,
    0.00019552147608190796,
    0.00012894757569298498,
    0.00015781854814526233,
    0.0001544729126801719,
    0.00017260533970499804,
    0.0001046921920407893,
    0.00011015614294730684,
    0.00020360602869722597,
    0.00023730345995334629,
    0.00016685499398666663,
    0.00017982377265029605,
    0.00017702937706152948,
    0.0001770935116339202,
    0.00011520348929078446,
    6.978259271762704e-05,
    0.00017174000789448878,
    0.00016017482155906496,
    0.00016559642761059356,
    0.0001337788153295684,
    0.00015523652014162842,
    0.00012480553943848154,
    0.00011843261695691287,
    5.699916289311182e-05,
    0.00018955026593461588,
    0.00014199088052882573,
    0.00016316299532139524,
    7.901744756164496e-05,
    0.00014042730252253986,
    5.9312075010866615e-05,
    6.686919780650933e-05,
    6.552468429198398e-05,
    0.00013517663463300647,
    0.00014314289714558828,
    0.00015468105082754738,
    0.0001293315312533562,
    0.00020484406079385355,
    0.00016321621631491963,
    0.0001560773550011754,
    0.00011407696817232497,
    0.00017327213087207197,
    0.000127700254805025,
    0.0001631842836932098,
    0.0001128876797917506,
    0.00018812740078045893,
    0.0001269356123265484,
    0.00014321646192197004,
    5.220199614130631e-05,
    0.00017125323391552221,
    9.97553195317144e-05,
    0.00017894808325234193,
    8.952863997496973e-05,
    0.00019961935237798755,
    0.00010196247885745751,
    0.0001728332994236697,
    5.3441408163017543e-05,
    0.00014318934145558196,
    6.652697134727079e-05,
    0.0001453902092587485,
    2.943695527489948e-05,
    0.00014099810123428997,
    2.8081113847724614e-05,
    9.679446054764538e-05,
    4.524115626039516e-05,
    0.00013622259680257857,
    0.00013153343881478174,
    0.00010165160299662524,
    9.215573225459428e-05,
    0.00013857255181472887,
    0.00012230229152723128,
    8.556556756235262e-05,
    3.520224046568499e-05,
    0.0001475181719680022,
    0.00012615713029373522,
    0.00011368836123267142,
    5.3990607654086015e-05,
    0.00013072209761947096,
    6.56938207733694e-05,
    4.3643875084994324e-05,
    2.8248746131632608e-05,
    0.00012145883139016292,
    7.2383820811195e-05,
    9.52789377976026e-05,
    2.4782389699261505e-05,
    0.00010937853762378723,
    3.1055425728783356e-05,
    4.166346635971456e-05,
    3.14381337358108e-05,
    9.876524403611878e-05,
    2.2309387635219617e-05,
    4.438131048073717e-05,
    1.713842640928778e-05,
    4.310539785414633e-05,
    1.704761269644985e-05,
    3.9561358578561744e-05,
    4.3072331750220255e-05,
    0.00015630181289378093,
    0.0001854956105589409,
    0.0001496346032827764,
    0.00013465333284530675,
    0.00022646877408084403,
    0.00019771066950953733,
    0.00014181046104109942,
    0.00011107408637869784,
    0.0002126903586794815,
    0.00017901965233366914,
    0.00016286370506519746,
    0.00012458244443747527,
    0.00022414121395445278,
    0.00016765342830370132,
    0.00013986109348736945,
    5.8914735374002054e-05,
    0.00021146796648658305,
    0.00013661133145873933,
    0.00017891653972942217,
    9.765636956125786e-05,
    0.00024008126514449374,
    0.00013127524821220633,
    0.0001678690493683014,
    6.0262125949739075e-05,
    0.00018780240667924618,
    9.660977793884218e-05,
    0.00014441112616794596,
    3.760479802114461e-05,
    0.00018077365986225144,
    5.14724230007789e-05,
    0.00010086381461787808,
    6.273051321304383e-05,
    0.00015963668413196847,
    0.0001787347068456546,
    0.00010151367398597622,
    9.917077322255243e-05,
    0.0001563410925846494,
    0.00014844602602520033,
    7.968052198103334e-05,
    3.47760843522918e-05,
    0.0001891767882433844,
    0.0001815384402498335,
    0.00011299811044564862,
    6.187476994424803e-05,
    0.0001578956183200768,
    9.652326363217273e-05,
    4.0035300928424525e-05,
    3.448623785176473e-05,
    0.00015207897108957972,
    0.00010350317478438282,
    9.634819660176825e-05,
    3.0212352559093293e-05,
    0.00013175048304051113,
    5.076558466249495e-05,
    3.9881900741518306e-05,
    3.826309472070596e-05,
    0.00013071281754213388,
    4.2189600025342663e-05,
    4.417323500965805e-05,
    2.6665535386761173e-05,
    6.231571198085372e-05,
    4.0195831339837605e-05,
    4.016267932658613e-05,
    5.831351198272135e-05,
    0.00016903998182245318,
    0.0001191357351232464,
    0.00012178527670553036,
    7.350508726069386e-05,
    0.00021032628423607147,
    0.00013268841014140876,
    0.00011762787118922653,
    3.3306104381474285e-05,
    0.00015084918253264752,
    9.05377979568754e-05,
    0.00010368714443921383,
    2.6618433925748725e-05,
    0.00016223243159130374,
    5.365873632005174e-05,
    5.413297038455538e-05,
    2.4567084457966147e-05,
    0.00014039632664878003,
    5.6466417574878075e-05,
    9.856812299843072e-05,
    1.4793726729169891e-05,
    0.0001684407657764976,
    3.346471042635006e-05,
    8.045044540280678e-05,
    3.379419907890204e-05,
    9.150548854551298e-05,
    1.1626042492142012e-05,
    3.4037512480110086e-05,
    4.413327008156779e-06,
    6.433738951726361e-05,
    1.345072109838806e-05,
    7.566592512189088e-05,
    4.147880657423317e-05,
    0.00011093473142166044,
    8.685680297658931e-05,
    6.23754341872095e-05,
    1.8157460417284494e-05,
    0.00010985016550025749,
    4.632668645866529e-05,
    1.9979603321892702e-05,
    9.180903377803857e-06,
    0.0001039165845148276,
    4.290786058859617e-05,
    2.7706296128383264e-05,
    6.320019823352547e-06,
    5.485214684483207e-05,
    2.6408481213298876e-05,
    1.174440733143617e-05,
    2.0519901274061467e-05,
    7.17978556723486e-05,
    1.3573318666995915e-05,
    1.4515045332667056e-05,
    2.436499192199198e-06,
    3.569367554160813e-05,
    1.581210813342407e-05,
    1.8318229573266945e-05,
    2.098632661132161e-05,
    2.0843835035418098e-05,
    1.3859307753592628e-06,
    6.754525976308981e-06,
    1.2777385996458315e-05,
    2.0739991133107585e-05,
    1.3451092341245789e-05,
    2.5801502717498197e-05,
    2.2590217709003696e-05,
    1.4123092407554494e-05,
    2.3511750475644095e-05,
    1.9652077585269034e-05,
    0.00010462291115370698,
    3.044797977971264e-05,
    0.00012195744908377806,
    9.671201080484488e-05,
    0.0001421960324026611,
    1.5173921372717466e-05,
    9.016965188608976e-05,
    8.352869275107816e-05,
    0.00012488366486531979,
    9.654099481248344e-05,
    0.0001272483126763713,
    0.00011083850544747376,
    0.0001434614562809384,
    2.3483566528417605e-05,
    9.21222783938086e-05,
    0.00010025995103978333,
    0.00012605605059827304,
    0.0001142557342539222,
    0.0001295174186262149,
    0.00015102829008001168,
    0.00015919754555594604,
    7.888758012307571e-05,
    8.285200148987991e-05,
    0.00010452143860638031,
    0.00010996254258993818,
    0.00010484492239280488,
    9.84527703023031e-05,
    0.00013699774395353138,
    8.813190034156485e-05,
    2.2001111252915637e-05,
    0.00013409792941587828,
    9.13952234811404e-05,
    0.00016562898868810005,
    0.00011478835518524523,
    0.00018383944537623013,
    0.0001117972820085337,
    0.00016768045676889058,
    9.992453401399054e-05,
    0.00018803518594573892,
    0.00012275722183744826,
    0.00020478042338194685,
    0.00013560284250902364,
    0.00019642098550491595,
    0.00012710935167767668,
    0.00014515229003970437,
    9.99680129271227e-05,
    0.00013516862859167173,
    0.000124736682844206,
    0.000158334540299463,
    0.0001383903763759441,
    0.00015868331950530862,
    0.00014430454764894488,
    0.0001232304393976061,
    0.00010729896482337418,
    0.0001258599057089066,
    0.0001273769099619279,
    0.00010994099626349911,
    0.00012310391635346504,
    9.598192907196639e-05,
    9.774808883762196e-05,
    6.568452078060349e-05,
    2.99429697228856e-05,
    0.00011970584634128366,
    0.00011848792197871929,
    0.00016597043396970234,
    0.00017480290043848208,
    0.00021264705355145824,
    0.00020321672267308342,
    0.00022219081402020626,
    9.994078402307531e-05,
    0.00012712615859992025,
    0.00013212723722696561,
    0.00015386119867560617,
    0.0001819182171819767,
    0.00017783909094421608,
    0.00018624441874663398,
    0.0001467249487243458,
    0.00011084369489665164,
    0.00010490630166945998,
    0.00016150100781840766,
    0.00014533304002651413,
    0.00020823064753721843,
    0.0001602597344838136,
    0.0002496891295586145,
    0.00014101510775949884,
    0.00010184558398047926,
    7.701589575149631e-05,
    0.0001389483879225369,
    7.577884574034759e-05,
    0.00015699611662343358,
    7.336922901602347e-05,
    0.00014339259709439113,
    5.635426349092404e-05,
    0.00012771965569551103,
    0.00019838377975833193,
    0.0001453245690647817,
    0.00020148152703655252,
    0.00021096994126894086,
    0.00024933407899295506,
    0.0001807816595240711,
    0.00017308186332325298,
    0.0001565320538288606,
    0.00020489031805092373,
    0.00016022062897961195,
    0.00015721040621964502,
    0.00020250782086000827,
    0.00018004185076441972,
    0.0001396674711275081,
    0.00011160786181699672,
    0.0001376413531350173,
    0.00012686940324186174,
    0.0001561910805786326,
    0.00011138485318276103,
    0.00019129590198260738,
    0.0001249718856027069,
    0.00014263847536013027,
    8.053300486553369e-05,
    0.0001196283714011527,
    7.023611418258066e-05,
    0.0001068134517622524,
    5.654401185771338e-05,
    0.00011223171097805043,
    5.414777921829291e-05,
    7.513659902784093e-05,
    1.0351131416668009e-05,
    2.991576577391483e-05,
    0.00013849127744118786,
    0.00010311537792105592,
    0.000154985527801321,
    0.00016212652480348286,
    0.00024077921446225402,
    0.00015642095082233376,
    0.00019305459629444412,
    0.0001046369122348053,
    0.00015511146037428168,
    0.00011769321929647082,
    0.0001505560222324739,
    0.0001731876777454139,
    0.0002055277630872461,
    0.00014991319094635096,
    0.000133756665989323,
    0.00012076584654406904,
    0.0001335066757429734,
    0.00013917683404748515,
    0.00013351249374952132,
    0.00022335796118440218,
    0.0001967625459256958,
    0.00020093065125269607,
    0.00012139422745330445,
    0.00011363356599911374,
    9.621049221311993e-05,
    0.00011365512367241563,
    6.61331366214072e-05,
    0.00016131960918136756,
    8.766877867740285e-05,
    0.00010514635726031951,
    4.903496841128441e-05,
    0.00012322219529367097,
    0.00022498992724224247,
    0.00012190039516017331,
    0.00018256350583502023,
    0.00019479635921269538,
    0.00027375656850508106,
    0.00014056186601608627,
    0.00014366132918279556,
    0.00016135722825350024,
    0.0002425125304570393,
    0.0001405641373739826,
    0.00014695362212202394,
    0.00019527811340435403,
    0.00020369258985944246,
    0.00010876791348250627,
    9.542278215828556e-05,
    0.00014913917678895542,
    0.00015796408017182715,
    0.00013118130890192267,
    9.942481260922327e-05,
    0.0002016424893999179,
    0.0001502899385053306,
    0.00010973732101758717,
    6.675986106208134e-05,
    0.0001310126698243054,
    8.883037373117895e-05,
    8.16454825856401e-05,
    4.7600894712196595e-05,
    0.00011548131276939009,
    6.136546909257096e-05,
    5.4608016741335216e-05,
    1.0185099833315165e-05,
    0.00014672220584533653,
    0.0001901950237373693,
    0.00016668920618553057,
    0.00018112467446021224,
    0.00031278456832536613,
    0.0003038089116217197,
    0.0002588046577211275,
    0.0001879914279097585,
    0.00015647979276913642,
    0.00016666056280383723,
    0.00014862362182330987,
    0.00010724409632094362,
    0.00025374334834954405,
    0.00017763859753120869,
    0.0001623224159226369,
    9.150493933678846e-05,
    0.000160414623014969,
    0.0001049380941016249,
    0.00016860873637853714,
    7.720899998393134e-05,
    0.00029845193396848424,
    0.00013260947617586602,
    0.00019861304961547865,
    6.942664653320875e-05,
    0.00011814581468413634,
    4.701382388819834e-05,
    8.572482368640322e-05,
    3.155100628098358e-05,
    0.00014221699993768107,
    4.2283258263442006e-05,
    7.789700358919149e-05,
    1.0085251381283381e-05,
    0.00018619550833883639,
    0.00023290806226712932,
    0.00015251568937294644,
    0.0001321533224472053,
    0.0002705683069511567,
    0.00023672299524647885,
    0.0001452488867039618,
    0.0001011135169531282,
    0.00018239855543776266,
    0.0001619602563166944,
    0.0001074269952036016,
    8.045546248198088e-05,
    0.00018441533659911008,
    0.0001333733330428956,
    8.516395372925662e-05,
    2.562014551630857e-05,
    0.00015104895633178645,
    7.84445520151835e-05,
    9.460611324254701e-05,
    4.236733151802695e-05,
    0.0001692692448830347,
    7.473537488579002e-05,
    7.337710301113975e-05,
    1.096550083947023e-05,
    8.24597106181429e-05,
    3.2773769590178564e-05,
    4.611059765794498e-05,
    1.0242460347756037e-05,
    7.019099802114003e-05,
    7.4328471176454475e-06,
    1.0092919049788004e-05,
    1.1808463330815566e-06,
    1.4265764641169553e-05,
    8.675251051142977e-05,
    7.961528486431024e-05,
    0.00012040681005343976,
    8.421704052492654e-05,
    0.00010616175738946819,
    8.901321948102395e-05,
    0.00012022708876732914,
    7.36090661292395e-05,
    0.00010099578867834806,
    0.00010029545553410756,
    0.00013552195977759905,
    9.145159110065508e-05,
    0.0001029341204256358,
    0.00010190037040099488,
    9.4206718303131e-05,
    0.00012610381901460515,
    0.00014911379894687302,
    0.0002169405152525507,
    0.00023427590353761795,
    0.0001674333449815343,
    0.00016452290245633588,
    0.0002478973070398227,
    0.00018699578675431927,
    0.00014083668457229913,
    0.0001346886003733076,
    0.0002254554573972137,
    0.0001676826615333321,
    0.00015150657083318019,
    0.00010037877673462846,
    0.00018150057739393162,
    0.00011455405062309633,
    8.809988945603641e-05,
    0.00015387999969968636,
    0.00010217878537139415,
    0.0001673583479918356,
    0.00010347728425150119,
    0.00014504376539488818,
    9.765504763349758e-05,
    0.00010699394793576575,
    0.00012692584227709788,
    0.0001921956513060385,
    0.00014388865314569272,
    0.00016624199484313148,
    0.00011965699714766826,
    0.00011940761939066798,
    8.777466283212998e-05,
    9.064567974910439e-05,
    0.00018694625881400775,
    0.0002127549131643448,
    0.00024189265144996782,
    0.00022299352923402393,
    0.00017617333991860315,
    0.00015674190535621652,
    0.00016938930629740512,
    0.00013907097087916898,
    0.000196411810924577,
    0.00016206621568752092,
    0.00021176228417675282,
    0.00015952765323393138,
    0.00012995358152909756,
    9.776318693486327e-05,
    0.00012036564197845404,
    5.027090753880922e-05,
    9.444953140991251e-05,
    0.00011750949659548831,
    0.0001245326468677722,
    0.00014846606423445913,
    0.00015490007556472703,
    0.00015346790359837943,
    0.00015604261841456203,
    0.00012250189656957546,
    0.00010552616081835861,
    0.00011399329841041323,
    0.0001335152501458971,
    0.00011009374413331637,
    0.00014012924305439046,
    9.687305761475657e-05,
    0.00011472018635709795,
    8.115135938885236e-05,
    0.00018471315098129103,
    0.00015244805483955584,
    0.00028865901119354054,
    0.0001841403371631718,
    0.0002548420061178099,
    0.00015240460646638192,
    0.0002773202062459839,
    0.0001486434103272464,
    0.0001641020921208628,
    9.188388635448029e-05,
    0.0002170482948830266,
    0.0001052390359040419,
    0.0001586015360643827,
    7.557315001709585e-05,
    0.00017197249574969097,
    4.215442090400313e-05,
    0.00012818468697342478,
    0.0001693382557942836,
    0.0001306877417512699,
    0.00013215108293864906,
    0.00015620097336006543,
    0.00014077278848078598,
    0.00010231973980954761,
    8.890797860724192e-05,
    0.00014751391905252982,
    0.00013414557873791527,
    0.0001246389334152318,
    0.00010844446697164257,
    0.00011734715974241714,
    9.503127300519136e-05,
    8.155479246303985e-05,
    2.935074112634106e-05,
    0.00020819475045437798,
    0.00014601912239879544,
    0.0002098643666294019,
    0.00013136589881867824,
    0.0001774183735309856,
    0.00011685701039536065,
    0.0001418749245480928,
    5.607096202137959e-05,
    0.00015437840336893097,
    8.437459254230436e-05,
    0.00015510508297518396,
    4.366287438869442e-05,
    0.00010746260995860745,
    2.6486317672276312e-05,
    5.190862444163744e-05,
    3.2704347002877086e-05,
    9.850089346615437e-05,
    0.00014151926373755523,
    0.00010793942801979993,
    0.00013904831326220027,
    0.00014501723966484114,
    0.00016979719544116457,
    0.00013133978283077867,
    0.00011669972201976906,
    0.00011371728512643735,
    0.00014040883844506033,
    0.00012223665854449185,
    0.00011340874308770268,
    0.0001340325738589591,
    0.00011656468007869435,
    0.00010256304101875414,
    8.556059146771438e-05,
    0.00022017365635996307,
    0.00020915843086441945,
    0.00026441494351958834,
    0.00018909433640275895,
    0.0002807735161902282,
    0.00019736232838431185,
    0.00025351154347535217,
    0.0001571570953020266,
    0.0001924020695328559,
    0.0001261261040619064,
    0.000188764292796652,
    0.00010780220943835007,
    0.00017161695997533951,
    9.760918441643245e-05,
    0.00015482519659494693,
    4.87411146912598e-05,
    0.00013276149930982668,
    0.00019561603288433145,
    0.00011632669179100919,
    0.00012346094780958617,
    0.00014564387515591986,
    0.00015393878892078068,
    8.679654625077797e-05,
    8.347316639631466e-05,
    0.00015885908922608257,
    0.00016351354110585503,
    0.0001114278968064737,
    0.00010563830383474336,
    0.0001143045050544788,
    0.00010910243412283725,
    7.187189228205813e-05,
    2.8583397846023487e-05,
    0.0002397814279651969,
    0.00019505441601203733,
    0.00018680549090194294,
    0.00013296031263330984,
    0.0001916490324503275,
    0.00014411879345190332,
    0.0001269021091610497,
    5.90731962547865e-05,
    0.00017536466325486437,
    0.00010984017378491253,
    0.00012806651662598703,
    4.423054484316701e-05,
    0.00011519518431357209,
    3.866131239407525e-05,
    4.25876128467293e-05,
    3.744754008616779e-05,
    0.00013821782702121946,
    0.00014710467503559557,
    0.00013604399827388952,
    0.00010932154353874829,
    0.00021529283230460518,
    0.00016468923711347806,
    0.00014156864533190495,
    9.529880254704603e-05,
    0.0001293303033126856,
    9.077303531385208e-05,
    0.00010567264074079007,
    7.07802297039994e-05,
    0.00013830041370434525,
    8.783383955065465e-05,
    9.545108296990104e-05,
    2.4543779547932972e-05,
    0.00023543565412640968,
    0.00012570958749384247,
    0.00022086863260346743,
    0.00010223114812550407,
    0.0002856829395752868,
    0.0001323186706957666,
    0.00022156374423032836,
    6.676171162342369e-05,
    0.00014604151168709154,
    6.021541938940425e-05,
    0.00013214337746242144,
    1.968540690394788e-05,
    0.00014006957538234956,
    2.168908125623314e-05,
    8.168671197653203e-05,
    3.179325201702692e-05,
    0.0001472038771489534,
    0.0001301663239431866,
    9.198910058895602e-05,
    7.426568951126234e-05,
    0.00014378302802061965,
    0.00011641155616216917,
    7.178525774912942e-05,
    2.516098140781695e-05,
    0.00011225306290413876,
    8.671501461587841e-05,
    7.769080475788973e-05,
    2.4808448534830934e-05,
    9.444829052317265e-05,
    3.493485904376791e-05,
    2.1675788499402962e-05,
    6.974165398777577e-06,
    0.00017099662526793628,
    8.939809947562153e-05,
    0.00011261856209058279,
    2.8119030694362548e-05,
    0.00014541947435661945,
    4.403098282772807e-05,
    5.1268799951777316e-05,
    4.195742919894924e-05,
    9.704383015724968e-05,
    1.9038342615211927e-05,
    3.320250813586524e-05,
    9.689039503736069e-06,
    3.675212764600286e-05,
    1.2514612125992998e-05,
    2.8625019438787695e-05,
    2.734181907799041e-05,
    2.0940970451940178e-05,
    9.557612563206776e-05,
    8.540648332826164e-05,
    0.00011857801532880783,
    0.0001417600482689486,
    0.00018459217230819722,
    0.00014077415278283698,
    0.00017678756417374066,
    9.287807767544892e-05,
    0.00012143552129358644,
    0.00011344652446547781,
    0.00014210933171005072,
    0.00018153700274066062,
    0.00018984712537361355,
    0.0001743236494385698,
    0.0001532077929570999,
    8.334258848010024e-05,
    8.199770405477563e-05,
    0.00010428569523348264,
    0.00011116441997375698,
    0.0001603124813441227,
    0.00014173676792286495,
    0.00017798619062657416,
    0.0001120103943531584,
    8.816666755337003e-05,
    7.879197286501636e-05,
    0.00011775619415543019,
    7.327129728241544e-05,
    0.00014684214745013273,
    8.008106986680254e-05,
    0.0001249135590963989,
    5.813355326709627e-05,
    9.859134795487028e-05,
    0.0001589167779463217,
    0.00010014454660685824,
    0.00015607606490380678,
    0.00018195499317277125,
    0.00023300773327299349,
    0.00014463000648480575,
    0.00015124526512552347,
    0.00015426151338491218,
    0.00021642538323606405,
    0.00014646687716955722,
    0.00015405956190322613,
    0.00022464282208540642,
    0.00021181580109837063,
    0.0001427405360486969,
    0.00012393287706337334,
    9.964602715972416e-05,
    0.00010791731973327949,
    0.00011160412765009955,
    9.151066532908707e-05,
    0.00015991590757608167,
    0.00011615222594347433,
    0.00011028764517952493,
    6.976930414372938e-05,
    0.00011862383500140476,
    8.459934823754422e-05,
    9.68095085352358e-05,
    5.771313994450775e-05,
    0.00011958334778024125,
    6.453616582285192e-05,
    7.251900889864701e-05,
    1.2824953431255575e-05,
    0.0001220030299685286,
    0.00014066793226041356,
    0.00014615766720854468,
    0.00016000763835247297,
    0.00028831612119882837,
    0.00025665014134843304,
    0.0002586373116836996,
    0.00019677463073136878,
    0.00015355185206582722,
    0.00015131906362961576,
    0.00016311009662467354,
    0.0001209370468623487,
    0.00027433848486577855,
    0.00018423103422474444,
    0.00020807223947079834,
    0.00012472668793857917,
    0.00011573879764200606,
    8.458628256793404e-05,
    0.00015079700556167705,
    7.885729214589943e-05,
    0.00023927350475834672,
    0.00011224323250131235,
    0.00019536489215222689,
    7.557434952566825e-05,
    0.00010693494844548754,
    4.903869148840184e-05,
    0.00010173029860438805,
    3.917413146731079e-05,
    0.0001361679176138778,
    4.590635111795094e-05,
    0.00010090271127323817,
    9.869586146871206e-06,
    0.00015965010736596923,
    0.00018951872393355574,
    0.00014384169103196886,
    0.00013046888925160642,
    0.00027410959133450396,
    0.00022499102409995252,
    0.00016887639609984695,
    0.00012380857682647064,
    0.00019946081425141973,
    0.0001630502140274513,
    0.0001321538619106689,
    9.94388106012832e-05,
    0.00022856776679959742,
    0.00015502227702672138,
    0.00012640287007553998,
    4.735803191570144e-05,
    0.00011712445249473054,
    6.727034287054615e-05,
    9.290650950344147e-05,
    4.7171403750626614e-05,
    0.00014745958130982974,
    6.850057584826818e-05,
    8.484531455139163e-05,
    1.3353215578297646e-05,
    8.764009135846509e-05,
    3.6910536016261274e-05,
    6.082177325216308e-05,
    7.779688823615566e-06,
    7.920148520614385e-05,
    8.634966878614674e-06,
    1.746430757070173e-05,
    4.508457025039377e-06,
    0.00011104294310820762,
    0.00014886612074851315,
    0.00011202608082885022,
    0.0001314543802145164,
    0.0002525689474752973,
    0.00026659886423448546,
    0.00018914030680593097,
    0.0001492250524709368,
    0.00014164744041441534,
    0.00016321666295006205,
    0.00012926693644407867,
    0.00010572256741379407,
    0.00025455909706722797,
    0.0002016899058527718,
    0.00015747433435946457,
    0.00010070149889469599,
    0.00011472550912685183,
    9.648382553993554e-05,
    0.00011650158377005736,
    6.235115718137844e-05,
    0.00024102347044674519,
    0.0001242472443919004,
    0.00014092815544260024,
    5.5840356628115637e-05,
    0.00010478085294713269,
    5.4399209550156726e-05,
    7.043281046458514e-05,
    3.175402627999352e-05,
    0.00013446428336384136,
    4.906348635554187e-05,
    6.949984961061692e-05,
    9.59118983958793e-06,
    0.00013935618560926598,
    0.0001967629378570364,
    0.00011064037614895019,
    0.00010667444808577817,
    0.00024103016644781575,
    0.0002272652745580009,
    0.00012053418717969754,
    9.108481484630151e-05,
    0.00018499170797270462,
    0.00017712776918793385,
    0.00010260721857601632,
    8.189269621111377e-05,
    0.0002145171445345477,
    0.00016472947716122008,
    9.183207092707236e-05,
    3.06831859356264e-05,
    0.00011402313923278242,
    7.788069355264142e-05,
    6.915823397434548e-05,
    3.748600781424595e-05,
    0.0001466749323724315,
    7.303479580184602e-05,
    5.917378186264138e-05,
    8.879393681325558e-06,
    8.666810018074923e-05,
    4.079111029630588e-05,
    4.252909656088216e-05,
    8.924737975047426e-06,
    7.740246637280267e-05,
    9.561176479628675e-06,
    1.0201518193124328e-05,
    2.4972769569816803e-06,
    0.00017325510510895245,
    0.00016848753873641837,
    0.00015447304322712202,
    0.00010891514872579437,
    0.00036425135968538256,
    0.0002460917847192418,
    0.00021640303396595846,
    0.00011387174367936159,
    0.0001782681522771346,
    0.00011669644389250227,
    0.0001141540105640026,
    6.197917786430785e-05,
    0.00025824016607411265,
    0.00013435496848588035,
    0.000131738303577817,
    2.921265375123612e-05,
    0.00013288771343137468,
    5.1522497150419274e-05,
    9.119604193037e-05,
    2.853274518252495e-05,
    0.00022285203574924918,
    6.349789981356707e-05,
    0.0001070839305201478,
    1.0435296530189832e-05,
    7.546092352302635e-05,
    2.2800138324125827e-05,
    4.307799878145719e-05,
    1.0167230338565324e-05,
    8.720129811011858e-05,
    7.303940035379379e-06,
    1.9750978143485566e-05,
    2.5866123335975374e-06,
    0.00017418287697295895,
    0.0001386853213531412,
    9.439331087906343e-05,
    6.11842137463237e-05,
    0.0002375892188221996,
    0.00015488783101247358,
    9.623957796825388e-05,
    2.5669722506204063e-05,
    0.00014369942298631634,
    9.317781153227089e-05,
    6.684067273597121e-05,
    1.8131768644894064e-05,
    0.0001558293914623765,
    5.96181239895459e-05,
    2.782615310818907e-05,
    1.30417563391095e-05,
    8.170352705833717e-05,
    3.103412388856456e-05,
    3.8428357138555e-05,
    6.894403228574059e-06,
    9.255826466127563e-05,
    1.0153630230019468e-05,
    1.103210276921437e-05,
    2.3503626167674816e-06,
    4.2005199340222e-05,
    9.641629578857812e-06,
    7.185099808553393e-06,
    1.4902439512383648e-06,
    1.29903672648265e-05,
    4.3076704117265443e-07,
    2.647788267295188e-06,
    1.3407194626942738e-05,
    7.581358149200545e-05,
    9.207920261239292e-05,
    8.581731014218079e-05,
    0.00011050889985226378,
    0.00012863180637400734,
    0.0001368192451212559,
    0.00011936542835602687,
    9.987489751738487e-05,
    0.00010445405202805561,
    0.00011701934565688903,
    0.00011557505639655738,
    0.00010571148999721056,
    0.0001541876016020468,
    0.00011775318969842987,
    0.00011456514295828804,
    8.831085882378487e-05,
    0.00013197825337102042,
    0.00012490170608000568,
    0.0002001980423799603,
    0.00013779340003859688,
    0.00020180015033472592,
    0.00012743162397536856,
    0.00020111091112793696,
    0.00011606921547144878,
    0.0001609844132036352,
    0.00010070431267976614,
    0.00018117071960137832,
    0.00010016429396967919,
    0.00016255352910344854,
    8.507918424646299e-05,
    0.00015827793839472593,
    4.6675109098285164e-05,
    9.739688802211122e-05,
    0.00014349563485648476,
    9.602328525777529e-05,
    0.00011006333135301998,
    0.00013947432438050875,
    0.00013801051487431822,
    8.88919890839028e-05,
    8.36174717035689e-05,
    0.00015219960818221433,
    0.00014917309462084727,
    0.00011196886206640197,
    0.00010683970996766717,
    0.0001415975570210677,
    0.00011855215828959263,
    8.668628673728832e-05,
    3.444170723591618e-05,
    0.0001571227552904742,
    0.00012913042861869087,
    0.00015186945255435126,
    0.00010942382683605309,
    0.00014839629994514052,
    0.00010688263657118227,
    0.00011611621100720185,
    4.642299169355171e-05,
    0.00016017823600105328,
    9.909391286559062e-05,
    0.0001367402974814472,
    4.52588488946093e-05,
    0.00011907957132375244,
    3.5814186136057664e-05,
    5.4513109733706874e-05,
    4.312188850111401e-05,
    0.00011193702821921351,
    0.00011190044501276665,
    0.00012412322438173714,
    9.894521360905045e-05,
    0.00020503202341714662,
    0.00013967595553844136,
    0.0001359383142937233,
    8.853614328974542e-05,
    0.00013283325234576986,
    8.682912364398708e-05,
    0.00011509822356540008,
    7.466423713929496e-05,
    0.0001604676138717599,
    9.16003820352264e-05,
    0.00010928053650330674,
    2.836180991032248e-05,
    0.00016684289739781277,
    8.686847077060812e-05,
    0.00018276145777652546,
    8.234875286589035e-05,
    0.00021251639964217812,
    9.55221192934639e-05,
    0.00018261701383295574,
    5.0743149558403536e-05,
    0.0001323169841525439,
    5.359434868352602e-05,
    0.00013518384589537738,
    1.9283878514720353e-05,
    0.00013317844145941738,
    2.0512059607840263e-05,
    9.152951364779147e-05,
    3.417530013968776e-05,
    0.00012492502139108252,
    0.0001073632072547504,
    8.909030563976103e-05,
    7.399593677314754e-05,
    0.00014815717822298221,
    0.00010950430372434652,
    7.90061316766188e-05,
    2.4886525728368742e-05,
    0.00012069667356664367,
    8.974878150660827e-05,
    8.760211840946782e-05,
    2.851088548233605e-05,
    0.00011497338033299051,
    3.9614775886220334e-05,
    3.0372102932620435e-05,
    1.3215826498116128e-05,
    0.00012764665906277818,
    6.790695711104975e-05,
    0.00010293955869639726,
    2.175620353966765e-05,
    0.00011981608052038156,
    3.078202605303888e-05,
    4.967195552781637e-05,
    3.466855095340642e-05,
    9.725393509120823e-05,
    1.510008671833729e-05,
    4.1669887104266886e-05,
    1.4241172286722901e-05,
    4.04240195533954e-05,
    1.2925158109104069e-05,
    4.310116699509733e-05,
    3.546367796162559e-05,
    0.00010177222169613279,
    0.00011545725114535674,
    9.692929437099792e-05,
    8.205015197274701e-05,
    0.00018620016727829343,
    0.00014500676162695588,
    0.00010815285713370448,
    7.8569869558524e-05,
    0.0001249663067766454,
    9.695423877600549e-05,
    9.404413075952573e-05,
    6.947861950301825e-05,
    0.00015903212208006148,
    0.00010631580723504774,
    9.72024927556392e-05,
    2.6106330362008885e-05,
    0.0001778201435687182,
    0.00010629645581910033,
    0.00015039944786956192,
    7.546936519701345e-05,
    0.00022887881432425463,
    0.00011505709460485803,
    0.00015998009449657506,
    4.949472890162811e-05,
    0.0001387966301610551,
    6.51157731692371e-05,
    0.00010918159114645142,
    1.915938001155593e-05,
    0.00014771432206864954,
    3.121651172470516e-05,
    7.893509164388424e-05,
    4.123208994901224e-05,
    0.00011510483540324513,
    0.00011407403549201976,
    7.11409667314852e-05,
    6.415313413338335e-05,
    0.00013546798047881685,
    0.0001139682237807868,
    6.5789251084345e-05,
    2.069623930480661e-05,
    0.0001179194992218324,
    9.948189860267436e-05,
    7.245589630117752e-05,
    2.4092951705697315e-05,
    0.00011638185442780306,
    4.7941468730542194e-05,
    2.2377001938796243e-05,
    1.3214906529348442e-05,
    0.00013645150072260563,
    8.283569258697914e-05,
    8.556674661878078e-05,
    1.9412553395712566e-05,
    0.0001287202971841387,
    4.165901553323748e-05,
    3.9431830485224626e-05,
    3.435927328619609e-05,
    0.00010255688048145731,
    2.1174995678292952e-05,
    2.868821533754453e-05,
    1.2652369452944602e-05,
    4.691553965176991e-05,
    2.3938110048083625e-05,
    3.415645642270174e-05,
    3.806427009292058e-05,
    0.00012407151350085331,
    8.426867961561097e-05,
    8.934897339375644e-05,
    5.414437350290828e-05,
    0.00019494719848939628,
    0.00011079090956975955,
    9.900634082492779e-05,
    2.3761090080662512e-05,
    9.795704817412551e-05,
    5.746476037216023e-05,
    7.102276167413252e-05,
    1.2930353342051288e-05,
    0.0001280770857028677,
    2.9985741950173827e-05,
    3.5252991209015285e-05,
    1.0867145774417793e-05,
    0.00013749871292724966,
    5.285303163647e-05,
    9.909247148483851e-05,
    1.1930326709028284e-05,
    0.0001878962988322152,
    3.4868429944040614e-05,
    9.628400366449166e-05,
    3.778646387423257e-05,
    8.294991513843661e-05,
    8.695057399234577e-06,
    2.8378309450501863e-05,
    2.7690431995415062e-06,
    6.171300964349004e-05,
    1.1650682781177077e-05,
    8.003303525983155e-05,
    3.432633949891719e-05,
    8.95016653932765e-05,
    6.56605065446497e-05,
    5.16482065531465e-05,
    1.185632709028559e-05,
    0.0001077657527171568,
    3.570374666260073e-05,
    1.637413586948844e-05,
    6.370693262684025e-06,
    7.548150886577952e-05,
    2.3010647980360553e-05,
    1.6253130930000625e-05,
    9.203046631947561e-07,
    3.9332265690004417e-05,
    1.3830300114562713e-05,
    7.2504327681872565e-06,
    1.2257486959858972e-05,
    7.67384091970792e-05,
    1.1387605379023806e-05,
    1.5102133690107349e-05,
    3.000619094464482e-06,
    4.619045482362901e-05,
    2.2805672466924545e-05,
    2.8755015422854764e-05,
    2.4186975328314862e-05,
    1.7506289392899745e-05,
    6.863692526979815e-07,
    8.62587074206494e-06,
    9.984725650547788e-06,
    2.4696425276951735e-05,
    1.3199418969599914e-05,
    2.9315027986269823e-05,
    1.508850992396924e-05,
    2.4580724349056296e-05,
    0.0001200292748556299,
    9.964489237698234e-05,
    0.00015465371012488488,
    0.00014300284345340153,
    0.00020400294677702476,
    0.00014184146667799508,
    0.00018920375922714874,
    9.429148479045849e-05,
    0.00013631662907284223,
    0.00012237342624292423,
    0.00016385208182128177,
    0.00015770818471263234,
    0.00018283944177088156,
    0.00015285259679215937,
    0.00014489912639351443,
    9.85369683977923e-05,
    0.00011259125308917168,
    0.00012754159519837106,
    0.00014305982691319453,
    0.0001791627473569435,
    0.0001724481269310097,
    0.00019116887980733088,
    0.00013381185782359385,
    8.948370028644158e-05,
    8.763613575742055e-05,
    0.00012299619505025424,
    8.597829532231352e-05,
    0.00014083695061650265,
    8.513099150467129e-05,
    0.00012081757545207585,
    6.40588149189956e-05,
    0.00010937743572254595,
    0.00019974526697900307,
    0.00011645532796886677,
    0.00019094417856401855,
    0.0001643241218422906,
    0.00023651630357497748,
    0.00012685030432721007,
    0.00014743364143538127,
    0.0001421042232352407,
    0.00022811902761787073,
    0.00014743128916210407,
    0.00017235308593745773,
    0.00017547128185595973,
    0.0001913772432020608,
    0.00011260111893713713,
    0.00011314071803995833,
    0.00011645370994580018,
    0.0001413990627832382,
    0.00012542722211083575,
    0.00011397554363584225,
    0.00016531308706865247,
    0.0001353907860681381,
    0.00010862870257264098,
    7.985707430609008e-05,
    0.00010661154997046935,
    8.938457731717854e-05,
    9.254096779069106e-05,
    6.622053613721756e-05,
    0.00010330090552624805,
    6.624287380562366e-05,
    6.508029643980168e-05,
    1.4179838624614448e-05,
    0.00013915259975303228,
    0.00018284094332826094,
    0.00017894570798528914,
    0.00020844875490563789,
    0.0002889698008515774,
    0.0002940569634030015,
    0.00027053245477229684,
    0.0002242779156047447,
    0.00014869555798840018,
    0.0001631185925372598,
    0.00017731073079119237,
    0.00013949195606241906,
    0.0002460786574882499,
    0.00018357834187817128,
    0.00019592163671029413,
    0.0001272027360167918,
    0.00014513763898442054,
    0.00012350994937676416,
    0.00019028017556797192,
    0.00011613798126626631,
    0.0002661107431509065,
    0.000147861395676468,
    0.00022084884575277808,
    0.0001016668468032806,
    0.00010833195152665822,
    6.0482972677152826e-05,
    0.00011501743694799948,
    5.074312740930924e-05,
    0.00013429190890352084,
    5.345369299281747e-05,
    0.00010398264477097029,
    1.4673438195097959e-05,
    0.0001709346815092793,
    0.00022872517485519002,
    0.00016202420193730816,
    0.00016150259555645395,
    0.0002461742393897263,
    0.0002382079566009628,
    0.00015522139877925195,
    0.00013221536155607518,
    0.00017204837688788256,
    0.0001698259525833553,
    0.00013043861455130912,
    0.00011347411901212217,
    0.00018083687008022762,
    0.00014911826530586048,
    0.00010762119245267769,
    4.583697742928198e-05,
    0.00013809090969442772,
    9.627549767034074e-05,
    0.000110466311001639,
    6.551899340135582e-05,
    0.0001536603248128069,
    8.753731236706384e-05,
    8.849243777313826e-05,
    2.117270628216831e-05,
    7.946754150801023e-05,
    4.4855024443257345e-05,
    6.364188110963077e-05,
    1.0681772265801368e-05,
    7.287758943026839e-05,
    1.0265042865613353e-05,
    1.570930736842147e-05,
    4.838211031757638e-06,
    0.0001539116133050143,
    0.0002348340246106135,
    0.00016361005709449383,
    0.00020460878716083443,
    0.00029739379420807904,
    0.00034602158074417206,
    0.0002213873329769444,
    0.00019524116589607278,
    0.0001769477507963301,
    0.00021806444235656212,
    0.00017264570949432424,
    0.00014875619146081695,
    0.0002625719620619187,
    0.00022344693684971643,
    0.00016609980609079907,
    0.00011719174561622959,
    0.00016404676314751417,
    0.00015426631639728502,
    0.00016202886368571313,
    0.0001057991876728834,
    0.0003030689887928351,
    0.00018113865117716271,
    0.00018310823302449526,
    8.861912723353968e-05,
    0.00012651284025089969,
    7.807912433414377e-05,
    9.535234084978078e-05,
    4.798623502586786e-05,
    0.00015265630670165313,
    6.298298942774626e-05,
    8.308085182464887e-05,
    1.6127386483103147e-05,
    0.00018808309072380997,
    0.0002909790482069881,
    0.00014958894929476663,
    0.00016069905278087745,
    0.00025150402643877917,
    0.0002720214271908808,
    0.00012507027722835246,
    0.00011073939653063756,
    0.00020589479940556407,
    0.0002313849752036863,
    0.00012582886414222702,
    0.0001153800229582742,
    0.00019428969515315677,
    0.00017687209720698116,
    8.862059766923932e-05,
    3.74349146338795e-05,
    0.00015317407098587439,
    0.00012302089428572614,
    9.364360617675248e-05,
    6.072450946521114e-05,
    0.00017164672267534845,
    0.00010304068142262539,
    7.060493251547652e-05,
    1.8209826708526192e-05,
    9.499140618447834e-05,
    5.6519876579869474e-05,
    5.263571469261912e-05,
    1.187369011291202e-05,
    7.983665032763583e-05,
    1.371180130015107e-05,
    1.1911646237803289e-05,
    5.1089348893004216e-06,
    0.0002465512056004206,
    0.00026652845366170177,
    0.00023194728770998418,
    0.00017912019203934125,
    0.0004384958024066666,
    0.0003393900468233697,
    0.0002749517137460277,
    0.0001640884174855125,
    0.00021764167371733021,
    0.00016170802421647804,
    0.00015710279616581963,
    9.164530273014653e-05,
    0.00027700464022463765,
    0.00016252669014784384,
    0.00015045739219357457,
    4.366297996084263e-05,
    0.0001875054779464762,
    9.439861252412171e-05,
    0.00014027497310701377,
    5.533840642078849e-05,
    0.0002808386822641099,
    0.00010478389068596105,
    0.0001480992435683607,
    3.053278634674154e-05,
    9.603379592263784e-05,
    3.459423350337885e-05,
    6.1011596943103275e-05,
    1.1593251893993583e-05,
    0.00010142035130512541,
    1.2026615746748683e-05,
    2.8283472814226356e-05,
    9.025076179960964e-06,
    0.00022228328334911366,
    0.00021474266702908526,
    0.00012997128437744265,
    9.788377051372296e-05,
    0.0002515849540788765,
    0.00020241354214256655,
    0.00010762129387921077,
    4.227898195413319e-05,
    0.0001583216214608707,
    0.00012662543816399798,
    8.406011716982948e-05,
    3.133819576377247e-05,
    0.00015020037992944567,
    7.406936072189121e-05,
    2.993066702363286e-05,
    1.7733448013407942e-05,
    0.00011013588588663692,
    5.3314139334902846e-05,
    5.4925293928408665e-05,
    9.739249433291253e-06,
    0.00010989922508200304,
    2.194056853723473e-05,
    1.7539313323866912e-05,
    9.59980942040575e-06,
    5.0317776534068716e-05,
    1.0271127421671813e-05,
    9.237777155382589e-06,
    1.6566554010955543e-06,
    1.5149452079040017e-05,
    1.4267889090629334e-06,
    3.214685361762027e-06,
    1.9432572274659836e-05,
    9.004540664152892e-05,
    0.00013044575771115568,
    0.0001126378777911996,
    0.00016323951183457608,
    0.0001259962225706496,
    0.00014959034920526297,
    0.0001284435465636071,
    0.00012688147503558817,
    0.00010913477814447934,
    0.0001386453022619716,
    0.0001303807396399445,
    0.000135079003615029,
    0.00013100280878926453,
    0.00011259503190324219,
    0.0001058966799257246,
    9.449405410292255e-05,
    0.0001622103967091789,
    0.00017338770639455583,
    0.00023945629791319033,
    0.0002040085513448626,
    0.00021459874432409483,
    0.00015623590750173997,
    0.00022684532668566833,
    0.00015928338453361803,
    0.00015303810655143866,
    0.00011442322124471253,
    0.00018538721283219964,
    0.0001305945618310933,
    0.00014400058216241499,
    8.952246191828779e-05,
    0.00015067000513594375,
    5.8947573171736646e-05,
    0.00011444417185896052,
    0.0001794542395945709,
    0.0001159277815326296,
    0.00014519049982904188,
    0.00011898049228030845,
    0.00012948810323271155,
    8.27345214115813e-05,
    8.91957781187112e-05,
    0.00014931898077759101,
    0.0001663424739200979,
    0.0001168714041860837,
    0.00012773422895914419,
    0.00010800487146836692,
    0.00010621216204301204,
    7.478444111090806e-05,
    3.5663782697737806e-05,
    0.0001767435383937385,
    0.00016334271157094854,
    0.00016932297110756146,
    0.00014767082124216574,
    0.00014062989567463765,
    0.00011751797645254014,
    0.0001133360282099589,
    6.104144670822622e-05,
    0.00014268171702058323,
    0.00010856380896954146,
    0.00013203279419212816,
    6.182209400713962e-05,
    9.712336565974894e-05,
    3.5328135580884584e-05,
    4.270103809618338e-05,
    4.1941448077997046e-05,
    0.0001353211080116412,
    0.00015753442472087715,
    0.00015954896619091585,
    0.00015294806621386152,
    0.00019914423772819382,
    0.00016310678251457865,
    0.00015290641024500576,
    0.00011691145864346067,
    0.0001335117855700372,
    0.00010407570696430643,
    0.00012898047825829357,
    9.901554435714211e-05,
    0.00013989209314983105,
    9.504503781351916e-05,
    0.00010713742670125034,
    3.682603051551656e-05,
    0.0002074063613626766,
    0.00013909146914843702,
    0.0002414003110938204,
    0.000143533809180507,
    0.00022912554079137956,
    0.00013129579192938963,
    0.00021862237910434332,
    9.370813046582687e-05,
    0.00013358187282970705,
    7.03594368363774e-05,
    0.00015592539863619123,
    3.749740755548301e-05,
    0.0001248238827700714,
    2.785230082114655e-05,
    9.21949745870965e-05,
    5.068135572690059e-05,
    0.00013586152397403948,
    0.00013730558981061116,
    0.00010431456567654802,
    0.00010131000357243815,
    0.00012472027306200883,
    0.00011472503882007115,
    7.67802375301697e-05,
    3.3882744514213564e-05,
    0.00011232780879326055,
    0.00010248559547879386,
    9.202527224487297e-05,
    4.157763269536575e-05,
    9.297581078412431e-05,
    3.9753295778774076e-05,
    2.7108146058783725e-05,
    1.395787242345958e-05,
    0.0001480009494798482,
    9.705581515095609e-05,
    0.00012582521227805064,
    4.564985755278848e-05,
    0.00011761234988438191,
    4.5111233127533366e-05,
    5.370489319575683e-05,
    5.482445010565204e-05,
    9.48970486235202e-05,
    2.300054799340413e-05,
    4.666700771648715e-05,
    2.6304773778716286e-05,
    3.319485167552735e-05,
    1.4349243712556562e-05,
    3.207138599922925e-05,
    4.903275136381329e-05,
    0.00015674235114510225,
    0.00020249272137747254,
    0.00015108414845000083,
    0.00015527595243333464,
    0.00020902027124779707,
    0.00019126986101964167,
    0.0001393463524496302,
    0.00011834319152748967,
    0.0001629995201949361,
    0.00014633928613722293,
    0.00013049528661885135,
    0.00011121959873107364,
    0.0001557308918958183,
    0.0001215235578143754,
    0.00010785012522239711,
    4.379423999092604e-05,
    0.00025704544066420843,
    0.00019400158748401848,
    0.00023234485932284094,
    0.00015878280296411046,
    0.0002820558759511411,
    0.00017869320431553685,
    0.0002246407483336701,
    0.0001194996058215042,
    0.0001712777593564676,
    9.983329538473821e-05,
    0.00015366345537093387,
    5.0191216606557385e-05,
    0.00015970288786853817,
    5.037636572526072e-05,
    0.00010420545187936601,
    8.396835506085385e-05,
    0.0001592523690604092,
    0.00018061959666474233,
    0.00010145883953872575,
    0.00010508222990833415,
    0.0001309234196440882,
    0.0001319571393972407,
    7.097406080511947e-05,
    3.417655424004243e-05,
    0.00014213780710736854,
    0.00013987572928370956,
    9.172961576573627e-05,
    4.7329687565992694e-05,
    0.00010364357112152648,
    5.504432542480235e-05,
    2.533517968166502e-05,
    1.921233210338727e-05,
    0.00018329147674861205,
    0.00013611631541029856,
    0.00012182975209477481,
    5.6336090820742566e-05,
    0.00014112466634276242,
    7.203690816474092e-05,
    5.364026021437394e-05,
    7.355449292223145e-05,
    0.0001180912580696717,
    3.9649419641945073e-05,
    4.442439042617165e-05,
    3.807510219345346e-05,
    4.6474225490188644e-05,
    3.342133246003031e-05,
    3.5291938659725804e-05,
    6.99951297830961e-05,
    0.00018951283566469494,
    0.0001600335318799198,
    0.0001484940352842132,
    0.00010649886611219119,
    0.00022982928200285114,
    0.00016284385737846526,
    0.00013357459640015075,
    5.298309231801748e-05,
    0.00012997789165955048,
    8.917240348549254e-05,
    0.00010233392586764194,
    2.9740443990985775e-05,
    0.00013474231718045392,
    4.516161306674596e-05,
    4.878561835512152e-05,
    2.5979866213713445e-05,
    0.00021428727465866478,
    0.00010474928187392571,
    0.00017406748805389583,
    4.8359065984628056e-05,
    0.000244012062582628,
    8.168474677260373e-05,
    0.0001649485609522765,
    0.0001237714807878641,
    0.00011044429115559196,
    1.5319837147959112e-05,
    5.739854204796631e-05,
    2.042785073921956e-05,
    7.427123177567517e-05,
    2.5328690528097283e-05,
    0.0001126368579257075,
    8.463286576980039e-05,
    0.0001231596696349,
    0.00010916386002985937,
    7.363096497284781e-05,
    2.785832611998479e-05,
    0.00011090781878547303,
    5.742967578421798e-05,
    2.2914287768521426e-05,
    1.811592551090248e-05,
    9.104474744137078e-05,
    3.9570662932555424e-05,
    2.6132536025650634e-05,
    8.44748595036896e-06,
    3.870265207882334e-05,
    1.94126269543864e-05,
    7.618158241376996e-06,
    2.4454719941996976e-05,
    0.00010969356180251573,
    2.8292695333295217e-05,
    3.514343202338478e-05,
    2.4353577196175264e-05,
    6.06784054515008e-05,
    5.0565490771975584e-05,
    4.418341028919117e-05,
    7.050082535672576e-05,
    2.6135489673068918e-05,
    5.391161920476615e-06,
    1.9020617350678473e-05,
    2.2488175588415764e-05,
    2.332810918813576e-05,
    2.3720961547307417e-05,
    4.020901843648919e-05,
    1.4820090145869497e-05,
    0.00010283086448268362,
    0.0001322805095919612,
    0.00011004135773544542,
    0.0001376024896742382,
    0.00022840090536949346,
    0.0002478345329804172,
    0.0001827110556858989,
    0.00016590172171618533,
    0.00012818256563888432,
    0.00014817412744751258,
    0.0001362204027274844,
    0.00012148696011673993,
    0.00023264607022740238,
    0.00019242138913722263,
    0.00016522796013902042,
    0.0001256052002682449,
    9.324172993608144e-05,
    9.016349852495699e-05,
    0.00011849237351374633,
    7.809153218042943e-05,
    0.00020470855056101397,
    0.00011980611555773475,
    0.0001472550012558036,
    7.448714729132027e-05,
    8.984716708248226e-05,
    5.654773838380587e-05,
    8.496172547208224e-05,
    4.439966329291433e-05,
    0.00012022610427134103,
    5.478218331050981e-05,
    8.466030172593432e-05,
    1.3445915772810178e-05,
    0.00012416975348376291,
    0.00018170587564117008,
    0.00010837960302192406,
    0.00012018481786159811,
    0.00021272180374273892,
    0.000216268177469951,
    0.00011946094713798885,
    0.00011037909111648549,
    0.00016536043450154973,
    0.00017126752054729392,
    0.00010947969707807902,
    0.0001038668161765912,
    0.00019419740428121854,
    0.0001666965649249029,
    0.00010244083627776175,
    4.7432930033057575e-05,
    9.48050323478072e-05,
    7.632238670414424e-05,
    7.294008899630123e-05,
    5.0212848354151034e-05,
    0.00012353914001486495,
    7.4307459603999e-05,
    6.62683862788479e-05,
    1.4543059842768407e-05,
    7.612217671054155e-05,
    4.757759031937383e-05,
    5.2484017486877426e-05,
    8.919550397466445e-06,
    7.301602226335999e-05,
    1.1881542616818562e-05,
    1.355491419654786e-05,
    6.039014406752545e-06,
    0.00016555935662280742,
    0.00016687091432602538,
    0.00017257310635470112,
    0.00013987372630726175,
    0.0003574901464539289,
    0.0002685858006730604,
    0.00025239463045596486,
    0.00016787810208947923,
    0.00017382964291096572,
    0.00012348157819675617,
    0.00014567549407068392,
    9.168148114177405e-05,
    0.00026614944985340445,
    0.00016072549195067702,
    0.00017829213805514336,
    6.169247136472285e-05,
    0.00012672086144284534,
    6.66300316237369e-05,
    0.00011519955655690959,
    4.782339820300319e-05,
    0.00020824701005856577,
    8.072328397945756e-05,
    0.00013819879775122605,
    2.4845935618239534e-05,
    7.694810795740865e-05,
    3.1369203696671676e-05,
    6.329532335365433e-05,
    5.4456708627857685e-06,
    9.195411238348642e-05,
    8.066030752259836e-06,
    3.472771447772706e-05,
    7.785780349715416e-06,
    0.00015997113857554792,
    0.0001425337339252744,
    0.0001069144270669364,
    8.635717186523412e-05,
    0.000229301657362457,
    0.00017751657957684096,
    0.00011889289781786674,
    5.0234072022851964e-05,
    0.00013833585976006347,
    0.00010677952623236808,
    8.743718598784487e-05,
    3.323346418826121e-05,
    0.0001637031055924014,
    8.036866456317923e-05,
    4.725306542653569e-05,
    3.9240141830147504e-05,
    7.786871086930136e-05,
    4.02788970990166e-05,
    5.070893877841318e-05,
    6.072045279506833e-06,
    9.00042022347405e-05,
    1.456881189806131e-05,
    1.8942557754449478e-05,
    1.094438254541214e-05,
    4.6665710751156946e-05,
    6.636771782102123e-06,
    8.312075221575387e-06,
    3.911956815323315e-07,
    1.547446354578355e-05,
    1.7602513473187117e-06,
    8.299357389744248e-06,
    1.4289282302552786e-05,
    0.00017230158732571581,
    0.00019802886471010625,
    0.00014638074429512447,
    0.00012199875394004838,
    0.00036025822024242685,
    0.000290973067447885,
    0.0001887887736080506,
    0.0001252875176653405,
    0.00018610617120541428,
    0.00014952187244066545,
    0.00012439050173521397,
    8.189406340334538e-05,
    0.0002747971465708493,
    0.00017870698535075815,
    0.00013628874709272065,
    4.440130797271876e-05,
    0.0001305218313058861,
    7.553206685180283e-05,
    8.69235609912833e-05,
    3.964487867276397e-05,
    0.00022235917406132857,
    8.635553238988357e-05,
    0.0001000145176551809,
    1.7591997134276205e-05,
    7.934711146379792e-05,
    3.604642256288772e-05,
    4.7527927067319e-05,
    9.166934967502201e-06,
    9.653916999233937e-05,
    1.0873267018921489e-05,
    2.3297199398903816e-05,
    7.452521306294221e-06,
    0.00016918340607793915,
    0.00017343760974397975,
    9.161623868076497e-05,
    7.453310620170719e-05,
    0.00022937057268215743,
    0.00018688588800109624,
    8.823625979375114e-05,
    3.140654701164866e-05,
    0.00015331563743840572,
    0.00013133762463231701,
    7.341244671476217e-05,
    2.6349012435560995e-05,
    0.00016894776189253403,
    9.104052476542455e-05,
    2.9126559056816254e-05,
    2.3958729678260502e-05,
    8.257884027228173e-05,
    4.6957292015134625e-05,
    4.023162652880712e-05,
    6.3064623142944e-06,
    9.401248380345348e-05,
    1.7367498057531325e-05,
    1.110499379648928e-05,
    5.556899231231013e-06,
    5.038922179072112e-05,
    8.530171585931422e-06,
    8.206738753781434e-06,
    1.0980590148672892e-06,
    1.634770844373018e-05,
    3.0058496141334143e-06,
    3.4023636969162197e-06,
    2.152545303077876e-05,
    0.00021579184273818878,
    0.00015484932625665988,
    0.00014826382620960742,
    8.227598051937834e-05,
    0.0003872943023743573,
    0.0002265784586322765,
    0.00019024177770806134,
    6.05581965702547e-05,
    0.00015820283759609632,
    9.094677594772184e-05,
    9.158570532929399e-05,
    1.9712282164785315e-05,
    0.00022827909541087296,
    8.120233159265585e-05,
    7.135939097969874e-05,
    3.9865648450291014e-05,
    0.00010435618961044504,
    3.555201665555222e-05,
    5.660139766263987e-05,
    6.626724408969391e-06,
    0.00016315801467135487,
    2.0051353762274633e-05,
    4.8211057133001776e-05,
    1.3312217089145677e-05,
    4.693824899272907e-05,
    8.75779627787734e-06,
    9.072451931469771e-06,
    1.6312679220639189e-06,
    2.7291585280752076e-05,
    2.1798606239899813e-06,
    2.0239385578520098e-05,
    3.261483043059816e-05,
    0.0001345774970989352,
    9.988033947249852e-05,
    6.417019264580388e-05,
    1.6768811907861298e-05,
    0.0001792273965521015,
    8.77062555405628e-05,
    3.14149627391561e-05,
    2.391958160280268e-05,
    9.65459898095956e-05,
    3.920879920555656e-05,
    1.8580693617598655e-05,
    5.021515208520392e-06,
    7.600859300525668e-05,
    5.110407898309582e-05,
    1.936097890356479e-05,
    3.7396959103553467e-05,
    4.58305779315085e-05,
    7.3680207802743735e-06,
    5.632105370138043e-06,
    3.1688208144813945e-07,
    2.3607789607208864e-05,
    6.073326240040651e-06,
    5.968541867314329e-06,
    1.6391303052152705e-05,
    7.760623071087334e-06,
    1.6655948979004532e-06,
    2.3237342866021684e-07,
    1.0619279120278644e-05,
    4.477623288071888e-06,
    1.1255767078531433e-05,
    1.476553063658158e-05,
    2.830337812175897e-05,
    9.599374334203966e-05,
    0.00011269162714673442,
    0.00010455708445973935,
    0.0001016736532028337,
    0.00016435220408927268,
    0.00013356978397757656,
    0.0001072430854021553,
    8.920612127552472e-05,
    0.00012364455680545137,
    0.00010050605330566575,
    0.0001011133309291719,
    8.518205756528184e-05,
    0.00014774033134282228,
    0.00010480085451589321,
    9.906204667460908e-05,
    3.493053688887362e-05,
    0.0001426416947002837,
    9.647752724690605e-05,
    0.00014801806349511819,
    9.33546897359249e-05,
    0.00017356722676756484,
    9.959575879789069e-05,
    0.00014658626126936607,
    5.9075744505490304e-05,
    0.00011749454941529909,
    6.775378462033046e-05,
    0.00011634737512133153,
    3.008802215930615e-05,
    0.00012148061239730058,
    3.0630529943013005e-05,
    7.842587856069678e-05,
    5.1189784410327654e-05,
    0.00010139475720466241,
    0.00010800259319389574,
    7.32754229669455e-05,
    7.735814534490082e-05,
    0.00011027074833257413,
    0.00010274337221187635,
    6.543916095926623e-05,
    2.547032003699747e-05,
    0.00011052439452039419,
    0.00010417923444644138,
    7.729977698504205e-05,
    3.3855525046682e-05,
    0.000103914117664237,
    4.6598791528866576e-05,
    2.6368766757131063e-05,
    1.7795258317167354e-05,
    0.00010533121892614407,
    7.775578070527726e-05,
    8.569342236221959e-05,
    2.8021763653989723e-05,
    9.61474199318733e-05,
    3.497935244382759e-05,
    3.661884013231255e-05,
    3.695620349199308e-05,
    8.979426960563778e-05,
    2.311231240028373e-05,
    3.3478758263728635e-05,
    2.2312036374853236e-05,
    3.550485268262776e-05,
    1.978261004799422e-05,
    3.121291783442607e-05,
    5.235839442594162e-05,
    0.00012500544549688716,
    9.672744790746982e-05,
    0.00010997026965283505,
    7.901876374246244e-05,
    0.00018276082277721308,
    0.00012012218157887001,
    0.00011229936603414964,
    3.725919801502672e-05,
    0.00010551984031325801,
    7.062607456625318e-05,
    8.923373564139572e-05,
    2.2846728094182423e-05,
    0.00012866926575797396,
    3.740096057732477e-05,
    4.74056073568892e-05,
    2.467873711438592e-05,
    0.00012596963687638504,
    6.153254507627052e-05,
    0.00011852146521352342,
    2.2733543407696805e-05,
    0.0001539626270209195,
    3.9677058999283845e-05,
    0.0001043994575652923,
    6.551725936570905e-05,
    8.346354819344367e-05,
    9.392719292667377e-06,
    4.276268901092568e-05,
    1.2974181393189762e-05,
    5.4571891121782515e-05,
    1.5932087453659016e-05,
    9.29257173175982e-05,
    6.933686871426883e-05,
    8.255590926328169e-05,
    7.386217743072726e-05,
    6.056855907552366e-05,
    1.8989697129029952e-05,
    9.702307143914316e-05,
    3.928530467203011e-05,
    2.0572881453891315e-05,
    1.4287829729813252e-05,
    7.784043077639975e-05,
    2.9861444584802926e-05,
    2.3358321512424288e-05,
    6.312236130390514e-06,
    3.876811754117894e-05,
    2.0425147145625042e-05,
    1.1035077493063719e-05,
    2.5662079260774433e-05,
    7.060980795678262e-05,
    1.2591166469671305e-05,
    2.1717133207135432e-05,
    1.0736062104691897e-05,
    3.5546734644468903e-05,
    2.2387183243681836e-05,
    3.0335109076284134e-05,
    4.4300714105180736e-05,
    1.8820675561873596e-05,
    2.321114638392695e-06,
    1.5886857491917956e-05,
    1.7036243213532614e-05,
    1.8898766448103614e-05,
    1.9106920262609592e-05,
    4.105828343335728e-05,
    2.3162522877504508e-05,
    0.0001353704658202646,
    0.00011672650277294825,
    9.580476266276566e-05,
    7.336595167791476e-05,
    0.0001930570639027276,
    0.00013389322563853208,
    0.00010106609866786167,
    3.499793374367199e-05,
    0.00012108770859012303,
    8.82916559631248e-05,
    8.325916904134399e-05,
    2.2949070335080855e-05,
    0.00014786155394927526,
    5.222223941493497e-05,
    4.485332028591165e-05,
    3.067895744071161e-05,
    0.00014900397431523912,
    7.922919402606466e-05,
    0.00010738448775166416,
    2.5001015738757753e-05,
    0.00018885835773722575,
    6.0374211214114864e-05,
    0.00010275091251221628,
    7.552947900492664e-05,
    9.872823769775114e-05,
    1.5877384586834662e-05,
    3.8839414536543484e-05,
    1.6235784146636322e-05,
    7.815926961687007e-05,
    3.5584998013921366e-05,
    0.00010462947899419476,
    9.519947241705728e-05,
    9.528652266497233e-05,
    8.921890152506873e-05,
    5.601978170443481e-05,
    1.71346618934529e-05,
    0.00010375471535648109,
    4.7019592696768155e-05,
    1.7124255561098668e-05,
    1.3098476372931958e-05,
    9.112288830919392e-05,
    4.0728279179319725e-05,
    1.9959473630339084e-05,
    7.435840844796247e-06,
    4.610344767600808e-05,
    3.26173828175036e-05,
    1.0244836678487212e-05,
    2.959477596142378e-05,
    8.541370873934242e-05,
    2.0165870932719506e-05,
    1.9164844308536037e-05,
    1.3087156902682263e-05,
    4.6979951982604955e-05,
    3.79672787349842e-05,
    3.031536668742481e-05,
    5.114243184472681e-05,
    2.5185567992765943e-05,
    8.11569575556656e-06,
    1.3049978343345076e-05,
    2.242158608563657e-05,
    3.253674471669989e-05,
    3.700170271896202e-05,
    4.228768925029176e-05,
    2.4721628594992067e-05,
    0.00011835895011694715,
    7.57936732640399e-05,
    7.668542143468659e-05,
    1.426414556106228e-05,
    0.0001680722168194497,
    5.823242289435879e-05,
    4.820809096555767e-05,
    2.973429075732753e-05,
    8.476537555380467e-05,
    2.0709341150945863e-05,
    2.26564443913431e-05,
    3.8833249429381066e-06,
    6.43470954549296e-05,
    2.9155041052190708e-05,
    3.738789200630125e-05,
    4.3558208818388944e-05,
    9.760344874321463e-05,
    1.113425587844227e-05,
    3.518502715917052e-05,
    9.98702823413229e-06,
    0.00011260078022715105,
    5.1108766111914595e-05,
    0.000129102154370121,
    9.141035184113723e-05,
    2.136965510024708e-05,
    9.669793016851446e-07,
    2.250007830019295e-05,
    1.846585682841372e-05,
    6.644820489031368e-05,
    3.1995744243607485e-05,
    0.00014446529998730432,
    3.486520556042109e-05,
    6.5020065817732e-05,
    2.1670208639419e-05,
    1.1490400495109622e-05,
    1.4512942354698794e-06,
    3.7250692522808614e-05,
    2.6984458397064818e-05,
    6.507506842063939e-06,
    1.946022936185326e-05,
    2.5116767455706138e-05,
    3.5158470380097117e-06,
    1.6650875417215126e-06,
    8.343337919697982e-06,
    1.9043437506139126e-05,
    2.6812368875230308e-05,
    1.5757773658116373e-05,
    2.8388576032213468e-05,
    1.5413797439888994e-05,
    2.682762610670896e-06,
    5.846532825312575e-06,
    1.1474192581221112e-05,
    3.3266827607083514e-05,
    3.054445688688286e-05,
    3.509823798961373e-05,
    1.179576934616617e-05,
    4.018301725475533e-06,
    6.110431339432104e-06,
    1.1260970495484988e-05,
    2.6718688218316975e-05,
    2.6267259270417426e-05,
    1.662193199171701e-05,
    2.5231066787708305e-05,
    4.30605093009793e-05
  ]
}

{
  "name": "qaoa_p1_theta",
  "dtype": "float64",
  "shape": [
    2
  ],
  "data": [
    5.24344025375493,
    2.836942729009063
  ]
}

{
  "name": "qaoa_p1_optimizer_history",
  "dtype": "float64",
  "shape": [
    480,
    4
  ],
  "data": [
    [
      0.0,
      0.46361072558863364,
      1.3353289282953806,
      0.3069648752412703
    ],
    [
      0.0,
      0.47004052610179536,
      2.035328928295381,
      0.3069648752412703
    ],
    [
      0.0,
      0.4480936757514172,
      1.3353289282953806,
      1.0069648752412703
    ],
    [
      0.0,
      0.4546492858961471,
      1.0673641578909723,
      1.6536447665492595
    ],
    [
      0.0,
      0.44467665158036535,
      1.6719843762884004,
      1.1026890066639121
    ],
    [
      0.0,
      0.44968587149306766,
      1.9905415363259777,
      0.9577016424255298
    ],
    [
      0.0,
      0.44327701490409266,
      1.7082312173479959,
      1.1823282966733064
    ],
    [
      0.0,
      0.444103451855074,
      1.65605046671091,
      1.3493677209507813
    ],
    [
      0.0,
      0.44328799840915273,
      1.7400869333517537,
      1.1678295602494682
    ],
    [
      0.0,
      0.4428623389700838,
      1.7359734296275973,
      1.246596248700997
    ],
    [
      0.0,
      0.44306013766094104,
      1.7615570650522245,
      1.31175357828455
    ],
    [
      0.0,
      0.44303097332129,
      1.7018836810534947,
      1.2545265098665876
    ],
    [
      0.0,
      0.4428771551626461,
      1.7339908643361996,
      1.2380738115574712
    ],
    [
      0.0,
      0.44277901819437065,
      1.7533688245279555,
      1.2485068078496735
    ],
    [
      0.0,
      0.44261517142485746,
      1.7880507788036093,
      1.2532144662507743
    ],
    [
      0.0,
      0.44230715566233936,
      1.8569044859880852,
      1.265830606982173
    ],
    [
      0.0,
      0.44313968382953933,
      1.9548516534904494,
      1.3658623638310048
    ],
    [
      0.0,
      0.4423138303446463,
      1.8867943479286515,
      1.2025329280897057
    ],
    [
      0.0,
      0.44221714570471043,
      1.8882352902490702,
      1.2814312705693365
    ],
    [
      0.0,
      0.4421764562302526,
      1.9193083265900108,
      1.297539231723827
    ],
    [
      0.0,
      0.4424504093716985,
      1.9364360477302303,
      1.328062029245399
    ],
    [
      0.0,
      0.4420997902439534,
      1.9233353168786336,
      1.2897709726385918
    ],
    [
      0.0,
      0.44197613654093065,
      1.9333628657237762,
      1.2754287878622659
    ],
    [
      0.0,
      0.4418218651111684,
      1.9561542640810643,
      1.2488665560110188
    ],
    [
      0.0,
      0.44167609512290323,
      1.989958977341655,
      1.2397978537130467
    ],
    [
      0.0,
      0.441662982318433,
      2.045545234704091,
      1.1972517846532964
    ],
    [
      0.0,
      0.44137619197095695,
      2.0673121041382703,
      1.2246598746092818
    ],
    [
      0.0,
      0.44116352162274974,
      2.1111178126971137,
      1.2792589579134697
    ],
    [
      0.0,
      0.44091345911978685,
      2.1801380003739106,
      1.2909300201213307
    ],
    [
      0.0,
      0.4408781274917761,
      2.312951222163356,
      1.335209226504322
    ],
    [
      0.0,
      0.4429905657760054,
      2.321364892626764,
      1.4047017451616075
    ],
    [
      0.0,
      0.44076171813069065,
      2.3303243518276777,
      1.3331058088884702
    ],
    [
      0.0,
      0.4402749832697118,
      2.333695584917841,
      1.2982685474080984
    ],
    [
      0.0,
      0.44005927203868533,
      2.3460123363801824,
      1.265507325919654
    ],
    [
      0.0,
      0.4401982100515627,
      2.3163296341348807,
      1.2469617823197277
    ],
    [
      0.0,
      0.4399876469042922,
      2.361355284443916,
      1.2570904414180364
    ],
    [
      0.0,
      0.43991083351198657,
      2.3788552390171307,
      1.257130315412464
    ],
    [
      0.0,
      0.4397628895492624,
      2.4136247735129808,
      1.2531203938494027
    ],
    [
      0.0,
      0.4395035282746208,
      2.4824720723386395,
      1.2404693288977706
    ],
    [
      0.0,
      0.43987661992107363,
      2.5786835023790746,
      1.3421716431761315
    ],
    [
      0.0,
      0.4401104053537438,
      2.5099979182370245,
      1.1761084105732287
    ],
    [
      0.0,
      0.43941033916224603,
      2.498562301919775,
      1.2473507903723668
    ],
    [
      0.0,
      0.4394118175340294,
      2.503677445746725,
      1.2819749914985967
    ],
    [
      0.0,
      0.43934578713754624,
      2.5158567956710263,
      1.244676751126594
    ],
    [
      0.0,
      0.43928381843122705,
      2.533138474736396,
      1.2419211080652441
    ],
    [
      0.0,
      0.4391716125301904,
      2.5675761400854773,
      1.2356723317606633
    ],
    [
      0.0,
      0.4390631717027179,
      2.6346541091090088,
      1.2156586846248176
    ],
    [
      0.0,
      0.44040135152972515,
      2.63628277113399,
      1.1456776339038661
    ],
    [
      0.0,
      0.43889675579367654,
      2.6396575208929702,
      1.2324281768807006
    ],
    [
      0.0,
      0.4387200691006159,
      2.6549267730779103,
      1.263921826045456
    ],
    [
      0.0,
      0.4386741943755484,
      2.680617850872664,
      1.2876908925341493
    ],
    [
      0.0,
      0.4390418887964031,
      2.660211212649823,
      1.3161262423023878
    ],
    [
      0.0,
      0.4385699112268981,
      2.693969658905656,
      1.276378102327921
    ],
    [
      0.0,
      0.43849463483946177,
      2.708377527830153,
      1.266445161521971
    ],
    [
      0.0,
      0.4383674580688462,
      2.7417194688272666,
      1.2558002110502684
    ],
    [
      0.0,
      0.438077692689425,
      2.809397746612091,
      1.27367898942241
    ],
    [
      0.0,
      0.4376447869527439,
      2.9467642766525755,
      1.3007055767881253
    ],
    [
      0.0,
      0.4433544699933702,
      3.0909789112298793,
      1.0607011202175551
    ],
    [
      0.0,
      0.4428414097936239,
      2.9384436746378086,
      1.4404580994204979
    ],
    [
      0.0,
      0.43760227376627325,
      2.9658211706475575,
      1.2333495466849191
    ],
    [
      0.0,
      0.43744364237216365,
      3.000711044165886,
      1.2361238440509283
    ],
    [
      0.0,
      0.4370998234860433,
      3.0700106526089814,
      1.2460013067632678
    ],
    [
      0.0,
      0.43646289555825263,
      3.207537188829416,
      1.2722015326250697
    ],
    [
      0.0,
      0.43541413306662874,
      3.4868079451684806,
      1.2923966967443976
    ],
    [
      0.0,
      0.46060484605503765,
      3.8725549766224407,
      0.8864419853239522
    ],
    [
      0.0,
      0.45238755132002134,
      3.48368504348046,
      1.5723792809975023
    ],
    [
      0.0,
      0.4377231913039036,
      3.505449836260135,
      1.153643390850351
    ],
    [
      0.0,
      0.4353070098780784,
      3.5214962716419924,
      1.2970571695173112
    ],
    [
      0.0,
      0.43687533111360644,
      3.5249899308332617,
      1.3669699319105628
    ],
    [
      0.0,
      0.43525655663001944,
      3.530624572463192,
      1.2632685009416231
    ],
    [
      0.0,
      0.4352136228755856,
      3.547783578614976,
      1.259830695263135
    ],
    [
      0.0,
      0.43519793824089104,
      3.5805983481162147,
      1.2476573266832978
    ],
    [
      0.0,
      0.43574917183974937,
      3.573454796876015,
      1.2133940858021635
    ],
    [
      0.0,
      0.4351867732105479,
      3.5891641583364984,
      1.2458714388732477
    ],
    [
      0.0,
      0.43502713228998907,
      3.5941077140039277,
      1.2626586738261227
    ],
    [
      0.0,
      0.43495277399394006,
      3.600036610540378,
      1.2791237333723275
    ],
    [
      0.0,
      0.4348873646205657,
      3.6175364083258064,
      1.279039605677034
    ],
    [
      0.0,
      0.43485407499998113,
      3.6309146814016784,
      1.2903210864977153
    ],
    [
      0.0,
      0.4347778088781924,
      3.6471915326051407,
      1.2838934808081643
    ],
    [
      0.0,
      0.43468195763945233,
      3.6791643004968386,
      1.2696547268829212
    ],
    [
      0.0,
      0.43453432091125976,
      3.7124401703392214,
      1.2805044497472529
    ],
    [
      0.0,
      0.4344677468732465,
      3.775369114910358,
      1.311163020085134
    ],
    [
      0.0,
      0.4343136758851437,
      3.8155311444325437,
      1.2538305564658276
    ],
    [
      0.0,
      0.43492648185497723,
      3.8696020821290493,
      1.2093745816523045
    ],
    [
      0.0,
      0.43411571604312976,
      3.8270416718606177,
      1.2868836615896666
    ],
    [
      0.0,
      0.4344126375431893,
      3.808069418448078,
      1.3162954551502501
    ],
    [
      0.0,
      0.4340522767586011,
      3.8445375843118725,
      1.2872618777950664
    ],
    [
      0.0,
      0.4340746733313552,
      3.854945258324715,
      1.3013306489440475
    ],
    [
      0.0,
      0.4340495615630952,
      3.8446132275529523,
      1.2837626953048153
    ],
    [
      0.0,
      0.4340249816472212,
      3.851488305148622,
      1.2824461437283403
    ],
    [
      0.0,
      0.4339786236095491,
      3.8652060695998904,
      1.2796491920913762
    ],
    [
      0.0,
      0.43391801404727953,
      3.8915895950028077,
      1.2702731808225252
    ],
    [
      0.0,
      0.43383889188939423,
      3.9072857492168636,
      1.2934600465634694
    ],
    [
      0.0,
      0.4338338362745986,
      3.932034509974773,
      1.3065558031642834
    ],
    [
      0.0,
      0.4340151315486221,
      3.9258833768036188,
      1.3191321126671036
    ],
    [
      0.0,
      0.4338374479635002,
      3.935178587350478,
      1.308093586457072
    ],
    [
      0.0,
      0.43377240649096077,
      3.9346008614073207,
      1.3000432122570746
    ],
    [
      0.0,
      0.4337309837158445,
      3.9369162548972874,
      1.2934372336780435
    ],
    [
      0.0,
      0.43372951728153125,
      3.933537335697634,
      1.287306743889926
    ],
    [
      0.0,
      0.43370708823256027,
      3.9395743248053017,
      1.2837634738587396
    ],
    [
      0.0,
      0.4336909469842783,
      3.9454709622983217,
      1.2799912508701148
    ],
    [
      0.0,
      0.4337134847288364,
      3.95329206217563,
      1.2683796016888327
    ],
    [
      0.0,
      0.4336674622953707,
      3.9505430057548754,
      1.2848156031763662
    ],
    [
      0.0,
      0.4336443483706825,
      3.957170232981307,
      1.287069457494915
    ],
    [
      0.0,
      0.433620010505826,
      3.968878450452722,
      1.2947452404284052
    ],
    [
      0.0,
      0.4335645458186751,
      3.9793258694701628,
      1.2854258286511517
    ],
    [
      0.0,
      0.43353357303526713,
      3.9913015648749948,
      1.2781744343320784
    ],
    [
      0.0,
      0.43347787423764067,
      4.0037703378538465,
      1.284540728419054
    ],
    [
      0.0,
      0.43340956339461334,
      4.029138009659372,
      1.296393206099571
    ],
    [
      0.0,
      0.4332996226320789,
      4.054319636409516,
      1.284150425605891
    ],
    [
      0.0,
      0.4332821350762765,
      4.104416262428225,
      1.259123878470068
    ],
    [
      0.0,
      0.43307770146848845,
      4.117977714254097,
      1.2836205522110997
    ],
    [
      0.0,
      0.4334723297684296,
      4.145124029745467,
      1.3326009314995766
    ],
    [
      0.0,
      0.4332305537820119,
      4.1270452323634785,
      1.2571294194430196
    ],
    [
      0.0,
      0.43305197445579185,
      4.124600497446117,
      1.285887431738445
    ],
    [
      0.0,
      0.4330701514134062,
      4.128236982040926,
      1.2994068984362004
    ],
    [
      0.0,
      0.4330355444948978,
      4.130734164065912,
      1.2825142827946232
    ],
    [
      0.0,
      0.433035648548549,
      4.135526102798774,
      1.2774116047545647
    ],
    [
      0.0,
      0.43301219248784095,
      4.1358275152359125,
      1.2873161338813461
    ],
    [
      0.0,
      0.4329987028537422,
      4.1409087904014825,
      1.2921307618723503
    ],
    [
      0.0,
      0.4330187420357619,
      4.142146225493144,
      1.2990205190809845
    ],
    [
      0.0,
      0.43297381713299865,
      4.146842965724822,
      1.2884178703802829
    ],
    [
      0.0,
      0.4329505998677989,
      4.153595659336335,
      1.286573655374099
    ],
    [
      0.0,
      0.4329017657643197,
      4.1675870104474795,
      1.2870656859470089
    ],
    [
      0.0,
      0.432804530248884,
      4.195554152316038,
      1.2884217743305322
    ],
    [
      0.0,
      0.43261147777710973,
      4.251552047773364,
      1.2889072682546503
    ],
    [
      0.0,
      0.4323569586108321,
      4.361078971128563,
      1.312313529390174
    ],
    [
      0.0,
      0.43318829569777306,
      4.419185732499014,
      1.2165659221979443
    ],
    [
      0.0,
      0.4339289834730696,
      4.363674572918131,
      1.3682533439353617
    ],
    [
      0.0,
      0.43221785167521104,
      4.369007906146603,
      1.2854596285659043
    ],
    [
      0.0,
      0.43232435602606717,
      4.385998450645634,
      1.2632038114021504
    ],
    [
      0.0,
      0.43228438772009464,
      4.35668208312312,
      1.2788207968317984
    ],
    [
      0.0,
      0.43220497625900584,
      4.371121291410502,
      1.2921329787535036
    ],
    [
      0.0,
      0.43218160747139095,
      4.378112404653126,
      1.292485591329588
    ],
    [
      0.0,
      0.43216100705981025,
      4.38487325350347,
      1.2942996814108136
    ],
    [
      0.0,
      0.4321530295849419,
      4.396192849628233,
      1.302537808841987
    ],
    [
      0.0,
      0.43208942815994583,
      4.405357953141197,
      1.2919547621352647
    ],
    [
      0.0,
      0.4320780245774747,
      4.414949741716911,
      1.2817568411746574
    ],
    [
      0.0,
      0.43201862513643935,
      4.426719356141975,
      1.2893381455667345
    ],
    [
      0.0,
      0.4319785837052812,
      4.450418529737383,
      1.3042495227967128
    ],
    [
      0.0,
      0.4318660973696138,
      4.473261826964009,
      1.2880574330052128
    ],
    [
      0.0,
      0.4320430093580847,
      4.517998089317514,
      1.2543726169802083
    ],
    [
      0.0,
      0.4319622428037599,
      4.482658712953245,
      1.3144335307777286
    ],
    [
      0.0,
      0.4318946441589835,
      4.480974424336886,
      1.2763734336144266
    ],
    [
      0.0,
      0.43188017110978855,
      4.4703408271163125,
      1.2861292836619935
    ],
    [
      0.0,
      0.4318521636933908,
      4.476728125126057,
      1.2941389440881417
    ],
    [
      0.0,
      0.431873414766566,
      4.47636215438726,
      1.3011293707860152
    ],
    [
      0.0,
      0.4318287471500954,
      4.483428245738473,
      1.2921120292455601
    ],
    [
      0.0,
      0.4318056598208472,
      4.490410458730508,
      1.2926107292895426
    ],
    [
      0.0,
      0.43176054409201176,
      4.5042541641650695,
      1.2905246277001923
    ],
    [
      0.0,
      0.4316676237273918,
      4.532194853764334,
      1.2923461283775324
    ],
    [
      0.0,
      0.4314895743208678,
      4.587951856120667,
      1.2975573363215562
    ],
    [
      0.0,
      0.4313982658740428,
      4.694149815650963,
      1.261976535436786
    ],
    [
      0.0,
      0.4324288528272041,
      4.742151052472291,
      1.363168833877047
    ],
    [
      0.0,
      0.4328236150496408,
      4.681031009210434,
      1.20753485179662
    ],
    [
      0.0,
      0.4314105078952706,
      4.707760236561005,
      1.2586968338266538
    ],
    [
      0.0,
      0.4311302586697531,
      4.699770726627996,
      1.2894065438179052
    ],
    [
      0.0,
      0.43125153148544376,
      4.703820042473162,
      1.3171121938046153
    ],
    [
      0.0,
      0.431174199673528,
      4.6857721861684105,
      1.289608694754947
    ],
    [
      0.0,
      0.4311428838647651,
      4.699720188893735,
      1.2859069087030088
    ],
    [
      1.0,
      0.4581673795565013,
      6.2109332970458455,
      0.979907167446804
    ],
    [
      1.0,
      0.46186925361963155,
      6.910933297045846,
      0.979907167446804
    ],
    [
      1.0,
      0.47100234194892915,
      6.2109332970458455,
      1.679907167446804
    ],
    [
      1.0,
      0.5074613696975733,
      6.016945945781748,
      0.30732341240246797
    ],
    [
      1.0,
      0.42710654691500705,
      6.186254940478319,
      1.3290360529849758
    ],
    [
      1.0,
      0.5016047909800717,
      6.1445439431333675,
      2.027792228414209
    ],
    [
      1.0,
      0.44294942145744515,
      5.9510688033384875,
      1.0698305729170494
    ],
    [
      1.0,
      0.42980409240811945,
      6.1214535704613375,
      1.3878325872699337
    ],
    [
      1.0,
      0.4280894584541256,
      6.35640279137371,
      1.3699592595514196
    ],
    [
      1.0,
      0.42784039019437015,
      6.193264115085933,
      1.2593878550806512
    ],
    [
      1.0,
      0.4274084552938174,
      6.253526584731261,
      1.3483887241056691
    ],
    [
      1.0,
      0.4279625274368473,
      6.165334394109311,
      1.3570954674411289
    ],
    [
      1.0,
      0.4269561925714224,
      6.188454095929463,
      1.3116747824294632
    ],
    [
      1.0,
      0.42705623827991834,
      6.184753858142411,
      1.294570448466421
    ],
    [
      1.0,
      0.4269484299895124,
      6.191926350040565,
      1.312114613519692
    ],
    [
      1.0,
      0.42694923185043515,
      6.194513865062879,
      1.3056104021140484
    ],
    [
      1.0,
      0.42694073618620465,
      6.198295052250027,
      1.3150197180216316
    ],
    [
      1.0,
      0.42694226953060593,
      6.204494680868504,
      1.3182700418505702
    ],
    [
      1.0,
      0.4269598271149116,
      6.196251761066082,
      1.3178613656313136
    ],
    [
      1.0,
      0.4269406213046384,
      6.197584640347607,
      1.3145088952256454
    ],
    [
      1.0,
      0.4269341953276807,
      6.1985718002132,
      1.3130638985475305
    ],
    [
      1.0,
      0.42692949936306795,
      6.199541994030855,
      1.3116074563220428
    ],
    [
      1.0,
      0.4269312555637469,
      6.199305386193709,
      1.3081154630901763
    ],
    [
      1.0,
      0.42692536458812924,
      6.201291139082049,
      1.3116621517503833
    ],
    [
      1.0,
      0.4269215079103072,
      6.20302278889438,
      1.3119149143414752
    ],
    [
      1.0,
      0.4269143826130292,
      6.2064490386504145,
      1.3126296258981711
    ],
    [
      1.0,
      0.42690459256849106,
      6.21306894157623,
      1.3149049028599447
    ],
    [
      1.0,
      0.4269470944697465,
      6.2140324304527175,
      1.3218382778811653
    ],
    [
      1.0,
      0.42689838289666654,
      6.213637760816673,
      1.3132499271284908
    ],
    [
      1.0,
      0.42688982388047625,
      6.2159098814249045,
      1.3105876972470478
    ],
    [
      1.0,
      0.42688337155642603,
      6.219008096222773,
      1.3089594880877973
    ],
    [
      1.0,
      0.4268897186654056,
      6.219931104897676,
      1.3055833875285643
    ],
    [
      1.0,
      0.4268792783927606,
      6.220376157718647,
      1.3100507752835013
    ],
    [
      1.0,
      0.4268776451982222,
      6.221223166328238,
      1.3115821395168827
    ],
    [
      1.0,
      0.42687331805194173,
      6.2229106191879335,
      1.3111184555228688
    ],
    [
      1.0,
      0.4268691059272166,
      6.224647501321279,
      1.310904585340595
    ],
    [
      1.0,
      0.42686076746031276,
      6.228142031952525,
      1.3107089947802866
    ],
    [
      1.0,
      0.4268441680569224,
      6.235141834240428,
      1.3106563836572394
    ],
    [
      1.0,
      0.4268112856468175,
      6.249120091354886,
      1.311436337529021
    ],
    [
      1.0,
      0.4267496237411619,
      6.2768978286362564,
      1.3079153559148784
    ],
    [
      1.0,
      0.4266934458016515,
      6.330324235367707,
      1.3246968654943418
    ],
    [
      1.0,
      0.4269531623609704,
      6.3627705989105765,
      1.279054412746446
    ],
    [
      1.0,
      0.4273673021277357,
      6.327144539752413,
      1.352515735633046
    ],
    [
      1.0,
      0.426685820945235,
      6.337278952902383,
      1.3254917893981653
    ],
    [
      1.0,
      0.42659984356055053,
      6.339496086146373,
      1.3116684641767002
    ],
    [
      1.0,
      0.42666178758235135,
      6.343506955537348,
      1.2982553017334677
    ],
    [
      1.0,
      0.42658853568773075,
      6.345861595978826,
      1.3145805569933797
    ],
    [
      1.0,
      0.42660248889833474,
      6.345633510911357,
      1.3180731172579991
    ],
    [
      1.0,
      0.4265866356097174,
      6.34673473604498,
      1.3146375782602469
    ],
    [
      1.0,
      0.42658179678417746,
      6.347670203110994,
      1.313158591658413
    ],
    [
      1.0,
      0.4265778249274725,
      6.349041343338135,
      1.3120711752351817
    ],
    [
      1.0,
      0.4265799926162698,
      6.349760068539432,
      1.3086457651743246
    ],
    [
      1.0,
      0.42657433326600647,
      6.35068524089869,
      1.3126712592379712
    ],
    [
      1.0,
      0.4265717706979632,
      6.352205782461208,
      1.3135375463477987
    ],
    [
      1.0,
      0.4265731759493517,
      6.354500406333536,
      1.3161804048919783
    ],
    [
      1.0,
      0.42656773555542205,
      6.35344112896245,
      1.312298022640131
    ],
    [
      1.0,
      0.42656395034276906,
      6.355039887255068,
      1.3115863542329464
    ],
    [
      1.0,
      0.4265610519645815,
      6.357545546796655,
      1.3091426541159814
    ],
    [
      1.0,
      0.42655169454733793,
      6.3604466555188415,
      1.3111006041107598
    ],
    [
      1.0,
      0.4265446502094829,
      6.363543149267733,
      1.31273208394915
    ],
    [
      1.0,
      0.426528533084931,
      6.370543029282622,
      1.3127730690337918
    ],
    [
      1.0,
      0.42649618805183376,
      6.3845393411441975,
      1.312451737003756
    ],
    [
      1.0,
      0.426432612478897,
      6.412518204108414,
      1.3113639745160874
    ],
    [
      1.0,
      0.42632528640415784,
      6.467933657353572,
      1.3194341381844248
    ],
    [
      1.0,
      0.4276764829347366,
      6.554286128570551,
      1.248109172606299
    ],
    [
      1.0,
      0.42812657841673674,
      6.465772769447128,
      1.375392431255745
    ],
    [
      1.0,
      0.426468709743451,
      6.473590293418695,
      1.2920114747757268
    ],
    [
      1.0,
      0.4264801081498077,
      6.470794284004428,
      1.3331387656935698
    ],
    [
      1.0,
      0.4263136224321685,
      6.471359814230858,
      1.3187189815217109
    ],
    [
      1.0,
      0.4262983229281446,
      6.471967469305178,
      1.3117454060176632
    ],
    [
      1.0,
      0.4262949130045969,
      6.4778528670631115,
      1.3079556707721722
    ],
    [
      1.0,
      0.42634429322176337,
      6.475316353380711,
      1.3014314008253511
    ],
    [
      1.0,
      0.4262819049732535,
      6.479939484900612,
      1.3107656576049214
    ],
    [
      1.0,
      0.42627489104051647,
      6.482202970507482,
      1.3134352330220034
    ],
    [
      1.0,
      0.4262685782965807,
      6.485485612122422,
      1.3146494257694148
    ],
    [
      1.0,
      0.42627556496183844,
      6.490318251293188,
      1.3197135741326815
    ],
    [
      1.0,
      0.42626330360324577,
      6.487597969826606,
      1.3118587367990038
    ],
    [
      1.0,
      0.42625632777486216,
      6.491050892735369,
      1.3112866149709441
    ],
    [
      1.0,
      0.42624423534094463,
      6.497899514137233,
      1.3098387251636956
    ],
    [
      1.0,
      0.42626998170550967,
      6.509238945911628,
      1.3016279220949436
    ],
    [
      1.0,
      0.426237524752153,
      6.5006954958862355,
      1.3162560833475
    ],
    [
      1.0,
      0.42622480090985543,
      6.507628718701768,
      1.317220666879487
    ],
    [
      1.0,
      0.42620204777222565,
      6.521482534164593,
      1.319238536330659
    ],
    [
      1.0,
      0.42623356853992955,
      6.5477270417160875,
      1.3289969082942372
    ],
    [
      1.0,
      0.42620327730744956,
      6.525210931543191,
      1.305744128118838
    ],
    [
      1.0,
      0.4261995155026154,
      6.524856136217548,
      1.3201706356753085
    ],
    [
      1.0,
      0.4262035715586014,
      6.531329533956253,
      1.3228343026433294
    ],
    [
      1.0,
      0.4262117387685478,
      6.524190219475543,
      1.3217889851099847
    ],
    [
      1.0,
      0.42618237491906613,
      6.52591582050542,
      1.3168349094860003
    ],
    [
      1.0,
      0.4261752222071476,
      6.5268555981216405,
      1.3134634382890225
    ],
    [
      1.0,
      0.4261826060449721,
      6.525323471487763,
      1.3103166005147224
    ],
    [
      1.0,
      0.4261735214714179,
      6.527642307565215,
      1.313080406630553
    ],
    [
      1.0,
      0.4261698968105186,
      6.529271830203228,
      1.3137184943770293
    ],
    [
      1.0,
      0.42616216441564625,
      6.532769993485983,
      1.3138318683034271
    ],
    [
      1.0,
      0.4261466862604822,
      6.5397689112569015,
      1.3139549537856388
    ],
    [
      1.0,
      0.4261157736927066,
      6.553767949105274,
      1.3141190858051301
    ],
    [
      1.0,
      0.4260547737578608,
      6.5817503524696,
      1.3151116088306405
    ],
    [
      1.0,
      0.42621686362933997,
      6.6311185439702,
      1.2886771300584008
    ],
    [
      1.0,
      0.42641603494155716,
      6.5870389725778855,
      1.3426076175837347
    ],
    [
      1.0,
      0.426114367095174,
      6.58443198999692,
      1.301370836648115
    ],
    [
      1.0,
      0.42604808580439696,
      6.585185545515231,
      1.3157820182124706
    ],
    [
      1.0,
      0.4260758766657716,
      6.586775984780601,
      1.3225989458887166
    ],
    [
      1.0,
      0.4260432545083267,
      6.586997893182953,
      1.312787791111647
    ],
    [
      1.0,
      0.42603663843597084,
      6.590434870433878,
      1.3121265896471752
    ],
    [
      1.0,
      0.42602659190435554,
      6.5971796007661165,
      1.3102534605151115
    ],
    [
      1.0,
      0.4261076384271816,
      6.604595062862153,
      1.2983786585419308
    ],
    [
      1.0,
      0.4260171853338926,
      6.599979817084872,
      1.316668972074463
    ],
    [
      1.0,
      0.4260125096022845,
      6.606409910607598,
      1.3194355398558477
    ],
    [
      1.0,
      0.4260657104694603,
      6.606994730664369,
      1.3264110674703868
    ],
    [
      1.0,
      0.425998784306517,
      6.608028133803324,
      1.3163320976236137
    ],
    [
      1.0,
      0.4259928341175058,
      6.6099364942805945,
      1.313398130976088
    ],
    [
      1.0,
      0.42598634020162585,
      6.6133353910654735,
      1.3125629659350697
    ],
    [
      1.0,
      0.4259830369642995,
      6.619453171983952,
      1.3091610904768105
    ],
    [
      1.0,
      0.42596351780081715,
      6.62338267784729,
      1.3149541021003095
    ],
    [
      1.0,
      0.4259700315538264,
      6.627767734392294,
      1.3204104084605788
    ],
    [
      1.0,
      0.4259602206758576,
      6.625643882976449,
      1.3122825947797379
    ],
    [
      1.0,
      0.42597143263975634,
      6.625714449602119,
      1.3087833062304266
    ],
    [
      1.0,
      0.4259557485101603,
      6.6271334408385485,
      1.3132011356745574
    ],
    [
      1.0,
      0.4259517489327385,
      6.6287865774391435,
      1.3137752779737941
    ],
    [
      1.0,
      0.4259441492937128,
      6.632226259941658,
      1.3144222588714252
    ],
    [
      1.0,
      0.4259290225181335,
      6.639221880431928,
      1.3146698350336572
    ],
    [
      1.0,
      0.4259009644108808,
      6.653080297172784,
      1.3166558575503393
    ],
    [
      1.0,
      0.4259100473207757,
      6.677322169868594,
      1.3026440194053936
    ],
    [
      1.0,
      0.42598399947963334,
      6.658987079416559,
      1.3293487659453695
    ],
    [
      1.0,
      0.4259020861248211,
      6.655656408490979,
      1.310147121077239
    ],
    [
      1.0,
      0.4258979385882238,
      6.656227165423341,
      1.3181879215873942
    ],
    [
      1.0,
      0.42589891107542954,
      6.65918848404125,
      1.320053556075505
    ],
    [
      1.0,
      0.4259015520696131,
      6.655760756801313,
      1.3189282512418714
    ],
    [
      1.0,
      0.42589230869868955,
      6.65705848163604,
      1.3166479821877732
    ],
    [
      1.0,
      0.42588755108605847,
      6.65866143105005,
      1.3135366234530528
    ],
    [
      1.0,
      0.42589738180964465,
      6.657943801007607,
      1.3101109837869198
    ],
    [
      1.0,
      0.4258835783191214,
      6.660353759524128,
      1.313982184151303
    ],
    [
      1.0,
      0.42587998236418334,
      6.662092054065243,
      1.3137801146377013
    ],
    [
      1.0,
      0.4258749753522117,
      6.665312919708577,
      1.3124104341977465
    ],
    [
      1.0,
      0.4258666759080799,
      6.668132416359258,
      1.3144841840951058
    ],
    [
      1.0,
      0.4258582471632228,
      6.674187799916952,
      1.3179959258238227
    ],
    [
      1.0,
      0.42584188896045194,
      6.679849324995818,
      1.313879236160832
    ],
    [
      1.0,
      0.4258421189553631,
      6.692079384022805,
      1.3070655986450552
    ],
    [
      1.0,
      0.4258460508114896,
      6.683235299695867,
      1.3200058318983217
    ],
    [
      1.0,
      0.4258396393202175,
      6.681380973930191,
      1.3130327424858197
    ],
    [
      1.0,
      0.4258431705532461,
      6.683450623611434,
      1.3102102347007238
    ],
    [
      1.0,
      0.4258357897529882,
      6.682571292058619,
      1.3143155685664458
    ],
    [
      1.0,
      0.4258323766612733,
      6.684121514471256,
      1.315127547920469
    ],
    [
      1.0,
      0.4258326901642725,
      6.686044455432888,
      1.3180519791571506
    ],
    [
      1.0,
      0.42582949842037005,
      6.685562799544662,
      1.314134976846349
    ],
    [
      1.0,
      0.425827651696516,
      6.686970513519934,
      1.3130953416392575
    ],
    [
      1.0,
      0.4258285625481986,
      6.6879999501770575,
      1.311680152546249
    ],
    [
      1.0,
      0.4258267452976805,
      6.687253551338536,
      1.3133012289706822
    ],
    [
      1.0,
      0.42582513463005045,
      6.6877273920440095,
      1.3138164716182144
    ],
    [
      1.0,
      0.4258227372573815,
      6.688609672320071,
      1.3149034773746258
    ],
    [
      1.0,
      0.4258236301635128,
      6.6896029254421885,
      1.3175213865089168
    ],
    [
      1.0,
      0.4258201364085941,
      6.689892386103656,
      1.3143425448034547
    ],
    [
      1.0,
      0.42581815133385076,
      6.691097580005842,
      1.3136301490860796
    ],
    [
      1.0,
      0.4258176808798466,
      6.693126036720037,
      1.3117000290487155
    ],
    [
      1.0,
      0.4258294854997129,
      6.691325169818388,
      1.309555995839424
    ],
    [
      1.0,
      0.42581533737721433,
      6.693608566729378,
      1.3122071432272644
    ],
    [
      1.0,
      0.42581127826922405,
      6.694623250825358,
      1.3131717240612883
    ],
    [
      1.0,
      0.4258053535094814,
      6.69674180574027,
      1.3150024957763038
    ],
    [
      1.0,
      0.42579629900785115,
      6.7019166419677365,
      1.3171428392111066
    ],
    [
      1.0,
      0.425859661926865,
      6.70551653165644,
      1.3277485355215413
    ],
    [
      2.0,
      0.44556407620445493,
      3.4699780299077307,
      2.483086369319051
    ],
    [
      2.0,
      0.44609546042290965,
      4.169978029907731,
      2.483086369319051
    ],
    [
      2.0,
      0.45807779962292994,
      3.4699780299077307,
      3.183086369319051
    ],
    [
      2.0,
      0.47092886870156475,
      3.4402799116163116,
      1.7837166375105111
    ],
    [
      2.0,
      0.4280552660731315,
      3.4626603501505473,
      2.8330098631901706
    ],
    [
      2.0,
      0.48496631104029125,
      3.452038188077977,
      3.532929265459392
    ],
    [
      2.0,
      0.4391834477822181,
      3.2432592475697755,
      2.5603137756011813
    ],
    [
      2.0,
      0.4298986439958091,
      3.3944863282533,
      2.8878601388353635
    ],
    [
      2.0,
      0.4283997711725801,
      3.629419917430461,
      2.886078184443212
    ],
    [
      2.0,
      0.4280312380496721,
      3.44072023989247,
      2.8057402544312717
    ],
    [
      2.0,
      0.4283121142668468,
      3.4938013588065764,
      2.7601069900857693
    ],
    [
      2.0,
      0.42826884254467246,
      3.4101583622515586,
      2.822798145129185
    ],
    [
      2.0,
      0.4280128684702405,
      3.4532196991980517,
      2.7934922538977927
    ],
    [
      2.0,
      0.4281815022776075,
      3.4581524044748,
      2.776701827499016
    ],
    [
      2.0,
      0.427986168535501,
      3.456577784477807,
      2.794478794953142
    ],
    [
      2.0,
      0.4279350630790652,
      3.4591994950678355,
      2.8009692982912613
    ],
    [
      2.0,
      0.4278910714849575,
      3.464593882454388,
      2.8054303054335783
    ],
    [
      2.0,
      0.4278861675057592,
      3.4693228576258397,
      2.8186074369054803
    ],
    [
      2.0,
      0.4278365290308322,
      3.4759790636229395,
      2.8164406601001377
    ],
    [
      2.0,
      0.4277897141965039,
      3.482676365441094,
      2.8144044507895445
    ],
    [
      2.0,
      0.42770289707752196,
      3.4962002125050073,
      2.8107842904903477
    ],
    [
      2.0,
      0.4275433930879278,
      3.5237868830245644,
      2.8059910025117873
    ],
    [
      2.0,
      0.4272140943757923,
      3.579584293679357,
      2.8107500953056355
    ],
    [
      2.0,
      0.42658400717410416,
      3.6912376182918667,
      2.819555497225682
    ],
    [
      2.0,
      0.4275474760388697,
      3.8938880424285913,
      2.7241154343736205
    ],
    [
      2.0,
      0.4298788122799969,
      3.715255212982036,
      2.9289499904385434
    ],
    [
      2.0,
      0.426411869809793,
      3.718586241595082,
      2.81355109855314
    ],
    [
      2.0,
      0.42720332509616654,
      3.7180203185384557,
      2.757553958169956
    ],
    [
      2.0,
      0.42648552899973374,
      3.734137453716196,
      2.836835423786311
    ],
    [
      2.0,
      0.4263912138484236,
      3.7270579230218477,
      2.8024052197720213
    ],
    [
      2.0,
      0.4265371238191185,
      3.7223189472939495,
      2.7892316815589826
    ],
    [
      2.0,
      0.42634077031807743,
      3.733061530474483,
      2.8060047610698344
    ],
    [
      2.0,
      0.426296404764784,
      3.739380808699918,
      2.8090158609867335
    ],
    [
      2.0,
      0.4262175110086563,
      3.7525888351492624,
      2.8136578473410236
    ],
    [
      2.0,
      0.42606384661661495,
      3.7803579504489417,
      2.817246194519476
    ],
    [
      2.0,
      0.42591136297148324,
      3.8327972809587716,
      2.836896044790682
    ],
    [
      2.0,
      0.42576185049321663,
      3.8632032700426198,
      2.7898697135725987
    ],
    [
      2.0,
      0.42579310052801755,
      3.916586104989711,
      2.772950111537929
    ],
    [
      2.0,
      0.4263385089593689,
      3.851760544159012,
      2.7643145961916784
    ],
    [
      2.0,
      0.42575945265436477,
      3.85681449069739,
      2.7927303950435007
    ],
    [
      2.0,
      0.42561887161466294,
      3.8623225672068977,
      2.805601334914598
    ],
    [
      2.0,
      0.42557180535559497,
      3.8676047836036758,
      2.8185666035172
    ],
    [
      2.0,
      0.42567470253078205,
      3.8562195825658865,
      2.826713823738179
    ],
    [
      2.0,
      0.4255322699747301,
      3.874604713873972,
      2.8185353591418547
    ],
    [
      2.0,
      0.42549815626321147,
      3.8814196039919864,
      2.8201345066270456
    ],
    [
      2.0,
      0.4254640857160336,
      3.8936061414257774,
      2.82702568253358
    ],
    [
      2.0,
      0.4253678424260077,
      3.903425356065003,
      2.817046553119207
    ],
    [
      2.0,
      0.4253222378584627,
      3.9249112372956025,
      2.799092252582996
    ],
    [
      2.0,
      0.42512682504766847,
      3.946595229126954,
      2.816806780469956
    ],
    [
      2.0,
      0.4252156072686773,
      3.991532504137947,
      2.8502229638933576
    ],
    [
      2.0,
      0.42521116112707336,
      3.9600474479230545,
      2.7922499523062485
    ],
    [
      2.0,
      0.42509826057274047,
      3.952734436167881,
      2.820169835168981
    ],
    [
      2.0,
      0.4251452735712411,
      3.9586188079703284,
      2.832873148456882
    ],
    [
      2.0,
      0.42506318347901845,
      3.957998179077642,
      2.8155554001461485
    ],
    [
      2.0,
      0.42502687145933826,
      3.9647726197094277,
      2.8137927447270696
    ],
    [
      2.0,
      0.4249727457633416,
      3.9775884114821864,
      2.8081575445321083
    ],
    [
      2.0,
      0.42487363294695035,
      3.998363013106735,
      2.8269302887998307
    ],
    [
      2.0,
      0.42472225224752813,
      4.026353664285629,
      2.8276537848824232
    ],
    [
      2.0,
      0.4243856964194225,
      4.081859030342586,
      2.8202271881596204
    ],
    [
      2.0,
      0.4240837249890003,
      4.1891987556427805,
      2.788255585564837
    ],
    [
      2.0,
      0.42453278195555283,
      4.254094687281248,
      2.879538212919528
    ],
    [
      2.0,
      0.425807080729771,
      4.199906719187632,
      2.7332888727586107
    ],
    [
      2.0,
      0.4237568305661408,
      4.199165983180305,
      2.8144214865662396
    ],
    [
      2.0,
      0.4237951253216461,
      4.213070362509943,
      2.8387251536857825
    ],
    [
      2.0,
      0.4237378480405136,
      4.205241899960191,
      2.81094539173383
    ],
    [
      2.0,
      0.42379608523023377,
      4.212961261625046,
      2.7992658602583314
    ],
    [
      2.0,
      0.423696474073234,
      4.209768150787537,
      2.8162851532873034
    ],
    [
      2.0,
      0.42366372194866775,
      4.215570450732682,
      2.82020093103209
    ],
    [
      2.0,
      0.42358897956565283,
      4.229568451444195,
      2.8199643383853936
    ],
    [
      2.0,
      0.4234430285844369,
      4.257473635423236,
      2.8222666648383297
    ],
    [
      2.0,
      0.423169880087104,
      4.313104678666124,
      2.8286843768689445
    ],
    [
      2.0,
      0.4242333611931943,
      4.393258217003523,
      2.7504577171422557
    ],
    [
      2.0,
      0.42430464480981667,
      4.322993780098922,
      2.8838042977039007
    ],
    [
      2.0,
      0.4232032035367486,
      4.322102263135607,
      2.802169409893394
    ],
    [
      2.0,
      0.4231480477031388,
      4.319733420410012,
      2.8309337729863153
    ],
    [
      2.0,
      0.4231738992581714,
      4.33051591373611,
      2.8398633775504973
    ],
    [
      2.0,
      0.4231002106827014,
      4.3234315662882015,
      2.8249903970884245
    ],
    [
      2.0,
      0.4230675754810684,
      4.328391778013118,
      2.8200511360461227
    ],
    [
      2.0,
      0.42303096352890274,
      4.33538665847721,
      2.820318806165964
    ],
    [
      2.0,
      0.42296423854696824,
      4.348980657775879,
      2.8169716905318998
    ],
    [
      2.0,
      0.4228190120895436,
      4.37632340741817,
      2.8230027801514486
    ],
    [
      2.0,
      0.4225687519646942,
      4.431544460404754,
      2.8323105890801297
    ],
    [
      2.0,
      0.42381769778419265,
      4.506078428166793,
      2.7487122179856684
    ],
    [
      2.0,
      0.4238402207637944,
      4.437452773661831,
      2.8879980368081073
    ],
    [
      2.0,
      0.42252351436834157,
      4.4338714126369245,
      2.818505325833484
    ],
    [
      2.0,
      0.4224714924970961,
      4.458972773503161,
      2.806098808084214
    ],
    [
      2.0,
      0.4229660359993194,
      4.463253337391662,
      2.778427943030941
    ],
    [
      2.0,
      0.4223596378234328,
      4.466170972188185,
      2.8181065529054083
    ],
    [
      2.0,
      0.42232401157432775,
      4.475093435274146,
      2.8288949565166783
    ],
    [
      2.0,
      0.4222446494300973,
      4.488884400224716,
      2.8264847105267115
    ],
    [
      2.0,
      0.4221020142497049,
      4.516171237191818,
      2.820205496536824
    ],
    [
      2.0,
      0.42182960212643605,
      4.572092039177943,
      2.817228265402264
    ],
    [
      2.0,
      0.42213753545482674,
      4.6752696030503405,
      2.7736577442514063
    ],
    [
      2.0,
      0.4224660012601262,
      4.5872954315172265,
      2.8711249894342292
    ],
    [
      2.0,
      0.42195067240485046,
      4.571347731394303,
      2.8032480649057328
    ],
    [
      2.0,
      0.4218428842899386,
      4.587097529149537,
      2.8408679623274025
    ],
    [
      2.0,
      0.42187913657801657,
      4.560083582582383,
      2.8244252766008477
    ],
    [
      2.0,
      0.4217926683854462,
      4.577279338779815,
      2.8219284699553047
    ],
    [
      2.0,
      0.42175966907404533,
      4.583835460173392,
      2.82438148285227
    ],
    [
      2.0,
      0.4216895459683844,
      4.5978354355678315,
      2.8244077308065227
    ],
    [
      2.0,
      0.42155005015646446,
      4.625833007702123,
      2.8247764510055244
    ],
    [
      2.0,
      0.4212786514519773,
      4.681718818724216,
      2.828350821775737
    ],
    [
      2.0,
      0.42150829589687083,
      4.782089134314204,
      2.7786537418980815
    ],
    [
      2.0,
      0.4222341564172141,
      4.698596551192,
      2.8817469091487453
    ],
    [
      2.0,
      0.42120763869531164,
      4.695067840567468,
      2.8241313886587913
    ],
    [
      2.0,
      0.4214752434001401,
      4.694586544118018,
      2.7961355255049654
    ],
    [
      2.0,
      0.4211960155893509,
      4.704322804844402,
      2.8346359417779237
    ],
    [
      2.0,
      0.4211464100287565,
      4.710241368176936,
      2.830898214115454
    ],
    [
      2.0,
      0.42107793365949003,
      4.721757036585525,
      2.8229364692625074
    ],
    [
      2.0,
      0.4210267508407033,
      4.73496610842975,
      2.818297458482813
    ],
    [
      2.0,
      0.4213500840371222,
      4.742643442369976,
      2.7913705473422783
    ],
    [
      2.0,
      0.4209859707023841,
      4.74231840436297,
      2.8302114731088888
    ],
    [
      2.0,
      0.42093101281061224,
      4.75603800809795,
      2.832999388702146
    ],
    [
      2.0,
      0.4208589324671062,
      4.78294978557734,
      2.840729604281275
    ],
    [
      2.0,
      0.42132157952857424,
      4.791050410657819,
      2.8675322137308323
    ],
    [
      2.0,
      0.42075529849980725,
      4.788399445963623,
      2.827833821960137
    ],
    [
      2.0,
      0.4207408992440992,
      4.796596577358475,
      2.816484503174609
    ],
    [
      2.0,
      0.4206562065249452,
      4.809080762886114,
      2.8228205201972725
    ],
    [
      2.0,
      0.4205621875343623,
      4.834236007559816,
      2.8351174167734907
    ],
    [
      2.0,
      0.42040591826766915,
      4.860869411076138,
      2.826476709792187
    ],
    [
      2.0,
      0.4204024478721314,
      4.910514423807653,
      2.800565848924827
    ],
    [
      2.0,
      0.4201094206821062,
      4.923638595276982,
      2.825299553120593
    ],
    [
      2.0,
      0.4207467581638147,
      4.949842980989936,
      2.8747902610303284
    ],
    [
      2.0,
      0.4203482864051135,
      4.931473069581031,
      2.798417942075509
    ],
    [
      2.0,
      0.42007727498603414,
      4.930358998038253,
      2.8272581716966054
    ],
    [
      2.0,
      0.42013225014839256,
      4.933280613439647,
      2.8409499270057808
    ],
    [
      2.0,
      0.42005771032699407,
      4.935703451869234,
      2.822737462322125
    ],
    [
      2.0,
      0.42002234570357133,
      4.9425406049668075,
      2.8242385744166545
    ],
    [
      2.0,
      0.41995757698113817,
      4.955979794065892,
      2.8281613535793193
    ],
    [
      2.0,
      0.4198341039457141,
      4.983768532118823,
      2.8315944334539513
    ],
    [
      2.0,
      0.4199144225868606,
      5.033123113918559,
      2.858054313562772
    ],
    [
      2.0,
      0.4199374616769704,
      4.994731762362703,
      2.8058299698923
    ],
    [
      2.0,
      0.41987866761052434,
      4.991551773524651,
      2.84323149292869
    ],
    [
      2.0,
      0.41985492961841747,
      4.980859267250138,
      2.8335402438054085
    ],
    [
      2.0,
      0.4198133414165317,
      4.987063361024443,
      2.8254183422562207
    ],
    [
      2.0,
      0.4198425310321385,
      4.986304950326498,
      2.8184595483080397
    ],
    [
      2.0,
      0.41978062788688336,
      4.9938580917708,
      2.827101088251467
    ],
    [
      2.0,
      0.4197489984879358,
      5.000790028819145,
      2.8261273075996853
    ],
    [
      2.0,
      0.4196843677040516,
      5.0146560708598145,
      2.8280593733662642
    ],
    [
      2.0,
      0.41955758461233267,
      5.042575309850311,
      2.8301844837614
    ],
    [
      2.0,
      0.4195226066122917,
      5.093987407644251,
      2.8523834972625974
    ],
    [
      2.0,
      0.4194543212226102,
      5.118634890181095,
      2.802099288960229
    ],
    [
      2.0,
      0.4197995714590558,
      5.140405481271943,
      2.7844912974917193
    ],
    [
      2.0,
      0.4195850627067473,
      5.114232892313968,
      2.7966566411875173
    ],
    [
      2.0,
      0.4192567873809995,
      5.119984986841325,
      2.816034038294467
    ],
    [
      2.0,
      0.4192197228571998,
      5.116214975041861,
      2.829516879650498
    ],
    [
      2.0,
      0.4191719413698073,
      5.129344209610827,
      2.8343772499690085
    ],
    [
      2.0,
      0.41922827116971484,
      5.137341968683247,
      2.8458679353193053
    ],
    [
      2.0,
      0.41914114011332115,
      5.133484530516034,
      2.8287329836037576
    ],
    [
      2.0,
      0.4191159043548095,
      5.1397641681093225,
      2.8256400639965005
    ],
    [
      2.0,
      0.4191676440896261,
      5.1463240938495485,
      2.8132720660064168
    ],
    [
      2.0,
      0.4190923365419315,
      5.144618891795036,
      2.8306830450529166
    ],
    [
      2.0,
      0.4190624788206506,
      5.151562832905558,
      2.831567172788941
    ],
    [
      2.0,
      0.419005231302385,
      5.16541958817802,
      2.8335647546568756
    ],
    [
      2.0,
      0.4189276996591016,
      5.19239054537731,
      2.841085889395335
    ],
    [
      2.0,
      0.4188671646113184,
      5.206564420686239,
      2.816938399697088
    ],
    [
      2.0,
      0.4188188268061649,
      5.233855950141117,
      2.810679612273511
    ],
    [
      2.0,
      0.41920874565326305,
      5.25154909508527,
      2.788978169418595
    ],
    [
      2.0,
      0.4186844456929969,
      5.237921989158879,
      2.824076153868491
    ],
    [
      2.0,
      0.41866946023427937,
      5.24344025375493,
      2.836942729009063
    ]
  ]
}

{
  "name": "qaoa_p1_shots",
  "dtype": "int64",
  "shape": [
    10,
    256
  ],
  "data": [
    [
      1360,
      2411,
      7297,
      4191,
      2107,
      1960,
      8132,
      4337,
      4962,
      7490,
      7506,
      237,
      7294,
      6928,
      7441,
      1784,
      590,
      1477,
      3783,
      2800,
      5764,
      5653,
      4257,
      1606,
      2291,
      5860,
      1571,
      3233,
      7843,
      7251,
      5035,
      2809,
      6251,
      6610,
      7474,
      5924,
      4089,
      935,
      2673,
      4634,
      3602,
      4633,
      7817,
      5910,
      1467,
      6709,
      3724,
      7813,
      3462,
      4931,
      901,
      1363,
      6465,
      970,
      4311,
      7116,
      2911,
      7329,
      1081,
      7432,
      6430,
      4555,
      4516,
      1721,
      1489,
      4247,
      3358,
      2444,
      2844,
      2078,
      5929,
      4939,
      943,
      4971,
      3626,
      7238,
      1901,
      1112,
      5515,
      5900,
      7624,
      2103,
      3792,
      2319,
      3471,
      3478,
      6701,
      438,
      550,
      2899,
      1709,
      3172,
      3969,
      3813,
      5763,
      7490,
      4481,
      3213,
      7724,
      6832,
      1134,
      7547,
      1108,
      1411,
      8128,
      6594,
      1845,
      3478,
      6155,
      3591,
      7169,
      3161,
      1101,
      2718,
      4622,
      797,
      7189,
      3290,
      7345,
      4298,
      3527,
      1173,
      7122,
      2575,
      3701,
      3408,
      655,
      7748,
      6036,
      6890,
      2797,
      1342,
      6754,
      7459,
      421,
      2347,
      4470,
      3203,
      3124,
      62,
      2658,
      2846,
      4133,
      6282,
      5643,
      6862,
      5861,
      1953,
      3642,
      6568,
      543,
      5325,
      3383,
      4036,
      3166,
      2835,
      5601,
      4261,
      6601,
      6548,
      4822,
      7094,
      720,
      1539,
      5263,
      5417,
      3336,
      4403,
      5517,
      1187,
      619,
      7276,
      1465,
      4493,
      5545,
      3635,
      663,
      1924,
      7386,
      3553,
      1420,
      3311,
      3800,
      2379,
      3898,
      5350,
      4962,
      1677,
      5798,
      6317,
      416,
      1704,
      1854,
      6249,
      5325,
      1512,
      7559,
      4563,
      4234,
      5958,
      5637,
      1138,
      6498,
      1707,
      4371,
      551,
      1625,
      4237,
      2314,
      1234,
      7716,
      4933,
      3022,
      5802,
      3134,
      2918,
      5352,
      7045,
      7913,
      5003,
      835,
      7186,
      457,
      3700,
      751,
      3398,
      2202,
      3621,
      5530,
      3022,
      6685,
      4254,
      591,
      6308,
      3757,
      5049,
      1065,
      3048,
      5945,
      857,
      4881,
      3778,
      5672,
      6376,
      6992,
      6486,
      7329,
      5805,
      5603,
      6376,
      6312,
      6168,
      5290,
      3236,
      817,
      5408
    ],
    [
      1458,
      5410,
      5638,
      1575,
      1351,
      4806,
      617,
      6929,
      2191,
      5787,
      3542,
      3788,
      2157,
      4823,
      3173,
      1082,
      171,
      5012,
      7308,
      3123,
      783,
      505,
      998,
      6796,
      2454,
      1329,
      7393,
      1539,
      6632,
      2235,
      779,
      5797,
      5810,
      4218,
      5045,
      4205,
      3665,
      2667,
      3619,
      1243,
      3873,
      3249,
      180,
      1144,
      1481,
      5015,
      582,
      5576,
      3536,
      3586,
      5010,
      3131,
      857,
      782,
      1403,
      3537,
      1931,
      7004,
      4974,
      4495,
      7307,
      6930,
      7960,
      5398,
      3186,
      4311,
      6579,
      6697,
      6925,
      696,
      7058,
      4570,
      632,
      1588,
      1433,
      4996,
      3338,
      866,
      467,
      948,
      1451,
      2773,
      2851,
      4958,
      4152,
      4900,
      6376,
      4438,
      6422,
      699,
      3399,
      7368,
      7750,
      7238,
      1002,
      5425,
      534,
      7241,
      1895,
      2754,
      5895,
      5974,
      3246,
      30,
      5574,
      5225,
      5932,
      5379,
      175,
      4276,
      4202,
      3031,
      1376,
      5273,
      6017,
      6848,
      472,
      1270,
      4881,
      3388,
      1075,
      1698,
      5032,
      4459,
      1546,
      802,
      2100,
      3698,
      5175,
      3642,
      720,
      4492,
      6960,
      3681,
      7366,
      2746,
      387,
      4930,
      4843,
      1209,
      4168,
      745,
      3880,
      508,
      1401,
      6637,
      3538,
      7098,
      7788,
      2853,
      7540,
      1545,
      2271,
      4971,
      6820,
      6342,
      813,
      2674,
      4786,
      2354,
      6312,
      4645,
      5025,
      1554,
      45,
      1810,
      1385,
      4069,
      7460,
      2623,
      7709,
      1943,
      1075,
      1221,
      4969,
      6615,
      1816,
      4757,
      2363,
      4135,
      2593,
      2929,
      6520,
      4344,
      5060,
      2006,
      7601,
      7062,
      1904,
      4538,
      334,
      1909,
      2183,
      5589,
      967,
      3269,
      2756,
      317,
      2375,
      4709,
      904,
      4694,
      7621,
      7052,
      2962,
      826,
      3650,
      4219,
      5197,
      1264,
      8148,
      2763,
      1962,
      790,
      5643,
      2788,
      4738,
      5452,
      47,
      6769,
      6457,
      1366,
      5586,
      183,
      5964,
      7443,
      1996,
      2398,
      2546,
      5418,
      5897,
      1313,
      3529,
      6628,
      7764,
      4677,
      4550,
      821,
      330,
      1204,
      5313,
      5419,
      4738,
      1645,
      4494,
      3249,
      6373,
      5442,
      1814,
      485,
      6992,
      6716,
      5705,
      4951,
      7605,
      1398
    ],
    [
      1286,
      5356,
      3149,
      7186,
      918,
      3141,
      3186,
      3083,
      2802,
      1602,
      202,
      3560,
      5301,
      1476,
      5439,
      2184,
      1505,
      343,
      5709,
      6738,
      1804,
      653,
      7276,
      6038,
      1720,
      7557,
      4650,
      2163,
      1936,
      5912,
      7703,
      1760,
      404,
      3209,
      6755,
      5419,
      3692,
      1803,
      5278,
      1580,
      4907,
      6613,
      7730,
      5215,
      2744,
      4670,
      6926,
      6982,
      3277,
      1295,
      673,
      2572,
      5412,
      6321,
      4202,
      396,
      2955,
      3235,
      6266,
      1714,
      7361,
      4586,
      905,
      6759,
      2036,
      8000,
      7574,
      7486,
      6144,
      2714,
      4848,
      801,
      5515,
      3748,
      3054,
      7182,
      2623,
      5836,
      1925,
      3686,
      5093,
      3510,
      2996,
      4514,
      3002,
      2536,
      5606,
      1235,
      6699,
      1906,
      2491,
      3749,
      3242,
      7725,
      7966,
      4268,
      5490,
      832,
      2602,
      4960,
      5091,
      3690,
      4643,
      557,
      6469,
      3770,
      3040,
      373,
      166,
      7017,
      2468,
      1338,
      3213,
      1739,
      5037,
      5035,
      6746,
      5317,
      4712,
      1704,
      5938,
      3624,
      4846,
      2547,
      1559,
      357,
      5316,
      1410,
      1305,
      215,
      5838,
      5448,
      5977,
      4891,
      714,
      1812,
      3398,
      7042,
      3956,
      6514,
      2040,
      652,
      2315,
      7041,
      7812,
      4594,
      6226,
      6250,
      827,
      1451,
      3308,
      3137,
      3526,
      3276,
      3654,
      6494,
      3232,
      612,
      981,
      6620,
      381,
      171,
      7112,
      5280,
      7480,
      4442,
      2580,
      1993,
      2290,
      475,
      1967,
      462,
      3187,
      1961,
      7300,
      6979,
      4796,
      967,
      5524,
      4513,
      2609,
      2098,
      6988,
      4362,
      3171,
      7299,
      4580,
      6061,
      3178,
      4655,
      2227,
      2410,
      374,
      143,
      5936,
      5972,
      4725,
      163,
      986,
      5518,
      3692,
      6697,
      2515,
      4252,
      843,
      307,
      5554,
      3564,
      4746,
      2601,
      5494,
      5445,
      277,
      2693,
      1899,
      1667,
      3551,
      1884,
      4001,
      7824,
      7276,
      3621,
      5318,
      1669,
      2468,
      5347,
      6498,
      1445,
      3377,
      1303,
      3126,
      4682,
      3812,
      935,
      3462,
      4790,
      6453,
      5198,
      1706,
      5441,
      3432,
      3701,
      4126,
      3121,
      4637,
      5761,
      4748,
      6846,
      706,
      3014,
      7550,
      1611,
      7877,
      2661,
      1593,
      3893
    ],
    [
      5317,
      5259,
      6794,
      2033,
      3725,
      495,
      4425,
      6003,
      2498,
      5190,
      4512,
      3473,
      4998,
      1465,
      2461,
      703,
      2395,
      4372,
      5221,
      7158,
      6416,
      7493,
      5502,
      6069,
      1940,
      7202,
      617,
      4801,
      4765,
      7194,
      5578,
      5131,
      2825,
      90,
      2103,
      1385,
      6975,
      4941,
      4402,
      1669,
      1317,
      4800,
      1670,
      598,
      559,
      2165,
      7201,
      5573,
      3454,
      6980,
      6904,
      6026,
      787,
      7173,
      5442,
      571,
      6068,
      4876,
      671,
      6753,
      5458,
      421,
      6931,
      5545,
      7312,
      3413,
      63,
      1926,
      5996,
      1622,
      5228,
      2494,
      1575,
      5332,
      5321,
      5965,
      6734,
      1431,
      6211,
      5227,
      867,
      2652,
      1936,
      3726,
      5639,
      2934,
      1801,
      938,
      4806,
      1808,
      1682,
      1885,
      4594,
      3222,
      6494,
      1686,
      7388,
      7235,
      4442,
      3163,
      4760,
      3731,
      7092,
      6439,
      3418,
      7265,
      4275,
      5283,
      6996,
      6613,
      5268,
      5429,
      1833,
      3627,
      6820,
      2290,
      4473,
      4758,
      3099,
      5141,
      6708,
      6822,
      1757,
      6860,
      419,
      648,
      907,
      275,
      8008,
      3908,
      5542,
      5709,
      239,
      1575,
      7180,
      846,
      5793,
      4399,
      1266,
      1657,
      5618,
      4385,
      4478,
      5554,
      8098,
      851,
      6293,
      1047,
      1696,
      4294,
      6983,
      5396,
      2892,
      2865,
      4685,
      614,
      1236,
      8175,
      983,
      871,
      2216,
      6793,
      6020,
      1492,
      829,
      2900,
      7427,
      2679,
      5697,
      7304,
      2016,
      1241,
      4726,
      7053,
      7833,
      1907,
      246,
      3652,
      3500,
      883,
      1010,
      5155,
      5616,
      4412,
      2654,
      4433,
      6624,
      7206,
      2665,
      2759,
      6238,
      7268,
      6407,
      5910,
      3044,
      614,
      6096,
      7754,
      3684,
      5892,
      1708,
      6674,
      4702,
      2366,
      1901,
      2245,
      4338,
      8133,
      653,
      3154,
      4193,
      6688,
      3382,
      4656,
      3434,
      3156,
      5020,
      4873,
      7085,
      412,
      4828,
      1613,
      1581,
      3335,
      1996,
      3713,
      1075,
      4020,
      1656,
      2528,
      2284,
      323,
      5507,
      7379,
      507,
      1574,
      1904,
      1678,
      1962,
      2618,
      1234,
      6757,
      3523,
      2147,
      5057,
      2617,
      2539,
      2215,
      3540,
      6565,
      3171,
      6275,
      2830,
      5531,
      1596,
      5255
    ],
    [
      6695,
      1073,
      334,
      1596,
      1938,
      3474,
      2388,
      2056,
      1011,
      3813,
      1316,
      3057,
      1712,
      3991,
      7285,
      7305,
      3016,
      4361,
      6941,
      2680,
      5943,
      7552,
      5917,
      6228,
      937,
      559,
      231,
      2753,
      1419,
      7538,
      7498,
      5968,
      4644,
      5933,
      5645,
      4758,
      3802,
      3383,
      7208,
      3272,
      8134,
      1130,
      7635,
      3338,
      2572,
      2387,
      5435,
      6966,
      7070,
      5168,
      1890,
      6837,
      1887,
      2531,
      2067,
      5576,
      5768,
      2664,
      2026,
      5587,
      6960,
      6962,
      239,
      3508,
      1965,
      6300,
      2704,
      1417,
      1903,
      3008,
      5902,
      5552,
      2720,
      2913,
      1050,
      6670,
      2020,
      4165,
      1907,
      3689,
      5392,
      4038,
      2128,
      3129,
      621,
      3217,
      2687,
      2964,
      2756,
      5208,
      621,
      3214,
      6611,
      6580,
      1314,
      1835,
      5516,
      2926,
      523,
      4887,
      6573,
      3986,
      3206,
      2391,
      6424,
      2262,
      4292,
      2884,
      4516,
      4068,
      4273,
      3267,
      3387,
      2486,
      3141,
      1721,
      7956,
      7028,
      1429,
      1637,
      4588,
      2342,
      7063,
      2694,
      7525,
      7057,
      5031,
      2657,
      1932,
      5082,
      4350,
      721,
      4765,
      5457,
      3281,
      947,
      7957,
      5844,
      761,
      5651,
      6002,
      792,
      3222,
      5201,
      1140,
      7226,
      3900,
      1067,
      2482,
      4413,
      3189,
      6186,
      3706,
      851,
      469,
      6513,
      6603,
      438,
      7683,
      6637,
      5734,
      470,
      7811,
      1997,
      5386,
      201,
      2392,
      7810,
      3854,
      7180,
      2003,
      1097,
      2490,
      6158,
      5667,
      3204,
      7128,
      315,
      3296,
      6277,
      5588,
      6934,
      1517,
      6024,
      4452,
      4572,
      7253,
      6946,
      6068,
      4379,
      944,
      6443,
      31,
      4402,
      1607,
      4780,
      3644,
      5419,
      5555,
      434,
      2259,
      5093,
      5047,
      3776,
      7366,
      6341,
      3542,
      1628,
      7952,
      6279,
      4470,
      7253,
      2404,
      2314,
      1343,
      1340,
      2598,
      6579,
      6300,
      7701,
      603,
      5100,
      6392,
      3458,
      379,
      7488,
      171,
      3140,
      820,
      2337,
      1879,
      4643,
      2127,
      139,
      326,
      7689,
      5532,
      6026,
      2700,
      1375,
      343,
      5932,
      4996,
      4399,
      1940,
      6695,
      5269,
      5987,
      3433,
      5793,
      1204,
      4198,
      1459,
      2539,
      1489,
      5273
    ],
    [
      967,
      3309,
      4015,
      6680,
      1761,
      185,
      2040,
      3471,
      2444,
      7692,
      1433,
      5369,
      6505,
      735,
      1078,
      3349,
      5030,
      4749,
      6305,
      6256,
      3081,
      422,
      1687,
      2953,
      7447,
      645,
      571,
      4173,
      5144,
      5296,
      4544,
      3434,
      1367,
      506,
      3117,
      756,
      1946,
      612,
      3749,
      3856,
      2901,
      5532,
      4270,
      603,
      7396,
      1370,
      1490,
      655,
      401,
      6929,
      3543,
      4913,
      2398,
      3349,
      771,
      3472,
      535,
      4749,
      3670,
      6091,
      433,
      8067,
      4898,
      7112,
      966,
      6753,
      7073,
      186,
      1592,
      7844,
      1960,
      661,
      5552,
      7700,
      3930,
      6281,
      643,
      4562,
      6046,
      6678,
      795,
      3373,
      5540,
      7808,
      2383,
      4206,
      1518,
      4622,
      3022,
      114,
      7454,
      5346,
      2284,
      2281,
      3169,
      5415,
      6183,
      7302,
      1508,
      8077,
      7179,
      7872,
      793,
      7568,
      4954,
      1699,
      6380,
      5732,
      1428,
      4992,
      6351,
      5386,
      4843,
      3237,
      3142,
      5285,
      5295,
      349,
      2620,
      7821,
      6032,
      2860,
      4561,
      5158,
      4401,
      2628,
      3617,
      5611,
      214,
      4705,
      209,
      2268,
      4717,
      6556,
      409,
      798,
      936,
      7605,
      3749,
      3781,
      4110,
      4621,
      4881,
      6280,
      7013,
      3320,
      4282,
      4708,
      2889,
      971,
      4427,
      227,
      2154,
      2357,
      3588,
      4961,
      2947,
      7852,
      5935,
      695,
      797,
      5588,
      5485,
      5544,
      6552,
      588,
      6354,
      8048,
      4434,
      5940,
      4402,
      503,
      4000,
      2650,
      2981,
      2257,
      1117,
      1941,
      7957,
      820,
      7019,
      2446,
      5555,
      5766,
      4776,
      5684,
      7689,
      652,
      2682,
      2159,
      7281,
      7281,
      6184,
      7253,
      4359,
      1608,
      2405,
      1435,
      7553,
      8151,
      3832,
      5732,
      1718,
      1133,
      1807,
      6761,
      343,
      2331,
      2725,
      2478,
      748,
      1709,
      4990,
      6264,
      7373,
      7709,
      4916,
      1363,
      3602,
      4749,
      3221,
      1845,
      3223,
      955,
      3207,
      1402,
      2282,
      854,
      7499,
      944,
      5249,
      170,
      3374,
      1766,
      1904,
      4306,
      4126,
      4928,
      2777,
      6867,
      2464,
      3734,
      7303,
      3214,
      931,
      4978,
      3123,
      6336,
      5857,
      3069,
      1441,
      3600,
      1880,
      918,
      2741,
      4906
    ],
    [
      7967,
      8044,
      4002,
      1872,
      5316,
      4108,
      1987,
      822,
      526,
      7442,
      4486,
      8101,
      1998,
      4525,
      3436,
      7753,
      3266,
      4880,
      4915,
      2623,
      3182,
      839,
      3849,
      3473,
      5801,
      1428,
      3640,
      4835,
      2005,
      1657,
      5773,
      4533,
      1187,
      6430,
      5972,
      885,
      4919,
      441,
      7925,
      1315,
      6936,
      1201,
      2241,
      3359,
      5262,
      2773,
      4895,
      5398,
      2365,
      5542,
      5604,
      2319,
      4699,
      7646,
      6873,
      853,
      3966,
      447,
      1000,
      6417,
      3428,
      2864,
      2047,
      4229,
      5453,
      6205,
      5834,
      675,
      779,
      202,
      3759,
      1768,
      7823,
      6274,
      3726,
      816,
      8095,
      5665,
      1737,
      1458,
      6634,
      3483,
      1618,
      4304,
      4619,
      4451,
      2635,
      2292,
      469,
      5054,
      1707,
      405,
      3692,
      1932,
      4086,
      5537,
      374,
      6277,
      3387,
      2605,
      5033,
      7255,
      1766,
      6673,
      1167,
      2664,
      1224,
      813,
      574,
      250,
      1222,
      7780,
      1654,
      3596,
      3578,
      4813,
      5994,
      916,
      3954,
      6343,
      4322,
      5257,
      1420,
      1571,
      3240,
      7303,
      6069,
      1443,
      6852,
      7028,
      5127,
      3413,
      2014,
      2398,
      1371,
      3860,
      5387,
      7685,
      4423,
      1688,
      2729,
      357,
      1825,
      4467,
      1268,
      7755,
      3734,
      1536,
      2284,
      6310,
      367,
      206,
      4281,
      2001,
      5202,
      5255,
      2954,
      2721,
      5438,
      5606,
      6615,
      1328,
      3048,
      6933,
      1449,
      1685,
      2983,
      2711,
      7464,
      623,
      3302,
      6426,
      2650,
      7240,
      5086,
      5132,
      3180,
      732,
      6369,
      1960,
      3213,
      6560,
      7477,
      7134,
      3187,
      6214,
      8187,
      6742,
      7310,
      5032,
      2996,
      4921,
      3380,
      2321,
      4300,
      6358,
      938,
      5296,
      2744,
      1131,
      2660,
      1579,
      7062,
      4622,
      6826,
      5774,
      6701,
      1746,
      861,
      1495,
      7582,
      4530,
      3148,
      5188,
      7257,
      1231,
      5636,
      5962,
      5930,
      890,
      1287,
      4444,
      4933,
      6770,
      2526,
      4824,
      6518,
      3990,
      2291,
      4777,
      6797,
      6888,
      6228,
      7952,
      3638,
      3365,
      6397,
      5251,
      5643,
      6892,
      3668,
      4550,
      680,
      1298,
      435,
      1502,
      5298,
      841,
      3576,
      5165,
      8156,
      1340,
      371,
      4419,
      620,
      1651
    ],
    [
      2502,
      6840,
      6940,
      5521,
      5222,
      7620,
      3397,
      5584,
      2970,
      7968,
      3705,
      1463,
      4556,
      2583,
      5157,
      869,
      3493,
      2115,
      1467,
      3354,
      5652,
      4201,
      786,
      6213,
      7945,
      5928,
      6494,
      7245,
      1882,
      4266,
      3552,
      5588,
      4547,
      1488,
      5019,
      4655,
      5006,
      3928,
      6221,
      394,
      3747,
      5776,
      348,
      4312,
      7205,
      5672,
      5742,
      7444,
      1976,
      6024,
      1521,
      468,
      7392,
      4789,
      1917,
      3979,
      2977,
      621,
      3629,
      7821,
      407,
      5064,
      4464,
      6468,
      6549,
      7488,
      1192,
      2926,
      3785,
      4348,
      5995,
      3178,
      1333,
      6163,
      3209,
      4404,
      6597,
      5772,
      3292,
      920,
      745,
      5938,
      1053,
      1735,
      925,
      3718,
      382,
      5031,
      1254,
      2270,
      5671,
      1540,
      405,
      725,
      6499,
      4231,
      2686,
      1707,
      4508,
      4750,
      4389,
      2069,
      4649,
      5135,
      2705,
      956,
      6246,
      2733,
      5972,
      7425,
      7108,
      4945,
      430,
      6230,
      7080,
      2137,
      2161,
      6459,
      4508,
      3896,
      7589,
      6504,
      794,
      3541,
      709,
      5523,
      1016,
      2346,
      443,
      4131,
      4069,
      6987,
      3384,
      7757,
      4645,
      6279,
      7362,
      1827,
      6176,
      6551,
      6241,
      4483,
      725,
      649,
      2094,
      6970,
      6167,
      5701,
      3267,
      7512,
      3301,
      6261,
      6019,
      6251,
      2913,
      5026,
      3914,
      596,
      2549,
      5033,
      6507,
      1430,
      4886,
      5418,
      3544,
      756,
      1422,
      2890,
      1513,
      649,
      1210,
      7304,
      3591,
      5067,
      2956,
      3502,
      5556,
      8034,
      4674,
      5259,
      6863,
      1668,
      313,
      976,
      2497,
      2363,
      3763,
      1747,
      6403,
      4627,
      4535,
      2968,
      4806,
      3212,
      1342,
      5710,
      6924,
      1176,
      2927,
      2491,
      4529,
      5389,
      7700,
      1615,
      1833,
      3178,
      5221,
      4997,
      3407,
      2741,
      217,
      2692,
      4478,
      6416,
      5526,
      1683,
      3411,
      2157,
      5486,
      933,
      6470,
      1862,
      3663,
      7105,
      3663,
      1709,
      7269,
      665,
      7235,
      6694,
      6245,
      4666,
      5229,
      2902,
      3257,
      6236,
      6060,
      1101,
      5063,
      6390,
      2134,
      5305,
      6848,
      1137,
      7980,
      203,
      5052,
      3008,
      3259,
      2109,
      6026,
      4143,
      7533,
      5382,
      4565,
      4374
    ],
    [
      31,
      918,
      2805,
      1724,
      2520,
      7373,
      2780,
      6275,
      4841,
      307,
      5477,
      3627,
      6048,
      2024,
      6336,
      3433,
      6674,
      5769,
      90,
      75,
      3496,
      2108,
      4467,
      3973,
      6600,
      3476,
      7017,
      2386,
      6883,
      2513,
      6576,
      1270,
      5318,
      1051,
      7038,
      850,
      6372,
      5571,
      3020,
      3966,
      1996,
      1061,
      680,
      5696,
      1470,
      2619,
      1129,
      2069,
      1682,
      3107,
      6990,
      7321,
      1094,
      5824,
      316,
      3664,
      4717,
      1099,
      6882,
      2650,
      6446,
      7248,
      4916,
      1992,
      2017,
      4040,
      407,
      5868,
      6434,
      3411,
      4521,
      1740,
      2366,
      4622,
      5710,
      5529,
      3609,
      253,
      489,
      1346,
      7280,
      5669,
      1823,
      4554,
      6217,
      4407,
      4890,
      4999,
      5820,
      6949,
      2230,
      2956,
      5308,
      4756,
      3272,
      5891,
      5997,
      3175,
      1993,
      442,
      7256,
      1385,
      1374,
      8111,
      1547,
      7687,
      4939,
      5469,
      2987,
      3024,
      2874,
      275,
      1808,
      6080,
      1233,
      2676,
      2772,
      3928,
      1599,
      3256,
      3373,
      1718,
      2572,
      4734,
      601,
      7564,
      3623,
      6765,
      5586,
      3138,
      5706,
      2340,
      3682,
      7826,
      1960,
      3884,
      4308,
      3077,
      1293,
      1062,
      1966,
      6219,
      5834,
      2147,
      427,
      346,
      5647,
      2625,
      4448,
      7363,
      285,
      1636,
      1116,
      2674,
      7073,
      2851,
      1347,
      4903,
      7311,
      4994,
      479,
      4556,
      465,
      5356,
      7874,
      1933,
      4333,
      7723,
      4186,
      610,
      3094,
      2659,
      5012,
      1823,
      2020,
      950,
      2180,
      5505,
      2849,
      2436,
      6080,
      6934,
      5331,
      5022,
      3451,
      5338,
      1402,
      4259,
      4340,
      1594,
      3497,
      954,
      2996,
      165,
      1578,
      2226,
      3040,
      5209,
      701,
      7878,
      1616,
      4772,
      4187,
      1326,
      6434,
      5425,
      7861,
      1005,
      1077,
      3308,
      5699,
      6309,
      3922,
      809,
      7809,
      5387,
      5657,
      2556,
      3984,
      4891,
      7430,
      2678,
      677,
      643,
      4734,
      2109,
      3409,
      6258,
      2794,
      7445,
      7722,
      5898,
      916,
      2668,
      7642,
      3448,
      1897,
      7701,
      2516,
      702,
      5693,
      4925,
      4572,
      7736,
      1466,
      1898,
      4876,
      3448,
      6995,
      1089,
      1239,
      1914,
      4945,
      3103,
      311,
      4529
    ],
    [
      5221,
      5188,
      2063,
      2662,
      5051,
      8055,
      1326,
      1311,
      2136,
      4520,
      6423,
      3190,
      1445,
      6555,
      3120,
      1105,
      7570,
      140,
      879,
      2203,
      957,
      1926,
      4451,
      7305,
      6053,
      2450,
      2684,
      6048,
      716,
      5618,
      2514,
      8132,
      1744,
      3735,
      7692,
      4905,
      2785,
      1557,
      1743,
      4345,
      7268,
      5320,
      4219,
      4411,
      4450,
      674,
      3517,
      906,
      2861,
      7124,
      3777,
      1244,
      3913,
      1500,
      1415,
      6628,
      6034,
      5198,
      5417,
      5349,
      2944,
      5542,
      4374,
      1252,
      7246,
      7255,
      4308,
      5398,
      1022,
      5127,
      5276,
      4877,
      625,
      6498,
      7167,
      4585,
      5703,
      5100,
      2963,
      4505,
      1937,
      3479,
      6024,
      371,
      2698,
      2701,
      4469,
      5987,
      7097,
      5356,
      6000,
      1563,
      6545,
      6159,
      2766,
      491,
      1252,
      7064,
      2423,
      6088,
      786,
      7438,
      7764,
      3284,
      809,
      3602,
      5550,
      980,
      4016,
      7045,
      5394,
      1992,
      2466,
      978,
      283,
      153,
      115,
      4215,
      6659,
      4814,
      2223,
      299,
      6673,
      6835,
      7327,
      8005,
      6214,
      5316,
      7440,
      686,
      2961,
      854,
      5227,
      5891,
      6784,
      3341,
      6035,
      3192,
      6606,
      4524,
      3194,
      5684,
      5509,
      391,
      4894,
      1944,
      5394,
      7604,
      3134,
      2714,
      2938,
      677,
      4970,
      7860,
      7614,
      2351,
      3986,
      111,
      5282,
      3979,
      2669,
      590,
      4627,
      3505,
      6341,
      378,
      7334,
      3346,
      2832,
      1764,
      427,
      2366,
      5703,
      922,
      435,
      4784,
      2352,
      5151,
      6348,
      7050,
      5572,
      5577,
      673,
      1199,
      1842,
      1815,
      1914,
      4116,
      720,
      2123,
      2321,
      1595,
      2467,
      6314,
      7340,
      1144,
      8104,
      4596,
      2390,
      7749,
      4269,
      6236,
      6614,
      6990,
      7128,
      2029,
      1357,
      119,
      7349,
      3868,
      5898,
      459,
      1402,
      3555,
      1741,
      5953,
      2658,
      6498,
      7017,
      7081,
      2268,
      2422,
      5554,
      4219,
      2135,
      2,
      5718,
      4207,
      5425,
      2264,
      3525,
      208,
      1771,
      3752,
      2922,
      4211,
      3908,
      6880,
      6406,
      892,
      2661,
      1237,
      2263,
      5505,
      7346,
      1982,
      5792,
      7244,
      923,
      3337,
      3378,
      1890,
      2663,
      3905,
      3568,
      3690
    ]
  ]
}

{
  "name": "qaoa_p2_probabilities",
  "dtype": "float64",
  "shape": [
    8192
  ],
  "data": [
    1.5373598393087265e-05,
    3.9536806492479606e-05,
    2.634835725191306e-05,
    1.705034501471918e-05,
    2.1785507108703295e-05,
    1.244707271631234e-05,
    1.019203737552861e-05,
    3.4628101008882118e-06,
    3.514969207966684e-05,
    1.7712679251249088e-05,
    1.8124742291725883e-05,
    1.367065718256157e-06,
    1.3269099036384761e-05,
    1.5680583183329151e-06,
    4.866226376922796e-06,
    4.153482991651989e-05,
    1.7171859403179255e-05,
    9.498973739772404e-06,
    1.2902801415803838e-05,
    3.6316333513903882e-06,
    9.066821316404458e-06,
    1.0366183419705187e-05,
    7.446059759508655e-06,
    4.980495593331131e-05,
    1.0616436927453261e-05,
    8.828613676389423e-06,
    1.876955562522313e-06,
    5.506949390079494e-05,
    1.0919392123237616e-05,
    3.595245171971515e-05,
    3.292614097657143e-05,
    9.022753414625845e-05,
    5.780647087255329e-05,
    4.921272964078735e-05,
    1.531057878789294e-05,
    8.628358678821266e-06,
    1.5310011451520925e-05,
    3.86921381276402e-06,
    6.28329432477806e-06,
    5.8027804482597636e-05,
    3.672801515959785e-05,
    3.0356031230653994e-05,
    8.562430474673685e-07,
    0.000125596186165951,
    3.992352447420369e-07,
    7.285611484985503e-05,
    3.403532703910342e-05,
    0.00017476570037444966,
    1.0866253443846909e-05,
    5.694703818261343e-06,
    1.8120372409891998e-06,
    8.342896000792954e-05,
    9.118415916716996e-06,
    5.390355477251377e-05,
    3.6611071463078726e-05,
    0.0001193242091603331,
    4.384944117602132e-06,
    6.672349497064675e-05,
    4.8715461763859636e-05,
    0.000238659169691522,
    3.649356565950194e-05,
    0.00012395227837637247,
    8.967218625514312e-05,
    0.00011573452394505297,
    5.823720280002e-05,
    1.7975002703389626e-05,
    1.7657760056113452e-05,
    4.701486066688088e-06,
    2.2238276409703546e-05,
    3.6651793922042737e-06,
    2.088190937077061e-06,
    6.81663152059222e-05,
    2.1508972594677333e-05,
    2.219893702664209e-06,
    9.108587546624701e-07,
    6.822494258802424e-05,
    5.824638455535221e-07,
    5.0095782934654474e-05,
    4.4687283004600875e-05,
    0.00014680882095488012,
    9.197178290934688e-06,
    1.2069234184147647e-05,
    2.8863185990463717e-06,
    7.475572279913727e-05,
    6.5516432904444824e-06,
    5.3330834211762066e-05,
    5.9928456558723004e-05,
    0.00013519045942247387,
    8.97690161059298e-06,
    4.330998575824304e-05,
    4.932706712920221e-05,
    0.00013777722578054845,
    4.071001882909124e-05,
    8.904872160187354e-05,
    0.0001126388308436058,
    9.018996648397526e-05,
    4.098113708329128e-05,
    2.325472508352465e-05,
    2.248199820346075e-06,
    0.00010962555773551716,
    2.6024519564585488e-06,
    8.633597517962564e-05,
    4.880081566018886e-05,
    0.00017714003733287364,
    7.561732775213766e-06,
    0.00012273471639951696,
    6.296391199454111e-05,
    0.0002976130936733561,
    5.375630407908948e-05,
    0.0001985559108322166,
    0.00013194426694973098,
    0.00019803381567973943,
    4.79834399562406e-06,
    6.97511928193537e-05,
    6.0012314282895824e-05,
    0.00020398821709612054,
    5.148905684301498e-05,
    0.00012641008727310482,
    0.00011730457623939953,
    0.00012172464658214655,
    4.8003603760822195e-05,
    0.00014447679990856288,
    0.0001551996263480269,
    0.0001890588133557627,
    0.00010970710632945452,
    9.929273913923727e-05,
    0.0001066479108712513,
    7.871895985032981e-05,
    4.3814817489700924e-05,
    2.186108452056765e-05,
    1.1887878583344305e-05,
    5.6235090844458595e-06,
    1.452128523188238e-05,
    7.344435541044509e-06,
    5.5744998124611e-06,
    6.687983523139683e-05,
    1.9047072028492846e-05,
    5.725150082990277e-06,
    2.2220330992661204e-06,
    7.162364355595022e-05,
    1.262815488519111e-06,
    6.657812842270154e-05,
    3.730601900016501e-05,
    0.00013848693333447408,
    1.00681625135855e-05,
    9.65023176816562e-06,
    3.289434489792227e-06,
    8.405161617917222e-05,
    5.967345244138884e-06,
    7.062599400355814e-05,
    5.2685147897104165e-05,
    0.00013127457314801713,
    5.7259975683361336e-06,
    5.609589398199608e-05,
    5.0934803768565665e-05,
    0.00014458996519845226,
    4.520120262034835e-05,
    0.00011392155877406254,
    8.955704477526823e-05,
    7.44861858848041e-05,
    2.1330793138064822e-05,
    2.7926064174077168e-05,
    3.4721037142617182e-06,
    0.00010130737710295727,
    1.6634280999542214e-06,
    0.00010668724065583471,
    3.782566075807882e-05,
    0.00016379538445378028,
    5.114710000350766e-06,
    0.0001552612845153223,
    5.3127554714467755e-05,
    0.0002754090558303858,
    5.069166661109207e-05,
    0.0002553228462202704,
    0.0001003162017570883,
    0.0001765482577343928,
    5.231384909231342e-06,
    8.62674320471335e-05,
    5.507535409186934e-05,
    0.00020875430654815374,
    5.188700608263112e-05,
    0.00016229122596006363,
    9.568014801032162e-05,
    0.00011130217312850865,
    5.292536604117471e-05,
    0.00019215719268344996,
    0.00014396211552560807,
    0.00018558536372113388,
    0.0001235155120473734,
    0.00014053757394126367,
    7.497888462349886e-05,
    5.967073287963781e-05,
    1.8980661107514132e-05,
    1.0418843799979119e-05,
    4.174549685865103e-06,
    8.882961708055084e-05,
    6.317356874639632e-06,
    0.00010251924211128997,
    6.339314999804554e-05,
    0.00019304945381084439,
    2.6751958967901193e-06,
    7.443229790677991e-05,
    5.4953618964593366e-05,
    0.00016409481979496587,
    6.149198529874904e-05,
    0.0001763095876666371,
    0.0001277969022910255,
    0.00013935781622420528,
    8.622601310123667e-06,
    6.818414154081577e-05,
    7.0399879957927e-05,
    0.00015366090544306332,
    7.327254831048463e-05,
    0.00013560572820355216,
    0.00015870135126155782,
    0.00011636093895155484,
    5.031497767770128e-05,
    0.00010718502595767036,
    0.00012102189432359514,
    7.489394772016023e-05,
    0.0001291602670363979,
    7.634757252178205e-05,
    0.00010177411544408473,
    3.8848832085453e-05,
    6.621234915424394e-06,
    0.00013086969898334683,
    5.856128100903249e-05,
    0.0002210117424923617,
    7.2109257492055e-05,
    0.00023727650713511642,
    0.00012313692364850754,
    0.00015951155066411547,
    7.38586629777778e-05,
    0.0002671538609957194,
    0.00014403742280387046,
    0.00022786548107816429,
    0.00016461759245549893,
    0.00023714933603972142,
    0.00010683424328607255,
    0.00011041635177563424,
    6.163028482331931e-05,
    0.00014628944497962362,
    0.00014444946581887455,
    0.00012851889972601298,
    0.00014048820692187216,
    0.00010858492658766628,
    0.00010084819674191183,
    6.111335669683554e-05,
    0.0001299492046353212,
    9.864842357358431e-05,
    0.00010588107923476905,
    4.808858604709214e-05,
    0.00011705376579534011,
    5.425839318243464e-05,
    5.5972687871411746e-05,
    5.0613553234798825e-06,
    2.2154883984312113e-05,
    1.4142422449424144e-05,
    1.3303444031120752e-05,
    6.030573290423561e-07,
    8.907433960605372e-06,
    6.3611067428695e-06,
    1.1449719636736832e-05,
    3.1239203190459416e-05,
    1.8470917538042483e-05,
    1.800001672384956e-07,
    8.424383464929565e-07,
    4.67587361451151e-05,
    6.8937329645582475e-06,
    2.7870884922193444e-05,
    2.2519508909856428e-05,
    8.576853384178787e-05,
    2.2177714071664874e-05,
    3.4241015983493457e-06,
    7.784941802445935e-06,
    0.00012438340340602597,
    3.85447715323675e-06,
    5.2754130977595675e-05,
    6.834545938272038e-05,
    0.0001743322987963002,
    5.197045497492301e-07,
    6.108639932320607e-05,
    9.834620746398059e-05,
    0.00029896068964227663,
    3.896403402024294e-05,
    0.00011282158445037374,
    0.00015747185462845656,
    0.00018930105466353204,
    1.969491618183372e-05,
    7.153198017834795e-06,
    1.9134109897694974e-06,
    6.730158609784106e-05,
    6.195725238130214e-06,
    4.45006655722259e-05,
    2.320208607934966e-05,
    0.00010040477544490095,
    1.888864095980474e-06,
    0.00010134577618704605,
    4.0562501382435904e-05,
    0.0003227613829707265,
    2.770394032967639e-05,
    0.00013654428109765513,
    7.803805215113137e-05,
    0.00014951184935619493,
    6.211333508799152e-06,
    0.00013612659359756447,
    0.00011115505907962004,
    0.0004198993802419128,
    5.27645584378364e-05,
    0.0001888909775830381,
    0.00015535511937958402,
    0.00024200069056909315,
    8.734226587155351e-05,
    0.00035204302757981307,
    0.0003670980872390232,
    0.0006320617548995159,
    0.00014023213716941546,
    0.00021362924852289097,
    0.00020112955000756952,
    0.0002295134625756302,
    1.4154503806255797e-05,
    2.094653800061345e-06,
    1.391411756403226e-06,
    5.443603783063846e-05,
    4.526259002055371e-06,
    3.9016503880744536e-05,
    3.161412893748971e-05,
    0.00010307976712020133,
    8.654496039336076e-07,
    3.888257318120534e-05,
    3.6922825678443135e-05,
    0.00017414669764449165,
    2.83182901390673e-05,
    8.36634218599236e-05,
    8.75580295207774e-05,
    0.0001061025607218368,
    2.4781351079421704e-06,
    6.98375579399084e-05,
    0.00012171017515929442,
    0.00028825985675724194,
    6.02758364331092e-05,
    0.00014040026920906124,
    0.00023432660498136053,
    0.00023343666535140058,
    5.41027403076332e-05,
    0.00014303060891386434,
    0.00030060515877916306,
    0.00030906458678681077,
    0.00012735827905955224,
    0.00011538698289944523,
    0.0002705865375009365,
    0.0001730690074452985,
    6.268840491811991e-07,
    7.612140650509464e-05,
    3.728607108489636e-05,
    0.00020562335058660791,
    3.516623073556673e-05,
    0.0001242515427644154,
    7.942255603156187e-05,
    0.0001086011383646028,
    4.701896838926006e-05,
    0.00022123540192072881,
    0.0001755036405127839,
    0.0003835621674270788,
    9.554632972902683e-05,
    0.00013654223886297437,
    0.00010431395639898338,
    0.00012958096025326817,
    8.669699844832616e-05,
    0.00025690953626945814,
    0.0003136029129298456,
    0.00040291954617137035,
    0.00016070755719219527,
    0.00018954198799791568,
    0.00022209869066679513,
    0.00019819455322723622,
    0.00021703253648112212,
    0.0002554418328521039,
    0.000460720786213892,
    0.00038227940494848747,
    0.00016514055827869945,
    0.00014039467228403322,
    0.00021206106088575964,
    8.293738495084615e-05,
    1.7397117078354095e-05,
    2.1631182399660985e-06,
    3.257533715139712e-06,
    5.555558505651638e-05,
    3.917666448334812e-06,
    4.967233899188929e-05,
    2.4975102941800745e-05,
    0.00010120757630856914,
    1.2688290181868761e-08,
    5.7543591610653846e-05,
    3.407436783701528e-05,
    0.0001824469010955394,
    2.9507227580302338e-05,
    0.0001202396857296254,
    7.228270521296093e-05,
    0.0001187864808782232,
    9.95640718412674e-06,
    0.0001231918910603673,
    0.000125563025851892,
    0.0003242333082677423,
    7.95118781836326e-05,
    0.00021289679629656784,
    0.00019888428489557558,
    0.0002474305546968153,
    8.649580718405381e-05,
    0.0002430152317868099,
    0.0002930729078946251,
    0.0003389395905437394,
    0.0001612320432677058,
    0.00018264940135386695,
    0.00021684385534473152,
    0.0001818412423322968,
    2.6478667402107093e-07,
    0.00010509372191479074,
    3.077924837974072e-05,
    0.0001949199876510143,
    3.193858635948375e-05,
    0.00016702824831808555,
    6.396526553102634e-05,
    0.0001100687061406289,
    5.394140125227175e-05,
    0.00032226617873751544,
    0.00015298830307264552,
    0.0003685657736124316,
    0.00010428393479057529,
    0.00021071592291232368,
    8.6502095209946e-05,
    0.00013561338938725001,
    0.00011825989571684543,
    0.0003901101556450521,
    0.0002842503095795801,
    0.0004231457964618031,
    0.00018189882497306555,
    0.0002803299728566359,
    0.00017752135313176004,
    0.0002012412246997915,
    0.0003087970442363454,
    0.0004287985548792162,
    0.00039399810604318547,
    0.0003795679432849573,
    0.0002001842305297917,
    0.00020809008331633167,
    0.0001595512799808819,
    8.168749170106385e-05,
    1.6392019095766318e-06,
    6.23186300044292e-05,
    4.09262980889994e-05,
    0.0001630805796922656,
    4.284952259742336e-05,
    0.00013897180446231184,
    9.286788587459385e-05,
    0.00011706224429056382,
    4.12585865925055e-05,
    0.00014107364005917767,
    0.00013338901585785152,
    0.00019227079409468145,
    0.00010160594817725522,
    0.00011550293503481133,
    0.00010252605263547175,
    0.00010705817979989014,
    9.386872539221888e-05,
    0.00018508489489961087,
    0.0002846562495830073,
    0.0002423214344339959,
    0.00021558159783093372,
    0.00018902354107358174,
    0.00030090344100560285,
    0.00018253070837300842,
    0.00018787946163713835,
    0.00013493331289788886,
    0.0003059344509616125,
    0.00015234967297562046,
    0.00019783399275307746,
    0.00010793231387353789,
    0.0002289640339037281,
    4.876076378503304e-05,
    4.999960556775273e-05,
    0.0002112508318143917,
    0.00010950196645232772,
    0.0001883167377559201,
    0.00010486151037260823,
    0.00015302756309974,
    7.181074490035016e-05,
    8.65425893071194e-05,
    0.00015197545443880228,
    0.0002535841189958966,
    0.00018593044744950375,
    0.00022614872090945463,
    0.00011246782434893387,
    0.00012700863880452278,
    8.81204839293574e-05,
    3.4950556874218426e-05,
    0.00024159793859074112,
    0.00021621811766664038,
    0.00027195813815315795,
    0.0001809233946701013,
    0.0001975588544077973,
    0.00015550308852033175,
    0.0001551489174163079,
    5.042201022194064e-05,
    0.0002373125484954152,
    0.00012730575552745554,
    0.000247083694011904,
    5.304292325459757e-05,
    0.00015267564993608773,
    3.46235977399398e-05,
    5.714848234511013e-05,
    6.67083092243839e-06,
    3.220266523907945e-05,
    1.1596288840827045e-05,
    1.1869291079148218e-05,
    3.306039364698297e-06,
    1.957160041280773e-05,
    5.05683576476154e-06,
    3.328421163448971e-06,
    7.005580725120905e-05,
    2.3971343916440443e-05,
    3.530351059825667e-06,
    1.0336625101822996e-06,
    8.155620575337367e-05,
    3.150283279679054e-06,
    8.014974005226335e-05,
    6.103810474473613e-05,
    0.0002149732812405189,
    8.296541374007264e-06,
    1.2982084086580433e-05,
    4.3512429058507125e-06,
    6.691108031329857e-05,
    7.750925953887125e-06,
    6.0902864524370434e-05,
    5.844558984542149e-05,
    0.00014234104405560195,
    8.25599515726555e-06,
    4.812053932098965e-05,
    5.774358424440703e-05,
    0.0001706150078891792,
    5.345644048415148e-05,
    0.00012061702352850925,
    0.0001446032102555638,
    0.00014049378093500915,
    1.9669613990526916e-05,
    1.3790731537689943e-05,
    2.7339640177005867e-06,
    9.284640757303504e-05,
    2.7072620761228528e-06,
    0.0001104593719618975,
    4.7741717595394614e-05,
    0.0002053889742996603,
    1.2571226103566912e-05,
    0.00017482143300175752,
    7.870506071881814e-05,
    0.00037872314581162447,
    9.51900031763928e-05,
    0.00035027976008932373,
    0.00019730994243129517,
    0.0003337042401191654,
    9.338006920411419e-06,
    6.752644361053512e-05,
    4.926773878614197e-05,
    0.00018882577229926436,
    5.5385664661710665e-05,
    0.00015386247790606728,
    0.00011545647148948251,
    0.00014698164661108252,
    5.852543711659776e-05,
    0.00020137793038348998,
    0.0001933384289724373,
    0.0002730624963418586,
    0.00015710426173274074,
    0.00017560846473276177,
    0.00015818848524886366,
    0.00012642370683725137,
    2.8085546393135472e-05,
    7.014276555768653e-06,
    3.8140345426500317e-06,
    8.836352153541958e-05,
    2.0142533266135264e-05,
    0.00011738333087664898,
    9.727801245213715e-05,
    0.00024826936293725796,
    9.397411938305398e-06,
    8.731299295320826e-05,
    8.481833399952246e-05,
    0.0002406683991642271,
    0.00011973766481096402,
    0.00025248190846217206,
    0.0002615886573442065,
    0.00029068569701667354,
    9.71092258684044e-06,
    5.7738572597556414e-05,
    6.974862307635646e-05,
    0.00015205635515160858,
    8.674945321335627e-05,
    0.00014891297503702563,
    0.0002047894436362649,
    0.0001658289796441413,
    5.508996660894862e-05,
    0.000115293791353083,
    0.00016482614164870112,
    0.00012679818477020794,
    0.00016260966527846478,
    0.00010742200083732878,
    0.0002027829267545053,
    9.235724932079319e-05,
    1.1970619546977169e-05,
    0.00013277480607570583,
    7.133919951141904e-05,
    0.000253070577088826,
    0.00011952480573362379,
    0.0003053002777142544,
    0.00019790548817362529,
    0.00025597872757502873,
    0.0001318410349836548,
    0.0003816916818416931,
    0.00026103225635560945,
    0.0003953202929021806,
    0.0003271868019824893,
    0.00039003619230231076,
    0.00028321089479413315,
    0.0002596026362759788,
    6.22607823287954e-05,
    0.00014321757515033256,
    0.00014946011712835454,
    0.0001440684542350604,
    0.00016829546336844908,
    0.00013536098872611008,
    0.00015325621750058622,
    0.00010098066484153053,
    0.0001640801087846764,
    0.0001381824356273994,
    0.00018608308221153738,
    0.00010292138057342691,
    0.0001704727415075602,
    8.525142081967377e-05,
    0.00012741184310616956,
    1.768685150638881e-05,
    1.1860450155324793e-05,
    7.708942843538547e-06,
    5.159422296913756e-06,
    7.725431711562677e-05,
    6.700017689195738e-06,
    0.00012276894745570738,
    5.9831986316060763e-05,
    0.00019359337894137702,
    3.4257855683474335e-06,
    9.307067829906508e-05,
    6.104649863963207e-05,
    0.00020560293875798204,
    8.970429193722608e-05,
    0.00027523738863200847,
    0.00016799185902752146,
    0.00022635646683102803,
    1.0014617048971432e-05,
    6.637105508595312e-05,
    6.209079973129334e-05,
    0.00015330601374867177,
    7.927556269766075e-05,
    0.00016961099269706143,
    0.000145902085647022,
    0.00012931689507471878,
    5.580715861962542e-05,
    0.0001362618174893116,
    0.00014121476122466272,
    0.00011443353518968474,
    0.0001597319172172587,
    0.00012678441782671958,
    0.00012864019149179214,
    6.343300227543153e-05,
    3.7334442157863207e-06,
    0.0001245456117381301,
    4.8258493407332466e-05,
    0.00020507922706882185,
    7.922908201761532e-05,
    0.00030812346014103,
    0.00012441129185404034,
    0.00018607427528699962,
    9.561398751891107e-05,
    0.00038666252133284735,
    0.00017826958122841072,
    0.00031126707253560415,
    0.0002661793384314369,
    0.0004370922719016302,
    0.00017348246607698994,
    0.0001917575405427768,
    5.6172709779104974e-05,
    0.00016029181643793176,
    0.00012174357985967966,
    0.00013893698453835775,
    0.00014929783085290409,
    0.00015575583060749648,
    0.00010101581887544387,
    7.338031454194682e-05,
    0.00016478536981253395,
    0.00017787937597215254,
    0.00013875824637915417,
    8.567476937108905e-05,
    0.00017670720382096178,
    0.00010649880072120902,
    7.56717437801689e-05,
    1.018103770895813e-05,
    6.905151843579454e-06,
    9.581589414902621e-05,
    6.985172575750538e-05,
    0.0001875432320393988,
    0.0001401718001885402,
    0.00030251615495416133,
    0.0002143023028102398,
    0.00022462941274098216,
    8.872475022462094e-05,
    0.00021549890865112093,
    0.00017371835657176274,
    0.00017772418208816492,
    0.00029405490281179074,
    0.00029038298025529404,
    0.00022427396234735132,
    0.0001606309331859499,
    6.54401712680345e-05,
    0.00011411888652850343,
    0.00014290617505680246,
    8.280863967532989e-05,
    0.00022433256429570957,
    0.00013388447057910313,
    0.00019825715145124247,
    6.983371063232891e-05,
    0.00013411952524658164,
    7.406889234336711e-05,
    0.00010018131358193762,
    2.6234340182534533e-05,
    0.00017955285057202295,
    5.023223403977881e-05,
    9.824353402941132e-05,
    4.3295960681604625e-06,
    8.56989559839488e-05,
    0.0002576808814231092,
    0.00013928687865052077,
    0.00017450864297258734,
    0.00025367889173998374,
    0.00030086363324652977,
    0.00015145898662382077,
    0.0001247418346695269,
    0.00025370490839533437,
    0.0003307943436857794,
    0.00017236746776457337,
    0.00015048950190114596,
    0.00031718367223599714,
    0.0002505780457171768,
    0.00013358655964502023,
    4.2068026558657066e-05,
    0.00013418937692017457,
    8.32837555350006e-05,
    9.29148639299635e-05,
    3.569764675029342e-05,
    0.00016139189091393997,
    6.754720561371507e-05,
    7.492361750405676e-05,
    3.987845443783864e-06,
    0.00012742484871197657,
    3.449172522146819e-05,
    5.486413268866591e-05,
    6.8702960386048005e-06,
    0.00010555255248353293,
    2.4292231682158047e-06,
    8.670251196730705e-06,
    7.63785202827391e-06,
    1.2269569388735897e-05,
    2.455927062726659e-06,
    3.8518181864747194e-06,
    4.7604637334404883e-05,
    3.5373921665278967e-06,
    4.4061674938759806e-05,
    2.931843100200596e-05,
    0.00010508990491303532,
    9.710649940691998e-08,
    5.019988758700262e-05,
    4.3876366403245565e-05,
    0.00020842054562582367,
    3.982000456731931e-05,
    0.00013493499205384168,
    0.0001150694444006241,
    0.00017492303550089506,
    3.1879558261458606e-06,
    7.264925881332616e-05,
    0.00010879949490381963,
    0.00027653918417302364,
    6.655791406798133e-05,
    0.00016594264893798178,
    0.00021479879767729332,
    0.0002472744845834838,
    7.360685680867238e-05,
    0.00020810917601066069,
    0.0003553491495808239,
    0.00041472101918310086,
    0.00018410410117239225,
    0.00020546852414446114,
    0.00034748414263647377,
    0.0002702008735495184,
    1.1704632315256176e-06,
    7.729363365742896e-05,
    3.1299993340860684e-05,
    0.00020353208035635883,
    3.7557012423512536e-05,
    0.00017019409516462963,
    8.250682494823841e-05,
    0.00015119062130851703,
    6.520684366772524e-05,
    0.00033090494697888835,
    0.00020447941797101149,
    0.00048506351005804066,
    0.00015783467658622268,
    0.00027699345289712693,
    0.00016056924398466263,
    0.00022692874000217693,
    8.198096018681664e-05,
    0.000293380702255528,
    0.0002802911386568055,
    0.0004495908737248086,
    0.000173025738925823,
    0.0002634003530724387,
    0.00023609505208620524,
    0.00025552019448601656,
    0.0003149669447286734,
    0.00047249299867499684,
    0.0005638788668813307,
    0.0005685641392433938,
    0.000279202694954081,
    0.00027773738960943175,
    0.0003015620719814739,
    0.00017212968311892753,
    1.632865341806356e-06,
    5.342452509187424e-05,
    4.7600225843510687e-05,
    0.00017599061417259278,
    5.785956425783271e-05,
    0.00014505043783810445,
    0.0001281816152460075,
    0.00014776812480563558,
    5.356918786293824e-05,
    0.00015546687642517597,
    0.0002052524741351665,
    0.0002760675223576563,
    0.0001600865167183838,
    0.00015760690518428887,
    0.00020025275204283796,
    0.00017705355678913765,
    7.620124145287229e-05,
    0.0001559024903696738,
    0.0002977478348051283,
    0.0002604457893569341,
    0.00022040830111406753,
    0.0001880590138661922,
    0.0003643987430193964,
    0.00021656315797484893,
    0.00020000348187270133,
    0.00016264949250155528,
    0.00044271839101956063,
    0.00023707857349375538,
    0.00025201864821278126,
    0.000143996897511373,
    0.0003800867747651242,
    0.00010335833028367549,
    5.520241985014027e-05,
    0.0002092702559950332,
    0.0001372049579455985,
    0.0002448937944003054,
    0.00014640564148671748,
    0.0001924562017713553,
    0.00012030123200145739,
    0.00013671497677621646,
    0.00021418648423242017,
    0.00032621596624871855,
    0.0003069748740917292,
    0.00035412009257844993,
    0.00020095195108261804,
    0.00019588768318498835,
    0.00017273603765210156,
    8.366792892979631e-05,
    0.0002219296064496542,
    0.00022307538323752382,
    0.0003260494658906845,
    0.00023597123320075682,
    0.00022968526106768413,
    0.00017909638362264364,
    0.0002280598105385023,
    8.577720553900337e-05,
    0.0003066917095443542,
    0.00019053295188353219,
    0.00041003126971279435,
    0.00012903165848400058,
    0.00022544449419389847,
    6.388571126413548e-05,
    0.0001432906461673117,
    3.998397809185077e-05,
    2.1150698235591224e-06,
    6.113853445019666e-05,
    3.47232138300325e-05,
    0.00014624960530069047,
    4.56776267570551e-05,
    0.00016631945208870976,
    8.503056949699335e-05,
    0.0001224548916919745,
    5.0877683561069673e-05,
    0.00019143529631789798,
    0.00015297150827287383,
    0.00024345846722444435,
    0.00015164674190041062,
    0.00021719395838297768,
    0.00014936142119344065,
    0.00017471950470579522,
    9.445257643826631e-05,
    0.0002195930349958178,
    0.00025976362936003423,
    0.0002639593608128685,
    0.00023235487205291853,
    0.0002481808583307659,
    0.00027582354392762486,
    0.00019828948177263143,
    0.00025452710471337333,
    0.0002518201491874143,
    0.0003630195138544233,
    0.00023284262796895188,
    0.00029489040886135093,
    0.00020483881622922236,
    0.00029205497753005645,
    0.00010058477111623595,
    4.4876809605617026e-05,
    0.00023353876963643467,
    9.665786792841708e-05,
    0.00019811339316731354,
    0.00012316808075776815,
    0.00022790041206392179,
    8.358153497681014e-05,
    0.00011632755510008078,
    0.00020601293415030498,
    0.00040966401093120013,
    0.00022091667519182973,
    0.000302863825249836,
    0.00020955352824827232,
    0.00026940610987726487,
    0.0001367910238647236,
    7.68979482523813e-05,
    0.00024111063182729163,
    0.00031673456224438944,
    0.0002624357930271619,
    0.00023454422883676128,
    0.00023600495196701013,
    0.00023179048982300236,
    0.00017145783473346076,
    7.552072776981636e-05,
    0.000377999491361185,
    0.00030127200990087363,
    0.0003091212082516348,
    0.00012028984340280826,
    0.000261269289893785,
    0.00010595514123091112,
    9.753700079616801e-05,
    3.631999958591436e-05,
    5.34879771462342e-05,
    0.00015320189792645877,
    0.00012799680272509629,
    0.00015226488489639392,
    0.00016623020416787484,
    0.00017883972495171647,
    0.0001325151899794368,
    0.00011428976051241338,
    0.00016028744405493822,
    0.0001711946755224229,
    0.00019748631377699514,
    0.00016056106936630638,
    0.00019636684043649206,
    0.0001534188013055649,
    0.00016799259009164666,
    5.1053112543466477e-05,
    0.00020110730395085804,
    0.00012223926156381377,
    0.0002560159978930114,
    0.00010618069369604469,
    0.00031229109102620764,
    0.00015079097035945518,
    0.0002752176215983143,
    5.4433746135329674e-05,
    0.00021403779562732418,
    7.932828883084559e-05,
    0.00022561596135944607,
    2.0699106989944552e-05,
    0.00024340647776755313,
    3.35751996867729e-05,
    0.00014351038988732171,
    1.3779324628631215e-05,
    0.00014180394221565063,
    0.00020038855430672928,
    0.00011350832488969181,
    0.00011874370267339175,
    0.00014992231394828762,
    0.0001497326836993757,
    8.5667899331911e-05,
    2.673572492258407e-05,
    0.0002156406015184555,
    0.00019409458352046775,
    0.00017060595391168973,
    6.195497506761741e-05,
    0.00016353712072398463,
    6.372946157377586e-05,
    4.3404446339005625e-05,
    3.669022815558786e-06,
    0.00020481780427421522,
    9.667344799263077e-05,
    0.00015031669007135748,
    1.8457606731424782e-05,
    0.00018784807197927178,
    4.048038822309826e-05,
    5.4835230705149476e-05,
    7.132430645101892e-06,
    0.00017953571947254793,
    1.6092928092642338e-05,
    6.111201066667746e-05,
    1.3721426636000302e-07,
    7.215640803614912e-05,
    2.6839059191828187e-06,
    1.840833645354706e-05,
    1.8450231722804042e-05,
    4.719261348355861e-05,
    2.182512915566256e-05,
    1.3865775183287102e-05,
    3.880829600423624e-06,
    1.5764365783368655e-05,
    3.1157531455484594e-06,
    4.3199308245022e-06,
    6.145122396344508e-05,
    2.1663775217446252e-05,
    3.2095398503262994e-06,
    3.781227364062819e-07,
    7.454178276439703e-05,
    4.64012009461024e-07,
    5.509681432573167e-05,
    3.9005591294823106e-05,
    0.00016225089309207557,
    8.920464858692591e-06,
    7.434429896421443e-06,
    2.562251933220465e-06,
    7.326604981019598e-05,
    7.403142795909247e-06,
    5.569036848084716e-05,
    4.7089167303768694e-05,
    0.0001295631885831733,
    8.882977950622517e-06,
    4.5296927972425296e-05,
    4.970758170644523e-05,
    0.000167343371017188,
    3.878305855649019e-05,
    0.00010003044829392224,
    0.00010341493939922328,
    0.00011271421522617794,
    2.5435441100209194e-05,
    2.0600076884912454e-05,
    1.8664221214293796e-06,
    9.599270044658029e-05,
    1.0866670157299957e-06,
    8.408587806991823e-05,
    3.612239131936978e-05,
    0.00016363013204441447,
    3.7360613661742787e-06,
    0.00013417676401712182,
    5.39168302798e-05,
    0.00032016053909610754,
    4.355776725367743e-05,
    0.00023429748205195774,
    0.00011231314502436575,
    0.00022975833889601994,
    5.813295674947902e-06,
    7.035900736551058e-05,
    4.755629509686497e-05,
    0.0002020077855978793,
    4.277360503951107e-05,
    0.00014075179937068536,
    8.792978683263373e-05,
    0.0001262665549128964,
    4.4138047857957794e-05,
    0.00017173474046399531,
    0.000147560909257025,
    0.0002481725156195915,
    9.828354698026239e-05,
    0.00013503108629290292,
    9.544617700789846e-05,
    0.00010463775323368255,
    2.8627441281516443e-05,
    7.892531219984691e-06,
    3.3778073357540593e-06,
    8.964226107705579e-05,
    5.928206080755982e-06,
    9.156375189133866e-05,
    6.834192441283881e-05,
    0.0002122671170210548,
    2.334642584200602e-06,
    6.7523327861241e-05,
    6.287130241977098e-05,
    0.00020221292174287192,
    6.010616789678688e-05,
    0.0001788565098454675,
    0.00016961665972402173,
    0.00021035383674630482,
    5.59623349702771e-06,
    6.032095787562872e-05,
    7.13905580480432e-05,
    0.00017893097781603636,
    6.543059738252343e-05,
    0.0001440837025504464,
    0.00017105167085434676,
    0.00016522557207163886,
    4.429350166529147e-05,
    0.00011061602156022108,
    0.00015175517306493838,
    0.00013767926554303885,
    0.00011553933357281423,
    9.29710467168944e-05,
    0.00015366674487454112,
    8.781431497696e-05,
    6.777791053602165e-06,
    0.00012121397764365287,
    6.030948066087702e-05,
    0.00023566961734851073,
    6.656811745152513e-05,
    0.0002347231883884826,
    0.00013227275385483588,
    0.00020063640726938583,
    6.891973390657213e-05,
    0.00027151443657965236,
    0.0001742290041443018,
    0.0003148195462460588,
    0.0001635285741070871,
    0.0002690495539053891,
    0.00015614594846707317,
    0.0001936560172079563,
    5.471170148122279e-05,
    0.00016351286444806065,
    0.00015088308074399017,
    0.0001764304364222014,
    0.0001301736327417415,
    0.00013941020249879136,
    0.00012001575224474297,
    0.00010614037462554128,
    0.0001143266199452841,
    0.0001296893005723379,
    0.000147055708512851,
    0.00011446908942169615,
    0.00010612293895260603,
    8.427170047843636e-05,
    9.451664805170174e-05,
    1.877539192091645e-05,
    3.109198334271266e-05,
    2.4426271003343396e-05,
    3.6443195414167983e-06,
    0.00010957595805479173,
    7.5956943600606025e-06,
    0.00013892516298080876,
    6.086447360770656e-05,
    0.00021726709831704127,
    7.36017841119883e-06,
    0.00011753613384225285,
    7.009481999180107e-05,
    0.0002488783570370884,
    7.436289467413876e-05,
    0.00025532801124795296,
    0.0001507684518781834,
    0.00021305742401169834,
    6.373989831783406e-06,
    8.913271643468846e-05,
    7.919930923037629e-05,
    0.00020582201932303233,
    8.014797684284254e-05,
    0.0001899051769793421,
    0.00015504216629467344,
    0.0001573629323664781,
    6.114130612316894e-05,
    0.0001571186140840727,
    0.00017156420998113716,
    0.0001573495659127621,
    0.0001480599655288441,
    0.00012761859012408206,
    0.00013259218434099243,
    7.529313287191185e-05,
    7.25214380939727e-06,
    0.00017585667550073361,
    5.566606812108891e-05,
    0.00025917197874793436,
    6.750843729016754e-05,
    0.00030463283312249183,
    0.00010891694141053008,
    0.00018798476073963435,
    8.793580458855547e-05,
    0.00040907354377165897,
    0.0001775249120370671,
    0.00036307245070941546,
    0.00018564645111263466,
    0.0003707533503584436,
    0.00012597892079776947,
    0.00017457356666528834,
    6.377337659129606e-05,
    0.00020933046838678504,
    0.00014583539651384517,
    0.00019537409068415458,
    0.0001420204093547212,
    0.0001748753448584482,
    9.898259674270914e-05,
    9.130171236317092e-05,
    0.00015049006521458864,
    0.0001955911655306068,
    0.0001500247318643621,
    0.00012137584035777379,
    0.00013960853325548927,
    0.00011021213943570061,
    7.171379777785098e-05,
    1.348275427285992e-05,
    1.5021611096373281e-05,
    0.0001347480916204319,
    8.759846862562345e-05,
    0.00024525588703842567,
    0.0001279214693859862,
    0.0003252000721285132,
    0.00021768705868585673,
    0.0002620352772549635,
    8.944459518975027e-05,
    0.00023239789102289015,
    0.0001950999976566042,
    0.00021152444663899528,
    0.00024189681453872514,
    0.0002667423737970003,
    0.00020721058246216345,
    0.00015980721097409115,
    8.023768633717343e-05,
    0.00015382629198837405,
    0.00019121726755206629,
    0.00013428248801079242,
    0.00021841088049792475,
    0.0001537997015206833,
    0.00021406279175814966,
    9.474428933410106e-05,
    0.0001423473313656732,
    9.104637382525864e-05,
    0.0001365328381561449,
    4.516367600424255e-05,
    0.00016121129602051095,
    5.5912393033953435e-05,
    0.00010621291284342267,
    7.1096548271572275e-06,
    9.318817667009476e-05,
    0.00031389306373864797,
    0.00015528860454095176,
    0.00022821767424618784,
    0.00020466907526194933,
    0.00030919660863063284,
    0.00013374417755283519,
    0.00013986635134782425,
    0.0002099104650693125,
    0.00033572356194277916,
    0.00017364018018871323,
    0.00018491231132280312,
    0.00022078903278797062,
    0.00023110811300551526,
    0.00011098500912992304,
    4.4848235346032594e-05,
    0.00015371844131173738,
    0.00012467937677280614,
    0.0001241204371212263,
    6.777473039039792e-05,
    0.00014873770638585874,
    8.870358505374823e-05,
    7.944268945547352e-05,
    9.234369746637526e-06,
    0.0001159362982631015,
    5.070287899696589e-05,
    6.911846056154555e-05,
    5.825781856468621e-06,
    9.063440561232797e-05,
    5.025969873123242e-06,
    9.703928644891487e-06,
    5.212501991899517e-06,
    1.6519000252139925e-05,
    1.0216842889551354e-06,
    1.2948933820891727e-06,
    5.865707779481217e-05,
    5.040745505112152e-06,
    4.228798770211531e-05,
    2.727421835875517e-05,
    0.0001175615987341331,
    1.494176653247117e-08,
    4.816026221892188e-05,
    4.028440486447083e-05,
    0.0002185555257839366,
    2.8114431515516935e-05,
    0.00011076952322708602,
    9.171161576880298e-05,
    0.00016373867621022776,
    2.7121991026082103e-06,
    8.186031886815961e-05,
    0.00010951517326113711,
    0.0003221690942553753,
    5.5815752166003235e-05,
    0.00015440804648780092,
    0.00019954420006588496,
    0.0002745803384648303,
    5.8902712764802976e-05,
    0.00018577643412568944,
    0.00028773016205123537,
    0.00039486890287119663,
    0.00012805359360946436,
    0.00015534563723129503,
    0.0002627385738055079,
    0.0002467253027519678,
    2.464845115790982e-07,
    8.19592561656305e-05,
    3.106450435950618e-05,
    0.00021951359941196802,
    3.0398936109135506e-05,
    0.00013426880941284087,
    6.758961216512849e-05,
    0.00013957163811188932,
    4.666382087925001e-05,
    0.00028818558182593194,
    0.00017152225059575274,
    0.0004616887028349778,
    9.89947079905505e-05,
    0.0001989896323041403,
    0.0001089162730014327,
    0.0001905828850301945,
    7.75443560563157e-05,
    0.000292962882053212,
    0.00025993566970720266,
    0.00045291401976602726,
    0.00013430166400292933,
    0.0002087576412757542,
    0.00019115547946572812,
    0.0002448492807924946,
    0.0002211323686675711,
    0.00036540346476755244,
    0.00040037728039426314,
    0.0004942962300724921,
    0.00016928521335230376,
    0.00020125009103570126,
    0.00020575851849180405,
    0.00014122313531583273,
    1.2012376422985986e-06,
    5.598801346234461e-05,
    4.7262028525057556e-05,
    0.00019570127134972627,
    4.345148930985369e-05,
    0.00012808043486162726,
    0.00011377055758706042,
    0.00016360402168229629,
    4.055237744857049e-05,
    0.0001360324453805794,
    0.00017186939137471348,
    0.0002593437396636326,
    0.00010705745776126675,
    0.0001227528631841141,
    0.00015175821986736774,
    0.00016271181805824875,
    7.592160657982446e-05,
    0.00018458272823330252,
    0.00031223618915881244,
    0.00033771260982144177,
    0.00017832156536987267,
    0.0001831420912910711,
    0.00033977274635180757,
    0.00025648107801785506,
    0.00015772082214638269,
    0.0001511372166756953,
    0.0003732877377808623,
    0.0002580618123642451,
    0.0001709713702457065,
    0.00012300719374658408,
    0.00029990490008015476,
    0.00010328217903096695,
    4.626645023006924e-05,
    0.00019533745483658318,
    0.0001251131857909843,
    0.00024270008075549102,
    9.734717152897249e-05,
    0.00014442192456359375,
    9.207340988377167e-05,
    0.00013071521983267235,
    0.00014478855852780972,
    0.00026476330295019585,
    0.00023233626669025905,
    0.0003270945654935246,
    0.00011851217979339867,
    0.0001521951637716203,
    0.00012483946429484442,
    7.397848952239769e-05,
    0.00020994083755902242,
    0.00024450780605636557,
    0.00031077148013328713,
    0.0002816556588515887,
    0.00016915697677387427,
    0.0001678977743993024,
    0.00019212470173325964,
    9.754115127115041e-05,
    0.0002106142209266656,
    0.0001740939185614593,
    0.0003218628338825578,
    0.00014164604220355073,
    0.00015032848394619359,
    5.5165549151437354e-05,
    9.762826072593693e-05,
    3.3168187395362294e-05,
    1.9478121730258445e-06,
    9.520120218361485e-05,
    4.797556564299978e-05,
    0.00022189998380834708,
    4.947528892869722e-05,
    0.0001826222285993374,
    9.818165515630964e-05,
    0.00017123788835446294,
    6.089532437838784e-05,
    0.0002386657235063492,
    0.00018637379549168794,
    0.000322792479625024,
    0.00013508507726280245,
    0.00019865525802443266,
    0.000143056829865601,
    0.0001881932571370082,
    0.00012197488517807844,
    0.00030227272102905734,
    0.0003245543155469447,
    0.0004032978985173286,
    0.00022938677001165143,
    0.00026782210349508774,
    0.0003167395358145602,
    0.00028276678008794487,
    0.0002616371222945944,
    0.0002864298186786314,
    0.00039977248019715456,
    0.0003223969875044558,
    0.0002446890295783288,
    0.00019085899059585385,
    0.0002882573148610081,
    0.00013086717327454085,
    5.530716611761221e-05,
    0.00029528379680760663,
    0.00011860322925397064,
    0.0002664533933512652,
    0.00010589129073725717,
    0.0001985990439248329,
    7.901383256699584e-05,
    0.00012970402918975493,
    0.00020972481862726198,
    0.00045632292390026326,
    0.00023840894826948646,
    0.0003772664820207445,
    0.00015291425640703233,
    0.00022161830412913513,
    0.00011317253227661975,
    7.916174918142248e-05,
    0.00027160150920738806,
    0.0003851795075542311,
    0.00029385887655712217,
    0.00032685127627278684,
    0.00019832924152195968,
    0.00022350053685783335,
    0.00016880785568220276,
    0.00010636312466845497,
    0.000332224619699188,
    0.00031518556329851655,
    0.0003101992833452015,
    0.00017757045263218441,
    0.00019305161444435777,
    9.399437307311992e-05,
    8.358889685136647e-05,
    4.526126954903528e-05,
    6.851831896359071e-05,
    0.00021065259433991688,
    0.00016892470711452352,
    0.0002368189386021024,
    0.00015809303998024087,
    0.0001953608982002831,
    0.00015695352987707634,
    0.00015792426797100722,
    0.0001726333511633786,
    0.00020427506725295206,
    0.0002319305514617655,
    0.00021312687039399798,
    0.0001660347360961206,
    0.00014573187034584673,
    0.00016332676353850796,
    6.280724855627602e-05,
    0.00025465386247753305,
    0.0001954793309506537,
    0.0003513257260043205,
    0.0002030864454040222,
    0.00029065632201270885,
    0.0001790585534033549,
    0.00031636453385690445,
    0.00010259855028851935,
    0.0002229384982380378,
    0.00010589567720588771,
    0.000278099454958865,
    5.2203947279247435e-05,
    0.00020537896888318702,
    3.99004280556929e-05,
    0.00014507408395799903,
    2.2250188299362148e-05,
    0.00015590875242359474,
    0.00024991835118564774,
    0.00013580753840969386,
    0.00016892415418556854,
    0.00011569875507107946,
    0.0001426733000308964,
    8.327426516943749e-05,
    3.737634323003919e-05,
    0.00020645253045294696,
    0.00022363988365385848,
    0.00018599124333873202,
    9.991200418930438e-05,
    0.0001246819716958934,
    6.147800830556138e-05,
    3.90317194122364e-05,
    5.453716858027212e-06,
    0.00023606295194717163,
    0.0001472365213367522,
    0.00019028890662206414,
    5.405743423878086e-05,
    0.00016035981737435296,
    5.434647105118402e-05,
    5.835114727143123e-05,
    1.7699937019351665e-05,
    0.00017156063682332608,
    3.0498787977568295e-05,
    8.021328021571524e-05,
    6.799940659863403e-06,
    5.4996861122190624e-05,
    3.418383803361455e-06,
    1.2778692860481494e-05,
    2.512324068599276e-05,
    1.9466552206217045e-05,
    5.479949755094309e-06,
    2.9617248978871674e-06,
    7.563783441139794e-05,
    7.413842976409429e-06,
    0.00010863477852369189,
    6.270517575526741e-05,
    0.00020771001201093508,
    4.168986124901216e-06,
    8.363431476675006e-05,
    6.99084881373923e-05,
    0.00024002791191707397,
    8.813526991044146e-05,
    0.0002634930220586897,
    0.00019954242967253608,
    0.00029959954793869323,
    7.525780628010136e-06,
    5.7011063742577135e-05,
    5.9474947675022305e-05,
    0.00015835234593610512,
    6.897708986427943e-05,
    0.0001561742602151433,
    0.00014922985167289659,
    0.00016052072987607062,
    4.893160367371844e-05,
    0.00012909122651546487,
    0.00017064934849745104,
    0.00017656587682076365,
    0.000136805268582414,
    0.00012935029405638102,
    0.00017585096666043122,
    0.00011949110337801807,
    2.7592022354872933e-06,
    0.00011479320713269318,
    4.884599403916012e-05,
    0.0002184928771208807,
    7.454722008700997e-05,
    0.00029744274674827544,
    0.00013013594458325507,
    0.00022971251411635078,
    9.061781140589816e-05,
    0.00038072129065622016,
    0.000205553496275295,
    0.0004027778554863738,
    0.0002508062850328135,
    0.00044640887469583293,
    0.00020954977926130268,
    0.0002880107195398685,
    4.902665539123234e-05,
    0.00015868186694342726,
    0.0001239837933095767,
    0.00016813223905540276,
    0.00013186384641780278,
    0.00015746477466856916,
    0.00011466922387918821,
    0.00011209352399006847,
    0.00014242732123435092,
    0.00019362515109824902,
    0.00018089561270959637,
    0.00015989118737077686,
    0.00014830341250979007,
    0.00012586088655691912,
    0.00011474041183635087,
    3.259267624129104e-05,
    9.090907025753175e-06,
    9.128094396724631e-05,
    7.82741727911974e-05,
    0.00019966603107375678,
    0.00014667909011210466,
    0.00031621447280451667,
    0.0002530130895558473,
    0.00030488654261341886,
    9.37668896582145e-05,
    0.00022082284511943217,
    0.00023039706168139228,
    0.0002526956508196171,
    0.00031789113752722436,
    0.0003439326978394007,
    0.00034773931370722584,
    0.0002958741711828621,
    6.354769597548393e-05,
    0.00012790941141229242,
    0.0001646423265260468,
    0.00012423967010678904,
    0.00021443622346588155,
    0.00016908392857823364,
    0.00024578899266890393,
    0.0001330638538680665,
    0.00013275362498175525,
    0.00010137848839054124,
    0.00016650565702900047,
    7.757998001305558e-05,
    0.00017291893714091865,
    8.458961219325082e-05,
    0.0001748065125129975,
    2.249460554388731e-05,
    8.768017152776671e-05,
    0.0002609954410011879,
    0.00015355910132587418,
    0.0002068417221440764,
    0.00026435050199247407,
    0.00035137077123529914,
    0.00019356464614060144,
    0.00020747583099234944,
    0.0002589271902469748,
    0.0003670437796052503,
    0.00024047768331661302,
    0.00024817673463276344,
    0.00034406925861626004,
    0.00033740524210554274,
    0.0002229585998121433,
    0.00012418845220898004,
    0.00013738506852176106,
    0.0001148646199786926,
    0.00011704162955878865,
    7.431505135938862e-05,
    0.000159694406246364,
    0.00010352509366121815,
    0.00011029579295752992,
    2.0973068949728607e-05,
    0.0001294975303501093,
    6.979927849990448e-05,
    0.00010366423523309865,
    1.381078641561462e-05,
    0.0001134743028622613,
    1.2775002076746363e-05,
    2.894209666041855e-05,
    1.8901592264802267e-07,
    1.0375049038637398e-05,
    0.00012933605815092382,
    7.258618276099204e-05,
    0.00021744409285814773,
    0.0001393884922942194,
    0.00038043254186748935,
    0.00018897882638836252,
    0.0002490934765033986,
    0.00010885035409842162,
    0.0002984303045338577,
    0.00021803635830750586,
    0.0002671897070464178,
    0.0003226524179414654,
    0.0004155236076702949,
    0.00024693539321171985,
    0.00023420491300956211,
    7.419304392639048e-05,
    0.00016409906891206238,
    0.00016524068217611934,
    0.00013475287363406114,
    0.00022749871853147105,
    0.00019044208767608463,
    0.00018509901422105403,
    9.75693849082623e-05,
    0.00016039676861938243,
    0.00013387914211810163,
    0.00015326224707117443,
    7.053091119362776e-05,
    0.00019557476081430282,
    9.330835410890223e-05,
    0.0001178754989647663,
    1.2865460594083635e-05,
    8.298505972306737e-05,
    0.0003305767704005491,
    0.00013542116401421173,
    0.00021855517393802875,
    0.00023744249277419472,
    0.00039859896430165383,
    0.00013367077491863733,
    0.0001546953125064806,
    0.00027658561347810396,
    0.0004963756793721089,
    0.0002077662636318019,
    0.0002459357953036639,
    0.00034879479153900197,
    0.0004009903087665331,
    0.0001498951851956565,
    8.118462734989024e-05,
    0.00014000301071078313,
    0.00015122216628703678,
    0.00010576162115892085,
    7.576006373821428e-05,
    0.0001596919178753667,
    0.0001115267402369345,
    7.631455307255436e-05,
    1.1854167087596141e-05,
    0.00015670759055760284,
    0.000101510652897929,
    8.291958684573619e-05,
    1.2176854701104015e-05,
    0.00012713446116407749,
    1.698101805925475e-05,
    1.3954427253738237e-05,
    1.8402794118523334e-06,
    0.00011963767443654316,
    0.0002551354002345946,
    0.00019258609518266076,
    0.00018369614325737418,
    0.00039229757577172815,
    0.00040717596706463645,
    0.0002800496899750177,
    0.00020462821424050342,
    0.0002730737872325187,
    0.0002637094863410667,
    0.00021572633664695046,
    0.00014432850937312402,
    0.0004175707993211138,
    0.0002882943254987581,
    0.0002415608816348349,
    7.609649702729206e-05,
    0.00016721352431912673,
    8.942097250310286e-05,
    0.00013269672992774806,
    3.964556282285819e-05,
    0.00027682275269885173,
    9.455879751915064e-05,
    0.00015829897112040547,
    9.776160511599906e-06,
    0.00012778987594217581,
    3.192865154073227e-05,
    6.708930013815411e-05,
    7.641730617292527e-06,
    0.00013622698523720191,
    2.2114151381077297e-06,
    2.5963201159904183e-05,
    4.2778568612416986e-06,
    0.00021509457697662136,
    0.0002743635239574637,
    0.00012322504271648728,
    0.00010734349582743047,
    0.00028249926058645895,
    0.00025372790440962947,
    0.0001191167630569215,
    3.776807916403259e-05,
    0.00027744026545967627,
    0.00023793621843577615,
    0.00012434400421841433,
    4.7208456492515364e-05,
    0.00025853194618385517,
    0.0001225538871603909,
    4.496008813671026e-05,
    9.83034716905995e-06,
    0.00011112447845029688,
    3.7585050898129454e-05,
    4.827633055432659e-05,
    5.2101852099667675e-06,
    0.0001099835554636322,
    6.511425671147917e-06,
    9.185144844613315e-06,
    2.7025256532550206e-06,
    6.436024287326135e-05,
    2.703580587448682e-06,
    7.296024440471754e-06,
    1.6675734262039156e-05,
    1.4403231557918218e-05,
    7.222938958726432e-06,
    2.263967569090167e-06,
    3.08056567008063e-07,
    1.0488428466830287e-06,
    5.495330657591017e-05,
    3.9677511450496713e-05,
    0.00017597074587547405,
    4.60274980053155e-05,
    0.0001469941025044486,
    9.969162427158132e-05,
    0.00016425015638483142,
    5.12804068356207e-05,
    0.00018253529345260399,
    0.00018837299772613908,
    0.00031242377747509726,
    0.00015216191489953801,
    0.0002049441679174294,
    0.00018063545867062604,
    0.00023382701649568612,
    7.434516790969597e-05,
    0.00018673314949668526,
    0.0002741920641395849,
    0.0003154863130458069,
    0.00018092130004901464,
    0.00019656162740112963,
    0.0002960600844062461,
    0.00024854682427375373,
    0.00021190097404958958,
    0.00023436498771408688,
    0.0004213717375495431,
    0.0003326988238735195,
    0.00023963652508233974,
    0.00019153538476411434,
    0.0003457826904595567,
    0.0001688130904804422,
    4.304144764560348e-05,
    0.00021234019647426862,
    0.00011080083256506754,
    0.0002552495422543205,
    0.0001109525332084347,
    0.00019360693840310468,
    9.738848420844595e-05,
    0.00016049089730452154,
    0.0001989305217594788,
    0.0004046593992884707,
    0.00025816052131116785,
    0.00041060533262178366,
    0.00019122449734629502,
    0.0002649904083463474,
    0.00016005337098355177,
    0.00012781563965640476,
    0.0001992620996456434,
    0.0002813652392663612,
    0.0002880910407052531,
    0.00030625276300561065,
    0.00018019145126821663,
    0.0001972423813712636,
    0.00019430599507233256,
    0.00011824393184320844,
    0.0003203156899224033,
    0.00031104321930253365,
    0.0003752579164993371,
    0.0002244605915523068,
    0.00022212557660567954,
    0.00011251171272254368,
    0.00013626075949967908,
    8.568705991816754e-05,
    5.654785870703164e-05,
    0.0001508177963685731,
    0.00016289495929489546,
    0.00020818348171187893,
    0.00016586651274182182,
    0.00017816478037305643,
    0.0001773262775800776,
    0.0001775573047486041,
    0.00017393700565362369,
    0.000185933562100174,
    0.00027588214396341256,
    0.00024353641003972584,
    0.0002114854147401587,
    0.00018163175435744077,
    0.00023469901710388425,
    0.00010930863882992297,
    0.00019633609828672823,
    0.0001478350629655454,
    0.0003255549069756606,
    0.00018216144867435062,
    0.00026161846059889304,
    0.0001625678543406855,
    0.0003304420617419388,
    0.0001142275387788421,
    0.00021093471344526844,
    0.00011446949162640109,
    0.0003268664850284592,
    7.597406756763405e-05,
    0.00022304572104583283,
    5.442186733572994e-05,
    0.00022043850872785262,
    5.9054741126189574e-05,
    0.00014054825074843872,
    0.00019911626613781542,
    0.00014428247154587258,
    0.0001751280541413474,
    0.00013747497257895512,
    0.0001597200553470005,
    0.00011396297682139152,
    5.860884556833015e-05,
    0.00022358090363869168,
    0.0002309414006063417,
    0.00023031929319744163,
    0.00013124592190454345,
    0.00017331861341920817,
    9.415757881322214e-05,
    7.484059802313803e-05,
    2.856301464187297e-05,
    0.00019958640284243107,
    0.00012906975895315742,
    0.0001998757420991534,
    5.756831994716481e-05,
    0.00016530425602799637,
    5.609104959018322e-05,
    8.414106960908413e-05,
    2.9677228035839263e-05,
    0.0001887173653593822,
    4.068486911906916e-05,
    0.00011995682467727826,
    2.0936127984087542e-05,
    7.692220365769416e-05,
    1.071460073318127e-05,
    4.581549651273574e-05,
    6.787563694094288e-05,
    6.577370228869162e-05,
    0.00021752546858167584,
    0.00014845789082430864,
    0.00021401472233117393,
    0.00017558790938994266,
    0.00023013661117411978,
    0.00014129746500672467,
    0.00015926120387015427,
    0.00022294551120249654,
    0.00029187341722705217,
    0.00025761732643278767,
    0.0002625351937027,
    0.0002567876111358222,
    0.0002525493969768424,
    0.0002059432644175408,
    0.00011167658646285524,
    0.0002602361585130283,
    0.00023782890476752627,
    0.0003181332666826138,
    0.00020739999743055046,
    0.00031482869356941844,
    0.00021155561799841586,
    0.0002860839376871596,
    0.00011099899181587723,
    0.00031504843457270894,
    0.000193588283670134,
    0.00030885859299261564,
    9.190429003381849e-05,
    0.0002952656616491883,
    9.16495765147634e-05,
    0.00019390542088559056,
    6.918131353787534e-05,
    0.00015661835420766962,
    0.00029183135313594577,
    0.00013033750781698143,
    0.00018192525908554823,
    0.00014808176393954004,
    0.000195148640611059,
    9.418638851222106e-05,
    5.006367902241295e-05,
    0.00029195573000569423,
    0.0003631510413405855,
    0.00020971787719472384,
    0.0001409936682560584,
    0.00021073589932052986,
    0.00013836520922142775,
    6.0495230445503665e-05,
    2.6946833115220802e-05,
    0.00025015046318903415,
    0.0002089914290473901,
    0.00018709395332408433,
    7.253989947259826e-05,
    0.00018892851172734213,
    8.086841093163028e-05,
    6.74809824154119e-05,
    2.9322436806238635e-05,
    0.00026827038272955197,
    9.496567268003404e-05,
    0.00010320961133896104,
    3.172441689508546e-05,
    0.00010560152838862522,
    3.0327657675952434e-05,
    3.297779425687527e-05,
    7.494660177005133e-05,
    0.0001850760972735788,
    0.00018145182243567106,
    0.00017628127300329125,
    0.00013750004373542583,
    0.0002237792532619151,
    0.00017640848341502117,
    0.00016106939002490786,
    5.4853961789183606e-05,
    0.00022739139962028122,
    0.00015463312798689002,
    0.0002032595302786173,
    5.771935742234031e-05,
    0.00022445892624402996,
    7.579843628062252e-05,
    9.739441549385901e-05,
    1.98739085102678e-05,
    0.0002247135060100644,
    8.402702443653666e-05,
    0.00019475949221638383,
    2.3759910832958258e-05,
    0.00026885751551006964,
    5.1687716824073354e-05,
    0.000149144909465166,
    2.6255219471830973e-05,
    0.0001640515027313216,
    1.293574194151589e-05,
    7.704499778958638e-05,
    4.341255389549825e-07,
    0.00010879129849978343,
    4.567983219630432e-06,
    8.330690539483731e-05,
    4.5297453235441315e-05,
    0.00015554644889253234,
    0.0001407730913189999,
    9.787471971485984e-05,
    2.9162021931726437e-05,
    0.0001247301379311282,
    5.180298855862447e-05,
    2.6972342989049216e-05,
    1.8419525826357152e-06,
    0.00017568247725061384,
    6.598086401713295e-05,
    5.355241879771806e-05,
    5.498011442795369e-06,
    6.686134117332219e-05,
    1.3115393932066362e-05,
    4.756175795622916e-06,
    1.5504308138461137e-05,
    0.000128834192375746,
    1.4146368339829683e-05,
    2.878558039569728e-05,
    1.6958501551300955e-07,
    5.3755101836615125e-05,
    4.709538550352359e-06,
    9.38308962782819e-06,
    2.102292910239518e-05,
    3.712360838702466e-05,
    2.485146023288636e-06,
    2.9991784669798075e-06,
    7.724937617607001e-07,
    1.0245080664814717e-05,
    9.11194786757717e-06,
    2.6651963547147824e-05,
    4.862565214736778e-05,
    2.3726219614231815e-05,
    1.2022061001969865e-05,
    1.2119554378154796e-05,
    1.829353912024125e-06,
    9.514179721468067e-06,
    3.509258636378223e-06,
    9.00937841883746e-06,
    4.7278381980011264e-05,
    1.4110178592177856e-05,
    1.9087700338296576e-06,
    3.3143580730523884e-06,
    4.941823417671816e-05,
    6.14890226665254e-06,
    3.518968026088012e-05,
    2.9859749709917753e-05,
    0.00011752156303438551,
    1.085092949783556e-05,
    1.0619140311857694e-05,
    3.2801685923716517e-06,
    6.892324488436648e-05,
    7.790954520997497e-06,
    4.959276268063369e-05,
    5.362981205949678e-05,
    0.00014816773982566996,
    1.1756139034059604e-05,
    3.8297397305672814e-05,
    4.2149713542332736e-05,
    0.0001353537001732812,
    3.4130503757554375e-05,
    8.387350642656913e-05,
    0.00010126839106595553,
    0.00010639980361496234,
    1.950119647135294e-05,
    5.696554129067154e-06,
    2.4923419936083056e-06,
    8.294351318946654e-05,
    2.9595320842847603e-06,
    6.38745398786101e-05,
    3.352342587026817e-05,
    0.00015839728191649921,
    2.8329068851645234e-07,
    8.768678978641056e-05,
    4.3013562879206315e-05,
    0.0002618212692991981,
    3.549709481721599e-05,
    0.00016702408233201286,
    9.628008062325907e-05,
    0.00018355719017198153,
    6.019288181742298e-06,
    6.49289977102434e-05,
    5.331377320351262e-05,
    0.00021211724548344594,
    4.541517371497762e-05,
    0.00014540211860368478,
    0.00011913463679176896,
    0.0001658075881306548,
    4.270246666392759e-05,
    0.00014895343901140571,
    0.0001464881478522933,
    0.00020023590003667022,
    9.87373527865803e-05,
    0.0001179959481822204,
    0.00010637386261742047,
    9.881489638125086e-05,
    2.0703565618230544e-05,
    3.193949035175903e-06,
    1.8286333035052432e-06,
    8.325310790546634e-05,
    3.916052730836931e-06,
    7.977571109440954e-05,
    7.418392814795498e-05,
    0.00022090469172065055,
    7.291563094637379e-07,
    4.948195575936639e-05,
    5.1490745362121894e-05,
    0.00018021524340916048,
    5.3258938703642965e-05,
    0.00014986499393674366,
    0.00015619725155063005,
    0.0001832517111121903,
    6.666558533101653e-06,
    5.560971472839675e-05,
    8.029079038698106e-05,
    0.00018669237976501438,
    8.153004219341371e-05,
    0.00015659807533648047,
    0.0002448921363069183,
    0.000210934552841046,
    4.27965850038614e-05,
    9.412763150528031e-05,
    0.00014751195279392055,
    0.00011604631342040159,
    0.00012934789299183614,
    9.074562065262383e-05,
    0.00017863986174641497,
    8.172252850133394e-05,
    4.3370389043164225e-06,
    0.0001061502014122488,
    6.541669525480516e-05,
    0.0002652623127046822,
    7.604753804968285e-05,
    0.00024676759963101385,
    0.00016945946277892413,
    0.00024567107103765193,
    6.290239653066925e-05,
    0.00023653336366712393,
    0.00017754077609176652,
    0.0002903973184116189,
    0.00017072849202389394,
    0.00024035874232496545,
    0.00016341682692710816,
    0.00017484900451767498,
    6.222566518011979e-05,
    0.00015877607639202905,
    0.00019106688221792967,
    0.00019745354520340892,
    0.00017757455179032646,
    0.00017151900131027965,
    0.00019245259845422852,
    0.00013719681768515238,
    0.00012687911110900602,
    0.00010812173218377425,
    0.00016109463344565143,
    9.830693833433875e-05,
    0.0001318106986976472,
    8.199139412612408e-05,
    0.00010988008729312797,
    1.5670213457193714e-05,
    1.4366644042053205e-05,
    4.869816204134062e-06,
    3.5044798533012288e-06,
    7.630753927049977e-05,
    2.049430333507795e-06,
    9.047806137643944e-05,
    4.7253474399554663e-05,
    0.000179811335263373,
    1.5572600470189292e-06,
    6.283742895308331e-05,
    4.2774194009614e-05,
    0.00016810620801696813,
    4.638194900970209e-05,
    0.0001705152440155187,
    0.00011030285348351943,
    0.00015584649014970512,
    5.236182838349177e-06,
    7.136974511787133e-05,
    7.167661615546447e-05,
    0.0001792477694650501,
    8.401814884495415e-05,
    0.00019850345139711754,
    0.00018285485387467697,
    0.00017610506323342373,
    4.788924975439781e-05,
    0.00012134317236275099,
    0.0001263973669268513,
    9.892101113997283e-05,
    0.00013458954646550025,
    0.0001118889681361676,
    0.00011961014856796354,
    6.041916136412551e-05,
    1.7408097766340065e-06,
    0.00011638871938745898,
    4.7523183227182245e-05,
    0.000223483041594364,
    5.7691838891021075e-05,
    0.0002594600600277045,
    0.0001160270841201389,
    0.00018639722912993262,
    5.928997267676646e-05,
    0.0002703702942229939,
    0.0001421113240831337,
    0.0002476219836104395,
    0.000148011466531957,
    0.0002642032683606633,
    0.0001135526001897328,
    0.00013731742611131304,
    6.31047049099479e-05,
    0.0001971518428845464,
    0.0001566690670984366,
    0.00017556530467353987,
    0.00017517161345404836,
    0.00021012748751284837,
    0.00013640155655296525,
    0.00010461276885994477,
    0.0001431772461453641,
    0.00014678673086803307,
    0.00011945202293444043,
    7.498625240156436e-05,
    0.0001382448344669726,
    9.606220330574629e-05,
    6.799905772066439e-05,
    1.0097824833106388e-05,
    4.621414483858029e-06,
    9.304848919764755e-05,
    7.378070632022414e-05,
    0.000222934332104382,
    0.0001252953776102165,
    0.00031085944537222735,
    0.00024059908788624194,
    0.00026944551118620886,
    5.969549284945405e-05,
    0.00016908582537273237,
    0.0001528197118012163,
    0.00016183127391893571,
    0.00021698709532193717,
    0.0002302792982614355,
    0.00018820380337417782,
    0.0001319238817931213,
    7.523736177264015e-05,
    0.00013991986643904064,
    0.00020180510040615713,
    0.00013210023625534318,
    0.00030195589908773045,
    0.00020278819360871784,
    0.00030161379144793963,
    0.0001153221211219892,
    0.0001281948835462454,
    7.368568118049674e-05,
    0.00011687412692740583,
    3.4504194655065145e-05,
    0.00018774276061627165,
    5.687228201710819e-05,
    0.00010847542123649022,
    6.8120557989916565e-06,
    8.296050248235631e-05,
    0.0002707455978426327,
    0.0001675839935100493,
    0.00022390940196565618,
    0.0002490534139121876,
    0.0003406470576156082,
    0.00018140194514410085,
    0.00015717084304305972,
    0.00018058849740242039,
    0.0002527137282234662,
    0.0001509241864205339,
    0.00013730380912283557,
    0.000223572518551218,
    0.00020694713246780004,
    0.00011091068276298186,
    3.1777105968051626e-05,
    0.00017529734210549575,
    0.0001288861942629469,
    0.00015028853188746847,
    7.093306802487236e-05,
    0.0002333112277800775,
    0.0001255596780348322,
    0.00011346442523226632,
    1.3103089160682733e-05,
    0.00011913515176509806,
    4.33580037647344e-05,
    6.592223862003753e-05,
    8.791403484970555e-06,
    0.00010665824252457,
    4.670960596222529e-06,
    1.0352928938296014e-05,
    6.376271272589367e-06,
    1.29589743683656e-05,
    5.095292755409209e-06,
    9.77320083513746e-06,
    3.328759362661543e-05,
    1.2331358697900293e-05,
    2.795221036551821e-05,
    2.034042820909295e-05,
    6.022630606133509e-05,
    6.251329230748285e-06,
    2.6919109658036138e-05,
    2.296437437858466e-05,
    0.00011114557055020809,
    2.2047810914858755e-05,
    5.820088226911467e-05,
    4.269804711653704e-05,
    6.575287081086595e-05,
    1.7422349717611958e-06,
    5.967221422281109e-05,
    9.057636715714951e-05,
    0.00025053494566801195,
    4.756942232642755e-05,
    0.00011476750191981849,
    0.00016513557252480495,
    0.00020737117208362405,
    4.2251965478776136e-05,
    0.00012708173496830925,
    0.00021071636022453353,
    0.0002605200863784642,
    8.573546194115879e-05,
    8.859015974508189e-05,
    0.00018184528787759538,
    0.00015401203822728405,
    3.4213291325783054e-06,
    5.0334560321904255e-05,
    2.3533501097916064e-05,
    0.0001438033147595794,
    2.542880966915094e-05,
    9.629742867146768e-05,
    4.726660522351532e-05,
    8.346597637486612e-05,
    2.934556359794639e-05,
    0.00016989633003295068,
    0.00010306657848351437,
    0.00024085945762769171,
    6.494736245686675e-05,
    0.00010335884918307107,
    5.806755186054164e-05,
    9.973317590040118e-05,
    6.890996998649179e-05,
    0.00024699025340663584,
    0.0002419045958331633,
    0.0003803456443568895,
    0.00012050070926349281,
    0.0001714844851179283,
    0.00017423753508241966,
    0.0002034760532628774,
    0.00018458675392969063,
    0.0002542284425988864,
    0.0003238886760593521,
    0.00033537868523265886,
    0.00011417013066535371,
    0.00012533828875900015,
    0.00015416501009439236,
    7.993080820821176e-05,
    3.4567651183947385e-06,
    3.817483362044505e-05,
    3.381559087097964e-05,
    0.00013330986358441044,
    3.5338823867061215e-05,
    9.94117076550321e-05,
    8.493744390339493e-05,
    0.00010270844214775193,
    2.806968595707547e-05,
    8.928950914855706e-05,
    0.00010513406072419751,
    0.00014476080926461652,
    7.947968600838717e-05,
    7.434616976533666e-05,
    8.76133659701537e-05,
    9.037963727537189e-05,
    6.85055088421408e-05,
    0.00015484272734484308,
    0.000312211998034102,
    0.0003090929505954892,
    0.00018726855364810635,
    0.0001682523708245006,
    0.0003511620468794585,
    0.00022771703198398924,
    0.00013684839691209847,
    0.00011343061402098337,
    0.00033814369107195417,
    0.0002018979904375599,
    0.0001490284909576262,
    9.255196408994136e-05,
    0.0002544585191857678,
    6.686975285329903e-05,
    3.809936665062189e-05,
    0.0001570576003220522,
    0.00010276199412276498,
    0.0001774130090019282,
    0.00010065443559845686,
    0.000138055274486647,
    8.272067403400828e-05,
    0.0001024204508904705,
    0.00011297579567124658,
    0.00017305989388765572,
    0.0001547749567393867,
    0.00019567992291719737,
    9.588501873840901e-05,
    0.0001109825016762672,
    9.022282535890677e-05,
    3.841488922222292e-05,
    0.00022156497989249255,
    0.00023401821719267894,
    0.0003464777701050967,
    0.0002788458095888544,
    0.00019553411723846042,
    0.00017324641231899508,
    0.00020986455137848316,
    9.438362040158085e-05,
    0.0002070809750673462,
    0.00014357910841243966,
    0.0003181280091414473,
    0.00010755715146281633,
    0.00013800738247302533,
    3.9796525921998954e-05,
    8.408194098616632e-05,
    1.8465982466839668e-05,
    4.085922086317575e-06,
    4.592436755563313e-05,
    2.6043899003511294e-05,
    0.00011284538177591335,
    3.0491546528322493e-05,
    0.00010757695021717281,
    5.2364377878170495e-05,
    8.161824072080562e-05,
    2.851476486071924e-05,
    0.00011664009437660387,
    8.62789926934283e-05,
    0.00014121076257995706,
    6.948651139858218e-05,
    9.202252019441935e-05,
    6.525764204529425e-05,
    9.356471708420744e-05,
    9.551566546003337e-05,
    0.00024604315123417594,
    0.0002704131093734461,
    0.00032055948377771444,
    0.0002023917625603449,
    0.00023883990539831865,
    0.00026999065632326885,
    0.0002284500582189764,
    0.00018772486003473837,
    0.00019553613439301487,
    0.000287596341898327,
    0.00021318241250077057,
    0.00016402828048339252,
    0.0001291528878782898,
    0.00020445202408631295,
    7.55236842037386e-05,
    3.3755973042006254e-05,
    0.0001810180248437918,
    7.663793672267689e-05,
    0.0001426704073605497,
    7.99331527896752e-05,
    0.00013888535598843477,
    5.419806754215057e-05,
    8.316182072038767e-05,
    0.00011786860036358234,
    0.00022223550091171683,
    0.00012320861065434518,
    0.00017536738082396988,
    8.309507394677884e-05,
    0.00012252417280762264,
    7.217897914241366e-05,
    3.459381749447553e-05,
    0.0002611723459454178,
    0.00035069571792708507,
    0.00027670532294338446,
    0.0002699926647833279,
    0.00019431581191574872,
    0.00021528372408357427,
    0.00015788385878162756,
    8.807726094399379e-05,
    0.00026583838288149865,
    0.00021997106027081943,
    0.00024425698017824563,
    0.00010029001872443748,
    0.0001404494084218376,
    5.576907474642194e-05,
    5.8289715576114534e-05,
    1.948668661352839e-05,
    4.126816991370143e-05,
    0.00013209049410123366,
    0.00010214576197132672,
    0.0001332421305944457,
    0.00012833866078662063,
    0.00015220492162966185,
    0.00010774278870503604,
    0.00010362902839406834,
    9.759682446696027e-05,
    0.0001065602334728859,
    0.00011873994703567902,
    0.00011462717419778558,
    0.0001071666566959791,
    9.679110941403263e-05,
    0.00010257539604837725,
    3.15662938379946e-05,
    0.0002468729767591466,
    0.00019604519808571954,
    0.0003624570070560425,
    0.00020026723573392217,
    0.00034657994928934436,
    0.00020947019193433397,
    0.0003395452157442711,
    0.00010504260904442024,
    0.00019666133292128946,
    9.441569304746836e-05,
    0.00025595962206571886,
    4.10374392434379e-05,
    0.00019174632874017288,
    3.30324624255823e-05,
    0.00012775743222887809,
    1.615141987341845e-05,
    0.00011651152596509182,
    0.00017309456003282227,
    9.122610275352323e-05,
    0.00010948470001613093,
    0.00011758576100759989,
    0.00013951381058271569,
    7.110545794088059e-05,
    2.746722209584697e-05,
    0.00012108125838283274,
    0.000126975790155754,
    0.00011522493789392952,
    4.138441348549805e-05,
    9.70018081884772e-05,
    3.8511636453794247e-05,
    2.5629186434775974e-05,
    8.148041483363009e-07,
    0.0002726229895408903,
    0.00016993386804166528,
    0.00021620606381367096,
    5.801669392997871e-05,
    0.0002059545441396899,
    7.542623849084143e-05,
    7.231126881653311e-05,
    2.5989225404470487e-05,
    0.00017282736056358132,
    2.759648758554705e-05,
    8.018006199231851e-05,
    6.5200228148420806e-06,
    5.3410074298138705e-05,
    3.515355598907331e-06,
    1.25564958062183e-05,
    2.3308463989515074e-05,
    9.831662511700486e-06,
    5.4629658008167994e-06,
    7.369745663461621e-06,
    5.51333299360207e-05,
    1.9034359108923633e-06,
    6.76779340452891e-05,
    4.8379024283085056e-05,
    0.00016630125430528624,
    2.6180785560663846e-06,
    4.6600776904150294e-05,
    4.48451251188141e-05,
    0.00016683949920837468,
    5.501413146583649e-05,
    0.0001696758756749607,
    0.00014617921596144263,
    0.0002109524478893502,
    1.4225163957668594e-05,
    4.586747518089633e-05,
    5.2740175821660094e-05,
    0.00013694618627007064,
    6.516736406907648e-05,
    0.0001427198926862075,
    0.00017205431814710205,
    0.00017740947163050682,
    3.9866127181459104e-05,
    9.016624218540613e-05,
    0.00012641647696988255,
    0.00011856353936351881,
    0.0001252426518453223,
    0.00010511401889998476,
    0.00017550461733895065,
    0.00010031154135077177,
    2.708868127245339e-06,
    7.664386795026527e-05,
    4.170443560502103e-05,
    0.00019299397793090336,
    5.903871502251421e-05,
    0.00022957488599670858,
    0.00012562696424751977,
    0.00021051952507814193,
    6.133116161540164e-05,
    0.0002582427937787469,
    0.0001659434507453724,
    0.000294275776234796,
    0.00020338435607810605,
    0.00030522708825606336,
    0.0001844435001505023,
    0.00021460815288064925,
    4.778808730995294e-05,
    0.0001319322355790469,
    0.0001265141545821045,
    0.00015674699067226566,
    0.00014453516373258128,
    0.000160769855257333,
    0.0001545203175581629,
    0.00012633927174035916,
    0.00013024494814755134,
    0.00013722270448870565,
    0.00015756516033574273,
    0.00011224145406028212,
    0.00015340314088633142,
    0.00010537845377437973,
    0.00012155554436634093,
    2.326498648661516e-05,
    2.9204765955218457e-06,
    6.652849631976314e-05,
    7.008489865428478e-05,
    0.00019886451496736398,
    0.00013708266927058073,
    0.00026965957839046053,
    0.00026626517433451483,
    0.00029020857964946685,
    6.543392281471822e-05,
    0.00016278577073868209,
    0.0001938838908026782,
    0.0002075025045289899,
    0.00027999778737264406,
    0.00025282069778033764,
    0.0002972662383383828,
    0.00021445952880583808,
    5.7339597752057393e-05,
    0.00010199262772348592,
    0.0001780177514960363,
    0.00012919801378855674,
    0.00025485365630279903,
    0.0001692689934105888,
    0.0003260592423741801,
    0.00014280907407906502,
    0.00011341512252677518,
    6.839409727276433e-05,
    0.00015513620484378893,
    5.9980159478728026e-05,
    0.0001836343013501512,
    6.62022743859804e-05,
    0.00017934257102567223,
    1.4368296641094721e-05,
    7.924104477181363e-05,
    0.00023087722862762084,
    0.00017559762082108662,
    0.0002338130219866675,
    0.0002972001621567004,
    0.00033580743158339156,
    0.00023864342715960678,
    0.00021332210731870533,
    0.00024136071145602108,
    0.0002930080001583751,
    0.0002372212104993124,
    0.00020663134409773068,
    0.00034119294100708186,
    0.0002642800581483045,
    0.00021052453730345606,
    8.0279702926091e-05,
    0.00014380719794103303,
    0.00010303140025125918,
    0.0001539426040425072,
    8.269580060755607e-05,
    0.00021385387771034067,
    0.00011307778965430001,
    0.00015199026812698574,
    2.435148741438529e-05,
    0.00013326089242084128,
    5.3731693762426004e-05,
    0.00011195293380512337,
    1.129148797949009e-05,
    0.00012705009895984612,
    8.585794133533562e-06,
    3.0842307668986615e-05,
    3.772244657207847e-08,
    4.581569036889241e-06,
    6.821115347896999e-05,
    4.749531301972084e-05,
    0.00015690364108593424,
    9.115902777130023e-05,
    0.0002679133505214187,
    0.00015951038803416849,
    0.00020032966895827323,
    5.316689146398542e-05,
    0.00016692325720128078,
    0.0001343252775311377,
    0.0001630318667372292,
    0.00022032770751468885,
    0.0002693361833636949,
    0.00019074849215528918,
    0.00016212444555288501,
    5.56399922811865e-05,
    0.00012361353726076234,
    0.00013516917115190144,
    0.00010762218691535484,
    0.00023891197321623892,
    0.00019500289211756076,
    0.00020920264313610516,
    9.581814751733533e-05,
    0.00011178143907622085,
    8.26181982836502e-05,
    9.790002250608185e-05,
    4.0445561184796424e-05,
    0.00017846970492598716,
    7.427885421447947e-05,
    0.00010321336282036504,
    8.078470819390378e-06,
    5.578455231922365e-05,
    0.00021931046737251906,
    0.0001164130975467209,
    0.00016846186937168888,
    0.00020887910991842902,
    0.000312268762814825,
    0.00014034617956629243,
    0.000135765918480645,
    0.00018701760890647804,
    0.00029047669753677884,
    0.0001518872495087544,
    0.0001497734981212371,
    0.0002756815774724717,
    0.00026872402595963036,
    0.00013284603849008817,
    4.489045759125996e-05,
    0.0001296257869925736,
    0.0001265445939963188,
    0.00010358485289148793,
    6.250981805700764e-05,
    0.0001930289698047092,
    0.00012301946570393614,
    9.083285989811094e-05,
    1.0939121349762473e-05,
    0.00012956940470160638,
    6.698322569784626e-05,
    6.322543771403351e-05,
    9.235731173542255e-06,
    0.00012364934310021413,
    1.0744523075990227e-05,
    1.1601991498016901e-05,
    4.312366384624873e-06,
    7.937589345352355e-05,
    0.00019132005686775094,
    0.00017847966834372216,
    0.0001767390107787016,
    0.00038967912027169016,
    0.0003658074217459447,
    0.0003040521599496808,
    0.00018770855612525007,
    0.00018911220213107242,
    0.0001803727176882775,
    0.00017044799326996967,
    0.00010755769396244319,
    0.0003629247136331194,
    0.0002174127021437118,
    0.00020518213754022448,
    4.377915899265041e-05,
    0.00015495394780999246,
    8.558201881943339e-05,
    0.00015398825867721984,
    4.334765274446354e-05,
    0.0003668755483068077,
    0.0001116827269439625,
    0.0002031492916501558,
    1.157450751794317e-05,
    0.00010995252327465824,
    2.5331496526726265e-05,
    6.254325474041247e-05,
    9.673861591508505e-06,
    0.00014377065735310396,
    1.6881244849345506e-06,
    2.4999723960746968e-05,
    6.694372502934159e-06,
    0.00019503660781873102,
    0.00022996393862583162,
    0.0001432720334124524,
    0.00010696000694972131,
    0.0003304305259091778,
    0.00025108175464386205,
    0.00014300987367219512,
    3.359826343594696e-05,
    0.00022900018411258922,
    0.00017034199985296373,
    0.00011143578658064474,
    2.7285171355331577e-05,
    0.00024775874856434505,
    8.350763445422822e-05,
    3.585088415414414e-05,
    2.5674747208495975e-06,
    0.0001346640684217035,
    4.6194486590663194e-05,
    6.467108110906504e-05,
    4.722271270528207e-06,
    0.00015966880053473672,
    1.1115781817955938e-05,
    1.4776640317582692e-05,
    1.6018502224077455e-06,
    7.054253598452065e-05,
    4.1944272062537895e-06,
    8.05649452345547e-06,
    1.6555404214586258e-05,
    1.73865902934349e-05,
    7.148897941541325e-06,
    2.21892239236424e-06,
    1.4058637887405432e-06,
    9.00019704845192e-06,
    3.3340669461208165e-05,
    2.6515844863878852e-05,
    9.585529216272618e-05,
    3.0252249603522395e-05,
    9.084827427040343e-05,
    5.670249882581223e-05,
    8.148914240213902e-05,
    2.9208694818979766e-05,
    9.618361026041177e-05,
    9.079335449563719e-05,
    0.00013671301477788118,
    9.016802857642337e-05,
    0.0001018810485511993,
    8.756643819306676e-05,
    0.0001084848767874123,
    5.4863022967453785e-05,
    0.00013018846274130284,
    0.00020403887616776378,
    0.00022546948220843156,
    0.00014822846659502456,
    0.00014807605127876273,
    0.00023922942884384827,
    0.00017919429891151358,
    0.00014058401686263677,
    0.00013846192711062526,
    0.0002811938642799299,
    0.0001988851643959747,
    0.00016687239234091408,
    0.0001167101589424161,
    0.00024339252044370955,
    8.501613781613424e-05,
    3.1390621164102586e-05,
    0.00013755361496418442,
    7.258888571012081e-05,
    0.00014333552360503237,
    8.868767210291483e-05,
    0.00013734982986095406,
    6.555025926474544e-05,
    9.822991797315072e-05,
    0.00012307042100197154,
    0.00020882854531366782,
    0.00013405007463235483,
    0.00019018878094991125,
    0.00012420380427789618,
    0.00015000386534162212,
    9.713731539957446e-05,
    4.960791514896439e-05,
    0.00016251085923700442,
    0.00021127276286208622,
    0.00023764319404390353,
    0.00023210335246233622,
    0.00015965576958419157,
    0.00015955125432066437,
    0.0001686070612735715,
    8.269334650995506e-05,
    0.0002360831761639052,
    0.00019426080276819879,
    0.0002778292594188057,
    0.0001156942406857344,
    0.0001638320894917264,
    5.790801693551706e-05,
    9.180108686553436e-05,
    3.238361034710981e-05,
    3.9060392676491694e-05,
    0.00010430785639607877,
    0.00011049508000603735,
    0.00012956390656796457,
    0.00014572063476536178,
    0.00013288507797219482,
    0.00012575906555706377,
    0.00010544286771812584,
    0.00011133236949254336,
    0.00010112102573539878,
    0.00015331852586921384,
    0.00012760960440420934,
    0.00014927135574247,
    0.00010635821936845352,
    0.00013615393092165353,
    4.201058645500439e-05,
    0.00016836495303597382,
    0.00012115056133781788,
    0.0003132333371828657,
    0.00016165598623372505,
    0.0002657613950930753,
    0.0001393204814647378,
    0.0003104901468149557,
    8.379309525634025e-05,
    0.00016966173242705874,
    8.213559816736335e-05,
    0.00028048562004933,
    4.674582828115383e-05,
    0.00018502323027905164,
    3.099735060343748e-05,
    0.00016303411365271717,
    2.160771276593974e-05,
    0.00011680206599360973,
    0.0001485780195611055,
    0.00010952241812749247,
    0.00012288198346411516,
    0.0001471626244681619,
    0.0001417829688050746,
    9.28540278968067e-05,
    3.410841617640505e-05,
    0.00015405173110225764,
    0.00013699560767392854,
    0.00014970517197648593,
    5.3867228617393094e-05,
    0.00013769867382605678,
    4.983872835470537e-05,
    4.1762022202412303e-05,
    4.1621812337185064e-06,
    0.0001991949280717716,
    0.0001229148032493463,
    0.00021441514855327209,
    5.343592190687664e-05,
    0.00017794021410043678,
    5.111074211810931e-05,
    8.443911686121067e-05,
    2.237528226798752e-05,
    0.00017699600346870645,
    2.7345057036251007e-05,
    0.00011089538131295383,
    1.1848706512978847e-05,
    6.332281756390877e-05,
    3.1760714568903614e-06,
    3.2084199319107605e-05,
    3.2766864798502385e-05,
    3.33573764987137e-05,
    0.00010917725359748351,
    6.863650594678312e-05,
    8.922601803325065e-05,
    0.00010476257726916842,
    0.00013038996384101388,
    7.487941622739988e-05,
    8.087732522644281e-05,
    9.711613844333855e-05,
    0.00011826740933285759,
    0.00010064138996584414,
    0.00010924846745329464,
    0.00012782456320316346,
    0.00012684415552045985,
    0.00010838002969181373,
    3.8881231532327106e-05,
    0.00018814699229379917,
    0.00018022663774894295,
    0.0002347933203520431,
    0.00014974639194922663,
    0.00027109227608887156,
    0.00017807405099107878,
    0.00023031111858326078,
    7.45112455737387e-05,
    0.00019656070201827324,
    0.00012061450738385277,
    0.0002027282706987747,
    4.266841694700329e-05,
    0.00020585555299999496,
    4.9637366707616956e-05,
    0.00012313207623047124,
    2.5325131727369093e-05,
    9.167366573068555e-05,
    0.0001517254191924146,
    6.632978428522247e-05,
    9.017529934855496e-05,
    0.00010552008306359415,
    0.00013320321077544775,
    6.419488850774968e-05,
    2.4476447795618776e-05,
    0.00013480827839818332,
    0.0001562481323358721,
    0.000104421932920753,
    3.930144563230118e-05,
    0.00012644336027779236,
    5.736299730302972e-05,
    2.9009355911525003e-05,
    2.225533498817787e-06,
    0.0002071381877090151,
    0.00017114430361234325,
    0.0001551821856599846,
    4.649695485922937e-05,
    0.00017494850740770352,
    6.701128903703606e-05,
    5.653953242455002e-05,
    1.7284102317450505e-05,
    0.000192956559597855,
    4.754582954779168e-05,
    6.483478427701412e-05,
    8.343404751559032e-06,
    6.987445946116278e-05,
    9.944897993761714e-06,
    1.6277390334056676e-05,
    3.154844805904478e-05,
    0.00010978437306607932,
    0.0001070103048068094,
    9.849680655258863e-05,
    8.061954376170395e-05,
    0.00017697734492281165,
    0.00013034085855486016,
    0.00010570489253655113,
    2.879541625468394e-05,
    0.0001090056877634277,
    7.993144972796673e-05,
    0.00011055575047757307,
    1.9747796434904045e-05,
    0.0001431205428591797,
    3.456004524032312e-05,
    4.762392461329353e-05,
    1.491051224412569e-06,
    0.00021896987014298402,
    9.171027672674245e-05,
    0.0001992472910829143,
    2.242393966655335e-05,
    0.00029465917670125303,
    5.524024684623454e-05,
    0.0001475003231748837,
    2.2550085804132397e-05,
    0.00014365524633170194,
    1.009753769092009e-05,
    6.656535384082662e-05,
    1.4235402178939845e-07,
    9.158179470895521e-05,
    2.3006111382502987e-06,
    6.160117947543905e-05,
    2.6257970479456345e-05,
    0.00010359048926541645,
    9.744822333696908e-05,
    7.041283969432852e-05,
    1.4408685756558643e-05,
    0.00011702803453998412,
    4.0104046560791214e-05,
    1.879390777569941e-05,
    5.815376988630947e-07,
    0.00010260923904486121,
    2.5654527370224766e-05,
    2.5662164878245753e-05,
    2.0727093565478453e-07,
    4.147603225319983e-05,
    2.185993411363059e-06,
    6.587064710029644e-07,
    3.218343260575879e-06,
    0.00014955843894477885,
    1.7531304416907764e-05,
    3.60569092531605e-05,
    7.694264164627212e-07,
    6.851850541601728e-05,
    1.0671514045624318e-05,
    1.3006118513226768e-05,
    2.3700159613457952e-05,
    3.7320887770728345e-05,
    1.1774256046793364e-06,
    5.520415563320784e-06,
    1.7569609624228079e-06,
    9.389573249756767e-06,
    7.982446055231723e-06,
    2.3404816477722076e-05,
    3.471227965765306e-05,
    1.811488785909902e-05,
    2.5500622252065753e-06,
    2.2845593446848016e-06,
    7.382601868561215e-05,
    1.2252495536989246e-06,
    7.475828872147496e-05,
    4.6693702324680104e-05,
    0.0001792684305795418,
    7.437439246369326e-07,
    5.417994495515856e-05,
    4.470260165837919e-05,
    0.0001912613181246115,
    4.2832144408210744e-05,
    0.0001594804599582145,
    0.00011662891167864411,
    0.00018263192919325158,
    6.279714076737906e-06,
    5.7075667792504174e-05,
    6.286467908026992e-05,
    0.00018236238785923576,
    6.7253801172109e-05,
    0.00017683834632270298,
    0.000180622824136305,
    0.0002096547235564189,
    4.0478163438036936e-05,
    0.00010601316403840753,
    0.00013509203294123306,
    0.0001449169086859649,
    0.00011917673859654783,
    0.0001158217384051424,
    0.00016002701308726915,
    0.00010643596549410274,
    1.0124982201886545e-06,
    0.00010381147106329587,
    4.598614774162983e-05,
    0.00024018249754819364,
    5.035402384666688e-05,
    0.0002311094477261151,
    0.00010817874390261577,
    0.00020016362434759015,
    5.26256071980186e-05,
    0.0002716820186571572,
    0.00015716707526993335,
    0.0003235571065653943,
    0.00014263599509350153,
    0.0002657849086849369,
    0.0001243695728053028,
    0.0001830601162111379,
    5.1621487746820274e-05,
    0.00017600478543343157,
    0.00014922671811615126,
    0.00020401467396915265,
    0.00015242583188821498,
    0.000194229187648606,
    0.00015058938058566776,
    0.0001416231309094343,
    0.00011821895850957098,
    0.0001500154615873878,
    0.0001490802939471094,
    0.00013193301956949743,
    0.00013311259863685933,
    0.0001143288864414534,
    0.00010486565898574529,
    2.6470676850439746e-05,
    5.621246399272846e-06,
    8.901333582460391e-05,
    8.458069892619446e-05,
    0.0002615776890342753,
    0.00012414579547660875,
    0.0003074046674583322,
    0.00026895917373707284,
    0.00034058637807421206,
    5.92806174761351e-05,
    0.0001730335435534063,
    0.00019725097542671127,
    0.0002335523761141456,
    0.00022647031034889558,
    0.00024753081575455384,
    0.0002565900377781571,
    0.00020968446014534874,
    6.828332722742102e-05,
    0.00014841840777793283,
    0.00022955544215384058,
    0.0002017364919987632,
    0.00027327799207492996,
    0.00022276404584034007,
    0.00035715517467307115,
    0.000189954530395714,
    0.00011475684299246203,
    8.825452003589434e-05,
    0.0001751165049509914,
    8.418396434899663e-05,
    0.00017497185388028687,
    7.793399786980424e-05,
    0.00017683663868276053,
    2.0780549835447786e-05,
    8.270575144071545e-05,
    0.0002776751487188005,
    0.00019232305770388626,
    0.0002880069784568771,
    0.00024512145686837804,
    0.00035073831421075747,
    0.00021005638063700195,
    0.0002255247891118002,
    0.000186338982628621,
    0.0002870676679795536,
    0.0002122905932921619,
    0.0002287859932013468,
    0.00023995944353587945,
    0.0002502068445855865,
    0.0001650536215991533,
    7.788015349008076e-05,
    0.00016458981611646743,
    0.00015285869573370897,
    0.00018627963757712813,
    0.00012559086837755055,
    0.00021669819359704522,
    0.00014690166525810146,
    0.00015341370507156375,
    3.845153476251854e-05,
    0.00011217468120669165,
    6.843035938009274e-05,
    0.00011246638119933343,
    1.7632629794712797e-05,
    0.00011304596872832176,
    1.3397222842301922e-05,
    2.7975591955421586e-05,
    1.6848164751669013e-07,
    7.62080191270794e-06,
    0.00013234475322440183,
    7.362551991100445e-05,
    0.0002583006074538138,
    0.00011651950731711338,
    0.00036782030468344946,
    0.00018957686145264221,
    0.0002731275334357002,
    7.50444194702063e-05,
    0.0002451472751757833,
    0.000184333621941612,
    0.00024284716799638872,
    0.00022665866470979022,
    0.0003008217470448252,
    0.00018839305187806215,
    0.00017665894427496104,
    8.364967405595585e-05,
    0.00020130270795043958,
    0.0001946694088677638,
    0.00018634485791895708,
    0.0003151616166055973,
    0.00029328864121798377,
    0.0002769995615535494,
    0.0001562172067449745,
    0.00014387011500274739,
    0.00012373904516138317,
    0.00014200699936481236,
    7.242208539849143e-05,
    0.0002126001640531221,
    0.00010057958364449183,
    0.00012790347387775812,
    1.662403494362259e-05,
    8.463121558313183e-05,
    0.0003589689016358695,
    0.00016160921476864214,
    0.0002725152581420603,
    0.00022157384432800627,
    0.00038989822345164105,
    0.0001437588152703951,
    0.00016709965531703705,
    0.00021592850982393637,
    0.00039770626489438063,
    0.00018860943874312637,
    0.00022221242178123416,
    0.00023834974776197325,
    0.0002846351796761706,
    0.00011738891451285765,
    5.24455186784651e-05,
    0.0001787542315337817,
    0.00021043502300150196,
    0.00014645185417212222,
    0.00011315572310138133,
    0.00024003769939029112,
    0.0001807031301053014,
    0.00011089227950347404,
    2.6091666059242348e-05,
    0.0001438721025778063,
    9.979038241235855e-05,
    8.374213006536435e-05,
    1.6274221831170153e-05,
    0.00013232218508468451,
    2.0228293092565307e-05,
    1.4616227562221698e-05,
    2.2409202427383793e-06,
    0.0001310882001564019,
    0.00032834828746854485,
    0.0002741458520018621,
    0.0003152562329251786,
    0.00046985808167752886,
    0.0005336645471017085,
    0.0003965110638244441,
    0.00028752620642230267,
    0.0002352729510235928,
    0.0002567825374135169,
    0.00024064933847890905,
    0.00016569160465930018,
    0.00037995042717483,
    0.00025970713118050155,
    0.00022842636770467446,
    6.19623862651837e-05,
    0.00022309440265188738,
    0.00015333883283718443,
    0.00023869864369311194,
    9.416488212179693e-05,
    0.0004473363513192782,
    0.00017392338734570896,
    0.00027560744087122097,
    3.7871227902973915e-05,
    0.00013732458923216732,
    4.308970236474689e-05,
    9.49193489741901e-05,
    1.071427079197983e-05,
    0.00016241695490136599,
    5.180530733161986e-06,
    3.7695638211595304e-05,
    5.455519708454451e-06,
    0.0002532022916455045,
    0.00036560575110877383,
    0.00020048537448974843,
    0.00018386893245597938,
    0.0003403853031859253,
    0.000334987423307038,
    0.00015834418119874764,
    5.76684947044435e-05,
    0.00023871981184884274,
    0.00023168505320870784,
    0.00013940487169829957,
    5.379564105480516e-05,
    0.000222545874592404,
    0.00010482134294645702,
    3.759574237828473e-05,
    5.560916739125353e-06,
    0.00017325254615602314,
    8.57495357386707e-05,
    9.486571394561345e-05,
    1.1468033526710777e-05,
    0.00018113404094124988,
    2.894424817060825e-05,
    2.336101566726464e-05,
    1.8846882310534171e-07,
    7.693506739010338e-05,
    3.895535713090227e-06,
    1.2159784189521914e-05,
    1.0927289922948586e-05,
    1.9681576500181116e-05,
    3.4377667605207593e-06,
    2.1048634608620216e-06,
    1.906452192349515e-06,
    3.434221927628853e-06,
    4.119767887284238e-05,
    2.905708202123587e-05,
    0.00014489794951252314,
    3.0605057561856997e-05,
    0.00010055662724700997,
    6.252300016595697e-05,
    0.00012218466022426643,
    2.811714151392608e-05,
    0.00011206183353493888,
    0.00010167145147093527,
    0.0001875147539560838,
    7.643651003164482e-05,
    9.929910704086105e-05,
    8.224773342916621e-05,
    0.00012477999033258107,
    6.2272293365797e-05,
    0.00017588272553390366,
    0.0002495141604170973,
    0.0003500819156689387,
    0.00016197684378675337,
    0.00018262698934140494,
    0.00030096315031933826,
    0.0002726524560152887,
    0.00013404485189001854,
    0.0001543906759659605,
    0.0002864099786527535,
    0.00026521547782870083,
    0.00015316676306584238,
    0.0001230871056669449,
    0.0002490471207473588,
    0.00011357308801465983,
    3.2560175594374504e-05,
    0.00016486612704045002,
    8.7094754859468e-05,
    0.00019894102104589425,
    7.552088106368392e-05,
    0.00012119010397625416,
    6.474087880986602e-05,
    0.00011451743647537546,
    0.0001163216611363642,
    0.00022970438020111035,
    0.00014473603502018705,
    0.00024562202096695324,
    9.323247440560175e-05,
    0.00013502192619540431,
    8.78528421967239e-05,
    5.542932198850318e-05,
    0.00018490471952124673,
    0.00025632597631753865,
    0.0002719615185099035,
    0.0003158035247122205,
    0.0001595449198247052,
    0.0001698372406916813,
    0.00018296448956612658,
    0.00011611638845423037,
    0.00020354087106238668,
    0.00020341244807599998,
    0.00026952539063004974,
    0.00015803089040591418,
    0.00014228379206907485,
    5.965792693518788e-05,
    8.35389890826011e-05,
    4.0121617542443076e-05,
    4.3175308623930956e-05,
    0.00013378137828453792,
    0.00013922579185354138,
    0.00021236721833842504,
    0.00013469599563535302,
    0.00015633231353432399,
    0.00015696117885365541,
    0.00016333771144355977,
    0.0001038774812898988,
    0.00011573320311153521,
    0.00016933523466452745,
    0.0001780745963145514,
    0.00012686679864610156,
    0.0001130666255420196,
    0.00014137046101269187,
    5.734034165353879e-05,
    0.00020001146742445962,
    0.00019016036772643796,
    0.00041860111172532647,
    0.0003020865146053644,
    0.00027571517451165225,
    0.000185896869949695,
    0.00039235855034330574,
    0.000164688210448914,
    0.0001577401715843019,
    0.00010594321454792778,
    0.0003174407366292464,
    9.29800227730218e-05,
    0.0001697518070615955,
    4.081462023699228e-05,
    0.0001741962301002216,
    3.904341680860358e-05,
    0.00011608317570685189,
    0.00017195406345136896,
    0.00012777062705404915,
    0.0001743233708280475,
    0.00011393257884854919,
    0.00013888379538716164,
    9.761755622938716e-05,
    4.8597250961425885e-05,
    0.00012803710471379323,
    0.00015148739570354814,
    0.00015816933276232613,
    8.805871447166009e-05,
    0.00011240718099380353,
    5.2597006031374196e-05,
    4.052520553335949e-05,
    7.262247090059593e-06,
    0.00021910890832071826,
    0.00017267402796504257,
    0.0002595931149649274,
    0.00011152985678310645,
    0.00016782691610206236,
    7.019639553584974e-05,
    9.502500460477795e-05,
    4.563822885025511e-05,
    0.00015661207337571388,
    4.1873109494778665e-05,
    0.00012234048106897323,
    3.1651428816778296e-05,
    5.387107073817703e-05,
    5.245462463347845e-06,
    2.6381756564500403e-05,
    4.199018391238892e-05,
    4.877463214186296e-05,
    0.00019070746002992502,
    0.00011283490014056825,
    0.00020053683685732825,
    0.0001235607091271944,
    0.0001796750509296224,
    0.00010922993205450895,
    0.00014400638689572728,
    0.0001320559205381433,
    0.00018990593653909932,
    0.00015260262375755258,
    0.00019636919102354911,
    0.00012978263832283982,
    0.00014443554130477606,
    0.00012339515190019684,
    6.497748092744214e-05,
    0.00028068088907757876,
    0.00033919359132645373,
    0.00038103351229924266,
    0.00034675658356195206,
    0.0003462485688098495,
    0.00027474649374225826,
    0.00035759555201734285,
    0.00019577616839812855,
    0.0002517619977143089,
    0.00019494511614356105,
    0.0003020724449563766,
    0.00012579303083239368,
    0.00022604652344525018,
    7.712858896787043e-05,
    0.0001737047653575022,
    7.352954434824285e-05,
    0.00012750567654361966,
    0.00024277886792239004,
    0.00010350432413351905,
    0.00016647745798819202,
    0.00010196526482866398,
    0.00014576470602520338,
    7.503190353105708e-05,
    4.201379678752739e-05,
    0.00016998613247360254,
    0.0002295727203191447,
    0.0001427582849703527,
    9.34875407748609e-05,
    0.00011480218135072388,
    6.571331704779467e-05,
    3.283538273271735e-05,
    7.849123045143719e-06,
    0.00028825486453703094,
    0.00028543406043724434,
    0.0002308004904397088,
    0.00013487321152927742,
    0.00019222869829265112,
    0.00010530434910508422,
    8.110143124540493e-05,
    5.807053052980212e-05,
    0.00022551959373146304,
    9.189872493590573e-05,
    0.00010655862256604908,
    5.063173957373751e-05,
    7.090222809914955e-05,
    1.914558157207625e-05,
    2.2338604775528964e-05,
    6.662130733988981e-05,
    0.00016159059025151447,
    0.00020861521867316968,
    0.00018170331244370312,
    0.00018918104230829862,
    0.00020901059389052994,
    0.0001943638006324215,
    0.000162712245481771,
    7.106899779341806e-05,
    0.00014586519858887314,
    0.0001303151674322637,
    0.0001689903689399096,
    5.93319033802343e-05,
    0.00015138255185218164,
    5.22292609141204e-05,
    6.633430129536522e-05,
    1.0145506898026119e-05,
    0.00033124402701754344,
    0.000199791389384061,
    0.00036404811535388905,
    0.00011412421355117087,
    0.0003614705917329147,
    0.00012339709037245187,
    0.0002647648063040679,
    0.00010891934601567529,
    0.00018767224897384138,
    2.8842056991133546e-05,
    0.00013619081423725987,
    1.589421305016879e-05,
    0.00010704021958694142,
    9.004238393109976e-06,
    9.957294295455797e-05,
    7.240811292673859e-05,
    0.00013731390150493997,
    0.00016179009206176273,
    0.00010570306649041733,
    4.69854094261592e-05,
    0.00011329629090685773,
    5.933055740134369e-05,
    2.5687131924958374e-05,
    4.235281744208179e-06,
    0.00012303478207856811,
    5.462946117225934e-05,
    4.743020401660383e-05,
    6.632971642968496e-06,
    4.1734537915685895e-05,
    5.858088736230371e-06,
    1.9060185265000068e-06,
    6.913143421679024e-06,
    0.00020204515498527546,
    5.627617171014124e-05,
    7.790993108043815e-05,
    2.141072010699026e-05,
    8.038756614761037e-05,
    2.9044841827841467e-05,
    2.447875012873886e-05,
    7.153672421896305e-05,
    5.314048034229144e-05,
    1.0730247842073497e-06,
    1.9927912026318624e-05,
    2.318902486777279e-05,
    9.377710680196922e-06,
    1.4116478660080557e-05,
    2.69565569705278e-05,
    8.157600903870723e-05,
    2.232812209475379e-06,
    6.138853133667757e-05,
    4.8796820849578425e-05,
    0.00016666997963193285,
    8.924520192686542e-05,
    0.0002586608686686391,
    0.00016048132463693837,
    0.0002414537686811291,
    5.103400262490834e-05,
    0.00016171889448571703,
    0.0001516706610001724,
    0.0002045416917274719,
    0.00021947010984434338,
    0.00027593881917608773,
    0.00021284256930904872,
    0.00022587363763837317,
    4.7889573746639474e-05,
    0.00011038177269828211,
    0.0001371168306085026,
    0.00013484611148510938,
    0.00021668585284923645,
    0.0001954618194772505,
    0.00024052429159959098,
    0.00014967095777964468,
    9.681655330810062e-05,
    8.564357610860072e-05,
    0.00013614303583622865,
    8.200078028965948e-05,
    0.00017065994164545468,
    9.41499811947325e-05,
    0.00016028616842668697,
    2.7082171480153393e-05,
    5.3850103579665815e-05,
    0.00021640116054782248,
    0.00012274665645647202,
    0.0002043215856402543,
    0.00020556585069017762,
    0.00031778838376280913,
    0.0001487976602861431,
    0.0001878471938008825,
    0.00018888199751614999,
    0.00031381424526622155,
    0.00018197317880796647,
    0.00021971136333360293,
    0.00027599790921792284,
    0.000302139427293173,
    0.00016354753555520272,
    9.017295650867723e-05,
    0.00011619573448529554,
    0.00012095150586497488,
    0.0001215448715209518,
    9.615522844670058e-05,
    0.00018069021369339082,
    0.00013023122152144623,
    0.0001218437581157145,
    3.0342779971520644e-05,
    0.00012036041490448591,
    8.476329895809968e-05,
    0.00010263325303401742,
    1.7987076563367732e-05,
    0.00012993894529633,
    2.065967215645465e-05,
    2.924891953270545e-05,
    7.616938027490954e-07,
    8.364902760572954e-05,
    0.00019025598744031727,
    0.00021244974727530975,
    0.00022731687996657246,
    0.0004126568291299553,
    0.00041398866346799263,
    0.0003952808128742863,
    0.0003130227553710682,
    0.00020343958563075518,
    0.0002009550248117648,
    0.0002530003543863963,
    0.00018418582122034958,
    0.000409940120407278,
    0.0002848524951036865,
    0.00033014298022144683,
    0.00012495906357205157,
    0.00014699436572577584,
    9.778529030468181e-05,
    0.00020110697926229814,
    8.767732364425997e-05,
    0.00034344675971491984,
    0.00014499495886285965,
    0.0002897872374421746,
    5.045250550144782e-05,
    0.00010752923129928495,
    4.473870906234193e-05,
    0.00011881646358156232,
    8.660671387085096e-06,
    0.00015291106264353024,
    8.984372004323314e-06,
    7.138988055801586e-05,
    8.27342008637475e-07,
    0.00020061896474188784,
    0.00023660167466021798,
    0.00017798066903936408,
    0.00016138586253873559,
    0.000352054403394198,
    0.00030498735698427905,
    0.00020476012250887038,
    9.000518501577104e-05,
    0.00025004510218510923,
    0.00021179327766335755,
    0.00017773971372099257,
    7.092308750936653e-05,
    0.0002920257702379609,
    0.00013638425617973297,
    8.654717218499477e-05,
    3.4485761214447005e-05,
    0.00012485796599367115,
    6.0919850544380183e-05,
    9.649589615978396e-05,
    1.087036115332085e-05,
    0.0001556821106243045,
    2.212703523937703e-05,
    3.811349598460125e-05,
    2.8778786806728637e-06,
    7.815216002470457e-05,
    3.8088153085130507e-06,
    1.8055722527661903e-05,
    2.949205581852368e-06,
    2.5121970134562052e-05,
    1.8915498817792314e-06,
    1.6776148968103762e-06,
    4.195497014223497e-06,
    8.520529008996923e-05,
    0.0002435889456745666,
    0.0001662880672062719,
    0.0001957798179007641,
    0.0003700690139317473,
    0.000445724535287473,
    0.00024833233871503555,
    0.000205192251608922,
    0.00020498604567799979,
    0.0002451476723688349,
    0.000187012584006739,
    0.00015236410187834966,
    0.0003796368604294256,
    0.0003025119772880283,
    0.00020985016479488038,
    7.430107673402276e-05,
    0.00015627024177854854,
    0.00012773405612779044,
    0.00014195018896874867,
    6.736360553139438e-05,
    0.00036611784862875153,
    0.00016289451906120736,
    0.00018353443022486103,
    2.468564144944934e-05,
    0.00011089418170428074,
    5.141038977396248e-05,
    7.136586920521467e-05,
    9.580607675673881e-06,
    0.00016175437746523367,
    1.08957028648643e-05,
    3.282903931418324e-05,
    1.9412426295646204e-06,
    0.00018879395282658896,
    0.00029569131033963214,
    0.00013530975108721102,
    0.00013373948565243338,
    0.00030186363458145014,
    0.000303136407776976,
    0.00012486764161496368,
    4.384075654437163e-05,
    0.00024806967421455676,
    0.00025803331305070766,
    0.00012638322776991617,
    4.9444928145859936e-05,
    0.00026824506188617003,
    0.00013942474730162637,
    4.074366097206725e-05,
    9.958102782247921e-06,
    0.00012623640703392347,
    7.947351509402814e-05,
    6.542822520907155e-05,
    7.587679569122082e-06,
    0.00015742994956189255,
    2.552596669712305e-05,
    1.588848087455666e-05,
    4.590207463818687e-08,
    8.218476108313225e-05,
    6.428879263576435e-06,
    1.0539638959620757e-05,
    9.334531450839619e-06,
    2.6545206933456238e-05,
    8.040786596676091e-07,
    1.3609001341992582e-06,
    2.656750287738221e-06,
    0.00027033361281677436,
    0.00026460782589175487,
    0.0002409344625145715,
    0.0001519784440954251,
    0.0006056241279232992,
    0.0003966750574838097,
    0.000324586990654747,
    9.782645438558739e-05,
    0.00026141591528495506,
    0.0001681462584820139,
    0.00016917715586588951,
    3.830644325516179e-05,
    0.00038555642117075545,
    0.00012348876036336046,
    0.00011464761416354183,
    2.242941417845015e-05,
    0.00017191667189736979,
    5.223892632959381e-05,
    0.00010557348474211648,
    6.229275612693603e-06,
    0.00031116962792603693,
    2.591673090175184e-05,
    8.434257284492772e-05,
    1.3460691318603757e-06,
    6.958203271827767e-05,
    3.7113458575714967e-06,
    1.318596618296274e-05,
    1.4257172956309443e-05,
    3.690735192784368e-05,
    6.117637561848366e-06,
    3.729674219186856e-06,
    2.7417451493283694e-06,
    0.00022331953165728288,
    0.0001801660041321862,
    0.00010785325009458694,
    2.6006060295847564e-05,
    0.0002779873066674348,
    0.0001177060542199293,
    4.270877055654058e-05,
    7.669890560244183e-06,
    0.00017385473540598113,
    6.614656652153419e-05,
    2.979405944441508e-05,
    3.223655111907762e-06,
    0.00010569125717486311,
    3.633994403393048e-05,
    5.085433336444617e-06,
    2.5399255834070696e-05,
    7.662945501957157e-05,
    3.5318758885534918e-06,
    6.375037626705685e-06,
    8.026621745632708e-06,
    3.30406086770165e-05,
    1.6054129362671866e-06,
    3.9800441077077214e-07,
    1.4899723988063082e-06,
    6.08080308045887e-06,
    1.6217926704372735e-05,
    8.267580287048718e-06,
    3.773951111460212e-06,
    6.261435808469348e-07,
    7.509756853171365e-07,
    4.749234592029279e-07,
    4.192503287583342e-05,
    3.331947674494583e-05,
    0.00010665023219932043,
    8.465250537113848e-05,
    0.00013464069615335447,
    0.00010759061646608921,
    0.0001292687511650019,
    9.712334572804688e-05,
    0.00012244518012295369,
    0.00010363969101279852,
    0.0001243073356440529,
    0.00012135946506126908,
    0.00015353172302305618,
    0.00014036118348285438,
    0.00013923697320323587,
    0.00012707319506473648,
    6.555060206515727e-05,
    0.00014659976506363028,
    0.0001417852970321962,
    0.0002531494560841269,
    0.00019461225826086982,
    0.00021868404966285092,
    0.00014773335093236307,
    0.00026108271226520357,
    0.00011100800208777949,
    0.00016110553466068601,
    0.00011683653659691444,
    0.0002394016048548425,
    8.123954753354533e-05,
    0.00018504824607244516,
    5.277898563053274e-05,
    0.00015905879493835826,
    5.462225748793527e-05,
    9.145271403450271e-05,
    0.00014444000840241726,
    8.436162664344327e-05,
    0.00013348737530862086,
    9.612575519180821e-05,
    0.00012553219428417366,
    7.850034666584154e-05,
    4.050950377330423e-05,
    0.00014134250991344543,
    0.00017386158237824793,
    0.00012666474634974304,
    7.399026833384435e-05,
    0.00013170971498819832,
    6.761957796039464e-05,
    4.081839043220863e-05,
    1.1334477918699729e-05,
    0.00015941084989506027,
    0.00014196128431008333,
    0.0001767195363887878,
    7.562248736847436e-05,
    0.00014009309573525925,
    5.602970566611109e-05,
    7.080751529885089e-05,
    3.216832277616618e-05,
    0.0001719125743870344,
    5.3207461937434824e-05,
    9.455960387062477e-05,
    3.02204069486819e-05,
    6.521435215454611e-05,
    1.1233514313591015e-05,
    3.0001154068666943e-05,
    6.134213151431342e-05,
    0.00011912474209998517,
    0.00011269223101897061,
    0.0001513414765588659,
    0.00013944520613732247,
    0.000185810514984745,
    0.00014581770715524895,
    0.00015645483527415354,
    6.105747305779188e-05,
    0.00012689093909166232,
    0.00010045176174737959,
    0.0001632262437718201,
    5.100966172383452e-05,
    0.00016525842428816726,
    5.23355786467832e-05,
    7.99895817956597e-05,
    1.608785571842989e-05,
    0.00018568283172995108,
    9.76365760681261e-05,
    0.000260232353012129,
    5.799011912242473e-05,
    0.0002355681514707367,
    5.9962250676616034e-05,
    0.00019753461754742828,
    5.917304111556107e-05,
    0.00013563950584630962,
    1.8750989696971503e-05,
    0.00011656380317858948,
    8.899352436084603e-06,
    8.601030832608294e-05,
    5.0398269882074855e-06,
    0.00010733567743219991,
    7.062077970242437e-05,
    0.00010089822107727917,
    0.00010274326670532962,
    9.963525196129368e-05,
    3.5621373255227944e-05,
    0.00011188843553103654,
    4.6915999829061876e-05,
    3.038794922260512e-05,
    4.691132613710173e-06,
    0.00011535509902636977,
    4.1588788296050684e-05,
    4.846547676249351e-05,
    5.554798483010758e-06,
    4.996804065908378e-05,
    8.335457439086929e-06,
    5.111480467083898e-06,
    1.633368126982566e-05,
    0.00012534117675215133,
    2.3139540407658072e-05,
    5.83963579500567e-05,
    6.328352829888843e-06,
    5.408538614075513e-05,
    7.888591585152503e-06,
    2.4263390391805005e-05,
    4.642305570438492e-05,
    4.027587528764819e-05,
    2.790204771129975e-07,
    1.9858677308678204e-05,
    1.7064863391664784e-05,
    8.973697536502477e-06,
    9.002314948177375e-06,
    4.4736421113245396e-05,
    9.239941554860457e-05,
    0.0001267298124662484,
    0.00015701124760787475,
    0.00010727120227598482,
    0.00011885951825674448,
    0.0001746625020861874,
    0.00015916457623834236,
    0.00011390958333797917,
    4.8679129650434797e-05,
    0.00014317296002020486,
    0.00013662923048278036,
    0.00012866117037026113,
    4.7079429483251915e-05,
    0.00017873584996289007,
    7.09766985773352e-05,
    6.569305100760838e-05,
    1.6669704816820368e-05,
    0.0002437508102405336,
    0.0001566291327855168,
    0.00021637651875223532,
    6.160932664884123e-05,
    0.00029103747976496995,
    9.16055983178081e-05,
    0.0001651968961314208,
    6.17760051843758e-05,
    0.00017856697296840093,
    3.643927482435797e-05,
    9.068776023329721e-05,
    1.2914490955594847e-05,
    0.0001241943200765157,
    1.9941270586198126e-05,
    9.930682841432018e-05,
    9.829899452817683e-05,
    0.00011057319456737113,
    0.00013579625483228807,
    7.894815201198619e-05,
    2.999328657462538e-05,
    0.00010726239283348282,
    5.1117090884036515e-05,
    2.1753138022854003e-05,
    2.6223852864055482e-06,
    0.0001329264509317047,
    6.187829212137622e-05,
    3.488544231384543e-05,
    4.09263944517442e-06,
    5.518776749432294e-05,
    1.3640462687835575e-05,
    2.392798183047617e-06,
    1.2790315994854967e-05,
    0.00015749011216703186,
    4.568660280243213e-05,
    4.657891909133043e-05,
    1.0544157326885138e-05,
    6.717170045101433e-05,
    1.852375140686224e-05,
    1.6339080579768248e-05,
    4.6557318973761095e-05,
    5.7720387512556775e-05,
    5.074957908517222e-06,
    1.1016946192107796e-05,
    2.2673155097987755e-05,
    1.7733782236277947e-05,
    2.4535615487867325e-05,
    3.365433394565395e-05,
    0.00010657555992596471,
    0.0001469132093594821,
    0.00011064054090976352,
    0.00012290564687459946,
    2.713343688649477e-05,
    0.00019023445778208541,
    6.327118985898675e-05,
    6.176098850481569e-05,
    1.0336899225160873e-05,
    0.00011771443838217648,
    2.64784625222213e-05,
    4.358976829925336e-05,
    6.252988262469076e-07,
    7.542531871092605e-05,
    8.909333343091925e-06,
    1.8514094778781024e-05,
    2.1408738771358317e-05,
    0.0001797839625551099,
    2.0503240407996387e-05,
    8.052555634868207e-05,
    4.2221114886260894e-06,
    0.00015801557503494074,
    2.760402342153642e-05,
    0.00011823716707917027,
    9.339671347918885e-05,
    4.1369084177829376e-05,
    8.976084761257988e-07,
    1.717782715568193e-05,
    4.204872444105246e-06,
    3.897638301285674e-05,
    1.518191308614951e-05,
    0.00014353214409093846,
    0.0001328775181987642,
    8.540718165561886e-05,
    2.3432725516551308e-05,
    1.6610447516216662e-05,
    1.6996316865329295e-07,
    3.472412358131589e-05,
    4.758359179670596e-06,
    4.418464501279207e-07,
    4.936315782278804e-06,
    2.9643461906744845e-05,
    3.1188315015404936e-07,
    1.289626077764005e-07,
    2.3869853910272167e-06,
    3.890389486859521e-06,
    1.0172860426987602e-05,
    3.9572612366069175e-06,
    2.841134922392489e-05,
    2.8654481599073928e-05,
    2.080159010443429e-07,
    2.5771895931817605e-06,
    4.993560599163384e-06,
    1.2117859315172177e-05,
    2.347379469448557e-05,
    2.436426574207722e-05,
    6.655510401668309e-05,
    5.328641733467858e-07,
    3.989823781301649e-07,
    9.078057426256542e-06,
    2.7878959810447605e-05,
    1.5160980890978104e-05,
    2.9211015180035846e-05,
    5.280524204431363e-05,
    4.211749323600102e-05,
    7.036777231188405e-05,
    2.18497043120914e-05,
    1.498876636097114e-05,
    3.580411375608938e-06,
    2.9797442686261417e-05,
    5.832745380493748e-06,
    2.4969616582569267e-06,
    6.216915473294501e-05,
    2.8612811073686627e-05,
    3.343719801032176e-06,
    7.468552280626845e-07,
    6.12618506349581e-05,
    1.1572553922408533e-06,
    5.874679655075801e-05,
    4.1022745715851416e-05,
    0.0001501306236441281,
    9.681912707581304e-06,
    8.762442665591494e-06,
    3.3257472989314136e-06,
    5.8888039540572676e-05,
    4.328821408352336e-06,
    5.618247863413341e-05,
    4.695506365185184e-05,
    0.00011789022032002355,
    7.32203858057721e-06,
    4.074801765783076e-05,
    4.0372338199575095e-05,
    0.0001207479376722645,
    4.051874089633418e-05,
    0.00010006411353917796,
    9.789127776257538e-05,
    8.625900039880703e-05,
    4.644785516930479e-05,
    2.932063569565918e-05,
    1.937629143692323e-06,
    9.398093570921979e-05,
    4.6478846747706595e-06,
    0.0001043263456071405,
    4.448044087656261e-05,
    0.0001717778356704106,
    1.2356307374414168e-05,
    0.00013828084423990835,
    5.7171831222864375e-05,
    0.00027094812565681316,
    6.275597780080229e-05,
    0.0002461547550518186,
    0.0001308797483377774,
    0.00021746524631554803,
    3.799958016730365e-06,
    6.911356029331989e-05,
    4.662791777325351e-05,
    0.000172039593534116,
    5.158524038439361e-05,
    0.0001536456172237966,
    0.00010176670299964306,
    0.00011435036918197244,
    4.6126461784013946e-05,
    0.00015314673860185681,
    0.00013141082199437113,
    0.0001691270323243223,
    0.00012018633125058315,
    0.00012765734487377812,
    9.806947989469943e-05,
    7.988829750046466e-05,
    4.035868663197215e-05,
    9.375228900881755e-06,
    3.922180583173178e-06,
    8.368625481291937e-05,
    1.6975183259421045e-05,
    0.00010048873608459091,
    7.999097507286064e-05,
    0.00020863500026923479,
    4.488486487565439e-06,
    6.48977377331439e-05,
    5.863859460932632e-05,
    0.00016707450443588913,
    7.520580220643887e-05,
    0.00017138467591927092,
    0.0001732068533895474,
    0.00017510440612347072,
    6.9458389655849206e-06,
    5.574080507405957e-05,
    6.128162596217158e-05,
    0.000140218083500825,
    7.230082061415978e-05,
    0.00012834222506099668,
    0.0001629395940439537,
    0.00012055936779348655,
    4.385383023080904e-05,
    9.294540836104742e-05,
    0.00012023711444392471,
    8.645684532597037e-05,
    0.0001224359374996465,
    7.362075590362159e-05,
    0.00012868239909285658,
    5.535281944779564e-05,
    1.9880366638019203e-05,
    0.0001358117884004682,
    6.997846552902805e-05,
    0.00023348505954936882,
    9.989823683941302e-05,
    0.00025174606834166047,
    0.0001630889637304731,
    0.00019309536125087322,
    8.81748227410933e-05,
    0.00026553024641049665,
    0.00017772934165763405,
    0.0002701808718177162,
    0.00020494041266437023,
    0.0002477979924128105,
    0.00017532142784675017,
    0.0001603418878563529,
    6.0182729821174016e-05,
    0.00013981646006217796,
    0.00014465246984010527,
    0.000129306694036728,
    0.00015227006761808895,
    0.00011301100861942315,
    0.00012052822873292856,
    7.55431208294347e-05,
    0.00011777195217675278,
    9.566660201128832e-05,
    0.00012235773417567449,
    6.790902024458577e-05,
    0.0001131334635268578,
    5.650363787971353e-05,
    8.306615194042599e-05,
    8.580199858806722e-06,
    3.074670853036815e-05,
    1.7735276852222427e-05,
    4.07885383408953e-06,
    8.449617136725907e-05,
    1.11648480530053e-05,
    0.00013411185343109206,
    5.843500106820429e-05,
    0.00018611711770320986,
    5.367880880011985e-06,
    9.14337847326802e-05,
    5.3887739689822185e-05,
    0.00016854826839301674,
    7.22857020696788e-05,
    0.00022484401322331896,
    0.0001243466829021664,
    0.0001567945448881219,
    5.2532432621693485e-06,
    7.355165927016041e-05,
    6.0465416093716006e-05,
    0.00014969920171066674,
    7.938987046371914e-05,
    0.00017646224692573496,
    0.00012804833643888426,
    0.00010778041861898673,
    5.107690662736082e-05,
    0.0001277312765797989,
    0.00011597197913351995,
    8.777797264841706e-05,
    0.00013745180440563688,
    0.00010369320979633719,
    8.368124457632469e-05,
    4.245769815383971e-05,
    1.1653163276859665e-05,
    0.00016375038829923974,
    5.4581808433128104e-05,
    0.00021052731489086765,
    8.49028868620039e-05,
    0.0003115563978322114,
    0.00011487895959102801,
    0.00015745751062755926,
    8.869532940376936e-05,
    0.00033929441002075874,
    0.0001434574068490226,
    0.0002447419196514846,
    0.00019427320893022405,
    0.0003284335617868558,
    0.00011021347199180904,
    0.00013041513382924707,
    6.333781181564465e-05,
    0.00018119085891257753,
    0.00012762162151589698,
    0.0001312249987095718,
    0.00016184248526721518,
    0.00016613944781279663,
    8.511206457103726e-05,
    6.147246354437127e-05,
    0.00014202070379878395,
    0.00014410339823169073,
    0.0001009043010461917,
    6.112115840373112e-05,
    0.0001320925539612655,
    8.042868957174597e-05,
    4.968115734734158e-05,
    7.59124342566031e-06,
    1.3935609096580943e-05,
    0.00011191341253149011,
    7.359962558121408e-05,
    0.00019236580287954776,
    0.00013532676336735916,
    0.0002868648231208046,
    0.0001995834136644215,
    0.00019892726115619777,
    7.632933129222729e-05,
    0.0001803359243752167,
    0.00014104097101684437,
    0.0001355480485116273,
    0.000220229713028091,
    0.00020800942864788972,
    0.00015222645704342046,
    0.00010367474892878639,
    6.873571088009262e-05,
    0.0001162703964642534,
    0.00014431528517597675,
    7.747185487982119e-05,
    0.0001997331655862486,
    0.0001014789969364562,
    0.00015465283358736097,
    4.916830504094555e-05,
    0.00011702933719632127,
    5.6503266514926296e-05,
    8.263263036623393e-05,
    1.815202721624485e-05,
    0.00013097573722076103,
    2.9029934843620188e-05,
    6.511395871716514e-05,
    6.2577415368069845e-06,
    0.00010201560548381233,
    0.0002747124188604136,
    0.00014622351706266594,
    0.0001769455776993512,
    0.00023430008168205232,
    0.00027046581053134956,
    0.0001284272916247665,
    9.993551989639457e-05,
    0.0002002157300340837,
    0.00025711860198207625,
    0.00013574437255847022,
    0.00011681762827110685,
    0.00021415785583307184,
    0.00017059412349097503,
    8.909702406595695e-05,
    2.4711291799321872e-05,
    0.00014175980041115802,
    7.646313403906625e-05,
    9.54330569409762e-05,
    3.028853642593228e-05,
    0.0001423207165162355,
    5.208182039355692e-05,
    5.927223013896841e-05,
    5.2735983364128325e-06,
    9.656655801794425e-05,
    2.041648663649995e-05,
    4.267712527772177e-05,
    7.263847744156725e-06,
    7.129172258859248e-05,
    2.3956783362723617e-06,
    6.224822318018262e-06,
    1.493405368454935e-05,
    2.692389853338177e-05,
    1.758199632065647e-06,
    1.9412081676480324e-07,
    5.779708747831454e-05,
    1.1971198492729494e-06,
    4.974869568042123e-05,
    3.3171523384799304e-05,
    0.0001250101266814183,
    1.3186710640879794e-06,
    5.1526115722570545e-05,
    4.254748633962516e-05,
    0.00019000137584759784,
    3.5890913865969976e-05,
    0.00011942366194906267,
    0.00010692088924392983,
    0.00014536056338932196,
    6.1701833014584355e-06,
    8.86613758669514e-05,
    0.00012873502052096323,
    0.0003139631008697046,
    7.769516604608231e-05,
    0.00018818207708729137,
    0.00025559712864219096,
    0.000277666440083543,
    7.359504804397401e-05,
    0.00019467607940439337,
    0.0003134591710369589,
    0.0003378488112156931,
    0.00016882590777634755,
    0.00016937840368097973,
    0.00028887388596710847,
    0.00021132906919205197,
    3.9518294484103766e-06,
    0.00010374981086677254,
    4.0757799789561676e-05,
    0.0002286678270579662,
    4.404152114482723e-05,
    0.00017364636918846543,
    9.650027251673338e-05,
    0.00015002295289057114,
    7.138866025994436e-05,
    0.0003204723390416958,
    0.0002015281911981816,
    0.0004282467791474109,
    0.00013789513673957357,
    0.00022493813748090664,
    0.00013642726898460334,
    0.00017742913113677787,
    0.00011100256361332595,
    0.00033294401533706273,
    0.0003335997460112036,
    0.0004550861021563296,
    0.0002069111701328159,
    0.0002722175550929512,
    0.00025826790831604153,
    0.0002507479730284495,
    0.00029288394869613046,
    0.0003831746023951354,
    0.00046681557507714496,
    0.00042877214135782937,
    0.00022996876178917055,
    0.0002133007725762096,
    0.0002339869073764179,
    0.00011422238060348659,
    2.027551504623816e-06,
    6.10715211520722e-05,
    5.3312454477228136e-05,
    0.00018714472230211854,
    5.9295586422581346e-05,
    0.00014786829643979315,
    0.0001390048155735519,
    0.00015105651324109627,
    4.8352835727795656e-05,
    0.00013877559631912266,
    0.00016762201105916105,
    0.00021297516244103451,
    0.00013307731850520238,
    0.00012329368398458605,
    0.00015031047389164922,
    0.00012634574073319148,
    8.87845573502985e-05,
    0.00017598752580167751,
    0.00033277860949019566,
    0.00028271102528325606,
    0.00023423177953970986,
    0.00018706474847670875,
    0.00037808005346907784,
    0.00021253205959352202,
    0.00018449949781992,
    0.00013757059263511064,
    0.00036910446723992165,
    0.00019078458641332843,
    0.0002115813224054731,
    0.00011065392672009026,
    0.0002920411715113239,
    6.259134761527775e-05,
    6.702526765538783e-05,
    0.00022599136060967226,
    0.00015126651779583485,
    0.00024115807424108246,
    0.00014603899634468547,
    0.00017862524886541741,
    0.00011711589035195436,
    0.0001196011110987851,
    0.00019078569500880085,
    0.00028375338446015873,
    0.0002551910857860394,
    0.000283411364847257,
    0.0001605758731287237,
    0.00015150502331381393,
    0.00013103654576194286,
    5.4226526445510454e-05,
    0.0002556980090368379,
    0.00022848224899725355,
    0.0003541189284746097,
    0.00023317636918434974,
    0.00023733097394416667,
    0.00016925340003155951,
    0.000219610525558956,
    7.326605384451984e-05,
    0.00025843423363243896,
    0.0001492297584280695,
    0.00033523401204346915,
    9.33246710178099e-05,
    0.00018022428968037595,
    4.3386605763403646e-05,
    9.57779935165308e-05,
    1.391254633568003e-05,
    3.1987845288567086e-06,
    8.890509741417142e-05,
    4.6100800723182694e-05,
    0.00018521994964830482,
    5.89340735907311e-05,
    0.00020393089315050148,
    0.0001103992496911464,
    0.00015503462693048178,
    5.952702864686714e-05,
    0.00020521323565161496,
    0.000154078551372007,
    0.00022617002153714635,
    0.0001410443060917158,
    0.00018929015646867504,
    0.0001240271519240329,
    0.00014415253431302567,
    0.00013444869648081807,
    0.00028531885191294157,
    0.00033355253816664036,
    0.0003263871904452971,
    0.0002927853691723213,
    0.0003041402011904689,
    0.0003382476451324289,
    0.00024055885507482134,
    0.0002676548699448504,
    0.00024132117008223634,
    0.0003409959185098245,
    0.0002111758286403932,
    0.0002580823141234672,
    0.00017281772285484228,
    0.0002409303851344445,
    7.548833622793725e-05,
    6.999867875894541e-05,
    0.00030341715049274126,
    0.00012904623256606906,
    0.00022945501858292387,
    0.00014757129694144573,
    0.00025065135718164544,
    9.675237028423009e-05,
    0.00012004883580050689,
    0.000226072767900698,
    0.00041233909927743795,
    0.0002181324840654442,
    0.00027700272187592274,
    0.00017568814145830234,
    0.0002215182508452747,
    0.00010891595721334531,
    5.7507754614539025e-05,
    0.0003310646188303722,
    0.00037307010759281175,
    0.0003239625039225346,
    0.00025637007490945913,
    0.0002826531965475219,
    0.00025789141394537234,
    0.00018636505760976355,
    8.182605916826439e-05,
    0.0003547610066574813,
    0.00025443653299129273,
    0.00027337134350346575,
    9.636581735233932e-05,
    0.00020912443737444264,
    7.798749903314835e-05,
    6.848044399915948e-05,
    1.751845823064315e-05,
    7.029317814564429e-05,
    0.00018623371009546965,
    0.00015314134380833193,
    0.00017531936401100909,
    0.00019226036435101977,
    0.00020189884260114787,
    0.00015371408025287173,
    0.00012130556620732548,
    0.0001586412832341039,
    0.00016365517483359667,
    0.00017231133705982314,
    0.00013529390592986257,
    0.00016782405453510556,
    0.00012399896636135487,
    0.00012966949462053307,
    3.4014933996175116e-05,
    0.0002485732339944773,
    0.0001407881476037785,
    0.0003087084910198871,
    0.00012000666912651402,
    0.00033882389281479836,
    0.00015266060036659985,
    0.0002923846094239122,
    5.3246630779781094e-05,
    0.0002030512286840619,
    6.555929594509828e-05,
    0.00020851806319174788,
    1.5257528963889595e-05,
    0.00020289266164788384,
    2.11103034803822e-05,
    0.00010005654062409809,
    2.609193591736672e-06,
    0.0001780993370610021,
    0.00023309017504563462,
    0.00013451698068371126,
    0.0001244244151688586,
    0.00016499835866264198,
    0.0001529481712906024,
    8.503315167883301e-05,
    2.507045668383452e-05,
    0.00021001986350928717,
    0.00017815981623178892,
    0.00015572115761850082,
    5.3519012733890426e-05,
    0.0001353823024861858,
    5.076393253533544e-05,
    3.192842055876484e-05,
    5.627020291277351e-07,
    0.00024297202189717064,
    9.606889004685013e-05,
    0.0001692528669665344,
    1.958446149561436e-05,
    0.00019410832182424444,
    4.02654465829119e-05,
    5.101018896723236e-05,
    3.7253175588123348e-06,
    0.00015635369251502213,
    1.1292813509980731e-05,
    5.374783914040815e-05,
    6.121669754648676e-07,
    5.269027986387556e-05,
    1.4138110266743296e-07,
    5.783456832693864e-06,
    6.1320897995434945e-06,
    2.123016605648869e-05,
    4.754886684733339e-06,
    2.8254959144866222e-06,
    6.547190600671767e-05,
    1.500168985086491e-05,
    0.00011166714159893036,
    6.941571786709553e-05,
    0.00019912945054793353,
    5.524126396366729e-06,
    7.467163580507426e-05,
    6.23838156823512e-05,
    0.00019169293277487064,
    0.00010687476984252059,
    0.0002497884774018241,
    0.00021115484418697056,
    0.0002509026803896523,
    8.937820546281156e-06,
    4.9566424277151714e-05,
    4.927904787028041e-05,
    0.00012528233624957666,
    7.322870902270167e-05,
    0.00014486404553484394,
    0.00014000183585092518,
    0.00012060490166240109,
    4.6108954483741576e-05,
    0.00010853580887730679,
    0.0001347166511058526,
    0.00011507713131654344,
    0.0001460937613672033,
    0.00010659138671507897,
    0.00014818773295791678,
    7.712228667568681e-05,
    5.246543766438381e-06,
    0.00011204268145750354,
    5.063807648560905e-05,
    0.00019955335573365672,
    0.00010400908122463439,
    0.0003180902279660749,
    0.00015798872594265025,
    0.00022202081293473138,
    0.00010559808584021422,
    0.00035350714895482463,
    0.0002014396095194296,
    0.0003271232915532481,
    0.00031682344944000896,
    0.00043017603850256924,
    0.0002419053552577949,
    0.0002458755808852135,
    4.997808242187245e-05,
    0.0001385362445932126,
    0.00011273092042085376,
    0.0001275645546440324,
    0.00015615861849707958,
    0.0001514932881277755,
    0.00011388437320232897,
    8.722630132957029e-05,
    0.0001458060111376616,
    0.0001547922664955532,
    0.00015273063042676045,
    0.00010232556754605366,
    0.00017077258846758596,
    0.00010111091407907518,
    0.0001041957633021947,
    1.728726256904684e-05,
    1.147431594881786e-05,
    8.619379286508056e-05,
    7.618694039064298e-05,
    0.00018973939352960262,
    0.00017977980546666152,
    0.00030345996113036124,
    0.000276860213362029,
    0.00026952915221543157,
    9.709931908998844e-05,
    0.00019682574452616685,
    0.00020542696726293474,
    0.00019751388977631046,
    0.000344736391635083,
    0.0002774375861273669,
    0.0003209596939605898,
    0.00020605046389443816,
    5.867242944691912e-05,
    0.00010274751630648349,
    0.0001373001898148755,
    8.620256139473941e-05,
    0.0002075453886111763,
    0.00011733301387302557,
    0.00019868611239968432,
    7.851490064511968e-05,
    0.0001192751455652685,
    6.766159817296383e-05,
    0.00012056317755598289,
    4.076518658281913e-05,
    0.00015311268802404906,
    4.625823475608905e-05,
    0.00012448562953762727,
    6.5846389559494574e-06,
    0.00010353365773089404,
    0.00025824732547542935,
    0.00016399588217285227,
    0.00020096412933544636,
    0.00033647830970434455,
    0.0003419887389941125,
    0.00022398489250693865,
    0.00017777632944284308,
    0.00028769783657793335,
    0.00032966983292994685,
    0.0002341894320747163,
    0.00019332226294774025,
    0.00039456183858782253,
    0.0002705660452792338,
    0.0002171920909217175,
    7.943273490375972e-05,
    0.00012871849078204746,
    8.017358612178076e-05,
    9.941159146062418e-05,
    4.561755664002992e-05,
    0.0001612383146354478,
    6.86279991933475e-05,
    9.303108546840979e-05,
    8.504154597115535e-06,
    0.00011812132582525205,
    3.741797358995454e-05,
    7.856542237324466e-05,
    6.8375888471062224e-06,
    0.00010009190025588145,
    3.857585258337135e-06,
    1.824044839058116e-05,
    3.2775893956682513e-06,
    5.932084387477627e-06,
    9.391836608622346e-05,
    5.606418421155775e-05,
    0.00016158783973766166,
    0.0001320344953836994,
    0.00032582173201543943,
    0.00016834731415712252,
    0.00018536734426081642,
    8.361375507989383e-05,
    0.00022077339758709073,
    0.00015542711486196182,
    0.00016849920004227125,
    0.0002912594422473331,
    0.00032646636881231383,
    0.00019477704138822676,
    0.0001583911841797332,
    5.8782302475663054e-05,
    0.0001249867921737645,
    0.00012108678307122144,
    8.340677905257096e-05,
    0.00020302359632580713,
    0.0001441309220949575,
    0.0001287953209851174,
    5.461264659477195e-05,
    0.00013102485273227925,
    9.098671705251433e-05,
    9.421240534367358e-05,
    3.3317599595028894e-05,
    0.0001605735566034557,
    5.847902783752481e-05,
    7.283971868577297e-05,
    6.8844272012018145e-06,
    7.486683336251346e-05,
    0.00026176279807765606,
    0.00011477375240849881,
    0.00015549852697287482,
    0.00025546516246496213,
    0.00036127792896196434,
    0.0001266641196410989,
    0.00011614752373694112,
    0.0002442476599672838,
    0.0003731342970478718,
    0.00015698604616917804,
    0.00015368261979169633,
    0.0003461681174242783,
    0.0003242624192456209,
    0.00012914082874981376,
    4.9355390252413126e-05,
    0.00012297267805579852,
    0.0001062572611418441,
    7.707727363802303e-05,
    4.0774033897447694e-05,
    0.0001593309890553633,
    8.68052940002858e-05,
    5.822476037257832e-05,
    6.210707871111933e-06,
    0.00013292251703745682,
    5.964787982691032e-05,
    5.2122508088102624e-05,
    7.326874891644409e-06,
    0.000110478129087275,
    7.603222497942264e-06,
    9.215486875739883e-06,
    1.0507810265176251e-05,
    9.673384813894145e-05,
    0.0001966756091229326,
    0.0001581340778237804,
    0.00013608176091429902,
    0.00037541428032401093,
    0.00031647612823145453,
    0.0002344819057538739,
    0.0001355180071829257,
    0.00021837813378113087,
    0.00018595678363432435,
    0.00014637412489564906,
    8.38213292209691e-05,
    0.0003516141086163539,
    0.00019141776370490545,
    0.0001681952919060723,
    3.3877710266380156e-05,
    0.0001273664983677749,
    5.3957634411118696e-05,
    8.765987289524707e-05,
    1.5472774472754645e-05,
    0.00021545000888934806,
    4.534196449208064e-05,
    9.903777414383159e-05,
    2.9295975218038576e-06,
    8.999272510099424e-05,
    1.0742506977947633e-05,
    3.690747171983851e-05,
    1.3189939364597821e-05,
    9.360744071333638e-05,
    2.6974818654472844e-06,
    1.152733809970737e-05,
    1.6897662267355008e-05,
    0.00019696613675250374,
    0.00021297664970853746,
    0.00010653412545158927,
    7.252480294163355e-05,
    0.00029826657077026617,
    0.00020079575551444916,
    0.00010356712100386758,
    1.9745982572284578e-05,
    0.0002409111986690686,
    0.00015963081195865674,
    8.964485182952365e-05,
    2.27996640076826e-05,
    0.00023358599246241284,
    7.663636581304524e-05,
    2.977974684878417e-05,
    1.7872570621269327e-06,
    8.340333598279579e-05,
    1.3399501420626926e-05,
    3.005731062453529e-05,
    1.0097530864931187e-05,
    9.041672601083234e-05,
    2.5347857504725445e-06,
    4.558094764096808e-06,
    1.1363487529276613e-05,
    4.2551930655217875e-05,
    9.880127317401276e-06,
    6.60277036799002e-06,
    2.8776268132872998e-05,
    7.535161759296447e-06,
    1.8742604445949487e-05,
    8.396023371545814e-06,
    4.5743577623893265e-06,
    7.83842448529777e-07,
    5.381895533760088e-05,
    4.079011482925449e-05,
    0.0001582686790310785,
    6.0540105630010415e-05,
    0.0001693826475345476,
    0.00012555450506765363,
    0.00015690395029531587,
    5.763442570925876e-05,
    0.00017635168552712814,
    0.0001853773679153954,
    0.00025279649732268223,
    0.00019783241451186827,
    0.00021897392821629248,
    0.00020519722319236594,
    0.0001991378193944639,
    7.940554993370467e-05,
    0.00017475774292454718,
    0.0002827302560013524,
    0.00027321865820786564,
    0.00023540204681448077,
    0.00022218393695705956,
    0.0003404085150130677,
    0.00022580119169155093,
    0.00024411411211550959,
    0.0002281839038630076,
    0.000431442382496065,
    0.00026651451188849343,
    0.0003129171919476239,
    0.00019737227093996918,
    0.00036647195460857285,
    0.00012032510558205685,
    5.293699276789673e-05,
    0.00022185217832584384,
    0.00012311953680126643,
    0.00023683250019133572,
    0.00016623916281886388,
    0.00025664465446119904,
    0.00013323534590691278,
    0.00016375972988073005,
    0.0002438006883871223,
    0.0004154160636173887,
    0.0002800090113773798,
    0.00035285585273834994,
    0.0002808204020457398,
    0.0003040801652967829,
    0.000191936113516021,
    0.00011092695817017527,
    0.0002253730415608193,
    0.0002760940478211985,
    0.0003147427077230009,
    0.0002737000379844626,
    0.00026582195588949203,
    0.00024119943604129906,
    0.00023914518710504827,
    0.00010909622144584913,
    0.0003900305633877028,
    0.0003033903553244986,
    0.0004055004299595377,
    0.00017335028785113072,
    0.00030214369773834475,
    0.00011868130024394002,
    0.00015411682212841936,
    5.891400021364335e-05,
    6.18879543450164e-05,
    0.00014962753283670363,
    0.00016452925032921052,
    0.00018411069541056707,
    0.00022760315672250357,
    0.0002047041041157943,
    0.0001995124860183552,
    0.00015111098120440303,
    0.00019061498593509445,
    0.00017774373186048897,
    0.0002491372721351859,
    0.00018340584716665335,
    0.00026797087838705355,
    0.000171726885072867,
    0.000220275925475509,
    6.709729557429702e-05,
    0.00019514386741223007,
    0.00012309053666953424,
    0.0003087218871730153,
    0.00013658006665180237,
    0.00032304879784459035,
    0.00015251998490067363,
    0.00033181539404082103,
    7.098020893590252e-05,
    0.0002312777530500111,
    9.302459458635725e-05,
    0.0002995844827685855,
    3.9072146678956844e-05,
    0.00025992314973274856,
    3.7043618371265486e-05,
    0.00018716001523304306,
    1.837676860209729e-05,
    0.0001672295571870337,
    0.00021477476676194968,
    0.00015474599586242147,
    0.0001567874030295245,
    0.00022055627536991882,
    0.00019529651816306085,
    0.0001311747992275229,
    4.751814748797078e-05,
    0.0002723796766447901,
    0.00022584532319764352,
    0.0002276227076310226,
    9.45605842027663e-05,
    0.00023105873476886218,
    9.311288796185941e-05,
    7.439577036937822e-05,
    1.2074570717765093e-05,
    0.0002072827320207507,
    0.00010721615919021672,
    0.000196010361256519,
    3.557619624309732e-05,
    0.0002167120758965621,
    5.096524513598413e-05,
    8.717812916986946e-05,
    1.4415630045399506e-05,
    0.000208681940237724,
    2.6771246515796235e-05,
    0.00011144014993059739,
    5.427902645563975e-06,
    9.367715138389646e-05,
    4.6791734389461125e-06,
    4.034576395992897e-05,
    2.8569779707884958e-05,
    5.673569406937766e-05,
    0.00017103180091366212,
    0.00012273330571661826,
    0.00014887973289520276,
    0.00020102720584682396,
    0.0002442657477703204,
    0.00014165760449671563,
    0.00013161650114617638,
    0.0001893724869986713,
    0.0002233400500938694,
    0.00019246612931029963,
    0.00016980312202678687,
    0.0002702389173823103,
    0.00023481272650274768,
    0.00018339222429034977,
    6.975155866319074e-05,
    0.00023270156922333685,
    0.00018160931816876304,
    0.0002719022908977325,
    0.00013869707763641587,
    0.00036562236646476876,
    0.00021055945302150705,
    0.00027431758549852986,
    6.944156844484591e-05,
    0.00029162277412985414,
    0.0001448283577213749,
    0.00024270965618776948,
    4.0462704071164516e-05,
    0.0003125963171094735,
    6.898690154346608e-05,
    0.00014849032388982523,
    2.3273712346551685e-05,
    0.0001505817925014621,
    0.000247832975206376,
    0.00011444567272387336,
    0.00013236219532012847,
    0.0002074658413175101,
    0.0002349743582974943,
    0.00010447640400201974,
    4.0147141774081075e-05,
    0.0002766652209429705,
    0.0002944342625497996,
    0.00017555888799896584,
    8.267791979285684e-05,
    0.0002531583909311672,
    0.00014057980225850683,
    5.7146844864975524e-05,
    1.1867229683782427e-05,
    0.00024172624247440806,
    0.0001654391446258948,
    0.000166307562926735,
    3.815203073575654e-05,
    0.0002489981506338075,
    8.481859673569681e-05,
    6.830033033659484e-05,
    1.537602168828455e-05,
    0.00025866706954900856,
    6.183744329622056e-05,
    7.645553601740367e-05,
    5.790368567996451e-06,
    0.00012255906538613743,
    2.196447700909101e-05,
    2.439487625914617e-05,
    3.203802819553275e-05,
    0.0001596206823239499,
    0.00013935474019807827,
    0.00013702652351994053,
    8.899214687340526e-05,
    0.00027478194197206153,
    0.00017419521939658484,
    0.00014848810134851994,
    3.005453141283637e-05,
    0.0001895300710628888,
    0.0001110526529274964,
    0.00014333780308029974,
    2.3948549635875416e-05,
    0.00023103440757751245,
    5.6030082579384984e-05,
    6.741510771947476e-05,
    2.3699619481566835e-06,
    0.00018366794273239404,
    4.969845141544122e-05,
    0.00014617126986986946,
    5.957500549845053e-06,
    0.000294011331786213,
    3.056868559333768e-05,
    0.00011305472060923757,
    3.993881221660362e-06,
    0.00013793616149599942,
    4.5671901155476906e-06,
    4.196256037100439e-05,
    6.792018855268568e-06,
    0.00010019693062201589,
    6.332968896606306e-07,
    4.033152182332136e-05,
    7.72035583572302e-06,
    0.00014996961015206243,
    0.00011400814973596115,
    8.2295190430607e-05,
    1.4037051989308337e-05,
    0.0001726300166591387,
    5.518111207081134e-05,
    2.4300959274413987e-05,
    1.927433047955879e-08,
    0.0001613431146787018,
    4.262877357343476e-05,
    3.622000521414981e-05,
    2.27209949888889e-08,
    7.90722998875691e-05,
    7.63149223000015e-06,
    1.859068863858199e-06,
    4.410320480157385e-06,
    0.00011090929413724648,
    6.262421081332372e-06,
    1.6811375273223472e-05,
    6.836023955557367e-06,
    6.478100358463129e-05,
    1.7083882558243611e-06,
    6.318217944987474e-06,
    5.9552868339636105e-06,
    2.8174673368861316e-05,
    1.1433938166993782e-05,
    2.849946086900013e-07,
    3.5974314383822613e-06,
    1.042674111604965e-05,
    3.178691194902799e-06,
    1.5609338157598998e-05,
    1.0797137992509067e-05,
    3.070348796721669e-05,
    8.100569586429776e-06,
    2.1174600543607308e-06,
    7.474000334739982e-05,
    7.546483359018867e-06,
    9.955405678714114e-05,
    5.659679089032627e-05,
    0.0001889765628982729,
    2.924712377487659e-06,
    6.772666162455401e-05,
    5.342305137752684e-05,
    0.00018500158624336178,
    6.286607632846969e-05,
    0.00019538183526135753,
    0.00015553248415251455,
    0.00020794003757113969,
    6.671705168137587e-06,
    5.464003953995895e-05,
    5.1652985202661564e-05,
    0.00014243109112507628,
    6.125879530159106e-05,
    0.00014719976894984934,
    0.00012623408292711518,
    0.00012740843600248644,
    4.175325521491497e-05,
    9.927786994315627e-05,
    0.00012481914751292782,
    0.00011999865366110689,
    0.00011052837962591895,
    9.376515241318368e-05,
    0.00012162721631139217,
    7.78585275014398e-05,
    6.7766937651857255e-06,
    0.00012451507839278893,
    4.933930519453143e-05,
    0.00021187250630917616,
    6.860910659196837e-05,
    0.00026752878826186307,
    0.00011635618982670617,
    0.0001851722254466246,
    6.890921505846295e-05,
    0.00028880958506004973,
    0.00015716651506561026,
    0.0003057456633422998,
    0.00017559444117471517,
    0.00031423995975091824,
    0.00014639200136824283,
    0.00019557897201423797,
    4.8688547862117074e-05,
    0.0001574328590271882,
    0.0001160546471946708,
    0.00014923077949872211,
    0.00012971300688088827,
    0.00015667298902286532,
    9.278034574174914e-05,
    9.121747508670261e-05,
    0.00010201114293847406,
    0.00013162465399171416,
    0.0001181507096991367,
    0.00010740846415616072,
    0.00010645690993838209,
    9.376863372806464e-05,
    7.862996036258023e-05,
    1.693419058980613e-05,
    1.0716401726527043e-05,
    9.075627768489584e-05,
    7.537038794376982e-05,
    0.0001974121918298089,
    0.0001233338826244523,
    0.0002710708604011557,
    0.00022539122950622872,
    0.00024952197201501774,
    6.637591218194027e-05,
    0.00015679102820681257,
    0.00017262391304991075,
    0.0001758219583260464,
    0.00022014907687772104,
    0.0002129918484112771,
    0.00023661961623744584,
    0.00017378516402038072,
    5.785332777797131e-05,
    0.00012216507335051566,
    0.00015720132206869502,
    0.00012042200558171522,
    0.0001853961383259253,
    0.00013750598977651222,
    0.00019492654738398213,
    9.947288997495503e-05,
    9.82304727129898e-05,
    6.720921563236757e-05,
    0.00012532512070486515,
    5.506255502206195e-05,
    0.00012159790985378557,
    5.1821312728612324e-05,
    0.00011783374795060954,
    9.00207584639555e-06,
    8.594235352077182e-05,
    0.0002547242762936828,
    0.00015085072947148523,
    0.0002043710163452676,
    0.0002214742276121149,
    0.00029246064247861445,
    0.00015575921094397325,
    0.00015708119788761815,
    0.000173927381093865,
    0.00025036771233791574,
    0.00017383675727576956,
    0.00017894028702516833,
    0.00021798915045984597,
    0.0002110819917536014,
    0.00014556223140932385,
    6.433761165378734e-05,
    0.0001302056176998513,
    0.00011419920874032187,
    0.0001159262428159905,
    7.249304641502742e-05,
    0.00014452261458008489,
    9.42849350266712e-05,
    8.915593962204648e-05,
    1.3802806462082337e-05,
    8.276168307723905e-05,
    4.653994599773482e-05,
    7.63607116386914e-05,
    8.056247243457035e-06,
    8.003817995320991e-05,
    6.130045104405278e-06,
    1.516742858586632e-05,
    2.3463662785543716e-06,
    1.7905763970383227e-05,
    0.00014643077784448852,
    7.578838105378419e-05,
    0.000225653958914734,
    0.00013589039817753465,
    0.00037931075732585405,
    0.00018263834537236425,
    0.0002345481268811346,
    9.471887510440433e-05,
    0.00025604835333151524,
    0.00018907227294718879,
    0.00022348620273053736,
    0.0002569159060983252,
    0.0003207786276527953,
    0.0001939821223006118,
    0.0001721917099525904,
    7.540271283677808e-05,
    0.00016661645582931393,
    0.0001585782633997243,
    0.0001302376196770923,
    0.00022466573661330218,
    0.00019148953566019327,
    0.0001613598394968266,
    8.568792788499235e-05,
    0.00013692961856747674,
    0.00010668822915284621,
    0.00013001474451172773,
    5.804406559751752e-05,
    0.00016222114644940056,
    7.234899979801934e-05,
    9.047871817537224e-05,
    8.192396862562231e-06,
    9.517791463153346e-05,
    0.00035889819675475715,
    0.00013940097255148124,
    0.00022292718449208837,
    0.00022387193913324084,
    0.0003879015050450822,
    0.00011529384804738387,
    0.00013309433650020725,
    0.00022324738148260515,
    0.0004128544512523185,
    0.00017474321926437428,
    0.00021029226099918719,
    0.00025110558451184984,
    0.00030332140699191793,
    0.00011054805128065385,
    5.3855028772594494e-05,
    0.00014580412656332368,
    0.00015887539549320638,
    0.00010382487087971642,
    7.464429900197007e-05,
    0.00016631109148750067,
    0.00012135257139725495,
    6.692644349309369e-05,
    1.0513285575209909e-05,
    0.00011703000965769743,
    7.831919032146033e-05,
    6.717613870815361e-05,
    8.332083642033318e-06,
    9.978381964829942e-05,
    1.1724743776094491e-05,
    9.07556721194389e-06,
    5.767780112809142e-06,
    0.00012724869703601956,
    0.0002684772476792463,
    0.00020943321150181942,
    0.00020192348731279576,
    0.00037726811543400653,
    0.0003808397826801694,
    0.00027283583330246525,
    0.0001812756623218096,
    0.00022128298522665194,
    0.0002070754166565273,
    0.00019173332834769802,
    0.00011555974157104742,
    0.00031762015310373033,
    0.00019710581717745593,
    0.00018271422882748411,
    4.261096199365905e-05,
    0.00016521085891406482,
    8.541976475314407e-05,
    0.00014147805874514742,
    3.8847815880883845e-05,
    0.0002446419178117608,
    7.362026834726901e-05,
    0.00013321574032865708,
    7.854970002702511e-06,
    0.00010101742231312498,
    2.0342594620596095e-05,
    6.229835587158676e-05,
    7.364491360345527e-06,
    0.00010161036193472686,
    2.075034204691602e-06,
    1.54802264075189e-05,
    1.3718560384452962e-05,
    0.00022187727744623582,
    0.00029270974456103435,
    0.00013878132738305148,
    0.00011624071049634016,
    0.0002610057384762652,
    0.00023575670626158377,
    0.00010443168869854943,
    2.9687514823235277e-05,
    0.00021048329895765193,
    0.00018505652889019757,
    0.00011010242551434714,
    3.901039325876894e-05,
    0.0001828793298983391,
    8.092196277672292e-05,
    2.937633599684586e-05,
    2.4382239816316844e-06,
    0.00011247472900252589,
    3.606045568739615e-05,
    5.162876554718029e-05,
    5.21263099203429e-06,
    0.00010356091545684705,
    6.025525741713873e-06,
    7.154696462046276e-06,
    6.09764145412347e-06,
    4.7731409371515325e-05,
    3.4615016780711264e-06,
    5.1269748626515105e-06,
    2.0008625917801796e-05,
    8.661819062896565e-06,
    1.2463802890440136e-05,
    6.983625283053587e-06,
    2.706452431792088e-06,
    1.5167254015873946e-06,
    6.753800072476202e-05,
    4.810768576587081e-05,
    0.00020687078609814104,
    5.1187859107200604e-05,
    0.000165134594200459,
    0.00011900877465082414,
    0.00018437719994872964,
    5.119265844550297e-05,
    0.00017883428464993942,
    0.00018091282713441714,
    0.0002799810568905191,
    0.0001404551170438884,
    0.00017633200771246366,
    0.00016081021211480735,
    0.00018649169496513728,
    8.713398595184861e-05,
    0.00021780633796753687,
    0.0003010151123945375,
    0.00035555805781973946,
    0.00020877764337540896,
    0.0002280090156884383,
    0.0003285461426867188,
    0.0002725760415436799,
    0.00019446356684614465,
    0.00020393365492883987,
    0.00035415608566703147,
    0.0002804474296466349,
    0.00021138472158663534,
    0.00016132164876352475,
    0.0002848307896101974,
    0.00011683945699134387,
    5.474993648811282e-05,
    0.0002514321631573216,
    0.00013234994530230722,
    0.0002766451646551568,
    0.00012114861766539738,
    0.00020160885686921546,
    0.00010128096182197166,
    0.00015133719896586424,
    0.00019536780711552128,
    0.0003888023540634669,
    0.0002434161137139886,
    0.000365653216275771,
    0.00016605951960593036,
    0.0002221041687216351,
    0.00013041994991915551,
    8.986658797897159e-05,
    0.00023143321797550114,
    0.0003105841658125356,
    0.0003001831576130023,
    0.0003144245445771702,
    0.00020353103080687315,
    0.0002160732207468259,
    0.00019288668729357174,
    0.00011259737208166393,
    0.00026337706034789456,
    0.00025438728760360046,
    0.00030001339730348814,
    0.0001697851665045192,
    0.00018502344517451144,
    8.615538594846003e-05,
    9.337740135469888e-05,
    4.161405527987273e-05,
    6.311685486932633e-05,
    0.0001759961665444833,
    0.00017604336155758083,
    0.00022850340974336233,
    0.00017781134730567838,
    0.00019548066086844067,
    0.00018153948393379078,
    0.00017228923775381726,
    0.0001543192704082323,
    0.0001686013595454457,
    0.0002214694646923677,
    0.00019400626511937628,
    0.00017760821786967887,
    0.00014274066972016057,
    0.0001740396625493857,
    6.526077755850702e-05,
    0.00022321330121188816,
    0.0001872467042534092,
    0.00036012464676386536,
    0.00021980883185592642,
    0.0002878715019512755,
    0.00018107268552959953,
    0.000331130092706078,
    0.00010730826679569187,
    0.00018802156024684034,
    0.00010356322320798118,
    0.00028389303086208943,
    6.131341390511461e-05,
    0.00019233811498354448,
    3.851156494698336e-05,
    0.00014711025058144705,
    1.9479770561551393e-05,
    0.0001569789115933165,
    0.00023583955446813555,
    0.00014992655353801576,
    0.0001799224774998815,
    0.00014282121817223094,
    0.00016454766785410155,
    0.00010181012712722229,
    4.9694894749399106e-05,
    0.0001982845526636904,
    0.00021178610883504945,
    0.0001919682187271676,
    0.00010631823163829238,
    0.00014400664734126953,
    7.43567295421549e-05,
    5.020532906504563e-05,
    8.819000620979506e-06,
    0.0002275114316710255,
    0.0001555095059165995,
    0.00021142958762606688,
    6.772716142379028e-05,
    0.000178886038526026,
    6.298521138929192e-05,
    7.27701394148161e-05,
    2.07044667060932e-05,
    0.00016212602564252246,
    3.5837369816331335e-05,
    9.709950078382615e-05,
    1.2871860660485654e-05,
    6.0290801676496915e-05,
    4.107587755985109e-06,
    1.7796243589373736e-05,
    2.512174816888578e-05,
    8.667601110828246e-05,
    0.00027478173689566985,
    0.0001778209985416192,
    0.0002616544954026461,
    0.00020720263441878888,
    0.0002859483113008078,
    0.0001673867823491337,
    0.00018744063597869298,
    0.0002275128176154096,
    0.0002985378840753391,
    0.0002459886562787618,
    0.00024831870134055115,
    0.0002294942096498264,
    0.00022390059409993664,
    0.0001758322184047462,
    8.663282394718178e-05,
    0.00031850328098127637,
    0.00030674059922872996,
    0.0003788049651784806,
    0.0002680521258293828,
    0.00038544271935087135,
    0.00027323045037488253,
    0.00033819662949167225,
    0.0001406141711166849,
    0.0003031886262015545,
    0.00018755191092358352,
    0.0002981788888628253,
    9.023955382106931e-05,
    0.00026865741048384423,
    7.880578330741065e-05,
    0.00015607895485493091,
    4.348400089946155e-05,
    0.0001966123304948045,
    0.00036356583545591706,
    0.0001506664595353512,
    0.00020464239765656894,
    0.0001666687129361897,
    0.00022250011659044714,
    9.542781349283468e-05,
    5.25143984836517e-05,
    0.00029222122185990274,
    0.0003659657475125221,
    0.00020031113802822223,
    0.00013791157308382863,
    0.00018153145350963278,
    0.00012180694381002658,
    4.730261267130141e-05,
    1.3886982960774026e-05,
    0.00030330327098589626,
    0.0002533893551428866,
    0.00021051385197125587,
    9.244915816843894e-05,
    0.000220921331760024,
    0.00010538197752479424,
    7.044638155284845e-05,
    3.2947141399597775e-05,
    0.00024000211598578582,
    8.773111742048621e-05,
    9.348876242574837e-05,
    2.652096458187457e-05,
    8.728183594471617e-05,
    2.082867295174518e-05,
    1.655992523043521e-05,
    4.2547818711200395e-05,
    0.00022402127821263558,
    0.00024133146299652885,
    0.00020953059086268824,
    0.00016620778072574434,
    0.0002753693512831103,
    0.00021744719558589587,
    0.000178447739275715,
    5.775006513755308e-05,
    0.0002249111994577698,
    0.00015427866563573185,
    0.00018772177238944303,
    5.204397329611709e-05,
    0.0002024242562339767,
    6.364771074751437e-05,
    7.13479203962462e-05,
    5.430754076373009e-06,
    0.00028518835997862804,
    0.00011357153525051355,
    0.00024626170190723774,
    3.561001790930101e-05,
    0.0003187049456747151,
    6.593596188331873e-05,
    0.00015877992573630018,
    2.3640321245587017e-05,
    0.00016568490004301522,
    1.1731413070597762e-05,
    7.814615237432039e-05,
    9.156341627591242e-09,
    9.354795084908909e-05,
    9.31956437918414e-07,
    4.462641399682749e-05,
    1.532459849674193e-05,
    0.0001958068873223652,
    0.0001840003639411489,
    0.00011013481523876141,
    3.803690901476899e-05,
    0.00014307052127913043,
    6.737317374730651e-05,
    2.592994551459617e-05,
    1.3475981250998706e-06,
    0.00017438918246144775,
    7.122119272913217e-05,
    5.3511735338261e-05,
    4.064230240356398e-06,
    6.112752477284176e-05,
    8.508821646773938e-06,
    1.732866266524263e-06,
    3.4275867136497738e-06,
    0.000159251566618112,
    2.2281149979970984e-05,
    3.794667812399395e-05,
    1.2628291890600961e-07,
    6.51713403156443e-05,
    7.84718784316573e-06,
    6.543161722539737e-06,
    1.6252282544419233e-05,
    3.7640891620858985e-05,
    2.5644405889174076e-06,
    3.0212491038890165e-06,
    5.952018221344419e-07,
    5.520559352883435e-06,
    5.05988209539616e-06,
    1.0380610082655656e-05,
    2.4830926933122822e-05,
    4.47577979589097e-06,
    7.583877857416674e-05,
    5.618589349879897e-05,
    0.00016164472262468685,
    0.00012640233766114374,
    0.0003035802296772919,
    0.00018623642637251103,
    0.00023091369834241706,
    7.355940210500662e-05,
    0.00018460183121656422,
    0.0001811882735107363,
    0.00020357918209490473,
    0.00028337692265271297,
    0.00031200413290643765,
    0.00025918315336592414,
    0.0002311113851483409,
    4.863648599024474e-05,
    0.0001113002102441824,
    0.00012293299620528417,
    0.00010336180194411732,
    0.00017663473973018754,
    0.0001458941828653444,
    0.0001523538989015908,
    8.994356404354657e-05,
    0.00010518277849872462,
    8.694570006058366e-05,
    0.00013174903727876337,
    6.940001976778415e-05,
    0.00013642754071297266,
    7.169177778667644e-05,
    0.00011621946497241535,
    1.400437672753644e-05,
    6.613121196426008e-05,
    0.0002389527579782194,
    0.00011787928200261458,
    0.00018343459009519518,
    0.0002459337158236076,
    0.00037269194042463934,
    0.00014982168774238424,
    0.0001745642296042173,
    0.0002103688832126111,
    0.00034440086346666706,
    0.00018548946589990337,
    0.0002170250736043409,
    0.0003229192235175905,
    0.0003464743110435083,
    0.0001750115877019926,
    0.00010056009392859651,
    0.00010664396715984413,
    0.00011491741629994306,
    8.813659280415072e-05,
    7.098754160469628e-05,
    0.00014148163734764392,
    0.00010484798429227653,
    7.913611888952439e-05,
    1.4901305048662744e-05,
    0.00010589207814530833,
    7.797432353983377e-05,
    8.250703275794286e-05,
    1.317180381706473e-05,
    0.00010267778268598454,
    1.4377438433536456e-05,
    1.7928801880589024e-05,
    9.72234974622009e-07,
    9.001490932850964e-05,
    0.00017990523809164745,
    0.0001726142963663334,
    0.00015746042032397864,
    0.0003902426278874373,
    0.0003617674757277498,
    0.0003100568905883449,
    0.0002274292800755888,
    0.00020462099288552952,
    0.00017563283936168064,
    0.00020630739178252797,
    0.00013304620972978971,
    0.0003814982662164607,
    0.000240581887077264,
    0.0002865863355427423,
    9.39566120482618e-05,
    0.0001265118117227945,
    7.749446690454118e-05,
    0.00012065607887543424,
    4.737774925500843e-05,
    0.0002228974833595885,
    8.880349807724417e-05,
    0.00015376495352574908,
    1.3845340231537185e-05,
    8.859741450595382e-05,
    3.082913418168691e-05,
    7.874046924610144e-05,
    4.921917219549298e-06,
    0.00010538693146640638,
    2.7290504876639755e-06,
    3.192204687017262e-05,
    2.1037642284464117e-06,
    0.0001829539125490754,
    0.00021478456160831967,
    0.00011978397524945559,
    0.00010822182951753346,
    0.00031685389741346035,
    0.0002662859604459843,
    0.00015290227075882555,
    5.9796714273503836e-05,
    0.00021702490528464346,
    0.00017701230030983697,
    0.00013248182504854082,
    5.375311583721496e-05,
    0.00026030745930884843,
    0.00012174170876678567,
    7.271105881880005e-05,
    2.3527447889637227e-05,
    8.844876124136673e-05,
    3.875307208684382e-05,
    5.227580751537533e-05,
    5.181815506461717e-06,
    0.00010452041519467944,
    8.375463827732146e-06,
    1.3728459054551389e-05,
    1.0997056749528058e-06,
    5.178465447291387e-05,
    2.275074358610736e-06,
    8.875465985384113e-06,
    9.908181502020366e-06,
    1.3294348354403829e-05,
    5.9007582685782644e-06,
    4.963061662467614e-07,
    1.2014910425626694e-07,
    0.00010151553072781922,
    0.00024486541658739504,
    0.00016281586243506116,
    0.00016340054547770428,
    0.0003886323495978057,
    0.00044231960723706797,
    0.00021765281625690778,
    0.00016882752343680567,
    0.00024533279795561723,
    0.0002589834928557012,
    0.00019774717383941814,
    0.00013964145320386937,
    0.00041694694230395244,
    0.00031238406589044026,
    0.00020775325152572673,
    7.025068216162347e-05,
    0.00014513394834120928,
    0.00010131519993893157,
    0.000110438805445561,
    4.191973252303444e-05,
    0.00024872627492975616,
    9.948323607522553e-05,
    0.00010708426638301087,
    7.420842999822954e-06,
    0.00011459531417743398,
    4.283753657700095e-05,
    6.244898912746923e-05,
    5.899747356244823e-06,
    0.00012275979918111759,
    4.632623871350358e-06,
    1.729184846758736e-05,
    7.330305308520901e-06,
    0.00018737024116782878,
    0.00029904621232315745,
    0.00010921164489045969,
    0.00010926667446593289,
    0.0003093260812456959,
    0.00031718170980462267,
    0.00010525889226007515,
    3.555340811186661e-05,
    0.000262921425583974,
    0.00027759165427427543,
    0.00011853922950987707,
    5.2626172077397396e-05,
    0.00028997710159914876,
    0.00017070347935045345,
    4.1866968342352553e-05,
    1.1628319573171616e-05,
    9.891645801881786e-05,
    5.616338282715958e-05,
    4.376157655621479e-05,
    4.320368213160504e-06,
    0.00011466919212725978,
    1.2168618650877e-05,
    7.221283207298289e-06,
    4.057384536712096e-06,
    6.720566027164444e-05,
    4.403995676410675e-06,
    6.958533277815631e-06,
    1.3058495348300378e-05,
    1.7886450926861576e-05,
    3.6628457506045774e-06,
    5.23614172613582e-06,
    2.2209148281617246e-06,
    0.000237097423210149,
    0.0001935621422943948,
    0.0001580689076666183,
    8.636705496665844e-05,
    0.00048033836079136187,
    0.000283491781607907,
    0.0002185446957558331,
    4.841158444544492e-05,
    0.00023576536324153416,
    0.00012417325231580333,
    0.00012343032679691638,
    2.5133652493566493e-05,
    0.0003256082646383642,
    9.281264463274464e-05,
    8.199223594160266e-05,
    8.999285954230235e-06,
    0.00010940079467736267,
    1.926596454146557e-05,
    5.120332863186253e-05,
    8.653524602860559e-06,
    0.00016665350625299458,
    2.525363380627526e-06,
    2.270212684594777e-05,
    6.392045775530051e-06,
    4.49914419480523e-05,
    8.7663907865239e-06,
    7.205953240731038e-06,
    2.488425648838651e-05,
    1.511594553927752e-05,
    1.7842413998651417e-05,
    1.6760350508364959e-06,
    5.371917600386168e-06,
    0.00017635449007298505,
    0.0001309251593944133,
    6.425703993876827e-05,
    1.4353479097129492e-05,
    0.0002219651032245626,
    8.555457494494776e-05,
    2.4239373745527602e-05,
    8.863222946857525e-07,
    0.00014050848471914253,
    5.44898483659676e-05,
    2.1111950082101308e-05,
    4.393468327765456e-06,
    9.227280270965614e-05,
    2.6147344916092722e-05,
    2.298380720757523e-06,
    1.427967244666778e-05,
    3.8532578741697615e-05,
    6.85327434122456e-06,
    4.8389167753227246e-06,
    2.1062881890740324e-05,
    1.1442074278934694e-05,
    7.979700939266672e-06,
    4.795911253256214e-06,
    1.3643436246441038e-06,
    3.633175708399191e-06,
    2.9690083945024673e-05,
    1.6582307554914267e-05,
    6.929677833984894e-06,
    3.9119504986348095e-06,
    5.424964418684337e-06,
    1.138948699005458e-06,
    3.255374645282471e-05,
    5.2923809446762115e-05,
    0.00015727170328771838,
    0.0001416752301814054,
    0.000192477000175656,
    0.00018453867993853144,
    0.00021589846784191748,
    0.00015757718792950618,
    0.00017122335194997155,
    0.00018773590968856017,
    0.0002163035545311565,
    0.00023258676752578304,
    0.00022444938384613285,
    0.0002593640132081065,
    0.00022857750958455567,
    0.0002072958958098779,
    0.00010458435048312528,
    0.00019279543347901733,
    0.00017228711790426385,
    0.00029248427143652574,
    0.0001929088876066808,
    0.00027430843176570404,
    0.00018583190058865223,
    0.0002791445075994858,
    0.00010458359708831275,
    0.00024837715013131123,
    0.0001564601903079162,
    0.00029581272765108284,
    8.674191971674782e-05,
    0.0002556844311472483,
    7.41287613832085e-05,
    0.00017705302615410586,
    5.048862073448545e-05,
    0.0001360715217544288,
    0.00023496938168979673,
    0.0001268189965692382,
    0.00018209387892968853,
    0.00016767695078548624,
    0.00021388331407358485,
    0.00011167296466822606,
    6.424509776002778e-05,
    0.0002539725968630814,
    0.0003071389651122812,
    0.00019904856757224323,
    0.0001362833527111159,
    0.00022480232026919083,
    0.00014752619989826296,
    7.024457011273961e-05,
    3.0218706917941273e-05,
    0.00019904219408749317,
    0.00017410074669114135,
    0.00018563979178608502,
    7.489851921402826e-05,
    0.00018985230133075886,
    8.148216603427342e-05,
    7.687677297824731e-05,
    3.1377985299221615e-05,
    0.00022817720638503244,
    8.195584345757643e-05,
    0.0001095070077218208,
    3.329273058249269e-05,
    0.00010169117570784553,
    2.54918647772406e-05,
    3.505922334069825e-05,
    6.527932765485958e-05,
    0.00016251055210499344,
    0.0001510327539623202,
    0.00017613710596603308,
    0.00013983809821479365,
    0.00026144823450985235,
    0.00019767729359086036,
    0.00018565727370589954,
    6.730235281903687e-05,
    0.0002033280504209064,
    0.00013703340028867477,
    0.00019663199577461593,
    5.787211036459104e-05,
    0.00024445432513542576,
    8.294375296104133e-05,
    0.00010398907546132199,
    1.9107070176708322e-05,
    0.0001949080573064015,
    8.813328931844521e-05,
    0.0002057957111855567,
    3.029966885618392e-05,
    0.00026188150067867137,
    5.453965704152966e-05,
    0.0001522413309911633,
    2.7495298455034318e-05,
    0.000154833798087391,
    1.460104173390253e-05,
    8.946403257665108e-05,
    1.0992609420053325e-06,
    0.00010126762894453311,
    3.950034992835121e-06,
    7.652474081945186e-05,
    3.8390785653613025e-05,
    0.00013915383719957487,
    0.0001351066882939975,
    0.00010108885769435227,
    3.6886642825277694e-05,
    0.00015598892686706552,
    7.494374926779442e-05,
    3.738681240413905e-05,
    5.505864362138426e-06,
    0.00016730770222187782,
    6.928393253810462e-05,
    6.00750475418805e-05,
    7.48853536872477e-06,
    8.740061020212675e-05,
    2.2390779610196496e-05,
    8.979756960196001e-06,
    1.8917569533794893e-05,
    0.00012061543034480663,
    1.7140888683456053e-05,
    3.564475175068124e-05,
    2.369861772017047e-07,
    6.192552251684282e-05,
    8.158048994074977e-06,
    1.3739602414248504e-05,
    2.646040137708181e-05,
    4.032532673429289e-05,
    7.01851699925865e-07,
    7.209085635321012e-06,
    3.837917052933548e-06,
    1.2281677193951871e-05,
    1.0872576419280051e-05,
    3.118183297534381e-05,
    5.897810839830666e-05,
    0.00019483888017454655,
    0.0002168845257972621,
    0.00016746973972795346,
    0.00014235016381554855,
    0.0002997911343194179,
    0.0002528184590012369,
    0.0001657406810211496,
    6.366848276264055e-05,
    0.00027259212237149195,
    0.00021056518607789546,
    0.0001955963720586583,
    6.830803459713798e-05,
    0.000313217990173756,
    0.00013443742517828933,
    0.00010132735228823205,
    2.6849720278939353e-05,
    0.0002599391954429557,
    0.0001333544951017429,
    0.00020417472897477112,
    3.653937792127624e-05,
    0.00033990139846253254,
    8.732299747319485e-05,
    0.0001476038028710709,
    3.237638937086609e-05,
    0.00022198294762063855,
    3.530948516230648e-05,
    8.573786141392132e-05,
    3.7990484460513282e-06,
    0.00016066686177127666,
    1.9495784524565427e-05,
    8.223227318303948e-05,
    5.743838509723325e-05,
    0.0001752806928262346,
    0.00020179475014542818,
    0.00010143235984576733,
    4.122356110833714e-05,
    0.0001863074789802097,
    0.00010438309156737823,
    3.3045018335470945e-05,
    5.134498553368156e-06,
    0.00023090686292375092,
    0.00013125094537262536,
    5.841789720912549e-05,
    1.2766353366298167e-05,
    0.00012213030750930006,
    5.28350797722191e-05,
    7.317233660895079e-06,
    2.3644449401089637e-05,
    0.00016254057186059292,
    4.026664068030139e-05,
    3.678728273358736e-05,
    2.0963664319693105e-06,
    8.948267179532538e-05,
    2.2229444366122837e-05,
    1.3421248182802882e-05,
    3.08384729642657e-05,
    7.04168177069567e-05,
    4.393530930836523e-06,
    6.396404149399716e-06,
    9.953934817320064e-06,
    3.1113082714288176e-05,
    3.131103800413795e-05,
    2.9116457308678437e-05,
    7.880718216039887e-05,
    0.00019095077967967055,
    0.00011261905182366991,
    0.00012290362698537318,
    1.9276295382527357e-05,
    0.0002725884995176214,
    8.026249917239034e-05,
    6.697631569062741e-05,
    4.972060507202436e-06,
    0.00016834624645699827,
    3.4406945831350634e-05,
    4.691855787597492e-05,
    3.6386173834266615e-07,
    0.00012528926159907565,
    1.6022045095070497e-05,
    1.996328076241991e-05,
    1.421502244670224e-05,
    0.000138355663014382,
    8.045767240820042e-06,
    3.600743331324017e-05,
    3.7313361339978152e-06,
    0.00013599041586367247,
    6.699123526162474e-06,
    5.129364966949086e-05,
    1.8516157934258872e-05,
    3.121605157279834e-05,
    9.486929843509866e-06,
    2.059667872188891e-06,
    1.825282976764805e-06,
    3.1732244606237657e-05,
    4.688918504352281e-06,
    6.544033165174922e-05,
    2.9417890073936098e-05,
    0.0001066407703930382,
    2.8872816273966216e-05,
    1.5092735516369106e-05,
    1.9212616721448698e-06,
    5.867388610786274e-05,
    1.0243866849570474e-05,
    1.4636056331054396e-07,
    3.118628950924719e-06,
    4.8049023828441946e-05,
    2.072503377552083e-06,
    2.38533574403607e-07,
    1.773535096188511e-07,
    1.4466802531982118e-05,
    1.698700422471886e-05,
    4.9416261310786354e-06,
    1.9544636539611468e-05,
    1.652613602798615e-05,
    7.0135523713549045e-06,
    1.207254258852524e-06,
    1.4871223840154317e-06,
    9.927420699081085e-06,
    1.020134707767761e-05,
    1.028353450553331e-05,
    1.8615073457110932e-05,
    4.5937030672286974e-07,
    4.253567204100479e-06,
    3.958247469153913e-07,
    2.0052425996188385e-05,
    1.3283246351692287e-05,
    9.495046854662194e-06,
    2.4104550614187693e-05,
    3.2641423115289078e-06,
    1.8793973275241963e-05,
    2.6906078250844073e-06,
    3.3331297692394962e-06,
    6.26936681578873e-05,
    1.9846069111287145e-06,
    7.11547963380398e-05,
    4.992775130768375e-05,
    0.00016968230846254448,
    8.439221153318122e-07,
    4.768599798126161e-05,
    4.143468379924291e-05,
    0.00014590617523491022,
    4.601592525183492e-05,
    0.0001384693079246406,
    0.00011698239375596174,
    0.00015794930097768635,
    5.705343838175567e-06,
    5.0929199651115254e-05,
    5.461970807116975e-05,
    0.0001501102825134179,
    6.737580107266957e-05,
    0.0001559989259202801,
    0.00017481253058603297,
    0.00018012942608113154,
    3.853904816219883e-05,
    9.313818403831166e-05,
    0.00011398228894154759,
    9.93793151559965e-05,
    0.00011651190553348166,
    9.0897318553194e-05,
    0.00014147429143587917,
    8.142900495031088e-05,
    3.146443829866363e-06,
    0.000102601604352824,
    4.971732335561572e-05,
    0.00021491309194606654,
    6.43089291316168e-05,
    0.00023159461989468992,
    0.00012390516155831892,
    0.00019498048161923053,
    6.053990038672128e-05,
    0.0002383484226736443,
    0.00014361979032477125,
    0.0002445890248906953,
    0.00015279117873381165,
    0.0002292397730694151,
    0.00012592409060960467,
    0.00015934393601192982,
    5.447757911584143e-05,
    0.00016520055812531192,
    0.00014773953020493484,
    0.00017144193304880596,
    0.00016824245997422319,
    0.0001850817749408279,
    0.0001546709753976459,
    0.00012900279150115538,
    0.00012391926192879918,
    0.00011976058837703696,
    0.0001298306976540095,
    9.108404245254992e-05,
    0.00013030175223603237,
    8.94994665685743e-05,
    9.742890433332097e-05,
    1.6152350801907627e-05,
    6.637465679936731e-06,
    7.964609149925109e-05,
    7.621341301003967e-05,
    0.00021349910089960976,
    0.00013515882652813307,
    0.00027528776657679676,
    0.0002637488303450908,
    0.00028702408760695433,
    5.841271837707219e-05,
    0.00014436644363983943,
    0.00015645767251313558,
    0.00015792564747072873,
    0.00022404083142715602,
    0.00019628705994491672,
    0.00022355275939290884,
    0.00015490385688039248,
    6.394830458534838e-05,
    0.00012126877018400111,
    0.00019502292349694438,
    0.00014433214202452352,
    0.0002722042059207587,
    0.0001770710055857358,
    0.0003284384202111561,
    0.000143577306143068,
    0.00011227994075895362,
    6.540000576875897e-05,
    0.00013691235425098824,
    5.258626116963145e-05,
    0.00017104959169144898,
    5.573706720061355e-05,
    0.0001530225111740965,
    8.603093366468244e-06,
    9.69486412386397e-05,
    0.0002638895183768169,
    0.00018409862787549002,
    0.00024100436628424367,
    0.00028422802106523943,
    0.00032951939795350686,
    0.00021488858697141014,
    0.0001926263030378996,
    0.00019491975198578754,
    0.00023874248763008796,
    0.00017397271880843337,
    0.0001574301221259997,
    0.00024526260628002125,
    0.00019912701731449666,
    0.00015023863359660112,
    5.132316231500625e-05,
    0.0001709523200663074,
    0.00012124246716363154,
    0.00017011490803301563,
    9.026382794933081e-05,
    0.00023568573929421,
    0.0001225909213712161,
    0.0001504589939576031,
    2.398878939565883e-05,
    0.00011404541931975441,
    4.467436518713374e-05,
    9.417166169714165e-05,
    8.924811113492757e-06,
    0.0001104454471742394,
    6.19188315277344e-06,
    2.1795305220439652e-05,
    1.1656066235092156e-06,
    6.118100319227531e-06,
    0.00010352357071737743,
    6.169429682688707e-05,
    0.0001964039248363806,
    0.00011669294302994821,
    0.00032638733483485107,
    0.00018694067057886717,
    0.00023082528403933078,
    6.374178247444267e-05,
    0.00018508491996492603,
    0.00013770319034534477,
    0.00015329703728035395,
    0.00020746776285969314,
    0.00024070991963185792,
    0.00016492535605519229,
    0.00013742764614283352,
    7.5390189921872e-05,
    0.00016175328596178105,
    0.00016611435374034735,
    0.00012292756910382935,
    0.00029888633640952133,
    0.00023398797316934075,
    0.000237623543045646,
    0.00010900931736163198,
    0.0001327394328248403,
    8.627618677217795e-05,
    9.918623140608494e-05,
    3.704866365525609e-05,
    0.00017826031205869563,
    6.609683248952614e-05,
    9.39006877761432e-05,
    7.492328942321197e-06,
    8.873013289749382e-05,
    0.00030913919177664697,
    0.00014974481626519765,
    0.00020407051172142106,
    0.0002500628927399412,
    0.0003683326069513404,
    0.00015203108812212565,
    0.0001427250550033553,
    0.00020159735766475057,
    0.00029698646927205563,
    0.000144200633295404,
    0.00013902382361140895,
    0.0002301321400861492,
    0.00022973044807287138,
    0.00010828163750322068,
    3.578273057056276e-05,
    0.00018675634370158322,
    0.00016478949869473209,
    0.0001297114102047475,
    7.042438671456727e-05,
    0.0002515988046865568,
    0.00015305541016625895,
    0.00010096662838598655,
    1.3987603823360331e-05,
    0.0001308320106502695,
    5.821104288847971e-05,
    5.8581400003683565e-05,
    9.482301744457373e-06,
    0.00011165271169235146,
    8.539342495515997e-06,
    9.794234099346e-06,
    6.481320560032119e-06,
    0.00011150305877933729,
    0.000239383526413883,
    0.00021039533124157645,
    0.00019969259200900035,
    0.00045603100209986024,
    0.00041716963862901724,
    0.0003390683016218037,
    0.0001978959207261488,
    0.0001905574196799187,
    0.0001675246223712649,
    0.00015037289647884666,
    8.66665444818275e-05,
    0.00032671042853253034,
    0.00018028379916556247,
    0.00017112356530253582,
    2.9824497120983383e-05,
    0.00019071811675454753,
    8.63767037432153e-05,
    0.00017161645686623278,
    4.278305542511079e-05,
    0.0004070981708092211,
    0.00010613793079544021,
    0.00021401815564298365,
    1.2613059215693873e-05,
    0.00011174413951230287,
    1.7294628828191294e-05,
    5.9902935116469965e-05,
    1.2234475621425984e-05,
    0.00013463599763471337,
    1.8917484181229315e-06,
    2.028244771845095e-05,
    1.2407487048742532e-05,
    0.00024703311682517894,
    0.0002767671318200687,
    0.00016102712728169305,
    0.0001130801723398164,
    0.00036479716923573544,
    0.00027346984834468257,
    0.00014175059521716947,
    3.2589783448981006e-05,
    0.00020539283408308565,
    0.000146509553645246,
    9.312235829700057e-05,
    2.2933235548931016e-05,
    0.0002016791613055286,
    6.611104784114332e-05,
    2.6254940136658626e-05,
    9.643232466635644e-07,
    0.00015724535991501644,
    4.165147804736973e-05,
    6.859323733155584e-05,
    8.503524991316677e-06,
    0.00017675354568092707,
    1.246455180801112e-05,
    1.4944439158855797e-05,
    2.2228508323630073e-06,
    5.876717386182597e-05,
    7.540521372358578e-06,
    7.755857128394395e-06,
    2.1107216787653475e-05,
    1.3280608504460277e-05,
    1.0936313931817799e-05,
    4.7896565794368126e-06,
    2.818326078094351e-06,
    9.422971462729394e-07,
    4.216352767951972e-05,
    3.1315629395965184e-05,
    0.00013293403048555538,
    3.659829582251755e-05,
    0.00010931806725355391,
    7.944955785287636e-05,
    0.00011371517450505347,
    3.068422121829811e-05,
    0.00010859145144442945,
    0.00010186743208465807,
    0.0001429127386424739,
    8.827641298461769e-05,
    8.961803895808937e-05,
    8.560619726075797e-05,
    0.00010388019192701289,
    7.45383719292187e-05,
    0.00017382708358881216,
    0.00027768886331089754,
    0.0003047212392232861,
    0.00018849268837059453,
    0.00018137401390744262,
    0.00032663990375136805,
    0.00024751186481701857,
    0.00015849414122099463,
    0.0001382658264249128,
    0.00028495541049006006,
    0.00019661806789690706,
    0.0001561291990776163,
    0.00010617410642245737,
    0.0002379354907758016,
    7.808916405208227e-05,
    4.261056478973391e-05,
    0.00018871086663147793,
    0.00010488661821531481,
    0.00019035473175316067,
    0.00010681913651283765,
    0.00015198829327027748,
    8.622223621692946e-05,
    0.00011663872145306499,
    0.00014608897421588117,
    0.00023538027659112458,
    0.00015322132403230215,
    0.00019906009293559716,
    0.00011240491747026505,
    0.0001335612130238978,
    9.20868073416995e-05,
    4.609904585619396e-05,
    0.0002371499356734937,
    0.0002698579892825057,
    0.0003164726571385315,
    0.0002858902542543838,
    0.00020160545509919956,
    0.00019079843931260685,
    0.00021132728290125893,
    0.00010914441446309725,
    0.00023999442722273494,
    0.00017821582276479264,
    0.0002699304873370745,
    0.00010697985200076441,
    0.0001487703976793961,
    5.1034921261257743e-05,
    8.104275212633986e-05,
    2.4342468700476087e-05,
    4.8583482780274666e-05,
    0.00013476727428626055,
    0.00013450487984530414,
    0.0001628252276201854,
    0.00017664503238289217,
    0.00016962987248263383,
    0.00016086243302171926,
    0.00013527284294325006,
    0.00011661416302788495,
    0.00010696219614816466,
    0.00013517688098865855,
    0.00011656967971520726,
    0.00014588257923081054,
    0.00010189320442427522,
    0.00012529240945591925,
    3.715870008737611e-05,
    0.00022502566978297063,
    0.00016277974007676064,
    0.000401924795934445,
    0.00022055463163352833,
    0.0003379364603876253,
    0.00018143941304432526,
    0.00040340692130149704,
    0.00011875860613238115,
    0.00018447802490304544,
    8.462556864433766e-05,
    0.00028341076896031003,
    4.851527799219386e-05,
    0.0001926834837712753,
    3.0030242907220707e-05,
    0.00015371562665775142,
    1.588068260398865e-05,
    0.00015162014632240457,
    0.00019467652621802122,
    0.00012940215514153705,
    0.00014093249733708617,
    0.00017323283392484587,
    0.00016828878353728185,
    0.00010531835575788428,
    4.15076093270484e-05,
    0.00016254713237688384,
    0.00014358050624768183,
    0.00013860814175325947,
    5.330215544804793e-05,
    0.0001335786526089828,
    5.124153970323253e-05,
    3.802430692368012e-05,
    2.4372072358799845e-06,
    0.0002662729351270509,
    0.00015475719407610406,
    0.0002612191833732334,
    7.429001787330055e-05,
    0.00022329023211263067,
    7.191896856086327e-05,
    0.00010379064891866194,
    3.3547460877853645e-05,
    0.00017770611527298755,
    2.837919397132224e-05,
    0.0001082116362410224,
    1.1709852365896237e-05,
    6.261454924417115e-05,
    2.578276955453099e-06,
    2.4540631306836914e-05,
    2.70172785020209e-05,
    5.0158340192029125e-05,
    0.000168578468741156,
    0.00011121723937416185,
    0.0001464617262997707,
    0.00015666149176705557,
    0.0001968170474322708,
    0.00012478519354147357,
    0.00012790891853483452,
    0.0001282405929920611,
    0.0001457205711396036,
    0.0001230179997874489,
    0.00012165383895258459,
    0.00013514787682155865,
    0.00012786866359938256,
    0.00011571260034014463,
    4.2266103884560146e-05,
    0.0002913206877298112,
    0.00025487555931858,
    0.00035557133047844143,
    0.0002230720685211128,
    0.0003920620759951112,
    0.0002584886644478607,
    0.00035695697710778717,
    0.00013372098769221964,
    0.00023142618189351188,
    0.00012401668478430398,
    0.00023030502772759294,
    4.904759553483475e-05,
    0.00021290369653307868,
    4.8897097906166006e-05,
    0.00013035056616639634,
    2.69057586907636e-05,
    0.00015530517360633485,
    0.00023826128905163628,
    0.00011126262889016569,
    0.00012610743523743125,
    0.00015446635956994724,
    0.000179895590899767,
    8.912835123334695e-05,
    3.656905260568314e-05,
    0.00018093866885908358,
    0.00018374094905013297,
    0.00012191697798675812,
    4.921109215521307e-05,
    0.00012820370817424832,
    6.178644299270783e-05,
    3.087771983612365e-05,
    2.4911080632729054e-06,
    0.00032560152939207056,
    0.0002256600936877571,
    0.00021918770271305143,
    7.238691134751505e-05,
    0.0002440105180590848,
    0.00010398545889523616,
    8.500489277125883e-05,
    3.961401061225246e-05,
    0.00020344824304709637,
    4.6908373220641484e-05,
    7.137024342822135e-05,
    8.691796448404473e-06,
    6.828129411242316e-05,
    8.669871958246398e-06,
    1.4725581176811145e-05,
    3.290357657373818e-05,
    0.00015883116953817073,
    0.00015458917096592957,
    0.00013770711894748488,
    0.00010543225146906088,
    0.0002690439548427942,
    0.00019152914943922506,
    0.00015377713921065734,
    4.341612207140094e-05,
    0.00012829790265532183,
    8.44167651080793e-05,
    0.0001100816256965597,
    2.1249126343186594e-05,
    0.00015599235101981923,
    3.806083512593284e-05,
    4.8809108377505456e-05,
    1.0296137252367535e-06,
    0.0002994114879969508,
    0.00011532120031035285,
    0.00027179133762728525,
    3.799363843236914e-05,
    0.00041248216957463963,
    8.625087565169605e-05,
    0.00022115076838009104,
    4.294154450215891e-05,
    0.00015858389095715073,
    1.1100026471462675e-05,
    7.57230992818136e-05,
    7.609408143484977e-08,
    9.89698597057672e-05,
    1.9122340702626114e-06,
    5.860111591751102e-05,
    2.479669502822363e-05,
    0.00015719292672497983,
    0.00013147779109759356,
    8.588414772445797e-05,
    2.1352790856796787e-05,
    0.00016253040978420622,
    6.605808312246775e-05,
    2.5066073403722283e-05,
    9.223162896117654e-07,
    0.00011485237756287634,
    3.165507761074303e-05,
    2.8623353513209852e-05,
    3.7339480099563014e-07,
    4.835382978045236e-05,
    2.9594264545828273e-06,
    8.583617720129731e-07,
    2.3904809695181175e-06,
    0.00019277744778017827,
    2.758472311193941e-05,
    5.016203410416084e-05,
    7.216734891052764e-07,
    0.00010115903375056355,
    2.25405427893913e-05,
    2.1789429796053217e-05,
    4.0360958030050256e-05,
    3.987746142133133e-05,
    2.0385862656997033e-06,
    5.901762468929101e-06,
    1.1388220111235621e-06,
    9.365116424732621e-06,
    8.871395248218464e-06,
    2.1318895102723826e-05,
    3.2968010753955554e-05,
    2.811540630807256e-06,
    5.258411393269202e-05,
    4.486669378751697e-05,
    0.00014003397756713194,
    9.281964545211812e-05,
    0.0002277310108974043,
    0.00016320767505616945,
    0.00020417009160927593,
    4.8276522777561424e-05,
    0.00013392543144748423,
    0.0001287095782018787,
    0.00014420761488695855,
    0.0002211181412042033,
    0.0002179796518727293,
    0.0001995002699546379,
    0.00017108489564901234,
    4.385623242604683e-05,
    9.379400220570055e-05,
    0.00011728237243646289,
    0.00010046617053718584,
    0.00020016639486621508,
    0.00015137594427364488,
    0.0002085825646725659,
    0.00010957182836247818,
    9.480566438264852e-05,
    6.619875257003589e-05,
    0.00010820110000347336,
    5.26018086662735e-05,
    0.0001536288746644572,
    6.408980182212873e-05,
    0.00013169266739494417,
    1.1289252708423531e-05,
    5.5800899822115474e-05,
    0.0001941367097845237,
    0.00011353980963020825,
    0.00016752803494273042,
    0.00022712411741666766,
    0.00029706359372293206,
    0.00015480632585166047,
    0.00016426830422800612,
    0.000188151257451446,
    0.0002571952334237874,
    0.00015191839580742264,
    0.00015314010419199798,
    0.0002825905408640437,
    0.0002456503360796922,
    0.00015471192762095504,
    6.20723397314983e-05,
    0.00011425374460627757,
    0.00010256515278940609,
    0.00010227406926845952,
    7.147561041580907e-05,
    0.00018038715025517097,
    0.00011255185556240405,
    0.00011231594542516318,
    1.8653496867074302e-05,
    0.00011840074882272378,
    6.099075606881374e-05,
    8.359199111161734e-05,
    9.053340893820477e-06,
    0.00012050813248942388,
    1.0734202632952055e-05,
    2.143185213636467e-05,
    3.7564676572054877e-07,
    7.797072302355067e-05,
    0.00016151178471598512,
    0.00017798287884215295,
    0.00017258913782373402,
    0.00041324786456789394,
    0.0003333095994854879,
    0.0003406063313416272,
    0.0002239375537116888,
    0.0001860897771652134,
    0.00014760162390488386,
    0.00017533701452854318,
    0.00010785883824559301,
    0.00037044432794826565,
    0.00019133692854965073,
    0.0002476294207676718,
    5.929777986344268e-05,
    0.00013015271621525927,
    7.014976097163513e-05,
    0.00015189091009429638,
    5.419138664730994e-05,
    0.00030371677936834616,
    9.48045029637005e-05,
    0.00022396311881287413,
    1.943363140874994e-05,
    9.709877905712447e-05,
    2.5406567920631733e-05,
    8.559798713661762e-05,
    5.19988270231301e-06,
    0.00012963105824017408,
    2.0848514556655175e-06,
    4.1982992947683507e-05,
    1.920657092927741e-06,
    0.0002007737969886738,
    0.00020751047052580045,
    0.00014693731665386695,
    0.000118233578581743,
    0.0003755279437865005,
    0.0002608154711436235,
    0.00018213230226470873,
    5.7131057038152385e-05,
    0.00023454269431237473,
    0.00015145911934341381,
    0.00012674330380613174,
    3.488714264758235e-05,
    0.00027078605758805766,
    8.700094081804652e-05,
    6.143771386628816e-05,
    9.586608440455846e-06,
    0.00011431966703810008,
    4.0136741163616005e-05,
    7.419050669525168e-05,
    5.682991016032016e-06,
    0.00014877423716522185,
    1.0975803034482695e-05,
    2.624033015713595e-05,
    4.6231007078131437e-07,
    6.821187802201766e-05,
    3.429279604457641e-06,
    1.1509122113344882e-05,
    8.510160841762472e-06,
    1.9247085362564372e-05,
    6.066637738516187e-06,
    5.5540869154771206e-08,
    3.920953006733535e-07,
    6.558246360846866e-05,
    0.00017294281126625755,
    0.00012994170848064127,
    0.0001309728599174728,
    0.0003441547430474279,
    0.00035500687128240023,
    0.00021864376844746042,
    0.00014898009308720583,
    0.00016419747838416113,
    0.00016287493150396416,
    0.0001290639658132635,
    8.811727180474834e-05,
    0.00033755303946990254,
    0.00021832411720889398,
    0.00017448914028460056,
    3.95470890470121e-05,
    0.00013061644546725335,
    8.247272109785633e-05,
    0.00010291717359027912,
    3.463302829369489e-05,
    0.00030973018645196365,
    0.00010536695020750725,
    0.00013573146234978516,
    7.976126253284572e-06,
    9.244211102441611e-05,
    2.6453415840728353e-05,
    4.641360607362966e-05,
    1.0584732844288586e-05,
    0.0001268037616880905,
    3.118090005238489e-06,
    1.727095539226804e-05,
    8.815719045481391e-06,
    0.00016330718979219464,
    0.00021498089992144986,
    0.00010346168854458961,
    8.467879139428945e-05,
    0.0003126691081570268,
    0.0002601311753406385,
    0.00011676154568430166,
    2.6984786934737234e-05,
    0.00020834040183799734,
    0.00016926503425140194,
    8.993404060532392e-05,
    2.2430753623467725e-05,
    0.00025325614431890355,
    9.713762075092157e-05,
    3.177093789069258e-05,
    2.3058374192377396e-06,
    0.00011016231018775471,
    4.835746903841308e-05,
    4.651141686313094e-05,
    5.8261713650079795e-06,
    0.00014996028248119193,
    1.3531237276921958e-05,
    9.779067050695936e-06,
    2.959436083618776e-06,
    6.499785327781944e-05,
    4.852381531478411e-06,
    7.578671384697598e-06,
    1.881601414384044e-05,
    1.854430898506916e-05,
    5.351445588199486e-06,
    4.371074006175451e-06,
    3.0648811162668363e-06,
    0.00020761279606588737,
    0.00016477172539204585,
    0.00016290109123388868,
    8.252652721693575e-05,
    0.0005413409194039415,
    0.0002692816607397236,
    0.00024188167421223872,
    4.114722459397168e-05,
    0.0001886163896691018,
    9.172066682326854e-05,
    9.733294654267781e-05,
    1.5144415402580827e-05,
    0.0003057037752580474,
    6.131582903172964e-05,
    6.271056525934529e-05,
    2.2704546991578804e-06,
    0.00012407621065582678,
    2.026233203145209e-05,
    6.296254921772963e-05,
    9.181573475412385e-06,
    0.00024291205788883733,
    4.672595987925291e-06,
    4.087551125570763e-05,
    3.669697030720316e-06,
    4.769567840957314e-05,
    1.2269936412419796e-05,
    9.375373695422132e-06,
    2.4213197820614077e-05,
    2.08887968372598e-05,
    1.75981516936307e-05,
    1.375749846264164e-06,
    5.927620299383823e-06,
    0.00018379901655492354,
    0.00011437647853368539,
    7.255398843328205e-05,
    1.0926530881876686e-05,
    0.0002717495319277006,
    7.842125354964662e-05,
    2.8269402643641054e-05,
    3.500320121672761e-07,
    0.00012918554491396798,
    3.374076084484145e-05,
    1.437755552825354e-05,
    5.1624717738900505e-06,
    8.518779835497036e-05,
    1.2649410477693502e-05,
    7.693589446021523e-07,
    7.477934803350473e-06,
    5.4907629361038675e-05,
    8.05418864955448e-06,
    4.9460367069060785e-06,
    1.9320475500451847e-05,
    2.4764289305130845e-05,
    4.626722026456101e-06,
    1.5628989761106623e-06,
    9.183463449595779e-07,
    4.63945082394878e-06,
    2.915320665747566e-05,
    1.4670569860349113e-05,
    7.0645740396194865e-06,
    1.5698243078014854e-06,
    4.020503282297719e-06,
    8.988068012046376e-07,
    4.8336092992187714e-05,
    3.458306812229378e-05,
    0.00010134204303345602,
    8.658673048645133e-05,
    0.00010881574127112966,
    0.00013986790064573844,
    0.00014328601334083035,
    0.00010866330039786052,
    0.00010857620185104387,
    0.00011385405790666224,
    0.0001120503714049414,
    0.00011153892525443987,
    0.0001094715264791596,
    0.00017529483540208035,
    0.00013327620097655974,
    0.00012821915266368852,
    4.4743800164455814e-05,
    0.00014975936083629537,
    0.0001197288113697491,
    0.00024027353577423237,
    0.00014932181421078064,
    0.0002452383568619258,
    0.0001439974251102874,
    0.00026250785189518844,
    8.141507924691147e-05,
    0.0001787114186672791,
    9.67092300042462e-05,
    0.00021994204262630048,
    4.4720975991111204e-05,
    0.00020227298664422344,
    3.9968886987224873e-05,
    0.00014073618939884852,
    2.4507142275398678e-05,
    0.0001058382105024968,
    0.00015211773335592385,
    8.467332461165141e-05,
    0.00011160721466067383,
    0.00014799756491934608,
    0.00016108778346390922,
    9.110287610376241e-05,
    3.7536767846597226e-05,
    0.00016883496866872352,
    0.00016488454092620597,
    0.00011695039566882095,
    4.7565685184471155e-05,
    0.00016879913251314474,
    7.264847168570357e-05,
    4.082229062335601e-05,
    5.416132861013147e-06,
    0.00017165072512711463,
    0.00013122854740363194,
    0.00016928732104979505,
    5.270958919782837e-05,
    0.00017828769745854134,
    6.113554587525867e-05,
    7.696412802871699e-05,
    2.563895399718374e-05,
    0.00018662831876401027,
    3.925293887074347e-05,
    8.232556464328526e-05,
    1.1987939928979298e-05,
    7.584866158849456e-05,
    7.675533735626117e-06,
    2.7732147399637473e-05,
    3.9678146733031164e-05,
    0.00012646113579126682,
    0.00010541025308429688,
    0.00012362242752307588,
    9.496223258460837e-05,
    0.0002543433128679733,
    0.00015666238641951088,
    0.00014717927496773594,
    3.929131996908044e-05,
    0.0001348330270266976,
    8.042424789978815e-05,
    0.00011915317655930928,
    2.3054807388566696e-05,
    0.0001926046036418097,
    4.2395290956575324e-05,
    6.055592753155743e-05,
    2.6532385759839657e-06,
    0.00018164212626351658,
    7.561473941507017e-05,
    0.0002128684049835281,
    2.704596009722221e-05,
    0.0002757164738081651,
    4.676219400625685e-05,
    0.00016797318820561304,
    2.4822643070567527e-05,
    0.00014131521407881954,
    9.423714015721336e-06,
    8.213179580096498e-05,
    4.474611811555219e-07,
    9.165419090209939e-05,
    7.988598184423312e-07,
    7.23189507739177e-05,
    2.4828258974263726e-05,
    0.00012321360437122697,
    0.00010376460342222615,
    8.344597930188147e-05,
    2.1314126610248096e-05,
    0.00016854897941360217,
    6.072056517263152e-05,
    3.000730657948786e-05,
    1.4389827971106588e-06,
    0.00012736541337388146,
    3.2654704451124776e-05,
    3.3634674192224275e-05,
    1.9478416031618697e-07,
    6.689600245018078e-05,
    7.340002045120354e-06,
    2.8499850378259724e-06,
    5.690660099717709e-06,
    0.0001302651387547791,
    1.5557285120745915e-05,
    4.3694291362599675e-05,
    7.906418399450882e-07,
    7.222280296959125e-05,
    7.5127089032981716e-06,
    2.1701308506019e-05,
    3.056279237299984e-05,
    4.064769043509977e-05,
    1.167850582873851e-06,
    1.0803741009677382e-05,
    4.414344675592488e-06,
    1.20974783127117e-05,
    6.35320535157318e-06,
    3.64885065185706e-05,
    4.6171082156451796e-05,
    0.00010963914163827575,
    0.00010859627489028823,
    8.348821212165487e-05,
    7.292977240429086e-05,
    0.00021755643119862427,
    0.0001645463606719155,
    0.00011532587315920027,
    3.199776013927408e-05,
    0.00012276118770556462,
    9.229622421855519e-05,
    9.472733055494042e-05,
    1.9498390357350768e-05,
    0.0001950491449744224,
    5.712101553897302e-05,
    5.2923183398301145e-05,
    3.406072880549716e-06,
    0.0001970752773165128,
    9.601163126519244e-05,
    0.0001617100962091669,
    2.089861461392339e-05,
    0.000313539128109505,
    6.854820378967594e-05,
    0.00013750127325587287,
    2.3743533168328724e-05,
    0.00014900523440121137,
    1.4652197808490028e-05,
    5.1712801703436245e-05,
    3.6574980802301568e-09,
    0.00011495616277315748,
    6.355067461150211e-06,
    6.0669518553495545e-05,
    3.2954695880946816e-05,
    0.00010719043799359729,
    0.00010860599795577296,
    6.504732388255751e-05,
    1.4985392806158763e-05,
    0.00015465006220942358,
    6.330757705954451e-05,
    2.2384230920358537e-05,
    5.189913960005198e-07,
    0.00012379733671912172,
    3.957228635517522e-05,
    2.2865397279813507e-05,
    4.3766454113232293e-07,
    7.01877402676007e-05,
    1.2073396435498442e-05,
    1.063647433767833e-06,
    6.4226618661564104e-06,
    0.00014004092593579136,
    2.4284290378034087e-05,
    2.9043920727699513e-05,
    5.079168379182958e-07,
    8.606400546111434e-05,
    1.7836173322268613e-05,
    1.589190248181745e-05,
    3.0047022202067955e-05,
    4.3764348464525555e-05,
    7.2384398950374545e-09,
    2.3979978327040838e-06,
    1.743401888729758e-06,
    1.90543667212245e-05,
    1.5312254752979483e-05,
    2.6874570086135607e-05,
    4.934411648620398e-05,
    0.00011754286549937655,
    6.963086861118242e-05,
    7.937248075594158e-05,
    9.518030180201655e-06,
    0.0002355277742671629,
    5.3683216804772825e-05,
    4.5603096550650596e-05,
    6.854258902277495e-07,
    9.172297067328784e-05,
    1.2745144110578735e-05,
    2.0861692178875522e-05,
    4.880669000220225e-06,
    7.677504367720296e-05,
    2.4534732662563076e-06,
    5.9418891704059856e-06,
    3.4577339654224435e-06,
    0.00013678771169239626,
    8.130868458630985e-06,
    3.778989815740659e-05,
    2.4756829557448024e-06,
    0.00016270644167378626,
    1.0620819446707037e-05,
    6.886210858146511e-05,
    2.44002812473599e-05,
    2.7780053783317994e-05,
    8.271098451616745e-06,
    1.627339191742195e-06,
    1.629890857455404e-06,
    3.186168636389596e-05,
    4.9236538013524195e-06,
    7.096804859236867e-05,
    2.5083812918327512e-05,
    7.882788014074546e-05,
    1.513378670093864e-05,
    9.790020292680625e-06,
    6.405990439318156e-06,
    5.417852418246051e-05,
    6.494360092851028e-06,
    1.368719392616531e-07,
    1.6462678455273226e-06,
    2.371748046041163e-05,
    2.770091100898567e-06,
    2.5072475362728157e-06,
    2.3771981596243303e-06,
    6.184752114820082e-06,
    7.1987360534704815e-06,
    2.503837776001707e-06,
    1.1275601597367391e-05,
    2.0680216145989045e-05,
    4.383815643753379e-06,
    4.415773745590432e-07,
    6.423096952729361e-07,
    2.0015874202714074e-05,
    1.8189500525201464e-05,
    1.896794959926699e-05,
    2.471498994894426e-05,
    9.973554609471382e-08,
    2.4543162013992475e-06,
    1.7647759289160373e-06,
    2.240925138907683e-05,
    1.7686966059561035e-05,
    1.1455967945909502e-05,
    3.196839654773584e-05,
    6.559425390163939e-06,
    2.8691461431399688e-06,
    7.682443848325121e-05,
    5.5547174874634984e-05,
    0.00019368370802899358,
    8.897390211246913e-05,
    0.00025860373880824347,
    0.0001590793338454773,
    0.0002257551090611531,
    5.033564394638058e-05,
    0.00015573892647168915,
    0.000143801545386201,
    0.00018050196649808554,
    0.0001809493465717985,
    0.00020774627649180463,
    0.00016713436579642415,
    0.00016294637273234122,
    5.2999861037745584e-05,
    0.000129033896098638,
    0.00014493188030499115,
    0.00014283523147724344,
    0.00022415789497637372,
    0.00020052577802069475,
    0.00022760967079209923,
    0.00014118000578351123,
    9.529612920025389e-05,
    7.63198509909132e-05,
    0.00011728089382764757,
    6.83888333167316e-05,
    0.00014782854728520212,
    7.413949987606378e-05,
    0.0001294478357803848,
    1.5592065774204516e-05,
    6.92094038453187e-05,
    0.0002672938286146389,
    0.00013870856063677333,
    0.00022655650074606526,
    0.00019762700752018938,
    0.0003067677465881485,
    0.00012767787281881934,
    0.00016025547803006298,
    0.00017074870231287422,
    0.00028517824812344185,
    0.0001574025116039444,
    0.00018885715005407,
    0.0001980174144354872,
    0.00022279545567021697,
    0.00011700055120604175,
    5.595364247776749e-05,
    0.00013729997304454093,
    0.00014658427914775388,
    0.00012334638567675118,
    9.971507239580588e-05,
    0.00019316449834000217,
    0.00014313177365518124,
    0.0001097786125572365,
    2.673579850371844e-05,
    9.750469431272208e-05,
    6.93146627459239e-05,
    8.148481861907562e-05,
    1.3177883831181266e-05,
    0.00010521629861197003,
    1.4311615800575582e-05,
    1.8036894902812297e-05,
    6.33721686224424e-07,
    9.856229439206493e-05,
    0.00022860884341012886,
    0.00023216753346027772,
    0.00025725667246311094,
    0.00041167529155686195,
    0.0004143299900932294,
    0.0003687466332036793,
    0.00027880119496759954,
    0.00017733596566477515,
    0.0001692028061513431,
    0.00020499671787477608,
    0.0001406073442061747,
    0.00032270097613378175,
    0.0002011441347540078,
    0.00023866387197077864,
    6.657180306871062e-05,
    0.00016865552185977713,
    0.00011957923686027727,
    0.0002160666618436526,
    0.00010008980022796699,
    0.00035512826759329905,
    0.0001463988640994175,
    0.00026825724256015354,
    4.129453186014083e-05,
    9.999115039771521e-05,
    3.801597955139933e-05,
    0.00010641612297297373,
    6.901862526170607e-06,
    0.00013354475434144468,
    4.751248076529673e-06,
    4.64587947248584e-05,
    1.2279273892134837e-06,
    0.0002220189608026779,
    0.0002843795819417314,
    0.00018122424745929848,
    0.00016840507755008487,
    0.00032580914718963736,
    0.0002948431288929507,
    0.00016668742283393754,
    6.848013034417956e-05,
    0.00019266179499350723,
    0.00017144087980396568,
    0.00013386761802078407,
    5.145385331564979e-05,
    0.0002070354316181789,
    8.988258052595449e-05,
    4.988463449462718e-05,
    8.861901794369268e-06,
    0.00014344012148322663,
    7.476357388166118e-05,
    9.821483395368109e-05,
    1.2493753607129786e-05,
    0.0001647484234023356,
    2.6050906904113303e-05,
    2.9635841462158148e-05,
    7.173014663316199e-07,
    6.382606044226372e-05,
    3.8164198775852765e-06,
    1.3348534781208129e-05,
    5.0677258904577835e-06,
    1.8128396333094693e-05,
    3.6265695623037617e-06,
    1.3321302793554102e-07,
    3.7020646017087037e-07,
    0.00011966970148372337,
    0.00032039720078228223,
    0.0002061447908363757,
    0.00024509970086890364,
    0.00042570847274568836,
    0.0005187661755864912,
    0.0002730434600474012,
    0.00022095508531766428,
    0.00022397303196557922,
    0.0002531939266776549,
    0.00019740608397789884,
    0.0001484144165896689,
    0.00035325545980559255,
    0.0002604773337502913,
    0.0001900066279707446,
    5.581472529221863e-05,
    0.00019511179071740733,
    0.00015497479374760865,
    0.00016244244756082851,
    7.837425550720913e-05,
    0.0004298270917054787,
    0.00019003823054615412,
    0.0001985596914934831,
    2.9212030610624798e-05,
    0.00012010226897629567,
    4.820330031826494e-05,
    7.42072607529139e-05,
    9.910202785170232e-06,
    0.00015708713092595097,
    7.737391784688499e-06,
    2.7139403345331614e-05,
    5.525757491906234e-06,
    0.0002471171720763969,
    0.00039323909997077513,
    0.0001584555249745944,
    0.0001565518750823048,
    0.00033123043813994935,
    0.0003455821062362915,
    0.00012135691210209467,
    4.3693362820015395e-05,
    0.00024633379179789553,
    0.00025828871923014177,
    0.00012284728827637658,
    5.0456163185949175e-05,
    0.00022517013418545478,
    0.00011746949754460672,
    3.156936608675759e-05,
    4.5532072854286325e-06,
    0.00016169336112067408,
    9.972757979600248e-05,
    7.236024015916854e-05,
    1.1020775577969165e-05,
    0.00019031942303931822,
    3.791162253870814e-05,
    1.6381471642646258e-05,
    5.090231026576615e-07,
    7.524628294696588e-05,
    6.302895843409865e-06,
    9.542891159558439e-06,
    1.1100409646078224e-05,
    2.2405995919332107e-05,
    1.4846220688412134e-06,
    3.6260154359862304e-06,
    2.5596132300519824e-06,
    0.0003362182717381197,
    0.00033348407129367137,
    0.00029212480769523025,
    0.00017914582064819962,
    0.0007119175676910826,
    0.0004488670198917068,
    0.00034893275079391693,
    9.479018024713416e-05,
    0.0002581126570449932,
    0.00015178260394136495,
    0.0001612858400348357,
    3.2190872905899894e-05,
    0.00035047301508730864,
    9.365411985684821e-05,
    8.821028776012757e-05,
    7.78007063150628e-06,
    0.00020238581049579238,
    5.6363173245666804e-05,
    0.00012161454530077419,
    1.1202608106780375e-05,
    0.000346603094037739,
    2.6887142846115062e-05,
    8.373133403607379e-05,
    2.056622151667766e-06,
    6.997888295325818e-05,
    6.762942183841439e-06,
    1.2601860770967856e-05,
    1.91415176140222e-05,
    3.223137554611688e-05,
    1.1196953584373452e-05,
    2.062228208783969e-06,
    7.80672777861803e-06,
    0.0002692533721371081,
    0.00022616458642935028,
    0.00011787697401938402,
    3.202466069436097e-05,
    0.0003014455558716379,
    0.00013911615320450505,
    3.848385933214567e-05,
    4.841805391440557e-06,
    0.0001531162925732866,
    6.164873301770103e-05,
    2.647132344071529e-05,
    2.8561824058799706e-06,
    8.473321556143749e-05,
    2.2077003887768402e-05,
    1.3178925621353673e-06,
    1.0774858284888923e-05,
    8.760374376169283e-05,
    6.516091517978357e-06,
    7.943311980335471e-06,
    9.845034587594687e-06,
    4.031367794096941e-05,
    3.5104145154812637e-07,
    2.535722312980357e-07,
    2.4241572615546028e-06,
    6.078114081593622e-06,
    2.038968709729199e-05,
    9.882883017273394e-06,
    5.96153321134601e-06,
    1.0446648688139057e-06,
    1.4966685717249757e-06,
    6.757702368576938e-07,
    5.1345417913478404e-05,
    4.312802373194228e-05,
    0.0001507285732125895,
    0.00011745369534105707,
    0.00019393021627124823,
    0.00013100303756576802,
    0.0001612430630284625,
    0.00011706869720901658,
    0.00014885542990636144,
    0.00012205416730446819,
    0.000146473026142817,
    0.00013344448089531107,
    0.00015898580556113697,
    0.00013341450589264068,
    0.00012630019281136806,
    0.00011549744362625153,
    5.3428366971387066e-05,
    0.0001911107299319883,
    0.00019448041253261866,
    0.0003103556375426197,
    0.0002646478816608622,
    0.0002647246035265865,
    0.00019043219623522906,
    0.00031231499227035145,
    0.00014615764027178663,
    0.00016580314852059907,
    0.00011892887782660204,
    0.00023310165710810864,
    8.057675801044603e-05,
    0.0001739224292783559,
    4.728641924860527e-05,
    0.00013203364035435113,
    3.470456625949474e-05,
    0.0001293488311389329,
    0.0002114059574185092,
    0.00011100431217702115,
    0.00016663099812030046,
    0.00011231414518636847,
    0.0001444631948213233,
    8.19700877980753e-05,
    4.46715636487027e-05,
    0.00016699492623918171,
    0.00019914145325093633,
    0.00012982932487949408,
    7.832630490350481e-05,
    0.00012024043320583622,
    6.280298541592213e-05,
    3.366195675454286e-05,
    6.059422148434168e-06,
    0.00020960435903994378,
    0.00018582236972851924,
    0.00019975601688875064,
    9.871940307612719e-05,
    0.00016548775807903194,
    7.535714093422488e-05,
    7.407930586223241e-05,
    3.7354894584909305e-05,
    0.0001628152448278153,
    5.2225617163027927e-05,
    8.229039205763972e-05,
    2.3791724950224878e-05,
    5.587838627964215e-05,
    7.315656639279841e-06,
    1.5145420411949653e-05,
    3.526013949870549e-05,
    0.00015601057064688897,
    0.00017645867872989713,
    0.00017890506747188695,
    0.0001798670977811638,
    0.00024123561934215345,
    0.0001992710190957366,
    0.00017518824053763604,
    7.365209452320441e-05,
    0.0001368076558070027,
    0.00011052608002823487,
    0.00014543504325567773,
    4.850181759422938e-05,
    0.0001632746337331413,
    5.045105888808654e-05,
    6.271103854333057e-05,
    7.184285349437266e-06,
    0.0002526007927665946,
    0.00015389232621972784,
    0.0003222877458228385,
    9.690387271374863e-05,
    0.0003082086778591979,
    9.247354983017703e-05,
    0.0002287727277513411,
    7.714795010809983e-05,
    0.00014917083993786913,
    2.1306171947850898e-05,
    0.00011355358179027197,
    9.332841071890182e-06,
    8.495195404696153e-05,
    3.193164984417011e-06,
    7.021015285451258e-05,
    4.0458325771525164e-05,
    0.0001384920607505195,
    0.00015176606763657886,
    0.00010445693292052701,
    4.7753913623989236e-05,
    0.00013456394515847772,
    6.883913805620268e-05,
    3.0893600893873454e-05,
    5.08982917378197e-06,
    0.00012129232295298993,
    5.152435626714363e-05,
    4.393833594863258e-05,
    4.204341082178461e-06,
    5.040621376844616e-05,
    7.202909745472838e-06,
    3.0784767624446987e-06,
    4.935304835716117e-06,
    0.0001654424551149813,
    4.2136630269959125e-05,
    6.950509251757953e-05,
    1.4708058132476943e-05,
    7.238637842801193e-05,
    1.8157087953182652e-05,
    2.154569530318553e-05,
    5.4228809368101386e-05,
    4.3009361617929036e-05,
    1.6178018958573774e-07,
    1.4587776948631538e-05,
    1.696639185958766e-05,
    6.658296748334211e-06,
    8.05189676551784e-06,
    2.1556987585220415e-05,
    6.332470480294263e-05,
    0.00018890898432002013,
    0.0002514878299264415,
    0.00016143381719723653,
    0.00018068455531251938,
    0.0002560274532252719,
    0.00024277689618000574,
    0.00015918640406910043,
    7.656484279111012e-05,
    0.00018585994080828853,
    0.0001671147683020748,
    0.00014780995420336367,
    5.928138503005198e-05,
    0.00019060618113330677,
    7.73416816683646e-05,
    6.567481524205708e-05,
    1.3810580224313898e-05,
    0.0003449009997468289,
    0.00023712413254946472,
    0.00030605817714773556,
    0.00011583245815466155,
    0.0004174803148925845,
    0.00016021598413144865,
    0.00024817120352742245,
    0.00012049882926334439,
    0.0002041721192475962,
    4.365392664268669e-05,
    0.00010794004117342036,
    1.872473727775235e-05,
    0.0001314843396201141,
    1.915464355533898e-05,
    9.135574622599843e-05,
    9.136499545461895e-05,
    0.00017617717795657725,
    0.0002119302056943509,
    0.00010187063658939829,
    4.971182430667216e-05,
    0.00014417799179905296,
    8.421643495499302e-05,
    2.739548519932328e-05,
    5.559719444450209e-06,
    0.00016345258924594343,
    8.658304793205636e-05,
    4.252290270645639e-05,
    7.491270456734051e-06,
    6.079097104199129e-05,
    1.5854320301706176e-05,
    2.3563860938114684e-06,
    8.67740539882243e-06,
    0.00021911213159017684,
    8.073954403851221e-05,
    6.622629101145065e-05,
    2.391788779489412e-05,
    0.0001008710108604158,
    4.4117327683852395e-05,
    2.376744633183862e-05,
    7.781165519689564e-05,
    6.412297312761821e-05,
    6.586176508988894e-06,
    1.2088465730191197e-05,
    2.6519391758797513e-05,
    1.6023904186362863e-05,
    2.383168084485948e-05,
    2.3543387841642348e-05,
    9.778170474977361e-05,
    0.00022293391115347418,
    0.00018261119330415754,
    0.00016314400293955292,
    4.898204866512121e-05,
    0.0002989459763774241,
    0.00012171566664157458,
    8.666333611110796e-05,
    1.93223812805092e-05,
    0.0001411118770758283,
    3.611772062692749e-05,
    4.921219419504325e-05,
    8.289102128240956e-07,
    8.922540681780949e-05,
    9.981744783765856e-06,
    1.4539324341260071e-05,
    1.1016271587736152e-05,
    0.0002647161241806899,
    4.516352707134998e-05,
    0.00012760828317833582,
    1.5379397307049127e-05,
    0.0002546256341729261,
    6.47387675739609e-05,
    0.00016880172577020267,
    0.00014982231307310314,
    5.460779044846492e-05,
    4.912823232136965e-07,
    2.310175884221407e-05,
    6.901684406238487e-06,
    4.268146991733496e-05,
    1.538366044365815e-05,
    0.00011762143217566212,
    0.00011283971442162015,
    0.00012591642101214342,
    5.1405195951629746e-05,
    2.3989220299536433e-05,
    3.87864004368693e-07,
    5.9246828697846816e-05,
    1.9577138105556202e-05,
    1.0997745703582576e-06,
    6.3230613768042656e-06,
    4.0587525505230995e-05,
    1.5706312602073627e-06,
    4.7282121456833685e-07,
    1.6152431942383388e-06,
    5.792287344977256e-06,
    1.1853805515946642e-05,
    1.2541634091629712e-06,
    2.4148490773948712e-05,
    5.09834604182642e-05,
    2.233973347781491e-06,
    4.8092428373542045e-06,
    1.1144198914421639e-05,
    2.8068054492849353e-05,
    6.0119191597656094e-05,
    2.8022800717362464e-05,
    0.00011064850261075921,
    1.440006154011382e-06,
    7.506066920600656e-07,
    1.0377007468212798e-05,
    2.9085672449186436e-05,
    1.5999292710799454e-05,
    2.7923378294164016e-05,
    4.10054697764229e-05,
    4.644972628021958e-05,
    5.5788609662744004e-05,
    0.00014863785221947313,
    0.00012435281960653687,
    0.00014407536266747168,
    0.0002992620742089795,
    0.0003250683371882883,
    0.0002053702962019211,
    0.00018967953292704776,
    0.00014445867544850383,
    0.0001468411664585528,
    0.00013993025211509155,
    0.00011662553733956709,
    0.00030133125404877296,
    0.00021727594344710542,
    0.0001918133683846008,
    6.777444082780912e-05,
    0.0001012541460147476,
    7.578394833397629e-05,
    0.00010856939073491878,
    5.970976658533038e-05,
    0.0002509515920376908,
    0.00011296772652789544,
    0.00015730899818895518,
    2.2990321769362357e-05,
    7.291463036631062e-05,
    3.678834039920896e-05,
    7.138619269656583e-05,
    5.803727856090675e-06,
    0.00011663807131903999,
    6.48700978976566e-06,
    3.2669451597950375e-05,
    5.792497765095595e-07,
    0.0001415820322406974,
    0.00019996423482637247,
    9.992381891187653e-05,
    0.000111990370472255,
    0.0002642292228092011,
    0.0002559386672522273,
    0.00011999277085909655,
    4.9440958853100835e-05,
    0.00018050465651730922,
    0.00017453469322223616,
    0.0001033567123515415,
    4.009020527507934e-05,
    0.0002266570679975027,
    0.0001073383978463783,
    4.3966293976170486e-05,
    1.0759178454913246e-05,
    8.506030467523315e-05,
    5.456189365869411e-05,
    5.824346396475122e-05,
    6.52451213460939e-06,
    0.00012470706024767973,
    1.7667443720142357e-05,
    1.7229742350876084e-05,
    3.288006417899121e-08,
    6.0748775573568796e-05,
    4.118845998987078e-06,
    8.805502219831709e-06,
    6.078461916080772e-06,
    1.9053978714141488e-05,
    2.169178649233639e-06,
    3.2756744050409016e-07,
    5.921612021119063e-07,
    0.0001964277982785208,
    0.00016961641026218586,
    0.00019717773635169998,
    0.00013284386724480364,
    0.000538830193385013,
    0.00033401632834817625,
    0.0003258452933089452,
    0.00011116259376022877,
    0.00018733816189402187,
    0.0001100573973893028,
    0.00015018322526248263,
    3.2523413507773785e-05,
    0.0003359143480052043,
    9.525815211892146e-05,
    0.0001279007909558906,
    2.5839961630010397e-05,
    0.00011993602874572391,
    4.403623437266583e-05,
    0.00010160703627135291,
    5.041038589846824e-06,
    0.00023541204646777597,
    1.929562854643594e-05,
    8.180100380096619e-05,
    3.92059290762279e-06,
    5.688322170593001e-05,
    2.870524595687325e-06,
    1.3141967235387924e-05,
    7.952341766765246e-06,
    2.7535903776312317e-05,
    6.586505152266256e-06,
    5.952976484173616e-06,
    3.0588918950901875e-07,
    0.00016406665289311412,
    0.00012895026793717287,
    9.362660378168954e-05,
    2.6077970373933006e-05,
    0.00026954667014334756,
    0.00011283453528028586,
    5.441567745074839e-05,
    1.535529516995334e-05,
    0.0001302827995347405,
    4.4819253692320155e-05,
    2.9441145426290532e-05,
    2.8082943684012e-06,
    0.00010108852884986724,
    2.9370995717092408e-05,
    1.1070729055888304e-05,
    3.495972182711807e-05,
    5.732129749029294e-05,
    3.144998710943952e-06,
    6.5088292498587745e-06,
    6.110821320486279e-06,
    2.6375850672130946e-05,
    1.6784967197401052e-06,
    9.782848556922904e-07,
    3.8864152855132105e-06,
    5.200836453356906e-06,
    1.4852031692058504e-05,
    4.444961519425959e-06,
    5.816304633526337e-07,
    6.751307548844253e-07,
    1.2133631584028824e-06,
    1.6328653979612911e-06,
    3.265144601460865e-05,
    0.00020798055414651383,
    0.00021590761773201579,
    0.00015331445555963064,
    0.00010416681887785993,
    0.0005429226959901955,
    0.0003640256671270942,
    0.00021296764098872452,
    5.798430711426218e-05,
    0.00020449061428710877,
    0.00013803164664544094,
    0.00011754155380349166,
    2.5361158037492252e-05,
    0.0003523275831564061,
    0.00011404275038511845,
    7.58850404420837e-05,
    1.132219764527566e-05,
    0.00011818854188800181,
    4.424845083755564e-05,
    6.264501730489834e-05,
    6.477887583378519e-06,
    0.0002563601140321105,
    2.041808528157559e-05,
    3.9538041035406443e-05,
    5.669488364274474e-07,
    5.287505756493752e-05,
    6.07236900102361e-06,
    9.649780111729721e-06,
    1.6936944443619433e-05,
    3.018833974453357e-05,
    5.9564719400291785e-06,
    1.489197852862412e-06,
    5.033968413493862e-06,
    0.00017896367452841685,
    0.00016736945507936794,
    7.545924777360713e-05,
    1.6617894720662976e-05,
    0.000268391802259623,
    0.00012128187248411322,
    2.657984420045694e-05,
    2.25760834819046e-06,
    0.0001498639337750735,
    6.338038244263827e-05,
    1.9179319785204116e-05,
    1.928971267075937e-06,
    0.00010661888696442775,
    3.903005924600253e-05,
    1.5734417370654093e-06,
    1.6583827890120676e-05,
    5.8999577347540126e-05,
    4.4720898428720926e-06,
    5.171980741280829e-06,
    1.1386464295855564e-05,
    3.0173387098096813e-05,
    6.084305186845088e-07,
    1.262378417129789e-06,
    7.774756230286926e-07,
    7.108514944331581e-06,
    1.5595467984778177e-05,
    1.2400434531297784e-05,
    4.915134296798093e-06,
    2.6907552542982776e-07,
    2.0665862441319224e-07,
    7.47472840860848e-07,
    5.0463166441977396e-05,
    0.000240947076227339,
    0.00013409937146313412,
    0.00013538956880739854,
    2.0840996649902497e-05,
    0.0005349553671900151,
    0.00016066795249693118,
    0.00013021553975310724,
    2.1605702901988212e-05,
    0.00014752651735579512,
    3.378631402952025e-05,
    3.066502998018028e-05,
    3.1269680682742782e-06,
    0.00017245145626662524,
    3.173919547515052e-05,
    3.313147017056245e-05,
    3.143961876547947e-05,
    7.347146709450027e-05,
    5.961443293321238e-06,
    9.911368870553082e-06,
    1.399912853752773e-05,
    9.132092896813987e-05,
    1.1548999424056417e-06,
    1.1400234378892431e-05,
    1.7984849634547324e-06,
    7.149575877674469e-06,
    2.409330022731999e-05,
    9.831924837625178e-06,
    5.3982869694075e-06,
    2.395862769328593e-07,
    5.883715358297482e-06,
    5.724095152553763e-06,
    5.249989474536172e-05,
    0.00011385060733915172,
    3.523949074201777e-05,
    1.1678390974025345e-05,
    2.639535776552958e-06,
    0.00010366257682121506,
    3.318947340368861e-05,
    2.728192381653228e-06,
    1.4008984179096747e-05,
    3.556289111598429e-05,
    7.750197970938073e-06,
    2.650151456941943e-06,
    4.103041693196777e-06,
    2.360051556399866e-05,
    4.888381653165433e-05,
    1.0098734807683596e-05,
    8.66742204645391e-05,
    5.278974565550853e-06,
    1.7992886183580815e-05,
    1.1231802141394426e-05,
    3.38342808757951e-06,
    1.3672180997274108e-06,
    2.568590994759556e-07,
    1.070841149474015e-07,
    3.636832615112934e-05,
    1.3323306977242714e-05,
    5.530141018036115e-06,
    2.479044869917276e-06,
    5.595667385066059e-05,
    1.059595387041826e-07,
    2.3334615264549433e-05,
    3.248965204026697e-05,
    6.182240719241224e-05,
    0.00010518824444134382,
    0.00010887767063143231,
    9.351066435073465e-05,
    0.00010550694849393215,
    0.0001795990740064818,
    0.00015163504269610743,
    0.0001137582276215106,
    4.685488536297514e-05,
    0.00012359143367582774,
    0.00010349776113130133,
    0.00010290084808801424,
    3.4077364951589286e-05,
    0.00017913478328510798,
    6.076844143926466e-05,
    5.5316979864380136e-05,
    8.469134091870001e-06,
    0.00014507894311059579,
    9.109499372594877e-05,
    0.00016504546561604496,
    4.0454804112037104e-05,
    0.00021354463045042383,
    5.7153332274747233e-05,
    0.00012425554577216816,
    3.4168729301319316e-05,
    0.0001255292408538,
    1.9296906096341685e-05,
    6.47173250853194e-05,
    3.573102733470911e-06,
    8.486021821949592e-05,
    5.546466478140939e-06,
    5.625679937399853e-05,
    4.47722502816679e-05,
    8.893794408274448e-05,
    0.00010703534105959412,
    6.769231624770813e-05,
    2.613396823012353e-05,
    0.00011420140907933456,
    5.4122441738955454e-05,
    2.3626598755672105e-05,
    2.476058280803987e-06,
    0.00011716597930565082,
    4.8518332993862436e-05,
    2.8305060313848555e-05,
    1.3008573421582268e-06,
    5.8846657409382613e-05,
    1.259916816330507e-05,
    2.8087604796907338e-06,
    7.831150843113025e-06,
    0.00010297091541911204,
    2.3887786484473457e-05,
    3.229320320642413e-05,
    2.994245124534115e-06,
    5.1498482246908626e-05,
    8.168713520619698e-06,
    1.0623208086110319e-05,
    3.080641614838325e-05,
    3.656174724796711e-05,
    1.5668266480959396e-07,
    4.533365756463101e-06,
    9.649072514439608e-06,
    9.309169395704752e-06,
    1.0202051742034493e-05,
    2.0837783022914507e-05,
    6.773474931534614e-05,
    0.00012360015988881266,
    9.37251797989258e-05,
    0.00011110104371013926,
    2.647109566360845e-05,
    0.00021790298678826524,
    7.117237279150676e-05,
    6.344000391000625e-05,
    1.047696331169527e-05,
    0.00010710014568371238,
    2.3347759865052633e-05,
    3.662068670611099e-05,
    2.7076954571002566e-07,
    8.283462439483935e-05,
    9.094888135960513e-06,
    1.410593229396169e-05,
    1.332111547975058e-05,
    0.00012955905449970535,
    1.3996563701355115e-05,
    6.289542122990744e-05,
    2.452552157256197e-06,
    0.00011930822366460043,
    1.4508168651884171e-05,
    8.325382725183307e-05,
    6.661191941164461e-05,
    3.139122325466742e-05,
    2.117966103963607e-06,
    1.1268747140188911e-05,
    3.947567979162948e-06,
    2.333697909115956e-05,
    7.533983686282611e-06,
    9.326535133878917e-05,
    8.323319005425858e-05,
    7.311163674334379e-05,
    2.2963926400048992e-05,
    1.6000897341873268e-05,
    5.654442429632178e-07,
    4.409188699364222e-05,
    9.261862645462046e-06,
    7.625255046498923e-07,
    6.765115593728752e-06,
    2.8668466625805545e-05,
    5.759401477201542e-07,
    9.600085593494101e-07,
    6.548889965898941e-07,
    7.200067195269372e-06,
    1.4625726311066483e-05,
    2.661045440600964e-06,
    2.7132660762211972e-05,
    1.9225320297980894e-05,
    1.014271532730561e-06,
    3.821140714636272e-07,
    3.1436497389627043e-06,
    8.049835248451422e-06,
    1.711440967154642e-05,
    1.938874153304509e-05,
    6.119899799495701e-05,
    1.3695135613287389e-08,
    7.210941895134376e-07,
    6.084597317031043e-06,
    2.4633210020270678e-05,
    1.1129517408522331e-05,
    2.2537899044413634e-05,
    4.7075701749501105e-05,
    2.995065556006855e-05,
    0.0001404963771879931,
    0.00011287348200551249,
    9.229616320170326e-05,
    2.1054770856751856e-05,
    0.00024268328212116028,
    8.696159662668967e-05,
    5.475900987261211e-05,
    8.329100548591154e-06,
    0.00012601451583259732,
    3.354264972784563e-05,
    3.079233937804465e-05,
    2.2736753052025949e-07,
    0.00011143730065797747,
    2.175882865809212e-05,
    1.4823239323142487e-05,
    1.984512883657041e-05,
    0.00015696840986673038,
    2.2751701752026602e-05,
    5.065563306029485e-05,
    1.575215282265043e-06,
    0.0001784770719121954,
    3.439951223865634e-05,
    8.712025433673501e-05,
    7.228709839757951e-05,
    4.2526946551511e-05,
    1.70760932288557e-07,
    6.963547910105164e-06,
    2.8050676138246194e-06,
    5.7246675725244226e-05,
    2.319203748806264e-05,
    0.0001159100714723797,
    0.000127766550687774,
    8.906082163145027e-05,
    3.135814607430365e-05,
    1.316482834353606e-05,
    6.194427093690621e-07,
    5.3108879860365366e-05,
    1.4003641282063514e-05,
    3.57994544636374e-07,
    5.091319926128882e-06,
    3.783739432991994e-05,
    2.0558001665637875e-06,
    8.167355028111591e-07,
    8.298745826857892e-07,
    1.3363925394315485e-05,
    2.5649306380228284e-05,
    3.13456270977302e-06,
    2.9991530529061327e-05,
    2.857295000520368e-05,
    1.9605664234140316e-07,
    3.54170356626671e-07,
    3.828224210375094e-06,
    2.016224556277273e-05,
    3.354083037869396e-05,
    2.0907257061802473e-05,
    6.591432352921449e-05,
    1.059284285957329e-06,
    1.6272157486555597e-06,
    3.893135729410974e-06,
    2.8375137770950737e-05,
    2.7013297104033724e-05,
    4.212745701889067e-05,
    4.7801944267786696e-05,
    4.6374617908686844e-05,
    0.00011104407786496018,
    2.031277369428068e-05,
    2.2745087046395435e-05,
    1.2689821839964139e-06,
    0.0001238242914134708,
    2.6802700168470947e-05,
    1.4043464079376088e-05,
    1.5469552531437792e-05,
    3.0504306221813363e-05,
    1.2031717884344221e-06,
    8.830821941382726e-07,
    5.744047058000895e-07,
    2.930036975766364e-05,
    1.959702000747055e-05,
    1.8566600325982313e-05,
    3.535100729590805e-05,
    3.586490992940708e-05,
    1.7281626587908646e-06,
    3.3858395955788547e-06,
    4.36061127656618e-07,
    9.40884934436341e-05,
    4.9095833372095904e-05,
    0.00013687809620372497,
    0.00011825554916791654,
    2.1793267676922928e-07,
    2.065848090557437e-06,
    4.29447821018272e-06,
    2.272584775402565e-05,
    5.43771597395062e-05,
    2.3235735803542946e-05,
    0.00020246578062186742,
    7.561456354903343e-05,
    1.66826700261968e-05,
    1.1461446385411986e-06,
    4.2014606797990025e-06,
    1.138103418217158e-06,
    6.075089735279814e-06,
    1.9959838671343622e-05,
    1.5299332482779042e-06,
    1.683070598347485e-05,
    1.333770418479546e-06,
    6.996030197125163e-08,
    1.1150558761633386e-06,
    1.5499597096144787e-05,
    1.104237297128118e-05,
    3.18636459532895e-05,
    1.3778995142508107e-05,
    4.353306481381127e-06,
    4.6653762828583796e-07,
    3.330964239331225e-07,
    7.245246068625488e-07,
    1.9783163018748074e-05,
    2.4813207761106355e-05,
    4.323197360033027e-05,
    2.9552848373721596e-05,
    2.9203435184672727e-05,
    7.611723737095077e-07,
    1.830929870097096e-05,
    1.5567234094118312e-05,
    2.413115861351814e-05,
    2.9287148586611198e-05,
    6.21975900631249e-06,
    9.694355761070594e-06,
    8.319441295287128e-05
  ]
}

{
  "name": "qaoa_p2_theta",
  "dtype": "float64",
  "shape": [
    4
  ],
  "data": [
    5.773782425304376,
    0.15048962448492745,
    3.1548488926522555,
    2.7750146422447592
  ]
}

{
  "name": "qaoa_p2_optimizer_history",
  "dtype": "float64",
  "shape": [
    720,
    6
  ],
  "data": [
    [
      0.0,
      0.49796304256108864,
      0.9540506344113976,
      2.8742387152913387,
      5.627545423950054,
      1.9852445431907504
    ],
    [
      0.0,
      0.4992349136402356,
      1.6540506344113974,
      2.8742387152913387,
      5.627545423950054,
      1.9852445431907504
    ],
    [
      0.0,
      0.49491821342022174,
      0.9540506344113976,
      3.5742387152913384,
      5.627545423950054,
      1.9852445431907504
    ],
    [
      0.0,
      0.5016421491494109,
      0.9540506344113976,
      3.5742387152913384,
      6.327545423950054,
      1.9852445431907504
    ],
    [
      0.0,
      0.42051975452626417,
      0.9540506344113976,
      3.5742387152913384,
      5.627545423950054,
      2.68524454319075
    ],
    [
      0.0,
      0.503213537904911,
      0.9421440436054904,
      3.6027428107524284,
      5.564599459814782,
      3.3817239436301363
    ],
    [
      0.0,
      0.43684603991774906,
      0.9524924439753306,
      3.8011679774235163,
      5.396108827078384,
      2.553192342682125
    ],
    [
      0.0,
      0.42082482053234277,
      0.8665515485547571,
      3.5740077937662433,
      5.62777634547515,
      2.685475464715845
    ],
    [
      0.0,
      0.4199537920237936,
      0.9598010913782814,
      3.5667432537646255,
      5.627095380049524,
      2.8599887784652256
    ],
    [
      0.0,
      0.42064389017341713,
      0.9611143963960901,
      3.603424375945161,
      5.6866327798840475,
      2.8628292936387276
    ],
    [
      0.0,
      0.41905198939378535,
      0.9599248923858811,
      3.5369885236577976,
      5.645483430203694,
      2.8587557654449838
    ],
    [
      0.0,
      0.4173157253783073,
      0.9688597996448322,
      3.468885734468699,
      5.658056987491328,
      2.863663228544559
    ],
    [
      0.0,
      0.4149819298157524,
      0.988710851427612,
      3.331352435317244,
      5.662265326389145,
      2.8801804090350327
    ],
    [
      0.0,
      0.41582278232091396,
      1.011329425735651,
      3.206887223192087,
      5.611518384369952,
      2.9121422447553424
    ],
    [
      0.0,
      0.41494776400468847,
      1.0232309902738916,
      3.336375472639484,
      5.6650907236623285,
      2.8797979951994574
    ],
    [
      0.0,
      0.4143782359251627,
      1.0217777325158113,
      3.3169674426669857,
      5.732328550413008,
      2.8792584877196497
    ],
    [
      0.0,
      0.42023461528686956,
      1.019714760579586,
      3.335885713192069,
      5.751401766229986,
      2.9438654194338945
    ],
    [
      0.0,
      0.41412063881265193,
      1.016378577588632,
      3.348211466623153,
      5.741134710845302,
      2.8673374293966876
    ],
    [
      0.0,
      0.41280208646952943,
      1.019099454176741,
      3.329352053609884,
      5.742003132683393,
      2.7999863699031775
    ],
    [
      0.0,
      0.41553866228420894,
      1.020133713716081,
      3.325166305026311,
      5.768877938739811,
      2.735494861815443
    ],
    [
      0.0,
      0.41276525195703473,
      1.0505313161773868,
      3.3378847975148163,
      5.729443146349074,
      2.797441359901834
    ],
    [
      0.0,
      0.41314417098625056,
      1.0527266555076922,
      3.3373626782566657,
      5.735396809544219,
      2.7811406920853345
    ],
    [
      0.0,
      0.41278854144584676,
      1.0491244898509213,
      3.3405805058837545,
      5.727922304730096,
      2.7966100736414012
    ],
    [
      0.0,
      0.4127977202783729,
      1.0495778837885652,
      3.3336001086491573,
      5.723999375313164,
      2.7971286860893314
    ],
    [
      0.0,
      0.4127586980633711,
      1.0536680933645663,
      3.3387911011291314,
      5.7281842433722625,
      2.797374982709634
    ],
    [
      0.0,
      0.4126562070477704,
      1.0545272857876573,
      3.339332780296577,
      5.728888289687769,
      2.8042650255865165
    ],
    [
      0.0,
      0.4125934781722595,
      1.0564042852977733,
      3.3394227713949363,
      5.730880017248866,
      2.810707214326658
    ],
    [
      0.0,
      0.4125663133363247,
      1.0631938348441672,
      3.3404041063046575,
      5.730918550152268,
      2.8120991604345877
    ],
    [
      0.0,
      0.41258897625962226,
      1.0629035127327207,
      3.3457141931576637,
      5.728425279226281,
      2.8159073477691035
    ],
    [
      0.0,
      0.4125629307135966,
      1.0630760333938907,
      3.342324588322838,
      5.733713881279521,
      2.811242425046522
    ],
    [
      0.0,
      0.41252653790353344,
      1.0651119234609847,
      3.3390421706422946,
      5.737996410553456,
      2.8152098963851775
    ],
    [
      0.0,
      0.41248947669925445,
      1.0698257130157038,
      3.335847197179019,
      5.7419843321898,
      2.8160277066475063
    ],
    [
      0.0,
      0.4124268650337128,
      1.0753247689066878,
      3.3278771053960434,
      5.751633174491558,
      2.819050596575139
    ],
    [
      0.0,
      0.41234187499505076,
      1.0890793310480482,
      3.3318189668598954,
      5.773001532540929,
      2.8079750820149423
    ],
    [
      0.0,
      0.4122312713294364,
      1.090845758066722,
      3.3182067020684904,
      5.79704686079653,
      2.8121473921564357
    ],
    [
      0.0,
      0.41207306047146935,
      1.128868481158341,
      3.2852413218186247,
      5.821170724160757,
      2.8167944826509235
    ],
    [
      0.0,
      0.41239294962882733,
      1.146148257392567,
      3.3020217203062274,
      5.853883847822664,
      2.8553389906925766
    ],
    [
      0.0,
      0.41211602067987346,
      1.132910621639896,
      3.2925977446574417,
      5.82672667175938,
      2.807064344438891
    ],
    [
      0.0,
      0.412313495722262,
      1.1195220281927785,
      3.2606145722623756,
      5.82243488319393,
      2.807383376170007
    ],
    [
      0.0,
      0.41210077136545303,
      1.1321837166622852,
      3.284589988276679,
      5.815507828520216,
      2.8144457401927405
    ],
    [
      0.0,
      0.412027236176488,
      1.1339504196172818,
      3.2896309579308443,
      5.8240684872791215,
      2.828732152658579
    ],
    [
      0.0,
      0.4121052353317395,
      1.1327972199685261,
      3.2837257625344463,
      5.831705337353091,
      2.838805747788829
    ],
    [
      0.0,
      0.41205008067144183,
      1.1315176688239854,
      3.2899010290742403,
      5.822018470561999,
      2.8301661040575947
    ],
    [
      0.0,
      0.41199567409248666,
      1.1351670765417246,
      3.295650141930984,
      5.826913774676914,
      2.826945113340425
    ],
    [
      0.0,
      0.4119742230116675,
      1.1415174030939816,
      3.297812939819625,
      5.825155420896648,
      2.825994403102754
    ],
    [
      0.0,
      0.41195892186818067,
      1.142016149503911,
      3.3047053186312,
      5.825534454312445,
      2.8249443078660983
    ],
    [
      0.0,
      0.4119247910122309,
      1.1461517396065481,
      3.3061492918743967,
      5.830993924141128,
      2.8248666872142505
    ],
    [
      0.0,
      0.41190487855862595,
      1.1509986137234756,
      3.3087886145772725,
      5.834778875223705,
      2.826919960763305
    ],
    [
      0.0,
      0.41186228333323216,
      1.1540453715787313,
      3.3096990278334126,
      5.838116797535025,
      2.8216524481702425
    ],
    [
      0.0,
      0.4118441086900024,
      1.1604776223071134,
      3.3138883472769254,
      5.844270526491763,
      2.811692158360481
    ],
    [
      0.0,
      0.41175815627301393,
      1.1691697219721295,
      3.3141688313437383,
      5.8521417797189565,
      2.8193349395777525
    ],
    [
      0.0,
      0.4118295034701766,
      1.182870081981551,
      3.3289603750602734,
      5.864067432418263,
      2.8346740783342015
    ],
    [
      0.0,
      0.41175531303793544,
      1.1798831518178168,
      3.308805006398988,
      5.844914335783948,
      2.818870335369932
    ],
    [
      0.0,
      0.41175036282934185,
      1.1801619951189388,
      3.3033213711157123,
      5.849253159974978,
      2.818707255227781
    ],
    [
      0.0,
      0.41171951725968264,
      1.18418825070229,
      3.305395310312482,
      5.853007541947933,
      2.8225010209278203
    ],
    [
      0.0,
      0.4116865414087749,
      1.1888854729329859,
      3.3079322474145685,
      5.857512435599121,
      2.8229548784462044
    ],
    [
      0.0,
      0.41163389478244344,
      1.198191719722179,
      3.312717595919363,
      5.86642548559359,
      2.825610391613635
    ],
    [
      0.0,
      0.4117367301428616,
      1.214819677861329,
      3.3199619944953636,
      5.882285030141034,
      2.83987589350254
    ],
    [
      0.0,
      0.4116138070853123,
      1.2004413647851297,
      3.310032029040244,
      5.872296806147992,
      2.8133934188881202
    ],
    [
      0.0,
      0.4115765078843172,
      1.2049574749521474,
      3.3110934776516707,
      5.877525148178316,
      2.813770931031775
    ],
    [
      0.0,
      0.4115303231359374,
      1.204326659311317,
      3.3060025943846574,
      5.8897987734078265,
      2.8181347714177725
    ],
    [
      0.0,
      0.41146303926553485,
      1.2088718972516914,
      3.3125769800567424,
      5.901247201964035,
      2.8191603194144337
    ],
    [
      0.0,
      0.41133541107063176,
      1.2211344933842938,
      3.3194435363898855,
      5.925422874794725,
      2.8205801727152737
    ],
    [
      0.0,
      0.4110968316983639,
      1.2476443901974938,
      3.3281793407259377,
      5.973915792525697,
      2.822892752117771
    ],
    [
      0.0,
      0.41100072634209145,
      1.2271717748492732,
      3.375812604726626,
      6.071280276535719,
      2.8034994173115333
    ],
    [
      0.0,
      0.41040018677327883,
      1.3179374375713568,
      3.346051852531796,
      6.126846333197327,
      2.8217286643200588
    ],
    [
      0.0,
      0.42370698418818115,
      1.4598450704104755,
      3.361651509205399,
      6.211656106077731,
      2.972068868116774
    ],
    [
      0.0,
      0.41377374238055764,
      1.364204837028859,
      3.3733320390433947,
      6.1048380198573975,
      2.7259437317092154
    ],
    [
      0.0,
      0.41041984233032464,
      1.3089356724277534,
      3.323530706120511,
      6.133522285795692,
      2.8094324110075557
    ],
    [
      0.0,
      0.4118988619912473,
      1.3048909474231432,
      3.3306619566439983,
      6.143302542626271,
      2.871308230379132
    ],
    [
      0.0,
      0.4103832113440081,
      1.313742475248869,
      3.352611832131087,
      6.138135558432966,
      2.818913996959816
    ],
    [
      0.0,
      0.41048393345339096,
      1.3284926794481478,
      3.359216566532783,
      6.135581139949151,
      2.796192115308593
    ],
    [
      0.0,
      0.4103622846166453,
      1.3188076645572304,
      3.3504561505444315,
      6.14183037977738,
      2.8211601468658265
    ],
    [
      0.0,
      0.41049316292295907,
      1.3190127110928387,
      3.3490111818567594,
      6.149848747251422,
      2.8325432837121047
    ],
    [
      0.0,
      0.41038475626736604,
      1.3202628108341563,
      3.353350462582116,
      6.140932090297296,
      2.822134099201023
    ],
    [
      0.0,
      0.41031398211271125,
      1.3213681484189757,
      3.3483564402508765,
      6.143126873576425,
      2.8151306988889453
    ],
    [
      0.0,
      0.4103000075682487,
      1.3222792360769917,
      3.343751553896254,
      6.146398406142783,
      2.8110980799374845
    ],
    [
      0.0,
      0.4103073502973357,
      1.3274880403941225,
      3.346438736379947,
      6.14679336673364,
      2.807291320946316
    ],
    [
      0.0,
      0.41029370386932607,
      1.3214267127112473,
      3.345407163591457,
      6.149345829996462,
      2.8114060622012187
    ],
    [
      0.0,
      0.4102615478640569,
      1.3249985615548827,
      3.3428425099064247,
      6.152502347323179,
      2.815844625671555
    ],
    [
      0.0,
      0.4102412546786273,
      1.3267379321578705,
      3.3395990213905904,
      6.15746337048042,
      2.819137439268835
    ],
    [
      0.0,
      0.41028466053330653,
      1.3286948258424693,
      3.3419810105966588,
      6.158070413772234,
      2.825392692498818
    ],
    [
      0.0,
      0.41025476589715243,
      1.3237995024074913,
      3.338369264568548,
      6.157156117065194,
      2.8205548044650914
    ],
    [
      0.0,
      0.41021603517663585,
      1.3286335702452954,
      3.3362133426952014,
      6.161667109752584,
      2.8151035438630574
    ],
    [
      0.0,
      0.41018567057687316,
      1.3339769706625935,
      3.335768825181489,
      6.166160460522781,
      2.814858034155723
    ],
    [
      0.0,
      0.41013006001190866,
      1.3412441690622157,
      3.3311635871279366,
      6.17720369066434,
      2.815021367958713
    ],
    [
      0.0,
      0.410122107994946,
      1.3623305692217595,
      3.3134162030047434,
      6.1723040969865455,
      2.814398417809879
    ],
    [
      0.0,
      0.4100916384355158,
      1.362651890705359,
      3.308907770630126,
      6.185528371072462,
      2.8152286978398835
    ],
    [
      0.0,
      0.41000479512683635,
      1.3716359814304102,
      3.317272455534377,
      6.191153439861857,
      2.818926908408688
    ],
    [
      0.0,
      0.4099508330919954,
      1.3803245111086175,
      3.3248930880174905,
      6.198235726160698,
      2.815423105707412
    ],
    [
      0.0,
      0.40992792820335594,
      1.387174941189849,
      3.330248359229981,
      6.203892790332659,
      2.8248247174254715
    ],
    [
      0.0,
      0.409858670704254,
      1.3895599884453782,
      3.3286088072239908,
      6.217111155825414,
      2.821233306489852
    ],
    [
      0.0,
      0.4097697689436978,
      1.4015682985175109,
      3.3272162644114944,
      6.240722533952141,
      2.812268701831329
    ],
    [
      0.0,
      0.40963752938193887,
      1.422113011397476,
      3.3354329617528706,
      6.25624093152155,
      2.819588537509661
    ],
    [
      0.0,
      0.4096978373185352,
      1.4633727723188166,
      3.354868850190239,
      6.285951757159204,
      2.8327470028188424
    ],
    [
      0.0,
      0.4096344272369034,
      1.4314978166526109,
      3.3294358155479054,
      6.249275835055063,
      2.814746317054952
    ],
    [
      0.0,
      0.4096916796025755,
      1.4312459211485298,
      3.3079446430526227,
      6.255641601055974,
      2.831525562468697
    ],
    [
      0.0,
      0.40964041341079777,
      1.4321966560409836,
      3.331842031472432,
      6.244820696033938,
      2.8195289402615464
    ],
    [
      0.0,
      0.4095853761228363,
      1.4410687979549794,
      3.3367688281340406,
      6.2560958197805165,
      2.8127187442040102
    ],
    [
      0.0,
      0.409567697572754,
      1.4494872748653593,
      3.345011950388318,
      6.26194351472279,
      2.8079245137263897
    ],
    [
      0.0,
      0.40978783274603325,
      1.4480130753535803,
      3.34092604146751,
      6.262276649854146,
      2.794619585877108
    ],
    [
      0.0,
      0.4095820389085024,
      1.4490935064734716,
      3.3470099651411087,
      6.259169701135642,
      2.807285106434495
    ],
    [
      0.0,
      0.4095308989641512,
      1.4527725152137292,
      3.3456218777507947,
      6.262585215314693,
      2.8140419809160275
    ],
    [
      0.0,
      0.40951150952164034,
      1.4574228991180733,
      3.343669713314544,
      6.265280477737145,
      2.818079126446
    ],
    [
      0.0,
      0.4095438406928062,
      1.4612689404525931,
      3.3464723431999,
      6.261889617719131,
      2.8219333838475125
    ],
    [
      0.0,
      0.4095066985919614,
      1.4581019733488008,
      3.346324131670716,
      6.267289745396162,
      2.817239028324346
    ],
    [
      0.0,
      0.4095317137215955,
      1.4539684640283286,
      3.3464833811459282,
      6.271134949888498,
      2.821374622926617
    ],
    [
      0.0,
      0.40948921502485847,
      1.459737353229806,
      3.344674135202657,
      6.268937320205374,
      2.8152046877559447
    ],
    [
      0.0,
      0.40947709784485914,
      1.462692695583048,
      3.3438905194214663,
      6.269803487065994,
      2.8137378364164536
    ],
    [
      0.0,
      0.40946633008615757,
      1.46342661583517,
      3.342299942537185,
      6.272735122685461,
      2.8129717170828044
    ],
    [
      0.0,
      0.4094535024794837,
      1.4657344031404709,
      3.3431409647252086,
      6.275198604061089,
      2.812586932799497
    ],
    [
      0.0,
      0.4094507910303754,
      1.4693007040531865,
      3.343709254694551,
      6.2795743452151696,
      2.8084867579662496
    ],
    [
      0.0,
      0.4094276596702526,
      1.4714674435985655,
      3.342429745061337,
      6.28037021147104,
      2.810785603707871
    ],
    [
      0.0,
      0.4093974017952706,
      1.473859057074491,
      3.341554719659647,
      6.28411414567928,
      2.8161239060759033
    ],
    [
      0.0,
      0.40938084013105436,
      1.4787130540981859,
      3.3369996847229175,
      6.284404005345812,
      2.81827014720701
    ],
    [
      0.0,
      0.409368493013508,
      1.4816758434883037,
      3.33661630002052,
      6.289808679381325,
      2.8215662651917954
    ],
    [
      0.0,
      0.4093911191106005,
      1.4858758109869894,
      3.341048284346111,
      6.287087566399877,
      2.823643121491565
    ],
    [
      0.0,
      0.40938171111678967,
      1.4808648607349792,
      3.3364132224057244,
      6.28934492282012,
      2.8230320401772953
    ],
    [
      0.0,
      0.4093475595459341,
      1.4830172371920243,
      3.3354859695897834,
      6.291463683711207,
      2.8190297367143202
    ],
    [
      0.0,
      0.409336024794015,
      1.484093677199492,
      3.333696861722323,
      6.293325946347602,
      2.816926798811765
    ],
    [
      0.0,
      0.40933247466806466,
      1.4831782014820625,
      3.3314144189025354,
      6.295685240302878,
      2.8177243519559485
    ],
    [
      0.0,
      0.4093189157098118,
      1.4857934112688143,
      3.33107676710256,
      6.297839160525445,
      2.8169136135838047
    ],
    [
      0.0,
      0.40930144500362364,
      1.4914662211667338,
      3.3282933999973605,
      6.300392549394004,
      2.8153160214250597
    ],
    [
      0.0,
      0.40929309950796167,
      1.4931552641574308,
      3.3301840180282087,
      6.306043340265915,
      2.8120539270427756
    ],
    [
      0.0,
      0.4093131736842823,
      1.4940014349878257,
      3.3243908174452925,
      6.3094005455758895,
      2.8101959726734305
    ],
    [
      0.0,
      0.4092813982425231,
      1.493205837332699,
      3.3302005136646615,
      6.306902334014602,
      2.8135776724242745
    ],
    [
      0.0,
      0.40926256132321165,
      1.49529787306269,
      3.331534955864153,
      6.307726618003962,
      2.815904302267103
    ],
    [
      0.0,
      0.4092569948980393,
      1.4948359523743338,
      3.3332134249237946,
      6.309424867348977,
      2.818421308436276
    ],
    [
      0.0,
      0.4092509105356505,
      1.4971800922630947,
      3.3357910515386906,
      6.309212654438679,
      2.8181647642942598
    ],
    [
      0.0,
      0.40924139921217423,
      1.4998783843417312,
      3.3346246354542157,
      6.310553530965598,
      2.819510402996067
    ],
    [
      0.0,
      0.4092268065580719,
      1.501518384095647,
      3.335160382482737,
      6.313573533566706,
      2.8191193017075427
    ],
    [
      0.0,
      0.409198521497533,
      1.5051410799978404,
      3.3362652801663706,
      6.319450731485368,
      2.8187819293112004
    ],
    [
      0.0,
      0.4091436706988269,
      1.5131228789329294,
      3.338106322913352,
      6.330802289514177,
      2.818990681993024
    ],
    [
      0.0,
      0.40904292399793873,
      1.5301838073202036,
      3.341168048476563,
      6.352714304519707,
      2.820838425897719
    ],
    [
      0.0,
      0.40915158614863717,
      1.5440489773148947,
      3.383057224668411,
      6.378173905147944,
      2.7975819705608176
    ],
    [
      0.0,
      0.4091209404058088,
      1.5458837159152106,
      3.3268376525960677,
      6.3630372107964455,
      2.8358580873459136
    ],
    [
      0.0,
      0.40910410436766437,
      1.5266381319518758,
      3.343929649855934,
      6.354667619133324,
      2.825837056312554
    ],
    [
      0.0,
      0.40902985324534163,
      1.5239859490074585,
      3.3339574480829497,
      6.360131452916868,
      2.8137264849563692
    ],
    [
      0.0,
      0.4090769032688388,
      1.5255466556889692,
      3.3315523576282584,
      6.355837850385922,
      2.8089994656137725
    ],
    [
      0.0,
      0.4090327917141976,
      1.5229833853908694,
      3.3331400608176636,
      6.359302454692444,
      2.814564343057208
    ],
    [
      0.0,
      0.4090254789515759,
      1.5222082509172647,
      3.3361983086561877,
      6.3620709960506465,
      2.8142801146373304
    ],
    [
      0.0,
      0.40901083693795437,
      1.5234734654624495,
      3.3352212408980706,
      6.3645521326382966,
      2.816161213248282
    ],
    [
      0.0,
      0.40899790494428784,
      1.5246336660638538,
      3.334767169421451,
      6.36760713707877,
      2.8173294176513335
    ],
    [
      0.0,
      0.40897833993029314,
      1.5256388495524849,
      3.3354163670676242,
      6.3742014379455645,
      2.8193501463932935
    ],
    [
      0.0,
      0.409052566024431,
      1.5222215952864755,
      3.3275878735472904,
      6.376820840593226,
      2.8301286338684895
    ],
    [
      0.0,
      0.408957186813682,
      1.5304534199476332,
      3.3349492568413246,
      6.376898773573196,
      2.8150692469015333
    ],
    [
      0.0,
      0.408963231311275,
      1.5294994851957735,
      3.339659073911561,
      6.380333693068897,
      2.811313057381267
    ],
    [
      0.0,
      0.4089621890910127,
      1.529435558824198,
      3.3338183865634554,
      6.377384463136461,
      2.8143539170502287
    ],
    [
      0.0,
      0.408942568904084,
      1.5335878221426087,
      3.3347874858425666,
      6.378022579978384,
      2.816135273255688
    ],
    [
      0.0,
      0.4089227321912741,
      1.54057337975825,
      3.334766717106899,
      6.377663358819392,
      2.816404556781191
    ],
    [
      0.0,
      0.40889959537044607,
      1.5436174795045647,
      3.333348212017538,
      6.383063804049998,
      2.819329704872684
    ],
    [
      0.0,
      0.4088761697874188,
      1.5496278714946081,
      3.3320705958711363,
      6.3861630962244815,
      2.8206092646116807
    ],
    [
      0.0,
      0.40894671644301467,
      1.558072997339357,
      3.3350493776673407,
      6.389549157646304,
      2.8308240233716613
    ],
    [
      0.0,
      0.4088738108553478,
      1.5498830850602374,
      3.3255714515652675,
      6.387580805601444,
      2.8184445268793255
    ],
    [
      0.0,
      0.40887063149293196,
      1.5501735036315252,
      3.3268085098765465,
      6.3897512714744185,
      2.8160105133867175
    ],
    [
      0.0,
      0.4088621685258253,
      1.5513933721337747,
      3.326760983005856,
      6.390901080273923,
      2.8165106151347294
    ],
    [
      0.0,
      0.4088497726435695,
      1.5514886973813895,
      3.3265942957817556,
      6.393852636785069,
      2.818381829346946
    ],
    [
      0.0,
      0.40883609144949973,
      1.5539454666873473,
      3.3264916983425983,
      6.396018593415541,
      2.8196116221009064
    ],
    [
      0.0,
      0.4088131610148994,
      1.5573663580743493,
      3.3265242828500754,
      6.401724903048694,
      2.8217875059991866
    ],
    [
      0.0,
      0.40878199371417434,
      1.560604683051953,
      3.327062254758668,
      6.414903202125459,
      2.825186957573826
    ],
    [
      0.0,
      0.4087436101347976,
      1.5745333969015027,
      3.326927113081504,
      6.416153410640853,
      2.8258269934263347
    ],
    [
      0.0,
      0.40882481648236263,
      1.5791370835781027,
      3.3175498881841965,
      6.4175251548831325,
      2.8350461061788064
    ],
    [
      0.0,
      0.4087265272934126,
      1.5745597214511284,
      3.3245898736956936,
      6.4168871585380804,
      2.8233273468323503
    ],
    [
      0.0,
      0.40870606245476004,
      1.5765961923571936,
      3.3264491533022085,
      6.419528606512546,
      2.817460608539931
    ],
    [
      0.0,
      0.4087144924279768,
      1.579743168763336,
      3.321997927965783,
      6.422597643800738,
      2.814319885274944
    ],
    [
      0.0,
      0.4086997858505263,
      1.5765696541738417,
      3.326892060315003,
      6.421019228725151,
      2.818262901829277
    ],
    [
      0.0,
      0.4086879529131497,
      1.5786948064961652,
      3.3295014365961237,
      6.421876787447426,
      2.8186981903178667
    ],
    [
      0.0,
      0.4086817605609935,
      1.5781542491212708,
      3.3321669398450595,
      6.424006831964355,
      2.818136229011137
    ],
    [
      0.0,
      0.4086786002979204,
      1.579453972242419,
      3.3336252283446224,
      6.425363159042171,
      2.8207042031773577
    ],
    [
      0.0,
      0.4086796421431071,
      1.5805882641602333,
      3.336553670360515,
      6.423935826682196,
      2.820112315063858
    ],
    [
      0.0,
      0.40868305708441444,
      1.578768560233837,
      3.333819846940353,
      6.425051471508697,
      2.821105214227285
    ],
    [
      0.0,
      0.40866998147345296,
      1.5805488331011142,
      3.3335100275172924,
      6.426523644619019,
      2.8199944273709168
    ],
    [
      0.0,
      0.40865469774230534,
      1.582647215155538,
      3.3333504237175884,
      6.428954992390422,
      2.8186124478503434
    ],
    [
      0.0,
      0.40862932471941815,
      1.5864776947624606,
      3.3330028355848973,
      6.434432899776905,
      2.8165632677372043
    ],
    [
      0.0,
      0.40859212652366067,
      1.5889736061502535,
      3.3308234368552383,
      6.447032738110858,
      2.8216881795881226
    ],
    [
      0.0,
      0.40853755248843615,
      1.5964345265293927,
      3.3307575488331533,
      6.457802491971409,
      2.8167543446042753
    ],
    [
      0.0,
      0.4084750954721938,
      1.6135437114751507,
      3.3325421497584355,
      6.478668363139809,
      2.809494426532212
    ],
    [
      0.0,
      0.408702208312652,
      1.5948953265868007,
      3.3389788859646883,
      6.493478121583332,
      2.7962476449264204
    ],
    [
      0.0,
      0.4084397644025248,
      1.6117294325638212,
      3.329272666420418,
      6.482110445418624,
      2.8143080468246944
    ],
    [
      0.0,
      0.4085095372643877,
      1.6150628151804005,
      3.3160548732549726,
      6.481073970708333,
      2.8112907261022784
    ],
    [
      0.0,
      0.40842626453255926,
      1.6142070796062766,
      3.3295310012996824,
      6.480774996699726,
      2.816372291224556
    ],
    [
      0.0,
      0.40841536854351945,
      1.6151658228326449,
      3.3322697741699407,
      6.483948430274891,
      2.8218958094815223
    ],
    [
      0.0,
      0.40841503710587324,
      1.6185016113788764,
      3.327021529603547,
      6.4852049637109115,
      2.824853776261307
    ],
    [
      0.0,
      0.40840412855639346,
      1.621535098298839,
      3.3286968366888328,
      6.485370360418351,
      2.8243912319871285
    ],
    [
      0.0,
      0.4083878422812972,
      1.6234604902185967,
      3.330004961341484,
      6.487853878979273,
      2.8235764857652828
    ],
    [
      0.0,
      0.40835601097259666,
      1.6269811133737848,
      3.3323671932319043,
      6.493109887047324,
      2.821732725400263
    ],
    [
      0.0,
      0.40830105135211353,
      1.634530789056089,
      3.3373961619954797,
      6.503174919525292,
      2.818210369443738
    ],
    [
      0.0,
      0.4082502497043247,
      1.658482557801816,
      3.3515322810930535,
      6.505438721526691,
      2.8158956099942754
    ],
    [
      0.0,
      0.4081870598079505,
      1.6644281157721834,
      3.3571062388858977,
      6.531259901261117,
      2.808764830789515
    ],
    [
      0.0,
      0.4080626603953926,
      1.682446145386586,
      3.339998062715836,
      6.542256160037793,
      2.8155282034589026
    ],
    [
      0.0,
      0.40816240849389995,
      1.6955887056387071,
      3.3358717633040373,
      6.557274131467525,
      2.8347299559132826
    ],
    [
      0.0,
      0.40805768513472307,
      1.6877954364765042,
      3.343725826773276,
      6.5399318718876565,
      2.8144858289760433
    ],
    [
      0.0,
      0.4081577188967783,
      1.6922192327687415,
      3.336101256562837,
      6.540332145070094,
      2.8036168024855845
    ],
    [
      0.0,
      0.4080531304588821,
      1.687817587623651,
      3.3452808961224085,
      6.54291286751867,
      2.813513751976032
    ],
    [
      0.0,
      0.4080550390709264,
      1.6898117894028317,
      3.3465054374071808,
      6.545282502763032,
      2.819670738797073
    ],
    [
      0.0,
      0.4080584691265882,
      1.686766396759155,
      3.3465328260405123,
      6.542366053327887,
      2.813815684894602
    ],
    [
      0.0,
      0.4080462952096416,
      1.6901358458943148,
      3.343986735432679,
      6.544649288367866,
      2.8120353510378107
    ],
    [
      0.0,
      0.4080463438065921,
      1.692268164810143,
      3.343848215540488,
      6.546626855509411,
      2.810092863848316
    ],
    [
      0.0,
      0.40805086316169914,
      1.689588669873727,
      3.343662281925856,
      6.544626832258552,
      2.811434976948131
    ],
    [
      0.0,
      0.4080379213252332,
      1.6903665962158845,
      3.3433852485929623,
      6.545629834268958,
      2.813333810743229
    ],
    [
      0.0,
      0.4080302270458356,
      1.6914392732743118,
      3.3434805472788525,
      6.546390763455451,
      2.8144843622900684
    ],
    [
      0.0,
      0.40801877780229057,
      1.6926466048790771,
      3.342510912283284,
      6.548668339761997,
      2.816644178147812
    ],
    [
      0.0,
      0.40800850988553045,
      1.695848966800697,
      3.3428544924971053,
      6.549771262432005,
      2.8174568234232007
    ],
    [
      0.0,
      0.4079980629647065,
      1.6976357519069178,
      3.341573657245196,
      6.552177311076659,
      2.818732672145115
    ],
    [
      0.0,
      0.40800871630800767,
      1.69912105151309,
      3.3450150952722137,
      6.557110132761061,
      2.821991147189671
    ],
    [
      0.0,
      0.40800621924275765,
      1.6975636417515683,
      3.3413871085185547,
      6.551327352168677,
      2.820249270164639
    ],
    [
      0.0,
      0.40798498419090645,
      1.69960251612918,
      3.339939549183039,
      6.55312369703506,
      2.8165381601371817
    ],
    [
      0.0,
      0.40797933277148896,
      1.7023138155452702,
      3.3387727116564205,
      6.553389412102258,
      2.8146762414585473
    ],
    [
      0.0,
      0.40798410083272063,
      1.7011575621089174,
      3.3364366960066225,
      6.555357625555457,
      2.8134183683816953
    ],
    [
      0.0,
      0.4079833498717003,
      1.70200850472879,
      3.338579528286116,
      6.552712246056929,
      2.81425607882595
    ],
    [
      0.0,
      0.4079787337424807,
      1.7025515093085966,
      3.3400728553046832,
      6.554232659414236,
      2.8138987055175133
    ],
    [
      0.0,
      0.4079753262034275,
      1.7030657204293138,
      3.340094698510013,
      6.554503260429961,
      2.8142884296353206
    ],
    [
      0.0,
      0.40796917520483456,
      1.7041496864495793,
      3.3401554632237356,
      6.554988910484063,
      2.8150269885980492
    ],
    [
      0.0,
      0.4079589855087388,
      1.7064091480702308,
      3.3404010211472546,
      6.555925103119873,
      2.8163679128463404
    ],
    [
      0.0,
      0.4079439446717851,
      1.7110301864344013,
      3.3421261947889294,
      6.558103555827556,
      2.8178792447567163
    ],
    [
      0.0,
      0.4079413093354875,
      1.7190114697980012,
      3.339339852386424,
      6.550937457764261,
      2.8194986429267646
    ],
    [
      0.0,
      0.40792840995092494,
      1.722791141034326,
      3.3427685711833126,
      6.553083155767857,
      2.8186536856293065
    ],
    [
      0.0,
      0.40792945776664524,
      1.7259013842713884,
      3.3432491809368967,
      6.556538317253248,
      2.821738691363651
    ],
    [
      0.0,
      0.4079365880932449,
      1.722449356857355,
      3.3436954171067326,
      6.552527887014385,
      2.8194757664173253
    ],
    [
      0.0,
      0.4079167654782616,
      1.7239459474101269,
      3.3419665219458023,
      6.554019455592907,
      2.81642064243836
    ],
    [
      0.0,
      0.40791338583807735,
      1.7252685139871147,
      3.3419031989061354,
      6.554746738184437,
      2.8140631293685896
    ],
    [
      0.0,
      0.4079122746328136,
      1.7257102663410668,
      3.339139013611957,
      6.554691844648951,
      2.8140296447902324
    ],
    [
      0.0,
      0.40791641594129424,
      1.7262073895070595,
      3.339071835946319,
      6.553583368825989,
      2.8133370864396348
    ],
    [
      0.0,
      0.4079137948259632,
      1.7254107814412716,
      3.3390937137450796,
      6.554668909770136,
      2.813855774987825
    ],
    [
      0.0,
      0.40790902521752814,
      1.7261453845993058,
      3.3391478770634797,
      6.555191067802285,
      2.814256293822326
    ],
    [
      0.0,
      0.40790289546251024,
      1.726831008120289,
      3.3391264708258874,
      6.555833365276559,
      2.8152940395113113
    ],
    [
      0.0,
      0.40789230299996493,
      1.7282421633478493,
      3.339057631503442,
      6.5578673205307965,
      2.8166005340942224
    ],
    [
      0.0,
      0.40789696244836127,
      1.7286118544335864,
      3.3381194084127968,
      6.560337953400706,
      2.8215238499641857
    ],
    [
      0.0,
      0.4078867842023944,
      1.730936507168274,
      3.3394464403636404,
      6.557212274405056,
      2.816584608620217
    ],
    [
      0.0,
      0.4078797241183276,
      1.7322026463843492,
      3.3389005488941272,
      6.559132988599703,
      2.815084691632011
    ],
    [
      0.0,
      0.40787345495261623,
      1.7347949729272751,
      3.3378940536467336,
      6.55914545611817,
      2.8147581109026367
    ],
    [
      0.0,
      0.40786626829247036,
      1.736798746669289,
      3.339534300811334,
      6.560113111498744,
      2.814313000697988
    ],
    [
      0.0,
      0.4078625047919942,
      1.739002048627984,
      3.33993039941171,
      6.561087543254407,
      2.8129422165679574
    ],
    [
      0.0,
      0.4078620080970202,
      1.740535742789587,
      3.3411460742246453,
      6.559099984865361,
      2.8131862014404203
    ],
    [
      0.0,
      0.40785521103876093,
      1.7412686475785286,
      3.34120009029086,
      6.559759428430085,
      2.8141787068660378
    ],
    [
      0.0,
      0.40784548226469236,
      1.7427004758608176,
      3.341614634408815,
      6.561205397824518,
      2.816056789253652
    ],
    [
      0.0,
      0.40784306437690737,
      1.7458990970064954,
      3.3439556608885512,
      6.563488452894655,
      2.819287281063628
    ],
    [
      0.0,
      0.40782640101040624,
      1.74920474436561,
      3.339454259622022,
      6.563307751572558,
      2.819657995518512
    ],
    [
      0.0,
      0.4078125763681586,
      1.7544751792046567,
      3.337736351880878,
      6.56257555866977,
      2.819966545600973
    ],
    [
      0.0,
      0.40779369186949743,
      1.757414712832496,
      3.3351972876475826,
      6.5665448903146375,
      2.8206853648849743
    ],
    [
      1.0,
      0.42389157223739693,
      4.027206223948849,
      0.3596179291560233,
      0.4119640988194839,
      2.5342168676551733
    ],
    [
      1.0,
      0.4202198459213049,
      4.7272062239488495,
      0.3596179291560233,
      0.4119640988194839,
      2.5342168676551733
    ],
    [
      1.0,
      0.49554684785844505,
      4.7272062239488495,
      1.0596179291560233,
      0.4119640988194839,
      2.5342168676551733
    ],
    [
      1.0,
      0.4175653366584097,
      4.7272062239488495,
      0.3596179291560233,
      1.1119640988194839,
      2.5342168676551733
    ],
    [
      1.0,
      0.5071253484796153,
      4.7272062239488495,
      0.3596179291560233,
      1.1119640988194839,
      3.2342168676551735
    ],
    [
      1.0,
      0.49499364686142305,
      4.749152440258134,
      -0.09061788259204151,
      1.1278303234406326,
      1.9989091614472967
    ],
    [
      1.0,
      0.43495640738033453,
      4.732468794346971,
      0.6851645867040266,
      1.1157687238557312,
      2.405853306079228
    ],
    [
      1.0,
      0.41717122699928605,
      4.8146327821456145,
      0.3596179291560233,
      1.1119640988194839,
      2.5378011279509094
    ],
    [
      1.0,
      0.42946281670202646,
      4.812998334717448,
      0.362948671480613,
      1.1166210744325848,
      2.712699805233817
    ],
    [
      1.0,
      0.41707175609231883,
      4.814670350504922,
      0.35884719854303193,
      1.1469435906325773,
      2.536884768066202
    ],
    [
      1.0,
      0.4192120562056214,
      4.819499926839444,
      0.3056866624484322,
      1.1464563838200197,
      2.4916034780659646
    ],
    [
      1.0,
      0.41755543722030475,
      4.815760112008482,
      0.3815894786633241,
      1.1467471682607016,
      2.510303524057553
    ],
    [
      1.0,
      0.4196683732089683,
      4.821316361966665,
      0.3883231595391128,
      1.1550384254192105,
      2.5995064249013975
    ],
    [
      1.0,
      0.4171932407813891,
      4.81838515596193,
      0.32715379457560173,
      1.147837605306214,
      2.5225345379935797
    ],
    [
      1.0,
      0.41704037116066084,
      4.823353515825871,
      0.35946522327381714,
      1.1469710548884002,
      2.537769319452987
    ],
    [
      1.0,
      0.41699858158011327,
      4.825700729317374,
      0.3563368156107319,
      1.1503573648235321,
      2.554487170969916
    ],
    [
      1.0,
      0.4172439318905581,
      4.835130600037389,
      0.3663324263404933,
      1.159229796790927,
      2.5607077220167955
    ],
    [
      1.0,
      0.4169419170578571,
      4.82593266045407,
      0.3543241509200249,
      1.1530471981924926,
      2.553533134682431
    ],
    [
      1.0,
      0.416809719605034,
      4.827400417099325,
      0.3475315169529049,
      1.1528068879274354,
      2.5527281097166394
    ],
    [
      1.0,
      0.4167204932154624,
      4.825073324122475,
      0.34114858452991,
      1.1544338056870387,
      2.552285446679936
    ],
    [
      1.0,
      0.41664027911127544,
      4.829002001114011,
      0.335840865391183,
      1.156449276374636,
      2.551131543500286
    ],
    [
      1.0,
      0.41658698851547954,
      4.829933687464209,
      0.3302926667463074,
      1.152522301111046,
      2.5525201822657713
    ],
    [
      1.0,
      0.4165248070253425,
      4.83028327950832,
      0.3240225284382048,
      1.155339985973874,
      2.553794467561044
    ],
    [
      1.0,
      0.41645260316042465,
      4.835526808229797,
      0.32207677327273776,
      1.1561096927751664,
      2.557932944916685
    ],
    [
      1.0,
      0.4163925427788258,
      4.840511580729009,
      0.3173325484748786,
      1.156788013278351,
      2.559021179952618
    ],
    [
      1.0,
      0.4163160416876978,
      4.842013205092566,
      0.31342872946881806,
      1.1573064988097526,
      2.5646101417696663
    ],
    [
      1.0,
      0.41617399480825784,
      4.847054557644317,
      0.3037493525924061,
      1.1584817848987767,
      2.5732999709016044
    ],
    [
      1.0,
      0.4159319783137729,
      4.85939211154231,
      0.2826979528732811,
      1.1609229886331858,
      2.5868152902839516
    ],
    [
      1.0,
      0.4157944318646365,
      4.871394756530753,
      0.28603220373052596,
      1.2070304814564248,
      2.6160542777845017
    ],
    [
      1.0,
      0.41698497514665356,
      4.896322566571445,
      0.28815284895299903,
      1.1824719603204312,
      2.659723330785781
    ],
    [
      1.0,
      0.41555108502648636,
      4.87498383010825,
      0.2666757663549825,
      1.21961960783101,
      2.600628300340375
    ],
    [
      1.0,
      0.41558231208244556,
      4.850878640838873,
      0.25479421661600254,
      1.2234604305619454,
      2.607485173303849
    ],
    [
      1.0,
      0.41559383382934767,
      4.872208549832374,
      0.2710236738353132,
      1.222438177388313,
      2.59682709190312
    ],
    [
      1.0,
      0.41556794642057127,
      4.882373210626394,
      0.2554033329507112,
      1.2231601516720316,
      2.5992889534793453
    ],
    [
      1.0,
      0.41552129001057786,
      4.875594818728193,
      0.26755022935048833,
      1.2220081706051473,
      2.602953547692765
    ],
    [
      1.0,
      0.4154835573355599,
      4.877548495633919,
      0.26888625722563714,
      1.2218940439432524,
      2.60954028825012
    ],
    [
      1.0,
      0.41548344269543247,
      4.878841394317815,
      0.27204076583851045,
      1.2268165531871147,
      2.6131660834937294
    ],
    [
      1.0,
      0.41553576034560047,
      4.880213964603635,
      0.27451177949469935,
      1.2218844888797409,
      2.617250796946267
    ],
    [
      1.0,
      0.41546523114896744,
      4.882200271721709,
      0.2717276042051799,
      1.2268219963265492,
      2.612233429887478
    ],
    [
      1.0,
      0.41540401899180773,
      4.883628350826316,
      0.26555633943466517,
      1.2287099222198623,
      2.6145381678388615
    ],
    [
      1.0,
      0.4153592648593815,
      4.886202091354878,
      0.26040779870206204,
      1.2324187863698068,
      2.613084649784753
    ],
    [
      1.0,
      0.41531164383924035,
      4.890312728534892,
      0.2555505547738559,
      1.232320447054078,
      2.616000155362724
    ],
    [
      1.0,
      0.4152671435212612,
      4.890611490331497,
      0.2506071900749751,
      1.235674466589753,
      2.6196366976486134
    ],
    [
      1.0,
      0.4152190367345777,
      4.89476906518598,
      0.24654047047706587,
      1.2388886413043225,
      2.6218379345612544
    ],
    [
      1.0,
      0.4151694846501084,
      4.900540148023185,
      0.23476519131303086,
      1.2425877902537965,
      2.6250556512275827
    ],
    [
      1.0,
      0.41506070442106674,
      4.905567483101577,
      0.23744090074391513,
      1.2447328263928652,
      2.6376637954610986
    ],
    [
      1.0,
      0.4150268760815949,
      4.909079442309512,
      0.23954974649267657,
      1.2563998630804762,
      2.6442287910482767
    ],
    [
      1.0,
      0.41506679440035754,
      4.910012007740329,
      0.2349122245611562,
      1.2536741016138695,
      2.6571204137730957
    ],
    [
      1.0,
      0.4149980218038616,
      4.912071204106785,
      0.23793869991861025,
      1.2562555525042571,
      2.643402313739359
    ],
    [
      1.0,
      0.41501977276983265,
      4.917355297644797,
      0.2423031272518516,
      1.254833228735952,
      2.6433179062011827
    ],
    [
      1.0,
      0.4149887785924544,
      4.912661644191844,
      0.23832557362416185,
      1.2595886860286252,
      2.6442035191753375
    ],
    [
      1.0,
      0.414935570678657,
      4.915002200334743,
      0.23326860662699359,
      1.2622376593593532,
      2.6408971885771395
    ],
    [
      1.0,
      0.4149338377371446,
      4.915643570060894,
      0.22935538140833578,
      1.2660097608389582,
      2.6365329516804987
    ],
    [
      1.0,
      0.41489344275571055,
      4.918380366975666,
      0.22462477056651375,
      1.2658257875595236,
      2.6409030108955416
    ],
    [
      1.0,
      0.4148687555996953,
      4.919777929297692,
      0.21876976450596622,
      1.2685271654021244,
      2.6432414465560865
    ],
    [
      1.0,
      0.41484142346313757,
      4.926759840675382,
      0.21836861296167795,
      1.2687647422691533,
      2.6430529042933135
    ],
    [
      1.0,
      0.4148874623074439,
      4.928583893635213,
      0.21385186410800172,
      1.2639970629998725,
      2.641458838743276
    ],
    [
      1.0,
      0.41486894962100196,
      4.92655044276693,
      0.21711332558559726,
      1.2707409116100932,
      2.640459612783414
    ],
    [
      1.0,
      0.414783496793734,
      4.929010276419699,
      0.22031957241746375,
      1.270822619908832,
      2.6490441008167718
    ],
    [
      1.0,
      0.4147581170110617,
      4.930761684653233,
      0.22124742574292397,
      1.273712498820915,
      2.6551038250084686
    ],
    [
      1.0,
      0.4148023148757415,
      4.933002201717244,
      0.22771089761091745,
      1.2723245355966528,
      2.655630297026365
    ],
    [
      1.0,
      0.4147404697985893,
      4.9339650500601655,
      0.22004999607660017,
      1.273130898317032,
      2.654638687267835
    ],
    [
      1.0,
      0.4147418393997411,
      4.933948664669812,
      0.21685426433233967,
      1.268297974571976,
      2.658566775633972
    ],
    [
      1.0,
      0.4146954264649352,
      4.936790244472907,
      0.21519235518470217,
      1.277217582977673,
      2.655487574763359
    ],
    [
      1.0,
      0.414651116282266,
      4.9419125491118905,
      0.21220305814602788,
      1.2806388060285407,
      2.656944053817872
    ],
    [
      1.0,
      0.41456381696998534,
      4.947355701910543,
      0.20613581359188438,
      1.2902058207805276,
      2.66311113253198
    ],
    [
      1.0,
      0.41439150323027835,
      4.967111041306006,
      0.1952614454989295,
      1.3048511949580068,
      2.6709205946869954
    ],
    [
      1.0,
      0.41433507038746265,
      4.992247967902297,
      0.15984789501069913,
      1.338747908685808,
      2.6809718713007262
    ],
    [
      1.0,
      0.4142198969172673,
      5.010394636983679,
      0.2001051097997837,
      1.3656270585679744,
      2.702502462567302
    ],
    [
      1.0,
      0.41396434812886945,
      5.05837296708086,
      0.20622645422378882,
      1.343873932213552,
      2.6845188456525344
    ],
    [
      1.0,
      0.41379396260279305,
      5.093983307111735,
      0.2112212099852597,
      1.369791596664898,
      2.6502955967249977
    ],
    [
      1.0,
      0.4134932531399312,
      5.149269381294678,
      0.20953011540030198,
      1.369690353268455,
      2.659046593829184
    ],
    [
      1.0,
      0.4130629039971074,
      5.260513492986787,
      0.2162081003319341,
      1.3651771303529958,
      2.669233985546495
    ],
    [
      1.0,
      0.41415016138437377,
      5.41823053516361,
      0.3107738631745711,
      1.3854768392696575,
      2.5429542448004705
    ],
    [
      1.0,
      0.4140661430956581,
      5.273989429541407,
      0.21434199140865792,
      1.4555528383317655,
      2.733973063226042
    ],
    [
      1.0,
      0.41306542783568995,
      5.262077088654005,
      0.18828898370631472,
      1.3638951919140712,
      2.6698933255751056
    ],
    [
      1.0,
      0.41353396265442705,
      5.2826323985090555,
      0.2181994473766764,
      1.3366886219180758,
      2.6264415394537806
    ],
    [
      1.0,
      0.4131599014399266,
      5.2593236012785605,
      0.2168587771503853,
      1.35331556869375,
      2.676545902696226
    ],
    [
      1.0,
      0.4130198049259444,
      5.2687080614283595,
      0.2160383378951836,
      1.3891856681466246,
      2.681083472530468
    ],
    [
      1.0,
      0.41286281966607913,
      5.2832299947889725,
      0.21612344275820652,
      1.40032028824224,
      2.659890869010407
    ],
    [
      1.0,
      0.4129254764229176,
      5.30366907472115,
      0.21686562794064163,
      1.410086623100133,
      2.6434497049359105
    ],
    [
      1.0,
      0.4128859507777536,
      5.282676146848632,
      0.22309151392782536,
      1.4006472999825668,
      2.659711147125828
    ],
    [
      1.0,
      0.4129311885627374,
      5.27342134649934,
      0.21333548804672345,
      1.40756572014594,
      2.6536042607208863
    ],
    [
      1.0,
      0.41284324581850723,
      5.284007683492883,
      0.2161064565139937,
      1.4030927905427886,
      2.6618803771759523
    ],
    [
      1.0,
      0.4128052264584335,
      5.290332107593721,
      0.2143474251079445,
      1.405418870484512,
      2.662585232061717
    ],
    [
      1.0,
      0.41276901117534387,
      5.2936855518748445,
      0.21200343894580734,
      1.4062094128854647,
      2.668209748310907
    ],
    [
      1.0,
      0.41273439876188006,
      5.30013710298085,
      0.20949049659910043,
      1.406191917026008,
      2.6692404291459013
    ],
    [
      1.0,
      0.41269231093534503,
      5.304155482763855,
      0.20615927294671593,
      1.4101217035776887,
      2.6717528683104503
    ],
    [
      1.0,
      0.41261331587981165,
      5.313895446319304,
      0.20292737794138963,
      1.4173555104788427,
      2.6779464135254227
    ],
    [
      1.0,
      0.41246545836931087,
      5.330046669426411,
      0.18622083020549243,
      1.428271374178569,
      2.6891210801683996
    ],
    [
      1.0,
      0.4123090151645399,
      5.3723278046502365,
      0.17794364525112205,
      1.450291140200618,
      2.7173154717693886
    ],
    [
      1.0,
      0.4124849236479088,
      5.389008712783947,
      0.16374081120376907,
      1.483940563817669,
      2.678280319674151
    ],
    [
      1.0,
      0.4122496821081229,
      5.373245831620573,
      0.1540428249349034,
      1.4410762785517823,
      2.7285846482914944
    ],
    [
      1.0,
      0.4123657044475029,
      5.357602510634716,
      0.150827304511555,
      1.4588194689111993,
      2.7432176976254494
    ],
    [
      1.0,
      0.4123339500150192,
      5.372731923967914,
      0.15765917291593073,
      1.4373986460214185,
      2.7332892147089516
    ],
    [
      1.0,
      0.4122097140753778,
      5.379246938350746,
      0.1459214921791382,
      1.4452228621815866,
      2.7198190041917
    ],
    [
      1.0,
      0.41222650120248305,
      5.391359054535798,
      0.14149763880922508,
      1.4399787073513006,
      2.718327359797989
    ],
    [
      1.0,
      0.41223524603918366,
      5.377894137588131,
      0.14586325074873763,
      1.4427308976890696,
      2.7177679920024413
    ],
    [
      1.0,
      0.412191997228319,
      5.379860287394373,
      0.14288969224857404,
      1.4510268945073665,
      2.722215919061489
    ],
    [
      1.0,
      0.41225368652916633,
      5.376824125855639,
      0.1374739275548898,
      1.4535117768072456,
      2.7201479307034213
    ],
    [
      1.0,
      0.41219165555533255,
      5.38073171650546,
      0.1441814109525591,
      1.452703134261702,
      2.7195678453502588
    ],
    [
      1.0,
      0.41214278367198753,
      5.383053627053273,
      0.14875087992478286,
      1.4548311216010479,
      2.7238340327117587
    ],
    [
      1.0,
      0.41213859756966975,
      5.385024673437381,
      0.15276006959626437,
      1.4579079005365394,
      2.728258375116218
    ],
    [
      1.0,
      0.412105552585031,
      5.3863424068472225,
      0.1546806598744306,
      1.462307654102057,
      2.723337289849052
    ],
    [
      1.0,
      0.4120813110889991,
      5.3866633054133395,
      0.15125588055760106,
      1.4683757500940822,
      2.722748968701337
    ],
    [
      1.0,
      0.41207281666052764,
      5.384047297793102,
      0.15292383197792972,
      1.473861080781821,
      2.7197017421858916
    ],
    [
      1.0,
      0.41205437305945314,
      5.389692858478007,
      0.15209286084708945,
      1.4767531452392397,
      2.7168604230016227
    ],
    [
      1.0,
      0.412014877686346,
      5.392846971860633,
      0.15206544771523658,
      1.4820892676074517,
      2.720112593870628
    ],
    [
      1.0,
      0.41195908919403645,
      5.399086106218892,
      0.15250660228421825,
      1.4925748286893235,
      2.7269632576270975
    ],
    [
      1.0,
      0.4118216032752332,
      5.41856885566163,
      0.14795878584483618,
      1.5121635963629996,
      2.726821762708776
    ],
    [
      1.0,
      0.41161767146898426,
      5.458845810797403,
      0.13766823504883452,
      1.5496794963679046,
      2.7261670138043383
    ],
    [
      1.0,
      0.41311721563342824,
      5.470222554018088,
      0.1631417632352084,
      1.6366903585717967,
      2.790934126863081
    ],
    [
      1.0,
      0.412102766581881,
      5.4566927193170605,
      0.162898535986478,
      1.5629499600479901,
      2.678014226705472
    ],
    [
      1.0,
      0.41178029283798595,
      5.450848552361675,
      0.12828710310848196,
      1.555641228658249,
      2.7232522292277115
    ],
    [
      1.0,
      0.411720857090827,
      5.4782723333611445,
      0.12811690848036855,
      1.5319212549264778,
      2.726001959961795
    ],
    [
      1.0,
      0.41158554274810855,
      5.463311712316923,
      0.13693934057416463,
      1.5549488892350116,
      2.727037608586558
    ],
    [
      1.0,
      0.4115304273085135,
      5.46521277906301,
      0.1447248079487946,
      1.5566976046360406,
      2.738382847122248
    ],
    [
      1.0,
      0.41151525954341595,
      5.469799783692451,
      0.15626657576767516,
      1.5595325989918847,
      2.732576833761354
    ],
    [
      1.0,
      0.4115310463365867,
      5.470207942385922,
      0.15773851665132851,
      1.565508063913606,
      2.735887515788558
    ],
    [
      1.0,
      0.4115310704398331,
      5.46650827850257,
      0.15742571726169133,
      1.5596139760419288,
      2.7323203920378294
    ],
    [
      1.0,
      0.4115524446696475,
      5.4740999237225525,
      0.15810500064132857,
      1.5550919032992672,
      2.7352988204385835
    ],
    [
      1.0,
      0.411468204753736,
      5.471871770877443,
      0.15295649010841675,
      1.5616775553019007,
      2.727177818623227
    ],
    [
      1.0,
      0.4114722907722642,
      5.473311626470114,
      0.14960132847854954,
      1.5642247589725926,
      2.7217758319729537
    ],
    [
      1.0,
      0.41146416731192303,
      5.4728416252643255,
      0.15594896952940726,
      1.5618337872721775,
      2.725651371455895
    ],
    [
      1.0,
      0.4114576481540338,
      5.478580272334795,
      0.15507661169721287,
      1.5579576936294222,
      2.7261831793966005
    ],
    [
      1.0,
      0.4114831215940305,
      5.4759038313364155,
      0.15554085354254044,
      1.5523263001145067,
      2.7230353944338987
    ],
    [
      1.0,
      0.41144403265842877,
      5.483126601496235,
      0.15717393156213702,
      1.5618273260381228,
      2.72917618550444
    ],
    [
      1.0,
      0.41145664449436264,
      5.488305883536742,
      0.1609761773503411,
      1.563446893808455,
      2.731433388363793
    ],
    [
      1.0,
      0.4114723285547362,
      5.482046339885744,
      0.15731967402818212,
      1.5606203904378813,
      2.732275395152618
    ],
    [
      1.0,
      0.41140927020133605,
      5.485506755497808,
      0.1520711434134538,
      1.5653311005842634,
      2.7269356534318576
    ],
    [
      1.0,
      0.4114101916690287,
      5.488486758967109,
      0.14824860883639296,
      1.5682758777004366,
      2.7228324721701784
    ],
    [
      1.0,
      0.4114107428730287,
      5.485427162754255,
      0.1496610091480358,
      1.565705618126162,
      2.7294445684221755
    ],
    [
      1.0,
      0.4114092460745261,
      5.486127987272803,
      0.15201924399963268,
      1.5647201381897056,
      2.7269967065646035
    ],
    [
      1.0,
      0.4114032155604471,
      5.487100510393983,
      0.15292068248310065,
      1.5656841457387856,
      2.727608913134814
    ],
    [
      1.0,
      0.41139863756763767,
      5.488059145739444,
      0.15391375941194071,
      1.566609376229877,
      2.7281577892831317
    ],
    [
      1.0,
      0.41139432505227497,
      5.490990802983188,
      0.15554697916464397,
      1.566777395078526,
      2.7291374569365128
    ],
    [
      1.0,
      0.41139654359678707,
      5.490864513639902,
      0.15813527696742377,
      1.5691203212945601,
      2.7293506756789294
    ],
    [
      1.0,
      0.4114003544432975,
      5.490645003928374,
      0.15599346725829283,
      1.566230539057385,
      2.7295217028057954
    ],
    [
      1.0,
      0.4113839170297173,
      5.491975408960858,
      0.15506760708652115,
      1.567269710762853,
      2.7278643195729817
    ],
    [
      1.0,
      0.41136740344495465,
      5.4939982199768,
      0.15314662342893842,
      1.569127690454001,
      2.7268563667723185
    ],
    [
      1.0,
      0.4113598667074064,
      5.496122726861715,
      0.1523574299635729,
      1.5697953187344247,
      2.724274135828087
    ],
    [
      1.0,
      0.41135249973180954,
      5.498643336116971,
      0.1503468632818399,
      1.5701548960164022,
      2.725587473095856
    ],
    [
      1.0,
      0.4113620687998564,
      5.4978473515584945,
      0.14746293860853407,
      1.571826144936062,
      2.724875915571898
    ],
    [
      1.0,
      0.4113566517202271,
      5.498541279610502,
      0.1499724237520401,
      1.5693887928071741,
      2.7254198712437745
    ],
    [
      1.0,
      0.4113434709462376,
      5.499916527078358,
      0.15125360169190985,
      1.5709150797876779,
      2.725791018828891
    ],
    [
      1.0,
      0.4113276145940883,
      5.502615714410194,
      0.15304794700171886,
      1.572217541190811,
      2.7260108072502653
    ],
    [
      1.0,
      0.41130990191846434,
      5.5090593133167145,
      0.15552413339798565,
      1.5711627937872064,
      2.7264966487649716
    ],
    [
      1.0,
      0.41128787785550586,
      5.511178868684755,
      0.15897847690318148,
      1.5768504631240012,
      2.7260218714432694
    ],
    [
      1.0,
      0.4112686634377364,
      5.516727248217886,
      0.16251343240098423,
      1.5790849769372939,
      2.7251695087252332
    ],
    [
      1.0,
      0.4113168965369273,
      5.518479588566111,
      0.16507707672063646,
      1.5809914051645904,
      2.7311463442190766
    ],
    [
      1.0,
      0.4112600198153612,
      5.517429115565073,
      0.1610591183497841,
      1.5797245470947985,
      2.7253835248018823
    ],
    [
      1.0,
      0.4112424971612011,
      5.518337155368266,
      0.15980387119842027,
      1.581164147855073,
      2.722594731522374
    ],
    [
      1.0,
      0.41124148636387964,
      5.520551602593966,
      0.1585347972235981,
      1.5790443642096474,
      2.7214801948349554
    ],
    [
      1.0,
      0.411235548515062,
      5.521328564817265,
      0.1578316767535353,
      1.5803769536713972,
      2.7210458486198483
    ],
    [
      1.0,
      0.41123257346489334,
      5.521819771600814,
      0.1584263986953262,
      1.581132274413675,
      2.7196685279295103
    ],
    [
      1.0,
      0.41123841455659016,
      5.521245352989354,
      0.1572176012990982,
      1.5816571762977145,
      2.718670615044629
    ],
    [
      1.0,
      0.41123297051817775,
      5.522039425995469,
      0.15830482396463377,
      1.580908478973826,
      2.719571640712248
    ],
    [
      1.0,
      0.4112289142304824,
      5.522280529931852,
      0.15865884520018236,
      1.5815272256382642,
      2.7199286892505303
    ],
    [
      1.0,
      0.4112224488453575,
      5.523121692974852,
      0.159437024787487,
      1.5821980083246026,
      2.720372459295375
    ],
    [
      1.0,
      0.41121311036952257,
      5.5246756330989815,
      0.1612855016472263,
      1.583378846825492,
      2.7211560560184713
    ],
    [
      1.0,
      0.41120141434927804,
      5.525965607823945,
      0.1602399290546154,
      1.5855760070073825,
      2.7216612592425804
    ],
    [
      1.0,
      0.41118950602396753,
      5.527582695676643,
      0.16056485927675287,
      1.587745095389808,
      2.722305078174131
    ],
    [
      1.0,
      0.41117553935108425,
      5.532870131840258,
      0.15936900793627728,
      1.586370771005984,
      2.7220149215350307
    ],
    [
      1.0,
      0.41115097138965223,
      5.53711139420007,
      0.15998273683193986,
      1.589807816709504,
      2.7231020035327558
    ],
    [
      1.0,
      0.4111127730252741,
      5.5434466230673545,
      0.15970767702710978,
      1.596992378891914,
      2.7173044796173262
    ],
    [
      1.0,
      0.4110608865691087,
      5.551691690397676,
      0.15839616804587028,
      1.6042583102889143,
      2.7190205943700967
    ],
    [
      1.0,
      0.41096750209976013,
      5.567271978675161,
      0.15330793740089133,
      1.6190140198864966,
      2.7229440571730006
    ],
    [
      1.0,
      0.4110181369290947,
      5.591197400287195,
      0.1789129421449887,
      1.6450095952678343,
      2.733104174954522
    ],
    [
      1.0,
      0.4112193166169169,
      5.5785283935894725,
      0.1360037872927376,
      1.6227600822171515,
      2.715096348633165
    ],
    [
      1.0,
      0.4109774808456084,
      5.563366062145175,
      0.151718715393968,
      1.6226824926138173,
      2.7225969299306305
    ],
    [
      1.0,
      0.41094868084825303,
      5.568886259735225,
      0.1626539600025766,
      1.6234495572600551,
      2.726920483507748
    ],
    [
      1.0,
      0.4109786636389471,
      5.568439925858325,
      0.16109209301183233,
      1.62255108941454,
      2.7322038643480933
    ],
    [
      1.0,
      0.41094089015405405,
      5.569873800667204,
      0.1620788021765791,
      1.6242566453015743,
      2.726971132062483
    ],
    [
      1.0,
      0.4109254311425668,
      5.571883645990959,
      0.16246301143976932,
      1.625487771717773,
      2.7255092043064026
    ],
    [
      1.0,
      0.410911790027873,
      5.574327519550114,
      0.1624270242389316,
      1.6268261453380126,
      2.7252354471131
    ],
    [
      1.0,
      0.41088740325860545,
      5.578439373832921,
      0.16414057217690645,
      1.6289877112645101,
      2.722619335386391
    ],
    [
      1.0,
      0.41084139631409344,
      5.588235977783175,
      0.16600884739679378,
      1.6340813383913724,
      2.722443092834441
    ],
    [
      1.0,
      0.4107803121945165,
      5.604594771712639,
      0.17746491210829338,
      1.6425798200807058,
      2.716903756098394
    ],
    [
      1.0,
      0.4108103743064232,
      5.619145906687424,
      0.1735555261779173,
      1.6500154294341345,
      2.7317176983872025
    ],
    [
      1.0,
      0.4107731325530976,
      5.602006063994509,
      0.17750814244213686,
      1.6475449865778922,
      2.7169657653198396
    ],
    [
      1.0,
      0.41074186788670564,
      5.605246743923826,
      0.17180999094133245,
      1.6508775435088132,
      2.708518095382409
    ],
    [
      1.0,
      0.410771092524447,
      5.6073475366619725,
      0.17492178356044236,
      1.6559528530010916,
      2.699266898155855
    ],
    [
      1.0,
      0.41075920175956254,
      5.603002140642777,
      0.17163832036212426,
      1.6497237529550586,
      2.7073176568454547
    ],
    [
      1.0,
      0.4107293803955665,
      5.607740399214479,
      0.16789651312523685,
      1.6530295438557445,
      2.710797408695916
    ],
    [
      1.0,
      0.4107326059585919,
      5.608498097494139,
      0.16308540119197076,
      1.65513081476292,
      2.7125928907641206
    ],
    [
      1.0,
      0.4107354147975552,
      5.608413466656358,
      0.16737245478527482,
      1.652084172469384,
      2.71021550147234
    ],
    [
      1.0,
      0.41071167746611553,
      5.6088023635075555,
      0.16931333879089075,
      1.653650751470931,
      2.7128756141651156
    ],
    [
      1.0,
      0.4107055492505038,
      5.608851416551366,
      0.17067428059876857,
      1.65405960389934,
      2.7152877233845016
    ],
    [
      1.0,
      0.41070063590646494,
      5.611385976267491,
      0.17091345473587433,
      1.6529954747967162,
      2.715763572131991
    ],
    [
      1.0,
      0.4107077043216437,
      5.611617229875411,
      0.17194177930475657,
      1.6522669269515513,
      2.7182532083277358
    ],
    [
      1.0,
      0.41070199861840306,
      5.61129878189901,
      0.17150587187411728,
      1.6527879977531117,
      2.715466263617484
    ],
    [
      1.0,
      0.4106947936810651,
      5.61206602207981,
      0.1711661456687361,
      1.6541894458669897,
      2.715673471804877
    ],
    [
      1.0,
      0.41068880231623356,
      5.6130414618880335,
      0.17075526090546014,
      1.6549916463168506,
      2.7152305662505154
    ],
    [
      1.0,
      0.4106760879900882,
      5.615046444843887,
      0.17035367094827072,
      1.6569036539910071,
      2.715285297475506
    ],
    [
      1.0,
      0.41065122637591295,
      5.619123127496991,
      0.16979833434199584,
      1.6606930507707651,
      2.7150156090531206
    ],
    [
      1.0,
      0.41060977309219343,
      5.627244466540538,
      0.165247532198243,
      1.6667595589056654,
      2.716419721241432
    ],
    [
      1.0,
      0.41053051051135236,
      5.642738964535862,
      0.16799662869202658,
      1.681744161147243,
      2.7109805396851265
    ],
    [
      1.0,
      0.4110746815923083,
      5.6536687917923585,
      0.18765158899962098,
      1.6988292323468603,
      2.745756418589247
    ],
    [
      1.0,
      0.4109778637785038,
      5.649262176784217,
      0.15465482901448105,
      1.6792954773602349,
      2.694391144547316
    ],
    [
      1.0,
      0.4105514239786886,
      5.635398229780193,
      0.16537735866176645,
      1.6897463501444343,
      2.7101693621406207
    ],
    [
      1.0,
      0.4105360571430347,
      5.6419803074032275,
      0.16995411061163068,
      1.6815027240179088,
      2.709143582417767
    ],
    [
      1.0,
      0.4105016818492296,
      5.643388274465377,
      0.17151022922216216,
      1.6832374020829748,
      2.715025689798277
    ],
    [
      1.0,
      0.410489825224194,
      5.6469089725330495,
      0.17364288271885522,
      1.6851493418377588,
      2.7183060801033183
    ],
    [
      1.0,
      0.41053170140000833,
      5.645243267897044,
      0.17512506461375635,
      1.682830115173145,
      2.7228897197678386
    ],
    [
      1.0,
      0.4104922615745073,
      5.647316491968244,
      0.17455246957686085,
      1.6843386637848385,
      2.717749860045971
    ],
    [
      1.0,
      0.4104869535132978,
      5.646188572606122,
      0.1749975078874787,
      1.6873233907650764,
      2.717434572295296
    ],
    [
      1.0,
      0.41047888154218254,
      5.647157104632765,
      0.17443586808562278,
      1.6879882724343098,
      2.7169203361508485
    ],
    [
      1.0,
      0.4104714570109991,
      5.648111198680079,
      0.17391928042322888,
      1.688817151002394,
      2.7166108170798484
    ],
    [
      1.0,
      0.4104578156136508,
      5.649926576321839,
      0.1730181894426675,
      1.6906711245521027,
      2.716067474517987
    ],
    [
      1.0,
      0.4104340038333931,
      5.6531614242796415,
      0.17171347301236423,
      1.6949359126527268,
      2.7150649496139723
    ],
    [
      1.0,
      0.41039849582648696,
      5.654596668667792,
      0.1739901726557245,
      1.7056575443712518,
      2.7132640260807475
    ],
    [
      1.0,
      0.4103645566394049,
      5.662041414555986,
      0.1701222552575766,
      1.7129575554901433,
      2.7119355640657137
    ],
    [
      1.0,
      0.4103670728874122,
      5.668076946858201,
      0.1761336239654522,
      1.7121037993807668,
      2.7047142832518554
    ],
    [
      1.0,
      0.41034954814030244,
      5.663221832925704,
      0.17149099199734255,
      1.7128677822559626,
      2.714072176565928
    ],
    [
      1.0,
      0.4103293500563931,
      5.665976572877662,
      0.1731418846813426,
      1.715644654335653,
      2.717723880633351
    ],
    [
      1.0,
      0.41032357029023075,
      5.670067719887202,
      0.17129606302125,
      1.713249402048351,
      2.7200644414690576
    ],
    [
      1.0,
      0.41031807734998554,
      5.671378223939172,
      0.17180298081167028,
      1.7151552267724814,
      2.7215589131497593
    ],
    [
      1.0,
      0.41033651158136136,
      5.671343463008982,
      0.17376954156446503,
      1.7143918579080317,
      2.723399754930057
    ],
    [
      1.0,
      0.4103193847708208,
      5.670983457519199,
      0.1714138137637902,
      1.715196580036198,
      2.7219843522054252
    ],
    [
      1.0,
      0.4103099930321965,
      5.672074784851163,
      0.17106059718150646,
      1.715874697855444,
      2.7209217076865597
    ],
    [
      1.0,
      0.41029666758293853,
      5.6737457179171855,
      0.1698477831902594,
      1.7173547419035522,
      2.719744195679331
    ],
    [
      1.0,
      0.41027658710841886,
      5.678173808375212,
      0.17104964987753618,
      1.7194884170091107,
      2.7173452455119733
    ],
    [
      1.0,
      0.41026703134345655,
      5.6812565137347235,
      0.1680921588547207,
      1.7224940000047233,
      2.7153261750890088
    ],
    [
      1.0,
      0.4102379567643968,
      5.6838582038049585,
      0.1701817869828929,
      1.7261058415230857,
      2.718005589933826
    ],
    [
      1.0,
      0.4102118326706683,
      5.691898941244692,
      0.17420416484836584,
      1.7312015119209994,
      2.7223231310081473
    ],
    [
      1.0,
      0.4101531001835493,
      5.698547024481674,
      0.169457239530356,
      1.738370614962541,
      2.7196187547622896
    ],
    [
      1.0,
      0.4101602358405007,
      5.710291016120959,
      0.15917073373786342,
      1.7533618778775446,
      2.7138491364758974
    ],
    [
      1.0,
      0.41015426211363426,
      5.705239803482497,
      0.16499696353480175,
      1.7310977429979622,
      2.722421963758505
    ],
    [
      1.0,
      0.4101535701348162,
      5.697522525405316,
      0.16798614957154928,
      1.7391086984419404,
      2.7216390341372962
    ],
    [
      1.0,
      0.4101390861049079,
      5.701574323286276,
      0.1671343426513944,
      1.74207387003182,
      2.717862191660881
    ],
    [
      1.0,
      0.4101108628902541,
      5.705342151418777,
      0.1690021328292388,
      1.7452831154513369,
      2.719699465416421
    ],
    [
      1.0,
      0.41007820534306694,
      5.712862919612652,
      0.17277825661224563,
      1.7516738776768839,
      2.7234112160985013
    ],
    [
      1.0,
      0.41002228199145496,
      5.719651406825696,
      0.1692896911652211,
      1.7594776403681829,
      2.7209036993312474
    ],
    [
      1.0,
      0.40999203729723915,
      5.732002339997098,
      0.15951173794870485,
      1.775109401692127,
      2.717861641047382
    ],
    [
      1.0,
      0.4100835858828188,
      5.742177355634251,
      0.16945816234226466,
      1.77174135319502,
      2.7008924351765105
    ],
    [
      1.0,
      0.40999123292969086,
      5.735467087169092,
      0.1576153743691122,
      1.7715125498718254,
      2.7195415187783323
    ],
    [
      1.0,
      0.4099170487678299,
      5.737854893151505,
      0.16111024049317646,
      1.7760460214612253,
      2.7288673929311034
    ],
    [
      1.0,
      0.41006481699527403,
      5.740955734135594,
      0.16426264697844975,
      1.78581427479859,
      2.7485343282612473
    ],
    [
      1.0,
      0.4099368082560806,
      5.742263163063179,
      0.15382340697876862,
      1.7689384892057918,
      2.7304140664445207
    ],
    [
      1.0,
      0.4099217110103223,
      5.7359874999881,
      0.15953098837089688,
      1.7767596999212891,
      2.730029059218462
    ],
    [
      2.0,
      0.45003521622362835,
      4.448077728986498,
      0.6036322993492311,
      2.718336768117295,
      2.0223054067559296
    ],
    [
      2.0,
      0.44898159732501697,
      5.1480777289864985,
      0.6036322993492311,
      2.718336768117295,
      2.0223054067559296
    ],
    [
      2.0,
      0.4956807509067531,
      5.1480777289864985,
      1.303632299349231,
      2.718336768117295,
      2.0223054067559296
    ],
    [
      2.0,
      0.4555020998807735,
      5.1480777289864985,
      0.6036322993492311,
      3.418336768117295,
      2.0223054067559296
    ],
    [
      2.0,
      0.46094299252805765,
      5.1480777289864985,
      0.6036322993492311,
      2.718336768117295,
      2.72230540675593
    ],
    [
      2.0,
      0.4975724071519229,
      5.163235502267982,
      -0.06819997640251396,
      2.6245302698172432,
      1.8502241002637345
    ],
    [
      2.0,
      0.4340169556996038,
      5.154626708084739,
      0.9431713694220587,
      2.6778072796998473,
      1.9479569613419854
    ],
    [
      2.0,
      0.44592993964586397,
      5.166659015563142,
      1.256462087769539,
      2.6033432664138516,
      1.8113580590791636
    ],
    [
      2.0,
      0.43533702219448983,
      5.163476966166823,
      0.9065178967733777,
      2.668957021617763,
      1.8694960232482218
    ],
    [
      2.0,
      0.43340111276553517,
      5.240090315012163,
      0.8734992641666215,
      2.575667550832621,
      2.0375909137660493
    ],
    [
      2.0,
      0.43332386076151497,
      5.275433817072269,
      0.8573271443342555,
      2.6296042858145205,
      2.0595027375547534
    ],
    [
      2.0,
      0.4328458107863648,
      5.22810916278966,
      0.8207465680750303,
      2.637308901991782,
      2.095039724302868
    ],
    [
      2.0,
      0.436601663742039,
      5.211546226362629,
      0.8443829932811131,
      2.63586086175516,
      2.158796227656365
    ],
    [
      2.0,
      0.4322078589496876,
      5.246316398671428,
      0.8031125486260499,
      2.6157126971673175,
      2.1058166374415377
    ],
    [
      2.0,
      0.4316540431909471,
      5.249622175500293,
      0.7458188633229349,
      2.6141486627439696,
      2.065765928830229
    ],
    [
      2.0,
      0.4312573046875404,
      5.26844820267886,
      0.6942551401446834,
      2.5803681108006087,
      2.093072291881181
    ],
    [
      2.0,
      0.4334317171900683,
      5.2234310865867775,
      0.6443815218187101,
      2.5954145076316153,
      2.1057090397314395
    ],
    [
      2.0,
      0.43089391698332136,
      5.2871017250803565,
      0.6880541522562647,
      2.607779054953251,
      2.1024122057932724
    ],
    [
      2.0,
      0.4322553166107449,
      5.351269269226194,
      0.6932394429069837,
      2.595922211664375,
      2.077611917359816
    ],
    [
      2.0,
      0.42923207106305944,
      5.289963188212,
      0.7053334756425977,
      2.6036216065493356,
      2.132428078841137
    ],
    [
      2.0,
      0.4294035849112687,
      5.287537110750366,
      0.7155086090317297,
      2.6054820095642675,
      2.1657765377153573
    ],
    [
      2.0,
      0.42913555184284036,
      5.293835133996357,
      0.6995249460809869,
      2.598882734293927,
      2.13474639933706
    ],
    [
      2.0,
      0.42917810009887397,
      5.3071264411059955,
      0.709637169460173,
      2.594216295607272,
      2.132388764159515
    ],
    [
      2.0,
      0.42911575190496504,
      5.295593035551449,
      0.6986803192579403,
      2.601701186423891,
      2.1354554234858005
    ],
    [
      2.0,
      0.4289793740754191,
      5.295542262240933,
      0.6995638212960354,
      2.6012066784770793,
      2.142381627937747
    ],
    [
      2.0,
      0.4288650344760398,
      5.296695356670736,
      0.6979578588391331,
      2.6006484204607676,
      2.149073384494153
    ],
    [
      2.0,
      0.4288991208779594,
      5.295159476234899,
      0.7018165087022035,
      2.6042076661705535,
      2.161960729546506
    ],
    [
      2.0,
      0.42879832391917283,
      5.300940687052715,
      0.6935249559833929,
      2.6039615256438022,
      2.1496648878885374
    ],
    [
      2.0,
      0.42871822517154984,
      5.301408105396355,
      0.6880494073135387,
      2.6001908897829855,
      2.1518054934246442
    ],
    [
      2.0,
      0.42870966539726674,
      5.299139343205487,
      0.6816132139223439,
      2.601724518740267,
      2.1520813828478143
    ],
    [
      2.0,
      0.42865872658663073,
      5.304540225515852,
      0.6785136808287763,
      2.598795216145182,
      2.1533630033758593
    ],
    [
      2.0,
      0.4287085843782258,
      5.30398537813769,
      0.6765924960900404,
      2.5923735637487217,
      2.1514230100548324
    ],
    [
      2.0,
      0.4287387302026398,
      5.305638533576456,
      0.6782173570287505,
      2.599746713820446,
      2.1501927409602986
    ],
    [
      2.0,
      0.428512358429493,
      5.305217341823193,
      0.6782175820399429,
      2.5987843104407586,
      2.1603238740167487
    ],
    [
      2.0,
      0.428336692831485,
      5.308211147620588,
      0.6771270708519925,
      2.5998881063045935,
      2.173911719573989
    ],
    [
      2.0,
      0.4282629599782171,
      5.31402839051717,
      0.6751887900324165,
      2.602984813002781,
      2.186110619531446
    ],
    [
      2.0,
      0.4283919410966939,
      5.304592363502241,
      0.6769957742020121,
      2.5965413270070044,
      2.193995902697357
    ],
    [
      2.0,
      0.4282024451465889,
      5.312858502517597,
      0.6719586432456328,
      2.6036425009995914,
      2.185988307213436
    ],
    [
      2.0,
      0.428113814023371,
      5.316224548314935,
      0.6674989273877368,
      2.5994525209613686,
      2.1855142424115916
    ],
    [
      2.0,
      0.428037810158228,
      5.318130642875633,
      0.6609544953529448,
      2.6010068340849997,
      2.1851659270639896
    ],
    [
      2.0,
      0.42799442931950776,
      5.324837495603459,
      0.6589857826764618,
      2.601240552005462,
      2.1854620230253863
    ],
    [
      2.0,
      0.42792686494493903,
      5.326019813236935,
      0.65338262187094,
      2.598471731013192,
      2.188384409774912
    ],
    [
      2.0,
      0.4278546940110565,
      5.327391585317769,
      0.6489052902592874,
      2.6014130825752058,
      2.1926762851209793
    ],
    [
      2.0,
      0.4278161359666904,
      5.329303280385275,
      0.6426351283237779,
      2.602548593960838,
      2.1948536930213183
    ],
    [
      2.0,
      0.42771201349134447,
      5.33136551468343,
      0.643234760841761,
      2.6010685979097605,
      2.2013496334637552
    ],
    [
      2.0,
      0.4276362659018021,
      5.333859801038485,
      0.6423571660357085,
      2.599303411844034,
      2.207586017118466
    ],
    [
      2.0,
      0.42747818773626073,
      5.338545395203265,
      0.6351433078794658,
      2.599953079085858,
      2.2186125029729657
    ],
    [
      2.0,
      0.42719051734855645,
      5.346073192876417,
      0.6175249454291638,
      2.585666120486023,
      2.2332004562471055
    ],
    [
      2.0,
      0.42646833621989916,
      5.363243857194155,
      0.5800775643579676,
      2.586625709744207,
      2.2711206504218686
    ],
    [
      2.0,
      0.42490910522099246,
      5.363518165294679,
      0.49541171399096406,
      2.5996894306861558,
      2.3432660434268904
    ],
    [
      2.0,
      0.4193110428675165,
      5.349484176157543,
      0.32854961514190695,
      2.624593668513174,
      2.48994891923331
    ],
    [
      2.0,
      0.4240249004312074,
      4.989755408111573,
      0.3835004583605805,
      2.5079447798110537,
      2.723770763880566
    ],
    [
      2.0,
      0.45698623812319755,
      5.26337167227951,
      0.16904226018147936,
      2.6122894488732165,
      2.3589273692179193
    ],
    [
      2.0,
      0.42131157680618536,
      5.376835483265376,
      0.3212999833624068,
      2.67099286574039,
      2.476441020239588
    ],
    [
      2.0,
      0.41282572592872896,
      5.328692782413262,
      0.3921355662626528,
      2.6490830231704923,
      2.576371232756546
    ],
    [
      2.0,
      0.41481760854628,
      5.411844122590498,
      0.4101519794626539,
      2.599647158378839,
      2.6298629027102667
    ],
    [
      2.0,
      0.4120793932424883,
      5.325452547091354,
      0.3691207931036804,
      2.6518699694776013,
      2.591735282410885
    ],
    [
      2.0,
      0.41254865321290973,
      5.284988316071075,
      0.3769655542690644,
      2.6566073791917924,
      2.6293472842107826
    ],
    [
      2.0,
      0.412142828378762,
      5.323348119148989,
      0.36848600785788876,
      2.6651622239864357,
      2.5879294446845105
    ],
    [
      2.0,
      0.4118776910682701,
      5.3457753179893714,
      0.37169423403833424,
      2.659194833647794,
      2.6093622149197127
    ],
    [
      2.0,
      0.4115128658623457,
      5.350141952064344,
      0.358654581617991,
      2.657886649220687,
      2.611640070296289
    ],
    [
      2.0,
      0.4110119589197019,
      5.361340100381722,
      0.3335766347099905,
      2.6546044076756243,
      2.615990351158645
    ],
    [
      2.0,
      0.4106508361956643,
      5.381104990616169,
      0.3153692397762759,
      2.65215879694474,
      2.6234642304660047
    ],
    [
      2.0,
      0.4107006832718312,
      5.382681712857246,
      0.3040481898184324,
      2.6773848952175934,
      2.61934212654266
    ],
    [
      2.0,
      0.41080821915842103,
      5.383499724076856,
      0.31546789482671445,
      2.6509956273941375,
      2.6169910121451196
    ],
    [
      2.0,
      0.41040464665358956,
      5.377299029172804,
      0.3067606213588554,
      2.6492678088797113,
      2.633416543485737
    ],
    [
      2.0,
      0.4102080942128274,
      5.3808950942908575,
      0.3060812827281382,
      2.649944050629684,
      2.6469128211869077
    ],
    [
      2.0,
      0.4100224770720513,
      5.382128910619713,
      0.2973978395935525,
      2.646175568602699,
      2.6571536246616043
    ],
    [
      2.0,
      0.40992844004555684,
      5.404749702728285,
      0.29392333646362817,
      2.634875190732306,
      2.6686657509798497
    ],
    [
      2.0,
      0.4102900369631002,
      5.396145629711784,
      0.28971704907465684,
      2.6319140151368803,
      2.694809746715413
    ],
    [
      2.0,
      0.40996347647953046,
      5.402381139867357,
      0.2947426840569071,
      2.62848475946343,
      2.667294267223842
    ],
    [
      2.0,
      0.40971342002327704,
      5.40699984947631,
      0.2812246653822293,
      2.6352344056649817,
      2.663229616598606
    ],
    [
      2.0,
      0.40974943046766515,
      5.414560112237847,
      0.2737302910064844,
      2.6374657757273487,
      2.654414982894506
    ],
    [
      2.0,
      0.4096886192316337,
      5.409355308877031,
      0.2806967475833624,
      2.6338395577175002,
      2.6653456300703486
    ],
    [
      2.0,
      0.40960283275325093,
      5.407187101093271,
      0.27521678573141856,
      2.6342688431599948,
      2.6690985765283393
    ],
    [
      2.0,
      0.409519782458969,
      5.409448432839576,
      0.26863724129589944,
      2.634604835663999,
      2.669793618103668
    ],
    [
      2.0,
      0.4094616311560043,
      5.411530380251725,
      0.26754959786493376,
      2.6402497259808886,
      2.6732020987109775
    ],
    [
      2.0,
      0.40936949712710385,
      5.412692937480314,
      0.2621032999426908,
      2.6414962947279874,
      2.6772557841934965
    ],
    [
      2.0,
      0.40920640449465934,
      5.413106179076154,
      0.2501828557811752,
      2.646157717980248,
      2.682912936802269
    ],
    [
      2.0,
      0.40889730365065796,
      5.427324292710874,
      0.23189278990791629,
      2.6483338571686663,
      2.698488017965931
    ],
    [
      2.0,
      0.40863466273264926,
      5.442151422158279,
      0.18456311322871982,
      2.6699694731134453,
      2.71290876900333
    ],
    [
      2.0,
      0.4086191280248535,
      5.424267772462082,
      0.18156643809988315,
      2.6644765103227153,
      2.765606229772285
    ],
    [
      2.0,
      0.4090896091315617,
      5.438640526238132,
      0.19468016601597526,
      2.683089298438583,
      2.7732885606418574
    ],
    [
      2.0,
      0.40864710031551305,
      5.429461248052973,
      0.18152358260762255,
      2.659964005407173,
      2.76689590960884
    ],
    [
      2.0,
      0.4084407182342793,
      5.416582422156825,
      0.1715641750295444,
      2.6594918001122867,
      2.762135957697177
    ],
    [
      2.0,
      0.4083566911647701,
      5.408845023887205,
      0.1607613433671998,
      2.6564947263688707,
      2.758903459426667
    ],
    [
      2.0,
      0.40834456553464654,
      5.400022488054322,
      0.15958415654235192,
      2.6672976053747686,
      2.758629784727732
    ],
    [
      2.0,
      0.40833662536412335,
      5.398029367044167,
      0.15305624549084745,
      2.666134698697997,
      2.759660073038664
    ],
    [
      2.0,
      0.4083661407510924,
      5.392519933299963,
      0.15460816165337038,
      2.6623257985595803,
      2.7583447876026104
    ],
    [
      2.0,
      0.4083438681027233,
      5.397568470511483,
      0.15376971063542072,
      2.665921885578813,
      2.763048767839017
    ],
    [
      2.0,
      0.4083171727747304,
      5.401839027163515,
      0.1492227485921159,
      2.6703597349909565,
      2.758267284603315
    ],
    [
      2.0,
      0.4083409213605775,
      5.403756469747766,
      0.14466976617714444,
      2.6739152059101765,
      2.7548100614968836
    ],
    [
      2.0,
      0.40831222922598226,
      5.399708684661251,
      0.1495732179520479,
      2.672927510435333,
      2.7592649525430883
    ],
    [
      2.0,
      0.4082977757713844,
      5.402625961393909,
      0.1489882495996293,
      2.6738214727630956,
      2.765537762108849
    ],
    [
      2.0,
      0.40827464275399705,
      5.404677868501809,
      0.1454383551657199,
      2.6788531336344366,
      2.7681588907978814
    ],
    [
      2.0,
      0.40824124538854917,
      5.407542709298002,
      0.13734217180979097,
      2.6879640081597493,
      2.774422792749832
    ],
    [
      2.0,
      0.40818259165350135,
      5.423864565342229,
      0.14880412379295863,
      2.707614808822524,
      2.7741645190210753
    ],
    [
      2.0,
      0.40822196200088096,
      5.434179752213256,
      0.14456134209915478,
      2.7296266249828642,
      2.7873961354241414
    ],
    [
      2.0,
      0.40811970677042736,
      5.4349296247372925,
      0.14283470515124871,
      2.703045843385154,
      2.770034742211629
    ],
    [
      2.0,
      0.40817955055916566,
      5.433292568609627,
      0.13773536483391818,
      2.7088272655433046,
      2.758463574016837
    ],
    [
      2.0,
      0.40811705462490067,
      5.436322553022493,
      0.14575769079901646,
      2.7036637056043094,
      2.768858242329193
    ],
    [
      2.0,
      0.40812602846558416,
      5.440909018606942,
      0.1462570198854144,
      2.6987265450062026,
      2.770685658301171
    ],
    [
      2.0,
      0.40812516872401206,
      5.4347669568568815,
      0.14608800902744717,
      2.701442256876024,
      2.766670509259301
    ],
    [
      2.0,
      0.4080956342818152,
      5.440120261815964,
      0.14264284114382073,
      2.7072912504036255,
      2.7654353724405647
    ],
    [
      2.0,
      0.4080781357201654,
      5.4432952863433135,
      0.14118201912093745,
      2.7132371683450396,
      2.7642390120842504
    ],
    [
      2.0,
      0.4081868193260642,
      5.447368720412,
      0.1372553667776631,
      2.720296009150018,
      2.7535543828088334
    ],
    [
      2.0,
      0.40805738666054386,
      5.448992417583928,
      0.1404994381243338,
      2.7114272973748808,
      2.767816880986497
    ],
    [
      2.0,
      0.4080553762258762,
      5.450153319118174,
      0.146907480851907,
      2.7133795073011338,
      2.7694836660455913
    ],
    [
      2.0,
      0.40807487432994244,
      5.4485127298512355,
      0.14495411879090797,
      2.716124486070259,
      2.7753961896246486
    ],
    [
      2.0,
      0.40803253278052903,
      5.456648174493426,
      0.14684911969715633,
      2.713317490152734,
      2.766874144728669
    ],
    [
      2.0,
      0.40803331354997113,
      5.461565095312868,
      0.14814702297250076,
      2.7086293886486486,
      2.7657966285893067
    ],
    [
      2.0,
      0.408023843779035,
      5.459001830536039,
      0.14699539454285696,
      2.717252022501318,
      2.761586577981995
    ],
    [
      2.0,
      0.4079948682314917,
      5.463573483125659,
      0.14457455567139357,
      2.720827122806675,
      2.7646619949561417
    ],
    [
      2.0,
      0.4079688626941003,
      5.468948591577451,
      0.1426011726617871,
      2.724614348001228,
      2.766029801212383
    ],
    [
      2.0,
      0.4079304660793852,
      5.479475002101373,
      0.1394975645900247,
      2.7332315477588014,
      2.7648869246850034
    ],
    [
      2.0,
      0.4080386778394766,
      5.485335921681483,
      0.1517121854012898,
      2.7487786426401213,
      2.7838273708482735
    ],
    [
      2.0,
      0.4080902450401314,
      5.483816870872432,
      0.136133049007034,
      2.736321505140514,
      2.7523857097902056
    ],
    [
      2.0,
      0.40793708659141636,
      5.477315630481867,
      0.13761120032434654,
      2.7352230960233936,
      2.765136883833353
    ],
    [
      2.0,
      0.40793053467714774,
      5.48142724290807,
      0.13502339662746846,
      2.729930838229073,
      2.768665270020711
    ],
    [
      2.0,
      0.40791093881554885,
      5.481640631068378,
      0.13974244846286166,
      2.7356504479042343,
      2.766171060640625
    ],
    [
      2.0,
      0.40790202358630584,
      5.481358266617298,
      0.14368963658924325,
      2.7366529365896533,
      2.7718574472478936
    ],
    [
      2.0,
      0.4078811961730798,
      5.487352013681683,
      0.14457719268392397,
      2.740042320435845,
      2.7727514928005093
    ],
    [
      2.0,
      0.40790374730661233,
      5.491907319966949,
      0.1482508579549921,
      2.7417401640552646,
      2.7761968803211743
    ],
    [
      2.0,
      0.4078787853238391,
      5.486365012613503,
      0.14680381278052584,
      2.7417024774586882,
      2.7708642009586564
    ],
    [
      2.0,
      0.40786217857616636,
      5.484663970828922,
      0.14320425846870186,
      2.7473369437084996,
      2.772048454176122
    ],
    [
      2.0,
      0.40785716550686457,
      5.487410062260445,
      0.13962527278415998,
      2.7489681594893316,
      2.7669505155342855
    ],
    [
      2.0,
      0.4078568951279173,
      5.484808002915662,
      0.14269463073828229,
      2.7538357145729315,
      2.7639313705520405
    ],
    [
      2.0,
      0.4078497997993842,
      5.483505423932069,
      0.1379875627631625,
      2.757947350849022,
      2.7668021276302763
    ],
    [
      2.0,
      0.4078136082206093,
      5.488956700975956,
      0.13884416834075666,
      2.7617063585192305,
      2.7689044279919117
    ],
    [
      2.0,
      0.40775864929405103,
      5.49989114540956,
      0.14078301268493737,
      2.7691057073812035,
      2.773138627320745
    ],
    [
      2.0,
      0.40770572920910053,
      5.516991711781663,
      0.1371379678070697,
      2.7878765948000543,
      2.78436084025316
    ],
    [
      2.0,
      0.4077012275127186,
      5.524121122502544,
      0.15877278880866622,
      2.80044419248107,
      2.774008955809736
    ],
    [
      2.0,
      0.40766273922435997,
      5.5251598130966455,
      0.1539508040244443,
      2.812905276710435,
      2.7780575314134657
    ],
    [
      2.0,
      0.4074838101541754,
      5.539012666300238,
      0.1392763315087192,
      2.832275619499288,
      2.7768132907826812
    ],
    [
      2.0,
      0.40865644759733005,
      5.565603198253515,
      0.10651684315210051,
      2.8489925798770637,
      2.7440062371389575
    ],
    [
      2.0,
      0.40775211099690495,
      5.557768248563864,
      0.1451078970068898,
      2.8277251042346836,
      2.7962430048469566
    ],
    [
      2.0,
      0.4075052849145283,
      5.534874143412878,
      0.13878336555145607,
      2.8351715401440494,
      2.7816344168435747
    ],
    [
      2.0,
      0.4075544775280841,
      5.537283922012074,
      0.1315298976457744,
      2.8373698269913956,
      2.766466636462539
    ],
    [
      2.0,
      0.407488991412046,
      5.539085457642129,
      0.13659762607225553,
      2.830258492321133,
      2.777813509035041
    ],
    [
      2.0,
      0.4074738204603177,
      5.54535944404923,
      0.14036515575888323,
      2.833608978819974,
      2.779212254492097
    ],
    [
      2.0,
      0.4075063056258428,
      5.546814514243351,
      0.14561849715103317,
      2.829220983932453,
      2.7793873996170504
    ],
    [
      2.0,
      0.40744470280471473,
      5.548033197927653,
      0.1375771188610819,
      2.8375499533498263,
      2.774905676940355
    ],
    [
      2.0,
      0.407428990429804,
      5.549091015494392,
      0.13507662607822551,
      2.8440006403913425,
      2.7747745490226596
    ],
    [
      2.0,
      0.4074413145286478,
      5.55301616081329,
      0.1342547542600668,
      2.846722132119832,
      2.76972368338281
    ],
    [
      2.0,
      0.407420870241035,
      5.548967844431735,
      0.13833011101981127,
      2.8452833354695595,
      2.774840563873383
    ],
    [
      2.0,
      0.4074195749337318,
      5.5526261853084655,
      0.13954863980255622,
      2.847150283524322,
      2.7803764680087597
    ],
    [
      2.0,
      0.4074347296895806,
      5.547763606779847,
      0.14083951181858767,
      2.8517103321553394,
      2.782077919146463
    ],
    [
      2.0,
      0.4074353070911498,
      5.553031723371303,
      0.14206145203199125,
      2.8447516431605298,
      2.7805100269260192
    ],
    [
      2.0,
      0.4074236303907743,
      5.552395851434683,
      0.13918224147836625,
      2.8467639765183965,
      2.7810315179853204
    ],
    [
      2.0,
      0.4074095612710549,
      5.5538546362412236,
      0.1390241080830324,
      2.8481317683512133,
      2.779815252973679
    ],
    [
      2.0,
      0.40740112759734637,
      5.554362133708581,
      0.13883814014817586,
      2.8496807412932954,
      2.779206118282065
    ],
    [
      2.0,
      0.4073868706739401,
      5.5564372060177885,
      0.13700955391446973,
      2.851823117923764,
      2.779103309378345
    ],
    [
      2.0,
      0.4073756682893737,
      5.556502474512898,
      0.13692843781261826,
      2.8551838460961543,
      2.7781313698983006
    ],
    [
      2.0,
      0.4073647521371635,
      5.559193937035688,
      0.13745012659470124,
      2.8562730678192136,
      2.776247898013434
    ],
    [
      2.0,
      0.4073528464087705,
      5.561429099754327,
      0.13669649074021334,
      2.8588491280544694,
      2.776024303996588
    ],
    [
      2.0,
      0.40732790432515736,
      5.564985919433135,
      0.1394209326000235,
      2.8641799669858283,
      2.7753111373871184
    ],
    [
      2.0,
      0.4072860983216601,
      5.572224815809861,
      0.14123989446562207,
      2.875220740855599,
      2.771022656381551
    ],
    [
      2.0,
      0.40723953542336727,
      5.596749431038257,
      0.14827376120064953,
      2.882576336790271,
      2.7799087789948644
    ],
    [
      2.0,
      0.4071424541748607,
      5.612041442605029,
      0.1417276722674593,
      2.901048846552993,
      2.7670219840098182
    ],
    [
      2.0,
      0.40764531798587145,
      5.641652110970876,
      0.139092660921607,
      2.9392255241555705,
      2.738829674395955
    ],
    [
      2.0,
      0.40710167692248317,
      5.606551655229134,
      0.12592207330369912,
      2.9141356497334865,
      2.7852642661718523
    ],
    [
      2.0,
      0.40715249261622843,
      5.612370913251744,
      0.11601414756833628,
      2.906172281358967,
      2.784519949155704
    ],
    [
      2.0,
      0.4070970503134893,
      5.609022409760766,
      0.12731966755275595,
      2.9140112741445563,
      2.787307947426916
    ],
    [
      2.0,
      0.40707765013236946,
      5.610340747169909,
      0.12935238089946327,
      2.920571380114263,
      2.7876162858643387
    ],
    [
      2.0,
      0.4071091670097474,
      5.6083487951222,
      0.13330162393484116,
      2.924512435087023,
      2.791345051369011
    ],
    [
      2.0,
      0.4070794948006677,
      5.610293462192566,
      0.12798265463310235,
      2.92095748746383,
      2.7886336526618942
    ],
    [
      2.0,
      0.4070628945534742,
      5.613060468620688,
      0.12861724965518542,
      2.9214533755481624,
      2.7857361844472766
    ],
    [
      2.0,
      0.4070499155166822,
      5.615681258505169,
      0.12890839348676444,
      2.9231740441430563,
      2.784207788151389
    ],
    [
      2.0,
      0.4070277978413955,
      5.620779901575119,
      0.12990854218787798,
      2.9268993945837383,
      2.7813572959982653
    ],
    [
      2.0,
      0.40702705267649103,
      5.626559676851247,
      0.11932822869551726,
      2.9329436646629325,
      2.7851146838369876
    ],
    [
      2.0,
      0.4070069543211131,
      5.630781080015142,
      0.12242577322689256,
      2.936443728036446,
      2.782059437597256
    ],
    [
      2.0,
      0.40717860322658916,
      5.625360505101651,
      0.1185993861902905,
      2.941909607325275,
      2.771009537441449
    ],
    [
      2.0,
      0.40702710757888344,
      5.632401073835325,
      0.12135351944498504,
      2.9340247189075197,
      2.7804394725717314
    ],
    [
      2.0,
      0.4069734484991988,
      5.633522466009954,
      0.12614718195559466,
      2.93715830101166,
      2.787267633577102
    ],
    [
      2.0,
      0.4069738791660902,
      5.633697292949505,
      0.13006865818732857,
      2.9420764084751285,
      2.7903341753888062
    ],
    [
      2.0,
      0.40697182484555555,
      5.634233108039013,
      0.12481284068399492,
      2.9378991064747533,
      2.7877453662882408
    ],
    [
      2.0,
      0.4069677803066513,
      5.637332325827293,
      0.12554292526557423,
      2.9366779013488,
      2.788533074130589
    ],
    [
      2.0,
      0.40698390899552195,
      5.636523823922917,
      0.12500506673142175,
      2.9352189852452892,
      2.791562694019416
    ],
    [
      2.0,
      0.4069692331869435,
      5.637306304866252,
      0.1250512390478788,
      2.936067547891666,
      2.7881449230900404
    ],
    [
      2.0,
      0.4069606551612552,
      5.638322843055473,
      0.12591197381202324,
      2.9377170933105203,
      2.78760288121633
    ],
    [
      2.0,
      0.4069472046851361,
      5.640478035033695,
      0.1267265111757535,
      2.9399179559701265,
      2.786154475205003
    ],
    [
      2.0,
      0.40692003258513454,
      5.644793999268258,
      0.12913125057858815,
      2.9447287086199165,
      2.7849518364092853
    ],
    [
      2.0,
      0.4068688356247193,
      5.65374139128431,
      0.1333557421289629,
      2.9539496038528297,
      2.7813361845516598
    ],
    [
      2.0,
      0.40691404903274747,
      5.6715331413577745,
      0.1466581957688617,
      2.968180892710185,
      2.7907153515690557
    ],
    [
      2.0,
      0.40696986110722916,
      5.6596105179120615,
      0.12990929055171122,
      2.9532098978368007,
      2.7691243804604158
    ],
    [
      2.0,
      0.4068699990113815,
      5.653308960232914,
      0.1304999107671473,
      2.955866600450683,
      2.7818182163581606
    ],
    [
      2.0,
      0.4068727096416805,
      5.655209923120259,
      0.13637210300420455,
      2.9570220805087275,
      2.786656416549992
    ],
    [
      2.0,
      0.4068682071339543,
      5.6527672540101825,
      0.13407188554995522,
      2.9549809852664577,
      2.780603417500444
    ],
    [
      2.0,
      0.4068783634031194,
      5.649900958461141,
      0.13394191113989004,
      2.9535823117964886,
      2.782039094693507
    ],
    [
      2.0,
      0.4068713185814981,
      5.65262390701263,
      0.1337208287582527,
      2.9545991562819656,
      2.7799134592452623
    ],
    [
      2.0,
      0.40686153210264414,
      5.653817652096959,
      0.1348530955185673,
      2.956023939898395,
      2.781114416991597
    ],
    [
      2.0,
      0.4068497037685807,
      5.656171234077499,
      0.1363348818432389,
      2.958097643839349,
      2.781577788456153
    ],
    [
      2.0,
      0.4068260595151298,
      5.6605327447881395,
      0.13905403120106222,
      2.9624563236857817,
      2.779684283482006
    ],
    [
      2.0,
      0.406791328946738,
      5.6704481411250995,
      0.14469909413133863,
      2.9705255401981248,
      2.7805244768354327
    ],
    [
      2.0,
      0.4067759693746148,
      5.674322103830954,
      0.1469832892455309,
      2.9762745537637403,
      2.768577773999239
    ],
    [
      2.0,
      0.4067580582217561,
      5.6689435149198735,
      0.155422498822665,
      2.985901392768388,
      2.7703594849234374
    ],
    [
      2.0,
      0.40681632925196654,
      5.674348244705951,
      0.16811160864104635,
      2.983650308873758,
      2.7695180520646274
    ],
    [
      2.0,
      0.4067471430954719,
      5.671486624008551,
      0.15474749420080677,
      2.987631179525052,
      2.7718874910425426
    ],
    [
      2.0,
      0.40672529689711356,
      5.671279869164884,
      0.15057972025349345,
      2.993239962482457,
      2.772245913273216
    ],
    [
      2.0,
      0.4067007329068346,
      5.6740122373440345,
      0.1490283452304513,
      2.9993890370371856,
      2.7733932065190046
    ],
    [
      2.0,
      0.40665551993541765,
      5.677917259329124,
      0.14557454287783386,
      3.0122682928305013,
      2.77510983775936
    ],
    [
      2.0,
      0.40658529357952955,
      5.681999719889958,
      0.13800315507034916,
      3.0388359710733592,
      2.777150934332748
    ],
    [
      2.0,
      0.40690365698353814,
      5.720409939953557,
      0.16511018809250685,
      3.063561640571111,
      2.794885223810748
    ],
    [
      2.0,
      0.40663817781426415,
      5.656919628952451,
      0.1410106258209904,
      3.0497728653331735,
      2.772019803638634
    ],
    [
      2.0,
      0.40662226330604345,
      5.683769999933116,
      0.1392801759920588,
      3.039436756905171,
      2.770527160293833
    ],
    [
      2.0,
      0.4066374386922305,
      5.681540631365899,
      0.12446381127021254,
      3.037719877417494,
      2.780502015074854
    ],
    [
      2.0,
      0.40657469572203175,
      5.685342764823525,
      0.13815028160138226,
      3.038297132472198,
      2.778023893276752
    ],
    [
      2.0,
      0.4065657613921944,
      5.686459025815349,
      0.1419631491917149,
      3.0406984085529687,
      2.783263156137178
    ],
    [
      2.0,
      0.40654387690706884,
      5.6910366047244185,
      0.1450212927013087,
      3.043957271419749,
      2.7804217933617665
    ],
    [
      2.0,
      0.406519870691139,
      5.697052285607031,
      0.1447867402531433,
      3.0475230329991465,
      2.7806265200735694
    ],
    [
      2.0,
      0.4064709945271334,
      5.706795365157154,
      0.1463974944534725,
      3.0573798733100044,
      2.7794773591308193
    ],
    [
      2.0,
      0.40638639590948294,
      5.726996806850312,
      0.14854515698884463,
      3.0765130168643418,
      2.781760365237077
    ],
    [
      2.0,
      0.40637008291507215,
      5.72952522201418,
      0.17919493132922512,
      3.1195955484900257,
      2.763482129043046
    ],
    [
      2.0,
      0.40662247339280283,
      5.743978577057341,
      0.17791597714192992,
      3.130834961646246,
      2.7846278235477655
    ],
    [
      2.0,
      0.4063255228635175,
      5.727654465541178,
      0.17361465051584876,
      3.1232503846269726,
      2.762480675562023
    ],
    [
      2.0,
      0.4063972507729396,
      5.733717459040451,
      0.16806966605773105,
      3.122280344623459,
      2.7511867710299938
    ],
    [
      2.0,
      0.40632870179505026,
      5.727583194895195,
      0.17557747307289062,
      3.1258744834457173,
      2.761253339628363
    ],
    [
      2.0,
      0.40633752083942976,
      5.7207549281176195,
      0.17251749239284236,
      3.123162262044636,
      2.762050719977664
    ],
    [
      2.0,
      0.4063264966533807,
      5.7275190369012625,
      0.1737813646501621,
      3.1238792075503286,
      2.7640996095359616
    ],
    [
      2.0,
      0.4063084577238448,
      5.728889825880028,
      0.17071765087445384,
      3.1247147769968815,
      2.762048433849659
    ],
    [
      2.0,
      0.40629768232032465,
      5.730582225731384,
      0.16789158904450935,
      3.1258196840170607,
      2.7616261333012084
    ],
    [
      2.0,
      0.4063089692063912,
      5.732325804987468,
      0.16667115562144136,
      3.123737526134224,
      2.759786271298625
    ],
    [
      2.0,
      0.4062945639626965,
      5.731226228771935,
      0.16816854857863547,
      3.1257394107050116,
      2.762143564161894
    ],
    [
      2.0,
      0.40628647176324323,
      5.731463811303832,
      0.16744285609350765,
      3.126234843399982,
      2.763638211746551
    ],
    [
      2.0,
      0.4062792980709062,
      5.7322564573570896,
      0.1674034925226734,
      3.127609868285192,
      2.7643743973947403
    ],
    [
      2.0,
      0.4062728840302566,
      5.7320852130701905,
      0.16643136666010125,
      3.128447495349446,
      2.7655519064616914
    ],
    [
      2.0,
      0.40626603680424184,
      5.733177932712751,
      0.1658376001799973,
      3.128920076469489,
      2.7666888199301867
    ],
    [
      2.0,
      0.406250375672788,
      5.734711188422056,
      0.16379995172640766,
      3.1312246207457632,
      2.7673492677995593
    ],
    [
      2.0,
      0.40622083086814975,
      5.737668525124951,
      0.16051876320366776,
      3.135957581798453,
      2.770011417528195
    ],
    [
      2.0,
      0.40618714682645535,
      5.743258605378902,
      0.14866011273250931,
      3.139376026656041,
      2.7735381222950997
    ],
    [
      2.0,
      0.4061397810811407,
      5.7476869363803145,
      0.1483787912704606,
      3.1503450368922885,
      2.781020872940017
    ],
    [
      2.0,
      0.40610318707942006,
      5.760001937509034,
      0.15032168472743407,
      3.154132601140002,
      2.775900299799837
    ],
    [
      2.0,
      0.40612223613595677,
      5.759840910494791,
      0.14667630439609283,
      3.1662190549936695,
      2.769850266264086
    ],
    [
      2.0,
      0.4061034557459229,
      5.760928774180527,
      0.14706067857200528,
      3.1533786804584825,
      2.776334369200519
    ],
    [
      2.0,
      0.4060968330675124,
      5.765139087116874,
      0.15228897360921584,
      3.1548627971087653,
      2.780167181824159
    ],
    [
      2.0,
      0.4060934461026663,
      5.769757560808072,
      0.15416976543835298,
      3.1511603640812966,
      2.7769385114265686
    ],
    [
      2.0,
      0.4061337169487248,
      5.771645910799164,
      0.15670966426497335,
      3.1466867519917283,
      2.781293949766592
    ],
    [
      2.0,
      0.40609790815456454,
      5.769293744430975,
      0.15577201368913005,
      3.1516218238853955,
      2.7766792244033316
    ],
    [
      2.0,
      0.40608012318355186,
      5.771563763133112,
      0.1527123061827313,
      3.1534371114460336,
      2.7756424145488676
    ],
    [
      2.0,
      0.4060717596267595,
      5.773782425304376,
      0.15048962448492745,
      3.1548488926522555,
      2.7750146422447592
    ]
  ]
}

{
  "name": "qaoa_p2_shots",
  "dtype": "int64",
  "shape": [
    10,
    256
  ],
  "data": [
    [
      3655,
      6309,
      1768,
      402,
      5001,
      1432,
      3270,
      1938,
      1451,
      6578,
      6392,
      7173,
      4908,
      318,
      1391,
      2633,
      3462,
      3244,
      4971,
      6267,
      1768,
      7734,
      5960,
      6483,
      3476,
      4938,
      2698,
      1927,
      2119,
      7692,
      2757,
      1191,
      2506,
      4996,
      2661,
      7557,
      2616,
      3175,
      91,
      6876,
      7844,
      7845,
      6293,
      4458,
      5938,
      2392,
      7956,
      7937,
      6666,
      406,
      6726,
      7366,
      1500,
      6380,
      7565,
      787,
      6723,
      5218,
      3452,
      2482,
      3859,
      3109,
      1860,
      1185,
      1868,
      5666,
      6953,
      1451,
      4566,
      2163,
      7620,
      3237,
      2002,
      339,
      1993,
      8,
      3786,
      1624,
      6275,
      6467,
      868,
      6298,
      3371,
      6915,
      2962,
      6419,
      6806,
      3552,
      1732,
      1402,
      1674,
      646,
      5675,
      659,
      4493,
      3123,
      4518,
      4954,
      1818,
      615,
      7570,
      6702,
      4234,
      5045,
      5461,
      4474,
      77,
      5761,
      3427,
      5509,
      539,
      7553,
      6285,
      2612,
      7554,
      3108,
      1904,
      6151,
      5475,
      3422,
      5966,
      1449,
      7444,
      6215,
      2712,
      3414,
      970,
      7633,
      5201,
      4585,
      3663,
      6546,
      4679,
      5674,
      3432,
      6476,
      7243,
      3974,
      2769,
      1770,
      4698,
      4584,
      3218,
      6096,
      6222,
      4295,
      4920,
      4772,
      5419,
      5864,
      7191,
      5190,
      5232,
      227,
      5637,
      942,
      5319,
      851,
      2635,
      1819,
      4877,
      798,
      1810,
      722,
      436,
      3926,
      2517,
      1585,
      4236,
      1882,
      2725,
      2167,
      6848,
      2693,
      2450,
      5259,
      404,
      725,
      2486,
      3662,
      3541,
      2418,
      542,
      5556,
      2595,
      7348,
      1822,
      5045,
      4363,
      370,
      1387,
      3036,
      6513,
      3354,
      5146,
      726,
      1256,
      6325,
      2546,
      233,
      7443,
      6249,
      2221,
      2648,
      537,
      919,
      5145,
      460,
      795,
      1452,
      1175,
      3090,
      7716,
      5896,
      2355,
      5512,
      508,
      1451,
      3478,
      3907,
      2397,
      4912,
      2859,
      4904,
      1403,
      6247,
      7239,
      953,
      7998,
      1180,
      5290,
      1338,
      7108,
      2230,
      1588,
      1801,
      2646,
      4392,
      2410,
      7348,
      1331,
      4922,
      7196,
      5149,
      7506,
      1264,
      7490,
      866,
      1445,
      1750,
      588,
      4912,
      5284,
      914,
      3532,
      1458
    ],
    [
      3877,
      497,
      1197,
      6022,
      5895,
      7638,
      185,
      3859,
      3730,
      6980,
      1359,
      7250,
      7954,
      2482,
      6956,
      2885,
      1199,
      4401,
      331,
      2195,
      7776,
      3186,
      998,
      4529,
      1549,
      5538,
      2753,
      3159,
      7492,
      1355,
      7432,
      5013,
      7297,
      1722,
      7496,
      226,
      6342,
      2888,
      4141,
      4379,
      1954,
      3181,
      602,
      3643,
      5700,
      7264,
      419,
      7239,
      622,
      5505,
      5175,
      5960,
      4773,
      969,
      734,
      6356,
      233,
      1414,
      5397,
      4520,
      5056,
      2993,
      5830,
      7308,
      6982,
      996,
      2490,
      3904,
      4499,
      1371,
      7724,
      4913,
      7686,
      1069,
      3126,
      7443,
      1171,
      5468,
      4325,
      3781,
      5328,
      1450,
      1667,
      718,
      2153,
      1448,
      3606,
      7937,
      3411,
      6377,
      6307,
      3591,
      819,
      1865,
      3129,
      3141,
      1195,
      4758,
      3410,
      4539,
      1673,
      551,
      2412,
      439,
      7753,
      940,
      6976,
      5925,
      2859,
      6456,
      3648,
      5038,
      3508,
      3497,
      6347,
      1816,
      6487,
      6371,
      4809,
      5400,
      4645,
      7200,
      620,
      5036,
      7505,
      1010,
      5904,
      333,
      2704,
      938,
      263,
      8098,
      2583,
      1733,
      5462,
      559,
      6612,
      4577,
      7430,
      3916,
      4332,
      3590,
      1456,
      3448,
      5645,
      6251,
      1425,
      3128,
      6580,
      1844,
      666,
      3406,
      1137,
      122,
      4698,
      7340,
      4816,
      954,
      727,
      2155,
      7252,
      4682,
      3141,
      3125,
      475,
      6033,
      1094,
      6252,
      3760,
      1819,
      6541,
      4728,
      6032,
      1579,
      5545,
      5017,
      2262,
      3395,
      199,
      5170,
      5889,
      6474,
      1612,
      4434,
      883,
      4924,
      1831,
      7812,
      3182,
      7465,
      2950,
      632,
      1821,
      7543,
      6797,
      466,
      6552,
      6445,
      3612,
      346,
      4500,
      3740,
      7192,
      2474,
      5833,
      963,
      3230,
      1311,
      6225,
      6938,
      4986,
      5724,
      7336,
      5888,
      5952,
      1329,
      5938,
      5557,
      4503,
      4993,
      6794,
      5567,
      6689,
      583,
      3860,
      5061,
      4292,
      1835,
      5383,
      625,
      5801,
      366,
      4052,
      2422,
      3241,
      2134,
      122,
      2629,
      6853,
      7456,
      924,
      7329,
      5382,
      3230,
      376,
      5530,
      6316,
      5428,
      4946,
      6603,
      2438,
      497,
      1363,
      5779,
      895,
      2152
    ],
    [
      398,
      3219,
      5771,
      1810,
      4817,
      6346,
      7000,
      4678,
      3468,
      6278,
      3656,
      2701,
      440,
      6004,
      961,
      2949,
      5320,
      1144,
      5405,
      6345,
      2428,
      376,
      5315,
      4513,
      7205,
      3239,
      8020,
      5227,
      6294,
      4940,
      883,
      838,
      1496,
      3297,
      7872,
      6528,
      5454,
      6858,
      103,
      876,
      859,
      6591,
      2697,
      5701,
      4560,
      1202,
      2873,
      3971,
      3599,
      586,
      880,
      4095,
      1435,
      2508,
      1641,
      410,
      1349,
      4159,
      5281,
      6021,
      1009,
      2944,
      3849,
      7060,
      205,
      4499,
      790,
      3768,
      7246,
      7280,
      2273,
      2753,
      6580,
      6421,
      6241,
      7053,
      6931,
      3476,
      1646,
      4242,
      3269,
      3225,
      188,
      5690,
      1868,
      4584,
      2283,
      443,
      941,
      5955,
      1276,
      3422,
      7570,
      5465,
      3655,
      3396,
      1069,
      4707,
      1423,
      6290,
      1452,
      5561,
      2583,
      7518,
      1346,
      3443,
      1326,
      3411,
      5022,
      4836,
      7204,
      5229,
      113,
      1223,
      7489,
      5253,
      4666,
      3348,
      2166,
      1267,
      6036,
      2001,
      1646,
      690,
      4407,
      2652,
      1768,
      5317,
      3553,
      1805,
      1970,
      170,
      943,
      158,
      6435,
      3928,
      6661,
      4849,
      7205,
      5056,
      3910,
      8095,
      4491,
      6188,
      1894,
      5137,
      159,
      103,
      745,
      1444,
      7475,
      227,
      7845,
      2351,
      1993,
      1132,
      2930,
      5433,
      6311,
      630,
      780,
      1229,
      1188,
      3627,
      7509,
      6569,
      1647,
      5298,
      2228,
      4675,
      5937,
      3338,
      5418,
      7940,
      5135,
      1039,
      2359,
      275,
      6336,
      3424,
      7324,
      5929,
      3258,
      5703,
      3347,
      5348,
      1543,
      2454,
      1423,
      6183,
      4560,
      2159,
      6956,
      5701,
      6538,
      2714,
      1700,
      2584,
      4879,
      5143,
      3493,
      4297,
      937,
      6249,
      4977,
      5517,
      4876,
      5911,
      3235,
      823,
      2631,
      4552,
      5668,
      7877,
      7442,
      4414,
      5080,
      744,
      5195,
      1250,
      3294,
      3354,
      6881,
      2480,
      1223,
      3967,
      1593,
      3341,
      3277,
      1650,
      5313,
      1926,
      4338,
      47,
      3717,
      1671,
      3694,
      1331,
      791,
      1418,
      781,
      1890,
      3056,
      1941,
      6458,
      824,
      2757,
      7432,
      3660,
      2515,
      574,
      740,
      6421,
      2516,
      3852,
      1754
    ],
    [
      5441,
      6620,
      5686,
      1960,
      4464,
      3528,
      93,
      1484,
      6418,
      7339,
      3514,
      576,
      851,
      5591,
      7505,
      6370,
      7908,
      4261,
      3357,
      5937,
      1919,
      5035,
      1928,
      5668,
      718,
      2680,
      1879,
      1960,
      1086,
      5219,
      2484,
      594,
      6992,
      4871,
      2961,
      5268,
      5521,
      3186,
      3478,
      5227,
      331,
      1291,
      1611,
      4882,
      2211,
      1704,
      5432,
      6158,
      823,
      4486,
      2954,
      6802,
      5031,
      2354,
      3185,
      1012,
      7880,
      4513,
      4474,
      2900,
      4338,
      6697,
      1686,
      5478,
      6620,
      6056,
      2722,
      5000,
      2212,
      997,
      811,
      2900,
      3444,
      8084,
      5941,
      948,
      1227,
      2356,
      3544,
      346,
      6056,
      4444,
      5316,
      6729,
      6482,
      926,
      1650,
      3530,
      1370,
      6788,
      7204,
      7966,
      7301,
      665,
      2235,
      4137,
      1881,
      3617,
      4909,
      4515,
      3400,
      3681,
      3119,
      5205,
      3693,
      1002,
      6725,
      2719,
      7474,
      745,
      5678,
      5178,
      6374,
      7506,
      1187,
      1390,
      2769,
      619,
      1199,
      6658,
      7321,
      939,
      4874,
      7239,
      7810,
      1841,
      4403,
      3859,
      4584,
      603,
      6608,
      376,
      4137,
      4882,
      692,
      5462,
      5572,
      3134,
      6940,
      5740,
      6458,
      4325,
      6437,
      978,
      4980,
      6178,
      598,
      4492,
      7368,
      5462,
      1082,
      809,
      6215,
      1170,
      2265,
      6021,
      7267,
      3658,
      2755,
      7903,
      7254,
      6215,
      6433,
      3141,
      5576,
      2108,
      1879,
      6740,
      3298,
      1430,
      1443,
      7717,
      1813,
      7013,
      746,
      1612,
      1931,
      1359,
      3761,
      1625,
      63,
      5857,
      4439,
      6356,
      7207,
      2416,
      1209,
      6204,
      4205,
      1305,
      3642,
      5305,
      6614,
      6825,
      2360,
      4585,
      3440,
      2480,
      5178,
      3363,
      2016,
      3178,
      7751,
      6956,
      1772,
      5778,
      1710,
      6448,
      1815,
      4404,
      2392,
      5464,
      737,
      3149,
      2362,
      613,
      1765,
      406,
      3644,
      6547,
      3260,
      6413,
      5028,
      5776,
      1596,
      1593,
      4495,
      4397,
      417,
      6724,
      4641,
      4777,
      4036,
      2139,
      5945,
      3715,
      5612,
      7252,
      5661,
      6560,
      4518,
      3664,
      5573,
      7749,
      3685,
      1764,
      6804,
      903,
      3268,
      1819,
      1636,
      3314,
      964,
      1705,
      7686,
      6668
    ],
    [
      6667,
      6291,
      6164,
      4683,
      6346,
      7504,
      5965,
      1287,
      4693,
      2633,
      3119,
      3362,
      5127,
      6419,
      3089,
      5163,
      6954,
      3634,
      7365,
      3407,
      863,
      5014,
      1447,
      3150,
      2155,
      7745,
      7748,
      7024,
      7364,
      1939,
      1966,
      3974,
      2442,
      7378,
      3820,
      167,
      2908,
      7013,
      2345,
      1610,
      5901,
      1489,
      2118,
      6296,
      7329,
      6773,
      4677,
      4499,
      615,
      4537,
      911,
      1743,
      1426,
      3126,
      244,
      7724,
      2605,
      6948,
      1505,
      5508,
      5897,
      6368,
      6964,
      1479,
      6313,
      5420,
      5042,
      4650,
      2658,
      3841,
      5092,
      4758,
      3948,
      5736,
      638,
      4032,
      3480,
      359,
      630,
      3260,
      7694,
      1818,
      7621,
      3273,
      1636,
      3996,
      7317,
      5308,
      1460,
      3764,
      4295,
      3478,
      1690,
      293,
      1547,
      487,
      4655,
      2647,
      2700,
      1863,
      5025,
      949,
      1667,
      674,
      6935,
      6167,
      5061,
      4197,
      374,
      6708,
      7417,
      1619,
      721,
      1131,
      2706,
      3689,
      5689,
      2383,
      4719,
      2156,
      4994,
      1016,
      7619,
      5036,
      7456,
      5729,
      8098,
      6592,
      4426,
      1898,
      2515,
      7488,
      1411,
      464,
      7396,
      2490,
      3597,
      8158,
      6488,
      1741,
      7088,
      7876,
      5280,
      7226,
      555,
      919,
      303,
      2701,
      5064,
      900,
      888,
      5526,
      5765,
      2633,
      3948,
      5639,
      7570,
      1593,
      3596,
      6371,
      1411,
      1548,
      1950,
      117,
      2337,
      1972,
      8087,
      7187,
      6409,
      3664,
      443,
      7253,
      1395,
      6241,
      4905,
      4522,
      2405,
      2509,
      191,
      5925,
      7213,
      7362,
      3945,
      5544,
      5992,
      4886,
      1688,
      2710,
      1131,
      3056,
      1323,
      1260,
      2870,
      6198,
      3109,
      1853,
      3992,
      2159,
      6541,
      4435,
      3398,
      6312,
      1740,
      79,
      3538,
      817,
      3470,
      6026,
      7366,
      4566,
      7360,
      6597,
      2663,
      286,
      1200,
      2313,
      1841,
      4548,
      7958,
      1741,
      7436,
      3250,
      4996,
      4708,
      4756,
      651,
      5708,
      24,
      6484,
      1934,
      3572,
      5411,
      5428,
      4716,
      7445,
      5612,
      3593,
      3788,
      3173,
      3603,
      1940,
      1680,
      5263,
      1069,
      6658,
      3816,
      5425,
      1159,
      1182,
      2753,
      2425,
      1581,
      5781,
      359,
      3301,
      2699
    ],
    [
      442,
      2989,
      7585,
      4291,
      2225,
      1928,
      3100,
      7305,
      5410,
      2804,
      3626,
      7307,
      7362,
      500,
      398,
      5635,
      409,
      631,
      6225,
      7109,
      5680,
      7465,
      435,
      2529,
      5057,
      3396,
      1960,
      3268,
      1690,
      5577,
      4488,
      2655,
      827,
      5763,
      1766,
      107,
      1557,
      2963,
      4758,
      1188,
      7508,
      442,
      2610,
      6947,
      5788,
      6451,
      653,
      1615,
      3776,
      2102,
      4883,
      6753,
      4123,
      1989,
      1342,
      7271,
      1516,
      5515,
      236,
      2665,
      3297,
      3305,
      6185,
      7191,
      7187,
      3881,
      1562,
      2554,
      3666,
      502,
      7474,
      4950,
      1710,
      5653,
      4706,
      7013,
      4293,
      1509,
      4739,
      2024,
      2829,
      670,
      1465,
      6217,
      6197,
      6184,
      5642,
      3411,
      5784,
      1554,
      4294,
      877,
      620,
      4852,
      1164,
      2910,
      6563,
      860,
      5713,
      6324,
      1146,
      3134,
      1350,
      6514,
      4213,
      915,
      5400,
      2611,
      5639,
      1315,
      619,
      2918,
      1411,
      2249,
      8096,
      4305,
      401,
      2514,
      653,
      4195,
      2451,
      6992,
      3540,
      7246,
      5446,
      3603,
      5604,
      111,
      465,
      5458,
      3855,
      2403,
      2708,
      1206,
      1960,
      1734,
      2458,
      5036,
      2261,
      2733,
      3190,
      7556,
      7453,
      7593,
      4258,
      1272,
      2409,
      1776,
      1099,
      5829,
      8100,
      5001,
      6499,
      4266,
      500,
      6529,
      6610,
      7504,
      4314,
      2218,
      5781,
      5426,
      2355,
      7088,
      7728,
      4086,
      3000,
      3719,
      1261,
      4439,
      1215,
      2149,
      5362,
      4413,
      5291,
      3653,
      5349,
      3674,
      847,
      4449,
      2964,
      2164,
      932,
      5257,
      847,
      3536,
      2154,
      937,
      5978,
      3222,
      5707,
      2290,
      7880,
      2199,
      7271,
      5488,
      5249,
      6693,
      245,
      3507,
      3482,
      409,
      7575,
      2330,
      7751,
      6217,
      7046,
      2728,
      4660,
      47,
      7750,
      251,
      5778,
      1499,
      1482,
      5451,
      4455,
      5913,
      852,
      6204,
      4877,
      880,
      3151,
      4403,
      3113,
      3466,
      7324,
      1868,
      1837,
      2735,
      1401,
      7232,
      6561,
      1339,
      4529,
      4329,
      1489,
      760,
      1881,
      2656,
      2131,
      4407,
      6260,
      1776,
      1498,
      3858,
      3977,
      3859,
      3091,
      5705,
      6484,
      6681,
      6324,
      4518,
      4886,
      4248
    ],
    [
      3714,
      294,
      2547,
      4457,
      4976,
      4435,
      5901,
      6723,
      5455,
      771,
      569,
      7580,
      382,
      547,
      1867,
      4994,
      4813,
      1932,
      7136,
      3870,
      7500,
      313,
      1752,
      3220,
      2597,
      6080,
      6457,
      3236,
      5912,
      904,
      7300,
      1541,
      4261,
      4524,
      2725,
      2898,
      1264,
      1738,
      6043,
      5569,
      1331,
      7298,
      6984,
      5163,
      2913,
      1838,
      3496,
      2765,
      1051,
      6789,
      4409,
      7952,
      6020,
      3562,
      6092,
      1807,
      486,
      7367,
      1805,
      6709,
      2965,
      4972,
      4297,
      6549,
      925,
      6209,
      2404,
      7755,
      1833,
      876,
      650,
      4152,
      493,
      5003,
      5541,
      3379,
      775,
      2477,
      4143,
      1862,
      5974,
      6568,
      2268,
      827,
      347,
      6860,
      4405,
      4312,
      2257,
      2251,
      5204,
      1086,
      4773,
      3498,
      4121,
      2210,
      3869,
      6293,
      824,
      371,
      7689,
      64,
      3305,
      709,
      2014,
      5684,
      6798,
      2108,
      5620,
      8,
      2770,
      6000,
      3732,
      3524,
      4824,
      3623,
      5268,
      7941,
      5354,
      2381,
      5069,
      1267,
      4938,
      4322,
      7062,
      1075,
      4910,
      7496,
      5580,
      2227,
      111,
      913,
      6342,
      818,
      1891,
      4936,
      1849,
      3850,
      6723,
      2153,
      1135,
      1705,
      441,
      5418,
      5396,
      1871,
      809,
      1984,
      1636,
      6542,
      3268,
      822,
      5736,
      6228,
      1227,
      2358,
      4741,
      2892,
      3512,
      436,
      6332,
      7817,
      7417,
      2357,
      3481,
      5532,
      8072,
      5652,
      5320,
      5474,
      943,
      3188,
      1461,
      3466,
      748,
      3158,
      186,
      4712,
      3139,
      7692,
      6307,
      3598,
      1683,
      4408,
      877,
      3107,
      1453,
      6703,
      4303,
      1220,
      4433,
      4784,
      707,
      6080,
      1095,
      5468,
      4897,
      5538,
      171,
      2362,
      2419,
      2480,
      6770,
      205,
      6249,
      621,
      3284,
      7172,
      2956,
      8063,
      6268,
      1084,
      6796,
      2288,
      2546,
      610,
      2490,
      889,
      2455,
      6030,
      4608,
      1257,
      3100,
      6245,
      1236,
      3792,
      3660,
      342,
      4468,
      2134,
      3716,
      6549,
      926,
      1763,
      1125,
      4265,
      6307,
      5762,
      5568,
      1637,
      2755,
      6933,
      7492,
      2221,
      38,
      5523,
      587,
      1881,
      1889,
      374,
      7341,
      718,
      3140,
      541,
      4873,
      1199
    ],
    [
      3417,
      2270,
      3631,
      7268,
      2802,
      3149,
      5893,
      2789,
      5748,
      7905,
      2849,
      743,
      3374,
      4625,
      2443,
      4261,
      1655,
      4906,
      2473,
      1959,
      2884,
      7802,
      2691,
      474,
      7488,
      3480,
      5187,
      1047,
      6471,
      2893,
      5808,
      996,
      4031,
      3207,
      1228,
      7636,
      2512,
      1623,
      6577,
      3157,
      6560,
      6980,
      1488,
      5457,
      3938,
      3460,
      4898,
      1871,
      45,
      3877,
      744,
      4194,
      3268,
      4682,
      1459,
      5766,
      1683,
      825,
      6014,
      5590,
      7322,
      7365,
      169,
      6268,
      6698,
      2392,
      7196,
      4295,
      3476,
      1098,
      3757,
      5399,
      5254,
      4467,
      6694,
      7754,
      1524,
      7334,
      811,
      590,
      3858,
      2008,
      5261,
      671,
      2725,
      4614,
      1865,
      1456,
      7178,
      5910,
      56,
      1988,
      5212,
      5404,
      3590,
      2724,
      2025,
      2520,
      3717,
      4594,
      5395,
      51,
      5172,
      6919,
      1442,
      3814,
      2587,
      2139,
      2380,
      4916,
      2695,
      7700,
      3386,
      33,
      2187,
      3284,
      5259,
      3276,
      2668,
      7834,
      614,
      3221,
      6673,
      7322,
      8095,
      2339,
      2709,
      7234,
      3144,
      127,
      4470,
      3345,
      2595,
      8191,
      858,
      5402,
      2350,
      963,
      5698,
      973,
      5316,
      4307,
      31,
      4533,
      6720,
      1084,
      1231,
      2912,
      7689,
      6202,
      2147,
      1095,
      4367,
      6756,
      2679,
      5269,
      737,
      2391,
      7204,
      937,
      524,
      7340,
      3788,
      6868,
      5861,
      1575,
      3732,
      682,
      6427,
      4044,
      1575,
      4036,
      4458,
      7443,
      3030,
      2514,
      6820,
      1809,
      6722,
      1832,
      559,
      1464,
      3221,
      808,
      954,
      203,
      5698,
      5024,
      453,
      5524,
      835,
      7506,
      839,
      1732,
      2866,
      3753,
      234,
      611,
      4596,
      6546,
      5836,
      2846,
      2390,
      7302,
      1182,
      6886,
      1355,
      57,
      6801,
      3284,
      380,
      5570,
      4717,
      4901,
      3888,
      5572,
      1571,
      4916,
      795,
      968,
      7400,
      500,
      807,
      6471,
      1417,
      6591,
      4837,
      4300,
      7236,
      5277,
      919,
      937,
      451,
      3000,
      4894,
      2588,
      6892,
      7367,
      787,
      4659,
      3380,
      3824,
      4922,
      3596,
      2469,
      1931,
      2820,
      496,
      2450,
      1772,
      6195,
      2613,
      4569,
      7593,
      825,
      2111
    ],
    [
      5733,
      6281,
      1145,
      2322,
      6954,
      4185,
      3377,
      3781,
      3598,
      1932,
      3478,
      366,
      4414,
      764,
      2603,
      1149,
      6578,
      1362,
      5684,
      4816,
      5189,
      5575,
      3909,
      1235,
      6348,
      1433,
      5318,
      3732,
      622,
      7628,
      3620,
      7056,
      3489,
      2754,
      5741,
      4149,
      5123,
      6714,
      7124,
      4596,
      7943,
      1660,
      2764,
      2668,
      5393,
      1471,
      2701,
      5912,
      4529,
      4473,
      3331,
      618,
      709,
      4257,
      3141,
      7945,
      4837,
      2269,
      5912,
      933,
      6978,
      6315,
      7219,
      7337,
      6032,
      5389,
      1942,
      5427,
      707,
      3784,
      2133,
      3910,
      5455,
      189,
      7750,
      7445,
      807,
      5940,
      2843,
      1444,
      4710,
      668,
      460,
      3602,
      5012,
      6428,
      5210,
      1684,
      4428,
      4814,
      809,
      301,
      2974,
      5036,
      2768,
      4466,
      3670,
      3214,
      826,
      7365,
      2796,
      4265,
      4874,
      6227,
      1450,
      2864,
      4487,
      3237,
      3241,
      3559,
      4902,
      7219,
      2728,
      2417,
      7575,
      5018,
      3043,
      6724,
      7052,
      3123,
      2677,
      6149,
      2548,
      1870,
      1693,
      5836,
      5356,
      6953,
      5448,
      5464,
      3689,
      6295,
      1950,
      5037,
      7753,
      5138,
      3738,
      6151,
      652,
      2724,
      4722,
      837,
      4208,
      5766,
      363,
      3590,
      1989,
      4186,
      2615,
      6513,
      4559,
      5937,
      890,
      5178,
      2785,
      7050,
      484,
      5828,
      865,
      6732,
      4374,
      5857,
      5456,
      3972,
      5452,
      674,
      7124,
      5364,
      4836,
      875,
      5901,
      4950,
      4409,
      1337,
      5482,
      1249,
      7881,
      6081,
      3401,
      7244,
      4928,
      7974,
      5636,
      3749,
      5671,
      4964,
      1171,
      6951,
      3235,
      1250,
      1838,
      707,
      1221,
      7140,
      6244,
      1355,
      2358,
      6692,
      819,
      6261,
      7210,
      3505,
      498,
      951,
      944,
      3788,
      3459,
      3602,
      5189,
      1686,
      6577,
      1764,
      6961,
      6833,
      1741,
      4712,
      2162,
      4813,
      1863,
      5838,
      1135,
      7178,
      2359,
      7653,
      4694,
      3553,
      1675,
      7474,
      709,
      3128,
      7317,
      7639,
      502,
      6028,
      1497,
      2151,
      4600,
      4507,
      4016,
      4334,
      2669,
      1148,
      5354,
      821,
      1764,
      5017,
      5454,
      7506,
      645,
      2474,
      4268,
      616,
      3384,
      3091,
      3625,
      5436
    ],
    [
      6934,
      5681,
      6555,
      3907,
      1869,
      4355,
      1400,
      7747,
      6722,
      6200,
      3353,
      736,
      4385,
      3142,
      2362,
      4773,
      1087,
      750,
      2876,
      3785,
      866,
      830,
      4504,
      5408,
      1645,
      6374,
      6415,
      1874,
      3744,
      3300,
      1484,
      1453,
      2358,
      5902,
      6464,
      6374,
      1329,
      3649,
      7876,
      4432,
      1915,
      617,
      2514,
      6742,
      412,
      4901,
      4372,
      6505,
      6256,
      6544,
      2335,
      2843,
      2971,
      476,
      557,
      3115,
      3164,
      4182,
      3734,
      3153,
      558,
      4625,
      881,
      7593,
      4754,
      6918,
      1386,
      7441,
      6021,
      7088,
      741,
      6369,
      978,
      6200,
      3686,
      5741,
      799,
      575,
      969,
      5311,
      1701,
      6448,
      5868,
      1210,
      717,
      2630,
      1930,
      1944,
      5147,
      3768,
      6422,
      3619,
      5612,
      7333,
      2699,
      6552,
      4143,
      5829,
      1435,
      2380,
      3610,
      5445,
      589,
      3648,
      7685,
      1859,
      5381,
      6112,
      7245,
      818,
      372,
      5645,
      5269,
      1000,
      6040,
      1071,
      6802,
      3594,
      3234,
      3654,
      5131,
      1488,
      6309,
      1851,
      6689,
      4436,
      1760,
      5766,
      1628,
      3221,
      2518,
      2390,
      5315,
      1319,
      1125,
      7479,
      1452,
      310,
      5393,
      3085,
      2693,
      4476,
      6613,
      3219,
      5570,
      1610,
      5956,
      471,
      1287,
      4631,
      2946,
      1992,
      6490,
      6159,
      4772,
      1942,
      1960,
      3264,
      7454,
      979,
      4962,
      1189,
      2085,
      6486,
      4886,
      3130,
      4210,
      5228,
      2071,
      6757,
      4716,
      2365,
      5672,
      3470,
      1849,
      2448,
      810,
      2427,
      5776,
      2147,
      2773,
      439,
      478,
      4743,
      7046,
      2386,
      7808,
      2874,
      5977,
      227,
      1677,
      1878,
      7195,
      4531,
      2964,
      1059,
      920,
      3270,
      2993,
      6700,
      4528,
      7209,
      567,
      5490,
      5197,
      2388,
      7759,
      6504,
      8080,
      5844,
      441,
      5670,
      1922,
      2701,
      4537,
      1640,
      2697,
      5293,
      7366,
      4594,
      1435,
      6825,
      4926,
      6422,
      3286,
      5793,
      3462,
      4172,
      614,
      6716,
      980,
      7820,
      2953,
      6312,
      2878,
      4562,
      4034,
      1489,
      1831,
      565,
      7393,
      7302,
      3203,
      1317,
      5044,
      4174,
      2670,
      2407,
      4547,
      4920,
      7703,
      2266,
      5092,
      1590,
      1022,
      7568
    ]
  ]
}