In [1]:
#import package
import matplotlib.pyplot as plt
from astropy.io import fits
hdu=fits.open('Skyserver_Radial9_19_2017 8_52_39 AM.fits')

In [2]:
#get data units
datas=hdu[1].data

In [4]:
#show datas
datas.columns


Out[4]:
ColDefs(
    name = 'objid'; format = '1K'
    name = 'ra'; format = '1D'
    name = 'dec'; format = '1D'
    name = 'u'; format = '1E'
    name = 'g'; format = '1E'
    name = 'r'; format = '1E'
    name = 'i'; format = '1E'
    name = 'z'; format = '1E'
)

In [5]:
datas


Out[5]:
FITS_rec([ (1237671939804562519,  258.13436687,  64.09049701,  22.4903698 ,  21.88275146,  21.2718544 ,  20.89672279,  20.78155708),
          (1237671939804562500,  258.120833  ,  64.09326053,  25.32358742,  22.58471489,  22.4037838 ,  22.1588459 ,  23.16862488),
          (1237671939804561946,  258.1211659 ,  64.09653506,  20.81779289,  18.9850502 ,  18.10110664,  17.6854496 ,  17.34734535),
          (1237671939804561965,  258.13806222,  64.0957581 ,  25.38673019,  20.43143272,  19.58249092,  19.21133804,  18.98738098),
          (1237671939804562505,  258.12313692,  64.08943688,  22.55269051,  20.78821564,  20.39396667,  19.98551369,  19.97560501),
          (1237671939804562518,  258.12982206,  64.09765549,  26.26351738,  22.64985085,  22.32249832,  22.85140419,  21.8892765 ),
          (1237671939804561499,  258.12866405,  64.08476454,  20.98551941,  18.87457848,  18.08698463,  17.70305061,  17.51882362),
          (1237671939804561964,  258.14196376,  64.09718656,  18.70764732,  17.85797882,  17.73390961,  17.49046135,  17.52496147),
          (1237671939804562485,  258.10959411,  64.09340559,  23.71580315,  22.3502121 ,  21.69571495,  21.7143116 ,  21.67258835),
          (1237671939804562495,  258.11392319,  64.09903891,  22.93187523,  22.22756767,  22.02582169,  21.89028168,  22.84011269),
          (1237671939804562844,  258.11711101,  64.09009767,  27.60722542,  22.31022263,  21.36778831,  20.97742844,  21.72789001),
          (1237671939804561481,  258.15792702,  64.08875922,  20.51149368,  18.47373581,  17.5841217 ,  17.13854218,  16.87547493),
          (1237671939804561485,  258.15021714,  64.08553736,  20.90478325,  18.53857803,  17.64122581,  17.19605446,  16.91060066),
          (1237671939804561491,  258.10977975,  64.08211976,  21.07705498,  18.82710648,  17.85457993,  17.4108181 ,  17.12146759),
          (1237671939804561597,  258.17073417,  64.09558236,  24.60775566,  24.59552574,  23.95066833,  23.56436157,  22.13702393),
          (1237671939804561599,  258.168098  ,  64.0962171 ,  24.7965374 ,  25.14916039,  24.53140831,  22.77975273,  22.85341835),
          (1237671939804561948,  258.11957617,  64.10908255,  18.62674141,  17.77855301,  17.48283005,  17.1900444 ,  17.12990189),
          (1237671939804561973,  258.15011697,  64.09912733,  22.12646103,  20.16823769,  19.43444824,  19.04507065,  18.77231789),
          (1237671939804562471,  258.09699827,  64.09831744,  23.67860603,  21.6683197 ,  20.04966354,  19.2231636 ,  18.91150475),
          (1237671939804562479,  258.10359033,  64.09291371,  23.82493973,  21.51460648,  21.2573719 ,  20.99398804,  20.36449623),
          (1237671939804562557,  258.15727711,  64.10377128,  23.07490921,  22.73141098,  22.04925346,  21.50926781,  21.52150154),
          (1237671939804562563,  258.16662144,  64.0928929 ,  21.94034576,  20.0904274 ,  19.24800873,  18.86247253,  18.60214233),
          (1237671939804563009,  258.10399225,  64.09022037,  25.51157188,  23.99988937,  25.66896439,  23.0312767 ,  20.49095917),
          (1237671768542545404,  258.10871385,  64.11497701,  24.34735107,  23.53608322,  22.72927094,  22.76271439,  22.58123398),
          (1237671768542545619,  258.1294974 ,  64.11538661,  21.64937019,  22.77701759,  21.18946457,  21.67444801,  20.95059204),
          (1237671939804561466,  258.14536147,  64.07070396,  17.96586037,  15.4352808 ,  14.45424843,  13.74994755,  13.6996212 ),
          (1237671939804561492,  258.13845239,  64.07166635,  21.58019638,  19.2068367 ,  18.25627708,  17.86593056,  17.50069237),
          (1237671939804561496,  258.08115164,  64.07848142,  21.35120583,  19.32233238,  18.32126236,  17.88846779,  17.57718086),
          (1237671939804561509,  258.16738323,  64.07827018,  24.68578339,  20.71319771,  20.1040287 ,  20.24548531,  19.81272507),
          (1237671939804561523,  258.16446865,  64.07767305,  23.53408813,  21.5357933 ,  20.98200226,  20.66260338,  20.64589119),
          (1237671939804561573,  258.14679052,  64.11470922,  23.35744286,  22.61294365,  21.51213646,  20.94553375,  20.57629967),
          (1237671939804561574,  258.1567903 ,  64.11353311,  24.66213608,  23.03866386,  22.53659439,  21.96815872,  21.81741905),
          (1237671939804561594,  258.17998562,  64.09993612,  23.18478584,  17.79026031,  18.14451218,  17.12287712,  24.45289803),
          (1237671939804561598,  258.17164852,  64.10324349,  24.58655357,  22.63354874,  21.57668304,  21.19215584,  22.4034214 ),
          (1237671939804562445,  258.08866794,  64.08331728,  22.20807648,  20.02121353,  19.18140793,  18.8011322 ,  18.62610054),
          (1237671939804562499,  258.11357778,  64.1115004 ,  24.09599686,  21.92200851,  21.46807289,  21.13830757,  20.45791626),
          (1237671939804562541,  258.13630981,  64.11207044,  25.35242462,  21.47177315,  20.63425827,  20.25266838,  20.08774185),
          (1237671939804562831,  258.08365077,  64.10156118,  25.03918266,  22.8343277 ,  21.90712166,  21.78161049,  21.61250114),
          (1237671939804562874,  258.18372248,  64.08532372,  24.1702137 ,  22.97151566,  22.42696762,  22.21052933,  21.80451012),
          (1237671768542544344,  258.13601404,  64.12750761,  19.94157791,  18.79694939,  18.4131813 ,  18.16190529,  17.98759651),
          (1237671768542544360,  258.14898456,  64.12706868,  24.41334534,  20.95985413,  20.19981575,  19.78746223,  19.42087936),
          (1237671768542544540,  258.06871074,  64.11241656,  21.99095154,  22.28727722,  21.54307747,  21.59599113,  21.60466576),
          (1237671768542544987,  258.09209718,  64.11614057,  22.36199379,  22.3191967 ,  21.63246727,  21.44205093,  20.31321335),
          (1237671768542545063,  258.13033714,  64.12503676,  25.67716599,  22.67676353,  22.73038483,  22.38770676,  21.45927048),
          (1237671768542545125,  258.16193675,  64.11649892,  23.12530708,  21.27814674,  20.59830284,  20.26829338,  20.21788597),
          (1237671768542545147,  258.17090323,  64.12261934,  23.00465775,  24.1660881 ,  22.91627884,  22.0431366 ,  22.06341743),
          (1237671768542545374,  258.05710432,  64.10888972,  26.56431007,  23.47456169,  21.94928932,  21.37500572,  21.30499458),
          (1237671768542545392,  258.08669959,  64.12045469,  22.5430851 ,  23.27952385,  22.35035324,  22.11306381,  21.69119644),
          (1237671768542545396,  258.09206059,  64.12139247,  26.41601944,  22.96154213,  22.24693108,  21.58041191,  21.00979614),
          (1237671768542545574,  258.12852656,  64.1187381 ,  23.20696068,  23.58168983,  22.71475792,  21.09388351,  20.88361359),
          (1237671768542545580,  258.14281919,  64.12353044,  24.22904205,  23.90440369,  23.02565384,  21.97256851,  23.83002853),
          (1237671939804561471,  258.06600409,  64.07257668,  19.73644066,  17.59239769,  16.65128899,  16.20863724,  15.90532875),
          (1237671939804561472,  258.17098693,  64.07269654,  19.24468613,  17.08180428,  16.12346458,  15.65042782,  15.33794022),
          (1237671939804561476,  258.11994607,  64.06074829,  17.35083199,  14.94664669,  14.03749752,  13.5692091 ,  13.33718967),
          (1237671939804561480,  258.10695466,  64.0654284 ,  19.61823845,  17.79925728,  16.86330223,  16.40732956,  16.10146904),
          (1237671939804561488,  258.17023885,  64.07091593,  21.39686966,  18.99444962,  18.08592224,  17.74780846,  17.28483391),
          (1237671939804561497,  258.1404835 ,  64.06757694,  21.29523087,  19.57046318,  18.74044991,  18.27334976,  22.82689667),
          (1237671939804561500,  258.08535508,  64.06477135,  24.39861488,  23.22829247,  18.99702072,  19.36614227,  18.10238266),
          (1237671939804561501,  258.18535286,  64.08283128,  21.36380768,  19.47929001,  18.51235962,  18.08555222,  17.83400345),
          (1237671939804561510,  258.17234484,  64.06244923,  21.59576416,  19.38528824,  24.80205345,  24.36181831,  18.08524895),
          (1237671939804561512,  258.19521321,  64.07501072,  22.91771317,  19.92184448,  18.72727394,  18.3406086 ,  18.27122116),
          (1237671939804561525,  258.1641576 ,  64.06633794,  28.3943367 ,  26.17439461,  16.19937897,  21.88538933,  27.89600563),
          (1237671939804561529,  258.10421235,  64.05974919,  24.39959717,  22.57489014,  21.78040314,  21.20488739,  21.36896896),
          (1237671939804561531,  258.18933511,  64.07623875,  22.76497841,  21.90502548,  21.15758705,  20.67229271,  20.6456604 ),
          (1237671939804561532,  258.18338645,  64.07446838,  23.85323524,  22.23100281,  21.81331444,  21.1529026 ,  21.69784927),
          (1237671939804561595,  258.18670432,  64.10229262,  23.6727047 ,  25.11458015,  21.07395744,  20.85138893,  20.17657089),
          (1237671939804562076,  258.0530819 ,  64.0820749 ,  21.23391724,  19.47711182,  18.69418526,  18.33224487,  18.15294647),
          (1237671939804562079,  258.0716004 ,  64.08871684,  21.719244  ,  20.04826736,  19.25757217,  18.83962631,  18.57904816),
          (1237671939804562099,  258.19967179,  64.09082734,  21.4204216 ,  19.90047073,  19.04905319,  18.65326309,  18.32400131),
          (1237671939804562100,  258.19635519,  64.09134263,  24.09327888,  21.22285271,  20.48440361,  20.1716404 ,  20.09711456),
          (1237671939804562411,  258.0487836 ,  64.09528109,  25.41868973,  22.33916473,  20.71052551,  19.83000565,  19.39723396),
          (1237671939804562433,  258.06976439,  64.07947053,  24.73534775,  22.46936417,  21.54981995,  21.22272301,  20.61289024),
          (1237671939804562444,  258.07983441,  64.10616693,  21.76701164,  19.97063255,  19.15434647,  18.73979568,  18.43078613),
          (1237671939804562573,  258.16368508,  64.11370052,  24.03878784,  22.41458321,  21.575634  ,  21.35926247,  21.2780571 ),
          (1237671939804562594,  258.18917935,  64.10007978,  22.35586166,  22.58019829,  21.66636848,  21.47992325,  21.0826931 ),
          (1237671939804562615,  258.20238744,  64.10540869,  25.35346985,  22.29059029,  21.71039772,  21.84990501,  21.46085548),
          (1237671939804562823,  258.06872871,  64.09163842,  24.50889015,  23.54299355,  22.28746796,  21.99737358,  21.47331047),
          (1237671939804562877,  258.18121576,  64.10428703,  23.87316513,  23.30655098,  22.3908596 ,  22.26855659,  22.19370651),
          (1237671939804562886,  258.19318731,  64.10816262,  26.22367668,  25.71666718,  22.47224808,  21.3205719 ,  20.40536308),
          (1237671939804562890,  258.20451792,  64.09602877,  25.36058426,  24.74877167,  22.510952  ,  23.47868538,  22.7151947 ),
          (1237671939804562966,  258.06631076,  64.0802649 ,  26.74902153,  22.44932365,  21.75118828,  20.88227463,  20.93815041),
          (1237671768542544267,  258.0639667 ,  64.11618074,  20.19920731,  18.64829826,  18.2558651 ,  18.06380081,  17.86045265),
          (1237671768542544268,  258.06988002,  64.1171466 ,  23.56313515,  23.0597496 ,  23.05990601,  21.99073219,  22.4101944 ),
          (1237671768542544385,  258.15221818,  64.13856936,  22.53927994,  20.12421799,  19.44245148,  19.05527496,  18.92442703),
          (1237671768542544910,  258.04500549,  64.11651793,  22.1550808 ,  21.58461952,  20.83469963,  20.65116692,  20.19189835),
          (1237671768542544956,  258.06435482,  64.13196971,  22.69511795,  22.41654015,  21.87376022,  22.35837173,  22.39785194),
          (1237671768542545006,  258.1008853 ,  64.12815988,  21.6849556 ,  19.92713356,  19.18082047,  18.85895729,  18.58064461),
          (1237671768542545007,  258.09692593,  64.12685762,  22.34807587,  20.54237175,  19.77369118,  19.30945206,  19.16023636),
          (1237671768542545134,  258.16335701,  64.12756719,  21.99398613,  20.8539505 ,  20.14753151,  20.01300049,  19.89434242),
          (1237671768542545139,  258.16342678,  64.1348486 ,  22.34792137,  21.18216515,  19.91031075,  19.45166588,  18.95059967),
          (1237671768542545164,  258.17379097,  64.12762752,  22.32193565,  21.5015831 ,  20.96578026,  20.82224464,  20.5333786 ),
          (1237671768542545172,  258.18143977,  64.13456223,  21.9330101 ,  21.18361855,  20.13434029,  19.69096756,  19.34074974),
          (1237671768542545176,  258.19334496,  64.12584615,  26.06869316,  21.58931732,  20.07150459,  19.43065262,  18.90949059),
          (1237671768542545202,  258.20529311,  64.12263833,  22.63969421,  21.01955223,  20.18667793,  20.04645729,  19.61706924),
          (1237671768542545370,  258.05384167,  64.11181695,  26.31166649,  24.82793808,  22.44409943,  21.57762909,  21.01715088),
          (1237671768542545378,  258.06071121,  64.12684476,  23.65592575,  23.49892616,  22.75614357,  22.60911751,  22.20983696),
          (1237671768542545379,  258.06469407,  64.11988093,  25.81009293,  23.95539474,  22.52143669,  21.77540207,  20.91506195),
          (1237671768542545397,  258.08898493,  64.13023212,  24.69671631,  23.0359478 ,  21.81751633,  21.48680687,  21.26702881),
          (1237671768542545422,  258.11455494,  64.13969505,  23.45916939,  24.86617661,  22.74849129,  22.50642204,  21.61115265),
          (1237671768542545436,  258.13841628,  64.13003573,  23.36754227,  23.4681263 ,  22.68937302,  23.22621727,  22.75341606),
          (1237671768542545440,  258.15768766,  64.13684072,  23.43390465,  22.78063011,  21.04624748,  19.95515442,  19.52620697),
          (1237671939804561475,  258.21335662,  64.07316958,  19.2498188 ,  17.20154953,  16.26257515,  15.75251865,  15.49400997),
          (1237671939804561484,  258.18163622,  64.05353955,  19.60752296,  17.72212982,  16.78736687,  16.35057831,  16.07873154),
          (1237671939804561489,  258.1439303 ,  64.0533777 ,  20.98646736,  18.96361923,  17.96308708,  17.51005173,  17.18034363),
          (1237671939804561495,  258.06925681,  64.05868665,  20.83671951,  18.65033531,  17.70705223,  17.28511047,  17.01028061),
          (1237671939804561503,  258.10855167,  64.05746489,  22.08111   ,  19.90777206,  19.02787209,  18.64644432,  18.31486893),
          (1237671939804561504,  258.0905969 ,  64.05348172,  23.57159996,  25.1143837 ,  19.43190193,  24.36180305,  18.66502762),
          (1237671939804561505,  258.21363917,  64.0770536 ,  21.75709534,  19.56521988,  18.74809456,  18.29301071,  18.21055984),
          (1237671939804561520,  258.16753022,  64.05172409,  25.00922966,  21.35797882,  23.08979225,  22.755476  ,  21.85972977),
          (1237671939804561521,  258.13834284,  64.05514121,  23.47712135,  18.87982368,  24.79969215,  19.36915588,  22.02257919),
          (1237671939804561535,  258.2068158 ,  64.07445982,  21.64249229,  21.27214432,  21.43029404,  21.4076519 ,  21.86868858),
          (1237671939804561538,  258.12165509,  64.04876976,  23.5241127 ,  22.05326843,  21.21463203,  20.89396667,  20.9425621 ),
          (1237671939804561634,  258.2218887 ,  64.10297206,  24.63616753,  22.63252449,  22.21364784,  21.51374435,  21.13390541),
          (1237671939804561876,  258.02708793,  64.08900216,  20.50019646,  18.82181358,  17.91174316,  17.48716545,  17.18187141),
          (1237671939804561879,  258.0391384 ,  64.06640277,  20.64035797,  19.02486801,  18.1091156 ,  17.72399521,  17.43600655),
          (1237671939804561880,  258.04508223,  64.06606937,  24.33429146,  22.72618294,  21.12518692,  20.65604973,  20.34233093),
          (1237671939804561890,  258.04334197,  64.07031409,  21.11880493,  19.06419754,  18.15629959,  17.73802757,  17.40659904),
          (1237671939804561891,  258.04831233,  64.0729621 ,  21.95277786,  21.47652817,  20.83504295,  20.73385811,  20.41288376),
          (1237671939804561892,  258.04733903,  64.07199237,  24.10761642,  20.19113159,  19.63272667,  19.21253395,  19.4075985 ),
          (1237671939804561894,  258.0451102 ,  64.07103663,  21.92212677,  21.89097404,  21.34464455,  21.63135529,  21.27878952),
          (1237671939804561897,  258.0334743 ,  64.09738314,  19.95870018,  18.12499237,  17.24801254,  16.83677864,  16.53232193),
          (1237671939804562017,  258.21726777,  64.09224989,  21.37157822,  19.62795639,  18.77908516,  18.36513329,  18.08855438),
          (1237671939804562020,  258.21811627,  64.09036262,  23.11127663,  21.37111664,  20.94032288,  20.63580513,  21.55689812),
          (1237671939804562021,  258.21198029,  64.09318179,  25.42311287,  22.31513214,  21.35748482,  21.01550865,  21.64271164),
          (1237671939804562022,  258.21467655,  64.09336231,  24.77159119,  23.44093895,  22.47165298,  23.69174004,  22.08815384),
          (1237671939804562075,  258.04324531,  64.10238958,  21.90315247,  20.02425385,  19.17901039,  18.79069328,  18.56085014),
          (1237671939804562371,  258.02793767,  64.07794119,  22.85480118,  21.63897133,  20.91919136,  20.58511925,  20.19672203),
          (1237671939804562379,  258.02125713,  64.09698674,  24.07684517,  21.77254295,  21.07636642,  20.98485184,  20.4126606 ),
          (1237671939804562385,  258.03408381,  64.07528665,  22.83347702,  21.71327782,  20.97315407,  20.61969376,  20.3955555 ),
          (1237671939804562386,  258.03363372,  64.08154861,  23.64694405,  21.64870071,  21.0675621 ,  20.88275528,  20.54089165),
          (1237671939804562395,  258.03875412,  64.08795513,  22.36205864,  21.99705505,  21.54034615,  21.36290932,  21.56962967),
          (1237671939804562399,  258.05520973,  64.05764019,  25.71151352,  21.73720551,  21.27511024,  20.75610542,  21.14034081),
          (1237671939804562400,  258.04550285,  64.08305571,  25.22044373,  22.06838036,  21.11328506,  20.60077095,  20.70586205),
          (1237671939804562405,  258.04349148,  64.09249902,  22.33740425,  21.32023048,  20.10409546,  19.61097908,  19.16816139),
          (1237671939804562406,  258.04426194,  64.09126468,  24.81077576,  21.58947563,  20.69547462,  20.30988312,  20.45991516),
          (1237671939804562418,  258.04774035,  64.10781822,  23.12749481,  21.4979763 ,  21.33306503,  21.01251984,  20.97634888),
          (1237671939804562469,  258.11149576,  64.04911495,  22.95838356,  21.88933372,  21.80287552,  21.25644684,  22.16396332),
          (1237671939804562616,  258.21832585,  64.06319184,  24.68089867,  22.3715992 ,  21.77992249,  21.11139107,  22.20892715),
          (1237671939804562619,  258.21424848,  64.08445899,  23.36260605,  22.80805397,  22.26479912,  21.97604561,  22.90914726),
          (1237671939804562634,  258.22237294,  64.08635138,  25.19355011,  22.64838219,  21.84107208,  21.22533226,  20.77046394),
          (1237671939804562636,  258.21685044,  64.10919507,  22.06959534,  21.2002182 ,  20.4763546 ,  20.1331768 ,  19.96362495),
          (1237671939804562638,  258.21383815,  64.11741488,  23.18846321,  22.05173683,  21.49801636,  21.2965641 ,  21.78978729),
          (1237671939804562641,  258.21784581,  64.11276788,  23.19127464,  20.52626801,  19.77511597,  19.4198761 ,  19.14159012),
          (1237671939804562652,  258.23402675,  64.07921984,  24.25759697,  21.526474  ,  20.77946472,  20.5034771 ,  20.09412766),
          (1237671939804562653,  258.22372847,  64.10811301,  25.12379074,  21.88823128,  21.07946777,  20.98469543,  20.56483841),
          (1237671939804562656,  258.23418622,  64.08990078,  23.29474449,  22.34057617,  21.50584984,  21.03623772,  20.44712257),
          (1237671939804562658,  258.22628505,  64.1137669 ,  24.91650009,  22.14178848,  21.47889328,  21.1570015 ,  21.4669323 ),
          (1237671939804562663,  258.2389757 ,  64.0954076 ,  24.043396  ,  24.6306324 ,  22.22322083,  21.23786354,  21.00987816),
          (1237671939804562807,  258.03274312,  64.105499  ,  25.23625183,  23.21425247,  22.46210861,  22.23594284,  21.82218552),
          (1237671939804562887,  258.21020204,  64.06781097,  23.52986717,  23.33573723,  22.31179237,  22.34578896,  22.87824249),
          (1237671939804562907,  258.21712812,  64.1038197 ,  25.1350174 ,  22.7238636 ,  21.91236115,  21.9020443 ,  21.03821564),
          (1237671939804562990,  258.20765544,  64.1182027 ,  23.76947212,  24.55717659,  23.97426414,  22.00806046,  21.25291252),
          (1237671939804563019,  258.21948774,  64.06734745,  23.03094482,  23.96461296,  22.36789513,  22.30905724,  22.36929512),
          (1237671939804563026,  258.05601392,  64.07220145,  21.27672768,  26.4846611 ,  22.54823494,  20.1739769 ,  21.8847084 ),
          (1237671768542543938,  258.01385079,  64.12321422,  24.63464737,  23.63990974,  21.51319504,  20.73051262,  22.82689285),
          (1237671768542543941,  257.99354972,  64.12043669,  23.9031086 ,  22.55511475,  21.46694946,  21.18843269,  20.46861458),
          (1237671768542543942,  258.00885426,  64.12935313,  24.28759766,  21.92327118,  21.27339554,  20.93610764,  22.00181389),
          (1237671768542543943,  258.02244622,  64.12578348,  24.32819939,  24.50533485,  22.34988785,  21.44425011,  22.12561989),
          (1237671768542543946,  258.01482652,  64.11632376,  24.49768066,  23.5945015 ,  22.47334099,  21.81429482,  23.19316864),
          (1237671768542543947,  258.02213229,  64.12391709,  23.47936821,  25.18151283,  24.11762047,  22.10268021,  22.08295822),
          (1237671768542543952,  258.01898054,  64.12159971,  24.51091957,  24.99426842,  25.25182915,  22.79878998,  23.44718361),
          (1237671768542543953,  258.01080038,  64.12648757,  25.18037033,  24.72078705,  24.68144226,  22.58086395,  23.97602463),
          (1237671768542543954,  258.01229327,  64.11502279,  24.90158844,  23.97149277,  23.6931591 ,  22.59501076,  22.73891449),
          (1237671768542543956,  257.99738374,  64.12236476,  23.86285019,  25.15647507,  24.4209919 ,  22.65548706,  22.46276093),
          (1237671768542544239,  258.02863539,  64.14219902,  19.65693665,  17.98155212,  17.41031837,  16.96969604,  16.73729324),
          (1237671768542544245,  258.03864612,  64.12936531,  23.5794239 ,  21.90988541,  20.97332954,  20.55369949,  20.05347824),
          (1237671768542544246,  258.04291384,  64.12842964,  25.41767311,  22.78665352,  21.96889114,  20.68044853,  19.88487434),
          (1237671768542544274,  258.05699892,  64.14100236,  19.24309921,  17.33631134,  16.45946121,  16.0550251 ,  15.70289993),
          (1237671768542544275,  258.06336158,  64.14222569,  22.07024002,  21.57175636,  20.67603111,  20.2723465 ,  19.67040443),
          (1237671768542544302,  258.07058622,  64.13997048,  21.22519302,  19.40198135,  18.56439972,  18.22244072,  17.91962433),
          (1237671768542544330,  258.09565998,  64.14127939,  18.59751701,  17.57762146,  17.20822334,  16.8720932 ,  16.74444008),
          (1237671768542544479,  258.1268786 ,  64.15856762,  19.3175087 ,  17.92220306,  17.22688103,  16.83440399,  16.59118462),
          (1237671768542544480,  258.12216913,  64.15847685,  21.9425087 ,  20.30252457,  19.77985191,  19.52483559,  19.35887527),
          (1237671768542544803,  257.98844764,  64.10925813,  23.95146942,  22.5533123 ,  21.30068588,  22.83512306,  21.92571068),
          (1237671768542544812,  257.99252882,  64.11279835,  23.50639534,  22.90086174,  22.6150322 ,  21.77683449,  21.60153961),
          (1237671768542544826,  258.00188207,  64.10456108,  23.28792572,  22.53049469,  21.64409637,  20.95923424,  20.77077293),
          (1237671768542544862,  258.0184573 ,  64.11277609,  23.69267654,  24.62630844,  22.8845787 ,  21.29611969,  22.30342484),
          (1237671768542544922,  258.04465548,  64.13654861,  23.35464859,  21.39803505,  20.59458542,  20.19731522,  19.90806198),
          (1237671768542544949,  258.06005473,  64.13485397,  23.32671165,  22.6716156 ,  21.92567253,  20.93009567,  20.94216919),
          (1237671768542544986,  258.08258312,  64.14077907,  23.79696655,  21.63239098,  20.96046829,  20.52310371,  20.1599865 ),
          (1237671768542544997,  258.08736397,  64.14374794,  26.38360023,  21.3827076 ,  20.9474144 ,  20.94047165,  21.22987175),
          (1237671768542545177,  258.18232233,  64.15538145,  26.62792206,  20.50279236,  19.6733017 ,  19.25947952,  19.23966217),
          (1237671768542545205,  258.20039229,  64.13469297,  23.16470718,  22.57406616,  21.71760178,  20.97982025,  20.87249947),
          (1237671768542545207,  258.19764474,  64.15131422,  25.76296806,  22.10185051,  21.12743759,  21.08928871,  20.51291084),
          (1237671768542545215,  258.20698577,  64.13761   ,  23.05037689,  22.66055679,  21.58061981,  21.50641251,  23.44474983),
          (1237671768542545216,  258.20926783,  64.13689284,  22.89081764,  23.60207939,  22.89661217,  22.47809601,  22.67259979),
          (1237671768542545321,  257.97999182,  64.10961423,  23.20964241,  23.4630146 ,  22.36524582,  22.33534813,  21.78269768),
          (1237671768542545330,  257.99425535,  64.11024535,  23.74882126,  23.28755379,  22.39689064,  22.67097664,  21.85635376),
          (1237671768542545360,  258.0354102 ,  64.12475686,  24.80725861,  24.64718437,  22.30363655,  20.98190117,  20.06748009),
          (1237671768542545372,  258.04449842,  64.14079606,  22.83308792,  23.69950867,  21.38250732,  20.25900459,  19.7930336 ),
          (1237671768542545380,  258.05814448,  64.13739692,  23.32343102,  23.68774605,  22.56233406,  23.18047142,  21.05385971),
          (1237671768542545389,  258.06763123,  64.14668408,  23.15722084,  23.75492477,  22.70051765,  21.93887138,  21.14082527),
          (1237671768542545390,  258.06812541,  64.1506725 ,  25.35160637,  24.12044525,  22.76568794,  21.49975777,  20.64055634),
          (1237671768542545391,  258.07242688,  64.14354872,  23.30183792,  23.58395576,  22.87263489,  22.90176392,  23.13524437),
          (1237671768542545399,  258.0869435 ,  64.13953194,  22.54992867,  23.57098389,  22.05608368,  22.03574371,  21.38387108),
          (1237671768542545413,  258.09701131,  64.15132231,  25.4460392 ,  24.06722832,  23.07358551,  22.17838287,  21.79647827),
          (1237671768542545424,  258.11510218,  64.14597662,  26.26921272,  24.67655945,  22.08655357,  22.84811401,  24.18711281),
          (1237671768542545465,  258.20197145,  64.13284747,  23.60611916,  23.44752884,  22.55566788,  22.74310493,  21.32859993),
          (1237671768542545582,  258.13965012,  64.14175276,  23.29051018,  24.23416901,  22.53523064,  21.46191788,  20.57266998),
          (1237671768542545595,  258.20102896,  64.14128517,  25.632967  ,  25.2063961 ,  23.6042614 ,  22.05754852,  21.30087662),
          (1237671768542545616,  258.05734351,  64.14985051,  24.52392197,  23.52324295,  22.53734207,  22.54462051,  22.24198914),
          (1237671768542545620,  258.16590093,  64.15268802,  26.51794052,  23.36034584,  22.52585411,  22.07669067,  21.27237511),
          (1237671768542545631,  258.11536775,  64.15827799,  22.76713181,  23.95627785,  22.69630623,  21.89293098,  21.29977226),
          (1237671768542609426,  258.23329947,  64.13430663,  22.16420364,  21.9752903 ,  20.59409332,  20.22246933,  19.88893509),
          (1237671768542610034,  258.22027386,  64.13345761,  24.20643997,  21.15518188,  20.20526505,  19.83242416,  19.32492065),
          (1237671768542610035,  258.21358701,  64.14903228,  25.46458435,  22.86228943,  22.10934639,  21.68086243,  22.61439705),
          (1237671768542610047,  258.22140595,  64.14314463,  23.53668404,  22.91880226,  22.18211365,  23.26287842,  22.39518356),
          (1237671768542610058,  258.23662394,  64.12302689,  23.22437668,  23.03713799,  22.46462631,  22.50834084,  21.75910378),
          (1237671768542610062,  258.2348664 ,  64.12754265,  23.36084557,  23.18941689,  23.04771233,  22.14469528,  21.34573936),
          (1237671768542610073,  258.24143357,  64.12248615,  23.51391602,  22.16535187,  21.59527779,  21.52843666,  20.95892525),
          (1237671768542610080,  258.24178043,  64.12932617,  24.56346893,  21.66597176,  20.99405289,  20.76257324,  20.84782982),
          (1237671768542610087,  258.24813085,  64.1292474 ,  25.75446892,  21.79920578,  20.88586807,  20.57614899,  20.49958992),
          (1237671768542610706,  258.21799323,  64.14462246,  24.78376007,  24.39602089,  22.31622505,  21.38323784,  20.93658638),
          (1237671768542610956,  258.20942762,  64.1487324 ,  23.75563431,  23.05678177,  22.38085175,  21.37226105,  20.82308578),
          (1237671939804561435,  258.03242979,  64.04295665,  21.73583603,  19.67429161,  18.75822449,  18.29198456,  18.02934265),
          (1237671939804561438,  258.02662532,  64.04723318,  25.28640175,  23.43137169,  22.41542625,  21.73162079,  21.67255592),
          (1237671939804561468,  258.09647271,  64.03252476,  19.744133  ,  17.56668472,  16.54529572,  16.11851692,  15.78845692),
          (1237671939804561470,  258.20836638,  64.05294822,  19.22208023,  17.00105476,  16.03318214,  15.59466076,  15.3422451 ),
          (1237671939804561474,  258.06749533,  64.03677188,  19.88775635,  17.80274582,  16.81037903,  16.36798668,  16.01530647),
          (1237671939804561478,  258.11767967,  64.03110216,  19.87116051,  17.84583855,  16.83450127,  16.38828087,  16.09958458),
          (1237671939804561482,  258.09913604,  64.03649105,  20.70589828,  18.48480606,  17.39517784,  17.07906151,  16.7140255 ),
          (1237671939804561483,  258.13363467,  64.03855603,  19.56118202,  17.64848328,  16.64313889,  16.21251106,  15.97258949),
          (1237671939804561487,  258.08053727,  64.03563341,  18.81614494,  16.63011742,  15.65813065,  15.25768757,  15.02383232),
          (1237671939804561508,  258.1138825 ,  64.0340046 ,  22.75168991,  20.49649048,  19.62799644,  19.20986176,  19.03253937),
          (1237671939804561517,  258.13652524,  64.03521324,  24.63615799,  22.236866  ,  24.80215454,  24.36183929,  19.488451  ),
          (1237671939804561519,  258.14356608,  64.03625051,  24.95419693,  22.51408577,  21.28122139,  20.90260124,  21.04582405),
          (1237671939804561642,  258.24026131,  64.0510324 ,  19.98868942,  18.03932762,  17.15538788,  16.76332283,  16.51384735),
          (1237671939804561644,  258.22639661,  64.05471055,  21.23444366,  19.33138657,  18.44383812,  18.06085014,  17.83713531),
          (1237671939804561650,  258.23655376,  64.05313965,  23.30560684,  21.02280998,  20.07052231,  19.48540688,  19.20401573),
          (1237671939804561651,  258.22044968,  64.05494858,  21.36989975,  20.39254951,  20.05414772,  19.74289703,  19.95960999),
          (1237671939804561654,  258.25080392,  64.05144462,  23.35486412,  22.33051872,  21.41311073,  21.12646103,  20.85163498),
          (1237671939804561658,  258.22149104,  64.0575148 ,  23.62345314,  23.08342934,  21.9396286 ,  21.61010742,  22.00140762),
          (1237671939804561661,  258.2425098 ,  64.05628834,  25.02410698,  22.71729279,  21.64671326,  21.66548347,  21.94478416),
          (1237671939804561663,  258.24523938,  64.04797544,  24.55163956,  25.17621231,  23.53265762,  22.37271118,  22.54333115),
          (1237671939804561670,  258.23916277,  64.04686249,  24.40623093,  24.4929142 ,  24.48398399,  22.6423912 ,  22.7863102 ),
          (1237671939804561671,  258.24968852,  64.05684783,  24.26166916,  23.93352509,  23.53118515,  23.25758171,  22.63389587),
          (1237671939804561675,  258.24503267,  64.05462428,  24.54115868,  23.7306118 ,  23.79613686,  23.37243271,  23.57088661),
          (1237671939804561816,  257.98012132,  64.07931111,  20.87755203,  18.90534401,  17.99061966,  17.58206177,  17.32432556),
          (1237671939804561817,  257.98349501,  64.07797745,  24.53529739,  23.92572594,  21.25238609,  20.4592247 ,  20.06241989),
          (1237671939804561818,  257.98301953,  64.07765586,  24.60791206,  23.52492142,  23.29682732,  23.41613579,  22.01128197),
          (1237671939804561830,  257.99187155,  64.089151  ,  18.87149811,  16.84597969,  15.92457294,  15.4808836 ,  15.13799477),
          (1237671939804561831,  257.98710314,  64.08474984,  20.39081192,  19.18194962,  18.84223366,  18.62952995,  18.69775009),
          (1237671939804561832,  257.99161053,  64.09273528,  22.7760334 ,  21.69987297,  21.08530426,  20.73452759,  20.70621109),
          (1237671939804561862,  258.02919858,  64.05549086,  19.43029594,  17.42869759,  16.49689674,  16.06832886,  15.74951363),
          (1237671939804561863,  258.02556579,  64.05389455,  21.65670967,  19.74719238,  18.90190506,  18.55310631,  18.27202225),
          (1237671939804561969,  258.1662092 ,  64.04163637,  23.0504837 ,  21.65714264,  21.04810333,  20.65047264,  22.29319   ),
          (1237671939804561980,  258.18791668,  64.03102218,  21.09697533,  19.19178963,  18.28752136,  17.89296722,  17.55082512),
          (1237671939804562125,  258.0095621 ,  64.07093948,  21.42308998,  20.34588432,  19.76958847,  19.35569382,  19.15078735),
          (1237671939804562144,  258.16642101,  64.02713031,  21.82846069,  20.81852531,  20.44344139,  20.18429756,  20.30078697),
          (1237671939804562316,  257.97559982,  64.08474696,  25.33569336,  24.9713974 ,  22.48717499,  21.92160606,  21.83407211),
          (1237671939804562326,  257.9914454 ,  64.07913861,  23.03145409,  21.50958252,  20.87809372,  20.5273037 ,  20.14280891),
          (1237671939804562327,  257.99971221,  64.05742459,  23.36045456,  21.95663834,  21.24231148,  21.19594383,  21.35610771),
          (1237671939804562338,  258.00691021,  64.05879473,  24.55281067,  22.20670319,  21.59611702,  21.67291641,  21.21541786),
          (1237671939804562341,  258.00931743,  64.06218524,  23.05234146,  22.03788376,  21.5968647 ,  21.37587929,  21.00787163),
          (1237671939804562346,  258.00795601,  64.07558311,  23.25466919,  22.04590607,  21.74226952,  21.27202606,  22.24723816),
          (1237671939804562350,  258.01700956,  64.06200051,  22.16538048,  20.82555199,  20.13589668,  19.78909302,  19.50923538),
          (1237671939804562355,  258.02533269,  64.05942923,  21.89666748,  21.41885376,  20.29424858,  19.91210938,  19.67994118),
          (1237671939804562362,  258.01738942,  64.08682369,  24.00441742,  21.46659088,  20.22317886,  19.78255653,  19.51325035),
          (1237671939804562370,  258.03939248,  64.0468789 ,  23.75436211,  22.71237373,  23.08489227,  22.14356995,  21.86687851),
          (1237671939804562372,  258.0340904 ,  64.0635527 ,  22.38439369,  20.84410667,  20.36820984,  20.20657539,  20.07607079),
          (1237671939804562376,  258.04154946,  64.04890187,  24.44787407,  22.30021858,  21.79963493,  21.52519798,  21.25713158),
          (1237671939804562388,  258.04772694,  64.05015656,  23.95376205,  22.27454567,  21.66090584,  21.56212997,  21.35043716),
          (1237671939804562394,  258.05556717,  64.04793553,  22.44273949,  20.37744904,  19.63256836,  19.26776886,  19.15614128),
          (1237671939804562410,  258.06365015,  64.05066733,  23.16413689,  22.34646606,  21.78714561,  21.48879242,  21.36209869),
          (1237671939804562511,  258.1476786 ,  64.04145146,  24.20768738,  22.58750916,  22.30735588,  22.19996834,  22.33186722),
          (1237671939804562546,  258.17572013,  64.03345855,  22.80138969,  22.33382225,  20.95567131,  20.58051872,  19.85239983),
          (1237671939804562561,  258.18340628,  64.04166773,  23.0383625 ,  22.13246727,  21.7261734 ,  21.27184486,  21.53647423),
          (1237671939804562564,  258.1838198 ,  64.04744278,  23.64368057,  22.81814384,  22.41506004,  21.84469032,  21.36882019),
          (1237671939804562586,  258.2013353 ,  64.03865702,  23.1584034 ,  21.19750214,  20.42675972,  20.25691795,  19.97642708),
          (1237671939804562606,  258.21442651,  64.05690915,  23.39320946,  21.78571892,  20.98735619,  20.39526558,  21.34313393),
          (1237671939804562609,  258.21568063,  64.06007957,  24.05028534,  21.48631096,  20.73889732,  20.33821487,  20.41507721),
          (1237671939804562610,  258.21380699,  64.05918602,  24.73161507,  22.55742073,  21.91057777,  21.66655731,  22.0702877 ),
          (1237671939804562655,  258.24095506,  64.07295953,  22.69335556,  21.21910095,  20.43249321,  20.08086967,  19.98954582),
          (1237671939804562661,  258.2421988 ,  64.08240317,  24.41851044,  23.19569206,  22.00659561,  21.48564339,  21.38233376),
          (1237671939804562664,  258.24203454,  64.09414031,  22.69216919,  22.60043907,  22.1343956 ,  22.03024483,  21.46818542),
          (1237671939804562783,  258.03018834,  64.05039069,  23.66048241,  24.20129395,  22.85194206,  21.57301903,  21.4042244 ),
          (1237671939804562849,  258.15302691,  64.0323167 ,  25.83608437,  22.9399929 ,  22.15740204,  21.66132545,  21.82745552),
          (1237671939804562856,  258.15942184,  64.04182538,  25.54500008,  23.04241943,  22.21716309,  21.76523399,  22.1737175 ),
          (1237671939804562866,  258.1895591 ,  64.03436815,  23.7945652 ,  22.894804  ,  21.867733  ,  21.72032356,  21.38219643),
          (1237671939804562883,  258.21714466,  64.04157168,  24.87794685,  23.05908012,  22.11466217,  21.98735428,  21.82662964),
          (1237671939804562952,  257.99134744,  64.06592706,  23.89457512,  24.20086861,  22.7286396 ,  21.63064957,  21.02705193),
          (1237671939804563016,  258.04512407,  64.05406723,  23.0558567 ,  22.95584869,  22.33798409,  21.84965515,  22.17118454),
          (1237671939804563023,  258.01121671,  64.09023749,  24.26272774,  23.81415558,  23.0050354 ,  21.69406128,  21.55780792),
          (1237671939804627252,  258.26497607,  64.06934696,  25.03502274,  23.14804459,  21.97554588,  21.31232071,  20.76914978),
          (1237671939804627262,  258.27281293,  64.09122343,  19.88471031,  17.66265488,  16.7001915 ,  16.24949455,  15.89843082),
          (1237671939804627265,  258.26572245,  64.11711801,  18.49715805,  16.48520279,  15.53439808,  15.09496403,  14.75453091),
          (1237671939804627592,  258.25274137,  64.0809047 ,  21.88819122,  19.89637756,  19.00334358,  18.61003494,  18.34856606),
          (1237671939804627701,  258.24442917,  64.11578891,  21.01374054,  20.05087471,  19.27479172,  18.87369728,  18.67087173),
          (1237671939804627788,  258.24303317,  64.10921041,  23.44953346,  21.14979935,  20.39530754,  20.11003494,  19.94358063),
          (1237671939804627792,  258.25852878,  64.07514189,  23.52021217,  20.89553642,  20.02662659,  19.69073677,  19.38095284),
          (1237671939804627793,  258.24817538,  64.10213942,  22.62584686,  22.06994438,  21.42442894,  20.96935081,  20.56047821),
          (1237671939804627805,  258.24888471,  64.11191039,  23.37734604,  22.35825157,  21.5951767 ,  21.46107292,  21.53216553),
          (1237671939804627819,  258.26986612,  64.0750237 ,  26.00951767,  22.88398933,  21.26630402,  20.25292587,  19.88902283),
          (1237671939804627823,  258.27255865,  64.07769222,  23.02602005,  21.86781693,  21.22323036,  20.94543457,  20.77195168),
          (1237671939804627824,  258.26721256,  64.09614796,  25.11739731,  22.57810783,  21.50543976,  21.19700813,  21.20055199),
          (1237671939804627829,  258.27714261,  64.08859283,  22.99619865,  22.21224022,  21.96469879,  21.60129738,  21.58882332),
          (1237671939804627830,  258.27211311,  64.10115237,  24.16820717,  22.78657532,  23.23404503,  23.33774567,  22.30501366),
          (1237671939804627831,  258.27075903,  64.10604607,  23.47981834,  22.07282639,  21.03518486,  20.43724632,  20.22656059),
          (1237671939804627834,  258.28080878,  64.08362358,  23.27563858,  22.0359726 ,  20.06741142,  19.27634621,  18.82468414),
          (1237671939804627836,  258.28126253,  64.08561328,  24.46941185,  22.85527992,  22.02123451,  21.31868172,  22.26726723),
          (1237671939804628282,  258.25680587,  64.08310911,  24.92598152,  23.36385155,  22.44145584,  21.73114395,  21.97660255),
          (1237671939804628288,  258.2653122 ,  64.09300078,  22.38004684,  23.24858856,  22.3290062 ,  21.61798286,  21.10209656),
          (1237671939804628431,  258.27416527,  64.08696354,  25.42699623,  23.63301086,  22.35162926,  20.73894119,  19.82094383),
          (1237671768542544025,  258.08818556,  64.16539131,  23.18945122,  21.2641449 ,  20.66532516,  20.34947586,  20.07318306),
          (1237671768542544069,  258.17303138,  64.15918805,  23.04421425,  22.39989471,  22.34590721,  21.48230553,  21.89722633),
          (1237671768542544070,  258.16957489,  64.15924822,  23.76173782,  23.01762962,  22.33541679,  22.00954628,  21.89733505),
          (1237671768542544071,  258.17579947,  64.15716455,  24.24700928,  24.36638641,  22.76806259,  23.07681656,  22.1102047 ),
          (1237671768542544216,  257.98054097,  64.14175813,  19.8956852 ,  18.37228584,  17.50812912,  17.08723259,  16.76655197),
          (1237671768542544237,  258.02001137,  64.14522574,  19.5755825 ,  17.76171875,  16.87981796,  16.4637394 ,  16.15412903),
          (1237671768542544327,  258.08284525,  64.15825789,  24.93625641,  22.96425819,  22.51278877,  21.823452  ,  21.70166588),
          (1237671768542544459,  258.04073724,  64.15127545,  22.45882225,  20.04536057,  19.26616096,  18.89169121,  18.68049622),
          (1237671768542544789,  257.97582571,  64.11452526,  22.53598022,  20.58018494,  19.72826385,  19.41843796,  19.01685333),
          (1237671768542544799,  257.98094465,  64.12194341,  21.2358284 ,  20.08211708,  19.68061638,  19.39095116,  18.95582199),
          (1237671768542544811,  257.9850698 ,  64.13385075,  22.27744484,  20.14333344,  19.27604485,  18.89756966,  18.70591164),
          (1237671768542544836,  257.9981834 ,  64.13972491,  21.39490318,  19.88467979,  19.21357536,  18.91006088,  18.62848854),
          (1237671768542544837,  257.99500374,  64.14061226,  22.28096771,  20.66361618,  19.89541435,  19.45448494,  19.57188225),
          (1237671768542544838,  257.99631542,  64.14170228,  24.22128105,  22.98862076,  22.09704208,  22.03154564,  21.86081123),
          (1237671768542544865,  258.00989922,  64.13932004,  23.64473534,  23.74475861,  22.59818649,  21.88565826,  22.14414978),
          (1237671768542544875,  258.01699989,  64.1419885 ,  23.72920227,  22.80110359,  22.62047386,  22.7700367 ,  22.22405052),
          (1237671768542544904,  258.03013028,  64.14928891,  23.62628365,  22.41540337,  21.80063438,  21.34086609,  21.71141243),
          (1237671768542544927,  258.03734759,  64.16207643,  25.46368217,  22.13548851,  21.54532623,  21.2131691 ,  22.19176483),
          (1237671768542544928,  258.03843161,  64.16051761,  23.3304081 ,  22.39224052,  21.8697834 ,  21.57208443,  23.34169388),
          (1237671768542545056,  258.10979576,  64.16941395,  24.48078728,  21.36825752,  20.6141758 ,  20.1957531 ,  19.97112274),
          (1237671768542545090,  258.11771889,  64.16685064,  22.49203873,  22.24131775,  21.46206093,  21.51643944,  21.40847015),
          (1237671768542545095,  258.11811294,  64.1704989 ,  21.51151848,  20.63384056,  20.04845619,  19.8242588 ,  19.51239395),
          (1237671768542545096,  258.12178981,  64.17054548,  22.69372177,  22.76443291,  22.21947098,  21.80895424,  23.02602959),
          (1237671768542545098,  258.11863012,  64.17279784,  24.48583412,  23.8096962 ,  23.42483711,  22.55438805,  21.43232918),
          (1237671768542545104,  258.12861412,  64.16350844,  21.8835392 ,  20.13627815,  19.66007042,  19.10480309,  19.00052071),
          (1237671768542545105,  258.12582452,  64.17302634,  22.90231895,  22.1105423 ,  21.82170105,  22.9544735 ,  22.88957787),
          (1237671768542545179,  258.17896145,  64.16656929,  26.25246429,  22.00607109,  21.22992325,  20.74094391,  20.25340843),
          (1237671768542545180,  258.17444167,  64.16721571,  22.1482563 ,  21.3769722 ,  20.90312576,  20.81660843,  20.61459923),
          (1237671768542545182,  258.17360836,  64.17266035,  25.93610573,  24.0704174 ,  22.67706108,  21.35953712,  20.62536049),
          (1237671768542545217,  258.20226766,  64.15479929,  22.57826614,  20.53702927,  19.80362511,  19.41240883,  19.07182503),
          (1237671768542545338,  257.99130252,  64.13604068,  24.9640789 ,  23.71963882,  22.37919617,  21.40014076,  21.22471428),
          (1237671768542545339,  257.99185108,  64.14463583,  25.91116524,  23.21649933,  22.50996399,  22.13510704,  20.88489342),
          (1237671768542545373,  258.0391496 ,  64.15656639,  22.84728432,  22.51397705,  20.91080093,  20.54083443,  20.04253006),
          (1237671768542545466,  258.18940115,  64.16671671,  25.06583023,  24.47320175,  22.91117859,  22.52904129,  21.82717705),
          (1237671768542545467,  258.19406451,  64.15913447,  24.87384796,  23.85440636,  22.4179287 ,  21.56833267,  21.48204613),
          (1237671768542545472,  258.19779844,  64.16797106,  23.3877697 ,  23.36532021,  22.08271408,  21.84418869,  22.87587738),
          (1237671768542545539,  257.9903035 ,  64.12890027,  26.02429962,  23.49193001,  23.03138351,  22.1815052 ,  22.24661255),
          (1237671768542545540,  257.98868863,  64.14717938,  23.27288246,  23.41510582,  23.06201553,  21.82741928,  21.40410995),
          (1237671768542609422,  258.24682906,  64.13998604,  22.83972359,  16.4465065 ,  16.39974785,  15.64608002,  24.46862984),
          (1237671768542609423,  258.25620948,  64.14266757,  23.63432503,  16.33894348,  16.04888916,  15.47192097,  22.21478653),
          (1237671768542609433,  258.24193549,  64.14804311,  26.87470245,  22.43722916,  26.42338753,  23.47766113,  22.3082943 ),
          (1237671768542609434,  258.24853098,  64.14786272,  23.34724236,  25.51813126,  25.26875305,  22.49012947,  22.09425545),
          (1237671768542609853,  258.27671858,  64.12828938,  22.25953293,  19.70044518,  18.9353714 ,  18.57359123,  18.35509872),
          (1237671768542609854,  258.27286886,  64.12862475,  22.75984192,  21.16994858,  20.3276062 ,  20.08796501,  19.9572773 ),
          (1237671768542609855,  258.27829307,  64.12705148,  22.09945107,  21.50621986,  20.41417694,  20.1301403 ,  20.09672165),
          (1237671768542609947,  258.22669574,  64.16327006,  23.4515686 ,  25.03512955,  22.32860374,  21.20914268,  20.61109543),
          (1237671768542610039,  258.20921667,  64.16654046,  21.89858055,  20.58686638,  19.70536041,  19.36979675,  19.26939201),
          (1237671768542610111,  258.27096894,  64.12513494,  26.34425926,  22.90724754,  23.79074669,  24.00293922,  21.4696064 ),
          (1237671768542610734,  258.26998884,  64.13433648,  22.93082237,  23.55435371,  21.91782761,  21.69462013,  23.14351654),
          (1237671939804561426,  257.9828822 ,  64.05042919,  24.21236229,  23.82090759,  20.79734993,  19.87278366,  19.47982979),
          (1237671939804561427,  257.98006985,  64.05191607,  23.79184532,  23.70037651,  22.65647316,  21.45080757,  21.31970787),
          (1237671939804561428,  257.99047769,  64.05201435,  24.07681465,  22.63778305,  21.91124153,  21.64837837,  21.40989113),
          (1237671939804561434,  258.02778046,  64.04038842,  19.85105324,  17.79623985,  16.66029549,  16.17376518,  15.86091614),
          (1237671939804561436,  258.02529536,  64.03791516,  21.81648254,  19.91456795,  18.86097908,  18.37325287,  18.05092812),
          (1237671939804561437,  258.0176814 ,  64.04524546,  23.25918961,  24.18695831,  22.44454384,  21.34495735,  21.87461853),
          (1237671939804561477,  258.10598183,  64.022114  ,  19.61754799,  17.57909393,  16.65881729,  16.2659359 ,  15.99179554),
          (1237671939804561498,  258.08402464,  64.02361785,  21.47765541,  19.22639275,  18.09165573,  17.6964035 ,  17.45886421),
          (1237671939804561506,  258.05537516,  64.03274781,  21.69705772,  19.26782417,  18.27747154,  17.9027462 ,  17.74849129),
          (1237671939804561514,  258.05438697,  64.03186085,  23.54102135,  20.36147308,  19.45232582,  19.24429893,  18.93801308),
          (1237671939804561567,  258.18105477,  64.01884696,  21.35548782,  19.60691071,  18.69406128,  18.27548981,  18.21478844),
          (1237671939804561568,  258.17574575,  64.01647101,  22.25101089,  25.11437798,  24.80202484,  24.36179733,  19.07476616),
          (1237671939804561640,  258.25845787,  64.0522971 ,  17.98510551,  15.83023739,  14.83095169,  14.39797497,  14.09079933),
          (1237671939804561648,  258.25349055,  64.04734101,  20.97005844,  18.68524933,  18.35564041,  17.79719734,  17.56160736),
          (1237671939804561652,  258.25816007,  64.04153902,  24.98099709,  23.0797596 ,  21.20690536,  20.30047226,  20.00924683),
          (1237671939804561653,  258.24691005,  64.04395798,  23.41539192,  21.82556725,  20.62698555,  20.24601173,  20.43673706),
          (1237671939804561672,  258.25331751,  64.04447721,  25.36066055,  25.04104614,  23.14255524,  24.34967613,  23.67180443),
          (1237671939804561763,  257.9512291 ,  64.07522609,  20.18805885,  18.2123642 ,  17.28659821,  16.87273979,  16.55938721),
          (1237671939804561767,  257.96048961,  64.06504678,  25.4078598 ,  23.80441093,  22.84719658,  21.99453354,  21.66218376),
          (1237671939804561799,  257.97941853,  64.04483123,  23.86956596,  21.97280312,  21.31262207,  21.00667381,  21.10357666),
          (1237671939804561812,  257.99047954,  64.05571962,  19.58340073,  17.60506821,  16.65730667,  16.22211266,  15.88439655),
          (1237671939804561826,  258.0040947 ,  64.03786061,  19.46457863,  17.47298241,  16.59492302,  16.19074059,  15.9066143 ),
          (1237671939804561827,  258.01054255,  64.03483248,  23.9343586 ,  21.74100494,  21.20392227,  20.95166969,  21.23218727),
          (1237671939804561934,  258.12694643,  64.01659921,  19.72194672,  17.61120796,  16.67022324,  16.24324226,  15.90662003),
          (1237671939804561997,  258.23084717,  64.02925421,  20.37670326,  18.22533607,  17.3110714 ,  16.87687492,  16.56919098),
          (1237671939804561998,  258.23900982,  64.02967688,  21.31225014,  19.38528252,  18.44450188,  18.0377388 ,  17.75412369),
          (1237671939804561999,  258.23095098,  64.03240904,  19.74761009,  18.29159355,  17.63881111,  17.27000046,  17.15743065),
          (1237671939804562001,  258.22460084,  64.02814183,  24.01049423,  23.49931717,  21.79100037,  21.30260658,  21.24001503),
          (1237671939804562002,  258.24529114,  64.03114678,  24.20970345,  23.14200401,  22.17825508,  21.25017357,  20.5816288 ),
          (1237671939804562077,  258.09221281,  64.01364234,  21.43802452,  19.98661232,  19.13112068,  18.72439957,  18.4438343 ),
          (1237671939804562078,  258.09971586,  64.01525531,  21.90187836,  19.85198212,  19.0271225 ,  18.64754486,  18.38269997),
          (1237671939804562093,  258.19927237,  64.02319352,  22.7669239 ,  22.37018013,  21.22662926,  20.83485413,  20.54080582),
          (1237671939804562129,  258.11232229,  64.01636486,  21.26118279,  20.13195992,  19.24244308,  18.92110443,  18.77787399),
          (1237671939804562130,  258.11149505,  64.01400281,  21.24661064,  19.55190277,  19.15865898,  18.91629028,  18.96048546),
          (1237671939804562148,  258.17613207,  64.02471661,  21.27813148,  20.40886307,  19.82225609,  19.45529747,  19.36284828),
          (1237671939804562274,  257.9427053 ,  64.0983075 ,  22.17039871,  21.3868103 ,  20.71427727,  20.3915863 ,  20.20567513),
          (1237671939804562278,  257.94854123,  64.08888127,  24.40982246,  22.74786568,  22.65820122,  22.21703339,  22.65399551),
          (1237671939804562284,  257.96374508,  64.06192449,  23.19567299,  21.97392845,  21.53337097,  21.13819885,  21.20420647),
          (1237671939804562285,  257.96104926,  64.06825114,  22.90240288,  22.94730759,  22.53044701,  22.20288086,  21.24742317),
          (1237671939804562286,  257.96689689,  64.06000604,  25.86938095,  22.11707878,  21.48297119,  21.15516663,  20.74002838),
          (1237671939804562287,  257.95366225,  64.09452599,  22.14754677,  21.29660416,  21.30629921,  20.86719131,  20.74990082),
          (1237671939804562292,  257.96210538,  64.08103336,  23.06771278,  20.73040771,  19.89489174,  19.42880058,  19.31931114),
          (1237671939804562294,  257.9585263 ,  64.09324149,  24.73181343,  22.17860413,  21.43058968,  21.09485054,  20.9425602 ),
          (1237671939804562296,  257.96828382,  64.07267721,  22.33015823,  21.60565567,  20.88654709,  20.7020607 ,  21.08976173),
          (1237671939804562297,  257.96644366,  64.07418392,  23.58291435,  22.85094452,  22.05402946,  21.77525902,  21.73728943),
          (1237671939804562298,  257.97008565,  64.07178946,  24.71303368,  23.85540962,  24.77150917,  22.36553383,  21.73130417),
          (1237671939804562299,  257.96943979,  64.07444269,  23.57806015,  25.47425652,  25.22936058,  24.58683395,  20.55235672),
          (1237671939804562301,  257.95888387,  64.10107177,  22.62475204,  22.24431038,  22.08126831,  21.35545921,  20.65861893),
          (1237671939804562302,  257.96516998,  64.08646526,  24.68333626,  22.94215202,  22.10258484,  21.28656578,  22.32473564),
          (1237671939804562307,  257.97909737,  64.05764415,  22.12053108,  20.62318993,  19.33189774,  18.67647552,  18.24969292),
          (1237671939804562312,  257.96685076,  64.09863167,  27.07507324,  21.11572266,  20.30999756,  19.84417152,  19.69878197),
          (1237671939804562315,  257.97581569,  64.08321375,  22.75016594,  21.73580933,  20.71779823,  20.47548103,  20.05622482),
          (1237671939804562317,  257.97147166,  64.09698532,  26.26518631,  21.4624176 ,  20.58790207,  20.22912598,  19.85089302),
          (1237671939804562339,  258.02066979,  64.02478815,  22.58451843,  22.81032753,  22.44864655,  21.74887848,  21.52657509),
          (1237671939804562354,  258.03307834,  64.03522075,  21.85923386,  19.77765656,  19.04128265,  18.65608978,  18.35894775),
          (1237671939804562359,  258.04451398,  64.02381014,  24.21522141,  24.81918335,  23.99230766,  21.15521049,  20.72694778),
          (1237671939804562360,  258.0450117 ,  64.02279574,  24.04300499,  21.60898399,  21.1764698 ,  20.86608505,  22.18650246),
          (1237671939804562361,  258.04029639,  64.02371879,  23.59157753,  22.79665947,  22.15449524,  22.00269127,  22.59520912),
          (1237671939804562461,  258.12133808,  64.01951101,  24.414711  ,  22.77525902,  22.37042046,  21.98519325,  22.21936989),
          (1237671939804562462,  258.12454359,  64.01364985,  24.31352997,  21.79779053,  21.90203285,  21.6669178 ,  23.35337067),
          (1237671939804562464,  258.12057525,  64.02468914,  23.2383213 ,  22.62496567,  21.48081017,  21.05921745,  21.21314621),
          (1237671939804562481,  258.13474251,  64.01275241,  21.73392868,  21.90322685,  21.48855019,  21.50193787,  21.64353561),
          (1237671939804562483,  258.13356304,  64.02147795,  24.91702461,  22.51820755,  21.71226311,  21.68708038,  21.44409752),
          (1237671939804562484,  258.13909061,  64.01626173,  22.8979187 ,  21.92709541,  20.59720421,  20.16033363,  19.86396599),
          (1237671939804562486,  258.13838711,  64.02026679,  22.76306152,  21.88007164,  21.11571503,  20.79959297,  20.51330376),
          (1237671939804562491,  258.14210353,  64.02316918,  25.44123077,  22.45386887,  20.65437698,  20.08362579,  19.62874794),
          (1237671939804562502,  258.14901258,  64.0234854 ,  23.53262329,  20.92157745,  20.07410812,  19.70825005,  19.54542542),
          (1237671939804562503,  258.14915221,  64.02118386,  25.79946136,  21.2158699 ,  20.5250988 ,  20.2604351 ,  20.00577354),
          (1237671939804562508,  258.15345784,  64.01574013,  22.64133263,  22.0067997 ,  21.49432564,  21.27300835,  21.57925797),
          (1237671939804562555,  258.19118473,  64.01678677,  24.01780891,  21.68772125,  21.07060432,  20.73953247,  20.59382439),
          (1237671939804562556,  258.18809471,  64.02513648,  22.68569374,  21.33172989,  20.16007805,  19.71369171,  19.29244614),
          (1237671939804562562,  258.19237005,  64.02218658,  24.65134048,  22.30169487,  22.13303566,  21.86727524,  21.42774391),
          (1237671939804562579,  258.19904113,  64.02852849,  23.88174248,  22.6379261 ,  21.66184044,  21.7793045 ,  21.34052467),
          (1237671939804562580,  258.20580508,  64.01919988,  22.10792542,  21.59493828,  20.72810936,  20.4781723 ,  19.89584541),
          (1237671939804562600,  258.22145014,  64.03529592,  23.53090286,  21.92869186,  21.25276184,  20.90942383,  20.93993187),
          (1237671939804562747,  257.97797216,  64.04812207,  23.65537071,  23.09333992,  22.07360077,  21.31656265,  20.84832382),
          (1237671939804562749,  257.98023747,  64.06314395,  24.48851204,  23.07042503,  22.11619377,  22.07095337,  21.38885307),
          (1237671939804562771,  258.0234945 ,  64.03108411,  23.54796028,  22.92545509,  22.06354332,  22.37980461,  22.1204319 ),
          (1237671939804562780,  258.03512492,  64.02556683,  23.19457626,  22.29690552,  21.43508339,  21.04298973,  21.50301743),
          (1237671939804562784,  258.04310536,  64.01892519,  24.57517052,  23.6410141 ,  22.57588577,  21.6667099 ,  21.51426315),
          (1237671939804562796,  258.05339362,  64.02251285,  26.04376984,  23.18042946,  22.19343948,  22.40048409,  22.11641312),
          (1237671939804562882,  258.22057652,  64.02606608,  25.37189865,  22.84808731,  21.75116539,  21.63596535,  21.08757973),
          (1237671939804562920,  258.26625112,  64.04009351,  26.17605972,  22.79739189,  21.56688118,  21.08486748,  21.74841881),
          (1237671939804562948,  257.96623914,  64.07592789,  24.87245369,  24.83779526,  22.81204796,  21.32966232,  20.7109375 ),
          (1237671939804562980,  258.18189171,  64.02242169,  23.47192001,  23.99990845,  22.74620056,  21.73747826,  20.85504723),
          (1237671939804563004,  258.01929995,  64.02830193,  24.40295219,  24.5784874 ,  24.59832191,  24.57468605,  20.84984589),
          (1237671939804563005,  258.05638302,  64.02582379,  25.26587677,  26.20418739,  25.27065659,  23.7289772 ,  20.5467205 ),
          (1237671939804563017,  258.06830965,  64.01476405,  25.15352821,  23.6216526 ,  22.52223015,  22.24103546,  21.26564407),
          (1237671939804626964,  258.262789  ,  64.05554869,  20.09024048,  18.09169769,  17.1132946 ,  16.67266273,  16.35950089),
          (1237671939804626965,  258.28992869,  64.05339468,  21.11673546,  18.95762825,  18.00836945,  17.56435966,  17.26834106),
          (1237671939804626968,  258.28025213,  64.06186446,  21.95919037,  19.37752533,  18.44705582,  18.04372025,  17.75325012),
          (1237671939804626987,  258.29756515,  64.05779417,  23.53619194,  21.84710312,  21.18927002,  20.78209114,  21.40331459),
          (1237671939804626992,  258.29408884,  64.05538863,  24.04953194,  22.30708313,  21.58717918,  21.26746368,  20.98912621),
          (1237671939804626998,  258.28560036,  64.06006348,  23.11492538,  21.47694778,  21.18050575,  21.03483391,  21.45657539),
          (1237671939804627008,  258.29042184,  64.05037673,  24.71926117,  22.88486099,  22.26546288,  21.85769081,  22.72077751),
          (1237671939804627013,  258.27655273,  64.04961269,  25.28302956,  23.12544823,  22.22890091,  21.89637566,  21.81867218),
          (1237671939804627016,  258.27605499,  64.05541036,  25.3073349 ,  23.5473938 ,  23.70824432,  22.24791527,  22.36079788),
          (1237671939804627017,  258.28003586,  64.06389528,  25.10643959,  23.08688736,  22.32254982,  22.9361763 ,  21.8909626 ),
          (1237671939804627287,  258.28864223,  64.09875271,  21.58704376,  19.41489983,  18.5975132 ,  18.18555832,  17.94020081),
          (1237671939804627288,  258.28799859,  64.10069729,  24.08568573,  22.41106415,  21.8065815 ,  21.38637733,  21.91992378),
          (1237671939804627308,  258.31341861,  64.07329146,  18.38933372,  16.30844498,  15.37369728,  14.94565201,  14.6135397 ),
          (1237671939804627319,  258.30649342,  64.07833583,  23.0593338 ,  22.27752495,  21.29251862,  20.85995483,  20.73642731),
          (1237671939804627321,  258.30185684,  64.07171747,  24.8062439 ,  23.84884453,  22.90122032,  21.78152466,  22.43462944),
          (1237671939804627339,  258.30913341,  64.0792901 ,  24.95072365,  24.98579597,  24.39806938,  22.45247841,  22.05613899),
          (1237671939804627346,  258.30974657,  64.06775955,  24.30581093,  24.83490753,  24.41493416,  23.1756897 ,  22.90184593),
          (1237671939804627607,  258.29165279,  64.06773148,  21.16804504,  19.19336319,  18.31440353,  17.94211578,  17.62542152),
          (1237671939804627710,  258.30052702,  64.09755243,  21.38942719,  20.99728775,  20.43955612,  20.30371284,  19.9043541 ),
          (1237671939804627820,  258.27441719,  64.06582169,  24.78170967,  22.8115139 ,  22.12686157,  21.58944893,  22.36670685),
          (1237671939804627822,  258.2850352 ,  64.0453291 ,  22.08380699,  20.79255104,  20.4660511 ,  20.25104332,  20.25213432),
          (1237671939804627832,  258.28522761,  64.06946158,  22.99974632,  23.00875282,  21.33355713,  20.6544857 ,  20.19937134),
          (1237671939804627835,  258.28270846,  64.08333236,  24.32674026,  22.40180016,  20.69128227,  19.57537842,  19.11599541),
          (1237671939804627842,  258.28956118,  64.07357496,  23.98061371,  22.88304138,  21.84666634,  21.50810242,  21.23548317),
          (1237671939804627845,  258.29689736,  64.06928311,  23.31211662,  22.17630768,  22.25373077,  21.44020844,  22.83553314),
          (1237671939804627847,  258.29687129,  64.07392859,  23.06348991,  21.08956718,  20.25301743,  19.93981934,  20.20620728),
          (1237671939804627849,  258.29206331,  64.09381989,  23.00975037,  21.02705765,  20.24624443,  19.85865402,  20.27890587),
          (1237671939804627850,  258.29974865,  64.07698854,  22.46542549,  22.04896927,  21.11104584,  20.67699242,  20.91372871),
          (1237671939804627855,  258.28707567,  64.12441038,  22.58154488,  22.24812698,  21.51115608,  21.92946053,  21.72488976),
          (1237671939804627857,  258.30506089,  64.08682923,  21.3560791 ,  20.66499519,  20.10617256,  19.92417908,  19.86761284),
          (1237671939804627859,  258.30557898,  64.08448537,  21.72169495,  19.73465919,  19.12069321,  18.66083145,  20.11822701),
          (1237671939804627869,  258.30455939,  64.11197851,  24.15187263,  22.15287018,  21.41297722,  21.15461349,  21.1529007 ),
          (1237671939804627870,  258.30977987,  64.10388648,  22.49309158,  22.2761097 ,  21.62483597,  21.53982544,  20.7646389 ),
          (1237671939804628298,  258.27752549,  64.11312528,  23.17149544,  23.0559845 ,  22.19231033,  21.69439697,  21.31211472),
          (1237671939804628300,  258.28043483,  64.11129041,  25.73474121,  23.2447567 ,  21.9056797 ,  20.99068832,  20.53002357),
          (1237671939804628310,  258.30577679,  64.12065228,  22.68350029,  23.06826591,  22.12821388,  21.95307159,  21.5119381 ),
          (1237671939804628524,  258.31610892,  64.09334251,  22.67003441,  22.67872047,  22.32203102,  22.14948654,  21.30327797),
          (1237671939804628537,  258.27108726,  64.04551458,  25.49974632,  23.87784576,  22.44372559,  21.36487579,  20.40616989),
          (1237671939804628538,  258.29778574,  64.06200459,  26.91152573,  20.22763443,  19.48928833,  18.33369446,  26.46649551),
          (1237671939804628539,  258.29514439,  64.08448184,  22.4338665 ,  23.04799271,  22.59773254,  21.84278297,  22.35540009)],
         dtype=(numpy.record, [('objid', '>i8'), ('ra', '>f8'), ('dec', '>f8'), ('u', '>f4'), ('g', '>f4'), ('r', '>f4'), ('i', '>f4'), ('z', '>f4')]))

In [6]:
#get data
u=datas.field(3)
g=datas.field(4)
r=datas.field(5)

In [7]:
u_g=u-g
g_r=g-r

In [10]:
fig, ax = plt.subplots()
plt.figure(1)
fig.set_size_inches(20, 15)
#legend = ax.legend(loc='upper right', shadow=True, fontsize='x-large')
#legend.get_frame().set_facecolor('#00FFCC')
plt.xlabel('u-g[mag]',fontsize=20)
plt.ylabel('g-r[mag]',fontsize=20)
plt.xticks(fontsize=20)
plt.yticks(fontsize=20)
plt.plot(u_g,g_r,'bo',10)
#plt.axis([1,2.5,0,2])
plt.show()


Description:

Question 4

Where on the color-color diagram are the bluer galaxies? Where on the diagram are the redder galaxies?

Answer:

The bluer galaxies on the color-color diagram are those in the region {u-g small than zero}; The redder galaxies are thoes in the region {u-g>0}

Question 5

Look at your graph along with the graph you made in Exercise 4. Which part of the graph corresponds to the early (elliptical) galaxies? Which part corresponds to the late (spiral) galaxies?Note: Irregular galaxies are difficult to classify by colors and may be scattered on your diagram. But only 3% of observed galaxies are irregular, so this should not be a problem.

Answer:

Elliptical Galaxies
Elliptical galaxies, generally have very little gas and dust. Because gas and dust are found in the clouds that are the birthplaces of stars, we should expect to see very few young stars in elliptical galaxies. In fact, elliptical galaxies contain primarily old, red stars. 
So those redder galaxies on the color-color map are Elliptical Galaxies.

Sprial Galaxies

Spiral galaxies usually have two distinct regions. 
The disk of the galaxy contains the spiral arms. The disk is a region of star formation and has a great deal of gas and dust,has large SFR. It is dominated by young, blue stars,thes stars may be O,B stars,so they are very bright and blue!
The central bulge is devoid of gas and dust, the bulge is composed primarily of Population II stars.
So those bluer galaxies on the color-color map are Spiral Galaxies.

In [ ]: