# ConvexPolyabolos_1to750.csv # Douglas J. Durian 23Jan2020 # # size = n = area in units of area of base right-isosceles triangle # sides = number of sides = number of vertices # Savg = = average side length in units of equal-edge length of base triangle # Sdev = standard deviation of side lengths # Scor = ^1/5 where S(j)>0 is length of j-th side # Ravg = average distance of vertices to their average position # Rdev = associated standard deviation # # A,B,C,D,E,F,G,H = nonnegative integers specifying the sides by # vectors (A,0) (B,B) (0,C) (-D,D) (-E,0) (-F,-F) (0,-G) (H,-H) # that sum to zero. # # Results obtained by nested loops over A,B,C..F with carefully-chosen ranges. # Separate programs were used to sort all and then eliminate duplicates. # The maximum size is currently limited to ~750 by the sorting step. # # Mined for number of distinct convex polyabolos of size n, # & number of distinct i-sided convex polyabolos of size n. # Confirmed against A245676 by FoxEpstein (size n=1..50), # and against the extension of A292146 by Howroyd (size n=1..750). # size,sides,Savg,Sdev,Scor,Ravg,Rdev,A,B,C,D,E,F,G,H 1,3,1.13807119,0.195262146,1.13030285,0.654038835,0.129141962,1,0,0,1,0,0,1,0 2,3,1.60947571,0.276142375,1.59848961,0.924950591,0.182634314,0,1,0,1,0,0,2,0 2,4,1,0,1,0.707106781,0,1,0,1,0,1,0,1,0 2,4,1.20710678,0.207106781,1.24769295,0.809016994,0.309016994,1,0,0,1,1,0,0,1 3,4,1.35355339,0.40974775,1.31911084,0.927020958,0.279521274,1,0,1,1,0,0,2,0 3,4,1.56066017,0.751225551,1.64833129,1.12415369,0.333584279,1,0,0,2,0,0,1,1 4,3,2.27614237,0.390524292,2.26060569,1.30807767,0.258283924,2,0,0,2,0,0,2,0 4,4,1.41421356,0,1.41421356,1,0,0,1,0,1,0,1,0,1 4,4,1.5,0.5,1.6478989,1.11803399,0,2,0,1,0,2,0,1,0 4,4,1.70710678,0.292893219,1.76450429,1.14412281,0.437016024,2,0,0,1,2,0,0,1 4,4,1.70710678,0.765366865,1.60210624,1.14412281,0.437016024,3,0,0,1,1,1,0,0 4,4,1.91421356,0.914213562,2.20991757,1.46040481,0.342370824,1,0,0,2,1,0,0,2 5,4,1.85355339,0.751225551,2.01292326,1.35349942,0.324868143,3,0,0,1,2,0,1,0 5,4,2.26776695,1.36280338,2.62802065,1.80415965,0.346421672,1,0,0,3,0,0,1,2 5,5,1.24852814,0.202922374,1.25828715,1.04274362,0.180791974,1,0,1,1,0,1,0,1 6,4,1.91421356,0.579470826,1.86550444,1.31100561,0.395302776,0,1,0,2,0,0,2,1 6,4,2,1,2.32386868,1.58113883,0,3,0,1,0,3,0,1,0 6,4,2.20710678,0.792893219,2.44842424,1.5897934,0.471759412,3,0,0,1,3,0,0,1 6,4,2.20710678,1.06239336,2.33109247,1.5897934,0.471759412,4,0,0,1,2,1,0,0 6,4,2.62132034,1.62132034,3.12618564,2.15138782,0.348612181,1,0,0,3,1,0,0,3 6,5,1.36568542,0.367291873,1.40947437,1.1601715,0.118330429,1,1,0,1,1,0,2,0 6,6,1.13807119,0.195262146,1.13030285,1.13807119,0.195262146,1,0,1,1,1,0,1,1 7,4,2.06066017,0.868147255,1.92530877,1.41669434,0.424826034,1,1,0,2,0,0,3,0 7,4,2.35355339,1.20862998,2.70068338,1.82280807,0.338925888,4,0,0,1,3,0,1,0 7,4,2.97487373,2.03718587,3.5362017,2.50050994,0.349928623,1,0,0,4,0,0,1,3 7,5,1.48284271,0.448528137,1.48243708,1.24852814,0.202922374,2,0,1,1,1,0,2,0 7,5,1.64852814,0.694517804,1.67813737,1.33005631,0.480572802,1,0,1,2,0,0,2,1 8,3,3.21895142,0.55228475,3.19697923,1.84990118,0.365268629,0,2,0,2,0,0,4,0 8,4,2,0,2,1.41421356,0,2,0,2,0,2,0,2,0 8,4,2.12132034,0.707106781,2.33048097,1.58113883,0,0,1,0,2,0,1,0,2 8,4,2.20710678,0.792893219,2.1518076,1.51612378,0.448741236,2,0,1,2,0,0,3,0 8,4,2.41421356,0.414213562,2.4953859,1.61803399,0.618033989,2,0,0,2,2,0,0,2 8,4,2.41421356,1.0823922,2.26572038,1.61803399,0.618033989,2,0,0,3,0,0,2,1 8,4,2.5,1.5,2.97240302,2.06155281,0,4,0,1,0,4,0,1,0 8,4,2.70710678,1.29289322,3.1252954,2.06532429,0.484185463,4,0,0,1,4,0,0,1 8,4,2.70710678,1.47362576,3.04054571,2.06532429,0.484185463,5,0,0,1,3,1,0,0 8,4,3.32842712,2.32842712,4.00009864,2.85078106,0.350781059,1,0,0,4,1,0,0,4 8,6,1.27614237,0.195262146,1.2701557,1.24535599,0.180060504,1,1,0,1,1,1,0,1 9,3,3.41421356,0.585786438,3.39090854,1.96211651,0.387425887,3,0,0,3,0,0,3,0 9,4,2.85355339,1.69033519,3.36000306,2.30622117,0.34473747,5,0,0,1,4,0,1,0 9,4,3.68198052,2.72818978,4.40148294,3.20180308,0.351364519,1,0,0,5,0,0,1,4 9,5,1.81421356,0.841801135,2.0593312,1.61394088,0.33940364,1,0,1,2,0,1,0,2 9,6,1.37377345,0.335777477,1.43091992,1.35407668,0.235298189,1,1,1,1,0,1,2,0 10,4,2.62132034,1.06239336,2.84670337,1.91413724,0.459432933,0,1,0,3,0,0,2,2 10,4,3,2,3.59859284,2.54950976,0,5,0,1,0,5,0,1,0 10,4,3.20710678,1.79289322,3.78204952,2.55146704,0.489914226,5,0,0,1,5,0,0,1 10,4,3.20710678,1.92729502,3.71658244,2.55146704,0.489914226,6,0,0,1,4,1,0,0 10,4,4.03553391,3.03553391,4.84316457,3.55334348,0.35178136,1,0,0,5,1,0,0,5 10,5,1.76568542,0.286975574,1.77948675,1.47466217,0.255678461,2,0,2,1,0,1,2,0 10,5,1.93137085,0.818417155,1.89843637,1.52188274,0.569098334,3,0,0,2,1,1,0,1 10,6,1.47140452,0.410246352,1.44570214,1.47360321,0.280167063,2,0,1,1,2,0,1,1 10,6,1.47140452,0.708262242,1.60769655,1.47360321,0.280167063,1,1,1,1,1,0,3,0 10,6,1.60947571,0.861928813,1.48636225,1.76119933,0.254644008,1,0,1,2,1,0,1,2 11,4,3.35355339,2.18029348,3.99719415,2.79582317,0.347667685,6,0,0,1,5,0,1,0 11,4,4.3890873,3.42577184,5.2367612,3.9052571,0.352089495,1,0,0,6,0,0,1,5 11,5,1.88284271,0.67446521,1.97638325,1.59421809,0.31379718,2,0,2,1,1,0,3,0 11,5,2.04852814,0.776873523,2.10280768,1.62987321,0.619284523,3,0,0,2,2,0,1,1 11,5,2.04852814,1.18470776,1.94045712,1.62987321,0.619284523,1,1,1,2,0,0,4,0 11,5,2.21421356,1.22362507,2.56088055,1.93072224,0.593558451,1,0,1,3,0,0,2,2 11,6,1.51184464,0.617245871,1.50316961,1.48437523,0.272778228,1,1,0,2,0,1,1,1 12,4,2.5,0.5,2.60997459,1.80277564,0,3,0,2,0,3,0,2,0 12,4,2.70710678,0.8194955,2.63822168,1.85404192,0.559042548,2,0,2,2,0,0,4,0 12,4,2.82842712,1.41421356,3.28644661,2.23606798,0,0,1,0,3,0,1,0,3 12,4,2.91421356,0.085786438,2.91744804,1.9053082,0.787274207,3,0,0,2,3,0,0,2 12,4,2.91421356,1.41681308,2.66101317,1.9053082,0.787274207,5,0,0,2,1,2,0,0 12,4,3.12132034,1.12132034,3.46259477,2.24830739,0.667168559,2,0,0,3,2,0,0,3 12,4,3.12132034,1.5024511,3.29666258,2.24830739,0.667168559,2,0,0,4,0,0,2,2 12,4,3.5,2.5,4.20717405,3.04138127,0,6,0,1,0,6,0,1,0 12,4,3.70710678,2.29289322,4.42109413,3.04252183,0.493012075,6,0,0,1,6,0,0,1 12,4,3.70710678,2.39944979,4.36807815,3.04252183,0.493012075,7,0,0,1,5,1,0,0 12,4,4.74264069,3.74264069,5.66235073,4.25744853,0.352323695,1,0,0,6,1,0,0,6 12,5,1.93137085,0.519429148,1.99329777,1.64073027,0.167344497,2,1,0,2,0,1,2,0 12,6,1.60947571,0.276142375,1.59848961,1.60947571,0.276142375,2,1,0,1,2,1,0,1 12,6,1.60947571,0.639990582,1.69978952,1.61703111,0.28223189,1,1,0,2,1,0,2,1 13,4,3.85355339,2.673972,4.6170512,3.28868617,0.34934693,7,0,0,1,6,0,1,0 13,4,5.09619408,4.12659738,6.04905871,4.60985245,0.352505859,1,0,0,7,0,0,1,6 13,5,2.04852814,0.776873523,2.1470617,1.78254418,0.150120815,2,1,0,2,1,0,3,0 13,5,2.21421356,1.22362507,2.16815997,1.74654236,0.685266218,1,1,0,3,0,0,3,1 13,5,2.37989899,1.52842429,2.89027147,2.24746416,0.478440023,1,0,1,3,0,1,0,3 13,6,1.70710678,0.647394602,1.70582211,1.74386952,0.31274269,3,0,1,1,2,1,0,1 13,6,1.70710678,0.647394602,1.86262481,1.73613882,0.311340826,2,0,1,2,1,0,2,1 14,4,2.91421356,1.22774562,2.72279777,2.00350834,0.600794739,2,1,0,3,0,0,4,0 14,4,3.32842712,1.70926091,3.81934306,2.57783989,0.479313587,0,1,0,4,0,0,2,3 14,4,4,3,4.801414,3.53553391,0,7,0,1,0,7,0,1,0 14,4,4.20710678,2.79289322,5.0453173,3.53625507,0.494873805,7,0,0,1,7,0,0,1 14,4,4.20710678,2.88101589,5.00094441,3.53625507,0.494873805,8,0,0,1,6,1,0,0 14,4,5.44974747,4.44974747,6.46217882,4.96242257,0.352650339,1,0,0,7,1,0,0,7 14,5,2.09705627,0.634314575,2.09648263,1.76568542,0.286975574,0,2,0,2,0,1,2,1 14,5,2.16568542,0.714007451,2.32018024,1.86011262,0.374140423,3,1,0,1,3,0,2,0 14,5,2.16568542,0.953837848,2.23358347,1.90608836,0.216395827,3,0,1,2,1,0,3,0 14,5,2.33137085,0.982196498,2.37324463,1.88098367,0.679632574,4,0,0,2,2,1,0,1 14,5,2.33137085,1.16820801,2.29655018,1.88441427,0.670061835,2,0,1,3,0,0,3,1 14,6,1.7475469,0.782781268,1.65953891,1.78810948,0.229487418,1,1,0,2,1,1,0,2 14,6,1.80473785,0.861928813,1.69987169,1.88342718,0.345497792,3,0,1,1,3,0,1,1 14,6,1.80473785,1.03742692,1.82506332,1.88342718,0.345497792,4,0,1,1,2,1,1,0 14,6,2.08088023,1.52859548,1.76007413,2.43352103,0.27924078,1,0,1,3,1,0,1,3 14,8,1.20710678,0.207106781,1.24769295,1.58113883,0,1,1,1,1,1,1,1,1 15,4,3.06066017,1.27763818,3.09058266,2.13957662,0.599759847,3,0,1,3,0,0,4,0 15,4,3.26776695,1.52371229,2.97378933,2.14775819,0.873003308,3,0,0,4,0,0,3,1 15,4,4.35355339,3.16963292,5.22279908,3.78348007,0.350397725,8,0,0,1,7,0,1,0 15,4,5.80330086,4.82925451,6.84277845,5.31512517,0.352766857,1,0,0,8,0,0,1,7 15,5,2.21421356,0.83501994,2.30499168,1.92623022,0.222793961,1,2,0,2,0,1,3,0 15,5,2.28284271,1.0902427,2.57713211,1.99459385,0.426140073,4,0,1,1,3,0,2,0 15,5,2.44852814,1.0975928,2.71079214,2.01088235,0.718576501,4,0,0,2,3,0,1,1 15,5,2.44852814,1.41587781,2.54254859,2.01088235,0.718576501,5,0,0,2,2,1,1,0 15,5,2.77989899,1.86337372,3.4310043,2.57488358,0.699981808,1,0,1,4,0,0,2,3 15,6,1.84517797,0.771568703,1.81486655,1.90190592,0.324000124,1,2,1,1,0,2,2,0 15,7,1.46323438,0.380341194,1.51888945,1.64859449,0.240096682,2,0,2,1,1,1,1,1 16,3,4.55228475,0.781048584,4.52121138,2.61615534,0.516567849,4,0,0,4,0,0,4,0 16,4,2.82842712,0,2.82842712,2,0,0,2,0,2,0,2,0,2 16,4,3,1,3.29579779,2.23606798,0,4,0,2,0,4,0,2,0 16,4,3.12132034,1.12132034,3.04311549,2.14412281,0.634615942,0,2,0,3,0,0,4,1 16,4,3.20710678,1.10202817,3.31893791,2.26215679,0.618584382,5,0,0,2,3,0,2,0 16,4,3.41421356,0.585786438,3.52900859,2.28824561,0.874032049,4,0,0,2,4,0,0,2 16,4,3.41421356,1.53073373,3.20421249,2.28824561,0.874032049,6,0,0,2,2,2,0,0 16,4,3.53553391,2.12132034,4.20361267,2.91547595,0,0,1,0,4,0,1,0,4 16,4,3.82842712,1.82842712,4.41983514,2.92080963,0.684741649,2,0,0,4,2,0,0,4 16,4,3.82842712,2.08402153,4.29998098,2.92080963,0.684741649,2,0,0,5,0,0,2,3 16,4,4.5,3.5,5.38362424,4.03112887,0,8,0,1,0,8,0,1,0 16,4,4.70710678,3.29289322,5.65699375,4.03161324,0.496079332,8,0,0,1,8,0,0,1 16,4,4.70710678,3.36795869,5.61894828,4.03161324,0.496079332,9,0,0,1,7,1,0,0 16,4,6.15685425,5.15685425,7.2457949,5.6679351,0.352862192,1,0,0,8,1,0,0,8 16,5,2.33137085,1.16820801,2.49724678,2.09442719,0.115649218,1,2,0,2,1,0,4,0 16,5,2.49705627,1.16820801,2.7376494,2.03201457,0.714784429,3,0,0,3,1,1,0,2 16,6,1.80473785,0.276142375,1.79627142,1.76119933,0.254644008,2,0,2,1,2,0,2,1 16,6,1.80473785,0.639990582,1.89580952,1.73428735,0.362127445,2,1,1,1,2,0,3,0 16,6,1.94280904,0.747546896,1.87012225,2.03518376,0.328674716,3,1,0,1,3,1,0,1 16,6,1.94280904,0.747546896,1.87987723,2.0205176,0.409278158,2,0,1,2,2,0,1,2 17,4,3.26776695,1.52371229,3.25322723,2.29537413,0.647114847,1,2,0,3,0,0,5,0 17,4,4.85355339,3.66647235,5.81669942,4.27951279,0.351098659,9,0,0,1,8,0,1,0 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128,5,7.0627417,3.9645529,7.37742279,5.71751698,2.10475642,14,0,0,6,6,2,4,0 128,5,7.15979797,3.21516609,7.56642582,5.89014843,2.04600866,4,0,4,9,0,0,8,5 128,5,7.22842712,3.12247359,7.92514232,5.96596995,2.19253338,11,0,0,6,9,0,2,4 128,5,7.22842712,4.39884545,7.2828576,5.99455205,2.11313648,15,0,0,6,5,4,2,0 128,5,7.62842712,4.07518093,8.88732617,6.6583331,2.18783006,13,0,0,5,11,1,0,4 128,5,7.62842712,4.75469238,8.52887161,6.68171615,2.11534142,16,0,0,5,8,4,0,1 128,5,7.93137085,5.78734451,9.88275409,7.74273541,1.6401367,15,2,0,2,15,0,4,0 128,5,8.05685425,5.20452684,9.91788432,7.40557772,2.0874431,6,0,0,11,4,0,2,9 128,5,8.05685425,5.43020254,9.79737637,7.41176565,2.06536435,4,0,2,12,0,0,6,8 128,5,8.2627417,5.73821397,10.3034309,7.74649424,2.05714049,17,0,0,4,13,2,0,2 128,5,8.95391052,7.22685868,11.7232725,8.80710895,2.19882512,5,0,0,13,3,1,0,12 128,5,9.76568542,9.22124656,12.626491,10.3332373,2.19640773,22,0,1,2,20,0,3,0 128,5,9.93137085,9.10867021,13.2662785,10.2521118,2.30091373,22,0,0,3,20,0,2,1 128,5,9.93137085,9.17430504,13.2273608,10.2510041,2.30584354,23,0,0,3,19,1,2,0 128,5,13.0793939,13.6135761,16.9917207,14.4576948,3.04878003,2,0,1,22,0,0,3,20 128,6,5.1045695,0.781048584,5.0806228,4.98142397,0.720242018,4,4,0,4,4,4,0,4 128,6,5.1045695,1.81016672,5.36215907,4.90530537,1.02425109,4,4,0,6,0,4,4,2 128,6,5.16176046,1.29983165,5.41245363,5.07632606,0.838532042,4,4,3,4,0,4,7,0 128,6,5.21895142,0.873238863,5.18955869,5.17540995,0.939041251,6,0,4,4,6,0,4,4 128,6,5.21895142,1.19549688,5.48529189,5.18150698,0.873553955,6,0,4,5,4,0,6,3 128,6,5.21895142,1.93972836,5.39427333,5.23029354,0.7487965,7,3,0,4,7,0,6,1 128,6,5.21895142,2.02382792,5.29072046,5.23405596,0.812535362,6,1,6,4,0,3,8,0 128,6,5.21895142,2.46898348,5.93724881,5.17540995,0.939041251,4,4,2,4,4,0,10,0 128,6,5.21895142,2.53558924,5.91378179,5.17545436,0.953476057,6,3,1,5,4,0,9,0 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128,6,5.49509379,2.11438192,5.31709575,5.7148868,1.15761344,8,2,0,4,8,2,0,4 128,6,5.49509379,2.26655632,5.33988531,5.67351818,1.36628952,8,0,2,5,6,2,0,5 128,6,5.49509379,2.40913765,5.77223118,5.72762746,1.04075576,10,2,0,4,6,4,0,2 128,6,5.49509379,3.18390916,6.40558775,5.71108232,1.09045601,11,0,2,5,3,5,0,2 128,6,5.49509379,3.33725599,6.41656671,5.71795521,1.09264684,6,2,0,8,2,0,8,2 128,6,5.55228475,3.0830938,5.87484665,5.81973618,1.22138525,10,0,1,6,6,0,5,2 128,6,5.55228475,3.67497856,5.80398308,5.84598474,1.26579625,5,2,4,6,1,0,12,0 128,6,5.57597402,3.09437884,5.12279434,5.95194925,1.03648453,4,2,0,7,4,2,0,7 128,6,5.57597402,3.4988351,5.44002574,5.95194925,1.03648453,4,2,0,9,0,2,4,5 128,6,5.57597402,3.54615008,5.85346763,5.93640735,1.00452368,7,1,0,8,1,4,0,5 128,6,5.69035594,3.55244272,6.21735771,5.1278066,2.19470057,11,0,0,7,5,1,4,2 128,6,5.69035594,3.86693453,5.83621064,5.15451597,2.13121472,4,2,4,7,0,0,12,1 128,6,5.77123617,4.04468785,6.68682,5.30945069,2.16763056,2,3,1,9,0,0,9,4 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128,6,6.21895142,5.06537033,6.0357147,7.102823,1.48881567,16,0,1,4,8,4,1,0 128,6,6.24264069,4.96951747,8.30199402,6.20436666,2.43931934,4,1,1,11,0,0,7,6 128,6,6.32352092,5.53893039,4.86876598,7.52690379,0.587979084,2,2,0,10,2,2,0,10 128,6,6.32352092,5.59878706,4.82591637,7.5191131,0.638265348,2,2,0,11,0,2,2,9 128,6,6.32352092,5.59878706,9.22027237,6.85617399,2.34368901,2,1,2,10,0,3,0,10 128,6,6.51878306,5.49291672,5.15587146,7.767548,1.22414515,4,1,0,10,4,1,0,10 128,6,6.51878306,5.73051487,5.5424584,7.77296483,1.16567383,4,1,0,12,0,1,4,8 128,6,6.55228475,5.26632996,5.31276937,7.85340659,0.810763973,14,2,0,2,14,2,0,2 128,6,6.60947571,5.94262828,4.99217021,8.01095328,0.860984404,15,0,2,2,15,0,2,2 128,6,6.60947571,6.05377272,5.11793639,8.01095328,0.860984404,17,0,2,2,13,2,2,0 128,6,7.12825877,6.98960611,5.06927627,8.96905267,0.601373255,2,12,1,2,0,12,3,0 128,6,7.32352092,6.93056333,5.25825817,9.21605891,1.14641095,4,0,1,12,4,0,1,12 128,6,8.08088023,8.44784241,5.23043116,10.5783861,0.773141871,20,1,0,2,20,1,0,2 128,6,8.08088023,8.46754833,5.30803862,10.5780794,0.759248097,21,1,0,2,19,2,0,1 128,6,8.40440115,9.05719096,5.19615283,11.1405833,0.622418017,2,0,2,15,2,0,2,15 128,6,10.7042328,13.4320289,4.49490854,14.9936996,0.325020977,1,1,0,21,1,1,0,21 128,6,11.2761424,13.9468735,5.01270577,15.8548164,0.456213714,31,1,0,1,31,1,0,1 128,7,4.30601937,1.32057239,4.65036675,4.87939158,0.747585924,5,4,2,3,3,3,6,0 128,7,4.30601937,1.61277844,4.51628054,4.90580072,0.650319318,6,3,2,4,2,3,6,0 128,7,4.3550402,1.89869783,4.38186246,5.03230086,0.743975206,8,0,5,2,6,2,3,2 128,7,4.37534529,2.07000605,4.53423596,5.08532614,0.711902396,2,5,2,4,0,5,4,2 128,7,4.37534529,2.07000605,4.69212162,5.05831795,0.785812443,2,3,2,6,0,3,4,4 128,7,4.37534529,2.2037136,4.17143055,5.10799937,0.721517409,2,4,0,6,2,2,4,4 128,7,4.37534529,2.26761282,4.80779963,5.08109628,0.653726632,2,5,1,5,0,4,5,2 128,7,4.37534529,2.26761282,4.93121513,5.05330781,0.73872378,2,4,1,6,0,3,5,3 128,7,4.42436611,2.17041444,5.19203476,5.12115582,0.978486839,4,2,3,6,0,2,7,2 128,7,4.42436611,2.64507337,4.26659565,5.26434574,0.452803795,3,5,0,5,3,1,8,1 128,7,4.47338693,2.06749212,4.59106045,5.28028767,0.987777813,7,0,4,3,7,1,2,4 128,7,4.47338693,2.06749212,4.77835437,5.24098761,1.10721564,8,0,3,4,6,1,3,3 128,7,4.47338693,2.56129615,5.1306053,5.26500145,0.944459967,10,0,3,4,4,3,3,1 128,7,4.47338693,2.61647707,4.77326045,5.31917419,0.828237752,4,3,4,4,2,1,10,0 128,7,4.49369202,2.84472254,4.40511309,5.39327247,0.738420718,2,6,1,4,0,6,3,2 128,7,4.49369202,2.84472254,4.63672885,5.36461848,0.780143344,2,3,1,7,0,3,3,5 128,7,4.54271284,2.55080717,4.82716464,5.4268779,1.09638383,4,1,3,7,0,2,5,4 128,7,4.54271284,2.55080717,5.03828764,5.4032998,1.02432868,3,6,2,3,1,5,6,0 128,7,4.54271284,3.15201343,4.34705736,5.56388389,0.591031727,3,4,0,7,1,1,8,2 128,7,4.59173366,2.46147093,4.79911458,5.54734672,1.03134819,9,1,2,3,7,3,0,3 128,7,4.59173366,2.46147093,4.901409,5.52567187,1.10546482,9,2,0,4,7,2,2,2 128,7,4.71008039,2.84620045,4.92023938,5.71058193,1.55230865,8,1,0,6,6,1,2,4 128,7,4.71008039,3.17818454,5.28787288,5.68820272,1.51572128,10,0,1,6,4,3,1,3 128,7,4.71008039,3.5194561,5.77513585,5.73686163,1.22334866,11,1,0,6,3,4,2,1 128,7,4.71008039,3.55981538,5.70281455,5.74109967,1.25315077,6,1,2,8,0,1,8,2 128,7,4.71008039,3.83044195,5.90361752,5.74340593,1.12168901,6,2,1,8,0,1,9,1 128,7,4.75910121,3.45288057,5.30797036,5.847506,1.31340814,11,1,0,5,7,1,4,1 128,7,4.82842712,3.90611317,5.67288028,6.02621678,1.31359342,6,1,1,9,0,1,7,3 128,7,4.92646877,3.92990982,4.37381083,6.37179762,1.13037431,12,0,3,2,10,2,1,2 128,7,4.94677386,3.67823713,4.81349106,6.37019197,1.15716099,3,1,2,8,3,0,4,7 128,7,5.0448155,4.03288015,4.95701024,6.53455707,1.39736365,12,1,0,4,10,1,2,2 128,7,5.0448155,4.13778505,5.1277898,6.53777975,1.33717921,13,1,0,4,9,2,2,1 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273,4,33.6733585,30.7100134,37.5940394,32.1908562,1.06008364,3,0,0,47,0,0,3,44 273,4,68.8535534,67.647529,62.9194437,68.2518315,0.353543903,137,0,0,1,136,0,1,0 273,4,97.0200756,96.0213774,82.4365435,96.5207232,0.353551019,1,0,0,137,0,0,1,136 273,5,9.30538239,1.95188592,9.51267663,7.81797907,1.44194426,7,0,7,8,0,7,0,8 273,5,9.44264069,3.95430612,9.97401259,8.29375914,0.577545895,7,6,0,9,4,0,15,0 273,5,9.91126984,5.23132203,10.2209367,8.9744769,1.30336652,11,0,7,10,0,1,16,0 273,5,10.0083261,6.18331694,10.1532797,9.31933441,0.591613186,8,5,0,12,1,0,17,0 273,5,10.0083261,6.18331694,10.6662084,9.32441718,0.505217064,13,2,0,13,0,2,13,0 273,5,10.1053824,5.75162993,10.1902702,7.88652365,3.24387804,3,6,0,13,0,0,15,4 273,5,10.1740115,6.48764127,9.99125959,8.04246004,3.11750486,7,5,0,13,0,0,17,1 273,5,11.0710678,7.30968245,11.9336715,9.61258126,3.18720591,9,1,0,17,0,0,11,7 273,5,13.0142136,11.1458623,16.5790813,13.3384675,2.91295136,28,1,0,4,25,0,5,0 273,5,14.4936075,13.5770152,18.6016302,15.3947985,3.19377214,3,0,3,22,0,3,0,22 273,5,17.1563492,17.2991238,22.6404363,18.5676187,4.00543824,3,1,0,29,0,0,5,25 273,5,39.1494516,46.5544889,41.820013,46.2774056,9.44890108,1,0,1,68,0,1,0,68 273,6,7.51184464,2.98421238,7.29829619,7.49906384,0.736083738,11,0,8,3,10,0,9,2 273,6,7.51184464,3.30235121,7.60449772,7.34673889,1.35313829,9,2,8,3,8,0,13,0 273,6,7.51184464,3.30235121,8.40157551,7.22948595,1.66202007,11,0,10,3,6,2,11,0 273,6,7.59272486,1.73700771,8.00687802,7.51469993,1.23664264,9,0,6,7,6,0,9,4 273,6,7.59272486,3.51433196,8.47333383,7.4923668,1.41538991,9,4,2,7,6,0,13,0 273,6,7.61641413,3.16073342,7.94697183,7.64381633,1.06189806,7,7,1,7,0,7,8,0 273,6,7.67360509,1.94485257,7.63564824,7.65261173,1.48839223,10,0,5,6,7,4,0,7 273,6,7.67360509,3.12769109,8.64291364,7.68242854,1.29411598,5,6,4,7,0,4,13,0 273,6,7.67360509,3.88790237,8.46711729,7.7686069,1.20594458,5,8,0,7,4,2,13,0 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273,6,8.30677007,6.02751228,7.1826528,9.14107078,1.15313218,1,5,0,13,0,3,5,10 273,6,8.34027176,4.21582736,7.85044887,8.84908318,2.33912478,11,0,2,9,10,0,3,8 273,6,8.34027176,4.6661762,8.20380054,8.89019332,2.12603345,16,0,1,8,9,4,0,5 273,6,8.34027176,4.94366938,8.64776961,8.90532072,2.01404416,17,0,1,8,8,5,0,4 273,6,8.34027176,5.07673126,8.94876833,8.90320798,1.96061182,8,0,5,12,1,0,12,5 273,6,8.34027176,6.19998927,9.97554587,8.92986463,1.74220993,11,2,0,13,2,0,13,2 273,6,8.34027176,6.46321904,10.0940536,8.93858887,1.7050468,3,8,2,9,2,0,19,0 273,6,8.39746272,6.17651087,8.66701252,7.7308716,3.0659894,9,1,6,11,0,0,17,1 273,6,8.42115199,5.20424819,8.33654109,9.18721624,1.64504372,7,0,4,13,0,2,7,8 273,6,8.42115199,5.75188658,9.81804447,7.73120802,3.18949322,3,4,2,13,0,0,13,6 273,6,8.42115199,6.81304136,8.89126902,9.27940153,1.66781179,1,9,0,11,0,1,17,2 273,6,8.47834295,5.66724809,9.31759694,7.85121695,3.26131419,7,1,4,13,0,0,13,5 273,6,8.61641413,5.07517561,7.86725827,9.46910772,2.10881721,9,0,2,11,8,0,3,10 273,6,8.61641413,5.26852991,10.5813478,8.09487761,3.39536626,13,0,0,11,8,2,1,8 273,6,8.61641413,7.05389307,8.07462709,8.26243387,2.96441262,19,0,0,11,2,8,1,2 273,6,8.64010341,6.63440124,12.0065198,9.0496185,3.03570687,3,13,0,5,0,12,5,1 273,6,8.69729436,5.97414463,7.65558154,9.80708556,1.43912227,7,0,3,12,4,3,0,12 273,6,8.69729436,6.19330855,7.93108804,9.81562012,1.41940575,4,3,0,14,3,0,7,10 273,6,8.89255651,6.18512506,11.8728994,8.61818156,3.51255715,11,0,0,13,6,2,1,10 273,6,8.89255651,6.23878504,8.05615273,10.0805177,1.84687297,5,0,5,14,0,1,8,10 273,6,9.08781866,7.26256741,9.18495003,10.2894865,2.33662182,10,0,1,16,1,0,10,7 273,6,9.16869888,7.16018813,7.80226919,10.7241738,1.37149033,5,0,4,15,0,2,5,12 273,6,9.44484126,8.29427354,7.72135545,11.2497658,1.52697718,1,16,1,4,0,13,8,0 273,6,9.45465368,7.87037847,7.63250956,11.2894605,1.24421947,22,0,3,3,19,3,0,3 273,6,9.50203222,7.9819411,8.44560917,11.241615,1.874828,7,0,2,17,0,1,7,11 273,6,9.64991582,8.65327248,7.67256963,11.6578458,1.36835967,23,1,0,5,20,0,5,1 273,6,9.64991582,8.72997468,7.5620681,11.6659859,1.45842183,24,1,0,5,19,1,5,0 273,6,9.9260582,8.53268434,7.5894841,12.0010965,2.1282006,22,0,1,5,21,1,0,5 273,6,9.9260582,8.91478371,8.36948945,12.0103106,1.96559172,26,0,1,5,17,5,0,1 273,6,10.6499158,10.5156689,7.43209914,13.4974319,1.02056551,26,0,3,2,25,2,0,3 273,6,10.6499158,10.54732,7.50259223,13.4987038,1.01734687,27,2,0,3,24,2,3,0 273,6,10.845178,11.21229,7.28209686,13.8457055,1.27662558,28,0,1,4,25,0,4,1 273,6,10.845178,11.2715918,7.20273015,13.8503378,1.32343362,29,0,1,4,24,1,4,0 273,6,10.9832492,11.2265268,16.9235309,12.2179374,4.45967191,29,0,0,5,24,1,3,1 273,6,12.2732684,13.3927922,7.35632501,16.2539585,1.39560765,5,0,1,22,4,1,0,22 273,6,12.2732684,13.4919809,7.6286913,16.2538017,1.35709564,4,1,0,24,1,0,5,20 273,6,13.9636243,16.6438336,7.10603332,19.1522279,0.643730674,2,27,0,2,1,26,3,0 273,6,14.1588865,16.5788802,7.55711875,19.3907372,1.15440217,4,0,1,28,1,0,4,25 273,6,16.1785113,20.0396883,7.15528963,22.7021518,0.866714059,45,0,1,2,44,1,0,2 273,6,16.1785113,20.056315,7.2306971,22.7018312,0.859052154,46,0,1,2,43,2,0,1 273,6,22.1155724,29.3638348,6.7094306,32.067721,0.46564295,1,45,1,1,0,45,2,0 273,6,23.3737734,31.203633,6.73619748,34.0098755,0.466107923,68,0,1,1,67,1,0,1 273,7,6.24264069,1.97144112,6.36692704,7.05607194,0.972904236,5,4,4,7,0,6,5,4 273,7,6.29166151,1.64338363,6.70529511,7.12305571,1.15918504,8,5,0,6,7,3,5,3 273,7,6.29166151,2.10118906,6.67904501,7.14617763,1.08491621,7,2,6,7,0,5,7,3 273,7,6.29166151,2.23303024,6.87370443,7.14755515,1.03716953,7,3,5,7,0,5,8,2 273,7,6.34068233,1.79563889,6.75643571,7.23539882,1.25194698,7,6,5,2,6,5,8,0 273,7,6.34068233,2.22229717,6.53808808,7.2657457,1.20575177,10,0,7,4,7,4,2,5 273,7,6.34068233,2.22229717,6.71336022,7.24691843,1.25052227,6,5,6,4,3,4,11,0 273,7,6.34068233,2.46606202,6.48406458,7.28280457,1.1524342,7,4,6,5,2,4,11,0 273,7,6.34068233,2.89260716,7.21234963,7.28309309,0.998684796,7,6,2,5,6,2,11,0 273,7,6.34068233,2.98974994,6.83958068,7.31970542,0.911085002,8,5,2,6,5,2,11,0 273,7,6.36098742,2.63939586,6.88793411,7.30103972,1.17842968,6,5,0,7,5,5,1,6 273,7,6.36098742,2.74551253,7.0470831,7.30084623,1.14450389,7,5,0,7,4,6,1,5 273,7,6.36098742,2.84767758,6.64520404,7.35232214,1.02244804,3,7,3,6,0,7,6,3 273,7,6.36098742,3.04173055,6.56169182,7.35348999,1.05349818,5,4,2,9,0,5,5,5 273,7,6.36098742,3.04173055,6.92472919,7.34882959,0.966167281,3,7,2,7,0,6,7,3 273,7,6.36098742,3.22412498,5.86776336,7.41368497,0.977569664,3,8,0,7,2,5,7,3 273,7,6.36098742,3.22412498,6.80705956,7.34665526,1.02326174,5,5,1,9,0,5,6,4 273,7,6.36098742,3.31155711,6.02669098,7.4094327,0.968009149,4,7,0,8,1,5,7,3 273,7,6.38970315,2.78264662,6.87372242,7.39313972,1.12243148,10,1,5,5,9,0,8,3 273,7,6.38970315,2.78264662,7.03703282,7.35481481,1.25704752,11,0,6,5,8,1,7,3 273,7,6.38970315,2.88349628,6.38903288,7.41953969,1.1300272,12,0,7,3,9,3,4,3 273,7,6.38970315,3.25580483,6.84999561,7.43298738,0.997795821,10,0,9,5,3,3,10,1 273,7,6.38970315,3.25580483,7.12761267,7.38343612,1.1135408,7,3,6,5,6,0,13,1 273,7,6.38970315,3.34240836,5.9918452,7.47665758,1.03883749,10,1,8,5,3,3,11,0 273,7,6.38970315,3.34240836,6.23928221,7.46518716,1.00283325,8,3,6,5,5,1,13,0 273,7,6.41000824,2.4018612,6.79608654,7.42304942,1.26182998,9,2,3,6,6,5,0,6 273,7,6.41000824,2.62902917,6.63990345,7.44011197,1.2583757,8,1,5,6,5,5,0,7 273,7,6.41000824,2.62902917,7.16526479,7.42653447,1.17354083,10,2,3,6,5,6,0,5 273,7,6.41000824,2.93701891,6.92025305,7.4313359,1.2452939,7,2,4,9,0,4,7,4 273,7,6.41000824,3.12552991,7.45479114,7.44344531,1.06100623,5,6,3,7,0,5,10,1 273,7,6.41000824,3.30330052,6.71557902,7.49737105,0.986458718,6,5,0,9,3,2,9,3 273,7,6.41000824,3.38869044,7.57913976,7.42893956,1.08545104,7,4,2,9,0,4,9,2 273,7,6.41000824,3.47198092,7.06586753,7.49512648,0.918415631,7,5,0,9,2,3,9,2 273,7,6.45902906,2.72466525,6.99401525,7.51847464,1.2948439,11,5,0,5,8,4,5,1 273,7,6.45902906,3.77901357,7.19251383,7.59279762,0.893534471,8,5,0,8,5,1,11,1 273,7,6.47933415,3.50769771,6.81467662,7.62183779,1.13813173,5,4,1,8,4,5,0,8 273,7,6.47933415,3.74409254,7.29402468,7.57484962,1.19915795,7,4,0,9,2,6,1,6 273,7,6.47933415,3.81964102,6.45890701,7.65787512,1.11108042,4,5,0,10,1,4,5,6 273,7,6.47933415,3.96642341,5.69972862,7.71631331,1.11086416,2,9,0,7,1,6,7,3 273,7,6.47933415,3.96642341,7.35122,7.61185972,0.97854521,1,8,1,8,0,5,8,4 273,7,6.50804988,3.53587748,7.41493639,7.70119988,1.06794196,9,0,8,7,2,2,11,2 273,7,6.50804988,3.53587748,7.69250334,7.58344403,1.45740512,7,2,6,7,4,0,13,2 273,7,6.50804988,3.91912904,5.68876701,7.80244673,0.999687987,9,2,6,7,2,2,13,0 273,7,6.52835497,2.96802169,6.79906404,7.68031038,1.49576811,8,3,1,7,7,4,0,7 273,7,6.52835497,3.15468064,7.0455603,7.64987882,1.56810262,8,3,0,9,5,3,3,6 273,7,6.52835497,3.24398497,7.48512937,7.62305762,1.59438194,10,3,0,8,5,5,1,5 273,7,6.52835497,3.49824588,7.28723643,7.66642717,1.45734469,5,3,3,10,0,3,8,5 273,7,6.52835497,3.49824588,7.71774193,7.69019954,1.26314086,11,3,1,7,4,7,0,4 273,7,6.52835497,3.88521133,7.98820371,7.65055621,1.30915529,3,6,2,9,0,3,11,3 273,7,6.52835497,4.02960596,7.92353728,7.65766026,1.29875709,5,5,1,10,0,3,10,3 273,7,6.52835497,4.16900244,5.5718601,7.8891846,0.786072042,3,7,0,9,2,2,11,3 273,7,6.52835497,4.23698123,5.94146205,7.88604585,0.765369838,4,7,0,9,1,3,11,2 273,7,6.55707071,4.12369055,6.95735071,7.84108205,1.02374046,13,1,4,5,10,0,9,1 273,7,6.55707071,4.12369055,7.3385797,7.75187073,1.27388615,14,0,5,5,9,1,8,1 273,7,6.55707071,4.2600095,5.74254945,7.90088231,1.18860986,9,1,9,5,4,1,14,0 273,7,6.57737579,2.95603242,6.85897484,7.79497854,1.46159803,7,0,6,7,6,2,3,8 273,7,6.57737579,2.95603242,6.93590141,7.74740981,1.69575953,10,3,0,7,9,2,3,5 273,7,6.57737579,2.95603242,6.94459103,7.77927327,1.51632249,5,8,5,2,4,7,8,0 273,7,6.57737579,3.23301924,7.17480716,7.81581093,1.37575117,12,1,3,6,7,5,0,5 273,7,6.57737579,3.23301924,7.18339195,7.73075284,1.7234136,11,0,4,7,6,4,1,6 273,7,6.57737579,3.48807957,7.7276713,7.7638787,1.45957212,13,3,0,7,6,5,3,2 273,7,6.57737579,3.80163299,7.69777063,7.75259783,1.5449993,4,7,4,6,1,4,13,0 273,7,6.57737579,4.16047548,7.97489773,7.79301677,1.29501076,9,2,3,10,0,3,10,2 273,7,6.59768088,4.26437483,6.80607585,7.92876524,1.10286649,4,4,1,9,3,5,0,9 273,7,6.59768088,4.39633368,6.34081778,7.96700882,1.08620059,3,9,1,6,0,9,4,3 273,7,6.62639662,3.47719253,7.04850841,7.90452917,1.41711484,12,5,0,4,11,3,5,1 273,7,6.62639662,3.55841207,7.17767563,7.90763421,1.37021331,13,4,0,5,10,3,5,1 273,7,6.62639662,3.71552871,7.51630288,7.82531309,1.7581256,14,0,3,7,7,3,4,3 273,7,6.62639662,3.93947196,8.00531824,7.91735939,1.3128532,10,0,5,9,3,1,10,3 273,7,6.62639662,3.93947196,8.04676945,7.87161641,1.48354993,9,1,4,9,4,0,11,3 273,7,6.62639662,4.54557988,8.38670066,7.92983029,1.09518229,10,3,1,9,5,0,12,1 273,7,6.62639662,4.54557988,8.40460309,7.88712909,1.24430576,9,3,2,9,4,0,13,1 273,7,6.62639662,4.73038922,5.94648019,8.1425763,0.688448578,11,3,1,9,4,1,12,0 273,7,6.62639662,4.73038922,6.08710341,8.14465694,0.59869939,10,3,2,9,3,1,13,0 273,7,6.6467017,3.9051156,7.0655785,8.02466268,1.29862291,9,2,1,9,4,5,0,7 273,7,6.6467017,4.1187636,7.19550664,7.97001947,1.46705795,5,3,2,11,0,3,7,6 273,7,6.6467017,4.18755802,6.6141259,8.04061206,1.35585899,5,4,0,11,2,2,7,6 273,7,6.6467017,4.38747397,7.88778681,8.02872983,1.02454934,11,2,1,9,2,7,0,5 273,7,6.6467017,4.4521182,6.28057865,8.0981381,1.21712111,4,5,0,11,1,2,9,5 273,7,6.6467017,4.70181568,5.24265821,8.18647864,0.96992331,2,7,0,10,1,2,11,4 273,7,6.67541744,3.9292241,6.74900293,8.05283569,1.50129218,13,0,5,4,12,1,4,4 273,7,6.67541744,4.14162864,6.65110642,8.12066212,1.29903803,13,2,2,5,12,0,7,2 273,7,6.67541744,4.14162864,7.17859359,8.02094156,1.52235269,15,0,4,5,10,2,5,2 273,7,6.67541744,4.343659,5.950926,8.1497775,1.35130481,15,2,2,5,10,2,7,0 273,7,6.67541744,4.343659,6.23593398,8.14743208,1.35034522,13,4,1,4,12,1,8,0 273,7,6.67541744,4.343659,6.89004402,8.08111078,1.38569059,16,0,5,4,9,4,4,1 273,7,6.69572253,3.50858333,6.77326048,8.04181506,1.80210376,9,1,3,7,8,3,0,8 273,7,6.69572253,4.37804749,7.6256326,8.08855194,1.49959889,8,3,0,11,3,1,9,4 273,7,6.69572253,4.56963736,8.15278425,7.99674106,1.60709198,7,3,2,11,0,2,11,3 273,7,6.69572253,4.56963736,8.43239754,8.06712783,1.27095484,3,7,3,8,0,3,14,1 273,7,6.69572253,4.69302064,7.50635788,8.1727576,1.17017029,7,4,0,11,2,1,11,3 273,7,6.74474335,3.65589661,6.86291553,8.17855058,1.72883241,10,1,2,8,9,0,5,6 273,7,6.74474335,3.65589661,7.18640713,8.08249733,2.01519032,11,0,3,8,8,1,4,6 273,7,6.74474335,4.09806679,7.67999117,8.03000006,2.03257076,13,0,2,9,6,2,5,4 273,7,6.74474335,4.23521057,8.00028196,8.19878989,1.41574509,9,0,5,10,2,1,10,4 273,7,6.74474335,4.23521057,8.04812753,8.10471252,1.7459464,8,1,4,10,3,0,11,4 273,7,6.74474335,4.68369604,8.14724857,8.04995247,1.79974488,5,4,4,9,2,0,15,2 273,7,6.74474335,4.9793726,8.4112585,8.13240398,1.49377124,4,6,3,8,3,0,16,1 273,7,6.74474335,5.03642532,8.04421678,8.26375286,1.14115092,5,6,3,8,2,1,16,0 273,7,6.74474335,5.1486345,8.67067072,8.11869195,1.40156771,8,4,1,10,3,0,14,1 273,7,6.74474335,5.31250627,6.87130768,8.41512565,0.496874955,9,4,1,10,2,1,14,0 273,7,6.76504844,4.46636377,6.93656767,8.26394455,1.49593872,3,3,3,11,0,3,6,8 273,7,6.76504844,4.59252246,6.15665207,8.35808908,1.37747924,5,1,5,9,2,5,0,10 273,7,6.79376417,4.08679719,6.79535124,8.28292105,1.79720716,13,0,4,5,12,1,3,5 273,7,6.79376417,4.73457464,7.39567536,8.31973542,1.56699454,17,0,4,5,8,5,3,1 273,7,6.83437435,5.6193453,6.76722271,8.50728442,1.04666118,1,5,1,11,0,5,2,10 273,7,6.86309008,4.04061455,7.21785514,8.36488447,2.05737439,13,2,0,7,10,3,1,5 273,7,6.86309008,4.3799211,7.79041759,8.38027588,1.88862239,15,2,0,7,8,5,1,3 273,7,6.86309008,4.44467517,7.53161948,8.2694671,2.21856628,14,1,0,9,7,3,3,4 273,7,6.86309008,4.57143244,8.02358373,8.44109532,1.62032738,9,0,4,11,2,1,9,5 273,7,6.86309008,4.57143244,8.0308228,8.39453942,1.7788651,8,1,3,11,3,0,10,5 273,7,6.86309008,4.69476855,7.82309999,8.28018583,2.10193112,15,1,0,9,6,4,3,3 273,7,6.86309008,4.98978903,8.04850073,8.28586477,2.01968783,7,2,4,11,0,1,13,3 273,7,6.86309008,5.26831448,8.24861058,8.29182024,1.89003907,7,3,3,11,0,1,14,2 273,7,6.88339517,5.13158423,6.80595366,8.6122815,1.33708303,7,2,1,11,2,5,0,9 273,7,6.88339517,5.29598361,5.8687393,8.64795792,1.46683312,2,5,0,12,1,2,7,8 273,7,6.9121109,4.36805057,7.0359591,8.57012165,1.63568452,14,3,0,5,13,2,3,3 273,7,6.9121109,4.43297804,7.16808024,8.57248551,1.59790755,15,3,0,5,12,3,3,2 273,7,6.9121109,4.49696819,7.26440945,8.4460751,2.15011608,15,0,2,7,10,2,3,4 273,7,6.9121109,4.92165855,7.72068582,8.46710036,1.9644928,17,0,2,7,8,4,3,2 273,7,6.9121109,5.03642532,7.89898176,8.38070931,2.12094443,15,1,0,9,8,1,7,2 273,7,6.9121109,5.2584498,7.99399335,8.39295907,1.9915826,7,2,7,9,0,1,16,1 273,7,6.93241599,5.12126184,7.87314171,8.47616621,1.95654689,2,11,2,5,1,7,11,0 273,7,6.93241599,5.12126184,7.90024455,8.42717885,2.15780584,12,1,0,11,3,5,1,6 273,7,6.93241599,5.39300155,8.13762203,8.42860113,2.05523455,13,1,0,11,2,6,1,5 273,7,6.93241599,5.44572256,7.97715199,8.4458575,1.98312815,3,5,1,12,0,1,12,5 273,7,6.96113172,5.40896763,7.39698495,8.79510532,1.35269948,16,1,1,7,11,0,8,1 273,7,6.96113172,5.40896763,7.81908288,8.56138162,1.91894153,17,0,2,7,10,1,7,1 273,7,6.96113172,5.56517893,5.37466437,8.8531529,1.5873383,17,1,1,7,10,1,8,0 273,7,6.98143681,4.57971896,7.30556371,8.52740419,2.43648087,13,1,0,9,8,3,1,6 273,7,6.98143681,4.76320391,7.30506712,8.50495911,2.42275715,13,0,1,10,6,3,2,6 273,7,6.98143681,4.76320391,7.41621275,8.55933128,2.30418677,11,1,0,11,6,1,5,6 273,7,6.98143681,5.27550648,8.25690725,8.55955705,2.09939336,16,1,0,9,5,6,1,3 273,7,6.98143681,5.43555465,7.96701843,8.53693566,2.08451897,6,3,2,12,1,0,13,4 273,7,6.98143681,5.59102317,8.16979691,8.53174756,2.07637288,16,0,1,10,3,6,2,3 273,7,6.98143681,5.74228402,8.16229313,8.53580027,1.97879358,6,4,1,12,1,0,14,3 273,7,6.98143681,6.08061064,8.62431258,8.57579484,1.72810739,5,6,1,11,0,1,16,1 273,7,7.0017419,5.56557368,6.69894036,8.87760341,1.35691525,4,3,1,11,3,4,0,11 273,7,7.0017419,5.66731572,6.14315924,8.92273698,1.33136015,3,11,1,5,0,11,4,2 273,7,7.03045763,4.56709752,6.91112404,8.83297327,1.85687129,14,2,1,5,13,3,0,5 273,7,7.03045763,4.75106993,7.37342808,8.84033733,1.75297622,16,2,1,5,11,5,0,3 273,7,7.03045763,4.81083091,7.20219231,8.61138033,2.51672897,14,0,1,9,9,1,4,5 273,7,7.03045763,5.78185163,8.11769162,8.65810592,2.05447689,18,0,1,9,5,5,4,1 273,7,7.05076272,5.12706008,6.51221975,8.94451627,1.72488277,6,1,3,10,5,3,0,11 273,7,7.05076272,5.29160002,7.37667951,8.87635916,1.54723026,4,11,2,4,1,10,7,0 273,7,7.07947846,5.51837054,7.62342169,8.75684375,2.26132836,17,0,1,8,10,1,6,2 273,7,7.07947846,5.72172419,7.67449944,8.76822091,2.15139632,18,0,1,8,9,2,6,1 273,7,7.09978354,4.8277696,6.8658023,8.91048839,2.29265303,10,1,1,9,9,2,0,9 273,7,7.09978354,4.88659267,6.98676693,9.0072541,1.78770919,7,1,2,11,6,0,5,9 273,7,7.09978354,4.88659267,7.16490171,8.96682659,1.91772094,8,0,3,11,5,1,4,9 273,7,7.09978354,5.17067991,7.37259333,8.86266954,2.26419037,5,1,5,12,0,1,10,7 273,7,7.09978354,5.79595321,7.94750376,8.81759806,2.1104611,6,3,1,13,1,0,12,5 273,7,7.09978354,6.26955815,9.13547296,8.95669549,1.46456576,17,1,1,9,2,9,0,2 273,7,7.09978354,6.62410657,4.78065268,9.35416993,0.302227832,2,9,0,10,1,1,17,1 273,7,7.14880437,4.93185235,7.05473166,8.92499881,2.53496134,14,1,0,8,11,2,1,6 273,7,7.14880437,5.68534674,8.24830848,8.96451477,2.13921724,18,1,0,8,7,6,1,2 273,7,7.14880437,6.39488828,8.75642446,8.97586593,1.8858101,11,1,2,13,0,1,13,2 273,7,7.14880437,6.65756469,8.83548407,8.97935306,1.7331681,11,2,1,13,0,1,14,1 273,7,7.16910945,6.09715493,7.73051466,9.00849483,2.05785714,1,5,1,13,0,1,10,8 273,7,7.19782519,5.41610282,7.30308086,9.09549681,2.20539668,17,1,0,7,12,2,3,3 273,7,7.19782519,5.57211409,7.51300949,9.10218138,2.12066802,18,1,0,7,11,3,3,2 273,7,7.21813028,5.33573087,7.04912911,9.10594102,2.47027251,10,1,0,11,7,2,1,9 273,7,7.21813028,5.64788414,7.64092706,9.19109781,1.972579,5,2,2,13,2,0,9,8 273,7,7.21813028,6.08616895,7.96025965,9.14335078,2.10711954,7,2,1,14,0,1,10,6 273,7,7.2671511,5.21426073,6.90248392,9.17523858,2.70651088,12,1,0,9,11,1,1,8 273,7,7.2671511,6.57179693,8.94049983,9.24020456,1.96038506,19,1,0,9,4,8,1,1 273,7,7.2671511,6.65818084,8.80640337,9.24876691,1.98234669,11,1,1,14,0,1,12,3 273,7,7.28745619,6.19044051,6.53983556,9.51493609,1.57683208,3,2,3,13,0,3,4,11 273,7,7.31617192,5.4682904,7.04441681,9.34699326,2.44553793,16,1,0,7,13,2,1,5 273,7,7.31617192,5.91988657,7.85399471,9.36809828,2.20249395,19,1,0,7,10,5,1,2 273,7,7.33647701,5.74745578,6.76319683,9.49422267,2.20910479,8,1,1,11,7,2,0,11 273,7,7.33647701,6.03836231,7.34544028,9.38747929,2.24010931,10,0,1,13,3,3,2,9 273,7,7.36519274,5.90735076,7.0447217,9.61246346,1.71682413,17,1,3,3,16,3,0,4 273,7,7.36519274,5.95552026,7.16080067,9.6135868,1.68649192,18,3,0,4,15,3,3,1 273,7,7.41421356,6.53786838,6.46182001,9.80720859,1.66055267,18,1,2,4,17,0,5,2 273,7,7.41421356,6.53786838,7.03722215,9.73318579,1.74957503,19,0,3,4,16,1,4,2 273,7,7.41421356,6.62469472,6.2401659,9.84093887,1.62028081,18,2,1,4,17,0,6,1 273,7,7.41421356,6.62469472,7.08260329,9.73707781,1.71593055,20,0,3,4,15,2,4,1 273,7,7.41421356,6.66768391,5.78363987,9.85142515,1.68136061,19,2,1,4,16,1,6,0 273,7,7.41421356,6.66768391,6.18040925,9.82171752,1.68522621,20,1,2,4,15,2,5,0 273,7,7.48353947,5.99971974,7.00772217,9.84366501,2.03043528,17,2,0,5,16,2,1,4 273,7,7.48353947,6.14092197,7.36685782,9.84768836,1.94898542,19,2,0,5,14,4,1,2 273,7,7.53256029,6.57727416,6.52284358,10.0240234,1.94006523,18,1,1,5,17,0,4,3 273,7,7.53256029,6.57727416,7.04880637,9.93673338,2.06923608,19,0,2,5,16,1,3,3 273,7,7.53256029,6.7909998,7.30237555,9.94390188,1.97340455,21,0,2,5,14,3,3,1 273,7,7.53256029,6.83294277,6.64136745,10.0401207,1.89845727,21,1,1,5,14,3,4,0 273,7,7.57317047,6.82986742,7.30631052,9.98060927,2.13323788,8,1,0,14,3,3,1,11 273,7,7.57317047,6.99519859,7.40530533,9.98560351,2.05087538,3,3,1,15,0,1,8,10 273,7,7.62219129,6.56087319,7.11637097,10.0645576,2.30584588,4,1,4,14,1,0,9,10 273,7,7.65090703,6.7426717,6.94886496,10.1378078,2.31242333,20,0,1,6,15,2,2,3 273,7,7.65090703,6.86861757,7.14293214,10.141566,2.25100111,21,0,1,6,14,3,2,2 273,7,7.74053803,6.80953635,6.81391404,10.3311431,2.48303069,8,1,0,13,7,1,1,12 273,7,7.74053803,6.80953635,6.92726653,10.4538682,1.83567461,4,13,4,1,3,13,5,0 273,7,7.74053803,7.29567874,7.65116632,10.3473987,2.25712344,7,1,1,16,0,1,8,9 273,7,7.76925376,6.73446225,6.90770397,10.3857603,2.48531694,18,1,0,6,17,1,1,5 273,7,7.76925376,7.14613654,7.78142353,10.3977442,2.26084154,22,1,0,6,13,5,1,1 273,7,7.80986394,7.71864327,7.04290993,10.6082761,1.77142512,5,2,0,15,2,3,1,13 273,7,7.80986394,7.79232385,5.69208149,10.7175214,1.75895411,2,15,0,4,1,13,5,1 273,7,7.85888476,7.36464054,7.30161006,10.6554584,1.97225204,3,2,2,15,2,0,7,12 273,7,7.97723149,7.73255127,7.00063575,10.8925617,2.20506341,7,1,0,15,4,2,1,13 273,7,8.03466296,8.61982216,6.54403829,11.1728099,1.58595607,22,0,5,1,21,1,4,1 273,7,8.14459904,8.1034256,7.45623661,11.2066435,2.33056874,6,1,1,17,1,0,8,11 273,7,8.2223356,8.0245372,6.9859402,11.424765,2.2418219,22,1,0,5,19,2,1,3 273,7,8.2223356,8.09543417,7.15933547,11.4249671,2.20406039,23,1,0,5,18,3,1,2 273,7,8.27135642,8.69394404,7.17119419,11.5028085,2.15985862,24,0,1,5,19,1,4,1 273,7,8.33227169,9.08698237,6.45203433,11.7874825,1.77112633,3,2,1,16,2,3,0,16 273,7,8.33227169,9.11837031,6.34513573,11.7928331,1.78156801,2,3,0,17,1,2,3,15 273,7,8.49963924,9.08918454,6.9661771,12.023168,2.16996246,6,1,0,17,3,2,1,15 273,7,8.49963924,9.18300394,7.07091886,12.0233596,2.13093063,3,2,1,18,0,1,6,14 273,7,9.12849928,10.4245144,6.54908864,13.3719195,2.19645665,27,0,2,3,24,2,1,2 273,7,9.14039372,10.7913485,6.60969765,13.4079106,2.02619949,3,2,0,19,2,2,1,18 273,7,9.14039372,10.8177923,5.83348385,13.4624187,2.02736795,2,19,0,3,1,18,3,1 273,7,9.18941454,10.3708563,6.95979596,13.4619324,2.17613385,4,0,3,19,1,1,4,17 273,7,9.18941454,10.3708563,6.99162777,13.4561937,2.19280688,3,1,2,19,2,0,5,17 273,7,9.24684601,10.4024096,6.83228725,13.5540517,2.36512262,26,1,0,4,25,1,1,3 273,7,9.24684601,10.4844843,7.07567214,13.5516417,2.32685044,28,1,0,4,23,3,1,1 273,7,9.30776128,10.7541292,6.62886462,13.695106,2.35501876,5,1,0,19,4,1,1,18 273,7,9.30776128,10.8335396,7.06553205,13.650835,2.28160592,2,2,1,20,1,0,6,17 273,7,10.3525768,13.1896555,6.81606878,15.7493226,2.40739931,1,2,1,23,0,1,4,21 273,7,10.842785,13.7375299,6.74184502,16.6921805,2.59191969,33,1,0,3,32,1,1,2 273,7,10.842785,13.7583123,6.81842355,16.6909004,2.58440543,34,1,0,3,31,2,1,1 273,7,11.9688208,16.1476725,6.37790284,18.8430496,2.81408508,3,1,0,27,2,1,1,26 273,7,13.7489487,19.4523773,5.8941226,22.1543766,3.2261569,45,0,2,1,44,1,1,1 273,7,14.5115337,20.7911648,6.1891748,23.5213165,3.42450919,1,1,1,34,0,1,2,33 273,8,5.35875721,1.51119858,5.69863674,7.05729307,0.195868633,4,5,4,5,3,5,5,4 273,8,5.40165043,1.52386766,5.25672909,7.18867671,0.540071435,8,3,4,4,7,4,3,4 273,8,5.40165043,1.52386766,5.26070051,7.1861002,0.573335785,7,2,5,5,6,3,4,5 273,8,5.40165043,1.67993233,5.37304334,7.18417505,0.481018574,6,3,4,6,5,2,7,4 273,8,5.40165043,1.82268281,5.43862589,7.18089239,0.391834806,6,3,5,6,3,3,8,3 273,8,5.40165043,1.95503776,5.46102935,7.16994333,0.430885924,7,2,7,5,2,5,6,3 273,8,5.40165043,1.95503776,5.49145805,7.17701216,0.290252319,5,5,4,5,4,3,9,2 273,8,5.40165043,1.95503776,5.49454281,7.17539369,0.327834333,6,4,3,6,5,2,8,3 273,8,5.40165043,2.07898356,5.52904231,7.17154772,0.194044497,7,4,3,6,4,3,8,2 273,8,5.44454365,2.31450739,5.70210662,7.2945397,0.508370494,10,1,6,4,7,3,5,3 273,8,5.44454365,2.31450739,5.72355195,7.29256825,0.535908919,9,1,7,3,8,3,4,4 273,8,5.44454365,2.31450739,5.85678017,7.28718058,0.604771972,7,2,6,5,6,1,9,3 273,8,5.44454365,2.31450739,5.8639379,7.28641214,0.613960956,8,1,7,5,5,2,8,3 273,8,5.44454365,2.42011249,5.68517271,7.29220347,0.409290298,7,3,7,4,4,3,10,1 273,8,5.44454365,2.52129817,5.8166449,7.28432531,0.396679703,7,3,5,5,6,1,10,2 273,8,5.44454365,2.52129817,5.83074001,7.2822853,0.432516764,8,3,4,5,7,1,9,2 273,8,5.44454365,2.6185768,5.7373175,7.28262223,0.239088907,8,3,5,5,5,2,10,1 273,8,5.44454365,2.6185768,5.74437521,7.28135214,0.27506537,9,2,6,5,4,3,9,1 273,8,5.4623106,2.48257183,5.89858036,7.34725186,0.486456698,5,4,2,7,4,4,3,6 273,8,5.4623106,2.48257183,6.02956241,7.32760543,0.72453343,6,5,1,6,5,5,2,5 273,8,5.4623106,2.58131031,5.87508382,7.34576442,0.365369805,4,7,2,5,3,6,5,3 273,8,5.4623106,2.67640858,5.91845567,7.33009871,0.48826516,4,6,3,6,1,6,6,3 273,8,5.4623106,2.76824184,5.81555094,7.33002866,0.338274712,4,7,1,6,3,5,6,3 273,8,5.4623106,2.76824184,5.97232323,7.32946117,0.350355548,3,6,2,7,2,4,7,4 273,8,5.4623106,2.85712494,5.81651361,7.32267835,0.311659664,5,6,1,7,2,5,6,3 273,8,5.48743687,3.14452487,6.38642195,7.39414012,0.213170982,10,1,8,2,9,2,7,2 273,8,5.48743687,3.14452487,6.44008821,7.38461191,0.431575035,9,1,8,3,8,1,9,2 273,8,5.48743687,3.22304772,6.31998684,7.38545408,0.220948124,9,2,7,3,8,1,10,1 273,8,5.50520382,2.27875644,5.26284197,7.47030192,0.887884699,8,3,2,6,7,3,3,5 273,8,5.50520382,2.38594445,5.28160695,7.47169165,0.80160704,7,3,2,7,6,2,5,5 273,8,5.50520382,2.38594445,5.3053687,7.47544753,0.765789944,8,2,3,7,5,3,4,5 273,8,5.50520382,2.48851982,5.49835187,7.45854396,0.844909444,9,2,4,5,6,5,1,5 273,8,5.50520382,2.58703129,5.43826006,7.46179353,0.735110438,6,7,2,4,5,5,7,1 273,8,5.50520382,2.58703129,5.46851183,7.46564176,0.69494106,5,7,3,4,4,5,8,1 273,8,5.50520382,2.58703129,5.66259376,7.46643676,0.68634694,10,3,2,6,5,5,3,3 273,8,5.50520382,2.68192671,5.497043,7.44533018,0.812901265,8,1,6,5,5,5,1,6 273,8,5.50520382,2.68192671,5.59510932,7.45306927,0.738585449,5,6,4,5,2,5,9,1 273,8,5.50520382,2.86229469,5.49162268,7.44340744,0.662899483,6,7,1,5,5,4,8,1 273,8,5.50520382,2.86229469,5.59125575,7.45112648,0.569617534,5,7,2,5,4,4,9,1 273,8,5.50520382,2.86229469,5.6225729,7.43987372,0.70144783,6,5,4,6,1,5,9,1 273,8,5.50520382,2.86229469,5.63575759,7.46022048,0.43458078,7,3,3,8,2,3,8,3 273,8,5.50520382,2.86229469,5.71218342,7.45953203,0.446241968,4,5,3,7,3,2,10,3 273,8,5.50520382,2.94834376,5.74277954,7.4534905,0.405252161,5,5,3,7,2,3,10,2 273,8,5.50520382,3.1133151,5.57243133,7.4318073,0.48681645,8,4,3,7,1,5,8,1 273,8,5.50520382,3.1133151,5.64178998,7.43563181,0.42441671,7,5,2,7,2,4,9,1 273,8,5.54809704,2.59202995,5.59661014,7.57917401,1.01235931,8,1,5,6,7,1,6,5 273,8,5.54809704,2.68674882,5.33351048,7.60089704,0.755059066,11,2,3,5,8,3,4,3 273,8,5.54809704,2.68674882,5.38918267,7.59666452,0.796516311,10,3,2,5,9,2,5,3 273,8,5.54809704,2.68674882,5.51057413,7.5821808,0.924274988,10,1,4,6,7,2,5,4 273,8,5.54809704,2.68674882,5.56078613,7.57851599,0.953858165,9,2,3,6,8,1,6,4 273,8,5.54809704,2.77824031,5.43027789,7.5969947,0.710226342,11,3,2,5,8,3,5,2 273,8,5.54809704,2.95273081,5.85240995,7.57675837,0.749321468,7,2,5,7,4,1,10,3 273,8,5.54809704,2.95273081,5.88379779,7.5731377,0.785070272,8,1,6,7,3,2,9,3 273,8,5.54809704,3.11747001,5.66867152,7.57699778,0.554846543,5,4,5,6,4,1,12,2 273,8,5.54809704,3.11747001,5.7169135,7.55843819,0.76730839,8,1,8,6,1,4,9,2 273,8,5.54809704,3.19665751,5.63287301,7.57328651,0.488959574,6,4,5,6,3,2,12,1 273,8,5.54809704,3.19665751,5.63448908,7.5584271,0.681123924,8,2,7,6,1,4,10,1 273,8,5.54809704,3.19665751,5.84543295,7.57083809,0.525509933,7,3,4,7,4,1,11,2 273,8,5.54809704,3.19665751,5.88185204,7.56254982,0.633711503,9,1,6,7,2,3,9,2 273,8,5.54809704,3.34942073,5.71151145,7.5648076,0.34268931,8,3,4,7,3,2,11,1 273,8,5.54809704,3.34942073,5.71513288,7.56016346,0.433218792,9,2,5,7,2,3,10,1 273,8,5.54809704,3.42324689,5.63977897,7.54105085,0.592707384,8,5,1,6,7,1,10,1 273,8,5.54809704,3.42324689,5.70104951,7.55686239,0.335530713,6,5,3,6,5,1,12,1 273,8,5.56586399,3.31981295,6.0285367,7.63140651,0.479984087,4,3,4,7,3,5,1,8 273,8,5.56586399,3.31981295,6.07371466,7.63287696,0.456003587,3,8,2,5,2,7,5,3 273,8,5.56586399,3.53852484,5.93932348,7.60904764,0.442881499,4,5,1,9,1,4,6,5 273,8,5.59099026,3.27732024,6.08771401,7.69415216,0.802354407,11,1,5,4,10,1,6,3 273,8,5.59099026,3.49868946,5.90606392,7.69532537,0.500716908,13,1,5,4,8,3,6,1 273,8,5.59099026,3.49868946,5.92141467,7.69162943,0.554604938,11,3,3,4,10,1,8,1 273,8,5.59099026,3.70686228,6.1530678,7.66533688,0.579965997,10,1,6,6,5,1,11,1 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