# 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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