Table lfunc_lfunctions
L-functions
{'Lhash': '458654905499433762553955754644,1151144880038604095455711441955,1867591786861493063050511650194,3262097827184732812623522912223', 'a10': -6, 'a2': 3, 'a3': -6, 'a4': 5, 'a5': -2, 'a6': -18, 'a7': 2, 'a8': 6, 'a9': 21, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5717.681335377052, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [1, 6, 15, 18, 9]], [11, [1]]], 'bad_primes': [3, 11], 'central_character': '1089.1', 'coefficient_field': '1.1.1.1', 'conductor': 1406408618241, 'conductor_radical': 33, 'degree': 8, 'euler_factors': [[1, -3, 4, -3, 3, -6, 16, -24, 16], [1, 6, 15, 18, 9], [1, 2, -2, -8, -9, -40, -50, 250, 625], [1, -2, -11, -2, 148, -14, -539, -686, 2401], [1], [1, -4, 6, 64, -277, 832, 1014, -8788, 28561], [1, -6, 59, -252, 1509, -4284, 17051, -29478, 83521], [1, -4, 82, -232, 2395, -4408, 29602, -27436, 130321], [1, 7, -8, 77, 1593, 1771, -4232, 85169, 279841], [1, -3, -40, 27, 1299, 783, -33640, -73167, 707281], [1, -1, -60, 1, 2729, 31, -57660, -29791, 923521], [1, -2, 87, -160, 4661, -5920, 119103, -101306, 1874161], [1, -14, 85, -406, 2604, -16646, 142885, -964894, 2825761], [1, -3, -68, 27, 3693, 1161, -125732, -238521, 3418801], [1, 6, 13, -426, -3372, -20022, 28717, 622938, 4879681], [1, 6, 163, 780, 12501, 41340, 457867, 893262, 7890481], [1, 1, -116, -1, 10149, -59, -403796, 205379, 12117361], [1, 15, 58, 675, 10443, 41175, 215818, 3404715, 13845841], [1, 12, -26, 432, 14763, 28944, -116714, 3609156, 20151121], [1, 34, 655, 8636, 84609, 613156, 3301855, 12168974, 25411681], [1, 14, 343, 3080, 39421, 224840, 1827847, 5446238, 28398241], [1, 1, -56, -101, -3071, -7979, -349496, 493039, 38950081], [1, -24, 271, -3336, 38328, -276888, 1866919, -13722888, 47458321], [1, 36, 832, 12348, 138030, 1098972, 6590272, 25378884, 62742241], [1, 12, -86, 432, 29523, 41904, -809174, 10952076, 88529281], [1, -8, -134, 32, 22539, 3232, -1366934, -8242408, 104060401], [1, -16, -9, -944, 33248, -97232, -95481, -17483632, 112550881], [1, 2, 7, 220, 23121, 23540, 80143, 2450086, 131079601], [1, -42, 1075, -17892, 220389, -1950228, 12772075, -54391218, 141158161], [1, 30, 454, 6600, 84447, 745800, 5797126, 43286910, 163047361]], 'euler_factors_factorization': [[[[1, -3, 5, -6, 4], 1], [[1, 0, -1, 0, 4], 1]], [[[1, 3, 3], 2]], [[[1, 2, -2, -8, -9, -40, -50, 250, 625], 1]], [[[1, -5, 7], 2], [[1, 4, 7], 2]], [1], [[[1, -4, 6, 64, -277, 832, 1014, -8788, 28561], 1]], [[[1, -3, 25, -51, 289], 2]], [[[1, -1, 19], 4]], [[[1, 7, -8, 77, 1593, 1771, -4232, 85169, 279841], 1]], [[[1, -3, -40, 27, 1299, 783, -33640, -73167, 707281], 1]], [[[1, -1, -60, 1, 2729, 31, -57660, -29791, 923521], 1]], [[[1, -1, 43, -37, 1369], 2]], [[[1, -14, 85, -406, 2604, -16646, 142885, -964894, 2825761], 1]], [[[1, -3, -68, 27, 3693, 1161, -125732, -238521, 3418801], 1]], [[[1, 6, 13, -426, -3372, -20022, 28717, 622938, 4879681], 1]], [[[1, 3, 77, 159, 2809], 2]], [[[1, 1, -116, -1, 10149, -59, -403796, 205379, 12117361], 1]], [[[1, 15, 58, 675, 10443, 41175, 215818, 3404715, 13845841], 1]], [[[1, 6, -31, 402, 4489], 2]], [[[1, 17, 183, 1207, 5041], 2]], [[[1, 7, 147, 511, 5329], 2]], [[[1, 1, -56, -101, -3071, -7979, -349496, 493039, 38950081], 1]], [[[1, -24, 271, -3336, 38328, -276888, 1866919, -13722888, 47458321], 1]], [[[1, 18, 254, 1602, 7921], 2]], [[[1, 6, -61, 582, 9409], 2]], [[[1, -8, -134, 32, 22539, 3232, -1366934, -8242408, 104060401], 1]], [[[1, -16, -9, -944, 33248, -97232, -95481, -17483632, 112550881], 1]], [[[1, 1, 3, 107, 11449], 2]], [[[1, -21, 317, -2289, 11881], 2]], [[[1, 30, 454, 6600, 84447, 745800, 5797126, 43286910, 163047361], 1]]], 'gamma_factors': [[], [0, 0, 0, 0]], 'group': 'GL2', 'id': 24201339, 'index': 2, 'label': '8-33e8-1.1-c1e4-0-2', 'leading_term': '2.38443380059123703694623908301680840855014167249010398648953256217414647789540327373645425', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0, 0], 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