Table lfunc_lfunctions
L-functions
{'Lhash': '1715971034879615076807402467990,1945133297413192204749709126314,2172436383171641489262172632626', 'a10': 0, 'a2': 0, 'a3': 3, 'a4': 0, 'a5': 3, 'a6': 0, 'a7': -1, 'a8': 0, 'a9': 6, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 209676.67819583448, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [1]], [3, [1, -3, 3, -1]], [5, [1, -3, 3, -1]], [31, [1, 3, 3, 1]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '7440.1', 'coefficient_field': '1.1.1.1', 'conductor': 411830784000, 'conductor_radical': 930, 'degree': 6, 'euler_factors': [[1], [1, -3, 3, -1], [1, -3, 3, -1], [1, 1, 15, 16, 105, 49, 343], [1, 5, 33, 102, 363, 605, 1331], [1, 2, 21, 8, 273, 338, 2197], [1, 0, 11, 64, 187, 0, 4913], [1, 5, 57, 182, 1083, 1805, 6859], [1, 11, 85, 438, 1955, 5819, 12167], [1, 4, 73, 240, 2117, 3364, 24389], [1, 3, 3, 1], [1, -4, 21, 104, 777, -5476, 50653], [1, 16, 183, 1296, 7503, 26896, 68921], [1, 17, 153, 998, 6579, 31433, 79507], [1, 14, 105, 684, 4935, 30926, 103823], [1, -9, 111, -722, 5883, -25281, 148877], [1, 2, 127, 336, 7493, 6962, 205379], [1, 6, 155, 596, 9455, 22326, 226981], [1, 10, 139, 784, 9313, 44890, 300763], [1, -7, 31, -276, 2201, -35287, 357911], [1, -1, 101, -480, 7373, -5329, 389017], [1, 15, 237, 2086, 18723, 93615, 493039], [1, 20, 349, 3384, 28967, 137780, 571787], [1, 1, 237, 228, 21093, 7921, 704969], [1, -14, 255, -2084, 24735, -131726, 912673], [1, 15, 303, 2746, 30603, 153015, 1030301], [1, 0, 119, -128, 12257, 0, 1092727], [1, 35, 657, 7998, 70299, 400715, 1225043], [1, 4, 199, 616, 21691, 47524, 1295029], [1, -11, 355, -2418, 40115, -140459, 1442897]], 'euler_factors_factorization': [[1], [[[1, -1], 3]], [[[1, -1], 3]], [[[1, 1, 15, 16, 105, 49, 343], 1]], [[[1, 5, 33, 102, 363, 605, 1331], 1]], [[[1, 2, 21, 8, 273, 338, 2197], 1]], [[[1, 0, 11, 64, 187, 0, 4913], 1]], [[[1, 5, 57, 182, 1083, 1805, 6859], 1]], [[[1, 11, 85, 438, 1955, 5819, 12167], 1]], [[[1, 4, 73, 240, 2117, 3364, 24389], 1]], [[[1, 1], 3]], [[[1, -4, 21, 104, 777, -5476, 50653], 1]], [[[1, 16, 183, 1296, 7503, 26896, 68921], 1]], [[[1, 17, 153, 998, 6579, 31433, 79507], 1]], [[[1, 14, 105, 684, 4935, 30926, 103823], 1]], [[[1, -9, 111, -722, 5883, -25281, 148877], 1]], [[[1, 2, 127, 336, 7493, 6962, 205379], 1]], [[[1, 6, 155, 596, 9455, 22326, 226981], 1]], [[[1, 10, 139, 784, 9313, 44890, 300763], 1]], [[[1, -7, 31, -276, 2201, -35287, 357911], 1]], [[[1, -1, 101, -480, 7373, -5329, 389017], 1]], [[[1, 15, 237, 2086, 18723, 93615, 493039], 1]], [[[1, 20, 349, 3384, 28967, 137780, 571787], 1]], [[[1, 1, 237, 228, 21093, 7921, 704969], 1]], [[[1, -14, 255, -2084, 24735, -131726, 912673], 1]], [[[1, 15, 303, 2746, 30603, 153015, 1030301], 1]], [[[1, 0, 119, -128, 12257, 0, 1092727], 1]], [[[1, 35, 657, 7998, 70299, 400715, 1225043], 1]], [[[1, 4, 199, 616, 21691, 47524, 1295029], 1]], [[[1, -11, 355, -2418, 40115, -140459, 1442897], 1]]], 'gamma_factors': [[], [0, 0, 0]], 'group': 'GL2', 'id': 21863395, 'index': 9, 'label': '6-7440e3-1.1-c1e3-0-9', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 3, 'origin': 'ModularForm/GL2/Q/holomorphic/7440/2/a/bw', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.015625', 'prec': 17}, 'plot_values': [-5.068184573661619e-180, 0.0005299906159548305, 0.00423652260649172, 0.014279139253390478, 0.033783360888449174, 0.06582320410102598, 0.11340383083974574, 0.17944402589212724, 0.2667566573730838, 0.3780311921787475, 0.5158154586061346, 0.6824922768661839, 0.8802631591863102, 1.1111296641010813, 1.3768649217208857, 1.6790007172478605, 2.018809435697464, 2.397270416376141, 2.8150630598341513, 3.2725511112936227, 3.7697455811120166, 4.306306363307125, 4.881531270573766, 5.494319392150051, 6.14318289276429, 6.826243631362745, 7.541202926435946, 8.28536372894379, 9.055637673514205, 9.8485288621703, 10.660164573089256, 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