Table lfunc_lfunctions
L-functions
{'Lhash': '306484032572267473079771515600,746731291662329775971644377436,1066292569482689229802050263923', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -2, 'a5': 0, 'a6': 0, 'a7': -4, 'a8': -1, 'a9': 0, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 172768.2590114603, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [1]], [5, [1]], [31, [1, 3, 3, 1]]], 'bad_primes': [3, 5, 31], 'central_character': '6975.1', 'coefficient_field': '1.1.1.1', 'conductor': 339338109375, 'conductor_radical': 465, 'degree': 6, 'euler_factors': [[1, 0, 2, 1, 4, 0, 8], [1], [1], [1, 4, 20, 48, 140, 196, 343], [1, -2, 13, -60, 143, -242, 1331], [1, 4, 23, 48, 299, 676, 2197], [1, 2, 27, 36, 459, 578, 4913], [1, -4, 12, 44, 228, -1444, 6859], [1, 6, 65, 244, 1495, 3174, 12167], [1, -8, 31, -72, 899, -6728, 24389], [1, 3, 3, 1], [1, 0, 95, -8, 3515, 0, 50653], [1, -10, 106, -558, 4346, -16810, 68921], [1, 14, 133, 836, 5719, 25886, 79507], [1, -12, 125, -872, 5875, -26508, 103823], [1, 10, 143, 1028, 7579, 28090, 148877], [1, 26, 390, 3624, 23010, 90506, 205379], [1, 2, 55, -268, 3355, 7442, 226981], [1, 12, 249, 1672, 16683, 53868, 300763], [1, -10, 66, -708, 4686, -50410, 357911], [1, -12, 123, -1024, 8979, -63948, 389017], [1, -8, 233, -1200, 18407, -49928, 493039], [1, -20, 357, -3432, 29631, -137780, 571787], [1, -18, 375, -3420, 33375, -142578, 704969], [1, 4, 264, 682, 25608, 37636, 912673], [1, -22, 342, -3426, 34542, -224422, 1030301], [1, -16, 344, -3048, 35432, -169744, 1092727], [1, -18, 386, -3704, 41302, -206082, 1225043], [1, -4, 180, -358, 19620, -47524, 1295029], [1, 18, 266, 2326, 30058, 229842, 1442897]], 'euler_factors_factorization': [[[[1, 0, 2, 1, 4, 0, 8], 1]], [1], [1], [[[1, 4, 20, 48, 140, 196, 343], 1]], [[[1, -2, 13, -60, 143, -242, 1331], 1]], [[[1, 4, 23, 48, 299, 676, 2197], 1]], [[[1, 2, 27, 36, 459, 578, 4913], 1]], [[[1, -4, 12, 44, 228, -1444, 6859], 1]], [[[1, 6, 65, 244, 1495, 3174, 12167], 1]], [[[1, -8, 31, -72, 899, -6728, 24389], 1]], [[[1, 1], 3]], [[[1, 0, 95, -8, 3515, 0, 50653], 1]], [[[1, -10, 106, -558, 4346, -16810, 68921], 1]], [[[1, 14, 133, 836, 5719, 25886, 79507], 1]], [[[1, -12, 125, -872, 5875, -26508, 103823], 1]], [[[1, 10, 143, 1028, 7579, 28090, 148877], 1]], [[[1, 26, 390, 3624, 23010, 90506, 205379], 1]], [[[1, 2, 55, -268, 3355, 7442, 226981], 1]], [[[1, 4, 67], 3]], [[[1, -10, 66, -708, 4686, -50410, 357911], 1]], [[[1, -12, 123, -1024, 8979, -63948, 389017], 1]], [[[1, -8, 233, -1200, 18407, -49928, 493039], 1]], [[[1, -20, 357, -3432, 29631, -137780, 571787], 1]], [[[1, -6, 89], 3]], [[[1, 4, 264, 682, 25608, 37636, 912673], 1]], [[[1, -22, 342, -3426, 34542, -224422, 1030301], 1]], [[[1, -16, 344, -3048, 35432, -169744, 1092727], 1]], [[[1, -18, 386, -3704, 41302, -206082, 1225043], 1]], [[[1, -4, 180, -358, 19620, -47524, 1295029], 1]], [[[1, 18, 266, 2326, 30058, 229842, 1442897], 1]]], 'gamma_factors': [[], [0, 0, 0]], 'group': 'GL2', 'id': 21501640, 'index': 0, 'label': '6-6975e3-1.1-c1e3-0-0', 'leading_term': '0.82687244435496787659448069742247861132261150664940235880120413891627537830445715858813469', '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': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/6975/2/a/bb', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.016927083333333332', 'prec': 57}, 'plot_values': [0.8268724443549679, 0.8178043475687058, 0.8041601932697574, 0.781460216290954, 0.7471082804997401, 0.7023423444019643, 0.6489669695519247, 0.5882084543197842, 0.5206202758534955, 0.44684464397280876, 0.36785643678799795, 0.2848621646112507, 0.19912868556915683, 0.11193358077368802, 0.024583912899427435, -0.06157054653610789, -0.1451391873925212, -0.22473568477271177, -0.2989940210630011, -0.3665870628762679, -0.42625894616270915, -0.47683432672709297, -0.5172471590668384, -0.546575178874299, -0.5640493864749591, -0.5690862234051568, 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