Table lfunc_lfunctions
L-functions
{'Lhash': '718569483014050573293373549469,1124426811120607117051738131647,1160755333483875231075633202605', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': -2, 'a5': 0, 'a6': 0, 'a7': 4, 'a8': -2, '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, 2, 4, 0, 8], [1], [1], [1, -4, 21, -52, 147, -196, 343], [1, -7, 36, -117, 396, -847, 1331], [1, 0, 5, 62, 65, 0, 2197], [1, -7, 44, -179, 748, -2023, 4913], [1, 11, 84, 419, 1596, 3971, 6859], [1, -5, 12, 9, 276, -2645, 12167], [1, -5, 92, -289, 2668, -4205, 24389], [1, 3, 3, 1], [1, -26, 333, -2546, 12321, -35594, 50653], [1, -8, 107, -526, 4387, -13448, 68921], [1, -8, 57, -320, 2451, -14792, 79507], [1, 10, 121, 948, 5687, 22090, 103823], [1, -11, 120, -1191, 6360, -30899, 148877], [1, -14, 181, -1350, 10679, -48734, 205379], [1, -12, 167, -1400, 10187, -44652, 226981], [1, -3, 44, -671, 2948, -13467, 300763], [1, -26, 401, -3940, 28471, -131066, 357911], [1, -12, 251, -1768, 18323, -63948, 389017], [1, -10, 255, -1546, 20145, -62410, 493039], [1, -5, 208, -651, 17264, -34445, 571787], [1, -9, 102, -79, 9078, -71289, 704969], [1, 5, 114, 1529, 11058, 47045, 912673], [1, -24, 495, -5360, 49995, -244824, 1030301], [1, 11, 264, 2291, 27192, 116699, 1092727], [1, 8, 45, -714, 4815, 91592, 1225043], [1, 6, 179, 568, 19511, 71286, 1295029], [1, 2, 191, 748, 21583, 25538, 1442897]], 'euler_factors_factorization': [[[[1, 0, 2, 2, 4, 0, 8], 1]], [1], [1], [[[1, -4, 21, -52, 147, -196, 343], 1]], [[[1, -7, 36, -117, 396, -847, 1331], 1]], [[[1, 0, 5, 62, 65, 0, 2197], 1]], [[[1, -7, 44, -179, 748, -2023, 4913], 1]], [[[1, 11, 84, 419, 1596, 3971, 6859], 1]], [[[1, -5, 12, 9, 276, -2645, 12167], 1]], [[[1, -5, 92, -289, 2668, -4205, 24389], 1]], [[[1, 1], 3]], [[[1, -26, 333, -2546, 12321, -35594, 50653], 1]], [[[1, -8, 107, -526, 4387, -13448, 68921], 1]], [[[1, -8, 57, -320, 2451, -14792, 79507], 1]], [[[1, 10, 121, 948, 5687, 22090, 103823], 1]], [[[1, -11, 120, -1191, 6360, -30899, 148877], 1]], [[[1, -14, 181, -1350, 10679, -48734, 205379], 1]], [[[1, -12, 167, -1400, 10187, -44652, 226981], 1]], [[[1, -3, 44, -671, 2948, -13467, 300763], 1]], [[[1, -26, 401, -3940, 28471, -131066, 357911], 1]], [[[1, -12, 251, -1768, 18323, -63948, 389017], 1]], [[[1, -10, 255, -1546, 20145, -62410, 493039], 1]], [[[1, -5, 208, -651, 17264, -34445, 571787], 1]], [[[1, -9, 102, -79, 9078, -71289, 704969], 1]], [[[1, 5, 114, 1529, 11058, 47045, 912673], 1]], [[[1, -8, 101], 3]], [[[1, 11, 264, 2291, 27192, 116699, 1092727], 1]], [[[1, 8, 45, -714, 4815, 91592, 1225043], 1]], [[[1, 6, 179, 568, 19511, 71286, 1295029], 1]], [[[1, 2, 191, 748, 21583, 25538, 1442897], 1]]], 'gamma_factors': [[], [0, 0, 0]], 'group': 'GL2', 'id': 21501638, 'index': 2, 'label': '6-6975e3-1.1-c1e3-0-2', 'leading_term': '7.5650327494356082437617526192293742530099838150245600047500236418393726625208057703772291', '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/bd', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.016927083333333332', 'prec': 57}, 'plot_values': [7.565032749435607, 7.541444796176786, 7.506088191924471, 7.4473299506909045, 7.357814355228749, 7.2398565773086565, 7.097314070099326, 6.9326169091370575, 6.746208555220705, 6.538522945204446, 6.3106600420200625, 6.064303063341383, 5.801272989699419, 5.523373594983346, 5.232451063299618, 4.930460558388401, 4.619491246930938, 4.301726924942931, 3.9794093668591426, 3.654820519646112, 3.3302629566241815, 3.008048795529931, 2.690469359016221, 2.3797705178351847, 2.0781384646476235, 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