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{'algebraic': True, 'analytic_conductor': 99.97448411013764, 'bad_primes': [2, 3, 11], 'central_character': '1.1', 'conductor': 24591257856, 'conductor_radical': 66, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 7, 0, 3, 0, 0, 0, -11, 0, -1, 0, 0, 0, 6, 0, 12, 0, 0, 0, -8, 0, 20, 0, 0, 0, 10, 0, 10, 0, 0, 0, 21, 0, 1, 0, 0, 0, 15, 0, 20, 0, 0, 0, 5, 0, -3, 0, 0, 0, -26, 0, -77, 0, 0, 0, -2, 0, -1, 0, 0, 0, -7, 0, -14, 0, 0, 0, -5, 0, -6, 0, 0, 0, -33, 0, -7, 0, 0, 0, 1, 0, 42, 0, 0, 0, -4, 0, -3, 0, 0, 0, 84, 0, -13, 0, 0, 0], 'euler11': [1, 11, 51, 121, 121, 0, 0, 0, 0], 'euler13': [1, 1, 18, 5, 251, 65, 3042, 2197, 28561], 'euler17': [1, -6, -1, 108, -491, 1836, -289, -29478, 83521], 'euler19': [1, -12, 75, -422, 2139, -8018, 27075, -82308, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 8, 106, 544, 3819, 12512, 56074, 97336, 279841], 'euler29': [1, -10, 31, -200, 1821, -5800, 26071, -243890, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, -10, 29, 190, -2369, 5890, 27869, -297910, 923521], 'euler37': [1, -1, 14, 103, 739, 3811, 19166, -50653, 1874161], 'euler41': [1, -15, 44, 435, -4649, 17835, 73964, -1033815, 2825761], 'euler43': [1, -20, 282, -2680, 20579, -115240, 521418, -1590140, 3418801], 'euler47': [1, -5, -37, 235, 824, 11045, -81733, -519115, 4879681], 'euler5': [1, -7, 29, -93, 236, -465, 725, -875, 625], 'euler53': [1, 26, 263, 1320, 5801, 69960, 738767, 3870802, 7890481], 'euler59': [1, 2, 5, 402, 4019, 23718, 17405, 410758, 12117361], 'euler61': [1, 1, -55, 179, 3844, 10919, -204655, 226981, 13845841], 'euler67': [1, 14, 319, 2828, 33769, 189476, 1431991, 4210682, 20151121], 'euler7': [1, -3, 12, -35, 141, -245, 588, -1029, 2401], 'euler71': [1, 5, -61, -355, 2936, -25205, -307501, 1789555, 25411681], 'euler73': [1, 6, -57, -130, 4761, -9490, -303753, 2334102, 28398241], 'euler79': [1, 7, 80, 467, 1309, 36893, 499280, 3451273, 38950081], 'euler83': [1, -1, 98, -295, 6881, -24485, 675122, -571787, 47458321], 'euler89': [1, 4, 362, 1072, 48595, 95408, 2867402, 2819876, 62742241], 'euler97': [1, 13, -3, 275, 12116, 26675, -28227, 11864749, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -7, 29, -93, 236, -465, 725, -875, 625], [1, -3, 12, -35, 141, -245, 588, -1029, 2401], [1, 11, 51, 121, 121, 0, 0, 0, 0], [1, 1, 18, 5, 251, 65, 3042, 2197, 28561], [1, -6, -1, 108, -491, 1836, -289, -29478, 83521], [1, -12, 75, -422, 2139, -8018, 27075, -82308, 130321], [1, 8, 106, 544, 3819, 12512, 56074, 97336, 279841], [1, -10, 31, -200, 1821, -5800, 26071, -243890, 707281], [1, -10, 29, 190, -2369, 5890, 27869, -297910, 923521], [1, -1, 14, 103, 739, 3811, 19166, -50653, 1874161], [1, -15, 44, 435, -4649, 17835, 73964, -1033815, 2825761], [1, -20, 282, -2680, 20579, -115240, 521418, -1590140, 3418801], [1, -5, -37, 235, 824, 11045, -81733, -519115, 4879681], [1, 26, 263, 1320, 5801, 69960, 738767, 3870802, 7890481], [1, 2, 5, 402, 4019, 23718, 17405, 410758, 12117361], [1, 1, -55, 179, 3844, 10919, -204655, 226981, 13845841], [1, 14, 319, 2828, 33769, 189476, 1431991, 4210682, 20151121], [1, 5, -61, -355, 2936, -25205, -307501, 1789555, 25411681], [1, 6, -57, -130, 4761, -9490, -303753, 2334102, 28398241], [1, 7, 80, 467, 1309, 36893, 499280, 3451273, 38950081], [1, -1, 98, -295, 6881, -24485, 675122, -571787, 47458321], [1, 4, 362, 1072, 48595, 95408, 2867402, 2819876, 62742241], [1, 13, -3, 275, 12116, 26675, -28227, 11864749, 88529281]], 'id': 10191376, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/396/2/j/c'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '8-396e4-1.1-c1e4-0-8', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-396e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7782226857294068, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 1171972910073304633, 'z1': {'__RealLiteral__': 0, 'data': '0.892661504071150381320005476610', 'prec': 107}}