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{'Lhash': '1016603607848137935170139468118,1463948598422691789659564259794,1557161003786109417020305390640,2157064323659229765706184608778', 'a10': 0, 'a2': 0, 'a3': 4, 'a4': 0, 'a5': -2, 'a6': 0, 'a7': 0, 'a8': 0, 'a9': 10, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2812.4692406927743, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, -4, 6, -4, 1]], [19, [1, -16, 102, -304, 361]]], 'bad_primes': [2, 3, 19], 'central_character': '912.1', 'coefficient_field': '1.1.1.1', 'conductor': 691798081536, 'conductor_radical': 114, 'degree': 8, 'euler_factors': [[1], [1, -4, 6, -4, 1], [1, 2, 5, 14, 64, 70, 125, 250, 625], [1, 0, -21, 0, 200, 0, -1029, 0, 2401], [1, 0, -37, 0, 576, 0, -4477, 0, 14641], [1, 0, -24, 0, 350, 0, -4056, 0, 28561], [1, -10, 89, -490, 2452, -8330, 25721, -49130, 83521], [1, -16, 102, -304, 361], [1, 0, -16, 0, -66, 0, -8464, 0, 279841], [1, 0, -4, 0, -426, 0, -3364, 0, 707281], [1, -12, 112, 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-
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{'algebraic': True, 'analytic_conductor': 2812.4692406927743, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 691798081536, 'conductor_radical': 114, 'degree': 8, 'dirichlet_coefficients': [1, 0, 4, 0, -2, 0, 0, 0, 10, 0, 0, 0, 0, 0, -8, 0, 10, 0, 16, 0, 0, 0, 0, 0, -1, 0, 20, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 21, 0, 40, 0, 0, 0, 0, 0, 64, 0, -16, 0, 10, 0, 0, 0, 0, 0, 8, 0, 0, 0, -16, 0, 18, 0, -4, 0, 0, 0, -4, 0, 35, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 48, 0, -32, 0, 0, 0, 0, 0], 'euler11': [1, 0, -37, 0, 576, 0, -4477, 0, 14641], 'euler13': [1, 0, -24, 0, 350, 0, -4056, 0, 28561], 'euler17': [1, -10, 89, -490, 2452, -8330, 25721, -49130, 83521], 'euler19': [1, -16, 102, -304, 361, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -16, 0, -66, 0, -8464, 0, 279841], 'euler29': [1, 0, -4, 0, -426, 0, -3364, 0, 707281], 'euler3': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler31': [1, -12, 112, -828, 5598, -25668, 107632, -357492, 923521], 'euler37': [1, 0, -120, 0, 6206, 0, -164280, 0, 1874161], 'euler41': [1, 0, -68, 0, 4518, 0, -114308, 0, 2825761], 'euler43': [1, 0, -85, 0, 3648, 0, -157165, 0, 3418801], 'euler47': [1, 0, -169, 0, 11484, 0, -373321, 0, 4879681], 'euler5': [1, 2, 5, 14, 64, 70, 125, 250, 625], 'euler53': [1, 0, -100, 0, 6006, 0, -280900, 0, 7890481], 'euler59': [1, 16, 332, 3088, 32470, 182192, 1155692, 3286064, 12117361], 'euler61': [1, -10, 265, -1810, 24892, -110410, 986065, -2269810, 13845841], 'euler67': [1, -8, 28, -584, 11158, -39128, 125692, -2406104, 20151121], 'euler7': [1, 0, -21, 0, 200, 0, -1029, 0, 2401], 'euler71': [1, 16, 380, 3664, 44134, 260144, 1915580, 5726576, 25411681], 'euler73': [1, -18, 265, -2970, 30948, -216810, 1412185, -7002306, 28398241], 'euler79': [1, 4, 256, 820, 28990, 64780, 1597696, 1972156, 38950081], 'euler83': [1, 0, -308, 0, 37494, 0, -2121812, 0, 47458321], 'euler89': [1, 0, -4, 0, 15846, 0, -31684, 0, 62742241], 'euler97': [1, 0, -36, 0, 19142, 0, -338724, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 2, 5, 14, 64, 70, 125, 250, 625], [1, 0, -21, 0, 200, 0, -1029, 0, 2401], [1, 0, -37, 0, 576, 0, -4477, 0, 14641], [1, 0, -24, 0, 350, 0, -4056, 0, 28561], [1, -10, 89, -490, 2452, -8330, 25721, -49130, 83521], [1, -16, 102, -304, 361, 0, 0, 0, 0], [1, 0, -16, 0, -66, 0, -8464, 0, 279841], [1, 0, -4, 0, -426, 0, -3364, 0, 707281], [1, -12, 112, -828, 5598, -25668, 107632, -357492, 923521], [1, 0, -120, 0, 6206, 0, -164280, 0, 1874161], [1, 0, -68, 0, 4518, 0, -114308, 0, 2825761], [1, 0, -85, 0, 3648, 0, -157165, 0, 3418801], [1, 0, -169, 0, 11484, 0, -373321, 0, 4879681], [1, 0, -100, 0, 6006, 0, -280900, 0, 7890481], [1, 16, 332, 3088, 32470, 182192, 1155692, 3286064, 12117361], [1, -10, 265, -1810, 24892, -110410, 986065, -2269810, 13845841], [1, -8, 28, -584, 11158, -39128, 125692, -2406104, 20151121], [1, 16, 380, 3664, 44134, 260144, 1915580, 5726576, 25411681], [1, -18, 265, -2970, 30948, -216810, 1412185, -7002306, 28398241], [1, 4, 256, 820, 28990, 64780, 1597696, 1972156, 38950081], [1, 0, -308, 0, 37494, 0, -2121812, 0, 47458321], [1, 0, -4, 0, 15846, 0, -31684, 0, 62742241], [1, 0, -36, 0, 19142, 0, -338724, 0, 88529281]], 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/912/2/k/h'], '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': '8-912e4-1.1-c1e4-0-12', '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': '8-912e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.698584196266771, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 591599825565944935, 'z1': {'__RealLiteral__': 0, 'data': '0.801958842338028592861741425657', 'prec': 107}}
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{'Lhash': '1016603607848137935170139468118,1463948598422691789659564259794,1557161003786109417020305390640,2157064323659229765706184608778', 'Lhash_array': ['1016603607848137935170139468118', '1463948598422691789659564259794', '1557161003786109417020305390640', '2157064323659229765706184608778'], 'label': '8-912e4-1.1-c1e4-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/912/2/k/h'}