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{'algebraic': True, 'analytic_conductor': 9105468.975801215, 'bad_primes': [2, 3, 7], 'central_character': '1.1', 'conductor': 16518176833536, 'conductor_radical': 42, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -504, 0, 0, 0], 'euler11': [1, 0, -232, 0, 42738, 0, -3396712, 0, 214358881], 'euler13': [1, -56, 1852, -39368, 607270, -6653192, 52894972, -270301304, 815730721], 'euler17': [1, 0, -1092, 0, 465158, 0, -91204932, 0, 6975757441], 'euler19': [1, 0, 548, 0, 335718, 0, 71415908, 0, 16983563041], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -1864, 0, 1428306, 0, -521623624, 0, 78310985281], 'euler29': [1, 0, -2464, 0, 2932386, 0, -1742740384, 0, 500246412961], 'euler3': [1, 0, 0, 0, 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'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2016/3/d/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': '8-2016e4-1.1-c2e4-0-6', 'motivic_weight': 2, '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': [2, 2, 2, 2], 'order_of_vanishing': 0, 'prelabel': '8-2016e4-1.1-c2e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.411613946707955, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e4-0', 'trace_hash': 1606941560666891758, 'z1': {'__RealLiteral__': 0, 'data': '0.29712121738179478302216977119', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '376645889554574383389942196445,835033873818586243210712159443,1346241048919492062166292695525,1717033670354948551762225131478', 'Lhash_array': ['376645889554574383389942196445', '835033873818586243210712159443', '1346241048919492062166292695525', '1717033670354948551762225131478'], 'factors': ['2-2016-3.2-c2-0-7', '2-2016-3.2-c2-0-19', '2-2016-3.2-c2-0-35', '2-2016-3.2-c2-0-38'], 'label': '8-2016e4-1.1-c2e4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2016/3/d/c'}