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lfunc_lfunctions • Show schema
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{'Lhash': '3617859851281736838740241621450', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.9149812523341416, -3.9149812523341416], 'a4': [0.0, 0.0], 'a5': [4.723483613648731, 4.723483613648731], 'a6': [0.0, 0.0], 'a7': [-45.371192094537115, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, -50.34584358774439], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.615677637366039, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '64.15', 'coefficient_field': 'CDF', 'conductor': 64, 'conductor_radical': 2, 'conjugate': '15426575663479316484750593943', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.9149812523341416, 3.9149812523341416], [0, 81.0]], [[1.0, 0], [-4.723483613648731, -4.723483613648731], [0, 625.0]], [[1.0, 0], [45.371192094537115, 0], [2401.0, 0]], [[1.0, 0], [110.22780986149245, -110.22780986149245], [0, -14641.0]], [[1.0, 0], [157.1284348373802, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.615677637366039, 'bad_primes': [2], 'central_character': '16.11', 'conductor': 64, 'conductor_radical': 2, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/64/5/f/a/15/3'], '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': '2-2e6-16.11-c4-0-6', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-2e6-16.11-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.5720959619279444, 'root_angle': -0.46376772196040444, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '2.85398819724486607003885053364', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3617859851281736838740241621450', 'Lhash_array': ['3617859851281736838740241621450'], 'label': '2-2e6-16.11-c4-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/64/5/f/a/15/3'}