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lfunc_lfunctions • Show schema
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{'Lhash': '782958607639946532109179287910', 'a10': [0.0, 0.0], 'a2': [-7.203456162365796, 0.0], 'a3': [-12.430586395733503, 0.0], 'a4': [-12.110219316874243, 0.0], 'a5': [0.0, 0.0], 'a6': [89.54318417416692, 0.0], 'a7': [-621.4935428522955, 0.0], 'a8': [548.25662835715, 0.0], 'a9': [-574.4805218582052, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.812541930132998, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 10}, 'bad_lfactors': [[47, [[1.0, 0], [103823.0, 0]]]], 'bad_primes': [47], 'central_character': '47.46', 'coefficient_field': 'CDF', 'conductor': 47, 'conductor_radical': 47, 'conjugate': '782958607639946532109179287910', 'degree': 2, 'euler_factors': [[[1.0, 0], [7.203456162365796, 0], [64.0, 0]], [[1.0, 0], [12.430586395733503, 0], [729.0, 0]], [[1.0, 0], [0, 0], [-15625.0, 0]], [[1.0, 0], [621.4935428522955, 0], [117649.0, 0]], [[1.0, 0], [0, 0], [-1771561.0, 0]], [[1.0, 0], [0, 0], [-4826809.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.812541930132998, 'bad_primes': [47], 'central_character': '47.46', 'conductor': 47, 'conductor_radical': 47, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/47/7/b/a/46/2'], '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': '2-47-47.46-c6-0-7', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-47-47.46-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.288242985263254, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.61764543597343123090841652923', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '782958607639946532109179287910', 'Lhash_array': ['782958607639946532109179287910'], 'label': '2-47-47.46-c6-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/47/7/b/a/46/2'}