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lfunc_lfunctions • Show schema
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{'Lhash': '4704730422855120487569423764393', 'a10': [6.248936518642896, 0.0], 'a2': [-0.16450427362310177, 0.0], 'a3': [-1.43100045632921, 0.0], 'a4': [-31.972938343959736, 0.0], 'a5': [-37.98646917197987, 0.0], 'a6': [0.23540569062276384, 0.0], 'a7': [-43.83660866589438, 0.0], 'a8': [10.523821753808571, 0.0], 'a9': [-240.95223769398558, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.6888278556985554, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[23, [[1.0, 0], [529.0, 0]]]], 'bad_primes': [23], 'central_character': '23.1', 'coefficient_field': 'CDF', 'conductor': 23, 'conductor_radical': 23, 'conjugate': '4704730422855120487569423764393', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.16450427362310177, 0], [32.0, 0]], [[1.0, 0], [1.43100045632921, 0], [243.0, 0]], [[1.0, 0], [37.98646917197987, 0], [3125.0, 0]], [[1.0, 0], [43.83660866589438, 0], [16807.0, 0]], [[1.0, 0], [163.21326072075772, 0], [161051.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.6888278556985554, 'bad_primes': [23], 'central_character': '1.1', 'conductor': 23, 'conductor_radical': 23, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/23/6/a/a/1/2'], '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': '2-23-1.1-c5-0-7', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 1, 'prelabel': '2-23-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9206321500221106, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '3.71137790019432399643875222060', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4704730422855120487569423764393', 'Lhash_array': ['4704730422855120487569423764393'], 'label': '2-23-1.1-c5-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/23/6/a/a/1/2'}