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lfunc_lfunctions • Show schema
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{'Lhash': '2343748521254136467919827236953', 'a10': [-44.81279924539892, 0.0], 'a2': [-4.643067757202082, 0.0], 'a3': [22.57259685990951, 0.0], 'a4': [-10.441921802030429, 0.0], 'a5': [9.651549705663388, 0.0], 'a6': [-104.8060966765668, 0.0], 'a7': [199.09113205183266, 0.0], 'a8': [197.06071867269958, 0.0], 'a9': [266.5221289999966, 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': '2343748521254136467919827236953', 'degree': 2, 'euler_factors': [[[1.0, 0], [4.643067757202082, 0], [32.0, 0]], [[1.0, 0], [-22.57259685990951, 0], [243.0, 0]], [[1.0, 0], [-9.651549705663388, 0], [3125.0, 0]], [[1.0, 0], [-199.09113205183266, 0], [16807.0, 0]], [[1.0, 0], [-201.24689238318967, 0], [161051.0, 0]], [[1.0, 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'7.64345664114657756060347485032', 'prec': 103}}
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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': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/23/6/a/b/1/3'], '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': '2-23-1.1-c5-0-2', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-23-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9206321500221106, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.84889158008694592119018416212', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2343748521254136467919827236953', 'Lhash_array': ['2343748521254136467919827236953'], 'label': '2-23-1.1-c5-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/23/6/a/b/1/3'}