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lfunc_lfunctions • Show schema
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{'Lhash': '1013469681951694948493057153464', 'a10': [130551057741.63377, 0.0], 'a2': [-121.10195150320249, 0.0], 'a3': [-1594323.0, 0.0], 'a4': [-134203062.31734212, 0.0], 'a5': [-1078026044.3464563, 0.0], 'a6': [193075626.6264403, 0.0], 'a7': [-11390388682.611603, 0.0], 'a8': [32506281531.462048, 0.0], 'a9': [2541865828329.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.855667245141532, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '13.5', 'prec': 14}, 'bad_lfactors': [[3, [[1.0, 0], [1594323.0, 0]]]], 'bad_primes': [3], 'central_character': '3.1', 'coefficient_field': 'CDF', 'conductor': 3, 'conductor_radical': 3, 'conjugate': '1013469681951694948493057153464', 'degree': 2, 'euler_factors': [[[1.0, 0], [121.10195150320249, 0], [134217728.0, 0]], [[1.0, 0], [1594323.0, 0]], [[1.0, 0], [1078026044.3464563, 0], [7450580596923828000, 0]], [[1.0, 0], [11390388682.611603, 0], [65712362363534280000000, 0]], [[1.0, 0], [50574931331491.67, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.855667245141532, 'bad_primes': [3], 'central_character': '1.1', 'conductor': 3, 'conductor_radical': 3, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3/28/a/b/1/1'], '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': '2-3-1.1-c27-0-0', 'motivic_weight': 27, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [27], 'order_of_vanishing': 0, 'prelabel': '2-3-1.1-c27-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.7223201427525727, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c27-0', 'z1': {'__RealLiteral__': 0, 'data': '0.799486610718465007490355893782', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1013469681951694948493057153464', 'Lhash_array': ['1013469681951694948493057153464'], 'label': '2-3-1.1-c27-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3/28/a/b/1/1'}