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lfunc_lfunctions • Show schema
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{'Lhash': '169209384284351586151762016772', 'a10': [1.618033988749895, 4.908015410677775e-61], 'a2': [-0.6045284632676535, -0.1284964915838347], 'a3': [0.0, 0.0], 'a4': [-1.4781476007338057, -0.6581137129666793], 'a5': [-2.5608236647352647, 0.5443198732193534], 'a6': [0.0, 0.0], 'a7': [-0.3135853898029604, -2.98356568610482], 'a8': [1.8090169943749475, 1.314327780297834], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.1146708200960855, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [1.6254258078264694, 2.89101901468179]]]], 'bad_primes': [3, 11], 'central_character': '891.379', 'coefficient_field': 'CDF', 'conductor': 891, 'conductor_radical': 33, 'conjugate': '1338761760606320757834917774571', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6045284632676535, 0.1284964915838347], [1.8270909152852017, 0.8134732861516004]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.1146708200960855, 'bad_primes': [3, 11], 'central_character': '99.16', 'conductor': 891, 'conductor_radical': 33, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/891/2/n/a/379/1'], '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': '2-891-99.16-c1-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-891-99.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.66733402859411, 'root_angle': -0.263123029759899, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.13348266805844364110315596623', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '169209384284351586151762016772', 'Lhash_array': ['169209384284351586151762016772'], 'factors': ['2-891-99.16-c1-0-2'], 'label': '2-891-99.16-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/891/2/n/a/379/1'}