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lfunc_lfunctions • Show schema
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{'Lhash': '4984241488041491866992433630986', 'a10': [0.975769248229062, -1.690081914396023], 'a2': [0.0, -2.3032665137821264], 'a3': [0.7366804631721601, -1.2759679911575545], 'a4': [-3.305036633510071, 0.0], 'a5': [0.7337760976782444, 0.4236458275194475], 'a6': [-2.9388943466910438, -1.6967714421819435], 'a7': [-0.35777731568650534, 2.621449101619209], 'a8': [0.0, 3.0058471772227042], 'a9': [0.41460379036090333, 0.7181148299157201], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0.35777731568650534, -2.621449101619209]]], [13, [[1.0, 0], [2.9232860268708456, 2.1105446702454955]]]], 'bad_primes': [7, 13], 'central_character': '91.23', 'coefficient_field': 'CDF', 'conductor': 91, 'conductor_radical': 91, 'conjugate': '2449301520408714547769579124212', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 2.3032665137821264], [-2.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'bad_primes': [7, 13], 'central_character': '91.23', 'conductor': 91, 'conductor_radical': 91, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/91/2/k/b/23/1'], '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': '2-91-91.23-c1-0-6', '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': '2-91-91.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8524310285258578, 'root_angle': 0.36306603958823364, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.93187325209653416162588145160', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4984241488041491866992433630986', 'Lhash_array': ['4984241488041491866992433630986'], 'label': '2-91-91.23-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/91/2/k/b/23/1'}