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lfunc_lfunctions • Show schema
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{'Lhash': '1670381994301921550096872034758', 'a10': [8.75055098295595, -1.8578170708866129e-60], 'a2': [-0.788593565641709, -2.4270414344978204], 'a3': [0.0, 0.0], 'a4': [-3.6506163242478387, 2.652328012996663], 'a5': [-1.05961207421231, 3.2611506365953495], 'a6': [0.0, 0.0], 'a7': [-0.8090169943749475, 0.5877852522924731], 'a8': [5.187033013031676, 3.768600078135298], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.533632860074733, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0.8090169943749475, -0.5877852522924731]]], [11, [[1.0, 0], [-0.0297702658931196, 3.316491177625632]]]], 'bad_primes': [3, 7, 11], 'central_character': '693.379', 'coefficient_field': 'CDF', 'conductor': 693, 'conductor_radical': 231, 'conjugate': '447116313227808390268591488716', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.788593565641709, 2.4270414344978204], [-1.618033988749895, 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'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.82105017990052784531075318613', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.533632860074733, 'bad_primes': [3, 7, 11], 'central_character': '11.5', 'conductor': 693, 'conductor_radical': 231, 'degree': 2, 'index': 15, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/693/2/m/i/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': '2-693-11.5-c1-0-15', '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': '2-693-11.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.352367501066688, 'root_angle': -0.4912885245141552, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.31769905208989281753633268975', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1670381994301921550096872034758', 'Lhash_array': ['1670381994301921550096872034758'], 'label': '2-693-11.5-c1-0-15', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/693/2/m/i/379/1'}