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lfunc_lfunctions • Show schema
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{'Lhash': '615564377374751613158444727058', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [21.5882353143103, 51.56498905278625], 'a6': [0, 0], 'a7': [168.7587014440322, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 115.47635026534608, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-21.5882353143103, -51.56498905278625]]]], 'bad_primes': [2, 3, 5], 'central_character': '720.719', 'coefficient_field': 'CDF', 'conductor': 720, 'conductor_radical': 30, 'conjugate': '1765374367494856271134660478899', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-21.5882353143103, -51.56498905278625]], [[1.0, 0], [-168.7587014440322, 0], [16807.0, 0]], [[1.0, 0], [-307.48007213465416, 0], [161051.0, 0]], [[1.0, 0], [0, -191.3357295484223], [-371293.0, 0]], [[1.0, 0], [1131.5212850474431, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 115.47635026534608, 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'conductor': 720, 'conductor_radical': 30, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/720/6/o/d/719/24'], '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': '2-720-60.59-c5-0-22', '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': '2-720-60.59-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 10.745992288539298, 'root_angle': -0.32772648714852826, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.48559467195765507609712106917', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '615564377374751613158444727058', 'Lhash_array': ['615564377374751613158444727058'], 'label': '2-720-60.59-c5-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/720/6/o/d/719/24'}