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lfunc_lfunctions • Show schema
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{'Lhash': '945834875715833642307220126610', 'a10': [0.0, 0.0], 'a2': [0.8263518223330697, -0.3007674663608706], 'a3': [-0.09239626545204768, 0.5240052604587699], 'a4': [-0.9396926207859084, 0.7884957315214673], 'a5': [0.0, 0.0], 'a6': [0.08125191221488266, 0.46080249255343814], 'a7': [-0.9396926207859084, -1.6275953626987474], 'a8': [-1.4187480877851173, 2.457343771185013], 'a9': [2.553033419238747, 0.9292281716897705], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.79289409601082, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [2.520944533000791, -3.5559581917583656]]]], 'bad_primes': [5, 19], 'central_character': '475.176', 'coefficient_field': 'CDF', 'conductor': 475, 'conductor_radical': 95, 'conjugate': '2580701485908696209649540475924', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8263518223330697, 0.3007674663608706], [1.532088886237956, -1.2855752193730787]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.79289409601082, 'bad_primes': [5, 19], 'central_character': '19.5', 'conductor': 475, 'conductor_radical': 95, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/475/2/l/a/176/1'], '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': '2-475-19.5-c1-0-5', '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': '2-475-19.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9475353901818626, 'root_angle': -0.24138559053706776, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.74613215624679572340325425385', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '945834875715833642307220126610', 'Lhash_array': ['945834875715833642307220126610'], 'label': '2-475-19.5-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/475/2/l/a/176/1'}