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lfunc_lfunctions • Show schema
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{'Lhash': '2499943903945781981678716210386', 'a10': [-0.3651241855450662, -0.8814877606933292], 'a2': [0.4539904997395468, 0.8910065241883679], 'a3': [3.078953226150303, -0.7391912697998847], 'a4': [-0.5877852522924731, 0.8090169943749475], 'a5': [-0.9511742572325507, -0.07485903753184041], 'a6': [2.0564397578294473, 2.4077815981911836], 'a7': [-0.055372962210506284, 0.23064498676464718], 'a8': [-0.9876883405951378, -0.15643446504023087], 'a9': [6.26052966290789, -3.1898991905663476], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.986405035595888, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.4539904997395468, -0.8910065241883679]]], [11, [[1.0, 0], [-2.3381710464897223, 2.3522236622730324]]], [17, [[1.0, 0], [-0.2776289925557432, -4.113747943480797]]]], 'bad_primes': [2, 11, 17], 'central_character': '374.9', 'coefficient_field': 'CDF', 'conductor': 374, 'conductor_radical': 374, 'conjugate': 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0.45896607787511656*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0758900291671', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.97210801106841976063886770373', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.03914965714347359288255402001', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.05678204970361866006600686551', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.986405035595888, 'bad_primes': [2, 11, 17], 'central_character': '187.9', 'conductor': 374, 'conductor_radical': 374, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/374/2/r/b/9/10'], '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': '2-374-187.9-c1-0-12', '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': '2-374-187.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7281218231351307, 'root_angle': -0.07589002916713754, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.97210801106841976063886770373', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2499943903945781981678716210386', 'Lhash_array': ['2499943903945781981678716210386'], 'label': '2-374-187.9-c1-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/374/2/r/b/9/10'}