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lfunc_lfunctions • Show schema
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{'Lhash': '1304669383979797673715162869850', 'a10': [-4.339744259091209, 1.7373715214738288], 'a2': [1.8617269585910377, 1.7751530694865376], 'a3': [0.0, 0.0], 'a4': [0.21969501658967427, 4.611965971811418], 'a5': [-0.754899617080318, 1.6529995871237646], 'a6': [0.0, 0.0], 'a7': [-0.5617355159465028, 2.3155053341050396], 'a8': [-4.408817640715206, 5.088046790196547], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.81497924188321, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [67, [[1.0, 0], [2.01453063419049, 7.933578405984783]]]], 'bad_primes': [3, 67], 'central_character': '603.10', 'coefficient_field': 'CDF', 'conductor': 603, 'conductor_radical': 201, 'conjugate': '3755663418306493576428966833829', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.8617269585910377, -1.7751530694865376], [0.0951638316474846, 1.997734678366016]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.754899617080318, 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{'__RealLiteral__': 0, 'data': '-0.462448320921', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.02920267126044303062262091477', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.31244548604470769802628424975', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.88710763707655495666792372330', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.81497924188321, 'bad_primes': [3, 67], 'central_character': '67.10', 'conductor': 603, 'conductor_radical': 201, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/603/2/z/c/10/5'], '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': '2-603-67.10-c1-0-11', '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': '2-603-67.10-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.194306095758568, 'root_angle': -0.46244832092073657, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.02920267126044303062262091477', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1304669383979797673715162869850', 'Lhash_array': ['1304669383979797673715162869850'], 'label': '2-603-67.10-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/603/2/z/c/10/5'}