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lfunc_lfunctions • Show schema
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{'Lhash': '1669234136104128675434354090284', 'a10': [-0.7071067811865476, 1.224744871391589], 'a2': [0.7071067811865476, 1.224744871391589], 'a3': [-0.7071067811865476, -1.224744871391589], 'a4': [-0.5, 0.8660254037844386], 'a5': [0.5, 0.8660254037844386], 'a6': [1.0, -1.7320508075688772], 'a7': [0.0, 0.0], 'a8': [1.6802385325461643e-79, 2.1513358700666244e-79], 'a9': [-0.5, 0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.9008123478025694, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-0.5, -0.8660254037844386]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 19], 'central_character': '1805.69', 'coefficient_field': 'CDF', 'conductor': 1805, 'conductor_radical': 95, 'conjugate': '1705949572383007774648384429443', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.7071067811865476, -1.224744871391589], [-0.5, 0.8660254037844386]], [[1.0, 0], [0.7071067811865476, 1.224744871391589], [-0.5, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.9008123478025694, 'bad_primes': [5, 19], 'central_character': '95.69', 'conductor': 1805, 'conductor_radical': 95, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1805/1/h/b/69/2'], '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': '2-1805-95.69-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-1805-95.69-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.9491113463669947, 'root_angle': -0.13279002263552828, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.31679355163291657121485635824', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1669234136104128675434354090284', 'Lhash_array': ['1669234136104128675434354090284'], 'label': '2-1805-95.69-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1805/1/h/b/69/2'}