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lfunc_lfunctions • Show schema
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{'Lhash': '1694063691018428787506424425332', 'a10': [-0.7071067811865476, -0.7071067811865476], 'a2': [0.0, 1.0], 'a3': [0.2928932188134525, -0.2928932188134525], 'a4': [-1.0, 0.0], 'a5': [-0.7071067811865476, 0.7071067811865476], 'a6': [0.2928932188134525, 0.2928932188134525], 'a7': [2.414213562373095, 2.414213562373095], 'a8': [0.0, -1.0], 'a9': [0.0, 2.8284271247461903], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.3574568343617672, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, -1.0]]], [5, [[1.0, 0], [0.7071067811865476, -0.7071067811865476]]], [17, [[1.0, 0], [-0.12132034355964258, 4.121320343559643]]]], 'bad_primes': [2, 5, 17], 'central_character': '170.21', 'coefficient_field': 'CDF', 'conductor': 170, 'conductor_radical': 170, 'conjugate': '2988522941952222185586298291781', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -1.0]], [[1.0, 0], [-0.2928932188134525, 0.2928932188134525], [0, -3.0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.3574568343617672, 'bad_primes': [2, 5, 17], 'central_character': '17.4', 'conductor': 170, 'conductor_radical': 170, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/170/2/h/a/21/1'], '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': '2-170-17.4-c1-0-1', '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': '2-170-17.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.1650994954774323, 'root_angle': -0.22582148590088838, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.33638061679884617982481031307', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1694063691018428787506424425332', 'Lhash_array': ['1694063691018428787506424425332'], 'label': '2-170-17.4-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/170/2/h/a/21/1'}