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lfunc_lfunctions • Show schema
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{'Lhash': '3316131849270857922845877981256', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.26548501572914274, -1.7115833916065255], 'a4': [0.0, 0.0], 'a5': [0.601308134388038, -1.6520805213655199], 'a6': [0.0, 0.0], 'a7': [-3.316948104901396, -0.5848674445039279], 'a8': [0.0, 0.0], 'a9': [-2.859035412846594, -0.9087994872847959], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.4495373673193144, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.26548501572914274, 1.7115833916065255]]]], 'bad_primes': [2, 3], 'central_character': '432.335', 'coefficient_field': 'CDF', 'conductor': 432, 'conductor_radical': 6, 'conjugate': '755742989537311265032590955906', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.26548501572914274, 1.7115833916065255]], [[1.0, 0], [-0.601308134388038, 1.6520805213655199], [-3.83022221559489, -3.2139380484326967]], [[1.0, 0], [3.316948104901396, 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{'__RealLiteral__': 0, 'data': '4.63443801298924821624447732029', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.4495373673193144, 'bad_primes': [2, 3], 'central_character': '108.11', 'conductor': 432, 'conductor_radical': 6, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/432/2/be/a/335/4'], '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': '2-432-108.11-c1-0-17', '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': '2-432-108.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.857293021394124, 'root_angle': 0.4160670139853523, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.61596677244803685813330593183', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3316131849270857922845877981256', 'Lhash_array': ['3316131849270857922845877981256'], 'label': '2-432-108.11-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/432/2/be/a/335/4'}