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lfunc_lfunctions • Show schema
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{'Lhash': '1890978775647477547150617781955', 'a10': [-5.609516979945708, 0.023649433110943613], 'a2': [-2.054985887880812, -1.438916609608718], 'a3': [0.0, 0.0], 'a4': [1.4684457033301035, 4.03452141159462], 'a5': [1.8262562356023642, -1.2902667018579848], 'a6': [0.0, 0.0], 'a7': [-1.1421729047523461, -2.449397698659911], 'a8': [1.4891191693621983, -5.557468398584488], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.233941281861857, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-1.8262562356023642, 1.2902667018579848]]]], 'bad_primes': [3, 5], 'central_character': '405.152', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '1113057992883040469714402747865', 'degree': 2, 'euler_factors': [[[1.0, 0], [2.054985887880812, 1.438916609608718], [0.6840402866513374, 1.8793852415718169]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.8262562356023642, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.233941281861857, 'bad_primes': [3, 5], 'central_character': '135.122', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/2/r/a/152/1'], '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': '2-405-135.122-c1-0-7', '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': '2-405-135.122-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7983162352216746, 'root_angle': 0.3244973832067339, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.49171922871098973201352554945', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1890978775647477547150617781955', 'Lhash_array': ['1890978775647477547150617781955'], 'factors': ['2-405-135.122-c1-0-7'], 'label': '2-405-135.122-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/2/r/a/152/1'}