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lfunc_lfunctions • Show schema
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{'Lhash': '2346990671630538240810464115606', 'a10': [0.0, 0.0], 'a2': [2.335687125499954, 0.7589107513125553], 'a3': [0.5877852522924731, 0.8090169943749475], 'a4': [3.2614548310185567, 2.369585637903519], 'a5': [0.0, 0.0], 'a6': [0.7589107513125553, 2.335687125499954], 'a7': [1.931957068791188, -2.6591107806106744], 'a8': [2.9323659811598453, 4.036055520673124], 'a9': [-0.30901699437494745, 0.9510565162951535], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.587658166755635, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.5877852522924731, -0.8090169943749475]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-2.968127774985622, 1.4799383471479144]]]], 'bad_primes': [3, 5, 11], 'central_character': '825.724', 'coefficient_field': 'CDF', 'conductor': 825, 'conductor_radical': 165, 'conjugate': '2492461607606682908613036007697', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.335687125499954, -0.7589107513125553], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.587658166755635, 'bad_primes': [3, 5, 11], 'central_character': '55.9', 'conductor': 825, 'conductor_radical': 165, 'degree': 2, 'index': 34, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/825/2/bx/h/724/4'], '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': '2-825-55.9-c1-0-34', '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': '2-825-55.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.566643365712431, 'root_angle': -0.1571057980045495, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.85144918576773686790440130739', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2346990671630538240810464115606', 'Lhash_array': ['2346990671630538240810464115606'], 'label': '2-825-55.9-c1-0-34', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/825/2/bx/h/724/4'}