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lfunc_lfunctions • Show schema
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{'Lhash': '928617858119716733994784016590', 'a10': [-7.821652105753246, -5.154483281621374], 'a2': [1.669984737285726, 1.1005230471156544], 'a3': [0.0, -1.7320508075688772], 'a4': [1.5776980455345506, 3.6757133834286453], 'a5': [-4.683666821090833, 0.0], 'a6': [1.9061618325048306, -2.892498412843441], 'a7': [0.0, 5.3156705994080715], 'a8': [-1.410475636966464, 7.8746783094628094], 'a9': [-3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.5204552963441955, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.669984737285726, -1.1005230471156544]]], [3, [[1.0, 0], [0, 1.7320508075688772]]], [23, [[1.0, 0], [0, -4.795831523312719]]]], 'bad_primes': [2, 3, 23], 'central_character': '276.139', 'coefficient_field': 'CDF', 'conductor': 276, 'conductor_radical': 138, 'conjugate': '2821148274763965445738763265438', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.669984737285726, -1.1005230471156544]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.5204552963441955, 'bad_primes': [2, 3, 23], 'central_character': '4.3', 'conductor': 276, 'conductor_radical': 138, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/276/3/f/b/139/34'], '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': '2-276-4.3-c2-0-11', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-276-4.3-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.742344853650648, 'root_angle': -0.31452801985013706, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.73255032416071685048338058450', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '928617858119716733994784016590', 'Lhash_array': ['928617858119716733994784016590'], 'label': '2-276-4.3-c2-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/276/3/f/b/139/34'}