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lfunc_lfunctions • Show schema
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{'Lhash': '1454702705321361838275283654064', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0.17119249737423692, -0.17119249737423692], 'a4': [0, 0], 'a5': [-0.26842454644418384, -0.26842454644418384], 'a6': [0, 0], 'a7': [0, 1.0], 'a8': [0, 0], 'a9': [0, 2.9413862576855436], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.309192042213452, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [0, -1.0]]]], 'bad_primes': [2, 7], 'central_character': '1792.449', 'coefficient_field': 'CDF', 'conductor': 1792, 'conductor_radical': 14, 'conjugate': '805205344822750527560450136099', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.17119249737423692, 0.17119249737423692], [0, -3.0]], [[1.0, 0], [0.26842454644418384, 0.26842454644418384], [0, 5.0]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [1.8492749126021313, 1.8492749126021313], [0, 11.0]], [[1.0, 0], [-1.6357370719346223, 1.6357370719346223], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.309192042213452, 'bad_primes': [2, 7], 'central_character': '16.5', 'conductor': 1792, 'conductor_radical': 14, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1792/2/m/h/449/5'], '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': '2-1792-16.5-c1-0-30', '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': '2-1792-16.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.7827492703341377, 'root_angle': 0.14583333333333334, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.14755809294726428681470384519', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1454702705321361838275283654064', 'Lhash_array': ['1454702705321361838275283654064'], 'label': '2-1792-16.5-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1792/2/m/h/449/5'}