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lfunc_lfunctions • Show schema
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{'Lhash': '2343415090930002915870835008141', 'a10': [4750.5820600533925, 0.0], 'a2': [17.69609259585807, 0.0], 'a3': [0.5547487511444817, 0.0], 'a4': [185.1516931611828, 0.0], 'a5': [268.453729789214, 0.0], 'a6': [9.816885267689376, 0.0], 'a7': [1091.4266910739934, 0.0], 'a8': [1011.3616541903593, 0.0], 'a9': [-2186.692253823104, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 14.68209619775373, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[47, [[1.0, 0], [103823.0, 0]]]], 'bad_primes': [47], 'central_character': '47.1', 'coefficient_field': 'CDF', 'conductor': 47, 'conductor_radical': 47, 'conjugate': '2343415090930002915870835008141', 'degree': 2, 'euler_factors': [[[1.0, 0], [-17.69609259585807, 0], [128.0, 0]], [[1.0, 0], [-0.5547487511444817, 0], [2187.0, 0]], [[1.0, 0], [-268.453729789214, 0], [78125.0, 0]], [[1.0, 0], [-1091.4266910739934, 0], [823543.0, 0]], [[1.0, 0], [-651.5407400330635, 0], [19487171.0, 0]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 14.68209619775373, 'bad_primes': [47], 'central_character': '1.1', 'conductor': 47, 'conductor_radical': 47, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/47/8/a/b/1/14'], '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': '2-47-1.1-c7-0-16', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-47-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.8317223539491647, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.84862854993962179194203577397', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2343415090930002915870835008141', 'Lhash_array': ['2343415090930002915870835008141'], 'label': '2-47-1.1-c7-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/47/8/a/b/1/14'}