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lfunc_lfunctions • Show schema
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{'Lhash': '1735511172086055549112727894217', 'a10': [12.529213512577472, 0.0], 'a2': [-2.771598168117427, 0.0], 'a3': [7.633063814486109, 0.0], 'a4': [-0.318243594488123, 0.0], 'a5': [-4.520573601435082, 0.0], 'a6': [-21.155785685353116, 0.0], 'a7': [2.7928272849257607, 0.0], 'a8': [23.054828708437803, 0.0], 'a9': [31.26366319601722, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 92.81000443903002, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [-13.0, 0]]]], 'bad_primes': [11, 13], 'central_character': '1573.1', 'coefficient_field': 'CDF', 'conductor': 1573, 'conductor_radical': 143, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.771598168117427, 0], [8.0, 0]], [[1.0, 0], [-7.633063814486109, 0], [27.0, 0]], [[1.0, 0], [4.520573601435082, 0], [125.0, 0]], [[1.0, 0], [-2.7928272849257607, 0], [343.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-13.0, 0]], [[1.0, 0], [56.18143577312222, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 92.81000443903002, 'bad_primes': [11, 13], 'central_character': '1.1', 'conductor': 1573, 'conductor_radical': 143, 'degree': 2, 'index': 243, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1573/4/a/o/1/9'], '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': '2-1573-1.1-c3-0-243', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-1573-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.633794913689519, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.36907691423298497580830275081', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1735511172086055549112727894217', 'Lhash_array': ['1735511172086055549112727894217'], 'label': '2-1573-1.1-c3-0-243', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1573/4/a/o/1/9'}