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lfunc_lfunctions • Show schema
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{'Lhash': '1050752982767697281499742560203', 'a10': [1.6496778812305681, 5.0360580398369015], 'a2': [0, -0.47399002261589657], 'a3': [0, 0], 'a4': [7.775333458460582, 0], 'a5': [-10.624818666104984, 3.4804063429989203], 'a6': [0, 0], 'a7': [0, -8.20657084539417], 'a8': [0, -7.477350662749041], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.89577355232496, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [10.624818666104984, -3.4804063429989203]]]], 'bad_primes': [3, 5], 'central_character': '405.244', 'coefficient_field': 'CDF', 'conductor': 405, 'conductor_radical': 15, 'conjugate': '1420066007754663348577614444797', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0.47399002261589657], [-8.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [10.624818666104984, -3.4804063429989203]], [[1.0, 0], [0, 8.20657084539417], [-343.0, 0]], [[1.0, 0], [5.26582882949711, 0], [1331.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 23.89577355232496, 'bad_primes': [3, 5], 'central_character': '5.4', 'conductor': 405, 'conductor_radical': 15, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/405/4/b/f/244/8'], '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': '2-405-5.4-c3-0-22', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-405-5.4-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.8883303440259604, 'root_angle': -0.050381698715430884, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.828897949149803896013174363248', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1050752982767697281499742560203', 'Lhash_array': ['1050752982767697281499742560203'], 'label': '2-405-5.4-c3-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/405/4/b/f/244/8'}