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lfunc_lfunctions • Show schema
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{'Lhash': '379093033890222991765918586376', 'a10': [3.4375051412158495, 0.0], 'a2': [-2.6187557094417193, 0.0], 'a3': [-0.9012439953660825, 0.0], 'a4': [4.857881465733603, 0.0], 'a5': [-1.312648266053299, 0.0], 'a6': [2.3601378584649946, 0.0], 'a7': [-2.243878773996194, 0.0], 'a8': [-7.484093405297541, 0.0], 'a9': [-2.1877592608165806, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 63.968157059247744, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [], 'bad_primes': [8011], 'central_character': '8011.1', 'coefficient_field': 'CDF', 'conductor': 8011, 'conductor_radical': 8011, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.6187557094417193, 0], [2.0, 0]], [[1.0, 0], [0.9012439953660825, 0], [3.0, 0]], [[1.0, 0], [1.312648266053299, 0], [5.0, 0]], [[1.0, 0], [2.243878773996194, 0], [7.0, 0]], [[1.0, 0], [-5.258361685254893, 0], [11.0, 0]], [[1.0, 0], [1.4699821045386163, 0], [13.0, 0]], [[1.0, 0], [0.05848395329982689, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 63.968157059247744, 'bad_primes': [8011], 'central_character': '1.1', 'conductor': 8011, 'conductor_radical': 8011, 'degree': 2, 'index': 67, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8011/2/a/b/1/13'], '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': '2-8011-1.1-c1-0-67', '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': '2-8011-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.998009568589409, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.29905167387762101577535787042', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '379093033890222991765918586376', 'Lhash_array': ['379093033890222991765918586376'], 'label': '2-8011-1.1-c1-0-67', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8011/2/a/b/1/13'}