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lfunc_lfunctions • Show schema
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{'Lhash': '1169605250942240110650585115339', 'a10': [-1.0803646044680124, 1.002431859259193], 'a2': [0.9829543388146594, -0.47336586101987593], 'a3': [0.0, 0.0], 'a4': [-0.5048556099019914, 0.6330689110636114], 'a5': [-1.2908502480903412, 0.39817456891859354], 'a6': [0.0, 0.0], 'a7': [-0.10816262176240109, 0.1873431563723338], 'a8': [-0.6821161482031607, 2.9885461129862563], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.090210558223552, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [43, [[1.0, 0], [-5.900916615161149, -2.859927114615876]]]], 'bad_primes': [3, 43], 'central_character': '387.100', 'coefficient_field': 'CDF', 'conductor': 387, 'conductor_radical': 129, 'conjugate': '2627223353621928072101935231994', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.9829543388146594, 0.47336586101987593], [1.246979603717467, -1.5636629649360596]], [[1.0, 0], [0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.090210558223552, 'bad_primes': [3, 43], 'central_character': '43.14', 'conductor': 387, 'conductor_radical': 129, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/387/2/y/c/100/2'], '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': '2-387-43.14-c1-0-5', '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': '2-387-43.14-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7578994732986162, 'root_angle': -0.15864993512794742, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.922655857009544204544903042382', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1169605250942240110650585115339', 'Lhash_array': ['1169605250942240110650585115339'], 'label': '2-387-43.14-c1-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/387/2/y/c/100/2'}