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lfunc_lfunctions • Show schema
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{'Lhash': '2023116400144086835643676885493', 'a10': [1.9684554896984912, 2.468365110536323], 'a2': [-0.2707263090383973, 1.1861294600503187], 'a3': [0.32459618044378596, -0.40703073603331374], 'a4': [0.46832737421113163, 0.22553457671285654], 'a5': [1.617953406800288, -2.028849400313811], 'a6': [0.3949144212955705, 0.49520702107566483], 'a7': [0.0, 0.0], 'a8': [-1.9114182698806172, 2.39684269911416], 'a9': [0.6072514621518169, 2.660542492066198], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.7388687893299184, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]]], 'bad_primes': [7], 'central_character': '343.99', 'coefficient_field': 'CDF', 'conductor': 343, 'conductor_radical': 7, 'conjugate': '2086168826489778601242639836572', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.2707263090383973, -1.1861294600503187], [-1.8019377358048383, -0.8677674782351162]], [[1.0, 0], [-0.32459618044378596, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.7388687893299184, 'bad_primes': [7], 'central_character': '49.15', 'conductor': 343, 'conductor_radical': 7, 'degree': 2, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/343/2/e/d/99/3'], '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': '2-7e3-49.15-c1-0-9', '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': '2-7e3-49.15-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6549528057711853, 'root_angle': -0.12264427294532909, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.59595743478513907971837890987', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2023116400144086835643676885493', 'Lhash_array': ['2023116400144086835643676885493'], 'label': '2-7e3-49.15-c1-0-9', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/343/2/e/d/99/3'}