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lfunc_lfunctions • Show schema
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{'Lhash': '386363770319735273515142724246', 'a10': [-1082.4935230697095, 9.522586831716633e-59], 'a2': [1.342935070880408, 0.7753439246769926], 'a3': [-44.13165725716106, 67.92199075215967], 'a4': [-126.79768359693296, -219.62003027193072], 'a5': [-604.5490656298314, 349.0365657797199], 'a6': [-111.92885314836934, 56.99761112482281], 'a7': [-1124.4538462335556, 1947.61119244276], 'a8': [0.0, -790.2233439946104], 'a9': [-2665.793655472927, -5995.020032196748], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.6664074905501463, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [44.13165725716106, -67.92199075215967]]]], 'bad_primes': [3], 'central_character': '9.2', 'coefficient_field': 'CDF', 'conductor': 9, 'conductor_radical': 3, 'conjugate': '5288984248836272879106957249847', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.342935070880408, -0.7753439246769926], [128.0, 221.70250336881628]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.6664074905501463, 'bad_primes': [3], 'central_character': '9.2', 'conductor': 9, 'conductor_radical': 3, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9/9/d/a/2/4'], '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': '2-3e2-9.2-c8-0-0', 'motivic_weight': 8, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [8], 'order_of_vanishing': 0, 'prelabel': '2-3e2-9.2-c8-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9147865391604741, 'root_angle': -0.45548106885389367, 'self_dual': False, 'spectral_label': 'c8-0', 'z1': {'__RealLiteral__': 0, 'data': '0.30478727359902946164962514141', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '386363770319735273515142724246', 'Lhash_array': ['386363770319735273515142724246'], 'label': '2-3e2-9.2-c8-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9/9/d/a/2/4'}