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lfunc_lfunctions • Show schema
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{'Lhash': '1084729618286743009150816953561', 'a10': [212.59988662135163, 0.0], 'a2': [-5.082762530298219, 0.0], 'a3': [-2.08276253029822, 0.0], 'a4': [-6.16552506059644, 0.0], 'a5': [-41.8276253029822, 0.0], 'a6': [10.586187348508902, 0.0], 'a7': [0.0, 0.0], 'a8': [193.98630072715727, 0.0], 'a9': [-238.66210024238575, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.8588071708360525, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]]], 'bad_primes': [7], 'central_character': '49.1', 'coefficient_field': 'CDF', 'conductor': 49, 'conductor_radical': 7, 'conjugate': '1084729618286743009150816953561', 'degree': 2, 'euler_factors': [[[1.0, 0], [5.082762530298219, 0], [32.0, 0]], [[1.0, 0], [2.08276253029822, 0], [243.0, 0]], [[1.0, 0], [41.8276253029822, 0], [3125.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-72.09646180314094, 0], [161051.0, 0]], [[1.0, 0], [-632.3173508483502, 0], [371293.0, 0]], [[1.0, 0], 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'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.8588071708360525, 'bad_primes': [7], 'central_character': '1.1', 'conductor': 49, 'conductor_radical': 7, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/49/6/a/e/1/1'], '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': '2-7e2-1.1-c5-0-1', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-7e2-1.1-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.8033564116672807, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '0.855700788601722691022264992956', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1084729618286743009150816953561', 'Lhash_array': ['1084729618286743009150816953561'], 'label': '2-7e2-1.1-c5-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/49/6/a/e/1/1'}