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lfunc_lfunctions • Show schema
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{'Lhash': '2958997294036293932244029735244', 'a10': [-0.13397459621556135, -2.232050807568877], 'a2': [0.8660254037844386, 0.5], 'a3': [2.598076211353316, -1.5], 'a4': [0.5, 0.8660254037844386], 'a5': [-1.2320508075688772, -1.8660254037844386], 'a6': [3.0, 3.111507638930571e-61], 'a7': [0.0, 0.0], 'a8': [0.0, 1.0], 'a9': [3.0, -5.196152422706632], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.9126696990427408, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8660254037844386, -0.5]]], [5, [[1.0, 0], [1.2320508075688772, 1.8660254037844386]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '490.79', 'coefficient_field': 'CDF', 'conductor': 490, 'conductor_radical': 70, 'conjugate': '1984631499046246878613722532117', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.8660254037844386, -0.5]], [[1.0, 0], [-2.598076211353316, 1.5], [1.5, -2.598076211353316]], [[1.0, 0], [1.2320508075688772, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.9126696990427408, 'bad_primes': [2, 5, 7], 'central_character': '35.9', 'conductor': 490, 'conductor_radical': 70, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/490/2/i/b/79/2'], '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': '2-490-35.9-c1-0-19', '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': '2-490-35.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9780469405559467, 'root_angle': 0.09396476187916276, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.33423728391999526839941474582', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2958997294036293932244029735244', 'Lhash_array': ['2958997294036293932244029735244'], 'label': '2-490-35.9-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/490/2/i/b/79/2'}