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lfunc_lfunctions • Show schema
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{'Lhash': '2611882642381757973256326378877', 'a10': [1.6751308705666461, 0.0], 'a2': [0.0, 2.4811943040920155], 'a3': [1.6751308705666461, 0.0], 'a4': [-4.156325174658662, 0.0], 'a5': [0.0, -0.6751308705666461], 'a6': [0.0, 4.156325174658662], 'a7': [0.0, 1.0], 'a8': [0.0, -5.350261741133292], 'a9': [-0.19393656647463045, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, -1.0]]], [13, [[1.0, 0], [-3.2872577376173853, 1.4811943040920157]]]], 'bad_primes': [7, 13], 'central_character': '91.64', 'coefficient_field': 'CDF', 'conductor': 91, 'conductor_radical': 91, 'conjugate': '4481462371236090930091924059365', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -2.4811943040920155], [-2.0, 0]], [[1.0, 0], [-1.6751308705666461, 0], [3.0, 0]], [[1.0, 0], [0, 0.6751308705666461], [-5.0, 0]], [[1.0, 0], [0, -1.0]], [[1.0, 0], [0, 4.481194304092016], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'bad_primes': [7, 13], 'central_character': '13.12', 'conductor': 91, 'conductor_radical': 91, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/91/2/c/a/64/6'], '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': '2-91-13.12-c1-0-1', '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': '2-91-13.12-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8524310285258578, 'root_angle': -0.31737691467404183, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.06041210560032184859029994599', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2611882642381757973256326378877', 'Lhash_array': ['2611882642381757973256326378877'], 'label': '2-91-13.12-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/91/2/c/a/64/6'}