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lfunc_lfunctions • Show schema
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{'Lhash': '335339518433964294922998096517', 'a10': [2.308410015693825, -2.7218874501263204], 'a2': [-1.4094601294156233, 0.11585397527791072], 'a3': [0.0, 0.0], 'a4': [1.9731557128246104, -0.32658311797703693], 'a5': [-1.784476680410165, 1.784476680410165], 'a6': [0.0, 0.0], 'a7': [0.0, 4.775746793200074], 'a8': [-2.743248353878657, 0.6889038169019229], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.4495373673193144, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.4094601294156233, -0.11585397527791072]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '432.109', 'coefficient_field': 'CDF', 'conductor': 432, 'conductor_radical': 6, 'conjugate': '2912060138048860280451793179825', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.4094601294156233, -0.11585397527791072]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.784476680410165, -1.784476680410165], [0, -5.0]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.4495373673193144, 'bad_primes': [2, 3], 'central_character': '16.13', 'conductor': 432, 'conductor_radical': 6, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/432/2/k/c/109/1'], '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': '2-432-16.13-c1-0-2', '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': '2-432-16.13-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.857293021394124, 'root_angle': -0.4897111223104278, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.26453623606819524882563326467', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '335339518433964294922998096517', 'Lhash_array': ['335339518433964294922998096517'], 'label': '2-432-16.13-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/432/2/k/c/109/1'}