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lfunc_lfunctions • Show schema
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{'Lhash': '3217051628781928855132732597705', 'a10': [1.4829085746597872, -2.7930238379219894], 'a2': [1.1592235119329437, -0.8100622503128093], 'a3': [0.4539904997395468, 0.8910065241883679], 'a4': [0.6875983012362951, -1.8780864133838362], 'a5': [1.9907728305585, -1.0182453226556447], 'a6': [1.2480472115196934, 0.665115146285151], 'a7': [-2.491295369935362, -2.491295369935362], 'a8': [-0.7242867887493593, -2.7341193550470946], 'a9': [-0.5877852522924731, 0.8090169943749475], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.3955120606384126, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.1592235119329437, 0.8100622503128093]]], [3, [[1.0, 0], [-0.4539904997395468, -0.8910065241883679]]], [5, [[1.0, 0], [-1.9907728305585, 1.0182453226556447]]]], 'bad_primes': [2, 3, 5], 'central_character': '300.223', 'coefficient_field': 'CDF', 'conductor': 300, 'conductor_radical': 30, 'conjugate': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.3955120606384126, 'bad_primes': [2, 3, 5], 'central_character': '100.23', 'conductor': 300, 'conductor_radical': 30, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/300/2/w/a/223/24'], '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': '2-300-100.23-c1-0-25', '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': '2-300-100.23-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5477441844951034, 'root_angle': 0.1603628238864087, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.53780626002364283288545743136', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3217051628781928855132732597705', 'Lhash_array': ['3217051628781928855132732597705'], 'label': '2-300-100.23-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/300/2/w/a/223/24'}