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lfunc_lfunctions • Show schema
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{'Lhash': '2449915657144753511612558106674', 'a10': [1.58142616686791, 2.158163697953228], 'a2': [-1.3976890246729983, -0.21555832229037952], 'a3': [0.0, 0.0], 'a4': [1.9070692193827137, 0.6025670024843767], 'a5': [-1.337776071360383, -1.337776071360383], 'a6': [0.0, 0.0], 'a7': [0.4006290275208397, 0.0], 'a8': [-2.535601385099846, -1.253285927424282], '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], [1.3976890246729983, 0.21555832229037952]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '432.323', 'coefficient_field': 'CDF', 'conductor': 432, 'conductor_radical': 6, 'conjugate': '406260449894615991291345183253', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.3976890246729983, 0.21555832229037952]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.337776071360383, 1.337776071360383], [0, 5.0]], [[1.0, 0], 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{'__RealLiteral__': 0, 'data': '1.93264268301034025366463397586', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.28922720887834364318852660087', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.81969502252162894059048335248', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.4495373673193144, 'bad_primes': [2, 3], 'central_character': '48.35', 'conductor': 432, 'conductor_radical': 6, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/432/2/l/a/323/1'], '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': '2-432-48.35-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': '2-432-48.35-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.857293021394124, 'root_angle': 0.40991505275662526, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.93264268301034025366463397586', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2449915657144753511612558106674', 'Lhash_array': ['2449915657144753511612558106674'], 'label': '2-432-48.35-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/432/2/l/a/323/1'}