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lfunc_lfunctions • Show schema
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{'Lhash': '2160502939672473214607851694592', 'a10': [0.0, 0.0], 'a2': [0.5, 0.8660254037844386], 'a3': [-0.5, -0.8660254037844386], 'a4': [-0.5, 0.8660254037844386], 'a5': [0.0, 0.0], 'a6': [0.5, -0.8660254037844386], 'a7': [0.0, 0.0], 'a8': [-1.0, -3.9689140359382235e-80], 'a9': [-4.582907174201562e-80, 2.6459426906140066e-80], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.441299756484111, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5, -0.8660254037844386]]], [19, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 19], 'central_character': '2888.2819', 'coefficient_field': 'CDF', 'conductor': 2888, 'conductor_radical': 38, 'conjugate': '381011568451662382944247221008', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [0.5, 0.8660254037844386], [-0.5, 0.8660254037844386]], [[1.0, 0], [0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [1.0, 0], [1.0, 0]], 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103}, 'z3': {'__RealLiteral__': 0, 'data': '3.76693546526579314090881701803', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.441299756484111, 'bad_primes': [2, 19], 'central_character': '152.83', 'conductor': 2888, 'conductor_radical': 38, 'degree': 2, 'index': 6, 'instance_types': ['CMF', 'Artin'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2888/1/k/a/2819/1', 'ArtinRepresentation/2.2888.12t18.f.a'], 'is_instance_Artin': True, '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': '2-2888-152.83-c0-0-6', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2888-152.83-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.200541443051472, 'root_angle': 0.26558004527105655, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.70433630472268427895816929752', 'prec': 103}}
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lfunc_instances • Show schema
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id: 24607258
{'Lhash': '2160502939672473214607851694592', 'Lhash_array': ['2160502939672473214607851694592'], 'label': '2-2888-152.83-c0-0-6', 'type': 'Artin', 'url': 'ArtinRepresentation/2.2888.12t18.f.a'}
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id: 19893114
{'Lhash': '2160502939672473214607851694592', 'Lhash_array': ['2160502939672473214607851694592'], 'label': '2-2888-152.83-c0-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2888/1/k/a/2819/1'}