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lfunc_lfunctions • Show schema
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{'Lhash': '3140464140788493912184398926967', 'a10': [-0.8190626136219242, -0.3392668429949552], 'a2': [-0.15643446504023087, -0.9876883405951378], 'a3': [3.0466093570956057, -0.23977335643127765], 'a4': [-0.9510565162951535, 0.30901699437494745], 'a5': [0.4632195269730374, -0.755905566601951], 'a6': [-0.713416053496348, -2.9715917236071507], 'a7': [0.35347378798361107, -4.491310318990973], 'a8': [0.4539904997395468, 0.8910065241883679], 'a9': [6.261272290502767, -0.991688107450808], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.986405035595888, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.15643446504023087, 0.9876883405951378]]], [11, [[1.0, 0], [1.675597453148193, -2.8622322014475503]]], [17, [[1.0, 0], [3.00376751669405, -2.824425730242107]]]], 'bad_primes': [2, 11, 17], 'central_character': '374.15', 'coefficient_field': 'CDF', 'conductor': 374, 'conductor_radical': 374, 'conjugate': 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0.9851030423813186*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.222494183713', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.47738938491653837073923342218', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.00145320399046617893305155797', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.75354907949943939609676137232', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.986405035595888, 'bad_primes': [2, 11, 17], 'central_character': '187.15', 'conductor': 374, 'conductor_radical': 374, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/374/2/r/b/15/10'], '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': '2-374-187.15-c1-0-17', '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': '2-374-187.15-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7281218231351307, 'root_angle': 0.22249418371345925, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.47738938491653837073923342218', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3140464140788493912184398926967', 'Lhash_array': ['3140464140788493912184398926967'], 'label': '2-374-187.15-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/374/2/r/b/15/10'}