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lfunc_lfunctions • Show schema
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{'Lhash': '177914634280851350441435597854', 'a10': [-3.1193163159389936, -2.5292323904733656], 'a2': [-0.45567593845624155, 0.8901457403773966], 'a3': [-0.7385770677654926, -0.6466850878083045], 'a4': [-0.5847188782240471, -0.8112359912185924], 'a5': [-0.8299880491970396, 3.9291564746256826], 'a6': [0.9121957747544448, -0.3627623965391749], 'a7': [-1.0070364491715376, 0.6422974851475284], 'a8': [0.9885605855918885, -0.15082429716137383], 'a9': [-0.2689744426896684, -2.0184597731335567], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.667003427510766, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.45567593845624155, -0.8901457403773966]]], [167, [[1.0, 0], [9.058060561753992, 9.216915908241594]]]], 'bad_primes': [2, 167], 'central_character': '334.3', 'coefficient_field': 'CDF', 'conductor': 334, 'conductor_radical': 334, 'conjugate': '3316849999307980018176019706775', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'root_analytic_conductor': 1.6330962701294636, 'root_angle': 0.827823044684252, 'root_number': '-0.8572405356920704 + 0.5149161717856336*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.413911522342', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.14034989945085765501128140624', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.01277532607458043637152193023', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.07102783355752452196804706475', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.667003427510766, 'bad_primes': [2, 167], 'central_character': '167.3', 'conductor': 334, 'conductor_radical': 334, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/334/2/c/a/3/3'], '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': '2-334-167.3-c1-0-0', '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': '2-334-167.3-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6330962701294636, 'root_angle': 0.413911522342126, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.14034989945085765501128140624', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '177914634280851350441435597854', 'Lhash_array': ['177914634280851350441435597854'], 'label': '2-334-167.3-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/334/2/c/a/3/3'}