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lfunc_lfunctions • Show schema
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{'Lhash': '737680784497829958768381539958', 'a10': [-0.5, -0.8660254037844386], 'a2': [-1.0, 0.0], 'a3': [-0.5, 0.8660254037844386], 'a4': [1.0, 0.0], 'a5': [0.5, 0.8660254037844386], 'a6': [0.5, -0.8660254037844386], 'a7': [0.5, -0.8660254037844386], 'a8': [-1.0, 0.0], 'a9': [-0.5, -0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.426087387979079, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [3, [[1.0, 0], [0.5, -0.8660254037844386]]], [5, [[1.0, 0], [-0.5, -0.8660254037844386]]], [31, [[1.0, 0], [3.5, 4.330127018922194]]]], 'bad_primes': [2, 3, 5, 31], 'central_character': '930.811', 'coefficient_field': 'CDF', 'conductor': 930, 'conductor_radical': 930, 'conjugate': '1823458315441475345220181640052', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [0.5, -0.8660254037844386]], [[1.0, 0], [-0.5, -0.8660254037844386]], [[1.0, 0], [-0.5, 0.8660254037844386], [-3.5, 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'z1': {'__RealLiteral__': 0, 'data': '0.58192753142310427380954381581', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.91641237494418434948207602502', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.06703750625511754457083983035', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.426087387979079, 'bad_primes': [2, 3, 5, 31], 'central_character': '31.5', 'conductor': 930, 'conductor_radical': 930, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/930/2/i/a/811/1'], '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': '2-930-31.5-c1-0-2', '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': '2-930-31.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.7250848405103056, 'root_angle': -0.29434865845301317, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.58192753142310427380954381581', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '737680784497829958768381539958', 'Lhash_array': ['737680784497829958768381539958'], 'label': '2-930-31.5-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/930/2/i/a/811/1'}