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lfunc_lfunctions • Show schema
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{'Lhash': '1799785153422278223846312922742', 'a10': [1.1484664653411509e-60, 0.8920902293509925], 'a2': [-1.6039475163568435, -1.9115102149508287], 'a3': [-1.446365691873085, 0.9529041323094848], 'a4': [-0.7339273113002156, 4.162308617497819], 'a5': [-0.27386724481072133, -0.22980190411221413], 'a6': [4.1413806420020185, 1.2363345782258537], 'a7': [2.6163016656828413, 0.393656695796212], 'a8': [4.811491042402634, -2.7779156485346337], 'a9': [1.1839474292550158, -2.756495689233059], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5091725982022, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [1.446365691873085, -0.9529041323094848]]], [7, [[1.0, 0], [-2.6163016656828413, -0.393656695796212]]]], 'bad_primes': [3, 7], 'central_character': '189.131', 'coefficient_field': 'CDF', 'conductor': 189, 'conductor_radical': 21, 'conjugate': '1080470029476817446283164190669', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.41978014533203601293627758965', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.90256895098033179794704415660', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.69580929056151017250369043353', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5091725982022, 'bad_primes': [3, 7], 'central_character': '189.131', 'conductor': 189, 'conductor_radical': 21, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/189/2/ba/a/131/2'], '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': '2-189-189.131-c1-0-3', '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': '2-189-189.131-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2284838615961546, 'root_angle': 0.2843105017734971, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.41978014533203601293627758965', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1799785153422278223846312922742', 'Lhash_array': ['1799785153422278223846312922742'], 'factors': ['2-189-189.131-c1-0-3'], 'label': '2-189-189.131-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/189/2/ba/a/131/2'}