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lfunc_lfunctions • Show schema
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{'Lhash': '4014838386160893979526154402508', 'a10': [1.514658199974046, 4.910401280821894], 'a2': [-0.8762638381834282, -1.2852429968973964], 'a3': [1.6740710744568643, -0.4443940117360264], 'a4': [-0.15332919823305788, 0.3906764256309606], 'a5': [-3.156729074159557, -0.9737219636094498], 'a6': [-2.038082236542295, -1.762181722364643], 'a7': [-2.384608989242513, -1.1461413387640291], 'a8': [-2.3965972175511214, 0.547007675647634], 'a9': [2.605027924666321, -1.4878943214182523], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.1738009097128221, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.6740710744568643, 0.4443940117360264]]], [7, [[1.0, 0], [2.384608989242513, 1.1461413387640291]]]], 'bad_primes': [3, 7], 'central_character': '147.110', 'coefficient_field': 'CDF', 'conductor': 147, 'conductor_radical': 21, 'conjugate': '1301747364981021357838322415518', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.1738009097128221, 'bad_primes': [3, 7], 'central_character': '147.110', 'conductor': 147, 'conductor_radical': 21, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/147/2/o/b/110/4'], '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': '2-147-147.110-c1-0-14', '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': '2-147-147.110-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.0834209291465724, 'root_angle': 0.38873446620439467, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.16714904362294898045978348054', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4014838386160893979526154402508', 'Lhash_array': ['4014838386160893979526154402508'], 'label': '2-147-147.110-c1-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/147/2/o/b/110/4'}