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lfunc_lfunctions • Show schema
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{'Lhash': '1395003681823994986264323169751', 'a10': [-14.364957991057993, -6.25297521115217], 'a2': [-1.3772961468746558, 1.4501914783242336], 'a3': [-2.321867332174834, 1.8997189507343761], 'a4': [-0.20611064760845238, -3.9946862706528563], 'a5': [2.6791974814287305, 7.361034582485131], 'a6': [0.44294269659248875, -5.983627809910588], 'a7': [10.344856558671687, -1.8240773228527398], 'a8': [6.076935389060547, 5.202966103789601], 'a9': [1.7821358164413617, -8.821790744047203], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.885573710182413, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3772961468746558, -1.4501914783242336]]], [3, [[1.0, 0], [2.321867332174834, -1.8997189507343761]]]], 'bad_primes': [2, 3], 'central_character': '216.211', 'coefficient_field': 'CDF', 'conductor': 216, 'conductor_radical': 6, 'conjugate': '2022698989493799447563861548057', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'data': '-0.335090014879', 'prec': 50}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10046386723032101785586623361', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.74648660826013383038971326011', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.33876048364885749644877290622', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.885573710182413, 'bad_primes': [2, 3], 'central_character': '216.211', 'conductor': 216, 'conductor_radical': 6, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/216/3/r/b/211/18'], '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': '2-6e3-216.211-c2-0-23', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-6e3-216.211-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.4260201380414, 'root_angle': -0.3350900148785201, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10046386723032101785586623361', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1395003681823994986264323169751', 'Lhash_array': ['1395003681823994986264323169751'], 'label': '2-6e3-216.211-c2-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/216/3/r/b/211/18'}