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lfunc_lfunctions • Show schema
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{'Lhash': '4309662060022536389972925933047', 'a10': [-2.8975718124655745, -5.0187415977698135], 'a2': [-0.3472963553338607, 1.969615506024416], 'a3': [-1.4335217068004442, -8.129905593804708], 'a4': [-3.7587704831436337, -1.3680805733026749], 'a5': [-2.219668785477439, 1.8625232592298402], 'a6': [16.51064498413616, 4.683755408764421e-61], 'a7': [-21.786591456766537, 18.28112085598288], 'a8': [4.0, -6.928203230275509], 'a9': [-38.66867971908949, 14.07424841612175], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.366141340424807, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.3472963553338607, -1.969615506024416]]], [37, [[1.0, 0], [-200.46251823795083, -102.31216341031612]]]], 'bad_primes': [2, 37], 'central_character': '74.33', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '68993084200040537546284298853', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.3472963553338607, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.366141340424807, 'bad_primes': [2, 37], 'central_character': '37.33', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/4/f/a/33/1'], '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': '2-74-37.33-c3-0-7', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-74-37.33-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0895313686146966, 'root_angle': 0.4974582790845535, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '3.39972391386602856958948536209', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4309662060022536389972925933047', 'Lhash_array': ['4309662060022536389972925933047'], 'label': '2-74-37.33-c3-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/4/f/a/33/1'}