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lfunc_lfunctions • Show schema
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{'Lhash': '5038792884747062028443396209534', 'a10': [26.936698508729517, 19.570657030650576], 'a2': [-0.6252593521134161, -1.9243504144643258], 'a3': [0.0, -8.165964369189654], 'a4': [3.1599606947558465, -2.2958458315654893], 'a5': [-13.31271189054018, 9.67225135156009], 'a6': [-15.714176918351027, 5.105845590860763], 'a7': [17.80222816632056, 5.7842945680697655], 'a8': [-19.489408739159437, -14.15988429467867], 'a9': [-39.68297407887499, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.419078310235366, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[41, [[1.0, 0], [190.47221430273825, -180.6691328883043]]]], 'bad_primes': [41], 'central_character': '41.23', 'coefficient_field': 'CDF', 'conductor': 41, 'conductor_radical': 41, 'conjugate': '1476037697789433345630817753907', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6252593521134161, 1.9243504144643258], [-6.47213595499958, 4.702282018339785]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.419078310235366, 'bad_primes': [41], 'central_character': '41.23', 'conductor': 41, 'conductor_radical': 41, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/41/4/f/a/23/5'], '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': '2-41-41.23-c3-0-8', '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': '2-41-41.23-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5553386480877296, 'root_angle': 0.3999475380958309, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '3.97490671628276076040271338767', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5038792884747062028443396209534', 'Lhash_array': ['5038792884747062028443396209534'], 'label': '2-41-41.23-c3-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/41/4/f/a/23/5'}