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lfunc_lfunctions • Show schema
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{'Lhash': '1506022544045895574902859679368', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.374606593415912, -0.9271838545667874], 'a4': [-0.882947592858927, 0.46947156278589075], 'a5': [0.33384268352142393, -0.09572784906910635], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [-0.7193398003386512, 0.6946583704589973], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.630445396272019, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.374606593415912, 0.9271838545667874]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 11], 'central_character': '3267.2581', 'coefficient_field': 'CDF', 'conductor': 3267, 'conductor_radical': 33, 'conjugate': '709127995500316534063957113935', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [0.882947592858927, -0.46947156278589075]], [[1.0, 0], [0.374606593415912, 0.9271838545667874]], [[1.0, 0], [-0.33384268352142393, 0.09572784906910635], [0.848048096156426, 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'5.29506522032021903731567946070835', '5.73680649814235703277274320778136', '6.51665097578850996416212719698153', '7.62151081508282466530704420394662', '8.637158030728076315017741389299637', '9.050960136289366419593745938357366'], 'prelabel': '2-3267-297.205-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.27688895220846, 'root_angle': 0.5220621554252862, 'root_number': '-0.069254825225239560723788473922054 + 0.99759900219628403667385286189134*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.2610310777126431', 'prec': 60}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.18804230737929630620371305895', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.70902136989793618229298369817', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.81607552773239057140214304109', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.630445396272019, 'bad_primes': [3, 11], 'central_character': '297.205', 'conductor': 3267, 'conductor_radical': 33, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3267/1/bf/a/2581/1'], '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': '2-3267-297.205-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3267-297.205-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.27688895220846, 'root_angle': 0.2610310777126431, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.18804230737929630620371305895', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1506022544045895574902859679368', 'Lhash_array': ['1506022544045895574902859679368'], 'label': '2-3267-297.205-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3267/1/bf/a/2581/1'}