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lfunc_lfunctions • Show schema
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{'Lhash': '3279554213088007725740801905562', 'a10': [3.7846096908265277, 6.444200893723549e-61], 'a2': [-0.7614492749443224, -2.343499897890174], 'a3': [0.4335509006116426, 0.31499316734938376], 'a4': [1.559949181901557, -1.1333694221786519], 'a5': [-0.47461870255546734, 1.4607261672904401], 'a6': [0.4080594365971902, -1.2558778102041814], 'a7': [-22.853687515716818, 16.604175901913454], 'a8': [-19.791873958762043, -14.379638139962445], 'a9': [-8.254713160179211, -25.40539479718747], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.139231110694618, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [0, 0]]]], 'bad_primes': [11], 'central_character': '121.27', 'coefficient_field': 'CDF', 'conductor': 121, 'conductor_radical': 11, 'conjugate': '366302993898164870611851059209', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7614492749443224, 2.343499897890174], [-6.47213595499958, 4.702282018339785]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.139231110694618, 'bad_primes': [11], 'central_character': '11.5', 'conductor': 121, 'conductor_radical': 11, 'degree': 2, 'index': 20, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/121/4/c/d/27/1'], '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': '2-11e2-11.5-c3-0-20', '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': '2-11e2-11.5-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.671933964508595, 'root_angle': -0.45349913282822146, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.58711210525798881675510214889', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3279554213088007725740801905562', 'Lhash_array': ['3279554213088007725740801905562'], 'label': '2-11e2-11.5-c3-0-20', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/121/4/c/d/27/1'}