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lfunc_lfunctions • Show schema
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{'Lhash': '913898365291995116418995556703', 'a10': [-8.951653106969278, 0.0], 'a2': [0.0, 2.3767209500133752], 'a3': [-2.9172467668927595, -0.699765175650905], 'a4': [-1.648802474232481, 0.0], 'a5': [0.0, 3.7663879333074006], 'a6': [1.6631465530592955, -6.933481507232806], 'a7': [9.727496213426969, 0.0], 'a8': [0.0, 5.588140417111275], 'a9': [8.020657397892515, 4.0827753925034935], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.476853313641969, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [2.9172467668927595, 0.699765175650905]]], [67, [[1.0, 0], [-8.18535277187245, 0]]]], 'bad_primes': [3, 67], 'central_character': '201.68', 'coefficient_field': 'CDF', 'conductor': 201, 'conductor_radical': 201, 'conjugate': '2670779095130376575030771920154', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -2.3767209500133752], [-4.0, 0]], [[1.0, 0], [2.9172467668927595, 0.699765175650905]], [[1.0, 0], [0, -3.7663879333074006], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.476853313641969, 'bad_primes': [3, 67], 'central_character': '3.2', 'conductor': 201, 'conductor_radical': 201, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/201/3/c/a/68/34'], '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': '2-201-3.2-c2-0-7', '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': '2-201-3.2-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.3402677867376562, 'root_angle': -0.46253114793877376, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.72093869172424618446988044954', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '913898365291995116418995556703', 'Lhash_array': ['913898365291995116418995556703'], 'label': '2-201-3.2-c2-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/201/3/c/a/68/34'}