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lfunc_lfunctions • Show schema
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{'Lhash': '715761476562063471861886795677', 'a10': [3.0632158204586246, 0.7853081161505946], 'a2': [0.584780490019772, -1.2876458280490934], 'a3': [0.0, 2.8126698404711967], 'a4': [-1.316063556984471, -1.5059803165969277], 'a5': [0.39005506451485306, 2.2017849683032886], 'a6': [3.6217225857622455, 1.6447944475745802], 'a7': [-4.130729014396396, 0.0], 'a8': [-2.7087775635406297, 0.8139558410988217], 'a9': [-4.911111631496267, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.034315276808656, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.584780490019772, 1.2876458280490934]]], [5, [[1.0, 0], [-0.39005506451485306, -2.2017849683032886]]], [19, [[1.0, 0], [2.2325862909430167, -3.743735895264689]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.379', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '3411781316998404186018734218893', 'degree': 2, 'euler_factors': 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.034315276808656, 'bad_primes': [2, 5, 19], 'central_character': '380.379', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/2/d/b/379/26'], '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': '2-380-380.379-c1-0-6', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-380-380.379-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.7419286084132886, 'root_angle': -0.30662790206196333, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.56463624632307741525955634092', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '715761476562063471861886795677', 'Lhash_array': ['715761476562063471861886795677'], 'label': '2-380-380.379-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/2/d/b/379/26'}