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lfunc_lfunctions • Show schema
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{'Lhash': '1328864981884727928043441972481', 'a10': [-5.8401160003142036e-61, -122.50133522932435], 'a2': [-2.6899940478558295, -0.8740320488976422], 'a3': [-3.201868082054529, 2.3262933306755738], 'a4': [6.47213595499958, 4.702282018339785], 'a5': [13.38376162789791, 41.19098282765926], 'a6': [10.646261008893536, -3.4591798930259223], 'a7': [-7.80029980716266, 10.736191628833467], 'a8': [-13.300062008878509, -18.305964890165896], 'a9': [-20.19005798983685, 62.138609089934555], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.274139187844576, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.6899940478558295, 0.8740320488976422]]], [11, [[1.0, 0], [-90.5882444121859, 80.21701798445308]]]], 'bad_primes': [2, 11], 'central_character': '22.13', 'coefficient_field': 'CDF', 'conductor': 22, 'conductor_radical': 22, 'conjugate': '3566881068525415079858523272055', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.274139187844576, 'bad_primes': [2, 11], 'central_character': '11.2', 'conductor': 22, 'conductor_radical': 22, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/22/5/d/a/13/1'], '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': '2-22-11.2-c4-0-0', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-22-11.2-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.5080249294506294, 'root_angle': -0.2118488936338784, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.04828963252608992778989220748', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1328864981884727928043441972481', 'Lhash_array': ['1328864981884727928043441972481'], 'label': '2-22-11.2-c4-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/22/5/d/a/13/1'}