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lfunc_lfunctions • Show schema
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{'Lhash': '2387616227262334757829030623626', 'a10': [-1.2844415907316469, 2.224718094501802], 'a2': [-0.21140059140705114, 0.7889577478812235], 'a3': [-2.6048174276596927, -1.503892043049152], 'a4': [1.154286689674316, 0.6664277310054684], 'a5': [3.037932822662872, 0.8140116464925178], 'a6': [1.7371672240552036, -1.7371672240552036], 'a7': [2.28950977767176, -1.3259505940816227], 'a8': [-1.9249145235784506, 1.9249145235784506], 'a9': [3.0233825542931054, 5.236652194753028], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [-2.28950977767176, 1.3259505940816227]]], [13, [[1.0, 0], [1.7371672240552036, 3.1594698978892546]]]], 'bad_primes': [7, 13], 'central_character': '91.73', 'coefficient_field': 'CDF', 'conductor': 91, 'conductor_radical': 91, 'conjugate': '2505153041122458551229134543603', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.7266386583936518, 'bad_primes': [7, 13], 'central_character': '91.73', 'conductor': 91, 'conductor_radical': 91, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/91/2/bb/a/73/3'], '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': '2-91-91.73-c1-0-2', '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': '2-91-91.73-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8524310285258578, 'root_angle': -0.0536039130437589, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.88349709835854244249155355006', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2387616227262334757829030623626', 'Lhash_array': ['2387616227262334757829030623626'], 'label': '2-91-91.73-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/91/2/bb/a/73/3'}