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lfunc_lfunctions • Show schema
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{'Lhash': '2629994127469036072692937896277', 'a10': [3.163267977062613, -1.8263136180760227], 'a2': [-0.49272616114481854, -1.3537540017199485], 'a3': [0.0, 0.0], 'a4': [-0.05778194105830852, 0.04848480543073401], 'a5': [0.4402725876736583, 2.496909922149662], 'a6': [0.0, 0.0], 'a7': [-2.347624180877664, -1.2201068417800458], 'a8': [-2.401145699811349, -1.3863021161495945], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.5275177946066, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [2.347624180877664, 1.2201068417800458]]]], 'bad_primes': [3, 7], 'central_character': '567.62', 'coefficient_field': 'CDF', 'conductor': 567, 'conductor_radical': 21, 'conjugate': '369776644672961955246550285349', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.49272616114481854, 1.3537540017199485], [-1.532088886237956, 1.2855752193730787]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.4402725876736583, 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103}, 'z3': {'__RealLiteral__': 0, 'data': '5.04310419720541950665144636645', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.5275177946066, 'bad_primes': [3, 7], 'central_character': '189.20', 'conductor': 567, 'conductor_radical': 21, 'degree': 2, 'index': 17, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/567/2/be/a/62/6'], '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': '2-567-189.20-c1-0-17', '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': '2-567-189.20-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1277964645629526, 'root_angle': -0.4639625527997455, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.07469954812116890611637222881', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2629994127469036072692937896277', 'Lhash_array': ['2629994127469036072692937896277'], 'factors': ['2-567-189.20-c1-0-17'], 'label': '2-567-189.20-c1-0-17', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/567/2/be/a/62/6'}