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lfunc_lfunctions • Show schema
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{'Lhash': '2568599963351640783680346792872', 'a10': [1.205877697252948, -5.7594661364759146e-61], 'a2': [-0.3726367015888888, 1.1468578418274107], 'a3': [0.0, 0.0], 'a4': [0.4416091907599155, 0.32084785784511066], 'a5': [-0.30901699437494745, -0.9510565162951535], 'a6': [0.0, 0.0], 'a7': [-3.4912224228385322, -2.5365215649181083], 'a8': [-2.4836777744700305, 1.8044975290141843], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.952594900053381, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0.30901699437494745, 0.9510565162951535]]], [11, [[1.0, 0], [2.9621019467130565, 1.4919624852115825]]]], 'bad_primes': [3, 5, 11], 'central_character': '495.361', 'coefficient_field': 'CDF', 'conductor': 495, 'conductor_radical': 165, 'conjugate': '428740749194677556907188301082', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.3726367015888888, -1.1468578418274107], [-1.618033988749895, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.952594900053381, 'bad_primes': [3, 5, 11], 'central_character': '11.9', 'conductor': 495, 'conductor_radical': 165, 'degree': 2, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/495/2/n/h/361/2'], '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': '2-495-11.9-c1-0-16', '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': '2-495-11.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9881134022115994, 'root_angle': 0.2169772714394821, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.02626809224023309712983355875', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2568599963351640783680346792872', 'Lhash_array': ['2568599963351640783680346792872'], 'label': '2-495-11.9-c1-0-16', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/495/2/n/h/361/2'}