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lfunc_lfunctions • Show schema
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{'Lhash': '1223116137264202449267943745564', 'a10': [-0.5, -0.8660254037844386], 'a2': [-0.766044443118978, -0.6427876096865394], 'a3': [0.0, 0.0], 'a4': [0.17364817766693036, 0.984807753012208], 'a5': [0.9396926207859084, 0.3420201433256687], 'a6': [0.0, 0.0], 'a7': [-0.22018988599712266, 1.2487588973191779], 'a8': [0.5, -0.8660254037844386], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.467882563723714, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.766044443118978, 0.6427876096865394]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-0.9396926207859084, -0.3420201433256687]]]], 'bad_primes': [2, 3, 5], 'central_character': '810.451', 'coefficient_field': 'CDF', 'conductor': 810, 'conductor_radical': 30, 'conjugate': '1521704698100651663792895396384', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.766044443118978, 0.6427876096865394]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.9396926207859084, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.467882563723714, 'bad_primes': [2, 3, 5], 'central_character': '27.16', 'conductor': 810, 'conductor_radical': 30, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/810/2/k/c/451/1'], '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': '2-810-27.16-c1-0-4', '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': '2-810-27.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.543203209286217, 'root_angle': -0.0016640045782791383, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.964868503232666073957707688183', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1223116137264202449267943745564', 'Lhash_array': ['1223116137264202449267943745564'], 'label': '2-810-27.16-c1-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/810/2/k/c/451/1'}