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  • lfunc_lfunctions • Show schema
    {'Lhash': '2507132671311729167871678052742', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [1.630634958021989, -1.4129532343032036], 'a4': [0.0, 0.0], 'a5': [-0.1358292832998702, 0.019529302627415257], 'a6': [0.0, 0.0], 'a7': [0.88865218461588, -1.9458768570422948], 'a8': [0.0, 0.0], 'a9': [0.23558900917563413, -1.638557550167278], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.876989588766239, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-2.2597020418374525, -4.230100079444415]]]], 'bad_primes': [2, 23], 'central_character': '736.561', 'coefficient_field': 'CDF', 'conductor': 736, 'conductor_radical': 46, 'conjugate': '1285568767907050594780860084469', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.630634958021989, 1.4129532343032036], [0.4269445148198554, -2.9694643256427984]], [[1.0, 0], [0.1358292832998702, -0.019529302627415257], [4.7974648680724865, 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 5.876989588766239, 'bad_primes': [2, 23], 'central_character': '184.101', 'conductor': 736, 'conductor_radical': 46, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/736/2/x/a/561/19'], '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': '2-736-184.101-c1-0-19', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-736-184.101-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.424250314791408, 'root_angle': 0.23860085909458778, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.97777894860014412657548399135', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2507132671311729167871678052742', 'Lhash_array': ['2507132671311729167871678052742'], 'factors': ['2-736-184.101-c1-0-19'], 'label': '2-736-184.101-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/736/2/x/a/561/19'}