Formats: - HTML - YAML - JSON - 2026-09-07T13:35:58.028187
  • lfunc_lfunctions • Show schema
    {'Lhash': '813982079846907073049689751139', 'a10': [0.220469726348554, -0.0766855458545191], 'a2': [-1.2730184775366242, -0.6159739895891186], 'a3': [0.0, -1.0], 'a4': [1.2411520882993288, 1.5682925408578003], 'a5': [-0.11671286687766246, 0.11671286687766246], 'a6': [-0.6159739895891186, 1.2730184775366242], 'a7': [0.0, 4.08371947470112], 'a8': [-0.613982128603178, -2.760982786211444], 'a9': [-1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.090715699489701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [1.2730184775366242, 0.6159739895891186]]], [3, [[1.0, 0], [0, 1.0]]], [37, [[1.0, 0], [2.554430394364117, -5.520406267689796]]]], 'bad_primes': [2, 3, 37], 'central_character': '888.43', 'coefficient_field': 'CDF', 'conductor': 888, 'conductor_radical': 222, 'conjugate': '1607550960964974376483365343149', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.2730184775366242, 0.6159739895891186]], [[1.0, 0], 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'data': '-0.0777083162469', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.64211864034171302413663809684', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.19995250446853810939939713257', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.01609874553590997850818681759', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.090715699489701, 'bad_primes': [2, 3, 37], 'central_character': '296.43', 'conductor': 888, 'conductor_radical': 222, 'degree': 2, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/888/2/r/e/43/5'], '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': '2-888-296.43-c1-0-19', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-888-296.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6628397810401023, 'root_angle': -0.07770831624689113, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.64211864034171302413663809684', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '813982079846907073049689751139', 'Lhash_array': ['813982079846907073049689751139'], 'factors': ['2-888-296.43-c1-0-19'], 'label': '2-888-296.43-c1-0-19', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/888/2/r/e/43/5'}