Formats: - HTML - YAML - JSON - 2026-10-16T02:21:51.773756
  • lfunc_lfunctions • Show schema
    {'Lhash': '1510726844584545120809048735709', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-3.128020195434332, 0.0], 'a4': [0.0, 0.0], 'a5': [4.355002293720329, 0.0], 'a6': [0.0, 0.0], 'a7': [2.6564901476107052, 0.0], 'a8': [0.0, 0.0], 'a9': [6.784510343045037, 0.0], '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], [-1.0, 0]]]], 'bad_primes': [2, 23], 'central_character': '736.1', 'coefficient_field': 'CDF', 'conductor': 736, 'conductor_radical': 46, 'conjugate': '1510726844584545120809048735709', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [3.128020195434332, 0], [3.0, 0]], [[1.0, 0], [-4.355002293720329, 0], [5.0, 0]], [[1.0, 0], [-2.6564901476107052, 0], [7.0, 0]], [[1.0, 0], [-2.3550022937203283, 0], [11.0, 0]], [[1.0, 0], [3.7845103430450373, 0], [13.0, 0]], [[1.0, 0], [0.6564901476107051, 0], [17.0, 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'7.42033842974350882372396048778816', '8.994448432132614492661993104717047', '9.833947239210906043080084462607464', '10.36076708040907016655180403206182'], 'prelabel': '2-736-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.424250314791408, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.19175334616064708042035470635', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.18706755634208733172534567788', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.49422946933250425507518777280', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 5.876989588766239, 'bad_primes': [2, 23], 'central_character': '1.1', 'conductor': 736, 'conductor_radical': 46, 'degree': 2, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/736/2/a/g/1/1'], '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': '2-736-1.1-c1-0-4', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-736-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.424250314791408, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.19175334616064708042035470635', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1510726844584545120809048735709', 'Lhash_array': ['1510726844584545120809048735709'], 'factors': ['2-736-1.1-c1-0-4'], 'label': '2-736-1.1-c1-0-4', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/736/2/a/g/1/1'}