Formats: - HTML - YAML - JSON - 2026-09-09T20:24:10.128713
  • lfunc_lfunctions • Show schema
    {'Lhash': '2827985629071991353186240690563', 'a10': [0.5278640450004206, 0.0], 'a2': [-0.38196601125010515, 0.0], 'a3': [1.0, 0.0], 'a4': [-1.8541019662496845, 0.0], 'a5': [-1.381966011250105, 0.0], 'a6': [-0.38196601125010515, 0.0], 'a7': [1.0, 0.0], 'a8': [1.4721359549995794, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [7, [[1.0, 0], [-1.0, 0]]], [23, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 7, 23], 'central_character': '483.1', 'coefficient_field': 'CDF', 'conductor': 483, 'conductor_radical': 483, 'conjugate': '2827985629071991353186240690563', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.38196601125010515, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.381966011250105, 0], [5.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [5.47213595499958, 0], [11.0, 0]], [[1.0, 0], [2.381966011250105, 0], [13.0, 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'8.639076508177464065000002641327016', '9.578180479679418414146930744942081', '10.39823081149817439046632654717215'], 'prelabel': '2-483-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': 0.5, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.23088730330174361858629621432', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.69656774805218198534431793330', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.66043629966342784974621871937', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'bad_primes': [3, 7, 23], 'central_character': '1.1', 'conductor': 483, 'conductor_radical': 483, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/483/2/a/c/1/2'], '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': '2-483-1.1-c1-0-18', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-483-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.23088730330174361858629621432', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2827985629071991353186240690563', 'Lhash_array': ['2827985629071991353186240690563'], 'factors': ['2-483-1.1-c1-0-18'], 'label': '2-483-1.1-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/483/2/a/c/1/2'}