Formats: - HTML - YAML - JSON - 2026-08-14T22:20:33.456130
  • lfunc_lfunctions • Show schema
    {'Lhash': '2475618812813160528099491985691', 'a10': [195471996.52773154, 0], 'a2': [500.4083111109927, 0], 'a3': [0, 0], 'a4': [119336.47782895608, 0], 'a5': [390625.0, 0], 'a6': [0, 0], 'a7': [8905123.449078215, 0], 'a8': [-5872552.829617701, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 82.44993930505191, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '8.5', 'prec': 7}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-390625.0, 0]]]], 'bad_primes': [3, 5], 'central_character': '45.1', 'coefficient_field': 'CDF', 'conductor': 45, 'conductor_radical': 15, 'degree': 2, 'euler_factors': [[[1.0, 0], [-500.4083111109927, 0], [131072.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-390625.0, 0]], [[1.0, 0], [-8905123.449078215, 0], [232630513987207.0, 0]], [[1.0, 0], [448684466.64948076, 0], [505447028499293760, 0]], [[1.0, 0], [3897381493.8420053, 0], [8650415919381338000, 0]], [[1.0, 0], [-596526352.1757935, 0], [827240261886336800000, 0]], 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'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'spectral_label': 'c17-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.95291889765795639343791989593', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.96699917377600389050225979290', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.49541944877359502726347362713', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 82.44993930505191, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 45, 'conductor_radical': 15, 'degree': 2, 'index': 27, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/45/18/a/d/1/3'], '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': '2-45-1.1-c17-0-27', 'motivic_weight': 17, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [17], 'order_of_vanishing': 1, 'prelabel': '2-45-1.1-c17-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.080194893561035, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c17-0', 'z1': {'__RealLiteral__': 0, 'data': '1.95291889765795639343791989593', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2475618812813160528099491985691', 'Lhash_array': ['2475618812813160528099491985691'], 'factors': ['2-45-1.1-c17-0-27'], 'label': '2-45-1.1-c17-0-27', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/45/18/a/d/1/3'}