Formats: - HTML - YAML - JSON - 2026-10-17T03:51:11.583908
  • lfunc_lfunctions • Show schema
    {'Lhash': '3398938819962107409778609776822', 'a10': [3.8541019662496847, 0.0], 'a2': [1.0, 0.0], 'a3': [-1.618033988749895, 0.0], 'a4': [1.0, 0.0], 'a5': [3.8541019662496847, 0.0], 'a6': [-1.618033988749895, 0.0], 'a7': [-3.23606797749979, 0.0], 'a8': [1.0, 0.0], 'a9': [-0.38196601125010515, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [37, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 37], 'central_character': '74.1', 'coefficient_field': 'CDF', 'conductor': 74, 'conductor_radical': 74, 'conjugate': '3398938819962107409778609776822', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.618033988749895, 0], [3.0, 0]], [[1.0, 0], [-3.8541019662496847, 0], [5.0, 0]], [[1.0, 0], [3.23606797749979, 0], [7.0, 0]], [[1.0, 0], [1.381966011250105, 0], [11.0, 0]], [[1.0, 0], [2.8541019662496847, 0], [13.0, 0]], [[1.0, 0], 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'10.18811168024303465092774942558552', '11.36027416487763192359374783846025', '12.72771702114412320601169767856757', '13.30390780605588925601099910529489', '14.31756017634910343877571717589122'], 'prelabel': '2-74-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.68128995430614572206899555225', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '5.12685721671521497213432134897', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '5.97691423654313329530298681114', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.5908929749574752, 'bad_primes': [2, 37], 'central_character': '1.1', 'conductor': 74, 'conductor_radical': 74, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/74/2/a/b/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': '2-74-1.1-c1-0-1', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-74-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.7686956321961738, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.68128995430614572206899555225', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '3398938819962107409778609776822', 'Lhash_array': ['3398938819962107409778609776822'], 'factors': ['2-74-1.1-c1-0-1'], 'label': '2-74-1.1-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/74/2/a/b/1/1'}