Formats: - HTML - YAML - JSON - 2026-08-11T04:32:31.745057
  • lfunc_lfunctions • Show schema
    {'Lhash': '1107216724718275151330176058825', 'a10': [-1.5, 0.8660254037844386], 'a2': [-0.8660254037844386, 0.5], 'a3': [0, 0], 'a4': [0.5, -0.8660254037844386], 'a5': [1.7320508075688772, 0], 'a6': [0, 0], 'a7': [2.0, -1.7320508075688772], 'a8': [0, 1.0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.0550355892132, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0.8660254037844386, -0.5]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-2.0, 1.7320508075688772]]]], 'bad_primes': [2, 3, 7], 'central_character': '1134.593', 'coefficient_field': 'CDF', 'conductor': 1134, 'conductor_radical': 42, 'conjugate': '1717085706447012365584846785282', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8660254037844386, -0.5]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.7320508075688772, 0], [5.0, 0]], [[1.0, 0], [-2.0, 1.7320508075688772]], [[1.0, 0], [0, -3.0], [-11.0, 0]], [[1.0, 0], [3.0, -1.7320508075688772], [6.5, 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{'__RealLiteral__': 0, 'data': '-0.14897536541586195', 'prec': 57}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.873439987737102373229381500782', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.31848280304992018754178618450', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.96615293646324386216206869263', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 9.0550355892132, 'bad_primes': [2, 3, 7], 'central_character': '63.47', 'conductor': 1134, 'conductor_radical': 42, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1134/2/t/d/593/1'], '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': '2-1134-63.47-c1-0-10', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1134-63.47-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.00915861815445, 'root_angle': -0.14897536541586195, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.873439987737102373229381500782', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1107216724718275151330176058825', 'Lhash_array': ['1107216724718275151330176058825'], 'factors': ['2-1134-63.47-c1-0-10'], 'label': '2-1134-63.47-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1134/2/t/d/593/1'}