Formats: - HTML - YAML - JSON - 2026-09-07T11:54:20.023542
  • lfunc_lfunctions • Show schema
    {'Lhash': '1188968440915813607052298911911', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [39.560233660342064, 22.840111553002984], 'a6': [0, 0], 'a7': [245.09739920500817, 424.5211482260659], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 99.38336412377564, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '432.17', 'coefficient_field': 'CDF', 'conductor': 432, 'conductor_radical': 6, 'conjugate': '807113053802905100705428085579', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-39.560233660342064, -22.840111553002984], [7812.5, 13531.646934131853]], [[1.0, 0], [-245.09739920500817, -424.5211482260659], [-58824.5, 101887.02272983543]], [[1.0, 0], [873.3364314848877, -504.22102381090707], [885780.5, -1534216.830353764]], [[1.0, 0], [-466.801008257647, 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'9.404953017536188519003340886049265', '10.29833803839978368538975468044678'], 'prelabel': '2-432-9.5-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.969120529102637, 'root_angle': 0.04028774147675382, 'root_number': '0.9681319637494824483173107864540936082604726002006484953 + 0.2504406132530640538067728799110977616240195930359614199*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.04028774147675381', 'prec': 54}, 'spectral_label': 'c6-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.937930720580063812574962990664', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '1.79447442261122639244784105296', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.41811040110826715284579175968', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 99.38336412377564, 'bad_primes': [2, 3], 'central_character': '9.5', 'conductor': 432, 'conductor_radical': 6, 'degree': 2, 'index': 23, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/432/7/q/b/17/5'], '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': '2-432-9.5-c6-0-23', 'motivic_weight': 6, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [6], 'order_of_vanishing': 0, 'prelabel': '2-432-9.5-c6-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.969120529102637, 'root_angle': 0.04028774147675382, 'self_dual': False, 'spectral_label': 'c6-0', 'z1': {'__RealLiteral__': 0, 'data': '0.937930720580063812574962990664', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1188968440915813607052298911911', 'Lhash_array': ['1188968440915813607052298911911'], 'factors': ['2-432-9.5-c6-0-23'], 'label': '2-432-9.5-c6-0-23', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/432/7/q/b/17/5'}