Formats: - HTML - YAML - JSON - 2026-10-14T01:00:38.310067
  • lfunc_lfunctions • Show schema
    {'Lhash': '792298179463486131813960406794', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 1.79128784747792], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 4.79128784747792], 'a8': [0, 0], 'a9': [-0.20871215252208, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 8.783544222340847, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 5, 11], 'central_character': '1100.749', 'coefficient_field': 'CDF', 'conductor': 1100, 'conductor_radical': 110, 'conjugate': '2477727052949745759897031688719', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, -1.79128784747792], [-3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -4.79128784747792], [-7.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [0, 1.0], [-13.0, 0]], [[1.0, 0], [0, -3.79128784747792], [-17.0, 0]], [[1.0, 0], [-2.58257569495584, 0], [19.0, 0]], [[1.0, 0], [0, -0.79128784747792], 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'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 3, 'label': '2-1100-5.4-c1-0-3', 'leading_term': '1.3902133499139845675187452281436489647858140053293372558', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/1100/2/b/d/749/3', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05859375', 'prec': 24}, 'plot_values': [1.3902133499139846, 1.257179803636147, 1.1250892558370242, 0.993638695802458, 0.8625413614777118, 0.7315880068219157, 0.600702504478973, 0.4699890279445878, 0.3397688873448605, 0.210605923052797, 0.08332007392580677, -0.04101072891347652, -0.16105984266016835, -0.2752716718395417, -0.3818911174629279, -0.4790018879135178, -0.5645728130592439, -0.6365112543402835, -0.6927226210235853, -0.7311748826095326, -0.7499668139508152, -0.7473985328613484, -0.7220427028445805, -0.6728145905032034, -0.5990390029581687, -0.5005119994813051, 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'6.55553196354825656720438605705972', '7.02510777925570319407286241154841', '7.64300291594859008223193863154160', '8.390910479282867117532091184312291', '9.770589560513343747675033790545889'], 'prelabel': '2-1100-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9637044762156783, 'root_angle': -0.42620819117478337, 'root_number': '-0.89442719099991587856366946749251049417624734384461028971 - 0.4472135954999579392818347337462552470881236719223051449*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.42620819117478337', 'prec': 57}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.62501305905652533546536089243', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.66072238751476767802702823504', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.12619379043241550266004382526', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 8.783544222340847, 'bad_primes': [2, 5, 11], 'central_character': '5.4', 'conductor': 1100, 'conductor_radical': 110, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1100/2/b/d/749/3'], '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': '2-1100-5.4-c1-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-1100-5.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.9637044762156783, 'root_angle': -0.42620819117478337, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.62501305905652533546536089243', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '792298179463486131813960406794', 'Lhash_array': ['792298179463486131813960406794'], 'factors': ['2-1100-5.4-c1-0-3'], 'label': '2-1100-5.4-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1100/2/b/d/749/3'}