Formats: - HTML - YAML - JSON - 2026-09-04T17:11:59.584181
  • lfunc_lfunctions • Show schema
    {'Lhash': '1981632938692661913117563234045', 'a10': [0.0, 0.0], 'a2': [0.17364817766693036, 0.984807753012208], 'a3': [1.1736481776669303, -0.984807753012208], 'a4': [-0.9396926207859084, 0.3420201433256687], 'a5': [0.0, 0.0], 'a6': [1.1736481776669303, 0.984807753012208], 'a7': [0.0, 0.0], 'a8': [-0.5, -0.8660254037844386], 'a9': [0.23395555688102196, -1.3268278963378768], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8964470480054092, 'analytic_normalization': 0, 'bad_lfactors': [[2, [[1.0, 0], [-0.17364817766693036, -0.984807753012208]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-0.17364817766693036, 0.984807753012208]]]], 'bad_primes': [2, 5, 19], 'central_character': '3800.2251', 'coefficient_field': 'CDF', 'conductor': 3800, 'conductor_radical': 190, 'conjugate': '1132796078848376415824315943127', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.17364817766693036, -0.984807753012208]], [[1.0, 0], [-1.1736481776669303, 0.984807753012208], [0.17364817766693036, 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[0]], 'group': 'GL2', 'index': 5, 'label': '2-3800-152.123-c0-0-5', 'leading_term': '1.8064125012241950526300549290994', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3800/1/cv/e/2251/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 24}, 'plot_values': [1.806412501224195, 1.8579793646628506, 1.9203647282986473, 1.9932071210040716, 2.075162172392577, 2.164084161233108, 2.2572444094543727, 2.351544414821999, 2.443698825523991, 2.53038035723912, 2.608329906005335, 2.6744399323004435, 2.725819675402388, 2.7598491240145844, 2.7742264389322533, 2.767011464835825, 2.7366663526537116, 2.682093163043624, 2.60266756343111, 2.4982672770296084, 2.3692937164106933, 2.216685179863715, 2.0419200662929513, 1.847008746324273, 1.6344729940564586, 1.4073122203524828, 1.1689561416227052, 0.9232039550833668, 0.6741505593936729, 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'6.29433553104965002266899280784327', '7.74646163338743878916965572972308', '8.164826046355360661569260674712672', '8.993304511775089781572505851125978'], 'prelabel': '2-3800-152.123-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3771154809983834, 'root_angle': 0.05304001234598393, 'root_number': '0.94498086403457377128731616498729 + 0.32712561288971305414258192043632*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.05304001234598393', 'prec': 54}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.56323275383286706708476674064', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.50227271882891344922748469175', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.24985887428549356795438023698', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.8964470480054092, 'bad_primes': [2, 5, 19], 'central_character': '152.123', 'conductor': 3800, 'conductor_radical': 190, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3800/1/cv/e/2251/1'], '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': '2-3800-152.123-c0-0-5', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3800-152.123-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3771154809983834, 'root_angle': 0.05304001234598393, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.56323275383286706708476674064', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1981632938692661913117563234045', 'Lhash_array': ['1981632938692661913117563234045'], 'factors': ['2-3800-152.123-c0-0-5'], 'label': '2-3800-152.123-c0-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3800/1/cv/e/2251/1'}