Formats: - HTML - YAML - JSON - 2026-10-16T02:47:06.111087
  • lfunc_lfunctions • Show schema
    {'Lhash': '1587436773538285731639456804367', 'a10': [-20.6579372631522, 0.0], 'a2': [4.1315874526304395, 0.0], 'a3': [8.071293623393153, 0.0], 'a4': [9.070014878733284, 0.0], 'a5': [-5.0, 0.0], 'a6': [33.34725546090723, 0.0], 'a7': [3.7983521877650386, 0.0], 'a8': [4.420860047102318, 0.0], 'a9': [38.14578075502698, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 85.25775995829522, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 7}, 'bad_lfactors': [[5, [[1.0, 0], [5.0, 0]]], [17, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 17], 'central_character': '1445.1', 'coefficient_field': 'CDF', 'conductor': 1445, 'conductor_radical': 85, 'degree': 2, 'euler_factors': [[[1.0, 0], [-4.1315874526304395, 0], [8.0, 0]], [[1.0, 0], [-8.071293623393153, 0], [27.0, 0]], [[1.0, 0], [5.0, 0]], [[1.0, 0], [-3.7983521877650386, 0], [343.0, 0]], [[1.0, 0], [-34.04391032519324, 0], [1331.0, 0]], [[1.0, 0], [-41.770050951696405, 0], [2197.0, 0]], [[1.0, 0], [0, 0]], 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'3.36514877090492704981077074053087', '3.82709224345710291014396915371768', '4.63922710512167433531948222647534', '5.69696502921624616358892932188559', '6.74769389410829546384133383383230', '7.40411119393260734682546125432606', '8.493254560600903518139404980501293', '8.904585388914063090622103238528975'], 'prelabel': '2-1445-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.233512872049035, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.25226681015453440170635485980', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.48359745429594197218572258500', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.36514877090492704981077074053', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 85.25775995829522, 'bad_primes': [5, 17], 'central_character': '1.1', 'conductor': 1445, 'conductor_radical': 85, 'degree': 2, 'index': 188, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1445/4/a/r/1/7'], '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': '2-1445-1.1-c3-0-188', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-1445-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 9.233512872049035, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.25226681015453440170635485980', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '1587436773538285731639456804367', 'Lhash_array': ['1587436773538285731639456804367'], 'factors': ['2-1445-1.1-c3-0-188'], 'label': '2-1445-1.1-c3-0-188', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1445/4/a/r/1/7'}