Formats: - HTML - YAML - JSON - 2026-08-11T18:32:26.535011
  • lfunc_lfunctions • Show schema
    {'Lhash': '532870755920165717254462019958', 'a10': [3600359435685.686, 0], 'a2': [-4096.0, 0], 'a3': [0, 0], 'a4': [16777216.0, 0], 'a5': [-878994002.8529507, 0], 'a6': [0, 0], 'a7': [30038769972.75057, 0], 'a8': [-68719476736.0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 71.2794203914038, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '12.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [4096.0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '18.1', 'coefficient_field': 'CDF', 'conductor': 18, 'conductor_radical': 6, 'degree': 2, 'euler_factors': [[[1.0, 0], [4096.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [878994002.8529507, 0], [298023223876953150, 0]], [[1.0, 0], [-30038769972.75057, 0], [1341068619663965000000, 0]], [[1.0, 0], [5735990395886.508, 0], [108347059433883730000000000, 0]], [[1.0, 0], [10734310522826.703, 0], [7056410014866817000000000000, 0]], [[1.0, 0], [2974726950767118.0, 0], 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'2.01854088583459914493392596187629', '3.63730450553272444843802071264374', '4.94884701779025338058325453859161', '7.01820866281378949982093163759364', '7.946161488155440123082930209398618', '8.911294944649996145230102612745363', '10.86376683054453447314147730428016', '11.43309906837019624662161005762413', '12.83013168040266748110854379406459'], 'prelabel': '2-18-1.1-c25-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.442714041787973, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c25-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.42036090688098676328035739724', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.01854088583459914493392596188', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.63730450553272444843802071264', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 71.2794203914038, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 18, 'conductor_radical': 6, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/18/26/a/e/1/1'], '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': '2-18-1.1-c25-0-0', 'motivic_weight': 25, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [25], 'order_of_vanishing': 0, 'prelabel': '2-18-1.1-c25-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.442714041787973, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c25-0', 'z1': {'__RealLiteral__': 0, 'data': '0.42036090688098676328035739724', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '532870755920165717254462019958', 'Lhash_array': ['532870755920165717254462019958'], 'factors': ['2-18-1.1-c25-0-0'], 'label': '2-18-1.1-c25-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/18/26/a/e/1/1'}