Formats: - HTML - YAML - JSON - 2026-07-26T05:10:52.876216
  • lfunc_lfunctions • Show schema
    {'Lhash': '1867203429486001287566421444830', 'a10': [-2300296.695931257, 0], 'a2': [128.0, 0], 'a3': [618.0026543491591, 0], 'a4': [16384.0, 0], 'a5': [-17971.067936962947, 0], 'a6': [79104.33975669237, 0], 'a7': [0, 0], 'a8': [2097152.0, 0], 'a9': [-13966979.719217394, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 139.8396349979221, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '7.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-128.0, 0]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7], 'central_character': '98.1', 'coefficient_field': 'CDF', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'euler_factors': [[[1.0, 0], [-128.0, 0]], [[1.0, 0], [-618.0026543491591, 0], [14348907.0, 0]], [[1.0, 0], [17971.067936962947, 0], [30517578125.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [34878657.119200915, 0], [4177248169415651.0, 0]], [[1.0, 0], [-186835272.89780515, 0], [51185893014090760, 0]], [[1.0, 0], [-9775449.873618286, 0], [2862423051509816000, 0]], 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'spectral_label': 'c15-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.47296378761610466156248482449', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.83067333542727323511022739837', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.61170451383665789850308969139', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 139.8396349979221, 'bad_primes': [2, 7], 'central_character': '1.1', 'conductor': 98, 'conductor_radical': 14, 'degree': 2, 'index': 43, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/98/16/a/j/1/3'], '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': '2-98-1.1-c15-0-43', 'motivic_weight': 15, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [15], 'order_of_vanishing': 1, 'prelabel': '2-98-1.1-c15-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 11.825380966291196, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c15-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47296378761610466156248482449', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '1867203429486001287566421444830', 'Lhash_array': ['1867203429486001287566421444830'], 'factors': ['2-98-1.1-c15-0-43'], 'label': '2-98-1.1-c15-0-43', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/98/16/a/j/1/3'}