Formats: - HTML - YAML - JSON - 2026-09-07T14:42:52.853352
  • lfunc_lfunctions • Show schema
    {'Lhash': '2035610814751039931723663599930', 'a10': [-3.4632070631977605, 1.5440621253203706], 'a2': [-1.406542487658318, -0.14709938957028543], 'a3': [0.8660254037844386, -0.5], 'a4': [1.9567235391760989, 0.4138030826784186], 'a5': [2.3220086409264056, -1.3406123138994974], 'a6': [-1.2916512205994064, 0.5758794355801081], 'a7': [-0.9504902300086696, -1.646297370472844], 'a8': [-2.6913446135880403, -0.8698644554817961], 'a9': [0.5, -0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.090715699489701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [1.406542487658318, 0.14709938957028543]]], [3, [[1.0, 0], [-0.8660254037844386, 0.5]]], [37, [[1.0, 0], [1.319018106840004, -5.938029238209274]]]], 'bad_primes': [2, 3, 37], 'central_character': '888.565', 'coefficient_field': 'CDF', 'conductor': 888, 'conductor_radical': 222, 'conjugate': '1117899129996966443451282474601', 'degree': 2, 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-14.997127589823853], [-56.5, -97.86087062764156]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 55, 'label': '2-888-296.269-c1-0-55', '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/888/2/bh/a/565/6', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [1.3672259251331147, 1.4947011247338127, 1.608919233903754, 1.7050814759095503, 1.7747679995097088, 1.8069855633070908, 1.7897852223014417, 1.7121748340004874, 1.5661085989471155, 1.348372987946296, 1.0621858963197155, 0.7183037718054031, 0.33541816298687716, -0.060359940385583566, -0.43707102085071065, -0.7595737699188926, -0.9932079672444305, -1.1081897867343098, -1.0843090672371511, -0.9153550531990169, -0.6126065922403093, -0.2067117722327034, 0.25262926302583766, 0.6995676018364627, 1.0576865594391185, 1.2479794823943795, 1.1985400507827568, 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'8.634291741395819596683014017879332', '9.580455981133323739202878850562650', '10.19704355657545716163311968923976'], 'prelabel': '2-888-296.269-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6628397810401023, 'root_angle': 0.22779646756860042, 'root_number': '0.13905681141613174 + 0.9902844052083111*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.227796467569', 'prec': 40}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.60581379000218673151443455853', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '2.68206551922755460182965289988', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.52752623552124237676033147555', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.090715699489701, 'bad_primes': [2, 3, 37], 'central_character': '296.269', 'conductor': 888, 'conductor_radical': 222, 'degree': 2, 'index': 55, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/888/2/bh/a/565/6'], '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': '2-888-296.269-c1-0-55', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-888-296.269-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6628397810401023, 'root_angle': 0.22779646756860042, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.60581379000218673151443455853', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2035610814751039931723663599930', 'Lhash_array': ['2035610814751039931723663599930'], 'factors': ['2-888-296.269-c1-0-55'], 'label': '2-888-296.269-c1-0-55', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/888/2/bh/a/565/6'}