Formats: - HTML - YAML - JSON - 2026-10-25T16:58:05.451574
  • lfunc_lfunctions • Show schema
    {'Lhash': '754039972751273205095771916379', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-1.0, 0.0], 'a4': [0.0, 0.0], 'a5': [-3.832211654587249, 0.0], 'a6': [0.0, 0.0], 'a7': [-3.1965575937442616, 0.0], 'a8': [0.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.090715699489701, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [1.0, 0]]], [37, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 37], 'central_character': '888.1', 'coefficient_field': 'CDF', 'conductor': 888, 'conductor_radical': 222, 'conjugate': '754039972751273205095771916379', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [3.832211654587249, 0], [5.0, 0]], [[1.0, 0], [3.1965575937442616, 0], [7.0, 0]], [[1.0, 0], [3.4892885718100786, 0], [11.0, 0]], [[1.0, 0], [-5.489288571810079, 0], [13.0, 0]], [[1.0, 0], [7.321500226397328, 0], [17.0, 0]], [[1.0, 0], 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[109.0, 0]], [[1.0, 0], [-12.182481129316088, 0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 0, 'label': '2-888-1.1-c1-0-0', '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/a/i/1/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 10}, 'plot_values': [0.5638186196563997, 0.5417226178366324, 0.4735822630162058, 0.35435457619995575, 0.1772046302161214, -0.06455564464052742, -0.3753626839252301, -0.75542381718752, -1.1990735915092043, -1.693627511014849, -2.2188870978473716, -2.7474415305177766, -3.24587816190192, -3.6769457310617395, -4.00261096702283, -4.187821367372706, -4.204650654927854, -4.036379885592429, -3.680979862132046, -3.153432109508937, -2.486374357496076, -1.7286918706904466, -0.9418955561220823, -0.19441460029347823, 0.4457463198055892, 0.9192217949941267, 1.1833564141753083, 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'6.81613009099625310220989670515014', '7.42237357197326266088932587147068', '8.498727339090849702076884371993273', '9.107604262707099750743768015659649', '10.48256426089397231946001056785294'], 'prelabel': '2-888-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6628397810401023, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.59483265547739645620447074888', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.91029178589123099822265764447', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.79340636959595206212594506603', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.090715699489701, 'bad_primes': [2, 3, 37], 'central_character': '1.1', 'conductor': 888, 'conductor_radical': 222, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/888/2/a/i/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': '2-888-1.1-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-888-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6628397810401023, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.59483265547739645620447074888', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '754039972751273205095771916379', 'Lhash_array': ['754039972751273205095771916379'], 'factors': ['2-888-1.1-c1-0-0'], 'label': '2-888-1.1-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/888/2/a/i/1/1'}