Formats: - HTML - YAML - JSON - 2026-09-09T19:36:46.623256
  • lfunc_lfunctions • Show schema
    {'Lhash': '799886587313931655594947348101', 'a10': [0.0, 0.0], 'a2': [0.17364817766693036, 0.984807753012208], 'a3': [-1.4396926207859084, 1.2080455471101075], 'a4': [-0.9396926207859084, 0.3420201433256687], 'a5': [0.0, 0.0], 'a6': [-1.4396926207859084, -1.2080455471101075], 'a7': [0.0, 0.0], 'a8': [-0.5, -0.8660254037844386], 'a9': [0.4396926207859084, -2.493620766483186], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.8964470480054092, 'analytic_normalization': 0, 'bad_lfactors': [[2, [[1.0, 0], [-0.17364817766693036, -0.984807753012208]]], [5, [[1.0, 0], [0, 0]]], [19, [[1.0, 0], [-0.766044443118978, -0.6427876096865394]]]], 'bad_primes': [2, 5, 19], 'central_character': '3800.2251', 'coefficient_field': 'CDF', 'conductor': 3800, 'conductor_radical': 190, 'conjugate': '1754635636588993820164042130042', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.17364817766693036, -0.984807753012208]], [[1.0, 0], [1.4396926207859084, -1.2080455471101075], [0.17364817766693036, 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[0]], 'group': 'GL2', 'index': 1, 'label': '2-3800-152.123-c0-0-1', 'leading_term': '0.74537430118624076356486762108085', 'load_key': 'CMFs-workshop', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/3800/1/cv/b/2251/1', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.05078125', 'prec': 24}, 'plot_values': [0.7453743011862408, 0.6757294810865531, 0.6116710673206686, 0.5514381605564349, 0.4933702820969163, 0.4360681227468011, 0.3785039559329812, 0.32007902905358665, 0.26063618111878767, 0.2004402876472845, 0.14013844859333496, 0.08070880468165074, 0.023403552172359395, -0.030310876503323265, -0.07881516217047277, -0.12039953981780784, -0.15332719993976715, -0.17589848471488514, -0.18651549446325888, -0.18374642018049664, -0.16638860210432754, -0.13352902142814266, -0.08460068640505172, -0.019433190306237243, 0.06170439305985267, 0.1580701436377893, 0.2684272767435421, 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'6.61158215836580888091489957681813', '7.37443338735599821996370545621254', '8.182229085388036435641949091506199'], 'prelabel': '2-3800-152.123-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3771154809983834, 'root_angle': 0.3863733456793173, 'root_number': '-0.75578952300833260100880847543097 + 0.65481462789925293934193177847023*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.38637334567931725', 'prec': 57}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.63099925734261402372765677228', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.18107492302437985806795279995', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '2.48263908152278517162202162388', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.8964470480054092, 'bad_primes': [2, 5, 19], 'central_character': '152.123', 'conductor': 3800, 'conductor_radical': 190, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3800/1/cv/b/2251/1'], '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': '2-3800-152.123-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3800-152.123-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3771154809983834, 'root_angle': 0.3863733456793173, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.63099925734261402372765677228', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '799886587313931655594947348101', 'Lhash_array': ['799886587313931655594947348101'], 'factors': ['2-3800-152.123-c0-0-1'], 'label': '2-3800-152.123-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3800/1/cv/b/2251/1'}