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  • lfunc_lfunctions • Show schema
    {'Lhash': '667689547802409700340270602754', 'a10': [-106443.95901722583, -184366.3451766145], 'a2': [-16.0, 27.712812921102035], 'a3': [234.29420923929032, 405.8094743216243], 'a4': [-512.0, -886.8100134752651], 'a5': [-3326.3737192883073, 5761.448286769203], 'a6': [-14994.82939131458, -4.345491867769639e-60], 'a7': [12255.291529081469, 42744.994707418366], 'a8': [32768.0, 0.0], 'a9': [-21214.05296612871, 36743.81757179217], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.756804527834246, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [16.0, -27.712812921102035]]], [7, [[1.0, 0], [-12255.291529081469, -42744.994707418366]]]], 'bad_primes': [2, 7], 'central_character': '14.9', 'coefficient_field': 'CDF', 'conductor': 14, 'conductor_radical': 14, 'conjugate': '3705458201602955998561544355070', 'degree': 2, 'euler_factors': [[[1.0, 0], [16.0, -27.712812921102035]], [[1.0, 0], [-234.29420923929032, 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{'__RealLiteral__': 0, 'data': '0.52671418108601694980555588643', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '2.04613389530688819008975471976', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.33239168363233163803346682112', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 10.756804527834246, 'bad_primes': [2, 7], 'central_character': '7.2', 'conductor': 14, 'conductor_radical': 14, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/14/12/c/a/9/3'], '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': '2-14-7.2-c11-0-1', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-14-7.2-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.2797567787618407, 'root_angle': 0.44547471618901163, 'self_dual': False, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '0.52671418108601694980555588643', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '667689547802409700340270602754', 'Lhash_array': ['667689547802409700340270602754'], 'factors': ['2-14-7.2-c11-0-1'], 'label': '2-14-7.2-c11-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/14/12/c/a/9/3'}