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  • lfunc_lfunctions • Show schema
    {'Lhash': '3798640997766904339425832705298', 'a10': [-0.6910611608349982, 1.6683692269171475], 'a2': [-1.2769145244178906, -1.2769145244178906], 'a3': [0.635552476181162, -0.26325445523404073], 'a4': [0.0, 1.2610214053387354], 'a5': [-0.3826834323650898, -0.9238795325112867], 'a6': [-1.1476996253715472, -0.4753927503594152], 'a7': [1.6615840777911508, -4.011418815626588], 'a8': [-0.9436125007568898, 0.9436125007568898], 'a9': [-1.7866963017802076, 1.7866963017802076], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6787284171808836, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0.3826834323650898, 0.9238795325112867]]], [17, [[1.0, 0], [-3.1220171516640227, -2.693141085185784]]]], 'bad_primes': [5, 17], 'central_character': '85.36', 'coefficient_field': 'CDF', 'conductor': 85, 'conductor_radical': 85, 'conjugate': '1696467079519007541070180965752', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'6.71503010222998048490363436435', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 0.6787284171808836, 'bad_primes': [5, 17], 'central_character': '17.2', 'conductor': 85, 'conductor_radical': 85, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/85/2/l/a/36/2'], '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': '2-85-17.2-c1-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-85-17.2-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8238497540091176, 'root_angle': 0.308188838209872, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.99659937610804764127536307363', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '3798640997766904339425832705298', 'Lhash_array': ['3798640997766904339425832705298'], 'factors': ['2-85-17.2-c1-0-3'], 'label': '2-85-17.2-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/85/2/l/a/36/2'}