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  • lfunc_lfunctions • Show schema
    {'Lhash': '163457776961172210492251293648', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-0.8660254037844386, -0.5], 'a4': [0, 0], 'a5': [-1.8660254037844386, -1.2320508075688772], 'a6': [0, 0], 'a7': [0, 0], 'a8': [0, 0], 'a9': [0.5, 0.8660254037844386], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 23.476018194256444, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.8660254037844386, 0.5]]], [5, [[1.0, 0], [1.8660254037844386, 1.2320508075688772]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '2940.949', 'coefficient_field': 'CDF', 'conductor': 2940, 'conductor_radical': 210, 'conjugate': '1325616785997015602020256932139', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.8660254037844386, 0.5]], [[1.0, 0], [1.8660254037844386, 1.2320508075688772]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.0, 3.4641016151377544], [-5.5, -9.526279441628825]], [[1.0, 0], 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 23.476018194256444, 'bad_primes': [2, 3, 5, 7], 'central_character': '35.4', 'conductor': 2940, 'conductor_radical': 210, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2940/2/bb/c/949/1'], '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': '2-2940-35.4-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-2940-35.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.845205691635438, 'root_angle': -0.2834459027173244, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.12894544989900455822454417214', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '163457776961172210492251293648', 'Lhash_array': ['163457776961172210492251293648'], 'factors': ['2-2940-35.4-c1-0-0'], 'label': '2-2940-35.4-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2940/2/bb/c/949/1'}