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  • lfunc_lfunctions • Show schema
    {'Lhash': '3681235664684622704315405414454', 'a10': [2.159115111048046, -2.814961106421247], 'a2': [1.1925859759888857, -0.7600912378620324], 'a3': [-1.0879841986643177, -1.3476981796592151], 'a4': [0.8445226202507267, -1.8129483014925845], 'a5': [2.357278836947394, -0.8579793305145039], 'a6': [-2.321888275066152, -0.7802786925902372], 'a7': [-2.0902480330222164, 0.3685671245946152], 'a8': [-0.3708402853449636, -2.8040109633817885], 'a9': [-0.6325807669135244, 2.932548648075782], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.1925859759888857, 0.7600912378620324]]], [3, [[1.0, 0], [1.0879841986643177, 1.3476981796592151]]]], 'bad_primes': [2, 3], 'central_character': '216.59', 'coefficient_field': 'CDF', 'conductor': 216, 'conductor_radical': 6, 'conjugate': '1835838742383564298665343257057', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.90398289877498454650779121900', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.09626588037353195540020051713', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.53972073647293888948580046782', 'prec': 103}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'bad_primes': [2, 3], 'central_character': '216.59', 'conductor': 216, 'conductor_radical': 6, 'degree': 2, 'index': 30, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/216/2/v/b/59/28'], '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': '2-6e3-216.59-c1-0-30', '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': '2-6e3-216.59-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3133044900782367, 'root_angle': 0.28442215529798104, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.90398289877498454650779121900', 'prec': 103}}
  • lfunc_instances • Show schema
    {'Lhash': '3681235664684622704315405414454', 'Lhash_array': ['3681235664684622704315405414454'], 'factors': ['2-6e3-216.59-c1-0-30'], 'label': '2-6e3-216.59-c1-0-30', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/216/2/v/b/59/28'}