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  • lfunc_lfunctions • Show schema
    {'Lhash': '459950273663062063066341120561', 'a10': [1.0, -3.111507638930571e-61], 'a2': [-0.5, -0.8660254037844386], 'a3': [0.0, -1.7320508075688772], 'a4': [-0.5, 0.8660254037844386], 'a5': [-0.5, 0.8660254037844386], 'a6': [-1.5, 0.8660254037844386], 'a7': [0.0, 0.0], 'a8': [1.0, 0.0], 'a9': [-3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.042805458276933, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [0.5, 0.8660254037844386]]], [3, [[1.0, 0], [0, 1.7320508075688772]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 7], 'central_character': '882.589', 'coefficient_field': 'CDF', 'conductor': 882, 'conductor_radical': 42, 'conjugate': '1868087245170942462183024492429', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5, 0.8660254037844386]], [[1.0, 0], [0, 1.7320508075688772]], [[1.0, 0], [0.5, -0.8660254037844386], [-2.5, -4.330127018922194]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.0, 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 7.042805458276933, 'bad_primes': [2, 3, 7], 'central_character': '9.4', 'conductor': 882, 'conductor_radical': 42, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/882/2/f/b/589/1'], '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': '2-882-9.4-c1-0-3', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-882-9.4-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6538284530611493, 'root_angle': -0.11111111111111113, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.36283678923849524452357290607', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '459950273663062063066341120561', 'Lhash_array': ['459950273663062063066341120561'], 'factors': ['2-882-9.4-c1-0-3'], 'label': '2-882-9.4-c1-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/882/2/f/b/589/1'}