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  • lfunc_lfunctions • Show schema
    {'Lhash': '409528580030423878572135649586', 'a10': [-8.499041073321534, -5.269373855971272], 'a2': [0.6916985632447425, 1.8765801601863852], 'a3': [-1.9759858854045693, 3.422507948559687], 'a4': [-3.0431061952103176, 2.596055601229023], 'a5': [-3.94179423352377, 3.076078383357413], 'a6': [-7.789397112273545, -1.3407520786460958], 'a7': [-2.569126408130059, 0.0], 'a8': [-6.976618619035274, -3.914944781798378], 'a9': [-3.309040438636159, -5.731426164017831], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.354250045691284, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 7}, 'bad_lfactors': [[2, [[1.0, 0], [-0.6916985632447425, -1.8765801601863852]]], [5, [[1.0, 0], [3.94179423352377, -3.076078383357413]]], [19, [[1.0, 0], [-15.328106354849524, -11.227161510124528]]]], 'bad_primes': [2, 5, 19], 'central_character': '380.239', 'coefficient_field': 'CDF', 'conductor': 380, 'conductor_radical': 190, 'conjugate': '4084336773819227059772905649153', 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  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 10.354250045691284, 'bad_primes': [2, 5, 19], 'central_character': '380.239', 'conductor': 380, 'conductor_radical': 190, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/380/3/p/a/239/72'], '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': '2-380-380.239-c2-0-10', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-380-380.239-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.217802051974497, 'root_angle': 0.18219625070128412, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.32306108635667575922425058733', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '409528580030423878572135649586', 'Lhash_array': ['409528580030423878572135649586'], 'factors': ['2-380-380.239-c2-0-10'], 'label': '2-380-380.239-c2-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/380/3/p/a/239/72'}