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  • lfunc_lfunctions • Show schema
    {'Lhash': '2634056495617591391335650029959', 'a10': [-0.47901198580652127, -0.7453621570420779], 'a2': [1.1253745961397654, 0.8564648377856849], 'a3': [0.13042296318420482, -1.7271334200559758], 'a4': [0.5329359632734807, 1.92768754186195], 'a5': [-0.5887221994978762, -0.2142773568689559], 'a6': [1.6260037339632525, -1.8319693930678973], 'a7': [4.5742696387434325, 0.8065671543460303], 'a8': [-1.0512440034050305, 2.6258115022417288], 'a9': [-2.965979701348503, -0.45051571691634057], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 4}, 'bad_lfactors': [[2, [[1.0, 0], [-1.1253745961397654, -0.8564648377856849]]], [3, [[1.0, 0], [-0.13042296318420482, 1.7271334200559758]]]], 'bad_primes': [2, 3], 'central_character': '216.11', 'coefficient_field': 'CDF', 'conductor': 216, 'conductor_radical': 6, 'conjugate': '2540706884867478968547981404918', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'z1': {'__RealLiteral__': 0, 'data': '2.07790419153617926054218480636', 'prec': 100}, 'z2': {'__RealLiteral__': 0, 'data': '3.77264929527216609964762196288', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '4.74757067982967232722834473244', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.7247686836596572, 'bad_primes': [2, 3], 'central_character': '216.11', 'conductor': 216, 'conductor_radical': 6, 'degree': 2, 'index': 22, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/216/2/v/b/11/26'], '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': '2-6e3-216.11-c1-0-22', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-6e3-216.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.3133044900782367, 'root_angle': -0.03303508753580553, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.07790419153617926054218480636', 'prec': 100}}
  • lfunc_instances • Show schema
    {'Lhash': '2634056495617591391335650029959', 'Lhash_array': ['2634056495617591391335650029959'], 'factors': ['2-6e3-216.11-c1-0-22'], 'label': '2-6e3-216.11-c1-0-22', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/216/2/v/b/11/26'}