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lfunc_lfunctions • Show schema
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{'Lhash': '3123523213351958763541330428722', 'a10': [0.3702822616587357, -2.0999750586721153], 'a2': [0.3702822616587357, 2.0999750586721153], 'a3': [1.7085851419177835, -1.4336731624181929], 'a4': [-2.393401052174029, 0.8711267416527565], 'a5': [-0.9396926207859084, -0.3420201433256687], 'a6': [3.6433366539516103, 3.0571224425854617], 'a7': [-0.7428124664246456, 1.286588932343037], 'a8': [-0.5832078261964984, -1.0101455863441344], 'a9': [0.34289991754323973, -1.9446820683113872], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.758578819202164, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0.9396926207859084, 0.3420201433256687]]], [19, [[1.0, 0], [1.6854020252291442, -4.01987810926569]]]], 'bad_primes': [5, 19], 'central_character': '95.66', 'coefficient_field': 'CDF', 'conductor': 95, 'conductor_radical': 95, 'conjugate': '3751753170150662112371049320500', 'degree': 2, 'euler_factors': [[[1.0, 0], 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{'__RealLiteral__': 0, 'data': '-0.189330283302', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.46402534956366977835825516478', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.73081985397925158346435092825', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.59979851843432751058428419106', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.758578819202164, 'bad_primes': [5, 19], 'central_character': '19.9', 'conductor': 95, 'conductor_radical': 95, 'degree': 2, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/95/2/k/a/66/3'], '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': '2-95-19.9-c1-0-2', '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': '2-95-19.9-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8709643042066443, 'root_angle': -0.18933028330177526, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.46402534956366977835825516478', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3123523213351958763541330428722', 'Lhash_array': ['3123523213351958763541330428722'], 'label': '2-95-19.9-c1-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/95/2/k/a/66/3'}