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lfunc_lfunctions • Show schema
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{'Lhash': '1258246059654621409260788982489', 'a10': [0.3472963553338607, -1.046299022983807e-80], 'a2': [0.5, -0.8660254037844386], 'a3': [0.17364817766693036, 0.984807753012208], 'a4': [-0.5, -0.8660254037844386], 'a5': [0.17364817766693036, 0.3007674663608706], 'a6': [0.9396926207859084, 0.3420201433256687], 'a7': [-0.9396926207859084, 1.6275953626987474], 'a8': [-1.0, 3.9689140359382235e-80], 'a9': [-0.9396926207859084, 0.3420201433256687], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.46712485182449026, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.5, 0.8660254037844386]]], [3, [[1.0, 0], [-0.17364817766693036, -0.984807753012208]]], [13, [[1.0, 0], [-0.5, -0.8660254037844386]]]], 'bad_primes': [2, 3, 13], 'central_character': '936.259', 'coefficient_field': 'CDF', 'conductor': 936, 'conductor_radical': 78, 'conjugate': '2787322525064077531249669769241', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.5, 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{'__RealLiteral__': 0, 'data': '-0.1111111111111111', 'prec': 64}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.992581125609915865638302776907', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '3.18856189737395708491296367380', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.67665001129766546784627538157', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.46712485182449026, 'bad_primes': [2, 3, 13], 'central_character': '936.259', 'conductor': 936, 'conductor_radical': 78, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/936/1/bs/b/259/2'], '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': '2-936-936.259-c0-0-1', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-936-936.259-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6834653259855179, 'root_angle': -0.11111111111111113, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.992581125609915865638302776907', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1258246059654621409260788982489', 'Lhash_array': ['1258246059654621409260788982489'], 'factors': ['2-936-936.259-c0-0-1'], 'label': '2-936-936.259-c0-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/936/1/bs/b/259/2'}