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'9.662372757456259049738045808430330'], 'prelabel': '8-1560e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.5293997670028463, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1e4-0', 'trace_hash': 528537408089338330, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.31675666032518715080683484954', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.821826898942895902373244117234', 'prec': 107}, 'z3': {'__RealLiteral__': 0, 'data': '1.33440431811206201798467641212', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 24077.246635059513, 'bad_primes': [2, 3, 5, 13], 'central_character': '1.1', 'conductor': 5922408960000, 'conductor_radical': 390, 'degree': 8, 'dirichlet_coefficients': [1, 0, 2, 0, 4, 0, -5, 0, 1, 0, -5, 0, 1, 0, 8, 0, 4, 0, 2, 0, -10, 0, -5, 0, 10, 0, -2, 0, -5, 0, 0, 0, -10, 0, -20, 0, -5, 0, 2, 0, 4, 0, 4, 0, 4, 0, 18, 0, 16, 0, 8, 0, -12, 0, -20, 0, 4, 0, -5, 0, -9, 0, -5, 0, 4, 0, 9, 0, -10, 0, 0, 0, 26, 0, 20, 0, 25, 0, -36, 0, -4, 0, 4, 0, 16, 0, -10, 0, -4, 0, -5, 0, 0, 0, 8, 0, -21, 0, -5, 0], 'euler11': [1, 5, 1, 10, 180, 110, 121, 6655, 14641], 'euler13': [1, -1, -12, -13, 169, 0, 0, 0, 0], 'euler17': [1, -4, -22, -16, 883, -272, -6358, -19652, 83521], 'euler19': [1, -2, -18, 32, 47, 608, -6498, -13718, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 5, -23, 10, 1200, 230, -12167, 60835, 279841], 'euler29': [1, 5, -1, -160, -890, -4640, -841, 121945, 707281], 'euler3': [1, -2, 3, -2, 1, 0, 0, 0, 0], 'euler31': [1, 0, 90, 0, 3947, 0, 86490, 0, 923521], 'euler37': [1, 5, -51, 10, 3482, 370, -69819, 253265, 1874161], 'euler41': [1, -4, -70, -16, 5059, -656, -117670, -275684, 2825761], 'euler43': [1, -4, -57, 52, 2792, 2236, -105393, -318028, 3418801], 'euler47': [1, -18, 301, -2826, 24132, -132822, 664909, -1868814, 4879681], 'euler5': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler53': [1, 12, 232, 1812, 19038, 96036, 651688, 1786524, 7890481], 'euler59': [1, 5, -61, -160, 2440, -9440, -212341, 1026895, 12117361], 'euler61': [1, 9, -23, -162, 2154, -9882, -85583, 2042829, 13845841], 'euler67': [1, -9, -69, -144, 12584, -9648, -309741, -2706867, 20151121], 'euler7': [1, 5, 9, 10, 32, 70, 441, 1715, 2401], 'euler71': [1, 0, -142, 0, 15123, 0, -715822, 0, 25411681], 'euler73': [1, -26, 537, -6682, 69188, -487786, 2861673, -10114442, 28398241], 'euler79': [1, 36, 666, 9000, 92915, 711000, 4156506, 17749404, 38950081], 'euler83': [1, -4, 32, -388, 14638, -32204, 220448, -2287148, 47458321], 'euler89': [1, 4, -166, 16, 23779, 1424, -1314886, 2819876, 62742241], 'euler97': [1, 21, 141, 2226, 37814, 215922, 1326669, 19166133, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 3, -2, 1, 0, 0, 0, 0], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 5, 9, 10, 32, 70, 441, 1715, 2401], [1, 5, 1, 10, 180, 110, 121, 6655, 14641], [1, -1, -12, -13, 169, 0, 0, 0, 0], [1, -4, -22, -16, 883, -272, -6358, -19652, 83521], [1, -2, -18, 32, 47, 608, -6498, -13718, 130321], [1, 5, -23, 10, 1200, 230, -12167, 60835, 279841], [1, 5, -1, -160, -890, -4640, -841, 121945, 707281], [1, 0, 90, 0, 3947, 0, 86490, 0, 923521], [1, 5, -51, 10, 3482, 370, -69819, 253265, 1874161], [1, -4, -70, -16, 5059, -656, -117670, -275684, 2825761], [1, -4, -57, 52, 2792, 2236, -105393, -318028, 3418801], [1, -18, 301, -2826, 24132, -132822, 664909, -1868814, 4879681], [1, 12, 232, 1812, 19038, 96036, 651688, 1786524, 7890481], [1, 5, -61, -160, 2440, -9440, -212341, 1026895, 12117361], [1, 9, -23, -162, 2154, -9882, -85583, 2042829, 13845841], [1, -9, -69, -144, 12584, -9648, -309741, -2706867, 20151121], [1, 0, -142, 0, 15123, 0, -715822, 0, 25411681], [1, -26, 537, -6682, 69188, -487786, 2861673, -10114442, 28398241], [1, 36, 666, 9000, 92915, 711000, 4156506, 17749404, 38950081], [1, -4, 32, -388, 14638, -32204, 220448, -2287148, 47458321], [1, 4, -166, 16, 23779, 1424, -1314886, 2819876, 62742241], [1, 21, 141, 2226, 37814, 215922, 1326669, 19166133, 88529281]], 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1560/2/bg/f'], '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': '8-1560e4-1.1-c1e4-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-1560e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.5293997670028463, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 528537408089338330, 'z1': {'__RealLiteral__': 0, 'data': '0.31675666032518715080683484954', 'prec': 103}}
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{'Lhash': '401536770587512869838686658268,1041789361728666417660613049131,1691558434801896583212818111941,2631774448405548336522560677299', 'Lhash_array': ['401536770587512869838686658268', '1041789361728666417660613049131', '1691558434801896583212818111941', '2631774448405548336522560677299'], 'label': '8-1560e4-1.1-c1e4-0-2', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1560/2/bg/f'}