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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2, 2, -3, 0, 2, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 608256, 'disc_rad': 66, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[4, 1], [2, 1]]], [7, [[6, 1]]], [11, [0]], [13, [[3, 2]]], [17, [[4, 1], [2, 1]]], [19, [[4, 1], [2, 1]]], [23, [[3, 1], [2, 1], [1, 1]]], [29, [[6, 1]]], [31, [[4, 1], [2, 1]]], [37, [[3, 1], [2, 1], [1, 1]]], [41, [[4, 1], [2, 1]]], [43, [[4, 1], [2, 1]]], [47, [[3, 1], [2, 1], [1, 1]]], [53, [[4, 1], [2, 1]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [198, 36, 36], 'galois_label': '6T13', 'galt': 13, 'grd': 38.644657093393754, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.608256.1', 'local_algs': ['2.2.2.2', '2.4.9.8', '3.6.3.1', '11.1.0.1', '11.2.1.2', '11.3.0.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 2, 'ramps': [2, 3, 11], 'rd': 9.20480092386, 'regulator': {'__RealLiteral__': 0, 'data': '8.22878876759', 'prec': 44}, 'res': {'sex': ['16,-8,-21,-8,2,0,1'], 'sib': ['16,-8,-21,-8,2,0,1', '-272,-352,-456,-256,16,1024,248,288,140,-504,-438,496,528,80,-46,-32,-2,0,1', '-39,108,166,-764,877,-200,-320,240,-43,-20,14,-4,1', '-8,16,-192,384,802,-1676,-4290,-3824,-1728,-472,-488,-356,9,26,-7,8,-3,-2,1', '-8,4,0,-4,2,-3,0,2,-2,1', '12,0,44,0,113,0,108,0,38,0,8,0,1', '1342,2992,2962,3028,2145,596,180,-12,10,-20,-2,0,1', '14641,0,-10648,0,1815,0,-528,0,71,0,-8,0,1', '16,-32,16,48,-164,80,248,-264,-90,136,194,-344,204,-72,50,-48,27,-8,1', '16,-64,168,-272,334,-304,234,-148,83,-36,14,-4,1', '432,0,1008,0,660,0,272,0,72,0,12,0,1', '2808,-8640,13824,-7488,-648,960,14296,-23408,25018,-12368,9596,-9280,15446,-16824,17072,-13508,10211,-6364,3640,-1676,674,-204,52,-8,1', '2896,5888,26032,78816,-44136,-300288,322608,545888,-1080532,-130528,1782948,-1050664,-1353082,1874096,15016,-1408272,871184,307088,-710674,301344,175665,-254440,76424,55160,-59630,17096,8116,-9672,3436,368,-912,416,-66,-32,26,-8,1', '4,96,768,1664,-5720,-19928,52784,88904,-366119,36972,1044704,-1265148,-276171,2266792,-3246488,2904808,-2098417,1285196,-557280,-39036,323939,-441960,375168,-316488,206899,-136364,73312,-40836,18839,-8680,3528,-1256,441,-108,32,-4,1', '432,0,-1440,0,-32016,0,283712,0,-877304,0,996688,0,28000,0,-435344,0,-95293,0,144294,0,60701,0,-6248,0,-9090,0,-1836,0,50,0,104,0,39,0,6,0,1', '47524,0,400032,0,842384,0,603680,0,8532,0,-94824,0,44156,0,42432,0,4897,0,-972,0,-114,0,4,0,1']}, 'subfield_mults': [1], 'subfields': ['-3.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - 2 a^{4} + a^{3} + a^{2} - 3 a + 1 \\)', '\\( a^{4} - a^{3} - 1 \\)', '\\( a^{5} - a^{4} + a^{2} - a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}