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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -2, 1, 0, 1, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 497664, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[5, 1], [1, 1]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [[6, 1]]], [19, [[5, 1], [1, 1]]], [23, [[4, 1], [2, 1]]], [29, [[3, 2]]], [31, [[4, 1], [1, 2]]], [37, [[3, 1], [2, 1], [1, 1]]], [41, [[6, 1]]], [43, [[4, 1], [2, 1]]], [47, [[4, 1], [2, 1]]], [53, [[3, 1], [1, 3]]], [59, [[4, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [1860, 1320], 'galois_label': '6T16', 'galt': 16, 'grd': 44.91414352359198, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.497664.1', 'local_algs': ['2.6.11.15', '3.3.5.1', '3.3.0.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 3], 'rd': 8.90203650708, 'regulator': {'__RealLiteral__': 0, 'data': '6.01652511689', 'prec': 44}, 'res': {'sex': ['-18,0,27,-12,0,0,1'], 'sib': ['-1331,1936,3388,5684,941,-4336,332,-3964,4316,-2568,2712,-1932,1194,-936,588,-356,199,-80,28,-8,1', '-18,0,27,-12,0,0,1', '-2,-8,-6,8,5,6,1,-8,3,-2,1', '1,0,-4,4,-15,20,4,-60,62,180,96,-180,62,60,4,-20,-15,-4,-4,0,1', '1,1,1,11,33,21,-35,-29,-17,-17,-1,5,3,-1,-1,1', '10,12,-6,-44,-18,-36,-72,0,45,10,3,-6,1', '81,0,-702,0,2025,0,-2376,0,774,0,324,0,54,0,72,0,9,0,-6,0,1', '816,-891,162,-189,396,45,-538,435,-72,-65,30,9,-20,15,-6,1', '90,-72,-108,-48,24,108,-32,-20,-6,12,2,-4,1', '-144,1440,-7488,24768,-56448,87984,-79784,-14464,205432,-441520,629616,-695408,629584,-482392,322244,-194448,112340,-66072,41672,-26880,16896,-9436,4738,-2104,942,-428,208,-84,28,-6,1', '-2,36,138,460,834,528,127,-4344,-3306,-10028,1872,3036,19266,16872,2127,-10608,-19134,-9540,-330,2172,2646,968,141,216,42,60,24,-4,6,0,1', '-4,0,588,0,-372,0,-3584,0,16260,0,-30492,0,28959,0,-21639,0,23496,0,-22408,0,12282,0,-3414,0,360,0,24,0,-9,0,1', '-6,36,-84,72,42,-228,559,-1212,2036,-2648,3581,-5588,7610,-7928,7074,-7472,9408,-9848,7629,-5516,5038,-4584,3178,-1788,1122,-828,521,-232,68,-12,1', '2916,0,4536,0,-9180,0,53784,0,-80892,0,170568,0,-148176,0,178416,0,-69255,0,4698,0,62061,0,-61426,0,41058,0,-3318,0,-4875,0,2166,0,582,0,-86,0,-15,0,6,0,1', '388,-352,11160,36664,-56176,87408,155268,-714732,488067,584804,-1650644,1168008,655225,-2090344,1406808,938416,-1730689,268728,1227852,-693792,-515460,688020,43572,-406884,156416,137140,-124128,-7468,52162,-18624,-9692,9428,-1281,-1824,972,-36,-145,52,0,-4,1', '588,2520,-16596,50808,-18216,-50760,222676,124116,235713,355778,60495,228120,117639,-17502,138141,-22664,11334,37500,-25262,16056,630,-3732,4254,-2604,1469,-726,291,-104,27,-6,1', '64,0,5248,0,-8864,0,-42528,0,45444,0,115824,0,463696,0,727888,0,949336,0,787816,0,464140,0,44056,0,-110528,0,-64424,0,8320,0,8876,0,-1171,0,-148,0,34,0,-8,0,1', '64,4992,-31512,81632,-126672,218112,-225224,115200,-36768,30640,11748,-133728,139624,-49056,25248,-39928,6000,42624,-35478,2232,5964,-96,-864,-372,304,168,-24,-24,-6,0,1', '8146,155904,545424,75944,-2743764,-4331916,1322176,7260312,317874,-9965632,-6006882,1265220,-2329071,-5071296,-178536,2726824,1247028,-340656,-717150,-325812,43821,155592,99456,-33564,-39938,3876,4854,1544,27,-564,76,84,-30,-12,-6,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - 2 a^{4} + a^{3} + a - 2 \\)', '\\( a^{3} - 2 a^{2} + 2 a \\)', '\\( a^{2} - a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}