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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 2, -1, 1, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 2665, 'disc_rad': 2665, 'disc_sign': 1, 'frobs': [[2, [[5, 1]]], [3, [[5, 1]]], [5, [0]], [7, [[4, 1], [1, 1]]], [11, [[5, 1]]], [13, [0]], [17, [[5, 1]]], [19, [[5, 1]]], [23, [[2, 1], [1, 3]]], [29, [[4, 1], [1, 1]]], [31, [[4, 1], [1, 1]]], [37, [[3, 1], [1, 2]]], [41, [0]], [43, [[3, 1], [2, 1]]], [47, [[4, 1], [1, 1]]], [53, [[2, 2], [1, 1]]], [59, [[4, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 51.62363799656123, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.2665.1', 'local_algs': ['5.2.1.2', '5.3.0.1', '13.2.1.1', '13.3.0.1', '41.1.0.1', '41.2.0.1', '41.2.1.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 2, 'ramps': [5, 13, 41], 'rd': 4.84327849939, 'regulator': {'__RealLiteral__': 0, 'data': '0.399660818464', 'prec': 47}, 'res': {'sib': ['-13654579,35637499,-14834743,-51589473,85297693,-47959489,-18461011,59515432,-52069614,19041144,5057386,-11486667,7939637,-2979134,55096,1091361,-1166518,726296,-215733,-64584,105152,-50400,6075,6555,-4267,946,175,-194,66,-12,1', '-1544531,11710834,-46695330,130282791,-274228036,446107386,-579426410,630869861,-598439899,494329491,-346861201,206321059,-108113743,50693784,-19740994,6461746,-2819786,1269614,256656,-771719,447670,-144308,54623,-25370,6458,-863,385,-125,7,-2,1', '-17635679,-2027003,147335,324,19573,-2343,-834,181,-26,-4,1', '-19042039,130928136,-137708258,-51270348,116114146,-2139491,-44535213,5386730,10002949,-912747,-1756025,74936,219060,1582,-18658,-1159,1139,88,-40,-4,1', '1,-1,1,-1,4,-1,-3,2,-1,-1,1', '1,-5,11,-13,28,-97,230,-360,481,-469,325,-138,-106,276,-361,439,-357,268,-138,-19,124,-201,147,-65,31,21,-33,14,0,-3,1', '1,3,1,5,15,-2,22,13,21,-14,61,-59,62,-40,43,-31,17,-6,5,-3,1', '1038436064,-3760618160,7860354120,-8338797096,766531778,11460790883,-18455557984,10838763206,5492380307,-15720978308,13842395956,-1390348601,-5591048606,5639736651,-709231050,-1767485968,1801724431,-794442925,93346442,75477272,-89177690,33484923,-7872032,-7244017,11241167,-9458342,6700573,-3590375,1625686,-618282,230579,-73362,19658,-4895,765,-358,152,-44,16,-4,1', '18577,37509,78789,7632,84907,-75822,70021,-57122,42468,-21278,11768,-2756,1083,-562,377,-143,57,6,4,-1,1', '456,1325,-858,-907,347,239,-270,170,-44,-10,13,-6,1', '53,-84,-38,-137,16,-260,134,-22,-11,59,-22,-6,6,3,-3,1', '594,23,-188,117,-17,-1,1', '65664,-72912,-54172,-67532,221447,93156,300904,1378,66527,-70836,61378,-45394,47045,-28228,21157,-10368,5147,-2870,1260,-460,176,-52,21,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} + a^{2} - a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}