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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 3, 5, -2, -3, 0, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 6219763, 'disc_rad': 51403, 'disc_sign': -1, 'frobs': [[2, [[6, 1]]], [3, [[3, 1], [2, 1], [1, 1]]], [5, [[3, 1], [2, 1], [1, 1]]], [7, [[6, 1]]], [11, [0]], [13, [[4, 1], [2, 1]]], [17, [[2, 3]]], [19, [[4, 1], [2, 1]]], [23, [[3, 2]]], [29, [[6, 1]]], [31, [[3, 1], [2, 1], [1, 1]]], [37, [[2, 2], [1, 2]]], [41, [[2, 3]]], [43, [[4, 1], [2, 1]]], [47, [[2, 1], [1, 4]]], [53, [[2, 2], [1, 2]]], [59, [[3, 1], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 36], 'galois_label': '6T13', 'galt': 13, 'grd': 226.72229709492623, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.0.6219763.1', 'local_algs': ['11.6.3.2', 'm4673.1.1.0', 'm4673.2.1.1', 'm4673.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 3, 'ramps': [11, 4673], 'rd': 13.5611225117, 'regulator': {'__RealLiteral__': 0, 'data': '8.39587008098', 'prec': 44}, 'res': {'sex': ['724,-696,-23,103,-15,-2,1'], 'sib': ['724,-696,-23,103,-15,-2,1', '-1,5,0,21,5,25,-3,-10,0,1', '-176,0,1575,0,-5,0,-437,0,150,0,-20,0,1', '-260876,0,-170005,0,57640,0,-3070,0,-408,0,19,0,1', '118710084461,-966286448,5028603552,-23659652,22156849,-1349682,-1620146,-2448,23185,-82,-145,-6,1', '1331,0,3025,0,-1122,0,-420,0,2601,0,-506,0,-156,0,105,0,-18,0,1', '149672,-647000,-1869350,131781,525745,500350,259043,-310950,-210900,83035,62775,-11450,-10327,815,975,-21,-50,0,1', '286727941,-157644528,-80169679,191135767,-74859657,-20850921,33695137,-24804527,11544417,-3628984,946287,-146812,24532,-3737,1090,-274,-2,0,1', '42140305,-11267896,11731942,-2636053,1452739,-268097,103900,-15160,4465,-466,105,-6,1', '587536,-795220,218525,112495,13690,-18075,-2961,1805,475,-90,-30,0,1', '9,33,14,-38,88,-39,45,-15,31,-17,19,-6,1', '-1608489112,7107964484,-5764541136,-47006518905,180154972260,-291661619930,171236918701,242378141784,-710666752306,941486085026,-872310273534,640712939366,-399387069532,218840713396,-108075730824,50889663865,-24257110916,11707202118,-5397645000,2248847144,-832282502,278671173,-93352566,32546764,-10568349,2978908,-843050,267698,-65894,8566,-1415,276,64,-50,4,0,1', '1099813754379591,-242030758979487,594345756417931,-131566516396880,145419566128461,-33671741933405,21946686082081,-5238880565891,2362159912396,-537849136924,198505933911,-37300323445,13536044249,-1740659285,734847335,-53272358,30139479,-1008294,878899,-10390,16974,-42,194,0,1', '22401707584,-196845620960,593434342720,-716409640968,844762417360,-1170055642530,1208968874595,-680364106225,852426142450,-661545001253,650626632180,-634821386060,282357327895,-70880109335,181857814065,-49655616329,1241243570,-8164309670,10062826579,530758975,-1402336790,-768544110,189080770,165915455,361627,-24845915,-2319250,2290552,397965,-145795,-34435,5545,1910,-114,-60,0,1', '78316109,-375382675,626544911,149763364,-1465407328,908029811,1009594419,-1268740763,330827792,404021924,-1293746596,555121327,1441000100,-787116251,-1058260973,536195795,579892414,-256473903,-250891853,97786719,89501505,-30952474,-27010815,7981921,6880165,-1551793,-1403655,207514,212610,-17493,-22281,834,1501,-18,-58,0,1', '8975428,2417338,21955547,-44515140,29363495,-56200851,93824860,-59231776,16495548,-13842812,15938521,-8261418,3044518,-1632138,905208,-339680,108182,-41607,15757,-4352,1005,-264,70,-12,1']}, 'subfield_mults': [1], 'subfields': ['3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{3} + 2 a^{2} + a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}
Number field data - 6.0.6219763.1