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Results (displaying all 12 matches)

Label Polynomial Discriminant Galois group Class group
19.1.10815458299480431456523111242468235.1 x19 + 4x - 1 \( -\,5\cdot 2163091659896086291304622248493647 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.548094260098239721967798220029627691.1 x19 - 8x - 9 \( -\,3^{24}\cdot 17\cdot 114155336693962142789083 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.23976117513740420672436156995468001280.1 x19 + 6x - 2 \( -\,2^{18}\cdot 5\cdot 31\cdot 257\cdot 6421\cdot 357578538648256624004557 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.448505581571226634783768244167535561611.1 x19 + 7x - 1 \( -\,79\cdot 457\cdot 2027\cdot 182271319\cdot 561194741\cdot 59915457959389 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.5670414999880736741470410116390142413707.1 x19 + 8x - 1 \( -\,107\cdot 179\cdot 13183\cdot 140863\cdot 7165345423\cdot 22249984821389557 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.5670415000399365605264171701583869640704.1 x19 + 8x - 2 \( -\,2^{18}\cdot 17\cdot 3463\cdot 7850009647\cdot 46806193038519194243 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.35191534514485788493337113914833696456704.1 x19 - 7x - 8 \( -\,2^{18}\cdot 1361\cdot 391137217\cdot 252180218096897279266793 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.35640040096057013189047634573984180469760.1 x19 + x - 8 \( -\,2^{18}\cdot 5\cdot 11\cdot 165384991\cdot 356502401\cdot 41925381140419433 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.53151162932776816411576469180673181944715.1 x19 + 9x - 1 \( -\,5\cdot 7\cdot 23\cdot 197\cdot 229\cdot 457\cdot 7103\cdot 1661447\cdot 271375524417386192423 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.88791203028833827582858040019047235715072.1 x19 + 9x - 8 \( -\,2^{18}\cdot 7\cdot 17\cdot 47\cdot 6641419\cdot 22648163\cdot 402616284516711953 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.296950165865291053343327607444044269678203.1 x19 - 4x - 9 \( -\,3^{37}\cdot 659473194534239850398681 \) $S_{19}$ (as 19T8) $[2]$ (GRH)
19.1.296950187496207648347351209169639576366715.1 x19 + 4x - 9 \( -\,3^{36}\cdot 5\cdot 395683945543581525410383 \) $S_{19}$ (as 19T8) $[2]$ (GRH)


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