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Results (28 matches)
Download displayed columns for results| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 13.1.311791207040509.1 | $x^{13} + x - 1$ | $7\cdot 17\cdot 47\cdot 277\cdot 1723\cdot 116803$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.153...896.1 | $x^{13} + 8 x - 8$ | $2^{12}\cdot 7\cdot 1237\cdot 43215603439$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.160...829.1 | $x^{13} + x - 3$ | $3^{12}\cdot 7\cdot 29\cdot 1491995681623$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.119...656.1 | $x^{13} + 8 x - 4$ | $2^{12}\cdot 7\cdot 271\cdot 72931\cdot 2113953223$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.508...904.1 | $x^{13} + x - 4$ | $2^{25}\cdot 7\cdot 17\cdot 486589\cdot 2615317$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.130...909.1 | $x^{13} + x - 9$ | $3^{4}\cdot 7\cdot 11\cdot 6359\cdot 328729808294023$ | $S_{13}$ (as 13T9) | trivial |
| 13.3.278...112.1 | $x^{13} - 6 x - 4$ | $-\,2^{22}\cdot 7\cdot 11\cdot 86209262103439$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.739...381.1 | $x^{13} + x - 5$ | $7\cdot 431\cdot 369208643\cdot 66382936951$ | $S_{13}$ (as 13T9) | trivial |
| 13.3.116...808.1 | $x^{13} - 6 x - 2$ | $-\,2^{12}\cdot 7\cdot 29\cdot 1601\cdot 10211\cdot 8566846531$ | $S_{13}$ (as 13T9) | trivial |
| 13.3.116...843.1 | $x^{13} - 6 x - 1$ | $-\,7\cdot 106123\cdot 474647\cdot 330265270729$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.164...816.1 | $x^{13} + x - 6$ | $2^{10}\cdot 3^{12}\cdot 7\cdot 917659\cdot 47150273$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.542...912.1 | $x^{13} - 6 x - 6$ | $2^{12}\cdot 3^{12}\cdot 7\cdot 397\cdot 9337\cdot 9610879$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.490...581.1 | $x^{13} + 8 x - 1$ | $7\cdot 33201191971\cdot 21090800695273$ | $S_{13}$ (as 13T9) | $[2]$ |
| 13.1.490...616.1 | $x^{13} + 8 x - 2$ | $2^{12}\cdot 7\cdot 23927801\cdot 7144701964403$ | $S_{13}$ (as 13T9) | $[2]$ |
| 13.1.490...901.1 | $x^{13} + 8 x - 3$ | $3^{13}\cdot 7\cdot 11699\cdot 37543603287059$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.497...453.1 | $x^{13} + 8 x - 5$ | $7\cdot 47\cdot 10957\cdot 1380256608649094201$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.556...336.1 | $x^{13} + 8 x - 6$ | $2^{12}\cdot 3^{13}\cdot 7\cdot 779249\cdot 156113369$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.949...733.1 | $x^{13} - 6 x - 9$ | $3^{22}\cdot 7\cdot 6317\cdot 6840109223$ | $S_{13}$ (as 13T9) | trivial |
| 13.1.208...464.1 | $x^{13} + x - 8$ | $2^{24}\cdot 7\cdot 373\cdot 4057\cdot 117114764227$ | $S_{13}$ (as 13T9) | trivial |
| 22.14.944...896.1 | $x^{22} - 6 x^{21} - 5 x^{20} + 90 x^{19} - 75 x^{18} - 502 x^{17} + 754 x^{16} + 1304 x^{15} - 2700 x^{14} - 1626 x^{13} + 4915 x^{12} + 730 x^{11} - 4994 x^{10} + 344 x^{9} + 2913 x^{8} - 496 x^{7} - 983 x^{6} + 192 x^{5} + 193 x^{4} - 32 x^{3} - 21 x^{2} + 2 x + 1$ | $2^{33}\cdot 7^{2}\cdot 97\cdot 601\cdot 21863\cdot 17802497\cdot 98924197902511$ | $S_{11}\wr C_2$ (as 22T57) | trivial |
| 30.0.203...531.1 | $x^{30} - x + 1$ | $-\,7\cdot 4547\cdot 625861750823\cdot 40306090892659\cdot 253230129277627$ | $S_{30}$ (as 30T5712) | trivial |
| 30.2.528...381.1 | $x^{30} - 3 x + 1$ | $3^{30}\cdot 7\cdot 83\cdot 547\cdot 80\!\cdots\!67$ | $S_{30}$ (as 30T5712) | trivial |
| 30.2.296...744.1 | $x^{30} - 4 x + 1$ | $2^{30}\cdot 7\cdot 149\cdot 8329\cdot 14869697\cdot 24084784266299\cdot 886175540693210057361991$ | $S_{30}$ (as 30T5712) | trivial |
| 30.2.239...125.1 | $x^{30} - 5 x + 1$ | $5^{30}\cdot 7\cdot 5801\cdot 3546119\cdot 17\!\cdots\!21$ | $S_{30}$ (as 30T5712) | not computed |
| 40.0.652...816.1 | $x^{40} - 2 x + 2$ | $2^{40}\cdot 7\cdot 709\cdot 3469\cdot 45247\cdot 9564613\cdot 79\!\cdots\!73$ | $S_{40}$ (as 40T315842) | not computed |
| 40.0.913...704.1 | $x^{40} - 2 x + 4$ | $2^{38}\cdot 7\cdot 23\cdot 643\cdot 1621\cdot 19\!\cdots\!27$ | $S_{40}$ (as 40T315842) | not computed |
| 40.2.102...375.1 | $x^{40} - 5 x - 3$ | $-\,3^{39}\cdot 5^{40}\cdot 7\cdot 238347710179\cdot 303974618220029\cdot 54782823889028869$ | $S_{40}$ (as 40T315842) | not computed |
| 40.2.230...375.1 | $x^{40} - 5 x - 5$ | $-\,5^{40}\cdot 7\cdot 11\cdot 23\cdot 139\cdot 263\cdot 49921\cdot 350641766719\cdot 1082515310287\cdot 28189512647977\cdot 73171096236097$ | $S_{40}$ (as 40T315842) | not computed |