| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.16.62.1 |
$16$ |
$x^{16} + 16 x^{14} + 60 x^{12} + 16 x^{11} - 56 x^{10} + 144 x^{9} - 184 x^{8} + 192 x^{7} + 384 x^{6} + 448 x^{5} + 1368 x^{4} + 1376 x^{3} + 1936 x^{2} + 992 x + 1468$ |
$2$ |
$8$ |
$2$ |
$62$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{6} + 4 t x^{4} + \left(16 t + 16\right) x^{3} + 24 t x^{2} + \left(16 t + 16\right) x + 44 t + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.16.62.2 |
$16$ |
$x^{16} + 8 x^{14} + 436 x^{12} + 32 x^{11} + 952 x^{10} + 144 x^{9} + 920 x^{8} + 448 x^{7} + 1232 x^{6} + 448 x^{5} + 584 x^{4} + 768 x^{3} + 240 x^{2} + 608 x + 508$ |
$2$ |
$8$ |
$2$ |
$62$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t^{2} + t + 1$ |
$x^{8} + \left(24 t + 16\right) x^{6} + \left(28 t + 8\right) x^{4} + 16 x^{3} + 8 t x^{2} + \left(16 t + 16\right) x + 12 t + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.16.64.1 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 30 x^{8} + 16 x^{7} + 4 x^{4} + 24 x^{2} + 16 x + 62$ |
$2$ |
$16$ |
$1$ |
$64$ |
$C_8\times C_2$ (as 16T5) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 30 x^{8} + 16 x^{7} + 4 x^{4} + 24 x^{2} + 16 x + 62$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
| 2.16.64.2 |
$16$ |
$x^{16} + 16 x^{13} + 20 x^{12} + 22 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$16$ |
$1$ |
$64$ |
$C_8\times C_2$ (as 16T5) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 20 x^{12} + 22 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
| 2.16.64.3 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 30 x^{8} + 16 x^{7} + 4 x^{4} + 24 x^{2} + 16 x + 30$ |
$2$ |
$16$ |
$1$ |
$64$ |
$C_8\times C_2$ (as 16T5) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 30 x^{8} + 16 x^{7} + 4 x^{4} + 24 x^{2} + 16 x + 30$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
| 2.16.64.4 |
$16$ |
$x^{16} + 16 x^{13} + 20 x^{12} + 22 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 34$ |
$2$ |
$16$ |
$1$ |
$64$ |
$C_8\times C_2$ (as 16T5) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 20 x^{12} + 22 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 34$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
| 3.16.8.1 |
$16$ |
$x^{16} + 24 x^{14} + 4 x^{13} + 254 x^{12} + 24 x^{11} + 1508 x^{10} - 172 x^{9} + 5273 x^{8} - 2344 x^{7} + 11640 x^{6} - 7392 x^{5} + 22724 x^{4} - 10768 x^{3} + 19008 x^{2} - 11056 x + 8596$ |
$3$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 2 t^{5} + t^{4} + 2 t^{2} + 2 t + 2$ |
$x^{2} + 3$ |
$[0]$ |
$[1]$ |
| 5.16.8.1 |
$16$ |
$x^{16} + 160 x^{15} + 11240 x^{14} + 453600 x^{13} + 11536702 x^{12} + 190484240 x^{11} + 2020220586 x^{10} + 13041178608 x^{9} + 45239382035 x^{8} + 65384309200 x^{7} + 52374358166 x^{6} + 35488260768 x^{5} + 46408266743 x^{4} + 66345171264 x^{3} + 136057926318 x^{2} + 159173865296 x + 74196697609$ |
$5$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + t^{4} + 3 t^{2} + 4 t + 2$ |
$x^{2} + 20 x + 5$ |
$[0]$ |
$[1]$ |
| 5.16.12.2 |
$16$ |
$x^{16} - 40 x^{12} + 500 x^{8} + 2500$ |
$5$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{4} + 5 t^{2}$ |
$[0]$ |
$[1]$ |
| 7.16.8.1 |
$16$ |
$x^{16} + 56 x^{14} + 1372 x^{12} + 8 x^{11} + 19220 x^{10} - 388 x^{9} + 166984 x^{8} - 9184 x^{7} + 931800 x^{6} - 35624 x^{5} + 3372764 x^{4} + 135176 x^{3} + 6908172 x^{2} + 607080 x + 5583776$ |
$7$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 4 t^{3} + 6 t^{2} + 2 t + 3$ |
$x^{2} + 7$ |
$[0]$ |
$[1]$ |
| 11.16.8.1 |
$16$ |
$x^{16} + 88 x^{14} + 3402 x^{12} + 14 x^{11} + 74230 x^{10} - 1064 x^{9} + 995839 x^{8} - 40250 x^{7} + 8494703 x^{6} - 233814 x^{5} + 46227770 x^{4} + 1580390 x^{3} + 151894730 x^{2} + 9934568 x + 239653341$ |
$11$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 7 t^{4} + 7 t^{3} + t^{2} + 7 t + 2$ |
$x^{2} + 11$ |
$[0]$ |
$[1]$ |
| 13.16.8.1 |
$16$ |
$x^{16} + 1040 x^{15} + 473304 x^{14} + 123126640 x^{13} + 20029614348 x^{12} + 2087241583464 x^{11} + 136191476698580 x^{10} + 5101180815827622 x^{9} + 85107446123881964 x^{8} + 66332212433952280 x^{7} + 24124190056903736 x^{6} + 46586640353309828 x^{5} + 725879057950764748 x^{4} + 1263430179126597100 x^{3} + 512456785975552825 x^{2} + 319150134470522744 x + 189148568944151548$ |
$13$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 8 t^{4} + 12 t^{3} + 2 t^{2} + 3 t + 2$ |
$x^{2} + 130 x + 13$ |
$[0]$ |
$[1]$ |
| 13.16.12.2 |
$16$ |
$x^{16} - 78 x^{12} + 2197 x^{8} + 290004 x^{4} + 114244$ |
$13$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 3 t^{2} + 12 t + 2$ |
$x^{4} + 13 t^{2}$ |
$[0]$ |
$[1]$ |
| 17.16.8.1 |
$16$ |
$x^{16} + 1224 x^{15} + 655588 x^{14} + 200713968 x^{13} + 38425553888 x^{12} + 4712159370804 x^{11} + 361786667925534 x^{10} + 15941129728945608 x^{9} + 312562457507588691 x^{8} + 271051276311665940 x^{7} + 108569289295470610 x^{6} + 201049936131633108 x^{5} + 3552809772836859536 x^{4} + 5121012457709476284 x^{3} + 1541607299425075328 x^{2} + 1999759822064079480 x + 1100226071367519804$ |
$17$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 11 t^{4} + 12 t^{3} + 6 t + 3$ |
$x^{2} + 153 x + 17$ |
$[0]$ |
$[1]$ |
| 17.16.12.2 |
$16$ |
$x^{16} - 238 x^{12} + 15895 x^{8} + 284954 x^{4} + 751689$ |
$17$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 7 t^{2} + 10 t + 3$ |
$x^{4} + 17 t^{2}$ |
$[0]$ |
$[1]$ |
| 17.16.14.1 |
$16$ |
$x^{16} + 128 x^{15} + 7192 x^{14} + 232064 x^{13} + 4716796 x^{12} + 62185088 x^{11} + 525781480 x^{10} + 2696730752 x^{9} + 7365142088 x^{8} + 8090194432 x^{7} + 4732152320 x^{6} + 1682759680 x^{5} + 456414056 x^{4} + 996830464 x^{3} + 7439529968 x^{2} + 33582546688 x + 66368009604$ |
$17$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 16 t + 3$ |
$x^{8} + 17$ |
$[0]$ |
$[1]$ |
| 17.16.14.2 |
$16$ |
$x^{16} + 204 x^{8} - 7225$ |
$17$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 16 t + 3$ |
$x^{8} + 17 t + 238$ |
$[0]$ |
$[1]$ |
| 17.16.14.3 |
$16$ |
$x^{16} - 3060 x^{8} - 197676$ |
$17$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 16 t + 3$ |
$x^{8} + 204 t + 102$ |
$[0]$ |
$[1]$ |
| 17.16.14.4 |
$16$ |
$x^{16} - 3876 x^{8} - 757180$ |
$17$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 16 t + 3$ |
$x^{8} + 272 t + 238$ |
$[0]$ |
$[1]$ |
| 19.16.8.1 |
$16$ |
$x^{16} + 152 x^{14} + 10110 x^{12} + 24 x^{11} + 384048 x^{10} - 3186 x^{9} + 9105261 x^{8} - 192864 x^{7} + 138174472 x^{6} - 2272686 x^{5} + 1314886284 x^{4} + 16825824 x^{3} + 7174364329 x^{2} + 291901572 x + 17029645911$ |
$19$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + t^{4} + 12 t^{3} + 10 t^{2} + 3 t + 2$ |
$x^{2} + 19$ |
$[0]$ |
$[1]$ |
| 23.16.8.1 |
$16$ |
$x^{16} - 46920 x^{15} + 1785602654 x^{14} + 65750183415457 x^{13} + 766190018829443467 x^{12} - 15991601422248003201941 x^{11} - 12274502283378655240324706 x^{10} - 3550952812011685595238568622 x^{9} - 413579173540933934364301676768 x^{8} - 81671914676268768690487078306 x^{7} - 6493211707907308622131769474 x^{6} - 194569814504491454958016147 x^{5} + 214411381059250289248747 x^{4} + 423190732774792753751 x^{3} + 264333276285649406 x^{2} - 159754409973240 x + 78310985281$ |
$23$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 3 t^{4} + 20 t^{3} + 5 t^{2} + 3 t + 5$ |
$x^{2} + \left(460 t^{7} + 276 t^{6} + 276 t^{5} + 345 t^{4} + 345 t^{3} + 460 t^{2} + 230 t + 345\right) x + 23$ |
$[0]$ |
$[1]$ |
| 29.16.8.1 |
$16$ |
$x^{16} + 5568 x^{15} + 13563880 x^{14} + 18881728320 x^{13} + 16428480372226 x^{12} + 9148801553592528 x^{11} + 3184735792552646192 x^{10} + 633724384469595120286 x^{9} + 55249468166464640094225 x^{8} + 18378034980956595686936 x^{7} + 2688132351641987586456 x^{6} + 2199337349954841447326 x^{5} + 180719728922044973705920 x^{4} + 1366890777105246403746256 x^{3} + 1613855339675279772970993 x^{2} + 1393970274901245210856928 x + 165405867866431160098509$ |
$29$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 3 t^{4} + 24 t^{3} + 26 t^{2} + 23 t + 2$ |
$x^{2} + 696 x + 29$ |
$[0]$ |
$[1]$ |
| 29.16.12.2 |
$16$ |
$x^{16} - 116 x^{12} + 6728 x^{8} + 5292413 x^{4} + 2829124$ |
$29$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 2 t^{2} + 15 t + 2$ |
$x^{4} + 29 t^{2}$ |
$[0]$ |
$[1]$ |
| 31.16.8.1 |
$16$ |
$x^{16} + 248 x^{14} + 26908 x^{12} + 50 x^{11} + 1668320 x^{10} - 10802 x^{9} + 64636804 x^{8} - 1086860 x^{7} + 1602904977 x^{6} - 20207308 x^{5} + 24860575933 x^{4} + 270957280 x^{3} + 220385858003 x^{2} + 6847565344 x + 852227099135$ |
$31$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 25 t^{3} + 12 t^{2} + 24 t + 3$ |
$x^{2} + 31$ |
$[0]$ |
$[1]$ |
| 37.16.8.1 |
$16$ |
$x^{16} + 7400 x^{15} + 23957796 x^{14} + 44323291600 x^{13} + 51251908447096 x^{12} + 37930676151570340 x^{11} + 17546730361494252836 x^{10} + 4639555565130210374892 x^{9} + 537260148823641968417477 x^{8} + 171663822382535770601480 x^{7} + 24145018290998496008538 x^{6} + 34730349303150488309026 x^{5} + 3848917025212413193568541 x^{4} + 11452234398217115468927346 x^{3} + 15803023653036361219377249 x^{2} + 1755162282749483328392330 x + 1116827887902237910883236$ |
$37$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 7 t^{4} + 20 t^{3} + 27 t^{2} + t + 2$ |
$x^{2} + 925 x + 37$ |
$[0]$ |
$[1]$ |
| 37.16.12.2 |
$16$ |
$x^{16} - 444 x^{12} + 54760 x^{8} + 27960456 x^{4} + 7496644$ |
$37$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 6 t^{2} + 24 t + 2$ |
$x^{4} + 37 t^{2}$ |
$[0]$ |
$[1]$ |
| 41.16.8.1 |
$16$ |
$x^{16} + 7544 x^{15} + 24899300 x^{14} + 46961626320 x^{13} + 55359590074260 x^{12} + 41768280861436556 x^{11} + 19698283912678220494 x^{10} + 5309971565065857069252 x^{9} + 626922435535143721723979 x^{8} + 217709044724122300555796 x^{7} + 33212607667175426535362 x^{6} + 30042333694064576366496 x^{5} + 3300328980182315699480362 x^{4} + 20674686516577119696727464 x^{3} + 15188260329742572334579922 x^{2} + 4985490935976215390215752 x + 3938821440370942526258031$ |
$41$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 5 t^{4} + 32 t^{3} + 20 t^{2} + 6 t + 6$ |
$x^{2} + 943 x + 41$ |
$[0]$ |
$[1]$ |
| 41.16.12.2 |
$16$ |
$x^{16} + 20172 x^{8} + 36459209 x^{4} + 101727396$ |
$41$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 23 t + 6$ |
$x^{4} + 41 t^{2}$ |
$[0]$ |
$[1]$ |
| 41.16.14.1 |
$16$ |
$x^{16} + 304 x^{15} + 40480 x^{14} + 3085600 x^{13} + 147416080 x^{12} + 4529584192 x^{11} + 87831092608 x^{10} + 996302227840 x^{9} + 5391168776882 x^{8} + 5977813379504 x^{7} + 3161920977824 x^{6} + 978514601120 x^{5} + 196936323920 x^{4} + 202153692608 x^{3} + 3372805705856 x^{2} + 36445904670848 x + 172395305267889$ |
$41$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{8} + 41$ |
$[0]$ |
$[1]$ |
| 41.16.14.2 |
$16$ |
$x^{16} + 410 x^{8} - 554730$ |
$41$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{8} + 41 t + 984$ |
$[0]$ |
$[1]$ |
| 41.16.14.3 |
$16$ |
$x^{16} - 47970 x^{8} - 35796895$ |
$41$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{8} + 1312 t + 943$ |
$[0]$ |
$[1]$ |
| 41.16.14.4 |
$16$ |
$x^{16} - 1804 x^{8} - 4557191$ |
$41$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 38 t + 6$ |
$x^{8} + 123 t + 1435$ |
$[0]$ |
$[1]$ |
| 43.16.8.1 |
$16$ |
$x^{16} + 344 x^{14} + 51774 x^{12} + 78 x^{11} + 4452260 x^{10} - 23430 x^{9} + 239230851 x^{8} - 3214086 x^{7} + 8226979485 x^{6} - 85567446 x^{5} + 176927437939 x^{4} + 1440753690 x^{3} + 2175733989031 x^{2} + 56193406602 x + 11695101656436$ |
$43$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + t^{4} + 39 t^{3} + 20 t^{2} + 24 t + 3$ |
$x^{2} + 43$ |
$[0]$ |
$[1]$ |
| 47.16.8.1 |
$16$ |
$x^{16} + 376 x^{14} + 61854 x^{12} + 58 x^{11} + 5813938 x^{10} - 19076 x^{9} + 341479357 x^{8} - 2824266 x^{7} + 12836319023 x^{6} - 84109434 x^{5} + 301709034360 x^{4} + 1433037548 x^{3} + 4054455011620 x^{2} + 66313486216 x + 23824267455204$ |
$47$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + t^{4} + 29 t^{3} + 19 t^{2} + 3 t + 5$ |
$x^{2} + 47$ |
$[0]$ |
$[1]$ |
| 53.16.8.1 |
$16$ |
$x^{16} + 19504 x^{15} + 166428056 x^{14} + 811508369616 x^{13} + 2473102628809164 x^{12} + 4823651193082929450 x^{11} + 5880292953248076895654 x^{10} + 4096445804103432935353768 x^{9} + 1248781428226643303795985682 x^{8} + 217111666276383407722950060 x^{7} + 16564921816382966263045333 x^{6} + 33656206772183180965903342 x^{5} + 10106305667313490566521577385 x^{4} + 37143800877487941250317580606 x^{3} + 24861537627642219589796979890 x^{2} + 2284869467575594267910764352 x + 2534261492097364839025065881$ |
$53$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 8 t^{4} + 29 t^{3} + 18 t^{2} + t + 2$ |
$x^{2} + 2438 x + 53$ |
$[0]$ |
$[1]$ |
| 53.16.12.2 |
$16$ |
$x^{16} - 954 x^{12} + 238765 x^{8} + 209618816 x^{4} + 31561924$ |
$53$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 9 t^{2} + 38 t + 2$ |
$x^{4} + 53 t^{2}$ |
$[0]$ |
$[1]$ |
| 59.16.8.1 |
$16$ |
$x^{16} + 472 x^{14} + 97500 x^{12} + 64 x^{11} + 11497452 x^{10} - 26332 x^{9} + 846318798 x^{8} - 5018224 x^{7} + 39851601120 x^{6} - 178963208 x^{5} + 1174481108576 x^{4} + 4463136984 x^{3} + 19864284583008 x^{2} + 220487657188 x + 148180691905877$ |
$59$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 16 t^{4} + 32 t^{3} + 2 t^{2} + 50 t + 2$ |
$x^{2} + 59$ |
$[0]$ |
$[1]$ |
| 61.16.8.1 |
$16$ |
$x^{16} + 19032 x^{15} + 158470436 x^{14} + 754008139248 x^{13} + 2242265537526826 x^{12} + 4267599356711940090 x^{11} + 5076582991204432365859 x^{10} + 3451035061617015116458255 x^{9} + 1026638640901479979303364652 x^{8} + 210513138886441857981119338 x^{7} + 18890208549333867332962971 x^{6} + 1258002407521005232106369 x^{5} + 196708263350848086372174016 x^{4} + 58496921156028589310230952666 x^{3} + 5718073427205971663972753212 x^{2} + 57631943224120169237789203349 x + 3526669431199131239909021747$ |
$61$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 57 t^{3} + t^{2} + 56 t + 2$ |
$x^{2} + 2379 x + 61$ |
$[0]$ |
$[1]$ |
| 61.16.12.2 |
$16$ |
$x^{16} - 366 x^{12} + 48373 x^{8} + 360445828 x^{4} + 55383364$ |
$61$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 3 t^{2} + 40 t + 2$ |
$x^{4} + 61 t^{2}$ |
$[0]$ |
$[1]$ |
| 67.16.8.1 |
$16$ |
$x^{16} + 536 x^{14} + 125698 x^{12} + 92 x^{11} + 16841958 x^{10} - 43020 x^{9} + 1410090991 x^{8} - 9256980 x^{7} + 75554338170 x^{6} - 379281032 x^{5} + 2530924387243 x^{4} + 10351327624 x^{3} + 48478403355154 x^{2} + 603087113924 x + 406565366487109$ |
$67$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 3 t^{4} + 46 t^{3} + 17 t^{2} + 64 t + 2$ |
$x^{2} + 67$ |
$[0]$ |
$[1]$ |
| 71.16.8.1 |
$16$ |
$x^{16} + 568 x^{14} + 141148 x^{12} + 106 x^{11} + 20043060 x^{10} - 52644 x^{9} + 1778777072 x^{8} - 11809572 x^{7} + 101033713377 x^{6} - 528455780 x^{5} + 3587033963959 x^{4} + 13849340956 x^{3} + 72775398997452 x^{2} + 949493706072 x + 645675498580932$ |
$71$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 53 t^{3} + 22 t^{2} + 19 t + 7$ |
$x^{2} + 71$ |
$[0]$ |
$[1]$ |
| 73.16.8.1 |
$16$ |
$x^{16} + 31536 x^{15} + 435102776 x^{14} + 3430361796624 x^{13} + 16903218921624034 x^{12} + 53306642273902675954 x^{11} + 105069859791826038808460 x^{10} + 118344797118938182959194054 x^{9} + 58323986405108966422143820619 x^{8} + 8639170350493946521971296234 x^{7} + 560235306392575211766102797 x^{6} + 381318753160256112572861506 x^{5} + 181221998442374154777836195516 x^{4} + 3108165210883918317708842723590 x^{3} + 2448300461191654609358961141589 x^{2} + 1137553468447688638751080675574 x + 311767323698544086584680379993$ |
$73$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 3 t^{4} + 53 t^{3} + 39 t^{2} + 18 t + 5$ |
$x^{2} + 3942 x + 73$ |
$[0]$ |
$[1]$ |
| 73.16.12.2 |
$16$ |
$x^{16} - 2336 x^{12} + 1417514 x^{8} + 1157714592 x^{4} + 709956025$ |
$73$ |
$4$ |
$4$ |
$12$ |
$C_8\times C_2$ (as 16T5) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{4} + 16 t^{2} + 56 t + 5$ |
$x^{4} + 73 t^{2}$ |
$[0]$ |
$[1]$ |
| 73.16.14.1 |
$16$ |
$x^{16} + 560 x^{15} + 137240 x^{14} + 19227600 x^{13} + 1684816700 x^{12} + 94599694000 x^{11} + 3327837457000 x^{10} + 67300032450000 x^{9} + 609674268043896 x^{8} + 336500162290880 x^{7} + 83195946420160 x^{6} + 11826359641600 x^{5} + 1175201013000 x^{4} + 6895769020000 x^{3} + 239006660174000 x^{2} + 4775207729180000 x + 41740387870087204$ |
$73$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 70 t + 5$ |
$x^{8} + 73$ |
$[0]$ |
$[1]$ |
| 73.16.14.2 |
$16$ |
$x^{16} + 5402 x^{8} + 794021$ |
$73$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 70 t + 5$ |
$x^{8} + 73 t + 5256$ |
$[0]$ |
$[1]$ |
| 73.16.14.3 |
$16$ |
$x^{16} - 349962 x^{8} - 1238411639$ |
$73$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 70 t + 5$ |
$x^{8} + 5110 t + 3869$ |
$[0]$ |
$[1]$ |
| 73.16.14.4 |
$16$ |
$x^{16} - 5402 x^{8} - 51217019$ |
$73$ |
$8$ |
$2$ |
$14$ |
$C_8\times C_2$ (as 16T5) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t^{2} + 70 t + 5$ |
$x^{8} + 219 t + 4964$ |
$[0]$ |
$[1]$ |
| 79.16.8.1 |
$16$ |
$x^{16} + 632 x^{14} + 174748 x^{12} + 120 x^{11} + 27610302 x^{10} - 66264 x^{9} + 2726384490 x^{8} - 16627920 x^{7} + 172304838540 x^{6} - 819910536 x^{5} + 6807266738677 x^{4} + 24696462096 x^{3} + 153691006438430 x^{2} + 1820103933672 x + 1516747711823185$ |
$79$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 60 t^{3} + 59 t^{2} + 48 t + 3$ |
$x^{2} + 79$ |
$[0]$ |
$[1]$ |
| 83.16.8.1 |
$16$ |
$x^{16} + 664 x^{14} + 192894 x^{12} + 130 x^{11} + 32019786 x^{10} - 75446 x^{9} + 3321798615 x^{8} - 19841850 x^{7} + 220549814727 x^{6} - 1032515432 x^{5} + 9153088134336 x^{4} + 32195922972 x^{3} + 217101057166265 x^{2} + 2532564215378 x + 2252767510002356$ |
$83$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + t^{4} + 65 t^{3} + 23 t^{2} + 42 t + 2$ |
$x^{2} + 83$ |
$[0]$ |
$[1]$ |
| 89.16.8.1 |
$16$ |
$x^{16} + 48416 x^{15} + 1025548424 x^{14} + 12413259669216 x^{13} + 93906628855953116 x^{12} + 454661206697270063138 x^{11} + 1375821526845875574644116 x^{10} + 2379055553466262149591849936 x^{9} + 1799908586342089685298253583420 x^{8} + 211735944264601694595722712188 x^{7} + 10897911870433000867438293817 x^{6} + 409966476005944143708994500 x^{5} + 154692994524098123148673251049 x^{4} + 117077954011856313643337996423600 x^{3} + 77336698176525542504716190676484 x^{2} + 144373697768586003607585316463632 x + 7505576142402243986054100110788$ |
$89$ |
$2$ |
$8$ |
$8$ |
$C_8\times C_2$ (as 16T5) |
$8$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{8}$ |
$t^{8} + 65 t^{3} + 40 t^{2} + 79 t + 3$ |
$x^{2} + 6052 x + 89$ |
$[0]$ |
$[1]$ |
