| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 2.1.16.50h2.13 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.14 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.15 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.16 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.19 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.20 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.93 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.94 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.95 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.96 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.99 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.100 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.191 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.192 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.197 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.198 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.199 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.200 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.271 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.272 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.277 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.278 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.279 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
| 2.1.16.50h2.280 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 2, 2, 3, 4]^{6}$ |
$[1,1,1,1,2,3]^{6}$ |
$[2,2]^{6}$ |
$[1,1]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 8, 0]$ |
$[3, 1, 1]$ |
$z^{12} + z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 7, 15, 31]$ |
