| 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 |
| 2.1.16.42b1.1 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.2 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.3 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.4 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.5 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.6 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.7 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.8 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.9 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^5:A_4$ (as 16T722) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.10 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^5:A_4$ (as 16T722) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.11 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.12 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4:(C_2\times A_4)$ (as 16T716) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.13 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^2\times C_4):A_4$ (as 16T426) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.14 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^2\times C_4):A_4$ (as 16T426) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.15 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr A_4$ (as 16T427) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.16 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr A_4$ (as 16T427) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.17 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4:(C_2\times A_4)$ (as 16T716) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.18 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4:(C_2\times A_4)$ (as 16T721) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.19 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.20 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.21 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.22 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.23 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.24 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.25 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.26 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.27 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.28 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr C_2^3:C_3$ (as 16T1658) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 2, \frac{5}{2}, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,1,\frac{3}{2},2,2,\frac{5}{2}]^{6}$ |
$[2,2,2,\frac{5}{2},3,3]^{6}$ |
$[1,1,1,\frac{3}{2},2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.29 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.30 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^3\times C_4):A_4$ (as 16T717) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.31 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4:(C_2\times A_4)$ (as 16T721) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.32 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4:(C_2\times A_4)$ (as 16T716) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.33 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr A_4$ (as 16T427) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.34 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2\wr A_4$ (as 16T427) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.35 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^2\times C_4):A_4$ (as 16T426) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.36 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^2\times C_4):A_4$ (as 16T426) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,\frac{5}{2}]^{3}$ |
$[3,3]^{3}$ |
$[2,2]^{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.37 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4:(C_2\times A_4)$ (as 16T716) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.38 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(C_2^2\times D_4):A_4$ (as 16T720) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.39 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^5:A_4$ (as 16T722) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.40 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^5:A_4$ (as 16T722) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,2,2,\frac{5}{2}]^{6}$ |
$[3,3]^{6}$ |
$[2,2]^{6}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.41 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$D_4.A_4$ (as 16T180) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,\frac{5}{2}]^{3}$ |
$[3]^{3}$ |
$[2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.42 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{7} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$D_4.A_4$ (as 16T180) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,\frac{5}{2}]^{3}$ |
$[3]^{3}$ |
$[2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{7} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.43 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$D_4.A_4$ (as 16T180) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,\frac{5}{2}]^{3}$ |
$[3]^{3}$ |
$[2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{8} + 8 x^{7} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.44 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(D_4\times C_2^3):A_4$ (as 16T1037) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,2,\frac{5}{2}]^{6}$ |
$[2,2,3]^{6}$ |
$[1,1,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.45 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{8} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(D_4\times C_2^3):A_4$ (as 16T1037) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,2,\frac{5}{2}]^{6}$ |
$[2,2,3]^{6}$ |
$[1,1,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{8} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.46 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(D_4\times C_2^3):A_4$ (as 16T1037) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,2,\frac{5}{2}]^{6}$ |
$[2,2,3]^{6}$ |
$[1,1,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{7} + 8 x^{5} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.47 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(D_4\times C_2^3):A_4$ (as 16T1037) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,2,\frac{5}{2}]^{6}$ |
$[2,2,3]^{6}$ |
$[1,1,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{3} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.48 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{8} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(D_4\times C_2^3):A_4$ (as 16T1037) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,2,\frac{5}{2}]^{6}$ |
$[2,2,3]^{6}$ |
$[1,1,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{8} + 8 x^{3} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.49 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{7} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$(D_4\times C_2^3):A_4$ (as 16T1037) |
$6$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 2, 2, 3, \frac{7}{2}]^{6}$ |
$[1,1,1,1,1,2,\frac{5}{2}]^{6}$ |
$[2,2,3]^{6}$ |
$[1,1,2]^{6}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{7} + 8 x^{3} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
| 2.1.16.42b1.50 |
$16$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{5} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$D_4\times A_4$ (as 16T179) |
$3$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,\frac{5}{2}]^{3}$ |
$[3]^{3}$ |
$[2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 4 x^{13} + 4 x^{11} + 8 x^{5} + 8 x^{3} + 2$ |
$[27, 14, 14, 14, 0]$ |
$[3, 1]$ |
$z^{14} + 1,z + 1$ |
$[1, 3, 7, 23, 39]$ |
