| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 3.12.19.1 |
$12$ |
$x^{12} + 3 x^{8} + 3$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_{12}$ (as 12T12) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.10 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.11 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 3 x^{6} + 3$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3^2:D_{12}$ (as 12T118) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 3 x^{6} + 3$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.12 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 6$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 6$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.13 |
$12$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 3 x^{6} + 12$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 3 x^{6} + 12$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.14 |
$12$ |
$x^{12} + 3 x^{10} + 3 x^{8} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{10} + 3 x^{8} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.15 |
$12$ |
$x^{12} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 15$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3^3:D_{12}$ (as 12T169) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 15$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.16 |
$12$ |
$x^{12} + 3 x^{9} + 6 x^{8} + 6 x^{6} + 12$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{9} + 6 x^{8} + 6 x^{6} + 12$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.17 |
$12$ |
$x^{12} + 6 x^{10} + 3 x^{8} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 3 x^{8} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.18 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{8} + 6$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{8} + 6$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.19 |
$12$ |
$x^{12} + 6 x^{8} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_4 \times C_3$ (as 12T14) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{8} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.2 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 12$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 12$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.20 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{8} + 6$ |
$3$ |
$12$ |
$1$ |
$19$ |
$S_3^2:C_6$ (as 12T121) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{8} + 6$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.21 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 12$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 12$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.22 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 3 x^{6} + 6 x^{3} + 15$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 3 x^{6} + 6 x^{3} + 15$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.23 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{8} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{8} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.24 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_4 \times C_3$ (as 12T14) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.25 |
$12$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.26 |
$12$ |
$x^{12} + 3 x^{10} + 3 x^{8} + 15$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{10} + 3 x^{8} + 15$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.27 |
$12$ |
$x^{12} + 3 x^{8} + 3 x^{6} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3:D_{12}$ (as 12T38) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{8} + 3 x^{6} + 21$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.28 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{6} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{6} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.29 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 3$ |
$3$ |
$12$ |
$1$ |
$19$ |
$S_3^2:C_6$ (as 12T121) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 3$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.3 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{8} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{8} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.30 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 6$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_4 \times C_3$ (as 12T14) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 6$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.31 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.32 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 3$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 3$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.33 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3^3:D_{12}$ (as 12T169) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 21$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.34 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 6 x^{8} + 3 x^{6} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 6 x^{8} + 3 x^{6} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.35 |
$12$ |
$x^{12} + 6 x^{10} + 3 x^{9} + 6 x^{8} + 6 x^{6} + 3$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 3 x^{9} + 6 x^{8} + 6 x^{6} + 3$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.36 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.37 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$S_3^2:C_6$ (as 12T121) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 3 x^{6} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.38 |
$12$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3:D_{12}$ (as 12T38) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 24$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.39 |
$12$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 6 x^{6} + 15$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3:D_{12}$ (as 12T38) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{10} + 6 x^{8} + 6 x^{6} + 15$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.4 |
$12$ |
$x^{12} + 6 x^{8} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_{12}$ (as 12T12) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{8} + 24$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.40 |
$12$ |
$x^{12} + 6 x^{8} + 12$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_4 \times C_3$ (as 12T14) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{8} + 12$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.41 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{8} + 6 x^{6} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.42 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 6$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{8} + 6$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.43 |
$12$ |
$x^{12} + 6 x^{8} + 3$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_4 \times C_3$ (as 12T14) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{8} + 3$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.44 |
$12$ |
$x^{12} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 6 x^{6} + 15$ |
$3$ |
$12$ |
$1$ |
$19$ |
$S_3^2:C_6$ (as 12T121) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 6 x^{6} + 15$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.45 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 21$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_6\wr C_2$ (as 12T42) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 6 x^{8} + 6 x^{6} + 21$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.46 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$S_3^2:C_6$ (as 12T121) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{9} + 3 x^{8} + 3 x^{6} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.47 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{6} + 15$ |
$3$ |
$12$ |
$1$ |
$19$ |
$D_4 \times C_3$ (as 12T14) |
$2$ |
$4$ |
$[2]$ |
$[2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{6} + 15$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.48 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 12$ |
$3$ |
$12$ |
$1$ |
$19$ |
$S_3^2:C_6$ (as 12T121) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 12$ |
$[8, 0]$ |
$[1, 2]$ |
| 3.12.19.5 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{8} + 3$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3^3:D_{12}$ (as 12T169) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{10} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.6 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{8} + 6 x^{6} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3^2:D_{12}$ (as 12T118) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{8} + 6 x^{6} + 24$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.7 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{6} + 6$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3^3:D_{12}$ (as 12T169) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{6} + 6$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.8 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 12$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3:D_{12}$ (as 12T38) |
$2$ |
$4$ |
$[2]$ |
$[3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 3 x^{8} + 12$ |
$[8, 0]$ |
$[2, 2]$ |
| 3.12.19.9 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{8} + 24$ |
$3$ |
$12$ |
$1$ |
$19$ |
$C_3\wr D_4$ (as 12T167) |
$2$ |
$4$ |
$[2]$ |
$[5/4, 5/4, 3/2, 2]_{4}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{8} + 24$ |
$[8, 0]$ |
$[1, 2]$ |
