| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.22.130 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$ |
$[11, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.96 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x + 6$ |
$[11, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.397 |
$12$ |
$x^{12} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 8/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x + 2$ |
$[13, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.443 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 8/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x + 6$ |
$[13, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.207 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.217 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.244 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.81 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.85 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.87 |
$12$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.88 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.89 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.356 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.381 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.393 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.410 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.430 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.432 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.462 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.555 |
$12$ |
$x^{12} + 4 x^{7} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.113 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{7} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{7} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.21 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 4 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 4 x^{4} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.238 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.25 |
$12$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.261 |
$12$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 12 x^{8} + 4 x^{4} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 12 x^{8} + 4 x^{4} + 8 x^{3} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.300 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.35 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.355 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.381 |
$12$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.423 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.457 |
$12$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 4 x^{8} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 4 x^{8} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.500 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.65 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.70 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.72 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{4} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.79 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^3:S_4$ (as 12T108) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
