| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.16.22 |
$12$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.16.25 |
$12$ |
$x^{12} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.66 |
$12$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.78 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.124 |
$12$ |
$x^{12} + 2 x^{11} + 4 x^{5} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 4 x^{5} + 2 x^{2} + 6$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.141 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 6 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 8/3, 8/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 6 x^{2} + 2$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.142 |
$12$ |
$x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 8/3, 8/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.86 |
$12$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{5} + 2 x^{2} + 6$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.322 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.380 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{4} + 6 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{4} + 6 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.383 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{4} + 2 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{4} + 2 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.396 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 6 x^{6} + 4 x^{4} + 6 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 6 x^{6} + 4 x^{4} + 6 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.414 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{4} + 6 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{4} + 6 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.416 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 2 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 2 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.429 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 6 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 5/3, 5/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 6 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.440 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 2 x^{2} + 4 x + 2$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.124 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.128 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.218 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{2} + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.236 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{3} + 12 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.249 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.260 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.291 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{2} + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.300 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.305 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{3} + 12 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.340 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.354 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{3} + 12 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.365 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.368 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.386 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.412 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.428 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.438 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.455 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.461 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.478 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 11/3, 11/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{3} + 12 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.484 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.5 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.504 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.508 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.51 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.513 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.514 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.532 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{5} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{5} + 4 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.533 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.540 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.542 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.94 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
