| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.26.24 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 2$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.26 |
$12$ |
$x^{12} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.5 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.59 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.66 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.69 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 14$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.75 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 10$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 10$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.95 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.307 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.308 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.333 |
$12$ |
$x^{12} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.353 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.357 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.362 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.382 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.406 |
$12$ |
$x^{12} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.413 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.446 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.463 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.486 |
$12$ |
$x^{12} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.499 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.518 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.526 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 12 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.542 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.191 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.250 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{4} + 8 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.254 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.27 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{3} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{3} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.293 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{3} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.309 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.317 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.326 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{8} + 4 x^{6} + 8 x^{3} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.373 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.398 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.42 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.423 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{4} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.424 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.523 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{2} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.543 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{3} + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.80 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.10 |
$12$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.153 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.182 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.183 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.184 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.191 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.192 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.202 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.232 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.234 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4.S_4$ (as 12T138) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{4} + 12 x^{2} + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
