| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.26.1 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.10 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.108 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.12 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.17 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.40 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 2$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.55 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.26.80 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 14$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 14$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.105 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.111 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.132 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.157 |
$12$ |
$x^{12} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.159 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.170 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.2 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.20 |
$12$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.206 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.212 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.246 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.28 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 2 x^{6} + 4 x^{5} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 2 x^{6} + 4 x^{5} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.30 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.55 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.7 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.76 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.317 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.348 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.349 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.363 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.366 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.368 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.417 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.428 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.458 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.466 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.471 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.478 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.500 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.521 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.538 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.546 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.100 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.106 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.109 |
$12$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 8 x^{9} + 12 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 8 x^{9} + 12 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.120 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.146 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{9} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.150 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.162 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.164 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 12 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.168 |
$12$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 8 x^{9} + 12 x^{8} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 12 x^{10} + 8 x^{9} + 12 x^{8} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.34.181 |
$12$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$34$ |
$C_2^4:S_4$ (as 12T136) |
$2$ |
$3$ |
$[3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 8 x^{10} + 8 x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$[23, 12, 0]$ |
$[1, 1, 2]$ |
