Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.12.30.314 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.321 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.322 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.326 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.329 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.334 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.335 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.337 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.341 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.342 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.347 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.352 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.354 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.355 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.370 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.372 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.373 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.374 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.375 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.376 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 8 x^{2} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.380 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.383 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.388 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.391 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.394 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.403 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.404 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.408 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.411 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.416 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.418 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.433 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.434 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.435 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{6} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.436 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.438 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.441 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.444 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.449 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 2$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.453 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.455 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.456 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.459 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.460 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.473 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.477 |
$12$ |
$x^{12} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.482 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.492 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.503 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |
2.12.30.508 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2\wr S_4$ (as 12T223) |
$2$ |
$3$ |
$[3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 6$ |
$[19, 12, 0]$ |
$[1, 1, 2]$ |