| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.20.56 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.58 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.67 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.74 |
$12$ |
$x^{12} + 2 x^{9} + 4 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 4 x^{4} + 2 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.126 |
$12$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 2 x^{2} + 2$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.90 |
$12$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 2 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 2 x^{2} + 4 x + 6$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.91 |
$12$ |
$x^{12} + 2 x^{11} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 2$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.22.95 |
$12$ |
$x^{12} + 2 x^{11} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 6$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.321 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.377 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 4 x^{4} + 6 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.379 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.386 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 6 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 6 x^{2} + 4 x + 2$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.412 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.423 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.437 |
$12$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{3} + 6 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{3} + 6 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.442 |
$12$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.305 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.311 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.312 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.316 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{3} + 12 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.318 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.320 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 8 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 8 x^{4} + 4 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.328 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.339 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.343 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.346 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.378 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.386 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.387 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{3} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.389 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.405 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.445 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.457 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.468 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.469 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.472 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.476 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.489 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.490 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.493 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.497 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 4 x^{2} + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.501 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 4 x^{2} + 8 x + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.516 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.528 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.541 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.545 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.550 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.556 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
