| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.24.335 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{4} + 2 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{4} + 2 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.349 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{4} + 2 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{4} + 2 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.351 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 2 x^{4} + 2 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 2 x^{4} + 2 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.352 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 2$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.359 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.407 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 2 x^{4} + 6 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 2 x^{4} + 6 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.430 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 2 x^{4} + 6 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 2 x^{4} + 6 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.438 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.106 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 14 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 14 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.108 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 14 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 14 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.110 |
$12$ |
$x^{12} + 4 x^{5} + 2 x^{4} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{5} + 2 x^{4} + 2 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.122 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 14 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 14 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.125 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 14 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 14 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.13 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 14 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 14 x^{2} + 8 x + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.19 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{4} + 2 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{4} + 2 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.25 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.30 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 6 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 6 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.42 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.5 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.52 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.62 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 14 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 14 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.65 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 2 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 2 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.93 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.99 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.306 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.315 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 8 x + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.371 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.379 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 12 x^{2} + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.385 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 4 x^{2} + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.390 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.396 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.399 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.402 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 12 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.419 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.425 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.485 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.491 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.496 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.507 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 12 x^{2} + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.540 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.384 |
$12$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.389 |
$12$ |
$x^{12} + 2 x^{10} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.410 |
$12$ |
$x^{12} + 14 x^{10} + 8 x^{8} + 8 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 14 x^{10} + 8 x^{8} + 8 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.417 |
$12$ |
$x^{12} + 6 x^{10} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.422 |
$12$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 12 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 12 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.441 |
$12$ |
$x^{12} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.477 |
$12$ |
$x^{12} + 14 x^{10} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 14 x^{10} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.483 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.505 |
$12$ |
$x^{12} + 14 x^{10} + 12 x^{8} + 8 x^{6} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 14 x^{10} + 12 x^{8} + 8 x^{6} + 4 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.541 |
$12$ |
$x^{12} + 10 x^{10} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4:S_4$ (as 12T137) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{10} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
