| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.24.323 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{4} + 6 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{4} + 6 x^{2} + 4 x + 2$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.329 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 2 x^{2} + 4 x + 2$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.332 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 14$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 14$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.345 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 6 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 6 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.354 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.405 |
$12$ |
$x^{12} + 6 x^{4} + 2 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{4} + 2 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.410 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 6 x^{2} + 4 x + 10$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 6 x^{2} + 4 x + 10$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.24.452 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 6$ |
$[13, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.1 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{6} + 6 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{6} + 6 x^{4} + 2 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.100 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.113 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 10 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 10 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.119 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 10 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 10 x^{2} + 8 x + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.124 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.23 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.32 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 2 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{6} + 2 x^{4} + 2 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.33 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.36 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.43 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.54 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 6 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.69 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 6 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 8 x + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.70 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 6 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 6 x^{2} + 8 x + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.77 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{4} + 10 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{4} + 10 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.80 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 14 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 6 x^{4} + 14 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.25.92 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{4} + 2 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{4} + 2 x^{2} + 8 x + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.110 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.115 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.127 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.154 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 14$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.299 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.308 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.311 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 12 x^{4} + 4 x^{2} + 14$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.356 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.36 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.381 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.39 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{4} + 12 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.394 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 4 x^{4} + 12 x^{2} + 14$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.467 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.502 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.522 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 14$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.32.99 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$32$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 11/3]$ |
$[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$[21, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.378 |
$12$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.379 |
$12$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.390 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 12 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.405 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{7} + 12 x^{6} + 12 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.428 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{2} + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.435 |
$12$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{2} + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.444 |
$12$ |
$x^{12} + 4 x^{11} + 14 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 14 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.460 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 12 x^{8} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 12 x^{8} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.466 |
$12$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 10 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.33.512 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^4.S_4$ (as 12T140) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[2, 8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 12 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
