| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.28.100 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.106 |
$12$ |
$x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 12 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.107 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.114 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.119 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.120 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.13 |
$12$ |
$x^{12} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.14 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.161 |
$12$ |
$x^{12} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.189 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.19 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.211 |
$12$ |
$x^{12} + 4 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.215 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.227 |
$12$ |
$x^{12} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.237 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.242 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.27 |
$12$ |
$x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.29 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.44 |
$12$ |
$x^{12} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.48 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.49 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.50 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.52 |
$12$ |
$x^{12} + 4 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.6 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.62 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 4 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.70 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.73 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.80 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.9 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.92 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.93 |
$12$ |
$x^{12} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.28.97 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.319 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.325 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.331 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{2} + 8 x + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.332 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.350 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.359 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.360 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.361 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 8 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.364 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.367 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.384 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.392 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.401 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.423 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.424 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.431 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.439 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
| 2.12.30.442 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T221) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
