Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.12.25.10 |
$12$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 10 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 10 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.103 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 6 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 6 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.105 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 2 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 2 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.109 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 14 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 14 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.111 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{5} + 10 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{5} + 10 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.114 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.115 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 2 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.117 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 10 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 10 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.118 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{6} + 4 x^{4} + 10 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{6} + 4 x^{4} + 10 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.120 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{6} + 4 x^{3} + 14 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{6} + 4 x^{3} + 14 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.121 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.123 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 6 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 6 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.126 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 6 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{3} + 6 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.14 |
$12$ |
$x^{12} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.15 |
$12$ |
$x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.16 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{4} + 2 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.17 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.18 |
$12$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.20 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{3} + 14 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{3} + 14 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.21 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{4} + 2 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{4} + 2 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.22 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 8 x + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.24 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 14 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 14 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.26 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 14 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.27 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 2 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 2 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.28 |
$12$ |
$x^{12} + 4 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.29 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.31 |
$12$ |
$x^{12} + 2 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.34 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.35 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{5} + 6 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{5} + 6 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.37 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 10 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{5} + 10 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.40 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 6 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 6 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.41 |
$12$ |
$x^{12} + 10 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.44 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.45 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{3} + 6 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{3} + 6 x^{2} + 8 x + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.47 |
$12$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 10 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 10 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.49 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 14 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 14 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.50 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{4} + 10 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{4} + 10 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.51 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 4 x^{4} + 6 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.56 |
$12$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.57 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 10 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{8} + 4 x^{6} + 4 x^{5} + 10 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.58 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.63 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 6 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 6 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.64 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.67 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{6} + 4 x^{4} + 2 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{6} + 4 x^{4} + 2 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.68 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 10 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 10 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.71 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{5} + 6 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{5} + 6 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.72 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{6} + 4 x^{4} + 2 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.74 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{6} + 2 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.75 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{5} + 14 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{5} + 14 x^{2} + 14$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.8 |
$12$ |
$x^{12} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2\wr S_4$ (as 12T224) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |