Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.12.29.109 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.110 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.111 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.117 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.119 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.123 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.127 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.133 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.134 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 12 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.140 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.141 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.143 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.144 |
$12$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.145 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 8 x^{5} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 8 x^{5} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.146 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.148 |
$12$ |
$x^{12} + 10 x^{6} + 8 x^{3} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{6} + 8 x^{3} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.149 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.15 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.150 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.151 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.157 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.159 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.161 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.162 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.163 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.166 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.169 |
$12$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.170 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.174 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 8 x^{3} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 8 x^{3} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.179 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.183 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.185 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.186 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.19 |
$12$ |
$x^{12} + 10 x^{6} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{6} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.191 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.194 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.196 |
$12$ |
$x^{12} + 10 x^{6} + 8 x^{5} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{6} + 8 x^{5} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.198 |
$12$ |
$x^{12} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.2 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.200 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.204 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.206 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.209 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 12 x^{2} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.21 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.211 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.212 |
$12$ |
$x^{12} + 4 x^{9} + 14 x^{6} + 8 x^{3} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 14 x^{6} + 8 x^{3} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.213 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.214 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 4 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.215 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.219 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T193) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |