Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.12.29.1 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.10 |
$12$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$D_4\times S_4$ (as 12T86) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.100 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_4^3:D_6$ (as 12T185) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.101 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.102 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{4} + 8 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.103 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_4^3:D_6$ (as 12T185) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.104 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.105 |
$12$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$D_4\times S_4$ (as 12T86) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.106 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.107 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 12 x^{4} + 12 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 12 x^{4} + 12 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.108 |
$12$ |
$x^{12} + 2 x^{10} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.11 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{3} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.112 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.113 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 14 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 14 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.114 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.115 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.116 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.118 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 12 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.12 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.120 |
$12$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$D_4\times S_4$ (as 12T86) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.121 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.122 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_4^3:D_6$ (as 12T185) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.124 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$D_4\times S_4$ (as 12T86) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.125 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.126 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.128 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 10 x^{6} + 12 x^{4} + 12 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_4^3:D_6$ (as 12T185) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 10 x^{6} + 12 x^{4} + 12 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.129 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_4^3:D_6$ (as 12T185) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.13 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$D_4\times S_4$ (as 12T86) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.130 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_4^3:D_6$ (as 12T185) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 4 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.131 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.132 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 12 x^{2} + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.135 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.136 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.137 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{3} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$D_4\times S_4$ (as 12T86) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{3} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.138 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.139 |
$12$ |
$x^{12} + 2 x^{10} + 10 x^{6} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_4^3:D_6$ (as 12T185) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 10 x^{6} + 12 x^{2} + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.14 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr (C_2\times S_4)$ (as 12T250) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 14$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
2.12.29.142 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$29$ |
$C_2\wr D_6$ (as 12T186) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 6$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |
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) |
$2$ |
$3$ |
$[2, 7/2]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[18, 6, 0]$ |
$[1, 1, 2]$ |