| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.35.1000 |
$12$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{2} + 8 x + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{2} + 8 x + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1004 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 12 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1005 |
$12$ |
$x^{12} + 12 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 12 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1007 |
$12$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1011 |
$12$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1012 |
$12$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1020 |
$12$ |
$x^{12} + 8 x^{10} + 8 x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 5/3, 5/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 8 x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1023 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 22$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 22$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1027 |
$12$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1032 |
$12$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 12 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1036 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1039 |
$12$ |
$x^{12} + 12 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 12 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1044 |
$12$ |
$x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1049 |
$12$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1054 |
$12$ |
$x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1055 |
$12$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1059 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1064 |
$12$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1068 |
$12$ |
$x^{12} + 8 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1069 |
$12$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1072 |
$12$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 8 x^{9} + 4 x^{8} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 8 x^{9} + 4 x^{8} + 4 x^{2} + 8 x + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1076 |
$12$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 22$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 22$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1077 |
$12$ |
$x^{12} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1078 |
$12$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 4 x^{8} + 4 x^{2} + 8 x + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 4 x^{8} + 4 x^{2} + 8 x + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1079 |
$12$ |
$x^{12} + 4 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 8 x + 22$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 8 x + 22$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1081 |
$12$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1082 |
$12$ |
$x^{12} + 8 x^{11} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1084 |
$12$ |
$x^{12} + 8 x^{10} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 5/3, 5/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1086 |
$12$ |
$x^{12} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1087 |
$12$ |
$x^{12} + 12 x^{10} + 4 x^{8} + 4 x^{2} + 8 x + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 12 x^{10} + 4 x^{8} + 4 x^{2} + 8 x + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.1088 |
$12$ |
$x^{12} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.126 |
$12$ |
$x^{12} + 8 x^{10} + 8 x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 5/3, 5/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 8 x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.137 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 5/3, 5/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.143 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.184 |
$12$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.196 |
$12$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.222 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 5/3, 5/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.259 |
$12$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{2} + 8 x + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.280 |
$12$ |
$x^{12} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 5/3, 5/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.332 |
$12$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 12 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 22$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 12 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 22$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.347 |
$12$ |
$x^{12} + 8 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 12 x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.353 |
$12$ |
$x^{12} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.393 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{8} + 8 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.394 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.402 |
$12$ |
$x^{12} + 8 x^{10} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 5/3, 5/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{10} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.403 |
$12$ |
$x^{12} + 8 x^{11} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.407 |
$12$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 12 x^{10} + 4 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.413 |
$12$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.420 |
$12$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[4/3, 4/3, 8/3, 8/3, 3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.450 |
$12$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$C_4\wr S_3$ (as 12T150) |
$2$ |
$3$ |
$[3, 4]$ |
$[8/3, 8/3, 3, 11/3, 11/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 8 x^{9} + 12 x^{8} + 8 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
