| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.12.34 |
$12$ |
$x^{12} + 2 x + 2$ |
$2$ |
$12$ |
$1$ |
$12$ |
$C_2^6:C_9:C_6$ (as 12T254) |
$6$ |
$9$ |
$[10/9, 10/9]$ |
$[10/9, 10/9, 10/9, 10/9, 10/9, 10/9]_{9}^{6}$ |
$t + 1$ |
$x^{12} + 2 x + 2$ |
$[1, 1, 0]$ |
$[1, 2]$ |
| 2.12.14.1 |
$12$ |
$x^{12} + 2 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$14$ |
$S_4$ (as 12T8) |
$2$ |
$3$ |
$[4/3, 4/3]$ |
$[4/3, 4/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{3} + 2$ |
$[3, 3, 0]$ |
$[2, 2]$ |
| 2.12.14.2 |
$12$ |
$x^{12} + 2 x^{4} + 2 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$14$ |
$A_4:C_4$ (as 12T27) |
$4$ |
$3$ |
$[4/3, 4/3]$ |
$[4/3, 4/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 2 x^{4} + 2 x^{3} + 2$ |
$[3, 3, 0]$ |
$[2, 2]$ |
| 2.12.14.3 |
$12$ |
$x^{12} + 2 x^{3} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$14$ |
$A_4\wr C_2$ (as 12T128) |
$6$ |
$3$ |
$[4/3, 4/3]$ |
$[4/3, 4/3, 4/3, 4/3]_{3}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[3, 2]$ |
| 2.12.16.21 |
$12$ |
$x^{12} + 2 x^{5} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_2^6:C_9:C_6$ (as 12T254) |
$6$ |
$9$ |
$[14/9, 14/9]$ |
$[14/9, 14/9, 14/9, 14/9, 14/9, 14/9]_{9}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{5} + 2$ |
$[5, 5, 0]$ |
$[1, 2]$ |
| 2.12.16.22 |
$12$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.16.23 |
$12$ |
$x^{12} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_4^2:S_3$ (as 12T65) |
$2$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.16.24 |
$12$ |
$x^{12} + 2 x^{6} + 2 x^{5} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_2^6:C_9:C_6$ (as 12T254) |
$6$ |
$9$ |
$[14/9, 14/9]$ |
$[14/9, 14/9, 14/9, 14/9, 14/9, 14/9]_{9}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 2 x^{5} + 2$ |
$[5, 5, 0]$ |
$[1, 2]$ |
| 2.12.16.25 |
$12$ |
$x^{12} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_2^3.S_4$ (as 12T98) |
$4$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{4}$ |
$t + 1$ |
$x^{12} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.16.26 |
$12$ |
$x^{12} + 2 x^{7} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_4^2:S_3$ (as 12T63) |
$2$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{7} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.16.27 |
$12$ |
$x^{12} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_4^2:S_3$ (as 12T64) |
$2$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.16.28 |
$12$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$16$ |
$C_4^2:S_3$ (as 12T62) |
$2$ |
$3$ |
$[4/3, 5/3]$ |
$[4/3, 4/3, 5/3, 5/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{4} + 2 x^{2} + 2$ |
$[5, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.66 |
$12$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.67 |
$12$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2 \times S_4$ (as 12T24) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.68 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^6:C_9:C_6$ (as 12T254) |
$6$ |
$9$ |
$[16/9, 16/9]$ |
$[16/9, 16/9, 16/9, 16/9, 16/9, 16/9]_{9}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 6, 0]$ |
$[1, 2]$ |
| 2.12.18.69 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_4^2:D_6$ (as 12T96) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.70 |
$12$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2 \times S_4$ (as 12T23) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.71 |
$12$ |
$x^{12} + 2 x^{7} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^6:C_9:C_6$ (as 12T254) |
$6$ |
$9$ |
$[16/9, 16/9]$ |
$[16/9, 16/9, 16/9, 16/9, 16/9, 16/9]_{9}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{7} + 2$ |
$[7, 7, 0]$ |
$[1, 2]$ |
| 2.12.18.72 |
$12$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^6:C_9:C_6$ (as 12T254) |
$6$ |
$9$ |
$[16/9, 16/9]$ |
$[16/9, 16/9, 16/9, 16/9, 16/9, 16/9]_{9}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 7, 0]$ |
$[1, 2]$ |
| 2.12.18.73 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_4^2:D_6$ (as 12T97) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.74 |
$12$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^6:C_9:C_6$ (as 12T254) |
$6$ |
$9$ |
$[16/9, 16/9]$ |
$[16/9, 16/9, 16/9, 16/9, 16/9, 16/9]_{9}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 6, 0]$ |
$[1, 2]$ |
| 2.12.18.75 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$A_4:C_4$ (as 12T27) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.76 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_4^2:D_6$ (as 12T95) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.77 |
$12$ |
$x^{12} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_4^2:D_6$ (as 12T95) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.78 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2^3.S_4$ (as 12T98) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 5/3, 5/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.79 |
$12$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2 \times S_4$ (as 12T24) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 6$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.80 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2 \times S_4$ (as 12T22) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 2$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.18.81 |
$12$ |
$x^{12} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$18$ |
$C_2 \times S_4$ (as 12T23) |
$2$ |
$3$ |
$[4/3, 2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2 x^{2} + 6$ |
$[7, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.53 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$S_3\times A_4$ (as 12T43) |
$6$ |
$3$ |
$[2, 2]$ |
$[2, 2]_{3}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 2$ |
$[9, 6, 0]$ |
$[3, 2]$ |
| 2.12.20.54 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:(S_3\times A_4)$ (as 12T206) |
$6$ |
$3$ |
$[2, 2]$ |
$[4/3, 4/3, 4/3, 4/3, 2, 2]_{3}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2$ |
$[9, 6, 0]$ |
$[3, 2]$ |
| 2.12.20.55 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$\GL(2,\mathbb{Z}/4)$ (as 12T49) |
$2$ |
$3$ |
$[2, 2]$ |
$[4/3, 4/3, 2, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2$ |
$[9, 9, 0]$ |
$[2, 2]$ |
| 2.12.20.56 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.57 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:(S_3\times A_4)$ (as 12T206) |
$6$ |
$3$ |
$[2, 2]$ |
$[4/3, 4/3, 4/3, 4/3, 2, 2]_{3}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{6} + 2$ |
$[9, 6, 0]$ |
$[3, 2]$ |
| 2.12.20.58 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.59 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{6} + 6 x^{4} + 6 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_4^2:D_6$ (as 12T114) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{6} + 6 x^{4} + 6 x^{2} + 6$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.60 |
$12$ |
$x^{12} + 2 x^{9} + 6 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_4^2:D_6$ (as 12T114) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 6 x^{4} + 2 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.61 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_4^2:D_6$ (as 12T115) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.62 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.63 |
$12$ |
$x^{12} + 2 x^{9} + 6 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^3:S_4$ (as 12T110) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 6 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.64 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^3:S_4$ (as 12T110) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.65 |
$12$ |
$x^{12} + 2 x^{9} + 6$ |
$2$ |
$12$ |
$1$ |
$20$ |
$(C_6\times C_2):C_2$ (as 12T13) |
$2$ |
$3$ |
$[2, 2]$ |
$[2, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 6$ |
$[9, 9, 0]$ |
$[2, 2]$ |
| 2.12.20.66 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$\GL(2,\mathbb{Z}/4)$ (as 12T52) |
$2$ |
$3$ |
$[2, 2]$ |
$[4/3, 4/3, 2, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2$ |
$[9, 9, 0]$ |
$[2, 2]$ |
| 2.12.20.67 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.68 |
$12$ |
$x^{12} + 2 x^{9} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$(C_6\times C_2):C_2$ (as 12T13) |
$2$ |
$3$ |
$[2, 2]$ |
$[2, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2$ |
$[9, 9, 0]$ |
$[2, 2]$ |
| 2.12.20.69 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:(S_3\times A_4)$ (as 12T206) |
$6$ |
$3$ |
$[2, 2]$ |
$[4/3, 4/3, 4/3, 4/3, 2, 2]_{3}^{6}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{6} + 2$ |
$[9, 6, 0]$ |
$[3, 2]$ |
| 2.12.20.70 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 6$ |
$2$ |
$12$ |
$1$ |
$20$ |
$\GL(2,\mathbb{Z}/4)$ (as 12T52) |
$2$ |
$3$ |
$[2, 2]$ |
$[4/3, 4/3, 2, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 6$ |
$[9, 9, 0]$ |
$[2, 2]$ |
| 2.12.20.71 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$\GL(2,\mathbb{Z}/4)$ (as 12T49) |
$2$ |
$3$ |
$[2, 2]$ |
$[4/3, 4/3, 2, 2]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2$ |
$[9, 9, 0]$ |
$[2, 2]$ |
| 2.12.20.72 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.73 |
$12$ |
$x^{12} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
| 2.12.20.74 |
$12$ |
$x^{12} + 2 x^{9} + 4 x^{4} + 2 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^4:S_4$ (as 12T146) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 4 x^{4} + 2 x^{2} + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
