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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.22.114 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 6$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 6$
2.12.22.122 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$
2.12.22.125 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 6$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 6$
2.12.22.135 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x + 2$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x + 2$
2.12.24.370 $x^{12} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x + 6$
2.12.24.395 $x^{12} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 2$
2.12.24.418 $x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{2} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{2} + 4 x + 2$
2.12.24.420 $x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 4 x + 6$
2.12.26.21 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$
2.12.26.30 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 14$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 14$
2.12.26.32 $x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 10$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 10$
2.12.26.33 $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 14$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 14$
2.12.26.57 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$
2.12.26.62 $x^{12} + 4 x^{11} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 14$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 14$
2.12.26.76 $x^{12} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$
2.12.26.88 $x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 2$
2.12.32.100 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{5} + 4 x^{4} + 8 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{5} + 4 x^{4} + 8 x^{2} + 2$
2.12.32.117 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{4} + 8 x^{3} + 2$
2.12.32.120 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 12 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 12 x^{4} + 8 x^{3} + 2$
2.12.32.152 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 2$
2.12.32.159 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 2$
2.12.32.177 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 12 x^{4} + 8 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 12 x^{4} + 8 x^{2} + 2$
2.12.32.179 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{2} + 8 x + 2$
2.12.32.213 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 8 x + 2$
2.12.32.223 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 10$
2.12.32.259 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{5} + 8 x^{4} + 8 x + 2$
2.12.32.270 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 10$
2.12.32.273 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x + 2$
2.12.32.287 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{4} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{4} + 8 x^{2} + 8 x + 10$
2.12.32.304 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x + 2$
2.12.32.318 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{5} + 12 x^{4} + 10$
2.12.32.351 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2$
2.12.32.353 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{4} + 8 x^{3} + 2$
2.12.32.355 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{4} + 8 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{4} + 8 x^{2} + 2$
2.12.32.357 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x + 10$
2.12.32.367 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x + 2$
2.12.32.413 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{4} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{4} + 8 x + 10$
2.12.32.418 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x + 2$
2.12.32.433 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$
2.12.32.44 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{2} + 2$
2.12.32.444 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x + 2$
2.12.32.459 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$
2.12.32.470 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{4} + 8 x^{2} + 10$
2.12.32.499 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 8 x + 2$
2.12.32.509 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 8 x + 2$
2.12.32.69 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 10$
2.12.32.85 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{2} + 2$
2.12.32.96 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T147) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x + 2$
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