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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.20.62 $x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{3} + 2 x^{2} + 4 x + 2$ $2$ $12$ $1$ $20$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{3} + 2 x^{2} + 4 x + 2$
2.12.20.72 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 2$ $2$ $12$ $1$ $20$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 2$
2.12.20.75 $x^{12} + 2 x^{9} + 6 x^{2} + 4 x + 2$ $2$ $12$ $1$ $20$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{9} + 6 x^{2} + 4 x + 2$
2.12.20.78 $x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ $2$ $12$ $1$ $20$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{9} + 4 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$
2.12.22.104 $x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 6 x^{2} + 4 x + 6$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 6 x^{8} + 6 x^{2} + 4 x + 6$
2.12.22.105 $x^{12} + 2 x^{11} + 4 x^{8} + 6 x^{6} + 4 x^{4} + 2 x^{2} + 6$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 4 x^{8} + 6 x^{6} + 4 x^{4} + 2 x^{2} + 6$
2.12.22.107 $x^{12} + 2 x^{11} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 2 x^{2} + 2$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 2 x^{2} + 2$
2.12.22.82 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{2} + 4 x + 6$ $2$ $12$ $1$ $22$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{2} + 4 x + 6$
2.12.24.325 $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 14$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 14$
2.12.24.364 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 6$
2.12.24.369 $x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 10$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 2 x^{2} + 4 x + 10$
2.12.24.373 $x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 2$
2.12.24.388 $x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 14$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6 x^{2} + 4 x + 14$
2.12.24.393 $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 14$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{2} + 4 x + 14$
2.12.24.424 $x^{12} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 6 x^{2} + 4 x + 10$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{6} + 4 x^{5} + 6 x^{2} + 4 x + 10$
2.12.24.449 $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 14$ $2$ $12$ $1$ $24$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[4/3, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 14$
2.12.32.132 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$
2.12.32.139 $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$
2.12.32.157 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{2} + 8 x + 10$
2.12.32.169 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{3} + 12 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{3} + 12 x^{2} + 10$
2.12.32.17 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$
2.12.32.189 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.12.32.193 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.12.32.221 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$
2.12.32.227 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 10$
2.12.32.238 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 12 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 2$
2.12.32.243 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{2} + 8 x + 2$
2.12.32.253 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{5} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{5} + 4 x^{2} + 8 x + 10$
2.12.32.274 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 10$
2.12.32.281 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 4 x^{2} + 8 x + 10$
2.12.32.303 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$
2.12.32.325 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{7} + 8 x^{6} + 4 x^{2} + 10$
2.12.32.375 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 12 x^{2} + 8 x + 2$
2.12.32.383 $x^{12} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{2} + 8 x + 10$
2.12.32.4 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 4 x^{2} + 8 x + 10$
2.12.32.401 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{3} + 12 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{3} + 12 x^{2} + 2$
2.12.32.422 $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{6} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.12.32.468 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{6} + 4 x^{2} + 10$
2.12.32.473 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$
2.12.32.496 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 2$
2.12.32.510 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 4 x^{2} + 2$
2.12.32.515 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{7} + 12 x^{2} + 10$
2.12.32.518 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{4} + 4 x^{2} + 2$
2.12.32.527 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 12 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 10$
2.12.32.536 $x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 12 x^{6} + 4 x^{2} + 8 x + 2$
2.12.32.6 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{8} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.12.32.64 $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 2, 8/3, 8/3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 10$
2.12.32.87 $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 12 x^{2} + 2$ $2$ $12$ $1$ $32$ $C_2^2.\GL(2,\mathbb{Z}/4)$ (as 12T149) $[8/3, 11/3]$ $[2, 8/3, 8/3, 3, 11/3, 11/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 8 x^{7} + 4 x^{6} + 12 x^{2} + 2$
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