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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.22.108 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x + 2$ $2$ $12$ $1$ $22$ $C_2^4:S_4$ (as 12T145) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x + 2$
2.12.22.111 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $12$ $1$ $22$ $C_2^4:S_4$ (as 12T145) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$
2.12.22.119 $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x + 6$ $2$ $12$ $1$ $22$ $C_2^4:S_4$ (as 12T145) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x + 6$
2.12.22.81 $x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ $2$ $12$ $1$ $22$ $C_2^4:S_4$ (as 12T145) $[2, 7/3]$ $[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$
2.12.24.346 $x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_2^4:S_4$ (as 12T145) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 6$
2.12.24.389 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x + 6$ $2$ $12$ $1$ $24$ $C_2^4:S_4$ (as 12T145) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x + 6$
2.12.24.422 $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_2^4:S_4$ (as 12T145) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 2$
2.12.24.427 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x + 2$ $2$ $12$ $1$ $24$ $C_2^4:S_4$ (as 12T145) $[2, 8/3]$ $[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x + 2$
2.12.26.123 $x^{12} + 4 x^{11} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 10$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 10$
2.12.26.18 $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$
2.12.26.19 $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$
2.12.26.22 $x^{12} + 4 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$
2.12.26.28 $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$
2.12.26.68 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$
2.12.26.96 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 14$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 14$
2.12.26.98 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^4:S_4$ (as 12T145) $[2, 3]$ $[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$
2.12.28.115 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 10$
2.12.28.122 $x^{12} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 2$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 2$
2.12.28.128 $x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{2} + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{2} + 14$
2.12.28.131 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$
2.12.28.136 $x^{12} + 2 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 6$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 6$
2.12.28.138 $x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 10$
2.12.28.142 $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 14$
2.12.28.144 $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$
2.12.28.154 $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 10$
2.12.28.162 $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$
2.12.28.167 $x^{12} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 14$
2.12.28.172 $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$
2.12.28.174 $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 2$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 2$
2.12.28.176 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 14$
2.12.28.196 $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$
2.12.28.198 $x^{12} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 14$
2.12.28.199 $x^{12} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 14$
2.12.28.204 $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 10$
2.12.28.210 $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 10$
2.12.28.214 $x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 2$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 2$
2.12.28.219 $x^{12} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 14$
2.12.28.226 $x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$
2.12.28.23 $x^{12} + 4 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 14$
2.12.28.252 $x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 10$
2.12.28.3 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 2$
2.12.28.38 $x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$
2.12.28.47 $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 2$
2.12.28.53 $x^{12} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$
2.12.28.59 $x^{12} + 4 x^{10} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$
2.12.28.67 $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 14$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 14$
2.12.28.68 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 8 x + 2$
2.12.28.86 $x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ $2$ $12$ $1$ $28$ $C_2^4:S_4$ (as 12T145) $[2, 10/3]$ $[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$
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