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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.29.109 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 10$
2.12.29.110 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{2} + 14$
2.12.29.111 $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{2} + 2$
2.12.29.117 $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 2$
2.12.29.119 $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{2} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{2} + 8 x + 14$
2.12.29.123 $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.12.29.127 $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.12.29.133 $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 10$
2.12.29.134 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 12 x^{2} + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 12 x^{2} + 14$
2.12.29.140 $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{2} + 6$
2.12.29.141 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 14$
2.12.29.143 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.12.29.144 $x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$
2.12.29.145 $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 8 x^{5} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 8 x^{5} + 10$
2.12.29.146 $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$
2.12.29.148 $x^{12} + 10 x^{6} + 8 x^{3} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 10 x^{6} + 8 x^{3} + 8 x + 2$
2.12.29.149 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$
2.12.29.15 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 10$
2.12.29.150 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$
2.12.29.151 $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 8 x^{3} + 2$
2.12.29.157 $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 4 x^{2} + 2$
2.12.29.159 $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.12.29.161 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 4 x^{2} + 8 x + 6$
2.12.29.162 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 6$
2.12.29.163 $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$
2.12.29.166 $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 14$
2.12.29.169 $x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 6$
2.12.29.170 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 2$
2.12.29.174 $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 8 x^{3} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 8 x^{3} + 10$
2.12.29.179 $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$
2.12.29.183 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{4} + 12 x^{2} + 8 x + 6$
2.12.29.185 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$
2.12.29.186 $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 4 x^{2} + 6$
2.12.29.19 $x^{12} + 10 x^{6} + 8 x + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 10 x^{6} + 8 x + 6$
2.12.29.191 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 6$
2.12.29.194 $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 4 x^{2} + 6$
2.12.29.196 $x^{12} + 10 x^{6} + 8 x^{5} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 10 x^{6} + 8 x^{5} + 8 x + 2$
2.12.29.198 $x^{12} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$
2.12.29.2 $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 14$
2.12.29.200 $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 10$
2.12.29.204 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 14$
2.12.29.206 $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 6$
2.12.29.209 $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 12 x^{2} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 12 x^{2} + 8 x + 2$
2.12.29.21 $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 10$
2.12.29.211 $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 6$
2.12.29.212 $x^{12} + 4 x^{9} + 14 x^{6} + 8 x^{3} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 7/3, 7/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 14 x^{6} + 8 x^{3} + 8 x + 14$
2.12.29.213 $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 4 x^{4} + 4 x^{2} + 10$
2.12.29.214 $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 4 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 4 x^{2} + 6$
2.12.29.215 $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 6$
2.12.29.219 $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T193) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{2} + 10$
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