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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.29.1 $x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 10$
2.12.29.10 $x^{12} + 2 x^{6} + 8 x^{5} + 6$ $2$ $12$ $1$ $29$ $D_4\times S_4$ (as 12T86) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 8 x^{5} + 6$
2.12.29.100 $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 10$ $2$ $12$ $1$ $29$ $C_4^3:D_6$ (as 12T185) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 10$
2.12.29.101 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x + 14$
2.12.29.102 $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{4} + 8 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{4} + 8 x^{2} + 2$
2.12.29.103 $x^{12} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_4^3:D_6$ (as 12T185) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 2 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 8 x + 10$
2.12.29.104 $x^{12} + 6 x^{10} + 2 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 2 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 2$
2.12.29.105 $x^{12} + 2 x^{6} + 8 x^{5} + 2$ $2$ $12$ $1$ $29$ $D_4\times S_4$ (as 12T86) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 8 x^{5} + 2$
2.12.29.106 $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$
2.12.29.107 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 12 x^{4} + 12 x^{2} + 14$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 14 x^{6} + 12 x^{4} + 12 x^{2} + 14$
2.12.29.108 $x^{12} + 2 x^{10} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 10 x^{6} + 8 x^{3} + 4 x^{2} + 8 x + 10$
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) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 12 x^{4} + 4 x^{2} + 8 x + 10$
2.12.29.11 $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{3} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{3} + 8 x + 10$
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) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{2} + 2$
2.12.29.112 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{4} + 8 x + 2$
2.12.29.113 $x^{12} + 6 x^{10} + 4 x^{9} + 14 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 14 x^{6} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$
2.12.29.114 $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 14$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 14$
2.12.29.115 $x^{12} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 12 x^{2} + 6$
2.12.29.116 $x^{12} + 4 x^{11} + 6 x^{10} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$
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) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{4} + 2$
2.12.29.118 $x^{12} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 12 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 12 x^{2} + 6$
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) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{2} + 8 x + 14$
2.12.29.12 $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{2} + 14$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{2} + 14$
2.12.29.120 $x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $2$ $12$ $1$ $29$ $D_4\times S_4$ (as 12T86) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$
2.12.29.121 $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 8 x + 10$
2.12.29.122 $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_4^3:D_6$ (as 12T185) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 14$
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) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 10 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.12.29.124 $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 6$ $2$ $12$ $1$ $29$ $D_4\times S_4$ (as 12T86) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 6$
2.12.29.125 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 8 x + 14$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 8 x + 14$
2.12.29.126 $x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 2$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 2$
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) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.12.29.128 $x^{12} + 6 x^{10} + 4 x^{8} + 10 x^{6} + 12 x^{4} + 12 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_4^3:D_6$ (as 12T185) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{8} + 10 x^{6} + 12 x^{4} + 12 x^{2} + 6$
2.12.29.129 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_4^3:D_6$ (as 12T185) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 2$
2.12.29.13 $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 6$ $2$ $12$ $1$ $29$ $D_4\times S_4$ (as 12T86) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 6$
2.12.29.130 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 4 x^{2} + 14$ $2$ $12$ $1$ $29$ $C_4^3:D_6$ (as 12T185) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 2 x^{6} + 4 x^{2} + 14$
2.12.29.131 $x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$
2.12.29.132 $x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 6$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 6$
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) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 12 x^{2} + 14$
2.12.29.135 $x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 10$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 2 x^{8} + 4 x^{7} + 14 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 10$
2.12.29.136 $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$
2.12.29.137 $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{3} + 8 x + 6$ $2$ $12$ $1$ $29$ $D_4\times S_4$ (as 12T86) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 8 x^{3} + 8 x + 6$
2.12.29.138 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 6$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{2} + 6$
2.12.29.139 $x^{12} + 2 x^{10} + 10 x^{6} + 12 x^{2} + 2$ $2$ $12$ $1$ $29$ $C_4^3:D_6$ (as 12T185) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 10 x^{6} + 12 x^{2} + 2$
2.12.29.14 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ $2$ $12$ $1$ $29$ $C_2\wr (C_2\times S_4)$ (as 12T250) $[2, 7/2]$ $[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$
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) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 12 x^{4} + 4 x^{2} + 8 x + 14$
2.12.29.142 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 6$ $2$ $12$ $1$ $29$ $C_2\wr D_6$ (as 12T186) $[2, 7/2]$ $[4/3, 4/3, 2, 3, 19/6, 19/6, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 6$
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) $[2, 7/2]$ $[2, 8/3, 8/3, 3, 10/3, 10/3, 7/2]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$
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