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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.12.26.101 $x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 10$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 10$
2.12.26.103 $x^{12} + 4 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$
2.12.26.104 $x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 2$
2.12.26.110 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 2$
2.12.26.112 $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 6$
2.12.26.113 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$
2.12.26.116 $x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 6$
2.12.26.117 $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 14$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 14$
2.12.26.120 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 14$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 14$
2.12.26.124 $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$
2.12.26.127 $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$
2.12.26.128 $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$
2.12.26.27 $x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 2$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 2$
2.12.26.3 $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 10$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 10$
2.12.26.37 $x^{12} + 4 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$
2.12.26.4 $x^{12} + 4 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 6$
2.12.26.46 $x^{12} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 10$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{4} + 4 x^{3} + 10$
2.12.26.50 $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{3} + 4 x^{2} + 2$
2.12.26.87 $x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 14$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x^{2} + 14$
2.12.26.91 $x^{12} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$ $2$ $12$ $1$ $26$ $C_2^2\times S_4$ (as 12T48) $[2, 3]$ $[4/3, 4/3, 2, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 2$
2.12.28.108 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$
2.12.28.133 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 10$
2.12.28.155 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$
2.12.28.180 $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$
2.12.28.195 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.218 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.221 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 10$
2.12.28.236 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$
2.12.28.243 $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.245 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 6$
2.12.28.251 $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 10$
2.12.28.253 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.57 $x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.12.28.65 $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$
2.12.28.8 $x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{2} + 10$
2.12.28.91 $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ $2$ $12$ $1$ $28$ $C_2^2\times S_4$ (as 12T48) $[8/3, 3]$ $[2, 8/3, 8/3, 3]_{3}^{2}$ $t + 1$ $x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$
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