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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.8.20.85 $x^{8} + 2 x^{6} + 4 x^{5} + 2$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 2$
2.8.20.86 $x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 14$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 14$
2.8.20.87 $x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 2$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 2$
2.8.20.88 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 6$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 6$
2.8.20.89 $x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 2$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 2$
2.8.20.90 $x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 2$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 2$
2.8.20.91 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 14$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 14$
2.8.20.92 $x^{8} + 2 x^{6} + 4 x^{5} + 8 x + 6$ $2$ $8$ $1$ $20$ $C_2^2 \wr C_2$ (as 8T18) $[2, 2, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 8 x + 6$
2.8.22.107 $x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 2$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 2$
2.8.22.108 $x^{8} + 4 x^{7} + 14 x^{4} + 12 x^{2} + 14$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 14 x^{4} + 12 x^{2} + 14$
2.8.22.109 $x^{8} + 4 x^{7} + 6 x^{4} + 12 x^{2} + 14$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{4} + 12 x^{2} + 14$
2.8.22.110 $x^{8} + 4 x^{7} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.8.22.111 $x^{8} + 4 x^{7} + 10 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.8.22.112 $x^{8} + 4 x^{7} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 14$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 14$
2.8.22.113 $x^{8} + 4 x^{7} + 10 x^{4} + 4 x^{2} + 2$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{4} + 4 x^{2} + 2$
2.8.22.114 $x^{8} + 4 x^{7} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 6$ $2$ $8$ $1$ $22$ $C_2^2 \wr C_2$ (as 8T18) $[2, 3, 7/2]$ $[2, 2, 3, 7/2]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 6$
2.8.26.17 $x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 2$
2.8.26.18 $x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 18$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 8 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 18$
2.8.26.19 $x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 10$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 10$
2.8.26.20 $x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 10$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 10$
2.8.26.21 $x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 26$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 26$
2.8.26.22 $x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 8 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 2$
2.8.26.23 $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 2$
2.8.26.24 $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 26$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 26$
2.8.26.25 $x^{8} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 26$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 26$
2.8.26.26 $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 18$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 18$
2.8.26.27 $x^{8} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 10$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 10$
2.8.26.28 $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 10$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 10$
2.8.26.29 $x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 26$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 26$
2.8.26.30 $x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 18$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 18$
2.8.26.31 $x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 8 x^{7} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 2$
2.8.26.32 $x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 18$ $2$ $8$ $1$ $26$ $C_2^2 \wr C_2$ (as 8T18) $[3, 7/2, 4]$ $[2, 3, 7/2, 4]^{2}$ $t + 1$ $x^{8} + 12 x^{6} + 12 x^{4} + 8 x^{3} + 18$
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