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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
2.8.16.75 $x^{8} + 2 x^{6} + 6 x^{4} + 4 x + 2$ $2$ $8$ $1$ $16$ $C_2\wr A_4$ (as 8T38) $[2, 2, 5/2]$ $[2, 2, 2, 2, 5/2]^{6}$ $t + 1$ $x^{8} + 2 x^{6} + 6 x^{4} + 4 x + 2$
2.8.16.76 $x^{8} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $8$ $1$ $16$ $C_2\wr A_4$ (as 8T38) $[2, 2, 5/2]$ $[2, 2, 2, 2, 5/2]^{6}$ $t + 1$ $x^{8} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x + 2$
2.8.16.77 $x^{8} + 2 x^{6} + 2 x^{4} + 4 x + 2$ $2$ $8$ $1$ $16$ $C_2\wr A_4$ (as 8T38) $[2, 2, 5/2]$ $[2, 2, 2, 2, 5/2]^{6}$ $t + 1$ $x^{8} + 2 x^{6} + 2 x^{4} + 4 x + 2$
2.8.16.78 $x^{8} + 2 x^{6} + 6 x^{4} + 4 x^{3} + 4 x + 2$ $2$ $8$ $1$ $16$ $C_2\wr A_4$ (as 8T38) $[2, 2, 5/2]$ $[2, 2, 2, 2, 5/2]^{6}$ $t + 1$ $x^{8} + 2 x^{6} + 6 x^{4} + 4 x^{3} + 4 x + 2$
2.8.18.79 $x^{8} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 10$ $2$ $8$ $1$ $18$ $C_2\wr A_4$ (as 8T38) $[2, 2, 3]$ $[2, 2, 2, 2, 3]^{6}$ $t + 1$ $x^{8} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 10$
2.8.18.80 $x^{8} + 4 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 10$ $2$ $8$ $1$ $18$ $C_2\wr A_4$ (as 8T38) $[2, 2, 3]$ $[2, 2, 2, 2, 3]^{6}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 10$
2.8.18.81 $x^{8} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 10$ $2$ $8$ $1$ $18$ $C_2\wr A_4$ (as 8T38) $[2, 2, 3]$ $[2, 2, 2, 2, 3]^{6}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 10$
2.8.18.82 $x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 10$ $2$ $8$ $1$ $18$ $C_2\wr A_4$ (as 8T38) $[2, 2, 3]$ $[2, 2, 2, 2, 3]^{6}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 4 x^{3} + 10$
2.8.20.105 $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.8.20.106 $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 4 x^{2} + 10$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 4 x^{2} + 10$
2.8.20.107 $x^{8} + 2 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.8.20.108 $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.8.20.109 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 4 x^{2} + 10$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 4 x^{2} + 10$
2.8.20.110 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 4 x^{2} + 10$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 4 x^{2} + 10$
2.8.20.111 $x^{8} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 2 x^{4} + 8 x + 2$
2.8.20.112 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 12 x^{2} + 10$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 12 x^{2} + 10$
2.8.20.113 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.8.20.114 $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 4 x^{2} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 4 x^{2} + 8 x + 2$
2.8.20.115 $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 12 x^{2} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 12 x^{2} + 8 x + 2$
2.8.20.116 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$
2.8.20.117 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.8.20.118 $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 6 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$
2.8.20.119 $x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x + 2$
2.8.20.120 $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ $2$ $8$ $1$ $20$ $C_2\wr A_4$ (as 8T38) $[2, 2, 7/2]$ $[2, 2, 2, 3, 3, 7/2]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 4 x^{5} + 14 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$
2.8.21.10 $x^{8} + 10 x^{6} + 8 x^{5} + 10 x^{4} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{5} + 10 x^{4} + 2$
2.8.21.11 $x^{8} + 2 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 8 x + 2$
2.8.21.12 $x^{8} + 2 x^{6} + 8 x^{5} + 2 x^{4} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 2 x^{4} + 2$
2.8.21.13 $x^{8} + 2 x^{6} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 10 x^{4} + 8 x^{2} + 8 x + 2$
2.8.21.14 $x^{8} + 10 x^{6} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 10 x^{4} + 8 x^{2} + 8 x + 2$
2.8.21.15 $x^{8} + 10 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 8 x + 2$
2.8.21.16 $x^{8} + 10 x^{6} + 10 x^{4} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 10 x^{4} + 2$
2.8.21.25 $x^{8} + 2 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$
2.8.21.26 $x^{8} + 2 x^{6} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$
2.8.21.27 $x^{8} + 10 x^{6} + 10 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 10 x^{4} + 8 x^{3} + 2$
2.8.21.28 $x^{8} + 10 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$
2.8.21.29 $x^{8} + 10 x^{6} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$
2.8.21.30 $x^{8} + 2 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$
2.8.21.31 $x^{8} + 2 x^{6} + 10 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 2 x^{6} + 10 x^{4} + 8 x^{3} + 2$
2.8.21.32 $x^{8} + 10 x^{6} + 2 x^{4} + 8 x^{3} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 10 x^{6} + 2 x^{4} + 8 x^{3} + 2$
2.8.21.41 $x^{8} + 4 x^{7} + 2 x^{6} + 6 x^{4} + 12 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 6 x^{4} + 12 x^{2} + 8 x + 2$
2.8.21.42 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.8.21.43 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6 x^{4} + 12 x^{2} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6 x^{4} + 12 x^{2} + 2$
2.8.21.44 $x^{8} + 4 x^{7} + 10 x^{6} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.8.21.45 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.8.21.46 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.8.21.47 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$
2.8.21.48 $x^{8} + 4 x^{7} + 10 x^{6} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 10$
2.8.21.57 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 2$
2.8.21.58 $x^{8} + 4 x^{7} + 10 x^{6} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$
2.8.21.59 $x^{8} + 4 x^{7} + 2 x^{6} + 6 x^{4} + 12 x^{2} + 8 x + 10$ $2$ $8$ $1$ $21$ $C_2\wr A_4$ (as 8T38) $[2, 2, 15/4]$ $[2, 2, 3, 7/2, 7/2, 15/4]^{3}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 6 x^{4} + 12 x^{2} + 8 x + 10$
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