Learn more

Refine search


Results (1-50 of 384 matches)

Next   displayed columns for results
Label Polynomial $p$ $f$ $e$ $c$ Galois group $u$ $t$ Visible Artin slopes Visible Swan slopes Artin slope content Swan slope content Hidden Artin slopes Hidden Swan slopes Unram. Ext. Eisen. Poly. Ind. of Insep. Assoc. Inertia Resid. Poly Jump Set
2.1.8.21a1.1 $x^{8} + 2 x^{6} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.2 $x^{8} + 10 x^{6} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.3 $x^{8} + 2 x^{6} + 8 x^{5} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.4 $x^{8} + 10 x^{6} + 8 x^{5} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{5} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.5 $x^{8} + 2 x^{6} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.6 $x^{8} + 10 x^{6} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.7 $x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.8 $x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.9 $x^{8} + 4 x^{7} + 2 x^{6} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.10 $x^{8} + 4 x^{7} + 10 x^{6} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.11 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.12 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.13 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.14 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.15 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.16 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 2$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 11, 19]$
2.1.8.21a1.17 $x^{8} + 2 x^{6} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.18 $x^{8} + 10 x^{6} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.19 $x^{8} + 2 x^{6} + 8 x^{5} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.20 $x^{8} + 10 x^{6} + 8 x^{5} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{5} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.21 $x^{8} + 2 x^{6} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.22 $x^{8} + 10 x^{6} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.23 $x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.24 $x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.25 $x^{8} + 4 x^{7} + 2 x^{6} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.26 $x^{8} + 4 x^{7} + 10 x^{6} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.27 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.28 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.29 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.30 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.31 $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.21a1.32 $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $2$ $1$ $8$ $21$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, 2, \frac{15}{4}]$ $[1,1,\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[3,\frac{7}{2},\frac{7}{2}]^{2}$ $[2,\frac{5}{2},\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 6$ $[14, 6, 6, 0]$ $[2, 1]$ $z^6 + 1,z + 1$ $[1, 3, 6, 16]$
2.1.8.24d1.1 $x^{8} + 2 x^{4} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{4} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.2 $x^{8} + 8 x^{6} + 2 x^{4} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 8 x^{6} + 2 x^{4} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.3 $x^{8} + 2 x^{4} + 8 x^{3} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{4} + 8 x^{3} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.4 $x^{8} + 8 x^{6} + 2 x^{4} + 8 x^{3} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 8 x^{6} + 2 x^{4} + 8 x^{3} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.5 $x^{8} + 10 x^{4} + 8 x^{3} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{4} + 8 x^{3} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.6 $x^{8} + 8 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 8 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.7 $x^{8} + 2 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{4} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.8 $x^{8} + 8 x^{6} + 2 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 8 x^{6} + 2 x^{4} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.9 $x^{8} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.10 $x^{8} + 8 x^{6} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 8 x^{6} + 10 x^{4} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.11 $x^{8} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.12 $x^{8} + 8 x^{6} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 8 x^{6} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.13 $x^{8} + 4 x^{6} + 2 x^{4} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{6} + 2 x^{4} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.14 $x^{8} + 12 x^{6} + 2 x^{4} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 12 x^{6} + 2 x^{4} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.15 $x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.16 $x^{8} + 12 x^{6} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 12 x^{6} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 5, 13, 21]$
2.1.8.24d1.17 $x^{8} + 2 x^{4} + 8 x + 6$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 2 x^{4} + 8 x + 6$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 16]$
2.1.8.24d1.18 $x^{8} + 8 x^{6} + 2 x^{4} + 8 x + 6$ $2$ $1$ $8$ $24$ $C_2 \wr C_2\wr C_2$ (as 8T35) $2$ $1$ $[2, \frac{7}{2}, \frac{15}{4}]$ $[1,\frac{5}{2},\frac{11}{4}]$ $[2, 2, 3, \frac{7}{2}, \frac{7}{2}, \frac{15}{4}]^{2}$ $[1,1,2,\frac{5}{2},\frac{5}{2},\frac{11}{4}]^{2}$ $[2,3,\frac{7}{2}]^{2}$ $[1,2,\frac{5}{2}]^{2}$ $t + 1$ $x^{8} + 8 x^{6} + 2 x^{4} + 8 x + 6$ $[17, 12, 4, 0]$ $[1, 1, 1]$ $z^4 + 1,z^2 + 1,z + 1$ $[1, 2, 4, 16]$
Next   displayed columns for results