| Label |
$n$ |
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 |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 2.2.8.54a2.745 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 8\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.746 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 24\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.747 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + \left(2 t + 18\right) x^{4} + \left(16 t + 16\right) x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.748 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 t x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.749 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 8\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.750 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 24\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.751 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + \left(2 t + 18\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.752 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 t x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.753 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 t x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.754 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 t x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.755 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 t x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.756 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 t x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.757 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 8\right) x^{4} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.758 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 24\right) x^{4} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.759 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 24\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.760 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + \left(4 t + 4\right) x^{6} + \left(2 t + 8\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 16 t x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.801 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 24\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.802 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.803 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 24\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.804 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.805 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 24\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.806 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.807 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 24\right) x^{4} + \left(16 t + 16\right) x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.808 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + \left(16 t + 16\right) x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1569 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + \left(2 t + 8\right) x^{4} + \left(16 t + 16\right) x^{3} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1573 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + \left(2 t + 8\right) x^{4} + 16 t x^{3} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1596 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 26\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1600 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 26\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1699 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 8 t x^{5} + \left(2 t + 8\right) x^{4} + 16 x^{3} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1703 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 8 t x^{5} + \left(2 t + 8\right) x^{4} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1714 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + \left(2 t + 10\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1718 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{5} + \left(2 t + 10\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1723 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + \left(2 t + 24\right) x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.1727 |
$16$ |
$( x^{2} + x + 1 )^{8} + 12 ( x^{2} + x + 1 )^{7} + \left(4 x + 2\right) ( x^{2} + x + 1 )^{6} + \left(12 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1444) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + \left(2 t + 24\right) x^{4} + 16 x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2489 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2490 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2491 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2492 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 16 t x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2493 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 24 ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2494 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + 24 ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 16 x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2495 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(16 x + 24\right) ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + \left(16 t + 16\right) x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2496 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 16\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 24\right) ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + \left(16 t + 16\right) x^{3} + 8 t x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2833 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + 16 t x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2834 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 24\right) x^{4} + 16 t x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2835 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 24\right) x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2836 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 x ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 t x^{6} + \left(2 t + 8\right) x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2837 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 16 t x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2838 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + 16 t x^{3} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2839 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 8\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 24\right) x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.54a2.2840 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(12 x + 6\right) ( x^{2} + x + 1 )^{5} + \left(2 x + 24\right) ( x^{2} + x + 1 )^{4} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 2$ |
$2$ |
$2$ |
$8$ |
$54$ |
$C_2^5.C_2\wr C_2^2$ (as 16T1455) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 2, 3, 3, \frac{7}{2}, \frac{7}{2}, 4, 4, \frac{9}{2}, \frac{9}{2}]^{2}$ |
$[1,1,2,2,\frac{5}{2},\frac{5}{2},3,3,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[2,3,3,\frac{7}{2},4,4,\frac{9}{2}]$ |
$[1,2,2,\frac{5}{2},3,3,\frac{7}{2}]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + \left(8 t + 8\right) x^{5} + \left(2 t + 8\right) x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + t,t z + t$ |
$[1, 3, 7, 15]$ |
