| 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 |
| 2.5.4.30a3.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2}\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a5.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a6.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2\right) x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a29.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{2} ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{3} + 2 t^{2} x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + t^4$ |
$[1, 3, 7]$ |
| 2.5.4.30a45.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{3} + 2 t x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t) z + (t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a46.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{3} + \left(2 t^{4} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^3 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a58.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{3} + \left(2 t^{4} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a66.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{2} + 2 t + 2\right) x^{3} + \left(2 t + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2) z + t^3$ |
$[1, 3, 7]$ |
| 2.5.4.30a68.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{2} + 2 t + 2\right) x^{3} + \left(2 t^{3} + 2 t^{2}\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a70.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{2} + 2 t\right) x^{3} + \left(2 t^{4} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^3 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a94.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2\right) x^{3} + \left(2 t^{4} + 2 t^{2} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^2 + t) z + (t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a121.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2 t\right) x^{3} + 2 t^{3} x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^2 + t + 1) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a130.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{2} + 2 t + 2\right) x^{3} + 2 t^{3} x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^2 + t + 1) z + (t^4 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a158.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{2}\right) x^{3} + \left(2 t^{4} + 2 t^{2}\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2 + t + 1) z + (t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a168.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t + 2\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^4 + t^3 + t^2 + t + 1) z + (t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a182.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t^{2} x^{3} + \left(2 t^{3} + 2 t + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + t + 1) z + (t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a200.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + t + 1) z + (t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.34 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{3} + 4 t^{2} + 4 t + 4\right) x^{3} + 2 t x^{2} + \left(4 t^{4} + 4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.35 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(6 x^{3} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 2 t x^{2} + \left(4 t^{4} + 4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.41 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 6 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4 t\right) x^{3} + 2 t^{2} x^{2} + \left(4 t^{4} + 4 t^{3} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.43 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 2 x^{3} + 6 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 t^{3} x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t^{2} + 4\right) x + 8 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.47 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(6 x^{3} + 4 x^{2} + 6 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 t^{4} x^{2} + \left(4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.48 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 6 x^{3} + 4 x^{2} + 6 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{3} + 4 t + 4\right) x^{3} + 2 t^{4} x^{2} + \left(4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.51 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(6 x^{3} + 2 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{2} + 4\right) x^{3} + 2 t^{2} x^{2} + \left(4 t^{4} + 4 t^{3} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.53 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 6 x^{3} + 2 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{2} + 4 t + 4\right) x^{3} + 2 t^{4} x^{2} + \left(4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.55 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4 t^{2} + 4 t + 4\right) x^{3} + 2 t^{2} x^{2} + \left(4 t^{4} + 4 t^{3} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.56 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 2 x^{3} + 4 x^{2} + 2 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{3} + 4 t^{2}\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + \left(4 t^{4} + 4 t^{2}\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.57 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 6 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4 t + 4\right) x^{3} + 2 t^{2} x^{2} + \left(4 t^{4} + 4 t^{3} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.59 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 2 x^{3} + 6 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t^{2} + 4\right) x + 8 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b29.61 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(6 x^{3} + 6 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{3} + 4 t^{2} + 4 t\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t + 2\right) x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t^{2} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b126.34 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(6 x^{3} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4\right) ( x^{5} + x^{2} + 1 ) + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4 t^{2}\right) x^{3} + 2 t^{3} x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t\right) x + 8 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t + 1),(t^2 + t + 1) z + (t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b126.36 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 6 x^{3} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4\right) ( x^{5} + x^{2} + 1 ) + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{3} + 4 t^{2}\right) x^{3} + 2 t^{3} x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t + 1),(t^2 + t + 1) z + (t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b126.38 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(6 x^{3} + 4 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4\right) ( x^{5} + x^{2} + 1 ) + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 t^{3} x^{3} + 2 t^{3} x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t\right) x + 8 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t + 1),(t^2 + t + 1) z + (t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b126.43 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 2 x^{3} + 4 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4\right) ( x^{5} + x^{2} + 1 ) + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{2} + 4 t\right) x^{3} + 2 t^{3} x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t + 1),(t^2 + t + 1) z + (t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b126.52 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 6 x^{3} + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4\right) ( x^{5} + x^{2} + 1 ) + 4 x + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{2} + 4\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2 t\right) x^{2} + \left(4 t^{2} + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t + 1),(t^2 + t + 1) z + (t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b126.62 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 4 x + 6\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x^{3} ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4\right) ( x^{5} + x^{2} + 1 ) + 12 x + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4 t^{2}\right) x^{3} + \left(2 t^{4} + 2 t + 2\right) x^{2} + \left(4 t^{3} + 4 t^{2}\right) x + 8 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t + 1),(t^2 + t + 1) z + (t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.40b192.36 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{3} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 12 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4\right) x^{3} + \left(2 t^{3} + 2 t + 2\right) x^{2} + \left(4 t^{3} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + t + 1),(t^3 + t^2 + t + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.40b192.40 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{3} + 4 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 12 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t\right) x^{3} + \left(2 t^{3} + 2 t + 2\right) x^{2} + \left(4 t^{3} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + t + 1),(t^3 + t^2 + t + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.40b192.42 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 6 x ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 12 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{2} + 4 t + 4\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{2} + \left(4 t^{3} + 4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + t + 1),(t^3 + t^2 + t + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.40b192.56 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 2 x + 4\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{3} + 4 t + 4\right) x^{3} + \left(2 t^{4} + 2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{2} + \left(4 t^{4} + 4 t^{3} + 4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + t + 1),(t^3 + t^2 + t + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.40b192.60 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{3} + 6 x + 4\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 12 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{2} + 4\right) x^{3} + \left(2 t^{3} + 2\right) x^{2} + 4 t^{3} x + 8 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + t + 1),(t^3 + t^2 + t + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.40b192.61 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{2} + 6 x + 4\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t^{2} + 4\right) x^{3} + \left(2 t^{4} + 2 t\right) x^{2} + \left(4 t^{4} + 4 t + 4\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + t + 1),(t^3 + t^2 + t + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.40b192.64 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(4 x^{3} + 4 x^{2} + 6 x + 4\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3} + 4 x^{2} + 4 x\right) ( x^{5} + x^{2} + 1 ) + 12 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$40$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, 3]$ |
$[1,2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(2 t^{3} + 2 t^{2} + 2 t + 2\right) x^{2} + \left(4 t^{3} + 4 t^{2} + 4 t\right) x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + t + 1),(t^3 + t^2 + t + 1) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.45a2.1157 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 8 x^{2} ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 10 t x^{2} + \left(8 t + 8\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.45a2.1159 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(8 x^{4} + 8 x^{2}\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 10 t x^{2} + \left(8 t^{4} + 8 t + 8\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.45a2.1166 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 10 x ( x^{5} + x^{2} + 1 )^{2} + \left(8 x^{2} + 8 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 10 t x^{2} + 8 x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.45a2.1168 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 10 x ( x^{5} + x^{2} + 1 )^{2} + \left(8 x^{4} + 8 x^{2} + 8 x\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 10 t x^{2} + \left(8 t^{4} + 8\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.45a2.1171 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + \left(8 x^{4} + 8\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{3} + 4 t\right) x^{3} + 10 t^{4} x^{2} + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.45a2.1178 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 10 x ( x^{5} + x^{2} + 1 )^{2} + \left(8 x + 8\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(2 t^{3} + 2 t^{2} + 2\right) x^{2} + \left(8 t^{4} + 8 t^{2} + 8 t\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.45a2.1180 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 4 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 10 x ( x^{5} + x^{2} + 1 )^{2} + \left(8 x^{4} + 8 x + 8\right) ( x^{5} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_2^8:C_{10}$ (as 20T256) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + \left(4 t^{4} + 4 t + 4\right) x^{3} + 2 t x^{2} + \left(8 t^{4} + 8 t\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t),(t^4 + t^3 + t) z + (t^4 + t^3 + 1)$ |
$[1, 3, 7]$ |
