| Label |
Packet size |
Polynomial |
Galois group |
Galois degree |
$\#\Aut(K/\Q_p)$ |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 2.5.4.30a10.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a10.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$C_2^5:C_{10}$ (as 20T74) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a10.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a10.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 4 x + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^3 + t^2 + 1) z + (t^4 + t + 1)$ |
$[1, 2, 7]$ |
| 2.5.4.30a24.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$C_2^5:C_{10}$ (as 20T72) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a24.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a24.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$C_2^5:C_{10}$ (as 20T72) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a24.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a25.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$C_2^4:C_5$ (as 20T17) |
$80$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a25.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x^{4} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a25.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a25.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x^{4} + 4 x + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a30.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$C_2^5:C_{10}$ (as 20T72) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a30.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a30.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$C_2^5:C_{10}$ (as 20T72) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a30.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^3 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a35.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + t^3$ |
$[1, 3, 7]$ |
| 2.5.4.30a35.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x^{3} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + t^3$ |
$[1, 3, 7]$ |
| 2.5.4.30a35.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + t^3$ |
$[1, 3, 7]$ |
| 2.5.4.30a35.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x^{3} + 4 x^{2} + 2$ |
$C_2\wr C_5$ (as 20T41) |
$160$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + t^3$ |
$[1, 3, 7]$ |
| 2.5.4.30a37.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a37.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$C_2\wr C_5$ (as 20T41) |
$160$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a37.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$C_2^5:C_{10}$ (as 20T74) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a37.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{3} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + 2 x ( x^{5} + x^{2} + 1 )^{2} + 4 x + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t) z + (t^4 + t^2)$ |
$[1, 3, 7]$ |
| 2.5.4.30a47.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$C_2\wr C_5$ (as 20T44) |
$160$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 6]$ |
| 2.5.4.30a47.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{3} + 2$ |
$C_2^5:C_{10}$ (as 20T86) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 8]$ |
| 2.5.4.30a47.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 8]$ |
| 2.5.4.30a47.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{3} + 6$ |
$C_2^5:C_{10}$ (as 20T86) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2)$ |
$[1, 3, 6]$ |
| 2.5.4.30a49.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{2} ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a49.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{2} ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{4} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a49.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{2} ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$C_2^4:C_5$ (as 20T23) |
$80$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a49.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + 2 x^{2} ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{4} + 4 x + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a59.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$C_2^5:C_{10}$ (as 20T72) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a59.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a59.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a59.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a62.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$C_2\wr C_5$ (as 20T41) |
$160$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a62.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
$C_2^5:C_{10}$ (as 20T74) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a62.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$C_2\wr C_5$ (as 20T41) |
$160$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a62.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 6$ |
$C_2^5:C_{10}$ (as 20T74) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^2 + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a67.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a67.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x + 2$ |
$C_2^5:C_{10}$ (as 20T74) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a67.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a67.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{4} + 2 x^{2} + 2 x\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^4 + t^3 + t^2) z + (t^4 + t^3 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.30a82.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^2 + t) z + 1$ |
$[1, 3, 7]$ |
| 2.5.4.30a82.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 2$ |
$C_2^5:C_{10}$ (as 20T74) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^2 + t) z + 1$ |
$[1, 3, 7]$ |
| 2.5.4.30a82.3 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 6$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^2 + t) z + 1$ |
$[1, 3, 7]$ |
| 2.5.4.30a82.4 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{2} + 6$ |
$C_2^5:C_{10}$ (as 20T74) |
$320$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^2 + t) z + 1$ |
$[1, 3, 7]$ |
| 2.5.4.30a83.1 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$C_2^4:C_5$ (as 20T17) |
$80$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^2 + t) z + (t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.5.4.30a83.2 |
|
$( x^{5} + x^{2} + 1 )^{4} + \left(2 x^{3} + 2 x^{2}\right) ( x^{5} + x^{2} + 1 )^{3} + \left(2 x^{2} + 2 x + 2\right) ( x^{5} + x^{2} + 1 )^{2} + 4 x^{4} + 2$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + (t^2 + t) z + (t^3 + t^2 + t + 1)$ |
$[1, 3, 7]$ |
