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 |
5.2.10.30a1.1 |
|
$( x^{2} + 4 x + 2 )^{10} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.2 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 x ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.3 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.4 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.5 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.6 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(15 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.7 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.8 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 10\right) ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.9 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.10 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 15\right) ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.11 |
|
$( x^{2} + 4 x + 2 )^{10} + 20 ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.12 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 20\right) ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.13 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(15 x + 20\right) ( x^{2} + 4 x + 2 )^{7} + 20 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.14 |
|
$( x^{2} + 4 x + 2 )^{10} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$C_2\times F_5$ (as 20T13) |
$40$ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.15 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$C_5^3:(C_2\times C_4)$ (as 20T183) |
$1000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.16 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 x ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.17 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$D_5:F_5$ (as 20T54) |
$200$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.18 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$C_5^3:(C_2\times C_4)$ (as 20T183) |
$1000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.19 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.20 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$D_5:F_5$ (as 20T54) |
$200$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.21 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a1.22 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 20\right) ( x^{2} + 4 x + 2 )^{7} + 20 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 2$ |
undefined |
5.2.10.30a2.1 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.2 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.3 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.4 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.5 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(15 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.6 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.7 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:C_8$ (as 20T297) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.8 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(15 x + 10\right) ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.9 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.10 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 15\right) ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.11 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(15 x + 15\right) ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.12 |
|
$( x^{2} + 4 x + 2 )^{10} + 20 ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.13 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(15 x + 20\right) ( x^{2} + 4 x + 2 )^{7} + 15 x ( x^{2} + 4 x + 2 )^{6} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.14 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.15 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$C_5^3:(C_2\times C_4)$ (as 20T183) |
$1000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.16 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 x ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.17 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.18 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.19 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$C_5^3:(C_2\times C_4)$ (as 20T183) |
$1000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.20 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$C_{10}:F_5$ (as 20T52) |
$200$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.21 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a2.22 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 20\right) ( x^{2} + 4 x + 2 )^{7} + 15 ( x^{2} + 4 x + 2 )^{6} + 5$ |
$D_5:F_5$ (as 20T54) |
$200$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 4$ |
undefined |
5.2.10.30a3.1 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 1$ |
undefined |
5.2.10.30a3.2 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{7} + 10 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 1$ |
undefined |
5.2.10.30a3.3 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 x ( x^{2} + 4 x + 2 )^{7} + 10 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 1$ |
undefined |
5.2.10.30a3.4 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{7} + 10 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 1$ |
undefined |
5.2.10.30a3.5 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 10 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 1$ |
undefined |
5.2.10.30a3.6 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{7} + 10 ( x^{2} + 4 x + 2 )^{6} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[6, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^2 + 1$ |
undefined |