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 |
5.2.10.34a1.1 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:(C_2\times C_4)$ (as 20T300) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.2 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:(C_2\times C_4)$ (as 20T300) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.3 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 x ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.4 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.5 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:(C_2\times C_4)$ (as 20T300) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.6 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.7 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:(C_2\times C_4)$ (as 20T300) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.8 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.9 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 10\right) ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.10 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^4:(C_2\times C_4)$ (as 20T300) |
$5000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.11 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 15\right) ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.12 |
|
$( x^{2} + 4 x + 2 )^{10} + 20 ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$D_5\times C_5:F_5$ (as 20T180) |
$1000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.13 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 20\right) ( x^{2} + 4 x + 2 )^{9} + 15 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$D_5\times C_5:F_5$ (as 20T180) |
$1000$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.14 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
not computed |
$ $not computed$ $ |
$4$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.15 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.16 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 x ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.17 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.18 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.19 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.20 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
$D_5:F_5$ (as 20T54) |
$200$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.21 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
$D_5:F_5$ (as 20T54) |
$200$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a1.22 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 20\right) ( x^{2} + 4 x + 2 )^{9} + 15 ( x^{2} + 4 x + 2 )^{8} + 5$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 2]$ |
$z^5 + 2,2 z^4 + 1$ |
undefined |
5.2.10.34a2.1 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.2 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
$C_5\wr C_4$ (as 20T237) |
$2500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.3 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 50$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.4 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 75$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.5 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 100$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.6 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^2:C_{20}$ (as 20T127) |
$500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.7 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
$C_5^2:C_{20}$ (as 20T127) |
$500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.8 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 50$ |
$C_5^2:C_{20}$ (as 20T127) |
$500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.9 |
|
$( x^{2} + 4 x + 2 )^{10} + 10 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.10 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.11 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
$C_5^2:C_{20}$ (as 20T127) |
$500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.12 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 50$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.13 |
|
$( x^{2} + 4 x + 2 )^{10} + 15 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 75$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.14 |
|
$( x^{2} + 4 x + 2 )^{10} + 20 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.15 |
|
$( x^{2} + 4 x + 2 )^{10} + 20 x ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
$C_5\wr C_4$ (as 20T237) |
$2500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.16 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.17 |
|
$( x^{2} + 4 x + 2 )^{10} + 5 ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
$C_5\wr C_4$ (as 20T237) |
$2500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.18 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.19 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.20 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 50$ |
$C_5\wr C_4$ (as 20T237) |
$2500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.21 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 75$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.22 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 100$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.23 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^2:C_{20}$ (as 20T127) |
$500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.24 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.25 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(10 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 50$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.26 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(15 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$C_5^2:C_{20}$ (as 20T127) |
$500$ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.27 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(20 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |
5.2.10.34a2.28 |
|
$( x^{2} + 4 x + 2 )^{10} + \left(20 x + 5\right) ( x^{2} + 4 x + 2 )^{9} + 5 x ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 25$ |
not computed |
$ $not computed$ $ |
$5$ |
not computed |
not computed |
not computed |
not computed |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + 2$ |
undefined |