These invariants are all associated to absolute extensions of $\Q_{ 3 }$ within this relative family, not the relative extension.
| Label |
Polynomial $/ \Q_p$ |
Galois group $/ \Q_p$ |
Galois degree $/ \Q_p$ |
$\#\Aut(K/\Q_p)$ |
Artin slope content $/ \Q_p$ |
Swan slope content $/ \Q_p$ |
Hidden Artin slopes $/ \Q_p$ |
Hidden Swan slopes $/ \Q_p$ |
Ind. of Insep. $/ \Q_p$ |
Assoc. Inertia $/ \Q_p$ |
Resid. Poly |
Jump Set |
| 3.6.3.30a1.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.2 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 9 x^{4} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.3 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{5} + 9 x^{4}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2:D_6$ (as 18T42) |
$108$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.4 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 18 x^{4} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.5 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{5} + 18 x^{4}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2:D_6$ (as 18T42) |
$108$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.6 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{3}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.7 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 9 x^{3}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$\He_3:D_6$ (as 18T125) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.8 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 18 x^{3}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$\He_3:D_6$ (as 18T125) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.9 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 9 x^{2} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.10 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.11 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 9 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.12 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{3} + 9 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.13 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{3} + 9 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.14 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 9 x^{3} + 9 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.15 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 18 x^{3} + 9 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.16 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 18 x^{2} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.17 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 18 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.18 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 18 x^{3} + 18 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.19 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 9 x ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.20 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{5} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.21 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{3} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.22 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 18 x^{3} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.23 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.24 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 9 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.25 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{3} + 9 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.26 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{5} + 9 x^{3} + 9 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.27 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.28 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 18 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.29 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{5} + 9 x^{3} + 18 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3\times S_3^2$ (as 18T43) |
$108$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.30 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 9 x^{3} + 18 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.31 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{3} + 18 x^{2} + 9 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.32 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 18 x ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.33 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{3} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$\He_3:S_3^2$ (as 18T238) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.34 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{3} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.35 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{3} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.36 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.37 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.38 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{3} + 9 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.39 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{3} + 9 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$\He_3:S_3^2$ (as 18T238) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.40 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 18 x^{3} + 9 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.41 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.42 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{5} + 18 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.43 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 18 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.44 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{3} + 18 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.45 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{3} + 18 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.46 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{3} + 18 x^{2} + 18 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.47 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 9 ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.48 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.49 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(18 x^{4} + 9\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.30a1.50 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(9 x^{4} + 9 x^{3} + 9\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[3, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + t + 1)$ |
undefined |
