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 |
| 3.2.9.44a1.1 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$18$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.2 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$9$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.3 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.4 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.5 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3\times D_9$ (as 18T19) |
$54$ |
$9$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.6 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$9$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.7 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_9:C_6$ (as 18T18) |
$54$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.8 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.9 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
$C_3\times D_9$ (as 18T19) |
$54$ |
$9$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.10 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.11 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.12 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.13 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.14 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.15 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.16 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.17 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.18 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 x ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.19 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.20 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.21 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.22 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.23 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.24 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$D_9:C_3^2$ (as 18T83) |
$162$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.25 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.26 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
$C_3^3:D_9$ (as 18T172) |
$486$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.27 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.28 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.29 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.30 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.31 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.32 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^3:D_9$ (as 18T172) |
$486$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.33 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.34 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.35 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
$D_9:C_3^2$ (as 18T83) |
$162$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.36 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 18 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.37 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 18 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_9:C_6$ (as 18T18) |
$54$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.38 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 18 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_9:C_6$ (as 18T18) |
$54$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.39 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 18 ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$D_9:C_3^2$ (as 18T83) |
$162$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.40 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.41 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.42 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.43 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.44 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.45 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.46 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
$C_3^5.S_3$ (as 18T332) |
$1458$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.47 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.48 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 27 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.49 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 ) + 9 x + 3$ |
$C_3^3.(C_3\times S_3)$ (as 18T174) |
$486$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
| 3.2.9.44a1.50 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 ) + 9 x + 3$ |
$C_3^3.(C_3\times S_3)$ (as 18T174) |
$486$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 2$ |
undefined |
