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 |
| 3.2.9.42b1.1 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.2 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.3 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$C_3^2:D_6$ (as 18T52) |
$108$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.4 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$C_3^2:S_3^2$ (as 18T135) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.5 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 9 x ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$C_3^2:S_3^2$ (as 18T135) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.6 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 9 x ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.7 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.8 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.9 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.10 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$C_3^2:S_3^2$ (as 18T135) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.11 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.12 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.13 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.14 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.15 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.16 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$C_3^2:S_3^2$ (as 18T135) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.17 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.18 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 3$ |
$C_3^2:S_3^2$ (as 18T135) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.19 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.20 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.21 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.22 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.23 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 9 x ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.24 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 9 x ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.25 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.26 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 18 x ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.27 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 18 x ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:S_3^2$ (as 18T244) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.28 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:S_3^2$ (as 18T244) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.29 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.30 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:S_3^2$ (as 18T244) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.31 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.32 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.33 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.34 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:S_3^2$ (as 18T244) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.35 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.36 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.37 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.38 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.39 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 18 ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:S_3^2$ (as 18T244) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.40 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.41 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.42 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.43 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.44 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.45 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 18 x ( x^{2} + 2 x + 2 )^{4} + 9 x ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.46 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{4} + 9 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^2:D_6$ (as 18T52) |
$108$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.47 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 9 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.48 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{6} + 9 ( x^{2} + 2 x + 2 )^{4} + 9 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.49 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 9 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^2:S_3^2$ (as 18T135) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.42b1.50 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{6} + 9 x ( x^{2} + 2 x + 2 )^{5} + 9 ( x^{2} + 2 x + 2 )^{4} + 9 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^2:S_3^2$ (as 18T135) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[13, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
