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 |
| 3.2.9.40a1.1 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.2 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5:D_6$ (as 18T411) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.3 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.4 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.5 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.6 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.7 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.8 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.9 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.10 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.11 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.12 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.13 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.14 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.15 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.16 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.17 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + 9 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.18 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 9 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.19 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 9 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5:D_6$ (as 18T411) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.20 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 9 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.21 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 9 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.22 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.23 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.24 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.25 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.26 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.27 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.28 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.29 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.30 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.31 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.32 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + 18 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.33 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 18 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.34 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 18 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.35 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 18 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.36 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + 18 ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.37 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.38 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.39 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.40 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.41 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.42 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.43 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.44 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.45 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{7} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{5} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.46 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{4} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.47 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{4} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.48 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{4} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.49 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{4} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^5:D_6$ (as 18T411) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.40a1.50 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{7} + 9 x ( x^{2} + 2 x + 2 )^{4} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[12, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |