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 |
| 3.2.9.48a1.1 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 3$ |
$C_3^3:D_6$ (as 18T134) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.2 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:S_3^2$ (as 18T257) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.3 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.4 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:S_3^2$ (as 18T257) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.5 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + 54 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.6 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.7 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.8 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.9 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.10 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.11 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 54 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.12 |
$( x^{2} + 2 x + 2 )^{9} + 9 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.13 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.14 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.15 |
$( x^{2} + 2 x + 2 )^{9} + 18 x ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.16 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.17 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.18 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.19 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.20 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 54 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:D_6$ (as 18T134) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.21 |
$( x^{2} + 2 x + 2 )^{9} + 9 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.22 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.23 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.24 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.25 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.26 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 54 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.27 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.28 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.29 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.30 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.31 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3$ |
$C_3^3:D_6$ (as 18T134) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.32 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:S_3^2$ (as 18T257) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.33 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.34 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.35 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 54 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:D_6$ (as 18T134) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.36 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.37 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.38 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.39 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.40 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.41 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 54 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.42 |
$( x^{2} + 2 x + 2 )^{9} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.43 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.44 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a1.45 |
$( x^{2} + 2 x + 2 )^{9} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 )^{8} + 9 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 54\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T422) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.48a2.1 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.48a2.2 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 27 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^4:D_6$ (as 18T255) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.48a2.3 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 27 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.48a2.4 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + \left(27 x + 27\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^4:D_6$ (as 18T255) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.48a2.5 |
$( x^{2} + 2 x + 2 )^{9} + 18 ( x^{2} + 2 x + 2 )^{7} + 54 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[16, 9, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
