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 |
| 3.2.9.30b1.1 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.2 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.3 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:S_3^2$ (as 18T241) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.4 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
$C_3^3:S_3^2$ (as 18T241) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.5 |
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.6 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.7 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
$C_3^3:D_6$ (as 18T126) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.8 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.9 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.10 |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.11 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.12 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
$C_3\times S_3^2$ (as 18T46) |
$108$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.13 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.14 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b1.15 |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (t + 1)$ |
undefined |
| 3.2.9.30b2.1 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.2 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
$C_3^3:D_6$ (as 18T119) |
$324$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.3 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.4 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T126) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.5 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.6 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
$C_3^3:D_6$ (as 18T126) |
$324$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.7 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^3:D_6$ (as 18T119) |
$324$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.8 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
$C_3^3:D_6$ (as 18T119) |
$324$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.9 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
$C_3^3:D_6$ (as 18T119) |
$324$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.10 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.11 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.12 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
$C_3^5:D_6$ (as 18T406) |
$2916$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.13 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.14 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.15 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
$S_3 \times C_6$ (as 18T6) |
$36$ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.16 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.17 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
$C_3^5:D_6$ (as 18T406) |
$2916$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b2.18 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 2)$ |
undefined |
| 3.2.9.30b3.1 |
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^4:(C_4\times S_3)$ (as 18T344) |
$1944$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.2 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.3 |
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.4 |
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.5 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.6 |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.7 |
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.8 |
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^2:C_4\times S_3$ (as 18T95) |
$216$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b3.9 |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{8} + 6 x ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^4:(C_4\times S_3)$ (as 18T344) |
$1944$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 2]$ |
$z^3 + (t + 1),(t + 1) z^2 + (2 t + 1)$ |
undefined |
| 3.2.9.30b4.1 |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
| 3.2.9.30b4.2 |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
$C_3^3:S_3^2$ (as 18T241) |
$972$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
| 3.2.9.30b4.3 |
$( x^{2} + 2 x + 2 )^{9} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
| 3.2.9.30b4.4 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3\times S_3^2$ (as 18T46) |
$108$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
| 3.2.9.30b4.5 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
| 3.2.9.30b4.6 |
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 21$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
| 3.2.9.30b4.7 |
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
| 3.2.9.30b4.8 |
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + \left(6 x + 6\right) ( x^{2} + 2 x + 2 )^{7} + 6 ( x^{2} + 2 x + 2 )^{3} + 12$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z^2 + 2$ |
undefined |
