| Label |
Packet size |
Polynomial |
Galois group |
Galois degree |
$\#\Aut(K/\Q_p)$ |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 3.2.9.32b1.1 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_{18}:C_6$ (as 18T45) |
$108$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.32b1.2 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^2.S_3^2$ (as 18T122) |
$324$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.32b1.3 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ |
$C_{18}:C_6$ (as 18T45) |
$108$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.32b1.4 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.32b1.5 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 ) + 3$ |
$C_{18}:C_6$ (as 18T45) |
$108$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.32b1.6 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 1$ |
undefined |
| 3.2.9.32b2.1 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.32b2.2 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T411) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.32b2.3 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.32b2.4 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:D_6$ (as 18T411) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.32b2.5 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.32b2.6 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2$ |
undefined |
| 3.2.9.32b3.1 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.2 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.3 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.4 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.5 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.6 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.7 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^6:(C_4\times S_3)$ (as 18T602) |
$17496$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.8 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b3.9 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^6:(C_4\times S_3)$ (as 18T602) |
$17496$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + t$ |
undefined |
| 3.2.9.32b4.1 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.2 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.3 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.4 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.5 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.6 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.7 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.8 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b4.9 |
|
$( x^{2} + 2 x + 2 )^{9} + \left(3 x + 3\right) ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^5.D_6$ (as 18T407) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + (t + 1)$ |
undefined |
| 3.2.9.32b5.1 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 3$ |
$C_3^6:(C_4\times S_3)$ (as 18T602) |
$17496$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.2 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.3 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.4 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.5 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.6 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^6:(C_4\times S_3)$ (as 18T602) |
$17496$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.7 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.8 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^6:(C_4\times S_3)$ (as 18T602) |
$17496$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b5.9 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 x ( x^{2} + 2 x + 2 )^{8} + 6 ( x^{2} + 2 x + 2 )^{3} + \left(18 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (t + 1),(t + 1) z + 2 t$ |
undefined |
| 3.2.9.32b6.1 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.32b6.2 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 9 x ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^2.S_3^2$ (as 18T122) |
$324$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.32b6.3 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.32b6.4 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.32b6.5 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 ) + 3$ |
$C_{18}:C_6$ (as 18T45) |
$108$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.32b6.6 |
|
$( x^{2} + 2 x + 2 )^{9} + 3 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 18\right) ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^2.S_3^2$ (as 18T122) |
$324$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 1$ |
undefined |
| 3.2.9.32b7.1 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 2$ |
undefined |
| 3.2.9.32b7.2 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 9 x ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 2$ |
undefined |
| 3.2.9.32b7.3 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 9 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 2$ |
undefined |
| 3.2.9.32b7.4 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + \left(9 x + 9\right) ( x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 2$ |
undefined |
| 3.2.9.32b7.5 |
|
$( x^{2} + 2 x + 2 )^{9} + 6 ( x^{2} + 2 x + 2 )^{8} + 3 ( x^{2} + 2 x + 2 )^{3} + 18 ( x^{2} + 2 x + 2 ) + 3$ |
$C_3^3:D_6$ (as 18T136) |
$324$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[8, 3, 0]$ |
$[1, 1]$ |
$z^3 + (2 t + 2),(2 t + 2) z + 2$ |
undefined |
