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 |
| 3.6.3.18a1.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 2 t + 2)$ |
undefined |
| 3.6.3.18a2.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 3 ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$6$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + t + 1)$ |
undefined |
| 3.6.3.18a3.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^2 + 2 t)$ |
undefined |
| 3.6.3.18a4.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 3 x ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^2 + t)$ |
undefined |
| 3.6.3.18a5.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x^{2} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^3 + 2 t^2)$ |
undefined |
| 3.6.3.18a6.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{2} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^2 + 1)$ |
undefined |
| 3.6.3.18a7.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 1)$ |
undefined |
| 3.6.3.18a8.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 6 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$\He_3:S_3^2$ (as 18T238) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + t^2 + 2)$ |
undefined |
| 3.6.3.18a9.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 3 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^3 + 2 t^2 + t + 1)$ |
undefined |
| 3.6.3.18a10.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 3 x^{2} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^4:C_{12}$ (as 18T240) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^3 + 2 t^2)$ |
undefined |
| 3.6.3.18a11.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^3 + 2 t^2 + 2 t + 2)$ |
undefined |
| 3.6.3.18a12.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 6 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + 1)$ |
undefined |
| 3.6.3.18a13.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 6 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^4:C_{12}$ (as 18T240) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a14.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 3 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a15.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 3 x^{2} + 3 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^3 + t^2 + t)$ |
undefined |
| 3.6.3.18a16.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x^{4} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + t^3 + 2 t^2 + 2 t)$ |
undefined |
| 3.6.3.18a17.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a18.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 6 x^{3} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^3 + 1)$ |
undefined |
| 3.6.3.18a19.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 6 x^{3} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + t^3 + 2 t^2 + t)$ |
undefined |
| 3.6.3.18a20.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 3 x^{3} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^2 + t + 2)$ |
undefined |
| 3.6.3.18a21.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 3 x^{3} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + 2 t^2 + 2 t + 2)$ |
undefined |
| 3.6.3.18a22.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 3 x^{3} + 3 x^{2} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^3 + t^2 + 2)$ |
undefined |
| 3.6.3.18a23.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 3 x^{4} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
$2916$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^4 + 2 t^3 + t^2 + t)$ |
undefined |
| 3.6.3.18a24.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^4 + t^3 + t^2 + 2)$ |
undefined |
| 3.6.3.18a25.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^3 + 2 t + 2)$ |
undefined |
| 3.6.3.18a26.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + 2 t^3 + 2 t^2 + 2 t)$ |
undefined |
| 3.6.3.18a27.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^3 + t)$ |
undefined |
| 3.6.3.18a28.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2)$ |
undefined |
| 3.6.3.18a29.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{2} + 3 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + t^2 + t + 2)$ |
undefined |
| 3.6.3.18a30.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + 2 t^2 + 2)$ |
undefined |
| 3.6.3.18a31.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^3 + 2 t)$ |
undefined |
| 3.6.3.18a32.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^3)$ |
undefined |
| 3.6.3.18a33.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^3 + 2)$ |
undefined |
| 3.6.3.18a34.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^3 + 2 t + 1)$ |
undefined |
| 3.6.3.18a35.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + 2 t^2 + t + 1)$ |
undefined |
| 3.6.3.18a36.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 2 t)$ |
undefined |
| 3.6.3.18a37.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 6 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + 2 t^2 + t + 1)$ |
undefined |
| 3.6.3.18a38.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 6 x^{2} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t + 2)$ |
undefined |
| 3.6.3.18a39.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a40.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + t)$ |
undefined |
| 3.6.3.18a41.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x^{5} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + 2 t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.18a42.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^4:C_{12}$ (as 18T240) |
$972$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a43.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 3 x^{2} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + 2 t^3 + t^2 + 2 t)$ |
undefined |
| 3.6.3.18a44.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 6 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + t^2 + 2 t)$ |
undefined |
| 3.6.3.18a45.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 6 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^2)$ |
undefined |
| 3.6.3.18a46.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 6 x^{2} + 3 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^3 + 2 t^2 + 2)$ |
undefined |
| 3.6.3.18a47.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 3 x^{2} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^2:C_{12}$ (as 18T44) |
$108$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^3 + 2 t^2 + t + 2)$ |
undefined |
| 3.6.3.18a48.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 3 x^{2} + 3 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + 2)$ |
undefined |
| 3.6.3.18a49.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 3 x^{3} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^4 + t^3)$ |
undefined |
| 3.6.3.18a50.1 |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 3 x^{3} + 6 x^{2} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$C_3^6.C_{12}$ (as 18T530) |
$8748$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^2)$ |
undefined |
