| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 3.18.1.0a1.1 |
$18$ |
$x^{18} + x^{10} + 2 x^{8} + 2 x^{6} + x^{5} + 2 x^{4} + 2 x^{2} + 2$ |
$3$ |
$18$ |
$1$ |
$0$ |
$C_{18}$ (as 18T1) |
$18$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{18}$ |
$[\ ]^{18}$ |
$[\ ]$ |
$[\ ]$ |
$18$ |
$t^{18} + t^{10} + 2 t^{8} + 2 t^{6} + t^{5} + 2 t^{4} + 2 t^{2} + 2$ |
$x - 3$ |
$[0]$ |
$[\ ]$ |
|
$[1]$ |
| 3.9.2.9a1.1 |
$18$ |
$( x^{9} + 2 x^{3} + 2 x^{2} + x + 1 )^{2} + 3 x$ |
$3$ |
$9$ |
$2$ |
$9$ |
$C_{18}$ (as 18T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$18$ |
$t^{9} + 2 t^{3} + 2 t^{2} + t + 1$ |
$x^{2} + 3 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 3.9.2.9a1.2 |
$18$ |
$( x^{9} + 2 x^{3} + 2 x^{2} + x + 1 )^{2} + 3$ |
$3$ |
$9$ |
$2$ |
$9$ |
$C_{18}$ (as 18T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$18$ |
$t^{9} + 2 t^{3} + 2 t^{2} + t + 1$ |
$x^{2} + 3$ |
$[0]$ |
$[1]$ |
$z + 2$ |
$[1]$ |
| 3.6.3.18a1.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + 6 x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 2 t + 2)$ |
undefined |
| 3.6.3.18a2.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 3 ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$6$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + 3 x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + t + 1)$ |
undefined |
| 3.6.3.18a3.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + 6 t^{3} x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^2 + 2 t)$ |
undefined |
| 3.6.3.18a4.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 3 x ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + 3 t x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^2 + t)$ |
undefined |
| 3.6.3.18a5.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x^{2} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + 6 t^{2} x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^3 + 2 t^2)$ |
undefined |
| 3.6.3.18a6.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{2} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{4} + 6 t^{3} + 3 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^2 + 1)$ |
undefined |
| 3.6.3.18a7.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 3 t^{3} + 3 t^{2} + 3 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 1)$ |
undefined |
| 3.6.3.18a8.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 6 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$\He_3:S_3^2$ (as 18T238) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 6 t^{4} + 6 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + t^2 + 2)$ |
undefined |
| 3.6.3.18a9.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 3 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{3} + 3 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^3 + 2 t^2 + t + 1)$ |
undefined |
| 3.6.3.18a10.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{3} + 3 x^{2} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^4:C_{12}$ (as 18T240) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{3} + 3 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^3 + 2 t^2)$ |
undefined |
| 3.6.3.18a11.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 3 t^{4} + 6 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^3 + 2 t^2 + 2 t + 2)$ |
undefined |
| 3.6.3.18a12.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 6 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{3} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t^2 + 1)$ |
undefined |
| 3.6.3.18a13.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 6 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^4:C_{12}$ (as 18T240) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 3 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a14.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 3 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a15.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{3} + 3 x^{2} + 3 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 3 t^{3} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^3 + t^2 + t)$ |
undefined |
| 3.6.3.18a16.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x^{4} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 6 t^{4} + 3 t^{3} + 6 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + t^3 + 2 t^2 + 2 t)$ |
undefined |
| 3.6.3.18a17.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 6 t^{4} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a18.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 6 x^{3} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{4} + 6 t^{3} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^3 + 1)$ |
undefined |
| 3.6.3.18a19.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 6 x^{3} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{3} + 3 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + t^3 + 2 t^2 + t)$ |
undefined |
| 3.6.3.18a20.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 3 x^{3} + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 3 t^{3} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^2 + t + 2)$ |
undefined |
| 3.6.3.18a21.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 3 x^{3} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 3 t^{4} + 3 t^{3} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + 2 t^2 + 2 t + 2)$ |
undefined |
| 3.6.3.18a22.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{4} + 3 x^{3} + 3 x^{2} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 3 t^{4} + 6 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^3 + t^2 + 2)$ |
undefined |
| 3.6.3.18a23.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 3 x^{4} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^5:(C_2\times C_6)$ (as 18T408) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^4 + 2 t^3 + t^2 + t)$ |
undefined |
| 3.6.3.18a24.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 6 t^{4} + 6 t^{3} + 3 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^4 + t^3 + t^2 + 2)$ |
undefined |
| 3.6.3.18a25.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 6 t^{4} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^3 + 2 t + 2)$ |
undefined |
| 3.6.3.18a26.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{3} + 6 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + 2 t^3 + 2 t^2 + 2 t)$ |
undefined |
| 3.6.3.18a27.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 6 t^{3} + 6 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^3 + t)$ |
undefined |
| 3.6.3.18a28.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 3 t^{4} + 3 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2)$ |
undefined |
| 3.6.3.18a29.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{2} + 3 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + t^2 + t + 2)$ |
undefined |
| 3.6.3.18a30.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 6 t^{3}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + 2 t^2 + 2)$ |
undefined |
| 3.6.3.18a31.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^3 + 2 t)$ |
undefined |
| 3.6.3.18a32.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^3)$ |
undefined |
| 3.6.3.18a33.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 3 t^{3} + 3 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^3 + 2)$ |
undefined |
| 3.6.3.18a34.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{4} + 6 t^{3} + 6 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^3 + 2 t + 1)$ |
undefined |
| 3.6.3.18a35.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 3 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + 2 t^2 + t + 1)$ |
undefined |
| 3.6.3.18a36.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 3 t^{4} + 6 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 2 t)$ |
undefined |
| 3.6.3.18a37.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 6 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 6 t^{4} + 3 t^{3} + 6 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + 2 t^2 + t + 1)$ |
undefined |
| 3.6.3.18a38.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 6 x^{2} + 3 x + 3\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t + 2)$ |
undefined |
| 3.6.3.18a39.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2\wr C_3:C_2^2$ (as 18T532) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{5} + 6 t^{4} + 3 t^{3} + 3 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a40.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x^{2} + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 3 t^{3} + 3 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + t)$ |
undefined |
| 3.6.3.18a41.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + 6 x^{5} ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 3 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + 2 t^3 + t^2 + t + 1)$ |
undefined |
| 3.6.3.18a42.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{2} + 3 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^4:C_{12}$ (as 18T240) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 6 t^{4} + 6 t^{3} + 3 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.6.3.18a43.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 3 x^{2} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{4} + 6 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + 2 t^3 + t^2 + 2 t)$ |
undefined |
| 3.6.3.18a44.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 6 x\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^6.C_{12}$ (as 18T530) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{3} + 6 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + t^2 + 2 t)$ |
undefined |
| 3.6.3.18a45.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 6 x^{2}\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 6 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^2)$ |
undefined |
| 3.6.3.18a46.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 6 x^{2} + 3 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t^{2} + 3 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^3 + 2 t^2 + 2)$ |
undefined |
| 3.6.3.18a47.1 |
$18$ |
$( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 )^{3} + \left(6 x^{5} + 6 x^{3} + 3 x^{2} + 6 x + 6\right) ( x^{6} + 2 x^{4} + x^{2} + 2 x + 2 ) + 3$ |
$3$ |
$6$ |
$3$ |
$18$ |
$C_3^2:C_{12}$ (as 18T44) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$3$ |
$t^{6} + 2 t^{4} + t^{2} + 2 t + 2$ |
$x^{3} + \left(6 t^{5} + 6 t^{3} + 3 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^3 + 2 t^2 + t + 2)$ |
undefined |
