| 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 |
| 3.21.1.0a1.1 |
$21$ |
$x^{21} + 2 x^{10} + 2 x^{8} + 2 x^{6} + x^{5} + 2 x^{3} + 2 x + 1$ |
$3$ |
$21$ |
$1$ |
$0$ |
$C_{21}$ (as 21T1) |
$21$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{21}$ |
$[\ ]^{21}$ |
$[\ ]$ |
$[\ ]$ |
$21$ |
$t^{21} + 2 t^{10} + 2 t^{8} + 2 t^{6} + t^{5} + 2 t^{3} + 2 t + 1$ |
$x - 3$ |
$[0]$ |
$[\ ]$ |
|
$[1]$ |
| 3.7.3.21a1.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 6 ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$S_3\times C_7$ (as 21T6) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$7$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + 6 x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t)$ |
undefined |
| 3.7.3.21a2.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 3 ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$7$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + 3 x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t)$ |
undefined |
| 3.7.3.21a3.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 6 x ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^2 + 2)$ |
undefined |
| 3.7.3.21a4.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 3 x ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + 3 t x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 1)$ |
undefined |
| 3.7.3.21a5.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 6 x^{2} ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^6.C_{14}$ (as 21T50) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{4} + 6 t^{3} + 3 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 2 t)$ |
undefined |
| 3.7.3.21a6.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{2} + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 3 t^{5} + 3 t^{4} + 6 t^{3} + 6 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^3 + t)$ |
undefined |
| 3.7.3.21a7.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{2} + 3 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{3} + 6 t^{2} + 3 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^3 + t^2 + t + 1)$ |
undefined |
| 3.7.3.21a8.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{2} + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{5} + 6 t^{4} + 3 t^{3} + 3 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^3)$ |
undefined |
| 3.7.3.21a9.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{2} + 6 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{4} + 6 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 2 t^2 + t + 2)$ |
undefined |
| 3.7.3.21a10.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{2} + 3 x + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{5} + 3 t^{4} + 3 t^{3} + 3 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.7.3.21a11.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{3} + 3 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 3 t^{5} + 6 t^{4} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 1)$ |
undefined |
| 3.7.3.21a12.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{3} + 6 x^{2} + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 3 t^{4} + 6 t^{3} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + 2 t^4 + 2 t^3 + 2 t^2)$ |
undefined |
| 3.7.3.21a13.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{3} + 6 x^{2} + 6 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{5} + 3 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^3 + t^2 + 2 t + 2)$ |
undefined |
| 3.7.3.21a14.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{3} + 3 x^{2} + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{5} + 6 t^{4} + 3 t^{3} + 3 t^{2} + 3 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^4 + t^3 + 2 t^2)$ |
undefined |
| 3.7.3.21a15.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{3} + 3 x^{2} + 6 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^6.C_{14}$ (as 21T50) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 3 t^{5} + 6 t^{3} + 6 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^4 + t^3 + t^2 + 2)$ |
undefined |
| 3.7.3.21a16.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{3} + 3 x^{2} + 3 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{4} + 3 t^{3} + 3 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^3 + t + 1)$ |
undefined |
| 3.7.3.21a17.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{3} + 6 x^{2}\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{5} + 6 t^{4} + 6 t^{3} + 3 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + 2 t^3 + t^2 + 2 t)$ |
undefined |
| 3.7.3.21a18.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{3} + 6 x^{2} + 6 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{5} + 3 t^{3} + 6 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^4 + 2 t^3 + t + 2)$ |
undefined |
| 3.7.3.21a19.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{3} + 3 x^{2} + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{5} + 3 t^{4} + 3 t^{3} + 3 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^4 + t^3 + t^2)$ |
undefined |
| 3.7.3.21a20.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{3} + 3 x^{2} + 6 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 3 t^{5} + 3 t^{4} + 6 t^{3} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + t + 2)$ |
undefined |
| 3.7.3.21a21.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 6 x^{4} ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 3 t^{5} + 3 t^{3} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^3)$ |
undefined |
| 3.7.3.21a22.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 6 x^{2} + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{5} + 3 t^{4} + 3 t^{3} + 6 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + 2 t^5 + t^3)$ |
undefined |
| 3.7.3.21a23.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 3 x^{2} + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + 2 t^5 + 2 t)$ |
undefined |
| 3.7.3.21a24.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 3 x^{2} + 6 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{3} + 6 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^2 + t + 2)$ |
undefined |
| 3.7.3.21a25.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 3 x^{2} + 6 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{5} + 6 t^{3} + 3 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^5 + 2 t^2 + 2)$ |
undefined |
| 3.7.3.21a26.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 3 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 3 t^{4} + 3 t^{3} + 3 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^5 + 2 t^4 + 2 t^3 + 2 t + 1)$ |
undefined |
| 3.7.3.21a27.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 6 x^{2}\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{5} + 6 t^{4} + 3 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + 2 t^2 + 2 t)$ |
undefined |
| 3.7.3.21a28.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 6 x^{2} + 6 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^6.C_{14}$ (as 21T50) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{4} + 6 t^{3} + 6 t^{2} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + 2 t^4 + t^3 + t^2 + 2 t + 2)$ |
undefined |
| 3.7.3.21a29.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 3 x^{2} + 3 x + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^6.C_{14}$ (as 21T50) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{5} + 6 t^{4} + 6 t^{3} + 3 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + 2 t^5 + 2 t^4 + 2 t + 1)$ |
undefined |
| 3.7.3.21a30.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 3 x^{3} + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{3} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + 2 t^5 + t^4 + 2 t^3 + t^2 + t)$ |
undefined |
| 3.7.3.21a31.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 3 x^{3} + 6 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{3} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^5 + t^4 + 2 t^3 + 2)$ |
undefined |
| 3.7.3.21a32.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 3 x^{3} + 6 x^{2} + 6 x + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 3 t^{3} + 6 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + 2 t^5 + t^4 + t^3 + 2)$ |
undefined |
| 3.7.3.21a33.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{4} + 3 x^{3} + 3 x^{2} + 6 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{5} + 3 t^{4} + 3 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^5 + t^4 + 2)$ |
undefined |
| 3.7.3.21a34.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 3 x^{4} ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{5} + 3 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^3)$ |
undefined |
| 3.7.3.21a35.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 6 x^{2} + 3 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{5} + 3 t^{3} + 6 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^5 + t^2 + t + 1)$ |
undefined |
| 3.7.3.21a36.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 3 x^{2}\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{4} + 3 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^3 + t)$ |
undefined |
| 3.7.3.21a37.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^6.C_{14}$ (as 21T50) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{3} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^5 + 2 t^4 + t^3 + 2 t^2 + 2 t)$ |
undefined |
| 3.7.3.21a38.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 6 x^{2} + 6 x + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{4} + 6 t^{3} + 3 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^5 + 2 t^4 + t^2 + 2)$ |
undefined |
| 3.7.3.21a39.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 6 x^{2} + 3 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t^{2} + 3 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + 2 t^4 + 2 t + 1)$ |
undefined |
| 3.7.3.21a40.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 6 x^{2} + 3 x + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 6 t^{4} + 3 t^{3} + 6 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^5 + 2 t^4 + 1)$ |
undefined |
| 3.7.3.21a41.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 6 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{5} + 6 t^{4} + 6 t^{3} + 6 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^5 + 2 t^4 + 2 t^3 + t^2 + 2)$ |
undefined |
| 3.7.3.21a42.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 3 x + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{5} + 6 t^{4} + 3 t^{3} + 6 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^5 + 2 t^4 + 2 t^3 + 2 t + 1)$ |
undefined |
| 3.7.3.21a43.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^6.C_{14}$ (as 21T50) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{5} + 3 t^{4} + 3 t^{3} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + t^3 + 2 t^2 + 1)$ |
undefined |
| 3.7.3.21a44.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 3 x^{3} + 6 x^{2} + 3 x\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 6 t^{5} + 6 t^{4} + 6 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^4 + 2 t^2 + 2 t + 1)$ |
undefined |
| 3.7.3.21a45.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 3 x^{3} + 6 x^{2} + 3 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{6} + 3 t^{5} + 6 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^5 + t^4 + 2 t^2 + t + 1)$ |
undefined |
| 3.7.3.21a46.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x^{2} + 6 x + 3\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{5} + 3 t^{4} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + t^5 + t^4 + 2 t^3 + 2)$ |
undefined |
| 3.7.3.21a47.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + 6 x^{5} ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{5} + 6 t^{3} + 6 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^6 + 2 t^4)$ |
undefined |
| 3.7.3.21a48.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{5} + 3 x + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
$C_3^7:C_{14}$ (as 21T80) |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(6 t^{5} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^2 + t + 1)$ |
undefined |
| 3.7.3.21a49.1 |
$21$ |
$( x^{7} + 2 x^{2} + 1 )^{3} + \left(6 x^{5} + 6 x^{3} + 6\right) ( x^{7} + 2 x^{2} + 1 ) + 3$ |
$3$ |
$7$ |
$3$ |
$21$ |
not computed |
not computed |
not computed |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{7} + 2 t^{2} + 1$ |
$x^{3} + \left(3 t^{6} + 3 t^{5} + 6 t^{4} + 6 t^{3} + 6 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + 2 t^2 + t)$ |
undefined |
