| 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 |
| 3.5.3.15a3.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + 6 x ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 3 t^{3} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t + 1)$ |
undefined |
| 3.5.3.15a4.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x + 3\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 3 t^{3} + 6 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t + 2)$ |
undefined |
| 3.5.3.15a5.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + 3 x ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{4} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t + 2)$ |
undefined |
| 3.5.3.15a13.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{3} + 6 x^{2}\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{3} + 3 t^{2} + 3 t\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 2 t^2 + t)$ |
undefined |
| 3.5.3.15a14.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{3} + 6 x^{2} + 6 x\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 2 t^2 + 2 t + 1)$ |
undefined |
| 3.5.3.15a17.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{3} + 3 x^{2} + 3 x + 6\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{3} + 3 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^3 + t + 1)$ |
undefined |
| 3.5.3.15a22.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 6 x^{2} + 3\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + t^3 + t^2 + t + 1)$ |
undefined |
| 3.5.3.15a25.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 3 x^{2}\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{3} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + 2 t^2 + 2 t)$ |
undefined |
| 3.5.3.15a26.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 6 x + 6\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{3} + 3 t^{2}\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + t^2 + t)$ |
undefined |
| 3.5.3.15a27.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 6 x + 3\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{2} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^3 + t^2 + t + 2)$ |
undefined |
| 3.5.3.15a32.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 3 x^{3} + 3\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{4} + 6 t^{3} + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^4 + 2 t^2 + 1)$ |
undefined |
| 3.5.3.15a39.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 3 x^{3} + 3 x^{2} + 6 x\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{3} + 3 t^{2} + 3 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^2 + 1)$ |
undefined |
| 3.5.3.15a43.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 3 x^{2} + 6 x + 3\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 6 t^{2} + 6 t + 3\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 2 t^2 + 2)$ |
undefined |
| 3.5.3.15a46.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 3 x^{2} + 6 x + 3\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{3} + 6 t^{2} + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 3.5.3.15a47.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 3 x^{3} + 3\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{4} + 3 t^{3} + 3 t^{2} + 6 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 2 t^2 + 1)$ |
undefined |
| 3.5.3.15a48.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x + 6\right) ( x^{5} + 2 x + 1 ) + 3$ |
$3$ |
$5$ |
$3$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}]_{2}^{5}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}^{5}$ |
$[\frac{3}{2},\frac{3}{2},\frac{3}{2}]_{2}$ |
$[\frac{1}{2},\frac{1}{2},\frac{1}{2}]_{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 3 t^{3} + 3 t^{2} + 3 t + 6\right) x + 3$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^3 + 2 t^2 + 2 t + 1)$ |
undefined |
| 3.5.3.20a5.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + 6 x ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 6 t + 3\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (t^4 + 2 t)$ |
undefined |
| 3.5.3.20a22.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 3 x^{2} + 6\right) ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{3} + 3\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (t^4 + 2 t^2 + 2 t)$ |
undefined |
| 3.5.3.20a25.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 6 x^{2}\right) ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 3 t^{3} + 3 t^{2} + 3 t\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (t^4 + 2 t^3 + t + 2)$ |
undefined |
| 3.5.3.20a26.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 3 x^{3} + 3 x + 3\right) ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 3 t^{3} + 3 t^{2} + 3 t + 3\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (2 t^3 + 2 t + 1)$ |
undefined |
| 3.5.3.20a39.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(3 x^{4} + 6 x^{3} + 6 x^{2} + 3 x\right) ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t^{2}\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (t^3 + t^2 + t + 2)$ |
undefined |
| 3.5.3.20a43.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 6 x^{2} + 3 x + 6\right) ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{4} + 6 t^{2} + 3 t + 6\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (t^4 + 2 t^3 + t^2 + 2 t + 1)$ |
undefined |
| 3.5.3.20a47.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 6\right) ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(3 t^{4} + 6 t^{3} + 6 t^{2} + 3\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (2 t^4 + t^3 + 2 t + 2)$ |
undefined |
| 3.5.3.20a48.1 |
$15$ |
$( x^{5} + 2 x + 1 )^{3} + \left(6 x^{4} + 6 x^{3} + 6 x + 3\right) ( x^{5} + 2 x + 1 )^{2} + 3$ |
$3$ |
$5$ |
$3$ |
$20$ |
$C_3^4:C_{10}$ (as 15T33) |
$10$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2, 2]^{10}$ |
$[1,1,1,1]^{10}$ |
$[2,2,2]^{2}$ |
$[1,1,1]^{2}$ |
$1$ |
$t^{5} + 2 t + 1$ |
$x^{3} + \left(6 t^{4} + 6 t^{3} + 6 t^{2} + 6 t + 3\right) x^{2} + 3$ |
$[2, 0]$ |
$[2]$ |
$z^2 + (2 t^3 + t + 1)$ |
undefined |
