| 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 |
| 5.3.5.24a8.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 15 x ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 10 t + 10\right) x^{4} + 50 t + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 4)$ |
undefined |
| 5.3.5.24a8.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 15 x ( x^{3} + 3 x + 3 )^{4} + 25 x^{2} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 10 t + 10\right) x^{4} + 100 t + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 4)$ |
undefined |
| 5.3.5.24a8.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 15 x ( x^{3} + 3 x + 3 )^{4} + 50 x^{2} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + 15 t x^{4} + 75 t^{2} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 4)$ |
undefined |
| 5.3.5.24a8.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 15 x ( x^{3} + 3 x + 3 )^{4} + 75 x^{2} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 15\right) x^{4} + 50 t + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 4)$ |
undefined |
| 5.3.5.24a10.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 15\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t + 15\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 1)$ |
undefined |
| 5.3.5.24a10.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 15\right) ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 10\right) x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 1)$ |
undefined |
| 5.3.5.24a10.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 15\right) ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 10\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 1)$ |
undefined |
| 5.3.5.24a10.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 15\right) ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 10\right) x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 1)$ |
undefined |
| 5.3.5.24a10.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 15\right) ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(15 t^{2} + 5 t + 20\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 3 t + 1)$ |
undefined |
| 5.3.5.24a11.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t + 20\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (3 t^2 + t + 4)$ |
undefined |
| 5.3.5.24a11.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t + 20\right) x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (3 t^2 + t + 4)$ |
undefined |
| 5.3.5.24a11.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(15 t^{2} + 5 t\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (3 t^2 + t + 4)$ |
undefined |
| 5.3.5.24a11.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t + 20\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (3 t^2 + t + 4)$ |
undefined |
| 5.3.5.24a11.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 15\right) x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (3 t^2 + t + 4)$ |
undefined |
| 5.3.5.24a12.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 5 x^{2} ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + 5 t^{2} x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.24a12.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 5 x^{2} ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 15 t + 5\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.24a12.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 5 x^{2} ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t + 15\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.24a12.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 5 x^{2} ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + 5 t^{2} x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.24a12.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + 5 x^{2} ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t + 15\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (t^2 + 4 t + 1)$ |
undefined |
| 5.3.5.24a17.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 15 t + 5\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + t + 1)$ |
undefined |
| 5.3.5.24a17.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 20 t + 5\right) x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + t + 1)$ |
undefined |
| 5.3.5.24a17.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 15 t + 5\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + t + 1)$ |
undefined |
| 5.3.5.24a17.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(15 t^{2} + 15 t\right) x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + t + 1)$ |
undefined |
| 5.3.5.24a17.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(5 x^{2} + 20 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 15 t + 5\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + t + 1)$ |
undefined |
| 5.3.5.24a19.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 5 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 5 t + 5\right) x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t + 3)$ |
undefined |
| 5.3.5.24a19.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 5 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 5 t + 5\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t + 3)$ |
undefined |
| 5.3.5.24a19.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 5 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 15 t + 5\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t + 3)$ |
undefined |
| 5.3.5.24a19.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 5 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 5 t + 20\right) x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t + 3)$ |
undefined |
| 5.3.5.24a19.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 5 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 5 t + 20\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t + 3)$ |
undefined |
| 5.3.5.24a22.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 10 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 10 t + 20\right) x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t)$ |
undefined |
| 5.3.5.24a22.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 10 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 5 t + 15\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t)$ |
undefined |
| 5.3.5.24a22.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 10 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 5 t + 15\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t)$ |
undefined |
| 5.3.5.24a22.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 10 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 5 t + 15\right) x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t)$ |
undefined |
| 5.3.5.24a22.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(10 x^{2} + 10 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 10 t + 20\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + 2 t)$ |
undefined |
| 5.3.5.24a41.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 5 x\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 10 t\right) x^{4} + 100 t + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + 2 t + 2)$ |
undefined |
| 5.3.5.24a41.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 5 x\right) ( x^{3} + 3 x + 3 )^{4} + 50 x + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 10 t\right) x^{4} + 25 t + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + 2 t + 2)$ |
undefined |
| 5.3.5.24a41.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 5 x\right) ( x^{3} + 3 x + 3 )^{4} + 75 x + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 5 t\right) x^{4} + 50 t + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + 2 t + 2)$ |
undefined |
| 5.3.5.24a41.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 5 x\right) ( x^{3} + 3 x + 3 )^{4} + 100 x + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$15$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2]^{15}$ |
$[1,1]^{15}$ |
$[2]^{5}$ |
$[1]^{5}$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 10 t\right) x^{4} + 75 t + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^2 + 2 t + 2)$ |
undefined |
| 5.3.5.24a42.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 10 t + 5\right) x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t + 3)$ |
undefined |
| 5.3.5.24a42.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t^{2} + 10 t + 10\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t + 3)$ |
undefined |
| 5.3.5.24a42.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 5 t + 5\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t + 3)$ |
undefined |
| 5.3.5.24a42.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 5 t + 5\right) x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t + 3)$ |
undefined |
| 5.3.5.24a42.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 10 x + 5\right) ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 10 t + 5\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t + 3)$ |
undefined |
| 5.3.5.24a44.1 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 15 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 5$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(10 t + 5\right) x^{4} + 55$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t)$ |
undefined |
| 5.3.5.24a44.2 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 15 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 30$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 15\right) x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t)$ |
undefined |
| 5.3.5.24a44.3 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 15 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 55$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 15\right) x^{4} + 105$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t)$ |
undefined |
| 5.3.5.24a44.4 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 15 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 80$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(20 t^{2} + 15 t + 20\right) x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t)$ |
undefined |
| 5.3.5.24a44.5 |
$15$ |
$( x^{3} + 3 x + 3 )^{5} + \left(20 x^{2} + 15 x + 20\right) ( x^{3} + 3 x + 3 )^{4} + 105$ |
$5$ |
$3$ |
$5$ |
$24$ |
$C_5\wr C_3$ (as 15T25) |
$3$ |
$1$ |
$[2]$ |
$[1]$ |
$[2, 2, 2]^{3}$ |
$[1,1,1]^{3}$ |
$[2,2]$ |
$[1,1]$ |
$5$ |
$t^{3} + 3 t + 3$ |
$x^{5} + \left(5 t^{2} + 15\right) x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (4 t^2 + t)$ |
undefined |
