| 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 |
| 5.20.1.0a1.1 |
$20$ |
$x^{20} + 3 x^{12} + 4 x^{10} + 3 x^{9} + 2 x^{8} + 3 x^{6} + 4 x^{3} + x + 2$ |
$5$ |
$20$ |
$1$ |
$0$ |
$C_{20}$ (as 20T1) |
$20$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{20}$ |
$[\ ]^{20}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{20} + 3 t^{12} + 4 t^{10} + 3 t^{9} + 2 t^{8} + 3 t^{6} + 4 t^{3} + t + 2$ |
$x - 5$ |
$[0]$ |
$[\ ]$ |
|
$[1]$ |
| 5.10.2.10a1.1 |
$20$ |
$( x^{10} + 3 x^{5} + 3 x^{4} + 2 x^{3} + 4 x^{2} + x + 2 )^{2} + 5 x$ |
$5$ |
$10$ |
$2$ |
$10$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{10} + 3 t^{5} + 3 t^{4} + 2 t^{3} + 4 t^{2} + t + 2$ |
$x^{2} + 5 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 5.10.2.10a1.2 |
$20$ |
$( x^{10} + 3 x^{5} + 3 x^{4} + 2 x^{3} + 4 x^{2} + x + 2 )^{2} + 5$ |
$5$ |
$10$ |
$2$ |
$10$ |
$C_2\times C_{10}$ (as 20T3) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{10} + 3 t^{5} + 3 t^{4} + 2 t^{3} + 4 t^{2} + t + 2$ |
$x^{2} + 5$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 5.5.4.15a1.1 |
$20$ |
$( x^{5} + 4 x + 3 )^{4} + 5 x^{3}$ |
$5$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + 4 t + 3$ |
$x^{4} + 5 t^{3}$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + z + 4$ |
undefined |
| 5.5.4.15a1.2 |
$20$ |
$( x^{5} + 4 x + 3 )^{4} + 5 x^{2}$ |
$5$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + 4 t + 3$ |
$x^{4} + 5 t^{2}$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + z + 4$ |
undefined |
| 5.5.4.15a1.3 |
$20$ |
$( x^{5} + 4 x + 3 )^{4} + 5 x$ |
$5$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + 4 t + 3$ |
$x^{4} + 5 t$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + z + 4$ |
undefined |
| 5.5.4.15a1.4 |
$20$ |
$( x^{5} + 4 x + 3 )^{4} + 5$ |
$5$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[\ ]$ |
$[\ ]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + 4 t + 3$ |
$x^{4} + 5$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + z + 4$ |
$[1]$ |
| 5.4.5.20a1.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 20 x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + 3 t + 4)$ |
undefined |
| 5.4.5.20a2.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 15 ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_4\times F_5$ (as 20T20) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 15 x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + t + 3)$ |
undefined |
| 5.4.5.20a3.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 10 ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 10 x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 4 t + 2)$ |
undefined |
| 5.4.5.20a4.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 5 ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$4$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 5 x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 2 t + 1)$ |
undefined |
| 5.4.5.20a5.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 x ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5^4:C_{16}$ (as 20T392) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 20 t x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^2 + 3 t + 2)$ |
undefined |
| 5.4.5.20a6.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{3} + 20 t^{2} + 10 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + 2 t^2 + t + 1)$ |
undefined |
| 5.4.5.20a7.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 15 x ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 15 t x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 4)$ |
undefined |
| 5.4.5.20a8.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 10 x ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 10 t^{2} + 5 t\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 4 t + 1)$ |
undefined |
| 5.4.5.20a9.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5:F_5^2$ (as 20T232) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 10 t^{2} + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + t^2 + 2 t)$ |
undefined |
| 5.4.5.20a10.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x + 15\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + t^2 + 4)$ |
undefined |
| 5.4.5.20a11.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x + 5\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5^4:C_{16}$ (as 20T392) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 10 t^{2} + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + t^2 + t + 2)$ |
undefined |
| 5.4.5.20a12.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 5 x ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5^4:C_{16}$ (as 20T392) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(15 t^{3} + 15 t^{2} + 5 t\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 3)$ |
undefined |
| 5.4.5.20a13.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(5 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 5 t^{2} + 15 t + 10\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 3 t^2 + t)$ |
undefined |
| 5.4.5.20a14.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 x^{2} ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 10 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 3 t^2 + 2 t)$ |
undefined |
| 5.4.5.20a15.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{2} + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{2} + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 3 t^2 + 4)$ |
undefined |
| 5.4.5.20a16.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{2} + 20 x\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 10 t^{2} + 10 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 2)$ |
undefined |
| 5.4.5.20a17.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{2} + 20 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{2} + 20 t + 10\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + 4 t + 4)$ |
undefined |
| 5.4.5.20a18.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{2} + 15 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 20 t^{2} + 10\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 2 t^2 + t + 3)$ |
undefined |
| 5.4.5.20a19.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{2} + 15 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{2} + 10 t + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + 2 t^2 + 2 t + 1)$ |
undefined |
| 5.4.5.20a20.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{2} + 10 x + 5\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(15 t^{3} + 10 t + 10\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + 4 t^2 + 3 t + 2)$ |
undefined |
| 5.4.5.20a21.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 15 x^{2} ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{3} + 20 t + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + t^2 + 4 t)$ |
undefined |
| 5.4.5.20a22.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(15 x^{2} + 5\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5:F_5^2$ (as 20T232) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 5 t^{2} + 10 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + t + 1)$ |
undefined |
| 5.4.5.20a23.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(15 x^{2} + 20 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 20 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 3 t^2 + t + 4)$ |
undefined |
| 5.4.5.20a24.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(15 x^{2} + 15 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{2} + 5 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 4 t + 1)$ |
undefined |
| 5.4.5.20a25.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(15 x^{2} + 5 x + 5\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5^4:C_{16}$ (as 20T392) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(15 t^{2} + 5 t + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^2 + 3 t + 4)$ |
undefined |
| 5.4.5.20a26.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x^{2} + 20 x + 15\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 15 t^{2} + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + t^2)$ |
undefined |
| 5.4.5.20a27.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x^{2} + 20 x + 5\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 15 t^{2} + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + t^2 + t + 3)$ |
undefined |
| 5.4.5.20a28.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x^{2} + 15 x\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 10 t^{2} + 10 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 3 t^2 + 2 t + 4)$ |
undefined |
| 5.4.5.20a29.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x^{2} + 15 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 10 t^{2} + 10 t\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + 3 t^2 + t + 1)$ |
undefined |
| 5.4.5.20a30.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x^{2} + 10 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$F_5^2$ (as 20T102) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(15 t^{3} + 5 t^{2} + 5 t + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + 3 t$ |
undefined |
| 5.4.5.20a31.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x^{2} + 5 x\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{3} + 15 t^{2} + 10 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^3 + 2 t^2 + 3 t + 3)$ |
undefined |
| 5.4.5.20a32.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(10 x^{2} + 5 x + 15\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{2} + 5 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (4 t^3 + 2 t^2 + 4 t + 1)$ |
undefined |
| 5.4.5.20a33.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 5 x^{2} ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(15 t^{3} + 10 t^{2} + 15 t + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + 2 t^2 + 3 t)$ |
undefined |
| 5.4.5.20a34.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(5 x^{2} + 15 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 15 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + t^2 + 2 t + 3)$ |
undefined |
| 5.4.5.20a35.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(5 x^{2} + 15 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5^4:C_{16}$ (as 20T392) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(10 t^{3} + 20 t^{2} + 5 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 3 t + 1)$ |
undefined |
| 5.4.5.20a36.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(5 x^{2} + 10 x\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5^4:C_{16}$ (as 20T392) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 20 t^{2} + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + 3 t^2 + 2 t + 1)$ |
undefined |
| 5.4.5.20a37.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(5 x^{2} + 10 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 20 t^{2} + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 3 t^2)$ |
undefined |
| 5.4.5.20a38.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(5 x^{2} + 10 x + 10\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{2} + 15 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^2 + t + 3)$ |
undefined |
| 5.4.5.20a39.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(5 x^{2} + 5 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{2} + 5 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 3 t + 2)$ |
undefined |
| 5.4.5.20a40.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 x^{3} ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
$C_5^4:C_{16}$ (as 20T392) |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 20 t^{2} + 15 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (3 t^3 + 4 t^2 + 2 t + 1)$ |
undefined |
| 5.4.5.20a41.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{3} + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(5 t^{3} + 20 t^{2} + 15 t + 15\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 4 t^2)$ |
undefined |
| 5.4.5.20a42.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{3} + 20 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{3} + 5 t^{2} + 20 t + 5\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + t^2 + 3 t + 2)$ |
undefined |
| 5.4.5.20a43.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + \left(20 x^{3} + 15 x + 20\right) ( x^{4} + 4 x^{2} + 4 x + 2 ) + 5$ |
$5$ |
$4$ |
$5$ |
$20$ |
not computed |
not computed |
not computed |
$[\frac{5}{4}]$ |
$[\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + \left(20 t^{3} + 15 t + 20\right) x + 5$ |
$[1, 0]$ |
$[1]$ |
$z + (2 t^3 + 3 t^2 + t + 4)$ |
undefined |
