| 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 |
| 2.20.1.0a1.1 |
$20$ |
$x^{20} + x^{10} + x^{9} + x^{7} + x^{6} + x^{5} + x^{4} + x + 1$ |
$2$ |
$20$ |
$1$ |
$0$ |
$C_{20}$ (as 20T1) |
$20$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{20}$ |
$[\ ]^{20}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{20} + t^{10} + t^{9} + t^{7} + t^{6} + t^{5} + t^{4} + t + 1$ |
$x - 2$ |
$[0]$ |
$[\ ]$ |
|
$[1]$ |
| 2.10.2.20a1.2 |
$20$ |
$( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 2 ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 4 x^{5} + 2$ |
$2$ |
$10$ |
$2$ |
$20$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{10} + t^{6} + t^{5} + t^{3} + t^{2} + t + 1$ |
$x^{2} + 2 x + 4 t^{5} + 2$ |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^2 + 1)$ |
$[1, 4]$ |
| 2.10.2.30a1.2 |
$20$ |
$( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 8 x^{5} + 2$ |
$2$ |
$10$ |
$2$ |
$30$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{10} + t^{6} + t^{5} + t^{3} + t^{2} + t + 1$ |
$x^{2} + 8 t^{5} + 2$ |
$[2, 0]$ |
$[1]$ |
$z + (t^8 + t^4 + 1)$ |
$[1, 3]$ |
| 2.10.2.30a1.114 |
$20$ |
$( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + 4 ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 8 x^{5} + 2$ |
$2$ |
$10$ |
$2$ |
$30$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{10} + t^{6} + t^{5} + t^{3} + t^{2} + t + 1$ |
$x^{2} + 4 x + 8 t^{5} + 2$ |
$[2, 0]$ |
$[1]$ |
$z + (t^8 + t^4 + 1)$ |
$[1, 3]$ |
| 2.5.4.55a1.6625 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{2} + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6634 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 8 ( x^{5} + x^{2} + 1 )^{3} + 4 ( x^{5} + x^{2} + 1 )^{2} + 18$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 8 x^{3} + 4 x^{2} + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6841 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{2} + 10$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{2} + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6842 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{2} + 26$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{2} + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6849 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 8 ( x^{5} + x^{2} + 1 )^{3} + 4 ( x^{5} + x^{2} + 1 )^{2} + 10$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6850 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 8 ( x^{5} + x^{2} + 1 )^{3} + 4 ( x^{5} + x^{2} + 1 )^{2} + 26$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 8 x^{3} + 4 x^{2} + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 3.20.1.0a1.1 |
$20$ |
$x^{20} + 2 x^{13} + x^{11} + x^{10} + x^{9} + x^{8} + 2 x^{5} + 2 x^{4} + 2 x^{3} + x + 2$ |
$3$ |
$20$ |
$1$ |
$0$ |
$C_{20}$ (as 20T1) |
$20$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{20}$ |
$[\ ]^{20}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{20} + 2 t^{13} + t^{11} + t^{10} + t^{9} + t^{8} + 2 t^{5} + 2 t^{4} + 2 t^{3} + t + 2$ |
$x - 3$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 3.10.2.10a1.1 |
$20$ |
$( x^{10} + 2 x^{6} + 2 x^{5} + 2 x^{4} + x + 2 )^{2} + 3 x$ |
$3$ |
$10$ |
$2$ |
$10$ |
$C_{20}$ (as 20T1) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$[\ ]_{2}^{10}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{10} + 2 t^{6} + 2 t^{5} + 2 t^{4} + t + 2$ |
$x^{2} + 3 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 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 |
| 5.5.4.15a1.1 |
$20$ |
$( x^{5} + 4 x + 3 )^{4} + 5 x^{3}$ |
$5$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (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 |
$20$ |
$t^{5} + 4 t + 3$ |
$x^{4} + 5$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + z + 4$ |
$[1]$ |
| 5.4.5.32a4.1 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 ( x^{4} + 4 x^{2} + 4 x + 2 )^{4} + 5$ |
$5$ |
$4$ |
$5$ |
$32$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 20 x^{4} + 5$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^3 + 4 t^2 + 4 t + 3)$ |
undefined |
| 5.4.5.32a4.2 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 ( x^{4} + 4 x^{2} + 4 x + 2 )^{4} + 30$ |
$5$ |
$4$ |
$5$ |
$32$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 20 x^{4} + 30$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^3 + 4 t^2 + 4 t + 3)$ |
undefined |
| 5.4.5.32a4.4 |
$20$ |
$( x^{4} + 4 x^{2} + 4 x + 2 )^{5} + 20 ( x^{4} + 4 x^{2} + 4 x + 2 )^{4} + 80$ |
$5$ |
$4$ |
$5$ |
$32$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{4} + 4 t^{2} + 4 t + 2$ |
$x^{5} + 20 x^{4} + 80$ |
$[4, 0]$ |
$[1]$ |
$z^4 + (2 t^3 + 4 t^2 + 4 t + 3)$ |
undefined |
| 5.2.10.34a6.1 |
$20$ |
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 20\right) ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x$ |
$5$ |
$2$ |
$10$ |
$34$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{2} + 4 t + 2$ |
$x^{10} + \left(5 t + 20\right) x^{8} + 5 t$ |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + (4 t + 2)$ |
undefined |
| 5.2.10.34a6.5 |
$20$ |
$( x^{2} + 4 x + 2 )^{10} + \left(5 x + 20\right) ( x^{2} + 4 x + 2 )^{8} + \left(20 x + 15\right) ( x^{2} + 4 x + 2 )^{2} + \left(5 x + 10\right) ( x^{2} + 4 x + 2 ) + 5 x + 100$ |
$5$ |
$2$ |
$10$ |
$34$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t^{2} + 4 t + 2$ |
$x^{10} + \left(5 t + 20\right) x^{8} + 5 t + 100$ |
$[8, 0]$ |
$[1, 1]$ |
$z^5 + 2,2 z^4 + (4 t + 2)$ |
undefined |
| 5.1.20.35a1.3 |
$20$ |
$x^{20} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t + 3$ |
$x^{20} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 25]$ |
| 5.1.20.35a1.169 |
$20$ |
$x^{20} + 15 x^{16} + 85$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t + 3$ |
$x^{20} + 15 x^{16} + 85$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.35a1.170 |
$20$ |
$x^{20} + 15 x^{16} + 110$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t + 3$ |
$x^{20} + 15 x^{16} + 110$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.35a1.331 |
$20$ |
$x^{20} + 10 x^{16} + 15$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t + 3$ |
$x^{20} + 10 x^{16} + 15$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.35a1.332 |
$20$ |
$x^{20} + 10 x^{16} + 40$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t + 3$ |
$x^{20} + 10 x^{16} + 40$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.35a1.496 |
$20$ |
$x^{20} + 5 x^{16} + 20$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t + 3$ |
$x^{20} + 5 x^{16} + 20$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 5.1.20.35a1.500 |
$20$ |
$x^{20} + 5 x^{16} + 120$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$20$ |
$t + 3$ |
$x^{20} + 5 x^{16} + 120$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
undefined |
| 7.20.1.0a1.1 |
$20$ |
$x^{20} + x^{12} + 6 x^{11} + 2 x^{10} + 5 x^{9} + 2 x^{8} + 3 x^{7} + x^{6} + 3 x^{5} + 3 x^{3} + x + 3$ |
$7$ |
$20$ |
$1$ |
$0$ |
$C_{20}$ (as 20T1) |
$20$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{20}$ |
$[\ ]^{20}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{20} + t^{12} + 6 t^{11} + 2 t^{10} + 5 t^{9} + 2 t^{8} + 3 t^{7} + t^{6} + 3 t^{5} + 3 t^{3} + t + 3$ |
$x - 7$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 7.10.2.10a1.1 |
$20$ |
$( x^{10} + x^{6} + x^{5} + 4 x^{4} + x^{3} + 2 x^{2} + 3 x + 3 )^{2} + 7 x$ |
$7$ |
$10$ |
$2$ |
$10$ |
$C_{20}$ (as 20T1) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$[\ ]_{2}^{10}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{10} + t^{6} + t^{5} + 4 t^{4} + t^{3} + 2 t^{2} + 3 t + 3$ |
$x^{2} + 7 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 11.20.1.0a1.1 |
$20$ |
$x^{20} + x^{12} + 10 x^{11} + 9 x^{10} + x^{9} + 5 x^{8} + 7 x^{7} + 2 x^{6} + 4 x^{5} + 5 x^{4} + 5 x^{3} + 6 x^{2} + 5 x + 2$ |
$11$ |
$20$ |
$1$ |
$0$ |
$C_{20}$ (as 20T1) |
$20$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{20}$ |
$[\ ]^{20}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{20} + t^{12} + 10 t^{11} + 9 t^{10} + t^{9} + 5 t^{8} + 7 t^{7} + 2 t^{6} + 4 t^{5} + 5 t^{4} + 5 t^{3} + 6 t^{2} + 5 t + 2$ |
$x - 11$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 11.10.2.10a1.1 |
$20$ |
$( x^{10} + 7 x^{5} + 8 x^{4} + 10 x^{3} + 6 x^{2} + 6 x + 2 )^{2} + 11 x$ |
$11$ |
$10$ |
$2$ |
$10$ |
$C_{20}$ (as 20T1) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$[\ ]_{2}^{10}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{10} + 7 t^{5} + 8 t^{4} + 10 t^{3} + 6 t^{2} + 6 t + 2$ |
$x^{2} + 11 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 11.4.5.16a1.1 |
$20$ |
$( x^{4} + 8 x^{2} + 10 x + 2 )^{5} + 11 x^{3}$ |
$11$ |
$4$ |
$5$ |
$16$ |
$C_{20}$ (as 20T1) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{4} + 8 t^{2} + 10 t + 2$ |
$x^{5} + 11 t^{3}$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 11.4.5.16a1.2 |
$20$ |
$( x^{4} + 8 x^{2} + 10 x + 2 )^{5} + 11 x^{2}$ |
$11$ |
$4$ |
$5$ |
$16$ |
$C_{20}$ (as 20T1) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{4} + 8 t^{2} + 10 t + 2$ |
$x^{5} + 11 t^{2}$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 11.4.5.16a1.3 |
$20$ |
$( x^{4} + 8 x^{2} + 10 x + 2 )^{5} + 11 x$ |
$11$ |
$4$ |
$5$ |
$16$ |
$C_{20}$ (as 20T1) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{4} + 8 t^{2} + 10 t + 2$ |
$x^{5} + 11 t$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 11.4.5.16a1.4 |
$20$ |
$( x^{4} + 8 x^{2} + 10 x + 2 )^{5} + 11$ |
$11$ |
$4$ |
$5$ |
$16$ |
$C_{20}$ (as 20T1) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{4} + 8 t^{2} + 10 t + 2$ |
$x^{5} + 11$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 11.4.5.16a1.5 |
$20$ |
$( x^{4} + 8 x^{2} + 10 x + 2 )^{5} + 33 x^{2} + 11 x + 99$ |
$11$ |
$4$ |
$5$ |
$16$ |
$C_{20}$ (as 20T1) |
$4$ |
$5$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{5}^{4}$ |
$[\ ]_{5}^{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{4} + 8 t^{2} + 10 t + 2$ |
$x^{5} + 33 t^{2} + 11 t + 99$ |
$[0]$ |
$[1]$ |
$z^4 + 5 z^3 + 10 z^2 + 10 z + 5$ |
undefined |
| 11.2.10.18a1.1 |
$20$ |
$( x^{2} + 7 x + 2 )^{10} + 11 x$ |
$11$ |
$2$ |
$10$ |
$18$ |
$C_{20}$ (as 20T1) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$[\ ]_{10}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 11 t$ |
$[0]$ |
$[1]$ |
$z^9 + 10 z^8 + z^7 + 10 z^6 + z^5 + 10 z^4 + z^3 + 10 z^2 + z + 10$ |
undefined |
| 11.2.10.18a1.3 |
$20$ |
$( x^{2} + 7 x + 2 )^{10} + 22 x + 11$ |
$11$ |
$2$ |
$10$ |
$18$ |
$C_{20}$ (as 20T1) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$[\ ]_{10}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 22 t + 11$ |
$[0]$ |
$[1]$ |
$z^9 + 10 z^8 + z^7 + 10 z^6 + z^5 + 10 z^4 + z^3 + 10 z^2 + z + 10$ |
undefined |
| 11.2.10.18a1.4 |
$20$ |
$( x^{2} + 7 x + 2 )^{10} + 99 x + 22$ |
$11$ |
$2$ |
$10$ |
$18$ |
$C_{20}$ (as 20T1) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$[\ ]_{10}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 99 t + 22$ |
$[0]$ |
$[1]$ |
$z^9 + 10 z^8 + z^7 + 10 z^6 + z^5 + 10 z^4 + z^3 + 10 z^2 + z + 10$ |
undefined |
| 11.2.10.18a1.6 |
$20$ |
$( x^{2} + 7 x + 2 )^{10} + 33 x + 33$ |
$11$ |
$2$ |
$10$ |
$18$ |
$C_{20}$ (as 20T1) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$[\ ]_{10}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 33 t + 33$ |
$[0]$ |
$[1]$ |
$z^9 + 10 z^8 + z^7 + 10 z^6 + z^5 + 10 z^4 + z^3 + 10 z^2 + z + 10$ |
undefined |
| 11.2.10.18a1.7 |
$20$ |
$( x^{2} + 7 x + 2 )^{10} + 110 x + 33$ |
$11$ |
$2$ |
$10$ |
$18$ |
$C_{20}$ (as 20T1) |
$2$ |
$10$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{10}^{2}$ |
$[\ ]_{10}^{2}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{2} + 7 t + 2$ |
$x^{10} + 110 t + 33$ |
$[0]$ |
$[1]$ |
$z^9 + 10 z^8 + z^7 + 10 z^6 + z^5 + 10 z^4 + z^3 + 10 z^2 + z + 10$ |
undefined |
| 13.20.1.0a1.1 |
$20$ |
$x^{20} + x^{12} + 12 x^{11} + 9 x^{10} + 7 x^{8} + 8 x^{7} + 7 x^{6} + 4 x^{5} + 4 x^{3} + 8 x^{2} + 11 x + 2$ |
$13$ |
$20$ |
$1$ |
$0$ |
$C_{20}$ (as 20T1) |
$20$ |
$1$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]^{20}$ |
$[\ ]^{20}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{20} + t^{12} + 12 t^{11} + 9 t^{10} + 7 t^{8} + 8 t^{7} + 7 t^{6} + 4 t^{5} + 4 t^{3} + 8 t^{2} + 11 t + 2$ |
$x - 13$ |
$[0]$ |
$[\ ]$ |
|
undefined |
| 13.10.2.10a1.1 |
$20$ |
$( x^{10} + 7 x^{5} + 5 x^{4} + 8 x^{3} + x^{2} + x + 2 )^{2} + 13 x$ |
$13$ |
$10$ |
$2$ |
$10$ |
$C_{20}$ (as 20T1) |
$10$ |
$2$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{2}^{10}$ |
$[\ ]_{2}^{10}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{10} + 7 t^{5} + 5 t^{4} + 8 t^{3} + t^{2} + t + 2$ |
$x^{2} + 13 t$ |
$[0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 13.5.4.15a1.1 |
$20$ |
$( x^{5} + 4 x + 11 )^{4} + 13 x^{3}$ |
$13$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
$5$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{5}$ |
$[\ ]_{4}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{5} + 4 t + 11$ |
$x^{4} + 13 t^{3}$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 13.5.4.15a1.2 |
$20$ |
$( x^{5} + 4 x + 11 )^{4} + 13 x^{2}$ |
$13$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
$5$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{5}$ |
$[\ ]_{4}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{5} + 4 t + 11$ |
$x^{4} + 13 t^{2}$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 13.5.4.15a1.3 |
$20$ |
$( x^{5} + 4 x + 11 )^{4} + 13 x$ |
$13$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
$5$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{5}$ |
$[\ ]_{4}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{5} + 4 t + 11$ |
$x^{4} + 13 t$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 13.5.4.15a1.4 |
$20$ |
$( x^{5} + 4 x + 11 )^{4} + 13$ |
$13$ |
$5$ |
$4$ |
$15$ |
$C_{20}$ (as 20T1) |
$5$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{5}$ |
$[\ ]_{4}^{5}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t^{5} + 4 t + 11$ |
$x^{4} + 13$ |
$[0]$ |
$[1]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
