| 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 |
| 2.10.2.20a11.1 |
$20$ |
$( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 )^{2} + \left(2 x^{5} + 2 x^{3} + 2 x\right) ( x^{10} + x^{6} + x^{5} + x^{3} + x^{2} + x + 1 ) + 2$ |
$2$ |
$10$ |
$2$ |
$20$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{10} + t^{6} + t^{5} + t^{3} + t^{2} + t + 1$ |
$x^{2} + \left(2 t^{5} + 2 t^{3} + 2 t\right) x + 6$ |
$[1, 0]$ |
$[1]$ |
$z + (t^9 + t^5 + t)$ |
$[1, 3]$ |
| 2.5.4.30a1.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$30$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2, 2]$ |
$[1,1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{3} + 2$ |
$[3, 3, 0]$ |
$[2]$ |
$z^3 + (t^3 + t^2 + t)$ |
$[1, 3, 6]$ |
| 2.5.4.45a1.106 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{3} + 10 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{3} + 10 x^{2} + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + 1),(t^3 + t^2 + 1) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 5, 9]$ |
| 2.5.4.45a1.209 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{2} + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + 1),(t^3 + t^2 + 1) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 2, 8]$ |
| 2.5.4.45a1.210 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 10 ( x^{5} + x^{2} + 1 )^{2} + 6$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 10 x^{2} + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + 1),(t^3 + t^2 + 1) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 2, 8]$ |
| 2.5.4.45a1.216 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 2 ( x^{5} + x^{2} + 1 )^{2} + 8 ( x^{5} + x^{2} + 1 ) + 6$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 2 x^{2} + 8 x + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + 1),(t^3 + t^2 + 1) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 2, 8]$ |
| 2.5.4.45a1.318 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{3} + 2 ( x^{5} + x^{2} + 1 )^{2} + 8 ( x^{5} + x^{2} + 1 ) + 6$ |
$2$ |
$5$ |
$4$ |
$45$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[2, \frac{7}{2}]$ |
$[1,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{3} + 2 x^{2} + 8 x + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^3 + t^2 + 1),(t^3 + t^2 + 1) z + (t^4 + t^3 + t^2 + t)$ |
$[1, 2, 8]$ |
| 2.5.4.50a1.1 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{3} + 2$ |
$2$ |
$5$ |
$4$ |
$50$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{3} + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + (t^4 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.50a1.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{3} + 8 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$50$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{3} + 8 x^{2} + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + (t^4 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.50a1.10 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{3} + 8 ( x^{5} + x^{2} + 1 )^{2} + 10$ |
$2$ |
$5$ |
$4$ |
$50$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{3} + 8 x^{2} + 10$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + (t^4 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.50a1.210 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{3} + 12 ( x^{5} + x^{2} + 1 )^{2} + 2$ |
$2$ |
$5$ |
$4$ |
$50$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{3} + 12 x^{2} + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + (t^4 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.50a1.217 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{3} + 4 ( x^{5} + x^{2} + 1 )^{2} + 10$ |
$2$ |
$5$ |
$4$ |
$50$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, \frac{7}{2}]$ |
$[2,\frac{5}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{3} + 4 x^{2} + 10$ |
$[7, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + (t^4 + t^2 + t)$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.2 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 18$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.209 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 10$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.210 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 26$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.313 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 8 ( x^{5} + x^{2} + 1 ) + 10$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 8 x + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.317 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 8 ( x^{5} + x^{2} + 1 )^{3} + 8 ( x^{5} + x^{2} + 1 ) + 10$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 8 x^{3} + 8 x + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6737 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{2} + 8 ( x^{5} + x^{2} + 1 ) + 2$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{2} + 8 x + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6738 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{2} + 8 ( x^{5} + x^{2} + 1 ) + 18$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{2} + 8 x + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 2.5.4.55a1.6954 |
$20$ |
$( x^{5} + x^{2} + 1 )^{4} + 4 ( x^{5} + x^{2} + 1 )^{2} + 8 ( x^{5} + x^{2} + 1 ) + 26$ |
$2$ |
$5$ |
$4$ |
$55$ |
$C_5\times D_4$ (as 20T12) |
not computed |
not computed |
$[3, 4]$ |
$[2,3]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t^{5} + t^{2} + 1$ |
$x^{4} + 4 x^{2} + 8 x + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + (t^4 + t^3 + t + 1),(t^4 + t^3 + t + 1) z + t$ |
$[1, 3, 7]$ |
| 3.5.4.15a1.1 |
$20$ |
$( x^{5} + 2 x + 1 )^{4} + 3 x$ |
$3$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 2 t + 1$ |
$x^{4} + 3 t$ |
$[0]$ |
$[2]$ |
$z^3 + z^2 + 1$ |
undefined |
| 3.5.4.15a1.2 |
$20$ |
$( x^{5} + 2 x + 1 )^{4} + 3$ |
$3$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 2 t + 1$ |
$x^{4} + 3$ |
$[0]$ |
$[2]$ |
$z^3 + z^2 + 1$ |
$[2]$ |
| 7.5.4.15a1.1 |
$20$ |
$( x^{5} + x + 4 )^{4} + 7 x$ |
$7$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + t + 4$ |
$x^{4} + 7 t$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 7.5.4.15a1.2 |
$20$ |
$( x^{5} + x + 4 )^{4} + 7$ |
$7$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + t + 4$ |
$x^{4} + 7$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 11.5.4.15a1.1 |
$20$ |
$( x^{5} + 10 x^{2} + 9 )^{4} + 11 x$ |
$11$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 10 t^{2} + 9$ |
$x^{4} + 11 t$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 11.5.4.15a1.2 |
$20$ |
$( x^{5} + 10 x^{2} + 9 )^{4} + 11$ |
$11$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 10 t^{2} + 9$ |
$x^{4} + 11$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 11.1.20.19a1.1 |
$20$ |
$x^{20} + 11$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 11$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
$[2]$ |
| 11.1.20.19a1.2 |
$20$ |
$x^{20} + 22$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 22$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.3 |
$20$ |
$x^{20} + 33$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 33$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.4 |
$20$ |
$x^{20} + 44$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 44$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.5 |
$20$ |
$x^{20} + 55$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 55$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.6 |
$20$ |
$x^{20} + 66$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 66$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.7 |
$20$ |
$x^{20} + 77$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 77$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.8 |
$20$ |
$x^{20} + 88$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 88$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.9 |
$20$ |
$x^{20} + 99$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 99$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 11.1.20.19a1.10 |
$20$ |
$x^{20} + 110$ |
$11$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 9$ |
$x^{20} + 110$ |
$[0]$ |
$[2]$ |
$z^{19} + 9 z^{18} + 3 z^{17} + 7 z^{16} + 5 z^{15} + 5 z^{14} + 7 z^{13} + 3 z^{12} + 9 z^{11} + z^{10} + z^8 + 9 z^7 + 3 z^6 + 7 z^5 + 5 z^4 + 5 z^3 + 7 z^2 + 3 z + 9$ |
undefined |
| 19.5.4.15a1.1 |
$20$ |
$( x^{5} + 5 x + 17 )^{4} + 19 x$ |
$19$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 5 t + 17$ |
$x^{4} + 19 t$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 19.5.4.15a1.2 |
$20$ |
$( x^{5} + 5 x + 17 )^{4} + 19$ |
$19$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 5 t + 17$ |
$x^{4} + 19$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 23.5.4.15a1.1 |
$20$ |
$( x^{5} + 3 x + 18 )^{4} + 23 x$ |
$23$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 3 t + 18$ |
$x^{4} + 23 t$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 23.5.4.15a1.2 |
$20$ |
$( x^{5} + 3 x + 18 )^{4} + 23$ |
$23$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 3 t + 18$ |
$x^{4} + 23$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 31.5.4.15a1.1 |
$20$ |
$( x^{5} + 7 x + 28 )^{4} + 31 x$ |
$31$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 7 t + 28$ |
$x^{4} + 31 t$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 31.5.4.15a1.2 |
$20$ |
$( x^{5} + 7 x + 28 )^{4} + 31$ |
$31$ |
$5$ |
$4$ |
$15$ |
$C_5\times D_4$ (as 20T12) |
$10$ |
$4$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{4}^{10}$ |
$[\ ]_{4}^{10}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t^{5} + 7 t + 28$ |
$x^{4} + 31$ |
$[0]$ |
$[2]$ |
$z^3 + 4 z^2 + 6 z + 4$ |
undefined |
| 31.1.20.19a1.1 |
$20$ |
$x^{20} + 31$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 31$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
| 31.1.20.19a1.2 |
$20$ |
$x^{20} + 93$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 93$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
| 31.1.20.19a1.3 |
$20$ |
$x^{20} + 279$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 279$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
| 31.1.20.19a1.4 |
$20$ |
$x^{20} + 496$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 496$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
| 31.1.20.19a1.5 |
$20$ |
$x^{20} + 527$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 527$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
| 31.1.20.19a1.6 |
$20$ |
$x^{20} + 589$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 589$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
| 31.1.20.19a1.7 |
$20$ |
$x^{20} + 620$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 620$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
| 31.1.20.19a1.8 |
$20$ |
$x^{20} + 806$ |
$31$ |
$1$ |
$20$ |
$19$ |
$C_5\times D_4$ (as 20T12) |
$2$ |
$20$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{20}^{2}$ |
$[\ ]_{20}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$10$ |
$t + 28$ |
$x^{20} + 806$ |
$[0]$ |
$[2]$ |
$z^{19} + 20 z^{18} + 4 z^{17} + 24 z^{16} + 9 z^{15} + 4 z^{14} + 10 z^{13} + 20 z^{12} + 17 z^{11} + 2 z^{10} + 27 z^9 + 2 z^8 + 17 z^7 + 20 z^6 + 10 z^5 + 4 z^4 + 9 z^3 + 24 z^2 + 4 z + 20$ |
undefined |
