| 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 |
| 5.1.20.35a1.1 |
$20$ |
$x^{20} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
$[2]_{4}$ |
$[1]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 5]$ |
| 5.1.20.35a1.2 |
$20$ |
$x^{20} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
$[2]_{4}$ |
$[1]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 25]$ |
| 5.1.20.35a1.3 |
$20$ |
$x^{20} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
$[2]_{4}$ |
$[1]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 25]$ |
| 5.1.20.35a1.4 |
$20$ |
$x^{20} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
$[2]_{4}$ |
$[1]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 25]$ |
| 5.1.20.35a1.5 |
$20$ |
$x^{20} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_{20}$ (as 20T1) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
$[2]_{4}$ |
$[1]_{4}$ |
$[\ ]$ |
$[\ ]$ |
$20$ |
$t + 3$ |
$x^{20} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 25]$ |
| 5.1.20.35a1.6 |
$20$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 24]$ |
| 5.1.20.35a1.7 |
$20$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 24]$ |
| 5.1.20.35a1.8 |
$20$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 24]$ |
| 5.1.20.35a1.9 |
$20$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 24]$ |
| 5.1.20.35a1.10 |
$20$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 24]$ |
| 5.1.20.35a1.11 |
$20$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.12 |
$20$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.13 |
$20$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.14 |
$20$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.15 |
$20$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 5 x^{18} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.16 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.17 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.18 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.19 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.20 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{18} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.21 |
$20$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.22 |
$20$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.23 |
$20$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.24 |
$20$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.25 |
$20$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 5 x^{18} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.26 |
$20$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.27 |
$20$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.28 |
$20$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.29 |
$20$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.30 |
$20$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5:C_{20}$ (as 20T25) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$10$ |
$t + 3$ |
$x^{20} + 10 x^{18} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.31 |
$20$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.32 |
$20$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.33 |
$20$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.34 |
$20$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.35 |
$20$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 10 x^{18} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.36 |
$20$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.37 |
$20$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.38 |
$20$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.39 |
$20$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.40 |
$20$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T127) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 10 x^{19} + 10 x^{18} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 23]$ |
| 5.1.20.35a1.41 |
$20$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.42 |
$20$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.43 |
$20$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.44 |
$20$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.45 |
$20$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5\times F_5$ (as 20T29) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{17} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.46 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 5$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T126) |
$1$ |
$4$ |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 5$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.47 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 30$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T126) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 30$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.48 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 55$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T126) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 55$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.49 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 80$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T126) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 80$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |
| 5.1.20.35a1.50 |
$20$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 105$ |
$5$ |
$1$ |
$20$ |
$35$ |
$C_5^2:C_{20}$ (as 20T126) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$5$ |
$t + 3$ |
$x^{20} + 5 x^{19} + 5 x^{17} + 20 x^{16} + 105$ |
$[16, 0]$ |
$[1, 1]$ |
$z^{15} + 4 z^{10} + z^5 + 4,4 z^4 + 1$ |
$[1, 22]$ |