| 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 |
| 2.2.10.28a1.3 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + 2 ( x^{2} + x + 1 )^{5} + 2$ |
$2$ |
$2$ |
$10$ |
$28$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 2 t x^{9} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 19]$ |
| 2.2.10.28a1.7 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{5} + 2$ |
$2$ |
$2$ |
$10$ |
$28$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 2 t x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 17]$ |
| 2.2.10.28a1.13 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(2 x + 2\right) ( x^{2} + x + 1 )^{9} + 2 x ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{5} + 2$ |
$2$ |
$2$ |
$10$ |
$28$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 2 t x^{9} + \left(2 t + 2\right) x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 17]$ |
| 2.2.10.32a2.51 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + 2 x ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$32$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{12}{5}]$ |
$[\frac{7}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(2 t + 2\right) x^{9} + 2 t x^{7} + 4 x^{3} + \left(4 t + 4\right) x + 2$ |
$[7, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.32a2.55 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + 2 x ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$32$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{12}{5}]$ |
$[\frac{7}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(2 t + 2\right) x^{9} + 2 t x^{7} + \left(4 t + 4\right) x + 2$ |
$[7, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.32a2.62 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + 2 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$32$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{12}{5}]$ |
$[\frac{7}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(2 t + 2\right) x^{9} + 2 t x^{7} + 4 x^{3} + 4 x + 2$ |
$[7, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.36a2.169 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$36$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{14}{5}]$ |
$[\frac{9}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(2 t + 2\right) x^{9} + 4 x^{5} + \left(4 t + 4\right) x^{3} + 4 t x + 2$ |
$[9, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.36a2.185 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$36$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{14}{5}]$ |
$[\frac{9}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 2 t x^{9} + 4 t x^{3} + \left(4 t + 4\right) x + 2$ |
$[9, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.36a2.494 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$36$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{14}{5}]$ |
$[\frac{9}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(2 t + 2\right) x^{9} + \left(4 t + 4\right) x^{7} + 4 x^{5} + 4 t x^{3} + \left(4 t + 4\right) x + 2$ |
$[9, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.36a2.510 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$36$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{14}{5}]$ |
$[\frac{9}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(2 t + 2\right) x^{9} + \left(4 t + 4\right) x^{7} + 4 t x^{3} + \left(4 t + 4\right) x + 2$ |
$[9, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.36a2.511 |
$20$ |
$( x^{2} + x + 1 )^{10} + 2 x ( x^{2} + x + 1 )^{9} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$36$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[\frac{14}{5}]$ |
$[\frac{9}{5}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(2 t + 2\right) x^{9} + 4 t x^{3} + \left(4 t + 4\right) x + 2$ |
$[9, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + t$ |
$[5, 15]$ |
| 2.2.10.38a1.3 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{9} + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{9} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.7 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{7} + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{7} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.13 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + 4 t x^{7} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.55 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{5} + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{9} + 4 x^{5} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.59 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{7} + 4 x^{5} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.65 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{9} + \left(4 t + 4\right) x^{7} + 4 x^{5} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.76 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + 4 x^{5} + \left(4 t + 4\right) x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.78 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{9} + 4 x^{5} + 4 t x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.84 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{9} + 4 t x^{7} + 4 x^{5} + 4 t x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.86 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{9} + \left(4 t + 4\right) x^{7} + 4 x^{5} + \left(4 t + 4\right) x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.140 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{9} + 4 t x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.142 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{9} + 4 t x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.148 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 x ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + \left(4 t + 4\right) x^{7} + \left(4 t + 4\right) x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.150 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 )^{3} + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{9} + \left(4 t + 4\right) x^{7} + \left(4 t + 4\right) x^{3} + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.278 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + \left(4 t + 4\right) x^{7} + 4 x^{5} + 4 x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.303 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{7} + 4 x^{5} + 4 x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.342 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + \left(4 t + 4\right) x^{7} + 4 x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.344 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{7} + 4 x^{3} + 4 t x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.365 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + 4 x^{7} + 4 x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.367 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{5} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{7} + 4 x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.701 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{7} + \left(4 t + 4\right) x^{5} + \left(4 t + 4\right) x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.703 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + 4 x^{7} + \left(4 t + 4\right) x^{5} + \left(4 t + 4\right) x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.710 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{7} + 4 t x^{5} + 4 t x^{3} + 4 t x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.712 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{7} + 4 x ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + \left(4 t + 4\right) x^{7} + \left(4 t + 4\right) x^{5} + \left(4 t + 4\right) x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.765 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 x^{7} + 4 t x^{5} + \left(4 t + 4\right) x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.767 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + 4 x ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{9} + 4 x^{7} + 4 t x^{5} + \left(4 t + 4\right) x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.774 |
$20$ |
$( x^{2} + x + 1 )^{10} + 4 ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + \left(4 t + 4\right) x^{7} + 4 t x^{5} + \left(4 t + 4\right) x^{3} + \left(4 t + 4\right) x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
| 2.2.10.38a1.776 |
$20$ |
$( x^{2} + x + 1 )^{10} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{9} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 ) + 8 x + 2$ |
$2$ |
$2$ |
$10$ |
$38$ |
$C_2\wr F_5$ (as 20T134) |
not computed |
not computed |
$[3]$ |
$[2]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t^{2} + t + 1$ |
$x^{10} + 4 t x^{9} + 4 t x^{7} + \left(4 t + 4\right) x^{5} + 4 t x^{3} + 4 t x + 2$ |
$[10, 0]$ |
$[2, 1]$ |
$z^8 + z^6 + 1,z + 1$ |
$[5, 15]$ |
