Select desired size of Galois group.
| Label |
Packet size |
Polynomial |
Galois group |
Galois degree |
$\#\Aut(K/\Q_p)$ |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 5.1.15.28a1.1 |
10 |
$x^{15} + 5 x^{14} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.2 |
10 |
$x^{15} + 5 x^{14} + 25 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.3 |
10 |
$x^{15} + 5 x^{14} + 50 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.4 |
10 |
$x^{15} + 5 x^{14} + 75 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.5 |
10 |
$x^{15} + 5 x^{14} + 100 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.6 |
40 |
$x^{15} + 5 x^{14} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.7 |
40 |
$x^{15} + 5 x^{14} + 25 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.8 |
40 |
$x^{15} + 5 x^{14} + 50 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.9 |
40 |
$x^{15} + 5 x^{14} + 75 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.10 |
40 |
$x^{15} + 5 x^{14} + 100 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.11 |
40 |
$x^{15} + 5 x^{14} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.12 |
40 |
$x^{15} + 5 x^{14} + 25 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.13 |
40 |
$x^{15} + 5 x^{14} + 50 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.14 |
40 |
$x^{15} + 5 x^{14} + 75 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.15 |
40 |
$x^{15} + 5 x^{14} + 100 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.16 |
40 |
$x^{15} + 5 x^{14} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.17 |
40 |
$x^{15} + 5 x^{14} + 25 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.18 |
40 |
$x^{15} + 5 x^{14} + 50 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.19 |
40 |
$x^{15} + 5 x^{14} + 75 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.20 |
40 |
$x^{15} + 5 x^{14} + 100 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.21 |
40 |
$x^{15} + 5 x^{14} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.22 |
40 |
$x^{15} + 5 x^{14} + 25 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.23 |
40 |
$x^{15} + 5 x^{14} + 50 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.24 |
40 |
$x^{15} + 5 x^{14} + 75 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.25 |
40 |
$x^{15} + 5 x^{14} + 100 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 1$ |
undefined |
| 5.1.15.28a1.26 |
10 |
$x^{15} + 20 x^{14} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.27 |
10 |
$x^{15} + 20 x^{14} + 25 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.28 |
10 |
$x^{15} + 20 x^{14} + 50 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.29 |
10 |
$x^{15} + 20 x^{14} + 75 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.30 |
10 |
$x^{15} + 20 x^{14} + 100 x^{2} + 5$ |
$(C_5^2 : C_3):C_4$ (as 15T17) |
$300$ |
$1$ |
$[\frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{13}{6}]^{2}_{2}$ |
$[\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.31 |
40 |
$x^{15} + 20 x^{14} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.32 |
40 |
$x^{15} + 20 x^{14} + 25 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.33 |
40 |
$x^{15} + 20 x^{14} + 50 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.34 |
40 |
$x^{15} + 20 x^{14} + 75 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.35 |
40 |
$x^{15} + 20 x^{14} + 100 x^{2} + 25 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.36 |
40 |
$x^{15} + 20 x^{14} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.37 |
40 |
$x^{15} + 20 x^{14} + 25 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.38 |
40 |
$x^{15} + 20 x^{14} + 50 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.39 |
40 |
$x^{15} + 20 x^{14} + 75 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.40 |
40 |
$x^{15} + 20 x^{14} + 100 x^{2} + 50 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.41 |
40 |
$x^{15} + 20 x^{14} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.42 |
40 |
$x^{15} + 20 x^{14} + 25 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.43 |
40 |
$x^{15} + 20 x^{14} + 50 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.44 |
40 |
$x^{15} + 20 x^{14} + 75 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.45 |
40 |
$x^{15} + 20 x^{14} + 100 x^{2} + 75 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.46 |
40 |
$x^{15} + 20 x^{14} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.47 |
40 |
$x^{15} + 20 x^{14} + 25 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.48 |
40 |
$x^{15} + 20 x^{14} + 50 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.49 |
40 |
$x^{15} + 20 x^{14} + 75 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
| 5.1.15.28a1.50 |
40 |
$x^{15} + 20 x^{14} + 100 x^{2} + 100 x + 5$ |
$C_5\wr C_3:C_4$ (as 15T37) |
$1500$ |
$1$ |
$[\frac{3}{2}, \frac{13}{6}, \frac{13}{6}]_{6}^{2}$ |
$[\frac{1}{2},\frac{7}{6},\frac{7}{6}]_{6}^{2}$ |
$[\frac{3}{2},\frac{13}{6}]^{2}_{2}$ |
$[\frac{1}{2},\frac{7}{6}]^{2}_{2}$ |
$[14, 0]$ |
$[2, 2]$ |
$z^{10} + 3 z^5 + 3,3 z^2 + 4$ |
undefined |
