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 |
| 5.1.15.25a1.1 |
20 |
$x^{15} + 5 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.2 |
80 |
$x^{15} + 5 x^{13} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.3 |
80 |
$x^{15} + 10 x^{13} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.4 |
80 |
$x^{15} + 15 x^{13} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.5 |
80 |
$x^{15} + 20 x^{13} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.6 |
20 |
$x^{15} + 5 x^{12} + 5 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.7 |
80 |
$x^{15} + 5 x^{13} + 5 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.8 |
80 |
$x^{15} + 10 x^{13} + 5 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.9 |
80 |
$x^{15} + 15 x^{13} + 5 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.10 |
80 |
$x^{15} + 20 x^{13} + 5 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.11 |
20 |
$x^{15} + 10 x^{12} + 5 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.12 |
80 |
$x^{15} + 5 x^{13} + 10 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.13 |
80 |
$x^{15} + 10 x^{13} + 10 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.14 |
80 |
$x^{15} + 15 x^{13} + 10 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.15 |
80 |
$x^{15} + 20 x^{13} + 10 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.16 |
20 |
$x^{15} + 15 x^{12} + 5 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.17 |
80 |
$x^{15} + 5 x^{13} + 15 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.18 |
80 |
$x^{15} + 10 x^{13} + 15 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.19 |
80 |
$x^{15} + 15 x^{13} + 15 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.20 |
80 |
$x^{15} + 20 x^{13} + 15 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.21 |
20 |
$x^{15} + 20 x^{12} + 5 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.22 |
80 |
$x^{15} + 5 x^{13} + 20 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.23 |
80 |
$x^{15} + 10 x^{13} + 20 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.24 |
80 |
$x^{15} + 15 x^{13} + 20 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.25 |
80 |
$x^{15} + 20 x^{13} + 20 x^{12} + 5 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 4$ |
undefined |
| 5.1.15.25a1.26 |
20 |
$x^{15} + 10 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.27 |
80 |
$x^{15} + 5 x^{13} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.28 |
80 |
$x^{15} + 10 x^{13} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.29 |
80 |
$x^{15} + 15 x^{13} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.30 |
80 |
$x^{15} + 20 x^{13} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.31 |
20 |
$x^{15} + 5 x^{12} + 10 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.32 |
80 |
$x^{15} + 5 x^{13} + 5 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.33 |
80 |
$x^{15} + 10 x^{13} + 5 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.34 |
80 |
$x^{15} + 15 x^{13} + 5 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.35 |
80 |
$x^{15} + 20 x^{13} + 5 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.36 |
20 |
$x^{15} + 10 x^{12} + 10 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.37 |
80 |
$x^{15} + 5 x^{13} + 10 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.38 |
80 |
$x^{15} + 10 x^{13} + 10 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.39 |
80 |
$x^{15} + 15 x^{13} + 10 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.40 |
80 |
$x^{15} + 20 x^{13} + 10 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.41 |
20 |
$x^{15} + 15 x^{12} + 10 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.42 |
80 |
$x^{15} + 5 x^{13} + 15 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.43 |
80 |
$x^{15} + 10 x^{13} + 15 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.44 |
80 |
$x^{15} + 15 x^{13} + 15 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.45 |
80 |
$x^{15} + 20 x^{13} + 15 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.46 |
20 |
$x^{15} + 20 x^{12} + 10 x^{11} + 5$ |
$C_5^2:(C_4\times S_3)$ (as 15T27) |
$600$ |
$1$ |
$[\frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{23}{12}]^{2}_{4}$ |
$[\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.47 |
80 |
$x^{15} + 5 x^{13} + 20 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.48 |
80 |
$x^{15} + 10 x^{13} + 20 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.49 |
80 |
$x^{15} + 15 x^{13} + 20 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
| 5.1.15.25a1.50 |
80 |
$x^{15} + 20 x^{13} + 20 x^{12} + 10 x^{11} + 5$ |
$C_5^3:(C_4\times S_3)$ (as 15T49) |
$3000$ |
$1$ |
$[\frac{5}{4}, \frac{23}{12}, \frac{23}{12}]_{12}^{2}$ |
$[\frac{1}{4},\frac{11}{12},\frac{11}{12}]_{12}^{2}$ |
$[\frac{5}{4},\frac{23}{12}]^{2}_{4}$ |
$[\frac{1}{4},\frac{11}{12}]^{2}_{4}$ |
$[11, 0]$ |
$[2, 1]$ |
$z^{10} + 3 z^5 + 3,3 z + 3$ |
undefined |
