Refine search
Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
5.6.0.1 | x6 - x + 2 | $5$ | $1$ | $6$ | $0$ | $C_6$ (as 6T1) | $[\ ]^{6}$ |
5.6.3.1 | x6 - 10x4 + 25x2 - 500 | $5$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
5.6.3.2 | x6 - 25x2 + 250 | $5$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
5.6.4.1 | x6 + 25x3 + 200 | $5$ | $3$ | $2$ | $4$ | $S_3$ (as 6T2) | $[\ ]_{3}^{2}$ |
5.6.4.2 | x6 - 5x3 + 50 | $5$ | $3$ | $2$ | $4$ | $S_3\times C_3$ (as 6T5) | $[\ ]_{3}^{6}$ |
5.6.5.1 | x6 - 5 | $5$ | $6$ | $1$ | $5$ | $D_{6}$ (as 6T3) | $[\ ]_{6}^{2}$ |
5.6.5.2 | x6 + 10 | $5$ | $6$ | $1$ | $5$ | $D_{6}$ (as 6T3) | $[\ ]_{6}^{2}$ |