Refine search
Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
5.8.0.1 | x8 + x2 - 2x + 3 | $5$ | $1$ | $8$ | $0$ | $C_8$ (as 8T1) | $[\ ]^{8}$ |
5.8.4.1 | x8 + 10x6 + 125x4 + 2500 | $5$ | $2$ | $4$ | $4$ | $C_4\times C_2$ (as 8T2) | $[\ ]_{2}^{4}$ |
5.8.4.2 | x8 + 25x4 - 250x2 + 1250 | $5$ | $2$ | $4$ | $4$ | $C_8$ (as 8T1) | $[\ ]_{2}^{4}$ |
5.8.6.1 | x8 - 5x4 + 400 | $5$ | $4$ | $2$ | $6$ | $C_4\times C_2$ (as 8T2) | $[\ ]_{4}^{2}$ |
5.8.6.2 | x8 + 15x4 + 100 | $5$ | $4$ | $2$ | $6$ | $C_4\times C_2$ (as 8T2) | $[\ ]_{4}^{2}$ |
5.8.6.3 | x8 + 25x4 + 200 | $5$ | $4$ | $2$ | $6$ | $C_8$ (as 8T1) | $[\ ]_{4}^{2}$ |
5.8.6.4 | x8 - 5x4 + 50 | $5$ | $4$ | $2$ | $6$ | $C_8$ (as 8T1) | $[\ ]_{4}^{2}$ |
5.8.7.1 | x8 - 5 | $5$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $[\ ]_{8}^{2}$ |
5.8.7.2 | x8 - 20 | $5$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $[\ ]_{8}^{2}$ |
5.8.7.3 | x8 + 10 | $5$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $[\ ]_{8}^{2}$ |
5.8.7.4 | x8 + 40 | $5$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $[\ ]_{8}^{2}$ |