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| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 13.8.0.1 | x8 + 4x2 - x + 6 | $13$ | $1$ | $8$ | $0$ | $C_8$ (as 8T1) | $ [\ ]^{8}$ |
| 13.8.4.1 | x8 + 26x6 + 845x4 + 6591x2 + 114244 | $13$ | $2$ | $4$ | $4$ | $C_4\times C_2$ (as 8T2) | $ [\ ]_{2}^{4}$ |
| 13.8.4.2 | x8 + 169x4 - 2197x2 + 57122 | $13$ | $2$ | $4$ | $4$ | $C_8$ (as 8T1) | $ [\ ]_{2}^{4}$ |
| 13.8.6.1 | x8 - 13x4 + 2704 | $13$ | $4$ | $2$ | $6$ | $C_4\times C_2$ (as 8T2) | $ [\ ]_{4}^{2}$ |
| 13.8.6.2 | x8 + 39x4 + 676 | $13$ | $4$ | $2$ | $6$ | $C_4\times C_2$ (as 8T2) | $ [\ ]_{4}^{2}$ |
| 13.8.6.3 | x8 + 65x4 + 1352 | $13$ | $4$ | $2$ | $6$ | $C_8$ (as 8T1) | $ [\ ]_{4}^{2}$ |
| 13.8.6.4 | x8 - 13x4 + 338 | $13$ | $4$ | $2$ | $6$ | $C_8$ (as 8T1) | $ [\ ]_{4}^{2}$ |
| 13.8.7.1 | x8 - 13 | $13$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $ [\ ]_{8}^{2}$ |
| 13.8.7.2 | x8 - 52 | $13$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $ [\ ]_{8}^{2}$ |
| 13.8.7.3 | x8 + 26 | $13$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $ [\ ]_{8}^{2}$ |
| 13.8.7.4 | x8 + 104 | $13$ | $8$ | $1$ | $7$ | $C_8:C_2$ (as 8T7) | $ [\ ]_{8}^{2}$ |