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| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 23.8.0.1 | x8 + x2 - 2x + 5 | $23$ | $1$ | $8$ | $0$ | $C_8$ (as 8T1) | $ [\ ]^{8}$ |
| 23.8.4.1 | x8 + 11638x4 - 12167x2 + 33860761 | $23$ | $2$ | $4$ | $4$ | $C_4\times C_2$ (as 8T2) | $ [\ ]_{2}^{4}$ |
| 23.8.4.2 | x8 - 12167x2 + 3078251 | $23$ | $2$ | $4$ | $4$ | $C_8$ (as 8T1) | $ [\ ]_{2}^{4}$ |
| 23.8.6.1 | x8 + 299x4 + 25921 | $23$ | $4$ | $2$ | $6$ | $Q_8$ (as 8T5) | $ [\ ]_{4}^{2}$ |
| 23.8.6.2 | x8 - 1633x4 + 1270129 | $23$ | $4$ | $2$ | $6$ | $D_4$ (as 8T4) | $ [\ ]_{4}^{2}$ |
| 23.8.6.3 | x8 - 23x4 + 3703 | $23$ | $4$ | $2$ | $6$ | $C_8:C_2$ (as 8T7) | $ [\ ]_{4}^{4}$ |
| 23.8.7.1 | x8 + 46 | $23$ | $8$ | $1$ | $7$ | $D_{8}$ (as 8T6) | $ [\ ]_{8}^{2}$ |
| 23.8.7.2 | x8 - 23 | $23$ | $8$ | $1$ | $7$ | $D_{8}$ (as 8T6) | $ [\ ]_{8}^{2}$ |