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Results (displaying all 11 matches)
| 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}$ |