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Results (displaying all 8 matches)
| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 19.8.0.1 | x8 - x + 2 | 19 | 1 | 8 | 0 | $C_8$ (as 8T1) | $ [\ ]^{8}$ |
| 19.8.4.1 | x8 + 7220x4 - 27436x2 + 13032100 | 19 | 2 | 4 | 4 | $C_4\times C_2$ (as 8T2) | $ [\ ]_{2}^{4}$ |
| 19.8.4.2 | x8 - 13718x2 + 1303210 | 19 | 2 | 4 | 4 | $C_8$ (as 8T1) | $ [\ ]_{2}^{4}$ |
| 19.8.6.1 | x8 + 57x4 + 1444 | 19 | 4 | 2 | 6 | $Q_8$ (as 8T5) | $ [\ ]_{4}^{2}$ |
| 19.8.6.2 | x8 - 19x4 + 5776 | 19 | 4 | 2 | 6 | $D_4$ (as 8T4) | $ [\ ]_{4}^{2}$ |
| 19.8.6.3 | x8 - 19x4 + 722 | 19 | 4 | 2 | 6 | $C_8:C_2$ (as 8T7) | $ [\ ]_{4}^{4}$ |
| 19.8.7.1 | x8 + 76 | 19 | 8 | 1 | 7 | $QD_{16}$ (as 8T8) | $ [\ ]_{8}^{2}$ |
| 19.8.7.2 | x8 - 19 | 19 | 8 | 1 | 7 | $QD_{16}$ (as 8T8) | $ [\ ]_{8}^{2}$ |