Results (displaying both matches)
| Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|
| x3 - x + 3 | 17 | 1 | 3 | 0 | $C_3$ (as 3T1) | $ [\ ]^{3}$ |
| x3 - 17 | 17 | 3 | 1 | 2 | $S_3$ (as 3T2) | $ [\ ]_{3}^{2}$ |
Local Number Field Search Results
| Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|
| x3 - x + 3 | 17 | 1 | 3 | 0 | $C_3$ (as 3T1) | $ [\ ]^{3}$ |
| x3 - 17 | 17 | 3 | 1 | 2 | $S_3$ (as 3T2) | $ [\ ]_{3}^{2}$ |