Results (displaying all 26 matches)
| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 5.5.0.1 | x5 - x + 2 | 5 | 1 | 5 | 0 | $C_5$ (as 5T1) | $ [\ ]^{5}$ |
| 5.5.5.1 | x5 + 20x + 5 | 5 | 5 | 1 | 5 | $F_5$ (as 5T3) | $ [5/4]_{4}$ |
| 5.5.5.2 | x5 + 5x + 5 | 5 | 5 | 1 | 5 | $F_5$ (as 5T3) | $ [5/4]_{4}$ |
| 5.5.5.3 | x5 + 15x + 5 | 5 | 5 | 1 | 5 | $F_5$ (as 5T3) | $ [5/4]_{4}$ |
| 5.5.5.4 | x5 + 10x + 5 | 5 | 5 | 1 | 5 | $F_5$ (as 5T3) | $ [5/4]_{4}$ |
| 5.5.6.1 | x5 + 10x2 + 5 | 5 | 5 | 1 | 6 | $D_{5}$ (as 5T2) | $ [3/2]_{2}$ |
| 5.5.6.2 | x5 + 15x2 + 5 | 5 | 5 | 1 | 6 | $D_{5}$ (as 5T2) | $ [3/2]_{2}$ |
| 5.5.6.3 | x5 + 5x2 + 5 | 5 | 5 | 1 | 6 | $F_5$ (as 5T3) | $ [3/2]_{2}^{2}$ |
| 5.5.6.4 | x5 + 20x2 + 5 | 5 | 5 | 1 | 6 | $F_5$ (as 5T3) | $ [3/2]_{2}^{2}$ |
| 5.5.7.1 | x5 + 15x3 + 5 | 5 | 5 | 1 | 7 | $F_5$ (as 5T3) | $ [7/4]_{4}$ |
| 5.5.7.2 | x5 + 10x3 + 5 | 5 | 5 | 1 | 7 | $F_5$ (as 5T3) | $ [7/4]_{4}$ |
| 5.5.7.3 | x5 + 20x3 + 5 | 5 | 5 | 1 | 7 | $F_5$ (as 5T3) | $ [7/4]_{4}$ |
| 5.5.7.4 | x5 + 5x3 + 5 | 5 | 5 | 1 | 7 | $F_5$ (as 5T3) | $ [7/4]_{4}$ |
| 5.5.8.1 | x5 - 5x4 + 105 | 5 | 5 | 1 | 8 | $C_5$ (as 5T1) | $ [2]$ |
| 5.5.8.2 | x5 - 5x4 + 5 | 5 | 5 | 1 | 8 | $C_5$ (as 5T1) | $ [2]$ |
| 5.5.8.3 | x5 - 5x4 + 30 | 5 | 5 | 1 | 8 | $C_5$ (as 5T1) | $ [2]$ |
| 5.5.8.4 | x5 - 5x4 + 55 | 5 | 5 | 1 | 8 | $C_5$ (as 5T1) | $ [2]$ |
| 5.5.8.5 | x5 - 5x4 + 80 | 5 | 5 | 1 | 8 | $C_5$ (as 5T1) | $ [2]$ |
| 5.5.8.6 | x5 + 5x4 + 5 | 5 | 5 | 1 | 8 | $D_{5}$ (as 5T2) | $ [2]^{2}$ |
| 5.5.8.7 | x5 + 10x4 + 5 | 5 | 5 | 1 | 8 | $F_5$ (as 5T3) | $ [2]^{4}$ |
| 5.5.8.8 | x5 + 15x4 + 5 | 5 | 5 | 1 | 8 | $F_5$ (as 5T3) | $ [2]^{4}$ |
| 5.5.9.1 | x5 + 5 | 5 | 5 | 1 | 9 | $F_5$ (as 5T3) | $ [9/4]_{4}$ |
| 5.5.9.2 | x5 + 55 | 5 | 5 | 1 | 9 | $F_5$ (as 5T3) | $ [9/4]_{4}$ |
| 5.5.9.3 | x5 + 80 | 5 | 5 | 1 | 9 | $F_5$ (as 5T3) | $ [9/4]_{4}$ |
| 5.5.9.4 | x5 + 30 | 5 | 5 | 1 | 9 | $F_5$ (as 5T3) | $ [9/4]_{4}$ |
| 5.5.9.5 | x5 + 105 | 5 | 5 | 1 | 9 | $F_5$ (as 5T3) | $ [9/4]_{4}$ |