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| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 13.10.0.1 | x10 + 2x2 - 2x + 2 | $13$ | $1$ | $10$ | $0$ | $C_{10}$ (as 10T1) | $ [\ ]^{10}$ |
| 13.10.5.1 | x10 - 676x6 + 114244x2 - 13366548 | $13$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $ [\ ]_{2}^{5}$ |
| 13.10.5.2 | x10 - 57122x2 + 2227758 | $13$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $ [\ ]_{2}^{5}$ |
| 13.10.8.1 | x10 - 13x5 + 338 | $13$ | $5$ | $2$ | $8$ | $F_5$ (as 10T4) | $ [\ ]_{5}^{4}$ |
| 13.10.9.1 | x10 - 13 | $13$ | $10$ | $1$ | $9$ | $F_{5}\times C_2$ (as 10T5) | $ [\ ]_{10}^{4}$ |
| 13.10.9.2 | x10 + 26 | $13$ | $10$ | $1$ | $9$ | $F_{5}\times C_2$ (as 10T5) | $ [\ ]_{10}^{4}$ |