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| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 3.10.0.1 | x10 - x3 - x + 2 | $3$ | $1$ | $10$ | $0$ | $C_{10}$ (as 10T1) | $ [\ ]^{10}$ |
| 3.10.5.1 | x10 - 18x6 + 81x2 - 243 | $3$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $ [\ ]_{2}^{5}$ |
| 3.10.5.2 | x10 - 81x2 + 243 | $3$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $ [\ ]_{2}^{5}$ |
| 3.10.8.1 | x10 - 3x5 + 18 | $3$ | $5$ | $2$ | $8$ | $F_5$ (as 10T4) | $ [\ ]_{5}^{4}$ |
| 3.10.9.1 | x10 - 3 | $3$ | $10$ | $1$ | $9$ | $F_{5}\times C_2$ (as 10T5) | $ [\ ]_{10}^{4}$ |
| 3.10.9.2 | x10 + 3 | $3$ | $10$ | $1$ | $9$ | $F_{5}\times C_2$ (as 10T5) | $ [\ ]_{10}^{4}$ |