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| Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
|---|---|---|---|---|---|---|---|
| 5.4.0.1 | x4 + x2 - 2x + 2 | $5$ | $1$ | $4$ | $0$ | $C_4$ (as 4T1) | $ [\ ]^{4}$ |
| 5.4.2.1 | x4 + 15x2 + 100 | $5$ | $2$ | $2$ | $2$ | $C_2^2$ (as 4T2) | $ [\ ]_{2}^{2}$ |
| 5.4.2.2 | x4 - 5x2 + 50 | $5$ | $2$ | $2$ | $2$ | $C_4$ (as 4T1) | $ [\ ]_{2}^{2}$ |
| 5.4.3.1 | x4 - 5 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $ [\ ]_{4}$ |
| 5.4.3.2 | x4 - 20 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $ [\ ]_{4}$ |
| 5.4.3.3 | x4 + 10 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $ [\ ]_{4}$ |
| 5.4.3.4 | x4 + 40 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $ [\ ]_{4}$ |