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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
5.4.0.1 | x4 + 4x2 + 4x + 2 | $5$ | $1$ | $4$ | $0$ | $C_4$ (as 4T1) | $[\ ]^{4}$ |
5.4.2.1 | x4 + 48x3 + 670x2 + 2256x + 1449 | $5$ | $2$ | $2$ | $2$ | $C_2^2$ (as 4T2) | $[\ ]_{2}^{2}$ |
5.4.2.2 | x4 - 20x2 + 50 | $5$ | $2$ | $2$ | $2$ | $C_4$ (as 4T1) | $[\ ]_{2}^{2}$ |
5.4.3.1 | x4 + 20 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |
5.4.3.2 | x4 + 5 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |
5.4.3.3 | x4 + 10 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |
5.4.3.4 | x4 + 15 | $5$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |