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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
19.4.0.1 | x4 - 2x + 10 | $19$ | $1$ | $4$ | $0$ | $C_4$ (as 4T1) | $ [\ ]^{4}$ |
19.4.2.1 | x4 + 57x2 + 1444 | $19$ | $2$ | $2$ | $2$ | $C_2^2$ (as 4T2) | $ [\ ]_{2}^{2}$ |
19.4.2.2 | x4 - 19x2 + 722 | $19$ | $2$ | $2$ | $2$ | $C_4$ (as 4T1) | $ [\ ]_{2}^{2}$ |
19.4.3.1 | x4 + 76 | $19$ | $4$ | $1$ | $3$ | $D_{4}$ (as 4T3) | $ [\ ]_{4}^{2}$ |
19.4.3.2 | x4 - 19 | $19$ | $4$ | $1$ | $3$ | $D_{4}$ (as 4T3) | $ [\ ]_{4}^{2}$ |