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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
19.10.0.1 | x10 + x2 - 2x + 14 | $19$ | $1$ | $10$ | $0$ | $C_{10}$ (as 10T1) | $[\ ]^{10}$ |
19.10.5.1 | x10 - 722x6 + 130321x2 - 61902475 | $19$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $[\ ]_{2}^{5}$ |
19.10.5.2 | x10 - 130321x2 + 12380495 | $19$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $[\ ]_{2}^{5}$ |
19.10.8.1 | x10 - 209x5 + 11552 | $19$ | $5$ | $2$ | $8$ | $D_5$ (as 10T2) | $[\ ]_{5}^{2}$ |
19.10.8.2 | x10 - 19x5 + 722 | $19$ | $5$ | $2$ | $8$ | $D_5\times C_5$ (as 10T6) | $[\ ]_{5}^{10}$ |
19.10.8.3 | x10 + 57x5 + 1444 | $19$ | $5$ | $2$ | $8$ | $D_5\times C_5$ (as 10T6) | $[\ ]_{5}^{10}$ |
19.10.9.1 | x10 - 19 | $19$ | $10$ | $1$ | $9$ | $D_{10}$ (as 10T3) | $[\ ]_{10}^{2}$ |
19.10.9.2 | x10 + 76 | $19$ | $10$ | $1$ | $9$ | $D_{10}$ (as 10T3) | $[\ ]_{10}^{2}$ |