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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
3.10.0.1 | x10 + 2x6 + 2x5 + 2x4 + x + 2 | $3$ | $1$ | $10$ | $0$ | $C_{10}$ (as 10T1) | $[\ ]^{10}$ |
3.10.5.1 | x10 + 162x2 - 243 | $3$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $[\ ]_{2}^{5}$ |
3.10.5.2 | x10 + 15x8 + 94x6 + 2x5 + 210x4 - 60x3 + 229x2 + 94x + 364 | $3$ | $2$ | $5$ | $5$ | $C_{10}$ (as 10T1) | $[\ ]_{2}^{5}$ |
3.10.8.1 | x10 + 10x9 + 50x8 + 160x7 + 360x6 + 598x5 + 750x4 + 640x3 + 280x2 + 40x + 17 | $3$ | $5$ | $2$ | $8$ | $F_5$ (as 10T4) | $[\ ]_{5}^{4}$ |
3.10.9.1 | x10 + 6 | $3$ | $10$ | $1$ | $9$ | $F_{5}\times C_2$ (as 10T5) | $[\ ]_{10}^{4}$ |
3.10.9.2 | x10 + 3 | $3$ | $10$ | $1$ | $9$ | $F_{5}\times C_2$ (as 10T5) | $[\ ]_{10}^{4}$ |