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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
17.4.0.1 | x4 + 7x2 + 10x + 3 | $17$ | $1$ | $4$ | $0$ | $C_4$ (as 4T1) | $[\ ]^{4}$ |
17.4.2.1 | x4 + 338x3 + 31049x2 + 420472x + 123735 | $17$ | $2$ | $2$ | $2$ | $C_2^2$ (as 4T2) | $[\ ]_{2}^{2}$ |
17.4.2.2 | x4 - 272x2 + 867 | $17$ | $2$ | $2$ | $2$ | $C_4$ (as 4T1) | $[\ ]_{2}^{2}$ |
17.4.3.1 | x4 + 17 | $17$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |
17.4.3.2 | x4 + 34 | $17$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |
17.4.3.3 | x4 + 51 | $17$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |
17.4.3.4 | x4 + 102 | $17$ | $4$ | $1$ | $3$ | $C_4$ (as 4T1) | $[\ ]_{4}$ |