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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
7.6.0.1 | x6 + 3x2 - x + 5 | $7$ | $1$ | $6$ | $0$ | $C_6$ (as 6T1) | $[\ ]^{6}$ |
7.6.3.1 | x6 - 14x4 + 49x2 - 1372 | $7$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
7.6.3.2 | x6 - 49x2 + 686 | $7$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
7.6.4.1 | x6 + 35x3 + 441 | $7$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
7.6.4.2 | x6 - 7x3 + 147 | $7$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
7.6.4.3 | x6 + 56x3 + 1323 | $7$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
7.6.5.1 | x6 - 28 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.2 | x6 - 7 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.3 | x6 - 112 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.4 | x6 + 14 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.5 | x6 + 56 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.6 | x6 + 224 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |