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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
7.6.0.1 | x6 + x4 + 5x3 + 4x2 + 6x + 3 | $7$ | $1$ | $6$ | $0$ | $C_6$ (as 6T1) | $[\ ]^{6}$ |
7.6.3.1 | x6 + 861x5 + 33033x4 + 1385475x3 + 277830x2 + 8232x - 1372 | $7$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
7.6.3.2 | x6 + 12x5 + 57x4 + 176x3 + 699x2 + 420x + 1787 | $7$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
7.6.4.1 | x6 + 14x3 - 245 | $7$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
7.6.4.2 | x6 - 42x3 + 147 | $7$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
7.6.4.3 | x6 + 18x5 + 117x4 + 338x3 + 477x2 + 792x + 1210 | $7$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
7.6.5.1 | x6 + 21 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.2 | x6 + 42 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.3 | x6 + 35 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.4 | x6 + 14 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.5 | x6 + 7 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
7.6.5.6 | x6 + 28 | $7$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |