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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
19.6.0.1 | x6 + 17x3 + 17x2 + 6x + 2 | $19$ | $1$ | $6$ | $0$ | $C_6$ (as 6T1) | $[\ ]^{6}$ |
19.6.3.1 | x6 + 1444x2 - 116603 | $19$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
19.6.3.2 | x6 + 65x4 + 34x3 + 1099x2 - 1802x + 4564 | $19$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
19.6.4.1 | x6 + 304x3 - 5415 | $19$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
19.6.4.2 | x6 - 342x3 + 722 | $19$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
19.6.4.3 | x6 + 54x5 + 1168x4 + 12926x3 + 104347x2 + 738556x + 220465 | $19$ | $3$ | $2$ | $4$ | $C_6$ (as 6T1) | $[\ ]_{3}^{2}$ |
19.6.5.1 | x6 + 38 | $19$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
19.6.5.2 | x6 + 152 | $19$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
19.6.5.3 | x6 + 190 | $19$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
19.6.5.4 | x6 + 76 | $19$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
19.6.5.5 | x6 + 19 | $19$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |
19.6.5.6 | x6 + 95 | $19$ | $6$ | $1$ | $5$ | $C_6$ (as 6T1) | $[\ ]_{6}$ |