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Label | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
23.6.0.1 | x6 + x4 + 9x3 + 9x2 + x + 5 | $23$ | $1$ | $6$ | $0$ | $C_6$ (as 6T1) | $[\ ]^{6}$ |
23.6.3.1 | x6 + 1058x2 - 219006 | $23$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
23.6.3.2 | x6 + 73x4 + 36x3 + 1591x2 - 2412x + 10467 | $23$ | $2$ | $3$ | $3$ | $C_6$ (as 6T1) | $[\ ]_{2}^{3}$ |
23.6.4.1 | x6 + 63x5 + 1338x4 + 9937x3 + 8139x2 + 31314x + 206412 | $23$ | $3$ | $2$ | $4$ | $S_3$ (as 6T2) | $[\ ]_{3}^{2}$ |
23.6.4.2 | x6 - 483x3 + 2645 | $23$ | $3$ | $2$ | $4$ | $S_3\times C_3$ (as 6T5) | $[\ ]_{3}^{6}$ |
23.6.5.1 | x6 + 115 | $23$ | $6$ | $1$ | $5$ | $D_{6}$ (as 6T3) | $[\ ]_{6}^{2}$ |
23.6.5.2 | x6 + 23 | $23$ | $6$ | $1$ | $5$ | $D_{6}$ (as 6T3) | $[\ ]_{6}^{2}$ |