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Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
3.8.0.1 x8 - x3 + 2 $3$ $1$ $8$ $0$ $C_8$ (as 8T1) $ [\ ]^{8}$
3.8.4.1 x8 + 36x4 - 27x2 + 324 $3$ $2$ $4$ $4$ $C_4\times C_2$ (as 8T2) $ [\ ]_{2}^{4}$
3.8.4.2 x8 - 27x2 + 162 $3$ $2$ $4$ $4$ $C_8$ (as 8T1) $ [\ ]_{2}^{4}$
3.8.6.1 x8 + 9x4 + 36 $3$ $4$ $2$ $6$ $Q_8$ (as 8T5) $ [\ ]_{4}^{2}$
3.8.6.2 x8 + 4x7 + 14x6 + 28x5 + 43x4 + 44x3 + 110x2 + 92x + 22 $3$ $4$ $2$ $6$ $D_4$ (as 8T4) $ [\ ]_{4}^{2}$
3.8.6.3 x8 - 3x4 + 18 $3$ $4$ $2$ $6$ $C_8:C_2$ (as 8T7) $ [\ ]_{4}^{4}$
3.8.7.1 x8 + 3 $3$ $8$ $1$ $7$ $QD_{16}$ (as 8T8) $ [\ ]_{8}^{2}$
3.8.7.2 x8 - 3 $3$ $8$ $1$ $7$ $QD_{16}$ (as 8T8) $ [\ ]_{8}^{2}$
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