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Results (8 matches)
Download displayed columns for resultsLabel | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
3.8.0.1 | $x^{8} + 2 x^{5} + x^{4} + 2 x^{2} + 2 x + 2$ | $3$ | $1$ | $8$ | $0$ | $C_8$ (as 8T1) | $[\ ]^{8}$ |
3.8.4.1 | $x^{8} + 4 x^{7} + 16 x^{6} + 36 x^{5} + 94 x^{4} + 116 x^{3} + 144 x^{2} + 36 x + 229$ | $3$ | $2$ | $4$ | $4$ | $C_4\times C_2$ (as 8T2) | $[\ ]_{2}^{4}$ |
3.8.4.2 | $x^{8} - 6 x^{6} + 162$ | $3$ | $2$ | $4$ | $4$ | $C_8$ (as 8T1) | $[\ ]_{2}^{4}$ |
3.8.6.1 | $x^{8} + 9$ | $3$ | $4$ | $2$ | $6$ | $Q_8$ (as 8T5) | $[\ ]_{4}^{2}$ |
3.8.6.2 | $x^{8} + 6 x^{5} + 6 x^{4} + 18 x^{2} + 18 x + 9$ | $3$ | $4$ | $2$ | $6$ | $D_4$ (as 8T4) | $[\ ]_{4}^{2}$ |
3.8.6.3 | $x^{8} - 6 x^{4} + 18$ | $3$ | $4$ | $2$ | $6$ | $C_8:C_2$ (as 8T7) | $[\ ]_{4}^{4}$ |
3.8.7.1 | $x^{8} + 3$ | $3$ | $8$ | $1$ | $7$ | $QD_{16}$ (as 8T8) | $[\ ]_{8}^{2}$ |
3.8.7.2 | $x^{8} + 6$ | $3$ | $8$ | $1$ | $7$ | $QD_{16}$ (as 8T8) | $[\ ]_{8}^{2}$ |