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Download displayed columns for resultsLabel | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
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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) | $[\ ]_{2}^{4}$ |