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Download displayed columns for resultsLabel | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
2.12.8.1 | $x^{12} + 11 x^{9} + 3 x^{8} - 9 x^{6} - 90 x^{5} + 3 x^{4} - 27 x^{3} + 135 x^{2} + 27 x + 55$ | $2$ | $3$ | $4$ | $8$ | $C_3 : C_4$ (as 12T5) | $[\ ]_{3}^{4}$ |
2.12.8.2 | $x^{12} - 8 x^{3} + 16$ | $2$ | $3$ | $4$ | $8$ | $C_3\times (C_3 : C_4)$ (as 12T19) | $[\ ]_{3}^{12}$ |