Refine search
Results (4 matches)
Download displayed columns for resultsLabel | Polynomial | $p$ | $e$ | $f$ | $c$ | Galois group | Slope content |
---|---|---|---|---|---|---|---|
17.15.0.1 | $x^{15} + 4 x^{6} + 4 x^{5} + 16 x^{4} + 6 x^{3} + 14 x^{2} + 14 x + 14$ | $17$ | $1$ | $15$ | $0$ | $C_{15}$ (as 15T1) | $[\ ]^{15}$ |
17.15.10.1 | $x^{15} + 85 x^{12} + 3 x^{11} + 42 x^{10} + 2890 x^{9} - 765 x^{8} - 21417 x^{7} + 49214 x^{6} - 4614 x^{5} + 546465 x^{4} + 424746 x^{3} + 247392 x^{2} - 1027674 x + 1410480$ | $17$ | $3$ | $5$ | $10$ | $S_3 \times C_5$ (as 15T4) | $[\ ]_{3}^{10}$ |
17.15.12.1 | $x^{15} + 5 x^{13} + 70 x^{12} + 10 x^{11} + 331 x^{10} + 1970 x^{9} + 165 x^{8} - 15535 x^{7} + 28060 x^{6} + 10318 x^{5} + 504940 x^{4} + 183500 x^{3} + 248865 x^{2} - 505940 x + 539184$ | $17$ | $5$ | $3$ | $12$ | $F_5\times C_3$ (as 15T8) | $[\ ]_{5}^{12}$ |
17.15.14.1 | $x^{15} + 17$ | $17$ | $15$ | $1$ | $14$ | $C_{15} : C_4$ (as 15T6) | $[\ ]_{15}^{4}$ |