Learn more

Refine search


Results (8 matches)

  displayed columns for results
Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
19.10.0.1 $x^{10} + 18 x^{5} + 13 x^{4} + 17 x^{3} + 3 x^{2} + 4 x + 2$ $19$ $1$ $10$ $0$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]^{10}$ $t^{10} + 18 t^{5} + 13 t^{4} + 17 t^{3} + 3 t^{2} + 4 t + 2$ $x - 19$
19.10.5.1 $x^{10} + 651605 x^{2} - 42093683$ $19$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + 5 t + 17$ $x^{2} + 19 t$
19.10.5.2 $x^{10} + 95 x^{8} + 3620 x^{6} + 34 x^{5} + 67640 x^{4} - 6460 x^{3} + 633580 x^{2} + 61540 x + 2545453$ $19$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + 5 t + 17$ $x^{2} + 19$
19.10.8.1 $x^{10} + 90 x^{9} + 3250 x^{8} + 59040 x^{7} + 544360 x^{6} + 2125046 x^{5} + 1090430 x^{4} + 296960 x^{3} + 1113560 x^{2} + 9728680 x + 34800945$ $19$ $5$ $2$ $8$ $D_5$ (as 10T2) $[\ ]$ $[\ ]_{5}^{2}$ $t^{2} + 18 t + 2$ $x^{5} + 19$
19.10.8.2 $x^{10} - 5396 x^{5} - 21660$ $19$ $5$ $2$ $8$ $D_5\times C_5$ (as 10T6) $[\ ]$ $[\ ]_{5}^{10}$ $t^{2} + 18 t + 2$ $x^{5} + 304 t + 38$
19.10.8.3 $x^{10} - 5510 x^{5} - 1650131$ $19$ $5$ $2$ $8$ $D_5\times C_5$ (as 10T6) $[\ ]$ $[\ ]_{5}^{10}$ $t^{2} + 18 t + 2$ $x^{5} + 342 t + 323$
19.10.9.1 $x^{10} + 38$ $19$ $10$ $1$ $9$ $D_{10}$ (as 10T3) $[\ ]$ $[\ ]_{10}^{2}$ $t + 17$ $x^{10} + 38$
19.10.9.2 $x^{10} + 19$ $19$ $10$ $1$ $9$ $D_{10}$ (as 10T3) $[\ ]$ $[\ ]_{10}^{2}$ $t + 17$ $x^{10} + 19$
  displayed columns for results