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Results (6 matches)

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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
17.10.0.1 $x^{10} + 13 x^{5} + 6 x^{4} + 5 x^{3} + 9 x^{2} + 12 x + 3$ $17$ $1$ $10$ $0$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]^{10}$ $t^{10} + 13 t^{5} + 6 t^{4} + 5 t^{3} + 9 t^{2} + 12 t + 3$ $x - 17$
17.10.5.1 $x^{10} + 765 x^{9} + 234175 x^{8} + 35867790 x^{7} + 2751847887 x^{6} + 85060199629 x^{5} + 46781658675 x^{4} + 10404827560 x^{3} + 4386754121 x^{2} + 122151890859 x + 1178806975473$ $17$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + t + 14$ $x^{2} + 153 x + 17$
17.10.5.2 $x^{10} + 83521 x^{2} - 19877998$ $17$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + t + 14$ $x^{2} + 17 t$
17.10.8.1 $x^{10} + 80 x^{9} + 2575 x^{8} + 41920 x^{7} + 350810 x^{6} + 1298690 x^{5} + 1053790 x^{4} + 419780 x^{3} + 741365 x^{2} + 5317450 x + 16794084$ $17$ $5$ $2$ $8$ $F_5$ (as 10T4) $[\ ]$ $[\ ]_{5}^{4}$ $t^{2} + 16 t + 3$ $x^{5} + 17$
17.10.9.1 $x^{10} + 17$ $17$ $10$ $1$ $9$ $F_{5}\times C_2$ (as 10T5) $[\ ]$ $[\ ]_{10}^{4}$ $t + 14$ $x^{10} + 17$
17.10.9.2 $x^{10} + 51$ $17$ $10$ $1$ $9$ $F_{5}\times C_2$ (as 10T5) $[\ ]$ $[\ ]_{10}^{4}$ $t + 14$ $x^{10} + 51$
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