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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.
13.10.0.1 $x^{10} + 7 x^{5} + 5 x^{4} + 8 x^{3} + x^{2} + x + 2$ $13$ $1$ $10$ $0$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]^{10}$ $t^{10} + 7 t^{5} + 5 t^{4} + 8 t^{3} + t^{2} + t + 2$ $x - 13$
13.10.5.1 $x^{10} + 650 x^{9} + 169065 x^{8} + 22003800 x^{7} + 1434642698 x^{6} + 37701182242 x^{5} + 18651037600 x^{4} + 3808243140 x^{3} + 6315953361 x^{2} + 164195122608 x + 421659070668$ $13$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + 4 t + 11$ $x^{2} + 130 x + 13$
13.10.5.2 $x^{10} + 114244 x^{2} - 4084223$ $13$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + 4 t + 11$ $x^{2} + 13 t$
13.10.8.1 $x^{10} + 60 x^{9} + 1450 x^{8} + 17760 x^{7} + 112360 x^{6} + 319418 x^{5} + 225500 x^{4} + 89240 x^{3} + 226880 x^{2} + 1274440 x + 3013497$ $13$ $5$ $2$ $8$ $F_5$ (as 10T4) $[\ ]$ $[\ ]_{5}^{4}$ $t^{2} + 12 t + 2$ $x^{5} + 13$
13.10.9.1 $x^{10} + 13$ $13$ $10$ $1$ $9$ $F_{5}\times C_2$ (as 10T5) $[\ ]$ $[\ ]_{10}^{4}$ $t + 11$ $x^{10} + 13$
13.10.9.2 $x^{10} + 26$ $13$ $10$ $1$ $9$ $F_{5}\times C_2$ (as 10T5) $[\ ]$ $[\ ]_{10}^{4}$ $t + 11$ $x^{10} + 26$
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