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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.
23.10.0.1 $x^{10} + 17 x^{5} + 5 x^{4} + 15 x^{3} + 6 x^{2} + x + 5$ $23$ $1$ $10$ $0$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]^{10}$ $t^{10} + 17 t^{5} + 5 t^{4} + 15 t^{3} + 6 t^{2} + t + 5$ $x - 23$
23.10.5.1 $x^{10} - 3335 x^{9} + 21724972 x^{8} + 32175051716 x^{7} + 187094353927946 x^{6} + 562900511451090140 x^{5} + 3155504389465566 x^{4} - 101811190699272 x^{3} - 1679305412607 x^{2} - 10291712457 x - 115854174$ $23$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + 3 t + 18$ $x^{2} + \left(345 t^{4} + 161 t^{3} + 253 t^{2} + 414 t + 161\right) x + 23 t$
23.10.5.2 $x^{10} + 115 x^{8} + 5296 x^{6} + 36 x^{5} + 120980 x^{4} - 8280 x^{3} + 1383344 x^{2} + 95328 x + 6509876$ $23$ $2$ $5$ $5$ $C_{10}$ (as 10T1) $[\ ]$ $[\ ]_{2}^{5}$ $t^{5} + 3 t + 18$ $x^{2} + 23$
23.10.8.1 $x^{10} + 105 x^{9} + 4435 x^{8} + 94710 x^{7} + 1038805 x^{6} + 5025997 x^{5} + 5196440 x^{4} + 2466880 x^{3} + 2611955 x^{2} + 21422390 x + 88673277$ $23$ $5$ $2$ $8$ $F_5$ (as 10T4) $[\ ]$ $[\ ]_{5}^{4}$ $t^{2} + 21 t + 5$ $x^{5} + 23$
23.10.9.1 $x^{10} + 115$ $23$ $10$ $1$ $9$ $F_{5}\times C_2$ (as 10T5) $[\ ]$ $[\ ]_{10}^{4}$ $t + 18$ $x^{10} + 115$
23.10.9.2 $x^{10} + 23$ $23$ $10$ $1$ $9$ $F_{5}\times C_2$ (as 10T5) $[\ ]$ $[\ ]_{10}^{4}$ $t + 18$ $x^{10} + 23$
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