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Label Polynomial $p$ $e$ $f$ $c$ Galois group Visible slopes Slope content Unram. Ext. Eisen. Poly.
19.5.0.1 $x^{5} + 5 x + 17$ $19$ $1$ $5$ $0$ $C_5$ (as 5T1) $[\ ]$ $[\ ]^{5}$ $t^{5} + 5 t + 17$ $x - 19$
19.5.4.1 $x^{5} + 19$ $19$ $5$ $1$ $4$ $D_{5}$ (as 5T2) $[\ ]$ $[\ ]_{5}^{2}$ $t + 17$ $x^{5} + 19$
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