$p$-adic field search results

Results (displaying both matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
19.13.0.1	$13$	$x^{13} + 11 x + 17$	$19$	$1$	$13$	$0$	$C_{13}$ (as 13T1)	$13$	$1$	$[\ ]$	$[\ ]^{13}$	$t^{13} + 11 t + 17$	$x - 19$	$[0]$	$[]$
19.13.12.1	$13$	$x^{13} + 19$	$19$	$13$	$1$	$12$	$F_{13}$ (as 13T6)	$12$	$13$	$[\ ]$	$[\ ]_{13}^{12}$	$t + 17$	$x^{13} + 19$	$[0]$	$[12]$