$p$-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
3.13.0.1	$13$	$x^{13} + 2 x + 1$	$3$	$1$	$13$	$0$	$C_{13}$ (as 13T1)	$13$	$1$	$[\ ]$	$[\ ]^{13}$	$t^{13} + 2 t + 1$	$x - 3$	$[0]$	$[]$
3.13.12.1	$13$	$x^{13} + 3$	$3$	$13$	$1$	$12$	$C_{13}:C_3$ (as 13T3)	$3$	$13$	$[\ ]$	$[\ ]_{13}^{3}$	$t + 1$	$x^{13} + 3$	$[0]$	$[3]$