$p$-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
3.8.7.1	$8$	$x^{8} + 3$	$3$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$t + 1$	$x^{8} + 3$	$[0]$	$[2]$
3.8.7.2	$8$	$x^{8} + 6$	$3$	$8$	$1$	$7$	$QD_{16}$ (as 8T8)	$2$	$8$	$[\ ]$	$[\ ]_{8}^{2}$	$t + 1$	$x^{8} + 6$	$[0]$	$[2]$