$p$-adic field search results

Results (unique match)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Visible slopes	Slope content	Unram. Ext.	Eisen. Poly.	Ind. of Insep.	Assoc. Inertia
3.8.0.1	$8$	$x^{8} + 2 x^{5} + x^{4} + 2 x^{2} + 2 x + 2$	$3$	$1$	$8$	$0$	$C_8$ (as 8T1)	$8$	$1$	$[\ ]$	$[\ ]^{8}$	$t^{8} + 2 t^{5} + t^{4} + 2 t^{2} + 2 t + 2$	$x - 3$	$[0]$	$[]$