$p$-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
2.6.6.1	$6$	$x^{6} + 6 x^{5} + 34 x^{4} + 80 x^{3} + 204 x^{2} + 216 x + 216$	$2$	$2$	$3$	$6$	$A_4$ (as 6T4)	$3$	$1$	$[2]$	$[2, 2]^{3}$	$t^{3} + t + 1$	$x^{2} + \left(2 t + 2\right) x + 6$	$[1, 0]$	$[1]$