$p$-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
3.9.18.2	$9$	$x^{9} + 3 x^{3} + 9 x^{2} + 9 x + 3$	$3$	$9$	$1$	$18$	$C_3^2:C_2$ (as 9T5)	$1$	$2$	$[3/2, 5/2]$	$[3/2, 5/2]_{2}$	$t + 1$	$x^{9} + 3 x^{3} + 9 x^{2} + 9 x + 3$	$[10, 3, 0]$	$[1, 1]$