$p$-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
3.9.12.21	$9$	$x^{9} + 6 x^{4} + 3$	$3$	$9$	$1$	$12$	$C_3^2:C_4$ (as 9T9)	$2$	$2$	$[3/2, 3/2]$	$[3/2, 3/2]_{2}^{2}$	$t + 1$	$x^{9} + 6 x^{4} + 3$	$[4, 4, 0]$	$[2]$
3.9.16.4	$9$	$x^{9} + 3 x^{8} + 3$	$3$	$9$	$1$	$16$	$C_3^2:C_4$ (as 9T9)	$4$	$1$	$[2, 2]$	$[2, 2]^{4}$	$t + 1$	$x^{9} + 3 x^{8} + 3$	$[8, 8, 0]$	$[4]$