$p$-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
3.9.10.1	$9$	$x^{9} + 3 x^{2} + 3$	$3$	$9$	$1$	$10$	$C_3^2:Q_8$ (as 9T14)	$2$	$4$	$[5/4, 5/4]$	$[5/4, 5/4]_{4}^{2}$	$t + 1$	$x^{9} + 3 x^{2} + 3$	$[2, 2, 0]$	$[2]$
3.9.10.2	$9$	$x^{9} + 6 x^{2} + 3$	$3$	$9$	$1$	$10$	$S_3^2:C_2$ (as 9T16)	$2$	$4$	$[5/4, 5/4]$	$[5/4, 5/4]_{4}^{2}$	$t + 1$	$x^{9} + 6 x^{2} + 3$	$[2, 2, 0]$	$[1]$