$p$-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
3.3.3.1	$3$	$x^{3} + 6 x + 3$	$3$	$3$	$1$	$3$	$S_3$ (as 3T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 1$	$x^{3} + 6 x + 3$	$[1, 0]$	$[1]$
3.3.3.2	$3$	$x^{3} + 3 x + 3$	$3$	$3$	$1$	$3$	$S_3$ (as 3T2)	$1$	$2$	$[3/2]$	$[3/2]_{2}$	$t + 1$	$x^{3} + 3 x + 3$	$[1, 0]$	$[1]$