$p$-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
2.9.6.1	$9$	$x^{9} + 3 x^{7} + 9 x^{6} + 3 x^{5} - 26 x^{3} + 9 x^{2} - 27 x + 29$	$2$	$3$	$3$	$6$	$S_3\times C_3$ (as 9T4)	$6$	$3$	$[\ ]$	$[\ ]_{3}^{6}$	$t^{3} + t + 1$	$x^{3} + 2$	$[0]$	$[2]$