$p$-adic field search results

Degree	Discriminant exponent	Galois group
Residue characteristic	Ramification index	Top slope

Results (displaying both matches)

 

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
3.11.0.1	x^11 + x^2 - x + 1	$3$	$1$	$11$	$0$	$C_{11}$ (as 11T1)	$ [\ ]^{11}$
3.11.10.1	x^11 - 3	$3$	$11$	$1$	$10$	$C_{11}:C_5$ (as 11T3)	$ [\ ]_{11}^{5}$