$p$-adic field search results

Degree	Discriminant exponent	Galois group
Residue characteristic	Ramification index	Top slope

Results (6 matches)

 

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
11.5.0.1	x^5 + x^2 - x + 5	$11$	$1$	$5$	$0$	$C_5$ (as 5T1)	$ [\ ]^{5}$
11.5.4.1	x^5 + 297	$11$	$5$	$1$	$4$	$C_5$ (as 5T1)	$ [\ ]_{5}$
11.5.4.2	x^5 - 891	$11$	$5$	$1$	$4$	$C_5$ (as 5T1)	$ [\ ]_{5}$
11.5.4.3	x^5 + 33	$11$	$5$	$1$	$4$	$C_5$ (as 5T1)	$ [\ ]_{5}$
11.5.4.4	x^5 - 11	$11$	$5$	$1$	$4$	$C_5$ (as 5T1)	$ [\ ]_{5}$
11.5.4.5	x^5 - 99	$11$	$5$	$1$	$4$	$C_5$ (as 5T1)	$ [\ ]_{5}$