$p$-adic field search results

Degree	Discriminant exponent	Galois group
Residue characteristic	Ramification index	Top slope

Results (7 matches)

 

Label	Polynomial	$p$	$e$	$f$	$c$	Galois group	Slope content
2.2.0.1	x^2 - x + 1	$2$	$1$	$2$	$0$	$C_2$ (as 2T1)	$ [\ ]^{2}$
2.2.2.1	x^2 + 2x + 2	$2$	$2$	$1$	$2$	$C_2$ (as 2T1)	$ [2]$
2.2.2.2	x^2 + 2x - 2	$2$	$2$	$1$	$2$	$C_2$ (as 2T1)	$ [2]$
2.2.3.1	x^2 + 14	$2$	$2$	$1$	$3$	$C_2$ (as 2T1)	$ [3]$
2.2.3.2	x^2 + 6	$2$	$2$	$1$	$3$	$C_2$ (as 2T1)	$ [3]$
2.2.3.3	x^2 + 2	$2$	$2$	$1$	$3$	$C_2$ (as 2T1)	$ [3]$
2.2.3.4	x^2 + 10	$2$	$2$	$1$	$3$	$C_2$ (as 2T1)	$ [3]$