$p$-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
13.9.0.1	x^9 - 2x + 2	$13$	$1$	$9$	$0$	$C_9$ (as 9T1)	$ [\ ]^{9}$
13.9.6.1	x^9 + 234x^6 + 16900x^3 + 474552	$13$	$3$	$3$	$6$	$C_3^2$ (as 9T2)	$ [\ ]_{3}^{3}$
13.9.6.2	x^9 - 338x^3 + 13182	$13$	$3$	$3$	$6$	$C_9$ (as 9T1)	$ [\ ]_{3}^{3}$
13.9.6.3	x^9 - 52x^6 + 676x^3 - 79092	$13$	$3$	$3$	$6$	$C_9$ (as 9T1)	$ [\ ]_{3}^{3}$
13.9.8.1	x^9 + 26	$13$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$
13.9.8.2	x^9 - 13	$13$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$
13.9.8.3	x^9 - 52	$13$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$