$p$-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
7.9.0.1	x^9 + x^2 - 6x + 2	$7$	$1$	$9$	$0$	$C_9$ (as 9T1)	$ [\ ]^{9}$
7.9.6.1	x^9 + 42x^6 + 539x^3 + 2744	$7$	$3$	$3$	$6$	$C_3^2$ (as 9T2)	$ [\ ]_{3}^{3}$
7.9.6.2	x^9 - 49x^3 + 686	$7$	$3$	$3$	$6$	$C_9$ (as 9T1)	$ [\ ]_{3}^{3}$
7.9.6.3	x^9 - 14x^6 + 49x^3 - 1372	$7$	$3$	$3$	$6$	$C_9$ (as 9T1)	$ [\ ]_{3}^{3}$
7.9.8.1	x^9 + 14	$7$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$
7.9.8.2	x^9 - 7	$7$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$
7.9.8.3	x^9 - 28	$7$	$9$	$1$	$8$	$C_9:C_3$ (as 9T6)	$ [\ ]_{9}^{3}$