$p$-adic field search results

Degree	Residue characteristic	Galois group	Galois unramified degree
Ramification index	Discriminant exponent	Inertia subgroup	Galois tame degree
Residue field degree	Top slope	Wild inertia subgroup

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Results (3 matches)

 

Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Slope content
5.9.0.1	$9$	x^9 + x^2 - 2x + 2	$5$	$1$	$9$	$0$	$C_9$ (as 9T1)	$9$	$1$	$[\ ]^{9}$
5.9.6.1	$9$	x^9 - 25x^3 + 250	$5$	$3$	$3$	$6$	$S_3\times C_3$ (as 9T4)	$6$	$3$	$[\ ]_{3}^{6}$
5.9.8.1	$9$	x^9 - 5	$5$	$9$	$1$	$8$	$(C_9:C_3):C_2$ (as 9T10)	$6$	$9$	$[\ ]_{9}^{6}$