$p$-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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Label	$n$	Polynomial	$p$	$e$	$f$	$c$	Galois group	$u$	$t$	Slope content
3.11.0.1	$11$	x^11 + x^2 - x + 1	$3$	$1$	$11$	$0$	$C_{11}$ (as 11T1)	$11$	$1$	$[\ ]^{11}$
3.11.10.1	$11$	x^11 - 3	$3$	$11$	$1$	$10$	$C_{11}:C_5$ (as 11T3)	$5$	$11$	$[\ ]_{11}^{5}$