$p$-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
7.11.0.1	$11$	x^11 - 2x + 4	$7$	$1$	$11$	$0$	$C_{11}$ (as 11T1)	$11$	$1$	$[\ ]^{11}$
7.11.10.1	$11$	x^11 - 7	$7$	$11$	$1$	$10$	$F_{11}$ (as 11T4)	$10$	$11$	$[\ ]_{11}^{10}$