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The results below are complete, since the LMFDB contains all families of p-adic fields of degree at most 47 and residue characteristic at most 199

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Residue characteristic $p$	Degree $n$	Ramification index $e$	Residue field degree $f$	Discriminant exponent $c$

Mass	Ambiguity	Field count	Wild segments	Herbrand invariant

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Results (5 matches)

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Label	$p$	$n$	$f$	$e$	$c$	Abs. Artin slopes	Swan slopes	Means	Rams	Generic poly	Ambiguity	Field count	Mass	Mass (absolute)	Mass stored	Mass found	Wild segments	Num. Packets
199.16.1.0a	$199$	$16$	$16$	$1$	$0$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$16$	$1$	$1$	$1/16$	$1/16$	$100\%$	$0$	$1$
199.8.2.8a	$199$	$16$	$8$	$2$	$8$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 199 d_{0}$	$16$	$2$	$1$	$1/8$	$1/8$	$100\%$	$0$	$2$
199.4.4.12a	$199$	$16$	$4$	$4$	$12$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 199 d_{0}$	$16$	$3$	$1$	$1/4$	$1/4$	$100\%$	$0$	$3$
199.2.8.14a	$199$	$16$	$2$	$8$	$14$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^8 + 199 d_{0}$	$16$	$5$	$1$	$1/2$	$1/2$	$100\%$	$0$	$4$
199.1.16.15a	$199$	$16$	$1$	$16$	$15$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{16} + 199 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$	$1$

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