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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 (6 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
17.12.1.0a	$17$	$12$	$12$	$1$	$0$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$12$	$1$	$1$	$1/12$	$1/12$	$100\%$	$0$	$1$
17.6.2.6a	$17$	$12$	$6$	$2$	$6$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 17 d_{0}$	$12$	$2$	$1$	$1/6$	$1/6$	$100\%$	$0$	$2$
17.4.3.8a	$17$	$12$	$4$	$3$	$8$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 17 d_{0}$	$12$	$2$	$1$	$1/4$	$1/4$	$100\%$	$0$	$2$
17.3.4.9a	$17$	$12$	$3$	$4$	$9$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 17 d_{0}$	$12$	$4$	$1$	$1/3$	$1/3$	$100\%$	$0$	$1$
17.2.6.10a	$17$	$12$	$2$	$6$	$10$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^6 + 17 d_{0}$	$12$	$4$	$1$	$1/2$	$1/2$	$100\%$	$0$	$4$
17.1.12.11a	$17$	$12$	$1$	$12$	$11$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{12} + 17 d_{0}$	$4$	$4$	$1$	$1$	$1$	$100\%$	$0$	$1$

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