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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
7.18.1.0a	$7$	$18$	$18$	$1$	$0$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$18$	$1$	$1$	$1/18$	$1/18$	$100\%$	$0$	$1$
7.9.2.9a	$7$	$18$	$9$	$2$	$9$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 7 d_{0}$	$18$	$2$	$1$	$1/9$	$1/9$	$100\%$	$0$	$1$
7.6.3.12a	$7$	$18$	$6$	$3$	$12$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 7 d_{0}$	$18$	$3$	$1$	$1/6$	$1/6$	$100\%$	$0$	$2$
7.3.6.15a	$7$	$18$	$3$	$6$	$15$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^6 + 7 d_{0}$	$18$	$6$	$1$	$1/3$	$1/3$	$100\%$	$0$	$2$
7.2.9.16a	$7$	$18$	$2$	$9$	$16$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^9 + 7 d_{0}$	$6$	$3$	$1$	$1/2$	$1/2$	$100\%$	$0$	$1$
7.1.18.17a	$7$	$18$	$1$	$18$	$17$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{18} + 7 d_{0}$	$6$	$6$	$1$	$1$	$1$	$100\%$	$0$	$1$

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