↑

Learn more

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

Refine search

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

Mass	Ambiguity	Field count	Wild segments	Herbrand invariant

				Sort order	Select

Results (6 matches)

Download displayed columns for results to

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
7.20.1.0a	$7$	$20$	$20$	$1$	$0$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$20$	$1$	$1$	$1/20$	$1/20$	$100\%$	$0$	$1$
7.10.2.10a	$7$	$20$	$10$	$2$	$10$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 7 d_{0}$	$20$	$2$	$1$	$1/10$	$1/10$	$100\%$	$0$	$2$
7.5.4.15a	$7$	$20$	$5$	$4$	$15$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 7 d_{0}$	$10$	$2$	$1$	$1/5$	$1/5$	$100\%$	$0$	$1$
7.4.5.16a	$7$	$20$	$4$	$5$	$16$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^5 + 7 d_{0}$	$20$	$2$	$1$	$1/4$	$1/4$	$100\%$	$0$	$2$
7.2.10.18a	$7$	$20$	$2$	$10$	$18$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{10} + 7 d_{0}$	$4$	$2$	$1$	$1/2$	$1/2$	$100\%$	$0$	$2$
7.1.20.19a	$7$	$20$	$1$	$20$	$19$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{20} + 7 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$	$1$

Download displayed columns for results to