$p$-adic family invariants (reviewed)

The following extension invariants are the same for all $L/K$ in a $p$-adic family $I/K$:

• the residue field characteristic $p$,
• the degree $d$,
• the base field $K$,
• the ramification index $e$,
• the residue field degree $f$.
• the discriminant exponent $c$,
• the Artin slopes $[\tilde{s}_1,\dots,\tilde{s}_w]$,
• the Swan slopes $[s_1,\dots,s_w]$,
• the means $\langle m_1,\dots,m_w\rangle$,
• the rams $(r_1,\dots,r_w)$.

The following data is associated to the family as a whole:

• the field count $N$,
• the ambiguity $C$,
• the mass $M$,
• the absolute mass $M_{\rm abs}$,