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 (4 matches)

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Label $p$ $n$ $f$ $e$ $c$ Abs. Artin slopes Swan slopes Means Rams Generic poly Ambiguity Field count Mass Num. Packets
31.15.1.0a $31$ $15$ $15$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $15$ $1$ $1$ $1$
31.5.3.10a $31$ $15$ $5$ $3$ $10$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 31 d_{0}$ $15$ $3$ $1$ $1$
31.3.5.12a $31$ $15$ $3$ $5$ $12$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + 31 d_{0}$ $15$ $5$ $1$ $1$
31.1.15.14a $31$ $15$ $1$ $15$ $14$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{15} + 31 d_{0}$ $15$ $15$ $1$ $1$
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