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 Num. Packets
137.18.1.0a $137$ $18$ $18$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $18$ $1$ $1$ $1$
137.9.2.9a $137$ $18$ $9$ $2$ $9$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 137 d_{0}$ $18$ $2$ $1$ $1$
137.6.3.12a $137$ $18$ $6$ $3$ $12$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 137 d_{0}$ $18$ $2$ $1$ $2$
137.3.6.15a $137$ $18$ $3$ $6$ $15$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + 137 d_{0}$ $6$ $2$ $1$ $1$
137.2.9.16a $137$ $18$ $2$ $9$ $16$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^9 + 137 d_{0}$ $6$ $2$ $1$ $2$
137.1.18.17a $137$ $18$ $1$ $18$ $17$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{18} + 137 d_{0}$ $2$ $2$ $1$ $1$
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