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
17.6.1.0a $17$ $6$ $6$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $6$ $1$ $1$ $1$
17.3.2.3a $17$ $6$ $3$ $2$ $3$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 17 d_{0}$ $6$ $2$ $1$ $1$
17.2.3.4a $17$ $6$ $2$ $3$ $4$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 17 d_{0}$ $6$ $2$ $1$ $2$
17.1.6.5a $17$ $6$ $1$ $6$ $5$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + 17 d_{0}$ $2$ $2$ $1$ $1$
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