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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 (9 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
17.36.1.0a $17$ $36$ $36$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $36$ $0$ $1$ $0$
17.18.2.18a $17$ $36$ $18$ $2$ $18$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 17 d_{0}$ $36$ $0$ $1$ $0$
17.12.3.24a $17$ $36$ $12$ $3$ $24$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 17 d_{0}$ $36$ $0$ $1$ $0$
17.9.4.27a $17$ $36$ $9$ $4$ $27$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 17 d_{0}$ $36$ $0$ $1$ $0$
17.6.6.30a $17$ $36$ $6$ $6$ $30$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + 17 d_{0}$ $36$ $0$ $1$ $0$
17.4.9.32a $17$ $36$ $4$ $9$ $32$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^9 + 17 d_{0}$ $36$ $0$ $1$ $0$
17.3.12.33a $17$ $36$ $3$ $12$ $33$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{12} + 17 d_{0}$ $12$ $0$ $1$ $0$
17.2.18.34a $17$ $36$ $2$ $18$ $34$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{18} + 17 d_{0}$ $36$ $0$ $1$ $0$
17.1.36.35a $17$ $36$ $1$ $36$ $35$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{36} + 17 d_{0}$ $4$ $0$ $1$ $0$
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