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
151.20.1.0a $151$ $20$ $20$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $20$ $1$ $1$ $1$
151.10.2.10a $151$ $20$ $10$ $2$ $10$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 151 d_{0}$ $20$ $2$ $1$ $2$
151.5.4.15a $151$ $20$ $5$ $4$ $15$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 151 d_{0}$ $10$ $2$ $1$ $1$
151.4.5.16a $151$ $20$ $4$ $5$ $16$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + 151 d_{0}$ $20$ $5$ $1$ $1$
151.2.10.18a $151$ $20$ $2$ $10$ $18$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + 151 d_{0}$ $20$ $10$ $1$ $2$
151.1.20.19a $151$ $20$ $1$ $20$ $19$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{20} + 151 d_{0}$ $10$ $10$ $1$ $1$
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