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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 (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
41.44.1.0a $41$ $44$ $44$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $44$ $0$ $1$ $0$
41.22.2.22a $41$ $44$ $22$ $2$ $22$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 41 d_{0}$ $44$ $0$ $1$ $0$
41.11.4.33a $41$ $44$ $11$ $4$ $33$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 41 d_{0}$ $44$ $0$ $1$ $0$
41.4.11.40a $41$ $44$ $4$ $11$ $40$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{11} + 41$ $4$ $0$ $1$ $0$
41.2.22.42a $41$ $44$ $2$ $22$ $42$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{22} + 41 d_{0}$ $4$ $0$ $1$ $0$
41.1.44.43a $41$ $44$ $1$ $44$ $43$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{44} + 41 d_{0}$ $4$ $0$ $1$ $0$
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