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 (8 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
5.24.1.0a $5$ $24$ $24$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $24$ $0$ $1$ $0$
5.12.2.12a $5$ $24$ $12$ $2$ $12$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 5 d_{0}$ $24$ $0$ $1$ $0$
5.8.3.16a $5$ $24$ $8$ $3$ $16$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 5 d_{0}$ $24$ $0$ $1$ $0$
5.6.4.18a $5$ $24$ $6$ $4$ $18$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^4 + 5 d_{0}$ $24$ $0$ $1$ $0$
5.4.6.20a $5$ $24$ $4$ $6$ $20$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + 5 d_{0}$ $24$ $0$ $1$ $0$
5.3.8.21a $5$ $24$ $3$ $8$ $21$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^8 + 5 d_{0}$ $12$ $0$ $1$ $0$
5.2.12.22a $5$ $24$ $2$ $12$ $22$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{12} + 5 d_{0}$ $24$ $0$ $1$ $0$
5.1.24.23a $5$ $24$ $1$ $24$ $23$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{24} + 5 d_{0}$ $4$ $0$ $1$ $0$
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