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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 (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
97.30.1.0a $97$ $30$ $30$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $30$ $0$ $1$ $0$
97.15.2.15a $97$ $30$ $15$ $2$ $15$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^2 + 97 d_{0}$ $30$ $0$ $1$ $0$
97.10.3.20a $97$ $30$ $10$ $3$ $20$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 97 d_{0}$ $30$ $0$ $1$ $0$
97.6.5.24a $97$ $30$ $6$ $5$ $24$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^5 + 97$ $6$ $0$ $1$ $0$
97.5.6.25a $97$ $30$ $5$ $6$ $25$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^6 + 97 d_{0}$ $30$ $0$ $1$ $0$
97.3.10.27a $97$ $30$ $3$ $10$ $27$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{10} + 97 d_{0}$ $6$ $0$ $1$ $0$
97.2.15.28a $97$ $30$ $2$ $15$ $28$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{15} + 97 d_{0}$ $6$ $0$ $1$ $0$
97.1.30.29a $97$ $30$ $1$ $30$ $29$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{30} + 97 d_{0}$ $6$ $0$ $1$ $0$
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