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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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Results (4 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
199.21.1.0a $199$ $21$ $21$ $1$ $0$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x$ $21$ $1$ $1$ $1$
199.7.3.14a $199$ $21$ $7$ $3$ $14$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^3 + 199 d_{0}$ $21$ $3$ $1$ $1$
199.3.7.18a $199$ $21$ $3$ $7$ $18$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^7 + 199$ $3$ $1$ $1$ $1$
199.1.21.20a $199$ $21$ $1$ $21$ $20$ $[\ ]$ $[ ]$ $\langle \rangle$ $( )$ $x^{21} + 199 d_{0}$ $3$ $3$ $1$ $1$
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