Properties

Label 197.1.6.5a1.2-2.3.4a
Base 197.1.6.5a1.2
Degree \(6\)
e \(3\)
f \(2\)
c \(4\)

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Defining polynomial over unramified subextension

$x^{3} + d_{0} \pi$

Invariants

Residue field characteristic: $197$
Degree: $6$
Base field: 197.1.6.5a1.2
Ramification index $e$: $3$
Residue field degree $f$: $2$
Discriminant exponent $c$: $4$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $6$
Mass: $1$
Absolute Mass: $1/4$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.