Properties

Label 2.3.2.9a1.6-2.3.4a
Base 2.3.2.9a1.6
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: $2$
Degree: $6$
Base field: 2.3.2.9a1.6
Ramification index $e$: $3$
Residue field degree $f$: $2$
Discriminant exponent $c$: $4$
Absolute Artin slopes: $[3]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $6$
Mass: $1$
Absolute Mass: $1/12$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.