Properties

Label 3.2.3.6a5.1-3.2.3a
Base 3.2.3.6a5.1
Degree \(6\)
e \(2\)
f \(3\)
c \(3\)

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Defining polynomial over unramified subextension

$x^{2} + d_{0} \pi$

Invariants

Residue field characteristic: $3$
Degree: $6$
Base field: 3.2.3.6a5.1
Ramification index $e$: $2$
Residue field degree $f$: $3$
Discriminant exponent $c$: $3$
Absolute Artin slopes: $[\frac{3}{2}]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $6$
Mass: $1$
Absolute Mass: $1/3$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.