Properties

Label 71.3.2.3a1.1-1.6.5a
Base 71.3.2.3a1.1
Degree \(6\)
e \(6\)
f \(1\)
c \(5\)

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Defining polynomial

$x^{6} + d_{0} \pi$

Invariants

Residue field characteristic: $71$
Degree: $6$
Base field: 71.3.2.3a1.1
Ramification index $e$: $6$
Residue field degree $f$: $1$
Discriminant exponent $c$: $5$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $2$
Mass: $1$
Absolute Mass: $1/6$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.