Properties

Label 131.1.4.3a1.2-1.8.7a
Base 131.1.4.3a1.2
Degree \(8\)
e \(8\)
f \(1\)
c \(7\)

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Defining polynomial

$x^{8} + d_{0} \pi$

Invariants

Residue field characteristic: $131$
Degree: $8$
Base field: 131.1.4.3a1.2
Ramification index $e$: $8$
Residue field degree $f$: $1$
Discriminant exponent $c$: $7$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $2$
Mass: $1$
Absolute Mass: $1/2$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.