Properties

Label 163.1.36.35a
Base 163.1.1.0a1.1
Degree \(36\)
e \(36\)
f \(1\)
c \(35\)

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Defining polynomial

$x^{36} + 163d_{0}$

Invariants

Residue field characteristic: $163$
Degree: $36$
Base field: $\Q_{163}$
Ramification index $e$: $36$
Residue field degree $f$: $1$
Discriminant exponent $c$: $35$
Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $18$
Mass: $1$
Absolute Mass: $1$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.