Properties

Label 53.1.2.1a1.2-1.14.13a
Base 53.1.2.1a1.2
Degree \(14\)
e \(14\)
f \(1\)
c \(13\)

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Defining polynomial

$x^{14} + d_{0} \pi$

Invariants

Residue field characteristic: $53$
Degree: $14$
Base field: $\Q_{53}(\sqrt{53\cdot 2})$
Ramification index $e$: $14$
Residue field degree $f$: $1$
Discriminant exponent $c$: $13$
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.