Properties

Label 103.3.1.0a1.1-1.13.12a
Base 103.3.1.0a1.1
Degree \(13\)
e \(13\)
f \(1\)
c \(12\)

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Defining polynomial

$x^{13} + 103$

Invariants

Residue field characteristic: $103$
Degree: $13$
Base field: 103.3.1.0a1.1
Ramification index $e$: $13$
Residue field degree $f$: $1$
Discriminant exponent $c$: $12$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $1$
Mass: $1$
Absolute Mass: $1/3$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.