Properties

Label 103.1.2.1a1.2-1.12.11a
Base 103.1.2.1a1.2
Degree \(12\)
e \(12\)
f \(1\)
c \(11\)

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Defining polynomial

$x^{12} + d_{0} \pi$

Invariants

Residue field characteristic: $103$
Degree: $12$
Base field: $\Q_{103}(\sqrt{103})$
Ramification index $e$: $12$
Residue field degree $f$: $1$
Discriminant exponent $c$: $11$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $6$
Mass: $1$
Absolute Mass: $1/2$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.