Properties

Label 107.1.2.1a1.1-8.2.8a
Base 107.1.2.1a1.1
Degree \(16\)
e \(2\)
f \(8\)
c \(8\)

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Defining polynomial over unramified subextension

$x^{2} + d_{0} \pi$

Invariants

Residue field characteristic: $107$
Degree: $16$
Base field: $\Q_{107}(\sqrt{107\cdot 2})$
Ramification index $e$: $2$
Residue field degree $f$: $8$
Discriminant exponent $c$: $8$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $16$
Mass: $1$
Absolute Mass: $1/16$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.