Properties

Label 191.1.2.1a1.2-4.4.12a
Base 191.1.2.1a1.2
Degree \(16\)
e \(4\)
f \(4\)
c \(12\)

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Defining polynomial over unramified subextension

$x^{4} + d_{0} \pi$

Invariants

Residue field characteristic: $191$
Degree: $16$
Base field: $\Q_{191}(\sqrt{191})$
Ramification index $e$: $4$
Residue field degree $f$: $4$
Discriminant exponent $c$: $12$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $16$
Mass: $1$
Absolute Mass: $1/8$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.