Properties

Label 191.2.1.0a1.1-1.12.11a
Base 191.2.1.0a1.1
Degree \(12\)
e \(12\)
f \(1\)
c \(11\)

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Defining polynomial

$x^{12} + 191d_{0}$

Invariants

Residue field characteristic: $191$
Degree: $12$
Base field: $\Q_{191}(\sqrt{7})$
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: $12$
Mass: $1$
Absolute Mass: $1/2$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.