Properties

Label 191.2.1.0a1.1-5.3.10a
Base 191.2.1.0a1.1
Degree \(15\)
e \(3\)
f \(5\)
c \(10\)

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Defining polynomial over unramified subextension

$x^{3} + 191$

Invariants

Residue field characteristic: $191$
Degree: $15$
Base field: $\Q_{191}(\sqrt{7})$
Ramification index $e$: $3$
Residue field degree $f$: $5$
Discriminant exponent $c$: $10$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $15$
Mass: $1$
Absolute Mass: $1/10$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.