Properties

Label 19.2.2.2a1.2-1.9.8a
Base 19.2.2.2a1.2
Degree \(9\)
e \(9\)
f \(1\)
c \(8\)

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Defining polynomial

$x^{9} + d_{0} \pi$

Invariants

Residue field characteristic: $19$
Degree: $9$
Base field: 19.2.2.2a1.2
Ramification index $e$: $9$
Residue field degree $f$: $1$
Discriminant exponent $c$: $8$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $9$
Mass: $1$
Absolute Mass: $1/4$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.