Properties

Label 19.2.18.34a
Base 19.1.1.0a1.1
Degree \(36\)
e \(18\)
f \(2\)
c \(34\)

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Defining polynomial over unramified subextension

$x^{18} + 19d_{0}$

Invariants

Residue field characteristic: $19$
Degree: $36$
Base field: $\Q_{19}$
Ramification index $e$: $18$
Residue field degree $f$: $2$
Discriminant exponent $c$: $34$
Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $36$
Mass: $1$
Absolute Mass: $1/2$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.