Properties

Label 41.2.14.26a
Base 41.1.1.0a1.1
Degree \(28\)
e \(14\)
f \(2\)
c \(26\)

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Defining polynomial over unramified subextension

$x^{14} + 41d_{0}$

Invariants

Residue field characteristic: $41$
Degree: $28$
Base field: $\Q_{41}$
Ramification index $e$: $14$
Residue field degree $f$: $2$
Discriminant exponent $c$: $26$
Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $28$
Mass: $1$
Absolute Mass: $1/2$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.