Properties

Label 7.4.1.0a1.1-3.3.6a
Base 7.4.1.0a1.1
Degree \(9\)
e \(3\)
f \(3\)
c \(6\)

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Defining polynomial over unramified subextension

$x^{3} + 7d_{0}$

Invariants

Residue field characteristic: $7$
Degree: $9$
Base field: 7.4.1.0a1.1
Ramification index $e$: $3$
Residue field degree $f$: $3$
Discriminant exponent $c$: $6$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $9$
Mass: $1$
Absolute Mass: $1/12$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.