Properties

Label 103.3.1.0a1.1-1.9.8a
Base 103.3.1.0a1.1
Degree \(9\)
e \(9\)
f \(1\)
c \(8\)

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Defining polynomial

$x^{9} + 103d_{0}$

Invariants

Residue field characteristic: $103$
Degree: $9$
Base field: 103.3.1.0a1.1
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: $1/3$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.