Properties

Label 61.1.45.44a
Base 61.1.1.0a1.1
Degree \(45\)
e \(45\)
f \(1\)
c \(44\)

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Defining polynomial

$x^{45} + 61d_{0}$

Invariants

Residue field characteristic: $61$
Degree: $45$
Base field: $\Q_{61}$
Ramification index $e$: $45$
Residue field degree $f$: $1$
Discriminant exponent $c$: $44$
Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $15$
Mass: $1$
Absolute Mass: $1$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.