  We aim to present families of generators with minimal cardinality -- we call
such families bases -- of the free abelian group Was$(\mathbb{K}) /
\mathbf{Z}(\mathbb{K})$ whenever $\mathbb{K}$ is a real cyclotomic field
$\mathbb{Q}(\zeta_n)^{+}$ or $\mathbb{K}$ is a totally deployed abelian number
field. Here, Was$(\mathbb{K})$ refers to the group of Washington's circular
units of $\mathbb{K}$ and $\mathbf{Z}(\mathbb{K})$ refers to the group of roots
of unity lying in $\mathbb{K}$.
