  Explicit polynomial forms for R\'enyi and entanglement entropies are given on
even --dimensional spheres which possess a codimension--2 U(1) monodromy
defect. Free scalar and Dirac fields are treated and higher-derivative
propagation operators employed. The central charge, $C_T$, is also calculated.
Comparison with existing results is made and it is shown how these can be
obtained from the values here.
