  I compute the conformal weights of the twist operators of free scalar fields
for charged R\'enyi entropy in both odd and even dimensions. Explicit
expressions can be found, in odd dimensions as a function of the chemical
potential in the absence of a conical singularity and thence by images for all
integer coverings. This method, developed some time ago, is equivalent, in
results, to the replica technique. A review is given.
  The same method applies for even dimensions but a general form is more
immediately available. For no chemical potential, the the closed form in the
covering order is written in an alternative way related to old trigonometric
sums. Some derivatives are obtained.
  An analytical proof is given of a conjecture made by Bueno, Myers and
Witczac--Krempa regarding the relation between the conformal weights and a
corner coefficient (a universal quantity) in the R\'enyi entropy.
