A cyclotomic integer is a polynomial in a root of unity with integer coefficients.
For a prime number 
, those generated by a primitive
root of unity of order 
have the form
 |
where
 |
is a de Moivre number and 
, 
, ..., 
are integers. Unique
factorization in this ring fails for prime 
(Masley 1976, p. 179).
