Root of Unity
The 
th Roots of Unity are Roots 
of the Cyclotomic Equation
which are known as the de Moivre Numbers.See also Cyclotomic Equation, de Moivre's Identity, de Moivre Number, Unity
References
Courant, R. and Robbins, H. ``De Moivre's Formula and the Roots of Unity.'' §5.3 in What is Mathematics?: An Elementary Approach to Ideas and Methods, 2nd ed. Oxford, England: Oxford University Press, pp. 98-100, 1996.
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