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0
votes
counting complex roots which are root of unity times a real number
Do a high precision computation of all roots, take the continued fraction expansion of the imaginary part of $\frac{1}{\pi}\log \rho$ for all roots $\rho$. This gives you all reasonable candidates tog …
12
votes
How small can a sum of a few roots of unity be?
From a computational point of view one can probably use the LLL algorithm for getting fairly good solutions: Indeed consider the sublattice of $\mathbb Z^{n+2}$
spanned by integral vectors of the form …