More fun in 2015, Part 14

Algebra Level 5

\[\left|\prod_{1\leq{m}<n\leq{2015}}(w_m+w_n)\right|\] If \(w_1,...,w_{2015}\) are the 2015-th roots of unity, find the value of the expression above.

Extra Credit Question: Find \(\prod_{m<n}(w_m+w_n)\), not just the absolute value.

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