If \(\omega\) is a complex cube root of unity, then
\[
(1+\omega)(1+\omega^2)(1+\omega^4)(1+\omega^5)(1+\omega^7)(1+\omega^8)\cdots
\]
(2n factors) is equal to
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Whenever powers of cube roots of unity appear, reduce exponents modulo 3. This usually converts long products into simple repeating factors.