Numerator: $ 2(1 + e^i4\pi/3) $, denominator: $ 1 - e^i4\pi/3 $, so $ S = 2 \cdot rac1 + e^i4\pi/31 - e^i4\pi/3 $. Multiply numerator and denominator by $ e^-i2\pi/3 $: - AMAZONAWS