If $z=\frac{-1-i \sqrt{3}}{2}$, then $\sum_{k=1}^{2022}\left(z^k+\frac{1}{z^k}\right)^2=$

• A

  0
• B

  2022
• Correct answer
  C

  4044
• D

  1011

Hence, the correct answer is option: 'C'.