Shown to the right is a list of $201$ complex numbers $a_{-100}$ through $a_{100}$ :

$($The numbers are sorted columnwise, so that $a_{-100}=-j,a_{-99}=-1-j,a_{-98}=-2+j,$ etc. The middle column contains only $a_0=0.$ The last entry in the last row indicates that $a_{100}=j.)$

The trajectory of the complex signal

$z(t)={\displaystyle \underset{k=-100}{\overset{100}{}}}{a}_k{e}^{jk2t}$

traces a picture in the complex plane; write MATLAB code that culminates in the command plot$(z)$ to reveal the picture. Include both the MATLAB code and the resulting MATLAB figure in your homework submission.