In the given programme The sampling time is a little too high, thus the sampling frequency is low. To fix this programme the easiest thing to do would be to increase the sampling frequency of the sinusoid.

F0=13;
T0=1/F0;
Ts=0.00007;
t=0:Ts:13*T0;
x=real(exp(j*(2*pi*F0*t-pi/2)));
plot(t,x)
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