Here’s a plot of exp(6it)/2 + exp(20it)/3: Notice that the plot has 7-fold symmetry.
You might expect 6-fold symmetry from looking at the equation.
Where did the 7 come from? I produced the plot using the code from this post, changing the line defining the function to plot to def f(t): return exp(6j*t)/2 + exp(20j*t)/3 You can find the solution in Eliot’s comment in this Twitter thread.
Related links Daily exponential sum Mystery curve.