Clear

Need to get clear on when and where to zeroes might appear.
cos(x) is at .5 at 60 degrees, or 1.047 rad. The value of sin(x)
will be .8660 at that point. Greater than 1 values means we are
on a larger than unit-1 circle, but the proportions are the same.

So what is the situation here: the value of zeta is controlled by that of s.
Anything to the power of 0 clocks in at 1. In a function that oscllates between
zero and 1, those1s will settle to a global 0.

The oscillator is 1 at 0, and the numbers to the right conspire to an odd.
(try n=4).