Looking at values for the zeta function on Graph. It is clear one
needs to be between -1 and 1 for negative values to appear.
And given that there are -0 angle readings, I am out of range
through rounding.
Switching to Desmos. Nothing exciting on the additive aspect of zeta. One
gets a rounding zero on the multiplicative side!
Successive multiplications might be enlightening:
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