zeta function nonzeroes

Question

I am interested in what happens to the zeta function zeroes if the real part is made slightly greater than or less than $1/2$.

What I am asking is: can someone graph a few nonzero values of $\zeta(s)$?

Answer 1

Pictures can be found on the Wikipedia article on the zeta function https://en.wikipedia.org/wiki/Riemann_zeta_function