The zeta function in its functional form is described by:
$$\zeta(s) = 2^s\pi ^{s-1}\sin\left( \frac{\pi s}{2}\right)\Gamma(1-s)\zeta(1-s)$$
We know that the zeroes of the zeta function are symmetric about the real line $1/2$.
Can there be two zeroes (whose real part is asymmetric about the 1/2 axis) such that: $|(\Re(s_0)|\neq|\Re(s_1)|$ but $\Im(s_0)=\Im(s_1)$.
I could find no information regarding the same?