Sum of reciprocal of zeroes of zeta function

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The sum of reciprocal of zeroes of riemann zeta function converges conditionally that if they are paired as $\rho $ and $1-\rho$ My question is if the sum still converges if they are paired as $\rho$ and $\rho$ conjugate .

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Yes. $\textbf{}$ $\textbf{}$ $\textbf{}$