  We numerically study the statistical properties of differences of zeros of
Riemann zeta function and L-functions predicted by the theory of the e\~ne
product. In particular, this provides a simple algorithm that computes any
non-real Riemann zeros from very large ones ("self-replicating property of
Riemann zeros"). Also the algorithm computes the full sequence of non-real
zeros of Riemann zeta function from the sequence of non-real zeros of any
Dirichlet L-function ("zeros of L-functions know about Riemann zeros"). We also
check that the first error to the convergence to the classical GUE statistic
near 0 is a Fresnel distribution.
