Computations of 10¹³ zeros of zeta function and many primes are the richest source of the best data to study important correlations.
May be the power of visual and audible perception with use of animation and sound musical sequences could help to reveal some laws common to similar correlations in random matrices and in financial fluctuations.
L-function closest to Riemann zeta may permit to analyse the simplest model of crystallization. Similarity of correlation in random matrix eigenvalues to financial correlations indicates a possible analogy between stock price fluctuations, brownian diffusion and critical collective phenomena [1].

[1] H. E. Stanley et al., Self-organized complexity in economics and finance, Proc. Natl. Acad. Sci. 99-Supp, 2561-2565 (2002).