Independent Reproduction and Convergence Analysis of the Connes-Consani-Moscovici Zeta Spectral Triple

We independently implement the Connes–Consani–Moscovici (CCM) operator construction (arXiv:2511.22755) in Rust at arbitrary precision (MPFR/GMP) and extend the headline result from 55 to 999 matching decimal digits on the first Riemann zeta zero, limited only by working precision. We characterize the construction's convergence empirically: accuracy exhibits two-regime behavior in basis size N (linear growth, then saturation at the Weil eigenvalue ceiling ε_N); ε_N decays super-exponentially with prime count (hundreds of digits per doubling at fixed N/√λ²≈28); and accuracy grows monotonically with λ, controlled directly by ε_N. The smallest eigenvector's even-symmetry (CCM's Step 1 hypothesis) holds at every above-floor configuration tested up to λ²=1200 at HP-2000; the forced-even projection is empirically unnecessary — the natural eigenvector converges to the same even vector and produces bit-identical eigenvalues. Remarkably, a 21×21 matrix from 6 primes already yields 21.585 matching digits. This work has been shared with Professor Henri Moscovici (a co-author of arXiv:2511.22755), who forwarded it to lead author Professor Alain Connes for review. All results are reproducible from the accompanying source-available implementation. GitHub: https://github.com/TeamXcelerator/ccm-reproduction-and-convergence