A Hybrid Operator Approach for Approximating the Riemann Zeta Zeros with 1.19% Mean Error

This deposit provides a reproducible dataset and code package for a hybrid operator construction that approximates the nontrivial Riemann zeta zeros with high accuracy. By combining exponential, polynomial, and Gaussian kernel components optimized through Differential Evolution and L-BFGS-B, the operator achieves a mean relative error of 1.19% for the first 15 zeros, improving upon previous 3.33% results.The package includes numerical arrays (, , ), metadata (), and optimization scripts (). Validation confirms hermiticity, spectral ordering, convergence under mesh refinement, and robustness to parameter perturbations.This resource establishes one of the most accurate operator-based numerical approximations currently available for the Riemann spectrum and provides a solid foundation for further spectral investigations of the Riemann Hypothesis.