Experimental Constraints on Landau-Siegel Zeros: A 2-Billion Point Spectral Gap Analysis of Q47

We present experimental constraints on hypothetical Landau-Siegel zeros derived from high-precision spectral gap analysis of the polynomial prime sequence Q (n) = n⁴7 - (n-1) ⁴7. Our dataset comprises 15. 4 million verified primes across the asymptotic regime n ∈ 3×10⁸, 2×10⁹. TWO-STAGE VERIFICATION PROTOCOL: (1) Fast scanning algorithms for large-scale anomaly detection identified a candidate void at n ≈ 1. 4×10⁹ (2) Arbitrary-precision verification (gmpy2) resolved this as fine-structure primes below the initial resolution threshold FINAL VERIFIED STATISTICS: - Coefficient of Variation: 0. 995 (Poisson: 1. 000) - Maximum Gap Ratio: 0. 99 (Expected: 1. 00) - Cramér Ratio: < 1. 5 (Bound: 2. 0) - Regional Anomalies: 0/100 CONCLUSION: No detectable perturbation from Landau-Siegel zeros within the analyzed range. The spectral gap distribution remains fully consistent with Generalized Riemann Hypothesis predictions, providing independent experimental support for GRH at the n ~ 10⁹ scale. REPOSITORY CONTENTS: - Research paper (6 pages with figures) - LaTeX source- Verification figure (4-panel analysis) - Statistical results (JSON) - Analysis scripts (Python) GitHub: https: //github. com/Ruqing1963/Landau-Siegel-Q47-Constraints Related publications: - Q47 Prime Dataset: DOI 10. 5281/zenodo. 18305185- Ouroboros Phase Transition: DOI 10. 5281/zenodo. 18306984