Added requirements.txt for verified reproducibility (SageMath 10.7 / Python 3.12).

Environment Setup

All computations are reproducible using SageMath 10.7 and the included requirements.txt file:

pip install -r requirements.txt

Summary

Added requirements.txt for verified reproducibility (SageMath 10.7 / Python 3.12). All computational steps in 2025-10-19-file-1_CLEAN.ipynb and OA_Sage_Notebook.ipynb now reproduce cleanly.

Topics / Keywords

Hodge Conjecture, Algebraic Geometry, SageMath, Python, Omega Closure, Lambda Stability, Computational Algebraic Geometry, Reproducible Research,