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","code_sha256":"be274b821a6428eb6fe9f0c08d4d365fa288869b3104fd7a3121f527da6f3559","notes":"Extract tar beside the pinned solved folder's run.py and tables. Python 3.12; optional venv: python3 -m venv venv; venv/bin/pip install numpy numba. From that folder: PROCS=1 venv/bin/python -I run.py fast_replica:Lattice 10000 3 out.json qm=qm_k1e-5.json. Fast single-process batch: venv/bin/python -I fast_replica.py lattice 10000 64 out.json qm=qm_k1e-5.json; use perfect for oracle scoring. No NumPy/Numba: standard-library fallback uses the pinned Python references; checked with -I -S on all 3 gates. Python keeps CPython random streams, input generation, wrappers and JSON; Numba compiles trading/scoring, lattice, likelihoods and lookups. No fastmath/reassociated sums; interpolation and convolution operation order retained. Small rounding differences remain: six decimals and 1e-6 parity, not bit identity. Timings include RNG and initialization, exclude import/table loading and 29.916s cold JIT warmup (seed 60032); pure then numba each once on 60000..60031. Perfect gates: 448.261189, 576.779199, 531.886497. Holdout misread 16.266619%, price RMS 13.633440 bps. Tooling only; gas not measured. Tar SHA256 hashes uncompressed tar bytes. Archive includes verification script and measured rows; optional binary packages/reference tables are not bundled."}