Feat/week5 density tests#235

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kir943 wants to merge 10 commits intotheochem:masterfrom

kir943:feat/week5-density-tests

Commits on Feb 14, 2026

Add N-center Gaussian overlap engine with screening and sparse builder (Week 1–2)
kir943
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Remove experimental sparse builder test (not part of Week 1–2)
kir943
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Commits on Feb 20, 2026

Move overlap test files to tests directory as requested in review
kir943
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Remove unrelated/extra test files from PR
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Remove incorrect duplicate integrals package
kir943
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Remove multi_overlap.py (belongs to Week 3, not this PR)
kir943
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Commits on Feb 22, 2026

Week 3: Add arbitrary order overlap tests (N=1 to N=6)
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Commits on Feb 24, 2026

Week 4: Add intracule and extracule density API
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Commits on Feb 28, 2026

Week-5: Add tests, benchmarks, and real-basis validation for density API
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Commits on Mar 2, 2026

Style: format code with black as requested
kir943
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