Paper-side line counts per dimension: Lagrangian bound v ≤ T(2^k′+1) with exact ladder D4/D6/E7/E8 and no-gos scoped to windows h ≤ 13 (no κ claim)

research/line-system-saturation/LICENSE

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research/line-system-saturation/MANIFEST.sha256

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+c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4  LICENSE
+7a07ef02f482f511f453d1dc6887031040acce5e94ff41165a456b5ecd79365b  NOTICE.md
+73ac7cd963ceed9565d4780f432f6adc3895c48814a75eb3dde9728b3cf3d9a6  README.md
+b94f49be4ad30d6ae2fdb540916a7446114d6661f42585ee65566b6bd7014aed  SOURCES.json
+8f912d437c4fcbb717eed954ce3236a4124a17baacce3bc05dcd315f943d42d1  checks/c1_ladder.py
+2989f7f1fc274e6ee743cf420276caaed109cff483aa341c64cdd401e6a160c0  checks/c2_normtwo.py
+474e0f199361994241a32cd85008123c3b775fc092e27dc15852354cad6a1477  checks/c3_twopoint.py
+a8a4d185731bf3fed5c440bc3ba375dd18e0be8e546adedcd1327ecba622360e  checks/c4_descent.py
+064d824586c3c526aa5e2c45ed8bf39c2bae2d427aec62ae09e798e7324e319b  checks/c5_l1cons.py
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research/line-system-saturation/NOTICE.md

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+# Notice
+
+Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code; Apache-2.0 (`LICENSE`, copied from the repository root).
+
+## Credits
+
+- **#446**, **#595**, **#1590**, **#2111**, **#2228**: the cost model, the dense pairing and the polar law for odd-or-zero units that Theorem A generalises; **#2125**: explicit pairings, the T² threshold and the first realisability numerics for the doily and Sp(6,2); **#968**: the 8/7 block-rank rule on E8; **#2162**: the T = 3 and 2-adic side.
+- **#2222** (1337isnot1337): the complete polynomial-kernel unit on the P48p minimum vectors (h = 49), which is the reason every no-go here is scoped to bounded windows; **#598** (Leech/Turyn polynomial-lattice kernels); **#895** (DaysSky): the 72-clique of the full BW16 shell; **#620**, **#606**, **#897**: related unit screens.
+- Literature (cited, statements to be verified by the reader where marked [verify] in the README): Roberson and Mančinska–Roberson (projective packing number, α_p ≤ ϑ′); Thas (no ovoids in W(2n−1,q), n ≥ 3); Tiep–Zalesskii (minimal degrees of Sp(2n,2); ATLAS for 7, 35, 155); Nguyen, arXiv:0910.4885; Delsarte (linear programming bound; the inequality is re-proved in README §8.2).
+- `lib/exact.py`, `lib/report.py`, `lib/units.py` are carried over unchanged from the author's own package of #2228; the pattern of `scripts/provenance.py` and `verify.sh` is the same.
+
+## New in this package
+
+Everything under `research/line-system-saturation/`: `README.md`, `verify.sh`, `SOURCES.json`, `MANIFEST.sha256`, `requirements.txt`, `lib/*.py`, `checks/*.py`, `scripts/provenance.py`, `data/best_kprime_*.json` (vector files from the author's construction runs, re-verified by `checks/c5_l1cons.py`).