{ "schema_version": 1, "operation": "polyhedra-complete-local-working-edition-v1", "built_at_utc": "2026-11-02T23:45:48.972131+00:00", "research_source": { "commit": "4681abb777c813808f2ea4758461c4e89d510ff7", "dirty": false, "status_porcelain": [] }, "source_sha256": { "book/main.tex": "be3c45c0c4e3105d5e5275b2bbfefed5b8a79e088a456b83a8ea81dcce89a99d", "book/polyhedral_volumes_and_geodesic_identities.tex": "05dffe181160a6193462b5aa0b5088ebf29b403cb3db67c0da041198e7e507aa", "book/chapters/01-volume-normalization.tex": "b35a17e1dce5aa276d915e67eff0d15926da7c4180a32f9ffa9706476c2fe095", "book/chapters/02-ideal-angle-cells.tex": "968ea966c452494a299be719165b5ac25c5ebd70e31e8bfd974705b763f9644d", "book/chapters/03-ideal-tetrahedron.tex": "81c51ade3378fbfd4baff1cebeb2dcdd8b0fd43a032ac45fb3b30c4908060797", "book/chapters/04-hyperideal-integrand.tex": "94da7f5288e0b6c606ff7d1a80516bc421e1de1a801e83873a0c9a25af7946b5", "book/chapters/05-boundary-cone-continuation.tex": "feee80182603e334d8cda389435a43a8b9d37192b581befd1e761c03b93e51d5", "book/chapters/06-torus-sphere.tex": "4a60370b881044ff89f45bbe51a171f04fb315b3be9317468a6cf212e8fd2947", "book/chapters/07-euclidean-periods.tex": "046ae8e6ba6a4c3ce46a23e8fd2138cdade3be33b600ba74fecb0069d7d574b9", "book/chapters/08-wp-flat-limit.tex": "1a175315aa975708a5c93151b9ae107b7dd36f79720dae7c7264adda062a6283", "book/chapters/09-volume-hessians.tex": "15b8c3324ec9e1acf7a7926e4c0443db0a22db1648240a3d1790e178bbb5d056", "book/chapters/10-quantum-introduction.tex": "d8fe0bb6f6698a3c50865ae2cf0cac029f4a26c30f46fa71de1907d1ffd48fa3", "book/chapters/11-quantum-degeneration.tex": "910a1a2003b79ee6cc96787d22cf6b12944c0c7b369ca316fec2c5aa210aa080", "book/chapters/12-quantum-boundary-measure.tex": "7dfd05ded3cb51c6697cae5787d2ba15b93f12f6d918c976dc3e25ec889144db", "book/chapters/13-four-point-fusion.tex": "d19b0ceaba665faabfbbcc7c73fced86ce7613a20f039aef962255c07d6c0106", "book/chapters/14-normalized-quantum-comparison.tex": "0525eaef04fd63396a14630fe2399d0c352b86961730fa5c6a259126289df237", "book/chapters/15-quantum-airy.tex": "efee2c699923ab31e4d7d48eeac57c60bf2ea088ea4ff17e617b9ed97202d6dd", "book/chapters/16-dehn-filling-response.tex": "9b885422342f706d4f7d06fafa4dec7509a69be1aec7133c6377346459635731", "book/chapters/17-unfolding-constant-series.tex": "7b3e784b9b6f7ace3f402afca0a402e5cc354fd118d751b07b6a8bad707a4e88", "book/chapters/18-figure-eight-curves.tex": "db8fd09066b6b80bb1e231587ad0f740d6d37aad91cd20ae29e4bde95fc08cbc", "book/chapters/19-pants-twists.tex": "07292527452fe2e728eba6cc917f548ebd7f9551ac2849d7e5a1b1b7158080dd", "book/chapters/20-torus-twist-series.tex": "841fe98f4e7140ef6b6db82214f9e7d78d9c311888a2d2851e02e61eda6ab4e9", "book/chapters/21-cuff-matching.tex": "2988997ebd215ad77c6153309712ed557c139b2af8c13c4ca86fb2a865e84f90", "book/chapters/22-cusps-orthospectrum.tex": "bb3a234029d2b95b6c40eee4cbeee0199d4740a84326cd0595163dcbc6730557", "book/chapters/23-trace-coefficients.tex": "56e59ccb2e65f16393d72511ec0a4b62e51411b71b3bc9038fb3f5579b93670b", "book/chapters/24-quantitative-counting.tex": "4099f91c4abddf5f2a13831e48d7d52ac4d90af137068b969ca612fc6b273c58", "book/chapters/25-global-coefficient-filters.tex": "c876c43ce0d738ea4fa4780713753c3c9c48efdcf788cc9e305ac5011af732e2", "book/chapters/26-counting-to-mixing.tex": "64562ebf631c59b84b9c991a632926107b3e24cb5b08b29c21e263bd50a9e901", "book/chapters/27-weighted-mixing-converse.tex": "79fb4660fe87a5723eea0d410e55e954913b0386057a31542473d6486492dcc1", "book/chapters/28-genus-two-model.tex": "0383f71af0980643fdab7c5be47fa0055078fc203f1670acad0a8fc7127f2136", "book/chapters/29-controlled-observables.tex": "8c26fb3e18186d95ead2ae71eebd601966855d1bf0f9f7ed662f9996ab3b49f1", "book/chapters/30-sharp-diagnostics.tex": "323849154e2a1e8518095b9a5bc2fa5ebf9e798d2c2166bfdae65f56b3563a68", "book/chapters/31-arithmetic-remainder.tex": "1a2da9895ced25170fa0d748326c3aee7c72363745770bcca0b1baba974be40b", "book/chapters/32-open-questions.tex": "da1dbec5377e48b044d635ce0a229ec336c4cb5e8a986cbe6a0bf2b17ea28029", "book/chapters/appendix-a-fricke.tex": "61bde2f802c7c5cb931d6bc5c4528e82459392e803b2a7aaf1a7d5afc4fb7e5f", "book/chapters/appendix-b-conventions.tex": "6cdcee282d3b3a5cc4a139a73671c657b432807de937f69c8a5a302dea798add" }, "input_sha256": { "book/main.tex": "be3c45c0c4e3105d5e5275b2bbfefed5b8a79e088a456b83a8ea81dcce89a99d", "book/polyhedral_volumes_and_geodesic_identities.tex": "05dffe181160a6193462b5aa0b5088ebf29b403cb3db67c0da041198e7e507aa", "book/chapters/01-volume-normalization.tex": "b35a17e1dce5aa276d915e67eff0d15926da7c4180a32f9ffa9706476c2fe095", "book/chapters/02-ideal-angle-cells.tex": "968ea966c452494a299be719165b5ac25c5ebd70e31e8bfd974705b763f9644d", "book/chapters/03-ideal-tetrahedron.tex": "81c51ade3378fbfd4baff1cebeb2dcdd8b0fd43a032ac45fb3b30c4908060797", "book/chapters/04-hyperideal-integrand.tex": "94da7f5288e0b6c606ff7d1a80516bc421e1de1a801e83873a0c9a25af7946b5", "book/chapters/05-boundary-cone-continuation.tex": "feee80182603e334d8cda389435a43a8b9d37192b581befd1e761c03b93e51d5", "book/chapters/06-torus-sphere.tex": "4a60370b881044ff89f45bbe51a171f04fb315b3be9317468a6cf212e8fd2947", "book/chapters/07-euclidean-periods.tex": "046ae8e6ba6a4c3ce46a23e8fd2138cdade3be33b600ba74fecb0069d7d574b9", "book/chapters/08-wp-flat-limit.tex": "1a175315aa975708a5c93151b9ae107b7dd36f79720dae7c7264adda062a6283", "book/chapters/09-volume-hessians.tex": "15b8c3324ec9e1acf7a7926e4c0443db0a22db1648240a3d1790e178bbb5d056", "book/chapters/10-quantum-introduction.tex": "d8fe0bb6f6698a3c50865ae2cf0cac029f4a26c30f46fa71de1907d1ffd48fa3", "book/chapters/11-quantum-degeneration.tex": "910a1a2003b79ee6cc96787d22cf6b12944c0c7b369ca316fec2c5aa210aa080", "book/chapters/12-quantum-boundary-measure.tex": "7dfd05ded3cb51c6697cae5787d2ba15b93f12f6d918c976dc3e25ec889144db", "book/chapters/13-four-point-fusion.tex": "d19b0ceaba665faabfbbcc7c73fced86ce7613a20f039aef962255c07d6c0106", "book/chapters/14-normalized-quantum-comparison.tex": "0525eaef04fd63396a14630fe2399d0c352b86961730fa5c6a259126289df237", "book/chapters/15-quantum-airy.tex": "efee2c699923ab31e4d7d48eeac57c60bf2ea088ea4ff17e617b9ed97202d6dd", "book/chapters/16-dehn-filling-response.tex": "9b885422342f706d4f7d06fafa4dec7509a69be1aec7133c6377346459635731", "book/chapters/17-unfolding-constant-series.tex": "7b3e784b9b6f7ace3f402afca0a402e5cc354fd118d751b07b6a8bad707a4e88", "book/chapters/18-figure-eight-curves.tex": "db8fd09066b6b80bb1e231587ad0f740d6d37aad91cd20ae29e4bde95fc08cbc", "book/chapters/19-pants-twists.tex": "07292527452fe2e728eba6cc917f548ebd7f9551ac2849d7e5a1b1b7158080dd", "book/chapters/20-torus-twist-series.tex": "841fe98f4e7140ef6b6db82214f9e7d78d9c311888a2d2851e02e61eda6ab4e9", "book/chapters/21-cuff-matching.tex": "2988997ebd215ad77c6153309712ed557c139b2af8c13c4ca86fb2a865e84f90", "book/chapters/22-cusps-orthospectrum.tex": "bb3a234029d2b95b6c40eee4cbeee0199d4740a84326cd0595163dcbc6730557", "book/chapters/23-trace-coefficients.tex": "56e59ccb2e65f16393d72511ec0a4b62e51411b71b3bc9038fb3f5579b93670b", "book/chapters/24-quantitative-counting.tex": "4099f91c4abddf5f2a13831e48d7d52ac4d90af137068b969ca612fc6b273c58", "book/chapters/25-global-coefficient-filters.tex": "c876c43ce0d738ea4fa4780713753c3c9c48efdcf788cc9e305ac5011af732e2", "book/chapters/26-counting-to-mixing.tex": "64562ebf631c59b84b9c991a632926107b3e24cb5b08b29c21e263bd50a9e901", "book/chapters/27-weighted-mixing-converse.tex": "79fb4660fe87a5723eea0d410e55e954913b0386057a31542473d6486492dcc1", "book/chapters/28-genus-two-model.tex": "0383f71af0980643fdab7c5be47fa0055078fc203f1670acad0a8fc7127f2136", "book/chapters/29-controlled-observables.tex": "8c26fb3e18186d95ead2ae71eebd601966855d1bf0f9f7ed662f9996ab3b49f1", "book/chapters/30-sharp-diagnostics.tex": "323849154e2a1e8518095b9a5bc2fa5ebf9e798d2c2166bfdae65f56b3563a68", "book/chapters/31-arithmetic-remainder.tex": "1a2da9895ced25170fa0d748326c3aee7c72363745770bcca0b1baba974be40b", "book/chapters/32-open-questions.tex": "da1dbec5377e48b044d635ce0a229ec336c4cb5e8a986cbe6a0bf2b17ea28029", "book/chapters/appendix-a-fricke.tex": "61bde2f802c7c5cb931d6bc5c4528e82459392e803b2a7aaf1a7d5afc4fb7e5f", "book/chapters/appendix-b-conventions.tex": "6cdcee282d3b3a5cc4a139a73671c657b432807de937f69c8a5a302dea798add", "LICENSES/CC-BY-4.0.txt": "2ade8c89b8bbe0d859b124a9e47032c8494022f43091e8278ae8e2554a292196", "LICENSES/MONOGRAPH-NOTICE.md": "34657dce59f05f339911fad763497d7615e0b721978910eadde2c3777b698e3b", "LICENSES/README.md": "345e69c061ecf6b276a8c57999516c855536ac7584af6aa4b4c3cdcd9bf6430e", "LICENSES/new-companion-files.txt": "6d52e33dc36d133cfa95fd6a5e97bc1708698f8e1865a18d847badf279222342", "LICENSES/new-companions-MIT.txt": "a56fbd01e5bce5116c4860ba8067070fb6d69861d6368a4a76c55f2457969384", "LICENSES/volume-toolkit-MIT.txt": "14c0fc10e8db2ba14a669b9939a69f22e729cdaecec1e8bde47d2b959ac5be38", "artifacts/counting_mixing/result.json": "04e9807ae5d3af8a8f2a2926a44ebc25f79a9e8151424ae39429655396b7567b", "artifacts/normalizations/result.json": "9aceff49e5a8a66399004eec292183087ab640e6441bf580d7007b5dd7949490", "artifacts/quantum_geodesics/result.json": "a8b5aea0d3bce364f069506d5b96a09ce03a49c0219fbe8bf070e61f1ead35ae", "artifacts/quantum_surgery/result.json": "accdcaae347f363f20761cc2ffc7a2a252c2199787a277e519cef9978c5578cf", "artifacts/section15/checks.json": "1b275fb776a7a203cfada670bf37d4a5c428a463e24edafb38ed0e8c258f8404", "artifacts/section15_quantum/result.json": "b8d600a6ca3797f45e616bc324d0d1620066e9c203c085229d4c544f6e245009", "artifacts/section30/result.json": "762b07184f76893c810f3e9832fd44dc7e4b292c1a64aae61aa26832e02884a1", "artifacts/section9/barrier-result.json": "b7d680717a5de790a146c584f66e955fb515449cc583adfa9e3c4543d692f798", "artifacts/section9/result.json": "e6aa3b68d0e7f7bbcb326f0d2b1e76245aa1ee6e728dcb7173f5bc9541782f85", "artifacts/torus_campaign/result.json": "51414cf7c3e72c2020e3267f3abbb6cf6e2c9c0f78b9b6ee3921ceced70bcece", "book/claims/section15.json": "2a53176d95601bd09448326a34b203f1e05bd46dc6eee182226af36b24a2fb96", "book/claims/section16.json": "dc24ca2ca1514446b5bd862f7632942a36f5e5d2bf07065a40b959bed3ce6531", "book/claims/section30.json": "5b19adfa2a45ab5fc22d760564f5576c5134f02d1827f8c94e3fa2e4c2bb852a", "book/claims/section31.json": "6cd4a0d185cda2e8dc2852ce6ddf81d0f0fc75a4a19d3866c1f84e3ad835f6b9", "book/claims/section32-appendixb.json": "b8e2ae0cbab07d993b45c381caca1b308b30acad45685da447af5e8e4276de55", "book/claims/section9.json": "255ed6ebb0c3eb1c7714d238f2829f6115487817408545e40461ef87b47b5c73", "book/claims/sections1-6.json": "46d3939d0cacda4f5780f18ed6b9e2ba21758d2fc3d0deecac99130ab14b6af2", "book/claims/sections10-11.json": "5d191ed33fdd5b1ce1a592e91ccc053674a9ea9c0f52a1c9bca33c473cff857c", "book/claims/sections12-14.json": "fecb43e3327f9f659afbd841f8b9ee10a2c75fa0b3a7694655beabc7675d53c7", "book/claims/sections17-22.json": "40dc199e544b1eddf678b1a10210fdd46b4bee6cfb5bfdc168534e9c6076037b", "book/claims/sections23-25.json": "61af82e0e0cf8b7e658803255f5bcd38849cde0f27539ef901b7f027816667db", "book/claims/sections26-29.json": "d139ca58e77c234e7c9e5d1bce69caf85b0038c1d4ef586a0b9ea0972371629c", "book/claims/sections7-8.json": "7438f1b5c8fde23fa81b0b1c3250d2965debf79678026d649bd7ff7cd368439d", "book/companion-reconciliation.md": "f6c4ad1da9c4b0033c78f2ec8b90e914c30269dc8ee118c0f9d36b87bcbd6a9f", "book/computational-status.md": "4e04187988c2f1533fe6862d66b5071270b4f8dfc58694dd2a93ed07f66c6de9", "book/numerical-errata.md": "63628db354fafc78e495f0e295bdaa5034cde4472680e171321b9d10fd55e072", "experiments/counting_mixing/README.md": "225d070e6eab3f61992c04c62f50361fd1f494a78ada8e2cf4d7b9dee61c4745", "experiments/counting_mixing/fixture.json": "538c23145ba1ded0f57c7f67a68412a35644ea85c1dd8c4470d902e11e57be33", "experiments/counting_mixing/run.py": "c079ee98ac182709cd9511a30a3a1a560b7b22311af6aaa4da06a427d19c1014", "experiments/normalizations/README.md": "0f460da36f82b31d4e2b51a11b1e732544410281e7f1322206eb30b1564b86cb", "experiments/normalizations/fixture.json": "603a15ca995ba2b430aa06cdaa6439443a79bbf59f2275590f8f22ad5a537141", "experiments/normalizations/run.py": "cd74141cb4ed4230b84f3e156c96ec67dbbed27bc4047c05fc2f8106e74d018d", "experiments/quantum_geodesics/README.md": "193149f1dd1fb67bf45dab240ec3b61aad0ece113859b59522b8534d9fef7fd0", "experiments/quantum_geodesics/fixture.json": "3c0f2ba7ffe7715d38e602697a0c7012b1963f653b483f5c7033858670530a1b", "experiments/quantum_geodesics/run.py": "618f17d3aec05e2a6de637c851e6ccfabfde50088662f5198f165eebd8a5254a", "experiments/quantum_surgery/README.md": "2c9c712cb99788bb331ebf40cd7e440bfa04666add75c9238a2646f12198edce", "experiments/quantum_surgery/fixture.json": "c6f5f162a72331f48db888106a9fd7870005883838136603bf53b2f4eba62198", "experiments/quantum_surgery/run.py": "24aa7025bfae88e4e601aee1cbcbf60f3e43220880662ff592917c79be21c192", "experiments/section15/README.md": "37849f959764bb6801c68c5af94edd369224c42152625b6876b9437e58d40387", "experiments/section15/historical-table.json": "91ecc5703fe0089940825f8e165ab88e0693535067e8ca080736a0895f164011", "experiments/section15_quantum/README.md": "72be417c8d03f743ae056a2bb4b8b4a4f73047e3c368980c54f16569bb203322", "experiments/section15_quantum/check.py": "e0966000c16b3f34ed36102a8c38d00aa602e8e7fd3e5e605341bc7bf43896ba", "experiments/section15_quantum/evaluate.py": "fee7dae3a298deaf0520fe09ceb0d584306c63937fa923ba4d03729a6cdacf81", "experiments/section30/README.md": "43f5c6dff6040f1946a961668bad19b80cf54248115bb910d55ea656dfef6724", "experiments/section9/README.md": "a69e69a7135107b04481f26a84e62336086d7002bad5c75f7c29f3d79664fd36", "experiments/section9/barrier_run.py": "e9f1f772f9cfa5bb74637926b868d5f6cc1049c3cc4372faf8bbe750afc83c60", "experiments/section9/run.py": "91525e17669887d7863834a3322207088c7ff4dbf4b4f8348a67b529a6142a19", "experiments/torus_campaign/README.md": "cb32059b9558a946c955981346fdb9ee72c3f305e7a8760e134b99c4c8ce3de4", "experiments/torus_campaign/run.py": "f80154b6d7c9b60e2fa2c74a898fa096d0e03e3f36719df6c7802382441cb8fe", "packages/volume-toolkit/LICENSE": "14c0fc10e8db2ba14a669b9939a69f22e729cdaecec1e8bde47d2b959ac5be38", "packages/volume-toolkit/ideal_poly_volume_toolkit/angle_barrier.py": "d782aff2a23c9073c6f7cf02666cc0ec3f4446f28185c7474116fcf42edbbd07", "packages/volume-toolkit/ideal_poly_volume_toolkit/variational.py": "f964764a992089b3725205d0730d27e1254f2b3b9ea17e73eaccae9465e9a07b", "site/book/edition.css": "779222ec7ea3de9d3e6e6a7f07ae3dfa1ac6367902e1ddf1d52a1d7f1b0e5ef3", "site/book/downloads.json": "5dfbce55a16d8b73fd2784a85b48fa869f757259e992f851d8379ee96fc3dc70", "site/book/search.js": "0681c803353ebd829920f8ad0a8480691245e92f02e8439e7ea6b0ebfb8fb3c2", "site/build_book.py": "b7a004518b8bec542e07e69a37405782a4659d1e987fc942be189f54a4621124", "site/build_section9.py": "b01681557e5acde91dac749065b9ef787edd03cb3a5b4fa21f77aff9e0cc63a5", "site/build_preview.py": "d68aca41430476139464c2b4cd636024d5a0462e66161dfc372f3202049557c9" }, "historical_section9_sha256": { "site/section9/assets/section9-figure-1.png": "ff955ac87063f13e1d698a1085ac18f30f6b643f818db8a57eb8ac6b0528336f", "site/section9/assets/section9-figure-2.png": "cd534d247190d9b257611f6e775a5d6d89d2cdfcaa06f8275baede2fe718197d", "site/section9/assets/section9.css": "aae27cd011f0d53aeb109ccaafbbe26e5a4c26eb2d9cb28c3aea78ec951f8b01", "site/section9/barrier.html": "db1646afdcf7b5ccd95c8c3d9bd0f25bc3a8523a70abb682057c0e3087cfae1d", "site/section9/chapter.html": "d8e79d7ee395923059a262c897b413dfe8cb85c4777496595c55dfafa11585a4", "site/section9/downloads/angle_barrier.py": "d782aff2a23c9073c6f7cf02666cc0ec3f4446f28185c7474116fcf42edbbd07", "site/section9/downloads/barrier-fixtures.json": "fdd1cd88cec4398199e46c8a38cfec2955f0118672972bfceb5ab732b86aec1a", "site/section9/downloads/barrier-reproduction.zip": "3927145433f4039b03f3649f6cf3c2e2db3f1b01456b0cd5ff530e383dc9955d", "site/section9/downloads/barrier-result.json": "b7d680717a5de790a146c584f66e955fb515449cc583adfa9e3c4543d692f798", "site/section9/downloads/barrier_run.py": "e9f1f772f9cfa5bb74637926b868d5f6cc1049c3cc4372faf8bbe750afc83c60", "site/section9/downloads/chapter-build.json": "222bf4ff16d3273d2acf3e36b1d4e0a26aa98fa52cbbd98bb77fb943fb55c899", "site/section9/downloads/companion-reconciliation.md": "f6c4ad1da9c4b0033c78f2ec8b90e914c30269dc8ee118c0f9d36b87bcbd6a9f", "site/section9/downloads/fixture.json": "70349bb959ac7169202cb9304d9e3ce8f414a693626a7a3c06a38ded276269a1", "site/section9/downloads/inspection/book/chapters/09-volume-hessians.tex": "5f61c653a5cd26bfa5e1a5b436c621b7d72436af46abd3d0b63c5cb401483b00", "site/section9/downloads/inspection/docs/execution/2026-10-31/section9-rereview.md": "b70f2732abb557b6c57b7498d33cfa56c9e917291793f5de5ac6be05378bba06", "site/section9/downloads/inspection/docs/execution/2026-10-31/section9-review.md": "1e25af61ed2c6856272e8f2ce930424ffd17da89d975fe77d33a08edd78871aa", "site/section9/downloads/inspection/docs/execution/numerical-correctness-2026-10-31/closeout.md": "5fd344ccb3aa05303021486008c33dd0bfd01f8ed96a773a432d900351840a0c", "site/section9/downloads/inspection/docs/execution/section9-barrier-2026-10-31/barrier-publication-review.md": "7162f2b137e17ac3364bb7a8c5b3bc6109794e1d88befb02a39555e72464683b", "site/section9/downloads/inspection/docs/execution/section9-barrier-2026-10-31/barrier-review.md": "97f76974beb3d0eacab67fbbd01b5afc4c1580ed3e9786b04d1d017067d0cc1f", "site/section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/companion-audit.md": "b6565bf58cd96b2210fd086c44b3cf0a2d90cac727ca7d1a344907d009204b77", "site/section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/companion_reference_probes.json": "a7cd2000192a53f247bdd227178198cd79ada1157fbf9f3fe36cc55be6825e62", "site/section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/math-audit-checks.json": "166eca3c97dfa34d22aa51c11021d3a0f5f7b4bd29e183004abc2d47127b1ce5", "site/section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/math-audit-checks.py": "8b8ed3970a0c15179cc5879616ab371d4763fe956cb27ae10956ad51026bc6bd", "site/section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/math-audit.md": "b35ce184791dfe5fa7ac78364929601039052e6bb5a79e2a50a9da9655c81df3", "site/section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/proof-review.md": "043780260852e24fcda41d3f7e36ee9385d393eb8a62456782c2636f6ff00aef", "site/section9/downloads/inspection/experiments/section9/barrier-fixtures.json": "fdd1cd88cec4398199e46c8a38cfec2955f0118672972bfceb5ab732b86aec1a", "site/section9/downloads/inspection/experiments/section9/barrier_run.py": "e9f1f772f9cfa5bb74637926b868d5f6cc1049c3cc4372faf8bbe750afc83c60", "site/section9/downloads/inspection/experiments/section9/fixture.json": "70349bb959ac7169202cb9304d9e3ce8f414a693626a7a3c06a38ded276269a1", "site/section9/downloads/inspection/experiments/section9/run.py": "91525e17669887d7863834a3322207088c7ff4dbf4b4f8348a67b529a6142a19", "site/section9/downloads/inspection/packages/volume-toolkit/ideal_poly_volume_toolkit/angle_barrier.py": "d782aff2a23c9073c6f7cf02666cc0ec3f4446f28185c7474116fcf42edbbd07", "site/section9/downloads/inspection/packages/volume-toolkit/ideal_poly_volume_toolkit/variational.py": "f964764a992089b3725205d0730d27e1254f2b3b9ea17e73eaccae9465e9a07b", "site/section9/downloads/inspection/packages/volume-toolkit/tests/test_angle_barrier.py": "31d9bd367799b9d6016dddefc255c27635e78046f33fd7c9bfa424f86b0d7a45", "site/section9/downloads/inspection/packages/volume-toolkit/tests/test_variational.py": "fffdb72c8907749a03e031c572d3bb928976ee6844ff0ca7b79d17b913b8a7fa", "site/section9/downloads/monograph-source.zip": "ac294eb06ba3e9bf400aeda84347922721f265220658af58eb332d52ba94b324", "site/section9/downloads/polyhedral_volumes_and_geodesic_identities.pdf": "40dd069bd2653f9a78666a31f53910d74b7f8de2a4a75d5a5dd62466032a6cd5", "site/section9/downloads/polyhedral_volumes_and_geodesic_identities.tex": "3b3b93d26764392353030a30ef4569360d051e0d78d6e5eb7fd6bef1f96de546", "site/section9/downloads/reproduction-guide.md": "a69e69a7135107b04481f26a84e62336086d7002bad5c75f7c29f3d79664fd36", "site/section9/downloads/result.json": "e6aa3b68d0e7f7bbcb326f0d2b1e76245aa1ee6e728dcb7173f5bc9541782f85", "site/section9/downloads/run.py": "91525e17669887d7863834a3322207088c7ff4dbf4b4f8348a67b529a6142a19", "site/section9/downloads/section9-claims.json": "255ed6ebb0c3eb1c7714d238f2829f6115487817408545e40461ef87b47b5c73", "site/section9/downloads/section9-reproduction.zip": "0f2f6f343c9900762a6d8171065ab05141f79cacf37eae528c347c16b7a36fa9", "site/section9/downloads/section9.pdf": "9db08eec8405c637c8ac79ad0afcaaa4b4bf810435463dbb3361fee7616975f0", "site/section9/downloads/variational.py": "f964764a992089b3725205d0730d27e1254f2b3b9ea17e73eaccae9465e9a07b", "site/section9/index.html": "6efe0b04695c48d3ec9df58230bf74c7ebdfa2afa4cb61ed98beab3e97fc19e3", "artifacts/section9/result.json": "e6aa3b68d0e7f7bbcb326f0d2b1e76245aa1ee6e728dcb7173f5bc9541782f85", "artifacts/section9/barrier-result.json": "b7d680717a5de790a146c584f66e955fb515449cc583adfa9e3c4543d692f798" }, "historical_section9_checkpoint_sha256": "25763353cf80d551047cc94f70edbbec69b3a9d3b8810362992a0e51cfa0d779", "compilation": { "operation": "polyhedra-complete-local-working-edition-v1", "stage": "fresh full-book and diagram compilation", "source_sha256": { "book/main.tex": "be3c45c0c4e3105d5e5275b2bbfefed5b8a79e088a456b83a8ea81dcce89a99d", "book/polyhedral_volumes_and_geodesic_identities.tex": "05dffe181160a6193462b5aa0b5088ebf29b403cb3db67c0da041198e7e507aa", "book/chapters/01-volume-normalization.tex": "b35a17e1dce5aa276d915e67eff0d15926da7c4180a32f9ffa9706476c2fe095", "book/chapters/02-ideal-angle-cells.tex": "968ea966c452494a299be719165b5ac25c5ebd70e31e8bfd974705b763f9644d", "book/chapters/03-ideal-tetrahedron.tex": "81c51ade3378fbfd4baff1cebeb2dcdd8b0fd43a032ac45fb3b30c4908060797", "book/chapters/04-hyperideal-integrand.tex": "94da7f5288e0b6c606ff7d1a80516bc421e1de1a801e83873a0c9a25af7946b5", "book/chapters/05-boundary-cone-continuation.tex": "feee80182603e334d8cda389435a43a8b9d37192b581befd1e761c03b93e51d5", "book/chapters/06-torus-sphere.tex": "4a60370b881044ff89f45bbe51a171f04fb315b3be9317468a6cf212e8fd2947", "book/chapters/07-euclidean-periods.tex": "046ae8e6ba6a4c3ce46a23e8fd2138cdade3be33b600ba74fecb0069d7d574b9", "book/chapters/08-wp-flat-limit.tex": "1a175315aa975708a5c93151b9ae107b7dd36f79720dae7c7264adda062a6283", "book/chapters/09-volume-hessians.tex": "15b8c3324ec9e1acf7a7926e4c0443db0a22db1648240a3d1790e178bbb5d056", "book/chapters/10-quantum-introduction.tex": "d8fe0bb6f6698a3c50865ae2cf0cac029f4a26c30f46fa71de1907d1ffd48fa3", "book/chapters/11-quantum-degeneration.tex": "910a1a2003b79ee6cc96787d22cf6b12944c0c7b369ca316fec2c5aa210aa080", "book/chapters/12-quantum-boundary-measure.tex": "7dfd05ded3cb51c6697cae5787d2ba15b93f12f6d918c976dc3e25ec889144db", "book/chapters/13-four-point-fusion.tex": "d19b0ceaba665faabfbbcc7c73fced86ce7613a20f039aef962255c07d6c0106", "book/chapters/14-normalized-quantum-comparison.tex": "0525eaef04fd63396a14630fe2399d0c352b86961730fa5c6a259126289df237", "book/chapters/15-quantum-airy.tex": "efee2c699923ab31e4d7d48eeac57c60bf2ea088ea4ff17e617b9ed97202d6dd", "book/chapters/16-dehn-filling-response.tex": "9b885422342f706d4f7d06fafa4dec7509a69be1aec7133c6377346459635731", "book/chapters/17-unfolding-constant-series.tex": "7b3e784b9b6f7ace3f402afca0a402e5cc354fd118d751b07b6a8bad707a4e88", "book/chapters/18-figure-eight-curves.tex": "db8fd09066b6b80bb1e231587ad0f740d6d37aad91cd20ae29e4bde95fc08cbc", "book/chapters/19-pants-twists.tex": "07292527452fe2e728eba6cc917f548ebd7f9551ac2849d7e5a1b1b7158080dd", "book/chapters/20-torus-twist-series.tex": "841fe98f4e7140ef6b6db82214f9e7d78d9c311888a2d2851e02e61eda6ab4e9", "book/chapters/21-cuff-matching.tex": "2988997ebd215ad77c6153309712ed557c139b2af8c13c4ca86fb2a865e84f90", "book/chapters/22-cusps-orthospectrum.tex": "bb3a234029d2b95b6c40eee4cbeee0199d4740a84326cd0595163dcbc6730557", "book/chapters/23-trace-coefficients.tex": "56e59ccb2e65f16393d72511ec0a4b62e51411b71b3bc9038fb3f5579b93670b", "book/chapters/24-quantitative-counting.tex": "4099f91c4abddf5f2a13831e48d7d52ac4d90af137068b969ca612fc6b273c58", "book/chapters/25-global-coefficient-filters.tex": "c876c43ce0d738ea4fa4780713753c3c9c48efdcf788cc9e305ac5011af732e2", "book/chapters/26-counting-to-mixing.tex": "64562ebf631c59b84b9c991a632926107b3e24cb5b08b29c21e263bd50a9e901", "book/chapters/27-weighted-mixing-converse.tex": "79fb4660fe87a5723eea0d410e55e954913b0386057a31542473d6486492dcc1", "book/chapters/28-genus-two-model.tex": "0383f71af0980643fdab7c5be47fa0055078fc203f1670acad0a8fc7127f2136", "book/chapters/29-controlled-observables.tex": "8c26fb3e18186d95ead2ae71eebd601966855d1bf0f9f7ed662f9996ab3b49f1", "book/chapters/30-sharp-diagnostics.tex": "323849154e2a1e8518095b9a5bc2fa5ebf9e798d2c2166bfdae65f56b3563a68", "book/chapters/31-arithmetic-remainder.tex": "1a2da9895ced25170fa0d748326c3aee7c72363745770bcca0b1baba974be40b", "book/chapters/32-open-questions.tex": "da1dbec5377e48b044d635ce0a229ec336c4cb5e8a986cbe6a0bf2b17ea28029", "book/chapters/appendix-a-fricke.tex": "61bde2f802c7c5cb931d6bc5c4528e82459392e803b2a7aaf1a7d5afc4fb7e5f", "book/chapters/appendix-b-conventions.tex": "6cdcee282d3b3a5cc4a139a73671c657b432807de937f69c8a5a302dea798add" }, "pdf": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/pdf/main.pdf", "pdf_sha256": "959a27f7559e571faaacebd561133f2e53c6847f99b0c5757d12f4ec467ae2f8", "aux": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/pdf/main.aux", "aux_sha256": "b4edf252ab6b04433a35b0fededa1869bd4e639b87f413df4c45b1a4b1979c64", "figures": [ { "source": "book/polyhedral_volumes_and_geodesic_identities.tex", "ordinal": 1, "tikz_sha256": "070ea5cd9861fbea2bff2798a86aa4b3759cec85ef118bf00ce39c93c10f3117", "file": "assets/figure-01.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-01/figure.png", "sha256": "c5248baa1c2714efeecb867e81c7708b7e08bfdebe496a62cb250aa76850d9cf", "width": 1263, "height": 1054, "dpi": 240 }, { "source": "book/chapters/07-euclidean-periods.tex", "ordinal": 1, "tikz_sha256": "f598ec80810b91388e06aa647c2cb349a33156e0943308ff68e2f5e95ee4c875", "file": "assets/figure-02.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-02/figure.png", "sha256": "051100fdeca219456c0e00227d275eb106ebdb1035d1236e19728579494434d7", "width": 1138, "height": 872, "dpi": 240 }, { "source": "book/chapters/09-volume-hessians.tex", "ordinal": 1, "tikz_sha256": "fc455d9fcfcf6462385a5699ed9768a7545f9a0fc2a839e95a3eb71cb8490979", "file": "assets/figure-03.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-03/figure.png", "sha256": "ff955ac87063f13e1d698a1085ac18f30f6b643f818db8a57eb8ac6b0528336f", "width": 1224, "height": 634, "dpi": 240 }, { "source": "book/chapters/09-volume-hessians.tex", "ordinal": 2, "tikz_sha256": "26655a8340378d8a21bf1079a4a92752663aa853c6e4ed3d08b9a5eb6be8f5c5", "file": "assets/figure-04.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-04/figure.png", "sha256": "cd534d247190d9b257611f6e775a5d6d89d2cdfcaa06f8275baede2fe718197d", "width": 1186, "height": 580, "dpi": 240 }, { "source": "book/chapters/10-quantum-introduction.tex", "ordinal": 1, "tikz_sha256": "335675c10cd5cdd22ab26cf6cf1da604dd4a2039c14cb6eedbdd21ff3298008f", "file": "assets/figure-05.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-05/figure.png", "sha256": "8849f683d2a4871de0f11b4ab5c9e70f52ec0f77c590cb679017b8b1eabf37c2", "width": 1251, "height": 563, "dpi": 240 }, { "source": "book/chapters/16-dehn-filling-response.tex", "ordinal": 1, "tikz_sha256": "bbfd3ab92c5f73489c8a225ccb5392b44ee71d98f654330ced740eb1bb5554f0", "file": "assets/figure-06.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-06/figure.png", "sha256": "81eefb4b2d4e6bd02eb206c3d352e35f7f39fad610f57fa1cea98046f6f2dd22", "width": 1351, "height": 477, "dpi": 240 }, { "source": "book/chapters/23-trace-coefficients.tex", "ordinal": 1, "tikz_sha256": "6a594eacfc33df0f62ae3a311e72d846cfb8cb5905eb2fe708ab792f87212d9b", "file": "assets/figure-07.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-07/figure.png", "sha256": "fab7500765d9a2169540ecc55faed1b79cbdf2a87322d1a8e382ffa307d07697", "width": 1286, "height": 708, "dpi": 240 }, { "source": "book/chapters/28-genus-two-model.tex", "ordinal": 1, "tikz_sha256": "45ce93e8183051667590e6577b898d8039b0d902afdfeff9f33d0be20331b796", "file": "assets/figure-08.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-08/figure.png", "sha256": "4a32927a69716a9cc3c6bbacfee825d5cd4309ec4601401242527b21cfb6caf2", "width": 1262, "height": 893, "dpi": 240 }, { "source": "book/chapters/30-sharp-diagnostics.tex", "ordinal": 1, "tikz_sha256": "bdd34da0be3f1e3cf864f50b4e8cfd6e24c34ed55c1af14c76057d916d56ec78", "file": "assets/figure-09.png", "path": "/Volumes/Lexar/lambda/devel/polyhedra/execution/editorial-local-release-2026-11-02/licensed-edition-build/figure-09/figure.png", "sha256": "262e32b2146b6b6037bd0feb2e1b28cd7c9dac056407628fb9624dc02730d218", "width": 1346, "height": 513, "dpi": 240 } ], "tool_versions": { "latexmk": { "executable": "/Library/TeX/texbin/latexmk", "version": "Latexmk, John Collins, 27 Dec. 2024. Version 4.86a" }, "pandoc": { "executable": "/opt/homebrew/bin/pandoc", "version": "pandoc 3.12.1" }, "gs": { "executable": "/usr/local/bin/gs", "version": "10.04.0" } } }, "canonical_metadata": { "author": "Igor Rivin", "affiliation_lines": [ "Department of Mathematics, Temple University" ], "date": "30 October 2026" }, "tool_versions": { "latexmk": { "executable": "/Library/TeX/texbin/latexmk", "version": "Latexmk, John Collins, 27 Dec. 2024. Version 4.86a" }, "pandoc": { "executable": "/opt/homebrew/bin/pandoc", "version": "pandoc 3.12.1" }, "gs": { "executable": "/usr/local/bin/gs", "version": "10.04.0" } }, "verification": { "html_pages": 41, "book_pages": 36, "source_labels": 613, "bibliography_entries": 129, "mathml_nodes": 4729, "figures": 9, "tables": 8, "local_links_and_search_targets": 3317, "search_passages": 1242, "browser_verification": "not performed by this builder; static checks are separate" }, "label_pages": { "sec:monographintro": "introduction.html", "fig:mono-connections": "introduction.html", "sec:conventions": "01-volume-normalization.html", "eq:fn": "01-volume-normalization.html", "eq:basevolumes": "01-volume-normalization.html", "sec:idealcells": "02-ideal-angle-cells.html", "eq:rivinangles1": "02-ideal-angle-cells.html", "eq:rivinangles2": "02-ideal-angle-cells.html", "eq:rivinangles3": "02-ideal-angle-cells.html", "eq:deltameasure": "02-ideal-angle-cells.html", "eq:polyhedralpartition": "02-ideal-angle-cells.html", "sec:tetrahedron": "03-ideal-tetrahedron.html", "eq:penner": "03-ideal-tetrahedron.html", "eq:lambdagauge": "03-ideal-tetrahedron.html", "eq:tetdensity": "03-ideal-tetrahedron.html", "eq:onecell": "03-ideal-tetrahedron.html", "eq:v04direct": "03-ideal-tetrahedron.html", "sec:hyperideal": "04-hyperideal-integrand.html", "eq:qvertices": "04-hyperideal-integrand.html", "eq:truncationlengths": "04-hyperideal-integrand.html", "eq:gram": "04-hyperideal-integrand.html", "eq:boundarykernel": "04-hyperideal-integrand.html", "eq:hyperidealdensity": "04-hyperideal-integrand.html", "eq:gramdensity": "04-hyperideal-integrand.html", "eq:pfaffiandensity": "04-hyperideal-integrand.html", "eq:buddidentity": "04-hyperideal-integrand.html", "eq:treevolume": "04-hyperideal-integrand.html", "sec:cones": "05-boundary-cone-continuation.html", "eq:gb": "05-boundary-cone-continuation.html", "eq:wpclass": "05-boundary-cone-continuation.html", "eq:intersectionvolume": "05-boundary-cone-continuation.html", "eq:mixedv04": "05-boundary-cone-continuation.html", "eq:wallclass": "05-boundary-cone-continuation.html", "eq:conev04": "05-boundary-cone-continuation.html", "eq:kernelcontinuation": "05-boundary-cone-continuation.html", "sec:torussphere": "06-torus-sphere.html", "eq:commonorbifold": "06-torus-sphere.html", "eq:lengthtorussphere": "06-torus-sphere.html", "eq:voltorussphere": "06-torus-sphere.html", "eq:conetorus": "06-torus-sphere.html", "sec:thurstonDM": "07-euclidean-periods.html", "eq:flatweights": "07-euclidean-periods.html", "eq:flatconemetric": "07-euclidean-periods.html", "fig:mono-polyhedral-regimes": "07-euclidean-periods.html", "eq:DMdifferential": "07-euclidean-periods.html", "eq:DMperiods": "07-euclidean-periods.html", "eq:DMarea": "07-euclidean-periods.html", "eq:CHpotential": "07-euclidean-periods.html", "eq:vanishingperiod": "07-euclidean-periods.html", "eq:INT": "07-euclidean-periods.html", "eq:ellipticDM": "07-euclidean-periods.html", "eq:ellipticperiodratio": "07-euclidean-periods.html", "sec:flatlimit": "08-wp-flat-limit.html", "eq:anglepath": "08-wp-flat-limit.html", "eq:areapath": "08-wp-flat-limit.html", "eq:unitareanormalization": "08-wp-flat-limit.html", "eq:flatmetriclimit": "08-wp-flat-limit.html", "eq:localWPCHlimit": "08-wp-flat-limit.html", "eq:CHclassB": "08-wp-flat-limit.html", "eq:CHintersection": "08-wp-flat-limit.html", "eq:Xiclass": "08-wp-flat-limit.html", "eq:exactWPclassflat": "08-wp-flat-limit.html", "eq:exactWPvolumeflat": "08-wp-flat-limit.html", "eq:WPCHvolumeasymptotic": "08-wp-flat-limit.html", "eq:finalchamberwidth": "08-wp-flat-limit.html", "eq:equalflatvolume": "08-wp-flat-limit.html", "eq:McMullenpartitionvolume": "08-wp-flat-limit.html", "sec:ipolybridge": "09-volume-hessians.html", "subsec:ipolyCoordinates": "09-volume-hessians.html", "eq:ipolyFEM": "09-volume-hessians.html", "eq:ipolyDelaunayweight": "09-volume-hessians.html", "eq:ipolyAngleCoordinates": "09-volume-hessians.html", "prop:ipolyHessian": "09-volume-hessians.html", "eq:ipolyHessian": "09-volume-hessians.html", "eq:ipolyWeightLower": "09-volume-hessians.html", "eq:ipolyNewton": "09-volume-hessians.html", "fig:mono-cotangent-hessian": "09-volume-hessians.html", "subsec:ipolyResponse": "09-volume-hessians.html", "eq:ipolyDtN": "09-volume-hessians.html", "eq:ipolyBoundaryResponse": "09-volume-hessians.html", "eq:ipolySchur": "09-volume-hessians.html", "eq:ipolyGaussian": "09-volume-hessians.html", "eq:ipolyForestDeterminant": "09-volume-hessians.html", "subsec:ipolyBarrierComplexity": "09-volume-hessians.html", "eq:ipolyBarrier": "09-volume-hessians.html", "prop:ipolyCompatibility": "09-volume-hessians.html", "eq:ipolyCompatibility": "09-volume-hessians.html", "eq:ipolyStepBound": "09-volume-hessians.html", "subsec:ipolyFlips": "09-volume-hessians.html", "fig:mono-flip": "09-volume-hessians.html", "subsec:ipolyThreeManifolds": "09-volume-hessians.html", "eq:ipolyThreeDimensionalHessian": "09-volume-hessians.html", "subsec:ipolyComputation": "09-volume-hessians.html", "sec:quantumintro": "10-quantum-introduction.html", "sec:introrecoupling": "10-quantum-introduction.html", "eq:introrecoupling": "10-quantum-introduction.html", "eq:introqinteger": "10-quantum-introduction.html", "eq:introstatesum": "10-quantum-introduction.html", "sec:introinvariants": "10-quantum-introduction.html", "eq:introknotvolume": "10-quantum-introduction.html", "eq:introclosedvolume": "10-quantum-introduction.html", "sec:introfigureeight": "10-quantum-introduction.html", "eq:introfigureproduct": "10-quantum-introduction.html", "eq:introfigureintegral": "10-quantum-introduction.html", "eq:introfigurevolume": "10-quantum-introduction.html", "sec:introdilog": "10-quantum-introduction.html", "eq:introqpochhammer": "10-quantum-introduction.html", "eq:introBlochWigner": "10-quantum-introduction.html", "eq:introquantumshape": "10-quantum-introduction.html", "sec:introsemiclassical": "10-quantum-introduction.html", "eq:introsaddleintegral": "10-quantum-introduction.html", "eq:introgaussian": "10-quantum-introduction.html", "fig:mono-airy": "10-quantum-introduction.html", "sec:introCS": "10-quantum-introduction.html", "eq:introCSfunctional": "10-quantum-introduction.html", "eq:introNZpolarization": "10-quantum-introduction.html", "eq:introWKBstate": "10-quantum-introduction.html", "eq:introvolumeboundary": "10-quantum-introduction.html", "sec:introquantization": "10-quantum-introduction.html", "eq:introcommutator": "10-quantum-introduction.html", "eq:introfillingkernel": "10-quantum-introduction.html", "eq:introRTgrowth": "10-quantum-introduction.html", "sec:introLiouville": "10-quantum-introduction.html", "eq:introLiouvilleparameters": "10-quantum-introduction.html", "eq:introfusion": "10-quantum-introduction.html", "eq:introdoublesine": "10-quantum-introduction.html", "sec:introscreening": "10-quantum-introduction.html", "eq:introzeromode": "10-quantum-introduction.html", "eq:introfirstmoment": "10-quantum-introduction.html", "eq:introcurvaturemeasure": "10-quantum-introduction.html", "sec:introreadingguide": "10-quantum-introduction.html", "sec:quantumdegeneration": "11-quantum-degeneration.html", "eq:volumeconjecture": "11-quantum-degeneration.html", "eq:individualflatvolume": "11-quantum-degeneration.html", "eq:Kleinvolumeexpansion": "11-quantum-degeneration.html", "eq:Schlafli": "11-quantum-degeneration.html", "eq:firstcurvaturevolume": "11-quantum-degeneration.html", "eq:quantum6jstructure": "11-quantum-degeneration.html", "eq:jointscale": "11-quantum-degeneration.html", "eq:modelpartition": "11-quantum-degeneration.html", "eq:modelpartitionlimit": "11-quantum-degeneration.html", "sec:quantummeasure": "12-quantum-boundary-measure.html", "eq:Liouvilleflatparameters": "12-quantum-boundary-measure.html", "eq:LiouvilleGMC": "12-quantum-boundary-measure.html", "eq:GMCfirstmoment": "12-quantum-boundary-measure.html", "eq:unitvolumeLiouville": "12-quantum-boundary-measure.html", "eq:exactLiouvilleDM": "12-quantum-boundary-measure.html", "eq:exactLiouvillecurvature": "12-quantum-boundary-measure.html", "eq:flatSeibergbounds": "12-quantum-boundary-measure.html", "eq:onescreeningresidue": "12-quantum-boundary-measure.html", "eq:screeningDMperiods": "12-quantum-boundary-measure.html", "eq:fourpointLiouville": "12-quantum-boundary-measure.html", "eq:fourpointareaintegral": "12-quantum-boundary-measure.html", "eq:fourpointquantumDMdensity": "12-quantum-boundary-measure.html", "eq:torsionGoldman": "12-quantum-boundary-measure.html", "eq:torsionDMlimit": "12-quantum-boundary-measure.html", "eq:equalFricke": "12-quantum-boundary-measure.html", "eq:Frickeblowup": "12-quantum-boundary-measure.html", "eq:Frickeexpanded": "12-quantum-boundary-measure.html", "eq:Frickeperiodchart": "12-quantum-boundary-measure.html", "eq:Frickefirstcorrection": "12-quantum-boundary-measure.html", "eq:normalizedWKBkernel": "12-quantum-boundary-measure.html", "eq:kernelLiouvillemeasure": "12-quantum-boundary-measure.html", "eq:b6jparameterdictionary": "12-quantum-boundary-measure.html", "eq:auxiliaryGramobstruction": "12-quantum-boundary-measure.html", "eq:areaLiouvillecharge": "12-quantum-boundary-measure.html", "sec:screenedfusion": "13-four-point-fusion.html", "eq:screeningparameters": "13-four-point-fusion.html", "eq:screeningtransverse": "13-four-point-fusion.html", "eq:screeningtailinput": "13-four-point-fusion.html", "eq:screeningpolefamilies": "13-four-point-fusion.html", "eq:twoscreeningchannels": "13-four-point-fusion.html", "eq:gammaratio": "13-four-point-fusion.html", "eq:threepointscreeningresidues": "13-four-point-fusion.html", "eq:screeningexponentdifferences": "13-four-point-fusion.html", "eq:screeningHermitiancoefficients": "13-four-point-fusion.html", "eq:spectralonescreeningresidue": "13-four-point-fusion.html", "eq:screeningsbasis": "13-four-point-fusion.html", "eq:screeningVirasoroblocks": "13-four-point-fusion.html", "eq:screeningEulerarcs": "13-four-point-fusion.html", "eq:screeningtbasis": "13-four-point-fusion.html", "eq:screeningfusionrelation": "13-four-point-fusion.html", "eq:screeningfusionmatrix": "13-four-point-fusion.html", "eq:fusiondeterminant": "13-four-point-fusion.html", "eq:screeningsinefusion": "13-four-point-fusion.html", "eq:screeningareapairing": "13-four-point-fusion.html", "eq:complexbetaintegral": "13-four-point-fusion.html", "eq:screeningarcarea": "13-four-point-fusion.html", "eq:fusionHermitianidentity": "13-four-point-fusion.html", "eq:HermitianWronskian": "13-four-point-fusion.html", "eq:screeningWronskian": "13-four-point-fusion.html", "eq:general4DMdensity": "13-four-point-fusion.html", "eq:general4DMvolume": "13-four-point-fusion.html", "eq:equalweightfg": "13-four-point-fusion.html", "eq:equalweightlogsolutions": "13-four-point-fusion.html", "eq:equalweightlogfusion": "13-four-point-fusion.html", "eq:equalweightareaexact": "13-four-point-fusion.html", "eq:equalweightHermitian": "13-four-point-fusion.html", "eq:equalweightmonodromy": "13-four-point-fusion.html", "eq:equalweightdensityexplicit": "13-four-point-fusion.html", "sec:normalizedsixj": "14-normalized-quantum-comparison.html", "eq:TVnormalization": "14-normalized-quantum-comparison.html", "eq:TVunitarykernel": "14-normalized-quantum-comparison.html", "eq:TVreflectedlabels": "14-normalized-quantum-comparison.html", "eq:TVscreeningN": "14-normalized-quantum-comparison.html", "eq:TVfiniteN": "14-normalized-quantum-comparison.html", "eq:analytic6jscreening": "14-normalized-quantum-comparison.html", "eq:analytic6jpairing": "14-normalized-quantum-comparison.html", "eq:regularizedTVvector": "14-normalized-quantum-comparison.html", "eq:symmetric6jscreening": "14-normalized-quantum-comparison.html", "eq:continuedPlancherel": "14-normalized-quantum-comparison.html", "eq:screenedPlancherel": "14-normalized-quantum-comparison.html", "eq:screenedangleGram": "14-normalized-quantum-comparison.html", "eq:screenedplanarGram": "14-normalized-quantum-comparison.html", "eq:screenedranktwo": "14-normalized-quantum-comparison.html", "eq:screenedzerocofactors": "14-normalized-quantum-comparison.html", "eq:screenedclassicalpotential": "14-normalized-quantum-comparison.html", "eq:actualtetrahedralcharges": "14-normalized-quantum-comparison.html", "eq:regulartetrahedrongeometry": "14-normalized-quantum-comparison.html", "eq:regularareadihedral": "14-normalized-quantum-comparison.html", "eq:regularvolumebyarea": "14-normalized-quantum-comparison.html", "eq:regularsaddlequadratic": "14-normalized-quantum-comparison.html", "eq:regularcubicfold": "14-normalized-quantum-comparison.html", "eq:regularAiryvariable": "14-normalized-quantum-comparison.html", "eq:TVvolumehbar": "14-normalized-quantum-comparison.html", "eq:regularquantumintegrand": "14-normalized-quantum-comparison.html", "eq:correctquantumcoordinate": "14-normalized-quantum-comparison.html", "eq:exactintegrandquotient": "14-normalized-quantum-comparison.html", "eq:correctfoldarguments": "14-normalized-quantum-comparison.html", "sec:quantumAiry": "15-quantum-airy.html", "eq:realregularsymbol": "15-quantum-airy.html", "eq:externalpoleclearing": "15-quantum-airy.html", "eq:clearedregularsymbol": "15-quantum-airy.html", "prop:regularquantumAiry": "15-quantum-airy.html", "eq:quantumAirytheorem": "15-quantum-airy.html", "lem:stripdoubleSine": "15-quantum-airy.html", "eq:uniformstripSb": "15-quantum-airy.html", "eq:stripSbexactremainder": "15-quantum-airy.html", "eq:Sbremainderintegral": "15-quantum-airy.html", "eq:regularstripangles": "15-quantum-airy.html", "eq:fullsmoothquantumphase": "15-quantum-airy.html", "eq:clearedphaseamplitude": "15-quantum-airy.html", "eq:regularAiryamplitude": "15-quantum-airy.html", "eq:regularAiryderivatives": "15-quantum-airy.html", "eq:verticalphasegap": "15-quantum-airy.html", "eq:verticalphasepositivity": "15-quantum-airy.html", "eq:AiryGaussianbound": "15-quantum-airy.html", "eq:Airyweightedexpansion": "15-quantum-airy.html", "eq:Airyscaledquantum": "15-quantum-airy.html", "eq:Airycorrectionpolynomial": "15-quantum-airy.html", "sec:dehnresponse": "16-dehn-filling-response.html", "eq:dehnholonomy": "16-dehn-filling-response.html", "eq:dehncone": "16-dehn-filling-response.html", "eq:dehnvolumedifferential": "16-dehn-filling-response.html", "eq:realdehnlegendre": "16-dehn-filling-response.html", "eq:dehnsourcecore": "16-dehn-filling-response.html", "eq:dehnquadraticresponse": "16-dehn-filling-response.html", "eq:cuspHessian": "16-dehn-filling-response.html", "eq:cuspmatrixHessian": "16-dehn-filling-response.html", "eq:dehnprimitive": "16-dehn-filling-response.html", "eq:dehnsurgeryaction": "16-dehn-filling-response.html", "prop:dehncriticalvalue": "16-dehn-filling-response.html", "eq:dehnexactcriticalvolume": "16-dehn-filling-response.html", "eq:dehnenvelope": "16-dehn-filling-response.html", "eq:NZrealvolume": "16-dehn-filling-response.html", "fig:mono-dehn-filling": "16-dehn-filling-response.html", "eq:dehninversion": "16-dehn-filling-response.html", "eq:dehncriticalseries": "16-dehn-filling-response.html", "eq:dehnconeloss": "16-dehn-filling-response.html", "eq:dehnsmoothloss": "16-dehn-filling-response.html", "eq:dehnquartictensors": "16-dehn-filling-response.html", "eq:dehnquarticdictionary": "16-dehn-filling-response.html", "eq:closedquantumvolume": "16-dehn-filling-response.html", "eq:dehnquantumphase": "16-dehn-filling-response.html", "eq:dehnquantumexponent": "16-dehn-filling-response.html", "eq:dehnquantumresponse": "16-dehn-filling-response.html", "prop:dehnquantumconditional": "16-dehn-filling-response.html", "eq:dehnjacobian": "16-dehn-filling-response.html", "eq:dehntorsionsurgery": "16-dehn-filling-response.html", "eq:dehngaussiantorsion": "16-dehn-filling-response.html", "eq:figureeightNZcoefficients": "16-dehn-filling-response.html", "eq:figureeightfillingloss": "16-dehn-filling-response.html", "eq:figureeightdirectHessian": "16-dehn-filling-response.html", "eq:figureeightdirectquartic": "16-dehn-filling-response.html", "sec:NZsymplectic": "16-dehn-filling-response.html", "eq:NZmatrixpairing": "16-dehn-filling-response.html", "eq:NZboundarysymplectic": "16-dehn-filling-response.html", "eq:NZreciprocity": "16-dehn-filling-response.html", "eq:NZvolumeprimitive": "16-dehn-filling-response.html", "eq:NZcanonicalfilling": "16-dehn-filling-response.html", "eq:NZcanonicalkernel": "16-dehn-filling-response.html", "eq:NZgeneratingidentity": "16-dehn-filling-response.html", "eq:NZcanonicalaction": "16-dehn-filling-response.html", "eq:NZinvariantpotential": "16-dehn-filling-response.html", "eq:NZcoefficientcovariance": "16-dehn-filling-response.html", "eq:NZvolumenewpolarization": "16-dehn-filling-response.html", "eq:NZreducedHessian": "16-dehn-filling-response.html", "eq:NZMongeAmpere": "16-dehn-filling-response.html", "eq:NZnonlinearresponse": "16-dehn-filling-response.html", "eq:NZexactcurvature": "16-dehn-filling-response.html", "eq:NZcompatiblemetric": "16-dehn-filling-response.html", "eq:NZmulticuspHessian": "16-dehn-filling-response.html", "eq:NZhalfdensity": "16-dehn-filling-response.html", "sec:unfolding": "17-unfolding-constant-series.html", "eq:unfold": "17-unfolding-constant-series.html", "eq:recoverconstant": "17-unfolding-constant-series.html", "eq:torusunfold": "17-unfolding-constant-series.html", "eq:mcshane": "17-unfolding-constant-series.html", "eq:derivativeidentity": "17-unfolding-constant-series.html", "eq:variance": "17-unfolding-constant-series.html", "eq:dilogtorus": "17-unfolding-constant-series.html", "eq:luotan": "17-unfolding-constant-series.html", "sec:figures": "18-figure-eight-curves.html", "eq:figuretrace": "18-figure-eight-curves.html", "eq:twofigures": "18-figure-eight-curves.html", "eq:doublepants": "18-figure-eight-curves.html", "eq:htrace": "18-figure-eight-curves.html", "eq:nidentity": "18-figure-eight-curves.html", "eq:hidentity": "18-figure-eight-curves.html", "eq:universalkernel": "18-figure-eight-curves.html", "eq:allfigureidentity": "18-figure-eight-curves.html", "eq:fbound": "18-figure-eight-curves.html", "eq:kernelrelation": "18-figure-eight-curves.html", "eq:figurekerneltail": "18-figure-eight-curves.html", "eq:figurefiniteidentity": "18-figure-eight-curves.html", "sec:twists": "19-pants-twists.html", "eq:localdistance": "19-pants-twists.html", "eq:seam": "19-pants-twists.html", "eq:localdistancehessian": "19-pants-twists.html", "eq:traceword": "19-pants-twists.html", "eq:cosine": "19-pants-twists.html", "eq:twistunfold": "19-pants-twists.html", "eq:mellin": "19-pants-twists.html", "sec:exacttwist": "20-torus-twist-series.html", "eq:Atwist": "20-torus-twist-series.html", "eq:torustwist": "20-torus-twist-series.html", "eq:torustwistderivatives": "20-torus-twist-series.html", "eq:toruscoarea": "20-torus-twist-series.html", "eq:sechintegral": "20-torus-twist-series.html", "eq:sublevel": "20-torus-twist-series.html", "eq:betaintegral": "20-torus-twist-series.html", "eq:torusintegraltail": "20-torus-twist-series.html", "eq:Hkernel": "20-torus-twist-series.html", "eq:Hidentity": "20-torus-twist-series.html", "eq:Hpartialsumtail": "20-torus-twist-series.html", "eq:Kkernel": "20-torus-twist-series.html", "eq:Kidentity": "20-torus-twist-series.html", "sec:matching": "21-cuff-matching.html", "eq:endpointmatch": "21-cuff-matching.html", "eq:momentummatch": "21-cuff-matching.html", "sec:cusps": "22-cusps-orthospectrum.html", "eq:cuspray": "22-cusps-orthospectrum.html", "eq:cuspgap": "22-cusps-orthospectrum.html", "eq:cusplambda": "22-cusps-orthospectrum.html", "eq:toruscusplambda": "22-cusps-orthospectrum.html", "eq:cusporthoidentity": "22-cusps-orthospectrum.html", "eq:basmajian": "22-cusps-orthospectrum.html", "sec:coefficientdistributions": "23-trace-coefficients.html", "eq:coeffuncrossing": "23-trace-coefficients.html", "eq:coeffbasis": "23-trace-coefficients.html", "eq:coeffcurveexpansion": "23-trace-coefficients.html", "eq:coefftwistedSelberg": "23-trace-coefficients.html", "eq:coeffdistribution": "23-trace-coefficients.html", "lem:coefftriangularity": "23-trace-coefficients.html", "prop:coefffirstatom": "23-trace-coefficients.html", "eq:coefffirstatom": "23-trace-coefficients.html", "eq:coeffmomentratio": "23-trace-coefficients.html", "fig:mono-reconnection-atoms": "23-trace-coefficients.html", "eq:coeffbraceletpositive": "23-trace-coefficients.html", "prop:coeffgrowth": "23-trace-coefficients.html", "eq:coeffexponentialbound": "23-trace-coefficients.html", "eq:coeffMrbound": "23-trace-coefficients.html", "cor:coeffmeasuregrowth": "23-trace-coefficients.html", "eq:coeffmeasuregrowth": "23-trace-coefficients.html", "eq:coeffheatdefinition": "23-trace-coefficients.html", "eq:coeffLaplacedefinition": "23-trace-coefficients.html", "eq:coeffallchannelbound": "23-trace-coefficients.html", "eq:coefffullheatexpansion": "23-trace-coefficients.html", "prop:coeffheatfirst": "23-trace-coefficients.html", "eq:coeffheatfirst": "23-trace-coefficients.html", "eq:coeffLaplacefirst": "23-trace-coefficients.html", "eq:coefflengthlimits": "23-trace-coefficients.html", "eq:coeffChebyshev": "23-trace-coefficients.html", "eq:coeffsimplepowers": "23-trace-coefficients.html", "eq:coeffoddpowers": "23-trace-coefficients.html", "eq:coeffpowergenerating": "23-trace-coefficients.html", "eq:coeffpowerLaplace": "23-trace-coefficients.html", "eq:coeffpowerheat": "23-trace-coefficients.html", "eq:coefffigurepowers": "23-trace-coefficients.html", "eq:coefffigurecancellation": "23-trace-coefficients.html", "eq:coeffmetricvariation": "23-trace-coefficients.html", "eq:coeffWolpert": "23-trace-coefficients.html", "eq:coeffheatvariation": "23-trace-coefficients.html", "eq:coeffunorientedproduct": "23-trace-coefficients.html", "eq:coeffproductderivative": "23-trace-coefficients.html", "eq:coeffAdamsobstruction": "23-trace-coefficients.html", "sec:quantitativecounting": "24-quantitative-counting.html", "subsec:countknown": "24-quantitative-counting.html", "eq:countEMM": "24-quantitative-counting.html", "subsec:countlattice": "24-quantitative-counting.html", "prop:countall": "24-quantitative-counting.html", "eq:countall": "24-quantitative-counting.html", "eq:countsandwich": "24-quantitative-counting.html", "eq:countcellerror": "24-quantitative-counting.html", "subsec:countprimitive": "24-quantitative-counting.html", "eq:countprimitive": "24-quantitative-counting.html", "eq:counttorus": "24-quantitative-counting.html", "subsec:countnearcollision": "24-quantitative-counting.html", "prop:countnearcollision": "24-quantitative-counting.html", "eq:countpantsgap": "24-quantitative-counting.html", "eq:countnormalizedpants": "24-quantitative-counting.html", "eq:countnecessarytime": "24-quantitative-counting.html", "subsec:countuniformisolation": "24-quantitative-counting.html", "eq:counttracegapconstant": "24-quantitative-counting.html", "lem:counttracegap": "24-quantitative-counting.html", "eq:counttracegap": "24-quantitative-counting.html", "eq:countactiongap": "24-quantitative-counting.html", "eq:countuniformconstants": "24-quantitative-counting.html", "prop:countuniformisolation": "24-quantitative-counting.html", "eq:countuniformisolation": "24-quantitative-counting.html", "eq:countcertifiedtime": "24-quantitative-counting.html", "subsec:countsupport": "24-quantitative-counting.html", "eq:countsupportpartition": "24-quantitative-counting.html", "eq:countonesupport": "24-quantitative-counting.html", "eq:countsupportmobius": "24-quantitative-counting.html", "eq:countsupportfourier": "24-quantitative-counting.html", "eq:countsupportconditional": "24-quantitative-counting.html", "subsec:countdesmooth": "24-quantitative-counting.html", "eq:countshell": "24-quantitative-counting.html", "prop:countdesmooth": "24-quantitative-counting.html", "eq:countsmoothhypothesis": "24-quantitative-counting.html", "eq:countsharpconditional": "24-quantitative-counting.html", "sec:globalfilters": "25-global-coefficient-filters.html", "eq:globalmoments": "25-global-coefficient-filters.html", "eq:globalbounded": "25-global-coefficient-filters.html", "eq:globalweightseries": "25-global-coefficient-filters.html", "prop:globalonecrossing": "25-global-coefficient-filters.html", "eq:globalonecrossing": "25-global-coefficient-filters.html", "eq:globalfilteredheat": "25-global-coefficient-filters.html", "eq:globalresidual": "25-global-coefficient-filters.html", "eq:globalobstruction": "25-global-coefficient-filters.html", "eq:globalobstructionbound": "25-global-coefficient-filters.html", "eq:globalEuler": "25-global-coefficient-filters.html", "prop:globaldiagonal": "25-global-coefficient-filters.html", "eq:globaldiagonal": "25-global-coefficient-filters.html", "eq:globalEulerbound": "25-global-coefficient-filters.html", "eq:globalEulerhalfplane": "25-global-coefficient-filters.html", "eq:globalEulerinput": "25-global-coefficient-filters.html", "sec:countmixing": "26-counting-to-mixing.html", "subsec:countmixselberg": "26-counting-to-mixing.html", "prop:countmixselberg": "26-counting-to-mixing.html", "eq:countmixselbergcount": "26-counting-to-mixing.html", "eq:countmixselberggap": "26-counting-to-mixing.html", "eq:countmixselbergmixing": "26-counting-to-mixing.html", "eq:countmixselberglogderivative": "26-counting-to-mixing.html", "eq:countmixGN": "26-counting-to-mixing.html", "subsec:countmixfinite": "26-counting-to-mixing.html", "prop:countmixfinite": "26-counting-to-mixing.html", "eq:countmixtrace": "26-counting-to-mixing.html", "eq:countmixgap": "26-counting-to-mixing.html", "eq:countmixparry": "26-counting-to-mixing.html", "eq:countmixmatrixconstant": "26-counting-to-mixing.html", "subsec:countmixscalar": "26-counting-to-mixing.html", "subsec:countmixlocalized": "26-counting-to-mixing.html", "prop:countmixlocalized": "26-counting-to-mixing.html", "eq:countmixentry": "26-counting-to-mixing.html", "eq:countmixrate": "26-counting-to-mixing.html", "subsec:countmixnoncompact": "26-counting-to-mixing.html", "eq:countmixcusprate": "26-counting-to-mixing.html", "sec:pairconverse": "27-weighted-mixing-converse.html", "subsec:paircoefficients": "27-weighted-mixing-converse.html", "prop:pairfirstcorner": "27-weighted-mixing-converse.html", "subsec:pairgeometry": "27-weighted-mixing-converse.html", "eq:pairgeometryflow": "27-weighted-mixing-converse.html", "subsec:pairquotient": "27-weighted-mixing-converse.html", "subsec:pairliterature": "27-weighted-mixing-converse.html", "eq:pairquadrature": "27-weighted-mixing-converse.html", "eq:pairpoissonzero": "27-weighted-mixing-converse.html", "subsec:twopointkernel": "27-weighted-mixing-converse.html", "eq:twopointpolar": "27-weighted-mixing-converse.html", "eq:twopointkernel": "27-weighted-mixing-converse.html", "prop:twopointunfolding": "27-weighted-mixing-converse.html", "eq:twopointexact": "27-weighted-mixing-converse.html", "subsec:twopointdeaverage": "27-weighted-mixing-converse.html", "thm:twopointconverse": "27-weighted-mixing-converse.html", "eq:twopointcountassumption": "27-weighted-mixing-converse.html", "eq:twopointmixrate": "27-weighted-mixing-converse.html", "eq:twopointderivative": "27-weighted-mixing-converse.html", "eq:twopointpointwise": "27-weighted-mixing-converse.html", "subsec:twopointderivativeweight": "27-weighted-mixing-converse.html", "thm:twopointfullrate": "27-weighted-mixing-converse.html", "eq:twopointderivativecount": "27-weighted-mixing-converse.html", "eq:twopointfullrate": "27-weighted-mixing-converse.html", "eq:twopointfundamental": "27-weighted-mixing-converse.html", "eq:twopointfullidentity": "27-weighted-mixing-converse.html", "eq:twopointfullnorm": "27-weighted-mixing-converse.html", "eq:twopointfullcusprate": "27-weighted-mixing-converse.html", "subsec:twopointjacobian": "27-weighted-mixing-converse.html", "eq:twopointHM": "27-weighted-mixing-converse.html", "eq:twopointinverseHM": "27-weighted-mixing-converse.html", "eq:twopointcusprate": "27-weighted-mixing-converse.html", "eq:pairbruhat": "27-weighted-mixing-converse.html", "eq:pairkloosterman": "27-weighted-mixing-converse.html", "eq:pairkloostermansmooth": "27-weighted-mixing-converse.html", "sec:genus2markedtorus": "28-genus-two-model.html", "subsec:genus2compact": "28-genus-two-model.html", "subsec:genus2quadraticformula": "28-genus-two-model.html", "eq:genus2curve": "28-genus-two-model.html", "eq:genus2qformula": "28-genus-two-model.html", "eq:genus2order": "28-genus-two-model.html", "subsec:genus2twodouble": "28-genus-two-model.html", "eq:genus2cancel": "28-genus-two-model.html", "eq:genus2pillowmark": "28-genus-two-model.html", "subsec:genus2ellipticcover": "28-genus-two-model.html", "eq:genus2toruscover": "28-genus-two-model.html", "eq:genus2torusadmissible": "28-genus-two-model.html", "eq:genus2equalareas": "28-genus-two-model.html", "fig:mono-double-covers": "28-genus-two-model.html", "subsec:genus2homogeneous": "28-genus-two-model.html", "eq:genus2Y2": "28-genus-two-model.html", "eq:genus2homflow": "28-genus-two-model.html", "subsec:genus2haarmeasure": "28-genus-two-model.html", "subsec:markedtorusconverse": "28-genus-two-model.html", "eq:markedtorusfourier": "28-genus-two-model.html", "eq:markedtorusequivariance": "28-genus-two-model.html", "eq:markedtorusinduction": "28-genus-two-model.html", "eq:markedtorusalltempered": "28-genus-two-model.html", "eq:markedtorusKnorm": "28-genus-two-model.html", "eq:markedtorusXi": "28-genus-two-model.html", "thm:markedtorusmixing": "28-genus-two-model.html", "eq:markedtorusexplicitmix": "28-genus-two-model.html", "eq:markedtorusweight": "28-genus-two-model.html", "eq:markedtorusweightcoordinates": "28-genus-two-model.html", "eq:markedtorusexactcount": "28-genus-two-model.html", "eq:markedtoruscountremainder": "28-genus-two-model.html", "eq:markedtorusderivativeweight": "28-genus-two-model.html", "subsec:genus2torusscope": "28-genus-two-model.html", "sec:coefficientobservables": "29-controlled-observables.html", "subsec:normballbarrier": "29-controlled-observables.html", "eq:normballall": "29-controlled-observables.html", "eq:normballprimitive": "29-controlled-observables.html", "prop:normballflatrow": "29-controlled-observables.html", "eq:normballlowerpower": "29-controlled-observables.html", "subsec:normballspectral": "29-controlled-observables.html", "eq:normballfinitephase": "29-controlled-observables.html", "subsec:primitivepolebridge": "29-controlled-observables.html", "lem:primitivepolearcs": "29-controlled-observables.html", "eq:polearcflatlength": "29-controlled-observables.html", "eq:polearccoefficientweight": "29-controlled-observables.html", "eq:polearcobservable": "29-controlled-observables.html", "subsec:polearcnorms": "29-controlled-observables.html", "lem:polearcprimitivebound": "29-controlled-observables.html", "eq:polearcprimitivebound": "29-controlled-observables.html", "eq:polearcuniformS1": "29-controlled-observables.html", "eq:polearccorrelation": "29-controlled-observables.html", "eq:polearcKfixedcorrelation": "29-controlled-observables.html", "subsec:polearcterminal": "29-controlled-observables.html", "eq:polearclengthderivatives": "29-controlled-observables.html", "eq:polearcVnorms": "29-controlled-observables.html", "eq:polearcterminalidentity": "29-controlled-observables.html", "subsec:polearcscope": "29-controlled-observables.html", "subsec:affinedisplacements": "29-controlled-observables.html", "eq:affinesiegelisometry": "29-controlled-observables.html", "eq:affinesiegelexactcorr": "29-controlled-observables.html", "eq:affinegaussiancorr": "29-controlled-observables.html", "subsec:affineranktwo": "29-controlled-observables.html", "eq:affineranktwoobservable": "29-controlled-observables.html", "eq:affineranktwonorm": "29-controlled-observables.html", "eq:affineranktwoschwartz": "29-controlled-observables.html", "eq:affineranktwoKnorm": "29-controlled-observables.html", "subsec:affineranktwogaussian": "29-controlled-observables.html", "eq:affineranktwogaussiancorr": "29-controlled-observables.html", "subsec:affinesharprotation": "29-controlled-observables.html", "sec:sharpdiagnostics": "30-sharp-diagnostics.html", "subsec:mobiusmodulus": "30-sharp-diagnostics.html", "eq:primitiveexactnormalizedmobius": "30-sharp-diagnostics.html", "eq:primitiveDini": "30-sharp-diagnostics.html", "prop:strictconvexlittleo": "30-sharp-diagnostics.html", "subsec:rationalpolygonbenchmark": "30-sharp-diagnostics.html", "subsec:dyadicdiagnostic": "30-sharp-diagnostics.html", "eq:dyadicerrorinverse": "30-sharp-diagnostics.html", "eq:dyadicblockmetrics": "30-sharp-diagnostics.html", "subsec:inverseflatness": "30-sharp-diagnostics.html", "prop:inverseflatrow": "30-sharp-diagnostics.html", "eq:inverseflatwidth": "30-sharp-diagnostics.html", "eq:inverseflatdiscrepancy": "30-sharp-diagnostics.html", "eq:inverseflatmicroscopic": "30-sharp-diagnostics.html", "fig:mono-flat-row": "30-sharp-diagnostics.html", "subsec:flatnessmodels": "30-sharp-diagnostics.html", "eq:exponentialflatrow": "30-sharp-diagnostics.html", "subsec:rowdiagnostic": "30-sharp-diagnostics.html", "eq:primitiveintervalexact": "30-sharp-diagnostics.html", "subsec:torustraceexperiment": "30-sharp-diagnostics.html", "eq:diagnostictracetriples": "30-sharp-diagnostics.html", "subsec:recentflatnessqualification": "30-sharp-diagnostics.html", "sec:arithmeticgeometry": "31-arithmetic-remainder.html", "subsec:primitiveRHtransfer": "31-arithmetic-remainder.html", "prop:primitiveRHtransfer": "31-arithmetic-remainder.html", "eq:primitiveRHmaster": "31-arithmetic-remainder.html", "eq:primitiveRHpowerM": "31-arithmetic-remainder.html", "eq:primitiveRHmodulus": "31-arithmetic-remainder.html", "eq:primitiveDiniPNT": "31-arithmetic-remainder.html", "subsec:quasiRHapplication": "31-arithmetic-remainder.html", "eq:zeroFreeMertens": "31-arithmetic-remainder.html", "eq:primitiveRHgeometry": "31-arithmetic-remainder.html", "eq:primitiveRHlogresult": "31-arithmetic-remainder.html", "eq:primitiveRHbalancedpower": "31-arithmetic-remainder.html", "eq:allPointLogDiagnostic": "31-arithmetic-remainder.html", "sec:questions": "32-open-questions.html", "app:fricke": "appendix-a-fricke.html", "eq:fricke": "appendix-a-fricke.html", "eq:frickedensity": "appendix-a-fricke.html", "app:conventions": "appendix-b-conventions.html" }, "label_numbers": { "sec:monographintro": "", "fig:mono-connections": "1", "sec:conventions": "1", "eq:fn": "1.1", "eq:basevolumes": "1.2", "sec:idealcells": "2", "eq:rivinangles1": "2.1", "eq:rivinangles2": "2.2", "eq:rivinangles3": "2.3", "eq:deltameasure": "2.4", "eq:polyhedralpartition": "2.5", "sec:tetrahedron": "3", "eq:penner": "3.1", "eq:lambdagauge": "3.2", "eq:tetdensity": "3.3", "eq:onecell": "3.4", "eq:v04direct": "3.5", "sec:hyperideal": "4", "eq:qvertices": "4.1", "eq:truncationlengths": "4.2", "eq:gram": "4.3", "eq:boundarykernel": "4.4", "eq:hyperidealdensity": "4.5", "eq:gramdensity": "4.6", "eq:pfaffiandensity": "4.7", "eq:buddidentity": "4.8", "eq:treevolume": "4.9", "sec:cones": "5", "eq:gb": "5.1", "eq:wpclass": "5.2", "eq:intersectionvolume": "5.3", "eq:mixedv04": "5.4", "eq:wallclass": "5.5", "eq:conev04": "5.6", "eq:kernelcontinuation": "5.7", "sec:torussphere": "6", "eq:commonorbifold": "6.1", "eq:lengthtorussphere": "6.2", "eq:voltorussphere": "6.3", "eq:conetorus": "6.4", "sec:thurstonDM": "7", "eq:flatweights": "7.1", "eq:flatconemetric": "7.2", "eq:DMdifferential": "7.3", "eq:DMperiods": "7.4", "fig:mono-polyhedral-regimes": "2", "eq:DMarea": "7.5", "eq:CHpotential": "7.6", "eq:vanishingperiod": "7.7", "eq:INT": "7.8", "eq:ellipticDM": "7.9", "eq:ellipticperiodratio": "7.10", "sec:flatlimit": "8", "eq:anglepath": "8.1", "eq:areapath": "8.2", "eq:unitareanormalization": "8.3", "eq:flatmetriclimit": "8.4", "eq:localWPCHlimit": "8.5", "eq:CHclassB": "8.6", "eq:CHintersection": "8.7", "eq:Xiclass": "8.8", "eq:exactWPclassflat": "8.9", "eq:exactWPvolumeflat": "8.10", "eq:WPCHvolumeasymptotic": "8.11", "eq:finalchamberwidth": "8.12", "eq:equalflatvolume": "8.13", "eq:McMullenpartitionvolume": "8.14", "sec:ipolybridge": "9", "subsec:ipolyCoordinates": "9.1", "eq:ipolyFEM": "9.1", "eq:ipolyDelaunayweight": "9.2", "eq:ipolyAngleCoordinates": "9.3", "prop:ipolyHessian": "9.1", "eq:ipolyHessian": "9.4", "eq:ipolyWeightLower": "9.5", "eq:ipolyNewton": "9.6", "subsec:ipolyResponse": "9.2", "eq:ipolyDtN": "9.7", "fig:mono-cotangent-hessian": "3", "eq:ipolyBoundaryResponse": "9.8", "eq:ipolySchur": "9.9", "eq:ipolyGaussian": "9.10", "eq:ipolyForestDeterminant": "9.11", "subsec:ipolyBarrierComplexity": "9.3", "eq:ipolyBarrier": "9.12", "prop:ipolyCompatibility": "9.2", "eq:ipolyCompatibility": "9.13", "eq:ipolyStepBound": "9.14", "subsec:ipolyFlips": "9.4", "fig:mono-flip": "4", "subsec:ipolyThreeManifolds": "9.5", "eq:ipolyThreeDimensionalHessian": "9.15", "subsec:ipolyComputation": "9.6", "sec:quantumintro": "10", "sec:introrecoupling": "10.1", "eq:introrecoupling": "10.1", "eq:introqinteger": "10.2", "eq:introstatesum": "10.3", "sec:introinvariants": "10.2", "eq:introknotvolume": "10.4", "eq:introclosedvolume": "10.5", "sec:introfigureeight": "10.3", "eq:introfigureproduct": "10.6", "eq:introfigureintegral": "10.7", "eq:introfigurevolume": "10.8", "sec:introdilog": "10.4", "eq:introqpochhammer": "10.9", "eq:introBlochWigner": "10.10", "eq:introquantumshape": "10.11", "sec:introsemiclassical": "10.5", "eq:introsaddleintegral": "10.12", "eq:introgaussian": "10.13", "sec:introCS": "10.6", "eq:introCSfunctional": "10.14", "fig:mono-airy": "5", "eq:introNZpolarization": "10.15", "eq:introWKBstate": "10.16", "eq:introvolumeboundary": "10.17", "sec:introquantization": "10.7", "eq:introcommutator": "10.18", "eq:introfillingkernel": "10.19", "eq:introRTgrowth": "10.20", "sec:introLiouville": "10.8", "eq:introLiouvilleparameters": "10.21", "eq:introfusion": "10.22", "eq:introdoublesine": "10.23", "sec:introscreening": "10.9", "eq:introzeromode": "10.24", "eq:introfirstmoment": "10.25", "eq:introcurvaturemeasure": "10.26", "sec:introreadingguide": "10.10", "sec:quantumdegeneration": "11", "eq:volumeconjecture": "11.1", "eq:individualflatvolume": "11.2", "eq:Kleinvolumeexpansion": "11.3", "eq:Schlafli": "11.4", "eq:firstcurvaturevolume": "11.5", "eq:quantum6jstructure": "11.6", "eq:jointscale": "11.7", "eq:modelpartition": "11.8", "eq:modelpartitionlimit": "11.9", "sec:quantummeasure": "12", "eq:Liouvilleflatparameters": "12.1", "eq:LiouvilleGMC": "12.2", "eq:GMCfirstmoment": "12.3", "eq:unitvolumeLiouville": "12.4", "eq:exactLiouvilleDM": "12.5", "eq:exactLiouvillecurvature": "12.6", "eq:flatSeibergbounds": "12.7", "eq:onescreeningresidue": "12.8", "eq:screeningDMperiods": "12.9", "eq:fourpointLiouville": "12.10", "eq:fourpointareaintegral": "12.11", "eq:fourpointquantumDMdensity": "12.12", "eq:torsionGoldman": "12.13", "eq:torsionDMlimit": "12.14", "eq:equalFricke": "12.15", "eq:Frickeblowup": "12.16", "eq:Frickeexpanded": "12.17", "eq:Frickeperiodchart": "12.18", "eq:Frickefirstcorrection": "12.19", "eq:normalizedWKBkernel": "12.20", "eq:kernelLiouvillemeasure": "12.21", "eq:b6jparameterdictionary": "12.22", "eq:auxiliaryGramobstruction": "12.23", "eq:areaLiouvillecharge": "12.24", "sec:screenedfusion": "13", "eq:screeningparameters": "13.1", "eq:screeningtransverse": "13.2", "eq:screeningtailinput": "13.3", "eq:screeningpolefamilies": "13.4", "eq:twoscreeningchannels": "13.5", "eq:gammaratio": "13.6", "eq:threepointscreeningresidues": "13.7", "eq:screeningexponentdifferences": "13.8", "eq:screeningHermitiancoefficients": "13.9", "eq:spectralonescreeningresidue": "13.10", "eq:screeningsbasis": "13.11", "eq:screeningVirasoroblocks": "13.12", "eq:screeningEulerarcs": "13.13", "eq:screeningtbasis": "13.14", "eq:screeningfusionrelation": "13.15", "eq:screeningfusionmatrix": "13.16", "eq:fusiondeterminant": "13.17", "eq:screeningsinefusion": "13.18", "eq:screeningareapairing": "13.19", "eq:complexbetaintegral": "13.20", "eq:screeningarcarea": "13.21", "eq:fusionHermitianidentity": "13.22", "eq:HermitianWronskian": "13.23", "eq:screeningWronskian": "13.24", "eq:general4DMdensity": "13.25", "eq:general4DMvolume": "13.26", "eq:equalweightfg": "13.27", "eq:equalweightlogsolutions": "13.28", "eq:equalweightlogfusion": "13.29", "eq:equalweightareaexact": "13.30", "eq:equalweightHermitian": "13.31", "eq:equalweightmonodromy": "13.32", "eq:equalweightdensityexplicit": "13.33", "sec:normalizedsixj": "14", "eq:TVnormalization": "14.1", "eq:TVunitarykernel": "14.2", "eq:TVreflectedlabels": "14.3", "eq:TVscreeningN": "14.4", "eq:TVfiniteN": "14.5", "eq:analytic6jscreening": "14.6", "eq:analytic6jpairing": "14.7", "eq:regularizedTVvector": "14.8", "eq:symmetric6jscreening": "14.9", "eq:continuedPlancherel": "14.10", "eq:screenedPlancherel": "14.11", "eq:screenedangleGram": "14.12", "eq:screenedplanarGram": "14.13", "eq:screenedranktwo": "14.14", "eq:screenedzerocofactors": "14.15", "eq:screenedclassicalpotential": "14.16", "eq:actualtetrahedralcharges": "14.17", "eq:regulartetrahedrongeometry": "14.18", "eq:regularareadihedral": "14.19", "eq:regularvolumebyarea": "14.20", "eq:regularsaddlequadratic": "14.21", "eq:regularcubicfold": "14.22", "eq:regularAiryvariable": "14.23", "eq:TVvolumehbar": "14.24", "eq:regularquantumintegrand": "14.25", "eq:correctquantumcoordinate": "14.26", "eq:exactintegrandquotient": "14.27", "eq:correctfoldarguments": "14.28", "sec:quantumAiry": "15", "eq:realregularsymbol": "15.1", "eq:externalpoleclearing": "15.2", "eq:clearedregularsymbol": "15.3", "prop:regularquantumAiry": "15.1", "eq:quantumAirytheorem": "15.4", "lem:stripdoubleSine": "15.2", "eq:uniformstripSb": "15.5", "eq:stripSbexactremainder": "15.6", "eq:Sbremainderintegral": "15.7", "eq:regularstripangles": "15.8", "eq:fullsmoothquantumphase": "15.9", "eq:clearedphaseamplitude": "15.10", "eq:regularAiryamplitude": "15.11", "eq:regularAiryderivatives": "15.12", "eq:verticalphasegap": "15.13", "eq:verticalphasepositivity": "15.14", "eq:AiryGaussianbound": "15.15", "eq:Airyweightedexpansion": "15.16", "eq:Airyscaledquantum": "15.17", "eq:Airycorrectionpolynomial": "15.18", "sec:dehnresponse": "16", "eq:dehnholonomy": "16.1", "eq:dehncone": "16.2", "eq:dehnvolumedifferential": "16.3", "eq:realdehnlegendre": "16.4", "eq:dehnsourcecore": "16.5", "eq:dehnquadraticresponse": "16.6", "eq:cuspHessian": "16.7", "eq:cuspmatrixHessian": "16.8", "eq:dehnprimitive": "16.9", "eq:dehnsurgeryaction": "16.10", "prop:dehncriticalvalue": "16.1", "eq:dehnexactcriticalvolume": "16.11", "eq:dehnenvelope": "16.12", "eq:NZrealvolume": "16.13", "fig:mono-dehn-filling": "6", "eq:dehninversion": "16.14", "eq:dehncriticalseries": "16.15", "eq:dehnconeloss": "16.16", "eq:dehnsmoothloss": "16.17", "eq:dehnquartictensors": "16.18", "eq:dehnquarticdictionary": "16.19", "eq:closedquantumvolume": "16.20", "eq:dehnquantumphase": "16.21", "eq:dehnquantumexponent": "16.22", "eq:dehnquantumresponse": "16.23", "prop:dehnquantumconditional": "16.2", "eq:dehnjacobian": "16.24", "eq:dehntorsionsurgery": "16.25", "eq:dehngaussiantorsion": "16.26", "eq:figureeightNZcoefficients": "16.27", "eq:figureeightfillingloss": "16.28", "eq:figureeightdirectHessian": "16.29", "eq:figureeightdirectquartic": "16.30", "sec:NZsymplectic": "16.10", "eq:NZmatrixpairing": "16.31", "eq:NZboundarysymplectic": "16.32", "eq:NZreciprocity": "16.33", "eq:NZvolumeprimitive": "16.34", "eq:NZcanonicalfilling": "16.35", "eq:NZcanonicalkernel": "16.36", "eq:NZgeneratingidentity": "16.37", "eq:NZcanonicalaction": "16.38", "eq:NZinvariantpotential": "16.39", "eq:NZcoefficientcovariance": "16.40", "eq:NZvolumenewpolarization": "16.41", "eq:NZreducedHessian": "16.42", "eq:NZMongeAmpere": "16.43", "eq:NZnonlinearresponse": "16.44", "eq:NZexactcurvature": "16.45", "eq:NZcompatiblemetric": "16.46", "eq:NZmulticuspHessian": "16.47", "eq:NZhalfdensity": "16.48", "sec:unfolding": "17", "eq:unfold": "17.1", "eq:recoverconstant": "17.2", "eq:torusunfold": "17.3", "eq:mcshane": "17.4", "eq:derivativeidentity": "17.5", "eq:variance": "17.6", "eq:dilogtorus": "17.7", "eq:luotan": "17.8", "sec:figures": "18", "eq:figuretrace": "18.1", "eq:twofigures": "18.2", "eq:doublepants": "18.3", "eq:htrace": "18.4", "eq:nidentity": "18.5", "eq:hidentity": "18.6", "eq:universalkernel": "18.7", "eq:allfigureidentity": "18.8", "eq:fbound": "18.9", "eq:kernelrelation": "18.10", "eq:figurekerneltail": "18.11", "eq:figurefiniteidentity": "18.12", "sec:twists": "19", "eq:localdistance": "19.1", "eq:seam": "19.2", "eq:localdistancehessian": "19.3", "eq:traceword": "19.4", "eq:cosine": "19.5", "eq:twistunfold": "19.6", "eq:mellin": "19.7", "sec:exacttwist": "20", "eq:Atwist": "20.1", "eq:torustwist": "20.2", "eq:torustwistderivatives": "20.3", "eq:toruscoarea": "20.4", "eq:sechintegral": "20.5", "eq:sublevel": "20.6", "eq:betaintegral": "20.7", "eq:torusintegraltail": "20.8", "eq:Hkernel": "20.9", "eq:Hidentity": "20.10", "eq:Hpartialsumtail": "20.11", "eq:Kkernel": "20.12", "eq:Kidentity": "20.13", "sec:matching": "21", "eq:endpointmatch": "21.1", "eq:momentummatch": "21.2", "sec:cusps": "22", "eq:cuspray": "22.1", "eq:cuspgap": "22.2", "eq:cusplambda": "22.3", "eq:toruscusplambda": "22.4", "eq:cusporthoidentity": "22.5", "eq:basmajian": "22.6", "sec:coefficientdistributions": "23", "eq:coeffuncrossing": "23.1", "eq:coeffbasis": "23.2", "eq:coeffcurveexpansion": "23.3", "eq:coefftwistedSelberg": "23.4", "eq:coeffdistribution": "23.5", "lem:coefftriangularity": "23.2", "prop:coefffirstatom": "23.3", "eq:coefffirstatom": "23.6", "eq:coeffmomentratio": "23.7", "fig:mono-reconnection-atoms": "7", "eq:coeffbraceletpositive": "23.8", "prop:coeffgrowth": "23.4", "eq:coeffexponentialbound": "23.9", "eq:coeffMrbound": "23.10", "cor:coeffmeasuregrowth": "23.5", "eq:coeffmeasuregrowth": "23.11", "eq:coeffheatdefinition": "23.12", "eq:coeffLaplacedefinition": "23.13", "eq:coeffallchannelbound": "23.14", "eq:coefffullheatexpansion": "23.15", "prop:coeffheatfirst": "23.6", "eq:coeffheatfirst": "23.16", "eq:coeffLaplacefirst": "23.17", "eq:coefflengthlimits": "23.18", "eq:coeffChebyshev": "23.19", "eq:coeffsimplepowers": "23.20", "eq:coeffoddpowers": "23.21", "eq:coeffpowergenerating": "23.22", "eq:coeffpowerLaplace": "23.23", "eq:coeffpowerheat": "23.24", "eq:coefffigurepowers": "23.25", "eq:coefffigurecancellation": "23.26", "eq:coeffmetricvariation": "23.27", "eq:coeffWolpert": "23.28", "eq:coeffheatvariation": "23.29", "eq:coeffunorientedproduct": "23.30", "eq:coeffproductderivative": "23.31", "eq:coeffAdamsobstruction": "23.32", "sec:quantitativecounting": "24", "subsec:countknown": "24.1", "eq:countEMM": "24.1", "subsec:countlattice": "24.2", "prop:countall": "24.1", "eq:countall": "24.2", "eq:countsandwich": "24.3", "eq:countcellerror": "24.4", "subsec:countprimitive": "24.3", "eq:countprimitive": "24.5", "eq:counttorus": "24.6", "subsec:countnearcollision": "24.4", "prop:countnearcollision": "24.2", "eq:countpantsgap": "24.7", "eq:countnormalizedpants": "24.8", "eq:countnecessarytime": "24.9", "subsec:countuniformisolation": "24.5", "eq:counttracegapconstant": "24.10", "lem:counttracegap": "24.3", "eq:counttracegap": "24.11", "eq:countactiongap": "24.12", "eq:countuniformconstants": "24.13", "prop:countuniformisolation": "24.4", "eq:countuniformisolation": "24.14", "eq:countcertifiedtime": "24.15", "subsec:countsupport": "24.6", "eq:countsupportpartition": "24.16", "eq:countonesupport": "24.17", "eq:countsupportmobius": "24.18", "eq:countsupportfourier": "24.19", "eq:countsupportconditional": "24.20", "subsec:countdesmooth": "24.7", "eq:countshell": "24.21", "prop:countdesmooth": "24.5", "eq:countsmoothhypothesis": "24.22", "eq:countsharpconditional": "24.23", "sec:globalfilters": "25", "eq:globalmoments": "25.1", "eq:globalbounded": "25.2", "eq:globalweightseries": "25.3", "prop:globalonecrossing": "25.1", "eq:globalonecrossing": "25.4", "eq:globalfilteredheat": "25.5", "eq:globalresidual": "25.6", "eq:globalobstruction": "25.7", "eq:globalobstructionbound": "25.8", "eq:globalEuler": "25.9", "prop:globaldiagonal": "25.2", "eq:globaldiagonal": "25.10", "eq:globalEulerbound": "25.11", "eq:globalEulerhalfplane": "25.12", "eq:globalEulerinput": "25.13", "sec:countmixing": "26", "subsec:countmixselberg": "26.1", "prop:countmixselberg": "26.1", "eq:countmixselbergcount": "26.1", "eq:countmixselberggap": "26.2", "eq:countmixselbergmixing": "26.3", "eq:countmixselberglogderivative": "26.4", "eq:countmixGN": "26.5", "subsec:countmixfinite": "26.3", "prop:countmixfinite": "26.2", "eq:countmixtrace": "26.6", "eq:countmixgap": "26.7", "eq:countmixparry": "26.8", "eq:countmixmatrixconstant": "26.9", "subsec:countmixscalar": "26.4", "subsec:countmixlocalized": "26.6", "prop:countmixlocalized": "26.3", "eq:countmixentry": "26.10", "eq:countmixrate": "26.11", "subsec:countmixnoncompact": "26.7", "eq:countmixcusprate": "26.12", "sec:pairconverse": "27", "subsec:paircoefficients": "27.1", "prop:pairfirstcorner": "27.1", "subsec:pairgeometry": "27.2", "eq:pairgeometryflow": "27.2", "subsec:pairquotient": "27.3", "subsec:pairliterature": "27.4", "eq:pairquadrature": "27.3", "eq:pairpoissonzero": "27.4", "subsec:twopointkernel": "27.6", "eq:twopointpolar": "27.5", "eq:twopointkernel": "27.6", "prop:twopointunfolding": "27.2", "eq:twopointexact": "27.7", "subsec:twopointdeaverage": "27.7", "thm:twopointconverse": "27.3", "eq:twopointcountassumption": "27.8", "eq:twopointmixrate": "27.9", "eq:twopointderivative": "27.10", "eq:twopointpointwise": "27.11", "subsec:twopointderivativeweight": "27.8", "thm:twopointfullrate": "27.4", "eq:twopointderivativecount": "27.12", "eq:twopointfullrate": "27.13", "eq:twopointfundamental": "27.14", "eq:twopointfullidentity": "27.15", "eq:twopointfullnorm": "27.16", "eq:twopointfullcusprate": "27.17", "subsec:twopointjacobian": "27.9", "eq:twopointHM": "27.18", "eq:twopointinverseHM": "27.19", "eq:twopointcusprate": "27.20", "eq:pairbruhat": "27.21", "eq:pairkloosterman": "27.22", "eq:pairkloostermansmooth": "27.23", "sec:genus2markedtorus": "28", "subsec:genus2compact": "28.1", "subsec:genus2quadraticformula": "28.2", "eq:genus2curve": "28.1", "eq:genus2qformula": "28.2", "eq:genus2order": "28.3", "subsec:genus2twodouble": "28.3", "eq:genus2cancel": "28.4", "eq:genus2pillowmark": "28.5", "subsec:genus2ellipticcover": "28.4", "eq:genus2toruscover": "28.6", "eq:genus2torusadmissible": "28.7", "eq:genus2equalareas": "28.8", "fig:mono-double-covers": "8", "subsec:genus2homogeneous": "28.5", "eq:genus2Y2": "28.10", "eq:genus2homflow": "28.11", "subsec:genus2haarmeasure": "28.6", "subsec:markedtorusconverse": "28.7", "eq:markedtorusfourier": "28.12", "eq:markedtorusequivariance": "28.13", "eq:markedtorusinduction": "28.14", "eq:markedtorusalltempered": "28.15", "eq:markedtorusKnorm": "28.16", "eq:markedtorusXi": "28.17", "thm:markedtorusmixing": "28.1", "eq:markedtorusexplicitmix": "28.18", "eq:markedtorusweight": "28.19", "eq:markedtorusweightcoordinates": "28.20", "eq:markedtorusexactcount": "28.21", "eq:markedtoruscountremainder": "28.22", "eq:markedtorusderivativeweight": "28.23", "subsec:genus2torusscope": "28.10", "sec:coefficientobservables": "29", "subsec:normballbarrier": "29.1", "eq:normballall": "29.1", "eq:normballprimitive": "29.2", "prop:normballflatrow": "29.1", "eq:normballlowerpower": "29.3", "subsec:normballspectral": "29.2", "eq:normballfinitephase": "29.4", "subsec:primitivepolebridge": "29.3", "lem:primitivepolearcs": "29.2", "eq:polearcflatlength": "29.5", "eq:polearccoefficientweight": "29.6", "eq:polearcobservable": "29.7", "subsec:polearcnorms": "29.4", "lem:polearcprimitivebound": "29.3", "eq:polearcprimitivebound": "29.8", "eq:polearcuniformS1": "29.9", "eq:polearccorrelation": "29.10", "eq:polearcKfixedcorrelation": "29.11", "subsec:polearcterminal": "29.5", "eq:polearclengthderivatives": "29.12", "eq:polearcVnorms": "29.13", "eq:polearcterminalidentity": "29.14", "subsec:polearcscope": "29.6", "subsec:affinedisplacements": "29.7", "eq:affinesiegelisometry": "29.15", "eq:affinesiegelexactcorr": "29.16", "eq:affinegaussiancorr": "29.17", "subsec:affineranktwo": "29.8", "eq:affineranktwoobservable": "29.18", "eq:affineranktwonorm": "29.19", "eq:affineranktwoschwartz": "29.20", "eq:affineranktwoKnorm": "29.21", "subsec:affineranktwogaussian": "29.9", "eq:affineranktwogaussiancorr": "29.22", "subsec:affinesharprotation": "29.10", "sec:sharpdiagnostics": "30", "subsec:mobiusmodulus": "30.1", "eq:primitiveexactnormalizedmobius": "30.1", "eq:primitiveDini": "30.2", "prop:strictconvexlittleo": "30.1", "subsec:rationalpolygonbenchmark": "30.2", "subsec:dyadicdiagnostic": "30.3", "eq:dyadicerrorinverse": "30.3", "eq:dyadicblockmetrics": "30.4", "subsec:inverseflatness": "30.4", "prop:inverseflatrow": "30.2", "eq:inverseflatwidth": "30.5", "eq:inverseflatdiscrepancy": "30.6", "eq:inverseflatmicroscopic": "30.7", "subsec:flatnessmodels": "30.5", "fig:mono-flat-row": "9", "eq:exponentialflatrow": "30.8", "subsec:rowdiagnostic": "30.6", "eq:primitiveintervalexact": "30.9", "subsec:torustraceexperiment": "30.7", "eq:diagnostictracetriples": "30.10", "subsec:recentflatnessqualification": "30.8", "sec:arithmeticgeometry": "31", "subsec:primitiveRHtransfer": "31.1", "prop:primitiveRHtransfer": "31.1", "eq:primitiveRHmaster": "31.1", "eq:primitiveRHpowerM": "31.2", "eq:primitiveRHmodulus": "31.3", "eq:primitiveDiniPNT": "31.4", "subsec:quasiRHapplication": "31.3", "eq:zeroFreeMertens": "31.5", "eq:primitiveRHgeometry": "31.6", "eq:primitiveRHlogresult": "31.7", "eq:primitiveRHbalancedpower": "31.8", "eq:allPointLogDiagnostic": "31.9", "sec:questions": "32", "app:fricke": "A", "eq:fricke": "A.1", "eq:frickedensity": "A.2", "app:conventions": "B" }, "bibliography_numbers": { "WentworthGardiner": "1", "AranaHerreraSquare2020": "2", "AranaHerreraSquareEffective": "3", "ABEMPolar": "4", "AranaHerreraLattice": "5", "HumphriesModular": "6", "PollicottSharpZeta": "7", "BJPZeta": "8", "EdwardsOhMixing": "9", "GNDiscrepancy": "10", "SharpZeta": "11", "BabillotMixing": "12", "DolgopyatMixing": "13", "EMMEffective": "14", "LuoStongLengths": "15", "McShaneRivinTori": "16", "RivinSimpleAsymptotics": "17", "AHTComponents": "18", "CdVPeriodic": "19", "CharlesMarche": "20", "NaudTwisted": "21", "DThurstonPositive": "22", "BasokChelkak": "23", "WolpertTwist": "24", "AougabLahnLovingMiller": "25", "TaylorWoodward": "26", "TuraevVirelizier": "27", "KashaevVolume": "28", "MurakamiIntro": "29", "FaddeevKashaev": "30", "DimofteGaroufalidis": "31", "WittenJones": "32", "WittenContinuation": "33", "GukovApoly": "34", "DimofteQuantumRS": "35", "NeumannZagier": "36", "FuterGueritaud": "37", "ChenYang": "38", "GangRomoYamazaki": "39", "WongYangDehn": "40", "DimofteVeen": "41", "MathewsPurcellSymplectic": "42", "ALPS": "43", "AMN": "44", "AnagnostouNorbury": "45", "BaoBonahon": "46", "BellettiYang": "47", "Budd": "48", "BMZ": "49", "CDE": "50", "ChenMurakami": "51", "Costantino": "52", "DeligneMostow": "53", "DLMF": "54", "DoNorbury": "55", "ET": "56", "Fillastre": "57", "FillastreMetrics": "58", "Goldman": "59", "GKRVBootstrap": "60", "HeusenerPorti": "61", "HodgsonThesis": "62", "HuTan": "63", "KawazumiWP": "64", "Kerckhoff": "65", "Kojima": "66", "KoziarzNguyen": "67", "KRV": "68", "LeiZhang": "69", "LuoTan": "70", "MazzeoWeiss": "71", "McMullenGB": "72", "McShane": "73", "McShanePants": "74", "MirzVolumes": "75", "MirzIntersection": "76", "MirzSimple": "77", "MirzGeneral": "78", "MondelloBoundary": "79", "MondelloCones": "80", "MostowHalfIntegral": "81", "MurakamiMurakami": "82", "MurakamiYano": "83", "Parlier": "84", "Penner": "85", "PortiWeiss": "86", "RivinIntrinsic": "87", "RivinAngles": "88", "RivinDegeneration": "89", "RivinFigures": "90", "Roberts": "91", "SaadiZwiebach": "92", "Schlenker": "93", "Springborn": "94", "TeschnerRevisited": "95", "TeschnerVartanov": "96", "ThurstonShapes": "97", "WangFlatWP": "98", "Zonneveld": "99", "Zwiebach": "100", "BenirschkeServan": "101", "FillastreIzmestievCusps": "102", "LanneauComponents": "103", "StrombergssonVishe": "104", "BenoistKobayashi": "105", "CowlingHaagerupHowe": "106", "OtalRosas": "107", "AthreyaLagaceMollerRaum": "108", "AthreyaAffineLattices": "109", "ShigaHyperbolicQC": "110", "BaranyPrimitivePolygons": "111", "BowditchMarkoff": "112", "DoanLiNguyenStableNorm": "113", "ZhaiPrimitive2003": "114", "BakerPrimitive2010": "115", "OpenAIQuasiRHSeptember": "116", "OpenAIQuasiRHOctober": "117", "IpolyStudy": "118", "DuffinNetworks": "119", "RivinEuclidean": "120", "RivinOptimization": "121", "BoydVandenberghe": "122", "BoydVandenbergheSlides": "123", "SpielmanTengSolvers": "124", "RippaEnergy": "125", "DisarloParlier": "126", "BrockWPVolumes": "127", "BrockMappingTori": "128", "PortiTorsionSurvey": "129" }, "scientific_replay": "not performed; all reports copied unchanged", "rights": "Monograph text, original figures and TeX source: CC BY 4.0. New maintained computational companion files listed in LICENSES/new-companion-files.txt: MIT. Third-party rights and inherited notices are retained; see LICENSES/README.md.", "license_sha256": { "LICENSES/README.md": "345e69c061ecf6b276a8c57999516c855536ac7584af6aa4b4c3cdcd9bf6430e", "LICENSES/CC-BY-4.0.txt": "2ade8c89b8bbe0d859b124a9e47032c8494022f43091e8278ae8e2554a292196", "LICENSES/MONOGRAPH-NOTICE.md": "34657dce59f05f339911fad763497d7615e0b721978910eadde2c3777b698e3b", "LICENSES/new-companions-MIT.txt": "a56fbd01e5bce5116c4860ba8067070fb6d69861d6368a4a76c55f2457969384", "LICENSES/new-companion-files.txt": "6d52e33dc36d133cfa95fd6a5e97bc1708698f8e1865a18d847badf279222342", "LICENSES/volume-toolkit-MIT.txt": "14c0fc10e8db2ba14a669b9939a69f22e729cdaecec1e8bde47d2b959ac5be38", "packages/volume-toolkit/LICENSE": "14c0fc10e8db2ba14a669b9939a69f22e729cdaecec1e8bde47d2b959ac5be38" }, "publication": "not performed; no Site registration, source synchronization, upload or deployment", "output_sha256": { "introduction.html": "187234a2e600e16b7ba79afa9bcef697bbaf1013728048a7a33f5dc530963539", "01-volume-normalization.html": "c9714cc948ba156f361ac648f44e36df794f19f01f90774456dac99da8923a77", "02-ideal-angle-cells.html": "2dea85fbcfcdff82523d58faa059a8aabbcc286c183da694578e4b9ce0f87b5b", "03-ideal-tetrahedron.html": "792e345b6fde9bdd5f1d855b280463d9c17f11f63a4adba17fe3bf7b80e358f0", "04-hyperideal-integrand.html": "5720004aca0cb30a63661e5a079ff8a6554c5eda9f7287b8d3b1fea9f31fd807", "05-boundary-cone-continuation.html": "cccf51b2ccbca42abe11548ed7873609dd4efda33299e3789542c6b1049d0a83", "06-torus-sphere.html": "ab69bfc7205199c849ad7d8e2fe63a3147a4850ce04d548da69adb9f5aff344b", "07-euclidean-periods.html": "b715149a7a156aef209fe04d1b2ddcdedcd5f430247d47ba6f3bca65b18d44cd", "08-wp-flat-limit.html": "3a7a853de969726e3d19cc689dad7b0ecf9a12d7d6fd33016eba769e1e1b695d", "09-volume-hessians.html": "1d1d66990bd61e03bde3d34545f3f9238895e9583fb837b7376390a630f0f49e", "10-quantum-introduction.html": "effb9fc55ff5d7ae25bae254a480528e1f15a86a6601e6d438531d8956dc345b", "11-quantum-degeneration.html": "4a621cc8134d40f66bd692c87bac54b9d2004a2b752af6193e4f66158d4b0776", "12-quantum-boundary-measure.html": "9ec9be454a29de2e10c95405af0bbe52c5a8c14996053dd3ef8888d9584787ee", "13-four-point-fusion.html": "c33d017e502f0fe49b7787be94641308cce1fd6831f62f92cdeeeea4ff2d5d58", "14-normalized-quantum-comparison.html": "cd6e837e92c525b15424ae1316052b44ea0beaabc964e762f83eb0f77344a399", "15-quantum-airy.html": "dbdc60544e1cb1abf1b2bc3c58c4002ac182161deaeebb5726b98906c076377e", "16-dehn-filling-response.html": "fb5a56ce444d08ee98a5cfd00c3f33e8a5662270ceb182137b463d29265fc661", "17-unfolding-constant-series.html": "e9ae1e756ab942f2fe431cb813e14ee7c14f3a0fe071973daeed7191b29199bd", "18-figure-eight-curves.html": "7b2033d257bb494350340b20a4fcd43bb011c399c34d27337c0588ee3f4565dd", "19-pants-twists.html": "36580a32e01ded0bf7691da1f081de9a82c0a75b05b1697dc6340f879975d219", "20-torus-twist-series.html": "78ca733dbf9460be6045a36fa27abb23f87dd8f0393f59b65f669795276226f0", "21-cuff-matching.html": "13637a69ea49185f24ec38f21a4918f791136abe6ae938b34f931bc4235e71f6", "22-cusps-orthospectrum.html": "e74f6b02156ad2849ab6bb48355af51f61e546cf9b3ed432e9f3c4b4b9d828bd", "23-trace-coefficients.html": "a7d8b5e64410f4db5157b94d39711e6879cf651ab550684de546b58e39fafa57", "24-quantitative-counting.html": "98adab5e2895a142ec63a69ef0f034840cd49cc84fe1f38f63187dcf2a64e96a", "25-global-coefficient-filters.html": "9cf1e78217259111043c012be759409d95922400978e63ae157ae8a0600462b0", "26-counting-to-mixing.html": "a624dfc8ceba8b65b92e9f92883952e7b84a6602648d02a28ad2cb913a179db5", "27-weighted-mixing-converse.html": "2dae3e43692f9c45d837b6469ee2046a7872772ac7321670b84c653e181d9ec1", "28-genus-two-model.html": "fac933bf35f47ca495dbe5e2fc6b91c45042a4048a2511f9b926e4d8915934c4", "29-controlled-observables.html": "a4896a0567a6060ba44531d7cce858c4714e8d67340aff33018685f730035a90", "30-sharp-diagnostics.html": "725dbd2eb66a93083c8cc291b8e5328a987263d9a5ec622958fd1d3793ffa43a", "31-arithmetic-remainder.html": "57ff8b57c65c04d70ce57591f521d9d7938ba5ec4b2ebe8dbac54ac7228cf33e", "32-open-questions.html": "408cbd0bd19d5246924f909e90f64f46af5fac18c206875b16a500847b9f1b44", "appendix-a-fricke.html": "46e0526daac9c20669a2d52c2cdc9a5a3e82017fb104923f17b38ee3089da6a6", "appendix-b-conventions.html": "81ba072a2022a57c856ee276fc07cad6e6252b453f2c152c556b205873aef2da", "references.html": "c50ad9f581b7578dd5734e1641baec184324946de029f5580585aa9bea0e19e8", "search-index.json": "f706dca8fe17a7a85aa14c73041769a0cf9b49d327affba925e1fc0b33c6d22c", "index.html": "97cc4b5603353387723e13a19c518dd227bdf85f699bd4a36c840b29557a2761", "computations.html": "040b038b0d6c19631028f9ad0724434f5eebe8b3289fe87565c869f1e1683cba", "downloads/monograph.pdf": "959a27f7559e571faaacebd561133f2e53c6847f99b0c5757d12f4ec467ae2f8", "downloads/monograph-source.zip": "9ab40fffa8cecc7b9aa6cd3bde96e56b2d4209cd0538b51dc64d9b542e57493d", "assets/figure-01.png": "c5248baa1c2714efeecb867e81c7708b7e08bfdebe496a62cb250aa76850d9cf", "assets/figure-02.png": "051100fdeca219456c0e00227d275eb106ebdb1035d1236e19728579494434d7", "assets/figure-03.png": "ff955ac87063f13e1d698a1085ac18f30f6b643f818db8a57eb8ac6b0528336f", "assets/figure-04.png": "cd534d247190d9b257611f6e775a5d6d89d2cdfcaa06f8275baede2fe718197d", "assets/figure-05.png": "8849f683d2a4871de0f11b4ab5c9e70f52ec0f77c590cb679017b8b1eabf37c2", "assets/figure-06.png": "81eefb4b2d4e6bd02eb206c3d352e35f7f39fad610f57fa1cea98046f6f2dd22", "assets/figure-07.png": "fab7500765d9a2169540ecc55faed1b79cbdf2a87322d1a8e382ffa307d07697", "assets/figure-08.png": "4a32927a69716a9cc3c6bbacfee825d5cd4309ec4601401242527b21cfb6caf2", "assets/figure-09.png": "262e32b2146b6b6037bd0feb2e1b28cd7c9dac056407628fb9624dc02730d218", "assets/edition.css": "779222ec7ea3de9d3e6e6a7f07ae3dfa1ac6367902e1ddf1d52a1d7f1b0e5ef3", "assets/search.js": "0681c803353ebd829920f8ad0a8480691245e92f02e8439e7ea6b0ebfb8fb3c2", "historical-section9/barrier.html": "db1646afdcf7b5ccd95c8c3d9bd0f25bc3a8523a70abb682057c0e3087cfae1d", "historical-section9/chapter.html": "d8e79d7ee395923059a262c897b413dfe8cb85c4777496595c55dfafa11585a4", "historical-section9/index.html": "6efe0b04695c48d3ec9df58230bf74c7ebdfa2afa4cb61ed98beab3e97fc19e3", "downloads/inspection/LICENSES/CC-BY-4.0.txt": "2ade8c89b8bbe0d859b124a9e47032c8494022f43091e8278ae8e2554a292196", "downloads/inspection/LICENSES/MONOGRAPH-NOTICE.md": "34657dce59f05f339911fad763497d7615e0b721978910eadde2c3777b698e3b", "downloads/inspection/LICENSES/README.md": "345e69c061ecf6b276a8c57999516c855536ac7584af6aa4b4c3cdcd9bf6430e", "downloads/inspection/LICENSES/new-companion-files.txt": "6d52e33dc36d133cfa95fd6a5e97bc1708698f8e1865a18d847badf279222342", "downloads/inspection/LICENSES/new-companions-MIT.txt": "a56fbd01e5bce5116c4860ba8067070fb6d69861d6368a4a76c55f2457969384", "downloads/inspection/LICENSES/volume-toolkit-MIT.txt": "14c0fc10e8db2ba14a669b9939a69f22e729cdaecec1e8bde47d2b959ac5be38", "downloads/inspection/book/companion-reconciliation.md": "f6c4ad1da9c4b0033c78f2ec8b90e914c30269dc8ee118c0f9d36b87bcbd6a9f", "downloads/inspection/book/computational-status.md": "4e04187988c2f1533fe6862d66b5071270b4f8dfc58694dd2a93ed07f66c6de9", "downloads/inspection/book/numerical-errata.md": "63628db354fafc78e495f0e295bdaa5034cde4472680e171321b9d10fd55e072", "downloads/inspection/artifacts/counting_mixing/result.json": "04e9807ae5d3af8a8f2a2926a44ebc25f79a9e8151424ae39429655396b7567b", "downloads/inspection/artifacts/normalizations/result.json": "9aceff49e5a8a66399004eec292183087ab640e6441bf580d7007b5dd7949490", "downloads/inspection/artifacts/quantum_geodesics/result.json": "a8b5aea0d3bce364f069506d5b96a09ce03a49c0219fbe8bf070e61f1ead35ae", "downloads/inspection/artifacts/quantum_surgery/result.json": "accdcaae347f363f20761cc2ffc7a2a252c2199787a277e519cef9978c5578cf", "downloads/inspection/artifacts/section15/checks.json": "1b275fb776a7a203cfada670bf37d4a5c428a463e24edafb38ed0e8c258f8404", "downloads/inspection/artifacts/section15_quantum/result.json": "b8d600a6ca3797f45e616bc324d0d1620066e9c203c085229d4c544f6e245009", "downloads/inspection/artifacts/section30/result.json": "762b07184f76893c810f3e9832fd44dc7e4b292c1a64aae61aa26832e02884a1", "downloads/inspection/artifacts/section9/barrier-result.json": "b7d680717a5de790a146c584f66e955fb515449cc583adfa9e3c4543d692f798", "downloads/inspection/artifacts/section9/result.json": "e6aa3b68d0e7f7bbcb326f0d2b1e76245aa1ee6e728dcb7173f5bc9541782f85", "downloads/inspection/artifacts/torus_campaign/result.json": "51414cf7c3e72c2020e3267f3abbb6cf6e2c9c0f78b9b6ee3921ceced70bcece", "downloads/inspection/book/claims/section15.json": "2a53176d95601bd09448326a34b203f1e05bd46dc6eee182226af36b24a2fb96", "downloads/inspection/book/claims/section16.json": "dc24ca2ca1514446b5bd862f7632942a36f5e5d2bf07065a40b959bed3ce6531", "downloads/inspection/book/claims/section30.json": "5b19adfa2a45ab5fc22d760564f5576c5134f02d1827f8c94e3fa2e4c2bb852a", "downloads/inspection/book/claims/section31.json": "6cd4a0d185cda2e8dc2852ce6ddf81d0f0fc75a4a19d3866c1f84e3ad835f6b9", "downloads/inspection/book/claims/section32-appendixb.json": "b8e2ae0cbab07d993b45c381caca1b308b30acad45685da447af5e8e4276de55", "downloads/inspection/book/claims/section9.json": "255ed6ebb0c3eb1c7714d238f2829f6115487817408545e40461ef87b47b5c73", "downloads/inspection/book/claims/sections1-6.json": "46d3939d0cacda4f5780f18ed6b9e2ba21758d2fc3d0deecac99130ab14b6af2", "downloads/inspection/book/claims/sections10-11.json": "5d191ed33fdd5b1ce1a592e91ccc053674a9ea9c0f52a1c9bca33c473cff857c", "downloads/inspection/book/claims/sections12-14.json": "fecb43e3327f9f659afbd841f8b9ee10a2c75fa0b3a7694655beabc7675d53c7", "downloads/inspection/book/claims/sections17-22.json": "40dc199e544b1eddf678b1a10210fdd46b4bee6cfb5bfdc168534e9c6076037b", "downloads/inspection/book/claims/sections23-25.json": "61af82e0e0cf8b7e658803255f5bcd38849cde0f27539ef901b7f027816667db", "downloads/inspection/book/claims/sections26-29.json": "d139ca58e77c234e7c9e5d1bce69caf85b0038c1d4ef586a0b9ea0972371629c", "downloads/inspection/book/claims/sections7-8.json": "7438f1b5c8fde23fa81b0b1c3250d2965debf79678026d649bd7ff7cd368439d", "downloads/inspection/experiments/counting_mixing/README.md": "225d070e6eab3f61992c04c62f50361fd1f494a78ada8e2cf4d7b9dee61c4745", "downloads/inspection/experiments/counting_mixing/fixture.json": "538c23145ba1ded0f57c7f67a68412a35644ea85c1dd8c4470d902e11e57be33", "downloads/inspection/experiments/counting_mixing/run.py": "c079ee98ac182709cd9511a30a3a1a560b7b22311af6aaa4da06a427d19c1014", "downloads/inspection/experiments/normalizations/README.md": "0f460da36f82b31d4e2b51a11b1e732544410281e7f1322206eb30b1564b86cb", "downloads/inspection/experiments/normalizations/fixture.json": "603a15ca995ba2b430aa06cdaa6439443a79bbf59f2275590f8f22ad5a537141", "downloads/inspection/experiments/normalizations/run.py": "cd74141cb4ed4230b84f3e156c96ec67dbbed27bc4047c05fc2f8106e74d018d", "downloads/inspection/experiments/quantum_geodesics/README.md": "193149f1dd1fb67bf45dab240ec3b61aad0ece113859b59522b8534d9fef7fd0", "downloads/inspection/experiments/quantum_geodesics/fixture.json": "3c0f2ba7ffe7715d38e602697a0c7012b1963f653b483f5c7033858670530a1b", "downloads/inspection/experiments/quantum_geodesics/run.py": "618f17d3aec05e2a6de637c851e6ccfabfde50088662f5198f165eebd8a5254a", "downloads/inspection/experiments/quantum_surgery/README.md": "2c9c712cb99788bb331ebf40cd7e440bfa04666add75c9238a2646f12198edce", "downloads/inspection/experiments/quantum_surgery/fixture.json": "c6f5f162a72331f48db888106a9fd7870005883838136603bf53b2f4eba62198", "downloads/inspection/experiments/quantum_surgery/run.py": "24aa7025bfae88e4e601aee1cbcbf60f3e43220880662ff592917c79be21c192", "downloads/inspection/experiments/section15/README.md": "37849f959764bb6801c68c5af94edd369224c42152625b6876b9437e58d40387", "downloads/inspection/experiments/section15/historical-table.json": "91ecc5703fe0089940825f8e165ab88e0693535067e8ca080736a0895f164011", "downloads/inspection/experiments/section15_quantum/README.md": "72be417c8d03f743ae056a2bb4b8b4a4f73047e3c368980c54f16569bb203322", "downloads/inspection/experiments/section15_quantum/check.py": "e0966000c16b3f34ed36102a8c38d00aa602e8e7fd3e5e605341bc7bf43896ba", "downloads/inspection/experiments/section15_quantum/evaluate.py": "fee7dae3a298deaf0520fe09ceb0d584306c63937fa923ba4d03729a6cdacf81", "downloads/inspection/experiments/section30/README.md": "43f5c6dff6040f1946a961668bad19b80cf54248115bb910d55ea656dfef6724", "downloads/inspection/experiments/section9/README.md": "a69e69a7135107b04481f26a84e62336086d7002bad5c75f7c29f3d79664fd36", "downloads/inspection/experiments/section9/barrier_run.py": "e9f1f772f9cfa5bb74637926b868d5f6cc1049c3cc4372faf8bbe750afc83c60", "downloads/inspection/experiments/section9/run.py": "91525e17669887d7863834a3322207088c7ff4dbf4b4f8348a67b529a6142a19", "downloads/inspection/experiments/torus_campaign/README.md": "cb32059b9558a946c955981346fdb9ee72c3f305e7a8760e134b99c4c8ce3de4", "downloads/inspection/experiments/torus_campaign/run.py": "f80154b6d7c9b60e2fa2c74a898fa096d0e03e3f36719df6c7802382441cb8fe", "downloads/inspection/packages/volume-toolkit/LICENSE": "14c0fc10e8db2ba14a669b9939a69f22e729cdaecec1e8bde47d2b959ac5be38", "downloads/inspection/packages/volume-toolkit/ideal_poly_volume_toolkit/angle_barrier.py": "d782aff2a23c9073c6f7cf02666cc0ec3f4446f28185c7474116fcf42edbbd07", "downloads/inspection/packages/volume-toolkit/ideal_poly_volume_toolkit/variational.py": "f964764a992089b3725205d0730d27e1254f2b3b9ea17e73eaccae9465e9a07b", "historical-section9/assets/section9-figure-1.png": "ff955ac87063f13e1d698a1085ac18f30f6b643f818db8a57eb8ac6b0528336f", "historical-section9/assets/section9-figure-2.png": "cd534d247190d9b257611f6e775a5d6d89d2cdfcaa06f8275baede2fe718197d", "historical-section9/assets/section9.css": "aae27cd011f0d53aeb109ccaafbbe26e5a4c26eb2d9cb28c3aea78ec951f8b01", "historical-section9/downloads/angle_barrier.py": "d782aff2a23c9073c6f7cf02666cc0ec3f4446f28185c7474116fcf42edbbd07", "historical-section9/downloads/barrier-fixtures.json": "fdd1cd88cec4398199e46c8a38cfec2955f0118672972bfceb5ab732b86aec1a", "historical-section9/downloads/barrier-reproduction.zip": "3927145433f4039b03f3649f6cf3c2e2db3f1b01456b0cd5ff530e383dc9955d", "historical-section9/downloads/barrier-result.json": "b7d680717a5de790a146c584f66e955fb515449cc583adfa9e3c4543d692f798", "historical-section9/downloads/barrier_run.py": "e9f1f772f9cfa5bb74637926b868d5f6cc1049c3cc4372faf8bbe750afc83c60", "historical-section9/downloads/chapter-build.json": "222bf4ff16d3273d2acf3e36b1d4e0a26aa98fa52cbbd98bb77fb943fb55c899", "historical-section9/downloads/companion-reconciliation.md": "f6c4ad1da9c4b0033c78f2ec8b90e914c30269dc8ee118c0f9d36b87bcbd6a9f", "historical-section9/downloads/fixture.json": "70349bb959ac7169202cb9304d9e3ce8f414a693626a7a3c06a38ded276269a1", "historical-section9/downloads/monograph-source.zip": "ac294eb06ba3e9bf400aeda84347922721f265220658af58eb332d52ba94b324", "historical-section9/downloads/polyhedral_volumes_and_geodesic_identities.pdf": "40dd069bd2653f9a78666a31f53910d74b7f8de2a4a75d5a5dd62466032a6cd5", "historical-section9/downloads/polyhedral_volumes_and_geodesic_identities.tex": "3b3b93d26764392353030a30ef4569360d051e0d78d6e5eb7fd6bef1f96de546", "historical-section9/downloads/reproduction-guide.md": "a69e69a7135107b04481f26a84e62336086d7002bad5c75f7c29f3d79664fd36", "historical-section9/downloads/result.json": "e6aa3b68d0e7f7bbcb326f0d2b1e76245aa1ee6e728dcb7173f5bc9541782f85", "historical-section9/downloads/run.py": "91525e17669887d7863834a3322207088c7ff4dbf4b4f8348a67b529a6142a19", "historical-section9/downloads/section9-claims.json": "255ed6ebb0c3eb1c7714d238f2829f6115487817408545e40461ef87b47b5c73", "historical-section9/downloads/section9-reproduction.zip": "0f2f6f343c9900762a6d8171065ab05141f79cacf37eae528c347c16b7a36fa9", "historical-section9/downloads/section9.pdf": "9db08eec8405c637c8ac79ad0afcaaa4b4bf810435463dbb3361fee7616975f0", "historical-section9/downloads/variational.py": "f964764a992089b3725205d0730d27e1254f2b3b9ea17e73eaccae9465e9a07b", "historical-section9/downloads/inspection/book/chapters/09-volume-hessians.tex": "5f61c653a5cd26bfa5e1a5b436c621b7d72436af46abd3d0b63c5cb401483b00", "historical-section9/downloads/inspection/docs/execution/2026-10-31/section9-rereview.md": "b70f2732abb557b6c57b7498d33cfa56c9e917291793f5de5ac6be05378bba06", "historical-section9/downloads/inspection/docs/execution/2026-10-31/section9-review.md": "1e25af61ed2c6856272e8f2ce930424ffd17da89d975fe77d33a08edd78871aa", "historical-section9/downloads/inspection/docs/execution/numerical-correctness-2026-10-31/closeout.md": "5fd344ccb3aa05303021486008c33dd0bfd01f8ed96a773a432d900351840a0c", "historical-section9/downloads/inspection/docs/execution/section9-barrier-2026-10-31/barrier-publication-review.md": "7162f2b137e17ac3364bb7a8c5b3bc6109794e1d88befb02a39555e72464683b", "historical-section9/downloads/inspection/docs/execution/section9-barrier-2026-10-31/barrier-review.md": "97f76974beb3d0eacab67fbbd01b5afc4c1580ed3e9786b04d1d017067d0cc1f", "historical-section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/companion-audit.md": "b6565bf58cd96b2210fd086c44b3cf0a2d90cac727ca7d1a344907d009204b77", "historical-section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/companion_reference_probes.json": "a7cd2000192a53f247bdd227178198cd79ada1157fbf9f3fe36cc55be6825e62", "historical-section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/math-audit-checks.json": "166eca3c97dfa34d22aa51c11021d3a0f5f7b4bd29e183004abc2d47127b1ce5", "historical-section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/math-audit-checks.py": "8b8ed3970a0c15179cc5879616ab371d4763fe956cb27ae10956ad51026bc6bd", "historical-section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/math-audit.md": "b35ce184791dfe5fa7ac78364929601039052e6bb5a79e2a50a9da9655c81df3", "historical-section9/downloads/inspection/docs/execution/section9-chapter-2026-10-31/proof-review.md": "043780260852e24fcda41d3f7e36ee9385d393eb8a62456782c2636f6ff00aef", "historical-section9/downloads/inspection/experiments/section9/barrier-fixtures.json": "fdd1cd88cec4398199e46c8a38cfec2955f0118672972bfceb5ab732b86aec1a", "historical-section9/downloads/inspection/experiments/section9/barrier_run.py": "e9f1f772f9cfa5bb74637926b868d5f6cc1049c3cc4372faf8bbe750afc83c60", "historical-section9/downloads/inspection/experiments/section9/fixture.json": "70349bb959ac7169202cb9304d9e3ce8f414a693626a7a3c06a38ded276269a1", "historical-section9/downloads/inspection/experiments/section9/run.py": "91525e17669887d7863834a3322207088c7ff4dbf4b4f8348a67b529a6142a19", "historical-section9/downloads/inspection/packages/volume-toolkit/ideal_poly_volume_toolkit/angle_barrier.py": "d782aff2a23c9073c6f7cf02666cc0ec3f4446f28185c7474116fcf42edbbd07", "historical-section9/downloads/inspection/packages/volume-toolkit/ideal_poly_volume_toolkit/variational.py": "f964764a992089b3725205d0730d27e1254f2b3b9ea17e73eaccae9465e9a07b", "historical-section9/downloads/inspection/packages/volume-toolkit/tests/test_angle_barrier.py": "31d9bd367799b9d6016dddefc255c27635e78046f33fd7c9bfa424f86b0d7a45", "historical-section9/downloads/inspection/packages/volume-toolkit/tests/test_variational.py": "fffdb72c8907749a03e031c572d3bb928976ee6844ff0ca7b79d17b913b8a7fa" } }