{ "format": "ASCII symbols, one final LF; length and word_sha256 exclude LF", "words": [ { "n": 8, "path": "words/8/superpermutation-8-46181.txt", "length": 46181, "alphabet": "01234567", "sha256": "07637d5518101667132847e74add605e9809961d5793342321cb70c3c599c62b", "word_sha256": "33c8e75d5c2eb8d579bf0d9290ce750f5e6cacad629decc575688a946b8238c9", "expected_permutations": 40320, "extra_permutation_occurrences": 96 }, { "n": 9, "path": "words/9/superpermutation-9-408736.txt", "length": 408736, "alphabet": "012345678", "sha256": "b8b6298a2fa06e626ef189a75661a76abf257a5124d1808f16c041897b55b33f", "word_sha256": "dfa879fbc3b1ad82c99127f38830df7ca91a5db2929f8d2d7d98602570c1d942", "expected_permutations": 362880, "extra_permutation_occurrences": 336 }, { "n": 9, "path": "words/9/superpermutation-9-408732.txt", "length": 408732, "alphabet": "012345678", "sha256": "6b5f22010b002373c6cc1db3ed4e3e9d10fe48a4cfca19568f87253c6e846a96", "word_sha256": "a65f116e478d0447bf9c39c771611ba820b1f88f1ce6418969eafd4ef6b6fc78", "expected_permutations": 362880, "extra_permutation_occurrences": 336, "construction": "Same construction as the 408,736 word; components opened at arbitrary character positions, with openings and order optimized jointly (2026-09-30)." }, { "n": 10, "path": "words/10/superpermutation-10-4034894.txt", "length": 4034894, "alphabet": "0123456789", "sha256": "73d940fdc95555fc58fa004a24a355909dbcd496b7d9d17dbcf4b596731dfcb4", "word_sha256": "49714586a7a924666ca6dead874f37126b16fb0c161d4ecaec4dbc5d3699d290", "expected_permutations": 3628800, "extra_permutation_occurrences": 2351 }, { "n": 10, "path": "words/10/superpermutation-10-4034889.txt", "length": 4034889, "alphabet": "0123456789", "sha256": "14c38117bf89d112579068ac3688730003fa5a56e0e4fdc466e5825f51741e12", "word_sha256": "1365ff341c59e39255de4f664d2b1acf80d7ff26b809ceca94d84c9868e52d78", "expected_permutations": 3628800, "extra_permutation_occurrences": 2352, "construction": "Same rows as the 4,034,894 word, with one connector cycle replaced by an open connector path through 28 trails; endpoints and order optimized jointly (2026-09-30)." }, { "n": 11, "path": "words/11/superpermutation-11-43930689.txt", "length": 43930689, "alphabet": "0123456789A", "sha256": "7e3e9e897c2dfe0884d68b9602f2f2a2a7b1477d4476e78dd80ac42989a50eaf", "word_sha256": "954a7829b0e4984d7d3312800f3c68789a6fa8ac70d6ce08b62b722b744b740b", "expected_permutations": 39916800, "extra_permutation_occurrences": 18816, "compressed_filename": "superpermutation-11-43930689.txt.xz", "compressed_path": "words/11/superpermutation-11-43930689.txt.xz", "compressed_bytes": 319848, "compressed_sha256": "85f869324664759c4daeaf70774841dcff56fbe1ae6c8b5eb340983642fdfb51" }, { "n": 11, "path": "words/11/superpermutation-11-43930680.txt", "length": 43930680, "alphabet": "0123456789A", "sha256": "c8de119305a2fd646ba6294832515ff464b399a88a5fe1da9727ed07383f970a", "word_sha256": "ef643afcd8cdbc1564beb9b231d5a61c387571f15e539665093f20006dd76681", "expected_permutations": 39916800, "extra_permutation_occurrences": 18816, "compressed_filename": "superpermutation-11-43930680.txt.xz", "compressed_path": "words/11/superpermutation-11-43930680.txt.xz", "compressed_bytes": 417660, "compressed_sha256": "611286201d91a5ec61e010ceb421f80f4b0876ea531eee9fe7f29f02791dbf6f", "construction": "Same modules as the 43,930,689 word; cuts (including opening at any endpoint word) and order re-optimized (2026-09-30)." }, { "n": 12, "path": "words/12/superpermutation-12-522752900.txt", "length": 522752900, "alphabet": "0123456789AB", "sha256": "ca4dbbda4a2ec386b9bf974eeb3f25c4d5622093fbf2d8a82fe39a5ee3a7917a", "word_sha256": "526214a538965001fd8d0d89e6adcfc3694fc76c38246e12035afb170ea831b3", "expected_permutations": 479001600, "extra_permutation_occurrences": 169344, "compressed_filename": "superpermutation-12-522752900.txt.xz", "compressed_path": "words/12/superpermutation-12-522752900.txt.xz", "compressed_bytes": 3552156, "compressed_sha256": "c7b1eee3c064e28fff44d762a0dab4307e1b974df3dd7c76ca03f1f23465bc5f" }, { "n": 12, "path": "words/12/superpermutation-12-522748520.txt", "length": 522748520, "alphabet": "0123456789AB", "sha256": "cdf1c37f94ba900bf4356f0909cc2c8719fe15a2d994a5d1e5f91afb1545d049", "word_sha256": "8c75080a5b589597206e9eb226a69b18a03175cb6d907702b41edee5e79606e1", "expected_permutations": 479001600, "extra_permutation_occurrences": 169344, "compressed_filename": "superpermutation-12-522748520.txt.xz", "compressed_path": "words/12/superpermutation-12-522748520.txt.xz", "compressed_bytes": 3430916, "compressed_sha256": "07d3aca4833e877331bbd7f404ff419899e0af4e9409b3ba138ebe3b045f2231", "construction": "tighter construction: the ten-symbol base transported once, with its connector cycles chosen again at twelve symbols (2,843 cycles instead of the 2,856 transported ones); default piece order" }, { "n": 12, "path": "words/12/superpermutation-12-522745581.txt", "length": 522745581, "alphabet": "0123456789AB", "sha256": "9331cd7686ccc855c7a02198df7c67609cde41c96f7be43249e8c8f924e3a18c", "word_sha256": "c176a12fbc28a394b42f0770dc283d4b2876504f31ab1e457630ddeb6b3bd4fb", "expected_permutations": 479001600, "extra_permutation_occurrences": 169344, "compressed_filename": "superpermutation-12-522745581.txt.xz", "compressed_path": "words/12/superpermutation-12-522745581.txt.xz", "compressed_bytes": 3540748, "compressed_sha256": "77cf3931d0416f6eea9ca11866e574d7b5f0953e804fb31a98b5b557b231dad1", "construction": "Same modules as the 522,748,520 word (tighter construction); cuts and order optimized by integer programming and local search, using that the 48 large components are relabelled copies (2026-09-30)." }, { "n": 13, "path": "words/13/superpermutation-13-6747987126.txt", "length": 6747987126, "alphabet": "0123456789ABC", "sha256": "412842b831273382e3904c6bdf4d93ca412574869ebe5cfc601be7d515b3f282", "word_sha256": "7062acec51b8864c339471ac7c4cff4e9a860f0625d8413b2a4659d22f85eac2", "expected_permutations": 6227020800, "extra_permutation_occurrences": 1693440, "compressed_filename": "superpermutation-13-6747987126.txt.xz", "compressed_path": "words/13/superpermutation-13-6747987126.txt.xz", "compressed_bytes": 38942764, "compressed_sha256": "1cac45065ba0d5a590eb25ba86f915a40834ff6c9f4f2f05ed9b7a8d22a6516c" }, { "n": 13, "path": "words/13/superpermutation-13-6747967798.txt", "length": 6747967798, "alphabet": "0123456789ABC", "sha256": "a23ce74813252fa993211957190011c4370735748e6f21bdfc7a19e82c70c338", "word_sha256": "86b3645b31369f2d9801bff56099a7766d3c30314c1a431c6541d761027e06b3", "expected_permutations": 6227020800, "extra_permutation_occurrences": 1693440, "compressed_filename": "superpermutation-13-6747967798.txt.xz", "compressed_path": "words/13/superpermutation-13-6747967798.txt.xz", "compressed_bytes": 36558476, "compressed_sha256": "58d6b83966b7593f93ba2f709839b76d5e13292b5f0c08b7a199224e448828ed", "construction": "tighter construction: the ten-symbol base transported twice, with its connector cycles chosen again at thirteen symbols (25,584 cycles instead of the 25,704 transported ones); default piece order" }, { "n": 13, "path": "words/13/superpermutation-13-6747918066.txt", "length": 6747918066, "alphabet": "0123456789ABC", "sha256": "406cab45500e0de8e26b96ad01a03679a15be6d788a8daced6d9528c29c4292b", "word_sha256": "8c26c61770dfd398a856c309f601519f9769f7ad66977622af3bdb66122c23fd", "expected_permutations": 6227020800, "extra_permutation_occurrences": 1693436, "compressed_filename": "superpermutation-13-6747918066.txt.xz", "compressed_path": "words/13/superpermutation-13-6747918066.txt.xz", "compressed_bytes": 35256280, "compressed_sha256": "ccf13c9eab2b1a48e580a3785c31bece1090a52c7d8c103f784cca1ff9067b04", "construction": "Same modules as the 6,747,967,798 word (tighter construction); cuts and order optimized by integer programming and local search, using that the 48 large components are relabelled copies (2026-09-30)." } ] }