Wed Jul 1 10:08:24 2026 Wed Jul 1 10:08:24 2026 Wed Jul 1 10:08:24 2026 Msieve v. 1.54 (SVN unknown) Wed Jul 1 10:08:24 2026 random seeds: 78860cd6 c2d87000 Wed Jul 1 10:08:24 2026 Using 14 OpenMP threads Wed Jul 1 10:08:24 2026 factoring 2796548338317684135367280545892903108563405497310793567610317240595344770981242061971959406756692925798845802211100951445543043176455618157115940885614671977444350743574110544353289657627 (187 digits) Wed Jul 1 10:08:24 2026 no P-1/P+1/ECM available, skipping Wed Jul 1 10:08:24 2026 commencing number field sieve (187-digit input) Wed Jul 1 10:08:24 2026 R0: -1730541185395745470694323842770478841 Wed Jul 1 10:08:24 2026 R1: 164589164601504746201587 Wed Jul 1 10:08:24 2026 A0: 109414530536890378361471091860865982823954520 Wed Jul 1 10:08:24 2026 A1: -8681332910193430313006181469868259282 Wed Jul 1 10:08:24 2026 A2: -221265431901530156309048048133 Wed Jul 1 10:08:24 2026 A3: 30098196794360212071497 Wed Jul 1 10:08:24 2026 A4: 105562080850028 Wed Jul 1 10:08:24 2026 A5: 720720 Wed Jul 1 10:08:24 2026 skew 34192926.36, size 3.850e-18, alpha -8.353, combined = 4.043e-14 rroots = 1 Wed Jul 1 10:08:24 2026 Wed Jul 1 10:08:24 2026 commencing relation filtering Wed Jul 1 10:08:24 2026 setting 3 target densities:Wed Jul 1 10:08:24 2026 80Wed Jul 1 10:08:24 2026 100Wed Jul 1 10:08:24 2026 120Wed Jul 1 10:08:24 2026 Wed Jul 1 10:08:24 2026 estimated available RAM is 78540.1 MB Wed Jul 1 10:08:24 2026 commencing duplicate removal, pass 1 Wed Jul 1 10:09:09 2026 error -1 reading relation 41783977 Wed Jul 1 10:09:10 2026 error -1 reading relation 42591219 Wed Jul 1 10:09:17 2026 error -1 reading relation 48448476 Wed Jul 1 10:09:24 2026 error -1 reading relation 56311843 Wed Jul 1 10:09:28 2026 error -1 reading relation 59665285 Wed Jul 1 10:09:29 2026 error -1 reading relation 61230014 Wed Jul 1 10:09:36 2026 error -1 reading relation 67656823 Wed Jul 1 10:09:46 2026 error -1 reading relation 77053193 Wed Jul 1 10:09:46 2026 error -1 reading relation 77328990 Wed Jul 1 10:09:59 2026 error -1 reading relation 90397653 Wed Jul 1 10:10:30 2026 error -1 reading relation 115557047 Wed Jul 1 10:10:32 2026 error -1 reading relation 117072401 Wed Jul 1 10:10:33 2026 error -1 reading relation 118224352 Wed Jul 1 10:10:40 2026 error -1 reading relation 124086107 Wed Jul 1 10:10:41 2026 error -1 reading relation 124989767 Wed Jul 1 10:10:42 2026 error -1 reading relation 125866109 Wed Jul 1 10:10:57 2026 error -1 reading relation 143464095 Wed Jul 1 10:11:32 2026 error -1 reading relation 166604133 Wed Jul 1 10:12:08 2026 error -1 reading relation 193309993 Wed Jul 1 10:12:12 2026 error -1 reading relation 196367569 Wed Jul 1 10:12:58 2026 error -1 reading relation 229091541 Wed Jul 1 10:13:01 2026 error -1 reading relation 230686393 Wed Jul 1 10:13:03 2026 error -1 reading relation 231679824 Wed Jul 1 10:13:09 2026 error -1 reading relation 234822323 Wed Jul 1 10:13:22 2026 error -1 reading relation 242194831 Wed Jul 1 10:13:32 2026 error -1 reading relation 250503570 Wed Jul 1 10:13:36 2026 error -1 reading relation 252887111 Wed Jul 1 10:13:41 2026 error -1 reading relation 255889932 Wed Jul 1 10:13:58 2026 error -15 reading relation 267107411 Wed Jul 1 10:14:51 2026 error -1 reading relation 293608323 Wed Jul 1 10:14:59 2026 error -1 reading relation 297498512 Wed Jul 1 10:15:00 2026 error -1 reading relation 298547007 Wed Jul 1 10:15:44 2026 error -1 reading relation 320799377 Wed Jul 1 10:16:09 2026 error -1 reading relation 331532938 Wed Jul 1 10:16:13 2026 error -1 reading relation 333657449 Wed Jul 1 10:16:23 2026 error -1 reading relation 337333120 Wed Jul 1 10:16:39 2026 error -1 reading relation 344814688 Wed Jul 1 10:16:55 2026 error -1 reading relation 352853408 Wed Jul 1 10:17:02 2026 error -1 reading relation 356118008 Wed Jul 1 10:17:06 2026 error -1 reading relation 358166084 Wed Jul 1 10:18:13 2026 error -1 reading relation 390107873 Wed Jul 1 10:18:24 2026 error -1 reading relation 396802985 Wed Jul 1 10:18:33 2026 error -1 reading relation 402433348 Wed Jul 1 10:18:50 2026 error -1 reading relation 413482089 Wed Jul 1 10:18:59 2026 error -1 reading relation 419027478 Wed Jul 1 10:18:59 2026 error -1 reading relation 419046974 Wed Jul 1 10:19:02 2026 error -1 reading relation 421257233 Wed Jul 1 10:19:39 2026 error -1 reading relation 441409016 Wed Jul 1 10:19:42 2026 error -1 reading relation 445498249 Wed Jul 1 10:19:46 2026 error -1 reading relation 449878301 Wed Jul 1 10:19:46 2026 error -1 reading relation 450336672 Wed Jul 1 10:19:46 2026 error -1 reading relation 450340978 Wed Jul 1 10:19:59 2026 error -11 reading relation 464950794 Wed Jul 1 10:20:01 2026 error -1 reading relation 466496675 Wed Jul 1 10:20:08 2026 error -1 reading relation 470092176 Wed Jul 1 10:20:14 2026 error -1 reading relation 474093544 Wed Jul 1 10:20:27 2026 error -1 reading relation 481825033 Wed Jul 1 10:20:27 2026 error -1 reading relation 481981946 Wed Jul 1 10:20:39 2026 error -1 reading relation 488914876 Wed Jul 1 10:20:39 2026 error -1 reading relation 488992073 Wed Jul 1 10:20:43 2026 error -1 reading relation 492311609 Wed Jul 1 10:20:43 2026 error -1 reading relation 492542092 Wed Jul 1 10:21:07 2026 error -1 reading relation 507243240 Wed Jul 1 10:21:10 2026 error -1 reading relation 508332835 Wed Jul 1 10:21:10 2026 error -1 reading relation 508338978 Wed Jul 1 10:21:14 2026 error -1 reading relation 511538924 Wed Jul 1 10:21:27 2026 error -1 reading relation 518491269 Wed Jul 1 10:21:27 2026 error -1 reading relation 518495366 Wed Jul 1 10:21:39 2026 error -1 reading relation 525013638 Wed Jul 1 10:22:00 2026 error -1 reading relation 534636576 Wed Jul 1 10:22:20 2026 error -1 reading relation 544355719 Wed Jul 1 10:22:23 2026 error -1 reading relation 545720890 Wed Jul 1 10:22:38 2026 error -1 reading relation 551330133 Wed Jul 1 10:22:38 2026 error -1 reading relation 551490799 Wed Jul 1 10:22:38 2026 error -1 reading relation 551492956 Wed Jul 1 10:22:38 2026 error -1 reading relation 551495188 Wed Jul 1 10:22:38 2026 error -1 reading relation 551520780 Wed Jul 1 10:22:38 2026 error -1 reading relation 551531574 Wed Jul 1 10:22:39 2026 error -1 reading relation 551711452 Wed Jul 1 10:22:42 2026 error -1 reading relation 552748050 Wed Jul 1 10:22:44 2026 error -1 reading relation 553349119 Wed Jul 1 10:22:56 2026 error -1 reading relation 557513894 Wed Jul 1 10:23:06 2026 error -1 reading relation 560529284 Wed Jul 1 10:23:07 2026 error -1 reading relation 560796979 Wed Jul 1 10:23:19 2026 error -1 reading relation 565297678 Wed Jul 1 10:23:41 2026 error -1 reading relation 572356862 Wed Jul 1 10:23:47 2026 error -1 reading relation 574540434 Wed Jul 1 10:23:50 2026 error -1 reading relation 575265707 Wed Jul 1 10:24:33 2026 error -1 reading relation 586202981 Wed Jul 1 10:24:36 2026 error -1 reading relation 587764187 Wed Jul 1 10:24:39 2026 error -1 reading relation 588726055 Wed Jul 1 10:24:40 2026 error -1 reading relation 589324698 Wed Jul 1 10:24:58 2026 error -1 reading relation 598259309 Wed Jul 1 10:25:41 2026 error -1 reading relation 612422815 Wed Jul 1 10:25:51 2026 error -1 reading relation 617674116 Wed Jul 1 10:25:51 2026 error -1 reading relation 617722325 Wed Jul 1 10:26:12 2026 error -1 reading relation 627025438 Wed Jul 1 10:26:19 2026 skipped 1 relations with b > 2^32 Wed Jul 1 10:26:19 2026 skipped 6 relations with composite factors Wed Jul 1 10:26:19 2026 skipped 669 malformed relations Wed Jul 1 10:26:19 2026 found 124597225 hash collisions in 630796966 relations Wed Jul 1 10:26:32 2026 added 122194 free relations Wed Jul 1 10:26:32 2026 commencing duplicate removal, pass 2 Wed Jul 1 10:43:25 2026 found 131078001 duplicates and 499841159 unique relations Wed Jul 1 10:43:25 2026 memory use: 3411.0 MB Wed Jul 1 10:43:25 2026 reading ideals above 266928128 Wed Jul 1 10:43:25 2026 commencing singleton removal, initial pass Wed Jul 1 11:25:19 2026 memory use: 11024.0 MB Wed Jul 1 11:25:20 2026 reading all ideals from disk Wed Jul 1 11:26:12 2026 memory use: 13106.1 MB Wed Jul 1 11:27:16 2026 commencing in-memory singleton removal Wed Jul 1 11:27:20 2026 begin with 499841159 relations and 443553752 unique ideals Wed Jul 1 11:28:07 2026 reduce to 299449199 relations and 221132495 ideals in 15 passes Wed Jul 1 11:28:07 2026 max relations containing the same ideal: 32 Wed Jul 1 11:28:18 2026 reading ideals above 720000 Wed Jul 1 11:28:19 2026 commencing singleton removal, initial pass Wed Jul 1 12:05:00 2026 memory use: 6024.0 MB Wed Jul 1 12:05:01 2026 reading all ideals from disk Wed Jul 1 12:06:32 2026 memory use: 14842.5 MB Wed Jul 1 12:07:10 2026 keeping 248708499 ideals with weight <= 200, target excess is 1529359 Wed Jul 1 12:07:50 2026 commencing in-memory singleton removal Wed Jul 1 12:07:54 2026 begin with 299449199 relations and 248708499 unique ideals Wed Jul 1 12:08:33 2026 reduce to 299442546 relations and 248701846 ideals in 9 passes Wed Jul 1 12:08:33 2026 max relations containing the same ideal: 200 Wed Jul 1 12:11:06 2026 removing 14667436 relations and 12667436 ideals in 2000000 cliques Wed Jul 1 12:11:12 2026 commencing in-memory singleton removal Wed Jul 1 12:11:18 2026 begin with 284775110 relations and 248701846 unique ideals Wed Jul 1 12:11:54 2026 reduce to 284231567 relations and 235485739 ideals in 9 passes Wed Jul 1 12:11:54 2026 max relations containing the same ideal: 199 Wed Jul 1 12:14:18 2026 removing 11047570 relations and 9047570 ideals in 2000000 cliques Wed Jul 1 12:14:25 2026 commencing in-memory singleton removal Wed Jul 1 12:14:30 2026 begin with 273183997 relations and 235485739 unique ideals Wed Jul 1 12:15:01 2026 reduce to 272841287 relations and 226092737 ideals in 8 passes Wed Jul 1 12:15:01 2026 max relations containing the same ideal: 197 Wed Jul 1 12:17:19 2026 removing 9904320 relations and 7904320 ideals in 2000000 cliques Wed Jul 1 12:17:27 2026 commencing in-memory singleton removal Wed Jul 1 12:17:32 2026 begin with 262936967 relations and 226092737 unique ideals Wed Jul 1 12:17:58 2026 reduce to 262643062 relations and 217892232 ideals in 7 passes Wed Jul 1 12:17:58 2026 max relations containing the same ideal: 193 Wed Jul 1 12:20:03 2026 removing 9267814 relations and 7267814 ideals in 2000000 cliques Wed Jul 1 12:20:09 2026 commencing in-memory singleton removal Wed Jul 1 12:20:14 2026 begin with 253375248 relations and 217892232 unique ideals Wed Jul 1 12:20:38 2026 reduce to 253107265 relations and 210354425 ideals in 7 passes Wed Jul 1 12:20:38 2026 max relations containing the same ideal: 188 Wed Jul 1 12:22:40 2026 removing 8847895 relations and 6847895 ideals in 2000000 cliques Wed Jul 1 12:22:46 2026 commencing in-memory singleton removal Wed Jul 1 12:22:50 2026 begin with 244259370 relations and 210354425 unique ideals Wed Jul 1 12:23:13 2026 reduce to 244004160 relations and 203249474 ideals in 7 passes Wed Jul 1 12:23:13 2026 max relations containing the same ideal: 186 Wed Jul 1 12:24:26 2026 removing 8547793 relations and 6547793 ideals in 2000000 cliques Wed Jul 1 12:24:30 2026 commencing in-memory singleton removal Wed Jul 1 12:24:33 2026 begin with 235456367 relations and 203249474 unique ideals Wed Jul 1 12:24:47 2026 reduce to 235209461 relations and 196452866 ideals in 7 passes Wed Jul 1 12:24:47 2026 max relations containing the same ideal: 181 Wed Jul 1 12:26:22 2026 removing 8326187 relations and 6326187 ideals in 2000000 cliques Wed Jul 1 12:26:28 2026 commencing in-memory singleton removal Wed Jul 1 12:26:30 2026 begin with 226883274 relations and 196452866 unique ideals Wed Jul 1 12:26:53 2026 reduce to 226642403 relations and 189883867 ideals in 7 passes Wed Jul 1 12:26:53 2026 max relations containing the same ideal: 176 Wed Jul 1 12:28:43 2026 removing 8158548 relations and 6158548 ideals in 2000000 cliques Wed Jul 1 12:28:49 2026 commencing in-memory singleton removal Wed Jul 1 12:28:53 2026 begin with 218483855 relations and 189883867 unique ideals Wed Jul 1 12:29:12 2026 reduce to 218243040 relations and 183482464 ideals in 7 passes Wed Jul 1 12:29:12 2026 max relations containing the same ideal: 174 Wed Jul 1 12:30:55 2026 removing 8024128 relations and 6024128 ideals in 2000000 cliques Wed Jul 1 12:31:00 2026 commencing in-memory singleton removal Wed Jul 1 12:31:02 2026 begin with 210218912 relations and 183482464 unique ideals Wed Jul 1 12:31:22 2026 reduce to 209977591 relations and 177215108 ideals in 7 passes Wed Jul 1 12:31:22 2026 max relations containing the same ideal: 169 Wed Jul 1 12:33:06 2026 removing 7922410 relations and 5922410 ideals in 2000000 cliques Wed Jul 1 12:33:12 2026 commencing in-memory singleton removal Wed Jul 1 12:33:15 2026 begin with 202055181 relations and 177215108 unique ideals Wed Jul 1 12:33:36 2026 reduce to 201810473 relations and 171045832 ideals in 7 passes Wed Jul 1 12:33:36 2026 max relations containing the same ideal: 164 Wed Jul 1 12:35:15 2026 removing 7845854 relations and 5845854 ideals in 2000000 cliques Wed Jul 1 12:35:19 2026 commencing in-memory singleton removal Wed Jul 1 12:35:23 2026 begin with 193964619 relations and 171045832 unique ideals Wed Jul 1 12:35:38 2026 reduce to 193715018 relations and 164948030 ideals in 6 passes Wed Jul 1 12:35:38 2026 max relations containing the same ideal: 160 Wed Jul 1 12:37:13 2026 removing 7787621 relations and 5787621 ideals in 2000000 cliques Wed Jul 1 12:37:17 2026 commencing in-memory singleton removal Wed Jul 1 12:37:21 2026 begin with 185927397 relations and 164948030 unique ideals Wed Jul 1 12:37:36 2026 reduce to 185672373 relations and 158902894 ideals in 6 passes Wed Jul 1 12:37:36 2026 max relations containing the same ideal: 156 Wed Jul 1 12:39:05 2026 removing 7743915 relations and 5743915 ideals in 2000000 cliques Wed Jul 1 12:39:09 2026 commencing in-memory singleton removal Wed Jul 1 12:39:12 2026 begin with 177928458 relations and 158902894 unique ideals Wed Jul 1 12:39:30 2026 reduce to 177666836 relations and 152894665 ideals in 8 passes Wed Jul 1 12:39:30 2026 max relations containing the same ideal: 152 Wed Jul 1 12:40:58 2026 removing 7720558 relations and 5720558 ideals in 2000000 cliques Wed Jul 1 12:41:03 2026 commencing in-memory singleton removal Wed Jul 1 12:41:06 2026 begin with 169946278 relations and 152894665 unique ideals Wed Jul 1 12:41:25 2026 reduce to 169676393 relations and 146901347 ideals in 8 passes Wed Jul 1 12:41:25 2026 max relations containing the same ideal: 147 Wed Jul 1 12:42:50 2026 removing 7708955 relations and 5708955 ideals in 2000000 cliques Wed Jul 1 12:42:54 2026 commencing in-memory singleton removal Wed Jul 1 12:42:57 2026 begin with 161967438 relations and 146901347 unique ideals Wed Jul 1 12:43:13 2026 reduce to 161685782 relations and 140907723 ideals in 8 passes Wed Jul 1 12:43:13 2026 max relations containing the same ideal: 142 Wed Jul 1 12:44:30 2026 removing 7713653 relations and 5713653 ideals in 2000000 cliques Wed Jul 1 12:44:34 2026 commencing in-memory singleton removal Wed Jul 1 12:44:36 2026 begin with 153972129 relations and 140907723 unique ideals Wed Jul 1 12:44:52 2026 reduce to 153675723 relations and 134894397 ideals in 7 passes Wed Jul 1 12:44:52 2026 max relations containing the same ideal: 139 Wed Jul 1 12:46:07 2026 removing 7725034 relations and 5725034 ideals in 2000000 cliques Wed Jul 1 12:46:11 2026 commencing in-memory singleton removal Wed Jul 1 12:46:14 2026 begin with 145950689 relations and 134894397 unique ideals Wed Jul 1 12:46:28 2026 reduce to 145637438 relations and 128852434 ideals in 7 passes Wed Jul 1 12:46:28 2026 max relations containing the same ideal: 133 Wed Jul 1 12:47:40 2026 removing 7754788 relations and 5754788 ideals in 2000000 cliques Wed Jul 1 12:47:43 2026 commencing in-memory singleton removal Wed Jul 1 12:47:45 2026 begin with 137882650 relations and 128852434 unique ideals Wed Jul 1 12:47:59 2026 reduce to 137549969 relations and 122760719 ideals in 7 passes Wed Jul 1 12:47:59 2026 max relations containing the same ideal: 128 Wed Jul 1 12:49:04 2026 removing 7797949 relations and 5797949 ideals in 2000000 cliques Wed Jul 1 12:49:08 2026 commencing in-memory singleton removal Wed Jul 1 12:49:10 2026 begin with 129752020 relations and 122760719 unique ideals Wed Jul 1 12:49:24 2026 reduce to 129397174 relations and 116603356 ideals in 8 passes Wed Jul 1 12:49:24 2026 max relations containing the same ideal: 124 Wed Jul 1 12:50:31 2026 removing 7854100 relations and 5854100 ideals in 2000000 cliques Wed Jul 1 12:50:35 2026 commencing in-memory singleton removal Wed Jul 1 12:50:35 2026 begin with 121543074 relations and 116603356 unique ideals Wed Jul 1 12:50:48 2026 reduce to 121160212 relations and 110361215 ideals in 8 passes Wed Jul 1 12:50:48 2026 max relations containing the same ideal: 119 Wed Jul 1 12:51:47 2026 removing 7932325 relations and 5932325 ideals in 2000000 cliques Wed Jul 1 12:51:50 2026 commencing in-memory singleton removal Wed Jul 1 12:51:52 2026 begin with 113227887 relations and 110361215 unique ideals Wed Jul 1 12:52:03 2026 reduce to 112811621 relations and 104006644 ideals in 7 passes Wed Jul 1 12:52:03 2026 max relations containing the same ideal: 111 Wed Jul 1 12:53:02 2026 removing 8027745 relations and 6027745 ideals in 2000000 cliques Wed Jul 1 12:53:06 2026 commencing in-memory singleton removal Wed Jul 1 12:53:07 2026 begin with 104783876 relations and 104006644 unique ideals Wed Jul 1 12:53:17 2026 reduce to 104321979 relations and 97509901 ideals in 8 passes Wed Jul 1 12:53:17 2026 max relations containing the same ideal: 105 Wed Jul 1 12:54:08 2026 removing 8151561 relations and 6151561 ideals in 2000000 cliques Wed Jul 1 12:54:11 2026 commencing in-memory singleton removal Wed Jul 1 12:54:13 2026 begin with 96170418 relations and 97509901 unique ideals Wed Jul 1 12:54:21 2026 reduce to 95653059 relations and 90832466 ideals in 7 passes Wed Jul 1 12:54:21 2026 max relations containing the same ideal: 98 Wed Jul 1 12:55:14 2026 removing 8297920 relations and 6297920 ideals in 2000000 cliques Wed Jul 1 12:55:17 2026 commencing in-memory singleton removal Wed Jul 1 12:55:18 2026 begin with 87355139 relations and 90832466 unique ideals Wed Jul 1 12:55:29 2026 reduce to 86767290 relations and 83936567 ideals in 9 passes Wed Jul 1 12:55:29 2026 max relations containing the same ideal: 93 Wed Jul 1 12:56:13 2026 removing 5106862 relations and 4050196 ideals in 1056666 cliques Wed Jul 1 12:56:15 2026 commencing in-memory singleton removal Wed Jul 1 12:56:17 2026 begin with 81660428 relations and 83936567 unique ideals Wed Jul 1 12:56:25 2026 reduce to 81431166 relations and 79654755 ideals in 8 passes Wed Jul 1 12:56:25 2026 max relations containing the same ideal: 90 Wed Jul 1 12:57:09 2026 trying target density 80 Wed Jul 1 12:57:16 2026 relations with 0 large ideals: 5686 Wed Jul 1 12:57:16 2026 relations with 1 large ideals: 21500 Wed Jul 1 12:57:16 2026 relations with 2 large ideals: 333661 Wed Jul 1 12:57:16 2026 relations with 3 large ideals: 2218972 Wed Jul 1 12:57:16 2026 relations with 4 large ideals: 7949800 Wed Jul 1 12:57:16 2026 relations with 5 large ideals: 16917844 Wed Jul 1 12:57:16 2026 relations with 6 large ideals: 22425270 Wed Jul 1 12:57:16 2026 relations with 7+ large ideals: 31558433 Wed Jul 1 12:57:16 2026 commencing 2-way merge Wed Jul 1 12:58:13 2026 reduce to 49914948 relation sets and 48138537 unique ideals Wed Jul 1 12:58:13 2026 commencing full merge Wed Jul 1 13:13:52 2026 memory use: 5645.2 MB Wed Jul 1 13:14:03 2026 found 26077942 cycles, need 25832737 Wed Jul 1 13:14:12 2026 weight of 25832737 cycles is about 2066809822 (80.01/cycle) Wed Jul 1 13:14:12 2026 distribution of cycle lengths: Wed Jul 1 13:14:12 2026 1 relations: 3271878 Wed Jul 1 13:14:12 2026 2 relations: 2871232 Wed Jul 1 13:14:12 2026 3 relations: 2893193 Wed Jul 1 13:14:12 2026 4 relations: 2715280 Wed Jul 1 13:14:12 2026 5 relations: 2613782 Wed Jul 1 13:14:12 2026 6 relations: 2356968 Wed Jul 1 13:14:12 2026 7 relations: 2115943 Wed Jul 1 13:14:12 2026 8 relations: 1801864 Wed Jul 1 13:14:12 2026 9 relations: 1470426 Wed Jul 1 13:14:12 2026 10+ relations: 3722171 Wed Jul 1 13:14:12 2026 heaviest cycle: 19 relations Wed Jul 1 13:14:20 2026 commencing cycle optimization Wed Jul 1 13:15:17 2026 start with 141954823 relations Wed Jul 1 13:19:26 2026 pruned 3314150 relations Wed Jul 1 13:19:29 2026 memory use: 4776.9 MB Wed Jul 1 13:19:30 2026 distribution of cycle lengths: Wed Jul 1 13:19:30 2026 1 relations: 3271878 Wed Jul 1 13:19:30 2026 2 relations: 2933666 Wed Jul 1 13:19:30 2026 3 relations: 2987030 Wed Jul 1 13:19:30 2026 4 relations: 2783054 Wed Jul 1 13:19:30 2026 5 relations: 2680969 Wed Jul 1 13:19:30 2026 6 relations: 2402884 Wed Jul 1 13:19:30 2026 7 relations: 2149042 Wed Jul 1 13:19:30 2026 8 relations: 1806205 Wed Jul 1 13:19:30 2026 9 relations: 1454861 Wed Jul 1 13:19:30 2026 10+ relations: 3363148 Wed Jul 1 13:19:30 2026 heaviest cycle: 19 relations Wed Jul 1 13:20:28 2026 trying target density 100 Wed Jul 1 13:20:37 2026 relations with 0 large ideals: 5686 Wed Jul 1 13:20:37 2026 relations with 1 large ideals: 21500 Wed Jul 1 13:20:37 2026 relations with 2 large ideals: 333661 Wed Jul 1 13:20:37 2026 relations with 3 large ideals: 2218972 Wed Jul 1 13:20:37 2026 relations with 4 large ideals: 7949800 Wed Jul 1 13:20:37 2026 relations with 5 large ideals: 16917844 Wed Jul 1 13:20:37 2026 relations with 6 large ideals: 22425270 Wed Jul 1 13:20:37 2026 relations with 7+ large ideals: 31558433 Wed Jul 1 13:20:37 2026 commencing 2-way merge Wed Jul 1 13:21:26 2026 reduce to 49914948 relation sets and 48138537 unique ideals Wed Jul 1 13:21:26 2026 commencing full merge Wed Jul 1 13:40:30 2026 memory use: 5821.3 MB Wed Jul 1 13:40:41 2026 found 24031329 cycles, need 23802737 Wed Jul 1 13:40:48 2026 weight of 23802737 cycles is about 2380640008 (100.02/cycle) Wed Jul 1 13:40:48 2026 distribution of cycle lengths: Wed Jul 1 13:40:48 2026 1 relations: 2302306 Wed Jul 1 13:40:48 2026 2 relations: 2089596 Wed Jul 1 13:40:48 2026 3 relations: 2135535 Wed Jul 1 13:40:48 2026 4 relations: 2039239 Wed Jul 1 13:40:48 2026 5 relations: 2029010 Wed Jul 1 13:40:48 2026 6 relations: 1945054 Wed Jul 1 13:40:48 2026 7 relations: 1836388 Wed Jul 1 13:40:48 2026 8 relations: 1679092 Wed Jul 1 13:40:48 2026 9 relations: 1510290 Wed Jul 1 13:40:48 2026 10+ relations: 6236227 Wed Jul 1 13:40:48 2026 heaviest cycle: 23 relations Wed Jul 1 13:40:57 2026 commencing cycle optimization Wed Jul 1 13:41:51 2026 start with 163063770 relations Wed Jul 1 13:47:39 2026 pruned 5107336 relations Wed Jul 1 13:47:42 2026 memory use: 5000.8 MB Wed Jul 1 13:47:42 2026 distribution of cycle lengths: Wed Jul 1 13:47:42 2026 1 relations: 2302306 Wed Jul 1 13:47:42 2026 2 relations: 2140124 Wed Jul 1 13:47:42 2026 3 relations: 2212261 Wed Jul 1 13:47:42 2026 4 relations: 2104249 Wed Jul 1 13:47:42 2026 5 relations: 2102814 Wed Jul 1 13:47:42 2026 6 relations: 2004621 Wed Jul 1 13:47:42 2026 7 relations: 1893739 Wed Jul 1 13:47:42 2026 8 relations: 1718644 Wed Jul 1 13:47:42 2026 9 relations: 1540068 Wed Jul 1 13:47:42 2026 10+ relations: 5783911 Wed Jul 1 13:47:42 2026 heaviest cycle: 23 relations Wed Jul 1 13:48:39 2026 trying target density 120 Wed Jul 1 13:48:48 2026 relations with 0 large ideals: 5686 Wed Jul 1 13:48:48 2026 relations with 1 large ideals: 21500 Wed Jul 1 13:48:48 2026 relations with 2 large ideals: 333661 Wed Jul 1 13:48:48 2026 relations with 3 large ideals: 2218972 Wed Jul 1 13:48:48 2026 relations with 4 large ideals: 7949800 Wed Jul 1 13:48:48 2026 relations with 5 large ideals: 16917844 Wed Jul 1 13:48:48 2026 relations with 6 large ideals: 22425270 Wed Jul 1 13:48:48 2026 relations with 7+ large ideals: 31558433 Wed Jul 1 13:48:48 2026 commencing 2-way merge Wed Jul 1 13:49:37 2026 reduce to 49914948 relation sets and 48138537 unique ideals Wed Jul 1 13:49:37 2026 commencing full merge Wed Jul 1 14:12:42 2026 memory use: 5964.4 MB Wed Jul 1 14:12:51 2026 found 22548019 cycles, need 22396737 Wed Jul 1 14:13:00 2026 weight of 22396737 cycles is about 2687630823 (120.00/cycle) Wed Jul 1 14:13:00 2026 distribution of cycle lengths: Wed Jul 1 14:13:00 2026 1 relations: 1671015 Wed Jul 1 14:13:00 2026 2 relations: 1628479 Wed Jul 1 14:13:00 2026 3 relations: 1668632 Wed Jul 1 14:13:00 2026 4 relations: 1642040 Wed Jul 1 14:13:00 2026 5 relations: 1634635 Wed Jul 1 14:13:00 2026 6 relations: 1607803 Wed Jul 1 14:13:00 2026 7 relations: 1546788 Wed Jul 1 14:13:00 2026 8 relations: 1487890 Wed Jul 1 14:13:00 2026 9 relations: 1394105 Wed Jul 1 14:13:00 2026 10+ relations: 8115350 Wed Jul 1 14:13:00 2026 heaviest cycle: 28 relations Wed Jul 1 14:13:06 2026 commencing cycle optimization Wed Jul 1 14:14:07 2026 start with 183482601 relations Wed Jul 1 14:22:36 2026 pruned 7009860 relations Wed Jul 1 14:22:36 2026 memory use: 5212.3 MB Wed Jul 1 14:22:36 2026 distribution of cycle lengths: Wed Jul 1 14:22:36 2026 1 relations: 1671015 Wed Jul 1 14:22:36 2026 2 relations: 1668861 Wed Jul 1 14:22:36 2026 3 relations: 1732994 Wed Jul 1 14:22:36 2026 4 relations: 1699925 Wed Jul 1 14:22:36 2026 5 relations: 1703084 Wed Jul 1 14:22:36 2026 6 relations: 1668787 Wed Jul 1 14:22:36 2026 7 relations: 1612122 Wed Jul 1 14:22:36 2026 8 relations: 1542868 Wed Jul 1 14:22:36 2026 9 relations: 1442796 Wed Jul 1 14:22:36 2026 10+ relations: 7654285 Wed Jul 1 14:22:36 2026 heaviest cycle: 28 relations Wed Jul 1 14:23:37 2026 RelProcTime: 15313 Wed Jul 1 14:23:42 2026 Wed Jul 1 14:23:42 2026 commencing linear algebra Wed Jul 1 14:23:42 2026 using VBITS=256 Wed Jul 1 14:23:42 2026 building matrices for all densities Wed Jul 1 14:23:42 2026 found 3 density files Wed Jul 1 14:23:42 2026 building matrix for density 80 Wed Jul 1 14:23:45 2026 read 25832737 cycles Wed Jul 1 14:24:34 2026 cycles contain 80274232 unique relations Wed Jul 1 14:35:21 2026 read 80274232 relations Wed Jul 1 14:36:56 2026 using 20 quadratic characters above 4294917295 Wed Jul 1 14:37:41 2026 building initial matrix Wed Jul 1 14:56:01 2026 memory use: 11356.7 MB Wed Jul 1 14:56:58 2026 read 25832737 cycles Wed Jul 1 14:57:01 2026 matrix is 25832557 x 25832737 (8782.6 MB) with weight 2728005001 (105.60/col) Wed Jul 1 14:57:01 2026 sparse part has weight 1992311819 (77.12/col) Wed Jul 1 15:01:22 2026 filtering completed in 2 passes Wed Jul 1 15:01:29 2026 matrix is 25823412 x 25823591 (8781.9 MB) with weight 2727678005 (105.63/col) Wed Jul 1 15:01:29 2026 sparse part has weight 1992239913 (77.15/col) Wed Jul 1 15:02:28 2026 building matrix for density 100 Wed Jul 1 15:02:28 2026 read 23802737 cycles Wed Jul 1 15:03:09 2026 cycles contain 80308882 unique relations Wed Jul 1 15:17:50 2026 read 80308882 relations Wed Jul 1 15:19:53 2026 using 20 quadratic characters above 4294917295 Wed Jul 1 15:20:40 2026 building initial matrix Wed Jul 1 15:43:57 2026 memory use: 11372.6 MB Wed Jul 1 15:45:20 2026 read 23802737 cycles Wed Jul 1 15:45:23 2026 matrix is 23802558 x 23802737 (9706.5 MB) with weight 2985616875 (125.43/col) Wed Jul 1 15:45:23 2026 sparse part has weight 2258871354 (94.90/col) Wed Jul 1 15:49:32 2026 filtering completed in 2 passes Wed Jul 1 15:49:39 2026 matrix is 23798606 x 23798785 (9706.2 MB) with weight 2985448729 (125.45/col) Wed Jul 1 15:49:39 2026 sparse part has weight 2258826245 (94.91/col) Wed Jul 1 15:50:51 2026 building matrix for density 120 Wed Jul 1 15:50:53 2026 read 22396737 cycles Wed Jul 1 15:51:42 2026 cycles contain 80318550 unique relations Wed Jul 1 16:01:50 2026 read 80318550 relations Wed Jul 1 16:02:44 2026 using 20 quadratic characters above 4294917295 Wed Jul 1 16:03:20 2026 building initial matrix Wed Jul 1 16:22:29 2026 memory use: 11401.5 MB Wed Jul 1 16:23:36 2026 read 22396737 cycles Wed Jul 1 16:23:40 2026 matrix is 22396560 x 22396737 (10619.3 MB) with weight 3237200194 (144.54/col) Wed Jul 1 16:23:40 2026 sparse part has weight 2515031167 (112.29/col) Wed Jul 1 16:28:47 2026 filtering completed in 2 passes Wed Jul 1 16:28:54 2026 matrix is 22395128 x 22395304 (10619.2 MB) with weight 3237129521 (144.55/col) Wed Jul 1 16:28:54 2026 sparse part has weight 2515009652 (112.30/col) Wed Jul 1 16:30:01 2026 BLanczosTime: 7579 Wed Jul 1 16:30:01 2026 elapsed time 06:21:37 Thu Jul 2 00:26:10 2026 Thu Jul 2 00:26:10 2026 Thu Jul 2 00:26:10 2026 Msieve v. 1.54 (SVN unknown) Thu Jul 2 00:26:10 2026 random seeds: efd89757 01bc9a68 Thu Jul 2 00:26:10 2026 Using 8 OpenMP threads Thu Jul 2 00:26:10 2026 factoring 2796548338317684135367280545892903108563405497310793567610317240595344770981242061971959406756692925798845802211100951445543043176455618157115940885614671977444350743574110544353289657627 (187 digits) Thu Jul 2 00:26:11 2026 no P-1/P+1/ECM available, skipping Thu Jul 2 00:26:11 2026 commencing number field sieve (187-digit input) Thu Jul 2 00:26:11 2026 R0: -1730541185395745470694323842770478841 Thu Jul 2 00:26:11 2026 R1: 164589164601504746201587 Thu Jul 2 00:26:11 2026 A0: 109414530536890378361471091860865982823954520 Thu Jul 2 00:26:11 2026 A1: -8681332910193430313006181469868259282 Thu Jul 2 00:26:11 2026 A2: -221265431901530156309048048133 Thu Jul 2 00:26:11 2026 A3: 30098196794360212071497 Thu Jul 2 00:26:11 2026 A4: 105562080850028 Thu Jul 2 00:26:11 2026 A5: 720720 Thu Jul 2 00:26:11 2026 skew 34192926.36, size 3.850e-18, alpha -8.353, combined = 4.043e-14 rroots = 1 Thu Jul 2 00:26:11 2026 Thu Jul 2 00:26:11 2026 commencing linear algebra Thu Jul 2 00:26:11 2026 using VBITS=256 Thu Jul 2 00:26:11 2026 skipping matrix build Thu Jul 2 00:26:20 2026 matrix starts at (0, 0) Thu Jul 2 00:26:24 2026 matrix is 22395128 x 22395304 (10619.2 MB) with weight 3237129521 (144.55/col) Thu Jul 2 00:26:24 2026 sparse part has weight 2515009652 (112.30/col) Thu Jul 2 00:26:24 2026 saving the first 240 matrix rows for later Thu Jul 2 00:26:32 2026 matrix includes 256 packed rows Thu Jul 2 00:26:40 2026 matrix is 22394888 x 22395304 (9618.8 MB) with weight 2305377182 (102.94/col) Thu Jul 2 00:26:40 2026 sparse part has weight 2163186141 (96.59/col) Thu Jul 2 00:26:40 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Thu Jul 2 00:26:40 2026 selected card has CUDA arch 12.0 Thu Jul 2 00:26:44 2026 computed block_nnz 151924600 (L2 cache 100663296 bytes, average column weight 96.6) Thu Jul 2 00:26:44 2026 nonzeros per matrix block: 256000000 Thu Jul 2 00:34:42 2026 commencing Lanczos iteration Thu Jul 2 00:34:44 2026 memory use: 23509.2 MB Thu Jul 2 00:35:05 2026 linear algebra at 0.1%, ETA 4h 3m Thu Jul 2 00:35:36 2026 checking every 90000 dimensions, checkpointing every 5490000 dimensions Thu Jul 2 04:46:03 2026 lanczos halted after 87743 iterations (dim = 22394888) Thu Jul 2 04:47:44 2026 recovered 35 nontrivial dependencies Thu Jul 2 04:47:45 2026 BLanczosTime: 15694 Thu Jul 2 04:47:45 2026 elapsed time 04:21:35 Thu Jul 2 06:57:05 2026 Thu Jul 2 06:57:05 2026 Thu Jul 2 06:57:05 2026 Msieve v. 1.54 (SVN unknown) Thu Jul 2 06:57:05 2026 random seeds: 5fc4c050 bcd43a00 Thu Jul 2 06:57:05 2026 Using 14 OpenMP threads Thu Jul 2 06:57:05 2026 factoring 2796548338317684135367280545892903108563405497310793567610317240595344770981242061971959406756692925798845802211100951445543043176455618157115940885614671977444350743574110544353289657627 (187 digits) Thu Jul 2 06:57:05 2026 no P-1/P+1/ECM available, skipping Thu Jul 2 06:57:05 2026 commencing number field sieve (187-digit input) Thu Jul 2 06:57:05 2026 R0: -1730541185395745470694323842770478841 Thu Jul 2 06:57:05 2026 R1: 164589164601504746201587 Thu Jul 2 06:57:05 2026 A0: 109414530536890378361471091860865982823954520 Thu Jul 2 06:57:05 2026 A1: -8681332910193430313006181469868259282 Thu Jul 2 06:57:05 2026 A2: -221265431901530156309048048133 Thu Jul 2 06:57:05 2026 A3: 30098196794360212071497 Thu Jul 2 06:57:05 2026 A4: 105562080850028 Thu Jul 2 06:57:05 2026 A5: 720720 Thu Jul 2 06:57:05 2026 skew 34192926.36, size 3.850e-18, alpha -8.353, combined = 4.043e-14 rroots = 1 Thu Jul 2 06:57:05 2026 Thu Jul 2 06:57:05 2026 commencing square root phase Thu Jul 2 06:57:05 2026 reading relations for dependency 1 Thu Jul 2 06:57:06 2026 read 11196015 cycles Thu Jul 2 06:57:21 2026 cycles contain 40160224 unique relations Thu Jul 2 07:00:22 2026 read 40160224 relations Thu Jul 2 07:02:40 2026 multiplying 40160224 relations Thu Jul 2 07:06:27 2026 multiply complete, coefficients have about 2411.90 million bits Thu Jul 2 07:06:31 2026 initial square root is modulo 256799 Thu Jul 2 07:14:04 2026 GCD is N, no factor found Thu Jul 2 07:14:04 2026 reading relations for dependency 2 Thu Jul 2 07:14:05 2026 read 11195828 cycles Thu Jul 2 07:14:17 2026 cycles contain 40152554 unique relations Thu Jul 2 07:17:56 2026 read 40152554 relations Thu Jul 2 07:19:43 2026 multiplying 40152554 relations Thu Jul 2 07:23:29 2026 multiply complete, coefficients have about 2411.45 million bits Thu Jul 2 07:23:33 2026 initial square root is modulo 256181 Thu Jul 2 07:31:00 2026 sqrtTime: 2035 Thu Jul 2 07:31:00 2026 p90 factor: 179980707325420461509965478999611811630997317125318137237062222611561531601877428363279603 Thu Jul 2 07:31:00 2026 p98 factor: 15538045048691170796765265027025778405255574629582348147782952800888503475629165602622943716100409 Thu Jul 2 07:31:00 2026 elapsed time 00:33:55