Tue May 12 14:22:37 2026 Tue May 12 14:22:37 2026 Tue May 12 14:22:37 2026 Msieve v. 1.54 (SVN unknown) Tue May 12 14:22:37 2026 random seeds: b11814e8 2b72b08e Tue May 12 14:22:37 2026 Using 14 OpenMP threads Tue May 12 14:22:37 2026 factoring 18937595770677596419621532775733567010917496398617083185103007659396482236477386247630371621644489507666744151577358121098502129904739575743670144829800502606434109540855070425020323288023 (188 digits) Tue May 12 14:22:38 2026 no P-1/P+1/ECM available, skipping Tue May 12 14:22:38 2026 commencing number field sieve (188-digit input) Tue May 12 14:22:38 2026 R0: 1922702808685887112972393367573106069 Tue May 12 14:22:38 2026 R1: -91942965725243150385971 Tue May 12 14:22:38 2026 A0: 23352352321474319627845861510818313872013440 Tue May 12 14:22:38 2026 A1: 8341865982994090958702607573543565348 Tue May 12 14:22:38 2026 A2: 59945215556028600169619277363 Tue May 12 14:22:38 2026 A3: -11408454022916216103781 Tue May 12 14:22:38 2026 A4: -527917664855118 Tue May 12 14:22:38 2026 A5: 4324320 Tue May 12 14:22:38 2026 skew 1.00, size 3.304e-18, alpha -8.014, combined = 1.492e-16 rroots = 3 Tue May 12 14:22:38 2026 Tue May 12 14:22:38 2026 commencing relation filtering Tue May 12 14:22:38 2026 setting 3 target densities:Tue May 12 14:22:38 2026 80Tue May 12 14:22:38 2026 100Tue May 12 14:22:38 2026 120Tue May 12 14:22:38 2026 Tue May 12 14:22:38 2026 estimated available RAM is 78540.1 MB Tue May 12 14:22:38 2026 commencing duplicate removal, pass 1 Tue May 12 14:22:46 2026 error -1 reading relation 8015654 Tue May 12 14:23:27 2026 error -1 reading relation 44669666 Tue May 12 14:23:38 2026 error -1 reading relation 55822980 Tue May 12 14:24:07 2026 error -1 reading relation 78779037 Tue May 12 14:24:16 2026 error -1 reading relation 87465249 Tue May 12 14:24:41 2026 error -1 reading relation 111187449 Tue May 12 14:24:55 2026 error -1 reading relation 125332957 Tue May 12 14:24:57 2026 error -1 reading relation 127432026 Tue May 12 14:25:34 2026 error -1 reading relation 160374591 Tue May 12 14:25:52 2026 error -1 reading relation 177925970 Tue May 12 14:26:03 2026 error -1 reading relation 191248902 Tue May 12 14:26:11 2026 error -1 reading relation 200254822 Tue May 12 14:26:12 2026 error -1 reading relation 200834277 Tue May 12 14:26:31 2026 error -1 reading relation 220080597 Tue May 12 14:26:47 2026 error -1 reading relation 236464820 Tue May 12 14:27:01 2026 error -1 reading relation 252289395 Tue May 12 14:27:06 2026 error -1 reading relation 258330651 Tue May 12 14:27:15 2026 error -15 reading relation 267220182 Tue May 12 14:27:25 2026 error -1 reading relation 277950713 Tue May 12 14:27:27 2026 error -1 reading relation 279365928 Tue May 12 14:27:57 2026 error -1 reading relation 310529946 Tue May 12 14:28:13 2026 error -1 reading relation 329451628 Tue May 12 14:28:18 2026 error -1 reading relation 334809438 Tue May 12 14:28:18 2026 error -1 reading relation 334809929 Tue May 12 14:28:41 2026 error -1 reading relation 358787833 Tue May 12 14:28:48 2026 error -1 reading relation 365591542 Tue May 12 14:29:21 2026 error -1 reading relation 388752969 Tue May 12 14:29:24 2026 error -1 reading relation 390695842 Tue May 12 14:29:33 2026 error -1 reading relation 400230545 Tue May 12 14:29:45 2026 error -1 reading relation 414229724 Tue May 12 14:29:48 2026 error -1 reading relation 417493722 Tue May 12 14:30:02 2026 error -1 reading relation 429051198 Tue May 12 14:30:03 2026 error -1 reading relation 429541778 Tue May 12 14:30:21 2026 error -1 reading relation 446024217 Tue May 12 14:30:37 2026 error -1 reading relation 460436252 Tue May 12 14:30:37 2026 error -1 reading relation 460658591 Tue May 12 14:30:46 2026 error -11 reading relation 468525911 Tue May 12 14:31:03 2026 error -1 reading relation 483119836 Tue May 12 14:31:05 2026 error -1 reading relation 484899527 Tue May 12 14:31:05 2026 error -15 reading relation 485411009 Tue May 12 14:31:09 2026 error -1 reading relation 488445789 Tue May 12 14:31:14 2026 error -1 reading relation 493124204 Tue May 12 14:31:17 2026 error -1 reading relation 496082112 Tue May 12 14:31:24 2026 error -1 reading relation 502858368 Tue May 12 14:31:31 2026 error -1 reading relation 509182118 Tue May 12 14:31:52 2026 error -1 reading relation 529260201 Tue May 12 14:32:17 2026 error -1 reading relation 552484017 Tue May 12 14:32:19 2026 error -1 reading relation 554257728 Tue May 12 14:32:26 2026 error -1 reading relation 560298318 Tue May 12 14:32:34 2026 error -1 reading relation 567981083 Tue May 12 14:32:34 2026 error -1 reading relation 567991994 Tue May 12 14:32:39 2026 error -1 reading relation 572502379 Tue May 12 14:32:53 2026 error -1 reading relation 585086043 Tue May 12 14:32:53 2026 error -1 reading relation 585087145 Tue May 12 14:32:55 2026 error -1 reading relation 587447556 Tue May 12 14:32:56 2026 error -1 reading relation 588219934 Tue May 12 14:32:58 2026 error -1 reading relation 589267655 Tue May 12 14:33:04 2026 error -1 reading relation 595415188 Tue May 12 14:33:19 2026 error -1 reading relation 610410309 Tue May 12 14:33:20 2026 error -1 reading relation 611205790 Tue May 12 14:33:21 2026 error -1 reading relation 611473823 Tue May 12 14:33:37 2026 error -1 reading relation 627503347 Tue May 12 14:33:47 2026 error -1 reading relation 638777020 Tue May 12 14:33:55 2026 error -1 reading relation 646492781 Tue May 12 14:33:58 2026 error -1 reading relation 649617885 Tue May 12 14:34:14 2026 error -1 reading relation 665583557 Tue May 12 14:34:15 2026 error -1 reading relation 667425375 Tue May 12 14:34:19 2026 error -1 reading relation 671855109 Tue May 12 14:34:26 2026 skipped 1 relations with b > 2^32 Tue May 12 14:34:26 2026 skipped 562 malformed relations Tue May 12 14:34:26 2026 found 149762931 hash collisions in 679594965 relations Tue May 12 14:34:39 2026 added 122036 free relations Tue May 12 14:34:39 2026 commencing duplicate removal, pass 2 Tue May 12 14:39:49 2026 found 164316715 duplicates and 515400286 unique relations Tue May 12 14:39:49 2026 memory use: 3411.0 MB Tue May 12 14:39:50 2026 reading ideals above 291962880 Tue May 12 14:39:50 2026 commencing singleton removal, initial pass Tue May 12 15:01:44 2026 memory use: 11024.0 MB Tue May 12 15:01:44 2026 reading all ideals from disk Tue May 12 15:01:51 2026 memory use: 13403.7 MB Tue May 12 15:02:05 2026 commencing in-memory singleton removal Tue May 12 15:02:09 2026 begin with 515400286 relations and 446272886 unique ideals Tue May 12 15:02:33 2026 reduce to 320522974 relations and 231064360 ideals in 15 passes Tue May 12 15:02:33 2026 max relations containing the same ideal: 33 Tue May 12 15:02:39 2026 reading ideals above 720000 Tue May 12 15:02:40 2026 commencing singleton removal, initial pass Tue May 12 15:23:08 2026 memory use: 6024.0 MB Tue May 12 15:23:08 2026 reading all ideals from disk Tue May 12 15:23:25 2026 memory use: 15864.9 MB Tue May 12 15:23:42 2026 keeping 261112575 ideals with weight <= 200, target excess is 1638309 Tue May 12 15:24:08 2026 commencing in-memory singleton removal Tue May 12 15:24:12 2026 begin with 320522974 relations and 261112575 unique ideals Tue May 12 15:24:31 2026 reduce to 320516465 relations and 261106066 ideals in 8 passes Tue May 12 15:24:31 2026 max relations containing the same ideal: 200 Tue May 12 15:26:20 2026 removing 14008877 relations and 12008877 ideals in 2000000 cliques Tue May 12 15:26:26 2026 commencing in-memory singleton removal Tue May 12 15:26:30 2026 begin with 306507588 relations and 261106066 unique ideals Tue May 12 15:26:48 2026 reduce to 306053362 relations and 248638973 ideals in 8 passes Tue May 12 15:26:48 2026 max relations containing the same ideal: 200 Tue May 12 15:28:05 2026 removing 10582069 relations and 8582069 ideals in 2000000 cliques Tue May 12 15:28:10 2026 commencing in-memory singleton removal Tue May 12 15:28:13 2026 begin with 295471293 relations and 248638973 unique ideals Tue May 12 15:28:28 2026 reduce to 295182197 relations and 239765701 ideals in 7 passes Tue May 12 15:28:28 2026 max relations containing the same ideal: 197 Tue May 12 15:29:45 2026 removing 9505467 relations and 7505467 ideals in 2000000 cliques Tue May 12 15:29:50 2026 commencing in-memory singleton removal Tue May 12 15:29:53 2026 begin with 285676730 relations and 239765701 unique ideals Tue May 12 15:30:10 2026 reduce to 285430451 relations and 232012215 ideals in 7 passes Tue May 12 15:30:10 2026 max relations containing the same ideal: 194 Tue May 12 15:31:22 2026 removing 8896468 relations and 6896468 ideals in 2000000 cliques Tue May 12 15:31:26 2026 commencing in-memory singleton removal Tue May 12 15:31:29 2026 begin with 276533983 relations and 232012215 unique ideals Tue May 12 15:31:44 2026 reduce to 276308822 relations and 224889053 ideals in 7 passes Tue May 12 15:31:44 2026 max relations containing the same ideal: 190 Tue May 12 15:32:52 2026 removing 8495521 relations and 6495521 ideals in 2000000 cliques Tue May 12 15:32:56 2026 commencing in-memory singleton removal Tue May 12 15:33:00 2026 begin with 267813301 relations and 224889053 unique ideals Tue May 12 15:33:11 2026 reduce to 267600504 relations and 218179184 ideals in 6 passes Tue May 12 15:33:11 2026 max relations containing the same ideal: 188 Tue May 12 15:34:17 2026 removing 8203027 relations and 6203027 ideals in 2000000 cliques Tue May 12 15:34:21 2026 commencing in-memory singleton removal Tue May 12 15:34:24 2026 begin with 259397477 relations and 218179184 unique ideals Tue May 12 15:34:37 2026 reduce to 259191314 relations and 211768559 ideals in 7 passes Tue May 12 15:34:37 2026 max relations containing the same ideal: 184 Tue May 12 15:35:41 2026 removing 7981586 relations and 5981586 ideals in 2000000 cliques Tue May 12 15:35:44 2026 commencing in-memory singleton removal Tue May 12 15:35:48 2026 begin with 251209728 relations and 211768559 unique ideals Tue May 12 15:36:02 2026 reduce to 251007676 relations and 205583431 ideals in 8 passes Tue May 12 15:36:02 2026 max relations containing the same ideal: 181 Tue May 12 15:37:05 2026 removing 7816033 relations and 5816033 ideals in 2000000 cliques Tue May 12 15:37:09 2026 commencing in-memory singleton removal Tue May 12 15:37:12 2026 begin with 243191643 relations and 205583431 unique ideals Tue May 12 15:37:23 2026 reduce to 242993106 relations and 199567374 ideals in 7 passes Tue May 12 15:37:23 2026 max relations containing the same ideal: 178 Tue May 12 15:38:24 2026 removing 7685801 relations and 5685801 ideals in 2000000 cliques Tue May 12 15:38:27 2026 commencing in-memory singleton removal Tue May 12 15:38:30 2026 begin with 235307305 relations and 199567374 unique ideals Tue May 12 15:38:42 2026 reduce to 235107976 relations and 193680677 ideals in 7 passes Tue May 12 15:38:42 2026 max relations containing the same ideal: 173 Tue May 12 15:39:42 2026 removing 7575623 relations and 5575623 ideals in 2000000 cliques Tue May 12 15:39:45 2026 commencing in-memory singleton removal Tue May 12 15:39:48 2026 begin with 227532353 relations and 193680677 unique ideals Tue May 12 15:39:58 2026 reduce to 227332349 relations and 187903453 ideals in 7 passes Tue May 12 15:39:58 2026 max relations containing the same ideal: 171 Tue May 12 15:40:57 2026 removing 7490780 relations and 5490780 ideals in 2000000 cliques Tue May 12 15:40:59 2026 commencing in-memory singleton removal Tue May 12 15:41:02 2026 begin with 219841569 relations and 187903453 unique ideals Tue May 12 15:41:13 2026 reduce to 219639654 relations and 182209077 ideals in 7 passes Tue May 12 15:41:13 2026 max relations containing the same ideal: 168 Tue May 12 15:42:09 2026 removing 7430675 relations and 5430675 ideals in 2000000 cliques Tue May 12 15:42:12 2026 commencing in-memory singleton removal Tue May 12 15:42:15 2026 begin with 212208979 relations and 182209077 unique ideals Tue May 12 15:42:25 2026 reduce to 212005450 relations and 176573121 ideals in 6 passes Tue May 12 15:42:25 2026 max relations containing the same ideal: 165 Tue May 12 15:43:20 2026 removing 7375138 relations and 5375138 ideals in 2000000 cliques Tue May 12 15:43:23 2026 commencing in-memory singleton removal Tue May 12 15:43:25 2026 begin with 204630312 relations and 176573121 unique ideals Tue May 12 15:43:35 2026 reduce to 204422847 relations and 170988665 ideals in 7 passes Tue May 12 15:43:35 2026 max relations containing the same ideal: 159 Tue May 12 15:44:27 2026 removing 7333546 relations and 5333546 ideals in 2000000 cliques Tue May 12 15:44:30 2026 commencing in-memory singleton removal Tue May 12 15:44:32 2026 begin with 197089301 relations and 170988665 unique ideals Tue May 12 15:44:41 2026 reduce to 196877323 relations and 165441148 ideals in 7 passes Tue May 12 15:44:41 2026 max relations containing the same ideal: 156 Tue May 12 15:45:31 2026 removing 7308769 relations and 5308769 ideals in 2000000 cliques Tue May 12 15:45:34 2026 commencing in-memory singleton removal Tue May 12 15:45:36 2026 begin with 189568554 relations and 165441148 unique ideals Tue May 12 15:45:44 2026 reduce to 189349414 relations and 159911117 ideals in 6 passes Tue May 12 15:45:44 2026 max relations containing the same ideal: 152 Tue May 12 15:46:34 2026 removing 7292019 relations and 5292019 ideals in 2000000 cliques Tue May 12 15:46:37 2026 commencing in-memory singleton removal Tue May 12 15:46:39 2026 begin with 182057395 relations and 159911117 unique ideals Tue May 12 15:46:46 2026 reduce to 181832855 relations and 154392244 ideals in 6 passes Tue May 12 15:46:46 2026 max relations containing the same ideal: 148 Tue May 12 15:47:34 2026 removing 7284633 relations and 5284633 ideals in 2000000 cliques Tue May 12 15:47:36 2026 commencing in-memory singleton removal Tue May 12 15:47:38 2026 begin with 174548222 relations and 154392244 unique ideals Tue May 12 15:47:48 2026 reduce to 174314251 relations and 148871198 ideals in 8 passes Tue May 12 15:47:48 2026 max relations containing the same ideal: 143 Tue May 12 15:48:33 2026 removing 7288114 relations and 5288114 ideals in 2000000 cliques Tue May 12 15:48:36 2026 commencing in-memory singleton removal Tue May 12 15:48:38 2026 begin with 167026137 relations and 148871198 unique ideals Tue May 12 15:48:46 2026 reduce to 166783985 relations and 143338296 ideals in 7 passes Tue May 12 15:48:46 2026 max relations containing the same ideal: 140 Tue May 12 15:49:29 2026 removing 7299255 relations and 5299255 ideals in 2000000 cliques Tue May 12 15:49:32 2026 commencing in-memory singleton removal Tue May 12 15:49:33 2026 begin with 159484730 relations and 143338296 unique ideals Tue May 12 15:49:40 2026 reduce to 159230004 relations and 137781490 ideals in 6 passes Tue May 12 15:49:40 2026 max relations containing the same ideal: 137 Tue May 12 15:50:22 2026 removing 7323411 relations and 5323411 ideals in 2000000 cliques Tue May 12 15:50:24 2026 commencing in-memory singleton removal Tue May 12 15:50:26 2026 begin with 151906593 relations and 137781490 unique ideals Tue May 12 15:50:34 2026 reduce to 151637184 relations and 132185520 ideals in 8 passes Tue May 12 15:50:34 2026 max relations containing the same ideal: 132 Tue May 12 15:51:14 2026 removing 7354143 relations and 5354143 ideals in 2000000 cliques Tue May 12 15:51:17 2026 commencing in-memory singleton removal Tue May 12 15:51:18 2026 begin with 144283041 relations and 132185520 unique ideals Tue May 12 15:51:25 2026 reduce to 143999515 relations and 126544389 ideals in 7 passes Tue May 12 15:51:25 2026 max relations containing the same ideal: 128 Tue May 12 15:52:03 2026 removing 7395457 relations and 5395457 ideals in 2000000 cliques Tue May 12 15:52:06 2026 commencing in-memory singleton removal Tue May 12 15:52:07 2026 begin with 136604058 relations and 126544389 unique ideals Tue May 12 15:52:13 2026 reduce to 136302354 relations and 120843511 ideals in 7 passes Tue May 12 15:52:13 2026 max relations containing the same ideal: 124 Tue May 12 15:52:50 2026 removing 7446268 relations and 5446268 ideals in 2000000 cliques Tue May 12 15:52:52 2026 commencing in-memory singleton removal Tue May 12 15:52:53 2026 begin with 128856086 relations and 120843511 unique ideals Tue May 12 15:53:00 2026 reduce to 128531381 relations and 115068220 ideals in 7 passes Tue May 12 15:53:00 2026 max relations containing the same ideal: 119 Tue May 12 15:53:37 2026 removing 7513635 relations and 5513635 ideals in 2000000 cliques Tue May 12 15:53:40 2026 commencing in-memory singleton removal Tue May 12 15:53:41 2026 begin with 121017746 relations and 115068220 unique ideals Tue May 12 15:53:48 2026 reduce to 120667399 relations and 109199384 ideals in 8 passes Tue May 12 15:53:48 2026 max relations containing the same ideal: 113 Tue May 12 15:54:25 2026 removing 7601303 relations and 5601303 ideals in 2000000 cliques Tue May 12 15:54:26 2026 commencing in-memory singleton removal Tue May 12 15:54:28 2026 begin with 113066096 relations and 109199384 unique ideals Tue May 12 15:54:33 2026 reduce to 112684295 relations and 103210695 ideals in 7 passes Tue May 12 15:54:33 2026 max relations containing the same ideal: 108 Tue May 12 15:55:11 2026 removing 7708699 relations and 5708699 ideals in 2000000 cliques Tue May 12 15:55:15 2026 commencing in-memory singleton removal Tue May 12 15:55:17 2026 begin with 104975596 relations and 103210695 unique ideals Tue May 12 15:55:31 2026 reduce to 104553447 relations and 97073367 ideals in 8 passes Tue May 12 15:55:31 2026 max relations containing the same ideal: 103 Tue May 12 15:56:40 2026 removing 7833696 relations and 5833696 ideals in 2000000 cliques Tue May 12 15:56:44 2026 commencing in-memory singleton removal Tue May 12 15:56:46 2026 begin with 96719751 relations and 97073367 unique ideals Tue May 12 15:56:59 2026 reduce to 96245834 relations and 90758193 ideals in 8 passes Tue May 12 15:56:59 2026 max relations containing the same ideal: 98 Tue May 12 15:58:06 2026 removing 7991313 relations and 5991313 ideals in 2000000 cliques Tue May 12 15:58:09 2026 commencing in-memory singleton removal Tue May 12 15:58:11 2026 begin with 88254521 relations and 90758193 unique ideals Tue May 12 15:58:22 2026 reduce to 87714199 relations and 84217143 ideals in 8 passes Tue May 12 15:58:22 2026 max relations containing the same ideal: 92 Tue May 12 15:59:28 2026 removing 6829546 relations and 5232929 ideals in 1596617 cliques Tue May 12 15:59:31 2026 commencing in-memory singleton removal Tue May 12 15:59:33 2026 begin with 80884653 relations and 84217143 unique ideals Tue May 12 15:59:42 2026 reduce to 80455876 relations and 78548816 ideals in 8 passes Tue May 12 15:59:42 2026 max relations containing the same ideal: 87 Tue May 12 16:00:42 2026 trying target density 80 Tue May 12 16:00:50 2026 relations with 0 large ideals: 6061 Tue May 12 16:00:50 2026 relations with 1 large ideals: 28992 Tue May 12 16:00:50 2026 relations with 2 large ideals: 429263 Tue May 12 16:00:50 2026 relations with 3 large ideals: 2679156 Tue May 12 16:00:50 2026 relations with 4 large ideals: 8969163 Tue May 12 16:00:50 2026 relations with 5 large ideals: 17842464 Tue May 12 16:00:50 2026 relations with 6 large ideals: 22130650 Tue May 12 16:00:50 2026 relations with 7+ large ideals: 28370127 Tue May 12 16:00:50 2026 commencing 2-way merge Tue May 12 16:02:08 2026 reduce to 49525339 relation sets and 47618279 unique ideals Tue May 12 16:02:08 2026 commencing full merge Tue May 12 16:22:50 2026 memory use: 5454.1 MB Tue May 12 16:23:02 2026 found 25682553 cycles, need 25416479 Tue May 12 16:23:15 2026 weight of 25416479 cycles is about 2033689743 (80.01/cycle) Tue May 12 16:23:15 2026 distribution of cycle lengths: Tue May 12 16:23:15 2026 1 relations: 3058583 Tue May 12 16:23:15 2026 2 relations: 2766925 Tue May 12 16:23:15 2026 3 relations: 2832550 Tue May 12 16:23:15 2026 4 relations: 2696200 Tue May 12 16:23:15 2026 5 relations: 2621961 Tue May 12 16:23:15 2026 6 relations: 2373355 Tue May 12 16:23:15 2026 7 relations: 2124367 Tue May 12 16:23:15 2026 8 relations: 1797443 Tue May 12 16:23:15 2026 9 relations: 1461026 Tue May 12 16:23:15 2026 10+ relations: 3684069 Tue May 12 16:23:15 2026 heaviest cycle: 19 relations Tue May 12 16:23:23 2026 commencing cycle optimization Tue May 12 16:24:28 2026 start with 140973609 relations Tue May 12 16:29:20 2026 pruned 3384715 relations Tue May 12 16:29:25 2026 memory use: 4726.3 MB Tue May 12 16:29:25 2026 distribution of cycle lengths: Tue May 12 16:29:25 2026 1 relations: 3058583 Tue May 12 16:29:25 2026 2 relations: 2827691 Tue May 12 16:29:25 2026 3 relations: 2926365 Tue May 12 16:29:25 2026 4 relations: 2767028 Tue May 12 16:29:25 2026 5 relations: 2693411 Tue May 12 16:29:25 2026 6 relations: 2423632 Tue May 12 16:29:25 2026 7 relations: 2158950 Tue May 12 16:29:25 2026 8 relations: 1802040 Tue May 12 16:29:25 2026 9 relations: 1442249 Tue May 12 16:29:25 2026 10+ relations: 3316530 Tue May 12 16:29:25 2026 heaviest cycle: 18 relations Tue May 12 16:30:48 2026 trying target density 100 Tue May 12 16:31:03 2026 relations with 0 large ideals: 6061 Tue May 12 16:31:03 2026 relations with 1 large ideals: 28992 Tue May 12 16:31:03 2026 relations with 2 large ideals: 429263 Tue May 12 16:31:03 2026 relations with 3 large ideals: 2679156 Tue May 12 16:31:03 2026 relations with 4 large ideals: 8969163 Tue May 12 16:31:03 2026 relations with 5 large ideals: 17842464 Tue May 12 16:31:03 2026 relations with 6 large ideals: 22130650 Tue May 12 16:31:03 2026 relations with 7+ large ideals: 28370127 Tue May 12 16:31:03 2026 commencing 2-way merge Tue May 12 16:33:19 2026 reduce to 49525339 relation sets and 47618279 unique ideals Tue May 12 16:33:20 2026 commencing full merge Tue May 12 16:58:40 2026 memory use: 5605.1 MB Tue May 12 16:58:52 2026 found 23658177 cycles, need 23412479 Tue May 12 16:59:04 2026 weight of 23412479 cycles is about 2341627040 (100.02/cycle) Tue May 12 16:59:04 2026 distribution of cycle lengths: Tue May 12 16:59:04 2026 1 relations: 2132160 Tue May 12 16:59:04 2026 2 relations: 1989201 Tue May 12 16:59:04 2026 3 relations: 2068866 Tue May 12 16:59:04 2026 4 relations: 2014970 Tue May 12 16:59:04 2026 5 relations: 2025133 Tue May 12 16:59:04 2026 6 relations: 1949401 Tue May 12 16:59:04 2026 7 relations: 1848255 Tue May 12 16:59:04 2026 8 relations: 1685345 Tue May 12 16:59:04 2026 9 relations: 1516966 Tue May 12 16:59:04 2026 10+ relations: 6182182 Tue May 12 16:59:04 2026 heaviest cycle: 23 relations Tue May 12 16:59:13 2026 commencing cycle optimization Tue May 12 17:00:24 2026 start with 161884286 relations Tue May 12 17:07:48 2026 pruned 5214136 relations Tue May 12 17:07:53 2026 memory use: 4946.2 MB Tue May 12 17:07:53 2026 distribution of cycle lengths: Tue May 12 17:07:53 2026 1 relations: 2132160 Tue May 12 17:07:53 2026 2 relations: 2037891 Tue May 12 17:07:53 2026 3 relations: 2145512 Tue May 12 17:07:53 2026 4 relations: 2082402 Tue May 12 17:07:53 2026 5 relations: 2100963 Tue May 12 17:07:53 2026 6 relations: 2014382 Tue May 12 17:07:53 2026 7 relations: 1908341 Tue May 12 17:07:53 2026 8 relations: 1730037 Tue May 12 17:07:53 2026 9 relations: 1545803 Tue May 12 17:07:53 2026 10+ relations: 5714988 Tue May 12 17:07:53 2026 heaviest cycle: 23 relations Tue May 12 17:09:09 2026 trying target density 120 Tue May 12 17:09:18 2026 relations with 0 large ideals: 6061 Tue May 12 17:09:18 2026 relations with 1 large ideals: 28992 Tue May 12 17:09:18 2026 relations with 2 large ideals: 429263 Tue May 12 17:09:18 2026 relations with 3 large ideals: 2679156 Tue May 12 17:09:18 2026 relations with 4 large ideals: 8969163 Tue May 12 17:09:18 2026 relations with 5 large ideals: 17842464 Tue May 12 17:09:18 2026 relations with 6 large ideals: 22130650 Tue May 12 17:09:18 2026 relations with 7+ large ideals: 28370127 Tue May 12 17:09:18 2026 commencing 2-way merge Tue May 12 17:10:40 2026 reduce to 49525339 relation sets and 47618279 unique ideals Tue May 12 17:10:40 2026 commencing full merge Tue May 12 17:38:43 2026 memory use: 5723.8 MB Tue May 12 17:38:54 2026 found 22182311 cycles, need 22020479 Tue May 12 17:39:03 2026 weight of 22020479 cycles is about 2642764218 (120.01/cycle) Tue May 12 17:39:03 2026 distribution of cycle lengths: Tue May 12 17:39:03 2026 1 relations: 1564306 Tue May 12 17:39:03 2026 2 relations: 1527944 Tue May 12 17:39:03 2026 3 relations: 1600565 Tue May 12 17:39:03 2026 4 relations: 1598969 Tue May 12 17:39:03 2026 5 relations: 1614764 Tue May 12 17:39:03 2026 6 relations: 1603249 Tue May 12 17:39:03 2026 7 relations: 1549728 Tue May 12 17:39:03 2026 8 relations: 1489303 Tue May 12 17:39:03 2026 9 relations: 1399538 Tue May 12 17:39:03 2026 10+ relations: 8072113 Tue May 12 17:39:03 2026 heaviest cycle: 28 relations Tue May 12 17:39:11 2026 commencing cycle optimization Tue May 12 17:40:28 2026 start with 182042791 relations Tue May 12 17:50:44 2026 pruned 7142127 relations Tue May 12 17:50:44 2026 memory use: 5151.9 MB Tue May 12 17:50:44 2026 distribution of cycle lengths: Tue May 12 17:50:44 2026 1 relations: 1564306 Tue May 12 17:50:44 2026 2 relations: 1566705 Tue May 12 17:50:44 2026 3 relations: 1663450 Tue May 12 17:50:44 2026 4 relations: 1657829 Tue May 12 17:50:44 2026 5 relations: 1685829 Tue May 12 17:50:44 2026 6 relations: 1667288 Tue May 12 17:50:44 2026 7 relations: 1619039 Tue May 12 17:50:44 2026 8 relations: 1549036 Tue May 12 17:50:44 2026 9 relations: 1450503 Tue May 12 17:50:44 2026 10+ relations: 7596494 Tue May 12 17:50:44 2026 heaviest cycle: 28 relations Tue May 12 17:52:01 2026 RelProcTime: 12563 Tue May 12 17:52:01 2026 Tue May 12 17:52:01 2026 commencing linear algebra Tue May 12 17:52:01 2026 using VBITS=256 Tue May 12 17:52:01 2026 building matrices for all densities Tue May 12 17:52:01 2026 found 3 density files Tue May 12 17:52:01 2026 building matrix for density 80 Tue May 12 17:52:22 2026 read 25416479 cycles Tue May 12 17:53:52 2026 cycles contain 79160087 unique relations Tue May 12 18:12:27 2026 read 79160087 relations Tue May 12 18:13:07 2026 using 20 quadratic characters above 4294917295 Tue May 12 18:13:39 2026 building initial matrix Tue May 12 18:33:34 2026 memory use: 11020.1 MB Tue May 12 18:33:50 2026 read 25416479 cycles Tue May 12 18:33:54 2026 matrix is 25416302 x 25416479 (8650.6 MB) with weight 2710035129 (106.63/col) Tue May 12 18:33:54 2026 sparse part has weight 1962698318 (77.22/col) Tue May 12 18:39:19 2026 filtering completed in 2 passes Tue May 12 18:39:26 2026 matrix is 25405876 x 25406053 (8649.8 MB) with weight 2709652135 (106.65/col) Tue May 12 18:39:26 2026 sparse part has weight 1962610271 (77.25/col) Tue May 12 18:40:36 2026 building matrix for density 100 Tue May 12 18:40:38 2026 read 23412479 cycles Tue May 12 18:41:35 2026 cycles contain 79197059 unique relations Tue May 12 18:50:30 2026 read 79197059 relations Tue May 12 18:51:08 2026 using 20 quadratic characters above 4294917295 Tue May 12 18:51:39 2026 building initial matrix Tue May 12 19:13:04 2026 memory use: 11036.0 MB Tue May 12 19:13:27 2026 read 23412479 cycles Tue May 12 19:13:32 2026 matrix is 23412301 x 23412479 (9557.1 MB) with weight 2965225607 (126.65/col) Tue May 12 19:13:32 2026 sparse part has weight 2224385470 (95.01/col) Tue May 12 19:19:15 2026 filtering completed in 2 passes Tue May 12 19:19:22 2026 matrix is 23407805 x 23407983 (9556.7 MB) with weight 2965025094 (126.67/col) Tue May 12 19:19:22 2026 sparse part has weight 2224328189 (95.02/col) Tue May 12 19:20:36 2026 building matrix for density 120 Tue May 12 19:20:38 2026 read 22020479 cycles Tue May 12 19:21:37 2026 cycles contain 79210784 unique relations Tue May 12 19:26:26 2026 read 79210784 relations Tue May 12 19:27:01 2026 using 20 quadratic characters above 4294917295 Tue May 12 19:27:33 2026 building initial matrix Tue May 12 19:53:32 2026 memory use: 11064.7 MB Tue May 12 19:54:16 2026 read 22020479 cycles Tue May 12 19:54:19 2026 matrix is 22020300 x 22020479 (10449.9 MB) with weight 3213008873 (145.91/col) Tue May 12 19:54:19 2026 sparse part has weight 2475134883 (112.40/col) Tue May 12 19:59:46 2026 filtering completed in 2 passes Tue May 12 19:59:55 2026 matrix is 22018692 x 22018871 (10449.7 MB) with weight 3212929946 (145.92/col) Tue May 12 19:59:55 2026 sparse part has weight 2475112710 (112.41/col) Tue May 12 20:01:20 2026 BLanczosTime: 7759 Tue May 12 20:01:20 2026 elapsed time 05:38:43 Wed May 13 11:47:25 2026 Wed May 13 11:47:26 2026 Wed May 13 11:47:26 2026 Msieve v. 1.54 (SVN unknown) Wed May 13 11:47:26 2026 random seeds: cfd05800 76b3741d Wed May 13 11:47:26 2026 Using 20 OpenMP threads Wed May 13 11:47:26 2026 factoring 18937595770677596419621532775733567010917496398617083185103007659396482236477386247630371621644489507666744151577358121098502129904739575743670144829800502606434109540855070425020323288023 (188 digits) Wed May 13 11:47:26 2026 no P-1/P+1/ECM available, skipping Wed May 13 11:47:26 2026 commencing number field sieve (188-digit input) Wed May 13 11:47:26 2026 R0: 1922702808685887112972393367573106069 Wed May 13 11:47:26 2026 R1: -91942965725243150385971 Wed May 13 11:47:26 2026 A0: 23352352321474319627845861510818313872013440 Wed May 13 11:47:26 2026 A1: 8341865982994090958702607573543565348 Wed May 13 11:47:26 2026 A2: 59945215556028600169619277363 Wed May 13 11:47:26 2026 A3: -11408454022916216103781 Wed May 13 11:47:26 2026 A4: -527917664855118 Wed May 13 11:47:26 2026 A5: 4324320 Wed May 13 11:47:26 2026 skew 1.00, size 3.304e-18, alpha -8.014, combined = 1.492e-16 rroots = 3 Wed May 13 11:47:26 2026 Wed May 13 11:47:26 2026 commencing linear algebra Wed May 13 11:47:26 2026 using VBITS=64 Wed May 13 11:47:26 2026 skipping matrix build Wed May 13 11:47:33 2026 matrix starts at (0, 0) Wed May 13 11:47:35 2026 matrix is 23407805 x 23407983 (9556.7 MB) with weight 2965025094 (126.67/col) Wed May 13 11:47:35 2026 sparse part has weight 2224328189 (95.02/col) Wed May 13 11:47:35 2026 saving the first 48 matrix rows for later Wed May 13 11:47:37 2026 matrix includes 64 packed rows Wed May 13 11:47:41 2026 matrix is 23407757 x 23407983 (9349.2 MB) with weight 2491709858 (106.45/col) Wed May 13 11:47:41 2026 sparse part has weight 2216756588 (94.70/col) Wed May 13 11:47:41 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Wed May 13 11:47:41 2026 selected card has CUDA arch 12.0 Wed May 13 11:49:32 2026 commencing Lanczos iteration Wed May 13 11:49:33 2026 memory use: 18698.4 MB Wed May 13 11:50:06 2026 checking every 30000 dimensions, checkpointing every 2100000 dimensions Wed May 13 11:50:25 2026 linear algebra at 0.1%, ETA 11h 7m Wed May 13 22:48:37 2026 lanczos halted after 370170 iterations (dim = 23407757) Wed May 13 22:48:46 2026 recovered 32 nontrivial dependencies Wed May 13 22:48:46 2026 BLanczosTime: 39680 Wed May 13 22:48:46 2026 elapsed time 11:01:20 Wed May 13 19:38:16 2026 Wed May 13 19:38:16 2026 Wed May 13 19:38:16 2026 Msieve v. 1.54 (SVN unknown) Wed May 13 19:38:16 2026 random seeds: 8ddf5675 b08b8cda Wed May 13 19:38:16 2026 Using 14 OpenMP threads Wed May 13 19:38:16 2026 factoring 18937595770677596419621532775733567010917496398617083185103007659396482236477386247630371621644489507666744151577358121098502129904739575743670144829800502606434109540855070425020323288023 (188 digits) Wed May 13 19:38:16 2026 no P-1/P+1/ECM available, skipping Wed May 13 19:38:16 2026 commencing number field sieve (188-digit input) Wed May 13 19:38:16 2026 R0: 1922702808685887112972393367573106069 Wed May 13 19:38:16 2026 R1: -91942965725243150385971 Wed May 13 19:38:16 2026 A0: 23352352321474319627845861510818313872013440 Wed May 13 19:38:16 2026 A1: 8341865982994090958702607573543565348 Wed May 13 19:38:16 2026 A2: 59945215556028600169619277363 Wed May 13 19:38:16 2026 A3: -11408454022916216103781 Wed May 13 19:38:16 2026 A4: -527917664855118 Wed May 13 19:38:16 2026 A5: 4324320 Wed May 13 19:38:16 2026 skew 1.00, size 3.304e-18, alpha -8.014, combined = 1.492e-16 rroots = 3 Wed May 13 19:38:16 2026 Wed May 13 19:38:16 2026 commencing square root phase Wed May 13 19:38:16 2026 reading relations for dependency 1 Wed May 13 19:38:18 2026 read 11705994 cycles Wed May 13 19:38:31 2026 cycles contain 39609376 unique relations Wed May 13 19:42:35 2026 read 39609376 relations Wed May 13 19:44:24 2026 multiplying 39609376 relations Wed May 13 19:48:13 2026 multiply complete, coefficients have about 2451.07 million bits Wed May 13 19:48:18 2026 initial square root is modulo 314351 Wed May 13 19:56:05 2026 GCD is N, no factor found Wed May 13 19:56:05 2026 reading relations for dependency 2 Wed May 13 19:56:07 2026 read 11699007 cycles Wed May 13 19:56:20 2026 cycles contain 39582304 unique relations Wed May 13 20:02:30 2026 read 39582304 relations Wed May 13 20:04:16 2026 multiplying 39582304 relations Wed May 13 20:08:10 2026 multiply complete, coefficients have about 2449.39 million bits Wed May 13 20:08:15 2026 initial square root is modulo 311653 Wed May 13 20:15:56 2026 sqrtTime: 2260 Wed May 13 20:15:56 2026 p62 factor: 46633351645192027202252142039707532072292169337641741523699049 Wed May 13 20:15:56 2026 p126 factor: 406095532544251356494150324988279464813879113984664956405993520884207657582715598815425241491555470363171283424487717167851327 Wed May 13 20:15:56 2026 elapsed time 00:37:40