Sun Oct 12 11:13:26 2025 Sun Oct 12 11:13:26 2025 Sun Oct 12 11:13:26 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 12 11:13:26 2025 random seeds: b67acbca 45eafdcf Sun Oct 12 11:13:26 2025 MPI process 0 of 1 Sun Oct 12 11:13:26 2025 Using 46 OpenMP threads Sun Oct 12 11:13:26 2025 factoring 2721164443161022246915368083570664400251312591102368799450631265880034454290684238960448815370111040908837496819698101818193830300481865689691925346985656014891532962675273148572506620213134965899 (196 digits) Sun Oct 12 11:13:27 2025 no P-1/P+1/ECM available, skipping Sun Oct 12 11:13:27 2025 commencing number field sieve (196-digit input) Sun Oct 12 11:13:27 2025 R0: 67762635780344027125465800054371356964111328125 Sun Oct 12 11:13:27 2025 R1: -92709463147897837085761925410587 Sun Oct 12 11:13:27 2025 A0: 1 Sun Oct 12 11:13:27 2025 A1: 1 Sun Oct 12 11:13:27 2025 A2: 1 Sun Oct 12 11:13:27 2025 A3: 1 Sun Oct 12 11:13:27 2025 A4: 1 Sun Oct 12 11:13:27 2025 A5: 1 Sun Oct 12 11:13:27 2025 A6: 1 Sun Oct 12 11:13:27 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0 Sun Oct 12 11:13:27 2025 Sun Oct 12 11:13:27 2025 commencing relation filtering Sun Oct 12 11:13:27 2025 setting target matrix density to 110.0 Sun Oct 12 11:13:27 2025 estimated available RAM is 773418.9 MB Sun Oct 12 11:13:27 2025 commencing duplicate removal, pass 1 Sun Oct 12 11:21:34 2025 error -5 reading relation 271153729 Sun Oct 12 11:23:20 2025 error -11 reading relation 327186120 Sun Oct 12 11:24:27 2025 error -5 reading relation 366827808 Sun Oct 12 11:25:44 2025 error -1 reading relation 408056474 Sun Oct 12 11:25:44 2025 error -1 reading relation 408056730 Sun Oct 12 11:26:55 2025 error -11 reading relation 449867880 Sun Oct 12 11:27:56 2025 error -11 reading relation 482271942 Sun Oct 12 11:28:12 2025 error -5 reading relation 491340599 Sun Oct 12 11:29:42 2025 error -15 reading relation 539910976 Sun Oct 12 11:29:42 2025 error -15 reading relation 539911076 Sun Oct 12 11:29:42 2025 error -1 reading relation 539911133 Sun Oct 12 11:29:42 2025 error -1 reading relation 539911237 Sun Oct 12 11:29:42 2025 error -11 reading relation 539911241 Sun Oct 12 11:29:42 2025 error -1 reading relation 539911297 Sun Oct 12 11:29:42 2025 error -15 reading relation 539911542 Sun Oct 12 11:29:42 2025 error -5 reading relation 539911842 Sun Oct 12 11:29:42 2025 error -1 reading relation 539911888 Sun Oct 12 11:29:42 2025 error -1 reading relation 539912040 Sun Oct 12 11:29:42 2025 error -9 reading relation 539912514 Sun Oct 12 11:29:42 2025 error -1 reading relation 539912973 Sun Oct 12 11:29:42 2025 error -11 reading relation 539913025 Sun Oct 12 11:29:42 2025 error -11 reading relation 539913299 Sun Oct 12 11:29:42 2025 error -1 reading relation 539913615 Sun Oct 12 11:29:42 2025 error -1 reading relation 539913684 Sun Oct 12 11:29:42 2025 error -15 reading relation 539913859 Sun Oct 12 11:29:42 2025 error -11 reading relation 539913940 Sun Oct 12 11:29:42 2025 error -1 reading relation 539914302 Sun Oct 12 11:29:42 2025 error -1 reading relation 539914514 Sun Oct 12 11:29:42 2025 error -5 reading relation 539914733 Sun Oct 12 11:29:42 2025 error -5 reading relation 539914933 Sun Oct 12 11:29:42 2025 error -1 reading relation 539915036 Sun Oct 12 11:29:42 2025 error -11 reading relation 539915228 Sun Oct 12 11:29:42 2025 error -11 reading relation 539915251 Sun Oct 12 11:29:42 2025 error -11 reading relation 539915437 Sun Oct 12 11:29:42 2025 error -1 reading relation 539915463 Sun Oct 12 11:29:42 2025 error -11 reading relation 539915600 Sun Oct 12 11:29:42 2025 error -1 reading relation 539915672 Sun Oct 12 11:29:42 2025 error -11 reading relation 539915790 Sun Oct 12 11:29:42 2025 error -9 reading relation 539915816 Sun Oct 12 11:29:42 2025 error -11 reading relation 539915838 Sun Oct 12 11:29:42 2025 error -11 reading relation 539915917 Sun Oct 12 11:29:42 2025 error -9 reading relation 539916110 Sun Oct 12 11:29:42 2025 error -15 reading relation 539916171 Sun Oct 12 11:29:42 2025 error -1 reading relation 539916228 Sun Oct 12 11:29:42 2025 error -1 reading relation 539916435 Sun Oct 12 11:29:42 2025 error -1 reading relation 539916634 Sun Oct 12 11:30:34 2025 error -1 reading relation 569522362 Sun Oct 12 11:33:35 2025 error -11 reading relation 672869835 Sun Oct 12 11:33:35 2025 error -5 reading relation 672870389 Sun Oct 12 11:33:35 2025 error -1 reading relation 672870748 Sun Oct 12 11:33:35 2025 error -1 reading relation 672870843 Sun Oct 12 11:33:35 2025 error -1 reading relation 672870920 Sun Oct 12 11:33:35 2025 error -1 reading relation 672871036 Sun Oct 12 11:34:07 2025 skipped 10945 relations with b > 2^32 Sun Oct 12 11:34:07 2025 skipped 22 relations with composite factors Sun Oct 12 11:34:07 2025 skipped 1550 malformed relations Sun Oct 12 11:34:07 2025 found 26281109 hash collisions in 689992779 relations Sun Oct 12 11:34:12 2025 added 2438534 free relations Sun Oct 12 11:34:12 2025 commencing duplicate removal, pass 2 Sun Oct 12 11:36:21 2025 found 0 duplicates and 692431313 unique relations Sun Oct 12 11:36:21 2025 memory use: 2089.5 MB Sun Oct 12 11:36:21 2025 reading ideals above 720000 Sun Oct 12 11:36:22 2025 commencing singleton removal, initial pass Sun Oct 12 12:00:46 2025 memory use: 11024.0 MB Sun Oct 12 12:00:47 2025 reading all ideals from disk Sun Oct 12 12:00:55 2025 memory use: 35206.6 MB Sun Oct 12 12:01:30 2025 keeping 621948358 ideals with weight <= 200, target excess is 3616968 Sun Oct 12 12:02:25 2025 commencing in-memory singleton removal Sun Oct 12 12:02:29 2025 begin with 692431313 relations and 621948358 unique ideals Sun Oct 12 12:02:53 2025 reduce to 441207410 relations and 345954783 ideals in 14 passes Sun Oct 12 12:02:53 2025 max relations containing the same ideal: 160 Sun Oct 12 12:04:12 2025 removing 14045603 relations and 12045603 ideals in 2000000 cliques Sun Oct 12 12:04:23 2025 commencing in-memory singleton removal Sun Oct 12 12:04:25 2025 begin with 427161807 relations and 345954783 unique ideals Sun Oct 12 12:04:35 2025 reduce to 426846449 relations and 333591886 ideals in 7 passes Sun Oct 12 12:04:35 2025 max relations containing the same ideal: 159 Sun Oct 12 12:06:02 2025 removing 10631720 relations and 8631720 ideals in 2000000 cliques Sun Oct 12 12:06:11 2025 commencing in-memory singleton removal Sun Oct 12 12:06:13 2025 begin with 416214729 relations and 333591886 unique ideals Sun Oct 12 12:06:21 2025 reduce to 416010884 relations and 324755210 ideals in 6 passes Sun Oct 12 12:06:21 2025 max relations containing the same ideal: 155 Sun Oct 12 12:07:39 2025 removing 9538683 relations and 7538683 ideals in 2000000 cliques Sun Oct 12 12:07:49 2025 commencing in-memory singleton removal Sun Oct 12 12:07:51 2025 begin with 406472201 relations and 324755210 unique ideals Sun Oct 12 12:07:59 2025 reduce to 406299907 relations and 317043402 ideals in 7 passes Sun Oct 12 12:07:59 2025 max relations containing the same ideal: 153 Sun Oct 12 12:09:24 2025 removing 8909484 relations and 6909484 ideals in 2000000 cliques Sun Oct 12 12:09:33 2025 commencing in-memory singleton removal Sun Oct 12 12:09:34 2025 begin with 397390423 relations and 317043402 unique ideals Sun Oct 12 12:09:45 2025 reduce to 397234541 relations and 309977204 ideals in 10 passes Sun Oct 12 12:09:45 2025 max relations containing the same ideal: 150 Sun Oct 12 12:11:01 2025 removing 8485154 relations and 6485154 ideals in 2000000 cliques Sun Oct 12 12:11:10 2025 commencing in-memory singleton removal Sun Oct 12 12:11:12 2025 begin with 388749387 relations and 309977204 unique ideals Sun Oct 12 12:11:19 2025 reduce to 388602226 relations and 303344167 ideals in 6 passes Sun Oct 12 12:11:19 2025 max relations containing the same ideal: 149 Sun Oct 12 12:12:32 2025 removing 8171314 relations and 6171314 ideals in 2000000 cliques Sun Oct 12 12:12:41 2025 commencing in-memory singleton removal Sun Oct 12 12:12:43 2025 begin with 380430912 relations and 303344167 unique ideals Sun Oct 12 12:12:50 2025 reduce to 380291112 relations and 297032366 ideals in 6 passes Sun Oct 12 12:12:50 2025 max relations containing the same ideal: 146 Sun Oct 12 12:14:05 2025 removing 7934551 relations and 5934551 ideals in 2000000 cliques Sun Oct 12 12:14:15 2025 commencing in-memory singleton removal Sun Oct 12 12:14:16 2025 begin with 372356561 relations and 297032366 unique ideals Sun Oct 12 12:14:23 2025 reduce to 372221816 relations and 290962389 ideals in 6 passes Sun Oct 12 12:14:23 2025 max relations containing the same ideal: 141 Sun Oct 12 12:15:36 2025 removing 7741916 relations and 5741916 ideals in 2000000 cliques Sun Oct 12 12:15:44 2025 commencing in-memory singleton removal Sun Oct 12 12:15:46 2025 begin with 364479900 relations and 290962389 unique ideals Sun Oct 12 12:15:53 2025 reduce to 364347539 relations and 285087384 ideals in 6 passes Sun Oct 12 12:15:53 2025 max relations containing the same ideal: 140 Sun Oct 12 12:17:06 2025 removing 7582825 relations and 5582825 ideals in 2000000 cliques Sun Oct 12 12:17:14 2025 commencing in-memory singleton removal Sun Oct 12 12:17:16 2025 begin with 356764714 relations and 285087384 unique ideals Sun Oct 12 12:17:23 2025 reduce to 356634749 relations and 279373930 ideals in 6 passes Sun Oct 12 12:17:23 2025 max relations containing the same ideal: 139 Sun Oct 12 12:18:34 2025 removing 7460181 relations and 5460181 ideals in 2000000 cliques Sun Oct 12 12:18:42 2025 commencing in-memory singleton removal Sun Oct 12 12:18:43 2025 begin with 349174568 relations and 279373930 unique ideals Sun Oct 12 12:18:51 2025 reduce to 349045585 relations and 273784037 ideals in 7 passes Sun Oct 12 12:18:51 2025 max relations containing the same ideal: 139 Sun Oct 12 12:19:56 2025 removing 7352840 relations and 5352840 ideals in 2000000 cliques Sun Oct 12 12:20:03 2025 commencing in-memory singleton removal Sun Oct 12 12:20:05 2025 begin with 341692745 relations and 273784037 unique ideals Sun Oct 12 12:20:12 2025 reduce to 341565137 relations and 268302834 ideals in 6 passes Sun Oct 12 12:20:12 2025 max relations containing the same ideal: 138 Sun Oct 12 12:21:14 2025 removing 7260537 relations and 5260537 ideals in 2000000 cliques Sun Oct 12 12:21:21 2025 commencing in-memory singleton removal Sun Oct 12 12:21:23 2025 begin with 334304600 relations and 268302834 unique ideals Sun Oct 12 12:21:30 2025 reduce to 334177338 relations and 262914243 ideals in 6 passes Sun Oct 12 12:21:30 2025 max relations containing the same ideal: 134 Sun Oct 12 12:22:37 2025 removing 7181692 relations and 5181692 ideals in 2000000 cliques Sun Oct 12 12:22:45 2025 commencing in-memory singleton removal Sun Oct 12 12:22:46 2025 begin with 326995646 relations and 262914243 unique ideals Sun Oct 12 12:22:53 2025 reduce to 326868824 relations and 257604925 ideals in 6 passes Sun Oct 12 12:22:53 2025 max relations containing the same ideal: 132 Sun Oct 12 12:23:57 2025 removing 7114425 relations and 5114425 ideals in 2000000 cliques Sun Oct 12 12:24:05 2025 commencing in-memory singleton removal Sun Oct 12 12:24:06 2025 begin with 319754399 relations and 257604925 unique ideals Sun Oct 12 12:24:12 2025 reduce to 319626411 relations and 252361636 ideals in 6 passes Sun Oct 12 12:24:12 2025 max relations containing the same ideal: 131 Sun Oct 12 12:25:12 2025 removing 7060233 relations and 5060233 ideals in 2000000 cliques Sun Oct 12 12:25:19 2025 commencing in-memory singleton removal Sun Oct 12 12:25:20 2025 begin with 312566178 relations and 252361636 unique ideals Sun Oct 12 12:25:28 2025 reduce to 312438352 relations and 247172719 ideals in 8 passes Sun Oct 12 12:25:28 2025 max relations containing the same ideal: 131 Sun Oct 12 12:26:21 2025 removing 7008060 relations and 5008060 ideals in 2000000 cliques Sun Oct 12 12:26:27 2025 commencing in-memory singleton removal Sun Oct 12 12:26:29 2025 begin with 305430292 relations and 247172719 unique ideals Sun Oct 12 12:26:36 2025 reduce to 305300733 relations and 242034171 ideals in 7 passes Sun Oct 12 12:26:36 2025 max relations containing the same ideal: 127 Sun Oct 12 12:27:35 2025 removing 6963485 relations and 4963485 ideals in 2000000 cliques Sun Oct 12 12:27:42 2025 commencing in-memory singleton removal Sun Oct 12 12:27:43 2025 begin with 298337248 relations and 242034171 unique ideals Sun Oct 12 12:27:49 2025 reduce to 298207220 relations and 236939769 ideals in 6 passes Sun Oct 12 12:27:49 2025 max relations containing the same ideal: 126 Sun Oct 12 12:28:45 2025 removing 6930097 relations and 4930097 ideals in 2000000 cliques Sun Oct 12 12:28:52 2025 commencing in-memory singleton removal Sun Oct 12 12:28:53 2025 begin with 291277123 relations and 236939769 unique ideals Sun Oct 12 12:28:59 2025 reduce to 291146011 relations and 231877590 ideals in 6 passes Sun Oct 12 12:28:59 2025 max relations containing the same ideal: 123 Sun Oct 12 12:29:55 2025 removing 6899598 relations and 4899598 ideals in 2000000 cliques Sun Oct 12 12:30:01 2025 commencing in-memory singleton removal Sun Oct 12 12:30:02 2025 begin with 284246413 relations and 231877590 unique ideals Sun Oct 12 12:30:08 2025 reduce to 284112727 relations and 226843329 ideals in 6 passes Sun Oct 12 12:30:08 2025 max relations containing the same ideal: 122 Sun Oct 12 12:31:06 2025 removing 6870808 relations and 4870808 ideals in 2000000 cliques Sun Oct 12 12:31:13 2025 commencing in-memory singleton removal Sun Oct 12 12:31:14 2025 begin with 277241919 relations and 226843329 unique ideals Sun Oct 12 12:31:20 2025 reduce to 277106343 relations and 221835927 ideals in 6 passes Sun Oct 12 12:31:20 2025 max relations containing the same ideal: 118 Sun Oct 12 12:32:17 2025 removing 6855060 relations and 4855060 ideals in 2000000 cliques Sun Oct 12 12:32:23 2025 commencing in-memory singleton removal Sun Oct 12 12:32:25 2025 begin with 270251283 relations and 221835927 unique ideals Sun Oct 12 12:32:30 2025 reduce to 270113563 relations and 216842047 ideals in 6 passes Sun Oct 12 12:32:30 2025 max relations containing the same ideal: 116 Sun Oct 12 12:33:21 2025 removing 6832826 relations and 4832826 ideals in 2000000 cliques Sun Oct 12 12:33:27 2025 commencing in-memory singleton removal Sun Oct 12 12:33:28 2025 begin with 263280737 relations and 216842047 unique ideals Sun Oct 12 12:33:33 2025 reduce to 263140660 relations and 211868030 ideals in 6 passes Sun Oct 12 12:33:33 2025 max relations containing the same ideal: 113 Sun Oct 12 12:34:22 2025 removing 6821481 relations and 4821481 ideals in 2000000 cliques Sun Oct 12 12:34:28 2025 commencing in-memory singleton removal Sun Oct 12 12:34:29 2025 begin with 256319179 relations and 211868030 unique ideals Sun Oct 12 12:34:34 2025 reduce to 256176443 relations and 206902661 ideals in 6 passes Sun Oct 12 12:34:34 2025 max relations containing the same ideal: 112 Sun Oct 12 12:35:24 2025 removing 6809184 relations and 4809184 ideals in 2000000 cliques Sun Oct 12 12:35:30 2025 commencing in-memory singleton removal Sun Oct 12 12:35:31 2025 begin with 249367259 relations and 206902661 unique ideals Sun Oct 12 12:35:36 2025 reduce to 249221234 relations and 201946165 ideals in 6 passes Sun Oct 12 12:35:36 2025 max relations containing the same ideal: 110 Sun Oct 12 12:36:23 2025 removing 6805441 relations and 4805441 ideals in 2000000 cliques Sun Oct 12 12:36:29 2025 commencing in-memory singleton removal Sun Oct 12 12:36:30 2025 begin with 242415793 relations and 201946165 unique ideals Sun Oct 12 12:36:35 2025 reduce to 242266992 relations and 196990542 ideals in 7 passes Sun Oct 12 12:36:35 2025 max relations containing the same ideal: 107 Sun Oct 12 12:37:21 2025 removing 6801955 relations and 4801955 ideals in 2000000 cliques Sun Oct 12 12:37:26 2025 commencing in-memory singleton removal Sun Oct 12 12:37:27 2025 begin with 235465037 relations and 196990542 unique ideals Sun Oct 12 12:37:32 2025 reduce to 235313042 relations and 192035315 ideals in 6 passes Sun Oct 12 12:37:32 2025 max relations containing the same ideal: 104 Sun Oct 12 12:38:22 2025 removing 6800756 relations and 4800756 ideals in 2000000 cliques Sun Oct 12 12:38:27 2025 commencing in-memory singleton removal Sun Oct 12 12:38:28 2025 begin with 228512286 relations and 192035315 unique ideals Sun Oct 12 12:38:33 2025 reduce to 228356430 relations and 187077209 ideals in 6 passes Sun Oct 12 12:38:33 2025 max relations containing the same ideal: 102 Sun Oct 12 12:39:23 2025 removing 6805689 relations and 4805689 ideals in 2000000 cliques Sun Oct 12 12:39:29 2025 commencing in-memory singleton removal Sun Oct 12 12:39:30 2025 begin with 221550741 relations and 187077209 unique ideals Sun Oct 12 12:39:34 2025 reduce to 221389242 relations and 182108475 ideals in 6 passes Sun Oct 12 12:39:34 2025 max relations containing the same ideal: 101 Sun Oct 12 12:40:16 2025 removing 6812247 relations and 4812247 ideals in 2000000 cliques Sun Oct 12 12:40:21 2025 commencing in-memory singleton removal Sun Oct 12 12:40:22 2025 begin with 214576995 relations and 182108475 unique ideals Sun Oct 12 12:40:26 2025 reduce to 214411632 relations and 177129261 ideals in 6 passes Sun Oct 12 12:40:26 2025 max relations containing the same ideal: 98 Sun Oct 12 12:41:07 2025 removing 6819227 relations and 4819227 ideals in 2000000 cliques Sun Oct 12 12:41:12 2025 commencing in-memory singleton removal Sun Oct 12 12:41:13 2025 begin with 207592405 relations and 177129261 unique ideals Sun Oct 12 12:41:17 2025 reduce to 207422552 relations and 172138468 ideals in 6 passes Sun Oct 12 12:41:17 2025 max relations containing the same ideal: 96 Sun Oct 12 12:41:57 2025 removing 6826252 relations and 4826252 ideals in 2000000 cliques Sun Oct 12 12:42:01 2025 commencing in-memory singleton removal Sun Oct 12 12:42:02 2025 begin with 200596300 relations and 172138468 unique ideals Sun Oct 12 12:42:06 2025 reduce to 200421284 relations and 167135380 ideals in 6 passes Sun Oct 12 12:42:06 2025 max relations containing the same ideal: 94 Sun Oct 12 12:42:45 2025 removing 6842831 relations and 4842831 ideals in 2000000 cliques Sun Oct 12 12:42:49 2025 commencing in-memory singleton removal Sun Oct 12 12:42:50 2025 begin with 193578453 relations and 167135380 unique ideals Sun Oct 12 12:42:54 2025 reduce to 193398081 relations and 162110188 ideals in 6 passes Sun Oct 12 12:42:54 2025 max relations containing the same ideal: 93 Sun Oct 12 12:43:31 2025 removing 6859750 relations and 4859750 ideals in 2000000 cliques Sun Oct 12 12:43:36 2025 commencing in-memory singleton removal Sun Oct 12 12:43:37 2025 begin with 186538331 relations and 162110188 unique ideals Sun Oct 12 12:43:40 2025 reduce to 186351583 relations and 157061627 ideals in 7 passes Sun Oct 12 12:43:40 2025 max relations containing the same ideal: 90 Sun Oct 12 12:44:17 2025 removing 6878945 relations and 4878945 ideals in 2000000 cliques Sun Oct 12 12:44:21 2025 commencing in-memory singleton removal Sun Oct 12 12:44:22 2025 begin with 179472638 relations and 157061627 unique ideals Sun Oct 12 12:44:25 2025 reduce to 179279639 relations and 151987479 ideals in 7 passes Sun Oct 12 12:44:25 2025 max relations containing the same ideal: 89 Sun Oct 12 12:45:01 2025 removing 6900782 relations and 4900782 ideals in 2000000 cliques Sun Oct 12 12:45:05 2025 commencing in-memory singleton removal Sun Oct 12 12:45:06 2025 begin with 172378857 relations and 151987479 unique ideals Sun Oct 12 12:45:09 2025 reduce to 172178672 relations and 146884243 ideals in 6 passes Sun Oct 12 12:45:09 2025 max relations containing the same ideal: 88 Sun Oct 12 12:45:43 2025 removing 6922901 relations and 4922901 ideals in 2000000 cliques Sun Oct 12 12:45:47 2025 commencing in-memory singleton removal Sun Oct 12 12:45:48 2025 begin with 165255771 relations and 146884243 unique ideals Sun Oct 12 12:45:51 2025 reduce to 165047118 relations and 141750246 ideals in 6 passes Sun Oct 12 12:45:51 2025 max relations containing the same ideal: 84 Sun Oct 12 12:46:24 2025 removing 6950914 relations and 4950914 ideals in 2000000 cliques Sun Oct 12 12:46:28 2025 commencing in-memory singleton removal Sun Oct 12 12:46:29 2025 begin with 158096204 relations and 141750246 unique ideals Sun Oct 12 12:46:32 2025 reduce to 157879206 relations and 136579698 ideals in 6 passes Sun Oct 12 12:46:32 2025 max relations containing the same ideal: 82 Sun Oct 12 12:47:03 2025 removing 6984148 relations and 4984148 ideals in 2000000 cliques Sun Oct 12 12:47:07 2025 commencing in-memory singleton removal Sun Oct 12 12:47:08 2025 begin with 150895058 relations and 136579698 unique ideals Sun Oct 12 12:47:11 2025 reduce to 150668496 relations and 131366180 ideals in 7 passes Sun Oct 12 12:47:11 2025 max relations containing the same ideal: 78 Sun Oct 12 12:47:42 2025 removing 7018136 relations and 5018136 ideals in 2000000 cliques Sun Oct 12 12:47:45 2025 commencing in-memory singleton removal Sun Oct 12 12:47:46 2025 begin with 143650360 relations and 131366180 unique ideals Sun Oct 12 12:47:49 2025 reduce to 143414353 relations and 126109071 ideals in 7 passes Sun Oct 12 12:47:49 2025 max relations containing the same ideal: 76 Sun Oct 12 12:48:18 2025 removing 7052558 relations and 5052558 ideals in 2000000 cliques Sun Oct 12 12:48:22 2025 commencing in-memory singleton removal Sun Oct 12 12:48:22 2025 begin with 136361795 relations and 126109071 unique ideals Sun Oct 12 12:48:25 2025 reduce to 136112003 relations and 120803441 ideals in 7 passes Sun Oct 12 12:48:25 2025 max relations containing the same ideal: 74 Sun Oct 12 12:48:54 2025 removing 7095725 relations and 5095725 ideals in 2000000 cliques Sun Oct 12 12:48:57 2025 commencing in-memory singleton removal Sun Oct 12 12:48:58 2025 begin with 129016278 relations and 120803441 unique ideals Sun Oct 12 12:49:00 2025 reduce to 128751458 relations and 115439267 ideals in 6 passes Sun Oct 12 12:49:00 2025 max relations containing the same ideal: 71 Sun Oct 12 12:49:27 2025 removing 7134083 relations and 5134083 ideals in 2000000 cliques Sun Oct 12 12:49:31 2025 commencing in-memory singleton removal Sun Oct 12 12:49:31 2025 begin with 121617375 relations and 115439267 unique ideals Sun Oct 12 12:49:34 2025 reduce to 121335041 relations and 110018917 ideals in 7 passes Sun Oct 12 12:49:34 2025 max relations containing the same ideal: 69 Sun Oct 12 12:49:59 2025 removing 7185475 relations and 5185475 ideals in 2000000 cliques Sun Oct 12 12:50:03 2025 commencing in-memory singleton removal Sun Oct 12 12:50:03 2025 begin with 114149566 relations and 110018917 unique ideals Sun Oct 12 12:50:06 2025 reduce to 113847221 relations and 104526715 ideals in 7 passes Sun Oct 12 12:50:06 2025 max relations containing the same ideal: 66 Sun Oct 12 12:50:29 2025 removing 7248464 relations and 5248464 ideals in 2000000 cliques Sun Oct 12 12:50:33 2025 commencing in-memory singleton removal Sun Oct 12 12:50:33 2025 begin with 106598757 relations and 104526715 unique ideals Sun Oct 12 12:50:35 2025 reduce to 106272528 relations and 98947011 ideals in 7 passes Sun Oct 12 12:50:35 2025 max relations containing the same ideal: 64 Sun Oct 12 12:50:58 2025 removing 7313439 relations and 5313439 ideals in 2000000 cliques Sun Oct 12 12:51:01 2025 commencing in-memory singleton removal Sun Oct 12 12:51:01 2025 begin with 98959089 relations and 98947011 unique ideals Sun Oct 12 12:51:03 2025 reduce to 98601582 relations and 93270279 ideals in 7 passes Sun Oct 12 12:51:03 2025 max relations containing the same ideal: 59 Sun Oct 12 12:51:24 2025 removing 4642443 relations and 3506823 ideals in 1135620 cliques Sun Oct 12 12:51:27 2025 commencing in-memory singleton removal Sun Oct 12 12:51:27 2025 begin with 93959139 relations and 93270279 unique ideals Sun Oct 12 12:51:29 2025 reduce to 93808591 relations and 89611388 ideals in 7 passes Sun Oct 12 12:51:29 2025 max relations containing the same ideal: 58 Sun Oct 12 12:51:59 2025 relations with 0 large ideals: 276238 Sun Oct 12 12:51:59 2025 relations with 1 large ideals: 154980 Sun Oct 12 12:51:59 2025 relations with 2 large ideals: 1560612 Sun Oct 12 12:51:59 2025 relations with 3 large ideals: 7132325 Sun Oct 12 12:51:59 2025 relations with 4 large ideals: 17308289 Sun Oct 12 12:51:59 2025 relations with 5 large ideals: 24874323 Sun Oct 12 12:51:59 2025 relations with 6 large ideals: 22278883 Sun Oct 12 12:51:59 2025 relations with 7+ large ideals: 20222941 Sun Oct 12 12:51:59 2025 commencing 2-way merge Sun Oct 12 12:52:34 2025 reduce to 60780784 relation sets and 56583581 unique ideals Sun Oct 12 12:52:34 2025 commencing full merge Sun Oct 12 13:04:37 2025 memory use: 7227.0 MB Sun Oct 12 13:04:41 2025 found 28716560 cycles, need 28199781 Sun Oct 12 13:04:49 2025 weight of 28199781 cycles is about 3102216510 (110.01/cycle) Sun Oct 12 13:04:49 2025 distribution of cycle lengths: Sun Oct 12 13:04:49 2025 1 relations: 1623471 Sun Oct 12 13:04:49 2025 2 relations: 1898479 Sun Oct 12 13:04:49 2025 3 relations: 2136331 Sun Oct 12 13:04:49 2025 4 relations: 2199566 Sun Oct 12 13:04:49 2025 5 relations: 2234228 Sun Oct 12 13:04:49 2025 6 relations: 2224076 Sun Oct 12 13:04:49 2025 7 relations: 2160265 Sun Oct 12 13:04:49 2025 8 relations: 2061110 Sun Oct 12 13:04:49 2025 9 relations: 1921543 Sun Oct 12 13:04:49 2025 10+ relations: 9740712 Sun Oct 12 13:04:49 2025 heaviest cycle: 26 relations Sun Oct 12 13:04:55 2025 commencing cycle optimization Sun Oct 12 13:05:33 2025 start with 224128074 relations Sun Oct 12 13:10:24 2025 pruned 8813934 relations Sun Oct 12 13:10:24 2025 memory use: 6171.5 MB Sun Oct 12 13:10:25 2025 distribution of cycle lengths: Sun Oct 12 13:10:25 2025 1 relations: 1623471 Sun Oct 12 13:10:25 2025 2 relations: 1939109 Sun Oct 12 13:10:25 2025 3 relations: 2219845 Sun Oct 12 13:10:25 2025 4 relations: 2284661 Sun Oct 12 13:10:25 2025 5 relations: 2341274 Sun Oct 12 13:10:25 2025 6 relations: 2324908 Sun Oct 12 13:10:25 2025 7 relations: 2266517 Sun Oct 12 13:10:25 2025 8 relations: 2151211 Sun Oct 12 13:10:25 2025 9 relations: 1999700 Sun Oct 12 13:10:25 2025 10+ relations: 9049085 Sun Oct 12 13:10:25 2025 heaviest cycle: 26 relations Sun Oct 12 13:10:59 2025 RelProcTime: 7052 Sun Oct 12 13:10:59 2025 elapsed time 01:57:33 Sun Oct 12 13:11:01 2025 Sun Oct 12 13:11:01 2025 Sun Oct 12 13:11:01 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 12 13:11:01 2025 random seeds: fa58c2c1 cb99f30a Sun Oct 12 13:11:01 2025 MPI process 0 of 1 Sun Oct 12 13:11:01 2025 Using 46 OpenMP threads Sun Oct 12 13:11:01 2025 factoring 2721164443161022246915368083570664400251312591102368799450631265880034454290684238960448815370111040908837496819698101818193830300481865689691925346985656014891532962675273148572506620213134965899 (196 digits) Sun Oct 12 13:11:02 2025 no P-1/P+1/ECM available, skipping Sun Oct 12 13:11:02 2025 commencing number field sieve (196-digit input) Sun Oct 12 13:11:02 2025 R0: 67762635780344027125465800054371356964111328125 Sun Oct 12 13:11:02 2025 R1: -92709463147897837085761925410587 Sun Oct 12 13:11:02 2025 A0: 1 Sun Oct 12 13:11:02 2025 A1: 1 Sun Oct 12 13:11:02 2025 A2: 1 Sun Oct 12 13:11:02 2025 A3: 1 Sun Oct 12 13:11:02 2025 A4: 1 Sun Oct 12 13:11:02 2025 A5: 1 Sun Oct 12 13:11:02 2025 A6: 1 Sun Oct 12 13:11:02 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0 Sun Oct 12 13:11:02 2025 Sun Oct 12 13:11:02 2025 commencing linear algebra Sun Oct 12 13:11:02 2025 using VBITS=256 Sun Oct 12 13:11:02 2025 stopping after matrix build Sun Oct 12 13:11:02 2025 initialized process (0,0) of 1 x 1 grid Sun Oct 12 13:11:04 2025 read 28199781 cycles Sun Oct 12 13:11:41 2025 cycles contain 91778306 unique relations Sun Oct 12 13:12:31 2025 read 91778306 relations Sun Oct 12 13:12:41 2025 using 20 quadratic characters above 4294917295 Sun Oct 12 13:12:50 2025 building initial matrix Sun Oct 12 13:28:19 2025 memory use: 11696.0 MB Sun Oct 12 13:28:36 2025 read 28199781 cycles Sun Oct 12 13:28:39 2025 matrix is 28199600 x 28199781 (12375.2 MB) with weight 3513238272 (124.58/col) Sun Oct 12 13:28:39 2025 sparse part has weight 2933894892 (104.04/col) Sun Oct 12 13:33:29 2025 filtering completed in 2 passes Sun Oct 12 13:33:33 2025 matrix is 28196937 x 28197104 (12375.0 MB) with weight 3513143490 (124.59/col) Sun Oct 12 13:33:33 2025 sparse part has weight 2933853633 (104.05/col) Sun Oct 12 13:36:05 2025 BLanczosTime: 1503 Sun Oct 12 13:36:06 2025 elapsed time 00:25:05 Sun Oct 12 13:36:12 2025 Sun Oct 12 13:36:12 2025 Sun Oct 12 13:36:12 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 12 13:36:12 2025 random seeds: af182b8a eb736815 Sun Oct 12 13:36:12 2025 MPI process 0 of 4 Sun Oct 12 13:36:12 2025 Using 15 OpenMP threads Sun Oct 12 13:36:12 2025 factoring 2721164443161022246915368083570664400251312591102368799450631265880034454290684238960448815370111040908837496819698101818193830300481865689691925346985656014891532962675273148572506620213134965899 (196 digits) Sun Oct 12 13:36:13 2025 no P-1/P+1/ECM available, skipping Sun Oct 12 13:36:13 2025 commencing number field sieve (196-digit input) Sun Oct 12 13:36:13 2025 R0: 67762635780344027125465800054371356964111328125 Sun Oct 12 13:36:13 2025 R1: -92709463147897837085761925410587 Sun Oct 12 13:36:13 2025 A0: 1 Sun Oct 12 13:36:13 2025 A1: 1 Sun Oct 12 13:36:13 2025 A2: 1 Sun Oct 12 13:36:13 2025 A3: 1 Sun Oct 12 13:36:13 2025 A4: 1 Sun Oct 12 13:36:13 2025 A5: 1 Sun Oct 12 13:36:13 2025 A6: 1 Sun Oct 12 13:36:13 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0 Sun Oct 12 13:36:13 2025 Sun Oct 12 13:36:13 2025 commencing linear algebra Sun Oct 12 13:36:13 2025 using VBITS=256 Sun Oct 12 13:36:13 2025 skipping matrix build Sun Oct 12 13:36:14 2025 initialized process (0,0) of 2 x 2 grid Sun Oct 12 13:36:34 2025 matrix starts at (0, 0) Sun Oct 12 13:36:34 2025 matrix is 14098589 x 14098545 (3620.4 MB) with weight 1083633220 (76.86/col) Sun Oct 12 13:36:34 2025 sparse part has weight 793981565 (56.32/col) Sun Oct 12 13:36:34 2025 saving the first 240 matrix rows for later Sun Oct 12 13:36:37 2025 matrix includes 256 packed rows Sun Oct 12 13:36:39 2025 matrix is 14098349 x 14098545 (3241.2 MB) with weight 673489768 (47.77/col) Sun Oct 12 13:36:39 2025 sparse part has weight 624084957 (44.27/col) Sun Oct 12 13:36:39 2025 using GPU 0 (NVIDIA H200) Sun Oct 12 13:36:39 2025 selected card has CUDA arch 9.0 Sun Oct 12 13:37:19 2025 commencing Lanczos iteration Sun Oct 12 13:37:19 2025 memory use: 7450.5 MB Sun Oct 12 13:37:26 2025 linear algebra at 0.1%, ETA 1h31m Sun Oct 12 13:37:36 2025 checking every 280000 dimensions, checkpointing every 17360000 dimensions Sun Oct 12 15:15:07 2025 lanczos halted after 110476 iterations (dim = 28196695) Sun Oct 12 15:16:47 2025 recovered 40 nontrivial dependencies Sun Oct 12 15:16:48 2025 BLanczosTime: 6035 Sun Oct 12 15:16:48 2025 elapsed time 01:40:36 Sun Oct 12 16:48:35 2025 Sun Oct 12 16:48:35 2025 Sun Oct 12 16:48:35 2025 Msieve v. 1.54 (SVN Unversioned directory) Sun Oct 12 16:48:35 2025 random seeds: dbbb2922 95be6f43 Sun Oct 12 16:48:35 2025 MPI process 0 of 1 Sun Oct 12 16:48:35 2025 Using 32 OpenMP threads Sun Oct 12 16:48:35 2025 factoring 2721164443161022246915368083570664400251312591102368799450631265880034454290684238960448815370111040908837496819698101818193830300481865689691925346985656014891532962675273148572506620213134965899 (196 digits) Sun Oct 12 16:48:35 2025 no P-1/P+1/ECM available, skipping Sun Oct 12 16:48:35 2025 commencing number field sieve (196-digit input) Sun Oct 12 16:48:35 2025 R0: 67762635780344027125465800054371356964111328125 Sun Oct 12 16:48:35 2025 R1: -92709463147897837085761925410587 Sun Oct 12 16:48:35 2025 A0: 1 Sun Oct 12 16:48:35 2025 A1: 1 Sun Oct 12 16:48:35 2025 A2: 1 Sun Oct 12 16:48:35 2025 A3: 1 Sun Oct 12 16:48:35 2025 A4: 1 Sun Oct 12 16:48:35 2025 A5: 1 Sun Oct 12 16:48:35 2025 A6: 1 Sun Oct 12 16:48:35 2025 skew 1.00, size 8.102e-14, alpha 2.428, combined = 1.699e-14 rroots = 0 Sun Oct 12 16:48:35 2025 Sun Oct 12 16:48:35 2025 commencing square root phase Sun Oct 12 16:48:35 2025 reading relations for dependency 1 Sun Oct 12 16:48:38 2025 read 14097424 cycles Sun Oct 12 16:49:04 2025 cycles contain 45884012 unique relations Sun Oct 12 16:52:03 2025 read 45884012 relations Sun Oct 12 16:54:23 2025 multiplying 45884012 relations Sun Oct 12 16:56:37 2025 multiply complete, coefficients have about 1226.03 million bits Sun Oct 12 16:56:41 2025 initial square root is modulo 316067 Sun Oct 12 17:03:08 2025 sqrtTime: 873 Sun Oct 12 17:03:08 2025 p81 factor: 572344207691267815093611511378934714885696803883379591332441052016832577640294447 Sun Oct 12 17:03:08 2025 p115 factor: 4754419467504883978977243394222031935210175597661980141177163146514698811021991245384517747812725636836548294114917 Sun Oct 12 17:03:08 2025 elapsed time 00:14:33