Sun Jun 28 23:56:05 2026 Sun Jun 28 23:56:05 2026 Sun Jun 28 23:56:05 2026 Msieve v. 1.54 (SVN unknown) Sun Jun 28 23:56:05 2026 random seeds: 52ebdc8c 3dfb8e22 Sun Jun 28 23:56:05 2026 Using 8 OpenMP threads Sun Jun 28 23:56:05 2026 factoring 16595011280263171312752646825620075911042359923882968423629860138185765398175058277355995556706736668357190550660602949448966672520468055781455868752353491752158029169384784681377626412073 (188 digits) Sun Jun 28 23:56:06 2026 no P-1/P+1/ECM available, skipping Sun Jun 28 23:56:06 2026 commencing number field sieve (188-digit input) Sun Jun 28 23:56:06 2026 R0: -2470889397791666799469152978463348088 Sun Jun 28 23:56:06 2026 R1: 124033822411057866802189 Sun Jun 28 23:56:06 2026 A0: 356742716443672472136767972420670540875936760 Sun Jun 28 23:56:06 2026 A1: 260728535075783999410077121625073522 Sun Jun 28 23:56:06 2026 A2: -1728704485284696624226212465949 Sun Jun 28 23:56:06 2026 A3: 7481513286656611279483 Sun Jun 28 23:56:06 2026 A4: 293559451150104 Sun Jun 28 23:56:06 2026 A5: 1441440 Sun Jun 28 23:56:06 2026 skew 63567441.24, size 3.268e-18, alpha -8.297, combined = 3.706e-14 rroots = 3 Sun Jun 28 23:56:06 2026 Sun Jun 28 23:56:06 2026 commencing relation filtering Sun Jun 28 23:56:06 2026 setting 3 target densities:Sun Jun 28 23:56:06 2026 90Sun Jun 28 23:56:06 2026 110Sun Jun 28 23:56:06 2026 130Sun Jun 28 23:56:06 2026 Sun Jun 28 23:56:06 2026 estimated available RAM is 78540.1 MB Sun Jun 28 23:56:06 2026 commencing duplicate removal, pass 1 Sun Jun 28 23:58:09 2026 error -1 reading relation 30547533 Sun Jun 28 23:58:45 2026 error -1 reading relation 40404059 Sun Jun 28 23:58:54 2026 error -1 reading relation 43574062 Sun Jun 28 23:59:47 2026 error -15 reading relation 57767543 Sun Jun 28 23:59:47 2026 error -1 reading relation 57767544 Mon Jun 29 00:00:42 2026 error -15 reading relation 72400811 Mon Jun 29 00:01:22 2026 error -1 reading relation 84739701 Mon Jun 29 00:02:16 2026 error -1 reading relation 99694727 Mon Jun 29 00:02:43 2026 error -1 reading relation 106332794 Mon Jun 29 00:04:28 2026 error -1 reading relation 134351902 Mon Jun 29 00:04:33 2026 error -1 reading relation 135660408 Mon Jun 29 00:04:40 2026 error -1 reading relation 138181084 Mon Jun 29 00:04:43 2026 error -1 reading relation 138956241 Mon Jun 29 00:04:47 2026 error -1 reading relation 140199240 Mon Jun 29 00:06:33 2026 error -1 reading relation 169503410 Mon Jun 29 00:06:34 2026 error -1 reading relation 170471138 Mon Jun 29 00:08:16 2026 error -1 reading relation 196847775 Mon Jun 29 00:08:47 2026 error -1 reading relation 204223641 Mon Jun 29 00:08:55 2026 error -1 reading relation 206263893 Mon Jun 29 00:09:49 2026 error -1 reading relation 220368883 Mon Jun 29 00:10:56 2026 error -1 reading relation 236695286 Mon Jun 29 00:11:26 2026 error -1 reading relation 244319938 Mon Jun 29 00:11:44 2026 error -1 reading relation 249116990 Mon Jun 29 00:12:14 2026 error -1 reading relation 256581879 Mon Jun 29 00:13:00 2026 error -1 reading relation 265722804 Mon Jun 29 00:14:34 2026 error -1 reading relation 288318283 Mon Jun 29 00:15:58 2026 error -1 reading relation 309433937 Mon Jun 29 00:16:18 2026 error -1 reading relation 315184623 Mon Jun 29 00:16:20 2026 error -1 reading relation 315528287 Mon Jun 29 00:16:27 2026 error -1 reading relation 317355307 Mon Jun 29 00:16:38 2026 error -1 reading relation 320429716 Mon Jun 29 00:17:08 2026 error -1 reading relation 328556758 Mon Jun 29 00:17:12 2026 error -1 reading relation 329521740 Mon Jun 29 00:17:40 2026 error -1 reading relation 336997709 Mon Jun 29 00:17:40 2026 error -1 reading relation 337012551 Mon Jun 29 00:18:03 2026 error -1 reading relation 342962249 Mon Jun 29 00:19:01 2026 error -1 reading relation 357696075 Mon Jun 29 00:19:32 2026 error -1 reading relation 365498176 Mon Jun 29 00:19:40 2026 error -1 reading relation 368393851 Mon Jun 29 00:20:16 2026 error -1 reading relation 377902644 Mon Jun 29 00:21:00 2026 error -1 reading relation 388924143 Mon Jun 29 00:21:01 2026 error -1 reading relation 389478897 Mon Jun 29 00:21:09 2026 error -1 reading relation 391321764 Mon Jun 29 00:21:54 2026 error -1 reading relation 402492639 Mon Jun 29 00:22:04 2026 error -1 reading relation 405162208 Mon Jun 29 00:22:17 2026 error -11 reading relation 408351245 Mon Jun 29 00:22:19 2026 error -1 reading relation 408690833 Mon Jun 29 00:22:53 2026 error -1 reading relation 417949516 Mon Jun 29 00:24:22 2026 error -1 reading relation 441310354 Mon Jun 29 00:24:30 2026 error -15 reading relation 443278590 Mon Jun 29 00:24:53 2026 error -1 reading relation 449636459 Mon Jun 29 00:26:14 2026 error -1 reading relation 471809408 Mon Jun 29 00:27:02 2026 error -1 reading relation 483926813 Mon Jun 29 00:27:14 2026 error -1 reading relation 487748597 Mon Jun 29 00:27:31 2026 error -1 reading relation 491640729 Mon Jun 29 00:27:51 2026 error -1 reading relation 497689752 Mon Jun 29 00:28:13 2026 error -1 reading relation 503451944 Mon Jun 29 00:28:27 2026 error -1 reading relation 507007056 Mon Jun 29 00:29:11 2026 error -1 reading relation 518592742 Mon Jun 29 00:29:13 2026 error -1 reading relation 519512231 Mon Jun 29 00:29:13 2026 error -1 reading relation 519671244 Mon Jun 29 00:29:20 2026 error -1 reading relation 521270972 Mon Jun 29 00:29:25 2026 error -1 reading relation 522699609 Mon Jun 29 00:30:35 2026 error -1 reading relation 539882417 Mon Jun 29 00:30:45 2026 error -1 reading relation 541749855 Mon Jun 29 00:31:09 2026 error -1 reading relation 546998428 Mon Jun 29 00:31:16 2026 error -1 reading relation 548729708 Mon Jun 29 00:31:36 2026 error -1 reading relation 554345606 Mon Jun 29 00:31:39 2026 error -1 reading relation 555179086 Mon Jun 29 00:32:01 2026 error -1 reading relation 561577824 Mon Jun 29 00:32:12 2026 error -1 reading relation 564575330 Mon Jun 29 00:33:24 2026 error -1 reading relation 584278262 Mon Jun 29 00:34:04 2026 error -1 reading relation 595456929 Mon Jun 29 00:34:06 2026 error -1 reading relation 595971379 Mon Jun 29 00:34:10 2026 error -1 reading relation 597053052 Mon Jun 29 00:34:13 2026 error -1 reading relation 597847565 Mon Jun 29 00:35:18 2026 error -1 reading relation 615569050 Mon Jun 29 00:35:36 2026 error -1 reading relation 620733986 Mon Jun 29 00:35:36 2026 error -1 reading relation 620796326 Mon Jun 29 00:35:45 2026 error -1 reading relation 623319802 Mon Jun 29 00:35:47 2026 error -1 reading relation 623770308 Mon Jun 29 00:36:12 2026 error -1 reading relation 630455922 Mon Jun 29 00:36:28 2026 error -15 reading relation 634977194 Mon Jun 29 00:36:30 2026 error -1 reading relation 635471635 Mon Jun 29 00:36:32 2026 error -1 reading relation 636264017 Mon Jun 29 00:36:36 2026 error -1 reading relation 637370579 Mon Jun 29 00:36:38 2026 error -1 reading relation 637926938 Mon Jun 29 00:36:51 2026 error -1 reading relation 641188423 Mon Jun 29 00:37:05 2026 error -1 reading relation 644873524 Mon Jun 29 00:37:35 2026 skipped 3 relations with composite factors Mon Jun 29 00:37:35 2026 skipped 705 malformed relations Mon Jun 29 00:37:35 2026 found 137079049 hash collisions in 652923438 relations Mon Jun 29 00:37:52 2026 added 121599 free relations Mon Jun 29 00:37:52 2026 commencing duplicate removal, pass 2 Mon Jun 29 00:50:25 2026 found 146667523 duplicates and 506377514 unique relations Mon Jun 29 00:50:25 2026 memory use: 3411.0 MB Mon Jun 29 00:50:26 2026 reading ideals above 283574272 Mon Jun 29 00:50:26 2026 commencing singleton removal, initial pass Mon Jun 29 01:41:09 2026 memory use: 11024.0 MB Mon Jun 29 01:41:10 2026 reading all ideals from disk Mon Jun 29 01:41:37 2026 memory use: 13272.6 MB Mon Jun 29 01:42:14 2026 commencing in-memory singleton removal Mon Jun 29 01:42:21 2026 begin with 506377514 relations and 446331919 unique ideals Mon Jun 29 01:43:26 2026 reduce to 308793859 relations and 227624399 ideals in 15 passes Mon Jun 29 01:43:26 2026 max relations containing the same ideal: 32 Mon Jun 29 01:43:36 2026 reading ideals above 720000 Mon Jun 29 01:43:37 2026 commencing singleton removal, initial pass Mon Jun 29 02:35:12 2026 memory use: 6024.0 MB Mon Jun 29 02:35:13 2026 reading all ideals from disk Mon Jun 29 02:35:59 2026 memory use: 15361.3 MB Mon Jun 29 02:36:37 2026 keeping 256872799 ideals with weight <= 200, target excess is 1572208 Mon Jun 29 02:37:21 2026 commencing in-memory singleton removal Mon Jun 29 02:37:28 2026 begin with 308793859 relations and 256872799 unique ideals Mon Jun 29 02:38:23 2026 reduce to 308787153 relations and 256866093 ideals in 9 passes Mon Jun 29 02:38:23 2026 max relations containing the same ideal: 200 Mon Jun 29 02:41:14 2026 removing 14562597 relations and 12562597 ideals in 2000000 cliques Mon Jun 29 02:41:23 2026 commencing in-memory singleton removal Mon Jun 29 02:41:30 2026 begin with 294224556 relations and 256866093 unique ideals Mon Jun 29 02:42:22 2026 reduce to 293705910 relations and 243780270 ideals in 9 passes Mon Jun 29 02:42:22 2026 max relations containing the same ideal: 200 Mon Jun 29 02:44:48 2026 removing 10979251 relations and 8979251 ideals in 2000000 cliques Mon Jun 29 02:44:54 2026 commencing in-memory singleton removal Mon Jun 29 02:45:01 2026 begin with 282726659 relations and 243780270 unique ideals Mon Jun 29 02:45:45 2026 reduce to 282400392 relations and 234472223 ideals in 8 passes Mon Jun 29 02:45:45 2026 max relations containing the same ideal: 197 Mon Jun 29 02:48:10 2026 removing 9851545 relations and 7851545 ideals in 2000000 cliques Mon Jun 29 02:48:17 2026 commencing in-memory singleton removal Mon Jun 29 02:48:23 2026 begin with 272548847 relations and 234472223 unique ideals Mon Jun 29 02:49:01 2026 reduce to 272269234 relations and 226338994 ideals in 7 passes Mon Jun 29 02:49:01 2026 max relations containing the same ideal: 193 Mon Jun 29 02:51:20 2026 removing 9224171 relations and 7224171 ideals in 2000000 cliques Mon Jun 29 02:51:26 2026 commencing in-memory singleton removal Mon Jun 29 02:51:32 2026 begin with 263045063 relations and 226338994 unique ideals Mon Jun 29 02:52:14 2026 reduce to 262788647 relations and 218856554 ideals in 8 passes Mon Jun 29 02:52:14 2026 max relations containing the same ideal: 190 Mon Jun 29 02:54:28 2026 removing 8808761 relations and 6808761 ideals in 2000000 cliques Mon Jun 29 02:54:34 2026 commencing in-memory singleton removal Mon Jun 29 02:54:40 2026 begin with 253979886 relations and 218856554 unique ideals Mon Jun 29 02:55:19 2026 reduce to 253736194 relations and 211802336 ideals in 8 passes Mon Jun 29 02:55:19 2026 max relations containing the same ideal: 188 Mon Jun 29 02:57:31 2026 removing 8512328 relations and 6512328 ideals in 2000000 cliques Mon Jun 29 02:57:37 2026 commencing in-memory singleton removal Mon Jun 29 02:57:43 2026 begin with 245223866 relations and 211802336 unique ideals Mon Jun 29 02:58:12 2026 reduce to 244988298 relations and 205052687 ideals in 6 passes Mon Jun 29 02:58:12 2026 max relations containing the same ideal: 182 Mon Jun 29 03:00:20 2026 removing 8289369 relations and 6289369 ideals in 2000000 cliques Mon Jun 29 03:00:26 2026 commencing in-memory singleton removal Mon Jun 29 03:00:31 2026 begin with 236698929 relations and 205052687 unique ideals Mon Jun 29 03:01:03 2026 reduce to 236467904 relations and 198530527 ideals in 7 passes Mon Jun 29 03:01:03 2026 max relations containing the same ideal: 179 Mon Jun 29 03:03:10 2026 removing 8120575 relations and 6120575 ideals in 2000000 cliques Mon Jun 29 03:03:15 2026 commencing in-memory singleton removal Mon Jun 29 03:03:21 2026 begin with 228347329 relations and 198530527 unique ideals Mon Jun 29 03:03:52 2026 reduce to 228117705 relations and 192178501 ideals in 7 passes Mon Jun 29 03:03:52 2026 max relations containing the same ideal: 176 Mon Jun 29 03:05:54 2026 removing 7995716 relations and 5995716 ideals in 2000000 cliques Mon Jun 29 03:05:59 2026 commencing in-memory singleton removal Mon Jun 29 03:06:04 2026 begin with 220121989 relations and 192178501 unique ideals Mon Jun 29 03:06:35 2026 reduce to 219892295 relations and 185951218 ideals in 7 passes Mon Jun 29 03:06:35 2026 max relations containing the same ideal: 172 Mon Jun 29 03:08:38 2026 removing 7893711 relations and 5893711 ideals in 2000000 cliques Mon Jun 29 03:08:43 2026 commencing in-memory singleton removal Mon Jun 29 03:08:48 2026 begin with 211998584 relations and 185951218 unique ideals Mon Jun 29 03:09:17 2026 reduce to 211765493 relations and 179822485 ideals in 7 passes Mon Jun 29 03:09:17 2026 max relations containing the same ideal: 167 Mon Jun 29 03:11:16 2026 removing 7811461 relations and 5811461 ideals in 2000000 cliques Mon Jun 29 03:11:22 2026 commencing in-memory singleton removal Mon Jun 29 03:11:27 2026 begin with 203954032 relations and 179822485 unique ideals Mon Jun 29 03:11:56 2026 reduce to 203717511 relations and 173772438 ideals in 7 passes Mon Jun 29 03:11:57 2026 max relations containing the same ideal: 164 Mon Jun 29 03:13:48 2026 removing 7754374 relations and 5754374 ideals in 2000000 cliques Mon Jun 29 03:13:53 2026 commencing in-memory singleton removal Mon Jun 29 03:13:57 2026 begin with 195963137 relations and 173772438 unique ideals Mon Jun 29 03:14:28 2026 reduce to 195721654 relations and 167774373 ideals in 7 passes Mon Jun 29 03:14:28 2026 max relations containing the same ideal: 159 Mon Jun 29 03:16:16 2026 removing 7712552 relations and 5712552 ideals in 2000000 cliques Mon Jun 29 03:16:20 2026 commencing in-memory singleton removal Mon Jun 29 03:16:24 2026 begin with 188009102 relations and 167774373 unique ideals Mon Jun 29 03:16:48 2026 reduce to 187761104 relations and 161811478 ideals in 7 passes Mon Jun 29 03:16:48 2026 max relations containing the same ideal: 155 Mon Jun 29 03:18:29 2026 removing 7687483 relations and 5687483 ideals in 2000000 cliques Mon Jun 29 03:18:33 2026 commencing in-memory singleton removal Mon Jun 29 03:18:37 2026 begin with 180073621 relations and 161811478 unique ideals Mon Jun 29 03:19:02 2026 reduce to 179816526 relations and 155864422 ideals in 7 passes Mon Jun 29 03:19:02 2026 max relations containing the same ideal: 149 Mon Jun 29 03:20:40 2026 removing 7673869 relations and 5673869 ideals in 2000000 cliques Mon Jun 29 03:20:44 2026 commencing in-memory singleton removal Mon Jun 29 03:20:48 2026 begin with 172142657 relations and 155864422 unique ideals Mon Jun 29 03:21:15 2026 reduce to 171876158 relations and 149921379 ideals in 8 passes Mon Jun 29 03:21:15 2026 max relations containing the same ideal: 146 Mon Jun 29 03:22:50 2026 removing 7672527 relations and 5672527 ideals in 2000000 cliques Mon Jun 29 03:22:55 2026 commencing in-memory singleton removal Mon Jun 29 03:22:58 2026 begin with 164203631 relations and 149921379 unique ideals Mon Jun 29 03:23:19 2026 reduce to 163926867 relations and 143969237 ideals in 7 passes Mon Jun 29 03:23:19 2026 max relations containing the same ideal: 141 Mon Jun 29 03:24:47 2026 removing 7688302 relations and 5688302 ideals in 2000000 cliques Mon Jun 29 03:24:51 2026 commencing in-memory singleton removal Mon Jun 29 03:24:54 2026 begin with 156238565 relations and 143969237 unique ideals Mon Jun 29 03:25:15 2026 reduce to 155947414 relations and 137986580 ideals in 7 passes Mon Jun 29 03:25:15 2026 max relations containing the same ideal: 135 Mon Jun 29 03:26:40 2026 removing 7711016 relations and 5711016 ideals in 2000000 cliques Mon Jun 29 03:26:44 2026 commencing in-memory singleton removal Mon Jun 29 03:26:47 2026 begin with 148236398 relations and 137986580 unique ideals Mon Jun 29 03:27:06 2026 reduce to 147929445 relations and 131965123 ideals in 7 passes Mon Jun 29 03:27:06 2026 max relations containing the same ideal: 132 Mon Jun 29 03:28:26 2026 removing 7748602 relations and 5748602 ideals in 2000000 cliques Mon Jun 29 03:28:30 2026 commencing in-memory singleton removal Mon Jun 29 03:28:32 2026 begin with 140180843 relations and 131965123 unique ideals Mon Jun 29 03:28:51 2026 reduce to 139853097 relations and 125884857 ideals in 7 passes Mon Jun 29 03:28:51 2026 max relations containing the same ideal: 128 Mon Jun 29 03:30:08 2026 removing 7800264 relations and 5800264 ideals in 2000000 cliques Mon Jun 29 03:30:11 2026 commencing in-memory singleton removal Mon Jun 29 03:30:14 2026 begin with 132052833 relations and 125884857 unique ideals Mon Jun 29 03:30:31 2026 reduce to 131700958 relations and 119728224 ideals in 7 passes Mon Jun 29 03:30:31 2026 max relations containing the same ideal: 121 Mon Jun 29 03:31:46 2026 removing 7863157 relations and 5863157 ideals in 2000000 cliques Mon Jun 29 03:31:50 2026 commencing in-memory singleton removal Mon Jun 29 03:31:53 2026 begin with 123837801 relations and 119728224 unique ideals Mon Jun 29 03:32:09 2026 reduce to 123458322 relations and 113480662 ideals in 7 passes Mon Jun 29 03:32:09 2026 max relations containing the same ideal: 116 Mon Jun 29 03:33:20 2026 removing 7951309 relations and 5951309 ideals in 2000000 cliques Mon Jun 29 03:33:23 2026 commencing in-memory singleton removal Mon Jun 29 03:33:26 2026 begin with 115507013 relations and 113480662 unique ideals Mon Jun 29 03:33:46 2026 reduce to 115088960 relations and 107105487 ideals in 9 passes Mon Jun 29 03:33:46 2026 max relations containing the same ideal: 110 Mon Jun 29 03:34:52 2026 removing 8055306 relations and 6055306 ideals in 2000000 cliques Mon Jun 29 03:34:55 2026 commencing in-memory singleton removal Mon Jun 29 03:34:57 2026 begin with 107033654 relations and 107105487 unique ideals Mon Jun 29 03:35:16 2026 reduce to 106574021 relations and 100583672 ideals in 9 passes Mon Jun 29 03:35:16 2026 max relations containing the same ideal: 106 Mon Jun 29 03:36:15 2026 removing 8191362 relations and 6191362 ideals in 2000000 cliques Mon Jun 29 03:36:19 2026 commencing in-memory singleton removal Mon Jun 29 03:36:21 2026 begin with 98382659 relations and 100583672 unique ideals Mon Jun 29 03:36:35 2026 reduce to 97868086 relations and 93869578 ideals in 8 passes Mon Jun 29 03:36:35 2026 max relations containing the same ideal: 100 Mon Jun 29 03:37:33 2026 removing 8351307 relations and 6351307 ideals in 2000000 cliques Mon Jun 29 03:37:36 2026 commencing in-memory singleton removal Mon Jun 29 03:37:38 2026 begin with 89516779 relations and 93869578 unique ideals Mon Jun 29 03:37:51 2026 reduce to 88927146 relations and 86918545 ideals in 8 passes Mon Jun 29 03:37:51 2026 max relations containing the same ideal: 95 Mon Jun 29 03:38:44 2026 removing 1202137 relations and 1017298 ideals in 184839 cliques Mon Jun 29 03:38:46 2026 commencing in-memory singleton removal Mon Jun 29 03:38:48 2026 begin with 87725009 relations and 86918545 unique ideals Mon Jun 29 03:38:58 2026 reduce to 87713916 relations and 85890142 ideals in 6 passes Mon Jun 29 03:38:58 2026 max relations containing the same ideal: 92 Mon Jun 29 03:39:01 2026 trying target density 90 Mon Jun 29 03:39:12 2026 relations with 0 large ideals: 5700 Mon Jun 29 03:39:12 2026 relations with 1 large ideals: 21650 Mon Jun 29 03:39:12 2026 relations with 2 large ideals: 338315 Mon Jun 29 03:39:12 2026 relations with 3 large ideals: 2276138 Mon Jun 29 03:39:12 2026 relations with 4 large ideals: 8266829 Mon Jun 29 03:39:12 2026 relations with 5 large ideals: 17856439 Mon Jun 29 03:39:12 2026 relations with 6 large ideals: 24060977 Mon Jun 29 03:39:12 2026 relations with 7+ large ideals: 34887868 Mon Jun 29 03:39:12 2026 commencing 2-way merge Mon Jun 29 03:40:24 2026 reduce to 54114101 relation sets and 52290327 unique ideals Mon Jun 29 03:40:24 2026 commencing full merge Mon Jun 29 04:02:04 2026 memory use: 6187.9 MB Mon Jun 29 04:02:16 2026 found 26885765 cycles, need 26638527 Mon Jun 29 04:02:29 2026 weight of 26638527 cycles is about 2397644728 (90.01/cycle) Mon Jun 29 04:02:29 2026 distribution of cycle lengths: Mon Jun 29 04:02:29 2026 1 relations: 2819054 Mon Jun 29 04:02:29 2026 2 relations: 2569379 Mon Jun 29 04:02:29 2026 3 relations: 2621220 Mon Jun 29 04:02:29 2026 4 relations: 2570451 Mon Jun 29 04:02:29 2026 5 relations: 2472156 Mon Jun 29 04:02:29 2026 6 relations: 2331708 Mon Jun 29 04:02:29 2026 7 relations: 2130309 Mon Jun 29 04:02:29 2026 8 relations: 1906381 Mon Jun 29 04:02:29 2026 9 relations: 1644646 Mon Jun 29 04:02:29 2026 10+ relations: 5573223 Mon Jun 29 04:02:29 2026 heaviest cycle: 21 relations Mon Jun 29 04:02:38 2026 commencing cycle optimization Mon Jun 29 04:03:45 2026 start with 166450060 relations Mon Jun 29 04:09:51 2026 pruned 4720070 relations Mon Jun 29 04:09:55 2026 memory use: 5299.4 MB Mon Jun 29 04:09:55 2026 distribution of cycle lengths: Mon Jun 29 04:09:55 2026 1 relations: 2819054 Mon Jun 29 04:09:55 2026 2 relations: 2631064 Mon Jun 29 04:09:55 2026 3 relations: 2717328 Mon Jun 29 04:09:55 2026 4 relations: 2645618 Mon Jun 29 04:09:55 2026 5 relations: 2554529 Mon Jun 29 04:09:55 2026 6 relations: 2391372 Mon Jun 29 04:09:55 2026 7 relations: 2185382 Mon Jun 29 04:09:55 2026 8 relations: 1933920 Mon Jun 29 04:09:55 2026 9 relations: 1653318 Mon Jun 29 04:09:55 2026 10+ relations: 5106942 Mon Jun 29 04:09:55 2026 heaviest cycle: 21 relations Mon Jun 29 04:11:11 2026 trying target density 110 Mon Jun 29 04:11:21 2026 relations with 0 large ideals: 5700 Mon Jun 29 04:11:21 2026 relations with 1 large ideals: 21650 Mon Jun 29 04:11:21 2026 relations with 2 large ideals: 338315 Mon Jun 29 04:11:21 2026 relations with 3 large ideals: 2276138 Mon Jun 29 04:11:21 2026 relations with 4 large ideals: 8266829 Mon Jun 29 04:11:21 2026 relations with 5 large ideals: 17856439 Mon Jun 29 04:11:21 2026 relations with 6 large ideals: 24060977 Mon Jun 29 04:11:21 2026 relations with 7+ large ideals: 34887868 Mon Jun 29 04:11:21 2026 commencing 2-way merge Mon Jun 29 04:12:28 2026 reduce to 54114101 relation sets and 52290327 unique ideals Mon Jun 29 04:12:28 2026 commencing full merge Mon Jun 29 04:38:19 2026 memory use: 6364.3 MB Mon Jun 29 04:38:29 2026 found 25037346 cycles, need 24832527 Mon Jun 29 04:38:39 2026 weight of 24832527 cycles is about 2732173974 (110.02/cycle) Mon Jun 29 04:38:39 2026 distribution of cycle lengths: Mon Jun 29 04:38:39 2026 1 relations: 2077039 Mon Jun 29 04:38:39 2026 2 relations: 1959505 Mon Jun 29 04:38:40 2026 3 relations: 2006437 Mon Jun 29 04:38:40 2026 4 relations: 1951969 Mon Jun 29 04:38:40 2026 5 relations: 1934094 Mon Jun 29 04:38:40 2026 6 relations: 1873334 Mon Jun 29 04:38:40 2026 7 relations: 1811904 Mon Jun 29 04:38:40 2026 8 relations: 1697107 Mon Jun 29 04:38:40 2026 9 relations: 1559782 Mon Jun 29 04:38:40 2026 10+ relations: 7961356 Mon Jun 29 04:38:40 2026 heaviest cycle: 26 relations Mon Jun 29 04:38:47 2026 commencing cycle optimization Mon Jun 29 04:40:03 2026 start with 189025107 relations Mon Jun 29 04:49:03 2026 pruned 6758861 relations Mon Jun 29 04:49:06 2026 memory use: 5530.6 MB Mon Jun 29 04:49:07 2026 distribution of cycle lengths: Mon Jun 29 04:49:07 2026 1 relations: 2077039 Mon Jun 29 04:49:07 2026 2 relations: 2008311 Mon Jun 29 04:49:07 2026 3 relations: 2083206 Mon Jun 29 04:49:07 2026 4 relations: 2018566 Mon Jun 29 04:49:07 2026 5 relations: 2011896 Mon Jun 29 04:49:07 2026 6 relations: 1941797 Mon Jun 29 04:49:07 2026 7 relations: 1879532 Mon Jun 29 04:49:07 2026 8 relations: 1752222 Mon Jun 29 04:49:07 2026 9 relations: 1604510 Mon Jun 29 04:49:07 2026 10+ relations: 7455448 Mon Jun 29 04:49:07 2026 heaviest cycle: 26 relations Mon Jun 29 04:50:22 2026 trying target density 130 Mon Jun 29 04:50:33 2026 relations with 0 large ideals: 5700 Mon Jun 29 04:50:33 2026 relations with 1 large ideals: 21650 Mon Jun 29 04:50:33 2026 relations with 2 large ideals: 338315 Mon Jun 29 04:50:33 2026 relations with 3 large ideals: 2276138 Mon Jun 29 04:50:33 2026 relations with 4 large ideals: 8266829 Mon Jun 29 04:50:33 2026 relations with 5 large ideals: 17856439 Mon Jun 29 04:50:33 2026 relations with 6 large ideals: 24060977 Mon Jun 29 04:50:33 2026 relations with 7+ large ideals: 34887868 Mon Jun 29 04:50:33 2026 commencing 2-way merge Mon Jun 29 04:51:45 2026 reduce to 54114101 relation sets and 52290327 unique ideals Mon Jun 29 04:51:45 2026 commencing full merge Mon Jun 29 05:23:35 2026 memory use: 6475.5 MB Mon Jun 29 05:23:49 2026 found 23577908 cycles, need 23526527 Mon Jun 29 05:23:57 2026 weight of 23526527 cycles is about 3058639303 (130.01/cycle) Mon Jun 29 05:23:57 2026 distribution of cycle lengths: Mon Jun 29 05:23:57 2026 1 relations: 1554807 Mon Jun 29 05:23:57 2026 2 relations: 1561719 Mon Jun 29 05:23:57 2026 3 relations: 1611139 Mon Jun 29 05:23:57 2026 4 relations: 1579131 Mon Jun 29 05:23:57 2026 5 relations: 1590947 Mon Jun 29 05:23:57 2026 6 relations: 1549120 Mon Jun 29 05:23:57 2026 7 relations: 1539046 Mon Jun 29 05:23:57 2026 8 relations: 1464096 Mon Jun 29 05:23:57 2026 9 relations: 1409259 Mon Jun 29 05:23:57 2026 10+ relations: 9667263 Mon Jun 29 05:23:57 2026 heaviest cycle: 28 relations Mon Jun 29 05:24:05 2026 commencing cycle optimization Mon Jun 29 05:25:27 2026 start with 210774856 relations Mon Jun 29 05:37:23 2026 pruned 8889645 relations Mon Jun 29 05:37:23 2026 memory use: 5751.3 MB Mon Jun 29 05:37:23 2026 distribution of cycle lengths: Mon Jun 29 05:37:23 2026 1 relations: 1554807 Mon Jun 29 05:37:23 2026 2 relations: 1601290 Mon Jun 29 05:37:23 2026 3 relations: 1673867 Mon Jun 29 05:37:23 2026 4 relations: 1638162 Mon Jun 29 05:37:23 2026 5 relations: 1660356 Mon Jun 29 05:37:23 2026 6 relations: 1616355 Mon Jun 29 05:37:23 2026 7 relations: 1607311 Mon Jun 29 05:37:23 2026 8 relations: 1528570 Mon Jun 29 05:37:23 2026 9 relations: 1469077 Mon Jun 29 05:37:23 2026 10+ relations: 9176732 Mon Jun 29 05:37:23 2026 heaviest cycle: 28 relations Mon Jun 29 05:38:36 2026 RelProcTime: 20550 Mon Jun 29 05:38:36 2026 Mon Jun 29 05:38:36 2026 commencing linear algebra Mon Jun 29 05:38:36 2026 using VBITS=256 Mon Jun 29 05:38:36 2026 building matrices for all densities Mon Jun 29 05:38:36 2026 found 3 density files Mon Jun 29 05:38:36 2026 building matrix for density 90 Mon Jun 29 05:38:38 2026 read 26638527 cycles Mon Jun 29 05:39:29 2026 cycles contain 86634210 unique relations Mon Jun 29 05:49:00 2026 read 86634210 relations Mon Jun 29 05:49:47 2026 using 20 quadratic characters above 4294917295 Mon Jun 29 05:50:42 2026 building initial matrix Mon Jun 29 06:11:48 2026 memory use: 12277.1 MB Mon Jun 29 06:12:05 2026 read 26638527 cycles Mon Jun 29 06:12:09 2026 matrix is 26638350 x 26638527 (9965.4 MB) with weight 3104710377 (116.55/col) Mon Jun 29 06:12:09 2026 sparse part has weight 2292715353 (86.07/col) Mon Jun 29 06:17:54 2026 filtering completed in 2 passes Mon Jun 29 06:18:00 2026 matrix is 26632895 x 26633072 (9965.0 MB) with weight 3104499666 (116.57/col) Mon Jun 29 06:18:00 2026 sparse part has weight 2292671543 (86.08/col) Mon Jun 29 06:19:13 2026 building matrix for density 110 Mon Jun 29 06:19:17 2026 read 24832527 cycles Mon Jun 29 06:20:11 2026 cycles contain 86652011 unique relations Mon Jun 29 06:26:22 2026 read 86652011 relations Mon Jun 29 06:27:07 2026 using 20 quadratic characters above 4294917295 Mon Jun 29 06:27:59 2026 building initial matrix Mon Jun 29 06:52:01 2026 memory use: 12302.4 MB Mon Jun 29 06:52:18 2026 read 24832527 cycles Mon Jun 29 06:52:21 2026 matrix is 24832349 x 24832527 (10953.8 MB) with weight 3376497224 (135.97/col) Mon Jun 29 06:52:21 2026 sparse part has weight 2573487218 (103.63/col) Mon Jun 29 06:57:30 2026 filtering completed in 2 passes Mon Jun 29 06:57:37 2026 matrix is 24830032 x 24830210 (10953.6 MB) with weight 3376393700 (135.98/col) Mon Jun 29 06:57:37 2026 sparse part has weight 2573461942 (103.64/col) Mon Jun 29 06:59:10 2026 building matrix for density 130 Mon Jun 29 06:59:14 2026 read 23526527 cycles Mon Jun 29 07:00:06 2026 cycles contain 86646603 unique relations Mon Jun 29 07:08:27 2026 read 86646603 relations Mon Jun 29 07:09:17 2026 using 20 quadratic characters above 4294917295 Mon Jun 29 07:10:11 2026 building initial matrix Mon Jun 29 07:36:58 2026 memory use: 12336.9 MB Mon Jun 29 07:37:48 2026 read 23526527 cycles Mon Jun 29 07:37:52 2026 matrix is 23526350 x 23526527 (11922.9 MB) with weight 3640630422 (154.75/col) Mon Jun 29 07:37:52 2026 sparse part has weight 2843205155 (120.85/col) Mon Jun 29 07:43:09 2026 filtering completed in 2 passes Mon Jun 29 07:43:15 2026 matrix is 23525923 x 23526100 (11922.9 MB) with weight 3640610324 (154.75/col) Mon Jun 29 07:43:15 2026 sparse part has weight 2843200735 (120.85/col) Mon Jun 29 07:44:01 2026 BLanczosTime: 7525 Mon Jun 29 07:44:01 2026 elapsed time 07:47:56 Mon Jun 29 15:24:34 2026 Mon Jun 29 15:24:34 2026 Mon Jun 29 15:24:34 2026 Msieve v. 1.54 (SVN unknown) Mon Jun 29 15:24:34 2026 random seeds: d1b25088 ca057ff1 Mon Jun 29 15:24:34 2026 Using 8 OpenMP threads Mon Jun 29 15:24:34 2026 factoring 16595011280263171312752646825620075911042359923882968423629860138185765398175058277355995556706736668357190550660602949448966672520468055781455868752353491752158029169384784681377626412073 (188 digits) Mon Jun 29 15:24:35 2026 no P-1/P+1/ECM available, skipping Mon Jun 29 15:24:35 2026 commencing number field sieve (188-digit input) Mon Jun 29 15:24:35 2026 R0: -2470889397791666799469152978463348088 Mon Jun 29 15:24:35 2026 R1: 124033822411057866802189 Mon Jun 29 15:24:35 2026 A0: 356742716443672472136767972420670540875936760 Mon Jun 29 15:24:35 2026 A1: 260728535075783999410077121625073522 Mon Jun 29 15:24:35 2026 A2: -1728704485284696624226212465949 Mon Jun 29 15:24:35 2026 A3: 7481513286656611279483 Mon Jun 29 15:24:35 2026 A4: 293559451150104 Mon Jun 29 15:24:35 2026 A5: 1441440 Mon Jun 29 15:24:35 2026 skew 63567441.24, size 3.268e-18, alpha -8.297, combined = 3.706e-14 rroots = 3 Mon Jun 29 15:24:35 2026 Mon Jun 29 15:24:35 2026 commencing linear algebra Mon Jun 29 15:24:35 2026 using VBITS=256 Mon Jun 29 15:24:35 2026 skipping matrix build Mon Jun 29 15:24:43 2026 matrix starts at (0, 0) Mon Jun 29 15:24:47 2026 matrix is 23525923 x 23526100 (11922.9 MB) with weight 3640610324 (154.75/col) Mon Jun 29 15:24:47 2026 sparse part has weight 2843200735 (120.85/col) Mon Jun 29 15:24:47 2026 saving the first 240 matrix rows for later Mon Jun 29 15:24:55 2026 matrix includes 256 packed rows Mon Jun 29 15:25:05 2026 matrix is 23525683 x 23526100 (10855.4 MB) with weight 2619767893 (111.36/col) Mon Jun 29 15:25:05 2026 sparse part has weight 2469272459 (104.96/col) Mon Jun 29 15:25:06 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Mon Jun 29 15:25:06 2026 selected card has CUDA arch 12.0 Mon Jun 29 15:25:10 2026 computed block_nnz 165086000 (L2 cache 100663296 bytes, average column weight 105.0) Mon Jun 29 15:25:10 2026 nonzeros per matrix block: 256000000 Mon Jun 29 15:34:10 2026 commencing Lanczos iteration Mon Jun 29 15:34:12 2026 memory use: 26377.6 MB Mon Jun 29 15:34:36 2026 linear algebra at 0.1%, ETA 4h54m Mon Jun 29 15:35:11 2026 checking every 70000 dimensions, checkpointing every 4830000 dimensions Mon Jun 29 20:34:16 2026 lanczos halted after 92174 iterations (dim = 23525681) Mon Jun 29 20:36:31 2026 recovered 30 nontrivial dependencies Mon Jun 29 20:36:32 2026 BLanczosTime: 18717 Mon Jun 29 20:36:32 2026 elapsed time 05:11:58 Mon Jun 29 16:51:43 2026 Mon Jun 29 16:51:43 2026 Mon Jun 29 16:51:43 2026 Msieve v. 1.54 (SVN unknown) Mon Jun 29 16:51:43 2026 random seeds: 88a54371 d580aa2a Mon Jun 29 16:51:43 2026 Using 8 OpenMP threads Mon Jun 29 16:51:43 2026 factoring 16595011280263171312752646825620075911042359923882968423629860138185765398175058277355995556706736668357190550660602949448966672520468055781455868752353491752158029169384784681377626412073 (188 digits) Mon Jun 29 16:51:43 2026 no P-1/P+1/ECM available, skipping Mon Jun 29 16:51:43 2026 commencing number field sieve (188-digit input) Mon Jun 29 16:51:43 2026 R0: -2470889397791666799469152978463348088 Mon Jun 29 16:51:43 2026 R1: 124033822411057866802189 Mon Jun 29 16:51:43 2026 A0: 356742716443672472136767972420670540875936760 Mon Jun 29 16:51:43 2026 A1: 260728535075783999410077121625073522 Mon Jun 29 16:51:43 2026 A2: -1728704485284696624226212465949 Mon Jun 29 16:51:43 2026 A3: 7481513286656611279483 Mon Jun 29 16:51:43 2026 A4: 293559451150104 Mon Jun 29 16:51:43 2026 A5: 1441440 Mon Jun 29 16:51:43 2026 skew 63567441.24, size 3.268e-18, alpha -8.297, combined = 3.706e-14 rroots = 3 Mon Jun 29 16:51:43 2026 Mon Jun 29 16:51:43 2026 commencing square root phase Mon Jun 29 16:51:43 2026 reading relations for dependency 1 Mon Jun 29 16:51:51 2026 read 11760407 cycles Mon Jun 29 16:52:16 2026 cycles contain 43314614 unique relations Mon Jun 29 17:02:14 2026 read 43314614 relations Mon Jun 29 17:05:04 2026 multiplying 43314614 relations Mon Jun 29 17:11:00 2026 multiply complete, coefficients have about 2612.19 million bits Mon Jun 29 17:11:03 2026 initial square root is modulo 722431 Mon Jun 29 17:22:12 2026 GCD is 1, no factor found Mon Jun 29 17:22:12 2026 reading relations for dependency 2 Mon Jun 29 17:22:20 2026 read 11764559 cycles Mon Jun 29 17:22:40 2026 cycles contain 43328960 unique relations Mon Jun 29 17:30:15 2026 read 43328960 relations Mon Jun 29 17:32:50 2026 multiplying 43328960 relations Mon Jun 29 17:38:55 2026 multiply complete, coefficients have about 2613.07 million bits Mon Jun 29 17:39:01 2026 initial square root is modulo 725897 Mon Jun 29 17:50:31 2026 sqrtTime: 3528 Mon Jun 29 17:50:31 2026 p85 factor: 2440636539449217384988554478426755758728448626496723553366100049401809464603726950849 Mon Jun 29 17:50:31 2026 p103 factor: 6799460309648644301116404753431380760924872919314036847938467270665816539891295292334151384243138358377 Mon Jun 29 17:50:31 2026 elapsed time 00:58:48