Wed Jun 25 18:03:55 2025 Wed Jun 25 18:03:55 2025 Wed Jun 25 18:03:55 2025 Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 25 18:03:55 2025 random seeds: 05b846d4 7945af4a Wed Jun 25 18:03:55 2025 MPI process 0 of 1 Wed Jun 25 18:03:55 2025 Using 64 OpenMP threads Wed Jun 25 18:03:55 2025 factoring 8148091773035763657609367183167507000250813751491659185486536323964358348659402538274808828708620122548076203343890750781082280130294866646260438340888239361095503791524447989010352442776446661269157507898577340056516560250243763522439076454506209968866543213573976534136445194897849138298541136316621017694500630820639 (319 digits) Wed Jun 25 18:03:56 2025 no P-1/P+1/ECM available, skipping Wed Jun 25 18:03:56 2025 commencing number field sieve (319-digit input) Wed Jun 25 18:03:56 2025 R0: -15624722518287446627037310616316692383878522699200314331 Wed Jun 25 18:03:56 2025 R1: 1 Wed Jun 25 18:03:56 2025 A0: -11 Wed Jun 25 18:03:56 2025 A1: 0 Wed Jun 25 18:03:56 2025 A2: 0 Wed Jun 25 18:03:56 2025 A3: 0 Wed Jun 25 18:03:56 2025 A4: 0 Wed Jun 25 18:03:56 2025 A5: 0 Wed Jun 25 18:03:56 2025 A6: 1 Wed Jun 25 18:03:56 2025 skew 1.98, size 4.050e-16, alpha 1.143, combined = 2.486e-16 rroots = 2 Wed Jun 25 18:03:56 2025 Wed Jun 25 18:03:56 2025 commencing relation filtering Wed Jun 25 18:03:56 2025 setting target matrix density to 90.0 Wed Jun 25 18:03:56 2025 estimated available RAM is 1031760.2 MB Wed Jun 25 18:03:56 2025 commencing duplicate removal, pass 1 Wed Jun 25 18:20:39 2025 skipped 1894980 relations with b > 2^32 Wed Jun 25 18:20:39 2025 skipped 8 relations with composite factors Wed Jun 25 18:20:39 2025 skipped 15351 malformed relations Wed Jun 25 18:20:39 2025 found 125458749 hash collisions in 2163247429 relations Wed Jun 25 18:20:47 2025 added 1218832 free relations Wed Jun 25 18:20:47 2025 commencing duplicate removal, pass 2 Wed Jun 25 18:28:38 2025 found 110 duplicates and 2164466151 unique relations Wed Jun 25 18:28:38 2025 memory use: 6822.0 MB Wed Jun 25 18:28:38 2025 reading ideals above 720000 Wed Jun 25 18:28:38 2025 commencing singleton removal, initial pass Wed Jun 25 22:23:40 2025 memory use: 41024.0 MB Wed Jun 25 22:23:41 2025 reading all ideals from disk Wed Jun 25 22:24:22 2025 memory use: 119714.5 MB Wed Jun 25 22:27:11 2025 keeping 2260539228 ideals with weight <= 200, target excess is 12787218 Wed Jun 25 22:31:14 2025 commencing in-memory singleton removal Wed Jun 25 22:31:20 2025 begin with 2164466151 relations and 2260539228 unique ideals Wed Jun 25 22:32:41 2025 reduce to 994722934 relations and 917776113 ideals in 24 passes Wed Jun 25 22:32:41 2025 max relations containing the same ideal: 128 Wed Jun 25 22:35:58 2025 removing 31283262 relations and 29283262 ideals in 2000000 cliques Wed Jun 25 22:36:19 2025 commencing in-memory singleton removal Wed Jun 25 22:36:21 2025 begin with 963439672 relations and 917776113 unique ideals Wed Jun 25 22:36:43 2025 reduce to 962570087 relations and 887619947 ideals in 12 passes Wed Jun 25 22:36:43 2025 max relations containing the same ideal: 126 Wed Jun 25 22:39:49 2025 removing 22576292 relations and 20576292 ideals in 2000000 cliques Wed Jun 25 22:40:07 2025 commencing in-memory singleton removal Wed Jun 25 22:40:09 2025 begin with 939993795 relations and 887619947 unique ideals Wed Jun 25 22:40:28 2025 reduce to 939522215 relations and 866570633 ideals in 11 passes Wed Jun 25 22:40:28 2025 max relations containing the same ideal: 123 Wed Jun 25 22:43:24 2025 removing 19765789 relations and 17765789 ideals in 2000000 cliques Wed Jun 25 22:43:41 2025 commencing in-memory singleton removal Wed Jun 25 22:43:43 2025 begin with 919756426 relations and 866570633 unique ideals Wed Jun 25 22:44:02 2025 reduce to 919383840 relations and 848431228 ideals in 10 passes Wed Jun 25 22:44:02 2025 max relations containing the same ideal: 121 Wed Jun 25 22:46:54 2025 removing 18155974 relations and 16155974 ideals in 2000000 cliques Wed Jun 25 22:47:10 2025 commencing in-memory singleton removal Wed Jun 25 22:47:13 2025 begin with 901227866 relations and 848431228 unique ideals Wed Jun 25 22:47:29 2025 reduce to 900906810 relations and 831953375 ideals in 9 passes Wed Jun 25 22:47:29 2025 max relations containing the same ideal: 120 Wed Jun 25 22:50:16 2025 removing 17039633 relations and 15039633 ideals in 2000000 cliques Wed Jun 25 22:50:33 2025 commencing in-memory singleton removal Wed Jun 25 22:50:35 2025 begin with 883867177 relations and 831953375 unique ideals Wed Jun 25 22:50:50 2025 reduce to 883580721 relations and 816626591 ideals in 8 passes Wed Jun 25 22:50:50 2025 max relations containing the same ideal: 118 Wed Jun 25 22:53:37 2025 removing 16202360 relations and 14202360 ideals in 2000000 cliques Wed Jun 25 22:53:53 2025 commencing in-memory singleton removal Wed Jun 25 22:53:55 2025 begin with 867378361 relations and 816626591 unique ideals Wed Jun 25 22:54:11 2025 reduce to 867114510 relations and 802159753 ideals in 9 passes Wed Jun 25 22:54:11 2025 max relations containing the same ideal: 117 Wed Jun 25 22:56:50 2025 removing 15547050 relations and 13547050 ideals in 2000000 cliques Wed Jun 25 22:57:06 2025 commencing in-memory singleton removal Wed Jun 25 22:57:08 2025 begin with 851567460 relations and 802159753 unique ideals Wed Jun 25 22:57:22 2025 reduce to 851321790 relations and 788366408 ideals in 8 passes Wed Jun 25 22:57:22 2025 max relations containing the same ideal: 115 Wed Jun 25 22:59:53 2025 removing 15012267 relations and 13012267 ideals in 2000000 cliques Wed Jun 25 23:00:08 2025 commencing in-memory singleton removal Wed Jun 25 23:00:10 2025 begin with 836309523 relations and 788366408 unique ideals Wed Jun 25 23:00:26 2025 reduce to 836078131 relations and 775122148 ideals in 9 passes Wed Jun 25 23:00:26 2025 max relations containing the same ideal: 114 Wed Jun 25 23:02:58 2025 removing 14558910 relations and 12558910 ideals in 2000000 cliques Wed Jun 25 23:03:12 2025 commencing in-memory singleton removal Wed Jun 25 23:03:14 2025 begin with 821519221 relations and 775122148 unique ideals Wed Jun 25 23:03:28 2025 reduce to 821297769 relations and 762341273 ideals in 8 passes Wed Jun 25 23:03:28 2025 max relations containing the same ideal: 114 Wed Jun 25 23:05:57 2025 removing 14175306 relations and 12175306 ideals in 2000000 cliques Wed Jun 25 23:06:12 2025 commencing in-memory singleton removal Wed Jun 25 23:06:14 2025 begin with 807122463 relations and 762341273 unique ideals Wed Jun 25 23:06:28 2025 reduce to 806909476 relations and 749952452 ideals in 8 passes Wed Jun 25 23:06:28 2025 max relations containing the same ideal: 113 Wed Jun 25 23:08:52 2025 removing 13844948 relations and 11844948 ideals in 2000000 cliques Wed Jun 25 23:09:06 2025 commencing in-memory singleton removal Wed Jun 25 23:09:08 2025 begin with 793064528 relations and 749952452 unique ideals Wed Jun 25 23:09:21 2025 reduce to 792859950 relations and 737902448 ideals in 8 passes Wed Jun 25 23:09:21 2025 max relations containing the same ideal: 112 Wed Jun 25 23:11:42 2025 removing 13547027 relations and 11547027 ideals in 2000000 cliques Wed Jun 25 23:11:56 2025 commencing in-memory singleton removal Wed Jun 25 23:11:58 2025 begin with 779312923 relations and 737902448 unique ideals Wed Jun 25 23:12:10 2025 reduce to 779113674 relations and 726155667 ideals in 8 passes Wed Jun 25 23:12:10 2025 max relations containing the same ideal: 110 Wed Jun 25 23:14:28 2025 removing 13301721 relations and 11301721 ideals in 2000000 cliques Wed Jun 25 23:14:42 2025 commencing in-memory singleton removal Wed Jun 25 23:14:44 2025 begin with 765811953 relations and 726155667 unique ideals Wed Jun 25 23:14:58 2025 reduce to 765618007 relations and 714659523 ideals in 9 passes Wed Jun 25 23:14:58 2025 max relations containing the same ideal: 110 Wed Jun 25 23:17:43 2025 removing 13068092 relations and 11068092 ideals in 2000000 cliques Wed Jun 25 23:17:57 2025 commencing in-memory singleton removal Wed Jun 25 23:17:59 2025 begin with 752549915 relations and 714659523 unique ideals Wed Jun 25 23:18:13 2025 reduce to 752357961 relations and 703398966 ideals in 9 passes Wed Jun 25 23:18:13 2025 max relations containing the same ideal: 108 Wed Jun 25 23:20:28 2025 removing 12861299 relations and 10861299 ideals in 2000000 cliques Wed Jun 25 23:20:41 2025 commencing in-memory singleton removal Wed Jun 25 23:20:43 2025 begin with 739496662 relations and 703398966 unique ideals Wed Jun 25 23:20:54 2025 reduce to 739309295 relations and 692349798 ideals in 7 passes Wed Jun 25 23:20:54 2025 max relations containing the same ideal: 105 Wed Jun 25 23:23:04 2025 removing 12678229 relations and 10678229 ideals in 2000000 cliques Wed Jun 25 23:23:17 2025 commencing in-memory singleton removal Wed Jun 25 23:23:19 2025 begin with 726631066 relations and 692349798 unique ideals Wed Jun 25 23:23:30 2025 reduce to 726445608 relations and 681485593 ideals in 7 passes Wed Jun 25 23:23:30 2025 max relations containing the same ideal: 104 Wed Jun 25 23:25:38 2025 removing 12505839 relations and 10505839 ideals in 2000000 cliques Wed Jun 25 23:25:51 2025 commencing in-memory singleton removal Wed Jun 25 23:25:53 2025 begin with 713939769 relations and 681485593 unique ideals Wed Jun 25 23:26:04 2025 reduce to 713756353 relations and 670795863 ideals in 7 passes Wed Jun 25 23:26:04 2025 max relations containing the same ideal: 103 Wed Jun 25 23:28:10 2025 removing 12350077 relations and 10350077 ideals in 2000000 cliques Wed Jun 25 23:28:22 2025 commencing in-memory singleton removal Wed Jun 25 23:28:24 2025 begin with 701406276 relations and 670795863 unique ideals Wed Jun 25 23:28:36 2025 reduce to 701224485 relations and 660263465 ideals in 8 passes Wed Jun 25 23:28:36 2025 max relations containing the same ideal: 102 Wed Jun 25 23:30:41 2025 removing 12206633 relations and 10206633 ideals in 2000000 cliques Wed Jun 25 23:30:53 2025 commencing in-memory singleton removal Wed Jun 25 23:30:55 2025 begin with 689017852 relations and 660263465 unique ideals Wed Jun 25 23:31:07 2025 reduce to 688837133 relations and 649875581 ideals in 8 passes Wed Jun 25 23:31:07 2025 max relations containing the same ideal: 101 Wed Jun 25 23:33:10 2025 removing 12084204 relations and 10084204 ideals in 2000000 cliques Wed Jun 25 23:33:22 2025 commencing in-memory singleton removal Wed Jun 25 23:33:24 2025 begin with 676752929 relations and 649875581 unique ideals Wed Jun 25 23:33:36 2025 reduce to 676573128 relations and 639611082 ideals in 8 passes Wed Jun 25 23:33:36 2025 max relations containing the same ideal: 100 Wed Jun 25 23:35:36 2025 removing 11964387 relations and 9964387 ideals in 2000000 cliques Wed Jun 25 23:35:48 2025 commencing in-memory singleton removal Wed Jun 25 23:35:49 2025 begin with 664608741 relations and 639611082 unique ideals Wed Jun 25 23:36:02 2025 reduce to 664430549 relations and 629468041 ideals in 10 passes Wed Jun 25 23:36:02 2025 max relations containing the same ideal: 98 Wed Jun 25 23:38:02 2025 removing 11856303 relations and 9856303 ideals in 2000000 cliques Wed Jun 25 23:38:13 2025 commencing in-memory singleton removal Wed Jun 25 23:38:15 2025 begin with 652574246 relations and 629468041 unique ideals Wed Jun 25 23:38:26 2025 reduce to 652393831 relations and 619430807 ideals in 8 passes Wed Jun 25 23:38:26 2025 max relations containing the same ideal: 97 Wed Jun 25 23:40:23 2025 removing 11761683 relations and 9761683 ideals in 2000000 cliques Wed Jun 25 23:40:34 2025 commencing in-memory singleton removal Wed Jun 25 23:40:36 2025 begin with 640632148 relations and 619430807 unique ideals Wed Jun 25 23:40:46 2025 reduce to 640454711 relations and 609491174 ideals in 7 passes Wed Jun 25 23:40:46 2025 max relations containing the same ideal: 95 Wed Jun 25 23:42:51 2025 removing 11672514 relations and 9672514 ideals in 2000000 cliques Wed Jun 25 23:43:02 2025 commencing in-memory singleton removal Wed Jun 25 23:43:04 2025 begin with 628782197 relations and 609491174 unique ideals Wed Jun 25 23:43:13 2025 reduce to 628602038 relations and 599637970 ideals in 7 passes Wed Jun 25 23:43:13 2025 max relations containing the same ideal: 94 Wed Jun 25 23:45:05 2025 removing 11583981 relations and 9583981 ideals in 2000000 cliques Wed Jun 25 23:45:16 2025 commencing in-memory singleton removal Wed Jun 25 23:45:17 2025 begin with 617018057 relations and 599637970 unique ideals Wed Jun 25 23:45:27 2025 reduce to 616836988 relations and 589872370 ideals in 8 passes Wed Jun 25 23:45:27 2025 max relations containing the same ideal: 92 Wed Jun 25 23:47:17 2025 removing 11516999 relations and 9516999 ideals in 2000000 cliques Wed Jun 25 23:47:27 2025 commencing in-memory singleton removal Wed Jun 25 23:47:29 2025 begin with 605319989 relations and 589872370 unique ideals Wed Jun 25 23:47:39 2025 reduce to 605139722 relations and 580174551 ideals in 8 passes Wed Jun 25 23:47:39 2025 max relations containing the same ideal: 91 Wed Jun 25 23:49:26 2025 removing 11440840 relations and 9440840 ideals in 2000000 cliques Wed Jun 25 23:49:37 2025 commencing in-memory singleton removal Wed Jun 25 23:49:38 2025 begin with 593698882 relations and 580174551 unique ideals Wed Jun 25 23:49:47 2025 reduce to 593516004 relations and 570550290 ideals in 7 passes Wed Jun 25 23:49:47 2025 max relations containing the same ideal: 90 Wed Jun 25 23:51:33 2025 removing 11384477 relations and 9384477 ideals in 2000000 cliques Wed Jun 25 23:51:43 2025 commencing in-memory singleton removal Wed Jun 25 23:51:45 2025 begin with 582131527 relations and 570550290 unique ideals Wed Jun 25 23:51:54 2025 reduce to 581946737 relations and 560980471 ideals in 7 passes Wed Jun 25 23:51:54 2025 max relations containing the same ideal: 89 Wed Jun 25 23:53:38 2025 removing 11329460 relations and 9329460 ideals in 2000000 cliques Wed Jun 25 23:53:48 2025 commencing in-memory singleton removal Wed Jun 25 23:53:49 2025 begin with 570617277 relations and 560980471 unique ideals Wed Jun 25 23:53:58 2025 reduce to 570428647 relations and 551461802 ideals in 7 passes Wed Jun 25 23:53:58 2025 max relations containing the same ideal: 88 Wed Jun 25 23:55:39 2025 removing 11281378 relations and 9281378 ideals in 2000000 cliques Wed Jun 25 23:55:49 2025 commencing in-memory singleton removal Wed Jun 25 23:55:50 2025 begin with 559147269 relations and 551461802 unique ideals Wed Jun 25 23:55:59 2025 reduce to 558957348 relations and 541989858 ideals in 8 passes Wed Jun 25 23:55:59 2025 max relations containing the same ideal: 87 Wed Jun 25 23:57:39 2025 removing 11239281 relations and 9239281 ideals in 2000000 cliques Wed Jun 25 23:57:48 2025 commencing in-memory singleton removal Wed Jun 25 23:57:50 2025 begin with 547718067 relations and 541989858 unique ideals Wed Jun 25 23:57:58 2025 reduce to 547526031 relations and 532557890 ideals in 7 passes Wed Jun 25 23:57:58 2025 max relations containing the same ideal: 84 Wed Jun 25 23:59:35 2025 removing 1102311 relations and 967343 ideals in 134968 cliques Wed Jun 25 23:59:44 2025 commencing in-memory singleton removal Wed Jun 25 23:59:45 2025 begin with 546423720 relations and 532557890 unique ideals Wed Jun 25 23:59:52 2025 reduce to 546421991 relations and 531588818 ideals in 5 passes Wed Jun 25 23:59:52 2025 max relations containing the same ideal: 84 Thu Jun 26 00:00:36 2025 relations with 0 large ideals: 524129 Thu Jun 26 00:00:36 2025 relations with 1 large ideals: 880349 Thu Jun 26 00:00:36 2025 relations with 2 large ideals: 7664018 Thu Jun 26 00:00:36 2025 relations with 3 large ideals: 35578563 Thu Jun 26 00:00:36 2025 relations with 4 large ideals: 95558975 Thu Jun 26 00:00:36 2025 relations with 5 large ideals: 153402800 Thu Jun 26 00:00:36 2025 relations with 6 large ideals: 146052494 Thu Jun 26 00:00:36 2025 relations with 7+ large ideals: 106760663 Thu Jun 26 00:00:36 2025 commencing 2-way merge Thu Jun 26 00:03:34 2025 reduce to 335315756 relation sets and 320482583 unique ideals Thu Jun 26 00:03:34 2025 commencing full merge Thu Jun 26 00:46:50 2025 memory use: 34777.3 MB Thu Jun 26 00:47:09 2025 found 170604874 cycles, need 168566783 Thu Jun 26 00:47:54 2025 weight of 168566783 cycles is about 15171301660 (90.00/cycle) Thu Jun 26 00:47:55 2025 distribution of cycle lengths: Thu Jun 26 00:47:55 2025 1 relations: 18010219 Thu Jun 26 00:47:55 2025 2 relations: 19981433 Thu Jun 26 00:47:55 2025 3 relations: 20379913 Thu Jun 26 00:47:55 2025 4 relations: 18023256 Thu Jun 26 00:47:55 2025 5 relations: 16162558 Thu Jun 26 00:47:55 2025 6 relations: 13777348 Thu Jun 26 00:47:55 2025 7 relations: 12225469 Thu Jun 26 00:47:55 2025 8 relations: 10480038 Thu Jun 26 00:47:55 2025 9 relations: 8941590 Thu Jun 26 00:47:55 2025 10+ relations: 30584959 Thu Jun 26 00:47:55 2025 heaviest cycle: 19 relations Thu Jun 26 00:48:24 2025 commencing cycle optimization Thu Jun 26 00:51:10 2025 start with 978482933 relations Thu Jun 26 01:04:07 2025 pruned 20574532 relations Thu Jun 26 01:04:19 2025 memory use: 32423.0 MB Thu Jun 26 01:04:20 2025 distribution of cycle lengths: Thu Jun 26 01:04:20 2025 1 relations: 18010219 Thu Jun 26 01:04:20 2025 2 relations: 20398230 Thu Jun 26 01:04:20 2025 3 relations: 21052139 Thu Jun 26 01:04:20 2025 4 relations: 18387657 Thu Jun 26 01:04:20 2025 5 relations: 16456803 Thu Jun 26 01:04:20 2025 6 relations: 13928147 Thu Jun 26 01:04:20 2025 7 relations: 12297146 Thu Jun 26 01:04:20 2025 8 relations: 10467769 Thu Jun 26 01:04:20 2025 9 relations: 8887610 Thu Jun 26 01:04:20 2025 10+ relations: 28681063 Thu Jun 26 01:04:20 2025 heaviest cycle: 19 relations Thu Jun 26 01:06:44 2025 RelProcTime: 25368 Thu Jun 26 01:06:44 2025 elapsed time 07:02:49 Thu Jun 26 01:06:51 2025 Thu Jun 26 01:06:51 2025 Thu Jun 26 01:06:51 2025 Msieve v. 1.54 (SVN unknown) Thu Jun 26 01:06:51 2025 random seeds: 4368cf94 cbb09b5a Thu Jun 26 01:06:51 2025 MPI process 0 of 4 Thu Jun 26 01:06:51 2025 Using 10 OpenMP threads Thu Jun 26 01:06:51 2025 factoring 8148091773035763657609367183167507000250813751491659185486536323964358348659402538274808828708620122548076203343890750781082280130294866646260438340888239361095503791524447989010352442776446661269157507898577340056516560250243763522439076454506209968866543213573976534136445194897849138298541136316621017694500630820639 (319 digits) Thu Jun 26 01:06:52 2025 no P-1/P+1/ECM available, skipping Thu Jun 26 01:06:52 2025 commencing number field sieve (319-digit input) Thu Jun 26 01:06:52 2025 R0: -15624722518287446627037310616316692383878522699200314331 Thu Jun 26 01:06:52 2025 R1: 1 Thu Jun 26 01:06:52 2025 A0: -11 Thu Jun 26 01:06:52 2025 A1: 0 Thu Jun 26 01:06:52 2025 A2: 0 Thu Jun 26 01:06:52 2025 A3: 0 Thu Jun 26 01:06:52 2025 A4: 0 Thu Jun 26 01:06:52 2025 A5: 0 Thu Jun 26 01:06:52 2025 A6: 1 Thu Jun 26 01:06:52 2025 skew 1.98, size 4.050e-16, alpha 1.143, combined = 2.486e-16 rroots = 2 Thu Jun 26 01:06:52 2025 Thu Jun 26 01:06:52 2025 commencing linear algebra Thu Jun 26 01:06:52 2025 using VBITS=256 Thu Jun 26 01:06:52 2025 initialized process (0,0) of 2 x 2 grid Thu Jun 26 01:07:04 2025 read 168566783 cycles Thu Jun 26 01:10:09 2025 cycles contain 536860445 unique relations Thu Jun 26 01:14:43 2025 read 536860445 relations Thu Jun 26 01:17:32 2025 using 20 quadratic characters above 4294917295 Thu Jun 26 01:20:23 2025 building initial matrix Thu Jun 26 02:27:46 2025 memory use: 74966.6 MB Thu Jun 26 02:29:04 2025 read 168566783 cycles Thu Jun 26 02:29:14 2025 matrix is 168566579 x 168566783 (63188.3 MB) with weight 18407230135 (109.20/col) Thu Jun 26 02:29:14 2025 sparse part has weight 14710192679 (87.27/col) Thu Jun 26 02:56:24 2025 filtering completed in 2 passes Thu Jun 26 02:56:50 2025 matrix is 168432431 x 168432622 (63178.8 MB) with weight 18403351681 (109.26/col) Thu Jun 26 02:56:50 2025 sparse part has weight 14709177703 (87.33/col) Thu Jun 26 03:01:43 2025 matrix starts at (0, 0) Thu Jun 26 03:01:47 2025 matrix is 84216336 x 84216503 (18588.8 MB) with weight 5793667087 (68.79/col) Thu Jun 26 03:01:47 2025 sparse part has weight 3946554641 (46.86/col) Thu Jun 26 03:01:47 2025 saving the first 240 matrix rows for later Thu Jun 26 03:01:54 2025 matrix includes 256 packed rows Thu Jun 26 03:02:21 2025 matrix is 84216096 x 84216503 (17317.6 MB) with weight 3410582052 (40.50/col) Thu Jun 26 03:02:21 2025 sparse part has weight 3192241183 (37.91/col) Thu Jun 26 03:02:21 2025 using GPU 0 (NVIDIA H200) Thu Jun 26 03:02:21 2025 selected card has CUDA arch 9.0 Thu Jun 26 03:07:18 2025 commencing Lanczos iteration Thu Jun 26 03:07:22 2025 memory use: 41060.4 MB Thu Jun 26 03:08:31 2025 linear algebra at 0.0%, ETA 62h36m Thu Jun 26 03:09:33 2025 checking every 40000 dimensions, checkpointing every 2720000 dimensions Sat Jun 28 17:38:59 2025 lanczos halted after 659907 iterations (dim = 168432189) Sat Jun 28 17:45:43 2025 recovered 37 nontrivial dependencies Sat Jun 28 17:45:45 2025 BLanczosTime: 232733 Sat Jun 28 17:45:45 2025 elapsed time 64:38:54 Sat Jun 28 17:45:51 2025 Sat Jun 28 17:45:51 2025 Sat Jun 28 17:45:51 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Jun 28 17:45:51 2025 random seeds: 24751a1f f5c4150e Sat Jun 28 17:45:51 2025 MPI process 0 of 1 Sat Jun 28 17:45:51 2025 Using 64 OpenMP threads Sat Jun 28 17:45:51 2025 factoring 8148091773035763657609367183167507000250813751491659185486536323964358348659402538274808828708620122548076203343890750781082280130294866646260438340888239361095503791524447989010352442776446661269157507898577340056516560250243763522439076454506209968866543213573976534136445194897849138298541136316621017694500630820639 (319 digits) Sat Jun 28 17:45:52 2025 no P-1/P+1/ECM available, skipping Sat Jun 28 17:45:52 2025 commencing number field sieve (319-digit input) Sat Jun 28 17:45:52 2025 R0: -15624722518287446627037310616316692383878522699200314331 Sat Jun 28 17:45:52 2025 R1: 1 Sat Jun 28 17:45:52 2025 A0: -11 Sat Jun 28 17:45:52 2025 A1: 0 Sat Jun 28 17:45:52 2025 A2: 0 Sat Jun 28 17:45:52 2025 A3: 0 Sat Jun 28 17:45:52 2025 A4: 0 Sat Jun 28 17:45:52 2025 A5: 0 Sat Jun 28 17:45:52 2025 A6: 1 Sat Jun 28 17:45:52 2025 skew 1.98, size 4.050e-16, alpha 1.143, combined = 2.486e-16 rroots = 2 Sat Jun 28 17:45:52 2025 Sat Jun 28 17:45:52 2025 commencing square root phase Sat Jun 28 17:45:52 2025 reading relations for dependency 1 Sat Jun 28 17:46:03 2025 read 84213963 cycles Sat Jun 28 17:47:28 2025 cycles contain 268407816 unique relations Sat Jun 28 17:49:22 2025 read 268407816 relations Sat Jun 28 18:01:35 2025 multiplying 268407816 relations Sat Jun 28 18:15:53 2025 multiply complete, coefficients have about 7865.95 million bits Sat Jun 28 18:16:09 2025 initial square root is modulo 662328451 Sat Jun 28 19:00:43 2025 found factor: 34048478878279095653942955992368866022342194392390977189441000277494484939058225870784663033611312298545662858440163702107235115147466803857 Sat Jun 28 19:00:43 2025 reading relations for dependency 2 Sat Jun 28 19:00:54 2025 read 84215908 cycles Sat Jun 28 19:02:22 2025 cycles contain 268441204 unique relations Sat Jun 28 19:04:13 2025 read 268441204 relations Sat Jun 28 19:16:53 2025 multiplying 268441204 relations Sat Jun 28 19:31:02 2025 multiply complete, coefficients have about 7866.91 million bits Sat Jun 28 19:31:18 2025 initial square root is modulo 663978151 Sat Jun 28 20:14:39 2025 sqrtTime: 8927 Sat Jun 28 20:14:39 2025 p69 factor: 594406124510773764041113143866254359783300784523323072062606706507259 Sat Jun 28 20:14:39 2025 p111 factor: 402601067239011528785178503228351929541758848708823670167061708944353645905279432973510333380621360694255372253 Sat Jun 28 20:14:39 2025 p140 factor: 34048478878279095653942955992368866022342194392390977189441000277494484939058225870784663033611312298545662858440163702107235115147466803857 Sat Jun 28 20:14:39 2025 elapsed time 02:28:48