Sat Feb 28 20:24:28 2026 Sat Feb 28 20:24:28 2026 Sat Feb 28 20:24:28 2026 Msieve v. 1.54 (SVN unknown) Sat Feb 28 20:24:28 2026 random seeds: aab42273 fd585f3e Sat Feb 28 20:24:28 2026 factoring 1736990134841502640626753386091646698626113096669852255166898461106309882482317260334430841359523776514011128902710995286768585388199136950290114606132616060589653 (163 digits) Sat Feb 28 20:24:29 2026 no P-1/P+1/ECM available, skipping Sat Feb 28 20:24:29 2026 commencing number field sieve (163-digit input) Sat Feb 28 20:24:29 2026 R0: -45166861312155602687083656718303 Sat Feb 28 20:24:29 2026 R1: 185076495706499924363 Sat Feb 28 20:24:29 2026 A0: 19194369422484709561155916164846650100 Sat Feb 28 20:24:29 2026 A1: 35671855087402166197908014707865 Sat Feb 28 20:24:29 2026 A2: -31834034255866102794461418 Sat Feb 28 20:24:29 2026 A3: -10642458562921079039 Sat Feb 28 20:24:29 2026 A4: 5630968393554 Sat Feb 28 20:24:29 2026 A5: 388080 Sat Feb 28 20:24:29 2026 skew 1.00, size 1.171e-15, alpha -7.382, combined = 1.084e-14 rroots = 5 Sat Feb 28 20:24:29 2026 Sat Feb 28 20:24:29 2026 commencing relation filtering Sat Feb 28 20:24:29 2026 setting target matrix density to 70.0 Sat Feb 28 20:24:29 2026 estimated available RAM is 95911.2 MB Sat Feb 28 20:24:29 2026 commencing duplicate removal, pass 1 Sat Feb 28 20:26:23 2026 error -15 reading relation 21033168 Sat Feb 28 20:26:25 2026 error -15 reading relation 21378451 Sat Feb 28 20:26:27 2026 error -15 reading relation 21618968 Sat Feb 28 20:26:39 2026 error -5 reading relation 23901896 Sat Feb 28 20:27:07 2026 error -9 reading relation 28966406 Sat Feb 28 20:27:39 2026 error -1 reading relation 35005185 Sat Feb 28 20:27:41 2026 error -9 reading relation 35328592 Sat Feb 28 20:27:58 2026 error -5 reading relation 38368627 Sat Feb 28 20:30:06 2026 error -15 reading relation 61825586 Sat Feb 28 20:31:01 2026 error -15 reading relation 72085456 Sat Feb 28 20:31:25 2026 error -15 reading relation 76342789 Sat Feb 28 20:31:25 2026 error -9 reading relation 76349769 Sat Feb 28 20:31:25 2026 error -15 reading relation 76355511 Sat Feb 28 20:31:41 2026 error -9 reading relation 79470896 Sat Feb 28 20:32:11 2026 error -15 reading relation 84947307 Sat Feb 28 20:32:15 2026 error -15 reading relation 85739521 Sat Feb 28 20:32:20 2026 error -1 reading relation 86864245 Sat Feb 28 20:32:23 2026 error -15 reading relation 87327654 Sat Feb 28 20:32:30 2026 error -15 reading relation 88468231 Sat Feb 28 20:32:54 2026 error -9 reading relation 92868508 Sat Feb 28 20:33:15 2026 error -9 reading relation 96683773 Sat Feb 28 20:33:16 2026 error -9 reading relation 96899952 Sat Feb 28 20:33:25 2026 error -15 reading relation 98444342 Sat Feb 28 20:33:25 2026 error -15 reading relation 98452940 Sat Feb 28 20:33:27 2026 error -9 reading relation 98704419 Sat Feb 28 20:33:29 2026 error -9 reading relation 99077874 Sat Feb 28 20:33:29 2026 error -9 reading relation 99108643 Sat Feb 28 20:33:29 2026 error -15 reading relation 99162410 Sat Feb 28 20:33:29 2026 error -9 reading relation 99239547 Sat Feb 28 20:33:34 2026 error -15 reading relation 100092058 Sat Feb 28 20:33:35 2026 error -9 reading relation 100183818 Sat Feb 28 20:33:40 2026 error -9 reading relation 101267067 Sat Feb 28 20:33:43 2026 error -9 reading relation 101779395 Sat Feb 28 20:33:43 2026 error -9 reading relation 101790678 Sat Feb 28 20:33:47 2026 error -9 reading relation 102373777 Sat Feb 28 20:33:47 2026 error -1 reading relation 102399999 Sat Feb 28 20:33:51 2026 error -15 reading relation 103149017 Sat Feb 28 20:33:52 2026 error -1 reading relation 103306267 Sat Feb 28 20:33:52 2026 error -9 reading relation 103392962 Sat Feb 28 20:33:56 2026 error -15 reading relation 104032767 Sat Feb 28 20:33:56 2026 error -9 reading relation 104072538 Sat Feb 28 20:33:58 2026 error -5 reading relation 104390925 Sat Feb 28 20:33:58 2026 error -15 reading relation 104438004 Sat Feb 28 20:33:58 2026 error -15 reading relation 104473087 Sat Feb 28 20:33:58 2026 error -15 reading relation 104522842 Sat Feb 28 20:34:06 2026 error -1 reading relation 106129342 Sat Feb 28 20:34:07 2026 error -9 reading relation 106253448 Sat Feb 28 20:34:08 2026 error -15 reading relation 106476382 Sat Feb 28 20:34:35 2026 error -9 reading relation 111925117 Sat Feb 28 20:34:35 2026 error -15 reading relation 111930468 Sat Feb 28 20:34:36 2026 error -9 reading relation 111935888 Sat Feb 28 20:34:37 2026 error -15 reading relation 112267816 Sat Feb 28 20:34:38 2026 error -9 reading relation 112422427 Sat Feb 28 20:34:38 2026 error -9 reading relation 112427547 Sat Feb 28 20:34:41 2026 error -15 reading relation 113004003 Sat Feb 28 20:34:41 2026 error -1 reading relation 113098004 Sat Feb 28 20:34:41 2026 error -9 reading relation 113142814 Sat Feb 28 20:34:42 2026 error -15 reading relation 113174770 Sat Feb 28 20:34:42 2026 error -15 reading relation 113215116 Sat Feb 28 20:34:43 2026 error -9 reading relation 113416742 Sat Feb 28 20:34:43 2026 error -9 reading relation 113446689 Sat Feb 28 20:34:43 2026 error -9 reading relation 113486754 Sat Feb 28 20:34:44 2026 error -15 reading relation 113551757 Sat Feb 28 20:34:51 2026 error -5 reading relation 114988212 Sat Feb 28 20:34:53 2026 error -15 reading relation 115312365 Sat Feb 28 20:35:14 2026 error -15 reading relation 119767027 Sat Feb 28 20:35:14 2026 error -15 reading relation 119784680 Sat Feb 28 20:35:46 2026 error -9 reading relation 126327067 Sat Feb 28 20:35:49 2026 skipped 1 relations with b > 2^32 Sat Feb 28 20:35:49 2026 skipped 35 relations with composite factors Sat Feb 28 20:35:49 2026 found 19801099 hash collisions in 126944289 relations Sat Feb 28 20:36:07 2026 added 122229 free relations Sat Feb 28 20:36:07 2026 commencing duplicate removal, pass 2 Sat Feb 28 20:38:53 2026 found 19352729 duplicates and 107713789 unique relations Sat Feb 28 20:38:53 2026 memory use: 788.8 MB Sat Feb 28 20:38:53 2026 reading ideals above 720000 Sat Feb 28 20:38:53 2026 commencing singleton removal, initial pass Sat Feb 28 20:52:50 2026 memory use: 3012.0 MB Sat Feb 28 20:52:50 2026 reading all ideals from disk Sat Feb 28 20:52:53 2026 memory use: 3983.0 MB Sat Feb 28 20:53:05 2026 keeping 112282346 ideals with weight <= 200, target excess is 577463 Sat Feb 28 20:53:24 2026 commencing in-memory singleton removal Sat Feb 28 20:53:34 2026 begin with 107713789 relations and 112282346 unique ideals Sat Feb 28 20:57:10 2026 reduce to 46814782 relations and 42274968 ideals in 19 passes Sat Feb 28 20:57:10 2026 max relations containing the same ideal: 120 Sat Feb 28 20:57:43 2026 removing 3853975 relations and 3453975 ideals in 400000 cliques Sat Feb 28 20:57:46 2026 commencing in-memory singleton removal Sat Feb 28 20:57:50 2026 begin with 42960807 relations and 42274968 unique ideals Sat Feb 28 20:59:37 2026 reduce to 42717466 relations and 38574703 ideals in 11 passes Sat Feb 28 20:59:37 2026 max relations containing the same ideal: 114 Sat Feb 28 21:00:06 2026 removing 2828736 relations and 2428736 ideals in 400000 cliques Sat Feb 28 21:00:09 2026 commencing in-memory singleton removal Sat Feb 28 21:00:12 2026 begin with 39888730 relations and 38574703 unique ideals Sat Feb 28 21:01:32 2026 reduce to 39740276 relations and 35996020 ideals in 10 passes Sat Feb 28 21:01:32 2026 max relations containing the same ideal: 109 Sat Feb 28 21:02:00 2026 removing 2505444 relations and 2105444 ideals in 400000 cliques Sat Feb 28 21:02:02 2026 commencing in-memory singleton removal Sat Feb 28 21:02:05 2026 begin with 37234832 relations and 35996020 unique ideals Sat Feb 28 21:03:12 2026 reduce to 37109033 relations and 33763486 ideals in 8 passes Sat Feb 28 21:03:12 2026 max relations containing the same ideal: 101 Sat Feb 28 21:03:38 2026 removing 2330724 relations and 1930724 ideals in 400000 cliques Sat Feb 28 21:03:41 2026 commencing in-memory singleton removal Sat Feb 28 21:03:44 2026 begin with 34778309 relations and 33763486 unique ideals Sat Feb 28 21:04:46 2026 reduce to 34662399 relations and 31715727 ideals in 8 passes Sat Feb 28 21:04:46 2026 max relations containing the same ideal: 97 Sat Feb 28 21:05:10 2026 removing 2217564 relations and 1817564 ideals in 400000 cliques Sat Feb 28 21:05:12 2026 commencing in-memory singleton removal Sat Feb 28 21:05:15 2026 begin with 32444835 relations and 31715727 unique ideals Sat Feb 28 21:06:13 2026 reduce to 32333507 relations and 29785641 ideals in 8 passes Sat Feb 28 21:06:13 2026 max relations containing the same ideal: 93 Sat Feb 28 21:06:35 2026 removing 2135447 relations and 1735447 ideals in 400000 cliques Sat Feb 28 21:06:37 2026 commencing in-memory singleton removal Sat Feb 28 21:06:40 2026 begin with 30198060 relations and 29785641 unique ideals Sat Feb 28 21:07:41 2026 reduce to 30087917 relations and 27938834 ideals in 9 passes Sat Feb 28 21:07:41 2026 max relations containing the same ideal: 89 Sat Feb 28 21:08:02 2026 removing 2077815 relations and 1677815 ideals in 400000 cliques Sat Feb 28 21:08:04 2026 commencing in-memory singleton removal Sat Feb 28 21:08:06 2026 begin with 28010102 relations and 27938834 unique ideals Sat Feb 28 21:08:50 2026 reduce to 27896941 relations and 26146545 ideals in 7 passes Sat Feb 28 21:08:50 2026 max relations containing the same ideal: 86 Sat Feb 28 21:09:09 2026 removing 2037825 relations and 1637825 ideals in 400000 cliques Sat Feb 28 21:09:11 2026 commencing in-memory singleton removal Sat Feb 28 21:09:13 2026 begin with 25859116 relations and 26146545 unique ideals Sat Feb 28 21:10:04 2026 reduce to 25742602 relations and 24390719 ideals in 9 passes Sat Feb 28 21:10:04 2026 max relations containing the same ideal: 83 Sat Feb 28 21:10:22 2026 removing 2006791 relations and 1606791 ideals in 400000 cliques Sat Feb 28 21:10:23 2026 commencing in-memory singleton removal Sat Feb 28 21:10:26 2026 begin with 23735811 relations and 24390719 unique ideals Sat Feb 28 21:11:06 2026 reduce to 23614270 relations and 22660744 ideals in 8 passes Sat Feb 28 21:11:06 2026 max relations containing the same ideal: 79 Sat Feb 28 21:11:22 2026 removing 1505482 relations and 1221814 ideals in 283668 cliques Sat Feb 28 21:11:24 2026 commencing in-memory singleton removal Sat Feb 28 21:11:25 2026 begin with 22108788 relations and 22660744 unique ideals Sat Feb 28 21:12:03 2026 reduce to 22037226 relations and 21366616 ideals in 8 passes Sat Feb 28 21:12:03 2026 max relations containing the same ideal: 75 Sat Feb 28 21:12:20 2026 relations with 0 large ideals: 1906 Sat Feb 28 21:12:20 2026 relations with 1 large ideals: 12927 Sat Feb 28 21:12:20 2026 relations with 2 large ideals: 174225 Sat Feb 28 21:12:20 2026 relations with 3 large ideals: 1029604 Sat Feb 28 21:12:20 2026 relations with 4 large ideals: 3201306 Sat Feb 28 21:12:20 2026 relations with 5 large ideals: 5708452 Sat Feb 28 21:12:20 2026 relations with 6 large ideals: 6094314 Sat Feb 28 21:12:20 2026 relations with 7+ large ideals: 5814492 Sat Feb 28 21:12:20 2026 commencing 2-way merge Sat Feb 28 21:12:43 2026 reduce to 13072176 relation sets and 12401566 unique ideals Sat Feb 28 21:12:43 2026 commencing full merge Sat Feb 28 21:16:43 2026 memory use: 1429.4 MB Sat Feb 28 21:16:47 2026 found 7032202 cycles, need 6939766 Sat Feb 28 21:16:47 2026 weight of 6939766 cycles is about 485996317 (70.03/cycle) Sat Feb 28 21:16:47 2026 distribution of cycle lengths: Sat Feb 28 21:16:47 2026 1 relations: 924566 Sat Feb 28 21:16:47 2026 2 relations: 856982 Sat Feb 28 21:16:47 2026 3 relations: 856312 Sat Feb 28 21:16:47 2026 4 relations: 774651 Sat Feb 28 21:16:47 2026 5 relations: 689502 Sat Feb 28 21:16:47 2026 6 relations: 609020 Sat Feb 28 21:16:47 2026 7 relations: 528452 Sat Feb 28 21:16:47 2026 8 relations: 443282 Sat Feb 28 21:16:47 2026 9 relations: 360952 Sat Feb 28 21:16:47 2026 10+ relations: 896047 Sat Feb 28 21:16:47 2026 heaviest cycle: 18 relations Sat Feb 28 21:16:51 2026 commencing cycle optimization Sat Feb 28 21:17:04 2026 start with 36285149 relations Sat Feb 28 21:18:09 2026 pruned 715338 relations Sat Feb 28 21:18:09 2026 memory use: 1263.8 MB Sat Feb 28 21:18:09 2026 distribution of cycle lengths: Sat Feb 28 21:18:09 2026 1 relations: 924566 Sat Feb 28 21:18:09 2026 2 relations: 874689 Sat Feb 28 21:18:09 2026 3 relations: 882432 Sat Feb 28 21:18:09 2026 4 relations: 788675 Sat Feb 28 21:18:09 2026 5 relations: 703220 Sat Feb 28 21:18:09 2026 6 relations: 615000 Sat Feb 28 21:18:09 2026 7 relations: 532539 Sat Feb 28 21:18:09 2026 8 relations: 440821 Sat Feb 28 21:18:09 2026 9 relations: 356223 Sat Feb 28 21:18:09 2026 10+ relations: 821601 Sat Feb 28 21:18:09 2026 heaviest cycle: 18 relations Sat Feb 28 21:18:26 2026 RelProcTime: 3237 Sat Feb 28 21:18:26 2026 Sat Feb 28 21:18:26 2026 commencing linear algebra Sat Feb 28 21:18:27 2026 read 6939766 cycles Sat Feb 28 21:18:39 2026 cycles contain 21542335 unique relations Sat Feb 28 21:21:08 2026 read 21542335 relations Sat Feb 28 21:21:58 2026 using 20 quadratic characters above 4294917295 Sat Feb 28 21:22:52 2026 building initial matrix Sat Feb 28 21:26:49 2026 memory use: 2987.4 MB Sat Feb 28 21:26:54 2026 read 6939766 cycles Sat Feb 28 21:26:55 2026 matrix is 6939589 x 6939766 (2118.9 MB) with weight 669429884 (96.46/col) Sat Feb 28 21:26:55 2026 sparse part has weight 472179880 (68.04/col) Sat Feb 28 21:28:01 2026 filtering completed in 2 passes Sat Feb 28 21:28:03 2026 matrix is 6933138 x 6933315 (2118.4 MB) with weight 669200195 (96.52/col) Sat Feb 28 21:28:03 2026 sparse part has weight 472129322 (68.10/col) Sat Feb 28 21:28:24 2026 matrix starts at (0, 0) Sat Feb 28 21:28:25 2026 matrix is 6933138 x 6933315 (2118.4 MB) with weight 669200195 (96.52/col) Sat Feb 28 21:28:25 2026 sparse part has weight 472129322 (68.10/col) Sat Feb 28 21:28:25 2026 saving the first 48 matrix rows for later Sat Feb 28 21:28:26 2026 matrix includes 64 packed rows Sat Feb 28 21:28:27 2026 matrix is 6933090 x 6933315 (2047.4 MB) with weight 534727995 (77.12/col) Sat Feb 28 21:28:27 2026 sparse part has weight 467384583 (67.41/col) Sat Feb 28 21:28:27 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB Sat Feb 28 21:28:47 2026 commencing Lanczos iteration (16 threads) Sat Feb 28 21:28:47 2026 memory use: 1988.0 MB Sat Feb 28 21:29:02 2026 linear algebra at 0.0%, ETA 19h 1m Sat Feb 28 21:29:07 2026 checkpointing every 370000 dimensions Sun Mar 1 16:23:52 2026 lanczos halted after 109642 iterations (dim = 6933090) Sun Mar 1 16:23:58 2026 recovered 32 nontrivial dependencies Sun Mar 1 16:23:59 2026 BLanczosTime: 68733 Sun Mar 1 16:23:59 2026 Sun Mar 1 16:23:59 2026 commencing square root phase Sun Mar 1 16:23:59 2026 handling dependencies 1 to 64 Sun Mar 1 16:23:59 2026 reading relations for dependency 1 Sun Mar 1 16:24:01 2026 read 3466278 cycles Sun Mar 1 16:24:06 2026 cycles contain 10772280 unique relations Sun Mar 1 16:26:04 2026 read 10772280 relations Sun Mar 1 16:27:07 2026 multiplying 10772280 relations Sun Mar 1 16:38:21 2026 multiply complete, coefficients have about 594.70 million bits Sun Mar 1 16:38:24 2026 initial square root is modulo 216743 Sun Mar 1 16:51:38 2026 GCD is N, no factor found Sun Mar 1 16:51:38 2026 reading relations for dependency 2 Sun Mar 1 16:51:39 2026 read 3467413 cycles Sun Mar 1 16:51:45 2026 cycles contain 10774892 unique relations Sun Mar 1 16:53:28 2026 read 10774892 relations Sun Mar 1 16:54:23 2026 multiplying 10774892 relations Sun Mar 1 17:04:02 2026 multiply complete, coefficients have about 594.83 million bits Sun Mar 1 17:04:06 2026 initial square root is modulo 217111 Sun Mar 1 17:16:14 2026 sqrtTime: 3135 Sun Mar 1 17:16:14 2026 p60 factor: 232511715788513685922965718589377817869841006058308835086051 Sun Mar 1 17:16:14 2026 p103 factor: 7470548866541510039623051236018072370213909106114277491994237404217215114712019902167530566870696006503 Sun Mar 1 17:16:14 2026 elapsed time 20:51:46