Tue Jan 27 12:30:25 2026 Tue Jan 27 12:30:25 2026 Tue Jan 27 12:30:25 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Jan 27 12:30:25 2026 random seeds: 6bf03006 f94b41b1 Tue Jan 27 12:30:25 2026 Using 32 OpenMP threads Tue Jan 27 12:30:25 2026 factoring 5124984437715247526266133565580402983307306847451414410133304851281204066266199034382520973894957277347486077141945714494342090239676993389998718147652801595001348321964803241480483 (181 digits) Tue Jan 27 12:30:26 2026 searching for 15-digit factors Tue Jan 27 12:30:27 2026 commencing number field sieve (181-digit input) Tue Jan 27 12:30:27 2026 R0: -66784101179759639168820520058554320 Tue Jan 27 12:30:27 2026 R1: 29829415211122952713082567 Tue Jan 27 12:30:27 2026 A0: 619273109310641874396628740595233546688594 Tue Jan 27 12:30:27 2026 A1: -661881799751809837721617805467126595 Tue Jan 27 12:30:27 2026 A2: -325304427186234166305603371428 Tue Jan 27 12:30:27 2026 A3: 54674472469749102939545 Tue Jan 27 12:30:27 2026 A4: 5231370859133484 Tue Jan 27 12:30:27 2026 A5: 97952400 Tue Jan 27 12:30:27 2026 skew 10266137.70, size 1.126e-17, alpha -8.556, combined = 7.618e-14 rroots = 5 Tue Jan 27 12:30:27 2026 Tue Jan 27 12:30:27 2026 commencing relation filtering Tue Jan 27 12:30:27 2026 setting target matrix density to 130.0 Tue Jan 27 12:30:27 2026 estimated available RAM is 257948.4 MB Tue Jan 27 12:30:27 2026 commencing duplicate removal, pass 1 Tue Jan 27 12:31:37 2026 error -1 reading relation 27057488 Tue Jan 27 12:31:44 2026 error -1 reading relation 29482313 Tue Jan 27 12:31:46 2026 error -1 reading relation 30351900 Tue Jan 27 12:32:12 2026 error -1 reading relation 40259128 Tue Jan 27 12:32:13 2026 error -1 reading relation 40523387 Tue Jan 27 12:32:20 2026 error -1 reading relation 43158677 Tue Jan 27 12:32:24 2026 error -1 reading relation 44715955 Tue Jan 27 12:33:32 2026 error -1 reading relation 70458278 Tue Jan 27 12:33:34 2026 error -1 reading relation 71009534 Tue Jan 27 12:34:53 2026 error -1 reading relation 101560972 Tue Jan 27 12:34:59 2026 error -1 reading relation 103745516 Tue Jan 27 12:36:04 2026 error -1 reading relation 128554937 Tue Jan 27 12:37:20 2026 error -15 reading relation 157202343 Tue Jan 27 12:37:20 2026 error -1 reading relation 157202344 Tue Jan 27 12:37:39 2026 error -1 reading relation 164756383 Tue Jan 27 12:37:51 2026 error -1 reading relation 169313816 Tue Jan 27 12:37:52 2026 error -15 reading relation 169861137 Tue Jan 27 12:37:52 2026 error -1 reading relation 169861138 Tue Jan 27 12:38:07 2026 error -1 reading relation 175411119 Tue Jan 27 12:38:11 2026 error -1 reading relation 177038405 Tue Jan 27 12:38:14 2026 error -1 reading relation 177877366 Tue Jan 27 12:38:19 2026 error -1 reading relation 179881925 Tue Jan 27 12:38:21 2026 error -1 reading relation 180694323 Tue Jan 27 12:38:22 2026 error -1 reading relation 181139488 Tue Jan 27 12:38:32 2026 error -1 reading relation 184844998 Tue Jan 27 12:38:35 2026 error -1 reading relation 186157587 Tue Jan 27 12:39:20 2026 error -1 reading relation 203166963 Tue Jan 27 12:39:32 2026 error -1 reading relation 207732825 Tue Jan 27 12:39:47 2026 error -1 reading relation 213643658 Tue Jan 27 12:39:55 2026 error -1 reading relation 216508154 Tue Jan 27 12:40:31 2026 error -1 reading relation 230349036 Tue Jan 27 12:41:19 2026 error -1 reading relation 248506706 Tue Jan 27 12:41:33 2026 error -1 reading relation 253735488 Tue Jan 27 12:42:17 2026 error -1 reading relation 270581225 Tue Jan 27 12:42:19 2026 error -1 reading relation 271403347 Tue Jan 27 12:43:54 2026 error -1 reading relation 307755734 Tue Jan 27 12:43:59 2026 error -1 reading relation 309534924 Tue Jan 27 12:44:06 2026 error -1 reading relation 312250445 Tue Jan 27 12:44:13 2026 error -1 reading relation 314914200 Tue Jan 27 12:44:15 2026 error -1 reading relation 315567141 Tue Jan 27 12:44:19 2026 error -1 reading relation 317046255 Tue Jan 27 12:44:26 2026 error -1 reading relation 319860791 Tue Jan 27 12:44:38 2026 error -1 reading relation 324433082 Tue Jan 27 12:44:47 2026 error -1 reading relation 327969639 Tue Jan 27 12:44:55 2026 error -1 reading relation 330855551 Tue Jan 27 12:45:04 2026 error -1 reading relation 334424082 Tue Jan 27 12:45:18 2026 error -1 reading relation 339672158 Tue Jan 27 12:45:36 2026 error -1 reading relation 346559643 Tue Jan 27 12:45:37 2026 error -1 reading relation 346817861 Tue Jan 27 12:46:05 2026 error -1 reading relation 357320670 Tue Jan 27 12:46:10 2026 error -1 reading relation 359167867 Tue Jan 27 12:46:21 2026 error -15 reading relation 363383833 Tue Jan 27 12:46:45 2026 error -1 reading relation 372598720 Tue Jan 27 12:47:18 2026 error -1 reading relation 385502462 Tue Jan 27 12:47:28 2026 error -1 reading relation 389029332 Tue Jan 27 12:47:54 2026 error -15 reading relation 399060629 Tue Jan 27 12:48:07 2026 error -1 reading relation 403865395 Tue Jan 27 12:48:12 2026 error -1 reading relation 405779292 Tue Jan 27 12:48:14 2026 error -1 reading relation 406462718 Tue Jan 27 12:48:14 2026 error -1 reading relation 406490675 Tue Jan 27 12:48:17 2026 error -1 reading relation 407914286 Tue Jan 27 12:48:17 2026 error -1 reading relation 407919457 Tue Jan 27 12:48:18 2026 error -1 reading relation 408038591 Tue Jan 27 12:48:18 2026 error -1 reading relation 408092513 Tue Jan 27 12:48:27 2026 error -1 reading relation 411682230 Tue Jan 27 12:48:42 2026 error -1 reading relation 417318103 Tue Jan 27 12:48:46 2026 skipped 1 relations with b > 2^32 Tue Jan 27 12:48:46 2026 skipped 1 relations with composite factors Tue Jan 27 12:48:46 2026 skipped 451 malformed relations Tue Jan 27 12:48:46 2026 found 81273419 hash collisions in 418993687 relations Tue Jan 27 12:49:15 2026 added 121837 free relations Tue Jan 27 12:49:15 2026 commencing duplicate removal, pass 2 Tue Jan 27 13:01:02 2026 found 82013224 duplicates and 337102300 unique relations Tue Jan 27 13:01:02 2026 memory use: 2643.0 MB Tue Jan 27 13:01:02 2026 reading ideals above 720000 Tue Jan 27 13:01:02 2026 commencing singleton removal, initial pass Tue Jan 27 13:36:12 2026 memory use: 6024.0 MB Tue Jan 27 13:36:12 2026 reading all ideals from disk Tue Jan 27 13:36:20 2026 memory use: 16491.8 MB Tue Jan 27 13:37:18 2026 keeping 315424483 ideals with weight <= 200, target excess is 1705166 Tue Jan 27 13:38:27 2026 commencing in-memory singleton removal Tue Jan 27 13:38:34 2026 begin with 337102300 relations and 315424483 unique ideals Tue Jan 27 13:39:05 2026 reduce to 204583591 relations and 168982602 ideals in 15 passes Tue Jan 27 13:39:05 2026 max relations containing the same ideal: 154 Tue Jan 27 13:40:40 2026 removing 12692826 relations and 10692826 ideals in 2000000 cliques Tue Jan 27 13:40:49 2026 commencing in-memory singleton removal Tue Jan 27 13:40:55 2026 begin with 191890765 relations and 168982602 unique ideals Tue Jan 27 13:41:09 2026 reduce to 191314073 relations and 157705714 ideals in 8 passes Tue Jan 27 13:41:09 2026 max relations containing the same ideal: 146 Tue Jan 27 13:42:43 2026 removing 9637994 relations and 7637994 ideals in 2000000 cliques Tue Jan 27 13:42:51 2026 commencing in-memory singleton removal Tue Jan 27 13:42:56 2026 begin with 181676079 relations and 157705714 unique ideals Tue Jan 27 13:43:13 2026 reduce to 181294899 relations and 149682498 ideals in 10 passes Tue Jan 27 13:43:13 2026 max relations containing the same ideal: 141 Tue Jan 27 13:45:13 2026 removing 8698591 relations and 6698591 ideals in 2000000 cliques Tue Jan 27 13:45:21 2026 commencing in-memory singleton removal Tue Jan 27 13:45:26 2026 begin with 172596308 relations and 149682498 unique ideals Tue Jan 27 13:45:38 2026 reduce to 172262389 relations and 142646436 ideals in 7 passes Tue Jan 27 13:45:38 2026 max relations containing the same ideal: 137 Tue Jan 27 13:47:01 2026 removing 8195300 relations and 6195300 ideals in 2000000 cliques Tue Jan 27 13:47:09 2026 commencing in-memory singleton removal Tue Jan 27 13:47:14 2026 begin with 164067089 relations and 142646436 unique ideals Tue Jan 27 13:47:26 2026 reduce to 163753862 relations and 136134640 ideals in 7 passes Tue Jan 27 13:47:26 2026 max relations containing the same ideal: 133 Tue Jan 27 13:48:42 2026 removing 7875601 relations and 5875601 ideals in 2000000 cliques Tue Jan 27 13:48:49 2026 commencing in-memory singleton removal Tue Jan 27 13:48:53 2026 begin with 155878261 relations and 136134640 unique ideals Tue Jan 27 13:49:05 2026 reduce to 155573986 relations and 129951371 ideals in 7 passes Tue Jan 27 13:49:05 2026 max relations containing the same ideal: 130 Tue Jan 27 13:50:19 2026 removing 7660679 relations and 5660679 ideals in 2000000 cliques Tue Jan 27 13:50:25 2026 commencing in-memory singleton removal Tue Jan 27 13:50:29 2026 begin with 147913307 relations and 129951371 unique ideals Tue Jan 27 13:50:39 2026 reduce to 147611239 relations and 123985109 ideals in 7 passes Tue Jan 27 13:50:39 2026 max relations containing the same ideal: 126 Tue Jan 27 13:51:59 2026 removing 7516140 relations and 5516140 ideals in 2000000 cliques Tue Jan 27 13:52:06 2026 commencing in-memory singleton removal Tue Jan 27 13:52:09 2026 begin with 140095099 relations and 123985109 unique ideals Tue Jan 27 13:52:19 2026 reduce to 139789244 relations and 118159384 ideals in 7 passes Tue Jan 27 13:52:19 2026 max relations containing the same ideal: 123 Tue Jan 27 13:53:33 2026 removing 7414930 relations and 5414930 ideals in 2000000 cliques Tue Jan 27 13:53:39 2026 commencing in-memory singleton removal Tue Jan 27 13:53:42 2026 begin with 132374314 relations and 118159384 unique ideals Tue Jan 27 13:53:51 2026 reduce to 132060518 relations and 112426705 ideals in 7 passes Tue Jan 27 13:53:51 2026 max relations containing the same ideal: 122 Tue Jan 27 13:54:57 2026 removing 7351046 relations and 5351046 ideals in 2000000 cliques Tue Jan 27 13:55:02 2026 commencing in-memory singleton removal Tue Jan 27 13:55:06 2026 begin with 124709472 relations and 112426705 unique ideals Tue Jan 27 13:55:14 2026 reduce to 124382763 relations and 106744561 ideals in 7 passes Tue Jan 27 13:55:14 2026 max relations containing the same ideal: 118 Tue Jan 27 13:56:18 2026 removing 7316526 relations and 5316526 ideals in 2000000 cliques Tue Jan 27 13:56:24 2026 commencing in-memory singleton removal Tue Jan 27 13:56:27 2026 begin with 117066237 relations and 106744561 unique ideals Tue Jan 27 13:56:35 2026 reduce to 116725086 relations and 101081854 ideals in 8 passes Tue Jan 27 13:56:35 2026 max relations containing the same ideal: 114 Tue Jan 27 13:57:32 2026 removing 7307782 relations and 5307782 ideals in 2000000 cliques Tue Jan 27 13:57:37 2026 commencing in-memory singleton removal Tue Jan 27 13:57:39 2026 begin with 109417304 relations and 101081854 unique ideals Tue Jan 27 13:57:47 2026 reduce to 109054361 relations and 95405634 ideals in 7 passes Tue Jan 27 13:57:47 2026 max relations containing the same ideal: 108 Tue Jan 27 13:58:38 2026 removing 7324402 relations and 5324402 ideals in 2000000 cliques Tue Jan 27 13:58:43 2026 commencing in-memory singleton removal Tue Jan 27 13:58:45 2026 begin with 101729959 relations and 95405634 unique ideals Tue Jan 27 13:58:53 2026 reduce to 101339830 relations and 89684647 ideals in 7 passes Tue Jan 27 13:58:53 2026 max relations containing the same ideal: 105 Tue Jan 27 13:59:42 2026 removing 7363864 relations and 5363864 ideals in 2000000 cliques Tue Jan 27 13:59:47 2026 commencing in-memory singleton removal Tue Jan 27 13:59:49 2026 begin with 93975966 relations and 89684647 unique ideals Tue Jan 27 13:59:57 2026 reduce to 93548802 relations and 83886224 ideals in 9 passes Tue Jan 27 13:59:57 2026 max relations containing the same ideal: 98 Tue Jan 27 14:00:44 2026 removing 7435640 relations and 5435640 ideals in 2000000 cliques Tue Jan 27 14:00:49 2026 commencing in-memory singleton removal Tue Jan 27 14:00:51 2026 begin with 86113162 relations and 83886224 unique ideals Tue Jan 27 14:00:56 2026 reduce to 85638717 relations and 77967262 ideals in 7 passes Tue Jan 27 14:00:56 2026 max relations containing the same ideal: 93 Tue Jan 27 14:01:37 2026 removing 7531968 relations and 5531968 ideals in 2000000 cliques Tue Jan 27 14:01:41 2026 commencing in-memory singleton removal Tue Jan 27 14:01:43 2026 begin with 78106749 relations and 77967262 unique ideals Tue Jan 27 14:01:49 2026 reduce to 77568228 relations and 71886095 ideals in 7 passes Tue Jan 27 14:01:49 2026 max relations containing the same ideal: 88 Tue Jan 27 14:02:27 2026 removing 7671891 relations and 5671891 ideals in 2000000 cliques Tue Jan 27 14:02:31 2026 commencing in-memory singleton removal Tue Jan 27 14:02:32 2026 begin with 69896337 relations and 71886095 unique ideals Tue Jan 27 14:02:38 2026 reduce to 69271036 relations and 65575299 ideals in 8 passes Tue Jan 27 14:02:38 2026 max relations containing the same ideal: 79 Tue Jan 27 14:03:14 2026 removing 6966533 relations and 5248789 ideals in 1717744 cliques Tue Jan 27 14:03:18 2026 commencing in-memory singleton removal Tue Jan 27 14:03:20 2026 begin with 62304503 relations and 65575299 unique ideals Tue Jan 27 14:03:24 2026 reduce to 61720420 relations and 59729996 ideals in 9 passes Tue Jan 27 14:03:24 2026 max relations containing the same ideal: 74 Tue Jan 27 14:03:56 2026 removing 111562 relations and 99131 ideals in 12431 cliques Tue Jan 27 14:03:58 2026 commencing in-memory singleton removal Tue Jan 27 14:04:00 2026 begin with 61608858 relations and 59729996 unique ideals Tue Jan 27 14:04:02 2026 reduce to 61608733 relations and 59630740 ideals in 4 passes Tue Jan 27 14:04:02 2026 max relations containing the same ideal: 74 Tue Jan 27 14:04:14 2026 relations with 0 large ideals: 5649 Tue Jan 27 14:04:14 2026 relations with 1 large ideals: 38695 Tue Jan 27 14:04:14 2026 relations with 2 large ideals: 509199 Tue Jan 27 14:04:14 2026 relations with 3 large ideals: 2859649 Tue Jan 27 14:04:14 2026 relations with 4 large ideals: 8581719 Tue Jan 27 14:04:14 2026 relations with 5 large ideals: 15230457 Tue Jan 27 14:04:14 2026 relations with 6 large ideals: 16760381 Tue Jan 27 14:04:14 2026 relations with 7+ large ideals: 17622984 Tue Jan 27 14:04:14 2026 commencing 2-way merge Tue Jan 27 14:05:00 2026 reduce to 38207280 relation sets and 36229287 unique ideals Tue Jan 27 14:05:00 2026 commencing full merge Tue Jan 27 14:21:37 2026 memory use: 4429.8 MB Tue Jan 27 14:21:41 2026 found 16505265 cycles, need 16423487 Tue Jan 27 14:21:47 2026 weight of 16423487 cycles is about 2135176403 (130.01/cycle) Tue Jan 27 14:21:47 2026 distribution of cycle lengths: Tue Jan 27 14:21:47 2026 1 relations: 1110447 Tue Jan 27 14:21:47 2026 2 relations: 1064082 Tue Jan 27 14:21:47 2026 3 relations: 1098543 Tue Jan 27 14:21:47 2026 4 relations: 1085773 Tue Jan 27 14:21:47 2026 5 relations: 1091142 Tue Jan 27 14:21:47 2026 6 relations: 1075528 Tue Jan 27 14:21:47 2026 7 relations: 1073137 Tue Jan 27 14:21:47 2026 8 relations: 1025765 Tue Jan 27 14:21:47 2026 9 relations: 982975 Tue Jan 27 14:21:47 2026 10+ relations: 6816095 Tue Jan 27 14:21:47 2026 heaviest cycle: 28 relations Tue Jan 27 14:21:52 2026 commencing cycle optimization Tue Jan 27 14:22:35 2026 start with 147995904 relations Tue Jan 27 14:28:38 2026 pruned 6541009 relations Tue Jan 27 14:28:38 2026 memory use: 4014.9 MB Tue Jan 27 14:28:39 2026 distribution of cycle lengths: Tue Jan 27 14:28:39 2026 1 relations: 1110447 Tue Jan 27 14:28:39 2026 2 relations: 1092139 Tue Jan 27 14:28:39 2026 3 relations: 1143159 Tue Jan 27 14:28:39 2026 4 relations: 1127991 Tue Jan 27 14:28:39 2026 5 relations: 1142336 Tue Jan 27 14:28:39 2026 6 relations: 1126461 Tue Jan 27 14:28:39 2026 7 relations: 1125277 Tue Jan 27 14:28:39 2026 8 relations: 1073922 Tue Jan 27 14:28:39 2026 9 relations: 1028107 Tue Jan 27 14:28:39 2026 10+ relations: 6453648 Tue Jan 27 14:28:39 2026 heaviest cycle: 28 relations Tue Jan 27 14:29:08 2026 RelProcTime: 7121 Tue Jan 27 14:29:08 2026 Tue Jan 27 14:29:08 2026 commencing linear algebra Tue Jan 27 14:29:08 2026 using VBITS=256 Tue Jan 27 14:29:08 2026 stopping after matrix build Tue Jan 27 14:29:10 2026 read 16423487 cycles Tue Jan 27 14:29:44 2026 cycles contain 60354145 unique relations Tue Jan 27 14:37:38 2026 read 60354145 relations Tue Jan 27 14:37:50 2026 using 20 quadratic characters above 4294917295 Tue Jan 27 14:38:00 2026 building initial matrix Tue Jan 27 14:56:43 2026 memory use: 8292.1 MB Tue Jan 27 14:56:53 2026 read 16423487 cycles Tue Jan 27 14:56:56 2026 matrix is 16423310 x 16423487 (8289.9 MB) with weight 2503301905 (152.42/col) Tue Jan 27 14:56:56 2026 sparse part has weight 1976059289 (120.32/col) Tue Jan 27 15:02:19 2026 filtering completed in 2 passes Tue Jan 27 15:02:23 2026 matrix is 16422544 x 16422719 (8289.8 MB) with weight 2503262029 (152.43/col) Tue Jan 27 15:02:23 2026 sparse part has weight 1976045988 (120.32/col) Tue Jan 27 15:03:31 2026 BLanczosTime: 2063 Tue Jan 27 15:03:31 2026 elapsed time 02:33:06 Tue Jan 27 15:12:21 2026 Tue Jan 27 15:12:21 2026 Tue Jan 27 15:12:21 2026 Msieve v. 1.54 (SVN Unversioned directory) Tue Jan 27 15:12:21 2026 random seeds: 31ea8edd 3b5d6ba2 Tue Jan 27 15:12:21 2026 Using 64 OpenMP threads Tue Jan 27 15:12:21 2026 factoring 5124984437715247526266133565580402983307306847451414410133304851281204066266199034382520973894957277347486077141945714494342090239676993389998718147652801595001348321964803241480483 (181 digits) Tue Jan 27 15:12:22 2026 searching for 15-digit factors Tue Jan 27 15:12:23 2026 commencing number field sieve (181-digit input) Tue Jan 27 15:12:23 2026 R0: -66784101179759639168820520058554320 Tue Jan 27 15:12:23 2026 R1: 29829415211122952713082567 Tue Jan 27 15:12:23 2026 A0: 619273109310641874396628740595233546688594 Tue Jan 27 15:12:23 2026 A1: -661881799751809837721617805467126595 Tue Jan 27 15:12:23 2026 A2: -325304427186234166305603371428 Tue Jan 27 15:12:23 2026 A3: 54674472469749102939545 Tue Jan 27 15:12:23 2026 A4: 5231370859133484 Tue Jan 27 15:12:23 2026 A5: 97952400 Tue Jan 27 15:12:23 2026 skew 10266137.70, size 1.126e-17, alpha -8.556, combined = 7.618e-14 rroots = 5 Tue Jan 27 15:12:23 2026 Tue Jan 27 15:12:23 2026 commencing linear algebra Tue Jan 27 15:12:23 2026 using VBITS=256 Tue Jan 27 15:12:23 2026 skipping matrix build Tue Jan 27 15:12:31 2026 matrix starts at (0, 0) Tue Jan 27 15:12:36 2026 matrix is 16422544 x 16422719 (8289.8 MB) with weight 2503262029 (152.43/col) Tue Jan 27 15:12:36 2026 sparse part has weight 1976045988 (120.32/col) Tue Jan 27 15:12:36 2026 saving the first 240 matrix rows for later Tue Jan 27 15:12:43 2026 matrix includes 256 packed rows Tue Jan 27 15:12:54 2026 matrix is 16422304 x 16422719 (7489.7 MB) with weight 1807597709 (110.07/col) Tue Jan 27 15:12:54 2026 sparse part has weight 1700620009 (103.55/col) Tue Jan 27 15:12:54 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Tue Jan 27 15:13:35 2026 commencing Lanczos iteration (64 threads) Tue Jan 27 15:13:35 2026 memory use: 10129.9 MB Tue Jan 27 15:16:25 2026 linear algebra at 0.2%, ETA 24h50m Tue Jan 27 15:20:28 2026 checking every 10000 dimensions, checkpointing every 680000 dimensions Wed Jan 28 14:59:17 2026 lanczos halted after 64341 iterations (dim = 16422302) Wed Jan 28 15:00:34 2026 recovered 26 nontrivial dependencies Wed Jan 28 15:00:35 2026 BLanczosTime: 85692 Wed Jan 28 15:00:35 2026 Wed Jan 28 15:00:35 2026 commencing square root phase Wed Jan 28 15:00:35 2026 handling dependencies 1 to 64 Wed Jan 28 15:00:35 2026 reading relations for dependency 1 Wed Jan 28 15:00:37 2026 read 8210843 cycles Wed Jan 28 15:00:51 2026 cycles contain 30175012 unique relations Wed Jan 28 15:08:48 2026 read 30175012 relations Wed Jan 28 15:11:27 2026 multiplying 30175012 relations Wed Jan 28 15:18:04 2026 multiply complete, coefficients have about 1961.23 million bits Wed Jan 28 15:18:11 2026 initial square root is modulo 627368321 Wed Jan 28 15:41:25 2026 GCD is N, no factor found Wed Jan 28 15:41:25 2026 reading relations for dependency 2 Wed Jan 28 15:41:28 2026 read 8210891 cycles Wed Jan 28 15:42:00 2026 cycles contain 30174338 unique relations Wed Jan 28 15:50:23 2026 read 30174338 relations Wed Jan 28 15:54:20 2026 multiplying 30174338 relations Wed Jan 28 16:00:38 2026 multiply complete, coefficients have about 1961.18 million bits Wed Jan 28 16:00:46 2026 initial square root is modulo 627080203 Wed Jan 28 16:24:21 2026 sqrtTime: 5026 Wed Jan 28 16:24:21 2026 p56 factor: 84706121205007296365503579816322867313349695685681156193 Wed Jan 28 16:24:21 2026 p125 factor: 60503117895242386378183631957856094352368867164469989822016792612006738115963887853677921782694350852166965792020834927894531 Wed Jan 28 16:24:21 2026 elapsed time 25:12:00