Thu Jun 26 00:51:10 2025 Thu Jun 26 00:51:10 2025 Thu Jun 26 00:51:10 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 26 00:51:10 2025 random seeds: 6bf9e5a9 59dcd289 Thu Jun 26 00:51:10 2025 MPI process 0 of 1 Thu Jun 26 00:51:10 2025 Using 32 OpenMP threads Thu Jun 26 00:51:10 2025 factoring 35656172779782684319323096915643378365623740135346022871965936525752182507916992970131894557671852863544278748305833356358781108727595486685719667747070346271945766511445873 (173 digits) Thu Jun 26 00:51:10 2025 searching for 15-digit factors Thu Jun 26 00:51:10 2025 commencing number field sieve (173-digit input) Thu Jun 26 00:51:10 2025 reversing signs of algebraic polynomial Thu Jun 26 00:51:10 2025 R0: -1800999441166657433412838803243557 Thu Jun 26 00:51:10 2025 R1: 111158090833447771274239 Thu Jun 26 00:51:10 2025 A0: 24115044527781913774089893079013931329230 Thu Jun 26 00:51:10 2025 A1: 54078763279951835433673416540526297 Thu Jun 26 00:51:10 2025 A2: 10172069754126844871456094798 Thu Jun 26 00:51:10 2025 A3: -5615224560495869588125 Thu Jun 26 00:51:10 2025 A4: 66947819011920 Thu Jun 26 00:51:10 2025 A5: 45158400 Thu Jun 26 00:51:10 2025 skew 5642578.04, size 8.266e-17, alpha -8.687, combined = 2.597e-13 rroots = 5 Thu Jun 26 00:51:10 2025 Thu Jun 26 00:51:10 2025 commencing relation filtering Thu Jun 26 00:51:10 2025 setting target matrix density to 140.0 Thu Jun 26 00:51:10 2025 reversing signs of algebraic polynomial Thu Jun 26 00:51:10 2025 estimated available RAM is 257736.5 MB Thu Jun 26 00:51:10 2025 commencing duplicate removal, pass 1 Thu Jun 26 01:00:05 2025 skipped 2 relations with composite factors Thu Jun 26 01:00:05 2025 skipped 245 malformed relations Thu Jun 26 01:00:05 2025 found 54193091 hash collisions in 292256917 relations Thu Jun 26 01:00:28 2025 added 122664 free relations Thu Jun 26 01:00:28 2025 commencing duplicate removal, pass 2 Thu Jun 26 01:05:36 2025 found 56536958 duplicates and 235842623 unique relations Thu Jun 26 01:05:36 2025 memory use: 1705.5 MB Thu Jun 26 01:05:36 2025 reading ideals above 720000 Thu Jun 26 01:05:36 2025 commencing singleton removal, initial pass Thu Jun 26 01:18:35 2025 memory use: 5512.0 MB Thu Jun 26 01:18:35 2025 reading all ideals from disk Thu Jun 26 01:18:40 2025 memory use: 11186.2 MB Thu Jun 26 01:19:08 2025 keeping 185219197 ideals with weight <= 200, target excess is 1206877 Thu Jun 26 01:19:42 2025 commencing in-memory singleton removal Thu Jun 26 01:19:46 2025 begin with 235842623 relations and 185219197 unique ideals Thu Jun 26 01:20:02 2025 reduce to 185200123 relations and 131226784 ideals in 11 passes Thu Jun 26 01:20:02 2025 max relations containing the same ideal: 181 Thu Jun 26 01:20:57 2025 removing 8599273 relations and 6599273 ideals in 2000000 cliques Thu Jun 26 01:21:03 2025 commencing in-memory singleton removal Thu Jun 26 01:21:06 2025 begin with 176600850 relations and 131226784 unique ideals Thu Jun 26 01:21:15 2025 reduce to 176266665 relations and 124288432 ideals in 7 passes Thu Jun 26 01:21:15 2025 max relations containing the same ideal: 174 Thu Jun 26 01:22:04 2025 removing 6716235 relations and 4716235 ideals in 2000000 cliques Thu Jun 26 01:22:09 2025 commencing in-memory singleton removal Thu Jun 26 01:22:12 2025 begin with 169550430 relations and 124288432 unique ideals Thu Jun 26 01:22:18 2025 reduce to 169323815 relations and 119342775 ideals in 6 passes Thu Jun 26 01:22:18 2025 max relations containing the same ideal: 172 Thu Jun 26 01:23:07 2025 removing 6187784 relations and 4187784 ideals in 2000000 cliques Thu Jun 26 01:23:11 2025 commencing in-memory singleton removal Thu Jun 26 01:23:14 2025 begin with 163136031 relations and 119342775 unique ideals Thu Jun 26 01:23:20 2025 reduce to 162942568 relations and 114959139 ideals in 6 passes Thu Jun 26 01:23:20 2025 max relations containing the same ideal: 170 Thu Jun 26 01:24:08 2025 removing 5913376 relations and 3913376 ideals in 2000000 cliques Thu Jun 26 01:24:13 2025 commencing in-memory singleton removal Thu Jun 26 01:24:15 2025 begin with 157029192 relations and 114959139 unique ideals Thu Jun 26 01:24:21 2025 reduce to 156852173 relations and 110866616 ideals in 6 passes Thu Jun 26 01:24:21 2025 max relations containing the same ideal: 165 Thu Jun 26 01:25:06 2025 removing 5741087 relations and 3741087 ideals in 2000000 cliques Thu Jun 26 01:25:11 2025 commencing in-memory singleton removal Thu Jun 26 01:25:13 2025 begin with 151111086 relations and 110866616 unique ideals Thu Jun 26 01:25:19 2025 reduce to 150944863 relations and 106957241 ideals in 6 passes Thu Jun 26 01:25:19 2025 max relations containing the same ideal: 162 Thu Jun 26 01:26:03 2025 removing 5614951 relations and 3614951 ideals in 2000000 cliques Thu Jun 26 01:26:07 2025 commencing in-memory singleton removal Thu Jun 26 01:26:10 2025 begin with 145329912 relations and 106957241 unique ideals Thu Jun 26 01:26:15 2025 reduce to 145169341 relations and 103179653 ideals in 6 passes Thu Jun 26 01:26:15 2025 max relations containing the same ideal: 158 Thu Jun 26 01:26:57 2025 removing 5521612 relations and 3521612 ideals in 2000000 cliques Thu Jun 26 01:27:01 2025 commencing in-memory singleton removal Thu Jun 26 01:27:03 2025 begin with 139647729 relations and 103179653 unique ideals Thu Jun 26 01:27:09 2025 reduce to 139490274 relations and 99498512 ideals in 6 passes Thu Jun 26 01:27:09 2025 max relations containing the same ideal: 153 Thu Jun 26 01:27:50 2025 removing 5447940 relations and 3447940 ideals in 2000000 cliques Thu Jun 26 01:27:54 2025 commencing in-memory singleton removal Thu Jun 26 01:27:56 2025 begin with 134042334 relations and 99498512 unique ideals Thu Jun 26 01:28:01 2025 reduce to 133887074 relations and 95893038 ideals in 6 passes Thu Jun 26 01:28:01 2025 max relations containing the same ideal: 148 Thu Jun 26 01:28:40 2025 removing 5391861 relations and 3391861 ideals in 2000000 cliques Thu Jun 26 01:28:44 2025 commencing in-memory singleton removal Thu Jun 26 01:28:46 2025 begin with 128495213 relations and 95893038 unique ideals Thu Jun 26 01:28:50 2025 reduce to 128339210 relations and 92342930 ideals in 6 passes Thu Jun 26 01:28:50 2025 max relations containing the same ideal: 147 Thu Jun 26 01:29:28 2025 removing 5350192 relations and 3350192 ideals in 2000000 cliques Thu Jun 26 01:29:31 2025 commencing in-memory singleton removal Thu Jun 26 01:29:33 2025 begin with 122989018 relations and 92342930 unique ideals Thu Jun 26 01:29:36 2025 reduce to 122831513 relations and 88832752 ideals in 5 passes Thu Jun 26 01:29:36 2025 max relations containing the same ideal: 140 Thu Jun 26 01:30:13 2025 removing 5315491 relations and 3315491 ideals in 2000000 cliques Thu Jun 26 01:30:17 2025 commencing in-memory singleton removal Thu Jun 26 01:30:18 2025 begin with 117516022 relations and 88832752 unique ideals Thu Jun 26 01:30:23 2025 reduce to 117355779 relations and 85354532 ideals in 6 passes Thu Jun 26 01:30:23 2025 max relations containing the same ideal: 136 Thu Jun 26 01:30:57 2025 removing 5292556 relations and 3292556 ideals in 2000000 cliques Thu Jun 26 01:31:00 2025 commencing in-memory singleton removal Thu Jun 26 01:31:02 2025 begin with 112063223 relations and 85354532 unique ideals Thu Jun 26 01:31:05 2025 reduce to 111899024 relations and 81895179 ideals in 5 passes Thu Jun 26 01:31:05 2025 max relations containing the same ideal: 133 Thu Jun 26 01:31:37 2025 removing 5273908 relations and 3273908 ideals in 2000000 cliques Thu Jun 26 01:31:41 2025 commencing in-memory singleton removal Thu Jun 26 01:31:42 2025 begin with 106625116 relations and 81895179 unique ideals Thu Jun 26 01:31:46 2025 reduce to 106455368 relations and 78448596 ideals in 6 passes Thu Jun 26 01:31:46 2025 max relations containing the same ideal: 127 Thu Jun 26 01:32:17 2025 removing 5263060 relations and 3263060 ideals in 2000000 cliques Thu Jun 26 01:32:21 2025 commencing in-memory singleton removal Thu Jun 26 01:32:22 2025 begin with 101192308 relations and 78448596 unique ideals Thu Jun 26 01:32:26 2025 reduce to 101016045 relations and 75006286 ideals in 6 passes Thu Jun 26 01:32:26 2025 max relations containing the same ideal: 125 Thu Jun 26 01:32:55 2025 removing 5259224 relations and 3259224 ideals in 2000000 cliques Thu Jun 26 01:32:58 2025 commencing in-memory singleton removal Thu Jun 26 01:32:59 2025 begin with 95756821 relations and 75006286 unique ideals Thu Jun 26 01:33:02 2025 reduce to 95572459 relations and 71559183 ideals in 5 passes Thu Jun 26 01:33:02 2025 max relations containing the same ideal: 120 Thu Jun 26 01:33:30 2025 removing 5261048 relations and 3261048 ideals in 2000000 cliques Thu Jun 26 01:33:33 2025 commencing in-memory singleton removal Thu Jun 26 01:33:34 2025 begin with 90311411 relations and 71559183 unique ideals Thu Jun 26 01:33:37 2025 reduce to 90116287 relations and 68099201 ideals in 7 passes Thu Jun 26 01:33:37 2025 max relations containing the same ideal: 116 Thu Jun 26 01:34:04 2025 removing 5275288 relations and 3275288 ideals in 2000000 cliques Thu Jun 26 01:34:07 2025 commencing in-memory singleton removal Thu Jun 26 01:34:08 2025 begin with 84840999 relations and 68099201 unique ideals Thu Jun 26 01:34:11 2025 reduce to 84633118 relations and 64611789 ideals in 6 passes Thu Jun 26 01:34:11 2025 max relations containing the same ideal: 110 Thu Jun 26 01:34:37 2025 removing 5290924 relations and 3290924 ideals in 2000000 cliques Thu Jun 26 01:34:39 2025 commencing in-memory singleton removal Thu Jun 26 01:34:40 2025 begin with 79342194 relations and 64611789 unique ideals Thu Jun 26 01:34:43 2025 reduce to 79120419 relations and 61094257 ideals in 6 passes Thu Jun 26 01:34:43 2025 max relations containing the same ideal: 104 Thu Jun 26 01:35:08 2025 removing 5321337 relations and 3321337 ideals in 2000000 cliques Thu Jun 26 01:35:10 2025 commencing in-memory singleton removal Thu Jun 26 01:35:11 2025 begin with 73799082 relations and 61094257 unique ideals Thu Jun 26 01:35:14 2025 reduce to 73557641 relations and 57525995 ideals in 6 passes Thu Jun 26 01:35:14 2025 max relations containing the same ideal: 101 Thu Jun 26 01:35:37 2025 removing 5360811 relations and 3360811 ideals in 2000000 cliques Thu Jun 26 01:35:39 2025 commencing in-memory singleton removal Thu Jun 26 01:35:40 2025 begin with 68196830 relations and 57525995 unique ideals Thu Jun 26 01:35:43 2025 reduce to 67930964 relations and 53892837 ideals in 6 passes Thu Jun 26 01:35:43 2025 max relations containing the same ideal: 94 Thu Jun 26 01:36:04 2025 removing 5412853 relations and 3412853 ideals in 2000000 cliques Thu Jun 26 01:36:06 2025 commencing in-memory singleton removal Thu Jun 26 01:36:07 2025 begin with 62518111 relations and 53892837 unique ideals Thu Jun 26 01:36:09 2025 reduce to 62221666 relations and 50175820 ideals in 6 passes Thu Jun 26 01:36:09 2025 max relations containing the same ideal: 90 Thu Jun 26 01:36:28 2025 removing 5481408 relations and 3481408 ideals in 2000000 cliques Thu Jun 26 01:36:31 2025 commencing in-memory singleton removal Thu Jun 26 01:36:31 2025 begin with 56740258 relations and 50175820 unique ideals Thu Jun 26 01:36:33 2025 reduce to 56404609 relations and 46349219 ideals in 7 passes Thu Jun 26 01:36:33 2025 max relations containing the same ideal: 84 Thu Jun 26 01:36:51 2025 removing 5571307 relations and 3571307 ideals in 2000000 cliques Thu Jun 26 01:36:53 2025 commencing in-memory singleton removal Thu Jun 26 01:36:54 2025 begin with 50833302 relations and 46349219 unique ideals Thu Jun 26 01:36:56 2025 reduce to 50443921 relations and 42376611 ideals in 7 passes Thu Jun 26 01:36:56 2025 max relations containing the same ideal: 76 Thu Jun 26 01:37:12 2025 removing 5694122 relations and 3694122 ideals in 2000000 cliques Thu Jun 26 01:37:14 2025 commencing in-memory singleton removal Thu Jun 26 01:37:14 2025 begin with 44749799 relations and 42376611 unique ideals Thu Jun 26 01:37:16 2025 reduce to 44286918 relations and 38203829 ideals in 8 passes Thu Jun 26 01:37:16 2025 max relations containing the same ideal: 69 Thu Jun 26 01:37:31 2025 removing 5850951 relations and 3850951 ideals in 2000000 cliques Thu Jun 26 01:37:33 2025 commencing in-memory singleton removal Thu Jun 26 01:37:33 2025 begin with 38435967 relations and 38203829 unique ideals Thu Jun 26 01:37:35 2025 reduce to 37862432 relations and 33757643 ideals in 8 passes Thu Jun 26 01:37:35 2025 max relations containing the same ideal: 63 Thu Jun 26 01:37:48 2025 removing 6063673 relations and 4063673 ideals in 2000000 cliques Thu Jun 26 01:37:50 2025 commencing in-memory singleton removal Thu Jun 26 01:37:51 2025 begin with 31798759 relations and 33757643 unique ideals Thu Jun 26 01:37:52 2025 reduce to 31049332 relations and 28911383 ideals in 9 passes Thu Jun 26 01:37:52 2025 max relations containing the same ideal: 58 Thu Jun 26 01:38:04 2025 removing 2844692 relations and 2106721 ideals in 737971 cliques Thu Jun 26 01:38:05 2025 commencing in-memory singleton removal Thu Jun 26 01:38:06 2025 begin with 28204640 relations and 28911383 unique ideals Thu Jun 26 01:38:07 2025 reduce to 27980632 relations and 26575852 ideals in 7 passes Thu Jun 26 01:38:07 2025 max relations containing the same ideal: 52 Thu Jun 26 01:38:20 2025 relations with 0 large ideals: 4116 Thu Jun 26 01:38:20 2025 relations with 1 large ideals: 37253 Thu Jun 26 01:38:20 2025 relations with 2 large ideals: 438107 Thu Jun 26 01:38:20 2025 relations with 3 large ideals: 2115070 Thu Jun 26 01:38:20 2025 relations with 4 large ideals: 5316019 Thu Jun 26 01:38:20 2025 relations with 5 large ideals: 7751573 Thu Jun 26 01:38:20 2025 relations with 6 large ideals: 6926258 Thu Jun 26 01:38:20 2025 relations with 7+ large ideals: 5392236 Thu Jun 26 01:38:20 2025 commencing 2-way merge Thu Jun 26 01:38:35 2025 reduce to 17866584 relation sets and 16461804 unique ideals Thu Jun 26 01:38:35 2025 commencing full merge Thu Jun 26 01:46:14 2025 memory use: 2055.5 MB Thu Jun 26 01:46:17 2025 found 7602070 cycles, need 7534004 Thu Jun 26 01:46:20 2025 weight of 7534004 cycles is about 1055654149 (140.12/cycle) Thu Jun 26 01:46:20 2025 distribution of cycle lengths: Thu Jun 26 01:46:20 2025 1 relations: 306968 Thu Jun 26 01:46:20 2025 2 relations: 389028 Thu Jun 26 01:46:20 2025 3 relations: 434219 Thu Jun 26 01:46:20 2025 4 relations: 453855 Thu Jun 26 01:46:20 2025 5 relations: 478194 Thu Jun 26 01:46:20 2025 6 relations: 487810 Thu Jun 26 01:46:20 2025 7 relations: 496346 Thu Jun 26 01:46:20 2025 8 relations: 489244 Thu Jun 26 01:46:20 2025 9 relations: 476136 Thu Jun 26 01:46:20 2025 10+ relations: 3522204 Thu Jun 26 01:46:20 2025 heaviest cycle: 28 relations Thu Jun 26 01:46:24 2025 commencing cycle optimization Thu Jun 26 01:46:55 2025 start with 73714697 relations Thu Jun 26 01:50:35 2025 pruned 4014561 relations Thu Jun 26 01:50:35 2025 memory use: 1888.2 MB Thu Jun 26 01:50:35 2025 distribution of cycle lengths: Thu Jun 26 01:50:35 2025 1 relations: 306968 Thu Jun 26 01:50:35 2025 2 relations: 399634 Thu Jun 26 01:50:35 2025 3 relations: 453705 Thu Jun 26 01:50:35 2025 4 relations: 475333 Thu Jun 26 01:50:35 2025 5 relations: 505865 Thu Jun 26 01:50:35 2025 6 relations: 516695 Thu Jun 26 01:50:35 2025 7 relations: 530612 Thu Jun 26 01:50:35 2025 8 relations: 522313 Thu Jun 26 01:50:35 2025 9 relations: 509471 Thu Jun 26 01:50:35 2025 10+ relations: 3313408 Thu Jun 26 01:50:35 2025 heaviest cycle: 28 relations Thu Jun 26 01:50:56 2025 RelProcTime: 3586 Thu Jun 26 01:50:56 2025 Thu Jun 26 01:50:56 2025 commencing linear algebra Thu Jun 26 01:50:56 2025 using VBITS=256 Thu Jun 26 01:50:56 2025 stopping after matrix build Thu Jun 26 01:50:56 2025 initialized process (0,0) of 1 x 1 grid Thu Jun 26 01:50:56 2025 reversing signs of algebraic polynomial Thu Jun 26 01:50:57 2025 read 7534004 cycles Thu Jun 26 01:51:21 2025 cycles contain 27218306 unique relations Thu Jun 26 01:56:24 2025 read 27218306 relations Thu Jun 26 01:56:27 2025 using 20 quadratic characters above 4294917295 Thu Jun 26 01:56:31 2025 building initial matrix Thu Jun 26 02:04:57 2025 memory use: 3811.4 MB Thu Jun 26 02:05:07 2025 read 7534004 cycles Thu Jun 26 02:05:09 2025 matrix is 7533826 x 7534004 (4027.2 MB) with weight 1221697280 (162.16/col) Thu Jun 26 02:05:09 2025 sparse part has weight 965289750 (128.12/col) Thu Jun 26 02:07:50 2025 filtering completed in 2 passes Thu Jun 26 02:07:53 2025 matrix is 7533572 x 7533748 (4027.1 MB) with weight 1221681600 (162.16/col) Thu Jun 26 02:07:53 2025 sparse part has weight 965283108 (128.13/col) Thu Jun 26 02:08:52 2025 BLanczosTime: 1076 Thu Jun 26 02:08:52 2025 elapsed time 01:17:42 Thu Jun 26 20:03:25 2025 Thu Jun 26 20:03:25 2025 Thu Jun 26 20:03:25 2025 Msieve v. 1.54 (SVN Unversioned directory) Thu Jun 26 20:03:25 2025 random seeds: 986b1b7d e46d9286 Thu Jun 26 20:03:25 2025 MPI process 0 of 1 Thu Jun 26 20:03:25 2025 Using 64 OpenMP threads Thu Jun 26 20:03:25 2025 factoring 35656172779782684319323096915643378365623740135346022871965936525752182507916992970131894557671852863544278748305833356358781108727595486685719667747070346271945766511445873 (173 digits) Thu Jun 26 20:03:26 2025 searching for 15-digit factors Thu Jun 26 20:03:26 2025 commencing number field sieve (173-digit input) Thu Jun 26 20:03:26 2025 reversing signs of algebraic polynomial Thu Jun 26 20:03:26 2025 R0: -1800999441166657433412838803243557 Thu Jun 26 20:03:26 2025 R1: 111158090833447771274239 Thu Jun 26 20:03:26 2025 A0: 24115044527781913774089893079013931329230 Thu Jun 26 20:03:26 2025 A1: 54078763279951835433673416540526297 Thu Jun 26 20:03:26 2025 A2: 10172069754126844871456094798 Thu Jun 26 20:03:26 2025 A3: -5615224560495869588125 Thu Jun 26 20:03:26 2025 A4: 66947819011920 Thu Jun 26 20:03:26 2025 A5: 45158400 Thu Jun 26 20:03:26 2025 skew 5642578.04, size 8.266e-17, alpha -8.687, combined = 2.597e-13 rroots = 5 Thu Jun 26 20:03:26 2025 Thu Jun 26 20:03:26 2025 commencing linear algebra Thu Jun 26 20:03:26 2025 using VBITS=256 Thu Jun 26 20:03:26 2025 skipping matrix build Thu Jun 26 20:03:26 2025 initialized process (0,0) of 1 x 1 grid Thu Jun 26 20:03:30 2025 matrix starts at (0, 0) Thu Jun 26 20:03:31 2025 matrix is 7533572 x 7533748 (4027.1 MB) with weight 1221681600 (162.16/col) Thu Jun 26 20:03:31 2025 sparse part has weight 965283108 (128.13/col) Thu Jun 26 20:03:31 2025 saving the first 240 matrix rows for later Thu Jun 26 20:03:34 2025 matrix includes 256 packed rows Thu Jun 26 20:03:36 2025 matrix is 7533332 x 7533748 (3620.6 MB) with weight 883609073 (117.29/col) Thu Jun 26 20:03:36 2025 sparse part has weight 828584309 (109.98/col) Thu Jun 26 20:03:36 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB Thu Jun 26 20:03:53 2025 commencing Lanczos iteration (64 threads) Thu Jun 26 20:03:53 2025 memory use: 5013.3 MB Thu Jun 26 20:05:00 2025 linear algebra at 0.4%, ETA 4h29m Thu Jun 26 20:06:44 2025 checking every 20000 dimensions, checkpointing every 1640000 dimensions Fri Jun 27 00:34:17 2025 lanczos halted after 29517 iterations (dim = 7533332) Fri Jun 27 00:34:43 2025 recovered 28 nontrivial dependencies Fri Jun 27 00:34:43 2025 BLanczosTime: 16277 Fri Jun 27 00:34:43 2025 Fri Jun 27 00:34:43 2025 commencing square root phase Fri Jun 27 00:34:43 2025 reversing signs of algebraic polynomial Fri Jun 27 00:34:43 2025 handling dependencies 1 to 64 Fri Jun 27 00:34:43 2025 reading relations for dependency 1 Fri Jun 27 00:34:44 2025 read 3767304 cycles Fri Jun 27 00:34:50 2025 cycles contain 13608468 unique relations Fri Jun 27 00:38:29 2025 read 13608468 relations Fri Jun 27 00:39:17 2025 multiplying 13608468 relations Fri Jun 27 00:40:47 2025 multiply complete, coefficients have about 851.61 million bits Fri Jun 27 00:40:49 2025 initial square root is modulo 43678331 Fri Jun 27 00:45:37 2025 GCD is N, no factor found Fri Jun 27 00:45:37 2025 reading relations for dependency 2 Fri Jun 27 00:45:38 2025 read 3766730 cycles Fri Jun 27 00:45:44 2025 cycles contain 13607386 unique relations Fri Jun 27 00:49:23 2025 read 13607386 relations Fri Jun 27 00:50:10 2025 multiplying 13607386 relations Fri Jun 27 00:51:37 2025 multiply complete, coefficients have about 851.55 million bits Fri Jun 27 00:51:39 2025 initial square root is modulo 43618231 Fri Jun 27 00:56:26 2025 GCD is N, no factor found Fri Jun 27 00:56:26 2025 reading relations for dependency 3 Fri Jun 27 00:56:27 2025 read 3766534 cycles Fri Jun 27 00:56:32 2025 cycles contain 13611526 unique relations Fri Jun 27 01:00:10 2025 read 13611526 relations Fri Jun 27 01:00:56 2025 multiplying 13611526 relations Fri Jun 27 01:02:24 2025 multiply complete, coefficients have about 851.80 million bits Fri Jun 27 01:02:26 2025 initial square root is modulo 43847077 Fri Jun 27 01:08:20 2025 GCD is N, no factor found Fri Jun 27 01:08:20 2025 reading relations for dependency 4 Fri Jun 27 01:08:21 2025 read 3766972 cycles Fri Jun 27 01:08:33 2025 cycles contain 13611754 unique relations Fri Jun 27 01:12:54 2025 read 13611754 relations Fri Jun 27 01:14:19 2025 multiplying 13611754 relations Fri Jun 27 01:16:32 2025 multiply complete, coefficients have about 851.82 million bits Fri Jun 27 01:16:35 2025 initial square root is modulo 43862627 Fri Jun 27 01:24:25 2025 sqrtTime: 2982 Fri Jun 27 01:24:25 2025 p67 factor: 8086182219861808186570897302929016395932596440950478241740575066471 Fri Jun 27 01:24:25 2025 p106 factor: 4409518832286720805941296017858073120189400288902880593328963712397840261686840992007837428691051807484263 Fri Jun 27 01:24:25 2025 elapsed time 05:21:00