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- Mon Jun 06 21:10:42 2022
- Mon Jun 06 21:10:42 2022
- Mon Jun 06 21:10:42 2022 Msieve v. 1.53 (SVN 988)
- Mon Jun 06 21:10:42 2022 random seeds: 7e902ca0 1909ccce
- Mon Jun 06 21:10:42 2022 factoring 501012896841500378723255092314129180073740149906330837355907920846927334926672253916415482872301724040847616042276990031057586304104282639563142447887 (150 digits)
- Mon Jun 06 21:10:42 2022 searching for 15-digit factors
- Mon Jun 06 21:10:42 2022 commencing number field sieve (150-digit input)
- Mon Jun 06 21:10:42 2022 R0: -140228241739244132231242480094
- Mon Jun 06 21:10:42 2022 R1: 8456506074898463
- Mon Jun 06 21:10:42 2022 A0: 268057331779029723159284491388666415
- Mon Jun 06 21:10:42 2022 A1: 2607684134457323632637764107093
- Mon Jun 06 21:10:42 2022 A2: 4515590287057937369783636
- Mon Jun 06 21:10:42 2022 A3: 450993927280812559
- Mon Jun 06 21:10:42 2022 A4: -179577540247
- Mon Jun 06 21:10:42 2022 A5: 9240
- Mon Jun 06 21:10:42 2022 skew 4223731.60, size 1.504e-014, alpha -6.218, combined = 5.479e-012 rroots = 3
- Mon Jun 06 21:10:43 2022
- Mon Jun 06 21:10:43 2022 commencing relation filtering
- Mon Jun 06 21:10:43 2022 setting target matrix density to 130.0
- Mon Jun 06 21:10:43 2022 estimated available RAM is 16151.1 MB
- Mon Jun 06 21:10:43 2022 commencing duplicate removal, pass 1
- Mon Jun 06 21:14:32 2022 error -15 reading relation 25500688
- Mon Jun 06 21:14:39 2022 error -9 reading relation 26318190
- Mon Jun 06 21:18:05 2022 error -15 reading relation 46760727
- Mon Jun 06 21:21:44 2022 skipped 2 relations with composite factors
- Mon Jun 06 21:21:44 2022 found 10981846 hash collisions in 68750403 relations
- Mon Jun 06 21:22:14 2022 added 122297 free relations
- Mon Jun 06 21:22:14 2022 commencing duplicate removal, pass 2
- Mon Jun 06 21:22:57 2022 found 10658618 duplicates and 58214082 unique relations
- Mon Jun 06 21:22:57 2022 memory use: 394.4 MB
- Mon Jun 06 21:22:57 2022 reading ideals above 720000
- Mon Jun 06 21:22:57 2022 commencing singleton removal, initial pass
- Mon Jun 06 21:32:39 2022 memory use: 1378.0 MB
- Mon Jun 06 21:32:40 2022 reading all ideals from disk
- Mon Jun 06 21:32:44 2022 memory use: 2053.5 MB
- Mon Jun 06 21:32:50 2022 keeping 48347863 ideals with weight <= 200, target excess is 310770
- Mon Jun 06 21:32:57 2022 commencing in-memory singleton removal
- Mon Jun 06 21:33:03 2022 begin with 58214082 relations and 48347863 unique ideals
- Mon Jun 06 21:33:50 2022 reduce to 42402253 relations and 31245038 ideals in 11 passes
- Mon Jun 06 21:33:50 2022 max relations containing the same ideal: 171
- Mon Jun 06 21:34:12 2022 removing 6648907 relations and 4648907 ideals in 2000000 cliques
- Mon Jun 06 21:34:14 2022 commencing in-memory singleton removal
- Mon Jun 06 21:34:18 2022 begin with 35753346 relations and 31245038 unique ideals
- Mon Jun 06 21:34:40 2022 reduce to 34955037 relations and 25752896 ideals in 7 passes
- Mon Jun 06 21:34:40 2022 max relations containing the same ideal: 151
- Mon Jun 06 21:34:59 2022 removing 5559267 relations and 3559267 ideals in 2000000 cliques
- Mon Jun 06 21:35:01 2022 commencing in-memory singleton removal
- Mon Jun 06 21:35:04 2022 begin with 29395770 relations and 25752896 unique ideals
- Mon Jun 06 21:35:25 2022 reduce to 28820839 relations and 21587601 ideals in 8 passes
- Mon Jun 06 21:35:25 2022 max relations containing the same ideal: 134
- Mon Jun 06 21:35:40 2022 removing 5269737 relations and 3269737 ideals in 2000000 cliques
- Mon Jun 06 21:35:42 2022 commencing in-memory singleton removal
- Mon Jun 06 21:35:44 2022 begin with 23551102 relations and 21587601 unique ideals
- Mon Jun 06 21:36:00 2022 reduce to 22996997 relations and 17730470 ideals in 7 passes
- Mon Jun 06 21:36:00 2022 max relations containing the same ideal: 117
- Mon Jun 06 21:36:12 2022 removing 5132518 relations and 3132518 ideals in 2000000 cliques
- Mon Jun 06 21:36:13 2022 commencing in-memory singleton removal
- Mon Jun 06 21:36:15 2022 begin with 17864479 relations and 17730470 unique ideals
- Mon Jun 06 21:36:31 2022 reduce to 17254428 relations and 13943394 ideals in 10 passes
- Mon Jun 06 21:36:31 2022 max relations containing the same ideal: 97
- Mon Jun 06 21:36:40 2022 removing 5051807 relations and 3051807 ideals in 2000000 cliques
- Mon Jun 06 21:36:42 2022 commencing in-memory singleton removal
- Mon Jun 06 21:36:43 2022 begin with 12202621 relations and 13943394 unique ideals
- Mon Jun 06 21:36:50 2022 reduce to 11445854 relations and 10063162 ideals in 8 passes
- Mon Jun 06 21:36:50 2022 max relations containing the same ideal: 73
- Mon Jun 06 21:36:56 2022 removing 2835550 relations and 1813352 ideals in 1022198 cliques
- Mon Jun 06 21:36:57 2022 commencing in-memory singleton removal
- Mon Jun 06 21:36:58 2022 begin with 8610304 relations and 10063162 unique ideals
- Mon Jun 06 21:37:04 2022 reduce to 8114252 relations and 7712197 ideals in 8 passes
- Mon Jun 06 21:37:04 2022 max relations containing the same ideal: 57
- Mon Jun 06 21:37:08 2022 removing 221474 relations and 179913 ideals in 41561 cliques
- Mon Jun 06 21:37:09 2022 commencing in-memory singleton removal
- Mon Jun 06 21:37:09 2022 begin with 7892778 relations and 7712197 unique ideals
- Mon Jun 06 21:37:12 2022 reduce to 7887538 relations and 7527013 ideals in 5 passes
- Mon Jun 06 21:37:12 2022 max relations containing the same ideal: 56
- Mon Jun 06 21:37:14 2022 relations with 0 large ideals: 945
- Mon Jun 06 21:37:14 2022 relations with 1 large ideals: 6761
- Mon Jun 06 21:37:14 2022 relations with 2 large ideals: 84513
- Mon Jun 06 21:37:14 2022 relations with 3 large ideals: 461249
- Mon Jun 06 21:37:14 2022 relations with 4 large ideals: 1289269
- Mon Jun 06 21:37:14 2022 relations with 5 large ideals: 2089275
- Mon Jun 06 21:37:14 2022 relations with 6 large ideals: 2073671
- Mon Jun 06 21:37:14 2022 relations with 7+ large ideals: 1881855
- Mon Jun 06 21:37:14 2022 commencing 2-way merge
- Mon Jun 06 21:37:19 2022 reduce to 5287879 relation sets and 4927354 unique ideals
- Mon Jun 06 21:37:19 2022 commencing full merge
- Mon Jun 06 21:39:42 2022 memory use: 641.9 MB
- Mon Jun 06 21:39:43 2022 found 2313390 cycles, need 2299554
- Mon Jun 06 21:39:44 2022 weight of 2299554 cycles is about 299792792 (130.37/cycle)
- Mon Jun 06 21:39:44 2022 distribution of cycle lengths:
- Mon Jun 06 21:39:44 2022 1 relations: 47243
- Mon Jun 06 21:39:44 2022 2 relations: 107690
- Mon Jun 06 21:39:44 2022 3 relations: 142301
- Mon Jun 06 21:39:44 2022 4 relations: 156971
- Mon Jun 06 21:39:44 2022 5 relations: 169519
- Mon Jun 06 21:39:44 2022 6 relations: 170870
- Mon Jun 06 21:39:44 2022 7 relations: 172087
- Mon Jun 06 21:39:44 2022 8 relations: 163997
- Mon Jun 06 21:39:44 2022 9 relations: 154438
- Mon Jun 06 21:39:44 2022 10+ relations: 1014438
- Mon Jun 06 21:39:44 2022 heaviest cycle: 28 relations
- Mon Jun 06 21:39:45 2022 commencing cycle optimization
- Mon Jun 06 21:39:50 2022 start with 22095552 relations
- Mon Jun 06 21:41:01 2022 pruned 1255050 relations
- Mon Jun 06 21:41:01 2022 memory use: 552.0 MB
- Mon Jun 06 21:41:01 2022 distribution of cycle lengths:
- Mon Jun 06 21:41:01 2022 1 relations: 47243
- Mon Jun 06 21:41:01 2022 2 relations: 111136
- Mon Jun 06 21:41:01 2022 3 relations: 149369
- Mon Jun 06 21:41:01 2022 4 relations: 165740
- Mon Jun 06 21:41:01 2022 5 relations: 180452
- Mon Jun 06 21:41:01 2022 6 relations: 182174
- Mon Jun 06 21:41:01 2022 7 relations: 184293
- Mon Jun 06 21:41:01 2022 8 relations: 174422
- Mon Jun 06 21:41:01 2022 9 relations: 163707
- Mon Jun 06 21:41:01 2022 10+ relations: 941018
- Mon Jun 06 21:41:01 2022 heaviest cycle: 28 relations
- Mon Jun 06 21:41:05 2022 RelProcTime: 1822
- Mon Jun 06 21:41:05 2022
- Mon Jun 06 21:41:05 2022 commencing linear algebra
- Mon Jun 06 21:41:05 2022 read 2299554 cycles
- Mon Jun 06 21:41:12 2022 cycles contain 7709604 unique relations
- Mon Jun 06 21:42:18 2022 read 7709604 relations
- Mon Jun 06 21:42:35 2022 using 20 quadratic characters above 4294917295
- Mon Jun 06 21:43:20 2022 building initial matrix
- Mon Jun 06 21:45:43 2022 memory use: 1058.0 MB
- Mon Jun 06 21:45:46 2022 read 2299554 cycles
- Mon Jun 06 21:45:47 2022 matrix is 2299376 x 2299554 (1137.4 MB) with weight 349120886 (151.82/col)
- Mon Jun 06 21:45:47 2022 sparse part has weight 272867174 (118.66/col)
- Mon Jun 06 21:46:17 2022 filtering completed in 2 passes
- Mon Jun 06 21:46:17 2022 matrix is 2299331 x 2299509 (1137.4 MB) with weight 349118214 (151.82/col)
- Mon Jun 06 21:46:17 2022 sparse part has weight 272866120 (118.66/col)
- Mon Jun 06 21:46:29 2022 matrix starts at (0, 0)
- Mon Jun 06 21:46:29 2022 matrix is 2299331 x 2299509 (1137.4 MB) with weight 349118214 (151.82/col)
- Mon Jun 06 21:46:29 2022 sparse part has weight 272866120 (118.66/col)
- Mon Jun 06 21:46:29 2022 saving the first 48 matrix rows for later
- Mon Jun 06 21:46:30 2022 matrix includes 64 packed rows
- Mon Jun 06 21:46:31 2022 matrix is 2299283 x 2299509 (1108.4 MB) with weight 299214684 (130.12/col)
- Mon Jun 06 21:46:31 2022 sparse part has weight 267568739 (116.36/col)
- Mon Jun 06 21:46:31 2022 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
- Mon Jun 06 21:46:50 2022 commencing Lanczos iteration (6 threads)
- Mon Jun 06 21:46:50 2022 memory use: 910.3 MB
- Mon Jun 06 21:47:01 2022 linear algebra at 0.1%, ETA 4h12m
- Mon Jun 06 21:47:05 2022 checkpointing every 530000 dimensions
- Tue Jun 07 02:00:57 2022 lanczos halted after 36364 iterations (dim = 2299282)
- Tue Jun 07 02:01:00 2022 recovered 31 nontrivial dependencies
- Tue Jun 07 02:01:00 2022 BLanczosTime: 15595
- Tue Jun 07 02:01:00 2022
- Tue Jun 07 02:01:00 2022 commencing square root phase
- Tue Jun 07 02:01:00 2022 handling dependencies 1 to 64
- Tue Jun 07 02:01:00 2022 reading relations for dependency 1
- Tue Jun 07 02:01:01 2022 read 1149130 cycles
- Tue Jun 07 02:01:04 2022 cycles contain 3855084 unique relations
- Tue Jun 07 02:01:43 2022 read 3855084 relations
- Tue Jun 07 02:02:04 2022 multiplying 3855084 relations
- Tue Jun 07 02:05:40 2022 multiply complete, coefficients have about 187.32 million bits
- Tue Jun 07 02:05:41 2022 initial square root is modulo 5278073
- Tue Jun 07 02:09:57 2022 GCD is 1, no factor found
- Tue Jun 07 02:09:57 2022 reading relations for dependency 2
- Tue Jun 07 02:09:58 2022 read 1150176 cycles
- Tue Jun 07 02:10:00 2022 cycles contain 3855484 unique relations
- Tue Jun 07 02:10:38 2022 read 3855484 relations
- Tue Jun 07 02:11:00 2022 multiplying 3855484 relations
- Tue Jun 07 02:14:38 2022 multiply complete, coefficients have about 187.34 million bits
- Tue Jun 07 02:14:40 2022 initial square root is modulo 5285771
- Tue Jun 07 02:19:04 2022 sqrtTime: 1084
- Tue Jun 07 02:19:04 2022 p46 factor: 7468497230769347701046153505653358781365013169
- Tue Jun 07 02:19:04 2022 p104 factor: 67083495027270679732967287194116734076716970716417799507788617567508096964897152000061821805465127705023
- Tue Jun 07 02:19:04 2022 elapsed time 05:08:22
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