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Sun Jun 13 11:50:25 2021  
Sun Jun 13 11:50:25 2021  
Sun Jun 13 11:50:25 2021  Msieve v. 1.54 (SVN 1025)
Sun Jun 13 11:50:25 2021  random seeds: 562d23f6 cdc9f66a
Sun Jun 13 11:50:25 2021  factoring 372955720404756680934344667473617512055936489932557982918212685959195395671193668276052814493583483405426866565043251443244686701330419349769805867024872896964213717879884803046549628289676261 (192 digits)
Sun Jun 13 11:50:26 2021  searching for 15-digit factors
Sun Jun 13 11:50:26 2021  commencing number field sieve (192-digit input)
Sun Jun 13 11:50:26 2021  R0: 197497878855069348178855907700459528650
Sun Jun 13 11:50:26 2021  R1: -14053393855402663843
Sun Jun 13 11:50:26 2021  A0: -1
Sun Jun 13 11:50:26 2021  A1: 3
Sun Jun 13 11:50:26 2021  A2: 6
Sun Jun 13 11:50:26 2021  A3: -4
Sun Jun 13 11:50:26 2021  A4: -5
Sun Jun 13 11:50:26 2021  A5: 1
Sun Jun 13 11:50:26 2021  A6: 1
Sun Jun 13 11:50:26 2021  skew 1.00, size 2.577e-11, alpha 3.126, combined = 1.243e-12 rroots = 6
Sun Jun 13 11:50:26 2021  
Sun Jun 13 11:50:26 2021  commencing relation filtering
Sun Jun 13 11:50:26 2021  setting target matrix density to 120.0
Sun Jun 13 11:50:26 2021  estimated available RAM is 15984.6 MB
Sun Jun 13 11:50:26 2021  commencing duplicate removal, pass 1
Sun Jun 13 11:55:42 2021  error -15 reading relation 34446640
Sun Jun 13 12:05:10 2021  error -15 reading relation 92530101
Sun Jun 13 12:09:43 2021  skipped 9 relations with b > 2^32
Sun Jun 13 12:09:43 2021  skipped 3 relations with composite factors
Sun Jun 13 12:09:43 2021  found 5786828 hash collisions in 115492339 relations
Sun Jun 13 12:09:43 2021  commencing duplicate removal, pass 2
Sun Jun 13 12:10:27 2021  found 0 duplicates and 115492339 unique relations
Sun Jun 13 12:10:27 2021  memory use: 378.4 MB
Sun Jun 13 12:10:27 2021  reading ideals above 91684864
Sun Jun 13 12:10:27 2021  commencing singleton removal, initial pass
Sun Jun 13 12:24:45 2021  memory use: 2756.0 MB
Sun Jun 13 12:24:45 2021  reading all ideals from disk
Sun Jun 13 12:24:47 2021  memory use: 1912.4 MB
Sun Jun 13 12:24:52 2021  commencing in-memory singleton removal
Sun Jun 13 12:24:57 2021  begin with 115492339 relations and 83927248 unique ideals
Sun Jun 13 12:25:45 2021  reduce to 85935839 relations and 52044816 ideals in 11 passes
Sun Jun 13 12:25:45 2021  max relations containing the same ideal: 50
Sun Jun 13 12:25:49 2021  reading ideals above 720000
Sun Jun 13 12:25:50 2021  commencing singleton removal, initial pass
Sun Jun 13 12:39:22 2021  memory use: 1506.0 MB
Sun Jun 13 12:39:22 2021  reading all ideals from disk
Sun Jun 13 12:39:29 2021  memory use: 3228.9 MB
Sun Jun 13 12:39:40 2021  keeping 62218249 ideals with weight <= 200, target excess is 444821
Sun Jun 13 12:39:52 2021  commencing in-memory singleton removal
Sun Jun 13 12:40:01 2021  begin with 85935840 relations and 62218249 unique ideals
Sun Jun 13 12:40:27 2021  reduce to 85935568 relations and 62217976 ideals in 3 passes
Sun Jun 13 12:40:27 2021  max relations containing the same ideal: 200
Sun Jun 13 12:41:08 2021  removing 7578690 relations and 5578690 ideals in 2000000 cliques
Sun Jun 13 12:41:11 2021  commencing in-memory singleton removal
Sun Jun 13 12:41:20 2021  begin with 78356878 relations and 62217976 unique ideals
Sun Jun 13 12:42:15 2021  reduce to 77805946 relations and 56072752 ideals in 7 passes
Sun Jun 13 12:42:15 2021  max relations containing the same ideal: 196
Sun Jun 13 12:42:52 2021  removing 6169889 relations and 4169889 ideals in 2000000 cliques
Sun Jun 13 12:42:54 2021  commencing in-memory singleton removal
Sun Jun 13 12:43:00 2021  begin with 71636057 relations and 56072752 unique ideals
Sun Jun 13 12:43:31 2021  reduce to 71256341 relations and 51513217 ideals in 6 passes
Sun Jun 13 12:43:31 2021  max relations containing the same ideal: 187
Sun Jun 13 12:43:55 2021  removing 5760046 relations and 3760046 ideals in 2000000 cliques
Sun Jun 13 12:43:56 2021  commencing in-memory singleton removal
Sun Jun 13 12:44:01 2021  begin with 65496295 relations and 51513217 unique ideals
Sun Jun 13 12:44:28 2021  reduce to 65163727 relations and 47411728 ideals in 6 passes
Sun Jun 13 12:44:28 2021  max relations containing the same ideal: 176
Sun Jun 13 12:44:49 2021  removing 5539290 relations and 3539290 ideals in 2000000 cliques
Sun Jun 13 12:44:51 2021  commencing in-memory singleton removal
Sun Jun 13 12:44:55 2021  begin with 59624437 relations and 47411728 unique ideals
Sun Jun 13 12:45:19 2021  reduce to 59306802 relations and 43545998 ideals in 6 passes
Sun Jun 13 12:45:19 2021  max relations containing the same ideal: 166
Sun Jun 13 12:45:40 2021  removing 5406587 relations and 3406587 ideals in 2000000 cliques
Sun Jun 13 12:45:41 2021  commencing in-memory singleton removal
Sun Jun 13 12:45:45 2021  begin with 53900215 relations and 43545998 unique ideals
Sun Jun 13 12:46:08 2021  reduce to 53588715 relations and 39818504 ideals in 7 passes
Sun Jun 13 12:46:08 2021  max relations containing the same ideal: 157
Sun Jun 13 12:46:28 2021  removing 5314117 relations and 3314117 ideals in 2000000 cliques
Sun Jun 13 12:46:29 2021  commencing in-memory singleton removal
Sun Jun 13 12:46:33 2021  begin with 48274598 relations and 39818504 unique ideals
Sun Jun 13 12:46:56 2021  reduce to 47957663 relations and 36177240 ideals in 7 passes
Sun Jun 13 12:46:56 2021  max relations containing the same ideal: 144
Sun Jun 13 12:47:14 2021  removing 5246596 relations and 3246596 ideals in 2000000 cliques
Sun Jun 13 12:47:15 2021  commencing in-memory singleton removal
Sun Jun 13 12:47:18 2021  begin with 42711067 relations and 36177240 unique ideals
Sun Jun 13 12:47:36 2021  reduce to 42380452 relations and 32588272 ideals in 6 passes
Sun Jun 13 12:47:36 2021  max relations containing the same ideal: 137
Sun Jun 13 12:47:51 2021  removing 5200046 relations and 3200046 ideals in 2000000 cliques
Sun Jun 13 12:47:53 2021  commencing in-memory singleton removal
Sun Jun 13 12:47:55 2021  begin with 37180406 relations and 32588272 unique ideals
Sun Jun 13 12:48:09 2021  reduce to 36827199 relations and 29021221 ideals in 6 passes
Sun Jun 13 12:48:09 2021  max relations containing the same ideal: 121
Sun Jun 13 12:48:21 2021  removing 5162735 relations and 3162735 ideals in 2000000 cliques
Sun Jun 13 12:48:22 2021  commencing in-memory singleton removal
Sun Jun 13 12:48:24 2021  begin with 31664464 relations and 29021221 unique ideals
Sun Jun 13 12:48:35 2021  reduce to 31278586 relations and 25455194 ideals in 6 passes
Sun Jun 13 12:48:35 2021  max relations containing the same ideal: 110
Sun Jun 13 12:48:46 2021  removing 5130436 relations and 3130436 ideals in 2000000 cliques
Sun Jun 13 12:48:47 2021  commencing in-memory singleton removal
Sun Jun 13 12:48:48 2021  begin with 26148150 relations and 25455194 unique ideals
Sun Jun 13 12:48:58 2021  reduce to 25714772 relations and 21868792 ideals in 6 passes
Sun Jun 13 12:48:58 2021  max relations containing the same ideal: 94
Sun Jun 13 12:49:06 2021  removing 5096636 relations and 3096636 ideals in 2000000 cliques
Sun Jun 13 12:49:08 2021  commencing in-memory singleton removal
Sun Jun 13 12:49:09 2021  begin with 20618136 relations and 21868792 unique ideals
Sun Jun 13 12:49:18 2021  reduce to 20098396 relations and 18220158 ideals in 8 passes
Sun Jun 13 12:49:18 2021  max relations containing the same ideal: 76
Sun Jun 13 12:49:25 2021  removing 3646423 relations and 2284178 ideals in 1362246 cliques
Sun Jun 13 12:49:26 2021  commencing in-memory singleton removal
Sun Jun 13 12:49:27 2021  begin with 16451973 relations and 18220158 unique ideals
Sun Jun 13 12:49:35 2021  reduce to 16019032 relations and 15477290 ideals in 8 passes
Sun Jun 13 12:49:35 2021  max relations containing the same ideal: 68
Sun Jun 13 12:49:40 2021  removing 135865 relations and 110116 ideals in 25749 cliques
Sun Jun 13 12:49:41 2021  commencing in-memory singleton removal
Sun Jun 13 12:49:42 2021  begin with 15883167 relations and 15477290 unique ideals
Sun Jun 13 12:49:46 2021  reduce to 15882043 relations and 15366046 ideals in 5 passes
Sun Jun 13 12:49:46 2021  max relations containing the same ideal: 68
Sun Jun 13 12:49:49 2021  relations with 0 large ideals: 33368
Sun Jun 13 12:49:49 2021  relations with 1 large ideals: 9769
Sun Jun 13 12:49:49 2021  relations with 2 large ideals: 94567
Sun Jun 13 12:49:49 2021  relations with 3 large ideals: 569237
Sun Jun 13 12:49:49 2021  relations with 4 large ideals: 1837399
Sun Jun 13 12:49:49 2021  relations with 5 large ideals: 3501941
Sun Jun 13 12:49:49 2021  relations with 6 large ideals: 4157220
Sun Jun 13 12:49:49 2021  relations with 7+ large ideals: 5678542
Sun Jun 13 12:49:49 2021  commencing 2-way merge
Sun Jun 13 12:49:56 2021  reduce to 11341231 relation sets and 10825234 unique ideals
Sun Jun 13 12:49:56 2021  commencing full merge
Sun Jun 13 12:53:42 2021  memory use: 1453.1 MB
Sun Jun 13 12:53:43 2021  found 5017721 cycles, need 5013434
Sun Jun 13 12:53:44 2021  weight of 5013434 cycles is about 602241537 (120.13/cycle)
Sun Jun 13 12:53:44 2021  distribution of cycle lengths:
Sun Jun 13 12:53:45 2021  1 relations: 145081
Sun Jun 13 12:53:45 2021  2 relations: 240801
Sun Jun 13 12:53:45 2021  3 relations: 317221
Sun Jun 13 12:53:45 2021  4 relations: 354974
Sun Jun 13 12:53:45 2021  5 relations: 379897
Sun Jun 13 12:53:45 2021  6 relations: 386929
Sun Jun 13 12:53:45 2021  7 relations: 382974
Sun Jun 13 12:53:45 2021  8 relations: 367571
Sun Jun 13 12:53:45 2021  9 relations: 340765
Sun Jun 13 12:53:45 2021  10+ relations: 2097221
Sun Jun 13 12:53:45 2021  heaviest cycle: 28 relations
Sun Jun 13 12:53:46 2021  commencing cycle optimization
Sun Jun 13 12:53:55 2021  start with 46672707 relations
Sun Jun 13 12:55:19 2021  pruned 2692336 relations
Sun Jun 13 12:55:19 2021  memory use: 1142.0 MB
Sun Jun 13 12:55:19 2021  distribution of cycle lengths:
Sun Jun 13 12:55:19 2021  1 relations: 145081
Sun Jun 13 12:55:19 2021  2 relations: 247385
Sun Jun 13 12:55:19 2021  3 relations: 331931
Sun Jun 13 12:55:19 2021  4 relations: 373093
Sun Jun 13 12:55:19 2021  5 relations: 404694
Sun Jun 13 12:55:19 2021  6 relations: 411812
Sun Jun 13 12:55:19 2021  7 relations: 409902
Sun Jun 13 12:55:19 2021  8 relations: 391634
Sun Jun 13 12:55:19 2021  9 relations: 362347
Sun Jun 13 12:55:19 2021  10+ relations: 1935555
Sun Jun 13 12:55:19 2021  heaviest cycle: 28 relations
Sun Jun 13 12:55:27 2021  RelProcTime: 3901
Sun Jun 13 12:55:27 2021  
Sun Jun 13 12:55:27 2021  commencing linear algebra
Sun Jun 13 12:55:28 2021  read 5013434 cycles
Sun Jun 13 12:55:36 2021  cycles contain 15654593 unique relations
Sun Jun 13 12:56:53 2021  read 15654593 relations
Sun Jun 13 12:57:14 2021  using 20 quadratic characters above 4294917295
Sun Jun 13 12:58:07 2021  building initial matrix
Sun Jun 13 13:00:31 2021  memory use: 1911.7 MB
Sun Jun 13 13:00:33 2021  read 5013434 cycles
Sun Jun 13 13:00:34 2021  matrix is 5013257 x 5013434 (2304.7 MB) with weight 652493944 (130.15/col)
Sun Jun 13 13:00:34 2021  sparse part has weight 554040678 (110.51/col)
Sun Jun 13 13:01:16 2021  filtering completed in 2 passes
Sun Jun 13 13:01:17 2021  matrix is 5013208 x 5013385 (2304.7 MB) with weight 652492328 (130.15/col)
Sun Jun 13 13:01:17 2021  sparse part has weight 554040046 (110.51/col)
Sun Jun 13 13:01:26 2021  matrix starts at (0, 0)
Sun Jun 13 13:01:26 2021  matrix is 5013208 x 5013385 (2304.7 MB) with weight 652492328 (130.15/col)
Sun Jun 13 13:01:26 2021  sparse part has weight 554040046 (110.51/col)
Sun Jun 13 13:01:26 2021  saving the first 48 matrix rows for later
Sun Jun 13 13:01:27 2021  matrix includes 64 packed rows
Sun Jun 13 13:01:28 2021  matrix is 5013160 x 5013385 (2211.0 MB) with weight 564287693 (112.56/col)
Sun Jun 13 13:01:28 2021  sparse part has weight 529473668 (105.61/col)
Sun Jun 13 13:01:28 2021  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
Sun Jun 13 13:01:43 2021  commencing Lanczos iteration (3 threads)
Sun Jun 13 13:01:43 2021  memory use: 2102.5 MB
Sun Jun 13 13:02:03 2021  linear algebra at 0.0%, ETA 17h30m
Sun Jun 13 13:02:09 2021  checkpointing every 300000 dimensions
Mon Jun 14 05:01:53 2021  lanczos halted after 79283 iterations (dim = 5013159)
Mon Jun 14 05:02:00 2021  recovered 36 nontrivial dependencies
Mon Jun 14 05:02:00 2021  BLanczosTime: 57993
Mon Jun 14 05:02:00 2021  
Mon Jun 14 05:02:00 2021  commencing square root phase
Mon Jun 14 05:02:00 2021  handling dependencies 1 to 64
Mon Jun 14 05:02:00 2021  reading relations for dependency 1
Mon Jun 14 05:02:00 2021  read 2506404 cycles
Mon Jun 14 05:02:04 2021  cycles contain 7827282 unique relations
Mon Jun 14 05:02:49 2021  read 7827282 relations
Mon Jun 14 05:03:12 2021  multiplying 7827282 relations
Mon Jun 14 05:06:43 2021  multiply complete, coefficients have about 191.10 million bits
Mon Jun 14 05:06:44 2021  initial square root is modulo 7215301
Mon Jun 14 05:10:48 2021  found factor: 43861832938722729491548354385968177679130890609106503587707999898636395653
Mon Jun 14 05:10:48 2021  reading relations for dependency 2
Mon Jun 14 05:10:48 2021  read 2504715 cycles
Mon Jun 14 05:10:52 2021  cycles contain 7822046 unique relations
Mon Jun 14 05:11:38 2021  read 7822046 relations
Mon Jun 14 05:12:01 2021  multiplying 7822046 relations
Mon Jun 14 05:15:32 2021  multiply complete, coefficients have about 190.98 million bits
Mon Jun 14 05:15:33 2021  initial square root is modulo 7141049
Mon Jun 14 05:19:38 2021  sqrtTime: 1058
Mon Jun 14 05:19:38 2021  p57 factor: 142141687928790102283330152207911725901642588659216945127
Mon Jun 14 05:19:38 2021  p62 factor: 59820360781357797670731975986371050392208362832991619913693431
Mon Jun 14 05:19:38 2021  p74 factor: 43861832938722729491548354385968177679130890609106503587707999898636395653
Mon Jun 14 05:19:38 2021  elapsed time 17:29:13