Mon Apr 17 15:36:07 2017
Mon Apr 17 15:36:07 2017
Mon Apr 17 15:36:07 2017  Msieve v. 1.53 (SVN 993)
Mon Apr 17 15:36:07 2017  random seeds: 25d27864 41237a37
Mon Apr 17 15:36:07 2017  factoring 45664836076707326949799879925546822944438984749138868498077643889861249171121125608947564640862603200291544273806341153770195101086945023775971971026696856785466051964204031142570992814849264550405212823 (203 digits)
Mon Apr 17 15:36:08 2017  no P-1/P+1/ECM available, skipping
Mon Apr 17 15:36:08 2017  commencing number field sieve (203-digit input)
Mon Apr 17 15:36:08 2017  R0: 487567823246881413521655988224
Mon Apr 17 15:36:08 2017  R1: -1658509762573818415340429240403156732495289
Mon Apr 17 15:36:08 2017  A0: 132
Mon Apr 17 15:36:08 2017  A1: 0
Mon Apr 17 15:36:08 2017  A2: 0
Mon Apr 17 15:36:08 2017  A3: 0
Mon Apr 17 15:36:08 2017  A4: 0
Mon Apr 17 15:36:08 2017  A5: 0
Mon Apr 17 15:36:08 2017  A6: 1
Mon Apr 17 15:36:08 2017  skew 2.26, size 1.988e-12, alpha -0.933, combined = 1.911e-13 rroots = 0
Mon Apr 17 15:36:08 2017
Mon Apr 17 15:36:08 2017  commencing relation filtering
Mon Apr 17 15:36:08 2017  setting target matrix density to 108.0
Mon Apr 17 15:36:08 2017  estimated available RAM is 32094.2 MB
Mon Apr 17 15:36:08 2017  commencing duplicate removal, pass 1
Mon Apr 17 15:38:45 2017  error -6 reading relation 23469111
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469113
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469147
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469193
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469215
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469228
Mon Apr 17 15:38:45 2017  error -6 reading relation 23469300
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469411
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469442
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469570
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469607
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469625
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469762
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469850
Mon Apr 17 15:38:45 2017  error -11 reading relation 23469887
Mon Apr 17 15:38:45 2017  error -11 reading relation 23470134
Mon Apr 17 15:54:51 2017  error -1 reading relation 166395863
Mon Apr 17 15:54:51 2017  error -1 reading relation 166395864
Mon Apr 17 16:01:09 2017  error -1 reading relation 222675145
Mon Apr 17 16:02:08 2017  skipped 40 relations with b > 2^32
Mon Apr 17 16:02:08 2017  skipped 5 relations with composite factors
Mon Apr 17 16:02:08 2017  found 47752815 hash collisions in 230382527 relations
Mon Apr 17 16:02:18 2017  commencing duplicate removal, pass 2
Mon Apr 17 16:03:34 2017  found 48363559 duplicates and 182018968 unique relations
Mon Apr 17 16:03:34 2017  memory use: 1321.5 MB
Mon Apr 17 16:03:34 2017  reading ideals above 213319680
Mon Apr 17 16:03:34 2017  commencing singleton removal, initial pass
Mon Apr 17 16:18:23 2017  memory use: 3012.0 MB
Mon Apr 17 16:18:23 2017  reading all ideals from disk
Mon Apr 17 16:18:23 2017  memory use: 2947.2 MB
Mon Apr 17 16:18:30 2017  commencing in-memory singleton removal
Mon Apr 17 16:18:35 2017  begin with 182018968 relations and 151301353 unique ideals
Mon Apr 17 16:19:40 2017  reduce to 111293541 relations and 72768327 ideals in 15 passes
Mon Apr 17 16:19:40 2017  max relations containing the same ideal: 33
Mon Apr 17 16:19:45 2017  reading ideals above 720000
Mon Apr 17 16:19:45 2017  commencing singleton removal, initial pass
Mon Apr 17 16:31:40 2017  memory use: 2756.0 MB
Mon Apr 17 16:31:40 2017  reading all ideals from disk
Mon Apr 17 16:31:51 2017  memory use: 4425.1 MB
Mon Apr 17 16:32:03 2017  keeping 95743972 ideals with weight <= 200, target excess is 562367
Mon Apr 17 16:32:15 2017  commencing in-memory singleton removal
Mon Apr 17 16:32:24 2017  begin with 111293541 relations and 95743972 unique ideals
Mon Apr 17 16:33:58 2017  reduce to 111242415 relations and 95692808 ideals in 10 passes
Mon Apr 17 16:33:58 2017  max relations containing the same ideal: 200
Mon Apr 17 16:34:49 2017  removing 11705315 relations and 9705315 ideals in 2000000 cliques
Mon Apr 17 16:34:52 2017  commencing in-memory singleton removal
Mon Apr 17 16:34:59 2017  begin with 99537100 relations and 95692808 unique ideals
Mon Apr 17 16:36:07 2017  reduce to 98639507 relations and 85069626 ideals in 9 passes
Mon Apr 17 16:36:07 2017  max relations containing the same ideal: 193
Mon Apr 17 16:36:48 2017  removing 8885960 relations and 6885960 ideals in 2000000 cliques
Mon Apr 17 16:36:51 2017  commencing in-memory singleton removal
Mon Apr 17 16:36:56 2017  begin with 89753547 relations and 85069626 unique ideals
Mon Apr 17 16:37:42 2017  reduce to 89153077 relations and 77571171 ideals in 8 passes
Mon Apr 17 16:37:42 2017  max relations containing the same ideal: 182
Mon Apr 17 16:38:16 2017  removing 8028743 relations and 6028743 ideals in 2000000 cliques
Mon Apr 17 16:38:19 2017  commencing in-memory singleton removal
Mon Apr 17 16:38:24 2017  begin with 81124334 relations and 77571171 unique ideals
Mon Apr 17 16:39:04 2017  reduce to 80586125 relations and 70993043 ideals in 8 passes
Mon Apr 17 16:39:04 2017  max relations containing the same ideal: 172
Mon Apr 17 16:39:35 2017  removing 7594599 relations and 5594599 ideals in 2000000 cliques
Mon Apr 17 16:39:37 2017  commencing in-memory singleton removal
Mon Apr 17 16:39:41 2017  begin with 72991526 relations and 70993043 unique ideals
Mon Apr 17 16:40:18 2017  reduce to 72472035 relations and 64867559 ideals in 8 passes
Mon Apr 17 16:40:18 2017  max relations containing the same ideal: 163
Mon Apr 17 16:40:45 2017  removing 7323496 relations and 5323496 ideals in 2000000 cliques
Mon Apr 17 16:40:48 2017  commencing in-memory singleton removal
Mon Apr 17 16:40:52 2017  begin with 65148539 relations and 64867559 unique ideals
Mon Apr 17 16:41:24 2017  reduce to 64619733 relations and 59002461 ideals in 8 passes
Mon Apr 17 16:41:24 2017  max relations containing the same ideal: 150
Mon Apr 17 16:41:48 2017  removing 7142288 relations and 5142288 ideals in 2000000 cliques
Mon Apr 17 16:41:51 2017  commencing in-memory singleton removal
Mon Apr 17 16:41:54 2017  begin with 57477445 relations and 59002461 unique ideals
Mon Apr 17 16:42:26 2017  reduce to 56915217 relations and 53282952 ideals in 9 passes
Mon Apr 17 16:42:26 2017  max relations containing the same ideal: 139
Mon Apr 17 16:42:47 2017  removing 7035880 relations and 5035880 ideals in 2000000 cliques
Mon Apr 17 16:42:49 2017  commencing in-memory singleton removal
Mon Apr 17 16:42:52 2017  begin with 49879337 relations and 53282952 unique ideals
Mon Apr 17 16:43:17 2017  reduce to 49253929 relations and 47602665 ideals in 8 passes
Mon Apr 17 16:43:17 2017  max relations containing the same ideal: 124
Mon Apr 17 16:43:35 2017  removing 4020997 relations and 3022079 ideals in 998918 cliques
Mon Apr 17 16:43:37 2017  commencing in-memory singleton removal
Mon Apr 17 16:43:39 2017  begin with 45232932 relations and 47602665 unique ideals
Mon Apr 17 16:43:59 2017  reduce to 45001944 relations and 44345206 ideals in 7 passes
Mon Apr 17 16:43:59 2017  max relations containing the same ideal: 116
Mon Apr 17 16:44:22 2017  relations with 0 large ideals: 21476
Mon Apr 17 16:44:22 2017  relations with 1 large ideals: 4639
Mon Apr 17 16:44:22 2017  relations with 2 large ideals: 73553
Mon Apr 17 16:44:22 2017  relations with 3 large ideals: 583242
Mon Apr 17 16:44:22 2017  relations with 4 large ideals: 2532348
Mon Apr 17 16:44:22 2017  relations with 5 large ideals: 6642795
Mon Apr 17 16:44:22 2017  relations with 6 large ideals: 10998555
Mon Apr 17 16:44:22 2017  relations with 7+ large ideals: 24145336
Mon Apr 17 16:44:22 2017  commencing 2-way merge
Mon Apr 17 16:44:43 2017  reduce to 29995492 relation sets and 29338754 unique ideals
Mon Apr 17 16:44:43 2017  commencing full merge
Mon Apr 17 16:54:22 2017  memory use: 3793.2 MB
Mon Apr 17 16:54:25 2017  found 13898980 cycles, need 13852954
Mon Apr 17 16:54:30 2017  weight of 13852954 cycles is about 1496663126 (108.04/cycle)
Mon Apr 17 16:54:30 2017  distribution of cycle lengths:
Mon Apr 17 16:54:30 2017  1 relations: 742932
Mon Apr 17 16:54:30 2017  2 relations: 993836
Mon Apr 17 16:54:30 2017  3 relations: 1131188
Mon Apr 17 16:54:30 2017  4 relations: 1136795
Mon Apr 17 16:54:30 2017  5 relations: 1128159
Mon Apr 17 16:54:30 2017  6 relations: 1096395
Mon Apr 17 16:54:30 2017  7 relations: 1037422
Mon Apr 17 16:54:30 2017  8 relations: 971826
Mon Apr 17 16:54:30 2017  9 relations: 891458
Mon Apr 17 16:54:30 2017  10+ relations: 4722943
Mon Apr 17 16:54:30 2017  heaviest cycle: 28 relations
Mon Apr 17 16:54:33 2017  commencing cycle optimization
Mon Apr 17 16:54:56 2017  start with 111487782 relations
Mon Apr 17 16:58:23 2017  pruned 4673058 relations
Mon Apr 17 16:58:24 2017  memory use: 3025.6 MB
Mon Apr 17 16:58:24 2017  distribution of cycle lengths:
Mon Apr 17 16:58:24 2017  1 relations: 742932
Mon Apr 17 16:58:24 2017  2 relations: 1018209
Mon Apr 17 16:58:24 2017  3 relations: 1179049
Mon Apr 17 16:58:24 2017  4 relations: 1181982
Mon Apr 17 16:58:24 2017  5 relations: 1181889
Mon Apr 17 16:58:24 2017  6 relations: 1142466
Mon Apr 17 16:58:24 2017  7 relations: 1083452
Mon Apr 17 16:58:24 2017  8 relations: 1008153
Mon Apr 17 16:58:24 2017  9 relations: 922060
Mon Apr 17 16:58:24 2017  10+ relations: 4392762
Mon Apr 17 16:58:24 2017  heaviest cycle: 28 relations
Mon Apr 17 16:58:45 2017  RelProcTime: 4957
Mon Apr 17 16:58:51 2017
Mon Apr 17 16:58:51 2017  commencing linear algebra
Mon Apr 17 16:58:52 2017  read 13852954 cycles
Mon Apr 17 16:59:15 2017  cycles contain 44608504 unique relations
Mon Apr 17 17:02:40 2017  read 44608504 relations
Mon Apr 17 17:03:35 2017  using 20 quadratic characters above 4294917295
Mon Apr 17 17:06:23 2017  building initial matrix
Mon Apr 17 17:14:10 2017  memory use: 5907.1 MB
Mon Apr 17 17:14:16 2017  read 13852954 cycles
Mon Apr 17 17:14:17 2017  matrix is 13852777 x 13852954 (5944.9 MB) with weight 1756743319 (126.81/col)
Mon Apr 17 17:14:17 2017  sparse part has weight 1406047360 (101.50/col)
Mon Apr 17 17:16:56 2017  filtering completed in 2 passes
Mon Apr 17 17:16:59 2017  matrix is 13852419 x 13852596 (5944.9 MB) with weight 1756729927 (126.82/col)
Mon Apr 17 17:16:59 2017  sparse part has weight 1406043394 (101.50/col)
Mon Apr 17 17:17:42 2017  matrix starts at (0, 0)
Mon Apr 17 17:17:44 2017  matrix is 13852419 x 13852596 (5944.9 MB) with weight 1756729927 (126.82/col)
Mon Apr 17 17:17:44 2017  sparse part has weight 1406043394 (101.50/col)
Mon Apr 17 17:17:44 2017  saving the first 48 matrix rows for later
Mon Apr 17 17:17:46 2017  matrix includes 64 packed rows
Mon Apr 17 17:17:47 2017  matrix is 13852371 x 13852596 (5721.1 MB) with weight 1480599880 (106.88/col)
Mon Apr 17 17:17:47 2017  sparse part has weight 1361223445 (98.26/col)
Mon Apr 17 17:17:47 2017  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Mon Apr 17 17:18:40 2017  commencing Lanczos iteration (6 threads)
Mon Apr 17 17:18:40 2017  memory use: 4863.5 MB
Mon Apr 17 17:19:19 2017  linear algebra at 0.0%, ETA 93h35m
Mon Apr 17 17:19:31 2017  checkpointing every 150000 dimensions
Fri Apr 21 12:46:56 2017  lanczos halted after 219057 iterations (dim = 13852369)
Fri Apr 21 12:47:09 2017  recovered 38 nontrivial dependencies
Fri Apr 21 12:47:09 2017  BLanczosTime: 330498
Fri Apr 21 12:47:09 2017
Fri Apr 21 12:47:09 2017  commencing square root phase
Fri Apr 21 12:47:09 2017  handling dependencies 1 to 64
Fri Apr 21 12:47:09 2017  reading relations for dependency 1
Fri Apr 21 12:47:11 2017  read 6927723 cycles
Fri Apr 21 12:47:22 2017  cycles contain 22309264 unique relations
Fri Apr 21 12:49:25 2017  read 22309264 relations
Fri Apr 21 12:50:57 2017  multiplying 22309264 relations
Fri Apr 21 13:06:51 2017  multiply complete, coefficients have about 574.91 million bits
Fri Apr 21 13:06:53 2017  initial square root is modulo 143833
Fri Apr 21 13:23:57 2017  sqrtTime: 2208
Fri Apr 21 13:23:57 2017  p68 factor: 69850751451692983626652885615515723472011733874399458655606950777087
Fri Apr 21 13:23:57 2017  p135 factor: 653748673101791536278347326477209219516452170215871376896498224735082845923886366677483702388290438325532576068540665597626205444877929
Fri Apr 21 13:23:57 2017  elapsed time 93:47:50