Msieve log of 315__981_3m1

Sun Feb 21 12:25:47 2021
Sun Feb 21 12:25:47 2021
Sun Feb 21 12:25:47 2021  Msieve v. 1.53 (SVN 988)
Sun Feb 21 12:25:47 2021  random seeds: 63521940 409587f4
Sun Feb 21 12:25:47 2021  factoring 634210191473724636073012888778064585963828736422493264229952585199734220705677698375420277345203845659582125672684812004155918762310432006272978567275555697 (156 digits)
Sun Feb 21 12:25:48 2021  searching for 15-digit factors
Sun Feb 21 12:25:48 2021  commencing number field sieve (156-digit input)
Sun Feb 21 12:25:48 2021  R0: -1066970121962138726598046402376
Sun Feb 21 12:25:48 2021  R1: 2054816105087743
Sun Feb 21 12:25:48 2021  A0: -36607285538657015690478860138058335001
Sun Feb 21 12:25:48 2021  A1: 62915465145625658641778217302923
Sun Feb 21 12:25:48 2021  A2: 13024747782731511811122219
Sun Feb 21 12:25:48 2021  A3: -14379228008570988723
Sun Feb 21 12:25:48 2021  A4: -1643936213578
Sun Feb 21 12:25:48 2021  A5: 458640
Sun Feb 21 12:25:48 2021  skew 1.00, size 3.686e-015, alpha -6.914, combined = 1.801e-014 rroots = 5
Sun Feb 21 12:25:48 2021
Sun Feb 21 12:25:48 2021  commencing relation filtering
Sun Feb 21 12:25:48 2021  setting target matrix density to 110.0
Sun Feb 21 12:25:48 2021  estimated available RAM is 16151.1 MB
Sun Feb 21 12:25:48 2021  commencing duplicate removal, pass 1
Sun Feb 21 12:28:24 2021  error -9 reading relation 21320289
Sun Feb 21 12:28:35 2021  error -5 reading relation 22802466
Sun Feb 21 12:28:57 2021  error -5 reading relation 25694213
Sun Feb 21 12:29:26 2021  error -9 reading relation 29451149
Sun Feb 21 12:29:52 2021  error -15 reading relation 32874370
Sun Feb 21 12:29:53 2021  error -15 reading relation 33022645
Sun Feb 21 12:30:23 2021  error -15 reading relation 36973857
Sun Feb 21 12:30:41 2021  error -1 reading relation 39387213
Sun Feb 21 12:30:52 2021  error -1 reading relation 40908243
Sun Feb 21 12:30:52 2021  error -15 reading relation 40921873
Sun Feb 21 12:30:52 2021  error -15 reading relation 40924154
Sun Feb 21 12:30:56 2021  error -15 reading relation 41434746
Sun Feb 21 12:30:56 2021  error -15 reading relation 41512143
Sun Feb 21 12:30:56 2021  error -15 reading relation 41524693
Sun Feb 21 12:30:56 2021  error -15 reading relation 41526286
Sun Feb 21 12:30:57 2021  error -9 reading relation 41604507
Sun Feb 21 12:30:57 2021  error -15 reading relation 41616994
Sun Feb 21 12:30:57 2021  error -9 reading relation 41618505
Sun Feb 21 12:30:58 2021  error -9 reading relation 41746195
Sun Feb 21 12:31:13 2021  error -15 reading relation 43776200
Sun Feb 21 12:31:14 2021  error -1 reading relation 43869409
Sun Feb 21 12:31:14 2021  error -15 reading relation 43918178
Sun Feb 21 12:31:14 2021  error -1 reading relation 43924040
Sun Feb 21 12:31:14 2021  error -15 reading relation 43974195
Sun Feb 21 12:31:30 2021  error -9 reading relation 46085205
Sun Feb 21 12:31:40 2021  error -15 reading relation 47329538
Sun Feb 21 12:31:45 2021  error -1 reading relation 47995473
Sun Feb 21 12:31:46 2021  error -9 reading relation 48103927
Sun Feb 21 12:31:47 2021  error -15 reading relation 48230820
Sun Feb 21 12:31:56 2021  error -15 reading relation 49472696
Sun Feb 21 12:31:56 2021  error -15 reading relation 49541295
Sun Feb 21 12:31:59 2021  error -9 reading relation 49817048
Sun Feb 21 12:31:59 2021  error -1 reading relation 49825726
Sun Feb 21 12:31:59 2021  error -15 reading relation 49837000
Sun Feb 21 12:32:05 2021  error -15 reading relation 50687104
Sun Feb 21 12:32:05 2021  error -15 reading relation 50689765
Sun Feb 21 12:32:12 2021  error -15 reading relation 51643697
Sun Feb 21 12:32:14 2021  error -15 reading relation 51904294
Sun Feb 21 12:33:00 2021  error -9 reading relation 57897465
Sun Feb 21 12:33:00 2021  error -1 reading relation 57897466
Sun Feb 21 12:33:01 2021  error -9 reading relation 58021326
Sun Feb 21 12:33:05 2021  error -15 reading relation 58487876
Sun Feb 21 12:33:05 2021  error -5 reading relation 58533322
Sun Feb 21 12:33:05 2021  error -9 reading relation 58544977
Sun Feb 21 12:33:05 2021  error -15 reading relation 58573837
Sun Feb 21 12:33:09 2021  error -1 reading relation 59018749
Sun Feb 21 12:33:09 2021  error -1 reading relation 59018750
Sun Feb 21 12:33:10 2021  error -9 reading relation 59109861
Sun Feb 21 12:33:12 2021  error -9 reading relation 59439831
Sun Feb 21 12:33:12 2021  error -15 reading relation 59453628
Sun Feb 21 12:33:25 2021  error -15 reading relation 61291345
Sun Feb 21 12:33:26 2021  error -1 reading relation 61297685
Sun Feb 21 12:33:33 2021  error -5 reading relation 62399471
Sun Feb 21 12:33:34 2021  error -1 reading relation 62519968
Sun Feb 21 12:33:50 2021  skipped 19 relations with composite factors
Sun Feb 21 12:33:50 2021  found 14670199 hash collisions in 64802476 relations
Sun Feb 21 12:34:12 2021  added 121873 free relations
Sun Feb 21 12:34:12 2021  commencing duplicate removal, pass 2
Sun Feb 21 12:34:54 2021  found 15789151 duplicates and 49135198 unique relations
Sun Feb 21 12:34:54 2021  memory use: 362.4 MB
Sun Feb 21 12:34:54 2021  reading ideals above 720000
Sun Feb 21 12:34:54 2021  commencing singleton removal, initial pass
Sun Feb 21 12:41:35 2021  memory use: 1378.0 MB
Sun Feb 21 12:41:35 2021  reading all ideals from disk
Sun Feb 21 12:41:37 2021  memory use: 1778.3 MB
Sun Feb 21 12:41:44 2021  keeping 46949402 ideals with weight <= 200, target excess is 255031
Sun Feb 21 12:41:51 2021  commencing in-memory singleton removal
Sun Feb 21 12:41:59 2021  begin with 49135198 relations and 46949402 unique ideals
Sun Feb 21 12:43:07 2021  reduce to 31297149 relations and 27283434 ideals in 14 passes
Sun Feb 21 12:43:07 2021  max relations containing the same ideal: 156
Sun Feb 21 12:43:26 2021  removing 2498345 relations and 2098345 ideals in 400000 cliques
Sun Feb 21 12:43:27 2021  commencing in-memory singleton removal
Sun Feb 21 12:43:31 2021  begin with 28798804 relations and 27283434 unique ideals
Sun Feb 21 12:43:58 2021  reduce to 28639178 relations and 25022795 ideals in 8 passes
Sun Feb 21 12:43:58 2021  max relations containing the same ideal: 148
Sun Feb 21 12:44:18 2021  removing 1911463 relations and 1511463 ideals in 400000 cliques
Sun Feb 21 12:44:19 2021  commencing in-memory singleton removal
Sun Feb 21 12:44:23 2021  begin with 26727715 relations and 25022795 unique ideals
Sun Feb 21 12:44:48 2021  reduce to 26622039 relations and 23404157 ideals in 7 passes
Sun Feb 21 12:44:48 2021  max relations containing the same ideal: 143
Sun Feb 21 12:45:05 2021  removing 1734809 relations and 1334809 ideals in 400000 cliques
Sun Feb 21 12:45:06 2021  commencing in-memory singleton removal
Sun Feb 21 12:45:10 2021  begin with 24887230 relations and 23404157 unique ideals
Sun Feb 21 12:45:33 2021  reduce to 24793434 relations and 21974286 ideals in 7 passes
Sun Feb 21 12:45:33 2021  max relations containing the same ideal: 135
Sun Feb 21 12:45:50 2021  removing 1645674 relations and 1245675 ideals in 400000 cliques
Sun Feb 21 12:45:51 2021  commencing in-memory singleton removal
Sun Feb 21 12:45:54 2021  begin with 23147760 relations and 21974286 unique ideals
Sun Feb 21 12:46:26 2021  reduce to 23057545 relations and 20637082 ideals in 10 passes
Sun Feb 21 12:46:26 2021  max relations containing the same ideal: 127
Sun Feb 21 12:46:43 2021  removing 1596415 relations and 1196415 ideals in 400000 cliques
Sun Feb 21 12:46:44 2021  commencing in-memory singleton removal
Sun Feb 21 12:46:46 2021  begin with 21461130 relations and 20637082 unique ideals
Sun Feb 21 12:47:06 2021  reduce to 21368588 relations and 19346750 ideals in 7 passes
Sun Feb 21 12:47:06 2021  max relations containing the same ideal: 121
Sun Feb 21 12:47:19 2021  removing 1568367 relations and 1168367 ideals in 400000 cliques
Sun Feb 21 12:47:20 2021  commencing in-memory singleton removal
Sun Feb 21 12:47:23 2021  begin with 19800221 relations and 19346750 unique ideals
Sun Feb 21 12:47:40 2021  reduce to 19705028 relations and 18081549 ideals in 7 passes
Sun Feb 21 12:47:40 2021  max relations containing the same ideal: 117
Sun Feb 21 12:47:53 2021  removing 1555982 relations and 1155982 ideals in 400000 cliques
Sun Feb 21 12:47:54 2021  commencing in-memory singleton removal
Sun Feb 21 12:47:56 2021  begin with 18149046 relations and 18081549 unique ideals
Sun Feb 21 12:48:10 2021  reduce to 18048127 relations and 16822942 ideals in 7 passes
Sun Feb 21 12:48:10 2021  max relations containing the same ideal: 113
Sun Feb 21 12:48:22 2021  removing 1554358 relations and 1154358 ideals in 400000 cliques
Sun Feb 21 12:48:23 2021  commencing in-memory singleton removal
Sun Feb 21 12:48:25 2021  begin with 16493769 relations and 16822942 unique ideals
Sun Feb 21 12:48:43 2021  reduce to 16383331 relations and 15555972 ideals in 8 passes
Sun Feb 21 12:48:43 2021  max relations containing the same ideal: 100
Sun Feb 21 12:48:55 2021  removing 1560962 relations and 1160962 ideals in 400000 cliques
Sun Feb 21 12:48:55 2021  commencing in-memory singleton removal
Sun Feb 21 12:48:57 2021  begin with 14822369 relations and 15555972 unique ideals
Sun Feb 21 12:49:14 2021  reduce to 14698338 relations and 14268362 ideals in 8 passes
Sun Feb 21 12:49:14 2021  max relations containing the same ideal: 93
Sun Feb 21 12:49:24 2021  removing 662629 relations and 528489 ideals in 134140 cliques
Sun Feb 21 12:49:24 2021  commencing in-memory singleton removal
Sun Feb 21 12:49:26 2021  begin with 14035709 relations and 14268362 unique ideals
Sun Feb 21 12:49:38 2021  reduce to 14013081 relations and 13717075 ideals in 6 passes
Sun Feb 21 12:49:38 2021  max relations containing the same ideal: 90
Sun Feb 21 12:49:50 2021  relations with 0 large ideals: 875
Sun Feb 21 12:49:50 2021  relations with 1 large ideals: 2206
Sun Feb 21 12:49:50 2021  relations with 2 large ideals: 36067
Sun Feb 21 12:49:50 2021  relations with 3 large ideals: 267528
Sun Feb 21 12:49:50 2021  relations with 4 large ideals: 1071713
Sun Feb 21 12:49:50 2021  relations with 5 large ideals: 2558842
Sun Feb 21 12:49:50 2021  relations with 6 large ideals: 3798687
Sun Feb 21 12:49:50 2021  relations with 7+ large ideals: 6277163
Sun Feb 21 12:49:50 2021  commencing 2-way merge
Sun Feb 21 12:50:05 2021  reduce to 9094198 relation sets and 8798192 unique ideals
Sun Feb 21 12:50:05 2021  commencing full merge
Sun Feb 21 12:54:39 2021  memory use: 1098.6 MB
Sun Feb 21 12:54:41 2021  found 4073759 cycles, need 4050392
Sun Feb 21 12:54:41 2021  weight of 4050392 cycles is about 445808646 (110.07/cycle)
Sun Feb 21 12:54:41 2021  distribution of cycle lengths:
Sun Feb 21 12:54:41 2021  1 relations: 267007
Sun Feb 21 12:54:41 2021  2 relations: 296005
Sun Feb 21 12:54:41 2021  3 relations: 312765
Sun Feb 21 12:54:41 2021  4 relations: 308259
Sun Feb 21 12:54:41 2021  5 relations: 306550
Sun Feb 21 12:54:41 2021  6 relations: 295994
Sun Feb 21 12:54:42 2021  7 relations: 284198
Sun Feb 21 12:54:42 2021  8 relations: 267964
Sun Feb 21 12:54:42 2021  9 relations: 249592
Sun Feb 21 12:54:42 2021  10+ relations: 1462058
Sun Feb 21 12:54:42 2021  heaviest cycle: 28 relations
Sun Feb 21 12:54:44 2021  commencing cycle optimization
Sun Feb 21 12:54:52 2021  start with 33354387 relations
Sun Feb 21 12:56:37 2021  pruned 1444027 relations
Sun Feb 21 12:56:37 2021  memory use: 918.7 MB
Sun Feb 21 12:56:37 2021  distribution of cycle lengths:
Sun Feb 21 12:56:37 2021  1 relations: 267007
Sun Feb 21 12:56:37 2021  2 relations: 304356
Sun Feb 21 12:56:37 2021  3 relations: 326991
Sun Feb 21 12:56:37 2021  4 relations: 320754
Sun Feb 21 12:56:37 2021  5 relations: 320939
Sun Feb 21 12:56:37 2021  6 relations: 309199
Sun Feb 21 12:56:37 2021  7 relations: 297007
Sun Feb 21 12:56:37 2021  8 relations: 278544
Sun Feb 21 12:56:37 2021  9 relations: 258996
Sun Feb 21 12:56:37 2021  10+ relations: 1366599
Sun Feb 21 12:56:37 2021  heaviest cycle: 28 relations
Sun Feb 21 12:56:45 2021  RelProcTime: 1857
Sun Feb 21 12:56:45 2021
Sun Feb 21 12:56:45 2021  commencing linear algebra
Sun Feb 21 12:56:46 2021  read 4050392 cycles
Sun Feb 21 12:56:58 2021  cycles contain 13846552 unique relations
Sun Feb 21 12:58:14 2021  read 13846552 relations
Sun Feb 21 12:58:48 2021  using 20 quadratic characters above 4294917295
Sun Feb 21 12:59:43 2021  building initial matrix
Sun Feb 21 13:02:58 2021  memory use: 1882.2 MB
Sun Feb 21 13:03:02 2021  read 4050392 cycles
Sun Feb 21 13:03:03 2021  matrix is 4050215 x 4050392 (1769.6 MB) with weight 546538110 (134.93/col)
Sun Feb 21 13:03:03 2021  sparse part has weight 415278203 (102.53/col)
Sun Feb 21 13:04:02 2021  filtering completed in 2 passes
Sun Feb 21 13:04:03 2021  matrix is 4050051 x 4050228 (1769.6 MB) with weight 546530113 (134.94/col)
Sun Feb 21 13:04:03 2021  sparse part has weight 415275843 (102.53/col)
Sun Feb 21 13:04:18 2021  matrix starts at (0, 0)
Sun Feb 21 13:04:19 2021  matrix is 4050051 x 4050228 (1769.6 MB) with weight 546530113 (134.94/col)
Sun Feb 21 13:04:19 2021  sparse part has weight 415275843 (102.53/col)
Sun Feb 21 13:04:19 2021  saving the first 48 matrix rows for later
Sun Feb 21 13:04:21 2021  matrix includes 64 packed rows
Sun Feb 21 13:04:22 2021  matrix is 4050003 x 4050228 (1723.3 MB) with weight 461562809 (113.96/col)
Sun Feb 21 13:04:22 2021  sparse part has weight 411260952 (101.54/col)
Sun Feb 21 13:04:22 2021  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Feb 21 13:04:41 2021  commencing Lanczos iteration (6 threads)
Sun Feb 21 13:04:41 2021  memory use: 1417.1 MB
Sun Feb 21 13:05:03 2021  linear algebra at 0.0%, ETA 15h32m
Sun Feb 21 13:05:11 2021  checkpointing every 260000 dimensions
Mon Feb 22 04:31:08 2021  lanczos halted after 64052 iterations (dim = 4049998)
Mon Feb 22 04:31:14 2021  recovered 26 nontrivial dependencies
Mon Feb 22 04:31:15 2021  BLanczosTime: 56070
Mon Feb 22 04:31:15 2021
Mon Feb 22 04:31:15 2021  commencing square root phase
Mon Feb 22 04:31:15 2021  handling dependencies 1 to 64
Mon Feb 22 04:31:15 2021  reading relations for dependency 1
Mon Feb 22 04:31:16 2021  read 2025446 cycles
Mon Feb 22 04:31:20 2021  cycles contain 6922956 unique relations
Mon Feb 22 04:32:03 2021  read 6922956 relations
Mon Feb 22 04:32:41 2021  multiplying 6922956 relations
Mon Feb 22 04:39:05 2021  multiply complete, coefficients have about 373.37 million bits
Mon Feb 22 04:39:09 2021  initial square root is modulo 5006923
Mon Feb 22 04:47:29 2021  GCD is 1, no factor found
Mon Feb 22 04:47:29 2021  reading relations for dependency 2
Mon Feb 22 04:47:29 2021  read 2026024 cycles
Mon Feb 22 04:47:34 2021  cycles contain 6923414 unique relations
Mon Feb 22 04:48:16 2021  read 6923414 relations
Mon Feb 22 04:48:58 2021  multiplying 6923414 relations
Mon Feb 22 04:55:42 2021  multiply complete, coefficients have about 373.41 million bits
Mon Feb 22 04:55:45 2021  initial square root is modulo 5014687
Mon Feb 22 05:04:08 2021  GCD is N, no factor found
Mon Feb 22 05:04:08 2021  reading relations for dependency 3
Mon Feb 22 05:04:09 2021  read 2024925 cycles
Mon Feb 22 05:04:14 2021  cycles contain 6921160 unique relations
Mon Feb 22 05:04:55 2021  read 6921160 relations
Mon Feb 22 05:05:33 2021  multiplying 6921160 relations
Mon Feb 22 05:12:02 2021  multiply complete, coefficients have about 373.28 million bits
Mon Feb 22 05:12:05 2021  initial square root is modulo 4988369
Mon Feb 22 05:20:26 2021  GCD is N, no factor found
Mon Feb 22 05:20:26 2021  reading relations for dependency 4
Mon Feb 22 05:20:27 2021  read 2025649 cycles
Mon Feb 22 05:20:32 2021  cycles contain 6925266 unique relations
Mon Feb 22 05:21:12 2021  read 6925266 relations
Mon Feb 22 05:21:50 2021  multiplying 6925266 relations
Mon Feb 22 05:28:16 2021  multiply complete, coefficients have about 373.51 million bits
Mon Feb 22 05:28:19 2021  initial square root is modulo 5035319
Mon Feb 22 05:36:33 2021  GCD is N, no factor found
Mon Feb 22 05:36:33 2021  reading relations for dependency 5
Mon Feb 22 05:36:33 2021  read 2024650 cycles
Mon Feb 22 05:36:39 2021  cycles contain 6921582 unique relations
Mon Feb 22 05:37:21 2021  read 6921582 relations
Mon Feb 22 05:38:02 2021  multiplying 6921582 relations
Mon Feb 22 05:44:39 2021  multiply complete, coefficients have about 373.31 million bits
Mon Feb 22 05:44:42 2021  initial square root is modulo 4993237
Mon Feb 22 05:52:51 2021  sqrtTime: 4896
Mon Feb 22 05:52:51 2021  p69 factor: 145092916850844429370568127261385149761122409824646431676396794567411
Mon Feb 22 05:52:51 2021  p88 factor: 4371062387047418315188446922912258338947879445424639279413275963371855760909636397199627
Mon Feb 22 05:52:51 2021  elapsed time 17:27:04