Fri Jun 23 00:49:05 2017
Fri Jun 23 00:49:05 2017
Fri Jun 23 00:49:05 2017  Msieve v. 1.53 (SVN Unversioned directory)
Fri Jun 23 00:49:05 2017  random seeds: 1b7a8eb8 e84ae55f
Fri Jun 23 00:49:05 2017  factoring 48617051659411879901148500183191173740459719818818239572906825331510589697540739558361422095833883018398491446348980638157678408112092901699165057691650922870794961 (164 digits)
Fri Jun 23 00:49:05 2017  no P-1/P+1/ECM available, skipping
Fri Jun 23 00:49:05 2017  commencing number field sieve (164-digit input)
Fri Jun 23 00:49:05 2017  R0: -39473793098425407586702362013059
Fri Jun 23 00:49:05 2017  R1: 261219411908353
Fri Jun 23 00:49:05 2017  A0: 36414268145373788770115624216770967668
Fri Jun 23 00:49:05 2017  A1: 42969519334008936189506779266008
Fri Jun 23 00:49:05 2017  A2: -125646566348823834900729739
Fri Jun 23 00:49:05 2017  A3: -10224912539480172989
Fri Jun 23 00:49:05 2017  A4: 5332389399891
Fri Jun 23 00:49:05 2017  A5: 507276
Fri Jun 23 00:49:05 2017  skew 1.00, size 6.244e-16, alpha -5.884, combined = 7.182e-15 rroots = 5
Fri Jun 23 00:49:05 2017
Fri Jun 23 00:49:05 2017  commencing relation filtering
Fri Jun 23 00:49:05 2017  setting target matrix density to 140.0
Fri Jun 23 00:49:05 2017  estimated available RAM is 16061.0 MB
Fri Jun 23 00:49:05 2017  commencing duplicate removal, pass 1
Fri Jun 23 01:04:07 2017  error -1 reading relation 118159244
Fri Jun 23 01:06:32 2017  error -15 reading relation 136917361
Fri Jun 23 01:14:17 2017  error -1 reading relation 196246409
Fri Jun 23 01:14:49 2017  error -15 reading relation 200344682
Fri Jun 23 01:15:08 2017  error -15 reading relation 202824293
Fri Jun 23 01:15:21 2017  error -5 reading relation 204496062
Fri Jun 23 01:15:41 2017  error -15 reading relation 207088669
Fri Jun 23 01:15:44 2017  error -9 reading relation 207544857
Fri Jun 23 01:16:24 2017  error -15 reading relation 212589964
Fri Jun 23 01:16:33 2017  error -1 reading relation 213789059
Fri Jun 23 01:16:34 2017  error -9 reading relation 213871682
Fri Jun 23 01:17:50 2017  error -5 reading relation 223686199
Fri Jun 23 01:17:50 2017  error -1 reading relation 223686743
Fri Jun 23 01:17:50 2017  error -15 reading relation 223690495
Fri Jun 23 01:17:50 2017  error -15 reading relation 223699273
Fri Jun 23 01:18:10 2017  error -15 reading relation 226204436
Fri Jun 23 01:18:23 2017  error -15 reading relation 227881363
Fri Jun 23 01:19:19 2017  error -9 reading relation 235109730
Fri Jun 23 01:19:29 2017  error -1 reading relation 236411839
Fri Jun 23 01:20:14 2017  error -1 reading relation 242258014
Fri Jun 23 01:20:14 2017  error -1 reading relation 242276819
Fri Jun 23 01:20:15 2017  error -5 reading relation 242343806
Fri Jun 23 01:20:42 2017  skipped 6 relations with composite factors
Fri Jun 23 01:20:42 2017  found 44134560 hash collisions in 245822986 relations
Fri Jun 23 01:21:10 2017  added 121780 free relations
Fri Jun 23 01:21:10 2017  commencing duplicate removal, pass 2
Fri Jun 23 01:24:42 2017  found 40945641 duplicates and 204999125 unique relations
Fri Jun 23 01:24:42 2017  memory use: 1321.5 MB
Fri Jun 23 01:24:42 2017  reading ideals above 110034944
Fri Jun 23 01:24:42 2017  commencing singleton removal, initial pass
Fri Jun 23 01:44:14 2017  memory use: 3012.0 MB
Fri Jun 23 01:44:14 2017  reading all ideals from disk
Fri Jun 23 01:44:26 2017  memory use: 3462.9 MB
Fri Jun 23 01:44:34 2017  commencing in-memory singleton removal
Fri Jun 23 01:44:41 2017  begin with 204999125 relations and 160738080 unique ideals
Fri Jun 23 01:46:04 2017  reduce to 138826395 relations and 88179478 ideals in 14 passes
Fri Jun 23 01:46:04 2017  max relations containing the same ideal: 27
Fri Jun 23 01:46:11 2017  reading ideals above 720000
Fri Jun 23 01:46:11 2017  commencing singleton removal, initial pass
Fri Jun 23 02:02:40 2017  memory use: 2756.0 MB
Fri Jun 23 02:02:40 2017  reading all ideals from disk
Fri Jun 23 02:02:58 2017  memory use: 5232.2 MB
Fri Jun 23 02:03:12 2017  keeping 100056206 ideals with weight <= 200, target excess is 728396
Fri Jun 23 02:03:27 2017  commencing in-memory singleton removal
Fri Jun 23 02:03:38 2017  begin with 138826395 relations and 100056206 unique ideals
Fri Jun 23 02:05:05 2017  reduce to 138824091 relations and 100053902 ideals in 8 passes
Fri Jun 23 02:05:05 2017  max relations containing the same ideal: 200
Fri Jun 23 02:05:59 2017  removing 9596761 relations and 7596761 ideals in 2000000 cliques
Fri Jun 23 02:06:02 2017  commencing in-memory singleton removal
Fri Jun 23 02:06:12 2017  begin with 129227330 relations and 100053902 unique ideals
Fri Jun 23 02:07:33 2017  reduce to 128725748 relations and 91946257 ideals in 8 passes
Fri Jun 23 02:07:33 2017  max relations containing the same ideal: 197
Fri Jun 23 02:08:23 2017  removing 7306510 relations and 5306510 ideals in 2000000 cliques
Fri Jun 23 02:08:25 2017  commencing in-memory singleton removal
Fri Jun 23 02:08:35 2017  begin with 121419238 relations and 91946257 unique ideals
Fri Jun 23 02:09:41 2017  reduce to 121083567 relations and 86298594 ideals in 7 passes
Fri Jun 23 02:09:41 2017  max relations containing the same ideal: 193
Fri Jun 23 02:10:28 2017  removing 6659883 relations and 4659883 ideals in 2000000 cliques
Fri Jun 23 02:10:30 2017  commencing in-memory singleton removal
Fri Jun 23 02:10:39 2017  begin with 114423684 relations and 86298594 unique ideals
Fri Jun 23 02:11:32 2017  reduce to 114135784 relations and 81346113 ideals in 6 passes
Fri Jun 23 02:11:32 2017  max relations containing the same ideal: 190
Fri Jun 23 02:12:17 2017  removing 6320318 relations and 4320318 ideals in 2000000 cliques
Fri Jun 23 02:12:19 2017  commencing in-memory singleton removal
Fri Jun 23 02:12:28 2017  begin with 107815466 relations and 81346113 unique ideals
Fri Jun 23 02:13:17 2017  reduce to 107552997 relations and 76758837 ideals in 6 passes
Fri Jun 23 02:13:17 2017  max relations containing the same ideal: 181
Fri Jun 23 02:14:00 2017  removing 6100702 relations and 4100702 ideals in 2000000 cliques
Fri Jun 23 02:14:02 2017  commencing in-memory singleton removal
Fri Jun 23 02:14:10 2017  begin with 101452295 relations and 76758837 unique ideals
Fri Jun 23 02:14:56 2017  reduce to 101203476 relations and 72404968 ideals in 6 passes
Fri Jun 23 02:14:56 2017  max relations containing the same ideal: 177
Fri Jun 23 02:15:36 2017  removing 5943970 relations and 3943970 ideals in 2000000 cliques
Fri Jun 23 02:15:39 2017  commencing in-memory singleton removal
Fri Jun 23 02:15:46 2017  begin with 95259506 relations and 72404968 unique ideals
Fri Jun 23 02:16:29 2017  reduce to 95016736 relations and 68213757 ideals in 6 passes
Fri Jun 23 02:16:29 2017  max relations containing the same ideal: 167
Fri Jun 23 02:17:07 2017  removing 5824436 relations and 3824436 ideals in 2000000 cliques
Fri Jun 23 02:17:09 2017  commencing in-memory singleton removal
Fri Jun 23 02:17:16 2017  begin with 89192300 relations and 68213757 unique ideals
Fri Jun 23 02:17:57 2017  reduce to 88953218 relations and 64145517 ideals in 6 passes
Fri Jun 23 02:17:57 2017  max relations containing the same ideal: 160
Fri Jun 23 02:18:32 2017  removing 5733576 relations and 3733576 ideals in 2000000 cliques
Fri Jun 23 02:18:34 2017  commencing in-memory singleton removal
Fri Jun 23 02:18:40 2017  begin with 83219642 relations and 64145517 unique ideals
Fri Jun 23 02:19:18 2017  reduce to 82980424 relations and 60167741 ideals in 6 passes
Fri Jun 23 02:19:18 2017  max relations containing the same ideal: 154
Fri Jun 23 02:19:51 2017  removing 5659524 relations and 3659524 ideals in 2000000 cliques
Fri Jun 23 02:19:53 2017  commencing in-memory singleton removal
Fri Jun 23 02:19:59 2017  begin with 77320900 relations and 60167741 unique ideals
Fri Jun 23 02:20:33 2017  reduce to 77078829 relations and 56260713 ideals in 6 passes
Fri Jun 23 02:20:33 2017  max relations containing the same ideal: 146
Fri Jun 23 02:21:04 2017  removing 5602575 relations and 3602575 ideals in 2000000 cliques
Fri Jun 23 02:21:06 2017  commencing in-memory singleton removal
Fri Jun 23 02:21:11 2017  begin with 71476254 relations and 56260713 unique ideals
Fri Jun 23 02:21:43 2017  reduce to 71228741 relations and 52404799 ideals in 6 passes
Fri Jun 23 02:21:43 2017  max relations containing the same ideal: 138
Fri Jun 23 02:22:11 2017  removing 5555357 relations and 3555357 ideals in 2000000 cliques
Fri Jun 23 02:22:13 2017  commencing in-memory singleton removal
Fri Jun 23 02:22:18 2017  begin with 65673384 relations and 52404799 unique ideals
Fri Jun 23 02:22:47 2017  reduce to 65417120 relations and 48586552 ideals in 6 passes
Fri Jun 23 02:22:47 2017  max relations containing the same ideal: 134
Fri Jun 23 02:23:13 2017  removing 5520035 relations and 3520035 ideals in 2000000 cliques
Fri Jun 23 02:23:15 2017  commencing in-memory singleton removal
Fri Jun 23 02:23:20 2017  begin with 59897085 relations and 48586552 unique ideals
Fri Jun 23 02:23:46 2017  reduce to 59629869 relations and 44792003 ideals in 6 passes
Fri Jun 23 02:23:46 2017  max relations containing the same ideal: 125
Fri Jun 23 02:24:10 2017  removing 5491664 relations and 3491664 ideals in 2000000 cliques
Fri Jun 23 02:24:12 2017  commencing in-memory singleton removal
Fri Jun 23 02:24:16 2017  begin with 54138205 relations and 44792003 unique ideals
Fri Jun 23 02:24:39 2017  reduce to 53854585 relations and 41008408 ideals in 6 passes
Fri Jun 23 02:24:39 2017  max relations containing the same ideal: 115
Fri Jun 23 02:25:01 2017  removing 5471759 relations and 3471759 ideals in 2000000 cliques
Fri Jun 23 02:25:03 2017  commencing in-memory singleton removal
Fri Jun 23 02:25:06 2017  begin with 48382826 relations and 41008408 unique ideals
Fri Jun 23 02:25:27 2017  reduce to 48078733 relations and 37222744 ideals in 6 passes
Fri Jun 23 02:25:27 2017  max relations containing the same ideal: 105
Fri Jun 23 02:25:46 2017  removing 5456906 relations and 3456906 ideals in 2000000 cliques
Fri Jun 23 02:25:48 2017  commencing in-memory singleton removal
Fri Jun 23 02:25:51 2017  begin with 42621827 relations and 37222744 unique ideals
Fri Jun 23 02:26:09 2017  reduce to 42291117 relations and 33423531 ideals in 6 passes
Fri Jun 23 02:26:09 2017  max relations containing the same ideal: 97
Fri Jun 23 02:26:26 2017  removing 5448175 relations and 3448175 ideals in 2000000 cliques
Fri Jun 23 02:26:28 2017  commencing in-memory singleton removal
Fri Jun 23 02:26:30 2017  begin with 36842942 relations and 33423531 unique ideals
Fri Jun 23 02:26:48 2017  reduce to 36478646 relations and 29596624 ideals in 7 passes
Fri Jun 23 02:26:48 2017  max relations containing the same ideal: 92
Fri Jun 23 02:27:03 2017  removing 5442098 relations and 3442098 ideals in 2000000 cliques
Fri Jun 23 02:27:05 2017  commencing in-memory singleton removal
Fri Jun 23 02:27:07 2017  begin with 31036548 relations and 29596624 unique ideals
Fri Jun 23 02:27:22 2017  reduce to 30621713 relations and 25720899 ideals in 7 passes
Fri Jun 23 02:27:22 2017  max relations containing the same ideal: 84
Fri Jun 23 02:27:34 2017  removing 5439011 relations and 3439011 ideals in 2000000 cliques
Fri Jun 23 02:27:36 2017  commencing in-memory singleton removal
Fri Jun 23 02:27:38 2017  begin with 25182702 relations and 25720899 unique ideals
Fri Jun 23 02:27:48 2017  reduce to 24689124 relations and 21762232 ideals in 6 passes
Fri Jun 23 02:27:48 2017  max relations containing the same ideal: 70
Fri Jun 23 02:27:58 2017  removing 5443180 relations and 3443180 ideals in 2000000 cliques
Fri Jun 23 02:27:59 2017  commencing in-memory singleton removal
Fri Jun 23 02:28:01 2017  begin with 19245944 relations and 21762232 unique ideals
Fri Jun 23 02:28:10 2017  reduce to 18600263 relations and 17630895 ideals in 8 passes
Fri Jun 23 02:28:10 2017  max relations containing the same ideal: 61
Fri Jun 23 02:28:18 2017  removing 561101 relations and 436673 ideals in 124428 cliques
Fri Jun 23 02:28:19 2017  commencing in-memory singleton removal
Fri Jun 23 02:28:20 2017  begin with 18039162 relations and 17630895 unique ideals
Fri Jun 23 02:28:26 2017  reduce to 18024492 relations and 17179469 ideals in 5 passes
Fri Jun 23 02:28:26 2017  max relations containing the same ideal: 61
Fri Jun 23 02:28:28 2017  relations with 0 large ideals: 2322
Fri Jun 23 02:28:28 2017  relations with 1 large ideals: 23769
Fri Jun 23 02:28:28 2017  relations with 2 large ideals: 288291
Fri Jun 23 02:28:28 2017  relations with 3 large ideals: 1399520
Fri Jun 23 02:28:28 2017  relations with 4 large ideals: 3484741
Fri Jun 23 02:28:28 2017  relations with 5 large ideals: 4991660
Fri Jun 23 02:28:28 2017  relations with 6 large ideals: 4406921
Fri Jun 23 02:28:28 2017  relations with 7+ large ideals: 3427268
Fri Jun 23 02:28:28 2017  commencing 2-way merge
Fri Jun 23 02:28:37 2017  reduce to 12141109 relation sets and 11296086 unique ideals
Fri Jun 23 02:28:37 2017  commencing full merge
Fri Jun 23 02:32:29 2017  memory use: 1419.5 MB
Fri Jun 23 02:32:30 2017  found 5256133 cycles, need 5212286
Fri Jun 23 02:32:31 2017  weight of 5212286 cycles is about 730390107 (140.13/cycle)
Fri Jun 23 02:32:31 2017  distribution of cycle lengths:
Fri Jun 23 02:32:31 2017  1 relations: 79328
Fri Jun 23 02:32:31 2017  2 relations: 208872
Fri Jun 23 02:32:31 2017  3 relations: 283201
Fri Jun 23 02:32:31 2017  4 relations: 324808
Fri Jun 23 02:32:31 2017  5 relations: 361773
Fri Jun 23 02:32:31 2017  6 relations: 376613
Fri Jun 23 02:32:31 2017  7 relations: 383847
Fri Jun 23 02:32:31 2017  8 relations: 376262
Fri Jun 23 02:32:31 2017  9 relations: 362455
Fri Jun 23 02:32:31 2017  10+ relations: 2455127
Fri Jun 23 02:32:31 2017  heaviest cycle: 28 relations
Fri Jun 23 02:32:32 2017  commencing cycle optimization
Fri Jun 23 02:32:42 2017  start with 51761166 relations
Fri Jun 23 02:34:37 2017  pruned 2984265 relations
Fri Jun 23 02:34:37 2017  memory use: 1275.9 MB
Fri Jun 23 02:34:37 2017  distribution of cycle lengths:
Fri Jun 23 02:34:37 2017  1 relations: 79328
Fri Jun 23 02:34:37 2017  2 relations: 215350
Fri Jun 23 02:34:37 2017  3 relations: 297460
Fri Jun 23 02:34:37 2017  4 relations: 342281
Fri Jun 23 02:34:37 2017  5 relations: 385727
Fri Jun 23 02:34:37 2017  6 relations: 402761
Fri Jun 23 02:34:37 2017  7 relations: 413031
Fri Jun 23 02:34:37 2017  8 relations: 403478
Fri Jun 23 02:34:37 2017  9 relations: 387621
Fri Jun 23 02:34:37 2017  10+ relations: 2285249
Fri Jun 23 02:34:37 2017  heaviest cycle: 28 relations
Fri Jun 23 02:34:45 2017  RelProcTime: 6340
Fri Jun 23 02:34:45 2017
Fri Jun 23 02:34:45 2017  commencing linear algebra
Fri Jun 23 02:34:47 2017  read 5212286 cycles
Fri Jun 23 02:34:58 2017  cycles contain 17650787 unique relations
Fri Jun 23 02:38:07 2017  read 17650787 relations
Fri Jun 23 02:38:35 2017  using 20 quadratic characters above 4294917295
Fri Jun 23 02:39:42 2017  building initial matrix
Fri Jun 23 02:43:13 2017  memory use: 2450.3 MB
Fri Jun 23 02:43:16 2017  read 5212286 cycles
Fri Jun 23 02:43:16 2017  matrix is 5212108 x 5212286 (2772.5 MB) with weight 826092114 (158.49/col)
Fri Jun 23 02:43:16 2017  sparse part has weight 664238222 (127.44/col)
Fri Jun 23 02:44:21 2017  filtering completed in 2 passes
Fri Jun 23 02:44:22 2017  matrix is 5212029 x 5212207 (2772.5 MB) with weight 826088083 (158.49/col)
Fri Jun 23 02:44:22 2017  sparse part has weight 664236630 (127.44/col)
Fri Jun 23 02:44:39 2017  matrix starts at (0, 0)
Fri Jun 23 02:44:40 2017  matrix is 5212029 x 5212207 (2772.5 MB) with weight 826088083 (158.49/col)
Fri Jun 23 02:44:40 2017  sparse part has weight 664236630 (127.44/col)
Fri Jun 23 02:44:40 2017  saving the first 48 matrix rows for later
Fri Jun 23 02:44:41 2017  matrix includes 64 packed rows
Fri Jun 23 02:44:42 2017  matrix is 5211981 x 5212207 (2691.0 MB) with weight 719645888 (138.07/col)
Fri Jun 23 02:44:42 2017  sparse part has weight 653309320 (125.34/col)
Fri Jun 23 02:44:42 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Fri Jun 23 02:45:04 2017  commencing Lanczos iteration (8 threads)
Fri Jun 23 02:45:04 2017  memory use: 2231.0 MB
Fri Jun 23 02:45:26 2017  linear algebra at 0.0%, ETA 20h 2m
Fri Jun 23 02:45:33 2017  checkpointing every 260000 dimensions
Sat Jun 24 02:26:42 2017  lanczos halted after 82423 iterations (dim = 5211979)
Sat Jun 24 02:26:48 2017  recovered 30 nontrivial dependencies
Sat Jun 24 02:26:48 2017  BLanczosTime: 85923
Sat Jun 24 02:26:48 2017
Sat Jun 24 02:26:48 2017  commencing square root phase
Sat Jun 24 02:26:48 2017  handling dependencies 1 to 64
Sat Jun 24 02:26:48 2017  reading relations for dependency 1
Sat Jun 24 02:26:49 2017  read 2605581 cycles
Sat Jun 24 02:26:55 2017  cycles contain 8824506 unique relations
Sat Jun 24 02:28:33 2017  read 8824506 relations
Sat Jun 24 02:29:08 2017  multiplying 8824506 relations
Sat Jun 24 02:36:31 2017  multiply complete, coefficients have about 485.29 million bits
Sat Jun 24 02:36:34 2017  initial square root is modulo 510019021
Sat Jun 24 02:45:23 2017  GCD is 1, no factor found
Sat Jun 24 02:45:23 2017  reading relations for dependency 2
Sat Jun 24 02:45:24 2017  read 2606468 cycles
Sat Jun 24 02:45:29 2017  cycles contain 8824158 unique relations
Sat Jun 24 02:47:05 2017  read 8824158 relations
Sat Jun 24 02:47:39 2017  multiplying 8824158 relations
Sat Jun 24 02:54:59 2017  multiply complete, coefficients have about 485.27 million bits
Sat Jun 24 02:55:01 2017  initial square root is modulo 509583889
Sat Jun 24 03:03:51 2017  GCD is N, no factor found
Sat Jun 24 03:03:51 2017  reading relations for dependency 3
Sat Jun 24 03:03:51 2017  read 2605339 cycles
Sat Jun 24 03:03:56 2017  cycles contain 8820692 unique relations
Sat Jun 24 03:05:32 2017  read 8820692 relations
Sat Jun 24 03:06:07 2017  multiplying 8820692 relations
Sat Jun 24 03:13:26 2017  multiply complete, coefficients have about 485.08 million bits
Sat Jun 24 03:13:28 2017  initial square root is modulo 505658689
Sat Jun 24 03:22:14 2017  GCD is 1, no factor found
Sat Jun 24 03:22:14 2017  reading relations for dependency 4
Sat Jun 24 03:22:15 2017  read 2606204 cycles
Sat Jun 24 03:22:19 2017  cycles contain 8824706 unique relations
Sat Jun 24 03:23:54 2017  read 8824706 relations
Sat Jun 24 03:24:28 2017  multiplying 8824706 relations
Sat Jun 24 03:31:44 2017  multiply complete, coefficients have about 485.30 million bits
Sat Jun 24 03:31:47 2017  initial square root is modulo 510356687
Sat Jun 24 03:40:32 2017  GCD is N, no factor found
Sat Jun 24 03:40:32 2017  reading relations for dependency 5
Sat Jun 24 03:40:33 2017  read 2603460 cycles
Sat Jun 24 03:40:38 2017  cycles contain 8821348 unique relations
Sat Jun 24 03:42:13 2017  read 8821348 relations
Sat Jun 24 03:42:47 2017  multiplying 8821348 relations
Sat Jun 24 03:50:03 2017  multiply complete, coefficients have about 485.11 million bits
Sat Jun 24 03:50:05 2017  initial square root is modulo 506363369
Sat Jun 24 03:58:50 2017  sqrtTime: 5522
Sat Jun 24 03:58:50 2017  p68 factor: 13463755899043165878733461047409670653626965058287209025054082309489
Sat Jun 24 03:58:50 2017  p97 factor: 3610957597862195892992215249949270949813588750241210253972434052057259224615006478296401320670049
Sat Jun 24 03:58:50 2017  elapsed time 27:09:45