6_317_minus_5_317

Sun Apr 03 02:09:09 2016
Sun Apr 03 02:09:09 2016
Sun Apr 03 02:09:09 2016  Msieve v. 1.52 (SVN 946)
Sun Apr 03 02:09:09 2016  random seeds: ba954054 704cdf86
Sun Apr 03 02:09:09 2016  factoring 2251728689024361263727014375541391827211216177027479398178323352160670377308439958120308290682696620724034459143545042355949198749920165622121074378824321099522474234696862304417593850944792567216859162033 (205 digits)
Sun Apr 03 02:09:10 2016  no P-1/P+1/ECM available, skipping
Sun Apr 03 02:09:10 2016  commencing number field sieve (205-digit input)
Sun Apr 03 02:09:10 2016  R0: 174588755932389037098918153698611839369216
Sun Apr 03 02:09:10 2016  R1: -11102230246251565404236316680908203125
Sun Apr 03 02:09:10 2016  A0: -6
Sun Apr 03 02:09:10 2016  A1: 0
Sun Apr 03 02:09:10 2016  A2: 0
Sun Apr 03 02:09:10 2016  A3: 0
Sun Apr 03 02:09:10 2016  A4: 0
Sun Apr 03 02:09:10 2016  A5: 0
Sun Apr 03 02:09:10 2016  A6: 5
Sun Apr 03 02:09:10 2016  skew 1.00, size 2.163e-012, alpha 2.541, combined = 2.085e-013 rroots = 2
Sun Apr 03 02:09:10 2016
Sun Apr 03 02:09:10 2016  commencing relation filtering
Sun Apr 03 02:09:10 2016  setting target matrix density to 120.0
Sun Apr 03 02:09:10 2016  estimated available RAM is 16331.2 MB
Sun Apr 03 02:09:10 2016  commencing duplicate removal, pass 1
<errors reading relations>
Sun Apr 03 02:42:01 2016  skipped 87 relations with b > 2^32
Sun Apr 03 02:42:01 2016  found 49104051 hash collisions in 223874284 relations
Sun Apr 03 02:42:30 2016  added 1219988 free relations
Sun Apr 03 02:42:30 2016  commencing duplicate removal, pass 2
Sun Apr 03 02:44:15 2016  found 51045388 duplicates and 174048884 unique relations
Sun Apr 03 02:44:15 2016  memory use: 1321.5 MB
Sun Apr 03 02:44:16 2016  reading ideals above 173473792
Sun Apr 03 02:44:16 2016  commencing singleton removal, initial pass
Sun Apr 03 03:12:43 2016  memory use: 3012.0 MB
Sun Apr 03 03:12:43 2016  reading all ideals from disk
Sun Apr 03 03:12:50 2016  memory use: 3007.8 MB
Sun Apr 03 03:12:56 2016  commencing in-memory singleton removal
Sun Apr 03 03:13:01 2016  begin with 174048884 relations and 152190317 unique ideals
Sun Apr 03 03:13:54 2016  reduce to 99827209 relations and 69048606 ideals in 15 passes
Sun Apr 03 03:13:54 2016  max relations containing the same ideal: 31
Sun Apr 03 03:14:00 2016  reading ideals above 720000
Sun Apr 03 03:14:01 2016  commencing singleton removal, initial pass
Sun Apr 03 03:36:28 2016  memory use: 2756.0 MB
Sun Apr 03 03:36:28 2016  reading all ideals from disk
Sun Apr 03 03:36:39 2016  memory use: 3968.7 MB
Sun Apr 03 03:36:49 2016  keeping 87909743 ideals with weight <= 200, target excess is 516548
Sun Apr 03 03:37:00 2016  commencing in-memory singleton removal
Sun Apr 03 03:37:08 2016  begin with 99827210 relations and 87909743 unique ideals
Sun Apr 03 03:38:20 2016  reduce to 99783406 relations and 87865905 ideals in 9 passes
Sun Apr 03 03:38:20 2016  max relations containing the same ideal: 200
Sun Apr 03 03:39:03 2016  removing 12093341 relations and 10093341 ideals in 2000000 cliques
Sun Apr 03 03:39:06 2016  commencing in-memory singleton removal
Sun Apr 03 03:39:13 2016  begin with 87690065 relations and 87865905 unique ideals
Sun Apr 03 03:40:17 2016  reduce to 86635208 relations and 76690957 ideals in 9 passes
Sun Apr 03 03:40:17 2016  max relations containing the same ideal: 191
Sun Apr 03 03:40:55 2016  removing 9129404 relations and 7129404 ideals in 2000000 cliques
Sun Apr 03 03:40:58 2016  commencing in-memory singleton removal
Sun Apr 03 03:41:04 2016  begin with 77505804 relations and 76690957 unique ideals
Sun Apr 03 03:41:59 2016  reduce to 76801401 relations and 68840953 ideals in 9 passes
Sun Apr 03 03:41:59 2016  max relations containing the same ideal: 179
Sun Apr 03 03:42:33 2016  removing 8216611 relations and 6216611 ideals in 2000000 cliques
Sun Apr 03 03:42:35 2016  commencing in-memory singleton removal
Sun Apr 03 03:42:41 2016  begin with 68584790 relations and 68840953 unique ideals
Sun Apr 03 03:43:24 2016  reduce to 67951369 relations and 61975598 ideals in 8 passes
Sun Apr 03 03:43:24 2016  max relations containing the same ideal: 165
Sun Apr 03 03:43:54 2016  removing 7742492 relations and 5742492 ideals in 2000000 cliques
Sun Apr 03 03:43:56 2016  commencing in-memory singleton removal
Sun Apr 03 03:44:01 2016  begin with 60208877 relations and 61975598 unique ideals
Sun Apr 03 03:44:43 2016  reduce to 59581640 relations and 55589670 ideals in 9 passes
Sun Apr 03 03:44:43 2016  max relations containing the same ideal: 152
Sun Apr 03 03:45:09 2016  removing 7453664 relations and 5453664 ideals in 2000000 cliques
Sun Apr 03 03:45:11 2016  commencing in-memory singleton removal
Sun Apr 03 03:45:15 2016  begin with 52127976 relations and 55589670 unique ideals
Sun Apr 03 03:45:48 2016  reduce to 51466719 relations and 49455248 ideals in 8 passes
Sun Apr 03 03:45:48 2016  max relations containing the same ideal: 136
Sun Apr 03 03:46:10 2016  removing 5513496 relations and 4101221 ideals in 1412275 cliques
Sun Apr 03 03:46:12 2016  commencing in-memory singleton removal
Sun Apr 03 03:46:15 2016  begin with 45953223 relations and 49455248 unique ideals
Sun Apr 03 03:46:43 2016  reduce to 45544333 relations and 44935348 ideals in 8 passes
Sun Apr 03 03:46:43 2016  max relations containing the same ideal: 126
Sun Apr 03 03:47:04 2016  removing 79121 relations and 69332 ideals in 9789 cliques
Sun Apr 03 03:47:05 2016  commencing in-memory singleton removal
Sun Apr 03 03:47:08 2016  begin with 45465212 relations and 44935348 unique ideals
Sun Apr 03 03:47:18 2016  reduce to 45465150 relations and 44865954 ideals in 3 passes
Sun Apr 03 03:47:18 2016  max relations containing the same ideal: 126
Sun Apr 03 03:47:28 2016  relations with 0 large ideals: 19664
Sun Apr 03 03:47:28 2016  relations with 1 large ideals: 4317
Sun Apr 03 03:47:28 2016  relations with 2 large ideals: 59138
Sun Apr 03 03:47:28 2016  relations with 3 large ideals: 489233
Sun Apr 03 03:47:28 2016  relations with 4 large ideals: 2243347
Sun Apr 03 03:47:28 2016  relations with 5 large ideals: 6188148
Sun Apr 03 03:47:28 2016  relations with 6 large ideals: 10760001
Sun Apr 03 03:47:28 2016  relations with 7+ large ideals: 25701302
Sun Apr 03 03:47:28 2016  commencing 2-way merge
Sun Apr 03 03:47:56 2016  reduce to 30032815 relation sets and 29433619 unique ideals
Sun Apr 03 03:47:56 2016  commencing full merge
Sun Apr 03 04:14:01 2016  memory use: 1357.6 MB
Sun Apr 03 04:14:14 2016  found 74102 cycles, need 6225748
Sun Apr 03 04:14:14 2016  too few cycles, matrix probably cannot build
Mon Apr 04 18:04:09 2016
Mon Apr 04 18:04:09 2016
Mon Apr 04 18:04:09 2016  Msieve v. 1.52 (SVN 946)
Mon Apr 04 18:04:09 2016  random seeds: b4172c7c 84826d34
Mon Apr 04 18:04:09 2016  factoring 2251728689024361263727014375541391827211216177027479398178323352160670377308439958120308290682696620724034459143545042355949198749920165622121074378824321099522474234696862304417593850944792567216859162033 (205 digits)
Mon Apr 04 18:04:10 2016  no P-1/P+1/ECM available, skipping
Mon Apr 04 18:04:10 2016  commencing number field sieve (205-digit input)
Mon Apr 04 18:04:10 2016  R0: 174588755932389037098918153698611839369216
Mon Apr 04 18:04:10 2016  R1: -11102230246251565404236316680908203125
Mon Apr 04 18:04:10 2016  A0: -6
Mon Apr 04 18:04:10 2016  A1: 0
Mon Apr 04 18:04:10 2016  A2: 0
Mon Apr 04 18:04:10 2016  A3: 0
Mon Apr 04 18:04:10 2016  A4: 0
Mon Apr 04 18:04:10 2016  A5: 0
Mon Apr 04 18:04:10 2016  A6: 5
Mon Apr 04 18:04:10 2016  skew 1.00, size 2.163e-012, alpha 2.541, combined = 2.085e-013 rroots = 2
Mon Apr 04 18:04:10 2016
Mon Apr 04 18:04:10 2016  commencing relation filtering
Mon Apr 04 18:04:10 2016  setting target matrix density to 115.0
Mon Apr 04 18:04:10 2016  estimated available RAM is 16331.2 MB
Mon Apr 04 18:04:10 2016  commencing duplicate removal, pass 1
<errors reading relations>
Mon Apr 04 18:37:12 2016  skipped 87 relations with b > 2^32
Mon Apr 04 18:37:12 2016  found 49175572 hash collisions in 225094272 relations
Mon Apr 04 18:37:32 2016  commencing duplicate removal, pass 2
Mon Apr 04 18:39:08 2016  found 51045388 duplicates and 174048884 unique relations
Mon Apr 04 18:39:08 2016  memory use: 1321.5 MB
Mon Apr 04 18:39:08 2016  reading ideals above 173473792
Mon Apr 04 18:39:08 2016  commencing singleton removal, initial pass
Mon Apr 04 19:07:10 2016  memory use: 3012.0 MB
Mon Apr 04 19:07:10 2016  reading all ideals from disk
Mon Apr 04 19:07:17 2016  memory use: 3007.8 MB
Mon Apr 04 19:07:22 2016  commencing in-memory singleton removal
Mon Apr 04 19:07:27 2016  begin with 174048884 relations and 152190317 unique ideals
Mon Apr 04 19:08:20 2016  reduce to 99827209 relations and 69048606 ideals in 15 passes
Mon Apr 04 19:08:20 2016  max relations containing the same ideal: 31
Mon Apr 04 19:08:27 2016  reading ideals above 720000
Mon Apr 04 19:08:27 2016  commencing singleton removal, initial pass
Mon Apr 04 19:27:26 2016  memory use: 2756.0 MB
Mon Apr 04 19:27:26 2016  reading all ideals from disk
Mon Apr 04 19:27:36 2016  memory use: 3968.7 MB
Mon Apr 04 19:27:46 2016  keeping 87909743 ideals with weight <= 200, target excess is 516548
Mon Apr 04 19:27:57 2016  commencing in-memory singleton removal
Mon Apr 04 19:28:05 2016  begin with 99827210 relations and 87909743 unique ideals
Mon Apr 04 19:29:17 2016  reduce to 99783406 relations and 87865905 ideals in 9 passes
Mon Apr 04 19:29:17 2016  max relations containing the same ideal: 200
Mon Apr 04 19:30:00 2016  removing 12093341 relations and 10093341 ideals in 2000000 cliques
Mon Apr 04 19:30:03 2016  commencing in-memory singleton removal
Mon Apr 04 19:30:10 2016  begin with 87690065 relations and 87865905 unique ideals
Mon Apr 04 19:31:14 2016  reduce to 86635208 relations and 76690957 ideals in 9 passes
Mon Apr 04 19:31:14 2016  max relations containing the same ideal: 191
Mon Apr 04 19:31:51 2016  removing 9129404 relations and 7129404 ideals in 2000000 cliques
Mon Apr 04 19:31:54 2016  commencing in-memory singleton removal
Mon Apr 04 19:32:00 2016  begin with 77505804 relations and 76690957 unique ideals
Mon Apr 04 19:32:56 2016  reduce to 76801401 relations and 68840953 ideals in 9 passes
Mon Apr 04 19:32:56 2016  max relations containing the same ideal: 179
Mon Apr 04 19:33:30 2016  removing 8216611 relations and 6216611 ideals in 2000000 cliques
Mon Apr 04 19:33:32 2016  commencing in-memory singleton removal
Mon Apr 04 19:33:37 2016  begin with 68584790 relations and 68840953 unique ideals
Mon Apr 04 19:34:20 2016  reduce to 67951369 relations and 61975598 ideals in 8 passes
Mon Apr 04 19:34:20 2016  max relations containing the same ideal: 165
Mon Apr 04 19:34:51 2016  removing 7742492 relations and 5742492 ideals in 2000000 cliques
Mon Apr 04 19:34:53 2016  commencing in-memory singleton removal
Mon Apr 04 19:34:58 2016  begin with 60208877 relations and 61975598 unique ideals
Mon Apr 04 19:35:40 2016  reduce to 59581640 relations and 55589670 ideals in 9 passes
Mon Apr 04 19:35:40 2016  max relations containing the same ideal: 152
Mon Apr 04 19:36:06 2016  removing 7453664 relations and 5453664 ideals in 2000000 cliques
Mon Apr 04 19:36:08 2016  commencing in-memory singleton removal
Mon Apr 04 19:36:12 2016  begin with 52127976 relations and 55589670 unique ideals
Mon Apr 04 19:36:44 2016  reduce to 51466719 relations and 49455248 ideals in 8 passes
Mon Apr 04 19:36:44 2016  max relations containing the same ideal: 136
Mon Apr 04 19:37:07 2016  removing 5513496 relations and 4101221 ideals in 1412275 cliques
Mon Apr 04 19:37:09 2016  commencing in-memory singleton removal
Mon Apr 04 19:37:12 2016  begin with 45953223 relations and 49455248 unique ideals
Mon Apr 04 19:37:40 2016  reduce to 45544333 relations and 44935348 ideals in 8 passes
Mon Apr 04 19:37:40 2016  max relations containing the same ideal: 126
Mon Apr 04 19:38:01 2016  removing 79121 relations and 69332 ideals in 9789 cliques
Mon Apr 04 19:38:01 2016  commencing in-memory singleton removal
Mon Apr 04 19:38:05 2016  begin with 45465212 relations and 44935348 unique ideals
Mon Apr 04 19:38:15 2016  reduce to 45465150 relations and 44865954 ideals in 3 passes
Mon Apr 04 19:38:15 2016  max relations containing the same ideal: 126
Mon Apr 04 19:38:24 2016  relations with 0 large ideals: 19664
Mon Apr 04 19:38:24 2016  relations with 1 large ideals: 4317
Mon Apr 04 19:38:24 2016  relations with 2 large ideals: 59138
Mon Apr 04 19:38:24 2016  relations with 3 large ideals: 489233
Mon Apr 04 19:38:24 2016  relations with 4 large ideals: 2243347
Mon Apr 04 19:38:24 2016  relations with 5 large ideals: 6188148
Mon Apr 04 19:38:24 2016  relations with 6 large ideals: 10760001
Mon Apr 04 19:38:24 2016  relations with 7+ large ideals: 25701302
Mon Apr 04 19:38:24 2016  commencing 2-way merge
Mon Apr 04 19:38:52 2016  reduce to 30032815 relation sets and 29433619 unique ideals
Mon Apr 04 19:38:52 2016  commencing full merge
Mon Apr 04 19:50:17 2016  memory use: 3835.6 MB
Mon Apr 04 19:50:20 2016  found 13638174 cycles, need 13633819
Mon Apr 04 19:50:21 2016  weight of 13633819 cycles is about 1567922344 (115.00/cycle)
Mon Apr 04 19:50:21 2016  distribution of cycle lengths:
Mon Apr 04 19:50:21 2016  1 relations: 645563
Mon Apr 04 19:50:21 2016  2 relations: 904940
Mon Apr 04 19:50:21 2016  3 relations: 1048264
Mon Apr 04 19:50:21 2016  4 relations: 1074363
Mon Apr 04 19:50:21 2016  5 relations: 1077708
Mon Apr 04 19:50:21 2016  6 relations: 1041991
Mon Apr 04 19:50:21 2016  7 relations: 995035
Mon Apr 04 19:50:21 2016  8 relations: 932765
Mon Apr 04 19:50:21 2016  9 relations: 864812
Mon Apr 04 19:50:21 2016  10+ relations: 5048378
Mon Apr 04 19:50:21 2016  heaviest cycle: 28 relations
Mon Apr 04 19:50:23 2016  commencing cycle optimization
Mon Apr 04 19:50:44 2016  start with 116151716 relations
Mon Apr 04 19:55:42 2016  pruned 4994685 relations
Mon Apr 04 19:55:42 2016  memory use: 3093.9 MB
Mon Apr 04 19:55:42 2016  distribution of cycle lengths:
Mon Apr 04 19:55:42 2016  1 relations: 645563
Mon Apr 04 19:55:42 2016  2 relations: 928113
Mon Apr 04 19:55:42 2016  3 relations: 1093894
Mon Apr 04 19:55:42 2016  4 relations: 1118938
Mon Apr 04 19:55:42 2016  5 relations: 1128543
Mon Apr 04 19:55:42 2016  6 relations: 1087325
Mon Apr 04 19:55:42 2016  7 relations: 1039815
Mon Apr 04 19:55:42 2016  8 relations: 968655
Mon Apr 04 19:55:42 2016  9 relations: 894071
Mon Apr 04 19:55:42 2016  10+ relations: 4728902
Mon Apr 04 19:55:42 2016  heaviest cycle: 28 relations
Mon Apr 04 19:56:11 2016  RelProcTime: 6721
Mon Apr 04 19:56:11 2016
Mon Apr 04 19:56:11 2016  commencing linear algebra
Mon Apr 04 19:56:14 2016  read 13633819 cycles
Mon Apr 04 19:56:39 2016  cycles contain 45106819 unique relations
Mon Apr 04 20:03:49 2016  read 45106819 relations
Mon Apr 04 20:05:02 2016  using 20 quadratic characters above 2147482950
Mon Apr 04 20:08:15 2016  building initial matrix
Mon Apr 04 20:17:02 2016  memory use: 5750.9 MB
Mon Apr 04 20:17:12 2016  read 13633819 cycles
Mon Apr 04 20:17:15 2016  matrix is 13633642 x 13633819 (6124.5 MB) with weight 1743948219 (127.91/col)
Mon Apr 04 20:17:15 2016  sparse part has weight 1469173228 (107.76/col)
Mon Apr 04 20:20:07 2016  filtering completed in 2 passes
Mon Apr 04 20:20:11 2016  matrix is 13633568 x 13633745 (6124.5 MB) with weight 1743945728 (127.91/col)
Mon Apr 04 20:20:11 2016  sparse part has weight 1469172328 (107.76/col)
Mon Apr 04 20:20:59 2016  matrix starts at (0, 0)
Mon Apr 04 20:21:02 2016  matrix is 13633568 x 13633745 (6124.5 MB) with weight 1743945728 (127.91/col)
Mon Apr 04 20:21:02 2016  sparse part has weight 1469172328 (107.76/col)
Mon Apr 04 20:21:02 2016  saving the first 48 matrix rows for later
Mon Apr 04 20:21:06 2016  matrix includes 64 packed rows
Mon Apr 04 20:21:08 2016  matrix is 13633520 x 13633745 (5885.7 MB) with weight 1490861710 (109.35/col)
Mon Apr 04 20:21:08 2016  sparse part has weight 1406573562 (103.17/col)
Mon Apr 04 20:21:08 2016  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Mon Apr 04 20:22:26 2016  commencing Lanczos iteration (4 threads)
Mon Apr 04 20:22:26 2016  memory use: 5032.3 MB
Mon Apr 04 20:23:25 2016  linear algebra at 0.0%, ETA 140h 9m
Mon Apr 04 20:23:45 2016  checkpointing every 100000 dimensions
Mon Apr 11 04:28:00 2016  lanczos halted after 215607 iterations (dim = 13633515)
Mon Apr 11 04:28:32 2016  recovered 33 nontrivial dependencies
Mon Apr 11 04:28:45 2016  BLanczosTime: 549154
Mon Apr 11 04:28:45 2016
Mon Apr 11 04:28:45 2016  commencing square root phase
Mon Apr 11 04:28:45 2016  handling dependencies 1 to 64
Mon Apr 11 04:28:45 2016  reading relations for dependency 1
Mon Apr 11 04:28:48 2016  read 6817455 cycles
Mon Apr 11 04:29:00 2016  cycles contain 22553128 unique relations
Mon Apr 11 04:32:51 2016  read 22553128 relations
Mon Apr 11 04:34:40 2016  multiplying 22553128 relations
Mon Apr 11 04:56:15 2016  multiply complete, coefficients have about 619.80 million bits
Mon Apr 11 04:56:22 2016  initial square root is modulo 363541
Mon Apr 11 05:21:14 2016  sqrtTime: 3149
Mon Apr 11 05:21:14 2016  prp71 factor: 93289642830067569612638766839862923842757410657258400068632425436852959
Mon Apr 11 05:21:14 2016  prp134 factor: 24136963340357236722671996549199796034966228880740295572363828978355399830399331769967671916516043818231497686608740492554473486469487
Mon Apr 11 05:21:14 2016  elapsed time 155:17:05