Wed Mar 11 21:06:32 2026
Wed Mar 11 21:06:32 2026
Wed Mar 11 21:06:32 2026  Msieve v. 1.54 (SVN unknown)
Wed Mar 11 21:06:32 2026  random seeds: 79cb261f 966b6d27
Wed Mar 11 21:06:32 2026  factoring 1361133379956552796876956912059988708358413451507651542736030558470450203416377413407310196178587255550818724726325499817338831936188020434360371706664373851318296574253318880564981567085340224815838535699430157790614064718699857 (229 digits)
Wed Mar 11 21:06:32 2026  no P-1/P+1/ECM available, skipping
Wed Mar 11 21:06:32 2026  commencing number field sieve (229-digit input)
Wed Mar 11 21:06:32 2026  R0: 541055227350908745077822029077890118217
Wed Mar 11 21:06:32 2026  R1: -1
Wed Mar 11 21:06:32 2026  A0: 1
Wed Mar 11 21:06:32 2026  A1: 1
Wed Mar 11 21:06:32 2026  A2: 1
Wed Mar 11 21:06:32 2026  A3: 1
Wed Mar 11 21:06:32 2026  A4: 1
Wed Mar 11 21:06:32 2026  A5: 1
Wed Mar 11 21:06:32 2026  A6: 1
Wed Mar 11 21:06:32 2026  skew 1.35, size 1.668e-11, alpha 2.428, combined = 9.310e-13 rroots = 0
Wed Mar 11 21:06:32 2026
Wed Mar 11 21:06:32 2026  commencing relation filtering
Wed Mar 11 21:06:32 2026  setting target matrix density to 110.0
Wed Mar 11 21:06:32 2026  estimated available RAM is 95911.2 MB
Wed Mar 11 21:06:32 2026  commencing duplicate removal, pass 1
Wed Mar 11 21:07:30 2026  error -1 reading relation 12448677
Wed Mar 11 21:07:47 2026  error -9 reading relation 15812927
Wed Mar 11 21:07:52 2026  error -15 reading relation 16662318
Wed Mar 11 21:07:57 2026  error -1 reading relation 17766514
Wed Mar 11 21:08:10 2026  error -15 reading relation 20665945
Wed Mar 11 21:08:15 2026  error -9 reading relation 21705734
Wed Mar 11 21:08:33 2026  error -15 reading relation 25376814
Wed Mar 11 21:08:35 2026  error -15 reading relation 25592565
Wed Mar 11 21:08:36 2026  error -9 reading relation 25786353
Wed Mar 11 21:09:08 2026  error -5 reading relation 32484773
Wed Mar 11 21:09:09 2026  error -5 reading relation 32778274
Wed Mar 11 21:09:11 2026  error -5 reading relation 33188098
Wed Mar 11 21:09:45 2026  error -15 reading relation 40266747
Wed Mar 11 21:10:08 2026  error -15 reading relation 44954204
Wed Mar 11 21:11:07 2026  error -9 reading relation 57220947
Wed Mar 11 21:11:20 2026  error -5 reading relation 60088852
Wed Mar 11 21:11:29 2026  error -1 reading relation 61818970
Wed Mar 11 21:12:01 2026  error -9 reading relation 67985108
Wed Mar 11 21:12:16 2026  error -9 reading relation 71042783
Wed Mar 11 21:12:17 2026  error -9 reading relation 71456430
Wed Mar 11 21:12:18 2026  error -9 reading relation 71602582
Wed Mar 11 21:12:21 2026  error -9 reading relation 72199996
Wed Mar 11 21:12:23 2026  error -5 reading relation 72511843
Wed Mar 11 21:12:23 2026  error -9 reading relation 72646563
Wed Mar 11 21:12:24 2026  error -9 reading relation 72781773
Wed Mar 11 21:12:24 2026  error -15 reading relation 72880935
Wed Mar 11 21:12:25 2026  error -9 reading relation 72915220
Wed Mar 11 21:12:29 2026  error -9 reading relation 73812199
Wed Mar 11 21:12:41 2026  error -9 reading relation 76566761
Wed Mar 11 21:12:46 2026  error -15 reading relation 77462677
Wed Mar 11 21:12:50 2026  error -15 reading relation 78363332
Wed Mar 11 21:13:30 2026  error -15 reading relation 87692812
Wed Mar 11 21:13:46 2026  error -9 reading relation 91404070
Wed Mar 11 21:13:55 2026  error -9 reading relation 93320480
Wed Mar 11 21:14:00 2026  error -1 reading relation 94474904
Wed Mar 11 21:14:00 2026  error -9 reading relation 94682941
Wed Mar 11 21:14:01 2026  error -9 reading relation 94778602
Wed Mar 11 21:14:02 2026  error -9 reading relation 94939726
Wed Mar 11 21:14:03 2026  error -15 reading relation 95333516
Wed Mar 11 21:14:04 2026  error -9 reading relation 95445068
Wed Mar 11 21:14:04 2026  error -9 reading relation 95525498
Wed Mar 11 21:14:05 2026  error -15 reading relation 95763022
Wed Mar 11 21:14:06 2026  error -5 reading relation 95875689
Wed Mar 11 21:14:06 2026  error -1 reading relation 95942569
Wed Mar 11 21:14:06 2026  error -15 reading relation 96000425
Wed Mar 11 21:14:06 2026  error -1 reading relation 96002989
Wed Mar 11 21:14:06 2026  error -15 reading relation 96033948
Wed Mar 11 21:14:06 2026  error -1 reading relation 96036577
Wed Mar 11 21:14:07 2026  error -9 reading relation 96070873
Wed Mar 11 21:14:07 2026  error -15 reading relation 96177795
Wed Mar 11 21:14:13 2026  error -9 reading relation 97485805
Wed Mar 11 21:14:13 2026  error -9 reading relation 97563232
Wed Mar 11 21:14:13 2026  error -9 reading relation 97594506
Wed Mar 11 21:14:13 2026  error -9 reading relation 97661665
Wed Mar 11 21:14:16 2026  error -1 reading relation 98261647
Wed Mar 11 21:14:16 2026  error -9 reading relation 98385712
Wed Mar 11 21:14:16 2026  error -9 reading relation 98388315
Wed Mar 11 21:14:18 2026  error -15 reading relation 98857797
Wed Mar 11 21:14:18 2026  error -9 reading relation 98857951
Wed Mar 11 21:14:21 2026  error -15 reading relation 99327254
Wed Mar 11 21:14:23 2026  error -9 reading relation 99982019
Wed Mar 11 21:14:25 2026  error -9 reading relation 100503268
Wed Mar 11 21:14:31 2026  error -9 reading relation 101575232
Wed Mar 11 21:14:33 2026  error -9 reading relation 101917809
Wed Mar 11 21:16:05 2026  error -9 reading relation 123738914
Wed Mar 11 21:16:05 2026  error -9 reading relation 123812548
Wed Mar 11 21:16:06 2026  error -15 reading relation 123974791
Wed Mar 11 21:16:06 2026  error -1 reading relation 124037422
Wed Mar 11 21:16:06 2026  error -9 reading relation 124068097
Wed Mar 11 21:16:12 2026  error -9 reading relation 125303263
Wed Mar 11 21:16:12 2026  error -9 reading relation 125363829
Wed Mar 11 21:16:12 2026  error -15 reading relation 125469864
Wed Mar 11 21:16:13 2026  error -15 reading relation 125537193
Wed Mar 11 21:16:13 2026  error -9 reading relation 125736132
Wed Mar 11 21:16:14 2026  error -9 reading relation 125853950
Wed Mar 11 21:16:14 2026  error -15 reading relation 125954658
Wed Mar 11 21:16:15 2026  error -9 reading relation 126111046
Wed Mar 11 21:16:15 2026  error -9 reading relation 126138399
Wed Mar 11 21:16:16 2026  error -9 reading relation 126252196
Wed Mar 11 21:16:16 2026  error -9 reading relation 126324995
Wed Mar 11 21:16:23 2026  error -15 reading relation 127913077
Wed Mar 11 21:16:23 2026  error -15 reading relation 127923175
Wed Mar 11 21:16:26 2026  error -9 reading relation 128618745
Wed Mar 11 21:16:26 2026  error -5 reading relation 128629079
Wed Mar 11 21:16:27 2026  error -9 reading relation 128888380
Wed Mar 11 21:16:58 2026  skipped 7 relations with b > 2^32
Wed Mar 11 21:16:58 2026  skipped 37 relations with composite factors
Wed Mar 11 21:16:58 2026  found 25743992 hash collisions in 132720875 relations
Wed Mar 11 21:16:58 2026  commencing duplicate removal, pass 2
Wed Mar 11 21:19:41 2026  found 24566668 duplicates and 108154207 unique relations
Wed Mar 11 21:19:41 2026  memory use: 660.8 MB
Wed Mar 11 21:19:41 2026  reading ideals above 720000
Wed Mar 11 21:19:41 2026  commencing singleton removal, initial pass
Wed Mar 11 21:33:04 2026  memory use: 3012.0 MB
Wed Mar 11 21:33:05 2026  reading all ideals from disk
Wed Mar 11 21:33:07 2026  memory use: 4056.7 MB
Wed Mar 11 21:33:19 2026  keeping 112505863 ideals with weight <= 200, target excess is 558552
Wed Mar 11 21:33:41 2026  commencing in-memory singleton removal
Wed Mar 11 21:33:51 2026  begin with 108154207 relations and 112505863 unique ideals
Wed Mar 11 21:37:47 2026  reduce to 49139520 relations and 44773750 ideals in 19 passes
Wed Mar 11 21:37:47 2026  max relations containing the same ideal: 127
Wed Mar 11 21:38:22 2026  removing 3782093 relations and 3382093 ideals in 400000 cliques
Wed Mar 11 21:38:25 2026  commencing in-memory singleton removal
Wed Mar 11 21:38:30 2026  begin with 45357427 relations and 44773750 unique ideals
Wed Mar 11 21:40:29 2026  reduce to 45085904 relations and 41116924 ideals in 11 passes
Wed Mar 11 21:40:29 2026  max relations containing the same ideal: 118
Wed Mar 11 21:41:00 2026  removing 2804810 relations and 2404810 ideals in 400000 cliques
Wed Mar 11 21:41:03 2026  commencing in-memory singleton removal
Wed Mar 11 21:41:07 2026  begin with 42281094 relations and 41116924 unique ideals
Wed Mar 11 21:42:38 2026  reduce to 42119168 relations and 38548513 ideals in 9 passes
Wed Mar 11 21:42:38 2026  max relations containing the same ideal: 109
Wed Mar 11 21:43:09 2026  removing 2497814 relations and 2097814 ideals in 400000 cliques
Wed Mar 11 21:43:12 2026  commencing in-memory singleton removal
Wed Mar 11 21:43:15 2026  begin with 39621354 relations and 38548513 unique ideals
Wed Mar 11 21:44:31 2026  reduce to 39485722 relations and 36313729 ideals in 8 passes
Wed Mar 11 21:44:31 2026  max relations containing the same ideal: 107
Wed Mar 11 21:44:59 2026  removing 2333947 relations and 1933948 ideals in 400000 cliques
Wed Mar 11 21:45:01 2026  commencing in-memory singleton removal
Wed Mar 11 21:45:05 2026  begin with 37151775 relations and 36313729 unique ideals
Wed Mar 11 21:46:15 2026  reduce to 37029077 relations and 34255897 ideals in 8 passes
Wed Mar 11 21:46:15 2026  max relations containing the same ideal: 100
Wed Mar 11 21:46:41 2026  removing 2231415 relations and 1831415 ideals in 400000 cliques
Wed Mar 11 21:46:43 2026  commencing in-memory singleton removal
Wed Mar 11 21:46:46 2026  begin with 34797662 relations and 34255897 unique ideals
Wed Mar 11 21:48:01 2026  reduce to 34678806 relations and 32304406 ideals in 9 passes
Wed Mar 11 21:48:01 2026  max relations containing the same ideal: 95
Wed Mar 11 21:48:26 2026  removing 2157402 relations and 1757402 ideals in 400000 cliques
Wed Mar 11 21:48:27 2026  commencing in-memory singleton removal
Wed Mar 11 21:48:30 2026  begin with 32521404 relations and 32304406 unique ideals
Wed Mar 11 21:49:33 2026  reduce to 32404852 relations and 30429196 ideals in 8 passes
Wed Mar 11 21:49:33 2026  max relations containing the same ideal: 91
Wed Mar 11 21:49:56 2026  removing 2105464 relations and 1705464 ideals in 400000 cliques
Wed Mar 11 21:49:58 2026  commencing in-memory singleton removal
Wed Mar 11 21:50:01 2026  begin with 30299388 relations and 30429196 unique ideals
Wed Mar 11 21:50:57 2026  reduce to 30181646 relations and 28604661 ideals in 8 passes
Wed Mar 11 21:50:57 2026  max relations containing the same ideal: 86
Wed Mar 11 21:51:19 2026  removing 2065945 relations and 1665945 ideals in 400000 cliques
Wed Mar 11 21:51:21 2026  commencing in-memory singleton removal
Wed Mar 11 21:51:23 2026  begin with 28115701 relations and 28604661 unique ideals
Wed Mar 11 21:52:24 2026  reduce to 27998148 relations and 26819803 ideals in 9 passes
Wed Mar 11 21:52:24 2026  max relations containing the same ideal: 81
Wed Mar 11 21:52:43 2026  removing 2034552 relations and 1634552 ideals in 400000 cliques
Wed Mar 11 21:52:45 2026  commencing in-memory singleton removal
Wed Mar 11 21:52:47 2026  begin with 25963596 relations and 26819803 unique ideals
Wed Mar 11 21:53:36 2026  reduce to 25840997 relations and 25061103 ideals in 8 passes
Wed Mar 11 21:53:36 2026  max relations containing the same ideal: 78
Wed Mar 11 21:53:54 2026  removing 818906 relations and 686933 ideals in 131973 cliques
Wed Mar 11 21:53:55 2026  commencing in-memory singleton removal
Wed Mar 11 21:53:57 2026  begin with 25022091 relations and 25061103 unique ideals
Wed Mar 11 21:54:33 2026  reduce to 25002897 relations and 24354876 ideals in 6 passes
Wed Mar 11 21:54:33 2026  max relations containing the same ideal: 77
Wed Mar 11 21:54:53 2026  relations with 0 large ideals: 42818
Wed Mar 11 21:54:53 2026  relations with 1 large ideals: 10448
Wed Mar 11 21:54:53 2026  relations with 2 large ideals: 130052
Wed Mar 11 21:54:53 2026  relations with 3 large ideals: 814681
Wed Mar 11 21:54:53 2026  relations with 4 large ideals: 2768175
Wed Mar 11 21:54:53 2026  relations with 5 large ideals: 5531639
Wed Mar 11 21:54:53 2026  relations with 6 large ideals: 6755931
Wed Mar 11 21:54:53 2026  relations with 7+ large ideals: 8949153
Wed Mar 11 21:54:53 2026  commencing 2-way merge
Wed Mar 11 21:55:21 2026  reduce to 15216630 relation sets and 14568609 unique ideals
Wed Mar 11 21:55:21 2026  commencing full merge
Wed Mar 11 22:05:14 2026  memory use: 2006.4 MB
Wed Mar 11 22:05:17 2026  found 6877075 cycles, need 6870809
Wed Mar 11 22:05:18 2026  weight of 6870809 cycles is about 756152074 (110.05/cycle)
Wed Mar 11 22:05:18 2026  distribution of cycle lengths:
Wed Mar 11 22:05:18 2026  1 relations: 526369
Wed Mar 11 22:05:18 2026  2 relations: 539549
Wed Mar 11 22:05:18 2026  3 relations: 534223
Wed Mar 11 22:05:18 2026  4 relations: 507464
Wed Mar 11 22:05:18 2026  5 relations: 481910
Wed Mar 11 22:05:18 2026  6 relations: 454095
Wed Mar 11 22:05:18 2026  7 relations: 422746
Wed Mar 11 22:05:18 2026  8 relations: 393106
Wed Mar 11 22:05:18 2026  9 relations: 364822
Wed Mar 11 22:05:18 2026  10+ relations: 2646525
Wed Mar 11 22:05:18 2026  heaviest cycle: 28 relations
Wed Mar 11 22:05:22 2026  commencing cycle optimization
Wed Mar 11 22:05:42 2026  start with 59878091 relations
Wed Mar 11 22:09:19 2026  pruned 2235441 relations
Wed Mar 11 22:09:19 2026  memory use: 1637.5 MB
Wed Mar 11 22:09:19 2026  distribution of cycle lengths:
Wed Mar 11 22:09:19 2026  1 relations: 526369
Wed Mar 11 22:09:19 2026  2 relations: 549883
Wed Mar 11 22:09:19 2026  3 relations: 552412
Wed Mar 11 22:09:19 2026  4 relations: 523261
Wed Mar 11 22:09:19 2026  5 relations: 500245
Wed Mar 11 22:09:19 2026  6 relations: 469360
Wed Mar 11 22:09:19 2026  7 relations: 438050
Wed Mar 11 22:09:19 2026  8 relations: 405074
Wed Mar 11 22:09:19 2026  9 relations: 376337
Wed Mar 11 22:09:19 2026  10+ relations: 2529818
Wed Mar 11 22:09:19 2026  heaviest cycle: 28 relations
Wed Mar 11 22:09:38 2026  RelProcTime: 3786
Wed Mar 11 22:09:38 2026
Wed Mar 11 22:09:38 2026  commencing linear algebra
Wed Mar 11 22:09:39 2026  read 6870809 cycles
Wed Mar 11 22:09:55 2026  cycles contain 24570678 unique relations
Wed Mar 11 22:12:11 2026  read 24570678 relations
Wed Mar 11 22:13:28 2026  using 20 quadratic characters above 4294917295
Wed Mar 11 22:14:27 2026  building initial matrix
Wed Mar 11 22:20:01 2026  memory use: 2982.7 MB
Wed Mar 11 22:20:08 2026  read 6870809 cycles
Wed Mar 11 22:20:09 2026  matrix is 6870632 x 6870809 (3009.4 MB) with weight 855876167 (124.57/col)
Wed Mar 11 22:20:09 2026  sparse part has weight 713325516 (103.82/col)
Wed Mar 11 22:21:47 2026  filtering completed in 2 passes
Wed Mar 11 22:21:49 2026  matrix is 6870428 x 6870605 (3009.4 MB) with weight 855869487 (124.57/col)
Wed Mar 11 22:21:49 2026  sparse part has weight 713323260 (103.82/col)
Wed Mar 11 22:22:16 2026  matrix starts at (0, 0)
Wed Mar 11 22:22:16 2026  matrix is 6870428 x 6870605 (3009.4 MB) with weight 855869487 (124.57/col)
Wed Mar 11 22:22:16 2026  sparse part has weight 713323260 (103.82/col)
Wed Mar 11 22:22:16 2026  saving the first 48 matrix rows for later
Wed Mar 11 22:22:17 2026  matrix includes 64 packed rows
Wed Mar 11 22:22:17 2026  matrix is 6870380 x 6870605 (2878.4 MB) with weight 734105988 (106.85/col)
Wed Mar 11 22:22:17 2026  sparse part has weight 685837014 (99.82/col)
Wed Mar 11 22:22:17 2026  using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
Wed Mar 11 22:22:38 2026  commencing Lanczos iteration (32 threads)
Wed Mar 11 22:22:38 2026  memory use: 2756.9 MB
Wed Mar 11 22:22:52 2026  linear algebra at 0.0%, ETA 16h19m
Wed Mar 11 22:22:57 2026  checkpointing every 410000 dimensions
Thu Mar 12 09:04:07 2026  lanczos halted after 108649 iterations (dim = 6870379)
Thu Mar 12 09:04:10 2026  recovered 37 nontrivial dependencies
Thu Mar 12 09:04:10 2026  BLanczosTime: 39272
Thu Mar 12 09:04:10 2026
Thu Mar 12 09:04:10 2026  commencing square root phase
Thu Mar 12 09:04:10 2026  handling dependencies 1 to 64
Thu Mar 12 09:04:10 2026  reading relations for dependency 1
Thu Mar 12 09:04:11 2026  read 3436308 cycles
Thu Mar 12 09:04:13 2026  cycles contain 12290072 unique relations
Thu Mar 12 09:05:29 2026  read 12290072 relations
Thu Mar 12 09:05:48 2026  multiplying 12290072 relations
Thu Mar 12 09:09:00 2026  multiply complete, coefficients have about 299.02 million bits
Thu Mar 12 09:09:00 2026  initial square root is modulo 232013
Thu Mar 12 09:12:11 2026  sqrtTime: 481
Thu Mar 12 09:12:11 2026  p54 factor: 128421127225408046471371166074039279101656774921097929
Thu Mar 12 09:12:11 2026  p176 factor: 10598983277630453139408641484943608548187326723167186499932315861019041193925921065973740115355626870105806173409521781263955625572496909426875126118933378341782141826307125833
Thu Mar 12 09:12:11 2026  elapsed time 12:05:39