Sun May 24 19:58:55 2026
Sun May 24 19:58:55 2026
Sun May 24 19:58:55 2026  Msieve v. 1.54 (SVN 1018)
Sun May 24 19:58:55 2026  random seeds: 7365f998 3d8abb1e
Sun May 24 19:58:55 2026  factoring 229425144898786374174811528039711852619974077766248170509669697911246344961976387477460751725061778243619231548233349992458110353271079386352583630065427498689012871377997245815705340178418544604655440316763013220994670695067269257704714300745534987679540901 (258 digits)
Sun May 24 19:58:56 2026  searching for 15-digit factors
Sun May 24 19:58:57 2026  commencing number field sieve (258-digit input)
Sun May 24 19:58:57 2026  R0: 1
Sun May 24 19:58:57 2026  R1: -7824137087904348231244732802189709267385801
Sun May 24 19:58:57 2026  A0: -19469
Sun May 24 19:58:57 2026  A1: 0
Sun May 24 19:58:57 2026  A2: 0
Sun May 24 19:58:57 2026  A3: 0
Sun May 24 19:58:57 2026  A4: 0
Sun May 24 19:58:57 2026  A5: 0
Sun May 24 19:58:57 2026  A6: 1
Sun May 24 19:58:57 2026  skew 4.02, size 3.408e-013, alpha 1.129, combined = 5.391e-014 rroots = 2
Sun May 24 19:58:57 2026
Sun May 24 19:58:57 2026  commencing relation filtering
Sun May 24 19:58:57 2026  setting target matrix density to 110.0
Sun May 24 19:58:57 2026  estimated available RAM is 130978.7 MB
Sun May 24 19:58:57 2026  commencing duplicate removal, pass 1
Sun May 24 19:59:08 2026  error -9 reading relation 1310472
Sun May 24 19:59:52 2026  error -1 reading relation 6435137
Sun May 24 20:00:01 2026  error -9 reading relation 7475040
Sun May 24 20:45:49 2026  error -1 reading relation 323197057
Sun May 24 20:46:28 2026  error -9 reading relation 327603483
Sun May 24 20:46:50 2026  error -9 reading relation 330073153
Sun May 24 20:47:05 2026  error -15 reading relation 331870443
Sun May 24 20:47:16 2026  error -9 reading relation 333097887
Sun May 24 20:47:17 2026  error -9 reading relation 333147643
Sun May 24 20:48:09 2026  skipped 166 relations with b > 2^32
Sun May 24 20:48:09 2026  skipped 167 relations with composite factors
Sun May 24 20:48:09 2026  found 71380733 hash collisions in 339164890 relations
Sun May 24 20:48:25 2026  added 1219299 free relations
Sun May 24 20:48:25 2026  commencing duplicate removal, pass 2
Sun May 24 20:51:51 2026  found 67652703 duplicates and 272731486 unique relations
Sun May 24 20:51:51 2026  memory use: 2387.0 MB
Sun May 24 20:51:52 2026  reading ideals above 720000
Sun May 24 20:51:52 2026  commencing singleton removal, initial pass
Sun May 24 21:31:12 2026  memory use: 6024.0 MB
Sun May 24 21:31:13 2026  reading all ideals from disk
Sun May 24 21:31:24 2026  memory use: 11413.6 MB
Sun May 24 21:32:17 2026  keeping 254325912 ideals with weight <= 200, target excess is 1403449
Sun May 24 21:33:11 2026  commencing in-memory singleton removal
Sun May 24 21:33:50 2026  begin with 272731486 relations and 254325912 unique ideals
Sun May 24 21:40:33 2026  reduce to 177323549 relations and 149762654 ideals in 15 passes
Sun May 24 21:40:33 2026  max relations containing the same ideal: 158
Sun May 24 21:42:34 2026  removing 12261026 relations and 10261026 ideals in 2000000 cliques
Sun May 24 21:42:38 2026  commencing in-memory singleton removal
Sun May 24 21:43:03 2026  begin with 165062523 relations and 149762654 unique ideals
Sun May 24 21:46:10 2026  reduce to 164383269 relations and 138812224 ideals in 8 passes
Sun May 24 21:46:10 2026  max relations containing the same ideal: 153
Sun May 24 21:48:01 2026  removing 9402810 relations and 7402810 ideals in 2000000 cliques
Sun May 24 21:48:05 2026  commencing in-memory singleton removal
Sun May 24 21:48:28 2026  begin with 154980459 relations and 138812224 unique ideals
Sun May 24 21:51:00 2026  reduce to 154527982 relations and 130951159 ideals in 7 passes
Sun May 24 21:51:00 2026  max relations containing the same ideal: 148
Sun May 24 21:52:45 2026  removing 8534406 relations and 6534406 ideals in 2000000 cliques
Sun May 24 21:52:49 2026  commencing in-memory singleton removal
Sun May 24 21:53:10 2026  begin with 145993576 relations and 130951159 unique ideals
Sun May 24 21:55:33 2026  reduce to 145592409 relations and 124010598 ideals in 7 passes
Sun May 24 21:55:33 2026  max relations containing the same ideal: 141
Sun May 24 21:57:12 2026  removing 8090402 relations and 6090402 ideals in 2000000 cliques
Sun May 24 21:57:16 2026  commencing in-memory singleton removal
Sun May 24 21:57:36 2026  begin with 137502007 relations and 124010598 unique ideals
Sun May 24 21:59:50 2026  reduce to 137121373 relations and 117534571 ideals in 7 passes
Sun May 24 21:59:50 2026  max relations containing the same ideal: 136
Sun May 24 22:01:23 2026  removing 7817819 relations and 5817819 ideals in 2000000 cliques
Sun May 24 22:01:26 2026  commencing in-memory singleton removal
Sun May 24 22:01:45 2026  begin with 129303554 relations and 117534571 unique ideals
Sun May 24 22:03:50 2026  reduce to 128929084 relations and 111337177 ideals in 7 passes
Sun May 24 22:03:50 2026  max relations containing the same ideal: 132
Sun May 24 22:05:18 2026  removing 7648543 relations and 5648543 ideals in 2000000 cliques
Sun May 24 22:05:21 2026  commencing in-memory singleton removal
Sun May 24 22:05:39 2026  begin with 121280541 relations and 111337177 unique ideals
Sun May 24 22:07:50 2026  reduce to 120901357 relations and 105304049 ideals in 8 passes
Sun May 24 22:07:50 2026  max relations containing the same ideal: 126
Sun May 24 22:09:13 2026  removing 7539497 relations and 5539497 ideals in 2000000 cliques
Sun May 24 22:09:16 2026  commencing in-memory singleton removal
Sun May 24 22:09:32 2026  begin with 113361860 relations and 105304049 unique ideals
Sun May 24 22:11:51 2026  reduce to 112973294 relations and 99370212 ideals in 9 passes
Sun May 24 22:11:51 2026  max relations containing the same ideal: 122
Sun May 24 22:13:08 2026  removing 7481323 relations and 5481323 ideals in 2000000 cliques
Sun May 24 22:13:11 2026  commencing in-memory singleton removal
Sun May 24 22:13:26 2026  begin with 105491971 relations and 99370212 unique ideals
Sun May 24 22:15:20 2026  reduce to 105085894 relations and 93476368 ideals in 8 passes
Sun May 24 22:15:20 2026  max relations containing the same ideal: 113
Sun May 24 22:16:32 2026  removing 7456235 relations and 5456235 ideals in 2000000 cliques
Sun May 24 22:16:35 2026  commencing in-memory singleton removal
Sun May 24 22:16:48 2026  begin with 97629659 relations and 93476368 unique ideals
Sun May 24 22:18:33 2026  reduce to 97195148 relations and 87578303 ideals in 8 passes
Sun May 24 22:18:33 2026  max relations containing the same ideal: 107
Sun May 24 22:19:40 2026  removing 7465244 relations and 5465244 ideals in 2000000 cliques
Sun May 24 22:19:43 2026  commencing in-memory singleton removal
Sun May 24 22:19:55 2026  begin with 89729904 relations and 87578303 unique ideals
Sun May 24 22:21:18 2026  reduce to 89263578 relations and 81638333 ideals in 7 passes
Sun May 24 22:21:18 2026  max relations containing the same ideal: 104
Sun May 24 22:22:20 2026  removing 7504180 relations and 5504180 ideals in 2000000 cliques
Sun May 24 22:22:22 2026  commencing in-memory singleton removal
Sun May 24 22:22:33 2026  begin with 81759398 relations and 81638333 unique ideals
Sun May 24 22:23:47 2026  reduce to 81244264 relations and 75609229 ideals in 7 passes
Sun May 24 22:23:47 2026  max relations containing the same ideal: 96
Sun May 24 22:24:44 2026  removing 7576255 relations and 5576255 ideals in 2000000 cliques
Sun May 24 22:24:46 2026  commencing in-memory singleton removal
Sun May 24 22:24:56 2026  begin with 73668009 relations and 75609229 unique ideals
Sun May 24 22:26:22 2026  reduce to 73091044 relations and 69443922 ideals in 9 passes
Sun May 24 22:26:22 2026  max relations containing the same ideal: 89
Sun May 24 22:27:13 2026  removing 7676778 relations and 5676778 ideals in 2000000 cliques
Sun May 24 22:27:15 2026  commencing in-memory singleton removal
Sun May 24 22:27:24 2026  begin with 65414266 relations and 69443922 unique ideals
Sun May 24 22:28:31 2026  reduce to 64749421 relations and 63086542 ideals in 8 passes
Sun May 24 22:28:31 2026  max relations containing the same ideal: 81
Sun May 24 22:29:16 2026  removing 269622 relations and 234744 ideals in 34878 cliques
Sun May 24 22:29:17 2026  commencing in-memory singleton removal
Sun May 24 22:29:25 2026  begin with 64479799 relations and 63086542 unique ideals
Sun May 24 22:30:06 2026  reduce to 64479105 relations and 62851104 ideals in 5 passes
Sun May 24 22:30:06 2026  max relations containing the same ideal: 81
Sun May 24 22:30:22 2026  relations with 0 large ideals: 52352
Sun May 24 22:30:22 2026  relations with 1 large ideals: 20728
Sun May 24 22:30:22 2026  relations with 2 large ideals: 289455
Sun May 24 22:30:22 2026  relations with 3 large ideals: 1835344
Sun May 24 22:30:22 2026  relations with 4 large ideals: 6355528
Sun May 24 22:30:22 2026  relations with 5 large ideals: 13202007
Sun May 24 22:30:22 2026  relations with 6 large ideals: 17180032
Sun May 24 22:30:22 2026  relations with 7+ large ideals: 25543659
Sun May 24 22:30:22 2026  commencing 2-way merge
Sun May 24 22:31:24 2026  reduce to 41674577 relation sets and 40046576 unique ideals
Sun May 24 22:31:24 2026  commencing full merge
Sun May 24 22:52:30 2026  memory use: 5237.7 MB
Sun May 24 22:52:41 2026  found 19345425 cycles, need 19196776
Sun May 24 22:52:42 2026  weight of 19196776 cycles is about 2111788424 (110.01/cycle)
Sun May 24 22:52:42 2026  distribution of cycle lengths:
Sun May 24 22:52:42 2026  1 relations: 1413328
Sun May 24 22:52:42 2026  2 relations: 1537990
Sun May 24 22:52:42 2026  3 relations: 1580216
Sun May 24 22:52:42 2026  4 relations: 1532109
Sun May 24 22:52:42 2026  5 relations: 1495670
Sun May 24 22:52:42 2026  6 relations: 1437769
Sun May 24 22:52:42 2026  7 relations: 1359812
Sun May 24 22:52:42 2026  8 relations: 1275197
Sun May 24 22:52:42 2026  9 relations: 1171162
Sun May 24 22:52:42 2026  10+ relations: 6393523
Sun May 24 22:52:42 2026  heaviest cycle: 28 relations
Sun May 24 22:53:22 2026  commencing cycle optimization
Sun May 24 22:54:03 2026  start with 150639763 relations
Sun May 24 23:01:54 2026  pruned 5972290 relations
Sun May 24 23:01:55 2026  memory use: 4199.9 MB
Sun May 24 23:01:55 2026  distribution of cycle lengths:
Sun May 24 23:01:55 2026  1 relations: 1413328
Sun May 24 23:01:55 2026  2 relations: 1574342
Sun May 24 23:01:55 2026  3 relations: 1643791
Sun May 24 23:01:55 2026  4 relations: 1590391
Sun May 24 23:01:55 2026  5 relations: 1561648
Sun May 24 23:01:55 2026  6 relations: 1494739
Sun May 24 23:01:55 2026  7 relations: 1417646
Sun May 24 23:01:55 2026  8 relations: 1319221
Sun May 24 23:01:55 2026  9 relations: 1208251
Sun May 24 23:01:55 2026  10+ relations: 5973419
Sun May 24 23:01:55 2026  heaviest cycle: 28 relations
Sun May 24 23:02:50 2026  RelProcTime: 11033
Sun May 24 23:02:50 2026
Sun May 24 23:02:50 2026  commencing linear algebra
Sun May 24 23:02:55 2026  read 19196776 cycles
Sun May 24 23:03:43 2026  cycles contain 63503166 unique relations
Sun May 24 23:10:28 2026  read 63503166 relations
Sun May 24 23:12:54 2026  using 20 quadratic characters above 4294917295
Sun May 24 23:17:22 2026  building initial matrix
Sun May 24 23:30:47 2026  memory use: 8067.3 MB
Sun May 24 23:31:16 2026  read 19196776 cycles
Sun May 24 23:31:20 2026  matrix is 19196599 x 19196776 (8310.8 MB) with weight 2380614721 (124.01/col)
Sun May 24 23:31:20 2026  sparse part has weight 1986663996 (103.49/col)
Sun May 24 23:38:24 2026  filtering completed in 2 passes
Sun May 24 23:38:28 2026  matrix is 19194755 x 19194932 (8310.6 MB) with weight 2380548531 (124.02/col)
Sun May 24 23:38:28 2026  sparse part has weight 1986636621 (103.50/col)
Sun May 24 23:40:07 2026  matrix starts at (0, 0)
Sun May 24 23:40:10 2026  matrix is 19194755 x 19194932 (8310.6 MB) with weight 2380548531 (124.02/col)
Sun May 24 23:40:10 2026  sparse part has weight 1986636621 (103.50/col)
Sun May 24 23:40:10 2026  saving the first 48 matrix rows for later
Sun May 24 23:40:17 2026  matrix includes 64 packed rows
Sun May 24 23:40:20 2026  matrix is 19194707 x 19194932 (8000.5 MB) with weight 2027993748 (105.65/col)
Sun May 24 23:40:20 2026  sparse part has weight 1905328721 (99.26/col)
Sun May 24 23:40:20 2026  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
Sun May 24 23:42:23 2026  commencing Lanczos iteration (24 threads)
Sun May 24 23:42:23 2026  memory use: 6858.7 MB
Sun May 24 23:43:01 2026  linear algebra at 0.0%, ETA 126h36m
Sun May 24 23:43:12 2026  checkpointing every 160000 dimensions
Sat May 30 01:27:48 2026  lanczos halted after 303535 iterations (dim = 19194706)
Sat May 30 01:28:09 2026  recovered 35 nontrivial dependencies
Sat May 30 01:28:27 2026  BLanczosTime: 440737
Sat May 30 01:28:27 2026
Sat May 30 01:28:27 2026  commencing square root phase
Sat May 30 01:28:27 2026  handling dependencies 1 to 64
Sat May 30 01:28:27 2026  reading relations for dependency 1
Sat May 30 01:28:31 2026  read 9599405 cycles
Sat May 30 01:28:53 2026  cycles contain 31759346 unique relations
Sat May 30 01:33:10 2026  read 31759346 relations
Sat May 30 01:36:07 2026  multiplying 31759346 relations
Sat May 30 01:59:38 2026  multiply complete, coefficients have about 868.71 million bits
Sat May 30 01:59:41 2026  initial square root is modulo 62177629
Sat May 30 02:22:51 2026  found factor: 200024264844661047882190994085553052347226605047639269213638140720856525238791951
Sat May 30 02:22:51 2026  reading relations for dependency 2
Sat May 30 02:22:55 2026  read 9593955 cycles
Sat May 30 02:23:16 2026  cycles contain 31749548 unique relations
Sat May 30 02:27:33 2026  read 31749548 relations
Sat May 30 02:30:26 2026  multiplying 31749548 relations
Sat May 30 02:53:55 2026  multiply complete, coefficients have about 868.45 million bits
Sat May 30 02:53:58 2026  initial square root is modulo 61840477
Sat May 30 03:17:07 2026  sqrtTime: 6520
Sat May 30 03:17:07 2026  p73 factor: 1193974983683662419646364720168324091307838683007137406251151544426590999
Sat May 30 03:17:07 2026  p81 factor: 200024264844661047882190994085553052347226605047639269213638140720856525238791951
Sat May 30 03:17:07 2026  p105 factor: 960645392837986153736743437348165172418875615972437241150698071653681154586302474440388552796652342037549
Sat May 30 03:17:07 2026  elapsed time 127:18:12