Tue Apr 21 06:50:03 2026
Tue Apr 21 06:50:03 2026
Tue Apr 21 06:50:03 2026  Msieve v. 1.54 (SVN unknown)
Tue Apr 21 06:50:03 2026  random seeds: 030b5914 540c0e76
Tue Apr 21 06:50:03 2026  Using 6 OpenMP threads
Tue Apr 21 06:50:03 2026  factoring 2493148958038924129771636641200655677244210136214534186351987062235346383734598170734937741139993605656400270390399921716489215582231148708158114617185732804487638287 (166 digits)
Tue Apr 21 06:50:03 2026  no P-1/P+1/ECM available, skipping
Tue Apr 21 06:50:03 2026  commencing number field sieve (166-digit input)
Tue Apr 21 06:50:03 2026  R0: -132933298694977745648140400627132
Tue Apr 21 06:50:03 2026  R1: 55475255125048332229
Tue Apr 21 06:50:03 2026  A0: -10187951344846731514205779707075214125198
Tue Apr 21 06:50:03 2026  A1: -817173507608052795066627860911377
Tue Apr 21 06:50:03 2026  A2: 558632148647172978349011136
Tue Apr 21 06:50:03 2026  A3: 26805634351857647977
Tue Apr 21 06:50:03 2026  A4: -3982987196738
Tue Apr 21 06:50:03 2026  A5: 120120
Tue Apr 21 06:50:03 2026  skew 10924022.53, size 5.129e-16, alpha -7.576, combined = 7.822e-13 rroots = 3
Tue Apr 21 06:50:03 2026
Tue Apr 21 06:50:03 2026  commencing relation filtering
Tue Apr 21 06:50:03 2026  setting 3 target densities:Tue Apr 21 06:50:03 2026   80Tue Apr 21 06:50:03 2026   100Tue Apr 21 06:50:03 2026   120Tue Apr 21 06:50:03 2026
Tue Apr 21 06:50:03 2026  estimated available RAM is 78540.1 MB
Tue Apr 21 06:50:03 2026  commencing duplicate removal, pass 1
Tue Apr 21 06:50:36 2026  error -1 reading relation 32476475
Tue Apr 21 06:51:23 2026  error -1 reading relation 81250587
Tue Apr 21 06:51:33 2026  error -15 reading relation 91026774
Tue Apr 21 06:51:49 2026  error -1 reading relation 107471734
Tue Apr 21 06:52:20 2026  skipped 66 malformed relations
Tue Apr 21 06:52:20 2026  found 25206601 hash collisions in 139347855 relations
Tue Apr 21 06:52:33 2026  added 121788 free relations
Tue Apr 21 06:52:33 2026  commencing duplicate removal, pass 2
Tue Apr 21 06:53:31 2026  found 25468062 duplicates and 114001581 unique relations
Tue Apr 21 06:53:31 2026  memory use: 852.8 MB
Tue Apr 21 06:53:31 2026  reading ideals above 720000
Tue Apr 21 06:53:31 2026  commencing singleton removal, initial pass
Tue Apr 21 06:59:03 2026  memory use: 3012.0 MB
Tue Apr 21 06:59:03 2026  reading all ideals from disk
Tue Apr 21 06:59:08 2026  memory use: 5156.9 MB
Tue Apr 21 06:59:20 2026  keeping 116397837 ideals with weight <= 200, target excess is 612113
Tue Apr 21 06:59:28 2026  commencing in-memory singleton removal
Tue Apr 21 06:59:29 2026  begin with 114001581 relations and 116397837 unique ideals
Tue Apr 21 06:59:39 2026  reduce to 54297653 relations and 48490088 ideals in 18 passes
Tue Apr 21 06:59:39 2026  max relations containing the same ideal: 128
Tue Apr 21 06:59:56 2026  removing 7026197 relations and 6026197 ideals in 1000000 cliques
Tue Apr 21 06:59:58 2026  commencing in-memory singleton removal
Tue Apr 21 06:59:59 2026  begin with 47271456 relations and 48490088 unique ideals
Tue Apr 21 07:00:03 2026  reduce to 46592783 relations and 41769197 ideals in 11 passes
Tue Apr 21 07:00:03 2026  max relations containing the same ideal: 114
Tue Apr 21 07:00:17 2026  removing 5291275 relations and 4291275 ideals in 1000000 cliques
Tue Apr 21 07:00:16 2026  commencing in-memory singleton removal
Tue Apr 21 07:00:17 2026  begin with 41301508 relations and 41769197 unique ideals
Tue Apr 21 07:00:21 2026  reduce to 40845229 relations and 37012154 ideals in 11 passes
Tue Apr 21 07:00:21 2026  max relations containing the same ideal: 103
Tue Apr 21 07:00:33 2026  removing 4759253 relations and 3759253 ideals in 1000000 cliques
Tue Apr 21 07:00:34 2026  commencing in-memory singleton removal
Tue Apr 21 07:00:34 2026  begin with 36085976 relations and 37012154 unique ideals
Tue Apr 21 07:00:37 2026  reduce to 35666911 relations and 32824418 ideals in 9 passes
Tue Apr 21 07:00:37 2026  max relations containing the same ideal: 97
Tue Apr 21 07:00:47 2026  removing 4484693 relations and 3484693 ideals in 1000000 cliques
Tue Apr 21 07:00:48 2026  commencing in-memory singleton removal
Tue Apr 21 07:00:48 2026  begin with 31182218 relations and 32824418 unique ideals
Tue Apr 21 07:00:51 2026  reduce to 30764624 relations and 28911870 ideals in 10 passes
Tue Apr 21 07:00:51 2026  max relations containing the same ideal: 86
Tue Apr 21 07:01:01 2026  removing 4315833 relations and 3315833 ideals in 1000000 cliques
Tue Apr 21 07:01:01 2026  commencing in-memory singleton removal
Tue Apr 21 07:01:02 2026  begin with 26448791 relations and 28911870 unique ideals
Tue Apr 21 07:01:02 2026  reduce to 26006014 relations and 25140688 ideals in 8 passes
Tue Apr 21 07:01:02 2026  max relations containing the same ideal: 77
Tue Apr 21 07:01:10 2026  removing 962686 relations and 807412 ideals in 155274 cliques
Tue Apr 21 07:01:10 2026  commencing in-memory singleton removal
Tue Apr 21 07:01:11 2026  begin with 25043328 relations and 25140688 unique ideals
Tue Apr 21 07:01:12 2026  reduce to 25022101 relations and 24311943 ideals in 6 passes
Tue Apr 21 07:01:12 2026  max relations containing the same ideal: 73
Tue Apr 21 07:01:20 2026  trying target density 80
Tue Apr 21 07:01:21 2026  relations with 0 large ideals: 2138
Tue Apr 21 07:01:21 2026  relations with 1 large ideals: 12230
Tue Apr 21 07:01:21 2026  relations with 2 large ideals: 172334
Tue Apr 21 07:01:21 2026  relations with 3 large ideals: 1033301
Tue Apr 21 07:01:21 2026  relations with 4 large ideals: 3299569
Tue Apr 21 07:01:21 2026  relations with 5 large ideals: 6114015
Tue Apr 21 07:01:21 2026  relations with 6 large ideals: 6931572
Tue Apr 21 07:01:21 2026  relations with 7+ large ideals: 7456942
Tue Apr 21 07:01:21 2026  commencing 2-way merge
Tue Apr 21 07:01:33 2026  reduce to 15263684 relation sets and 14553526 unique ideals
Tue Apr 21 07:01:33 2026  commencing full merge
Tue Apr 21 07:04:08 2026  memory use: 1730.1 MB
Tue Apr 21 07:04:10 2026  found 7926860 cycles, need 7829726
Tue Apr 21 07:04:11 2026  weight of 7829726 cycles is about 626429362 (80.01/cycle)
Tue Apr 21 07:04:11 2026  distribution of cycle lengths:
Tue Apr 21 07:04:11 2026  1 relations: 810831
Tue Apr 21 07:04:11 2026  2 relations: 855625
Tue Apr 21 07:04:11 2026  3 relations: 883547
Tue Apr 21 07:04:11 2026  4 relations: 830566
Tue Apr 21 07:04:11 2026  5 relations: 785619
Tue Apr 21 07:04:11 2026  6 relations: 702053
Tue Apr 21 07:04:11 2026  7 relations: 621311
Tue Apr 21 07:04:11 2026  8 relations: 539375
Tue Apr 21 07:04:11 2026  9 relations: 454817
Tue Apr 21 07:04:11 2026  10+ relations: 1345982
Tue Apr 21 07:04:11 2026  heaviest cycle: 19 relations
Tue Apr 21 07:04:12 2026  commencing cycle optimization
Tue Apr 21 07:04:22 2026  start with 45560173 relations
Tue Apr 21 07:05:07 2026  pruned 1139212 relations
Tue Apr 21 07:05:07 2026  memory use: 1493.0 MB
Tue Apr 21 07:05:07 2026  distribution of cycle lengths:
Tue Apr 21 07:05:07 2026  1 relations: 810831
Tue Apr 21 07:05:07 2026  2 relations: 875227
Tue Apr 21 07:05:07 2026  3 relations: 915059
Tue Apr 21 07:05:07 2026  4 relations: 852897
Tue Apr 21 07:05:07 2026  5 relations: 806995
Tue Apr 21 07:05:07 2026  6 relations: 714869
Tue Apr 21 07:05:07 2026  7 relations: 631060
Tue Apr 21 07:05:07 2026  8 relations: 541794
Tue Apr 21 07:05:07 2026  9 relations: 452001
Tue Apr 21 07:05:07 2026  10+ relations: 1228993
Tue Apr 21 07:05:07 2026  heaviest cycle: 19 relations
Tue Apr 21 07:05:17 2026  trying target density 100
Tue Apr 21 07:05:18 2026  relations with 0 large ideals: 2138
Tue Apr 21 07:05:18 2026  relations with 1 large ideals: 12230
Tue Apr 21 07:05:18 2026  relations with 2 large ideals: 172334
Tue Apr 21 07:05:18 2026  relations with 3 large ideals: 1033301
Tue Apr 21 07:05:18 2026  relations with 4 large ideals: 3299569
Tue Apr 21 07:05:18 2026  relations with 5 large ideals: 6114015
Tue Apr 21 07:05:18 2026  relations with 6 large ideals: 6931572
Tue Apr 21 07:05:18 2026  relations with 7+ large ideals: 7456942
Tue Apr 21 07:05:18 2026  commencing 2-way merge
Tue Apr 21 07:05:29 2026  reduce to 15263684 relation sets and 14553526 unique ideals
Tue Apr 21 07:05:29 2026  commencing full merge
Tue Apr 21 07:08:44 2026  memory use: 1785.3 MB
Tue Apr 21 07:08:45 2026  found 7328667 cycles, need 7239726
Tue Apr 21 07:08:46 2026  weight of 7239726 cycles is about 724516287 (100.08/cycle)
Tue Apr 21 07:08:46 2026  distribution of cycle lengths:
Tue Apr 21 07:08:46 2026  1 relations: 502902
Tue Apr 21 07:08:46 2026  2 relations: 612307
Tue Apr 21 07:08:47 2026  3 relations: 657958
Tue Apr 21 07:08:47 2026  4 relations: 647453
Tue Apr 21 07:08:47 2026  5 relations: 631501
Tue Apr 21 07:08:47 2026  6 relations: 585520
Tue Apr 21 07:08:47 2026  7 relations: 552607
Tue Apr 21 07:08:47 2026  8 relations: 502506
Tue Apr 21 07:08:47 2026  9 relations: 452714
Tue Apr 21 07:08:47 2026  10+ relations: 2094258
Tue Apr 21 07:08:47 2026  heaviest cycle: 24 relations
Tue Apr 21 07:08:47 2026  commencing cycle optimization
Tue Apr 21 07:08:55 2026  start with 52577081 relations
Tue Apr 21 07:09:54 2026  pruned 1719955 relations
Tue Apr 21 07:09:54 2026  memory use: 1568.7 MB
Tue Apr 21 07:09:54 2026  distribution of cycle lengths:
Tue Apr 21 07:09:54 2026  1 relations: 502902
Tue Apr 21 07:09:54 2026  2 relations: 627689
Tue Apr 21 07:09:54 2026  3 relations: 684314
Tue Apr 21 07:09:54 2026  4 relations: 669380
Tue Apr 21 07:09:54 2026  5 relations: 654919
Tue Apr 21 07:09:54 2026  6 relations: 604367
Tue Apr 21 07:09:54 2026  7 relations: 568851
Tue Apr 21 07:09:54 2026  8 relations: 513324
Tue Apr 21 07:09:54 2026  9 relations: 461226
Tue Apr 21 07:09:54 2026  10+ relations: 1952754
Tue Apr 21 07:09:54 2026  heaviest cycle: 24 relations
Tue Apr 21 07:10:03 2026  trying target density 120
Tue Apr 21 07:10:05 2026  relations with 0 large ideals: 2138
Tue Apr 21 07:10:05 2026  relations with 1 large ideals: 12230
Tue Apr 21 07:10:05 2026  relations with 2 large ideals: 172334
Tue Apr 21 07:10:05 2026  relations with 3 large ideals: 1033301
Tue Apr 21 07:10:05 2026  relations with 4 large ideals: 3299569
Tue Apr 21 07:10:05 2026  relations with 5 large ideals: 6114015
Tue Apr 21 07:10:05 2026  relations with 6 large ideals: 6931572
Tue Apr 21 07:10:05 2026  relations with 7+ large ideals: 7456942
Tue Apr 21 07:10:05 2026  commencing 2-way merge
Tue Apr 21 07:10:15 2026  reduce to 15263684 relation sets and 14553526 unique ideals
Tue Apr 21 07:10:15 2026  commencing full merge
Tue Apr 21 07:13:41 2026  memory use: 1823.7 MB
Tue Apr 21 07:13:42 2026  found 6877683 cycles, need 6825726
Tue Apr 21 07:13:43 2026  weight of 6825726 cycles is about 819404829 (120.05/cycle)
Tue Apr 21 07:13:43 2026  distribution of cycle lengths:
Tue Apr 21 07:13:43 2026  1 relations: 334238
Tue Apr 21 07:13:43 2026  2 relations: 459633
Tue Apr 21 07:13:43 2026  3 relations: 517195
Tue Apr 21 07:13:43 2026  4 relations: 516857
Tue Apr 21 07:13:43 2026  5 relations: 516490
Tue Apr 21 07:13:43 2026  6 relations: 492660
Tue Apr 21 07:13:43 2026  7 relations: 475112
Tue Apr 21 07:13:43 2026  8 relations: 444281
Tue Apr 21 07:13:43 2026  9 relations: 418713
Tue Apr 21 07:13:43 2026  10+ relations: 2650547
Tue Apr 21 07:13:43 2026  heaviest cycle: 28 relations
Tue Apr 21 07:13:44 2026  commencing cycle optimization
Tue Apr 21 07:13:55 2026  start with 59252890 relations
Tue Apr 21 07:15:18 2026  pruned 2330198 relations
Tue Apr 21 07:15:18 2026  memory use: 1637.3 MB
Tue Apr 21 07:15:18 2026  distribution of cycle lengths:
Tue Apr 21 07:15:18 2026  1 relations: 334238
Tue Apr 21 07:15:18 2026  2 relations: 471931
Tue Apr 21 07:15:18 2026  3 relations: 538946
Tue Apr 21 07:15:18 2026  4 relations: 536899
Tue Apr 21 07:15:18 2026  5 relations: 538616
Tue Apr 21 07:15:18 2026  6 relations: 512364
Tue Apr 21 07:15:18 2026  7 relations: 493589
Tue Apr 21 07:15:18 2026  8 relations: 459482
Tue Apr 21 07:15:18 2026  9 relations: 433474
Tue Apr 21 07:15:18 2026  10+ relations: 2506187
Tue Apr 21 07:15:18 2026  heaviest cycle: 28 relations
Tue Apr 21 07:15:26 2026  RelProcTime: 1523
Tue Apr 21 07:15:26 2026
Tue Apr 21 07:15:26 2026  commencing linear algebra
Tue Apr 21 07:15:26 2026  using VBITS=256
Tue Apr 21 07:15:26 2026  building matrices for all densities
Tue Apr 21 07:15:26 2026  found 3 density files
Tue Apr 21 07:15:26 2026  building matrix for density 80
Tue Apr 21 07:15:27 2026  read 7829726 cycles
Tue Apr 21 07:15:34 2026  cycles contain 24568751 unique relations
Tue Apr 21 07:15:55 2026  read 24568751 relations
Tue Apr 21 07:16:02 2026  using 20 quadratic characters above 4294917295
Tue Apr 21 07:16:15 2026  building initial matrix
Tue Apr 21 07:19:32 2026  memory use: 3401.2 MB
Tue Apr 21 07:19:34 2026  read 7829726 cycles
Tue Apr 21 07:19:35 2026  matrix is 7829548 x 7829726 (2658.5 MB) with weight 831096091 (106.15/col)
Tue Apr 21 07:19:35 2026  sparse part has weight 602941393 (77.01/col)
Tue Apr 21 07:20:17 2026  filtering completed in 2 passes
Tue Apr 21 07:20:18 2026  matrix is 7827066 x 7827242 (2658.3 MB) with weight 830999432 (106.17/col)
Tue Apr 21 07:20:18 2026  sparse part has weight 602917679 (77.03/col)
Tue Apr 21 07:20:31 2026  building matrix for density 100
Tue Apr 21 07:20:32 2026  read 7239726 cycles
Tue Apr 21 07:20:40 2026  cycles contain 24575984 unique relations
Tue Apr 21 07:20:56 2026  read 24575984 relations
Tue Apr 21 07:21:02 2026  using 20 quadratic characters above 4294917295
Tue Apr 21 07:21:13 2026  building initial matrix
Tue Apr 21 07:24:33 2026  memory use: 3408.6 MB
Tue Apr 21 07:24:35 2026  read 7239726 cycles
Tue Apr 21 07:24:36 2026  matrix is 7239549 x 7239726 (2952.3 MB) with weight 913163432 (126.13/col)
Tue Apr 21 07:24:36 2026  sparse part has weight 687043346 (94.90/col)
Tue Apr 21 07:25:20 2026  filtering completed in 2 passes
Tue Apr 21 07:25:21 2026  matrix is 7238327 x 7238503 (2952.2 MB) with weight 913108035 (126.15/col)
Tue Apr 21 07:25:21 2026  sparse part has weight 687027399 (94.91/col)
Tue Apr 21 07:25:35 2026  building matrix for density 120
Tue Apr 21 07:25:35 2026  read 6825726 cycles
Tue Apr 21 07:25:43 2026  cycles contain 24577318 unique relations
Tue Apr 21 07:26:00 2026  read 24577318 relations
Tue Apr 21 07:26:06 2026  using 20 quadratic characters above 4294917295
Tue Apr 21 07:26:17 2026  building initial matrix
Tue Apr 21 07:30:22 2026  memory use: 3419.3 MB
Tue Apr 21 07:30:25 2026  read 6825726 cycles
Tue Apr 21 07:30:26 2026  matrix is 6825549 x 6825726 (3236.3 MB) with weight 991301197 (145.23/col)
Tue Apr 21 07:30:26 2026  sparse part has weight 766480291 (112.29/col)
Tue Apr 21 07:31:10 2026  filtering completed in 2 passes
Tue Apr 21 07:31:11 2026  matrix is 6825172 x 6825348 (3236.3 MB) with weight 991283083 (145.24/col)
Tue Apr 21 07:31:11 2026  sparse part has weight 766475295 (112.30/col)
Tue Apr 21 07:31:24 2026  BLanczosTime: 958
Tue Apr 21 07:31:24 2026  elapsed time 00:41:21
Tue Apr 21 07:32:10 2026
Tue Apr 21 07:32:10 2026
Tue Apr 21 07:32:10 2026  Msieve v. 1.54 (SVN unknown)
Tue Apr 21 07:32:10 2026  random seeds: 6769633f 0698e2b5
Tue Apr 21 07:32:10 2026  Using 6 OpenMP threads
Tue Apr 21 07:32:10 2026  factoring 2493148958038924129771636641200655677244210136214534186351987062235346383734598170734937741139993605656400270390399921716489215582231148708158114617185732804487638287 (166 digits)
Tue Apr 21 07:32:10 2026  no P-1/P+1/ECM available, skipping
Tue Apr 21 07:32:10 2026  commencing number field sieve (166-digit input)
Tue Apr 21 07:32:10 2026  R0: -132933298694977745648140400627132
Tue Apr 21 07:32:10 2026  R1: 55475255125048332229
Tue Apr 21 07:32:10 2026  A0: -10187951344846731514205779707075214125198
Tue Apr 21 07:32:10 2026  A1: -817173507608052795066627860911377
Tue Apr 21 07:32:10 2026  A2: 558632148647172978349011136
Tue Apr 21 07:32:10 2026  A3: 26805634351857647977
Tue Apr 21 07:32:10 2026  A4: -3982987196738
Tue Apr 21 07:32:10 2026  A5: 120120
Tue Apr 21 07:32:10 2026  skew 10924022.53, size 5.129e-16, alpha -7.576, combined = 7.822e-13 rroots = 3
Tue Apr 21 07:32:10 2026
Tue Apr 21 07:32:10 2026  commencing linear algebra
Tue Apr 21 07:32:10 2026  using VBITS=256
Tue Apr 21 07:32:10 2026  selecting density 120 for linear algebra
Tue Apr 21 07:32:13 2026  matrix starts at (0, 0)
Tue Apr 21 07:32:14 2026  matrix is 6825172 x 6825348 (3236.3 MB) with weight 991283083 (145.24/col)
Tue Apr 21 07:32:14 2026  sparse part has weight 766475295 (112.30/col)
Tue Apr 21 07:32:14 2026  saving the first 240 matrix rows for later
Tue Apr 21 07:32:15 2026  matrix includes 256 packed rows
Tue Apr 21 07:32:16 2026  matrix is 6824932 x 6825348 (2904.0 MB) with weight 697629362 (102.21/col)
Tue Apr 21 07:32:16 2026  sparse part has weight 652054400 (95.53/col)
Tue Apr 21 07:32:16 2026  using GPU 0 (NVIDIA GeForce RTX 5070)
Tue Apr 21 07:32:16 2026  selected card has CUDA arch 12.0
Tue Apr 21 07:33:42 2026  commencing Lanczos iteration
Tue Apr 21 07:33:43 2026  memory use: 6693.2 MB
Tue Apr 21 07:34:02 2026  linear algebra at 0.4%, ETA 1h10m
Tue Apr 21 07:34:32 2026  checking every 90000 dimensions, checkpointing every 5670000 dimensions
Tue Apr 21 08:47:28 2026  lanczos halted after 26741 iterations (dim = 6824929)
Tue Apr 21 08:47:54 2026  recovered 29 nontrivial dependencies
Tue Apr 21 08:47:56 2026  BLanczosTime: 4546
Tue Apr 21 08:47:56 2026
Tue Apr 21 08:47:56 2026  commencing square root phase
Tue Apr 21 08:47:56 2026  handling dependencies 1 to 64
Tue Apr 21 08:47:56 2026  reading relations for dependency 1
Tue Apr 21 08:48:11 2026  read 3410858 cycles
Tue Apr 21 08:48:15 2026  cycles contain 12285560 unique relations
Tue Apr 21 08:49:52 2026  read 12285560 relations
Tue Apr 21 08:50:22 2026  multiplying 12285560 relations
Tue Apr 21 08:51:14 2026  multiply complete, coefficients have about 659.21 million bits
Tue Apr 21 08:51:15 2026  initial square root is modulo 820597
Tue Apr 21 08:53:05 2026  sqrtTime: 309
Tue Apr 21 08:53:05 2026  p61 factor: 9847070224332890932823791094432762187588786617727293260514711
Tue Apr 21 08:53:05 2026  p105 factor: 253186877034567648889842722199758682461031197101268536662422744734781847821405836354057370547706502886217
Tue Apr 21 08:53:05 2026  elapsed time 01:20:55