Wed Dec 24 21:43:17 2025
Wed Dec 24 21:43:17 2025
Wed Dec 24 21:43:17 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed Dec 24 21:43:17 2025  random seeds: 03d357b1 5dea6896
Wed Dec 24 21:43:17 2025  Using 8 OpenMP threads
Wed Dec 24 21:43:17 2025  factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits)
Wed Dec 24 21:43:17 2025  searching for 15-digit factors
Wed Dec 24 21:43:18 2025  commencing number field sieve (164-digit input)
Wed Dec 24 21:43:18 2025  R0: -107742851213498275783157619674551
Wed Dec 24 21:43:18 2025  R1: 510631124785724459239
Wed Dec 24 21:43:18 2025  A0: -13778743413185433495956928735489122386020
Wed Dec 24 21:43:18 2025  A1: 12827301115912249185068786579374548
Wed Dec 24 21:43:18 2025  A2: 194555987177021906288574801
Wed Dec 24 21:43:18 2025  A3: -31561673090709137717
Wed Dec 24 21:43:18 2025  A4: -123908960834
Wed Dec 24 21:43:18 2025  A5: 9240
Wed Dec 24 21:43:18 2025  skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5
Wed Dec 24 21:43:18 2025
Wed Dec 24 21:43:18 2025  commencing relation filtering
Wed Dec 24 21:43:18 2025  estimated available RAM is 78540.1 MB
Wed Dec 24 21:43:18 2025  commencing duplicate removal, pass 1
Wed Dec 24 21:47:03 2025  error -1 reading relation 82139714
Wed Dec 24 21:48:47 2025  error -1 reading relation 118669958
Wed Dec 24 21:48:56 2025  error -1 reading relation 123335332
Wed Dec 24 21:49:46 2025  error -15 reading relation 143541117
Wed Dec 24 21:51:04 2025  error -1 reading relation 175758133
Wed Dec 24 21:51:58 2025  skipped 55 malformed relations
Wed Dec 24 21:51:58 2025  found 31950123 hash collisions in 198128561 relations
Wed Dec 24 21:52:18 2025  added 122445 free relations
Wed Dec 24 21:52:18 2025  commencing duplicate removal, pass 2
Wed Dec 24 21:53:50 2025  found 29241125 duplicates and 169009881 unique relations
Wed Dec 24 21:53:50 2025  memory use: 852.8 MB
Wed Dec 24 21:53:50 2025  reading ideals above 720000
Wed Dec 24 21:53:50 2025  commencing singleton removal, initial pass
Wed Dec 24 22:08:32 2025  memory use: 3012.0 MB
Wed Dec 24 22:08:32 2025  reading all ideals from disk
Wed Dec 24 22:08:41 2025  memory use: 7669.6 MB
Wed Dec 24 22:08:54 2025  keeping 158880999 ideals with weight <= 200, target excess is 868081
Wed Dec 24 22:09:15 2025  commencing in-memory singleton removal
Wed Dec 24 22:09:18 2025  begin with 169009881 relations and 158880999 unique ideals
Wed Dec 24 22:09:44 2025  reduce to 95034643 relations and 75888066 ideals in 14 passes
Wed Dec 24 22:09:44 2025  max relations containing the same ideal: 143
Wed Dec 24 22:10:26 2025  removing 10795054 relations and 8795054 ideals in 2000000 cliques
Wed Dec 24 22:10:29 2025  commencing in-memory singleton removal
Wed Dec 24 22:10:31 2025  begin with 84239589 relations and 75888066 unique ideals
Wed Dec 24 22:10:43 2025  reduce to 83343397 relations and 66173288 ideals in 8 passes
Wed Dec 24 22:10:43 2025  max relations containing the same ideal: 136
Wed Dec 24 22:11:21 2025  removing 8182638 relations and 6182638 ideals in 2000000 cliques
Wed Dec 24 22:11:25 2025  commencing in-memory singleton removal
Wed Dec 24 22:11:26 2025  begin with 75160759 relations and 66173288 unique ideals
Wed Dec 24 22:11:36 2025  reduce to 74547005 relations and 59362150 ideals in 8 passes
Wed Dec 24 22:11:36 2025  max relations containing the same ideal: 125
Wed Dec 24 22:12:12 2025  removing 7425409 relations and 5425409 ideals in 2000000 cliques
Wed Dec 24 22:12:15 2025  commencing in-memory singleton removal
Wed Dec 24 22:12:16 2025  begin with 67121596 relations and 59362150 unique ideals
Wed Dec 24 22:12:23 2025  reduce to 66568695 relations and 53370026 ideals in 8 passes
Wed Dec 24 22:12:23 2025  max relations containing the same ideal: 116
Wed Dec 24 22:12:57 2025  removing 7039331 relations and 5039331 ideals in 2000000 cliques
Wed Dec 24 22:13:00 2025  commencing in-memory singleton removal
Wed Dec 24 22:13:01 2025  begin with 59529364 relations and 53370026 unique ideals
Wed Dec 24 22:13:10 2025  reduce to 58993652 relations and 47780441 ideals in 8 passes
Wed Dec 24 22:13:10 2025  max relations containing the same ideal: 108
Wed Dec 24 22:13:39 2025  removing 6813362 relations and 4813362 ideals in 2000000 cliques
Wed Dec 24 22:13:42 2025  commencing in-memory singleton removal
Wed Dec 24 22:13:43 2025  begin with 52180290 relations and 47780441 unique ideals
Wed Dec 24 22:13:50 2025  reduce to 51637071 relations and 42407573 ideals in 8 passes
Wed Dec 24 22:13:50 2025  max relations containing the same ideal: 99
Wed Dec 24 22:14:16 2025  removing 6663165 relations and 4663165 ideals in 2000000 cliques
Wed Dec 24 22:14:19 2025  commencing in-memory singleton removal
Wed Dec 24 22:14:20 2025  begin with 44973906 relations and 42407573 unique ideals
Wed Dec 24 22:14:23 2025  reduce to 44398668 relations and 37149942 ideals in 8 passes
Wed Dec 24 22:14:23 2025  max relations containing the same ideal: 87
Wed Dec 24 22:14:48 2025  removing 6559291 relations and 4559291 ideals in 2000000 cliques
Wed Dec 24 22:14:51 2025  commencing in-memory singleton removal
Wed Dec 24 22:14:51 2025  begin with 37839377 relations and 37149942 unique ideals
Wed Dec 24 22:14:53 2025  reduce to 37211225 relations and 31938007 ideals in 8 passes
Wed Dec 24 22:14:53 2025  max relations containing the same ideal: 78
Wed Dec 24 22:15:13 2025  removing 6482284 relations and 4482284 ideals in 2000000 cliques
Wed Dec 24 22:15:15 2025  commencing in-memory singleton removal
Wed Dec 24 22:15:16 2025  begin with 30728941 relations and 31938007 unique ideals
Wed Dec 24 22:15:20 2025  reduce to 30015972 relations and 26709916 ideals in 8 passes
Wed Dec 24 22:15:20 2025  max relations containing the same ideal: 69
Wed Dec 24 22:15:33 2025  removing 6424772 relations and 4424772 ideals in 2000000 cliques
Wed Dec 24 22:15:35 2025  commencing in-memory singleton removal
Wed Dec 24 22:15:35 2025  begin with 23591200 relations and 26709916 unique ideals
Wed Dec 24 22:15:38 2025  reduce to 22740152 relations and 21385092 ideals in 8 passes
Wed Dec 24 22:15:38 2025  max relations containing the same ideal: 58
Wed Dec 24 22:15:50 2025  removing 1594764 relations and 1246678 ideals in 348086 cliques
Wed Dec 24 22:15:51 2025  commencing in-memory singleton removal
Wed Dec 24 22:15:51 2025  begin with 21145388 relations and 21385092 unique ideals
Wed Dec 24 22:15:53 2025  reduce to 21075823 relations and 20067920 ideals in 7 passes
Wed Dec 24 22:15:53 2025  max relations containing the same ideal: 55
Wed Dec 24 22:16:05 2025  relations with 0 large ideals: 2840
Wed Dec 24 22:16:05 2025  relations with 1 large ideals: 29740
Wed Dec 24 22:16:05 2025  relations with 2 large ideals: 348851
Wed Dec 24 22:16:05 2025  relations with 3 large ideals: 1684384
Wed Dec 24 22:16:05 2025  relations with 4 large ideals: 4191548
Wed Dec 24 22:16:05 2025  relations with 5 large ideals: 5960617
Wed Dec 24 22:16:05 2025  relations with 6 large ideals: 5144495
Wed Dec 24 22:16:05 2025  relations with 7+ large ideals: 3713348
Wed Dec 24 22:16:05 2025  commencing 2-way merge
Wed Dec 24 22:16:19 2025  reduce to 13295722 relation sets and 12287819 unique ideals
Wed Dec 24 22:16:19 2025  commencing full merge
Wed Dec 24 22:20:31 2025  memory use: 1520.0 MB
Wed Dec 24 22:20:33 2025  found 6713197 cycles, need 6576019
Wed Dec 24 22:20:36 2025  weight of 6576019 cycles is about 591866273 (90.00/cycle)
Wed Dec 24 22:20:36 2025  distribution of cycle lengths:
Wed Dec 24 22:20:36 2025  1 relations: 385214
Wed Dec 24 22:20:36 2025  2 relations: 564536
Wed Dec 24 22:20:36 2025  3 relations: 640416
Wed Dec 24 22:20:36 2025  4 relations: 652569
Wed Dec 24 22:20:36 2025  5 relations: 658191
Wed Dec 24 22:20:36 2025  6 relations: 624706
Wed Dec 24 22:20:36 2025  7 relations: 584996
Wed Dec 24 22:20:36 2025  8 relations: 523847
Wed Dec 24 22:20:36 2025  9 relations: 451940
Wed Dec 24 22:20:36 2025  10+ relations: 1489604
Wed Dec 24 22:20:36 2025  heaviest cycle: 20 relations
Wed Dec 24 22:20:38 2025  commencing cycle optimization
Wed Dec 24 22:20:52 2025  start with 43615870 relations
Wed Dec 24 22:22:16 2025  pruned 1480349 relations
Wed Dec 24 22:22:17 2025  memory use: 1317.9 MB
Wed Dec 24 22:22:17 2025  distribution of cycle lengths:
Wed Dec 24 22:22:17 2025  1 relations: 385214
Wed Dec 24 22:22:17 2025  2 relations: 578665
Wed Dec 24 22:22:17 2025  3 relations: 668150
Wed Dec 24 22:22:17 2025  4 relations: 678081
Wed Dec 24 22:22:17 2025  5 relations: 687162
Wed Dec 24 22:22:17 2025  6 relations: 648377
Wed Dec 24 22:22:17 2025  7 relations: 605693
Wed Dec 24 22:22:17 2025  8 relations: 535903
Wed Dec 24 22:22:17 2025  9 relations: 456997
Wed Dec 24 22:22:17 2025  10+ relations: 1331777
Wed Dec 24 22:22:17 2025  heaviest cycle: 19 relations
Wed Dec 24 22:22:30 2025  RelProcTime: 2352
Wed Dec 24 22:22:30 2025  elapsed time 00:39:13
Wed Dec 24 22:22:30 2025
Wed Dec 24 22:22:30 2025
Wed Dec 24 22:22:30 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed Dec 24 22:22:30 2025  random seeds: 28e00b79 3402ef3b
Wed Dec 24 22:22:30 2025  Using 8 OpenMP threads
Wed Dec 24 22:22:30 2025  factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits)
Wed Dec 24 22:22:31 2025  searching for 15-digit factors
Wed Dec 24 22:22:31 2025  commencing number field sieve (164-digit input)
Wed Dec 24 22:22:31 2025  R0: -107742851213498275783157619674551
Wed Dec 24 22:22:31 2025  R1: 510631124785724459239
Wed Dec 24 22:22:31 2025  A0: -13778743413185433495956928735489122386020
Wed Dec 24 22:22:31 2025  A1: 12827301115912249185068786579374548
Wed Dec 24 22:22:31 2025  A2: 194555987177021906288574801
Wed Dec 24 22:22:31 2025  A3: -31561673090709137717
Wed Dec 24 22:22:31 2025  A4: -123908960834
Wed Dec 24 22:22:31 2025  A5: 9240
Wed Dec 24 22:22:31 2025  skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5
Wed Dec 24 22:22:31 2025
Wed Dec 24 22:22:31 2025  commencing linear algebra
Wed Dec 24 22:22:31 2025  using VBITS=256
Wed Dec 24 22:22:31 2025  stopping after matrix build
Wed Dec 24 22:22:32 2025  read 6576019 cycles
Wed Dec 24 22:22:41 2025  cycles contain 20537572 unique relations
Wed Dec 24 22:23:16 2025  read 20537572 relations
Wed Dec 24 22:23:23 2025  using 20 quadratic characters above 4294917295
Wed Dec 24 22:23:36 2025  building initial matrix
Wed Dec 24 22:28:08 2025  memory use: 2881.7 MB
Wed Dec 24 22:28:07 2025  read 6576019 cycles
Wed Dec 24 22:28:09 2025  matrix is 6575838 x 6576019 (2452.3 MB) with weight 774290828 (117.74/col)
Wed Dec 24 22:28:09 2025  sparse part has weight 563942109 (85.76/col)
Wed Dec 24 22:29:13 2025  filtering completed in 2 passes
Wed Dec 24 22:29:15 2025  matrix is 6574833 x 6575014 (2452.2 MB) with weight 774244228 (117.76/col)
Wed Dec 24 22:29:15 2025  sparse part has weight 563927337 (85.77/col)
Wed Dec 24 22:29:29 2025  BLanczosTime: 418
Wed Dec 24 22:29:29 2025  elapsed time 00:06:59
Wed Dec 24 22:30:48 2025
Wed Dec 24 22:30:48 2025
Wed Dec 24 22:30:48 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed Dec 24 22:30:48 2025  random seeds: fc630a9d 6f559885
Wed Dec 24 22:30:48 2025  Using 8 OpenMP threads
Wed Dec 24 22:30:48 2025  factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits)
Wed Dec 24 22:30:48 2025  searching for 15-digit factors
Wed Dec 24 22:30:49 2025  commencing number field sieve (164-digit input)
Wed Dec 24 22:30:49 2025  R0: -107742851213498275783157619674551
Wed Dec 24 22:30:49 2025  R1: 510631124785724459239
Wed Dec 24 22:30:49 2025  A0: -13778743413185433495956928735489122386020
Wed Dec 24 22:30:49 2025  A1: 12827301115912249185068786579374548
Wed Dec 24 22:30:49 2025  A2: 194555987177021906288574801
Wed Dec 24 22:30:49 2025  A3: -31561673090709137717
Wed Dec 24 22:30:49 2025  A4: -123908960834
Wed Dec 24 22:30:49 2025  A5: 9240
Wed Dec 24 22:30:49 2025  skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5
Wed Dec 24 22:30:49 2025
Wed Dec 24 22:30:49 2025  commencing linear algebra
Wed Dec 24 22:30:49 2025  using VBITS=256
Wed Dec 24 22:30:49 2025  skipping matrix build
Wed Dec 24 22:30:50 2025  matrix starts at (0, 0)
Wed Dec 24 22:30:50 2025  matrix is 6574833 x 6575014 (2452.2 MB) with weight 774244228 (117.76/col)
Wed Dec 24 22:30:50 2025  sparse part has weight 563927337 (85.77/col)
Wed Dec 24 22:30:50 2025  saving the first 240 matrix rows for later
Wed Dec 24 22:30:52 2025  matrix includes 256 packed rows
Wed Dec 24 22:30:53 2025  matrix is 6574593 x 6575014 (2242.7 MB) with weight 515745246 (78.44/col)
Wed Dec 24 22:30:53 2025  sparse part has weight 482706478 (73.42/col)
Wed Dec 24 22:30:54 2025  using GPU 0 (NVIDIA GeForce RTX 5070)
Wed Dec 24 22:30:54 2025  selected card has CUDA arch 12.0
Wed Dec 24 22:31:19 2025  commencing Lanczos iteration
Wed Dec 24 22:31:22 2025  memory use: 5338.2 MB
Wed Dec 24 22:31:40 2025  linear algebra at 0.5%, ETA 1h 0m
Wed Dec 24 22:32:02 2025  checking every 110000 dimensions, checkpointing every 7150000 dimensions
Wed Dec 24 23:26:23 2025  lanczos halted after 25760 iterations (dim = 6574592)
Wed Dec 24 23:26:44 2025  recovered 29 nontrivial dependencies
Wed Dec 24 23:26:44 2025  BLanczosTime: 3355
Wed Dec 24 23:26:44 2025  elapsed time 00:55:56
Wed Dec 24 23:26:45 2025
Wed Dec 24 23:26:45 2025
Wed Dec 24 23:26:45 2025  Msieve v. 1.54 (SVN Unversioned directory)
Wed Dec 24 23:26:45 2025  random seeds: ca3d2cf1 b9caafde
Wed Dec 24 23:26:45 2025  Using 8 OpenMP threads
Wed Dec 24 23:26:45 2025  factoring 67074379008834369018720416669345407605988697062728222294637139939439210329805865626896861974382480650744169376377309076624855752304820138443157375043456748588805807 (164 digits)
Wed Dec 24 23:26:45 2025  searching for 15-digit factors
Wed Dec 24 23:26:46 2025  commencing number field sieve (164-digit input)
Wed Dec 24 23:26:46 2025  R0: -107742851213498275783157619674551
Wed Dec 24 23:26:46 2025  R1: 510631124785724459239
Wed Dec 24 23:26:46 2025  A0: -13778743413185433495956928735489122386020
Wed Dec 24 23:26:46 2025  A1: 12827301115912249185068786579374548
Wed Dec 24 23:26:46 2025  A2: 194555987177021906288574801
Wed Dec 24 23:26:46 2025  A3: -31561673090709137717
Wed Dec 24 23:26:46 2025  A4: -123908960834
Wed Dec 24 23:26:46 2025  A5: 9240
Wed Dec 24 23:26:46 2025  skew 1.00, size 7.974e-16, alpha -7.690, combined = 3.613e-15 rroots = 5
Wed Dec 24 23:26:46 2025
Wed Dec 24 23:26:46 2025  commencing square root phase
Wed Dec 24 23:26:46 2025  reading relations for dependency 1
Wed Dec 24 23:26:46 2025  read 3286964 cycles
Wed Dec 24 23:26:51 2025  cycles contain 10268094 unique relations
Wed Dec 24 23:27:16 2025  read 10268094 relations
Wed Dec 24 23:27:56 2025  multiplying 10268094 relations
Wed Dec 24 23:29:07 2025  multiply complete, coefficients have about 516.91 million bits
Wed Dec 24 23:29:14 2025  initial square root is modulo 1883742019
Wed Dec 24 23:31:58 2025  sqrtTime: 312
Wed Dec 24 23:31:58 2025  p70 factor: 4937749425298810009325004280630014788399831460867775125903042448436317
Wed Dec 24 23:31:58 2025  p95 factor: 13583998139957321630967316367947099879862109920513007813866225623917711155000043023508323726971
Wed Dec 24 23:31:58 2025  elapsed time 00:05:13