Mon Aug 24 16:55:46 2026
Mon Aug 24 16:55:46 2026
Mon Aug 24 16:55:46 2026  Msieve v. 1.54 (SVN unknown)
Mon Aug 24 16:55:46 2026  random seeds: 4131426f a6bd8207
Mon Aug 24 16:55:46 2026  Using 8 OpenMP threads
Mon Aug 24 16:55:46 2026  factoring 56919581411124122009745453642928831531146444842015998494202037712264302677618476465830430278986998605994361369780191739609067439850413587784373560266374543995937548933820343882690043380290177129 (194 digits)
Mon Aug 24 16:55:47 2026  no P-1/P+1/ECM available, skipping
Mon Aug 24 16:55:47 2026  commencing number field sieve (194-digit input)
Mon Aug 24 16:55:47 2026  R0: -37975115582877415172108976686066761517
Mon Aug 24 16:55:47 2026  R1: 217874857916542110303809
Mon Aug 24 16:55:47 2026  A0: -6644064636804881507215011162418877775333343104
Mon Aug 24 16:55:47 2026  A1: 629815772375899038087229060230784800304
Mon Aug 24 16:55:47 2026  A2: 3035736557150627345735347561657
Mon Aug 24 16:55:47 2026  A3: -453974641062581443288905
Mon Aug 24 16:55:47 2026  A4: -460700470250832
Mon Aug 24 16:55:47 2026  A5: 2882880
Mon Aug 24 16:55:47 2026  skew 111009960.27, size 6.572e-19, alpha -8.161, combined = 1.345e-14 rroots = 5
Mon Aug 24 16:55:47 2026
Mon Aug 24 16:55:47 2026  commencing relation filtering
Mon Aug 24 16:55:47 2026  setting 3 target densities:Mon Aug 24 16:55:47 2026   100Mon Aug 24 16:55:47 2026   120Mon Aug 24 16:55:47 2026   140Mon Aug 24 16:55:47 2026
Mon Aug 24 16:55:47 2026  estimated available RAM is 78540.1 MB
Mon Aug 24 16:55:47 2026  commencing duplicate removal, pass 1
Mon Aug 24 17:22:16 2026  error -1 reading relation 663152640
Mon Aug 24 17:22:28 2026  found 157359184 hash collisions in 667830297 relations
Mon Aug 24 17:22:42 2026  added 121461 free relations
Mon Aug 24 17:22:42 2026  commencing duplicate removal, pass 2
Mon Aug 24 17:28:54 2026  found 179821355 duplicates and 488130403 unique relations
Mon Aug 24 17:28:54 2026  memory use: 5286.0 MB
Mon Aug 24 17:28:54 2026  reading ideals above 519897088
Mon Aug 24 17:28:54 2026  commencing singleton removal, initial pass
Mon Aug 24 17:49:15 2026  memory use: 11024.0 MB
Mon Aug 24 17:49:16 2026  reading all ideals from disk
Mon Aug 24 17:49:21 2026  memory use: 11964.5 MB
Mon Aug 24 17:49:36 2026  commencing in-memory singleton removal
Mon Aug 24 17:49:39 2026  begin with 488130403 relations and 418943308 unique ideals
Mon Aug 24 17:50:11 2026  reduce to 289758706 relations and 199043155 ideals in 16 passes
Mon Aug 24 17:50:11 2026  max relations containing the same ideal: 32
Mon Aug 24 17:50:18 2026  reading ideals above 720000
Mon Aug 24 17:50:18 2026  commencing singleton removal, initial pass
Mon Aug 24 18:08:40 2026  memory use: 6024.0 MB
Mon Aug 24 18:08:41 2026  reading all ideals from disk
Mon Aug 24 18:08:54 2026  memory use: 14718.1 MB
Mon Aug 24 18:09:17 2026  keeping 252185395 ideals with weight <= 200, target excess is 1503971
Mon Aug 24 18:09:41 2026  commencing in-memory singleton removal
Mon Aug 24 18:09:45 2026  begin with 289758706 relations and 252185395 unique ideals
Mon Aug 24 18:10:28 2026  reduce to 289276758 relations and 251703319 ideals in 16 passes
Mon Aug 24 18:10:28 2026  max relations containing the same ideal: 200
Mon Aug 24 18:11:49 2026  removing 15266383 relations and 13266383 ideals in 2000000 cliques
Mon Aug 24 18:11:54 2026  commencing in-memory singleton removal
Mon Aug 24 18:11:58 2026  begin with 274010375 relations and 251703319 unique ideals
Mon Aug 24 18:12:20 2026  reduce to 273386287 relations and 237806928 ideals in 9 passes
Mon Aug 24 18:12:20 2026  max relations containing the same ideal: 199
Mon Aug 24 18:13:33 2026  removing 11518822 relations and 9518822 ideals in 2000000 cliques
Mon Aug 24 18:13:37 2026  commencing in-memory singleton removal
Mon Aug 24 18:13:41 2026  begin with 261867465 relations and 237806928 unique ideals
Mon Aug 24 18:14:01 2026  reduce to 261473147 relations and 227890608 ideals in 9 passes
Mon Aug 24 18:14:01 2026  max relations containing the same ideal: 195
Mon Aug 24 18:15:11 2026  removing 10347370 relations and 8347370 ideals in 2000000 cliques
Mon Aug 24 18:15:15 2026  commencing in-memory singleton removal
Mon Aug 24 18:15:19 2026  begin with 251125777 relations and 227890608 unique ideals
Mon Aug 24 18:15:36 2026  reduce to 250789789 relations and 219204591 ideals in 8 passes
Mon Aug 24 18:15:36 2026  max relations containing the same ideal: 192
Mon Aug 24 18:16:45 2026  removing 9709067 relations and 7709067 ideals in 2000000 cliques
Mon Aug 24 18:16:50 2026  commencing in-memory singleton removal
Mon Aug 24 18:16:53 2026  begin with 241080722 relations and 219204591 unique ideals
Mon Aug 24 18:17:10 2026  reduce to 240770206 relations and 211182637 ideals in 8 passes
Mon Aug 24 18:17:10 2026  max relations containing the same ideal: 188
Mon Aug 24 18:18:18 2026  removing 9291483 relations and 7291483 ideals in 2000000 cliques
Mon Aug 24 18:18:21 2026  commencing in-memory singleton removal
Mon Aug 24 18:18:25 2026  begin with 231478723 relations and 211182637 unique ideals
Mon Aug 24 18:18:40 2026  reduce to 231183036 relations and 203593112 ideals in 7 passes
Mon Aug 24 18:18:40 2026  max relations containing the same ideal: 185
Mon Aug 24 18:19:48 2026  removing 8994448 relations and 6994448 ideals in 2000000 cliques
Mon Aug 24 18:19:51 2026  commencing in-memory singleton removal
Mon Aug 24 18:19:55 2026  begin with 222188588 relations and 203593112 unique ideals
Mon Aug 24 18:20:09 2026  reduce to 221900070 relations and 196307905 ideals in 7 passes
Mon Aug 24 18:20:09 2026  max relations containing the same ideal: 181
Mon Aug 24 18:21:09 2026  removing 8777509 relations and 6777509 ideals in 2000000 cliques
Mon Aug 24 18:21:12 2026  commencing in-memory singleton removal
Mon Aug 24 18:21:16 2026  begin with 213122561 relations and 196307905 unique ideals
Mon Aug 24 18:21:28 2026  reduce to 212836526 relations and 189241970 ideals in 7 passes
Mon Aug 24 18:21:28 2026  max relations containing the same ideal: 175
Mon Aug 24 18:22:25 2026  removing 8621375 relations and 6621375 ideals in 2000000 cliques
Mon Aug 24 18:22:28 2026  commencing in-memory singleton removal
Mon Aug 24 18:22:31 2026  begin with 204215151 relations and 189241970 unique ideals
Mon Aug 24 18:22:50 2026  reduce to 203930167 relations and 182333170 ideals in 11 passes
Mon Aug 24 18:22:50 2026  max relations containing the same ideal: 172
Mon Aug 24 18:23:45 2026  removing 8499752 relations and 6499752 ideals in 2000000 cliques
Mon Aug 24 18:23:48 2026  commencing in-memory singleton removal
Mon Aug 24 18:23:51 2026  begin with 195430415 relations and 182333170 unique ideals
Mon Aug 24 18:24:04 2026  reduce to 195141594 relations and 175542081 ideals in 8 passes
Mon Aug 24 18:24:04 2026  max relations containing the same ideal: 166
Mon Aug 24 18:25:09 2026  removing 8410324 relations and 6410324 ideals in 2000000 cliques
Mon Aug 24 18:25:12 2026  commencing in-memory singleton removal
Mon Aug 24 18:25:16 2026  begin with 186731270 relations and 175542081 unique ideals
Mon Aug 24 18:25:26 2026  reduce to 186435728 relations and 168833530 ideals in 6 passes
Mon Aug 24 18:25:26 2026  max relations containing the same ideal: 161
Mon Aug 24 18:26:21 2026  removing 8343463 relations and 6343463 ideals in 2000000 cliques
Mon Aug 24 18:26:24 2026  commencing in-memory singleton removal
Mon Aug 24 18:26:33 2026  begin with 178092265 relations and 168833530 unique ideals
Mon Aug 24 18:26:37 2026  reduce to 177793231 relations and 162188280 ideals in 7 passes
Mon Aug 24 18:26:37 2026  max relations containing the same ideal: 155
Mon Aug 24 18:27:31 2026  removing 8296044 relations and 6296044 ideals in 2000000 cliques
Mon Aug 24 18:27:34 2026  commencing in-memory singleton removal
Mon Aug 24 18:27:37 2026  begin with 169497187 relations and 162188280 unique ideals
Mon Aug 24 18:27:47 2026  reduce to 169187366 relations and 155579322 ideals in 7 passes
Mon Aug 24 18:27:47 2026  max relations containing the same ideal: 148
Mon Aug 24 18:28:35 2026  removing 8270966 relations and 6270966 ideals in 2000000 cliques
Mon Aug 24 18:28:38 2026  commencing in-memory singleton removal
Mon Aug 24 18:28:40 2026  begin with 160916400 relations and 155579322 unique ideals
Mon Aug 24 18:28:50 2026  reduce to 160594375 relations and 148983046 ideals in 7 passes
Mon Aug 24 18:28:50 2026  max relations containing the same ideal: 144
Mon Aug 24 18:29:39 2026  removing 8258957 relations and 6258957 ideals in 2000000 cliques
Mon Aug 24 18:29:42 2026  commencing in-memory singleton removal
Mon Aug 24 18:29:44 2026  begin with 152335418 relations and 148983046 unique ideals
Mon Aug 24 18:29:54 2026  reduce to 151998860 relations and 142383952 ideals in 7 passes
Mon Aug 24 18:29:54 2026  max relations containing the same ideal: 140
Mon Aug 24 18:30:43 2026  removing 8256116 relations and 6256116 ideals in 2000000 cliques
Mon Aug 24 18:30:46 2026  commencing in-memory singleton removal
Mon Aug 24 18:30:47 2026  begin with 143742744 relations and 142383952 unique ideals
Mon Aug 24 18:30:56 2026  reduce to 143388748 relations and 135769849 ideals in 7 passes
Mon Aug 24 18:30:56 2026  max relations containing the same ideal: 135
Mon Aug 24 18:31:39 2026  removing 8274628 relations and 6274628 ideals in 2000000 cliques
Mon Aug 24 18:31:42 2026  commencing in-memory singleton removal
Mon Aug 24 18:31:43 2026  begin with 135114120 relations and 135769849 unique ideals
Mon Aug 24 18:31:52 2026  reduce to 134738729 relations and 129115397 ideals in 7 passes
Mon Aug 24 18:31:52 2026  max relations containing the same ideal: 130
Mon Aug 24 18:32:32 2026  removing 8304130 relations and 6304130 ideals in 2000000 cliques
Mon Aug 24 18:32:34 2026  commencing in-memory singleton removal
Mon Aug 24 18:32:36 2026  begin with 126434599 relations and 129115397 unique ideals
Mon Aug 24 18:32:43 2026  reduce to 126030960 relations and 122402522 ideals in 7 passes
Mon Aug 24 18:32:43 2026  max relations containing the same ideal: 123
Mon Aug 24 18:33:29 2026  removing 7946607 relations and 6062776 ideals in 1883831 cliques
Mon Aug 24 18:33:24 2026  commencing in-memory singleton removal
Mon Aug 24 18:33:26 2026  begin with 118084353 relations and 122402522 unique ideals
Mon Aug 24 18:33:33 2026  reduce to 117691416 relations and 115941897 ideals in 7 passes
Mon Aug 24 18:33:33 2026  max relations containing the same ideal: 116
Mon Aug 24 18:34:09 2026  trying target density 100
Mon Aug 24 18:34:18 2026  relations with 0 large ideals: 5748
Mon Aug 24 18:34:18 2026  relations with 1 large ideals: 13160
Mon Aug 24 18:34:18 2026  relations with 2 large ideals: 228488
Mon Aug 24 18:34:18 2026  relations with 3 large ideals: 1748096
Mon Aug 24 18:34:18 2026  relations with 4 large ideals: 7323755
Mon Aug 24 18:34:18 2026  relations with 5 large ideals: 18561707
Mon Aug 24 18:34:18 2026  relations with 6 large ideals: 29779012
Mon Aug 24 18:34:18 2026  relations with 7+ large ideals: 60031450
Mon Aug 24 18:34:18 2026  commencing 2-way merge
Mon Aug 24 18:35:59 2026  reduce to 75517543 relation sets and 73768024 unique ideals
Mon Aug 24 18:35:59 2026  commencing full merge
Mon Aug 24 18:55:37 2026  memory use: 8935.3 MB
Mon Aug 24 18:55:45 2026  found 36707185 cycles, need 36488224
Mon Aug 24 18:56:05 2026  weight of 36488224 cycles is about 3648971599 (100.00/cycle)
Mon Aug 24 18:56:05 2026  distribution of cycle lengths:
Mon Aug 24 18:56:05 2026  1 relations: 2915380
Mon Aug 24 18:56:05 2026  2 relations: 3415358
Mon Aug 24 18:56:05 2026  3 relations: 3596784
Mon Aug 24 18:56:05 2026  4 relations: 3398383
Mon Aug 24 18:56:05 2026  5 relations: 3278675
Mon Aug 24 18:56:05 2026  6 relations: 3068459
Mon Aug 24 18:56:05 2026  7 relations: 2826888
Mon Aug 24 18:56:05 2026  8 relations: 2541615
Mon Aug 24 18:56:05 2026  9 relations: 2266424
Mon Aug 24 18:56:05 2026  10+ relations: 9180258
Mon Aug 24 18:56:06 2026  heaviest cycle: 24 relations
Mon Aug 24 18:56:12 2026  commencing cycle optimization
Mon Aug 24 18:57:31 2026  start with 248248585 relations
Mon Aug 24 19:04:08 2026  pruned 8260628 relations
Mon Aug 24 19:04:10 2026  memory use: 7430.4 MB
Mon Aug 24 19:04:17 2026  distribution of cycle lengths:
Mon Aug 24 19:04:17 2026  1 relations: 2915380
Mon Aug 24 19:04:17 2026  2 relations: 3501242
Mon Aug 24 19:04:17 2026  3 relations: 3743529
Mon Aug 24 19:04:17 2026  4 relations: 3512091
Mon Aug 24 19:04:17 2026  5 relations: 3399083
Mon Aug 24 19:04:17 2026  6 relations: 3160373
Mon Aug 24 19:04:17 2026  7 relations: 2908026
Mon Aug 24 19:04:17 2026  8 relations: 2595718
Mon Aug 24 19:04:17 2026  9 relations: 2294827
Mon Aug 24 19:04:17 2026  10+ relations: 8457955
Mon Aug 24 19:04:17 2026  heaviest cycle: 24 relations
Mon Aug 24 19:08:58 2026  trying target density 120
Mon Aug 24 19:09:07 2026  relations with 0 large ideals: 5748
Mon Aug 24 19:09:07 2026  relations with 1 large ideals: 13160
Mon Aug 24 19:09:07 2026  relations with 2 large ideals: 228488
Mon Aug 24 19:09:07 2026  relations with 3 large ideals: 1748096
Mon Aug 24 19:09:07 2026  relations with 4 large ideals: 7323755
Mon Aug 24 19:09:07 2026  relations with 5 large ideals: 18561707
Mon Aug 24 19:09:07 2026  relations with 6 large ideals: 29779012
Mon Aug 24 19:09:07 2026  relations with 7+ large ideals: 60031450
Mon Aug 24 19:09:07 2026  commencing 2-way merge
Mon Aug 24 19:10:01 2026  reduce to 75517543 relation sets and 73768024 unique ideals
Mon Aug 24 19:10:07 2026  commencing full merge
Mon Aug 24 19:31:59 2026  memory use: 9153.4 MB
Mon Aug 24 19:32:05 2026  found 34471338 cycles, need 34358224
Mon Aug 24 19:32:14 2026  weight of 34358224 cycles is about 4123033675 (120.00/cycle)
Mon Aug 24 19:32:14 2026  distribution of cycle lengths:
Mon Aug 24 19:32:14 2026  1 relations: 1940134
Mon Aug 24 19:32:14 2026  2 relations: 2580916
Mon Aug 24 19:32:14 2026  3 relations: 2830446
Mon Aug 24 19:32:14 2026  4 relations: 2769857
Mon Aug 24 19:32:14 2026  5 relations: 2710503
Mon Aug 24 19:32:14 2026  6 relations: 2606809
Mon Aug 24 19:32:14 2026  7 relations: 2449499
Mon Aug 24 19:32:14 2026  8 relations: 2312472
Mon Aug 24 19:32:14 2026  9 relations: 2136931
Mon Aug 24 19:32:14 2026  10+ relations: 12020657
Mon Aug 24 19:32:14 2026  heaviest cycle: 28 relations
Mon Aug 24 19:32:18 2026  commencing cycle optimization
Mon Aug 24 19:33:29 2026  start with 279639958 relations
Mon Aug 24 19:43:24 2026  pruned 11173539 relations
Mon Aug 24 19:43:25 2026  memory use: 7757.2 MB
Mon Aug 24 19:43:25 2026  distribution of cycle lengths:
Mon Aug 24 19:43:25 2026  1 relations: 1940134
Mon Aug 24 19:43:25 2026  2 relations: 2650089
Mon Aug 24 19:43:25 2026  3 relations: 2953654
Mon Aug 24 19:43:25 2026  4 relations: 2875358
Mon Aug 24 19:43:25 2026  5 relations: 2827313
Mon Aug 24 19:43:25 2026  6 relations: 2705184
Mon Aug 24 19:43:25 2026  7 relations: 2548762
Mon Aug 24 19:43:25 2026  8 relations: 2388476
Mon Aug 24 19:43:25 2026  9 relations: 2200875
Mon Aug 24 19:43:25 2026  10+ relations: 11268379
Mon Aug 24 19:43:25 2026  heaviest cycle: 28 relations
Mon Aug 24 19:46:02 2026  trying target density 140
Mon Aug 24 19:46:10 2026  relations with 0 large ideals: 5748
Mon Aug 24 19:46:10 2026  relations with 1 large ideals: 13160
Mon Aug 24 19:46:10 2026  relations with 2 large ideals: 228488
Mon Aug 24 19:46:10 2026  relations with 3 large ideals: 1748096
Mon Aug 24 19:46:10 2026  relations with 4 large ideals: 7323755
Mon Aug 24 19:46:10 2026  relations with 5 large ideals: 18561707
Mon Aug 24 19:46:10 2026  relations with 6 large ideals: 29779012
Mon Aug 24 19:46:10 2026  relations with 7+ large ideals: 60031450
Mon Aug 24 19:46:10 2026  commencing 2-way merge
Mon Aug 24 19:47:39 2026  reduce to 75517543 relation sets and 73768024 unique ideals
Mon Aug 24 19:47:39 2026  commencing full merge
Mon Aug 24 20:45:52 2026  memory use: 3406.2 MB
Mon Aug 24 20:45:52 2026  found 90751 cycles, need 15824281
Mon Aug 24 20:45:53 2026  too few cycles, matrix probably cannot build
Mon Aug 24 20:46:09 2026  RelProcTime: 13822
Mon Aug 24 20:46:09 2026
Mon Aug 24 20:46:09 2026  commencing linear algebra
Mon Aug 24 20:46:09 2026  using VBITS=256
Mon Aug 24 20:46:09 2026  building matrices for all densities
Mon Aug 24 20:46:09 2026  found 2 density files
Mon Aug 24 20:46:09 2026  building matrix for density 100
Mon Aug 24 20:49:04 2026  read 36488224 cycles
Mon Aug 24 20:52:40 2026  cycles contain 116587056 unique relations
Mon Aug 24 21:13:13 2026  read 116587056 relations
Mon Aug 24 21:14:05 2026  using 20 quadratic characters above 4294917295
Mon Aug 24 21:14:46 2026  building initial matrix
Mon Aug 24 21:33:28 2026  memory use: 16386.9 MB
Mon Aug 24 21:33:51 2026  read 36488224 cycles
Mon Aug 24 21:33:56 2026  matrix is 36488046 x 36488224 (14892.7 MB) with weight 4591620645 (125.84/col)
Mon Aug 24 21:33:56 2026  sparse part has weight 3466165763 (94.99/col)
Mon Aug 24 21:39:14 2026  filtering completed in 2 passes
Mon Aug 24 21:39:24 2026  matrix is 36484323 x 36484500 (14892.3 MB) with weight 4591463884 (125.85/col)
Mon Aug 24 21:39:24 2026  sparse part has weight 3466126036 (95.00/col)
Mon Aug 24 21:40:53 2026  building matrix for density 120
Mon Aug 24 21:40:58 2026  read 34358224 cycles
Mon Aug 24 21:41:36 2026  cycles contain 116599775 unique relations
Mon Aug 24 21:46:55 2026  read 116599775 relations
Mon Aug 24 21:47:28 2026  using 20 quadratic characters above 4294917295
Mon Aug 24 21:48:06 2026  building initial matrix
Mon Aug 24 22:06:38 2026  memory use: 16432.1 MB
Mon Aug 24 22:07:12 2026  read 34358224 cycles
Mon Aug 24 22:07:16 2026  matrix is 34358046 x 34358224 (16319.7 MB) with weight 4989280921 (145.21/col)
Mon Aug 24 22:07:16 2026  sparse part has weight 3865803435 (112.51/col)
Mon Aug 24 22:11:41 2026  filtering completed in 2 passes
Mon Aug 24 22:11:51 2026  matrix is 34356969 x 34357147 (16319.6 MB) with weight 4989231936 (145.22/col)
Mon Aug 24 22:11:51 2026  sparse part has weight 3865791451 (112.52/col)
Mon Aug 24 22:13:20 2026  BLanczosTime: 5231
Mon Aug 24 22:13:20 2026  elapsed time 05:17:34
Tue Aug 25 05:59:39 2026
Tue Aug 25 05:59:39 2026
Tue Aug 25 05:59:39 2026  Msieve v. 1.54 (SVN unknown)
Tue Aug 25 05:59:39 2026  random seeds: 53223aa8 30476734
Tue Aug 25 05:59:39 2026  Using 8 OpenMP threads
Tue Aug 25 05:59:39 2026  factoring 56919581411124122009745453642928831531146444842015998494202037712264302677618476465830430278986998605994361369780191739609067439850413587784373560266374543995937548933820343882690043380290177129 (194 digits)
Tue Aug 25 05:59:40 2026  no P-1/P+1/ECM available, skipping
Tue Aug 25 05:59:40 2026  commencing number field sieve (194-digit input)
Tue Aug 25 05:59:40 2026  R0: -37975115582877415172108976686066761517
Tue Aug 25 05:59:40 2026  R1: 217874857916542110303809
Tue Aug 25 05:59:40 2026  A0: -6644064636804881507215011162418877775333343104
Tue Aug 25 05:59:40 2026  A1: 629815772375899038087229060230784800304
Tue Aug 25 05:59:40 2026  A2: 3035736557150627345735347561657
Tue Aug 25 05:59:40 2026  A3: -453974641062581443288905
Tue Aug 25 05:59:40 2026  A4: -460700470250832
Tue Aug 25 05:59:40 2026  A5: 2882880
Tue Aug 25 05:59:40 2026  skew 111009960.27, size 6.572e-19, alpha -8.161, combined = 1.345e-14 rroots = 5
Tue Aug 25 05:59:40 2026
Tue Aug 25 05:59:40 2026  commencing relation filtering
Tue Aug 25 05:59:40 2026  setting target matrix density to 70.0
Tue Aug 25 05:59:40 2026  estimated available RAM is 78540.1 MB
Tue Aug 25 05:59:40 2026  commencing duplicate removal, pass 1
Tue Aug 25 06:18:53 2026  error -1 reading relation 663152640
Tue Aug 25 06:19:01 2026  found 157364126 hash collisions in 667951758 relations
Tue Aug 25 06:19:12 2026  commencing duplicate removal, pass 2
Tue Aug 25 06:33:36 2026  found 179821355 duplicates and 488130403 unique relations
Tue Aug 25 06:33:36 2026  memory use: 5286.0 MB
Tue Aug 25 06:33:36 2026  reading ideals above 519897088
Tue Aug 25 06:33:36 2026  commencing singleton removal, initial pass
Tue Aug 25 06:55:25 2026  memory use: 11024.0 MB
Tue Aug 25 06:55:25 2026  reading all ideals from disk
Tue Aug 25 06:56:16 2026  memory use: 11964.5 MB
Tue Aug 25 06:57:07 2026  commencing in-memory singleton removal
Tue Aug 25 06:57:10 2026  begin with 488130403 relations and 418943308 unique ideals
Tue Aug 25 06:57:40 2026  reduce to 289758706 relations and 199043155 ideals in 18 passes
Tue Aug 25 06:57:40 2026  max relations containing the same ideal: 32
Tue Aug 25 06:57:47 2026  reading ideals above 720000
Tue Aug 25 06:57:47 2026  commencing singleton removal, initial pass
Tue Aug 25 07:24:06 2026  memory use: 6024.0 MB
Tue Aug 25 07:24:07 2026  reading all ideals from disk
Tue Aug 25 07:26:09 2026  memory use: 14718.1 MB
Tue Aug 25 07:27:16 2026  keeping 252185395 ideals with weight <= 200, target excess is 1503971
Tue Aug 25 07:27:49 2026  commencing in-memory singleton removal
Tue Aug 25 07:27:54 2026  begin with 289758706 relations and 252185395 unique ideals
Tue Aug 25 07:28:44 2026  reduce to 289276758 relations and 251703319 ideals in 16 passes
Tue Aug 25 07:28:44 2026  max relations containing the same ideal: 200
Tue Aug 25 07:30:56 2026  removing 15266383 relations and 13266383 ideals in 2000000 cliques
Tue Aug 25 07:31:02 2026  commencing in-memory singleton removal
Tue Aug 25 07:31:07 2026  begin with 274010375 relations and 251703319 unique ideals
Tue Aug 25 07:31:30 2026  reduce to 273386287 relations and 237806928 ideals in 9 passes
Tue Aug 25 07:31:30 2026  max relations containing the same ideal: 199
Tue Aug 25 07:33:22 2026  removing 11518822 relations and 9518822 ideals in 2000000 cliques
Tue Aug 25 07:33:31 2026  commencing in-memory singleton removal
Tue Aug 25 07:33:35 2026  begin with 261867465 relations and 237806928 unique ideals
Tue Aug 25 07:33:58 2026  reduce to 261473147 relations and 227890608 ideals in 9 passes
Tue Aug 25 07:33:58 2026  max relations containing the same ideal: 195
Tue Aug 25 07:35:37 2026  removing 10347370 relations and 8347370 ideals in 2000000 cliques
Tue Aug 25 07:35:43 2026  commencing in-memory singleton removal
Tue Aug 25 07:35:47 2026  begin with 251125777 relations and 227890608 unique ideals
Tue Aug 25 07:36:10 2026  reduce to 250789789 relations and 219204591 ideals in 8 passes
Tue Aug 25 07:36:10 2026  max relations containing the same ideal: 192
Tue Aug 25 07:37:45 2026  removing 9709067 relations and 7709067 ideals in 2000000 cliques
Tue Aug 25 07:37:50 2026  commencing in-memory singleton removal
Tue Aug 25 07:37:53 2026  begin with 241080722 relations and 219204591 unique ideals
Tue Aug 25 07:38:11 2026  reduce to 240770206 relations and 211182637 ideals in 8 passes
Tue Aug 25 07:38:11 2026  max relations containing the same ideal: 188
Tue Aug 25 07:39:31 2026  removing 9291483 relations and 7291483 ideals in 2000000 cliques
Tue Aug 25 07:39:35 2026  commencing in-memory singleton removal
Tue Aug 25 07:39:39 2026  begin with 231478723 relations and 211182637 unique ideals
Tue Aug 25 07:39:55 2026  reduce to 231183036 relations and 203593112 ideals in 7 passes
Tue Aug 25 07:39:55 2026  max relations containing the same ideal: 185
Tue Aug 25 07:41:10 2026  removing 8994448 relations and 6994448 ideals in 2000000 cliques
Tue Aug 25 07:41:14 2026  commencing in-memory singleton removal
Tue Aug 25 07:41:17 2026  begin with 222188588 relations and 203593112 unique ideals
Tue Aug 25 07:41:30 2026  reduce to 221900070 relations and 196307905 ideals in 7 passes
Tue Aug 25 07:41:30 2026  max relations containing the same ideal: 181
Tue Aug 25 07:42:42 2026  removing 8777509 relations and 6777509 ideals in 2000000 cliques
Tue Aug 25 07:42:46 2026  commencing in-memory singleton removal
Tue Aug 25 07:42:50 2026  begin with 213122561 relations and 196307905 unique ideals
Tue Aug 25 07:43:03 2026  reduce to 212836526 relations and 189241970 ideals in 7 passes
Tue Aug 25 07:43:03 2026  max relations containing the same ideal: 175
Tue Aug 25 07:44:18 2026  removing 8621375 relations and 6621375 ideals in 2000000 cliques
Tue Aug 25 07:44:22 2026  commencing in-memory singleton removal
Tue Aug 25 07:44:25 2026  begin with 204215151 relations and 189241970 unique ideals
Tue Aug 25 07:44:45 2026  reduce to 203930167 relations and 182333170 ideals in 11 passes
Tue Aug 25 07:44:45 2026  max relations containing the same ideal: 172
Tue Aug 25 07:45:55 2026  removing 8499752 relations and 6499752 ideals in 2000000 cliques
Tue Aug 25 07:45:59 2026  commencing in-memory singleton removal
Tue Aug 25 07:46:02 2026  begin with 195430415 relations and 182333170 unique ideals
Tue Aug 25 07:46:14 2026  reduce to 195141594 relations and 175542081 ideals in 7 passes
Tue Aug 25 07:46:14 2026  max relations containing the same ideal: 166
Tue Aug 25 07:47:24 2026  removing 8410324 relations and 6410324 ideals in 2000000 cliques
Tue Aug 25 07:47:27 2026  commencing in-memory singleton removal
Tue Aug 25 07:47:30 2026  begin with 186731270 relations and 175542081 unique ideals
Tue Aug 25 07:47:42 2026  reduce to 186435728 relations and 168833530 ideals in 6 passes
Tue Aug 25 07:47:42 2026  max relations containing the same ideal: 161
Tue Aug 25 07:48:48 2026  removing 8343463 relations and 6343463 ideals in 2000000 cliques
Tue Aug 25 07:48:52 2026  commencing in-memory singleton removal
Tue Aug 25 07:48:54 2026  begin with 178092265 relations and 168833530 unique ideals
Tue Aug 25 07:49:10 2026  reduce to 177793231 relations and 162188280 ideals in 7 passes
Tue Aug 25 07:49:10 2026  max relations containing the same ideal: 155
Tue Aug 25 07:50:23 2026  removing 8296044 relations and 6296044 ideals in 2000000 cliques
Tue Aug 25 07:50:27 2026  commencing in-memory singleton removal
Tue Aug 25 07:50:30 2026  begin with 169497187 relations and 162188280 unique ideals
Tue Aug 25 07:50:48 2026  reduce to 169187366 relations and 155579322 ideals in 7 passes
Tue Aug 25 07:50:48 2026  max relations containing the same ideal: 148
Tue Aug 25 07:51:55 2026  removing 8270966 relations and 6270966 ideals in 2000000 cliques
Tue Aug 25 07:51:59 2026  commencing in-memory singleton removal
Tue Aug 25 07:52:03 2026  begin with 160916400 relations and 155579322 unique ideals
Tue Aug 25 07:52:21 2026  reduce to 160594375 relations and 148983046 ideals in 7 passes
Tue Aug 25 07:52:21 2026  max relations containing the same ideal: 144
Tue Aug 25 07:53:31 2026  removing 8258957 relations and 6258957 ideals in 2000000 cliques
Tue Aug 25 07:53:35 2026  commencing in-memory singleton removal
Tue Aug 25 07:53:38 2026  begin with 152335418 relations and 148983046 unique ideals
Tue Aug 25 07:53:56 2026  reduce to 151998860 relations and 142383952 ideals in 8 passes
Tue Aug 25 07:53:56 2026  max relations containing the same ideal: 140
Tue Aug 25 07:55:03 2026  removing 8256116 relations and 6256116 ideals in 2000000 cliques
Tue Aug 25 07:55:07 2026  commencing in-memory singleton removal
Tue Aug 25 07:55:09 2026  begin with 143742744 relations and 142383952 unique ideals
Tue Aug 25 07:55:25 2026  reduce to 143388748 relations and 135769849 ideals in 7 passes
Tue Aug 25 07:55:25 2026  max relations containing the same ideal: 135
Tue Aug 25 07:56:28 2026  removing 8274628 relations and 6274628 ideals in 2000000 cliques
Tue Aug 25 07:56:32 2026  commencing in-memory singleton removal
Tue Aug 25 07:56:33 2026  begin with 135114120 relations and 135769849 unique ideals
Tue Aug 25 07:56:49 2026  reduce to 134738729 relations and 129115397 ideals in 8 passes
Tue Aug 25 07:56:49 2026  max relations containing the same ideal: 130
Tue Aug 25 07:57:52 2026  removing 8304130 relations and 6304130 ideals in 2000000 cliques
Tue Aug 25 07:57:56 2026  commencing in-memory singleton removal
Tue Aug 25 07:57:58 2026  begin with 126434599 relations and 129115397 unique ideals
Tue Aug 25 07:58:10 2026  reduce to 126030960 relations and 122402522 ideals in 7 passes
Tue Aug 25 07:58:10 2026  max relations containing the same ideal: 123
Tue Aug 25 07:59:03 2026  removing 7946607 relations and 6062776 ideals in 1883831 cliques
Tue Aug 25 07:59:06 2026  commencing in-memory singleton removal
Tue Aug 25 07:59:07 2026  begin with 118084353 relations and 122402522 unique ideals
Tue Aug 25 07:59:19 2026  reduce to 117691416 relations and 115941897 ideals in 7 passes
Tue Aug 25 07:59:19 2026  max relations containing the same ideal: 116
Tue Aug 25 08:00:15 2026  relations with 0 large ideals: 5748
Tue Aug 25 08:00:15 2026  relations with 1 large ideals: 13160
Tue Aug 25 08:00:15 2026  relations with 2 large ideals: 228488
Tue Aug 25 08:00:15 2026  relations with 3 large ideals: 1748096
Tue Aug 25 08:00:15 2026  relations with 4 large ideals: 7323755
Tue Aug 25 08:00:15 2026  relations with 5 large ideals: 18561707
Tue Aug 25 08:00:15 2026  relations with 6 large ideals: 29779012
Tue Aug 25 08:00:15 2026  relations with 7+ large ideals: 60031450
Tue Aug 25 08:00:15 2026  commencing 2-way merge
Tue Aug 25 08:01:33 2026  reduce to 75517543 relation sets and 73768024 unique ideals
Tue Aug 25 08:01:33 2026  commencing full merge
Tue Aug 25 08:20:07 2026  memory use: 8513.8 MB
Tue Aug 25 08:20:20 2026  found 41841030 cycles, need 41596224
Tue Aug 25 08:20:33 2026  weight of 41596224 cycles is about 2911897530 (70.00/cycle)
Tue Aug 25 08:20:34 2026  distribution of cycle lengths:
Tue Aug 25 08:20:34 2026  1 relations: 5920021
Tue Aug 25 08:20:34 2026  2 relations: 5739828
Tue Aug 25 08:20:34 2026  3 relations: 5539102
Tue Aug 25 08:20:34 2026  4 relations: 5019714
Tue Aug 25 08:20:34 2026  5 relations: 4430336
Tue Aug 25 08:20:34 2026  6 relations: 3843370
Tue Aug 25 08:20:34 2026  7 relations: 3199631
Tue Aug 25 08:20:34 2026  8 relations: 2508028
Tue Aug 25 08:20:34 2026  9 relations: 1874547
Tue Aug 25 08:20:34 2026  10+ relations: 3521647
Tue Aug 25 08:20:34 2026  heaviest cycle: 17 relations
Tue Aug 25 08:20:47 2026  commencing cycle optimization
Tue Aug 25 08:21:58 2026  start with 198446766 relations
Tue Aug 25 08:26:33 2026  pruned 4201741 relations
Tue Aug 25 08:26:38 2026  memory use: 6871.9 MB
Tue Aug 25 08:26:38 2026  distribution of cycle lengths:
Tue Aug 25 08:26:38 2026  1 relations: 5920021
Tue Aug 25 08:26:38 2026  2 relations: 5858493
Tue Aug 25 08:26:38 2026  3 relations: 5723434
Tue Aug 25 08:26:38 2026  4 relations: 5120007
Tue Aug 25 08:26:38 2026  5 relations: 4522736
Tue Aug 25 08:26:38 2026  6 relations: 3879623
Tue Aug 25 08:26:38 2026  7 relations: 3203815
Tue Aug 25 08:26:38 2026  8 relations: 2463783
Tue Aug 25 08:26:38 2026  9 relations: 1806363
Tue Aug 25 08:26:38 2026  10+ relations: 3097949
Tue Aug 25 08:26:38 2026  heaviest cycle: 17 relations
Tue Aug 25 08:27:40 2026  RelProcTime: 8880
Tue Aug 25 08:27:52 2026
Tue Aug 25 08:27:52 2026  commencing linear algebra
Tue Aug 25 08:27:52 2026  using VBITS=256
Tue Aug 25 08:27:52 2026  stopping after matrix build
Tue Aug 25 08:27:54 2026  read 41596224 cycles
Tue Aug 25 08:28:38 2026  cycles contain 116520271 unique relations
Tue Aug 25 08:39:45 2026  read 116520271 relations
Tue Aug 25 08:41:02 2026  using 20 quadratic characters above 4294917295
Tue Aug 25 08:41:57 2026  building initial matrix
Tue Aug 25 08:58:34 2026  memory use: 16985.4 MB
Tue Aug 25 08:59:19 2026  read 41596224 cycles
Tue Aug 25 08:59:23 2026  matrix is 41596046 x 41596224 (12691.1 MB) with weight 3965028952 (95.32/col)
Tue Aug 25 08:59:23 2026  sparse part has weight 2827731587 (67.98/col)
Tue Aug 25 09:03:35 2026  filtering completed in 2 passes
Tue Aug 25 09:03:43 2026  matrix is 41582931 x 41583108 (12690.2 MB) with weight 3964619462 (95.34/col)
Tue Aug 25 09:03:43 2026  sparse part has weight 2827657733 (68.00/col)
Tue Aug 25 09:04:42 2026  BLanczosTime: 2210
Tue Aug 25 09:04:42 2026  elapsed time 03:05:03
Tue Aug 25 15:43:05 2026
Tue Aug 25 15:43:05 2026
Tue Aug 25 15:43:05 2026  Msieve v. 1.54 (SVN unknown)
Tue Aug 25 15:43:05 2026  random seeds: 6bf010e4 caf6dff0
Tue Aug 25 15:43:05 2026  factoring 56919581411124122009745453642928831531146444842015998494202037712264302677618476465830430278986998605994361369780191739609067439850413587784373560266374543995937548933820343882690043380290177129 (194 digits)
Tue Aug 25 15:43:05 2026  no P-1/P+1/ECM available, skipping
Tue Aug 25 15:43:05 2026  commencing number field sieve (194-digit input)
Tue Aug 25 15:43:05 2026  R0: -37975115582877415172108976686066761517
Tue Aug 25 15:43:05 2026  R1: 217874857916542110303809
Tue Aug 25 15:43:05 2026  A0: -6644064636804881507215011162418877775333343104
Tue Aug 25 15:43:05 2026  A1: 629815772375899038087229060230784800304
Tue Aug 25 15:43:05 2026  A2: 3035736557150627345735347561657
Tue Aug 25 15:43:05 2026  A3: -453974641062581443288905
Tue Aug 25 15:43:05 2026  A4: -460700470250832
Tue Aug 25 15:43:05 2026  A5: 2882880
Tue Aug 25 15:43:05 2026  skew 111009960.27, size 6.572e-19, alpha -8.161, combined = 1.345e-14 rroots = 5
Tue Aug 25 15:43:05 2026
Tue Aug 25 15:43:05 2026  commencing linear algebra
Tue Aug 25 15:43:05 2026  using VBITS=256
Tue Aug 25 15:43:05 2026  skipping matrix build
Tue Aug 25 15:43:44 2026  matrix starts at (0, 0)
Tue Aug 25 15:43:50 2026  matrix is 41582931 x 41583108 (12690.2 MB) with weight 3964619462 (95.34/col)
Tue Aug 25 15:43:50 2026  sparse part has weight 2827657733 (68.00/col)
Tue Aug 25 15:43:50 2026  saving the first 240 matrix rows for later
Tue Aug 25 15:44:03 2026  matrix includes 256 packed rows
Tue Aug 25 15:44:24 2026  matrix is 41582691 x 41583108 (11887.5 MB) with weight 2603641804 (62.61/col)
Tue Aug 25 15:44:24 2026  sparse part has weight 2450903591 (58.94/col)
Tue Aug 25 15:44:24 2026  using GPU 0 (NVIDIA GeForce RTX 5090)
Tue Aug 25 15:44:24 2026  selected card has CUDA arch 12.0
Tue Aug 25 15:44:25 2026  computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 58.9)
Tue Aug 25 15:44:25 2026  nonzeros per matrix block: 256000000
Tue Aug 25 15:52:24 2026  commencing Lanczos iteration
Tue Aug 25 15:58:20 2026
Tue Aug 25 15:58:20 2026
Tue Aug 25 15:58:20 2026  Msieve v. 1.54 (SVN unknown)
Tue Aug 25 15:58:20 2026  random seeds: 6330a0ab a43990b4
Tue Aug 25 15:58:20 2026  factoring 56919581411124122009745453642928831531146444842015998494202037712264302677618476465830430278986998605994361369780191739609067439850413587784373560266374543995937548933820343882690043380290177129 (194 digits)
Tue Aug 25 15:58:21 2026  no P-1/P+1/ECM available, skipping
Tue Aug 25 15:58:21 2026  commencing number field sieve (194-digit input)
Tue Aug 25 15:58:21 2026  R0: -37975115582877415172108976686066761517
Tue Aug 25 15:58:21 2026  R1: 217874857916542110303809
Tue Aug 25 15:58:21 2026  A0: -6644064636804881507215011162418877775333343104
Tue Aug 25 15:58:21 2026  A1: 629815772375899038087229060230784800304
Tue Aug 25 15:58:21 2026  A2: 3035736557150627345735347561657
Tue Aug 25 15:58:21 2026  A3: -453974641062581443288905
Tue Aug 25 15:58:21 2026  A4: -460700470250832
Tue Aug 25 15:58:21 2026  A5: 2882880
Tue Aug 25 15:58:21 2026  skew 111009960.27, size 6.572e-19, alpha -8.161, combined = 1.345e-14 rroots = 5
Tue Aug 25 15:58:21 2026
Tue Aug 25 15:58:21 2026  commencing linear algebra
Tue Aug 25 15:58:21 2026  using VBITS=256
Tue Aug 25 15:58:21 2026  skipping matrix build
Tue Aug 25 15:59:10 2026  matrix starts at (0, 0)
Tue Aug 25 15:59:16 2026  matrix is 41582931 x 41583108 (12690.2 MB) with weight 3964619462 (95.34/col)
Tue Aug 25 15:59:16 2026  sparse part has weight 2827657733 (68.00/col)
Tue Aug 25 15:59:16 2026  saving the first 240 matrix rows for later
Tue Aug 25 15:59:28 2026  matrix includes 256 packed rows
Tue Aug 25 15:59:39 2026  matrix is 41582691 x 41583108 (11887.5 MB) with weight 2603641804 (62.61/col)
Tue Aug 25 15:59:39 2026  sparse part has weight 2450903591 (58.94/col)
Tue Aug 25 15:59:39 2026  using GPU 0 (NVIDIA GeForce RTX 5090)
Tue Aug 25 15:59:39 2026  selected card has CUDA arch 12.0
Tue Aug 25 15:59:39 2026  computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 58.9)
Tue Aug 25 15:59:39 2026  nonzeros per matrix block: 384000000
Tue Aug 25 16:06:09 2026  commencing Lanczos iteration
Tue Aug 25 16:06:12 2026  memory use: 31071.8 MB
Tue Aug 25 16:06:53 2026  linear algebra at 0.1%, ETA 14h42m
Tue Aug 25 16:07:52 2026  checking every 40000 dimensions, checkpointing every 2840000 dimensions
Wed Aug 26 06:41:21 2026  lanczos halted after 162922 iterations (dim = 41582690)
Wed Aug 26 06:43:20 2026  recovered 30 nontrivial dependencies
Wed Aug 26 06:43:21 2026  BLanczosTime: 53100
Wed Aug 26 06:43:21 2026  elapsed time 14:45:01
Wed Aug 26 07:01:11 2026
Wed Aug 26 07:01:11 2026
Wed Aug 26 07:01:11 2026  Msieve v. 1.54 (SVN unknown)
Wed Aug 26 07:01:11 2026  random seeds: 23c192b4 30f18dcd
Wed Aug 26 07:01:11 2026  Using 14 OpenMP threads
Wed Aug 26 07:01:11 2026  factoring 56919581411124122009745453642928831531146444842015998494202037712264302677618476465830430278986998605994361369780191739609067439850413587784373560266374543995937548933820343882690043380290177129 (194 digits)
Wed Aug 26 07:01:11 2026  no P-1/P+1/ECM available, skipping
Wed Aug 26 07:01:11 2026  commencing number field sieve (194-digit input)
Wed Aug 26 07:01:11 2026  R0: -37975115582877415172108976686066761517
Wed Aug 26 07:01:11 2026  R1: 217874857916542110303809
Wed Aug 26 07:01:11 2026  A0: -6644064636804881507215011162418877775333343104
Wed Aug 26 07:01:11 2026  A1: 629815772375899038087229060230784800304
Wed Aug 26 07:01:11 2026  A2: 3035736557150627345735347561657
Wed Aug 26 07:01:11 2026  A3: -453974641062581443288905
Wed Aug 26 07:01:11 2026  A4: -460700470250832
Wed Aug 26 07:01:11 2026  A5: 2882880
Wed Aug 26 07:01:11 2026  skew 111009960.27, size 6.572e-19, alpha -8.161, combined = 1.345e-14 rroots = 5
Wed Aug 26 07:01:11 2026
Wed Aug 26 07:01:11 2026  commencing square root phase
Wed Aug 26 07:01:11 2026  reading relations for dependency 1
Wed Aug 26 07:01:17 2026  read 20790477 cycles
Wed Aug 26 07:01:43 2026  cycles contain 58253104 unique relations
Wed Aug 26 07:05:40 2026  read 58253104 relations
Wed Aug 26 07:08:10 2026  multiplying 58253104 relations
Wed Aug 26 07:14:07 2026  multiply complete, coefficients have about 3660.38 million bits
Wed Aug 26 07:14:13 2026  initial square root is modulo 162071603
Wed Aug 26 07:26:22 2026  sqrtTime: 1511
Wed Aug 26 07:26:22 2026  p66 factor: 147356020742255212275263326186444234062161573825249508478712292983
Wed Aug 26 07:26:22 2026  p129 factor: 386272519605315961804620126993650165128676765136801672881261517189363058145719825541419186139621528808571880329951244108226322463
Wed Aug 26 07:26:22 2026  elapsed time 00:25:11