13333_325

Sat Aug 16 14:01:35 2025
Sat Aug 16 14:01:35 2025
Sat Aug 16 14:01:35 2025  Msieve v. 1.54 (SVN Unversioned directory)
Sat Aug 16 14:01:35 2025  random seeds: af68f150 ce3d1b3f
Sat Aug 16 14:01:35 2025  MPI process 0 of 1
Sat Aug 16 14:01:35 2025  Using 46 OpenMP threads
Sat Aug 16 14:01:35 2025  factoring 277600670577093948367120741109522001640863013455104958706584556758271824795174659642422748757003533225310851043740321816788738484601918743834301853054299945017321757915860488321 (177 digits)
Sat Aug 16 14:01:35 2025  no P-1/P+1/ECM available, skipping
Sat Aug 16 14:01:35 2025  commencing number field sieve (177-digit input)
Sat Aug 16 14:01:35 2025  reversing signs of algebraic polynomial
Sat Aug 16 14:01:35 2025  R0: -13632047046478159401011339653672814
Sat Aug 16 14:01:35 2025  R1: 722479712320641232631
Sat Aug 16 14:01:35 2025  A0: -1610553898286290193037296231340554558528448
Sat Aug 16 14:01:35 2025  A1: 496983828722015109232444242215575224
Sat Aug 16 14:01:35 2025  A2: 43395334275285189766428697121
Sat Aug 16 14:01:35 2025  A3: -4713671070577368602771
Sat Aug 16 14:01:35 2025  A4: -129998039140576
Sat Aug 16 14:01:35 2025  A5: 2358720
Sat Aug 16 14:01:35 2025  skew 20239282.70, size 2.965e-17, alpha -7.666, combined = 1.392e-13 rroots = 5
Sat Aug 16 14:01:35 2025
Sat Aug 16 14:01:35 2025  commencing relation filtering
Sat Aug 16 14:01:35 2025  setting target matrix density to 110.0
Sat Aug 16 14:01:35 2025  reversing signs of algebraic polynomial
Sat Aug 16 14:01:35 2025  estimated available RAM is 385607.8 MB
Sat Aug 16 14:01:35 2025  commencing duplicate removal, pass 1
Sat Aug 16 14:04:52 2025  error -1 reading relation 314911310
Sat Aug 16 14:04:52 2025  error -1 reading relation 314911311
Sat Aug 16 14:04:52 2025  error -1 reading relation 314928644
Sat Aug 16 14:04:54 2025  skipped 2 relations with composite factors
Sat Aug 16 14:04:54 2025  skipped 297 malformed relations
Sat Aug 16 14:04:54 2025  found 21379749 hash collisions in 317964410 relations
Sat Aug 16 14:05:15 2025  commencing duplicate removal, pass 2
Sat Aug 16 14:06:20 2025  found 2 duplicates and 317964408 unique relations
Sat Aug 16 14:06:20 2025  memory use: 1321.5 MB
Sat Aug 16 14:06:20 2025  reading ideals above 720000
Sat Aug 16 14:06:20 2025  commencing singleton removal, initial pass
Sat Aug 16 14:16:11 2025  memory use: 6024.0 MB
Sat Aug 16 14:16:11 2025  reading all ideals from disk
Sat Aug 16 14:16:20 2025  memory use: 15264.4 MB
Sat Aug 16 14:16:42 2025  keeping 305854846 ideals with weight <= 200, target excess is 1708858
Sat Aug 16 14:17:09 2025  commencing in-memory singleton removal
Sat Aug 16 14:17:12 2025  begin with 317964408 relations and 305854846 unique ideals
Sat Aug 16 14:17:24 2025  reduce to 178235314 relations and 149620335 ideals in 16 passes
Sat Aug 16 14:17:25 2025  max relations containing the same ideal: 143
Sat Aug 16 14:18:07 2025  removing 13461369 relations and 11461369 ideals in 2000000 cliques
Sat Aug 16 14:18:12 2025  commencing in-memory singleton removal
Sat Aug 16 14:18:14 2025  begin with 164773945 relations and 149620335 unique ideals
Sat Aug 16 14:18:19 2025  reduce to 164005365 relations and 137378940 ideals in 10 passes
Sat Aug 16 14:18:19 2025  max relations containing the same ideal: 138
Sat Aug 16 14:19:01 2025  removing 10163765 relations and 8163765 ideals in 2000000 cliques
Sat Aug 16 14:19:06 2025  commencing in-memory singleton removal
Sat Aug 16 14:19:07 2025  begin with 153841600 relations and 137378940 unique ideals
Sat Aug 16 14:19:12 2025  reduce to 153337197 relations and 128704337 ideals in 9 passes
Sat Aug 16 14:19:12 2025  max relations containing the same ideal: 132
Sat Aug 16 14:19:49 2025  removing 9153041 relations and 7153041 ideals in 2000000 cliques
Sat Aug 16 14:19:54 2025  commencing in-memory singleton removal
Sat Aug 16 14:19:55 2025  begin with 144184156 relations and 128704337 unique ideals
Sat Aug 16 14:19:59 2025  reduce to 143742911 relations and 121104478 ideals in 8 passes
Sat Aug 16 14:19:59 2025  max relations containing the same ideal: 127
Sat Aug 16 14:20:35 2025  removing 8607554 relations and 6607554 ideals in 2000000 cliques
Sat Aug 16 14:20:38 2025  commencing in-memory singleton removal
Sat Aug 16 14:20:40 2025  begin with 135135357 relations and 121104478 unique ideals
Sat Aug 16 14:20:43 2025  reduce to 134716122 relations and 114072315 ideals in 8 passes
Sat Aug 16 14:20:43 2025  max relations containing the same ideal: 121
Sat Aug 16 14:21:15 2025  removing 8280986 relations and 6280986 ideals in 2000000 cliques
Sat Aug 16 14:21:19 2025  commencing in-memory singleton removal
Sat Aug 16 14:21:20 2025  begin with 126435136 relations and 114072315 unique ideals
Sat Aug 16 14:21:24 2025  reduce to 126020170 relations and 107370617 ideals in 9 passes
Sat Aug 16 14:21:24 2025  max relations containing the same ideal: 115
Sat Aug 16 14:21:55 2025  removing 8070267 relations and 6070267 ideals in 2000000 cliques
Sat Aug 16 14:21:59 2025  commencing in-memory singleton removal
Sat Aug 16 14:22:00 2025  begin with 117949903 relations and 107370617 unique ideals
Sat Aug 16 14:22:03 2025  reduce to 117531202 relations and 100875739 ideals in 7 passes
Sat Aug 16 14:22:03 2025  max relations containing the same ideal: 108
Sat Aug 16 14:22:32 2025  removing 7928610 relations and 5928610 ideals in 2000000 cliques
Sat Aug 16 14:22:35 2025  commencing in-memory singleton removal
Sat Aug 16 14:22:36 2025  begin with 109602592 relations and 100875739 unique ideals
Sat Aug 16 14:22:39 2025  reduce to 109171414 relations and 94509438 ideals in 8 passes
Sat Aug 16 14:22:39 2025  max relations containing the same ideal: 103
Sat Aug 16 14:23:06 2025  removing 7839332 relations and 5839332 ideals in 2000000 cliques
Sat Aug 16 14:23:09 2025  commencing in-memory singleton removal
Sat Aug 16 14:23:10 2025  begin with 101332082 relations and 94509438 unique ideals
Sat Aug 16 14:23:13 2025  reduce to 100879562 relations and 88210315 ideals in 9 passes
Sat Aug 16 14:23:13 2025  max relations containing the same ideal: 100
Sat Aug 16 14:23:38 2025  removing 7801260 relations and 5801260 ideals in 2000000 cliques
Sat Aug 16 14:23:41 2025  commencing in-memory singleton removal
Sat Aug 16 14:23:42 2025  begin with 93078302 relations and 88210315 unique ideals
Sat Aug 16 14:23:44 2025  reduce to 92595041 relations and 81917419 ideals in 7 passes
Sat Aug 16 14:23:44 2025  max relations containing the same ideal: 93
Sat Aug 16 14:24:08 2025  removing 7798377 relations and 5798377 ideals in 2000000 cliques
Sat Aug 16 14:24:11 2025  commencing in-memory singleton removal
Sat Aug 16 14:24:11 2025  begin with 84796664 relations and 81917419 unique ideals
Sat Aug 16 14:24:14 2025  reduce to 84266967 relations and 75579428 ideals in 8 passes
Sat Aug 16 14:24:14 2025  max relations containing the same ideal: 86
Sat Aug 16 14:24:35 2025  removing 7842497 relations and 5842497 ideals in 2000000 cliques
Sat Aug 16 14:24:38 2025  commencing in-memory singleton removal
Sat Aug 16 14:24:39 2025  begin with 76424470 relations and 75579428 unique ideals
Sat Aug 16 14:24:41 2025  reduce to 75828431 relations and 69128628 ideals in 9 passes
Sat Aug 16 14:24:41 2025  max relations containing the same ideal: 83
Sat Aug 16 14:25:01 2025  removing 7932900 relations and 5932900 ideals in 2000000 cliques
Sat Aug 16 14:25:03 2025  commencing in-memory singleton removal
Sat Aug 16 14:25:04 2025  begin with 67895531 relations and 69128628 unique ideals
Sat Aug 16 14:25:06 2025  reduce to 67204540 relations and 62489019 ideals in 9 passes
Sat Aug 16 14:25:06 2025  max relations containing the same ideal: 77
Sat Aug 16 14:25:24 2025  removing 8078282 relations and 6078282 ideals in 2000000 cliques
Sat Aug 16 14:25:27 2025  commencing in-memory singleton removal
Sat Aug 16 14:25:27 2025  begin with 59126258 relations and 62489019 unique ideals
Sat Aug 16 14:25:29 2025  reduce to 58294550 relations and 55557874 ideals in 9 passes
Sat Aug 16 14:25:29 2025  max relations containing the same ideal: 69
Sat Aug 16 14:25:45 2025  removing 3896726 relations and 3142326 ideals in 754400 cliques
Sat Aug 16 14:25:47 2025  commencing in-memory singleton removal
Sat Aug 16 14:25:47 2025  begin with 54397824 relations and 55557874 unique ideals
Sat Aug 16 14:25:49 2025  reduce to 54194177 relations and 52209601 ideals in 8 passes
Sat Aug 16 14:25:49 2025  max relations containing the same ideal: 66
Sat Aug 16 14:26:09 2025  relations with 0 large ideals: 6876
Sat Aug 16 14:26:09 2025  relations with 1 large ideals: 67867
Sat Aug 16 14:26:09 2025  relations with 2 large ideals: 703872
Sat Aug 16 14:26:09 2025  relations with 3 large ideals: 3442292
Sat Aug 16 14:26:09 2025  relations with 4 large ideals: 9250235
Sat Aug 16 14:26:09 2025  relations with 5 large ideals: 14707188
Sat Aug 16 14:26:09 2025  relations with 6 large ideals: 14252416
Sat Aug 16 14:26:09 2025  relations with 7+ large ideals: 11763431
Sat Aug 16 14:26:09 2025  commencing 2-way merge
Sat Aug 16 14:26:32 2025  reduce to 32771099 relation sets and 30786523 unique ideals
Sat Aug 16 14:26:32 2025  commencing full merge
Sat Aug 16 14:32:05 2025  memory use: 3383.4 MB
Sat Aug 16 14:32:07 2025  found 14710216 cycles, need 14484723
Sat Aug 16 14:32:11 2025  weight of 14484723 cycles is about 1593921204 (110.04/cycle)
Sat Aug 16 14:32:12 2025  distribution of cycle lengths:
Sat Aug 16 14:32:12 2025  1 relations: 1140605
Sat Aug 16 14:32:12 2025  2 relations: 1051263
Sat Aug 16 14:32:12 2025  3 relations: 1118702
Sat Aug 16 14:32:12 2025  4 relations: 1111316
Sat Aug 16 14:32:12 2025  5 relations: 1114935
Sat Aug 16 14:32:12 2025  6 relations: 1084873
Sat Aug 16 14:32:12 2025  7 relations: 1053048
Sat Aug 16 14:32:12 2025  8 relations: 993484
Sat Aug 16 14:32:12 2025  9 relations: 918373
Sat Aug 16 14:32:12 2025  10+ relations: 4898124
Sat Aug 16 14:32:12 2025  heaviest cycle: 25 relations
Sat Aug 16 14:32:17 2025  commencing cycle optimization
Sat Aug 16 14:32:40 2025  start with 113333912 relations
Sat Aug 16 14:35:02 2025  pruned 3875092 relations
Sat Aug 16 14:35:02 2025  memory use: 3350.1 MB
Sat Aug 16 14:35:02 2025  distribution of cycle lengths:
Sat Aug 16 14:35:02 2025  1 relations: 1140605
Sat Aug 16 14:35:02 2025  2 relations: 1078750
Sat Aug 16 14:35:02 2025  3 relations: 1161673
Sat Aug 16 14:35:02 2025  4 relations: 1149499
Sat Aug 16 14:35:02 2025  5 relations: 1160231
Sat Aug 16 14:35:02 2025  6 relations: 1123937
Sat Aug 16 14:35:02 2025  7 relations: 1092824
Sat Aug 16 14:35:02 2025  8 relations: 1024008
Sat Aug 16 14:35:03 2025  9 relations: 944057
Sat Aug 16 14:35:03 2025  10+ relations: 4609139
Sat Aug 16 14:35:03 2025  heaviest cycle: 25 relations
Sat Aug 16 14:35:31 2025  RelProcTime: 2036
Sat Aug 16 14:35:31 2025  elapsed time 00:33:56
Sat Aug 16 14:35:32 2025
Sat Aug 16 14:35:32 2025
Sat Aug 16 14:35:32 2025  Msieve v. 1.54 (SVN Unversioned directory)
Sat Aug 16 14:35:32 2025  random seeds: 6fd80d2c bc9a8b1a
Sat Aug 16 14:35:32 2025  MPI process 0 of 1
Sat Aug 16 14:35:32 2025  Using 46 OpenMP threads
Sat Aug 16 14:35:32 2025  factoring 277600670577093948367120741109522001640863013455104958706584556758271824795174659642422748757003533225310851043740321816788738484601918743834301853054299945017321757915860488321 (177 digits)
Sat Aug 16 14:35:33 2025  no P-1/P+1/ECM available, skipping
Sat Aug 16 14:35:33 2025  commencing number field sieve (177-digit input)
Sat Aug 16 14:35:33 2025  reversing signs of algebraic polynomial
Sat Aug 16 14:35:33 2025  R0: -13632047046478159401011339653672814
Sat Aug 16 14:35:33 2025  R1: 722479712320641232631
Sat Aug 16 14:35:33 2025  A0: -1610553898286290193037296231340554558528448
Sat Aug 16 14:35:33 2025  A1: 496983828722015109232444242215575224
Sat Aug 16 14:35:33 2025  A2: 43395334275285189766428697121
Sat Aug 16 14:35:33 2025  A3: -4713671070577368602771
Sat Aug 16 14:35:33 2025  A4: -129998039140576
Sat Aug 16 14:35:33 2025  A5: 2358720
Sat Aug 16 14:35:33 2025  skew 20239282.70, size 2.965e-17, alpha -7.666, combined = 1.392e-13 rroots = 5
Sat Aug 16 14:35:33 2025
Sat Aug 16 14:35:33 2025  commencing linear algebra
Sat Aug 16 14:35:33 2025  using VBITS=256
Sat Aug 16 14:35:33 2025  stopping after matrix build
Sat Aug 16 14:35:33 2025  initialized process (0,0) of 1 x 1 grid
Sat Aug 16 14:35:33 2025  reversing signs of algebraic polynomial
Sat Aug 16 14:35:34 2025  read 14484723 cycles
Sat Aug 16 14:36:01 2025  cycles contain 52870766 unique relations
Sat Aug 16 14:36:31 2025  read 52870766 relations
Sat Aug 16 14:36:34 2025  using 20 quadratic characters above 4294917295
Sat Aug 16 14:36:41 2025  building initial matrix
Sat Aug 16 14:44:47 2025  memory use: 7219.3 MB
Sat Aug 16 14:44:58 2025  read 14484723 cycles
Sat Aug 16 14:45:00 2025  matrix is 14484536 x 14484723 (6410.5 MB) with weight 1955156287 (134.98/col)
Sat Aug 16 14:45:00 2025  sparse part has weight 1506650985 (104.02/col)
Sat Aug 16 14:47:32 2025  filtering completed in 2 passes
Sat Aug 16 14:47:34 2025  matrix is 14480107 x 14480294 (6410.0 MB) with weight 1954945551 (135.01/col)
Sat Aug 16 14:47:34 2025  sparse part has weight 1506582165 (104.04/col)
Sat Aug 16 14:48:08 2025  BLanczosTime: 755
Sat Aug 16 14:48:08 2025  elapsed time 00:12:36
Sat Aug 16 14:49:32 2025
Sat Aug 16 14:49:32 2025
Sat Aug 16 14:49:32 2025  Msieve v. 1.54 (SVN Unversioned directory)
Sat Aug 16 14:49:32 2025  random seeds: 7b47c00a 23f16ece
Sat Aug 16 14:49:32 2025  MPI process 0 of 4
Sat Aug 16 14:49:32 2025  Using 15 OpenMP threads
Sat Aug 16 14:49:32 2025  factoring 277600670577093948367120741109522001640863013455104958706584556758271824795174659642422748757003533225310851043740321816788738484601918743834301853054299945017321757915860488321 (177 digits)
Sat Aug 16 14:49:32 2025  no P-1/P+1/ECM available, skipping
Sat Aug 16 14:49:32 2025  commencing number field sieve (177-digit input)
Sat Aug 16 14:49:32 2025  reversing signs of algebraic polynomial
Sat Aug 16 14:49:32 2025  R0: -13632047046478159401011339653672814
Sat Aug 16 14:49:32 2025  R1: 722479712320641232631
Sat Aug 16 14:49:32 2025  A0: -1610553898286290193037296231340554558528448
Sat Aug 16 14:49:32 2025  A1: 496983828722015109232444242215575224
Sat Aug 16 14:49:32 2025  A2: 43395334275285189766428697121
Sat Aug 16 14:49:32 2025  A3: -4713671070577368602771
Sat Aug 16 14:49:32 2025  A4: -129998039140576
Sat Aug 16 14:49:32 2025  A5: 2358720
Sat Aug 16 14:49:32 2025  skew 20239282.70, size 2.965e-17, alpha -7.666, combined = 1.392e-13 rroots = 5
Sat Aug 16 14:49:32 2025
Sat Aug 16 14:49:32 2025  commencing linear algebra
Sat Aug 16 14:49:32 2025  using VBITS=256
Sat Aug 16 14:49:32 2025  skipping matrix build
Sat Aug 16 14:49:32 2025  initialized process (0,0) of 2 x 2 grid
Sat Aug 16 14:49:40 2025  matrix starts at (0, 0)
Sat Aug 16 14:49:40 2025  matrix is 7240174 x 7240123 (1884.2 MB) with weight 631229801 (87.18/col)
Sat Aug 16 14:49:40 2025  sparse part has weight 407045741 (56.22/col)
Sat Aug 16 14:49:40 2025  saving the first 240 matrix rows for later
Sat Aug 16 14:49:41 2025  matrix includes 256 packed rows
Sat Aug 16 14:49:42 2025  matrix is 7239934 x 7240123 (1642.2 MB) with weight 346650471 (47.88/col)
Sat Aug 16 14:49:42 2025  sparse part has weight 314663684 (43.46/col)
Sat Aug 16 14:49:42 2025  using GPU 0 (NVIDIA H200)
Sat Aug 16 14:49:42 2025  selected card has CUDA arch 9.0
Sat Aug 16 14:50:02 2025  commencing Lanczos iteration
Sat Aug 16 14:50:02 2025  memory use: 3781.6 MB
Sat Aug 16 14:50:06 2025  linear algebra at 0.2%, ETA 0h23m
Sat Aug 16 14:50:11 2025  checking every 570000 dimensions, checkpointing every 34770000 dimensions
Sat Aug 16 15:15:41 2025  lanczos halted after 56733 iterations (dim = 14479865)
Sat Aug 16 15:16:26 2025  recovered 28 nontrivial dependencies
Sat Aug 16 15:16:27 2025  BLanczosTime: 1615
Sat Aug 16 15:16:27 2025  elapsed time 00:26:55
Sat Aug 16 15:16:28 2025
Sat Aug 16 15:16:28 2025
Sat Aug 16 15:16:28 2025  Msieve v. 1.54 (SVN Unversioned directory)
Sat Aug 16 15:16:28 2025  random seeds: cd112d07 844ba2e9
Sat Aug 16 15:16:28 2025  MPI process 0 of 1
Sat Aug 16 15:16:28 2025  Using 32 OpenMP threads
Sat Aug 16 15:16:28 2025  factoring 277600670577093948367120741109522001640863013455104958706584556758271824795174659642422748757003533225310851043740321816788738484601918743834301853054299945017321757915860488321 (177 digits)
Sat Aug 16 15:16:29 2025  no P-1/P+1/ECM available, skipping
Sat Aug 16 15:16:29 2025  commencing number field sieve (177-digit input)
Sat Aug 16 15:16:29 2025  reversing signs of algebraic polynomial
Sat Aug 16 15:16:29 2025  R0: -13632047046478159401011339653672814
Sat Aug 16 15:16:29 2025  R1: 722479712320641232631
Sat Aug 16 15:16:29 2025  A0: -1610553898286290193037296231340554558528448
Sat Aug 16 15:16:29 2025  A1: 496983828722015109232444242215575224
Sat Aug 16 15:16:29 2025  A2: 43395334275285189766428697121
Sat Aug 16 15:16:29 2025  A3: -4713671070577368602771
Sat Aug 16 15:16:29 2025  A4: -129998039140576
Sat Aug 16 15:16:29 2025  A5: 2358720
Sat Aug 16 15:16:29 2025  skew 20239282.70, size 2.965e-17, alpha -7.666, combined = 1.392e-13 rroots = 5
Sat Aug 16 15:16:29 2025
Sat Aug 16 15:16:29 2025  commencing square root phase
Sat Aug 16 15:16:29 2025  reversing signs of algebraic polynomial
Sat Aug 16 15:16:29 2025  reading relations for dependency 1
Sat Aug 16 15:16:30 2025  read 7237630 cycles
Sat Aug 16 15:16:41 2025  cycles contain 26429052 unique relations
Sat Aug 16 15:17:23 2025  read 26429052 relations
Sat Aug 16 15:18:49 2025  multiplying 26429052 relations
Sat Aug 16 15:20:56 2025  multiply complete, coefficients have about 1582.39 million bits
Sat Aug 16 15:20:59 2025  initial square root is modulo 12536011
Sat Aug 16 15:28:08 2025  GCD is N, no factor found
Sat Aug 16 15:28:08 2025  reading relations for dependency 2
Sat Aug 16 15:28:09 2025  read 7237703 cycles
Sat Aug 16 15:28:20 2025  cycles contain 26429626 unique relations
Sat Aug 16 15:28:42 2025  read 26429626 relations
Sat Aug 16 15:30:27 2025  multiplying 26429626 relations
Sat Aug 16 15:32:34 2025  multiply complete, coefficients have about 1582.42 million bits
Sat Aug 16 15:32:37 2025  initial square root is modulo 12540797
Sat Aug 16 15:39:49 2025  GCD is N, no factor found
Sat Aug 16 15:39:49 2025  reading relations for dependency 3
Sat Aug 16 15:39:50 2025  read 7240819 cycles
Sat Aug 16 15:40:02 2025  cycles contain 26440076 unique relations
Sat Aug 16 15:40:23 2025  read 26440076 relations
Sat Aug 16 15:42:01 2025  multiplying 26440076 relations
Sat Aug 16 15:44:11 2025  multiply complete, coefficients have about 1583.04 million bits
Sat Aug 16 15:44:14 2025  initial square root is modulo 12621353
Sat Aug 16 15:51:33 2025  sqrtTime: 2104
Sat Aug 16 15:51:33 2025  p66 factor: 629018052286136469038262463762044795835583623596163661433978434329
Sat Aug 16 15:51:33 2025  p111 factor: 441323853215607076576629788973821698033821619890662187855044413524653164121308963421629402764510730249899367849
Sat Aug 16 15:51:33 2025  elapsed time 00:35:05