Sun Jun 29 19:13:49 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Sun Jun 29 19:13:49 2025 random seeds: f1a88845 f9df2d5f Sun Jun 29 19:13:49 2025 Using 16 OpenMP threads Sun Jun 29 19:13:49 2025 factoring 28288319731027361947147063797720458993826244975546272748505051297672832404554421926842796142802099955153879052764842552129884768051520023227843561236943802470830569666212154140411504618331835475175734712571048537533 (215 digits) Sun Jun 29 19:13:50 2025 no P-1/P+1/ECM available, skipping Sun Jun 29 19:13:50 2025 commencing number field sieve (215-digit input) Sun Jun 29 19:13:50 2025 R0: 1500259997434070854049947874911281561380641 Sun Jun 29 19:13:50 2025 R1: -1 Sun Jun 29 19:13:50 2025 A0: -3271 Sun Jun 29 19:13:50 2025 A1: 0 Sun Jun 29 19:13:50 2025 A2: 0 Sun Jun 29 19:13:50 2025 A3: 0 Sun Jun 29 19:13:50 2025 A4: 0 Sun Jun 29 19:13:50 2025 A5: 0 Sun Jun 29 19:13:50 2025 A6: 1 Sun Jun 29 19:13:50 2025 skew 4.97, size 1.292e-12, alpha 0.507, combined = 1.434e-13 rroots = 2 Sun Jun 29 19:13:50 2025 Sun Jun 29 19:13:50 2025 commencing relation filtering Sun Jun 29 19:13:50 2025 setting target matrix density to 130.0 Sun Jun 29 19:13:50 2025 estimated available RAM is 128734.6 MB Sun Jun 29 19:13:50 2025 commencing duplicate removal, pass 1 Sun Jun 29 19:15:42 2025 error -15 reading relation 144043279 Sun Jun 29 19:16:02 2025 skipped 32 relations with b > 2^32 Sun Jun 29 19:16:02 2025 found 7112382 hash collisions in 179583592 relations Sun Jun 29 19:16:09 2025 added 1218339 free relations Sun Jun 29 19:16:09 2025 commencing duplicate removal, pass 2 Sun Jun 29 19:16:39 2025 found 0 duplicates and 180801931 unique relations Sun Jun 29 19:16:39 2025 memory use: 554.4 MB Sun Jun 29 19:16:39 2025 reading ideals above 720000 Sun Jun 29 19:16:39 2025 commencing singleton removal, initial pass Sun Jun 29 19:22:17 2025 memory use: 3012.0 MB Sun Jun 29 19:22:17 2025 reading all ideals from disk Sun Jun 29 19:22:18 2025 memory use: 8721.5 MB Sun Jun 29 19:22:25 2025 keeping 150392483 ideals with weight <= 200, target excess is 945352 Sun Jun 29 19:22:34 2025 commencing in-memory singleton removal Sun Jun 29 19:22:37 2025 begin with 180801931 relations and 150392483 unique ideals Sun Jun 29 19:22:51 2025 reduce to 147346340 relations and 115576230 ideals in 12 passes Sun Jun 29 19:22:51 2025 max relations containing the same ideal: 184 Sun Jun 29 19:23:15 2025 removing 10159441 relations and 8159441 ideals in 2000000 cliques Sun Jun 29 19:23:18 2025 commencing in-memory singleton removal Sun Jun 29 19:23:20 2025 begin with 137186899 relations and 115576230 unique ideals Sun Jun 29 19:23:28 2025 reduce to 136634121 relations and 106854527 ideals in 8 passes Sun Jun 29 19:23:28 2025 max relations containing the same ideal: 177 Sun Jun 29 19:23:50 2025 removing 7817769 relations and 5817769 ideals in 2000000 cliques Sun Jun 29 19:23:53 2025 commencing in-memory singleton removal Sun Jun 29 19:23:55 2025 begin with 128816352 relations and 106854527 unique ideals Sun Jun 29 19:24:01 2025 reduce to 128444979 relations and 100659766 ideals in 7 passes Sun Jun 29 19:24:01 2025 max relations containing the same ideal: 170 Sun Jun 29 19:24:22 2025 removing 7131109 relations and 5131109 ideals in 2000000 cliques Sun Jun 29 19:24:25 2025 commencing in-memory singleton removal Sun Jun 29 19:24:26 2025 begin with 121313870 relations and 100659766 unique ideals Sun Jun 29 19:24:32 2025 reduce to 120987361 relations and 95197176 ideals in 6 passes Sun Jun 29 19:24:32 2025 max relations containing the same ideal: 162 Sun Jun 29 19:24:52 2025 removing 6781947 relations and 4781947 ideals in 2000000 cliques Sun Jun 29 19:24:54 2025 commencing in-memory singleton removal Sun Jun 29 19:24:56 2025 begin with 114205414 relations and 95197176 unique ideals Sun Jun 29 19:25:02 2025 reduce to 113898905 relations and 90104024 ideals in 7 passes Sun Jun 29 19:25:02 2025 max relations containing the same ideal: 160 Sun Jun 29 19:25:21 2025 removing 6567557 relations and 4567557 ideals in 2000000 cliques Sun Jun 29 19:25:23 2025 commencing in-memory singleton removal Sun Jun 29 19:25:24 2025 begin with 107331348 relations and 90104024 unique ideals Sun Jun 29 19:25:30 2025 reduce to 107031922 relations and 85232241 ideals in 7 passes Sun Jun 29 19:25:30 2025 max relations containing the same ideal: 149 Sun Jun 29 19:25:48 2025 removing 6428726 relations and 4428726 ideals in 2000000 cliques Sun Jun 29 19:25:50 2025 commencing in-memory singleton removal Sun Jun 29 19:25:51 2025 begin with 100603196 relations and 85232241 unique ideals Sun Jun 29 19:25:56 2025 reduce to 100304286 relations and 80499651 ideals in 6 passes Sun Jun 29 19:25:56 2025 max relations containing the same ideal: 145 Sun Jun 29 19:26:13 2025 removing 6335060 relations and 4335060 ideals in 2000000 cliques Sun Jun 29 19:26:15 2025 commencing in-memory singleton removal Sun Jun 29 19:26:16 2025 begin with 93969226 relations and 80499651 unique ideals Sun Jun 29 19:26:20 2025 reduce to 93664642 relations and 75854632 ideals in 6 passes Sun Jun 29 19:26:20 2025 max relations containing the same ideal: 137 Sun Jun 29 19:26:37 2025 removing 6274779 relations and 4274779 ideals in 2000000 cliques Sun Jun 29 19:26:38 2025 commencing in-memory singleton removal Sun Jun 29 19:26:40 2025 begin with 87389863 relations and 75854632 unique ideals Sun Jun 29 19:26:44 2025 reduce to 87076202 relations and 71260287 ideals in 7 passes Sun Jun 29 19:26:44 2025 max relations containing the same ideal: 130 Sun Jun 29 19:26:59 2025 removing 6240280 relations and 4240280 ideals in 2000000 cliques Sun Jun 29 19:27:01 2025 commencing in-memory singleton removal Sun Jun 29 19:27:02 2025 begin with 80835922 relations and 71260287 unique ideals Sun Jun 29 19:27:06 2025 reduce to 80504929 relations and 66682258 ideals in 7 passes Sun Jun 29 19:27:06 2025 max relations containing the same ideal: 124 Sun Jun 29 19:27:20 2025 removing 6231270 relations and 4231270 ideals in 2000000 cliques Sun Jun 29 19:27:22 2025 commencing in-memory singleton removal Sun Jun 29 19:27:23 2025 begin with 74273659 relations and 66682258 unique ideals Sun Jun 29 19:27:26 2025 reduce to 73919666 relations and 62089372 ideals in 6 passes Sun Jun 29 19:27:26 2025 max relations containing the same ideal: 120 Sun Jun 29 19:27:39 2025 removing 6243548 relations and 4243548 ideals in 2000000 cliques Sun Jun 29 19:27:41 2025 commencing in-memory singleton removal Sun Jun 29 19:27:42 2025 begin with 67676118 relations and 62089372 unique ideals Sun Jun 29 19:27:45 2025 reduce to 67290712 relations and 57451555 ideals in 7 passes Sun Jun 29 19:27:45 2025 max relations containing the same ideal: 114 Sun Jun 29 19:27:57 2025 removing 6275381 relations and 4275381 ideals in 2000000 cliques Sun Jun 29 19:27:58 2025 commencing in-memory singleton removal Sun Jun 29 19:27:59 2025 begin with 61015331 relations and 57451555 unique ideals Sun Jun 29 19:28:02 2025 reduce to 60589834 relations and 52739979 ideals in 7 passes Sun Jun 29 19:28:02 2025 max relations containing the same ideal: 109 Sun Jun 29 19:28:13 2025 removing 6335376 relations and 4335376 ideals in 2000000 cliques Sun Jun 29 19:28:15 2025 commencing in-memory singleton removal Sun Jun 29 19:28:15 2025 begin with 54254458 relations and 52739979 unique ideals Sun Jun 29 19:28:18 2025 reduce to 53773086 relations and 47909404 ideals in 7 passes Sun Jun 29 19:28:18 2025 max relations containing the same ideal: 98 Sun Jun 29 19:28:28 2025 removing 6415586 relations and 4415586 ideals in 2000000 cliques Sun Jun 29 19:28:30 2025 commencing in-memory singleton removal Sun Jun 29 19:28:30 2025 begin with 47357500 relations and 47909404 unique ideals Sun Jun 29 19:28:32 2025 reduce to 46798391 relations and 42917063 ideals in 7 passes Sun Jun 29 19:28:32 2025 max relations containing the same ideal: 90 Sun Jun 29 19:28:42 2025 removing 6525510 relations and 4525510 ideals in 2000000 cliques Sun Jun 29 19:28:43 2025 commencing in-memory singleton removal Sun Jun 29 19:28:43 2025 begin with 40272881 relations and 42917063 unique ideals Sun Jun 29 19:28:46 2025 reduce to 39600915 relations and 37695410 ideals in 9 passes Sun Jun 29 19:28:46 2025 max relations containing the same ideal: 81 Sun Jun 29 19:28:54 2025 removing 3230859 relations and 2421963 ideals in 808896 cliques Sun Jun 29 19:28:55 2025 commencing in-memory singleton removal Sun Jun 29 19:28:55 2025 begin with 36370056 relations and 37695410 unique ideals Sun Jun 29 19:28:57 2025 reduce to 36172928 relations and 35072936 ideals in 7 passes Sun Jun 29 19:28:57 2025 max relations containing the same ideal: 73 Sun Jun 29 19:29:07 2025 relations with 0 large ideals: 35536 Sun Jun 29 19:29:07 2025 relations with 1 large ideals: 16452 Sun Jun 29 19:29:07 2025 relations with 2 large ideals: 196647 Sun Jun 29 19:29:07 2025 relations with 3 large ideals: 1203494 Sun Jun 29 19:29:07 2025 relations with 4 large ideals: 3968443 Sun Jun 29 19:29:07 2025 relations with 5 large ideals: 7810566 Sun Jun 29 19:29:07 2025 relations with 6 large ideals: 9626257 Sun Jun 29 19:29:07 2025 relations with 7+ large ideals: 13315533 Sun Jun 29 19:29:07 2025 commencing 2-way merge Sun Jun 29 19:29:18 2025 reduce to 23594994 relation sets and 22495002 unique ideals Sun Jun 29 19:29:18 2025 commencing full merge Sun Jun 29 19:34:52 2025 memory use: 3064.7 MB Sun Jun 29 19:34:53 2025 found 10421891 cycles, need 10393202 Sun Jun 29 19:34:55 2025 weight of 10393202 cycles is about 1351861197 (130.07/cycle) Sun Jun 29 19:34:55 2025 distribution of cycle lengths: Sun Jun 29 19:34:55 2025 1 relations: 451469 Sun Jun 29 19:34:55 2025 2 relations: 583498 Sun Jun 29 19:34:55 2025 3 relations: 664013 Sun Jun 29 19:34:55 2025 4 relations: 685831 Sun Jun 29 19:34:55 2025 5 relations: 708301 Sun Jun 29 19:34:55 2025 6 relations: 710235 Sun Jun 29 19:34:55 2025 7 relations: 702335 Sun Jun 29 19:34:55 2025 8 relations: 683456 Sun Jun 29 19:34:55 2025 9 relations: 652420 Sun Jun 29 19:34:55 2025 10+ relations: 4551644 Sun Jun 29 19:34:55 2025 heaviest cycle: 28 relations Sun Jun 29 19:34:57 2025 commencing cycle optimization Sun Jun 29 19:35:11 2025 start with 97831319 relations Sun Jun 29 19:37:22 2025 pruned 4999335 relations Sun Jun 29 19:37:22 2025 memory use: 2495.3 MB Sun Jun 29 19:37:22 2025 distribution of cycle lengths: Sun Jun 29 19:37:22 2025 1 relations: 451469 Sun Jun 29 19:37:22 2025 2 relations: 597811 Sun Jun 29 19:37:22 2025 3 relations: 692317 Sun Jun 29 19:37:22 2025 4 relations: 716050 Sun Jun 29 19:37:22 2025 5 relations: 746234 Sun Jun 29 19:37:22 2025 6 relations: 748486 Sun Jun 29 19:37:22 2025 7 relations: 743399 Sun Jun 29 19:37:22 2025 8 relations: 723158 Sun Jun 29 19:37:22 2025 9 relations: 689893 Sun Jun 29 19:37:22 2025 10+ relations: 4284385 Sun Jun 29 19:37:22 2025 heaviest cycle: 28 relations Sun Jun 29 19:37:32 2025 RelProcTime: 1422 Sun Jun 29 19:37:32 2025 elapsed time 00:23:43 Sun Jun 29 21:00:25 2025 Sun Jun 29 21:00:25 2025 Sun Jun 29 21:00:25 2025 Msieve v. 1.54 (SVN 66ed352) Sun Jun 29 21:00:25 2025 random seeds: 0d9f02db 58bcdd9c Sun Jun 29 21:00:25 2025 MPI process 0 of 2 Sun Jun 29 21:00:25 2025 Using 8 OpenMP threads Sun Jun 29 21:00:25 2025 factoring 28288319731027361947147063797720458993826244975546272748505051297672832404554421926842796142802099955153879052764842552129884768051520023227843561236943802470830569666212154140411504618331835475175734712571048537533 (215 digits) Sun Jun 29 21:00:26 2025 no P-1/P+1/ECM available, skipping Sun Jun 29 21:00:26 2025 commencing number field sieve (215-digit input) Sun Jun 29 21:00:26 2025 R0: 1500259997434070854049947874911281561380641 Sun Jun 29 21:00:26 2025 R1: -1 Sun Jun 29 21:00:26 2025 A0: -3271 Sun Jun 29 21:00:26 2025 A1: 0 Sun Jun 29 21:00:26 2025 A2: 0 Sun Jun 29 21:00:26 2025 A3: 0 Sun Jun 29 21:00:26 2025 A4: 0 Sun Jun 29 21:00:26 2025 A5: 0 Sun Jun 29 21:00:26 2025 A6: 1 Sun Jun 29 21:00:26 2025 skew 4.97, size 1.292e-12, alpha 0.507, combined = 1.434e-13 rroots = 2 Sun Jun 29 21:00:26 2025 Sun Jun 29 21:00:26 2025 commencing linear algebra Sun Jun 29 21:00:26 2025 using VBITS=256 Sun Jun 29 21:00:26 2025 initialized process (0,0) of 1 x 2 grid Sun Jun 29 21:00:26 2025 read 10393202 cycles Sun Jun 29 21:00:39 2025 cycles contain 35585619 unique relations Sun Jun 29 21:01:05 2025 read 35585619 relations Sun Jun 29 21:01:12 2025 using 20 quadratic characters above 4294917295 Sun Jun 29 21:01:21 2025 building initial matrix Sun Jun 29 21:05:56 2025 memory use: 4774.1 MB Sun Jun 29 21:06:01 2025 read 10393202 cycles Sun Jun 29 21:06:02 2025 matrix is 10393025 x 10393202 (5231.7 MB) with weight 1513607880 (145.63/col) Sun Jun 29 21:06:02 2025 sparse part has weight 1257121097 (120.96/col) Sun Jun 29 21:07:04 2025 filtering completed in 2 passes Sun Jun 29 21:07:05 2025 matrix is 10392907 x 10393079 (5231.6 MB) with weight 1513603185 (145.64/col) Sun Jun 29 21:07:05 2025 sparse part has weight 1257119407 (120.96/col) Sun Jun 29 21:07:25 2025 matrix starts at (0, 0) Sun Jun 29 21:07:25 2025 matrix is 10392907 x 5196535 (2615.8 MB) with weight 756796677 (145.63/col) Sun Jun 29 21:07:25 2025 sparse part has weight 628559829 (120.96/col) Sun Jun 29 21:07:25 2025 saving the first 240 matrix rows for later Sun Jun 29 21:07:26 2025 matrix includes 256 packed rows Sun Jun 29 21:07:28 2025 matrix is 10392667 x 5196535 (2384.4 MB) with weight 571393265 (109.96/col) Sun Jun 29 21:07:28 2025 sparse part has weight 541920411 (104.28/col) Sun Jun 29 21:07:28 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Sun Jun 29 21:07:28 2025 selected card has CUDA arch 8.6 Sun Jun 29 21:07:47 2025 commencing Lanczos iteration Sun Jun 29 21:07:48 2025 memory use: 5938.4 MB Sun Jun 29 21:08:07 2025 linear algebra at 0.3%, ETA 1h47m Sun Jun 29 21:08:34 2025 checking every 100000 dimensions, checkpointing every 6100000 dimensions Sun Jun 29 22:50:34 2025 lanczos halted after 40718 iterations (dim = 10392665) Sun Jun 29 22:51:01 2025 recovered 36 nontrivial dependencies Sun Jun 29 22:51:01 2025 BLanczosTime: 6635 Sun Jun 29 22:51:01 2025 elapsed time 01:50:36 Mon Jun 30 18:58:28 2025 Mon Jun 30 18:58:28 2025 Mon Jun 30 18:58:28 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Mon Jun 30 18:58:28 2025 random seeds: 1a884bb1 725b5fd4 Mon Jun 30 18:58:28 2025 Using 16 OpenMP threads Mon Jun 30 18:58:28 2025 factoring 28288319731027361947147063797720458993826244975546272748505051297672832404554421926842796142802099955153879052764842552129884768051520023227843561236943802470830569666212154140411504618331835475175734712571048537533 (215 digits) Mon Jun 30 18:58:29 2025 no P-1/P+1/ECM available, skipping Mon Jun 30 18:58:29 2025 commencing number field sieve (215-digit input) Mon Jun 30 18:58:29 2025 R0: 1500259997434070854049947874911281561380641 Mon Jun 30 18:58:29 2025 R1: -1 Mon Jun 30 18:58:29 2025 A0: -3271 Mon Jun 30 18:58:29 2025 A1: 0 Mon Jun 30 18:58:29 2025 A2: 0 Mon Jun 30 18:58:29 2025 A3: 0 Mon Jun 30 18:58:29 2025 A4: 0 Mon Jun 30 18:58:29 2025 A5: 0 Mon Jun 30 18:58:29 2025 A6: 1 Mon Jun 30 18:58:29 2025 skew 4.97, size 1.292e-12, alpha 0.507, combined = 1.434e-13 rroots = 2 Mon Jun 30 18:58:29 2025 Mon Jun 30 18:58:29 2025 commencing square root phase Mon Jun 30 18:58:29 2025 reading relations for dependency 1 Mon Jun 30 18:58:29 2025 read 5194348 cycles Mon Jun 30 18:58:36 2025 cycles contain 17786258 unique relations Mon Jun 30 18:58:55 2025 read 17786258 relations Mon Jun 30 18:59:35 2025 multiplying 17786258 relations Mon Jun 30 19:00:18 2025 multiply complete, coefficients have about 474.27 million bits Mon Jun 30 19:00:18 2025 initial square root is modulo 323461357 Mon Jun 30 19:01:50 2025 found factor: 8001112444243822960202203445003455086816721040522135323286071 Mon Jun 30 19:01:50 2025 reading relations for dependency 2 Mon Jun 30 19:01:50 2025 read 5196513 cycles Mon Jun 30 19:01:57 2025 cycles contain 17789140 unique relations Mon Jun 30 19:02:06 2025 read 17789140 relations Mon Jun 30 19:02:47 2025 multiplying 17789140 relations Mon Jun 30 19:03:29 2025 multiply complete, coefficients have about 474.34 million bits Mon Jun 30 19:03:30 2025 initial square root is modulo 324506107 Mon Jun 30 19:05:02 2025 GCD is N, no factor found Mon Jun 30 19:05:02 2025 reading relations for dependency 3 Mon Jun 30 19:05:02 2025 read 5198150 cycles Mon Jun 30 19:05:09 2025 cycles contain 17796722 unique relations Mon Jun 30 19:05:18 2025 read 17796722 relations Mon Jun 30 19:05:59 2025 multiplying 17796722 relations Mon Jun 30 19:06:41 2025 multiply complete, coefficients have about 474.55 million bits Mon Jun 30 19:06:42 2025 initial square root is modulo 327255991 Mon Jun 30 19:08:13 2025 found factor: 8001112444243822960202203445003455086816721040522135323286071 Mon Jun 30 19:08:13 2025 reading relations for dependency 4 Mon Jun 30 19:08:13 2025 read 5195061 cycles Mon Jun 30 19:08:19 2025 cycles contain 17785668 unique relations Mon Jun 30 19:08:28 2025 read 17785668 relations Mon Jun 30 19:09:07 2025 multiplying 17785668 relations Mon Jun 30 19:09:50 2025 multiply complete, coefficients have about 474.25 million bits Mon Jun 30 19:09:51 2025 initial square root is modulo 323303779 Mon Jun 30 19:11:23 2025 sqrtTime: 774 Mon Jun 30 19:11:23 2025 p61 factor: 8001112444243822960202203445003455086816721040522135323286071 Mon Jun 30 19:11:23 2025 p67 factor: 2001973861522894546848392965411292002188794368159586664785336188019 Mon Jun 30 19:11:23 2025 p88 factor: 1766031213884353780862910943964425461058471889190525113213583807914081303837442542269417 Mon Jun 30 19:11:23 2025 elapsed time 00:12:55