Mon Apr 13 13:45:03 2026 Msieve v. 1.54 (SVN 573b9ef) Mon Apr 13 13:45:03 2026 random seeds: 386334ca 70c82f24 Mon Apr 13 13:45:03 2026 Using 32 OpenMP threads Mon Apr 13 13:45:03 2026 factoring 10774736428962543870748330191798069921690374216565275437036192262412118077652380437517134970403697623314013945052685282737442285112968730144194771417295589995323506454313086428423068923050630743066329296110726273157030575208725824777042335614508304390896497201 (260 digits) Mon Apr 13 13:45:04 2026 no P-1/P+1/ECM available, skipping Mon Apr 13 13:45:04 2026 commencing number field sieve (260-digit input) Mon Apr 13 13:45:04 2026 R0: 1 Mon Apr 13 13:45:04 2026 R1: -14861556229427028638445709752451015651064401 Mon Apr 13 13:45:04 2026 A0: -20759 Mon Apr 13 13:45:04 2026 A1: 0 Mon Apr 13 13:45:04 2026 A2: 0 Mon Apr 13 13:45:04 2026 A3: 0 Mon Apr 13 13:45:04 2026 A4: 0 Mon Apr 13 13:45:04 2026 A5: 0 Mon Apr 13 13:45:04 2026 A6: 1 Mon Apr 13 13:45:04 2026 skew 4.05, size 3.832e-13, alpha 0.040, combined = 5.798e-14 rroots = 2 Mon Apr 13 13:45:04 2026 Mon Apr 13 13:45:04 2026 commencing relation filtering Mon Apr 13 13:45:04 2026 setting target matrix density to 110.0 Mon Apr 13 13:45:04 2026 estimated available RAM is 128740.1 MB Mon Apr 13 13:45:04 2026 commencing duplicate removal, pass 1 Mon Apr 13 13:48:42 2026 error -6 reading relation 368260890 Mon Apr 13 13:48:44 2026 skipped 248 relations with b > 2^32 Mon Apr 13 13:48:44 2026 skipped 1 relations with composite factors Mon Apr 13 13:48:44 2026 found 15138437 hash collisions in 370943572 relations Mon Apr 13 13:48:50 2026 added 1219470 free relations Mon Apr 13 13:48:50 2026 commencing duplicate removal, pass 2 Mon Apr 13 13:49:48 2026 found 0 duplicates and 372163042 unique relations Mon Apr 13 13:49:48 2026 memory use: 1108.8 MB Mon Apr 13 13:49:48 2026 reading ideals above 720000 Mon Apr 13 13:49:48 2026 commencing singleton removal, initial pass Mon Apr 13 13:59:33 2026 memory use: 11024.0 MB Mon Apr 13 13:59:33 2026 reading all ideals from disk Mon Apr 13 13:59:35 2026 memory use: 18357.4 MB Mon Apr 13 13:59:51 2026 keeping 335428205 ideals with weight <= 200, target excess is 1914156 Mon Apr 13 14:00:11 2026 commencing in-memory singleton removal Mon Apr 13 14:00:17 2026 begin with 372163042 relations and 335428205 unique ideals Mon Apr 13 14:00:51 2026 reduce to 246094278 relations and 197350326 ideals in 15 passes Mon Apr 13 14:00:51 2026 max relations containing the same ideal: 162 Mon Apr 13 14:01:29 2026 removing 12585351 relations and 10585351 ideals in 2000000 cliques Mon Apr 13 14:01:33 2026 commencing in-memory singleton removal Mon Apr 13 14:01:37 2026 begin with 233508927 relations and 197350326 unique ideals Mon Apr 13 14:01:51 2026 reduce to 233019097 relations and 186269737 ideals in 8 passes Mon Apr 13 14:01:51 2026 max relations containing the same ideal: 157 Mon Apr 13 14:02:28 2026 removing 9543570 relations and 7543570 ideals in 2000000 cliques Mon Apr 13 14:02:32 2026 commencing in-memory singleton removal Mon Apr 13 14:02:35 2026 begin with 223475527 relations and 186269737 unique ideals Mon Apr 13 14:02:47 2026 reduce to 223158439 relations and 178406090 ideals in 7 passes Mon Apr 13 14:02:47 2026 max relations containing the same ideal: 153 Mon Apr 13 14:03:23 2026 removing 8598773 relations and 6598773 ideals in 2000000 cliques Mon Apr 13 14:03:26 2026 commencing in-memory singleton removal Mon Apr 13 14:03:29 2026 begin with 214559666 relations and 178406090 unique ideals Mon Apr 13 14:03:39 2026 reduce to 214285995 relations and 171531154 ideals in 6 passes Mon Apr 13 14:03:39 2026 max relations containing the same ideal: 148 Mon Apr 13 14:04:14 2026 removing 8074544 relations and 6074544 ideals in 2000000 cliques Mon Apr 13 14:04:17 2026 commencing in-memory singleton removal Mon Apr 13 14:04:20 2026 begin with 206211451 relations and 171531154 unique ideals Mon Apr 13 14:04:31 2026 reduce to 205957255 relations and 165200133 ideals in 7 passes Mon Apr 13 14:04:31 2026 max relations containing the same ideal: 142 Mon Apr 13 14:05:04 2026 removing 7743711 relations and 5743711 ideals in 2000000 cliques Mon Apr 13 14:05:07 2026 commencing in-memory singleton removal Mon Apr 13 14:05:10 2026 begin with 198213544 relations and 165200133 unique ideals Mon Apr 13 14:05:21 2026 reduce to 197970999 relations and 159211649 ideals in 7 passes Mon Apr 13 14:05:21 2026 max relations containing the same ideal: 140 Mon Apr 13 14:05:53 2026 removing 7512419 relations and 5512419 ideals in 2000000 cliques Mon Apr 13 14:05:56 2026 commencing in-memory singleton removal Mon Apr 13 14:05:59 2026 begin with 190458580 relations and 159211649 unique ideals Mon Apr 13 14:06:09 2026 reduce to 190222685 relations and 153460997 ideals in 7 passes Mon Apr 13 14:06:09 2026 max relations containing the same ideal: 137 Mon Apr 13 14:06:40 2026 removing 7341822 relations and 5341822 ideals in 2000000 cliques Mon Apr 13 14:06:43 2026 commencing in-memory singleton removal Mon Apr 13 14:06:46 2026 begin with 182880863 relations and 153460997 unique ideals Mon Apr 13 14:06:55 2026 reduce to 182647587 relations and 147883534 ideals in 7 passes Mon Apr 13 14:06:55 2026 max relations containing the same ideal: 133 Mon Apr 13 14:07:25 2026 removing 7214276 relations and 5214276 ideals in 2000000 cliques Mon Apr 13 14:07:28 2026 commencing in-memory singleton removal Mon Apr 13 14:07:30 2026 begin with 175433311 relations and 147883534 unique ideals Mon Apr 13 14:07:40 2026 reduce to 175199819 relations and 142433445 ideals in 7 passes Mon Apr 13 14:07:40 2026 max relations containing the same ideal: 130 Mon Apr 13 14:08:09 2026 removing 7119627 relations and 5119627 ideals in 2000000 cliques Mon Apr 13 14:08:11 2026 commencing in-memory singleton removal Mon Apr 13 14:08:14 2026 begin with 168080192 relations and 142433445 unique ideals Mon Apr 13 14:08:21 2026 reduce to 167844544 relations and 137075687 ideals in 6 passes Mon Apr 13 14:08:21 2026 max relations containing the same ideal: 126 Mon Apr 13 14:08:49 2026 removing 7042985 relations and 5042985 ideals in 2000000 cliques Mon Apr 13 14:08:52 2026 commencing in-memory singleton removal Mon Apr 13 14:08:54 2026 begin with 160801559 relations and 137075687 unique ideals Mon Apr 13 14:09:02 2026 reduce to 160562918 relations and 131791378 ideals in 7 passes Mon Apr 13 14:09:02 2026 max relations containing the same ideal: 123 Mon Apr 13 14:09:29 2026 removing 6994607 relations and 4994607 ideals in 2000000 cliques Mon Apr 13 14:09:32 2026 commencing in-memory singleton removal Mon Apr 13 14:09:34 2026 begin with 153568311 relations and 131791378 unique ideals Mon Apr 13 14:09:42 2026 reduce to 153323565 relations and 126549211 ideals in 7 passes Mon Apr 13 14:09:42 2026 max relations containing the same ideal: 120 Mon Apr 13 14:10:08 2026 removing 6960981 relations and 4960981 ideals in 2000000 cliques Mon Apr 13 14:10:10 2026 commencing in-memory singleton removal Mon Apr 13 14:10:12 2026 begin with 146362584 relations and 126549211 unique ideals Mon Apr 13 14:10:20 2026 reduce to 146110625 relations and 121333251 ideals in 7 passes Mon Apr 13 14:10:20 2026 max relations containing the same ideal: 114 Mon Apr 13 14:10:45 2026 removing 6935973 relations and 4935973 ideals in 2000000 cliques Mon Apr 13 14:10:47 2026 commencing in-memory singleton removal Mon Apr 13 14:10:49 2026 begin with 139174652 relations and 121333251 unique ideals Mon Apr 13 14:10:57 2026 reduce to 138913852 relations and 116133219 ideals in 7 passes Mon Apr 13 14:10:57 2026 max relations containing the same ideal: 111 Mon Apr 13 14:11:21 2026 removing 6928381 relations and 4928381 ideals in 2000000 cliques Mon Apr 13 14:11:23 2026 commencing in-memory singleton removal Mon Apr 13 14:11:25 2026 begin with 131985471 relations and 116133219 unique ideals Mon Apr 13 14:11:31 2026 reduce to 131713037 relations and 110928843 ideals in 6 passes Mon Apr 13 14:11:31 2026 max relations containing the same ideal: 108 Mon Apr 13 14:11:53 2026 removing 6932397 relations and 4932397 ideals in 2000000 cliques Mon Apr 13 14:11:55 2026 commencing in-memory singleton removal Mon Apr 13 14:11:57 2026 begin with 124780640 relations and 110928843 unique ideals Mon Apr 13 14:12:03 2026 reduce to 124493772 relations and 105705645 ideals in 6 passes Mon Apr 13 14:12:03 2026 max relations containing the same ideal: 104 Mon Apr 13 14:12:24 2026 removing 6942751 relations and 4942751 ideals in 2000000 cliques Mon Apr 13 14:12:27 2026 commencing in-memory singleton removal Mon Apr 13 14:12:28 2026 begin with 117551021 relations and 105705645 unique ideals Mon Apr 13 14:12:34 2026 reduce to 117248351 relations and 100455807 ideals in 7 passes Mon Apr 13 14:12:34 2026 max relations containing the same ideal: 100 Mon Apr 13 14:12:55 2026 removing 6970477 relations and 4970477 ideals in 2000000 cliques Mon Apr 13 14:12:57 2026 commencing in-memory singleton removal Mon Apr 13 14:12:58 2026 begin with 110277874 relations and 100455807 unique ideals Mon Apr 13 14:13:03 2026 reduce to 109955989 relations and 95158427 ideals in 6 passes Mon Apr 13 14:13:03 2026 max relations containing the same ideal: 96 Mon Apr 13 14:13:23 2026 removing 7011012 relations and 5011012 ideals in 2000000 cliques Mon Apr 13 14:13:25 2026 commencing in-memory singleton removal Mon Apr 13 14:13:26 2026 begin with 102944977 relations and 95158427 unique ideals Mon Apr 13 14:13:32 2026 reduce to 102600238 relations and 89797075 ideals in 8 passes Mon Apr 13 14:13:32 2026 max relations containing the same ideal: 91 Mon Apr 13 14:13:51 2026 removing 7065155 relations and 5065155 ideals in 2000000 cliques Mon Apr 13 14:13:52 2026 commencing in-memory singleton removal Mon Apr 13 14:13:54 2026 begin with 95535083 relations and 89797075 unique ideals Mon Apr 13 14:13:59 2026 reduce to 95158142 relations and 84348419 ideals in 7 passes Mon Apr 13 14:13:59 2026 max relations containing the same ideal: 87 Mon Apr 13 14:14:16 2026 removing 7134928 relations and 5134928 ideals in 2000000 cliques Mon Apr 13 14:14:18 2026 commencing in-memory singleton removal Mon Apr 13 14:14:19 2026 begin with 88023214 relations and 84348419 unique ideals Mon Apr 13 14:14:23 2026 reduce to 87610802 relations and 78793501 ideals in 7 passes Mon Apr 13 14:14:23 2026 max relations containing the same ideal: 83 Mon Apr 13 14:14:40 2026 removing 7228991 relations and 5228991 ideals in 2000000 cliques Mon Apr 13 14:14:41 2026 commencing in-memory singleton removal Mon Apr 13 14:14:43 2026 begin with 80381811 relations and 78793501 unique ideals Mon Apr 13 14:14:47 2026 reduce to 79920687 relations and 73094263 ideals in 7 passes Mon Apr 13 14:14:47 2026 max relations containing the same ideal: 76 Mon Apr 13 14:15:02 2026 removing 7338387 relations and 5338387 ideals in 2000000 cliques Mon Apr 13 14:15:04 2026 commencing in-memory singleton removal Mon Apr 13 14:15:05 2026 begin with 72582300 relations and 73094263 unique ideals Mon Apr 13 14:15:09 2026 reduce to 72058339 relations and 67220732 ideals in 8 passes Mon Apr 13 14:15:09 2026 max relations containing the same ideal: 71 Mon Apr 13 14:15:23 2026 removing 7474458 relations and 5474458 ideals in 2000000 cliques Mon Apr 13 14:15:24 2026 commencing in-memory singleton removal Mon Apr 13 14:15:25 2026 begin with 64583881 relations and 67220732 unique ideals Mon Apr 13 14:15:29 2026 reduce to 63976477 relations and 61124551 ideals in 8 passes Mon Apr 13 14:15:29 2026 max relations containing the same ideal: 64 Mon Apr 13 14:15:41 2026 removing 3035330 relations and 2403825 ideals in 631505 cliques Mon Apr 13 14:15:42 2026 commencing in-memory singleton removal Mon Apr 13 14:15:43 2026 begin with 60941147 relations and 61124551 unique ideals Mon Apr 13 14:15:46 2026 reduce to 60837560 relations and 58616230 ideals in 7 passes Mon Apr 13 14:15:46 2026 max relations containing the same ideal: 62 Mon Apr 13 14:16:02 2026 relations with 0 large ideals: 67585 Mon Apr 13 14:16:02 2026 relations with 1 large ideals: 48059 Mon Apr 13 14:16:02 2026 relations with 2 large ideals: 600401 Mon Apr 13 14:16:02 2026 relations with 3 large ideals: 3200098 Mon Apr 13 14:16:02 2026 relations with 4 large ideals: 9131249 Mon Apr 13 14:16:02 2026 relations with 5 large ideals: 15337957 Mon Apr 13 14:16:02 2026 relations with 6 large ideals: 15896834 Mon Apr 13 14:16:02 2026 relations with 7+ large ideals: 16555377 Mon Apr 13 14:16:02 2026 commencing 2-way merge Mon Apr 13 14:16:20 2026 reduce to 38600528 relation sets and 36379198 unique ideals Mon Apr 13 14:16:20 2026 commencing full merge Mon Apr 13 14:23:34 2026 memory use: 4685.4 MB Mon Apr 13 14:23:37 2026 found 17951306 cycles, need 17699398 Mon Apr 13 14:23:40 2026 weight of 17699398 cycles is about 1947072600 (110.01/cycle) Mon Apr 13 14:23:40 2026 distribution of cycle lengths: Mon Apr 13 14:23:40 2026 1 relations: 1191025 Mon Apr 13 14:23:40 2026 2 relations: 1320536 Mon Apr 13 14:23:40 2026 3 relations: 1374669 Mon Apr 13 14:23:40 2026 4 relations: 1356896 Mon Apr 13 14:23:40 2026 5 relations: 1352120 Mon Apr 13 14:23:40 2026 6 relations: 1329238 Mon Apr 13 14:23:40 2026 7 relations: 1278331 Mon Apr 13 14:23:40 2026 8 relations: 1219485 Mon Apr 13 14:23:40 2026 9 relations: 1137179 Mon Apr 13 14:23:40 2026 10+ relations: 6139919 Mon Apr 13 14:23:40 2026 heaviest cycle: 27 relations Mon Apr 13 14:23:44 2026 commencing cycle optimization Mon Apr 13 14:24:06 2026 start with 140800130 relations Mon Apr 13 14:26:37 2026 pruned 5489397 relations Mon Apr 13 14:26:37 2026 memory use: 3940.4 MB Mon Apr 13 14:26:37 2026 distribution of cycle lengths: Mon Apr 13 14:26:37 2026 1 relations: 1191025 Mon Apr 13 14:26:37 2026 2 relations: 1349824 Mon Apr 13 14:26:37 2026 3 relations: 1428249 Mon Apr 13 14:26:37 2026 4 relations: 1407725 Mon Apr 13 14:26:37 2026 5 relations: 1412802 Mon Apr 13 14:26:37 2026 6 relations: 1384844 Mon Apr 13 14:26:37 2026 7 relations: 1335723 Mon Apr 13 14:26:37 2026 8 relations: 1268329 Mon Apr 13 14:26:37 2026 9 relations: 1179824 Mon Apr 13 14:26:37 2026 10+ relations: 5741053 Mon Apr 13 14:26:37 2026 heaviest cycle: 27 relations Mon Apr 13 14:26:54 2026 RelProcTime: 2510 Mon Apr 13 14:26:54 2026 elapsed time 00:41:51 Mon Apr 13 15:06:23 2026 Mon Apr 13 15:06:23 2026 Mon Apr 13 15:06:23 2026 Msieve v. 1.54 (SVN 573b9ef) Mon Apr 13 15:06:23 2026 random seeds: 3a703a86 3431ecaf Mon Apr 13 15:06:23 2026 MPI process 0 of 2 Mon Apr 13 15:06:23 2026 Using 8 OpenMP threads Mon Apr 13 15:06:23 2026 factoring 10774736428962543870748330191798069921690374216565275437036192262412118077652380437517134970403697623314013945052685282737442285112968730144194771417295589995323506454313086428423068923050630743066329296110726273157030575208725824777042335614508304390896497201 (260 digits) Mon Apr 13 15:06:24 2026 no P-1/P+1/ECM available, skipping Mon Apr 13 15:06:24 2026 commencing number field sieve (260-digit input) Mon Apr 13 15:06:24 2026 R0: 1 Mon Apr 13 15:06:24 2026 R1: -14861556229427028638445709752451015651064401 Mon Apr 13 15:06:24 2026 A0: -20759 Mon Apr 13 15:06:24 2026 A1: 0 Mon Apr 13 15:06:24 2026 A2: 0 Mon Apr 13 15:06:24 2026 A3: 0 Mon Apr 13 15:06:24 2026 A4: 0 Mon Apr 13 15:06:24 2026 A5: 0 Mon Apr 13 15:06:24 2026 A6: 1 Mon Apr 13 15:06:24 2026 skew 4.05, size 3.832e-13, alpha 0.040, combined = 5.798e-14 rroots = 2 Mon Apr 13 15:06:24 2026 Mon Apr 13 15:06:24 2026 commencing linear algebra Mon Apr 13 15:06:24 2026 using VBITS=256 Mon Apr 13 15:06:24 2026 initialized process (0,0) of 1 x 2 grid Mon Apr 13 15:06:25 2026 read 17699398 cycles Mon Apr 13 15:06:46 2026 cycles contain 59636976 unique relations Mon Apr 13 15:07:34 2026 read 59636976 relations Mon Apr 13 15:07:45 2026 using 20 quadratic characters above 4294917295 Mon Apr 13 15:08:03 2026 building initial matrix Mon Apr 13 15:14:18 2026 memory use: 7783.9 MB Mon Apr 13 15:14:25 2026 read 17699398 cycles Mon Apr 13 15:14:27 2026 matrix is 17699219 x 17699398 (7790.7 MB) with weight 2273191928 (128.43/col) Mon Apr 13 15:14:27 2026 sparse part has weight 1847599858 (104.39/col) Mon Apr 13 15:16:02 2026 filtering completed in 2 passes Mon Apr 13 15:16:04 2026 matrix is 17697334 x 17697505 (7790.5 MB) with weight 2273115804 (128.44/col) Mon Apr 13 15:16:04 2026 sparse part has weight 1847569696 (104.40/col) Mon Apr 13 15:16:29 2026 matrix starts at (0, 0) Mon Apr 13 15:16:30 2026 matrix is 17697334 x 8848770 (3895.3 MB) with weight 1136564288 (128.44/col) Mon Apr 13 15:16:30 2026 sparse part has weight 923784950 (104.40/col) Mon Apr 13 15:16:30 2026 saving the first 240 matrix rows for later Mon Apr 13 15:16:31 2026 matrix includes 256 packed rows Mon Apr 13 15:16:34 2026 matrix is 17697094 x 8848770 (3573.8 MB) with weight 837917467 (94.69/col) Mon Apr 13 15:16:34 2026 sparse part has weight 795273333 (89.87/col) Mon Apr 13 15:16:35 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Mon Apr 13 15:16:35 2026 selected card has CUDA arch 8.6 Mon Apr 13 15:17:03 2026 commencing Lanczos iteration Mon Apr 13 15:17:05 2026 memory use: 9139.2 MB Mon Apr 13 15:17:40 2026 linear algebra at 0.2%, ETA 5h36m Mon Apr 13 15:18:32 2026 checking every 50000 dimensions, checkpointing every 3200000 dimensions Mon Apr 13 20:51:36 2026 lanczos halted after 69337 iterations (dim = 17697094) Mon Apr 13 20:52:11 2026 recovered 35 nontrivial dependencies Mon Apr 13 20:52:11 2026 BLanczosTime: 20747 Mon Apr 13 20:52:11 2026 elapsed time 05:45:48 Mon Apr 13 20:56:33 2026 Mon Apr 13 20:56:33 2026 Mon Apr 13 20:56:33 2026 Msieve v. 1.54 (SVN 573b9ef) Mon Apr 13 20:56:33 2026 random seeds: 3cf0aa25 4b8e4c9e Mon Apr 13 20:56:33 2026 Using 32 OpenMP threads Mon Apr 13 20:56:33 2026 factoring 10774736428962543870748330191798069921690374216565275437036192262412118077652380437517134970403697623314013945052685282737442285112968730144194771417295589995323506454313086428423068923050630743066329296110726273157030575208725824777042335614508304390896497201 (260 digits) Mon Apr 13 20:56:34 2026 no P-1/P+1/ECM available, skipping Mon Apr 13 20:56:34 2026 commencing number field sieve (260-digit input) Mon Apr 13 20:56:34 2026 R0: 1 Mon Apr 13 20:56:34 2026 R1: -14861556229427028638445709752451015651064401 Mon Apr 13 20:56:34 2026 A0: -20759 Mon Apr 13 20:56:34 2026 A1: 0 Mon Apr 13 20:56:34 2026 A2: 0 Mon Apr 13 20:56:34 2026 A3: 0 Mon Apr 13 20:56:34 2026 A4: 0 Mon Apr 13 20:56:34 2026 A5: 0 Mon Apr 13 20:56:34 2026 A6: 1 Mon Apr 13 20:56:34 2026 skew 4.05, size 3.832e-13, alpha 0.040, combined = 5.798e-14 rroots = 2 Mon Apr 13 20:56:34 2026 Mon Apr 13 20:56:34 2026 commencing square root phase Mon Apr 13 20:56:34 2026 reading relations for dependency 1 Mon Apr 13 20:56:35 2026 read 8848022 cycles Mon Apr 13 20:56:45 2026 cycles contain 29819700 unique relations Mon Apr 13 20:57:06 2026 read 29819700 relations Mon Apr 13 20:58:13 2026 multiplying 29819700 relations Mon Apr 13 20:59:48 2026 multiply complete, coefficients have about 813.40 million bits Mon Apr 13 20:59:49 2026 initial square root is modulo 19834519 Mon Apr 13 21:05:40 2026 sqrtTime: 546 Mon Apr 13 21:05:40 2026 p80 factor: 45003060280695070250566695101720265942016081886286285726572603918614471664524679 Mon Apr 13 21:05:40 2026 p180 factor: 239422305100095040673335102563622720310502956454811752093561297838123099501923195489349713971406052416807266835403807270578221651543581310962364077116179994699498592261513629507719 Mon Apr 13 21:05:40 2026 elapsed time 00:09:07