Mon Jun 16 19:37:55 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Mon Jun 16 19:37:55 2025 random seeds: 88dcde36 511e0454 Mon Jun 16 19:37:55 2025 Using 16 OpenMP threads Mon Jun 16 19:37:55 2025 factoring 2560245741857892818199203296051097241227499626481573695539758667831903016203800114689752741238077526119092427742571144317949253234786361051374838637126860565369133 (163 digits) Mon Jun 16 19:37:55 2025 no P-1/P+1/ECM available, skipping Mon Jun 16 19:37:55 2025 commencing number field sieve (163-digit input) Mon Jun 16 19:37:55 2025 R0: -24287410634683987491347536683933 Mon Jun 16 19:37:55 2025 R1: 1586322901972696525303591 Mon Jun 16 19:37:55 2025 A0: 173629763140692926639661281204286116250 Mon Jun 16 19:37:55 2025 A1: 102279711981142743763526946710845 Mon Jun 16 19:37:55 2025 A2: -18458919412372422178093861 Mon Jun 16 19:37:55 2025 A3: -40962735039069647213 Mon Jun 16 19:37:55 2025 A4: 2420011983384 Mon Jun 16 19:37:55 2025 A5: 928620 Mon Jun 16 19:37:55 2025 skew 3985216.66, size 8.661e-16, alpha -7.039, combined = 1.063e-12 rroots = 3 Mon Jun 16 19:37:55 2025 Mon Jun 16 19:37:55 2025 commencing relation filtering Mon Jun 16 19:37:55 2025 setting target matrix density to 105.0 Mon Jun 16 19:37:55 2025 estimated available RAM is 128734.6 MB Mon Jun 16 19:37:55 2025 commencing duplicate removal, pass 1 Mon Jun 16 19:39:25 2025 found 8906351 hash collisions in 201672071 relations Mon Jun 16 19:39:38 2025 added 121787 free relations Mon Jun 16 19:39:38 2025 commencing duplicate removal, pass 2 Mon Jun 16 19:40:13 2025 found 0 duplicates and 201793858 unique relations Mon Jun 16 19:40:13 2025 memory use: 554.4 MB Mon Jun 16 19:40:13 2025 reading ideals above 720000 Mon Jun 16 19:40:13 2025 commencing singleton removal, initial pass Mon Jun 16 19:45:05 2025 memory use: 5512.0 MB Mon Jun 16 19:45:05 2025 reading all ideals from disk Mon Jun 16 19:45:06 2025 memory use: 9139.3 MB Mon Jun 16 19:45:13 2025 keeping 163408900 ideals with weight <= 200, target excess is 982769 Mon Jun 16 19:45:23 2025 commencing in-memory singleton removal Mon Jun 16 19:45:25 2025 begin with 201793858 relations and 163408900 unique ideals Mon Jun 16 19:45:38 2025 reduce to 160443111 relations and 120314744 ideals in 11 passes Mon Jun 16 19:45:38 2025 max relations containing the same ideal: 181 Mon Jun 16 19:46:03 2025 removing 10427984 relations and 8427984 ideals in 2000000 cliques Mon Jun 16 19:46:06 2025 commencing in-memory singleton removal Mon Jun 16 19:46:08 2025 begin with 150015127 relations and 120314744 unique ideals Mon Jun 16 19:46:16 2025 reduce to 149515773 relations and 111379456 ideals in 8 passes Mon Jun 16 19:46:16 2025 max relations containing the same ideal: 173 Mon Jun 16 19:46:39 2025 removing 7968964 relations and 5968964 ideals in 2000000 cliques Mon Jun 16 19:46:42 2025 commencing in-memory singleton removal Mon Jun 16 19:46:44 2025 begin with 141546809 relations and 111379456 unique ideals Mon Jun 16 19:46:50 2025 reduce to 141209520 relations and 105068328 ideals in 7 passes Mon Jun 16 19:46:50 2025 max relations containing the same ideal: 167 Mon Jun 16 19:47:12 2025 removing 7244974 relations and 5244974 ideals in 2000000 cliques Mon Jun 16 19:47:14 2025 commencing in-memory singleton removal Mon Jun 16 19:47:16 2025 begin with 133964546 relations and 105068328 unique ideals Mon Jun 16 19:47:22 2025 reduce to 133669764 relations and 99524343 ideals in 7 passes Mon Jun 16 19:47:22 2025 max relations containing the same ideal: 162 Mon Jun 16 19:47:43 2025 removing 6863587 relations and 4863587 ideals in 2000000 cliques Mon Jun 16 19:47:45 2025 commencing in-memory singleton removal Mon Jun 16 19:47:46 2025 begin with 126806177 relations and 99524343 unique ideals Mon Jun 16 19:47:52 2025 reduce to 126531145 relations and 94381733 ideals in 7 passes Mon Jun 16 19:47:52 2025 max relations containing the same ideal: 154 Mon Jun 16 19:48:12 2025 removing 6624335 relations and 4624335 ideals in 2000000 cliques Mon Jun 16 19:48:14 2025 commencing in-memory singleton removal Mon Jun 16 19:48:16 2025 begin with 119906810 relations and 94381733 unique ideals Mon Jun 16 19:48:21 2025 reduce to 119643148 relations and 89489845 ideals in 7 passes Mon Jun 16 19:48:21 2025 max relations containing the same ideal: 151 Mon Jun 16 19:48:40 2025 removing 6452465 relations and 4452465 ideals in 2000000 cliques Mon Jun 16 19:48:42 2025 commencing in-memory singleton removal Mon Jun 16 19:48:43 2025 begin with 113190683 relations and 89489845 unique ideals Mon Jun 16 19:48:47 2025 reduce to 112930194 relations and 84772737 ideals in 6 passes Mon Jun 16 19:48:47 2025 max relations containing the same ideal: 146 Mon Jun 16 19:49:06 2025 removing 6330543 relations and 4330543 ideals in 2000000 cliques Mon Jun 16 19:49:08 2025 commencing in-memory singleton removal Mon Jun 16 19:49:09 2025 begin with 106599651 relations and 84772737 unique ideals Mon Jun 16 19:49:13 2025 reduce to 106339453 relations and 80177590 ideals in 7 passes Mon Jun 16 19:49:13 2025 max relations containing the same ideal: 143 Mon Jun 16 19:49:31 2025 removing 6236798 relations and 4236798 ideals in 2000000 cliques Mon Jun 16 19:49:32 2025 commencing in-memory singleton removal Mon Jun 16 19:49:34 2025 begin with 100102655 relations and 80177590 unique ideals Mon Jun 16 19:49:37 2025 reduce to 99839605 relations and 75673074 ideals in 6 passes Mon Jun 16 19:49:37 2025 max relations containing the same ideal: 137 Mon Jun 16 19:49:54 2025 removing 6166342 relations and 4166342 ideals in 2000000 cliques Mon Jun 16 19:49:56 2025 commencing in-memory singleton removal Mon Jun 16 19:49:57 2025 begin with 93673263 relations and 75673074 unique ideals Mon Jun 16 19:50:00 2025 reduce to 93402042 relations and 71230330 ideals in 6 passes Mon Jun 16 19:50:00 2025 max relations containing the same ideal: 130 Mon Jun 16 19:50:16 2025 removing 6115494 relations and 4115494 ideals in 2000000 cliques Mon Jun 16 19:50:17 2025 commencing in-memory singleton removal Mon Jun 16 19:50:18 2025 begin with 87286548 relations and 71230330 unique ideals Mon Jun 16 19:50:22 2025 reduce to 87005837 relations and 66828440 ideals in 7 passes Mon Jun 16 19:50:22 2025 max relations containing the same ideal: 122 Mon Jun 16 19:50:37 2025 removing 6084516 relations and 4084516 ideals in 2000000 cliques Mon Jun 16 19:50:38 2025 commencing in-memory singleton removal Mon Jun 16 19:50:39 2025 begin with 80921321 relations and 66828440 unique ideals Mon Jun 16 19:50:43 2025 reduce to 80626728 relations and 62443106 ideals in 7 passes Mon Jun 16 19:50:43 2025 max relations containing the same ideal: 114 Mon Jun 16 19:50:56 2025 removing 6064693 relations and 4064693 ideals in 2000000 cliques Mon Jun 16 19:50:58 2025 commencing in-memory singleton removal Mon Jun 16 19:50:59 2025 begin with 74562035 relations and 62443106 unique ideals Mon Jun 16 19:51:02 2025 reduce to 74247528 relations and 58056878 ideals in 7 passes Mon Jun 16 19:51:02 2025 max relations containing the same ideal: 111 Mon Jun 16 19:51:15 2025 removing 6058172 relations and 4058172 ideals in 2000000 cliques Mon Jun 16 19:51:16 2025 commencing in-memory singleton removal Mon Jun 16 19:51:17 2025 begin with 68189356 relations and 58056878 unique ideals Mon Jun 16 19:51:19 2025 reduce to 67851142 relations and 53652229 ideals in 6 passes Mon Jun 16 19:51:19 2025 max relations containing the same ideal: 101 Mon Jun 16 19:51:31 2025 removing 6070439 relations and 4070439 ideals in 2000000 cliques Mon Jun 16 19:51:33 2025 commencing in-memory singleton removal Mon Jun 16 19:51:34 2025 begin with 61780703 relations and 53652229 unique ideals Mon Jun 16 19:51:36 2025 reduce to 61410568 relations and 49201817 ideals in 7 passes Mon Jun 16 19:51:36 2025 max relations containing the same ideal: 94 Mon Jun 16 19:51:47 2025 removing 6097271 relations and 4097271 ideals in 2000000 cliques Mon Jun 16 19:51:48 2025 commencing in-memory singleton removal Mon Jun 16 19:51:49 2025 begin with 55313297 relations and 49201817 unique ideals Mon Jun 16 19:51:51 2025 reduce to 54902168 relations and 44681645 ideals in 7 passes Mon Jun 16 19:51:51 2025 max relations containing the same ideal: 88 Mon Jun 16 19:52:01 2025 removing 6146462 relations and 4146462 ideals in 2000000 cliques Mon Jun 16 19:52:02 2025 commencing in-memory singleton removal Mon Jun 16 19:52:03 2025 begin with 48755706 relations and 44681645 unique ideals Mon Jun 16 19:52:05 2025 reduce to 48287216 relations and 40052061 ideals in 8 passes Mon Jun 16 19:52:05 2025 max relations containing the same ideal: 82 Mon Jun 16 19:52:14 2025 removing 6216582 relations and 4216582 ideals in 2000000 cliques Mon Jun 16 19:52:15 2025 commencing in-memory singleton removal Mon Jun 16 19:52:16 2025 begin with 42070634 relations and 40052061 unique ideals Mon Jun 16 19:52:17 2025 reduce to 41519863 relations and 35265068 ideals in 8 passes Mon Jun 16 19:52:17 2025 max relations containing the same ideal: 77 Mon Jun 16 19:52:25 2025 removing 6315970 relations and 4315970 ideals in 2000000 cliques Mon Jun 16 19:52:27 2025 commencing in-memory singleton removal Mon Jun 16 19:52:27 2025 begin with 35203893 relations and 35265068 unique ideals Mon Jun 16 19:52:28 2025 reduce to 34535575 relations and 30253007 ideals in 8 passes Mon Jun 16 19:52:28 2025 max relations containing the same ideal: 69 Mon Jun 16 19:52:35 2025 removing 6455383 relations and 4455383 ideals in 2000000 cliques Mon Jun 16 19:52:37 2025 commencing in-memory singleton removal Mon Jun 16 19:52:37 2025 begin with 28080192 relations and 30253007 unique ideals Mon Jun 16 19:52:38 2025 reduce to 27219176 relations and 24893782 ideals in 9 passes Mon Jun 16 19:52:38 2025 max relations containing the same ideal: 61 Mon Jun 16 19:52:44 2025 removing 4383946 relations and 3198565 ideals in 1185381 cliques Mon Jun 16 19:52:45 2025 commencing in-memory singleton removal Mon Jun 16 19:52:45 2025 begin with 22835230 relations and 24893782 unique ideals Mon Jun 16 19:52:46 2025 reduce to 22304474 relations and 21143823 ideals in 8 passes Mon Jun 16 19:52:46 2025 max relations containing the same ideal: 55 Mon Jun 16 19:52:50 2025 removing 156579 relations and 135941 ideals in 20638 cliques Mon Jun 16 19:52:51 2025 commencing in-memory singleton removal Mon Jun 16 19:52:51 2025 begin with 22147895 relations and 21143823 unique ideals Mon Jun 16 19:52:51 2025 reduce to 22147272 relations and 21007258 ideals in 4 passes Mon Jun 16 19:52:51 2025 max relations containing the same ideal: 55 Mon Jun 16 19:52:53 2025 relations with 0 large ideals: 3513 Mon Jun 16 19:52:53 2025 relations with 1 large ideals: 38889 Mon Jun 16 19:52:53 2025 relations with 2 large ideals: 454186 Mon Jun 16 19:52:53 2025 relations with 3 large ideals: 2066772 Mon Jun 16 19:52:53 2025 relations with 4 large ideals: 4830279 Mon Jun 16 19:52:53 2025 relations with 5 large ideals: 6417676 Mon Jun 16 19:52:53 2025 relations with 6 large ideals: 5109270 Mon Jun 16 19:52:53 2025 relations with 7+ large ideals: 3226687 Mon Jun 16 19:52:53 2025 commencing 2-way merge Mon Jun 16 19:52:59 2025 reduce to 13398359 relation sets and 12258344 unique ideals Mon Jun 16 19:52:59 2025 commencing full merge Mon Jun 16 19:55:01 2025 memory use: 1525.1 MB Mon Jun 16 19:55:02 2025 found 6332097 cycles, need 6194544 Mon Jun 16 19:55:03 2025 weight of 6194544 cycles is about 651012121 (105.09/cycle) Mon Jun 16 19:55:03 2025 distribution of cycle lengths: Mon Jun 16 19:55:03 2025 1 relations: 394681 Mon Jun 16 19:55:03 2025 2 relations: 455042 Mon Jun 16 19:55:03 2025 3 relations: 486876 Mon Jun 16 19:55:03 2025 4 relations: 491019 Mon Jun 16 19:55:03 2025 5 relations: 501025 Mon Jun 16 19:55:03 2025 6 relations: 497962 Mon Jun 16 19:55:03 2025 7 relations: 480238 Mon Jun 16 19:55:03 2025 8 relations: 453416 Mon Jun 16 19:55:03 2025 9 relations: 417557 Mon Jun 16 19:55:03 2025 10+ relations: 2016728 Mon Jun 16 19:55:03 2025 heaviest cycle: 23 relations Mon Jun 16 19:55:05 2025 commencing cycle optimization Mon Jun 16 19:55:11 2025 start with 47788735 relations Mon Jun 16 19:55:57 2025 pruned 1808849 relations Mon Jun 16 19:55:58 2025 memory use: 1387.4 MB Mon Jun 16 19:55:58 2025 distribution of cycle lengths: Mon Jun 16 19:55:58 2025 1 relations: 394681 Mon Jun 16 19:55:58 2025 2 relations: 465977 Mon Jun 16 19:55:58 2025 3 relations: 506447 Mon Jun 16 19:55:58 2025 4 relations: 509441 Mon Jun 16 19:55:58 2025 5 relations: 524114 Mon Jun 16 19:55:58 2025 6 relations: 518666 Mon Jun 16 19:55:58 2025 7 relations: 501924 Mon Jun 16 19:55:58 2025 8 relations: 472806 Mon Jun 16 19:55:58 2025 9 relations: 432430 Mon Jun 16 19:55:58 2025 10+ relations: 1868058 Mon Jun 16 19:55:58 2025 heaviest cycle: 23 relations Mon Jun 16 19:56:03 2025 RelProcTime: 1088 Mon Jun 16 19:56:03 2025 elapsed time 00:18:08 Mon Jun 16 20:00:43 2025 Mon Jun 16 20:00:43 2025 Mon Jun 16 20:00:43 2025 Msieve v. 1.54 (SVN 66ed352) Mon Jun 16 20:00:43 2025 random seeds: 8aaa7f61 63475205 Mon Jun 16 20:00:43 2025 MPI process 0 of 2 Mon Jun 16 20:00:43 2025 Using 8 OpenMP threads Mon Jun 16 20:00:43 2025 factoring 2560245741857892818199203296051097241227499626481573695539758667831903016203800114689752741238077526119092427742571144317949253234786361051374838637126860565369133 (163 digits) Mon Jun 16 20:00:43 2025 no P-1/P+1/ECM available, skipping Mon Jun 16 20:00:43 2025 commencing number field sieve (163-digit input) Mon Jun 16 20:00:43 2025 R0: -24287410634683987491347536683933 Mon Jun 16 20:00:43 2025 R1: 1586322901972696525303591 Mon Jun 16 20:00:43 2025 A0: 173629763140692926639661281204286116250 Mon Jun 16 20:00:43 2025 A1: 102279711981142743763526946710845 Mon Jun 16 20:00:43 2025 A2: -18458919412372422178093861 Mon Jun 16 20:00:43 2025 A3: -40962735039069647213 Mon Jun 16 20:00:43 2025 A4: 2420011983384 Mon Jun 16 20:00:43 2025 A5: 928620 Mon Jun 16 20:00:43 2025 skew 3985216.66, size 8.661e-16, alpha -7.039, combined = 1.063e-12 rroots = 3 Mon Jun 16 20:00:43 2025 Mon Jun 16 20:00:43 2025 commencing linear algebra Mon Jun 16 20:00:43 2025 using VBITS=256 Mon Jun 16 20:00:43 2025 initialized process (0,0) of 1 x 2 grid Mon Jun 16 20:00:44 2025 read 6194544 cycles Mon Jun 16 20:00:50 2025 cycles contain 21458655 unique relations Mon Jun 16 20:01:04 2025 read 21458655 relations Mon Jun 16 20:01:07 2025 using 20 quadratic characters above 4294917295 Mon Jun 16 20:01:13 2025 building initial matrix Mon Jun 16 20:03:25 2025 memory use: 2891.4 MB Mon Jun 16 20:03:27 2025 read 6194544 cycles Mon Jun 16 20:03:28 2025 matrix is 6194365 x 6194544 (2616.0 MB) with weight 798665844 (128.93/col) Mon Jun 16 20:03:28 2025 sparse part has weight 611425767 (98.70/col) Mon Jun 16 20:03:57 2025 filtering completed in 2 passes Mon Jun 16 20:03:58 2025 matrix is 6193044 x 6193222 (2615.8 MB) with weight 798592896 (128.95/col) Mon Jun 16 20:03:58 2025 sparse part has weight 611394113 (98.72/col) Mon Jun 16 20:04:08 2025 matrix starts at (0, 0) Mon Jun 16 20:04:08 2025 matrix is 6193044 x 3096587 (1307.9 MB) with weight 399295346 (128.95/col) Mon Jun 16 20:04:08 2025 sparse part has weight 305697164 (98.72/col) Mon Jun 16 20:04:08 2025 saving the first 240 matrix rows for later Mon Jun 16 20:04:09 2025 matrix includes 256 packed rows Mon Jun 16 20:04:10 2025 matrix is 6192804 x 3096587 (1181.1 MB) with weight 278528095 (89.95/col) Mon Jun 16 20:04:10 2025 sparse part has weight 260083904 (83.99/col) Mon Jun 16 20:04:10 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Mon Jun 16 20:04:10 2025 selected card has CUDA arch 8.6 Mon Jun 16 20:04:19 2025 commencing Lanczos iteration Mon Jun 16 20:04:19 2025 memory use: 3059.2 MB Mon Jun 16 20:04:29 2025 linear algebra at 0.5%, ETA 0h30m Mon Jun 16 20:04:44 2025 checking every 190000 dimensions, checkpointing every 11590000 dimensions Mon Jun 16 20:36:24 2025 lanczos halted after 24265 iterations (dim = 6192803) Mon Jun 16 20:37:26 2025 recovered 31 nontrivial dependencies Mon Jun 16 20:37:27 2025 BLanczosTime: 2204 Mon Jun 16 20:37:27 2025 elapsed time 00:36:44 Mon Jun 16 21:00:28 2025 Mon Jun 16 21:00:28 2025 Mon Jun 16 21:00:28 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis) Mon Jun 16 21:00:28 2025 random seeds: 26956de3 2ef09bf1 Mon Jun 16 21:00:28 2025 Using 16 OpenMP threads Mon Jun 16 21:00:28 2025 factoring 2560245741857892818199203296051097241227499626481573695539758667831903016203800114689752741238077526119092427742571144317949253234786361051374838637126860565369133 (163 digits) Mon Jun 16 21:00:28 2025 no P-1/P+1/ECM available, skipping Mon Jun 16 21:00:28 2025 commencing number field sieve (163-digit input) Mon Jun 16 21:00:28 2025 R0: -24287410634683987491347536683933 Mon Jun 16 21:00:28 2025 R1: 1586322901972696525303591 Mon Jun 16 21:00:28 2025 A0: 173629763140692926639661281204286116250 Mon Jun 16 21:00:28 2025 A1: 102279711981142743763526946710845 Mon Jun 16 21:00:28 2025 A2: -18458919412372422178093861 Mon Jun 16 21:00:28 2025 A3: -40962735039069647213 Mon Jun 16 21:00:28 2025 A4: 2420011983384 Mon Jun 16 21:00:28 2025 A5: 928620 Mon Jun 16 21:00:28 2025 skew 3985216.66, size 8.661e-16, alpha -7.039, combined = 1.063e-12 rroots = 3 Mon Jun 16 21:00:28 2025 Mon Jun 16 21:00:28 2025 commencing square root phase Mon Jun 16 21:00:28 2025 reading relations for dependency 1 Mon Jun 16 21:00:29 2025 read 3095872 cycles Mon Jun 16 21:00:40 2025 cycles contain 10721860 unique relations Mon Jun 16 21:01:22 2025 read 10721860 relations Mon Jun 16 21:02:35 2025 multiplying 10721860 relations Mon Jun 16 21:04:29 2025 multiply complete, coefficients have about 595.09 million bits Mon Jun 16 21:04:32 2025 initial square root is modulo 218249 Mon Jun 16 21:09:53 2025 GCD is 1, no factor found Mon Jun 16 21:09:53 2025 reading relations for dependency 2 Mon Jun 16 21:09:53 2025 read 3095246 cycles Mon Jun 16 21:10:04 2025 cycles contain 10727422 unique relations Mon Jun 16 21:10:44 2025 read 10727422 relations Mon Jun 16 21:12:04 2025 multiplying 10727422 relations Mon Jun 16 21:13:55 2025 multiply complete, coefficients have about 595.40 million bits Mon Jun 16 21:13:58 2025 initial square root is modulo 219629 Mon Jun 16 21:19:21 2025 GCD is 1, no factor found Mon Jun 16 21:19:21 2025 reading relations for dependency 3 Mon Jun 16 21:19:21 2025 read 3096753 cycles Mon Jun 16 21:19:33 2025 cycles contain 10727232 unique relations Mon Jun 16 21:20:13 2025 read 10727232 relations Mon Jun 16 21:21:28 2025 multiplying 10727232 relations Mon Jun 16 21:23:19 2025 multiply complete, coefficients have about 595.39 million bits Mon Jun 16 21:23:23 2025 initial square root is modulo 219613 Mon Jun 16 21:28:46 2025 sqrtTime: 1698 Mon Jun 16 21:28:46 2025 p74 factor: 17111107809785961068195587270936798303584181417718710119056121749459097881 Mon Jun 16 21:28:46 2025 p90 factor: 149624780015334281637324081995134087621661810063684404583323377811945260491016468848490293 Mon Jun 16 21:28:46 2025 elapsed time 00:28:18