Mon Jan 5 17:22:41 2026 Msieve v. 1.54 (SVN 573b9ef) Mon Jan 5 17:22:41 2026 random seeds: f5312654 bd811d16 Mon Jan 5 17:22:41 2026 Using 32 OpenMP threads Mon Jan 5 17:22:41 2026 factoring 81167197035703487540694713704755334808417419907212146167658654787865631303144610515518417629778149407627653842165450672479912450109416910186690825325545907933534059322291353525573546897 (185 digits) Mon Jan 5 17:22:42 2026 no P-1/P+1/ECM available, skipping Mon Jan 5 17:22:42 2026 commencing number field sieve (185-digit input) Mon Jan 5 17:22:42 2026 R0: 1 Mon Jan 5 17:22:42 2026 R1: -17394801666514410491814835158424665481 Mon Jan 5 17:22:42 2026 A0: -1609669 Mon Jan 5 17:22:42 2026 A1: 0 Mon Jan 5 17:22:42 2026 A2: 0 Mon Jan 5 17:22:42 2026 A3: 0 Mon Jan 5 17:22:42 2026 A4: 0 Mon Jan 5 17:22:42 2026 A5: 0 Mon Jan 5 17:22:42 2026 A6: 1 Mon Jan 5 17:22:42 2026 skew 8.50, size 8.886e-12, alpha 0.158, combined = 6.034e-13 rroots = 2 Mon Jan 5 17:22:42 2026 Mon Jan 5 17:22:42 2026 commencing relation filtering Mon Jan 5 17:22:42 2026 setting target matrix density to 130.0 Mon Jan 5 17:22:42 2026 estimated available RAM is 128740.1 MB Mon Jan 5 17:22:42 2026 commencing duplicate removal, pass 1 Mon Jan 5 17:23:04 2026 error -15 reading relation 51265722 Mon Jan 5 17:23:04 2026 error -11 reading relation 51266683 Mon Jan 5 17:23:04 2026 error -15 reading relation 51266990 Mon Jan 5 17:23:04 2026 error -11 reading relation 51267902 Mon Jan 5 17:23:04 2026 error -6 reading relation 51268477 Mon Jan 5 17:23:04 2026 error -6 reading relation 51268530 Mon Jan 5 17:23:04 2026 error -11 reading relation 51268633 Mon Jan 5 17:23:04 2026 error -15 reading relation 51269875 Mon Jan 5 17:23:04 2026 error -15 reading relation 51270111 Mon Jan 5 17:23:04 2026 error -15 reading relation 51270187 Mon Jan 5 17:23:04 2026 error -15 reading relation 51270425 Mon Jan 5 17:23:04 2026 error -15 reading relation 51270921 Mon Jan 5 17:23:04 2026 error -11 reading relation 51271452 Mon Jan 5 17:23:04 2026 error -15 reading relation 51271611 Mon Jan 5 17:23:04 2026 error -15 reading relation 51272121 Mon Jan 5 17:23:04 2026 error -11 reading relation 51272291 Mon Jan 5 17:23:04 2026 error -11 reading relation 51273137 Mon Jan 5 17:23:04 2026 error -15 reading relation 51274381 Mon Jan 5 17:23:04 2026 error -11 reading relation 51274539 Mon Jan 5 17:23:04 2026 error -6 reading relation 51274750 Mon Jan 5 17:23:04 2026 error -11 reading relation 51275934 Mon Jan 5 17:23:04 2026 error -15 reading relation 51276318 Mon Jan 5 17:23:04 2026 error -15 reading relation 51276500 Mon Jan 5 17:23:04 2026 error -15 reading relation 51276574 Mon Jan 5 17:23:04 2026 error -15 reading relation 51278090 Mon Jan 5 17:23:04 2026 error -15 reading relation 51278193 Mon Jan 5 17:23:04 2026 error -1 reading relation 51278875 Mon Jan 5 17:23:04 2026 error -11 reading relation 51278901 Mon Jan 5 17:23:04 2026 error -11 reading relation 51279410 Mon Jan 5 17:23:04 2026 error -11 reading relation 51279708 Mon Jan 5 17:23:04 2026 error -15 reading relation 51279923 Mon Jan 5 17:23:04 2026 error -15 reading relation 51279976 Mon Jan 5 17:23:04 2026 error -11 reading relation 51280144 Mon Jan 5 17:23:04 2026 error -11 reading relation 51280197 Mon Jan 5 17:23:04 2026 error -15 reading relation 51280406 Mon Jan 5 17:23:04 2026 error -15 reading relation 51280557 Mon Jan 5 17:23:04 2026 error -15 reading relation 51281151 Mon Jan 5 17:23:04 2026 error -15 reading relation 51281617 Mon Jan 5 17:23:04 2026 error -1 reading relation 51281719 Mon Jan 5 17:23:04 2026 error -15 reading relation 51282072 Mon Jan 5 17:23:04 2026 error -11 reading relation 51282370 Mon Jan 5 17:23:04 2026 error -11 reading relation 51282609 Mon Jan 5 17:23:04 2026 error -15 reading relation 51282918 Mon Jan 5 17:23:04 2026 error -11 reading relation 51284238 Mon Jan 5 17:23:04 2026 error -11 reading relation 51284662 Mon Jan 5 17:23:04 2026 error -11 reading relation 51285549 Mon Jan 5 17:23:04 2026 error -11 reading relation 51286446 Mon Jan 5 17:24:23 2026 skipped 1 relations with b > 2^32 Mon Jan 5 17:24:23 2026 found 11411170 hash collisions in 229239095 relations Mon Jan 5 17:24:29 2026 added 1219307 free relations Mon Jan 5 17:24:29 2026 commencing duplicate removal, pass 2 Mon Jan 5 17:25:04 2026 found 0 duplicates and 230458402 unique relations Mon Jan 5 17:25:04 2026 memory use: 788.8 MB Mon Jan 5 17:25:04 2026 reading ideals above 720000 Mon Jan 5 17:25:04 2026 commencing singleton removal, initial pass Mon Jan 5 17:30:42 2026 memory use: 5512.0 MB Mon Jan 5 17:30:42 2026 reading all ideals from disk Mon Jan 5 17:30:44 2026 memory use: 10670.2 MB Mon Jan 5 17:30:53 2026 keeping 198570763 ideals with weight <= 200, target excess is 1111847 Mon Jan 5 17:31:05 2026 commencing in-memory singleton removal Mon Jan 5 17:31:08 2026 begin with 230458402 relations and 198570763 unique ideals Mon Jan 5 17:31:27 2026 reduce to 162809187 relations and 126862552 ideals in 14 passes Mon Jan 5 17:31:27 2026 max relations containing the same ideal: 170 Mon Jan 5 17:31:53 2026 removing 11575106 relations and 9575106 ideals in 2000000 cliques Mon Jan 5 17:31:56 2026 commencing in-memory singleton removal Mon Jan 5 17:31:58 2026 begin with 151234081 relations and 126862552 unique ideals Mon Jan 5 17:32:07 2026 reduce to 150584881 relations and 116627510 ideals in 8 passes Mon Jan 5 17:32:07 2026 max relations containing the same ideal: 167 Mon Jan 5 17:32:31 2026 removing 8738116 relations and 6738116 ideals in 2000000 cliques Mon Jan 5 17:32:34 2026 commencing in-memory singleton removal Mon Jan 5 17:32:36 2026 begin with 141846765 relations and 116627510 unique ideals Mon Jan 5 17:32:43 2026 reduce to 141427971 relations and 109464572 ideals in 7 passes Mon Jan 5 17:32:43 2026 max relations containing the same ideal: 158 Mon Jan 5 17:33:06 2026 removing 7877395 relations and 5877395 ideals in 2000000 cliques Mon Jan 5 17:33:08 2026 commencing in-memory singleton removal Mon Jan 5 17:33:10 2026 begin with 133550576 relations and 109464572 unique ideals Mon Jan 5 17:33:16 2026 reduce to 133188154 relations and 103219640 ideals in 7 passes Mon Jan 5 17:33:16 2026 max relations containing the same ideal: 151 Mon Jan 5 17:33:38 2026 removing 7423333 relations and 5423333 ideals in 2000000 cliques Mon Jan 5 17:33:41 2026 commencing in-memory singleton removal Mon Jan 5 17:33:42 2026 begin with 125764821 relations and 103219640 unique ideals Mon Jan 5 17:33:49 2026 reduce to 125429752 relations and 97456486 ideals in 8 passes Mon Jan 5 17:33:49 2026 max relations containing the same ideal: 143 Mon Jan 5 17:34:10 2026 removing 7134376 relations and 5134376 ideals in 2000000 cliques Mon Jan 5 17:34:12 2026 commencing in-memory singleton removal Mon Jan 5 17:34:14 2026 begin with 118295376 relations and 97456486 unique ideals Mon Jan 5 17:34:19 2026 reduce to 117973708 relations and 91995601 ideals in 6 passes Mon Jan 5 17:34:19 2026 max relations containing the same ideal: 137 Mon Jan 5 17:34:39 2026 removing 6930816 relations and 4930816 ideals in 2000000 cliques Mon Jan 5 17:34:41 2026 commencing in-memory singleton removal Mon Jan 5 17:34:42 2026 begin with 111042892 relations and 91995601 unique ideals Mon Jan 5 17:34:48 2026 reduce to 110728085 relations and 86744975 ideals in 7 passes Mon Jan 5 17:34:48 2026 max relations containing the same ideal: 132 Mon Jan 5 17:35:06 2026 removing 6787663 relations and 4787663 ideals in 2000000 cliques Mon Jan 5 17:35:08 2026 commencing in-memory singleton removal Mon Jan 5 17:35:09 2026 begin with 103940422 relations and 86744975 unique ideals Mon Jan 5 17:35:14 2026 reduce to 103624870 relations and 81636417 ideals in 6 passes Mon Jan 5 17:35:14 2026 max relations containing the same ideal: 127 Mon Jan 5 17:35:31 2026 removing 6680498 relations and 4680498 ideals in 2000000 cliques Mon Jan 5 17:35:33 2026 commencing in-memory singleton removal Mon Jan 5 17:35:34 2026 begin with 96944372 relations and 81636417 unique ideals Mon Jan 5 17:35:39 2026 reduce to 96623146 relations and 76629065 ideals in 7 passes Mon Jan 5 17:35:39 2026 max relations containing the same ideal: 125 Mon Jan 5 17:35:55 2026 removing 6601860 relations and 4601860 ideals in 2000000 cliques Mon Jan 5 17:35:57 2026 commencing in-memory singleton removal Mon Jan 5 17:35:58 2026 begin with 90021286 relations and 76629065 unique ideals Mon Jan 5 17:36:03 2026 reduce to 89689845 relations and 71689585 ideals in 8 passes Mon Jan 5 17:36:03 2026 max relations containing the same ideal: 117 Mon Jan 5 17:36:19 2026 removing 6544515 relations and 4544515 ideals in 2000000 cliques Mon Jan 5 17:36:20 2026 commencing in-memory singleton removal Mon Jan 5 17:36:21 2026 begin with 83145330 relations and 71689585 unique ideals Mon Jan 5 17:36:26 2026 reduce to 82799121 relations and 66792002 ideals in 8 passes Mon Jan 5 17:36:26 2026 max relations containing the same ideal: 110 Mon Jan 5 17:36:41 2026 removing 6512514 relations and 4512514 ideals in 2000000 cliques Mon Jan 5 17:36:42 2026 commencing in-memory singleton removal Mon Jan 5 17:36:43 2026 begin with 76286607 relations and 66792002 unique ideals Mon Jan 5 17:36:47 2026 reduce to 75921403 relations and 61906348 ideals in 7 passes Mon Jan 5 17:36:47 2026 max relations containing the same ideal: 103 Mon Jan 5 17:37:00 2026 removing 6493967 relations and 4493967 ideals in 2000000 cliques Mon Jan 5 17:37:02 2026 commencing in-memory singleton removal Mon Jan 5 17:37:03 2026 begin with 69427436 relations and 61906348 unique ideals Mon Jan 5 17:37:06 2026 reduce to 69032384 relations and 57007983 ideals in 7 passes Mon Jan 5 17:37:06 2026 max relations containing the same ideal: 95 Mon Jan 5 17:37:18 2026 removing 6499290 relations and 4499290 ideals in 2000000 cliques Mon Jan 5 17:37:20 2026 commencing in-memory singleton removal Mon Jan 5 17:37:21 2026 begin with 62533094 relations and 57007983 unique ideals Mon Jan 5 17:37:24 2026 reduce to 62103460 relations and 52068258 ideals in 8 passes Mon Jan 5 17:37:24 2026 max relations containing the same ideal: 88 Mon Jan 5 17:37:35 2026 removing 6519529 relations and 4519529 ideals in 2000000 cliques Mon Jan 5 17:37:37 2026 commencing in-memory singleton removal Mon Jan 5 17:37:37 2026 begin with 55583931 relations and 52068258 unique ideals Mon Jan 5 17:37:40 2026 reduce to 55105006 relations and 47056408 ideals in 7 passes Mon Jan 5 17:37:40 2026 max relations containing the same ideal: 83 Mon Jan 5 17:37:50 2026 removing 6558125 relations and 4558125 ideals in 2000000 cliques Mon Jan 5 17:37:51 2026 commencing in-memory singleton removal Mon Jan 5 17:37:52 2026 begin with 48546881 relations and 47056408 unique ideals Mon Jan 5 17:37:55 2026 reduce to 48000167 relations and 41934431 ideals in 9 passes Mon Jan 5 17:37:55 2026 max relations containing the same ideal: 77 Mon Jan 5 17:38:04 2026 removing 6620068 relations and 4620068 ideals in 2000000 cliques Mon Jan 5 17:38:05 2026 commencing in-memory singleton removal Mon Jan 5 17:38:06 2026 begin with 41380099 relations and 41934431 unique ideals Mon Jan 5 17:38:07 2026 reduce to 40733733 relations and 36645086 ideals in 8 passes Mon Jan 5 17:38:07 2026 max relations containing the same ideal: 68 Mon Jan 5 17:38:16 2026 removing 6714588 relations and 4714588 ideals in 2000000 cliques Mon Jan 5 17:38:17 2026 commencing in-memory singleton removal Mon Jan 5 17:38:17 2026 begin with 34019145 relations and 36645086 unique ideals Mon Jan 5 17:38:19 2026 reduce to 33223917 relations and 31101702 ideals in 10 passes Mon Jan 5 17:38:19 2026 max relations containing the same ideal: 61 Mon Jan 5 17:38:26 2026 removing 3408533 relations and 2576061 ideals in 832472 cliques Mon Jan 5 17:38:27 2026 commencing in-memory singleton removal Mon Jan 5 17:38:27 2026 begin with 29815384 relations and 31101702 unique ideals Mon Jan 5 17:38:28 2026 reduce to 29554508 relations and 28258762 ideals in 7 passes Mon Jan 5 17:38:28 2026 max relations containing the same ideal: 55 Mon Jan 5 17:38:37 2026 relations with 0 large ideals: 40207 Mon Jan 5 17:38:37 2026 relations with 1 large ideals: 45388 Mon Jan 5 17:38:37 2026 relations with 2 large ideals: 461519 Mon Jan 5 17:38:37 2026 relations with 3 large ideals: 2215201 Mon Jan 5 17:38:37 2026 relations with 4 large ideals: 5547947 Mon Jan 5 17:38:37 2026 relations with 5 large ideals: 8071344 Mon Jan 5 17:38:37 2026 relations with 6 large ideals: 7166727 Mon Jan 5 17:38:37 2026 relations with 7+ large ideals: 6006175 Mon Jan 5 17:38:37 2026 commencing 2-way merge Mon Jan 5 17:38:45 2026 reduce to 18459433 relation sets and 17163687 unique ideals Mon Jan 5 17:38:45 2026 commencing full merge Mon Jan 5 17:42:41 2026 memory use: 2206.3 MB Mon Jan 5 17:42:42 2026 found 8049250 cycles, need 8013887 Mon Jan 5 17:42:44 2026 weight of 8013887 cycles is about 1042455652 (130.08/cycle) Mon Jan 5 17:42:44 2026 distribution of cycle lengths: Mon Jan 5 17:42:44 2026 1 relations: 346792 Mon Jan 5 17:42:44 2026 2 relations: 432992 Mon Jan 5 17:42:44 2026 3 relations: 492149 Mon Jan 5 17:42:44 2026 4 relations: 502886 Mon Jan 5 17:42:44 2026 5 relations: 519517 Mon Jan 5 17:42:44 2026 6 relations: 518033 Mon Jan 5 17:42:44 2026 7 relations: 515170 Mon Jan 5 17:42:44 2026 8 relations: 506293 Mon Jan 5 17:42:44 2026 9 relations: 489339 Mon Jan 5 17:42:44 2026 10+ relations: 3690716 Mon Jan 5 17:42:44 2026 heaviest cycle: 28 relations Mon Jan 5 17:42:46 2026 commencing cycle optimization Mon Jan 5 17:42:57 2026 start with 78166459 relations Mon Jan 5 17:44:42 2026 pruned 3800602 relations Mon Jan 5 17:44:42 2026 memory use: 2006.2 MB Mon Jan 5 17:44:42 2026 distribution of cycle lengths: Mon Jan 5 17:44:42 2026 1 relations: 346792 Mon Jan 5 17:44:42 2026 2 relations: 443461 Mon Jan 5 17:44:42 2026 3 relations: 511968 Mon Jan 5 17:44:42 2026 4 relations: 523615 Mon Jan 5 17:44:42 2026 5 relations: 545600 Mon Jan 5 17:44:42 2026 6 relations: 544560 Mon Jan 5 17:44:42 2026 7 relations: 544567 Mon Jan 5 17:44:42 2026 8 relations: 534364 Mon Jan 5 17:44:42 2026 9 relations: 517029 Mon Jan 5 17:44:42 2026 10+ relations: 3501931 Mon Jan 5 17:44:42 2026 heaviest cycle: 28 relations Mon Jan 5 17:44:49 2026 RelProcTime: 1327 Mon Jan 5 17:44:50 2026 elapsed time 00:22:09 Mon Jan 5 17:55:10 2026 Mon Jan 5 17:55:10 2026 Mon Jan 5 17:55:10 2026 Msieve v. 1.54 (SVN 573b9ef) Mon Jan 5 17:55:10 2026 random seeds: f3660004 6e12bfe8 Mon Jan 5 17:55:10 2026 MPI process 0 of 2 Mon Jan 5 17:55:10 2026 Using 8 OpenMP threads Mon Jan 5 17:55:10 2026 factoring 81167197035703487540694713704755334808417419907212146167658654787865631303144610515518417629778149407627653842165450672479912450109416910186690825325545907933534059322291353525573546897 (185 digits) Mon Jan 5 17:55:10 2026 no P-1/P+1/ECM available, skipping Mon Jan 5 17:55:10 2026 commencing number field sieve (185-digit input) Mon Jan 5 17:55:10 2026 R0: 1 Mon Jan 5 17:55:10 2026 R1: -17394801666514410491814835158424665481 Mon Jan 5 17:55:10 2026 A0: -1609669 Mon Jan 5 17:55:10 2026 A1: 0 Mon Jan 5 17:55:10 2026 A2: 0 Mon Jan 5 17:55:10 2026 A3: 0 Mon Jan 5 17:55:10 2026 A4: 0 Mon Jan 5 17:55:10 2026 A5: 0 Mon Jan 5 17:55:10 2026 A6: 1 Mon Jan 5 17:55:10 2026 skew 8.50, size 8.886e-12, alpha 0.158, combined = 6.034e-13 rroots = 2 Mon Jan 5 17:55:10 2026 Mon Jan 5 17:55:10 2026 commencing linear algebra Mon Jan 5 17:55:10 2026 using VBITS=256 Mon Jan 5 17:55:10 2026 initialized process (0,0) of 1 x 2 grid Mon Jan 5 17:55:11 2026 read 8013887 cycles Mon Jan 5 17:55:21 2026 cycles contain 28783223 unique relations Mon Jan 5 17:55:36 2026 read 28783223 relations Mon Jan 5 17:55:41 2026 using 20 quadratic characters above 4294917295 Mon Jan 5 17:55:49 2026 building initial matrix Mon Jan 5 17:58:49 2026 memory use: 3595.2 MB Mon Jan 5 17:58:53 2026 read 8013887 cycles Mon Jan 5 17:58:54 2026 matrix is 8013710 x 8013887 (3981.3 MB) with weight 1141139026 (142.40/col) Mon Jan 5 17:58:54 2026 sparse part has weight 963531176 (120.23/col) Mon Jan 5 17:59:38 2026 filtering completed in 2 passes Mon Jan 5 17:59:39 2026 matrix is 8013513 x 8013683 (3981.3 MB) with weight 1141130528 (142.40/col) Mon Jan 5 17:59:39 2026 sparse part has weight 963527227 (120.24/col) Mon Jan 5 17:59:51 2026 matrix starts at (0, 0) Mon Jan 5 17:59:51 2026 matrix is 8013513 x 4006852 (1990.6 MB) with weight 570570431 (142.40/col) Mon Jan 5 17:59:51 2026 sparse part has weight 481763805 (120.23/col) Mon Jan 5 17:59:51 2026 saving the first 240 matrix rows for later Mon Jan 5 17:59:52 2026 matrix includes 256 packed rows Mon Jan 5 17:59:53 2026 matrix is 8013273 x 4006852 (1801.0 MB) with weight 433738248 (108.25/col) Mon Jan 5 17:59:53 2026 sparse part has weight 408007195 (101.83/col) Mon Jan 5 17:59:53 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti) Mon Jan 5 17:59:53 2026 selected card has CUDA arch 8.6 Mon Jan 5 18:00:07 2026 commencing Lanczos iteration Mon Jan 5 18:00:08 2026 memory use: 4503.8 MB Mon Jan 5 18:00:25 2026 linear algebra at 0.4%, ETA 1h13m Mon Jan 5 18:00:50 2026 checking every 100000 dimensions, checkpointing every 6600000 dimensions Mon Jan 5 19:14:02 2026 lanczos halted after 31398 iterations (dim = 8013273) Mon Jan 5 19:15:32 2026 recovered 36 nontrivial dependencies Mon Jan 5 19:15:32 2026 BLanczosTime: 4822 Mon Jan 5 19:15:32 2026 elapsed time 01:20:22 Mon Jan 5 19:29:03 2026 Mon Jan 5 19:29:03 2026 Mon Jan 5 19:29:03 2026 Msieve v. 1.54 (SVN 573b9ef) Mon Jan 5 19:29:03 2026 random seeds: 1d9a6eee 605c8354 Mon Jan 5 19:29:03 2026 Using 32 OpenMP threads Mon Jan 5 19:29:03 2026 factoring 81167197035703487540694713704755334808417419907212146167658654787865631303144610515518417629778149407627653842165450672479912450109416910186690825325545907933534059322291353525573546897 (185 digits) Mon Jan 5 19:29:03 2026 no P-1/P+1/ECM available, skipping Mon Jan 5 19:29:03 2026 commencing number field sieve (185-digit input) Mon Jan 5 19:29:03 2026 R0: 1 Mon Jan 5 19:29:03 2026 R1: -17394801666514410491814835158424665481 Mon Jan 5 19:29:03 2026 A0: -1609669 Mon Jan 5 19:29:03 2026 A1: 0 Mon Jan 5 19:29:03 2026 A2: 0 Mon Jan 5 19:29:03 2026 A3: 0 Mon Jan 5 19:29:03 2026 A4: 0 Mon Jan 5 19:29:03 2026 A5: 0 Mon Jan 5 19:29:03 2026 A6: 1 Mon Jan 5 19:29:03 2026 skew 8.50, size 8.886e-12, alpha 0.158, combined = 6.034e-13 rroots = 2 Mon Jan 5 19:29:03 2026 Mon Jan 5 19:29:03 2026 commencing square root phase Mon Jan 5 19:29:03 2026 reading relations for dependency 1 Mon Jan 5 19:29:04 2026 read 4007085 cycles Mon Jan 5 19:29:33 2026 cycles contain 14389612 unique relations Mon Jan 5 19:30:24 2026 read 14389612 relations Mon Jan 5 19:33:02 2026 multiplying 14389612 relations Mon Jan 5 19:34:24 2026 multiply complete, coefficients have about 376.60 million bits Mon Jan 5 19:34:24 2026 initial square root is modulo 5720731 Mon Jan 5 19:35:41 2026 sqrtTime: 398 Mon Jan 5 19:35:41 2026 p65 factor: 12685849044332678337192276091346198151056430493371286323757795957 Mon Jan 5 19:35:41 2026 p121 factor: 6398247113933963451464028257387577520585721100940128192028208092936147446973067268486788024200347286035011648732186757421 Mon Jan 5 19:35:41 2026 elapsed time 00:06:38