Fri Mar 13 23:13:34 2026 Fri Mar 13 23:13:34 2026 Fri Mar 13 23:13:34 2026 Msieve v. 1.54 (SVN unknown) Fri Mar 13 23:13:34 2026 random seeds: 5ef770e3 819332d6 Fri Mar 13 23:13:34 2026 factoring 7959192059605247872743741381239411139036296696182396793449164901401766578590806539322363966255918457315541217086329876968996721039372111833196981667051481007404188435775173283466667149582394641326321036541 (205 digits) Fri Mar 13 23:13:34 2026 no P-1/P+1/ECM available, skipping Fri Mar 13 23:13:34 2026 commencing number field sieve (205-digit input) Fri Mar 13 23:13:34 2026 R0: 5570748970960291921935923156205230544832578720554473 Fri Mar 13 23:13:34 2026 R1: -1 Fri Mar 13 23:13:34 2026 A0: 1 Fri Mar 13 23:13:34 2026 A1: 1 Fri Mar 13 23:13:34 2026 A2: 1 Fri Mar 13 23:13:34 2026 A3: 1 Fri Mar 13 23:13:34 2026 A4: 1 Fri Mar 13 23:13:34 2026 skew 1.93, size 4.099e-21, alpha 1.694, combined = 1.306e-12 rroots = 0 Fri Mar 13 23:13:34 2026 Fri Mar 13 23:13:34 2026 commencing relation filtering Fri Mar 13 23:13:34 2026 setting target matrix density to 110.0 Fri Mar 13 23:13:34 2026 estimated available RAM is 95911.2 MB Fri Mar 13 23:13:34 2026 commencing duplicate removal, pass 1 Fri Mar 13 23:13:47 2026 error -9 reading relation 2808912 Fri Mar 13 23:15:15 2026 error -15 reading relation 20690542 Fri Mar 13 23:15:19 2026 error -9 reading relation 21437068 Fri Mar 13 23:15:55 2026 error -9 reading relation 28949210 Fri Mar 13 23:15:57 2026 error -15 reading relation 29410204 Fri Mar 13 23:16:29 2026 error -15 reading relation 36210017 Fri Mar 13 23:16:48 2026 error -9 reading relation 40175002 Fri Mar 13 23:16:59 2026 error -9 reading relation 42562658 Fri Mar 13 23:17:09 2026 error -9 reading relation 44636743 Fri Mar 13 23:18:10 2026 error -5 reading relation 57128391 Fri Mar 13 23:18:11 2026 error -9 reading relation 57426627 Fri Mar 13 23:18:52 2026 error -9 reading relation 66105035 Fri Mar 13 23:19:27 2026 error -9 reading relation 73616737 Fri Mar 13 23:19:37 2026 error -9 reading relation 75781256 Fri Mar 13 23:20:10 2026 error -1 reading relation 82889200 Fri Mar 13 23:20:10 2026 error -9 reading relation 82934706 Fri Mar 13 23:20:42 2026 error -9 reading relation 89998511 Fri Mar 13 23:20:42 2026 error -5 reading relation 90007683 Fri Mar 13 23:20:50 2026 error -9 reading relation 91987747 Fri Mar 13 23:20:50 2026 error -5 reading relation 92058355 Fri Mar 13 23:21:04 2026 error -9 reading relation 95028936 Fri Mar 13 23:21:05 2026 error -9 reading relation 95186415 Fri Mar 13 23:21:05 2026 error -9 reading relation 95240187 Fri Mar 13 23:21:08 2026 error -9 reading relation 95828418 Fri Mar 13 23:21:22 2026 error -9 reading relation 99120969 Fri Mar 13 23:21:23 2026 error -5 reading relation 99432503 Fri Mar 13 23:21:27 2026 error -9 reading relation 100366273 Fri Mar 13 23:21:57 2026 error -9 reading relation 107507032 Fri Mar 13 23:22:09 2026 error -9 reading relation 109940514 Fri Mar 13 23:22:11 2026 error -9 reading relation 110333760 Fri Mar 13 23:22:11 2026 error -1 reading relation 110392845 Fri Mar 13 23:22:11 2026 error -1 reading relation 110436207 Fri Mar 13 23:22:11 2026 error -1 reading relation 110520358 Fri Mar 13 23:22:11 2026 error -9 reading relation 110566632 Fri Mar 13 23:22:11 2026 error -9 reading relation 110568165 Fri Mar 13 23:22:20 2026 error -9 reading relation 112493639 Fri Mar 13 23:22:20 2026 error -9 reading relation 112588884 Fri Mar 13 23:22:20 2026 error -9 reading relation 112627298 Fri Mar 13 23:22:21 2026 error -15 reading relation 112674728 Fri Mar 13 23:22:23 2026 error -9 reading relation 113117118 Fri Mar 13 23:22:23 2026 error -9 reading relation 113205383 Fri Mar 13 23:22:23 2026 error -15 reading relation 113226661 Fri Mar 13 23:22:23 2026 error -9 reading relation 113284392 Fri Mar 13 23:22:24 2026 error -15 reading relation 113378099 Fri Mar 13 23:22:24 2026 error -9 reading relation 113396603 Fri Mar 13 23:22:24 2026 error -9 reading relation 113466092 Fri Mar 13 23:22:24 2026 error -9 reading relation 113480818 Fri Mar 13 23:22:25 2026 error -15 reading relation 113639080 Fri Mar 13 23:22:25 2026 error -9 reading relation 113760110 Fri Mar 13 23:22:26 2026 error -15 reading relation 113841823 Fri Mar 13 23:22:26 2026 error -9 reading relation 114007115 Fri Mar 13 23:22:27 2026 error -9 reading relation 114095796 Fri Mar 13 23:22:27 2026 error -9 reading relation 114181770 Fri Mar 13 23:22:28 2026 error -1 reading relation 114381012 Fri Mar 13 23:22:28 2026 error -9 reading relation 114443165 Fri Mar 13 23:22:29 2026 error -9 reading relation 114482396 Fri Mar 13 23:22:30 2026 error -9 reading relation 114731878 Fri Mar 13 23:22:33 2026 error -5 reading relation 115539376 Fri Mar 13 23:22:44 2026 error -9 reading relation 118399304 Fri Mar 13 23:22:51 2026 error -9 reading relation 119907499 Fri Mar 13 23:22:51 2026 error -9 reading relation 120112214 Fri Mar 13 23:22:52 2026 error -9 reading relation 120236069 Fri Mar 13 23:23:16 2026 error -5 reading relation 126067162 Fri Mar 13 23:23:17 2026 error -9 reading relation 126237658 Fri Mar 13 23:23:42 2026 skipped 94 relations with b > 2^32 Fri Mar 13 23:23:42 2026 skipped 35 relations with composite factors Fri Mar 13 23:23:42 2026 found 16571064 hash collisions in 132283694 relations Fri Mar 13 23:23:48 2026 added 3657737 free relations Fri Mar 13 23:23:48 2026 commencing duplicate removal, pass 2 Fri Mar 13 23:26:11 2026 found 11945512 duplicates and 123995919 unique relations Fri Mar 13 23:26:11 2026 memory use: 660.8 MB Fri Mar 13 23:26:11 2026 reading ideals above 720000 Fri Mar 13 23:26:11 2026 commencing singleton removal, initial pass Fri Mar 13 23:39:47 2026 memory use: 3012.0 MB Fri Mar 13 23:39:47 2026 reading all ideals from disk Fri Mar 13 23:39:50 2026 memory use: 4605.4 MB Fri Mar 13 23:40:02 2026 keeping 117733316 ideals with weight <= 200, target excess is 630993 Fri Mar 13 23:40:23 2026 commencing in-memory singleton removal Fri Mar 13 23:40:33 2026 begin with 123995919 relations and 117733316 unique ideals Fri Mar 13 23:44:45 2026 reduce to 68020365 relations and 54691915 ideals in 17 passes Fri Mar 13 23:44:45 2026 max relations containing the same ideal: 143 Fri Mar 13 23:45:26 2026 removing 9643046 relations and 7643046 ideals in 2000000 cliques Fri Mar 13 23:45:30 2026 commencing in-memory singleton removal Fri Mar 13 23:45:35 2026 begin with 58377319 relations and 54691915 unique ideals Fri Mar 13 23:47:31 2026 reduce to 57253653 relations and 45881975 ideals in 10 passes Fri Mar 13 23:47:31 2026 max relations containing the same ideal: 124 Fri Mar 13 23:48:06 2026 removing 7549784 relations and 5549784 ideals in 2000000 cliques Fri Mar 13 23:48:10 2026 commencing in-memory singleton removal Fri Mar 13 23:48:14 2026 begin with 49703869 relations and 45881975 unique ideals Fri Mar 13 23:49:33 2026 reduce to 48916041 relations and 39515355 ideals in 8 passes Fri Mar 13 23:49:33 2026 max relations containing the same ideal: 113 Fri Mar 13 23:50:03 2026 removing 6934882 relations and 4934882 ideals in 2000000 cliques Fri Mar 13 23:50:06 2026 commencing in-memory singleton removal Fri Mar 13 23:50:09 2026 begin with 41981159 relations and 39515355 unique ideals Fri Mar 13 23:51:32 2026 reduce to 41255200 relations and 33825880 ideals in 10 passes Fri Mar 13 23:51:32 2026 max relations containing the same ideal: 101 Fri Mar 13 23:51:58 2026 removing 6607384 relations and 4607384 ideals in 2000000 cliques Fri Mar 13 23:52:01 2026 commencing in-memory singleton removal Fri Mar 13 23:52:03 2026 begin with 34647816 relations and 33825880 unique ideals Fri Mar 13 23:52:50 2026 reduce to 33925104 relations and 28463027 ideals in 7 passes Fri Mar 13 23:52:50 2026 max relations containing the same ideal: 88 Fri Mar 13 23:53:11 2026 removing 6379159 relations and 4379159 ideals in 2000000 cliques Fri Mar 13 23:53:14 2026 commencing in-memory singleton removal Fri Mar 13 23:53:16 2026 begin with 27545945 relations and 28463027 unique ideals Fri Mar 13 23:54:11 2026 reduce to 26786290 relations and 23283014 ideals in 10 passes Fri Mar 13 23:54:11 2026 max relations containing the same ideal: 75 Fri Mar 13 23:54:28 2026 removing 6177015 relations and 4177015 ideals in 2000000 cliques Fri Mar 13 23:54:31 2026 commencing in-memory singleton removal Fri Mar 13 23:54:32 2026 begin with 20609275 relations and 23283014 unique ideals Fri Mar 13 23:55:08 2026 reduce to 19774578 relations and 18214325 ideals in 9 passes Fri Mar 13 23:55:08 2026 max relations containing the same ideal: 62 Fri Mar 13 23:55:21 2026 removing 2949634 relations and 2121333 ideals in 828301 cliques Fri Mar 13 23:55:22 2026 commencing in-memory singleton removal Fri Mar 13 23:55:23 2026 begin with 16824944 relations and 18214325 unique ideals Fri Mar 13 23:55:45 2026 reduce to 16554757 relations and 15812339 ideals in 7 passes Fri Mar 13 23:55:45 2026 max relations containing the same ideal: 54 Fri Mar 13 23:55:55 2026 removing 70975 relations and 60509 ideals in 10466 cliques Fri Mar 13 23:55:57 2026 commencing in-memory singleton removal Fri Mar 13 23:55:58 2026 begin with 16483782 relations and 15812339 unique ideals Fri Mar 13 23:56:11 2026 reduce to 16483624 relations and 15751672 ideals in 4 passes Fri Mar 13 23:56:11 2026 max relations containing the same ideal: 54 Fri Mar 13 23:56:13 2026 relations with 0 large ideals: 50576 Fri Mar 13 23:56:13 2026 relations with 1 large ideals: 14913 Fri Mar 13 23:56:13 2026 relations with 2 large ideals: 170121 Fri Mar 13 23:56:13 2026 relations with 3 large ideals: 925828 Fri Mar 13 23:56:13 2026 relations with 4 large ideals: 2663239 Fri Mar 13 23:56:13 2026 relations with 5 large ideals: 4874538 Fri Mar 13 23:56:13 2026 relations with 6 large ideals: 4157246 Fri Mar 13 23:56:13 2026 relations with 7+ large ideals: 3627163 Fri Mar 13 23:56:13 2026 commencing 2-way merge Fri Mar 13 23:56:28 2026 reduce to 10805904 relation sets and 10073952 unique ideals Fri Mar 13 23:56:28 2026 commencing full merge Sat Mar 14 00:01:25 2026 memory use: 1309.7 MB Sat Mar 14 00:01:27 2026 found 5042115 cycles, need 4984152 Sat Mar 14 00:01:27 2026 weight of 4984152 cycles is about 548425406 (110.03/cycle) Sat Mar 14 00:01:27 2026 distribution of cycle lengths: Sat Mar 14 00:01:27 2026 1 relations: 163546 Sat Mar 14 00:01:27 2026 2 relations: 253175 Sat Mar 14 00:01:27 2026 3 relations: 328977 Sat Mar 14 00:01:27 2026 4 relations: 357863 Sat Mar 14 00:01:27 2026 5 relations: 371993 Sat Mar 14 00:01:27 2026 6 relations: 374699 Sat Mar 14 00:01:27 2026 7 relations: 368428 Sat Mar 14 00:01:27 2026 8 relations: 355198 Sat Mar 14 00:01:27 2026 9 relations: 334873 Sat Mar 14 00:01:27 2026 10+ relations: 2075400 Sat Mar 14 00:01:27 2026 heaviest cycle: 28 relations Sat Mar 14 00:01:30 2026 commencing cycle optimization Sat Mar 14 00:01:43 2026 start with 45258534 relations Sat Mar 14 00:04:09 2026 pruned 2178893 relations Sat Mar 14 00:04:09 2026 memory use: 1149.9 MB Sat Mar 14 00:04:09 2026 distribution of cycle lengths: Sat Mar 14 00:04:09 2026 1 relations: 163546 Sat Mar 14 00:04:09 2026 2 relations: 259236 Sat Mar 14 00:04:09 2026 3 relations: 343051 Sat Mar 14 00:04:09 2026 4 relations: 374275 Sat Mar 14 00:04:09 2026 5 relations: 392926 Sat Mar 14 00:04:09 2026 6 relations: 395331 Sat Mar 14 00:04:09 2026 7 relations: 390428 Sat Mar 14 00:04:09 2026 8 relations: 374269 Sat Mar 14 00:04:09 2026 9 relations: 352428 Sat Mar 14 00:04:09 2026 10+ relations: 1938662 Sat Mar 14 00:04:09 2026 heaviest cycle: 28 relations Sat Mar 14 00:04:21 2026 RelProcTime: 3047 Sat Mar 14 00:04:21 2026 Sat Mar 14 00:04:21 2026 commencing linear algebra Sat Mar 14 00:04:22 2026 read 4984152 cycles Sat Mar 14 00:04:33 2026 cycles contain 16110615 unique relations Sat Mar 14 00:06:36 2026 read 16110615 relations Sat Mar 14 00:07:18 2026 using 20 quadratic characters above 4294917295 Sat Mar 14 00:07:57 2026 building initial matrix Sat Mar 14 00:11:31 2026 memory use: 1969.0 MB Sat Mar 14 00:11:35 2026 read 4984152 cycles Sat Mar 14 00:11:36 2026 matrix is 4983975 x 4984152 (2173.5 MB) with weight 625511506 (125.50/col) Sat Mar 14 00:11:36 2026 sparse part has weight 514944089 (103.32/col) Sat Mar 14 00:12:35 2026 filtering completed in 2 passes Sat Mar 14 00:12:37 2026 matrix is 4983815 x 4983992 (2173.5 MB) with weight 625504989 (125.50/col) Sat Mar 14 00:12:37 2026 sparse part has weight 514941147 (103.32/col) Sat Mar 14 00:12:53 2026 matrix starts at (0, 0) Sat Mar 14 00:12:54 2026 matrix is 4983815 x 4983992 (2173.5 MB) with weight 625504989 (125.50/col) Sat Mar 14 00:12:54 2026 sparse part has weight 514941147 (103.32/col) Sat Mar 14 00:12:54 2026 saving the first 48 matrix rows for later Sat Mar 14 00:12:55 2026 matrix includes 64 packed rows Sat Mar 14 00:12:56 2026 matrix is 4983767 x 4983992 (2078.5 MB) with weight 532802276 (106.90/col) Sat Mar 14 00:12:56 2026 sparse part has weight 495027233 (99.32/col) Sat Mar 14 00:12:56 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB Sat Mar 14 00:13:12 2026 commencing Lanczos iteration (32 threads) Sat Mar 14 00:13:12 2026 memory use: 1981.0 MB Sat Mar 14 00:13:20 2026 linear algebra at 0.0%, ETA 6h23m Sat Mar 14 00:13:23 2026 checkpointing every 730000 dimensions Sat Mar 14 07:04:34 2026 lanczos halted after 78815 iterations (dim = 4983766) Sat Mar 14 07:04:37 2026 recovered 36 nontrivial dependencies Sat Mar 14 07:04:38 2026 BLanczosTime: 25217 Sat Mar 14 07:04:38 2026 Sat Mar 14 07:04:38 2026 commencing square root phase Sat Mar 14 07:04:38 2026 handling dependencies 1 to 64 Sat Mar 14 07:04:38 2026 reading relations for dependency 1 Sat Mar 14 07:04:39 2026 read 2490420 cycles Sat Mar 14 07:04:44 2026 cycles contain 8051514 unique relations Sat Mar 14 07:06:26 2026 read 8051514 relations Sat Mar 14 07:07:04 2026 multiplying 8051514 relations Sat Mar 14 07:09:19 2026 multiply complete, coefficients have about 203.28 million bits Sat Mar 14 07:09:19 2026 initial square root is modulo 19728253 Sat Mar 14 07:12:10 2026 sqrtTime: 452 Sat Mar 14 07:12:10 2026 p97 factor: 5508641715948751828106591327845010264055371520694055324657238409808982364887584397992871882974101 Sat Mar 14 07:12:10 2026 p109 factor: 1444855641375550677221447530711361745258536219738347944540983311335993341598824820393393372364008687871658441 Sat Mar 14 07:12:10 2026 elapsed time 07:58:36