Fri Apr 17 19:56:19 2026 Fri Apr 17 19:56:19 2026 Fri Apr 17 19:56:19 2026 Msieve v. 1.54 (SVN unknown) Fri Apr 17 19:56:19 2026 random seeds: 8f016cc2 8d4a3b1d Fri Apr 17 19:56:19 2026 Using 12 OpenMP threads Fri Apr 17 19:56:19 2026 factoring 1298333010709451369872328295685368078482454400783613682036089020921851567094337836519843365240713583630441889928685249394439986477150645545131619646493248760049053000878918183 (175 digits) Fri Apr 17 19:56:19 2026 no P-1/P+1/ECM available, skipping Fri Apr 17 19:56:19 2026 commencing number field sieve (175-digit input) Fri Apr 17 19:56:19 2026 R0: -12295738456360951186784317848126559 Fri Apr 17 19:56:19 2026 R1: 1505764708880592240767 Fri Apr 17 19:56:19 2026 A0: -10228347112003497280123241428016903116236240 Fri Apr 17 19:56:19 2026 A1: 1401248575314610457036485328340248856 Fri Apr 17 19:56:19 2026 A2: 46413760023930585355148264636 Fri Apr 17 19:56:19 2026 A3: 104266535533189147520 Fri Apr 17 19:56:19 2026 A4: -2515561965367 Fri Apr 17 19:56:19 2026 A5: 4620 Fri Apr 17 19:56:19 2026 skew 131009294.15, size 7.196e-17, alpha -7.514, combined = 2.371e-13 rroots = 5 Fri Apr 17 19:56:19 2026 Fri Apr 17 19:56:19 2026 commencing relation filtering Fri Apr 17 19:56:19 2026 setting 3 target densities:Fri Apr 17 19:56:19 2026 90Fri Apr 17 19:56:19 2026 110Fri Apr 17 19:56:19 2026 130Fri Apr 17 19:56:19 2026 Fri Apr 17 19:56:19 2026 estimated available RAM is 78540.1 MB Fri Apr 17 19:56:19 2026 commencing duplicate removal, pass 1 Fri Apr 17 19:58:13 2026 error -1 reading relation 137576436 Fri Apr 17 19:58:14 2026 error -1 reading relation 137689273 Fri Apr 17 19:58:46 2026 error -1 reading relation 177539118 Fri Apr 17 19:58:54 2026 error -1 reading relation 188207752 Fri Apr 17 19:58:56 2026 error -1 reading relation 190544509 Fri Apr 17 19:58:56 2026 error -1 reading relation 190901629 Fri Apr 17 19:58:57 2026 error -1 reading relation 192207708 Fri Apr 17 19:59:07 2026 error -1 reading relation 204507520 Fri Apr 17 19:59:22 2026 error -1 reading relation 217799390 Fri Apr 17 19:59:46 2026 error -15 reading relation 237154192 Fri Apr 17 20:00:02 2026 error -1 reading relation 251058901 Fri Apr 17 20:00:08 2026 error -1 reading relation 257366780 Fri Apr 17 20:00:09 2026 error -1 reading relation 258142108 Fri Apr 17 20:01:13 2026 error -1 reading relation 330951121 Fri Apr 17 20:01:18 2026 skipped 1 relations with b > 2^32 Fri Apr 17 20:01:18 2026 skipped 3 relations with composite factors Fri Apr 17 20:01:18 2026 skipped 154 malformed relations Fri Apr 17 20:01:18 2026 found 68987662 hash collisions in 336951818 relations Fri Apr 17 20:01:30 2026 added 121521 free relations Fri Apr 17 20:01:30 2026 commencing duplicate removal, pass 2 Fri Apr 17 20:03:28 2026 found 72529899 duplicates and 264543440 unique relations Fri Apr 17 20:03:28 2026 memory use: 1705.5 MB Fri Apr 17 20:03:29 2026 reading ideals above 720000 Fri Apr 17 20:03:29 2026 commencing singleton removal, initial pass Fri Apr 17 20:12:47 2026 memory use: 6024.0 MB Fri Apr 17 20:12:48 2026 reading all ideals from disk Fri Apr 17 20:12:52 2026 memory use: 12530.6 MB Fri Apr 17 20:13:08 2026 keeping 246760946 ideals with weight <= 200, target excess is 1451237 Fri Apr 17 20:13:27 2026 commencing in-memory singleton removal Fri Apr 17 20:13:29 2026 begin with 264543440 relations and 246760946 unique ideals Fri Apr 17 20:13:52 2026 reduce to 161834847 relations and 133044116 ideals in 17 passes Fri Apr 17 20:13:52 2026 max relations containing the same ideal: 156 Fri Apr 17 20:13:55 2026 trying target density 90 Fri Apr 17 20:14:32 2026 removing 12426974 relations and 10426974 ideals in 2000000 cliques Fri Apr 17 20:14:35 2026 commencing in-memory singleton removal Fri Apr 17 20:14:37 2026 begin with 149407873 relations and 133044116 unique ideals Fri Apr 17 20:14:45 2026 reduce to 148652705 relations and 121849602 ideals in 8 passes Fri Apr 17 20:14:45 2026 max relations containing the same ideal: 149 Fri Apr 17 20:15:21 2026 removing 9433251 relations and 7433251 ideals in 2000000 cliques Fri Apr 17 20:15:23 2026 commencing in-memory singleton removal Fri Apr 17 20:15:25 2026 begin with 139219454 relations and 121849602 unique ideals Fri Apr 17 20:15:32 2026 reduce to 138723304 relations and 113913198 ideals in 8 passes Fri Apr 17 20:15:32 2026 max relations containing the same ideal: 142 Fri Apr 17 20:16:03 2026 removing 8522233 relations and 6522233 ideals in 2000000 cliques Fri Apr 17 20:16:06 2026 commencing in-memory singleton removal Fri Apr 17 20:16:07 2026 begin with 130201071 relations and 113913198 unique ideals Fri Apr 17 20:16:14 2026 reduce to 129764454 relations and 106948142 ideals in 8 passes Fri Apr 17 20:16:14 2026 max relations containing the same ideal: 136 Fri Apr 17 20:16:43 2026 removing 8049528 relations and 6049528 ideals in 2000000 cliques Fri Apr 17 20:16:45 2026 commencing in-memory singleton removal Fri Apr 17 20:16:46 2026 begin with 121714926 relations and 106948142 unique ideals Fri Apr 17 20:16:52 2026 reduce to 121299415 relations and 100477084 ideals in 7 passes Fri Apr 17 20:16:52 2026 max relations containing the same ideal: 130 Fri Apr 17 20:17:21 2026 removing 7760257 relations and 5760257 ideals in 2000000 cliques Fri Apr 17 20:17:24 2026 commencing in-memory singleton removal Fri Apr 17 20:17:25 2026 begin with 113539158 relations and 100477084 unique ideals Fri Apr 17 20:17:30 2026 reduce to 113130355 relations and 94301842 ideals in 7 passes Fri Apr 17 20:17:30 2026 max relations containing the same ideal: 125 Fri Apr 17 20:18:02 2026 removing 7573214 relations and 5573214 ideals in 2000000 cliques Fri Apr 17 20:18:04 2026 commencing in-memory singleton removal Fri Apr 17 20:18:05 2026 begin with 105557141 relations and 94301842 unique ideals Fri Apr 17 20:18:10 2026 reduce to 105143631 relations and 88308622 ideals in 8 passes Fri Apr 17 20:18:10 2026 max relations containing the same ideal: 117 Fri Apr 17 20:18:36 2026 removing 7454191 relations and 5454191 ideals in 2000000 cliques Fri Apr 17 20:18:38 2026 commencing in-memory singleton removal Fri Apr 17 20:18:39 2026 begin with 97689440 relations and 88308622 unique ideals Fri Apr 17 20:18:44 2026 reduce to 97260817 relations and 82418574 ideals in 7 passes Fri Apr 17 20:18:44 2026 max relations containing the same ideal: 114 Fri Apr 17 20:19:08 2026 removing 7379576 relations and 5379576 ideals in 2000000 cliques Fri Apr 17 20:19:10 2026 commencing in-memory singleton removal Fri Apr 17 20:19:11 2026 begin with 89881241 relations and 82418574 unique ideals Fri Apr 17 20:19:14 2026 reduce to 89431650 relations and 76581103 ideals in 7 passes Fri Apr 17 20:19:14 2026 max relations containing the same ideal: 109 Fri Apr 17 20:19:37 2026 removing 7352663 relations and 5352663 ideals in 2000000 cliques Fri Apr 17 20:19:39 2026 commencing in-memory singleton removal Fri Apr 17 20:19:40 2026 begin with 82078987 relations and 76581103 unique ideals Fri Apr 17 20:19:44 2026 reduce to 81593872 relations and 70733729 ideals in 8 passes Fri Apr 17 20:19:44 2026 max relations containing the same ideal: 103 Fri Apr 17 20:20:04 2026 removing 7358391 relations and 5358391 ideals in 2000000 cliques Fri Apr 17 20:20:05 2026 commencing in-memory singleton removal Fri Apr 17 20:20:06 2026 begin with 74235481 relations and 70733729 unique ideals Fri Apr 17 20:20:10 2026 reduce to 73704389 relations and 64832962 ideals in 8 passes Fri Apr 17 20:20:10 2026 max relations containing the same ideal: 96 Fri Apr 17 20:20:28 2026 removing 7401635 relations and 5401635 ideals in 2000000 cliques Fri Apr 17 20:20:30 2026 commencing in-memory singleton removal Fri Apr 17 20:20:30 2026 begin with 66302754 relations and 64832962 unique ideals Fri Apr 17 20:20:33 2026 reduce to 65703872 relations and 58818591 ideals in 8 passes Fri Apr 17 20:20:33 2026 max relations containing the same ideal: 88 Fri Apr 17 20:20:50 2026 removing 7487575 relations and 5487575 ideals in 2000000 cliques Fri Apr 17 20:20:52 2026 commencing in-memory singleton removal Fri Apr 17 20:20:52 2026 begin with 58216297 relations and 58818591 unique ideals Fri Apr 17 20:20:55 2026 reduce to 57521796 relations and 52618513 ideals in 9 passes Fri Apr 17 20:20:55 2026 max relations containing the same ideal: 82 Fri Apr 17 20:21:10 2026 removing 7629269 relations and 5629269 ideals in 2000000 cliques Fri Apr 17 20:21:12 2026 commencing in-memory singleton removal Fri Apr 17 20:21:12 2026 begin with 49892527 relations and 52618513 unique ideals Fri Apr 17 20:21:14 2026 reduce to 49043427 relations and 46114919 ideals in 8 passes Fri Apr 17 20:21:14 2026 max relations containing the same ideal: 75 Fri Apr 17 20:21:28 2026 removing 5439963 relations and 4194890 ideals in 1245073 cliques Fri Apr 17 20:21:29 2026 commencing in-memory singleton removal Fri Apr 17 20:21:30 2026 begin with 43603464 relations and 46114919 unique ideals Fri Apr 17 20:21:32 2026 reduce to 43105422 relations and 41410908 ideals in 11 passes Fri Apr 17 20:21:32 2026 max relations containing the same ideal: 66 Fri Apr 17 20:21:44 2026 removing 103584 relations and 92505 ideals in 11079 cliques Fri Apr 17 20:21:44 2026 commencing in-memory singleton removal Fri Apr 17 20:21:44 2026 begin with 43001838 relations and 41410908 unique ideals Fri Apr 17 20:21:46 2026 reduce to 43001672 relations and 41318237 ideals in 5 passes Fri Apr 17 20:21:46 2026 max relations containing the same ideal: 66 Fri Apr 17 20:21:48 2026 relations with 0 large ideals: 6142 Fri Apr 17 20:21:48 2026 relations with 1 large ideals: 60960 Fri Apr 17 20:21:48 2026 relations with 2 large ideals: 626422 Fri Apr 17 20:21:48 2026 relations with 3 large ideals: 2995067 Fri Apr 17 20:21:48 2026 relations with 4 large ideals: 7807730 Fri Apr 17 20:21:48 2026 relations with 5 large ideals: 11934859 Fri Apr 17 20:21:48 2026 relations with 6 large ideals: 11038850 Fri Apr 17 20:21:48 2026 relations with 7+ large ideals: 8531642 Fri Apr 17 20:21:48 2026 commencing 2-way merge Fri Apr 17 20:22:06 2026 reduce to 25969705 relation sets and 24286270 unique ideals Fri Apr 17 20:22:06 2026 commencing full merge Fri Apr 17 20:26:14 2026 memory use: 2650.3 MB Fri Apr 17 20:26:18 2026 found 12558611 cycles, need 12332470 Fri Apr 17 20:26:20 2026 weight of 12332470 cycles is about 1110037069 (90.01/cycle) Fri Apr 17 20:26:20 2026 distribution of cycle lengths: Fri Apr 17 20:26:20 2026 1 relations: 1152277 Fri Apr 17 20:26:20 2026 2 relations: 1105154 Fri Apr 17 20:26:20 2026 3 relations: 1183447 Fri Apr 17 20:26:20 2026 4 relations: 1186736 Fri Apr 17 20:26:20 2026 5 relations: 1152059 Fri Apr 17 20:26:20 2026 6 relations: 1101049 Fri Apr 17 20:26:20 2026 7 relations: 1011587 Fri Apr 17 20:26:20 2026 8 relations: 908456 Fri Apr 17 20:26:20 2026 9 relations: 789350 Fri Apr 17 20:26:20 2026 10+ relations: 2742355 Fri Apr 17 20:26:20 2026 heaviest cycle: 21 relations Fri Apr 17 20:26:22 2026 commencing cycle optimization Fri Apr 17 20:26:37 2026 start with 79433042 relations Fri Apr 17 20:27:55 2026 pruned 2161901 relations Fri Apr 17 20:27:56 2026 memory use: 2551.3 MB Fri Apr 17 20:27:56 2026 distribution of cycle lengths: Fri Apr 17 20:27:56 2026 1 relations: 1152277 Fri Apr 17 20:27:56 2026 2 relations: 1131750 Fri Apr 17 20:27:56 2026 3 relations: 1226389 Fri Apr 17 20:27:56 2026 4 relations: 1220807 Fri Apr 17 20:27:56 2026 5 relations: 1191096 Fri Apr 17 20:27:56 2026 6 relations: 1130812 Fri Apr 17 20:27:56 2026 7 relations: 1037353 Fri Apr 17 20:27:56 2026 8 relations: 922630 Fri Apr 17 20:27:56 2026 9 relations: 794317 Fri Apr 17 20:27:56 2026 10+ relations: 2525039 Fri Apr 17 20:27:56 2026 heaviest cycle: 20 relations Fri Apr 17 20:28:15 2026 trying target density 110 Fri Apr 17 20:29:02 2026 removing 12426974 relations and 10426974 ideals in 2000000 cliques Fri Apr 17 20:29:06 2026 commencing in-memory singleton removal Fri Apr 17 20:29:07 2026 begin with 149407873 relations and 133044116 unique ideals Fri Apr 17 20:29:15 2026 reduce to 148652705 relations and 121849602 ideals in 8 passes Fri Apr 17 20:29:15 2026 max relations containing the same ideal: 149 Fri Apr 17 20:29:50 2026 removing 9433251 relations and 7433251 ideals in 2000000 cliques Fri Apr 17 20:29:53 2026 commencing in-memory singleton removal Fri Apr 17 20:29:54 2026 begin with 139219454 relations and 121849602 unique ideals Fri Apr 17 20:30:02 2026 reduce to 138723304 relations and 113913198 ideals in 8 passes Fri Apr 17 20:30:02 2026 max relations containing the same ideal: 142 Fri Apr 17 20:30:33 2026 removing 8522233 relations and 6522233 ideals in 2000000 cliques Fri Apr 17 20:30:36 2026 commencing in-memory singleton removal Fri Apr 17 20:30:37 2026 begin with 130201071 relations and 113913198 unique ideals Fri Apr 17 20:30:44 2026 reduce to 129764454 relations and 106948142 ideals in 8 passes Fri Apr 17 20:30:44 2026 max relations containing the same ideal: 136 Fri Apr 17 20:31:11 2026 removing 8049528 relations and 6049528 ideals in 2000000 cliques Fri Apr 17 20:31:14 2026 commencing in-memory singleton removal Fri Apr 17 20:31:15 2026 begin with 121714926 relations and 106948142 unique ideals Fri Apr 17 20:31:20 2026 reduce to 121299415 relations and 100477084 ideals in 7 passes Fri Apr 17 20:31:20 2026 max relations containing the same ideal: 130 Fri Apr 17 20:31:47 2026 removing 7760257 relations and 5760257 ideals in 2000000 cliques Fri Apr 17 20:31:50 2026 commencing in-memory singleton removal Fri Apr 17 20:31:51 2026 begin with 113539158 relations and 100477084 unique ideals Fri Apr 17 20:31:56 2026 reduce to 113130355 relations and 94301842 ideals in 7 passes Fri Apr 17 20:31:56 2026 max relations containing the same ideal: 125 Fri Apr 17 20:32:22 2026 removing 7573214 relations and 5573214 ideals in 2000000 cliques Fri Apr 17 20:32:24 2026 commencing in-memory singleton removal Fri Apr 17 20:32:25 2026 begin with 105557141 relations and 94301842 unique ideals Fri Apr 17 20:32:30 2026 reduce to 105143631 relations and 88308622 ideals in 7 passes Fri Apr 17 20:32:30 2026 max relations containing the same ideal: 117 Fri Apr 17 20:32:56 2026 removing 7454191 relations and 5454191 ideals in 2000000 cliques Fri Apr 17 20:32:58 2026 commencing in-memory singleton removal Fri Apr 17 20:32:59 2026 begin with 97689440 relations and 88308622 unique ideals Fri Apr 17 20:33:03 2026 reduce to 97260817 relations and 82418574 ideals in 7 passes Fri Apr 17 20:33:03 2026 max relations containing the same ideal: 114 Fri Apr 17 20:33:25 2026 removing 7379576 relations and 5379576 ideals in 2000000 cliques Fri Apr 17 20:33:27 2026 commencing in-memory singleton removal Fri Apr 17 20:33:28 2026 begin with 89881241 relations and 82418574 unique ideals Fri Apr 17 20:33:32 2026 reduce to 89431650 relations and 76581103 ideals in 7 passes Fri Apr 17 20:33:32 2026 max relations containing the same ideal: 109 Fri Apr 17 20:33:53 2026 removing 7352663 relations and 5352663 ideals in 2000000 cliques Fri Apr 17 20:33:54 2026 commencing in-memory singleton removal Fri Apr 17 20:33:55 2026 begin with 82078987 relations and 76581103 unique ideals Fri Apr 17 20:33:59 2026 reduce to 81593872 relations and 70733729 ideals in 8 passes Fri Apr 17 20:33:59 2026 max relations containing the same ideal: 103 Fri Apr 17 20:34:19 2026 removing 7358391 relations and 5358391 ideals in 2000000 cliques Fri Apr 17 20:34:21 2026 commencing in-memory singleton removal Fri Apr 17 20:34:21 2026 begin with 74235481 relations and 70733729 unique ideals Fri Apr 17 20:34:25 2026 reduce to 73704389 relations and 64832962 ideals in 8 passes Fri Apr 17 20:34:25 2026 max relations containing the same ideal: 96 Fri Apr 17 20:34:44 2026 removing 7401635 relations and 5401635 ideals in 2000000 cliques Fri Apr 17 20:34:45 2026 commencing in-memory singleton removal Fri Apr 17 20:34:46 2026 begin with 66302754 relations and 64832962 unique ideals Fri Apr 17 20:34:49 2026 reduce to 65703872 relations and 58818591 ideals in 7 passes Fri Apr 17 20:34:49 2026 max relations containing the same ideal: 88 Fri Apr 17 20:35:06 2026 removing 7487575 relations and 5487575 ideals in 2000000 cliques Fri Apr 17 20:35:08 2026 commencing in-memory singleton removal Fri Apr 17 20:35:08 2026 begin with 58216297 relations and 58818591 unique ideals Fri Apr 17 20:35:11 2026 reduce to 57521796 relations and 52618513 ideals in 9 passes Fri Apr 17 20:35:11 2026 max relations containing the same ideal: 82 Fri Apr 17 20:35:26 2026 removing 7629269 relations and 5629269 ideals in 2000000 cliques Fri Apr 17 20:35:28 2026 commencing in-memory singleton removal Fri Apr 17 20:35:28 2026 begin with 49892527 relations and 52618513 unique ideals Fri Apr 17 20:35:31 2026 reduce to 49043427 relations and 46114919 ideals in 9 passes Fri Apr 17 20:35:31 2026 max relations containing the same ideal: 75 Fri Apr 17 20:35:44 2026 removing 5439963 relations and 4194890 ideals in 1245073 cliques Fri Apr 17 20:35:45 2026 commencing in-memory singleton removal Fri Apr 17 20:35:45 2026 begin with 43603464 relations and 46114919 unique ideals Fri Apr 17 20:35:48 2026 reduce to 43105422 relations and 41410908 ideals in 11 passes Fri Apr 17 20:35:48 2026 max relations containing the same ideal: 66 Fri Apr 17 20:35:59 2026 removing 103584 relations and 92505 ideals in 11079 cliques Fri Apr 17 20:36:00 2026 commencing in-memory singleton removal Fri Apr 17 20:36:00 2026 begin with 43001838 relations and 41410908 unique ideals Fri Apr 17 20:36:01 2026 reduce to 43001672 relations and 41318237 ideals in 5 passes Fri Apr 17 20:36:01 2026 max relations containing the same ideal: 66 Fri Apr 17 20:36:04 2026 relations with 0 large ideals: 6142 Fri Apr 17 20:36:04 2026 relations with 1 large ideals: 60960 Fri Apr 17 20:36:04 2026 relations with 2 large ideals: 626422 Fri Apr 17 20:36:04 2026 relations with 3 large ideals: 2995067 Fri Apr 17 20:36:04 2026 relations with 4 large ideals: 7807730 Fri Apr 17 20:36:04 2026 relations with 5 large ideals: 11934859 Fri Apr 17 20:36:04 2026 relations with 6 large ideals: 11038850 Fri Apr 17 20:36:04 2026 relations with 7+ large ideals: 8531642 Fri Apr 17 20:36:04 2026 commencing 2-way merge Fri Apr 17 20:36:20 2026 reduce to 25969705 relation sets and 24286270 unique ideals Fri Apr 17 20:36:20 2026 commencing full merge Fri Apr 17 20:41:11 2026 memory use: 2690.1 MB Fri Apr 17 20:41:13 2026 found 11648374 cycles, need 11460470 Fri Apr 17 20:41:16 2026 weight of 11460470 cycles is about 1260999975 (110.03/cycle) Fri Apr 17 20:41:16 2026 distribution of cycle lengths: Fri Apr 17 20:41:16 2026 1 relations: 893485 Fri Apr 17 20:41:16 2026 2 relations: 813390 Fri Apr 17 20:41:16 2026 3 relations: 870967 Fri Apr 17 20:41:16 2026 4 relations: 871507 Fri Apr 17 20:41:16 2026 5 relations: 882310 Fri Apr 17 20:41:16 2026 6 relations: 871156 Fri Apr 17 20:41:16 2026 7 relations: 846621 Fri Apr 17 20:41:16 2026 8 relations: 798169 Fri Apr 17 20:41:16 2026 9 relations: 737797 Fri Apr 17 20:41:16 2026 10+ relations: 3875068 Fri Apr 17 20:41:16 2026 heaviest cycle: 25 relations Fri Apr 17 20:41:18 2026 commencing cycle optimization Fri Apr 17 20:41:35 2026 start with 89867327 relations Fri Apr 17 20:43:24 2026 pruned 3135279 relations Fri Apr 17 20:43:25 2026 memory use: 2653.4 MB Fri Apr 17 20:43:25 2026 distribution of cycle lengths: Fri Apr 17 20:43:25 2026 1 relations: 893485 Fri Apr 17 20:43:25 2026 2 relations: 834473 Fri Apr 17 20:43:25 2026 3 relations: 904415 Fri Apr 17 20:43:25 2026 4 relations: 901628 Fri Apr 17 20:43:25 2026 5 relations: 919431 Fri Apr 17 20:43:25 2026 6 relations: 904158 Fri Apr 17 20:43:25 2026 7 relations: 879598 Fri Apr 17 20:43:25 2026 8 relations: 824511 Fri Apr 17 20:43:25 2026 9 relations: 760519 Fri Apr 17 20:43:25 2026 10+ relations: 3638252 Fri Apr 17 20:43:25 2026 heaviest cycle: 25 relations Fri Apr 17 20:43:40 2026 trying target density 130 Fri Apr 17 20:44:15 2026 removing 12426974 relations and 10426974 ideals in 2000000 cliques Fri Apr 17 20:44:18 2026 commencing in-memory singleton removal Fri Apr 17 20:44:19 2026 begin with 149407873 relations and 133044116 unique ideals Fri Apr 17 20:44:26 2026 reduce to 148652705 relations and 121849602 ideals in 8 passes Fri Apr 17 20:44:26 2026 max relations containing the same ideal: 149 Fri Apr 17 20:44:59 2026 removing 9433251 relations and 7433251 ideals in 2000000 cliques Fri Apr 17 20:45:01 2026 commencing in-memory singleton removal Fri Apr 17 20:45:03 2026 begin with 139219454 relations and 121849602 unique ideals Fri Apr 17 20:45:10 2026 reduce to 138723304 relations and 113913198 ideals in 8 passes Fri Apr 17 20:45:10 2026 max relations containing the same ideal: 142 Fri Apr 17 20:45:42 2026 removing 8522233 relations and 6522233 ideals in 2000000 cliques Fri Apr 17 20:45:44 2026 commencing in-memory singleton removal Fri Apr 17 20:45:45 2026 begin with 130201071 relations and 113913198 unique ideals Fri Apr 17 20:45:52 2026 reduce to 129764454 relations and 106948142 ideals in 8 passes Fri Apr 17 20:45:52 2026 max relations containing the same ideal: 136 Fri Apr 17 20:46:27 2026 removing 8049528 relations and 6049528 ideals in 2000000 cliques Fri Apr 17 20:46:30 2026 commencing in-memory singleton removal Fri Apr 17 20:46:31 2026 begin with 121714926 relations and 106948142 unique ideals Fri Apr 17 20:46:37 2026 reduce to 121299415 relations and 100477084 ideals in 7 passes Fri Apr 17 20:46:37 2026 max relations containing the same ideal: 130 Fri Apr 17 20:47:04 2026 removing 7760257 relations and 5760257 ideals in 2000000 cliques Fri Apr 17 20:47:06 2026 commencing in-memory singleton removal Fri Apr 17 20:47:07 2026 begin with 113539158 relations and 100477084 unique ideals Fri Apr 17 20:47:13 2026 reduce to 113130355 relations and 94301842 ideals in 8 passes Fri Apr 17 20:47:13 2026 max relations containing the same ideal: 125 Fri Apr 17 20:47:37 2026 removing 7573214 relations and 5573214 ideals in 2000000 cliques Fri Apr 17 20:47:39 2026 commencing in-memory singleton removal Fri Apr 17 20:47:40 2026 begin with 105557141 relations and 94301842 unique ideals Fri Apr 17 20:47:45 2026 reduce to 105143631 relations and 88308622 ideals in 8 passes Fri Apr 17 20:47:45 2026 max relations containing the same ideal: 117 Fri Apr 17 20:48:08 2026 removing 7454191 relations and 5454191 ideals in 2000000 cliques Fri Apr 17 20:48:10 2026 commencing in-memory singleton removal Fri Apr 17 20:48:11 2026 begin with 97689440 relations and 88308622 unique ideals Fri Apr 17 20:48:15 2026 reduce to 97260817 relations and 82418574 ideals in 7 passes Fri Apr 17 20:48:15 2026 max relations containing the same ideal: 114 Fri Apr 17 20:48:37 2026 removing 7379576 relations and 5379576 ideals in 2000000 cliques Fri Apr 17 20:48:39 2026 commencing in-memory singleton removal Fri Apr 17 20:48:40 2026 begin with 89881241 relations and 82418574 unique ideals Fri Apr 17 20:48:44 2026 reduce to 89431650 relations and 76581103 ideals in 8 passes Fri Apr 17 20:48:44 2026 max relations containing the same ideal: 109 Fri Apr 17 20:49:04 2026 removing 7352663 relations and 5352663 ideals in 2000000 cliques Fri Apr 17 20:49:06 2026 commencing in-memory singleton removal Fri Apr 17 20:49:06 2026 begin with 82078987 relations and 76581103 unique ideals Fri Apr 17 20:49:10 2026 reduce to 81593872 relations and 70733729 ideals in 7 passes Fri Apr 17 20:49:10 2026 max relations containing the same ideal: 103 Fri Apr 17 20:49:28 2026 removing 7358391 relations and 5358391 ideals in 2000000 cliques Fri Apr 17 20:49:30 2026 commencing in-memory singleton removal Fri Apr 17 20:49:31 2026 begin with 74235481 relations and 70733729 unique ideals Fri Apr 17 20:49:34 2026 reduce to 73704389 relations and 64832962 ideals in 8 passes Fri Apr 17 20:49:34 2026 max relations containing the same ideal: 96 Fri Apr 17 20:49:51 2026 removing 7401635 relations and 5401635 ideals in 2000000 cliques Fri Apr 17 20:49:53 2026 commencing in-memory singleton removal Fri Apr 17 20:49:53 2026 begin with 66302754 relations and 64832962 unique ideals Fri Apr 17 20:49:56 2026 reduce to 65703872 relations and 58818591 ideals in 8 passes Fri Apr 17 20:49:56 2026 max relations containing the same ideal: 88 Fri Apr 17 20:50:12 2026 removing 7487575 relations and 5487575 ideals in 2000000 cliques Fri Apr 17 20:50:14 2026 commencing in-memory singleton removal Fri Apr 17 20:50:14 2026 begin with 58216297 relations and 58818591 unique ideals Fri Apr 17 20:50:17 2026 reduce to 57521796 relations and 52618513 ideals in 9 passes Fri Apr 17 20:50:17 2026 max relations containing the same ideal: 82 Fri Apr 17 20:50:32 2026 removing 7629269 relations and 5629269 ideals in 2000000 cliques Fri Apr 17 20:50:33 2026 commencing in-memory singleton removal Fri Apr 17 20:50:34 2026 begin with 49892527 relations and 52618513 unique ideals Fri Apr 17 20:50:36 2026 reduce to 49043427 relations and 46114919 ideals in 9 passes Fri Apr 17 20:50:36 2026 max relations containing the same ideal: 75 Fri Apr 17 20:50:49 2026 removing 5439963 relations and 4194890 ideals in 1245073 cliques Fri Apr 17 20:50:51 2026 commencing in-memory singleton removal Fri Apr 17 20:50:51 2026 begin with 43603464 relations and 46114919 unique ideals Fri Apr 17 20:50:53 2026 reduce to 43105422 relations and 41410908 ideals in 11 passes Fri Apr 17 20:50:53 2026 max relations containing the same ideal: 66 Fri Apr 17 20:51:05 2026 removing 103584 relations and 92505 ideals in 11079 cliques Fri Apr 17 20:51:06 2026 commencing in-memory singleton removal Fri Apr 17 20:51:06 2026 begin with 43001838 relations and 41410908 unique ideals Fri Apr 17 20:51:07 2026 reduce to 43001672 relations and 41318237 ideals in 5 passes Fri Apr 17 20:51:07 2026 max relations containing the same ideal: 66 Fri Apr 17 20:51:10 2026 relations with 0 large ideals: 6142 Fri Apr 17 20:51:10 2026 relations with 1 large ideals: 60960 Fri Apr 17 20:51:10 2026 relations with 2 large ideals: 626422 Fri Apr 17 20:51:10 2026 relations with 3 large ideals: 2995067 Fri Apr 17 20:51:10 2026 relations with 4 large ideals: 7807730 Fri Apr 17 20:51:10 2026 relations with 5 large ideals: 11934859 Fri Apr 17 20:51:10 2026 relations with 6 large ideals: 11038850 Fri Apr 17 20:51:10 2026 relations with 7+ large ideals: 8531642 Fri Apr 17 20:51:10 2026 commencing 2-way merge Fri Apr 17 20:51:27 2026 reduce to 25969705 relation sets and 24286270 unique ideals Fri Apr 17 20:51:27 2026 commencing full merge Fri Apr 17 20:56:53 2026 memory use: 2703.5 MB Fri Apr 17 20:56:54 2026 found 10916446 cycles, need 10834470 Fri Apr 17 20:56:57 2026 weight of 10834470 cycles is about 1408858953 (130.03/cycle) Fri Apr 17 20:56:57 2026 distribution of cycle lengths: Fri Apr 17 20:56:57 2026 1 relations: 716645 Fri Apr 17 20:56:57 2026 2 relations: 638801 Fri Apr 17 20:56:57 2026 3 relations: 676756 Fri Apr 17 20:56:57 2026 4 relations: 687471 Fri Apr 17 20:56:57 2026 5 relations: 707589 Fri Apr 17 20:56:57 2026 6 relations: 702138 Fri Apr 17 20:56:57 2026 7 relations: 708729 Fri Apr 17 20:56:57 2026 8 relations: 675904 Fri Apr 17 20:56:57 2026 9 relations: 654760 Fri Apr 17 20:56:57 2026 10+ relations: 4665677 Fri Apr 17 20:56:57 2026 heaviest cycle: 28 relations Fri Apr 17 20:56:59 2026 commencing cycle optimization Fri Apr 17 20:57:17 2026 start with 99942498 relations Fri Apr 17 20:59:39 2026 pruned 4163866 relations Fri Apr 17 20:59:39 2026 memory use: 2751.7 MB Fri Apr 17 20:59:39 2026 distribution of cycle lengths: Fri Apr 17 20:59:39 2026 1 relations: 716645 Fri Apr 17 20:59:39 2026 2 relations: 655776 Fri Apr 17 20:59:39 2026 3 relations: 703903 Fri Apr 17 20:59:39 2026 4 relations: 713358 Fri Apr 17 20:59:39 2026 5 relations: 739827 Fri Apr 17 20:59:39 2026 6 relations: 734596 Fri Apr 17 20:59:39 2026 7 relations: 741169 Fri Apr 17 20:59:39 2026 8 relations: 707282 Fri Apr 17 20:59:39 2026 9 relations: 684642 Fri Apr 17 20:59:39 2026 10+ relations: 4437272 Fri Apr 17 20:59:39 2026 heaviest cycle: 28 relations Fri Apr 17 20:59:54 2026 RelProcTime: 3815 Fri Apr 17 20:59:54 2026 Fri Apr 17 20:59:54 2026 commencing linear algebra Fri Apr 17 20:59:54 2026 using VBITS=256 Fri Apr 17 20:59:54 2026 building matrices for all densities Fri Apr 17 20:59:54 2026 found 3 density files Fri Apr 17 20:59:54 2026 building matrix for density 90 Fri Apr 17 20:59:55 2026 read 12332470 cycles Fri Apr 17 21:00:08 2026 cycles contain 41839120 unique relations Fri Apr 17 21:00:32 2026 read 41839120 relations Fri Apr 17 21:00:39 2026 using 20 quadratic characters above 4294917295 Fri Apr 17 21:00:48 2026 building initial matrix Fri Apr 17 21:05:20 2026 memory use: 5741.2 MB Fri Apr 17 21:05:24 2026 read 12332470 cycles Fri Apr 17 21:05:25 2026 matrix is 12332285 x 12332470 (4625.3 MB) with weight 1425187352 (115.56/col) Fri Apr 17 21:05:25 2026 sparse part has weight 1064504792 (86.32/col) Fri Apr 17 21:06:42 2026 filtering completed in 2 passes Fri Apr 17 21:06:44 2026 matrix is 12324154 x 12324335 (4624.5 MB) with weight 1424843953 (115.61/col) Fri Apr 17 21:06:44 2026 sparse part has weight 1064398267 (86.37/col) Fri Apr 17 21:07:05 2026 building matrix for density 110 Fri Apr 17 21:07:06 2026 read 11460470 cycles Fri Apr 17 21:07:18 2026 cycles contain 41855931 unique relations Fri Apr 17 21:07:39 2026 read 41855931 relations Fri Apr 17 21:07:46 2026 using 20 quadratic characters above 4294917295 Fri Apr 17 21:07:55 2026 building initial matrix Fri Apr 17 21:12:51 2026 memory use: 5752.7 MB Fri Apr 17 21:12:54 2026 read 11460470 cycles Fri Apr 17 21:12:56 2026 matrix is 11460283 x 11460470 (5062.4 MB) with weight 1545236740 (134.83/col) Fri Apr 17 21:12:56 2026 sparse part has weight 1189542663 (103.80/col) Fri Apr 17 21:14:19 2026 filtering completed in 2 passes Fri Apr 17 21:14:21 2026 matrix is 11456655 x 11456842 (5061.9 MB) with weight 1545053707 (134.86/col) Fri Apr 17 21:14:21 2026 sparse part has weight 1189476615 (103.82/col) Fri Apr 17 21:14:41 2026 building matrix for density 130 Fri Apr 17 21:14:42 2026 read 10834470 cycles Fri Apr 17 21:14:55 2026 cycles contain 41859438 unique relations Fri Apr 17 21:15:16 2026 read 41859438 relations Fri Apr 17 21:15:23 2026 using 20 quadratic characters above 4294917295 Fri Apr 17 21:15:32 2026 building initial matrix Fri Apr 17 21:21:10 2026 memory use: 5768.5 MB Fri Apr 17 21:21:13 2026 read 10834470 cycles Fri Apr 17 21:21:15 2026 matrix is 10834293 x 10834470 (5491.3 MB) with weight 1661908437 (153.39/col) Fri Apr 17 21:21:15 2026 sparse part has weight 1309510800 (120.87/col) Fri Apr 17 21:22:28 2026 filtering completed in 2 passes Fri Apr 17 21:22:30 2026 matrix is 10833306 x 10833483 (5491.2 MB) with weight 1661856568 (153.40/col) Fri Apr 17 21:22:30 2026 sparse part has weight 1309493280 (120.87/col) Fri Apr 17 21:22:54 2026 BLanczosTime: 1380 Fri Apr 17 21:22:54 2026 elapsed time 01:26:35 Sat Apr 18 10:24:10 2026 Sat Apr 18 10:24:10 2026 Sat Apr 18 10:24:10 2026 Msieve v. 1.54 (SVN unknown) Sat Apr 18 10:24:10 2026 random seeds: 44210e82 20ebc5c7 Sat Apr 18 10:24:10 2026 Using 12 OpenMP threads Sat Apr 18 10:24:10 2026 factoring 1298333010709451369872328295685368078482454400783613682036089020921851567094337836519843365240713583630441889928685249394439986477150645545131619646493248760049053000878918183 (175 digits) Sat Apr 18 10:24:10 2026 no P-1/P+1/ECM available, skipping Sat Apr 18 10:24:10 2026 commencing number field sieve (175-digit input) Sat Apr 18 10:24:10 2026 R0: -12295738456360951186784317848126559 Sat Apr 18 10:24:10 2026 R1: 1505764708880592240767 Sat Apr 18 10:24:10 2026 A0: -10228347112003497280123241428016903116236240 Sat Apr 18 10:24:10 2026 A1: 1401248575314610457036485328340248856 Sat Apr 18 10:24:10 2026 A2: 46413760023930585355148264636 Sat Apr 18 10:24:10 2026 A3: 104266535533189147520 Sat Apr 18 10:24:10 2026 A4: -2515561965367 Sat Apr 18 10:24:10 2026 A5: 4620 Sat Apr 18 10:24:10 2026 skew 131009294.15, size 7.196e-17, alpha -7.514, combined = 2.371e-13 rroots = 5 Sat Apr 18 10:24:10 2026 Sat Apr 18 10:24:10 2026 commencing linear algebra Sat Apr 18 10:24:10 2026 using VBITS=256 Sat Apr 18 10:24:10 2026 selecting density 110 for linear algebra Sat Apr 18 10:24:40 2026 matrix starts at (0, 0) Sat Apr 18 10:24:41 2026 matrix is 11456655 x 11456842 (5061.9 MB) with weight 1545053707 (134.86/col) Sat Apr 18 10:24:41 2026 sparse part has weight 1189476615 (103.82/col) Sat Apr 18 10:24:41 2026 saving the first 240 matrix rows for later Sat Apr 18 10:24:42 2026 matrix includes 256 packed rows Sat Apr 18 10:24:45 2026 matrix is 11456415 x 11456842 (4601.8 MB) with weight 1089770459 (95.12/col) Sat Apr 18 10:24:45 2026 sparse part has weight 1023014209 (89.29/col) Sat Apr 18 10:24:45 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Sat Apr 18 10:24:45 2026 selected card has CUDA arch 12.0 Sat Apr 18 10:27:35 2026 commencing Lanczos iteration Sat Apr 18 10:27:36 2026 memory use: 10689.5 MB Sat Apr 18 10:28:10 2026 linear algebra at 0.3%, ETA 3h25m Sat Apr 18 10:29:02 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions Sat Apr 18 15:22:26 2026 lanczos halted after 44888 iterations (dim = 11456415) Sat Apr 18 15:22:54 2026 recovered 30 nontrivial dependencies Sat Apr 18 15:22:55 2026 BLanczosTime: 17925 Sat Apr 18 15:22:55 2026 Sat Apr 18 15:22:55 2026 commencing square root phase Sat Apr 18 15:22:55 2026 handling dependencies 1 to 64 Sat Apr 18 15:22:55 2026 reading relations for dependency 1 Sat Apr 18 15:23:22 2026 read 5732571 cycles Sat Apr 18 15:23:30 2026 cycles contain 20929404 unique relations Sat Apr 18 15:27:25 2026 read 20929404 relations Sat Apr 18 15:28:19 2026 multiplying 20929404 relations Sat Apr 18 15:29:49 2026 multiply complete, coefficients have about 1095.64 million bits Sat Apr 18 15:29:51 2026 initial square root is modulo 82207 Sat Apr 18 15:33:13 2026 sqrtTime: 618 Sat Apr 18 15:33:13 2026 p62 factor: 38639431323265420288907149122980919804025481246033238971284657 Sat Apr 18 15:33:13 2026 p113 factor: 33601245314594065347893079498763168947607604589824541216781570127901134820019123390267492799002716423905926892119 Sat Apr 18 15:33:13 2026 elapsed time 05:09:03