Wed Apr 15 16:01:16 2026 Wed Apr 15 16:01:16 2026 Wed Apr 15 16:01:16 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 15 16:01:16 2026 random seeds: fb402e0c 018fd51f Wed Apr 15 16:01:16 2026 Using 8 OpenMP threads Wed Apr 15 16:01:16 2026 factoring 6030851656892558503412377758741919079208214791539809338574056606316207756064054456887714337320383024444255015463949097466660015079498366441356749750710983991188070806191051272980423082443906879339082277924218183021139611 (220 digits) Wed Apr 15 16:01:16 2026 searching for 15-digit factors Wed Apr 15 16:01:16 2026 commencing number field sieve (220-digit input) Wed Apr 15 16:01:16 2026 R0: 85763969893334762150390317332843229231101925764420512683 Wed Apr 15 16:01:16 2026 R1: -1 Wed Apr 15 16:01:16 2026 A0: 1 Wed Apr 15 16:01:16 2026 A1: 1 Wed Apr 15 16:01:16 2026 A2: 1 Wed Apr 15 16:01:16 2026 A3: 1 Wed Apr 15 16:01:16 2026 A4: 1 Wed Apr 15 16:01:16 2026 skew 1.96, size 8.663e-23, alpha 1.694, combined = 1.410e-13 rroots = 0 Wed Apr 15 16:01:16 2026 Wed Apr 15 16:01:16 2026 commencing relation filtering Wed Apr 15 16:01:16 2026 target densities: 80 100 120 Wed Apr 15 16:01:16 2026 estimated available RAM is 78540.1 MB Wed Apr 15 16:01:16 2026 commencing duplicate removal, pass 1 Wed Apr 15 16:05:34 2026 error -1 reading relation 116953331 Wed Apr 15 16:06:02 2026 error -1 reading relation 130698572 Wed Apr 15 16:06:34 2026 error -1 reading relation 144572176 Wed Apr 15 16:08:04 2026 error -1 reading relation 184025592 Wed Apr 15 16:09:14 2026 error -1 reading relation 215179532 Wed Apr 15 16:09:27 2026 error -1 reading relation 221318455 Wed Apr 15 16:09:31 2026 error -1 reading relation 222938856 Wed Apr 15 16:09:33 2026 error -5 reading relation 223728459 Wed Apr 15 16:09:49 2026 error -1 reading relation 230969531 Wed Apr 15 16:09:51 2026 error -1 reading relation 231956197 Wed Apr 15 16:09:51 2026 error -1 reading relation 232004504 Wed Apr 15 16:12:57 2026 error -1 reading relation 319432656 Wed Apr 15 16:13:21 2026 error -1 reading relation 331561301 Wed Apr 15 16:13:44 2026 skipped 1414 relations with b > 2^32 Wed Apr 15 16:13:44 2026 skipped 1 relations with composite factors Wed Apr 15 16:13:44 2026 skipped 93 malformed relations Wed Apr 15 16:13:44 2026 found 48034518 hash collisions in 342466649 relations Wed Apr 15 16:13:48 2026 added 3657741 free relations Wed Apr 15 16:13:48 2026 commencing duplicate removal, pass 2 Wed Apr 15 16:16:15 2026 found 43716058 duplicates and 302408332 unique relations Wed Apr 15 16:16:15 2026 memory use: 1705.5 MB Wed Apr 15 16:16:15 2026 reading ideals above 720000 Wed Apr 15 16:16:15 2026 commencing singleton removal, initial pass Wed Apr 15 16:35:49 2026 memory use: 6024.0 MB Wed Apr 15 16:35:50 2026 reading all ideals from disk Wed Apr 15 16:36:18 2026 memory use: 14397.2 MB Wed Apr 15 16:36:35 2026 keeping 256708790 ideals with weight <= 200, target excess is 1549778 Wed Apr 15 16:36:58 2026 commencing in-memory singleton removal Wed Apr 15 16:37:01 2026 begin with 302408332 relations and 256708790 unique ideals Wed Apr 15 16:37:26 2026 reduce to 210077286 relations and 156240043 ideals in 13 passes Wed Apr 15 16:37:26 2026 max relations containing the same ideal: 165 Wed Apr 15 16:38:14 2026 removing 10692813 relations and 8692813 ideals in 2000000 cliques Wed Apr 15 16:38:17 2026 commencing in-memory singleton removal Wed Apr 15 16:38:20 2026 begin with 199384473 relations and 156240043 unique ideals Wed Apr 15 16:38:33 2026 reduce to 198956489 relations and 147113693 ideals in 9 passes Wed Apr 15 16:38:33 2026 max relations containing the same ideal: 162 Wed Apr 15 16:39:17 2026 removing 8162753 relations and 6162753 ideals in 2000000 cliques Wed Apr 15 16:39:20 2026 commencing in-memory singleton removal Wed Apr 15 16:39:22 2026 begin with 190793736 relations and 147113693 unique ideals Wed Apr 15 16:39:32 2026 reduce to 190509075 relations and 140663143 ideals in 7 passes Wed Apr 15 16:39:32 2026 max relations containing the same ideal: 156 Wed Apr 15 16:40:13 2026 removing 7397589 relations and 5397589 ideals in 2000000 cliques Wed Apr 15 16:40:16 2026 commencing in-memory singleton removal Wed Apr 15 16:40:18 2026 begin with 183111486 relations and 140663143 unique ideals Wed Apr 15 16:40:26 2026 reduce to 182867369 relations and 135018730 ideals in 6 passes Wed Apr 15 16:40:26 2026 max relations containing the same ideal: 154 Wed Apr 15 16:41:07 2026 removing 6986880 relations and 4986880 ideals in 2000000 cliques Wed Apr 15 16:41:09 2026 commencing in-memory singleton removal Wed Apr 15 16:41:11 2026 begin with 175880489 relations and 135018730 unique ideals Wed Apr 15 16:41:19 2026 reduce to 175655743 relations and 129804606 ideals in 6 passes Wed Apr 15 16:41:19 2026 max relations containing the same ideal: 151 Wed Apr 15 16:41:59 2026 removing 6717978 relations and 4717978 ideals in 2000000 cliques Wed Apr 15 16:42:01 2026 commencing in-memory singleton removal Wed Apr 15 16:42:03 2026 begin with 168937765 relations and 129804606 unique ideals Wed Apr 15 16:42:14 2026 reduce to 168724572 relations and 124871062 ideals in 9 passes Wed Apr 15 16:42:14 2026 max relations containing the same ideal: 149 Wed Apr 15 16:42:54 2026 removing 6531379 relations and 4531379 ideals in 2000000 cliques Wed Apr 15 16:42:56 2026 commencing in-memory singleton removal Wed Apr 15 16:42:58 2026 begin with 162193193 relations and 124871062 unique ideals Wed Apr 15 16:43:07 2026 reduce to 161986819 relations and 120130915 ideals in 7 passes Wed Apr 15 16:43:07 2026 max relations containing the same ideal: 141 Wed Apr 15 16:43:45 2026 removing 6388743 relations and 4388743 ideals in 2000000 cliques Wed Apr 15 16:43:48 2026 commencing in-memory singleton removal Wed Apr 15 16:43:50 2026 begin with 155598076 relations and 120130915 unique ideals Wed Apr 15 16:43:57 2026 reduce to 155396943 relations and 115538609 ideals in 6 passes Wed Apr 15 16:43:57 2026 max relations containing the same ideal: 138 Wed Apr 15 16:44:42 2026 removing 6282554 relations and 4282554 ideals in 2000000 cliques Wed Apr 15 16:44:45 2026 commencing in-memory singleton removal Wed Apr 15 16:44:47 2026 begin with 149114389 relations and 115538609 unique ideals Wed Apr 15 16:44:58 2026 reduce to 148915254 relations and 111054380 ideals in 6 passes Wed Apr 15 16:44:58 2026 max relations containing the same ideal: 133 Wed Apr 15 16:45:41 2026 removing 6193790 relations and 4193790 ideals in 2000000 cliques Wed Apr 15 16:45:44 2026 commencing in-memory singleton removal Wed Apr 15 16:45:45 2026 begin with 142721464 relations and 111054380 unique ideals Wed Apr 15 16:45:56 2026 reduce to 142521325 relations and 106657874 ideals in 6 passes Wed Apr 15 16:45:56 2026 max relations containing the same ideal: 128 Wed Apr 15 16:46:38 2026 removing 6124390 relations and 4124390 ideals in 2000000 cliques Wed Apr 15 16:46:40 2026 commencing in-memory singleton removal Wed Apr 15 16:46:42 2026 begin with 136396935 relations and 106657874 unique ideals Wed Apr 15 16:46:52 2026 reduce to 136196483 relations and 102330239 ideals in 6 passes Wed Apr 15 16:46:52 2026 max relations containing the same ideal: 124 Wed Apr 15 16:47:31 2026 removing 6067417 relations and 4067417 ideals in 2000000 cliques Wed Apr 15 16:47:34 2026 commencing in-memory singleton removal Wed Apr 15 16:47:35 2026 begin with 130129066 relations and 102330239 unique ideals Wed Apr 15 16:47:44 2026 reduce to 129927081 relations and 98057819 ideals in 6 passes Wed Apr 15 16:47:44 2026 max relations containing the same ideal: 121 Wed Apr 15 16:48:24 2026 removing 6021096 relations and 4021096 ideals in 2000000 cliques Wed Apr 15 16:48:26 2026 commencing in-memory singleton removal Wed Apr 15 16:48:28 2026 begin with 123905985 relations and 98057819 unique ideals Wed Apr 15 16:48:37 2026 reduce to 123698710 relations and 93826209 ideals in 6 passes Wed Apr 15 16:48:37 2026 max relations containing the same ideal: 117 Wed Apr 15 16:49:15 2026 removing 5989753 relations and 3989753 ideals in 2000000 cliques Wed Apr 15 16:49:18 2026 commencing in-memory singleton removal Wed Apr 15 16:49:19 2026 begin with 117708957 relations and 93826209 unique ideals Wed Apr 15 16:49:27 2026 reduce to 117496078 relations and 89620235 ideals in 6 passes Wed Apr 15 16:49:27 2026 max relations containing the same ideal: 114 Wed Apr 15 16:50:02 2026 removing 5966994 relations and 3966994 ideals in 2000000 cliques Wed Apr 15 16:50:04 2026 commencing in-memory singleton removal Wed Apr 15 16:50:05 2026 begin with 111529084 relations and 89620235 unique ideals Wed Apr 15 16:50:15 2026 reduce to 111308788 relations and 85429234 ideals in 7 passes Wed Apr 15 16:50:15 2026 max relations containing the same ideal: 111 Wed Apr 15 16:50:51 2026 removing 5948445 relations and 3948445 ideals in 2000000 cliques Wed Apr 15 16:50:53 2026 commencing in-memory singleton removal Wed Apr 15 16:50:54 2026 begin with 105360343 relations and 85429234 unique ideals Wed Apr 15 16:51:02 2026 reduce to 105130195 relations and 81246673 ideals in 6 passes Wed Apr 15 16:51:02 2026 max relations containing the same ideal: 108 Wed Apr 15 16:51:34 2026 removing 5939868 relations and 3939868 ideals in 2000000 cliques Wed Apr 15 16:51:36 2026 commencing in-memory singleton removal Wed Apr 15 16:51:37 2026 begin with 99190327 relations and 81246673 unique ideals Wed Apr 15 16:51:44 2026 reduce to 98949193 relations and 77061247 ideals in 6 passes Wed Apr 15 16:51:44 2026 max relations containing the same ideal: 103 Wed Apr 15 16:52:15 2026 removing 5941894 relations and 3941894 ideals in 2000000 cliques Wed Apr 15 16:52:17 2026 commencing in-memory singleton removal Wed Apr 15 16:52:18 2026 begin with 93007299 relations and 77061247 unique ideals Wed Apr 15 16:52:26 2026 reduce to 92751919 relations and 72859065 ideals in 7 passes Wed Apr 15 16:52:26 2026 max relations containing the same ideal: 99 Wed Apr 15 16:52:54 2026 removing 5951658 relations and 3951658 ideals in 2000000 cliques Wed Apr 15 16:52:56 2026 commencing in-memory singleton removal Wed Apr 15 16:52:57 2026 begin with 86800261 relations and 72859065 unique ideals Wed Apr 15 16:53:04 2026 reduce to 86528143 relations and 68629619 ideals in 7 passes Wed Apr 15 16:53:04 2026 max relations containing the same ideal: 90 Wed Apr 15 16:53:29 2026 removing 5976572 relations and 3976572 ideals in 2000000 cliques Wed Apr 15 16:53:31 2026 commencing in-memory singleton removal Wed Apr 15 16:53:32 2026 begin with 80551571 relations and 68629619 unique ideals Wed Apr 15 16:53:37 2026 reduce to 80257940 relations and 64353033 ideals in 6 passes Wed Apr 15 16:53:37 2026 max relations containing the same ideal: 88 Wed Apr 15 16:53:59 2026 removing 6007412 relations and 4007412 ideals in 2000000 cliques Wed Apr 15 16:54:00 2026 commencing in-memory singleton removal Wed Apr 15 16:54:01 2026 begin with 74250528 relations and 64353033 unique ideals Wed Apr 15 16:54:04 2026 reduce to 73928985 relations and 60016548 ideals in 7 passes Wed Apr 15 16:54:04 2026 max relations containing the same ideal: 82 Wed Apr 15 16:54:24 2026 removing 6056029 relations and 4056029 ideals in 2000000 cliques Wed Apr 15 16:54:26 2026 commencing in-memory singleton removal Wed Apr 15 16:54:26 2026 begin with 67872956 relations and 60016548 unique ideals Wed Apr 15 16:54:30 2026 reduce to 67515277 relations and 55594076 ideals in 7 passes Wed Apr 15 16:54:30 2026 max relations containing the same ideal: 81 Wed Apr 15 16:54:50 2026 removing 6120045 relations and 4120045 ideals in 2000000 cliques Wed Apr 15 16:54:51 2026 commencing in-memory singleton removal Wed Apr 15 16:54:52 2026 begin with 61395232 relations and 55594076 unique ideals Wed Apr 15 16:54:57 2026 reduce to 60994143 relations and 51062213 ideals in 7 passes Wed Apr 15 16:54:57 2026 max relations containing the same ideal: 77 Wed Apr 15 16:55:16 2026 removing 6212154 relations and 4212154 ideals in 2000000 cliques Wed Apr 15 16:55:17 2026 commencing in-memory singleton removal Wed Apr 15 16:55:18 2026 begin with 54781989 relations and 51062213 unique ideals Wed Apr 15 16:55:23 2026 reduce to 54319647 relations and 46374491 ideals in 8 passes Wed Apr 15 16:55:23 2026 max relations containing the same ideal: 66 Wed Apr 15 16:55:40 2026 removing 6329991 relations and 4329991 ideals in 2000000 cliques Wed Apr 15 16:55:42 2026 commencing in-memory singleton removal Wed Apr 15 16:55:42 2026 begin with 47989656 relations and 46374491 unique ideals Wed Apr 15 16:55:46 2026 reduce to 47443627 relations and 41480739 ideals in 8 passes Wed Apr 15 16:55:46 2026 max relations containing the same ideal: 62 Wed Apr 15 16:56:01 2026 removing 6483723 relations and 4483723 ideals in 2000000 cliques Wed Apr 15 16:56:02 2026 commencing in-memory singleton removal Wed Apr 15 16:56:03 2026 begin with 40959904 relations and 41480739 unique ideals Wed Apr 15 16:56:06 2026 reduce to 40291456 relations and 36304222 ideals in 8 passes Wed Apr 15 16:56:06 2026 max relations containing the same ideal: 57 Wed Apr 15 16:56:19 2026 removing 6679700 relations and 4679700 ideals in 2000000 cliques Wed Apr 15 16:56:21 2026 commencing in-memory singleton removal Wed Apr 15 16:56:21 2026 begin with 33611756 relations and 36304222 unique ideals Wed Apr 15 16:56:24 2026 reduce to 32753324 relations and 30729576 ideals in 9 passes Wed Apr 15 16:56:24 2026 max relations containing the same ideal: 50 Wed Apr 15 16:56:34 2026 removing 1216250 relations and 990245 ideals in 226005 cliques Wed Apr 15 16:56:35 2026 commencing in-memory singleton removal Wed Apr 15 16:56:35 2026 begin with 31537074 relations and 30729576 unique ideals Wed Apr 15 16:56:37 2026 reduce to 31503483 relations and 29705517 ideals in 6 passes Wed Apr 15 16:56:37 2026 max relations containing the same ideal: 49 Wed Apr 15 16:56:50 2026 relations with 0 large ideals: 123258 Wed Apr 15 16:56:50 2026 relations with 1 large ideals: 51077 Wed Apr 15 16:56:50 2026 relations with 2 large ideals: 544928 Wed Apr 15 16:56:50 2026 relations with 3 large ideals: 2555522 Wed Apr 15 16:56:50 2026 relations with 4 large ideals: 6337402 Wed Apr 15 16:56:50 2026 relations with 5 large ideals: 9745458 Wed Apr 15 16:56:50 2026 relations with 6 large ideals: 7217342 Wed Apr 15 16:56:50 2026 relations with 7+ large ideals: 4928496 Wed Apr 15 16:56:50 2026 commencing 2-way merge Wed Apr 15 16:57:03 2026 reduce to 19728697 relation sets and 17930731 unique ideals Wed Apr 15 16:57:05 2026 Wed Apr 15 16:57:05 2026 trying target density 80 Wed Apr 15 16:57:05 2026 commencing full merge Wed Apr 15 17:00:32 2026 memory use: 2172.2 MB Wed Apr 15 17:00:34 2026 found 10058792 cycles, need 9814931 Wed Apr 15 17:00:36 2026 weight of 9814931 cycles is about 785216362 (80.00/cycle) Wed Apr 15 17:00:36 2026 distribution of cycle lengths: Wed Apr 15 17:00:36 2026 1 relations: 1056443 Wed Apr 15 17:00:36 2026 2 relations: 933406 Wed Apr 15 17:00:36 2026 3 relations: 906287 Wed Apr 15 17:00:36 2026 4 relations: 913705 Wed Apr 15 17:00:36 2026 5 relations: 898371 Wed Apr 15 17:00:36 2026 6 relations: 863631 Wed Apr 15 17:00:36 2026 7 relations: 803266 Wed Apr 15 17:00:36 2026 8 relations: 718498 Wed Apr 15 17:00:36 2026 9 relations: 622131 Wed Apr 15 17:00:36 2026 10+ relations: 2099193 Wed Apr 15 17:00:36 2026 heaviest cycle: 23 relations Wed Apr 15 17:00:38 2026 target density 80 succeeded, avg weight 80.00 Wed Apr 15 17:00:38 2026 commencing cycle optimization Wed Apr 15 17:00:51 2026 start with 61642680 relations Wed Apr 15 17:02:01 2026 pruned 1998609 relations Wed Apr 15 17:02:01 2026 memory use: 1902.5 MB Wed Apr 15 17:02:01 2026 distribution of cycle lengths: Wed Apr 15 17:02:01 2026 1 relations: 1056443 Wed Apr 15 17:02:01 2026 2 relations: 950585 Wed Apr 15 17:02:01 2026 3 relations: 938662 Wed Apr 15 17:02:01 2026 4 relations: 945460 Wed Apr 15 17:02:01 2026 5 relations: 937373 Wed Apr 15 17:02:01 2026 6 relations: 897480 Wed Apr 15 17:02:01 2026 7 relations: 834042 Wed Apr 15 17:02:01 2026 8 relations: 737206 Wed Apr 15 17:02:01 2026 9 relations: 632567 Wed Apr 15 17:02:01 2026 10+ relations: 1885113 Wed Apr 15 17:02:01 2026 heaviest cycle: 23 relations Wed Apr 15 17:02:14 2026 Wed Apr 15 17:02:14 2026 trying target density 100 Wed Apr 15 17:02:14 2026 commencing full merge Wed Apr 15 17:06:29 2026 memory use: 2242.5 MB Wed Apr 15 17:06:31 2026 found 9332273 cycles, need 9120931 Wed Apr 15 17:06:33 2026 weight of 9120931 cycles is about 912483309 (100.04/cycle) Wed Apr 15 17:06:33 2026 distribution of cycle lengths: Wed Apr 15 17:06:33 2026 1 relations: 744255 Wed Apr 15 17:06:33 2026 2 relations: 674792 Wed Apr 15 17:06:33 2026 3 relations: 676834 Wed Apr 15 17:06:33 2026 4 relations: 681914 Wed Apr 15 17:06:33 2026 5 relations: 683550 Wed Apr 15 17:06:33 2026 6 relations: 680129 Wed Apr 15 17:06:33 2026 7 relations: 662962 Wed Apr 15 17:06:33 2026 8 relations: 630131 Wed Apr 15 17:06:33 2026 9 relations: 586835 Wed Apr 15 17:06:33 2026 10+ relations: 3099529 Wed Apr 15 17:06:33 2026 heaviest cycle: 27 relations Wed Apr 15 17:06:35 2026 target density 100 succeeded, avg weight 100.04 Wed Apr 15 17:06:35 2026 commencing cycle optimization Wed Apr 15 17:06:48 2026 start with 71296547 relations Wed Apr 15 17:08:34 2026 pruned 2948412 relations Wed Apr 15 17:08:34 2026 memory use: 2002.5 MB Wed Apr 15 17:08:34 2026 distribution of cycle lengths: Wed Apr 15 17:08:34 2026 1 relations: 744255 Wed Apr 15 17:08:35 2026 2 relations: 687768 Wed Apr 15 17:08:35 2026 3 relations: 701997 Wed Apr 15 17:08:35 2026 4 relations: 707845 Wed Apr 15 17:08:35 2026 5 relations: 717418 Wed Apr 15 17:08:35 2026 6 relations: 713915 Wed Apr 15 17:08:35 2026 7 relations: 698108 Wed Apr 15 17:08:35 2026 8 relations: 660209 Wed Apr 15 17:08:35 2026 9 relations: 613432 Wed Apr 15 17:08:35 2026 10+ relations: 2875984 Wed Apr 15 17:08:35 2026 heaviest cycle: 27 relations Wed Apr 15 17:08:49 2026 Wed Apr 15 17:08:49 2026 trying target density 120 Wed Apr 15 17:08:49 2026 commencing full merge Wed Apr 15 17:13:51 2026 memory use: 2274.9 MB Wed Apr 15 17:13:52 2026 found 8748029 cycles, need 8632931 Wed Apr 15 17:13:54 2026 weight of 8632931 cycles is about 1036294656 (120.04/cycle) Wed Apr 15 17:13:55 2026 distribution of cycle lengths: Wed Apr 15 17:13:55 2026 1 relations: 530960 Wed Apr 15 17:13:55 2026 2 relations: 513288 Wed Apr 15 17:13:55 2026 3 relations: 534841 Wed Apr 15 17:13:55 2026 4 relations: 544356 Wed Apr 15 17:13:55 2026 5 relations: 549467 Wed Apr 15 17:13:55 2026 6 relations: 552418 Wed Apr 15 17:13:55 2026 7 relations: 551377 Wed Apr 15 17:13:55 2026 8 relations: 541768 Wed Apr 15 17:13:55 2026 9 relations: 519510 Wed Apr 15 17:13:55 2026 10+ relations: 3794946 Wed Apr 15 17:13:55 2026 heaviest cycle: 28 relations Wed Apr 15 17:13:56 2026 target density 120 succeeded, avg weight 120.04 Wed Apr 15 17:13:56 2026 commencing cycle optimization Wed Apr 15 17:14:12 2026 start with 80550115 relations Wed Apr 15 17:16:40 2026 pruned 3944848 relations Wed Apr 15 17:16:40 2026 memory use: 2096.7 MB Wed Apr 15 17:16:40 2026 distribution of cycle lengths: Wed Apr 15 17:16:40 2026 1 relations: 530960 Wed Apr 15 17:16:40 2026 2 relations: 523535 Wed Apr 15 17:16:40 2026 3 relations: 555430 Wed Apr 15 17:16:40 2026 4 relations: 566207 Wed Apr 15 17:16:40 2026 5 relations: 578310 Wed Apr 15 17:16:40 2026 6 relations: 582473 Wed Apr 15 17:16:40 2026 7 relations: 585362 Wed Apr 15 17:16:40 2026 8 relations: 573329 Wed Apr 15 17:16:40 2026 9 relations: 551061 Wed Apr 15 17:16:40 2026 10+ relations: 3586264 Wed Apr 15 17:16:40 2026 heaviest cycle: 28 relations Wed Apr 15 17:16:52 2026 RelProcTime: 4536 Wed Apr 15 17:16:52 2026 Wed Apr 15 17:16:52 2026 commencing linear algebra Wed Apr 15 17:16:52 2026 using VBITS=256 Wed Apr 15 17:16:52 2026 building matrices for all .cyc.## files Wed Apr 15 17:16:52 2026 Wed Apr 15 17:16:52 2026 building matrix for density 100 Wed Apr 15 17:16:53 2026 read 9120931 cycles Wed Apr 15 17:17:04 2026 cycles contain 30517300 unique relations Wed Apr 15 17:21:28 2026 read 30517300 relations Wed Apr 15 17:21:37 2026 using 20 quadratic characters above 4294917295 Wed Apr 15 17:21:49 2026 building initial matrix Wed Apr 15 17:25:50 2026 memory use: 3737.5 MB Wed Apr 15 17:25:52 2026 read 9120931 cycles Wed Apr 15 17:25:54 2026 matrix is 9120749 x 9120931 (3671.8 MB) with weight 1054482206 (115.61/col) Wed Apr 15 17:25:54 2026 sparse part has weight 862215557 (94.53/col) Wed Apr 15 17:26:55 2026 filtering completed in 2 passes Wed Apr 15 17:26:57 2026 matrix is 9118996 x 9119160 (3671.6 MB) with weight 1054410305 (115.63/col) Wed Apr 15 17:26:57 2026 sparse part has weight 862181167 (94.55/col) Wed Apr 15 17:27:10 2026 Wed Apr 15 17:27:10 2026 building matrix for density 120 Wed Apr 15 17:27:11 2026 read 8632931 cycles Wed Apr 15 17:27:23 2026 cycles contain 30518469 unique relations Wed Apr 15 17:28:51 2026 read 30518469 relations Wed Apr 15 17:29:01 2026 using 20 quadratic characters above 4294917295 Wed Apr 15 17:29:16 2026 building initial matrix Wed Apr 15 17:33:55 2026 memory use: 3754.3 MB Wed Apr 15 17:33:58 2026 read 8632931 cycles Wed Apr 15 17:33:59 2026 matrix is 8632754 x 8632931 (4047.5 MB) with weight 1156708957 (133.99/col) Wed Apr 15 17:33:59 2026 sparse part has weight 966069382 (111.91/col) Wed Apr 15 17:35:13 2026 filtering completed in 2 passes Wed Apr 15 17:35:15 2026 matrix is 8632154 x 8632313 (4047.4 MB) with weight 1156682731 (133.99/col) Wed Apr 15 17:35:15 2026 sparse part has weight 966056997 (111.91/col) Wed Apr 15 17:35:30 2026 Wed Apr 15 17:35:30 2026 building matrix for density 80 Wed Apr 15 17:35:32 2026 read 9814931 cycles Wed Apr 15 17:35:44 2026 cycles contain 30500169 unique relations Wed Apr 15 17:36:30 2026 read 30500169 relations Wed Apr 15 17:36:37 2026 using 20 quadratic characters above 4294917295 Wed Apr 15 17:36:51 2026 building initial matrix Wed Apr 15 17:40:20 2026 memory use: 3723.6 MB Wed Apr 15 17:40:22 2026 read 9814931 cycles Wed Apr 15 17:40:23 2026 matrix is 9814750 x 9814931 (3287.0 MB) with weight 949036001 (96.69/col) Wed Apr 15 17:40:23 2026 sparse part has weight 753703294 (76.79/col) Wed Apr 15 17:41:47 2026 filtering completed in 2 passes Wed Apr 15 17:41:49 2026 matrix is 9811036 x 9811199 (3286.6 MB) with weight 948911261 (96.72/col) Wed Apr 15 17:41:49 2026 sparse part has weight 753650586 (76.82/col) Wed Apr 15 17:42:09 2026 BLanczosTime: 1517 Wed Apr 15 17:42:09 2026 elapsed time 01:40:53 Wed Apr 15 17:46:22 2026 Wed Apr 15 17:46:22 2026 Wed Apr 15 17:46:22 2026 Msieve v. 1.54 (SVN Unversioned directory) Wed Apr 15 17:46:22 2026 random seeds: ea65d537 8d57adf8 Wed Apr 15 17:46:22 2026 Using 8 OpenMP threads Wed Apr 15 17:46:22 2026 factoring 6030851656892558503412377758741919079208214791539809338574056606316207756064054456887714337320383024444255015463949097466660015079498366441356749750710983991188070806191051272980423082443906879339082277924218183021139611 (220 digits) Wed Apr 15 17:46:23 2026 searching for 15-digit factors Wed Apr 15 17:46:23 2026 commencing number field sieve (220-digit input) Wed Apr 15 17:46:23 2026 R0: 85763969893334762150390317332843229231101925764420512683 Wed Apr 15 17:46:23 2026 R1: -1 Wed Apr 15 17:46:23 2026 A0: 1 Wed Apr 15 17:46:23 2026 A1: 1 Wed Apr 15 17:46:23 2026 A2: 1 Wed Apr 15 17:46:23 2026 A3: 1 Wed Apr 15 17:46:23 2026 A4: 1 Wed Apr 15 17:46:23 2026 skew 1.96, size 8.663e-23, alpha 1.694, combined = 1.410e-13 rroots = 0 Wed Apr 15 17:46:23 2026 Wed Apr 15 17:46:23 2026 commencing linear algebra Wed Apr 15 17:46:23 2026 using VBITS=256 Wed Apr 15 17:46:23 2026 selected density 120 for linear algebra Wed Apr 15 17:46:27 2026 matrix starts at (0, 0) Wed Apr 15 17:46:28 2026 matrix is 8632154 x 8632313 (4047.4 MB) with weight 1156682731 (133.99/col) Wed Apr 15 17:46:28 2026 sparse part has weight 966056997 (111.91/col) Wed Apr 15 17:46:28 2026 saving the first 240 matrix rows for later Wed Apr 15 17:46:29 2026 matrix includes 256 packed rows Wed Apr 15 17:46:31 2026 matrix is 8631914 x 8632313 (3713.9 MB) with weight 880775046 (102.03/col) Wed Apr 15 17:46:31 2026 sparse part has weight 835447133 (96.78/col) Wed Apr 15 17:46:31 2026 using GPU 0 (NVIDIA GeForce RTX 5070) Wed Apr 15 17:46:31 2026 selected card has CUDA arch 12.0 Wed Apr 15 17:47:27 2026 commencing Lanczos iteration Wed Apr 15 17:47:30 2026 memory use: 8547.3 MB Wed Apr 15 17:47:57 2026 linear algebra at 0.4%, ETA 2h 6m Wed Apr 15 17:48:37 2026 checking every 60000 dimensions, checkpointing every 4140000 dimensions Wed Apr 15 19:52:23 2026 lanczos halted after 33821 iterations (dim = 8631914) Wed Apr 15 19:52:50 2026 recovered 37 nontrivial dependencies Wed Apr 15 19:52:51 2026 BLanczosTime: 7588 Wed Apr 15 19:52:51 2026 Wed Apr 15 19:52:51 2026 commencing square root phase Wed Apr 15 19:52:51 2026 handling dependencies 1 to 64 Wed Apr 15 19:52:51 2026 reading relations for dependency 1 Wed Apr 15 19:52:53 2026 read 4315753 cycles Wed Apr 15 19:52:59 2026 cycles contain 15258676 unique relations Wed Apr 15 19:57:05 2026 read 15258676 relations Wed Apr 15 19:57:41 2026 multiplying 15258676 relations Wed Apr 15 19:58:04 2026 multiply complete, coefficients have about 401.47 million bits Wed Apr 15 19:58:05 2026 initial square root is modulo 15985507 Wed Apr 15 19:58:59 2026 sqrtTime: 368 Wed Apr 15 19:58:59 2026 p73 factor: 4232064607693267281677917603314816891109430135154151264264114739791001371 Wed Apr 15 19:58:59 2026 p148 factor: 1425037709946431941120243413691773891261403050373137109590397164723828760420093897946549571921591949062340470133418375801084195149301606274763085441 Wed Apr 15 19:58:59 2026 elapsed time 02:12:37