Fri May 22 11:06:25 2026 Msieve v. 1.54 (SVN unknown) Fri May 22 11:06:25 2026 random seeds: 4f1277f7 71ec184d Fri May 22 11:06:25 2026 factoring 2169222918818977177294760325375329747231553991092333064919776154196721442068530947937499345312750586592975266250957161867602209074336023886092228975062882946842706683358568402873557253664409 (190 digits) Fri May 22 11:06:26 2026 no P-1/P+1/ECM available, skipping Fri May 22 11:06:26 2026 commencing number field sieve (190-digit input) Fri May 22 11:06:26 2026 R0: 356811923176489970264571492362373784095686656 Fri May 22 11:06:26 2026 R1: -1 Fri May 22 11:06:26 2026 A0: -1 Fri May 22 11:06:26 2026 A1: 0 Fri May 22 11:06:26 2026 A2: 0 Fri May 22 11:06:26 2026 A3: 0 Fri May 22 11:06:26 2026 A4: 0 Fri May 22 11:06:26 2026 A5: 0 Fri May 22 11:06:26 2026 A6: 40 Fri May 22 11:06:26 2026 skew 0.70, size 3.670e-13, alpha 0.660, combined = 5.375e-14 rroots = 2 Fri May 22 11:06:26 2026 Fri May 22 11:06:26 2026 commencing relation filtering Fri May 22 11:06:26 2026 setting target matrix density to 90.0 Fri May 22 11:06:26 2026 estimated available RAM is 128742.2 MB Fri May 22 11:06:26 2026 commencing duplicate removal, pass 1 Fri May 22 12:23:12 2026 error -11 reading relation 336803622 Fri May 22 12:53:30 2026 error -11 reading relation 463159609 Fri May 22 13:05:59 2026 skipped 4309 relations with b > 2^32 Fri May 22 13:05:59 2026 skipped 1 relations with composite factors Fri May 22 13:05:59 2026 skipped 4 malformed relations Fri May 22 13:05:59 2026 found 29139189 hash collisions in 520512558 relations Fri May 22 13:06:17 2026 added 1218855 free relations Fri May 22 13:06:17 2026 commencing duplicate removal, pass 2 Fri May 22 13:13:17 2026 found 0 duplicates and 521731413 unique relations Fri May 22 13:13:17 2026 memory use: 1705.5 MB Fri May 22 13:13:18 2026 reading ideals above 720000 Fri May 22 13:13:18 2026 commencing singleton removal, initial pass Fri May 22 15:24:33 2026 memory use: 11024.0 MB Fri May 22 15:24:34 2026 reading all ideals from disk Fri May 22 15:27:15 2026 memory use: 25855.0 MB Fri May 22 15:28:44 2026 keeping 469827138 ideals with weight <= 200, target excess is 2712145 Fri May 22 15:30:17 2026 commencing in-memory singleton removal Fri May 22 15:33:04 2026 begin with 521731413 relations and 469827138 unique ideals Fri May 22 15:41:20 2026 reduce to 330614492 relations and 259237577 ideals in 15 passes Fri May 22 15:41:20 2026 max relations containing the same ideal: 160 Fri May 22 15:46:52 2026 removing 13502426 relations and 11502426 ideals in 2000000 cliques Fri May 22 15:47:06 2026 commencing in-memory singleton removal Fri May 22 15:48:55 2026 begin with 317112066 relations and 259237577 unique ideals Fri May 22 15:53:35 2026 reduce to 316701432 relations and 247321045 ideals in 7 passes Fri May 22 15:53:35 2026 max relations containing the same ideal: 154 Fri May 22 15:58:45 2026 removing 10187423 relations and 8187423 ideals in 2000000 cliques Fri May 22 15:58:59 2026 commencing in-memory singleton removal Fri May 22 16:00:39 2026 begin with 306514009 relations and 247321045 unique ideals Fri May 22 16:05:46 2026 reduce to 306252190 relations and 238869959 ideals in 8 passes Fri May 22 16:05:46 2026 max relations containing the same ideal: 152 Fri May 22 16:10:48 2026 removing 9133715 relations and 7133715 ideals in 2000000 cliques Fri May 22 16:11:01 2026 commencing in-memory singleton removal Fri May 22 16:12:39 2026 begin with 297118475 relations and 238869959 unique ideals Fri May 22 16:16:55 2026 reduce to 296894692 relations and 231510854 ideals in 7 passes Fri May 22 16:16:55 2026 max relations containing the same ideal: 149 Fri May 22 16:21:44 2026 removing 8540802 relations and 6540802 ideals in 2000000 cliques Fri May 22 16:21:56 2026 commencing in-memory singleton removal Fri May 22 16:23:27 2026 begin with 288353890 relations and 231510854 unique ideals Fri May 22 16:28:11 2026 reduce to 288150868 relations and 224765632 ideals in 8 passes Fri May 22 16:28:11 2026 max relations containing the same ideal: 146 Fri May 22 16:32:53 2026 removing 8143899 relations and 6143899 ideals in 2000000 cliques Fri May 22 16:33:06 2026 commencing in-memory singleton removal Fri May 22 16:34:34 2026 begin with 280006969 relations and 224765632 unique ideals Fri May 22 16:38:27 2026 reduce to 279815454 relations and 218428844 ideals in 7 passes Fri May 22 16:38:27 2026 max relations containing the same ideal: 145 Fri May 22 16:42:55 2026 removing 7859329 relations and 5859329 ideals in 2000000 cliques Fri May 22 16:43:07 2026 commencing in-memory singleton removal Fri May 22 16:44:32 2026 begin with 271956125 relations and 218428844 unique ideals Fri May 22 16:48:18 2026 reduce to 271772567 relations and 212384709 ideals in 7 passes Fri May 22 16:48:18 2026 max relations containing the same ideal: 142 Fri May 22 16:52:37 2026 removing 7642926 relations and 5642926 ideals in 2000000 cliques Fri May 22 16:52:49 2026 commencing in-memory singleton removal Fri May 22 16:54:10 2026 begin with 264129641 relations and 212384709 unique ideals Fri May 22 16:57:18 2026 reduce to 263950057 relations and 206560861 ideals in 6 passes Fri May 22 16:57:18 2026 max relations containing the same ideal: 138 Fri May 22 17:01:30 2026 removing 7471737 relations and 5471737 ideals in 2000000 cliques Fri May 22 17:01:41 2026 commencing in-memory singleton removal Fri May 22 17:03:01 2026 begin with 256478320 relations and 206560861 unique ideals Fri May 22 17:06:02 2026 reduce to 256301764 relations and 200911295 ideals in 6 passes Fri May 22 17:06:02 2026 max relations containing the same ideal: 135 Fri May 22 17:10:04 2026 removing 7340812 relations and 5340812 ideals in 2000000 cliques Fri May 22 17:10:15 2026 commencing in-memory singleton removal Fri May 22 17:11:31 2026 begin with 248960952 relations and 200911295 unique ideals Fri May 22 17:14:26 2026 reduce to 248787333 relations and 195395594 ideals in 6 passes Fri May 22 17:14:26 2026 max relations containing the same ideal: 134 Fri May 22 17:18:22 2026 removing 7229960 relations and 5229960 ideals in 2000000 cliques Fri May 22 17:18:33 2026 commencing in-memory singleton removal Fri May 22 17:19:45 2026 begin with 241557373 relations and 195395594 unique ideals Fri May 22 17:23:00 2026 reduce to 241385081 relations and 189991953 ideals in 7 passes Fri May 22 17:23:00 2026 max relations containing the same ideal: 132 Fri May 22 17:26:41 2026 removing 7138966 relations and 5138966 ideals in 2000000 cliques Fri May 22 17:26:51 2026 commencing in-memory singleton removal Fri May 22 17:28:01 2026 begin with 234246115 relations and 189991953 unique ideals Fri May 22 17:30:39 2026 reduce to 234072204 relations and 184677664 ideals in 6 passes Fri May 22 17:30:39 2026 max relations containing the same ideal: 130 Fri May 22 17:34:15 2026 removing 7068481 relations and 5068481 ideals in 2000000 cliques Fri May 22 17:34:25 2026 commencing in-memory singleton removal Fri May 22 17:35:32 2026 begin with 227003723 relations and 184677664 unique ideals Fri May 22 17:38:29 2026 reduce to 226828969 relations and 179432998 ideals in 7 passes Fri May 22 17:38:29 2026 max relations containing the same ideal: 124 Fri May 22 17:42:00 2026 removing 7005074 relations and 5005074 ideals in 2000000 cliques Fri May 22 17:42:09 2026 commencing in-memory singleton removal Fri May 22 17:43:14 2026 begin with 219823895 relations and 179432998 unique ideals Fri May 22 17:46:06 2026 reduce to 219648069 relations and 174250514 ideals in 7 passes Fri May 22 17:46:06 2026 max relations containing the same ideal: 122 Fri May 22 17:49:26 2026 removing 6952044 relations and 4952044 ideals in 2000000 cliques Fri May 22 17:49:35 2026 commencing in-memory singleton removal Fri May 22 17:50:36 2026 begin with 212696025 relations and 174250514 unique ideals Fri May 22 17:53:22 2026 reduce to 212516646 relations and 169117430 ideals in 7 passes Fri May 22 17:53:22 2026 max relations containing the same ideal: 120 Fri May 22 17:56:35 2026 removing 6912827 relations and 4912827 ideals in 2000000 cliques Fri May 22 17:56:44 2026 commencing in-memory singleton removal Fri May 22 17:57:43 2026 begin with 205603819 relations and 169117430 unique ideals Fri May 22 18:00:00 2026 reduce to 205421479 relations and 164020538 ideals in 6 passes Fri May 22 18:00:00 2026 max relations containing the same ideal: 118 Fri May 22 18:03:08 2026 removing 6880120 relations and 4880120 ideals in 2000000 cliques Fri May 22 18:03:17 2026 commencing in-memory singleton removal Fri May 22 18:04:13 2026 begin with 198541359 relations and 164020538 unique ideals Fri May 22 18:06:26 2026 reduce to 198356555 relations and 158953793 ideals in 6 passes Fri May 22 18:06:26 2026 max relations containing the same ideal: 115 Fri May 22 18:09:27 2026 removing 6855823 relations and 4855823 ideals in 2000000 cliques Fri May 22 18:09:36 2026 commencing in-memory singleton removal Fri May 22 18:10:30 2026 begin with 191500732 relations and 158953793 unique ideals Fri May 22 18:12:37 2026 reduce to 191311277 relations and 153906632 ideals in 6 passes Fri May 22 18:12:37 2026 max relations containing the same ideal: 114 Fri May 22 18:15:32 2026 removing 6836468 relations and 4836468 ideals in 2000000 cliques Fri May 22 18:15:40 2026 commencing in-memory singleton removal Fri May 22 18:16:31 2026 begin with 184474809 relations and 153906632 unique ideals Fri May 22 18:18:34 2026 reduce to 184280665 relations and 148873953 ideals in 6 passes Fri May 22 18:18:34 2026 max relations containing the same ideal: 112 Fri May 22 18:21:21 2026 removing 6825665 relations and 4825665 ideals in 2000000 cliques Fri May 22 18:21:29 2026 commencing in-memory singleton removal Fri May 22 18:22:19 2026 begin with 177455000 relations and 148873953 unique ideals Fri May 22 18:24:16 2026 reduce to 177253367 relations and 143844447 ideals in 6 passes Fri May 22 18:24:16 2026 max relations containing the same ideal: 108 Fri May 22 18:26:57 2026 removing 6817573 relations and 4817573 ideals in 2000000 cliques Fri May 22 18:27:05 2026 commencing in-memory singleton removal Fri May 22 18:27:52 2026 begin with 170435794 relations and 143844447 unique ideals Fri May 22 18:29:45 2026 reduce to 170228096 relations and 138816880 ideals in 6 passes Fri May 22 18:29:45 2026 max relations containing the same ideal: 106 Fri May 22 18:32:19 2026 removing 6820178 relations and 4820178 ideals in 2000000 cliques Fri May 22 18:32:27 2026 commencing in-memory singleton removal Fri May 22 18:33:12 2026 begin with 163407918 relations and 138816880 unique ideals Fri May 22 18:35:17 2026 reduce to 163193620 relations and 133779953 ideals in 7 passes Fri May 22 18:35:17 2026 max relations containing the same ideal: 104 Fri May 22 18:37:45 2026 removing 6831741 relations and 4831741 ideals in 2000000 cliques Fri May 22 18:37:52 2026 commencing in-memory singleton removal Fri May 22 18:38:35 2026 begin with 156361879 relations and 133779953 unique ideals Fri May 22 18:40:18 2026 reduce to 156138001 relations and 128721649 ideals in 6 passes Fri May 22 18:40:18 2026 max relations containing the same ideal: 101 Fri May 22 18:42:39 2026 removing 6840009 relations and 4840009 ideals in 2000000 cliques Fri May 22 18:42:46 2026 commencing in-memory singleton removal Fri May 22 18:43:26 2026 begin with 149297992 relations and 128721649 unique ideals Fri May 22 18:45:04 2026 reduce to 149063815 relations and 123644486 ideals in 6 passes Fri May 22 18:45:04 2026 max relations containing the same ideal: 96 Fri May 22 18:47:18 2026 removing 6856992 relations and 4856992 ideals in 2000000 cliques Fri May 22 18:47:25 2026 commencing in-memory singleton removal Fri May 22 18:48:03 2026 begin with 142206823 relations and 123644486 unique ideals Fri May 22 18:49:51 2026 reduce to 141962119 relations and 118539492 ideals in 7 passes Fri May 22 18:49:51 2026 max relations containing the same ideal: 96 Fri May 22 18:51:59 2026 removing 6885118 relations and 4885118 ideals in 2000000 cliques Fri May 22 18:52:06 2026 commencing in-memory singleton removal Fri May 22 18:52:42 2026 begin with 135077001 relations and 118539492 unique ideals Fri May 22 18:54:24 2026 reduce to 134819044 relations and 113392985 ideals in 7 passes Fri May 22 18:54:24 2026 max relations containing the same ideal: 91 Fri May 22 18:56:27 2026 removing 6915329 relations and 4915329 ideals in 2000000 cliques Fri May 22 18:56:34 2026 commencing in-memory singleton removal Fri May 22 18:57:07 2026 begin with 127903715 relations and 113392985 unique ideals Fri May 22 18:58:43 2026 reduce to 127632432 relations and 108202504 ideals in 7 passes Fri May 22 18:58:43 2026 max relations containing the same ideal: 87 Fri May 22 19:00:38 2026 removing 6955243 relations and 4955243 ideals in 2000000 cliques Fri May 22 19:00:44 2026 commencing in-memory singleton removal Fri May 22 19:01:16 2026 begin with 120677189 relations and 108202504 unique ideals Fri May 22 19:02:46 2026 reduce to 120387924 relations and 102953847 ideals in 7 passes Fri May 22 19:02:46 2026 max relations containing the same ideal: 85 Fri May 22 19:04:34 2026 removing 7003166 relations and 5003166 ideals in 2000000 cliques Fri May 22 19:04:40 2026 commencing in-memory singleton removal Fri May 22 19:05:10 2026 begin with 113384758 relations and 102953847 unique ideals Fri May 22 19:06:33 2026 reduce to 113075691 relations and 97636962 ideals in 7 passes Fri May 22 19:06:33 2026 max relations containing the same ideal: 82 Fri May 22 19:08:14 2026 removing 7059645 relations and 5059645 ideals in 2000000 cliques Fri May 22 19:08:20 2026 commencing in-memory singleton removal Fri May 22 19:08:47 2026 begin with 106016046 relations and 97636962 unique ideals Fri May 22 19:10:06 2026 reduce to 105683462 relations and 92239422 ideals in 7 passes Fri May 22 19:10:06 2026 max relations containing the same ideal: 78 Fri May 22 19:11:41 2026 removing 7126693 relations and 5126693 ideals in 2000000 cliques Fri May 22 19:11:46 2026 commencing in-memory singleton removal Fri May 22 19:12:12 2026 begin with 98556769 relations and 92239422 unique ideals Fri May 22 19:13:24 2026 reduce to 98195186 relations and 86745089 ideals in 7 passes Fri May 22 19:13:24 2026 max relations containing the same ideal: 75 Fri May 22 19:14:52 2026 removing 7208215 relations and 5208215 ideals in 2000000 cliques Fri May 22 19:14:58 2026 commencing in-memory singleton removal Fri May 22 19:15:21 2026 begin with 90986971 relations and 86745089 unique ideals Fri May 22 19:16:36 2026 reduce to 90589126 relations and 81131876 ideals in 8 passes Fri May 22 19:16:36 2026 max relations containing the same ideal: 71 Fri May 22 19:17:57 2026 removing 7300715 relations and 5300715 ideals in 2000000 cliques Fri May 22 19:18:02 2026 commencing in-memory singleton removal Fri May 22 19:18:24 2026 begin with 83288411 relations and 81131876 unique ideals Fri May 22 19:19:32 2026 reduce to 82848690 relations and 75383020 ideals in 8 passes Fri May 22 19:19:32 2026 max relations containing the same ideal: 67 Fri May 22 19:20:47 2026 removing 7410823 relations and 5410823 ideals in 2000000 cliques Fri May 22 19:20:52 2026 commencing in-memory singleton removal Fri May 22 19:21:11 2026 begin with 75437867 relations and 75383020 unique ideals Fri May 22 19:22:13 2026 reduce to 74942131 relations and 69466259 ideals in 8 passes Fri May 22 19:22:13 2026 max relations containing the same ideal: 63 Fri May 22 19:23:20 2026 removing 7542023 relations and 5542023 ideals in 2000000 cliques Fri May 22 19:23:25 2026 commencing in-memory singleton removal Fri May 22 19:23:42 2026 begin with 67400108 relations and 69466259 unique ideals Fri May 22 19:24:43 2026 reduce to 66827689 relations and 63339052 ideals in 9 passes Fri May 22 19:24:43 2026 max relations containing the same ideal: 57 Fri May 22 19:25:42 2026 removing 1816775 relations and 1474227 ideals in 342548 cliques Fri May 22 19:25:45 2026 commencing in-memory singleton removal Fri May 22 19:26:01 2026 begin with 65010914 relations and 63339052 unique ideals Fri May 22 19:26:40 2026 reduce to 64977511 relations and 61831268 ideals in 6 passes Fri May 22 19:26:40 2026 max relations containing the same ideal: 56 Fri May 22 19:27:49 2026 relations with 0 large ideals: 98866 Fri May 22 19:27:49 2026 relations with 1 large ideals: 126035 Fri May 22 19:27:49 2026 relations with 2 large ideals: 1204435 Fri May 22 19:27:49 2026 relations with 3 large ideals: 5380784 Fri May 22 19:27:49 2026 relations with 4 large ideals: 12769254 Fri May 22 19:27:49 2026 relations with 5 large ideals: 17789538 Fri May 22 19:27:49 2026 relations with 6 large ideals: 15254947 Fri May 22 19:27:49 2026 relations with 7+ large ideals: 12353652 Fri May 22 19:27:49 2026 commencing 2-way merge Fri May 22 19:29:09 2026 reduce to 40558023 relation sets and 37411780 unique ideals Fri May 22 19:29:09 2026 commencing full merge Fri May 22 19:46:07 2026 memory use: 4551.5 MB Fri May 22 19:46:15 2026 found 20306148 cycles, need 19877980 Fri May 22 19:46:26 2026 weight of 19877980 cycles is about 1789526153 (90.03/cycle) Fri May 22 19:46:26 2026 distribution of cycle lengths: Fri May 22 19:46:26 2026 1 relations: 1841837 Fri May 22 19:46:26 2026 2 relations: 1821286 Fri May 22 19:46:26 2026 3 relations: 1876716 Fri May 22 19:46:26 2026 4 relations: 1826042 Fri May 22 19:46:26 2026 5 relations: 1815859 Fri May 22 19:46:26 2026 6 relations: 1737455 Fri May 22 19:46:26 2026 7 relations: 1633833 Fri May 22 19:46:26 2026 8 relations: 1476812 Fri May 22 19:46:26 2026 9 relations: 1302485 Fri May 22 19:46:26 2026 10+ relations: 4545655 Fri May 22 19:46:26 2026 heaviest cycle: 21 relations Fri May 22 19:46:37 2026 commencing cycle optimization Fri May 22 19:47:35 2026 start with 128704186 relations Fri May 22 19:52:58 2026 pruned 3992463 relations Fri May 22 19:53:00 2026 memory use: 3965.8 MB Fri May 22 19:53:01 2026 distribution of cycle lengths: Fri May 22 19:53:01 2026 1 relations: 1841837 Fri May 22 19:53:01 2026 2 relations: 1860050 Fri May 22 19:53:01 2026 3 relations: 1944508 Fri May 22 19:53:01 2026 4 relations: 1886907 Fri May 22 19:53:01 2026 5 relations: 1886570 Fri May 22 19:53:01 2026 6 relations: 1797307 Fri May 22 19:53:01 2026 7 relations: 1691473 Fri May 22 19:53:01 2026 8 relations: 1514913 Fri May 22 19:53:01 2026 9 relations: 1325504 Fri May 22 19:53:01 2026 10+ relations: 4128911 Fri May 22 19:53:01 2026 heaviest cycle: 21 relations Fri May 22 19:53:55 2026 RelProcTime: 31649 Fri May 22 19:53:55 2026 elapsed time 08:47:30 Fri May 22 20:28:59 2026 Fri May 22 20:28:59 2026 Fri May 22 20:28:59 2026 Msieve v. 1.54 (SVN unknown) Fri May 22 20:28:59 2026 random seeds: 71eff532 a806906b Fri May 22 20:28:59 2026 factoring 2169222918818977177294760325375329747231553991092333064919776154196721442068530947937499345312750586592975266250957161867602209074336023886092228975062882946842706683358568402873557253664409 (190 digits) Fri May 22 20:29:00 2026 no P-1/P+1/ECM available, skipping Fri May 22 20:29:00 2026 commencing number field sieve (190-digit input) Fri May 22 20:29:00 2026 R0: 356811923176489970264571492362373784095686656 Fri May 22 20:29:00 2026 R1: -1 Fri May 22 20:29:00 2026 A0: -1 Fri May 22 20:29:00 2026 A1: 0 Fri May 22 20:29:00 2026 A2: 0 Fri May 22 20:29:00 2026 A3: 0 Fri May 22 20:29:00 2026 A4: 0 Fri May 22 20:29:00 2026 A5: 0 Fri May 22 20:29:00 2026 A6: 40 Fri May 22 20:29:00 2026 skew 0.70, size 3.670e-13, alpha 0.660, combined = 5.375e-14 rroots = 2 Fri May 22 20:29:00 2026 Fri May 22 20:29:00 2026 commencing linear algebra Fri May 22 20:29:00 2026 using VBITS=128 Fri May 22 20:29:04 2026 read 19877980 cycles Fri May 22 20:30:05 2026 cycles contain 63308761 unique relations Fri May 22 20:44:03 2026 read 63308761 relations Fri May 22 20:46:33 2026 using 20 quadratic characters above 4294917295 Fri May 22 20:53:27 2026 building initial matrix Fri May 22 21:15:30 2026 memory use: 8083.7 MB Fri May 22 21:15:47 2026 read 19877980 cycles Fri May 22 21:15:51 2026 matrix is 19877796 x 19877980 (7357.8 MB) with weight 2144795231 (107.90/col) Fri May 22 21:15:51 2026 sparse part has weight 1710133549 (86.03/col) Fri May 22 21:22:02 2026 filtering completed in 2 passes Fri May 22 21:22:07 2026 matrix is 19872754 x 19872937 (7357.3 MB) with weight 2144623593 (107.92/col) Fri May 22 21:22:07 2026 sparse part has weight 1710068547 (86.05/col) Fri May 22 21:24:24 2026 matrix starts at (0, 0) Fri May 22 21:24:28 2026 matrix is 19872754 x 19872937 (7357.3 MB) with weight 2144623593 (107.92/col) Fri May 22 21:24:28 2026 sparse part has weight 1710068547 (86.05/col) Fri May 22 21:24:28 2026 saving the first 112 matrix rows for later Fri May 22 21:24:34 2026 matrix includes 128 packed rows Fri May 22 21:24:40 2026 matrix is 19872642 x 19872937 (6883.6 MB) with weight 1654220526 (83.24/col) Fri May 22 21:24:40 2026 sparse part has weight 1566007701 (78.80/col) Fri May 22 21:24:41 2026 using GPU 0 (Tesla P100-PCIE-16GB) Fri May 22 21:24:41 2026 selected card has CUDA arch 6.0 Fri May 22 21:30:22 2026 commencing Lanczos iteration Fri May 22 21:30:24 2026 memory use: 14525.2 MB Fri May 22 21:33:05 2026 linear algebra at 0.2%, ETA 28h52m Fri May 22 21:33:46 2026 checking every 10000 dimensions, checkpointing every 690000 dimensions Sun May 24 02:32:26 2026 lanczos halted after 156187 iterations (dim = 19872640) Sun May 24 02:33:13 2026 recovered 37 nontrivial dependencies Sun May 24 02:33:14 2026 BLanczosTime: 108254 Sun May 24 02:33:14 2026 Sun May 24 02:33:14 2026 commencing square root phase Sun May 24 02:33:14 2026 handling dependencies 1 to 64 Sun May 24 02:33:14 2026 reading relations for dependency 1 Sun May 24 02:33:33 2026 read 9934266 cycles Sun May 24 02:34:01 2026 cycles contain 31657100 unique relations Sun May 24 02:41:44 2026 read 31657100 relations Sun May 24 02:46:07 2026 multiplying 31657100 relations Sun May 24 03:21:20 2026 multiply complete, coefficients have about 981.25 million bits Sun May 24 03:21:25 2026 initial square root is modulo 635740531 Sun May 24 03:53:43 2026 sqrtTime: 4829 Sun May 24 03:53:43 2026 p86 factor: 11033041087083044325918157580841982694199476481640357474055002443622955731111153794431 Sun May 24 03:53:43 2026 p105 factor: 196611514603947174315161465629936844017336814930824579896728884121868398564615302834310763068445678833639 Sun May 24 03:53:43 2026 elapsed time 31:24:44