Thu Sep 3 06:02:30 2026 Thu Sep 3 06:02:30 2026 Thu Sep 3 06:02:30 2026 Msieve v. 1.54 (SVN unknown) Thu Sep 3 06:02:30 2026 random seeds: 6dfa5f70 6afdb3c1 Thu Sep 3 06:02:30 2026 Using 8 OpenMP threads Thu Sep 3 06:02:30 2026 factoring 4602094983831732439989635761971942034140142933627148074208967955487051715444312145378153540451464724053997080104896943962050931926940206021292383695148219892970509546636664087511 (178 digits) Thu Sep 3 06:02:30 2026 no P-1/P+1/ECM available, skipping Thu Sep 3 06:02:30 2026 commencing number field sieve (178-digit input) Thu Sep 3 06:02:30 2026 R0: -31932943550430175501713570346302780 Thu Sep 3 06:02:30 2026 R1: 2819184468931715001877 Thu Sep 3 06:02:30 2026 A0: 518464309438391203845739595999095994582572 Thu Sep 3 06:02:30 2026 A1: 61314395193293942571784892625187268 Thu Sep 3 06:02:30 2026 A2: 21305123581308678701505434273 Thu Sep 3 06:02:30 2026 A3: -286859472574314882107 Thu Sep 3 06:02:30 2026 A4: -34972570469364 Thu Sep 3 06:02:30 2026 A5: 554400 Thu Sep 3 06:02:30 2026 skew 18883960.39, size 3.303e-17, alpha -7.678, combined = 1.506e-13 rroots = 3 Thu Sep 3 06:02:30 2026 Thu Sep 3 06:02:30 2026 commencing relation filtering Thu Sep 3 06:02:30 2026 setting 3 target densities:Thu Sep 3 06:02:30 2026 90Thu Sep 3 06:02:30 2026 110Thu Sep 3 06:02:30 2026 130Thu Sep 3 06:02:30 2026 Thu Sep 3 06:02:30 2026 estimated available RAM is 78540.1 MB Thu Sep 3 06:02:30 2026 commencing duplicate removal, pass 1 Thu Sep 3 06:03:34 2026 error -1 reading relation 54978365 Thu Sep 3 06:03:44 2026 error -1 reading relation 63892374 Thu Sep 3 06:03:45 2026 error -1 reading relation 64951980 Thu Sep 3 06:03:46 2026 error -1 reading relation 65769284 Thu Sep 3 06:03:49 2026 error -1 reading relation 67938162 Thu Sep 3 06:03:55 2026 error -1 reading relation 72726722 Thu Sep 3 06:03:55 2026 error -1 reading relation 73014131 Thu Sep 3 06:04:06 2026 error -1 reading relation 81938074 Thu Sep 3 06:04:18 2026 error -1 reading relation 92755810 Thu Sep 3 06:04:32 2026 error -1 reading relation 104182676 Thu Sep 3 06:04:33 2026 error -1 reading relation 105126603 Thu Sep 3 06:04:44 2026 error -1 reading relation 114633702 Thu Sep 3 06:04:44 2026 error -1 reading relation 114772028 Thu Sep 3 06:04:50 2026 error -1 reading relation 120736437 Thu Sep 3 06:05:31 2026 error -1 reading relation 157421660 Thu Sep 3 06:05:48 2026 error -1 reading relation 171389098 Thu Sep 3 06:05:50 2026 error -1 reading relation 174832401 Thu Sep 3 06:06:00 2026 error -1 reading relation 183486251 Thu Sep 3 06:06:27 2026 error -1 reading relation 207664273 Thu Sep 3 06:06:29 2026 error -1 reading relation 209101758 Thu Sep 3 06:06:49 2026 error -1 reading relation 225406886 Thu Sep 3 06:06:56 2026 error -1 reading relation 232287911 Thu Sep 3 06:07:09 2026 error -1 reading relation 242133772 Thu Sep 3 06:07:10 2026 error -1 reading relation 242920457 Thu Sep 3 06:07:18 2026 error -1 reading relation 250127991 Thu Sep 3 06:07:19 2026 error -1 reading relation 251617694 Thu Sep 3 06:07:24 2026 error -1 reading relation 257384770 Thu Sep 3 06:07:37 2026 error -1 reading relation 269274365 Thu Sep 3 06:07:39 2026 error -1 reading relation 271139289 Thu Sep 3 06:07:42 2026 error -1 reading relation 272933161 Thu Sep 3 06:07:42 2026 error -1 reading relation 273251691 Thu Sep 3 06:07:45 2026 error -1 reading relation 276623379 Thu Sep 3 06:07:46 2026 error -1 reading relation 277018728 Thu Sep 3 06:07:48 2026 error -1 reading relation 278943184 Thu Sep 3 06:07:48 2026 error -1 reading relation 278982101 Thu Sep 3 06:07:48 2026 error -1 reading relation 279156640 Thu Sep 3 06:07:51 2026 error -1 reading relation 281583650 Thu Sep 3 06:07:52 2026 error -1 reading relation 282742947 Thu Sep 3 06:07:56 2026 error -1 reading relation 286040959 Thu Sep 3 06:07:58 2026 error -1 reading relation 288419466 Thu Sep 3 06:08:03 2026 error -1 reading relation 292741671 Thu Sep 3 06:08:13 2026 error -1 reading relation 302250092 Thu Sep 3 06:08:14 2026 error -15 reading relation 303372684 Thu Sep 3 06:08:21 2026 error -1 reading relation 310493366 Thu Sep 3 06:08:21 2026 error -1 reading relation 310511396 Thu Sep 3 06:08:23 2026 skipped 1 relations with composite factors Thu Sep 3 06:08:23 2026 skipped 337 malformed relations Thu Sep 3 06:08:23 2026 found 52158364 hash collisions in 313431609 relations Thu Sep 3 06:08:34 2026 added 121785 free relations Thu Sep 3 06:08:34 2026 commencing duplicate removal, pass 2 Thu Sep 3 06:10:21 2026 found 51339273 duplicates and 262214121 unique relations Thu Sep 3 06:10:21 2026 memory use: 1705.5 MB Thu Sep 3 06:10:21 2026 reading ideals above 720000 Thu Sep 3 06:10:21 2026 commencing singleton removal, initial pass Thu Sep 3 06:22:42 2026 memory use: 6024.0 MB Thu Sep 3 06:22:43 2026 reading all ideals from disk Thu Sep 3 06:22:52 2026 memory use: 12613.9 MB Thu Sep 3 06:23:12 2026 keeping 243773549 ideals with weight <= 200, target excess is 1352222 Thu Sep 3 06:23:32 2026 commencing in-memory singleton removal Thu Sep 3 06:23:35 2026 begin with 262214121 relations and 243773549 unique ideals Thu Sep 3 06:23:57 2026 reduce to 161019904 relations and 131877099 ideals in 13 passes Thu Sep 3 06:23:57 2026 max relations containing the same ideal: 152 Thu Sep 3 06:24:40 2026 removing 11821533 relations and 9821533 ideals in 2000000 cliques Thu Sep 3 06:24:43 2026 commencing in-memory singleton removal Thu Sep 3 06:24:44 2026 begin with 149198371 relations and 131877099 unique ideals Thu Sep 3 06:24:53 2026 reduce to 148539705 relations and 121386419 ideals in 8 passes Thu Sep 3 06:24:53 2026 max relations containing the same ideal: 144 Thu Sep 3 06:25:29 2026 removing 9043453 relations and 7043453 ideals in 2000000 cliques Thu Sep 3 06:25:32 2026 commencing in-memory singleton removal Thu Sep 3 06:25:34 2026 begin with 139496252 relations and 121386419 unique ideals Thu Sep 3 06:25:43 2026 reduce to 139052876 relations and 113893457 ideals in 9 passes Thu Sep 3 06:25:43 2026 max relations containing the same ideal: 136 Thu Sep 3 06:26:17 2026 removing 8198056 relations and 6198056 ideals in 2000000 cliques Thu Sep 3 06:26:20 2026 commencing in-memory singleton removal Thu Sep 3 06:26:21 2026 begin with 130854820 relations and 113893457 unique ideals Thu Sep 3 06:26:29 2026 reduce to 130459869 relations and 107295106 ideals in 7 passes Thu Sep 3 06:26:29 2026 max relations containing the same ideal: 133 Thu Sep 3 06:27:02 2026 removing 7764342 relations and 5764342 ideals in 2000000 cliques Thu Sep 3 06:27:04 2026 commencing in-memory singleton removal Thu Sep 3 06:27:06 2026 begin with 122695527 relations and 107295106 unique ideals Thu Sep 3 06:27:13 2026 reduce to 122321330 relations and 101151167 ideals in 8 passes Thu Sep 3 06:27:13 2026 max relations containing the same ideal: 131 Thu Sep 3 06:27:44 2026 removing 7500713 relations and 5500713 ideals in 2000000 cliques Thu Sep 3 06:27:46 2026 commencing in-memory singleton removal Thu Sep 3 06:27:48 2026 begin with 114820617 relations and 101151167 unique ideals Thu Sep 3 06:27:52 2026 reduce to 114449923 relations and 95274244 ideals in 7 passes Thu Sep 3 06:27:52 2026 max relations containing the same ideal: 122 Thu Sep 3 06:28:22 2026 removing 7334531 relations and 5334531 ideals in 2000000 cliques Thu Sep 3 06:28:24 2026 commencing in-memory singleton removal Thu Sep 3 06:28:25 2026 begin with 107115392 relations and 95274244 unique ideals Thu Sep 3 06:28:32 2026 reduce to 106738192 relations and 89556657 ideals in 8 passes Thu Sep 3 06:28:32 2026 max relations containing the same ideal: 117 Thu Sep 3 06:28:59 2026 removing 7231093 relations and 5231093 ideals in 2000000 cliques Thu Sep 3 06:29:01 2026 commencing in-memory singleton removal Thu Sep 3 06:29:02 2026 begin with 99507099 relations and 89556657 unique ideals Thu Sep 3 06:29:07 2026 reduce to 99118865 relations and 83930968 ideals in 7 passes Thu Sep 3 06:29:07 2026 max relations containing the same ideal: 111 Thu Sep 3 06:29:33 2026 removing 7174445 relations and 5174445 ideals in 2000000 cliques Thu Sep 3 06:29:35 2026 commencing in-memory singleton removal Thu Sep 3 06:29:36 2026 begin with 91944420 relations and 83930968 unique ideals Thu Sep 3 06:29:40 2026 reduce to 91534010 relations and 78338917 ideals in 7 passes Thu Sep 3 06:29:40 2026 max relations containing the same ideal: 105 Thu Sep 3 06:30:04 2026 removing 7152196 relations and 5152196 ideals in 2000000 cliques Thu Sep 3 06:30:06 2026 commencing in-memory singleton removal Thu Sep 3 06:30:07 2026 begin with 84381814 relations and 78338917 unique ideals Thu Sep 3 06:30:11 2026 reduce to 83939572 relations and 72736137 ideals in 7 passes Thu Sep 3 06:30:11 2026 max relations containing the same ideal: 99 Thu Sep 3 06:30:32 2026 removing 7161683 relations and 5161683 ideals in 2000000 cliques Thu Sep 3 06:30:34 2026 commencing in-memory singleton removal Thu Sep 3 06:30:35 2026 begin with 76777889 relations and 72736137 unique ideals Thu Sep 3 06:30:39 2026 reduce to 76293202 relations and 67079739 ideals in 7 passes Thu Sep 3 06:30:39 2026 max relations containing the same ideal: 93 Thu Sep 3 06:30:59 2026 removing 7213435 relations and 5213435 ideals in 2000000 cliques Thu Sep 3 06:31:01 2026 commencing in-memory singleton removal Thu Sep 3 06:31:02 2026 begin with 69079767 relations and 67079739 unique ideals Thu Sep 3 06:31:06 2026 reduce to 68539657 relations and 61313933 ideals in 8 passes Thu Sep 3 06:31:06 2026 max relations containing the same ideal: 86 Thu Sep 3 06:31:26 2026 removing 7298904 relations and 5298904 ideals in 2000000 cliques Thu Sep 3 06:31:28 2026 commencing in-memory singleton removal Thu Sep 3 06:31:28 2026 begin with 61240753 relations and 61313933 unique ideals Thu Sep 3 06:31:31 2026 reduce to 60620004 relations and 55378500 ideals in 9 passes Thu Sep 3 06:31:31 2026 max relations containing the same ideal: 80 Thu Sep 3 06:31:49 2026 removing 7428551 relations and 5428551 ideals in 2000000 cliques Thu Sep 3 06:31:50 2026 commencing in-memory singleton removal Thu Sep 3 06:31:51 2026 begin with 53191453 relations and 55378500 unique ideals Thu Sep 3 06:31:54 2026 reduce to 52453247 relations and 49190819 ideals in 9 passes Thu Sep 3 06:31:54 2026 max relations containing the same ideal: 72 Thu Sep 3 06:32:08 2026 removing 6680764 relations and 4986914 ideals in 1693850 cliques Thu Sep 3 06:32:09 2026 commencing in-memory singleton removal Thu Sep 3 06:32:10 2026 begin with 45772483 relations and 49190819 unique ideals Thu Sep 3 06:32:13 2026 reduce to 45076933 relations and 43489021 ideals in 9 passes Thu Sep 3 06:32:13 2026 max relations containing the same ideal: 65 Thu Sep 3 06:32:26 2026 removing 168925 relations and 149591 ideals in 19334 cliques Thu Sep 3 06:32:27 2026 commencing in-memory singleton removal Thu Sep 3 06:32:27 2026 begin with 44908008 relations and 43489021 unique ideals Thu Sep 3 06:32:29 2026 reduce to 44907638 relations and 43339060 ideals in 6 passes Thu Sep 3 06:32:29 2026 max relations containing the same ideal: 65 Thu Sep 3 06:32:30 2026 trying target density 90 Thu Sep 3 06:32:33 2026 relations with 0 large ideals: 5060 Thu Sep 3 06:32:33 2026 relations with 1 large ideals: 28368 Thu Sep 3 06:32:33 2026 relations with 2 large ideals: 389851 Thu Sep 3 06:32:33 2026 relations with 3 large ideals: 2191004 Thu Sep 3 06:32:33 2026 relations with 4 large ideals: 6535237 Thu Sep 3 06:32:33 2026 relations with 5 large ideals: 11402118 Thu Sep 3 06:32:33 2026 relations with 6 large ideals: 12217537 Thu Sep 3 06:32:33 2026 relations with 7+ large ideals: 12138463 Thu Sep 3 06:32:33 2026 commencing 2-way merge Thu Sep 3 06:32:51 2026 reduce to 27563664 relation sets and 25995086 unique ideals Thu Sep 3 06:32:51 2026 commencing full merge Thu Sep 3 06:37:38 2026 memory use: 3119.8 MB Thu Sep 3 06:37:40 2026 found 13647682 cycles, need 13437286 Thu Sep 3 06:37:43 2026 weight of 13437286 cycles is about 1209393874 (90.00/cycle) Thu Sep 3 06:37:43 2026 distribution of cycle lengths: Thu Sep 3 06:37:43 2026 1 relations: 1460117 Thu Sep 3 06:37:43 2026 2 relations: 1286842 Thu Sep 3 06:37:43 2026 3 relations: 1296739 Thu Sep 3 06:37:43 2026 4 relations: 1272202 Thu Sep 3 06:37:43 2026 5 relations: 1228560 Thu Sep 3 06:37:43 2026 6 relations: 1174153 Thu Sep 3 06:37:43 2026 7 relations: 1078925 Thu Sep 3 06:37:43 2026 8 relations: 956702 Thu Sep 3 06:37:43 2026 9 relations: 824456 Thu Sep 3 06:37:43 2026 10+ relations: 2858590 Thu Sep 3 06:37:43 2026 heaviest cycle: 22 relations Thu Sep 3 06:37:45 2026 commencing cycle optimization Thu Sep 3 06:38:01 2026 start with 84356065 relations Thu Sep 3 06:39:28 2026 pruned 2505731 relations Thu Sep 3 06:39:29 2026 memory use: 2681.1 MB Thu Sep 3 06:39:29 2026 distribution of cycle lengths: Thu Sep 3 06:39:29 2026 1 relations: 1460117 Thu Sep 3 06:39:29 2026 2 relations: 1318125 Thu Sep 3 06:39:29 2026 3 relations: 1344936 Thu Sep 3 06:39:29 2026 4 relations: 1311072 Thu Sep 3 06:39:29 2026 5 relations: 1273047 Thu Sep 3 06:39:29 2026 6 relations: 1208283 Thu Sep 3 06:39:29 2026 7 relations: 1109214 Thu Sep 3 06:39:29 2026 8 relations: 973453 Thu Sep 3 06:39:29 2026 9 relations: 830892 Thu Sep 3 06:39:29 2026 10+ relations: 2608147 Thu Sep 3 06:39:29 2026 heaviest cycle: 22 relations Thu Sep 3 06:39:53 2026 trying target density 110 Thu Sep 3 06:39:56 2026 relations with 0 large ideals: 5060 Thu Sep 3 06:39:56 2026 relations with 1 large ideals: 28368 Thu Sep 3 06:39:56 2026 relations with 2 large ideals: 389851 Thu Sep 3 06:39:56 2026 relations with 3 large ideals: 2191004 Thu Sep 3 06:39:56 2026 relations with 4 large ideals: 6535237 Thu Sep 3 06:39:56 2026 relations with 5 large ideals: 11402118 Thu Sep 3 06:39:56 2026 relations with 6 large ideals: 12217537 Thu Sep 3 06:39:56 2026 relations with 7+ large ideals: 12138463 Thu Sep 3 06:39:56 2026 commencing 2-way merge Thu Sep 3 06:40:14 2026 reduce to 27563664 relation sets and 25995086 unique ideals Thu Sep 3 06:40:14 2026 commencing full merge Thu Sep 3 06:46:37 2026 memory use: 3207.9 MB Thu Sep 3 06:46:39 2026 found 12717328 cycles, need 12545286 Thu Sep 3 06:46:42 2026 weight of 12545286 cycles is about 1380369253 (110.03/cycle) Thu Sep 3 06:46:42 2026 distribution of cycle lengths: Thu Sep 3 06:46:42 2026 1 relations: 1065576 Thu Sep 3 06:46:42 2026 2 relations: 975219 Thu Sep 3 06:46:42 2026 3 relations: 996167 Thu Sep 3 06:46:43 2026 4 relations: 972634 Thu Sep 3 06:46:43 2026 5 relations: 967739 Thu Sep 3 06:46:43 2026 6 relations: 951977 Thu Sep 3 06:46:43 2026 7 relations: 910747 Thu Sep 3 06:46:43 2026 8 relations: 859831 Thu Sep 3 06:46:43 2026 9 relations: 789728 Thu Sep 3 06:46:43 2026 10+ relations: 4055668 Thu Sep 3 06:46:43 2026 heaviest cycle: 26 relations Thu Sep 3 06:46:43 2026 commencing cycle optimization Thu Sep 3 06:47:04 2026 start with 95957640 relations Thu Sep 3 06:49:15 2026 pruned 3597105 relations Thu Sep 3 06:49:16 2026 memory use: 2801.3 MB Thu Sep 3 06:49:16 2026 distribution of cycle lengths: Thu Sep 3 06:49:16 2026 1 relations: 1065576 Thu Sep 3 06:49:16 2026 2 relations: 999948 Thu Sep 3 06:49:16 2026 3 relations: 1035007 Thu Sep 3 06:49:16 2026 4 relations: 1007632 Thu Sep 3 06:49:16 2026 5 relations: 1009862 Thu Sep 3 06:49:16 2026 6 relations: 989431 Thu Sep 3 06:49:16 2026 7 relations: 948784 Thu Sep 3 06:49:16 2026 8 relations: 891089 Thu Sep 3 06:49:16 2026 9 relations: 815513 Thu Sep 3 06:49:16 2026 10+ relations: 3782444 Thu Sep 3 06:49:16 2026 heaviest cycle: 25 relations Thu Sep 3 06:49:32 2026 trying target density 130 Thu Sep 3 06:49:35 2026 relations with 0 large ideals: 5060 Thu Sep 3 06:49:35 2026 relations with 1 large ideals: 28368 Thu Sep 3 06:49:35 2026 relations with 2 large ideals: 389851 Thu Sep 3 06:49:35 2026 relations with 3 large ideals: 2191004 Thu Sep 3 06:49:35 2026 relations with 4 large ideals: 6535237 Thu Sep 3 06:49:35 2026 relations with 5 large ideals: 11402118 Thu Sep 3 06:49:35 2026 relations with 6 large ideals: 12217537 Thu Sep 3 06:49:35 2026 relations with 7+ large ideals: 12138463 Thu Sep 3 06:49:35 2026 commencing 2-way merge Thu Sep 3 06:49:51 2026 reduce to 27563664 relation sets and 25995086 unique ideals Thu Sep 3 06:49:51 2026 commencing full merge Thu Sep 3 06:56:42 2026 memory use: 3257.2 MB Thu Sep 3 06:56:44 2026 found 11968825 cycles, need 11899286 Thu Sep 3 06:56:46 2026 weight of 11899286 cycles is about 1547445728 (130.05/cycle) Thu Sep 3 06:56:46 2026 distribution of cycle lengths: Thu Sep 3 06:56:46 2026 1 relations: 789206 Thu Sep 3 06:56:46 2026 2 relations: 781503 Thu Sep 3 06:56:46 2026 3 relations: 800224 Thu Sep 3 06:56:46 2026 4 relations: 789923 Thu Sep 3 06:56:46 2026 5 relations: 791240 Thu Sep 3 06:56:46 2026 6 relations: 784206 Thu Sep 3 06:56:46 2026 7 relations: 779240 Thu Sep 3 06:56:46 2026 8 relations: 746354 Thu Sep 3 06:56:46 2026 9 relations: 712160 Thu Sep 3 06:56:46 2026 10+ relations: 4925230 Thu Sep 3 06:56:46 2026 heaviest cycle: 28 relations Thu Sep 3 06:56:48 2026 commencing cycle optimization Thu Sep 3 06:57:08 2026 start with 107121144 relations Thu Sep 3 06:59:46 2026 pruned 4717776 relations Thu Sep 3 06:59:46 2026 memory use: 2915.3 MB Thu Sep 3 06:59:46 2026 distribution of cycle lengths: Thu Sep 3 06:59:46 2026 1 relations: 789206 Thu Sep 3 06:59:46 2026 2 relations: 801444 Thu Sep 3 06:59:46 2026 3 relations: 832271 Thu Sep 3 06:59:46 2026 4 relations: 820073 Thu Sep 3 06:59:46 2026 5 relations: 828824 Thu Sep 3 06:59:46 2026 6 relations: 821152 Thu Sep 3 06:59:46 2026 7 relations: 816638 Thu Sep 3 06:59:46 2026 8 relations: 781823 Thu Sep 3 06:59:46 2026 9 relations: 746412 Thu Sep 3 06:59:46 2026 10+ relations: 4661443 Thu Sep 3 06:59:46 2026 heaviest cycle: 28 relations Thu Sep 3 07:00:03 2026 RelProcTime: 3453 Thu Sep 3 07:00:03 2026 Thu Sep 3 07:00:03 2026 commencing linear algebra Thu Sep 3 07:00:03 2026 using VBITS=256 Thu Sep 3 07:00:03 2026 building matrices for all densities Thu Sep 3 07:00:03 2026 found 3 density files Thu Sep 3 07:00:03 2026 building matrix for density 90 Thu Sep 3 07:00:06 2026 read 13437286 cycles Thu Sep 3 07:00:22 2026 cycles contain 43867427 unique relations Thu Sep 3 07:04:26 2026 read 43867427 relations Thu Sep 3 07:04:36 2026 using 20 quadratic characters above 4294917295 Thu Sep 3 07:04:50 2026 building initial matrix Thu Sep 3 07:12:04 2026 memory use: 6081.1 MB Thu Sep 3 07:12:09 2026 read 13437286 cycles Thu Sep 3 07:12:11 2026 matrix is 13437101 x 13437286 (5017.0 MB) with weight 1537002708 (114.38/col) Thu Sep 3 07:12:11 2026 sparse part has weight 1153931361 (85.88/col) Thu Sep 3 07:13:47 2026 filtering completed in 2 passes Thu Sep 3 07:13:50 2026 matrix is 13431946 x 13432128 (5016.5 MB) with weight 1536778692 (114.41/col) Thu Sep 3 07:13:50 2026 sparse part has weight 1153857590 (85.90/col) Thu Sep 3 07:14:18 2026 building matrix for density 110 Thu Sep 3 07:14:20 2026 read 12545286 cycles Thu Sep 3 07:14:37 2026 cycles contain 43883971 unique relations Thu Sep 3 07:16:08 2026 read 43883971 relations Thu Sep 3 07:16:21 2026 using 20 quadratic characters above 4294917295 Thu Sep 3 07:16:38 2026 building initial matrix Thu Sep 3 07:24:34 2026 memory use: 6095.8 MB Thu Sep 3 07:24:39 2026 read 12545286 cycles Thu Sep 3 07:24:41 2026 matrix is 12545107 x 12545286 (5519.9 MB) with weight 1676090808 (133.60/col) Thu Sep 3 07:24:41 2026 sparse part has weight 1296453892 (103.34/col) Thu Sep 3 07:26:30 2026 filtering completed in 2 passes Thu Sep 3 07:26:33 2026 matrix is 12542810 x 12542988 (5519.6 MB) with weight 1675972030 (133.62/col) Thu Sep 3 07:26:33 2026 sparse part has weight 1296408947 (103.36/col) Thu Sep 3 07:27:02 2026 building matrix for density 130 Thu Sep 3 07:27:03 2026 read 11899286 cycles Thu Sep 3 07:27:22 2026 cycles contain 43885318 unique relations Thu Sep 3 07:28:14 2026 read 43885318 relations Thu Sep 3 07:28:25 2026 using 20 quadratic characters above 4294917295 Thu Sep 3 07:28:43 2026 building initial matrix Thu Sep 3 07:36:52 2026 memory use: 6114.6 MB Thu Sep 3 07:36:56 2026 read 11899286 cycles Thu Sep 3 07:36:58 2026 matrix is 11899107 x 11899286 (6013.7 MB) with weight 1811354463 (152.22/col) Thu Sep 3 07:36:58 2026 sparse part has weight 1433669140 (120.48/col) Thu Sep 3 07:38:34 2026 filtering completed in 2 passes Thu Sep 3 07:38:36 2026 matrix is 11898515 x 11898693 (6013.6 MB) with weight 1811322609 (152.23/col) Thu Sep 3 07:38:36 2026 sparse part has weight 1433657621 (120.49/col) Thu Sep 3 07:39:01 2026 BLanczosTime: 2338 Thu Sep 3 07:39:01 2026 elapsed time 01:36:31 Thu Sep 3 20:44:21 2026 Thu Sep 3 20:44:21 2026 Thu Sep 3 20:44:21 2026 Msieve v. 1.54 (SVN unknown) Thu Sep 3 20:44:21 2026 random seeds: 47f36578 ff85bad5 Thu Sep 3 20:44:21 2026 factoring 4602094983831732439989635761971942034140142933627148074208967955487051715444312145378153540451464724053997080104896943962050931926940206021292383695148219892970509546636664087511 (178 digits) Thu Sep 3 20:44:22 2026 no P-1/P+1/ECM available, skipping Thu Sep 3 20:44:22 2026 commencing number field sieve (178-digit input) Thu Sep 3 20:44:22 2026 R0: -31932943550430175501713570346302780 Thu Sep 3 20:44:22 2026 R1: 2819184468931715001877 Thu Sep 3 20:44:22 2026 A0: 518464309438391203845739595999095994582572 Thu Sep 3 20:44:22 2026 A1: 61314395193293942571784892625187268 Thu Sep 3 20:44:22 2026 A2: 21305123581308678701505434273 Thu Sep 3 20:44:22 2026 A3: -286859472574314882107 Thu Sep 3 20:44:22 2026 A4: -34972570469364 Thu Sep 3 20:44:22 2026 A5: 554400 Thu Sep 3 20:44:22 2026 skew 18883960.39, size 3.303e-17, alpha -7.678, combined = 1.506e-13 rroots = 3 Thu Sep 3 20:44:22 2026 Thu Sep 3 20:44:22 2026 commencing linear algebra Thu Sep 3 20:44:22 2026 using VBITS=256 Thu Sep 3 20:44:22 2026 skipping matrix build Thu Sep 3 20:44:27 2026 matrix starts at (0, 0) Thu Sep 3 20:44:29 2026 matrix is 11898515 x 11898693 (6013.6 MB) with weight 1811322609 (152.23/col) Thu Sep 3 20:44:29 2026 sparse part has weight 1433657621 (120.49/col) Thu Sep 3 20:44:29 2026 saving the first 240 matrix rows for later Thu Sep 3 20:44:32 2026 matrix includes 256 packed rows Thu Sep 3 20:44:36 2026 matrix is 11898275 x 11898693 (5412.7 MB) with weight 1309742266 (110.07/col) Thu Sep 3 20:44:36 2026 sparse part has weight 1228516182 (103.25/col) Thu Sep 3 20:44:36 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Thu Sep 3 20:44:36 2026 selected card has CUDA arch 12.0 Thu Sep 3 20:44:38 2026 computed block_nnz 162395052 (L2 cache 100663296 bytes, average column weight 103.2) Thu Sep 3 20:44:38 2026 nonzeros per matrix block: 256000000 Thu Sep 3 20:47:23 2026 commencing Lanczos iteration Thu Sep 3 20:47:24 2026 memory use: 12731.7 MB Thu Sep 3 20:47:33 2026 linear algebra at 0.3%, ETA 0h51m Thu Sep 3 20:47:45 2026 checking every 230000 dimensions, checkpointing every 14030000 dimensions Thu Sep 3 21:41:03 2026 lanczos halted after 46619 iterations (dim = 11898273) Thu Sep 3 21:42:42 2026 recovered 30 nontrivial dependencies Thu Sep 3 21:42:42 2026 BLanczosTime: 3500 Thu Sep 3 21:42:42 2026 elapsed time 00:58:21 Thu Sep 3 18:00:49 2026 Thu Sep 3 18:00:49 2026 Thu Sep 3 18:00:49 2026 Msieve v. 1.54 (SVN unknown) Thu Sep 3 18:00:49 2026 random seeds: e279f562 0af7a2b2 Thu Sep 3 18:00:49 2026 Using 8 OpenMP threads Thu Sep 3 18:00:49 2026 factoring 4602094983831732439989635761971942034140142933627148074208967955487051715444312145378153540451464724053997080104896943962050931926940206021292383695148219892970509546636664087511 (178 digits) Thu Sep 3 18:00:50 2026 no P-1/P+1/ECM available, skipping Thu Sep 3 18:00:50 2026 commencing number field sieve (178-digit input) Thu Sep 3 18:00:50 2026 R0: -31932943550430175501713570346302780 Thu Sep 3 18:00:50 2026 R1: 2819184468931715001877 Thu Sep 3 18:00:50 2026 A0: 518464309438391203845739595999095994582572 Thu Sep 3 18:00:50 2026 A1: 61314395193293942571784892625187268 Thu Sep 3 18:00:50 2026 A2: 21305123581308678701505434273 Thu Sep 3 18:00:50 2026 A3: -286859472574314882107 Thu Sep 3 18:00:50 2026 A4: -34972570469364 Thu Sep 3 18:00:50 2026 A5: 554400 Thu Sep 3 18:00:50 2026 skew 18883960.39, size 3.303e-17, alpha -7.678, combined = 1.506e-13 rroots = 3 Thu Sep 3 18:00:50 2026 Thu Sep 3 18:00:50 2026 commencing square root phase Thu Sep 3 18:00:50 2026 reading relations for dependency 1 Thu Sep 3 18:00:52 2026 read 5947204 cycles Thu Sep 3 18:01:08 2026 cycles contain 21938798 unique relations Thu Sep 3 18:07:17 2026 read 21938798 relations Thu Sep 3 18:08:26 2026 multiplying 21938798 relations Thu Sep 3 18:10:50 2026 multiply complete, coefficients have about 1264.55 million bits Thu Sep 3 18:10:52 2026 initial square root is modulo 470413 Thu Sep 3 18:15:42 2026 GCD is N, no factor found Thu Sep 3 18:15:42 2026 reading relations for dependency 2 Thu Sep 3 18:15:43 2026 read 5946177 cycles Thu Sep 3 18:15:53 2026 cycles contain 21943228 unique relations Thu Sep 3 18:16:56 2026 read 21943228 relations Thu Sep 3 18:17:58 2026 multiplying 21943228 relations Thu Sep 3 18:20:15 2026 multiply complete, coefficients have about 1264.81 million bits Thu Sep 3 18:20:18 2026 initial square root is modulo 471721 Thu Sep 3 18:25:07 2026 sqrtTime: 1457 Thu Sep 3 18:25:07 2026 p71 factor: 25478470747359078024193241518202121464177512797413317826234757178940287 Thu Sep 3 18:25:07 2026 p108 factor: 180626813495419608775759753259967617772370517196595034072110195789791068726466997821395026254823578072662953 Thu Sep 3 18:25:07 2026 elapsed time 00:24:18