Thu Aug 27 21:11:16 2026 Thu Aug 27 21:11:16 2026 Thu Aug 27 21:11:16 2026 Msieve v. 1.54 (SVN unknown) Thu Aug 27 21:11:16 2026 random seeds: eabfa7f4 9c820c0b Thu Aug 27 21:11:16 2026 Using 8 OpenMP threads Thu Aug 27 21:11:16 2026 factoring 24581343881356695567164705153295807536202613448169986556662181928759191851778997544418704540899863964345940733292700639804137381065693433537369107421956508131994540213623259799581814630489409307471 (197 digits) Thu Aug 27 21:11:16 2026 no P-1/P+1/ECM available, skipping Thu Aug 27 21:11:16 2026 commencing number field sieve (197-digit input) Thu Aug 27 21:11:16 2026 R0: -111265838593733002967703032074764032798 Thu Aug 27 21:11:16 2026 R1: 161205809665853656925149 Thu Aug 27 21:11:16 2026 A0: -57474785231244374486856928419891414473597967990 Thu Aug 27 21:11:16 2026 A1: 2163515722733065141089133812726405493612 Thu Aug 27 21:11:16 2026 A2: 12363555516660333449575404509287 Thu Aug 27 21:11:16 2026 A3: -381822161615191308772205 Thu Aug 27 21:11:16 2026 A4: -799957204183584 Thu Aug 27 21:11:16 2026 A5: 2882880 Thu Aug 27 21:11:16 2026 skew 156024920.37, size 4.055e-19, alpha -8.010, combined = 1.012e-14 rroots = 5 Thu Aug 27 21:11:16 2026 Thu Aug 27 21:11:16 2026 commencing relation filtering Thu Aug 27 21:11:16 2026 setting 3 target densities:Thu Aug 27 21:11:16 2026 70Thu Aug 27 21:11:16 2026 80Thu Aug 27 21:11:16 2026 130Thu Aug 27 21:11:16 2026 Thu Aug 27 21:11:16 2026 estimated available RAM is 78540.1 MB Thu Aug 27 21:11:16 2026 commencing duplicate removal, pass 1 Thu Aug 27 21:21:07 2026 found 172647968 hash collisions in 702626522 relations Thu Aug 27 21:21:19 2026 added 121948 free relations Thu Aug 27 21:21:19 2026 commencing duplicate removal, pass 2 Thu Aug 27 21:26:25 2026 found 201717796 duplicates and 501030674 unique relations Thu Aug 27 21:26:25 2026 memory use: 5286.0 MB Thu Aug 27 21:26:25 2026 reading ideals above 359989248 Thu Aug 27 21:26:25 2026 commencing singleton removal, initial pass Thu Aug 27 21:42:01 2026 memory use: 11024.0 MB Thu Aug 27 21:42:01 2026 reading all ideals from disk Thu Aug 27 21:42:06 2026 memory use: 12999.0 MB Thu Aug 27 21:42:20 2026 commencing in-memory singleton removal Thu Aug 27 21:42:24 2026 begin with 501030674 relations and 443585185 unique ideals Thu Aug 27 21:43:03 2026 reduce to 304767838 relations and 226568706 ideals in 16 passes Thu Aug 27 21:43:03 2026 max relations containing the same ideal: 43 Thu Aug 27 21:43:10 2026 reading ideals above 720000 Thu Aug 27 21:43:10 2026 commencing singleton removal, initial pass Thu Aug 27 22:00:52 2026 memory use: 6024.0 MB Thu Aug 27 22:00:52 2026 reading all ideals from disk Thu Aug 27 22:01:04 2026 memory use: 15602.7 MB Thu Aug 27 22:01:25 2026 keeping 263574466 ideals with weight <= 200, target excess is 1612877 Thu Aug 27 22:01:52 2026 commencing in-memory singleton removal Thu Aug 27 22:01:57 2026 begin with 304767838 relations and 263574466 unique ideals Thu Aug 27 22:02:31 2026 reduce to 304726693 relations and 263533321 ideals in 9 passes Thu Aug 27 22:02:31 2026 max relations containing the same ideal: 200 Thu Aug 27 22:04:00 2026 removing 15119821 relations and 13119821 ideals in 2000000 cliques Thu Aug 27 22:04:05 2026 commencing in-memory singleton removal Thu Aug 27 22:04:10 2026 begin with 289606872 relations and 263533321 unique ideals Thu Aug 27 22:04:43 2026 reduce to 289031141 relations and 249832469 ideals in 9 passes Thu Aug 27 22:04:43 2026 max relations containing the same ideal: 200 Thu Aug 27 22:06:06 2026 removing 11426641 relations and 9426641 ideals in 2000000 cliques Thu Aug 27 22:06:11 2026 commencing in-memory singleton removal Thu Aug 27 22:06:15 2026 begin with 277604500 relations and 249832469 unique ideals Thu Aug 27 22:06:44 2026 reduce to 277239985 relations and 240038574 ideals in 8 passes Thu Aug 27 22:06:44 2026 max relations containing the same ideal: 197 Thu Aug 27 22:08:03 2026 removing 10271574 relations and 8271574 ideals in 2000000 cliques Thu Aug 27 22:08:08 2026 commencing in-memory singleton removal Thu Aug 27 22:08:12 2026 begin with 266968411 relations and 240038574 unique ideals Thu Aug 27 22:08:36 2026 reduce to 266655716 relations and 231452071 ideals in 7 passes Thu Aug 27 22:08:36 2026 max relations containing the same ideal: 194 Thu Aug 27 22:09:54 2026 removing 9639941 relations and 7639941 ideals in 2000000 cliques Thu Aug 27 22:09:58 2026 commencing in-memory singleton removal Thu Aug 27 22:10:02 2026 begin with 257015775 relations and 231452071 unique ideals Thu Aug 27 22:10:25 2026 reduce to 256726124 relations and 223520378 ideals in 7 passes Thu Aug 27 22:10:25 2026 max relations containing the same ideal: 189 Thu Aug 27 22:11:40 2026 removing 9223474 relations and 7223474 ideals in 2000000 cliques Thu Aug 27 22:11:45 2026 commencing in-memory singleton removal Thu Aug 27 22:11:48 2026 begin with 247502650 relations and 223520378 unique ideals Thu Aug 27 22:12:10 2026 reduce to 247226194 relations and 216018358 ideals in 7 passes Thu Aug 27 22:12:10 2026 max relations containing the same ideal: 184 Thu Aug 27 22:13:23 2026 removing 8935240 relations and 6935240 ideals in 2000000 cliques Thu Aug 27 22:13:27 2026 commencing in-memory singleton removal Thu Aug 27 22:13:31 2026 begin with 238290954 relations and 216018358 unique ideals Thu Aug 27 22:13:52 2026 reduce to 238022668 relations and 208812715 ideals in 7 passes Thu Aug 27 22:13:52 2026 max relations containing the same ideal: 181 Thu Aug 27 22:15:03 2026 removing 8722687 relations and 6722687 ideals in 2000000 cliques Thu Aug 27 22:15:06 2026 commencing in-memory singleton removal Thu Aug 27 22:15:10 2026 begin with 229299981 relations and 208812715 unique ideals Thu Aug 27 22:15:24 2026 reduce to 229032129 relations and 201820151 ideals in 7 passes Thu Aug 27 22:15:24 2026 max relations containing the same ideal: 176 Thu Aug 27 22:16:33 2026 removing 8563918 relations and 6563918 ideals in 2000000 cliques Thu Aug 27 22:16:37 2026 commencing in-memory singleton removal Thu Aug 27 22:16:40 2026 begin with 220468211 relations and 201820151 unique ideals Thu Aug 27 22:16:57 2026 reduce to 220200245 relations and 194986136 ideals in 6 passes Thu Aug 27 22:16:57 2026 max relations containing the same ideal: 171 Thu Aug 27 22:18:04 2026 removing 8450130 relations and 6450130 ideals in 2000000 cliques Thu Aug 27 22:18:08 2026 commencing in-memory singleton removal Thu Aug 27 22:18:11 2026 begin with 211750115 relations and 194986136 unique ideals Thu Aug 27 22:18:30 2026 reduce to 211479184 relations and 188262815 ideals in 7 passes Thu Aug 27 22:18:30 2026 max relations containing the same ideal: 167 Thu Aug 27 22:19:34 2026 removing 8367296 relations and 6367296 ideals in 2000000 cliques Thu Aug 27 22:19:38 2026 commencing in-memory singleton removal Thu Aug 27 22:19:41 2026 begin with 203111888 relations and 188262815 unique ideals Thu Aug 27 22:19:59 2026 reduce to 202836203 relations and 181617545 ideals in 7 passes Thu Aug 27 22:19:59 2026 max relations containing the same ideal: 163 Thu Aug 27 22:21:03 2026 removing 8311451 relations and 6311451 ideals in 2000000 cliques Thu Aug 27 22:21:07 2026 commencing in-memory singleton removal Thu Aug 27 22:21:10 2026 begin with 194524752 relations and 181617545 unique ideals Thu Aug 27 22:21:30 2026 reduce to 194240892 relations and 175019752 ideals in 8 passes Thu Aug 27 22:21:30 2026 max relations containing the same ideal: 159 Thu Aug 27 22:22:30 2026 removing 8272277 relations and 6272277 ideals in 2000000 cliques Thu Aug 27 22:22:33 2026 commencing in-memory singleton removal Thu Aug 27 22:22:36 2026 begin with 185968615 relations and 175019752 unique ideals Thu Aug 27 22:22:53 2026 reduce to 185673738 relations and 168449990 ideals in 7 passes Thu Aug 27 22:22:53 2026 max relations containing the same ideal: 154 Thu Aug 27 22:23:50 2026 removing 8256708 relations and 6256708 ideals in 2000000 cliques Thu Aug 27 22:23:53 2026 commencing in-memory singleton removal Thu Aug 27 22:23:56 2026 begin with 177417030 relations and 168449990 unique ideals Thu Aug 27 22:24:12 2026 reduce to 177110643 relations and 161883853 ideals in 7 passes Thu Aug 27 22:24:12 2026 max relations containing the same ideal: 149 Thu Aug 27 22:25:07 2026 removing 8261680 relations and 6261680 ideals in 2000000 cliques Thu Aug 27 22:25:10 2026 commencing in-memory singleton removal Thu Aug 27 22:25:12 2026 begin with 168848963 relations and 161883853 unique ideals Thu Aug 27 22:25:27 2026 reduce to 168528364 relations and 155298417 ideals in 7 passes Thu Aug 27 22:25:27 2026 max relations containing the same ideal: 147 Thu Aug 27 22:26:21 2026 removing 8283861 relations and 6283861 ideals in 2000000 cliques Thu Aug 27 22:26:24 2026 commencing in-memory singleton removal Thu Aug 27 22:26:26 2026 begin with 160244503 relations and 155298417 unique ideals Thu Aug 27 22:26:42 2026 reduce to 159906287 relations and 148672857 ideals in 8 passes Thu Aug 27 22:26:42 2026 max relations containing the same ideal: 141 Thu Aug 27 22:27:32 2026 removing 8319348 relations and 6319348 ideals in 2000000 cliques Thu Aug 27 22:27:35 2026 commencing in-memory singleton removal Thu Aug 27 22:27:38 2026 begin with 151586939 relations and 148672857 unique ideals Thu Aug 27 22:27:51 2026 reduce to 151226054 relations and 141988744 ideals in 7 passes Thu Aug 27 22:27:51 2026 max relations containing the same ideal: 135 Thu Aug 27 22:28:39 2026 removing 8369593 relations and 6369593 ideals in 2000000 cliques Thu Aug 27 22:28:42 2026 commencing in-memory singleton removal Thu Aug 27 22:28:44 2026 begin with 142856461 relations and 141988744 unique ideals Thu Aug 27 22:28:58 2026 reduce to 142470915 relations and 135229200 ideals in 8 passes Thu Aug 27 22:28:58 2026 max relations containing the same ideal: 133 Thu Aug 27 22:29:40 2026 removing 8445315 relations and 6445315 ideals in 2000000 cliques Thu Aug 27 22:29:43 2026 commencing in-memory singleton removal Thu Aug 27 22:29:45 2026 begin with 134025600 relations and 135229200 unique ideals Thu Aug 27 22:30:00 2026 reduce to 133610465 relations and 128363705 ideals in 8 passes Thu Aug 27 22:30:00 2026 max relations containing the same ideal: 127 Thu Aug 27 22:30:49 2026 removing 8543436 relations and 6543436 ideals in 2000000 cliques Thu Aug 27 22:30:52 2026 commencing in-memory singleton removal Thu Aug 27 22:30:54 2026 begin with 125067029 relations and 128363705 unique ideals Thu Aug 27 22:31:09 2026 reduce to 124610186 relations and 121357499 ideals in 8 passes Thu Aug 27 22:31:09 2026 max relations containing the same ideal: 121 Thu Aug 27 22:31:54 2026 removing 6421827 relations and 5040078 ideals in 1381749 cliques Thu Aug 27 22:31:56 2026 commencing in-memory singleton removal Thu Aug 27 22:31:58 2026 begin with 118188359 relations and 121357499 unique ideals Thu Aug 27 22:32:12 2026 reduce to 117918318 relations and 116044767 ideals in 8 passes Thu Aug 27 22:32:12 2026 max relations containing the same ideal: 116 Thu Aug 27 22:32:56 2026 trying target density 70 Thu Aug 27 22:33:06 2026 relations with 0 large ideals: 6013 Thu Aug 27 22:33:06 2026 relations with 1 large ideals: 13867 Thu Aug 27 22:33:06 2026 relations with 2 large ideals: 237105 Thu Aug 27 22:33:06 2026 relations with 3 large ideals: 1808589 Thu Aug 27 22:33:06 2026 relations with 4 large ideals: 7508242 Thu Aug 27 22:33:06 2026 relations with 5 large ideals: 18843208 Thu Aug 27 22:33:06 2026 relations with 6 large ideals: 29938624 Thu Aug 27 22:33:06 2026 relations with 7+ large ideals: 59562670 Thu Aug 27 22:33:06 2026 commencing 2-way merge Thu Aug 27 22:34:10 2026 reduce to 74244747 relation sets and 72371196 unique ideals Thu Aug 27 22:34:10 2026 commencing full merge Thu Aug 27 22:47:44 2026 memory use: 8274.8 MB Thu Aug 27 22:47:52 2026 found 41161607 cycles, need 40901396 Thu Aug 27 22:48:04 2026 weight of 40901396 cycles is about 2863305937 (70.01/cycle) Thu Aug 27 22:48:04 2026 distribution of cycle lengths: Thu Aug 27 22:48:04 2026 1 relations: 6160711 Thu Aug 27 22:48:04 2026 2 relations: 5620193 Thu Aug 27 22:48:04 2026 3 relations: 5448911 Thu Aug 27 22:48:04 2026 4 relations: 4894140 Thu Aug 27 22:48:04 2026 5 relations: 4487529 Thu Aug 27 22:48:04 2026 6 relations: 3842956 Thu Aug 27 22:48:04 2026 7 relations: 3160340 Thu Aug 27 22:48:04 2026 8 relations: 2459125 Thu Aug 27 22:48:04 2026 9 relations: 1824204 Thu Aug 27 22:48:04 2026 10+ relations: 3003287 Thu Aug 27 22:48:04 2026 heaviest cycle: 17 relations Thu Aug 27 22:48:13 2026 commencing cycle optimization Thu Aug 27 22:49:09 2026 start with 190386035 relations Thu Aug 27 22:52:21 2026 pruned 3640630 relations Thu Aug 27 22:52:24 2026 memory use: 6771.1 MB Thu Aug 27 22:52:24 2026 distribution of cycle lengths: Thu Aug 27 22:52:24 2026 1 relations: 6160711 Thu Aug 27 22:52:24 2026 2 relations: 5733635 Thu Aug 27 22:52:24 2026 3 relations: 5616520 Thu Aug 27 22:52:24 2026 4 relations: 4989996 Thu Aug 27 22:52:24 2026 5 relations: 4567464 Thu Aug 27 22:52:24 2026 6 relations: 3868654 Thu Aug 27 22:52:24 2026 7 relations: 3159537 Thu Aug 27 22:52:24 2026 8 relations: 2413628 Thu Aug 27 22:52:24 2026 9 relations: 1752196 Thu Aug 27 22:52:24 2026 10+ relations: 2639055 Thu Aug 27 22:52:24 2026 heaviest cycle: 16 relations Thu Aug 27 22:53:21 2026 trying target density 80 Thu Aug 27 22:53:32 2026 relations with 0 large ideals: 6013 Thu Aug 27 22:53:32 2026 relations with 1 large ideals: 13867 Thu Aug 27 22:53:32 2026 relations with 2 large ideals: 237105 Thu Aug 27 22:53:32 2026 relations with 3 large ideals: 1808589 Thu Aug 27 22:53:32 2026 relations with 4 large ideals: 7508242 Thu Aug 27 22:53:32 2026 relations with 5 large ideals: 18843208 Thu Aug 27 22:53:32 2026 relations with 6 large ideals: 29938624 Thu Aug 27 22:53:32 2026 relations with 7+ large ideals: 59562670 Thu Aug 27 22:53:32 2026 commencing 2-way merge Thu Aug 27 22:54:32 2026 reduce to 74244747 relation sets and 72371196 unique ideals Thu Aug 27 22:54:32 2026 commencing full merge Thu Aug 27 23:08:04 2026 memory use: 8406.5 MB Thu Aug 27 23:08:11 2026 found 39006299 cycles, need 38747396 Thu Aug 27 23:08:19 2026 weight of 38747396 cycles is about 3099875099 (80.00/cycle) Thu Aug 27 23:08:19 2026 distribution of cycle lengths: Thu Aug 27 23:08:19 2026 1 relations: 5004932 Thu Aug 27 23:08:19 2026 2 relations: 4555015 Thu Aug 27 23:08:19 2026 3 relations: 4585114 Thu Aug 27 23:08:19 2026 4 relations: 4278113 Thu Aug 27 23:08:19 2026 5 relations: 3958764 Thu Aug 27 23:08:19 2026 6 relations: 3541714 Thu Aug 27 23:08:19 2026 7 relations: 3107791 Thu Aug 27 23:08:19 2026 8 relations: 2600258 Thu Aug 27 23:08:19 2026 9 relations: 2081049 Thu Aug 27 23:08:19 2026 10+ relations: 5034646 Thu Aug 27 23:08:19 2026 heaviest cycle: 19 relations Thu Aug 27 23:08:25 2026 commencing cycle optimization Thu Aug 27 23:09:13 2026 start with 206209114 relations Thu Aug 27 23:12:19 2026 pruned 4897775 relations Thu Aug 27 23:12:22 2026 memory use: 6947.2 MB Thu Aug 27 23:12:22 2026 distribution of cycle lengths: Thu Aug 27 23:12:22 2026 1 relations: 5004932 Thu Aug 27 23:12:22 2026 2 relations: 4660252 Thu Aug 27 23:12:22 2026 3 relations: 4744700 Thu Aug 27 23:12:22 2026 4 relations: 4382078 Thu Aug 27 23:12:22 2026 5 relations: 4058266 Thu Aug 27 23:12:22 2026 6 relations: 3599557 Thu Aug 27 23:12:22 2026 7 relations: 3142258 Thu Aug 27 23:12:22 2026 8 relations: 2591137 Thu Aug 27 23:12:22 2026 9 relations: 2043950 Thu Aug 27 23:12:22 2026 10+ relations: 4520266 Thu Aug 27 23:12:22 2026 heaviest cycle: 19 relations Thu Aug 27 23:13:07 2026 trying target density 130 Thu Aug 27 23:13:16 2026 relations with 0 large ideals: 6013 Thu Aug 27 23:13:16 2026 relations with 1 large ideals: 13867 Thu Aug 27 23:13:16 2026 relations with 2 large ideals: 237105 Thu Aug 27 23:13:16 2026 relations with 3 large ideals: 1808589 Thu Aug 27 23:13:16 2026 relations with 4 large ideals: 7508242 Thu Aug 27 23:13:16 2026 relations with 5 large ideals: 18843208 Thu Aug 27 23:13:16 2026 relations with 6 large ideals: 29938624 Thu Aug 27 23:13:16 2026 relations with 7+ large ideals: 59562670 Thu Aug 27 23:13:16 2026 commencing 2-way merge Thu Aug 27 23:14:05 2026 reduce to 74244747 relation sets and 72371196 unique ideals Thu Aug 27 23:14:05 2026 commencing full merge Thu Aug 27 23:34:27 2026 memory use: 8954.4 MB Thu Aug 27 23:34:32 2026 found 32737105 cycles, need 32681396 Thu Aug 27 23:34:40 2026 weight of 32681396 cycles is about 4248751355 (130.01/cycle) Thu Aug 27 23:34:40 2026 distribution of cycle lengths: Thu Aug 27 23:34:40 2026 1 relations: 2203281 Thu Aug 27 23:34:40 2026 2 relations: 2304148 Thu Aug 27 23:34:40 2026 3 relations: 2408216 Thu Aug 27 23:34:40 2026 4 relations: 2353526 Thu Aug 27 23:34:40 2026 5 relations: 2349276 Thu Aug 27 23:34:40 2026 6 relations: 2269692 Thu Aug 27 23:34:40 2026 7 relations: 2189507 Thu Aug 27 23:34:40 2026 8 relations: 2083157 Thu Aug 27 23:34:40 2026 9 relations: 1969305 Thu Aug 27 23:34:40 2026 10+ relations: 12551288 Thu Aug 27 23:34:40 2026 heaviest cycle: 28 relations Thu Aug 27 23:34:45 2026 commencing cycle optimization Thu Aug 27 23:35:42 2026 start with 280525095 relations Thu Aug 27 23:43:12 2026 pruned 11647032 relations Thu Aug 27 23:43:12 2026 memory use: 7723.4 MB Thu Aug 27 23:43:12 2026 distribution of cycle lengths: Thu Aug 27 23:43:12 2026 1 relations: 2203281 Thu Aug 27 23:43:12 2026 2 relations: 2364946 Thu Aug 27 23:43:12 2026 3 relations: 2508987 Thu Aug 27 23:43:12 2026 4 relations: 2444334 Thu Aug 27 23:43:12 2026 5 relations: 2452769 Thu Aug 27 23:43:12 2026 6 relations: 2361208 Thu Aug 27 23:43:12 2026 7 relations: 2284622 Thu Aug 27 23:43:12 2026 8 relations: 2163311 Thu Aug 27 23:43:12 2026 9 relations: 2040544 Thu Aug 27 23:43:12 2026 10+ relations: 11857394 Thu Aug 27 23:43:12 2026 heaviest cycle: 28 relations Thu Aug 27 23:43:58 2026 RelProcTime: 9162 Thu Aug 27 23:43:58 2026 Thu Aug 27 23:43:58 2026 commencing linear algebra Thu Aug 27 23:43:58 2026 using VBITS=256 Thu Aug 27 23:43:58 2026 building matrices for all densities Thu Aug 27 23:43:58 2026 found 3 density files Thu Aug 27 23:43:58 2026 building matrix for density 70 Thu Aug 27 23:44:15 2026 read 40901396 cycles Thu Aug 27 23:45:03 2026 cycles contain 116652335 unique relations Thu Aug 27 23:52:29 2026 read 116652335 relations Thu Aug 27 23:53:02 2026 using 20 quadratic characters above 4294917295 Thu Aug 27 23:53:39 2026 building initial matrix Fri Aug 28 00:05:35 2026 memory use: 16486.7 MB Fri Aug 28 00:05:44 2026 read 40901396 cycles Fri Aug 28 00:05:47 2026 matrix is 40901218 x 40901396 (12501.1 MB) with weight 3873100806 (94.69/col) Fri Aug 28 00:05:47 2026 sparse part has weight 2786276657 (68.12/col) Fri Aug 28 00:09:38 2026 filtering completed in 2 passes Fri Aug 28 00:09:43 2026 matrix is 40881226 x 40881399 (12499.8 MB) with weight 3872498487 (94.73/col) Fri Aug 28 00:09:43 2026 sparse part has weight 2786170648 (68.15/col) Fri Aug 28 00:10:34 2026 building matrix for density 80 Fri Aug 28 00:10:37 2026 read 38747396 cycles Fri Aug 28 00:11:14 2026 cycles contain 116691842 unique relations Fri Aug 28 00:13:57 2026 read 116691842 relations Fri Aug 28 00:14:29 2026 using 20 quadratic characters above 4294917295 Fri Aug 28 00:15:07 2026 building initial matrix Fri Aug 28 00:27:55 2026 memory use: 16481.2 MB Fri Aug 28 00:28:04 2026 read 38747396 cycles Fri Aug 28 00:28:08 2026 matrix is 38747218 x 38747396 (13186.2 MB) with weight 4065976453 (104.94/col) Fri Aug 28 00:28:08 2026 sparse part has weight 2991718199 (77.21/col) Fri Aug 28 00:32:03 2026 filtering completed in 2 passes Fri Aug 28 00:32:09 2026 matrix is 38735462 x 38735635 (13185.4 MB) with weight 4065581482 (104.96/col) Fri Aug 28 00:32:09 2026 sparse part has weight 2991637859 (77.23/col) Fri Aug 28 00:33:02 2026 building matrix for density 130 Fri Aug 28 00:33:04 2026 read 32681396 cycles Fri Aug 28 00:33:45 2026 cycles contain 116749959 unique relations Fri Aug 28 00:36:05 2026 read 116749959 relations Fri Aug 28 00:36:42 2026 using 20 quadratic characters above 4294917295 Fri Aug 28 00:37:19 2026 building initial matrix Fri Aug 28 00:53:28 2026 memory use: 16560.9 MB Fri Aug 28 00:53:37 2026 read 32681396 cycles Fri Aug 28 00:53:41 2026 matrix is 32681219 x 32681396 (16591.9 MB) with weight 5005326750 (153.16/col) Fri Aug 28 00:53:41 2026 sparse part has weight 3957281659 (121.09/col) Fri Aug 28 00:58:41 2026 filtering completed in 2 passes Fri Aug 28 00:58:48 2026 matrix is 32680598 x 32680772 (16591.8 MB) with weight 5005299032 (153.16/col) Fri Aug 28 00:58:48 2026 sparse part has weight 3957275224 (121.09/col) Fri Aug 28 00:59:46 2026 BLanczosTime: 4548 Fri Aug 28 00:59:46 2026 elapsed time 03:48:30 Fri Aug 28 23:52:09 2026 Fri Aug 28 23:52:09 2026 Fri Aug 28 23:52:09 2026 Msieve v. 1.54 (SVN unknown) Fri Aug 28 23:52:09 2026 random seeds: a3fc6280 6579a594 Fri Aug 28 23:52:09 2026 factoring 24581343881356695567164705153295807536202613448169986556662181928759191851778997544418704540899863964345940733292700639804137381065693433537369107421956508131994540213623259799581814630489409307471 (197 digits) Fri Aug 28 23:52:09 2026 no P-1/P+1/ECM available, skipping Fri Aug 28 23:52:09 2026 commencing number field sieve (197-digit input) Fri Aug 28 23:52:09 2026 R0: -111265838593733002967703032074764032798 Fri Aug 28 23:52:09 2026 R1: 161205809665853656925149 Fri Aug 28 23:52:09 2026 A0: -57474785231244374486856928419891414473597967990 Fri Aug 28 23:52:09 2026 A1: 2163515722733065141089133812726405493612 Fri Aug 28 23:52:09 2026 A2: 12363555516660333449575404509287 Fri Aug 28 23:52:09 2026 A3: -381822161615191308772205 Fri Aug 28 23:52:09 2026 A4: -799957204183584 Fri Aug 28 23:52:09 2026 A5: 2882880 Fri Aug 28 23:52:09 2026 skew 156024920.37, size 4.055e-19, alpha -8.010, combined = 1.012e-14 rroots = 5 Fri Aug 28 23:52:09 2026 Fri Aug 28 23:52:09 2026 commencing linear algebra Fri Aug 28 23:52:09 2026 using VBITS=256 Fri Aug 28 23:52:09 2026 skipping matrix build Fri Aug 28 23:52:20 2026 matrix starts at (0, 0) Fri Aug 28 23:52:25 2026 matrix is 40881226 x 40881399 (12499.8 MB) with weight 3872498487 (94.73/col) Fri Aug 28 23:52:25 2026 sparse part has weight 2786170648 (68.15/col) Fri Aug 28 23:52:25 2026 saving the first 240 matrix rows for later Fri Aug 28 23:52:37 2026 matrix includes 256 packed rows Fri Aug 28 23:52:47 2026 matrix is 40880986 x 40881399 (11682.6 MB) with weight 2557538378 (62.56/col) Fri Aug 28 23:52:47 2026 sparse part has weight 2408422446 (58.91/col) Fri Aug 28 23:52:47 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Fri Aug 28 23:52:47 2026 selected card has CUDA arch 12.0 Fri Aug 28 23:52:48 2026 computed block_nnz 128000000 (L2 cache 100663296 bytes, average column weight 58.9) Fri Aug 28 23:52:48 2026 nonzeros per matrix block: 256000000 Sat Aug 29 00:00:53 2026 commencing Lanczos iteration Sat Aug 29 00:00:57 2026 memory use: 31474.6 MB Sat Aug 29 00:01:39 2026 linear algebra at 0.1%, ETA 14h27m Sat Aug 29 00:02:37 2026 checking every 40000 dimensions, checkpointing every 2880000 dimensions Sat Aug 29 14:22:01 2026 lanczos halted after 160170 iterations (dim = 40880984) Sat Aug 29 14:27:07 2026 recovered 30 nontrivial dependencies Sat Aug 29 14:27:08 2026 BLanczosTime: 52499 Sat Aug 29 14:27:08 2026 elapsed time 14:34:59 Sat Aug 29 11:05:49 2026 Sat Aug 29 11:05:49 2026 Sat Aug 29 11:05:49 2026 Msieve v. 1.54 (SVN unknown) Sat Aug 29 11:05:49 2026 random seeds: 0bf99a7e 2e920227 Sat Aug 29 11:05:49 2026 Using 14 OpenMP threads Sat Aug 29 11:05:49 2026 factoring 24581343881356695567164705153295807536202613448169986556662181928759191851778997544418704540899863964345940733292700639804137381065693433537369107421956508131994540213623259799581814630489409307471 (197 digits) Sat Aug 29 11:05:49 2026 no P-1/P+1/ECM available, skipping Sat Aug 29 11:05:49 2026 commencing number field sieve (197-digit input) Sat Aug 29 11:05:49 2026 R0: -111265838593733002967703032074764032798 Sat Aug 29 11:05:49 2026 R1: 161205809665853656925149 Sat Aug 29 11:05:49 2026 A0: -57474785231244374486856928419891414473597967990 Sat Aug 29 11:05:49 2026 A1: 2163515722733065141089133812726405493612 Sat Aug 29 11:05:49 2026 A2: 12363555516660333449575404509287 Sat Aug 29 11:05:49 2026 A3: -381822161615191308772205 Sat Aug 29 11:05:49 2026 A4: -799957204183584 Sat Aug 29 11:05:49 2026 A5: 2882880 Sat Aug 29 11:05:49 2026 skew 156024920.37, size 4.055e-19, alpha -8.010, combined = 1.012e-14 rroots = 5 Sat Aug 29 11:05:49 2026 Sat Aug 29 11:05:49 2026 commencing square root phase Sat Aug 29 11:05:49 2026 reading relations for dependency 1 Sat Aug 29 11:05:53 2026 read 20438383 cycles Sat Aug 29 11:06:19 2026 cycles contain 58321410 unique relations Sat Aug 29 11:09:52 2026 read 58321410 relations Sat Aug 29 11:13:40 2026 multiplying 58321410 relations Sat Aug 29 11:20:08 2026 multiply complete, coefficients have about 3679.40 million bits Sat Aug 29 11:20:15 2026 initial square root is modulo 178801097 Sat Aug 29 11:32:56 2026 GCD is 1, no factor found Sat Aug 29 11:32:56 2026 reading relations for dependency 2 Sat Aug 29 11:32:58 2026 read 20445575 cycles Sat Aug 29 11:33:15 2026 cycles contain 58337498 unique relations Sat Aug 29 11:35:34 2026 read 58337498 relations Sat Aug 29 11:38:16 2026 multiplying 58337498 relations Sat Aug 29 11:44:40 2026 multiply complete, coefficients have about 3680.39 million bits Sat Aug 29 11:44:46 2026 initial square root is modulo 179711599 Sat Aug 29 11:57:22 2026 GCD is N, no factor found Sat Aug 29 11:57:22 2026 reading relations for dependency 3 Sat Aug 29 11:57:25 2026 read 20444364 cycles Sat Aug 29 11:57:42 2026 cycles contain 58337404 unique relations Sat Aug 29 11:59:52 2026 read 58337404 relations Sat Aug 29 12:02:37 2026 multiplying 58337404 relations Sat Aug 29 12:08:55 2026 multiply complete, coefficients have about 3680.38 million bits Sat Aug 29 12:09:01 2026 initial square root is modulo 179700811 Sat Aug 29 12:21:34 2026 sqrtTime: 4545 Sat Aug 29 12:21:34 2026 p81 factor: 169958479426516251781001620688945514095317244410976837277732855496501037592097883 Sat Aug 29 12:21:34 2026 p117 factor: 144631465074884702832802115260741985248695067891202390311855503539201237921358385493863614299131940853926700752932637 Sat Aug 29 12:21:34 2026 elapsed time 01:15:45