Wed Jul 29 12:30:20 2026 Wed Jul 29 12:30:20 2026 Wed Jul 29 12:30:20 2026 Msieve v. 1.54 (SVN unknown) Wed Jul 29 12:30:20 2026 random seeds: d5242b9a 6a7b6027 Wed Jul 29 12:30:20 2026 Using 8 OpenMP threads Wed Jul 29 12:30:20 2026 factoring 42940558071236059626306394444055613189090131255926410327596650645989855481207589827729783859820893647878967892796784336206722269595709457227965616133822625941133790398589824988253 (179 digits) Wed Jul 29 12:30:20 2026 no P-1/P+1/ECM available, skipping Wed Jul 29 12:30:20 2026 commencing number field sieve (179-digit input) Wed Jul 29 12:30:20 2026 R0: -56346704773036900922268457792672774 Wed Jul 29 12:30:20 2026 R1: 3562695461419853653507 Wed Jul 29 12:30:20 2026 A0: 328053536041277943747895047973599314063400 Wed Jul 29 12:30:20 2026 A1: -38510305359595236724095798636157247 Wed Jul 29 12:30:20 2026 A2: -15856547181864556674511994166 Wed Jul 29 12:30:20 2026 A3: 868456899377863161377 Wed Jul 29 12:30:20 2026 A4: 54078258951276 Wed Jul 29 12:30:20 2026 A5: 453600 Wed Jul 29 12:30:20 2026 skew 12398865.98, size 2.497e-17, alpha -7.009, combined = 1.259e-13 rroots = 5 Wed Jul 29 12:30:20 2026 Wed Jul 29 12:30:20 2026 commencing relation filtering Wed Jul 29 12:30:20 2026 setting 3 target densities:Wed Jul 29 12:30:20 2026 90Wed Jul 29 12:30:20 2026 110Wed Jul 29 12:30:20 2026 130Wed Jul 29 12:30:20 2026 Wed Jul 29 12:30:20 2026 estimated available RAM is 78540.1 MB Wed Jul 29 12:30:20 2026 commencing duplicate removal, pass 1 Wed Jul 29 12:30:36 2026 error -1 reading relation 3866620 Wed Jul 29 12:30:40 2026 error -1 reading relation 5331604 Wed Jul 29 12:30:47 2026 error -1 reading relation 7207165 Wed Jul 29 12:31:42 2026 error -1 reading relation 22197904 Wed Jul 29 12:31:42 2026 error -1 reading relation 22201799 Wed Jul 29 12:31:44 2026 error -1 reading relation 22552144 Wed Jul 29 12:31:44 2026 error -1 reading relation 22559897 Wed Jul 29 12:31:44 2026 error -1 reading relation 22759821 Wed Jul 29 12:31:44 2026 error -1 reading relation 22763797 Wed Jul 29 12:31:48 2026 error -1 reading relation 23750263 Wed Jul 29 12:32:48 2026 error -1 reading relation 41575298 Wed Jul 29 12:32:49 2026 error -1 reading relation 41817156 Wed Jul 29 12:32:54 2026 error -1 reading relation 43122329 Wed Jul 29 12:34:28 2026 error -1 reading relation 70933336 Wed Jul 29 12:34:28 2026 error -1 reading relation 71073247 Wed Jul 29 12:35:35 2026 error -1 reading relation 90196313 Wed Jul 29 12:37:07 2026 error -1 reading relation 115187003 Wed Jul 29 12:37:23 2026 error -1 reading relation 119901936 Wed Jul 29 12:37:30 2026 error -1 reading relation 121343924 Wed Jul 29 12:37:54 2026 error -1 reading relation 127268488 Wed Jul 29 12:38:35 2026 error -1 reading relation 138354350 Wed Jul 29 12:38:39 2026 error -1 reading relation 139659495 Wed Jul 29 12:41:29 2026 error -1 reading relation 189117954 Wed Jul 29 12:42:38 2026 error -1 reading relation 208281540 Wed Jul 29 12:43:04 2026 error -1 reading relation 215569252 Wed Jul 29 12:43:14 2026 error -1 reading relation 218591954 Wed Jul 29 12:44:01 2026 error -1 reading relation 232179529 Wed Jul 29 12:46:11 2026 error -1 reading relation 270077572 Wed Jul 29 12:46:31 2026 error -1 reading relation 275815027 Wed Jul 29 12:47:54 2026 error -1 reading relation 299805042 Wed Jul 29 12:48:02 2026 error -1 reading relation 301985569 Wed Jul 29 12:48:25 2026 error -1 reading relation 308937543 Wed Jul 29 12:48:28 2026 error -1 reading relation 309788388 Wed Jul 29 12:48:50 2026 error -1 reading relation 316520064 Wed Jul 29 12:49:03 2026 error -1 reading relation 320147906 Wed Jul 29 12:49:17 2026 error -1 reading relation 324752074 Wed Jul 29 12:49:22 2026 error -1 reading relation 326514523 Wed Jul 29 12:49:22 2026 error -1 reading relation 326520634 Wed Jul 29 12:49:25 2026 skipped 296 malformed relations Wed Jul 29 12:49:25 2026 found 62925626 hash collisions in 327230290 relations Wed Jul 29 12:49:42 2026 added 121697 free relations Wed Jul 29 12:49:42 2026 commencing duplicate removal, pass 2 Wed Jul 29 12:53:13 2026 found 65465598 duplicates and 261886389 unique relations Wed Jul 29 12:53:13 2026 memory use: 1705.5 MB Wed Jul 29 12:53:13 2026 reading ideals above 720000 Wed Jul 29 12:53:13 2026 commencing singleton removal, initial pass Wed Jul 29 13:25:17 2026 memory use: 6024.0 MB Wed Jul 29 13:25:18 2026 reading all ideals from disk Wed Jul 29 13:25:56 2026 memory use: 12651.5 MB Wed Jul 29 13:26:53 2026 keeping 243658313 ideals with weight <= 200, target excess is 1376844 Wed Jul 29 13:27:36 2026 commencing in-memory singleton removal Wed Jul 29 13:27:44 2026 begin with 261886389 relations and 243658313 unique ideals Wed Jul 29 13:28:39 2026 reduce to 160957016 relations and 132063870 ideals in 13 passes Wed Jul 29 13:28:39 2026 max relations containing the same ideal: 153 Wed Jul 29 13:30:22 2026 removing 11758114 relations and 9758114 ideals in 2000000 cliques Wed Jul 29 13:30:26 2026 commencing in-memory singleton removal Wed Jul 29 13:30:31 2026 begin with 149198902 relations and 132063870 unique ideals Wed Jul 29 13:30:59 2026 reduce to 148552389 relations and 121649061 ideals in 9 passes Wed Jul 29 13:30:59 2026 max relations containing the same ideal: 144 Wed Jul 29 13:32:42 2026 removing 8988148 relations and 6988148 ideals in 2000000 cliques Wed Jul 29 13:32:48 2026 commencing in-memory singleton removal Wed Jul 29 13:32:51 2026 begin with 139564241 relations and 121649061 unique ideals Wed Jul 29 13:33:11 2026 reduce to 139129587 relations and 114220284 ideals in 7 passes Wed Jul 29 13:33:11 2026 max relations containing the same ideal: 140 Wed Jul 29 13:34:28 2026 removing 8148329 relations and 6148329 ideals in 2000000 cliques Wed Jul 29 13:34:32 2026 commencing in-memory singleton removal Wed Jul 29 13:34:35 2026 begin with 130981258 relations and 114220284 unique ideals Wed Jul 29 13:34:55 2026 reduce to 130596028 relations and 107681426 ideals in 8 passes Wed Jul 29 13:34:55 2026 max relations containing the same ideal: 134 Wed Jul 29 13:36:16 2026 removing 7725232 relations and 5725232 ideals in 2000000 cliques Wed Jul 29 13:36:21 2026 commencing in-memory singleton removal Wed Jul 29 13:36:24 2026 begin with 122870796 relations and 107681426 unique ideals Wed Jul 29 13:36:40 2026 reduce to 122503932 relations and 101584151 ideals in 7 passes Wed Jul 29 13:36:40 2026 max relations containing the same ideal: 129 Wed Jul 29 13:37:48 2026 removing 7465584 relations and 5465584 ideals in 2000000 cliques Wed Jul 29 13:37:52 2026 commencing in-memory singleton removal Wed Jul 29 13:37:54 2026 begin with 115038348 relations and 101584151 unique ideals Wed Jul 29 13:38:16 2026 reduce to 114674032 relations and 95748832 ideals in 9 passes Wed Jul 29 13:38:16 2026 max relations containing the same ideal: 126 Wed Jul 29 13:39:24 2026 removing 7301014 relations and 5301014 ideals in 2000000 cliques Wed Jul 29 13:39:27 2026 commencing in-memory singleton removal Wed Jul 29 13:39:30 2026 begin with 107373018 relations and 95748832 unique ideals Wed Jul 29 13:39:45 2026 reduce to 107003270 relations and 90072258 ideals in 7 passes Wed Jul 29 13:39:45 2026 max relations containing the same ideal: 122 Wed Jul 29 13:40:44 2026 removing 7195880 relations and 5195880 ideals in 2000000 cliques Wed Jul 29 13:40:47 2026 commencing in-memory singleton removal Wed Jul 29 13:40:50 2026 begin with 99807390 relations and 90072258 unique ideals Wed Jul 29 13:41:05 2026 reduce to 99424647 relations and 84487181 ideals in 8 passes Wed Jul 29 13:41:05 2026 max relations containing the same ideal: 120 Wed Jul 29 13:41:58 2026 removing 7137516 relations and 5137516 ideals in 2000000 cliques Wed Jul 29 13:42:00 2026 commencing in-memory singleton removal Wed Jul 29 13:42:03 2026 begin with 92287131 relations and 84487181 unique ideals Wed Jul 29 13:42:15 2026 reduce to 91885727 relations and 78941103 ideals in 7 passes Wed Jul 29 13:42:15 2026 max relations containing the same ideal: 114 Wed Jul 29 13:43:11 2026 removing 7113530 relations and 5113530 ideals in 2000000 cliques Wed Jul 29 13:43:14 2026 commencing in-memory singleton removal Wed Jul 29 13:43:16 2026 begin with 84772197 relations and 78941103 unique ideals Wed Jul 29 13:43:32 2026 reduce to 84340756 relations and 73388034 ideals in 9 passes Wed Jul 29 13:43:32 2026 max relations containing the same ideal: 104 Wed Jul 29 13:44:25 2026 removing 7128383 relations and 5128383 ideals in 2000000 cliques Wed Jul 29 13:44:28 2026 commencing in-memory singleton removal Wed Jul 29 13:44:30 2026 begin with 77212373 relations and 73388034 unique ideals Wed Jul 29 13:44:43 2026 reduce to 76738107 relations and 67775899 ideals in 7 passes Wed Jul 29 13:44:43 2026 max relations containing the same ideal: 96 Wed Jul 29 13:45:32 2026 removing 7177955 relations and 5177955 ideals in 2000000 cliques Wed Jul 29 13:45:35 2026 commencing in-memory singleton removal Wed Jul 29 13:45:37 2026 begin with 69560152 relations and 67775899 unique ideals Wed Jul 29 13:45:52 2026 reduce to 69033363 relations and 62059392 ideals in 9 passes Wed Jul 29 13:45:52 2026 max relations containing the same ideal: 90 Wed Jul 29 13:46:35 2026 removing 7263236 relations and 5263236 ideals in 2000000 cliques Wed Jul 29 13:46:37 2026 commencing in-memory singleton removal Wed Jul 29 13:46:39 2026 begin with 61770127 relations and 62059392 unique ideals Wed Jul 29 13:46:51 2026 reduce to 61163787 relations and 56174899 ideals in 8 passes Wed Jul 29 13:46:51 2026 max relations containing the same ideal: 79 Wed Jul 29 13:47:30 2026 removing 7392438 relations and 5392438 ideals in 2000000 cliques Wed Jul 29 13:47:33 2026 commencing in-memory singleton removal Wed Jul 29 13:47:34 2026 begin with 53771349 relations and 56174899 unique ideals Wed Jul 29 13:47:43 2026 reduce to 53051621 relations and 50042702 ideals in 8 passes Wed Jul 29 13:47:43 2026 max relations containing the same ideal: 71 Wed Jul 29 13:48:19 2026 removing 5761700 relations and 4349921 ideals in 1411779 cliques Wed Jul 29 13:48:21 2026 commencing in-memory singleton removal Wed Jul 29 13:48:22 2026 begin with 47289921 relations and 50042702 unique ideals Wed Jul 29 13:48:30 2026 reduce to 46790488 relations and 45182056 ideals in 9 passes Wed Jul 29 13:48:30 2026 max relations containing the same ideal: 67 Wed Jul 29 13:49:01 2026 removing 99383 relations and 88091 ideals in 11292 cliques Wed Jul 29 13:49:02 2026 commencing in-memory singleton removal Wed Jul 29 13:49:02 2026 begin with 46691105 relations and 45182056 unique ideals Wed Jul 29 13:49:07 2026 reduce to 46690941 relations and 45093801 ideals in 5 passes Wed Jul 29 13:49:07 2026 max relations containing the same ideal: 67 Wed Jul 29 13:49:08 2026 trying target density 90 Wed Jul 29 13:49:13 2026 relations with 0 large ideals: 5015 Wed Jul 29 13:49:13 2026 relations with 1 large ideals: 29433 Wed Jul 29 13:49:13 2026 relations with 2 large ideals: 401990 Wed Jul 29 13:49:13 2026 relations with 3 large ideals: 2261225 Wed Jul 29 13:49:13 2026 relations with 4 large ideals: 6729997 Wed Jul 29 13:49:13 2026 relations with 5 large ideals: 11775378 Wed Jul 29 13:49:13 2026 relations with 6 large ideals: 12673987 Wed Jul 29 13:49:13 2026 relations with 7+ large ideals: 12813916 Wed Jul 29 13:49:13 2026 commencing 2-way merge Wed Jul 29 13:49:54 2026 reduce to 28906867 relation sets and 27309727 unique ideals Wed Jul 29 13:49:54 2026 commencing full merge Wed Jul 29 14:02:52 2026 memory use: 3245.6 MB Wed Jul 29 14:02:58 2026 found 14325029 cycles, need 14109927 Wed Jul 29 14:03:05 2026 weight of 14109927 cycles is about 1270409197 (90.04/cycle) Wed Jul 29 14:03:05 2026 distribution of cycle lengths: Wed Jul 29 14:03:05 2026 1 relations: 1456497 Wed Jul 29 14:03:05 2026 2 relations: 1340671 Wed Jul 29 14:03:05 2026 3 relations: 1375220 Wed Jul 29 14:03:05 2026 4 relations: 1356704 Wed Jul 29 14:03:05 2026 5 relations: 1312097 Wed Jul 29 14:03:05 2026 6 relations: 1259067 Wed Jul 29 14:03:05 2026 7 relations: 1153561 Wed Jul 29 14:03:05 2026 8 relations: 1024344 Wed Jul 29 14:03:05 2026 9 relations: 879118 Wed Jul 29 14:03:05 2026 10+ relations: 2952648 Wed Jul 29 14:03:05 2026 heaviest cycle: 21 relations Wed Jul 29 14:03:11 2026 commencing cycle optimization Wed Jul 29 14:03:51 2026 start with 88407434 relations Wed Jul 29 14:07:36 2026 pruned 2658215 relations Wed Jul 29 14:07:39 2026 memory use: 2802.0 MB Wed Jul 29 14:07:39 2026 distribution of cycle lengths: Wed Jul 29 14:07:39 2026 1 relations: 1456497 Wed Jul 29 14:07:39 2026 2 relations: 1373385 Wed Jul 29 14:07:39 2026 3 relations: 1426839 Wed Jul 29 14:07:39 2026 4 relations: 1399476 Wed Jul 29 14:07:39 2026 5 relations: 1360648 Wed Jul 29 14:07:39 2026 6 relations: 1296762 Wed Jul 29 14:07:39 2026 7 relations: 1187131 Wed Jul 29 14:07:39 2026 8 relations: 1041837 Wed Jul 29 14:07:39 2026 9 relations: 885154 Wed Jul 29 14:07:39 2026 10+ relations: 2682198 Wed Jul 29 14:07:39 2026 heaviest cycle: 20 relations Wed Jul 29 14:08:24 2026 trying target density 110 Wed Jul 29 14:08:29 2026 relations with 0 large ideals: 5015 Wed Jul 29 14:08:29 2026 relations with 1 large ideals: 29433 Wed Jul 29 14:08:29 2026 relations with 2 large ideals: 401990 Wed Jul 29 14:08:29 2026 relations with 3 large ideals: 2261225 Wed Jul 29 14:08:29 2026 relations with 4 large ideals: 6729997 Wed Jul 29 14:08:29 2026 relations with 5 large ideals: 11775378 Wed Jul 29 14:08:29 2026 relations with 6 large ideals: 12673987 Wed Jul 29 14:08:29 2026 relations with 7+ large ideals: 12813916 Wed Jul 29 14:08:29 2026 commencing 2-way merge Wed Jul 29 14:09:05 2026 reduce to 28906867 relation sets and 27309727 unique ideals Wed Jul 29 14:09:05 2026 commencing full merge Wed Jul 29 14:23:48 2026 memory use: 3334.8 MB Wed Jul 29 14:23:55 2026 found 13360058 cycles, need 13177927 Wed Jul 29 14:24:04 2026 weight of 13177927 cycles is about 1449574704 (110.00/cycle) Wed Jul 29 14:24:04 2026 distribution of cycle lengths: Wed Jul 29 14:24:04 2026 1 relations: 1043869 Wed Jul 29 14:24:04 2026 2 relations: 1007953 Wed Jul 29 14:24:04 2026 3 relations: 1053888 Wed Jul 29 14:24:04 2026 4 relations: 1034991 Wed Jul 29 14:24:04 2026 5 relations: 1036739 Wed Jul 29 14:24:04 2026 6 relations: 1022488 Wed Jul 29 14:24:04 2026 7 relations: 975941 Wed Jul 29 14:24:04 2026 8 relations: 924046 Wed Jul 29 14:24:04 2026 9 relations: 848278 Wed Jul 29 14:24:04 2026 10+ relations: 4229734 Wed Jul 29 14:24:04 2026 heaviest cycle: 25 relations Wed Jul 29 14:24:10 2026 commencing cycle optimization Wed Jul 29 14:24:49 2026 start with 100534860 relations Wed Jul 29 14:29:49 2026 pruned 3793731 relations Wed Jul 29 14:29:51 2026 memory use: 2927.7 MB Wed Jul 29 14:29:51 2026 distribution of cycle lengths: Wed Jul 29 14:29:51 2026 1 relations: 1043869 Wed Jul 29 14:29:51 2026 2 relations: 1033874 Wed Jul 29 14:29:51 2026 3 relations: 1095098 Wed Jul 29 14:29:51 2026 4 relations: 1073477 Wed Jul 29 14:29:51 2026 5 relations: 1082509 Wed Jul 29 14:29:51 2026 6 relations: 1063090 Wed Jul 29 14:29:51 2026 7 relations: 1018832 Wed Jul 29 14:29:51 2026 8 relations: 956950 Wed Jul 29 14:29:51 2026 9 relations: 875294 Wed Jul 29 14:29:51 2026 10+ relations: 3934934 Wed Jul 29 14:29:51 2026 heaviest cycle: 25 relations Wed Jul 29 14:30:33 2026 trying target density 130 Wed Jul 29 14:30:38 2026 relations with 0 large ideals: 5015 Wed Jul 29 14:30:38 2026 relations with 1 large ideals: 29433 Wed Jul 29 14:30:38 2026 relations with 2 large ideals: 401990 Wed Jul 29 14:30:38 2026 relations with 3 large ideals: 2261225 Wed Jul 29 14:30:38 2026 relations with 4 large ideals: 6729997 Wed Jul 29 14:30:38 2026 relations with 5 large ideals: 11775378 Wed Jul 29 14:30:38 2026 relations with 6 large ideals: 12673987 Wed Jul 29 14:30:38 2026 relations with 7+ large ideals: 12813916 Wed Jul 29 14:30:38 2026 commencing 2-way merge Wed Jul 29 14:31:31 2026 reduce to 28906867 relation sets and 27309727 unique ideals Wed Jul 29 14:31:31 2026 commencing full merge Wed Jul 29 14:48:35 2026 memory use: 3387.7 MB Wed Jul 29 14:48:41 2026 found 12588169 cycles, need 12499927 Wed Jul 29 14:48:48 2026 weight of 12499927 cycles is about 1625177326 (130.01/cycle) Wed Jul 29 14:48:48 2026 distribution of cycle lengths: Wed Jul 29 14:48:48 2026 1 relations: 761075 Wed Jul 29 14:48:48 2026 2 relations: 796126 Wed Jul 29 14:48:48 2026 3 relations: 841684 Wed Jul 29 14:48:48 2026 4 relations: 838633 Wed Jul 29 14:48:48 2026 5 relations: 847716 Wed Jul 29 14:48:48 2026 6 relations: 840893 Wed Jul 29 14:48:48 2026 7 relations: 834546 Wed Jul 29 14:48:48 2026 8 relations: 803992 Wed Jul 29 14:48:48 2026 9 relations: 766920 Wed Jul 29 14:48:48 2026 10+ relations: 5168342 Wed Jul 29 14:48:48 2026 heaviest cycle: 28 relations Wed Jul 29 14:48:51 2026 commencing cycle optimization Wed Jul 29 14:49:35 2026 start with 112246051 relations Wed Jul 29 14:56:11 2026 pruned 4985235 relations Wed Jul 29 14:56:11 2026 memory use: 3046.8 MB Wed Jul 29 14:56:12 2026 distribution of cycle lengths: Wed Jul 29 14:56:12 2026 1 relations: 761075 Wed Jul 29 14:56:12 2026 2 relations: 816929 Wed Jul 29 14:56:12 2026 3 relations: 875831 Wed Jul 29 14:56:12 2026 4 relations: 872199 Wed Jul 29 14:56:12 2026 5 relations: 888191 Wed Jul 29 14:56:12 2026 6 relations: 879802 Wed Jul 29 14:56:12 2026 7 relations: 877335 Wed Jul 29 14:56:12 2026 8 relations: 842489 Wed Jul 29 14:56:12 2026 9 relations: 803088 Wed Jul 29 14:56:12 2026 10+ relations: 4882988 Wed Jul 29 14:56:12 2026 heaviest cycle: 28 relations Wed Jul 29 14:56:56 2026 RelProcTime: 8796 Wed Jul 29 14:56:56 2026 Wed Jul 29 14:56:56 2026 commencing linear algebra Wed Jul 29 14:56:56 2026 using VBITS=256 Wed Jul 29 14:56:56 2026 building matrices for all densities Wed Jul 29 14:56:56 2026 found 3 density files Wed Jul 29 14:56:56 2026 building matrix for density 90 Wed Jul 29 14:57:04 2026 read 14109927 cycles Wed Jul 29 14:57:34 2026 cycles contain 45673514 unique relations Wed Jul 29 15:07:54 2026 read 45673514 relations Wed Jul 29 15:08:16 2026 using 20 quadratic characters above 4294917295 Wed Jul 29 15:08:43 2026 building initial matrix Wed Jul 29 15:21:14 2026 memory use: 6419.6 MB Wed Jul 29 15:21:26 2026 read 14109927 cycles Wed Jul 29 15:21:29 2026 matrix is 14109747 x 14109927 (5270.5 MB) with weight 1624904261 (115.16/col) Wed Jul 29 15:21:29 2026 sparse part has weight 1212317634 (85.92/col) Wed Jul 29 15:25:09 2026 filtering completed in 2 passes Wed Jul 29 15:25:12 2026 matrix is 14105188 x 14105367 (5270.1 MB) with weight 1624705098 (115.18/col) Wed Jul 29 15:25:12 2026 sparse part has weight 1212252132 (85.94/col) Wed Jul 29 15:26:01 2026 building matrix for density 110 Wed Jul 29 15:26:08 2026 read 13177927 cycles Wed Jul 29 15:26:45 2026 cycles contain 45690016 unique relations Wed Jul 29 15:30:43 2026 read 45690016 relations Wed Jul 29 15:31:08 2026 using 20 quadratic characters above 4294917295 Wed Jul 29 15:31:36 2026 building initial matrix Wed Jul 29 15:44:33 2026 memory use: 6403.1 MB Wed Jul 29 15:44:43 2026 read 13177927 cycles Wed Jul 29 15:44:45 2026 matrix is 13177748 x 13177927 (5799.3 MB) with weight 1771273156 (134.41/col) Wed Jul 29 15:44:45 2026 sparse part has weight 1362107263 (103.36/col) Wed Jul 29 15:48:01 2026 filtering completed in 2 passes Wed Jul 29 15:48:07 2026 matrix is 13175640 x 13175818 (5799.0 MB) with weight 1771164812 (134.43/col) Wed Jul 29 15:48:07 2026 sparse part has weight 1362066768 (103.38/col) Wed Jul 29 15:48:53 2026 building matrix for density 130 Wed Jul 29 15:48:55 2026 read 12499927 cycles Wed Jul 29 15:49:37 2026 cycles contain 45691478 unique relations Wed Jul 29 15:51:44 2026 read 45691478 relations Wed Jul 29 15:52:08 2026 using 20 quadratic characters above 4294917295 Wed Jul 29 15:52:34 2026 building initial matrix Wed Jul 29 16:07:37 2026 memory use: 6422.7 MB Wed Jul 29 16:07:44 2026 read 12499927 cycles Wed Jul 29 16:07:46 2026 matrix is 12499750 x 12499927 (6318.7 MB) with weight 1913726084 (153.10/col) Wed Jul 29 16:07:46 2026 sparse part has weight 1506408925 (120.51/col) Wed Jul 29 16:11:28 2026 filtering completed in 2 passes Wed Jul 29 16:11:33 2026 matrix is 12499066 x 12499241 (6318.6 MB) with weight 1913689128 (153.10/col) Wed Jul 29 16:11:33 2026 sparse part has weight 1506395373 (120.52/col) Wed Jul 29 16:12:28 2026 BLanczosTime: 4532 Wed Jul 29 16:12:28 2026 elapsed time 03:42:08 Wed Jul 29 22:39:20 2026 Wed Jul 29 22:39:20 2026 Wed Jul 29 22:39:20 2026 Msieve v. 1.54 (SVN unknown) Wed Jul 29 22:39:20 2026 random seeds: 9fa73293 9ce00e7c Wed Jul 29 22:39:20 2026 Using 8 OpenMP threads Wed Jul 29 22:39:20 2026 factoring 42940558071236059626306394444055613189090131255926410327596650645989855481207589827729783859820893647878967892796784336206722269595709457227965616133822625941133790398589824988253 (179 digits) Wed Jul 29 22:39:20 2026 no P-1/P+1/ECM available, skipping Wed Jul 29 22:39:20 2026 commencing number field sieve (179-digit input) Wed Jul 29 22:39:20 2026 R0: -56346704773036900922268457792672774 Wed Jul 29 22:39:20 2026 R1: 3562695461419853653507 Wed Jul 29 22:39:20 2026 A0: 328053536041277943747895047973599314063400 Wed Jul 29 22:39:20 2026 A1: -38510305359595236724095798636157247 Wed Jul 29 22:39:20 2026 A2: -15856547181864556674511994166 Wed Jul 29 22:39:20 2026 A3: 868456899377863161377 Wed Jul 29 22:39:20 2026 A4: 54078258951276 Wed Jul 29 22:39:20 2026 A5: 453600 Wed Jul 29 22:39:20 2026 skew 12398865.98, size 2.497e-17, alpha -7.009, combined = 1.259e-13 rroots = 5 Wed Jul 29 22:39:20 2026 Wed Jul 29 22:39:20 2026 commencing linear algebra Wed Jul 29 22:39:20 2026 using VBITS=256 Wed Jul 29 22:39:20 2026 skipping matrix build Wed Jul 29 22:39:24 2026 matrix starts at (0, 0) Wed Jul 29 22:39:25 2026 matrix is 12499066 x 12499241 (6318.6 MB) with weight 1913689128 (153.10/col) Wed Jul 29 22:39:25 2026 sparse part has weight 1506395373 (120.52/col) Wed Jul 29 22:39:25 2026 saving the first 240 matrix rows for later Wed Jul 29 22:39:28 2026 matrix includes 256 packed rows Wed Jul 29 22:39:31 2026 matrix is 12498826 x 12499241 (5702.6 MB) with weight 1380135301 (110.42/col) Wed Jul 29 22:39:31 2026 sparse part has weight 1294902890 (103.60/col) Wed Jul 29 22:39:31 2026 using GPU 0 (NVIDIA GeForce RTX 5090) Wed Jul 29 22:39:31 2026 selected card has CUDA arch 12.0 Wed Jul 29 22:39:32 2026 computed block_nnz 162946385 (L2 cache 100663296 bytes, average column weight 103.6) Wed Jul 29 22:39:32 2026 nonzeros per matrix block: 162946385 Wed Jul 29 22:41:07 2026 commencing Lanczos iteration Wed Jul 29 22:41:08 2026 memory use: 13741.5 MB Wed Jul 29 22:41:20 2026 linear algebra at 0.2%, ETA 1h14m Wed Jul 29 22:41:36 2026 checking every 170000 dimensions, checkpointing every 10370000 dimensions Wed Jul 29 23:53:29 2026 lanczos halted after 48970 iterations (dim = 12498826) Wed Jul 29 23:54:02 2026 recovered 32 nontrivial dependencies Wed Jul 29 23:54:03 2026 BLanczosTime: 4483 Wed Jul 29 23:54:03 2026 elapsed time 01:14:43 Wed Jul 29 20:20:43 2026 Wed Jul 29 20:20:43 2026 Wed Jul 29 20:20:43 2026 Msieve v. 1.54 (SVN unknown) Wed Jul 29 20:20:43 2026 random seeds: 173bd3b3 625b6fd1 Wed Jul 29 20:20:43 2026 Using 8 OpenMP threads Wed Jul 29 20:20:43 2026 factoring 42940558071236059626306394444055613189090131255926410327596650645989855481207589827729783859820893647878967892796784336206722269595709457227965616133822625941133790398589824988253 (179 digits) Wed Jul 29 20:20:44 2026 no P-1/P+1/ECM available, skipping Wed Jul 29 20:20:44 2026 commencing number field sieve (179-digit input) Wed Jul 29 20:20:44 2026 R0: -56346704773036900922268457792672774 Wed Jul 29 20:20:44 2026 R1: 3562695461419853653507 Wed Jul 29 20:20:44 2026 A0: 328053536041277943747895047973599314063400 Wed Jul 29 20:20:44 2026 A1: -38510305359595236724095798636157247 Wed Jul 29 20:20:44 2026 A2: -15856547181864556674511994166 Wed Jul 29 20:20:44 2026 A3: 868456899377863161377 Wed Jul 29 20:20:44 2026 A4: 54078258951276 Wed Jul 29 20:20:44 2026 A5: 453600 Wed Jul 29 20:20:44 2026 skew 12398865.98, size 2.497e-17, alpha -7.009, combined = 1.259e-13 rroots = 5 Wed Jul 29 20:20:44 2026 Wed Jul 29 20:20:44 2026 commencing square root phase Wed Jul 29 20:20:44 2026 reading relations for dependency 1 Wed Jul 29 20:20:46 2026 read 6249461 cycles Wed Jul 29 20:21:00 2026 cycles contain 22844326 unique relations Wed Jul 29 20:27:06 2026 read 22844326 relations Wed Jul 29 20:29:27 2026 multiplying 22844326 relations Wed Jul 29 20:33:47 2026 multiply complete, coefficients have about 1330.25 million bits Wed Jul 29 20:33:53 2026 initial square root is modulo 927301 Wed Jul 29 20:43:58 2026 sqrtTime: 1394 Wed Jul 29 20:43:58 2026 p64 factor: 3166950765330467624292138505268865763089149379667615126247899427 Wed Jul 29 20:43:58 2026 p116 factor: 13558959785961580112524113795028525045441701210630994262800523902295932366458968952383767402281276792799590040947839 Wed Jul 29 20:43:58 2026 elapsed time 00:23:15