Wed Nov 11 13:27:30 2020 Wed Nov 11 13:27:30 2020 Wed Nov 11 13:27:30 2020 Msieve v. 1.54 (SVN 1025) Wed Nov 11 13:27:30 2020 random seeds: 36996072 9c6d6702 Wed Nov 11 13:27:30 2020 factoring 328509308740126017594484954073164588679194004775324566209324456487330508227894526887181219123861087585456293626151275330347633225863386132047519704904125962056884482780170681773258575405261651 (192 digits) Wed Nov 11 13:27:31 2020 searching for 15-digit factors Wed Nov 11 13:27:31 2020 commencing number field sieve (192-digit input) Wed Nov 11 13:27:31 2020 R0: 659131019848831520263175290914469345631722250 Wed Nov 11 13:27:31 2020 R1: -25673547083502729741443 Wed Nov 11 13:27:31 2020 A0: 1 Wed Nov 11 13:27:31 2020 A1: 3 Wed Nov 11 13:27:31 2020 A2: -3 Wed Nov 11 13:27:31 2020 A3: -4 Wed Nov 11 13:27:31 2020 A4: 1 Wed Nov 11 13:27:31 2020 A5: 1 Wed Nov 11 13:27:31 2020 skew 1.00, size 2.923e-15, alpha 2.379, combined = 1.899e-12 rroots = 5 Wed Nov 11 13:27:31 2020 Wed Nov 11 13:27:31 2020 commencing relation filtering Wed Nov 11 13:27:31 2020 setting target matrix density to 120.0 Wed Nov 11 13:27:31 2020 estimated available RAM is 15984.6 MB Wed Nov 11 13:27:31 2020 commencing duplicate removal, pass 1 Wed Nov 11 13:40:33 2020 skipped 36 relations with b > 2^32 Wed Nov 11 13:40:33 2020 skipped 1 relations with composite factors Wed Nov 11 13:40:33 2020 found 6667951 hash collisions in 119771976 relations Wed Nov 11 13:40:33 2020 commencing duplicate removal, pass 2 Wed Nov 11 13:40:56 2020 found 572542 duplicates and 119199434 unique relations Wed Nov 11 13:40:56 2020 memory use: 378.4 MB Wed Nov 11 13:40:56 2020 reading ideals above 69926912 Wed Nov 11 13:40:56 2020 commencing singleton removal, initial pass Wed Nov 11 13:50:36 2020 memory use: 2756.0 MB Wed Nov 11 13:50:36 2020 reading all ideals from disk Wed Nov 11 13:50:39 2020 memory use: 2046.4 MB Wed Nov 11 13:50:42 2020 commencing in-memory singleton removal Wed Nov 11 13:50:46 2020 begin with 119199434 relations and 86288393 unique ideals Wed Nov 11 13:51:21 2020 reduce to 90191274 relations and 55080159 ideals in 11 passes Wed Nov 11 13:51:21 2020 max relations containing the same ideal: 64 Wed Nov 11 13:51:25 2020 reading ideals above 720000 Wed Nov 11 13:51:25 2020 commencing singleton removal, initial pass Wed Nov 11 14:00:19 2020 memory use: 1506.0 MB Wed Nov 11 14:00:19 2020 reading all ideals from disk Wed Nov 11 14:00:26 2020 memory use: 3341.3 MB Wed Nov 11 14:00:34 2020 keeping 62846463 ideals with weight <= 200, target excess is 461950 Wed Nov 11 14:00:41 2020 commencing in-memory singleton removal Wed Nov 11 14:00:47 2020 begin with 90191274 relations and 62846463 unique ideals Wed Nov 11 14:00:59 2020 reduce to 90191247 relations and 62846436 ideals in 2 passes Wed Nov 11 14:00:59 2020 max relations containing the same ideal: 200 Wed Nov 11 14:01:27 2020 removing 7316281 relations and 5316281 ideals in 2000000 cliques Wed Nov 11 14:01:29 2020 commencing in-memory singleton removal Wed Nov 11 14:01:35 2020 begin with 82874966 relations and 62846436 unique ideals Wed Nov 11 14:02:09 2020 reduce to 82371743 relations and 57012993 ideals in 6 passes Wed Nov 11 14:02:09 2020 max relations containing the same ideal: 197 Wed Nov 11 14:02:35 2020 removing 5965801 relations and 3965801 ideals in 2000000 cliques Wed Nov 11 14:02:37 2020 commencing in-memory singleton removal Wed Nov 11 14:02:42 2020 begin with 76405942 relations and 57012993 unique ideals Wed Nov 11 14:03:12 2020 reduce to 76069255 relations and 52701976 ideals in 6 passes Wed Nov 11 14:03:12 2020 max relations containing the same ideal: 188 Wed Nov 11 14:03:35 2020 removing 5581728 relations and 3581728 ideals in 2000000 cliques Wed Nov 11 14:03:37 2020 commencing in-memory singleton removal Wed Nov 11 14:03:41 2020 begin with 70487527 relations and 52701976 unique ideals Wed Nov 11 14:04:12 2020 reduce to 70196126 relations and 48821637 ideals in 7 passes Wed Nov 11 14:04:12 2020 max relations containing the same ideal: 180 Wed Nov 11 14:04:34 2020 removing 5378502 relations and 3378502 ideals in 2000000 cliques Wed Nov 11 14:04:35 2020 commencing in-memory singleton removal Wed Nov 11 14:04:39 2020 begin with 64817624 relations and 48821637 unique ideals Wed Nov 11 14:05:08 2020 reduce to 64544479 relations and 45163000 ideals in 7 passes Wed Nov 11 14:05:08 2020 max relations containing the same ideal: 171 Wed Nov 11 14:05:28 2020 removing 5244881 relations and 3244881 ideals in 2000000 cliques Wed Nov 11 14:05:29 2020 commencing in-memory singleton removal Wed Nov 11 14:05:33 2020 begin with 59299598 relations and 45163000 unique ideals Wed Nov 11 14:05:55 2020 reduce to 59034906 relations and 41646049 ideals in 6 passes Wed Nov 11 14:05:55 2020 max relations containing the same ideal: 161 Wed Nov 11 14:06:13 2020 removing 5153600 relations and 3153600 ideals in 2000000 cliques Wed Nov 11 14:06:15 2020 commencing in-memory singleton removal Wed Nov 11 14:06:18 2020 begin with 53881306 relations and 41646049 unique ideals Wed Nov 11 14:06:41 2020 reduce to 53615240 relations and 38218424 ideals in 7 passes Wed Nov 11 14:06:41 2020 max relations containing the same ideal: 151 Wed Nov 11 14:06:57 2020 removing 5088028 relations and 3088028 ideals in 2000000 cliques Wed Nov 11 14:06:59 2020 commencing in-memory singleton removal Wed Nov 11 14:07:02 2020 begin with 48527212 relations and 38218424 unique ideals Wed Nov 11 14:07:23 2020 reduce to 48252776 relations and 34847237 ideals in 7 passes Wed Nov 11 14:07:23 2020 max relations containing the same ideal: 143 Wed Nov 11 14:07:38 2020 removing 5042166 relations and 3042166 ideals in 2000000 cliques Wed Nov 11 14:07:40 2020 commencing in-memory singleton removal Wed Nov 11 14:07:43 2020 begin with 43210610 relations and 34847237 unique ideals Wed Nov 11 14:07:59 2020 reduce to 42921021 relations and 31505482 ideals in 6 passes Wed Nov 11 14:07:59 2020 max relations containing the same ideal: 131 Wed Nov 11 14:08:12 2020 removing 5010359 relations and 3010359 ideals in 2000000 cliques Wed Nov 11 14:08:14 2020 commencing in-memory singleton removal Wed Nov 11 14:08:16 2020 begin with 37910662 relations and 31505482 unique ideals Wed Nov 11 14:08:30 2020 reduce to 37598205 relations and 28170624 ideals in 6 passes Wed Nov 11 14:08:30 2020 max relations containing the same ideal: 124 Wed Nov 11 14:08:42 2020 removing 4989589 relations and 2989589 ideals in 2000000 cliques Wed Nov 11 14:08:43 2020 commencing in-memory singleton removal Wed Nov 11 14:08:45 2020 begin with 32608616 relations and 28170624 unique ideals Wed Nov 11 14:08:56 2020 reduce to 32262497 relations and 24819846 ideals in 7 passes Wed Nov 11 14:08:56 2020 max relations containing the same ideal: 109 Wed Nov 11 14:09:05 2020 removing 4981456 relations and 2981456 ideals in 2000000 cliques Wed Nov 11 14:09:06 2020 commencing in-memory singleton removal Wed Nov 11 14:09:08 2020 begin with 27281041 relations and 24819846 unique ideals Wed Nov 11 14:09:16 2020 reduce to 26885088 relations and 21422615 ideals in 6 passes Wed Nov 11 14:09:16 2020 max relations containing the same ideal: 96 Wed Nov 11 14:09:23 2020 removing 4979016 relations and 2979016 ideals in 2000000 cliques Wed Nov 11 14:09:24 2020 commencing in-memory singleton removal Wed Nov 11 14:09:25 2020 begin with 21906072 relations and 21422615 unique ideals Wed Nov 11 14:09:33 2020 reduce to 21440713 relations and 17950883 ideals in 7 passes Wed Nov 11 14:09:33 2020 max relations containing the same ideal: 84 Wed Nov 11 14:09:39 2020 removing 4978262 relations and 2978262 ideals in 2000000 cliques Wed Nov 11 14:09:40 2020 commencing in-memory singleton removal Wed Nov 11 14:09:41 2020 begin with 16462451 relations and 17950883 unique ideals Wed Nov 11 14:09:48 2020 reduce to 15880716 relations and 14347836 ideals in 9 passes Wed Nov 11 14:09:48 2020 max relations containing the same ideal: 67 Wed Nov 11 14:09:52 2020 removing 2734323 relations and 1737306 ideals in 997017 cliques Wed Nov 11 14:09:53 2020 commencing in-memory singleton removal Wed Nov 11 14:09:53 2020 begin with 13146393 relations and 14347836 unique ideals Wed Nov 11 14:09:58 2020 reduce to 12782869 relations and 12225627 ideals in 8 passes Wed Nov 11 14:09:58 2020 max relations containing the same ideal: 58 Wed Nov 11 14:10:02 2020 removing 114580 relations and 93201 ideals in 21379 cliques Wed Nov 11 14:10:03 2020 commencing in-memory singleton removal Wed Nov 11 14:10:03 2020 begin with 12668289 relations and 12225627 unique ideals Wed Nov 11 14:10:06 2020 reduce to 12667288 relations and 12131422 ideals in 5 passes Wed Nov 11 14:10:06 2020 max relations containing the same ideal: 57 Wed Nov 11 14:10:08 2020 relations with 0 large ideals: 36640 Wed Nov 11 14:10:08 2020 relations with 1 large ideals: 9278 Wed Nov 11 14:10:08 2020 relations with 2 large ideals: 110031 Wed Nov 11 14:10:08 2020 relations with 3 large ideals: 617833 Wed Nov 11 14:10:08 2020 relations with 4 large ideals: 1807223 Wed Nov 11 14:10:08 2020 relations with 5 large ideals: 3094274 Wed Nov 11 14:10:08 2020 relations with 6 large ideals: 3685954 Wed Nov 11 14:10:08 2020 relations with 7+ large ideals: 3306055 Wed Nov 11 14:10:08 2020 commencing 2-way merge Wed Nov 11 14:10:12 2020 reduce to 8940601 relation sets and 8404735 unique ideals Wed Nov 11 14:10:12 2020 commencing full merge Wed Nov 11 14:12:39 2020 memory use: 1101.2 MB Wed Nov 11 14:12:39 2020 found 3976525 cycles, need 3966935 Wed Nov 11 14:12:40 2020 weight of 3966935 cycles is about 476598281 (120.14/cycle) Wed Nov 11 14:12:40 2020 distribution of cycle lengths: Wed Nov 11 14:12:40 2020 1 relations: 104478 Wed Nov 11 14:12:40 2020 2 relations: 177072 Wed Nov 11 14:12:40 2020 3 relations: 239230 Wed Nov 11 14:12:40 2020 4 relations: 268847 Wed Nov 11 14:12:40 2020 5 relations: 292286 Wed Nov 11 14:12:40 2020 6 relations: 299044 Wed Nov 11 14:12:40 2020 7 relations: 296523 Wed Nov 11 14:12:40 2020 8 relations: 287881 Wed Nov 11 14:12:40 2020 9 relations: 267998 Wed Nov 11 14:12:40 2020 10+ relations: 1733576 Wed Nov 11 14:12:40 2020 heaviest cycle: 28 relations Wed Nov 11 14:12:41 2020 commencing cycle optimization Wed Nov 11 14:12:47 2020 start with 37922448 relations Wed Nov 11 14:13:55 2020 pruned 2228696 relations Wed Nov 11 14:13:55 2020 memory use: 916.3 MB Wed Nov 11 14:13:55 2020 distribution of cycle lengths: Wed Nov 11 14:13:55 2020 1 relations: 104478 Wed Nov 11 14:13:55 2020 2 relations: 181847 Wed Nov 11 14:13:55 2020 3 relations: 250478 Wed Nov 11 14:13:55 2020 4 relations: 282796 Wed Nov 11 14:13:55 2020 5 relations: 311480 Wed Nov 11 14:13:55 2020 6 relations: 318772 Wed Nov 11 14:13:55 2020 7 relations: 318464 Wed Nov 11 14:13:55 2020 8 relations: 307169 Wed Nov 11 14:13:55 2020 9 relations: 286109 Wed Nov 11 14:13:55 2020 10+ relations: 1605342 Wed Nov 11 14:13:55 2020 heaviest cycle: 28 relations Wed Nov 11 14:14:01 2020 RelProcTime: 2790 Wed Nov 11 14:14:01 2020 Wed Nov 11 14:14:01 2020 commencing linear algebra Wed Nov 11 14:14:01 2020 read 3966935 cycles Wed Nov 11 14:14:07 2020 cycles contain 12429066 unique relations Wed Nov 11 14:15:08 2020 read 12429066 relations Wed Nov 11 14:15:25 2020 using 20 quadratic characters above 4294917295 Wed Nov 11 14:16:06 2020 building initial matrix Wed Nov 11 14:17:56 2020 memory use: 1553.2 MB Wed Nov 11 14:17:57 2020 read 3966935 cycles Wed Nov 11 14:17:58 2020 matrix is 3966758 x 3966935 (1841.9 MB) with weight 526080681 (132.62/col) Wed Nov 11 14:17:58 2020 sparse part has weight 439218415 (110.72/col) Wed Nov 11 14:18:41 2020 filtering completed in 2 passes Wed Nov 11 14:18:42 2020 matrix is 3966712 x 3966889 (1841.9 MB) with weight 526078841 (132.62/col) Wed Nov 11 14:18:42 2020 sparse part has weight 439217651 (110.72/col) Wed Nov 11 14:18:49 2020 matrix starts at (0, 0) Wed Nov 11 14:18:49 2020 matrix is 3966712 x 3966889 (1841.9 MB) with weight 526078841 (132.62/col) Wed Nov 11 14:18:49 2020 sparse part has weight 439217651 (110.72/col) Wed Nov 11 14:18:49 2020 saving the first 48 matrix rows for later Wed Nov 11 14:18:50 2020 matrix includes 64 packed rows Wed Nov 11 14:18:50 2020 matrix is 3966664 x 3966889 (1763.3 MB) with weight 452942542 (114.18/col) Wed Nov 11 14:18:50 2020 sparse part has weight 422559926 (106.52/col) Wed Nov 11 14:18:50 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Wed Nov 11 14:19:02 2020 commencing Lanczos iteration (4 threads) Wed Nov 11 14:19:02 2020 memory use: 1668.2 MB Wed Nov 11 14:19:16 2020 linear algebra at 0.0%, ETA 9h24m Wed Nov 11 14:19:20 2020 checkpointing every 440000 dimensions Wed Nov 11 22:32:12 2020 Wed Nov 11 22:32:12 2020 Wed Nov 11 22:32:12 2020 Msieve v. 1.54 (SVN 1025) Wed Nov 11 22:32:12 2020 random seeds: e4fba5ab 7b0083e3 Wed Nov 11 22:32:12 2020 factoring 328509308740126017594484954073164588679194004775324566209324456487330508227894526887181219123861087585456293626151275330347633225863386132047519704904125962056884482780170681773258575405261651 (192 digits) Wed Nov 11 22:32:13 2020 searching for 15-digit factors Wed Nov 11 22:32:13 2020 commencing number field sieve (192-digit input) Wed Nov 11 22:32:13 2020 R0: 659131019848831520263175290914469345631722250 Wed Nov 11 22:32:13 2020 R1: -25673547083502729741443 Wed Nov 11 22:32:13 2020 A0: 1 Wed Nov 11 22:32:13 2020 A1: 3 Wed Nov 11 22:32:13 2020 A2: -3 Wed Nov 11 22:32:13 2020 A3: -4 Wed Nov 11 22:32:13 2020 A4: 1 Wed Nov 11 22:32:13 2020 A5: 1 Wed Nov 11 22:32:13 2020 skew 1.00, size 2.923e-15, alpha 2.379, combined = 1.899e-12 rroots = 5 Wed Nov 11 22:32:13 2020 Wed Nov 11 22:32:13 2020 commencing linear algebra Wed Nov 11 22:32:13 2020 skipping matrix build Wed Nov 11 22:32:17 2020 matrix starts at (0, 0) Wed Nov 11 22:32:18 2020 matrix is 3966712 x 3966889 (1841.9 MB) with weight 526078841 (132.62/col) Wed Nov 11 22:32:18 2020 sparse part has weight 439217651 (110.72/col) Wed Nov 11 22:32:18 2020 saving the first 48 matrix rows for later Wed Nov 11 22:32:18 2020 matrix includes 64 packed rows Wed Nov 11 22:32:19 2020 matrix is 3966664 x 3966889 (1763.3 MB) with weight 452942542 (114.18/col) Wed Nov 11 22:32:19 2020 sparse part has weight 422559926 (106.52/col) Wed Nov 11 22:32:19 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Wed Nov 11 22:32:31 2020 commencing Lanczos iteration (3 threads) Wed Nov 11 22:32:31 2020 memory use: 1668.2 MB Wed Nov 11 22:32:56 2020 Wed Nov 11 22:32:56 2020 Wed Nov 11 22:32:56 2020 Msieve v. 1.54 (SVN 1025) Wed Nov 11 22:32:56 2020 random seeds: 0b87eb6e d96aeb00 Wed Nov 11 22:32:56 2020 factoring 328509308740126017594484954073164588679194004775324566209324456487330508227894526887181219123861087585456293626151275330347633225863386132047519704904125962056884482780170681773258575405261651 (192 digits) Wed Nov 11 22:32:57 2020 searching for 15-digit factors Wed Nov 11 22:32:57 2020 commencing number field sieve (192-digit input) Wed Nov 11 22:32:57 2020 R0: 659131019848831520263175290914469345631722250 Wed Nov 11 22:32:57 2020 R1: -25673547083502729741443 Wed Nov 11 22:32:57 2020 A0: 1 Wed Nov 11 22:32:57 2020 A1: 3 Wed Nov 11 22:32:57 2020 A2: -3 Wed Nov 11 22:32:57 2020 A3: -4 Wed Nov 11 22:32:57 2020 A4: 1 Wed Nov 11 22:32:57 2020 A5: 1 Wed Nov 11 22:32:57 2020 skew 1.00, size 2.923e-15, alpha 2.379, combined = 1.899e-12 rroots = 5 Wed Nov 11 22:32:57 2020 Wed Nov 11 22:32:57 2020 commencing linear algebra Wed Nov 11 22:32:58 2020 read 3966889 cycles Wed Nov 11 22:33:03 2020 cycles contain 12429066 unique relations Wed Nov 11 22:34:04 2020 read 12429066 relations Wed Nov 11 22:34:16 2020 using 20 quadratic characters above 4294917295 Wed Nov 11 22:34:58 2020 building initial matrix Wed Nov 11 22:36:46 2020 memory use: 1553.2 MB Wed Nov 11 22:36:48 2020 read 3966889 cycles Wed Nov 11 22:36:48 2020 matrix is 3966712 x 3966889 (1841.9 MB) with weight 526078841 (132.62/col) Wed Nov 11 22:36:48 2020 sparse part has weight 439217651 (110.72/col) Wed Nov 11 22:37:09 2020 filtering completed in 1 passes Wed Nov 11 22:37:09 2020 matrix is 3966712 x 3966889 (1841.9 MB) with weight 526078841 (132.62/col) Wed Nov 11 22:37:09 2020 sparse part has weight 439217651 (110.72/col) Wed Nov 11 22:37:14 2020 matrix starts at (0, 0) Wed Nov 11 22:37:15 2020 matrix is 3966712 x 3966889 (1841.9 MB) with weight 526078841 (132.62/col) Wed Nov 11 22:37:15 2020 sparse part has weight 439217651 (110.72/col) Wed Nov 11 22:37:15 2020 saving the first 48 matrix rows for later Wed Nov 11 22:37:15 2020 matrix includes 64 packed rows Wed Nov 11 22:37:16 2020 matrix is 3966664 x 3966889 (1763.3 MB) with weight 452942542 (114.18/col) Wed Nov 11 22:37:16 2020 sparse part has weight 422559926 (106.52/col) Wed Nov 11 22:37:16 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB Wed Nov 11 22:37:28 2020 commencing Lanczos iteration (3 threads) Wed Nov 11 22:37:28 2020 memory use: 1668.2 MB Wed Nov 11 22:37:43 2020 linear algebra at 0.0%, ETA 10h51m Wed Nov 11 22:37:48 2020 checkpointing every 370000 dimensions Thu Nov 12 08:12:26 2020 lanczos halted after 62726 iterations (dim = 3966664) Thu Nov 12 08:12:30 2020 recovered 36 nontrivial dependencies Thu Nov 12 08:12:30 2020 BLanczosTime: 34773 Thu Nov 12 08:12:30 2020 Thu Nov 12 08:12:30 2020 commencing square root phase Thu Nov 12 08:12:30 2020 reading relations for dependency 1 Thu Nov 12 08:12:31 2020 read 1983118 cycles Thu Nov 12 08:12:33 2020 cycles contain 6213682 unique relations Thu Nov 12 08:13:10 2020 read 6213682 relations Thu Nov 12 08:13:28 2020 multiplying 6213682 relations Thu Nov 12 08:15:31 2020 multiply complete, coefficients have about 152.74 million bits Thu Nov 12 08:15:32 2020 initial square root is modulo 302989 Thu Nov 12 08:18:00 2020 sqrtTime: 330 Thu Nov 12 08:18:00 2020 p58 factor: 1604029741261529112586725265072151979732509382060859660573 Thu Nov 12 08:18:00 2020 p135 factor: 204802504772612068584933522099520934761308743936422916123564868504719973131068638184692150465071586271951167439031083010344231191376687 Thu Nov 12 08:18:00 2020 elapsed time 09:45:04