Fri Dec 18 09:35:31 2020 Fri Dec 18 09:35:31 2020 Fri Dec 18 09:35:31 2020 Msieve v. 1.53 (SVN 988M) Fri Dec 18 09:35:31 2020 random seeds: 95045944 1da46f3e Fri Dec 18 09:35:31 2020 factoring 3557476825584074523626141119131284720818433345255571798807840633164029997092314889363413908015914169945511419088824886271478160013365034892325967713723313895106737029561832633027700589079840210378212505320353489361330304701 (223 digits) Fri Dec 18 09:35:31 2020 searching for 15-digit factors Fri Dec 18 09:35:33 2020 commencing number field sieve (223-digit input) Fri Dec 18 09:35:33 2020 R0: 25585011002090143406286444340093545229467499 Fri Dec 18 09:35:33 2020 R1: -1 Fri Dec 18 09:35:33 2020 A0: -480393499 Fri Dec 18 09:35:33 2020 A1: 0 Fri Dec 18 09:35:33 2020 A2: 0 Fri Dec 18 09:35:33 2020 A3: 0 Fri Dec 18 09:35:33 2020 A4: 0 Fri Dec 18 09:35:33 2020 A5: 0 Fri Dec 18 09:35:33 2020 A6: 1 Fri Dec 18 09:35:33 2020 skew 27.98, size 2.557e-13, alpha -1.618, combined = 4.459e-14 rroots = 2 Fri Dec 18 09:35:33 2020 Fri Dec 18 09:35:33 2020 commencing relation filtering Fri Dec 18 09:35:33 2020 setting target matrix density to 130.0 Fri Dec 18 09:35:33 2020 estimated available RAM is 32768.0 MB Fri Dec 18 09:35:33 2020 commencing duplicate removal, pass 1 Fri Dec 18 09:49:50 2020 error -15 reading relation 124007400 Fri Dec 18 09:54:29 2020 error -15 reading relation 164303582 Fri Dec 18 09:55:47 2020 error -15 reading relation 175476168 Fri Dec 18 10:00:44 2020 error -15 reading relation 218198095 Fri Dec 18 10:00:45 2020 error -15 reading relation 218360122 Fri Dec 18 10:00:47 2020 error -15 reading relation 218568960 Fri Dec 18 10:00:47 2020 error -15 reading relation 218569586 Fri Dec 18 10:00:53 2020 error -1 reading relation 219470144 Fri Dec 18 10:00:53 2020 error -1 reading relation 219484803 Fri Dec 18 10:00:54 2020 error -5 reading relation 219526828 Fri Dec 18 10:00:54 2020 error -15 reading relation 219605833 Fri Dec 18 10:00:55 2020 error -11 reading relation 219658050 Fri Dec 18 10:00:55 2020 error -1 reading relation 219669280 Fri Dec 18 10:00:55 2020 error -5 reading relation 219719360 Fri Dec 18 10:01:09 2020 error -15 reading relation 221680936 Fri Dec 18 10:01:09 2020 error -15 reading relation 221715223 Fri Dec 18 10:01:09 2020 error -1 reading relation 221753514 Fri Dec 18 10:01:09 2020 error -15 reading relation 221789664 Fri Dec 18 10:01:09 2020 error -15 reading relation 221798713 Fri Dec 18 10:01:11 2020 error -1 reading relation 221992908 Fri Dec 18 10:01:12 2020 error -6 reading relation 222093033 Fri Dec 18 10:01:12 2020 error -11 reading relation 222122068 Fri Dec 18 10:04:16 2020 error -15 reading relation 248547361 Fri Dec 18 10:05:08 2020 skipped 13 relations with b > 2^32 Fri Dec 18 10:05:08 2020 skipped 16 relations with composite factors Fri Dec 18 10:05:08 2020 found 14099160 hash collisions in 255850933 relations Fri Dec 18 10:05:20 2020 added 1220264 free relations Fri Dec 18 10:05:20 2020 commencing duplicate removal, pass 2 Fri Dec 18 10:16:16 2020 found 0 duplicates and 257071197 unique relations Fri Dec 18 10:16:16 2020 memory use: 788.8 MB Fri Dec 18 10:16:16 2020 reading ideals above 199819264 Fri Dec 18 10:16:16 2020 commencing singleton removal, initial pass Fri Dec 18 10:38:51 2020 memory use: 6024.0 MB Fri Dec 18 10:38:51 2020 reading all ideals from disk Fri Dec 18 10:40:42 2020 memory use: 4776.8 MB Fri Dec 18 10:40:53 2020 commencing in-memory singleton removal Fri Dec 18 10:41:03 2020 begin with 257071197 relations and 233502610 unique ideals Fri Dec 18 10:43:31 2020 reduce to 153268424 relations and 118339563 ideals in 18 passes Fri Dec 18 10:43:31 2020 max relations containing the same ideal: 37 Fri Dec 18 10:43:50 2020 reading ideals above 720000 Fri Dec 18 10:43:51 2020 commencing singleton removal, initial pass Fri Dec 18 11:01:58 2020 memory use: 3012.0 MB Fri Dec 18 11:01:58 2020 reading all ideals from disk Fri Dec 18 11:04:28 2020 memory use: 6401.8 MB Fri Dec 18 11:04:43 2020 keeping 139691376 ideals with weight <= 200, target excess is 788550 Fri Dec 18 11:04:59 2020 commencing in-memory singleton removal Fri Dec 18 11:05:11 2020 begin with 153268424 relations and 139691376 unique ideals Fri Dec 18 11:07:05 2020 reduce to 153263393 relations and 139686345 ideals in 9 passes Fri Dec 18 11:07:05 2020 max relations containing the same ideal: 200 Fri Dec 18 11:08:13 2020 removing 14499601 relations and 12499601 ideals in 2000000 cliques Fri Dec 18 11:08:17 2020 commencing in-memory singleton removal Fri Dec 18 11:08:28 2020 begin with 138763792 relations and 139686345 unique ideals Fri Dec 18 11:10:21 2020 reduce to 137520221 relations and 125920493 ideals in 10 passes Fri Dec 18 11:10:21 2020 max relations containing the same ideal: 195 Fri Dec 18 11:11:23 2020 removing 11090724 relations and 9090724 ideals in 2000000 cliques Fri Dec 18 11:11:27 2020 commencing in-memory singleton removal Fri Dec 18 11:11:37 2020 begin with 126429497 relations and 125920493 unique ideals Fri Dec 18 11:13:11 2020 reduce to 125603808 relations and 115991165 ideals in 9 passes Fri Dec 18 11:13:11 2020 max relations containing the same ideal: 186 Fri Dec 18 11:14:07 2020 removing 10076205 relations and 8076205 ideals in 2000000 cliques Fri Dec 18 11:14:11 2020 commencing in-memory singleton removal Fri Dec 18 11:14:19 2020 begin with 115527603 relations and 115991165 unique ideals Fri Dec 18 11:15:42 2020 reduce to 114783296 relations and 107158661 ideals in 9 passes Fri Dec 18 11:15:42 2020 max relations containing the same ideal: 178 Fri Dec 18 11:16:34 2020 removing 9594393 relations and 7594393 ideals in 2000000 cliques Fri Dec 18 11:16:37 2020 commencing in-memory singleton removal Fri Dec 18 11:16:45 2020 begin with 105188903 relations and 107158661 unique ideals Fri Dec 18 11:18:02 2020 reduce to 104450663 relations and 98813788 ideals in 9 passes Fri Dec 18 11:18:02 2020 max relations containing the same ideal: 170 Fri Dec 18 11:18:51 2020 removing 9337891 relations and 7337891 ideals in 2000000 cliques Fri Dec 18 11:18:54 2020 commencing in-memory singleton removal Fri Dec 18 11:19:01 2020 begin with 95112772 relations and 98813788 unique ideals Fri Dec 18 11:20:17 2020 reduce to 94344782 relations and 90694285 ideals in 10 passes Fri Dec 18 11:20:17 2020 max relations containing the same ideal: 159 Fri Dec 18 11:21:00 2020 removing 9213330 relations and 7213330 ideals in 2000000 cliques Fri Dec 18 11:21:04 2020 commencing in-memory singleton removal Fri Dec 18 11:21:10 2020 begin with 85131452 relations and 90694285 unique ideals Fri Dec 18 11:22:10 2020 reduce to 84303972 relations and 82637292 ideals in 9 passes Fri Dec 18 11:22:10 2020 max relations containing the same ideal: 153 Fri Dec 18 11:22:50 2020 removing 4257500 relations and 3505538 ideals in 751962 cliques Fri Dec 18 11:22:52 2020 commencing in-memory singleton removal Fri Dec 18 11:22:58 2020 begin with 80046472 relations and 82637292 unique ideals Fri Dec 18 11:23:48 2020 reduce to 79867233 relations and 78950956 ideals in 8 passes Fri Dec 18 11:23:48 2020 max relations containing the same ideal: 147 Fri Dec 18 11:24:34 2020 relations with 0 large ideals: 29576 Fri Dec 18 11:24:34 2020 relations with 1 large ideals: 5121 Fri Dec 18 11:24:34 2020 relations with 2 large ideals: 79779 Fri Dec 18 11:24:34 2020 relations with 3 large ideals: 681060 Fri Dec 18 11:24:34 2020 relations with 4 large ideals: 3256200 Fri Dec 18 11:24:34 2020 relations with 5 large ideals: 9517632 Fri Dec 18 11:24:34 2020 relations with 6 large ideals: 17696821 Fri Dec 18 11:24:34 2020 relations with 7+ large ideals: 48601044 Fri Dec 18 11:24:34 2020 commencing 2-way merge Fri Dec 18 11:25:27 2020 reduce to 50627025 relation sets and 49710748 unique ideals Fri Dec 18 11:25:27 2020 commencing full merge Fri Dec 18 12:07:18 2020 memory use: 2298.2 MB Fri Dec 18 12:07:19 2020 found 279324 cycles, need 10572750 Fri Dec 18 12:07:19 2020 too few cycles, matrix probably cannot build Fri Dec 18 12:12:23 2020 Fri Dec 18 12:12:23 2020 Fri Dec 18 12:12:23 2020 Msieve v. 1.53 (SVN 988M) Fri Dec 18 12:12:23 2020 random seeds: b5fea04f 9d8b1b95 Fri Dec 18 12:12:23 2020 factoring 3557476825584074523626141119131284720818433345255571798807840633164029997092314889363413908015914169945511419088824886271478160013365034892325967713723313895106737029561832633027700589079840210378212505320353489361330304701 (223 digits) Fri Dec 18 12:12:24 2020 searching for 15-digit factors Fri Dec 18 12:12:25 2020 commencing number field sieve (223-digit input) Fri Dec 18 12:12:25 2020 R0: 25585011002090143406286444340093545229467499 Fri Dec 18 12:12:25 2020 R1: -1 Fri Dec 18 12:12:25 2020 A0: -480393499 Fri Dec 18 12:12:25 2020 A1: 0 Fri Dec 18 12:12:25 2020 A2: 0 Fri Dec 18 12:12:25 2020 A3: 0 Fri Dec 18 12:12:25 2020 A4: 0 Fri Dec 18 12:12:25 2020 A5: 0 Fri Dec 18 12:12:25 2020 A6: 1 Fri Dec 18 12:12:25 2020 skew 27.98, size 2.557e-13, alpha -1.618, combined = 4.459e-14 rroots = 2 Fri Dec 18 12:12:25 2020 Fri Dec 18 12:12:25 2020 commencing relation filtering Fri Dec 18 12:12:25 2020 setting target matrix density to 120.0 Fri Dec 18 12:12:25 2020 estimated available RAM is 32768.0 MB Fri Dec 18 12:12:25 2020 commencing duplicate removal, pass 1 Fri Dec 18 12:26:02 2020 error -15 reading relation 124007400 Fri Dec 18 12:30:29 2020 error -15 reading relation 164303582 Fri Dec 18 12:31:43 2020 error -15 reading relation 175476168 Fri Dec 18 12:36:28 2020 error -15 reading relation 218198095 Fri Dec 18 12:36:29 2020 error -15 reading relation 218360122 Fri Dec 18 12:36:30 2020 error -15 reading relation 218568960 Fri Dec 18 12:36:30 2020 error -15 reading relation 218569586 Fri Dec 18 12:36:36 2020 error -1 reading relation 219470144 Fri Dec 18 12:36:36 2020 error -1 reading relation 219484803 Fri Dec 18 12:36:37 2020 error -5 reading relation 219526828 Fri Dec 18 12:36:37 2020 error -15 reading relation 219605833 Fri Dec 18 12:36:37 2020 error -11 reading relation 219658050 Fri Dec 18 12:36:38 2020 error -1 reading relation 219669280 Fri Dec 18 12:36:38 2020 error -5 reading relation 219719360 Fri Dec 18 12:36:51 2020 error -15 reading relation 221680936 Fri Dec 18 12:36:51 2020 error -15 reading relation 221715223 Fri Dec 18 12:36:51 2020 error -1 reading relation 221753514 Fri Dec 18 12:36:52 2020 error -15 reading relation 221789664 Fri Dec 18 12:36:52 2020 error -15 reading relation 221798713 Fri Dec 18 12:36:53 2020 error -1 reading relation 221992908 Fri Dec 18 12:36:54 2020 error -6 reading relation 222093033 Fri Dec 18 12:36:54 2020 error -11 reading relation 222122068 Fri Dec 18 12:39:50 2020 error -15 reading relation 248547361 Fri Dec 18 12:40:53 2020 skipped 13 relations with b > 2^32 Fri Dec 18 12:40:53 2020 skipped 16 relations with composite factors Fri Dec 18 12:40:53 2020 found 14228810 hash collisions in 257071197 relations Fri Dec 18 12:41:01 2020 commencing duplicate removal, pass 2 Fri Dec 18 12:52:03 2020 found 0 duplicates and 257071197 unique relations Fri Dec 18 12:52:03 2020 memory use: 788.8 MB Fri Dec 18 12:52:03 2020 reading ideals above 199819264 Fri Dec 18 12:52:03 2020 commencing singleton removal, initial pass Fri Dec 18 13:13:36 2020 memory use: 6024.0 MB Fri Dec 18 13:13:36 2020 reading all ideals from disk Fri Dec 18 13:15:28 2020 memory use: 4776.8 MB Fri Dec 18 13:15:38 2020 commencing in-memory singleton removal Fri Dec 18 13:15:48 2020 begin with 257071197 relations and 233502610 unique ideals Fri Dec 18 13:18:06 2020 reduce to 153268424 relations and 118339563 ideals in 18 passes Fri Dec 18 13:18:06 2020 max relations containing the same ideal: 37 Fri Dec 18 13:18:24 2020 reading ideals above 720000 Fri Dec 18 13:18:25 2020 commencing singleton removal, initial pass Fri Dec 18 13:35:50 2020 memory use: 3012.0 MB Fri Dec 18 13:35:51 2020 reading all ideals from disk Fri Dec 18 13:38:20 2020 memory use: 6401.8 MB Fri Dec 18 13:38:35 2020 keeping 139691376 ideals with weight <= 200, target excess is 788550 Fri Dec 18 13:38:51 2020 commencing in-memory singleton removal Fri Dec 18 13:39:03 2020 begin with 153268424 relations and 139691376 unique ideals Fri Dec 18 13:40:57 2020 reduce to 153263393 relations and 139686345 ideals in 9 passes Fri Dec 18 13:40:57 2020 max relations containing the same ideal: 200 Fri Dec 18 13:42:04 2020 removing 14499601 relations and 12499601 ideals in 2000000 cliques Fri Dec 18 13:42:09 2020 commencing in-memory singleton removal Fri Dec 18 13:42:20 2020 begin with 138763792 relations and 139686345 unique ideals Fri Dec 18 13:44:12 2020 reduce to 137520221 relations and 125920493 ideals in 10 passes Fri Dec 18 13:44:12 2020 max relations containing the same ideal: 195 Fri Dec 18 13:45:15 2020 removing 11090724 relations and 9090724 ideals in 2000000 cliques Fri Dec 18 13:45:19 2020 commencing in-memory singleton removal Fri Dec 18 13:45:28 2020 begin with 126429497 relations and 125920493 unique ideals Fri Dec 18 13:47:02 2020 reduce to 125603808 relations and 115991165 ideals in 9 passes Fri Dec 18 13:47:02 2020 max relations containing the same ideal: 186 Fri Dec 18 13:48:00 2020 removing 10076205 relations and 8076205 ideals in 2000000 cliques Fri Dec 18 13:48:03 2020 commencing in-memory singleton removal Fri Dec 18 13:48:12 2020 begin with 115527603 relations and 115991165 unique ideals Fri Dec 18 13:49:36 2020 reduce to 114783296 relations and 107158661 ideals in 9 passes Fri Dec 18 13:49:36 2020 max relations containing the same ideal: 178 Fri Dec 18 13:50:28 2020 removing 9594393 relations and 7594393 ideals in 2000000 cliques Fri Dec 18 13:50:32 2020 commencing in-memory singleton removal Fri Dec 18 13:50:40 2020 begin with 105188903 relations and 107158661 unique ideals Fri Dec 18 13:51:56 2020 reduce to 104450663 relations and 98813788 ideals in 9 passes Fri Dec 18 13:51:56 2020 max relations containing the same ideal: 170 Fri Dec 18 13:52:43 2020 removing 9337891 relations and 7337891 ideals in 2000000 cliques Fri Dec 18 13:52:46 2020 commencing in-memory singleton removal Fri Dec 18 13:52:53 2020 begin with 95112772 relations and 98813788 unique ideals Fri Dec 18 13:54:08 2020 reduce to 94344782 relations and 90694285 ideals in 10 passes Fri Dec 18 13:54:08 2020 max relations containing the same ideal: 159 Fri Dec 18 13:54:53 2020 removing 9213330 relations and 7213330 ideals in 2000000 cliques Fri Dec 18 13:54:57 2020 commencing in-memory singleton removal Fri Dec 18 13:55:03 2020 begin with 85131452 relations and 90694285 unique ideals Fri Dec 18 13:56:04 2020 reduce to 84303972 relations and 82637292 ideals in 9 passes Fri Dec 18 13:56:04 2020 max relations containing the same ideal: 153 Fri Dec 18 13:56:44 2020 removing 4257500 relations and 3505538 ideals in 751962 cliques Fri Dec 18 13:56:46 2020 commencing in-memory singleton removal Fri Dec 18 13:56:52 2020 begin with 80046472 relations and 82637292 unique ideals Fri Dec 18 13:57:43 2020 reduce to 79867233 relations and 78950956 ideals in 8 passes Fri Dec 18 13:57:43 2020 max relations containing the same ideal: 147 Fri Dec 18 13:58:29 2020 relations with 0 large ideals: 29576 Fri Dec 18 13:58:29 2020 relations with 1 large ideals: 5121 Fri Dec 18 13:58:29 2020 relations with 2 large ideals: 79779 Fri Dec 18 13:58:29 2020 relations with 3 large ideals: 681060 Fri Dec 18 13:58:29 2020 relations with 4 large ideals: 3256200 Fri Dec 18 13:58:29 2020 relations with 5 large ideals: 9517632 Fri Dec 18 13:58:29 2020 relations with 6 large ideals: 17696821 Fri Dec 18 13:58:29 2020 relations with 7+ large ideals: 48601044 Fri Dec 18 13:58:29 2020 commencing 2-way merge Fri Dec 18 13:59:21 2020 reduce to 50627025 relation sets and 49710748 unique ideals Fri Dec 18 13:59:21 2020 commencing full merge Fri Dec 18 14:41:27 2020 memory use: 2298.2 MB Fri Dec 18 14:41:27 2020 found 279324 cycles, need 10572750 Fri Dec 18 14:41:27 2020 too few cycles, matrix probably cannot build Fri Dec 18 15:32:32 2020 Fri Dec 18 15:32:32 2020 Fri Dec 18 15:32:32 2020 Msieve v. 1.53 (SVN 988M) Fri Dec 18 15:32:32 2020 random seeds: d3e02cdb 36bc0976 Fri Dec 18 15:32:32 2020 factoring 3557476825584074523626141119131284720818433345255571798807840633164029997092314889363413908015914169945511419088824886271478160013365034892325967713723313895106737029561832633027700589079840210378212505320353489361330304701 (223 digits) Fri Dec 18 15:32:33 2020 searching for 15-digit factors Fri Dec 18 15:32:34 2020 commencing number field sieve (223-digit input) Fri Dec 18 15:32:34 2020 R0: 25585011002090143406286444340093545229467499 Fri Dec 18 15:32:34 2020 R1: -1 Fri Dec 18 15:32:34 2020 A0: -480393499 Fri Dec 18 15:32:34 2020 A1: 0 Fri Dec 18 15:32:34 2020 A2: 0 Fri Dec 18 15:32:34 2020 A3: 0 Fri Dec 18 15:32:34 2020 A4: 0 Fri Dec 18 15:32:34 2020 A5: 0 Fri Dec 18 15:32:34 2020 A6: 1 Fri Dec 18 15:32:34 2020 skew 27.98, size 2.557e-13, alpha -1.618, combined = 4.459e-14 rroots = 2 Fri Dec 18 15:32:34 2020 Fri Dec 18 15:32:34 2020 commencing relation filtering Fri Dec 18 15:32:34 2020 setting target matrix density to 120.0 Fri Dec 18 15:32:34 2020 estimated available RAM is 32768.0 MB Fri Dec 18 15:32:34 2020 commencing duplicate removal, pass 1 Fri Dec 18 15:46:11 2020 error -15 reading relation 124007400 Fri Dec 18 15:50:39 2020 error -15 reading relation 164303582 Fri Dec 18 15:51:53 2020 error -15 reading relation 175476168 Fri Dec 18 15:56:38 2020 error -15 reading relation 218198095 Fri Dec 18 15:56:39 2020 error -15 reading relation 218360122 Fri Dec 18 15:56:40 2020 error -15 reading relation 218568960 Fri Dec 18 15:56:40 2020 error -15 reading relation 218569586 Fri Dec 18 15:56:46 2020 error -1 reading relation 219470144 Fri Dec 18 15:56:46 2020 error -1 reading relation 219484803 Fri Dec 18 15:56:47 2020 error -5 reading relation 219526828 Fri Dec 18 15:56:47 2020 error -15 reading relation 219605833 Fri Dec 18 15:56:48 2020 error -11 reading relation 219658050 Fri Dec 18 15:56:48 2020 error -1 reading relation 219669280 Fri Dec 18 15:56:48 2020 error -5 reading relation 219719360 Fri Dec 18 15:57:01 2020 error -15 reading relation 221680936 Fri Dec 18 15:57:01 2020 error -15 reading relation 221715223 Fri Dec 18 15:57:02 2020 error -1 reading relation 221753514 Fri Dec 18 15:57:02 2020 error -15 reading relation 221789664 Fri Dec 18 15:57:02 2020 error -15 reading relation 221798713 Fri Dec 18 15:57:03 2020 error -1 reading relation 221992908 Fri Dec 18 15:57:04 2020 error -6 reading relation 222093033 Fri Dec 18 15:57:04 2020 error -11 reading relation 222122068 Fri Dec 18 16:00:00 2020 error -15 reading relation 248547361 Fri Dec 18 16:00:55 2020 error -15 reading relation 256856311 Fri Dec 18 16:01:13 2020 skipped 13 relations with b > 2^32 Fri Dec 18 16:01:13 2020 skipped 17 relations with composite factors Fri Dec 18 16:01:13 2020 found 14497177 hash collisions in 259590326 relations Fri Dec 18 16:01:25 2020 added 1220264 free relations Fri Dec 18 16:01:25 2020 commencing duplicate removal, pass 2 Fri Dec 18 16:14:27 2020 found 0 duplicates and 260810590 unique relations Fri Dec 18 16:14:27 2020 memory use: 788.8 MB Fri Dec 18 16:14:28 2020 reading ideals above 199950336 Fri Dec 18 16:14:28 2020 commencing singleton removal, initial pass Fri Dec 18 16:50:51 2020 memory use: 6024.0 MB Fri Dec 18 16:50:52 2020 reading all ideals from disk Fri Dec 18 16:54:12 2020 memory use: 4847.8 MB Fri Dec 18 16:54:28 2020 commencing in-memory singleton removal Fri Dec 18 16:54:38 2020 begin with 260810590 relations and 234554982 unique ideals Fri Dec 18 16:56:55 2020 reduce to 158872507 relations and 121746456 ideals in 17 passes Fri Dec 18 16:56:55 2020 max relations containing the same ideal: 37 Fri Dec 18 16:57:14 2020 reading ideals above 720000 Fri Dec 18 16:57:15 2020 commencing singleton removal, initial pass Fri Dec 18 17:15:23 2020 memory use: 3012.0 MB Fri Dec 18 17:15:24 2020 reading all ideals from disk Fri Dec 18 17:17:59 2020 memory use: 6637.9 MB Fri Dec 18 17:18:14 2020 keeping 143082557 ideals with weight <= 200, target excess is 818164 Fri Dec 18 17:18:31 2020 commencing in-memory singleton removal Fri Dec 18 17:18:44 2020 begin with 158872507 relations and 143082557 unique ideals Fri Dec 18 17:20:29 2020 reduce to 158869903 relations and 143079953 ideals in 8 passes Fri Dec 18 17:20:29 2020 max relations containing the same ideal: 200 Fri Dec 18 17:21:39 2020 removing 14154332 relations and 12154332 ideals in 2000000 cliques Fri Dec 18 17:21:43 2020 commencing in-memory singleton removal Fri Dec 18 17:21:54 2020 begin with 144715571 relations and 143079953 unique ideals Fri Dec 18 17:23:52 2020 reduce to 143591940 relations and 129782409 ideals in 10 passes Fri Dec 18 17:23:52 2020 max relations containing the same ideal: 195 Fri Dec 18 17:24:57 2020 removing 10818634 relations and 8818634 ideals in 2000000 cliques Fri Dec 18 17:25:01 2020 commencing in-memory singleton removal Fri Dec 18 17:25:12 2020 begin with 132773306 relations and 129782409 unique ideals Fri Dec 18 17:26:50 2020 reduce to 132032008 relations and 120211302 ideals in 9 passes Fri Dec 18 17:26:50 2020 max relations containing the same ideal: 189 Fri Dec 18 17:27:49 2020 removing 9817552 relations and 7817552 ideals in 2000000 cliques Fri Dec 18 17:27:52 2020 commencing in-memory singleton removal Fri Dec 18 17:28:02 2020 begin with 122214456 relations and 120211302 unique ideals Fri Dec 18 17:29:21 2020 reduce to 121551064 relations and 111720429 ideals in 8 passes Fri Dec 18 17:29:21 2020 max relations containing the same ideal: 178 Fri Dec 18 17:30:14 2020 removing 9332513 relations and 7332513 ideals in 2000000 cliques Fri Dec 18 17:30:17 2020 commencing in-memory singleton removal Fri Dec 18 17:30:25 2020 begin with 112218551 relations and 111720429 unique ideals Fri Dec 18 17:31:37 2020 reduce to 111569750 relations and 103728852 ideals in 8 passes Fri Dec 18 17:31:37 2020 max relations containing the same ideal: 169 Fri Dec 18 17:32:30 2020 removing 9066559 relations and 7066559 ideals in 2000000 cliques Fri Dec 18 17:32:33 2020 commencing in-memory singleton removal Fri Dec 18 17:32:40 2020 begin with 102503191 relations and 103728852 unique ideals Fri Dec 18 17:33:47 2020 reduce to 101836308 relations and 95984327 ideals in 8 passes Fri Dec 18 17:33:47 2020 max relations containing the same ideal: 162 Fri Dec 18 17:34:34 2020 removing 8922223 relations and 6922223 ideals in 2000000 cliques Fri Dec 18 17:34:38 2020 commencing in-memory singleton removal Fri Dec 18 17:34:45 2020 begin with 92914085 relations and 95984327 unique ideals Fri Dec 18 17:35:50 2020 reduce to 92211620 relations and 88347090 ideals in 9 passes Fri Dec 18 17:35:50 2020 max relations containing the same ideal: 150 Fri Dec 18 17:36:32 2020 removing 8864030 relations and 6864030 ideals in 2000000 cliques Fri Dec 18 17:36:35 2020 commencing in-memory singleton removal Fri Dec 18 17:36:41 2020 begin with 83347590 relations and 88347090 unique ideals Fri Dec 18 17:37:40 2020 reduce to 82579876 relations and 80700426 ideals in 9 passes Fri Dec 18 17:37:40 2020 max relations containing the same ideal: 143 Fri Dec 18 17:38:19 2020 removing 4868256 relations and 3937877 ideals in 930379 cliques Fri Dec 18 17:38:21 2020 commencing in-memory singleton removal Fri Dec 18 17:38:27 2020 begin with 77711620 relations and 80700426 unique ideals Fri Dec 18 17:39:10 2020 reduce to 77474672 relations and 76523101 ideals in 7 passes Fri Dec 18 17:39:10 2020 max relations containing the same ideal: 134 Fri Dec 18 17:39:57 2020 relations with 0 large ideals: 30710 Fri Dec 18 17:39:57 2020 relations with 1 large ideals: 5673 Fri Dec 18 17:39:57 2020 relations with 2 large ideals: 87831 Fri Dec 18 17:39:57 2020 relations with 3 large ideals: 732958 Fri Dec 18 17:39:57 2020 relations with 4 large ideals: 3413479 Fri Dec 18 17:39:57 2020 relations with 5 large ideals: 9703125 Fri Dec 18 17:39:57 2020 relations with 6 large ideals: 17553795 Fri Dec 18 17:39:57 2020 relations with 7+ large ideals: 45947101 Fri Dec 18 17:39:57 2020 commencing 2-way merge Fri Dec 18 17:40:49 2020 reduce to 49330347 relation sets and 48378776 unique ideals Fri Dec 18 17:40:49 2020 commencing full merge Fri Dec 18 18:21:50 2020 memory use: 2236.2 MB Fri Dec 18 18:21:50 2020 found 245890 cycles, need 10328864 Fri Dec 18 18:21:50 2020 too few cycles, matrix probably cannot build Fri Dec 18 18:32:37 2020 Fri Dec 18 18:32:37 2020 Fri Dec 18 18:32:37 2020 Msieve v. 1.53 (SVN 988M) Fri Dec 18 18:32:37 2020 random seeds: 0f93619b 73383976 Fri Dec 18 18:32:37 2020 factoring 3557476825584074523626141119131284720818433345255571798807840633164029997092314889363413908015914169945511419088824886271478160013365034892325967713723313895106737029561832633027700589079840210378212505320353489361330304701 (223 digits) Fri Dec 18 18:32:37 2020 searching for 15-digit factors Fri Dec 18 18:32:39 2020 commencing number field sieve (223-digit input) Fri Dec 18 18:32:39 2020 R0: 25585011002090143406286444340093545229467499 Fri Dec 18 18:32:39 2020 R1: -1 Fri Dec 18 18:32:39 2020 A0: -480393499 Fri Dec 18 18:32:39 2020 A1: 0 Fri Dec 18 18:32:39 2020 A2: 0 Fri Dec 18 18:32:39 2020 A3: 0 Fri Dec 18 18:32:39 2020 A4: 0 Fri Dec 18 18:32:39 2020 A5: 0 Fri Dec 18 18:32:39 2020 A6: 1 Fri Dec 18 18:32:39 2020 skew 27.98, size 2.557e-13, alpha -1.618, combined = 4.459e-14 rroots = 2 Fri Dec 18 18:32:39 2020 Fri Dec 18 18:32:39 2020 commencing relation filtering Fri Dec 18 18:32:39 2020 setting target matrix density to 110.0 Fri Dec 18 18:32:39 2020 estimated available RAM is 32768.0 MB Fri Dec 18 18:32:39 2020 commencing duplicate removal, pass 1 Fri Dec 18 18:46:16 2020 error -15 reading relation 124007400 Fri Dec 18 18:50:44 2020 error -15 reading relation 164303582 Fri Dec 18 18:51:58 2020 error -15 reading relation 175476168 Fri Dec 18 18:56:42 2020 error -15 reading relation 218198095 Fri Dec 18 18:56:43 2020 error -15 reading relation 218360122 Fri Dec 18 18:56:45 2020 error -15 reading relation 218568960 Fri Dec 18 18:56:45 2020 error -15 reading relation 218569586 Fri Dec 18 18:56:51 2020 error -1 reading relation 219470144 Fri Dec 18 18:56:51 2020 error -1 reading relation 219484803 Fri Dec 18 18:56:51 2020 error -5 reading relation 219526828 Fri Dec 18 18:56:52 2020 error -15 reading relation 219605833 Fri Dec 18 18:56:52 2020 error -11 reading relation 219658050 Fri Dec 18 18:56:52 2020 error -1 reading relation 219669280 Fri Dec 18 18:56:52 2020 error -5 reading relation 219719360 Fri Dec 18 18:57:05 2020 error -15 reading relation 221680936 Fri Dec 18 18:57:06 2020 error -15 reading relation 221715223 Fri Dec 18 18:57:06 2020 error -1 reading relation 221753514 Fri Dec 18 18:57:06 2020 error -15 reading relation 221789664 Fri Dec 18 18:57:06 2020 error -15 reading relation 221798713 Fri Dec 18 18:57:07 2020 error -1 reading relation 221992908 Fri Dec 18 18:57:08 2020 error -6 reading relation 222093033 Fri Dec 18 18:57:08 2020 error -11 reading relation 222122068 Fri Dec 18 19:00:04 2020 error -15 reading relation 248547361 Fri Dec 18 19:01:00 2020 error -15 reading relation 256856311 Fri Dec 18 19:01:32 2020 skipped 13 relations with b > 2^32 Fri Dec 18 19:01:32 2020 skipped 17 relations with composite factors Fri Dec 18 19:01:32 2020 found 14628475 hash collisions in 260810590 relations Fri Dec 18 19:01:41 2020 commencing duplicate removal, pass 2 Fri Dec 18 19:12:52 2020 found 0 duplicates and 260810590 unique relations Fri Dec 18 19:12:52 2020 memory use: 788.8 MB Fri Dec 18 19:12:52 2020 reading ideals above 199950336 Fri Dec 18 19:12:52 2020 commencing singleton removal, initial pass Fri Dec 18 19:34:43 2020 memory use: 6024.0 MB Fri Dec 18 19:34:44 2020 reading all ideals from disk Fri Dec 18 19:36:38 2020 memory use: 4847.8 MB Fri Dec 18 19:36:48 2020 commencing in-memory singleton removal Fri Dec 18 19:36:58 2020 begin with 260810590 relations and 234554982 unique ideals Fri Dec 18 19:39:13 2020 reduce to 158872507 relations and 121746456 ideals in 17 passes Fri Dec 18 19:39:13 2020 max relations containing the same ideal: 37 Fri Dec 18 19:39:33 2020 reading ideals above 720000 Fri Dec 18 19:39:33 2020 commencing singleton removal, initial pass Fri Dec 18 19:57:39 2020 memory use: 3012.0 MB Fri Dec 18 19:57:39 2020 reading all ideals from disk Fri Dec 18 20:00:14 2020 memory use: 6637.9 MB Fri Dec 18 20:00:29 2020 keeping 143082557 ideals with weight <= 200, target excess is 818164 Fri Dec 18 20:00:45 2020 commencing in-memory singleton removal Fri Dec 18 20:00:57 2020 begin with 158872507 relations and 143082557 unique ideals Fri Dec 18 20:02:41 2020 reduce to 158869903 relations and 143079953 ideals in 8 passes Fri Dec 18 20:02:41 2020 max relations containing the same ideal: 200 Fri Dec 18 20:03:51 2020 removing 14154332 relations and 12154332 ideals in 2000000 cliques Fri Dec 18 20:03:56 2020 commencing in-memory singleton removal Fri Dec 18 20:04:08 2020 begin with 144715571 relations and 143079953 unique ideals Fri Dec 18 20:06:07 2020 reduce to 143591940 relations and 129782409 ideals in 10 passes Fri Dec 18 20:06:07 2020 max relations containing the same ideal: 195 Fri Dec 18 20:07:10 2020 removing 10818634 relations and 8818634 ideals in 2000000 cliques Fri Dec 18 20:07:14 2020 commencing in-memory singleton removal Fri Dec 18 20:07:24 2020 begin with 132773306 relations and 129782409 unique ideals Fri Dec 18 20:09:01 2020 reduce to 132032008 relations and 120211302 ideals in 9 passes Fri Dec 18 20:09:01 2020 max relations containing the same ideal: 189 Fri Dec 18 20:10:00 2020 removing 9817552 relations and 7817552 ideals in 2000000 cliques Fri Dec 18 20:10:03 2020 commencing in-memory singleton removal Fri Dec 18 20:10:12 2020 begin with 122214456 relations and 120211302 unique ideals Fri Dec 18 20:11:31 2020 reduce to 121551064 relations and 111720429 ideals in 8 passes Fri Dec 18 20:11:31 2020 max relations containing the same ideal: 178 Fri Dec 18 20:12:27 2020 removing 9332513 relations and 7332513 ideals in 2000000 cliques Fri Dec 18 20:12:30 2020 commencing in-memory singleton removal Fri Dec 18 20:12:39 2020 begin with 112218551 relations and 111720429 unique ideals Fri Dec 18 20:13:52 2020 reduce to 111569750 relations and 103728852 ideals in 8 passes Fri Dec 18 20:13:52 2020 max relations containing the same ideal: 169 Fri Dec 18 20:14:44 2020 removing 9066559 relations and 7066559 ideals in 2000000 cliques Fri Dec 18 20:14:47 2020 commencing in-memory singleton removal Fri Dec 18 20:14:54 2020 begin with 102503191 relations and 103728852 unique ideals Fri Dec 18 20:16:00 2020 reduce to 101836308 relations and 95984327 ideals in 8 passes Fri Dec 18 20:16:00 2020 max relations containing the same ideal: 162 Fri Dec 18 20:16:46 2020 removing 8922223 relations and 6922223 ideals in 2000000 cliques Fri Dec 18 20:16:49 2020 commencing in-memory singleton removal Fri Dec 18 20:16:56 2020 begin with 92914085 relations and 95984327 unique ideals Fri Dec 18 20:18:01 2020 reduce to 92211620 relations and 88347090 ideals in 9 passes Fri Dec 18 20:18:01 2020 max relations containing the same ideal: 150 Fri Dec 18 20:18:44 2020 removing 8864030 relations and 6864030 ideals in 2000000 cliques Fri Dec 18 20:18:47 2020 commencing in-memory singleton removal Fri Dec 18 20:18:53 2020 begin with 83347590 relations and 88347090 unique ideals Fri Dec 18 20:19:52 2020 reduce to 82579876 relations and 80700426 ideals in 9 passes Fri Dec 18 20:19:52 2020 max relations containing the same ideal: 143 Fri Dec 18 20:20:31 2020 removing 4868256 relations and 3937877 ideals in 930379 cliques Fri Dec 18 20:20:34 2020 commencing in-memory singleton removal Fri Dec 18 20:20:39 2020 begin with 77711620 relations and 80700426 unique ideals Fri Dec 18 20:21:22 2020 reduce to 77474672 relations and 76523101 ideals in 7 passes Fri Dec 18 20:21:22 2020 max relations containing the same ideal: 134 Fri Dec 18 20:22:08 2020 relations with 0 large ideals: 30710 Fri Dec 18 20:22:08 2020 relations with 1 large ideals: 5673 Fri Dec 18 20:22:08 2020 relations with 2 large ideals: 87831 Fri Dec 18 20:22:08 2020 relations with 3 large ideals: 732958 Fri Dec 18 20:22:08 2020 relations with 4 large ideals: 3413479 Fri Dec 18 20:22:08 2020 relations with 5 large ideals: 9703125 Fri Dec 18 20:22:08 2020 relations with 6 large ideals: 17553795 Fri Dec 18 20:22:08 2020 relations with 7+ large ideals: 45947101 Fri Dec 18 20:22:08 2020 commencing 2-way merge Fri Dec 18 20:22:59 2020 reduce to 49330347 relation sets and 48378776 unique ideals Fri Dec 18 20:22:59 2020 commencing full merge Fri Dec 18 20:42:58 2020 memory use: 6162.0 MB Fri Dec 18 20:43:11 2020 found 22515844 cycles, need 22488976 Fri Dec 18 20:43:12 2020 weight of 22488976 cycles is about 2474197241 (110.02/cycle) Fri Dec 18 20:43:12 2020 distribution of cycle lengths: Fri Dec 18 20:43:12 2020 1 relations: 1994487 Fri Dec 18 20:43:12 2020 2 relations: 1913818 Fri Dec 18 20:43:12 2020 3 relations: 1881551 Fri Dec 18 20:43:12 2020 4 relations: 1784097 Fri Dec 18 20:43:12 2020 5 relations: 1702789 Fri Dec 18 20:43:12 2020 6 relations: 1588380 Fri Dec 18 20:43:12 2020 7 relations: 1489833 Fri Dec 18 20:43:12 2020 8 relations: 1379473 Fri Dec 18 20:43:12 2020 9 relations: 1259211 Fri Dec 18 20:43:12 2020 10+ relations: 7495337 Fri Dec 18 20:43:12 2020 heaviest cycle: 28 relations Fri Dec 18 20:43:23 2020 commencing cycle optimization Fri Dec 18 20:44:13 2020 start with 176938305 relations Fri Dec 18 20:52:35 2020 pruned 6481854 relations Fri Dec 18 20:52:35 2020 memory use: 5001.1 MB Fri Dec 18 20:52:35 2020 distribution of cycle lengths: Fri Dec 18 20:52:35 2020 1 relations: 1994487 Fri Dec 18 20:52:35 2020 2 relations: 1957740 Fri Dec 18 20:52:35 2020 3 relations: 1954105 Fri Dec 18 20:52:35 2020 4 relations: 1844383 Fri Dec 18 20:52:35 2020 5 relations: 1769152 Fri Dec 18 20:52:35 2020 6 relations: 1642198 Fri Dec 18 20:52:35 2020 7 relations: 1540829 Fri Dec 18 20:52:35 2020 8 relations: 1416147 Fri Dec 18 20:52:35 2020 9 relations: 1291285 Fri Dec 18 20:52:35 2020 10+ relations: 7078650 Fri Dec 18 20:52:35 2020 heaviest cycle: 28 relations Fri Dec 18 20:53:53 2020 RelProcTime: 8474 Fri Dec 18 20:53:53 2020 elapsed time 02:21:16 Sun Dec 20 22:37:44 2020 Sun Dec 20 22:37:44 2020 Sun Dec 20 22:37:44 2020 Msieve v. 1.53 (SVN 988M) Sun Dec 20 22:37:44 2020 random seeds: 6df94dc6 7b013687 Sun Dec 20 22:37:44 2020 factoring 3557476825584074523626141119131284720818433345255571798807840633164029997092314889363413908015914169945511419088824886271478160013365034892325967713723313895106737029561832633027700589079840210378212505320353489361330304701 (223 digits) Sun Dec 20 22:37:45 2020 searching for 15-digit factors Sun Dec 20 22:37:46 2020 commencing number field sieve (223-digit input) Sun Dec 20 22:37:46 2020 R0: 25585011002090143406286444340093545229467499 Sun Dec 20 22:37:46 2020 R1: -1 Sun Dec 20 22:37:46 2020 A0: -480393499 Sun Dec 20 22:37:46 2020 A1: 0 Sun Dec 20 22:37:46 2020 A2: 0 Sun Dec 20 22:37:46 2020 A3: 0 Sun Dec 20 22:37:46 2020 A4: 0 Sun Dec 20 22:37:46 2020 A5: 0 Sun Dec 20 22:37:46 2020 A6: 1 Sun Dec 20 22:37:46 2020 skew 27.98, size 2.557e-13, alpha -1.618, combined = 4.459e-14 rroots = 2 Sun Dec 20 22:37:46 2020 Sun Dec 20 22:37:46 2020 commencing relation filtering Sun Dec 20 22:37:46 2020 setting target matrix density to 120.0 Sun Dec 20 22:37:46 2020 estimated available RAM is 32768.0 MB Sun Dec 20 22:37:46 2020 commencing duplicate removal, pass 1 Sun Dec 20 22:52:20 2020 error -15 reading relation 124007400 Sun Dec 20 22:56:58 2020 error -15 reading relation 164303582 Sun Dec 20 22:58:16 2020 error -15 reading relation 175476168 Sun Dec 20 23:03:13 2020 error -15 reading relation 218198095 Sun Dec 20 23:03:14 2020 error -15 reading relation 218360122 Sun Dec 20 23:03:15 2020 error -15 reading relation 218568960 Sun Dec 20 23:03:15 2020 error -15 reading relation 218569586 Sun Dec 20 23:03:22 2020 error -1 reading relation 219470144 Sun Dec 20 23:03:22 2020 error -1 reading relation 219484803 Sun Dec 20 23:03:22 2020 error -5 reading relation 219526828 Sun Dec 20 23:03:22 2020 error -15 reading relation 219605833 Sun Dec 20 23:03:23 2020 error -11 reading relation 219658050 Sun Dec 20 23:03:23 2020 error -1 reading relation 219669280 Sun Dec 20 23:03:23 2020 error -5 reading relation 219719360 Sun Dec 20 23:03:37 2020 error -15 reading relation 221680936 Sun Dec 20 23:03:37 2020 error -15 reading relation 221715223 Sun Dec 20 23:03:37 2020 error -1 reading relation 221753514 Sun Dec 20 23:03:38 2020 error -15 reading relation 221789664 Sun Dec 20 23:03:38 2020 error -15 reading relation 221798713 Sun Dec 20 23:03:39 2020 error -1 reading relation 221992908 Sun Dec 20 23:03:40 2020 error -6 reading relation 222093033 Sun Dec 20 23:03:40 2020 error -11 reading relation 222122068 Sun Dec 20 23:06:44 2020 error -15 reading relation 248547361 Sun Dec 20 23:07:42 2020 error -15 reading relation 256856311 Sun Dec 20 23:08:38 2020 skipped 13 relations with b > 2^32 Sun Dec 20 23:08:38 2020 skipped 18 relations with composite factors Sun Dec 20 23:08:38 2020 found 15080040 hash collisions in 264970948 relations Sun Dec 20 23:08:50 2020 added 1220264 free relations Sun Dec 20 23:08:51 2020 commencing duplicate removal, pass 2 Sun Dec 20 23:20:19 2020 found 0 duplicates and 266191212 unique relations Sun Dec 20 23:20:19 2020 memory use: 788.8 MB Sun Dec 20 23:20:20 2020 reading ideals above 199950336 Sun Dec 20 23:20:20 2020 commencing singleton removal, initial pass Sun Dec 20 23:43:32 2020 memory use: 6024.0 MB Sun Dec 20 23:43:33 2020 reading all ideals from disk Sun Dec 20 23:45:29 2020 memory use: 4951.7 MB Sun Dec 20 23:45:40 2020 commencing in-memory singleton removal Sun Dec 20 23:45:51 2020 begin with 266191212 relations and 236047030 unique ideals Sun Dec 20 23:48:14 2020 reduce to 166842752 relations and 126491206 ideals in 17 passes Sun Dec 20 23:48:14 2020 max relations containing the same ideal: 38 Sun Dec 20 23:48:34 2020 reading ideals above 720000 Sun Dec 20 23:48:35 2020 commencing singleton removal, initial pass Mon Dec 21 00:08:25 2020 memory use: 3012.0 MB Mon Dec 21 00:08:26 2020 reading all ideals from disk Mon Dec 21 00:11:09 2020 memory use: 6973.6 MB Mon Dec 21 00:11:25 2020 keeping 147785362 ideals with weight <= 200, target excess is 860211 Mon Dec 21 00:11:43 2020 commencing in-memory singleton removal Mon Dec 21 00:11:56 2020 begin with 166842752 relations and 147785362 unique ideals Mon Dec 21 00:13:33 2020 reduce to 166841894 relations and 147784504 ideals in 7 passes Mon Dec 21 00:13:33 2020 max relations containing the same ideal: 200 Mon Dec 21 00:14:47 2020 removing 13686124 relations and 11686124 ideals in 2000000 cliques Mon Dec 21 00:14:52 2020 commencing in-memory singleton removal Mon Dec 21 00:15:04 2020 begin with 153155770 relations and 147784504 unique ideals Mon Dec 21 00:17:00 2020 reduce to 152178438 relations and 135104975 ideals in 9 passes Mon Dec 21 00:17:00 2020 max relations containing the same ideal: 198 Mon Dec 21 00:18:09 2020 removing 10453956 relations and 8453956 ideals in 2000000 cliques Mon Dec 21 00:18:14 2020 commencing in-memory singleton removal Mon Dec 21 00:18:25 2020 begin with 141724482 relations and 135104975 unique ideals Mon Dec 21 00:19:59 2020 reduce to 141083473 relations and 126000930 ideals in 8 passes Mon Dec 21 00:19:59 2020 max relations containing the same ideal: 188 Mon Dec 21 00:21:04 2020 removing 9479645 relations and 7479645 ideals in 2000000 cliques Mon Dec 21 00:21:07 2020 commencing in-memory singleton removal Mon Dec 21 00:21:18 2020 begin with 131603828 relations and 126000930 unique ideals Mon Dec 21 00:22:44 2020 reduce to 131032982 relations and 117942440 ideals in 8 passes Mon Dec 21 00:22:44 2020 max relations containing the same ideal: 179 Mon Dec 21 00:23:43 2020 removing 8993380 relations and 6993380 ideals in 2000000 cliques Mon Dec 21 00:23:47 2020 commencing in-memory singleton removal Mon Dec 21 00:23:56 2020 begin with 122039602 relations and 117942440 unique ideals Mon Dec 21 00:25:28 2020 reduce to 121490899 relations and 110392535 ideals in 9 passes Mon Dec 21 00:25:28 2020 max relations containing the same ideal: 173 Mon Dec 21 00:26:24 2020 removing 8714966 relations and 6714966 ideals in 2000000 cliques Mon Dec 21 00:26:28 2020 commencing in-memory singleton removal Mon Dec 21 00:26:36 2020 begin with 112775933 relations and 110392535 unique ideals Mon Dec 21 00:27:50 2020 reduce to 112221166 relations and 103114342 ideals in 8 passes Mon Dec 21 00:27:50 2020 max relations containing the same ideal: 166 Mon Dec 21 00:28:40 2020 removing 8554437 relations and 6554437 ideals in 2000000 cliques Mon Dec 21 00:28:43 2020 commencing in-memory singleton removal Mon Dec 21 00:28:51 2020 begin with 103666729 relations and 103114342 unique ideals Mon Dec 21 00:29:59 2020 reduce to 103092816 relations and 95976625 ideals in 8 passes Mon Dec 21 00:29:59 2020 max relations containing the same ideal: 154 Mon Dec 21 00:30:49 2020 removing 8471430 relations and 6471430 ideals in 2000000 cliques Mon Dec 21 00:30:52 2020 commencing in-memory singleton removal Mon Dec 21 00:30:59 2020 begin with 94621386 relations and 95976625 unique ideals Mon Dec 21 00:32:00 2020 reduce to 94009696 relations and 88882706 ideals in 8 passes Mon Dec 21 00:32:00 2020 max relations containing the same ideal: 147 Mon Dec 21 00:32:44 2020 removing 8446884 relations and 6446884 ideals in 2000000 cliques Mon Dec 21 00:32:47 2020 commencing in-memory singleton removal Mon Dec 21 00:32:53 2020 begin with 85562812 relations and 88882706 unique ideals Mon Dec 21 00:33:53 2020 reduce to 84897988 relations and 81758386 ideals in 9 passes Mon Dec 21 00:33:53 2020 max relations containing the same ideal: 136 Mon Dec 21 00:34:33 2020 removing 8480870 relations and 6480870 ideals in 2000000 cliques Mon Dec 21 00:34:36 2020 commencing in-memory singleton removal Mon Dec 21 00:34:42 2020 begin with 76417118 relations and 81758386 unique ideals Mon Dec 21 00:35:31 2020 reduce to 75673315 relations and 74518401 ideals in 8 passes Mon Dec 21 00:35:31 2020 max relations containing the same ideal: 127 Mon Dec 21 00:36:08 2020 removing 1083859 relations and 926790 ideals in 157069 cliques Mon Dec 21 00:36:10 2020 commencing in-memory singleton removal Mon Dec 21 00:36:15 2020 begin with 74589456 relations and 74518401 unique ideals Mon Dec 21 00:36:51 2020 reduce to 74577978 relations and 73580113 ideals in 6 passes Mon Dec 21 00:36:51 2020 max relations containing the same ideal: 127 Mon Dec 21 00:37:04 2020 relations with 0 large ideals: 32333 Mon Dec 21 00:37:04 2020 relations with 1 large ideals: 6551 Mon Dec 21 00:37:04 2020 relations with 2 large ideals: 100364 Mon Dec 21 00:37:04 2020 relations with 3 large ideals: 811281 Mon Dec 21 00:37:04 2020 relations with 4 large ideals: 3643378 Mon Dec 21 00:37:04 2020 relations with 5 large ideals: 9976061 Mon Dec 21 00:37:04 2020 relations with 6 large ideals: 17376671 Mon Dec 21 00:37:04 2020 relations with 7+ large ideals: 42631339 Mon Dec 21 00:37:04 2020 commencing 2-way merge Mon Dec 21 00:37:55 2020 reduce to 47710662 relation sets and 46712797 unique ideals Mon Dec 21 00:37:55 2020 commencing full merge Mon Dec 21 01:18:58 2020 memory use: 2159.1 MB Mon Dec 21 01:18:59 2020 found 213852 cycles, need 10021089 Mon Dec 21 01:18:59 2020 too few cycles, matrix probably cannot build Mon Dec 21 03:40:08 2020 Mon Dec 21 03:40:08 2020 Mon Dec 21 03:40:08 2020 Msieve v. 1.53 (SVN 988M) Mon Dec 21 03:40:08 2020 random seeds: 9832afe6 974cae4a Mon Dec 21 03:40:08 2020 factoring 3557476825584074523626141119131284720818433345255571798807840633164029997092314889363413908015914169945511419088824886271478160013365034892325967713723313895106737029561832633027700589079840210378212505320353489361330304701 (223 digits) Mon Dec 21 03:40:09 2020 searching for 15-digit factors Mon Dec 21 03:40:10 2020 commencing number field sieve (223-digit input) Mon Dec 21 03:40:10 2020 R0: 25585011002090143406286444340093545229467499 Mon Dec 21 03:40:10 2020 R1: -1 Mon Dec 21 03:40:10 2020 A0: -480393499 Mon Dec 21 03:40:10 2020 A1: 0 Mon Dec 21 03:40:10 2020 A2: 0 Mon Dec 21 03:40:10 2020 A3: 0 Mon Dec 21 03:40:10 2020 A4: 0 Mon Dec 21 03:40:10 2020 A5: 0 Mon Dec 21 03:40:10 2020 A6: 1 Mon Dec 21 03:40:10 2020 skew 27.98, size 2.557e-13, alpha -1.618, combined = 4.459e-14 rroots = 2 Mon Dec 21 03:40:10 2020 Mon Dec 21 03:40:10 2020 commencing relation filtering Mon Dec 21 03:40:10 2020 setting target matrix density to 116.0 Mon Dec 21 03:40:10 2020 estimated available RAM is 32768.0 MB Mon Dec 21 03:40:10 2020 commencing duplicate removal, pass 1 Mon Dec 21 03:54:22 2020 error -15 reading relation 124007400 Mon Dec 21 03:59:01 2020 error -15 reading relation 164303582 Mon Dec 21 04:00:18 2020 error -15 reading relation 175476168 Mon Dec 21 04:05:15 2020 error -15 reading relation 218198095 Mon Dec 21 04:05:16 2020 error -15 reading relation 218360122 Mon Dec 21 04:05:18 2020 error -15 reading relation 218568960 Mon Dec 21 04:05:18 2020 error -15 reading relation 218569586 Mon Dec 21 04:05:24 2020 error -1 reading relation 219470144 Mon Dec 21 04:05:24 2020 error -1 reading relation 219484803 Mon Dec 21 04:05:24 2020 error -5 reading relation 219526828 Mon Dec 21 04:05:25 2020 error -15 reading relation 219605833 Mon Dec 21 04:05:25 2020 error -11 reading relation 219658050 Mon Dec 21 04:05:25 2020 error -1 reading relation 219669280 Mon Dec 21 04:05:26 2020 error -5 reading relation 219719360 Mon Dec 21 04:05:39 2020 error -15 reading relation 221680936 Mon Dec 21 04:05:40 2020 error -15 reading relation 221715223 Mon Dec 21 04:05:40 2020 error -1 reading relation 221753514 Mon Dec 21 04:05:40 2020 error -15 reading relation 221789664 Mon Dec 21 04:05:40 2020 error -15 reading relation 221798713 Mon Dec 21 04:05:42 2020 error -1 reading relation 221992908 Mon Dec 21 04:05:42 2020 error -6 reading relation 222093033 Mon Dec 21 04:05:42 2020 error -11 reading relation 222122068 Mon Dec 21 04:08:46 2020 error -15 reading relation 248547361 Mon Dec 21 04:09:44 2020 error -15 reading relation 256856311 Mon Dec 21 04:10:55 2020 skipped 13 relations with b > 2^32 Mon Dec 21 04:10:55 2020 skipped 18 relations with composite factors Mon Dec 21 04:10:55 2020 found 15213735 hash collisions in 266191212 relations Mon Dec 21 04:11:04 2020 commencing duplicate removal, pass 2 Mon Dec 21 04:22:32 2020 found 0 duplicates and 266191212 unique relations Mon Dec 21 04:22:32 2020 memory use: 788.8 MB Mon Dec 21 04:22:32 2020 reading ideals above 199950336 Mon Dec 21 04:22:32 2020 commencing singleton removal, initial pass Mon Dec 21 04:45:45 2020 memory use: 6024.0 MB Mon Dec 21 04:45:46 2020 reading all ideals from disk Mon Dec 21 04:47:42 2020 memory use: 4951.7 MB Mon Dec 21 04:47:53 2020 commencing in-memory singleton removal Mon Dec 21 04:48:04 2020 begin with 266191212 relations and 236047030 unique ideals Mon Dec 21 04:50:29 2020 reduce to 166842752 relations and 126491206 ideals in 17 passes Mon Dec 21 04:50:29 2020 max relations containing the same ideal: 38 Mon Dec 21 04:50:49 2020 reading ideals above 720000 Mon Dec 21 04:50:50 2020 commencing singleton removal, initial pass Mon Dec 21 05:10:40 2020 memory use: 3012.0 MB Mon Dec 21 05:10:41 2020 reading all ideals from disk Mon Dec 21 05:13:24 2020 memory use: 6973.6 MB Mon Dec 21 05:13:41 2020 keeping 147785362 ideals with weight <= 200, target excess is 860211 Mon Dec 21 05:13:59 2020 commencing in-memory singleton removal Mon Dec 21 05:14:12 2020 begin with 166842752 relations and 147785362 unique ideals Mon Dec 21 05:15:50 2020 reduce to 166841894 relations and 147784504 ideals in 7 passes Mon Dec 21 05:15:50 2020 max relations containing the same ideal: 200 Mon Dec 21 05:17:04 2020 removing 13686124 relations and 11686124 ideals in 2000000 cliques Mon Dec 21 05:17:08 2020 commencing in-memory singleton removal Mon Dec 21 05:17:20 2020 begin with 153155770 relations and 147784504 unique ideals Mon Dec 21 05:19:16 2020 reduce to 152178438 relations and 135104975 ideals in 9 passes Mon Dec 21 05:19:16 2020 max relations containing the same ideal: 198 Mon Dec 21 05:20:26 2020 removing 10453956 relations and 8453956 ideals in 2000000 cliques Mon Dec 21 05:20:31 2020 commencing in-memory singleton removal Mon Dec 21 05:20:42 2020 begin with 141724482 relations and 135104975 unique ideals Mon Dec 21 05:22:17 2020 reduce to 141083473 relations and 126000930 ideals in 8 passes Mon Dec 21 05:22:17 2020 max relations containing the same ideal: 188 Mon Dec 21 05:23:19 2020 removing 9479645 relations and 7479645 ideals in 2000000 cliques Mon Dec 21 05:23:23 2020 commencing in-memory singleton removal Mon Dec 21 05:23:32 2020 begin with 131603828 relations and 126000930 unique ideals Mon Dec 21 05:24:58 2020 reduce to 131032982 relations and 117942440 ideals in 8 passes Mon Dec 21 05:24:58 2020 max relations containing the same ideal: 179 Mon Dec 21 05:25:58 2020 removing 8993380 relations and 6993380 ideals in 2000000 cliques Mon Dec 21 05:26:02 2020 commencing in-memory singleton removal Mon Dec 21 05:26:11 2020 begin with 122039602 relations and 117942440 unique ideals Mon Dec 21 05:27:43 2020 reduce to 121490899 relations and 110392535 ideals in 9 passes Mon Dec 21 05:27:43 2020 max relations containing the same ideal: 173 Mon Dec 21 05:28:40 2020 removing 8714966 relations and 6714966 ideals in 2000000 cliques Mon Dec 21 05:28:43 2020 commencing in-memory singleton removal Mon Dec 21 05:28:51 2020 begin with 112775933 relations and 110392535 unique ideals Mon Dec 21 05:30:04 2020 reduce to 112221166 relations and 103114342 ideals in 8 passes Mon Dec 21 05:30:04 2020 max relations containing the same ideal: 166 Mon Dec 21 05:30:55 2020 removing 8554437 relations and 6554437 ideals in 2000000 cliques Mon Dec 21 05:30:58 2020 commencing in-memory singleton removal Mon Dec 21 05:31:05 2020 begin with 103666729 relations and 103114342 unique ideals Mon Dec 21 05:32:13 2020 reduce to 103092816 relations and 95976625 ideals in 8 passes Mon Dec 21 05:32:13 2020 max relations containing the same ideal: 154 Mon Dec 21 05:33:03 2020 removing 8471430 relations and 6471430 ideals in 2000000 cliques Mon Dec 21 05:33:06 2020 commencing in-memory singleton removal Mon Dec 21 05:33:13 2020 begin with 94621386 relations and 95976625 unique ideals Mon Dec 21 05:34:14 2020 reduce to 94009696 relations and 88882706 ideals in 8 passes Mon Dec 21 05:34:14 2020 max relations containing the same ideal: 147 Mon Dec 21 05:34:57 2020 removing 8446884 relations and 6446884 ideals in 2000000 cliques Mon Dec 21 05:35:00 2020 commencing in-memory singleton removal Mon Dec 21 05:35:06 2020 begin with 85562812 relations and 88882706 unique ideals Mon Dec 21 05:36:08 2020 reduce to 84897988 relations and 81758386 ideals in 9 passes Mon Dec 21 05:36:08 2020 max relations containing the same ideal: 136 Mon Dec 21 05:36:48 2020 removing 8480870 relations and 6480870 ideals in 2000000 cliques Mon Dec 21 05:36:51 2020 commencing in-memory singleton removal Mon Dec 21 05:36:57 2020 begin with 76417118 relations and 81758386 unique ideals Mon Dec 21 05:37:45 2020 reduce to 75673315 relations and 74518401 ideals in 8 passes Mon Dec 21 05:37:45 2020 max relations containing the same ideal: 127 Mon Dec 21 05:38:22 2020 removing 1083859 relations and 926790 ideals in 157069 cliques Mon Dec 21 05:38:24 2020 commencing in-memory singleton removal Mon Dec 21 05:38:29 2020 begin with 74589456 relations and 74518401 unique ideals Mon Dec 21 05:39:04 2020 reduce to 74577978 relations and 73580113 ideals in 6 passes Mon Dec 21 05:39:04 2020 max relations containing the same ideal: 127 Mon Dec 21 05:39:17 2020 relations with 0 large ideals: 32333 Mon Dec 21 05:39:17 2020 relations with 1 large ideals: 6551 Mon Dec 21 05:39:17 2020 relations with 2 large ideals: 100364 Mon Dec 21 05:39:17 2020 relations with 3 large ideals: 811281 Mon Dec 21 05:39:17 2020 relations with 4 large ideals: 3643378 Mon Dec 21 05:39:17 2020 relations with 5 large ideals: 9976061 Mon Dec 21 05:39:17 2020 relations with 6 large ideals: 17376671 Mon Dec 21 05:39:17 2020 relations with 7+ large ideals: 42631339 Mon Dec 21 05:39:17 2020 commencing 2-way merge Mon Dec 21 05:40:08 2020 reduce to 47710662 relation sets and 46712797 unique ideals Mon Dec 21 05:40:08 2020 commencing full merge Mon Dec 21 06:00:57 2020 memory use: 6019.8 MB Mon Dec 21 06:01:12 2020 found 21455980 cycles, need 21452997 Mon Dec 21 06:01:13 2020 weight of 21452997 cycles is about 2488783364 (116.01/cycle) Mon Dec 21 06:01:13 2020 distribution of cycle lengths: Mon Dec 21 06:01:13 2020 1 relations: 1695338 Mon Dec 21 06:01:13 2020 2 relations: 1706829 Mon Dec 21 06:01:13 2020 3 relations: 1707034 Mon Dec 21 06:01:13 2020 4 relations: 1627913 Mon Dec 21 06:01:13 2020 5 relations: 1568211 Mon Dec 21 06:01:13 2020 6 relations: 1498544 Mon Dec 21 06:01:13 2020 7 relations: 1400707 Mon Dec 21 06:01:13 2020 8 relations: 1318649 Mon Dec 21 06:01:13 2020 9 relations: 1220982 Mon Dec 21 06:01:13 2020 10+ relations: 7708790 Mon Dec 21 06:01:13 2020 heaviest cycle: 28 relations Mon Dec 21 06:01:26 2020 commencing cycle optimization Mon Dec 21 06:02:19 2020 start with 177613769 relations Mon Dec 21 06:11:32 2020 pruned 6981510 relations Mon Dec 21 06:11:32 2020 memory use: 4895.7 MB Mon Dec 21 06:11:32 2020 distribution of cycle lengths: Mon Dec 21 06:11:32 2020 1 relations: 1695338 Mon Dec 21 06:11:32 2020 2 relations: 1745948 Mon Dec 21 06:11:32 2020 3 relations: 1773193 Mon Dec 21 06:11:32 2020 4 relations: 1685826 Mon Dec 21 06:11:32 2020 5 relations: 1634909 Mon Dec 21 06:11:32 2020 6 relations: 1553057 Mon Dec 21 06:11:32 2020 7 relations: 1456825 Mon Dec 21 06:11:32 2020 8 relations: 1360953 Mon Dec 21 06:11:32 2020 9 relations: 1257296 Mon Dec 21 06:11:32 2020 10+ relations: 7289652 Mon Dec 21 06:11:32 2020 heaviest cycle: 28 relations Mon Dec 21 06:12:50 2020 RelProcTime: 9160 Mon Dec 21 06:12:50 2020 elapsed time 02:32:42 Mon Dec 21 08:39:00 2020 Mon Dec 21 08:39:00 2020 Mon Dec 21 08:39:00 2020 Msieve v. 1.53 (SVN 988M) Mon Dec 21 08:39:00 2020 random seeds: 01433f58 b6a07885 Mon Dec 21 08:39:00 2020 factoring 3557476825584074523626141119131284720818433345255571798807840633164029997092314889363413908015914169945511419088824886271478160013365034892325967713723313895106737029561832633027700589079840210378212505320353489361330304701 (223 digits) Mon Dec 21 08:39:00 2020 searching for 15-digit factors Mon Dec 21 08:39:02 2020 commencing number field sieve (223-digit input) Mon Dec 21 08:39:02 2020 R0: 25585011002090143406286444340093545229467499 Mon Dec 21 08:39:02 2020 R1: -1 Mon Dec 21 08:39:02 2020 A0: -480393499 Mon Dec 21 08:39:02 2020 A1: 0 Mon Dec 21 08:39:02 2020 A2: 0 Mon Dec 21 08:39:02 2020 A3: 0 Mon Dec 21 08:39:02 2020 A4: 0 Mon Dec 21 08:39:02 2020 A5: 0 Mon Dec 21 08:39:02 2020 A6: 1 Mon Dec 21 08:39:02 2020 skew 27.98, size 2.557e-13, alpha -1.618, combined = 4.459e-14 rroots = 2 Mon Dec 21 08:39:02 2020 Mon Dec 21 08:39:02 2020 commencing linear algebra Mon Dec 21 08:39:05 2020 read 21452997 cycles Mon Dec 21 08:39:53 2020 cycles contain 73945273 unique relations Mon Dec 21 08:51:31 2020 read 73945273 relations Mon Dec 21 08:54:12 2020 using 20 quadratic characters above 4294917295 Mon Dec 21 08:58:23 2020 building initial matrix Mon Dec 21 09:11:28 2020 memory use: 10005.9 MB Mon Dec 21 09:15:34 2020 read 21452997 cycles Mon Dec 21 09:15:37 2020 matrix is 21452820 x 21452997 (9819.8 MB) with weight 2906928806 (135.50/col) Mon Dec 21 09:15:37 2020 sparse part has weight 2338206587 (108.99/col) Mon Dec 21 09:19:22 2020 filtering completed in 2 passes Mon Dec 21 09:19:25 2020 matrix is 21452651 x 21452828 (9819.7 MB) with weight 2906922922 (135.50/col) Mon Dec 21 09:19:25 2020 sparse part has weight 2338205405 (108.99/col) Mon Dec 21 09:24:10 2020 matrix starts at (0, 0) Mon Dec 21 09:24:12 2020 matrix is 21452651 x 21452828 (9819.7 MB) with weight 2906922922 (135.50/col) Mon Dec 21 09:24:12 2020 sparse part has weight 2338205405 (108.99/col) Mon Dec 21 09:24:12 2020 saving the first 48 matrix rows for later Mon Dec 21 09:24:15 2020 matrix includes 64 packed rows Mon Dec 21 09:24:17 2020 matrix is 21452603 x 21452828 (9529.3 MB) with weight 2482112080 (115.70/col) Mon Dec 21 09:24:17 2020 sparse part has weight 2283518381 (106.44/col) Mon Dec 21 09:24:17 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Mon Dec 21 09:26:37 2020 commencing Lanczos iteration (16 threads) Mon Dec 21 09:26:37 2020 memory use: 8163.8 MB Mon Dec 21 09:27:06 2020 linear algebra at 0.0%, ETA 110h20m Mon Dec 21 09:27:15 2020 checkpointing every 200000 dimensions Fri Dec 25 21:18:26 2020 lanczos halted after 339245 iterations (dim = 21452599) Fri Dec 25 21:18:47 2020 recovered 34 nontrivial dependencies Fri Dec 25 21:18:56 2020 BLanczosTime: 391194 Fri Dec 25 21:18:56 2020 Fri Dec 25 21:18:56 2020 commencing square root phase Fri Dec 25 21:18:56 2020 reading relations for dependency 1 Fri Dec 25 21:19:13 2020 read 10726368 cycles Fri Dec 25 21:19:35 2020 cycles contain 36970560 unique relations Fri Dec 25 21:31:13 2020 read 36970560 relations Fri Dec 25 21:34:02 2020 multiplying 36970560 relations Fri Dec 25 21:57:55 2020 multiply complete, coefficients have about 1052.43 million bits Fri Dec 25 21:57:58 2020 initial square root is modulo 2766139729 Fri Dec 25 22:21:51 2020 sqrtTime: 3775 Fri Dec 25 22:21:51 2020 p99 factor: 840272405447092427874227140514705059547201404860135690759520743826805474005005037670035502656722329 Fri Dec 25 22:21:51 2020 p124 factor: 4233718497147613745331063557855487046084363683573630096020857972269548519559853667036307824026620696241764472257902324816069 Fri Dec 25 22:21:51 2020 elapsed time 109:42:51