Sun May 3 13:27:15 2020 Sun May 3 13:27:15 2020 Sun May 3 13:27:15 2020 Msieve v. 1.53 (SVN 988M) Sun May 3 13:27:15 2020 random seeds: a8374873 88a05ac4 Sun May 3 13:27:15 2020 factoring 14285811408291495772033745294875107224207156330922534658573374239978304572322146309917245195452807094153350556265596751332063162024627317192620362002308067541255346521937869402564490893625248195864539841585273492973925996857086417019 (233 digits) Sun May 3 13:27:16 2020 searching for 15-digit factors Sun May 3 13:27:17 2020 commencing number field sieve (233-digit input) Sun May 3 13:27:17 2020 R0: -591541410726415701383522368056534442849 Sun May 3 13:27:17 2020 R1: 1 Sun May 3 13:27:17 2020 A0: 56783761 Sun May 3 13:27:17 2020 A1: 0 Sun May 3 13:27:17 2020 A2: 0 Sun May 3 13:27:17 2020 A3: 56783758 Sun May 3 13:27:17 2020 A4: 0 Sun May 3 13:27:17 2020 A5: 0 Sun May 3 13:27:17 2020 A6: 56806369 Sun May 3 13:27:17 2020 skew 1.00, size 3.504e-13, alpha -1.887, combined = 5.927e-14 rroots = 0 Sun May 3 13:27:17 2020 Sun May 3 13:27:17 2020 commencing relation filtering Sun May 3 13:27:17 2020 setting target matrix density to 120.0 Sun May 3 13:27:17 2020 estimated available RAM is 32768.0 MB Sun May 3 13:27:17 2020 commencing duplicate removal, pass 1 Sun May 3 13:30:27 2020 error -11 reading relation 31659724 Sun May 3 13:30:55 2020 error -11 reading relation 36219537 Sun May 3 13:30:55 2020 error -15 reading relation 36245550 Sun May 3 13:30:55 2020 error -15 reading relation 36246038 Sun May 3 13:39:11 2020 error -1 reading relation 118343163 Sun May 3 13:43:47 2020 error -15 reading relation 163844721 Sun May 3 13:48:34 2020 error -1 reading relation 210851776 Sun May 3 13:48:36 2020 error -1 reading relation 211092299 Sun May 3 13:52:32 2020 error -15 reading relation 249668897 Sun May 3 13:52:41 2020 error -15 reading relation 251118610 Sun May 3 13:56:26 2020 error -15 reading relation 287772012 Sun May 3 13:56:27 2020 error -15 reading relation 288032674 Sun May 3 13:56:27 2020 error -15 reading relation 288034023 Sun May 3 13:58:04 2020 skipped 515 relations with b > 2^32 Sun May 3 13:58:04 2020 skipped 4 relations with composite factors Sun May 3 13:58:04 2020 found 19597750 hash collisions in 303775355 relations Sun May 3 13:58:13 2020 added 813602 free relations Sun May 3 13:58:14 2020 commencing duplicate removal, pass 2 Sun May 3 14:11:01 2020 found 1 duplicates and 304588956 unique relations Sun May 3 14:11:01 2020 memory use: 788.8 MB Sun May 3 14:11:01 2020 reading ideals above 259325952 Sun May 3 14:11:01 2020 commencing singleton removal, initial pass Sun May 3 14:33:55 2020 memory use: 6024.0 MB Sun May 3 14:33:56 2020 reading all ideals from disk Sun May 3 14:36:08 2020 memory use: 5582.5 MB Sun May 3 14:36:20 2020 commencing in-memory singleton removal Sun May 3 14:36:31 2020 begin with 304588956 relations and 286180592 unique ideals Sun May 3 14:38:57 2020 reduce to 155979201 relations and 118815323 ideals in 19 passes Sun May 3 14:38:57 2020 max relations containing the same ideal: 33 Sun May 3 14:39:15 2020 reading ideals above 720000 Sun May 3 14:39:16 2020 commencing singleton removal, initial pass Sun May 3 14:55:46 2020 memory use: 3012.0 MB Sun May 3 14:55:47 2020 reading all ideals from disk Sun May 3 14:58:18 2020 memory use: 6375.7 MB Sun May 3 14:58:32 2020 keeping 146382505 ideals with weight <= 200, target excess is 762027 Sun May 3 14:58:47 2020 commencing in-memory singleton removal Sun May 3 14:58:59 2020 begin with 155979201 relations and 146382505 unique ideals Sun May 3 15:01:19 2020 reduce to 155944245 relations and 146347549 ideals in 11 passes Sun May 3 15:01:19 2020 max relations containing the same ideal: 200 Sun May 3 15:02:26 2020 removing 10220549 relations and 9220549 ideals in 1000000 cliques Sun May 3 15:02:30 2020 commencing in-memory singleton removal Sun May 3 15:02:41 2020 begin with 145723696 relations and 146347549 unique ideals Sun May 3 15:04:52 2020 reduce to 145123780 relations and 136521174 ideals in 11 passes Sun May 3 15:04:52 2020 max relations containing the same ideal: 198 Sun May 3 15:05:57 2020 removing 7567261 relations and 6567261 ideals in 1000000 cliques Sun May 3 15:06:00 2020 commencing in-memory singleton removal Sun May 3 15:06:10 2020 begin with 137556519 relations and 136521174 unique ideals Sun May 3 15:07:52 2020 reduce to 137195861 relations and 129590350 ideals in 9 passes Sun May 3 15:07:52 2020 max relations containing the same ideal: 194 Sun May 3 15:08:52 2020 removing 6728108 relations and 5728108 ideals in 1000000 cliques Sun May 3 15:08:55 2020 commencing in-memory singleton removal Sun May 3 15:09:05 2020 begin with 130467753 relations and 129590350 unique ideals Sun May 3 15:10:40 2020 reduce to 130167353 relations and 123559465 ideals in 9 passes Sun May 3 15:10:40 2020 max relations containing the same ideal: 188 Sun May 3 15:11:38 2020 removing 6275547 relations and 5275547 ideals in 1000000 cliques Sun May 3 15:11:40 2020 commencing in-memory singleton removal Sun May 3 15:11:49 2020 begin with 123891806 relations and 123559465 unique ideals Sun May 3 15:13:19 2020 reduce to 123617009 relations and 118006988 ideals in 9 passes Sun May 3 15:13:19 2020 max relations containing the same ideal: 184 Sun May 3 15:14:14 2020 removing 5981686 relations and 4981686 ideals in 1000000 cliques Sun May 3 15:14:17 2020 commencing in-memory singleton removal Sun May 3 15:14:25 2020 begin with 117635323 relations and 118006988 unique ideals Sun May 3 15:15:41 2020 reduce to 117373186 relations and 112761050 ideals in 8 passes Sun May 3 15:15:41 2020 max relations containing the same ideal: 175 Sun May 3 15:16:33 2020 removing 5778192 relations and 4778192 ideals in 1000000 cliques Sun May 3 15:16:36 2020 commencing in-memory singleton removal Sun May 3 15:16:44 2020 begin with 111594994 relations and 112761050 unique ideals Sun May 3 15:18:04 2020 reduce to 111338807 relations and 107724518 ideals in 9 passes Sun May 3 15:18:04 2020 max relations containing the same ideal: 169 Sun May 3 15:18:54 2020 removing 5626206 relations and 4626206 ideals in 1000000 cliques Sun May 3 15:18:56 2020 commencing in-memory singleton removal Sun May 3 15:19:04 2020 begin with 105712601 relations and 107724518 unique ideals Sun May 3 15:20:12 2020 reduce to 105458417 relations and 102842013 ideals in 8 passes Sun May 3 15:20:12 2020 max relations containing the same ideal: 165 Sun May 3 15:20:59 2020 removing 5516036 relations and 4516036 ideals in 1000000 cliques Sun May 3 15:21:02 2020 commencing in-memory singleton removal Sun May 3 15:21:09 2020 begin with 99942381 relations and 102842013 unique ideals Sun May 3 15:22:12 2020 reduce to 99685446 relations and 98066837 ideals in 8 passes Sun May 3 15:22:12 2020 max relations containing the same ideal: 158 Sun May 3 15:22:56 2020 removing 4215658 relations and 3481001 ideals in 734657 cliques Sun May 3 15:22:58 2020 commencing in-memory singleton removal Sun May 3 15:23:05 2020 begin with 95469788 relations and 98066837 unique ideals Sun May 3 15:24:05 2020 reduce to 95314608 relations and 94429615 ideals in 8 passes Sun May 3 15:24:05 2020 max relations containing the same ideal: 153 Sun May 3 15:24:57 2020 relations with 0 large ideals: 18759 Sun May 3 15:24:57 2020 relations with 1 large ideals: 5906 Sun May 3 15:24:57 2020 relations with 2 large ideals: 105096 Sun May 3 15:24:57 2020 relations with 3 large ideals: 889567 Sun May 3 15:24:57 2020 relations with 4 large ideals: 4189318 Sun May 3 15:24:57 2020 relations with 5 large ideals: 12011996 Sun May 3 15:24:57 2020 relations with 6 large ideals: 21862283 Sun May 3 15:24:57 2020 relations with 7+ large ideals: 56231683 Sun May 3 15:24:57 2020 commencing 2-way merge Sun May 3 15:25:59 2020 reduce to 59228872 relation sets and 58343879 unique ideals Sun May 3 15:25:59 2020 commencing full merge Sun May 3 16:10:30 2020 memory use: 2695.3 MB Sun May 3 16:10:30 2020 found 319049 cycles, need 12277727 Sun May 3 16:10:30 2020 too few cycles, matrix probably cannot build Sun May 3 17:05:35 2020 Sun May 3 17:05:35 2020 Sun May 3 17:05:35 2020 Msieve v. 1.53 (SVN 988M) Sun May 3 17:05:35 2020 random seeds: a38557b4 da37d8e6 Sun May 3 17:05:35 2020 factoring 14285811408291495772033745294875107224207156330922534658573374239978304572322146309917245195452807094153350556265596751332063162024627317192620362002308067541255346521937869402564490893625248195864539841585273492973925996857086417019 (233 digits) Sun May 3 17:05:36 2020 searching for 15-digit factors Sun May 3 17:05:37 2020 commencing number field sieve (233-digit input) Sun May 3 17:05:37 2020 R0: -591541410726415701383522368056534442849 Sun May 3 17:05:37 2020 R1: 1 Sun May 3 17:05:37 2020 A0: 56783761 Sun May 3 17:05:37 2020 A1: 0 Sun May 3 17:05:37 2020 A2: 0 Sun May 3 17:05:37 2020 A3: 56783758 Sun May 3 17:05:37 2020 A4: 0 Sun May 3 17:05:37 2020 A5: 0 Sun May 3 17:05:37 2020 A6: 56806369 Sun May 3 17:05:37 2020 skew 1.00, size 3.504e-13, alpha -1.887, combined = 5.927e-14 rroots = 0 Sun May 3 17:05:37 2020 Sun May 3 17:05:37 2020 commencing relation filtering Sun May 3 17:05:37 2020 setting target matrix density to 110.0 Sun May 3 17:05:37 2020 estimated available RAM is 32768.0 MB Sun May 3 17:05:37 2020 commencing duplicate removal, pass 1 Sun May 3 17:08:47 2020 error -11 reading relation 31659724 Sun May 3 17:09:14 2020 error -11 reading relation 36219537 Sun May 3 17:09:14 2020 error -15 reading relation 36245550 Sun May 3 17:09:14 2020 error -15 reading relation 36246038 Sun May 3 17:17:30 2020 error -1 reading relation 118343163 Sun May 3 17:22:06 2020 error -15 reading relation 163844721 Sun May 3 17:26:54 2020 error -1 reading relation 210851776 Sun May 3 17:26:56 2020 error -1 reading relation 211092299 Sun May 3 17:30:52 2020 error -15 reading relation 249668897 Sun May 3 17:31:01 2020 error -15 reading relation 251118610 Sun May 3 17:34:46 2020 error -15 reading relation 287772012 Sun May 3 17:34:48 2020 error -15 reading relation 288032674 Sun May 3 17:34:48 2020 error -15 reading relation 288034023 Sun May 3 17:36:34 2020 skipped 515 relations with b > 2^32 Sun May 3 17:36:34 2020 skipped 4 relations with composite factors Sun May 3 17:36:34 2020 found 19697687 hash collisions in 304588957 relations Sun May 3 17:36:41 2020 commencing duplicate removal, pass 2 Sun May 3 17:49:26 2020 found 1 duplicates and 304588956 unique relations Sun May 3 17:49:26 2020 memory use: 788.8 MB Sun May 3 17:49:26 2020 reading ideals above 259325952 Sun May 3 17:49:26 2020 commencing singleton removal, initial pass Sun May 3 18:12:23 2020 memory use: 6024.0 MB Sun May 3 18:12:24 2020 reading all ideals from disk Sun May 3 18:14:37 2020 memory use: 5582.5 MB Sun May 3 18:14:49 2020 commencing in-memory singleton removal Sun May 3 18:15:00 2020 begin with 304588956 relations and 286180592 unique ideals Sun May 3 18:17:27 2020 reduce to 155979201 relations and 118815323 ideals in 19 passes Sun May 3 18:17:27 2020 max relations containing the same ideal: 33 Sun May 3 18:17:46 2020 reading ideals above 720000 Sun May 3 18:17:47 2020 commencing singleton removal, initial pass Sun May 3 18:34:21 2020 memory use: 3012.0 MB Sun May 3 18:34:21 2020 reading all ideals from disk Sun May 3 18:36:52 2020 memory use: 6375.7 MB Sun May 3 18:37:06 2020 keeping 146382505 ideals with weight <= 200, target excess is 762027 Sun May 3 18:37:21 2020 commencing in-memory singleton removal Sun May 3 18:37:33 2020 begin with 155979201 relations and 146382505 unique ideals Sun May 3 18:39:53 2020 reduce to 155944245 relations and 146347549 ideals in 11 passes Sun May 3 18:39:53 2020 max relations containing the same ideal: 200 Sun May 3 18:40:59 2020 removing 10220549 relations and 9220549 ideals in 1000000 cliques Sun May 3 18:41:03 2020 commencing in-memory singleton removal Sun May 3 18:41:14 2020 begin with 145723696 relations and 146347549 unique ideals Sun May 3 18:43:24 2020 reduce to 145123780 relations and 136521174 ideals in 11 passes Sun May 3 18:43:24 2020 max relations containing the same ideal: 198 Sun May 3 18:44:26 2020 removing 7567261 relations and 6567261 ideals in 1000000 cliques Sun May 3 18:44:29 2020 commencing in-memory singleton removal Sun May 3 18:44:39 2020 begin with 137556519 relations and 136521174 unique ideals Sun May 3 18:46:19 2020 reduce to 137195861 relations and 129590350 ideals in 9 passes Sun May 3 18:46:19 2020 max relations containing the same ideal: 194 Sun May 3 18:47:18 2020 removing 6728108 relations and 5728108 ideals in 1000000 cliques Sun May 3 18:47:20 2020 commencing in-memory singleton removal Sun May 3 18:47:30 2020 begin with 130467753 relations and 129590350 unique ideals Sun May 3 18:49:05 2020 reduce to 130167353 relations and 123559465 ideals in 9 passes Sun May 3 18:49:05 2020 max relations containing the same ideal: 188 Sun May 3 18:50:00 2020 removing 6275547 relations and 5275547 ideals in 1000000 cliques Sun May 3 18:50:03 2020 commencing in-memory singleton removal Sun May 3 18:50:12 2020 begin with 123891806 relations and 123559465 unique ideals Sun May 3 18:51:41 2020 reduce to 123617009 relations and 118006988 ideals in 9 passes Sun May 3 18:51:41 2020 max relations containing the same ideal: 184 Sun May 3 18:52:34 2020 removing 5981686 relations and 4981686 ideals in 1000000 cliques Sun May 3 18:52:37 2020 commencing in-memory singleton removal Sun May 3 18:52:45 2020 begin with 117635323 relations and 118006988 unique ideals Sun May 3 18:54:01 2020 reduce to 117373186 relations and 112761050 ideals in 8 passes Sun May 3 18:54:01 2020 max relations containing the same ideal: 175 Sun May 3 18:54:51 2020 removing 5778192 relations and 4778192 ideals in 1000000 cliques Sun May 3 18:54:54 2020 commencing in-memory singleton removal Sun May 3 18:55:02 2020 begin with 111594994 relations and 112761050 unique ideals Sun May 3 18:56:22 2020 reduce to 111338807 relations and 107724518 ideals in 9 passes Sun May 3 18:56:22 2020 max relations containing the same ideal: 169 Sun May 3 18:57:10 2020 removing 5626206 relations and 4626206 ideals in 1000000 cliques Sun May 3 18:57:12 2020 commencing in-memory singleton removal Sun May 3 18:57:20 2020 begin with 105712601 relations and 107724518 unique ideals Sun May 3 18:58:28 2020 reduce to 105458417 relations and 102842013 ideals in 8 passes Sun May 3 18:58:28 2020 max relations containing the same ideal: 165 Sun May 3 18:59:13 2020 removing 5516036 relations and 4516036 ideals in 1000000 cliques Sun May 3 18:59:15 2020 commencing in-memory singleton removal Sun May 3 18:59:23 2020 begin with 99942381 relations and 102842013 unique ideals Sun May 3 19:00:26 2020 reduce to 99685446 relations and 98066837 ideals in 8 passes Sun May 3 19:00:26 2020 max relations containing the same ideal: 158 Sun May 3 19:01:09 2020 removing 4215658 relations and 3481001 ideals in 734657 cliques Sun May 3 19:01:11 2020 commencing in-memory singleton removal Sun May 3 19:01:18 2020 begin with 95469788 relations and 98066837 unique ideals Sun May 3 19:02:18 2020 reduce to 95314608 relations and 94429615 ideals in 8 passes Sun May 3 19:02:18 2020 max relations containing the same ideal: 153 Sun May 3 19:03:09 2020 relations with 0 large ideals: 18759 Sun May 3 19:03:09 2020 relations with 1 large ideals: 5906 Sun May 3 19:03:09 2020 relations with 2 large ideals: 105096 Sun May 3 19:03:09 2020 relations with 3 large ideals: 889567 Sun May 3 19:03:09 2020 relations with 4 large ideals: 4189318 Sun May 3 19:03:09 2020 relations with 5 large ideals: 12011996 Sun May 3 19:03:09 2020 relations with 6 large ideals: 21862283 Sun May 3 19:03:09 2020 relations with 7+ large ideals: 56231683 Sun May 3 19:03:09 2020 commencing 2-way merge Sun May 3 19:04:11 2020 reduce to 59228872 relation sets and 58343879 unique ideals Sun May 3 19:04:11 2020 commencing full merge Sun May 3 19:46:53 2020 memory use: 2695.3 MB Sun May 3 19:46:54 2020 found 319049 cycles, need 12277727 Sun May 3 19:46:54 2020 too few cycles, matrix probably cannot build Sun May 3 19:47:10 2020 Sun May 3 19:47:10 2020 Sun May 3 19:47:10 2020 Msieve v. 1.53 (SVN 988M) Sun May 3 19:47:10 2020 random seeds: 98f7ffc7 4d4e4501 Sun May 3 19:47:10 2020 factoring 14285811408291495772033745294875107224207156330922534658573374239978304572322146309917245195452807094153350556265596751332063162024627317192620362002308067541255346521937869402564490893625248195864539841585273492973925996857086417019 (233 digits) Sun May 3 19:47:11 2020 searching for 15-digit factors Sun May 3 19:47:12 2020 commencing number field sieve (233-digit input) Sun May 3 19:47:12 2020 R0: -591541410726415701383522368056534442849 Sun May 3 19:47:12 2020 R1: 1 Sun May 3 19:47:12 2020 A0: 56783761 Sun May 3 19:47:12 2020 A1: 0 Sun May 3 19:47:12 2020 A2: 0 Sun May 3 19:47:12 2020 A3: 56783758 Sun May 3 19:47:12 2020 A4: 0 Sun May 3 19:47:12 2020 A5: 0 Sun May 3 19:47:12 2020 A6: 56806369 Sun May 3 19:47:12 2020 skew 1.00, size 3.504e-13, alpha -1.887, combined = 5.927e-14 rroots = 0 Sun May 3 19:47:12 2020 Sun May 3 19:47:12 2020 commencing relation filtering Sun May 3 19:47:12 2020 setting target matrix density to 100.0 Sun May 3 19:47:12 2020 estimated available RAM is 32768.0 MB Sun May 3 19:47:12 2020 commencing duplicate removal, pass 1 Sun May 3 19:50:21 2020 error -11 reading relation 31659724 Sun May 3 19:50:49 2020 error -11 reading relation 36219537 Sun May 3 19:50:49 2020 error -15 reading relation 36245550 Sun May 3 19:50:49 2020 error -15 reading relation 36246038 Sun May 3 19:59:04 2020 error -1 reading relation 118343163 Sun May 3 20:03:41 2020 error -15 reading relation 163844721 Sun May 3 20:08:28 2020 error -1 reading relation 210851776 Sun May 3 20:08:30 2020 error -1 reading relation 211092299 Sun May 3 20:12:26 2020 error -15 reading relation 249668897 Sun May 3 20:12:35 2020 error -15 reading relation 251118610 Sun May 3 20:16:20 2020 error -15 reading relation 287772012 Sun May 3 20:16:22 2020 error -15 reading relation 288032674 Sun May 3 20:16:22 2020 error -15 reading relation 288034023 Sun May 3 20:18:07 2020 skipped 515 relations with b > 2^32 Sun May 3 20:18:07 2020 skipped 4 relations with composite factors Sun May 3 20:18:07 2020 found 19697687 hash collisions in 304588957 relations Sun May 3 20:18:15 2020 commencing duplicate removal, pass 2 Sun May 3 20:31:01 2020 found 1 duplicates and 304588956 unique relations Sun May 3 20:31:01 2020 memory use: 788.8 MB Sun May 3 20:31:01 2020 reading ideals above 259325952 Sun May 3 20:31:01 2020 commencing singleton removal, initial pass Sun May 3 20:53:57 2020 memory use: 6024.0 MB Sun May 3 20:53:57 2020 reading all ideals from disk Sun May 3 20:56:09 2020 memory use: 5582.5 MB Sun May 3 20:56:21 2020 commencing in-memory singleton removal Sun May 3 20:56:32 2020 begin with 304588956 relations and 286180592 unique ideals Sun May 3 20:58:58 2020 reduce to 155979201 relations and 118815323 ideals in 19 passes Sun May 3 20:58:58 2020 max relations containing the same ideal: 33 Sun May 3 20:59:17 2020 reading ideals above 720000 Sun May 3 20:59:18 2020 commencing singleton removal, initial pass Sun May 3 21:15:53 2020 memory use: 3012.0 MB Sun May 3 21:15:54 2020 reading all ideals from disk Sun May 3 21:18:25 2020 memory use: 6375.7 MB Sun May 3 21:18:39 2020 keeping 146382505 ideals with weight <= 200, target excess is 762027 Sun May 3 21:18:54 2020 commencing in-memory singleton removal Sun May 3 21:19:06 2020 begin with 155979201 relations and 146382505 unique ideals Sun May 3 21:21:26 2020 reduce to 155944245 relations and 146347549 ideals in 11 passes Sun May 3 21:21:26 2020 max relations containing the same ideal: 200 Sun May 3 21:22:33 2020 removing 10220549 relations and 9220549 ideals in 1000000 cliques Sun May 3 21:22:36 2020 commencing in-memory singleton removal Sun May 3 21:22:47 2020 begin with 145723696 relations and 146347549 unique ideals Sun May 3 21:24:58 2020 reduce to 145123780 relations and 136521174 ideals in 11 passes Sun May 3 21:24:58 2020 max relations containing the same ideal: 198 Sun May 3 21:25:59 2020 removing 7567261 relations and 6567261 ideals in 1000000 cliques Sun May 3 21:26:02 2020 commencing in-memory singleton removal Sun May 3 21:26:12 2020 begin with 137556519 relations and 136521174 unique ideals Sun May 3 21:27:53 2020 reduce to 137195861 relations and 129590350 ideals in 9 passes Sun May 3 21:27:53 2020 max relations containing the same ideal: 194 Sun May 3 21:28:52 2020 removing 6728108 relations and 5728108 ideals in 1000000 cliques Sun May 3 21:28:54 2020 commencing in-memory singleton removal Sun May 3 21:29:04 2020 begin with 130467753 relations and 129590350 unique ideals Sun May 3 21:30:39 2020 reduce to 130167353 relations and 123559465 ideals in 9 passes Sun May 3 21:30:39 2020 max relations containing the same ideal: 188 Sun May 3 21:31:35 2020 removing 6275547 relations and 5275547 ideals in 1000000 cliques Sun May 3 21:31:37 2020 commencing in-memory singleton removal Sun May 3 21:31:46 2020 begin with 123891806 relations and 123559465 unique ideals Sun May 3 21:33:16 2020 reduce to 123617009 relations and 118006988 ideals in 9 passes Sun May 3 21:33:16 2020 max relations containing the same ideal: 184 Sun May 3 21:34:09 2020 removing 5981686 relations and 4981686 ideals in 1000000 cliques Sun May 3 21:34:12 2020 commencing in-memory singleton removal Sun May 3 21:34:20 2020 begin with 117635323 relations and 118006988 unique ideals Sun May 3 21:35:36 2020 reduce to 117373186 relations and 112761050 ideals in 8 passes Sun May 3 21:35:36 2020 max relations containing the same ideal: 175 Sun May 3 21:36:26 2020 removing 5778192 relations and 4778192 ideals in 1000000 cliques Sun May 3 21:36:28 2020 commencing in-memory singleton removal Sun May 3 21:36:37 2020 begin with 111594994 relations and 112761050 unique ideals Sun May 3 21:37:56 2020 reduce to 111338807 relations and 107724518 ideals in 9 passes Sun May 3 21:37:56 2020 max relations containing the same ideal: 169 Sun May 3 21:38:44 2020 removing 5626206 relations and 4626206 ideals in 1000000 cliques Sun May 3 21:38:47 2020 commencing in-memory singleton removal Sun May 3 21:38:54 2020 begin with 105712601 relations and 107724518 unique ideals Sun May 3 21:40:01 2020 reduce to 105458417 relations and 102842013 ideals in 8 passes Sun May 3 21:40:01 2020 max relations containing the same ideal: 165 Sun May 3 21:40:47 2020 removing 5516036 relations and 4516036 ideals in 1000000 cliques Sun May 3 21:40:49 2020 commencing in-memory singleton removal Sun May 3 21:40:56 2020 begin with 99942381 relations and 102842013 unique ideals Sun May 3 21:41:59 2020 reduce to 99685446 relations and 98066837 ideals in 8 passes Sun May 3 21:41:59 2020 max relations containing the same ideal: 158 Sun May 3 21:42:42 2020 removing 4215658 relations and 3481001 ideals in 734657 cliques Sun May 3 21:42:44 2020 commencing in-memory singleton removal Sun May 3 21:42:51 2020 begin with 95469788 relations and 98066837 unique ideals Sun May 3 21:43:51 2020 reduce to 95314608 relations and 94429615 ideals in 8 passes Sun May 3 21:43:51 2020 max relations containing the same ideal: 153 Sun May 3 21:44:42 2020 relations with 0 large ideals: 18759 Sun May 3 21:44:42 2020 relations with 1 large ideals: 5906 Sun May 3 21:44:42 2020 relations with 2 large ideals: 105096 Sun May 3 21:44:42 2020 relations with 3 large ideals: 889567 Sun May 3 21:44:42 2020 relations with 4 large ideals: 4189318 Sun May 3 21:44:42 2020 relations with 5 large ideals: 12011996 Sun May 3 21:44:42 2020 relations with 6 large ideals: 21862283 Sun May 3 21:44:42 2020 relations with 7+ large ideals: 56231683 Sun May 3 21:44:42 2020 commencing 2-way merge Sun May 3 21:45:44 2020 reduce to 59228872 relation sets and 58343879 unique ideals Sun May 3 21:45:45 2020 commencing full merge Sun May 3 22:06:05 2020 memory use: 7189.7 MB Sun May 3 22:06:20 2020 found 27817160 cycles, need 27788079 Sun May 3 22:06:21 2020 weight of 27788079 cycles is about 2778974612 (100.01/cycle) Sun May 3 22:06:21 2020 distribution of cycle lengths: Sun May 3 22:06:21 2020 1 relations: 2666475 Sun May 3 22:06:21 2020 2 relations: 2698390 Sun May 3 22:06:21 2020 3 relations: 2628905 Sun May 3 22:06:21 2020 4 relations: 2384623 Sun May 3 22:06:21 2020 5 relations: 2205441 Sun May 3 22:06:21 2020 6 relations: 1984858 Sun May 3 22:06:21 2020 7 relations: 1803474 Sun May 3 22:06:21 2020 8 relations: 1604681 Sun May 3 22:06:21 2020 9 relations: 1441234 Sun May 3 22:06:21 2020 10+ relations: 8369998 Sun May 3 22:06:21 2020 heaviest cycle: 28 relations Sun May 3 22:06:36 2020 commencing cycle optimization Sun May 3 22:07:35 2020 start with 206337175 relations Sun May 3 22:16:01 2020 pruned 6335421 relations Sun May 3 22:16:01 2020 memory use: 6046.7 MB Sun May 3 22:16:01 2020 distribution of cycle lengths: Sun May 3 22:16:01 2020 1 relations: 2666475 Sun May 3 22:16:01 2020 2 relations: 2758852 Sun May 3 22:16:01 2020 3 relations: 2726339 Sun May 3 22:16:01 2020 4 relations: 2454504 Sun May 3 22:16:01 2020 5 relations: 2273053 Sun May 3 22:16:01 2020 6 relations: 2032142 Sun May 3 22:16:01 2020 7 relations: 1840375 Sun May 3 22:16:01 2020 8 relations: 1628036 Sun May 3 22:16:01 2020 9 relations: 1457953 Sun May 3 22:16:01 2020 10+ relations: 7950350 Sun May 3 22:16:01 2020 heaviest cycle: 28 relations Sun May 3 22:17:26 2020 RelProcTime: 9014 Sun May 3 22:17:28 2020 Sun May 3 22:17:28 2020 commencing linear algebra Sun May 3 22:17:33 2020 read 27788079 cycles Sun May 3 22:18:29 2020 cycles contain 94598031 unique relations Sun May 3 22:31:23 2020 read 94598031 relations Sun May 3 22:34:45 2020 using 20 quadratic characters above 4294917295 Sun May 3 22:40:12 2020 building initial matrix Sun May 3 22:54:51 2020 memory use: 12478.7 MB Sun May 3 22:59:34 2020 read 27788079 cycles Sun May 3 22:59:38 2020 matrix is 27787901 x 27788079 (11252.2 MB) with weight 3332175243 (119.91/col) Sun May 3 22:59:38 2020 sparse part has weight 2644040088 (95.15/col) Sun May 3 23:04:07 2020 filtering completed in 2 passes Sun May 3 23:04:11 2020 matrix is 27786257 x 27786435 (11252.1 MB) with weight 3332118163 (119.92/col) Sun May 3 23:04:11 2020 sparse part has weight 2644025923 (95.16/col) Sun May 3 23:11:46 2020 matrix starts at (0, 0) Sun May 3 23:11:49 2020 matrix is 27786257 x 27786435 (11252.1 MB) with weight 3332118163 (119.92/col) Sun May 3 23:11:49 2020 sparse part has weight 2644025923 (95.16/col) Sun May 3 23:11:49 2020 saving the first 48 matrix rows for later Sun May 3 23:11:53 2020 matrix includes 64 packed rows Sun May 3 23:11:55 2020 matrix is 27786209 x 27786435 (10888.2 MB) with weight 2807389446 (101.03/col) Sun May 3 23:11:55 2020 sparse part has weight 2576410778 (92.72/col) Sun May 3 23:11:55 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sun May 3 23:15:06 2020 commencing Lanczos iteration (16 threads) Sun May 3 23:15:06 2020 memory use: 9344.5 MB Sun May 3 23:15:45 2020 linear algebra at 0.0%, ETA 188h22m Sun May 3 23:15:57 2020 checkpointing every 150000 dimensions Mon May 11 18:55:54 2020 lanczos halted after 439410 iterations (dim = 27786209) Mon May 11 18:56:17 2020 recovered 36 nontrivial dependencies Mon May 11 18:56:32 2020 BLanczosTime: 679144 Mon May 11 18:56:32 2020 Mon May 11 18:56:32 2020 commencing square root phase Mon May 11 18:56:32 2020 handling dependencies 1 to 64 Mon May 11 18:56:32 2020 reading relations for dependency 1 Mon May 11 18:56:53 2020 read 13887128 cycles Mon May 11 18:57:18 2020 cycles contain 47276528 unique relations Mon May 11 19:10:07 2020 read 47276528 relations Mon May 11 19:13:47 2020 multiplying 47276528 relations Mon May 11 20:17:58 2020 multiply complete, coefficients have about 2425.10 million bits Mon May 11 20:18:06 2020 initial square root is modulo 274889 Mon May 11 21:22:34 2020 sqrtTime: 8762 Mon May 11 21:22:34 2020 p67 factor: 1078830952667183610294889805271579471654267535572992432200068683311 Mon May 11 21:22:34 2020 p167 factor: 13241936906771926302014836762105045169495108522510058509666200830004810659488360434590321977819602404874723592203956069047640954857724816320218171595650170856720391029 Mon May 11 21:22:34 2020 elapsed time 193:35:24