Tue Oct 8 10:57:43 2019 Tue Oct 8 10:57:43 2019 Tue Oct 8 10:57:43 2019 Msieve v. 1.53 (SVN 988M) Tue Oct 8 10:57:43 2019 random seeds: b03442d7 65597378 Tue Oct 8 10:57:43 2019 factoring 207758503684948261736152815624460979627854259163244094092066974429418683019840059300549020174655158678115244331428435603321347707186591050070183591018485193526647644507601279495969656820823169 (192 digits) Tue Oct 8 10:57:44 2019 searching for 15-digit factors Tue Oct 8 10:57:45 2019 commencing number field sieve (192-digit input) Tue Oct 8 10:57:45 2019 R0: 1224809639974238708818962962512535510581248 Tue Oct 8 10:57:45 2019 R1: -41144777789250865278081232758997200423491 Tue Oct 8 10:57:45 2019 A0: 12 Tue Oct 8 10:57:45 2019 A1: 0 Tue Oct 8 10:57:45 2019 A2: 0 Tue Oct 8 10:57:45 2019 A3: 0 Tue Oct 8 10:57:45 2019 A4: 0 Tue Oct 8 10:57:45 2019 A5: 0 Tue Oct 8 10:57:45 2019 A6: 11 Tue Oct 8 10:57:45 2019 skew 1.01, size 1.589e-12, alpha 0.567, combined = 1.653e-13 rroots = 0 Tue Oct 8 10:57:45 2019 Tue Oct 8 10:57:45 2019 commencing relation filtering Tue Oct 8 10:57:45 2019 setting target matrix density to 130.0 Tue Oct 8 10:57:45 2019 estimated available RAM is 32768.0 MB Tue Oct 8 10:57:45 2019 commencing duplicate removal, pass 1 Tue Oct 8 11:04:49 2019 error -5 reading relation 66752228 Tue Oct 8 11:10:34 2019 error -15 reading relation 122296816 Tue Oct 8 11:11:46 2019 error -15 reading relation 134374659 Tue Oct 8 11:15:43 2019 error -15 reading relation 174182549 Tue Oct 8 11:18:33 2019 error -11 reading relation 202751036 Tue Oct 8 11:18:33 2019 error -11 reading relation 202751202 Tue Oct 8 11:18:33 2019 error -15 reading relation 202751586 Tue Oct 8 11:18:33 2019 error -15 reading relation 202751609 Tue Oct 8 11:18:33 2019 error -15 reading relation 202751630 Tue Oct 8 11:18:33 2019 error -11 reading relation 202752176 Tue Oct 8 11:18:33 2019 error -11 reading relation 202752836 Tue Oct 8 11:18:33 2019 error -1 reading relation 202752899 Tue Oct 8 11:18:33 2019 error -11 reading relation 202752938 Tue Oct 8 11:18:33 2019 error -1 reading relation 202753042 Tue Oct 8 11:18:33 2019 error -1 reading relation 202753699 Tue Oct 8 11:18:33 2019 error -11 reading relation 202753860 Tue Oct 8 11:18:33 2019 error -11 reading relation 202754012 Tue Oct 8 11:18:33 2019 error -11 reading relation 202754366 Tue Oct 8 11:18:33 2019 error -11 reading relation 202754526 Tue Oct 8 11:18:33 2019 error -11 reading relation 202754585 Tue Oct 8 11:18:33 2019 error -15 reading relation 202754801 Tue Oct 8 11:18:33 2019 error -15 reading relation 202755225 Tue Oct 8 11:18:33 2019 error -11 reading relation 202755554 Tue Oct 8 11:18:33 2019 error -11 reading relation 202755747 Tue Oct 8 11:18:33 2019 error -15 reading relation 202756480 Tue Oct 8 11:18:33 2019 error -15 reading relation 202756504 Tue Oct 8 11:18:33 2019 error -15 reading relation 202756657 Tue Oct 8 11:18:33 2019 error -15 reading relation 202756706 Tue Oct 8 11:18:33 2019 error -11 reading relation 202756793 Tue Oct 8 11:18:33 2019 error -1 reading relation 202756823 Tue Oct 8 11:18:33 2019 error -1 reading relation 202757085 Tue Oct 8 11:18:33 2019 error -11 reading relation 202757148 Tue Oct 8 11:18:33 2019 error -1 reading relation 202757412 Tue Oct 8 11:18:33 2019 error -11 reading relation 202757587 Tue Oct 8 11:18:33 2019 error -11 reading relation 202757656 Tue Oct 8 11:18:33 2019 error -1 reading relation 202757718 Tue Oct 8 11:18:33 2019 error -1 reading relation 202757791 Tue Oct 8 11:18:33 2019 error -11 reading relation 202757903 Tue Oct 8 11:18:33 2019 error -11 reading relation 202757949 Tue Oct 8 11:18:33 2019 error -11 reading relation 202758064 Tue Oct 8 11:18:33 2019 error -11 reading relation 202758231 Tue Oct 8 11:18:33 2019 error -11 reading relation 202758588 Tue Oct 8 11:18:33 2019 error -15 reading relation 202758763 Tue Oct 8 11:18:33 2019 error -11 reading relation 202758876 Tue Oct 8 11:18:33 2019 error -11 reading relation 202758926 Tue Oct 8 11:18:33 2019 error -11 reading relation 202758990 Tue Oct 8 11:18:33 2019 error -11 reading relation 202759552 Tue Oct 8 11:18:33 2019 error -15 reading relation 202759662 Tue Oct 8 11:18:33 2019 error -11 reading relation 202759862 Tue Oct 8 11:18:33 2019 error -6 reading relation 202759992 Tue Oct 8 11:18:33 2019 error -15 reading relation 202760244 Tue Oct 8 11:18:34 2019 error -11 reading relation 202760898 Tue Oct 8 11:18:34 2019 error -15 reading relation 202761333 Tue Oct 8 11:18:34 2019 error -1 reading relation 202761398 Tue Oct 8 11:19:16 2019 skipped 180 relations with b > 2^32 Tue Oct 8 11:19:16 2019 skipped 25 relations with composite factors Tue Oct 8 11:19:16 2019 found 9626615 hash collisions in 209856355 relations Tue Oct 8 11:19:27 2019 added 1218977 free relations Tue Oct 8 11:19:27 2019 commencing duplicate removal, pass 2 Tue Oct 8 11:20:14 2019 found 0 duplicates and 211075332 unique relations Tue Oct 8 11:20:14 2019 memory use: 522.4 MB Tue Oct 8 11:20:14 2019 reading ideals above 133890048 Tue Oct 8 11:20:14 2019 commencing singleton removal, initial pass Tue Oct 8 11:35:55 2019 memory use: 5512.0 MB Tue Oct 8 11:35:56 2019 reading all ideals from disk Tue Oct 8 11:37:35 2019 memory use: 4154.1 MB Tue Oct 8 11:37:44 2019 commencing in-memory singleton removal Tue Oct 8 11:37:51 2019 begin with 211075332 relations and 168948520 unique ideals Tue Oct 8 11:39:32 2019 reduce to 152500459 relations and 105469555 ideals in 13 passes Tue Oct 8 11:39:32 2019 max relations containing the same ideal: 47 Tue Oct 8 11:39:50 2019 reading ideals above 720000 Tue Oct 8 11:39:51 2019 commencing singleton removal, initial pass Tue Oct 8 11:55:20 2019 memory use: 3012.0 MB Tue Oct 8 11:55:20 2019 reading all ideals from disk Tue Oct 8 11:57:46 2019 memory use: 6100.4 MB Tue Oct 8 11:57:59 2019 keeping 119867698 ideals with weight <= 200, target excess is 776829 Tue Oct 8 11:58:13 2019 commencing in-memory singleton removal Tue Oct 8 11:58:23 2019 begin with 152500459 relations and 119867698 unique ideals Tue Oct 8 11:59:08 2019 reduce to 152500430 relations and 119867669 ideals in 4 passes Tue Oct 8 11:59:08 2019 max relations containing the same ideal: 200 Tue Oct 8 12:00:03 2019 removing 10236680 relations and 8236680 ideals in 2000000 cliques Tue Oct 8 12:00:06 2019 commencing in-memory singleton removal Tue Oct 8 12:00:16 2019 begin with 142263750 relations and 119867669 unique ideals Tue Oct 8 12:01:30 2019 reduce to 141704158 relations and 111061837 ideals in 7 passes Tue Oct 8 12:01:30 2019 max relations containing the same ideal: 198 Tue Oct 8 12:02:20 2019 removing 7863136 relations and 5863136 ideals in 2000000 cliques Tue Oct 8 12:02:23 2019 commencing in-memory singleton removal Tue Oct 8 12:02:32 2019 begin with 133841022 relations and 111061837 unique ideals Tue Oct 8 12:03:42 2019 reduce to 133474921 relations and 104826977 ideals in 7 passes Tue Oct 8 12:03:42 2019 max relations containing the same ideal: 192 Tue Oct 8 12:04:29 2019 removing 7152632 relations and 5152632 ideals in 2000000 cliques Tue Oct 8 12:04:32 2019 commencing in-memory singleton removal Tue Oct 8 12:04:40 2019 begin with 126322289 relations and 104826977 unique ideals Tue Oct 8 12:05:46 2019 reduce to 126005879 relations and 99353240 ideals in 7 passes Tue Oct 8 12:05:46 2019 max relations containing the same ideal: 187 Tue Oct 8 12:06:31 2019 removing 6785462 relations and 4785462 ideals in 2000000 cliques Tue Oct 8 12:06:33 2019 commencing in-memory singleton removal Tue Oct 8 12:06:41 2019 begin with 119220417 relations and 99353240 unique ideals Tue Oct 8 12:07:43 2019 reduce to 118928705 relations and 94271634 ideals in 7 passes Tue Oct 8 12:07:43 2019 max relations containing the same ideal: 181 Tue Oct 8 12:08:25 2019 removing 6547180 relations and 4547180 ideals in 2000000 cliques Tue Oct 8 12:08:28 2019 commencing in-memory singleton removal Tue Oct 8 12:08:36 2019 begin with 112381525 relations and 94271634 unique ideals Tue Oct 8 12:09:25 2019 reduce to 112104084 relations and 89442587 ideals in 6 passes Tue Oct 8 12:09:25 2019 max relations containing the same ideal: 174 Tue Oct 8 12:10:06 2019 removing 6380451 relations and 4380451 ideals in 2000000 cliques Tue Oct 8 12:10:08 2019 commencing in-memory singleton removal Tue Oct 8 12:10:15 2019 begin with 105723633 relations and 89442587 unique ideals Tue Oct 8 12:11:09 2019 reduce to 105453235 relations and 84787201 ideals in 7 passes Tue Oct 8 12:11:09 2019 max relations containing the same ideal: 169 Tue Oct 8 12:11:47 2019 removing 6259048 relations and 4259048 ideals in 2000000 cliques Tue Oct 8 12:11:50 2019 commencing in-memory singleton removal Tue Oct 8 12:11:56 2019 begin with 99194187 relations and 84787201 unique ideals Tue Oct 8 12:12:46 2019 reduce to 98924974 relations and 80254443 ideals in 7 passes Tue Oct 8 12:12:46 2019 max relations containing the same ideal: 161 Tue Oct 8 12:13:23 2019 removing 6160589 relations and 4160589 ideals in 2000000 cliques Tue Oct 8 12:13:25 2019 commencing in-memory singleton removal Tue Oct 8 12:13:31 2019 begin with 92764385 relations and 80254443 unique ideals Tue Oct 8 12:14:18 2019 reduce to 92494960 relations and 75819677 ideals in 7 passes Tue Oct 8 12:14:18 2019 max relations containing the same ideal: 155 Tue Oct 8 12:14:52 2019 removing 6089220 relations and 4089220 ideals in 2000000 cliques Tue Oct 8 12:14:54 2019 commencing in-memory singleton removal Tue Oct 8 12:14:59 2019 begin with 86405740 relations and 75819677 unique ideals Tue Oct 8 12:15:37 2019 reduce to 86132974 relations and 71452353 ideals in 6 passes Tue Oct 8 12:15:37 2019 max relations containing the same ideal: 150 Tue Oct 8 12:16:08 2019 removing 6033532 relations and 4033532 ideals in 2000000 cliques Tue Oct 8 12:16:10 2019 commencing in-memory singleton removal Tue Oct 8 12:16:15 2019 begin with 80099442 relations and 71452353 unique ideals Tue Oct 8 12:16:50 2019 reduce to 79818089 relations and 67131640 ideals in 6 passes Tue Oct 8 12:16:50 2019 max relations containing the same ideal: 141 Tue Oct 8 12:17:19 2019 removing 5986164 relations and 3986164 ideals in 2000000 cliques Tue Oct 8 12:17:21 2019 commencing in-memory singleton removal Tue Oct 8 12:17:26 2019 begin with 73831925 relations and 67131640 unique ideals Tue Oct 8 12:18:02 2019 reduce to 73536045 relations and 62843127 ideals in 7 passes Tue Oct 8 12:18:02 2019 max relations containing the same ideal: 132 Tue Oct 8 12:18:29 2019 removing 5956342 relations and 3956342 ideals in 2000000 cliques Tue Oct 8 12:18:31 2019 commencing in-memory singleton removal Tue Oct 8 12:18:35 2019 begin with 67579703 relations and 62843127 unique ideals Tue Oct 8 12:19:04 2019 reduce to 67264247 relations and 58563953 ideals in 6 passes Tue Oct 8 12:19:04 2019 max relations containing the same ideal: 126 Tue Oct 8 12:19:29 2019 removing 5947900 relations and 3947900 ideals in 2000000 cliques Tue Oct 8 12:19:31 2019 commencing in-memory singleton removal Tue Oct 8 12:19:35 2019 begin with 61316347 relations and 58563953 unique ideals Tue Oct 8 12:20:00 2019 reduce to 60973485 relations and 54264332 ideals in 6 passes Tue Oct 8 12:20:00 2019 max relations containing the same ideal: 118 Tue Oct 8 12:20:23 2019 removing 5949591 relations and 3949591 ideals in 2000000 cliques Tue Oct 8 12:20:25 2019 commencing in-memory singleton removal Tue Oct 8 12:20:28 2019 begin with 55023894 relations and 54264332 unique ideals Tue Oct 8 12:20:51 2019 reduce to 54638750 relations and 49918785 ideals in 6 passes Tue Oct 8 12:20:51 2019 max relations containing the same ideal: 110 Tue Oct 8 12:21:12 2019 removing 5985451 relations and 3985451 ideals in 2000000 cliques Tue Oct 8 12:21:13 2019 commencing in-memory singleton removal Tue Oct 8 12:21:16 2019 begin with 48653299 relations and 49918785 unique ideals Tue Oct 8 12:21:39 2019 reduce to 48205536 relations and 45471707 ideals in 7 passes Tue Oct 8 12:21:39 2019 max relations containing the same ideal: 102 Tue Oct 8 12:21:57 2019 removing 5640578 relations and 3807871 ideals in 1832707 cliques Tue Oct 8 12:21:59 2019 commencing in-memory singleton removal Tue Oct 8 12:22:02 2019 begin with 42564958 relations and 45471707 unique ideals Tue Oct 8 12:22:22 2019 reduce to 42087766 relations and 41171007 ideals in 7 passes Tue Oct 8 12:22:22 2019 max relations containing the same ideal: 90 Tue Oct 8 12:22:38 2019 removing 101102 relations and 85465 ideals in 15637 cliques Tue Oct 8 12:22:39 2019 commencing in-memory singleton removal Tue Oct 8 12:22:41 2019 begin with 41986664 relations and 41171007 unique ideals Tue Oct 8 12:22:52 2019 reduce to 41986485 relations and 41085363 ideals in 4 passes Tue Oct 8 12:22:52 2019 max relations containing the same ideal: 90 Tue Oct 8 12:22:58 2019 relations with 0 large ideals: 29159 Tue Oct 8 12:22:58 2019 relations with 1 large ideals: 13318 Tue Oct 8 12:22:58 2019 relations with 2 large ideals: 168386 Tue Oct 8 12:22:58 2019 relations with 3 large ideals: 1096372 Tue Oct 8 12:22:58 2019 relations with 4 large ideals: 3884210 Tue Oct 8 12:22:58 2019 relations with 5 large ideals: 8266185 Tue Oct 8 12:22:58 2019 relations with 6 large ideals: 11090649 Tue Oct 8 12:22:58 2019 relations with 7+ large ideals: 17438206 Tue Oct 8 12:22:58 2019 commencing 2-way merge Tue Oct 8 12:23:20 2019 reduce to 29157773 relation sets and 28256651 unique ideals Tue Oct 8 12:23:20 2019 commencing full merge Tue Oct 8 12:41:10 2019 memory use: 1308.7 MB Tue Oct 8 12:41:10 2019 found 84277 cycles, need 6218029 Tue Oct 8 12:41:10 2019 too few cycles, matrix probably cannot build Tue Oct 8 13:35:14 2019 Tue Oct 8 13:35:14 2019 Tue Oct 8 13:35:16 2019 Msieve v. 1.53 (SVN 988M) Tue Oct 8 13:35:16 2019 random seeds: ad313195 cc0a974a Tue Oct 8 13:35:16 2019 factoring 207758503684948261736152815624460979627854259163244094092066974429418683019840059300549020174655158678115244331428435603321347707186591050070183591018485193526647644507601279495969656820823169 (192 digits) Tue Oct 8 13:35:17 2019 searching for 15-digit factors Tue Oct 8 13:35:18 2019 commencing number field sieve (192-digit input) Tue Oct 8 13:35:18 2019 R0: 1224809639974238708818962962512535510581248 Tue Oct 8 13:35:18 2019 R1: -41144777789250865278081232758997200423491 Tue Oct 8 13:35:18 2019 A0: 12 Tue Oct 8 13:35:18 2019 A1: 0 Tue Oct 8 13:35:18 2019 A2: 0 Tue Oct 8 13:35:18 2019 A3: 0 Tue Oct 8 13:35:18 2019 A4: 0 Tue Oct 8 13:35:18 2019 A5: 0 Tue Oct 8 13:35:18 2019 A6: 11 Tue Oct 8 13:35:18 2019 skew 1.01, size 1.589e-12, alpha 0.567, combined = 1.653e-13 rroots = 0 Tue Oct 8 13:35:18 2019 Tue Oct 8 13:35:18 2019 commencing relation filtering Tue Oct 8 13:35:18 2019 setting target matrix density to 120.0 Tue Oct 8 13:35:18 2019 estimated available RAM is 32768.0 MB Tue Oct 8 13:35:18 2019 commencing duplicate removal, pass 1 Tue Oct 8 13:41:48 2019 error -5 reading relation 66752228 Tue Oct 8 13:47:16 2019 error -15 reading relation 122296816 Tue Oct 8 13:48:28 2019 error -15 reading relation 134374659 Tue Oct 8 13:52:26 2019 error -15 reading relation 174182549 Tue Oct 8 13:55:21 2019 error -11 reading relation 202751036 Tue Oct 8 13:55:21 2019 error -11 reading relation 202751202 Tue Oct 8 13:55:21 2019 error -15 reading relation 202751586 Tue Oct 8 13:55:21 2019 error -15 reading relation 202751609 Tue Oct 8 13:55:21 2019 error -15 reading relation 202751630 Tue Oct 8 13:55:21 2019 error -11 reading relation 202752176 Tue Oct 8 13:55:21 2019 error -11 reading relation 202752836 Tue Oct 8 13:55:21 2019 error -1 reading relation 202752899 Tue Oct 8 13:55:21 2019 error -11 reading relation 202752938 Tue Oct 8 13:55:21 2019 error -1 reading relation 202753042 Tue Oct 8 13:55:21 2019 error -1 reading relation 202753699 Tue Oct 8 13:55:21 2019 error -11 reading relation 202753860 Tue Oct 8 13:55:21 2019 error -11 reading relation 202754012 Tue Oct 8 13:55:21 2019 error -11 reading relation 202754366 Tue Oct 8 13:55:21 2019 error -11 reading relation 202754526 Tue Oct 8 13:55:21 2019 error -11 reading relation 202754585 Tue Oct 8 13:55:21 2019 error -15 reading relation 202754801 Tue Oct 8 13:55:21 2019 error -15 reading relation 202755225 Tue Oct 8 13:55:21 2019 error -11 reading relation 202755554 Tue Oct 8 13:55:21 2019 error -11 reading relation 202755747 Tue Oct 8 13:55:21 2019 error -15 reading relation 202756480 Tue Oct 8 13:55:21 2019 error -15 reading relation 202756504 Tue Oct 8 13:55:21 2019 error -15 reading relation 202756657 Tue Oct 8 13:55:21 2019 error -15 reading relation 202756706 Tue Oct 8 13:55:21 2019 error -11 reading relation 202756793 Tue Oct 8 13:55:21 2019 error -1 reading relation 202756823 Tue Oct 8 13:55:21 2019 error -1 reading relation 202757085 Tue Oct 8 13:55:21 2019 error -11 reading relation 202757148 Tue Oct 8 13:55:21 2019 error -1 reading relation 202757412 Tue Oct 8 13:55:21 2019 error -11 reading relation 202757587 Tue Oct 8 13:55:21 2019 error -11 reading relation 202757656 Tue Oct 8 13:55:21 2019 error -1 reading relation 202757718 Tue Oct 8 13:55:21 2019 error -1 reading relation 202757791 Tue Oct 8 13:55:21 2019 error -11 reading relation 202757903 Tue Oct 8 13:55:21 2019 error -11 reading relation 202757949 Tue Oct 8 13:55:21 2019 error -11 reading relation 202758064 Tue Oct 8 13:55:21 2019 error -11 reading relation 202758231 Tue Oct 8 13:55:21 2019 error -11 reading relation 202758588 Tue Oct 8 13:55:21 2019 error -15 reading relation 202758763 Tue Oct 8 13:55:21 2019 error -11 reading relation 202758876 Tue Oct 8 13:55:21 2019 error -11 reading relation 202758926 Tue Oct 8 13:55:21 2019 error -11 reading relation 202758990 Tue Oct 8 13:55:21 2019 error -11 reading relation 202759552 Tue Oct 8 13:55:21 2019 error -15 reading relation 202759662 Tue Oct 8 13:55:21 2019 error -11 reading relation 202759862 Tue Oct 8 13:55:21 2019 error -6 reading relation 202759992 Tue Oct 8 13:55:21 2019 error -15 reading relation 202760244 Tue Oct 8 13:55:21 2019 error -11 reading relation 202760898 Tue Oct 8 13:55:21 2019 error -15 reading relation 202761333 Tue Oct 8 13:55:21 2019 error -1 reading relation 202761398 Tue Oct 8 13:56:17 2019 skipped 180 relations with b > 2^32 Tue Oct 8 13:56:17 2019 skipped 25 relations with composite factors Tue Oct 8 13:56:17 2019 found 9734973 hash collisions in 211075332 relations Tue Oct 8 13:56:26 2019 commencing duplicate removal, pass 2 Tue Oct 8 13:58:37 2019 found 0 duplicates and 211075332 unique relations Tue Oct 8 13:58:37 2019 memory use: 522.4 MB Tue Oct 8 13:58:37 2019 reading ideals above 133890048 Tue Oct 8 13:58:37 2019 commencing singleton removal, initial pass Tue Oct 8 14:15:42 2019 memory use: 5512.0 MB Tue Oct 8 14:15:43 2019 reading all ideals from disk Tue Oct 8 14:17:21 2019 memory use: 4154.1 MB Tue Oct 8 14:17:29 2019 commencing in-memory singleton removal Tue Oct 8 14:17:38 2019 begin with 211075332 relations and 168948520 unique ideals Tue Oct 8 14:19:22 2019 reduce to 152500459 relations and 105469555 ideals in 13 passes Tue Oct 8 14:19:23 2019 max relations containing the same ideal: 47 Tue Oct 8 14:19:41 2019 reading ideals above 720000 Tue Oct 8 14:19:42 2019 commencing singleton removal, initial pass Tue Oct 8 14:35:49 2019 memory use: 3012.0 MB Tue Oct 8 14:35:50 2019 reading all ideals from disk Tue Oct 8 14:38:13 2019 memory use: 6100.4 MB Tue Oct 8 14:38:27 2019 keeping 119867698 ideals with weight <= 200, target excess is 776829 Tue Oct 8 14:38:42 2019 commencing in-memory singleton removal Tue Oct 8 14:38:54 2019 begin with 152500459 relations and 119867698 unique ideals Tue Oct 8 14:39:44 2019 reduce to 152500430 relations and 119867669 ideals in 4 passes Tue Oct 8 14:39:44 2019 max relations containing the same ideal: 200 Tue Oct 8 14:40:43 2019 removing 10236680 relations and 8236680 ideals in 2000000 cliques Tue Oct 8 14:40:47 2019 commencing in-memory singleton removal Tue Oct 8 14:40:58 2019 begin with 142263750 relations and 119867669 unique ideals Tue Oct 8 14:42:19 2019 reduce to 141704158 relations and 111061837 ideals in 7 passes Tue Oct 8 14:42:19 2019 max relations containing the same ideal: 198 Tue Oct 8 14:43:15 2019 removing 7863136 relations and 5863136 ideals in 2000000 cliques Tue Oct 8 14:43:19 2019 commencing in-memory singleton removal Tue Oct 8 14:43:28 2019 begin with 133841022 relations and 111061837 unique ideals Tue Oct 8 14:44:45 2019 reduce to 133474921 relations and 104826977 ideals in 7 passes Tue Oct 8 14:44:45 2019 max relations containing the same ideal: 192 Tue Oct 8 14:45:38 2019 removing 7152632 relations and 5152632 ideals in 2000000 cliques Tue Oct 8 14:45:41 2019 commencing in-memory singleton removal Tue Oct 8 14:45:51 2019 begin with 126322289 relations and 104826977 unique ideals Tue Oct 8 14:47:02 2019 reduce to 126005879 relations and 99353240 ideals in 7 passes Tue Oct 8 14:47:02 2019 max relations containing the same ideal: 187 Tue Oct 8 14:47:53 2019 removing 6785462 relations and 4785462 ideals in 2000000 cliques Tue Oct 8 14:47:56 2019 commencing in-memory singleton removal Tue Oct 8 14:48:04 2019 begin with 119220417 relations and 99353240 unique ideals Tue Oct 8 14:49:12 2019 reduce to 118928705 relations and 94271634 ideals in 7 passes Tue Oct 8 14:49:12 2019 max relations containing the same ideal: 181 Tue Oct 8 14:50:00 2019 removing 6547180 relations and 4547180 ideals in 2000000 cliques Tue Oct 8 14:50:03 2019 commencing in-memory singleton removal Tue Oct 8 14:50:11 2019 begin with 112381525 relations and 94271634 unique ideals Tue Oct 8 14:51:05 2019 reduce to 112104084 relations and 89442587 ideals in 6 passes Tue Oct 8 14:51:05 2019 max relations containing the same ideal: 174 Tue Oct 8 14:51:51 2019 removing 6380451 relations and 4380451 ideals in 2000000 cliques Tue Oct 8 14:51:53 2019 commencing in-memory singleton removal Tue Oct 8 14:52:01 2019 begin with 105723633 relations and 89442587 unique ideals Tue Oct 8 14:53:01 2019 reduce to 105453235 relations and 84787201 ideals in 7 passes Tue Oct 8 14:53:01 2019 max relations containing the same ideal: 169 Tue Oct 8 14:53:43 2019 removing 6259048 relations and 4259048 ideals in 2000000 cliques Tue Oct 8 14:53:47 2019 commencing in-memory singleton removal Tue Oct 8 14:53:53 2019 begin with 99194187 relations and 84787201 unique ideals Tue Oct 8 14:54:49 2019 reduce to 98924974 relations and 80254443 ideals in 7 passes Tue Oct 8 14:54:51 2019 max relations containing the same ideal: 161 Tue Oct 8 14:55:32 2019 removing 6160589 relations and 4160589 ideals in 2000000 cliques Tue Oct 8 14:55:35 2019 commencing in-memory singleton removal Tue Oct 8 14:55:41 2019 begin with 92764385 relations and 80254443 unique ideals Tue Oct 8 14:56:33 2019 reduce to 92494960 relations and 75819677 ideals in 7 passes Tue Oct 8 14:56:33 2019 max relations containing the same ideal: 155 Tue Oct 8 14:57:11 2019 removing 6089220 relations and 4089220 ideals in 2000000 cliques Tue Oct 8 14:57:14 2019 commencing in-memory singleton removal Tue Oct 8 14:57:20 2019 begin with 86405740 relations and 75819677 unique ideals Tue Oct 8 14:58:01 2019 reduce to 86132974 relations and 71452353 ideals in 6 passes Tue Oct 8 14:58:01 2019 max relations containing the same ideal: 150 Tue Oct 8 14:58:36 2019 removing 6033532 relations and 4033532 ideals in 2000000 cliques Tue Oct 8 14:58:39 2019 commencing in-memory singleton removal Tue Oct 8 14:58:44 2019 begin with 80099442 relations and 71452353 unique ideals Tue Oct 8 14:59:22 2019 reduce to 79818089 relations and 67131640 ideals in 6 passes Tue Oct 8 14:59:22 2019 max relations containing the same ideal: 141 Tue Oct 8 14:59:55 2019 removing 5986164 relations and 3986164 ideals in 2000000 cliques Tue Oct 8 14:59:57 2019 commencing in-memory singleton removal Tue Oct 8 15:00:02 2019 begin with 73831925 relations and 67131640 unique ideals Tue Oct 8 15:00:42 2019 reduce to 73536045 relations and 62843127 ideals in 7 passes Tue Oct 8 15:00:42 2019 max relations containing the same ideal: 132 Tue Oct 8 15:01:13 2019 removing 5956342 relations and 3956342 ideals in 2000000 cliques Tue Oct 8 15:01:15 2019 commencing in-memory singleton removal Tue Oct 8 15:01:20 2019 begin with 67579703 relations and 62843127 unique ideals Tue Oct 8 15:01:51 2019 reduce to 67264247 relations and 58563953 ideals in 6 passes Tue Oct 8 15:01:51 2019 max relations containing the same ideal: 126 Tue Oct 8 15:02:20 2019 removing 5947900 relations and 3947900 ideals in 2000000 cliques Tue Oct 8 15:02:22 2019 commencing in-memory singleton removal Tue Oct 8 15:02:26 2019 begin with 61316347 relations and 58563953 unique ideals Tue Oct 8 15:02:54 2019 reduce to 60973485 relations and 54264332 ideals in 6 passes Tue Oct 8 15:02:54 2019 max relations containing the same ideal: 118 Tue Oct 8 15:03:20 2019 removing 5949591 relations and 3949591 ideals in 2000000 cliques Tue Oct 8 15:03:22 2019 commencing in-memory singleton removal Tue Oct 8 15:03:26 2019 begin with 55023894 relations and 54264332 unique ideals Tue Oct 8 15:03:51 2019 reduce to 54638750 relations and 49918785 ideals in 6 passes Tue Oct 8 15:03:51 2019 max relations containing the same ideal: 110 Tue Oct 8 15:04:14 2019 removing 5985451 relations and 3985451 ideals in 2000000 cliques Tue Oct 8 15:04:16 2019 commencing in-memory singleton removal Tue Oct 8 15:04:19 2019 begin with 48653299 relations and 49918785 unique ideals Tue Oct 8 15:04:44 2019 reduce to 48205536 relations and 45471707 ideals in 7 passes Tue Oct 8 15:04:44 2019 max relations containing the same ideal: 102 Tue Oct 8 15:05:05 2019 removing 5640578 relations and 3807871 ideals in 1832707 cliques Tue Oct 8 15:05:07 2019 commencing in-memory singleton removal Tue Oct 8 15:05:10 2019 begin with 42564958 relations and 45471707 unique ideals Tue Oct 8 15:05:31 2019 reduce to 42087766 relations and 41171007 ideals in 7 passes Tue Oct 8 15:05:31 2019 max relations containing the same ideal: 90 Tue Oct 8 15:05:49 2019 removing 101102 relations and 85465 ideals in 15637 cliques Tue Oct 8 15:05:50 2019 commencing in-memory singleton removal Tue Oct 8 15:05:53 2019 begin with 41986664 relations and 41171007 unique ideals Tue Oct 8 15:06:05 2019 reduce to 41986485 relations and 41085363 ideals in 4 passes Tue Oct 8 15:06:05 2019 max relations containing the same ideal: 90 Tue Oct 8 15:06:11 2019 relations with 0 large ideals: 29159 Tue Oct 8 15:06:11 2019 relations with 1 large ideals: 13318 Tue Oct 8 15:06:11 2019 relations with 2 large ideals: 168386 Tue Oct 8 15:06:11 2019 relations with 3 large ideals: 1096372 Tue Oct 8 15:06:11 2019 relations with 4 large ideals: 3884210 Tue Oct 8 15:06:11 2019 relations with 5 large ideals: 8266185 Tue Oct 8 15:06:11 2019 relations with 6 large ideals: 11090649 Tue Oct 8 15:06:11 2019 relations with 7+ large ideals: 17438206 Tue Oct 8 15:06:11 2019 commencing 2-way merge Tue Oct 8 15:06:36 2019 reduce to 29157773 relation sets and 28256651 unique ideals Tue Oct 8 15:06:36 2019 commencing full merge Tue Oct 8 15:17:06 2019 memory use: 3553.2 MB Tue Oct 8 15:17:13 2019 found 12932029 cycles, need 12884851 Tue Oct 8 15:17:14 2019 weight of 12884851 cycles is about 1546882300 (120.05/cycle) Tue Oct 8 15:17:14 2019 distribution of cycle lengths: Tue Oct 8 15:17:14 2019 1 relations: 454558 Tue Oct 8 15:17:14 2019 2 relations: 716739 Tue Oct 8 15:17:14 2019 3 relations: 889918 Tue Oct 8 15:17:14 2019 4 relations: 956824 Tue Oct 8 15:17:14 2019 5 relations: 1007888 Tue Oct 8 15:17:14 2019 6 relations: 1011045 Tue Oct 8 15:17:14 2019 7 relations: 996844 Tue Oct 8 15:17:14 2019 8 relations: 947478 Tue Oct 8 15:17:14 2019 9 relations: 882602 Tue Oct 8 15:17:14 2019 10+ relations: 5020955 Tue Oct 8 15:17:14 2019 heaviest cycle: 28 relations Tue Oct 8 15:17:19 2019 commencing cycle optimization Tue Oct 8 15:17:50 2019 start with 113059949 relations Tue Oct 8 15:22:36 2019 pruned 5753964 relations Tue Oct 8 15:22:37 2019 memory use: 2913.7 MB Tue Oct 8 15:22:37 2019 distribution of cycle lengths: Tue Oct 8 15:22:37 2019 1 relations: 454558 Tue Oct 8 15:22:37 2019 2 relations: 736926 Tue Oct 8 15:22:37 2019 3 relations: 931738 Tue Oct 8 15:22:37 2019 4 relations: 1003731 Tue Oct 8 15:22:37 2019 5 relations: 1067019 Tue Oct 8 15:22:37 2019 6 relations: 1070258 Tue Oct 8 15:22:37 2019 7 relations: 1056429 Tue Oct 8 15:22:37 2019 8 relations: 999101 Tue Oct 8 15:22:37 2019 9 relations: 927021 Tue Oct 8 15:22:37 2019 10+ relations: 4638070 Tue Oct 8 15:22:37 2019 heaviest cycle: 28 relations Tue Oct 8 15:23:15 2019 RelProcTime: 6477 Tue Oct 8 15:23:15 2019 Tue Oct 8 15:23:15 2019 commencing linear algebra Tue Oct 8 15:23:18 2019 read 12884851 cycles Tue Oct 8 15:23:46 2019 cycles contain 41549606 unique relations Tue Oct 8 15:32:33 2019 read 41549606 relations Tue Oct 8 15:33:59 2019 using 20 quadratic characters above 4294917295 Tue Oct 8 15:36:25 2019 building initial matrix Tue Oct 8 15:44:05 2019 memory use: 5389.7 MB Tue Oct 8 15:46:34 2019 read 12884851 cycles Tue Oct 8 15:46:36 2019 matrix is 12884674 x 12884851 (6007.8 MB) with weight 1733741458 (134.56/col) Tue Oct 8 15:46:36 2019 sparse part has weight 1433170272 (111.23/col) Tue Oct 8 15:48:49 2019 filtering completed in 2 passes Tue Oct 8 15:48:51 2019 matrix is 12884470 x 12884647 (6007.8 MB) with weight 1733734255 (134.56/col) Tue Oct 8 15:48:51 2019 sparse part has weight 1433167921 (111.23/col) Tue Oct 8 15:51:43 2019 matrix starts at (0, 0) Tue Oct 8 15:51:44 2019 matrix is 12884470 x 12884647 (6007.8 MB) with weight 1733734255 (134.56/col) Tue Oct 8 15:51:44 2019 sparse part has weight 1433167921 (111.23/col) Tue Oct 8 15:51:44 2019 saving the first 48 matrix rows for later Tue Oct 8 15:51:46 2019 matrix includes 64 packed rows Tue Oct 8 15:51:47 2019 matrix is 12884422 x 12884647 (5765.7 MB) with weight 1486351801 (115.36/col) Tue Oct 8 15:51:47 2019 sparse part has weight 1382594447 (107.31/col) Tue Oct 8 15:51:47 2019 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Tue Oct 8 15:52:52 2019 commencing Lanczos iteration (14 threads) Tue Oct 8 15:52:52 2019 memory use: 4902.4 MB Tue Oct 8 15:53:09 2019 linear algebra at 0.0%, ETA 37h43m Tue Oct 8 15:53:14 2019 checkpointing every 350000 dimensions Thu Oct 10 04:55:10 2019 lanczos halted after 203761 iterations (dim = 12884421) Thu Oct 10 04:55:21 2019 recovered 41 nontrivial dependencies Thu Oct 10 04:55:27 2019 BLanczosTime: 135132 Thu Oct 10 04:55:27 2019 Thu Oct 10 04:55:27 2019 commencing square root phase Thu Oct 10 04:55:27 2019 handling dependencies 1 to 64 Thu Oct 10 04:55:27 2019 reading relations for dependency 1 Thu Oct 10 04:55:38 2019 read 6441417 cycles Thu Oct 10 04:55:51 2019 cycles contain 20777076 unique relations Thu Oct 10 05:04:46 2019 read 20777076 relations Thu Oct 10 05:06:10 2019 multiplying 20777076 relations Thu Oct 10 05:18:52 2019 multiply complete, coefficients have about 598.21 million bits Thu Oct 10 05:18:56 2019 initial square root is modulo 232819 Thu Oct 10 05:31:45 2019 GCD is N, no factor found Thu Oct 10 05:31:47 2019 reading relations for dependency 2 Thu Oct 10 05:32:02 2019 read 6441510 cycles Thu Oct 10 05:32:14 2019 cycles contain 20772406 unique relations Thu Oct 10 05:41:10 2019 read 20772406 relations Thu Oct 10 05:42:34 2019 multiplying 20772406 relations Thu Oct 10 05:55:33 2019 multiply complete, coefficients have about 598.08 million bits Thu Oct 10 05:55:36 2019 initial square root is modulo 232333 Thu Oct 10 06:08:30 2019 GCD is N, no factor found Thu Oct 10 06:08:31 2019 reading relations for dependency 3 Thu Oct 10 06:08:46 2019 read 6441135 cycles Thu Oct 10 06:08:59 2019 cycles contain 20769622 unique relations Thu Oct 10 06:17:55 2019 read 20769622 relations Thu Oct 10 06:19:22 2019 multiplying 20769622 relations Thu Oct 10 06:32:22 2019 multiply complete, coefficients have about 598.00 million bits Thu Oct 10 06:32:25 2019 initial square root is modulo 231859 Thu Oct 10 06:45:27 2019 sqrtTime: 6600 Thu Oct 10 06:45:28 2019 p90 factor: 527319287801386637111815779104012748330879918568428556345641784967344991243118837480670391 Thu Oct 10 06:45:29 2019 p102 factor: 393989957301163488068558959610408822863797003421887082925785552135924029245827045773593813055130241159 Thu Oct 10 06:45:29 2019 elapsed time 41:10:13