Thu Jul 16 11:18:04 2020 Thu Jul 16 11:18:04 2020 Thu Jul 16 11:18:04 2020 Msieve v. 1.53 (SVN 988M) Thu Jul 16 11:18:04 2020 random seeds: 2c170817 f752a3a4 Thu Jul 16 11:18:04 2020 factoring 38081015522918383376253397460772582938803519199934573540390929843144131484378074353843017534220846260021252162251390101942607890658061058972409104491901559162960880571065692990770443821 (185 digits) Thu Jul 16 11:18:05 2020 searching for 15-digit factors Thu Jul 16 11:18:06 2020 commencing number field sieve (185-digit input) Thu Jul 16 11:18:06 2020 R0: -199859373044211703930981441101683237507005189894478628761 Thu Jul 16 11:18:06 2020 R1: 8746285356762320018965178758523815086598688705561493504 Thu Jul 16 11:18:06 2020 A0: -1 Thu Jul 16 11:18:06 2020 A1: -6 Thu Jul 16 11:18:06 2020 A2: -6 Thu Jul 16 11:18:06 2020 A3: 4 Thu Jul 16 11:18:06 2020 A4: 4 Thu Jul 16 11:18:06 2020 skew 0.71, size 6.203e-23, alpha 1.793, combined = 1.081e-13 rroots = 4 Thu Jul 16 11:18:06 2020 Thu Jul 16 11:18:06 2020 commencing relation filtering Thu Jul 16 11:18:06 2020 setting target matrix density to 120.0 Thu Jul 16 11:18:06 2020 estimated available RAM is 32768.0 MB Thu Jul 16 11:18:06 2020 commencing duplicate removal, pass 1 Thu Jul 16 11:19:25 2020 error -1 reading relation 12116532 Thu Jul 16 11:19:25 2020 error -1 reading relation 12116533 Thu Jul 16 11:19:25 2020 error -1 reading relation 12116534 Thu Jul 16 11:20:00 2020 error -1 reading relation 17652178 Thu Jul 16 11:20:32 2020 error -1 reading relation 22886719 Thu Jul 16 11:20:33 2020 error -1 reading relation 23028508 Thu Jul 16 11:20:33 2020 error -1 reading relation 23028509 Thu Jul 16 11:20:33 2020 error -1 reading relation 23028510 Thu Jul 16 11:20:33 2020 error -1 reading relation 23028511 Thu Jul 16 11:20:33 2020 error -1 reading relation 23028512 Thu Jul 16 11:21:26 2020 error -11 reading relation 31702510 Thu Jul 16 11:23:15 2020 error -15 reading relation 50119334 Thu Jul 16 11:23:26 2020 error -15 reading relation 51894345 Thu Jul 16 11:23:40 2020 error -1 reading relation 54290813 Thu Jul 16 11:23:40 2020 error -1 reading relation 54290814 Thu Jul 16 11:25:14 2020 error -1 reading relation 70405134 Thu Jul 16 11:25:14 2020 error -1 reading relation 70405135 Thu Jul 16 11:28:04 2020 error -1 reading relation 99830494 Thu Jul 16 11:28:04 2020 error -1 reading relation 99830495 Thu Jul 16 11:31:27 2020 error -1 reading relation 135029771 Thu Jul 16 11:36:36 2020 error -1 reading relation 187913620 Thu Jul 16 11:36:36 2020 error -1 reading relation 187913621 Thu Jul 16 11:40:35 2020 error -1 reading relation 228061975 Thu Jul 16 11:40:35 2020 error -1 reading relation 228061976 Thu Jul 16 11:41:00 2020 error -1 reading relation 232407979 Thu Jul 16 11:41:00 2020 error -1 reading relation 232407980 Thu Jul 16 11:43:21 2020 error -1 reading relation 255777905 Thu Jul 16 11:43:36 2020 error -1 reading relation 258403259 Thu Jul 16 11:51:08 2020 error -15 reading relation 335191042 Thu Jul 16 11:51:21 2020 error -15 reading relation 337460293 Thu Jul 16 11:51:35 2020 error -1 reading relation 339782689 Thu Jul 16 11:51:35 2020 error -1 reading relation 339790043 Thu Jul 16 11:52:34 2020 error -1 reading relation 349964547 Thu Jul 16 11:52:34 2020 error -1 reading relation 350086548 Thu Jul 16 11:52:34 2020 error -1 reading relation 350086549 Thu Jul 16 11:52:34 2020 error -1 reading relation 350086550 Thu Jul 16 11:53:37 2020 error -1 reading relation 360865577 Thu Jul 16 11:54:07 2020 skipped 3138 relations with b > 2^32 Thu Jul 16 11:54:07 2020 skipped 4 relations with composite factors Thu Jul 16 11:54:07 2020 found 27926981 hash collisions in 365960823 relations Thu Jul 16 11:54:13 2020 added 3657708 free relations Thu Jul 16 11:54:13 2020 commencing duplicate removal, pass 2 Thu Jul 16 12:09:17 2020 found 0 duplicates and 369618531 unique relations Thu Jul 16 12:09:17 2020 memory use: 1321.5 MB Thu Jul 16 12:09:17 2020 reading ideals above 224985088 Thu Jul 16 12:09:17 2020 commencing singleton removal, initial pass Thu Jul 16 12:35:55 2020 memory use: 6024.0 MB Thu Jul 16 12:35:55 2020 reading all ideals from disk Thu Jul 16 12:38:33 2020 memory use: 6749.3 MB Thu Jul 16 12:38:48 2020 commencing in-memory singleton removal Thu Jul 16 12:39:02 2020 begin with 369618531 relations and 305912547 unique ideals Thu Jul 16 12:41:43 2020 reduce to 244048082 relations and 167654507 ideals in 13 passes Thu Jul 16 12:41:43 2020 max relations containing the same ideal: 53 Thu Jul 16 12:42:13 2020 reading ideals above 720000 Thu Jul 16 12:42:14 2020 commencing singleton removal, initial pass Thu Jul 16 13:06:13 2020 memory use: 5512.0 MB Thu Jul 16 13:06:14 2020 reading all ideals from disk Thu Jul 16 13:10:04 2020 memory use: 9753.0 MB Thu Jul 16 13:10:25 2020 keeping 191255417 ideals with weight <= 200, target excess is 1163411 Thu Jul 16 13:10:50 2020 commencing in-memory singleton removal Thu Jul 16 13:11:07 2020 begin with 244048082 relations and 191255417 unique ideals Thu Jul 16 13:13:24 2020 reduce to 244046689 relations and 191254020 ideals in 7 passes Thu Jul 16 13:13:24 2020 max relations containing the same ideal: 200 Thu Jul 16 13:14:55 2020 removing 12533537 relations and 10533537 ideals in 2000000 cliques Thu Jul 16 13:15:00 2020 commencing in-memory singleton removal Thu Jul 16 13:15:17 2020 begin with 231513152 relations and 191254020 unique ideals Thu Jul 16 13:17:43 2020 reduce to 231000125 relations and 180201574 ideals in 8 passes Thu Jul 16 13:17:43 2020 max relations containing the same ideal: 200 Thu Jul 16 13:19:14 2020 removing 9441367 relations and 7441367 ideals in 2000000 cliques Thu Jul 16 13:19:19 2020 commencing in-memory singleton removal Thu Jul 16 13:19:34 2020 begin with 221558758 relations and 180201574 unique ideals Thu Jul 16 13:21:36 2020 reduce to 221233356 relations and 172431660 ideals in 7 passes Thu Jul 16 13:21:36 2020 max relations containing the same ideal: 197 Thu Jul 16 13:22:59 2020 removing 8475740 relations and 6475740 ideals in 2000000 cliques Thu Jul 16 13:23:03 2020 commencing in-memory singleton removal Thu Jul 16 13:23:17 2020 begin with 212757616 relations and 172431660 unique ideals Thu Jul 16 13:25:14 2020 reduce to 212480216 relations and 165675932 ideals in 7 passes Thu Jul 16 13:25:14 2020 max relations containing the same ideal: 192 Thu Jul 16 13:26:34 2020 removing 7942666 relations and 5942666 ideals in 2000000 cliques Thu Jul 16 13:26:38 2020 commencing in-memory singleton removal Thu Jul 16 13:26:52 2020 begin with 204537550 relations and 165675932 unique ideals Thu Jul 16 13:28:45 2020 reduce to 204283723 relations and 159477016 ideals in 7 passes Thu Jul 16 13:28:45 2020 max relations containing the same ideal: 189 Thu Jul 16 13:30:06 2020 removing 7596081 relations and 5596081 ideals in 2000000 cliques Thu Jul 16 13:30:10 2020 commencing in-memory singleton removal Thu Jul 16 13:30:24 2020 begin with 196687642 relations and 159477016 unique ideals Thu Jul 16 13:32:13 2020 reduce to 196448305 relations and 153639342 ideals in 7 passes Thu Jul 16 13:32:13 2020 max relations containing the same ideal: 184 Thu Jul 16 13:33:28 2020 removing 7349105 relations and 5349105 ideals in 2000000 cliques Thu Jul 16 13:33:32 2020 commencing in-memory singleton removal Thu Jul 16 13:33:45 2020 begin with 189099200 relations and 153639342 unique ideals Thu Jul 16 13:35:28 2020 reduce to 188866967 relations and 148055765 ideals in 7 passes Thu Jul 16 13:35:28 2020 max relations containing the same ideal: 181 Thu Jul 16 13:36:38 2020 removing 7165211 relations and 5165211 ideals in 2000000 cliques Thu Jul 16 13:36:42 2020 commencing in-memory singleton removal Thu Jul 16 13:36:54 2020 begin with 181701756 relations and 148055765 unique ideals Thu Jul 16 13:38:47 2020 reduce to 181475487 relations and 142661932 ideals in 8 passes Thu Jul 16 13:38:47 2020 max relations containing the same ideal: 177 Thu Jul 16 13:39:55 2020 removing 7027120 relations and 5027120 ideals in 2000000 cliques Thu Jul 16 13:39:59 2020 commencing in-memory singleton removal Thu Jul 16 13:40:10 2020 begin with 174448367 relations and 142661932 unique ideals Thu Jul 16 13:41:44 2020 reduce to 174224975 relations and 137409067 ideals in 7 passes Thu Jul 16 13:41:44 2020 max relations containing the same ideal: 172 Thu Jul 16 13:42:49 2020 removing 6918150 relations and 4918150 ideals in 2000000 cliques Thu Jul 16 13:42:53 2020 commencing in-memory singleton removal Thu Jul 16 13:43:04 2020 begin with 167306825 relations and 137409067 unique ideals Thu Jul 16 13:44:21 2020 reduce to 167083533 relations and 132265143 ideals in 6 passes Thu Jul 16 13:44:21 2020 max relations containing the same ideal: 165 Thu Jul 16 13:45:24 2020 removing 6827450 relations and 4827450 ideals in 2000000 cliques Thu Jul 16 13:45:27 2020 commencing in-memory singleton removal Thu Jul 16 13:45:38 2020 begin with 160256083 relations and 132265143 unique ideals Thu Jul 16 13:46:51 2020 reduce to 160031925 relations and 127211019 ideals in 6 passes Thu Jul 16 13:46:51 2020 max relations containing the same ideal: 162 Thu Jul 16 13:47:51 2020 removing 6758964 relations and 4758964 ideals in 2000000 cliques Thu Jul 16 13:47:55 2020 commencing in-memory singleton removal Thu Jul 16 13:48:05 2020 begin with 153272961 relations and 127211019 unique ideals Thu Jul 16 13:49:27 2020 reduce to 153045385 relations and 122221831 ideals in 7 passes Thu Jul 16 13:49:27 2020 max relations containing the same ideal: 160 Thu Jul 16 13:50:25 2020 removing 6704020 relations and 4704020 ideals in 2000000 cliques Thu Jul 16 13:50:28 2020 commencing in-memory singleton removal Thu Jul 16 13:50:37 2020 begin with 146341365 relations and 122221831 unique ideals Thu Jul 16 13:51:44 2020 reduce to 146111146 relations and 117284799 ideals in 6 passes Thu Jul 16 13:51:44 2020 max relations containing the same ideal: 155 Thu Jul 16 13:52:39 2020 removing 6661144 relations and 4661144 ideals in 2000000 cliques Thu Jul 16 13:52:42 2020 commencing in-memory singleton removal Thu Jul 16 13:52:51 2020 begin with 139450002 relations and 117284799 unique ideals Thu Jul 16 13:53:55 2020 reduce to 139212003 relations and 112382605 ideals in 6 passes Thu Jul 16 13:53:55 2020 max relations containing the same ideal: 148 Thu Jul 16 13:54:48 2020 removing 6629346 relations and 4629346 ideals in 2000000 cliques Thu Jul 16 13:54:50 2020 commencing in-memory singleton removal Thu Jul 16 13:54:59 2020 begin with 132582657 relations and 112382605 unique ideals Thu Jul 16 13:55:59 2020 reduce to 132339075 relations and 107506401 ideals in 6 passes Thu Jul 16 13:55:59 2020 max relations containing the same ideal: 143 Thu Jul 16 13:56:49 2020 removing 6606447 relations and 4606447 ideals in 2000000 cliques Thu Jul 16 13:56:52 2020 commencing in-memory singleton removal Thu Jul 16 13:57:00 2020 begin with 125732628 relations and 107506401 unique ideals Thu Jul 16 13:58:06 2020 reduce to 125480114 relations and 102643905 ideals in 7 passes Thu Jul 16 13:58:06 2020 max relations containing the same ideal: 139 Thu Jul 16 13:58:54 2020 removing 6594681 relations and 4594681 ideals in 2000000 cliques Thu Jul 16 13:58:57 2020 commencing in-memory singleton removal Thu Jul 16 13:59:04 2020 begin with 118885433 relations and 102643905 unique ideals Thu Jul 16 14:00:06 2020 reduce to 118621588 relations and 97781442 ideals in 7 passes Thu Jul 16 14:00:06 2020 max relations containing the same ideal: 136 Thu Jul 16 14:00:52 2020 removing 6594209 relations and 4594209 ideals in 2000000 cliques Thu Jul 16 14:00:55 2020 commencing in-memory singleton removal Thu Jul 16 14:01:02 2020 begin with 112027379 relations and 97781442 unique ideals Thu Jul 16 14:02:00 2020 reduce to 111749519 relations and 92905109 ideals in 7 passes Thu Jul 16 14:02:00 2020 max relations containing the same ideal: 131 Thu Jul 16 14:02:44 2020 removing 6597805 relations and 4597805 ideals in 2000000 cliques Thu Jul 16 14:02:46 2020 commencing in-memory singleton removal Thu Jul 16 14:02:53 2020 begin with 105151714 relations and 92905109 unique ideals Thu Jul 16 14:03:47 2020 reduce to 104858639 relations and 88009354 ideals in 7 passes Thu Jul 16 14:03:47 2020 max relations containing the same ideal: 126 Thu Jul 16 14:04:27 2020 removing 6619538 relations and 4619538 ideals in 2000000 cliques Thu Jul 16 14:04:30 2020 commencing in-memory singleton removal Thu Jul 16 14:04:36 2020 begin with 98239101 relations and 88009354 unique ideals Thu Jul 16 14:05:26 2020 reduce to 97926284 relations and 83071628 ideals in 7 passes Thu Jul 16 14:05:26 2020 max relations containing the same ideal: 120 Thu Jul 16 14:06:04 2020 removing 6644459 relations and 4644459 ideals in 2000000 cliques Thu Jul 16 14:06:06 2020 commencing in-memory singleton removal Thu Jul 16 14:06:12 2020 begin with 91281825 relations and 83071628 unique ideals Thu Jul 16 14:06:58 2020 reduce to 90946324 relations and 78085454 ideals in 7 passes Thu Jul 16 14:06:58 2020 max relations containing the same ideal: 118 Thu Jul 16 14:07:33 2020 removing 6683263 relations and 4683263 ideals in 2000000 cliques Thu Jul 16 14:07:36 2020 commencing in-memory singleton removal Thu Jul 16 14:07:41 2020 begin with 84263061 relations and 78085454 unique ideals Thu Jul 16 14:08:23 2020 reduce to 83898424 relations and 73030426 ideals in 7 passes Thu Jul 16 14:08:23 2020 max relations containing the same ideal: 108 Thu Jul 16 14:08:55 2020 removing 6735159 relations and 4735159 ideals in 2000000 cliques Thu Jul 16 14:08:57 2020 commencing in-memory singleton removal Thu Jul 16 14:09:02 2020 begin with 77163265 relations and 73030426 unique ideals Thu Jul 16 14:09:41 2020 reduce to 76763809 relations and 67887278 ideals in 7 passes Thu Jul 16 14:09:41 2020 max relations containing the same ideal: 103 Thu Jul 16 14:10:11 2020 removing 6800307 relations and 4800307 ideals in 2000000 cliques Thu Jul 16 14:10:13 2020 commencing in-memory singleton removal Thu Jul 16 14:10:17 2020 begin with 69963502 relations and 67887278 unique ideals Thu Jul 16 14:10:56 2020 reduce to 69516116 relations and 62629607 ideals in 8 passes Thu Jul 16 14:10:56 2020 max relations containing the same ideal: 93 Thu Jul 16 14:11:24 2020 removing 6885632 relations and 4885632 ideals in 2000000 cliques Thu Jul 16 14:11:26 2020 commencing in-memory singleton removal Thu Jul 16 14:11:30 2020 begin with 62630484 relations and 62629607 unique ideals Thu Jul 16 14:12:00 2020 reduce to 62123404 relations and 57224330 ideals in 7 passes Thu Jul 16 14:12:00 2020 max relations containing the same ideal: 87 Thu Jul 16 14:12:24 2020 removing 6986264 relations and 4986264 ideals in 2000000 cliques Thu Jul 16 14:12:27 2020 commencing in-memory singleton removal Thu Jul 16 14:12:30 2020 begin with 55137140 relations and 57224330 unique ideals Thu Jul 16 14:13:00 2020 reduce to 54551400 relations and 51636091 ideals in 8 passes Thu Jul 16 14:13:00 2020 max relations containing the same ideal: 80 Thu Jul 16 14:13:22 2020 removing 5841804 relations and 4276052 ideals in 1565752 cliques Thu Jul 16 14:13:24 2020 commencing in-memory singleton removal Thu Jul 16 14:13:26 2020 begin with 48709596 relations and 51636091 unique ideals Thu Jul 16 14:13:53 2020 reduce to 48238763 relations and 46877586 ideals in 8 passes Thu Jul 16 14:13:53 2020 max relations containing the same ideal: 74 Thu Jul 16 14:14:12 2020 removing 92628 relations and 81008 ideals in 11620 cliques Thu Jul 16 14:14:13 2020 commencing in-memory singleton removal Thu Jul 16 14:14:16 2020 begin with 48146135 relations and 46877586 unique ideals Thu Jul 16 14:14:29 2020 reduce to 48146038 relations and 46796481 ideals in 4 passes Thu Jul 16 14:14:29 2020 max relations containing the same ideal: 74 Thu Jul 16 14:14:35 2020 relations with 0 large ideals: 91116 Thu Jul 16 14:14:35 2020 relations with 1 large ideals: 26320 Thu Jul 16 14:14:35 2020 relations with 2 large ideals: 322307 Thu Jul 16 14:14:35 2020 relations with 3 large ideals: 1886996 Thu Jul 16 14:14:35 2020 relations with 4 large ideals: 6029818 Thu Jul 16 14:14:35 2020 relations with 5 large ideals: 12838372 Thu Jul 16 14:14:35 2020 relations with 6 large ideals: 12699184 Thu Jul 16 14:14:35 2020 relations with 7+ large ideals: 14251925 Thu Jul 16 14:14:35 2020 commencing 2-way merge Thu Jul 16 14:15:02 2020 reduce to 31109503 relation sets and 29759946 unique ideals Thu Jul 16 14:15:02 2020 commencing full merge Thu Jul 16 14:33:16 2020 memory use: 1386.5 MB Thu Jul 16 14:33:16 2020 found 188004 cycles, need 6862611 Thu Jul 16 14:33:16 2020 too few cycles, matrix probably cannot build Thu Jul 16 16:28:35 2020 Thu Jul 16 16:28:35 2020 Thu Jul 16 16:28:35 2020 Msieve v. 1.53 (SVN 988M) Thu Jul 16 16:28:35 2020 random seeds: bcddd321 d5cf2924 Thu Jul 16 16:28:35 2020 factoring 38081015522918383376253397460772582938803519199934573540390929843144131484378074353843017534220846260021252162251390101942607890658061058972409104491901559162960880571065692990770443821 (185 digits) Thu Jul 16 16:28:36 2020 searching for 15-digit factors Thu Jul 16 16:28:37 2020 commencing number field sieve (185-digit input) Thu Jul 16 16:28:37 2020 R0: -199859373044211703930981441101683237507005189894478628761 Thu Jul 16 16:28:37 2020 R1: 8746285356762320018965178758523815086598688705561493504 Thu Jul 16 16:28:37 2020 A0: -1 Thu Jul 16 16:28:37 2020 A1: -6 Thu Jul 16 16:28:37 2020 A2: -6 Thu Jul 16 16:28:37 2020 A3: 4 Thu Jul 16 16:28:37 2020 A4: 4 Thu Jul 16 16:28:37 2020 skew 0.71, size 6.203e-23, alpha 1.793, combined = 1.081e-13 rroots = 4 Thu Jul 16 16:28:37 2020 Thu Jul 16 16:28:37 2020 commencing relation filtering Thu Jul 16 16:28:37 2020 setting target matrix density to 116.0 Thu Jul 16 16:28:37 2020 estimated available RAM is 32768.0 MB Thu Jul 16 16:28:37 2020 commencing duplicate removal, pass 1 Thu Jul 16 16:29:47 2020 error -1 reading relation 12116532 Thu Jul 16 16:29:47 2020 error -1 reading relation 12116533 Thu Jul 16 16:29:47 2020 error -1 reading relation 12116534 Thu Jul 16 16:30:19 2020 error -1 reading relation 17652178 Thu Jul 16 16:30:50 2020 error -1 reading relation 22886719 Thu Jul 16 16:30:51 2020 error -1 reading relation 23028508 Thu Jul 16 16:30:51 2020 error -1 reading relation 23028509 Thu Jul 16 16:30:51 2020 error -1 reading relation 23028510 Thu Jul 16 16:30:51 2020 error -1 reading relation 23028511 Thu Jul 16 16:30:51 2020 error -1 reading relation 23028512 Thu Jul 16 16:31:42 2020 error -11 reading relation 31702510 Thu Jul 16 16:33:31 2020 error -15 reading relation 50119334 Thu Jul 16 16:33:41 2020 error -15 reading relation 51894345 Thu Jul 16 16:33:55 2020 error -1 reading relation 54290813 Thu Jul 16 16:33:55 2020 error -1 reading relation 54290814 Thu Jul 16 16:35:31 2020 error -1 reading relation 70405134 Thu Jul 16 16:35:31 2020 error -1 reading relation 70405135 Thu Jul 16 16:38:23 2020 error -1 reading relation 99830494 Thu Jul 16 16:38:23 2020 error -1 reading relation 99830495 Thu Jul 16 16:41:51 2020 error -1 reading relation 135029771 Thu Jul 16 16:47:02 2020 error -1 reading relation 187913620 Thu Jul 16 16:47:02 2020 error -1 reading relation 187913621 Thu Jul 16 16:51:05 2020 error -1 reading relation 228061975 Thu Jul 16 16:51:05 2020 error -1 reading relation 228061976 Thu Jul 16 16:51:31 2020 error -1 reading relation 232407979 Thu Jul 16 16:51:31 2020 error -1 reading relation 232407980 Thu Jul 16 16:53:50 2020 error -1 reading relation 255777905 Thu Jul 16 16:54:06 2020 error -1 reading relation 258403259 Thu Jul 16 17:01:34 2020 error -15 reading relation 335191042 Thu Jul 16 17:01:48 2020 error -15 reading relation 337460293 Thu Jul 16 17:02:01 2020 error -1 reading relation 339782689 Thu Jul 16 17:02:01 2020 error -1 reading relation 339790043 Thu Jul 16 17:02:59 2020 error -1 reading relation 349964547 Thu Jul 16 17:03:00 2020 error -1 reading relation 350086548 Thu Jul 16 17:03:00 2020 error -1 reading relation 350086549 Thu Jul 16 17:03:00 2020 error -1 reading relation 350086550 Thu Jul 16 17:04:03 2020 error -1 reading relation 360865577 Thu Jul 16 17:04:53 2020 skipped 3138 relations with b > 2^32 Thu Jul 16 17:04:53 2020 skipped 4 relations with composite factors Thu Jul 16 17:04:53 2020 found 28455494 hash collisions in 369618531 relations Thu Jul 16 17:04:55 2020 commencing duplicate removal, pass 2 Thu Jul 16 17:20:00 2020 found 0 duplicates and 369618531 unique relations Thu Jul 16 17:20:00 2020 memory use: 1321.5 MB Thu Jul 16 17:20:01 2020 reading ideals above 224985088 Thu Jul 16 17:20:01 2020 commencing singleton removal, initial pass Thu Jul 16 17:46:02 2020 memory use: 6024.0 MB Thu Jul 16 17:46:04 2020 reading all ideals from disk Thu Jul 16 17:48:44 2020 memory use: 6749.3 MB Thu Jul 16 17:48:58 2020 commencing in-memory singleton removal Thu Jul 16 17:49:12 2020 begin with 369618531 relations and 305912547 unique ideals Thu Jul 16 17:51:49 2020 reduce to 244048082 relations and 167654507 ideals in 13 passes Thu Jul 16 17:51:49 2020 max relations containing the same ideal: 53 Thu Jul 16 17:52:18 2020 reading ideals above 720000 Thu Jul 16 17:52:19 2020 commencing singleton removal, initial pass Thu Jul 16 18:15:54 2020 memory use: 5512.0 MB Thu Jul 16 18:15:55 2020 reading all ideals from disk Thu Jul 16 18:19:46 2020 memory use: 9753.0 MB Thu Jul 16 18:20:07 2020 keeping 191255417 ideals with weight <= 200, target excess is 1163411 Thu Jul 16 18:20:31 2020 commencing in-memory singleton removal Thu Jul 16 18:20:49 2020 begin with 244048082 relations and 191255417 unique ideals Thu Jul 16 18:23:04 2020 reduce to 244046689 relations and 191254020 ideals in 7 passes Thu Jul 16 18:23:04 2020 max relations containing the same ideal: 200 Thu Jul 16 18:24:35 2020 removing 12533537 relations and 10533537 ideals in 2000000 cliques Thu Jul 16 18:24:40 2020 commencing in-memory singleton removal Thu Jul 16 18:24:56 2020 begin with 231513152 relations and 191254020 unique ideals Thu Jul 16 18:27:23 2020 reduce to 231000125 relations and 180201574 ideals in 8 passes Thu Jul 16 18:27:23 2020 max relations containing the same ideal: 200 Thu Jul 16 18:28:49 2020 removing 9441367 relations and 7441367 ideals in 2000000 cliques Thu Jul 16 18:28:53 2020 commencing in-memory singleton removal Thu Jul 16 18:29:09 2020 begin with 221558758 relations and 180201574 unique ideals Thu Jul 16 18:31:12 2020 reduce to 221233356 relations and 172431660 ideals in 7 passes Thu Jul 16 18:31:12 2020 max relations containing the same ideal: 197 Thu Jul 16 18:32:35 2020 removing 8475740 relations and 6475740 ideals in 2000000 cliques Thu Jul 16 18:32:39 2020 commencing in-memory singleton removal Thu Jul 16 18:32:54 2020 begin with 212757616 relations and 172431660 unique ideals Thu Jul 16 18:34:51 2020 reduce to 212480216 relations and 165675932 ideals in 7 passes Thu Jul 16 18:34:51 2020 max relations containing the same ideal: 192 Thu Jul 16 18:36:10 2020 removing 7942666 relations and 5942666 ideals in 2000000 cliques Thu Jul 16 18:36:14 2020 commencing in-memory singleton removal Thu Jul 16 18:36:28 2020 begin with 204537550 relations and 165675932 unique ideals Thu Jul 16 18:38:20 2020 reduce to 204283723 relations and 159477016 ideals in 7 passes Thu Jul 16 18:38:20 2020 max relations containing the same ideal: 189 Thu Jul 16 18:39:36 2020 removing 7596081 relations and 5596081 ideals in 2000000 cliques Thu Jul 16 18:39:40 2020 commencing in-memory singleton removal Thu Jul 16 18:39:54 2020 begin with 196687642 relations and 159477016 unique ideals Thu Jul 16 18:41:41 2020 reduce to 196448305 relations and 153639342 ideals in 7 passes Thu Jul 16 18:41:41 2020 max relations containing the same ideal: 184 Thu Jul 16 18:42:54 2020 removing 7349105 relations and 5349105 ideals in 2000000 cliques Thu Jul 16 18:42:58 2020 commencing in-memory singleton removal Thu Jul 16 18:43:11 2020 begin with 189099200 relations and 153639342 unique ideals Thu Jul 16 18:44:53 2020 reduce to 188866967 relations and 148055765 ideals in 7 passes Thu Jul 16 18:44:53 2020 max relations containing the same ideal: 181 Thu Jul 16 18:46:04 2020 removing 7165211 relations and 5165211 ideals in 2000000 cliques Thu Jul 16 18:46:07 2020 commencing in-memory singleton removal Thu Jul 16 18:46:20 2020 begin with 181701756 relations and 148055765 unique ideals Thu Jul 16 18:48:13 2020 reduce to 181475487 relations and 142661932 ideals in 8 passes Thu Jul 16 18:48:13 2020 max relations containing the same ideal: 177 Thu Jul 16 18:49:20 2020 removing 7027120 relations and 5027120 ideals in 2000000 cliques Thu Jul 16 18:49:23 2020 commencing in-memory singleton removal Thu Jul 16 18:49:35 2020 begin with 174448367 relations and 142661932 unique ideals Thu Jul 16 18:51:09 2020 reduce to 174224975 relations and 137409067 ideals in 7 passes Thu Jul 16 18:51:09 2020 max relations containing the same ideal: 172 Thu Jul 16 18:52:15 2020 removing 6918150 relations and 4918150 ideals in 2000000 cliques Thu Jul 16 18:52:18 2020 commencing in-memory singleton removal Thu Jul 16 18:52:30 2020 begin with 167306825 relations and 137409067 unique ideals Thu Jul 16 18:53:46 2020 reduce to 167083533 relations and 132265143 ideals in 6 passes Thu Jul 16 18:53:46 2020 max relations containing the same ideal: 165 Thu Jul 16 18:54:49 2020 removing 6827450 relations and 4827450 ideals in 2000000 cliques Thu Jul 16 18:54:52 2020 commencing in-memory singleton removal Thu Jul 16 18:55:03 2020 begin with 160256083 relations and 132265143 unique ideals Thu Jul 16 18:56:16 2020 reduce to 160031925 relations and 127211019 ideals in 6 passes Thu Jul 16 18:56:16 2020 max relations containing the same ideal: 162 Thu Jul 16 18:57:17 2020 removing 6758964 relations and 4758964 ideals in 2000000 cliques Thu Jul 16 18:57:20 2020 commencing in-memory singleton removal Thu Jul 16 18:57:30 2020 begin with 153272961 relations and 127211019 unique ideals Thu Jul 16 18:58:52 2020 reduce to 153045385 relations and 122221831 ideals in 7 passes Thu Jul 16 18:58:52 2020 max relations containing the same ideal: 160 Thu Jul 16 18:59:50 2020 removing 6704020 relations and 4704020 ideals in 2000000 cliques Thu Jul 16 18:59:53 2020 commencing in-memory singleton removal Thu Jul 16 19:00:03 2020 begin with 146341365 relations and 122221831 unique ideals Thu Jul 16 19:01:10 2020 reduce to 146111146 relations and 117284799 ideals in 6 passes Thu Jul 16 19:01:10 2020 max relations containing the same ideal: 155 Thu Jul 16 19:02:05 2020 removing 6661144 relations and 4661144 ideals in 2000000 cliques Thu Jul 16 19:02:07 2020 commencing in-memory singleton removal Thu Jul 16 19:02:16 2020 begin with 139450002 relations and 117284799 unique ideals Thu Jul 16 19:03:20 2020 reduce to 139212003 relations and 112382605 ideals in 6 passes Thu Jul 16 19:03:20 2020 max relations containing the same ideal: 148 Thu Jul 16 19:04:13 2020 removing 6629346 relations and 4629346 ideals in 2000000 cliques Thu Jul 16 19:04:16 2020 commencing in-memory singleton removal Thu Jul 16 19:04:24 2020 begin with 132582657 relations and 112382605 unique ideals Thu Jul 16 19:05:24 2020 reduce to 132339075 relations and 107506401 ideals in 6 passes Thu Jul 16 19:05:24 2020 max relations containing the same ideal: 143 Thu Jul 16 19:06:14 2020 removing 6606447 relations and 4606447 ideals in 2000000 cliques Thu Jul 16 19:06:17 2020 commencing in-memory singleton removal Thu Jul 16 19:06:25 2020 begin with 125732628 relations and 107506401 unique ideals Thu Jul 16 19:07:31 2020 reduce to 125480114 relations and 102643905 ideals in 7 passes Thu Jul 16 19:07:31 2020 max relations containing the same ideal: 139 Thu Jul 16 19:08:19 2020 removing 6594681 relations and 4594681 ideals in 2000000 cliques Thu Jul 16 19:08:22 2020 commencing in-memory singleton removal Thu Jul 16 19:08:30 2020 begin with 118885433 relations and 102643905 unique ideals Thu Jul 16 19:09:31 2020 reduce to 118621588 relations and 97781442 ideals in 7 passes Thu Jul 16 19:09:31 2020 max relations containing the same ideal: 136 Thu Jul 16 19:10:17 2020 removing 6594209 relations and 4594209 ideals in 2000000 cliques Thu Jul 16 19:10:19 2020 commencing in-memory singleton removal Thu Jul 16 19:10:26 2020 begin with 112027379 relations and 97781442 unique ideals Thu Jul 16 19:11:24 2020 reduce to 111749519 relations and 92905109 ideals in 7 passes Thu Jul 16 19:11:24 2020 max relations containing the same ideal: 131 Thu Jul 16 19:12:07 2020 removing 6597805 relations and 4597805 ideals in 2000000 cliques Thu Jul 16 19:12:09 2020 commencing in-memory singleton removal Thu Jul 16 19:12:16 2020 begin with 105151714 relations and 92905109 unique ideals Thu Jul 16 19:13:10 2020 reduce to 104858639 relations and 88009354 ideals in 7 passes Thu Jul 16 19:13:10 2020 max relations containing the same ideal: 126 Thu Jul 16 19:13:51 2020 removing 6619538 relations and 4619538 ideals in 2000000 cliques Thu Jul 16 19:13:54 2020 commencing in-memory singleton removal Thu Jul 16 19:14:00 2020 begin with 98239101 relations and 88009354 unique ideals Thu Jul 16 19:14:50 2020 reduce to 97926284 relations and 83071628 ideals in 7 passes Thu Jul 16 19:14:50 2020 max relations containing the same ideal: 120 Thu Jul 16 19:15:27 2020 removing 6644459 relations and 4644459 ideals in 2000000 cliques Thu Jul 16 19:15:30 2020 commencing in-memory singleton removal Thu Jul 16 19:15:35 2020 begin with 91281825 relations and 83071628 unique ideals Thu Jul 16 19:16:21 2020 reduce to 90946324 relations and 78085454 ideals in 7 passes Thu Jul 16 19:16:21 2020 max relations containing the same ideal: 118 Thu Jul 16 19:16:57 2020 removing 6683263 relations and 4683263 ideals in 2000000 cliques Thu Jul 16 19:16:59 2020 commencing in-memory singleton removal Thu Jul 16 19:17:04 2020 begin with 84263061 relations and 78085454 unique ideals Thu Jul 16 19:17:46 2020 reduce to 83898424 relations and 73030426 ideals in 7 passes Thu Jul 16 19:17:46 2020 max relations containing the same ideal: 108 Thu Jul 16 19:18:19 2020 removing 6735159 relations and 4735159 ideals in 2000000 cliques Thu Jul 16 19:18:21 2020 commencing in-memory singleton removal Thu Jul 16 19:18:26 2020 begin with 77163265 relations and 73030426 unique ideals Thu Jul 16 19:19:05 2020 reduce to 76763809 relations and 67887278 ideals in 7 passes Thu Jul 16 19:19:05 2020 max relations containing the same ideal: 103 Thu Jul 16 19:19:35 2020 removing 6800307 relations and 4800307 ideals in 2000000 cliques Thu Jul 16 19:19:37 2020 commencing in-memory singleton removal Thu Jul 16 19:19:41 2020 begin with 69963502 relations and 67887278 unique ideals Thu Jul 16 19:20:21 2020 reduce to 69516116 relations and 62629607 ideals in 8 passes Thu Jul 16 19:20:21 2020 max relations containing the same ideal: 93 Thu Jul 16 19:20:49 2020 removing 6885632 relations and 4885632 ideals in 2000000 cliques Thu Jul 16 19:20:51 2020 commencing in-memory singleton removal Thu Jul 16 19:20:54 2020 begin with 62630484 relations and 62629607 unique ideals Thu Jul 16 19:21:25 2020 reduce to 62123404 relations and 57224330 ideals in 7 passes Thu Jul 16 19:21:25 2020 max relations containing the same ideal: 87 Thu Jul 16 19:21:49 2020 removing 6986264 relations and 4986264 ideals in 2000000 cliques Thu Jul 16 19:21:51 2020 commencing in-memory singleton removal Thu Jul 16 19:21:55 2020 begin with 55137140 relations and 57224330 unique ideals Thu Jul 16 19:22:25 2020 reduce to 54551400 relations and 51636091 ideals in 8 passes Thu Jul 16 19:22:25 2020 max relations containing the same ideal: 80 Thu Jul 16 19:22:46 2020 removing 5841804 relations and 4276052 ideals in 1565752 cliques Thu Jul 16 19:22:48 2020 commencing in-memory singleton removal Thu Jul 16 19:22:51 2020 begin with 48709596 relations and 51636091 unique ideals Thu Jul 16 19:23:17 2020 reduce to 48238763 relations and 46877586 ideals in 8 passes Thu Jul 16 19:23:17 2020 max relations containing the same ideal: 74 Thu Jul 16 19:23:36 2020 removing 92628 relations and 81008 ideals in 11620 cliques Thu Jul 16 19:23:37 2020 commencing in-memory singleton removal Thu Jul 16 19:23:40 2020 begin with 48146135 relations and 46877586 unique ideals Thu Jul 16 19:23:53 2020 reduce to 48146038 relations and 46796481 ideals in 4 passes Thu Jul 16 19:23:53 2020 max relations containing the same ideal: 74 Thu Jul 16 19:23:59 2020 relations with 0 large ideals: 91116 Thu Jul 16 19:23:59 2020 relations with 1 large ideals: 26320 Thu Jul 16 19:23:59 2020 relations with 2 large ideals: 322307 Thu Jul 16 19:23:59 2020 relations with 3 large ideals: 1886996 Thu Jul 16 19:23:59 2020 relations with 4 large ideals: 6029818 Thu Jul 16 19:23:59 2020 relations with 5 large ideals: 12838372 Thu Jul 16 19:23:59 2020 relations with 6 large ideals: 12699184 Thu Jul 16 19:23:59 2020 relations with 7+ large ideals: 14251925 Thu Jul 16 19:23:59 2020 commencing 2-way merge Thu Jul 16 19:24:25 2020 reduce to 31109503 relation sets and 29759946 unique ideals Thu Jul 16 19:24:25 2020 commencing full merge Thu Jul 16 19:35:14 2020 memory use: 3675.6 MB Thu Jul 16 19:35:21 2020 found 13800512 cycles, need 13794146 Thu Jul 16 19:35:22 2020 weight of 13794146 cycles is about 1600404831 (116.02/cycle) Thu Jul 16 19:35:22 2020 distribution of cycle lengths: Thu Jul 16 19:35:22 2020 1 relations: 642732 Thu Jul 16 19:35:22 2020 2 relations: 800562 Thu Jul 16 19:35:22 2020 3 relations: 897897 Thu Jul 16 19:35:22 2020 4 relations: 922157 Thu Jul 16 19:35:22 2020 5 relations: 938946 Thu Jul 16 19:35:22 2020 6 relations: 929768 Thu Jul 16 19:35:22 2020 7 relations: 914679 Thu Jul 16 19:35:22 2020 8 relations: 886330 Thu Jul 16 19:35:22 2020 9 relations: 844776 Thu Jul 16 19:35:22 2020 10+ relations: 6016299 Thu Jul 16 19:35:22 2020 heaviest cycle: 28 relations Thu Jul 16 19:35:27 2020 commencing cycle optimization Thu Jul 16 19:36:00 2020 start with 129974652 relations Thu Jul 16 19:41:45 2020 pruned 6059945 relations Thu Jul 16 19:41:45 2020 memory use: 3324.6 MB Thu Jul 16 19:41:45 2020 distribution of cycle lengths: Thu Jul 16 19:41:45 2020 1 relations: 642732 Thu Jul 16 19:41:45 2020 2 relations: 817044 Thu Jul 16 19:41:45 2020 3 relations: 933978 Thu Jul 16 19:41:45 2020 4 relations: 959935 Thu Jul 16 19:41:45 2020 5 relations: 985031 Thu Jul 16 19:41:45 2020 6 relations: 974780 Thu Jul 16 19:41:45 2020 7 relations: 962460 Thu Jul 16 19:41:45 2020 8 relations: 931184 Thu Jul 16 19:41:45 2020 9 relations: 888334 Thu Jul 16 19:41:45 2020 10+ relations: 5698668 Thu Jul 16 19:41:45 2020 heaviest cycle: 28 relations Thu Jul 16 19:42:31 2020 RelProcTime: 11634 Thu Jul 16 19:42:31 2020 Thu Jul 16 19:42:31 2020 commencing linear algebra Thu Jul 16 19:42:33 2020 read 13794146 cycles Thu Jul 16 19:43:07 2020 cycles contain 47374047 unique relations Thu Jul 16 19:58:27 2020 read 47374047 relations Thu Jul 16 20:00:07 2020 using 20 quadratic characters above 4294917295 Thu Jul 16 20:02:48 2020 building initial matrix Thu Jul 16 20:10:04 2020 memory use: 6018.8 MB Thu Jul 16 20:12:44 2020 read 13794146 cycles Thu Jul 16 20:12:46 2020 matrix is 13793969 x 13794146 (6308.3 MB) with weight 1804941411 (130.85/col) Thu Jul 16 20:12:46 2020 sparse part has weight 1501947731 (108.88/col) Thu Jul 16 20:15:16 2020 filtering completed in 2 passes Thu Jul 16 20:15:18 2020 matrix is 13793822 x 13793999 (6308.3 MB) with weight 1804936736 (130.85/col) Thu Jul 16 20:15:18 2020 sparse part has weight 1501946363 (108.88/col) Thu Jul 16 20:18:20 2020 matrix starts at (0, 0) Thu Jul 16 20:18:21 2020 matrix is 13793822 x 13793999 (6308.3 MB) with weight 1804936736 (130.85/col) Thu Jul 16 20:18:21 2020 sparse part has weight 1501946363 (108.88/col) Thu Jul 16 20:18:21 2020 saving the first 48 matrix rows for later Thu Jul 16 20:18:23 2020 matrix includes 64 packed rows Thu Jul 16 20:18:24 2020 matrix is 13793774 x 13793999 (6053.1 MB) with weight 1550599357 (112.41/col) Thu Jul 16 20:18:24 2020 sparse part has weight 1448847636 (105.03/col) Thu Jul 16 20:18:24 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Thu Jul 16 20:19:40 2020 commencing Lanczos iteration (16 threads) Thu Jul 16 20:19:40 2020 memory use: 5185.9 MB Thu Jul 16 20:19:57 2020 linear algebra at 0.0%, ETA 40h30m Thu Jul 16 20:20:02 2020 checkpointing every 350000 dimensions Sat Jul 18 12:58:25 2020 lanczos halted after 218135 iterations (dim = 13793769) Sat Jul 18 12:58:37 2020 recovered 32 nontrivial dependencies Sat Jul 18 12:58:42 2020 BLanczosTime: 148571 Sat Jul 18 12:58:42 2020 Sat Jul 18 12:58:42 2020 commencing square root phase Sat Jul 18 12:58:42 2020 handling dependencies 1 to 64 Sat Jul 18 12:58:42 2020 reading relations for dependency 1 Sat Jul 18 12:58:55 2020 read 6894843 cycles Sat Jul 18 12:59:10 2020 cycles contain 23690096 unique relations Sat Jul 18 13:14:09 2020 read 23690096 relations Sat Jul 18 13:15:49 2020 multiplying 23690096 relations Sat Jul 18 13:23:13 2020 multiply complete, coefficients have about 653.08 million bits Sat Jul 18 13:23:15 2020 initial square root is modulo 723043 Sat Jul 18 13:31:02 2020 GCD is 1, no factor found Sat Jul 18 13:31:02 2020 reading relations for dependency 2 Sat Jul 18 13:31:16 2020 read 6892083 cycles Sat Jul 18 13:31:32 2020 cycles contain 23679132 unique relations Sat Jul 18 13:46:31 2020 read 23679132 relations Sat Jul 18 13:48:08 2020 multiplying 23679132 relations Sat Jul 18 13:55:25 2020 multiply complete, coefficients have about 652.77 million bits Sat Jul 18 13:55:27 2020 initial square root is modulo 718423 Sat Jul 18 14:03:11 2020 GCD is N, no factor found Sat Jul 18 14:03:11 2020 reading relations for dependency 3 Sat Jul 18 14:03:26 2020 read 6897090 cycles Sat Jul 18 14:03:41 2020 cycles contain 23693692 unique relations Sat Jul 18 14:18:42 2020 read 23693692 relations Sat Jul 18 14:20:22 2020 multiplying 23693692 relations Sat Jul 18 14:27:46 2020 multiply complete, coefficients have about 653.17 million bits Sat Jul 18 14:27:48 2020 initial square root is modulo 724393 Sat Jul 18 14:35:33 2020 sqrtTime: 5811 Sat Jul 18 14:35:33 2020 p85 factor: 1012876283502116042584524486810616239051280235871445205816302602024260153243125921021 Sat Jul 18 14:35:33 2020 p101 factor: 37596907088444851241111953253985921059393664679290664994918508850475053176149556027753227876561986801 Sat Jul 18 14:35:33 2020 elapsed time 46:06:58