Fri Jul 31 09:15:30 2020 Fri Jul 31 09:15:30 2020 Fri Jul 31 09:15:30 2020 Msieve v. 1.53 (SVN 988M) Fri Jul 31 09:15:30 2020 random seeds: d21ec34d 4d1b96c2 Fri Jul 31 09:15:30 2020 factoring 1606359584675616013312458957186821384439039859393603342359226713932989163691966486500040197493321080652691036768764931005063464633869431047360443471635832502341304720735547161959998832625816472685668151 (202 digits) Fri Jul 31 09:15:31 2020 searching for 15-digit factors Fri Jul 31 09:15:32 2020 commencing number field sieve (202-digit input) Fri Jul 31 09:15:32 2020 R0: 1569275433846670190958947355801916604025588861116008628224 Fri Jul 31 09:15:32 2020 R1: -2120895147045314119491609587512844743630072107 Fri Jul 31 09:15:32 2020 A0: 1 Fri Jul 31 09:15:32 2020 A1: -1 Fri Jul 31 09:15:32 2020 A2: 1 Fri Jul 31 09:15:32 2020 A3: -1 Fri Jul 31 09:15:32 2020 A4: 1 Fri Jul 31 09:15:32 2020 skew 1.00, size 2.709e-23, alpha 1.694, combined = 6.967e-14 rroots = 0 Fri Jul 31 09:15:32 2020 Fri Jul 31 09:15:32 2020 commencing relation filtering Fri Jul 31 09:15:32 2020 setting target matrix density to 120.0 Fri Jul 31 09:15:32 2020 estimated available RAM is 32768.0 MB Fri Jul 31 09:15:32 2020 commencing duplicate removal, pass 1 Fri Jul 31 09:16:23 2020 error -1 reading relation 7723714 [5523 more error lines] Fri Jul 31 09:49:06 2020 error -1 reading relation 339211438 Fri Jul 31 09:51:11 2020 skipped 2721 relations with b > 2^32 Fri Jul 31 09:51:11 2020 skipped 1632 relations with composite factors Fri Jul 31 09:51:11 2020 found 27154172 hash collisions in 360487844 relations Fri Jul 31 09:51:16 2020 added 3657741 free relations Fri Jul 31 09:51:16 2020 commencing duplicate removal, pass 2 Fri Jul 31 10:06:17 2020 found 0 duplicates and 364145585 unique relations Fri Jul 31 10:06:17 2020 memory use: 1321.5 MB Fri Jul 31 10:06:17 2020 reading ideals above 289865728 Fri Jul 31 10:06:17 2020 commencing singleton removal, initial pass Fri Jul 31 10:31:40 2020 memory use: 6024.0 MB Fri Jul 31 10:31:41 2020 reading all ideals from disk Fri Jul 31 10:34:13 2020 memory use: 6424.0 MB Fri Jul 31 10:34:26 2020 commencing in-memory singleton removal Fri Jul 31 10:34:39 2020 begin with 364145585 relations and 299603505 unique ideals Fri Jul 31 10:37:31 2020 reduce to 238503272 relations and 161171435 ideals in 16 passes Fri Jul 31 10:37:31 2020 max relations containing the same ideal: 44 Fri Jul 31 10:37:59 2020 reading ideals above 720000 Fri Jul 31 10:37:59 2020 commencing singleton removal, initial pass Fri Jul 31 11:01:13 2020 memory use: 5512.0 MB Fri Jul 31 11:01:13 2020 reading all ideals from disk Fri Jul 31 11:05:01 2020 memory use: 9635.0 MB Fri Jul 31 11:05:24 2020 keeping 191489093 ideals with weight <= 200, target excess is 1141641 Fri Jul 31 11:05:48 2020 commencing in-memory singleton removal Fri Jul 31 11:06:05 2020 begin with 238503272 relations and 191489093 unique ideals Fri Jul 31 11:09:31 2020 reduce to 238447998 relations and 191433804 ideals in 11 passes Fri Jul 31 11:09:31 2020 max relations containing the same ideal: 200 Fri Jul 31 11:11:01 2020 removing 12850648 relations and 10850648 ideals in 2000000 cliques Fri Jul 31 11:11:06 2020 commencing in-memory singleton removal Fri Jul 31 11:11:22 2020 begin with 225597350 relations and 191433804 unique ideals Fri Jul 31 11:13:43 2020 reduce to 225040568 relations and 180019646 ideals in 8 passes Fri Jul 31 11:13:43 2020 max relations containing the same ideal: 200 Fri Jul 31 11:15:08 2020 removing 9688905 relations and 7688905 ideals in 2000000 cliques Fri Jul 31 11:15:12 2020 commencing in-memory singleton removal Fri Jul 31 11:15:27 2020 begin with 215351663 relations and 180019646 unique ideals Fri Jul 31 11:17:25 2020 reduce to 214999912 relations and 171975528 ideals in 7 passes Fri Jul 31 11:17:25 2020 max relations containing the same ideal: 195 Fri Jul 31 11:18:45 2020 removing 8704388 relations and 6704388 ideals in 2000000 cliques Fri Jul 31 11:18:49 2020 commencing in-memory singleton removal Fri Jul 31 11:19:04 2020 begin with 206295524 relations and 171975528 unique ideals Fri Jul 31 11:20:57 2020 reduce to 205995246 relations and 164967811 ideals in 7 passes Fri Jul 31 11:20:57 2020 max relations containing the same ideal: 192 Fri Jul 31 11:22:15 2020 removing 8161508 relations and 6161508 ideals in 2000000 cliques Fri Jul 31 11:22:18 2020 commencing in-memory singleton removal Fri Jul 31 11:22:32 2020 begin with 197833738 relations and 164967811 unique ideals Fri Jul 31 11:24:20 2020 reduce to 197556981 relations and 158526880 ideals in 7 passes Fri Jul 31 11:24:20 2020 max relations containing the same ideal: 188 Fri Jul 31 11:25:34 2020 removing 7812113 relations and 5812113 ideals in 2000000 cliques Fri Jul 31 11:25:38 2020 commencing in-memory singleton removal Fri Jul 31 11:25:51 2020 begin with 189744868 relations and 158526880 unique ideals Fri Jul 31 11:27:48 2020 reduce to 189482563 relations and 152449978 ideals in 8 passes Fri Jul 31 11:27:48 2020 max relations containing the same ideal: 183 Fri Jul 31 11:28:59 2020 removing 7561225 relations and 5561225 ideals in 2000000 cliques Fri Jul 31 11:29:03 2020 commencing in-memory singleton removal Fri Jul 31 11:29:15 2020 begin with 181921338 relations and 152449978 unique ideals Fri Jul 31 11:30:53 2020 reduce to 181666290 relations and 146631150 ideals in 7 passes Fri Jul 31 11:30:53 2020 max relations containing the same ideal: 178 Fri Jul 31 11:32:03 2020 removing 7385153 relations and 5385153 ideals in 2000000 cliques Fri Jul 31 11:32:06 2020 commencing in-memory singleton removal Fri Jul 31 11:32:18 2020 begin with 174281137 relations and 146631150 unique ideals Fri Jul 31 11:33:38 2020 reduce to 174031616 relations and 140993893 ideals in 6 passes Fri Jul 31 11:33:38 2020 max relations containing the same ideal: 173 Fri Jul 31 11:34:45 2020 removing 7243482 relations and 5243482 ideals in 2000000 cliques Fri Jul 31 11:34:49 2020 commencing in-memory singleton removal Fri Jul 31 11:35:00 2020 begin with 166788134 relations and 140993893 unique ideals Fri Jul 31 11:36:29 2020 reduce to 166538997 relations and 135498579 ideals in 7 passes Fri Jul 31 11:36:29 2020 max relations containing the same ideal: 169 Fri Jul 31 11:37:33 2020 removing 7140311 relations and 5140311 ideals in 2000000 cliques Fri Jul 31 11:37:36 2020 commencing in-memory singleton removal Fri Jul 31 11:37:47 2020 begin with 159398686 relations and 135498579 unique ideals Fri Jul 31 11:39:00 2020 reduce to 159149412 relations and 130106258 ideals in 6 passes Fri Jul 31 11:39:00 2020 max relations containing the same ideal: 165 Fri Jul 31 11:40:01 2020 removing 7059593 relations and 5059593 ideals in 2000000 cliques Fri Jul 31 11:40:04 2020 commencing in-memory singleton removal Fri Jul 31 11:40:15 2020 begin with 152089819 relations and 130106258 unique ideals Fri Jul 31 11:41:47 2020 reduce to 151838052 relations and 124791976 ideals in 8 passes Fri Jul 31 11:41:47 2020 max relations containing the same ideal: 160 Fri Jul 31 11:42:47 2020 removing 6993334 relations and 4993334 ideals in 2000000 cliques Fri Jul 31 11:42:50 2020 commencing in-memory singleton removal Fri Jul 31 11:42:59 2020 begin with 144844718 relations and 124791976 unique ideals Fri Jul 31 11:44:17 2020 reduce to 144586844 relations and 119537615 ideals in 7 passes Fri Jul 31 11:44:17 2020 max relations containing the same ideal: 156 Fri Jul 31 18:21:50 2020 Fri Jul 31 18:21:50 2020 Fri Jul 31 18:21:50 2020 Msieve v. 1.53 (SVN 988M) Fri Jul 31 18:21:50 2020 random seeds: e09da0c7 70063f61 Fri Jul 31 18:21:50 2020 factoring 1606359584675616013312458957186821384439039859393603342359226713932989163691966486500040197493321080652691036768764931005063464633869431047360443471635832502341304720735547161959998832625816472685668151 (202 digits) Fri Jul 31 18:21:51 2020 searching for 15-digit factors Fri Jul 31 18:21:52 2020 commencing number field sieve (202-digit input) Fri Jul 31 18:21:52 2020 R0: 1569275433846670190958947355801916604025588861116008628224 Fri Jul 31 18:21:52 2020 R1: -2120895147045314119491609587512844743630072107 Fri Jul 31 18:21:52 2020 A0: 1 Fri Jul 31 18:21:52 2020 A1: -1 Fri Jul 31 18:21:52 2020 A2: 1 Fri Jul 31 18:21:52 2020 A3: -1 Fri Jul 31 18:21:52 2020 A4: 1 Fri Jul 31 18:21:52 2020 skew 1.00, size 2.709e-23, alpha 1.694, combined = 6.967e-14 rroots = 0 Fri Jul 31 18:21:52 2020 Fri Jul 31 18:21:52 2020 commencing relation filtering Fri Jul 31 18:21:52 2020 setting target matrix density to 120.0 Fri Jul 31 18:21:52 2020 estimated available RAM is 32768.0 MB Fri Jul 31 18:21:52 2020 commencing duplicate removal, pass 1 Fri Jul 31 18:22:37 2020 error -1 reading relation 7723714 [5523 more error lines] Fri Jul 31 18:55:01 2020 error -1 reading relation 339211438 Fri Jul 31 18:57:28 2020 skipped 2721 relations with b > 2^32 Fri Jul 31 18:57:28 2020 skipped 1632 relations with composite factors Fri Jul 31 18:57:28 2020 found 27674684 hash collisions in 364145585 relations Fri Jul 31 18:57:29 2020 commencing duplicate removal, pass 2 Fri Jul 31 19:12:28 2020 found 0 duplicates and 364145585 unique relations Fri Jul 31 19:12:28 2020 memory use: 1321.5 MB Fri Jul 31 19:12:29 2020 reading ideals above 289865728 Fri Jul 31 19:12:29 2020 commencing singleton removal, initial pass Fri Jul 31 19:37:46 2020 memory use: 6024.0 MB Fri Jul 31 19:37:47 2020 reading all ideals from disk Fri Jul 31 19:40:19 2020 memory use: 6424.0 MB Fri Jul 31 19:40:32 2020 commencing in-memory singleton removal Fri Jul 31 19:40:45 2020 begin with 364145585 relations and 299603505 unique ideals Fri Jul 31 19:43:45 2020 reduce to 238503272 relations and 161171435 ideals in 16 passes Fri Jul 31 19:43:45 2020 max relations containing the same ideal: 44 Fri Jul 31 19:44:13 2020 reading ideals above 720000 Fri Jul 31 19:44:14 2020 commencing singleton removal, initial pass Fri Jul 31 20:07:22 2020 memory use: 5512.0 MB Fri Jul 31 20:07:22 2020 reading all ideals from disk Fri Jul 31 20:11:11 2020 memory use: 9635.0 MB Fri Jul 31 20:11:32 2020 keeping 191489093 ideals with weight <= 200, target excess is 1141641 Fri Jul 31 20:11:56 2020 commencing in-memory singleton removal Fri Jul 31 20:12:13 2020 begin with 238503272 relations and 191489093 unique ideals Fri Jul 31 20:15:43 2020 reduce to 238447998 relations and 191433804 ideals in 11 passes Fri Jul 31 20:15:43 2020 max relations containing the same ideal: 200 Fri Jul 31 20:17:13 2020 removing 12850648 relations and 10850648 ideals in 2000000 cliques Fri Jul 31 20:17:18 2020 commencing in-memory singleton removal Fri Jul 31 20:17:34 2020 begin with 225597350 relations and 191433804 unique ideals Fri Jul 31 20:19:58 2020 reduce to 225040568 relations and 180019646 ideals in 8 passes Fri Jul 31 20:19:58 2020 max relations containing the same ideal: 200 Fri Jul 31 20:21:24 2020 removing 9688905 relations and 7688905 ideals in 2000000 cliques Fri Jul 31 20:21:28 2020 commencing in-memory singleton removal Fri Jul 31 20:21:44 2020 begin with 215351663 relations and 180019646 unique ideals Fri Jul 31 20:23:44 2020 reduce to 214999912 relations and 171975528 ideals in 7 passes Fri Jul 31 20:23:44 2020 max relations containing the same ideal: 195 Fri Jul 31 20:25:05 2020 removing 8704388 relations and 6704388 ideals in 2000000 cliques Fri Jul 31 20:25:09 2020 commencing in-memory singleton removal Fri Jul 31 20:25:24 2020 begin with 206295524 relations and 171975528 unique ideals Fri Jul 31 20:27:18 2020 reduce to 205995246 relations and 164967811 ideals in 7 passes Fri Jul 31 20:27:18 2020 max relations containing the same ideal: 192 Fri Jul 31 20:28:36 2020 removing 8161508 relations and 6161508 ideals in 2000000 cliques Fri Jul 31 20:28:40 2020 commencing in-memory singleton removal Fri Jul 31 20:28:54 2020 begin with 197833738 relations and 164967811 unique ideals Fri Jul 31 20:30:44 2020 reduce to 197556981 relations and 158526880 ideals in 7 passes Fri Jul 31 20:30:44 2020 max relations containing the same ideal: 188 Fri Jul 31 20:31:59 2020 removing 7812113 relations and 5812113 ideals in 2000000 cliques Fri Jul 31 20:32:02 2020 commencing in-memory singleton removal Fri Jul 31 20:32:16 2020 begin with 189744868 relations and 158526880 unique ideals Fri Jul 31 20:34:15 2020 reduce to 189482563 relations and 152449978 ideals in 8 passes Fri Jul 31 20:34:15 2020 max relations containing the same ideal: 183 Fri Jul 31 20:35:27 2020 removing 7561225 relations and 5561225 ideals in 2000000 cliques Fri Jul 31 20:35:30 2020 commencing in-memory singleton removal Fri Jul 31 20:35:43 2020 begin with 181921338 relations and 152449978 unique ideals Fri Jul 31 20:37:23 2020 reduce to 181666290 relations and 146631150 ideals in 7 passes Fri Jul 31 20:37:23 2020 max relations containing the same ideal: 178 Fri Jul 31 20:38:33 2020 removing 7385153 relations and 5385153 ideals in 2000000 cliques Fri Jul 31 20:38:36 2020 commencing in-memory singleton removal Fri Jul 31 20:38:48 2020 begin with 174281137 relations and 146631150 unique ideals Fri Jul 31 20:40:10 2020 reduce to 174031616 relations and 140993893 ideals in 6 passes Fri Jul 31 20:40:10 2020 max relations containing the same ideal: 173 Fri Jul 31 20:41:16 2020 removing 7243482 relations and 5243482 ideals in 2000000 cliques Fri Jul 31 20:41:20 2020 commencing in-memory singleton removal Fri Jul 31 20:41:31 2020 begin with 166788134 relations and 140993893 unique ideals Fri Jul 31 20:43:02 2020 reduce to 166538997 relations and 135498579 ideals in 7 passes Fri Jul 31 20:43:02 2020 max relations containing the same ideal: 169 Fri Jul 31 20:44:07 2020 removing 7140311 relations and 5140311 ideals in 2000000 cliques Fri Jul 31 20:44:10 2020 commencing in-memory singleton removal Fri Jul 31 20:44:21 2020 begin with 159398686 relations and 135498579 unique ideals Fri Jul 31 20:45:35 2020 reduce to 159149412 relations and 130106258 ideals in 6 passes Fri Jul 31 20:45:35 2020 max relations containing the same ideal: 165 Fri Jul 31 20:46:37 2020 removing 7059593 relations and 5059593 ideals in 2000000 cliques Fri Jul 31 20:46:40 2020 commencing in-memory singleton removal Fri Jul 31 20:46:50 2020 begin with 152089819 relations and 130106258 unique ideals Fri Jul 31 20:48:24 2020 reduce to 151838052 relations and 124791976 ideals in 8 passes Fri Jul 31 20:48:24 2020 max relations containing the same ideal: 160 Fri Jul 31 20:49:24 2020 removing 6993334 relations and 4993334 ideals in 2000000 cliques Fri Jul 31 20:49:27 2020 commencing in-memory singleton removal Fri Jul 31 20:49:36 2020 begin with 144844718 relations and 124791976 unique ideals Fri Jul 31 20:50:54 2020 reduce to 144586844 relations and 119537615 ideals in 7 passes Fri Jul 31 20:50:54 2020 max relations containing the same ideal: 156 Fri Jul 31 20:51:50 2020 removing 6948528 relations and 4948528 ideals in 2000000 cliques Fri Jul 31 20:51:53 2020 commencing in-memory singleton removal Fri Jul 31 20:52:03 2020 begin with 137638316 relations and 119537615 unique ideals Fri Jul 31 20:53:16 2020 reduce to 137374032 relations and 114321436 ideals in 7 passes Fri Jul 31 20:53:16 2020 max relations containing the same ideal: 149 Fri Jul 31 20:54:10 2020 removing 6913250 relations and 4913250 ideals in 2000000 cliques Fri Jul 31 20:54:12 2020 commencing in-memory singleton removal Fri Jul 31 20:54:21 2020 begin with 130460782 relations and 114321436 unique ideals Fri Jul 31 20:55:21 2020 reduce to 130187952 relations and 109131832 ideals in 6 passes Fri Jul 31 20:55:21 2020 max relations containing the same ideal: 145 Fri Jul 31 20:56:12 2020 removing 6888620 relations and 4888620 ideals in 2000000 cliques Fri Jul 31 20:56:15 2020 commencing in-memory singleton removal Fri Jul 31 20:56:23 2020 begin with 123299332 relations and 109131832 unique ideals Fri Jul 31 20:57:30 2020 reduce to 123016849 relations and 103956843 ideals in 7 passes Fri Jul 31 20:57:30 2020 max relations containing the same ideal: 139 Fri Jul 31 20:58:18 2020 removing 6880550 relations and 4880550 ideals in 2000000 cliques Fri Jul 31 20:58:21 2020 commencing in-memory singleton removal Fri Jul 31 20:58:29 2020 begin with 116136299 relations and 103956843 unique ideals Fri Jul 31 20:59:30 2020 reduce to 115841507 relations and 98777093 ideals in 7 passes Fri Jul 31 20:59:30 2020 max relations containing the same ideal: 131 Fri Jul 31 21:00:15 2020 removing 6876935 relations and 4876935 ideals in 2000000 cliques Fri Jul 31 21:00:18 2020 commencing in-memory singleton removal Fri Jul 31 21:00:25 2020 begin with 108964572 relations and 98777093 unique ideals Fri Jul 31 21:01:22 2020 reduce to 108654718 relations and 93585336 ideals in 7 passes Fri Jul 31 21:01:22 2020 max relations containing the same ideal: 128 Fri Jul 31 21:02:05 2020 removing 6885811 relations and 4885811 ideals in 2000000 cliques Fri Jul 31 21:02:08 2020 commencing in-memory singleton removal Fri Jul 31 21:02:14 2020 begin with 101768907 relations and 93585336 unique ideals Fri Jul 31 21:03:00 2020 reduce to 101439654 relations and 88364859 ideals in 6 passes Fri Jul 31 21:03:00 2020 max relations containing the same ideal: 122 Fri Jul 31 21:03:40 2020 removing 6906609 relations and 4906609 ideals in 2000000 cliques Fri Jul 31 21:03:43 2020 commencing in-memory singleton removal Fri Jul 31 21:03:49 2020 begin with 94533045 relations and 88364859 unique ideals Fri Jul 31 21:04:38 2020 reduce to 94182602 relations and 83101598 ideals in 7 passes Fri Jul 31 21:04:38 2020 max relations containing the same ideal: 113 Fri Jul 31 21:05:15 2020 removing 6936325 relations and 4936325 ideals in 2000000 cliques Fri Jul 31 21:05:18 2020 commencing in-memory singleton removal Fri Jul 31 21:05:23 2020 begin with 87246277 relations and 83101598 unique ideals Fri Jul 31 21:06:08 2020 reduce to 86864809 relations and 77776852 ideals in 7 passes Fri Jul 31 21:06:08 2020 max relations containing the same ideal: 109 Fri Jul 31 21:06:42 2020 removing 6978430 relations and 4978430 ideals in 2000000 cliques Fri Jul 31 21:06:44 2020 commencing in-memory singleton removal Fri Jul 31 21:06:49 2020 begin with 79886379 relations and 77776852 unique ideals Fri Jul 31 21:07:30 2020 reduce to 79472310 relations and 72376119 ideals in 7 passes Fri Jul 31 21:07:30 2020 max relations containing the same ideal: 103 Fri Jul 31 21:08:01 2020 removing 7033546 relations and 5033546 ideals in 2000000 cliques Fri Jul 31 21:08:03 2020 commencing in-memory singleton removal Fri Jul 31 21:08:08 2020 begin with 72438764 relations and 72376119 unique ideals Fri Jul 31 21:08:49 2020 reduce to 71977621 relations and 66871444 ideals in 8 passes Fri Jul 31 21:08:49 2020 max relations containing the same ideal: 96 Fri Jul 31 21:09:18 2020 removing 7105745 relations and 5105745 ideals in 2000000 cliques Fri Jul 31 21:09:20 2020 commencing in-memory singleton removal Fri Jul 31 21:09:24 2020 begin with 64871876 relations and 66871444 unique ideals Fri Jul 31 21:09:56 2020 reduce to 64347591 relations and 61228899 ideals in 7 passes Fri Jul 31 21:09:56 2020 max relations containing the same ideal: 88 Fri Jul 31 21:10:22 2020 removing 6598746 relations and 4804358 ideals in 1794388 cliques Fri Jul 31 21:10:24 2020 commencing in-memory singleton removal Fri Jul 31 21:10:28 2020 begin with 57748845 relations and 61228899 unique ideals Fri Jul 31 21:11:00 2020 reduce to 57235203 relations and 55898459 ideals in 8 passes Fri Jul 31 21:11:00 2020 max relations containing the same ideal: 82 Fri Jul 31 21:11:24 2020 removing 99096 relations and 86656 ideals in 12440 cliques Fri Jul 31 21:11:25 2020 commencing in-memory singleton removal Fri Jul 31 21:11:28 2020 begin with 57136107 relations and 55898459 unique ideals Fri Jul 31 21:11:44 2020 reduce to 57136020 relations and 55811716 ideals in 4 passes Fri Jul 31 21:11:44 2020 max relations containing the same ideal: 82 Fri Jul 31 21:11:52 2020 relations with 0 large ideals: 89676 Fri Jul 31 21:11:52 2020 relations with 1 large ideals: 21923 Fri Jul 31 21:11:52 2020 relations with 2 large ideals: 271978 Fri Jul 31 21:11:52 2020 relations with 3 large ideals: 1714585 Fri Jul 31 21:11:52 2020 relations with 4 large ideals: 5937815 Fri Jul 31 21:11:52 2020 relations with 5 large ideals: 14045683 Fri Jul 31 21:11:52 2020 relations with 6 large ideals: 15123649 Fri Jul 31 21:11:52 2020 relations with 7+ large ideals: 19930711 Fri Jul 31 21:11:52 2020 commencing 2-way merge Fri Jul 31 21:12:25 2020 reduce to 37392757 relation sets and 36068453 unique ideals Fri Jul 31 21:12:25 2020 commencing full merge Fri Jul 31 21:35:12 2020 memory use: 1675.5 MB Fri Jul 31 21:35:12 2020 found 211123 cycles, need 8096341 Fri Jul 31 21:35:12 2020 too few cycles, matrix probably cannot build Fri Jul 31 21:48:41 2020 Fri Jul 31 21:48:41 2020 Fri Jul 31 21:48:41 2020 Msieve v. 1.53 (SVN 988M) Fri Jul 31 21:48:41 2020 random seeds: 06912db6 2a056126 Fri Jul 31 21:48:41 2020 factoring 1606359584675616013312458957186821384439039859393603342359226713932989163691966486500040197493321080652691036768764931005063464633869431047360443471635832502341304720735547161959998832625816472685668151 (202 digits) Fri Jul 31 21:48:41 2020 searching for 15-digit factors Fri Jul 31 21:48:42 2020 commencing number field sieve (202-digit input) Fri Jul 31 21:48:42 2020 R0: 1569275433846670190958947355801916604025588861116008628224 Fri Jul 31 21:48:42 2020 R1: -2120895147045314119491609587512844743630072107 Fri Jul 31 21:48:42 2020 A0: 1 Fri Jul 31 21:48:42 2020 A1: -1 Fri Jul 31 21:48:42 2020 A2: 1 Fri Jul 31 21:48:42 2020 A3: -1 Fri Jul 31 21:48:42 2020 A4: 1 Fri Jul 31 21:48:42 2020 skew 1.00, size 2.709e-23, alpha 1.694, combined = 6.967e-14 rroots = 0 Fri Jul 31 21:48:42 2020 Fri Jul 31 21:48:42 2020 commencing relation filtering Fri Jul 31 21:48:42 2020 setting target matrix density to 110.0 Fri Jul 31 21:48:42 2020 estimated available RAM is 32768.0 MB Fri Jul 31 21:48:42 2020 commencing duplicate removal, pass 1 Fri Jul 31 21:49:27 2020 error -1 reading relation 7723714 [5523 more error lines] Fri Jul 31 22:21:41 2020 error -1 reading relation 339211438 Fri Jul 31 22:24:07 2020 skipped 2721 relations with b > 2^32 Fri Jul 31 22:24:07 2020 skipped 1632 relations with composite factors Fri Jul 31 22:24:07 2020 found 27674684 hash collisions in 364145585 relations Fri Jul 31 22:24:07 2020 commencing duplicate removal, pass 2 Fri Jul 31 22:39:07 2020 found 0 duplicates and 364145585 unique relations Fri Jul 31 22:39:07 2020 memory use: 1321.5 MB Fri Jul 31 22:39:07 2020 reading ideals above 289865728 Fri Jul 31 22:39:07 2020 commencing singleton removal, initial pass Fri Jul 31 23:04:23 2020 memory use: 6024.0 MB Fri Jul 31 23:04:24 2020 reading all ideals from disk Fri Jul 31 23:06:56 2020 memory use: 6424.0 MB Fri Jul 31 23:07:09 2020 commencing in-memory singleton removal Fri Jul 31 23:07:21 2020 begin with 364145585 relations and 299603505 unique ideals Fri Jul 31 23:10:11 2020 reduce to 238503272 relations and 161171435 ideals in 16 passes Fri Jul 31 23:10:11 2020 max relations containing the same ideal: 44 Fri Jul 31 23:10:39 2020 reading ideals above 720000 Fri Jul 31 23:10:39 2020 commencing singleton removal, initial pass Fri Jul 31 23:33:48 2020 memory use: 5512.0 MB Fri Jul 31 23:33:48 2020 reading all ideals from disk Fri Jul 31 23:37:36 2020 memory use: 9635.0 MB Fri Jul 31 23:37:58 2020 keeping 191489093 ideals with weight <= 200, target excess is 1141641 Fri Jul 31 23:38:22 2020 commencing in-memory singleton removal Fri Jul 31 23:38:39 2020 begin with 238503272 relations and 191489093 unique ideals Fri Jul 31 23:42:08 2020 reduce to 238447998 relations and 191433804 ideals in 11 passes Fri Jul 31 23:42:08 2020 max relations containing the same ideal: 200 Fri Jul 31 23:43:39 2020 removing 12850648 relations and 10850648 ideals in 2000000 cliques Fri Jul 31 23:43:44 2020 commencing in-memory singleton removal Fri Jul 31 23:44:00 2020 begin with 225597350 relations and 191433804 unique ideals Fri Jul 31 23:46:24 2020 reduce to 225040568 relations and 180019646 ideals in 8 passes Fri Jul 31 23:46:24 2020 max relations containing the same ideal: 200 Fri Jul 31 23:47:50 2020 removing 9688905 relations and 7688905 ideals in 2000000 cliques Fri Jul 31 23:47:54 2020 commencing in-memory singleton removal Fri Jul 31 23:48:09 2020 begin with 215351663 relations and 180019646 unique ideals Fri Jul 31 23:50:10 2020 reduce to 214999912 relations and 171975528 ideals in 7 passes Fri Jul 31 23:50:10 2020 max relations containing the same ideal: 195 Fri Jul 31 23:51:31 2020 removing 8704388 relations and 6704388 ideals in 2000000 cliques Fri Jul 31 23:51:35 2020 commencing in-memory singleton removal Fri Jul 31 23:51:50 2020 begin with 206295524 relations and 171975528 unique ideals Fri Jul 31 23:53:45 2020 reduce to 205995246 relations and 164967811 ideals in 7 passes Fri Jul 31 23:53:45 2020 max relations containing the same ideal: 192 Fri Jul 31 23:55:04 2020 removing 8161508 relations and 6161508 ideals in 2000000 cliques Fri Jul 31 23:55:08 2020 commencing in-memory singleton removal Fri Jul 31 23:55:22 2020 begin with 197833738 relations and 164967811 unique ideals Fri Jul 31 23:57:12 2020 reduce to 197556981 relations and 158526880 ideals in 7 passes Fri Jul 31 23:57:12 2020 max relations containing the same ideal: 188 Fri Jul 31 23:58:27 2020 removing 7812113 relations and 5812113 ideals in 2000000 cliques Fri Jul 31 23:58:31 2020 commencing in-memory singleton removal Fri Jul 31 23:58:44 2020 begin with 189744868 relations and 158526880 unique ideals Sat Aug 1 00:00:44 2020 reduce to 189482563 relations and 152449978 ideals in 8 passes Sat Aug 1 00:00:44 2020 max relations containing the same ideal: 183 Sat Aug 1 00:01:57 2020 removing 7561225 relations and 5561225 ideals in 2000000 cliques Sat Aug 1 00:02:00 2020 commencing in-memory singleton removal Sat Aug 1 00:02:13 2020 begin with 181921338 relations and 152449978 unique ideals Sat Aug 1 00:03:53 2020 reduce to 181666290 relations and 146631150 ideals in 7 passes Sat Aug 1 00:03:53 2020 max relations containing the same ideal: 178 Sat Aug 1 00:05:03 2020 removing 7385153 relations and 5385153 ideals in 2000000 cliques Sat Aug 1 00:05:07 2020 commencing in-memory singleton removal Sat Aug 1 00:05:19 2020 begin with 174281137 relations and 146631150 unique ideals Sat Aug 1 00:06:41 2020 reduce to 174031616 relations and 140993893 ideals in 6 passes Sat Aug 1 00:06:41 2020 max relations containing the same ideal: 173 Sat Aug 1 00:07:48 2020 removing 7243482 relations and 5243482 ideals in 2000000 cliques Sat Aug 1 00:07:51 2020 commencing in-memory singleton removal Sat Aug 1 00:08:03 2020 begin with 166788134 relations and 140993893 unique ideals Sat Aug 1 00:09:33 2020 reduce to 166538997 relations and 135498579 ideals in 7 passes Sat Aug 1 00:09:33 2020 max relations containing the same ideal: 169 Sat Aug 1 00:10:37 2020 removing 7140311 relations and 5140311 ideals in 2000000 cliques Sat Aug 1 00:10:41 2020 commencing in-memory singleton removal Sat Aug 1 00:10:52 2020 begin with 159398686 relations and 135498579 unique ideals Sat Aug 1 00:12:06 2020 reduce to 159149412 relations and 130106258 ideals in 6 passes Sat Aug 1 00:12:06 2020 max relations containing the same ideal: 165 Sat Aug 1 00:13:07 2020 removing 7059593 relations and 5059593 ideals in 2000000 cliques Sat Aug 1 00:13:10 2020 commencing in-memory singleton removal Sat Aug 1 00:13:21 2020 begin with 152089819 relations and 130106258 unique ideals Sat Aug 1 00:14:54 2020 reduce to 151838052 relations and 124791976 ideals in 8 passes Sat Aug 1 00:14:54 2020 max relations containing the same ideal: 160 Sat Aug 1 00:15:53 2020 removing 6993334 relations and 4993334 ideals in 2000000 cliques Sat Aug 1 00:15:56 2020 commencing in-memory singleton removal Sat Aug 1 00:16:06 2020 begin with 144844718 relations and 124791976 unique ideals Sat Aug 1 00:17:24 2020 reduce to 144586844 relations and 119537615 ideals in 7 passes Sat Aug 1 00:17:24 2020 max relations containing the same ideal: 156 Sat Aug 1 00:18:20 2020 removing 6948528 relations and 4948528 ideals in 2000000 cliques Sat Aug 1 00:18:23 2020 commencing in-memory singleton removal Sat Aug 1 00:18:32 2020 begin with 137638316 relations and 119537615 unique ideals Sat Aug 1 00:19:46 2020 reduce to 137374032 relations and 114321436 ideals in 7 passes Sat Aug 1 00:19:46 2020 max relations containing the same ideal: 149 Sat Aug 1 00:20:40 2020 removing 6913250 relations and 4913250 ideals in 2000000 cliques Sat Aug 1 00:20:42 2020 commencing in-memory singleton removal Sat Aug 1 00:20:51 2020 begin with 130460782 relations and 114321436 unique ideals Sat Aug 1 00:21:52 2020 reduce to 130187952 relations and 109131832 ideals in 6 passes Sat Aug 1 00:21:52 2020 max relations containing the same ideal: 145 Sat Aug 1 00:22:42 2020 removing 6888620 relations and 4888620 ideals in 2000000 cliques Sat Aug 1 00:22:45 2020 commencing in-memory singleton removal Sat Aug 1 00:22:53 2020 begin with 123299332 relations and 109131832 unique ideals Sat Aug 1 00:23:59 2020 reduce to 123016849 relations and 103956843 ideals in 7 passes Sat Aug 1 00:23:59 2020 max relations containing the same ideal: 139 Sat Aug 1 00:24:46 2020 removing 6880550 relations and 4880550 ideals in 2000000 cliques Sat Aug 1 00:24:49 2020 commencing in-memory singleton removal Sat Aug 1 00:24:57 2020 begin with 116136299 relations and 103956843 unique ideals Sat Aug 1 00:25:58 2020 reduce to 115841507 relations and 98777093 ideals in 7 passes Sat Aug 1 00:25:58 2020 max relations containing the same ideal: 131 Sat Aug 1 00:26:43 2020 removing 6876935 relations and 4876935 ideals in 2000000 cliques Sat Aug 1 00:26:46 2020 commencing in-memory singleton removal Sat Aug 1 00:26:53 2020 begin with 108964572 relations and 98777093 unique ideals Sat Aug 1 00:27:50 2020 reduce to 108654718 relations and 93585336 ideals in 7 passes Sat Aug 1 00:27:50 2020 max relations containing the same ideal: 128 Sat Aug 1 00:28:33 2020 removing 6885811 relations and 4885811 ideals in 2000000 cliques Sat Aug 1 00:28:36 2020 commencing in-memory singleton removal Sat Aug 1 00:28:43 2020 begin with 101768907 relations and 93585336 unique ideals Sat Aug 1 00:29:28 2020 reduce to 101439654 relations and 88364859 ideals in 6 passes Sat Aug 1 00:29:28 2020 max relations containing the same ideal: 122 Sat Aug 1 00:30:08 2020 removing 6906609 relations and 4906609 ideals in 2000000 cliques Sat Aug 1 00:30:10 2020 commencing in-memory singleton removal Sat Aug 1 00:30:16 2020 begin with 94533045 relations and 88364859 unique ideals Sat Aug 1 00:31:06 2020 reduce to 94182602 relations and 83101598 ideals in 7 passes Sat Aug 1 00:31:06 2020 max relations containing the same ideal: 113 Sat Aug 1 00:31:43 2020 removing 6936325 relations and 4936325 ideals in 2000000 cliques Sat Aug 1 00:31:46 2020 commencing in-memory singleton removal Sat Aug 1 00:31:51 2020 begin with 87246277 relations and 83101598 unique ideals Sat Aug 1 00:32:36 2020 reduce to 86864809 relations and 77776852 ideals in 7 passes Sat Aug 1 00:32:36 2020 max relations containing the same ideal: 109 Sat Aug 1 00:33:10 2020 removing 6978430 relations and 4978430 ideals in 2000000 cliques Sat Aug 1 00:33:13 2020 commencing in-memory singleton removal Sat Aug 1 00:33:18 2020 begin with 79886379 relations and 77776852 unique ideals Sat Aug 1 00:33:59 2020 reduce to 79472310 relations and 72376119 ideals in 7 passes Sat Aug 1 00:33:59 2020 max relations containing the same ideal: 103 Sat Aug 1 00:34:30 2020 removing 7033546 relations and 5033546 ideals in 2000000 cliques Sat Aug 1 00:34:33 2020 commencing in-memory singleton removal Sat Aug 1 00:34:37 2020 begin with 72438764 relations and 72376119 unique ideals Sat Aug 1 00:35:19 2020 reduce to 71977621 relations and 66871444 ideals in 8 passes Sat Aug 1 00:35:19 2020 max relations containing the same ideal: 96 Sat Aug 1 00:35:48 2020 removing 7105745 relations and 5105745 ideals in 2000000 cliques Sat Aug 1 00:35:50 2020 commencing in-memory singleton removal Sat Aug 1 00:35:54 2020 begin with 64871876 relations and 66871444 unique ideals Sat Aug 1 00:36:26 2020 reduce to 64347591 relations and 61228899 ideals in 7 passes Sat Aug 1 00:36:26 2020 max relations containing the same ideal: 88 Sat Aug 1 00:36:52 2020 removing 6598746 relations and 4804358 ideals in 1794388 cliques Sat Aug 1 00:36:54 2020 commencing in-memory singleton removal Sat Aug 1 00:36:58 2020 begin with 57748845 relations and 61228899 unique ideals Sat Aug 1 00:37:30 2020 reduce to 57235203 relations and 55898459 ideals in 8 passes Sat Aug 1 00:37:30 2020 max relations containing the same ideal: 82 Sat Aug 1 00:37:53 2020 removing 99096 relations and 86656 ideals in 12440 cliques Sat Aug 1 00:37:55 2020 commencing in-memory singleton removal Sat Aug 1 00:37:58 2020 begin with 57136107 relations and 55898459 unique ideals Sat Aug 1 00:38:14 2020 reduce to 57136020 relations and 55811716 ideals in 4 passes Sat Aug 1 00:38:14 2020 max relations containing the same ideal: 82 Sat Aug 1 00:38:21 2020 relations with 0 large ideals: 89676 Sat Aug 1 00:38:21 2020 relations with 1 large ideals: 21923 Sat Aug 1 00:38:21 2020 relations with 2 large ideals: 271978 Sat Aug 1 00:38:21 2020 relations with 3 large ideals: 1714585 Sat Aug 1 00:38:21 2020 relations with 4 large ideals: 5937815 Sat Aug 1 00:38:21 2020 relations with 5 large ideals: 14045683 Sat Aug 1 00:38:21 2020 relations with 6 large ideals: 15123649 Sat Aug 1 00:38:21 2020 relations with 7+ large ideals: 19930711 Sat Aug 1 00:38:21 2020 commencing 2-way merge Sat Aug 1 00:38:53 2020 reduce to 37392757 relation sets and 36068453 unique ideals Sat Aug 1 00:38:54 2020 commencing full merge Sat Aug 1 00:51:50 2020 memory use: 4466.2 MB Sat Aug 1 00:51:59 2020 found 16924215 cycles, need 16880653 Sat Aug 1 00:52:00 2020 weight of 16880653 cycles is about 1857333517 (110.03/cycle) Sat Aug 1 00:52:00 2020 distribution of cycle lengths: Sat Aug 1 00:52:00 2020 1 relations: 863094 Sat Aug 1 00:52:00 2020 2 relations: 1078554 Sat Aug 1 00:52:00 2020 3 relations: 1203000 Sat Aug 1 00:52:00 2020 4 relations: 1228546 Sat Aug 1 00:52:00 2020 5 relations: 1224078 Sat Aug 1 00:52:00 2020 6 relations: 1206351 Sat Aug 1 00:52:00 2020 7 relations: 1172177 Sat Aug 1 00:52:00 2020 8 relations: 1117244 Sat Aug 1 00:52:00 2020 9 relations: 1052942 Sat Aug 1 00:52:00 2020 10+ relations: 6734667 Sat Aug 1 00:52:00 2020 heaviest cycle: 28 relations Sat Aug 1 00:52:08 2020 commencing cycle optimization Sat Aug 1 00:52:48 2020 start with 149458525 relations Sat Aug 1 00:59:20 2020 pruned 6634655 relations Sat Aug 1 00:59:20 2020 memory use: 3906.6 MB Sat Aug 1 00:59:20 2020 distribution of cycle lengths: Sat Aug 1 00:59:20 2020 1 relations: 863094 Sat Aug 1 00:59:20 2020 2 relations: 1101440 Sat Aug 1 00:59:20 2020 3 relations: 1251745 Sat Aug 1 00:59:20 2020 4 relations: 1276375 Sat Aug 1 00:59:20 2020 5 relations: 1283394 Sat Aug 1 00:59:20 2020 6 relations: 1262919 Sat Aug 1 00:59:20 2020 7 relations: 1230608 Sat Aug 1 00:59:20 2020 8 relations: 1167920 Sat Aug 1 00:59:20 2020 9 relations: 1099068 Sat Aug 1 00:59:20 2020 10+ relations: 6344090 Sat Aug 1 00:59:20 2020 heaviest cycle: 28 relations Sat Aug 1 01:00:15 2020 RelProcTime: 11493 Sat Aug 1 01:00:17 2020 Sat Aug 1 01:00:17 2020 commencing linear algebra Sat Aug 1 01:00:20 2020 read 16880653 cycles Sat Aug 1 01:00:59 2020 cycles contain 56375221 unique relations Sat Aug 1 01:16:17 2020 read 56375221 relations Sat Aug 1 01:18:18 2020 using 20 quadratic characters above 4294917295 Sat Aug 1 01:21:29 2020 building initial matrix Sat Aug 1 01:30:04 2020 memory use: 6938.8 MB Sat Aug 1 01:33:10 2020 read 16880653 cycles Sat Aug 1 01:33:12 2020 matrix is 16880476 x 16880653 (7387.0 MB) with weight 2115904958 (125.34/col) Sat Aug 1 01:33:12 2020 sparse part has weight 1750773894 (103.71/col) Sat Aug 1 01:36:12 2020 filtering completed in 2 passes Sat Aug 1 01:36:15 2020 matrix is 16880055 x 16880232 (7387.0 MB) with weight 2115891690 (125.35/col) Sat Aug 1 01:36:15 2020 sparse part has weight 1750769938 (103.72/col) Sat Aug 1 01:39:50 2020 matrix starts at (0, 0) Sat Aug 1 01:39:52 2020 matrix is 16880055 x 16880232 (7387.0 MB) with weight 2115891690 (125.35/col) Sat Aug 1 01:39:52 2020 sparse part has weight 1750769938 (103.72/col) Sat Aug 1 01:39:52 2020 saving the first 48 matrix rows for later Sat Aug 1 01:39:54 2020 matrix includes 64 packed rows Sat Aug 1 01:39:55 2020 matrix is 16880007 x 16880232 (7081.1 MB) with weight 1808191165 (107.12/col) Sat Aug 1 01:39:55 2020 sparse part has weight 1687458385 (99.97/col) Sat Aug 1 01:39:55 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB Sat Aug 1 01:41:30 2020 commencing Lanczos iteration (16 threads) Sat Aug 1 01:41:30 2020 memory use: 6074.5 MB Sat Aug 1 01:41:51 2020 linear algebra at 0.0%, ETA 61h48m Sat Aug 1 01:41:57 2020 checkpointing every 290000 dimensions Mon Aug 3 13:58:14 2020 lanczos halted after 266947 iterations (dim = 16880002) Mon Aug 3 13:58:28 2020 recovered 34 nontrivial dependencies Mon Aug 3 13:58:34 2020 BLanczosTime: 219497 Mon Aug 3 13:58:34 2020 Mon Aug 3 13:58:34 2020 commencing square root phase Mon Aug 3 13:58:34 2020 handling dependencies 1 to 64 Mon Aug 3 13:58:34 2020 reading relations for dependency 1 Mon Aug 3 13:58:49 2020 read 8443679 cycles Mon Aug 3 13:59:06 2020 cycles contain 28187262 unique relations Mon Aug 3 14:14:17 2020 read 28187262 relations Mon Aug 3 14:16:05 2020 multiplying 28187262 relations Mon Aug 3 14:24:13 2020 multiply complete, coefficients have about 731.65 million bits Mon Aug 3 14:24:15 2020 initial square root is modulo 3664657 Mon Aug 3 14:33:07 2020 sqrtTime: 2073 Mon Aug 3 14:33:07 2020 p99 factor: 506032995406068462232861183129512506423127070479405590186142092526291906018531372038824549348731451 Mon Aug 3 14:33:07 2020 p103 factor: 3174416686774714188009650637393193396634269944462565416544095180944297595995041109279654016866286971701 Mon Aug 3 14:33:07 2020 elapsed time 64:44:26