462,589,821 Pending 9,752,349 Found 338276388 unique, 121242678 duplicate, and 4 bad relations. Largest dimension used: 1191 of 2200 Average dimension used: 1032.4 of 2200 Mon Jun 12 15:57:20 2023 Mon Jun 12 15:57:20 2023 Mon Jun 12 15:57:20 2023 Msieve v. 1.54 (SVN unknown) Mon Jun 12 15:57:20 2023 random seeds: ee1fca7a fe3fc317 Mon Jun 12 15:57:20 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits) Mon Jun 12 15:57:21 2023 no P-1/P+1/ECM available, skipping Mon Jun 12 15:57:21 2023 commencing number field sieve (239-digit input) Mon Jun 12 15:57:21 2023 R0: -19088056323407827075424486287615602692670648963 Mon Jun 12 15:57:21 2023 R1: 1 Mon Jun 12 15:57:21 2023 A0: 1 Mon Jun 12 15:57:21 2023 A1: 0 Mon Jun 12 15:57:21 2023 A2: 0 Mon Jun 12 15:57:21 2023 A3: -3 Mon Jun 12 15:57:21 2023 A4: 0 Mon Jun 12 15:57:21 2023 A5: 0 Mon Jun 12 15:57:21 2023 A6: 3 Mon Jun 12 15:57:21 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0 Mon Jun 12 15:57:21 2023 Mon Jun 12 15:57:21 2023 commencing relation filtering Mon Jun 12 15:57:21 2023 setting target matrix density to 140.0 Mon Jun 12 15:57:21 2023 estimated available RAM is 257376.4 MB Mon Jun 12 15:57:22 2023 commencing duplicate removal, pass 1 Mon Jun 12 16:45:53 2023 skipped 2671 relations with b > 2^32 Mon Jun 12 16:45:53 2023 skipped 1 relations with composite factors Mon Jun 12 16:45:53 2023 found 26560368 hash collisions in 344224288 relations Mon Jun 12 16:46:05 2023 added 812699 free relations Mon Jun 12 16:46:05 2023 commencing duplicate removal, pass 2 Mon Jun 12 16:51:52 2023 found 2336827 duplicates and 342700160 unique relations Mon Jun 12 16:51:52 2023 memory use: 1257.5 MB Mon Jun 12 16:51:52 2023 reading ideals above 720000 Mon Jun 12 16:51:52 2023 commencing singleton removal, initial pass Mon Jun 12 17:41:33 2023 memory use: 11024.0 MB Mon Jun 12 17:41:34 2023 reading all ideals from disk Mon Jun 12 17:42:52 2023 memory use: 14654.4 MB Mon Jun 12 17:43:40 2023 keeping 338839471 ideals with weight <= 200, target excess is 1759082 Mon Jun 12 17:44:41 2023 commencing in-memory singleton removal Mon Jun 12 17:45:14 2023 begin with 342700160 relations and 338839471 unique ideals Mon Jun 12 17:51:53 2023 reduce to 203077632 relations and 183511448 ideals in 17 passes Mon Jun 12 17:51:53 2023 max relations containing the same ideal: 154 Mon Jun 12 17:53:39 2023 removing 15864701 relations and 13864701 ideals in 2000000 cliques Mon Jun 12 17:53:49 2023 commencing in-memory singleton removal Mon Jun 12 17:54:07 2023 begin with 187212931 relations and 183511448 unique ideals Mon Jun 12 17:57:23 2023 reduce to 186128031 relations and 168546613 ideals in 9 passes Mon Jun 12 17:57:23 2023 max relations containing the same ideal: 143 Mon Jun 12 17:59:43 2023 removing 11944099 relations and 9944099 ideals in 2000000 cliques Mon Jun 12 17:59:55 2023 commencing in-memory singleton removal Mon Jun 12 18:00:16 2023 begin with 174183932 relations and 168546613 unique ideals Mon Jun 12 18:04:14 2023 reduce to 173497560 relations and 157908272 ideals in 10 passes Mon Jun 12 18:04:14 2023 max relations containing the same ideal: 139 Mon Jun 12 18:05:52 2023 removing 10744527 relations and 8744527 ideals in 2000000 cliques Mon Jun 12 18:06:01 2023 commencing in-memory singleton removal Mon Jun 12 18:06:16 2023 begin with 162753033 relations and 157908272 unique ideals Mon Jun 12 18:08:50 2023 reduce to 162154785 relations and 148558718 ideals in 9 passes Mon Jun 12 18:08:50 2023 max relations containing the same ideal: 131 Mon Jun 12 18:10:15 2023 removing 10132382 relations and 8132382 ideals in 2000000 cliques Mon Jun 12 18:10:23 2023 commencing in-memory singleton removal Mon Jun 12 18:10:38 2023 begin with 152022403 relations and 148558718 unique ideals Mon Jun 12 18:13:42 2023 reduce to 151456911 relations and 139854005 ideals in 9 passes Mon Jun 12 18:13:42 2023 max relations containing the same ideal: 124 Mon Jun 12 18:15:25 2023 removing 9750672 relations and 7750672 ideals in 2000000 cliques Mon Jun 12 18:15:33 2023 commencing in-memory singleton removal Mon Jun 12 18:15:47 2023 begin with 141706239 relations and 139854005 unique ideals Mon Jun 12 18:17:37 2023 reduce to 141146565 relations and 131536892 ideals in 8 passes Mon Jun 12 18:17:37 2023 max relations containing the same ideal: 120 Mon Jun 12 18:18:46 2023 removing 9522016 relations and 7522016 ideals in 2000000 cliques Mon Jun 12 18:18:54 2023 commencing in-memory singleton removal Mon Jun 12 18:19:05 2023 begin with 131624549 relations and 131536892 unique ideals Mon Jun 12 18:21:10 2023 reduce to 131056556 relations and 123439559 ideals in 8 passes Mon Jun 12 18:21:10 2023 max relations containing the same ideal: 113 Mon Jun 12 18:22:39 2023 removing 9378273 relations and 7378273 ideals in 2000000 cliques Mon Jun 12 18:22:46 2023 commencing in-memory singleton removal Mon Jun 12 18:22:58 2023 begin with 121678283 relations and 123439559 unique ideals Mon Jun 12 18:25:17 2023 reduce to 121085916 relations and 115460958 ideals in 9 passes Mon Jun 12 18:25:17 2023 max relations containing the same ideal: 109 Mon Jun 12 18:26:40 2023 removing 9293114 relations and 7293114 ideals in 2000000 cliques Mon Jun 12 18:26:47 2023 commencing in-memory singleton removal Mon Jun 12 18:26:58 2023 begin with 111792802 relations and 115460958 unique ideals Mon Jun 12 18:29:01 2023 reduce to 111165708 relations and 107531511 ideals in 9 passes Mon Jun 12 18:29:01 2023 max relations containing the same ideal: 101 Mon Jun 12 18:30:17 2023 removing 7733019 relations and 6139358 ideals in 1593661 cliques Mon Jun 12 18:30:23 2023 commencing in-memory singleton removal Mon Jun 12 18:30:33 2023 begin with 103432689 relations and 107531511 unique ideals Mon Jun 12 18:32:02 2023 reduce to 102974643 relations and 100928125 ideals in 8 passes Mon Jun 12 18:32:02 2023 max relations containing the same ideal: 95 Mon Jun 12 18:33:16 2023 relations with 0 large ideals: 44932 Mon Jun 12 18:33:16 2023 relations with 1 large ideals: 26134 Mon Jun 12 18:33:16 2023 relations with 2 large ideals: 370685 Mon Jun 12 18:33:16 2023 relations with 3 large ideals: 2432517 Mon Jun 12 18:33:16 2023 relations with 4 large ideals: 8812106 Mon Jun 12 18:33:16 2023 relations with 5 large ideals: 19436563 Mon Jun 12 18:33:16 2023 relations with 6 large ideals: 27140860 Mon Jun 12 18:33:16 2023 relations with 7+ large ideals: 44710846 Mon Jun 12 18:33:16 2023 commencing 2-way merge Mon Jun 12 18:34:33 2023 reduce to 64884886 relation sets and 62838368 unique ideals Mon Jun 12 18:34:33 2023 commencing full merge Mon Jun 12 19:30:03 2023 memory use: 2920.1 MB Mon Jun 12 19:30:03 2023 found 356811 cycles, need 13974282 Mon Jun 12 19:30:03 2023 too few cycles, matrix probably cannot build Mon Jun 12 19:30:03 2023 filtering wants 1000000 more relations Mon Jun 12 19:30:03 2023 elapsed time 03:32:43 Mon Jun 12 21:23:47 2023 Mon Jun 12 21:23:47 2023 Mon Jun 12 21:23:47 2023 Msieve v. 1.54 (SVN unknown) Mon Jun 12 21:23:47 2023 random seeds: 61d2870b d9bf1b3c Mon Jun 12 21:23:47 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits) Mon Jun 12 21:23:48 2023 no P-1/P+1/ECM available, skipping Mon Jun 12 21:23:48 2023 commencing number field sieve (239-digit input) Mon Jun 12 21:23:48 2023 R0: -19088056323407827075424486287615602692670648963 Mon Jun 12 21:23:48 2023 R1: 1 Mon Jun 12 21:23:48 2023 A0: 1 Mon Jun 12 21:23:48 2023 A1: 0 Mon Jun 12 21:23:48 2023 A2: 0 Mon Jun 12 21:23:48 2023 A3: -3 Mon Jun 12 21:23:48 2023 A4: 0 Mon Jun 12 21:23:48 2023 A5: 0 Mon Jun 12 21:23:48 2023 A6: 3 Mon Jun 12 21:23:48 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0 Mon Jun 12 21:23:48 2023 Mon Jun 12 21:23:48 2023 commencing relation filtering Mon Jun 12 21:23:48 2023 setting target matrix density to 130.0 Mon Jun 12 21:23:48 2023 estimated available RAM is 257376.4 MB Mon Jun 12 21:23:50 2023 commencing duplicate removal, pass 1 Mon Jun 12 22:13:22 2023 skipped 2673 relations with b > 2^32 Mon Jun 12 22:13:22 2023 skipped 4 relations with composite factors Mon Jun 12 22:13:22 2023 found 27002419 hash collisions in 345804807 relations Mon Jun 12 22:13:31 2023 commencing duplicate removal, pass 2 Mon Jun 12 22:20:05 2023 found 2650728 duplicates and 343154079 unique relations Mon Jun 12 22:20:05 2023 memory use: 1321.5 MB Mon Jun 12 22:20:05 2023 reading ideals above 720000 Mon Jun 12 22:20:05 2023 commencing singleton removal, initial pass Mon Jun 12 23:10:36 2023 memory use: 11024.0 MB Mon Jun 12 23:10:36 2023 reading all ideals from disk Mon Jun 12 23:11:56 2023 memory use: 14674.0 MB Mon Jun 12 23:12:52 2023 keeping 338967147 ideals with weight <= 200, target excess is 1761566 Mon Jun 12 23:14:07 2023 commencing in-memory singleton removal Mon Jun 12 23:14:46 2023 begin with 343154079 relations and 338967147 unique ideals Mon Jun 12 23:24:01 2023 reduce to 203762172 relations and 183931727 ideals in 17 passes Mon Jun 12 23:24:01 2023 max relations containing the same ideal: 154 Mon Jun 12 23:25:50 2023 removing 15829908 relations and 13829908 ideals in 2000000 cliques Mon Jun 12 23:25:59 2023 commencing in-memory singleton removal Mon Jun 12 23:26:15 2023 begin with 187932264 relations and 183931727 unique ideals Mon Jun 12 23:29:33 2023 reduce to 186857095 relations and 169011651 ideals in 9 passes Mon Jun 12 23:29:33 2023 max relations containing the same ideal: 143 Mon Jun 12 23:31:08 2023 removing 11916166 relations and 9916166 ideals in 2000000 cliques Mon Jun 12 23:31:15 2023 commencing in-memory singleton removal Mon Jun 12 23:31:31 2023 begin with 174940929 relations and 169011651 unique ideals Mon Jun 12 23:34:40 2023 reduce to 174260904 relations and 158407595 ideals in 10 passes Mon Jun 12 23:34:40 2023 max relations containing the same ideal: 139 Mon Jun 12 23:36:01 2023 removing 10718507 relations and 8718507 ideals in 2000000 cliques Mon Jun 12 23:36:08 2023 commencing in-memory singleton removal Mon Jun 12 23:36:20 2023 begin with 163542397 relations and 158407595 unique ideals Mon Jun 12 23:38:39 2023 reduce to 162949585 relations and 149089524 ideals in 9 passes Mon Jun 12 23:38:39 2023 max relations containing the same ideal: 132 Mon Jun 12 23:40:07 2023 removing 10107675 relations and 8107675 ideals in 2000000 cliques Mon Jun 12 23:40:16 2023 commencing in-memory singleton removal Mon Jun 12 23:40:33 2023 begin with 152841910 relations and 149089524 unique ideals Mon Jun 12 23:42:57 2023 reduce to 152282517 relations and 140415746 ideals in 9 passes Mon Jun 12 23:42:57 2023 max relations containing the same ideal: 125 Mon Jun 12 23:44:14 2023 removing 9726581 relations and 7726581 ideals in 2000000 cliques Mon Jun 12 23:44:20 2023 commencing in-memory singleton removal Mon Jun 12 23:44:32 2023 begin with 142555936 relations and 140415746 unique ideals Mon Jun 12 23:46:38 2023 reduce to 142003532 relations and 132130011 ideals in 9 passes Mon Jun 12 23:46:39 2023 max relations containing the same ideal: 120 Mon Jun 12 23:47:48 2023 removing 9496386 relations and 7496386 ideals in 2000000 cliques Mon Jun 12 23:47:54 2023 commencing in-memory singleton removal Mon Jun 12 23:48:05 2023 begin with 132507146 relations and 132130011 unique ideals Mon Jun 12 23:49:52 2023 reduce to 131945428 relations and 124064730 ideals in 8 passes Mon Jun 12 23:49:52 2023 max relations containing the same ideal: 113 Mon Jun 12 23:50:54 2023 removing 9349566 relations and 7349566 ideals in 2000000 cliques Mon Jun 12 23:51:00 2023 commencing in-memory singleton removal Mon Jun 12 23:51:10 2023 begin with 122595862 relations and 124064730 unique ideals Mon Jun 12 23:52:44 2023 reduce to 122011785 relations and 116123298 ideals in 8 passes Mon Jun 12 23:52:44 2023 max relations containing the same ideal: 109 Mon Jun 12 23:53:40 2023 removing 9266022 relations and 7266022 ideals in 2000000 cliques Mon Jun 12 23:53:45 2023 commencing in-memory singleton removal Mon Jun 12 23:53:54 2023 begin with 112745763 relations and 116123298 unique ideals Mon Jun 12 23:55:19 2023 reduce to 112128064 relations and 108230560 ideals in 8 passes Mon Jun 12 23:55:19 2023 max relations containing the same ideal: 102 Mon Jun 12 23:56:13 2023 removing 8701237 relations and 6847150 ideals in 1854087 cliques Mon Jun 12 23:56:18 2023 commencing in-memory singleton removal Mon Jun 12 23:56:26 2023 begin with 103426827 relations and 108230560 unique ideals Mon Jun 12 23:58:04 2023 reduce to 102842653 relations and 100790700 ideals in 9 passes Mon Jun 12 23:58:04 2023 max relations containing the same ideal: 96 Mon Jun 12 23:58:54 2023 removing 89030 relations and 80494 ideals in 8536 cliques Mon Jun 12 23:58:58 2023 commencing in-memory singleton removal Mon Jun 12 23:59:06 2023 begin with 102753623 relations and 100790700 unique ideals Mon Jun 12 23:59:42 2023 reduce to 102753555 relations and 100710138 ideals in 4 passes Mon Jun 12 23:59:42 2023 max relations containing the same ideal: 96 Tue Jun 13 00:00:03 2023 relations with 0 large ideals: 44986 Tue Jun 13 00:00:03 2023 relations with 1 large ideals: 26249 Tue Jun 13 00:00:03 2023 relations with 2 large ideals: 372230 Tue Jun 13 00:00:03 2023 relations with 3 large ideals: 2439701 Tue Jun 13 00:00:03 2023 relations with 4 large ideals: 8825290 Tue Jun 13 00:00:03 2023 relations with 5 large ideals: 19435184 Tue Jun 13 00:00:03 2023 relations with 6 large ideals: 27094667 Tue Jun 13 00:00:03 2023 relations with 7+ large ideals: 44515248 Tue Jun 13 00:00:03 2023 commencing 2-way merge Tue Jun 13 00:01:14 2023 reduce to 64732817 relation sets and 62689400 unique ideals Tue Jun 13 00:01:14 2023 commencing full merge Tue Jun 13 00:57:08 2023 memory use: 2913.1 MB Tue Jun 13 00:57:08 2023 found 353749 cycles, need 13946475 Tue Jun 13 00:57:08 2023 too few cycles, matrix probably cannot build Tue Jun 13 00:57:08 2023 filtering wants 1000000 more relations Tue Jun 13 00:57:08 2023 elapsed time 03:33:21 Tue Jun 13 01:12:51 2023 Tue Jun 13 01:12:51 2023 Tue Jun 13 01:12:51 2023 Msieve v. 1.54 (SVN unknown) Tue Jun 13 01:12:51 2023 random seeds: 948748d0 cc3a03ba Tue Jun 13 01:12:51 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits) Tue Jun 13 01:12:52 2023 no P-1/P+1/ECM available, skipping Tue Jun 13 01:12:52 2023 commencing number field sieve (239-digit input) Tue Jun 13 01:12:52 2023 R0: -19088056323407827075424486287615602692670648963 Tue Jun 13 01:12:52 2023 R1: 1 Tue Jun 13 01:12:52 2023 A0: 1 Tue Jun 13 01:12:52 2023 A1: 0 Tue Jun 13 01:12:52 2023 A2: 0 Tue Jun 13 01:12:52 2023 A3: -3 Tue Jun 13 01:12:52 2023 A4: 0 Tue Jun 13 01:12:52 2023 A5: 0 Tue Jun 13 01:12:52 2023 A6: 3 Tue Jun 13 01:12:52 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0 Tue Jun 13 01:12:52 2023 Tue Jun 13 01:12:52 2023 commencing relation filtering Tue Jun 13 01:12:52 2023 setting target matrix density to 115.0 Tue Jun 13 01:12:52 2023 estimated available RAM is 257376.4 MB Tue Jun 13 01:12:54 2023 commencing duplicate removal, pass 1 Tue Jun 13 02:00:05 2023 skipped 2676 relations with b > 2^32 Tue Jun 13 02:00:05 2023 skipped 8 relations with composite factors Tue Jun 13 02:00:05 2023 found 27664437 hash collisions in 347086081 relations Tue Jun 13 02:00:13 2023 commencing duplicate removal, pass 2 Tue Jun 13 02:07:26 2023 found 3638621 duplicates and 343447460 unique relations Tue Jun 13 02:07:26 2023 memory use: 1321.5 MB Tue Jun 13 02:07:26 2023 reading ideals above 720000 Tue Jun 13 02:07:26 2023 commencing singleton removal, initial pass Tue Jun 13 03:00:14 2023 memory use: 11024.0 MB Tue Jun 13 03:00:14 2023 reading all ideals from disk Tue Jun 13 03:01:37 2023 memory use: 14686.6 MB Tue Jun 13 03:02:24 2023 keeping 339049776 ideals with weight <= 200, target excess is 1763166 Tue Jun 13 03:03:25 2023 commencing in-memory singleton removal Tue Jun 13 03:04:03 2023 begin with 343447460 relations and 339049776 unique ideals Tue Jun 13 03:10:16 2023 reduce to 204201852 relations and 184200248 ideals in 17 passes Tue Jun 13 03:10:16 2023 max relations containing the same ideal: 156 Tue Jun 13 03:12:17 2023 removing 15805320 relations and 13805320 ideals in 2000000 cliques Tue Jun 13 03:12:27 2023 commencing in-memory singleton removal Tue Jun 13 03:12:46 2023 begin with 188396532 relations and 184200248 unique ideals Tue Jun 13 03:16:03 2023 reduce to 187327583 relations and 169311107 ideals in 9 passes Tue Jun 13 03:16:03 2023 max relations containing the same ideal: 144 Tue Jun 13 03:17:56 2023 removing 11898908 relations and 9898908 ideals in 2000000 cliques Tue Jun 13 03:18:04 2023 commencing in-memory singleton removal Tue Jun 13 03:18:22 2023 begin with 175428675 relations and 169311107 unique ideals Tue Jun 13 03:21:45 2023 reduce to 174753815 relations and 158729553 ideals in 10 passes Tue Jun 13 03:21:45 2023 max relations containing the same ideal: 141 Tue Jun 13 03:23:25 2023 removing 10702458 relations and 8702458 ideals in 2000000 cliques Tue Jun 13 03:23:33 2023 commencing in-memory singleton removal Tue Jun 13 03:23:50 2023 begin with 164051357 relations and 158729553 unique ideals Tue Jun 13 03:26:35 2023 reduce to 163462497 relations and 149431503 ideals in 9 passes Tue Jun 13 03:26:35 2023 max relations containing the same ideal: 133 Tue Jun 13 03:27:50 2023 removing 10091197 relations and 8091197 ideals in 2000000 cliques Tue Jun 13 03:27:56 2023 commencing in-memory singleton removal Tue Jun 13 03:28:08 2023 begin with 153371300 relations and 149431503 unique ideals Tue Jun 13 03:30:21 2023 reduce to 152815258 relations and 140777640 ideals in 9 passes Tue Jun 13 03:30:21 2023 max relations containing the same ideal: 128 Tue Jun 13 03:31:59 2023 removing 9709856 relations and 7709856 ideals in 2000000 cliques Tue Jun 13 03:32:08 2023 commencing in-memory singleton removal Tue Jun 13 03:32:22 2023 begin with 143105402 relations and 140777640 unique ideals Tue Jun 13 03:34:58 2023 reduce to 142556987 relations and 132512687 ideals in 8 passes Tue Jun 13 03:34:58 2023 max relations containing the same ideal: 120 Tue Jun 13 03:36:36 2023 removing 9479807 relations and 7479807 ideals in 2000000 cliques Tue Jun 13 03:36:44 2023 commencing in-memory singleton removal Tue Jun 13 03:36:57 2023 begin with 133077180 relations and 132512687 unique ideals Tue Jun 13 03:39:18 2023 reduce to 132519612 relations and 124468269 ideals in 8 passes Tue Jun 13 03:39:18 2023 max relations containing the same ideal: 114 Tue Jun 13 03:40:47 2023 removing 9332259 relations and 7332259 ideals in 2000000 cliques Tue Jun 13 03:40:54 2023 commencing in-memory singleton removal Tue Jun 13 03:41:06 2023 begin with 123187353 relations and 124468269 unique ideals Tue Jun 13 03:43:16 2023 reduce to 122607700 relations and 116548593 ideals in 8 passes Tue Jun 13 03:43:16 2023 max relations containing the same ideal: 111 Tue Jun 13 03:44:41 2023 removing 9246672 relations and 7246672 ideals in 2000000 cliques Tue Jun 13 03:44:48 2023 commencing in-memory singleton removal Tue Jun 13 03:44:59 2023 begin with 113361028 relations and 116548593 unique ideals Tue Jun 13 03:46:34 2023 reduce to 112750474 relations and 108682541 ideals in 8 passes Tue Jun 13 03:46:34 2023 max relations containing the same ideal: 103 Tue Jun 13 03:47:34 2023 removing 9229080 relations and 7229080 ideals in 2000000 cliques Tue Jun 13 03:47:40 2023 commencing in-memory singleton removal Tue Jun 13 03:47:50 2023 begin with 103521394 relations and 108682541 unique ideals Tue Jun 13 03:49:28 2023 reduce to 102860194 relations and 100781934 ideals in 10 passes Tue Jun 13 03:49:28 2023 max relations containing the same ideal: 97 Tue Jun 13 03:50:16 2023 removing 297198 relations and 264211 ideals in 32987 cliques Tue Jun 13 03:50:19 2023 commencing in-memory singleton removal Tue Jun 13 03:50:27 2023 begin with 102562996 relations and 100781934 unique ideals Tue Jun 13 03:51:13 2023 reduce to 102562508 relations and 100517234 ideals in 5 passes Tue Jun 13 03:51:13 2023 max relations containing the same ideal: 95 Tue Jun 13 03:51:33 2023 relations with 0 large ideals: 45029 Tue Jun 13 03:51:33 2023 relations with 1 large ideals: 26368 Tue Jun 13 03:51:33 2023 relations with 2 large ideals: 373214 Tue Jun 13 03:51:33 2023 relations with 3 large ideals: 2443753 Tue Jun 13 03:51:33 2023 relations with 4 large ideals: 8831570 Tue Jun 13 03:51:33 2023 relations with 5 large ideals: 19426150 Tue Jun 13 03:51:33 2023 relations with 6 large ideals: 27050755 Tue Jun 13 03:51:33 2023 relations with 7+ large ideals: 44365669 Tue Jun 13 03:51:33 2023 commencing 2-way merge Tue Jun 13 03:52:44 2023 reduce to 64618113 relation sets and 62572839 unique ideals Tue Jun 13 03:52:45 2023 commencing full merge Tue Jun 13 04:21:19 2023 memory use: 7807.8 MB Tue Jun 13 04:21:24 2023 found 29062644 cycles, need 28979039 Tue Jun 13 04:21:33 2023 weight of 28979039 cycles is about 3332891686 (115.01/cycle) Tue Jun 13 04:21:33 2023 distribution of cycle lengths: Tue Jun 13 04:21:33 2023 1 relations: 2352950 Tue Jun 13 04:21:33 2023 2 relations: 2363334 Tue Jun 13 04:21:33 2023 3 relations: 2383383 Tue Jun 13 04:21:33 2023 4 relations: 2250873 Tue Jun 13 04:21:33 2023 5 relations: 2148310 Tue Jun 13 04:21:33 2023 6 relations: 2035204 Tue Jun 13 04:21:33 2023 7 relations: 1888890 Tue Jun 13 04:21:33 2023 8 relations: 1767630 Tue Jun 13 04:21:33 2023 9 relations: 1624701 Tue Jun 13 04:21:33 2023 10+ relations: 10163764 Tue Jun 13 04:21:33 2023 heaviest cycle: 28 relations Tue Jun 13 04:21:41 2023 commencing cycle optimization Tue Jun 13 04:22:35 2023 start with 235933856 relations Tue Jun 13 04:30:46 2023 pruned 8877471 relations Tue Jun 13 04:30:46 2023 memory use: 6619.4 MB Tue Jun 13 04:30:46 2023 distribution of cycle lengths: Tue Jun 13 04:30:46 2023 1 relations: 2352950 Tue Jun 13 04:30:46 2023 2 relations: 2421647 Tue Jun 13 04:30:46 2023 3 relations: 2479545 Tue Jun 13 04:30:46 2023 4 relations: 2330933 Tue Jun 13 04:30:46 2023 5 relations: 2235808 Tue Jun 13 04:30:46 2023 6 relations: 2104182 Tue Jun 13 04:30:46 2023 7 relations: 1957414 Tue Jun 13 04:30:46 2023 8 relations: 1816241 Tue Jun 13 04:30:46 2023 9 relations: 1665420 Tue Jun 13 04:30:46 2023 10+ relations: 9614899 Tue Jun 13 04:30:46 2023 heaviest cycle: 28 relations Tue Jun 13 04:32:19 2023 RelProcTime: 11967 Tue Jun 13 04:32:19 2023 elapsed time 03:19:28 Tue Jun 13 11:47:19 2023 Tue Jun 13 11:47:19 2023 Tue Jun 13 11:47:19 2023 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5) Tue Jun 13 11:47:19 2023 random seeds: 1b8811d1 0d77f269 Tue Jun 13 11:47:19 2023 MPI process 0 of 4 Tue Jun 13 11:47:19 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits) Tue Jun 13 11:47:21 2023 no P-1/P+1/ECM available, skipping Tue Jun 13 11:47:21 2023 commencing number field sieve (239-digit input) Tue Jun 13 11:47:21 2023 R0: -19088056323407827075424486287615602692670648963 Tue Jun 13 11:47:21 2023 R1: 1 Tue Jun 13 11:47:21 2023 A0: 1 Tue Jun 13 11:47:21 2023 A1: 0 Tue Jun 13 11:47:22 2023 A2: 0 Tue Jun 13 11:47:22 2023 A3: -3 Tue Jun 13 11:47:22 2023 A4: 0 Tue Jun 13 11:47:22 2023 A5: 0 Tue Jun 13 11:47:22 2023 A6: 3 Tue Jun 13 11:47:22 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0 Tue Jun 13 11:47:22 2023 Tue Jun 13 11:47:22 2023 commencing linear algebra Tue Jun 13 11:47:22 2023 using VBITS=256 Tue Jun 13 11:47:22 2023 initialized process (0,0) of 2 x 2 grid Tue Jun 13 11:47:45 2023 read 28979039 cycles Tue Jun 13 11:50:19 2023 cycles contain 101139516 unique relations Tue Jun 13 12:15:58 2023 read 101139516 relations Tue Jun 13 12:21:20 2023 using 20 quadratic characters above 4294917295 Tue Jun 13 12:33:14 2023 building initial matrix Tue Jun 13 13:53:05 2023 memory use: 13265.0 MB Tue Jun 13 13:54:52 2023 read 28979039 cycles Tue Jun 13 13:54:57 2023 matrix is 28978861 x 28979039 (13227.4 MB) with weight 3796236827 (131.00/col) Tue Jun 13 13:54:57 2023 sparse part has weight 3148713414 (108.65/col) Tue Jun 13 14:06:52 2023 filtering completed in 2 passes Tue Jun 13 14:06:59 2023 matrix is 28976861 x 28977035 (13227.2 MB) with weight 3796165487 (131.01/col) Tue Jun 13 14:06:59 2023 sparse part has weight 3148689072 (108.66/col) Tue Jun 13 14:33:09 2023 matrix starts at (0, 0) Tue Jun 13 14:33:11 2023 matrix is 14488551 x 14488539 (3855.7 MB) with weight 1175096120 (81.11/col) Tue Jun 13 14:33:11 2023 sparse part has weight 851369920 (58.76/col) Tue Jun 13 14:33:11 2023 saving the first 240 matrix rows for later Tue Jun 13 14:33:21 2023 matrix includes 256 packed rows Tue Jun 13 14:33:31 2023 matrix is 14488311 x 14488539 (3434.6 MB) with weight 723562051 (49.94/col) Tue Jun 13 14:33:31 2023 sparse part has weight 668544395 (46.14/col) Tue Jun 13 14:33:31 2023 using block size 8192 and superblock size 1105920 for processor cache size 46080 kB Tue Jun 13 14:34:00 2023 commencing Lanczos iteration Tue Jun 13 14:34:00 2023 memory use: 5131.4 MB # mpirun -np 4 ./msieve -ncr "2,2" -g 4 -nf $z.fb -i $z.ini -s $z.dat -v & Using CUDA-Aware MPI Msieve v. 1.54 (SVN Unversioned directory) Wed Jun 14 09:56:56 2023 random seeds: 733db1b4 abd51d4b commencing linear algebra using VBITS=256 R0: -19088056323407827075424486287615602692670648963 R1: 1 A0: 1 A1: 0 A2: 0 A3: -3 A4: 0 A5: 0 A6: 3 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0 commencing linear algebra using VBITS=256 initialized process (0,0) of 2 x 2 grid initialized process (1,0) of 2 x 2 grid initialized process (0,1) of 2 x 2 grid initialized process (1,1) of 2 x 2 grid matrix starts at (0, 0) matrix starts at (14488551, 0) matrix is 14488310 x 14488539 (3200.1 MB) with weight 722974799 (49.90/col) sparse part has weight 722974799 (49.90/col) matrix starts at (0, 14488539) matrix starts at (14488551, 14488539) matrix is 14488310 x 14488496 (3200.0 MB) with weight 722962959 (49.90/col) sparse part has weight 722962959 (49.90/col) matrix is 14488551 x 14488539 (3855.7 MB) with weight 1175096120 (81.11/col) sparse part has weight 851369920 (58.76/col) saving the first 240 matrix rows for later matrix is 14488551 x 14488496 (3855.7 MB) with weight 1175131609 (81.11/col) sparse part has weight 851381394 (58.76/col) saving the first 240 matrix rows for later matrix includes 256 packed rows matrix includes 256 packed rows matrix is 14488310 x 14488496 (3200.0 MB) with weight 722962959 (49.90/col) sparse part has weight 722962959 (49.90/col) using GPU 3 (NVIDIA A10G) selected card has CUDA arch 8.6 matrix is 14488310 x 14488539 (3200.1 MB) with weight 722974799 (49.90/col) sparse part has weight 722974799 (49.90/col) using GPU 2 (NVIDIA A10G) selected card has CUDA arch 8.6 Nonzeros per block: 1750000000 converting matrix to CSR and copying it onto the GPU Nonzeros per block: 1750000000 converting matrix to CSR and copying it onto the GPU matrix is 14488311 x 14488539 (3434.6 MB) with weight 723562051 (49.94/col) sparse part has weight 668544395 (46.14/col) matrix is 14488311 x 14488496 (3434.6 MB) with weight 723591722 (49.94/col) using GPU 0 (NVIDIA A10G) sparse part has weight 668556272 (46.14/col) selected card has CUDA arch 8.6 using GPU 1 (NVIDIA A10G) selected card has CUDA arch 8.6 Nonzeros per block: 1750000000 Nonzeros per block: 1750000000 converting matrix to CSR and copying it onto the GPU converting matrix to CSR and copying it onto the GPU 668556272 14488311 14488496 668544395 14488311 14488539 722962959 14488310 14488496 722974799 14488310 14488539 722962959 14488496 14488310 commencing Lanczos iteration 722974799 14488539 14488310 vector memory use: 2210.8 MB dense rows memory use: 0.0 MB sparse matrix memory use: 5626.3 MB memory use: 7837.1 MB commencing Lanczos iteration vector memory use: 2210.8 MB dense rows memory use: 0.0 MB sparse matrix memory use: 5626.4 MB memory use: 7837.2 MB 668556272 14488496 14488311 commencing Lanczos iteration 668544395 14488539 14488311 commencing Lanczos iteration vector memory use: 2210.8 MB dense rows memory use: 442.2 MB sparse matrix memory use: 5211.2 MB memory use: 7864.1 MB vector memory use: 2210.8 MB dense rows memory use: 442.2 MB sparse matrix memory use: 5211.1 MB memory use: 7864.1 MB restarting at iteration 87803 (dim = 22410092) restarting at iteration 87803 (dim = 22410092) restarting at iteration 87803 (dim = 22410092) restarting at iteration 87803 (dim = 22410092) Allocated 490.7 MB for SpMV library Allocated 490.7 MB for SpMV library Allocated 529.8 MB for SpMV library Allocated 529.8 MB for SpMV library linear algebra at 77.4%, ETA 4h 2mof 28977035 dimensions (77.4%, ETA 4h 2m) checkpointing every 800000 dimensions28977035 dimensions (77.4%, ETA 4h 8m) linear algebra completed 28976426 of 28977035 dimensions (100.0%, ETA 0h 0m) lanczos halted after 113532 iterations (dim = 28976619) lanczos halted after 113532 iterations (dim = 28976619) lanczos halted after 113532 iterations (dim = 28976619) lanczos halted after 113532 iterations (dim = 28976619) recovered 36 nontrivial dependencies elapsed time 16:22:57 Wed Jun 14 13:53:52 2023 Wed Jun 14 13:53:52 2023 Wed Jun 14 13:53:52 2023 Msieve v. 1.54 (SVN unknown) Wed Jun 14 13:53:52 2023 random seeds: 105ad7b5 dd5bd668 Wed Jun 14 13:53:52 2023 factoring 29472593582322781732189202604362140195796336696672498078253781826970272603814414588485126760915384606980164073110099766743535818597711038898073149202797678770051193574606083384649324808917974375654220392813694001429770552398852292128140097 (239 digits) Wed Jun 14 13:53:53 2023 no P-1/P+1/ECM available, skipping Wed Jun 14 13:53:53 2023 commencing number field sieve (239-digit input) Wed Jun 14 13:53:53 2023 R0: -19088056323407827075424486287615602692670648963 Wed Jun 14 13:53:53 2023 R1: 1 Wed Jun 14 13:53:53 2023 A0: 1 Wed Jun 14 13:53:53 2023 A1: 0 Wed Jun 14 13:53:53 2023 A2: 0 Wed Jun 14 13:53:53 2023 A3: -3 Wed Jun 14 13:53:53 2023 A4: 0 Wed Jun 14 13:53:53 2023 A5: 0 Wed Jun 14 13:53:53 2023 A6: 3 Wed Jun 14 13:53:53 2023 skew 1.11, size 1.390e-13, alpha 1.406, combined = 2.545e-14 rroots = 0 Wed Jun 14 13:53:53 2023 Wed Jun 14 13:53:53 2023 commencing square root phase Wed Jun 14 13:53:53 2023 handling dependencies 10 to 14 Wed Jun 14 13:53:53 2023 reading relations for dependency 10 Wed Jun 14 13:53:59 2023 read 14486181 cycles Wed Jun 14 13:54:32 2023 cycles contain 50569514 unique relations Wed Jun 14 14:03:52 2023 read 50569514 relations Wed Jun 14 14:09:17 2023 multiplying 50569514 relations Wed Jun 14 14:52:10 2023 multiply complete, coefficients have about 1411.54 million bits Wed Jun 14 14:52:15 2023 initial square root is modulo 2146817 Wed Jun 14 15:32:02 2023 sqrtTime: 5889 Wed Jun 14 15:32:02 2023 p75 factor: 141079912147026548614207035680370753699955598629695519674782389016935224629 Wed Jun 14 15:32:02 2023 p165 factor: 208907087719248744950894663162539480254404719955509289821789639272549926634817382261685018778725378004725353389522003036559860467004337704677575112595454021902662493 Wed Jun 14 15:32:02 2023 elapsed time 01:38:10