Thu Sep 12 00:46:31 2019 Thu Sep 12 00:46:31 2019 Thu Sep 12 00:46:31 2019 Msieve v. 1.54 (SVN 1030M) Thu Sep 12 00:46:31 2019 random seeds: 1e462f1a ff5ac511 Thu Sep 12 00:46:31 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Thu Sep 12 00:46:32 2019 no P-1/P+1/ECM available, skipping Thu Sep 12 00:46:32 2019 commencing number field sieve (172-digit input) Thu Sep 12 00:46:32 2019 R0: -37779229886181038662693 Thu Sep 12 00:46:32 2019 R1: 167772160000000000000 Thu Sep 12 00:46:32 2019 A0: 16 Thu Sep 12 00:46:32 2019 A1: 320 Thu Sep 12 00:46:32 2019 A2: 1280 Thu Sep 12 00:46:32 2019 A3: 1400 Thu Sep 12 00:46:32 2019 A4: -1200 Thu Sep 12 00:46:32 2019 A5: -3000 Thu Sep 12 00:46:32 2019 A6: -750 Thu Sep 12 00:46:32 2019 A7: 1250 Thu Sep 12 00:46:32 2019 A8: 625 Thu Sep 12 00:46:32 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Thu Sep 12 00:46:32 2019 Thu Sep 12 00:46:32 2019 commencing relation filtering Thu Sep 12 00:46:32 2019 setting target matrix density to 70.0 Thu Sep 12 00:46:32 2019 estimated available RAM is 95375.2 MB Thu Sep 12 00:46:32 2019 commencing duplicate removal, pass 1 3 errors Thu Sep 12 01:31:45 2019 skipped 55 relations with composite factors Thu Sep 12 01:31:45 2019 found 8330099 hash collisions in 194914464 relations Thu Sep 12 01:32:03 2019 added 1828678 free relations Thu Sep 12 01:32:03 2019 commencing duplicate removal, pass 2 Thu Sep 12 01:33:38 2019 found 0 duplicates and 196743142 unique relations Thu Sep 12 01:33:38 2019 memory use: 522.4 MB Thu Sep 12 01:33:38 2019 reading ideals above 720000 Thu Sep 12 01:33:38 2019 commencing singleton removal, initial pass Thu Sep 12 02:26:25 2019 memory use: 5512.0 MB Thu Sep 12 02:26:25 2019 reading all ideals from disk Thu Sep 12 02:26:31 2019 memory use: 7378.7 MB Thu Sep 12 02:27:05 2019 keeping 167780339 ideals with weight <= 200, target excess is 981285 Thu Sep 12 02:27:49 2019 commencing in-memory singleton removal Thu Sep 12 02:28:15 2019 begin with 196743141 relations and 167780339 unique ideals Thu Sep 12 02:32:22 2019 reduce to 130348113 relations and 94610184 ideals in 12 passes Thu Sep 12 02:32:22 2019 max relations containing the same ideal: 162 Thu Sep 12 02:34:01 2019 removing 9474063 relations and 7474063 ideals in 2000000 cliques Thu Sep 12 02:34:05 2019 commencing in-memory singleton removal Thu Sep 12 02:34:20 2019 begin with 120874050 relations and 94610184 unique ideals Thu Sep 12 02:36:16 2019 reduce to 120361526 relations and 86613772 ideals in 7 passes Thu Sep 12 02:36:16 2019 max relations containing the same ideal: 156 Thu Sep 12 02:37:45 2019 removing 7265409 relations and 5265409 ideals in 2000000 cliques Thu Sep 12 02:37:49 2019 commencing in-memory singleton removal Thu Sep 12 02:38:03 2019 begin with 113096117 relations and 86613772 unique ideals Thu Sep 12 02:39:48 2019 reduce to 112751763 relations and 80998056 ideals in 7 passes Thu Sep 12 02:39:48 2019 max relations containing the same ideal: 151 Thu Sep 12 02:41:13 2019 removing 6632178 relations and 4632178 ideals in 2000000 cliques Thu Sep 12 02:41:16 2019 commencing in-memory singleton removal Thu Sep 12 02:41:29 2019 begin with 106119585 relations and 80998056 unique ideals Thu Sep 12 02:42:54 2019 reduce to 105823573 relations and 76064629 ideals in 6 passes Thu Sep 12 02:42:54 2019 max relations containing the same ideal: 145 Thu Sep 12 02:44:13 2019 removing 6294760 relations and 4294760 ideals in 2000000 cliques Thu Sep 12 02:44:16 2019 commencing in-memory singleton removal Thu Sep 12 02:44:28 2019 begin with 99528813 relations and 76064629 unique ideals Thu Sep 12 02:46:00 2019 reduce to 99258019 relations and 71494100 ideals in 7 passes Thu Sep 12 02:46:00 2019 max relations containing the same ideal: 139 Thu Sep 12 02:47:15 2019 removing 6068861 relations and 4068861 ideals in 2000000 cliques Thu Sep 12 02:47:19 2019 commencing in-memory singleton removal Thu Sep 12 02:47:30 2019 begin with 93189158 relations and 71494100 unique ideals Thu Sep 12 02:48:55 2019 reduce to 92932165 relations and 67163420 ideals in 7 passes Thu Sep 12 02:48:55 2019 max relations containing the same ideal: 135 Thu Sep 12 02:50:03 2019 removing 5909611 relations and 3909611 ideals in 2000000 cliques Thu Sep 12 02:50:06 2019 commencing in-memory singleton removal Thu Sep 12 02:50:16 2019 begin with 87022554 relations and 67163420 unique ideals Thu Sep 12 02:51:36 2019 reduce to 86772328 relations and 62998560 ideals in 7 passes Thu Sep 12 02:51:36 2019 max relations containing the same ideal: 130 Thu Sep 12 02:52:40 2019 removing 5787545 relations and 3787545 ideals in 2000000 cliques Thu Sep 12 02:52:43 2019 commencing in-memory singleton removal Thu Sep 12 02:52:52 2019 begin with 80984783 relations and 62998560 unique ideals Thu Sep 12 02:53:54 2019 reduce to 80737009 relations and 58958063 ideals in 6 passes Thu Sep 12 02:53:54 2019 max relations containing the same ideal: 119 Thu Sep 12 02:54:54 2019 removing 5688314 relations and 3688314 ideals in 2000000 cliques Thu Sep 12 02:54:57 2019 commencing in-memory singleton removal Thu Sep 12 02:55:05 2019 begin with 75048695 relations and 58958063 unique ideals Thu Sep 12 02:56:01 2019 reduce to 74800244 relations and 55015800 ideals in 6 passes Thu Sep 12 02:56:01 2019 max relations containing the same ideal: 114 Thu Sep 12 02:56:57 2019 removing 5610506 relations and 3610506 ideals in 2000000 cliques Thu Sep 12 02:57:00 2019 commencing in-memory singleton removal Thu Sep 12 02:57:08 2019 begin with 69189738 relations and 55015800 unique ideals Thu Sep 12 02:57:59 2019 reduce to 68938489 relations and 51148161 ideals in 6 passes Thu Sep 12 02:57:59 2019 max relations containing the same ideal: 111 Thu Sep 12 02:58:50 2019 removing 5545618 relations and 3545618 ideals in 2000000 cliques Thu Sep 12 02:58:53 2019 commencing in-memory singleton removal Thu Sep 12 02:59:00 2019 begin with 63392871 relations and 51148161 unique ideals Thu Sep 12 02:59:46 2019 reduce to 63134981 relations and 47338001 ideals in 6 passes Thu Sep 12 02:59:46 2019 max relations containing the same ideal: 106 Thu Sep 12 03:00:33 2019 removing 5488027 relations and 3488027 ideals in 2000000 cliques Thu Sep 12 03:00:36 2019 commencing in-memory singleton removal Thu Sep 12 03:00:42 2019 begin with 57646954 relations and 47338001 unique ideals Thu Sep 12 03:01:24 2019 reduce to 57381605 relations and 43577339 ideals in 6 passes Thu Sep 12 03:01:24 2019 max relations containing the same ideal: 100 Thu Sep 12 03:02:07 2019 removing 5441440 relations and 3441440 ideals in 2000000 cliques Thu Sep 12 03:02:09 2019 commencing in-memory singleton removal Thu Sep 12 03:02:15 2019 begin with 51940165 relations and 43577339 unique ideals Thu Sep 12 03:02:52 2019 reduce to 51661270 relations and 39848612 ideals in 6 passes Thu Sep 12 03:02:52 2019 max relations containing the same ideal: 94 Thu Sep 12 03:03:31 2019 removing 5398851 relations and 3398851 ideals in 2000000 cliques Thu Sep 12 03:03:33 2019 commencing in-memory singleton removal Thu Sep 12 03:03:39 2019 begin with 46262419 relations and 39848612 unique ideals Thu Sep 12 03:04:11 2019 reduce to 45965252 relations and 36142798 ideals in 6 passes Thu Sep 12 03:04:11 2019 max relations containing the same ideal: 84 Thu Sep 12 03:04:45 2019 removing 5366171 relations and 3366171 ideals in 2000000 cliques Thu Sep 12 03:04:47 2019 commencing in-memory singleton removal Thu Sep 12 03:04:52 2019 begin with 40599081 relations and 36142798 unique ideals Thu Sep 12 03:05:20 2019 reduce to 40274387 relations and 32439964 ideals in 6 passes Thu Sep 12 03:05:20 2019 max relations containing the same ideal: 77 Thu Sep 12 03:05:50 2019 removing 5342558 relations and 3342558 ideals in 2000000 cliques Thu Sep 12 03:05:52 2019 commencing in-memory singleton removal Thu Sep 12 03:05:56 2019 begin with 34931829 relations and 32439964 unique ideals Thu Sep 12 03:06:23 2019 reduce to 34561157 relations and 28711603 ideals in 7 passes Thu Sep 12 03:06:23 2019 max relations containing the same ideal: 71 Thu Sep 12 03:06:49 2019 removing 5337892 relations and 3337892 ideals in 2000000 cliques Thu Sep 12 03:06:52 2019 commencing in-memory singleton removal Thu Sep 12 03:06:55 2019 begin with 29223265 relations and 28711603 unique ideals Thu Sep 12 03:07:18 2019 reduce to 28774124 relations and 24903033 ideals in 7 passes Thu Sep 12 03:07:18 2019 max relations containing the same ideal: 62 Thu Sep 12 03:07:40 2019 removing 5375342 relations and 3375342 ideals in 2000000 cliques Thu Sep 12 03:07:42 2019 commencing in-memory singleton removal Thu Sep 12 03:07:45 2019 begin with 23398782 relations and 24903033 unique ideals Thu Sep 12 03:08:03 2019 reduce to 22791046 relations and 20885051 ideals in 7 passes Thu Sep 12 03:08:03 2019 max relations containing the same ideal: 55 Thu Sep 12 03:08:20 2019 removing 2456635 relations and 1688931 ideals in 767704 cliques Thu Sep 12 03:08:22 2019 commencing in-memory singleton removal Thu Sep 12 03:08:24 2019 begin with 20334411 relations and 20885051 unique ideals Thu Sep 12 03:08:39 2019 reduce to 20086959 relations and 18940848 ideals in 7 passes Thu Sep 12 03:08:39 2019 max relations containing the same ideal: 51 Thu Sep 12 03:08:59 2019 relations with 0 large ideals: 36999 Thu Sep 12 03:08:59 2019 relations with 1 large ideals: 118274 Thu Sep 12 03:08:59 2019 relations with 2 large ideals: 720965 Thu Sep 12 03:08:59 2019 relations with 3 large ideals: 2578636 Thu Sep 12 03:08:59 2019 relations with 4 large ideals: 4846457 Thu Sep 12 03:08:59 2019 relations with 5 large ideals: 5371963 Thu Sep 12 03:08:59 2019 relations with 6 large ideals: 3721139 Thu Sep 12 03:08:59 2019 relations with 7+ large ideals: 2692526 Thu Sep 12 03:08:59 2019 commencing 2-way merge Thu Sep 12 03:09:18 2019 reduce to 13630766 relation sets and 12484655 unique ideals Thu Sep 12 03:09:18 2019 commencing full merge Thu Sep 12 03:14:18 2019 memory use: 1412.8 MB Thu Sep 12 03:14:20 2019 found 7037258 cycles, need 6874855 Thu Sep 12 03:14:25 2019 weight of 6874855 cycles is about 481549398 (70.05/cycle) Thu Sep 12 03:14:25 2019 distribution of cycle lengths: Thu Sep 12 03:14:25 2019 1 relations: 596259 Thu Sep 12 03:14:25 2019 2 relations: 710508 Thu Sep 12 03:14:25 2019 3 relations: 806136 Thu Sep 12 03:14:25 2019 4 relations: 820386 Thu Sep 12 03:14:25 2019 5 relations: 804319 Thu Sep 12 03:14:25 2019 6 relations: 723381 Thu Sep 12 03:14:25 2019 7 relations: 624000 Thu Sep 12 03:14:25 2019 8 relations: 507589 Thu Sep 12 03:14:25 2019 9 relations: 395815 Thu Sep 12 03:14:25 2019 10+ relations: 886462 Thu Sep 12 03:14:25 2019 heaviest cycle: 18 relations Thu Sep 12 03:14:29 2019 commencing cycle optimization Thu Sep 12 03:14:49 2019 start with 38251912 relations Thu Sep 12 03:16:18 2019 pruned 1142114 relations Thu Sep 12 03:16:19 2019 memory use: 1216.4 MB Thu Sep 12 03:16:19 2019 distribution of cycle lengths: Thu Sep 12 03:16:19 2019 1 relations: 596259 Thu Sep 12 03:16:19 2019 2 relations: 725398 Thu Sep 12 03:16:19 2019 3 relations: 837264 Thu Sep 12 03:16:19 2019 4 relations: 849601 Thu Sep 12 03:16:19 2019 5 relations: 836805 Thu Sep 12 03:16:19 2019 6 relations: 747128 Thu Sep 12 03:16:19 2019 7 relations: 638268 Thu Sep 12 03:16:19 2019 8 relations: 507258 Thu Sep 12 03:16:19 2019 9 relations: 386575 Thu Sep 12 03:16:19 2019 10+ relations: 750299 Thu Sep 12 03:16:19 2019 heaviest cycle: 17 relations Thu Sep 12 03:16:34 2019 RelProcTime: 9002 Thu Sep 12 03:16:38 2019 elapsed time 02:30:07 Thu Sep 12 03:16:39 2019 Thu Sep 12 03:16:39 2019 Thu Sep 12 03:16:39 2019 Msieve v. 1.54 (SVN 1030M) Thu Sep 12 03:16:39 2019 random seeds: f2c2bf02 f78c2136 Thu Sep 12 03:16:39 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Thu Sep 12 03:16:40 2019 no P-1/P+1/ECM available, skipping Thu Sep 12 03:16:40 2019 commencing number field sieve (172-digit input) Thu Sep 12 03:16:40 2019 R0: -37779229886181038662693 Thu Sep 12 03:16:40 2019 R1: 167772160000000000000 Thu Sep 12 03:16:40 2019 A0: 16 Thu Sep 12 03:16:40 2019 A1: 320 Thu Sep 12 03:16:40 2019 A2: 1280 Thu Sep 12 03:16:40 2019 A3: 1400 Thu Sep 12 03:16:40 2019 A4: -1200 Thu Sep 12 03:16:40 2019 A5: -3000 Thu Sep 12 03:16:40 2019 A6: -750 Thu Sep 12 03:16:40 2019 A7: 1250 Thu Sep 12 03:16:40 2019 A8: 625 Thu Sep 12 03:16:40 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Thu Sep 12 03:16:40 2019 Thu Sep 12 03:16:40 2019 commencing relation filtering Thu Sep 12 03:16:40 2019 setting target matrix density to 134.0 Thu Sep 12 03:16:40 2019 estimated available RAM is 95375.2 MB Thu Sep 12 03:16:40 2019 commencing duplicate removal, pass 1 3 errors Thu Sep 12 04:03:08 2019 skipped 56 relations with composite factors Thu Sep 12 04:03:08 2019 found 8481989 hash collisions in 196743141 relations Thu Sep 12 04:03:08 2019 added 1 free relations Thu Sep 12 04:03:08 2019 commencing duplicate removal, pass 2 Thu Sep 12 04:04:41 2019 found 0 duplicates and 196743142 unique relations Thu Sep 12 04:04:41 2019 memory use: 522.4 MB Thu Sep 12 04:04:41 2019 reading ideals above 720000 Thu Sep 12 04:04:41 2019 commencing singleton removal, initial pass Thu Sep 12 04:56:57 2019 memory use: 5512.0 MB Thu Sep 12 04:56:57 2019 reading all ideals from disk Thu Sep 12 04:57:03 2019 memory use: 7378.7 MB Thu Sep 12 04:57:38 2019 keeping 167780339 ideals with weight <= 200, target excess is 981285 Thu Sep 12 04:58:21 2019 commencing in-memory singleton removal Thu Sep 12 04:58:48 2019 begin with 196743142 relations and 167780339 unique ideals Thu Sep 12 05:03:02 2019 reduce to 130348114 relations and 94610184 ideals in 12 passes Thu Sep 12 05:03:02 2019 max relations containing the same ideal: 162 Thu Sep 12 05:04:42 2019 removing 9474063 relations and 7474063 ideals in 2000000 cliques Thu Sep 12 05:04:46 2019 commencing in-memory singleton removal Thu Sep 12 05:05:01 2019 begin with 120874051 relations and 94610184 unique ideals Thu Sep 12 05:06:59 2019 reduce to 120361527 relations and 86613772 ideals in 7 passes Thu Sep 12 05:06:59 2019 max relations containing the same ideal: 156 Thu Sep 12 05:08:32 2019 removing 7265409 relations and 5265409 ideals in 2000000 cliques Thu Sep 12 05:08:36 2019 commencing in-memory singleton removal Thu Sep 12 05:08:49 2019 begin with 113096118 relations and 86613772 unique ideals Thu Sep 12 05:10:39 2019 reduce to 112751764 relations and 80998056 ideals in 7 passes Thu Sep 12 05:10:39 2019 max relations containing the same ideal: 151 Thu Sep 12 05:12:04 2019 removing 6632178 relations and 4632178 ideals in 2000000 cliques Thu Sep 12 05:12:08 2019 commencing in-memory singleton removal Thu Sep 12 05:12:20 2019 begin with 106119586 relations and 80998056 unique ideals Thu Sep 12 05:13:46 2019 reduce to 105823574 relations and 76064629 ideals in 6 passes Thu Sep 12 05:13:46 2019 max relations containing the same ideal: 145 Thu Sep 12 05:15:05 2019 removing 6294760 relations and 4294760 ideals in 2000000 cliques Thu Sep 12 05:15:09 2019 commencing in-memory singleton removal Thu Sep 12 05:15:21 2019 begin with 99528814 relations and 76064629 unique ideals Thu Sep 12 05:16:53 2019 reduce to 99258020 relations and 71494100 ideals in 7 passes Thu Sep 12 05:16:53 2019 max relations containing the same ideal: 139 Thu Sep 12 05:18:08 2019 removing 6068861 relations and 4068861 ideals in 2000000 cliques Thu Sep 12 05:18:11 2019 commencing in-memory singleton removal Thu Sep 12 05:18:22 2019 begin with 93189159 relations and 71494100 unique ideals Thu Sep 12 05:19:50 2019 reduce to 92932166 relations and 67163420 ideals in 7 passes Thu Sep 12 05:19:50 2019 max relations containing the same ideal: 135 Thu Sep 12 05:21:00 2019 removing 5909611 relations and 3909611 ideals in 2000000 cliques Thu Sep 12 05:21:03 2019 commencing in-memory singleton removal Thu Sep 12 05:21:13 2019 begin with 87022555 relations and 67163420 unique ideals Thu Sep 12 05:22:32 2019 reduce to 86772329 relations and 62998560 ideals in 7 passes Thu Sep 12 05:22:32 2019 max relations containing the same ideal: 130 Thu Sep 12 05:23:37 2019 removing 5787545 relations and 3787545 ideals in 2000000 cliques Thu Sep 12 05:23:40 2019 commencing in-memory singleton removal Thu Sep 12 05:23:49 2019 begin with 80984784 relations and 62998560 unique ideals Thu Sep 12 05:24:51 2019 reduce to 80737010 relations and 58958063 ideals in 6 passes Thu Sep 12 05:24:51 2019 max relations containing the same ideal: 119 Thu Sep 12 05:25:52 2019 removing 5688314 relations and 3688314 ideals in 2000000 cliques Thu Sep 12 05:25:55 2019 commencing in-memory singleton removal Thu Sep 12 05:26:04 2019 begin with 75048696 relations and 58958063 unique ideals Thu Sep 12 05:27:00 2019 reduce to 74800245 relations and 55015800 ideals in 6 passes Thu Sep 12 05:27:00 2019 max relations containing the same ideal: 114 Thu Sep 12 05:27:56 2019 removing 5610506 relations and 3610506 ideals in 2000000 cliques Thu Sep 12 05:27:59 2019 commencing in-memory singleton removal Thu Sep 12 05:28:07 2019 begin with 69189739 relations and 55015800 unique ideals Thu Sep 12 05:28:59 2019 reduce to 68938490 relations and 51148161 ideals in 6 passes Thu Sep 12 05:28:59 2019 max relations containing the same ideal: 111 Thu Sep 12 05:29:52 2019 removing 5545618 relations and 3545618 ideals in 2000000 cliques Thu Sep 12 05:29:55 2019 commencing in-memory singleton removal Thu Sep 12 05:30:02 2019 begin with 63392872 relations and 51148161 unique ideals Thu Sep 12 05:30:50 2019 reduce to 63134982 relations and 47338001 ideals in 6 passes Thu Sep 12 05:30:50 2019 max relations containing the same ideal: 106 Thu Sep 12 05:31:39 2019 removing 5488027 relations and 3488027 ideals in 2000000 cliques Thu Sep 12 05:31:41 2019 commencing in-memory singleton removal Thu Sep 12 05:31:48 2019 begin with 57646955 relations and 47338001 unique ideals Thu Sep 12 05:32:30 2019 reduce to 57381606 relations and 43577339 ideals in 6 passes Thu Sep 12 05:32:30 2019 max relations containing the same ideal: 100 Thu Sep 12 05:33:13 2019 removing 5441440 relations and 3441440 ideals in 2000000 cliques Thu Sep 12 05:33:16 2019 commencing in-memory singleton removal Thu Sep 12 05:33:22 2019 begin with 51940166 relations and 43577339 unique ideals Thu Sep 12 05:33:59 2019 reduce to 51661271 relations and 39848612 ideals in 6 passes Thu Sep 12 05:33:59 2019 max relations containing the same ideal: 94 Thu Sep 12 05:34:38 2019 removing 5398851 relations and 3398851 ideals in 2000000 cliques Thu Sep 12 05:34:40 2019 commencing in-memory singleton removal Thu Sep 12 05:34:45 2019 begin with 46262420 relations and 39848612 unique ideals Thu Sep 12 05:35:18 2019 reduce to 45965253 relations and 36142798 ideals in 6 passes Thu Sep 12 05:35:18 2019 max relations containing the same ideal: 84 Thu Sep 12 05:35:53 2019 removing 5366171 relations and 3366171 ideals in 2000000 cliques Thu Sep 12 05:35:55 2019 commencing in-memory singleton removal Thu Sep 12 05:36:00 2019 begin with 40599082 relations and 36142798 unique ideals Thu Sep 12 05:36:29 2019 reduce to 40274388 relations and 32439964 ideals in 6 passes Thu Sep 12 05:36:29 2019 max relations containing the same ideal: 77 Thu Sep 12 05:36:59 2019 removing 5342558 relations and 3342558 ideals in 2000000 cliques Thu Sep 12 05:37:01 2019 commencing in-memory singleton removal Thu Sep 12 05:37:05 2019 begin with 34931830 relations and 32439964 unique ideals Thu Sep 12 05:37:33 2019 reduce to 34561158 relations and 28711603 ideals in 7 passes Thu Sep 12 05:37:33 2019 max relations containing the same ideal: 71 Thu Sep 12 05:37:59 2019 removing 5337892 relations and 3337892 ideals in 2000000 cliques Thu Sep 12 05:38:02 2019 commencing in-memory singleton removal Thu Sep 12 05:38:05 2019 begin with 29223266 relations and 28711603 unique ideals Thu Sep 12 05:38:28 2019 reduce to 28774125 relations and 24903033 ideals in 7 passes Thu Sep 12 05:38:28 2019 max relations containing the same ideal: 62 Thu Sep 12 05:38:50 2019 removing 5375342 relations and 3375342 ideals in 2000000 cliques Thu Sep 12 05:38:52 2019 commencing in-memory singleton removal Thu Sep 12 05:38:54 2019 begin with 23398783 relations and 24903033 unique ideals Thu Sep 12 05:39:13 2019 reduce to 22791047 relations and 20885051 ideals in 7 passes Thu Sep 12 05:39:13 2019 max relations containing the same ideal: 55 Thu Sep 12 05:39:31 2019 removing 2456637 relations and 1688932 ideals in 767705 cliques Thu Sep 12 05:39:32 2019 commencing in-memory singleton removal Thu Sep 12 05:39:34 2019 begin with 20334410 relations and 20885051 unique ideals Thu Sep 12 05:39:50 2019 reduce to 20086957 relations and 18940846 ideals in 7 passes Thu Sep 12 05:39:50 2019 max relations containing the same ideal: 51 Thu Sep 12 05:40:09 2019 relations with 0 large ideals: 37000 Thu Sep 12 05:40:09 2019 relations with 1 large ideals: 118274 Thu Sep 12 05:40:09 2019 relations with 2 large ideals: 720965 Thu Sep 12 05:40:09 2019 relations with 3 large ideals: 2578636 Thu Sep 12 05:40:09 2019 relations with 4 large ideals: 4846457 Thu Sep 12 05:40:09 2019 relations with 5 large ideals: 5371961 Thu Sep 12 05:40:09 2019 relations with 6 large ideals: 3721138 Thu Sep 12 05:40:09 2019 relations with 7+ large ideals: 2692526 Thu Sep 12 05:40:09 2019 commencing 2-way merge Thu Sep 12 05:40:28 2019 reduce to 13630763 relation sets and 12484652 unique ideals Thu Sep 12 05:40:28 2019 commencing full merge Thu Sep 12 05:54:11 2019 memory use: 594.4 MB Thu Sep 12 05:54:11 2019 found 152141 cycles, need 3281985 Thu Sep 12 05:54:11 2019 too few cycles, matrix probably cannot build Thu Sep 12 05:54:11 2019 filtering wants 1000000 more relations Thu Sep 12 05:54:11 2019 elapsed time 02:37:32 Thu Sep 12 05:54:11 2019 Thu Sep 12 05:54:11 2019 Thu Sep 12 05:54:11 2019 Msieve v. 1.54 (SVN 1030M) Thu Sep 12 05:54:11 2019 random seeds: 4624d2bf 207720d4 Thu Sep 12 05:54:11 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Thu Sep 12 05:54:12 2019 no P-1/P+1/ECM available, skipping Thu Sep 12 05:54:12 2019 commencing number field sieve (172-digit input) Thu Sep 12 05:54:12 2019 R0: -37779229886181038662693 Thu Sep 12 05:54:12 2019 R1: 167772160000000000000 Thu Sep 12 05:54:12 2019 A0: 16 Thu Sep 12 05:54:12 2019 A1: 320 Thu Sep 12 05:54:12 2019 A2: 1280 Thu Sep 12 05:54:12 2019 A3: 1400 Thu Sep 12 05:54:12 2019 A4: -1200 Thu Sep 12 05:54:12 2019 A5: -3000 Thu Sep 12 05:54:12 2019 A6: -750 Thu Sep 12 05:54:12 2019 A7: 1250 Thu Sep 12 05:54:12 2019 A8: 625 Thu Sep 12 05:54:12 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Thu Sep 12 05:54:12 2019 Thu Sep 12 05:54:12 2019 commencing relation filtering Thu Sep 12 05:54:12 2019 setting target matrix density to 102.0 Thu Sep 12 05:54:12 2019 estimated available RAM is 95375.2 MB Thu Sep 12 05:54:12 2019 commencing duplicate removal, pass 1 3 errors Thu Sep 12 06:40:59 2019 skipped 56 relations with composite factors Thu Sep 12 06:40:59 2019 found 8481989 hash collisions in 196743142 relations Thu Sep 12 06:40:59 2019 commencing duplicate removal, pass 2 Thu Sep 12 06:42:34 2019 found 0 duplicates and 196743142 unique relations Thu Sep 12 06:42:34 2019 memory use: 522.4 MB Thu Sep 12 06:42:34 2019 reading ideals above 720000 Thu Sep 12 06:42:35 2019 commencing singleton removal, initial pass Thu Sep 12 07:35:40 2019 memory use: 5512.0 MB Thu Sep 12 07:35:40 2019 reading all ideals from disk Thu Sep 12 07:35:46 2019 memory use: 7378.7 MB Thu Sep 12 07:36:20 2019 keeping 167780339 ideals with weight <= 200, target excess is 981285 Thu Sep 12 07:37:04 2019 commencing in-memory singleton removal Thu Sep 12 07:37:31 2019 begin with 196743142 relations and 167780339 unique ideals Thu Sep 12 07:41:43 2019 reduce to 130348114 relations and 94610184 ideals in 12 passes Thu Sep 12 07:41:43 2019 max relations containing the same ideal: 162 Thu Sep 12 07:43:24 2019 removing 9474063 relations and 7474063 ideals in 2000000 cliques Thu Sep 12 07:43:28 2019 commencing in-memory singleton removal Thu Sep 12 07:43:44 2019 begin with 120874051 relations and 94610184 unique ideals Thu Sep 12 07:45:42 2019 reduce to 120361527 relations and 86613772 ideals in 7 passes Thu Sep 12 07:45:42 2019 max relations containing the same ideal: 156 Thu Sep 12 07:47:12 2019 removing 7265409 relations and 5265409 ideals in 2000000 cliques Thu Sep 12 07:47:16 2019 commencing in-memory singleton removal Thu Sep 12 07:47:29 2019 begin with 113096118 relations and 86613772 unique ideals Thu Sep 12 07:49:17 2019 reduce to 112751764 relations and 80998056 ideals in 7 passes Thu Sep 12 07:49:17 2019 max relations containing the same ideal: 151 Thu Sep 12 07:50:42 2019 removing 6632178 relations and 4632178 ideals in 2000000 cliques Thu Sep 12 07:50:45 2019 commencing in-memory singleton removal Thu Sep 12 07:50:58 2019 begin with 106119586 relations and 80998056 unique ideals Thu Sep 12 07:52:23 2019 reduce to 105823574 relations and 76064629 ideals in 6 passes Thu Sep 12 07:52:23 2019 max relations containing the same ideal: 145 Thu Sep 12 07:53:42 2019 removing 6294760 relations and 4294760 ideals in 2000000 cliques Thu Sep 12 07:53:45 2019 commencing in-memory singleton removal Thu Sep 12 07:53:57 2019 begin with 99528814 relations and 76064629 unique ideals Thu Sep 12 07:55:31 2019 reduce to 99258020 relations and 71494100 ideals in 7 passes Thu Sep 12 07:55:31 2019 max relations containing the same ideal: 139 Thu Sep 12 07:56:48 2019 removing 6068861 relations and 4068861 ideals in 2000000 cliques Thu Sep 12 07:56:51 2019 commencing in-memory singleton removal Thu Sep 12 07:57:03 2019 begin with 93189159 relations and 71494100 unique ideals Thu Sep 12 07:58:33 2019 reduce to 92932166 relations and 67163420 ideals in 7 passes Thu Sep 12 07:58:33 2019 max relations containing the same ideal: 135 Thu Sep 12 07:59:45 2019 removing 5909611 relations and 3909611 ideals in 2000000 cliques Thu Sep 12 07:59:49 2019 commencing in-memory singleton removal Thu Sep 12 07:59:59 2019 begin with 87022555 relations and 67163420 unique ideals Thu Sep 12 08:01:18 2019 reduce to 86772329 relations and 62998560 ideals in 7 passes Thu Sep 12 08:01:18 2019 max relations containing the same ideal: 130 Thu Sep 12 08:02:25 2019 removing 5787545 relations and 3787545 ideals in 2000000 cliques Thu Sep 12 08:02:28 2019 commencing in-memory singleton removal Thu Sep 12 08:02:37 2019 begin with 80984784 relations and 62998560 unique ideals Thu Sep 12 08:03:39 2019 reduce to 80737010 relations and 58958063 ideals in 6 passes Thu Sep 12 08:03:39 2019 max relations containing the same ideal: 119 Thu Sep 12 08:04:40 2019 removing 5688314 relations and 3688314 ideals in 2000000 cliques Thu Sep 12 08:04:44 2019 commencing in-memory singleton removal Thu Sep 12 08:04:53 2019 begin with 75048696 relations and 58958063 unique ideals Thu Sep 12 08:05:52 2019 reduce to 74800245 relations and 55015800 ideals in 6 passes Thu Sep 12 08:05:52 2019 max relations containing the same ideal: 114 Thu Sep 12 08:06:49 2019 removing 5610506 relations and 3610506 ideals in 2000000 cliques Thu Sep 12 08:06:52 2019 commencing in-memory singleton removal Thu Sep 12 08:07:00 2019 begin with 69189739 relations and 55015800 unique ideals Thu Sep 12 08:07:51 2019 reduce to 68938490 relations and 51148161 ideals in 6 passes Thu Sep 12 08:07:51 2019 max relations containing the same ideal: 111 Thu Sep 12 08:08:43 2019 removing 5545618 relations and 3545618 ideals in 2000000 cliques Thu Sep 12 08:08:46 2019 commencing in-memory singleton removal Thu Sep 12 08:08:53 2019 begin with 63392872 relations and 51148161 unique ideals Thu Sep 12 08:09:40 2019 reduce to 63134982 relations and 47338001 ideals in 6 passes Thu Sep 12 08:09:40 2019 max relations containing the same ideal: 106 Thu Sep 12 08:10:28 2019 removing 5488027 relations and 3488027 ideals in 2000000 cliques Thu Sep 12 08:10:31 2019 commencing in-memory singleton removal Thu Sep 12 08:10:37 2019 begin with 57646955 relations and 47338001 unique ideals Thu Sep 12 08:11:18 2019 reduce to 57381606 relations and 43577339 ideals in 6 passes Thu Sep 12 08:11:18 2019 max relations containing the same ideal: 100 Thu Sep 12 08:11:59 2019 removing 5441440 relations and 3441440 ideals in 2000000 cliques Thu Sep 12 08:12:02 2019 commencing in-memory singleton removal Thu Sep 12 08:12:07 2019 begin with 51940166 relations and 43577339 unique ideals Thu Sep 12 08:12:44 2019 reduce to 51661271 relations and 39848612 ideals in 6 passes Thu Sep 12 08:12:44 2019 max relations containing the same ideal: 94 Thu Sep 12 08:13:22 2019 removing 5398851 relations and 3398851 ideals in 2000000 cliques Thu Sep 12 08:13:24 2019 commencing in-memory singleton removal Thu Sep 12 08:13:29 2019 begin with 46262420 relations and 39848612 unique ideals Thu Sep 12 08:14:02 2019 reduce to 45965253 relations and 36142798 ideals in 6 passes Thu Sep 12 08:14:02 2019 max relations containing the same ideal: 84 Thu Sep 12 08:14:36 2019 removing 5366171 relations and 3366171 ideals in 2000000 cliques Thu Sep 12 08:14:38 2019 commencing in-memory singleton removal Thu Sep 12 08:14:42 2019 begin with 40599082 relations and 36142798 unique ideals Thu Sep 12 08:15:11 2019 reduce to 40274388 relations and 32439964 ideals in 6 passes Thu Sep 12 08:15:11 2019 max relations containing the same ideal: 77 Thu Sep 12 08:15:41 2019 removing 5342558 relations and 3342558 ideals in 2000000 cliques Thu Sep 12 08:15:44 2019 commencing in-memory singleton removal Thu Sep 12 08:15:47 2019 begin with 34931830 relations and 32439964 unique ideals Thu Sep 12 08:16:15 2019 reduce to 34561158 relations and 28711603 ideals in 7 passes Thu Sep 12 08:16:15 2019 max relations containing the same ideal: 71 Thu Sep 12 08:16:40 2019 removing 5337892 relations and 3337892 ideals in 2000000 cliques Thu Sep 12 08:16:43 2019 commencing in-memory singleton removal Thu Sep 12 08:16:46 2019 begin with 29223266 relations and 28711603 unique ideals Thu Sep 12 08:17:09 2019 reduce to 28774125 relations and 24903033 ideals in 7 passes Thu Sep 12 08:17:09 2019 max relations containing the same ideal: 62 Thu Sep 12 08:17:30 2019 removing 5375342 relations and 3375342 ideals in 2000000 cliques Thu Sep 12 08:17:32 2019 commencing in-memory singleton removal Thu Sep 12 08:17:35 2019 begin with 23398783 relations and 24903033 unique ideals Thu Sep 12 08:17:52 2019 reduce to 22791047 relations and 20885051 ideals in 7 passes Thu Sep 12 08:17:52 2019 max relations containing the same ideal: 55 Thu Sep 12 08:18:10 2019 removing 2456637 relations and 1688932 ideals in 767705 cliques Thu Sep 12 08:18:12 2019 commencing in-memory singleton removal Thu Sep 12 08:18:14 2019 begin with 20334410 relations and 20885051 unique ideals Thu Sep 12 08:18:29 2019 reduce to 20086957 relations and 18940846 ideals in 7 passes Thu Sep 12 08:18:29 2019 max relations containing the same ideal: 51 Thu Sep 12 08:18:49 2019 relations with 0 large ideals: 37000 Thu Sep 12 08:18:49 2019 relations with 1 large ideals: 118274 Thu Sep 12 08:18:49 2019 relations with 2 large ideals: 720965 Thu Sep 12 08:18:49 2019 relations with 3 large ideals: 2578636 Thu Sep 12 08:18:49 2019 relations with 4 large ideals: 4846457 Thu Sep 12 08:18:49 2019 relations with 5 large ideals: 5371961 Thu Sep 12 08:18:49 2019 relations with 6 large ideals: 3721138 Thu Sep 12 08:18:49 2019 relations with 7+ large ideals: 2692526 Thu Sep 12 08:18:49 2019 commencing 2-way merge Thu Sep 12 08:19:08 2019 reduce to 13630763 relation sets and 12484652 unique ideals Thu Sep 12 08:19:08 2019 commencing full merge Thu Sep 12 08:26:08 2019 memory use: 1463.6 MB Thu Sep 12 08:26:10 2019 found 6174847 cycles, need 6048852 Thu Sep 12 08:26:14 2019 weight of 6048852 cycles is about 617024978 (102.01/cycle) Thu Sep 12 08:26:14 2019 distribution of cycle lengths: Thu Sep 12 08:26:14 2019 1 relations: 289046 Thu Sep 12 08:26:14 2019 2 relations: 362601 Thu Sep 12 08:26:14 2019 3 relations: 436459 Thu Sep 12 08:26:14 2019 4 relations: 474308 Thu Sep 12 08:26:14 2019 5 relations: 502909 Thu Sep 12 08:26:14 2019 6 relations: 504255 Thu Sep 12 08:26:14 2019 7 relations: 493965 Thu Sep 12 08:26:14 2019 8 relations: 464222 Thu Sep 12 08:26:14 2019 9 relations: 425994 Thu Sep 12 08:26:14 2019 10+ relations: 2095093 Thu Sep 12 08:26:14 2019 heaviest cycle: 25 relations Thu Sep 12 08:26:18 2019 commencing cycle optimization Thu Sep 12 08:26:40 2019 start with 49005456 relations Thu Sep 12 08:29:36 2019 pruned 2266089 relations Thu Sep 12 08:29:37 2019 memory use: 1324.4 MB Thu Sep 12 08:29:37 2019 distribution of cycle lengths: Thu Sep 12 08:29:37 2019 1 relations: 289046 Thu Sep 12 08:29:37 2019 2 relations: 371377 Thu Sep 12 08:29:37 2019 3 relations: 454925 Thu Sep 12 08:29:37 2019 4 relations: 496246 Thu Sep 12 08:29:37 2019 5 relations: 531296 Thu Sep 12 08:29:37 2019 6 relations: 533109 Thu Sep 12 08:29:37 2019 7 relations: 523705 Thu Sep 12 08:29:37 2019 8 relations: 489102 Thu Sep 12 08:29:37 2019 9 relations: 446002 Thu Sep 12 08:29:37 2019 10+ relations: 1914044 Thu Sep 12 08:29:37 2019 heaviest cycle: 25 relations Thu Sep 12 08:29:56 2019 RelProcTime: 9344 Thu Sep 12 08:29:56 2019 elapsed time 02:35:45 Thu Sep 12 08:29:57 2019 Thu Sep 12 08:29:57 2019 Thu Sep 12 08:29:57 2019 Msieve v. 1.54 (SVN 1030M) Thu Sep 12 08:29:57 2019 random seeds: ebe1103c 4609df71 Thu Sep 12 08:29:57 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Thu Sep 12 08:29:58 2019 no P-1/P+1/ECM available, skipping Thu Sep 12 08:29:58 2019 commencing number field sieve (172-digit input) Thu Sep 12 08:29:58 2019 R0: -37779229886181038662693 Thu Sep 12 08:29:58 2019 R1: 167772160000000000000 Thu Sep 12 08:29:58 2019 A0: 16 Thu Sep 12 08:29:58 2019 A1: 320 Thu Sep 12 08:29:58 2019 A2: 1280 Thu Sep 12 08:29:58 2019 A3: 1400 Thu Sep 12 08:29:58 2019 A4: -1200 Thu Sep 12 08:29:58 2019 A5: -3000 Thu Sep 12 08:29:58 2019 A6: -750 Thu Sep 12 08:29:58 2019 A7: 1250 Thu Sep 12 08:29:58 2019 A8: 625 Thu Sep 12 08:29:58 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Thu Sep 12 08:29:58 2019 Thu Sep 12 08:29:58 2019 commencing relation filtering Thu Sep 12 08:29:58 2019 setting target matrix density to 118.0 Thu Sep 12 08:29:58 2019 estimated available RAM is 95375.2 MB Thu Sep 12 08:29:58 2019 commencing duplicate removal, pass 1 3 errors Thu Sep 12 09:17:04 2019 skipped 56 relations with composite factors Thu Sep 12 09:17:04 2019 found 8481989 hash collisions in 196743142 relations Thu Sep 12 09:17:04 2019 commencing duplicate removal, pass 2 Thu Sep 12 09:18:41 2019 found 0 duplicates and 196743142 unique relations Thu Sep 12 09:18:41 2019 memory use: 522.4 MB Thu Sep 12 09:18:41 2019 reading ideals above 720000 Thu Sep 12 09:18:41 2019 commencing singleton removal, initial pass Thu Sep 12 10:11:39 2019 memory use: 5512.0 MB Thu Sep 12 10:11:39 2019 reading all ideals from disk Thu Sep 12 10:11:45 2019 memory use: 7378.7 MB Thu Sep 12 10:12:20 2019 keeping 167780339 ideals with weight <= 200, target excess is 981285 Thu Sep 12 10:13:04 2019 commencing in-memory singleton removal Thu Sep 12 10:13:30 2019 begin with 196743142 relations and 167780339 unique ideals Thu Sep 12 10:17:44 2019 reduce to 130348114 relations and 94610184 ideals in 12 passes Thu Sep 12 10:17:44 2019 max relations containing the same ideal: 162 Thu Sep 12 10:19:27 2019 removing 9474063 relations and 7474063 ideals in 2000000 cliques Thu Sep 12 10:19:31 2019 commencing in-memory singleton removal Thu Sep 12 10:19:46 2019 begin with 120874051 relations and 94610184 unique ideals Thu Sep 12 10:21:44 2019 reduce to 120361527 relations and 86613772 ideals in 7 passes Thu Sep 12 10:21:44 2019 max relations containing the same ideal: 156 Thu Sep 12 10:23:15 2019 removing 7265409 relations and 5265409 ideals in 2000000 cliques Thu Sep 12 10:23:19 2019 commencing in-memory singleton removal Thu Sep 12 10:23:33 2019 begin with 113096118 relations and 86613772 unique ideals Thu Sep 12 10:25:24 2019 reduce to 112751764 relations and 80998056 ideals in 7 passes Thu Sep 12 10:25:24 2019 max relations containing the same ideal: 151 Thu Sep 12 10:26:48 2019 removing 6632178 relations and 4632178 ideals in 2000000 cliques Thu Sep 12 10:26:52 2019 commencing in-memory singleton removal Thu Sep 12 10:27:04 2019 begin with 106119586 relations and 80998056 unique ideals Thu Sep 12 10:28:30 2019 reduce to 105823574 relations and 76064629 ideals in 6 passes Thu Sep 12 10:28:30 2019 max relations containing the same ideal: 145 Thu Sep 12 10:29:49 2019 removing 6294760 relations and 4294760 ideals in 2000000 cliques Thu Sep 12 10:29:52 2019 commencing in-memory singleton removal Thu Sep 12 10:30:04 2019 begin with 99528814 relations and 76064629 unique ideals Thu Sep 12 10:31:36 2019 reduce to 99258020 relations and 71494100 ideals in 7 passes Thu Sep 12 10:31:36 2019 max relations containing the same ideal: 139 Thu Sep 12 10:32:51 2019 removing 6068861 relations and 4068861 ideals in 2000000 cliques Thu Sep 12 10:32:54 2019 commencing in-memory singleton removal Thu Sep 12 10:33:05 2019 begin with 93189159 relations and 71494100 unique ideals Thu Sep 12 10:34:31 2019 reduce to 92932166 relations and 67163420 ideals in 7 passes Thu Sep 12 10:34:31 2019 max relations containing the same ideal: 135 Thu Sep 12 10:35:40 2019 removing 5909611 relations and 3909611 ideals in 2000000 cliques Thu Sep 12 10:35:43 2019 commencing in-memory singleton removal Thu Sep 12 10:35:53 2019 begin with 87022555 relations and 67163420 unique ideals Thu Sep 12 10:37:12 2019 reduce to 86772329 relations and 62998560 ideals in 7 passes Thu Sep 12 10:37:12 2019 max relations containing the same ideal: 130 Thu Sep 12 10:38:17 2019 removing 5787545 relations and 3787545 ideals in 2000000 cliques Thu Sep 12 10:38:20 2019 commencing in-memory singleton removal Thu Sep 12 10:38:29 2019 begin with 80984784 relations and 62998560 unique ideals Thu Sep 12 10:39:31 2019 reduce to 80737010 relations and 58958063 ideals in 6 passes Thu Sep 12 10:39:31 2019 max relations containing the same ideal: 119 Thu Sep 12 10:40:31 2019 removing 5688314 relations and 3688314 ideals in 2000000 cliques Thu Sep 12 10:40:34 2019 commencing in-memory singleton removal Thu Sep 12 10:40:43 2019 begin with 75048696 relations and 58958063 unique ideals Thu Sep 12 10:41:39 2019 reduce to 74800245 relations and 55015800 ideals in 6 passes Thu Sep 12 10:41:39 2019 max relations containing the same ideal: 114 Thu Sep 12 10:42:35 2019 removing 5610506 relations and 3610506 ideals in 2000000 cliques Thu Sep 12 10:42:38 2019 commencing in-memory singleton removal Thu Sep 12 10:42:46 2019 begin with 69189739 relations and 55015800 unique ideals Thu Sep 12 10:43:37 2019 reduce to 68938490 relations and 51148161 ideals in 6 passes Thu Sep 12 10:43:37 2019 max relations containing the same ideal: 111 Thu Sep 12 10:44:28 2019 removing 5545618 relations and 3545618 ideals in 2000000 cliques Thu Sep 12 10:44:31 2019 commencing in-memory singleton removal Thu Sep 12 10:44:38 2019 begin with 63392872 relations and 51148161 unique ideals Thu Sep 12 10:45:25 2019 reduce to 63134982 relations and 47338001 ideals in 6 passes Thu Sep 12 10:45:25 2019 max relations containing the same ideal: 106 Thu Sep 12 10:46:12 2019 removing 5488027 relations and 3488027 ideals in 2000000 cliques Thu Sep 12 10:46:15 2019 commencing in-memory singleton removal Thu Sep 12 10:46:22 2019 begin with 57646955 relations and 47338001 unique ideals Thu Sep 12 10:47:04 2019 reduce to 57381606 relations and 43577339 ideals in 6 passes Thu Sep 12 10:47:04 2019 max relations containing the same ideal: 100 Thu Sep 12 10:47:47 2019 removing 5441440 relations and 3441440 ideals in 2000000 cliques Thu Sep 12 10:47:50 2019 commencing in-memory singleton removal Thu Sep 12 10:47:55 2019 begin with 51940166 relations and 43577339 unique ideals Thu Sep 12 10:48:34 2019 reduce to 51661271 relations and 39848612 ideals in 6 passes Thu Sep 12 10:48:34 2019 max relations containing the same ideal: 94 Thu Sep 12 10:49:13 2019 removing 5398851 relations and 3398851 ideals in 2000000 cliques Thu Sep 12 10:49:15 2019 commencing in-memory singleton removal Thu Sep 12 10:49:20 2019 begin with 46262420 relations and 39848612 unique ideals Thu Sep 12 10:49:54 2019 reduce to 45965253 relations and 36142798 ideals in 6 passes Thu Sep 12 10:49:54 2019 max relations containing the same ideal: 84 Thu Sep 12 10:50:29 2019 removing 5366171 relations and 3366171 ideals in 2000000 cliques Thu Sep 12 10:50:31 2019 commencing in-memory singleton removal Thu Sep 12 10:50:35 2019 begin with 40599082 relations and 36142798 unique ideals Thu Sep 12 10:51:05 2019 reduce to 40274388 relations and 32439964 ideals in 6 passes Thu Sep 12 10:51:05 2019 max relations containing the same ideal: 77 Thu Sep 12 10:51:36 2019 removing 5342558 relations and 3342558 ideals in 2000000 cliques Thu Sep 12 10:51:38 2019 commencing in-memory singleton removal Thu Sep 12 10:51:42 2019 begin with 34931830 relations and 32439964 unique ideals Thu Sep 12 10:52:11 2019 reduce to 34561158 relations and 28711603 ideals in 7 passes Thu Sep 12 10:52:11 2019 max relations containing the same ideal: 71 Thu Sep 12 10:52:37 2019 removing 5337892 relations and 3337892 ideals in 2000000 cliques Thu Sep 12 10:52:40 2019 commencing in-memory singleton removal Thu Sep 12 10:52:43 2019 begin with 29223266 relations and 28711603 unique ideals Thu Sep 12 10:53:07 2019 reduce to 28774125 relations and 24903033 ideals in 7 passes Thu Sep 12 10:53:07 2019 max relations containing the same ideal: 62 Thu Sep 12 10:53:29 2019 removing 5375342 relations and 3375342 ideals in 2000000 cliques Thu Sep 12 10:53:32 2019 commencing in-memory singleton removal Thu Sep 12 10:53:34 2019 begin with 23398783 relations and 24903033 unique ideals Thu Sep 12 10:53:53 2019 reduce to 22791047 relations and 20885051 ideals in 7 passes Thu Sep 12 10:53:53 2019 max relations containing the same ideal: 55 Thu Sep 12 10:54:11 2019 removing 2456637 relations and 1688932 ideals in 767705 cliques Thu Sep 12 10:54:13 2019 commencing in-memory singleton removal Thu Sep 12 10:54:15 2019 begin with 20334410 relations and 20885051 unique ideals Thu Sep 12 10:54:31 2019 reduce to 20086957 relations and 18940846 ideals in 7 passes Thu Sep 12 10:54:31 2019 max relations containing the same ideal: 51 Thu Sep 12 10:54:51 2019 relations with 0 large ideals: 37000 Thu Sep 12 10:54:51 2019 relations with 1 large ideals: 118274 Thu Sep 12 10:54:51 2019 relations with 2 large ideals: 720965 Thu Sep 12 10:54:51 2019 relations with 3 large ideals: 2578636 Thu Sep 12 10:54:51 2019 relations with 4 large ideals: 4846457 Thu Sep 12 10:54:51 2019 relations with 5 large ideals: 5371961 Thu Sep 12 10:54:51 2019 relations with 6 large ideals: 3721138 Thu Sep 12 10:54:51 2019 relations with 7+ large ideals: 2692526 Thu Sep 12 10:54:51 2019 commencing 2-way merge Thu Sep 12 10:55:10 2019 reduce to 13630763 relation sets and 12484652 unique ideals Thu Sep 12 10:55:10 2019 commencing full merge Thu Sep 12 11:03:12 2019 memory use: 1471.9 MB Thu Sep 12 11:03:15 2019 found 5853953 cycles, need 5782852 Thu Sep 12 11:03:18 2019 weight of 5782852 cycles is about 682977430 (118.10/cycle) Thu Sep 12 11:03:18 2019 distribution of cycle lengths: Thu Sep 12 11:03:18 2019 1 relations: 222804 Thu Sep 12 11:03:18 2019 2 relations: 282010 Thu Sep 12 11:03:18 2019 3 relations: 341994 Thu Sep 12 11:03:18 2019 4 relations: 376774 Thu Sep 12 11:03:18 2019 5 relations: 406438 Thu Sep 12 11:03:18 2019 6 relations: 418380 Thu Sep 12 11:03:18 2019 7 relations: 418515 Thu Sep 12 11:03:18 2019 8 relations: 409249 Thu Sep 12 11:03:18 2019 9 relations: 387301 Thu Sep 12 11:03:18 2019 10+ relations: 2519387 Thu Sep 12 11:03:19 2019 heaviest cycle: 28 relations Thu Sep 12 11:03:22 2019 commencing cycle optimization Thu Sep 12 11:03:48 2019 start with 54135772 relations Thu Sep 12 11:07:42 2019 pruned 2898453 relations Thu Sep 12 11:07:42 2019 memory use: 1373.5 MB Thu Sep 12 11:07:42 2019 distribution of cycle lengths: Thu Sep 12 11:07:42 2019 1 relations: 222804 Thu Sep 12 11:07:42 2019 2 relations: 288988 Thu Sep 12 11:07:42 2019 3 relations: 356662 Thu Sep 12 11:07:42 2019 4 relations: 395008 Thu Sep 12 11:07:42 2019 5 relations: 430859 Thu Sep 12 11:07:42 2019 6 relations: 444311 Thu Sep 12 11:07:42 2019 7 relations: 447969 Thu Sep 12 11:07:42 2019 8 relations: 436349 Thu Sep 12 11:07:42 2019 9 relations: 412802 Thu Sep 12 11:07:42 2019 10+ relations: 2347100 Thu Sep 12 11:07:42 2019 heaviest cycle: 28 relations Thu Sep 12 11:08:01 2019 RelProcTime: 9483 Thu Sep 12 11:08:01 2019 elapsed time 02:38:04 Thu Sep 12 11:08:01 2019 Thu Sep 12 11:08:01 2019 Thu Sep 12 11:08:01 2019 Msieve v. 1.54 (SVN 1030M) Thu Sep 12 11:08:01 2019 random seeds: af1a40c4 db336a7d Thu Sep 12 11:08:01 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Thu Sep 12 11:08:03 2019 no P-1/P+1/ECM available, skipping Thu Sep 12 11:08:03 2019 commencing number field sieve (172-digit input) Thu Sep 12 11:08:03 2019 R0: -37779229886181038662693 Thu Sep 12 11:08:03 2019 R1: 167772160000000000000 Thu Sep 12 11:08:03 2019 A0: 16 Thu Sep 12 11:08:03 2019 A1: 320 Thu Sep 12 11:08:03 2019 A2: 1280 Thu Sep 12 11:08:03 2019 A3: 1400 Thu Sep 12 11:08:03 2019 A4: -1200 Thu Sep 12 11:08:03 2019 A5: -3000 Thu Sep 12 11:08:03 2019 A6: -750 Thu Sep 12 11:08:03 2019 A7: 1250 Thu Sep 12 11:08:03 2019 A8: 625 Thu Sep 12 11:08:03 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Thu Sep 12 11:08:03 2019 Thu Sep 12 11:08:03 2019 commencing relation filtering Thu Sep 12 11:08:03 2019 setting target matrix density to 126.0 Thu Sep 12 11:08:03 2019 estimated available RAM is 95375.2 MB Thu Sep 12 11:08:03 2019 commencing duplicate removal, pass 1 3 errors Thu Sep 12 11:54:41 2019 skipped 56 relations with composite factors Thu Sep 12 11:54:41 2019 found 8481989 hash collisions in 196743142 relations Thu Sep 12 11:54:41 2019 commencing duplicate removal, pass 2 Thu Sep 12 11:56:14 2019 found 0 duplicates and 196743142 unique relations Thu Sep 12 11:56:14 2019 memory use: 522.4 MB Thu Sep 12 11:56:14 2019 reading ideals above 720000 Thu Sep 12 11:56:15 2019 commencing singleton removal, initial pass Thu Sep 12 12:48:30 2019 memory use: 5512.0 MB Thu Sep 12 12:48:30 2019 reading all ideals from disk Thu Sep 12 12:48:36 2019 memory use: 7378.7 MB Thu Sep 12 12:49:11 2019 keeping 167780339 ideals with weight <= 200, target excess is 981285 Thu Sep 12 12:49:55 2019 commencing in-memory singleton removal Thu Sep 12 12:50:21 2019 begin with 196743142 relations and 167780339 unique ideals Thu Sep 12 12:54:34 2019 reduce to 130348114 relations and 94610184 ideals in 12 passes Thu Sep 12 12:54:34 2019 max relations containing the same ideal: 162 Thu Sep 12 12:56:14 2019 removing 9474063 relations and 7474063 ideals in 2000000 cliques Thu Sep 12 12:56:19 2019 commencing in-memory singleton removal Thu Sep 12 12:56:34 2019 begin with 120874051 relations and 94610184 unique ideals Thu Sep 12 12:58:31 2019 reduce to 120361527 relations and 86613772 ideals in 7 passes Thu Sep 12 12:58:31 2019 max relations containing the same ideal: 156 Thu Sep 12 13:00:02 2019 removing 7265409 relations and 5265409 ideals in 2000000 cliques Thu Sep 12 13:00:06 2019 commencing in-memory singleton removal Thu Sep 12 13:00:19 2019 begin with 113096118 relations and 86613772 unique ideals Thu Sep 12 13:02:08 2019 reduce to 112751764 relations and 80998056 ideals in 7 passes Thu Sep 12 13:02:08 2019 max relations containing the same ideal: 151 Thu Sep 12 13:03:33 2019 removing 6632178 relations and 4632178 ideals in 2000000 cliques Thu Sep 12 13:03:37 2019 commencing in-memory singleton removal Thu Sep 12 13:03:50 2019 begin with 106119586 relations and 80998056 unique ideals Thu Sep 12 13:05:15 2019 reduce to 105823574 relations and 76064629 ideals in 6 passes Thu Sep 12 13:05:15 2019 max relations containing the same ideal: 145 Thu Sep 12 13:06:34 2019 removing 6294760 relations and 4294760 ideals in 2000000 cliques Thu Sep 12 13:06:38 2019 commencing in-memory singleton removal Thu Sep 12 13:06:49 2019 begin with 99528814 relations and 76064629 unique ideals Thu Sep 12 13:08:23 2019 reduce to 99258020 relations and 71494100 ideals in 7 passes Thu Sep 12 13:08:23 2019 max relations containing the same ideal: 139 Thu Sep 12 13:09:38 2019 removing 6068861 relations and 4068861 ideals in 2000000 cliques Thu Sep 12 13:09:42 2019 commencing in-memory singleton removal Thu Sep 12 13:09:53 2019 begin with 93189159 relations and 71494100 unique ideals Thu Sep 12 13:11:17 2019 reduce to 92932166 relations and 67163420 ideals in 7 passes Thu Sep 12 13:11:17 2019 max relations containing the same ideal: 135 Thu Sep 12 13:12:27 2019 removing 5909611 relations and 3909611 ideals in 2000000 cliques Thu Sep 12 13:12:31 2019 commencing in-memory singleton removal Thu Sep 12 13:12:41 2019 begin with 87022555 relations and 67163420 unique ideals Thu Sep 12 13:14:00 2019 reduce to 86772329 relations and 62998560 ideals in 7 passes Thu Sep 12 13:14:00 2019 max relations containing the same ideal: 130 Thu Sep 12 13:15:05 2019 removing 5787545 relations and 3787545 ideals in 2000000 cliques Thu Sep 12 13:15:08 2019 commencing in-memory singleton removal Thu Sep 12 13:15:17 2019 begin with 80984784 relations and 62998560 unique ideals Thu Sep 12 13:16:19 2019 reduce to 80737010 relations and 58958063 ideals in 6 passes Thu Sep 12 13:16:19 2019 max relations containing the same ideal: 119 Thu Sep 12 13:17:21 2019 removing 5688314 relations and 3688314 ideals in 2000000 cliques Thu Sep 12 13:17:24 2019 commencing in-memory singleton removal Thu Sep 12 13:17:32 2019 begin with 75048696 relations and 58958063 unique ideals Thu Sep 12 13:18:29 2019 reduce to 74800245 relations and 55015800 ideals in 6 passes Thu Sep 12 13:18:29 2019 max relations containing the same ideal: 114 Thu Sep 12 13:19:25 2019 removing 5610506 relations and 3610506 ideals in 2000000 cliques Thu Sep 12 13:19:28 2019 commencing in-memory singleton removal Thu Sep 12 13:19:36 2019 begin with 69189739 relations and 55015800 unique ideals Thu Sep 12 13:20:28 2019 reduce to 68938490 relations and 51148161 ideals in 6 passes Thu Sep 12 13:20:28 2019 max relations containing the same ideal: 111 Thu Sep 12 13:21:20 2019 removing 5545618 relations and 3545618 ideals in 2000000 cliques Thu Sep 12 13:21:22 2019 commencing in-memory singleton removal Thu Sep 12 13:21:30 2019 begin with 63392872 relations and 51148161 unique ideals Thu Sep 12 13:22:16 2019 reduce to 63134982 relations and 47338001 ideals in 6 passes Thu Sep 12 13:22:16 2019 max relations containing the same ideal: 106 Thu Sep 12 13:23:03 2019 removing 5488027 relations and 3488027 ideals in 2000000 cliques Thu Sep 12 13:23:06 2019 commencing in-memory singleton removal Thu Sep 12 13:23:12 2019 begin with 57646955 relations and 47338001 unique ideals Thu Sep 12 13:23:54 2019 reduce to 57381606 relations and 43577339 ideals in 6 passes Thu Sep 12 13:23:54 2019 max relations containing the same ideal: 100 Thu Sep 12 13:24:37 2019 removing 5441440 relations and 3441440 ideals in 2000000 cliques Thu Sep 12 13:24:40 2019 commencing in-memory singleton removal Thu Sep 12 13:24:45 2019 begin with 51940166 relations and 43577339 unique ideals Thu Sep 12 13:25:23 2019 reduce to 51661271 relations and 39848612 ideals in 6 passes Thu Sep 12 13:25:23 2019 max relations containing the same ideal: 94 Thu Sep 12 13:26:03 2019 removing 5398851 relations and 3398851 ideals in 2000000 cliques Thu Sep 12 13:26:05 2019 commencing in-memory singleton removal Thu Sep 12 13:26:11 2019 begin with 46262420 relations and 39848612 unique ideals Thu Sep 12 13:26:44 2019 reduce to 45965253 relations and 36142798 ideals in 6 passes Thu Sep 12 13:26:44 2019 max relations containing the same ideal: 84 Thu Sep 12 13:27:19 2019 removing 5366171 relations and 3366171 ideals in 2000000 cliques Thu Sep 12 13:27:21 2019 commencing in-memory singleton removal Thu Sep 12 13:27:26 2019 begin with 40599082 relations and 36142798 unique ideals Thu Sep 12 13:27:55 2019 reduce to 40274388 relations and 32439964 ideals in 6 passes Thu Sep 12 13:27:55 2019 max relations containing the same ideal: 77 Thu Sep 12 13:28:25 2019 removing 5342558 relations and 3342558 ideals in 2000000 cliques Thu Sep 12 13:28:28 2019 commencing in-memory singleton removal Thu Sep 12 13:28:32 2019 begin with 34931830 relations and 32439964 unique ideals Thu Sep 12 13:29:00 2019 reduce to 34561158 relations and 28711603 ideals in 7 passes Thu Sep 12 13:29:00 2019 max relations containing the same ideal: 71 Thu Sep 12 13:29:26 2019 removing 5337892 relations and 3337892 ideals in 2000000 cliques Thu Sep 12 13:29:29 2019 commencing in-memory singleton removal Thu Sep 12 13:29:32 2019 begin with 29223266 relations and 28711603 unique ideals Thu Sep 12 13:29:55 2019 reduce to 28774125 relations and 24903033 ideals in 7 passes Thu Sep 12 13:29:55 2019 max relations containing the same ideal: 62 Thu Sep 12 13:30:18 2019 removing 5375342 relations and 3375342 ideals in 2000000 cliques Thu Sep 12 13:30:20 2019 commencing in-memory singleton removal Thu Sep 12 13:30:23 2019 begin with 23398783 relations and 24903033 unique ideals Thu Sep 12 13:30:41 2019 reduce to 22791047 relations and 20885051 ideals in 7 passes Thu Sep 12 13:30:41 2019 max relations containing the same ideal: 55 Thu Sep 12 13:30:59 2019 removing 2456637 relations and 1688932 ideals in 767705 cliques Thu Sep 12 13:31:00 2019 commencing in-memory singleton removal Thu Sep 12 13:31:02 2019 begin with 20334410 relations and 20885051 unique ideals Thu Sep 12 13:31:18 2019 reduce to 20086957 relations and 18940846 ideals in 7 passes Thu Sep 12 13:31:18 2019 max relations containing the same ideal: 51 Thu Sep 12 13:31:38 2019 relations with 0 large ideals: 37000 Thu Sep 12 13:31:38 2019 relations with 1 large ideals: 118274 Thu Sep 12 13:31:38 2019 relations with 2 large ideals: 720965 Thu Sep 12 13:31:38 2019 relations with 3 large ideals: 2578636 Thu Sep 12 13:31:38 2019 relations with 4 large ideals: 4846457 Thu Sep 12 13:31:38 2019 relations with 5 large ideals: 5371961 Thu Sep 12 13:31:38 2019 relations with 6 large ideals: 3721138 Thu Sep 12 13:31:38 2019 relations with 7+ large ideals: 2692526 Thu Sep 12 13:31:38 2019 commencing 2-way merge Thu Sep 12 13:31:57 2019 reduce to 13630763 relation sets and 12484652 unique ideals Thu Sep 12 13:31:57 2019 commencing full merge Thu Sep 12 13:40:22 2019 memory use: 1470.5 MB Thu Sep 12 13:40:24 2019 found 5705089 cycles, need 5672852 Thu Sep 12 13:40:28 2019 weight of 5672852 cycles is about 715111557 (126.06/cycle) Thu Sep 12 13:40:28 2019 distribution of cycle lengths: Thu Sep 12 13:40:28 2019 1 relations: 199006 Thu Sep 12 13:40:28 2019 2 relations: 251347 Thu Sep 12 13:40:28 2019 3 relations: 308221 Thu Sep 12 13:40:28 2019 4 relations: 340730 Thu Sep 12 13:40:28 2019 5 relations: 368751 Thu Sep 12 13:40:28 2019 6 relations: 381969 Thu Sep 12 13:40:28 2019 7 relations: 388166 Thu Sep 12 13:40:28 2019 8 relations: 381122 Thu Sep 12 13:40:28 2019 9 relations: 368345 Thu Sep 12 13:40:28 2019 10+ relations: 2685195 Thu Sep 12 13:40:28 2019 heaviest cycle: 28 relations Thu Sep 12 13:40:32 2019 commencing cycle optimization Thu Sep 12 13:40:56 2019 start with 56596535 relations Thu Sep 12 13:45:18 2019 pruned 3217206 relations Thu Sep 12 13:45:18 2019 memory use: 1396.8 MB Thu Sep 12 13:45:18 2019 distribution of cycle lengths: Thu Sep 12 13:45:18 2019 1 relations: 199006 Thu Sep 12 13:45:18 2019 2 relations: 257690 Thu Sep 12 13:45:18 2019 3 relations: 321492 Thu Sep 12 13:45:18 2019 4 relations: 357277 Thu Sep 12 13:45:18 2019 5 relations: 391096 Thu Sep 12 13:45:18 2019 6 relations: 406860 Thu Sep 12 13:45:18 2019 7 relations: 416392 Thu Sep 12 13:45:18 2019 8 relations: 408049 Thu Sep 12 13:45:18 2019 9 relations: 394911 Thu Sep 12 13:45:18 2019 10+ relations: 2520079 Thu Sep 12 13:45:18 2019 heaviest cycle: 28 relations Thu Sep 12 13:45:38 2019 RelProcTime: 9455 Thu Sep 12 13:45:38 2019 elapsed time 02:37:37 Thu Sep 12 13:45:38 2019 Thu Sep 12 13:45:38 2019 Thu Sep 12 13:45:38 2019 Msieve v. 1.54 (SVN 1030M) Thu Sep 12 13:45:38 2019 random seeds: e3146968 93dc40a4 Thu Sep 12 13:45:38 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Thu Sep 12 13:45:40 2019 no P-1/P+1/ECM available, skipping Thu Sep 12 13:45:40 2019 commencing number field sieve (172-digit input) Thu Sep 12 13:45:40 2019 R0: -37779229886181038662693 Thu Sep 12 13:45:40 2019 R1: 167772160000000000000 Thu Sep 12 13:45:40 2019 A0: 16 Thu Sep 12 13:45:40 2019 A1: 320 Thu Sep 12 13:45:40 2019 A2: 1280 Thu Sep 12 13:45:40 2019 A3: 1400 Thu Sep 12 13:45:40 2019 A4: -1200 Thu Sep 12 13:45:40 2019 A5: -3000 Thu Sep 12 13:45:40 2019 A6: -750 Thu Sep 12 13:45:40 2019 A7: 1250 Thu Sep 12 13:45:40 2019 A8: 625 Thu Sep 12 13:45:40 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Thu Sep 12 13:45:40 2019 Thu Sep 12 13:45:40 2019 commencing relation filtering Thu Sep 12 13:45:40 2019 setting target matrix density to 130.0 Thu Sep 12 13:45:40 2019 estimated available RAM is 95375.2 MB Thu Sep 12 13:45:40 2019 commencing duplicate removal, pass 1 3 errors Thu Sep 12 14:32:15 2019 skipped 56 relations with composite factors Thu Sep 12 14:32:15 2019 found 8481989 hash collisions in 196743142 relations Thu Sep 12 14:32:15 2019 commencing duplicate removal, pass 2 Thu Sep 12 14:33:50 2019 found 0 duplicates and 196743142 unique relations Thu Sep 12 14:33:50 2019 memory use: 522.4 MB Thu Sep 12 14:33:50 2019 reading ideals above 720000 Thu Sep 12 14:33:51 2019 commencing singleton removal, initial pass Thu Sep 12 15:26:36 2019 memory use: 5512.0 MB Thu Sep 12 15:26:36 2019 reading all ideals from disk Thu Sep 12 15:26:42 2019 memory use: 7378.7 MB Thu Sep 12 15:27:17 2019 keeping 167780339 ideals with weight <= 200, target excess is 981285 Thu Sep 12 15:28:00 2019 commencing in-memory singleton removal Thu Sep 12 15:28:26 2019 begin with 196743142 relations and 167780339 unique ideals Thu Sep 12 15:32:39 2019 reduce to 130348114 relations and 94610184 ideals in 12 passes Thu Sep 12 15:32:39 2019 max relations containing the same ideal: 162 Thu Sep 12 15:34:19 2019 removing 9474063 relations and 7474063 ideals in 2000000 cliques Thu Sep 12 15:34:23 2019 commencing in-memory singleton removal Thu Sep 12 15:34:38 2019 begin with 120874051 relations and 94610184 unique ideals Thu Sep 12 15:36:37 2019 reduce to 120361527 relations and 86613772 ideals in 7 passes Thu Sep 12 15:36:37 2019 max relations containing the same ideal: 156 Thu Sep 12 15:38:07 2019 removing 7265409 relations and 5265409 ideals in 2000000 cliques Thu Sep 12 15:38:11 2019 commencing in-memory singleton removal Thu Sep 12 15:38:25 2019 begin with 113096118 relations and 86613772 unique ideals Thu Sep 12 15:40:13 2019 reduce to 112751764 relations and 80998056 ideals in 7 passes Thu Sep 12 15:40:13 2019 max relations containing the same ideal: 151 Thu Sep 12 15:41:37 2019 removing 6632178 relations and 4632178 ideals in 2000000 cliques Thu Sep 12 15:41:41 2019 commencing in-memory singleton removal Thu Sep 12 15:41:54 2019 begin with 106119586 relations and 80998056 unique ideals Thu Sep 12 15:43:19 2019 reduce to 105823574 relations and 76064629 ideals in 6 passes Thu Sep 12 15:43:19 2019 max relations containing the same ideal: 145 Thu Sep 12 15:44:37 2019 removing 6294760 relations and 4294760 ideals in 2000000 cliques Thu Sep 12 15:44:41 2019 commencing in-memory singleton removal Thu Sep 12 15:44:52 2019 begin with 99528814 relations and 76064629 unique ideals Thu Sep 12 15:46:24 2019 reduce to 99258020 relations and 71494100 ideals in 7 passes Thu Sep 12 15:46:24 2019 max relations containing the same ideal: 139 Thu Sep 12 15:47:39 2019 removing 6068861 relations and 4068861 ideals in 2000000 cliques Thu Sep 12 15:47:42 2019 commencing in-memory singleton removal Thu Sep 12 15:47:53 2019 begin with 93189159 relations and 71494100 unique ideals Thu Sep 12 15:49:18 2019 reduce to 92932166 relations and 67163420 ideals in 7 passes Thu Sep 12 15:49:18 2019 max relations containing the same ideal: 135 Thu Sep 12 15:50:30 2019 removing 5909611 relations and 3909611 ideals in 2000000 cliques Thu Sep 12 15:50:33 2019 commencing in-memory singleton removal Thu Sep 12 15:50:44 2019 begin with 87022555 relations and 67163420 unique ideals Thu Sep 12 15:52:02 2019 reduce to 86772329 relations and 62998560 ideals in 7 passes Thu Sep 12 15:52:02 2019 max relations containing the same ideal: 130 Thu Sep 12 15:53:07 2019 removing 5787545 relations and 3787545 ideals in 2000000 cliques Thu Sep 12 15:53:10 2019 commencing in-memory singleton removal Thu Sep 12 15:53:20 2019 begin with 80984784 relations and 62998560 unique ideals Thu Sep 12 15:54:22 2019 reduce to 80737010 relations and 58958063 ideals in 6 passes Thu Sep 12 15:54:22 2019 max relations containing the same ideal: 119 Thu Sep 12 15:55:22 2019 removing 5688314 relations and 3688314 ideals in 2000000 cliques Thu Sep 12 15:55:25 2019 commencing in-memory singleton removal Thu Sep 12 15:55:34 2019 begin with 75048696 relations and 58958063 unique ideals Thu Sep 12 15:56:30 2019 reduce to 74800245 relations and 55015800 ideals in 6 passes Thu Sep 12 15:56:30 2019 max relations containing the same ideal: 114 Thu Sep 12 15:57:25 2019 removing 5610506 relations and 3610506 ideals in 2000000 cliques Thu Sep 12 15:57:28 2019 commencing in-memory singleton removal Thu Sep 12 15:57:36 2019 begin with 69189739 relations and 55015800 unique ideals Thu Sep 12 15:58:27 2019 reduce to 68938490 relations and 51148161 ideals in 6 passes Thu Sep 12 15:58:27 2019 max relations containing the same ideal: 111 Thu Sep 12 15:59:19 2019 removing 5545618 relations and 3545618 ideals in 2000000 cliques Thu Sep 12 15:59:22 2019 commencing in-memory singleton removal Thu Sep 12 15:59:29 2019 begin with 63392872 relations and 51148161 unique ideals Thu Sep 12 16:00:15 2019 reduce to 63134982 relations and 47338001 ideals in 6 passes Thu Sep 12 16:00:15 2019 max relations containing the same ideal: 106 Thu Sep 12 16:01:03 2019 removing 5488027 relations and 3488027 ideals in 2000000 cliques Thu Sep 12 16:01:05 2019 commencing in-memory singleton removal Thu Sep 12 16:01:12 2019 begin with 57646955 relations and 47338001 unique ideals Thu Sep 12 16:01:54 2019 reduce to 57381606 relations and 43577339 ideals in 6 passes Thu Sep 12 16:01:54 2019 max relations containing the same ideal: 100 Thu Sep 12 16:02:37 2019 removing 5441440 relations and 3441440 ideals in 2000000 cliques Thu Sep 12 16:02:40 2019 commencing in-memory singleton removal Thu Sep 12 16:02:45 2019 begin with 51940166 relations and 43577339 unique ideals Thu Sep 12 16:03:23 2019 reduce to 51661271 relations and 39848612 ideals in 6 passes Thu Sep 12 16:03:23 2019 max relations containing the same ideal: 94 Thu Sep 12 16:04:03 2019 removing 5398851 relations and 3398851 ideals in 2000000 cliques Thu Sep 12 16:04:05 2019 commencing in-memory singleton removal Thu Sep 12 16:04:10 2019 begin with 46262420 relations and 39848612 unique ideals Thu Sep 12 16:04:43 2019 reduce to 45965253 relations and 36142798 ideals in 6 passes Thu Sep 12 16:04:43 2019 max relations containing the same ideal: 84 Thu Sep 12 16:05:17 2019 removing 5366171 relations and 3366171 ideals in 2000000 cliques Thu Sep 12 16:05:20 2019 commencing in-memory singleton removal Thu Sep 12 16:05:24 2019 begin with 40599082 relations and 36142798 unique ideals Thu Sep 12 16:05:52 2019 reduce to 40274388 relations and 32439964 ideals in 6 passes Thu Sep 12 16:05:52 2019 max relations containing the same ideal: 77 Thu Sep 12 16:06:23 2019 removing 5342558 relations and 3342558 ideals in 2000000 cliques Thu Sep 12 16:06:25 2019 commencing in-memory singleton removal Thu Sep 12 16:06:29 2019 begin with 34931830 relations and 32439964 unique ideals Thu Sep 12 16:06:57 2019 reduce to 34561158 relations and 28711603 ideals in 7 passes Thu Sep 12 16:06:57 2019 max relations containing the same ideal: 71 Thu Sep 12 16:07:23 2019 removing 5337892 relations and 3337892 ideals in 2000000 cliques Thu Sep 12 16:07:26 2019 commencing in-memory singleton removal Thu Sep 12 16:07:29 2019 begin with 29223266 relations and 28711603 unique ideals Thu Sep 12 16:07:52 2019 reduce to 28774125 relations and 24903033 ideals in 7 passes Thu Sep 12 16:07:52 2019 max relations containing the same ideal: 62 Thu Sep 12 16:08:14 2019 removing 5375342 relations and 3375342 ideals in 2000000 cliques Thu Sep 12 16:08:16 2019 commencing in-memory singleton removal Thu Sep 12 16:08:19 2019 begin with 23398783 relations and 24903033 unique ideals Thu Sep 12 16:08:37 2019 reduce to 22791047 relations and 20885051 ideals in 7 passes Thu Sep 12 16:08:37 2019 max relations containing the same ideal: 55 Thu Sep 12 16:08:55 2019 removing 2456637 relations and 1688932 ideals in 767705 cliques Thu Sep 12 16:08:56 2019 commencing in-memory singleton removal Thu Sep 12 16:08:58 2019 begin with 20334410 relations and 20885051 unique ideals Thu Sep 12 16:09:14 2019 reduce to 20086957 relations and 18940846 ideals in 7 passes Thu Sep 12 16:09:14 2019 max relations containing the same ideal: 51 Thu Sep 12 16:09:34 2019 relations with 0 large ideals: 37000 Thu Sep 12 16:09:34 2019 relations with 1 large ideals: 118274 Thu Sep 12 16:09:34 2019 relations with 2 large ideals: 720965 Thu Sep 12 16:09:34 2019 relations with 3 large ideals: 2578636 Thu Sep 12 16:09:34 2019 relations with 4 large ideals: 4846457 Thu Sep 12 16:09:34 2019 relations with 5 large ideals: 5371961 Thu Sep 12 16:09:34 2019 relations with 6 large ideals: 3721138 Thu Sep 12 16:09:34 2019 relations with 7+ large ideals: 2692526 Thu Sep 12 16:09:34 2019 commencing 2-way merge Thu Sep 12 16:09:53 2019 reduce to 13630763 relation sets and 12484652 unique ideals Thu Sep 12 16:09:53 2019 commencing full merge Thu Sep 12 16:18:30 2019 memory use: 1468.7 MB Thu Sep 12 16:18:32 2019 found 5630141 cycles, need 5620852 Thu Sep 12 16:18:36 2019 weight of 5620852 cycles is about 731584621 (130.16/cycle) Thu Sep 12 16:18:36 2019 distribution of cycle lengths: Thu Sep 12 16:18:36 2019 1 relations: 188924 Thu Sep 12 16:18:36 2019 2 relations: 237807 Thu Sep 12 16:18:36 2019 3 relations: 292214 Thu Sep 12 16:18:36 2019 4 relations: 323965 Thu Sep 12 16:18:36 2019 5 relations: 351474 Thu Sep 12 16:18:36 2019 6 relations: 366036 Thu Sep 12 16:18:36 2019 7 relations: 373248 Thu Sep 12 16:18:36 2019 8 relations: 367696 Thu Sep 12 16:18:36 2019 9 relations: 358281 Thu Sep 12 16:18:36 2019 10+ relations: 2761207 Thu Sep 12 16:18:36 2019 heaviest cycle: 28 relations Thu Sep 12 16:18:40 2019 commencing cycle optimization Thu Sep 12 16:19:05 2019 start with 57831814 relations Thu Sep 12 16:23:39 2019 pruned 3379514 relations Thu Sep 12 16:23:40 2019 memory use: 1408.4 MB Thu Sep 12 16:23:40 2019 distribution of cycle lengths: Thu Sep 12 16:23:40 2019 1 relations: 188924 Thu Sep 12 16:23:40 2019 2 relations: 243822 Thu Sep 12 16:23:40 2019 3 relations: 304784 Thu Sep 12 16:23:40 2019 4 relations: 339850 Thu Sep 12 16:23:40 2019 5 relations: 372959 Thu Sep 12 16:23:40 2019 6 relations: 390167 Thu Sep 12 16:23:40 2019 7 relations: 400913 Thu Sep 12 16:23:40 2019 8 relations: 394629 Thu Sep 12 16:23:40 2019 9 relations: 385078 Thu Sep 12 16:23:40 2019 10+ relations: 2599726 Thu Sep 12 16:23:40 2019 heaviest cycle: 28 relations Thu Sep 12 16:23:59 2019 RelProcTime: 9499 Thu Sep 12 16:23:59 2019 elapsed time 02:38:21 Thu Sep 12 16:23:59 2019 Thu Sep 12 16:23:59 2019 Thu Sep 12 16:23:59 2019 Msieve v. 1.54 (SVN 1030M) Thu Sep 12 16:23:59 2019 random seeds: 9991df0c ca3b9417 Thu Sep 12 16:23:59 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Thu Sep 12 16:24:00 2019 no P-1/P+1/ECM available, skipping Thu Sep 12 16:24:00 2019 commencing number field sieve (172-digit input) Thu Sep 12 16:24:00 2019 R0: -37779229886181038662693 Thu Sep 12 16:24:00 2019 R1: 167772160000000000000 Thu Sep 12 16:24:00 2019 A0: 16 Thu Sep 12 16:24:00 2019 A1: 320 Thu Sep 12 16:24:00 2019 A2: 1280 Thu Sep 12 16:24:00 2019 A3: 1400 Thu Sep 12 16:24:00 2019 A4: -1200 Thu Sep 12 16:24:00 2019 A5: -3000 Thu Sep 12 16:24:00 2019 A6: -750 Thu Sep 12 16:24:00 2019 A7: 1250 Thu Sep 12 16:24:01 2019 A8: 625 Thu Sep 12 16:24:01 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Thu Sep 12 16:24:01 2019 Thu Sep 12 16:24:01 2019 commencing relation filtering Thu Sep 12 16:24:01 2019 setting target matrix density to 132.0 Thu Sep 12 16:24:01 2019 estimated available RAM is 95375.2 MB Thu Sep 12 16:24:01 2019 commencing duplicate removal, pass 1 3 errors Thu Sep 12 17:10:31 2019 skipped 56 relations with composite factors Thu Sep 12 17:10:31 2019 found 8481989 hash collisions in 196743142 relations Thu Sep 12 17:10:31 2019 commencing duplicate removal, pass 2 Thu Sep 12 17:12:06 2019 found 0 duplicates and 196743142 unique relations Thu Sep 12 17:12:06 2019 memory use: 522.4 MB Thu Sep 12 17:12:06 2019 reading ideals above 720000 Thu Sep 12 17:12:06 2019 commencing singleton removal, initial pass Thu Sep 12 18:04:56 2019 memory use: 5512.0 MB Thu Sep 12 18:04:57 2019 reading all ideals from disk Thu Sep 12 18:05:03 2019 memory use: 7378.7 MB Thu Sep 12 18:05:37 2019 keeping 167780339 ideals with weight <= 200, target excess is 981285 Thu Sep 12 18:06:21 2019 commencing in-memory singleton removal Thu Sep 12 18:06:48 2019 begin with 196743142 relations and 167780339 unique ideals Thu Sep 12 18:11:00 2019 reduce to 130348114 relations and 94610184 ideals in 12 passes Thu Sep 12 18:11:00 2019 max relations containing the same ideal: 162 Thu Sep 12 18:12:40 2019 removing 9474063 relations and 7474063 ideals in 2000000 cliques Thu Sep 12 18:12:44 2019 commencing in-memory singleton removal Thu Sep 12 18:13:00 2019 begin with 120874051 relations and 94610184 unique ideals Thu Sep 12 18:14:58 2019 reduce to 120361527 relations and 86613772 ideals in 7 passes Thu Sep 12 18:14:58 2019 max relations containing the same ideal: 156 Thu Sep 12 18:16:29 2019 removing 7265409 relations and 5265409 ideals in 2000000 cliques Thu Sep 12 18:16:33 2019 commencing in-memory singleton removal Thu Sep 12 18:16:47 2019 begin with 113096118 relations and 86613772 unique ideals Thu Sep 12 18:18:36 2019 reduce to 112751764 relations and 80998056 ideals in 7 passes Thu Sep 12 18:18:36 2019 max relations containing the same ideal: 151 Thu Sep 12 18:20:01 2019 removing 6632178 relations and 4632178 ideals in 2000000 cliques Thu Sep 12 18:20:05 2019 commencing in-memory singleton removal Thu Sep 12 18:20:18 2019 begin with 106119586 relations and 80998056 unique ideals Thu Sep 12 18:21:44 2019 reduce to 105823574 relations and 76064629 ideals in 6 passes Thu Sep 12 18:21:44 2019 max relations containing the same ideal: 145 Thu Sep 12 18:23:04 2019 removing 6294760 relations and 4294760 ideals in 2000000 cliques Thu Sep 12 18:23:08 2019 commencing in-memory singleton removal Thu Sep 12 18:23:20 2019 begin with 99528814 relations and 76064629 unique ideals Thu Sep 12 18:24:53 2019 reduce to 99258020 relations and 71494100 ideals in 7 passes Thu Sep 12 18:24:53 2019 max relations containing the same ideal: 139 Thu Sep 12 18:26:08 2019 removing 6068861 relations and 4068861 ideals in 2000000 cliques Thu Sep 12 18:26:11 2019 commencing in-memory singleton removal Thu Sep 12 18:26:22 2019 begin with 93189159 relations and 71494100 unique ideals Thu Sep 12 18:27:47 2019 reduce to 92932166 relations and 67163420 ideals in 7 passes Thu Sep 12 18:27:47 2019 max relations containing the same ideal: 135 Thu Sep 12 18:28:57 2019 removing 5909611 relations and 3909611 ideals in 2000000 cliques Thu Sep 12 18:29:00 2019 commencing in-memory singleton removal Thu Sep 12 18:29:10 2019 begin with 87022555 relations and 67163420 unique ideals Thu Sep 12 18:30:28 2019 reduce to 86772329 relations and 62998560 ideals in 7 passes Thu Sep 12 18:30:28 2019 max relations containing the same ideal: 130 Thu Sep 12 18:31:32 2019 removing 5787545 relations and 3787545 ideals in 2000000 cliques Thu Sep 12 18:31:36 2019 commencing in-memory singleton removal Thu Sep 12 18:31:45 2019 begin with 80984784 relations and 62998560 unique ideals Thu Sep 12 18:32:49 2019 reduce to 80737010 relations and 58958063 ideals in 6 passes Thu Sep 12 18:32:49 2019 max relations containing the same ideal: 119 Thu Sep 12 18:33:49 2019 removing 5688314 relations and 3688314 ideals in 2000000 cliques Thu Sep 12 18:33:53 2019 commencing in-memory singleton removal Thu Sep 12 18:34:01 2019 begin with 75048696 relations and 58958063 unique ideals Thu Sep 12 18:34:57 2019 reduce to 74800245 relations and 55015800 ideals in 6 passes Thu Sep 12 18:34:57 2019 max relations containing the same ideal: 114 Thu Sep 12 18:35:53 2019 removing 5610506 relations and 3610506 ideals in 2000000 cliques Thu Sep 12 18:35:56 2019 commencing in-memory singleton removal Thu Sep 12 18:36:03 2019 begin with 69189739 relations and 55015800 unique ideals Thu Sep 12 18:36:54 2019 reduce to 68938490 relations and 51148161 ideals in 6 passes Thu Sep 12 18:36:54 2019 max relations containing the same ideal: 111 Thu Sep 12 18:37:46 2019 removing 5545618 relations and 3545618 ideals in 2000000 cliques Thu Sep 12 18:37:49 2019 commencing in-memory singleton removal Thu Sep 12 18:37:57 2019 begin with 63392872 relations and 51148161 unique ideals Thu Sep 12 18:38:44 2019 reduce to 63134982 relations and 47338001 ideals in 6 passes Thu Sep 12 18:38:44 2019 max relations containing the same ideal: 106 Thu Sep 12 18:39:32 2019 removing 5488027 relations and 3488027 ideals in 2000000 cliques Thu Sep 12 18:39:34 2019 commencing in-memory singleton removal Thu Sep 12 18:39:41 2019 begin with 57646955 relations and 47338001 unique ideals Thu Sep 12 18:40:23 2019 reduce to 57381606 relations and 43577339 ideals in 6 passes Thu Sep 12 18:40:23 2019 max relations containing the same ideal: 100 Thu Sep 12 18:41:06 2019 removing 5441440 relations and 3441440 ideals in 2000000 cliques Thu Sep 12 18:41:08 2019 commencing in-memory singleton removal Thu Sep 12 18:41:14 2019 begin with 51940166 relations and 43577339 unique ideals Thu Sep 12 18:41:52 2019 reduce to 51661271 relations and 39848612 ideals in 6 passes Thu Sep 12 18:41:52 2019 max relations containing the same ideal: 94 Thu Sep 12 18:42:31 2019 removing 5398851 relations and 3398851 ideals in 2000000 cliques Thu Sep 12 18:42:34 2019 commencing in-memory singleton removal Thu Sep 12 18:42:39 2019 begin with 46262420 relations and 39848612 unique ideals Thu Sep 12 18:43:12 2019 reduce to 45965253 relations and 36142798 ideals in 6 passes Thu Sep 12 18:43:12 2019 max relations containing the same ideal: 84 Thu Sep 12 18:43:47 2019 removing 5366171 relations and 3366171 ideals in 2000000 cliques Thu Sep 12 18:43:50 2019 commencing in-memory singleton removal Thu Sep 12 18:43:54 2019 begin with 40599082 relations and 36142798 unique ideals Thu Sep 12 18:44:23 2019 reduce to 40274388 relations and 32439964 ideals in 6 passes Thu Sep 12 18:44:23 2019 max relations containing the same ideal: 77 Thu Sep 12 18:44:54 2019 removing 5342558 relations and 3342558 ideals in 2000000 cliques Thu Sep 12 18:44:56 2019 commencing in-memory singleton removal Thu Sep 12 18:45:00 2019 begin with 34931830 relations and 32439964 unique ideals Thu Sep 12 18:45:28 2019 reduce to 34561158 relations and 28711603 ideals in 7 passes Thu Sep 12 18:45:28 2019 max relations containing the same ideal: 71 Thu Sep 12 18:45:54 2019 removing 5337892 relations and 3337892 ideals in 2000000 cliques Thu Sep 12 18:45:56 2019 commencing in-memory singleton removal Thu Sep 12 18:45:59 2019 begin with 29223266 relations and 28711603 unique ideals Thu Sep 12 18:46:22 2019 reduce to 28774125 relations and 24903033 ideals in 7 passes Thu Sep 12 18:46:22 2019 max relations containing the same ideal: 62 Thu Sep 12 18:46:44 2019 removing 5375342 relations and 3375342 ideals in 2000000 cliques Thu Sep 12 18:46:47 2019 commencing in-memory singleton removal Thu Sep 12 18:46:49 2019 begin with 23398783 relations and 24903033 unique ideals Thu Sep 12 18:47:07 2019 reduce to 22791047 relations and 20885051 ideals in 7 passes Thu Sep 12 18:47:07 2019 max relations containing the same ideal: 55 Thu Sep 12 18:47:24 2019 removing 2456637 relations and 1688932 ideals in 767705 cliques Thu Sep 12 18:47:26 2019 commencing in-memory singleton removal Thu Sep 12 18:47:28 2019 begin with 20334410 relations and 20885051 unique ideals Thu Sep 12 18:47:44 2019 reduce to 20086957 relations and 18940846 ideals in 7 passes Thu Sep 12 18:47:44 2019 max relations containing the same ideal: 51 Thu Sep 12 18:48:04 2019 relations with 0 large ideals: 37000 Thu Sep 12 18:48:04 2019 relations with 1 large ideals: 118274 Thu Sep 12 18:48:04 2019 relations with 2 large ideals: 720965 Thu Sep 12 18:48:04 2019 relations with 3 large ideals: 2578636 Thu Sep 12 18:48:04 2019 relations with 4 large ideals: 4846457 Thu Sep 12 18:48:04 2019 relations with 5 large ideals: 5371961 Thu Sep 12 18:48:04 2019 relations with 6 large ideals: 3721138 Thu Sep 12 18:48:04 2019 relations with 7+ large ideals: 2692526 Thu Sep 12 18:48:04 2019 commencing 2-way merge Thu Sep 12 18:48:23 2019 reduce to 13630763 relation sets and 12484652 unique ideals Thu Sep 12 18:48:23 2019 commencing full merge Thu Sep 12 19:02:13 2019 memory use: 594.4 MB Thu Sep 12 19:02:13 2019 found 152141 cycles, need 3281985 Thu Sep 12 19:02:13 2019 too few cycles, matrix probably cannot build Thu Sep 12 19:02:13 2019 filtering wants 1000000 more relations Thu Sep 12 19:02:13 2019 elapsed time 02:38:14 Fri Sep 13 00:40:48 2019 Fri Sep 13 00:40:48 2019 Fri Sep 13 00:40:48 2019 Msieve v. 1.54 (SVN 1030M) Fri Sep 13 00:40:48 2019 random seeds: 49daf139 26364be0 Fri Sep 13 00:40:48 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Fri Sep 13 00:40:49 2019 no P-1/P+1/ECM available, skipping Fri Sep 13 00:40:49 2019 commencing number field sieve (172-digit input) Fri Sep 13 00:40:49 2019 R0: -37779229886181038662693 Fri Sep 13 00:40:49 2019 R1: 167772160000000000000 Fri Sep 13 00:40:49 2019 A0: 16 Fri Sep 13 00:40:49 2019 A1: 320 Fri Sep 13 00:40:49 2019 A2: 1280 Fri Sep 13 00:40:49 2019 A3: 1400 Fri Sep 13 00:40:49 2019 A4: -1200 Fri Sep 13 00:40:49 2019 A5: -3000 Fri Sep 13 00:40:49 2019 A6: -750 Fri Sep 13 00:40:49 2019 A7: 1250 Fri Sep 13 00:40:49 2019 A8: 625 Fri Sep 13 00:40:49 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Fri Sep 13 00:40:49 2019 Fri Sep 13 00:40:49 2019 commencing linear algebra Fri Sep 13 00:40:50 2019 read 5620852 cycles Fri Sep 13 00:41:04 2019 cycles contain 19510132 unique relations Fri Sep 13 00:42:49 2019 read 19510132 relations Fri Sep 13 00:43:30 2019 using 20 quadratic characters above 4294917295 Fri Sep 13 00:45:13 2019 building initial matrix Fri Sep 13 00:49:38 2019 memory use: 2451.5 MB Fri Sep 13 00:49:41 2019 read 5620852 cycles Fri Sep 13 00:49:42 2019 matrix is 5620675 x 5620852 (2785.9 MB) with weight 786561337 (139.94/col) Fri Sep 13 00:49:42 2019 sparse part has weight 668485986 (118.93/col) Fri Sep 13 00:50:56 2019 filtering completed in 2 passes Fri Sep 13 00:50:57 2019 matrix is 5620581 x 5620750 (2785.9 MB) with weight 786557850 (139.94/col) Fri Sep 13 00:50:57 2019 sparse part has weight 668484587 (118.93/col) Fri Sep 13 00:51:11 2019 matrix starts at (0, 0) Fri Sep 13 00:51:12 2019 matrix is 5620581 x 5620750 (2785.9 MB) with weight 786557850 (139.94/col) Fri Sep 13 00:51:12 2019 sparse part has weight 668484587 (118.93/col) Fri Sep 13 00:51:12 2019 saving the first 240 matrix rows for later Fri Sep 13 00:51:13 2019 matrix includes 256 packed rows Fri Sep 13 00:51:15 2019 matrix is 5620341 x 5620750 (2541.4 MB) with weight 608642289 (108.28/col) Fri Sep 13 00:51:15 2019 sparse part has weight 576292014 (102.53/col) Fri Sep 13 00:51:15 2019 using block size 8192 and superblock size 337920 for processor cache size 14080 kB Fri Sep 13 00:51:30 2019 commencing Lanczos iteration (20 threads) Fri Sep 13 00:51:30 2019 memory use: 3422.9 MB Fri Sep 13 00:51:36 2019 linear algebra at 0.0%, ETA 5h 6m Fri Sep 13 00:51:37 2019 checkpointing every 1230000 dimensions Fri Sep 13 04:39:24 2019 lanczos halted after 22022 iterations (dim = 5620341) Fri Sep 13 04:39:44 2019 recovered 36 nontrivial dependencies Fri Sep 13 04:39:45 2019 BLanczosTime: 14336 Fri Sep 13 04:39:45 2019 elapsed time 03:58:57 Fri Sep 13 04:39:45 2019 Fri Sep 13 04:39:45 2019 Fri Sep 13 04:39:45 2019 Msieve v. 1.54 (SVN 1030M) Fri Sep 13 04:39:45 2019 random seeds: 743c19e6 313b0588 Fri Sep 13 04:39:45 2019 factoring 1909975990808445888146164651697746110657256782726177502109253418492141375907582366875825201072939667405033496001691485372263797728294701331037488347241458060345542219395501 (172 digits) Fri Sep 13 04:39:46 2019 no P-1/P+1/ECM available, skipping Fri Sep 13 04:39:46 2019 commencing number field sieve (172-digit input) Fri Sep 13 04:39:46 2019 R0: -37779229886181038662693 Fri Sep 13 04:39:46 2019 R1: 167772160000000000000 Fri Sep 13 04:39:46 2019 A0: 16 Fri Sep 13 04:39:46 2019 A1: 320 Fri Sep 13 04:39:46 2019 A2: 1280 Fri Sep 13 04:39:46 2019 A3: 1400 Fri Sep 13 04:39:46 2019 A4: -1200 Fri Sep 13 04:39:46 2019 A5: -3000 Fri Sep 13 04:39:46 2019 A6: -750 Fri Sep 13 04:39:46 2019 A7: 1250 Fri Sep 13 04:39:46 2019 A8: 625 Fri Sep 13 04:39:46 2019 skew 0.63, size 1.453e-05, alpha 1.458, combined = 3.407e-13 rroots = 8 Fri Sep 13 04:39:46 2019 Fri Sep 13 04:39:46 2019 commencing square root phase Fri Sep 13 04:39:46 2019 reading relations for dependency 1 Fri Sep 13 04:39:46 2019 read 2809846 cycles Fri Sep 13 04:39:53 2019 cycles contain 9755438 unique relations Fri Sep 13 04:40:49 2019 read 9755438 relations Fri Sep 13 04:41:35 2019 multiplying 9755438 relations Fri Sep 13 04:55:42 2019 multiply complete, coefficients have about 326.68 million bits Fri Sep 13 04:55:45 2019 warning: no irreducible prime found, switching to small primes Fri Sep 13 04:57:43 2019 initial square root is modulo 13 Fri Sep 13 05:19:43 2019 Newton iteration failed to converge Fri Sep 13 05:19:43 2019 algebraic square root failed Fri Sep 13 05:19:43 2019 reading relations for dependency 2 Fri Sep 13 05:19:44 2019 read 2810919 cycles Fri Sep 13 05:19:50 2019 cycles contain 9755268 unique relations Fri Sep 13 05:20:47 2019 read 9755268 relations Fri Sep 13 05:21:31 2019 multiplying 9755268 relations Fri Sep 13 05:35:40 2019 multiply complete, coefficients have about 326.67 million bits Fri Sep 13 05:35:43 2019 warning: no irreducible prime found, switching to small primes Fri Sep 13 05:39:46 2019 initial square root is modulo 13 Fri Sep 13 06:01:39 2019 Newton iteration failed to converge Fri Sep 13 06:01:39 2019 algebraic square root failed Fri Sep 13 06:01:39 2019 reading relations for dependency 3 Fri Sep 13 06:01:39 2019 read 2809192 cycles Fri Sep 13 06:01:45 2019 cycles contain 9754764 unique relations Fri Sep 13 06:02:43 2019 read 9754764 relations Fri Sep 13 06:03:26 2019 multiplying 9754764 relations Fri Sep 13 06:17:35 2019 multiply complete, coefficients have about 326.66 million bits Fri Sep 13 06:17:37 2019 warning: no irreducible prime found, switching to small primes Fri Sep 13 06:18:47 2019 initial square root is modulo 13 Fri Sep 13 06:40:42 2019 Newton iteration failed to converge Fri Sep 13 06:40:42 2019 algebraic square root failed Fri Sep 13 06:40:42 2019 reading relations for dependency 4 Fri Sep 13 06:40:42 2019 read 2808486 cycles Fri Sep 13 06:40:49 2019 cycles contain 9749588 unique relations Fri Sep 13 06:41:47 2019 read 9749588 relations Fri Sep 13 06:42:31 2019 multiplying 9749588 relations Fri Sep 13 06:56:31 2019 multiply complete, coefficients have about 326.49 million bits Fri Sep 13 06:56:33 2019 warning: no irreducible prime found, switching to small primes Fri Sep 13 06:56:57 2019 initial square root is modulo 13 Fri Sep 13 07:18:51 2019 Newton iteration failed to converge Fri Sep 13 07:18:51 2019 algebraic square root failed Fri Sep 13 07:18:51 2019 reading relations for dependency 5 Fri Sep 13 07:18:52 2019 read 2811657 cycles Fri Sep 13 07:18:58 2019 cycles contain 9755716 unique relations Fri Sep 13 07:19:55 2019 read 9755716 relations Fri Sep 13 07:20:39 2019 multiplying 9755716 relations Fri Sep 13 07:34:47 2019 multiply complete, coefficients have about 326.70 million bits Fri Sep 13 07:34:49 2019 warning: no irreducible prime found, switching to small primes Fri Sep 13 07:35:57 2019 initial square root is modulo 13 Fri Sep 13 07:57:50 2019 sqrtTime: 11884 Fri Sep 13 07:57:50 2019 p77 factor: 12607086750483506185559906968578288437541588574675495466707061756847917602501 Fri Sep 13 07:57:50 2019 p96 factor: 151500186253195617217377090288855111882418160274342415062784737049419262483986046503764269293001 Fri Sep 13 07:57:50 2019 elapsed time 03:18:05