Wed Nov 6 09:57:14 2019 Msieve v. 1.52 (SVN exported) Wed Nov 6 09:57:14 2019 random seeds: fc181a0a c1bc3513 Wed Nov 6 09:57:14 2019 factoring 3453468674703923247257578949716572927109152541969930672010383108878273072117209359971041631066047338531213480424063181929613979030756799113828316491136247201377491261729330921852223064662519677 (193 digits) Wed Nov 6 09:57:16 2019 searching for 15-digit factors Wed Nov 6 09:57:19 2019 commencing number field sieve (193-digit input) Wed Nov 6 09:57:19 2019 R0: 6626407623023341735842836810834443894680475442 Wed Nov 6 09:57:19 2019 R1: -318270182965192022252424017587489077700729 Wed Nov 6 09:57:19 2019 A0: -1 Wed Nov 6 09:57:19 2019 A1: 3 Wed Nov 6 09:57:19 2019 A2: 3 Wed Nov 6 09:57:19 2019 A3: -4 Wed Nov 6 09:57:19 2019 A4: -1 Wed Nov 6 09:57:19 2019 A5: 1 Wed Nov 6 09:57:19 2019 skew 1.00, size 1.354e-15, alpha 2.379, combined = 1.146e-12 rroots = 5 Wed Nov 6 09:57:19 2019 Wed Nov 6 09:57:19 2019 commencing relation filtering Wed Nov 6 09:57:19 2019 setting target matrix density to 130.0 Wed Nov 6 09:57:19 2019 estimated available RAM is 5806.4 MB Wed Nov 6 09:57:19 2019 commencing duplicate removal, pass 1 Wed Nov 6 10:25:18 2019 skipped 132 relations with b > 2^32 Wed Nov 6 10:25:18 2019 found 26783066 hash collisions in 143174841 relations Wed Nov 6 10:25:34 2019 added 2926300 free relations Wed Nov 6 10:25:34 2019 commencing duplicate removal, pass 2 Wed Nov 6 10:30:52 2019 found 24635320 duplicates and 121465821 unique relations Wed Nov 6 10:30:52 2019 memory use: 660.8 MB Wed Nov 6 10:30:52 2019 reading ideals above 99942400 Wed Nov 6 10:30:52 2019 commencing singleton removal, initial pass Wed Nov 6 10:59:58 2019 memory use: 2756.0 MB Wed Nov 6 10:59:58 2019 reading all ideals from disk Wed Nov 6 11:00:11 2019 memory use: 1975.8 MB Wed Nov 6 11:00:31 2019 commencing in-memory singleton removal Wed Nov 6 11:00:49 2019 begin with 121465821 relations and 84058355 unique ideals Wed Nov 6 11:03:20 2019 reduce to 93724657 relations and 54336446 ideals in 10 passes Wed Nov 6 11:03:20 2019 max relations containing the same ideal: 43 Wed Nov 6 11:03:38 2019 reading ideals above 720000 Wed Nov 6 11:03:38 2019 commencing singleton removal, initial pass Wed Nov 6 11:32:05 2019 memory use: 1506.0 MB Wed Nov 6 11:32:06 2019 reading large ideals from disk Wed Nov 6 11:33:39 2019 keeping 57927473 ideals with weight <= 20, target excess is 7926359 Wed Nov 6 11:35:14 2019 memory use: 1911.7 MB Wed Nov 6 11:35:14 2019 commencing in-memory singleton removal Wed Nov 6 11:35:28 2019 begin with 93724658 relations and 57927473 unique ideals Wed Nov 6 11:36:27 2019 reduce to 93723973 relations and 57926787 ideals in 4 passes Wed Nov 6 11:36:27 2019 max relations containing the same ideal: 20 Wed Nov 6 11:37:37 2019 removing 6819642 relations and 4819642 ideals in 2000000 cliques Wed Nov 6 11:37:40 2019 commencing in-memory singleton removal Wed Nov 6 11:37:53 2019 begin with 86904331 relations and 57926787 unique ideals Wed Nov 6 11:39:19 2019 reduce to 86411370 relations and 52600928 ideals in 7 passes Wed Nov 6 11:39:19 2019 max relations containing the same ideal: 20 Wed Nov 6 11:40:18 2019 removing 5699751 relations and 3699751 ideals in 2000000 cliques Wed Nov 6 11:40:22 2019 commencing in-memory singleton removal Wed Nov 6 11:40:33 2019 begin with 80711619 relations and 52600928 unique ideals Wed Nov 6 11:41:39 2019 reduce to 80379148 relations and 48560791 ideals in 6 passes Wed Nov 6 11:41:39 2019 max relations containing the same ideal: 20 Wed Nov 6 11:42:35 2019 removing 5388537 relations and 3388537 ideals in 2000000 cliques Wed Nov 6 11:42:39 2019 commencing in-memory singleton removal Wed Nov 6 11:42:51 2019 begin with 74990611 relations and 48560791 unique ideals Wed Nov 6 11:43:53 2019 reduce to 74705158 relations and 44879913 ideals in 6 passes Wed Nov 6 11:43:53 2019 max relations containing the same ideal: 20 Wed Nov 6 11:44:44 2019 removing 5213144 relations and 3213144 ideals in 2000000 cliques Wed Nov 6 11:44:48 2019 commencing in-memory singleton removal Wed Nov 6 11:44:57 2019 begin with 69492014 relations and 44879913 unique ideals Wed Nov 6 11:45:50 2019 reduce to 69226434 relations and 41394553 ideals in 6 passes Wed Nov 6 11:45:50 2019 max relations containing the same ideal: 20 Wed Nov 6 11:46:35 2019 removing 5125932 relations and 3125932 ideals in 2000000 cliques Wed Nov 6 11:46:38 2019 commencing in-memory singleton removal Wed Nov 6 11:46:46 2019 begin with 64100502 relations and 41394553 unique ideals Wed Nov 6 11:47:32 2019 reduce to 63850247 relations and 38011801 ideals in 6 passes Wed Nov 6 11:47:32 2019 max relations containing the same ideal: 20 Wed Nov 6 11:48:11 2019 removing 5043946 relations and 3043946 ideals in 2000000 cliques Wed Nov 6 11:48:14 2019 commencing in-memory singleton removal Wed Nov 6 11:48:21 2019 begin with 58806301 relations and 38011801 unique ideals Wed Nov 6 11:49:01 2019 reduce to 58550993 relations and 34705338 ideals in 6 passes Wed Nov 6 11:49:01 2019 max relations containing the same ideal: 20 Wed Nov 6 11:49:36 2019 removing 4985203 relations and 2985203 ideals in 2000000 cliques Wed Nov 6 11:49:39 2019 commencing in-memory singleton removal Wed Nov 6 11:49:45 2019 begin with 53565790 relations and 34705338 unique ideals Wed Nov 6 11:50:20 2019 reduce to 53297696 relations and 31443873 ideals in 6 passes Wed Nov 6 11:50:20 2019 max relations containing the same ideal: 20 Wed Nov 6 11:50:52 2019 removing 4955615 relations and 2955615 ideals in 2000000 cliques Wed Nov 6 11:50:55 2019 commencing in-memory singleton removal Wed Nov 6 11:50:59 2019 begin with 48342081 relations and 31443873 unique ideals Wed Nov 6 11:51:30 2019 reduce to 48070729 relations and 28207946 ideals in 6 passes Wed Nov 6 11:51:30 2019 max relations containing the same ideal: 20 Wed Nov 6 11:51:58 2019 removing 4933335 relations and 2933335 ideals in 2000000 cliques Wed Nov 6 11:52:00 2019 commencing in-memory singleton removal Wed Nov 6 11:52:05 2019 begin with 43137394 relations and 28207946 unique ideals Wed Nov 6 11:52:39 2019 reduce to 42853823 relations and 24981401 ideals in 8 passes Wed Nov 6 11:52:39 2019 max relations containing the same ideal: 20 Wed Nov 6 11:53:03 2019 removing 4896602 relations and 2896602 ideals in 2000000 cliques Wed Nov 6 11:53:06 2019 commencing in-memory singleton removal Wed Nov 6 11:53:09 2019 begin with 37957221 relations and 24981401 unique ideals Wed Nov 6 11:53:30 2019 reduce to 37605353 relations and 21718436 ideals in 6 passes Wed Nov 6 11:53:30 2019 max relations containing the same ideal: 20 Wed Nov 6 11:53:51 2019 removing 4913249 relations and 2913249 ideals in 2000000 cliques Wed Nov 6 11:53:54 2019 commencing in-memory singleton removal Wed Nov 6 11:53:56 2019 begin with 32692104 relations and 21718436 unique ideals Wed Nov 6 11:54:16 2019 reduce to 32333138 relations and 18429855 ideals in 7 passes Wed Nov 6 11:54:16 2019 max relations containing the same ideal: 19 Wed Nov 6 11:54:33 2019 removing 4915125 relations and 2915125 ideals in 2000000 cliques Wed Nov 6 11:54:35 2019 commencing in-memory singleton removal Wed Nov 6 11:54:37 2019 begin with 27418013 relations and 18429855 unique ideals Wed Nov 6 11:54:52 2019 reduce to 26992987 relations and 15066558 ideals in 7 passes Wed Nov 6 11:54:52 2019 max relations containing the same ideal: 17 Wed Nov 6 11:55:05 2019 removing 4935333 relations and 2935333 ideals in 2000000 cliques Wed Nov 6 11:55:07 2019 commencing in-memory singleton removal Wed Nov 6 11:55:09 2019 begin with 22057654 relations and 15066558 unique ideals Wed Nov 6 11:55:19 2019 reduce to 21568449 relations and 11609441 ideals in 7 passes Wed Nov 6 11:55:19 2019 max relations containing the same ideal: 15 Wed Nov 6 11:55:29 2019 removing 1897618 relations and 1133187 ideals in 764431 cliques Wed Nov 6 11:55:31 2019 commencing in-memory singleton removal Wed Nov 6 11:55:32 2019 begin with 19670831 relations and 11609441 unique ideals Wed Nov 6 11:55:40 2019 reduce to 19457374 relations and 10253607 ideals in 7 passes Wed Nov 6 11:55:40 2019 max relations containing the same ideal: 15 Wed Nov 6 11:55:50 2019 removing 25948 relations and 16758 ideals in 9190 cliques Wed Nov 6 11:55:50 2019 commencing in-memory singleton removal Wed Nov 6 11:55:52 2019 begin with 19431426 relations and 10253607 unique ideals Wed Nov 6 11:55:56 2019 reduce to 19431223 relations and 10236645 ideals in 4 passes Wed Nov 6 11:55:56 2019 max relations containing the same ideal: 15 Wed Nov 6 11:55:58 2019 relations with 0 large ideals: 2834058 Wed Nov 6 11:55:58 2019 relations with 1 large ideals: 7839075 Wed Nov 6 11:55:58 2019 relations with 2 large ideals: 6630135 Wed Nov 6 11:55:58 2019 relations with 3 large ideals: 1788716 Wed Nov 6 11:55:58 2019 relations with 4 large ideals: 249744 Wed Nov 6 11:55:58 2019 relations with 5 large ideals: 81542 Wed Nov 6 11:55:58 2019 relations with 6 large ideals: 7944 Wed Nov 6 11:55:58 2019 relations with 7+ large ideals: 9 Wed Nov 6 11:55:58 2019 commencing 2-way merge Wed Nov 6 11:56:09 2019 reduce to 13273338 relation sets and 4078760 unique ideals Wed Nov 6 11:56:09 2019 commencing full merge Wed Nov 6 11:56:55 2019 memory use: 455.4 MB Wed Nov 6 11:56:56 2019 found 9194149 cycles, need 7926559 Wed Nov 6 11:56:59 2019 weight of 7926559 cycles is about 296452533 (37.40/cycle) Wed Nov 6 11:56:59 2019 distribution of cycle lengths: Wed Nov 6 11:56:59 2019 1 relations: 2834058 Wed Nov 6 11:56:59 2019 2 relations: 1411723 Wed Nov 6 11:56:59 2019 3 relations: 1215257 Wed Nov 6 11:56:59 2019 4 relations: 988226 Wed Nov 6 11:56:59 2019 5 relations: 752626 Wed Nov 6 11:56:59 2019 6 relations: 533704 Wed Nov 6 11:56:59 2019 7 relations: 184994 Wed Nov 6 11:56:59 2019 8 relations: 5908 Wed Nov 6 11:56:59 2019 9 relations: 62 Wed Nov 6 11:56:59 2019 10+ relations: 1 Wed Nov 6 11:56:59 2019 heaviest cycle: 10 relations Wed Nov 6 11:57:00 2019 matrix not dense enough, retrying Wed Nov 6 11:57:01 2019 reading large ideals from disk Wed Nov 6 11:58:37 2019 keeping 59026066 ideals with weight <= 25, target excess is 6827766 Wed Nov 6 12:00:13 2019 memory use: 2576.1 MB Wed Nov 6 12:00:13 2019 commencing in-memory singleton removal Wed Nov 6 12:00:29 2019 begin with 93724658 relations and 59026066 unique ideals Wed Nov 6 12:01:28 2019 reduce to 93723973 relations and 59025380 ideals in 4 passes Wed Nov 6 12:01:28 2019 max relations containing the same ideal: 25 Wed Nov 6 12:02:42 2019 removing 6883995 relations and 4883995 ideals in 2000000 cliques Wed Nov 6 12:02:47 2019 commencing in-memory singleton removal Wed Nov 6 12:03:01 2019 begin with 86839978 relations and 59025380 unique ideals Wed Nov 6 12:04:45 2019 reduce to 86351583 relations and 53639971 ideals in 7 passes Wed Nov 6 12:04:45 2019 max relations containing the same ideal: 25 Wed Nov 6 12:05:55 2019 removing 5727546 relations and 3727546 ideals in 2000000 cliques Wed Nov 6 12:05:59 2019 commencing in-memory singleton removal Wed Nov 6 12:06:12 2019 begin with 80624037 relations and 53639971 unique ideals Wed Nov 6 12:07:35 2019 reduce to 80294900 relations and 49575594 ideals in 6 passes Wed Nov 6 12:07:35 2019 max relations containing the same ideal: 25 Wed Nov 6 12:08:39 2019 removing 5409335 relations and 3409335 ideals in 2000000 cliques Wed Nov 6 12:08:43 2019 commencing in-memory singleton removal Wed Nov 6 12:08:56 2019 begin with 74885565 relations and 49575594 unique ideals Wed Nov 6 12:10:18 2019 reduce to 74602503 relations and 45876421 ideals in 7 passes Wed Nov 6 12:10:18 2019 max relations containing the same ideal: 25 Wed Nov 6 12:11:14 2019 removing 5248308 relations and 3248308 ideals in 2000000 cliques Wed Nov 6 12:11:17 2019 commencing in-memory singleton removal Wed Nov 6 12:11:27 2019 begin with 69354195 relations and 45876421 unique ideals Wed Nov 6 12:12:35 2019 reduce to 69097743 relations and 42365402 ideals in 6 passes Wed Nov 6 12:12:35 2019 max relations containing the same ideal: 25 Wed Nov 6 12:13:29 2019 removing 5124392 relations and 3124392 ideals in 2000000 cliques Wed Nov 6 12:13:33 2019 commencing in-memory singleton removal Wed Nov 6 12:13:43 2019 begin with 63973351 relations and 42365402 unique ideals Wed Nov 6 12:14:57 2019 reduce to 63717429 relations and 38978293 ideals in 8 passes Wed Nov 6 12:14:57 2019 max relations containing the same ideal: 25 Wed Nov 6 12:15:41 2019 removing 5054289 relations and 3054289 ideals in 2000000 cliques Wed Nov 6 12:15:44 2019 commencing in-memory singleton removal Wed Nov 6 12:15:52 2019 begin with 58663140 relations and 38978293 unique ideals Wed Nov 6 12:16:40 2019 reduce to 58411211 relations and 35665099 ideals in 6 passes Wed Nov 6 12:16:40 2019 max relations containing the same ideal: 25 Wed Nov 6 12:17:23 2019 removing 5000294 relations and 3000294 ideals in 2000000 cliques Wed Nov 6 12:17:26 2019 commencing in-memory singleton removal Wed Nov 6 12:17:33 2019 begin with 53410917 relations and 35665099 unique ideals Wed Nov 6 12:18:17 2019 reduce to 53149433 relations and 32395373 ideals in 6 passes Wed Nov 6 12:18:17 2019 max relations containing the same ideal: 24 Wed Nov 6 12:18:53 2019 removing 4962137 relations and 2962137 ideals in 2000000 cliques Wed Nov 6 12:18:56 2019 commencing in-memory singleton removal Wed Nov 6 12:19:02 2019 begin with 48187296 relations and 32395373 unique ideals Wed Nov 6 12:19:44 2019 reduce to 47918405 relations and 29155686 ideals in 7 passes Wed Nov 6 12:19:44 2019 max relations containing the same ideal: 24 Wed Nov 6 12:20:15 2019 removing 4928707 relations and 2928707 ideals in 2000000 cliques Wed Nov 6 12:20:18 2019 commencing in-memory singleton removal Wed Nov 6 12:20:23 2019 begin with 42989698 relations and 29155686 unique ideals Wed Nov 6 12:20:56 2019 reduce to 42690997 relations and 25917675 ideals in 6 passes Wed Nov 6 12:20:56 2019 max relations containing the same ideal: 23 Wed Nov 6 12:21:24 2019 removing 4933100 relations and 2933100 ideals in 2000000 cliques Wed Nov 6 12:21:27 2019 commencing in-memory singleton removal Wed Nov 6 12:21:31 2019 begin with 37757897 relations and 25917675 unique ideals Wed Nov 6 12:22:02 2019 reduce to 37454777 relations and 22669734 ideals in 7 passes Wed Nov 6 12:22:02 2019 max relations containing the same ideal: 22 Wed Nov 6 12:22:26 2019 removing 4895659 relations and 2895659 ideals in 2000000 cliques Wed Nov 6 12:22:28 2019 commencing in-memory singleton removal Wed Nov 6 12:22:32 2019 begin with 32559118 relations and 22669734 unique ideals Wed Nov 6 12:22:58 2019 reduce to 32174369 relations and 19371427 ideals in 7 passes Wed Nov 6 12:22:58 2019 max relations containing the same ideal: 21 Wed Nov 6 12:23:17 2019 removing 4937925 relations and 2937925 ideals in 2000000 cliques Wed Nov 6 12:23:20 2019 commencing in-memory singleton removal Wed Nov 6 12:23:23 2019 begin with 27236444 relations and 19371427 unique ideals Wed Nov 6 12:23:41 2019 reduce to 26841023 relations and 16017508 ideals in 7 passes Wed Nov 6 12:23:41 2019 max relations containing the same ideal: 19 Wed Nov 6 12:23:58 2019 removing 4942943 relations and 2942943 ideals in 2000000 cliques Wed Nov 6 12:24:00 2019 commencing in-memory singleton removal Wed Nov 6 12:24:02 2019 begin with 21898080 relations and 16017508 unique ideals Wed Nov 6 12:24:16 2019 reduce to 21415409 relations and 12561516 ideals in 7 passes Wed Nov 6 12:24:16 2019 max relations containing the same ideal: 17 Wed Nov 6 12:24:27 2019 removing 2361695 relations and 1428011 ideals in 933684 cliques Wed Nov 6 12:24:29 2019 commencing in-memory singleton removal Wed Nov 6 12:24:30 2019 begin with 19053714 relations and 12561516 unique ideals Wed Nov 6 12:24:39 2019 reduce to 18784472 relations and 10851118 ideals in 6 passes Wed Nov 6 12:24:39 2019 max relations containing the same ideal: 16 Wed Nov 6 12:24:50 2019 removing 41408 relations and 28263 ideals in 13145 cliques Wed Nov 6 12:24:51 2019 commencing in-memory singleton removal Wed Nov 6 12:24:52 2019 begin with 18743064 relations and 10851118 unique ideals Wed Nov 6 12:24:59 2019 reduce to 18742681 relations and 10822472 ideals in 5 passes Wed Nov 6 12:24:59 2019 max relations containing the same ideal: 16 Wed Nov 6 12:25:01 2019 relations with 0 large ideals: 1954176 Wed Nov 6 12:25:01 2019 relations with 1 large ideals: 6222722 Wed Nov 6 12:25:01 2019 relations with 2 large ideals: 6913272 Wed Nov 6 12:25:01 2019 relations with 3 large ideals: 2834753 Wed Nov 6 12:25:01 2019 relations with 4 large ideals: 589031 Wed Nov 6 12:25:01 2019 relations with 5 large ideals: 203057 Wed Nov 6 12:25:01 2019 relations with 6 large ideals: 25464 Wed Nov 6 12:25:01 2019 relations with 7+ large ideals: 206 Wed Nov 6 12:25:01 2019 commencing 2-way merge Wed Nov 6 12:25:15 2019 reduce to 12946441 relation sets and 5026232 unique ideals Wed Nov 6 12:25:15 2019 commencing full merge Wed Nov 6 12:26:35 2019 memory use: 519.6 MB Wed Nov 6 12:26:36 2019 found 7886993 cycles, need 6827966 Wed Nov 6 12:26:39 2019 weight of 6827966 cycles is about 382967797 (56.09/cycle) Wed Nov 6 12:26:39 2019 distribution of cycle lengths: Wed Nov 6 12:26:39 2019 1 relations: 1954176 Wed Nov 6 12:26:39 2019 2 relations: 884099 Wed Nov 6 12:26:39 2019 3 relations: 722901 Wed Nov 6 12:26:39 2019 4 relations: 644266 Wed Nov 6 12:26:39 2019 5 relations: 578466 Wed Nov 6 12:26:39 2019 6 relations: 501324 Wed Nov 6 12:26:39 2019 7 relations: 433140 Wed Nov 6 12:26:39 2019 8 relations: 360076 Wed Nov 6 12:26:39 2019 9 relations: 300236 Wed Nov 6 12:26:39 2019 10+ relations: 449282 Wed Nov 6 12:26:39 2019 heaviest cycle: 14 relations Wed Nov 6 12:26:40 2019 matrix not dense enough, retrying Wed Nov 6 12:26:41 2019 reading large ideals from disk Wed Nov 6 12:28:32 2019 keeping 60219053 ideals with weight <= 30, target excess is 5634779 Wed Nov 6 12:30:34 2019 memory use: 2576.1 MB Wed Nov 6 12:30:34 2019 commencing in-memory singleton removal Wed Nov 6 12:30:53 2019 begin with 93724658 relations and 60219053 unique ideals Wed Nov 6 12:32:08 2019 reduce to 93723973 relations and 60218367 ideals in 4 passes Wed Nov 6 12:32:08 2019 max relations containing the same ideal: 30 Wed Nov 6 12:33:32 2019 removing 6951381 relations and 4951381 ideals in 2000000 cliques Wed Nov 6 12:33:37 2019 commencing in-memory singleton removal Wed Nov 6 12:33:52 2019 begin with 86772592 relations and 60218367 unique ideals Wed Nov 6 12:35:47 2019 reduce to 86289189 relations and 54770751 ideals in 7 passes Wed Nov 6 12:35:47 2019 max relations containing the same ideal: 30 Wed Nov 6 12:37:03 2019 removing 5758530 relations and 3758530 ideals in 2000000 cliques Wed Nov 6 12:37:08 2019 commencing in-memory singleton removal Wed Nov 6 12:37:24 2019 begin with 80530659 relations and 54770751 unique ideals Wed Nov 6 12:39:05 2019 reduce to 80203767 relations and 50677577 ideals in 7 passes Wed Nov 6 12:39:05 2019 max relations containing the same ideal: 30 Wed Nov 6 12:40:12 2019 removing 5435757 relations and 3435757 ideals in 2000000 cliques Wed Nov 6 12:40:16 2019 commencing in-memory singleton removal Wed Nov 6 12:40:28 2019 begin with 74768010 relations and 50677577 unique ideals Wed Nov 6 12:42:04 2019 reduce to 74488309 relations and 46955368 ideals in 7 passes Wed Nov 6 12:42:04 2019 max relations containing the same ideal: 30 Wed Nov 6 12:43:06 2019 removing 5260766 relations and 3260766 ideals in 2000000 cliques Wed Nov 6 12:43:10 2019 commencing in-memory singleton removal Wed Nov 6 12:43:21 2019 begin with 69227543 relations and 46955368 unique ideals Wed Nov 6 12:44:33 2019 reduce to 68970090 relations and 43430707 ideals in 6 passes Wed Nov 6 12:44:33 2019 max relations containing the same ideal: 30 Wed Nov 6 12:45:32 2019 removing 5148492 relations and 3148492 ideals in 2000000 cliques Wed Nov 6 12:45:35 2019 commencing in-memory singleton removal Wed Nov 6 12:45:45 2019 begin with 63821598 relations and 43430707 unique ideals Wed Nov 6 12:46:56 2019 reduce to 63572811 relations and 40026868 ideals in 7 passes Wed Nov 6 12:46:56 2019 max relations containing the same ideal: 30 Wed Nov 6 12:47:46 2019 removing 5061667 relations and 3061667 ideals in 2000000 cliques Wed Nov 6 12:47:50 2019 commencing in-memory singleton removal Wed Nov 6 12:47:58 2019 begin with 58511144 relations and 40026868 unique ideals Wed Nov 6 12:48:54 2019 reduce to 58257861 relations and 36704930 ideals in 6 passes Wed Nov 6 12:48:54 2019 max relations containing the same ideal: 29 Wed Nov 6 12:49:41 2019 removing 5013198 relations and 3013198 ideals in 2000000 cliques Wed Nov 6 12:49:44 2019 commencing in-memory singleton removal Wed Nov 6 12:49:52 2019 begin with 53244663 relations and 36704930 unique ideals Wed Nov 6 12:50:47 2019 reduce to 52988414 relations and 33427727 ideals in 7 passes Wed Nov 6 12:50:47 2019 max relations containing the same ideal: 28 Wed Nov 6 12:51:28 2019 removing 4971171 relations and 2971171 ideals in 2000000 cliques Wed Nov 6 12:51:32 2019 commencing in-memory singleton removal Wed Nov 6 12:51:38 2019 begin with 48017243 relations and 33427727 unique ideals Wed Nov 6 12:52:18 2019 reduce to 47749903 relations and 30180688 ideals in 6 passes Wed Nov 6 12:52:18 2019 max relations containing the same ideal: 28 Wed Nov 6 12:52:55 2019 removing 4939841 relations and 2939841 ideals in 2000000 cliques Wed Nov 6 12:52:58 2019 commencing in-memory singleton removal Wed Nov 6 12:53:04 2019 begin with 42810062 relations and 30180688 unique ideals Wed Nov 6 12:53:40 2019 reduce to 42520319 relations and 26941019 ideals in 6 passes Wed Nov 6 12:53:40 2019 max relations containing the same ideal: 27 Wed Nov 6 12:54:11 2019 removing 4936604 relations and 2936604 ideals in 2000000 cliques Wed Nov 6 12:54:14 2019 commencing in-memory singleton removal Wed Nov 6 12:54:19 2019 begin with 37583715 relations and 26941019 unique ideals Wed Nov 6 12:54:50 2019 reduce to 37276803 relations and 23685472 ideals in 6 passes Wed Nov 6 12:54:50 2019 max relations containing the same ideal: 25 Wed Nov 6 12:55:16 2019 removing 4911749 relations and 2911749 ideals in 2000000 cliques Wed Nov 6 12:55:19 2019 commencing in-memory singleton removal Wed Nov 6 12:55:22 2019 begin with 32365054 relations and 23685472 unique ideals Wed Nov 6 12:55:50 2019 reduce to 32011693 relations and 20404476 ideals in 7 passes Wed Nov 6 12:55:50 2019 max relations containing the same ideal: 24 Wed Nov 6 12:56:12 2019 removing 4936564 relations and 2936564 ideals in 2000000 cliques Wed Nov 6 12:56:15 2019 commencing in-memory singleton removal Wed Nov 6 12:56:18 2019 begin with 27075129 relations and 20404476 unique ideals Wed Nov 6 12:56:38 2019 reduce to 26690392 relations and 17063767 ideals in 7 passes Wed Nov 6 12:56:38 2019 max relations containing the same ideal: 22 Wed Nov 6 12:56:56 2019 removing 4939261 relations and 2939261 ideals in 2000000 cliques Wed Nov 6 12:56:59 2019 commencing in-memory singleton removal Wed Nov 6 12:57:01 2019 begin with 21751131 relations and 17063767 unique ideals Wed Nov 6 12:57:16 2019 reduce to 21263158 relations and 13606223 ideals in 7 passes Wed Nov 6 12:57:16 2019 max relations containing the same ideal: 20 Wed Nov 6 12:57:30 2019 removing 2856182 relations and 1735591 ideals in 1120591 cliques Wed Nov 6 12:57:32 2019 commencing in-memory singleton removal Wed Nov 6 12:57:34 2019 begin with 18406976 relations and 13606223 unique ideals Wed Nov 6 12:57:46 2019 reduce to 18083119 relations and 11530011 ideals in 7 passes Wed Nov 6 12:57:46 2019 max relations containing the same ideal: 20 Wed Nov 6 12:57:57 2019 removing 60165 relations and 43401 ideals in 16764 cliques Wed Nov 6 12:57:59 2019 commencing in-memory singleton removal Wed Nov 6 12:58:00 2019 begin with 18022954 relations and 11530011 unique ideals Wed Nov 6 12:58:07 2019 reduce to 18022357 relations and 11486013 ideals in 4 passes Wed Nov 6 12:58:07 2019 max relations containing the same ideal: 20 Wed Nov 6 12:58:10 2019 relations with 0 large ideals: 1218186 Wed Nov 6 12:58:10 2019 relations with 1 large ideals: 4393784 Wed Nov 6 12:58:10 2019 relations with 2 large ideals: 6509953 Wed Nov 6 12:58:10 2019 relations with 3 large ideals: 4074819 Wed Nov 6 12:58:10 2019 relations with 4 large ideals: 1316158 Wed Nov 6 12:58:10 2019 relations with 5 large ideals: 428111 Wed Nov 6 12:58:10 2019 relations with 6 large ideals: 79101 Wed Nov 6 12:58:10 2019 relations with 7+ large ideals: 2245 Wed Nov 6 12:58:10 2019 commencing 2-way merge Wed Nov 6 12:58:24 2019 reduce to 12604017 relation sets and 6067673 unique ideals Wed Nov 6 12:58:24 2019 commencing full merge Wed Nov 6 13:01:06 2019 memory use: 582.3 MB Wed Nov 6 13:01:08 2019 found 6335301 cycles, need 5721873 Wed Nov 6 13:01:10 2019 weight of 5721873 cycles is about 556528650 (97.26/cycle) Wed Nov 6 13:01:10 2019 distribution of cycle lengths: Wed Nov 6 13:01:10 2019 1 relations: 1218467 Wed Nov 6 13:01:10 2019 2 relations: 467442 Wed Nov 6 13:01:10 2019 3 relations: 372355 Wed Nov 6 13:01:10 2019 4 relations: 339784 Wed Nov 6 13:01:10 2019 5 relations: 331109 Wed Nov 6 13:01:10 2019 6 relations: 320376 Wed Nov 6 13:01:10 2019 7 relations: 310003 Wed Nov 6 13:01:10 2019 8 relations: 295880 Wed Nov 6 13:01:10 2019 9 relations: 280372 Wed Nov 6 13:01:10 2019 10+ relations: 1786085 Wed Nov 6 13:01:10 2019 heaviest cycle: 24 relations Wed Nov 6 13:01:11 2019 commencing cycle optimization Wed Nov 6 13:01:31 2019 start with 39806460 relations Wed Nov 6 13:04:11 2019 pruned 4866949 relations Wed Nov 6 13:04:12 2019 memory use: 1001.7 MB Wed Nov 6 13:04:12 2019 distribution of cycle lengths: Wed Nov 6 13:04:12 2019 1 relations: 1218467 Wed Nov 6 13:04:12 2019 2 relations: 492303 Wed Nov 6 13:04:12 2019 3 relations: 408307 Wed Nov 6 13:04:12 2019 4 relations: 385384 Wed Nov 6 13:04:12 2019 5 relations: 390291 Wed Nov 6 13:04:12 2019 6 relations: 385906 Wed Nov 6 13:04:12 2019 7 relations: 380025 Wed Nov 6 13:04:12 2019 8 relations: 358618 Wed Nov 6 13:04:12 2019 9 relations: 334634 Wed Nov 6 13:04:12 2019 10+ relations: 1367938 Wed Nov 6 13:04:12 2019 heaviest cycle: 23 relations Wed Nov 6 13:04:19 2019 RelProcTime: 11220 Wed Nov 6 13:04:19 2019 elapsed time 03:07:05 Wed Nov 6 13:08:10 2019 Wed Nov 6 13:08:10 2019 Wed Nov 6 13:08:10 2019 Msieve v. 1.52 (SVN exported) Wed Nov 6 13:08:10 2019 random seeds: f9d8c402 77f36be8 Wed Nov 6 13:08:10 2019 factoring 3453468674703923247257578949716572927109152541969930672010383108878273072117209359971041631066047338531213480424063181929613979030756799113828316491136247201377491261729330921852223064662519677 (193 digits) Wed Nov 6 13:08:12 2019 searching for 15-digit factors Wed Nov 6 13:08:15 2019 commencing number field sieve (193-digit input) Wed Nov 6 13:08:15 2019 R0: 6626407623023341735842836810834443894680475442 Wed Nov 6 13:08:15 2019 R1: -318270182965192022252424017587489077700729 Wed Nov 6 13:08:15 2019 A0: -1 Wed Nov 6 13:08:15 2019 A1: 3 Wed Nov 6 13:08:15 2019 A2: 3 Wed Nov 6 13:08:15 2019 A3: -4 Wed Nov 6 13:08:15 2019 A4: -1 Wed Nov 6 13:08:15 2019 A5: 1 Wed Nov 6 13:08:15 2019 skew 1.00, size 1.354e-15, alpha 2.379, combined = 1.146e-12 rroots = 5 Wed Nov 6 13:08:15 2019 Wed Nov 6 13:08:15 2019 commencing linear algebra Wed Nov 6 13:08:17 2019 read 5721873 cycles Wed Nov 6 13:08:34 2019 cycles contain 15535139 unique relations Wed Nov 6 13:14:59 2019 read 15535139 relations Wed Nov 6 13:15:54 2019 using 20 quadratic characters above 1073738624 Wed Nov 6 13:17:41 2019 building initial matrix Wed Nov 6 13:23:13 2019 memory use: 1987.8 MB Wed Nov 6 13:23:18 2019 read 5721873 cycles Wed Nov 6 13:23:20 2019 matrix is 5720622 x 5721873 (2015.1 MB) with weight 575818218 (100.63/col) Wed Nov 6 13:23:20 2019 sparse part has weight 465314602 (81.32/col) Wed Nov 6 13:27:31 2019 filtering completed in 3 passes Wed Nov 6 13:27:34 2019 matrix is 5698402 x 5698602 (2010.4 MB) with weight 574428230 (100.80/col) Wed Nov 6 13:27:34 2019 sparse part has weight 464336229 (81.48/col) Wed Nov 6 13:28:07 2019 matrix starts at (0, 0) Wed Nov 6 13:28:09 2019 matrix is 5698402 x 5698602 (2010.4 MB) with weight 574428230 (100.80/col) Wed Nov 6 13:28:09 2019 sparse part has weight 464336229 (81.48/col) Wed Nov 6 13:28:09 2019 saving the first 48 matrix rows for later Wed Nov 6 13:28:10 2019 matrix includes 64 packed rows Wed Nov 6 13:28:12 2019 matrix is 5698354 x 5698602 (1919.6 MB) with weight 478368563 (83.94/col) Wed Nov 6 13:28:12 2019 sparse part has weight 446231591 (78.31/col) Wed Nov 6 13:28:12 2019 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB Wed Nov 6 13:28:45 2019 commencing Lanczos iteration (4 threads) Wed Nov 6 13:28:45 2019 memory use: 1593.3 MB Wed Nov 6 13:29:28 2019 linear algebra at 0.0%, ETA 43h59m Wed Nov 6 13:29:40 2019 checkpointing every 140000 dimensions Fri Nov 8 01:30:16 2019 lanczos halted after 90113 iterations (dim = 5698348) Fri Nov 8 01:30:25 2019 recovered 33 nontrivial dependencies Fri Nov 8 01:30:25 2019 BLanczosTime: 130930 Fri Nov 8 01:30:25 2019 Fri Nov 8 01:30:25 2019 commencing square root phase Fri Nov 8 01:30:25 2019 reading relations for dependency 1 Fri Nov 8 01:30:26 2019 read 2846799 cycles Fri Nov 8 01:30:34 2019 cycles contain 7755138 unique relations Fri Nov 8 01:35:02 2019 read 7755138 relations Fri Nov 8 01:36:12 2019 multiplying 7755138 relations Fri Nov 8 01:41:45 2019 multiply complete, coefficients have about 192.24 million bits Fri Nov 8 01:41:47 2019 initial square root is modulo 7925557 Fri Nov 8 01:48:36 2019 sqrtTime: 1091 Fri Nov 8 01:48:36 2019 prp53 factor: 12162794501913992585581638449547391118373840760988633 Fri Nov 8 01:48:36 2019 prp141 factor: 283937106243180358850642901005566360692698670844695789117204304543488673026540711598055892329223133890145033457124622449530830651182116288069 Fri Nov 8 01:48:36 2019 elapsed time 36:40:26