Sun Apr 13 19:42:01 2014 Sun Apr 13 19:42:01 2014 Sun Apr 13 19:42:01 2014 Msieve v. 1.53 (SVN 961) Sun Apr 13 19:42:01 2014 random seeds: 0663108a a19ab9e1 Sun Apr 13 19:42:01 2014 factoring 205550322289820972531656123496374878518561640377114873923101806162045125919686281857308964622232470458926069931361736221027818876751979341342516870869120139427984118080430873249018744775997781699001634914438875406421 (216 digits) Sun Apr 13 19:42:02 2014 no P-1/P+1/ECM available, skipping Sun Apr 13 19:42:02 2014 commencing number field sieve (216-digit input) Sun Apr 13 19:42:02 2014 R0: -277555756156289135105907917022705078125 Sun Apr 13 19:42:02 2014 R1: 1 Sun Apr 13 19:42:02 2014 A0: 1 Sun Apr 13 19:42:02 2014 A1: 0 Sun Apr 13 19:42:02 2014 A2: 0 Sun Apr 13 19:42:02 2014 A3: 0 Sun Apr 13 19:42:02 2014 A4: 0 Sun Apr 13 19:42:02 2014 A5: 0 Sun Apr 13 19:42:02 2014 A6: 8300 Sun Apr 13 19:42:02 2014 skew 1.00, size 8.488e-12, alpha 0.266, combined = 5.413e-13 rroots = 0 Sun Apr 13 19:42:02 2014 Sun Apr 13 19:42:02 2014 commencing relation filtering Sun Apr 13 19:42:02 2014 setting target matrix density to 112.0 Sun Apr 13 19:42:02 2014 estimated available RAM is 24050.4 MB Sun Apr 13 19:42:48 2014 Sun Apr 13 19:42:48 2014 Sun Apr 13 19:42:48 2014 Msieve v. 1.53 (SVN 961) Sun Apr 13 19:42:48 2014 random seeds: e6bfd2b6 daa9a157 Sun Apr 13 19:42:48 2014 factoring 205550322289820972531656123496374878518561640377114873923101806162045125919686281857308964622232470458926069931361736221027818876751979341342516870869120139427984118080430873249018744775997781699001634914438875406421 (216 digits) Sun Apr 13 19:42:50 2014 no P-1/P+1/ECM available, skipping Sun Apr 13 19:42:50 2014 commencing number field sieve (216-digit input) Sun Apr 13 19:42:50 2014 R0: -277555756156289135105907917022705078125 Sun Apr 13 19:42:50 2014 R1: 1 Sun Apr 13 19:42:50 2014 A0: 1 Sun Apr 13 19:42:50 2014 A1: 0 Sun Apr 13 19:42:50 2014 A2: 0 Sun Apr 13 19:42:50 2014 A3: 0 Sun Apr 13 19:42:50 2014 A4: 0 Sun Apr 13 19:42:50 2014 A5: 0 Sun Apr 13 19:42:50 2014 A6: 8300 Sun Apr 13 19:42:50 2014 skew 1.00, size 8.488e-12, alpha 0.266, combined = 5.413e-13 rroots = 0 Sun Apr 13 19:42:50 2014 Sun Apr 13 19:42:50 2014 commencing relation filtering Sun Apr 13 19:42:50 2014 setting target matrix density to 112.0 Sun Apr 13 19:42:50 2014 estimated available RAM is 24050.4 MB Sun Apr 13 19:42:50 2014 commencing duplicate removal, pass 1 Sun Apr 13 19:43:00 2014 error -9 reading relation 1059819 Sun Apr 13 19:43:00 2014 error -9 reading relation 1067576 Sun Apr 13 19:43:00 2014 error -15 reading relation 1068827 Sun Apr 13 19:43:00 2014 error -15 reading relation 1071400 Sun Apr 13 19:43:00 2014 error -15 reading relation 1072725 Sun Apr 13 19:43:03 2014 error -9 reading relation 1296788 Sun Apr 13 19:43:03 2014 error -9 reading relation 1326386 Sun Apr 13 19:43:03 2014 error -15 reading relation 1332871 Sun Apr 13 19:43:03 2014 error -9 reading relation 1334192 Sun Apr 13 19:43:03 2014 error -9 reading relation 1337072 Sun Apr 13 19:43:03 2014 error -15 reading relation 1338471 Sun Apr 13 19:43:03 2014 error -15 reading relation 1370065 Sun Apr 13 19:43:03 2014 error -15 reading relation 1371193 Sun Apr 13 19:43:04 2014 error -15 reading relation 1395354 Sun Apr 13 19:43:04 2014 error -15 reading relation 1430680 Sun Apr 13 19:43:04 2014 error -15 reading relation 1432042 Sun Apr 13 19:43:04 2014 error -1 reading relation 1434691 Sun Apr 13 19:43:04 2014 error -15 reading relation 1435976 Sun Apr 13 19:43:04 2014 error -9 reading relation 1466042 Sun Apr 13 19:43:04 2014 error -5 reading relation 1468571 Sun Apr 13 19:43:04 2014 error -15 reading relation 1469651 Sun Apr 13 19:43:04 2014 error -9 reading relation 1486688 Sun Apr 13 19:43:04 2014 error -15 reading relation 1489065 Sun Apr 13 19:43:05 2014 error -15 reading relation 1490072 Sun Apr 13 19:43:06 2014 error -9 reading relation 1595318 Sun Apr 13 19:43:06 2014 error -9 reading relation 1602852 Sun Apr 13 19:43:06 2014 error -5 reading relation 1603907 Sun Apr 13 19:43:06 2014 error -15 reading relation 1606718 Sun Apr 13 19:43:06 2014 error -15 reading relation 1608120 Sun Apr 13 19:43:06 2014 error -9 reading relation 1630427 Sun Apr 13 19:43:06 2014 error -15 reading relation 1632986 Sun Apr 13 19:43:06 2014 error -9 reading relation 1634026 Sun Apr 13 19:43:06 2014 error -15 reading relation 1680271 Sun Apr 13 19:43:06 2014 error -9 reading relation 1682710 Sun Apr 13 19:43:06 2014 error -15 reading relation 1683714 Sun Apr 13 19:43:07 2014 error -15 reading relation 1717927 Sun Apr 13 19:43:07 2014 error -9 reading relation 1719131 Sun Apr 13 19:43:07 2014 error -15 reading relation 1721542 Sun Apr 13 19:43:07 2014 error -5 reading relation 1722708 Sun Apr 13 19:43:08 2014 error -15 reading relation 1830331 Sun Apr 13 19:43:08 2014 error -15 reading relation 1833260 Sun Apr 13 19:43:08 2014 error -15 reading relation 1834665 Sun Apr 13 19:43:08 2014 error -9 reading relation 1835332 Sun Apr 13 19:43:08 2014 error -15 reading relation 1879183 Sun Apr 13 19:43:08 2014 error -15 reading relation 1880505 Sun Apr 13 19:43:08 2014 error -15 reading relation 1882049 Sun Apr 13 19:43:08 2014 error -9 reading relation 1883487 Sun Apr 13 19:43:08 2014 error -15 reading relation 1884244 Sun Apr 13 19:43:09 2014 error -9 reading relation 1977714 Sun Apr 13 19:43:09 2014 error -15 reading relation 1979167 Sun Apr 13 19:43:09 2014 error -9 reading relation 1979887 Sun Apr 13 19:43:10 2014 error -15 reading relation 1998011 Sun Apr 13 19:43:10 2014 error -9 reading relation 2001009 Sun Apr 13 19:43:10 2014 error -15 reading relation 2002483 Sun Apr 13 19:43:10 2014 error -9 reading relation 2003193 Sun Apr 13 19:43:10 2014 error -9 reading relation 2021372 Sun Apr 13 19:43:10 2014 error -9 reading relation 2024207 Sun Apr 13 19:43:10 2014 error -9 reading relation 2025648 Sun Apr 13 19:43:10 2014 error -9 reading relation 2026393 Sun Apr 13 19:43:11 2014 error -15 reading relation 2183155 Sun Apr 13 19:43:11 2014 error -15 reading relation 2184263 Sun Apr 13 19:43:12 2014 error -9 reading relation 2247885 Sun Apr 13 19:43:12 2014 error -15 reading relation 2272332 Sun Apr 13 19:43:12 2014 error -9 reading relation 2273298 Sun Apr 13 19:43:13 2014 error -15 reading relation 2373989 Sun Apr 13 19:43:13 2014 error -15 reading relation 2375354 Sun Apr 13 19:43:13 2014 error -15 reading relation 2376861 Sun Apr 13 19:43:13 2014 error -15 reading relation 2378297 Sun Apr 13 19:43:13 2014 error -5 reading relation 2378986 Sun Apr 13 19:43:14 2014 error -9 reading relation 2394813 Sun Apr 13 19:43:14 2014 error -9 reading relation 2395860 Sun Apr 13 19:43:14 2014 error -9 reading relation 2431332 Sun Apr 13 19:43:14 2014 error -9 reading relation 2434279 Sun Apr 13 19:43:14 2014 error -9 reading relation 2435659 Sun Apr 13 19:43:14 2014 error -9 reading relation 2436271 Sun Apr 13 19:43:14 2014 error -9 reading relation 2443303 Sun Apr 13 19:43:14 2014 error -9 reading relation 2444551 Sun Apr 13 19:43:14 2014 error -15 reading relation 2467299 Sun Apr 13 19:43:14 2014 error -15 reading relation 2468539 Sun Apr 13 19:43:15 2014 error -9 reading relation 2529071 Sun Apr 13 19:43:15 2014 error -9 reading relation 2530492 Sun Apr 13 19:43:15 2014 error -15 reading relation 2531221 Sun Apr 13 19:43:16 2014 error -15 reading relation 2658850 Sun Apr 13 19:43:16 2014 error -15 reading relation 2663135 Sun Apr 13 19:43:16 2014 error -15 reading relation 2663858 Sun Apr 13 19:45:35 2014 error -1 reading relation 17174778 Sun Apr 13 19:46:04 2014 error -9 reading relation 20145106 Sun Apr 13 19:46:04 2014 error -15 reading relation 20183381 Sun Apr 13 19:46:09 2014 error -15 reading relation 20679429 Sun Apr 13 19:46:10 2014 error -1 reading relation 20763293 Sun Apr 13 19:46:13 2014 error -9 reading relation 21149243 Sun Apr 13 19:46:15 2014 error -15 reading relation 21396417 Sun Apr 13 19:46:21 2014 error -15 reading relation 22004806 Sun Apr 13 19:46:22 2014 error -9 reading relation 22062603 Sun Apr 13 19:46:54 2014 error -15 reading relation 25502253 Sun Apr 13 19:48:37 2014 error -15 reading relation 36297048 Sun Apr 13 19:48:40 2014 error -9 reading relation 36542854 Sun Apr 13 19:48:40 2014 error -5 reading relation 36589405 Sun Apr 13 19:48:55 2014 error -15 reading relation 38156310 Sun Apr 13 19:49:13 2014 error -15 reading relation 39939009 Sun Apr 13 19:49:34 2014 error -15 reading relation 42166233 Sun Apr 13 19:49:34 2014 error -9 reading relation 42169147 Sun Apr 13 19:49:37 2014 error -9 reading relation 42433993 Sun Apr 13 19:50:05 2014 error -15 reading relation 45380228 Sun Apr 13 19:50:05 2014 error -15 reading relation 45424581 Sun Apr 13 19:50:12 2014 error -15 reading relation 46086807 Sun Apr 13 19:50:13 2014 error -15 reading relation 46165265 Sun Apr 13 19:50:13 2014 error -9 reading relation 46202024 Sun Apr 13 19:50:16 2014 error -15 reading relation 46550978 Sun Apr 13 19:50:18 2014 error -1 reading relation 46744577 Sun Apr 13 19:50:22 2014 error -9 reading relation 47094509 Sun Apr 13 19:50:25 2014 error -9 reading relation 47460769 Sun Apr 13 19:50:29 2014 error -9 reading relation 47853582 Sun Apr 13 19:50:29 2014 error -9 reading relation 47926152 Sun Apr 13 19:50:56 2014 error -5 reading relation 50719061 Sun Apr 13 19:51:31 2014 error -15 reading relation 54426711 Sun Apr 13 19:51:40 2014 error -1 reading relation 55279526 Sun Apr 13 19:51:40 2014 error -15 reading relation 55320999 Sun Apr 13 19:51:41 2014 error -15 reading relation 55422430 Sun Apr 13 19:51:55 2014 error -9 reading relation 56877164 Sun Apr 13 19:52:07 2014 error -5 reading relation 58104819 Sun Apr 13 19:52:08 2014 error -15 reading relation 58226587 Sun Apr 13 19:52:12 2014 error -15 reading relation 58639346 Sun Apr 13 19:52:32 2014 error -15 reading relation 60641838 Sun Apr 13 19:52:38 2014 error -15 reading relation 61270227 Sun Apr 13 19:52:47 2014 error -9 reading relation 62187975 Sun Apr 13 19:52:49 2014 error -15 reading relation 62387001 Sun Apr 13 19:53:02 2014 error -15 reading relation 63738989 Sun Apr 13 19:53:02 2014 error -9 reading relation 63741687 Sun Apr 13 19:53:02 2014 error -1 reading relation 63757004 Sun Apr 13 19:53:08 2014 error -15 reading relation 64348390 Sun Apr 13 19:53:30 2014 error -9 reading relation 66638363 Sun Apr 13 19:53:31 2014 error -9 reading relation 66718909 Sun Apr 13 19:53:33 2014 error -9 reading relation 66896250 Sun Apr 13 19:53:34 2014 error -15 reading relation 66977041 Sun Apr 13 19:53:34 2014 error -9 reading relation 67027602 Sun Apr 13 19:53:56 2014 error -15 reading relation 69301810 Sun Apr 13 19:54:57 2014 error -9 reading relation 75665330 Sun Apr 13 19:55:20 2014 error -9 reading relation 78074762 Sun Apr 13 19:55:21 2014 error -15 reading relation 78209962 Sun Apr 13 19:55:27 2014 error -15 reading relation 78845125 Sun Apr 13 19:55:43 2014 error -9 reading relation 80547447 Sun Apr 13 19:55:43 2014 error -9 reading relation 80548046 Sun Apr 13 19:55:43 2014 error -15 reading relation 80586129 Sun Apr 13 19:55:44 2014 error -9 reading relation 80619356 Sun Apr 13 19:55:44 2014 error -15 reading relation 80619966 Sun Apr 13 19:55:44 2014 error -15 reading relation 80660460 Sun Apr 13 19:55:44 2014 error -5 reading relation 80673320 Sun Apr 13 19:55:44 2014 error -9 reading relation 80673945 Sun Apr 13 19:56:22 2014 error -5 reading relation 84607134 Sun Apr 13 19:56:42 2014 error -5 reading relation 86666301 Sun Apr 13 19:56:42 2014 error -15 reading relation 86705810 Sun Apr 13 19:56:42 2014 error -9 reading relation 86710272 Sun Apr 13 19:56:53 2014 error -9 reading relation 87850489 Sun Apr 13 19:56:57 2014 error -9 reading relation 88283087 Sun Apr 13 19:56:57 2014 error -9 reading relation 88287844 Sun Apr 13 19:56:58 2014 error -15 reading relation 88361605 Sun Apr 13 19:57:10 2014 error -9 reading relation 89598422 Sun Apr 13 19:57:13 2014 error -9 reading relation 89906250 Sun Apr 13 19:57:13 2014 error -9 reading relation 89907453 Sun Apr 13 19:57:17 2014 error -9 reading relation 90381219 Sun Apr 13 19:57:31 2014 error -1 reading relation 91770181 Sun Apr 13 19:57:48 2014 error -9 reading relation 93472756 Sun Apr 13 19:57:49 2014 error -9 reading relation 93603593 Sun Apr 13 19:57:51 2014 error -1 reading relation 93773734 Sun Apr 13 19:57:51 2014 error -9 reading relation 93822136 Sun Apr 13 19:57:52 2014 error -11 reading relation 93876023 Sun Apr 13 19:58:04 2014 error -15 reading relation 95142750 Sun Apr 13 19:58:30 2014 error -9 reading relation 97772314 Sun Apr 13 19:58:31 2014 error -9 reading relation 97912844 Sun Apr 13 19:58:31 2014 error -15 reading relation 97931420 Sun Apr 13 19:58:38 2014 error -9 reading relation 98660588 Sun Apr 13 19:58:39 2014 error -9 reading relation 98755477 Sun Apr 13 19:58:44 2014 error -5 reading relation 99220294 Sun Apr 13 19:58:44 2014 error -9 reading relation 99238089 Sun Apr 13 19:58:46 2014 error -15 reading relation 99413018 Sun Apr 13 19:58:46 2014 error -5 reading relation 99427017 Sun Apr 13 19:58:46 2014 error -9 reading relation 99464121 Sun Apr 13 19:58:51 2014 error -9 reading relation 99943640 Sun Apr 13 19:58:53 2014 error -15 reading relation 100140786 Sun Apr 13 19:59:05 2014 error -15 reading relation 101438548 Sun Apr 13 19:59:08 2014 error -9 reading relation 101748566 Sun Apr 13 19:59:10 2014 error -5 reading relation 101947611 Sun Apr 13 19:59:28 2014 error -15 reading relation 103853887 Sun Apr 13 19:59:30 2014 error -9 reading relation 103997416 Sun Apr 13 19:59:40 2014 error -9 reading relation 105038063 Sun Apr 13 19:59:43 2014 error -9 reading relation 105356614 Sun Apr 13 19:59:43 2014 error -15 reading relation 105387728 Sun Apr 13 19:59:47 2014 error -9 reading relation 105786185 Sun Apr 13 19:59:48 2014 error -9 reading relation 105854806 Sun Apr 13 19:59:49 2014 error -11 reading relation 105948218 Sun Apr 13 19:59:49 2014 error -15 reading relation 105962378 Sun Apr 13 19:59:51 2014 error -15 reading relation 106205432 Sun Apr 13 19:59:53 2014 error -9 reading relation 106407077 Sun Apr 13 19:59:58 2014 error -15 reading relation 106924728 Sun Apr 13 19:59:59 2014 error -9 reading relation 106967361 Sun Apr 13 19:59:59 2014 error -9 reading relation 106988366 Sun Apr 13 20:00:10 2014 error -9 reading relation 108171249 Sun Apr 13 20:00:13 2014 error -1 reading relation 108512060 Sun Apr 13 20:00:14 2014 error -9 reading relation 108565076 Sun Apr 13 20:00:15 2014 error -15 reading relation 108651410 Sun Apr 13 20:00:16 2014 error -9 reading relation 108751062 Sun Apr 13 20:00:17 2014 error -15 reading relation 108865429 Sun Apr 13 20:00:18 2014 error -15 reading relation 108942988 Sun Apr 13 20:00:26 2014 error -9 reading relation 109820154 Sun Apr 13 20:00:31 2014 error -1 reading relation 110386800 Sun Apr 13 20:00:34 2014 error -15 reading relation 110696870 Sun Apr 13 20:00:35 2014 error -15 reading relation 110707646 Sun Apr 13 20:00:35 2014 error -9 reading relation 110708184 Sun Apr 13 20:00:40 2014 error -5 reading relation 111214197 Sun Apr 13 20:00:49 2014 error -1 reading relation 112219785 Sun Apr 13 20:00:57 2014 error -15 reading relation 113015625 Sun Apr 13 20:00:57 2014 error -9 reading relation 113018283 Sun Apr 13 20:01:21 2014 error -9 reading relation 115560490 Sun Apr 13 20:01:23 2014 error -9 reading relation 115802862 Sun Apr 13 20:01:31 2014 error -15 reading relation 116669846 Sun Apr 13 20:01:37 2014 error -9 reading relation 117248351 Sun Apr 13 20:01:42 2014 error -15 reading relation 117745779 Sun Apr 13 20:01:52 2014 error -9 reading relation 118804755 Sun Apr 13 20:01:52 2014 error -9 reading relation 118808512 Sun Apr 13 20:01:54 2014 error -15 reading relation 119012588 Sun Apr 13 20:01:54 2014 error -15 reading relation 119076485 Sun Apr 13 20:01:55 2014 skipped 201 relations with b > 2^32 Sun Apr 13 20:01:55 2014 found 24398576 hash collisions in 119124848 relations Sun Apr 13 20:02:19 2014 added 1218707 free relations Sun Apr 13 20:02:19 2014 commencing duplicate removal, pass 2 Sun Apr 13 20:05:20 2014 found 24583734 duplicates and 95759821 unique relations Sun Apr 13 20:05:20 2014 memory use: 660.8 MB Sun Apr 13 20:05:20 2014 reading ideals above 720000 Sun Apr 13 20:05:20 2014 commencing singleton removal, initial pass Sun Apr 13 20:25:42 2014 memory use: 2756.0 MB Sun Apr 13 20:25:42 2014 reading all ideals from disk Sun Apr 13 20:25:45 2014 memory use: 3680.2 MB Sun Apr 13 20:25:57 2014 keeping 90769805 ideals with weight <= 200, target excess is 493029 Sun Apr 13 20:26:12 2014 commencing in-memory singleton removal Sun Apr 13 20:26:19 2014 begin with 95759821 relations and 90769805 unique ideals Sun Apr 13 20:27:54 2014 reduce to 60541347 relations and 51829576 ideals in 16 passes Sun Apr 13 20:27:54 2014 max relations containing the same ideal: 155 Sun Apr 13 20:28:20 2014 removing 5686539 relations and 4686539 ideals in 1000000 cliques Sun Apr 13 20:28:23 2014 commencing in-memory singleton removal Sun Apr 13 20:28:26 2014 begin with 54854808 relations and 51829576 unique ideals Sun Apr 13 20:29:11 2014 reduce to 54438807 relations and 46718414 ideals in 9 passes Sun Apr 13 20:29:11 2014 max relations containing the same ideal: 146 Sun Apr 13 20:29:33 2014 removing 4384986 relations and 3384986 ideals in 1000000 cliques Sun Apr 13 20:29:36 2014 commencing in-memory singleton removal Sun Apr 13 20:29:39 2014 begin with 50053821 relations and 46718414 unique ideals Sun Apr 13 20:30:11 2014 reduce to 49780660 relations and 43055124 ideals in 7 passes Sun Apr 13 20:30:11 2014 max relations containing the same ideal: 139 Sun Apr 13 20:30:32 2014 removing 3982513 relations and 2982513 ideals in 1000000 cliques Sun Apr 13 20:30:34 2014 commencing in-memory singleton removal Sun Apr 13 20:30:37 2014 begin with 45798147 relations and 43055124 unique ideals Sun Apr 13 20:31:05 2014 reduce to 45557671 relations and 39827622 ideals in 7 passes Sun Apr 13 20:31:05 2014 max relations containing the same ideal: 132 Sun Apr 13 20:31:25 2014 removing 3769370 relations and 2769370 ideals in 1000000 cliques Sun Apr 13 20:31:27 2014 commencing in-memory singleton removal Sun Apr 13 20:31:29 2014 begin with 41788301 relations and 39827622 unique ideals Sun Apr 13 20:31:59 2014 reduce to 41558353 relations and 36823742 ideals in 8 passes Sun Apr 13 20:31:59 2014 max relations containing the same ideal: 125 Sun Apr 13 20:32:17 2014 removing 3629840 relations and 2629840 ideals in 1000000 cliques Sun Apr 13 20:32:19 2014 commencing in-memory singleton removal Sun Apr 13 20:32:21 2014 begin with 37928513 relations and 36823742 unique ideals Sun Apr 13 20:32:44 2014 reduce to 37701445 relations and 33962149 ideals in 7 passes Sun Apr 13 20:32:44 2014 max relations containing the same ideal: 116 Sun Apr 13 20:33:00 2014 removing 3538313 relations and 2538313 ideals in 1000000 cliques Sun Apr 13 20:33:02 2014 commencing in-memory singleton removal Sun Apr 13 20:33:05 2014 begin with 34163132 relations and 33962149 unique ideals Sun Apr 13 20:33:28 2014 reduce to 33930061 relations and 31185490 ideals in 8 passes Sun Apr 13 20:33:28 2014 max relations containing the same ideal: 107 Sun Apr 13 20:33:43 2014 removing 3470906 relations and 2470906 ideals in 1000000 cliques Sun Apr 13 20:33:45 2014 commencing in-memory singleton removal Sun Apr 13 20:33:47 2014 begin with 30459155 relations and 31185490 unique ideals Sun Apr 13 20:34:05 2014 reduce to 30213344 relations and 28462497 ideals in 7 passes Sun Apr 13 20:34:05 2014 max relations containing the same ideal: 99 Sun Apr 13 20:34:18 2014 removing 3429098 relations and 2429098 ideals in 1000000 cliques Sun Apr 13 20:34:19 2014 commencing in-memory singleton removal Sun Apr 13 20:34:21 2014 begin with 26784246 relations and 28462497 unique ideals Sun Apr 13 20:34:37 2014 reduce to 26513505 relations and 25754949 ideals in 7 passes Sun Apr 13 20:34:37 2014 max relations containing the same ideal: 89 Sun Apr 13 20:34:49 2014 removing 870171 relations and 683529 ideals in 186642 cliques Sun Apr 13 20:34:49 2014 commencing in-memory singleton removal Sun Apr 13 20:34:51 2014 begin with 25643334 relations and 25754949 unique ideals Sun Apr 13 20:35:02 2014 reduce to 25624784 relations and 25052745 ideals in 5 passes Sun Apr 13 20:35:02 2014 max relations containing the same ideal: 88 Sun Apr 13 20:35:19 2014 relations with 0 large ideals: 18284 Sun Apr 13 20:35:19 2014 relations with 1 large ideals: 7274 Sun Apr 13 20:35:19 2014 relations with 2 large ideals: 84447 Sun Apr 13 20:35:19 2014 relations with 3 large ideals: 575165 Sun Apr 13 20:35:19 2014 relations with 4 large ideals: 2150225 Sun Apr 13 20:35:19 2014 relations with 5 large ideals: 4823056 Sun Apr 13 20:35:19 2014 relations with 6 large ideals: 6765652 Sun Apr 13 20:35:19 2014 relations with 7+ large ideals: 11200681 Sun Apr 13 20:35:19 2014 commencing 2-way merge Sun Apr 13 20:35:34 2014 reduce to 17431972 relation sets and 16859933 unique ideals Sun Apr 13 20:35:34 2014 commencing full merge Sun Apr 13 20:42:35 2014 memory use: 2230.2 MB Sun Apr 13 20:42:37 2014 found 8001406 cycles, need 7952133 Sun Apr 13 20:42:40 2014 weight of 7952133 cycles is about 890836974 (112.02/cycle) Sun Apr 13 20:42:40 2014 distribution of cycle lengths: Sun Apr 13 20:42:40 2014 1 relations: 319697 Sun Apr 13 20:42:40 2014 2 relations: 507872 Sun Apr 13 20:42:40 2014 3 relations: 610938 Sun Apr 13 20:42:40 2014 4 relations: 629322 Sun Apr 13 20:42:40 2014 5 relations: 640146 Sun Apr 13 20:42:40 2014 6 relations: 623735 Sun Apr 13 20:42:40 2014 7 relations: 599654 Sun Apr 13 20:42:40 2014 8 relations: 564771 Sun Apr 13 20:42:40 2014 9 relations: 524706 Sun Apr 13 20:42:40 2014 10+ relations: 2931292 Sun Apr 13 20:42:40 2014 heaviest cycle: 28 relations Sun Apr 13 20:42:42 2014 commencing cycle optimization Sun Apr 13 20:42:59 2014 start with 66992960 relations Sun Apr 13 20:45:44 2014 pruned 3065007 relations Sun Apr 13 20:45:44 2014 memory use: 1761.9 MB Sun Apr 13 20:45:44 2014 distribution of cycle lengths: Sun Apr 13 20:45:44 2014 1 relations: 319697 Sun Apr 13 20:45:44 2014 2 relations: 521241 Sun Apr 13 20:45:44 2014 3 relations: 638919 Sun Apr 13 20:45:44 2014 4 relations: 657545 Sun Apr 13 20:45:44 2014 5 relations: 673517 Sun Apr 13 20:45:44 2014 6 relations: 654121 Sun Apr 13 20:45:44 2014 7 relations: 630412 Sun Apr 13 20:45:44 2014 8 relations: 589322 Sun Apr 13 20:45:44 2014 9 relations: 546621 Sun Apr 13 20:45:44 2014 10+ relations: 2720738 Sun Apr 13 20:45:44 2014 heaviest cycle: 28 relations Sun Apr 13 20:46:01 2014 RelProcTime: 3791 Sun Apr 13 20:46:01 2014 Sun Apr 13 20:46:01 2014 commencing linear algebra Sun Apr 13 20:46:02 2014 read 7952133 cycles Sun Apr 13 20:46:20 2014 cycles contain 25355983 unique relations Sun Apr 13 20:52:12 2014 read 25355983 relations Sun Apr 13 20:52:57 2014 using 20 quadratic characters above 1073741504 Sun Apr 13 20:55:12 2014 building initial matrix Sun Apr 13 21:02:14 2014 memory use: 3318.0 MB Sun Apr 13 21:02:20 2014 read 7952133 cycles Sun Apr 13 21:02:21 2014 matrix is 7951956 x 7952133 (3508.8 MB) with weight 1017838799 (128.00/col) Sun Apr 13 21:02:21 2014 sparse part has weight 832349126 (104.67/col) Sun Apr 13 21:04:21 2014 filtering completed in 2 passes Sun Apr 13 21:04:23 2014 matrix is 7951787 x 7951964 (3508.8 MB) with weight 1017832680 (128.00/col) Sun Apr 13 21:04:23 2014 sparse part has weight 832346917 (104.67/col) Sun Apr 13 21:04:47 2014 matrix starts at (0, 0) Sun Apr 13 21:04:48 2014 matrix is 7951787 x 7951964 (3508.8 MB) with weight 1017832680 (128.00/col) Sun Apr 13 21:04:48 2014 sparse part has weight 832346917 (104.67/col) Sun Apr 13 21:04:48 2014 saving the first 48 matrix rows for later Sun Apr 13 21:04:50 2014 matrix includes 64 packed rows Sun Apr 13 21:04:52 2014 matrix is 7951739 x 7951964 (3361.1 MB) with weight 865591064 (108.85/col) Sun Apr 13 21:04:52 2014 sparse part has weight 801560235 (100.80/col) Sun Apr 13 21:04:52 2014 using block size 8192 and superblock size 786432 for processor cache size 8192 kB Sun Apr 13 21:05:43 2014 commencing Lanczos iteration (8 threads) Sun Apr 13 21:05:43 2014 memory use: 2837.7 MB Sun Apr 13 21:06:15 2014 linear algebra at 0.0%, ETA 43h31m Sun Apr 13 21:06:26 2014 checkpointing every 180000 dimensions Tue Apr 15 15:11:50 2014 lanczos halted after 125752 iterations (dim = 7951739) Tue Apr 15 15:12:07 2014 recovered 41 nontrivial dependencies Tue Apr 15 15:12:08 2014 BLanczosTime: 152767 Tue Apr 15 15:12:08 2014 Tue Apr 15 15:12:08 2014 commencing square root phase Tue Apr 15 15:12:08 2014 handling dependencies 1 to 64 Tue Apr 15 15:12:08 2014 reading relations for dependency 1 Tue Apr 15 15:12:09 2014 read 3977494 cycles Tue Apr 15 15:12:18 2014 cycles contain 12682802 unique relations Tue Apr 15 15:16:27 2014 read 12682802 relations Tue Apr 15 15:17:43 2014 multiplying 12682802 relations Tue Apr 15 15:48:16 2014 multiply complete, coefficients have about 465.60 million bits Tue Apr 15 15:48:18 2014 initial square root is modulo 226107103 Tue Apr 15 16:23:08 2014 GCD is 1, no factor found Tue Apr 15 16:23:08 2014 reading relations for dependency 2 Tue Apr 15 16:23:09 2014 read 3974550 cycles Tue Apr 15 16:23:17 2014 cycles contain 12676450 unique relations Tue Apr 15 16:27:25 2014 read 12676450 relations Tue Apr 15 16:28:40 2014 multiplying 12676450 relations Tue Apr 15 16:59:22 2014 multiply complete, coefficients have about 465.36 million bits Tue Apr 15 16:59:24 2014 initial square root is modulo 223916509 Tue Apr 15 17:34:20 2014 GCD is 1, no factor found Tue Apr 15 17:34:20 2014 reading relations for dependency 3 Tue Apr 15 17:34:22 2014 read 3978446 cycles Tue Apr 15 17:34:29 2014 cycles contain 12681608 unique relations Tue Apr 15 17:38:43 2014 read 12681608 relations Tue Apr 15 17:39:53 2014 multiplying 12681608 relations Tue Apr 15 18:10:35 2014 multiply complete, coefficients have about 465.55 million bits Tue Apr 15 18:10:37 2014 initial square root is modulo 225625363 Tue Apr 15 18:45:24 2014 GCD is N, no factor found Tue Apr 15 18:45:24 2014 reading relations for dependency 4 Tue Apr 15 18:45:25 2014 read 3976973 cycles Tue Apr 15 18:45:32 2014 cycles contain 12677438 unique relations Tue Apr 15 18:49:43 2014 read 12677438 relations Tue Apr 15 18:50:53 2014 multiplying 12677438 relations Tue Apr 15 19:21:12 2014 multiply complete, coefficients have about 465.39 million bits Tue Apr 15 19:21:14 2014 initial square root is modulo 224200663 Tue Apr 15 19:57:28 2014 GCD is 1, no factor found Tue Apr 15 19:57:28 2014 reading relations for dependency 5 Tue Apr 15 19:57:29 2014 read 3976869 cycles Tue Apr 15 19:57:37 2014 cycles contain 12676310 unique relations Tue Apr 15 20:01:56 2014 read 12676310 relations Tue Apr 15 20:03:12 2014 multiplying 12676310 relations Tue Apr 15 20:35:57 2014 multiply complete, coefficients have about 465.35 million bits Tue Apr 15 20:35:59 2014 initial square root is modulo 223809349 Tue Apr 15 21:13:38 2014 sqrtTime: 21690 Tue Apr 15 21:13:38 2014 prp80 factor: 44727732200358575718155193552075666016858720751958113346552522635860992435228937 Tue Apr 15 21:13:38 2014 prp136 factor: 4595590077517346285651018529540590684003758485502923471896208062111317688711635008793441657490492808861528525224495090132736838830359533 Tue Apr 15 21:13:38 2014 elapsed time 49:30:50