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Below is the log file for the factorization of 6,392+.
[CODE]Sat Aug 2 00:02:17 2008 Msieve v. 1.36 Sat Aug 2 00:02:17 2008 random seeds: 55ac08b6 e45d063e Sat Aug 2 00:02:17 2008 factoring 2876206933693651846186421176693069994930455940294865635718788125313286898958051647224194942170380608658912307648377137488409492964786316276475722912667855400278464040857689779918914132775386804282257142820418090896474875573294012992427172761690204461080185405441 (262 digits) Sat Aug 2 00:02:21 2008 no P-1/P+1/ECM available, skipping Sat Aug 2 00:02:21 2008 commencing number field sieve (262-digit input) Sat Aug 2 00:02:21 2008 R0: -37711171281396032013366321198900157303750656 Sat Aug 2 00:02:21 2008 R1: 1 Sat Aug 2 00:02:21 2008 A0: 1 Sat Aug 2 00:02:21 2008 A1: -1 Sat Aug 2 00:02:21 2008 A2: 1 Sat Aug 2 00:02:21 2008 A3: -1 Sat Aug 2 00:02:21 2008 A4: 1 Sat Aug 2 00:02:21 2008 A5: -1 Sat Aug 2 00:02:21 2008 A6: 1 Sat Aug 2 00:02:21 2008 size score = 1.623453e-12, Murphy alpha = 2.427706, combined = 8.113343e-13 Sat Aug 2 00:04:59 2008 restarting with 237040099 relations Sat Aug 2 00:05:04 2008 added 91960 free relations Sat Aug 2 00:05:04 2008 Sat Aug 2 00:05:04 2008 commencing relation filtering Sat Aug 2 00:05:04 2008 commencing duplicate removal, pass 1 ... relation errors snipped ... Sat Aug 2 00:53:19 2008 found 62927459 hash collisions in 237130550 relations Sat Aug 2 00:53:19 2008 commencing duplicate removal, pass 2 Sat Aug 2 02:36:34 2008 found 0 duplicates and 237130550 unique relations Sat Aug 2 02:36:34 2008 memory use: 1911.0 MB Sat Aug 2 02:37:58 2008 ignoring smallest 7719044 rational and 7717783 algebraic ideals Sat Aug 2 02:37:58 2008 filtering rational ideals above 136380416 Sat Aug 2 02:37:58 2008 filtering algebraic ideals above 136380416 Sat Aug 2 02:37:58 2008 need 23155240 more relations than ideals Sat Aug 2 02:37:58 2008 commencing singleton removal, pass 1 Sat Aug 2 03:28:38 2008 relations with 0 large ideals: 2997250 Sat Aug 2 03:28:38 2008 relations with 1 large ideals: 19215695 Sat Aug 2 03:28:38 2008 relations with 2 large ideals: 53905957 Sat Aug 2 03:28:38 2008 relations with 3 large ideals: 79444659 Sat Aug 2 03:28:38 2008 relations with 4 large ideals: 61453240 Sat Aug 2 03:28:38 2008 relations with 5 large ideals: 20113749 Sat Aug 2 03:28:38 2008 relations with 6 large ideals: 0 Sat Aug 2 03:28:38 2008 relations with 7+ large ideals: 0 Sat Aug 2 03:28:38 2008 237130550 relations and about 97345636 large ideals Sat Aug 2 03:28:38 2008 commencing singleton removal, pass 2 Sat Aug 2 04:19:01 2008 found 11590051 singletons Sat Aug 2 04:19:01 2008 current dataset: 225540499 relations and about 85534864 large ideals Sat Aug 2 04:19:01 2008 commencing singleton removal, pass 3 Sat Aug 2 05:07:45 2008 relations with 0 large ideals: 2997250 Sat Aug 2 05:07:45 2008 relations with 1 large ideals: 18896634 Sat Aug 2 05:07:45 2008 relations with 2 large ideals: 52122439 Sat Aug 2 05:07:45 2008 relations with 3 large ideals: 75536280 Sat Aug 2 05:07:45 2008 relations with 4 large ideals: 57470694 Sat Aug 2 05:07:45 2008 relations with 5 large ideals: 18517202 Sat Aug 2 05:07:45 2008 relations with 6 large ideals: 0 Sat Aug 2 05:07:45 2008 relations with 7+ large ideals: 0 Sat Aug 2 05:07:45 2008 225540499 relations and about 120273090 large ideals Sat Aug 2 05:07:45 2008 commencing singleton removal, pass 4 Sat Aug 2 05:56:19 2008 found 17866384 singletons Sat Aug 2 05:56:19 2008 current dataset: 207674115 relations and about 101842800 large ideals Sat Aug 2 05:56:19 2008 commencing singleton removal, pass 5 Sat Aug 2 06:42:10 2008 relations with 0 large ideals: 2997250 Sat Aug 2 06:42:10 2008 relations with 1 large ideals: 18388550 Sat Aug 2 06:42:10 2008 relations with 2 large ideals: 49311326 Sat Aug 2 06:42:10 2008 relations with 3 large ideals: 69471025 Sat Aug 2 06:42:10 2008 relations with 4 large ideals: 51392245 Sat Aug 2 06:42:10 2008 relations with 5 large ideals: 16113719 Sat Aug 2 06:42:10 2008 relations with 6 large ideals: 0 Sat Aug 2 06:42:10 2008 relations with 7+ large ideals: 0 Sat Aug 2 06:42:10 2008 207674115 relations and about 123279800 large ideals Sat Aug 2 06:42:10 2008 commencing singleton removal, pass 6 Sat Aug 2 07:27:57 2008 found 13807784 singletons Sat Aug 2 07:27:57 2008 current dataset: 193866331 relations and about 109108286 large ideals Sat Aug 2 07:27:57 2008 commencing singleton removal, pass 7 Sat Aug 2 08:10:55 2008 found 1911841 singletons Sat Aug 2 08:10:55 2008 current dataset: 191954490 relations and about 107188276 large ideals Sat Aug 2 08:10:55 2008 commencing singleton removal, pass 8 Sat Aug 2 08:53:21 2008 found 216562 singletons Sat Aug 2 08:53:21 2008 current dataset: 191737928 relations and about 106971581 large ideals Sat Aug 2 08:53:21 2008 commencing singleton removal, final pass Sat Aug 2 10:12:32 2008 memory use: 3592.9 MB Sat Aug 2 10:12:33 2008 commencing in-memory singleton removal Sat Aug 2 10:14:00 2008 begin with 191737928 relations and 122926590 unique ideals Sat Aug 2 10:31:37 2008 reduce to 185289660 relations and 116421502 ideals in 10 passes Sat Aug 2 10:31:37 2008 max relations containing the same ideal: 44 Sat Aug 2 10:38:48 2008 removing 2637874 relations and 2237874 ideals in 400000 cliques Sat Aug 2 10:38:59 2008 commencing in-memory singleton removal Sat Aug 2 10:40:24 2008 begin with 182651786 relations and 116421502 unique ideals Sat Aug 2 10:48:58 2008 reduce to 182635787 relations and 114167587 ideals in 5 passes Sat Aug 2 10:48:58 2008 max relations containing the same ideal: 43 Sat Aug 2 10:55:37 2008 removing 2057546 relations and 1657546 ideals in 400000 cliques Sat Aug 2 10:55:46 2008 commencing in-memory singleton removal Sat Aug 2 10:57:05 2008 begin with 180578241 relations and 114167587 unique ideals Sat Aug 2 11:05:27 2008 reduce to 180567536 relations and 112499315 ideals in 5 passes Sat Aug 2 11:05:27 2008 max relations containing the same ideal: 43 Sat Aug 2 11:11:49 2008 removing 1863784 relations and 1463784 ideals in 400000 cliques Sat Aug 2 11:11:58 2008 commencing in-memory singleton removal Sat Aug 2 11:13:13 2008 begin with 178703752 relations and 112499315 unique ideals Sat Aug 2 11:21:32 2008 reduce to 178694485 relations and 111026243 ideals in 5 passes Sat Aug 2 11:21:32 2008 max relations containing the same ideal: 43 Sat Aug 2 11:28:00 2008 removing 1734867 relations and 1334867 ideals in 400000 cliques Sat Aug 2 11:28:10 2008 commencing in-memory singleton removal Sat Aug 2 11:29:26 2008 begin with 176959618 relations and 111026243 unique ideals Sat Aug 2 11:38:03 2008 reduce to 176950959 relations and 109682701 ideals in 5 passes Sat Aug 2 11:38:03 2008 max relations containing the same ideal: 43 Sat Aug 2 11:44:29 2008 removing 1655375 relations and 1255375 ideals in 400000 cliques Sat Aug 2 11:44:38 2008 commencing in-memory singleton removal Sat Aug 2 11:45:54 2008 begin with 175295584 relations and 109682701 unique ideals Sat Aug 2 11:52:17 2008 reduce to 175287689 relations and 108419408 ideals in 4 passes Sat Aug 2 11:52:17 2008 max relations containing the same ideal: 43 Sat Aug 2 11:58:44 2008 removing 1591221 relations and 1191221 ideals in 400000 cliques Sat Aug 2 11:58:53 2008 commencing in-memory singleton removal Sat Aug 2 12:00:13 2008 begin with 173696468 relations and 108419408 unique ideals Sat Aug 2 12:08:08 2008 reduce to 173688649 relations and 107220352 ideals in 5 passes Sat Aug 2 12:08:08 2008 max relations containing the same ideal: 43 Sat Aug 2 12:14:23 2008 removing 1552662 relations and 1152662 ideals in 400000 cliques Sat Aug 2 12:14:33 2008 commencing in-memory singleton removal Sat Aug 2 12:15:47 2008 begin with 172135987 relations and 107220352 unique ideals Sat Aug 2 12:23:43 2008 reduce to 172129975 relations and 106061659 ideals in 5 passes Sat Aug 2 12:23:43 2008 max relations containing the same ideal: 43 Sat Aug 2 12:29:48 2008 removing 1504262 relations and 1104262 ideals in 400000 cliques Sat Aug 2 12:29:58 2008 commencing in-memory singleton removal Sat Aug 2 12:31:08 2008 begin with 170625713 relations and 106061659 unique ideals Sat Aug 2 12:37:26 2008 reduce to 170619050 relations and 104950717 ideals in 4 passes Sat Aug 2 12:37:26 2008 max relations containing the same ideal: 43 Sat Aug 2 12:43:33 2008 removing 1469051 relations and 1069051 ideals in 400000 cliques Sat Aug 2 12:43:44 2008 commencing in-memory singleton removal Sat Aug 2 12:44:55 2008 begin with 169149999 relations and 104950717 unique ideals Sat Aug 2 12:52:43 2008 reduce to 169143387 relations and 103875043 ideals in 5 passes Sat Aug 2 12:52:43 2008 max relations containing the same ideal: 43 Sat Aug 2 12:58:48 2008 removing 1418337 relations and 1018337 ideals in 400000 cliques Sat Aug 2 12:58:57 2008 commencing in-memory singleton removal Sat Aug 2 13:00:09 2008 begin with 167725050 relations and 103875043 unique ideals Sat Aug 2 13:06:20 2008 reduce to 167717255 relations and 102848895 ideals in 4 passes Sat Aug 2 13:06:20 2008 max relations containing the same ideal: 43 Sat Aug 2 13:12:17 2008 removing 1406683 relations and 1006683 ideals in 400000 cliques Sat Aug 2 13:12:25 2008 commencing in-memory singleton removal Sat Aug 2 13:13:33 2008 begin with 166310572 relations and 102848895 unique ideals Sat Aug 2 13:19:42 2008 reduce to 166304913 relations and 101836542 ideals in 4 passes Sat Aug 2 13:19:42 2008 max relations containing the same ideal: 43 Sat Aug 2 13:25:28 2008 removing 1372689 relations and 972689 ideals in 400000 cliques Sat Aug 2 13:25:37 2008 commencing in-memory singleton removal Sat Aug 2 13:26:47 2008 begin with 164932224 relations and 101836542 unique ideals Sat Aug 2 13:32:47 2008 reduce to 164926227 relations and 100857841 ideals in 4 passes Sat Aug 2 13:32:47 2008 max relations containing the same ideal: 43 Sat Aug 2 13:38:33 2008 removing 1329476 relations and 929476 ideals in 400000 cliques Sat Aug 2 13:38:42 2008 commencing in-memory singleton removal Sat Aug 2 13:39:51 2008 begin with 163596751 relations and 100857841 unique ideals Sat Aug 2 13:45:47 2008 reduce to 163589523 relations and 99921117 ideals in 4 passes Sat Aug 2 13:45:47 2008 max relations containing the same ideal: 43 Sat Aug 2 13:51:30 2008 removing 1349969 relations and 949969 ideals in 400000 cliques Sat Aug 2 13:51:38 2008 commencing in-memory singleton removal Sat Aug 2 13:52:45 2008 begin with 162239554 relations and 99921117 unique ideals Sat Aug 2 13:58:40 2008 reduce to 162233711 relations and 98965290 ideals in 4 passes Sat Aug 2 13:58:40 2008 max relations containing the same ideal: 42 Sat Aug 2 14:04:19 2008 removing 1309580 relations and 909580 ideals in 400000 cliques Sat Aug 2 14:04:27 2008 commencing in-memory singleton removal Sat Aug 2 14:05:34 2008 begin with 160924131 relations and 98965290 unique ideals Sat Aug 2 14:11:19 2008 reduce to 160917482 relations and 98049044 ideals in 4 passes Sat Aug 2 14:11:19 2008 max relations containing the same ideal: 42 Sat Aug 2 14:16:54 2008 removing 1302423 relations and 902423 ideals in 400000 cliques Sat Aug 2 14:17:02 2008 commencing in-memory singleton removal Sat Aug 2 14:18:07 2008 begin with 159615059 relations and 98049044 unique ideals Sat Aug 2 14:23:50 2008 reduce to 159608218 relations and 97139760 ideals in 4 passes Sat Aug 2 14:23:50 2008 max relations containing the same ideal: 42 Sat Aug 2 14:29:21 2008 removing 1283117 relations and 883117 ideals in 400000 cliques Sat Aug 2 14:29:30 2008 commencing in-memory singleton removal Sat Aug 2 14:30:38 2008 begin with 158325101 relations and 97139760 unique ideals Sat Aug 2 14:37:37 2008 reduce to 158317871 relations and 96249399 ideals in 5 passes Sat Aug 2 14:37:37 2008 max relations containing the same ideal: 42 Sat Aug 2 14:43:04 2008 removing 1249642 relations and 849642 ideals in 400000 cliques Sat Aug 2 14:43:11 2008 commencing in-memory singleton removal Sat Aug 2 14:44:16 2008 begin with 157068229 relations and 96249399 unique ideals Sat Aug 2 14:51:11 2008 reduce to 157060066 relations and 95391573 ideals in 5 passes Sat Aug 2 14:51:11 2008 max relations containing the same ideal: 42 Sat Aug 2 14:56:40 2008 removing 1271607 relations and 871607 ideals in 400000 cliques Sat Aug 2 14:56:48 2008 commencing in-memory singleton removal Sat Aug 2 14:57:51 2008 begin with 155788459 relations and 95391573 unique ideals Sat Aug 2 15:03:30 2008 reduce to 155783316 relations and 94514801 ideals in 4 passes Sat Aug 2 15:03:30 2008 max relations containing the same ideal: 42 Sat Aug 2 15:08:47 2008 removing 1230596 relations and 830596 ideals in 400000 cliques Sat Aug 2 15:08:55 2008 commencing in-memory singleton removal Sat Aug 2 15:10:00 2008 begin with 154552720 relations and 94514801 unique ideals Sat Aug 2 15:15:27 2008 reduce to 154547078 relations and 93678537 ideals in 4 passes Sat Aug 2 15:15:27 2008 max relations containing the same ideal: 42 Sat Aug 2 15:20:39 2008 removing 1239929 relations and 839929 ideals in 400000 cliques Sat Aug 2 15:20:47 2008 commencing in-memory singleton removal Sat Aug 2 15:21:50 2008 begin with 153307149 relations and 93678537 unique ideals Sat Aug 2 15:27:21 2008 reduce to 153301906 relations and 92833336 ideals in 4 passes Sat Aug 2 15:27:21 2008 max relations containing the same ideal: 42 Sat Aug 2 15:32:37 2008 removing 1221081 relations and 821081 ideals in 400000 cliques Sat Aug 2 15:32:44 2008 commencing in-memory singleton removal Sat Aug 2 15:33:47 2008 begin with 152080825 relations and 92833336 unique ideals Sat Aug 2 15:39:11 2008 reduce to 152075643 relations and 92007054 ideals in 4 passes Sat Aug 2 15:39:11 2008 max relations containing the same ideal: 41 Sat Aug 2 15:44:16 2008 removing 1215519 relations and 815519 ideals in 400000 cliques Sat Aug 2 15:44:25 2008 commencing in-memory singleton removal Sat Aug 2 15:45:24 2008 begin with 150860124 relations and 92007054 unique ideals Sat Aug 2 15:51:57 2008 reduce to 150854613 relations and 91185999 ideals in 5 passes Sat Aug 2 15:51:57 2008 max relations containing the same ideal: 40 Sat Aug 2 15:57:04 2008 removing 1179768 relations and 779768 ideals in 400000 cliques Sat Aug 2 15:57:11 2008 commencing in-memory singleton removal Sat Aug 2 15:58:11 2008 begin with 149674845 relations and 91185999 unique ideals Sat Aug 2 16:03:21 2008 reduce to 149668208 relations and 90399571 ideals in 4 passes Sat Aug 2 16:03:21 2008 max relations containing the same ideal: 40 Sat Aug 2 16:08:23 2008 removing 1213694 relations and 813694 ideals in 400000 cliques Sat Aug 2 16:08:30 2008 commencing in-memory singleton removal Sat Aug 2 16:09:30 2008 begin with 148454514 relations and 90399571 unique ideals Sat Aug 2 16:14:37 2008 reduce to 148449173 relations and 89580518 ideals in 4 passes Sat Aug 2 16:14:37 2008 max relations containing the same ideal: 40 Sat Aug 2 16:19:35 2008 removing 1208568 relations and 808568 ideals in 400000 cliques Sat Aug 2 16:19:45 2008 commencing in-memory singleton removal Sat Aug 2 16:20:42 2008 begin with 147240605 relations and 89580518 unique ideals Sat Aug 2 16:25:50 2008 reduce to 147235841 relations and 88767161 ideals in 4 passes Sat Aug 2 16:25:50 2008 max relations containing the same ideal: 40 Sat Aug 2 16:30:44 2008 removing 1196327 relations and 796327 ideals in 400000 cliques Sat Aug 2 16:30:52 2008 commencing in-memory singleton removal Sat Aug 2 16:31:51 2008 begin with 146039514 relations and 88767161 unique ideals Sat Aug 2 16:36:59 2008 reduce to 146034744 relations and 87966045 ideals in 4 passes Sat Aug 2 16:36:59 2008 max relations containing the same ideal: 40 Sat Aug 2 16:41:55 2008 removing 1153549 relations and 753549 ideals in 400000 cliques Sat Aug 2 16:42:04 2008 commencing in-memory singleton removal Sat Aug 2 16:43:04 2008 begin with 144881195 relations and 87966045 unique ideals Sat Aug 2 16:48:08 2008 reduce to 144874896 relations and 87206180 ideals in 4 passes Sat Aug 2 16:48:08 2008 max relations containing the same ideal: 39 Sat Aug 2 16:52:53 2008 removing 1203805 relations and 803805 ideals in 400000 cliques Sat Aug 2 16:53:02 2008 commencing in-memory singleton removal Sat Aug 2 16:54:00 2008 begin with 143671091 relations and 87206180 unique ideals Sat Aug 2 16:58:59 2008 reduce to 143666183 relations and 86397446 ideals in 4 passes Sat Aug 2 16:58:59 2008 max relations containing the same ideal: 39 Sat Aug 2 17:03:41 2008 removing 1162342 relations and 762342 ideals in 400000 cliques Sat Aug 2 17:03:49 2008 commencing in-memory singleton removal Sat Aug 2 17:04:44 2008 begin with 142503841 relations and 86397446 unique ideals Sat Aug 2 17:09:40 2008 reduce to 142497941 relations and 85629185 ideals in 4 passes Sat Aug 2 17:09:40 2008 max relations containing the same ideal: 39 Sat Aug 2 17:14:22 2008 removing 1174147 relations and 774147 ideals in 400000 cliques Sat Aug 2 17:14:31 2008 commencing in-memory singleton removal Sat Aug 2 17:15:25 2008 begin with 141323794 relations and 85629185 unique ideals Sat Aug 2 17:20:16 2008 reduce to 141317974 relations and 84849183 ideals in 4 passes Sat Aug 2 17:20:16 2008 max relations containing the same ideal: 39 Sat Aug 2 17:24:55 2008 removing 1153966 relations and 753966 ideals in 400000 cliques Sat Aug 2 17:25:03 2008 commencing in-memory singleton removal Sat Aug 2 17:25:59 2008 begin with 140164008 relations and 84849183 unique ideals Sat Aug 2 17:30:44 2008 reduce to 140157818 relations and 84089004 ideals in 4 passes Sat Aug 2 17:30:44 2008 max relations containing the same ideal: 39 Sat Aug 2 17:35:16 2008 removing 1143610 relations and 743610 ideals in 400000 cliques Sat Aug 2 17:35:23 2008 commencing in-memory singleton removal Sat Aug 2 17:36:16 2008 begin with 139014208 relations and 84089004 unique ideals Sat Aug 2 17:40:59 2008 reduce to 139007145 relations and 83338291 ideals in 4 passes Sat Aug 2 17:40:59 2008 max relations containing the same ideal: 39 Sat Aug 2 17:45:39 2008 removing 1134221 relations and 734221 ideals in 400000 cliques Sat Aug 2 17:45:47 2008 commencing in-memory singleton removal Sat Aug 2 17:46:43 2008 begin with 137872924 relations and 83338291 unique ideals Sat Aug 2 17:51:26 2008 reduce to 137865434 relations and 82596541 ideals in 4 passes Sat Aug 2 17:51:26 2008 max relations containing the same ideal: 39 Sat Aug 2 17:55:54 2008 removing 1111480 relations and 711480 ideals in 400000 cliques Sat Aug 2 17:56:01 2008 commencing in-memory singleton removal Sat Aug 2 17:56:57 2008 begin with 136753954 relations and 82596541 unique ideals Sat Aug 2 18:01:36 2008 reduce to 136745534 relations and 81876590 ideals in 4 passes Sat Aug 2 18:01:36 2008 max relations containing the same ideal: 38 Sat Aug 2 18:06:09 2008 removing 1109436 relations and 709436 ideals in 400000 cliques Sat Aug 2 18:06:16 2008 commencing in-memory singleton removal Sat Aug 2 18:07:10 2008 begin with 135636098 relations and 81876590 unique ideals Sat Aug 2 18:11:45 2008 reduce to 135627436 relations and 81158434 ideals in 4 passes Sat Aug 2 18:11:45 2008 max relations containing the same ideal: 38 Sat Aug 2 18:16:16 2008 removing 1155934 relations and 755934 ideals in 400000 cliques Sat Aug 2 18:16:22 2008 commencing in-memory singleton removal Sat Aug 2 18:17:14 2008 begin with 134471502 relations and 81158434 unique ideals Sat Aug 2 18:21:42 2008 reduce to 134465881 relations and 80396825 ideals in 4 passes Sat Aug 2 18:21:42 2008 max relations containing the same ideal: 38 Sat Aug 2 18:26:04 2008 removing 1130531 relations and 730531 ideals in 400000 cliques Sat Aug 2 18:26:11 2008 commencing in-memory singleton removal Sat Aug 2 18:27:00 2008 begin with 133335350 relations and 80396825 unique ideals Sat Aug 2 18:31:27 2008 reduce to 133330145 relations and 79661044 ideals in 4 passes Sat Aug 2 18:31:27 2008 max relations containing the same ideal: 37 Sat Aug 2 18:35:44 2008 removing 1090915 relations and 690915 ideals in 400000 cliques Sat Aug 2 18:35:50 2008 commencing in-memory singleton removal Sat Aug 2 18:36:42 2008 begin with 132239230 relations and 79661044 unique ideals Sat Aug 2 18:41:05 2008 reduce to 132233223 relations and 78964071 ideals in 4 passes Sat Aug 2 18:41:05 2008 max relations containing the same ideal: 37 Sat Aug 2 18:45:24 2008 removing 1073889 relations and 673889 ideals in 400000 cliques Sat Aug 2 18:45:31 2008 commencing in-memory singleton removal Sat Aug 2 18:46:21 2008 begin with 131159334 relations and 78964071 unique ideals Sat Aug 2 18:50:47 2008 reduce to 131152481 relations and 78283285 ideals in 4 passes Sat Aug 2 18:50:47 2008 max relations containing the same ideal: 37 Sat Aug 2 18:55:07 2008 removing 1122795 relations and 722795 ideals in 400000 cliques Sat Aug 2 18:55:14 2008 commencing in-memory singleton removal Sat Aug 2 18:56:05 2008 begin with 130029686 relations and 78283285 unique ideals Sat Aug 2 19:00:28 2008 reduce to 130024116 relations and 77554879 ideals in 4 passes Sat Aug 2 19:00:28 2008 max relations containing the same ideal: 37 Sat Aug 2 19:04:44 2008 removing 1083676 relations and 683676 ideals in 400000 cliques Sat Aug 2 19:04:49 2008 commencing in-memory singleton removal Sat Aug 2 19:05:39 2008 begin with 128940440 relations and 77554879 unique ideals Sat Aug 2 19:10:00 2008 reduce to 128934466 relations and 76865177 ideals in 4 passes Sat Aug 2 19:10:00 2008 max relations containing the same ideal: 37 Sat Aug 2 19:14:05 2008 removing 1084945 relations and 684945 ideals in 400000 cliques Sat Aug 2 19:14:11 2008 commencing in-memory singleton removal Sat Aug 2 19:15:02 2008 begin with 127849521 relations and 76865177 unique ideals Sat Aug 2 19:19:15 2008 reduce to 127843450 relations and 76174117 ideals in 4 passes Sat Aug 2 19:19:15 2008 max relations containing the same ideal: 37 Sat Aug 2 19:23:28 2008 removing 1076914 relations and 676914 ideals in 400000 cliques Sat Aug 2 19:23:36 2008 commencing in-memory singleton removal Sat Aug 2 19:24:23 2008 begin with 126766536 relations and 76174117 unique ideals Sat Aug 2 19:28:33 2008 reduce to 126760189 relations and 75490813 ideals in 4 passes Sat Aug 2 19:28:33 2008 max relations containing the same ideal: 37 Sat Aug 2 19:32:34 2008 removing 1084895 relations and 684895 ideals in 400000 cliques Sat Aug 2 19:32:41 2008 commencing in-memory singleton removal Sat Aug 2 19:33:28 2008 begin with 125675294 relations and 75490813 unique ideals Sat Aug 2 19:37:37 2008 reduce to 125668970 relations and 74799566 ideals in 4 passes Sat Aug 2 19:37:37 2008 max relations containing the same ideal: 36 Sat Aug 2 19:41:41 2008 removing 1065119 relations and 665119 ideals in 400000 cliques Sat Aug 2 19:41:47 2008 commencing in-memory singleton removal Sat Aug 2 19:42:36 2008 begin with 124603851 relations and 74799566 unique ideals Sat Aug 2 19:47:40 2008 reduce to 124597161 relations and 74127708 ideals in 5 passes Sat Aug 2 19:47:40 2008 max relations containing the same ideal: 36 Sat Aug 2 19:51:35 2008 removing 1062607 relations and 662607 ideals in 400000 cliques Sat Aug 2 19:51:41 2008 commencing in-memory singleton removal Sat Aug 2 19:52:25 2008 begin with 123534554 relations and 74127708 unique ideals Sat Aug 2 19:56:33 2008 reduce to 123527654 relations and 73458158 ideals in 4 passes Sat Aug 2 19:56:33 2008 max relations containing the same ideal: 36 Sat Aug 2 20:00:29 2008 removing 1053738 relations and 653738 ideals in 400000 cliques Sat Aug 2 20:00:36 2008 commencing in-memory singleton removal Sat Aug 2 20:01:19 2008 begin with 122473916 relations and 73458158 unique ideals Sat Aug 2 20:05:22 2008 reduce to 122466503 relations and 72796951 ideals in 4 passes Sat Aug 2 20:05:22 2008 max relations containing the same ideal: 36 Sat Aug 2 20:09:19 2008 removing 1052193 relations and 652193 ideals in 400000 cliques Sat Aug 2 20:09:25 2008 commencing in-memory singleton removal Sat Aug 2 20:10:10 2008 begin with 121414310 relations and 72796951 unique ideals Sat Aug 2 20:15:11 2008 reduce to 121406758 relations and 72137165 ideals in 5 passes Sat Aug 2 20:15:11 2008 max relations containing the same ideal: 36 Sat Aug 2 20:19:03 2008 removing 1042928 relations and 642928 ideals in 400000 cliques Sat Aug 2 20:19:11 2008 commencing in-memory singleton removal Sat Aug 2 20:19:58 2008 begin with 120363830 relations and 72137165 unique ideals Sat Aug 2 20:23:58 2008 reduce to 120355752 relations and 71486112 ideals in 4 passes Sat Aug 2 20:23:58 2008 max relations containing the same ideal: 36 Sat Aug 2 20:27:47 2008 removing 1067877 relations and 667877 ideals in 400000 cliques Sat Aug 2 20:27:55 2008 commencing in-memory singleton removal Sat Aug 2 20:28:39 2008 begin with 119287875 relations and 71486112 unique ideals Sat Aug 2 20:32:28 2008 reduce to 119280771 relations and 70811093 ideals in 4 passes Sat Aug 2 20:32:28 2008 max relations containing the same ideal: 36 Sat Aug 2 20:36:11 2008 removing 1084308 relations and 684308 ideals in 400000 cliques Sat Aug 2 20:36:17 2008 commencing in-memory singleton removal Sat Aug 2 20:37:01 2008 begin with 118196463 relations and 70811093 unique ideals Sat Aug 2 20:39:48 2008 reduce to 118190708 relations and 70120983 ideals in 3 passes Sat Aug 2 20:39:48 2008 max relations containing the same ideal: 35 Sat Aug 2 20:43:31 2008 removing 1046769 relations and 646769 ideals in 400000 cliques Sat Aug 2 20:43:37 2008 commencing in-memory singleton removal Sat Aug 2 20:44:20 2008 begin with 117143939 relations and 70120983 unique ideals Sat Aug 2 20:48:05 2008 reduce to 117137607 relations and 69467844 ideals in 4 passes Sat Aug 2 20:48:05 2008 max relations containing the same ideal: 35 Sat Aug 2 20:51:44 2008 removing 1074593 relations and 674593 ideals in 400000 cliques Sat Aug 2 20:51:49 2008 commencing in-memory singleton removal Sat Aug 2 20:52:34 2008 begin with 116063014 relations and 69467844 unique ideals Sat Aug 2 20:55:26 2008 reduce to 116057160 relations and 68787358 ideals in 3 passes Sat Aug 2 20:55:26 2008 max relations containing the same ideal: 35 Sat Aug 2 20:59:05 2008 removing 1043282 relations and 643282 ideals in 400000 cliques Sat Aug 2 20:59:11 2008 commencing in-memory singleton removal Sat Aug 2 20:59:57 2008 begin with 115013878 relations and 68787358 unique ideals Sat Aug 2 21:03:35 2008 reduce to 115007199 relations and 68137362 ideals in 4 passes Sat Aug 2 21:03:35 2008 max relations containing the same ideal: 34 Sat Aug 2 21:07:09 2008 removing 1047852 relations and 647852 ideals in 400000 cliques Sat Aug 2 21:07:15 2008 commencing in-memory singleton removal Sat Aug 2 21:07:56 2008 begin with 113959347 relations and 68137362 unique ideals Sat Aug 2 21:11:31 2008 reduce to 113952428 relations and 67482536 ideals in 4 passes Sat Aug 2 21:11:31 2008 max relations containing the same ideal: 34 Sat Aug 2 21:15:05 2008 removing 1043643 relations and 643643 ideals in 400000 cliques Sat Aug 2 21:15:10 2008 commencing in-memory singleton removal Sat Aug 2 21:15:52 2008 begin with 112908785 relations and 67482536 unique ideals Sat Aug 2 21:19:35 2008 reduce to 112901443 relations and 66831482 ideals in 4 passes Sat Aug 2 21:19:35 2008 max relations containing the same ideal: 34 Sat Aug 2 21:23:08 2008 removing 1037202 relations and 637202 ideals in 400000 cliques Sat Aug 2 21:23:14 2008 commencing in-memory singleton removal Sat Aug 2 21:23:56 2008 begin with 111864241 relations and 66831482 unique ideals Sat Aug 2 21:27:29 2008 reduce to 111856484 relations and 66186442 ideals in 4 passes Sat Aug 2 21:27:29 2008 max relations containing the same ideal: 34 Sat Aug 2 21:30:54 2008 removing 1027499 relations and 627499 ideals in 400000 cliques Sat Aug 2 21:31:00 2008 commencing in-memory singleton removal Sat Aug 2 21:31:40 2008 begin with 110828985 relations and 66186442 unique ideals Sat Aug 2 21:35:06 2008 reduce to 110820757 relations and 65550632 ideals in 4 passes Sat Aug 2 21:35:06 2008 max relations containing the same ideal: 34 Sat Aug 2 21:38:29 2008 removing 1022366 relations and 622366 ideals in 400000 cliques Sat Aug 2 21:38:34 2008 commencing in-memory singleton removal Sat Aug 2 21:39:12 2008 begin with 109798391 relations and 65550632 unique ideals Sat Aug 2 21:42:40 2008 reduce to 109789504 relations and 64919277 ideals in 4 passes Sat Aug 2 21:42:40 2008 max relations containing the same ideal: 34 Sat Aug 2 21:46:00 2008 removing 1039442 relations and 639442 ideals in 400000 cliques Sat Aug 2 21:46:06 2008 commencing in-memory singleton removal Sat Aug 2 21:46:49 2008 begin with 108750062 relations and 64919277 unique ideals Sat Aug 2 21:50:15 2008 reduce to 108741565 relations and 64271234 ideals in 4 passes Sat Aug 2 21:50:15 2008 max relations containing the same ideal: 34 Sat Aug 2 21:53:33 2008 removing 1046171 relations and 646171 ideals in 400000 cliques Sat Aug 2 21:53:38 2008 commencing in-memory singleton removal Sat Aug 2 21:54:19 2008 begin with 107695394 relations and 64271234 unique ideals Sat Aug 2 21:57:43 2008 reduce to 107687151 relations and 63616707 ideals in 4 passes Sat Aug 2 21:57:43 2008 max relations containing the same ideal: 34 Sat Aug 2 22:00:58 2008 removing 1036905 relations and 636905 ideals in 400000 cliques Sat Aug 2 22:01:04 2008 commencing in-memory singleton removal Sat Aug 2 22:01:40 2008 begin with 106650246 relations and 63616707 unique ideals Sat Aug 2 22:05:02 2008 reduce to 106641800 relations and 62971263 ideals in 4 passes Sat Aug 2 22:05:02 2008 max relations containing the same ideal: 34 Sat Aug 2 22:08:26 2008 removing 1029930 relations and 629930 ideals in 400000 cliques Sat Aug 2 22:08:30 2008 commencing in-memory singleton removal Sat Aug 2 22:09:08 2008 begin with 105611870 relations and 62971263 unique ideals Sat Aug 2 22:12:29 2008 reduce to 105602835 relations and 62332189 ideals in 4 passes Sat Aug 2 22:12:29 2008 max relations containing the same ideal: 34 Sat Aug 2 22:15:42 2008 removing 1023116 relations and 623116 ideals in 400000 cliques Sat Aug 2 22:15:48 2008 commencing in-memory singleton removal Sat Aug 2 22:16:26 2008 begin with 104579719 relations and 62332189 unique ideals Sat Aug 2 22:19:40 2008 reduce to 104570210 relations and 61699441 ideals in 4 passes Sat Aug 2 22:19:40 2008 max relations containing the same ideal: 34 Sat Aug 2 22:22:48 2008 removing 1019848 relations and 619848 ideals in 400000 cliques Sat Aug 2 22:22:53 2008 commencing in-memory singleton removal Sat Aug 2 22:23:35 2008 begin with 103550362 relations and 61699441 unique ideals Sat Aug 2 22:26:47 2008 reduce to 103540310 relations and 61069421 ideals in 4 passes Sat Aug 2 22:26:47 2008 max relations containing the same ideal: 34 Sat Aug 2 22:29:58 2008 removing 1013151 relations and 613151 ideals in 400000 cliques Sat Aug 2 22:30:06 2008 commencing in-memory singleton removal Sat Aug 2 22:30:43 2008 begin with 102527159 relations and 61069421 unique ideals Sat Aug 2 22:33:50 2008 reduce to 102516586 relations and 60445553 ideals in 4 passes Sat Aug 2 22:33:50 2008 max relations containing the same ideal: 34 Sat Aug 2 22:36:56 2008 removing 1019357 relations and 619357 ideals in 400000 cliques Sat Aug 2 22:37:02 2008 commencing in-memory singleton removal Sat Aug 2 22:37:39 2008 begin with 101497229 relations and 60445553 unique ideals Sat Aug 2 22:40:46 2008 reduce to 101486547 relations and 59815339 ideals in 4 passes Sat Aug 2 22:40:46 2008 max relations containing the same ideal: 33 Sat Aug 2 22:43:45 2008 removing 1022975 relations and 622975 ideals in 400000 cliques Sat Aug 2 22:43:49 2008 commencing in-memory singleton removal Sat Aug 2 22:44:26 2008 begin with 100463572 relations and 59815339 unique ideals Sat Aug 2 22:47:29 2008 reduce to 100452612 relations and 59181219 ideals in 4 passes Sat Aug 2 22:47:29 2008 max relations containing the same ideal: 32 Sat Aug 2 22:50:28 2008 removing 1020529 relations and 620529 ideals in 400000 cliques Sat Aug 2 22:50:33 2008 commencing in-memory singleton removal Sat Aug 2 22:51:10 2008 begin with 99432083 relations and 59181219 unique ideals Sat Aug 2 22:54:10 2008 reduce to 99421168 relations and 58549610 ideals in 4 passes Sat Aug 2 22:54:10 2008 max relations containing the same ideal: 31 Sat Aug 2 22:57:10 2008 removing 1015047 relations and 615047 ideals in 400000 cliques Sat Aug 2 22:57:15 2008 commencing in-memory singleton removal Sat Aug 2 22:57:51 2008 begin with 98406121 relations and 58549610 unique ideals Sat Aug 2 23:00:56 2008 reduce to 98394994 relations and 57923259 ideals in 4 passes Sat Aug 2 23:00:56 2008 max relations containing the same ideal: 31 Sat Aug 2 23:03:56 2008 removing 1008413 relations and 608413 ideals in 400000 cliques Sat Aug 2 23:04:01 2008 commencing in-memory singleton removal Sat Aug 2 23:04:33 2008 begin with 97386581 relations and 57923259 unique ideals Sat Aug 2 23:07:30 2008 reduce to 97374794 relations and 57302856 ideals in 4 passes Sat Aug 2 23:07:30 2008 max relations containing the same ideal: 31 Sat Aug 2 23:10:22 2008 removing 1002772 relations and 602772 ideals in 400000 cliques Sat Aug 2 23:10:27 2008 commencing in-memory singleton removal Sat Aug 2 23:11:00 2008 begin with 96372022 relations and 57302856 unique ideals Sat Aug 2 23:13:52 2008 reduce to 96359649 relations and 56687488 ideals in 4 passes Sat Aug 2 23:13:52 2008 max relations containing the same ideal: 30 Sat Aug 2 23:16:48 2008 removing 1013973 relations and 613973 ideals in 400000 cliques Sat Aug 2 23:16:53 2008 commencing in-memory singleton removal Sat Aug 2 23:17:27 2008 begin with 95345676 relations and 56687488 unique ideals Sat Aug 2 23:20:17 2008 reduce to 95333133 relations and 56060733 ideals in 4 passes Sat Aug 2 23:20:17 2008 max relations containing the same ideal: 30 Sat Aug 2 23:23:13 2008 removing 1006474 relations and 606474 ideals in 400000 cliques Sat Aug 2 23:23:17 2008 commencing in-memory singleton removal Sat Aug 2 23:23:49 2008 begin with 94326659 relations and 56060733 unique ideals Sat Aug 2 23:26:39 2008 reduce to 94313863 relations and 55441221 ideals in 4 passes Sat Aug 2 23:26:39 2008 max relations containing the same ideal: 30 Sat Aug 2 23:29:27 2008 removing 1005243 relations and 605243 ideals in 400000 cliques Sat Aug 2 23:29:33 2008 commencing in-memory singleton removal Sat Aug 2 23:30:06 2008 begin with 93308620 relations and 55441221 unique ideals Sat Aug 2 23:32:56 2008 reduce to 93295612 relations and 54822740 ideals in 4 passes Sat Aug 2 23:32:56 2008 max relations containing the same ideal: 30 Sat Aug 2 23:35:45 2008 removing 999221 relations and 599221 ideals in 400000 cliques Sat Aug 2 23:35:49 2008 commencing in-memory singleton removal Sat Aug 2 23:36:22 2008 begin with 92296391 relations and 54822740 unique ideals Sat Aug 2 23:39:07 2008 reduce to 92282968 relations and 54209809 ideals in 4 passes Sat Aug 2 23:39:07 2008 max relations containing the same ideal: 30 Sat Aug 2 23:41:50 2008 removing 996196 relations and 596196 ideals in 400000 cliques Sat Aug 2 23:41:54 2008 commencing in-memory singleton removal Sat Aug 2 23:42:25 2008 begin with 91286772 relations and 54209809 unique ideals Sat Aug 2 23:45:08 2008 reduce to 91272774 relations and 53599325 ideals in 4 passes Sat Aug 2 23:45:08 2008 max relations containing the same ideal: 30 Sat Aug 2 23:47:49 2008 removing 1004240 relations and 604240 ideals in 400000 cliques Sat Aug 2 23:47:54 2008 commencing in-memory singleton removal Sat Aug 2 23:48:23 2008 begin with 90268534 relations and 53599325 unique ideals Sat Aug 2 23:51:03 2008 reduce to 90254559 relations and 52980802 ideals in 4 passes Sat Aug 2 23:51:03 2008 max relations containing the same ideal: 29 Sat Aug 2 23:53:41 2008 removing 996357 relations and 596357 ideals in 400000 cliques Sat Aug 2 23:53:46 2008 commencing in-memory singleton removal Sat Aug 2 23:54:16 2008 begin with 89258202 relations and 52980802 unique ideals Sat Aug 2 23:56:50 2008 reduce to 89243866 relations and 52369800 ideals in 4 passes Sat Aug 2 23:56:50 2008 max relations containing the same ideal: 29 Sat Aug 2 23:59:29 2008 removing 993027 relations and 593027 ideals in 400000 cliques Sat Aug 2 23:59:33 2008 commencing in-memory singleton removal Sun Aug 3 00:00:01 2008 begin with 88250839 relations and 52369800 unique ideals Sun Aug 3 00:02:41 2008 reduce to 88236280 relations and 51761908 ideals in 4 passes Sun Aug 3 00:02:41 2008 max relations containing the same ideal: 29 Sun Aug 3 00:05:13 2008 removing 995721 relations and 595721 ideals in 400000 cliques Sun Aug 3 00:05:19 2008 commencing in-memory singleton removal Sun Aug 3 00:05:48 2008 begin with 87240559 relations and 51761908 unique ideals Sun Aug 3 00:08:25 2008 reduce to 87225609 relations and 51150904 ideals in 4 passes Sun Aug 3 00:08:25 2008 max relations containing the same ideal: 28 Sun Aug 3 00:10:56 2008 removing 990889 relations and 590889 ideals in 400000 cliques Sun Aug 3 00:11:00 2008 commencing in-memory singleton removal Sun Aug 3 00:11:32 2008 begin with 86234720 relations and 51150904 unique ideals Sun Aug 3 00:14:05 2008 reduce to 86219178 relations and 50544111 ideals in 4 passes Sun Aug 3 00:14:05 2008 max relations containing the same ideal: 28 Sun Aug 3 00:16:41 2008 removing 990023 relations and 590023 ideals in 400000 cliques Sun Aug 3 00:16:46 2008 commencing in-memory singleton removal Sun Aug 3 00:17:16 2008 begin with 85229155 relations and 50544111 unique ideals Sun Aug 3 00:19:11 2008 reduce to 85213425 relations and 49938018 ideals in 3 passes Sun Aug 3 00:19:11 2008 max relations containing the same ideal: 28 Sun Aug 3 00:21:42 2008 removing 989524 relations and 589524 ideals in 400000 cliques Sun Aug 3 00:21:47 2008 commencing in-memory singleton removal Sun Aug 3 00:22:18 2008 begin with 84223901 relations and 49938018 unique ideals Sun Aug 3 00:24:46 2008 reduce to 84207834 relations and 49332014 ideals in 4 passes Sun Aug 3 00:24:46 2008 max relations containing the same ideal: 27 Sun Aug 3 00:27:16 2008 removing 987943 relations and 587943 ideals in 400000 cliques Sun Aug 3 00:27:21 2008 commencing in-memory singleton removal Sun Aug 3 00:27:50 2008 begin with 83219891 relations and 49332014 unique ideals Sun Aug 3 00:30:14 2008 reduce to 83203338 relations and 48727132 ideals in 4 passes Sun Aug 3 00:30:14 2008 max relations containing the same ideal: 27 Sun Aug 3 00:32:39 2008 removing 986794 relations and 586794 ideals in 400000 cliques Sun Aug 3 00:32:44 2008 commencing in-memory singleton removal Sun Aug 3 00:33:09 2008 begin with 82216544 relations and 48727132 unique ideals Sun Aug 3 00:35:29 2008 reduce to 82199845 relations and 48123225 ideals in 4 passes Sun Aug 3 00:35:29 2008 max relations containing the same ideal: 27 Sun Aug 3 00:37:58 2008 removing 984428 relations and 584428 ideals in 400000 cliques Sun Aug 3 00:38:02 2008 commencing in-memory singleton removal Sun Aug 3 00:38:27 2008 begin with 81215417 relations and 48123225 unique ideals Sun Aug 3 00:40:46 2008 reduce to 81198009 relations and 47520944 ideals in 4 passes Sun Aug 3 00:40:46 2008 max relations containing the same ideal: 26 Sun Aug 3 00:43:09 2008 removing 983445 relations and 583445 ideals in 400000 cliques Sun Aug 3 00:43:13 2008 commencing in-memory singleton removal Sun Aug 3 00:43:38 2008 begin with 80214564 relations and 47520944 unique ideals Sun Aug 3 00:45:54 2008 reduce to 80197104 relations and 46919554 ideals in 4 passes Sun Aug 3 00:45:54 2008 max relations containing the same ideal: 26 Sun Aug 3 00:48:16 2008 removing 982284 relations and 582284 ideals in 400000 cliques Sun Aug 3 00:48:20 2008 commencing in-memory singleton removal Sun Aug 3 00:48:45 2008 begin with 79214820 relations and 46919554 unique ideals Sun Aug 3 00:51:00 2008 reduce to 79197033 relations and 46318986 ideals in 4 passes Sun Aug 3 00:51:00 2008 max relations containing the same ideal: 26 Sun Aug 3 00:53:21 2008 removing 982090 relations and 582090 ideals in 400000 cliques Sun Aug 3 00:53:29 2008 commencing in-memory singleton removal Sun Aug 3 00:53:55 2008 begin with 78214943 relations and 46318986 unique ideals Sun Aug 3 00:56:10 2008 reduce to 78196962 relations and 45718421 ideals in 4 passes Sun Aug 3 00:56:10 2008 max relations containing the same ideal: 26 Sun Aug 3 00:58:25 2008 removing 980666 relations and 580666 ideals in 400000 cliques Sun Aug 3 00:58:30 2008 commencing in-memory singleton removal Sun Aug 3 00:58:55 2008 begin with 77216296 relations and 45718421 unique ideals Sun Aug 3 01:01:04 2008 reduce to 77198003 relations and 45119003 ideals in 4 passes Sun Aug 3 01:01:04 2008 max relations containing the same ideal: 25 Sun Aug 3 01:03:16 2008 removing 979630 relations and 579630 ideals in 400000 cliques Sun Aug 3 01:03:21 2008 commencing in-memory singleton removal Sun Aug 3 01:03:48 2008 begin with 76218373 relations and 45119003 unique ideals Sun Aug 3 01:05:59 2008 reduce to 76199642 relations and 44520118 ideals in 4 passes Sun Aug 3 01:05:59 2008 max relations containing the same ideal: 25 Sun Aug 3 01:08:10 2008 removing 978902 relations and 578902 ideals in 400000 cliques Sun Aug 3 01:08:14 2008 commencing in-memory singleton removal Sun Aug 3 01:08:38 2008 begin with 75220740 relations and 44520118 unique ideals Sun Aug 3 01:10:53 2008 reduce to 75201374 relations and 43921313 ideals in 4 passes Sun Aug 3 01:10:53 2008 max relations containing the same ideal: 25 Sun Aug 3 01:13:04 2008 removing 976027 relations and 576027 ideals in 400000 cliques Sun Aug 3 01:13:08 2008 commencing in-memory singleton removal Sun Aug 3 01:13:32 2008 begin with 74225347 relations and 43921313 unique ideals Sun Aug 3 01:15:39 2008 reduce to 74205922 relations and 43325271 ideals in 4 passes Sun Aug 3 01:15:39 2008 max relations containing the same ideal: 25 Sun Aug 3 01:17:47 2008 removing 973783 relations and 573783 ideals in 400000 cliques Sun Aug 3 01:17:51 2008 commencing in-memory singleton removal Sun Aug 3 01:18:14 2008 begin with 73232139 relations and 43325271 unique ideals Sun Aug 3 01:20:19 2008 reduce to 73212424 relations and 42731178 ideals in 4 passes Sun Aug 3 01:20:19 2008 max relations containing the same ideal: 25 Sun Aug 3 01:22:20 2008 removing 973187 relations and 573187 ideals in 400000 cliques Sun Aug 3 01:22:25 2008 commencing in-memory singleton removal Sun Aug 3 01:22:48 2008 begin with 72239237 relations and 42731178 unique ideals Sun Aug 3 01:24:52 2008 reduce to 72219228 relations and 42137297 ideals in 4 passes Sun Aug 3 01:24:52 2008 max relations containing the same ideal: 25 Sun Aug 3 01:26:55 2008 removing 973788 relations and 573788 ideals in 400000 cliques Sun Aug 3 01:26:58 2008 commencing in-memory singleton removal Sun Aug 3 01:27:20 2008 begin with 71245440 relations and 42137297 unique ideals Sun Aug 3 01:29:20 2008 reduce to 71225293 relations and 41542784 ideals in 4 passes Sun Aug 3 01:29:20 2008 max relations containing the same ideal: 25 Sun Aug 3 01:31:24 2008 removing 973765 relations and 573765 ideals in 400000 cliques Sun Aug 3 01:31:27 2008 commencing in-memory singleton removal Sun Aug 3 01:31:51 2008 begin with 70251528 relations and 41542784 unique ideals Sun Aug 3 01:33:53 2008 reduce to 70231283 relations and 40948142 ideals in 4 passes Sun Aug 3 01:33:53 2008 max relations containing the same ideal: 25 Sun Aug 3 01:35:55 2008 removing 973996 relations and 573996 ideals in 400000 cliques Sun Aug 3 01:35:58 2008 commencing in-memory singleton removal Sun Aug 3 01:36:19 2008 begin with 69257287 relations and 40948142 unique ideals Sun Aug 3 01:38:15 2008 reduce to 69236989 relations and 40353136 ideals in 4 passes Sun Aug 3 01:38:15 2008 max relations containing the same ideal: 25 Sun Aug 3 01:40:11 2008 removing 974696 relations and 574696 ideals in 400000 cliques Sun Aug 3 01:40:16 2008 commencing in-memory singleton removal Sun Aug 3 01:40:38 2008 begin with 68262293 relations and 40353136 unique ideals Sun Aug 3 01:42:32 2008 reduce to 68241443 relations and 39756953 ideals in 4 passes Sun Aug 3 01:42:32 2008 max relations containing the same ideal: 25 Sun Aug 3 01:44:27 2008 removing 975415 relations and 575415 ideals in 400000 cliques Sun Aug 3 01:44:31 2008 commencing in-memory singleton removal Sun Aug 3 01:44:52 2008 begin with 67266028 relations and 39756953 unique ideals Sun Aug 3 01:46:39 2008 reduce to 67245208 relations and 39160026 ideals in 4 passes Sun Aug 3 01:46:39 2008 max relations containing the same ideal: 25 Sun Aug 3 01:48:30 2008 removing 975777 relations and 575777 ideals in 400000 cliques Sun Aug 3 01:48:34 2008 commencing in-memory singleton removal Sun Aug 3 01:48:53 2008 begin with 66269431 relations and 39160026 unique ideals Sun Aug 3 01:50:49 2008 reduce to 66248295 relations and 38562450 ideals in 4 passes Sun Aug 3 01:50:49 2008 max relations containing the same ideal: 25 Sun Aug 3 01:52:42 2008 removing 976157 relations and 576157 ideals in 400000 cliques Sun Aug 3 01:52:47 2008 commencing in-memory singleton removal Sun Aug 3 01:53:08 2008 begin with 65272138 relations and 38562450 unique ideals Sun Aug 3 01:54:57 2008 reduce to 65250642 relations and 37964107 ideals in 4 passes Sun Aug 3 01:54:57 2008 max relations containing the same ideal: 25 Sun Aug 3 01:56:47 2008 removing 976467 relations and 576467 ideals in 400000 cliques Sun Aug 3 01:56:50 2008 commencing in-memory singleton removal Sun Aug 3 01:57:10 2008 begin with 64274175 relations and 37964107 unique ideals Sun Aug 3 01:58:53 2008 reduce to 64252885 relations and 37365638 ideals in 4 passes Sun Aug 3 01:58:53 2008 max relations containing the same ideal: 24 Sun Aug 3 02:00:39 2008 removing 977232 relations and 577232 ideals in 400000 cliques Sun Aug 3 02:00:43 2008 commencing in-memory singleton removal Sun Aug 3 02:01:02 2008 begin with 63275653 relations and 37365638 unique ideals Sun Aug 3 02:02:45 2008 reduce to 63253605 relations and 36765630 ideals in 4 passes Sun Aug 3 02:02:45 2008 max relations containing the same ideal: 24 Sun Aug 3 02:04:30 2008 removing 978452 relations and 578452 ideals in 400000 cliques Sun Aug 3 02:04:33 2008 commencing in-memory singleton removal Sun Aug 3 02:04:54 2008 begin with 62275153 relations and 36765630 unique ideals Sun Aug 3 02:06:33 2008 reduce to 62252988 relations and 36164289 ideals in 4 passes Sun Aug 3 02:06:33 2008 max relations containing the same ideal: 24 Sun Aug 3 02:08:16 2008 removing 978418 relations and 578418 ideals in 400000 cliques Sun Aug 3 02:08:20 2008 commencing in-memory singleton removal Sun Aug 3 02:08:41 2008 begin with 61274570 relations and 36164289 unique ideals Sun Aug 3 02:10:20 2008 reduce to 61252031 relations and 35562610 ideals in 4 passes Sun Aug 3 02:10:20 2008 max relations containing the same ideal: 24 Sun Aug 3 02:12:04 2008 removing 979743 relations and 579743 ideals in 400000 cliques Sun Aug 3 02:12:08 2008 commencing in-memory singleton removal Sun Aug 3 02:12:28 2008 begin with 60272288 relations and 35562610 unique ideals Sun Aug 3 02:14:07 2008 reduce to 60250064 relations and 34959885 ideals in 4 passes Sun Aug 3 02:14:07 2008 max relations containing the same ideal: 24 Sun Aug 3 02:15:48 2008 removing 980704 relations and 580704 ideals in 400000 cliques Sun Aug 3 02:15:51 2008 commencing in-memory singleton removal Sun Aug 3 02:16:09 2008 begin with 59269360 relations and 34959885 unique ideals Sun Aug 3 02:17:42 2008 reduce to 59246613 relations and 34355685 ideals in 4 passes Sun Aug 3 02:17:42 2008 max relations containing the same ideal: 24 Sun Aug 3 02:19:20 2008 removing 980858 relations and 580858 ideals in 400000 cliques Sun Aug 3 02:19:23 2008 commencing in-memory singleton removal Sun Aug 3 02:19:39 2008 begin with 58265755 relations and 34355685 unique ideals Sun Aug 3 02:21:13 2008 reduce to 58242264 relations and 33750565 ideals in 4 passes Sun Aug 3 02:21:13 2008 max relations containing the same ideal: 23 Sun Aug 3 02:22:49 2008 removing 982167 relations and 582167 ideals in 400000 cliques Sun Aug 3 02:22:52 2008 commencing in-memory singleton removal Sun Aug 3 02:23:09 2008 begin with 57260097 relations and 33750565 unique ideals Sun Aug 3 02:24:37 2008 reduce to 57236475 relations and 33144004 ideals in 4 passes Sun Aug 3 02:24:37 2008 max relations containing the same ideal: 22 Sun Aug 3 02:26:10 2008 removing 983097 relations and 583097 ideals in 400000 cliques Sun Aug 3 02:26:14 2008 commencing in-memory singleton removal Sun Aug 3 02:26:30 2008 begin with 56253378 relations and 33144004 unique ideals Sun Aug 3 02:28:00 2008 reduce to 56229169 relations and 32535890 ideals in 4 passes Sun Aug 3 02:28:00 2008 max relations containing the same ideal: 21 Sun Aug 3 02:29:31 2008 removing 985123 relations and 585123 ideals in 400000 cliques Sun Aug 3 02:29:35 2008 commencing in-memory singleton removal Sun Aug 3 02:29:50 2008 begin with 55244046 relations and 32535890 unique ideals Sun Aug 3 02:31:19 2008 reduce to 55219640 relations and 31925545 ideals in 4 passes Sun Aug 3 02:31:19 2008 max relations containing the same ideal: 21 Sun Aug 3 02:32:48 2008 removing 415354 relations and 276500 ideals in 138854 cliques Sun Aug 3 02:32:51 2008 commencing in-memory singleton removal Sun Aug 3 02:33:06 2008 begin with 54804286 relations and 31925545 unique ideals Sun Aug 3 02:34:07 2008 reduce to 54803271 relations and 31648028 ideals in 3 passes Sun Aug 3 02:34:07 2008 max relations containing the same ideal: 21 Sun Aug 3 02:34:24 2008 filtering rational ideals above 720000 Sun Aug 3 02:34:24 2008 filtering algebraic ideals above 720000 Sun Aug 3 02:34:24 2008 need 115888 more relations than ideals Sun Aug 3 02:34:24 2008 commencing singleton removal, final pass Sun Aug 3 14:10:22 2008 keeping 118842792 ideals with weight <= 20, new excess is 13015524 Sun Aug 3 14:21:54 2008 memory use: 5060.2 MB Sun Aug 3 14:21:58 2008 commencing in-memory singleton removal Sun Aug 3 14:23:25 2008 begin with 185289660 relations and 118842792 unique ideals Sun Aug 3 14:32:47 2008 reduce to 185289458 relations and 118842590 ideals in 5 passes Sun Aug 3 14:32:47 2008 max relations containing the same ideal: 20 Sun Aug 3 14:40:19 2008 removing 2638000 relations and 2238000 ideals in 400000 cliques Sun Aug 3 14:40:33 2008 commencing in-memory singleton removal Sun Aug 3 14:41:58 2008 begin with 182651458 relations and 118842590 unique ideals Sun Aug 3 14:51:18 2008 reduce to 182635457 relations and 116588547 ideals in 5 passes Sun Aug 3 14:51:18 2008 max relations containing the same ideal: 20 Sun Aug 3 14:58:23 2008 removing 2057773 relations and 1657773 ideals in 400000 cliques Sun Aug 3 14:58:34 2008 commencing in-memory singleton removal Sun Aug 3 15:00:02 2008 begin with 180577684 relations and 116588547 unique ideals Sun Aug 3 15:08:53 2008 reduce to 180566962 relations and 114920032 ideals in 5 passes Sun Aug 3 15:08:53 2008 max relations containing the same ideal: 20 Sun Aug 3 15:15:37 2008 removing 1863833 relations and 1463833 ideals in 400000 cliques Sun Aug 3 15:15:50 2008 commencing in-memory singleton removal Sun Aug 3 15:17:12 2008 begin with 178703129 relations and 114920032 unique ideals Sun Aug 3 15:25:52 2008 reduce to 178693820 relations and 113446870 ideals in 5 passes Sun Aug 3 15:25:52 2008 max relations containing the same ideal: 20 Sun Aug 3 15:32:35 2008 removing 1734815 relations and 1334815 ideals in 400000 cliques Sun Aug 3 15:32:45 2008 commencing in-memory singleton removal Sun Aug 3 15:34:08 2008 begin with 176959005 relations and 113446870 unique ideals Sun Aug 3 15:42:43 2008 reduce to 176950336 relations and 112103371 ideals in 5 passes Sun Aug 3 15:42:43 2008 max relations containing the same ideal: 20 Sun Aug 3 15:49:19 2008 removing 1655794 relations and 1255794 ideals in 400000 cliques Sun Aug 3 15:49:32 2008 commencing in-memory singleton removal Sun Aug 3 15:50:54 2008 begin with 175294542 relations and 112103371 unique ideals Sun Aug 3 15:57:47 2008 reduce to 175286651 relations and 110839662 ideals in 4 passes Sun Aug 3 15:57:47 2008 max relations containing the same ideal: 20 Sun Aug 3 16:04:21 2008 removing 1590965 relations and 1190965 ideals in 400000 cliques Sun Aug 3 16:04:31 2008 commencing in-memory singleton removal Sun Aug 3 16:05:50 2008 begin with 173695686 relations and 110839662 unique ideals Sun Aug 3 16:14:22 2008 reduce to 173687803 relations and 109640798 ideals in 5 passes Sun Aug 3 16:14:22 2008 max relations containing the same ideal: 20 Sun Aug 3 16:20:43 2008 removing 1552322 relations and 1152322 ideals in 400000 cliques Sun Aug 3 16:20:56 2008 commencing in-memory singleton removal Sun Aug 3 16:22:14 2008 begin with 172135481 relations and 109640798 unique ideals Sun Aug 3 16:30:41 2008 reduce to 172129440 relations and 108482418 ideals in 5 passes Sun Aug 3 16:30:41 2008 max relations containing the same ideal: 20 Sun Aug 3 16:37:13 2008 removing 1504662 relations and 1104662 ideals in 400000 cliques Sun Aug 3 16:37:23 2008 commencing in-memory singleton removal Sun Aug 3 16:38:45 2008 begin with 170624778 relations and 108482418 unique ideals Sun Aug 3 16:45:23 2008 reduce to 170618098 relations and 107371061 ideals in 4 passes Sun Aug 3 16:45:23 2008 max relations containing the same ideal: 20 Sun Aug 3 16:51:43 2008 removing 1469051 relations and 1069051 ideals in 400000 cliques Sun Aug 3 16:51:52 2008 commencing in-memory singleton removal Sun Aug 3 16:53:07 2008 begin with 169149047 relations and 107371061 unique ideals Sun Aug 3 17:01:21 2008 reduce to 169142398 relations and 106295352 ideals in 5 passes Sun Aug 3 17:01:21 2008 max relations containing the same ideal: 20 Sun Aug 3 17:07:48 2008 removing 1418297 relations and 1018297 ideals in 400000 cliques Sun Aug 3 17:07:57 2008 commencing in-memory singleton removal Sun Aug 3 17:09:15 2008 begin with 167724101 relations and 106295352 unique ideals Sun Aug 3 17:15:44 2008 reduce to 167716218 relations and 105269158 ideals in 4 passes Sun Aug 3 17:15:44 2008 max relations containing the same ideal: 20 Sun Aug 3 17:22:06 2008 removing 1406268 relations and 1006268 ideals in 400000 cliques Sun Aug 3 17:22:16 2008 commencing in-memory singleton removal Sun Aug 3 17:23:31 2008 begin with 166309950 relations and 105269158 unique ideals Sun Aug 3 17:29:51 2008 reduce to 166304280 relations and 104257208 ideals in 4 passes Sun Aug 3 17:29:51 2008 max relations containing the same ideal: 20 Sun Aug 3 17:36:06 2008 removing 1373106 relations and 973106 ideals in 400000 cliques Sun Aug 3 17:36:15 2008 commencing in-memory singleton removal Sun Aug 3 17:37:30 2008 begin with 164931174 relations and 104257208 unique ideals Sun Aug 3 17:43:47 2008 reduce to 164925218 relations and 103278130 ideals in 4 passes Sun Aug 3 17:43:47 2008 max relations containing the same ideal: 20 Sun Aug 3 17:50:00 2008 removing 1330081 relations and 930081 ideals in 400000 cliques Sun Aug 3 17:50:09 2008 commencing in-memory singleton removal Sun Aug 3 17:51:23 2008 begin with 163595137 relations and 103278130 unique ideals Sun Aug 3 17:57:29 2008 reduce to 163587938 relations and 102340830 ideals in 4 passes Sun Aug 3 17:57:29 2008 max relations containing the same ideal: 20 Sun Aug 3 18:03:29 2008 removing 1349284 relations and 949284 ideals in 400000 cliques Sun Aug 3 18:03:40 2008 commencing in-memory singleton removal Sun Aug 3 18:04:51 2008 begin with 162238654 relations and 102340830 unique ideals Sun Aug 3 18:10:55 2008 reduce to 162232842 relations and 101385720 ideals in 4 passes Sun Aug 3 18:10:55 2008 max relations containing the same ideal: 20 Sun Aug 3 18:16:49 2008 removing 1309959 relations and 909959 ideals in 400000 cliques Sun Aug 3 18:17:00 2008 commencing in-memory singleton removal Sun Aug 3 18:18:08 2008 begin with 160922883 relations and 101385720 unique ideals Sun Aug 3 18:24:08 2008 reduce to 160916235 relations and 100469097 ideals in 4 passes Sun Aug 3 18:24:08 2008 max relations containing the same ideal: 20 Sun Aug 3 18:29:53 2008 removing 1302731 relations and 902731 ideals in 400000 cliques Sun Aug 3 18:30:04 2008 commencing in-memory singleton removal Sun Aug 3 18:31:17 2008 begin with 159613504 relations and 100469097 unique ideals Sun Aug 3 18:37:12 2008 reduce to 159606756 relations and 99559596 ideals in 4 passes Sun Aug 3 18:37:12 2008 max relations containing the same ideal: 20 Sun Aug 3 18:42:55 2008 removing 1282536 relations and 882536 ideals in 400000 cliques Sun Aug 3 18:43:04 2008 commencing in-memory singleton removal Sun Aug 3 18:44:11 2008 begin with 158324220 relations and 99559596 unique ideals Sun Aug 3 18:51:36 2008 reduce to 158316912 relations and 98669733 ideals in 5 passes Sun Aug 3 18:51:36 2008 max relations containing the same ideal: 20 Sun Aug 3 18:57:16 2008 removing 1249797 relations and 849797 ideals in 400000 cliques Sun Aug 3 18:57:26 2008 commencing in-memory singleton removal Sun Aug 3 18:58:34 2008 begin with 157067115 relations and 98669733 unique ideals Sun Aug 3 19:04:24 2008 reduce to 157058983 relations and 97811785 ideals in 4 passes Sun Aug 3 19:04:24 2008 max relations containing the same ideal: 20 Sun Aug 3 19:09:57 2008 removing 1271998 relations and 871998 ideals in 400000 cliques Sun Aug 3 19:10:06 2008 commencing in-memory singleton removal Sun Aug 3 19:11:14 2008 begin with 155786985 relations and 97811785 unique ideals Sun Aug 3 19:16:59 2008 reduce to 155781791 relations and 96934574 ideals in 4 passes Sun Aug 3 19:16:59 2008 max relations containing the same ideal: 20 Sun Aug 3 19:22:34 2008 removing 1230709 relations and 830709 ideals in 400000 cliques Sun Aug 3 19:22:42 2008 commencing in-memory singleton removal Sun Aug 3 19:23:48 2008 begin with 154551082 relations and 96934574 unique ideals Sun Aug 3 19:29:25 2008 reduce to 154545428 relations and 96098186 ideals in 4 passes Sun Aug 3 19:29:25 2008 max relations containing the same ideal: 20 Sun Aug 3 19:34:54 2008 removing 1241687 relations and 841687 ideals in 400000 cliques Sun Aug 3 19:35:04 2008 commencing in-memory singleton removal Sun Aug 3 19:36:08 2008 begin with 153303741 relations and 96098186 unique ideals Sun Aug 3 19:41:52 2008 reduce to 153298609 relations and 95251347 ideals in 4 passes Sun Aug 3 19:41:52 2008 max relations containing the same ideal: 20 Sun Aug 3 19:47:17 2008 removing 1218890 relations and 818890 ideals in 400000 cliques Sun Aug 3 19:47:29 2008 commencing in-memory singleton removal Sun Aug 3 19:48:32 2008 begin with 152079719 relations and 95251347 unique ideals Sun Aug 3 19:54:00 2008 reduce to 152074457 relations and 94427178 ideals in 4 passes Sun Aug 3 19:54:00 2008 max relations containing the same ideal: 20 Sun Aug 3 19:59:21 2008 removing 1216396 relations and 816396 ideals in 400000 cliques Sun Aug 3 19:59:33 2008 commencing in-memory singleton removal Sun Aug 3 20:00:36 2008 begin with 150858061 relations and 94427178 unique ideals Sun Aug 3 20:06:00 2008 reduce to 150852627 relations and 93605323 ideals in 4 passes Sun Aug 3 20:06:00 2008 max relations containing the same ideal: 20 Sun Aug 3 20:11:18 2008 removing 1187087 relations and 787087 ideals in 400000 cliques Sun Aug 3 20:11:26 2008 commencing in-memory singleton removal Sun Aug 3 20:12:31 2008 begin with 149665540 relations and 93605323 unique ideals Sun Aug 3 20:17:55 2008 reduce to 149659084 relations and 92811762 ideals in 4 passes Sun Aug 3 20:17:55 2008 max relations containing the same ideal: 20 Sun Aug 3 20:23:11 2008 removing 1205274 relations and 805274 ideals in 400000 cliques Sun Aug 3 20:23:21 2008 commencing in-memory singleton removal Sun Aug 3 20:24:22 2008 begin with 148453810 relations and 92811762 unique ideals Sun Aug 3 20:29:46 2008 reduce to 148448181 relations and 92000838 ideals in 4 passes Sun Aug 3 20:29:46 2008 max relations containing the same ideal: 20 Sun Aug 3 20:34:56 2008 removing 1212615 relations and 812615 ideals in 400000 cliques Sun Aug 3 20:35:05 2008 commencing in-memory singleton removal Sun Aug 3 20:36:07 2008 begin with 147235566 relations and 92000838 unique ideals Sun Aug 3 20:41:21 2008 reduce to 147230909 relations and 91183537 ideals in 4 passes Sun Aug 3 20:41:21 2008 max relations containing the same ideal: 20 Sun Aug 3 20:46:30 2008 removing 1195350 relations and 795350 ideals in 400000 cliques Sun Aug 3 20:46:38 2008 commencing in-memory singleton removal Sun Aug 3 20:47:44 2008 begin with 146035559 relations and 91183537 unique ideals Sun Aug 3 20:53:12 2008 reduce to 146030718 relations and 90383331 ideals in 4 passes Sun Aug 3 20:53:12 2008 max relations containing the same ideal: 20 Sun Aug 3 20:58:36 2008 removing 1156097 relations and 756097 ideals in 400000 cliques Sun Aug 3 20:58:44 2008 commencing in-memory singleton removal Sun Aug 3 20:59:48 2008 begin with 144874621 relations and 90383331 unique ideals Sun Aug 3 21:05:09 2008 reduce to 144868359 relations and 89620952 ideals in 4 passes Sun Aug 3 21:05:09 2008 max relations containing the same ideal: 20 Sun Aug 3 21:10:19 2008 removing 1199616 relations and 799616 ideals in 400000 cliques Sun Aug 3 21:10:29 2008 commencing in-memory singleton removal Sun Aug 3 21:11:28 2008 begin with 143668743 relations and 89620952 unique ideals Sun Aug 3 21:16:46 2008 reduce to 143663811 relations and 88816380 ideals in 4 passes Sun Aug 3 21:16:46 2008 max relations containing the same ideal: 20 Sun Aug 3 21:21:57 2008 removing 1171819 relations and 771819 ideals in 400000 cliques Sun Aug 3 21:22:04 2008 commencing in-memory singleton removal Sun Aug 3 21:23:07 2008 begin with 142491992 relations and 88816380 unique ideals Sun Aug 3 21:28:18 2008 reduce to 142486348 relations and 88038897 ideals in 4 passes Sun Aug 3 21:28:18 2008 max relations containing the same ideal: 20 Sun Aug 3 21:33:24 2008 removing 1165584 relations and 765584 ideals in 400000 cliques Sun Aug 3 21:33:32 2008 commencing in-memory singleton removal Sun Aug 3 21:34:33 2008 begin with 141320764 relations and 88038897 unique ideals Sun Aug 3 21:39:46 2008 reduce to 141314767 relations and 87267282 ideals in 4 passes Sun Aug 3 21:39:46 2008 max relations containing the same ideal: 20 Sun Aug 3 21:44:43 2008 removing 1153748 relations and 753748 ideals in 400000 cliques Sun Aug 3 21:44:50 2008 commencing in-memory singleton removal Sun Aug 3 21:45:51 2008 begin with 140161019 relations and 87267282 unique ideals Sun Aug 3 21:50:59 2008 reduce to 140154722 relations and 86507212 ideals in 4 passes Sun Aug 3 21:50:59 2008 max relations containing the same ideal: 20 Sun Aug 3 21:56:01 2008 removing 1149758 relations and 749758 ideals in 400000 cliques Sun Aug 3 21:56:09 2008 commencing in-memory singleton removal Sun Aug 3 21:57:09 2008 begin with 139004964 relations and 86507212 unique ideals Sun Aug 3 22:02:11 2008 reduce to 138998220 relations and 85750679 ideals in 4 passes Sun Aug 3 22:02:11 2008 max relations containing the same ideal: 20 Sun Aug 3 22:07:13 2008 removing 1133682 relations and 733682 ideals in 400000 cliques Sun Aug 3 22:07:26 2008 commencing in-memory singleton removal Sun Aug 3 22:08:25 2008 begin with 137864538 relations and 85750679 unique ideals Sun Aug 3 22:13:24 2008 reduce to 137857129 relations and 85009550 ideals in 4 passes Sun Aug 3 22:13:24 2008 max relations containing the same ideal: 20 Sun Aug 3 22:18:11 2008 removing 1113215 relations and 713215 ideals in 400000 cliques Sun Aug 3 22:18:21 2008 commencing in-memory singleton removal Sun Aug 3 22:19:18 2008 begin with 136743914 relations and 85009550 unique ideals Sun Aug 3 22:24:10 2008 reduce to 136735604 relations and 84287977 ideals in 4 passes Sun Aug 3 22:24:10 2008 max relations containing the same ideal: 20 Sun Aug 3 22:28:59 2008 removing 1097990 relations and 697990 ideals in 400000 cliques Sun Aug 3 22:29:10 2008 commencing in-memory singleton removal Sun Aug 3 22:30:09 2008 begin with 135637614 relations and 84287977 unique ideals Sun Aug 3 22:35:12 2008 reduce to 135628451 relations and 83580769 ideals in 4 passes Sun Aug 3 22:35:12 2008 max relations containing the same ideal: 20 Sun Aug 3 22:40:06 2008 removing 1167583 relations and 767583 ideals in 400000 cliques Sun Aug 3 22:40:15 2008 commencing in-memory singleton removal Sun Aug 3 22:41:11 2008 begin with 134460868 relations and 83580769 unique ideals Sun Aug 3 22:46:01 2008 reduce to 134455360 relations and 82807629 ideals in 4 passes Sun Aug 3 22:46:01 2008 max relations containing the same ideal: 20 Sun Aug 3 22:50:37 2008 removing 1123407 relations and 723407 ideals in 400000 cliques Sun Aug 3 22:50:45 2008 commencing in-memory singleton removal Sun Aug 3 22:51:38 2008 begin with 133331953 relations and 82807629 unique ideals Sun Aug 3 22:56:31 2008 reduce to 133326650 relations and 82078872 ideals in 4 passes Sun Aug 3 22:56:31 2008 max relations containing the same ideal: 20 Sun Aug 3 23:01:05 2008 removing 1101306 relations and 701306 ideals in 400000 cliques Sun Aug 3 23:01:15 2008 commencing in-memory singleton removal Sun Aug 3 23:02:11 2008 begin with 132225344 relations and 82078872 unique ideals Sun Aug 3 23:06:52 2008 reduce to 132219590 relations and 81371774 ideals in 4 passes Sun Aug 3 23:06:52 2008 max relations containing the same ideal: 20 Sun Aug 3 23:11:18 2008 removing 1056717 relations and 656717 ideals in 400000 cliques Sun Aug 3 23:11:26 2008 commencing in-memory singleton removal Sun Aug 3 23:12:18 2008 begin with 131162873 relations and 81371774 unique ideals Sun Aug 3 23:15:43 2008 reduce to 131155536 relations and 80707662 ideals in 3 passes Sun Aug 3 23:15:43 2008 max relations containing the same ideal: 20 Sun Aug 3 23:20:10 2008 removing 1134423 relations and 734423 ideals in 400000 cliques Sun Aug 3 23:20:18 2008 commencing in-memory singleton removal Sun Aug 3 23:21:12 2008 begin with 130021113 relations and 80707662 unique ideals Sun Aug 3 23:24:39 2008 reduce to 130015523 relations and 79967603 ideals in 3 passes Sun Aug 3 23:24:39 2008 max relations containing the same ideal: 20 Sun Aug 3 23:29:10 2008 removing 1092979 relations and 692979 ideals in 400000 cliques Sun Aug 3 23:29:19 2008 commencing in-memory singleton removal Sun Aug 3 23:30:09 2008 begin with 128922544 relations and 79967603 unique ideals Sun Aug 3 23:34:48 2008 reduce to 128916950 relations and 79268983 ideals in 4 passes Sun Aug 3 23:34:48 2008 max relations containing the same ideal: 20 Sun Aug 3 23:39:11 2008 removing 1070497 relations and 670497 ideals in 400000 cliques Sun Aug 3 23:39:19 2008 commencing in-memory singleton removal Sun Aug 3 23:40:15 2008 begin with 127846453 relations and 79268983 unique ideals Sun Aug 3 23:44:43 2008 reduce to 127839976 relations and 78591961 ideals in 4 passes Sun Aug 3 23:44:43 2008 max relations containing the same ideal: 20 Sun Aug 3 23:49:16 2008 removing 1094754 relations and 694754 ideals in 400000 cliques Sun Aug 3 23:49:23 2008 commencing in-memory singleton removal Sun Aug 3 23:50:15 2008 begin with 126745222 relations and 78591961 unique ideals Sun Aug 3 23:54:41 2008 reduce to 126739415 relations and 77891369 ideals in 4 passes Sun Aug 3 23:54:41 2008 max relations containing the same ideal: 20 Sun Aug 3 23:59:06 2008 removing 1069519 relations and 669519 ideals in 400000 cliques Sun Aug 3 23:59:13 2008 commencing in-memory singleton removal Mon Aug 4 00:00:03 2008 begin with 125669896 relations and 77891369 unique ideals Mon Aug 4 00:04:24 2008 reduce to 125663354 relations and 77215269 ideals in 4 passes Mon Aug 4 00:04:24 2008 max relations containing the same ideal: 20 Mon Aug 4 00:08:35 2008 removing 1067710 relations and 667710 ideals in 400000 cliques Mon Aug 4 00:08:42 2008 commencing in-memory singleton removal Mon Aug 4 00:09:32 2008 begin with 124595644 relations and 77215269 unique ideals Mon Aug 4 00:14:56 2008 reduce to 124588780 relations and 76540654 ideals in 5 passes Mon Aug 4 00:14:56 2008 max relations containing the same ideal: 20 Mon Aug 4 00:19:04 2008 removing 1073003 relations and 673003 ideals in 400000 cliques Mon Aug 4 00:19:15 2008 commencing in-memory singleton removal Mon Aug 4 00:20:06 2008 begin with 123515777 relations and 76540654 unique ideals Mon Aug 4 00:24:18 2008 reduce to 123509048 relations and 75860882 ideals in 4 passes Mon Aug 4 00:24:18 2008 max relations containing the same ideal: 20 Mon Aug 4 00:28:19 2008 removing 1053415 relations and 653415 ideals in 400000 cliques Mon Aug 4 00:28:26 2008 commencing in-memory singleton removal Mon Aug 4 00:29:13 2008 begin with 122455633 relations and 75860882 unique ideals Mon Aug 4 00:33:21 2008 reduce to 122448274 relations and 75200061 ideals in 4 passes Mon Aug 4 00:33:21 2008 max relations containing the same ideal: 20 Mon Aug 4 00:37:30 2008 removing 1050346 relations and 650346 ideals in 400000 cliques Mon Aug 4 00:37:38 2008 commencing in-memory singleton removal Mon Aug 4 00:38:25 2008 begin with 121397928 relations and 75200061 unique ideals Mon Aug 4 00:42:39 2008 reduce to 121390190 relations and 74541921 ideals in 4 passes Mon Aug 4 00:42:39 2008 max relations containing the same ideal: 20 Mon Aug 4 00:46:42 2008 removing 1047070 relations and 647070 ideals in 400000 cliques Mon Aug 4 00:46:49 2008 commencing in-memory singleton removal Mon Aug 4 00:47:37 2008 begin with 120343120 relations and 74541921 unique ideals Mon Aug 4 00:51:45 2008 reduce to 120335355 relations and 73887035 ideals in 4 passes Mon Aug 4 00:51:45 2008 max relations containing the same ideal: 20 Mon Aug 4 00:55:48 2008 removing 1039584 relations and 639584 ideals in 400000 cliques Mon Aug 4 00:55:55 2008 commencing in-memory singleton removal Mon Aug 4 00:56:42 2008 begin with 119295771 relations and 73887035 unique ideals Mon Aug 4 01:00:49 2008 reduce to 119287453 relations and 73239083 ideals in 4 passes Mon Aug 4 01:00:49 2008 max relations containing the same ideal: 20 Mon Aug 4 01:04:49 2008 removing 1100836 relations and 700836 ideals in 400000 cliques Mon Aug 4 01:04:55 2008 commencing in-memory singleton removal Mon Aug 4 01:05:43 2008 begin with 118186617 relations and 73239083 unique ideals Mon Aug 4 01:09:45 2008 reduce to 118180713 relations and 72532294 ideals in 4 passes Mon Aug 4 01:09:45 2008 max relations containing the same ideal: 20 Mon Aug 4 01:13:41 2008 removing 1065343 relations and 665343 ideals in 400000 cliques Mon Aug 4 01:13:48 2008 commencing in-memory singleton removal Mon Aug 4 01:14:32 2008 begin with 117115370 relations and 72532294 unique ideals Mon Aug 4 01:18:44 2008 reduce to 117109672 relations and 71861220 ideals in 4 passes Mon Aug 4 01:18:44 2008 max relations containing the same ideal: 20 Mon Aug 4 01:22:44 2008 removing 1049454 relations and 649454 ideals in 400000 cliques Mon Aug 4 01:22:54 2008 commencing in-memory singleton removal Mon Aug 4 01:23:37 2008 begin with 116060218 relations and 71861220 unique ideals Mon Aug 4 01:26:37 2008 reduce to 116053961 relations and 71205473 ideals in 3 passes Mon Aug 4 01:26:37 2008 max relations containing the same ideal: 20 Mon Aug 4 01:30:29 2008 removing 1062411 relations and 662411 ideals in 400000 cliques Mon Aug 4 01:30:37 2008 commencing in-memory singleton removal Mon Aug 4 01:31:25 2008 begin with 114991550 relations and 71205473 unique ideals Mon Aug 4 01:34:21 2008 reduce to 114985121 relations and 70536596 ideals in 3 passes Mon Aug 4 01:34:21 2008 max relations containing the same ideal: 20 Mon Aug 4 01:38:16 2008 removing 1045185 relations and 645185 ideals in 400000 cliques Mon Aug 4 01:38:24 2008 commencing in-memory singleton removal Mon Aug 4 01:39:09 2008 begin with 113939936 relations and 70536596 unique ideals Mon Aug 4 01:42:58 2008 reduce to 113933149 relations and 69884568 ideals in 4 passes Mon Aug 4 01:42:58 2008 max relations containing the same ideal: 20 Mon Aug 4 01:46:52 2008 removing 1041435 relations and 641435 ideals in 400000 cliques Mon Aug 4 01:47:00 2008 commencing in-memory singleton removal Mon Aug 4 01:47:45 2008 begin with 112891714 relations and 69884568 unique ideals Mon Aug 4 01:51:34 2008 reduce to 112884353 relations and 69235705 ideals in 4 passes Mon Aug 4 01:51:34 2008 max relations containing the same ideal: 20 Mon Aug 4 01:55:18 2008 removing 1044965 relations and 644965 ideals in 400000 cliques Mon Aug 4 01:55:27 2008 commencing in-memory singleton removal Mon Aug 4 01:56:13 2008 begin with 111839388 relations and 69235705 unique ideals Mon Aug 4 02:00:09 2008 reduce to 111831780 relations and 68583063 ideals in 4 passes Mon Aug 4 02:00:09 2008 max relations containing the same ideal: 20 Mon Aug 4 02:03:57 2008 removing 1029761 relations and 629761 ideals in 400000 cliques Mon Aug 4 02:04:08 2008 commencing in-memory singleton removal Mon Aug 4 02:04:51 2008 begin with 110802019 relations and 68583063 unique ideals Mon Aug 4 02:08:34 2008 reduce to 110793877 relations and 67945067 ideals in 4 passes Mon Aug 4 02:08:34 2008 max relations containing the same ideal: 20 Mon Aug 4 02:12:19 2008 removing 1028964 relations and 628964 ideals in 400000 cliques Mon Aug 4 02:12:26 2008 commencing in-memory singleton removal Mon Aug 4 02:13:07 2008 begin with 109764913 relations and 67945067 unique ideals Mon Aug 4 02:16:51 2008 reduce to 109756454 relations and 67307571 ideals in 4 passes Mon Aug 4 02:16:51 2008 max relations containing the same ideal: 20 Mon Aug 4 02:20:30 2008 removing 1020403 relations and 620403 ideals in 400000 cliques Mon Aug 4 02:20:36 2008 commencing in-memory singleton removal Mon Aug 4 02:21:20 2008 begin with 108736051 relations and 67307571 unique ideals Mon Aug 4 02:24:57 2008 reduce to 108726752 relations and 66677749 ideals in 4 passes Mon Aug 4 02:24:57 2008 max relations containing the same ideal: 20 Mon Aug 4 02:28:35 2008 removing 1038168 relations and 638168 ideals in 400000 cliques Mon Aug 4 02:28:40 2008 commencing in-memory singleton removal Mon Aug 4 02:29:20 2008 begin with 107688584 relations and 66677749 unique ideals Mon Aug 4 02:32:58 2008 reduce to 107679428 relations and 66030297 ideals in 4 passes Mon Aug 4 02:32:58 2008 max relations containing the same ideal: 20 Mon Aug 4 02:36:26 2008 removing 1044918 relations and 644918 ideals in 400000 cliques Mon Aug 4 02:36:32 2008 commencing in-memory singleton removal Mon Aug 4 02:37:12 2008 begin with 106634510 relations and 66030297 unique ideals Mon Aug 4 02:40:39 2008 reduce to 106625895 relations and 65376653 ideals in 4 passes Mon Aug 4 02:40:39 2008 max relations containing the same ideal: 20 Mon Aug 4 02:44:00 2008 removing 1027672 relations and 627672 ideals in 400000 cliques Mon Aug 4 02:44:11 2008 commencing in-memory singleton removal Mon Aug 4 02:44:49 2008 begin with 105598223 relations and 65376653 unique ideals Mon Aug 4 02:48:16 2008 reduce to 105589263 relations and 64739918 ideals in 4 passes Mon Aug 4 02:48:16 2008 max relations containing the same ideal: 20 Mon Aug 4 02:51:48 2008 removing 1033481 relations and 633481 ideals in 400000 cliques Mon Aug 4 02:51:55 2008 commencing in-memory singleton removal Mon Aug 4 02:52:36 2008 begin with 104555782 relations and 64739918 unique ideals Mon Aug 4 02:56:03 2008 reduce to 104546375 relations and 64096915 ideals in 4 passes Mon Aug 4 02:56:03 2008 max relations containing the same ideal: 20 Mon Aug 4 02:59:19 2008 removing 1025779 relations and 625779 ideals in 400000 cliques Mon Aug 4 02:59:25 2008 commencing in-memory singleton removal Mon Aug 4 03:00:06 2008 begin with 103520596 relations and 64096915 unique ideals Mon Aug 4 03:03:26 2008 reduce to 103510766 relations and 63461188 ideals in 4 passes Mon Aug 4 03:03:26 2008 max relations containing the same ideal: 20 Mon Aug 4 03:06:42 2008 removing 1019350 relations and 619350 ideals in 400000 cliques Mon Aug 4 03:06:52 2008 commencing in-memory singleton removal Mon Aug 4 03:07:29 2008 begin with 102491416 relations and 63461188 unique ideals Mon Aug 4 03:10:49 2008 reduce to 102481258 relations and 62831544 ideals in 4 passes Mon Aug 4 03:10:49 2008 max relations containing the same ideal: 20 Mon Aug 4 03:14:04 2008 removing 1015543 relations and 615543 ideals in 400000 cliques Mon Aug 4 03:14:13 2008 commencing in-memory singleton removal Mon Aug 4 03:14:51 2008 begin with 101465715 relations and 62831544 unique ideals Mon Aug 4 03:18:06 2008 reduce to 101455140 relations and 62205278 ideals in 4 passes Mon Aug 4 03:18:06 2008 max relations containing the same ideal: 20 Mon Aug 4 03:21:18 2008 removing 1013251 relations and 613251 ideals in 400000 cliques Mon Aug 4 03:21:23 2008 commencing in-memory singleton removal Mon Aug 4 03:22:01 2008 begin with 100441889 relations and 62205278 unique ideals Mon Aug 4 03:25:14 2008 reduce to 100430774 relations and 61580729 ideals in 4 passes Mon Aug 4 03:25:14 2008 max relations containing the same ideal: 20 Mon Aug 4 03:28:20 2008 removing 1007206 relations and 607206 ideals in 400000 cliques Mon Aug 4 03:28:26 2008 commencing in-memory singleton removal Mon Aug 4 03:29:04 2008 begin with 99423568 relations and 61580729 unique ideals Mon Aug 4 03:32:13 2008 reduce to 99412102 relations and 60961862 ideals in 4 passes Mon Aug 4 03:32:13 2008 max relations containing the same ideal: 20 Mon Aug 4 03:35:20 2008 removing 1030002 relations and 630002 ideals in 400000 cliques Mon Aug 4 03:35:25 2008 commencing in-memory singleton removal Mon Aug 4 03:36:01 2008 begin with 98382100 relations and 60961862 unique ideals Mon Aug 4 03:38:22 2008 reduce to 98370752 relations and 60320308 ideals in 3 passes Mon Aug 4 03:38:22 2008 max relations containing the same ideal: 20 Mon Aug 4 03:41:26 2008 removing 1009921 relations and 609921 ideals in 400000 cliques Mon Aug 4 03:41:32 2008 commencing in-memory singleton removal Mon Aug 4 03:42:07 2008 begin with 97360831 relations and 60320308 unique ideals Mon Aug 4 03:45:13 2008 reduce to 97349464 relations and 59698809 ideals in 4 passes Mon Aug 4 03:45:13 2008 max relations containing the same ideal: 20 Mon Aug 4 03:48:17 2008 removing 1014825 relations and 614825 ideals in 400000 cliques Mon Aug 4 03:48:22 2008 commencing in-memory singleton removal Mon Aug 4 03:48:57 2008 begin with 96334639 relations and 59698809 unique ideals Mon Aug 4 03:51:58 2008 reduce to 96322804 relations and 59071935 ideals in 4 passes Mon Aug 4 03:51:58 2008 max relations containing the same ideal: 20 Mon Aug 4 03:54:58 2008 removing 1008882 relations and 608882 ideals in 400000 cliques Mon Aug 4 03:55:04 2008 commencing in-memory singleton removal Mon Aug 4 03:55:39 2008 begin with 95313922 relations and 59071935 unique ideals Mon Aug 4 03:58:38 2008 reduce to 95301871 relations and 58450782 ideals in 4 passes Mon Aug 4 03:58:38 2008 max relations containing the same ideal: 20 Mon Aug 4 04:01:36 2008 removing 1005305 relations and 605305 ideals in 400000 cliques Mon Aug 4 04:01:42 2008 commencing in-memory singleton removal Mon Aug 4 04:02:15 2008 begin with 94296566 relations and 58450782 unique ideals Mon Aug 4 04:05:20 2008 reduce to 94283782 relations and 57832471 ideals in 4 passes Mon Aug 4 04:05:20 2008 max relations containing the same ideal: 20 Mon Aug 4 04:08:20 2008 removing 1002382 relations and 602382 ideals in 400000 cliques Mon Aug 4 04:08:24 2008 commencing in-memory singleton removal Mon Aug 4 04:08:59 2008 begin with 93281400 relations and 57832471 unique ideals Mon Aug 4 04:11:54 2008 reduce to 93268097 relations and 57216543 ideals in 4 passes Mon Aug 4 04:11:54 2008 max relations containing the same ideal: 20 Mon Aug 4 04:14:51 2008 removing 998673 relations and 598673 ideals in 400000 cliques Mon Aug 4 04:14:56 2008 commencing in-memory singleton removal Mon Aug 4 04:15:31 2008 begin with 92269424 relations and 57216543 unique ideals Mon Aug 4 04:18:25 2008 reduce to 92255576 relations and 56603748 ideals in 4 passes Mon Aug 4 04:18:25 2008 max relations containing the same ideal: 20 Mon Aug 4 04:21:19 2008 removing 1003514 relations and 603514 ideals in 400000 cliques Mon Aug 4 04:21:24 2008 commencing in-memory singleton removal Mon Aug 4 04:21:58 2008 begin with 91252062 relations and 56603748 unique ideals Mon Aug 4 04:24:48 2008 reduce to 91238262 relations and 55986177 ideals in 4 passes Mon Aug 4 04:24:48 2008 max relations containing the same ideal: 20 Mon Aug 4 04:27:37 2008 removing 1002409 relations and 602409 ideals in 400000 cliques Mon Aug 4 04:27:43 2008 commencing in-memory singleton removal Mon Aug 4 04:28:15 2008 begin with 90235853 relations and 55986177 unique ideals Mon Aug 4 04:31:03 2008 reduce to 90221739 relations and 55369352 ideals in 4 passes Mon Aug 4 04:31:03 2008 max relations containing the same ideal: 20 Mon Aug 4 04:33:50 2008 removing 999699 relations and 599699 ideals in 400000 cliques Mon Aug 4 04:33:54 2008 commencing in-memory singleton removal Mon Aug 4 04:34:27 2008 begin with 89222040 relations and 55369352 unique ideals Mon Aug 4 04:37:14 2008 reduce to 89207871 relations and 54755177 ideals in 4 passes Mon Aug 4 04:37:14 2008 max relations containing the same ideal: 20 Mon Aug 4 04:39:59 2008 removing 997832 relations and 597832 ideals in 400000 cliques Mon Aug 4 04:40:06 2008 commencing in-memory singleton removal Mon Aug 4 04:40:36 2008 begin with 88210039 relations and 54755177 unique ideals Mon Aug 4 04:43:21 2008 reduce to 88195545 relations and 54142551 ideals in 4 passes Mon Aug 4 04:43:21 2008 max relations containing the same ideal: 20 Mon Aug 4 04:46:04 2008 removing 995029 relations and 595029 ideals in 400000 cliques Mon Aug 4 04:46:09 2008 commencing in-memory singleton removal Mon Aug 4 04:46:40 2008 begin with 87200516 relations and 54142551 unique ideals Mon Aug 4 04:49:22 2008 reduce to 87185606 relations and 53532268 ideals in 4 passes Mon Aug 4 04:49:22 2008 max relations containing the same ideal: 20 Mon Aug 4 04:52:00 2008 removing 991339 relations and 591339 ideals in 400000 cliques Mon Aug 4 04:52:08 2008 commencing in-memory singleton removal Mon Aug 4 04:52:37 2008 begin with 86194267 relations and 53532268 unique ideals Mon Aug 4 04:55:17 2008 reduce to 86178654 relations and 52924961 ideals in 4 passes Mon Aug 4 04:55:17 2008 max relations containing the same ideal: 20 Mon Aug 4 04:57:55 2008 removing 991996 relations and 591996 ideals in 400000 cliques Mon Aug 4 04:58:00 2008 commencing in-memory singleton removal Mon Aug 4 04:58:30 2008 begin with 85186658 relations and 52924961 unique ideals Mon Aug 4 05:01:10 2008 reduce to 85170859 relations and 52316807 ideals in 4 passes Mon Aug 4 05:01:10 2008 max relations containing the same ideal: 20 Mon Aug 4 05:03:49 2008 removing 993531 relations and 593531 ideals in 400000 cliques Mon Aug 4 05:03:53 2008 commencing in-memory singleton removal Mon Aug 4 05:04:22 2008 begin with 84177328 relations and 52316807 unique ideals Mon Aug 4 05:06:59 2008 reduce to 84161183 relations and 51706736 ideals in 4 passes Mon Aug 4 05:06:59 2008 max relations containing the same ideal: 20 Mon Aug 4 05:09:35 2008 removing 990704 relations and 590704 ideals in 400000 cliques Mon Aug 4 05:09:40 2008 commencing in-memory singleton removal Mon Aug 4 05:10:09 2008 begin with 83170479 relations and 51706736 unique ideals Mon Aug 4 05:12:54 2008 reduce to 83153938 relations and 51099069 ideals in 4 passes Mon Aug 4 05:12:54 2008 max relations containing the same ideal: 20 Mon Aug 4 05:15:32 2008 removing 989454 relations and 589454 ideals in 400000 cliques Mon Aug 4 05:15:38 2008 commencing in-memory singleton removal Mon Aug 4 05:16:08 2008 begin with 82164484 relations and 51099069 unique ideals Mon Aug 4 05:18:41 2008 reduce to 82147781 relations and 50492472 ideals in 4 passes Mon Aug 4 05:18:41 2008 max relations containing the same ideal: 20 Mon Aug 4 05:21:16 2008 removing 986352 relations and 586352 ideals in 400000 cliques Mon Aug 4 05:21:22 2008 commencing in-memory singleton removal Mon Aug 4 05:21:50 2008 begin with 81161429 relations and 50492472 unique ideals Mon Aug 4 05:24:19 2008 reduce to 81144566 relations and 49888855 ideals in 4 passes Mon Aug 4 05:24:19 2008 max relations containing the same ideal: 20 Mon Aug 4 05:26:57 2008 removing 986935 relations and 586935 ideals in 400000 cliques Mon Aug 4 05:27:04 2008 commencing in-memory singleton removal Mon Aug 4 05:27:32 2008 begin with 80157631 relations and 49888855 unique ideals Mon Aug 4 05:30:04 2008 reduce to 80139803 relations and 49283658 ideals in 4 passes Mon Aug 4 05:30:04 2008 max relations containing the same ideal: 20 Mon Aug 4 05:32:35 2008 removing 988674 relations and 588674 ideals in 400000 cliques Mon Aug 4 05:32:40 2008 commencing in-memory singleton removal Mon Aug 4 05:33:08 2008 begin with 79151129 relations and 49283658 unique ideals Mon Aug 4 05:35:34 2008 reduce to 79133337 relations and 48676718 ideals in 4 passes Mon Aug 4 05:35:34 2008 max relations containing the same ideal: 20 Mon Aug 4 05:38:00 2008 removing 984819 relations and 584819 ideals in 400000 cliques Mon Aug 4 05:38:06 2008 commencing in-memory singleton removal Mon Aug 4 05:38:35 2008 begin with 78148518 relations and 48676718 unique ideals Mon Aug 4 05:41:06 2008 reduce to 78130656 relations and 48073564 ideals in 4 passes Mon Aug 4 05:41:06 2008 max relations containing the same ideal: 20 Mon Aug 4 05:43:34 2008 removing 984813 relations and 584813 ideals in 400000 cliques Mon Aug 4 05:43:39 2008 commencing in-memory singleton removal Mon Aug 4 05:44:08 2008 begin with 77145843 relations and 48073564 unique ideals Mon Aug 4 05:46:29 2008 reduce to 77127440 relations and 47469870 ideals in 4 passes Mon Aug 4 05:46:29 2008 max relations containing the same ideal: 20 Mon Aug 4 05:48:50 2008 removing 984278 relations and 584278 ideals in 400000 cliques Mon Aug 4 05:48:56 2008 commencing in-memory singleton removal Mon Aug 4 05:49:24 2008 begin with 76143162 relations and 47469870 unique ideals Mon Aug 4 05:51:47 2008 reduce to 76124255 relations and 46866162 ideals in 4 passes Mon Aug 4 05:51:47 2008 max relations containing the same ideal: 20 Mon Aug 4 05:54:12 2008 removing 983619 relations and 583619 ideals in 400000 cliques Mon Aug 4 05:54:16 2008 commencing in-memory singleton removal Mon Aug 4 05:54:44 2008 begin with 75140636 relations and 46866162 unique ideals Mon Aug 4 05:57:04 2008 reduce to 75121691 relations and 46263042 ideals in 4 passes Mon Aug 4 05:57:04 2008 max relations containing the same ideal: 20 Mon Aug 4 05:59:22 2008 removing 984271 relations and 584271 ideals in 400000 cliques Mon Aug 4 05:59:26 2008 commencing in-memory singleton removal Mon Aug 4 05:59:53 2008 begin with 74137420 relations and 46263042 unique ideals Mon Aug 4 06:02:08 2008 reduce to 74117947 relations and 45658740 ideals in 4 passes Mon Aug 4 06:02:08 2008 max relations containing the same ideal: 20 Mon Aug 4 06:04:28 2008 removing 983281 relations and 583281 ideals in 400000 cliques Mon Aug 4 06:04:32 2008 commencing in-memory singleton removal Mon Aug 4 06:04:57 2008 begin with 73134666 relations and 45658740 unique ideals Mon Aug 4 06:07:13 2008 reduce to 73115051 relations and 45055252 ideals in 4 passes Mon Aug 4 06:07:13 2008 max relations containing the same ideal: 20 Mon Aug 4 06:09:29 2008 removing 983659 relations and 583659 ideals in 400000 cliques Mon Aug 4 06:09:35 2008 commencing in-memory singleton removal Mon Aug 4 06:09:59 2008 begin with 72131392 relations and 45055252 unique ideals Mon Aug 4 06:12:12 2008 reduce to 72111328 relations and 44450921 ideals in 4 passes Mon Aug 4 06:12:12 2008 max relations containing the same ideal: 19 Mon Aug 4 06:14:28 2008 removing 982903 relations and 582903 ideals in 400000 cliques Mon Aug 4 06:14:32 2008 commencing in-memory singleton removal Mon Aug 4 06:14:59 2008 begin with 71128425 relations and 44450921 unique ideals Mon Aug 4 06:17:09 2008 reduce to 71107990 relations and 43847038 ideals in 4 passes Mon Aug 4 06:17:09 2008 max relations containing the same ideal: 19 Mon Aug 4 06:19:20 2008 removing 982704 relations and 582704 ideals in 400000 cliques Mon Aug 4 06:19:25 2008 commencing in-memory singleton removal Mon Aug 4 06:19:51 2008 begin with 70125286 relations and 43847038 unique ideals Mon Aug 4 06:22:01 2008 reduce to 70104569 relations and 43243016 ideals in 4 passes Mon Aug 4 06:22:01 2008 max relations containing the same ideal: 19 Mon Aug 4 06:24:12 2008 removing 983619 relations and 583619 ideals in 400000 cliques Mon Aug 4 06:24:18 2008 commencing in-memory singleton removal Mon Aug 4 06:24:41 2008 begin with 69120950 relations and 43243016 unique ideals Mon Aug 4 06:26:49 2008 reduce to 69100198 relations and 42638019 ideals in 4 passes Mon Aug 4 06:26:49 2008 max relations containing the same ideal: 19 Mon Aug 4 06:28:58 2008 removing 982979 relations and 582979 ideals in 400000 cliques Mon Aug 4 06:29:02 2008 commencing in-memory singleton removal Mon Aug 4 06:29:26 2008 begin with 68117219 relations and 42638019 unique ideals Mon Aug 4 06:31:30 2008 reduce to 68095674 relations and 42032879 ideals in 4 passes Mon Aug 4 06:31:30 2008 max relations containing the same ideal: 19 Mon Aug 4 06:33:39 2008 removing 984704 relations and 584704 ideals in 400000 cliques Mon Aug 4 06:33:42 2008 commencing in-memory singleton removal Mon Aug 4 06:34:07 2008 begin with 67110970 relations and 42032879 unique ideals Mon Aug 4 06:36:11 2008 reduce to 67089723 relations and 41426300 ideals in 4 passes Mon Aug 4 06:36:11 2008 max relations containing the same ideal: 19 Mon Aug 4 06:38:17 2008 removing 984262 relations and 584262 ideals in 400000 cliques Mon Aug 4 06:38:20 2008 commencing in-memory singleton removal Mon Aug 4 06:38:43 2008 begin with 66105461 relations and 41426300 unique ideals Mon Aug 4 06:40:44 2008 reduce to 66083617 relations and 40819542 ideals in 4 passes Mon Aug 4 06:40:44 2008 max relations containing the same ideal: 19 Mon Aug 4 06:42:47 2008 removing 984925 relations and 584925 ideals in 400000 cliques Mon Aug 4 06:42:50 2008 commencing in-memory singleton removal Mon Aug 4 06:43:14 2008 begin with 65098692 relations and 40819542 unique ideals Mon Aug 4 06:45:13 2008 reduce to 65076890 relations and 40212175 ideals in 4 passes Mon Aug 4 06:45:13 2008 max relations containing the same ideal: 19 Mon Aug 4 06:47:13 2008 removing 986609 relations and 586609 ideals in 400000 cliques Mon Aug 4 06:47:16 2008 commencing in-memory singleton removal Mon Aug 4 06:47:38 2008 begin with 64090281 relations and 40212175 unique ideals Mon Aug 4 06:49:34 2008 reduce to 64068762 relations and 39603387 ideals in 4 passes Mon Aug 4 06:49:34 2008 max relations containing the same ideal: 19 Mon Aug 4 06:51:30 2008 removing 987615 relations and 587615 ideals in 400000 cliques Mon Aug 4 06:51:35 2008 commencing in-memory singleton removal Mon Aug 4 06:51:56 2008 begin with 63081147 relations and 39603387 unique ideals Mon Aug 4 06:53:50 2008 reduce to 63059305 relations and 38993306 ideals in 4 passes Mon Aug 4 06:53:50 2008 max relations containing the same ideal: 19 Mon Aug 4 06:55:41 2008 removing 989306 relations and 589306 ideals in 400000 cliques Mon Aug 4 06:55:45 2008 commencing in-memory singleton removal Mon Aug 4 06:56:04 2008 begin with 62069999 relations and 38993306 unique ideals Mon Aug 4 06:57:54 2008 reduce to 62048209 relations and 38381553 ideals in 4 passes Mon Aug 4 06:57:54 2008 max relations containing the same ideal: 19 Mon Aug 4 06:59:44 2008 removing 990728 relations and 590728 ideals in 400000 cliques Mon Aug 4 06:59:48 2008 commencing in-memory singleton removal Mon Aug 4 07:00:07 2008 begin with 61057481 relations and 38381553 unique ideals Mon Aug 4 07:01:53 2008 reduce to 61035399 relations and 37768125 ideals in 4 passes Mon Aug 4 07:01:53 2008 max relations containing the same ideal: 19 Mon Aug 4 07:03:41 2008 removing 991168 relations and 591168 ideals in 400000 cliques Mon Aug 4 07:03:45 2008 commencing in-memory singleton removal Mon Aug 4 07:04:05 2008 begin with 60044231 relations and 37768125 unique ideals Mon Aug 4 07:06:19 2008 reduce to 60022362 relations and 37154451 ideals in 5 passes Mon Aug 4 07:06:19 2008 max relations containing the same ideal: 19 Mon Aug 4 07:08:08 2008 removing 993948 relations and 593948 ideals in 400000 cliques Mon Aug 4 07:08:11 2008 commencing in-memory singleton removal Mon Aug 4 07:08:30 2008 begin with 59028414 relations and 37154451 unique ideals Mon Aug 4 07:10:13 2008 reduce to 59005979 relations and 36537441 ideals in 4 passes Mon Aug 4 07:10:13 2008 max relations containing the same ideal: 18 Mon Aug 4 07:11:59 2008 removing 994957 relations and 594957 ideals in 400000 cliques Mon Aug 4 07:12:02 2008 commencing in-memory singleton removal Mon Aug 4 07:12:21 2008 begin with 58011022 relations and 36537441 unique ideals Mon Aug 4 07:14:04 2008 reduce to 57988454 relations and 35919281 ideals in 4 passes Mon Aug 4 07:14:04 2008 max relations containing the same ideal: 18 Mon Aug 4 07:15:48 2008 removing 996750 relations and 596750 ideals in 400000 cliques Mon Aug 4 07:15:52 2008 commencing in-memory singleton removal Mon Aug 4 07:16:10 2008 begin with 56991704 relations and 35919281 unique ideals Mon Aug 4 07:17:50 2008 reduce to 56969239 relations and 35299408 ideals in 4 passes Mon Aug 4 07:17:50 2008 max relations containing the same ideal: 18 Mon Aug 4 07:19:27 2008 removing 998607 relations and 598607 ideals in 400000 cliques Mon Aug 4 07:19:31 2008 commencing in-memory singleton removal Mon Aug 4 07:19:49 2008 begin with 55970632 relations and 35299408 unique ideals Mon Aug 4 07:21:24 2008 reduce to 55948065 relations and 34677626 ideals in 4 passes Mon Aug 4 07:21:24 2008 max relations containing the same ideal: 18 Mon Aug 4 07:23:00 2008 removing 1000847 relations and 600847 ideals in 400000 cliques Mon Aug 4 07:23:04 2008 commencing in-memory singleton removal Mon Aug 4 07:23:22 2008 begin with 54947218 relations and 34677626 unique ideals Mon Aug 4 07:24:55 2008 reduce to 54924242 relations and 34053164 ideals in 4 passes Mon Aug 4 07:24:55 2008 max relations containing the same ideal: 18 Mon Aug 4 07:26:32 2008 removing 1003877 relations and 603877 ideals in 400000 cliques Mon Aug 4 07:26:35 2008 commencing in-memory singleton removal Mon Aug 4 07:26:53 2008 begin with 53920365 relations and 34053164 unique ideals Mon Aug 4 07:28:50 2008 reduce to 53897176 relations and 33425507 ideals in 5 passes Mon Aug 4 07:28:50 2008 max relations containing the same ideal: 17 Mon Aug 4 07:30:25 2008 removing 1005105 relations and 605105 ideals in 400000 cliques Mon Aug 4 07:30:29 2008 commencing in-memory singleton removal Mon Aug 4 07:30:46 2008 begin with 52892071 relations and 33425507 unique ideals Mon Aug 4 07:32:14 2008 reduce to 52868933 relations and 32796656 ideals in 4 passes Mon Aug 4 07:32:14 2008 max relations containing the same ideal: 17 Mon Aug 4 07:33:44 2008 removing 1009302 relations and 609302 ideals in 400000 cliques Mon Aug 4 07:33:48 2008 commencing in-memory singleton removal Mon Aug 4 07:34:04 2008 begin with 51859631 relations and 32796656 unique ideals Mon Aug 4 07:35:30 2008 reduce to 51836109 relations and 32163225 ideals in 4 passes Mon Aug 4 07:35:30 2008 max relations containing the same ideal: 17 Mon Aug 4 07:36:58 2008 removing 1011734 relations and 611734 ideals in 400000 cliques Mon Aug 4 07:37:01 2008 commencing in-memory singleton removal Mon Aug 4 07:37:18 2008 begin with 50824375 relations and 32163225 unique ideals Mon Aug 4 07:38:42 2008 reduce to 50801016 relations and 31527528 ideals in 4 passes Mon Aug 4 07:38:42 2008 max relations containing the same ideal: 17 Mon Aug 4 07:40:09 2008 removing 1015471 relations and 615471 ideals in 400000 cliques Mon Aug 4 07:40:11 2008 commencing in-memory singleton removal Mon Aug 4 07:40:27 2008 begin with 49785545 relations and 31527528 unique ideals Mon Aug 4 07:42:10 2008 reduce to 49761833 relations and 30887715 ideals in 5 passes Mon Aug 4 07:42:10 2008 max relations containing the same ideal: 17 Mon Aug 4 07:43:38 2008 removing 1018813 relations and 618813 ideals in 400000 cliques Mon Aug 4 07:43:40 2008 commencing in-memory singleton removal Mon Aug 4 07:43:56 2008 begin with 48743020 relations and 30887715 unique ideals Mon Aug 4 07:45:16 2008 reduce to 48719071 relations and 30244358 ideals in 4 passes Mon Aug 4 07:45:16 2008 max relations containing the same ideal: 17 Mon Aug 4 07:46:39 2008 removing 1022094 relations and 622094 ideals in 400000 cliques Mon Aug 4 07:46:41 2008 commencing in-memory singleton removal Mon Aug 4 07:46:57 2008 begin with 47696977 relations and 30244358 unique ideals Mon Aug 4 07:48:15 2008 reduce to 47672875 relations and 29597556 ideals in 4 passes Mon Aug 4 07:48:15 2008 max relations containing the same ideal: 17 Mon Aug 4 07:49:34 2008 removing 1025503 relations and 625503 ideals in 400000 cliques Mon Aug 4 07:49:37 2008 commencing in-memory singleton removal Mon Aug 4 07:49:52 2008 begin with 46647372 relations and 29597556 unique ideals Mon Aug 4 07:51:07 2008 reduce to 46622676 relations and 28946787 ideals in 4 passes Mon Aug 4 07:51:07 2008 max relations containing the same ideal: 17 Mon Aug 4 07:52:27 2008 removing 1030181 relations and 630181 ideals in 400000 cliques Mon Aug 4 07:52:30 2008 commencing in-memory singleton removal Mon Aug 4 07:52:44 2008 begin with 45592495 relations and 28946787 unique ideals Mon Aug 4 07:54:18 2008 reduce to 45567845 relations and 28291392 ideals in 5 passes Mon Aug 4 07:54:18 2008 max relations containing the same ideal: 17 Mon Aug 4 07:55:38 2008 removing 1035313 relations and 635313 ideals in 400000 cliques Mon Aug 4 07:55:40 2008 commencing in-memory singleton removal Mon Aug 4 07:55:53 2008 begin with 44532532 relations and 28291392 unique ideals Mon Aug 4 07:57:06 2008 reduce to 44507284 relations and 27630278 ideals in 4 passes Mon Aug 4 07:57:06 2008 max relations containing the same ideal: 17 Mon Aug 4 07:58:21 2008 removing 1040490 relations and 640490 ideals in 400000 cliques Mon Aug 4 07:58:24 2008 commencing in-memory singleton removal Mon Aug 4 07:58:37 2008 begin with 43466794 relations and 27630278 unique ideals Mon Aug 4 07:59:46 2008 reduce to 43441512 relations and 26963979 ideals in 4 passes Mon Aug 4 07:59:46 2008 max relations containing the same ideal: 17 Mon Aug 4 08:01:03 2008 removing 1047739 relations and 647739 ideals in 400000 cliques Mon Aug 4 08:01:06 2008 commencing in-memory singleton removal Mon Aug 4 08:01:19 2008 begin with 42393773 relations and 26963979 unique ideals Mon Aug 4 08:03:02 2008 reduce to 42368817 relations and 26290724 ideals in 6 passes Mon Aug 4 08:03:02 2008 max relations containing the same ideal: 16 Mon Aug 4 08:04:14 2008 removing 1051479 relations and 651479 ideals in 400000 cliques Mon Aug 4 08:04:17 2008 commencing in-memory singleton removal Mon Aug 4 08:04:28 2008 begin with 41317338 relations and 26290724 unique ideals Mon Aug 4 08:05:32 2008 reduce to 41291223 relations and 25612598 ideals in 4 passes Mon Aug 4 08:05:32 2008 max relations containing the same ideal: 16 Mon Aug 4 08:06:41 2008 removing 1056972 relations and 656972 ideals in 400000 cliques Mon Aug 4 08:06:44 2008 commencing in-memory singleton removal Mon Aug 4 08:06:56 2008 begin with 40234251 relations and 25612598 unique ideals Mon Aug 4 08:08:13 2008 reduce to 40208218 relations and 24929054 ideals in 5 passes Mon Aug 4 08:08:13 2008 max relations containing the same ideal: 16 Mon Aug 4 08:09:20 2008 removing 566538 relations and 385382 ideals in 181156 cliques Mon Aug 4 08:09:23 2008 commencing in-memory singleton removal Mon Aug 4 08:09:35 2008 begin with 39641680 relations and 24929054 unique ideals Mon Aug 4 08:10:34 2008 reduce to 39638429 relations and 24540411 ideals in 4 passes Mon Aug 4 08:10:34 2008 max relations containing the same ideal: 16 Mon Aug 4 08:10:52 2008 relations with 0 large ideals: 2244070 Mon Aug 4 08:10:52 2008 relations with 1 large ideals: 9113263 Mon Aug 4 08:10:52 2008 relations with 2 large ideals: 14232116 Mon Aug 4 08:10:52 2008 relations with 3 large ideals: 10230689 Mon Aug 4 08:10:52 2008 relations with 4 large ideals: 3371892 Mon Aug 4 08:10:52 2008 relations with 5 large ideals: 443896 Mon Aug 4 08:10:52 2008 relations with 6 large ideals: 2492 Mon Aug 4 08:10:52 2008 relations with 7+ large ideals: 11 Mon Aug 4 08:10:52 2008 commencing 2-way merge Mon Aug 4 08:12:15 2008 reduce to 30930147 relation sets and 15832129 unique ideals Mon Aug 4 08:12:15 2008 commencing full merge Mon Aug 4 08:24:37 2008 memory use: 1459.7 MB Mon Aug 4 08:24:39 2008 found 16604123 cycles, need 14522329 Mon Aug 4 08:25:00 2008 weight of 14522329 cycles is about 1016580597 (70.00/cycle) Mon Aug 4 08:25:02 2008 distribution of cycle lengths: Mon Aug 4 08:25:02 2008 1 relations: 2319630 Mon Aug 4 08:25:02 2008 2 relations: 1593362 Mon Aug 4 08:25:02 2008 3 relations: 1723490 Mon Aug 4 08:25:02 2008 4 relations: 1709998 Mon Aug 4 08:25:02 2008 5 relations: 1676615 Mon Aug 4 08:25:02 2008 6 relations: 1528717 Mon Aug 4 08:25:02 2008 7 relations: 1346933 Mon Aug 4 08:25:02 2008 8 relations: 1114852 Mon Aug 4 08:25:02 2008 9 relations: 872463 Mon Aug 4 08:25:02 2008 10+ relations: 636269 Mon Aug 4 08:25:02 2008 heaviest cycle: 12 relations Mon Aug 4 08:25:05 2008 commencing cycle optimization Mon Aug 4 08:27:55 2008 start with 67683128 relations Mon Aug 4 08:35:25 2008 pruned 2581717 relations Mon Aug 4 08:35:28 2008 memory use: 2145.3 MB Mon Aug 4 08:35:28 2008 distribution of cycle lengths: Mon Aug 4 08:35:28 2008 1 relations: 2319630 Mon Aug 4 08:35:28 2008 2 relations: 1648647 Mon Aug 4 08:35:28 2008 3 relations: 1820038 Mon Aug 4 08:35:28 2008 4 relations: 1812574 Mon Aug 4 08:35:28 2008 5 relations: 1804815 Mon Aug 4 08:35:28 2008 6 relations: 1621066 Mon Aug 4 08:35:28 2008 7 relations: 1385795 Mon Aug 4 08:35:28 2008 8 relations: 1049627 Mon Aug 4 08:35:28 2008 9 relations: 698541 Mon Aug 4 08:35:28 2008 10+ relations: 361596 Mon Aug 4 08:35:28 2008 heaviest cycle: 12 relations Mon Aug 4 08:37:06 2008 Mon Aug 4 08:37:33 2008 commencing linear algebra Mon Aug 4 08:37:38 2008 read 14522329 cycles Mon Aug 4 08:45:28 2008 cycles contain 35054514 unique relations Mon Aug 4 08:54:00 2008 read 35054514 relations Mon Aug 4 08:58:49 2008 using 32 quadratic characters above 2147482584 Mon Aug 4 09:07:44 2008 building initial matrix Mon Aug 4 10:00:07 2008 memory use: 4638.0 MB Mon Aug 4 10:00:31 2008 read 14522329 cycles Mon Aug 4 10:00:57 2008 matrix is 14514760 x 14522329 (4236.6 MB) with weight 1307182491 (90.01/col) Mon Aug 4 10:00:57 2008 sparse part has weight 950860152 (65.48/col) Mon Aug 4 10:32:23 2008 filtering completed in 3 passes Mon Aug 4 10:32:35 2008 matrix is 14392425 x 14392625 (4215.0 MB) with weight 1299985665 (90.32/col) Mon Aug 4 10:32:35 2008 sparse part has weight 946613136 (65.77/col) Mon Aug 4 10:37:02 2008 read 14392625 cycles Mon Aug 4 10:37:29 2008 matrix is 14392425 x 14392625 (4215.0 MB) with weight 1299985665 (90.32/col) Mon Aug 4 10:37:29 2008 sparse part has weight 946613136 (65.77/col) Mon Aug 4 10:37:30 2008 saving the first 48 matrix rows for later Mon Aug 4 10:37:52 2008 matrix is 14392377 x 14392625 (4048.1 MB) with weight 998345063 (69.37/col) Mon Aug 4 10:37:53 2008 sparse part has weight 917247856 (63.73/col) Mon Aug 4 10:37:53 2008 matrix includes 64 packed rows Mon Aug 4 10:37:53 2008 using block size 65536 for processor cache size 2048 kB Mon Aug 4 10:40:21 2008 commencing Lanczos iteration (8 threads) Mon Aug 4 10:40:21 2008 memory use: 4754.3 MB Sun Aug 24 15:31:07 2008 lanczos halted after 68566 iterations (dim = 4335744) Sun Aug 24 16:19:36 2008 Sun Aug 24 16:19:36 2008 Sun Aug 24 16:19:36 2008 Msieve v. 1.36 Sun Aug 24 16:19:36 2008 random seeds: aecf2ab7 a7da7d2d Sun Aug 24 16:19:36 2008 factoring 2876206933693651846186421176693069994930455940294865635718788125313286898958051647224194942170380608658912307648377137488409492964786316276475722912667855400278464040857689779918914132775386804282257142820418090896474875573294012992427172761690204461080185405441 (262 digits) Sun Aug 24 16:19:40 2008 no P-1/P+1/ECM available, skipping Sun Aug 24 16:19:40 2008 commencing number field sieve (262-digit input) Sun Aug 24 16:19:40 2008 R0: -37711171281396032013366321198900157303750656 Sun Aug 24 16:19:40 2008 R1: 1 Sun Aug 24 16:19:40 2008 A0: 1 Sun Aug 24 16:19:40 2008 A1: -1 Sun Aug 24 16:19:40 2008 A2: 1 Sun Aug 24 16:19:40 2008 A3: -1 Sun Aug 24 16:19:40 2008 A4: 1 Sun Aug 24 16:19:40 2008 A5: -1 Sun Aug 24 16:19:40 2008 A6: 1 Sun Aug 24 16:19:40 2008 size score = 1.623453e-12, Murphy alpha = 2.427706, combined = 8.113343e-13 Sun Aug 24 16:19:40 2008 Sun Aug 24 16:19:40 2008 commencing linear algebra Sun Aug 24 16:19:44 2008 read 14392625 cycles Sun Aug 24 16:20:01 2008 matrix is 14392425 x 14392625 (4215.0 MB) with weight 1299985665 (90.32/col) Sun Aug 24 16:20:01 2008 sparse part has weight 946613136 (65.77/col) Sun Aug 24 16:20:02 2008 saving the first 48 matrix rows for later Sun Aug 24 16:20:16 2008 matrix is 14392377 x 14392625 (4048.1 MB) with weight 998345063 (69.37/col) Sun Aug 24 16:20:17 2008 sparse part has weight 917247856 (63.73/col) Sun Aug 24 16:20:17 2008 matrix includes 64 packed rows Sun Aug 24 16:20:17 2008 using block size 65536 for processor cache size 2048 kB Sun Aug 24 16:22:22 2008 commencing Lanczos iteration (8 threads) Sun Aug 24 16:22:22 2008 memory use: 4754.3 MB Sun Aug 24 16:22:42 2008 restarting at iteration 68566 (dim = 4335744) Mon Sep 29 09:24:49 2008 lanczos halted after 227615 iterations (dim = 14392367) Mon Sep 29 09:26:19 2008 recovered 45 nontrivial dependencies Mon Sep 29 09:26:20 2008 Mon Sep 29 09:26:20 2008 commencing square root phase Mon Sep 29 09:26:20 2008 reading relations for dependency 1 Mon Sep 29 09:26:31 2008 read 7197266 cycles Mon Sep 29 09:29:38 2008 cycles contain 21801939 unique relations Mon Sep 29 09:39:14 2008 read 21801939 relations Mon Sep 29 09:57:44 2008 multiplying 32434130 relations Stopped to switch to version 1.38 for the square roots. Mon Sep 29 12:22:11 2008 Msieve v. 1.38 Mon Sep 29 12:22:11 2008 random seeds: 4b11ef9d e73aa639 Mon Sep 29 12:22:11 2008 factoring 2876206933693651846186421176693069994930455940294865635718788125313286898958051647224194942170380608658912307648377137488409492964786316276475722912667855400278464040857689779918914132775386804282257142820418090896474875573294012992427172761690204461080185405441 (262 digits) Mon Sep 29 12:22:15 2008 no P-1/P+1/ECM available, skipping Mon Sep 29 12:22:15 2008 commencing number field sieve (262-digit input) Mon Sep 29 12:22:15 2008 R0: -37711171281396032013366321198900157303750656 Mon Sep 29 12:22:15 2008 R1: 1 Mon Sep 29 12:22:15 2008 A0: 1 Mon Sep 29 12:22:15 2008 A1: -1 Mon Sep 29 12:22:15 2008 A2: 1 Mon Sep 29 12:22:15 2008 A3: -1 Mon Sep 29 12:22:15 2008 A4: 1 Mon Sep 29 12:22:15 2008 A5: -1 Mon Sep 29 12:22:15 2008 A6: 1 Mon Sep 29 12:22:15 2008 size score = 1.623453e-12, Murphy alpha = 2.427706, combined = 8.113343e-13 Mon Sep 29 12:22:15 2008 Mon Sep 29 12:22:15 2008 commencing square root phase Mon Sep 29 12:22:15 2008 reading relations for dependency 1 Mon Sep 29 12:22:20 2008 read 7197266 cycles Mon Sep 29 12:25:26 2008 cycles contain 21801939 unique relations Mon Sep 29 12:31:30 2008 read 21801939 relations Mon Sep 29 12:46:20 2008 multiplying 17475546 relations Mon Sep 29 14:27:50 2008 multiply complete, coefficients have about 459.45 million bits Mon Sep 29 14:28:28 2008 initial square root is modulo 175406411 Mon Sep 29 18:23:39 2008 reading relations for dependency 2 Mon Sep 29 18:23:42 2008 read 7195786 cycles Mon Sep 29 18:26:51 2008 cycles contain 21798136 unique relations Mon Sep 29 18:32:51 2008 read 21798136 relations Mon Sep 29 18:47:46 2008 multiplying 17473100 relations Mon Sep 29 20:29:21 2008 multiply complete, coefficients have about 459.38 million bits Mon Sep 29 20:30:01 2008 initial square root is modulo 174912883 Tue Sep 30 00:24:57 2008 reading relations for dependency 3 Tue Sep 30 00:25:01 2008 read 7198471 cycles Tue Sep 30 00:28:14 2008 cycles contain 21806732 unique relations Tue Sep 30 00:34:13 2008 read 21806732 relations Tue Sep 30 00:49:08 2008 multiplying 17479194 relations Tue Sep 30 02:31:48 2008 multiply complete, coefficients have about 459.55 million bits Tue Sep 30 02:32:25 2008 initial square root is modulo 176092297 Tue Sep 30 06:29:14 2008 prp127 factor: 2414363435318175820819331879165116728418519792562706509822994996928341891639539080237249461142305168510310158276424097118459761 Tue Sep 30 06:29:14 2008 prp136 factor: 1191289965553430518865783278991915534276915394598173518948009561675699528159437068633968751093399609415230992345381159209177181637396881 Tue Sep 30 06:29:14 2008 elapsed time 18:07:03 [/CODE] |
A Champion! Congratulations! Most impressive.
|
:ouch2::ouch1: ... soooo many digits... Wow! :tu:
|
Congratulations Bruce & Greg!!!
They just set a new record for largest penultimate factor when
they did 6,392+ Applause. :exclaim::bow: |
[QUOTE=frmky;144170]Below is the log file for the factorization of 6,392+.
[/QUOTE] Congrats, what were the specs of the system you ran that on? |
[QUOTE=Jeff Gilchrist;144315]Congrats, what were the specs of the system you ran that on?[/QUOTE]
The sieving was completed by Bruce Dodson at Lehigh U. He can fill in those details. The linear algebra was run here at Cal State Fullerton on 2 processors (8 cores) of an 8-processor (32-core) Opteron K10 system running at 2 GHz with 64 GB of memory. Greg |
Here's the log for 7,313- factored by Bruce and myself. Only a P84 this time. :smile:
[CODE]Thu Jul 17 19:18:29 2008 Msieve v. 1.36 Thu Jul 17 19:18:29 2008 random seeds: d7761b26 cf008112 Thu Jul 17 19:18:29 2008 factoring 57823107992545343406508802644793776217349991672441101832540692222341223600671977249931864488825675205074867299789740817818906114026443735649106946666018698025924531075083595379471972688621962427375143888479178878248802645000340750466579938610332181 (248 digits) Thu Jul 17 19:18:33 2008 no P-1/P+1/ECM available, skipping Thu Jul 17 19:18:33 2008 commencing number field sieve (248-digit input) Thu Jul 17 19:18:33 2008 R0: -88124787089723195184393736687912818113311201 Thu Jul 17 19:18:33 2008 R1: 1 Thu Jul 17 19:18:33 2008 A0: -1 Thu Jul 17 19:18:33 2008 A1: 0 Thu Jul 17 19:18:33 2008 A2: 0 Thu Jul 17 19:18:33 2008 A3: 0 Thu Jul 17 19:18:33 2008 A4: 0 Thu Jul 17 19:18:33 2008 A5: 0 Thu Jul 17 19:18:33 2008 A6: 7 Thu Jul 17 19:18:33 2008 size score = 1.039841e-12, Murphy alpha = 1.681313, combined = 6.431948e-13 Thu Jul 17 19:22:13 2008 restarting with 202605906 relations Thu Jul 17 19:22:18 2008 added 45933 free relations Thu Jul 17 19:22:18 2008 Thu Jul 17 19:22:18 2008 commencing relation filtering Thu Jul 17 19:22:18 2008 commencing duplicate removal, pass 1 ... errors snipped Thu Jul 17 20:01:30 2008 found 49040277 hash collisions in 202649713 relations Thu Jul 17 20:01:30 2008 commencing duplicate removal, pass 2 Thu Jul 17 21:04:13 2008 found 0 duplicates and 202649713 unique relations Thu Jul 17 21:04:13 2008 memory use: 1911.0 MB Thu Jul 17 21:04:14 2008 ignoring smallest 78498 rational and 78126 algebraic ideals Thu Jul 17 21:04:14 2008 filtering rational ideals above 1000000 Thu Jul 17 21:04:14 2008 filtering algebraic ideals above 1000000 Thu Jul 17 21:04:14 2008 need 234936 more relations than ideals Thu Jul 17 21:04:14 2008 commencing singleton removal, pass 1 Thu Jul 17 21:51:16 2008 relations with 0 large ideals: 6485 Thu Jul 17 21:51:16 2008 relations with 1 large ideals: 24 Thu Jul 17 21:51:16 2008 relations with 2 large ideals: 1526 Thu Jul 17 21:51:16 2008 relations with 3 large ideals: 31059 Thu Jul 17 21:51:16 2008 relations with 4 large ideals: 362760 Thu Jul 17 21:51:16 2008 relations with 5 large ideals: 2551673 Thu Jul 17 21:51:16 2008 relations with 6 large ideals: 11075508 Thu Jul 17 21:51:16 2008 relations with 7+ large ideals: 188620678 Thu Jul 17 21:51:16 2008 202649713 relations and about 99678721 large ideals Thu Jul 17 21:51:16 2008 commencing singleton removal, pass 2 Thu Jul 17 22:37:32 2008 found 12369755 singletons Thu Jul 17 22:37:32 2008 current dataset: 190279958 relations and about 87011961 large ideals Thu Jul 17 22:37:32 2008 commencing singleton removal, pass 3 Thu Jul 17 23:23:16 2008 relations with 0 large ideals: 6485 Thu Jul 17 23:23:16 2008 relations with 1 large ideals: 24 Thu Jul 17 23:23:16 2008 relations with 2 large ideals: 1508 Thu Jul 17 23:23:16 2008 relations with 3 large ideals: 30169 Thu Jul 17 23:23:16 2008 relations with 4 large ideals: 348475 Thu Jul 17 23:23:16 2008 relations with 5 large ideals: 2427224 Thu Jul 17 23:23:16 2008 relations with 6 large ideals: 10462132 Thu Jul 17 23:23:16 2008 relations with 7+ large ideals: 177003941 Thu Jul 17 23:23:16 2008 190279958 relations and about 124258306 large ideals Thu Jul 17 23:23:16 2008 commencing singleton removal, pass 4 Fri Jul 18 00:08:17 2008 found 20284176 singletons Fri Jul 18 00:08:17 2008 current dataset: 169995782 relations and about 103094981 large ideals Fri Jul 18 00:08:17 2008 commencing singleton removal, pass 5 Fri Jul 18 00:50:32 2008 relations with 0 large ideals: 6485 Fri Jul 18 00:50:32 2008 relations with 1 large ideals: 24 Fri Jul 18 00:50:32 2008 relations with 2 large ideals: 1469 Fri Jul 18 00:50:32 2008 relations with 3 large ideals: 28703 Fri Jul 18 00:50:32 2008 relations with 4 large ideals: 324360 Fri Jul 18 00:50:32 2008 relations with 5 large ideals: 2219014 Fri Jul 18 00:50:32 2008 relations with 6 large ideals: 9448963 Fri Jul 18 00:50:32 2008 relations with 7+ large ideals: 157966764 Fri Jul 18 00:50:32 2008 169995782 relations and about 126334924 large ideals Fri Jul 18 00:50:32 2008 commencing singleton removal, pass 6 Fri Jul 18 01:32:11 2008 found 16898053 singletons Fri Jul 18 01:32:11 2008 current dataset: 153097729 relations and about 108758054 large ideals Fri Jul 18 01:32:11 2008 commencing singleton removal, pass 7 Fri Jul 18 02:09:53 2008 found 3008670 singletons Fri Jul 18 02:09:53 2008 current dataset: 150089059 relations and about 105724184 large ideals Fri Jul 18 02:09:53 2008 commencing singleton removal, pass 8 Fri Jul 18 02:46:53 2008 found 455087 singletons Fri Jul 18 02:46:53 2008 current dataset: 149633972 relations and about 105268453 large ideals Fri Jul 18 02:46:54 2008 commencing singleton removal, final pass Fri Jul 18 05:15:10 2008 memory use: 6018.3 MB Fri Jul 18 05:15:13 2008 commencing in-memory singleton removal Fri Jul 18 05:17:46 2008 begin with 149633972 relations and 121859906 unique ideals Fri Jul 18 05:48:20 2008 reduce to 140254329 relations and 112343037 ideals in 12 passes Fri Jul 18 05:48:20 2008 max relations containing the same ideal: 1097 Fri Jul 18 05:59:51 2008 removing 3179629 relations and 2779629 ideals in 400000 cliques Fri Jul 18 06:00:05 2008 commencing in-memory singleton removal Fri Jul 18 06:02:21 2008 begin with 137074700 relations and 112343037 unique ideals Fri Jul 18 06:16:34 2008 reduce to 137040096 relations and 109528680 ideals in 6 passes Fri Jul 18 06:16:34 2008 max relations containing the same ideal: 1078 Fri Jul 18 06:26:54 2008 removing 2417555 relations and 2017555 ideals in 400000 cliques Fri Jul 18 06:27:07 2008 commencing in-memory singleton removal Fri Jul 18 06:29:14 2008 begin with 134622541 relations and 109528680 unique ideals Fri Jul 18 06:42:32 2008 reduce to 134600474 relations and 107488983 ideals in 6 passes Fri Jul 18 06:42:32 2008 max relations containing the same ideal: 1056 Fri Jul 18 06:52:16 2008 removing 2165619 relations and 1765619 ideals in 400000 cliques Fri Jul 18 06:52:30 2008 commencing in-memory singleton removal Fri Jul 18 06:54:34 2008 begin with 132434855 relations and 107488983 unique ideals Fri Jul 18 07:07:30 2008 reduce to 132416230 relations and 105704692 ideals in 6 passes Fri Jul 18 07:07:30 2008 max relations containing the same ideal: 1039 Fri Jul 18 07:16:58 2008 removing 2015464 relations and 1615464 ideals in 400000 cliques Fri Jul 18 07:17:14 2008 commencing in-memory singleton removal Fri Jul 18 07:19:10 2008 begin with 130400766 relations and 105704692 unique ideals Fri Jul 18 07:29:32 2008 reduce to 130384204 relations and 104072621 ideals in 5 passes Fri Jul 18 07:29:32 2008 max relations containing the same ideal: 1026 Fri Jul 18 07:38:41 2008 removing 1910739 relations and 1510739 ideals in 400000 cliques Fri Jul 18 07:38:54 2008 commencing in-memory singleton removal Fri Jul 18 07:40:50 2008 begin with 128473465 relations and 104072621 unique ideals Fri Jul 18 07:52:49 2008 reduce to 128458551 relations and 102546927 ideals in 6 passes Fri Jul 18 07:52:49 2008 max relations containing the same ideal: 1011 Fri Jul 18 08:01:43 2008 removing 1825258 relations and 1425258 ideals in 400000 cliques Fri Jul 18 08:01:55 2008 commencing in-memory singleton removal Fri Jul 18 08:03:47 2008 begin with 126633293 relations and 102546927 unique ideals Fri Jul 18 08:13:29 2008 reduce to 126618412 relations and 101106745 ideals in 5 passes Fri Jul 18 08:13:29 2008 max relations containing the same ideal: 999 Fri Jul 18 08:22:04 2008 removing 1762806 relations and 1362806 ideals in 400000 cliques Fri Jul 18 08:22:18 2008 commencing in-memory singleton removal Fri Jul 18 08:24:04 2008 begin with 124855606 relations and 101106745 unique ideals Fri Jul 18 08:33:30 2008 reduce to 124841651 relations and 99729938 ideals in 5 passes Fri Jul 18 08:33:30 2008 max relations containing the same ideal: 991 Fri Jul 18 08:41:52 2008 removing 1709887 relations and 1309887 ideals in 400000 cliques Fri Jul 18 08:42:03 2008 commencing in-memory singleton removal Fri Jul 18 08:43:47 2008 begin with 123131764 relations and 99729938 unique ideals Fri Jul 18 08:52:51 2008 reduce to 123118850 relations and 98407097 ideals in 5 passes Fri Jul 18 08:52:51 2008 max relations containing the same ideal: 981 Fri Jul 18 09:00:57 2008 removing 1667186 relations and 1267186 ideals in 400000 cliques Fri Jul 18 09:01:10 2008 commencing in-memory singleton removal Fri Jul 18 09:02:49 2008 begin with 121451664 relations and 98407097 unique ideals Fri Jul 18 09:11:35 2008 reduce to 121438704 relations and 97126925 ideals in 5 passes Fri Jul 18 09:11:35 2008 max relations containing the same ideal: 969 Fri Jul 18 09:19:26 2008 removing 1633175 relations and 1233175 ideals in 400000 cliques Fri Jul 18 09:19:40 2008 commencing in-memory singleton removal Fri Jul 18 09:21:18 2008 begin with 119805529 relations and 97126925 unique ideals Fri Jul 18 09:29:57 2008 reduce to 119792813 relations and 95880999 ideals in 5 passes Fri Jul 18 09:29:57 2008 max relations containing the same ideal: 960 Fri Jul 18 09:37:39 2008 removing 1598095 relations and 1198095 ideals in 400000 cliques Fri Jul 18 09:37:51 2008 commencing in-memory singleton removal Fri Jul 18 09:39:27 2008 begin with 118194718 relations and 95880999 unique ideals Fri Jul 18 09:47:53 2008 reduce to 118183158 relations and 94671313 ideals in 5 passes Fri Jul 18 09:47:53 2008 max relations containing the same ideal: 957 Fri Jul 18 09:55:28 2008 removing 1567328 relations and 1167328 ideals in 400000 cliques Fri Jul 18 09:55:40 2008 commencing in-memory singleton removal Fri Jul 18 09:57:16 2008 begin with 116615830 relations and 94671313 unique ideals Fri Jul 18 10:05:34 2008 reduce to 116604732 relations and 93492852 ideals in 5 passes Fri Jul 18 10:05:34 2008 max relations containing the same ideal: 943 Fri Jul 18 10:13:03 2008 removing 1521869 relations and 1121869 ideals in 400000 cliques Fri Jul 18 10:13:14 2008 commencing in-memory singleton removal Fri Jul 18 10:14:48 2008 begin with 115082863 relations and 93492852 unique ideals Fri Jul 18 10:23:00 2008 reduce to 115070191 relations and 92358283 ideals in 5 passes Fri Jul 18 10:23:00 2008 max relations containing the same ideal: 932 Fri Jul 18 10:30:20 2008 removing 1543327 relations and 1143327 ideals in 400000 cliques Fri Jul 18 10:30:32 2008 commencing in-memory singleton removal Fri Jul 18 10:32:04 2008 begin with 113526864 relations and 92358283 unique ideals Fri Jul 18 10:40:06 2008 reduce to 113516573 relations and 91204628 ideals in 5 passes Fri Jul 18 10:40:06 2008 max relations containing the same ideal: 915 Fri Jul 18 10:47:20 2008 removing 1491713 relations and 1091713 ideals in 400000 cliques Fri Jul 18 10:47:31 2008 commencing in-memory singleton removal Fri Jul 18 10:49:01 2008 begin with 112024860 relations and 91204628 unique ideals Fri Jul 18 10:57:00 2008 reduce to 112012939 relations and 90100950 ideals in 5 passes Fri Jul 18 10:57:00 2008 max relations containing the same ideal: 902 Fri Jul 18 11:04:04 2008 removing 1472519 relations and 1072519 ideals in 400000 cliques Fri Jul 18 11:04:15 2008 commencing in-memory singleton removal Fri Jul 18 11:05:46 2008 begin with 110540420 relations and 90100950 unique ideals Fri Jul 18 11:11:58 2008 reduce to 110527981 relations and 89015939 ideals in 4 passes Fri Jul 18 11:11:58 2008 max relations containing the same ideal: 889 Fri Jul 18 11:19:02 2008 removing 1442981 relations and 1042981 ideals in 400000 cliques Fri Jul 18 11:19:13 2008 commencing in-memory singleton removal Fri Jul 18 11:20:39 2008 begin with 109085000 relations and 89015939 unique ideals Fri Jul 18 11:28:18 2008 reduce to 109071785 relations and 87959684 ideals in 5 passes Fri Jul 18 11:28:18 2008 max relations containing the same ideal: 878 Fri Jul 18 11:35:13 2008 removing 1452577 relations and 1052577 ideals in 400000 cliques Fri Jul 18 11:35:24 2008 commencing in-memory singleton removal Fri Jul 18 11:36:51 2008 begin with 107619208 relations and 87959684 unique ideals Fri Jul 18 11:44:20 2008 reduce to 107609014 relations and 86896874 ideals in 5 passes Fri Jul 18 11:44:20 2008 max relations containing the same ideal: 867 Fri Jul 18 11:51:09 2008 removing 1408242 relations and 1008242 ideals in 400000 cliques Fri Jul 18 11:51:20 2008 commencing in-memory singleton removal Fri Jul 18 11:52:43 2008 begin with 106200772 relations and 86896874 unique ideals Fri Jul 18 11:58:39 2008 reduce to 106189476 relations and 85877302 ideals in 4 passes Fri Jul 18 11:58:39 2008 max relations containing the same ideal: 859 Fri Jul 18 12:05:15 2008 removing 1402696 relations and 1002696 ideals in 400000 cliques Fri Jul 18 12:05:27 2008 commencing in-memory singleton removal Fri Jul 18 12:06:49 2008 begin with 104786780 relations and 85877302 unique ideals Fri Jul 18 12:14:03 2008 reduce to 104775298 relations and 84863081 ideals in 5 passes Fri Jul 18 12:14:03 2008 max relations containing the same ideal: 851 Fri Jul 18 12:20:33 2008 removing 1386113 relations and 986113 ideals in 400000 cliques Fri Jul 18 12:20:44 2008 commencing in-memory singleton removal Fri Jul 18 12:22:07 2008 begin with 103389185 relations and 84863081 unique ideals Fri Jul 18 12:29:14 2008 reduce to 103377105 relations and 83864843 ideals in 5 passes Fri Jul 18 12:29:14 2008 max relations containing the same ideal: 842 Fri Jul 18 12:35:37 2008 removing 1370051 relations and 970051 ideals in 400000 cliques Fri Jul 18 12:35:48 2008 commencing in-memory singleton removal Fri Jul 18 12:37:07 2008 begin with 102007054 relations and 83864843 unique ideals Fri Jul 18 12:44:10 2008 reduce to 101994152 relations and 82881835 ideals in 5 passes Fri Jul 18 12:44:10 2008 max relations containing the same ideal: 830 Fri Jul 18 12:50:26 2008 removing 1383416 relations and 983416 ideals in 400000 cliques Fri Jul 18 12:50:37 2008 commencing in-memory singleton removal Fri Jul 18 12:51:57 2008 begin with 100610736 relations and 82881835 unique ideals Fri Jul 18 12:58:52 2008 reduce to 100599401 relations and 81887049 ideals in 5 passes Fri Jul 18 12:58:52 2008 max relations containing the same ideal: 819 Fri Jul 18 13:05:03 2008 removing 1363544 relations and 963544 ideals in 400000 cliques Fri Jul 18 13:05:14 2008 commencing in-memory singleton removal Fri Jul 18 13:06:32 2008 begin with 99235857 relations and 81887049 unique ideals Fri Jul 18 13:13:19 2008 reduce to 99224394 relations and 80911996 ideals in 5 passes Fri Jul 18 13:13:19 2008 max relations containing the same ideal: 812 Fri Jul 18 13:19:25 2008 removing 1339743 relations and 939743 ideals in 400000 cliques Fri Jul 18 13:19:36 2008 commencing in-memory singleton removal Fri Jul 18 13:20:53 2008 begin with 97884651 relations and 80911996 unique ideals Fri Jul 18 13:27:33 2008 reduce to 97871934 relations and 79959469 ideals in 5 passes Fri Jul 18 13:27:33 2008 max relations containing the same ideal: 801 Fri Jul 18 13:33:32 2008 removing 1350728 relations and 950728 ideals in 400000 cliques Fri Jul 18 13:33:42 2008 commencing in-memory singleton removal Fri Jul 18 13:34:57 2008 begin with 96521206 relations and 79959469 unique ideals Fri Jul 18 13:40:15 2008 reduce to 96508963 relations and 78996446 ideals in 4 passes Fri Jul 18 13:40:15 2008 max relations containing the same ideal: 791 Fri Jul 18 13:46:12 2008 removing 1329968 relations and 929968 ideals in 400000 cliques Fri Jul 18 13:46:23 2008 commencing in-memory singleton removal Fri Jul 18 13:47:36 2008 begin with 95178995 relations and 78996446 unique ideals Fri Jul 18 13:54:04 2008 reduce to 95166337 relations and 78053744 ideals in 5 passes Fri Jul 18 13:54:04 2008 max relations containing the same ideal: 784 Fri Jul 18 13:59:54 2008 removing 1328176 relations and 928176 ideals in 400000 cliques Fri Jul 18 14:00:04 2008 commencing in-memory singleton removal Fri Jul 18 14:01:16 2008 begin with 93838161 relations and 78053744 unique ideals Fri Jul 18 14:07:39 2008 reduce to 93825343 relations and 77112665 ideals in 5 passes Fri Jul 18 14:07:39 2008 max relations containing the same ideal: 771 Fri Jul 18 14:13:24 2008 removing 1314283 relations and 914283 ideals in 400000 cliques Fri Jul 18 14:13:34 2008 commencing in-memory singleton removal Fri Jul 18 14:14:45 2008 begin with 92511060 relations and 77112665 unique ideals Fri Jul 18 14:19:47 2008 reduce to 92497506 relations and 76184751 ideals in 4 passes Fri Jul 18 14:19:47 2008 max relations containing the same ideal: 763 Fri Jul 18 14:25:27 2008 removing 1303806 relations and 903806 ideals in 400000 cliques Fri Jul 18 14:25:37 2008 commencing in-memory singleton removal Fri Jul 18 14:26:46 2008 begin with 91193700 relations and 76184751 unique ideals Fri Jul 18 14:31:43 2008 reduce to 91179224 relations and 75266386 ideals in 4 passes Fri Jul 18 14:31:43 2008 max relations containing the same ideal: 752 Fri Jul 18 14:37:18 2008 removing 1291931 relations and 891931 ideals in 400000 cliques Fri Jul 18 14:37:27 2008 commencing in-memory singleton removal Fri Jul 18 14:38:37 2008 begin with 89887293 relations and 75266386 unique ideals Fri Jul 18 14:43:27 2008 reduce to 89872646 relations and 74359715 ideals in 4 passes Fri Jul 18 14:43:27 2008 max relations containing the same ideal: 746 Fri Jul 18 14:48:57 2008 removing 1304215 relations and 904215 ideals in 400000 cliques Fri Jul 18 14:49:06 2008 commencing in-memory singleton removal Fri Jul 18 14:50:15 2008 begin with 88568431 relations and 74359715 unique ideals Fri Jul 18 14:56:13 2008 reduce to 88556155 relations and 73443130 ideals in 5 passes Fri Jul 18 14:56:13 2008 max relations containing the same ideal: 738 Fri Jul 18 15:01:35 2008 removing 1284425 relations and 884425 ideals in 400000 cliques Fri Jul 18 15:01:45 2008 commencing in-memory singleton removal Fri Jul 18 15:02:52 2008 begin with 87271730 relations and 73443130 unique ideals Fri Jul 18 15:07:31 2008 reduce to 87259471 relations and 72546352 ideals in 4 passes Fri Jul 18 15:07:31 2008 max relations containing the same ideal: 731 Fri Jul 18 15:12:51 2008 removing 1276204 relations and 876204 ideals in 400000 cliques Fri Jul 18 15:13:00 2008 commencing in-memory singleton removal Fri Jul 18 15:14:05 2008 begin with 85983267 relations and 72546352 unique ideals Fri Jul 18 15:18:40 2008 reduce to 85970775 relations and 71657570 ideals in 4 passes Fri Jul 18 15:18:40 2008 max relations containing the same ideal: 719 Fri Jul 18 15:23:53 2008 removing 1268938 relations and 868938 ideals in 400000 cliques Fri Jul 18 15:24:02 2008 commencing in-memory singleton removal Fri Jul 18 15:25:06 2008 begin with 84701837 relations and 71657570 unique ideals Fri Jul 18 15:29:38 2008 reduce to 84688831 relations and 70775546 ideals in 4 passes Fri Jul 18 15:29:38 2008 max relations containing the same ideal: 708 Fri Jul 18 15:34:45 2008 removing 1272650 relations and 872650 ideals in 400000 cliques Fri Jul 18 15:34:54 2008 commencing in-memory singleton removal Fri Jul 18 15:35:58 2008 begin with 83416181 relations and 70775546 unique ideals Fri Jul 18 15:41:29 2008 reduce to 83403419 relations and 69890033 ideals in 5 passes Fri Jul 18 15:41:29 2008 max relations containing the same ideal: 698 Fri Jul 18 15:46:35 2008 removing 1270275 relations and 870275 ideals in 400000 cliques Fri Jul 18 15:46:43 2008 commencing in-memory singleton removal Fri Jul 18 15:47:45 2008 begin with 82133144 relations and 69890033 unique ideals Fri Jul 18 15:52:06 2008 reduce to 82120778 relations and 69007318 ideals in 4 passes Fri Jul 18 15:52:06 2008 max relations containing the same ideal: 694 Fri Jul 18 15:57:05 2008 removing 1260532 relations and 860532 ideals in 400000 cliques Fri Jul 18 15:57:15 2008 commencing in-memory singleton removal Fri Jul 18 15:58:16 2008 begin with 80860246 relations and 69007318 unique ideals Fri Jul 18 16:02:33 2008 reduce to 80847388 relations and 68133850 ideals in 4 passes Fri Jul 18 16:02:33 2008 max relations containing the same ideal: 688 Fri Jul 18 16:07:27 2008 removing 1253408 relations and 853408 ideals in 400000 cliques Fri Jul 18 16:07:35 2008 commencing in-memory singleton removal Fri Jul 18 16:08:36 2008 begin with 79593980 relations and 68133850 unique ideals Fri Jul 18 16:12:48 2008 reduce to 79580715 relations and 67267089 ideals in 4 passes Fri Jul 18 16:12:48 2008 max relations containing the same ideal: 675 Fri Jul 18 16:17:35 2008 removing 1260827 relations and 860827 ideals in 400000 cliques Fri Jul 18 16:17:43 2008 commencing in-memory singleton removal Fri Jul 18 16:18:42 2008 begin with 78319888 relations and 67267089 unique ideals Fri Jul 18 16:23:51 2008 reduce to 78306842 relations and 66393124 ideals in 5 passes Fri Jul 18 16:23:51 2008 max relations containing the same ideal: 666 Fri Jul 18 16:28:34 2008 removing 1246317 relations and 846317 ideals in 400000 cliques Fri Jul 18 16:28:43 2008 commencing in-memory singleton removal Fri Jul 18 16:29:41 2008 begin with 77060525 relations and 66393124 unique ideals Fri Jul 18 16:34:43 2008 reduce to 77046953 relations and 65533140 ideals in 5 passes Fri Jul 18 16:34:43 2008 max relations containing the same ideal: 657 Fri Jul 18 16:39:24 2008 removing 1247688 relations and 847688 ideals in 400000 cliques Fri Jul 18 16:39:32 2008 commencing in-memory singleton removal Fri Jul 18 16:40:29 2008 begin with 75799265 relations and 65533140 unique ideals Fri Jul 18 16:44:28 2008 reduce to 75785296 relations and 64671385 ideals in 4 passes Fri Jul 18 16:44:28 2008 max relations containing the same ideal: 650 Fri Jul 18 16:49:01 2008 removing 1238770 relations and 838770 ideals in 400000 cliques Fri Jul 18 16:49:09 2008 commencing in-memory singleton removal Fri Jul 18 16:50:04 2008 begin with 74546526 relations and 64671385 unique ideals Fri Jul 18 16:53:57 2008 reduce to 74532065 relations and 63818049 ideals in 4 passes Fri Jul 18 16:53:57 2008 max relations containing the same ideal: 638 Fri Jul 18 16:58:32 2008 removing 1240597 relations and 840597 ideals in 400000 cliques Fri Jul 18 16:58:40 2008 commencing in-memory singleton removal Fri Jul 18 16:59:38 2008 begin with 73291468 relations and 63818049 unique ideals Fri Jul 18 17:03:35 2008 reduce to 73276548 relations and 62962419 ideals in 4 passes Fri Jul 18 17:03:35 2008 max relations containing the same ideal: 628 Fri Jul 18 17:08:10 2008 removing 1233518 relations and 833518 ideals in 400000 cliques Fri Jul 18 17:08:17 2008 commencing in-memory singleton removal Fri Jul 18 17:09:15 2008 begin with 72043030 relations and 62962419 unique ideals Fri Jul 18 17:13:06 2008 reduce to 72027268 relations and 62113034 ideals in 4 passes Fri Jul 18 17:13:06 2008 max relations containing the same ideal: 618 Fri Jul 18 17:17:33 2008 removing 1227496 relations and 827496 ideals in 400000 cliques Fri Jul 18 17:17:41 2008 commencing in-memory singleton removal Fri Jul 18 17:18:35 2008 begin with 70799772 relations and 62113034 unique ideals Fri Jul 18 17:23:14 2008 reduce to 70783271 relations and 61268910 ideals in 5 passes Fri Jul 18 17:23:14 2008 max relations containing the same ideal: 609 Fri Jul 18 17:27:35 2008 removing 1246878 relations and 846878 ideals in 400000 cliques Fri Jul 18 17:27:41 2008 commencing in-memory singleton removal Fri Jul 18 17:28:33 2008 begin with 69536393 relations and 61268910 unique ideals Fri Jul 18 17:33:06 2008 reduce to 69521000 relations and 60406502 ideals in 5 passes Fri Jul 18 17:33:06 2008 max relations containing the same ideal: 600 Fri Jul 18 17:37:19 2008 removing 1240113 relations and 840113 ideals in 400000 cliques Fri Jul 18 17:37:26 2008 commencing in-memory singleton removal Fri Jul 18 17:38:18 2008 begin with 68280887 relations and 60406502 unique ideals Fri Jul 18 17:41:50 2008 reduce to 68266013 relations and 59551385 ideals in 4 passes Fri Jul 18 17:41:50 2008 max relations containing the same ideal: 593 Fri Jul 18 17:45:57 2008 removing 1231108 relations and 831108 ideals in 400000 cliques Fri Jul 18 17:46:04 2008 commencing in-memory singleton removal Fri Jul 18 17:46:55 2008 begin with 67034905 relations and 59551385 unique ideals Fri Jul 18 17:51:15 2008 reduce to 67019251 relations and 58704513 ideals in 5 passes Fri Jul 18 17:51:15 2008 max relations containing the same ideal: 584 Fri Jul 18 17:55:15 2008 removing 1234463 relations and 834463 ideals in 400000 cliques Fri Jul 18 17:55:22 2008 commencing in-memory singleton removal Fri Jul 18 17:56:10 2008 begin with 65784788 relations and 58704513 unique ideals Fri Jul 18 18:00:22 2008 reduce to 65769041 relations and 57854176 ideals in 5 passes Fri Jul 18 18:00:22 2008 max relations containing the same ideal: 575 Fri Jul 18 18:04:16 2008 removing 1229145 relations and 829145 ideals in 400000 cliques Fri Jul 18 18:04:23 2008 commencing in-memory singleton removal Fri Jul 18 18:05:10 2008 begin with 64539896 relations and 57854176 unique ideals Fri Jul 18 18:09:16 2008 reduce to 64523383 relations and 57008397 ideals in 5 passes Fri Jul 18 18:09:16 2008 max relations containing the same ideal: 562 Fri Jul 18 18:13:05 2008 removing 1229108 relations and 829108 ideals in 400000 cliques Fri Jul 18 18:13:13 2008 commencing in-memory singleton removal Fri Jul 18 18:13:59 2008 begin with 63294275 relations and 57008397 unique ideals Fri Jul 18 18:18:02 2008 reduce to 63277457 relations and 56162319 ideals in 5 passes Fri Jul 18 18:18:02 2008 max relations containing the same ideal: 554 Fri Jul 18 18:21:49 2008 removing 1228838 relations and 828838 ideals in 400000 cliques Fri Jul 18 18:21:56 2008 commencing in-memory singleton removal Fri Jul 18 18:22:41 2008 begin with 62048619 relations and 56162319 unique ideals Fri Jul 18 18:25:50 2008 reduce to 62030936 relations and 55315645 ideals in 4 passes Fri Jul 18 18:25:50 2008 max relations containing the same ideal: 545 Fri Jul 18 18:29:30 2008 removing 1227726 relations and 827726 ideals in 400000 cliques Fri Jul 18 18:29:37 2008 commencing in-memory singleton removal Fri Jul 18 18:30:21 2008 begin with 60803210 relations and 55315645 unique ideals Fri Jul 18 18:33:25 2008 reduce to 60784879 relations and 54469398 ideals in 4 passes Fri Jul 18 18:33:25 2008 max relations containing the same ideal: 536 Fri Jul 18 18:37:03 2008 removing 1227607 relations and 827607 ideals in 400000 cliques Fri Jul 18 18:37:11 2008 commencing in-memory singleton removal Fri Jul 18 18:37:52 2008 begin with 59557272 relations and 54469398 unique ideals Fri Jul 18 18:41:38 2008 reduce to 59538231 relations and 53622576 ideals in 5 passes Fri Jul 18 18:41:38 2008 max relations containing the same ideal: 524 Fri Jul 18 18:45:10 2008 removing 1227751 relations and 827751 ideals in 400000 cliques Fri Jul 18 18:45:16 2008 commencing in-memory singleton removal Fri Jul 18 18:45:58 2008 begin with 58310480 relations and 53622576 unique ideals Fri Jul 18 18:48:52 2008 reduce to 58290816 relations and 52774967 ideals in 4 passes Fri Jul 18 18:48:52 2008 max relations containing the same ideal: 506 Fri Jul 18 18:52:21 2008 removing 1229303 relations and 829303 ideals in 400000 cliques Fri Jul 18 18:52:26 2008 commencing in-memory singleton removal Fri Jul 18 18:53:07 2008 begin with 57061513 relations and 52774967 unique ideals Fri Jul 18 18:56:41 2008 reduce to 57041332 relations and 51925274 ideals in 5 passes Fri Jul 18 18:56:41 2008 max relations containing the same ideal: 496 Fri Jul 18 19:00:03 2008 removing 1229614 relations and 829614 ideals in 400000 cliques Fri Jul 18 19:00:09 2008 commencing in-memory singleton removal Fri Jul 18 19:00:51 2008 begin with 55811718 relations and 51925274 unique ideals Fri Jul 18 19:05:03 2008 reduce to 55790548 relations and 51074273 ideals in 6 passes Fri Jul 18 19:05:03 2008 max relations containing the same ideal: 481 Fri Jul 18 19:08:22 2008 removing 1231939 relations and 831939 ideals in 400000 cliques Fri Jul 18 19:08:28 2008 commencing in-memory singleton removal Fri Jul 18 19:09:05 2008 begin with 54558609 relations and 51074273 unique ideals Fri Jul 18 19:11:50 2008 reduce to 54537232 relations and 50220732 ideals in 4 passes Fri Jul 18 19:11:50 2008 max relations containing the same ideal: 474 Fri Jul 18 19:15:03 2008 removing 1232453 relations and 832453 ideals in 400000 cliques Fri Jul 18 19:15:09 2008 commencing in-memory singleton removal Fri Jul 18 19:15:46 2008 begin with 53304779 relations and 50220732 unique ideals Fri Jul 18 19:19:02 2008 reduce to 53281925 relations and 49365173 ideals in 5 passes Fri Jul 18 19:19:02 2008 max relations containing the same ideal: 465 Fri Jul 18 19:22:14 2008 removing 1242360 relations and 842360 ideals in 400000 cliques Fri Jul 18 19:22:20 2008 commencing in-memory singleton removal Fri Jul 18 19:22:57 2008 begin with 52039565 relations and 49365173 unique ideals Fri Jul 18 19:26:09 2008 reduce to 52016842 relations and 48499859 ideals in 5 passes Fri Jul 18 19:26:09 2008 max relations containing the same ideal: 456 Fri Jul 18 19:29:15 2008 removing 1244401 relations and 844401 ideals in 400000 cliques Fri Jul 18 19:29:20 2008 commencing in-memory singleton removal Fri Jul 18 19:29:56 2008 begin with 50772441 relations and 48499859 unique ideals Fri Jul 18 19:33:03 2008 reduce to 50749247 relations and 47632037 ideals in 5 passes Fri Jul 18 19:33:03 2008 max relations containing the same ideal: 446 Fri Jul 18 19:36:02 2008 removing 1248265 relations and 848265 ideals in 400000 cliques Fri Jul 18 19:36:08 2008 commencing in-memory singleton removal Fri Jul 18 19:36:44 2008 begin with 49500982 relations and 47632037 unique ideals Fri Jul 18 19:39:46 2008 reduce to 49477321 relations and 46759874 ideals in 5 passes Fri Jul 18 19:39:46 2008 max relations containing the same ideal: 436 Fri Jul 18 19:42:41 2008 removing 1254185 relations and 854185 ideals in 400000 cliques Fri Jul 18 19:42:47 2008 commencing in-memory singleton removal Fri Jul 18 19:43:21 2008 begin with 48223136 relations and 46759874 unique ideals Fri Jul 18 19:46:15 2008 reduce to 48198946 relations and 45881255 ideals in 5 passes Fri Jul 18 19:46:15 2008 max relations containing the same ideal: 430 Fri Jul 18 19:49:08 2008 removing 1257237 relations and 857237 ideals in 400000 cliques Fri Jul 18 19:49:13 2008 commencing in-memory singleton removal Fri Jul 18 19:49:45 2008 begin with 46941709 relations and 45881255 unique ideals Fri Jul 18 19:52:36 2008 reduce to 46916370 relations and 44998445 ideals in 5 passes Fri Jul 18 19:52:36 2008 max relations containing the same ideal: 422 Fri Jul 18 19:55:26 2008 removing 1266809 relations and 866809 ideals in 400000 cliques Fri Jul 18 19:55:30 2008 commencing in-memory singleton removal Fri Jul 18 19:56:01 2008 begin with 45649561 relations and 44998445 unique ideals Fri Jul 18 19:58:49 2008 reduce to 45623624 relations and 44105426 ideals in 5 passes Fri Jul 18 19:58:49 2008 max relations containing the same ideal: 409 Fri Jul 18 20:01:32 2008 removing 1269659 relations and 869659 ideals in 400000 cliques Fri Jul 18 20:01:37 2008 commencing in-memory singleton removal Fri Jul 18 20:02:08 2008 begin with 44353965 relations and 44105426 unique ideals Fri Jul 18 20:04:49 2008 reduce to 44326557 relations and 43208054 ideals in 5 passes Fri Jul 18 20:04:49 2008 max relations containing the same ideal: 402 Fri Jul 18 20:07:25 2008 removing 1282797 relations and 882797 ideals in 400000 cliques Fri Jul 18 20:07:30 2008 commencing in-memory singleton removal Fri Jul 18 20:08:01 2008 begin with 43043760 relations and 43208054 unique ideals Fri Jul 18 20:11:08 2008 reduce to 43014717 relations and 42295926 ideals in 6 passes Fri Jul 18 20:11:08 2008 max relations containing the same ideal: 396 Fri Jul 18 20:13:42 2008 removing 1291218 relations and 891218 ideals in 400000 cliques Fri Jul 18 20:13:46 2008 commencing in-memory singleton removal Fri Jul 18 20:14:15 2008 begin with 41723499 relations and 42295926 unique ideals Fri Jul 18 20:16:47 2008 reduce to 41692896 relations and 41373776 ideals in 5 passes Fri Jul 18 20:16:47 2008 max relations containing the same ideal: 388 Fri Jul 18 20:19:16 2008 removing 349631 relations and 265448 ideals in 84183 cliques Fri Jul 18 20:19:20 2008 commencing in-memory singleton removal Fri Jul 18 20:19:48 2008 begin with 41343265 relations and 41373776 unique ideals Fri Jul 18 20:21:46 2008 reduce to 41341480 relations and 41106539 ideals in 4 passes Fri Jul 18 20:21:46 2008 max relations containing the same ideal: 385 Fri Jul 18 20:22:13 2008 filtering rational ideals above 400000 Fri Jul 18 20:22:13 2008 filtering algebraic ideals above 400000 Fri Jul 18 20:22:13 2008 need 67562 more relations than ideals Fri Jul 18 20:22:13 2008 commencing singleton removal, final pass Sat Jul 19 02:32:37 2008 keeping 102174630 ideals with weight <= 20, new excess is 10325031 Sat Jul 19 02:39:55 2008 memory use: 3684.3 MB Sat Jul 19 02:39:58 2008 commencing in-memory singleton removal Sat Jul 19 02:40:48 2008 begin with 140254329 relations and 102174630 unique ideals Sat Jul 19 02:41:51 2008 reduce to 140254329 relations and 102174630 ideals in 1 passes Sat Jul 19 02:41:51 2008 max relations containing the same ideal: 20 Sat Jul 19 02:46:37 2008 removing 3179629 relations and 2779629 ideals in 400000 cliques Sat Jul 19 02:46:46 2008 commencing in-memory singleton removal Sat Jul 19 02:47:34 2008 begin with 137074700 relations and 102174630 unique ideals Sat Jul 19 02:53:54 2008 reduce to 137040096 relations and 99360273 ideals in 6 passes Sat Jul 19 02:53:54 2008 max relations containing the same ideal: 20 Sat Jul 19 02:58:19 2008 removing 2417553 relations and 2017553 ideals in 400000 cliques Sat Jul 19 02:58:27 2008 commencing in-memory singleton removal Sat Jul 19 02:59:17 2008 begin with 134622543 relations and 99360273 unique ideals Sat Jul 19 03:05:30 2008 reduce to 134600478 relations and 97320580 ideals in 6 passes Sat Jul 19 03:05:30 2008 max relations containing the same ideal: 20 Sat Jul 19 03:09:53 2008 removing 2165621 relations and 1765621 ideals in 400000 cliques Sat Jul 19 03:10:01 2008 commencing in-memory singleton removal Sat Jul 19 03:10:48 2008 begin with 132434857 relations and 97320580 unique ideals Sat Jul 19 03:16:49 2008 reduce to 132416229 relations and 95536284 ideals in 6 passes Sat Jul 19 03:16:49 2008 max relations containing the same ideal: 20 Sat Jul 19 03:21:05 2008 removing 2015462 relations and 1615462 ideals in 400000 cliques Sat Jul 19 03:21:12 2008 commencing in-memory singleton removal Sat Jul 19 03:22:00 2008 begin with 130400767 relations and 95536284 unique ideals Sat Jul 19 03:26:55 2008 reduce to 130384208 relations and 93904218 ideals in 5 passes Sat Jul 19 03:26:55 2008 max relations containing the same ideal: 20 Sat Jul 19 03:31:05 2008 removing 1910726 relations and 1510726 ideals in 400000 cliques Sat Jul 19 03:31:11 2008 commencing in-memory singleton removal Sat Jul 19 03:31:58 2008 begin with 128473482 relations and 93904218 unique ideals Sat Jul 19 03:37:47 2008 reduce to 128458571 relations and 92378540 ideals in 6 passes Sat Jul 19 03:37:47 2008 max relations containing the same ideal: 20 Sat Jul 19 03:41:52 2008 removing 1825290 relations and 1425290 ideals in 400000 cliques Sat Jul 19 03:41:59 2008 commencing in-memory singleton removal Sat Jul 19 03:42:43 2008 begin with 126633281 relations and 92378540 unique ideals Sat Jul 19 03:47:29 2008 reduce to 126618410 relations and 90938336 ideals in 5 passes Sat Jul 19 03:47:29 2008 max relations containing the same ideal: 20 Sat Jul 19 03:51:28 2008 removing 1762810 relations and 1362810 ideals in 400000 cliques Sat Jul 19 03:51:35 2008 commencing in-memory singleton removal Sat Jul 19 03:52:20 2008 begin with 124855600 relations and 90938336 unique ideals Sat Jul 19 03:56:59 2008 reduce to 124841649 relations and 89561529 ideals in 5 passes Sat Jul 19 03:56:59 2008 max relations containing the same ideal: 20 Sat Jul 19 04:00:56 2008 removing 1709879 relations and 1309879 ideals in 400000 cliques Sat Jul 19 04:01:02 2008 commencing in-memory singleton removal Sat Jul 19 04:01:47 2008 begin with 123131770 relations and 89561529 unique ideals Sat Jul 19 04:06:22 2008 reduce to 123118845 relations and 88238686 ideals in 5 passes Sat Jul 19 04:06:22 2008 max relations containing the same ideal: 20 Sat Jul 19 04:10:13 2008 removing 1667210 relations and 1267210 ideals in 400000 cliques Sat Jul 19 04:10:21 2008 commencing in-memory singleton removal Sat Jul 19 04:11:03 2008 begin with 121451635 relations and 88238686 unique ideals Sat Jul 19 04:15:31 2008 reduce to 121438667 relations and 86958482 ideals in 5 passes Sat Jul 19 04:15:31 2008 max relations containing the same ideal: 20 Sat Jul 19 04:19:21 2008 removing 1633166 relations and 1233166 ideals in 400000 cliques Sat Jul 19 04:19:29 2008 commencing in-memory singleton removal Sat Jul 19 04:20:09 2008 begin with 119805501 relations and 86958482 unique ideals Sat Jul 19 04:24:34 2008 reduce to 119792792 relations and 85712572 ideals in 5 passes Sat Jul 19 04:24:34 2008 max relations containing the same ideal: 20 Sat Jul 19 04:28:20 2008 removing 1598085 relations and 1198085 ideals in 400000 cliques Sat Jul 19 04:28:26 2008 commencing in-memory singleton removal Sat Jul 19 04:29:06 2008 begin with 118194707 relations and 85712572 unique ideals Sat Jul 19 04:33:27 2008 reduce to 118183154 relations and 84502903 ideals in 5 passes Sat Jul 19 04:33:27 2008 max relations containing the same ideal: 20 Sat Jul 19 04:37:09 2008 removing 1567323 relations and 1167323 ideals in 400000 cliques Sat Jul 19 04:37:14 2008 commencing in-memory singleton removal Sat Jul 19 04:37:54 2008 begin with 116615831 relations and 84502903 unique ideals Sat Jul 19 04:42:07 2008 reduce to 116604733 relations and 83324447 ideals in 5 passes Sat Jul 19 04:42:07 2008 max relations containing the same ideal: 20 Sat Jul 19 04:45:45 2008 removing 1521871 relations and 1121871 ideals in 400000 cliques Sat Jul 19 04:45:50 2008 commencing in-memory singleton removal Sat Jul 19 04:46:28 2008 begin with 115082862 relations and 83324447 unique ideals Sat Jul 19 04:50:40 2008 reduce to 115070195 relations and 82189881 ideals in 5 passes Sat Jul 19 04:50:40 2008 max relations containing the same ideal: 20 Sat Jul 19 04:54:12 2008 removing 1543330 relations and 1143330 ideals in 400000 cliques Sat Jul 19 04:54:19 2008 commencing in-memory singleton removal Sat Jul 19 04:54:58 2008 begin with 113526865 relations and 82189881 unique ideals Sat Jul 19 04:59:04 2008 reduce to 113516577 relations and 81036226 ideals in 5 passes Sat Jul 19 04:59:04 2008 max relations containing the same ideal: 20 Sat Jul 19 05:02:33 2008 removing 1491711 relations and 1091711 ideals in 400000 cliques Sat Jul 19 05:02:39 2008 commencing in-memory singleton removal Sat Jul 19 05:03:17 2008 begin with 112024866 relations and 81036226 unique ideals Sat Jul 19 05:07:21 2008 reduce to 112012936 relations and 79932541 ideals in 5 passes Sat Jul 19 05:07:21 2008 max relations containing the same ideal: 20 Sat Jul 19 05:10:45 2008 removing 1472506 relations and 1072506 ideals in 400000 cliques Sat Jul 19 05:10:52 2008 commencing in-memory singleton removal Sat Jul 19 05:11:30 2008 begin with 110540430 relations and 79932541 unique ideals Sat Jul 19 05:14:41 2008 reduce to 110528004 relations and 78847556 ideals in 4 passes Sat Jul 19 05:14:41 2008 max relations containing the same ideal: 20 Sat Jul 19 05:18:03 2008 removing 1443012 relations and 1043012 ideals in 400000 cliques Sat Jul 19 05:18:09 2008 commencing in-memory singleton removal Sat Jul 19 05:18:45 2008 begin with 109084992 relations and 78847556 unique ideals Sat Jul 19 05:22:38 2008 reduce to 109071774 relations and 77791267 ideals in 5 passes Sat Jul 19 05:22:38 2008 max relations containing the same ideal: 20 Sat Jul 19 05:25:55 2008 removing 1452523 relations and 1052523 ideals in 400000 cliques Sat Jul 19 05:26:00 2008 commencing in-memory singleton removal Sat Jul 19 05:26:37 2008 begin with 107619251 relations and 77791267 unique ideals Sat Jul 19 05:30:25 2008 reduce to 107609062 relations and 76728515 ideals in 5 passes Sat Jul 19 05:30:25 2008 max relations containing the same ideal: 20 Sat Jul 19 05:33:41 2008 removing 1408249 relations and 1008249 ideals in 400000 cliques Sat Jul 19 05:33:46 2008 commencing in-memory singleton removal Sat Jul 19 05:34:22 2008 begin with 106200813 relations and 76728515 unique ideals Sat Jul 19 05:37:21 2008 reduce to 106189497 relations and 75708916 ideals in 4 passes Sat Jul 19 05:37:21 2008 max relations containing the same ideal: 20 Sat Jul 19 05:40:33 2008 removing 1402734 relations and 1002734 ideals in 400000 cliques Sat Jul 19 05:40:38 2008 commencing in-memory singleton removal Sat Jul 19 05:41:13 2008 begin with 104786763 relations and 75708916 unique ideals Sat Jul 19 05:44:55 2008 reduce to 104775252 relations and 74694628 ideals in 5 passes Sat Jul 19 05:44:55 2008 max relations containing the same ideal: 20 Sat Jul 19 05:48:03 2008 removing 1386077 relations and 986077 ideals in 400000 cliques Sat Jul 19 05:48:08 2008 commencing in-memory singleton removal Sat Jul 19 05:48:44 2008 begin with 103389175 relations and 74694628 unique ideals Sat Jul 19 05:52:22 2008 reduce to 103377092 relations and 73696425 ideals in 5 passes Sat Jul 19 05:52:22 2008 max relations containing the same ideal: 20 Sat Jul 19 05:55:28 2008 removing 1369991 relations and 969991 ideals in 400000 cliques Sat Jul 19 05:55:34 2008 commencing in-memory singleton removal Sat Jul 19 05:56:07 2008 begin with 102007101 relations and 73696425 unique ideals Sat Jul 19 05:59:43 2008 reduce to 101994205 relations and 72713484 ideals in 5 passes Sat Jul 19 05:59:43 2008 max relations containing the same ideal: 20 Sat Jul 19 06:02:44 2008 removing 1383454 relations and 983454 ideals in 400000 cliques Sat Jul 19 06:02:50 2008 commencing in-memory singleton removal Sat Jul 19 06:03:23 2008 begin with 100610751 relations and 72713484 unique ideals Sat Jul 19 06:06:54 2008 reduce to 100599396 relations and 71718639 ideals in 5 passes Sat Jul 19 06:06:54 2008 max relations containing the same ideal: 20 Sat Jul 19 06:09:54 2008 removing 1363546 relations and 963546 ideals in 400000 cliques Sat Jul 19 06:09:59 2008 commencing in-memory singleton removal Sat Jul 19 06:10:33 2008 begin with 99235850 relations and 71718639 unique ideals Sat Jul 19 06:13:59 2008 reduce to 99224416 relations and 70743613 ideals in 5 passes Sat Jul 19 06:13:59 2008 max relations containing the same ideal: 20 Sat Jul 19 06:16:54 2008 removing 1339633 relations and 939633 ideals in 400000 cliques Sat Jul 19 06:17:00 2008 commencing in-memory singleton removal Sat Jul 19 06:17:34 2008 begin with 97884783 relations and 70743613 unique ideals Sat Jul 19 06:20:57 2008 reduce to 97872102 relations and 69791232 ideals in 5 passes Sat Jul 19 06:20:57 2008 max relations containing the same ideal: 20 Sat Jul 19 06:23:51 2008 removing 1350944 relations and 950944 ideals in 400000 cliques Sat Jul 19 06:23:56 2008 commencing in-memory singleton removal Sat Jul 19 06:24:26 2008 begin with 96521158 relations and 69791232 unique ideals Sat Jul 19 06:27:06 2008 reduce to 96508937 relations and 68828016 ideals in 4 passes Sat Jul 19 06:27:06 2008 max relations containing the same ideal: 20 Sat Jul 19 06:29:56 2008 removing 1329889 relations and 929889 ideals in 400000 cliques Sat Jul 19 06:30:01 2008 commencing in-memory singleton removal Sat Jul 19 06:30:33 2008 begin with 95179048 relations and 68828016 unique ideals Sat Jul 19 06:33:51 2008 reduce to 95166358 relations and 67885359 ideals in 5 passes Sat Jul 19 06:33:51 2008 max relations containing the same ideal: 20 Sat Jul 19 06:36:37 2008 removing 1328233 relations and 928233 ideals in 400000 cliques Sat Jul 19 06:36:42 2008 commencing in-memory singleton removal Sat Jul 19 06:37:14 2008 begin with 93838125 relations and 67885359 unique ideals Sat Jul 19 06:40:28 2008 reduce to 93825267 relations and 66944182 ideals in 5 passes Sat Jul 19 06:40:28 2008 max relations containing the same ideal: 20 Sat Jul 19 06:43:13 2008 removing 1314236 relations and 914236 ideals in 400000 cliques Sat Jul 19 06:43:17 2008 commencing in-memory singleton removal Sat Jul 19 06:43:48 2008 begin with 92511031 relations and 66944182 unique ideals Sat Jul 19 06:46:19 2008 reduce to 92497438 relations and 66016276 ideals in 4 passes Sat Jul 19 06:46:19 2008 max relations containing the same ideal: 20 Sat Jul 19 06:49:04 2008 removing 1303469 relations and 903469 ideals in 400000 cliques Sat Jul 19 06:49:10 2008 commencing in-memory singleton removal Sat Jul 19 06:49:38 2008 begin with 91193969 relations and 66016276 unique ideals Sat Jul 19 06:52:06 2008 reduce to 91179452 relations and 65098205 ideals in 4 passes Sat Jul 19 06:52:06 2008 max relations containing the same ideal: 20 Sat Jul 19 06:54:48 2008 removing 1292295 relations and 892295 ideals in 400000 cliques Sat Jul 19 06:54:52 2008 commencing in-memory singleton removal Sat Jul 19 06:55:21 2008 begin with 89887157 relations and 65098205 unique ideals Sat Jul 19 06:57:49 2008 reduce to 89872626 relations and 64191286 ideals in 4 passes Sat Jul 19 06:57:49 2008 max relations containing the same ideal: 20 Sat Jul 19 07:00:26 2008 removing 1304141 relations and 904141 ideals in 400000 cliques Sat Jul 19 07:00:31 2008 commencing in-memory singleton removal Sat Jul 19 07:00:59 2008 begin with 88568485 relations and 64191286 unique ideals Sat Jul 19 07:03:56 2008 reduce to 88556184 relations and 63274750 ideals in 5 passes Sat Jul 19 07:03:56 2008 max relations containing the same ideal: 20 Sat Jul 19 07:06:31 2008 removing 1284372 relations and 884372 ideals in 400000 cliques Sat Jul 19 07:06:37 2008 commencing in-memory singleton removal Sat Jul 19 07:07:04 2008 begin with 87271812 relations and 63274750 unique ideals Sat Jul 19 07:09:26 2008 reduce to 87259558 relations and 62378028 ideals in 4 passes Sat Jul 19 07:09:26 2008 max relations containing the same ideal: 20 Sat Jul 19 07:11:58 2008 removing 1276231 relations and 876231 ideals in 400000 cliques Sat Jul 19 07:12:03 2008 commencing in-memory singleton removal Sat Jul 19 07:12:30 2008 begin with 85983327 relations and 62378028 unique ideals Sat Jul 19 07:14:48 2008 reduce to 85970841 relations and 61489229 ideals in 4 passes Sat Jul 19 07:14:48 2008 max relations containing the same ideal: 20 Sat Jul 19 07:17:16 2008 removing 1268828 relations and 868828 ideals in 400000 cliques Sat Jul 19 07:17:21 2008 commencing in-memory singleton removal Sat Jul 19 07:17:50 2008 begin with 84702013 relations and 61489229 unique ideals Sat Jul 19 07:20:05 2008 reduce to 84688983 relations and 60607289 ideals in 4 passes Sat Jul 19 07:20:05 2008 max relations containing the same ideal: 20 Sat Jul 19 07:22:31 2008 removing 1272971 relations and 872971 ideals in 400000 cliques Sat Jul 19 07:22:35 2008 commencing in-memory singleton removal Sat Jul 19 07:23:01 2008 begin with 83416012 relations and 60607289 unique ideals Sat Jul 19 07:25:49 2008 reduce to 83403263 relations and 59721470 ideals in 5 passes Sat Jul 19 07:25:49 2008 max relations containing the same ideal: 20 Sat Jul 19 07:28:11 2008 removing 1270059 relations and 870059 ideals in 400000 cliques Sat Jul 19 07:28:16 2008 commencing in-memory singleton removal Sat Jul 19 07:28:43 2008 begin with 82133204 relations and 59721470 unique ideals Sat Jul 19 07:30:55 2008 reduce to 82120828 relations and 58838961 ideals in 4 passes Sat Jul 19 07:30:55 2008 max relations containing the same ideal: 20 Sat Jul 19 07:33:15 2008 removing 1260131 relations and 860131 ideals in 400000 cliques Sat Jul 19 07:33:19 2008 commencing in-memory singleton removal Sat Jul 19 07:33:44 2008 begin with 80860697 relations and 58838961 unique ideals Sat Jul 19 07:35:52 2008 reduce to 80847945 relations and 57966005 ideals in 4 passes Sat Jul 19 07:35:52 2008 max relations containing the same ideal: 20 Sat Jul 19 07:38:11 2008 removing 1254099 relations and 854099 ideals in 400000 cliques Sat Jul 19 07:38:15 2008 commencing in-memory singleton removal Sat Jul 19 07:38:41 2008 begin with 79593846 relations and 57966005 unique ideals Sat Jul 19 07:40:46 2008 reduce to 79580638 relations and 57098604 ideals in 4 passes Sat Jul 19 07:40:46 2008 max relations containing the same ideal: 20 Sat Jul 19 07:43:02 2008 removing 1259714 relations and 859714 ideals in 400000 cliques Sat Jul 19 07:43:07 2008 commencing in-memory singleton removal Sat Jul 19 07:43:30 2008 begin with 78320924 relations and 57098604 unique ideals Sat Jul 19 07:45:34 2008 reduce to 78307746 relations and 56225628 ideals in 4 passes Sat Jul 19 07:45:34 2008 max relations containing the same ideal: 20 Sat Jul 19 07:47:48 2008 removing 1246003 relations and 846003 ideals in 400000 cliques Sat Jul 19 07:47:52 2008 commencing in-memory singleton removal Sat Jul 19 07:48:16 2008 begin with 77061743 relations and 56225628 unique ideals Sat Jul 19 07:50:18 2008 reduce to 77048075 relations and 55365863 ideals in 4 passes Sat Jul 19 07:50:18 2008 max relations containing the same ideal: 20 Sat Jul 19 07:52:27 2008 removing 1248604 relations and 848604 ideals in 400000 cliques Sat Jul 19 07:52:32 2008 commencing in-memory singleton removal Sat Jul 19 07:52:56 2008 begin with 75799471 relations and 55365863 unique ideals Sat Jul 19 07:55:25 2008 reduce to 75785380 relations and 54503065 ideals in 5 passes Sat Jul 19 07:55:25 2008 max relations containing the same ideal: 20 Sat Jul 19 07:57:34 2008 removing 1239668 relations and 839668 ideals in 400000 cliques Sat Jul 19 07:57:38 2008 commencing in-memory singleton removal Sat Jul 19 07:58:00 2008 begin with 74545712 relations and 54503065 unique ideals Sat Jul 19 07:59:57 2008 reduce to 74531270 relations and 53648864 ideals in 4 passes Sat Jul 19 07:59:57 2008 max relations containing the same ideal: 20 Sat Jul 19 08:02:03 2008 removing 1238922 relations and 838922 ideals in 400000 cliques Sat Jul 19 08:02:08 2008 commencing in-memory singleton removal Sat Jul 19 08:02:30 2008 begin with 73292348 relations and 53648864 unique ideals Sat Jul 19 08:04:54 2008 reduce to 73277356 relations and 52794847 ideals in 5 passes Sat Jul 19 08:04:54 2008 max relations containing the same ideal: 20 Sat Jul 19 08:06:58 2008 removing 1233353 relations and 833353 ideals in 400000 cliques Sat Jul 19 08:07:02 2008 commencing in-memory singleton removal Sat Jul 19 08:07:24 2008 begin with 72044003 relations and 52794847 unique ideals Sat Jul 19 08:09:18 2008 reduce to 72028347 relations and 51945735 ideals in 4 passes Sat Jul 19 08:09:18 2008 max relations containing the same ideal: 20 Sat Jul 19 08:11:19 2008 removing 1228284 relations and 828284 ideals in 400000 cliques Sat Jul 19 08:11:22 2008 commencing in-memory singleton removal Sat Jul 19 08:11:45 2008 begin with 70800063 relations and 51945735 unique ideals Sat Jul 19 08:13:34 2008 reduce to 70783773 relations and 51101033 ideals in 4 passes Sat Jul 19 08:13:34 2008 max relations containing the same ideal: 19 Sat Jul 19 08:15:33 2008 removing 1247409 relations and 847409 ideals in 400000 cliques Sat Jul 19 08:15:37 2008 commencing in-memory singleton removal Sat Jul 19 08:15:59 2008 begin with 69536364 relations and 51101033 unique ideals Sat Jul 19 08:18:12 2008 reduce to 69521189 relations and 50238296 ideals in 5 passes Sat Jul 19 08:18:12 2008 max relations containing the same ideal: 19 Sat Jul 19 08:20:08 2008 removing 1240077 relations and 840077 ideals in 400000 cliques Sat Jul 19 08:20:12 2008 commencing in-memory singleton removal Sat Jul 19 08:20:33 2008 begin with 68281112 relations and 50238296 unique ideals Sat Jul 19 08:22:45 2008 reduce to 68266192 relations and 49383189 ideals in 5 passes Sat Jul 19 08:22:45 2008 max relations containing the same ideal: 19 Sat Jul 19 08:24:39 2008 removing 1232257 relations and 832257 ideals in 400000 cliques Sat Jul 19 08:24:43 2008 commencing in-memory singleton removal Sat Jul 19 08:25:02 2008 begin with 67033935 relations and 49383189 unique ideals Sat Jul 19 08:26:45 2008 reduce to 67018472 relations and 48535357 ideals in 4 passes Sat Jul 19 08:26:45 2008 max relations containing the same ideal: 19 Sat Jul 19 08:28:38 2008 removing 1232987 relations and 832987 ideals in 400000 cliques Sat Jul 19 08:28:42 2008 commencing in-memory singleton removal Sat Jul 19 08:29:02 2008 begin with 65785485 relations and 48535357 unique ideals Sat Jul 19 08:30:41 2008 reduce to 65769825 relations and 47686573 ideals in 4 passes Sat Jul 19 08:30:41 2008 max relations containing the same ideal: 19 Sat Jul 19 08:32:33 2008 removing 1229557 relations and 829557 ideals in 400000 cliques Sat Jul 19 08:32:36 2008 commencing in-memory singleton removal Sat Jul 19 08:32:54 2008 begin with 64540268 relations and 47686573 unique ideals Sat Jul 19 08:34:33 2008 reduce to 64523689 relations and 46840311 ideals in 4 passes Sat Jul 19 08:34:33 2008 max relations containing the same ideal: 19 Sat Jul 19 08:36:21 2008 removing 1228174 relations and 828174 ideals in 400000 cliques Sat Jul 19 08:36:24 2008 commencing in-memory singleton removal Sat Jul 19 08:36:43 2008 begin with 63295515 relations and 46840311 unique ideals Sat Jul 19 08:38:19 2008 reduce to 63278577 relations and 45995050 ideals in 4 passes Sat Jul 19 08:38:19 2008 max relations containing the same ideal: 19 Sat Jul 19 08:40:06 2008 removing 1228053 relations and 828053 ideals in 400000 cliques Sat Jul 19 08:40:08 2008 commencing in-memory singleton removal Sat Jul 19 08:40:27 2008 begin with 62050524 relations and 45995050 unique ideals Sat Jul 19 08:42:23 2008 reduce to 62032640 relations and 45148961 ideals in 5 passes Sat Jul 19 08:42:23 2008 max relations containing the same ideal: 19 Sat Jul 19 08:44:06 2008 removing 1228033 relations and 828033 ideals in 400000 cliques Sat Jul 19 08:44:09 2008 commencing in-memory singleton removal Sat Jul 19 08:44:27 2008 begin with 60804607 relations and 45148961 unique ideals Sat Jul 19 08:45:59 2008 reduce to 60786314 relations and 44302440 ideals in 4 passes Sat Jul 19 08:45:59 2008 max relations containing the same ideal: 19 Sat Jul 19 08:47:40 2008 removing 1227435 relations and 827435 ideals in 400000 cliques Sat Jul 19 08:47:43 2008 commencing in-memory singleton removal Sat Jul 19 08:48:02 2008 begin with 59558879 relations and 44302440 unique ideals Sat Jul 19 08:49:30 2008 reduce to 59540007 relations and 43455942 ideals in 4 passes Sat Jul 19 08:49:30 2008 max relations containing the same ideal: 19 Sat Jul 19 08:51:10 2008 removing 1228415 relations and 828415 ideals in 400000 cliques Sat Jul 19 08:51:13 2008 commencing in-memory singleton removal Sat Jul 19 08:51:30 2008 begin with 58311592 relations and 43455942 unique ideals Sat Jul 19 08:52:57 2008 reduce to 58292205 relations and 42607925 ideals in 4 passes Sat Jul 19 08:52:57 2008 max relations containing the same ideal: 19 Sat Jul 19 08:54:34 2008 removing 1228696 relations and 828696 ideals in 400000 cliques Sat Jul 19 08:54:37 2008 commencing in-memory singleton removal Sat Jul 19 08:54:53 2008 begin with 57063509 relations and 42607925 unique ideals Sat Jul 19 08:56:40 2008 reduce to 57043309 relations and 41758840 ideals in 5 passes Sat Jul 19 08:56:40 2008 max relations containing the same ideal: 19 Sat Jul 19 08:58:14 2008 removing 1230545 relations and 830545 ideals in 400000 cliques Sat Jul 19 08:58:17 2008 commencing in-memory singleton removal Sat Jul 19 08:58:33 2008 begin with 55812764 relations and 41758840 unique ideals Sat Jul 19 09:00:17 2008 reduce to 55791703 relations and 40907028 ideals in 5 passes Sat Jul 19 09:00:17 2008 max relations containing the same ideal: 19 Sat Jul 19 09:01:48 2008 removing 1231653 relations and 831653 ideals in 400000 cliques Sat Jul 19 09:01:52 2008 commencing in-memory singleton removal Sat Jul 19 09:02:09 2008 begin with 54560050 relations and 40907028 unique ideals Sat Jul 19 09:03:49 2008 reduce to 54538573 relations and 40053661 ideals in 5 passes Sat Jul 19 09:03:49 2008 max relations containing the same ideal: 19 Sat Jul 19 09:05:19 2008 removing 1233792 relations and 833792 ideals in 400000 cliques Sat Jul 19 09:05:22 2008 commencing in-memory singleton removal Sat Jul 19 09:05:37 2008 begin with 53304781 relations and 40053661 unique ideals Sat Jul 19 09:07:15 2008 reduce to 53282152 relations and 39196990 ideals in 5 passes Sat Jul 19 09:07:15 2008 max relations containing the same ideal: 19 Sat Jul 19 09:08:43 2008 removing 1235004 relations and 835004 ideals in 400000 cliques Sat Jul 19 09:08:46 2008 commencing in-memory singleton removal Sat Jul 19 09:09:00 2008 begin with 52047148 relations and 39196990 unique ideals Sat Jul 19 09:10:36 2008 reduce to 52023703 relations and 38338302 ideals in 5 passes Sat Jul 19 09:10:36 2008 max relations containing the same ideal: 19 Sat Jul 19 09:12:01 2008 removing 1244034 relations and 844034 ideals in 400000 cliques Sat Jul 19 09:12:04 2008 commencing in-memory singleton removal Sat Jul 19 09:12:18 2008 begin with 50779669 relations and 38338302 unique ideals Sat Jul 19 09:13:32 2008 reduce to 50756148 relations and 37470521 ideals in 4 passes Sat Jul 19 09:13:32 2008 max relations containing the same ideal: 19 Sat Jul 19 09:14:56 2008 removing 1249395 relations and 849395 ideals in 400000 cliques Sat Jul 19 09:14:58 2008 commencing in-memory singleton removal Sat Jul 19 09:15:13 2008 begin with 49506753 relations and 37470521 unique ideals Sat Jul 19 09:16:42 2008 reduce to 49483157 relations and 36597298 ideals in 5 passes Sat Jul 19 09:16:42 2008 max relations containing the same ideal: 18 Sat Jul 19 09:18:03 2008 removing 1253095 relations and 853095 ideals in 400000 cliques Sat Jul 19 09:18:06 2008 commencing in-memory singleton removal Sat Jul 19 09:18:19 2008 begin with 48230062 relations and 36597298 unique ideals Sat Jul 19 09:19:47 2008 reduce to 48205299 relations and 35719187 ideals in 5 passes Sat Jul 19 09:19:47 2008 max relations containing the same ideal: 18 Sat Jul 19 09:21:04 2008 removing 1257646 relations and 857646 ideals in 400000 cliques Sat Jul 19 09:21:07 2008 commencing in-memory singleton removal Sat Jul 19 09:21:20 2008 begin with 46947653 relations and 35719187 unique ideals Sat Jul 19 09:22:45 2008 reduce to 46922650 relations and 34836280 ideals in 5 passes Sat Jul 19 09:22:45 2008 max relations containing the same ideal: 17 Sat Jul 19 09:24:01 2008 removing 423597 relations and 314263 ideals in 109334 cliques Sat Jul 19 09:24:03 2008 commencing in-memory singleton removal Sat Jul 19 09:24:17 2008 begin with 46499053 relations and 34836280 unique ideals Sat Jul 19 09:25:24 2008 reduce to 46496634 relations and 34519593 ideals in 4 passes Sat Jul 19 09:25:24 2008 max relations containing the same ideal: 17 Sat Jul 19 09:25:41 2008 relations with 0 large ideals: 999588 Sat Jul 19 09:25:41 2008 relations with 1 large ideals: 5624319 Sat Jul 19 09:25:41 2008 relations with 2 large ideals: 13082305 Sat Jul 19 09:25:41 2008 relations with 3 large ideals: 15215153 Sat Jul 19 09:25:41 2008 relations with 4 large ideals: 8989033 Sat Jul 19 09:25:41 2008 relations with 5 large ideals: 2436840 Sat Jul 19 09:25:41 2008 relations with 6 large ideals: 145519 Sat Jul 19 09:25:41 2008 relations with 7+ large ideals: 3877 Sat Jul 19 09:25:41 2008 commencing 2-way merge Sat Jul 19 09:27:12 2008 reduce to 34301850 relation sets and 22324809 unique ideals Sat Jul 19 09:27:12 2008 commencing full merge Sat Jul 19 09:41:52 2008 memory use: 2016.3 MB Sat Jul 19 09:41:54 2008 found 17866764 cycles, need 16215009 Sat Jul 19 09:42:13 2008 weight of 16215009 cycles is about 1135237050 (70.01/cycle) Sat Jul 19 09:42:13 2008 distribution of cycle lengths: Sat Jul 19 09:42:13 2008 1 relations: 1637542 Sat Jul 19 09:42:13 2008 2 relations: 1895179 Sat Jul 19 09:42:13 2008 3 relations: 2184076 Sat Jul 19 09:42:13 2008 4 relations: 2230753 Sat Jul 19 09:42:13 2008 5 relations: 2135547 Sat Jul 19 09:42:13 2008 6 relations: 1894100 Sat Jul 19 09:42:13 2008 7 relations: 1586307 Sat Jul 19 09:42:13 2008 8 relations: 1245676 Sat Jul 19 09:42:13 2008 9 relations: 911487 Sat Jul 19 09:42:13 2008 10+ relations: 494342 Sat Jul 19 09:42:13 2008 heaviest cycle: 11 relations Sat Jul 19 09:42:20 2008 commencing cycle optimization Sat Jul 19 09:45:54 2008 start with 77165053 relations Sat Jul 19 09:53:00 2008 pruned 1779867 relations Sat Jul 19 09:53:02 2008 memory use: 2587.9 MB Sat Jul 19 09:53:02 2008 distribution of cycle lengths: Sat Jul 19 09:53:02 2008 1 relations: 1637542 Sat Jul 19 09:53:02 2008 2 relations: 1939074 Sat Jul 19 09:53:02 2008 3 relations: 2270937 Sat Jul 19 09:53:02 2008 4 relations: 2302502 Sat Jul 19 09:53:02 2008 5 relations: 2217872 Sat Jul 19 09:53:02 2008 6 relations: 1940275 Sat Jul 19 09:53:02 2008 7 relations: 1599324 Sat Jul 19 09:53:02 2008 8 relations: 1189560 Sat Jul 19 09:53:02 2008 9 relations: 777323 Sat Jul 19 09:53:02 2008 10+ relations: 340600 Sat Jul 19 09:53:02 2008 heaviest cycle: 11 relations Sat Jul 19 09:54:35 2008 Sat Jul 19 09:54:59 2008 commencing linear algebra Sat Jul 19 09:55:04 2008 read 16215009 cycles Sat Jul 19 10:04:14 2008 cycles contain 42315567 unique relations Sat Jul 19 10:13:29 2008 read 42315567 relations Sat Jul 19 10:18:34 2008 using 32 quadratic characters above 2147483324 Sat Jul 19 10:29:20 2008 building initial matrix Sat Jul 19 11:23:33 2008 memory use: 5654.1 MB Sat Jul 19 11:23:58 2008 read 16215009 cycles Sat Jul 19 11:24:25 2008 matrix is 16214383 x 16215009 (4847.8 MB) with weight 1519044866 (93.68/col) Sat Jul 19 11:24:25 2008 sparse part has weight 1092464649 (67.37/col) Sat Jul 19 11:49:39 2008 filtering completed in 3 passes Sat Jul 19 11:49:51 2008 matrix is 16180833 x 16181033 (4843.7 MB) with weight 1517487773 (93.78/col) Sat Jul 19 11:49:51 2008 sparse part has weight 1091751822 (67.47/col) Sat Jul 19 11:54:19 2008 read 16181033 cycles Sat Jul 19 11:54:48 2008 matrix is 16180833 x 16181033 (4843.7 MB) with weight 1517487773 (93.78/col) Sat Jul 19 11:54:48 2008 sparse part has weight 1091751822 (67.47/col) Sat Jul 19 11:54:49 2008 saving the first 48 matrix rows for later Sat Jul 19 11:55:12 2008 matrix is 16180785 x 16181033 (4660.9 MB) with weight 1162384107 (71.84/col) Sat Jul 19 11:55:12 2008 sparse part has weight 1060018308 (65.51/col) Sat Jul 19 11:55:12 2008 matrix includes 64 packed rows Sat Jul 19 11:55:12 2008 using block size 65536 for processor cache size 2048 kB Sat Jul 19 11:57:46 2008 commencing Lanczos iteration (8 threads) Sat Jul 19 11:57:46 2008 memory use: 5452.8 MB Thu Jul 24 16:24:13 2008 lanczos halted after 16568 iterations (dim = 1047680) ... a couple of restarts snipped Sun Aug 24 16:19:14 2008 Sun Aug 24 16:19:14 2008 Msieve v. 1.36 Sun Aug 24 16:19:14 2008 random seeds: 84e7547f 57b0a0a8 Sun Aug 24 16:19:14 2008 factoring 57823107992545343406508802644793776217349991672441101832540692222341223600671977249931864488825675205074867299789740817818906114026443735649106946666018698025924531075083595379471972688621962427375143888479178878248802645000340750466579938610332181 (248 digits) Sun Aug 24 16:19:18 2008 no P-1/P+1/ECM available, skipping Sun Aug 24 16:19:18 2008 commencing number field sieve (248-digit input) Sun Aug 24 16:19:18 2008 R0: -88124787089723195184393736687912818113311201 Sun Aug 24 16:19:18 2008 R1: 1 Sun Aug 24 16:19:18 2008 A0: -1 Sun Aug 24 16:19:18 2008 A1: 0 Sun Aug 24 16:19:18 2008 A2: 0 Sun Aug 24 16:19:18 2008 A3: 0 Sun Aug 24 16:19:18 2008 A4: 0 Sun Aug 24 16:19:18 2008 A5: 0 Sun Aug 24 16:19:18 2008 A6: 7 Sun Aug 24 16:19:18 2008 size score = 1.039841e-12, Murphy alpha = 1.681313, combined = 6.431948e-13 Sun Aug 24 16:19:18 2008 Sun Aug 24 16:19:18 2008 commencing linear algebra Sun Aug 24 16:19:30 2008 read 16181033 cycles Sun Aug 24 16:23:40 2008 matrix is 16180833 x 16181033 (4843.7 MB) with weight 1517487773 (93.78/col) Sun Aug 24 16:23:40 2008 sparse part has weight 1091751822 (67.47/col) Sun Aug 24 16:23:41 2008 saving the first 48 matrix rows for later Sun Aug 24 16:24:00 2008 matrix is 16180785 x 16181033 (4660.9 MB) with weight 1162384107 (71.84/col) Sun Aug 24 16:24:01 2008 sparse part has weight 1060018308 (65.51/col) Sun Aug 24 16:24:01 2008 matrix includes 64 packed rows Sun Aug 24 16:24:01 2008 using block size 65536 for processor cache size 2048 kB Sun Aug 24 16:26:28 2008 commencing Lanczos iteration (8 threads) Sun Aug 24 16:26:28 2008 memory use: 5452.8 MB Sun Aug 24 16:26:36 2008 restarting at iteration 103421 (dim = 6539816) Thu Oct 9 21:34:03 2008 lanczos halted after 255874 iterations (dim = 16180783) Thu Oct 9 21:35:10 2008 recovered 47 nontrivial dependencies Thu Oct 9 21:35:11 2008 Thu Oct 9 21:35:11 2008 commencing square root phase Thu Oct 9 21:35:11 2008 reading relations for dependency 1 Thu Oct 9 21:35:20 2008 read 8088777 cycles Thu Oct 9 21:37:52 2008 cycles contain 26140823 unique relations Thu Oct 9 21:46:50 2008 read 26140823 relations Thu Oct 9 22:03:17 2008 multiplying 37665366 relations ... switching to 1.38 for the square roots Fri Oct 10 00:20:42 2008 Fri Oct 10 00:20:42 2008 Fri Oct 10 00:20:42 2008 Msieve v. 1.38 Fri Oct 10 00:20:42 2008 random seeds: 6630c786 9df88613 Fri Oct 10 00:20:42 2008 factoring 57823107992545343406508802644793776217349991672441101832540692222341223600671977249931864488825675205074867299789740817818906114026443735649106946666018698025924531075083595379471972688621962427375143888479178878248802645000340750466579938610332181 (248 digits) Fri Oct 10 00:20:46 2008 no P-1/P+1/ECM available, skipping Fri Oct 10 00:20:46 2008 commencing number field sieve (248-digit input) Fri Oct 10 00:20:46 2008 R0: -88124787089723195184393736687912818113311201 Fri Oct 10 00:20:46 2008 R1: 1 Fri Oct 10 00:20:46 2008 A0: -1 Fri Oct 10 00:20:46 2008 A1: 0 Fri Oct 10 00:20:46 2008 A2: 0 Fri Oct 10 00:20:46 2008 A3: 0 Fri Oct 10 00:20:46 2008 A4: 0 Fri Oct 10 00:20:46 2008 A5: 0 Fri Oct 10 00:20:46 2008 A6: 7 Fri Oct 10 00:20:46 2008 size score = 1.039841e-12, Murphy alpha = 1.681313, combined = 6.431948e-13 Fri Oct 10 00:20:46 2008 Fri Oct 10 00:20:46 2008 commencing square root phase Fri Oct 10 00:20:46 2008 reading relations for dependency 1 Fri Oct 10 00:20:52 2008 read 8088777 cycles Fri Oct 10 00:23:09 2008 cycles contain 26140823 unique relations Fri Oct 10 00:30:19 2008 read 26140823 relations Fri Oct 10 00:42:01 2008 multiplying 21145106 relations Fri Oct 10 02:20:50 2008 multiply complete, coefficients have about 610.23 million bits Fri Oct 10 02:21:10 2008 initial square root is modulo 298411 Fri Oct 10 05:20:37 2008 reading relations for dependency 2 Fri Oct 10 05:20:40 2008 read 8093407 cycles Fri Oct 10 05:22:47 2008 cycles contain 26151379 unique relations Fri Oct 10 05:28:48 2008 read 26151379 relations Fri Oct 10 05:39:22 2008 multiplying 21154448 relations Fri Oct 10 07:14:28 2008 multiply complete, coefficients have about 610.50 million bits Fri Oct 10 07:14:48 2008 initial square root is modulo 300043 Fri Oct 10 10:10:50 2008 prp84 factor: 100707418948601015389903497323129388114895443319589120732359180091169312420663896659 Fri Oct 10 10:10:50 2008 prp165 factor: 574169297517763436010749571172292640765521475172549868061159723975666875370060431763226577912857419345824216670441733351082842048508826151521307669341652883423552759 Fri Oct 10 10:10:50 2008 elapsed time 09:50:08[/CODE] |
[QUOTE=bdodson;136684]Uhm, so how much trouble am I in when the msieve matrix step
reports [code] linear algebra completed 15554069 out of 15479770 dimensions (100.5%) [/code] Any chance that running a bit longer will give dependencies? Or is it time to restart, from the filtering step? -Bruce[/QUOTE] The answer to the above was some more filtering, then re-running, which worked well. The number was a little under-sieved by C/D standards. Not so today's number, which was well over-sieved. A new (to me) 1.36 error message. I have some old checkpoint files from which I could re-resume. This is in /tmp on a public machine, so something could have gotten corrupted. Maybe try new copies of the .dat.* files? -Bruce [QUOTE] Wed Oct 22 10:22:43 2008 Msieve v. 1.36 Wed Oct 22 10:22:43 2008 random seeds: 18ee4a28 ecf6fbfa Wed Oct 22 10:22:43 2008 factoring 140143233788391662452429369261365739864066680468767165333931912209073478199688152051519397027604260864607687684941271578715966808412817141243323172823378716710673041576729696645630513166955025926346421218242895748542260959270764327149755079125954280480903 (255 digits) Wed Oct 22 10:22:47 2008 no P-1/P+1/ECM available, skipping Wed Oct 22 10:22:47 2008 commencing number field sieve (255-digit input) Wed Oct 22 10:22:47 2008 R0: -11150372599265311570767859136324180752990208 Wed Oct 22 10:22:47 2008 R1: 1 Wed Oct 22 10:22:47 2008 A0: -2 Wed Oct 22 10:22:47 2008 A1: 0 Wed Oct 22 10:22:47 2008 A2: 0 Wed Oct 22 10:22:47 2008 A3: 0 Wed Oct 22 10:22:47 2008 A4: 0 Wed Oct 22 10:22:47 2008 A5: 0 Wed Oct 22 10:22:47 2008 A6: 1 Wed Oct 22 10:22:47 2008 size score = 2.390542e-12, Murphy alpha = 2.481548, combined = 1.176456e-12 Wed Oct 22 10:22:47 2008 Wed Oct 22 10:22:47 2008 commencing linear algebra Wed Oct 22 10:22:53 2008 read 13938310 cycles Wed Oct 22 10:23:55 2008 matrix is 13938111 x 13938310 (3881.1 MB) with weight 1208729105 (86.72/col) Wed Oct 22 10:23:55 2008 sparse part has weight 864082055 (61.99/col) Wed Oct 22 10:23:55 2008 saving the first 48 matrix rows for later Wed Oct 22 10:24:04 2008 matrix is 13938063 x 13938310 (3726.3 MB) with weight 913983716 (65.57/col) Wed Oct 22 10:24:05 2008 sparse part has weight 837440199 (60.08/col) Wed Oct 22 10:24:05 2008 matrix includes 64 packed rows Wed Oct 22 10:24:05 2008 using block size 65536 for processor cache size 6144 kB Wed Oct 22 10:28:05 2008 commencing Lanczos iteration (4 threads) Wed Oct 22 10:28:05 2008 memory use: 4012.1 MB Wed Oct 22 10:28:06 2008 restarting at iteration 170401 (dim = 10775192) Mon Oct 27 03:57:12 2008 lanczos error (dim = 13937974): not all columns used Mon Oct 27 03:57:12 2008 lanczos halted after 220419 iterations (dim = 13937974) Mon Oct 27 03:57:12 2008 linear algebra failed; retrying... Mon Oct 27 03:57:12 2008 commencing Lanczos iteration (4 threads) Mon Oct 27 03:57:12 2008 memory use: 4012.1 MB Mon Oct 27 03:57:13 2008 restarting at iteration 219439 (dim = 13876087) Mon Oct 27 06:10:49 2008 lanczos error (dim = 13937974): not all columns used Mon Oct 27 06:10:49 2008 lanczos halted after 220419 iterations (dim = 13937974) Mon Oct 27 06:10:49 2008 linear algebra failed; retrying... Mon Oct 27 06:10:49 2008 commencing Lanczos iteration (4 threads) Mon Oct 27 06:10:49 2008 memory use: 4012.1 MB Mon Oct 27 06:10:49 2008 restarting at iteration 219440 (dim = 13876150) Mon Oct 27 08:24:06 2008 lanczos error (dim = 13937974): not all columns used Mon Oct 27 08:24:06 2008 lanczos halted after 220419 iterations (dim = 13937974) Mon Oct 27 08:24:06 2008 linear algebra failed; retrying... Mon Oct 27 08:24:06 2008 commencing Lanczos iteration (4 threads) Mon Oct 27 08:24:06 2008 memory use: 4012.1 MB Mon Oct 27 08:24:06 2008 restarting at iteration 219441 (dim = 13876213) Mon Oct 27 08:35:32 2008 lanczos halted after 219523 iterations (dim = 13881395) Mon Oct 27 08:35:33 2008 elapsed time 118:12:50 [/QUOTE] |
[QUOTE=bdodson;146773]
Wed Oct 22 10:28:06 2008 restarting at iteration 170401 (dim = 10775192) Mon Oct 27 03:57:12 2008 lanczos error (dim = 13937974): not all columns used Mon Oct 27 03:57:12 2008 lanczos halted after 220419 iterations (dim = 13937974) Mon Oct 27 03:57:12 2008 linear algebra failed; retrying... Mon Oct 27 03:57:12 2008 commencing Lanczos iteration (4 threads) Mon Oct 27 03:57:12 2008 memory use: 4012.1 MB Mon Oct 27 03:57:13 2008 restarting at iteration 219439 (dim = 13876087) Mon Oct 27 06:10:49 2008 lanczos error (dim = 13937974): not all columns used [/QUOTE] Restarting didn't work; I got [QUOTE] LA completed 13930196 of 13938310 dims (99.9%), 0.29 of 501.03 hrs left LA completed 13937785 of 13938310 dims (100.0%), 0.02 of 502.05 hrs left [/QUOTE] then [QUOTE] Mon Oct 27 08:42:49 2008 restarting at iteration 219523 (dim = 13881395) Mon Oct 27 10:45:14 2008 lanczos error (dim = 13937974): not all columns used Mon Oct 27 10:45:14 2008 lanczos halted after 220419 iterations (dim = 13937974) Mon Oct 27 10:45:14 2008 linear algebra failed; retrying... Mon Oct 27 10:45:14 2008 commencing Lanczos iteration (4 threads) Mon Oct 27 10:45:14 2008 memory use: 4012.1 MB Mon Oct 27 10:45:14 2008 restarting at iteration 219524 (dim = 13881458) [/QUOTE] -Bruce |
[QUOTE=bdodson;146773]A new (to me)
1.36 error message. I have some old checkpoint files from which I could re-resume. This is in /tmp on a public machine, so something could have gotten corrupted. Maybe try new copies of the .dat.* files? [/QUOTE] I think it's likely something is corrupted, or that old checkpoints are getting reused with an incompatible matrix, or something. It didn't occur to me before, but if you restart a failed run and it deposits a checkpoint file, then if the run fails and the code restarts automatically then it restarts from the checkpoint file, not from scratch. That's arguably the wrong thing to do. Kazumaro Aoki suggested at CADO that the linear algebra should verify the Lanczos orthogonality relations every so often, to immediately detect corrupted bits. Maybe I should build that in for large runs. It sucks that your run had been going for so long before problems appeared. |
[QUOTE=jasonp;146792] ...if the run fails and the code restarts automatically then it restarts from the checkpoint file, not from scratch. That's arguably the wrong thing to do.
Kazumaro Aoki suggested at CADO that the linear algebra should verify the Lanczos orthogonality relations every so often, to immediately detect corrupted bits. Maybe I should build that in for large runs. It sucks that your run had been going for so long before problems appeared.[/QUOTE] Well, 3 weeks isn't too long. I don't have space in /tmp for msieve.dat, and started from an initial checkpoint written just after the matrix build. I can re-copy the original msieve.dat.* files. My saved checkpoints are [QUOTE] 446029776 Oct 6 10:38 msieve-txd00ini.dat.chk 446029776 Oct 13 16:05 msieve-txd01.dat.chk-35.4 446029776 Oct 14 16:01 msieve-txd01a.dat.chk-40restrt 446029776 Oct 22 10:30 msieve-txd02.dat.chk-77.3 446029776 Oct 27 08:33 msieve.dat.chk-tmp [/QUOTE] of which the one today is corrupt (I over-wrote one from yesterday before noticing why the matrix was still running after my estimate for when it would finish). Any suggestions on how far back to go? Or maybe another 24 hours of sieving, and then a new _from_scratch? -Bruce |
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