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#67 |
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"Ben"
Feb 2007
3×1,171 Posts |
Three of the top 10 most wanted fall in the same day!
http://www.mersenneforum.org/showpos...3&postcount=27 http://www.mersenneforum.org/showpos...9&postcount=31 http://www.mersenneforum.org/showpos...7&postcount=62 Only one is left, that I can see: 10,232+ (C160). Anyone have sights on that? - ben. |
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#68 | |
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Nov 2003
22×5×373 Posts |
Quote:
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#69 |
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"Ben"
Feb 2007
3·1,171 Posts |
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#70 | |
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Nov 2003
746010 Posts |
Quote:
It's been a while since we heard from Bruce. IIRC, he said that the LA for 10,257+ should have been finished about a week ago.... An update would be nice. I am about 30% of the way through sieving 2,1538M. The LA for 2,1104+ will be done early next week. (but I am on vacation all week). I then plan on doing 3,517+ followed by 5,341- before returning to the base 2 tables. MY CPU resources are not large. |
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#71 |
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Jul 2003
So Cal
2×34×13 Posts |
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#72 |
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Nov 2003
22×5×373 Posts |
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#73 | |
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Jun 2005
lehigh.edu
40016 Posts |
Quote:
the Childers/Dodson (and Childers) project as an annex of NFSNET" (if Richard doesn't mind), and add a link & page for those factors. Also, the last I looked, "recent results" seemed clear; dating from when you started applying the 64-bit ggnfs lasieve. It's now been a while, and I'm wondering whether an occasional date [start, middle, just_done] would add some additional clarity? -Bruce |
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#74 | |
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Jun 2003
The Texas Hill Country
32·112 Posts |
Quote:
(I certainly have no objection. Childers & Dodson are, after all, principal contributors to the NFSNet effort and I would hope that we can make some progress on the unification of the sieving efforts so that we can have an effective collaboration on additional difficult factorizations. |
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#75 |
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Jul 2003
So Cal
210610 Posts |
10,241- is done.
![]() Greg Code:
Mon Jun 16 22:31:00 2008 Msieve v. 1.36 Mon Jun 16 22:31:00 2008 random seeds: aa4894da 92df2cbb Mon Jun 16 22:31:00 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits) Mon Jun 16 22:31:03 2008 no P-1/P+1/ECM available, skipping Mon Jun 16 22:31:03 2008 commencing number field sieve (229-digit input) Mon Jun 16 22:31:03 2008 R0: -1 Mon Jun 16 22:31:03 2008 R1: 10000000000000000000000000000000000000000 Mon Jun 16 22:31:03 2008 A0: -10 Mon Jun 16 22:31:03 2008 A1: 0 Mon Jun 16 22:31:03 2008 A2: 0 Mon Jun 16 22:31:03 2008 A3: 0 Mon Jun 16 22:31:03 2008 A4: 0 Mon Jun 16 22:31:03 2008 A5: 0 Mon Jun 16 22:31:03 2008 A6: 1 Mon Jun 16 22:31:03 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12 Mon Jun 16 22:31:39 2008 restarting with 97929914 relations Mon Jun 16 22:31:43 2008 added 45949 free relations Mon Jun 16 22:31:43 2008 Mon Jun 16 22:31:43 2008 commencing relation filtering Mon Jun 16 22:31:43 2008 commencing duplicate removal, pass 1 Mon Jun 16 22:31:52 2008 error -6 reading relation 880510 Mon Jun 16 22:34:02 2008 error -6 reading relation 13109615 Mon Jun 16 22:35:10 2008 error -11 reading relation 19525260 Mon Jun 16 22:35:20 2008 error -11 reading relation 20512344 Mon Jun 16 22:36:04 2008 error -11 reading relation 24635009 Mon Jun 16 22:36:25 2008 error -6 reading relation 26588266 Mon Jun 16 22:37:41 2008 error -11 reading relation 33653644 Mon Jun 16 22:37:44 2008 error -11 reading relation 33862225 Mon Jun 16 22:38:12 2008 error -1 reading relation 36520963 Mon Jun 16 22:38:15 2008 error -11 reading relation 36836043 Mon Jun 16 22:44:39 2008 error -11 reading relation 72680039 Mon Jun 16 22:45:18 2008 error -11 reading relation 76332294 Mon Jun 16 22:45:31 2008 error -11 reading relation 77483888 Mon Jun 16 22:46:47 2008 error -15 reading relation 85601243 Mon Jun 16 22:48:43 2008 found 14219176 hash collisions in 97975849 relations Mon Jun 16 22:48:43 2008 commencing duplicate removal, pass 2 Mon Jun 16 22:51:57 2008 found 1 duplicates and 97975848 unique relations Mon Jun 16 22:51:57 2008 memory use: 504.8 MB Mon Jun 16 22:52:24 2008 ignoring smallest 3001346 rational and 2999594 algebraic ideals Mon Jun 16 22:52:24 2008 filtering rational ideals above 50003968 Mon Jun 16 22:52:24 2008 filtering algebraic ideals above 50003968 Mon Jun 16 22:52:24 2008 need 9001410 more relations than ideals Mon Jun 16 22:52:24 2008 commencing singleton removal, pass 1 Mon Jun 16 23:11:05 2008 relations with 0 large ideals: 518306 Mon Jun 16 23:11:05 2008 relations with 1 large ideals: 4126663 Mon Jun 16 23:11:05 2008 relations with 2 large ideals: 15218709 Mon Jun 16 23:11:05 2008 relations with 3 large ideals: 30384139 Mon Jun 16 23:11:05 2008 relations with 4 large ideals: 32296130 Mon Jun 16 23:11:05 2008 relations with 5 large ideals: 15431901 Mon Jun 16 23:11:05 2008 relations with 6 large ideals: 0 Mon Jun 16 23:11:05 2008 relations with 7+ large ideals: 0 Mon Jun 16 23:11:05 2008 97975848 relations and about 63391368 large ideals Mon Jun 16 23:11:05 2008 commencing singleton removal, pass 2 Mon Jun 16 23:29:45 2008 found 13855465 singletons Mon Jun 16 23:29:45 2008 current dataset: 84120383 relations and about 48722676 large ideals Mon Jun 16 23:29:45 2008 commencing singleton removal, pass 3 Mon Jun 16 23:46:02 2008 relations with 0 large ideals: 518306 Mon Jun 16 23:46:02 2008 relations with 1 large ideals: 3953220 Mon Jun 16 23:46:02 2008 relations with 2 large ideals: 13931311 Mon Jun 16 23:46:02 2008 relations with 3 large ideals: 26563585 Mon Jun 16 23:46:02 2008 relations with 4 large ideals: 26906265 Mon Jun 16 23:46:02 2008 relations with 5 large ideals: 12247696 Mon Jun 16 23:46:02 2008 relations with 6 large ideals: 0 Mon Jun 16 23:46:02 2008 relations with 7+ large ideals: 0 Mon Jun 16 23:46:02 2008 84120383 relations and about 61219940 large ideals Mon Jun 16 23:46:02 2008 commencing singleton removal, pass 4 Tue Jun 17 00:02:19 2008 found 11588380 singletons Tue Jun 17 00:02:19 2008 current dataset: 72532003 relations and about 48969086 large ideals Tue Jun 17 00:02:19 2008 commencing singleton removal, pass 5 Tue Jun 17 00:16:25 2008 found 2178461 singletons Tue Jun 17 00:16:25 2008 current dataset: 70353542 relations and about 46762931 large ideals Tue Jun 17 00:16:25 2008 commencing singleton removal, pass 6 Tue Jun 17 00:30:07 2008 found 363225 singletons Tue Jun 17 00:30:07 2008 current dataset: 69990317 relations and about 46398844 large ideals Tue Jun 17 00:30:07 2008 commencing singleton removal, final pass Tue Jun 17 00:49:55 2008 memory use: 1404.4 MB Tue Jun 17 00:49:55 2008 commencing in-memory singleton removal Tue Jun 17 00:50:10 2008 begin with 69990317 relations and 54046835 unique ideals Tue Jun 17 00:54:34 2008 reduce to 63643114 relations and 47568829 ideals in 15 passes Tue Jun 17 00:54:34 2008 max relations containing the same ideal: 34 Tue Jun 17 00:55:58 2008 removing 2892106 relations and 2492106 ideals in 400000 cliques Tue Jun 17 00:56:01 2008 commencing in-memory singleton removal Tue Jun 17 00:56:14 2008 begin with 60751008 relations and 47568829 unique ideals Tue Jun 17 00:58:06 2008 reduce to 60685119 relations and 45010316 ideals in 7 passes Tue Jun 17 00:58:06 2008 max relations containing the same ideal: 33 Tue Jun 17 00:59:20 2008 removing 2160260 relations and 1760260 ideals in 400000 cliques Tue Jun 17 00:59:23 2008 commencing in-memory singleton removal Tue Jun 17 00:59:35 2008 begin with 58524859 relations and 45010316 unique ideals Tue Jun 17 01:01:08 2008 reduce to 58483516 relations and 43208434 ideals in 6 passes Tue Jun 17 01:01:08 2008 max relations containing the same ideal: 33 Tue Jun 17 01:02:18 2008 removing 1925286 relations and 1525286 ideals in 400000 cliques Tue Jun 17 01:02:21 2008 commencing in-memory singleton removal Tue Jun 17 01:02:32 2008 begin with 56558230 relations and 43208434 unique ideals Tue Jun 17 01:04:01 2008 reduce to 56523693 relations and 41648415 ideals in 6 passes Tue Jun 17 01:04:01 2008 max relations containing the same ideal: 33 Tue Jun 17 01:05:09 2008 removing 1781936 relations and 1381936 ideals in 400000 cliques Tue Jun 17 01:05:11 2008 commencing in-memory singleton removal Tue Jun 17 01:05:22 2008 begin with 54741757 relations and 41648415 unique ideals Tue Jun 17 01:06:48 2008 reduce to 54710002 relations and 40234540 ideals in 6 passes Tue Jun 17 01:06:48 2008 max relations containing the same ideal: 32 Tue Jun 17 01:07:53 2008 removing 1690120 relations and 1290120 ideals in 400000 cliques Tue Jun 17 01:07:56 2008 commencing in-memory singleton removal Tue Jun 17 01:08:07 2008 begin with 53019882 relations and 40234540 unique ideals Tue Jun 17 01:09:16 2008 reduce to 52989977 relations and 38914344 ideals in 5 passes Tue Jun 17 01:09:16 2008 max relations containing the same ideal: 31 Tue Jun 17 01:10:18 2008 removing 1618411 relations and 1218411 ideals in 400000 cliques Tue Jun 17 01:10:20 2008 commencing in-memory singleton removal Tue Jun 17 01:10:31 2008 begin with 51371566 relations and 38914344 unique ideals Tue Jun 17 01:11:38 2008 reduce to 51343933 relations and 37668121 ideals in 5 passes Tue Jun 17 01:11:38 2008 max relations containing the same ideal: 31 Tue Jun 17 01:12:38 2008 removing 1564464 relations and 1164464 ideals in 400000 cliques Tue Jun 17 01:12:40 2008 commencing in-memory singleton removal Tue Jun 17 01:12:51 2008 begin with 49779469 relations and 37668121 unique ideals Tue Jun 17 01:14:07 2008 reduce to 49752272 relations and 36476291 ideals in 6 passes Tue Jun 17 01:14:07 2008 max relations containing the same ideal: 31 Tue Jun 17 01:15:05 2008 removing 1523096 relations and 1123096 ideals in 400000 cliques Tue Jun 17 01:15:08 2008 commencing in-memory singleton removal Tue Jun 17 01:15:17 2008 begin with 48229176 relations and 36476291 unique ideals Tue Jun 17 01:16:31 2008 reduce to 48202203 relations and 35326024 ideals in 6 passes Tue Jun 17 01:16:31 2008 max relations containing the same ideal: 29 Tue Jun 17 01:17:28 2008 removing 1470493 relations and 1070493 ideals in 400000 cliques Tue Jun 17 01:17:30 2008 commencing in-memory singleton removal Tue Jun 17 01:17:39 2008 begin with 46731710 relations and 35326024 unique ideals Tue Jun 17 01:18:51 2008 reduce to 46702329 relations and 34225927 ideals in 6 passes Tue Jun 17 01:18:51 2008 max relations containing the same ideal: 28 Tue Jun 17 01:19:45 2008 removing 1447250 relations and 1047250 ideals in 400000 cliques Tue Jun 17 01:19:47 2008 commencing in-memory singleton removal Tue Jun 17 01:19:56 2008 begin with 45255079 relations and 34225927 unique ideals Tue Jun 17 01:21:05 2008 reduce to 45229049 relations and 33152453 ideals in 6 passes Tue Jun 17 01:21:05 2008 max relations containing the same ideal: 28 Tue Jun 17 01:21:58 2008 removing 1415640 relations and 1015640 ideals in 400000 cliques Tue Jun 17 01:22:00 2008 commencing in-memory singleton removal Tue Jun 17 01:22:09 2008 begin with 43813409 relations and 33152453 unique ideals Tue Jun 17 01:23:04 2008 reduce to 43785927 relations and 32109090 ideals in 5 passes Tue Jun 17 01:23:04 2008 max relations containing the same ideal: 27 Tue Jun 17 01:23:55 2008 removing 1390505 relations and 990505 ideals in 400000 cliques Tue Jun 17 01:23:57 2008 commencing in-memory singleton removal Tue Jun 17 01:24:05 2008 begin with 42395422 relations and 32109090 unique ideals Tue Jun 17 01:24:58 2008 reduce to 42366364 relations and 31089270 ideals in 5 passes Tue Jun 17 01:24:58 2008 max relations containing the same ideal: 26 Tue Jun 17 01:25:47 2008 removing 1383139 relations and 983139 ideals in 400000 cliques Tue Jun 17 01:25:49 2008 commencing in-memory singleton removal Tue Jun 17 01:25:57 2008 begin with 40983225 relations and 31089270 unique ideals Tue Jun 17 01:26:48 2008 reduce to 40955082 relations and 30077759 ideals in 5 passes Tue Jun 17 01:26:48 2008 max relations containing the same ideal: 26 Tue Jun 17 01:27:35 2008 removing 1355153 relations and 955153 ideals in 400000 cliques Tue Jun 17 01:27:37 2008 commencing in-memory singleton removal Tue Jun 17 01:27:45 2008 begin with 39599929 relations and 30077759 unique ideals Tue Jun 17 01:28:34 2008 reduce to 39569718 relations and 29092132 ideals in 5 passes Tue Jun 17 01:28:34 2008 max relations containing the same ideal: 26 Tue Jun 17 01:29:20 2008 removing 1351342 relations and 951342 ideals in 400000 cliques Tue Jun 17 01:29:21 2008 commencing in-memory singleton removal Tue Jun 17 01:29:29 2008 begin with 38218376 relations and 29092132 unique ideals Tue Jun 17 01:30:16 2008 reduce to 38187806 relations and 28109919 ideals in 5 passes Tue Jun 17 01:30:16 2008 max relations containing the same ideal: 26 Tue Jun 17 01:31:00 2008 removing 1332230 relations and 932230 ideals in 400000 cliques Tue Jun 17 01:31:02 2008 commencing in-memory singleton removal Tue Jun 17 01:31:09 2008 begin with 36855576 relations and 28109919 unique ideals Tue Jun 17 01:31:54 2008 reduce to 36823946 relations and 27145683 ideals in 5 passes Tue Jun 17 01:31:54 2008 max relations containing the same ideal: 25 Tue Jun 17 01:32:36 2008 removing 1321420 relations and 921420 ideals in 400000 cliques Tue Jun 17 01:32:38 2008 commencing in-memory singleton removal Tue Jun 17 01:32:45 2008 begin with 35502526 relations and 27145683 unique ideals Tue Jun 17 01:33:28 2008 reduce to 35468788 relations and 26190157 ideals in 5 passes Tue Jun 17 01:33:28 2008 max relations containing the same ideal: 24 Tue Jun 17 01:34:09 2008 removing 963021 relations and 685801 ideals in 277220 cliques Tue Jun 17 01:34:10 2008 commencing in-memory singleton removal Tue Jun 17 01:34:17 2008 begin with 34505767 relations and 26190157 unique ideals Tue Jun 17 01:34:59 2008 reduce to 34487412 relations and 25485831 ideals in 5 passes Tue Jun 17 01:34:59 2008 max relations containing the same ideal: 24 Tue Jun 17 01:35:39 2008 filtering rational ideals above 720000 Tue Jun 17 01:35:39 2008 filtering algebraic ideals above 720000 Tue Jun 17 01:35:39 2008 need 115927 more relations than ideals Tue Jun 17 01:35:39 2008 commencing singleton removal, final pass Tue Jun 17 02:26:49 2008 keeping 49033496 ideals with weight <= 20, new excess is 4536273 Tue Jun 17 02:28:48 2008 memory use: 1864.8 MB Tue Jun 17 02:28:48 2008 commencing in-memory singleton removal Tue Jun 17 02:29:03 2008 begin with 63643114 relations and 49033496 unique ideals Tue Jun 17 02:29:40 2008 reduce to 63643111 relations and 49033493 ideals in 2 passes Tue Jun 17 02:29:40 2008 max relations containing the same ideal: 20 Tue Jun 17 02:31:09 2008 removing 2892128 relations and 2492128 ideals in 400000 cliques Tue Jun 17 02:31:13 2008 commencing in-memory singleton removal Tue Jun 17 02:31:27 2008 begin with 60750983 relations and 49033493 unique ideals Tue Jun 17 02:33:30 2008 reduce to 60685085 relations and 46474950 ideals in 7 passes Tue Jun 17 02:33:30 2008 max relations containing the same ideal: 20 Tue Jun 17 02:34:50 2008 removing 2160243 relations and 1760243 ideals in 400000 cliques Tue Jun 17 02:34:53 2008 commencing in-memory singleton removal Tue Jun 17 02:35:07 2008 begin with 58524842 relations and 46474950 unique ideals Tue Jun 17 02:36:48 2008 reduce to 58483487 relations and 44673075 ideals in 6 passes Tue Jun 17 02:36:48 2008 max relations containing the same ideal: 20 Tue Jun 17 02:38:05 2008 removing 1925350 relations and 1525350 ideals in 400000 cliques Tue Jun 17 02:38:07 2008 commencing in-memory singleton removal Tue Jun 17 02:38:20 2008 begin with 56558137 relations and 44673075 unique ideals Tue Jun 17 02:39:58 2008 reduce to 56523597 relations and 43112993 ideals in 6 passes Tue Jun 17 02:39:58 2008 max relations containing the same ideal: 20 Tue Jun 17 02:41:11 2008 removing 1781937 relations and 1381937 ideals in 400000 cliques Tue Jun 17 02:41:14 2008 commencing in-memory singleton removal Tue Jun 17 02:41:27 2008 begin with 54741660 relations and 43112993 unique ideals Tue Jun 17 02:43:00 2008 reduce to 54709885 relations and 41699095 ideals in 6 passes Tue Jun 17 02:43:00 2008 max relations containing the same ideal: 20 Tue Jun 17 02:44:12 2008 removing 1690083 relations and 1290083 ideals in 400000 cliques Tue Jun 17 02:44:14 2008 commencing in-memory singleton removal Tue Jun 17 02:44:26 2008 begin with 53019802 relations and 41699095 unique ideals Tue Jun 17 02:45:42 2008 reduce to 52989903 relations and 40378939 ideals in 5 passes Tue Jun 17 02:45:42 2008 max relations containing the same ideal: 20 Tue Jun 17 02:46:51 2008 removing 1618484 relations and 1218484 ideals in 400000 cliques Tue Jun 17 02:46:53 2008 commencing in-memory singleton removal Tue Jun 17 02:47:05 2008 begin with 51371419 relations and 40378939 unique ideals Tue Jun 17 02:48:18 2008 reduce to 51343725 relations and 39132579 ideals in 5 passes Tue Jun 17 02:48:18 2008 max relations containing the same ideal: 20 Tue Jun 17 02:49:24 2008 removing 1563992 relations and 1163992 ideals in 400000 cliques Tue Jun 17 02:49:27 2008 commencing in-memory singleton removal Tue Jun 17 02:49:38 2008 begin with 49779733 relations and 39132579 unique ideals Tue Jun 17 02:51:02 2008 reduce to 49752406 relations and 37941090 ideals in 6 passes Tue Jun 17 02:51:02 2008 max relations containing the same ideal: 20 Tue Jun 17 02:52:06 2008 removing 1523549 relations and 1123549 ideals in 400000 cliques Tue Jun 17 02:52:08 2008 commencing in-memory singleton removal Tue Jun 17 02:52:19 2008 begin with 48228857 relations and 37941090 unique ideals Tue Jun 17 02:53:40 2008 reduce to 48201963 relations and 36790449 ideals in 6 passes Tue Jun 17 02:53:40 2008 max relations containing the same ideal: 20 Tue Jun 17 02:54:42 2008 removing 1470394 relations and 1070394 ideals in 400000 cliques Tue Jun 17 02:54:44 2008 commencing in-memory singleton removal Tue Jun 17 02:54:55 2008 begin with 46731569 relations and 36790449 unique ideals Tue Jun 17 02:56:14 2008 reduce to 46702216 relations and 35690481 ideals in 6 passes Tue Jun 17 02:56:14 2008 max relations containing the same ideal: 20 Tue Jun 17 02:57:13 2008 removing 1447710 relations and 1047710 ideals in 400000 cliques Tue Jun 17 02:57:15 2008 commencing in-memory singleton removal Tue Jun 17 02:57:26 2008 begin with 45254506 relations and 35690481 unique ideals Tue Jun 17 02:58:41 2008 reduce to 45228568 relations and 34616645 ideals in 6 passes Tue Jun 17 02:58:41 2008 max relations containing the same ideal: 20 Tue Jun 17 02:59:39 2008 removing 1415817 relations and 1015817 ideals in 400000 cliques Tue Jun 17 02:59:41 2008 commencing in-memory singleton removal Tue Jun 17 02:59:51 2008 begin with 43812751 relations and 34616645 unique ideals Tue Jun 17 03:00:51 2008 reduce to 43785389 relations and 33573226 ideals in 5 passes Tue Jun 17 03:00:51 2008 max relations containing the same ideal: 20 Tue Jun 17 03:01:47 2008 removing 1390044 relations and 990044 ideals in 400000 cliques Tue Jun 17 03:01:49 2008 commencing in-memory singleton removal Tue Jun 17 03:01:58 2008 begin with 42395345 relations and 33573226 unique ideals Tue Jun 17 03:02:57 2008 reduce to 42366052 relations and 32553629 ideals in 5 passes Tue Jun 17 03:02:57 2008 max relations containing the same ideal: 20 Tue Jun 17 03:03:50 2008 removing 1383632 relations and 983632 ideals in 400000 cliques Tue Jun 17 03:03:52 2008 commencing in-memory singleton removal Tue Jun 17 03:04:02 2008 begin with 40982420 relations and 32553629 unique ideals Tue Jun 17 03:04:58 2008 reduce to 40954158 relations and 31541493 ideals in 5 passes Tue Jun 17 03:04:58 2008 max relations containing the same ideal: 20 Tue Jun 17 03:05:50 2008 removing 1356417 relations and 956417 ideals in 400000 cliques Tue Jun 17 03:05:52 2008 commencing in-memory singleton removal Tue Jun 17 03:06:00 2008 begin with 39597741 relations and 31541493 unique ideals Tue Jun 17 03:06:55 2008 reduce to 39567600 relations and 30554673 ideals in 5 passes Tue Jun 17 03:06:55 2008 max relations containing the same ideal: 20 Tue Jun 17 03:07:45 2008 removing 1349727 relations and 949727 ideals in 400000 cliques Tue Jun 17 03:07:47 2008 commencing in-memory singleton removal Tue Jun 17 03:07:55 2008 begin with 38217873 relations and 30554673 unique ideals Tue Jun 17 03:08:48 2008 reduce to 38187149 relations and 29573928 ideals in 5 passes Tue Jun 17 03:08:48 2008 max relations containing the same ideal: 20 Tue Jun 17 03:09:36 2008 removing 1332297 relations and 932297 ideals in 400000 cliques Tue Jun 17 03:09:38 2008 commencing in-memory singleton removal Tue Jun 17 03:09:46 2008 begin with 36854852 relations and 29573928 unique ideals Tue Jun 17 03:10:36 2008 reduce to 36822667 relations and 28609060 ideals in 5 passes Tue Jun 17 03:10:36 2008 max relations containing the same ideal: 20 Tue Jun 17 03:11:22 2008 removing 1323076 relations and 923076 ideals in 400000 cliques Tue Jun 17 03:11:24 2008 commencing in-memory singleton removal Tue Jun 17 03:11:32 2008 begin with 35499591 relations and 28609060 unique ideals Tue Jun 17 03:12:30 2008 reduce to 35466146 relations and 27652164 ideals in 6 passes Tue Jun 17 03:12:30 2008 max relations containing the same ideal: 20 Tue Jun 17 03:13:14 2008 removing 1311240 relations and 911240 ideals in 400000 cliques Tue Jun 17 03:13:16 2008 commencing in-memory singleton removal Tue Jun 17 03:13:23 2008 begin with 34154906 relations and 27652164 unique ideals Tue Jun 17 03:14:10 2008 reduce to 34119855 relations and 26705466 ideals in 5 passes Tue Jun 17 03:14:10 2008 max relations containing the same ideal: 20 Tue Jun 17 03:14:52 2008 removing 1313275 relations and 913275 ideals in 400000 cliques Tue Jun 17 03:14:54 2008 commencing in-memory singleton removal Tue Jun 17 03:15:01 2008 begin with 32806580 relations and 26705466 unique ideals Tue Jun 17 03:15:45 2008 reduce to 32771524 relations and 25756665 ideals in 5 passes Tue Jun 17 03:15:45 2008 max relations containing the same ideal: 19 Tue Jun 17 03:16:26 2008 removing 1307838 relations and 907838 ideals in 400000 cliques Tue Jun 17 03:16:28 2008 commencing in-memory singleton removal Tue Jun 17 03:16:35 2008 begin with 31463686 relations and 25756665 unique ideals Tue Jun 17 03:17:17 2008 reduce to 31428379 relations and 24813098 ideals in 5 passes Tue Jun 17 03:17:17 2008 max relations containing the same ideal: 19 Tue Jun 17 03:17:56 2008 removing 1303599 relations and 903599 ideals in 400000 cliques Tue Jun 17 03:17:57 2008 commencing in-memory singleton removal Tue Jun 17 03:18:04 2008 begin with 30124780 relations and 24813098 unique ideals Tue Jun 17 03:18:44 2008 reduce to 30086631 relations and 23870828 ideals in 5 passes Tue Jun 17 03:18:44 2008 max relations containing the same ideal: 19 Tue Jun 17 03:19:21 2008 removing 1305296 relations and 905296 ideals in 400000 cliques Tue Jun 17 03:19:23 2008 commencing in-memory singleton removal Tue Jun 17 03:19:29 2008 begin with 28781335 relations and 23870828 unique ideals Tue Jun 17 03:20:07 2008 reduce to 28740855 relations and 22924518 ideals in 5 passes Tue Jun 17 03:20:07 2008 max relations containing the same ideal: 19 Tue Jun 17 03:20:43 2008 removing 1307477 relations and 907477 ideals in 400000 cliques Tue Jun 17 03:20:45 2008 commencing in-memory singleton removal Tue Jun 17 03:20:50 2008 begin with 27433378 relations and 22924518 unique ideals Tue Jun 17 03:21:34 2008 reduce to 27389450 relations and 21972465 ideals in 6 passes Tue Jun 17 03:21:34 2008 max relations containing the same ideal: 19 Tue Jun 17 03:22:07 2008 removing 598856 relations and 443948 ideals in 154908 cliques Tue Jun 17 03:22:09 2008 commencing in-memory singleton removal Tue Jun 17 03:22:14 2008 begin with 26790594 relations and 21972465 unique ideals Tue Jun 17 03:22:57 2008 reduce to 26782210 relations and 21520088 ideals in 6 passes Tue Jun 17 03:22:57 2008 max relations containing the same ideal: 19 Tue Jun 17 03:23:07 2008 relations with 0 large ideals: 286273 Tue Jun 17 03:23:07 2008 relations with 1 large ideals: 1905097 Tue Jun 17 03:23:07 2008 relations with 2 large ideals: 5728964 Tue Jun 17 03:23:07 2008 relations with 3 large ideals: 8662786 Tue Jun 17 03:23:07 2008 relations with 4 large ideals: 6853408 Tue Jun 17 03:23:07 2008 relations with 5 large ideals: 2795509 Tue Jun 17 03:23:07 2008 relations with 6 large ideals: 501491 Tue Jun 17 03:23:07 2008 relations with 7+ large ideals: 48682 Tue Jun 17 03:23:07 2008 commencing 2-way merge Tue Jun 17 03:23:47 2008 reduce to 19488911 relation sets and 14226789 unique ideals Tue Jun 17 03:23:47 2008 commencing full merge Tue Jun 17 03:30:55 2008 memory use: 1309.6 MB Tue Jun 17 03:30:57 2008 found 9910547 cycles, need 9184989 Tue Jun 17 03:31:05 2008 weight of 9184989 cycles is about 643172975 (70.02/cycle) Tue Jun 17 03:31:05 2008 distribution of cycle lengths: Tue Jun 17 03:31:05 2008 1 relations: 722308 Tue Jun 17 03:31:05 2008 2 relations: 1030820 Tue Jun 17 03:31:05 2008 3 relations: 1213183 Tue Jun 17 03:31:05 2008 4 relations: 1234884 Tue Jun 17 03:31:05 2008 5 relations: 1179951 Tue Jun 17 03:31:05 2008 6 relations: 1052374 Tue Jun 17 03:31:05 2008 7 relations: 896379 Tue Jun 17 03:31:05 2008 8 relations: 719936 Tue Jun 17 03:31:05 2008 9 relations: 553036 Tue Jun 17 03:31:05 2008 10+ relations: 582118 Tue Jun 17 03:31:05 2008 heaviest cycle: 12 relations Tue Jun 17 03:31:08 2008 commencing cycle optimization Tue Jun 17 03:31:57 2008 start with 46598085 relations Tue Jun 17 03:35:31 2008 pruned 873273 relations Tue Jun 17 03:35:32 2008 memory use: 1539.3 MB Tue Jun 17 03:35:32 2008 distribution of cycle lengths: Tue Jun 17 03:35:32 2008 1 relations: 722308 Tue Jun 17 03:35:32 2008 2 relations: 1046881 Tue Jun 17 03:35:32 2008 3 relations: 1249827 Tue Jun 17 03:35:32 2008 4 relations: 1263691 Tue Jun 17 03:35:32 2008 5 relations: 1215404 Tue Jun 17 03:35:32 2008 6 relations: 1074455 Tue Jun 17 03:35:32 2008 7 relations: 909454 Tue Jun 17 03:35:32 2008 8 relations: 712678 Tue Jun 17 03:35:32 2008 9 relations: 523593 Tue Jun 17 03:35:32 2008 10+ relations: 466698 Tue Jun 17 03:35:32 2008 heaviest cycle: 12 relations Tue Jun 17 03:36:09 2008 Tue Jun 17 03:36:18 2008 commencing linear algebra Tue Jun 17 03:36:21 2008 read 9184989 cycles Tue Jun 17 03:38:44 2008 cycles contain 24808683 unique relations Tue Jun 17 03:43:33 2008 read 24808683 relations Tue Jun 17 03:45:15 2008 using 32 quadratic characters above 1073740250 Tue Jun 17 03:51:20 2008 building initial matrix Tue Jun 17 04:06:35 2008 memory use: 3116.1 MB Tue Jun 17 04:06:44 2008 read 9184989 cycles Tue Jun 17 04:06:55 2008 matrix is 9184688 x 9184989 (2754.0 MB) with weight 862824548 (93.94/col) Tue Jun 17 04:06:55 2008 sparse part has weight 620904425 (67.60/col) Tue Jun 17 04:14:56 2008 filtering completed in 3 passes Tue Jun 17 04:15:01 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col) Tue Jun 17 04:15:01 2008 sparse part has weight 620639344 (67.68/col) Tue Jun 17 04:16:56 2008 read 9170374 cycles Tue Jun 17 04:17:07 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col) Tue Jun 17 04:17:07 2008 sparse part has weight 620639344 (67.68/col) Tue Jun 17 04:17:08 2008 saving the first 48 matrix rows for later Tue Jun 17 04:17:17 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col) Tue Jun 17 04:17:17 2008 sparse part has weight 604509751 (65.92/col) Tue Jun 17 04:17:17 2008 matrix includes 64 packed rows Tue Jun 17 04:17:17 2008 using block size 65536 for processor cache size 2048 kB Tue Jun 17 04:18:41 2008 commencing Lanczos iteration (7 threads) Tue Jun 17 04:18:41 2008 memory use: 3015.7 MB Thu Jun 19 22:40:12 2008 lanczos halted after 33766 iterations (dim = 2134956) Thu Jun 19 22:48:49 2008 Msieve v. 1.36 Thu Jun 19 22:48:49 2008 random seeds: 59038c53 2145cf78 Thu Jun 19 22:48:49 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits) Thu Jun 19 22:48:52 2008 no P-1/P+1/ECM available, skipping Thu Jun 19 22:48:52 2008 commencing number field sieve (229-digit input) Thu Jun 19 22:48:52 2008 R0: -1 Thu Jun 19 22:48:52 2008 R1: 10000000000000000000000000000000000000000 Thu Jun 19 22:48:52 2008 A0: -10 Thu Jun 19 22:48:52 2008 A1: 0 Thu Jun 19 22:48:52 2008 A2: 0 Thu Jun 19 22:48:52 2008 A3: 0 Thu Jun 19 22:48:52 2008 A4: 0 Thu Jun 19 22:48:52 2008 A5: 0 Thu Jun 19 22:48:52 2008 A6: 1 Thu Jun 19 22:48:52 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12 Thu Jun 19 22:48:52 2008 Thu Jun 19 22:48:52 2008 commencing linear algebra Thu Jun 19 22:48:54 2008 read 9170374 cycles Thu Jun 19 22:49:04 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col) Thu Jun 19 22:49:04 2008 sparse part has weight 620639344 (67.68/col) Thu Jun 19 22:49:05 2008 saving the first 48 matrix rows for later Thu Jun 19 22:49:14 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col) Thu Jun 19 22:49:14 2008 sparse part has weight 604509751 (65.92/col) Thu Jun 19 22:49:14 2008 matrix includes 64 packed rows Thu Jun 19 22:49:14 2008 using block size 65536 for processor cache size 2048 kB Thu Jun 19 22:50:29 2008 commencing Lanczos iteration (8 threads) Thu Jun 19 22:50:29 2008 memory use: 3085.8 MB Thu Jun 19 22:50:29 2008 restarting at iteration 33791 (dim = 2136536) Mon Jun 23 15:08:25 2008 lanczos halted after 80536 iterations (dim = 5092285) Mon Jun 23 15:08:26 2008 Mon Jun 23 15:08:26 2008 commencing square root phase Mon Jun 23 15:08:26 2008 reading relations for dependency 1 Mon Jun 23 23:27:00 2008 Mon Jun 23 23:27:00 2008 Mon Jun 23 23:27:00 2008 Msieve v. 1.36 Mon Jun 23 23:27:00 2008 random seeds: 0b50f40a c256cd4b Mon Jun 23 23:27:00 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits) Mon Jun 23 23:27:03 2008 no P-1/P+1/ECM available, skipping Mon Jun 23 23:27:03 2008 commencing number field sieve (229-digit input) Mon Jun 23 23:27:03 2008 R0: -1 Mon Jun 23 23:27:03 2008 R1: 10000000000000000000000000000000000000000 Mon Jun 23 23:27:03 2008 A0: -10 Mon Jun 23 23:27:03 2008 A1: 0 Mon Jun 23 23:27:03 2008 A2: 0 Mon Jun 23 23:27:03 2008 A3: 0 Mon Jun 23 23:27:03 2008 A4: 0 Mon Jun 23 23:27:03 2008 A5: 0 Mon Jun 23 23:27:03 2008 A6: 1 Mon Jun 23 23:27:03 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12 Mon Jun 23 23:27:03 2008 Mon Jun 23 23:27:03 2008 commencing linear algebra Mon Jun 23 23:27:11 2008 read 9170374 cycles Mon Jun 23 23:28:40 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col) Mon Jun 23 23:28:40 2008 sparse part has weight 620639344 (67.68/col) Mon Jun 23 23:28:40 2008 saving the first 48 matrix rows for later Mon Jun 23 23:28:48 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col) Mon Jun 23 23:28:49 2008 sparse part has weight 604509751 (65.92/col) Mon Jun 23 23:28:49 2008 matrix includes 64 packed rows Mon Jun 23 23:28:49 2008 using block size 65536 for processor cache size 2048 kB Mon Jun 23 23:30:04 2008 commencing Lanczos iteration (8 threads) Mon Jun 23 23:30:04 2008 memory use: 3085.8 MB Mon Jun 23 23:30:08 2008 restarting at iteration 80536 (dim = 5092285) Wed Jun 25 12:46:56 2008 lanczos halted after 99170 iterations (dim = 6270439) Wed Jun 25 12:46:56 2008 Wed Jun 25 12:46:56 2008 commencing square root phase Wed Jun 25 12:46:56 2008 reading relations for dependency 1 Wed Jun 25 12:47:09 2008 Wed Jun 25 12:47:09 2008 Wed Jun 25 12:47:09 2008 Msieve v. 1.36 Wed Jun 25 12:47:09 2008 random seeds: d61b2a55 4d021394 Wed Jun 25 12:47:09 2008 factoring 8818494710724135843992143485822092387241346180661731882584652814791399260404212300220860100310211000039811546760342771415871328563704658755540522813656456530773991725065170759876875165438074252973593473504031270181916247141124747 (229 digits) Wed Jun 25 12:47:12 2008 no P-1/P+1/ECM available, skipping Wed Jun 25 12:47:12 2008 commencing number field sieve (229-digit input) Wed Jun 25 12:47:12 2008 R0: -1 Wed Jun 25 12:47:12 2008 R1: 10000000000000000000000000000000000000000 Wed Jun 25 12:47:12 2008 A0: -10 Wed Jun 25 12:47:12 2008 A1: 0 Wed Jun 25 12:47:12 2008 A2: 0 Wed Jun 25 12:47:12 2008 A3: 0 Wed Jun 25 12:47:12 2008 A4: 0 Wed Jun 25 12:47:12 2008 A5: 0 Wed Jun 25 12:47:12 2008 A6: 1 Wed Jun 25 12:47:12 2008 size score = 1.313169e-11, Murphy alpha = 1.181381, combined = 9.369794e-12 Wed Jun 25 12:47:12 2008 Wed Jun 25 12:47:12 2008 commencing linear algebra Wed Jun 25 12:47:14 2008 read 9170374 cycles Wed Jun 25 12:47:24 2008 matrix is 9170174 x 9170374 (2752.4 MB) with weight 862198541 (94.02/col) Wed Jun 25 12:47:24 2008 sparse part has weight 620639344 (67.68/col) Wed Jun 25 12:47:25 2008 saving the first 48 matrix rows for later Wed Jun 25 12:47:34 2008 matrix is 9170126 x 9170374 (2655.8 MB) with weight 662977955 (72.30/col) Wed Jun 25 12:47:34 2008 sparse part has weight 604509751 (65.92/col) Wed Jun 25 12:47:34 2008 matrix includes 64 packed rows Wed Jun 25 12:47:34 2008 using block size 65536 for processor cache size 2048 kB Wed Jun 25 12:48:49 2008 commencing Lanczos iteration (8 threads) Wed Jun 25 12:48:49 2008 memory use: 3085.8 MB Wed Jun 25 12:48:49 2008 restarting at iteration 99170 (dim = 6270439) Sun Jun 29 21:42:09 2008 lanczos halted after 145024 iterations (dim = 9170124) Sun Jun 29 21:42:42 2008 recovered 44 nontrivial dependencies Sun Jun 29 21:42:42 2008 Sun Jun 29 21:42:42 2008 commencing square root phase Sun Jun 29 21:42:42 2008 reading relations for dependency 1 Sun Jun 29 21:42:47 2008 read 4585371 cycles Sun Jun 29 21:43:36 2008 cycles contain 15481528 unique relations Sun Jun 29 21:47:34 2008 read 15481528 relations Sun Jun 29 21:53:48 2008 multiplying 22858546 relations Sun Jun 29 23:32:28 2008 multiply complete, coefficients have about 573.26 million bits Sun Jun 29 23:32:49 2008 initial square root is modulo 139021 Mon Jun 30 03:05:54 2008 prp58 factor: 6864117620760368762783548070444378476387203247067308861991 Mon Jun 30 03:05:54 2008 prp172 factor: 1284723718027907578308161847718833604584745675921223819698370321057736028110620211093158003640524870589886498093069906476856343743741576560078333050912151555369147240369917 Mon Jun 30 03:05:54 2008 elapsed time 110:18:45 |
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#76 |
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Jul 2003
So Cal
2·34·13 Posts |
6,313- is done. Here's the log.
Code:
Fri Jul 25 18:14:26 2008 Msieve v. 1.36 Fri Jul 25 18:14:26 2008 random seeds: fce5ee02 158e659e Fri Jul 25 18:14:26 2008 factoring 28403424180675214853098193865490057014063902497128388709439092464457771134002915643684447027365842305085064624764952215406305213940449664683336683993252753113631311980573532223712991612038027498881491551745039965087318065889563 (227 digits) Fri Jul 25 18:14:29 2008 no P-1/P+1/ECM available, skipping Fri Jul 25 18:14:29 2008 commencing number field sieve (227-digit input) Fri Jul 25 18:14:29 2008 R0: -1 Fri Jul 25 18:14:29 2008 R1: 29098125988731506183153025616435306561536 Fri Jul 25 18:14:29 2008 A0: -6 Fri Jul 25 18:14:29 2008 A1: 0 Fri Jul 25 18:14:29 2008 A2: 0 Fri Jul 25 18:14:29 2008 A3: 0 Fri Jul 25 18:14:29 2008 A4: 0 Fri Jul 25 18:14:29 2008 A5: 0 Fri Jul 25 18:14:29 2008 A6: 1 Fri Jul 25 18:14:29 2008 size score = 1.053811e-11, Murphy alpha = 1.872322, combined = 6.172159e-12 Fri Jul 25 18:15:24 2008 restarting with 102731102 relations Fri Jul 25 18:15:24 2008 Fri Jul 25 18:15:24 2008 commencing relation filtering Fri Jul 25 18:15:24 2008 commencing duplicate removal, pass 1 Fri Jul 25 18:34:59 2008 found 15468369 hash collisions in 102731084 relations Fri Jul 25 18:34:59 2008 commencing duplicate removal, pass 2 Fri Jul 25 18:45:56 2008 found 0 duplicates and 102731084 unique relations Fri Jul 25 18:45:56 2008 memory use: 504.8 MB Fri Jul 25 18:45:57 2008 ignoring smallest 78498 rational and 78178 algebraic ideals Fri Jul 25 18:45:57 2008 filtering rational ideals above 1000000 Fri Jul 25 18:45:57 2008 filtering algebraic ideals above 1000000 Fri Jul 25 18:45:57 2008 need 235014 more relations than ideals Fri Jul 25 18:45:57 2008 commencing singleton removal, pass 1 Fri Jul 25 19:12:18 2008 relations with 0 large ideals: 6497 Fri Jul 25 19:12:18 2008 relations with 1 large ideals: 456 Fri Jul 25 19:12:18 2008 relations with 2 large ideals: 9659 Fri Jul 25 19:12:18 2008 relations with 3 large ideals: 114489 Fri Jul 25 19:12:18 2008 relations with 4 large ideals: 852674 Fri Jul 25 19:12:18 2008 relations with 5 large ideals: 4066534 Fri Jul 25 19:12:18 2008 relations with 6 large ideals: 12403006 Fri Jul 25 19:12:18 2008 relations with 7+ large ideals: 85277769 Fri Jul 25 19:12:18 2008 102731084 relations and about 67454694 large ideals Fri Jul 25 19:12:18 2008 commencing singleton removal, pass 2 Fri Jul 25 19:38:19 2008 found 12344562 singletons Fri Jul 25 19:38:19 2008 current dataset: 90386522 relations and about 54504939 large ideals Fri Jul 25 19:38:20 2008 commencing singleton removal, pass 3 Fri Jul 25 20:02:53 2008 relations with 0 large ideals: 6497 Fri Jul 25 20:02:53 2008 relations with 1 large ideals: 441 Fri Jul 25 20:02:53 2008 relations with 2 large ideals: 9206 Fri Jul 25 20:02:53 2008 relations with 3 large ideals: 106917 Fri Jul 25 20:02:53 2008 relations with 4 large ideals: 779759 Fri Jul 25 20:02:53 2008 relations with 5 large ideals: 3655056 Fri Jul 25 20:02:53 2008 relations with 6 large ideals: 11008718 Fri Jul 25 20:02:53 2008 relations with 7+ large ideals: 74819928 Fri Jul 25 20:02:53 2008 90386522 relations and about 68677241 large ideals Fri Jul 25 20:02:53 2008 commencing singleton removal, pass 4 Fri Jul 25 20:27:04 2008 found 11006755 singletons Fri Jul 25 20:27:04 2008 current dataset: 79379767 relations and about 57122603 large ideals Fri Jul 25 20:27:04 2008 commencing singleton removal, pass 5 Fri Jul 25 20:48:13 2008 found 1878958 singletons Fri Jul 25 20:48:13 2008 current dataset: 77500809 relations and about 55224971 large ideals Fri Jul 25 20:48:13 2008 commencing singleton removal, pass 6 Fri Jul 25 21:09:08 2008 found 276015 singletons Fri Jul 25 21:09:08 2008 current dataset: 77224794 relations and about 54948504 large ideals Fri Jul 25 21:09:09 2008 commencing singleton removal, final pass Fri Jul 25 23:03:54 2008 memory use: 2883.5 MB Fri Jul 25 23:03:56 2008 commencing in-memory singleton removal Fri Jul 25 23:05:54 2008 begin with 77224794 relations and 64963471 unique ideals Fri Jul 25 23:27:57 2008 reduce to 70521498 relations and 58123825 ideals in 11 passes Fri Jul 25 23:27:57 2008 max relations containing the same ideal: 579 Fri Jul 25 23:36:34 2008 removing 2786031 relations and 2386031 ideals in 400000 cliques Fri Jul 25 23:36:45 2008 commencing in-memory singleton removal Fri Jul 25 23:38:27 2008 begin with 67735467 relations and 58123825 unique ideals Fri Jul 25 23:51:18 2008 reduce to 67681418 relations and 55683358 ideals in 7 passes Fri Jul 25 23:51:18 2008 max relations containing the same ideal: 558 Fri Jul 25 23:59:03 2008 removing 2102446 relations and 1702446 ideals in 400000 cliques Fri Jul 25 23:59:14 2008 commencing in-memory singleton removal Sat Jul 26 00:00:47 2008 begin with 65578972 relations and 55683358 unique ideals Sat Jul 26 00:11:10 2008 reduce to 65544385 relations and 53946138 ideals in 6 passes Sat Jul 26 00:11:10 2008 max relations containing the same ideal: 541 Sat Jul 26 00:18:51 2008 removing 1878748 relations and 1478748 ideals in 400000 cliques Sat Jul 26 00:19:02 2008 commencing in-memory singleton removal Sat Jul 26 00:20:36 2008 begin with 63665637 relations and 53946138 unique ideals Sat Jul 26 00:30:53 2008 reduce to 63635940 relations and 52437543 ideals in 6 passes Sat Jul 26 00:30:53 2008 max relations containing the same ideal: 527 Sat Jul 26 00:38:28 2008 removing 1745885 relations and 1345885 ideals in 400000 cliques Sat Jul 26 00:38:41 2008 commencing in-memory singleton removal Sat Jul 26 00:40:13 2008 begin with 61890055 relations and 52437543 unique ideals Sat Jul 26 00:49:53 2008 reduce to 61863210 relations and 51064662 ideals in 6 passes Sat Jul 26 00:49:53 2008 max relations containing the same ideal: 515 Sat Jul 26 00:57:06 2008 removing 1661729 relations and 1261729 ideals in 400000 cliques Sat Jul 26 00:57:17 2008 commencing in-memory singleton removal Sat Jul 26 00:58:42 2008 begin with 60201481 relations and 51064662 unique ideals Sat Jul 26 01:06:31 2008 reduce to 60176236 relations and 49777555 ideals in 5 passes Sat Jul 26 01:06:31 2008 max relations containing the same ideal: 501 Sat Jul 26 01:13:18 2008 removing 1595818 relations and 1195818 ideals in 400000 cliques Sat Jul 26 01:13:30 2008 commencing in-memory singleton removal Sat Jul 26 01:14:58 2008 begin with 58580418 relations and 49777555 unique ideals Sat Jul 26 01:23:53 2008 reduce to 58557808 relations and 48559015 ideals in 6 passes Sat Jul 26 01:23:53 2008 max relations containing the same ideal: 494 Sat Jul 26 01:30:27 2008 removing 1539481 relations and 1139481 ideals in 400000 cliques Sat Jul 26 01:30:34 2008 commencing in-memory singleton removal Sat Jul 26 01:31:59 2008 begin with 57018327 relations and 48559015 unique ideals Sat Jul 26 01:40:49 2008 reduce to 56994747 relations and 47395818 ideals in 6 passes Sat Jul 26 01:40:49 2008 max relations containing the same ideal: 474 Sat Jul 26 01:47:26 2008 removing 1496102 relations and 1096102 ideals in 400000 cliques Sat Jul 26 01:47:37 2008 commencing in-memory singleton removal Sat Jul 26 01:48:59 2008 begin with 55498645 relations and 47395818 unique ideals Sat Jul 26 01:55:55 2008 reduce to 55474761 relations and 46275693 ideals in 5 passes Sat Jul 26 01:55:55 2008 max relations containing the same ideal: 466 Sat Jul 26 02:02:17 2008 removing 1454335 relations and 1054335 ideals in 400000 cliques Sat Jul 26 02:02:25 2008 commencing in-memory singleton removal Sat Jul 26 02:03:40 2008 begin with 54020426 relations and 46275693 unique ideals Sat Jul 26 02:10:37 2008 reduce to 53996560 relations and 45197348 ideals in 5 passes Sat Jul 26 02:10:37 2008 max relations containing the same ideal: 457 Sat Jul 26 02:16:40 2008 removing 1428364 relations and 1028364 ideals in 400000 cliques Sat Jul 26 02:16:50 2008 commencing in-memory singleton removal Sat Jul 26 02:18:02 2008 begin with 52568196 relations and 45197348 unique ideals Sat Jul 26 02:24:46 2008 reduce to 52546317 relations and 44146966 ideals in 5 passes Sat Jul 26 02:24:46 2008 max relations containing the same ideal: 443 Sat Jul 26 02:30:50 2008 removing 1392951 relations and 992951 ideals in 400000 cliques Sat Jul 26 02:31:01 2008 commencing in-memory singleton removal Sat Jul 26 02:32:06 2008 begin with 51153366 relations and 44146966 unique ideals Sat Jul 26 02:38:24 2008 reduce to 51129629 relations and 43130109 ideals in 5 passes Sat Jul 26 02:38:24 2008 max relations containing the same ideal: 434 Sat Jul 26 02:44:23 2008 removing 1379424 relations and 979424 ideals in 400000 cliques Sat Jul 26 02:44:31 2008 commencing in-memory singleton removal Sat Jul 26 02:45:46 2008 begin with 49750205 relations and 43130109 unique ideals Sat Jul 26 02:52:06 2008 reduce to 49726524 relations and 42126832 ideals in 5 passes Sat Jul 26 02:52:06 2008 max relations containing the same ideal: 425 Sat Jul 26 02:57:50 2008 removing 1363322 relations and 963322 ideals in 400000 cliques Sat Jul 26 02:58:00 2008 commencing in-memory singleton removal Sat Jul 26 02:59:11 2008 begin with 48363202 relations and 42126832 unique ideals Sat Jul 26 03:05:23 2008 reduce to 48339709 relations and 41139840 ideals in 5 passes Sat Jul 26 03:05:23 2008 max relations containing the same ideal: 408 Sat Jul 26 03:10:48 2008 removing 1344428 relations and 944428 ideals in 400000 cliques Sat Jul 26 03:10:56 2008 commencing in-memory singleton removal Sat Jul 26 03:12:05 2008 begin with 46995281 relations and 41139840 unique ideals Sat Jul 26 03:17:54 2008 reduce to 46970862 relations and 40170779 ideals in 5 passes Sat Jul 26 03:17:54 2008 max relations containing the same ideal: 400 Sat Jul 26 03:23:19 2008 removing 1328884 relations and 928884 ideals in 400000 cliques Sat Jul 26 03:23:28 2008 commencing in-memory singleton removal Sat Jul 26 03:24:33 2008 begin with 45641978 relations and 40170779 unique ideals Sat Jul 26 03:30:12 2008 reduce to 45616870 relations and 39216581 ideals in 5 passes Sat Jul 26 03:30:12 2008 max relations containing the same ideal: 392 Sat Jul 26 03:35:25 2008 removing 1310594 relations and 910594 ideals in 400000 cliques Sat Jul 26 03:35:36 2008 commencing in-memory singleton removal Sat Jul 26 03:36:35 2008 begin with 44306276 relations and 39216581 unique ideals Sat Jul 26 03:42:08 2008 reduce to 44279303 relations and 38278764 ideals in 5 passes Sat Jul 26 03:42:08 2008 max relations containing the same ideal: 382 Sat Jul 26 03:47:04 2008 removing 1304434 relations and 904434 ideals in 400000 cliques Sat Jul 26 03:47:14 2008 commencing in-memory singleton removal Sat Jul 26 03:48:09 2008 begin with 42974869 relations and 38278764 unique ideals Sat Jul 26 03:53:08 2008 reduce to 42948996 relations and 37348219 ideals in 5 passes Sat Jul 26 03:53:08 2008 max relations containing the same ideal: 369 Sat Jul 26 03:58:05 2008 removing 1296642 relations and 896642 ideals in 400000 cliques Sat Jul 26 03:58:11 2008 commencing in-memory singleton removal Sat Jul 26 03:59:12 2008 begin with 41652354 relations and 37348219 unique ideals Sat Jul 26 04:05:12 2008 reduce to 41627722 relations and 36426704 ideals in 6 passes Sat Jul 26 04:05:12 2008 max relations containing the same ideal: 359 Sat Jul 26 04:09:49 2008 removing 1283042 relations and 883042 ideals in 400000 cliques Sat Jul 26 04:09:56 2008 commencing in-memory singleton removal Sat Jul 26 04:10:44 2008 begin with 40344680 relations and 36426704 unique ideals Sat Jul 26 04:15:34 2008 reduce to 40319323 relations and 35518041 ideals in 5 passes Sat Jul 26 04:15:34 2008 max relations containing the same ideal: 353 Sat Jul 26 04:20:09 2008 removing 1272556 relations and 872556 ideals in 400000 cliques Sat Jul 26 04:20:16 2008 commencing in-memory singleton removal Sat Jul 26 04:21:15 2008 begin with 39046767 relations and 35518041 unique ideals Sat Jul 26 04:25:44 2008 reduce to 39019792 relations and 34618264 ideals in 5 passes Sat Jul 26 04:25:44 2008 max relations containing the same ideal: 347 Sat Jul 26 04:30:09 2008 removing 1279743 relations and 879743 ideals in 400000 cliques Sat Jul 26 04:30:19 2008 commencing in-memory singleton removal Sat Jul 26 04:31:11 2008 begin with 37740049 relations and 34618264 unique ideals Sat Jul 26 04:36:00 2008 reduce to 37713314 relations and 33711493 ideals in 5 passes Sat Jul 26 04:36:00 2008 max relations containing the same ideal: 335 Sat Jul 26 04:40:05 2008 removing 1269859 relations and 869859 ideals in 400000 cliques Sat Jul 26 04:40:11 2008 commencing in-memory singleton removal Sat Jul 26 04:41:05 2008 begin with 36443455 relations and 33711493 unique ideals Sat Jul 26 04:45:12 2008 reduce to 36415368 relations and 32813243 ideals in 5 passes Sat Jul 26 04:45:12 2008 max relations containing the same ideal: 326 Sat Jul 26 04:49:19 2008 removing 1266399 relations and 866399 ideals in 400000 cliques Sat Jul 26 04:49:24 2008 commencing in-memory singleton removal Sat Jul 26 04:50:13 2008 begin with 35148969 relations and 32813243 unique ideals Sat Jul 26 04:54:22 2008 reduce to 35119455 relations and 31917012 ideals in 5 passes Sat Jul 26 04:54:22 2008 max relations containing the same ideal: 320 Sat Jul 26 04:58:20 2008 removing 1263687 relations and 863687 ideals in 400000 cliques Sat Jul 26 04:58:27 2008 commencing in-memory singleton removal Sat Jul 26 04:59:16 2008 begin with 33855768 relations and 31917012 unique ideals Sat Jul 26 05:03:15 2008 reduce to 33824948 relations and 31022144 ideals in 5 passes Sat Jul 26 05:03:15 2008 max relations containing the same ideal: 306 Sat Jul 26 05:06:55 2008 removing 1264655 relations and 864655 ideals in 400000 cliques Sat Jul 26 05:07:00 2008 commencing in-memory singleton removal Sat Jul 26 05:07:41 2008 begin with 32560293 relations and 31022144 unique ideals Sat Jul 26 05:12:04 2008 reduce to 32527652 relations and 30124431 ideals in 6 passes Sat Jul 26 05:12:04 2008 max relations containing the same ideal: 297 Sat Jul 26 05:15:50 2008 removing 1266923 relations and 866923 ideals in 400000 cliques Sat Jul 26 05:16:00 2008 commencing in-memory singleton removal Sat Jul 26 05:16:41 2008 begin with 31260729 relations and 30124431 unique ideals Sat Jul 26 05:20:21 2008 reduce to 31226260 relations and 29222596 ideals in 5 passes Sat Jul 26 05:20:21 2008 max relations containing the same ideal: 287 Sat Jul 26 05:23:51 2008 removing 1268763 relations and 868763 ideals in 400000 cliques Sat Jul 26 05:23:54 2008 commencing in-memory singleton removal Sat Jul 26 05:24:33 2008 begin with 29957497 relations and 29222596 unique ideals Sat Jul 26 05:27:56 2008 reduce to 29920577 relations and 28316455 ideals in 5 passes Sat Jul 26 05:27:56 2008 max relations containing the same ideal: 277 Sat Jul 26 05:31:11 2008 removing 1274047 relations and 874047 ideals in 400000 cliques Sat Jul 26 05:31:16 2008 commencing in-memory singleton removal Sat Jul 26 05:31:50 2008 begin with 28646530 relations and 28316455 unique ideals Sat Jul 26 05:35:08 2008 reduce to 28606654 relations and 27402012 ideals in 5 passes Sat Jul 26 05:35:08 2008 max relations containing the same ideal: 265 Sat Jul 26 05:38:20 2008 removing 1279264 relations and 879264 ideals in 400000 cliques Sat Jul 26 05:38:24 2008 commencing in-memory singleton removal Sat Jul 26 05:38:54 2008 begin with 27327390 relations and 27402012 unique ideals Sat Jul 26 05:42:36 2008 reduce to 27283882 relations and 26478690 ideals in 6 passes Sat Jul 26 05:42:36 2008 max relations containing the same ideal: 257 Sat Jul 26 05:45:46 2008 removing 1294299 relations and 894299 ideals in 400000 cliques Sat Jul 26 05:45:48 2008 commencing in-memory singleton removal Sat Jul 26 05:46:19 2008 begin with 25989583 relations and 26478690 unique ideals Sat Jul 26 05:49:47 2008 reduce to 25943343 relations and 25537475 ideals in 6 passes Sat Jul 26 05:49:47 2008 max relations containing the same ideal: 246 Sat Jul 26 05:52:43 2008 removing 646939 relations and 476086 ideals in 170853 cliques Sat Jul 26 05:52:49 2008 commencing in-memory singleton removal Sat Jul 26 05:53:19 2008 begin with 25296404 relations and 25537475 unique ideals Sat Jul 26 05:56:01 2008 reduce to 25285276 relations and 25050210 ideals in 5 passes Sat Jul 26 05:56:01 2008 max relations containing the same ideal: 241 Sat Jul 26 05:56:30 2008 filtering rational ideals above 400000 Sat Jul 26 05:56:30 2008 filtering algebraic ideals above 400000 Sat Jul 26 05:56:30 2008 need 67436 more relations than ideals Sat Jul 26 05:56:30 2008 commencing singleton removal, final pass Sat Jul 26 09:04:37 2008 keeping 53360355 ideals with weight <= 20, new excess is 4920146 Sat Jul 26 09:11:20 2008 memory use: 1883.0 MB Sat Jul 26 09:11:21 2008 commencing in-memory singleton removal Sat Jul 26 09:12:17 2008 begin with 70521498 relations and 53360355 unique ideals Sat Jul 26 09:13:26 2008 reduce to 70521498 relations and 53360355 ideals in 1 passes Sat Jul 26 09:13:26 2008 max relations containing the same ideal: 20 Sat Jul 26 09:18:29 2008 removing 2786030 relations and 2386030 ideals in 400000 cliques Sat Jul 26 09:18:40 2008 commencing in-memory singleton removal Sat Jul 26 09:19:31 2008 begin with 67735468 relations and 53360355 unique ideals Sat Jul 26 09:27:31 2008 reduce to 67681423 relations and 50919893 ideals in 7 passes Sat Jul 26 09:27:31 2008 max relations containing the same ideal: 20 Sat Jul 26 09:32:27 2008 removing 2102448 relations and 1702448 ideals in 400000 cliques Sat Jul 26 09:32:33 2008 commencing in-memory singleton removal Sat Jul 26 09:33:23 2008 begin with 65578975 relations and 50919893 unique ideals Sat Jul 26 09:39:53 2008 reduce to 65544388 relations and 49182671 ideals in 6 passes Sat Jul 26 09:39:53 2008 max relations containing the same ideal: 20 Sat Jul 26 09:44:38 2008 removing 1878751 relations and 1478751 ideals in 400000 cliques Sat Jul 26 09:44:45 2008 commencing in-memory singleton removal Sat Jul 26 09:45:34 2008 begin with 63665637 relations and 49182671 unique ideals Sat Jul 26 09:51:37 2008 reduce to 63635945 relations and 47674078 ideals in 6 passes Sat Jul 26 09:51:37 2008 max relations containing the same ideal: 20 Sat Jul 26 09:55:58 2008 removing 1745890 relations and 1345890 ideals in 400000 cliques Sat Jul 26 09:56:04 2008 commencing in-memory singleton removal Sat Jul 26 09:56:44 2008 begin with 61890055 relations and 47674078 unique ideals Sat Jul 26 10:02:25 2008 reduce to 61863208 relations and 46301190 ideals in 6 passes Sat Jul 26 10:02:25 2008 max relations containing the same ideal: 20 Sat Jul 26 10:06:35 2008 removing 1661736 relations and 1261736 ideals in 400000 cliques Sat Jul 26 10:06:44 2008 commencing in-memory singleton removal Sat Jul 26 10:07:29 2008 begin with 60201472 relations and 46301190 unique ideals Sat Jul 26 10:12:13 2008 reduce to 60176227 relations and 45014076 ideals in 5 passes Sat Jul 26 10:12:13 2008 max relations containing the same ideal: 20 Sat Jul 26 10:16:08 2008 removing 1595806 relations and 1195806 ideals in 400000 cliques Sat Jul 26 10:16:16 2008 commencing in-memory singleton removal Sat Jul 26 10:16:54 2008 begin with 58580421 relations and 45014076 unique ideals Sat Jul 26 10:22:06 2008 reduce to 58557819 relations and 43795556 ideals in 6 passes Sat Jul 26 10:22:06 2008 max relations containing the same ideal: 20 Sat Jul 26 10:26:03 2008 removing 1539484 relations and 1139484 ideals in 400000 cliques Sat Jul 26 10:26:08 2008 commencing in-memory singleton removal Sat Jul 26 10:26:51 2008 begin with 57018335 relations and 43795556 unique ideals Sat Jul 26 10:31:53 2008 reduce to 56994772 relations and 42632373 ideals in 6 passes Sat Jul 26 10:31:53 2008 max relations containing the same ideal: 20 Sat Jul 26 10:35:44 2008 removing 1496137 relations and 1096137 ideals in 400000 cliques Sat Jul 26 10:35:49 2008 commencing in-memory singleton removal Sat Jul 26 10:36:34 2008 begin with 55498635 relations and 42632373 unique ideals Sat Jul 26 10:40:57 2008 reduce to 55474741 relations and 41512204 ideals in 5 passes Sat Jul 26 10:40:57 2008 max relations containing the same ideal: 20 Sat Jul 26 10:44:41 2008 removing 1454340 relations and 1054340 ideals in 400000 cliques Sat Jul 26 10:44:45 2008 commencing in-memory singleton removal Sat Jul 26 10:45:32 2008 begin with 54020401 relations and 41512204 unique ideals Sat Jul 26 10:49:43 2008 reduce to 53996556 relations and 40433875 ideals in 5 passes Sat Jul 26 10:49:43 2008 max relations containing the same ideal: 20 Sat Jul 26 10:53:18 2008 removing 1428358 relations and 1028358 ideals in 400000 cliques Sat Jul 26 10:53:22 2008 commencing in-memory singleton removal Sat Jul 26 10:53:58 2008 begin with 52568198 relations and 40433875 unique ideals Sat Jul 26 10:57:56 2008 reduce to 52546301 relations and 39383481 ideals in 5 passes Sat Jul 26 10:57:56 2008 max relations containing the same ideal: 20 Sat Jul 26 11:01:25 2008 removing 1392929 relations and 992929 ideals in 400000 cliques Sat Jul 26 11:01:34 2008 commencing in-memory singleton removal Sat Jul 26 11:02:15 2008 begin with 51153372 relations and 39383481 unique ideals Sat Jul 26 11:06:02 2008 reduce to 51129648 relations and 38366659 ideals in 5 passes Sat Jul 26 11:06:02 2008 max relations containing the same ideal: 20 Sat Jul 26 11:09:19 2008 removing 1379381 relations and 979381 ideals in 400000 cliques Sat Jul 26 11:09:21 2008 commencing in-memory singleton removal Sat Jul 26 11:10:00 2008 begin with 49750267 relations and 38366659 unique ideals Sat Jul 26 11:13:45 2008 reduce to 49726581 relations and 37363420 ideals in 5 passes Sat Jul 26 11:13:45 2008 max relations containing the same ideal: 20 Sat Jul 26 11:16:53 2008 removing 1363385 relations and 963385 ideals in 400000 cliques Sat Jul 26 11:17:00 2008 commencing in-memory singleton removal Sat Jul 26 11:17:30 2008 begin with 48363196 relations and 37363420 unique ideals Sat Jul 26 11:21:04 2008 reduce to 48339701 relations and 36376361 ideals in 5 passes Sat Jul 26 11:21:04 2008 max relations containing the same ideal: 20 Sat Jul 26 11:24:20 2008 removing 1344436 relations and 944436 ideals in 400000 cliques Sat Jul 26 11:24:27 2008 commencing in-memory singleton removal Sat Jul 26 11:24:56 2008 begin with 46995265 relations and 36376361 unique ideals Sat Jul 26 11:28:24 2008 reduce to 46970845 relations and 35407292 ideals in 5 passes Sat Jul 26 11:28:24 2008 max relations containing the same ideal: 20 Sat Jul 26 11:31:22 2008 removing 1328826 relations and 928826 ideals in 400000 cliques Sat Jul 26 11:31:26 2008 commencing in-memory singleton removal Sat Jul 26 11:31:57 2008 begin with 45642019 relations and 35407292 unique ideals Sat Jul 26 11:35:18 2008 reduce to 45616898 relations and 34453139 ideals in 5 passes Sat Jul 26 11:35:18 2008 max relations containing the same ideal: 20 Sat Jul 26 11:38:10 2008 removing 1310438 relations and 910438 ideals in 400000 cliques Sat Jul 26 11:38:16 2008 commencing in-memory singleton removal Sat Jul 26 11:38:48 2008 begin with 44306460 relations and 34453139 unique ideals Sat Jul 26 11:42:03 2008 reduce to 44279443 relations and 33515437 ideals in 5 passes Sat Jul 26 11:42:03 2008 max relations containing the same ideal: 20 Sat Jul 26 11:44:59 2008 removing 1304638 relations and 904638 ideals in 400000 cliques Sat Jul 26 11:45:03 2008 commencing in-memory singleton removal Sat Jul 26 11:45:30 2008 begin with 42974805 relations and 33515437 unique ideals Sat Jul 26 11:48:48 2008 reduce to 42948969 relations and 32584723 ideals in 5 passes Sat Jul 26 11:48:48 2008 max relations containing the same ideal: 20 Sat Jul 26 11:51:38 2008 removing 1296730 relations and 896730 ideals in 400000 cliques Sat Jul 26 11:51:42 2008 commencing in-memory singleton removal Sat Jul 26 11:52:10 2008 begin with 41652239 relations and 32584723 unique ideals Sat Jul 26 11:55:52 2008 reduce to 41627546 relations and 31663062 ideals in 6 passes Sat Jul 26 11:55:52 2008 max relations containing the same ideal: 20 Sat Jul 26 11:58:25 2008 removing 1282533 relations and 882533 ideals in 400000 cliques Sat Jul 26 11:58:31 2008 commencing in-memory singleton removal Sat Jul 26 11:59:02 2008 begin with 40345013 relations and 31663062 unique ideals Sat Jul 26 12:01:50 2008 reduce to 40319547 relations and 30754799 ideals in 5 passes Sat Jul 26 12:01:50 2008 max relations containing the same ideal: 20 Sat Jul 26 12:04:20 2008 removing 1272830 relations and 872830 ideals in 400000 cliques Sat Jul 26 12:04:25 2008 commencing in-memory singleton removal Sat Jul 26 12:04:51 2008 begin with 39046717 relations and 30754799 unique ideals Sat Jul 26 12:07:25 2008 reduce to 39019709 relations and 29854711 ideals in 5 passes Sat Jul 26 12:07:25 2008 max relations containing the same ideal: 20 Sat Jul 26 12:09:53 2008 removing 1279500 relations and 879500 ideals in 400000 cliques Sat Jul 26 12:09:57 2008 commencing in-memory singleton removal Sat Jul 26 12:10:24 2008 begin with 37740209 relations and 29854711 unique ideals Sat Jul 26 12:13:01 2008 reduce to 37713384 relations and 28948100 ideals in 5 passes Sat Jul 26 12:13:01 2008 max relations containing the same ideal: 20 Sat Jul 26 12:15:22 2008 removing 1269779 relations and 869779 ideals in 400000 cliques Sat Jul 26 12:15:25 2008 commencing in-memory singleton removal Sat Jul 26 12:15:52 2008 begin with 36443605 relations and 28948100 unique ideals Sat Jul 26 12:18:22 2008 reduce to 36415535 relations and 28049951 ideals in 5 passes Sat Jul 26 12:18:22 2008 max relations containing the same ideal: 20 Sat Jul 26 12:20:34 2008 removing 1265831 relations and 865831 ideals in 400000 cliques Sat Jul 26 12:20:41 2008 commencing in-memory singleton removal Sat Jul 26 12:21:03 2008 begin with 35149704 relations and 28049951 unique ideals Sat Jul 26 12:23:36 2008 reduce to 35120077 relations and 27154184 ideals in 5 passes Sat Jul 26 12:23:36 2008 max relations containing the same ideal: 19 Sat Jul 26 12:25:42 2008 removing 1264009 relations and 864009 ideals in 400000 cliques Sat Jul 26 12:25:47 2008 commencing in-memory singleton removal Sat Jul 26 12:26:07 2008 begin with 33856068 relations and 27154184 unique ideals Sat Jul 26 12:28:19 2008 reduce to 33825213 relations and 26258950 ideals in 5 passes Sat Jul 26 12:28:19 2008 max relations containing the same ideal: 19 Sat Jul 26 12:30:24 2008 removing 1263568 relations and 863568 ideals in 400000 cliques Sat Jul 26 12:30:30 2008 commencing in-memory singleton removal Sat Jul 26 12:30:50 2008 begin with 32561645 relations and 26258950 unique ideals Sat Jul 26 12:33:27 2008 reduce to 32528604 relations and 25361941 ideals in 6 passes Sat Jul 26 12:33:27 2008 max relations containing the same ideal: 19 Sat Jul 26 12:35:29 2008 removing 1267185 relations and 867185 ideals in 400000 cliques Sat Jul 26 12:35:32 2008 commencing in-memory singleton removal Sat Jul 26 12:35:57 2008 begin with 31261419 relations and 25361941 unique ideals Sat Jul 26 12:38:04 2008 reduce to 31226729 relations and 24459635 ideals in 5 passes Sat Jul 26 12:38:04 2008 max relations containing the same ideal: 19 Sat Jul 26 12:39:57 2008 removing 1269488 relations and 869488 ideals in 400000 cliques Sat Jul 26 12:39:59 2008 commencing in-memory singleton removal Sat Jul 26 12:40:20 2008 begin with 29957241 relations and 24459635 unique ideals Sat Jul 26 12:42:20 2008 reduce to 29920620 relations and 23553044 ideals in 5 passes Sat Jul 26 12:42:20 2008 max relations containing the same ideal: 19 Sat Jul 26 12:44:14 2008 removing 1273455 relations and 873455 ideals in 400000 cliques Sat Jul 26 12:44:19 2008 commencing in-memory singleton removal Sat Jul 26 12:44:39 2008 begin with 28647165 relations and 23553044 unique ideals Sat Jul 26 12:46:32 2008 reduce to 28607483 relations and 22639378 ideals in 5 passes Sat Jul 26 12:46:32 2008 max relations containing the same ideal: 18 Sat Jul 26 12:48:11 2008 removing 899556 relations and 638821 ideals in 260735 cliques Sat Jul 26 12:48:15 2008 commencing in-memory singleton removal Sat Jul 26 12:48:37 2008 begin with 27707927 relations and 22639378 unique ideals Sat Jul 26 12:50:51 2008 reduce to 27688336 relations and 21980807 ideals in 6 passes Sat Jul 26 12:50:51 2008 max relations containing the same ideal: 18 Sat Jul 26 12:52:36 2008 relations with 0 large ideals: 334016 Sat Jul 26 12:52:36 2008 relations with 1 large ideals: 2164573 Sat Jul 26 12:52:36 2008 relations with 2 large ideals: 6127498 Sat Jul 26 12:52:36 2008 relations with 3 large ideals: 8797140 Sat Jul 26 12:52:36 2008 relations with 4 large ideals: 6887811 Sat Jul 26 12:52:36 2008 relations with 5 large ideals: 2899338 Sat Jul 26 12:52:36 2008 relations with 6 large ideals: 444313 Sat Jul 26 12:52:36 2008 relations with 7+ large ideals: 33647 Sat Jul 26 12:52:36 2008 commencing 2-way merge Sat Jul 26 12:54:41 2008 reduce to 20325138 relation sets and 14617609 unique ideals Sat Jul 26 12:54:41 2008 commencing full merge Sat Jul 26 13:16:04 2008 memory use: 1349.0 MB Sat Jul 26 13:16:08 2008 found 10438891 cycles, need 9651809 Sat Jul 26 13:16:28 2008 weight of 9651809 cycles is about 675724193 (70.01/cycle) Sat Jul 26 13:16:28 2008 distribution of cycle lengths: Sat Jul 26 13:16:28 2008 1 relations: 832194 Sat Jul 26 13:16:28 2008 2 relations: 1117515 Sat Jul 26 13:16:28 2008 3 relations: 1298545 Sat Jul 26 13:16:28 2008 4 relations: 1308493 Sat Jul 26 13:16:28 2008 5 relations: 1256695 Sat Jul 26 13:16:28 2008 6 relations: 1109884 Sat Jul 26 13:16:28 2008 7 relations: 934611 Sat Jul 26 13:16:28 2008 8 relations: 742374 Sat Jul 26 13:16:28 2008 9 relations: 560391 Sat Jul 26 13:16:28 2008 10+ relations: 491107 Sat Jul 26 13:16:28 2008 heaviest cycle: 12 relations Sat Jul 26 13:16:42 2008 commencing cycle optimization Sat Jul 26 13:19:00 2008 start with 47682172 relations Sat Jul 26 13:29:35 2008 pruned 945732 relations Sat Jul 26 13:29:36 2008 memory use: 1582.0 MB Sat Jul 26 13:29:36 2008 distribution of cycle lengths: Sat Jul 26 13:29:36 2008 1 relations: 832194 Sat Jul 26 13:29:36 2008 2 relations: 1136779 Sat Jul 26 13:29:36 2008 3 relations: 1340601 Sat Jul 26 13:29:36 2008 4 relations: 1341095 Sat Jul 26 13:29:36 2008 5 relations: 1297436 Sat Jul 26 13:29:36 2008 6 relations: 1133647 Sat Jul 26 13:29:36 2008 7 relations: 948197 Sat Jul 26 13:29:36 2008 8 relations: 728587 Sat Jul 26 13:29:36 2008 9 relations: 515950 Sat Jul 26 13:29:36 2008 10+ relations: 377323 Sat Jul 26 13:29:36 2008 heaviest cycle: 12 relations Sat Jul 26 13:31:26 2008 Sat Jul 26 13:31:57 2008 commencing linear algebra Sat Jul 26 13:32:01 2008 read 9651809 cycles Sat Jul 26 13:39:29 2008 cycles contain 25588607 unique relations Sat Jul 26 13:45:01 2008 read 25588607 relations Sat Jul 26 13:50:34 2008 using 32 quadratic characters above 1073739308 Sat Jul 26 13:56:53 2008 building initial matrix Sat Jul 26 14:45:15 2008 memory use: 3250.7 MB Sat Jul 26 14:45:43 2008 read 9651809 cycles Sat Jul 26 14:46:07 2008 matrix is 9651482 x 9651809 (2889.8 MB) with weight 896365967 (92.87/col) Sat Jul 26 14:46:07 2008 sparse part has weight 651385931 (67.49/col) Sat Jul 26 15:10:22 2008 filtering completed in 3 passes Sat Jul 26 15:10:34 2008 matrix is 9634751 x 9634951 (2887.9 MB) with weight 895642222 (92.96/col) Sat Jul 26 15:10:34 2008 sparse part has weight 651073225 (67.57/col) Sat Jul 26 15:14:32 2008 read 9634951 cycles Sat Jul 26 15:14:59 2008 matrix is 9634751 x 9634951 (2887.9 MB) with weight 895642222 (92.96/col) Sat Jul 26 15:14:59 2008 sparse part has weight 651073225 (67.57/col) Sat Jul 26 15:15:00 2008 saving the first 48 matrix rows for later Sat Jul 26 15:15:24 2008 matrix is 9634703 x 9634951 (2762.6 MB) with weight 684038199 (71.00/col) Sat Jul 26 15:15:26 2008 sparse part has weight 627849882 (65.16/col) Sat Jul 26 15:15:26 2008 matrix includes 64 packed rows Sat Jul 26 15:15:26 2008 using block size 65536 for processor cache size 2048 kB Sat Jul 26 15:17:21 2008 commencing Lanczos iteration Sat Jul 26 15:17:21 2008 memory use: 2696.6 MB Sun Jul 27 00:48:39 2008 lanczos halted after 677 iterations (dim = 42783) Sun Jul 27 00:48:39 2008 elapsed time 30:34:13 Tue Jul 29 09:28:41 2008 Tue Jul 29 09:28:41 2008 Tue Jul 29 09:28:41 2008 Msieve v. 1.36 Tue Jul 29 09:28:41 2008 random seeds: 2fd6ac69 1d8788c8 Tue Jul 29 09:28:41 2008 factoring 28403424180675214853098193865490057014063902497128388709439092464457771134002915643684447027365842305085064624764952215406305213940449664683336683993252753113631311980573532223712991612038027498881491551745039965087318065889563 (227 digits) Tue Jul 29 09:28:44 2008 no P-1/P+1/ECM available, skipping Tue Jul 29 09:28:44 2008 commencing number field sieve (227-digit input) Tue Jul 29 09:28:44 2008 R0: -1 Tue Jul 29 09:28:44 2008 R1: 29098125988731506183153025616435306561536 Tue Jul 29 09:28:44 2008 A0: -6 Tue Jul 29 09:28:44 2008 A1: 0 Tue Jul 29 09:28:44 2008 A2: 0 Tue Jul 29 09:28:44 2008 A3: 0 Tue Jul 29 09:28:44 2008 A4: 0 Tue Jul 29 09:28:44 2008 A5: 0 Tue Jul 29 09:28:44 2008 A6: 1 Tue Jul 29 09:28:44 2008 size score = 1.053811e-11, Murphy alpha = 1.872322, combined = 6.172159e-12 Tue Jul 29 09:28:44 2008 Tue Jul 29 09:28:44 2008 commencing linear algebra Tue Jul 29 09:28:48 2008 read 9634951 cycles Tue Jul 29 09:29:07 2008 matrix is 9634751 x 9634951 (2887.9 MB) with weight 895642222 (92.96/col) Tue Jul 29 09:29:07 2008 sparse part has weight 651073225 (67.57/col) Tue Jul 29 09:29:09 2008 saving the first 48 matrix rows for later Tue Jul 29 09:29:28 2008 matrix is 9634703 x 9634951 (2762.6 MB) with weight 684038199 (71.00/col) Tue Jul 29 09:29:29 2008 sparse part has weight 627849882 (65.16/col) Tue Jul 29 09:29:29 2008 matrix includes 64 packed rows Tue Jul 29 09:29:29 2008 using block size 65536 for processor cache size 2048 kB Tue Jul 29 09:31:19 2008 commencing Lanczos iteration (8 threads) Tue Jul 29 09:31:19 2008 memory use: 3211.2 MB Tue Jul 29 09:31:20 2008 restarting at iteration 677 (dim = 42783) Sun Aug 24 16:16:45 2008 lanczos halted after 152364 iterations (dim = 9634699) Sun Aug 24 16:17:16 2008 recovered 46 nontrivial dependencies Sun Aug 24 16:17:18 2008 Sun Aug 24 16:17:18 2008 commencing square root phase Sun Aug 24 16:17:18 2008 reading relations for dependency 1 Sun Aug 24 16:17:22 2008 read 4817850 cycles Sun Aug 24 16:18:22 2008 cycles contain 15921915 unique relations Sun Aug 24 16:25:51 2008 read 15921915 relations Sun Aug 24 16:38:20 2008 multiplying 23359204 relations Sun Aug 24 19:34:44 2008 multiply complete, coefficients have about 584.91 million bits Sun Aug 24 19:35:09 2008 initial square root is modulo 176983 Mon Aug 25 02:28:38 2008 reading relations for dependency 2 Mon Aug 25 02:28:46 2008 read 4816795 cycles Mon Aug 25 02:31:01 2008 cycles contain 15919162 unique relations Mon Aug 25 02:35:14 2008 read 15919162 relations Mon Aug 25 02:49:32 2008 multiplying 23353396 relations Mon Aug 25 05:48:07 2008 multiply complete, coefficients have about 584.75 million bits Mon Aug 25 05:48:31 2008 initial square root is modulo 176383 Mon Aug 25 12:44:45 2008 prp79 factor: 1145667266428264694407427870250002852640339971370109925272739002529333927038171 Mon Aug 25 12:44:45 2008 prp149 factor: 24792036058798996101053575307586212409338449264440495523865643056877039547875362959703815546469665515784347437002878676482850656140841397591840911553 Mon Aug 25 12:44:45 2008 elapsed time 651:16:04 |
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#77 |
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Nov 2003
22·5·373 Posts |
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