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- Wed Oct 14 13:04:29 2026 Msieve v. 1.54 (SVN unknown)
- Wed Oct 14 13:04:29 2026 random seeds: d47a2216 b0c86b97
- Wed Oct 14 13:04:29 2026 factoring 363447233710605963194808177615022997540216625147793857964242575674695599685570338055927254261326103411666739033727084119909288316991703431480616840492527764992775292048398344088592677 (183 digits)
- Wed Oct 14 13:04:30 2026 no P-1/P+1/ECM available, skipping
- Wed Oct 14 13:04:30 2026 commencing number field sieve (183-digit input)
- Wed Oct 14 13:04:30 2026 R0: -360055283022249698710129178690137937
- Wed Oct 14 13:04:30 2026 R1: 51119016824903983631527
- Wed Oct 14 13:04:30 2026 A0: 2621826257271165251304547295183012474361120
- Wed Oct 14 13:04:30 2026 A1: 104580393907031557500793667407936116
- Wed Oct 14 13:04:30 2026 A2: -16875397478152808580068644211
- Wed Oct 14 13:04:30 2026 A3: -537391813023145960859
- Wed Oct 14 13:04:30 2026 A4: 19679718928706
- Wed Oct 14 13:04:30 2026 A5: 120120
- Wed Oct 14 13:04:30 2026 skew 27213183.93, size 1.002e-17, alpha -5.724, combined = 7.252e-14 rroots = 5
- Wed Oct 14 13:04:30 2026
- Wed Oct 14 13:04:30 2026 commencing relation filtering
- Wed Oct 14 13:04:30 2026 setting target matrix density to 96.0
- Wed Oct 14 13:04:30 2026 estimated available RAM is 128741.9 MB
- Wed Oct 14 13:04:30 2026 commencing duplicate removal, pass 1
- Wed Oct 14 13:08:34 2026 error -15 reading relation 20029438
- Wed Oct 14 13:10:15 2026 error -6 reading relation 28308064
- Wed Oct 14 13:47:36 2026 error -1 reading relation 199383138
- Wed Oct 14 13:57:48 2026 error -11 reading relation 243782987
- Wed Oct 14 14:55:18 2026 skipped 6 malformed relations
- Wed Oct 14 14:55:18 2026 found 28490542 hash collisions in 514540832 relations
- Wed Oct 14 14:55:18 2026 cached 514540842 relation coordinates for pass 2 (8363.3 MB)
- Wed Oct 14 14:55:50 2026 added 122247 free relations
- Wed Oct 14 14:55:50 2026 commencing duplicate removal, pass 2
- Wed Oct 14 14:56:58 2026 found 0 duplicates and 514663079 unique relations
- Wed Oct 14 14:56:58 2026 memory use: 2880.0 MB
- Wed Oct 14 14:56:59 2026 reading ideals above 720000
- Wed Oct 14 14:56:59 2026 commencing singleton removal, initial pass
- Wed Oct 14 16:52:34 2026 LP64 contains 514663079 relations and 470659256 unique large ideals
- Wed Oct 14 16:52:34 2026 memory use: 17172.0 MB
- Wed Oct 14 16:52:36 2026 preparing 64-bit LP file for common filtering
- Wed Oct 14 16:52:36 2026 start with 514663079 relations and 470659256 ideals
- Wed Oct 14 17:00:18 2026 compacted LP dataset has 514663079 relations and 470659256 large ideals
- Wed Oct 14 17:00:18 2026 reading all ideals from disk
- Wed Oct 14 17:00:44 2026 memory use: 25261.7 MB
- Wed Oct 14 17:05:27 2026 ideal weight profile: 470659256 ideals, 514663079 relations, base target excess 115903, margin 43887920
- Wed Oct 14 17:05:27 2026 weight <= 10: keep 423982641, bury 46676615, target excess 46792518
- Wed Oct 14 17:05:27 2026 weight <= 15: keep 440183388, bury 30475868, target excess 30591771
- Wed Oct 14 17:05:27 2026 weight <= 20: keep 447937620, bury 22721636, target excess 22837539
- Wed Oct 14 17:05:27 2026 weight <= 25: keep 451794028, bury 18865228, target excess 18981131
- Wed Oct 14 17:05:27 2026 weight <= 30: keep 453521022, bury 17138234, target excess 17254137
- Wed Oct 14 17:05:27 2026 weight <= 35: keep 454463629, bury 16195627, target excess 16311530
- Wed Oct 14 17:05:27 2026 weight <= 40: keep 455243030, bury 15416226, target excess 15532129
- Wed Oct 14 17:05:27 2026 weight <= 45: keep 455928730, bury 14730526, target excess 14846429
- Wed Oct 14 17:05:27 2026 weight <= 100: keep 461791084, bury 8868172, target excess 8984075
- Wed Oct 14 17:05:27 2026 weight <= 200: keep 468149528, bury 2509728, target excess 2625631
- Wed Oct 14 17:05:28 2026 keeping 468149528 ideals with weight <= 200, target excess is 2625631
- Wed Oct 14 17:08:03 2026 commencing in-memory singleton removal
- Wed Oct 14 17:13:04 2026 begin with 514663079 relations and 468149528 unique ideals
- Wed Oct 14 17:13:04 2026 memory use: 3587.7 MB
- Wed Oct 14 17:18:15 2026 reduce to 318827857 relations and 251700009 ideals in 4 passes
- Wed Oct 14 17:18:15 2026 max relations containing the same ideal: 154
- Wed Oct 14 17:23:12 2026 removing 13540947 relations and 11540947 ideals in 2000000 cliques
- Wed Oct 14 17:23:22 2026 commencing in-memory singleton removal
- Wed Oct 14 17:26:07 2026 begin with 305286910 relations and 251700009 unique ideals
- Wed Oct 14 17:26:07 2026 memory use: 1936.3 MB
- Wed Oct 14 17:26:36 2026 reduce to 304869872 relations and 239738318 ideals in 1 passes
- Wed Oct 14 17:26:36 2026 max relations containing the same ideal: 149
- Wed Oct 14 17:30:33 2026 removing 10211590 relations and 8211590 ideals in 2000000 cliques
- Wed Oct 14 17:30:37 2026 commencing in-memory singleton removal
- Wed Oct 14 17:33:14 2026 begin with 294658282 relations and 239738318 unique ideals
- Wed Oct 14 17:33:14 2026 memory use: 1845.1 MB
- Wed Oct 14 17:33:41 2026 reduce to 294390112 relations and 231256627 ideals in 1 passes
- Wed Oct 14 17:33:41 2026 max relations containing the same ideal: 146
- Wed Oct 14 17:37:20 2026 removing 9157257 relations and 7157257 ideals in 2000000 cliques
- Wed Oct 14 17:37:24 2026 commencing in-memory singleton removal
- Wed Oct 14 17:39:58 2026 begin with 285232855 relations and 231256627 unique ideals
- Wed Oct 14 17:39:58 2026 memory use: 1780.3 MB
- Wed Oct 14 17:40:40 2026 reduce to 285004425 relations and 223869362 ideals in 1 passes
- Wed Oct 14 17:40:40 2026 max relations containing the same ideal: 142
- Wed Oct 14 17:44:26 2026 removing 8564880 relations and 6564880 ideals in 2000000 cliques
- Wed Oct 14 17:44:30 2026 commencing in-memory singleton removal
- Wed Oct 14 17:46:57 2026 begin with 276439545 relations and 223869362 unique ideals
- Wed Oct 14 17:46:57 2026 memory use: 1724.0 MB
- Wed Oct 14 17:47:22 2026 reduce to 276230862 relations and 217094333 ideals in 1 passes
- Wed Oct 14 17:47:22 2026 max relations containing the same ideal: 140
- Wed Oct 14 17:50:49 2026 removing 8170845 relations and 6170845 ideals in 2000000 cliques
- Wed Oct 14 17:50:53 2026 commencing in-memory singleton removal
- Wed Oct 14 17:53:16 2026 begin with 268060017 relations and 217094333 unique ideals
- Wed Oct 14 17:53:16 2026 memory use: 1672.3 MB
- Wed Oct 14 17:53:40 2026 reduce to 267863572 relations and 210725698 ideals in 1 passes
- Wed Oct 14 17:53:40 2026 max relations containing the same ideal: 137
- Wed Oct 14 17:57:05 2026 removing 7884548 relations and 5884548 ideals in 2000000 cliques
- Wed Oct 14 17:57:09 2026 commencing in-memory singleton removal
- Wed Oct 14 17:59:28 2026 begin with 259979024 relations and 210725698 unique ideals
- Wed Oct 14 17:59:28 2026 memory use: 1623.7 MB
- Wed Oct 14 17:59:51 2026 reduce to 259790790 relations and 204651577 ideals in 1 passes
- Wed Oct 14 17:59:51 2026 max relations containing the same ideal: 134
- Wed Oct 14 18:03:02 2026 removing 7668260 relations and 5668260 ideals in 2000000 cliques
- Wed Oct 14 18:03:06 2026 commencing in-memory singleton removal
- Wed Oct 14 18:05:21 2026 begin with 252122530 relations and 204651577 unique ideals
- Wed Oct 14 18:05:21 2026 memory use: 1577.4 MB
- Wed Oct 14 18:05:42 2026 reduce to 251937736 relations and 198797162 ideals in 1 passes
- Wed Oct 14 18:05:42 2026 max relations containing the same ideal: 131
- Wed Oct 14 18:09:30 2026 removing 7500030 relations and 5500030 ideals in 2000000 cliques
- Wed Oct 14 18:09:37 2026 commencing in-memory singleton removal
- Wed Oct 14 18:11:50 2026 begin with 244437706 relations and 198797162 unique ideals
- Wed Oct 14 18:11:50 2026 memory use: 1532.7 MB
- Wed Oct 14 18:12:11 2026 reduce to 244255524 relations and 193113565 ideals in 1 passes
- Wed Oct 14 18:12:11 2026 max relations containing the same ideal: 129
- Wed Oct 14 18:15:08 2026 removing 7367904 relations and 5367904 ideals in 2000000 cliques
- Wed Oct 14 18:15:12 2026 commencing in-memory singleton removal
- Wed Oct 14 18:17:20 2026 begin with 236887620 relations and 193113565 unique ideals
- Wed Oct 14 18:17:20 2026 memory use: 1489.3 MB
- Wed Oct 14 18:17:40 2026 reduce to 236708215 relations and 187564840 ideals in 1 passes
- Wed Oct 14 18:17:40 2026 max relations containing the same ideal: 126
- Wed Oct 14 18:20:37 2026 removing 7257361 relations and 5257361 ideals in 2000000 cliques
- Wed Oct 14 18:20:41 2026 commencing in-memory singleton removal
- Wed Oct 14 18:22:41 2026 begin with 229450854 relations and 187564840 unique ideals
- Wed Oct 14 18:22:41 2026 memory use: 1447.0 MB
- Wed Oct 14 18:23:01 2026 reduce to 229271418 relations and 182126524 ideals in 1 passes
- Wed Oct 14 18:23:01 2026 max relations containing the same ideal: 123
- Wed Oct 14 18:25:54 2026 removing 7169598 relations and 5169598 ideals in 2000000 cliques
- Wed Oct 14 18:25:58 2026 commencing in-memory singleton removal
- Wed Oct 14 18:27:55 2026 begin with 222101820 relations and 182126524 unique ideals
- Wed Oct 14 18:27:55 2026 memory use: 1405.5 MB
- Wed Oct 14 18:28:14 2026 reduce to 221920692 relations and 176774255 ideals in 1 passes
- Wed Oct 14 18:28:14 2026 max relations containing the same ideal: 121
- Wed Oct 14 18:30:59 2026 removing 7100267 relations and 5100267 ideals in 2000000 cliques
- Wed Oct 14 18:31:03 2026 commencing in-memory singleton removal
- Wed Oct 14 18:32:55 2026 begin with 214820425 relations and 176774255 unique ideals
- Wed Oct 14 18:32:55 2026 memory use: 1364.7 MB
- Wed Oct 14 18:33:13 2026 reduce to 214639212 relations and 171491146 ideals in 1 passes
- Wed Oct 14 18:33:13 2026 max relations containing the same ideal: 119
- Wed Oct 14 18:35:51 2026 removing 7040436 relations and 5040436 ideals in 2000000 cliques
- Wed Oct 14 18:35:54 2026 commencing in-memory singleton removal
- Wed Oct 14 18:37:41 2026 begin with 207598776 relations and 171491146 unique ideals
- Wed Oct 14 18:37:41 2026 memory use: 1324.4 MB
- Wed Oct 14 18:37:58 2026 reduce to 207414255 relations and 166264493 ideals in 1 passes
- Wed Oct 14 18:37:58 2026 max relations containing the same ideal: 116
- Wed Oct 14 18:40:31 2026 removing 6989153 relations and 4989153 ideals in 2000000 cliques
- Wed Oct 14 18:40:34 2026 commencing in-memory singleton removal
- Wed Oct 14 18:42:18 2026 begin with 200425102 relations and 166264493 unique ideals
- Wed Oct 14 18:42:18 2026 memory use: 1284.5 MB
- Wed Oct 14 18:42:40 2026 reduce to 200237096 relations and 161085554 ideals in 1 passes
- Wed Oct 14 18:42:40 2026 max relations containing the same ideal: 113
- Wed Oct 14 18:45:19 2026 removing 6951301 relations and 4951301 ideals in 2000000 cliques
- Wed Oct 14 18:45:22 2026 commencing in-memory singleton removal
- Wed Oct 14 18:47:02 2026 begin with 193285795 relations and 161085554 unique ideals
- Wed Oct 14 18:47:02 2026 memory use: 1245.0 MB
- Wed Oct 14 18:47:19 2026 reduce to 193094567 relations and 155941072 ideals in 1 passes
- Wed Oct 14 18:47:19 2026 max relations containing the same ideal: 110
- Wed Oct 14 18:49:42 2026 removing 6927124 relations and 4927124 ideals in 2000000 cliques
- Wed Oct 14 18:49:45 2026 commencing in-memory singleton removal
- Wed Oct 14 18:51:21 2026 begin with 186167443 relations and 155941072 unique ideals
- Wed Oct 14 18:51:21 2026 memory use: 1205.7 MB
- Wed Oct 14 18:51:37 2026 reduce to 185971047 relations and 150815519 ideals in 1 passes
- Wed Oct 14 18:51:37 2026 max relations containing the same ideal: 106
- Wed Oct 14 18:53:52 2026 removing 6908940 relations and 4908940 ideals in 2000000 cliques
- Wed Oct 14 18:53:55 2026 commencing in-memory singleton removal
- Wed Oct 14 18:55:26 2026 begin with 179062107 relations and 150815519 unique ideals
- Wed Oct 14 18:55:26 2026 memory use: 1166.6 MB
- Wed Oct 14 18:55:41 2026 reduce to 178860640 relations and 145702972 ideals in 1 passes
- Wed Oct 14 18:55:41 2026 max relations containing the same ideal: 105
- Wed Oct 14 18:57:47 2026 removing 6894679 relations and 4894679 ideals in 2000000 cliques
- Wed Oct 14 18:57:50 2026 commencing in-memory singleton removal
- Wed Oct 14 18:59:14 2026 begin with 171965961 relations and 145702972 unique ideals
- Wed Oct 14 18:59:14 2026 memory use: 1127.6 MB
- Wed Oct 14 18:59:28 2026 reduce to 171757339 relations and 140597340 ideals in 1 passes
- Wed Oct 14 18:59:28 2026 max relations containing the same ideal: 103
- Wed Oct 14 19:01:57 2026 removing 6893091 relations and 4893091 ideals in 2000000 cliques
- Wed Oct 14 19:02:02 2026 commencing in-memory singleton removal
- Wed Oct 14 19:03:25 2026 begin with 164864248 relations and 140597340 unique ideals
- Wed Oct 14 19:03:25 2026 memory use: 1088.7 MB
- Wed Oct 14 19:03:39 2026 reduce to 164647231 relations and 135484755 ideals in 1 passes
- Wed Oct 14 19:03:39 2026 max relations containing the same ideal: 100
- Wed Oct 14 19:05:40 2026 removing 6894079 relations and 4894079 ideals in 2000000 cliques
- Wed Oct 14 19:05:42 2026 commencing in-memory singleton removal
- Wed Oct 14 19:07:01 2026 begin with 157753152 relations and 135484755 unique ideals
- Wed Oct 14 19:07:01 2026 memory use: 1049.7 MB
- Wed Oct 14 19:07:13 2026 reduce to 157527347 relations and 130362138 ideals in 1 passes
- Wed Oct 14 19:07:13 2026 max relations containing the same ideal: 98
- Wed Oct 14 19:09:09 2026 removing 6902997 relations and 4902997 ideals in 2000000 cliques
- Wed Oct 14 19:09:11 2026 commencing in-memory singleton removal
- Wed Oct 14 19:10:26 2026 begin with 150624350 relations and 130362138 unique ideals
- Wed Oct 14 19:10:26 2026 memory use: 1010.6 MB
- Wed Oct 14 19:10:46 2026 reduce to 150388251 relations and 125220162 ideals in 1 passes
- Wed Oct 14 19:10:46 2026 max relations containing the same ideal: 94
- Wed Oct 14 19:12:32 2026 removing 6918954 relations and 4918954 ideals in 2000000 cliques
- Wed Oct 14 19:12:35 2026 commencing in-memory singleton removal
- Wed Oct 14 19:13:45 2026 begin with 143469297 relations and 125220162 unique ideals
- Wed Oct 14 19:13:45 2026 memory use: 971.4 MB
- Wed Oct 14 19:13:56 2026 reduce to 143221606 relations and 120050230 ideals in 1 passes
- Wed Oct 14 19:13:56 2026 max relations containing the same ideal: 90
- Wed Oct 14 19:15:55 2026 removing 6949335 relations and 4949335 ideals in 2000000 cliques
- Wed Oct 14 19:15:58 2026 commencing in-memory singleton removal
- Wed Oct 14 19:17:05 2026 begin with 136272271 relations and 120050230 unique ideals
- Wed Oct 14 19:17:05 2026 memory use: 931.9 MB
- Wed Oct 14 19:17:16 2026 reduce to 136009924 relations and 114834933 ideals in 1 passes
- Wed Oct 14 19:17:16 2026 max relations containing the same ideal: 87
- Wed Oct 14 19:18:55 2026 removing 6984387 relations and 4984387 ideals in 2000000 cliques
- Wed Oct 14 19:18:57 2026 commencing in-memory singleton removal
- Wed Oct 14 19:20:00 2026 begin with 129025537 relations and 114834933 unique ideals
- Wed Oct 14 19:20:00 2026 memory use: 892.1 MB
- Wed Oct 14 19:20:16 2026 reduce to 128747730 relations and 109568847 ideals in 1 passes
- Wed Oct 14 19:20:16 2026 max relations containing the same ideal: 84
- Wed Oct 14 19:22:13 2026 removing 7022332 relations and 5022332 ideals in 2000000 cliques
- Wed Oct 14 19:22:16 2026 commencing in-memory singleton removal
- Wed Oct 14 19:23:16 2026 begin with 121725398 relations and 109568847 unique ideals
- Wed Oct 14 19:23:16 2026 memory use: 851.9 MB
- Wed Oct 14 19:23:26 2026 reduce to 121427899 relations and 104244535 ideals in 1 passes
- Wed Oct 14 19:23:26 2026 max relations containing the same ideal: 81
- Wed Oct 14 19:24:55 2026 removing 7084897 relations and 5084897 ideals in 2000000 cliques
- Wed Oct 14 19:24:57 2026 commencing in-memory singleton removal
- Wed Oct 14 19:25:52 2026 begin with 114343002 relations and 104244535 unique ideals
- Wed Oct 14 19:25:52 2026 memory use: 811.3 MB
- Wed Oct 14 19:26:02 2026 reduce to 114022748 relations and 98834505 ideals in 1 passes
- Wed Oct 14 19:26:02 2026 max relations containing the same ideal: 79
- Wed Oct 14 19:27:23 2026 removing 7154684 relations and 5154684 ideals in 2000000 cliques
- Wed Oct 14 19:27:25 2026 commencing in-memory singleton removal
- Wed Oct 14 19:28:17 2026 begin with 106868064 relations and 98834505 unique ideals
- Wed Oct 14 19:28:17 2026 memory use: 770.0 MB
- Wed Oct 14 19:28:29 2026 reduce to 106519923 relations and 93326075 ideals in 1 passes
- Wed Oct 14 19:28:29 2026 max relations containing the same ideal: 74
- Wed Oct 14 19:29:48 2026 removing 7238072 relations and 5238072 ideals in 2000000 cliques
- Wed Oct 14 19:29:50 2026 commencing in-memory singleton removal
- Wed Oct 14 19:30:36 2026 begin with 99281851 relations and 93326075 unique ideals
- Wed Oct 14 19:30:36 2026 memory use: 728.0 MB
- Wed Oct 14 19:30:45 2026 reduce to 98899193 relations and 87698778 ideals in 1 passes
- Wed Oct 14 19:30:45 2026 max relations containing the same ideal: 69
- Wed Oct 14 19:32:13 2026 removing 7340871 relations and 5340871 ideals in 2000000 cliques
- Wed Oct 14 19:32:14 2026 commencing in-memory singleton removal
- Wed Oct 14 19:32:58 2026 begin with 91558322 relations and 87698778 unique ideals
- Wed Oct 14 19:32:58 2026 memory use: 685.1 MB
- Wed Oct 14 19:33:10 2026 reduce to 91134069 relations and 81926010 ideals in 1 passes
- Wed Oct 14 19:33:10 2026 max relations containing the same ideal: 66
- Wed Oct 14 19:34:35 2026 removing 7470660 relations and 5470660 ideals in 2000000 cliques
- Wed Oct 14 19:34:37 2026 commencing in-memory singleton removal
- Wed Oct 14 19:35:17 2026 begin with 83663409 relations and 81926010 unique ideals
- Wed Oct 14 19:35:17 2026 memory use: 641.0 MB
- Wed Oct 14 19:35:24 2026 reduce to 83184340 relations and 75967451 ideals in 1 passes
- Wed Oct 14 19:35:24 2026 max relations containing the same ideal: 64
- Wed Oct 14 19:36:40 2026 removing 7624510 relations and 5624510 ideals in 2000000 cliques
- Wed Oct 14 19:36:41 2026 commencing in-memory singleton removal
- Wed Oct 14 19:37:17 2026 begin with 75559830 relations and 75967451 unique ideals
- Wed Oct 14 19:37:17 2026 memory use: 595.6 MB
- Wed Oct 14 19:37:26 2026 reduce to 75007989 relations and 69779702 ideals in 1 passes
- Wed Oct 14 19:37:26 2026 max relations containing the same ideal: 58
- Wed Oct 14 19:38:36 2026 removing 7818809 relations and 5818809 ideals in 2000000 cliques
- Wed Oct 14 19:38:38 2026 commencing in-memory singleton removal
- Wed Oct 14 19:39:10 2026 begin with 67189180 relations and 69779702 unique ideals
- Wed Oct 14 19:39:10 2026 memory use: 548.4 MB
- Wed Oct 14 19:39:15 2026 reduce to 66534611 relations and 63291871 ideals in 1 passes
- Wed Oct 14 19:39:15 2026 max relations containing the same ideal: 55
- Wed Oct 14 19:40:06 2026 removing 1209866 relations and 1012858 ideals in 197008 cliques
- Wed Oct 14 19:40:08 2026 commencing in-memory singleton removal
- Wed Oct 14 19:40:39 2026 begin with 65324745 relations and 63291871 unique ideals
- Wed Oct 14 19:40:39 2026 memory use: 498.9 MB
- Wed Oct 14 19:40:45 2026 reduce to 65310061 relations and 62264282 ideals in 1 passes
- Wed Oct 14 19:40:45 2026 max relations containing the same ideal: 54
- Wed Oct 14 19:40:57 2026 relations with 0 large ideals: 9265
- Wed Oct 14 19:40:57 2026 relations with 1 large ideals: 102618
- Wed Oct 14 19:40:57 2026 relations with 2 large ideals: 1178018
- Wed Oct 14 19:40:57 2026 relations with 3 large ideals: 5458084
- Wed Oct 14 19:40:57 2026 relations with 4 large ideals: 13220718
- Wed Oct 14 19:40:57 2026 relations with 5 large ideals: 18533413
- Wed Oct 14 19:40:57 2026 relations with 6 large ideals: 15737709
- Wed Oct 14 19:40:57 2026 relations with 7+ large ideals: 11070236
- Wed Oct 14 19:40:57 2026 commencing 2-way merge
- Wed Oct 14 19:42:15 2026 reduce to 39767270 relation sets and 36721491 unique ideals
- Wed Oct 14 19:42:15 2026 commencing full merge
- Wed Oct 14 19:53:35 2026 memory use: 4449.7 MB
- Wed Oct 14 19:53:36 2026 found 19228027 cycles, need 18817691
- Wed Oct 14 19:53:41 2026 weight of 18817691 cycles is about 1806555971 (96.00/cycle)
- Wed Oct 14 19:53:41 2026 distribution of cycle lengths:
- Wed Oct 14 19:53:41 2026 1 relations: 1739719
- Wed Oct 14 19:53:41 2026 2 relations: 1588662
- Wed Oct 14 19:53:41 2026 3 relations: 1654462
- Wed Oct 14 19:53:41 2026 4 relations: 1633046
- Wed Oct 14 19:53:41 2026 5 relations: 1662188
- Wed Oct 14 19:53:41 2026 6 relations: 1588592
- Wed Oct 14 19:53:41 2026 7 relations: 1523072
- Wed Oct 14 19:53:41 2026 8 relations: 1392443
- Wed Oct 14 19:53:41 2026 9 relations: 1245824
- Wed Oct 14 19:53:41 2026 10+ relations: 4789683
- Wed Oct 14 19:53:41 2026 heaviest cycle: 21 relations
- Wed Oct 14 19:53:46 2026 commencing cycle optimization
- Wed Oct 14 19:54:35 2026 start with 127299272 relations
- Wed Oct 14 19:58:56 2026 pruned 4026813 relations
- Wed Oct 14 19:58:56 2026 memory use: 4139.5 MB
- Wed Oct 14 19:58:56 2026 distribution of cycle lengths:
- Wed Oct 14 19:58:56 2026 1 relations: 1739719
- Wed Oct 14 19:58:56 2026 2 relations: 1627421
- Wed Oct 14 19:58:56 2026 3 relations: 1715871
- Wed Oct 14 19:58:56 2026 4 relations: 1689582
- Wed Oct 14 19:58:56 2026 5 relations: 1725525
- Wed Oct 14 19:58:56 2026 6 relations: 1646290
- Wed Oct 14 19:58:56 2026 7 relations: 1576435
- Wed Oct 14 19:58:56 2026 8 relations: 1431056
- Wed Oct 14 19:58:56 2026 9 relations: 1271286
- Wed Oct 14 19:58:56 2026 10+ relations: 4394506
- Wed Oct 14 19:58:56 2026 heaviest cycle: 21 relations
- Wed Oct 14 19:59:12 2026 RelProcTime: 24882
- Wed Oct 14 19:59:12 2026
- Wed Oct 14 19:59:12 2026 commencing linear algebra
- Wed Oct 14 19:59:12 2026 using VBITS=128
- Wed Oct 14 19:59:15 2026 read 18817691 cycles
- Wed Oct 14 20:00:08 2026 cycles contain 63571314 unique relations
- Wed Oct 14 20:13:30 2026 read 63571314 relations
- Wed Oct 14 20:16:02 2026 using 20 quadratic characters above 4294917295
- Wed Oct 14 20:22:24 2026 building initial matrix
- Wed Oct 14 20:36:37 2026 memory use: 8664.3 MB
- Wed Oct 14 20:36:53 2026 read 18817691 cycles
- Wed Oct 14 20:36:57 2026 matrix is 18817506 x 18817691 (7412.2 MB) with weight 2276454816 (120.97/col)
- Wed Oct 14 20:36:57 2026 sparse part has weight 1717247693 (91.26/col)
- Wed Oct 14 20:45:26 2026 filtering completed in 2 passes
- Wed Oct 14 20:45:31 2026 matrix is 18811841 x 18812025 (7411.6 MB) with weight 2276203972 (121.00/col)
- Wed Oct 14 20:45:31 2026 sparse part has weight 1717164423 (91.28/col)
- Wed Oct 14 20:47:19 2026 matrix starts at (0, 0)
- Wed Oct 14 20:47:22 2026 matrix is 18811841 x 18812025 (7411.6 MB) with weight 2276203972 (121.00/col)
- Wed Oct 14 20:47:22 2026 sparse part has weight 1717164423 (91.28/col)
- Wed Oct 14 20:47:22 2026 saving the first 112 matrix rows for later
- Wed Oct 14 20:47:25 2026 matrix includes 128 packed rows
- Wed Oct 14 20:47:30 2026 matrix is 18811729 x 18812025 (6901.9 MB) with weight 1698714693 (90.30/col)
- Wed Oct 14 20:47:30 2026 sparse part has weight 1583539944 (84.18/col)
- Wed Oct 14 20:47:30 2026 using GPU 0 (Tesla P100-PCIE-16GB)
- Wed Oct 14 20:47:30 2026 selected card has CUDA arch 6.0
- Wed Oct 14 20:47:31 2026 computed block_nnz 128000000 (L2 cache 4194304 bytes, average column weight 84.2)
- Wed Oct 14 20:47:31 2026 nonzeros per matrix block: 128000000
- Wed Oct 14 20:47:31 2026 SpMV kernel: auto (by nonzeros per row)
- Wed Oct 14 20:47:52 2026 GPU memory: 16004 MB free, 2009 MB for vectors, 13708 MB for sparse matrix blocks (14073 MB needed)
- Wed Oct 14 20:47:52 2026 leaving 256 MB of GPU memory free while streaming (use max_gpu_mem=N to change)
- Wed Oct 14 20:51:23 2026 streaming 4 of 27 matrix blocks (2207 MB) from pinned host memory through 2 560 MB buffers
- Wed Oct 14 20:51:23 2026 commencing Lanczos iteration
- Wed Oct 14 20:51:24 2026 memory use: 15228.8 MB
- Wed Oct 14 20:53:55 2026 linear algebra at 0.2%, ETA 25h37m
- Wed Oct 14 20:54:32 2026 checking every 10000 dimensions, checkpointing every 740000 dimensions
- Thu Oct 15 21:20:19 2026 lanczos halted after 147858 iterations (dim = 18811727)
- Thu Oct 15 21:21:00 2026 recovered 30 nontrivial dependencies
- Thu Oct 15 21:21:01 2026 LinearAlgebraTime: 91309
- Thu Oct 15 21:21:01 2026
- Thu Oct 15 21:21:01 2026 commencing square root phase
- Thu Oct 15 21:21:01 2026 handling dependencies 1 to 64
- Thu Oct 15 21:21:01 2026 reading relations for dependency 1
- Thu Oct 15 21:21:06 2026 read 9403990 cycles
- Thu Oct 15 21:21:26 2026 cycles contain 31772956 unique relations
- Thu Oct 15 21:28:16 2026 read 31772956 relations
- Thu Oct 15 21:31:33 2026 multiplying 31772956 relations
- Thu Oct 15 21:31:35 2026 square root: using GPU for the lift, 5.2 GB of buffers for a modulus up to 760610726 bits
- Thu Oct 15 21:31:35 2026 square root: mod(x) has degree 4 and is not monic
- Thu Oct 15 21:31:35 2026 product tree: GPU sample 1 of 3 at 2.83 Mbit (widest 2.93): GPU 29.3 ms, CPU 26.6 ms, 0.91x
- Thu Oct 15 21:31:35 2026 product tree: GPU verified against CPU at 2.83 Mbit, 0.9x one CPU multiply, so levels up to 0 nodes
- Thu Oct 15 21:31:37 2026 product tree: GPU sample 2 of 3 at 3.56 Mbit (widest 3.56): GPU 21.7 ms, CPU 193.6 ms, 8.91x
- Thu Oct 15 21:31:37 2026 product tree: GPU verified against CPU at 3.56 Mbit, 0.9x one CPU multiply, so levels up to 0 nodes
- Thu Oct 15 21:31:38 2026 product tree: GPU sample 3 of 3 at 6.39 Mbit (widest 7.13): GPU 32.5 ms, CPU 398.6 ms, 12.26x
- Thu Oct 15 21:31:38 2026 product tree: GPU verified against CPU at 6.39 Mbit, 8.9x one CPU multiply, so levels up to 8 nodes
- Thu Oct 15 21:31:41 2026 product tree: level 9 (512 nodes, 3.6 Mbit): GPU 0.02 s, CPU 0.19 s, 8.69x, card loses here
- Thu Oct 15 21:31:46 2026 product tree: level 8 (256 nodes, 7.1 Mbit): GPU 0.03 s, CPU 0.42 s, 12.46x, card loses here
- Thu Oct 15 21:31:51 2026 product tree: level 7 (128 nodes, 13.5 Mbit): GPU 0.06 s, CPU 0.97 s, 15.15x, card loses here
- Thu Oct 15 21:32:12 2026 product tree: level 6 (64 nodes, 27.8 Mbit): GPU 0.15 s, CPU 2.20 s, 14.80x, card loses here
- Thu Oct 15 21:32:59 2026 product tree: level 5 (32 nodes, 56.4 Mbit): GPU 0.30 s, CPU 4.89 s, 16.44x, card loses here
- Thu Oct 15 21:34:46 2026 product tree: level 4 (16 nodes, 113.5 Mbit): GPU 0.60 s, CPU 11.59 s, 19.34x, card wins here
- Thu Oct 15 21:57:44 2026 product tree: growing the GPU context to 1.81 Gbit
- Thu Oct 15 21:57:44 2026 square root: using GPU for the lift, 11.6 GB of buffers for a modulus up to 1811090048 bits
- Thu Oct 15 21:57:44 2026 square root: mod(x) has degree 4 and is not monic
- Thu Oct 15 21:57:55 2026 multiply complete, coefficients have about 1811.09 million bits
- Thu Oct 15 21:58:08 2026 initial square root is modulo 133055053
- Thu Oct 15 22:02:22 2026 square root: prod mod q chained over 24 steps, 0.57 GB, 108.4 s
- Thu Oct 15 22:02:23 2026 square root: GPU lift verified against CPU in 0.23 s, continuing on the GPU
- Thu Oct 15 22:13:03 2026 sqrtTime: 3122
- Thu Oct 15 22:13:03 2026 p74 factor: 92381694337717869200648896305791755288072853400341355810878439825229083457
- Thu Oct 15 22:13:03 2026 p109 factor: 3934191035530906692910567287410993150326429243648904974542970855026035977546809784215180270146525964473567461
- Thu Oct 15 22:13:03 2026 elapsed time 33:08:34
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