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- Thu May 28 07:01:55 2026
- Thu May 28 07:01:55 2026
- Thu May 28 07:01:55 2026 Msieve v. 1.54 (SVN unknown)
- Thu May 28 07:01:55 2026 random seeds: ce63c07f 69a84c85
- Thu May 28 07:01:55 2026 Using 14 OpenMP threads
- Thu May 28 07:01:55 2026 factoring 243600447030899079425586715959916490489805935237788868739597149731701684090729001662853666166349081207091114531766501322041236322207460186952409947528588356882672565893263869102397944477 (186 digits)
- Thu May 28 07:01:56 2026 no P-1/P+1/ECM available, skipping
- Thu May 28 07:01:56 2026 commencing number field sieve (186-digit input)
- Thu May 28 07:01:56 2026 R0: -2210066096222234617067744908064566336
- Thu May 28 07:01:56 2026 R1: 17091153828898735414121
- Thu May 28 07:01:56 2026 A0: 1238605425391654080019840285231930267909621290
- Thu May 28 07:01:56 2026 A1: 54514516740235826794748826502577883771
- Thu May 28 07:01:56 2026 A2: -1942858204878646123821368039316
- Thu May 28 07:01:56 2026 A3: -5507845544814787288211
- Thu May 28 07:01:56 2026 A4: 26945498073290
- Thu May 28 07:01:56 2026 A5: 9240
- Thu May 28 07:01:56 2026 skew 263534794.91, size 5.008e-18, alpha -7.916, combined = 4.729e-14 rroots = 5
- Thu May 28 07:01:56 2026
- Thu May 28 07:01:56 2026 commencing relation filtering
- Thu May 28 07:01:56 2026 setting 3 target densities:Thu May 28 07:01:56 2026 80Thu May 28 07:01:56 2026 100Thu May 28 07:01:56 2026 120Thu May 28 07:01:56 2026
- Thu May 28 07:01:56 2026 estimated available RAM is 78540.1 MB
- Thu May 28 07:01:56 2026 commencing duplicate removal, pass 1
- Thu May 28 07:02:32 2026 error -1 reading relation 8961513
- Thu May 28 07:04:01 2026 error -1 reading relation 38172529
- Thu May 28 07:06:14 2026 error -15 reading relation 80918305
- Thu May 28 07:06:24 2026 error -1 reading relation 84257529
- Thu May 28 07:07:58 2026 error -1 reading relation 118912091
- Thu May 28 07:08:40 2026 error -1 reading relation 133688517
- Thu May 28 07:10:59 2026 error -1 reading relation 181069413
- Thu May 28 07:11:00 2026 error -1 reading relation 181459485
- Thu May 28 07:12:46 2026 error -1 reading relation 213154376
- Thu May 28 07:12:54 2026 error -1 reading relation 215577153
- Thu May 28 07:13:09 2026 error -1 reading relation 220098617
- Thu May 28 07:13:49 2026 error -1 reading relation 231706568
- Thu May 28 07:14:56 2026 error -1 reading relation 252315848
- Thu May 28 07:17:17 2026 error -1 reading relation 294912921
- Thu May 28 07:20:01 2026 error -1 reading relation 348025672
- Thu May 28 07:20:38 2026 error -1 reading relation 364089409
- Thu May 28 07:21:21 2026 error -1 reading relation 385317548
- Thu May 28 07:21:24 2026 error -1 reading relation 387442149
- Thu May 28 07:21:34 2026 error -1 reading relation 394185031
- Thu May 28 07:21:39 2026 error -1 reading relation 398081319
- Thu May 28 07:21:47 2026 error -1 reading relation 405136996
- Thu May 28 07:21:50 2026 error -1 reading relation 407772426
- Thu May 28 07:23:48 2026 error -11 reading relation 479773606
- Thu May 28 07:24:51 2026 error -1 reading relation 515881258
- Thu May 28 07:24:55 2026 error -1 reading relation 517762444
- Thu May 28 07:25:09 2026 error -1 reading relation 526932105
- Thu May 28 07:25:10 2026 error -1 reading relation 527687470
- Thu May 28 07:25:39 2026 error -1 reading relation 545993611
- Thu May 28 07:26:11 2026 error -1 reading relation 563153569
- Thu May 28 07:26:21 2026 error -1 reading relation 567356375
- Thu May 28 07:26:21 2026 error -1 reading relation 567669740
- Thu May 28 07:26:30 2026 error -1 reading relation 571736264
- Thu May 28 07:27:00 2026 error -1 reading relation 585539429
- Thu May 28 07:27:14 2026 error -1 reading relation 592012032
- Thu May 28 07:27:24 2026 error -1 reading relation 597133895
- Thu May 28 07:27:30 2026 error -1 reading relation 599639289
- Thu May 28 07:27:51 2026 error -1 reading relation 612719756
- Thu May 28 07:27:52 2026 error -1 reading relation 613233141
- Thu May 28 07:27:59 2026 error -1 reading relation 618684622
- Thu May 28 07:28:35 2026 error -1 reading relation 644309467
- Thu May 28 07:28:39 2026 error -1 reading relation 646846396
- Thu May 28 07:28:42 2026 error -1 reading relation 649434034
- Thu May 28 07:28:50 2026 error -1 reading relation 655440681
- Thu May 28 07:29:01 2026 skipped 2 relations with b > 2^32
- Thu May 28 07:29:01 2026 skipped 3 relations with composite factors
- Thu May 28 07:29:01 2026 skipped 323 malformed relations
- Thu May 28 07:29:01 2026 found 148074457 hash collisions in 664781495 relations
- Thu May 28 07:29:12 2026 added 121418 free relations
- Thu May 28 07:29:12 2026 commencing duplicate removal, pass 2
- Thu May 28 07:34:34 2026 found 160907797 duplicates and 503995116 unique relations
- Thu May 28 07:34:34 2026 memory use: 3411.0 MB
- Thu May 28 07:34:34 2026 reading ideals above 285933568
- Thu May 28 07:34:34 2026 commencing singleton removal, initial pass
- Thu May 28 07:47:12 2026 memory use: 11024.0 MB
- Thu May 28 07:47:13 2026 reading all ideals from disk
- Thu May 28 07:47:19 2026 memory use: 13134.8 MB
- Thu May 28 07:47:32 2026 commencing in-memory singleton removal
- Thu May 28 07:47:36 2026 begin with 503995116 relations and 443190274 unique ideals
- Thu May 28 07:48:02 2026 reduce to 305576113 relations and 223309269 ideals in 15 passes
- Thu May 28 07:48:02 2026 max relations containing the same ideal: 32
- Thu May 28 07:48:08 2026 reading ideals above 720000
- Thu May 28 07:48:09 2026 commencing singleton removal, initial pass
- Thu May 28 08:02:24 2026 memory use: 6024.0 MB
- Thu May 28 08:02:24 2026 reading all ideals from disk
- Thu May 28 08:02:33 2026 memory use: 15085.4 MB
- Thu May 28 08:02:50 2026 keeping 252819435 ideals with weight <= 200, target excess is 1548514
- Thu May 28 08:03:15 2026 commencing in-memory singleton removal
- Thu May 28 08:03:18 2026 begin with 305576113 relations and 252819435 unique ideals
- Thu May 28 08:03:40 2026 reduce to 305567641 relations and 252810963 ideals in 9 passes
- Thu May 28 08:03:40 2026 max relations containing the same ideal: 200
- Thu May 28 08:05:03 2026 removing 14448113 relations and 12448113 ideals in 2000000 cliques
- Thu May 28 08:05:08 2026 commencing in-memory singleton removal
- Thu May 28 08:05:11 2026 begin with 291119528 relations and 252810963 unique ideals
- Thu May 28 08:05:31 2026 reduce to 290608629 relations and 239847350 ideals in 9 passes
- Thu May 28 08:05:31 2026 max relations containing the same ideal: 200
- Thu May 28 08:06:50 2026 removing 10888796 relations and 8888796 ideals in 2000000 cliques
- Thu May 28 08:06:55 2026 commencing in-memory singleton removal
- Thu May 28 08:06:58 2026 begin with 279719833 relations and 239847350 unique ideals
- Thu May 28 08:07:18 2026 reduce to 279395064 relations and 230631285 ideals in 9 passes
- Thu May 28 08:07:18 2026 max relations containing the same ideal: 197
- Thu May 28 08:08:32 2026 removing 9767831 relations and 7767831 ideals in 2000000 cliques
- Thu May 28 08:08:36 2026 commencing in-memory singleton removal
- Thu May 28 08:08:39 2026 begin with 269627233 relations and 230631285 unique ideals
- Thu May 28 08:08:53 2026 reduce to 269350194 relations and 222584343 ideals in 7 passes
- Thu May 28 08:08:53 2026 max relations containing the same ideal: 194
- Thu May 28 08:10:03 2026 removing 9145530 relations and 7145530 ideals in 2000000 cliques
- Thu May 28 08:10:07 2026 commencing in-memory singleton removal
- Thu May 28 08:10:11 2026 begin with 260204664 relations and 222584343 unique ideals
- Thu May 28 08:10:24 2026 reduce to 259951235 relations and 215183506 ideals in 7 passes
- Thu May 28 08:10:24 2026 max relations containing the same ideal: 190
- Thu May 28 08:11:39 2026 removing 8731765 relations and 6731765 ideals in 2000000 cliques
- Thu May 28 08:11:44 2026 commencing in-memory singleton removal
- Thu May 28 08:11:48 2026 begin with 251219470 relations and 215183506 unique ideals
- Thu May 28 08:12:06 2026 reduce to 250978183 relations and 208208650 ideals in 7 passes
- Thu May 28 08:12:06 2026 max relations containing the same ideal: 188
- Thu May 28 08:13:28 2026 removing 8439008 relations and 6439008 ideals in 2000000 cliques
- Thu May 28 08:13:33 2026 commencing in-memory singleton removal
- Thu May 28 08:13:36 2026 begin with 242539175 relations and 208208650 unique ideals
- Thu May 28 08:13:55 2026 reduce to 242306259 relations and 201534954 ideals in 7 passes
- Thu May 28 08:13:55 2026 max relations containing the same ideal: 182
- Thu May 28 08:15:14 2026 removing 8213201 relations and 6213201 ideals in 2000000 cliques
- Thu May 28 08:15:18 2026 commencing in-memory singleton removal
- Thu May 28 08:15:21 2026 begin with 234093058 relations and 201534954 unique ideals
- Thu May 28 08:15:42 2026 reduce to 233865890 relations and 195092793 ideals in 8 passes
- Thu May 28 08:15:42 2026 max relations containing the same ideal: 180
- Thu May 28 08:16:59 2026 removing 8043312 relations and 6043312 ideals in 2000000 cliques
- Thu May 28 08:17:04 2026 commencing in-memory singleton removal
- Thu May 28 08:17:07 2026 begin with 225822578 relations and 195092793 unique ideals
- Thu May 28 08:17:27 2026 reduce to 225596907 relations and 188821987 ideals in 7 passes
- Thu May 28 08:17:27 2026 max relations containing the same ideal: 177
- Thu May 28 08:18:41 2026 removing 7911674 relations and 5911674 ideals in 2000000 cliques
- Thu May 28 08:18:45 2026 commencing in-memory singleton removal
- Thu May 28 08:18:48 2026 begin with 217685233 relations and 188821987 unique ideals
- Thu May 28 08:19:04 2026 reduce to 217457033 relations and 182680204 ideals in 7 passes
- Thu May 28 08:19:04 2026 max relations containing the same ideal: 174
- Thu May 28 08:20:13 2026 removing 7810817 relations and 5810817 ideals in 2000000 cliques
- Thu May 28 08:20:16 2026 commencing in-memory singleton removal
- Thu May 28 08:20:19 2026 begin with 209646216 relations and 182680204 unique ideals
- Thu May 28 08:20:36 2026 reduce to 209417022 relations and 176638247 ideals in 7 passes
- Thu May 28 08:20:36 2026 max relations containing the same ideal: 170
- Thu May 28 08:21:45 2026 removing 7730712 relations and 5730712 ideals in 2000000 cliques
- Thu May 28 08:21:48 2026 commencing in-memory singleton removal
- Thu May 28 08:21:50 2026 begin with 201686310 relations and 176638247 unique ideals
- Thu May 28 08:22:06 2026 reduce to 201454380 relations and 170673567 ideals in 7 passes
- Thu May 28 08:22:06 2026 max relations containing the same ideal: 168
- Thu May 28 08:23:19 2026 removing 7670150 relations and 5670150 ideals in 2000000 cliques
- Thu May 28 08:23:22 2026 commencing in-memory singleton removal
- Thu May 28 08:23:25 2026 begin with 193784230 relations and 170673567 unique ideals
- Thu May 28 08:23:40 2026 reduce to 193547062 relations and 164764027 ideals in 7 passes
- Thu May 28 08:23:40 2026 max relations containing the same ideal: 164
- Thu May 28 08:24:46 2026 removing 7629971 relations and 5629971 ideals in 2000000 cliques
- Thu May 28 08:24:49 2026 commencing in-memory singleton removal
- Thu May 28 08:24:52 2026 begin with 185917091 relations and 164764027 unique ideals
- Thu May 28 08:25:06 2026 reduce to 185673227 relations and 158887885 ideals in 7 passes
- Thu May 28 08:25:06 2026 max relations containing the same ideal: 156
- Thu May 28 08:26:09 2026 removing 7596601 relations and 5596601 ideals in 2000000 cliques
- Thu May 28 08:26:13 2026 commencing in-memory singleton removal
- Thu May 28 08:26:15 2026 begin with 178076626 relations and 158887885 unique ideals
- Thu May 28 08:26:29 2026 reduce to 177824072 relations and 153036228 ideals in 7 passes
- Thu May 28 08:26:29 2026 max relations containing the same ideal: 149
- Thu May 28 08:27:32 2026 removing 7584617 relations and 5584617 ideals in 2000000 cliques
- Thu May 28 08:27:36 2026 commencing in-memory singleton removal
- Thu May 28 08:27:39 2026 begin with 170239455 relations and 153036228 unique ideals
- Thu May 28 08:27:53 2026 reduce to 169979236 relations and 147188675 ideals in 7 passes
- Thu May 28 08:27:53 2026 max relations containing the same ideal: 147
- Thu May 28 08:28:52 2026 removing 7580291 relations and 5580291 ideals in 2000000 cliques
- Thu May 28 08:28:55 2026 commencing in-memory singleton removal
- Thu May 28 08:28:58 2026 begin with 162398945 relations and 147188675 unique ideals
- Thu May 28 08:29:10 2026 reduce to 162125899 relations and 141332396 ideals in 7 passes
- Thu May 28 08:29:10 2026 max relations containing the same ideal: 142
- Thu May 28 08:30:06 2026 removing 7588597 relations and 5588597 ideals in 2000000 cliques
- Thu May 28 08:30:08 2026 commencing in-memory singleton removal
- Thu May 28 08:30:10 2026 begin with 154537302 relations and 141332396 unique ideals
- Thu May 28 08:30:22 2026 reduce to 154252096 relations and 135455403 ideals in 7 passes
- Thu May 28 08:30:22 2026 max relations containing the same ideal: 137
- Thu May 28 08:31:15 2026 removing 7607536 relations and 5607536 ideals in 2000000 cliques
- Thu May 28 08:31:18 2026 commencing in-memory singleton removal
- Thu May 28 08:31:20 2026 begin with 146644560 relations and 135455403 unique ideals
- Thu May 28 08:31:34 2026 reduce to 146342329 relations and 129542060 ideals in 8 passes
- Thu May 28 08:31:34 2026 max relations containing the same ideal: 131
- Thu May 28 08:32:24 2026 removing 7644886 relations and 5644886 ideals in 2000000 cliques
- Thu May 28 08:32:27 2026 commencing in-memory singleton removal
- Thu May 28 08:32:29 2026 begin with 138697443 relations and 129542060 unique ideals
- Thu May 28 08:32:40 2026 reduce to 138375695 relations and 123571339 ideals in 8 passes
- Thu May 28 08:32:40 2026 max relations containing the same ideal: 127
- Thu May 28 08:33:29 2026 removing 7694068 relations and 5694068 ideals in 2000000 cliques
- Thu May 28 08:33:32 2026 commencing in-memory singleton removal
- Thu May 28 08:33:34 2026 begin with 130681627 relations and 123571339 unique ideals
- Thu May 28 08:33:44 2026 reduce to 130338625 relations and 117529907 ideals in 7 passes
- Thu May 28 08:33:44 2026 max relations containing the same ideal: 122
- Thu May 28 08:34:30 2026 removing 7754036 relations and 5754036 ideals in 2000000 cliques
- Thu May 28 08:34:33 2026 commencing in-memory singleton removal
- Thu May 28 08:34:35 2026 begin with 122584589 relations and 117529907 unique ideals
- Thu May 28 08:34:45 2026 reduce to 122212269 relations and 111398423 ideals in 8 passes
- Thu May 28 08:34:45 2026 max relations containing the same ideal: 118
- Thu May 28 08:35:28 2026 removing 7840668 relations and 5840668 ideals in 2000000 cliques
- Thu May 28 08:35:31 2026 commencing in-memory singleton removal
- Thu May 28 08:35:33 2026 begin with 114371601 relations and 111398423 unique ideals
- Thu May 28 08:35:44 2026 reduce to 113966140 relations and 105146519 ideals in 9 passes
- Thu May 28 08:35:44 2026 max relations containing the same ideal: 111
- Thu May 28 08:36:25 2026 removing 7945550 relations and 5945550 ideals in 2000000 cliques
- Thu May 28 08:36:28 2026 commencing in-memory singleton removal
- Thu May 28 08:36:29 2026 begin with 106020590 relations and 105146519 unique ideals
- Thu May 28 08:36:38 2026 reduce to 105570294 relations and 98744041 ideals in 8 passes
- Thu May 28 08:36:38 2026 max relations containing the same ideal: 104
- Thu May 28 08:37:17 2026 removing 8079910 relations and 6079910 ideals in 2000000 cliques
- Thu May 28 08:37:20 2026 commencing in-memory singleton removal
- Thu May 28 08:37:21 2026 begin with 97490384 relations and 98744041 unique ideals
- Thu May 28 08:37:29 2026 reduce to 96982650 relations and 92148297 ideals in 8 passes
- Thu May 28 08:37:29 2026 max relations containing the same ideal: 102
- Thu May 28 08:38:05 2026 removing 8238172 relations and 6238172 ideals in 2000000 cliques
- Thu May 28 08:38:08 2026 commencing in-memory singleton removal
- Thu May 28 08:38:09 2026 begin with 88744478 relations and 92148297 unique ideals
- Thu May 28 08:38:16 2026 reduce to 88161188 relations and 85316615 ideals in 8 passes
- Thu May 28 08:38:16 2026 max relations containing the same ideal: 97
- Thu May 28 08:38:48 2026 removing 5059506 relations and 4011210 ideals in 1048296 cliques
- Thu May 28 08:38:50 2026 commencing in-memory singleton removal
- Thu May 28 08:38:51 2026 begin with 83101682 relations and 85316615 unique ideals
- Thu May 28 08:38:58 2026 reduce to 82875953 relations and 81077453 ideals in 8 passes
- Thu May 28 08:38:58 2026 max relations containing the same ideal: 92
- Thu May 28 08:39:30 2026 trying target density 80
- Thu May 28 08:39:36 2026 relations with 0 large ideals: 5549
- Thu May 28 08:39:36 2026 relations with 1 large ideals: 24907
- Thu May 28 08:39:36 2026 relations with 2 large ideals: 380069
- Thu May 28 08:39:36 2026 relations with 3 large ideals: 2466524
- Thu May 28 08:39:36 2026 relations with 4 large ideals: 8591157
- Thu May 28 08:39:36 2026 relations with 5 large ideals: 17788923
- Thu May 28 08:39:36 2026 relations with 6 large ideals: 22893986
- Thu May 28 08:39:36 2026 relations with 7+ large ideals: 30724838
- Thu May 28 08:39:36 2026 commencing 2-way merge
- Thu May 28 08:40:22 2026 reduce to 50857077 relation sets and 49058577 unique ideals
- Thu May 28 08:40:22 2026 commencing full merge
- Thu May 28 08:51:12 2026 memory use: 5590.3 MB
- Thu May 28 08:51:18 2026 found 26346974 cycles, need 26098777
- Thu May 28 08:51:26 2026 weight of 26098777 cycles is about 2088135229 (80.01/cycle)
- Thu May 28 08:51:26 2026 distribution of cycle lengths:
- Thu May 28 08:51:27 2026 1 relations: 3115935
- Thu May 28 08:51:27 2026 2 relations: 2861537
- Thu May 28 08:51:27 2026 3 relations: 2951737
- Thu May 28 08:51:27 2026 4 relations: 2780833
- Thu May 28 08:51:27 2026 5 relations: 2676010
- Thu May 28 08:51:27 2026 6 relations: 2427419
- Thu May 28 08:51:27 2026 7 relations: 2170410
- Thu May 28 08:51:27 2026 8 relations: 1845941
- Thu May 28 08:51:27 2026 9 relations: 1502801
- Thu May 28 08:51:27 2026 10+ relations: 3766154
- Thu May 28 08:51:27 2026 heaviest cycle: 19 relations
- Thu May 28 08:51:29 2026 commencing cycle optimization
- Thu May 28 08:52:13 2026 start with 144401890 relations
- Thu May 28 08:54:57 2026 pruned 3351627 relations
- Thu May 28 08:55:00 2026 memory use: 4867.1 MB
- Thu May 28 08:55:00 2026 distribution of cycle lengths:
- Thu May 28 08:55:00 2026 1 relations: 3115935
- Thu May 28 08:55:00 2026 2 relations: 2924575
- Thu May 28 08:55:00 2026 3 relations: 3048299
- Thu May 28 08:55:00 2026 4 relations: 2850887
- Thu May 28 08:55:00 2026 5 relations: 2745910
- Thu May 28 08:55:00 2026 6 relations: 2475093
- Thu May 28 08:55:00 2026 7 relations: 2202393
- Thu May 28 08:55:00 2026 8 relations: 1849082
- Thu May 28 08:55:00 2026 9 relations: 1484684
- Thu May 28 08:55:00 2026 10+ relations: 3401919
- Thu May 28 08:55:00 2026 heaviest cycle: 19 relations
- Thu May 28 08:55:39 2026 trying target density 100
- Thu May 28 08:55:47 2026 relations with 0 large ideals: 5549
- Thu May 28 08:55:47 2026 relations with 1 large ideals: 24907
- Thu May 28 08:55:47 2026 relations with 2 large ideals: 380069
- Thu May 28 08:55:47 2026 relations with 3 large ideals: 2466524
- Thu May 28 08:55:47 2026 relations with 4 large ideals: 8591157
- Thu May 28 08:55:47 2026 relations with 5 large ideals: 17788923
- Thu May 28 08:55:47 2026 relations with 6 large ideals: 22893986
- Thu May 28 08:55:47 2026 relations with 7+ large ideals: 30724838
- Thu May 28 08:55:47 2026 commencing 2-way merge
- Thu May 28 08:56:42 2026 reduce to 50857077 relation sets and 49058577 unique ideals
- Thu May 28 08:56:42 2026 commencing full merge
- Thu May 28 09:09:02 2026 memory use: 5741.5 MB
- Thu May 28 09:09:07 2026 found 24238190 cycles, need 24006777
- Thu May 28 09:09:14 2026 weight of 24006777 cycles is about 2400966883 (100.01/cycle)
- Thu May 28 09:09:14 2026 distribution of cycle lengths:
- Thu May 28 09:09:14 2026 1 relations: 2243431
- Thu May 28 09:09:14 2026 2 relations: 2055609
- Thu May 28 09:09:14 2026 3 relations: 2132116
- Thu May 28 09:09:14 2026 4 relations: 2059410
- Thu May 28 09:09:14 2026 5 relations: 2054692
- Thu May 28 09:09:14 2026 6 relations: 1988526
- Thu May 28 09:09:14 2026 7 relations: 1872585
- Thu May 28 09:09:14 2026 8 relations: 1711158
- Thu May 28 09:09:14 2026 9 relations: 1543948
- Thu May 28 09:09:14 2026 10+ relations: 6345302
- Thu May 28 09:09:14 2026 heaviest cycle: 24 relations
- Thu May 28 09:09:19 2026 commencing cycle optimization
- Thu May 28 09:10:01 2026 start with 165541955 relations
- Thu May 28 09:14:15 2026 pruned 5175708 relations
- Thu May 28 09:14:17 2026 memory use: 5085.1 MB
- Thu May 28 09:14:17 2026 distribution of cycle lengths:
- Thu May 28 09:14:17 2026 1 relations: 2243431
- Thu May 28 09:14:17 2026 2 relations: 2105875
- Thu May 28 09:14:17 2026 3 relations: 2209866
- Thu May 28 09:14:17 2026 4 relations: 2126623
- Thu May 28 09:14:17 2026 5 relations: 2129269
- Thu May 28 09:14:17 2026 6 relations: 2049913
- Thu May 28 09:14:17 2026 7 relations: 1931027
- Thu May 28 09:14:17 2026 8 relations: 1754707
- Thu May 28 09:14:17 2026 9 relations: 1572610
- Thu May 28 09:14:17 2026 10+ relations: 5883456
- Thu May 28 09:14:17 2026 heaviest cycle: 24 relations
- Thu May 28 09:14:55 2026 trying target density 120
- Thu May 28 09:15:03 2026 relations with 0 large ideals: 5549
- Thu May 28 09:15:03 2026 relations with 1 large ideals: 24907
- Thu May 28 09:15:03 2026 relations with 2 large ideals: 380069
- Thu May 28 09:15:03 2026 relations with 3 large ideals: 2466524
- Thu May 28 09:15:03 2026 relations with 4 large ideals: 8591157
- Thu May 28 09:15:03 2026 relations with 5 large ideals: 17788923
- Thu May 28 09:15:03 2026 relations with 6 large ideals: 22893986
- Thu May 28 09:15:03 2026 relations with 7+ large ideals: 30724838
- Thu May 28 09:15:03 2026 commencing 2-way merge
- Thu May 28 09:15:48 2026 reduce to 50857077 relation sets and 49058577 unique ideals
- Thu May 28 09:15:48 2026 commencing full merge
- Thu May 28 09:31:36 2026 memory use: 5865.1 MB
- Thu May 28 09:31:40 2026 found 22710480 cycles, need 22558777
- Thu May 28 09:31:46 2026 weight of 22558777 cycles is about 2707158769 (120.00/cycle)
- Thu May 28 09:31:46 2026 distribution of cycle lengths:
- Thu May 28 09:31:46 2026 1 relations: 1716847
- Thu May 28 09:31:46 2026 2 relations: 1592272
- Thu May 28 09:31:46 2026 3 relations: 1637783
- Thu May 28 09:31:46 2026 4 relations: 1622682
- Thu May 28 09:31:46 2026 5 relations: 1631954
- Thu May 28 09:31:46 2026 6 relations: 1617419
- Thu May 28 09:31:46 2026 7 relations: 1558674
- Thu May 28 09:31:46 2026 8 relations: 1503934
- Thu May 28 09:31:46 2026 9 relations: 1408821
- Thu May 28 09:31:46 2026 10+ relations: 8268391
- Thu May 28 09:31:46 2026 heaviest cycle: 28 relations
- Thu May 28 09:31:52 2026 commencing cycle optimization
- Thu May 28 09:32:38 2026 start with 185957082 relations
- Thu May 28 09:38:25 2026 pruned 7115025 relations
- Thu May 28 09:38:25 2026 memory use: 5290.2 MB
- Thu May 28 09:38:25 2026 distribution of cycle lengths:
- Thu May 28 09:38:25 2026 1 relations: 1716847
- Thu May 28 09:38:25 2026 2 relations: 1632048
- Thu May 28 09:38:25 2026 3 relations: 1700582
- Thu May 28 09:38:25 2026 4 relations: 1681387
- Thu May 28 09:38:25 2026 5 relations: 1700132
- Thu May 28 09:38:25 2026 6 relations: 1679723
- Thu May 28 09:38:25 2026 7 relations: 1626094
- Thu May 28 09:38:25 2026 8 relations: 1561128
- Thu May 28 09:38:25 2026 9 relations: 1458842
- Thu May 28 09:38:25 2026 10+ relations: 7801994
- Thu May 28 09:38:25 2026 heaviest cycle: 28 relations
- Thu May 28 09:39:04 2026 RelProcTime: 9428
- Thu May 28 09:39:06 2026
- Thu May 28 09:39:06 2026 commencing linear algebra
- Thu May 28 09:39:06 2026 using VBITS=256
- Thu May 28 09:39:06 2026 building matrices for all densities
- Thu May 28 09:39:06 2026 found 3 density files
- Thu May 28 09:39:06 2026 building matrix for density 80
- Thu May 28 09:39:17 2026 read 26098777 cycles
- Thu May 28 09:40:01 2026 cycles contain 81701557 unique relations
- Thu May 28 09:50:53 2026 read 81701557 relations
- Thu May 28 09:51:20 2026 using 20 quadratic characters above 4294917295
- Thu May 28 09:51:46 2026 building initial matrix
- Thu May 28 10:07:04 2026 memory use: 11540.9 MB
- Thu May 28 10:07:15 2026 read 26098777 cycles
- Thu May 28 10:07:19 2026 matrix is 26098596 x 26098777 (8877.7 MB) with weight 2760212763 (105.76/col)
- Thu May 28 10:07:19 2026 sparse part has weight 2014061424 (77.17/col)
- Thu May 28 10:11:04 2026 filtering completed in 2 passes
- Thu May 28 10:11:09 2026 matrix is 26087826 x 26088005 (8876.9 MB) with weight 2759836288 (105.79/col)
- Thu May 28 10:11:09 2026 sparse part has weight 2013980029 (77.20/col)
- Thu May 28 10:12:04 2026 building matrix for density 100
- Thu May 28 10:12:06 2026 read 24006777 cycles
- Thu May 28 10:12:53 2026 cycles contain 81738816 unique relations
- Thu May 28 10:26:02 2026 read 81738816 relations
- Thu May 28 10:26:20 2026 using 20 quadratic characters above 4294917295
- Thu May 28 10:26:43 2026 building initial matrix
- Thu May 28 10:43:28 2026 memory use: 11555.1 MB
- Thu May 28 10:43:51 2026 read 24006777 cycles
- Thu May 28 10:43:55 2026 matrix is 24006597 x 24006777 (9791.0 MB) with weight 3013394058 (125.52/col)
- Thu May 28 10:43:55 2026 sparse part has weight 2278581179 (94.91/col)
- Thu May 28 10:47:01 2026 filtering completed in 2 passes
- Thu May 28 10:47:05 2026 matrix is 24001971 x 24002150 (9790.6 MB) with weight 3013201135 (125.54/col)
- Thu May 28 10:47:05 2026 sparse part has weight 2278530206 (94.93/col)
- Thu May 28 10:48:09 2026 building matrix for density 120
- Thu May 28 10:48:19 2026 read 22558777 cycles
- Thu May 28 10:49:08 2026 cycles contain 81750420 unique relations
- Thu May 28 11:00:16 2026 read 81750420 relations
- Thu May 28 11:00:40 2026 using 20 quadratic characters above 4294917295
- Thu May 28 11:01:07 2026 building initial matrix
- Thu May 28 11:19:01 2026 memory use: 11582.8 MB
- Thu May 28 11:19:31 2026 read 22558777 cycles
- Thu May 28 11:19:34 2026 matrix is 22558599 x 22558777 (10689.9 MB) with weight 3259744501 (144.50/col)
- Thu May 28 11:19:34 2026 sparse part has weight 2531589580 (112.22/col)
- Thu May 28 11:22:17 2026 filtering completed in 2 passes
- Thu May 28 11:22:23 2026 matrix is 22556959 x 22557136 (10689.7 MB) with weight 3259665917 (144.51/col)
- Thu May 28 11:22:23 2026 sparse part has weight 2531566963 (112.23/col)
- Thu May 28 11:23:12 2026 BLanczosTime: 6246
- Thu May 28 11:23:12 2026 elapsed time 04:21:17
- Thu May 28 17:00:57 2026
- Thu May 28 17:00:57 2026
- Thu May 28 17:00:57 2026 Msieve v. 1.54 (SVN unknown)
- Thu May 28 17:00:57 2026 random seeds: 1150b60e 813ca60d
- Thu May 28 17:00:57 2026 Using 8 OpenMP threads
- Thu May 28 17:00:57 2026 factoring 243600447030899079425586715959916490489805935237788868739597149731701684090729001662853666166349081207091114531766501322041236322207460186952409947528588356882672565893263869102397944477 (186 digits)
- Thu May 28 17:00:58 2026 no P-1/P+1/ECM available, skipping
- Thu May 28 17:00:58 2026 commencing number field sieve (186-digit input)
- Thu May 28 17:00:58 2026 R0: -2210066096222234617067744908064566336
- Thu May 28 17:00:58 2026 R1: 17091153828898735414121
- Thu May 28 17:00:58 2026 A0: 1238605425391654080019840285231930267909621290
- Thu May 28 17:00:58 2026 A1: 54514516740235826794748826502577883771
- Thu May 28 17:00:58 2026 A2: -1942858204878646123821368039316
- Thu May 28 17:00:58 2026 A3: -5507845544814787288211
- Thu May 28 17:00:58 2026 A4: 26945498073290
- Thu May 28 17:00:58 2026 A5: 9240
- Thu May 28 17:00:58 2026 skew 263534794.91, size 5.008e-18, alpha -7.916, combined = 4.729e-14 rroots = 5
- Thu May 28 17:00:58 2026
- Thu May 28 17:00:58 2026 commencing linear algebra
- Thu May 28 17:00:58 2026 using VBITS=64
- Thu May 28 17:00:58 2026 skipping matrix build
- Thu May 28 17:01:09 2026 matrix starts at (0, 0)
- Thu May 28 17:01:13 2026 matrix is 22556959 x 22557136 (10689.7 MB) with weight 3259665917 (144.51/col)
- Thu May 28 17:01:13 2026 sparse part has weight 2531566963 (112.23/col)
- Thu May 28 17:01:13 2026 saving the first 48 matrix rows for later
- Thu May 28 17:01:18 2026 matrix includes 64 packed rows
- Thu May 28 17:01:21 2026 matrix is 22556911 x 22557136 (10417.2 MB) with weight 2786618840 (123.54/col)
- Thu May 28 17:01:21 2026 sparse part has weight 2505247667 (111.06/col)
- Thu May 28 17:01:21 2026 using GPU 0 (Tesla V100-SXM2-32GB)
- Thu May 28 17:01:21 2026 selected card has CUDA arch 7.0
- Thu May 28 17:08:31 2026 commencing Lanczos iteration
- Thu May 28 17:08:31 2026 memory use: 24018.3 MB
- Thu May 28 17:11:07 2026 checking every 10000 dimensions, checkpointing every 450000 dimensions
- Thu May 28 17:12:36 2026 linear algebra at 0.1%, ETA 50h20m
- Sat May 30 19:19:53 2026 lanczos halted after 356712 iterations (dim = 22556910)
- Sat May 30 19:20:23 2026 recovered 30 nontrivial dependencies
- Sat May 30 19:20:23 2026 BLanczosTime: 181165
- Sat May 30 19:20:23 2026 elapsed time 50:19:26
- Sat May 30 15:23:43 2026
- Sat May 30 15:23:43 2026
- Sat May 30 15:23:43 2026 Msieve v. 1.54 (SVN unknown)
- Sat May 30 15:23:43 2026 random seeds: e89c2070 356b5994
- Sat May 30 15:23:43 2026 Using 14 OpenMP threads
- Sat May 30 15:23:43 2026 factoring 243600447030899079425586715959916490489805935237788868739597149731701684090729001662853666166349081207091114531766501322041236322207460186952409947528588356882672565893263869102397944477 (186 digits)
- Sat May 30 15:23:44 2026 no P-1/P+1/ECM available, skipping
- Sat May 30 15:23:44 2026 commencing number field sieve (186-digit input)
- Sat May 30 15:23:44 2026 R0: -2210066096222234617067744908064566336
- Sat May 30 15:23:44 2026 R1: 17091153828898735414121
- Sat May 30 15:23:44 2026 A0: 1238605425391654080019840285231930267909621290
- Sat May 30 15:23:44 2026 A1: 54514516740235826794748826502577883771
- Sat May 30 15:23:44 2026 A2: -1942858204878646123821368039316
- Sat May 30 15:23:44 2026 A3: -5507845544814787288211
- Sat May 30 15:23:44 2026 A4: 26945498073290
- Sat May 30 15:23:44 2026 A5: 9240
- Sat May 30 15:23:44 2026 skew 263534794.91, size 5.008e-18, alpha -7.916, combined = 4.729e-14 rroots = 5
- Sat May 30 15:23:44 2026
- Sat May 30 15:23:44 2026 commencing square root phase
- Sat May 30 15:23:44 2026 reading relations for dependency 1
- Sat May 30 15:23:45 2026 read 11278772 cycles
- Sat May 30 15:24:01 2026 cycles contain 40881434 unique relations
- Sat May 30 15:26:28 2026 read 40881434 relations
- Sat May 30 15:28:31 2026 multiplying 40881434 relations
- Sat May 30 15:32:55 2026 multiply complete, coefficients have about 2301.72 million bits
- Sat May 30 15:33:00 2026 initial square root is modulo 145391
- Sat May 30 15:42:06 2026 sqrtTime: 1102
- Sat May 30 15:42:06 2026 p77 factor: 50765135705613525840403168164549860137305604686130509376154131697718627333797
- Sat May 30 15:42:06 2026 p109 factor: 4798577678262015157609064636602783819426130674767659298408919247792648354592881941400088634480720389017420441
- Sat May 30 15:42:06 2026 elapsed time 00:18:23
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