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Mon May 19 15:28:24 2025 Mon May 19 15:28:24 2025 Mon May 19 15:28:24 2025 Msieve v. 1.54 (SVN Unversioned directory) Mon May 19 15:28:24 2025 random seeds: 528e7fed fa585e76 Mon May 19 15:28:24 2025 MPI process 0 of 1 Mon May 19 15:28:24 2025 Using 64 OpenMP threads Mon May 19 15:28:24 2025 factoring 6748341153565484517600513273055040441481668912292915866442145016646086475493754954109798034395739731860574340430206557465306328076596835781343543419259080884365878495127360473751842548044171165793739807301056849409512173998800521319421442056432299328412202336346033546357 (271 digits) Mon May 19 15:28:25 2025 no P-1/P+1/ECM available, skipping Mon May 19 15:28:25 2025 commencing number field sieve (271-digit input) Mon May 19 15:28:25 2025 R0: 48873677980689257489322752273774603865660850176 Mon May 19 15:28:25 2025 R1: -867361737988403547205962240695953369140625 Mon May 19 15:28:25 2025 A0: -6 Mon May 19 15:28:25 2025 A1: 0 Mon May 19 15:28:25 2025 A2: 0 Mon May 19 15:28:25 2025 A3: 0 Mon May 19 15:28:25 2025 A4: 0 Mon May 19 15:28:25 2025 A5: 0 Mon May 19 15:28:25 2025 A6: 5 Mon May 19 15:28:25 2025 skew 1.03, size 6.008e-14, alpha 2.541, combined = 1.382e-14 rroots = 2 Mon May 19 15:28:25 2025 Mon May 19 15:28:25 2025 commencing relation filtering Mon May 19 15:28:25 2025 setting target matrix density to 110.0 Mon May 19 15:28:25 2025 estimated available RAM is 1031760.2 MB Mon May 19 15:28:25 2025 commencing duplicate removal, pass 1 Mon May 19 15:29:30 2025 error -5 reading relation 170130412 Mon May 19 15:32:04 2025 error -1 reading relation 575860707 Mon May 19 15:32:21 2025 error -1 reading relation 620884230 Mon May 19 15:33:09 2025 error -1 reading relation 743170122 Mon May 19 15:33:12 2025 skipped 46168 relations with b > 2^32 Mon May 19 15:33:12 2025 skipped 674 malformed relations Mon May 19 15:33:12 2025 found 31006397 hash collisions in 751121466 relations Mon May 19 15:33:20 2025 added 1219988 free relations Mon May 19 15:33:20 2025 commencing duplicate removal, pass 2 Mon May 19 15:35:23 2025 found 0 duplicates and 752341454 unique relations Mon May 19 15:35:23 2025 memory use: 2217.5 MB Mon May 19 15:35:23 2025 reading ideals above 720000 Mon May 19 15:35:23 2025 commencing singleton removal, initial pass Mon May 19 15:54:59 2025 memory use: 11024.0 MB Mon May 19 15:54:59 2025 reading all ideals from disk Mon May 19 15:55:08 2025 memory use: 38949.5 MB Mon May 19 15:55:41 2025 keeping 625632646 ideals with weight <= 200, target excess is 4085356 Mon May 19 15:56:31 2025 commencing in-memory singleton removal Mon May 19 15:56:33 2025 begin with 752341454 relations and 625632646 unique ideals Mon May 19 15:56:50 2025 reduce to 521264343 relations and 375429324 ideals in 12 passes Mon May 19 15:56:50 2025 max relations containing the same ideal: 166 Mon May 19 15:57:56 2025 removing 11533433 relations and 9533433 ideals in 2000000 cliques Mon May 19 15:58:06 2025 commencing in-memory singleton removal Mon May 19 15:58:07 2025 begin with 509730910 relations and 375429324 unique ideals Mon May 19 15:58:15 2025 reduce to 509555460 relations and 365719487 ideals in 7 passes Mon May 19 15:58:15 2025 max relations containing the same ideal: 164 Mon May 19 15:59:25 2025 removing 8898542 relations and 6898542 ideals in 2000000 cliques Mon May 19 15:59:34 2025 commencing in-memory singleton removal Mon May 19 15:59:35 2025 begin with 500656918 relations and 365719487 unique ideals Mon May 19 15:59:42 2025 reduce to 500538198 relations and 358701650 ideals in 6 passes Mon May 19 15:59:42 2025 max relations containing the same ideal: 163 Mon May 19 16:00:48 2025 removing 8036171 relations and 6036171 ideals in 2000000 cliques Mon May 19 16:00:57 2025 commencing in-memory singleton removal Mon May 19 16:00:58 2025 begin with 492502027 relations and 358701650 unique ideals Mon May 19 16:01:05 2025 reduce to 492399621 relations and 352562603 ideals in 6 passes Mon May 19 16:01:05 2025 max relations containing the same ideal: 162 Mon May 19 16:02:07 2025 removing 7539776 relations and 5539776 ideals in 2000000 cliques Mon May 19 16:02:16 2025 commencing in-memory singleton removal Mon May 19 16:02:17 2025 begin with 484859845 relations and 352562603 unique ideals Mon May 19 16:02:24 2025 reduce to 484765976 relations and 346928536 ideals in 6 passes Mon May 19 16:02:24 2025 max relations containing the same ideal: 162 Mon May 19 16:03:24 2025 removing 7203350 relations and 5203350 ideals in 2000000 cliques Mon May 19 16:03:32 2025 commencing in-memory singleton removal Mon May 19 16:03:33 2025 begin with 477562626 relations and 346928536 unique ideals Mon May 19 16:03:40 2025 reduce to 477475320 relations and 341637487 ideals in 6 passes Mon May 19 16:03:40 2025 max relations containing the same ideal: 161 Mon May 19 16:04:40 2025 removing 6961968 relations and 4961968 ideals in 2000000 cliques Mon May 19 16:04:48 2025 commencing in-memory singleton removal Mon May 19 16:04:49 2025 begin with 470513352 relations and 341637487 unique ideals Mon May 19 16:04:56 2025 reduce to 470429518 relations and 336591295 ideals in 6 passes Mon May 19 16:04:56 2025 max relations containing the same ideal: 161 Mon May 19 16:05:54 2025 removing 6774951 relations and 4774951 ideals in 2000000 cliques Mon May 19 16:06:02 2025 commencing in-memory singleton removal Mon May 19 16:06:03 2025 begin with 463654567 relations and 336591295 unique ideals Mon May 19 16:06:09 2025 reduce to 463573095 relations and 331734521 ideals in 5 passes Mon May 19 16:06:09 2025 max relations containing the same ideal: 160 Mon May 19 16:07:07 2025 removing 6626873 relations and 4626873 ideals in 2000000 cliques Mon May 19 16:07:15 2025 commencing in-memory singleton removal Mon May 19 16:07:17 2025 begin with 456946222 relations and 331734521 unique ideals Mon May 19 16:07:23 2025 reduce to 456867397 relations and 327028459 ideals in 6 passes Mon May 19 16:07:23 2025 max relations containing the same ideal: 158 Mon May 19 16:08:20 2025 removing 6499821 relations and 4499821 ideals in 2000000 cliques Mon May 19 16:08:28 2025 commencing in-memory singleton removal Mon May 19 16:08:29 2025 begin with 450367576 relations and 327028459 unique ideals Mon May 19 16:08:35 2025 reduce to 450291049 relations and 322451754 ideals in 5 passes Mon May 19 16:08:35 2025 max relations containing the same ideal: 155 Mon May 19 16:09:32 2025 removing 6400761 relations and 4400761 ideals in 2000000 cliques Mon May 19 16:09:40 2025 commencing in-memory singleton removal Mon May 19 16:09:41 2025 begin with 443890288 relations and 322451754 unique ideals Mon May 19 16:09:47 2025 reduce to 443814566 relations and 317974883 ideals in 6 passes Mon May 19 16:09:47 2025 max relations containing the same ideal: 152 Mon May 19 16:10:44 2025 removing 6311937 relations and 4311937 ideals in 2000000 cliques Mon May 19 16:10:51 2025 commencing in-memory singleton removal Mon May 19 16:10:52 2025 begin with 437502629 relations and 317974883 unique ideals Mon May 19 16:10:58 2025 reduce to 437427917 relations and 313587829 ideals in 6 passes Mon May 19 16:10:58 2025 max relations containing the same ideal: 150 Mon May 19 16:11:54 2025 removing 6237005 relations and 4237005 ideals in 2000000 cliques Mon May 19 16:12:02 2025 commencing in-memory singleton removal Mon May 19 16:12:03 2025 begin with 431190912 relations and 313587829 unique ideals Mon May 19 16:12:08 2025 reduce to 431117989 relations and 309277521 ideals in 5 passes Mon May 19 16:12:08 2025 max relations containing the same ideal: 149 Mon May 19 16:13:03 2025 removing 6167834 relations and 4167834 ideals in 2000000 cliques Mon May 19 16:13:11 2025 commencing in-memory singleton removal Mon May 19 16:13:12 2025 begin with 424950155 relations and 309277521 unique ideals Mon May 19 16:13:17 2025 reduce to 424877780 relations and 305036906 ideals in 5 passes Mon May 19 16:13:17 2025 max relations containing the same ideal: 148 Mon May 19 16:14:11 2025 removing 6112108 relations and 4112108 ideals in 2000000 cliques Mon May 19 16:14:19 2025 commencing in-memory singleton removal Mon May 19 16:14:20 2025 begin with 418765672 relations and 305036906 unique ideals Mon May 19 16:14:25 2025 reduce to 418692967 relations and 300851653 ideals in 5 passes Mon May 19 16:14:25 2025 max relations containing the same ideal: 146 Mon May 19 16:15:19 2025 removing 6058951 relations and 4058951 ideals in 2000000 cliques Mon May 19 16:15:26 2025 commencing in-memory singleton removal Mon May 19 16:15:27 2025 begin with 412634016 relations and 300851653 unique ideals Mon May 19 16:15:33 2025 reduce to 412561532 relations and 296719731 ideals in 6 passes Mon May 19 16:15:33 2025 max relations containing the same ideal: 144 Mon May 19 16:16:26 2025 removing 6012596 relations and 4012596 ideals in 2000000 cliques Mon May 19 16:16:33 2025 commencing in-memory singleton removal Mon May 19 16:16:34 2025 begin with 406548936 relations and 296719731 unique ideals Mon May 19 16:16:39 2025 reduce to 406476397 relations and 292634119 ideals in 5 passes Mon May 19 16:16:39 2025 max relations containing the same ideal: 144 Mon May 19 16:17:32 2025 removing 5970620 relations and 3970620 ideals in 2000000 cliques Mon May 19 16:17:39 2025 commencing in-memory singleton removal Mon May 19 16:17:40 2025 begin with 400505777 relations and 292634119 unique ideals Mon May 19 16:17:46 2025 reduce to 400433197 relations and 288590398 ideals in 6 passes Mon May 19 16:17:46 2025 max relations containing the same ideal: 143 Mon May 19 16:18:38 2025 removing 5933976 relations and 3933976 ideals in 2000000 cliques Mon May 19 16:18:45 2025 commencing in-memory singleton removal Mon May 19 16:18:46 2025 begin with 394499221 relations and 288590398 unique ideals Mon May 19 16:18:51 2025 reduce to 394426440 relations and 284583111 ideals in 6 passes Mon May 19 16:18:51 2025 max relations containing the same ideal: 141 Mon May 19 16:19:43 2025 removing 5902500 relations and 3902500 ideals in 2000000 cliques Mon May 19 16:19:50 2025 commencing in-memory singleton removal Mon May 19 16:19:51 2025 begin with 388523940 relations and 284583111 unique ideals Mon May 19 16:19:55 2025 reduce to 388450702 relations and 280606819 ideals in 5 passes Mon May 19 16:19:55 2025 max relations containing the same ideal: 139 Mon May 19 16:20:46 2025 removing 5867346 relations and 3867346 ideals in 2000000 cliques Mon May 19 16:20:53 2025 commencing in-memory singleton removal Mon May 19 16:20:54 2025 begin with 382583356 relations and 280606819 unique ideals Mon May 19 16:20:58 2025 reduce to 382509848 relations and 276665411 ideals in 5 passes Mon May 19 16:20:58 2025 max relations containing the same ideal: 139 Mon May 19 16:21:48 2025 removing 5839297 relations and 3839297 ideals in 2000000 cliques Mon May 19 16:21:55 2025 commencing in-memory singleton removal Mon May 19 16:21:56 2025 begin with 376670551 relations and 276665411 unique ideals Mon May 19 16:22:01 2025 reduce to 376596686 relations and 272751668 ideals in 6 passes Mon May 19 16:22:01 2025 max relations containing the same ideal: 136 Mon May 19 16:22:50 2025 removing 5816705 relations and 3816705 ideals in 2000000 cliques Mon May 19 16:22:57 2025 commencing in-memory singleton removal Mon May 19 16:22:58 2025 begin with 370779981 relations and 272751668 unique ideals Mon May 19 16:23:03 2025 reduce to 370705965 relations and 268860338 ideals in 6 passes Mon May 19 16:23:03 2025 max relations containing the same ideal: 134 Mon May 19 16:23:51 2025 removing 5790968 relations and 3790968 ideals in 2000000 cliques Mon May 19 16:23:58 2025 commencing in-memory singleton removal Mon May 19 16:23:58 2025 begin with 364914997 relations and 268860338 unique ideals Mon May 19 16:24:03 2025 reduce to 364840841 relations and 264994564 ideals in 6 passes Mon May 19 16:24:03 2025 max relations containing the same ideal: 133 Mon May 19 16:24:51 2025 removing 5771094 relations and 3771094 ideals in 2000000 cliques Mon May 19 16:24:58 2025 commencing in-memory singleton removal Mon May 19 16:24:58 2025 begin with 359069747 relations and 264994564 unique ideals Mon May 19 16:25:03 2025 reduce to 358994304 relations and 261147393 ideals in 5 passes Mon May 19 16:25:03 2025 max relations containing the same ideal: 132 Mon May 19 16:25:50 2025 removing 5751150 relations and 3751150 ideals in 2000000 cliques Mon May 19 16:25:57 2025 commencing in-memory singleton removal Mon May 19 16:25:57 2025 begin with 353243154 relations and 261147393 unique ideals Mon May 19 16:26:02 2025 reduce to 353166415 relations and 257318831 ideals in 5 passes Mon May 19 16:26:02 2025 max relations containing the same ideal: 131 Mon May 19 16:26:49 2025 removing 5734933 relations and 3734933 ideals in 2000000 cliques Mon May 19 16:26:55 2025 commencing in-memory singleton removal Mon May 19 16:26:56 2025 begin with 347431482 relations and 257318831 unique ideals Mon May 19 16:27:00 2025 reduce to 347354167 relations and 253505891 ideals in 5 passes Mon May 19 16:27:00 2025 max relations containing the same ideal: 129 Mon May 19 16:27:46 2025 removing 5719856 relations and 3719856 ideals in 2000000 cliques Mon May 19 16:27:52 2025 commencing in-memory singleton removal Mon May 19 16:27:53 2025 begin with 341634311 relations and 253505891 unique ideals Mon May 19 16:27:57 2025 reduce to 341557319 relations and 249708311 ideals in 5 passes Mon May 19 16:27:57 2025 max relations containing the same ideal: 127 Mon May 19 16:28:43 2025 removing 5707309 relations and 3707309 ideals in 2000000 cliques Mon May 19 16:28:49 2025 commencing in-memory singleton removal Mon May 19 16:28:50 2025 begin with 335850010 relations and 249708311 unique ideals Mon May 19 16:28:54 2025 reduce to 335772146 relations and 245922393 ideals in 5 passes Mon May 19 16:28:54 2025 max relations containing the same ideal: 126 Mon May 19 16:29:39 2025 removing 5694421 relations and 3694421 ideals in 2000000 cliques Mon May 19 16:29:45 2025 commencing in-memory singleton removal Mon May 19 16:29:45 2025 begin with 330077725 relations and 245922393 unique ideals Mon May 19 16:29:50 2025 reduce to 329998256 relations and 242147746 ideals in 5 passes Mon May 19 16:29:50 2025 max relations containing the same ideal: 125 Mon May 19 16:30:34 2025 removing 5682987 relations and 3682987 ideals in 2000000 cliques Mon May 19 16:30:40 2025 commencing in-memory singleton removal Mon May 19 16:30:41 2025 begin with 324315269 relations and 242147746 unique ideals Mon May 19 16:30:45 2025 reduce to 324234750 relations and 238383485 ideals in 6 passes Mon May 19 16:30:45 2025 max relations containing the same ideal: 124 Mon May 19 16:31:29 2025 removing 5672298 relations and 3672298 ideals in 2000000 cliques Mon May 19 16:31:35 2025 commencing in-memory singleton removal Mon May 19 16:31:36 2025 begin with 318562452 relations and 238383485 unique ideals Mon May 19 16:31:40 2025 reduce to 318481215 relations and 234629101 ideals in 5 passes Mon May 19 16:31:40 2025 max relations containing the same ideal: 124 Mon May 19 16:32:21 2025 removing 5664616 relations and 3664616 ideals in 2000000 cliques Mon May 19 16:32:27 2025 commencing in-memory singleton removal Mon May 19 16:32:28 2025 begin with 312816599 relations and 234629101 unique ideals Mon May 19 16:32:32 2025 reduce to 312733668 relations and 230880694 ideals in 5 passes Mon May 19 16:32:32 2025 max relations containing the same ideal: 123 Mon May 19 16:33:13 2025 removing 5658050 relations and 3658050 ideals in 2000000 cliques Mon May 19 16:33:18 2025 commencing in-memory singleton removal Mon May 19 16:33:19 2025 begin with 307075618 relations and 230880694 unique ideals Mon May 19 16:33:23 2025 reduce to 306991309 relations and 227137489 ideals in 5 passes Mon May 19 16:33:23 2025 max relations containing the same ideal: 122 Mon May 19 16:34:03 2025 removing 5649439 relations and 3649439 ideals in 2000000 cliques Mon May 19 16:34:09 2025 commencing in-memory singleton removal Mon May 19 16:34:09 2025 begin with 301341870 relations and 227137489 unique ideals Mon May 19 16:34:13 2025 reduce to 301256346 relations and 223401677 ideals in 5 passes Mon May 19 16:34:13 2025 max relations containing the same ideal: 120 Mon May 19 16:34:53 2025 removing 5644902 relations and 3644902 ideals in 2000000 cliques Mon May 19 16:34:58 2025 commencing in-memory singleton removal Mon May 19 16:34:59 2025 begin with 295611444 relations and 223401677 unique ideals Mon May 19 16:35:03 2025 reduce to 295524541 relations and 219668905 ideals in 6 passes Mon May 19 16:35:03 2025 max relations containing the same ideal: 119 Mon May 19 16:35:42 2025 removing 5640859 relations and 3640859 ideals in 2000000 cliques Mon May 19 16:35:47 2025 commencing in-memory singleton removal Mon May 19 16:35:48 2025 begin with 289883682 relations and 219668905 unique ideals Mon May 19 16:35:52 2025 reduce to 289795250 relations and 215938575 ideals in 6 passes Mon May 19 16:35:52 2025 max relations containing the same ideal: 117 Mon May 19 16:36:31 2025 removing 5643446 relations and 3643446 ideals in 2000000 cliques Mon May 19 16:36:36 2025 commencing in-memory singleton removal Mon May 19 16:36:37 2025 begin with 284151804 relations and 215938575 unique ideals Mon May 19 16:36:40 2025 reduce to 284062174 relations and 212204473 ideals in 6 passes Mon May 19 16:36:40 2025 max relations containing the same ideal: 115 Mon May 19 16:37:18 2025 removing 5641674 relations and 3641674 ideals in 2000000 cliques Mon May 19 16:37:24 2025 commencing in-memory singleton removal Mon May 19 16:37:24 2025 begin with 278420500 relations and 212204473 unique ideals Mon May 19 16:37:28 2025 reduce to 278329048 relations and 208470285 ideals in 5 passes Mon May 19 16:37:28 2025 max relations containing the same ideal: 113 Mon May 19 16:38:05 2025 removing 5640735 relations and 3640735 ideals in 2000000 cliques Mon May 19 16:38:10 2025 commencing in-memory singleton removal Mon May 19 16:38:11 2025 begin with 272688313 relations and 208470285 unique ideals Mon May 19 16:38:14 2025 reduce to 272594847 relations and 204734989 ideals in 5 passes Mon May 19 16:38:14 2025 max relations containing the same ideal: 111 Mon May 19 16:38:51 2025 removing 5641424 relations and 3641424 ideals in 2000000 cliques Mon May 19 16:38:56 2025 commencing in-memory singleton removal Mon May 19 16:38:56 2025 begin with 266953423 relations and 204734989 unique ideals Mon May 19 16:38:59 2025 reduce to 266858350 relations and 200997361 ideals in 5 passes Mon May 19 16:38:59 2025 max relations containing the same ideal: 110 Mon May 19 16:39:36 2025 removing 5644290 relations and 3644290 ideals in 2000000 cliques Mon May 19 16:39:41 2025 commencing in-memory singleton removal Mon May 19 16:39:41 2025 begin with 261214060 relations and 200997361 unique ideals Mon May 19 16:39:44 2025 reduce to 261116918 relations and 197254786 ideals in 5 passes Mon May 19 16:39:44 2025 max relations containing the same ideal: 106 Mon May 19 16:40:20 2025 removing 5649057 relations and 3649057 ideals in 2000000 cliques Mon May 19 16:40:25 2025 commencing in-memory singleton removal Mon May 19 16:40:25 2025 begin with 255467861 relations and 197254786 unique ideals Mon May 19 16:40:29 2025 reduce to 255368813 relations and 193505408 ideals in 6 passes Mon May 19 16:40:29 2025 max relations containing the same ideal: 105 Mon May 19 16:41:04 2025 removing 5651531 relations and 3651531 ideals in 2000000 cliques Mon May 19 16:41:08 2025 commencing in-memory singleton removal Mon May 19 16:41:09 2025 begin with 249717282 relations and 193505408 unique ideals Mon May 19 16:41:12 2025 reduce to 249615556 relations and 189750824 ideals in 5 passes Mon May 19 16:41:12 2025 max relations containing the same ideal: 103 Mon May 19 16:41:46 2025 removing 5661318 relations and 3661318 ideals in 2000000 cliques Mon May 19 16:41:51 2025 commencing in-memory singleton removal Mon May 19 16:41:51 2025 begin with 243954238 relations and 189750824 unique ideals Mon May 19 16:41:55 2025 reduce to 243850217 relations and 185984256 ideals in 6 passes Mon May 19 16:41:55 2025 max relations containing the same ideal: 101 Mon May 19 16:42:28 2025 removing 5671535 relations and 3671535 ideals in 2000000 cliques Mon May 19 16:42:33 2025 commencing in-memory singleton removal Mon May 19 16:42:33 2025 begin with 238178682 relations and 185984256 unique ideals Mon May 19 16:42:36 2025 reduce to 238071923 relations and 182204606 ideals in 5 passes Mon May 19 16:42:36 2025 max relations containing the same ideal: 99 Mon May 19 16:43:09 2025 removing 5680904 relations and 3680904 ideals in 2000000 cliques Mon May 19 16:43:14 2025 commencing in-memory singleton removal Mon May 19 16:43:14 2025 begin with 232391019 relations and 182204606 unique ideals Mon May 19 16:43:18 2025 reduce to 232281941 relations and 178413199 ideals in 7 passes Mon May 19 16:43:18 2025 max relations containing the same ideal: 99 Mon May 19 16:43:50 2025 removing 5692348 relations and 3692348 ideals in 2000000 cliques Mon May 19 16:43:54 2025 commencing in-memory singleton removal Mon May 19 16:43:55 2025 begin with 226589593 relations and 178413199 unique ideals Mon May 19 16:43:57 2025 reduce to 226476996 relations and 174606776 ideals in 5 passes Mon May 19 16:43:57 2025 max relations containing the same ideal: 97 Mon May 19 16:44:29 2025 removing 5702322 relations and 3702322 ideals in 2000000 cliques Mon May 19 16:44:33 2025 commencing in-memory singleton removal Mon May 19 16:44:34 2025 begin with 220774674 relations and 174606776 unique ideals Mon May 19 16:44:37 2025 reduce to 220659557 relations and 170787835 ideals in 5 passes Mon May 19 16:44:37 2025 max relations containing the same ideal: 96 Mon May 19 16:45:08 2025 removing 5714630 relations and 3714630 ideals in 2000000 cliques Mon May 19 16:45:12 2025 commencing in-memory singleton removal Mon May 19 16:45:12 2025 begin with 214944927 relations and 170787835 unique ideals Mon May 19 16:45:15 2025 reduce to 214825693 relations and 166952333 ideals in 6 passes Mon May 19 16:45:15 2025 max relations containing the same ideal: 95 Mon May 19 16:45:46 2025 removing 5732937 relations and 3732937 ideals in 2000000 cliques Mon May 19 16:45:50 2025 commencing in-memory singleton removal Mon May 19 16:45:50 2025 begin with 209092756 relations and 166952333 unique ideals Mon May 19 16:45:53 2025 reduce to 208970283 relations and 163095369 ideals in 6 passes Mon May 19 16:45:53 2025 max relations containing the same ideal: 93 Mon May 19 16:46:27 2025 removing 5752769 relations and 3752769 ideals in 2000000 cliques Mon May 19 16:46:31 2025 commencing in-memory singleton removal Mon May 19 16:46:31 2025 begin with 203217514 relations and 163095369 unique ideals Mon May 19 16:46:34 2025 reduce to 203091467 relations and 159214820 ideals in 5 passes Mon May 19 16:46:34 2025 max relations containing the same ideal: 92 Mon May 19 16:47:03 2025 removing 5772321 relations and 3772321 ideals in 2000000 cliques Mon May 19 16:47:07 2025 commencing in-memory singleton removal Mon May 19 16:47:07 2025 begin with 197319146 relations and 159214820 unique ideals Mon May 19 16:47:10 2025 reduce to 197189626 relations and 155311163 ideals in 6 passes Mon May 19 16:47:10 2025 max relations containing the same ideal: 91 Mon May 19 16:47:38 2025 removing 5796359 relations and 3796359 ideals in 2000000 cliques Mon May 19 16:47:42 2025 commencing in-memory singleton removal Mon May 19 16:47:42 2025 begin with 191393267 relations and 155311163 unique ideals Mon May 19 16:47:45 2025 reduce to 191259496 relations and 151379098 ideals in 6 passes Mon May 19 16:47:45 2025 max relations containing the same ideal: 89 Mon May 19 16:48:13 2025 removing 5823259 relations and 3823259 ideals in 2000000 cliques Mon May 19 16:48:17 2025 commencing in-memory singleton removal Mon May 19 16:48:17 2025 begin with 185436237 relations and 151379098 unique ideals Mon May 19 16:48:19 2025 reduce to 185296623 relations and 147414242 ideals in 6 passes Mon May 19 16:48:19 2025 max relations containing the same ideal: 88 Mon May 19 16:48:47 2025 removing 5849230 relations and 3849230 ideals in 2000000 cliques Mon May 19 16:48:50 2025 commencing in-memory singleton removal Mon May 19 16:48:51 2025 begin with 179447393 relations and 147414242 unique ideals Mon May 19 16:48:53 2025 reduce to 179301871 relations and 143417451 ideals in 6 passes Mon May 19 16:48:53 2025 max relations containing the same ideal: 88 Mon May 19 16:49:20 2025 removing 5880618 relations and 3880618 ideals in 2000000 cliques Mon May 19 16:49:23 2025 commencing in-memory singleton removal Mon May 19 16:49:23 2025 begin with 173421253 relations and 143417451 unique ideals Mon May 19 16:49:26 2025 reduce to 173271224 relations and 139384636 ideals in 6 passes Mon May 19 16:49:26 2025 max relations containing the same ideal: 86 Mon May 19 16:49:52 2025 removing 5912535 relations and 3912535 ideals in 2000000 cliques Mon May 19 16:49:55 2025 commencing in-memory singleton removal Mon May 19 16:49:55 2025 begin with 167358689 relations and 139384636 unique ideals Mon May 19 16:49:58 2025 reduce to 167202533 relations and 135313698 ideals in 6 passes Mon May 19 16:49:58 2025 max relations containing the same ideal: 83 Mon May 19 16:50:23 2025 removing 5949919 relations and 3949919 ideals in 2000000 cliques Mon May 19 16:50:26 2025 commencing in-memory singleton removal Mon May 19 16:50:27 2025 begin with 161252614 relations and 135313698 unique ideals Mon May 19 16:50:29 2025 reduce to 161089332 relations and 131198101 ideals in 6 passes Mon May 19 16:50:29 2025 max relations containing the same ideal: 81 Mon May 19 16:50:53 2025 removing 5990759 relations and 3990759 ideals in 2000000 cliques Mon May 19 16:50:57 2025 commencing in-memory singleton removal Mon May 19 16:50:57 2025 begin with 155098573 relations and 131198101 unique ideals Mon May 19 16:50:59 2025 reduce to 154928633 relations and 127034883 ideals in 6 passes Mon May 19 16:50:59 2025 max relations containing the same ideal: 78 Mon May 19 16:51:23 2025 removing 6033785 relations and 4033785 ideals in 2000000 cliques Mon May 19 16:51:26 2025 commencing in-memory singleton removal Mon May 19 16:51:26 2025 begin with 148894848 relations and 127034883 unique ideals Mon May 19 16:51:28 2025 reduce to 148717983 relations and 122821537 ideals in 6 passes Mon May 19 16:51:28 2025 max relations containing the same ideal: 75 Mon May 19 16:51:52 2025 removing 6084021 relations and 4084021 ideals in 2000000 cliques Mon May 19 16:51:55 2025 commencing in-memory singleton removal Mon May 19 16:51:55 2025 begin with 142633962 relations and 122821537 unique ideals Mon May 19 16:51:57 2025 reduce to 142446204 relations and 118547032 ideals in 7 passes Mon May 19 16:51:57 2025 max relations containing the same ideal: 73 Mon May 19 16:52:19 2025 removing 6134078 relations and 4134078 ideals in 2000000 cliques Mon May 19 16:52:22 2025 commencing in-memory singleton removal Mon May 19 16:52:23 2025 begin with 136312126 relations and 118547032 unique ideals Mon May 19 16:52:24 2025 reduce to 136114742 relations and 114212546 ideals in 6 passes Mon May 19 16:52:24 2025 max relations containing the same ideal: 71 Mon May 19 16:52:47 2025 removing 6187960 relations and 4187960 ideals in 2000000 cliques Mon May 19 16:52:49 2025 commencing in-memory singleton removal Mon May 19 16:52:50 2025 begin with 129926782 relations and 114212546 unique ideals Mon May 19 16:52:51 2025 reduce to 129717636 relations and 109812255 ideals in 6 passes Mon May 19 16:52:51 2025 max relations containing the same ideal: 69 Mon May 19 16:53:12 2025 removing 6249412 relations and 4249412 ideals in 2000000 cliques Mon May 19 16:53:15 2025 commencing in-memory singleton removal Mon May 19 16:53:15 2025 begin with 123468224 relations and 109812255 unique ideals Mon May 19 16:53:17 2025 reduce to 123247605 relations and 105338624 ideals in 7 passes Mon May 19 16:53:17 2025 max relations containing the same ideal: 67 Mon May 19 16:53:37 2025 removing 6317021 relations and 4317021 ideals in 2000000 cliques Mon May 19 16:53:39 2025 commencing in-memory singleton removal Mon May 19 16:53:40 2025 begin with 116930584 relations and 105338624 unique ideals Mon May 19 16:53:41 2025 reduce to 116697196 relations and 100784423 ideals in 7 passes Mon May 19 16:53:41 2025 max relations containing the same ideal: 64 Mon May 19 16:54:00 2025 removing 6390994 relations and 4390994 ideals in 2000000 cliques Mon May 19 16:54:03 2025 commencing in-memory singleton removal Mon May 19 16:54:03 2025 begin with 110306202 relations and 100784423 unique ideals Mon May 19 16:54:04 2025 reduce to 110053470 relations and 96136513 ideals in 6 passes Mon May 19 16:54:04 2025 max relations containing the same ideal: 62 Mon May 19 16:54:22 2025 removing 6474782 relations and 4474782 ideals in 2000000 cliques Mon May 19 16:54:25 2025 commencing in-memory singleton removal Mon May 19 16:54:25 2025 begin with 103578688 relations and 96136513 unique ideals Mon May 19 16:54:26 2025 reduce to 103307582 relations and 91386011 ideals in 6 passes Mon May 19 16:54:26 2025 max relations containing the same ideal: 61 Mon May 19 16:54:44 2025 removing 6560318 relations and 4560318 ideals in 2000000 cliques Mon May 19 16:54:46 2025 commencing in-memory singleton removal Mon May 19 16:54:46 2025 begin with 96747264 relations and 91386011 unique ideals Mon May 19 16:54:47 2025 reduce to 96452052 relations and 86525266 ideals in 6 passes Mon May 19 16:54:47 2025 max relations containing the same ideal: 57 Mon May 19 16:55:04 2025 removing 6662798 relations and 4662798 ideals in 2000000 cliques Mon May 19 16:55:06 2025 commencing in-memory singleton removal Mon May 19 16:55:06 2025 begin with 89789254 relations and 86525266 unique ideals Mon May 19 16:55:08 2025 reduce to 89464379 relations and 81531622 ideals in 7 passes Mon May 19 16:55:08 2025 max relations containing the same ideal: 55 Mon May 19 16:55:23 2025 removing 6773250 relations and 4773250 ideals in 2000000 cliques Mon May 19 16:55:25 2025 commencing in-memory singleton removal Mon May 19 16:55:25 2025 begin with 82691129 relations and 81531622 unique ideals Mon May 19 16:55:27 2025 reduce to 82331939 relations and 76392204 ideals in 8 passes Mon May 19 16:55:27 2025 max relations containing the same ideal: 55 Mon May 19 16:55:41 2025 removing 4499930 relations and 3299208 ideals in 1200722 cliques Mon May 19 16:55:43 2025 commencing in-memory singleton removal Mon May 19 16:55:43 2025 begin with 77832009 relations and 76392204 unique ideals Mon May 19 16:55:44 2025 reduce to 77659112 relations and 72918003 ideals in 8 passes Mon May 19 16:55:44 2025 max relations containing the same ideal: 51 Mon May 19 16:56:04 2025 relations with 0 large ideals: 150846 Mon May 19 16:56:04 2025 relations with 1 large ideals: 167710 Mon May 19 16:56:04 2025 relations with 2 large ideals: 1640198 Mon May 19 16:56:04 2025 relations with 3 large ideals: 7140938 Mon May 19 16:56:04 2025 relations with 4 large ideals: 16173329 Mon May 19 16:56:04 2025 relations with 5 large ideals: 21357159 Mon May 19 16:56:04 2025 relations with 6 large ideals: 17430442 Mon May 19 16:56:04 2025 relations with 7+ large ideals: 13598490 Mon May 19 16:56:04 2025 commencing 2-way merge Mon May 19 16:56:26 2025 reduce to 50090826 relation sets and 45349717 unique ideals Mon May 19 16:56:26 2025 commencing full merge Mon May 19 17:04:30 2025 memory use: 5808.4 MB Mon May 19 17:04:33 2025 found 24240970 cycles, need 23613917 Mon May 19 17:04:39 2025 weight of 23613917 cycles is about 2597587713 (110.00/cycle) Mon May 19 17:04:39 2025 distribution of cycle lengths: Mon May 19 17:04:39 2025 1 relations: 1393704 Mon May 19 17:04:39 2025 2 relations: 1645090 Mon May 19 17:04:39 2025 3 relations: 1858301 Mon May 19 17:04:39 2025 4 relations: 1939881 Mon May 19 17:04:39 2025 5 relations: 2005269 Mon May 19 17:04:39 2025 6 relations: 2014754 Mon May 19 17:04:39 2025 7 relations: 1968877 Mon May 19 17:04:39 2025 8 relations: 1859746 Mon May 19 17:04:39 2025 9 relations: 1703873 Mon May 19 17:04:39 2025 10+ relations: 7224422 Mon May 19 17:04:39 2025 heaviest cycle: 23 relations Mon May 19 17:04:43 2025 commencing cycle optimization Mon May 19 17:05:07 2025 start with 176203179 relations Mon May 19 17:08:12 2025 pruned 7381313 relations Mon May 19 17:08:12 2025 memory use: 4989.0 MB Mon May 19 17:08:12 2025 distribution of cycle lengths: Mon May 19 17:08:12 2025 1 relations: 1393704 Mon May 19 17:08:12 2025 2 relations: 1685312 Mon May 19 17:08:12 2025 3 relations: 1936583 Mon May 19 17:08:12 2025 4 relations: 2024362 Mon May 19 17:08:12 2025 5 relations: 2113097 Mon May 19 17:08:12 2025 6 relations: 2121087 Mon May 19 17:08:12 2025 7 relations: 2081926 Mon May 19 17:08:12 2025 8 relations: 1952852 Mon May 19 17:08:12 2025 9 relations: 1780609 Mon May 19 17:08:12 2025 10+ relations: 6524385 Mon May 19 17:08:12 2025 heaviest cycle: 23 relations Mon May 19 17:08:30 2025 RelProcTime: 6005 Mon May 19 17:08:30 2025 elapsed time 01:40:06 Mon May 19 17:08:36 2025 Mon May 19 17:08:36 2025 Mon May 19 17:08:36 2025 Msieve v. 1.54 (SVN unknown) Mon May 19 17:08:36 2025 random seeds: 6d8ca45f 9e0077a5 Mon May 19 17:08:36 2025 MPI process 0 of 4 Mon May 19 17:08:36 2025 Using 10 OpenMP threads Mon May 19 17:08:36 2025 factoring 6748341153565484517600513273055040441481668912292915866442145016646086475493754954109798034395739731860574340430206557465306328076596835781343543419259080884365878495127360473751842548044171165793739807301056849409512173998800521319421442056432299328412202336346033546357 (271 digits) Mon May 19 17:08:37 2025 no P-1/P+1/ECM available, skipping Mon May 19 17:08:37 2025 commencing number field sieve (271-digit input) Mon May 19 17:08:37 2025 R0: 48873677980689257489322752273774603865660850176 Mon May 19 17:08:37 2025 R1: -867361737988403547205962240695953369140625 Mon May 19 17:08:37 2025 A0: -6 Mon May 19 17:08:37 2025 A1: 0 Mon May 19 17:08:37 2025 A2: 0 Mon May 19 17:08:37 2025 A3: 0 Mon May 19 17:08:37 2025 A4: 0 Mon May 19 17:08:37 2025 A5: 0 Mon May 19 17:08:37 2025 A6: 5 Mon May 19 17:08:37 2025 skew 1.03, size 6.008e-14, alpha 2.541, combined = 1.382e-14 rroots = 2 Mon May 19 17:08:37 2025 Mon May 19 17:08:37 2025 commencing linear algebra Mon May 19 17:08:37 2025 using VBITS=256 Mon May 19 17:08:37 2025 initialized process (0,0) of 2 x 2 grid Mon May 19 17:08:39 2025 read 23613917 cycles Mon May 19 17:09:03 2025 cycles contain 75518564 unique relations Mon May 19 17:09:58 2025 read 75518564 relations Mon May 19 17:10:12 2025 using 20 quadratic characters above 4294917295 Mon May 19 17:10:36 2025 building initial matrix Mon May 19 17:20:02 2025 memory use: 10009.6 MB Mon May 19 17:20:15 2025 read 23613917 cycles Mon May 19 17:20:17 2025 matrix is 23613732 x 23613917 (10224.8 MB) with weight 2909888743 (123.23/col) Mon May 19 17:20:17 2025 sparse part has weight 2444239144 (103.51/col) Mon May 19 17:23:00 2025 filtering completed in 2 passes Mon May 19 17:23:04 2025 matrix is 23611308 x 23611487 (10224.6 MB) with weight 2909794465 (123.24/col) Mon May 19 17:23:04 2025 sparse part has weight 2444191020 (103.52/col) Mon May 19 17:23:39 2025 matrix starts at (0, 0) Mon May 19 17:23:39 2025 matrix is 11805774 x 11805791 (2982.7 MB) with weight 896647612 (75.95/col) Mon May 19 17:23:39 2025 sparse part has weight 663840197 (56.23/col) Mon May 19 17:23:39 2025 saving the first 240 matrix rows for later Mon May 19 17:23:40 2025 matrix includes 256 packed rows Mon May 19 17:23:43 2025 matrix is 11805534 x 11805791 (2694.3 MB) with weight 558435745 (47.30/col) Mon May 19 17:23:43 2025 sparse part has weight 517413442 (43.83/col) Mon May 19 17:23:43 2025 using GPU 0 (NVIDIA H200) Mon May 19 17:23:43 2025 selected card has CUDA arch 9.0 Mon May 19 17:24:15 2025 commencing Lanczos iteration Mon May 19 17:24:16 2025 memory use: 6199.3 MB Mon May 19 17:24:25 2025 linear algebra at 0.1%, ETA 1h29m Mon May 19 17:24:34 2025 checking every 280000 dimensions, checkpointing every 17360000 dimensions Mon May 19 18:48:18 2025 lanczos halted after 92509 iterations (dim = 23611065) Mon May 19 18:49:23 2025 recovered 34 nontrivial dependencies Mon May 19 18:49:23 2025 BLanczosTime: 6046 Mon May 19 18:49:23 2025 elapsed time 01:40:47 Mon May 19 18:49:27 2025 Mon May 19 18:49:27 2025 Mon May 19 18:49:27 2025 Msieve v. 1.54 (SVN Unversioned directory) Mon May 19 18:49:27 2025 random seeds: ada81e99 a9a68eb6 Mon May 19 18:49:27 2025 MPI process 0 of 1 Mon May 19 18:49:27 2025 Using 64 OpenMP threads Mon May 19 18:49:27 2025 factoring 6748341153565484517600513273055040441481668912292915866442145016646086475493754954109798034395739731860574340430206557465306328076596835781343543419259080884365878495127360473751842548044171165793739807301056849409512173998800521319421442056432299328412202336346033546357 (271 digits) Mon May 19 18:49:28 2025 no P-1/P+1/ECM available, skipping Mon May 19 18:49:28 2025 commencing number field sieve (271-digit input) Mon May 19 18:49:28 2025 R0: 48873677980689257489322752273774603865660850176 Mon May 19 18:49:28 2025 R1: -867361737988403547205962240695953369140625 Mon May 19 18:49:28 2025 A0: -6 Mon May 19 18:49:28 2025 A1: 0 Mon May 19 18:49:28 2025 A2: 0 Mon May 19 18:49:28 2025 A3: 0 Mon May 19 18:49:28 2025 A4: 0 Mon May 19 18:49:28 2025 A5: 0 Mon May 19 18:49:28 2025 A6: 5 Mon May 19 18:49:28 2025 skew 1.03, size 6.008e-14, alpha 2.541, combined = 1.382e-14 rroots = 2 Mon May 19 18:49:28 2025 Mon May 19 18:49:28 2025 commencing square root phase Mon May 19 18:49:28 2025 reading relations for dependency 1 Mon May 19 18:49:29 2025 read 11806439 cycles Mon May 19 18:49:41 2025 cycles contain 37758594 unique relations Mon May 19 18:50:12 2025 read 37758594 relations Mon May 19 18:51:48 2025 multiplying 37758594 relations Mon May 19 18:53:24 2025 multiply complete, coefficients have about 1121.91 million bits Mon May 19 18:53:26 2025 initial square root is modulo 107827 Mon May 19 18:57:40 2025 GCD is 1, no factor found Mon May 19 18:57:40 2025 reading relations for dependency 2 Mon May 19 18:57:41 2025 read 11803513 cycles Mon May 19 18:57:54 2025 cycles contain 37753550 unique relations Mon May 19 18:58:23 2025 read 37753550 relations Mon May 19 18:59:49 2025 multiplying 37753550 relations Mon May 19 19:01:16 2025 multiply complete, coefficients have about 1121.75 million bits Mon May 19 19:01:18 2025 initial square root is modulo 107671 Mon May 19 19:05:35 2025 GCD is N, no factor found Mon May 19 19:05:35 2025 reading relations for dependency 3 Mon May 19 19:05:37 2025 read 11800627 cycles Mon May 19 19:05:49 2025 cycles contain 37747252 unique relations Mon May 19 19:06:17 2025 read 37747252 relations Mon May 19 19:07:47 2025 multiplying 37747252 relations Mon May 19 19:09:14 2025 multiply complete, coefficients have about 1121.56 million bits Mon May 19 19:09:16 2025 initial square root is modulo 107581 Mon May 19 19:13:30 2025 GCD is 1, no factor found Mon May 19 19:13:30 2025 reading relations for dependency 4 Mon May 19 19:13:31 2025 read 11801910 cycles Mon May 19 19:13:43 2025 cycles contain 37753946 unique relations Mon May 19 19:14:12 2025 read 37753946 relations Mon May 19 19:15:40 2025 multiplying 37753946 relations Mon May 19 19:17:13 2025 multiply complete, coefficients have about 1121.76 million bits Mon May 19 19:17:15 2025 initial square root is modulo 107671 Mon May 19 19:21:27 2025 found factor: 1106296349277651456892512624239929985581957793235336915163090304043031059459458224320338576998516764506029992323 Mon May 19 19:21:27 2025 reading relations for dependency 5 Mon May 19 19:21:29 2025 read 11805389 cycles Mon May 19 19:21:41 2025 cycles contain 37749728 unique relations Mon May 19 19:22:09 2025 read 37749728 relations Mon May 19 19:23:37 2025 multiplying 37749728 relations Mon May 19 19:25:07 2025 multiply complete, coefficients have about 1121.65 million bits Mon May 19 19:25:09 2025 initial square root is modulo 107581 Mon May 19 19:29:27 2025 sqrtTime: 2399 Mon May 19 19:29:27 2025 p58 factor: 3105481046944119607756722252993563685391107436059017846909 Mon May 19 19:29:27 2025 p103 factor: 1964249572831740448129644457881586835335921229451707881587957354546912604934166035904077341206233195251 Mon May 19 19:29:27 2025 p112 factor: 1106296349277651456892512624239929985581957793235336915163090304043031059459458224320338576998516764506029992323 Mon May 19 19:29:27 2025 elapsed time 00:40:00
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