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- Mon Sep 7 07:50:42 2026
- Mon Sep 7 07:50:42 2026
- Mon Sep 7 07:50:42 2026 Msieve v. 1.54 (SVN unknown)
- Mon Sep 7 07:50:42 2026 random seeds: 9a698d73 8b5ef5a9
- Mon Sep 7 07:50:42 2026 Using 8 OpenMP threads
- Mon Sep 7 07:50:42 2026 factoring 7712558157635731633993848588304510778190677631473247814903668498571550632530181014610583414606965784999005186849902746775277324059809699277386602187375885753946779742537248946276425770807 (187 digits)
- Mon Sep 7 07:50:43 2026 no P-1/P+1/ECM available, skipping
- Mon Sep 7 07:50:43 2026 commencing number field sieve (187-digit input)
- Mon Sep 7 07:50:43 2026 R0: -1561194046300930892366792170719050825
- Mon Sep 7 07:50:43 2026 R1: 123820694185867161509011
- Mon Sep 7 07:50:43 2026 A0: -21244938130217174727391342228466477306562168
- Mon Sep 7 07:50:43 2026 A1: -11849017058133149541495131288748755250
- Mon Sep 7 07:50:43 2026 A2: -11292456960202238514154361014
- Mon Sep 7 07:50:43 2026 A3: 8853794873626341989893
- Mon Sep 7 07:50:43 2026 A4: -11125364486070
- Mon Sep 7 07:50:43 2026 A5: 831600
- Mon Sep 7 07:50:43 2026 skew 48642122.62, size 3.410e-18, alpha -7.248, combined = 3.782e-14 rroots = 3
- Mon Sep 7 07:50:43 2026
- Mon Sep 7 07:50:43 2026 commencing relation filtering
- Mon Sep 7 07:50:43 2026 setting 3 target densities:Mon Sep 7 07:50:43 2026 90Mon Sep 7 07:50:43 2026 110Mon Sep 7 07:50:43 2026 130Mon Sep 7 07:50:43 2026
- Mon Sep 7 07:50:43 2026 estimated available RAM is 78540.1 MB
- Mon Sep 7 07:50:43 2026 commencing duplicate removal, pass 1
- Mon Sep 7 07:51:38 2026 error -1 reading relation 16383989
- Mon Sep 7 07:51:38 2026 error -1 reading relation 16384169
- Mon Sep 7 07:51:39 2026 error -1 reading relation 16457133
- Mon Sep 7 07:52:20 2026 error -1 reading relation 31256080
- Mon Sep 7 07:52:23 2026 error -1 reading relation 32487549
- Mon Sep 7 07:52:44 2026 error -1 reading relation 40624059
- Mon Sep 7 07:52:54 2026 error -1 reading relation 44677872
- Mon Sep 7 07:53:00 2026 error -1 reading relation 46617252
- Mon Sep 7 07:53:20 2026 error -1 reading relation 53678343
- Mon Sep 7 07:54:31 2026 error -1 reading relation 79156821
- Mon Sep 7 07:56:04 2026 error -1 reading relation 113818879
- Mon Sep 7 07:56:06 2026 error -1 reading relation 114680596
- Mon Sep 7 07:56:15 2026 error -1 reading relation 117500604
- Mon Sep 7 07:56:44 2026 error -5 reading relation 124384232
- Mon Sep 7 07:57:45 2026 error -1 reading relation 146223647
- Mon Sep 7 07:57:55 2026 error -1 reading relation 149733880
- Mon Sep 7 07:58:12 2026 error -1 reading relation 156019038
- Mon Sep 7 07:58:17 2026 error -1 reading relation 158020896
- Mon Sep 7 07:58:34 2026 error -1 reading relation 165132519
- Mon Sep 7 07:58:39 2026 error -1 reading relation 167285283
- Mon Sep 7 07:59:00 2026 error -1 reading relation 174896780
- Mon Sep 7 07:59:08 2026 error -1 reading relation 177908979
- Mon Sep 7 07:59:15 2026 error -1 reading relation 180712932
- Mon Sep 7 07:59:22 2026 error -1 reading relation 183730142
- Mon Sep 7 07:59:25 2026 error -1 reading relation 185006775
- Mon Sep 7 07:59:26 2026 error -1 reading relation 185420805
- Mon Sep 7 07:59:26 2026 error -1 reading relation 185485971
- Mon Sep 7 07:59:29 2026 error -1 reading relation 186530310
- Mon Sep 7 07:59:35 2026 error -1 reading relation 189400164
- Mon Sep 7 07:59:58 2026 error -1 reading relation 198612888
- Mon Sep 7 07:59:58 2026 error -1 reading relation 198614552
- Mon Sep 7 08:00:03 2026 error -1 reading relation 200063714
- Mon Sep 7 08:00:43 2026 error -1 reading relation 215590063
- Mon Sep 7 08:00:52 2026 error -1 reading relation 219443806
- Mon Sep 7 08:01:04 2026 error -1 reading relation 223965724
- Mon Sep 7 08:01:09 2026 error -1 reading relation 225862354
- Mon Sep 7 08:01:55 2026 error -1 reading relation 243652214
- Mon Sep 7 08:02:18 2026 error -1 reading relation 253689905
- Mon Sep 7 08:02:35 2026 error -1 reading relation 260644237
- Mon Sep 7 08:03:07 2026 error -1 reading relation 274689178
- Mon Sep 7 08:03:51 2026 error -1 reading relation 294120169
- Mon Sep 7 08:03:55 2026 error -1 reading relation 295853430
- Mon Sep 7 08:04:39 2026 error -1 reading relation 315881777
- Mon Sep 7 08:04:42 2026 error -1 reading relation 316875026
- Mon Sep 7 08:04:47 2026 error -1 reading relation 319145785
- Mon Sep 7 08:04:52 2026 error -1 reading relation 321646438
- Mon Sep 7 08:05:07 2026 error -1 reading relation 328487070
- Mon Sep 7 08:05:10 2026 error -1 reading relation 329687464
- Mon Sep 7 08:05:14 2026 error -1 reading relation 331513191
- Mon Sep 7 08:05:17 2026 error -1 reading relation 332806512
- Mon Sep 7 08:05:23 2026 error -1 reading relation 335478000
- Mon Sep 7 08:05:27 2026 error -1 reading relation 337599542
- Mon Sep 7 08:05:36 2026 error -1 reading relation 341449746
- Mon Sep 7 08:05:41 2026 error -1 reading relation 343732810
- Mon Sep 7 08:05:58 2026 error -1 reading relation 351449936
- Mon Sep 7 08:06:17 2026 error -1 reading relation 359756280
- Mon Sep 7 08:06:18 2026 error -1 reading relation 360328632
- Mon Sep 7 08:06:21 2026 error -1 reading relation 361621851
- Mon Sep 7 08:06:34 2026 error -1 reading relation 367688464
- Mon Sep 7 08:08:13 2026 error -1 reading relation 391961342
- Mon Sep 7 08:08:21 2026 error -1 reading relation 393498208
- Mon Sep 7 08:08:50 2026 error -1 reading relation 398894635
- Mon Sep 7 08:08:52 2026 error -1 reading relation 399255838
- Mon Sep 7 08:08:59 2026 error -1 reading relation 400364963
- Mon Sep 7 08:09:14 2026 error -1 reading relation 403292996
- Mon Sep 7 08:09:35 2026 error -1 reading relation 408519984
- Mon Sep 7 08:09:35 2026 error -1 reading relation 408620136
- Mon Sep 7 08:09:55 2026 error -1 reading relation 415220505
- Mon Sep 7 08:10:56 2026 error -1 reading relation 439900064
- Mon Sep 7 08:11:12 2026 error -1 reading relation 446342282
- Mon Sep 7 08:11:16 2026 error -1 reading relation 448169754
- Mon Sep 7 08:11:34 2026 error -1 reading relation 454331144
- Mon Sep 7 08:11:43 2026 error -1 reading relation 457807911
- Mon Sep 7 08:11:55 2026 error -1 reading relation 462461194
- Mon Sep 7 08:11:55 2026 error -1 reading relation 462658146
- Mon Sep 7 08:12:04 2026 error -1 reading relation 466351363
- Mon Sep 7 08:12:14 2026 error -1 reading relation 470314933
- Mon Sep 7 08:12:49 2026 error -1 reading relation 483727615
- Mon Sep 7 08:12:51 2026 error -1 reading relation 484155967
- Mon Sep 7 08:13:09 2026 error -1 reading relation 491054975
- Mon Sep 7 08:13:09 2026 error -1 reading relation 491066597
- Mon Sep 7 08:13:13 2026 error -1 reading relation 492734497
- Mon Sep 7 08:13:17 2026 error -1 reading relation 494178816
- Mon Sep 7 08:13:18 2026 error -1 reading relation 494768236
- Mon Sep 7 08:13:31 2026 error -1 reading relation 499726211
- Mon Sep 7 08:13:37 2026 error -1 reading relation 501819962
- Mon Sep 7 08:13:39 2026 error -1 reading relation 502526649
- Mon Sep 7 08:13:44 2026 error -1 reading relation 504507090
- Mon Sep 7 08:13:45 2026 error -1 reading relation 505004136
- Mon Sep 7 08:13:47 2026 error -1 reading relation 505839823
- Mon Sep 7 08:14:17 2026 error -1 reading relation 517846670
- Mon Sep 7 08:14:41 2026 error -1 reading relation 527054096
- Mon Sep 7 08:14:55 2026 error -1 reading relation 532722981
- Mon Sep 7 08:15:43 2026 error -1 reading relation 551519517
- Mon Sep 7 08:16:01 2026 error -1 reading relation 559219827
- Mon Sep 7 08:16:31 2026 error -15 reading relation 571766049
- Mon Sep 7 08:16:32 2026 error -1 reading relation 572097380
- Mon Sep 7 08:16:49 2026 error -1 reading relation 579310690
- Mon Sep 7 08:17:03 2026 error -1 reading relation 584517850
- Mon Sep 7 08:17:09 2026 error -1 reading relation 586963110
- Mon Sep 7 08:17:10 2026 error -1 reading relation 587191586
- Mon Sep 7 08:17:30 2026 error -1 reading relation 595379829
- Mon Sep 7 08:17:30 2026 error -1 reading relation 595501452
- Mon Sep 7 08:17:33 2026 error -1 reading relation 596978259
- Mon Sep 7 08:17:33 2026 error -1 reading relation 596979449
- Mon Sep 7 08:17:42 2026 error -1 reading relation 600623501
- Mon Sep 7 08:18:00 2026 error -1 reading relation 607691961
- Mon Sep 7 08:18:16 2026 error -1 reading relation 613702862
- Mon Sep 7 08:18:19 2026 error -1 reading relation 614860155
- Mon Sep 7 08:18:20 2026 error -1 reading relation 615507921
- Mon Sep 7 08:18:36 2026 error -1 reading relation 622214514
- Mon Sep 7 08:18:36 2026 error -1 reading relation 622354316
- Mon Sep 7 08:18:36 2026 error -1 reading relation 622380596
- Mon Sep 7 08:18:37 2026 error -1 reading relation 622910201
- Mon Sep 7 08:18:47 2026 error -1 reading relation 626797666
- Mon Sep 7 08:19:41 2026 error -1 reading relation 648732885
- Mon Sep 7 08:19:41 2026 error -1 reading relation 648958481
- Mon Sep 7 08:19:50 2026 error -1 reading relation 652249763
- Mon Sep 7 08:19:50 2026 skipped 1 relations with b > 2^32
- Mon Sep 7 08:19:50 2026 skipped 956 malformed relations
- Mon Sep 7 08:19:50 2026 found 135549520 hash collisions in 652388122 relations
- Mon Sep 7 08:20:06 2026 added 121864 free relations
- Mon Sep 7 08:20:06 2026 commencing duplicate removal, pass 2
- Mon Sep 7 08:29:45 2026 found 144822078 duplicates and 507687908 unique relations
- Mon Sep 7 08:29:45 2026 memory use: 3411.0 MB
- Mon Sep 7 08:29:45 2026 reading ideals above 281083904
- Mon Sep 7 08:29:45 2026 commencing singleton removal, initial pass
- Mon Sep 7 09:00:27 2026 memory use: 11024.0 MB
- Mon Sep 7 09:00:28 2026 reading all ideals from disk
- Mon Sep 7 09:00:33 2026 memory use: 13262.8 MB
- Mon Sep 7 09:00:49 2026 commencing in-memory singleton removal
- Mon Sep 7 09:00:53 2026 begin with 507687908 relations and 444185727 unique ideals
- Mon Sep 7 09:01:33 2026 reduce to 310869329 relations and 226384411 ideals in 15 passes
- Mon Sep 7 09:01:33 2026 max relations containing the same ideal: 33
- Mon Sep 7 09:01:44 2026 reading ideals above 720000
- Mon Sep 7 09:01:44 2026 commencing singleton removal, initial pass
- Mon Sep 7 09:22:08 2026 memory use: 6024.0 MB
- Mon Sep 7 09:22:08 2026 reading all ideals from disk
- Mon Sep 7 09:22:16 2026 memory use: 15451.5 MB
- Mon Sep 7 09:22:40 2026 keeping 255355461 ideals with weight <= 200, target excess is 1587565
- Mon Sep 7 09:23:12 2026 commencing in-memory singleton removal
- Mon Sep 7 09:23:17 2026 begin with 310869329 relations and 255355461 unique ideals
- Mon Sep 7 09:23:54 2026 reduce to 310861930 relations and 255348062 ideals in 8 passes
- Mon Sep 7 09:23:54 2026 max relations containing the same ideal: 200
- Mon Sep 7 09:25:37 2026 removing 14166715 relations and 12166715 ideals in 2000000 cliques
- Mon Sep 7 09:25:42 2026 commencing in-memory singleton removal
- Mon Sep 7 09:25:48 2026 begin with 296695215 relations and 255348062 unique ideals
- Mon Sep 7 09:26:17 2026 reduce to 296218528 relations and 242700449 ideals in 8 passes
- Mon Sep 7 09:26:17 2026 max relations containing the same ideal: 199
- Mon Sep 7 09:27:45 2026 removing 10694462 relations and 8694462 ideals in 2000000 cliques
- Mon Sep 7 09:27:50 2026 commencing in-memory singleton removal
- Mon Sep 7 09:27:54 2026 begin with 285524066 relations and 242700449 unique ideals
- Mon Sep 7 09:28:16 2026 reduce to 285222173 relations and 233701800 ideals in 8 passes
- Mon Sep 7 09:28:16 2026 max relations containing the same ideal: 197
- Mon Sep 7 09:29:53 2026 removing 9597834 relations and 7597834 ideals in 2000000 cliques
- Mon Sep 7 09:29:59 2026 commencing in-memory singleton removal
- Mon Sep 7 09:30:04 2026 begin with 275624339 relations and 233701800 unique ideals
- Mon Sep 7 09:30:32 2026 reduce to 275366947 relations and 225844716 ideals in 7 passes
- Mon Sep 7 09:30:32 2026 max relations containing the same ideal: 195
- Mon Sep 7 09:32:04 2026 removing 8986381 relations and 6986381 ideals in 2000000 cliques
- Mon Sep 7 09:32:10 2026 commencing in-memory singleton removal
- Mon Sep 7 09:32:14 2026 begin with 266380566 relations and 225844716 unique ideals
- Mon Sep 7 09:32:40 2026 reduce to 266142253 relations and 218618346 ideals in 7 passes
- Mon Sep 7 09:32:40 2026 max relations containing the same ideal: 190
- Mon Sep 7 09:34:05 2026 removing 8584921 relations and 6584921 ideals in 2000000 cliques
- Mon Sep 7 09:34:09 2026 commencing in-memory singleton removal
- Mon Sep 7 09:34:14 2026 begin with 257557332 relations and 218618346 unique ideals
- Mon Sep 7 09:34:35 2026 reduce to 257332315 relations and 211806745 ideals in 7 passes
- Mon Sep 7 09:34:35 2026 max relations containing the same ideal: 187
- Mon Sep 7 09:35:50 2026 removing 8290716 relations and 6290716 ideals in 2000000 cliques
- Mon Sep 7 09:35:54 2026 commencing in-memory singleton removal
- Mon Sep 7 09:35:58 2026 begin with 249041599 relations and 211806745 unique ideals
- Mon Sep 7 09:36:15 2026 reduce to 248824696 relations and 205297520 ideals in 8 passes
- Mon Sep 7 09:36:15 2026 max relations containing the same ideal: 185
- Mon Sep 7 09:37:14 2026 removing 8074847 relations and 6074847 ideals in 2000000 cliques
- Mon Sep 7 09:37:18 2026 commencing in-memory singleton removal
- Mon Sep 7 09:37:21 2026 begin with 240749849 relations and 205297520 unique ideals
- Mon Sep 7 09:37:36 2026 reduce to 240535678 relations and 199006921 ideals in 7 passes
- Mon Sep 7 09:37:36 2026 max relations containing the same ideal: 181
- Mon Sep 7 09:38:33 2026 removing 7908166 relations and 5908166 ideals in 2000000 cliques
- Mon Sep 7 09:38:37 2026 commencing in-memory singleton removal
- Mon Sep 7 09:38:40 2026 begin with 232627512 relations and 199006921 unique ideals
- Mon Sep 7 09:38:53 2026 reduce to 232415312 relations and 192884848 ideals in 7 passes
- Mon Sep 7 09:38:53 2026 max relations containing the same ideal: 178
- Mon Sep 7 09:39:48 2026 removing 7776769 relations and 5776769 ideals in 2000000 cliques
- Mon Sep 7 09:39:52 2026 commencing in-memory singleton removal
- Mon Sep 7 09:39:55 2026 begin with 224638543 relations and 192884848 unique ideals
- Mon Sep 7 09:40:08 2026 reduce to 224427159 relations and 186895039 ideals in 7 passes
- Mon Sep 7 09:40:08 2026 max relations containing the same ideal: 172
- Mon Sep 7 09:41:03 2026 removing 7671996 relations and 5671996 ideals in 2000000 cliques
- Mon Sep 7 09:41:06 2026 commencing in-memory singleton removal
- Mon Sep 7 09:41:09 2026 begin with 216755163 relations and 186895039 unique ideals
- Mon Sep 7 09:41:19 2026 reduce to 216541793 relations and 181007924 ideals in 6 passes
- Mon Sep 7 09:41:19 2026 max relations containing the same ideal: 168
- Mon Sep 7 09:42:15 2026 removing 7592092 relations and 5592092 ideals in 2000000 cliques
- Mon Sep 7 09:42:18 2026 commencing in-memory singleton removal
- Mon Sep 7 09:42:20 2026 begin with 208949701 relations and 181007924 unique ideals
- Mon Sep 7 09:42:31 2026 reduce to 208735040 relations and 175199337 ideals in 6 passes
- Mon Sep 7 09:42:31 2026 max relations containing the same ideal: 166
- Mon Sep 7 09:43:25 2026 removing 7527890 relations and 5527890 ideals in 2000000 cliques
- Mon Sep 7 09:43:29 2026 commencing in-memory singleton removal
- Mon Sep 7 09:43:31 2026 begin with 201207150 relations and 175199337 unique ideals
- Mon Sep 7 09:43:43 2026 reduce to 200987798 relations and 169450062 ideals in 7 passes
- Mon Sep 7 09:43:43 2026 max relations containing the same ideal: 164
- Mon Sep 7 09:44:40 2026 removing 7483912 relations and 5483912 ideals in 2000000 cliques
- Mon Sep 7 09:44:45 2026 commencing in-memory singleton removal
- Mon Sep 7 09:44:48 2026 begin with 193503886 relations and 169450062 unique ideals
- Mon Sep 7 09:44:59 2026 reduce to 193278817 relations and 163739007 ideals in 7 passes
- Mon Sep 7 09:44:59 2026 max relations containing the same ideal: 161
- Mon Sep 7 09:45:53 2026 removing 7450229 relations and 5450229 ideals in 2000000 cliques
- Mon Sep 7 09:45:56 2026 commencing in-memory singleton removal
- Mon Sep 7 09:45:59 2026 begin with 185828588 relations and 163739007 unique ideals
- Mon Sep 7 09:46:08 2026 reduce to 185598226 relations and 158056183 ideals in 6 passes
- Mon Sep 7 09:46:08 2026 max relations containing the same ideal: 154
- Mon Sep 7 09:46:56 2026 removing 7430070 relations and 5430070 ideals in 2000000 cliques
- Mon Sep 7 09:46:59 2026 commencing in-memory singleton removal
- Mon Sep 7 09:47:01 2026 begin with 178168156 relations and 158056183 unique ideals
- Mon Sep 7 09:47:11 2026 reduce to 177928650 relations and 152384253 ideals in 7 passes
- Mon Sep 7 09:47:11 2026 max relations containing the same ideal: 149
- Mon Sep 7 09:47:58 2026 removing 7420717 relations and 5420717 ideals in 2000000 cliques
- Mon Sep 7 09:48:01 2026 commencing in-memory singleton removal
- Mon Sep 7 09:48:03 2026 begin with 170507933 relations and 152384253 unique ideals
- Mon Sep 7 09:48:10 2026 reduce to 170259676 relations and 146712766 ideals in 6 passes
- Mon Sep 7 09:48:10 2026 max relations containing the same ideal: 144
- Mon Sep 7 09:48:55 2026 removing 7424515 relations and 5424515 ideals in 2000000 cliques
- Mon Sep 7 09:48:58 2026 commencing in-memory singleton removal
- Mon Sep 7 09:49:00 2026 begin with 162835161 relations and 146712766 unique ideals
- Mon Sep 7 09:49:08 2026 reduce to 162576649 relations and 141026949 ideals in 7 passes
- Mon Sep 7 09:49:08 2026 max relations containing the same ideal: 141
- Mon Sep 7 09:49:52 2026 removing 7438223 relations and 5438223 ideals in 2000000 cliques
- Mon Sep 7 09:49:55 2026 commencing in-memory singleton removal
- Mon Sep 7 09:49:57 2026 begin with 155138426 relations and 141026949 unique ideals
- Mon Sep 7 09:50:06 2026 reduce to 154868797 relations and 135316084 ideals in 7 passes
- Mon Sep 7 09:50:06 2026 max relations containing the same ideal: 137
- Mon Sep 7 09:50:46 2026 removing 7458991 relations and 5458991 ideals in 2000000 cliques
- Mon Sep 7 09:50:48 2026 commencing in-memory singleton removal
- Mon Sep 7 09:50:50 2026 begin with 147409806 relations and 135316084 unique ideals
- Mon Sep 7 09:50:59 2026 reduce to 147123596 relations and 129567579 ideals in 7 passes
- Mon Sep 7 09:50:59 2026 max relations containing the same ideal: 132
- Mon Sep 7 09:51:37 2026 removing 7491041 relations and 5491041 ideals in 2000000 cliques
- Mon Sep 7 09:51:39 2026 commencing in-memory singleton removal
- Mon Sep 7 09:51:41 2026 begin with 139632555 relations and 129567579 unique ideals
- Mon Sep 7 09:51:48 2026 reduce to 139328863 relations and 123769138 ideals in 7 passes
- Mon Sep 7 09:51:48 2026 max relations containing the same ideal: 130
- Mon Sep 7 09:52:25 2026 removing 7539878 relations and 5539878 ideals in 2000000 cliques
- Mon Sep 7 09:52:27 2026 commencing in-memory singleton removal
- Mon Sep 7 09:52:29 2026 begin with 131788985 relations and 123769138 unique ideals
- Mon Sep 7 09:52:39 2026 reduce to 131465220 relations and 117901326 ideals in 7 passes
- Mon Sep 7 09:52:39 2026 max relations containing the same ideal: 124
- Mon Sep 7 09:53:23 2026 removing 7601900 relations and 5601900 ideals in 2000000 cliques
- Mon Sep 7 09:53:26 2026 commencing in-memory singleton removal
- Mon Sep 7 09:53:28 2026 begin with 123863320 relations and 117901326 unique ideals
- Mon Sep 7 09:53:37 2026 reduce to 123515724 relations and 111947112 ideals in 7 passes
- Mon Sep 7 09:53:37 2026 max relations containing the same ideal: 118
- Mon Sep 7 09:54:19 2026 removing 7680410 relations and 5680410 ideals in 2000000 cliques
- Mon Sep 7 09:54:22 2026 commencing in-memory singleton removal
- Mon Sep 7 09:54:23 2026 begin with 115835314 relations and 111947112 unique ideals
- Mon Sep 7 09:54:32 2026 reduce to 115455786 relations and 105881907 ideals in 7 passes
- Mon Sep 7 09:54:32 2026 max relations containing the same ideal: 111
- Mon Sep 7 09:55:13 2026 removing 7773293 relations and 5773293 ideals in 2000000 cliques
- Mon Sep 7 09:55:16 2026 commencing in-memory singleton removal
- Mon Sep 7 09:55:17 2026 begin with 107682493 relations and 105881907 unique ideals
- Mon Sep 7 09:55:25 2026 reduce to 107268030 relations and 99687870 ideals in 7 passes
- Mon Sep 7 09:55:25 2026 max relations containing the same ideal: 106
- Mon Sep 7 09:56:01 2026 removing 7887109 relations and 5887109 ideals in 2000000 cliques
- Mon Sep 7 09:56:03 2026 commencing in-memory singleton removal
- Mon Sep 7 09:56:05 2026 begin with 99380921 relations and 99687870 unique ideals
- Mon Sep 7 09:56:14 2026 reduce to 98920958 relations and 93333476 ideals in 8 passes
- Mon Sep 7 09:56:14 2026 max relations containing the same ideal: 98
- Mon Sep 7 09:56:47 2026 removing 8021707 relations and 6021707 ideals in 2000000 cliques
- Mon Sep 7 09:56:50 2026 commencing in-memory singleton removal
- Mon Sep 7 09:56:51 2026 begin with 90899251 relations and 93333476 unique ideals
- Mon Sep 7 09:56:59 2026 reduce to 90376451 relations and 86780125 ideals in 8 passes
- Mon Sep 7 09:56:59 2026 max relations containing the same ideal: 93
- Mon Sep 7 09:57:30 2026 removing 7365821 relations and 5611071 ideals in 1754750 cliques
- Mon Sep 7 09:57:31 2026 commencing in-memory singleton removal
- Mon Sep 7 09:57:32 2026 begin with 83010630 relations and 86780125 unique ideals
- Mon Sep 7 09:57:39 2026 reduce to 82529941 relations and 80680441 ideals in 8 passes
- Mon Sep 7 09:57:39 2026 max relations containing the same ideal: 88
- Mon Sep 7 09:58:09 2026 trying target density 90
- Mon Sep 7 09:58:16 2026 relations with 0 large ideals: 5790
- Mon Sep 7 09:58:16 2026 relations with 1 large ideals: 23325
- Mon Sep 7 09:58:16 2026 relations with 2 large ideals: 357570
- Mon Sep 7 09:58:16 2026 relations with 3 large ideals: 2344279
- Mon Sep 7 09:58:16 2026 relations with 4 large ideals: 8271972
- Mon Sep 7 09:58:16 2026 relations with 5 large ideals: 17328029
- Mon Sep 7 09:58:16 2026 relations with 6 large ideals: 22647649
- Mon Sep 7 09:58:16 2026 relations with 7+ large ideals: 31551327
- Mon Sep 7 09:58:16 2026 commencing 2-way merge
- Mon Sep 7 09:59:05 2026 reduce to 50958206 relation sets and 49108706 unique ideals
- Mon Sep 7 09:59:05 2026 commencing full merge
- Mon Sep 7 10:11:12 2026 memory use: 5867.5 MB
- Mon Sep 7 10:11:18 2026 found 25451587 cycles, need 25198906
- Mon Sep 7 10:11:26 2026 weight of 25198906 cycles is about 2267929833 (90.00/cycle)
- Mon Sep 7 10:11:27 2026 distribution of cycle lengths:
- Mon Sep 7 10:11:27 2026 1 relations: 2651806
- Mon Sep 7 10:11:27 2026 2 relations: 2451218
- Mon Sep 7 10:11:27 2026 3 relations: 2480499
- Mon Sep 7 10:11:27 2026 4 relations: 2445913
- Mon Sep 7 10:11:27 2026 5 relations: 2351673
- Mon Sep 7 10:11:27 2026 6 relations: 2232650
- Mon Sep 7 10:11:27 2026 7 relations: 2047793
- Mon Sep 7 10:11:27 2026 8 relations: 1821764
- Mon Sep 7 10:11:27 2026 9 relations: 1560898
- Mon Sep 7 10:11:27 2026 10+ relations: 5154692
- Mon Sep 7 10:11:27 2026 heaviest cycle: 21 relations
- Mon Sep 7 10:11:33 2026 commencing cycle optimization
- Mon Sep 7 10:12:11 2026 start with 156567253 relations
- Mon Sep 7 10:15:33 2026 pruned 4515924 relations
- Mon Sep 7 10:15:37 2026 memory use: 4979.1 MB
- Mon Sep 7 10:15:37 2026 distribution of cycle lengths:
- Mon Sep 7 10:15:37 2026 1 relations: 2651806
- Mon Sep 7 10:15:37 2026 2 relations: 2508354
- Mon Sep 7 10:15:37 2026 3 relations: 2571633
- Mon Sep 7 10:15:37 2026 4 relations: 2517357
- Mon Sep 7 10:15:37 2026 5 relations: 2432875
- Mon Sep 7 10:15:37 2026 6 relations: 2294381
- Mon Sep 7 10:15:37 2026 7 relations: 2102267
- Mon Sep 7 10:15:37 2026 8 relations: 1849661
- Mon Sep 7 10:15:37 2026 9 relations: 1569428
- Mon Sep 7 10:15:37 2026 10+ relations: 4701144
- Mon Sep 7 10:15:37 2026 heaviest cycle: 21 relations
- Mon Sep 7 10:16:47 2026 trying target density 110
- Mon Sep 7 10:16:53 2026 relations with 0 large ideals: 5790
- Mon Sep 7 10:16:53 2026 relations with 1 large ideals: 23325
- Mon Sep 7 10:16:53 2026 relations with 2 large ideals: 357570
- Mon Sep 7 10:16:53 2026 relations with 3 large ideals: 2344279
- Mon Sep 7 10:16:53 2026 relations with 4 large ideals: 8271972
- Mon Sep 7 10:16:53 2026 relations with 5 large ideals: 17328029
- Mon Sep 7 10:16:53 2026 relations with 6 large ideals: 22647649
- Mon Sep 7 10:16:53 2026 relations with 7+ large ideals: 31551327
- Mon Sep 7 10:16:53 2026 commencing 2-way merge
- Mon Sep 7 10:17:39 2026 reduce to 50958206 relation sets and 49108706 unique ideals
- Mon Sep 7 10:17:39 2026 commencing full merge
- Mon Sep 7 10:32:43 2026 memory use: 6035.7 MB
- Mon Sep 7 10:32:48 2026 found 23718285 cycles, need 23512906
- Mon Sep 7 10:32:54 2026 weight of 23512906 cycles is about 2587027826 (110.03/cycle)
- Mon Sep 7 10:32:54 2026 distribution of cycle lengths:
- Mon Sep 7 10:32:54 2026 1 relations: 1878472
- Mon Sep 7 10:32:54 2026 2 relations: 1855846
- Mon Sep 7 10:32:54 2026 3 relations: 1910395
- Mon Sep 7 10:32:54 2026 4 relations: 1872589
- Mon Sep 7 10:32:54 2026 5 relations: 1863069
- Mon Sep 7 10:32:54 2026 6 relations: 1808229
- Mon Sep 7 10:32:54 2026 7 relations: 1752580
- Mon Sep 7 10:32:54 2026 8 relations: 1643769
- Mon Sep 7 10:32:54 2026 9 relations: 1503034
- Mon Sep 7 10:32:54 2026 10+ relations: 7424923
- Mon Sep 7 10:32:54 2026 heaviest cycle: 26 relations
- Mon Sep 7 10:32:58 2026 commencing cycle optimization
- Mon Sep 7 10:33:37 2026 start with 178019284 relations
- Mon Sep 7 10:38:19 2026 pruned 6466705 relations
- Mon Sep 7 10:38:21 2026 memory use: 5203.1 MB
- Mon Sep 7 10:38:21 2026 distribution of cycle lengths:
- Mon Sep 7 10:38:21 2026 1 relations: 1878472
- Mon Sep 7 10:38:21 2026 2 relations: 1901224
- Mon Sep 7 10:38:21 2026 3 relations: 1983892
- Mon Sep 7 10:38:21 2026 4 relations: 1937440
- Mon Sep 7 10:38:21 2026 5 relations: 1940570
- Mon Sep 7 10:38:21 2026 6 relations: 1876944
- Mon Sep 7 10:38:21 2026 7 relations: 1820941
- Mon Sep 7 10:38:21 2026 8 relations: 1697755
- Mon Sep 7 10:38:21 2026 9 relations: 1546544
- Mon Sep 7 10:38:21 2026 10+ relations: 6929124
- Mon Sep 7 10:38:21 2026 heaviest cycle: 26 relations
- Mon Sep 7 10:39:02 2026 trying target density 130
- Mon Sep 7 10:39:09 2026 relations with 0 large ideals: 5790
- Mon Sep 7 10:39:09 2026 relations with 1 large ideals: 23325
- Mon Sep 7 10:39:09 2026 relations with 2 large ideals: 357570
- Mon Sep 7 10:39:09 2026 relations with 3 large ideals: 2344279
- Mon Sep 7 10:39:09 2026 relations with 4 large ideals: 8271972
- Mon Sep 7 10:39:09 2026 relations with 5 large ideals: 17328029
- Mon Sep 7 10:39:09 2026 relations with 6 large ideals: 22647649
- Mon Sep 7 10:39:09 2026 relations with 7+ large ideals: 31551327
- Mon Sep 7 10:39:09 2026 commencing 2-way merge
- Mon Sep 7 10:39:47 2026 reduce to 50958206 relation sets and 49108706 unique ideals
- Mon Sep 7 10:39:47 2026 commencing full merge
- Mon Sep 7 10:56:47 2026 memory use: 6142.8 MB
- Mon Sep 7 10:56:53 2026 found 22348443 cycles, need 22286906
- Mon Sep 7 10:56:59 2026 weight of 22286906 cycles is about 2897554458 (130.01/cycle)
- Mon Sep 7 10:56:59 2026 distribution of cycle lengths:
- Mon Sep 7 10:56:59 2026 1 relations: 1370783
- Mon Sep 7 10:56:59 2026 2 relations: 1469550
- Mon Sep 7 10:56:59 2026 3 relations: 1543038
- Mon Sep 7 10:56:59 2026 4 relations: 1518627
- Mon Sep 7 10:56:59 2026 5 relations: 1533846
- Mon Sep 7 10:56:59 2026 6 relations: 1495073
- Mon Sep 7 10:56:59 2026 7 relations: 1489462
- Mon Sep 7 10:56:59 2026 8 relations: 1422056
- Mon Sep 7 10:56:59 2026 9 relations: 1362780
- Mon Sep 7 10:56:59 2026 10+ relations: 9081691
- Mon Sep 7 10:56:59 2026 heaviest cycle: 28 relations
- Mon Sep 7 10:57:03 2026 commencing cycle optimization
- Mon Sep 7 10:57:54 2026 start with 198608742 relations
- Mon Sep 7 11:04:40 2026 pruned 8503152 relations
- Mon Sep 7 11:04:40 2026 memory use: 5412.9 MB
- Mon Sep 7 11:04:41 2026 distribution of cycle lengths:
- Mon Sep 7 11:04:41 2026 1 relations: 1370783
- Mon Sep 7 11:04:41 2026 2 relations: 1506260
- Mon Sep 7 11:04:41 2026 3 relations: 1604175
- Mon Sep 7 11:04:41 2026 4 relations: 1575990
- Mon Sep 7 11:04:41 2026 5 relations: 1601886
- Mon Sep 7 11:04:41 2026 6 relations: 1562083
- Mon Sep 7 11:04:41 2026 7 relations: 1558214
- Mon Sep 7 11:04:41 2026 8 relations: 1485433
- Mon Sep 7 11:04:41 2026 9 relations: 1420897
- Mon Sep 7 11:04:41 2026 10+ relations: 8601185
- Mon Sep 7 11:04:41 2026 heaviest cycle: 28 relations
- Mon Sep 7 11:05:22 2026 RelProcTime: 11679
- Mon Sep 7 11:05:22 2026
- Mon Sep 7 11:05:22 2026 commencing linear algebra
- Mon Sep 7 11:05:22 2026 using VBITS=256
- Mon Sep 7 11:05:22 2026 building matrices for all densities
- Mon Sep 7 11:05:22 2026 found 3 density files
- Mon Sep 7 11:05:22 2026 building matrix for density 90
- Mon Sep 7 11:05:42 2026 read 25198906 cycles
- Mon Sep 7 11:06:37 2026 cycles contain 81283747 unique relations
- Mon Sep 7 11:12:45 2026 read 81283747 relations
- Mon Sep 7 11:13:11 2026 using 20 quadratic characters above 4294917295
- Mon Sep 7 11:13:46 2026 building initial matrix
- Mon Sep 7 11:29:41 2026 memory use: 11303.8 MB
- Mon Sep 7 11:30:27 2026 read 25198906 cycles
- Mon Sep 7 11:30:31 2026 matrix is 25198727 x 25198906 (9439.1 MB) with weight 2876636374 (114.16/col)
- Mon Sep 7 11:30:31 2026 sparse part has weight 2172007325 (86.19/col)
- Mon Sep 7 11:34:33 2026 filtering completed in 2 passes
- Mon Sep 7 11:34:38 2026 matrix is 25192743 x 25192919 (9438.6 MB) with weight 2876407795 (114.18/col)
- Mon Sep 7 11:34:38 2026 sparse part has weight 2171944990 (86.21/col)
- Mon Sep 7 11:36:01 2026 building matrix for density 110
- Mon Sep 7 11:36:04 2026 read 23512906 cycles
- Mon Sep 7 11:36:45 2026 cycles contain 81308864 unique relations
- Mon Sep 7 11:42:58 2026 read 81308864 relations
- Mon Sep 7 11:43:44 2026 using 20 quadratic characters above 4294917295
- Mon Sep 7 11:44:28 2026 building initial matrix
- Mon Sep 7 12:02:36 2026 memory use: 11329.7 MB
- Mon Sep 7 12:02:43 2026 read 23512906 cycles
- Mon Sep 7 12:02:46 2026 matrix is 23512727 x 23512906 (10388.6 MB) with weight 3140155153 (133.55/col)
- Mon Sep 7 12:02:46 2026 sparse part has weight 2441152056 (103.82/col)
- Mon Sep 7 12:06:01 2026 filtering completed in 2 passes
- Mon Sep 7 12:06:06 2026 matrix is 23510138 x 23510315 (10388.3 MB) with weight 3140039699 (133.56/col)
- Mon Sep 7 12:06:06 2026 sparse part has weight 2441116094 (103.83/col)
- Mon Sep 7 12:06:52 2026 building matrix for density 130
- Mon Sep 7 12:06:54 2026 read 22286906 cycles
- Mon Sep 7 12:07:22 2026 cycles contain 81313503 unique relations
- Mon Sep 7 12:10:56 2026 read 81313503 relations
- Mon Sep 7 12:11:23 2026 using 20 quadratic characters above 4294917295
- Mon Sep 7 12:11:49 2026 building initial matrix
- Mon Sep 7 12:25:42 2026 memory use: 11363.6 MB
- Mon Sep 7 12:25:50 2026 read 22286906 cycles
- Mon Sep 7 12:25:53 2026 matrix is 22286729 x 22286906 (11313.6 MB) with weight 3393997262 (152.29/col)
- Mon Sep 7 12:25:53 2026 sparse part has weight 2698362390 (121.07/col)
- Mon Sep 7 12:29:17 2026 filtering completed in 2 passes
- Mon Sep 7 12:29:22 2026 matrix is 22286207 x 22286382 (11313.6 MB) with weight 3393972148 (152.29/col)
- Mon Sep 7 12:29:22 2026 sparse part has weight 2698354822 (121.08/col)
- Mon Sep 7 12:30:20 2026 BLanczosTime: 5098
- Mon Sep 7 12:30:20 2026 elapsed time 04:39:38
- Mon Sep 7 18:54:11 2026
- Mon Sep 7 18:54:11 2026
- Mon Sep 7 18:54:11 2026 Msieve v. 1.54 (SVN unknown)
- Mon Sep 7 18:54:11 2026 random seeds: 4d9a22e6 6b83c76b
- Mon Sep 7 18:54:11 2026 factoring 7712558157635731633993848588304510778190677631473247814903668498571550632530181014610583414606965784999005186849902746775277324059809699277386602187375885753946779742537248946276425770807 (187 digits)
- Mon Sep 7 18:54:11 2026 no P-1/P+1/ECM available, skipping
- Mon Sep 7 18:54:11 2026 commencing number field sieve (187-digit input)
- Mon Sep 7 18:54:11 2026 R0: -1561194046300930892366792170719050825
- Mon Sep 7 18:54:11 2026 R1: 123820694185867161509011
- Mon Sep 7 18:54:11 2026 A0: -21244938130217174727391342228466477306562168
- Mon Sep 7 18:54:11 2026 A1: -11849017058133149541495131288748755250
- Mon Sep 7 18:54:11 2026 A2: -11292456960202238514154361014
- Mon Sep 7 18:54:11 2026 A3: 8853794873626341989893
- Mon Sep 7 18:54:11 2026 A4: -11125364486070
- Mon Sep 7 18:54:11 2026 A5: 831600
- Mon Sep 7 18:54:11 2026 skew 48642122.62, size 3.410e-18, alpha -7.248, combined = 3.782e-14 rroots = 3
- Mon Sep 7 18:54:11 2026
- Mon Sep 7 18:54:11 2026 commencing linear algebra
- Mon Sep 7 18:54:11 2026 using VBITS=256
- Mon Sep 7 18:54:11 2026 skipping matrix build
- Mon Sep 7 18:54:52 2026 matrix starts at (0, 0)
- Mon Sep 7 18:54:55 2026 matrix is 22286207 x 22286382 (11313.6 MB) with weight 3393972148 (152.29/col)
- Mon Sep 7 18:54:55 2026 sparse part has weight 2698354822 (121.08/col)
- Mon Sep 7 18:54:55 2026 saving the first 240 matrix rows for later
- Mon Sep 7 18:55:02 2026 matrix includes 256 packed rows
- Mon Sep 7 18:55:10 2026 matrix is 22285967 x 22286382 (10244.1 MB) with weight 2475577144 (111.08/col)
- Mon Sep 7 18:55:10 2026 sparse part has weight 2328845648 (104.50/col)
- Mon Sep 7 18:55:10 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
- Mon Sep 7 18:55:10 2026 selected card has CUDA arch 12.0
- Mon Sep 7 18:55:12 2026 computed block_nnz 164358552 (L2 cache 100663296 bytes, average column weight 104.5)
- Mon Sep 7 18:55:12 2026 nonzeros per matrix block: 256000000
- Mon Sep 7 19:01:39 2026 commencing Lanczos iteration
- Mon Sep 7 19:01:41 2026 memory use: 24909.0 MB
- Mon Sep 7 19:02:02 2026 linear algebra at 0.1%, ETA 4h 2m
- Mon Sep 7 19:02:31 2026 checking every 90000 dimensions, checkpointing every 5670000 dimensions
- Mon Sep 7 23:01:39 2026 lanczos halted after 87317 iterations (dim = 22285967)
- Mon Sep 7 23:03:47 2026 recovered 31 nontrivial dependencies
- Mon Sep 7 23:03:48 2026 BLanczosTime: 14977
- Mon Sep 7 23:03:48 2026 elapsed time 04:09:37
- Mon Sep 7 19:21:55 2026
- Mon Sep 7 19:21:55 2026
- Mon Sep 7 19:21:55 2026 Msieve v. 1.54 (SVN unknown)
- Mon Sep 7 19:21:55 2026 random seeds: 8bff9ed7 7a284c88
- Mon Sep 7 19:21:55 2026 Using 14 OpenMP threads
- Mon Sep 7 19:21:55 2026 factoring 7712558157635731633993848588304510778190677631473247814903668498571550632530181014610583414606965784999005186849902746775277324059809699277386602187375885753946779742537248946276425770807 (187 digits)
- Mon Sep 7 19:21:55 2026 no P-1/P+1/ECM available, skipping
- Mon Sep 7 19:21:55 2026 commencing number field sieve (187-digit input)
- Mon Sep 7 19:21:55 2026 R0: -1561194046300930892366792170719050825
- Mon Sep 7 19:21:55 2026 R1: 123820694185867161509011
- Mon Sep 7 19:21:55 2026 A0: -21244938130217174727391342228466477306562168
- Mon Sep 7 19:21:55 2026 A1: -11849017058133149541495131288748755250
- Mon Sep 7 19:21:55 2026 A2: -11292456960202238514154361014
- Mon Sep 7 19:21:55 2026 A3: 8853794873626341989893
- Mon Sep 7 19:21:55 2026 A4: -11125364486070
- Mon Sep 7 19:21:55 2026 A5: 831600
- Mon Sep 7 19:21:55 2026 skew 48642122.62, size 3.410e-18, alpha -7.248, combined = 3.782e-14 rroots = 3
- Mon Sep 7 19:21:55 2026
- Mon Sep 7 19:21:55 2026 commencing square root phase
- Mon Sep 7 19:21:55 2026 reading relations for dependency 1
- Mon Sep 7 19:21:57 2026 read 11141909 cycles
- Mon Sep 7 19:22:10 2026 cycles contain 40648168 unique relations
- Mon Sep 7 19:24:35 2026 read 40648168 relations
- Mon Sep 7 19:26:21 2026 multiplying 40648168 relations
- Mon Sep 7 19:30:19 2026 multiply complete, coefficients have about 2421.82 million bits
- Mon Sep 7 19:30:23 2026 initial square root is modulo 270307
- Mon Sep 7 19:38:18 2026 GCD is 1, no factor found
- Mon Sep 7 19:38:18 2026 reading relations for dependency 2
- Mon Sep 7 19:38:19 2026 read 11142986 cycles
- Mon Sep 7 19:38:35 2026 cycles contain 40651122 unique relations
- Mon Sep 7 19:47:48 2026 read 40651122 relations
- Mon Sep 7 19:50:15 2026 multiplying 40651122 relations
- Mon Sep 7 19:54:36 2026 multiply complete, coefficients have about 2422.00 million bits
- Mon Sep 7 19:54:41 2026 initial square root is modulo 270527
- Mon Sep 7 20:03:16 2026 sqrtTime: 2481
- Mon Sep 7 20:03:16 2026 p68 factor: 98257004438052749844540628585357068500984630123324588004491673473329
- Mon Sep 7 20:03:16 2026 p119 factor: 78493723696799671635348979043183859564700940518830151159440179705347336757638330931056081494407899346532844903940580583
- Mon Sep 7 20:03:16 2026 elapsed time 00:41:21
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