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Sat Sep 27 12:12:03 2025 Sat Sep 27 12:12:03 2025 Sat Sep 27 12:12:03 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 12:12:03 2025 random seeds: a613418d 8609c0a9 Sat Sep 27 12:12:03 2025 MPI process 0 of 1 Sat Sep 27 12:12:03 2025 Using 46 OpenMP threads Sat Sep 27 12:12:03 2025 factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (267 digits) Sat Sep 27 12:12:04 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 12:12:04 2025 commencing number field sieve (267-digit input) Sat Sep 27 12:12:04 2025 R0: 100000000000000000000000000000000000000000000 Sat Sep 27 12:12:04 2025 R1: -1 Sat Sep 27 12:12:04 2025 A0: -1 Sat Sep 27 12:12:04 2025 A1: 0 Sat Sep 27 12:12:04 2025 A2: 0 Sat Sep 27 12:12:04 2025 A3: 120 Sat Sep 27 12:12:04 2025 A4: 0 Sat Sep 27 12:12:04 2025 A5: 0 Sat Sep 27 12:12:04 2025 A6: 1000 Sat Sep 27 12:12:04 2025 skew 1.00, size 2.799e-13, alpha 0.763, combined = 4.378e-14 rroots = 2 Sat Sep 27 12:12:04 2025 Sat Sep 27 12:12:04 2025 commencing relation filtering Sat Sep 27 12:12:04 2025 setting target matrix density to 110.0 Sat Sep 27 12:12:04 2025 estimated available RAM is 385608.3 MB Sat Sep 27 12:12:04 2025 commencing duplicate removal, pass 1 Sat Sep 27 12:12:21 2025 error -11 reading relation 23288870 Sat Sep 27 12:14:56 2025 error -1 reading relation 250406642 Sat Sep 27 12:14:56 2025 error -1 reading relation 250406643 Sat Sep 27 12:14:56 2025 error -1 reading relation 250406644 Sat Sep 27 12:14:56 2025 error -1 reading relation 250406645 Sat Sep 27 12:19:01 2025 error -1 reading relation 613081665 Sat Sep 27 12:19:25 2025 error -5 reading relation 648510227 Sat Sep 27 12:20:14 2025 error -6 reading relation 723672426 Sat Sep 27 12:20:29 2025 skipped 20113 relations with b > 2^32 Sat Sep 27 12:20:29 2025 skipped 4 relations with composite factors Sat Sep 27 12:20:29 2025 skipped 655 malformed relations Sat Sep 27 12:20:29 2025 found 30545263 hash collisions in 745314632 relations Sat Sep 27 12:20:40 2025 added 1218705 free relations Sat Sep 27 12:20:40 2025 commencing duplicate removal, pass 2 Sat Sep 27 12:23:46 2025 found 0 duplicates and 746533337 unique relations Sat Sep 27 12:23:46 2025 memory use: 2217.5 MB Sat Sep 27 12:23:46 2025 reading ideals above 720000 Sat Sep 27 12:23:47 2025 commencing singleton removal, initial pass Sat Sep 27 13:01:37 2025 memory use: 11024.0 MB Sat Sep 27 13:01:38 2025 reading all ideals from disk Sat Sep 27 13:02:01 2025 memory use: 37205.6 MB Sat Sep 27 13:03:34 2025 keeping 629899815 ideals with weight <= 200, target excess is 3848474 Sat Sep 27 13:05:14 2025 commencing in-memory singleton removal Sat Sep 27 13:05:21 2025 begin with 746533337 relations and 629899815 unique ideals Sat Sep 27 13:05:59 2025 reduce to 506137445 relations and 368132856 ideals in 14 passes Sat Sep 27 13:05:59 2025 max relations containing the same ideal: 169 Sat Sep 27 13:08:30 2025 removing 12462071 relations and 10462071 ideals in 2000000 cliques Sat Sep 27 13:08:42 2025 commencing in-memory singleton removal Sat Sep 27 13:08:47 2025 begin with 493675374 relations and 368132856 unique ideals Sat Sep 27 13:09:00 2025 reduce to 493457654 relations and 357451812 ideals in 7 passes Sat Sep 27 13:09:00 2025 max relations containing the same ideal: 165 Sat Sep 27 13:11:14 2025 removing 9514352 relations and 7514352 ideals in 2000000 cliques Sat Sep 27 13:11:25 2025 commencing in-memory singleton removal Sat Sep 27 13:11:29 2025 begin with 483943302 relations and 357451812 unique ideals Sat Sep 27 13:11:41 2025 reduce to 483801220 relations and 349794712 ideals in 6 passes Sat Sep 27 13:11:41 2025 max relations containing the same ideal: 164 Sat Sep 27 13:13:50 2025 removing 8563180 relations and 6563180 ideals in 2000000 cliques Sat Sep 27 13:14:01 2025 commencing in-memory singleton removal Sat Sep 27 13:14:05 2025 begin with 475238040 relations and 349794712 unique ideals Sat Sep 27 13:14:18 2025 reduce to 475115976 relations and 343108939 ideals in 7 passes Sat Sep 27 13:14:18 2025 max relations containing the same ideal: 162 Sat Sep 27 13:16:27 2025 removing 8004872 relations and 6004872 ideals in 2000000 cliques Sat Sep 27 13:16:37 2025 commencing in-memory singleton removal Sat Sep 27 13:16:41 2025 begin with 467111104 relations and 343108939 unique ideals Sat Sep 27 13:16:52 2025 reduce to 466999042 relations and 336991523 ideals in 6 passes Sat Sep 27 13:16:52 2025 max relations containing the same ideal: 159 Sat Sep 27 13:18:59 2025 removing 7628477 relations and 5628477 ideals in 2000000 cliques Sat Sep 27 13:19:10 2025 commencing in-memory singleton removal Sat Sep 27 13:19:14 2025 begin with 459370565 relations and 336991523 unique ideals Sat Sep 27 13:19:25 2025 reduce to 459265994 relations and 331258017 ideals in 6 passes Sat Sep 27 13:19:25 2025 max relations containing the same ideal: 159 Sat Sep 27 13:21:27 2025 removing 7355944 relations and 5355944 ideals in 2000000 cliques Sat Sep 27 13:21:38 2025 commencing in-memory singleton removal Sat Sep 27 13:21:42 2025 begin with 451910050 relations and 331258017 unique ideals Sat Sep 27 13:21:53 2025 reduce to 451809894 relations and 325801484 ideals in 7 passes Sat Sep 27 13:21:53 2025 max relations containing the same ideal: 158 Sat Sep 27 13:23:54 2025 removing 7144929 relations and 5144929 ideals in 2000000 cliques Sat Sep 27 13:24:04 2025 commencing in-memory singleton removal Sat Sep 27 13:24:07 2025 begin with 444664965 relations and 325801484 unique ideals Sat Sep 27 13:24:17 2025 reduce to 444569353 relations and 320560518 ideals in 6 passes Sat Sep 27 13:24:17 2025 max relations containing the same ideal: 157 Sat Sep 27 13:26:15 2025 removing 6980616 relations and 4980616 ideals in 2000000 cliques Sat Sep 27 13:26:25 2025 commencing in-memory singleton removal Sat Sep 27 13:26:29 2025 begin with 437588737 relations and 320560518 unique ideals Sat Sep 27 13:26:39 2025 reduce to 437495787 relations and 315486520 ideals in 6 passes Sat Sep 27 13:26:39 2025 max relations containing the same ideal: 156 Sat Sep 27 13:28:33 2025 removing 6839914 relations and 4839914 ideals in 2000000 cliques Sat Sep 27 13:28:42 2025 commencing in-memory singleton removal Sat Sep 27 13:28:46 2025 begin with 430655873 relations and 315486520 unique ideals Sat Sep 27 13:28:57 2025 reduce to 430565434 relations and 310555722 ideals in 7 passes Sat Sep 27 13:28:57 2025 max relations containing the same ideal: 156 Sat Sep 27 13:30:49 2025 removing 6724577 relations and 4724577 ideals in 2000000 cliques Sat Sep 27 13:30:58 2025 commencing in-memory singleton removal Sat Sep 27 13:31:01 2025 begin with 423840857 relations and 310555722 unique ideals Sat Sep 27 13:31:11 2025 reduce to 423752029 relations and 305741888 ideals in 6 passes Sat Sep 27 13:31:11 2025 max relations containing the same ideal: 154 Sat Sep 27 13:33:02 2025 removing 6626316 relations and 4626316 ideals in 2000000 cliques Sat Sep 27 13:33:11 2025 commencing in-memory singleton removal Sat Sep 27 13:33:14 2025 begin with 417125713 relations and 305741888 unique ideals Sat Sep 27 13:33:24 2025 reduce to 417038454 relations and 301027814 ideals in 6 passes Sat Sep 27 13:33:24 2025 max relations containing the same ideal: 151 Sat Sep 27 13:35:12 2025 removing 6541005 relations and 4541005 ideals in 2000000 cliques Sat Sep 27 13:35:21 2025 commencing in-memory singleton removal Sat Sep 27 13:35:25 2025 begin with 410497449 relations and 301027814 unique ideals Sat Sep 27 13:35:34 2025 reduce to 410410381 relations and 296399226 ideals in 6 passes Sat Sep 27 13:35:34 2025 max relations containing the same ideal: 149 Sat Sep 27 13:37:21 2025 removing 6467982 relations and 4467982 ideals in 2000000 cliques Sat Sep 27 13:37:30 2025 commencing in-memory singleton removal Sat Sep 27 13:37:34 2025 begin with 403942399 relations and 296399226 unique ideals Sat Sep 27 13:37:43 2025 reduce to 403855853 relations and 291844209 ideals in 6 passes Sat Sep 27 13:37:43 2025 max relations containing the same ideal: 148 Sat Sep 27 13:39:27 2025 removing 6402598 relations and 4402598 ideals in 2000000 cliques Sat Sep 27 13:39:35 2025 commencing in-memory singleton removal Sat Sep 27 13:39:39 2025 begin with 397453255 relations and 291844209 unique ideals Sat Sep 27 13:39:48 2025 reduce to 397367663 relations and 287355503 ideals in 6 passes Sat Sep 27 13:39:48 2025 max relations containing the same ideal: 146 Sat Sep 27 13:41:32 2025 removing 6344646 relations and 4344646 ideals in 2000000 cliques Sat Sep 27 13:41:40 2025 commencing in-memory singleton removal Sat Sep 27 13:41:43 2025 begin with 391023017 relations and 287355503 unique ideals Sat Sep 27 13:41:53 2025 reduce to 390937531 relations and 282924824 ideals in 7 passes Sat Sep 27 13:41:53 2025 max relations containing the same ideal: 144 Sat Sep 27 13:43:35 2025 removing 6296243 relations and 4296243 ideals in 2000000 cliques Sat Sep 27 13:43:44 2025 commencing in-memory singleton removal Sat Sep 27 13:43:47 2025 begin with 384641288 relations and 282924824 unique ideals Sat Sep 27 13:43:55 2025 reduce to 384556141 relations and 278542887 ideals in 5 passes Sat Sep 27 13:43:55 2025 max relations containing the same ideal: 143 Sat Sep 27 13:45:35 2025 removing 6247582 relations and 4247582 ideals in 2000000 cliques Sat Sep 27 13:45:43 2025 commencing in-memory singleton removal Sat Sep 27 13:45:46 2025 begin with 378308559 relations and 278542887 unique ideals Sat Sep 27 13:45:55 2025 reduce to 378223416 relations and 274209624 ideals in 6 passes Sat Sep 27 13:45:55 2025 max relations containing the same ideal: 140 Sat Sep 27 13:47:34 2025 removing 6205438 relations and 4205438 ideals in 2000000 cliques Sat Sep 27 13:47:42 2025 commencing in-memory singleton removal Sat Sep 27 13:47:45 2025 begin with 372017978 relations and 274209624 unique ideals Sat Sep 27 13:47:54 2025 reduce to 371932705 relations and 269918335 ideals in 6 passes Sat Sep 27 13:47:54 2025 max relations containing the same ideal: 139 Sat Sep 27 13:49:31 2025 removing 6167417 relations and 4167417 ideals in 2000000 cliques Sat Sep 27 13:49:39 2025 commencing in-memory singleton removal Sat Sep 27 13:49:42 2025 begin with 365765288 relations and 269918335 unique ideals Sat Sep 27 13:49:51 2025 reduce to 365678883 relations and 265663918 ideals in 6 passes Sat Sep 27 13:49:51 2025 max relations containing the same ideal: 137 Sat Sep 27 13:51:28 2025 removing 6132856 relations and 4132856 ideals in 2000000 cliques Sat Sep 27 13:51:36 2025 commencing in-memory singleton removal Sat Sep 27 13:51:39 2025 begin with 359546027 relations and 265663918 unique ideals Sat Sep 27 13:51:47 2025 reduce to 359459852 relations and 261444226 ideals in 6 passes Sat Sep 27 13:51:47 2025 max relations containing the same ideal: 135 Sat Sep 27 13:53:22 2025 removing 6102496 relations and 4102496 ideals in 2000000 cliques Sat Sep 27 13:53:30 2025 commencing in-memory singleton removal Sat Sep 27 13:53:33 2025 begin with 353357356 relations and 261444226 unique ideals Sat Sep 27 13:53:41 2025 reduce to 353270868 relations and 257254625 ideals in 6 passes Sat Sep 27 13:53:41 2025 max relations containing the same ideal: 135 Sat Sep 27 13:55:15 2025 removing 6074144 relations and 4074144 ideals in 2000000 cliques Sat Sep 27 13:55:22 2025 commencing in-memory singleton removal Sat Sep 27 13:55:25 2025 begin with 347196724 relations and 257254625 unique ideals Sat Sep 27 13:55:33 2025 reduce to 347108883 relations and 253091969 ideals in 6 passes Sat Sep 27 13:55:33 2025 max relations containing the same ideal: 134 Sat Sep 27 13:57:05 2025 removing 6046806 relations and 4046806 ideals in 2000000 cliques Sat Sep 27 13:57:12 2025 commencing in-memory singleton removal Sat Sep 27 13:57:15 2025 begin with 341062077 relations and 253091969 unique ideals Sat Sep 27 13:57:23 2025 reduce to 340973589 relations and 248955978 ideals in 6 passes Sat Sep 27 13:57:23 2025 max relations containing the same ideal: 132 Sat Sep 27 13:58:54 2025 removing 6028002 relations and 4028002 ideals in 2000000 cliques Sat Sep 27 13:59:02 2025 commencing in-memory singleton removal Sat Sep 27 13:59:04 2025 begin with 334945587 relations and 248955978 unique ideals Sat Sep 27 13:59:11 2025 reduce to 334855576 relations and 244837226 ideals in 5 passes Sat Sep 27 13:59:11 2025 max relations containing the same ideal: 129 Sat Sep 27 14:00:40 2025 removing 6003911 relations and 4003911 ideals in 2000000 cliques Sat Sep 27 14:00:47 2025 commencing in-memory singleton removal Sat Sep 27 14:00:49 2025 begin with 328851665 relations and 244837226 unique ideals Sat Sep 27 14:00:56 2025 reduce to 328761649 relations and 240742523 ideals in 5 passes Sat Sep 27 14:00:56 2025 max relations containing the same ideal: 128 Sat Sep 27 14:02:24 2025 removing 5988115 relations and 3988115 ideals in 2000000 cliques Sat Sep 27 14:02:31 2025 commencing in-memory singleton removal Sat Sep 27 14:02:34 2025 begin with 322773534 relations and 240742523 unique ideals Sat Sep 27 14:02:41 2025 reduce to 322682250 relations and 236662337 ideals in 6 passes Sat Sep 27 14:02:41 2025 max relations containing the same ideal: 125 Sat Sep 27 14:04:06 2025 removing 5972959 relations and 3972959 ideals in 2000000 cliques Sat Sep 27 14:04:13 2025 commencing in-memory singleton removal Sat Sep 27 14:04:16 2025 begin with 316709291 relations and 236662337 unique ideals Sat Sep 27 14:04:23 2025 reduce to 316616880 relations and 232596192 ideals in 6 passes Sat Sep 27 14:04:23 2025 max relations containing the same ideal: 124 Sat Sep 27 14:05:48 2025 removing 5955767 relations and 3955767 ideals in 2000000 cliques Sat Sep 27 14:05:55 2025 commencing in-memory singleton removal Sat Sep 27 14:05:57 2025 begin with 310661113 relations and 232596192 unique ideals Sat Sep 27 14:06:04 2025 reduce to 310567942 relations and 228546395 ideals in 6 passes Sat Sep 27 14:06:04 2025 max relations containing the same ideal: 122 Sat Sep 27 14:07:27 2025 removing 5941918 relations and 3941918 ideals in 2000000 cliques Sat Sep 27 14:07:33 2025 commencing in-memory singleton removal Sat Sep 27 14:07:36 2025 begin with 304626024 relations and 228546395 unique ideals Sat Sep 27 14:07:43 2025 reduce to 304531725 relations and 224509291 ideals in 6 passes Sat Sep 27 14:07:43 2025 max relations containing the same ideal: 122 Sat Sep 27 14:09:03 2025 removing 5929642 relations and 3929642 ideals in 2000000 cliques Sat Sep 27 14:09:10 2025 commencing in-memory singleton removal Sat Sep 27 14:09:12 2025 begin with 298602083 relations and 224509291 unique ideals Sat Sep 27 14:09:19 2025 reduce to 298507290 relations and 220483921 ideals in 6 passes Sat Sep 27 14:09:19 2025 max relations containing the same ideal: 119 Sat Sep 27 14:10:38 2025 removing 5919228 relations and 3919228 ideals in 2000000 cliques Sat Sep 27 14:10:45 2025 commencing in-memory singleton removal Sat Sep 27 14:10:47 2025 begin with 292588062 relations and 220483921 unique ideals Sat Sep 27 14:10:54 2025 reduce to 292490720 relations and 216466337 ideals in 6 passes Sat Sep 27 14:10:54 2025 max relations containing the same ideal: 118 Sat Sep 27 14:12:11 2025 removing 5911832 relations and 3911832 ideals in 2000000 cliques Sat Sep 27 14:12:18 2025 commencing in-memory singleton removal Sat Sep 27 14:12:20 2025 begin with 286578888 relations and 216466337 unique ideals Sat Sep 27 14:12:27 2025 reduce to 286480788 relations and 212455404 ideals in 6 passes Sat Sep 27 14:12:27 2025 max relations containing the same ideal: 117 Sat Sep 27 14:13:42 2025 removing 5905111 relations and 3905111 ideals in 2000000 cliques Sat Sep 27 14:13:49 2025 commencing in-memory singleton removal Sat Sep 27 14:13:51 2025 begin with 280575677 relations and 212455404 unique ideals Sat Sep 27 14:13:57 2025 reduce to 280475037 relations and 208448566 ideals in 6 passes Sat Sep 27 14:13:57 2025 max relations containing the same ideal: 116 Sat Sep 27 14:15:11 2025 removing 5897631 relations and 3897631 ideals in 2000000 cliques Sat Sep 27 14:15:18 2025 commencing in-memory singleton removal Sat Sep 27 14:15:20 2025 begin with 274577406 relations and 208448566 unique ideals Sat Sep 27 14:15:26 2025 reduce to 274475112 relations and 204447565 ideals in 5 passes Sat Sep 27 14:15:26 2025 max relations containing the same ideal: 115 Sat Sep 27 14:16:38 2025 removing 5895622 relations and 3895622 ideals in 2000000 cliques Sat Sep 27 14:16:44 2025 commencing in-memory singleton removal Sat Sep 27 14:16:46 2025 begin with 268579490 relations and 204447565 unique ideals Sat Sep 27 14:16:52 2025 reduce to 268476058 relations and 200447441 ideals in 6 passes Sat Sep 27 14:16:52 2025 max relations containing the same ideal: 113 Sat Sep 27 14:18:03 2025 removing 5891498 relations and 3891498 ideals in 2000000 cliques Sat Sep 27 14:18:09 2025 commencing in-memory singleton removal Sat Sep 27 14:18:12 2025 begin with 262584560 relations and 200447441 unique ideals Sat Sep 27 14:18:17 2025 reduce to 262478480 relations and 196448581 ideals in 6 passes Sat Sep 27 14:18:17 2025 max relations containing the same ideal: 111 Sat Sep 27 14:19:27 2025 removing 5887733 relations and 3887733 ideals in 2000000 cliques Sat Sep 27 14:19:33 2025 commencing in-memory singleton removal Sat Sep 27 14:19:35 2025 begin with 256590747 relations and 196448581 unique ideals Sat Sep 27 14:19:41 2025 reduce to 256482602 relations and 192451549 ideals in 6 passes Sat Sep 27 14:19:41 2025 max relations containing the same ideal: 108 Sat Sep 27 14:20:49 2025 removing 5889478 relations and 3889478 ideals in 2000000 cliques Sat Sep 27 14:20:55 2025 commencing in-memory singleton removal Sat Sep 27 14:20:57 2025 begin with 250593124 relations and 192451549 unique ideals Sat Sep 27 14:21:03 2025 reduce to 250483622 relations and 188451286 ideals in 6 passes Sat Sep 27 14:21:03 2025 max relations containing the same ideal: 106 Sat Sep 27 14:22:09 2025 removing 5889980 relations and 3889980 ideals in 2000000 cliques Sat Sep 27 14:22:15 2025 commencing in-memory singleton removal Sat Sep 27 14:22:17 2025 begin with 244593642 relations and 188451286 unique ideals Sat Sep 27 14:22:23 2025 reduce to 244481592 relations and 184447957 ideals in 6 passes Sat Sep 27 14:22:23 2025 max relations containing the same ideal: 104 Sat Sep 27 14:23:28 2025 removing 5897622 relations and 3897622 ideals in 2000000 cliques Sat Sep 27 14:23:34 2025 commencing in-memory singleton removal Sat Sep 27 14:23:36 2025 begin with 238583970 relations and 184447957 unique ideals Sat Sep 27 14:23:41 2025 reduce to 238468549 relations and 180433588 ideals in 6 passes Sat Sep 27 14:23:41 2025 max relations containing the same ideal: 103 Sat Sep 27 14:24:44 2025 removing 5898914 relations and 3898914 ideals in 2000000 cliques Sat Sep 27 14:24:50 2025 commencing in-memory singleton removal Sat Sep 27 14:24:52 2025 begin with 232569635 relations and 180433588 unique ideals Sat Sep 27 14:24:57 2025 reduce to 232452600 relations and 176416233 ideals in 6 passes Sat Sep 27 14:24:57 2025 max relations containing the same ideal: 103 Sat Sep 27 14:25:59 2025 removing 5905485 relations and 3905485 ideals in 2000000 cliques Sat Sep 27 14:26:04 2025 commencing in-memory singleton removal Sat Sep 27 14:26:06 2025 begin with 226547115 relations and 176416233 unique ideals Sat Sep 27 14:26:11 2025 reduce to 226426886 relations and 172389082 ideals in 6 passes Sat Sep 27 14:26:11 2025 max relations containing the same ideal: 101 Sat Sep 27 14:27:11 2025 removing 5910539 relations and 3910539 ideals in 2000000 cliques Sat Sep 27 14:27:17 2025 commencing in-memory singleton removal Sat Sep 27 14:27:18 2025 begin with 220516347 relations and 172389082 unique ideals Sat Sep 27 14:27:23 2025 reduce to 220393202 relations and 168353811 ideals in 6 passes Sat Sep 27 14:27:23 2025 max relations containing the same ideal: 99 Sat Sep 27 14:28:22 2025 removing 5918378 relations and 3918378 ideals in 2000000 cliques Sat Sep 27 14:28:27 2025 commencing in-memory singleton removal Sat Sep 27 14:28:29 2025 begin with 214474824 relations and 168353811 unique ideals Sat Sep 27 14:28:34 2025 reduce to 214347536 relations and 164306584 ideals in 6 passes Sat Sep 27 14:28:34 2025 max relations containing the same ideal: 97 Sat Sep 27 14:29:31 2025 removing 5930807 relations and 3930807 ideals in 2000000 cliques Sat Sep 27 14:29:36 2025 commencing in-memory singleton removal Sat Sep 27 14:29:38 2025 begin with 208416729 relations and 164306584 unique ideals Sat Sep 27 14:29:42 2025 reduce to 208286062 relations and 160243497 ideals in 5 passes Sat Sep 27 14:29:42 2025 max relations containing the same ideal: 94 Sat Sep 27 14:30:38 2025 removing 5942957 relations and 3942957 ideals in 2000000 cliques Sat Sep 27 14:30:43 2025 commencing in-memory singleton removal Sat Sep 27 14:30:45 2025 begin with 202343105 relations and 160243497 unique ideals Sat Sep 27 14:30:49 2025 reduce to 202209129 relations and 156164742 ideals in 6 passes Sat Sep 27 14:30:49 2025 max relations containing the same ideal: 93 Sat Sep 27 14:31:42 2025 removing 5957895 relations and 3957895 ideals in 2000000 cliques Sat Sep 27 14:31:47 2025 commencing in-memory singleton removal Sat Sep 27 14:31:49 2025 begin with 196251234 relations and 156164742 unique ideals Sat Sep 27 14:31:53 2025 reduce to 196112793 relations and 152066555 ideals in 6 passes Sat Sep 27 14:31:53 2025 max relations containing the same ideal: 92 Sat Sep 27 14:32:45 2025 removing 5971806 relations and 3971806 ideals in 2000000 cliques Sat Sep 27 14:32:50 2025 commencing in-memory singleton removal Sat Sep 27 14:32:51 2025 begin with 190140987 relations and 152066555 unique ideals Sat Sep 27 14:32:56 2025 reduce to 189998200 relations and 147950007 ideals in 7 passes Sat Sep 27 14:32:56 2025 max relations containing the same ideal: 90 Sat Sep 27 14:33:46 2025 removing 5989605 relations and 3989605 ideals in 2000000 cliques Sat Sep 27 14:33:50 2025 commencing in-memory singleton removal Sat Sep 27 14:33:52 2025 begin with 184008595 relations and 147950007 unique ideals Sat Sep 27 14:33:56 2025 reduce to 183862320 relations and 143812086 ideals in 7 passes Sat Sep 27 14:33:56 2025 max relations containing the same ideal: 87 Sat Sep 27 14:34:45 2025 removing 6010815 relations and 4010815 ideals in 2000000 cliques Sat Sep 27 14:34:50 2025 commencing in-memory singleton removal Sat Sep 27 14:34:51 2025 begin with 177851505 relations and 143812086 unique ideals Sat Sep 27 14:34:55 2025 reduce to 177699463 relations and 139647071 ideals in 6 passes Sat Sep 27 14:34:55 2025 max relations containing the same ideal: 87 Sat Sep 27 14:35:42 2025 removing 6036589 relations and 4036589 ideals in 2000000 cliques Sat Sep 27 14:35:46 2025 commencing in-memory singleton removal Sat Sep 27 14:35:48 2025 begin with 171662874 relations and 139647071 unique ideals Sat Sep 27 14:35:52 2025 reduce to 171505006 relations and 135450378 ideals in 6 passes Sat Sep 27 14:35:52 2025 max relations containing the same ideal: 85 Sat Sep 27 14:36:38 2025 removing 6061784 relations and 4061784 ideals in 2000000 cliques Sat Sep 27 14:36:42 2025 commencing in-memory singleton removal Sat Sep 27 14:36:43 2025 begin with 165443222 relations and 135450378 unique ideals Sat Sep 27 14:36:47 2025 reduce to 165279066 relations and 131222165 ideals in 6 passes Sat Sep 27 14:36:47 2025 max relations containing the same ideal: 82 Sat Sep 27 14:37:32 2025 removing 6086675 relations and 4086675 ideals in 2000000 cliques Sat Sep 27 14:37:36 2025 commencing in-memory singleton removal Sat Sep 27 14:37:37 2025 begin with 159192391 relations and 131222165 unique ideals Sat Sep 27 14:37:40 2025 reduce to 159022026 relations and 126962572 ideals in 6 passes Sat Sep 27 14:37:40 2025 max relations containing the same ideal: 78 Sat Sep 27 14:38:23 2025 removing 6119703 relations and 4119703 ideals in 2000000 cliques Sat Sep 27 14:38:27 2025 commencing in-memory singleton removal Sat Sep 27 14:38:29 2025 begin with 152902323 relations and 126962572 unique ideals Sat Sep 27 14:38:32 2025 reduce to 152725564 relations and 122663398 ideals in 6 passes Sat Sep 27 14:38:32 2025 max relations containing the same ideal: 75 Sat Sep 27 14:39:13 2025 removing 6155346 relations and 4155346 ideals in 2000000 cliques Sat Sep 27 14:39:17 2025 commencing in-memory singleton removal Sat Sep 27 14:39:18 2025 begin with 146570218 relations and 122663398 unique ideals Sat Sep 27 14:39:21 2025 reduce to 146384971 relations and 118320034 ideals in 6 passes Sat Sep 27 14:39:21 2025 max relations containing the same ideal: 75 Sat Sep 27 14:40:01 2025 removing 6189755 relations and 4189755 ideals in 2000000 cliques Sat Sep 27 14:40:05 2025 commencing in-memory singleton removal Sat Sep 27 14:40:06 2025 begin with 140195216 relations and 118320034 unique ideals Sat Sep 27 14:40:09 2025 reduce to 140001112 relations and 113933191 ideals in 6 passes Sat Sep 27 14:40:09 2025 max relations containing the same ideal: 74 Sat Sep 27 14:40:47 2025 removing 6231635 relations and 4231635 ideals in 2000000 cliques Sat Sep 27 14:40:51 2025 commencing in-memory singleton removal Sat Sep 27 14:40:52 2025 begin with 133769477 relations and 113933191 unique ideals Sat Sep 27 14:40:55 2025 reduce to 133565895 relations and 109494731 ideals in 6 passes Sat Sep 27 14:40:55 2025 max relations containing the same ideal: 72 Sat Sep 27 14:41:32 2025 removing 6278348 relations and 4278348 ideals in 2000000 cliques Sat Sep 27 14:41:35 2025 commencing in-memory singleton removal Sat Sep 27 14:41:36 2025 begin with 127287547 relations and 109494731 unique ideals Sat Sep 27 14:41:39 2025 reduce to 127072189 relations and 104997604 ideals in 7 passes Sat Sep 27 14:41:39 2025 max relations containing the same ideal: 68 Sat Sep 27 14:42:14 2025 removing 6325032 relations and 4325032 ideals in 2000000 cliques Sat Sep 27 14:42:17 2025 commencing in-memory singleton removal Sat Sep 27 14:42:18 2025 begin with 120747157 relations and 104997604 unique ideals Sat Sep 27 14:42:21 2025 reduce to 120518342 relations and 100439933 ideals in 8 passes Sat Sep 27 14:42:21 2025 max relations containing the same ideal: 67 Sat Sep 27 14:42:55 2025 removing 6381625 relations and 4381625 ideals in 2000000 cliques Sat Sep 27 14:42:58 2025 commencing in-memory singleton removal Sat Sep 27 14:42:59 2025 begin with 114136717 relations and 100439933 unique ideals Sat Sep 27 14:43:02 2025 reduce to 113894500 relations and 95812096 ideals in 7 passes Sat Sep 27 14:43:02 2025 max relations containing the same ideal: 65 Sat Sep 27 14:43:33 2025 removing 6443013 relations and 4443013 ideals in 2000000 cliques Sat Sep 27 14:43:36 2025 commencing in-memory singleton removal Sat Sep 27 14:43:37 2025 begin with 107451487 relations and 95812096 unique ideals Sat Sep 27 14:43:40 2025 reduce to 107194684 relations and 91107779 ideals in 6 passes Sat Sep 27 14:43:40 2025 max relations containing the same ideal: 65 Sat Sep 27 14:44:09 2025 removing 6506283 relations and 4506283 ideals in 2000000 cliques Sat Sep 27 14:44:12 2025 commencing in-memory singleton removal Sat Sep 27 14:44:13 2025 begin with 100688401 relations and 91107779 unique ideals Sat Sep 27 14:44:16 2025 reduce to 100410707 relations and 86318906 ideals in 8 passes Sat Sep 27 14:44:16 2025 max relations containing the same ideal: 63 Sat Sep 27 14:44:43 2025 removing 6579093 relations and 4579093 ideals in 2000000 cliques Sat Sep 27 14:44:46 2025 commencing in-memory singleton removal Sat Sep 27 14:44:47 2025 begin with 93831614 relations and 86318906 unique ideals Sat Sep 27 14:44:49 2025 reduce to 93530816 relations and 81433472 ideals in 7 passes Sat Sep 27 14:44:49 2025 max relations containing the same ideal: 60 Sat Sep 27 14:45:15 2025 removing 6659514 relations and 4659514 ideals in 2000000 cliques Sat Sep 27 14:45:18 2025 commencing in-memory singleton removal Sat Sep 27 14:45:19 2025 begin with 86871302 relations and 81433472 unique ideals Sat Sep 27 14:45:21 2025 reduce to 86541597 relations and 76437852 ideals in 7 passes Sat Sep 27 14:45:21 2025 max relations containing the same ideal: 55 Sat Sep 27 14:45:45 2025 removing 6749721 relations and 4749721 ideals in 2000000 cliques Sat Sep 27 14:45:48 2025 commencing in-memory singleton removal Sat Sep 27 14:45:48 2025 begin with 79791876 relations and 76437852 unique ideals Sat Sep 27 14:45:50 2025 reduce to 79426139 relations and 71314885 ideals in 7 passes Sat Sep 27 14:45:50 2025 max relations containing the same ideal: 51 Sat Sep 27 14:46:13 2025 removing 6857106 relations and 4857106 ideals in 2000000 cliques Sat Sep 27 14:46:15 2025 commencing in-memory singleton removal Sat Sep 27 14:46:16 2025 begin with 72569033 relations and 71314885 unique ideals Sat Sep 27 14:46:18 2025 reduce to 72156328 relations and 66036132 ideals in 9 passes Sat Sep 27 14:46:18 2025 max relations containing the same ideal: 50 Sat Sep 27 14:46:38 2025 removing 5953717 relations and 4297751 ideals in 1655966 cliques Sat Sep 27 14:46:40 2025 commencing in-memory singleton removal Sat Sep 27 14:46:41 2025 begin with 66202611 relations and 66036132 unique ideals Sat Sep 27 14:46:42 2025 reduce to 65851927 relations and 61380564 ideals in 7 passes Sat Sep 27 14:46:42 2025 max relations containing the same ideal: 47 Sat Sep 27 14:47:07 2025 relations with 0 large ideals: 142654 Sat Sep 27 14:47:07 2025 relations with 1 large ideals: 259347 Sat Sep 27 14:47:07 2025 relations with 2 large ideals: 2204657 Sat Sep 27 14:47:07 2025 relations with 3 large ideals: 8253639 Sat Sep 27 14:47:07 2025 relations with 4 large ideals: 16120210 Sat Sep 27 14:47:07 2025 relations with 5 large ideals: 18257674 Sat Sep 27 14:47:07 2025 relations with 6 large ideals: 12646814 Sat Sep 27 14:47:07 2025 relations with 7+ large ideals: 7966932 Sat Sep 27 14:47:07 2025 commencing 2-way merge Sat Sep 27 14:47:34 2025 reduce to 41783483 relation sets and 37312120 unique ideals Sat Sep 27 14:47:34 2025 commencing full merge Sat Sep 27 14:55:34 2025 memory use: 4594.6 MB Sat Sep 27 14:55:37 2025 found 19942744 cycles, need 19368320 Sat Sep 27 14:55:43 2025 weight of 19368320 cycles is about 2130637023 (110.01/cycle) Sat Sep 27 14:55:43 2025 distribution of cycle lengths: Sat Sep 27 14:55:43 2025 1 relations: 1114619 Sat Sep 27 14:55:43 2025 2 relations: 1309801 Sat Sep 27 14:55:43 2025 3 relations: 1480711 Sat Sep 27 14:55:43 2025 4 relations: 1539438 Sat Sep 27 14:55:43 2025 5 relations: 1586743 Sat Sep 27 14:55:43 2025 6 relations: 1587309 Sat Sep 27 14:55:43 2025 7 relations: 1557065 Sat Sep 27 14:55:43 2025 8 relations: 1478620 Sat Sep 27 14:55:43 2025 9 relations: 1371424 Sat Sep 27 14:55:43 2025 10+ relations: 6342590 Sat Sep 27 14:55:43 2025 heaviest cycle: 23 relations Sat Sep 27 14:55:54 2025 commencing cycle optimization Sat Sep 27 14:56:24 2025 start with 149271289 relations Sat Sep 27 14:59:48 2025 pruned 6112480 relations Sat Sep 27 14:59:48 2025 memory use: 4208.5 MB Sat Sep 27 14:59:48 2025 distribution of cycle lengths: Sat Sep 27 14:59:48 2025 1 relations: 1114619 Sat Sep 27 14:59:48 2025 2 relations: 1341708 Sat Sep 27 14:59:48 2025 3 relations: 1542719 Sat Sep 27 14:59:48 2025 4 relations: 1604250 Sat Sep 27 14:59:48 2025 5 relations: 1667897 Sat Sep 27 14:59:48 2025 6 relations: 1667515 Sat Sep 27 14:59:48 2025 7 relations: 1642320 Sat Sep 27 14:59:48 2025 8 relations: 1550990 Sat Sep 27 14:59:48 2025 9 relations: 1431425 Sat Sep 27 14:59:48 2025 10+ relations: 5804877 Sat Sep 27 14:59:48 2025 heaviest cycle: 23 relations Sat Sep 27 15:00:21 2025 RelProcTime: 10097 Sat Sep 27 15:00:21 2025 elapsed time 02:48:18 Sat Sep 27 15:00:22 2025 Sat Sep 27 15:00:22 2025 Sat Sep 27 15:00:22 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 15:00:22 2025 random seeds: 23465f6a 484cc589 Sat Sep 27 15:00:22 2025 MPI process 0 of 1 Sat Sep 27 15:00:22 2025 Using 46 OpenMP threads Sat Sep 27 15:00:22 2025 factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (267 digits) Sat Sep 27 15:00:23 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 15:00:23 2025 commencing number field sieve (267-digit input) Sat Sep 27 15:00:23 2025 R0: 100000000000000000000000000000000000000000000 Sat Sep 27 15:00:23 2025 R1: -1 Sat Sep 27 15:00:23 2025 A0: -1 Sat Sep 27 15:00:23 2025 A1: 0 Sat Sep 27 15:00:23 2025 A2: 0 Sat Sep 27 15:00:23 2025 A3: 120 Sat Sep 27 15:00:23 2025 A4: 0 Sat Sep 27 15:00:23 2025 A5: 0 Sat Sep 27 15:00:23 2025 A6: 1000 Sat Sep 27 15:00:23 2025 skew 1.00, size 2.799e-13, alpha 0.763, combined = 4.378e-14 rroots = 2 Sat Sep 27 15:00:23 2025 Sat Sep 27 15:00:23 2025 commencing linear algebra Sat Sep 27 15:00:23 2025 using VBITS=256 Sat Sep 27 15:00:23 2025 stopping after matrix build Sat Sep 27 15:00:23 2025 initialized process (0,0) of 1 x 1 grid Sat Sep 27 15:00:25 2025 read 19368320 cycles Sat Sep 27 15:01:03 2025 cycles contain 63606802 unique relations Sat Sep 27 15:01:55 2025 read 63606802 relations Sat Sep 27 15:02:00 2025 using 20 quadratic characters above 4294917295 Sat Sep 27 15:02:08 2025 building initial matrix Sat Sep 27 15:12:22 2025 memory use: 8125.6 MB Sat Sep 27 15:12:38 2025 read 19368320 cycles Sat Sep 27 15:12:40 2025 matrix is 19368128 x 19368320 (8386.8 MB) with weight 2406402486 (124.24/col) Sat Sep 27 15:12:40 2025 sparse part has weight 2004866657 (103.51/col) Sat Sep 27 15:15:41 2025 filtering completed in 2 passes Sat Sep 27 15:15:43 2025 matrix is 19364828 x 19365008 (8386.4 MB) with weight 2406266931 (124.26/col) Sat Sep 27 15:15:43 2025 sparse part has weight 2004797651 (103.53/col) Sat Sep 27 15:16:30 2025 BLanczosTime: 967 Sat Sep 27 15:16:30 2025 elapsed time 00:16:08 Sat Sep 27 17:40:10 2025 Sat Sep 27 17:40:10 2025 Sat Sep 27 17:40:10 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 17:40:10 2025 random seeds: 58efa7c5 5c763f14 Sat Sep 27 17:40:10 2025 MPI process 0 of 4 Sat Sep 27 17:40:10 2025 Using 15 OpenMP threads Sat Sep 27 17:40:10 2025 factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (267 digits) Sat Sep 27 17:40:11 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 17:40:11 2025 commencing number field sieve (267-digit input) Sat Sep 27 17:40:11 2025 R0: 100000000000000000000000000000000000000000000 Sat Sep 27 17:40:11 2025 R1: -1 Sat Sep 27 17:40:11 2025 A0: -1 Sat Sep 27 17:40:11 2025 A1: 0 Sat Sep 27 17:40:11 2025 A2: 0 Sat Sep 27 17:40:11 2025 A3: 120 Sat Sep 27 17:40:11 2025 A4: 0 Sat Sep 27 17:40:11 2025 A5: 0 Sat Sep 27 17:40:11 2025 A6: 1000 Sat Sep 27 17:40:11 2025 skew 1.00, size 2.799e-13, alpha 0.763, combined = 4.378e-14 rroots = 2 Sat Sep 27 17:40:11 2025 Sat Sep 27 17:40:11 2025 commencing linear algebra Sat Sep 27 17:40:11 2025 using VBITS=256 Sat Sep 27 17:40:11 2025 skipping matrix build Sat Sep 27 17:40:11 2025 initialized process (0,0) of 2 x 2 grid Sat Sep 27 17:40:20 2025 matrix starts at (0, 0) Sat Sep 27 17:40:20 2025 matrix is 9682534 x 9682475 (2451.8 MB) with weight 746629642 (77.11/col) Sat Sep 27 17:40:20 2025 sparse part has weight 545910482 (56.38/col) Sat Sep 27 17:40:20 2025 saving the first 240 matrix rows for later Sat Sep 27 17:40:22 2025 matrix includes 256 packed rows Sat Sep 27 17:40:23 2025 matrix is 9682294 x 9682475 (2191.0 MB) with weight 456649878 (47.16/col) Sat Sep 27 17:40:23 2025 sparse part has weight 419449074 (43.32/col) Sat Sep 27 17:40:23 2025 using GPU 0 (NVIDIA H200) Sat Sep 27 17:40:23 2025 selected card has CUDA arch 9.0 Sat Sep 27 17:40:49 2025 commencing Lanczos iteration Sat Sep 27 17:40:50 2025 memory use: 5046.9 MB Sat Sep 27 17:40:55 2025 linear algebra at 0.2%, ETA 0h52m Sat Sep 27 17:41:01 2025 checking every 410000 dimensions, checkpointing every 25420000 dimensions Sat Sep 27 18:26:19 2025 lanczos halted after 75872 iterations (dim = 19364588) Sat Sep 27 18:27:03 2025 recovered 37 nontrivial dependencies Sat Sep 27 18:27:04 2025 BLanczosTime: 2813 Sat Sep 27 18:27:04 2025 elapsed time 00:46:54 Sat Sep 27 18:50:05 2025 Sat Sep 27 18:50:05 2025 Sat Sep 27 18:50:05 2025 Msieve v. 1.54 (SVN Unversioned directory) Sat Sep 27 18:50:05 2025 random seeds: 2354d37e efe02827 Sat Sep 27 18:50:05 2025 MPI process 0 of 1 Sat Sep 27 18:50:05 2025 Using 32 OpenMP threads Sat Sep 27 18:50:05 2025 factoring 333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333373333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (267 digits) Sat Sep 27 18:50:06 2025 no P-1/P+1/ECM available, skipping Sat Sep 27 18:50:06 2025 commencing number field sieve (267-digit input) Sat Sep 27 18:50:06 2025 R0: 100000000000000000000000000000000000000000000 Sat Sep 27 18:50:06 2025 R1: -1 Sat Sep 27 18:50:06 2025 A0: -1 Sat Sep 27 18:50:06 2025 A1: 0 Sat Sep 27 18:50:06 2025 A2: 0 Sat Sep 27 18:50:06 2025 A3: 120 Sat Sep 27 18:50:06 2025 A4: 0 Sat Sep 27 18:50:06 2025 A5: 0 Sat Sep 27 18:50:06 2025 A6: 1000 Sat Sep 27 18:50:06 2025 skew 1.00, size 2.799e-13, alpha 0.763, combined = 4.378e-14 rroots = 2 Sat Sep 27 18:50:06 2025 Sat Sep 27 18:50:06 2025 commencing square root phase Sat Sep 27 18:50:06 2025 reading relations for dependency 1 Sat Sep 27 18:50:08 2025 read 9685286 cycles Sat Sep 27 18:50:20 2025 cycles contain 31807856 unique relations Sat Sep 27 18:52:03 2025 read 31807856 relations Sat Sep 27 18:53:29 2025 multiplying 31807856 relations Sat Sep 27 18:55:19 2025 multiply complete, coefficients have about 1137.34 million bits Sat Sep 27 18:55:21 2025 initial square root is modulo 126473 Sat Sep 27 19:00:52 2025 GCD is 1, no factor found Sat Sep 27 19:00:52 2025 reading relations for dependency 2 Sat Sep 27 19:00:54 2025 read 9682657 cycles Sat Sep 27 19:01:06 2025 cycles contain 31805938 unique relations Sat Sep 27 19:01:45 2025 read 31805938 relations Sat Sep 27 19:03:11 2025 multiplying 31805938 relations Sat Sep 27 19:05:01 2025 multiply complete, coefficients have about 1137.27 million bits Sat Sep 27 19:05:03 2025 initial square root is modulo 126323 Sat Sep 27 19:10:36 2025 GCD is 1, no factor found Sat Sep 27 19:10:36 2025 reading relations for dependency 3 Sat Sep 27 19:10:38 2025 read 9683137 cycles Sat Sep 27 19:10:51 2025 cycles contain 31811034 unique relations Sat Sep 27 19:11:29 2025 read 31811034 relations Sat Sep 27 19:13:01 2025 multiplying 31811034 relations Sat Sep 27 19:14:50 2025 multiply complete, coefficients have about 1137.44 million bits Sat Sep 27 19:14:52 2025 initial square root is modulo 126611 Sat Sep 27 19:20:22 2025 GCD is 1, no factor found Sat Sep 27 19:20:22 2025 reading relations for dependency 4 Sat Sep 27 19:20:24 2025 read 9679235 cycles Sat Sep 27 19:20:36 2025 cycles contain 31790686 unique relations Sat Sep 27 19:21:12 2025 read 31790686 relations Sat Sep 27 19:22:35 2025 multiplying 31790686 relations Sat Sep 27 19:24:25 2025 multiply complete, coefficients have about 1136.73 million bits Sat Sep 27 19:24:26 2025 initial square root is modulo 125711 Sat Sep 27 19:29:58 2025 sqrtTime: 2392 Sat Sep 27 19:29:58 2025 p129 factor: 288655245905534742860535927384731816545482664870326255222438626721849340475866598506767150103507062341872410456224311359725391277 Sat Sep 27 19:29:58 2025 p139 factor: 1154780098617781338672769965140898210646605077434800411778654822027951855218647255899893209549050204658829606255808901677859986158648281929 Sat Sep 27 19:29:58 2025 elapsed time 00:39:53
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