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Tue Dec 21 14:17:23 2021 Tue Dec 21 14:17:23 2021 Tue Dec 21 14:17:23 2021 Msieve v. 1.54 (SVN Unversioned directory) Tue Dec 21 14:17:23 2021 random seeds: dda79657 102e6e2e Tue Dec 21 14:17:23 2021 MPI process 0 of 1 Tue Dec 21 14:17:23 2021 factoring 46021617283946641982063481451278764921547004715324534502595287532353196761450890234638844353837969186965291868281905916623601737229350348812207702023476836777953244663671183704721049867684965654462659802946267711711434774000791 (227 digits) Tue Dec 21 14:17:27 2021 no P-1/P+1/ECM available, skipping Tue Dec 21 14:17:27 2021 commencing number field sieve (227-digit input) Tue Dec 21 14:17:27 2021 R0: 100000000000000000000000000000000000000000000000000000000000 Tue Dec 21 14:17:27 2021 R1: -72574551534231909331741171093173785967490646405143 Tue Dec 21 14:17:27 2021 A0: 1 Tue Dec 21 14:17:27 2021 A1: -1 Tue Dec 21 14:17:27 2021 A2: 1 Tue Dec 21 14:17:27 2021 A3: -1 Tue Dec 21 14:17:27 2021 A4: 1 Tue Dec 21 14:17:27 2021 skew 1.00, size 5.141e-24, alpha 1.694, combined = 2.608e-14 rroots = 0 Tue Dec 21 14:17:27 2021 Tue Dec 21 14:17:27 2021 commencing relation filtering Tue Dec 21 14:17:27 2021 setting target matrix density to 130.0 Tue Dec 21 14:17:27 2021 estimated available RAM is 32620.8 MB Tue Dec 21 14:17:27 2021 commencing duplicate removal, pass 1 Tue Dec 21 16:31:00 2021 skipped 11235 relations with b > 2^32 Tue Dec 21 16:31:00 2021 skipped 68 relations with composite factors Tue Dec 21 16:31:00 2021 found 26866964 hash collisions in 358457227 relations Tue Dec 21 16:31:21 2021 added 3657741 free relations Tue Dec 21 16:31:21 2021 commencing duplicate removal, pass 2 Tue Dec 21 16:35:56 2021 found 0 duplicates and 362114968 unique relations Tue Dec 21 16:35:56 2021 memory use: 1257.5 MB Tue Dec 21 16:35:56 2021 reading ideals above 220004352 Tue Dec 21 16:35:56 2021 commencing singleton removal, initial pass Tue Dec 21 18:17:21 2021 memory use: 6024.0 MB Tue Dec 21 18:17:21 2021 reading all ideals from disk Tue Dec 21 18:17:26 2021 memory use: 6733.1 MB Tue Dec 21 18:20:44 2021 commencing in-memory singleton removal Tue Dec 21 18:23:29 2021 begin with 362114968 relations and 306986304 unique ideals Tue Dec 21 18:53:01 2021 reduce to 234978563 relations and 166723096 ideals in 15 passes Tue Dec 21 18:53:01 2021 max relations containing the same ideal: 34 Tue Dec 21 18:55:28 2021 reading ideals above 720000 Tue Dec 21 18:55:28 2021 commencing singleton removal, initial pass Tue Dec 21 20:20:40 2021 memory use: 5512.0 MB Tue Dec 21 20:20:40 2021 reading all ideals from disk Tue Dec 21 20:20:47 2021 memory use: 9765.3 MB Tue Dec 21 20:25:25 2021 keeping 189776436 ideals with weight <= 200, target excess is 1191858 Tue Dec 21 20:30:14 2021 commencing in-memory singleton removal Tue Dec 21 20:33:55 2021 begin with 234978563 relations and 189776436 unique ideals Tue Dec 21 20:52:24 2021 reduce to 234977189 relations and 189775058 ideals in 5 passes Tue Dec 21 20:52:24 2021 max relations containing the same ideal: 200 Tue Dec 21 21:09:21 2021 removing 12922304 relations and 10922304 ideals in 2000000 cliques Tue Dec 21 21:09:32 2021 commencing in-memory singleton removal Tue Dec 21 21:13:11 2021 begin with 222054885 relations and 189775058 unique ideals Tue Dec 21 21:45:20 2021 reduce to 221494425 relations and 178285634 ideals in 9 passes Tue Dec 21 21:45:20 2021 max relations containing the same ideal: 200 Tue Dec 21 22:00:52 2021 removing 9742585 relations and 7742585 ideals in 2000000 cliques Tue Dec 21 22:01:03 2021 commencing in-memory singleton removal Tue Dec 21 22:04:35 2021 begin with 211751840 relations and 178285634 unique ideals Tue Dec 21 22:31:40 2021 reduce to 211395789 relations and 170183408 ideals in 8 passes Tue Dec 21 22:31:40 2021 max relations containing the same ideal: 195 Tue Dec 21 22:46:31 2021 removing 8742579 relations and 6742579 ideals in 2000000 cliques Tue Dec 21 22:46:41 2021 commencing in-memory singleton removal Tue Dec 21 22:50:03 2021 begin with 202653210 relations and 170183408 unique ideals Tue Dec 21 23:13:52 2021 reduce to 202349727 relations and 163134373 ideals in 7 passes Tue Dec 21 23:13:52 2021 max relations containing the same ideal: 192 Tue Dec 21 23:27:56 2021 removing 8197991 relations and 6197991 ideals in 2000000 cliques Tue Dec 21 23:28:06 2021 commencing in-memory singleton removal Tue Dec 21 23:31:20 2021 begin with 194151736 relations and 163134373 unique ideals Tue Dec 21 23:54:13 2021 reduce to 193872538 relations and 156654458 ideals in 7 passes Tue Dec 21 23:54:13 2021 max relations containing the same ideal: 187 Wed Dec 22 00:07:33 2021 removing 7842997 relations and 5842997 ideals in 2000000 cliques Wed Dec 22 00:07:43 2021 commencing in-memory singleton removal Wed Dec 22 00:10:31 2021 begin with 186029541 relations and 156654458 unique ideals Wed Dec 22 00:30:23 2021 reduce to 185764063 relations and 150543306 ideals in 7 passes Wed Dec 22 00:30:23 2021 max relations containing the same ideal: 183 Wed Dec 22 00:43:15 2021 removing 7595835 relations and 5595835 ideals in 2000000 cliques Wed Dec 22 00:43:24 2021 commencing in-memory singleton removal Wed Dec 22 00:46:03 2021 begin with 178168228 relations and 150543306 unique ideals Wed Dec 22 01:04:49 2021 reduce to 177909710 relations and 144686290 ideals in 7 passes Wed Dec 22 01:04:49 2021 max relations containing the same ideal: 177 Wed Dec 22 01:16:43 2021 removing 7413712 relations and 5413712 ideals in 2000000 cliques Wed Dec 22 01:16:52 2021 commencing in-memory singleton removal Wed Dec 22 01:19:22 2021 begin with 170495998 relations and 144686290 unique ideals Wed Dec 22 01:37:17 2021 reduce to 170241165 relations and 139015064 ideals in 7 passes Wed Dec 22 01:37:17 2021 max relations containing the same ideal: 173 Wed Dec 22 01:48:33 2021 removing 7277813 relations and 5277813 ideals in 2000000 cliques Wed Dec 22 01:48:41 2021 commencing in-memory singleton removal Wed Dec 22 01:51:04 2021 begin with 162963352 relations and 139015064 unique ideals Wed Dec 22 02:10:40 2021 reduce to 162709254 relations and 133480355 ideals in 8 passes Wed Dec 22 02:10:40 2021 max relations containing the same ideal: 169 Wed Dec 22 02:21:11 2021 removing 7168455 relations and 5168455 ideals in 2000000 cliques Wed Dec 22 02:21:19 2021 commencing in-memory singleton removal Wed Dec 22 02:23:33 2021 begin with 155540799 relations and 133480355 unique ideals Wed Dec 22 02:39:31 2021 reduce to 155285632 relations and 128053846 ideals in 7 passes Wed Dec 22 02:39:31 2021 max relations containing the same ideal: 163 Wed Dec 22 02:49:44 2021 removing 7093631 relations and 5093631 ideals in 2000000 cliques Wed Dec 22 02:49:51 2021 commencing in-memory singleton removal Wed Dec 22 02:51:58 2021 begin with 148192001 relations and 128053846 unique ideals Wed Dec 22 03:04:55 2021 reduce to 147932191 relations and 122697412 ideals in 6 passes Wed Dec 22 03:04:55 2021 max relations containing the same ideal: 157 Wed Dec 22 03:14:32 2021 removing 7032739 relations and 5032739 ideals in 2000000 cliques Wed Dec 22 03:14:40 2021 commencing in-memory singleton removal Wed Dec 22 03:16:41 2021 begin with 140899452 relations and 122697412 unique ideals Wed Dec 22 03:31:00 2021 reduce to 140632871 relations and 117394825 ideals in 7 passes Wed Dec 22 03:31:00 2021 max relations containing the same ideal: 152 Wed Dec 22 03:40:07 2021 removing 6993512 relations and 4993513 ideals in 2000000 cliques Wed Dec 22 03:40:15 2021 commencing in-memory singleton removal Wed Dec 22 03:42:06 2021 begin with 133639359 relations and 117394825 unique ideals Wed Dec 22 03:55:19 2021 reduce to 133365382 relations and 112123714 ideals in 7 passes Wed Dec 22 03:55:19 2021 max relations containing the same ideal: 149 Wed Dec 22 04:03:53 2021 removing 6967751 relations and 4967751 ideals in 2000000 cliques Wed Dec 22 04:04:00 2021 commencing in-memory singleton removal Wed Dec 22 04:05:46 2021 begin with 126397631 relations and 112123714 unique ideals Wed Dec 22 04:16:41 2021 reduce to 126111804 relations and 106866228 ideals in 6 passes Wed Dec 22 04:16:41 2021 max relations containing the same ideal: 144 Wed Dec 22 04:24:56 2021 removing 6951238 relations and 4951238 ideals in 2000000 cliques Wed Dec 22 04:25:03 2021 commencing in-memory singleton removal Wed Dec 22 04:26:42 2021 begin with 119160566 relations and 106866228 unique ideals Wed Dec 22 04:38:33 2021 reduce to 118862879 relations and 101613039 ideals in 7 passes Wed Dec 22 04:38:33 2021 max relations containing the same ideal: 139 Wed Dec 22 04:46:18 2021 removing 6952468 relations and 4952468 ideals in 2000000 cliques Wed Dec 22 04:46:25 2021 commencing in-memory singleton removal Wed Dec 22 04:47:58 2021 begin with 111910411 relations and 101613039 unique ideals Wed Dec 22 04:59:03 2021 reduce to 111594981 relations and 96340281 ideals in 7 passes Wed Dec 22 04:59:03 2021 max relations containing the same ideal: 131 Wed Dec 22 05:06:20 2021 removing 6968209 relations and 4968209 ideals in 2000000 cliques Wed Dec 22 05:06:26 2021 commencing in-memory singleton removal Wed Dec 22 05:07:51 2021 begin with 104626772 relations and 96340281 unique ideals Wed Dec 22 05:17:59 2021 reduce to 104292574 relations and 91032496 ideals in 7 passes Wed Dec 22 05:17:59 2021 max relations containing the same ideal: 128 Wed Dec 22 05:24:44 2021 removing 6996593 relations and 4996593 ideals in 2000000 cliques Wed Dec 22 05:24:50 2021 commencing in-memory singleton removal Wed Dec 22 05:26:08 2021 begin with 97295981 relations and 91032496 unique ideals Wed Dec 22 05:35:23 2021 reduce to 96936194 relations and 85670037 ideals in 7 passes Wed Dec 22 05:35:23 2021 max relations containing the same ideal: 120 Wed Dec 22 05:41:39 2021 removing 7038578 relations and 5038578 ideals in 2000000 cliques Wed Dec 22 05:41:45 2021 commencing in-memory singleton removal Wed Dec 22 05:42:55 2021 begin with 89897616 relations and 85670037 unique ideals Wed Dec 22 05:51:20 2021 reduce to 89504065 relations and 80230745 ideals in 7 passes Wed Dec 22 05:51:20 2021 max relations containing the same ideal: 115 Wed Dec 22 05:57:04 2021 removing 7104972 relations and 5104972 ideals in 2000000 cliques Wed Dec 22 05:57:10 2021 commencing in-memory singleton removal Wed Dec 22 05:58:14 2021 begin with 82399093 relations and 80230745 unique ideals Wed Dec 22 06:06:56 2021 reduce to 81964605 relations and 74682793 ideals in 8 passes Wed Dec 22 06:06:56 2021 max relations containing the same ideal: 107 Wed Dec 22 06:12:10 2021 removing 7187227 relations and 5187227 ideals in 2000000 cliques Wed Dec 22 06:12:16 2021 commencing in-memory singleton removal Wed Dec 22 06:13:11 2021 begin with 74777378 relations and 74682793 unique ideals Wed Dec 22 06:20:46 2021 reduce to 74289051 relations and 68996962 ideals in 8 passes Wed Dec 22 06:20:46 2021 max relations containing the same ideal: 102 Wed Dec 22 06:25:24 2021 removing 7305082 relations and 5305082 ideals in 2000000 cliques Wed Dec 22 06:25:30 2021 commencing in-memory singleton removal Wed Dec 22 06:26:18 2021 begin with 66983969 relations and 68996962 unique ideals Wed Dec 22 06:32:50 2021 reduce to 66422161 relations and 63117180 ideals in 8 passes Wed Dec 22 06:32:50 2021 max relations containing the same ideal: 94 Wed Dec 22 06:36:55 2021 removing 7214673 relations and 5292248 ideals in 1922425 cliques Wed Dec 22 06:37:00 2021 commencing in-memory singleton removal Wed Dec 22 06:37:41 2021 begin with 59207488 relations and 63117180 unique ideals Wed Dec 22 06:43:54 2021 reduce to 58587253 relations and 57189503 ideals in 9 passes Wed Dec 22 06:43:54 2021 max relations containing the same ideal: 87 Wed Dec 22 06:47:28 2021 removing 126479 relations and 111285 ideals in 15194 cliques Wed Dec 22 06:47:30 2021 commencing in-memory singleton removal Wed Dec 22 06:48:09 2021 begin with 58460774 relations and 57189503 unique ideals Wed Dec 22 06:50:50 2021 reduce to 58460617 relations and 57078061 ideals in 4 passes Wed Dec 22 06:50:50 2021 max relations containing the same ideal: 86 Wed Dec 22 06:51:57 2021 relations with 0 large ideals: 91869 Wed Dec 22 06:51:57 2021 relations with 1 large ideals: 16324 Wed Dec 22 06:51:57 2021 relations with 2 large ideals: 198218 Wed Dec 22 06:51:57 2021 relations with 3 large ideals: 1346320 Wed Dec 22 06:51:57 2021 relations with 4 large ideals: 5079664 Wed Dec 22 06:51:57 2021 relations with 5 large ideals: 13225537 Wed Dec 22 06:51:57 2021 relations with 6 large ideals: 15218959 Wed Dec 22 06:51:57 2021 relations with 7+ large ideals: 23283726 Wed Dec 22 06:51:57 2021 commencing 2-way merge Wed Dec 22 06:56:51 2021 reduce to 37499223 relation sets and 36116667 unique ideals Wed Dec 22 06:56:51 2021 commencing full merge Wed Dec 22 08:21:45 2021 memory use: 1677.5 MB Wed Dec 22 08:21:46 2021 found 181949 cycles, need 8141058 Wed Dec 22 08:21:46 2021 too few cycles, matrix probably cannot build Wed Dec 22 08:21:46 2021 filtering wants 1000000 more relations Wed Dec 22 08:21:46 2021 elapsed time 18:04:23 Wed Dec 22 14:17:09 2021 Wed Dec 22 14:17:09 2021 Wed Dec 22 14:17:09 2021 Msieve v. 1.54 (SVN unknown) Wed Dec 22 14:17:09 2021 random seeds: cd1873d5 0f48d651 Wed Dec 22 14:17:09 2021 factoring 46021617283946641982063481451278764921547004715324534502595287532353196761450890234638844353837969186965291868281905916623601737229350348812207702023476836777953244663671183704721049867684965654462659802946267711711434774000791 (227 digits) Wed Dec 22 14:17:10 2021 no P-1/P+1/ECM available, skipping Wed Dec 22 14:17:10 2021 commencing number field sieve (227-digit input) Wed Dec 22 14:17:10 2021 R0: 100000000000000000000000000000000000000000000000000000000000 Wed Dec 22 14:17:10 2021 R1: -72574551534231909331741171093173785967490646405143 Wed Dec 22 14:17:10 2021 A0: 1 Wed Dec 22 14:17:10 2021 A1: -1 Wed Dec 22 14:17:10 2021 A2: 1 Wed Dec 22 14:17:10 2021 A3: -1 Wed Dec 22 14:17:10 2021 A4: 1 Wed Dec 22 14:17:10 2021 skew 1.00, size 5.141e-24, alpha 1.694, combined = 2.608e-14 rroots = 0 Wed Dec 22 14:17:10 2021 Wed Dec 22 14:17:10 2021 commencing relation filtering Wed Dec 22 14:17:10 2021 setting target matrix density to 120.0 Wed Dec 22 14:17:10 2021 estimated available RAM is 515600.8 MB Wed Dec 22 14:17:10 2021 commencing duplicate removal, pass 1 Wed Dec 22 14:46:09 2021 skipped 11235 relations with b > 2^32 Wed Dec 22 14:46:09 2021 skipped 68 relations with composite factors Wed Dec 22 14:46:09 2021 found 27386180 hash collisions in 362114968 relations Wed Dec 22 14:46:09 2021 commencing duplicate removal, pass 2 Wed Dec 22 14:47:31 2021 found 0 duplicates and 362114968 unique relations Wed Dec 22 14:47:31 2021 memory use: 1321.5 MB Wed Dec 22 14:47:31 2021 reading ideals above 720000 Wed Dec 22 14:47:31 2021 commencing singleton removal, initial pass Wed Dec 22 15:16:37 2021 memory use: 11024.0 MB Wed Dec 22 15:16:38 2021 reading all ideals from disk Wed Dec 22 15:16:40 2021 memory use: 15097.7 MB Wed Dec 22 15:16:53 2021 keeping 329402496 ideals with weight <= 200, target excess is 1829007 Wed Dec 22 15:17:14 2021 commencing in-memory singleton removal Wed Dec 22 15:17:25 2021 begin with 362114968 relations and 329402496 unique ideals Wed Dec 22 15:19:31 2021 reduce to 234977189 relations and 189137909 ideals in 15 passes Wed Dec 22 15:19:31 2021 max relations containing the same ideal: 160 Wed Dec 22 15:20:22 2021 removing 12908487 relations and 10908487 ideals in 2000000 cliques Wed Dec 22 15:20:26 2021 commencing in-memory singleton removal Wed Dec 22 15:20:33 2021 begin with 222068702 relations and 189137909 unique ideals Wed Dec 22 15:21:32 2021 reduce to 221507276 relations and 177661312 ideals in 8 passes Wed Dec 22 15:21:32 2021 max relations containing the same ideal: 155 Wed Dec 22 15:22:20 2021 removing 9731361 relations and 7731361 ideals in 2000000 cliques Wed Dec 22 15:22:25 2021 commencing in-memory singleton removal Wed Dec 22 15:22:31 2021 begin with 211775915 relations and 177661312 unique ideals Wed Dec 22 15:23:27 2021 reduce to 211419173 relations and 169569587 ideals in 8 passes Wed Dec 22 15:23:27 2021 max relations containing the same ideal: 154 Wed Dec 22 15:24:14 2021 removing 8732509 relations and 6732509 ideals in 2000000 cliques Wed Dec 22 15:24:17 2021 commencing in-memory singleton removal Wed Dec 22 15:24:23 2021 begin with 202686664 relations and 169569587 unique ideals Wed Dec 22 15:25:11 2021 reduce to 202382372 relations and 162529809 ideals in 7 passes Wed Dec 22 15:25:11 2021 max relations containing the same ideal: 149 Wed Dec 22 15:25:55 2021 removing 8189194 relations and 6189194 ideals in 2000000 cliques Wed Dec 22 15:25:59 2021 commencing in-memory singleton removal Wed Dec 22 15:26:04 2021 begin with 194193178 relations and 162529809 unique ideals Wed Dec 22 15:26:50 2021 reduce to 193912855 relations and 156057569 ideals in 7 passes Wed Dec 22 15:26:50 2021 max relations containing the same ideal: 144 Wed Dec 22 15:27:32 2021 removing 7833952 relations and 5833952 ideals in 2000000 cliques Wed Dec 22 15:27:36 2021 commencing in-memory singleton removal Wed Dec 22 15:27:41 2021 begin with 186078903 relations and 156057569 unique ideals Wed Dec 22 15:28:24 2021 reduce to 185812886 relations and 149954976 ideals in 7 passes Wed Dec 22 15:28:24 2021 max relations containing the same ideal: 140 Wed Dec 22 15:29:05 2021 removing 7588300 relations and 5588300 ideals in 2000000 cliques Wed Dec 22 15:29:09 2021 commencing in-memory singleton removal Wed Dec 22 15:29:14 2021 begin with 178224586 relations and 149954976 unique ideals Wed Dec 22 15:29:55 2021 reduce to 177964604 relations and 144104041 ideals in 7 passes Wed Dec 22 15:29:55 2021 max relations containing the same ideal: 136 Wed Dec 22 15:30:35 2021 removing 7408042 relations and 5408042 ideals in 2000000 cliques Wed Dec 22 15:30:38 2021 commencing in-memory singleton removal Wed Dec 22 15:30:43 2021 begin with 170556562 relations and 144104041 unique ideals Wed Dec 22 15:31:22 2021 reduce to 170301649 relations and 138438362 ideals in 7 passes Wed Dec 22 15:31:22 2021 max relations containing the same ideal: 132 Wed Dec 22 15:32:00 2021 removing 7271666 relations and 5271666 ideals in 2000000 cliques Wed Dec 22 15:32:03 2021 commencing in-memory singleton removal Wed Dec 22 15:32:08 2021 begin with 163029983 relations and 138438362 unique ideals Wed Dec 22 15:32:40 2021 reduce to 162775602 relations and 132909501 ideals in 6 passes Wed Dec 22 15:32:40 2021 max relations containing the same ideal: 128 Wed Dec 22 15:33:17 2021 removing 7163751 relations and 5163751 ideals in 2000000 cliques Wed Dec 22 15:33:20 2021 commencing in-memory singleton removal Wed Dec 22 15:33:24 2021 begin with 155611851 relations and 132909501 unique ideals Wed Dec 22 15:33:55 2021 reduce to 155356483 relations and 127487485 ideals in 6 passes Wed Dec 22 15:33:55 2021 max relations containing the same ideal: 124 Wed Dec 22 15:34:30 2021 removing 7087832 relations and 5087832 ideals in 2000000 cliques Wed Dec 22 15:34:33 2021 commencing in-memory singleton removal Wed Dec 22 15:34:37 2021 begin with 148268651 relations and 127487485 unique ideals Wed Dec 22 15:35:06 2021 reduce to 148007480 relations and 122135435 ideals in 6 passes Wed Dec 22 15:35:06 2021 max relations containing the same ideal: 119 Wed Dec 22 15:35:39 2021 removing 7027696 relations and 5027696 ideals in 2000000 cliques Wed Dec 22 15:35:42 2021 commencing in-memory singleton removal Wed Dec 22 15:35:46 2021 begin with 140979784 relations and 122135435 unique ideals Wed Dec 22 15:36:19 2021 reduce to 140712334 relations and 116837014 ideals in 7 passes Wed Dec 22 15:36:19 2021 max relations containing the same ideal: 114 Wed Dec 22 15:36:51 2021 removing 6987452 relations and 4987453 ideals in 2000000 cliques Wed Dec 22 15:36:53 2021 commencing in-memory singleton removal Wed Dec 22 15:36:57 2021 begin with 133724882 relations and 116837014 unique ideals Wed Dec 22 15:37:28 2021 reduce to 133450388 relations and 111571416 ideals in 7 passes Wed Dec 22 15:37:28 2021 max relations containing the same ideal: 111 Wed Dec 22 15:37:58 2021 removing 6965309 relations and 4965309 ideals in 2000000 cliques Wed Dec 22 15:38:01 2021 commencing in-memory singleton removal Wed Dec 22 15:38:04 2021 begin with 126485079 relations and 111571416 unique ideals Wed Dec 22 15:38:29 2021 reduce to 126198414 relations and 106315534 ideals in 6 passes Wed Dec 22 15:38:29 2021 max relations containing the same ideal: 109 Wed Dec 22 15:38:58 2021 removing 6948216 relations and 4948216 ideals in 2000000 cliques Wed Dec 22 15:39:01 2021 commencing in-memory singleton removal Wed Dec 22 15:39:04 2021 begin with 119250198 relations and 106315534 unique ideals Wed Dec 22 15:39:31 2021 reduce to 118951965 relations and 101064762 ideals in 7 passes Wed Dec 22 15:39:31 2021 max relations containing the same ideal: 104 Wed Dec 22 15:39:58 2021 removing 6950893 relations and 4950893 ideals in 2000000 cliques Wed Dec 22 15:40:01 2021 commencing in-memory singleton removal Wed Dec 22 15:40:04 2021 begin with 112001072 relations and 101064762 unique ideals Wed Dec 22 15:40:29 2021 reduce to 111684438 relations and 95792283 ideals in 7 passes Wed Dec 22 15:40:29 2021 max relations containing the same ideal: 101 Wed Dec 22 15:40:55 2021 removing 6965281 relations and 4965281 ideals in 2000000 cliques Wed Dec 22 15:40:58 2021 commencing in-memory singleton removal Wed Dec 22 15:41:00 2021 begin with 104719157 relations and 95792283 unique ideals Wed Dec 22 15:41:24 2021 reduce to 104383872 relations and 90486209 ideals in 7 passes Wed Dec 22 15:41:24 2021 max relations containing the same ideal: 97 Wed Dec 22 15:41:49 2021 removing 6992738 relations and 4992738 ideals in 2000000 cliques Wed Dec 22 15:41:51 2021 commencing in-memory singleton removal Wed Dec 22 15:41:54 2021 begin with 97391134 relations and 90486209 unique ideals Wed Dec 22 15:42:16 2021 reduce to 97027935 relations and 85124292 ideals in 7 passes Wed Dec 22 15:42:16 2021 max relations containing the same ideal: 90 Wed Dec 22 15:42:39 2021 removing 7037452 relations and 5037452 ideals in 2000000 cliques Wed Dec 22 15:42:41 2021 commencing in-memory singleton removal Wed Dec 22 15:42:43 2021 begin with 89990483 relations and 85124292 unique ideals Wed Dec 22 15:43:07 2021 reduce to 89594408 relations and 79683613 ideals in 8 passes Wed Dec 22 15:43:07 2021 max relations containing the same ideal: 85 Wed Dec 22 15:43:28 2021 removing 7103244 relations and 5103244 ideals in 2000000 cliques Wed Dec 22 15:43:30 2021 commencing in-memory singleton removal Wed Dec 22 15:43:32 2021 begin with 82491164 relations and 79683613 unique ideals Wed Dec 22 15:43:51 2021 reduce to 82053492 relations and 74134191 ideals in 7 passes Wed Dec 22 15:43:51 2021 max relations containing the same ideal: 81 Wed Dec 22 15:44:11 2021 removing 7188341 relations and 5188341 ideals in 2000000 cliques Wed Dec 22 15:44:13 2021 commencing in-memory singleton removal Wed Dec 22 15:44:15 2021 begin with 74865151 relations and 74134191 unique ideals Wed Dec 22 15:44:32 2021 reduce to 74373773 relations and 68444277 ideals in 7 passes Wed Dec 22 15:44:32 2021 max relations containing the same ideal: 78 Wed Dec 22 15:44:50 2021 removing 7306290 relations and 5306290 ideals in 2000000 cliques Wed Dec 22 15:44:52 2021 commencing in-memory singleton removal Wed Dec 22 15:44:54 2021 begin with 67067483 relations and 68444277 unique ideals Wed Dec 22 15:45:09 2021 reduce to 66503000 relations and 62560528 ideals in 7 passes Wed Dec 22 15:45:09 2021 max relations containing the same ideal: 74 Wed Dec 22 15:45:26 2021 removing 6906511 relations and 5085688 ideals in 1820823 cliques Wed Dec 22 15:45:28 2021 commencing in-memory singleton removal Wed Dec 22 15:45:29 2021 begin with 59596489 relations and 62560528 unique ideals Wed Dec 22 15:45:44 2021 reduce to 59027492 relations and 56892536 ideals in 8 passes Wed Dec 22 15:45:44 2021 max relations containing the same ideal: 67 Wed Dec 22 15:45:59 2021 removing 110872 relations and 97565 ideals in 13307 cliques Wed Dec 22 15:46:00 2021 commencing in-memory singleton removal Wed Dec 22 15:46:02 2021 begin with 58916620 relations and 56892536 unique ideals Wed Dec 22 15:46:09 2021 reduce to 58916490 relations and 56794840 ideals in 4 passes Wed Dec 22 15:46:09 2021 max relations containing the same ideal: 67 Wed Dec 22 15:46:16 2021 relations with 0 large ideals: 135258 Wed Dec 22 15:46:16 2021 relations with 1 large ideals: 43867 Wed Dec 22 15:46:16 2021 relations with 2 large ideals: 505890 Wed Dec 22 15:46:16 2021 relations with 3 large ideals: 2761425 Wed Dec 22 15:46:16 2021 relations with 4 large ideals: 8289667 Wed Dec 22 15:46:16 2021 relations with 5 large ideals: 16261778 Wed Dec 22 15:46:16 2021 relations with 6 large ideals: 15236536 Wed Dec 22 15:46:16 2021 relations with 7+ large ideals: 15682069 Wed Dec 22 15:46:16 2021 commencing 2-way merge Wed Dec 22 15:46:37 2021 reduce to 37744106 relation sets and 35622456 unique ideals Wed Dec 22 15:46:37 2021 commencing full merge Wed Dec 22 15:55:53 2021 memory use: 4404.1 MB Wed Dec 22 15:55:55 2021 found 16600767 cycles, need 16556656 Wed Dec 22 15:55:59 2021 weight of 16556656 cycles is about 1987440801 (120.04/cycle) Wed Dec 22 15:55:59 2021 distribution of cycle lengths: Wed Dec 22 15:55:59 2021 1 relations: 958063 Wed Dec 22 15:55:59 2021 2 relations: 1034136 Wed Dec 22 15:55:59 2021 3 relations: 1074835 Wed Dec 22 15:55:59 2021 4 relations: 1077116 Wed Dec 22 15:55:59 2021 5 relations: 1083809 Wed Dec 22 15:55:59 2021 6 relations: 1072687 Wed Dec 22 15:55:59 2021 7 relations: 1053380 Wed Dec 22 15:55:59 2021 8 relations: 1021099 Wed Dec 22 15:55:59 2021 9 relations: 977579 Wed Dec 22 15:55:59 2021 10+ relations: 7203952 Wed Dec 22 15:55:59 2021 heaviest cycle: 28 relations Wed Dec 22 15:56:01 2021 commencing cycle optimization Wed Dec 22 15:56:26 2021 start with 155115070 relations Wed Dec 22 16:00:32 2021 pruned 7393873 relations Wed Dec 22 16:00:32 2021 memory use: 3999.1 MB Wed Dec 22 16:00:32 2021 distribution of cycle lengths: Wed Dec 22 16:00:32 2021 1 relations: 958063 Wed Dec 22 16:00:32 2021 2 relations: 1054867 Wed Dec 22 16:00:32 2021 3 relations: 1117662 Wed Dec 22 16:00:32 2021 4 relations: 1121154 Wed Dec 22 16:00:32 2021 5 relations: 1138787 Wed Dec 22 16:00:32 2021 6 relations: 1125523 Wed Dec 22 16:00:32 2021 7 relations: 1111186 Wed Dec 22 16:00:32 2021 8 relations: 1075222 Wed Dec 22 16:00:32 2021 9 relations: 1030137 Wed Dec 22 16:00:32 2021 10+ relations: 6824055 Wed Dec 22 16:00:32 2021 heaviest cycle: 28 relations Wed Dec 22 16:00:50 2021 RelProcTime: 6220 Wed Dec 22 16:00:50 2021 Wed Dec 22 16:00:50 2021 commencing linear algebra Wed Dec 22 16:00:50 2021 using VBITS=384 Wed Dec 22 16:00:50 2021 read 16556656 cycles Wed Dec 22 16:01:16 2021 cycles contain 57664888 unique relations Wed Dec 22 16:04:36 2021 read 57664888 relations Wed Dec 22 16:05:53 2021 using 20 quadratic characters above 4294917295 Wed Dec 22 16:08:31 2021 building initial matrix Wed Dec 22 16:15:37 2021 memory use: 7172.6 MB Wed Dec 22 16:15:42 2021 read 16556656 cycles Wed Dec 22 16:15:44 2021 matrix is 16556479 x 16556656 (7792.1 MB) with weight 2222896489 (134.26/col) Wed Dec 22 16:15:44 2021 sparse part has weight 1860522177 (112.37/col) Wed Dec 22 16:17:59 2021 filtering completed in 2 passes Wed Dec 22 16:18:02 2021 matrix is 16556066 x 16556212 (7792.0 MB) with weight 2222882272 (134.26/col) Wed Dec 22 16:18:02 2021 sparse part has weight 1860517464 (112.38/col) Wed Dec 22 16:18:28 2021 matrix starts at (0, 0) Wed Dec 22 16:18:30 2021 matrix is 16556066 x 16556212 (7792.0 MB) with weight 2222882272 (134.26/col) Wed Dec 22 16:18:30 2021 sparse part has weight 1860517464 (112.38/col) Wed Dec 22 16:18:30 2021 saving the first 368 matrix rows for later Wed Dec 22 16:18:32 2021 matrix includes 384 packed rows Wed Dec 22 16:18:38 2021 matrix is 16555698 x 16556212 (7265.0 MB) with weight 1654078355 (99.91/col) Wed Dec 22 16:18:38 2021 sparse part has weight 1573359549 (95.03/col) Wed Dec 22 16:18:38 2021 using GPU 1 (Tesla V100-PCIE-32GB) Wed Dec 22 16:18:38 2021 selected card has CUDA arch 7.0 Wed Dec 22 16:19:39 2021 commencing Lanczos iteration Wed Dec 22 16:19:40 2021 memory use: 18193.2 MB Wed Dec 22 16:19:47 2021 linear algebra at 0.0%, ETA 11h59m Wed Dec 22 16:19:51 2021 checkpointing every 1520000 dimensions Thu Dec 23 03:17:06 2021 lanczos halted after 43202 iterations (dim = 16555695) Thu Dec 23 03:18:21 2021 recovered 35 nontrivial dependencies Thu Dec 23 03:18:21 2021 BLanczosTime: 40651 Thu Dec 23 03:18:21 2021 Thu Dec 23 03:18:21 2021 commencing square root phase Thu Dec 23 03:18:21 2021 handling dependencies 1 to 64 Thu Dec 23 03:18:21 2021 reading relations for dependency 1 Thu Dec 23 03:18:23 2021 read 8278311 cycles Thu Dec 23 03:18:35 2021 cycles contain 28827492 unique relations Thu Dec 23 03:20:27 2021 read 28827492 relations Thu Dec 23 03:21:49 2021 multiplying 28827492 relations Thu Dec 23 03:28:32 2021 multiply complete, coefficients have about 771.07 million bits Thu Dec 23 03:28:33 2021 initial square root is modulo 8272613 Thu Dec 23 03:37:02 2021 sqrtTime: 1121 Thu Dec 23 03:37:02 2021 p84 factor: 457341614808199407277408623082448399936231940279243725217432868463853074635799086321 Thu Dec 23 03:37:02 2021 p144 factor: 100628536292826216761040535915800646376750615853133244136249054899548945855289145780251692295159932480232598153444153064150445506794541204632071 Thu Dec 23 03:37:02 2021 elapsed time 13:19:53
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