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Wed Feb 24 07:10:30 2021 Wed Feb 24 07:10:30 2021 Wed Feb 24 07:10:30 2021 Msieve v. 1.53 (SVN 988M) Wed Feb 24 07:10:30 2021 random seeds: cbc8dd5a e8512cd6 Wed Feb 24 07:10:30 2021 factoring 7315028990431812000209736078708968301538151917172863664618862138009628689241425344788151485609450718533276664067484786861406313758000357826148099726029367892153762722738157921123939594585615753995677282419844771747418442524144386471684208711540319 (247 digits) Wed Feb 24 07:10:31 2021 searching for 15-digit factors Wed Feb 24 07:10:32 2021 commencing number field sieve (247-digit input) Wed Feb 24 07:10:32 2021 R0: 10000000000000000000000000000000000000000000 Wed Feb 24 07:10:32 2021 R1: -107752636643058178097424660240453423951129 Wed Feb 24 07:10:32 2021 A0: 1 Wed Feb 24 07:10:32 2021 A1: 1 Wed Feb 24 07:10:32 2021 A2: 1 Wed Feb 24 07:10:32 2021 A3: 1 Wed Feb 24 07:10:32 2021 A4: 1 Wed Feb 24 07:10:32 2021 A5: 1 Wed Feb 24 07:10:32 2021 A6: 1 Wed Feb 24 07:10:32 2021 skew 1.00, size 1.007e-12, alpha 2.428, combined = 1.162e-13 rroots = 0 Wed Feb 24 07:10:32 2021 Wed Feb 24 07:10:32 2021 commencing relation filtering Wed Feb 24 07:10:32 2021 setting target matrix density to 130.0 Wed Feb 24 07:10:32 2021 estimated available RAM is 32768.0 MB Wed Feb 24 07:10:32 2021 commencing duplicate removal, pass 1 Wed Feb 24 07:23:27 2021 error -5 reading relation 132183458 Wed Feb 24 07:23:27 2021 error -1 reading relation 132308240 Wed Feb 24 07:23:28 2021 error -1 reading relation 132403169 Wed Feb 24 07:24:05 2021 error -15 reading relation 138601601 Wed Feb 24 07:24:38 2021 error -15 reading relation 144313279 Wed Feb 24 07:24:38 2021 error -1 reading relation 144314379 Wed Feb 24 07:24:39 2021 error -1 reading relation 144355927 Wed Feb 24 07:24:39 2021 error -1 reading relation 144357045 Wed Feb 24 07:24:39 2021 error -1 reading relation 144474807 Wed Feb 24 07:25:47 2021 error -15 reading relation 156021236 Wed Feb 24 07:27:35 2021 error -5 reading relation 174165794 Wed Feb 24 07:29:03 2021 error -6 reading relation 188974730 Wed Feb 24 07:29:24 2021 error -15 reading relation 192573866 Wed Feb 24 07:29:51 2021 error -15 reading relation 197084901 Wed Feb 24 07:30:14 2021 skipped 635 relations with b > 2^32 Wed Feb 24 07:30:14 2021 skipped 8 relations with composite factors Wed Feb 24 07:30:14 2021 found 8857386 hash collisions in 201011263 relations Wed Feb 24 07:30:19 2021 added 2438534 free relations Wed Feb 24 07:30:19 2021 commencing duplicate removal, pass 2 Wed Feb 24 07:31:04 2021 found 0 duplicates and 203449797 unique relations Wed Feb 24 07:31:04 2021 memory use: 522.4 MB Wed Feb 24 07:31:04 2021 reading ideals above 164691968 Wed Feb 24 07:31:04 2021 commencing singleton removal, initial pass Wed Feb 24 07:45:26 2021 memory use: 3012.0 MB Wed Feb 24 07:45:26 2021 reading all ideals from disk Wed Feb 24 07:45:28 2021 memory use: 3563.1 MB Wed Feb 24 07:45:35 2021 commencing in-memory singleton removal Wed Feb 24 07:45:41 2021 begin with 203449797 relations and 163148273 unique ideals Wed Feb 24 07:46:59 2021 reduce to 141936265 relations and 96135109 ideals in 13 passes Wed Feb 24 07:46:59 2021 max relations containing the same ideal: 44 Wed Feb 24 07:47:09 2021 reading ideals above 720000 Wed Feb 24 07:47:09 2021 commencing singleton removal, initial pass Wed Feb 24 08:00:56 2021 memory use: 3012.0 MB Wed Feb 24 08:00:56 2021 reading all ideals from disk Wed Feb 24 08:00:59 2021 memory use: 5824.6 MB Wed Feb 24 08:01:11 2021 keeping 113833000 ideals with weight <= 200, target excess is 747335 Wed Feb 24 08:01:24 2021 commencing in-memory singleton removal Wed Feb 24 08:01:34 2021 begin with 141936265 relations and 113833000 unique ideals Wed Feb 24 08:02:25 2021 reduce to 141935593 relations and 113832328 ideals in 5 passes Wed Feb 24 08:02:25 2021 max relations containing the same ideal: 200 Wed Feb 24 08:03:15 2021 removing 10513406 relations and 8513406 ideals in 2000000 cliques Wed Feb 24 08:03:19 2021 commencing in-memory singleton removal Wed Feb 24 08:03:28 2021 begin with 131422187 relations and 113832328 unique ideals Wed Feb 24 08:04:43 2021 reduce to 130807826 relations and 104693094 ideals in 8 passes Wed Feb 24 08:04:43 2021 max relations containing the same ideal: 197 Wed Feb 24 08:05:31 2021 removing 8069699 relations and 6069699 ideals in 2000000 cliques Wed Feb 24 08:05:34 2021 commencing in-memory singleton removal Wed Feb 24 08:05:42 2021 begin with 122738127 relations and 104693094 unique ideals Wed Feb 24 08:06:43 2021 reduce to 122325908 relations and 98204742 ideals in 7 passes Wed Feb 24 08:06:43 2021 max relations containing the same ideal: 191 Wed Feb 24 08:07:28 2021 removing 7341086 relations and 5341086 ideals in 2000000 cliques Wed Feb 24 08:07:30 2021 commencing in-memory singleton removal Wed Feb 24 08:07:38 2021 begin with 114984822 relations and 98204742 unique ideals Wed Feb 24 08:08:35 2021 reduce to 114624445 relations and 92497586 ideals in 7 passes Wed Feb 24 08:08:35 2021 max relations containing the same ideal: 186 Wed Feb 24 08:09:17 2021 removing 6975938 relations and 4975938 ideals in 2000000 cliques Wed Feb 24 08:09:19 2021 commencing in-memory singleton removal Wed Feb 24 08:09:26 2021 begin with 107648507 relations and 92497586 unique ideals Wed Feb 24 08:10:20 2021 reduce to 107308843 relations and 87176477 ideals in 7 passes Wed Feb 24 08:10:20 2021 max relations containing the same ideal: 178 Wed Feb 24 08:10:59 2021 removing 6755477 relations and 4755477 ideals in 2000000 cliques Wed Feb 24 08:11:01 2021 commencing in-memory singleton removal Wed Feb 24 08:11:08 2021 begin with 100553366 relations and 87176477 unique ideals Wed Feb 24 08:11:58 2021 reduce to 100219978 relations and 82081948 ideals in 7 passes Wed Feb 24 08:11:58 2021 max relations containing the same ideal: 170 Wed Feb 24 08:12:34 2021 removing 6605671 relations and 4605671 ideals in 2000000 cliques Wed Feb 24 08:12:37 2021 commencing in-memory singleton removal Wed Feb 24 08:12:43 2021 begin with 93614307 relations and 82081948 unique ideals Wed Feb 24 08:13:22 2021 reduce to 93279142 relations and 77134994 ideals in 6 passes Wed Feb 24 08:13:22 2021 max relations containing the same ideal: 162 Wed Feb 24 08:13:56 2021 removing 6513971 relations and 4513971 ideals in 2000000 cliques Wed Feb 24 08:13:59 2021 commencing in-memory singleton removal Wed Feb 24 08:14:05 2021 begin with 86765171 relations and 77134994 unique ideals Wed Feb 24 08:14:41 2021 reduce to 86420345 relations and 72269676 ideals in 6 passes Wed Feb 24 08:14:41 2021 max relations containing the same ideal: 154 Wed Feb 24 08:15:13 2021 removing 6453490 relations and 4453490 ideals in 2000000 cliques Wed Feb 24 08:15:15 2021 commencing in-memory singleton removal Wed Feb 24 08:15:20 2021 begin with 79966855 relations and 72269676 unique ideals Wed Feb 24 08:15:59 2021 reduce to 79608138 relations and 67450067 ideals in 7 passes Wed Feb 24 08:15:59 2021 max relations containing the same ideal: 147 Wed Feb 24 08:16:29 2021 removing 6421222 relations and 4421222 ideals in 2000000 cliques Wed Feb 24 08:16:31 2021 commencing in-memory singleton removal Wed Feb 24 08:16:36 2021 begin with 73186916 relations and 67450067 unique ideals Wed Feb 24 08:17:16 2021 reduce to 72806962 relations and 62640726 ideals in 8 passes Wed Feb 24 08:17:16 2021 max relations containing the same ideal: 139 Wed Feb 24 08:17:43 2021 removing 6412285 relations and 4412285 ideals in 2000000 cliques Wed Feb 24 08:17:45 2021 commencing in-memory singleton removal Wed Feb 24 08:17:49 2021 begin with 66394677 relations and 62640726 unique ideals Wed Feb 24 08:18:16 2021 reduce to 65983912 relations and 57807830 ideals in 6 passes Wed Feb 24 08:18:16 2021 max relations containing the same ideal: 129 Wed Feb 24 08:18:41 2021 removing 6429785 relations and 4429785 ideals in 2000000 cliques Wed Feb 24 08:18:43 2021 commencing in-memory singleton removal Wed Feb 24 08:18:47 2021 begin with 59554127 relations and 57807830 unique ideals Wed Feb 24 08:19:15 2021 reduce to 59105962 relations and 52918157 ideals in 7 passes Wed Feb 24 08:19:15 2021 max relations containing the same ideal: 119 Wed Feb 24 08:19:38 2021 removing 6461965 relations and 4461965 ideals in 2000000 cliques Wed Feb 24 08:19:39 2021 commencing in-memory singleton removal Wed Feb 24 08:19:43 2021 begin with 52643997 relations and 52918157 unique ideals Wed Feb 24 08:20:08 2021 reduce to 52137505 relations and 47935007 ideals in 7 passes Wed Feb 24 08:20:08 2021 max relations containing the same ideal: 111 Wed Feb 24 08:20:27 2021 removing 6513639 relations and 4513639 ideals in 2000000 cliques Wed Feb 24 08:20:29 2021 commencing in-memory singleton removal Wed Feb 24 08:20:32 2021 begin with 45623866 relations and 47935007 unique ideals Wed Feb 24 08:20:53 2021 reduce to 45042746 relations and 42821345 ideals in 7 passes Wed Feb 24 08:20:53 2021 max relations containing the same ideal: 97 Wed Feb 24 08:21:10 2021 removing 4796727 relations and 3442235 ideals in 1354492 cliques Wed Feb 24 08:21:12 2021 commencing in-memory singleton removal Wed Feb 24 08:21:15 2021 begin with 40246019 relations and 42821345 unique ideals Wed Feb 24 08:21:33 2021 reduce to 39874590 relations and 38997800 ideals in 7 passes Wed Feb 24 08:21:33 2021 max relations containing the same ideal: 89 Wed Feb 24 08:21:48 2021 removing 71178 relations and 61297 ideals in 9881 cliques Wed Feb 24 08:21:49 2021 commencing in-memory singleton removal Wed Feb 24 08:21:52 2021 begin with 39803412 relations and 38997800 unique ideals Wed Feb 24 08:22:02 2021 reduce to 39803321 relations and 38936412 ideals in 4 passes Wed Feb 24 08:22:02 2021 max relations containing the same ideal: 89 Wed Feb 24 08:22:08 2021 relations with 0 large ideals: 56596 Wed Feb 24 08:22:08 2021 relations with 1 large ideals: 10147 Wed Feb 24 08:22:08 2021 relations with 2 large ideals: 93464 Wed Feb 24 08:22:08 2021 relations with 3 large ideals: 671065 Wed Feb 24 08:22:08 2021 relations with 4 large ideals: 2681425 Wed Feb 24 08:22:08 2021 relations with 5 large ideals: 6466081 Wed Feb 24 08:22:08 2021 relations with 6 large ideals: 9846146 Wed Feb 24 08:22:08 2021 relations with 7+ large ideals: 19978397 Wed Feb 24 08:22:08 2021 commencing 2-way merge Wed Feb 24 08:22:30 2021 reduce to 26613190 relation sets and 25746281 unique ideals Wed Feb 24 08:22:30 2021 commencing full merge Wed Feb 24 08:43:59 2021 memory use: 1192.4 MB Wed Feb 24 08:43:59 2021 found 90460 cycles, need 5637535 Wed Feb 24 08:43:59 2021 too few cycles, matrix probably cannot build Wed Feb 24 08:52:26 2021 Wed Feb 24 08:52:26 2021 Wed Feb 24 08:52:26 2021 Msieve v. 1.53 (SVN 988M) Wed Feb 24 08:52:26 2021 random seeds: 7a8455ab e49c5d8c Wed Feb 24 08:52:26 2021 factoring 7315028990431812000209736078708968301538151917172863664618862138009628689241425344788151485609450718533276664067484786861406313758000357826148099726029367892153762722738157921123939594585615753995677282419844771747418442524144386471684208711540319 (247 digits) Wed Feb 24 08:52:27 2021 searching for 15-digit factors Wed Feb 24 08:52:28 2021 commencing number field sieve (247-digit input) Wed Feb 24 08:52:28 2021 R0: 10000000000000000000000000000000000000000000 Wed Feb 24 08:52:28 2021 R1: -107752636643058178097424660240453423951129 Wed Feb 24 08:52:28 2021 A0: 1 Wed Feb 24 08:52:28 2021 A1: 1 Wed Feb 24 08:52:28 2021 A2: 1 Wed Feb 24 08:52:28 2021 A3: 1 Wed Feb 24 08:52:28 2021 A4: 1 Wed Feb 24 08:52:28 2021 A5: 1 Wed Feb 24 08:52:28 2021 A6: 1 Wed Feb 24 08:52:28 2021 skew 1.00, size 1.007e-12, alpha 2.428, combined = 1.162e-13 rroots = 0 Wed Feb 24 08:52:28 2021 Wed Feb 24 08:52:28 2021 commencing relation filtering Wed Feb 24 08:52:28 2021 setting target matrix density to 124.0 Wed Feb 24 08:52:28 2021 estimated available RAM is 32768.0 MB Wed Feb 24 08:52:28 2021 commencing duplicate removal, pass 1 Wed Feb 24 09:05:22 2021 error -5 reading relation 132183458 Wed Feb 24 09:05:22 2021 error -1 reading relation 132308240 Wed Feb 24 09:05:23 2021 error -1 reading relation 132403169 Wed Feb 24 09:05:59 2021 error -15 reading relation 138601601 Wed Feb 24 09:06:33 2021 error -15 reading relation 144313279 Wed Feb 24 09:06:33 2021 error -1 reading relation 144314379 Wed Feb 24 09:06:33 2021 error -1 reading relation 144355927 Wed Feb 24 09:06:33 2021 error -1 reading relation 144357045 Wed Feb 24 09:06:34 2021 error -1 reading relation 144474807 Wed Feb 24 09:07:42 2021 error -15 reading relation 156021236 Wed Feb 24 09:09:29 2021 error -5 reading relation 174165794 Wed Feb 24 09:10:57 2021 error -6 reading relation 188974730 Wed Feb 24 09:11:18 2021 error -15 reading relation 192573866 Wed Feb 24 09:11:44 2021 error -15 reading relation 197084901 Wed Feb 24 09:12:36 2021 skipped 635 relations with b > 2^32 Wed Feb 24 09:12:36 2021 skipped 8 relations with composite factors Wed Feb 24 09:12:36 2021 found 9066161 hash collisions in 203449797 relations Wed Feb 24 09:12:36 2021 commencing duplicate removal, pass 2 Wed Feb 24 09:13:22 2021 found 0 duplicates and 203449797 unique relations Wed Feb 24 09:13:22 2021 memory use: 522.4 MB Wed Feb 24 09:13:22 2021 reading ideals above 164691968 Wed Feb 24 09:13:22 2021 commencing singleton removal, initial pass Wed Feb 24 09:27:48 2021 memory use: 3012.0 MB Wed Feb 24 09:27:48 2021 reading all ideals from disk Wed Feb 24 09:27:50 2021 memory use: 3563.1 MB Wed Feb 24 09:27:57 2021 commencing in-memory singleton removal Wed Feb 24 09:28:04 2021 begin with 203449797 relations and 163148273 unique ideals Wed Feb 24 09:29:25 2021 reduce to 141936265 relations and 96135109 ideals in 13 passes Wed Feb 24 09:29:25 2021 max relations containing the same ideal: 44 Wed Feb 24 09:29:36 2021 reading ideals above 720000 Wed Feb 24 09:29:36 2021 commencing singleton removal, initial pass Wed Feb 24 09:43:29 2021 memory use: 3012.0 MB Wed Feb 24 09:43:29 2021 reading all ideals from disk Wed Feb 24 09:43:33 2021 memory use: 5824.6 MB Wed Feb 24 09:43:45 2021 keeping 113833000 ideals with weight <= 200, target excess is 747335 Wed Feb 24 09:43:58 2021 commencing in-memory singleton removal Wed Feb 24 09:44:08 2021 begin with 141936265 relations and 113833000 unique ideals Wed Feb 24 09:45:02 2021 reduce to 141935593 relations and 113832328 ideals in 5 passes Wed Feb 24 09:45:02 2021 max relations containing the same ideal: 200 Wed Feb 24 09:45:55 2021 removing 10513406 relations and 8513406 ideals in 2000000 cliques Wed Feb 24 09:45:58 2021 commencing in-memory singleton removal Wed Feb 24 09:46:07 2021 begin with 131422187 relations and 113832328 unique ideals Wed Feb 24 09:47:28 2021 reduce to 130807826 relations and 104693094 ideals in 8 passes Wed Feb 24 09:47:28 2021 max relations containing the same ideal: 197 Wed Feb 24 09:48:16 2021 removing 8069699 relations and 6069699 ideals in 2000000 cliques Wed Feb 24 09:48:19 2021 commencing in-memory singleton removal Wed Feb 24 09:48:27 2021 begin with 122738127 relations and 104693094 unique ideals Wed Feb 24 09:49:32 2021 reduce to 122325908 relations and 98204742 ideals in 7 passes Wed Feb 24 09:49:32 2021 max relations containing the same ideal: 191 Wed Feb 24 09:50:18 2021 removing 7341086 relations and 5341086 ideals in 2000000 cliques Wed Feb 24 09:50:20 2021 commencing in-memory singleton removal Wed Feb 24 09:50:28 2021 begin with 114984822 relations and 98204742 unique ideals Wed Feb 24 09:51:29 2021 reduce to 114624445 relations and 92497586 ideals in 7 passes Wed Feb 24 09:51:29 2021 max relations containing the same ideal: 186 Wed Feb 24 09:52:12 2021 removing 6975938 relations and 4975938 ideals in 2000000 cliques Wed Feb 24 09:52:15 2021 commencing in-memory singleton removal Wed Feb 24 09:52:22 2021 begin with 107648507 relations and 92497586 unique ideals Wed Feb 24 09:53:19 2021 reduce to 107308843 relations and 87176477 ideals in 7 passes Wed Feb 24 09:53:19 2021 max relations containing the same ideal: 178 Wed Feb 24 09:53:59 2021 removing 6755477 relations and 4755477 ideals in 2000000 cliques Wed Feb 24 09:54:02 2021 commencing in-memory singleton removal Wed Feb 24 09:54:09 2021 begin with 100553366 relations and 87176477 unique ideals Wed Feb 24 09:55:02 2021 reduce to 100219978 relations and 82081948 ideals in 7 passes Wed Feb 24 09:55:02 2021 max relations containing the same ideal: 170 Wed Feb 24 09:55:40 2021 removing 6605671 relations and 4605671 ideals in 2000000 cliques Wed Feb 24 09:55:42 2021 commencing in-memory singleton removal Wed Feb 24 09:55:48 2021 begin with 93614307 relations and 82081948 unique ideals Wed Feb 24 09:56:30 2021 reduce to 93279142 relations and 77134994 ideals in 6 passes Wed Feb 24 09:56:30 2021 max relations containing the same ideal: 162 Wed Feb 24 09:57:05 2021 removing 6513971 relations and 4513971 ideals in 2000000 cliques Wed Feb 24 09:57:08 2021 commencing in-memory singleton removal Wed Feb 24 09:57:14 2021 begin with 86765171 relations and 77134994 unique ideals Wed Feb 24 09:57:52 2021 reduce to 86420345 relations and 72269676 ideals in 6 passes Wed Feb 24 09:57:52 2021 max relations containing the same ideal: 154 Wed Feb 24 09:58:25 2021 removing 6453490 relations and 4453490 ideals in 2000000 cliques Wed Feb 24 09:58:27 2021 commencing in-memory singleton removal Wed Feb 24 09:58:33 2021 begin with 79966855 relations and 72269676 unique ideals Wed Feb 24 09:59:14 2021 reduce to 79608138 relations and 67450067 ideals in 7 passes Wed Feb 24 09:59:14 2021 max relations containing the same ideal: 147 Wed Feb 24 09:59:45 2021 removing 6421222 relations and 4421222 ideals in 2000000 cliques Wed Feb 24 09:59:47 2021 commencing in-memory singleton removal Wed Feb 24 09:59:52 2021 begin with 73186916 relations and 67450067 unique ideals Wed Feb 24 10:00:35 2021 reduce to 72806962 relations and 62640726 ideals in 8 passes Wed Feb 24 10:00:35 2021 max relations containing the same ideal: 139 Wed Feb 24 10:01:03 2021 removing 6412285 relations and 4412285 ideals in 2000000 cliques Wed Feb 24 10:01:05 2021 commencing in-memory singleton removal Wed Feb 24 10:01:10 2021 begin with 66394677 relations and 62640726 unique ideals Wed Feb 24 10:01:39 2021 reduce to 65983912 relations and 57807830 ideals in 6 passes Wed Feb 24 10:01:39 2021 max relations containing the same ideal: 129 Wed Feb 24 10:02:05 2021 removing 6429785 relations and 4429785 ideals in 2000000 cliques Wed Feb 24 10:02:07 2021 commencing in-memory singleton removal Wed Feb 24 10:02:11 2021 begin with 59554127 relations and 57807830 unique ideals Wed Feb 24 10:02:40 2021 reduce to 59105962 relations and 52918157 ideals in 7 passes Wed Feb 24 10:02:40 2021 max relations containing the same ideal: 119 Wed Feb 24 10:03:04 2021 removing 6461965 relations and 4461965 ideals in 2000000 cliques Wed Feb 24 10:03:06 2021 commencing in-memory singleton removal Wed Feb 24 10:03:09 2021 begin with 52643997 relations and 52918157 unique ideals Wed Feb 24 10:03:36 2021 reduce to 52137505 relations and 47935007 ideals in 7 passes Wed Feb 24 10:03:36 2021 max relations containing the same ideal: 111 Wed Feb 24 10:03:56 2021 removing 6513639 relations and 4513639 ideals in 2000000 cliques Wed Feb 24 10:03:58 2021 commencing in-memory singleton removal Wed Feb 24 10:04:01 2021 begin with 45623866 relations and 47935007 unique ideals Wed Feb 24 10:04:24 2021 reduce to 45042746 relations and 42821345 ideals in 7 passes Wed Feb 24 10:04:24 2021 max relations containing the same ideal: 97 Wed Feb 24 10:04:41 2021 removing 4796727 relations and 3442235 ideals in 1354492 cliques Wed Feb 24 10:04:43 2021 commencing in-memory singleton removal Wed Feb 24 10:04:46 2021 begin with 40246019 relations and 42821345 unique ideals Wed Feb 24 10:05:05 2021 reduce to 39874590 relations and 38997800 ideals in 7 passes Wed Feb 24 10:05:05 2021 max relations containing the same ideal: 89 Wed Feb 24 10:05:22 2021 removing 71178 relations and 61297 ideals in 9881 cliques Wed Feb 24 10:05:23 2021 commencing in-memory singleton removal Wed Feb 24 10:05:25 2021 begin with 39803412 relations and 38997800 unique ideals Wed Feb 24 10:05:36 2021 reduce to 39803321 relations and 38936412 ideals in 4 passes Wed Feb 24 10:05:36 2021 max relations containing the same ideal: 89 Wed Feb 24 10:05:42 2021 relations with 0 large ideals: 56596 Wed Feb 24 10:05:42 2021 relations with 1 large ideals: 10147 Wed Feb 24 10:05:42 2021 relations with 2 large ideals: 93464 Wed Feb 24 10:05:42 2021 relations with 3 large ideals: 671065 Wed Feb 24 10:05:42 2021 relations with 4 large ideals: 2681425 Wed Feb 24 10:05:42 2021 relations with 5 large ideals: 6466081 Wed Feb 24 10:05:42 2021 relations with 6 large ideals: 9846146 Wed Feb 24 10:05:42 2021 relations with 7+ large ideals: 19978397 Wed Feb 24 10:05:42 2021 commencing 2-way merge Wed Feb 24 10:06:04 2021 reduce to 26613190 relation sets and 25746281 unique ideals Wed Feb 24 10:06:04 2021 commencing full merge Wed Feb 24 10:27:47 2021 memory use: 1192.4 MB Wed Feb 24 10:27:47 2021 found 90460 cycles, need 5637535 Wed Feb 24 10:27:47 2021 too few cycles, matrix probably cannot build Wed Feb 24 10:47:00 2021 Wed Feb 24 10:47:00 2021 Wed Feb 24 10:47:00 2021 Msieve v. 1.53 (SVN 988M) Wed Feb 24 10:47:00 2021 random seeds: 77dc51df 197cc0e1 Wed Feb 24 10:47:00 2021 factoring 7315028990431812000209736078708968301538151917172863664618862138009628689241425344788151485609450718533276664067484786861406313758000357826148099726029367892153762722738157921123939594585615753995677282419844771747418442524144386471684208711540319 (247 digits) Wed Feb 24 10:47:01 2021 searching for 15-digit factors Wed Feb 24 10:47:02 2021 commencing number field sieve (247-digit input) Wed Feb 24 10:47:02 2021 R0: 10000000000000000000000000000000000000000000 Wed Feb 24 10:47:02 2021 R1: -107752636643058178097424660240453423951129 Wed Feb 24 10:47:02 2021 A0: 1 Wed Feb 24 10:47:02 2021 A1: 1 Wed Feb 24 10:47:02 2021 A2: 1 Wed Feb 24 10:47:02 2021 A3: 1 Wed Feb 24 10:47:02 2021 A4: 1 Wed Feb 24 10:47:02 2021 A5: 1 Wed Feb 24 10:47:02 2021 A6: 1 Wed Feb 24 10:47:02 2021 skew 1.00, size 1.007e-12, alpha 2.428, combined = 1.162e-13 rroots = 0 Wed Feb 24 10:47:02 2021 Wed Feb 24 10:47:02 2021 commencing relation filtering Wed Feb 24 10:47:02 2021 setting target matrix density to 120.0 Wed Feb 24 10:47:02 2021 estimated available RAM is 32768.0 MB Wed Feb 24 10:47:02 2021 commencing duplicate removal, pass 1 Wed Feb 24 10:59:57 2021 error -5 reading relation 132183458 Wed Feb 24 10:59:58 2021 error -1 reading relation 132308240 Wed Feb 24 10:59:58 2021 error -1 reading relation 132403169 Wed Feb 24 11:00:35 2021 error -15 reading relation 138601601 Wed Feb 24 11:01:09 2021 error -15 reading relation 144313279 Wed Feb 24 11:01:09 2021 error -1 reading relation 144314379 Wed Feb 24 11:01:09 2021 error -1 reading relation 144355927 Wed Feb 24 11:01:09 2021 error -1 reading relation 144357045 Wed Feb 24 11:01:10 2021 error -1 reading relation 144474807 Wed Feb 24 11:02:18 2021 error -15 reading relation 156021236 Wed Feb 24 11:04:05 2021 error -5 reading relation 174165794 Wed Feb 24 11:05:33 2021 error -6 reading relation 188974730 Wed Feb 24 11:05:54 2021 error -15 reading relation 192573866 Wed Feb 24 11:06:21 2021 error -15 reading relation 197084901 Wed Feb 24 11:06:51 2021 skipped 643 relations with b > 2^32 Wed Feb 24 11:06:51 2021 skipped 8 relations with composite factors Wed Feb 24 11:06:51 2021 found 8947004 hash collisions in 202056719 relations Wed Feb 24 11:06:56 2021 added 2438534 free relations Wed Feb 24 11:06:56 2021 commencing duplicate removal, pass 2 Wed Feb 24 11:07:42 2021 found 0 duplicates and 204495253 unique relations Wed Feb 24 11:07:42 2021 memory use: 522.4 MB Wed Feb 24 11:07:42 2021 reading ideals above 164823040 Wed Feb 24 11:07:42 2021 commencing singleton removal, initial pass Wed Feb 24 11:22:09 2021 memory use: 3012.0 MB Wed Feb 24 11:22:09 2021 reading all ideals from disk Wed Feb 24 11:22:12 2021 memory use: 3581.0 MB Wed Feb 24 11:22:18 2021 commencing in-memory singleton removal Wed Feb 24 11:22:25 2021 begin with 204495253 relations and 163382874 unique ideals Wed Feb 24 11:23:41 2021 reduce to 143374166 relations and 96849903 ideals in 12 passes Wed Feb 24 11:23:41 2021 max relations containing the same ideal: 44 Wed Feb 24 11:23:52 2021 reading ideals above 720000 Wed Feb 24 11:23:53 2021 commencing singleton removal, initial pass Wed Feb 24 11:37:55 2021 memory use: 3012.0 MB Wed Feb 24 11:37:56 2021 reading all ideals from disk Wed Feb 24 11:37:59 2021 memory use: 5884.1 MB Wed Feb 24 11:38:12 2021 keeping 114553443 ideals with weight <= 200, target excess is 755456 Wed Feb 24 11:38:25 2021 commencing in-memory singleton removal Wed Feb 24 11:38:35 2021 begin with 143374166 relations and 114553443 unique ideals Wed Feb 24 11:39:30 2021 reduce to 143373572 relations and 114552849 ideals in 5 passes Wed Feb 24 11:39:30 2021 max relations containing the same ideal: 200 Wed Feb 24 11:40:23 2021 removing 10448154 relations and 8448154 ideals in 2000000 cliques Wed Feb 24 11:40:26 2021 commencing in-memory singleton removal Wed Feb 24 11:40:36 2021 begin with 132925418 relations and 114552849 unique ideals Wed Feb 24 11:41:58 2021 reduce to 132324027 relations and 105492237 ideals in 8 passes Wed Feb 24 11:41:58 2021 max relations containing the same ideal: 197 Wed Feb 24 11:42:46 2021 removing 8024047 relations and 6024047 ideals in 2000000 cliques Wed Feb 24 11:42:49 2021 commencing in-memory singleton removal Wed Feb 24 11:42:58 2021 begin with 124299980 relations and 105492237 unique ideals Wed Feb 24 11:44:04 2021 reduce to 123897489 relations and 99059482 ideals in 7 passes Wed Feb 24 11:44:04 2021 max relations containing the same ideal: 192 Wed Feb 24 11:44:50 2021 removing 7299371 relations and 5299371 ideals in 2000000 cliques Wed Feb 24 11:44:53 2021 commencing in-memory singleton removal Wed Feb 24 11:45:01 2021 begin with 116598118 relations and 99059482 unique ideals Wed Feb 24 11:45:54 2021 reduce to 116244864 relations and 93401404 ideals in 6 passes Wed Feb 24 11:45:54 2021 max relations containing the same ideal: 186 Wed Feb 24 11:46:37 2021 removing 6937582 relations and 4937582 ideals in 2000000 cliques Wed Feb 24 11:46:40 2021 commencing in-memory singleton removal Wed Feb 24 11:46:47 2021 begin with 109307282 relations and 93401404 unique ideals Wed Feb 24 11:47:37 2021 reduce to 108975748 relations and 88126946 ideals in 6 passes Wed Feb 24 11:47:37 2021 max relations containing the same ideal: 178 Wed Feb 24 11:48:18 2021 removing 6716214 relations and 4716214 ideals in 2000000 cliques Wed Feb 24 11:48:21 2021 commencing in-memory singleton removal Wed Feb 24 11:48:28 2021 begin with 102259534 relations and 88126946 unique ideals Wed Feb 24 11:49:21 2021 reduce to 101934794 relations and 83080516 ideals in 7 passes Wed Feb 24 11:49:21 2021 max relations containing the same ideal: 172 Wed Feb 24 11:49:59 2021 removing 6568544 relations and 4568544 ideals in 2000000 cliques Wed Feb 24 11:50:02 2021 commencing in-memory singleton removal Wed Feb 24 11:50:08 2021 begin with 95366250 relations and 83080516 unique ideals Wed Feb 24 11:50:58 2021 reduce to 95040852 relations and 78180775 ideals in 7 passes Wed Feb 24 11:50:58 2021 max relations containing the same ideal: 165 Wed Feb 24 11:51:34 2021 removing 6475061 relations and 4475061 ideals in 2000000 cliques Wed Feb 24 11:51:36 2021 commencing in-memory singleton removal Wed Feb 24 11:51:42 2021 begin with 88565791 relations and 78180775 unique ideals Wed Feb 24 11:52:28 2021 reduce to 88231867 relations and 73365668 ideals in 7 passes Wed Feb 24 11:52:28 2021 max relations containing the same ideal: 155 Wed Feb 24 11:53:01 2021 removing 6410910 relations and 4410910 ideals in 2000000 cliques Wed Feb 24 11:53:03 2021 commencing in-memory singleton removal Wed Feb 24 11:53:09 2021 begin with 81820957 relations and 73365668 unique ideals Wed Feb 24 11:53:45 2021 reduce to 81475613 relations and 68602353 ideals in 6 passes Wed Feb 24 11:53:45 2021 max relations containing the same ideal: 147 Wed Feb 24 11:54:17 2021 removing 6379548 relations and 4379548 ideals in 2000000 cliques Wed Feb 24 11:54:19 2021 commencing in-memory singleton removal Wed Feb 24 11:54:24 2021 begin with 75096065 relations and 68602353 unique ideals Wed Feb 24 11:55:02 2021 reduce to 74730172 relations and 63849286 ideals in 7 passes Wed Feb 24 11:55:02 2021 max relations containing the same ideal: 139 Wed Feb 24 11:55:31 2021 removing 6366018 relations and 4366018 ideals in 2000000 cliques Wed Feb 24 11:55:33 2021 commencing in-memory singleton removal Wed Feb 24 11:55:37 2021 begin with 68364154 relations and 63849286 unique ideals Wed Feb 24 11:56:12 2021 reduce to 67970731 relations and 59080737 ideals in 7 passes Wed Feb 24 11:56:12 2021 max relations containing the same ideal: 133 Wed Feb 24 11:56:38 2021 removing 6376193 relations and 4376193 ideals in 2000000 cliques Wed Feb 24 11:56:40 2021 commencing in-memory singleton removal Wed Feb 24 11:56:44 2021 begin with 61594538 relations and 59080737 unique ideals Wed Feb 24 11:57:15 2021 reduce to 61166379 relations and 54265573 ideals in 7 passes Wed Feb 24 11:57:15 2021 max relations containing the same ideal: 123 Wed Feb 24 11:57:39 2021 removing 6405974 relations and 4405974 ideals in 2000000 cliques Wed Feb 24 11:57:41 2021 commencing in-memory singleton removal Wed Feb 24 11:57:45 2021 begin with 54760405 relations and 54265573 unique ideals Wed Feb 24 11:58:16 2021 reduce to 54281274 relations and 49367120 ideals in 8 passes Wed Feb 24 11:58:16 2021 max relations containing the same ideal: 113 Wed Feb 24 11:58:37 2021 removing 6455632 relations and 4455632 ideals in 2000000 cliques Wed Feb 24 11:58:39 2021 commencing in-memory singleton removal Wed Feb 24 11:58:42 2021 begin with 47825642 relations and 49367120 unique ideals Wed Feb 24 11:59:12 2021 reduce to 47279814 relations and 44348539 ideals in 9 passes Wed Feb 24 11:59:12 2021 max relations containing the same ideal: 103 Wed Feb 24 11:59:31 2021 removing 6516639 relations and 4516639 ideals in 2000000 cliques Wed Feb 24 11:59:33 2021 commencing in-memory singleton removal Wed Feb 24 11:59:36 2021 begin with 40763175 relations and 44348539 unique ideals Wed Feb 24 11:59:59 2021 reduce to 40119336 relations and 39164939 ideals in 8 passes Wed Feb 24 11:59:59 2021 max relations containing the same ideal: 89 Wed Feb 24 12:00:14 2021 removing 452602 relations and 374534 ideals in 78068 cliques Wed Feb 24 12:00:15 2021 commencing in-memory singleton removal Wed Feb 24 12:00:18 2021 begin with 39666734 relations and 39164939 unique ideals Wed Feb 24 12:00:32 2021 reduce to 39662914 relations and 38786575 ideals in 5 passes Wed Feb 24 12:00:32 2021 max relations containing the same ideal: 88 Wed Feb 24 12:00:37 2021 relations with 0 large ideals: 57181 Wed Feb 24 12:00:37 2021 relations with 1 large ideals: 10413 Wed Feb 24 12:00:37 2021 relations with 2 large ideals: 96426 Wed Feb 24 12:00:37 2021 relations with 3 large ideals: 687085 Wed Feb 24 12:00:37 2021 relations with 4 large ideals: 2725196 Wed Feb 24 12:00:37 2021 relations with 5 large ideals: 6520858 Wed Feb 24 12:00:37 2021 relations with 6 large ideals: 9847127 Wed Feb 24 12:00:37 2021 relations with 7+ large ideals: 19718628 Wed Feb 24 12:00:37 2021 commencing 2-way merge Wed Feb 24 12:01:00 2021 reduce to 26542761 relation sets and 25666422 unique ideals Wed Feb 24 12:01:00 2021 commencing full merge Wed Feb 24 12:11:50 2021 memory use: 3693.0 MB Wed Feb 24 12:11:56 2021 found 12118404 cycles, need 12100622 Wed Feb 24 12:11:57 2021 weight of 12100622 cycles is about 1452558675 (120.04/cycle) Wed Feb 24 12:11:57 2021 distribution of cycle lengths: Wed Feb 24 12:11:57 2021 1 relations: 573614 Wed Feb 24 12:11:57 2021 2 relations: 742732 Wed Feb 24 12:11:57 2021 3 relations: 850749 Wed Feb 24 12:11:57 2021 4 relations: 872700 Wed Feb 24 12:11:57 2021 5 relations: 888702 Wed Feb 24 12:11:57 2021 6 relations: 882027 Wed Feb 24 12:11:57 2021 7 relations: 857798 Wed Feb 24 12:11:57 2021 8 relations: 820244 Wed Feb 24 12:11:57 2021 9 relations: 769389 Wed Feb 24 12:11:57 2021 10+ relations: 4842667 Wed Feb 24 12:11:57 2021 heaviest cycle: 28 relations Wed Feb 24 12:12:02 2021 commencing cycle optimization Wed Feb 24 12:12:30 2021 start with 107913061 relations Wed Feb 24 12:17:02 2021 pruned 5273668 relations Wed Feb 24 12:17:02 2021 memory use: 2762.0 MB Wed Feb 24 12:17:02 2021 distribution of cycle lengths: Wed Feb 24 12:17:02 2021 1 relations: 573614 Wed Feb 24 12:17:02 2021 2 relations: 758935 Wed Feb 24 12:17:02 2021 3 relations: 884399 Wed Feb 24 12:17:02 2021 4 relations: 909257 Wed Feb 24 12:17:02 2021 5 relations: 935024 Wed Feb 24 12:17:02 2021 6 relations: 926034 Wed Feb 24 12:17:02 2021 7 relations: 906625 Wed Feb 24 12:17:02 2021 8 relations: 863375 Wed Feb 24 12:17:02 2021 9 relations: 809580 Wed Feb 24 12:17:02 2021 10+ relations: 4533779 Wed Feb 24 12:17:02 2021 heaviest cycle: 28 relations Wed Feb 24 12:17:32 2021 RelProcTime: 5430 Wed Feb 24 12:17:32 2021 Wed Feb 24 12:17:32 2021 commencing linear algebra Wed Feb 24 12:17:34 2021 read 12100622 cycles Wed Feb 24 12:18:00 2021 cycles contain 39232406 unique relations Wed Feb 24 12:20:34 2021 read 39232406 relations Wed Feb 24 12:21:56 2021 using 20 quadratic characters above 4294917295 Wed Feb 24 12:24:05 2021 building initial matrix Wed Feb 24 12:30:57 2021 memory use: 5002.9 MB Wed Feb 24 12:31:09 2021 read 12100622 cycles Wed Feb 24 12:31:11 2021 matrix is 12100445 x 12100622 (5677.4 MB) with weight 1609302919 (132.99/col) Wed Feb 24 12:31:11 2021 sparse part has weight 1355189935 (111.99/col) Wed Feb 24 12:33:15 2021 filtering completed in 2 passes Wed Feb 24 12:33:16 2021 matrix is 12100350 x 12100527 (5677.4 MB) with weight 1609300076 (132.99/col) Wed Feb 24 12:33:16 2021 sparse part has weight 1355189098 (111.99/col) Wed Feb 24 12:33:57 2021 matrix starts at (0, 0) Wed Feb 24 12:33:58 2021 matrix is 12100350 x 12100527 (5677.4 MB) with weight 1609300076 (132.99/col) Wed Feb 24 12:33:58 2021 sparse part has weight 1355189098 (111.99/col) Wed Feb 24 12:33:58 2021 saving the first 48 matrix rows for later Wed Feb 24 12:34:00 2021 matrix includes 64 packed rows Wed Feb 24 12:34:01 2021 matrix is 12100302 x 12100527 (5443.7 MB) with weight 1392651213 (115.09/col) Wed Feb 24 12:34:01 2021 sparse part has weight 1306040883 (107.93/col) Wed Feb 24 12:34:01 2021 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB Wed Feb 24 12:35:03 2021 commencing Lanczos iteration (10 threads) Wed Feb 24 12:35:03 2021 memory use: 4672.6 MB Wed Feb 24 12:35:25 2021 linear algebra at 0.0%, ETA 46h25m Wed Feb 24 12:35:32 2021 checkpointing every 270000 dimensions Fri Feb 26 13:12:55 2021 lanczos halted after 191351 iterations (dim = 12100300) Fri Feb 26 13:13:04 2021 recovered 36 nontrivial dependencies Fri Feb 26 13:13:06 2021 BLanczosTime: 176134 Fri Feb 26 13:13:06 2021 Fri Feb 26 13:13:06 2021 commencing square root phase Fri Feb 26 13:13:06 2021 handling dependencies 1 to 64 Fri Feb 26 13:13:06 2021 reading relations for dependency 1 Fri Feb 26 13:13:09 2021 read 6052440 cycles Fri Feb 26 13:13:21 2021 cycles contain 19621690 unique relations Fri Feb 26 13:14:47 2021 read 19621690 relations Fri Feb 26 13:16:07 2021 multiplying 19621690 relations Fri Feb 26 13:26:13 2021 multiply complete, coefficients have about 509.45 million bits Fri Feb 26 13:26:16 2021 initial square root is modulo 1384227113 Fri Feb 26 13:37:07 2021 sqrtTime: 1441 Fri Feb 26 13:37:07 2021 p121 factor: 1166050058398648290381182153579501524867943211569524161665693673407438005097477829470831046604052564300310697233981323923 Fri Feb 26 13:37:07 2021 p127 factor: 6273340443443428530280032079897610294426015100164307141996200398574234872843087666483603806714750306420310220285009581788958853 Fri Feb 26 13:37:07 2021 elapsed time 50:50:07
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