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- Fri Apr 16 06:27:13 2021
- Fri Apr 16 06:27:13 2021
- Fri Apr 16 06:27:13 2021 Msieve v. 1.54 (SVN 1040M)
- Fri Apr 16 06:27:13 2021 random seeds: c673ae38 3859f051
- Fri Apr 16 06:27:13 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
- Fri Apr 16 06:27:14 2021 searching for 15-digit factors
- Fri Apr 16 06:27:15 2021 commencing number field sieve (222-digit input)
- Fri Apr 16 06:27:15 2021 R0: 14697715679690864505827555550150426126974976
- Fri Apr 16 06:27:15 2021 R1: -9094947017729282379150390625
- Fri Apr 16 06:27:15 2021 A0: -12
- Fri Apr 16 06:27:15 2021 A1: 0
- Fri Apr 16 06:27:15 2021 A2: 0
- Fri Apr 16 06:27:15 2021 A3: 0
- Fri Apr 16 06:27:15 2021 A4: 0
- Fri Apr 16 06:27:15 2021 A5: 0
- Fri Apr 16 06:27:15 2021 A6: 5
- Fri Apr 16 06:27:15 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
- Fri Apr 16 06:27:15 2021
- Fri Apr 16 06:27:15 2021 commencing relation filtering
- Fri Apr 16 06:27:15 2021 setting target matrix density to 130.0
- Fri Apr 16 06:27:15 2021 estimated available RAM is 32768.0 MB
- Fri Apr 16 06:27:15 2021 commencing duplicate removal, pass 1
- Fri Apr 16 06:32:20 2021 error -5 reading relation 46818519
- Fri Apr 16 06:34:14 2021 error -15 reading relation 65671005
- Fri Apr 16 06:34:15 2021 error -15 reading relation 65888423
- Fri Apr 16 06:37:56 2021 error -15 reading relation 103221242
- Fri Apr 16 06:38:06 2021 error -15 reading relation 105024791
- Fri Apr 16 06:39:10 2021 error -15 reading relation 115673668
- Fri Apr 16 06:45:11 2021 error -15 reading relation 176532554
- Fri Apr 16 06:48:51 2021 skipped 703 relations with b > 2^32
- Fri Apr 16 06:48:51 2021 skipped 2 relations with composite factors
- Fri Apr 16 06:48:51 2021 found 9957532 hash collisions in 213535217 relations
- Fri Apr 16 06:49:02 2021 added 1218252 free relations
- Fri Apr 16 06:49:02 2021 commencing duplicate removal, pass 2
- Fri Apr 16 06:58:04 2021 found 0 duplicates and 214753469 unique relations
- Fri Apr 16 06:58:04 2021 memory use: 522.4 MB
- Fri Apr 16 06:58:04 2021 reading ideals above 159973376
- Fri Apr 16 06:58:04 2021 commencing singleton removal, initial pass
- Fri Apr 16 07:13:34 2021 memory use: 5512.0 MB
- Fri Apr 16 07:13:35 2021 reading all ideals from disk
- Fri Apr 16 07:15:06 2021 memory use: 3875.4 MB
- Fri Apr 16 07:15:14 2021 commencing in-memory singleton removal
- Fri Apr 16 07:15:22 2021 begin with 214753469 relations and 167211013 unique ideals
- Fri Apr 16 07:16:48 2021 reduce to 159550960 relations and 107751952 ideals in 15 passes
- Fri Apr 16 07:16:48 2021 max relations containing the same ideal: 50
- Fri Apr 16 07:17:07 2021 reading ideals above 720000
- Fri Apr 16 07:17:07 2021 commencing singleton removal, initial pass
- Fri Apr 16 07:32:38 2021 memory use: 3012.0 MB
- Fri Apr 16 07:32:39 2021 reading all ideals from disk
- Fri Apr 16 07:35:14 2021 memory use: 6551.5 MB
- Fri Apr 16 07:35:28 2021 keeping 124871408 ideals with weight <= 200, target excess is 821227
- Fri Apr 16 07:35:43 2021 commencing in-memory singleton removal
- Fri Apr 16 07:35:54 2021 begin with 159550960 relations and 124871408 unique ideals
- Fri Apr 16 07:36:47 2021 reduce to 159550250 relations and 124870698 ideals in 5 passes
- Fri Apr 16 07:36:47 2021 max relations containing the same ideal: 200
- Fri Apr 16 07:37:45 2021 removing 9867214 relations and 7867214 ideals in 2000000 cliques
- Fri Apr 16 07:37:50 2021 commencing in-memory singleton removal
- Fri Apr 16 07:38:01 2021 begin with 149683036 relations and 124870698 unique ideals
- Fri Apr 16 07:39:19 2021 reduce to 149182266 relations and 116494442 ideals in 8 passes
- Fri Apr 16 07:39:19 2021 max relations containing the same ideal: 198
- Fri Apr 16 07:40:15 2021 removing 7633541 relations and 5633541 ideals in 2000000 cliques
- Fri Apr 16 07:40:19 2021 commencing in-memory singleton removal
- Fri Apr 16 07:40:29 2021 begin with 141548725 relations and 116494442 unique ideals
- Fri Apr 16 07:41:34 2021 reduce to 141213411 relations and 110520750 ideals in 7 passes
- Fri Apr 16 07:41:34 2021 max relations containing the same ideal: 193
- Fri Apr 16 07:42:27 2021 removing 6978289 relations and 4978289 ideals in 2000000 cliques
- Fri Apr 16 07:42:31 2021 commencing in-memory singleton removal
- Fri Apr 16 07:42:40 2021 begin with 134235122 relations and 110520750 unique ideals
- Fri Apr 16 07:43:32 2021 reduce to 133939734 relations and 105242984 ideals in 6 passes
- Fri Apr 16 07:43:32 2021 max relations containing the same ideal: 189
- Fri Apr 16 07:44:23 2021 removing 6650731 relations and 4650731 ideals in 2000000 cliques
- Fri Apr 16 07:44:27 2021 commencing in-memory singleton removal
- Fri Apr 16 07:44:35 2021 begin with 127289003 relations and 105242984 unique ideals
- Fri Apr 16 07:45:33 2021 reduce to 127013256 relations and 100312559 ideals in 7 passes
- Fri Apr 16 07:45:33 2021 max relations containing the same ideal: 183
- Fri Apr 16 07:46:21 2021 removing 6449048 relations and 4449048 ideals in 2000000 cliques
- Fri Apr 16 07:46:25 2021 commencing in-memory singleton removal
- Fri Apr 16 07:46:34 2021 begin with 120564208 relations and 100312559 unique ideals
- Fri Apr 16 07:47:43 2021 reduce to 120295130 relations and 95590438 ideals in 9 passes
- Fri Apr 16 07:47:43 2021 max relations containing the same ideal: 178
- Fri Apr 16 07:48:28 2021 removing 6313930 relations and 4313930 ideals in 2000000 cliques
- Fri Apr 16 07:48:31 2021 commencing in-memory singleton removal
- Fri Apr 16 07:48:40 2021 begin with 113981200 relations and 95590438 unique ideals
- Fri Apr 16 07:49:25 2021 reduce to 113715518 relations and 91006850 ideals in 6 passes
- Fri Apr 16 07:49:25 2021 max relations containing the same ideal: 169
- Fri Apr 16 07:50:09 2021 removing 6225526 relations and 4225526 ideals in 2000000 cliques
- Fri Apr 16 07:50:12 2021 commencing in-memory singleton removal
- Fri Apr 16 07:50:20 2021 begin with 107489992 relations and 91006850 unique ideals
- Fri Apr 16 07:51:08 2021 reduce to 107220658 relations and 86507725 ideals in 7 passes
- Fri Apr 16 07:51:08 2021 max relations containing the same ideal: 166
- Fri Apr 16 07:51:49 2021 removing 6166693 relations and 4166693 ideals in 2000000 cliques
- Fri Apr 16 07:51:52 2021 commencing in-memory singleton removal
- Fri Apr 16 07:51:59 2021 begin with 101053965 relations and 86507725 unique ideals
- Fri Apr 16 07:52:38 2021 reduce to 100777916 relations and 82060296 ideals in 6 passes
- Fri Apr 16 07:52:38 2021 max relations containing the same ideal: 158
- Fri Apr 16 07:53:16 2021 removing 6133339 relations and 4133339 ideals in 2000000 cliques
- Fri Apr 16 07:53:20 2021 commencing in-memory singleton removal
- Fri Apr 16 07:53:26 2021 begin with 94644577 relations and 82060296 unique ideals
- Fri Apr 16 07:54:02 2021 reduce to 94359198 relations and 77636497 ideals in 6 passes
- Fri Apr 16 07:54:02 2021 max relations containing the same ideal: 152
- Fri Apr 16 07:54:39 2021 removing 6120009 relations and 4120009 ideals in 2000000 cliques
- Fri Apr 16 07:54:42 2021 commencing in-memory singleton removal
- Fri Apr 16 07:54:48 2021 begin with 88239189 relations and 77636497 unique ideals
- Fri Apr 16 07:55:21 2021 reduce to 87939069 relations and 73210598 ideals in 6 passes
- Fri Apr 16 07:55:21 2021 max relations containing the same ideal: 147
- Fri Apr 16 07:55:55 2021 removing 6123868 relations and 4123868 ideals in 2000000 cliques
- Fri Apr 16 07:55:58 2021 commencing in-memory singleton removal
- Fri Apr 16 07:56:04 2021 begin with 81815201 relations and 73210598 unique ideals
- Fri Apr 16 07:56:40 2021 reduce to 81494906 relations and 68759887 ideals in 7 passes
- Fri Apr 16 07:56:40 2021 max relations containing the same ideal: 139
- Fri Apr 16 07:57:12 2021 removing 6145844 relations and 4145844 ideals in 2000000 cliques
- Fri Apr 16 07:57:15 2021 commencing in-memory singleton removal
- Fri Apr 16 07:57:20 2021 begin with 75349062 relations and 68759887 unique ideals
- Fri Apr 16 07:57:52 2021 reduce to 75002573 relations and 64260197 ideals in 7 passes
- Fri Apr 16 07:57:52 2021 max relations containing the same ideal: 133
- Fri Apr 16 07:58:23 2021 removing 6185308 relations and 4185308 ideals in 2000000 cliques
- Fri Apr 16 07:58:25 2021 commencing in-memory singleton removal
- Fri Apr 16 07:58:30 2021 begin with 68817265 relations and 64260197 unique ideals
- Fri Apr 16 07:58:59 2021 reduce to 68437108 relations and 59685829 ideals in 7 passes
- Fri Apr 16 07:58:59 2021 max relations containing the same ideal: 124
- Fri Apr 16 07:59:26 2021 removing 6244534 relations and 4244534 ideals in 2000000 cliques
- Fri Apr 16 07:59:29 2021 commencing in-memory singleton removal
- Fri Apr 16 07:59:33 2021 begin with 62192574 relations and 59685829 unique ideals
- Fri Apr 16 07:59:59 2021 reduce to 61768921 relations and 55006829 ideals in 7 passes
- Fri Apr 16 07:59:59 2021 max relations containing the same ideal: 115
- Fri Apr 16 08:00:24 2021 removing 6324791 relations and 4324791 ideals in 2000000 cliques
- Fri Apr 16 08:00:27 2021 commencing in-memory singleton removal
- Fri Apr 16 08:00:30 2021 begin with 55444130 relations and 55006829 unique ideals
- Fri Apr 16 08:00:53 2021 reduce to 54962080 relations and 50186341 ideals in 7 passes
- Fri Apr 16 08:00:53 2021 max relations containing the same ideal: 104
- Fri Apr 16 08:01:16 2021 removing 6425352 relations and 4425352 ideals in 2000000 cliques
- Fri Apr 16 08:01:18 2021 commencing in-memory singleton removal
- Fri Apr 16 08:01:21 2021 begin with 48536728 relations and 50186341 unique ideals
- Fri Apr 16 08:01:44 2021 reduce to 47976455 relations and 45183592 ideals in 8 passes
- Fri Apr 16 08:01:44 2021 max relations containing the same ideal: 97
- Fri Apr 16 08:02:04 2021 removing 6122964 relations and 4282725 ideals in 1840239 cliques
- Fri Apr 16 08:02:06 2021 commencing in-memory singleton removal
- Fri Apr 16 08:02:09 2021 begin with 41853491 relations and 45183592 unique ideals
- Fri Apr 16 08:02:31 2021 reduce to 41266814 relations and 40294921 ideals in 9 passes
- Fri Apr 16 08:02:31 2021 max relations containing the same ideal: 90
- Fri Apr 16 08:02:48 2021 removing 137099 relations and 117830 ideals in 19269 cliques
- Fri Apr 16 08:02:49 2021 commencing in-memory singleton removal
- Fri Apr 16 08:02:52 2021 begin with 41129715 relations and 40294921 unique ideals
- Fri Apr 16 08:03:03 2021 reduce to 41129378 relations and 40176754 ideals in 5 passes
- Fri Apr 16 08:03:03 2021 max relations containing the same ideal: 90
- Fri Apr 16 08:03:09 2021 relations with 0 large ideals: 28438
- Fri Apr 16 08:03:09 2021 relations with 1 large ideals: 7437
- Fri Apr 16 08:03:09 2021 relations with 2 large ideals: 109338
- Fri Apr 16 08:03:09 2021 relations with 3 large ideals: 787786
- Fri Apr 16 08:03:09 2021 relations with 4 large ideals: 3077104
- Fri Apr 16 08:03:09 2021 relations with 5 large ideals: 7207453
- Fri Apr 16 08:03:09 2021 relations with 6 large ideals: 10603404
- Fri Apr 16 08:03:09 2021 relations with 7+ large ideals: 19308418
- Fri Apr 16 08:03:09 2021 commencing 2-way merge
- Fri Apr 16 08:03:33 2021 reduce to 27461445 relation sets and 26508821 unique ideals
- Fri Apr 16 08:03:33 2021 commencing full merge
- Fri Apr 16 08:23:55 2021 memory use: 1228.5 MB
- Fri Apr 16 08:23:55 2021 found 47641 cycles, need 5840793
- Fri Apr 16 08:23:55 2021 too few cycles, matrix probably cannot build
- Fri Apr 16 08:23:55 2021 filtering wants 1000000 more relations
- Fri Apr 16 08:23:55 2021 elapsed time 01:56:42
- Fri Apr 16 09:00:45 2021
- Fri Apr 16 09:00:45 2021
- Fri Apr 16 09:00:45 2021 Msieve v. 1.54 (SVN 1040M)
- Fri Apr 16 09:00:45 2021 random seeds: e86d5834 af929953
- Fri Apr 16 09:00:45 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
- Fri Apr 16 09:00:46 2021 searching for 15-digit factors
- Fri Apr 16 09:00:46 2021 commencing number field sieve (222-digit input)
- Fri Apr 16 09:00:46 2021 R0: 14697715679690864505827555550150426126974976
- Fri Apr 16 09:00:46 2021 R1: -9094947017729282379150390625
- Fri Apr 16 09:00:46 2021 A0: -12
- Fri Apr 16 09:00:46 2021 A1: 0
- Fri Apr 16 09:00:46 2021 A2: 0
- Fri Apr 16 09:00:46 2021 A3: 0
- Fri Apr 16 09:00:46 2021 A4: 0
- Fri Apr 16 09:00:46 2021 A5: 0
- Fri Apr 16 09:00:46 2021 A6: 5
- Fri Apr 16 09:00:46 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
- Fri Apr 16 09:00:58 2021
- Fri Apr 16 09:00:58 2021
- Fri Apr 16 09:00:58 2021 Msieve v. 1.54 (SVN 1040M)
- Fri Apr 16 09:00:58 2021 random seeds: ea4058ba c2c8a945
- Fri Apr 16 09:00:58 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
- Fri Apr 16 09:00:58 2021 searching for 15-digit factors
- Fri Apr 16 09:00:59 2021 commencing number field sieve (222-digit input)
- Fri Apr 16 09:00:59 2021 R0: 14697715679690864505827555550150426126974976
- Fri Apr 16 09:00:59 2021 R1: -9094947017729282379150390625
- Fri Apr 16 09:00:59 2021 A0: -12
- Fri Apr 16 09:00:59 2021 A1: 0
- Fri Apr 16 09:00:59 2021 A2: 0
- Fri Apr 16 09:00:59 2021 A3: 0
- Fri Apr 16 09:00:59 2021 A4: 0
- Fri Apr 16 09:00:59 2021 A5: 0
- Fri Apr 16 09:00:59 2021 A6: 5
- Fri Apr 16 09:00:59 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
- Fri Apr 16 09:00:59 2021
- Fri Apr 16 09:00:59 2021 commencing relation filtering
- Fri Apr 16 09:00:59 2021 setting target matrix density to 126.0
- Fri Apr 16 09:00:59 2021 estimated available RAM is 32768.0 MB
- Fri Apr 16 09:00:59 2021 commencing duplicate removal, pass 1
- Fri Apr 16 09:05:34 2021 error -5 reading relation 46818519
- Fri Apr 16 09:07:26 2021 error -15 reading relation 65671005
- Fri Apr 16 09:07:27 2021 error -15 reading relation 65888423
- Fri Apr 16 09:11:08 2021 error -15 reading relation 103221242
- Fri Apr 16 09:11:19 2021 error -15 reading relation 105024791
- Fri Apr 16 09:12:22 2021 error -15 reading relation 115673668
- Fri Apr 16 09:18:24 2021 error -15 reading relation 176532554
- Fri Apr 16 09:22:12 2021 skipped 711 relations with b > 2^32
- Fri Apr 16 09:22:12 2021 skipped 2 relations with composite factors
- Fri Apr 16 09:22:12 2021 found 10082546 hash collisions in 214913260 relations
- Fri Apr 16 09:22:23 2021 added 1218252 free relations
- Fri Apr 16 09:22:23 2021 commencing duplicate removal, pass 2
- Fri Apr 16 09:31:28 2021 found 0 duplicates and 216131512 unique relations
- Fri Apr 16 09:31:28 2021 memory use: 756.8 MB
- Fri Apr 16 09:31:28 2021 reading ideals above 159973376
- Fri Apr 16 09:31:28 2021 commencing singleton removal, initial pass
- Fri Apr 16 09:47:05 2021 memory use: 5512.0 MB
- Fri Apr 16 09:47:06 2021 reading all ideals from disk
- Fri Apr 16 09:48:38 2021 memory use: 3900.9 MB
- Fri Apr 16 09:48:45 2021 commencing in-memory singleton removal
- Fri Apr 16 09:48:53 2021 begin with 216131512 relations and 167489454 unique ideals
- Fri Apr 16 09:50:18 2021 reduce to 161410319 relations and 108602826 ideals in 15 passes
- Fri Apr 16 09:50:18 2021 max relations containing the same ideal: 50
- Fri Apr 16 09:50:37 2021 reading ideals above 720000
- Fri Apr 16 09:50:37 2021 commencing singleton removal, initial pass
- Fri Apr 16 10:06:17 2021 memory use: 3012.0 MB
- Fri Apr 16 10:06:18 2021 reading all ideals from disk
- Fri Apr 16 10:08:54 2021 memory use: 6628.3 MB
- Fri Apr 16 10:09:09 2021 keeping 125712372 ideals with weight <= 200, target excess is 831143
- Fri Apr 16 10:09:24 2021 commencing in-memory singleton removal
- Fri Apr 16 10:09:36 2021 begin with 161410319 relations and 125712372 unique ideals
- Fri Apr 16 10:10:29 2021 reduce to 161409719 relations and 125711772 ideals in 5 passes
- Fri Apr 16 10:10:29 2021 max relations containing the same ideal: 200
- Fri Apr 16 10:11:29 2021 removing 9784397 relations and 7784397 ideals in 2000000 cliques
- Fri Apr 16 10:11:34 2021 commencing in-memory singleton removal
- Fri Apr 16 10:11:45 2021 begin with 151625322 relations and 125711772 unique ideals
- Fri Apr 16 10:13:05 2021 reduce to 151138245 relations and 117432364 ideals in 8 passes
- Fri Apr 16 10:13:05 2021 max relations containing the same ideal: 199
- Fri Apr 16 10:14:02 2021 removing 7572487 relations and 5572487 ideals in 2000000 cliques
- Fri Apr 16 10:14:06 2021 commencing in-memory singleton removal
- Fri Apr 16 10:14:17 2021 begin with 143565758 relations and 117432364 unique ideals
- Fri Apr 16 10:15:24 2021 reduce to 143239689 relations and 111529166 ideals in 7 passes
- Fri Apr 16 10:15:24 2021 max relations containing the same ideal: 194
- Fri Apr 16 10:16:18 2021 removing 6924889 relations and 4924889 ideals in 2000000 cliques
- Fri Apr 16 10:16:22 2021 commencing in-memory singleton removal
- Fri Apr 16 10:16:32 2021 begin with 136314800 relations and 111529166 unique ideals
- Fri Apr 16 10:17:26 2021 reduce to 136027957 relations and 106313540 ideals in 6 passes
- Fri Apr 16 10:17:26 2021 max relations containing the same ideal: 189
- Fri Apr 16 10:18:17 2021 removing 6601715 relations and 4601715 ideals in 2000000 cliques
- Fri Apr 16 10:18:21 2021 commencing in-memory singleton removal
- Fri Apr 16 10:18:31 2021 begin with 129426242 relations and 106313540 unique ideals
- Fri Apr 16 10:19:22 2021 reduce to 129159122 relations and 101440963 ideals in 6 passes
- Fri Apr 16 10:19:22 2021 max relations containing the same ideal: 182
- Fri Apr 16 10:20:11 2021 removing 6400136 relations and 4400136 ideals in 2000000 cliques
- Fri Apr 16 10:20:15 2021 commencing in-memory singleton removal
- Fri Apr 16 10:20:24 2021 begin with 122758986 relations and 101440963 unique ideals
- Fri Apr 16 10:21:12 2021 reduce to 122497757 relations and 96775734 ideals in 6 passes
- Fri Apr 16 10:21:12 2021 max relations containing the same ideal: 179
- Fri Apr 16 10:21:59 2021 removing 6267652 relations and 4267652 ideals in 2000000 cliques
- Fri Apr 16 10:22:02 2021 commencing in-memory singleton removal
- Fri Apr 16 10:22:10 2021 begin with 116230105 relations and 96775734 unique ideals
- Fri Apr 16 10:23:03 2021 reduce to 115973651 relations and 92247768 ideals in 7 passes
- Fri Apr 16 10:23:04 2021 max relations containing the same ideal: 172
- Fri Apr 16 10:23:48 2021 removing 6177119 relations and 4177119 ideals in 2000000 cliques
- Fri Apr 16 10:23:51 2021 commencing in-memory singleton removal
- Fri Apr 16 10:23:59 2021 begin with 109796532 relations and 92247768 unique ideals
- Fri Apr 16 10:24:48 2021 reduce to 109537360 relations and 87807441 ideals in 7 passes
- Fri Apr 16 10:24:48 2021 max relations containing the same ideal: 166
- Fri Apr 16 10:25:31 2021 removing 6116434 relations and 4116434 ideals in 2000000 cliques
- Fri Apr 16 10:25:34 2021 commencing in-memory singleton removal
- Fri Apr 16 10:25:41 2021 begin with 103420926 relations and 87807441 unique ideals
- Fri Apr 16 10:26:27 2021 reduce to 103155884 relations and 83421505 ideals in 7 passes
- Fri Apr 16 10:26:27 2021 max relations containing the same ideal: 159
- Fri Apr 16 10:27:07 2021 removing 6079443 relations and 4079443 ideals in 2000000 cliques
- Fri Apr 16 10:27:11 2021 commencing in-memory singleton removal
- Fri Apr 16 10:27:17 2021 begin with 97076441 relations and 83421505 unique ideals
- Fri Apr 16 10:27:55 2021 reduce to 96802398 relations and 79063223 ideals in 6 passes
- Fri Apr 16 10:27:55 2021 max relations containing the same ideal: 153
- Fri Apr 16 10:28:32 2021 removing 6063900 relations and 4063900 ideals in 2000000 cliques
- Fri Apr 16 10:28:35 2021 commencing in-memory singleton removal
- Fri Apr 16 10:28:41 2021 begin with 90738498 relations and 79063223 unique ideals
- Fri Apr 16 10:29:16 2021 reduce to 90451423 relations and 74706828 ideals in 6 passes
- Fri Apr 16 10:29:16 2021 max relations containing the same ideal: 147
- Fri Apr 16 10:29:52 2021 removing 6062900 relations and 4062900 ideals in 2000000 cliques
- Fri Apr 16 10:29:55 2021 commencing in-memory singleton removal
- Fri Apr 16 10:30:00 2021 begin with 84388523 relations and 74706828 unique ideals
- Fri Apr 16 10:30:32 2021 reduce to 84083404 relations and 70332772 ideals in 6 passes
- Fri Apr 16 10:30:32 2021 max relations containing the same ideal: 143
- Fri Apr 16 10:31:05 2021 removing 6079835 relations and 4079835 ideals in 2000000 cliques
- Fri Apr 16 10:31:08 2021 commencing in-memory singleton removal
- Fri Apr 16 10:31:13 2021 begin with 78003569 relations and 70332772 unique ideals
- Fri Apr 16 10:31:48 2021 reduce to 77675342 relations and 65917842 ideals in 7 passes
- Fri Apr 16 10:31:48 2021 max relations containing the same ideal: 133
- Fri Apr 16 10:32:19 2021 removing 6111548 relations and 4111548 ideals in 2000000 cliques
- Fri Apr 16 10:32:21 2021 commencing in-memory singleton removal
- Fri Apr 16 10:32:26 2021 begin with 71563794 relations and 65917842 unique ideals
- Fri Apr 16 10:32:57 2021 reduce to 71205892 relations and 61440330 ideals in 7 passes
- Fri Apr 16 10:32:57 2021 max relations containing the same ideal: 124
- Fri Apr 16 10:33:26 2021 removing 6167980 relations and 4167980 ideals in 2000000 cliques
- Fri Apr 16 10:33:29 2021 commencing in-memory singleton removal
- Fri Apr 16 10:33:33 2021 begin with 65037912 relations and 61440330 unique ideals
- Fri Apr 16 10:34:01 2021 reduce to 64642685 relations and 56867413 ideals in 7 passes
- Fri Apr 16 10:34:01 2021 max relations containing the same ideal: 119
- Fri Apr 16 10:34:27 2021 removing 6238281 relations and 4238281 ideals in 2000000 cliques
- Fri Apr 16 10:34:30 2021 commencing in-memory singleton removal
- Fri Apr 16 10:34:34 2021 begin with 58404404 relations and 56867413 unique ideals
- Fri Apr 16 10:35:02 2021 reduce to 57958203 relations and 52171062 ideals in 8 passes
- Fri Apr 16 10:35:02 2021 max relations containing the same ideal: 111
- Fri Apr 16 10:35:26 2021 removing 6325876 relations and 4325876 ideals in 2000000 cliques
- Fri Apr 16 10:35:29 2021 commencing in-memory singleton removal
- Fri Apr 16 10:35:32 2021 begin with 51632327 relations and 52171062 unique ideals
- Fri Apr 16 10:35:57 2021 reduce to 51120919 relations and 47318788 ideals in 8 passes
- Fri Apr 16 10:35:57 2021 max relations containing the same ideal: 100
- Fri Apr 16 10:36:18 2021 removing 6440965 relations and 4440965 ideals in 2000000 cliques
- Fri Apr 16 10:36:21 2021 commencing in-memory singleton removal
- Fri Apr 16 10:36:24 2021 begin with 44679954 relations and 47318788 unique ideals
- Fri Apr 16 10:36:42 2021 reduce to 44076983 relations and 42254876 ideals in 7 passes
- Fri Apr 16 10:36:42 2021 max relations containing the same ideal: 91
- Fri Apr 16 10:37:00 2021 removing 3340194 relations and 2482213 ideals in 857981 cliques
- Fri Apr 16 10:37:02 2021 commencing in-memory singleton removal
- Fri Apr 16 10:37:05 2021 begin with 40736789 relations and 42254876 unique ideals
- Fri Apr 16 10:37:21 2021 reduce to 40551810 relations and 39584636 ideals in 7 passes
- Fri Apr 16 10:37:21 2021 max relations containing the same ideal: 84
- Fri Apr 16 10:37:42 2021 relations with 0 large ideals: 28793
- Fri Apr 16 10:37:42 2021 relations with 1 large ideals: 7731
- Fri Apr 16 10:37:42 2021 relations with 2 large ideals: 112748
- Fri Apr 16 10:37:42 2021 relations with 3 large ideals: 805327
- Fri Apr 16 10:37:42 2021 relations with 4 large ideals: 3112391
- Fri Apr 16 10:37:42 2021 relations with 5 large ideals: 7211399
- Fri Apr 16 10:37:42 2021 relations with 6 large ideals: 10495496
- Fri Apr 16 10:37:42 2021 relations with 7+ large ideals: 18777925
- Fri Apr 16 10:37:42 2021 commencing 2-way merge
- Fri Apr 16 10:38:06 2021 reduce to 27170805 relation sets and 26203631 unique ideals
- Fri Apr 16 10:38:06 2021 commencing full merge
- Fri Apr 16 10:48:29 2021 memory use: 3679.7 MB
- Fri Apr 16 10:48:36 2021 found 12173756 cycles, need 12149831
- Fri Apr 16 10:48:36 2021 weight of 12149831 cycles is about 1531285399 (126.03/cycle)
- Fri Apr 16 10:48:36 2021 distribution of cycle lengths:
- Fri Apr 16 10:48:36 2021 1 relations: 504001
- Fri Apr 16 10:48:36 2021 2 relations: 713470
- Fri Apr 16 10:48:36 2021 3 relations: 816097
- Fri Apr 16 10:48:36 2021 4 relations: 843102
- Fri Apr 16 10:48:36 2021 5 relations: 861998
- Fri Apr 16 10:48:36 2021 6 relations: 856195
- Fri Apr 16 10:48:36 2021 7 relations: 842936
- Fri Apr 16 10:48:36 2021 8 relations: 815909
- Fri Apr 16 10:48:36 2021 9 relations: 774920
- Fri Apr 16 10:48:36 2021 10+ relations: 5121203
- Fri Apr 16 10:48:36 2021 heaviest cycle: 28 relations
- Fri Apr 16 10:48:42 2021 commencing cycle optimization
- Fri Apr 16 10:49:09 2021 start with 111519326 relations
- Fri Apr 16 10:53:55 2021 pruned 5765498 relations
- Fri Apr 16 10:53:55 2021 memory use: 2830.0 MB
- Fri Apr 16 10:53:55 2021 distribution of cycle lengths:
- Fri Apr 16 10:53:55 2021 1 relations: 504001
- Fri Apr 16 10:53:55 2021 2 relations: 731645
- Fri Apr 16 10:53:55 2021 3 relations: 852455
- Fri Apr 16 10:53:55 2021 4 relations: 881250
- Fri Apr 16 10:53:55 2021 5 relations: 909228
- Fri Apr 16 10:53:55 2021 6 relations: 902665
- Fri Apr 16 10:53:55 2021 7 relations: 893333
- Fri Apr 16 10:53:55 2021 8 relations: 861913
- Fri Apr 16 10:53:55 2021 9 relations: 818931
- Fri Apr 16 10:53:55 2021 10+ relations: 4794410
- Fri Apr 16 10:53:55 2021 heaviest cycle: 28 relations
- Fri Apr 16 10:54:33 2021 RelProcTime: 6814
- Fri Apr 16 10:54:33 2021
- Fri Apr 16 10:54:33 2021 commencing linear algebra
- Fri Apr 16 10:54:35 2021 read 12149831 cycles
- Fri Apr 16 10:55:01 2021 cycles contain 40055605 unique relations
- Fri Apr 16 11:04:17 2021 read 40055605 relations
- Fri Apr 16 11:05:55 2021 using 20 quadratic characters above 4294917295
- Fri Apr 16 11:08:19 2021 building initial matrix
- Fri Apr 16 11:15:38 2021 memory use: 5305.0 MB
- Fri Apr 16 11:18:07 2021 read 12149831 cycles
- Fri Apr 16 11:18:08 2021 matrix is 12149654 x 12149831 (5910.6 MB) with weight 1710068664 (140.75/col)
- Fri Apr 16 11:18:08 2021 sparse part has weight 1415772240 (116.53/col)
- Fri Apr 16 11:20:21 2021 filtering completed in 2 passes
- Fri Apr 16 11:20:22 2021 matrix is 12149582 x 12149759 (5910.6 MB) with weight 1710065865 (140.75/col)
- Fri Apr 16 11:20:22 2021 sparse part has weight 1415771221 (116.53/col)
- Fri Apr 16 11:23:12 2021 matrix starts at (0, 0)
- Fri Apr 16 11:23:13 2021 matrix is 12149582 x 12149759 (5910.6 MB) with weight 1710065865 (140.75/col)
- Fri Apr 16 11:23:13 2021 sparse part has weight 1415771221 (116.53/col)
- Fri Apr 16 11:23:13 2021 saving the first 48 matrix rows for later
- Fri Apr 16 11:23:15 2021 matrix includes 64 packed rows
- Fri Apr 16 11:23:16 2021 matrix is 12149534 x 12149759 (5671.3 MB) with weight 1470976109 (121.07/col)
- Fri Apr 16 11:23:16 2021 sparse part has weight 1365208651 (112.37/col)
- Fri Apr 16 11:23:16 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Fri Apr 16 11:24:01 2021 commencing Lanczos iteration (16 threads)
- Fri Apr 16 11:24:01 2021 memory use: 5433.0 MB
- Fri Apr 16 11:24:16 2021 linear algebra at 0.0%, ETA 31h12m
- Fri Apr 16 11:24:21 2021 checkpointing every 390000 dimensions
- Fri Apr 16 15:38:55 2021
- Fri Apr 16 15:38:55 2021
- Fri Apr 16 15:38:55 2021 Msieve v. 1.54 (SVN 1040M)
- Fri Apr 16 15:38:55 2021 random seeds: 8d18c566 2eb621e4
- Fri Apr 16 15:38:55 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
- Fri Apr 16 15:38:56 2021 searching for 15-digit factors
- Fri Apr 16 15:38:56 2021 commencing number field sieve (222-digit input)
- Fri Apr 16 15:38:56 2021 R0: 14697715679690864505827555550150426126974976
- Fri Apr 16 15:38:56 2021 R1: -9094947017729282379150390625
- Fri Apr 16 15:38:56 2021 A0: -12
- Fri Apr 16 15:38:56 2021 A1: 0
- Fri Apr 16 15:38:56 2021 A2: 0
- Fri Apr 16 15:38:56 2021 A3: 0
- Fri Apr 16 15:38:56 2021 A4: 0
- Fri Apr 16 15:38:56 2021 A5: 0
- Fri Apr 16 15:38:56 2021 A6: 5
- Fri Apr 16 15:38:56 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
- Fri Apr 16 15:38:56 2021
- Fri Apr 16 15:38:56 2021 commencing linear algebra
- Fri Apr 16 15:41:08 2021 matrix starts at (0, 0)
- Fri Apr 16 15:41:09 2021 matrix is 12149582 x 12149759 (5910.6 MB) with weight 1710065865 (140.75/col)
- Fri Apr 16 15:41:09 2021 sparse part has weight 1415771221 (116.53/col)
- Fri Apr 16 15:41:09 2021 saving the first 48 matrix rows for later
- Fri Apr 16 15:41:11 2021 matrix includes 64 packed rows
- Fri Apr 16 15:41:12 2021 matrix is 12149534 x 12149759 (5671.3 MB) with weight 1470976109 (121.07/col)
- Fri Apr 16 15:41:12 2021 sparse part has weight 1365208651 (112.37/col)
- Fri Apr 16 15:41:12 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
- Fri Apr 16 15:41:56 2021 commencing Lanczos iteration (16 threads)
- Fri Apr 16 15:41:56 2021 memory use: 5433.0 MB
- Fri Apr 16 15:42:07 2021 restarting at iteration 12333 (dim = 780002)
- Fri Apr 16 15:42:21 2021 linear algebra at 6.4%, ETA 29h 7m
- Fri Apr 16 15:42:25 2021 checkpointing every 410000 dimensions
- Sat Apr 17 20:36:03 2021 lanczos halted after 192131 iterations (dim = 12149534)
- Sat Apr 17 20:36:11 2021 recovered 41 nontrivial dependencies
- Sat Apr 17 20:36:16 2021 BLanczosTime: 104240
- Sat Apr 17 20:36:16 2021
- Sat Apr 17 20:36:16 2021 commencing square root phase
- Sat Apr 17 20:36:16 2021 reading relations for dependency 1
- Sat Apr 17 20:36:26 2021 read 6076819 cycles
- Sat Apr 17 20:36:39 2021 cycles contain 20030700 unique relations
- Sat Apr 17 20:45:52 2021 read 20030700 relations
- Sat Apr 17 20:47:12 2021 multiplying 20030700 relations
- Sat Apr 17 20:59:15 2021 multiply complete, coefficients have about 569.97 million bits
- Sat Apr 17 20:59:17 2021 initial square root is modulo 129919
- Sat Apr 17 21:11:04 2021 sqrtTime: 2088
- Sat Apr 17 21:11:04 2021 p66 factor: 411580637283005215946023556288045458275149969844695794423538799829
- Sat Apr 17 21:11:04 2021 p157 factor: 2336574231613399299059342415940810292141164166326604984144654429906565155225797062728265666368856234360409986894087271076132282183037550559109301689277886443
- Sat Apr 17 21:11:04 2021 elapsed time 29:32:09
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