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- Sun Jul 10 10:32:28 2022
- Sun Jul 10 10:32:28 2022
- Sun Jul 10 10:32:28 2022 Msieve v. 1.53 (SVN 988M)
- Sun Jul 10 10:32:28 2022 random seeds: 75e9f21b f38c5b98
- Sun Jul 10 10:32:28 2022 factoring 530698062438106042702304513915323586828542657513779708967804089132311039883969719202975967867147607310001913694606142527084444719614412762299324043474221628814141529924798096326709056191171505111637961545730566076506297141 (222 digits)
- Sun Jul 10 10:32:29 2022 searching for 15-digit factors
- Sun Jul 10 10:32:30 2022 commencing number field sieve (222-digit input)
- Sun Jul 10 10:32:30 2022 R0: -78551672112789411833022577315290546060373041
- Sun Jul 10 10:32:30 2022 R1: 70368744177664
- Sun Jul 10 10:32:30 2022 A0: 2
- Sun Jul 10 10:32:30 2022 A1: 0
- Sun Jul 10 10:32:30 2022 A2: 0
- Sun Jul 10 10:32:30 2022 A3: -6
- Sun Jul 10 10:32:30 2022 A4: 0
- Sun Jul 10 10:32:30 2022 A5: 0
- Sun Jul 10 10:32:30 2022 A6: 9
- Sun Jul 10 10:32:30 2022 skew 0.78, size 5.329e-13, alpha 1.185, combined = 7.199e-14 rroots = 0
- Sun Jul 10 10:32:30 2022
- Sun Jul 10 10:32:30 2022 commencing relation filtering
- Sun Jul 10 10:32:30 2022 setting target matrix density to 120.0
- Sun Jul 10 10:32:30 2022 estimated available RAM is 32768.0 MB
- Sun Jul 10 10:32:30 2022 commencing duplicate removal, pass 1
- Sun Jul 10 10:34:55 2022 error -11 reading relation 24616455
- Sun Jul 10 10:50:49 2022 skipped 1132 relations with b > 2^32
- Sun Jul 10 10:50:49 2022 skipped 3 relations with composite factors
- Sun Jul 10 10:50:49 2022 found 7510957 hash collisions in 184789893 relations
- Sun Jul 10 10:51:00 2022 added 1218686 free relations
- Sun Jul 10 10:51:00 2022 commencing duplicate removal, pass 2
- Sun Jul 10 10:51:40 2022 found 0 duplicates and 186008579 unique relations
- Sun Jul 10 10:51:40 2022 memory use: 522.4 MB
- Sun Jul 10 10:51:40 2022 reading ideals above 137560064
- Sun Jul 10 10:51:40 2022 commencing singleton removal, initial pass
- Sun Jul 10 11:05:19 2022 memory use: 3012.0 MB
- Sun Jul 10 11:05:19 2022 reading all ideals from disk
- Sun Jul 10 11:05:21 2022 memory use: 3620.4 MB
- Sun Jul 10 11:05:28 2022 commencing in-memory singleton removal
- Sun Jul 10 11:05:34 2022 begin with 186008579 relations and 163491423 unique ideals
- Sun Jul 10 11:07:00 2022 reduce to 118806773 relations and 89420486 ideals in 16 passes
- Sun Jul 10 11:07:00 2022 max relations containing the same ideal: 43
- Sun Jul 10 11:07:09 2022 reading ideals above 720000
- Sun Jul 10 11:07:10 2022 commencing singleton removal, initial pass
- Sun Jul 10 11:18:51 2022 memory use: 2756.0 MB
- Sun Jul 10 11:18:52 2022 reading all ideals from disk
- Sun Jul 10 11:18:55 2022 memory use: 4934.2 MB
- Sun Jul 10 11:19:05 2022 keeping 104348361 ideals with weight <= 200, target excess is 636208
- Sun Jul 10 11:19:16 2022 commencing in-memory singleton removal
- Sun Jul 10 11:19:24 2022 begin with 118806773 relations and 104348361 unique ideals
- Sun Jul 10 11:20:15 2022 reduce to 118805910 relations and 104347498 ideals in 6 passes
- Sun Jul 10 11:20:15 2022 max relations containing the same ideal: 200
- Sun Jul 10 11:21:02 2022 removing 11935597 relations and 9935597 ideals in 2000000 cliques
- Sun Jul 10 11:21:06 2022 commencing in-memory singleton removal
- Sun Jul 10 11:21:13 2022 begin with 106870313 relations and 104347498 unique ideals
- Sun Jul 10 11:22:23 2022 reduce to 105883836 relations and 93403883 ideals in 9 passes
- Sun Jul 10 11:22:23 2022 max relations containing the same ideal: 194
- Sun Jul 10 11:23:05 2022 removing 9187686 relations and 7187686 ideals in 2000000 cliques
- Sun Jul 10 11:23:08 2022 commencing in-memory singleton removal
- Sun Jul 10 11:23:15 2022 begin with 96696150 relations and 93403883 unique ideals
- Sun Jul 10 11:24:04 2022 reduce to 96028336 relations and 85535462 ideals in 7 passes
- Sun Jul 10 11:24:04 2022 max relations containing the same ideal: 183
- Sun Jul 10 11:24:42 2022 removing 8365697 relations and 6365697 ideals in 2000000 cliques
- Sun Jul 10 11:24:45 2022 commencing in-memory singleton removal
- Sun Jul 10 11:24:51 2022 begin with 87662639 relations and 85535462 unique ideals
- Sun Jul 10 11:25:41 2022 reduce to 87058354 relations and 78553672 ideals in 8 passes
- Sun Jul 10 11:25:41 2022 max relations containing the same ideal: 174
- Sun Jul 10 11:26:17 2022 removing 7974767 relations and 5974767 ideals in 2000000 cliques
- Sun Jul 10 11:26:19 2022 commencing in-memory singleton removal
- Sun Jul 10 11:26:25 2022 begin with 79083587 relations and 78553672 unique ideals
- Sun Jul 10 11:27:09 2022 reduce to 78489861 relations and 71972772 ideals in 8 passes
- Sun Jul 10 11:27:09 2022 max relations containing the same ideal: 165
- Sun Jul 10 11:27:41 2022 removing 7753709 relations and 5753709 ideals in 2000000 cliques
- Sun Jul 10 11:27:44 2022 commencing in-memory singleton removal
- Sun Jul 10 11:27:48 2022 begin with 70736152 relations and 71972772 unique ideals
- Sun Jul 10 11:28:28 2022 reduce to 70123819 relations and 65592686 ideals in 8 passes
- Sun Jul 10 11:28:28 2022 max relations containing the same ideal: 150
- Sun Jul 10 11:28:58 2022 removing 7627104 relations and 5627104 ideals in 2000000 cliques
- Sun Jul 10 11:29:00 2022 commencing in-memory singleton removal
- Sun Jul 10 11:29:04 2022 begin with 62496715 relations and 65592686 unique ideals
- Sun Jul 10 11:29:39 2022 reduce to 61843141 relations and 59295661 ideals in 8 passes
- Sun Jul 10 11:29:39 2022 max relations containing the same ideal: 138
- Sun Jul 10 11:30:05 2022 removing 6986407 relations and 5176929 ideals in 1809478 cliques
- Sun Jul 10 11:30:07 2022 commencing in-memory singleton removal
- Sun Jul 10 11:30:10 2022 begin with 54856734 relations and 59295661 unique ideals
- Sun Jul 10 11:30:41 2022 reduce to 54247425 relations and 53494052 ideals in 8 passes
- Sun Jul 10 11:30:41 2022 max relations containing the same ideal: 127
- Sun Jul 10 11:31:04 2022 removing 127959 relations and 112588 ideals in 15371 cliques
- Sun Jul 10 11:31:05 2022 commencing in-memory singleton removal
- Sun Jul 10 11:31:08 2022 begin with 54119466 relations and 53494052 unique ideals
- Sun Jul 10 11:31:23 2022 reduce to 54119312 relations and 53381310 ideals in 4 passes
- Sun Jul 10 11:31:23 2022 max relations containing the same ideal: 127
- Sun Jul 10 11:31:32 2022 relations with 0 large ideals: 24147
- Sun Jul 10 11:31:32 2022 relations with 1 large ideals: 4397
- Sun Jul 10 11:31:32 2022 relations with 2 large ideals: 51664
- Sun Jul 10 11:31:32 2022 relations with 3 large ideals: 448687
- Sun Jul 10 11:31:32 2022 relations with 4 large ideals: 2152800
- Sun Jul 10 11:31:32 2022 relations with 5 large ideals: 6309767
- Sun Jul 10 11:31:32 2022 relations with 6 large ideals: 11773827
- Sun Jul 10 11:31:32 2022 relations with 7+ large ideals: 33354023
- Sun Jul 10 11:31:32 2022 commencing 2-way merge
- Sun Jul 10 11:32:03 2022 reduce to 35562565 relation sets and 34824563 unique ideals
- Sun Jul 10 11:32:03 2022 commencing full merge
- Sun Jul 10 12:00:08 2022 memory use: 1606.3 MB
- Sun Jul 10 12:00:09 2022 found 73336 cycles, need 7370408
- Sun Jul 10 12:00:09 2022 too few cycles, matrix probably cannot build
- Sun Jul 10 12:20:58 2022
- Sun Jul 10 12:20:58 2022
- Sun Jul 10 12:20:58 2022 Msieve v. 1.53 (SVN 988M)
- Sun Jul 10 12:20:58 2022 random seeds: 06fbaa86 f5206af6
- Sun Jul 10 12:20:58 2022 factoring 530698062438106042702304513915323586828542657513779708967804089132311039883969719202975967867147607310001913694606142527084444719614412762299324043474221628814141529924798096326709056191171505111637961545730566076506297141 (222 digits)
- Sun Jul 10 12:20:59 2022 searching for 15-digit factors
- Sun Jul 10 12:21:00 2022 commencing number field sieve (222-digit input)
- Sun Jul 10 12:21:00 2022 R0: -78551672112789411833022577315290546060373041
- Sun Jul 10 12:21:00 2022 R1: 70368744177664
- Sun Jul 10 12:21:00 2022 A0: 2
- Sun Jul 10 12:21:00 2022 A1: 0
- Sun Jul 10 12:21:00 2022 A2: 0
- Sun Jul 10 12:21:00 2022 A3: -6
- Sun Jul 10 12:21:00 2022 A4: 0
- Sun Jul 10 12:21:00 2022 A5: 0
- Sun Jul 10 12:21:00 2022 A6: 9
- Sun Jul 10 12:21:00 2022 skew 0.78, size 5.329e-13, alpha 1.185, combined = 7.199e-14 rroots = 0
- Sun Jul 10 12:21:00 2022
- Sun Jul 10 12:21:00 2022 commencing relation filtering
- Sun Jul 10 12:21:00 2022 setting target matrix density to 114.0
- Sun Jul 10 12:21:00 2022 estimated available RAM is 32768.0 MB
- Sun Jul 10 12:21:00 2022 commencing duplicate removal, pass 1
- Sun Jul 10 12:23:25 2022 error -11 reading relation 24616455
- Sun Jul 10 12:39:27 2022 skipped 1132 relations with b > 2^32
- Sun Jul 10 12:39:27 2022 skipped 3 relations with composite factors
- Sun Jul 10 12:39:27 2022 found 7607372 hash collisions in 186008579 relations
- Sun Jul 10 12:39:36 2022 commencing duplicate removal, pass 2
- Sun Jul 10 12:40:17 2022 found 0 duplicates and 186008579 unique relations
- Sun Jul 10 12:40:17 2022 memory use: 522.4 MB
- Sun Jul 10 12:40:17 2022 reading ideals above 137560064
- Sun Jul 10 12:40:17 2022 commencing singleton removal, initial pass
- Sun Jul 10 12:53:50 2022 memory use: 3012.0 MB
- Sun Jul 10 12:53:51 2022 reading all ideals from disk
- Sun Jul 10 12:53:53 2022 memory use: 3620.4 MB
- Sun Jul 10 12:54:00 2022 commencing in-memory singleton removal
- Sun Jul 10 12:54:06 2022 begin with 186008579 relations and 163491423 unique ideals
- Sun Jul 10 12:55:36 2022 reduce to 118806773 relations and 89420486 ideals in 16 passes
- Sun Jul 10 12:55:36 2022 max relations containing the same ideal: 43
- Sun Jul 10 12:55:46 2022 reading ideals above 720000
- Sun Jul 10 12:55:46 2022 commencing singleton removal, initial pass
- Sun Jul 10 13:07:28 2022 memory use: 2756.0 MB
- Sun Jul 10 13:07:28 2022 reading all ideals from disk
- Sun Jul 10 13:07:31 2022 memory use: 4934.2 MB
- Sun Jul 10 13:07:41 2022 keeping 104348361 ideals with weight <= 200, target excess is 636208
- Sun Jul 10 13:07:53 2022 commencing in-memory singleton removal
- Sun Jul 10 13:08:02 2022 begin with 118806773 relations and 104348361 unique ideals
- Sun Jul 10 13:08:56 2022 reduce to 118805910 relations and 104347498 ideals in 6 passes
- Sun Jul 10 13:08:56 2022 max relations containing the same ideal: 200
- Sun Jul 10 13:09:44 2022 removing 11935597 relations and 9935597 ideals in 2000000 cliques
- Sun Jul 10 13:09:47 2022 commencing in-memory singleton removal
- Sun Jul 10 13:09:55 2022 begin with 106870313 relations and 104347498 unique ideals
- Sun Jul 10 13:11:09 2022 reduce to 105883836 relations and 93403883 ideals in 9 passes
- Sun Jul 10 13:11:09 2022 max relations containing the same ideal: 194
- Sun Jul 10 13:11:52 2022 removing 9187686 relations and 7187686 ideals in 2000000 cliques
- Sun Jul 10 13:11:55 2022 commencing in-memory singleton removal
- Sun Jul 10 13:12:02 2022 begin with 96696150 relations and 93403883 unique ideals
- Sun Jul 10 13:12:53 2022 reduce to 96028336 relations and 85535462 ideals in 7 passes
- Sun Jul 10 13:12:53 2022 max relations containing the same ideal: 183
- Sun Jul 10 13:13:33 2022 removing 8365697 relations and 6365697 ideals in 2000000 cliques
- Sun Jul 10 13:13:36 2022 commencing in-memory singleton removal
- Sun Jul 10 13:13:42 2022 begin with 87662639 relations and 85535462 unique ideals
- Sun Jul 10 13:14:35 2022 reduce to 87058354 relations and 78553672 ideals in 8 passes
- Sun Jul 10 13:14:35 2022 max relations containing the same ideal: 174
- Sun Jul 10 13:15:11 2022 removing 7974767 relations and 5974767 ideals in 2000000 cliques
- Sun Jul 10 13:15:13 2022 commencing in-memory singleton removal
- Sun Jul 10 13:15:19 2022 begin with 79083587 relations and 78553672 unique ideals
- Sun Jul 10 13:16:06 2022 reduce to 78489861 relations and 71972772 ideals in 8 passes
- Sun Jul 10 13:16:06 2022 max relations containing the same ideal: 165
- Sun Jul 10 13:16:39 2022 removing 7753709 relations and 5753709 ideals in 2000000 cliques
- Sun Jul 10 13:16:41 2022 commencing in-memory singleton removal
- Sun Jul 10 13:16:46 2022 begin with 70736152 relations and 71972772 unique ideals
- Sun Jul 10 13:17:29 2022 reduce to 70123819 relations and 65592686 ideals in 8 passes
- Sun Jul 10 13:17:29 2022 max relations containing the same ideal: 150
- Sun Jul 10 13:17:58 2022 removing 7627104 relations and 5627104 ideals in 2000000 cliques
- Sun Jul 10 13:18:00 2022 commencing in-memory singleton removal
- Sun Jul 10 13:18:04 2022 begin with 62496715 relations and 65592686 unique ideals
- Sun Jul 10 13:18:41 2022 reduce to 61843141 relations and 59295661 ideals in 8 passes
- Sun Jul 10 13:18:41 2022 max relations containing the same ideal: 138
- Sun Jul 10 13:19:07 2022 removing 6986407 relations and 5176929 ideals in 1809478 cliques
- Sun Jul 10 13:19:09 2022 commencing in-memory singleton removal
- Sun Jul 10 13:19:13 2022 begin with 54856734 relations and 59295661 unique ideals
- Sun Jul 10 13:19:45 2022 reduce to 54247425 relations and 53494052 ideals in 8 passes
- Sun Jul 10 13:19:45 2022 max relations containing the same ideal: 127
- Sun Jul 10 13:20:08 2022 removing 127959 relations and 112588 ideals in 15371 cliques
- Sun Jul 10 13:20:09 2022 commencing in-memory singleton removal
- Sun Jul 10 13:20:13 2022 begin with 54119466 relations and 53494052 unique ideals
- Sun Jul 10 13:20:29 2022 reduce to 54119312 relations and 53381310 ideals in 4 passes
- Sun Jul 10 13:20:29 2022 max relations containing the same ideal: 127
- Sun Jul 10 13:20:37 2022 relations with 0 large ideals: 24147
- Sun Jul 10 13:20:37 2022 relations with 1 large ideals: 4397
- Sun Jul 10 13:20:37 2022 relations with 2 large ideals: 51664
- Sun Jul 10 13:20:37 2022 relations with 3 large ideals: 448687
- Sun Jul 10 13:20:37 2022 relations with 4 large ideals: 2152800
- Sun Jul 10 13:20:37 2022 relations with 5 large ideals: 6309767
- Sun Jul 10 13:20:37 2022 relations with 6 large ideals: 11773827
- Sun Jul 10 13:20:37 2022 relations with 7+ large ideals: 33354023
- Sun Jul 10 13:20:37 2022 commencing 2-way merge
- Sun Jul 10 13:21:10 2022 reduce to 35562565 relation sets and 34824563 unique ideals
- Sun Jul 10 13:21:10 2022 commencing full merge
- Sun Jul 10 13:35:07 2022 memory use: 4678.0 MB
- Sun Jul 10 13:35:16 2022 found 16360949 cycles, need 16344763
- Sun Jul 10 13:35:17 2022 weight of 16344763 cycles is about 1863873629 (114.03/cycle)
- Sun Jul 10 13:35:17 2022 distribution of cycle lengths:
- Sun Jul 10 13:35:17 2022 1 relations: 991510
- Sun Jul 10 13:35:17 2022 2 relations: 1223149
- Sun Jul 10 13:35:17 2022 3 relations: 1342637
- Sun Jul 10 13:35:17 2022 4 relations: 1325103
- Sun Jul 10 13:35:17 2022 5 relations: 1293978
- Sun Jul 10 13:35:17 2022 6 relations: 1239428
- Sun Jul 10 13:35:17 2022 7 relations: 1164799
- Sun Jul 10 13:35:17 2022 8 relations: 1085738
- Sun Jul 10 13:35:17 2022 9 relations: 996493
- Sun Jul 10 13:35:17 2022 10+ relations: 5681928
- Sun Jul 10 13:35:17 2022 heaviest cycle: 28 relations
- Sun Jul 10 13:35:25 2022 commencing cycle optimization
- Sun Jul 10 13:36:01 2022 start with 133576048 relations
- Sun Jul 10 13:41:43 2022 pruned 5668784 relations
- Sun Jul 10 13:41:43 2022 memory use: 3623.2 MB
- Sun Jul 10 13:41:43 2022 distribution of cycle lengths:
- Sun Jul 10 13:41:43 2022 1 relations: 991510
- Sun Jul 10 13:41:43 2022 2 relations: 1253261
- Sun Jul 10 13:41:43 2022 3 relations: 1400086
- Sun Jul 10 13:41:43 2022 4 relations: 1377387
- Sun Jul 10 13:41:43 2022 5 relations: 1353955
- Sun Jul 10 13:41:43 2022 6 relations: 1290167
- Sun Jul 10 13:41:43 2022 7 relations: 1214840
- Sun Jul 10 13:41:43 2022 8 relations: 1124712
- Sun Jul 10 13:41:43 2022 9 relations: 1028028
- Sun Jul 10 13:41:43 2022 10+ relations: 5310817
- Sun Jul 10 13:41:43 2022 heaviest cycle: 28 relations
- Sun Jul 10 13:42:25 2022 RelProcTime: 4885
- Sun Jul 10 13:42:25 2022
- Sun Jul 10 13:42:25 2022 commencing linear algebra
- Sun Jul 10 13:42:27 2022 read 16344763 cycles
- Sun Jul 10 13:43:01 2022 cycles contain 53655697 unique relations
- Sun Jul 10 13:46:18 2022 read 53655697 relations
- Sun Jul 10 13:48:10 2022 using 20 quadratic characters above 4294917295
- Sun Jul 10 13:51:09 2022 building initial matrix
- Sun Jul 10 13:59:58 2022 memory use: 7040.3 MB
- Sun Jul 10 14:00:13 2022 read 16344763 cycles
- Sun Jul 10 14:00:15 2022 matrix is 16344586 x 16344763 (7357.2 MB) with weight 2109670039 (129.07/col)
- Sun Jul 10 14:00:15 2022 sparse part has weight 1748846092 (107.00/col)
- Sun Jul 10 14:03:00 2022 filtering completed in 2 passes
- Sun Jul 10 14:03:03 2022 matrix is 16344356 x 16344533 (7357.2 MB) with weight 2109662941 (129.07/col)
- Sun Jul 10 14:03:03 2022 sparse part has weight 1748844288 (107.00/col)
- Sun Jul 10 14:03:57 2022 matrix starts at (0, 0)
- Sun Jul 10 14:03:58 2022 matrix is 16344356 x 16344533 (7357.2 MB) with weight 2109662941 (129.07/col)
- Sun Jul 10 14:03:58 2022 sparse part has weight 1748844288 (107.00/col)
- Sun Jul 10 14:03:58 2022 saving the first 48 matrix rows for later
- Sun Jul 10 14:04:01 2022 matrix includes 64 packed rows
- Sun Jul 10 14:04:02 2022 matrix is 16344308 x 16344533 (7059.5 MB) with weight 1802344481 (110.27/col)
- Sun Jul 10 14:04:02 2022 sparse part has weight 1687163636 (103.22/col)
- Sun Jul 10 14:04:02 2022 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
- Sun Jul 10 14:05:31 2022 commencing Lanczos iteration (10 threads)
- Sun Jul 10 14:05:31 2022 memory use: 6067.8 MB
- Sun Jul 10 14:06:02 2022 linear algebra at 0.0%, ETA 86h47m
- Sun Jul 10 14:06:12 2022 checkpointing every 190000 dimensions
- Thu Jul 14 05:24:15 2022 lanczos halted after 258468 iterations (dim = 16344307)
- Thu Jul 14 05:24:29 2022 recovered 39 nontrivial dependencies
- Thu Jul 14 05:24:33 2022 BLanczosTime: 315728
- Thu Jul 14 05:24:33 2022
- Thu Jul 14 05:24:33 2022 commencing square root phase
- Thu Jul 14 05:24:33 2022 handling dependencies 1 to 64
- Thu Jul 14 05:24:33 2022 reading relations for dependency 1
- Thu Jul 14 05:24:35 2022 read 8173584 cycles
- Thu Jul 14 05:24:50 2022 cycles contain 26829254 unique relations
- Thu Jul 14 05:26:35 2022 read 26829254 relations
- Thu Jul 14 05:28:31 2022 multiplying 26829254 relations
- Thu Jul 14 05:44:46 2022 multiply complete, coefficients have about 782.45 million bits
- Thu Jul 14 05:44:48 2022 initial square root is modulo 10465087
- Thu Jul 14 06:01:41 2022 sqrtTime: 2228
- Thu Jul 14 06:01:41 2022 p99 factor: 785405241763272827266539000271680547920091338929913866449945296789297329771233392812428833763295281
- Thu Jul 14 06:01:41 2022 p123 factor: 675699669697471302498284504904414115222884202233384632818442491358927791725309353849539086000796618597987050928860814485061
- Thu Jul 14 06:01:41 2022 elapsed time 89:40:43
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