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- Sun Aug 30 11:33:33 2015
- Sun Aug 30 11:33:33 2015
- Sun Aug 30 11:33:33 2015 Msieve v. 1.52 (SVN 946)
- Sun Aug 30 11:33:33 2015 random seeds: f62114a0 cbe79cd5
- Sun Aug 30 11:33:33 2015 factoring 104543859000117592570735577344834068527134836805420013173307441308227064157609706543659205280655104099269886675194166694337389266231098054389093582489460536490359234211437162549142143518056628133255415502145164759849842817 (222 digits)
- Sun Aug 30 11:33:35 2015 no P-1/P+1/ECM available, skipping
- Sun Aug 30 11:33:35 2015 commencing number field sieve (222-digit input)
- Sun Aug 30 11:33:35 2015 R0: -6863565056483359842584473028906205823
- Sun Aug 30 11:33:35 2015 R1: 1
- Sun Aug 30 11:33:35 2015 A0: -1
- Sun Aug 30 11:33:35 2015 A1: 0
- Sun Aug 30 11:33:35 2015 A2: 0
- Sun Aug 30 11:33:35 2015 A3: 0
- Sun Aug 30 11:33:35 2015 A4: 0
- Sun Aug 30 11:33:35 2015 A5: 0
- Sun Aug 30 11:33:35 2015 A6: 1900421426047
- Sun Aug 30 11:33:35 2015 skew 0.01, size 1.847e-012, alpha -1.570, combined = 1.961e-013 rroots = 2
- Sun Aug 30 11:33:35 2015
- Sun Aug 30 11:33:35 2015 commencing relation filtering
- Sun Aug 30 11:33:35 2015 setting target matrix density to 110.0
- Sun Aug 30 11:33:35 2015 estimated available RAM is 16331.2 MB
- Sun Aug 30 11:33:35 2015 commencing duplicate removal, pass 1
- <errors reading relations>
- Sun Aug 30 12:05:48 2015 skipped 113333 relations with b > 2^32
- Sun Aug 30 12:05:48 2015 found 45997724 hash collisions in 211773865 relations
- Sun Aug 30 12:06:16 2015 added 1218592 free relations
- Sun Aug 30 12:06:16 2015 commencing duplicate removal, pass 2
- Sun Aug 30 12:08:05 2015 found 48092011 duplicates and 164900446 unique relations
- Sun Aug 30 12:08:05 2015 memory use: 1321.5 MB
- Sun Aug 30 12:08:06 2015 reading ideals above 160235520
- Sun Aug 30 12:08:06 2015 commencing singleton removal, initial pass
- Sun Aug 30 12:35:51 2015 memory use: 3012.0 MB
- Sun Aug 30 12:35:51 2015 reading all ideals from disk
- Sun Aug 30 12:35:58 2015 memory use: 2892.1 MB
- Sun Aug 30 12:36:04 2015 commencing in-memory singleton removal
- Sun Aug 30 12:36:10 2015 begin with 164900446 relations and 149503690 unique ideals
- Sun Aug 30 12:37:21 2015 reduce to 87321807 relations and 61662552 ideals in 19 passes
- Sun Aug 30 12:37:21 2015 max relations containing the same ideal: 28
- Sun Aug 30 12:37:27 2015 reading ideals above 720000
- Sun Aug 30 12:37:28 2015 commencing singleton removal, initial pass
- Sun Aug 30 12:55:30 2015 memory use: 1506.0 MB
- Sun Aug 30 12:55:30 2015 reading all ideals from disk
- Sun Aug 30 12:55:38 2015 memory use: 3443.3 MB
- Sun Aug 30 12:55:47 2015 keeping 79183605 ideals with weight <= 200, target excess is 445433
- Sun Aug 30 12:55:57 2015 commencing in-memory singleton removal
- Sun Aug 30 12:56:04 2015 begin with 87321807 relations and 79183605 unique ideals
- Sun Aug 30 12:57:28 2015 reduce to 87277237 relations and 79139012 ideals in 11 passes
- Sun Aug 30 12:57:28 2015 max relations containing the same ideal: 200
- Sun Aug 30 12:58:10 2015 removing 7713780 relations and 6713780 ideals in 1000000 cliques
- Sun Aug 30 12:58:12 2015 commencing in-memory singleton removal
- Sun Aug 30 12:58:19 2015 begin with 79563457 relations and 79139012 unique ideals
- Sun Aug 30 12:59:20 2015 reduce to 79088209 relations and 71942685 ideals in 9 passes
- Sun Aug 30 12:59:20 2015 max relations containing the same ideal: 196
- Sun Aug 30 12:59:56 2015 removing 5682780 relations and 4682780 ideals in 1000000 cliques
- Sun Aug 30 12:59:58 2015 commencing in-memory singleton removal
- Sun Aug 30 13:00:04 2015 begin with 73405429 relations and 71942685 unique ideals
- Sun Aug 30 13:00:52 2015 reduce to 73111388 relations and 66962128 ideals in 8 passes
- Sun Aug 30 13:00:52 2015 max relations containing the same ideal: 187
- Sun Aug 30 13:01:26 2015 removing 5034239 relations and 4034239 ideals in 1000000 cliques
- Sun Aug 30 13:01:27 2015 commencing in-memory singleton removal
- Sun Aug 30 13:01:33 2015 begin with 68077149 relations and 66962128 unique ideals
- Sun Aug 30 13:02:19 2015 reduce to 67828614 relations and 62676043 ideals in 8 passes
- Sun Aug 30 13:02:19 2015 max relations containing the same ideal: 180
- Sun Aug 30 13:02:52 2015 removing 4682957 relations and 3682957 ideals in 1000000 cliques
- Sun Aug 30 13:02:53 2015 commencing in-memory singleton removal
- Sun Aug 30 13:02:59 2015 begin with 63145657 relations and 62676043 unique ideals
- Sun Aug 30 13:03:36 2015 reduce to 62914873 relations and 58759304 ideals in 7 passes
- Sun Aug 30 13:03:36 2015 max relations containing the same ideal: 172
- Sun Aug 30 13:04:06 2015 removing 4451445 relations and 3451445 ideals in 1000000 cliques
- Sun Aug 30 13:04:08 2015 commencing in-memory singleton removal
- Sun Aug 30 13:04:12 2015 begin with 58463428 relations and 58759304 unique ideals
- Sun Aug 30 13:04:51 2015 reduce to 58238593 relations and 55079837 ideals in 8 passes
- Sun Aug 30 13:04:51 2015 max relations containing the same ideal: 162
- Sun Aug 30 13:05:19 2015 removing 4288939 relations and 3288939 ideals in 1000000 cliques
- Sun Aug 30 13:05:21 2015 commencing in-memory singleton removal
- Sun Aug 30 13:05:25 2015 begin with 53949654 relations and 55079837 unique ideals
- Sun Aug 30 13:05:56 2015 reduce to 53723523 relations and 51561380 ideals in 7 passes
- Sun Aug 30 13:05:56 2015 max relations containing the same ideal: 157
- Sun Aug 30 13:06:22 2015 removing 4177667 relations and 3177667 ideals in 1000000 cliques
- Sun Aug 30 13:06:23 2015 commencing in-memory singleton removal
- Sun Aug 30 13:06:27 2015 begin with 49545856 relations and 51561380 unique ideals
- Sun Aug 30 13:07:00 2015 reduce to 49311592 relations and 48145825 ideals in 8 passes
- Sun Aug 30 13:07:00 2015 max relations containing the same ideal: 147
- Sun Aug 30 13:07:23 2015 removing 2876408 relations and 2227344 ideals in 649064 cliques
- Sun Aug 30 13:07:24 2015 commencing in-memory singleton removal
- Sun Aug 30 13:07:28 2015 begin with 46435184 relations and 48145825 unique ideals
- Sun Aug 30 13:07:55 2015 reduce to 46317478 relations and 45799428 ideals in 7 passes
- Sun Aug 30 13:07:55 2015 max relations containing the same ideal: 137
- Sun Aug 30 13:08:23 2015 relations with 0 large ideals: 15786
- Sun Aug 30 13:08:23 2015 relations with 1 large ideals: 5650
- Sun Aug 30 13:08:23 2015 relations with 2 large ideals: 46289
- Sun Aug 30 13:08:23 2015 relations with 3 large ideals: 405205
- Sun Aug 30 13:08:23 2015 relations with 4 large ideals: 1955582
- Sun Aug 30 13:08:23 2015 relations with 5 large ideals: 5701164
- Sun Aug 30 13:08:23 2015 relations with 6 large ideals: 10477634
- Sun Aug 30 13:08:23 2015 relations with 7+ large ideals: 27710168
- Sun Aug 30 13:08:23 2015 commencing 2-way merge
- Sun Aug 30 13:08:53 2015 reduce to 30436071 relation sets and 29918021 unique ideals
- Sun Aug 30 13:08:53 2015 commencing full merge
- Sun Aug 30 13:23:08 2015 memory use: 3864.5 MB
- Sun Aug 30 13:23:12 2015 found 13986620 cycles, need 13970221
- Sun Aug 30 13:23:13 2015 weight of 13970221 cycles is about 1537175995 (110.03/cycle)
- Sun Aug 30 13:23:13 2015 distribution of cycle lengths:
- Sun Aug 30 13:23:13 2015 1 relations: 733163
- Sun Aug 30 13:23:13 2015 2 relations: 1008300
- Sun Aug 30 13:23:13 2015 3 relations: 1158286
- Sun Aug 30 13:23:13 2015 4 relations: 1151560
- Sun Aug 30 13:23:13 2015 5 relations: 1133289
- Sun Aug 30 13:23:13 2015 6 relations: 1083130
- Sun Aug 30 13:23:13 2015 7 relations: 1009993
- Sun Aug 30 13:23:13 2015 8 relations: 938988
- Sun Aug 30 13:23:13 2015 9 relations: 860688
- Sun Aug 30 13:23:13 2015 10+ relations: 4892824
- Sun Aug 30 13:23:13 2015 heaviest cycle: 28 relations
- Sun Aug 30 13:23:16 2015 commencing cycle optimization
- Sun Aug 30 13:23:43 2015 start with 114694690 relations
- Sun Aug 30 13:29:14 2015 pruned 4540857 relations
- Sun Aug 30 13:29:14 2015 memory use: 3117.1 MB
- Sun Aug 30 13:29:14 2015 distribution of cycle lengths:
- Sun Aug 30 13:29:14 2015 1 relations: 733163
- Sun Aug 30 13:29:14 2015 2 relations: 1033264
- Sun Aug 30 13:29:14 2015 3 relations: 1206534
- Sun Aug 30 13:29:14 2015 4 relations: 1196032
- Sun Aug 30 13:29:14 2015 5 relations: 1183035
- Sun Aug 30 13:29:14 2015 6 relations: 1122651
- Sun Aug 30 13:29:14 2015 7 relations: 1050128
- Sun Aug 30 13:29:14 2015 8 relations: 967536
- Sun Aug 30 13:29:14 2015 9 relations: 883753
- Sun Aug 30 13:29:14 2015 10+ relations: 4594125
- Sun Aug 30 13:29:14 2015 heaviest cycle: 28 relations
- Sun Aug 30 13:30:04 2015 RelProcTime: 6989
- Sun Aug 30 13:30:04 2015
- Sun Aug 30 13:30:04 2015 commencing linear algebra
- Sun Aug 30 13:30:06 2015 read 13970221 cycles
- Sun Aug 30 13:30:37 2015 cycles contain 45998304 unique relations
- Sun Aug 30 13:38:05 2015 read 45998304 relations
- Sun Aug 30 13:39:39 2015 using 20 quadratic characters above 2147482818
- Sun Aug 30 13:42:54 2015 building initial matrix
- Sun Aug 30 13:53:21 2015 memory use: 6281.7 MB
- Sun Aug 30 13:53:31 2015 read 13970221 cycles
- Sun Aug 30 13:53:36 2015 matrix is 13970044 x 13970221 (6104.9 MB) with weight 1840933215 (131.78/col)
- Sun Aug 30 13:53:36 2015 sparse part has weight 1446699985 (103.56/col)
- Sun Aug 30 13:56:40 2015 filtering completed in 2 passes
- Sun Aug 30 13:56:45 2015 matrix is 13969860 x 13970037 (6104.9 MB) with weight 1840926321 (131.78/col)
- Sun Aug 30 13:56:45 2015 sparse part has weight 1446698503 (103.56/col)
- Sun Aug 30 13:57:39 2015 matrix starts at (0, 0)
- Sun Aug 30 13:57:44 2015 matrix is 13969860 x 13970037 (6104.9 MB) with weight 1840926321 (131.78/col)
- Sun Aug 30 13:57:44 2015 sparse part has weight 1446698503 (103.56/col)
- Sun Aug 30 13:57:44 2015 saving the first 48 matrix rows for later
- Sun Aug 30 13:57:47 2015 matrix includes 64 packed rows
- Sun Aug 30 13:57:50 2015 matrix is 13969812 x 13970037 (5946.7 MB) with weight 1560052744 (111.67/col)
- Sun Aug 30 13:57:50 2015 sparse part has weight 1419184455 (101.59/col)
- Sun Aug 30 13:57:50 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sun Aug 30 13:59:13 2015 commencing Lanczos iteration
- Sun Aug 30 13:59:13 2015 memory use: 5027.3 MB
- Sun Aug 30 14:03:38 2015 linear algebra at 0.0%, ETA 652h13m
- Sun Aug 30 14:05:05 2015 checkpointing every 30000 dimensions
- Sun Aug 30 22:58:30 2015 lanczos halted after 3902 iterations (dim = 246779)
- Sun Aug 30 22:58:41 2015 BLanczosTime: 34117
- Sun Aug 30 22:58:51 2015
- Sun Aug 30 22:58:51 2015
- Sun Aug 30 22:58:51 2015 Msieve v. 1.52 (SVN 946)
- Sun Aug 30 22:58:51 2015 random seeds: f7db6080 860b720f
- Sun Aug 30 22:58:51 2015 factoring 104543859000117592570735577344834068527134836805420013173307441308227064157609706543659205280655104099269886675194166694337389266231098054389093582489460536490359234211437162549142143518056628133255415502145164759849842817 (222 digits)
- Sun Aug 30 22:58:52 2015 no P-1/P+1/ECM available, skipping
- Sun Aug 30 22:58:52 2015 commencing number field sieve (222-digit input)
- Sun Aug 30 22:58:52 2015 R0: -6863565056483359842584473028906205823
- Sun Aug 30 22:58:52 2015 R1: 1
- Sun Aug 30 22:58:52 2015 A0: -1
- Sun Aug 30 22:58:52 2015 A1: 0
- Sun Aug 30 22:58:52 2015 A2: 0
- Sun Aug 30 22:58:52 2015 A3: 0
- Sun Aug 30 22:58:52 2015 A4: 0
- Sun Aug 30 22:58:52 2015 A5: 0
- Sun Aug 30 22:58:52 2015 A6: 1900421426047
- Sun Aug 30 22:58:52 2015 skew 0.01, size 1.847e-012, alpha -1.570, combined = 1.961e-013 rroots = 2
- Sun Aug 30 22:58:52 2015
- Sun Aug 30 22:58:52 2015 commencing linear algebra
- Sun Aug 30 22:59:07 2015 matrix starts at (0, 0)
- Sun Aug 30 22:59:12 2015 matrix is 13969860 x 13970037 (6104.9 MB) with weight 1840926321 (131.78/col)
- Sun Aug 30 22:59:12 2015 sparse part has weight 1446698503 (103.56/col)
- Sun Aug 30 22:59:12 2015 saving the first 48 matrix rows for later
- Sun Aug 30 22:59:15 2015 matrix includes 64 packed rows
- Sun Aug 30 22:59:18 2015 matrix is 13969812 x 13970037 (5946.7 MB) with weight 1560052744 (111.67/col)
- Sun Aug 30 22:59:18 2015 sparse part has weight 1419184455 (101.59/col)
- Sun Aug 30 22:59:18 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Sun Aug 30 23:00:39 2015 commencing Lanczos iteration (4 threads)
- Sun Aug 30 23:00:39 2015 memory use: 5027.4 MB
- Sun Aug 30 23:00:40 2015 restarting at iteration 3902 (dim = 246779)
- Sun Aug 30 23:01:25 2015 checkpointing every 110000 dimensions
- Sun Aug 30 23:01:34 2015 linear algebra at 1.8%, ETA 135h24m
- Sat Sep 05 13:15:46 2015 lanczos halted after 220919 iterations (dim = 13969809)
- Sat Sep 05 13:16:16 2015 recovered 35 nontrivial dependencies
- Sat Sep 05 13:16:22 2015 BLanczosTime: 483450
- Sat Sep 05 13:16:22 2015 elapsed time 134:17:31
- Sat Sep 05 15:14:22 2015
- Sat Sep 05 15:14:22 2015
- Sat Sep 05 15:14:22 2015 Msieve v. 1.52 (SVN 946)
- Sat Sep 05 15:14:22 2015 random seeds: e0fa95c4 3b0166f3
- Sat Sep 05 15:14:22 2015 factoring 104543859000117592570735577344834068527134836805420013173307441308227064157609706543659205280655104099269886675194166694337389266231098054389093582489460536490359234211437162549142143518056628133255415502145164759849842817 (222 digits)
- Sat Sep 05 15:14:23 2015 no P-1/P+1/ECM available, skipping
- Sat Sep 05 15:14:23 2015 commencing number field sieve (222-digit input)
- Sat Sep 05 15:14:23 2015 R0: -6863565056483359842584473028906205823
- Sat Sep 05 15:14:23 2015 R1: 1
- Sat Sep 05 15:14:23 2015 A0: -1
- Sat Sep 05 15:14:23 2015 A1: 0
- Sat Sep 05 15:14:23 2015 A2: 0
- Sat Sep 05 15:14:23 2015 A3: 0
- Sat Sep 05 15:14:23 2015 A4: 0
- Sat Sep 05 15:14:23 2015 A5: 0
- Sat Sep 05 15:14:23 2015 A6: 1900421426047
- Sat Sep 05 15:14:23 2015 skew 0.01, size 1.847e-012, alpha -1.570, combined = 1.961e-013 rroots = 2
- Sat Sep 05 15:14:23 2015
- Sat Sep 05 15:14:23 2015 commencing square root phase
- Sat Sep 05 15:14:23 2015 reading relations for dependency 1
- Sat Sep 05 15:14:25 2015 read 6984239 cycles
- Sat Sep 05 15:14:37 2015 cycles contain 22995532 unique relations
- Sat Sep 05 15:18:35 2015 read 22995532 relations
- Sat Sep 05 15:20:36 2015 multiplying 22995532 relations
- Sat Sep 05 16:23:15 2015 multiply complete, coefficients have about 1438.27 million bits
- Sat Sep 05 16:23:30 2015 initial square root is modulo 2829397
- Sat Sep 05 17:49:49 2015 GCD is N, no factor found
- Sat Sep 05 17:49:49 2015 reading relations for dependency 2
- Sat Sep 05 17:49:52 2015 read 6983098 cycles
- Sat Sep 05 17:50:11 2015 cycles contain 22995994 unique relations
- Sat Sep 05 17:55:11 2015 read 22995994 relations
- Sat Sep 05 17:58:19 2015 multiplying 22995994 relations
- Sat Sep 05 19:06:55 2015 multiply complete, coefficients have about 1438.29 million bits
- Sat Sep 05 19:07:10 2015 initial square root is modulo 2829889
- Sat Sep 05 20:34:13 2015 Newton iteration failed to converge
- Sat Sep 05 20:34:13 2015 algebraic square root failed
- Sat Sep 05 20:34:13 2015 reading relations for dependency 3
- Sat Sep 05 20:34:17 2015 read 6982694 cycles
- Sat Sep 05 20:34:37 2015 cycles contain 22999408 unique relations
- Sat Sep 05 20:39:38 2015 read 22999408 relations
- Sat Sep 05 20:42:46 2015 multiplying 22999408 relations
- Sat Sep 05 21:51:48 2015 multiply complete, coefficients have about 1438.50 million bits
- Sat Sep 05 21:52:03 2015 initial square root is modulo 2836261
- Sat Sep 05 23:16:35 2015 GCD is N, no factor found
- Sat Sep 05 23:16:35 2015 reading relations for dependency 4
- Sat Sep 05 23:16:39 2015 read 6987727 cycles
- Sat Sep 05 23:16:57 2015 cycles contain 23004842 unique relations
- Sat Sep 05 23:21:44 2015 read 23004842 relations
- Sat Sep 05 23:24:43 2015 multiplying 23004842 relations
- Sun Sep 06 00:30:37 2015 multiply complete, coefficients have about 1438.84 million bits
- Sun Sep 06 00:30:52 2015 initial square root is modulo 2846119
- Sun Sep 06 01:53:53 2015 Newton iteration failed to converge
- Sun Sep 06 01:53:53 2015 algebraic square root failed
- Sun Sep 06 01:53:53 2015 reading relations for dependency 5
- Sun Sep 06 01:53:57 2015 read 6985442 cycles
- Sun Sep 06 01:54:16 2015 cycles contain 22997410 unique relations
- Sun Sep 06 01:59:02 2015 read 22997410 relations
- Sun Sep 06 02:02:03 2015 multiplying 22997410 relations
- Sun Sep 06 03:08:02 2015 multiply complete, coefficients have about 1438.37 million bits
- Sun Sep 06 03:08:16 2015 initial square root is modulo 2832283
- Sun Sep 06 04:31:40 2015 sqrtTime: 47837
- Sun Sep 06 04:31:40 2015 prp89 factor: 13133569912228884111909702149222003030698023130110506246222578035099189654595314842663129
- Sun Sep 06 04:31:40 2015 prp133 factor: 7960048920345341657541294275618884818271540272030421307085139978493552551310602914315915776839732288773539575126503486120553416733673
- Sun Sep 06 04:31:40 2015 elapsed time 13:17:18
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