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- Sun Mar 30 13:47:37 2025
- Sun Mar 30 13:47:37 2025
- Sun Mar 30 13:47:37 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Sun Mar 30 13:47:37 2025 random seeds: 6e73cf52 e6cc4849
- Sun Mar 30 13:47:37 2025 MPI process 0 of 1
- Sun Mar 30 13:47:37 2025 Using 32 OpenMP threads
- Sun Mar 30 13:47:37 2025 factoring 607447958473999952274519253176828861549627658352171709002903981132918018987068190293019263558577484962807966784116685677571654122211278958447284498251707077808331 (162 digits)
- Sun Mar 30 13:47:38 2025 searching for 15-digit factors
- Sun Mar 30 13:47:38 2025 commencing number field sieve (162-digit input)
- Sun Mar 30 13:47:38 2025 R0: -22540404912715328272126214345019
- Sun Mar 30 13:47:38 2025 R1: 30656723807098481
- Sun Mar 30 13:47:38 2025 A0: -617205213588525866469168675840396194800
- Sun Mar 30 13:47:38 2025 A1: 5490576836988934212599863562441970
- Sun Mar 30 13:47:38 2025 A2: 300806392419358839005961281
- Sun Mar 30 13:47:38 2025 A3: -84468813856423955016
- Sun Mar 30 13:47:38 2025 A4: 1982292170804
- Sun Mar 30 13:47:38 2025 A5: 104400
- Sun Mar 30 13:47:38 2025 skew 14112350.23, size 8.428e-16, alpha -7.531, combined = 1.025e-12 rroots = 3
- Sun Mar 30 13:47:38 2025
- Sun Mar 30 13:47:38 2025 commencing relation filtering
- Sun Mar 30 13:47:38 2025 setting target matrix density to 110.0
- Sun Mar 30 13:47:38 2025 estimated available RAM is 257736.5 MB
- Sun Mar 30 13:47:38 2025 commencing duplicate removal, pass 1
- Sun Mar 30 13:49:59 2025 error -1 reading relation 60753075
- Sun Mar 30 13:50:00 2025 error -1 reading relation 61133067
- Sun Mar 30 13:50:27 2025 error -1 reading relation 72267467
- Sun Mar 30 13:51:47 2025 error -1 reading relation 110853921
- Sun Mar 30 13:51:47 2025 error -1 reading relation 111221349
- Sun Mar 30 13:51:51 2025 error -1 reading relation 113696336
- Sun Mar 30 13:51:51 2025 error -1 reading relation 113848644
- Sun Mar 30 13:51:52 2025 error -1 reading relation 114127905
- Sun Mar 30 13:51:57 2025 error -1 reading relation 117563732
- Sun Mar 30 13:52:09 2025 error -1 reading relation 125915355
- Sun Mar 30 13:52:44 2025 error -1 reading relation 141714213
- Sun Mar 30 13:52:49 2025 error -1 reading relation 143514867
- Sun Mar 30 13:53:02 2025 skipped 129 malformed relations
- Sun Mar 30 13:53:02 2025 found 26532568 hash collisions in 148499930 relations
- Sun Mar 30 13:53:32 2025 added 121817 free relations
- Sun Mar 30 13:53:32 2025 commencing duplicate removal, pass 2
- Sun Mar 30 13:57:58 2025 found 26978773 duplicates and 121642974 unique relations
- Sun Mar 30 13:57:58 2025 memory use: 852.8 MB
- Sun Mar 30 13:57:58 2025 reading ideals above 720000
- Sun Mar 30 13:57:58 2025 commencing singleton removal, initial pass
- Sun Mar 30 14:09:26 2025 memory use: 3012.0 MB
- Sun Mar 30 14:09:28 2025 reading all ideals from disk
- Sun Mar 30 14:09:30 2025 memory use: 5510.6 MB
- Sun Mar 30 14:09:42 2025 keeping 125483151 ideals with weight <= 200, target excess is 591329
- Sun Mar 30 14:09:56 2025 commencing in-memory singleton removal
- Sun Mar 30 14:09:58 2025 begin with 121642974 relations and 125483151 unique ideals
- Sun Mar 30 14:10:08 2025 reduce to 61054548 relations and 56856488 ideals in 18 passes
- Sun Mar 30 14:10:08 2025 max relations containing the same ideal: 135
- Sun Mar 30 14:10:53 2025 removing 4268254 relations and 3868254 ideals in 400000 cliques
- Sun Mar 30 14:10:57 2025 commencing in-memory singleton removal
- Sun Mar 30 14:10:58 2025 begin with 56786294 relations and 56856488 unique ideals
- Sun Mar 30 14:11:04 2025 reduce to 56509173 relations and 52708302 ideals in 11 passes
- Sun Mar 30 14:11:04 2025 max relations containing the same ideal: 125
- Sun Mar 30 14:11:42 2025 removing 3149869 relations and 2749869 ideals in 400000 cliques
- Sun Mar 30 14:11:44 2025 commencing in-memory singleton removal
- Sun Mar 30 14:11:45 2025 begin with 53359304 relations and 52708302 unique ideals
- Sun Mar 30 14:11:50 2025 reduce to 53195031 relations and 49792738 ideals in 11 passes
- Sun Mar 30 14:11:50 2025 max relations containing the same ideal: 120
- Sun Mar 30 14:12:25 2025 removing 2800516 relations and 2400516 ideals in 400000 cliques
- Sun Mar 30 14:12:27 2025 commencing in-memory singleton removal
- Sun Mar 30 14:12:28 2025 begin with 50394515 relations and 49792738 unique ideals
- Sun Mar 30 14:12:32 2025 reduce to 50255031 relations and 47251576 ideals in 9 passes
- Sun Mar 30 14:12:32 2025 max relations containing the same ideal: 117
- Sun Mar 30 14:13:04 2025 removing 2615936 relations and 2215936 ideals in 400000 cliques
- Sun Mar 30 14:13:06 2025 commencing in-memory singleton removal
- Sun Mar 30 14:13:07 2025 begin with 47639095 relations and 47251576 unique ideals
- Sun Mar 30 14:13:11 2025 reduce to 47509084 relations and 44904630 ideals in 8 passes
- Sun Mar 30 14:13:11 2025 max relations containing the same ideal: 114
- Sun Mar 30 14:13:42 2025 removing 2498643 relations and 2098643 ideals in 400000 cliques
- Sun Mar 30 14:13:44 2025 commencing in-memory singleton removal
- Sun Mar 30 14:13:45 2025 begin with 45010441 relations and 44904630 unique ideals
- Sun Mar 30 14:13:48 2025 reduce to 44885707 relations and 42680162 ideals in 9 passes
- Sun Mar 30 14:13:48 2025 max relations containing the same ideal: 109
- Sun Mar 30 14:14:18 2025 removing 2422464 relations and 2022464 ideals in 400000 cliques
- Sun Mar 30 14:14:20 2025 commencing in-memory singleton removal
- Sun Mar 30 14:14:21 2025 begin with 42463243 relations and 42680162 unique ideals
- Sun Mar 30 14:14:24 2025 reduce to 42339410 relations and 40532841 ideals in 9 passes
- Sun Mar 30 14:14:24 2025 max relations containing the same ideal: 105
- Sun Mar 30 14:14:54 2025 removing 2371690 relations and 1971690 ideals in 400000 cliques
- Sun Mar 30 14:14:55 2025 commencing in-memory singleton removal
- Sun Mar 30 14:14:56 2025 begin with 39967720 relations and 40532841 unique ideals
- Sun Mar 30 14:14:59 2025 reduce to 39840572 relations and 38432902 ideals in 9 passes
- Sun Mar 30 14:14:59 2025 max relations containing the same ideal: 98
- Sun Mar 30 14:15:28 2025 removing 2339624 relations and 1939624 ideals in 400000 cliques
- Sun Mar 30 14:15:30 2025 commencing in-memory singleton removal
- Sun Mar 30 14:15:30 2025 begin with 37500948 relations and 38432902 unique ideals
- Sun Mar 30 14:15:33 2025 reduce to 37369224 relations and 36360304 ideals in 9 passes
- Sun Mar 30 14:15:33 2025 max relations containing the same ideal: 94
- Sun Mar 30 14:16:00 2025 removing 1952254 relations and 1629276 ideals in 322978 cliques
- Sun Mar 30 14:16:02 2025 commencing in-memory singleton removal
- Sun Mar 30 14:16:03 2025 begin with 35416970 relations and 36360304 unique ideals
- Sun Mar 30 14:16:05 2025 reduce to 35320689 relations and 34633938 ideals in 8 passes
- Sun Mar 30 14:16:05 2025 max relations containing the same ideal: 89
- Sun Mar 30 14:16:36 2025 relations with 0 large ideals: 2107
- Sun Mar 30 14:16:36 2025 relations with 1 large ideals: 8911
- Sun Mar 30 14:16:36 2025 relations with 2 large ideals: 139225
- Sun Mar 30 14:16:36 2025 relations with 3 large ideals: 948772
- Sun Mar 30 14:16:36 2025 relations with 4 large ideals: 3496639
- Sun Mar 30 14:16:36 2025 relations with 5 large ideals: 7622314
- Sun Mar 30 14:16:36 2025 relations with 6 large ideals: 10153775
- Sun Mar 30 14:16:36 2025 relations with 7+ large ideals: 12948946
- Sun Mar 30 14:16:36 2025 commencing 2-way merge
- Sun Mar 30 14:17:09 2025 reduce to 21124595 relation sets and 20437844 unique ideals
- Sun Mar 30 14:17:09 2025 commencing full merge
- Sun Mar 30 14:27:07 2025 memory use: 2282.3 MB
- Sun Mar 30 14:27:08 2025 found 9123572 cycles, need 9116044
- Sun Mar 30 14:27:11 2025 weight of 9116044 cycles is about 1003340259 (110.06/cycle)
- Sun Mar 30 14:27:11 2025 distribution of cycle lengths:
- Sun Mar 30 14:27:11 2025 1 relations: 870180
- Sun Mar 30 14:27:11 2025 2 relations: 738195
- Sun Mar 30 14:27:11 2025 3 relations: 731042
- Sun Mar 30 14:27:11 2025 4 relations: 688549
- Sun Mar 30 14:27:11 2025 5 relations: 654909
- Sun Mar 30 14:27:11 2025 6 relations: 605280
- Sun Mar 30 14:27:11 2025 7 relations: 570318
- Sun Mar 30 14:27:11 2025 8 relations: 523264
- Sun Mar 30 14:27:11 2025 9 relations: 472222
- Sun Mar 30 14:27:11 2025 10+ relations: 3262085
- Sun Mar 30 14:27:11 2025 heaviest cycle: 28 relations
- Sun Mar 30 14:27:12 2025 commencing cycle optimization
- Sun Mar 30 14:27:27 2025 start with 75472885 relations
- Sun Mar 30 14:31:15 2025 pruned 2450243 relations
- Sun Mar 30 14:31:16 2025 memory use: 2200.6 MB
- Sun Mar 30 14:31:17 2025 distribution of cycle lengths:
- Sun Mar 30 14:31:17 2025 1 relations: 870180
- Sun Mar 30 14:31:17 2025 2 relations: 757738
- Sun Mar 30 14:31:17 2025 3 relations: 759321
- Sun Mar 30 14:31:17 2025 4 relations: 710269
- Sun Mar 30 14:31:17 2025 5 relations: 676900
- Sun Mar 30 14:31:17 2025 6 relations: 622378
- Sun Mar 30 14:31:17 2025 7 relations: 584956
- Sun Mar 30 14:31:17 2025 8 relations: 532722
- Sun Mar 30 14:31:17 2025 9 relations: 480684
- Sun Mar 30 14:31:17 2025 10+ relations: 3120896
- Sun Mar 30 14:31:17 2025 heaviest cycle: 28 relations
- Sun Mar 30 14:31:43 2025 RelProcTime: 2645
- Sun Mar 30 14:31:44 2025
- Sun Mar 30 14:31:44 2025 commencing linear algebra
- Sun Mar 30 14:31:44 2025 using VBITS=256
- Sun Mar 30 14:31:44 2025 stopping after matrix build
- Sun Mar 30 14:31:44 2025 initialized process (0,0) of 1 x 1 grid
- Sun Mar 30 14:31:45 2025 read 9116044 cycles
- Sun Mar 30 14:32:12 2025 cycles contain 34723687 unique relations
- Sun Mar 30 14:35:10 2025 read 34723687 relations
- Sun Mar 30 14:35:14 2025 using 20 quadratic characters above 4294917295
- Sun Mar 30 14:35:20 2025 building initial matrix
- Sun Mar 30 14:44:24 2025 memory use: 4527.8 MB
- Sun Mar 30 14:44:30 2025 read 9116044 cycles
- Sun Mar 30 14:44:31 2025 matrix is 9115865 x 9116044 (4024.4 MB) with weight 1222209657 (134.07/col)
- Sun Mar 30 14:44:31 2025 sparse part has weight 945570520 (103.73/col)
- Sun Mar 30 14:47:05 2025 filtering completed in 2 passes
- Sun Mar 30 14:47:08 2025 matrix is 9115211 x 9115390 (4024.3 MB) with weight 1222180885 (134.08/col)
- Sun Mar 30 14:47:08 2025 sparse part has weight 945563772 (103.73/col)
- Sun Mar 30 14:48:11 2025 BLanczosTime: 987
- Sun Mar 30 14:48:11 2025 elapsed time 01:00:34
- Mon Mar 31 03:24:19 2025
- Mon Mar 31 03:24:20 2025
- Mon Mar 31 03:24:20 2025 Msieve v. 1.54 (SVN Unversioned directory)
- Mon Mar 31 03:24:20 2025 random seeds: 526c3144 068c1d9b
- Mon Mar 31 03:24:20 2025 Using 96 OpenMP threads
- Mon Mar 31 03:24:20 2025 factoring 607447958473999952274519253176828861549627658352171709002903981132918018987068190293019263558577484962807966784116685677571654122211278958447284498251707077808331 (162 digits)
- Mon Mar 31 03:24:21 2025 searching for 15-digit factors
- Mon Mar 31 03:24:21 2025 commencing number field sieve (162-digit input)
- Mon Mar 31 03:24:21 2025 R0: -22540404912715328272126214345019
- Mon Mar 31 03:24:21 2025 R1: 30656723807098481
- Mon Mar 31 03:24:21 2025 A0: -617205213588525866469168675840396194800
- Mon Mar 31 03:24:21 2025 A1: 5490576836988934212599863562441970
- Mon Mar 31 03:24:21 2025 A2: 300806392419358839005961281
- Mon Mar 31 03:24:21 2025 A3: -84468813856423955016
- Mon Mar 31 03:24:21 2025 A4: 1982292170804
- Mon Mar 31 03:24:21 2025 A5: 104400
- Mon Mar 31 03:24:21 2025 skew 14112350.23, size 8.428e-16, alpha -7.531, combined = 1.025e-12 rroots = 3
- Mon Mar 31 03:24:21 2025
- Mon Mar 31 03:24:21 2025 commencing linear algebra
- Mon Mar 31 03:24:21 2025 using VBITS=256
- Mon Mar 31 03:24:21 2025 skipping matrix build
- Mon Mar 31 03:24:23 2025 matrix starts at (0, 0)
- Mon Mar 31 03:24:24 2025 matrix is 9115211 x 9115390 (4024.3 MB) with weight 1222180885 (134.08/col)
- Mon Mar 31 03:24:24 2025 sparse part has weight 945563772 (103.73/col)
- Mon Mar 31 03:24:24 2025 saving the first 240 matrix rows for later
- Mon Mar 31 03:24:25 2025 matrix includes 256 packed rows
- Mon Mar 31 03:24:28 2025 matrix is 9114971 x 9115390 (3639.0 MB) with weight 863806547 (94.76/col)
- Mon Mar 31 03:24:28 2025 sparse part has weight 808103926 (88.65/col)
- Mon Mar 31 03:24:28 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
- Mon Mar 31 03:24:45 2025 commencing Lanczos iteration (96 threads)
- Mon Mar 31 03:24:45 2025 memory use: 5108.2 MB
- Mon Mar 31 03:25:47 2025 linear algebra at 0.3%, ETA 5h 1m
- Mon Mar 31 03:27:13 2025 checking every 30000 dimensions, checkpointing every 1890000 dimensions
- Mon Mar 31 08:08:40 2025 lanczos halted after 35713 iterations (dim = 9114970)
- Mon Mar 31 08:09:17 2025 recovered 29 nontrivial dependencies
- Mon Mar 31 08:09:18 2025 BLanczosTime: 17097
- Mon Mar 31 08:09:18 2025
- Mon Mar 31 08:09:18 2025 commencing square root phase
- Mon Mar 31 08:09:18 2025 handling dependencies 1 to 64
- Mon Mar 31 08:09:18 2025 reading relations for dependency 1
- Mon Mar 31 08:09:19 2025 read 4555343 cycles
- Mon Mar 31 08:09:26 2025 cycles contain 17360118 unique relations
- Mon Mar 31 08:11:28 2025 read 17360118 relations
- Mon Mar 31 08:12:19 2025 multiplying 17360118 relations
- Mon Mar 31 08:19:46 2025 multiply complete, coefficients have about 928.36 million bits
- Mon Mar 31 08:19:49 2025 initial square root is modulo 213196267
- Mon Mar 31 08:24:39 2025 GCD is 1, no factor found
- Mon Mar 31 08:24:39 2025 reading relations for dependency 2
- Mon Mar 31 08:24:40 2025 read 4557321 cycles
- Mon Mar 31 08:24:47 2025 cycles contain 17365882 unique relations
- Mon Mar 31 08:26:50 2025 read 17365882 relations
- Mon Mar 31 08:27:42 2025 multiplying 17365882 relations
- Mon Mar 31 08:35:12 2025 multiply complete, coefficients have about 928.66 million bits
- Mon Mar 31 08:35:14 2025 initial square root is modulo 214541777
- Mon Mar 31 08:40:12 2025 GCD is N, no factor found
- Mon Mar 31 08:40:12 2025 reading relations for dependency 3
- Mon Mar 31 08:40:13 2025 read 4557064 cycles
- Mon Mar 31 08:40:19 2025 cycles contain 17359246 unique relations
- Mon Mar 31 08:42:24 2025 read 17359246 relations
- Mon Mar 31 08:43:17 2025 multiplying 17359246 relations
- Mon Mar 31 08:50:47 2025 multiply complete, coefficients have about 928.31 million bits
- Mon Mar 31 08:50:49 2025 initial square root is modulo 212963669
- Mon Mar 31 08:55:49 2025 GCD is N, no factor found
- Mon Mar 31 08:55:49 2025 reading relations for dependency 4
- Mon Mar 31 08:55:50 2025 read 4560025 cycles
- Mon Mar 31 08:55:56 2025 cycles contain 17367790 unique relations
- Mon Mar 31 08:58:01 2025 read 17367790 relations
- Mon Mar 31 08:58:58 2025 multiplying 17367790 relations
- Mon Mar 31 09:06:26 2025 multiply complete, coefficients have about 928.77 million bits
- Mon Mar 31 09:06:28 2025 initial square root is modulo 214995959
- Mon Mar 31 09:11:37 2025 GCD is 1, no factor found
- Mon Mar 31 09:11:37 2025 reading relations for dependency 5
- Mon Mar 31 09:11:38 2025 read 4557971 cycles
- Mon Mar 31 09:11:45 2025 cycles contain 17362146 unique relations
- Mon Mar 31 09:13:50 2025 read 17362146 relations
- Mon Mar 31 09:14:41 2025 multiplying 17362146 relations
- Mon Mar 31 09:22:07 2025 multiply complete, coefficients have about 928.47 million bits
- Mon Mar 31 09:22:10 2025 initial square root is modulo 213676201
- Mon Mar 31 09:27:01 2025 GCD is 1, no factor found
- Mon Mar 31 09:27:01 2025 reading relations for dependency 6
- Mon Mar 31 09:27:02 2025 read 4557255 cycles
- Mon Mar 31 09:27:09 2025 cycles contain 17362180 unique relations
- Mon Mar 31 09:29:12 2025 read 17362180 relations
- Mon Mar 31 09:30:04 2025 multiplying 17362180 relations
- Mon Mar 31 09:37:29 2025 multiply complete, coefficients have about 928.47 million bits
- Mon Mar 31 09:37:31 2025 initial square root is modulo 213678859
- Mon Mar 31 09:42:26 2025 GCD is 1, no factor found
- Mon Mar 31 09:42:26 2025 reading relations for dependency 7
- Mon Mar 31 09:42:27 2025 read 4557292 cycles
- Mon Mar 31 09:42:34 2025 cycles contain 17359520 unique relations
- Mon Mar 31 09:44:38 2025 read 17359520 relations
- Mon Mar 31 09:45:31 2025 multiplying 17359520 relations
- Mon Mar 31 09:52:56 2025 multiply complete, coefficients have about 928.32 million bits
- Mon Mar 31 09:52:58 2025 initial square root is modulo 213035051
- Mon Mar 31 09:57:47 2025 GCD is N, no factor found
- Mon Mar 31 09:57:47 2025 reading relations for dependency 8
- Mon Mar 31 09:57:48 2025 read 4557347 cycles
- Mon Mar 31 09:57:55 2025 cycles contain 17357150 unique relations
- Mon Mar 31 09:59:59 2025 read 17357150 relations
- Mon Mar 31 10:00:50 2025 multiplying 17357150 relations
- Mon Mar 31 10:08:18 2025 multiply complete, coefficients have about 928.20 million bits
- Mon Mar 31 10:08:21 2025 initial square root is modulo 212484221
- Mon Mar 31 10:13:11 2025 GCD is N, no factor found
- Mon Mar 31 10:13:11 2025 reading relations for dependency 9
- Mon Mar 31 10:13:12 2025 read 4557061 cycles
- Mon Mar 31 10:13:19 2025 cycles contain 17361602 unique relations
- Mon Mar 31 10:15:24 2025 read 17361602 relations
- Mon Mar 31 10:16:14 2025 multiplying 17361602 relations
- Mon Mar 31 10:23:39 2025 multiply complete, coefficients have about 928.44 million bits
- Mon Mar 31 10:23:42 2025 initial square root is modulo 213547949
- Mon Mar 31 10:28:32 2025 GCD is 1, no factor found
- Mon Mar 31 10:28:32 2025 reading relations for dependency 10
- Mon Mar 31 10:28:33 2025 read 4558549 cycles
- Mon Mar 31 10:28:40 2025 cycles contain 17363960 unique relations
- Mon Mar 31 10:30:43 2025 read 17363960 relations
- Mon Mar 31 10:31:34 2025 multiplying 17363960 relations
- Mon Mar 31 10:39:00 2025 multiply complete, coefficients have about 928.56 million bits
- Mon Mar 31 10:39:02 2025 initial square root is modulo 214075231
- Mon Mar 31 10:43:53 2025 sqrtTime: 9275
- Mon Mar 31 10:43:53 2025 p77 factor: 21817023231359745596861299753584292975992938620156786390187827613733772894531
- Mon Mar 31 10:43:53 2025 p86 factor: 27842843271159718553980774122864517860179581948191474587324468495200996392126277219801
- Mon Mar 31 10:43:53 2025 elapsed time 07:19:33
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