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- Fri Dec 11 07:11:43 2020
- Fri Dec 11 07:11:43 2020
- Fri Dec 11 07:11:43 2020 Msieve v. 1.54 (SVN 1025)
- Fri Dec 11 07:11:43 2020 random seeds: df507811 f4cfbcf7
- Fri Dec 11 07:11:43 2020 factoring 22862384954845255095828673729944936487711909421878290986995063709322480566664289503532930180987428036550195282004885409401067305278913844291322187924556995587398018270035341801 (176 digits)
- Fri Dec 11 07:11:44 2020 searching for 15-digit factors
- Fri Dec 11 07:11:44 2020 commencing number field sieve (176-digit input)
- Fri Dec 11 07:11:44 2020 R0: 2286633471135243263145287054973142922
- Fri Dec 11 07:11:44 2020 R1: -1512161853485017411
- Fri Dec 11 07:11:44 2020 A0: -1
- Fri Dec 11 07:11:44 2020 A1: 3
- Fri Dec 11 07:11:44 2020 A2: 6
- Fri Dec 11 07:11:44 2020 A3: -4
- Fri Dec 11 07:11:44 2020 A4: -5
- Fri Dec 11 07:11:44 2020 A5: 1
- Fri Dec 11 07:11:44 2020 A6: 1
- Fri Dec 11 07:11:44 2020 skew 1.00, size 9.213e-11, alpha 3.126, combined = 3.100e-12 rroots = 6
- Fri Dec 11 07:11:44 2020
- Fri Dec 11 07:11:44 2020 commencing relation filtering
- Fri Dec 11 07:11:44 2020 setting target matrix density to 112.0
- Fri Dec 11 07:11:44 2020 estimated available RAM is 15984.6 MB
- Fri Dec 11 07:11:44 2020 commencing duplicate removal, pass 1
- Fri Dec 11 07:16:58 2020 skipped 2 relations with b > 2^32
- Fri Dec 11 07:16:58 2020 found 2125174 hash collisions in 49253402 relations
- Fri Dec 11 07:17:05 2020 added 2438355 free relations
- Fri Dec 11 07:17:05 2020 commencing duplicate removal, pass 2
- Fri Dec 11 07:17:15 2020 found 0 duplicates and 51691757 unique relations
- Fri Dec 11 07:17:15 2020 memory use: 130.6 MB
- Fri Dec 11 07:17:15 2020 reading ideals above 720000
- Fri Dec 11 07:17:15 2020 commencing singleton removal, initial pass
- Fri Dec 11 07:22:26 2020 memory use: 1378.0 MB
- Fri Dec 11 07:22:27 2020 reading all ideals from disk
- Fri Dec 11 07:22:27 2020 memory use: 1852.9 MB
- Fri Dec 11 07:22:31 2020 keeping 47542867 ideals with weight <= 200, target excess is 268369
- Fri Dec 11 07:22:34 2020 commencing in-memory singleton removal
- Fri Dec 11 07:22:38 2020 begin with 51691757 relations and 47542867 unique ideals
- Fri Dec 11 07:23:11 2020 reduce to 34181888 relations and 28218049 ideals in 14 passes
- Fri Dec 11 07:23:11 2020 max relations containing the same ideal: 160
- Fri Dec 11 07:23:22 2020 removing 4654940 relations and 3654940 ideals in 1000000 cliques
- Fri Dec 11 07:23:23 2020 commencing in-memory singleton removal
- Fri Dec 11 07:23:25 2020 begin with 29526948 relations and 28218049 unique ideals
- Fri Dec 11 07:23:42 2020 reduce to 28875929 relations and 23887976 ideals in 9 passes
- Fri Dec 11 07:23:42 2020 max relations containing the same ideal: 142
- Fri Dec 11 07:23:51 2020 removing 3748360 relations and 2748360 ideals in 1000000 cliques
- Fri Dec 11 07:23:52 2020 commencing in-memory singleton removal
- Fri Dec 11 07:23:54 2020 begin with 25127569 relations and 23887976 unique ideals
- Fri Dec 11 07:24:06 2020 reduce to 24726456 relations and 20724297 ideals in 8 passes
- Fri Dec 11 07:24:06 2020 max relations containing the same ideal: 130
- Fri Dec 11 07:24:14 2020 removing 3410197 relations and 2410197 ideals in 1000000 cliques
- Fri Dec 11 07:24:15 2020 commencing in-memory singleton removal
- Fri Dec 11 07:24:17 2020 begin with 21316259 relations and 20724297 unique ideals
- Fri Dec 11 07:24:26 2020 reduce to 20950511 relations and 17934085 ideals in 7 passes
- Fri Dec 11 07:24:26 2020 max relations containing the same ideal: 118
- Fri Dec 11 07:24:33 2020 removing 3265938 relations and 2265938 ideals in 1000000 cliques
- Fri Dec 11 07:24:34 2020 commencing in-memory singleton removal
- Fri Dec 11 07:24:35 2020 begin with 17684573 relations and 17934085 unique ideals
- Fri Dec 11 07:24:42 2020 reduce to 17308950 relations and 15276127 ideals in 7 passes
- Fri Dec 11 07:24:42 2020 max relations containing the same ideal: 102
- Fri Dec 11 07:24:48 2020 removing 3188387 relations and 2188387 ideals in 1000000 cliques
- Fri Dec 11 07:24:49 2020 commencing in-memory singleton removal
- Fri Dec 11 07:24:49 2020 begin with 14120563 relations and 15276127 unique ideals
- Fri Dec 11 07:24:56 2020 reduce to 13706992 relations and 12652686 ideals in 8 passes
- Fri Dec 11 07:24:56 2020 max relations containing the same ideal: 86
- Fri Dec 11 07:25:01 2020 removing 2474095 relations and 1731098 ideals in 742997 cliques
- Fri Dec 11 07:25:01 2020 commencing in-memory singleton removal
- Fri Dec 11 07:25:02 2020 begin with 11232897 relations and 12652686 unique ideals
- Fri Dec 11 07:25:07 2020 reduce to 10923500 relations and 10597246 ideals in 8 passes
- Fri Dec 11 07:25:07 2020 max relations containing the same ideal: 75
- Fri Dec 11 07:25:11 2020 removing 98772 relations and 83827 ideals in 14945 cliques
- Fri Dec 11 07:25:11 2020 commencing in-memory singleton removal
- Fri Dec 11 07:25:12 2020 begin with 10824728 relations and 10597246 unique ideals
- Fri Dec 11 07:25:15 2020 reduce to 10824085 relations and 10512775 ideals in 5 passes
- Fri Dec 11 07:25:15 2020 max relations containing the same ideal: 74
- Fri Dec 11 07:25:17 2020 relations with 0 large ideals: 19889
- Fri Dec 11 07:25:17 2020 relations with 1 large ideals: 5377
- Fri Dec 11 07:25:17 2020 relations with 2 large ideals: 44291
- Fri Dec 11 07:25:17 2020 relations with 3 large ideals: 292341
- Fri Dec 11 07:25:17 2020 relations with 4 large ideals: 1040759
- Fri Dec 11 07:25:17 2020 relations with 5 large ideals: 2198566
- Fri Dec 11 07:25:17 2020 relations with 6 large ideals: 2873197
- Fri Dec 11 07:25:17 2020 relations with 7+ large ideals: 4349665
- Fri Dec 11 07:25:17 2020 commencing 2-way merge
- Fri Dec 11 07:25:21 2020 reduce to 7140511 relation sets and 6829201 unique ideals
- Fri Dec 11 07:25:21 2020 commencing full merge
- Fri Dec 11 07:27:29 2020 memory use: 971.9 MB
- Fri Dec 11 07:27:30 2020 found 3253644 cycles, need 3245401
- Fri Dec 11 07:27:31 2020 weight of 3245401 cycles is about 364212696 (112.22/cycle)
- Fri Dec 11 07:27:31 2020 distribution of cycle lengths:
- Fri Dec 11 07:27:31 2020 1 relations: 153036
- Fri Dec 11 07:27:31 2020 2 relations: 197456
- Fri Dec 11 07:27:31 2020 3 relations: 228692
- Fri Dec 11 07:27:31 2020 4 relations: 235631
- Fri Dec 11 07:27:31 2020 5 relations: 241063
- Fri Dec 11 07:27:31 2020 6 relations: 237507
- Fri Dec 11 07:27:31 2020 7 relations: 230622
- Fri Dec 11 07:27:31 2020 8 relations: 220069
- Fri Dec 11 07:27:31 2020 9 relations: 205366
- Fri Dec 11 07:27:31 2020 10+ relations: 1295959
- Fri Dec 11 07:27:31 2020 heaviest cycle: 28 relations
- Fri Dec 11 07:27:31 2020 commencing cycle optimization
- Fri Dec 11 07:27:36 2020 start with 28987795 relations
- Fri Dec 11 07:28:25 2020 pruned 1371947 relations
- Fri Dec 11 07:28:25 2020 memory use: 746.9 MB
- Fri Dec 11 07:28:25 2020 distribution of cycle lengths:
- Fri Dec 11 07:28:25 2020 1 relations: 153036
- Fri Dec 11 07:28:25 2020 2 relations: 201685
- Fri Dec 11 07:28:25 2020 3 relations: 237919
- Fri Dec 11 07:28:25 2020 4 relations: 245406
- Fri Dec 11 07:28:25 2020 5 relations: 253527
- Fri Dec 11 07:28:25 2020 6 relations: 249273
- Fri Dec 11 07:28:25 2020 7 relations: 242870
- Fri Dec 11 07:28:25 2020 8 relations: 231603
- Fri Dec 11 07:28:25 2020 9 relations: 215070
- Fri Dec 11 07:28:25 2020 10+ relations: 1215012
- Fri Dec 11 07:28:25 2020 heaviest cycle: 28 relations
- Fri Dec 11 07:28:30 2020 RelProcTime: 1006
- Fri Dec 11 07:28:30 2020
- Fri Dec 11 07:28:30 2020 commencing linear algebra
- Fri Dec 11 07:28:30 2020 read 3245401 cycles
- Fri Dec 11 07:28:35 2020 cycles contain 10654712 unique relations
- Fri Dec 11 07:29:23 2020 read 10654712 relations
- Fri Dec 11 07:29:36 2020 using 20 quadratic characters above 4294917295
- Fri Dec 11 07:30:12 2020 building initial matrix
- Fri Dec 11 07:31:45 2020 memory use: 1300.7 MB
- Fri Dec 11 07:31:46 2020 read 3245401 cycles
- Fri Dec 11 07:31:47 2020 matrix is 3245224 x 3245401 (1419.1 MB) with weight 402975607 (124.17/col)
- Fri Dec 11 07:31:47 2020 sparse part has weight 339564432 (104.63/col)
- Fri Dec 11 07:32:15 2020 filtering completed in 2 passes
- Fri Dec 11 07:32:16 2020 matrix is 3245167 x 3245344 (1419.1 MB) with weight 402973997 (124.17/col)
- Fri Dec 11 07:32:16 2020 sparse part has weight 339563968 (104.63/col)
- Fri Dec 11 07:32:21 2020 matrix starts at (0, 0)
- Fri Dec 11 07:32:22 2020 matrix is 3245167 x 3245344 (1419.1 MB) with weight 402973997 (124.17/col)
- Fri Dec 11 07:32:22 2020 sparse part has weight 339563968 (104.63/col)
- Fri Dec 11 07:32:22 2020 saving the first 48 matrix rows for later
- Fri Dec 11 07:32:22 2020 matrix includes 64 packed rows
- Fri Dec 11 07:32:22 2020 matrix is 3245119 x 3245344 (1360.3 MB) with weight 346053244 (106.63/col)
- Fri Dec 11 07:32:22 2020 sparse part has weight 324131269 (99.88/col)
- Fri Dec 11 07:32:22 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Fri Dec 11 07:32:32 2020 commencing Lanczos iteration (3 threads)
- Fri Dec 11 07:32:32 2020 memory use: 1292.1 MB
- Fri Dec 11 07:32:44 2020 linear algebra at 0.0%, ETA 7h 9m
- Fri Dec 11 07:32:47 2020 checkpointing every 490000 dimensions
- Fri Dec 11 13:33:23 2020 lanczos halted after 51320 iterations (dim = 3245114)
- Fri Dec 11 13:33:27 2020 recovered 32 nontrivial dependencies
- Fri Dec 11 13:33:27 2020 BLanczosTime: 21897
- Fri Dec 11 13:33:27 2020
- Fri Dec 11 13:33:27 2020 commencing square root phase
- Fri Dec 11 13:33:27 2020 handling dependencies 1 to 64
- Fri Dec 11 13:33:27 2020 reading relations for dependency 1
- Fri Dec 11 13:33:27 2020 read 1621657 cycles
- Fri Dec 11 13:33:29 2020 cycles contain 5325588 unique relations
- Fri Dec 11 13:33:55 2020 read 5325588 relations
- Fri Dec 11 13:34:10 2020 multiplying 5325588 relations
- Fri Dec 11 13:36:25 2020 multiply complete, coefficients have about 126.54 million bits
- Fri Dec 11 13:36:25 2020 initial square root is modulo 1209326597
- Fri Dec 11 13:38:59 2020 sqrtTime: 332
- Fri Dec 11 13:38:59 2020 p74 factor: 17187200970890763061632540456280455979711047354574671691042933430984806607
- Fri Dec 11 13:38:59 2020 p103 factor: 1330198267511173671606989977463834558788640229397314096751857286309940442636500141010017765194302771143
- Fri Dec 11 13:38:59 2020 elapsed time 06:27:16
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