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# C210_500xx567_5

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May 1st, 2018
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__Sign Up__- Sat Apr 28 15:28:31 2018 Msieve v. 1.53 (SVN unknown)
- Sat Apr 28 15:28:31 2018 random seeds: f4f3907f ccde97a0
- Sat Apr 28 15:28:31 2018 factoring 638531150048518923065120183488140703112422978491715931518839814003388545457488057653017822065341955284418857292533822302210062216125158495392470471846808604938914216715579937131054696685606782262054046990707521 (210 digits)
- Sat Apr 28 15:28:32 2018 searching for 15-digit factors
- Sat Apr 28 15:28:33 2018 commencing number field sieve (210-digit input)
- Sat Apr 28 15:28:33 2018 R0: 5008222592773727579144925037437049294195177974568327567
- Sat Apr 28 15:28:33 2018 R1: -1
- Sat Apr 28 15:28:33 2018 A0: 1
- Sat Apr 28 15:28:33 2018 A1: 1
- Sat Apr 28 15:28:33 2018 A2: 1
- Sat Apr 28 15:28:33 2018 A3: 1
- Sat Apr 28 15:28:33 2018 A4: 1
- Sat Apr 28 15:28:33 2018 skew 1.00, size 2.699e-22, alpha 1.694, combined = 2.670e-13 rroots = 0
- Sat Apr 28 15:28:33 2018
- Sat Apr 28 15:28:33 2018 commencing relation filtering
- Sat Apr 28 15:28:33 2018 setting target matrix density to 108.0
- Sat Apr 28 15:28:33 2018 estimated available RAM is 15997.3 MB
- Sat Apr 28 15:28:33 2018 commencing duplicate removal, pass 1
- Sat Apr 28 15:41:45 2018 error -1 reading relation 121661767
- Sat Apr 28 15:41:45 2018 error -1 reading relation 121661769
- [ . . . deleted 5300 lines of mostly -1 & -11 errors . . . ]
- Sat Apr 28 15:43:37 2018 error -5 reading relation 138829388
- Sat Apr 28 15:48:40 2018 error -15 reading relation 185333680
- Sat Apr 28 15:48:43 2018 error -1 reading relation 185827422
- Sat Apr 28 15:49:27 2018 skipped 484 relations with b > 2^32
- Sat Apr 28 15:49:27 2018 skipped 7744 relations with composite factors
- Sat Apr 28 15:49:27 2018 found 8093582 hash collisions in 192046081 relations
- Sat Apr 28 15:49:27 2018 commencing duplicate removal, pass 2
- Sat Apr 28 15:50:16 2018 found 0 duplicates and 192046081 unique relations
- Sat Apr 28 15:50:16 2018 memory use: 522.4 MB
- Sat Apr 28 15:50:16 2018 reading ideals above 133890048
- Sat Apr 28 15:50:16 2018 commencing singleton removal, initial pass
- Sat Apr 28 16:05:20 2018 memory use: 3012.0 MB
- Sat Apr 28 16:05:20 2018 reading all ideals from disk
- Sat Apr 28 16:05:27 2018 memory use: 3489.7 MB
- Sat Apr 28 16:05:34 2018 commencing in-memory singleton removal
- Sat Apr 28 16:05:41 2018 begin with 192046081 relations and 158222835 unique ideals
- Sat Apr 28 16:06:55 2018 reduce to 128638349 relations and 88550723 ideals in 14 passes
- Sat Apr 28 16:06:55 2018 max relations containing the same ideal: 51
- Sat Apr 28 16:07:01 2018 reading ideals above 720000
- Sat Apr 28 16:07:01 2018 commencing singleton removal, initial pass
- Sat Apr 28 16:19:49 2018 memory use: 2756.0 MB
- Sat Apr 28 16:19:49 2018 reading all ideals from disk
- Sat Apr 28 16:20:00 2018 memory use: 4986.4 MB
- Sat Apr 28 16:20:13 2018 keeping 103100178 ideals with weight <= 200, target excess is 621744
- Sat Apr 28 16:20:26 2018 commencing in-memory singleton removal
- Sat Apr 28 16:20:36 2018 begin with 128638349 relations and 103100178 unique ideals
- Sat Apr 28 16:21:32 2018 reduce to 128636515 relations and 103098341 ideals in 6 passes
- Sat Apr 28 16:21:32 2018 max relations containing the same ideal: 200
- Sat Apr 28 16:22:21 2018 removing 10566060 relations and 8566060 ideals in 2000000 cliques
- Sat Apr 28 16:22:24 2018 commencing in-memory singleton removal
- Sat Apr 28 16:22:34 2018 begin with 118070455 relations and 103098341 unique ideals
- Sat Apr 28 16:23:43 2018 reduce to 117361595 relations and 93808629 ideals in 8 passes
- Sat Apr 28 16:23:43 2018 max relations containing the same ideal: 197
- Sat Apr 28 16:24:28 2018 removing 8069571 relations and 6069571 ideals in 2000000 cliques
- Sat Apr 28 16:24:31 2018 commencing in-memory singleton removal
- Sat Apr 28 16:24:38 2018 begin with 109292024 relations and 93808629 unique ideals
- Sat Apr 28 16:25:30 2018 reduce to 108821157 relations and 87259755 ideals in 7 passes
- Sat Apr 28 16:25:30 2018 max relations containing the same ideal: 188
- Sat Apr 28 16:26:09 2018 removing 7335739 relations and 5335739 ideals in 2000000 cliques
- Sat Apr 28 16:26:11 2018 commencing in-memory singleton removal
- Sat Apr 28 16:26:18 2018 begin with 101485418 relations and 87259755 unique ideals
- Sat Apr 28 16:27:05 2018 reduce to 101069022 relations and 81500177 ideals in 7 passes
- Sat Apr 28 16:27:05 2018 max relations containing the same ideal: 181
- Sat Apr 28 16:27:42 2018 removing 6963408 relations and 4963408 ideals in 2000000 cliques
- Sat Apr 28 16:27:44 2018 commencing in-memory singleton removal
- Sat Apr 28 16:27:50 2018 begin with 94105614 relations and 81500177 unique ideals
- Sat Apr 28 16:28:34 2018 reduce to 93710951 relations and 76134577 ideals in 7 passes
- Sat Apr 28 16:28:34 2018 max relations containing the same ideal: 172
- Sat Apr 28 16:29:08 2018 removing 6745560 relations and 4745560 ideals in 2000000 cliques
- Sat Apr 28 16:29:10 2018 commencing in-memory singleton removal
- Sat Apr 28 16:29:16 2018 begin with 86965391 relations and 76134577 unique ideals
- Sat Apr 28 16:29:55 2018 reduce to 86573883 relations and 70989712 ideals in 7 passes
- Sat Apr 28 16:29:55 2018 max relations containing the same ideal: 167
- Sat Apr 28 16:30:27 2018 removing 6611291 relations and 4611291 ideals in 2000000 cliques
- Sat Apr 28 16:30:29 2018 commencing in-memory singleton removal
- Sat Apr 28 16:30:34 2018 begin with 79962592 relations and 70989712 unique ideals
- Sat Apr 28 16:31:10 2018 reduce to 79559719 relations and 65967159 ideals in 7 passes
- Sat Apr 28 16:31:10 2018 max relations containing the same ideal: 157
- Sat Apr 28 16:31:39 2018 removing 6532312 relations and 4532312 ideals in 2000000 cliques
- Sat Apr 28 16:31:41 2018 commencing in-memory singleton removal
- Sat Apr 28 16:31:46 2018 begin with 73027407 relations and 65967159 unique ideals
- Sat Apr 28 16:32:23 2018 reduce to 72606202 relations and 61004032 ideals in 8 passes
- Sat Apr 28 16:32:23 2018 max relations containing the same ideal: 150
- Sat Apr 28 16:32:50 2018 removing 6493885 relations and 4493885 ideals in 2000000 cliques
- Sat Apr 28 16:32:52 2018 commencing in-memory singleton removal
- Sat Apr 28 16:32:56 2018 begin with 66112317 relations and 61004032 unique ideals
- Sat Apr 28 16:33:29 2018 reduce to 65657448 relations and 56044038 ideals in 8 passes
- Sat Apr 28 16:33:29 2018 max relations containing the same ideal: 142
- Sat Apr 28 16:33:53 2018 removing 6497221 relations and 4497221 ideals in 2000000 cliques
- Sat Apr 28 16:33:55 2018 commencing in-memory singleton removal
- Sat Apr 28 16:33:59 2018 begin with 59160227 relations and 56044038 unique ideals
- Sat Apr 28 16:34:28 2018 reduce to 58659748 relations and 51032846 ideals in 8 passes
- Sat Apr 28 16:34:28 2018 max relations containing the same ideal: 129
- Sat Apr 28 16:34:50 2018 removing 6530812 relations and 4530812 ideals in 2000000 cliques
- Sat Apr 28 16:34:52 2018 commencing in-memory singleton removal
- Sat Apr 28 16:34:55 2018 begin with 52128936 relations and 51032846 unique ideals
- Sat Apr 28 16:35:21 2018 reduce to 51562335 relations and 45918258 ideals in 8 passes
- Sat Apr 28 16:35:21 2018 max relations containing the same ideal: 121
- Sat Apr 28 16:35:40 2018 removing 6605356 relations and 4605356 ideals in 2000000 cliques
- Sat Apr 28 16:35:42 2018 commencing in-memory singleton removal
- Sat Apr 28 16:35:45 2018 begin with 44956979 relations and 45918258 unique ideals
- Sat Apr 28 16:36:12 2018 reduce to 44297605 relations and 40630931 ideals in 10 passes
- Sat Apr 28 16:36:12 2018 max relations containing the same ideal: 107
- Sat Apr 28 16:36:29 2018 removing 6707428 relations and 4707428 ideals in 2000000 cliques
- Sat Apr 28 16:36:30 2018 commencing in-memory singleton removal
- Sat Apr 28 16:36:33 2018 begin with 37590177 relations and 40630931 unique ideals
- Sat Apr 28 16:36:53 2018 reduce to 36786149 relations and 35087478 ideals in 9 passes
- Sat Apr 28 16:36:53 2018 max relations containing the same ideal: 94
- Sat Apr 28 16:37:07 2018 removing 3925275 relations and 2947828 ideals in 977447 cliques
- Sat Apr 28 16:37:08 2018 commencing in-memory singleton removal
- Sat Apr 28 16:37:10 2018 begin with 32860874 relations and 35087478 unique ideals
- Sat Apr 28 16:37:25 2018 reduce to 32536386 relations and 31807231 ideals in 8 passes
- Sat Apr 28 16:37:25 2018 max relations containing the same ideal: 85
- Sat Apr 28 16:37:42 2018 relations with 0 large ideals: 49612
- Sat Apr 28 16:37:42 2018 relations with 1 large ideals: 9211
- Sat Apr 28 16:37:42 2018 relations with 2 large ideals: 112247
- Sat Apr 28 16:37:42 2018 relations with 3 large ideals: 763160
- Sat Apr 28 16:37:42 2018 relations with 4 large ideals: 2881403
- Sat Apr 28 16:37:42 2018 relations with 5 large ideals: 7576006
- Sat Apr 28 16:37:42 2018 relations with 6 large ideals: 8572688
- Sat Apr 28 16:37:42 2018 relations with 7+ large ideals: 12572059
- Sat Apr 28 16:37:42 2018 commencing 2-way merge
- Sat Apr 28 16:37:57 2018 reduce to 21133323 relation sets and 20404168 unique ideals
- Sat Apr 28 16:37:57 2018 commencing full merge
- Sat Apr 28 16:44:21 2018 memory use: 2584.7 MB
- Sat Apr 28 16:44:23 2018 found 9537569 cycles, need 9524368
- Sat Apr 28 16:44:25 2018 weight of 9524368 cycles is about 1029160784 (108.06/cycle)
- Sat Apr 28 16:44:25 2018 distribution of cycle lengths:
- Sat Apr 28 16:44:25 2018 1 relations: 537427
- Sat Apr 28 16:44:25 2018 2 relations: 632493
- Sat Apr 28 16:44:25 2018 3 relations: 679253
- Sat Apr 28 16:44:25 2018 4 relations: 684426
- Sat Apr 28 16:44:25 2018 5 relations: 677536
- Sat Apr 28 16:44:25 2018 6 relations: 667817
- Sat Apr 28 16:44:25 2018 7 relations: 647551
- Sat Apr 28 16:44:25 2018 8 relations: 616624
- Sat Apr 28 16:44:25 2018 9 relations: 582553
- Sat Apr 28 16:44:25 2018 10+ relations: 3798688
- Sat Apr 28 16:44:25 2018 heaviest cycle: 28 relations
- Sat Apr 28 16:44:27 2018 commencing cycle optimization
- Sat Apr 28 16:44:42 2018 start with 84367734 relations
- Sat Apr 28 16:47:24 2018 pruned 3783004 relations
- Sat Apr 28 16:47:24 2018 memory use: 2210.5 MB
- Sat Apr 28 16:47:24 2018 distribution of cycle lengths:
- Sat Apr 28 16:47:24 2018 1 relations: 537427
- Sat Apr 28 16:47:24 2018 2 relations: 645041
- Sat Apr 28 16:47:24 2018 3 relations: 705809
- Sat Apr 28 16:47:24 2018 4 relations: 710800
- Sat Apr 28 16:47:24 2018 5 relations: 709942
- Sat Apr 28 16:47:24 2018 6 relations: 699383
- Sat Apr 28 16:47:24 2018 7 relations: 679739
- Sat Apr 28 16:47:24 2018 8 relations: 645674
- Sat Apr 28 16:47:24 2018 9 relations: 610051
- Sat Apr 28 16:47:24 2018 10+ relations: 3580502
- Sat Apr 28 16:47:24 2018 heaviest cycle: 28 relations
- Sat Apr 28 16:47:37 2018 RelProcTime: 4744
- Sat Apr 28 16:47:37 2018
- Sat Apr 28 16:47:37 2018 commencing linear algebra
- Sat Apr 28 16:47:41 2018 read 9524368 cycles
- Sat Apr 28 16:47:58 2018 cycles contain 32047625 unique relations
- Sat Apr 28 16:50:22 2018 read 32047625 relations
- Sat Apr 28 16:51:05 2018 using 20 quadratic characters above 4294917295
- Sat Apr 28 16:52:56 2018 building initial matrix
- Sat Apr 28 16:57:13 2018 memory use: 3905.9 MB
- Sat Apr 28 16:57:16 2018 read 9524368 cycles
- Sat Apr 28 16:57:18 2018 matrix is 9524191 x 9524368 (4094.0 MB) with weight 1178758208 (123.76/col)
- Sat Apr 28 16:57:18 2018 sparse part has weight 968450762 (101.68/col)
- Sat Apr 28 16:58:44 2018 filtering completed in 2 passes
- Sat Apr 28 16:58:46 2018 matrix is 9524016 x 9524193 (4094.0 MB) with weight 1178752137 (123.76/col)
- Sat Apr 28 16:58:46 2018 sparse part has weight 968448665 (101.68/col)
- Sat Apr 28 16:59:06 2018 matrix starts at (0, 0)
- Sat Apr 28 16:59:07 2018 matrix is 9524016 x 9524193 (4094.0 MB) with weight 1178752137 (123.76/col)
- Sat Apr 28 16:59:07 2018 sparse part has weight 968448665 (101.68/col)
- Sat Apr 28 16:59:07 2018 saving the first 48 matrix rows for later
- Sat Apr 28 16:59:09 2018 matrix includes 64 packed rows
- Sat Apr 28 16:59:10 2018 matrix is 9523968 x 9524193 (3919.9 MB) with weight 1004274778 (105.44/col)
- Sat Apr 28 16:59:10 2018 sparse part has weight 932338869 (97.89/col)
- Sat Apr 28 16:59:10 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Sat Apr 28 16:59:41 2018 commencing Lanczos iteration (4 threads)
- Sat Apr 28 16:59:41 2018 memory use: 3326.6 MB
- Sat Apr 28 17:00:18 2018 linear algebra at 0.0%, ETA 60h59m
- Sat Apr 28 17:00:30 2018 checkpointing every 160000 dimensions
- Tue May 1 06:42:53 2018 lanczos halted after 150612 iterations (dim = 9523966)
- Tue May 1 06:43:02 2018 recovered 35 nontrivial dependencies
- Tue May 1 06:43:02 2018 BLanczosTime: 222925
- Tue May 1 06:43:02 2018
- Tue May 1 06:43:02 2018 commencing square root phase
- Tue May 1 06:43:02 2018 handling dependencies 1 to 64
- Tue May 1 06:43:02 2018 reading relations for dependency 1
- Tue May 1 06:43:03 2018 read 4762532 cycles
- Tue May 1 06:43:10 2018 cycles contain 16027158 unique relations
- Tue May 1 06:44:29 2018 read 16027158 relations
- Tue May 1 06:45:20 2018 multiplying 16027158 relations
- Tue May 1 06:49:49 2018 multiply complete, coefficients have about 407.03 million bits
- Tue May 1 06:49:50 2018 initial square root is modulo 20110927
- Tue May 1 06:55:33 2018 sqrtTime: 751
- Tue May 1 06:55:33 2018 p98 factor: 12837117435988105305352692480970872514588067417738268709928791841780650804503772190920826269922231
- Tue May 1 06:55:33 2018 p113 factor: 49741007140624445803855264673930250246712417281218356899611032127466837537362048709147008862353911178319651899591
- Tue May 1 06:55:33 2018 elapsed time 63:27:02

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