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- Thu May 26 23:54:52 2022
- Thu May 26 23:54:52 2022
- Thu May 26 23:54:52 2022 Msieve v. 1.53 (SVN unknown)
- Thu May 26 23:54:52 2022 random seeds: 5b4858e8 10393538
- Thu May 26 23:54:52 2022 factoring 474377312845714036494730860786888346696933298099726025041402270341913296488453454285047942962414364721134414019634036757735423878317481941527080253498816527130617822483052630590856358782308389828169 (198 digits)
- Thu May 26 23:54:53 2022 searching for 15-digit factors
- Thu May 26 23:54:54 2022 commencing number field sieve (198-digit input)
- Thu May 26 23:54:54 2022 R0: 44601490397061246283071436545296723011960832
- Thu May 26 23:54:54 2022 R1: -256923577521058878088611477224235621321607
- Thu May 26 23:54:54 2022 A0: 1
- Thu May 26 23:54:54 2022 A1: 0
- Thu May 26 23:54:54 2022 A2: 0
- Thu May 26 23:54:54 2022 A3: 0
- Thu May 26 23:54:54 2022 A4: 0
- Thu May 26 23:54:54 2022 A5: 0
- Thu May 26 23:54:54 2022 A6: 3136
- Thu May 26 23:54:54 2022 skew 0.26, size 3.398e-13, alpha 0.109, combined = 5.270e-14 rroots = 0
- Thu May 26 23:54:54 2022
- Thu May 26 23:54:54 2022 commencing relation filtering
- Thu May 26 23:54:54 2022 setting target matrix density to 120.0
- Thu May 26 23:54:54 2022 estimated available RAM is 32721.3 MB
- Thu May 26 23:54:54 2022 commencing duplicate removal, pass 1
- Thu May 26 23:57:01 2022 error -15 reading relation 9077299
- Thu May 26 23:58:40 2022 error -9 reading relation 16084581
- Thu May 26 23:58:40 2022 error -9 reading relation 16101233
- Fri May 27 00:00:41 2022 error -9 reading relation 24701220
- Fri May 27 01:34:09 2022 error -5 reading relation 423456633
- Fri May 27 01:34:10 2022 error -9 reading relation 423573673
- Fri May 27 01:34:21 2022 error -9 reading relation 424354385
- Fri May 27 01:34:23 2022 error -15 reading relation 424461307
- Fri May 27 01:34:37 2022 error -15 reading relation 425477468
- Fri May 27 01:34:57 2022 error -15 reading relation 426886217
- Fri May 27 01:38:37 2022 skipped 12196 relations with b > 2^32
- Fri May 27 01:38:37 2022 skipped 103 relations with composite factors
- Fri May 27 01:38:37 2022 found 100567612 hash collisions in 441246426 relations
- Fri May 27 01:38:58 2022 commencing duplicate removal, pass 2
- Fri May 27 01:46:50 2022 found 97846120 duplicates and 343400306 unique relations
- Fri May 27 01:46:50 2022 memory use: 2387.0 MB
- Fri May 27 01:46:50 2022 reading ideals above 210960384
- Fri May 27 01:46:50 2022 commencing singleton removal, initial pass
- Fri May 27 02:47:42 2022 memory use: 6024.0 MB
- Fri May 27 02:47:42 2022 reading all ideals from disk
- Fri May 27 02:48:26 2022 memory use: 6267.9 MB
- Fri May 27 02:48:42 2022 commencing in-memory singleton removal
- Fri May 27 02:48:58 2022 begin with 343400306 relations and 309132049 unique ideals
- Fri May 27 02:52:00 2022 reduce to 200953106 relations and 149946218 ideals in 17 passes
- Fri May 27 02:52:00 2022 max relations containing the same ideal: 49
- Fri May 27 02:52:19 2022 reading ideals above 720000
- Fri May 27 02:52:19 2022 commencing singleton removal, initial pass
- Fri May 27 03:52:42 2022 memory use: 5512.0 MB
- Fri May 27 03:52:42 2022 reading all ideals from disk
- Fri May 27 03:54:07 2022 memory use: 8381.2 MB
- Fri May 27 03:54:34 2022 keeping 172191557 ideals with weight <= 200, target excess is 1055271
- Fri May 27 03:55:05 2022 commencing in-memory singleton removal
- Fri May 27 03:55:25 2022 begin with 200953106 relations and 172191557 unique ideals
- Fri May 27 03:57:52 2022 reduce to 200947597 relations and 172186048 ideals in 7 passes
- Fri May 27 03:57:52 2022 max relations containing the same ideal: 200
- Fri May 27 03:59:38 2022 removing 14854383 relations and 12854383 ideals in 2000000 cliques
- Fri May 27 03:59:43 2022 commencing in-memory singleton removal
- Fri May 27 04:00:02 2022 begin with 186093214 relations and 172186048 unique ideals
- Fri May 27 04:02:40 2022 reduce to 185197696 relations and 158423478 ideals in 8 passes
- Fri May 27 04:02:40 2022 max relations containing the same ideal: 197
- Fri May 27 04:04:19 2022 removing 11114236 relations and 9114236 ideals in 2000000 cliques
- Fri May 27 04:04:24 2022 commencing in-memory singleton removal
- Fri May 27 04:04:41 2022 begin with 174083460 relations and 158423478 unique ideals
- Fri May 27 04:07:07 2022 reduce to 173521858 relations and 148741115 ideals in 8 passes
- Fri May 27 04:07:07 2022 max relations containing the same ideal: 192
- Fri May 27 04:08:39 2022 removing 9950412 relations and 7950412 ideals in 2000000 cliques
- Fri May 27 04:08:43 2022 commencing in-memory singleton removal
- Fri May 27 04:09:00 2022 begin with 163571446 relations and 148741115 unique ideals
- Fri May 27 04:11:33 2022 reduce to 163088853 relations and 140302606 ideals in 9 passes
- Fri May 27 04:11:33 2022 max relations containing the same ideal: 185
- Fri May 27 04:13:02 2022 removing 9331413 relations and 7331413 ideals in 2000000 cliques
- Fri May 27 04:13:06 2022 commencing in-memory singleton removal
- Fri May 27 04:13:21 2022 begin with 153757440 relations and 140302606 unique ideals
- Fri May 27 04:15:29 2022 reduce to 153306149 relations and 132514663 ideals in 8 passes
- Fri May 27 04:15:29 2022 max relations containing the same ideal: 178
- Fri May 27 04:16:51 2022 removing 8938798 relations and 6938798 ideals in 2000000 cliques
- Fri May 27 04:16:55 2022 commencing in-memory singleton removal
- Fri May 27 04:17:09 2022 begin with 144367351 relations and 132514663 unique ideals
- Fri May 27 04:19:07 2022 reduce to 143931259 relations and 125134617 ideals in 8 passes
- Fri May 27 04:19:07 2022 max relations containing the same ideal: 173
- Fri May 27 04:20:26 2022 removing 8675074 relations and 6675074 ideals in 2000000 cliques
- Fri May 27 04:20:29 2022 commencing in-memory singleton removal
- Fri May 27 04:20:42 2022 begin with 135256185 relations and 125134617 unique ideals
- Fri May 27 04:22:34 2022 reduce to 134820162 relations and 118017951 ideals in 8 passes
- Fri May 27 04:22:34 2022 max relations containing the same ideal: 170
- Fri May 27 04:23:46 2022 removing 8490222 relations and 6490222 ideals in 2000000 cliques
- Fri May 27 04:23:50 2022 commencing in-memory singleton removal
- Fri May 27 04:24:02 2022 begin with 126329940 relations and 118017951 unique ideals
- Fri May 27 04:25:33 2022 reduce to 125888827 relations and 111080608 ideals in 7 passes
- Fri May 27 04:25:33 2022 max relations containing the same ideal: 165
- Fri May 27 04:26:42 2022 removing 8361561 relations and 6361561 ideals in 2000000 cliques
- Fri May 27 04:26:45 2022 commencing in-memory singleton removal
- Fri May 27 04:26:57 2022 begin with 117527266 relations and 111080608 unique ideals
- Fri May 27 04:28:32 2022 reduce to 117073865 relations and 104259359 ideals in 8 passes
- Fri May 27 04:28:32 2022 max relations containing the same ideal: 154
- Fri May 27 04:29:36 2022 removing 8278426 relations and 6278426 ideals in 2000000 cliques
- Fri May 27 04:29:39 2022 commencing in-memory singleton removal
- Fri May 27 04:29:50 2022 begin with 108795439 relations and 104259359 unique ideals
- Fri May 27 04:31:06 2022 reduce to 108322135 relations and 97500531 ideals in 7 passes
- Fri May 27 04:31:06 2022 max relations containing the same ideal: 141
- Fri May 27 04:32:05 2022 removing 8228257 relations and 6228257 ideals in 2000000 cliques
- Fri May 27 04:32:08 2022 commencing in-memory singleton removal
- Fri May 27 04:32:18 2022 begin with 100093878 relations and 97500531 unique ideals
- Fri May 27 04:33:28 2022 reduce to 99593208 relations and 90763586 ideals in 7 passes
- Fri May 27 04:33:28 2022 max relations containing the same ideal: 136
- Fri May 27 04:34:24 2022 removing 8207446 relations and 6207446 ideals in 2000000 cliques
- Fri May 27 04:34:27 2022 commencing in-memory singleton removal
- Fri May 27 04:34:35 2022 begin with 91385762 relations and 90763586 unique ideals
- Fri May 27 04:35:47 2022 reduce to 90847834 relations and 84009041 ideals in 8 passes
- Fri May 27 04:35:47 2022 max relations containing the same ideal: 127
- Fri May 27 04:36:37 2022 removing 8212103 relations and 6212103 ideals in 2000000 cliques
- Fri May 27 04:36:40 2022 commencing in-memory singleton removal
- Fri May 27 04:36:48 2022 begin with 82635731 relations and 84009041 unique ideals
- Fri May 27 04:38:01 2022 reduce to 82047749 relations and 77198059 ideals in 9 passes
- Fri May 27 04:38:01 2022 max relations containing the same ideal: 117
- Fri May 27 04:38:47 2022 removing 8245695 relations and 6245695 ideals in 2000000 cliques
- Fri May 27 04:38:49 2022 commencing in-memory singleton removal
- Fri May 27 04:38:57 2022 begin with 73802054 relations and 77198059 unique ideals
- Fri May 27 04:40:02 2022 reduce to 73151238 relations and 70287926 ideals in 9 passes
- Fri May 27 04:40:02 2022 max relations containing the same ideal: 110
- Fri May 27 04:40:43 2022 removing 7079519 relations and 5440322 ideals in 1639197 cliques
- Fri May 27 04:40:45 2022 commencing in-memory singleton removal
- Fri May 27 04:40:51 2022 begin with 66071719 relations and 70287926 unique ideals
- Fri May 27 04:41:49 2022 reduce to 65544544 relations and 64310451 ideals in 9 passes
- Fri May 27 04:41:49 2022 max relations containing the same ideal: 102
- Fri May 27 04:42:26 2022 removing 93299 relations and 83321 ideals in 9978 cliques
- Fri May 27 04:42:27 2022 commencing in-memory singleton removal
- Fri May 27 04:42:33 2022 begin with 65451245 relations and 64310451 unique ideals
- Fri May 27 04:42:58 2022 reduce to 65451169 relations and 64227054 ideals in 4 passes
- Fri May 27 04:42:58 2022 max relations containing the same ideal: 102
- Fri May 27 04:43:15 2022 relations with 0 large ideals: 39370
- Fri May 27 04:43:15 2022 relations with 1 large ideals: 13887
- Fri May 27 04:43:15 2022 relations with 2 large ideals: 163851
- Fri May 27 04:43:15 2022 relations with 3 large ideals: 1187406
- Fri May 27 04:43:15 2022 relations with 4 large ideals: 4731383
- Fri May 27 04:43:15 2022 relations with 5 large ideals: 11275036
- Fri May 27 04:43:15 2022 relations with 6 large ideals: 16837570
- Fri May 27 04:43:15 2022 relations with 7+ large ideals: 31202666
- Fri May 27 04:43:15 2022 commencing 2-way merge
- Fri May 27 04:44:04 2022 reduce to 40671482 relation sets and 39447367 unique ideals
- Fri May 27 04:44:04 2022 commencing full merge
- Fri May 27 05:05:10 2022 memory use: 5324.9 MB
- Fri May 27 05:05:15 2022 found 18409804 cycles, need 18391567
- Fri May 27 05:05:17 2022 weight of 18391567 cycles is about 2207259912 (120.01/cycle)
- Fri May 27 05:05:17 2022 distribution of cycle lengths:
- Fri May 27 05:05:17 2022 1 relations: 1162305
- Fri May 27 05:05:17 2022 2 relations: 1323975
- Fri May 27 05:05:17 2022 3 relations: 1390257
- Fri May 27 05:05:17 2022 4 relations: 1367258
- Fri May 27 05:05:17 2022 5 relations: 1338169
- Fri May 27 05:05:17 2022 6 relations: 1284011
- Fri May 27 05:05:17 2022 7 relations: 1231493
- Fri May 27 05:05:17 2022 8 relations: 1165012
- Fri May 27 05:05:17 2022 9 relations: 1095193
- Fri May 27 05:05:17 2022 10+ relations: 7033894
- Fri May 27 05:05:17 2022 heaviest cycle: 28 relations
- Fri May 27 05:05:22 2022 commencing cycle optimization
- Fri May 27 05:05:57 2022 start with 158536259 relations
- Fri May 27 05:14:22 2022 pruned 6364205 relations
- Fri May 27 05:14:22 2022 memory use: 4325.7 MB
- Fri May 27 05:14:22 2022 distribution of cycle lengths:
- Fri May 27 05:14:22 2022 1 relations: 1162305
- Fri May 27 05:14:22 2022 2 relations: 1353131
- Fri May 27 05:14:22 2022 3 relations: 1444019
- Fri May 27 05:14:22 2022 4 relations: 1414301
- Fri May 27 05:14:22 2022 5 relations: 1393068
- Fri May 27 05:14:22 2022 6 relations: 1332844
- Fri May 27 05:14:22 2022 7 relations: 1282639
- Fri May 27 05:14:22 2022 8 relations: 1209577
- Fri May 27 05:14:22 2022 9 relations: 1135470
- Fri May 27 05:14:22 2022 10+ relations: 6664213
- Fri May 27 05:14:22 2022 heaviest cycle: 28 relations
- Fri May 27 05:15:35 2022 RelProcTime: 19241
- Fri May 27 05:15:35 2022
- Fri May 27 05:15:35 2022 commencing linear algebra
- Fri May 27 05:15:38 2022 read 18391567 cycles
- Fri May 27 05:16:24 2022 cycles contain 64636194 unique relations
- Fri May 27 05:28:15 2022 read 64636194 relations
- Fri May 27 05:31:03 2022 using 20 quadratic characters above 4294917295
- Fri May 27 05:35:33 2022 building initial matrix
- Fri May 27 05:49:46 2022 memory use: 8075.3 MB
- Fri May 27 05:50:27 2022 read 18391567 cycles
- Fri May 27 05:50:32 2022 matrix is 18391390 x 18391567 (8676.2 MB) with weight 2470028815 (134.30/col)
- Fri May 27 05:50:32 2022 sparse part has weight 2072108552 (112.67/col)
- Fri May 27 05:55:35 2022 filtering completed in 2 passes
- Fri May 27 05:55:41 2022 matrix is 18391136 x 18391313 (8676.2 MB) with weight 2470020817 (134.30/col)
- Fri May 27 05:55:41 2022 sparse part has weight 2072106246 (112.67/col)
- Fri May 27 05:58:04 2022 matrix starts at (0, 0)
- Fri May 27 05:58:09 2022 matrix is 18391136 x 18391313 (8676.2 MB) with weight 2470020817 (134.30/col)
- Fri May 27 05:58:09 2022 sparse part has weight 2072106246 (112.67/col)
- Fri May 27 05:58:09 2022 saving the first 48 matrix rows for later
- Fri May 27 05:58:15 2022 matrix includes 64 packed rows
- Fri May 27 05:58:19 2022 matrix is 18391088 x 18391313 (8322.5 MB) with weight 2133916751 (116.03/col)
- Fri May 27 05:58:19 2022 sparse part has weight 1997788929 (108.63/col)
- Fri May 27 05:58:19 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Fri May 27 06:00:43 2022 commencing Lanczos iteration (8 threads)
- Fri May 27 06:00:43 2022 memory use: 7170.8 MB
- Fri May 27 06:02:33 2022 linear algebra at 0.0%, ETA 352h10m
- Fri May 27 06:03:09 2022 checkpointing every 60000 dimensions
- Sat Jun 11 01:32:10 2022 lanczos halted after 290833 iterations (dim = 18391084)
- Sat Jun 11 01:33:16 2022 recovered 37 nontrivial dependencies
- Sat Jun 11 01:33:50 2022 BLanczosTime: 1282695
- Sat Jun 11 01:33:50 2022
- Sat Jun 11 01:33:50 2022 commencing square root phase
- Sat Jun 11 01:33:50 2022 handling dependencies 1 to 64
- Sat Jun 11 01:33:50 2022 reading relations for dependency 1
- Sat Jun 11 01:33:54 2022 read 9195811 cycles
- Sat Jun 11 01:34:16 2022 cycles contain 32319358 unique relations
- Sat Jun 11 01:42:08 2022 read 32319358 relations
- Sat Jun 11 01:45:19 2022 multiplying 32319358 relations
- Sat Jun 11 02:25:08 2022 multiply complete, coefficients have about 1191.72 million bits
- Sat Jun 11 02:25:15 2022 initial square root is modulo 221719
- Sat Jun 11 03:08:48 2022 sqrtTime: 5698
- Sat Jun 11 03:08:48 2022 p63 factor: 106211316554164128394197503246941468295190747630652675430425897
- Sat Jun 11 03:08:48 2022 p136 factor: 4466353758111998151218152488705865526771980903942759976407431488719616609558052056570079159885873718290393009778377702622309719458745377
- Sat Jun 11 03:08:48 2022 elapsed time 363:13:56
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