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__Sign Up__- Fri Nov 21 16:31:26 2014
- Fri Nov 21 16:31:26 2014
- Fri Nov 21 16:31:26 2014 Msieve v. 1.52 (SVN 946)
- Fri Nov 21 16:31:26 2014 random seeds: bb3056e4 793887ee
- Fri Nov 21 16:31:26 2014 factoring 1107972832662254181660956090871308914371407404158563623932116716095407585886352381489288668680757241985761541897472137679478496939619016262026112845301348438823765352927255153357517537896613472597555528269 (205 digits)
- Fri Nov 21 16:31:27 2014 no P-1/P+1/ECM available, skipping
- Fri Nov 21 16:31:27 2014 commencing number field sieve (205-digit input)
- Fri Nov 21 16:31:27 2014 R0: -4849687664788584363858837602739217760256
- Fri Nov 21 16:31:27 2014 R1: 1
- Fri Nov 21 16:31:27 2014 A0: 1
- Fri Nov 21 16:31:27 2014 A1: 0
- Fri Nov 21 16:31:27 2014 A2: 0
- Fri Nov 21 16:31:27 2014 A3: 0
- Fri Nov 21 16:31:27 2014 A4: 0
- Fri Nov 21 16:31:27 2014 A5: 0
- Fri Nov 21 16:31:27 2014 A6: 306
- Fri Nov 21 16:31:27 2014 skew 1.00, size 7.407e-012, alpha -0.193, combined = 5.054e-013 rroots = 0
- Fri Nov 21 16:31:27 2014
- Fri Nov 21 16:31:27 2014 commencing relation filtering
- Fri Nov 21 16:31:27 2014 setting target matrix density to 130.0
- Fri Nov 21 16:31:27 2014 estimated available RAM is 16364.5 MB
- Fri Nov 21 16:31:27 2014 commencing duplicate removal, pass 1
- <errors reading relations>
- Fri Nov 21 17:12:23 2014 skipped 335 relations with b > 2^32
- Fri Nov 21 17:12:23 2014 found 54664619 hash collisions in 280172486 relations
- Fri Nov 21 17:12:42 2014 commencing duplicate removal, pass 2
- Fri Nov 21 17:15:46 2014 found 51803276 duplicates and 228369210 unique relations
- Fri Nov 21 17:15:46 2014 memory use: 1449.5 MB
- Fri Nov 21 17:15:46 2014 reading ideals above 139919360
- Fri Nov 21 17:15:46 2014 commencing singleton removal, initial pass
- Fri Nov 21 17:51:25 2014 memory use: 5512.0 MB
- Fri Nov 21 17:51:25 2014 reading all ideals from disk
- Fri Nov 21 17:51:36 2014 memory use: 3861.5 MB
- Fri Nov 21 17:51:47 2014 commencing in-memory singleton removal
- Fri Nov 21 17:51:58 2014 begin with 228369210 relations and 166640335 unique ideals
- Fri Nov 21 17:53:35 2014 reduce to 170742959 relations and 104581998 ideals in 11 passes
- Fri Nov 21 17:53:35 2014 max relations containing the same ideal: 52
- Fri Nov 21 17:53:48 2014 reading ideals above 720000
- Fri Nov 21 17:53:49 2014 commencing singleton removal, initial pass
- Fri Nov 21 18:26:07 2014 memory use: 3012.0 MB
- Fri Nov 21 18:26:07 2014 reading all ideals from disk
- Fri Nov 21 18:26:29 2014 memory use: 6611.8 MB
- Fri Nov 21 18:26:52 2014 keeping 119531784 ideals with weight <= 200, target excess is 864796
- Fri Nov 21 18:27:15 2014 commencing in-memory singleton removal
- Fri Nov 21 18:27:32 2014 begin with 170742959 relations and 119531784 unique ideals
- Fri Nov 21 18:29:25 2014 reduce to 170742864 relations and 119531689 ideals in 7 passes
- Fri Nov 21 18:29:25 2014 max relations containing the same ideal: 200
- Fri Nov 21 18:30:42 2014 removing 8944647 relations and 6944647 ideals in 2000000 cliques
- Fri Nov 21 18:30:44 2014 commencing in-memory singleton removal
- Fri Nov 21 18:31:02 2014 begin with 161798217 relations and 119531689 unique ideals
- Fri Nov 21 18:32:50 2014 reduce to 161432015 relations and 112215268 ideals in 7 passes
- Fri Nov 21 18:32:50 2014 max relations containing the same ideal: 199
- Fri Nov 21 18:34:03 2014 removing 6895140 relations and 4895140 ideals in 2000000 cliques
- Fri Nov 21 18:34:05 2014 commencing in-memory singleton removal
- Fri Nov 21 18:34:21 2014 begin with 154536875 relations and 112215268 unique ideals
- Fri Nov 21 18:35:48 2014 reduce to 154290119 relations and 107070079 ideals in 6 passes
- Fri Nov 21 18:35:48 2014 max relations containing the same ideal: 195
- Fri Nov 21 18:36:57 2014 removing 6325049 relations and 4325049 ideals in 2000000 cliques
- Fri Nov 21 18:36:59 2014 commencing in-memory singleton removal
- Fri Nov 21 18:37:14 2014 begin with 147965070 relations and 107070079 unique ideals
- Fri Nov 21 18:38:49 2014 reduce to 147755318 relations and 102532548 ideals in 7 passes
- Fri Nov 21 18:38:49 2014 max relations containing the same ideal: 194
- Fri Nov 21 18:39:54 2014 removing 6024872 relations and 4024872 ideals in 2000000 cliques
- Fri Nov 21 18:39:56 2014 commencing in-memory singleton removal
- Fri Nov 21 18:40:10 2014 begin with 141730446 relations and 102532548 unique ideals
- Fri Nov 21 18:41:14 2014 reduce to 141539775 relations and 98314452 ideals in 5 passes
- Fri Nov 21 18:41:14 2014 max relations containing the same ideal: 188
- Fri Nov 21 18:42:16 2014 removing 5828105 relations and 3828105 ideals in 2000000 cliques
- Fri Nov 21 18:42:18 2014 commencing in-memory singleton removal
- Fri Nov 21 18:42:31 2014 begin with 135711670 relations and 98314452 unique ideals
- Fri Nov 21 18:43:44 2014 reduce to 135533614 relations and 94305951 ideals in 6 passes
- Fri Nov 21 18:43:44 2014 max relations containing the same ideal: 185
- Fri Nov 21 18:44:43 2014 removing 5691806 relations and 3691806 ideals in 2000000 cliques
- Fri Nov 21 18:44:46 2014 commencing in-memory singleton removal
- Fri Nov 21 18:44:58 2014 begin with 129841808 relations and 94305951 unique ideals
- Fri Nov 21 18:46:06 2014 reduce to 129671063 relations and 90440931 ideals in 6 passes
- Fri Nov 21 18:46:06 2014 max relations containing the same ideal: 179
- Fri Nov 21 18:47:03 2014 removing 5583203 relations and 3583203 ideals in 2000000 cliques
- Fri Nov 21 18:47:05 2014 commencing in-memory singleton removal
- Fri Nov 21 18:47:17 2014 begin with 124087860 relations and 90440931 unique ideals
- Fri Nov 21 18:48:11 2014 reduce to 123921988 relations and 86689391 ideals in 5 passes
- Fri Nov 21 18:48:11 2014 max relations containing the same ideal: 173
- Fri Nov 21 18:49:05 2014 removing 5497457 relations and 3497457 ideals in 2000000 cliques
- Fri Nov 21 18:49:07 2014 commencing in-memory singleton removal
- Fri Nov 21 18:49:18 2014 begin with 118424531 relations and 86689391 unique ideals
- Fri Nov 21 18:50:08 2014 reduce to 118261740 relations and 83026610 ideals in 5 passes
- Fri Nov 21 18:50:08 2014 max relations containing the same ideal: 167
- Fri Nov 21 18:51:00 2014 removing 5431279 relations and 3431279 ideals in 2000000 cliques
- Fri Nov 21 18:51:02 2014 commencing in-memory singleton removal
- Fri Nov 21 18:51:12 2014 begin with 112830461 relations and 83026610 unique ideals
- Fri Nov 21 18:52:09 2014 reduce to 112667242 relations and 79429359 ideals in 6 passes
- Fri Nov 21 18:52:09 2014 max relations containing the same ideal: 163
- Fri Nov 21 18:52:58 2014 removing 5374700 relations and 3374700 ideals in 2000000 cliques
- Fri Nov 21 18:53:00 2014 commencing in-memory singleton removal
- Fri Nov 21 18:53:10 2014 begin with 107292542 relations and 79429359 unique ideals
- Fri Nov 21 18:54:03 2014 reduce to 107128800 relations and 75888041 ideals in 6 passes
- Fri Nov 21 18:54:03 2014 max relations containing the same ideal: 156
- Fri Nov 21 18:54:50 2014 removing 5328321 relations and 3328321 ideals in 2000000 cliques
- Fri Nov 21 18:54:52 2014 commencing in-memory singleton removal
- Fri Nov 21 18:55:01 2014 begin with 101800479 relations and 75888041 unique ideals
- Fri Nov 21 18:55:51 2014 reduce to 101636460 relations and 72392711 ideals in 6 passes
- Fri Nov 21 18:55:51 2014 max relations containing the same ideal: 153
- Fri Nov 21 18:56:35 2014 removing 5289686 relations and 3289686 ideals in 2000000 cliques
- Fri Nov 21 18:56:36 2014 commencing in-memory singleton removal
- Fri Nov 21 18:56:45 2014 begin with 96346774 relations and 72392711 unique ideals
- Fri Nov 21 18:57:24 2014 reduce to 96180126 relations and 68933227 ideals in 5 passes
- Fri Nov 21 18:57:24 2014 max relations containing the same ideal: 147
- Fri Nov 21 18:58:05 2014 removing 5257824 relations and 3257824 ideals in 2000000 cliques
- Fri Nov 21 18:58:07 2014 commencing in-memory singleton removal
- Fri Nov 21 18:58:15 2014 begin with 90922302 relations and 68933227 unique ideals
- Fri Nov 21 18:58:50 2014 reduce to 90751404 relations and 65501159 ideals in 5 passes
- Fri Nov 21 18:58:50 2014 max relations containing the same ideal: 144
- Fri Nov 21 18:59:29 2014 removing 5228039 relations and 3228039 ideals in 2000000 cliques
- Fri Nov 21 18:59:31 2014 commencing in-memory singleton removal
- Fri Nov 21 18:59:38 2014 begin with 85523365 relations and 65501159 unique ideals
- Fri Nov 21 19:00:12 2014 reduce to 85348389 relations and 62094634 ideals in 5 passes
- Fri Nov 21 19:00:12 2014 max relations containing the same ideal: 138
- Fri Nov 21 19:00:48 2014 removing 5210484 relations and 3210484 ideals in 2000000 cliques
- Fri Nov 21 19:00:49 2014 commencing in-memory singleton removal
- Fri Nov 21 19:00:56 2014 begin with 80137905 relations and 62094634 unique ideals
- Fri Nov 21 19:01:27 2014 reduce to 79955899 relations and 58698273 ideals in 5 passes
- Fri Nov 21 19:01:27 2014 max relations containing the same ideal: 130
- Fri Nov 21 19:02:01 2014 removing 5193181 relations and 3193181 ideals in 2000000 cliques
- Fri Nov 21 19:02:02 2014 commencing in-memory singleton removal
- Fri Nov 21 19:02:08 2014 begin with 74762718 relations and 58698273 unique ideals
- Fri Nov 21 19:02:42 2014 reduce to 74574142 relations and 55312224 ideals in 6 passes
- Fri Nov 21 19:02:42 2014 max relations containing the same ideal: 125
- Fri Nov 21 19:03:14 2014 removing 5180046 relations and 3180046 ideals in 2000000 cliques
- Fri Nov 21 19:03:15 2014 commencing in-memory singleton removal
- Fri Nov 21 19:03:21 2014 begin with 69394096 relations and 55312224 unique ideals
- Fri Nov 21 19:03:52 2014 reduce to 69194146 relations and 51927466 ideals in 6 passes
- Fri Nov 21 19:03:52 2014 max relations containing the same ideal: 120
- Fri Nov 21 19:04:21 2014 removing 5172511 relations and 3172511 ideals in 2000000 cliques
- Fri Nov 21 19:04:23 2014 commencing in-memory singleton removal
- Fri Nov 21 19:04:28 2014 begin with 64021635 relations and 51927466 unique ideals
- Fri Nov 21 19:04:56 2014 reduce to 63811118 relations and 48538967 ideals in 6 passes
- Fri Nov 21 19:04:56 2014 max relations containing the same ideal: 113
- Fri Nov 21 19:05:23 2014 removing 5168061 relations and 3168061 ideals in 2000000 cliques
- Fri Nov 21 19:05:25 2014 commencing in-memory singleton removal
- Fri Nov 21 19:05:29 2014 begin with 58643057 relations and 48538967 unique ideals
- Fri Nov 21 19:05:55 2014 reduce to 58418520 relations and 45140265 ideals in 6 passes
- Fri Nov 21 19:05:55 2014 max relations containing the same ideal: 104
- Fri Nov 21 19:06:20 2014 removing 5166724 relations and 3166724 ideals in 2000000 cliques
- Fri Nov 21 19:06:21 2014 commencing in-memory singleton removal
- Fri Nov 21 19:06:25 2014 begin with 53251796 relations and 45140265 unique ideals
- Fri Nov 21 19:06:48 2014 reduce to 53008211 relations and 41722921 ideals in 6 passes
- Fri Nov 21 19:06:48 2014 max relations containing the same ideal: 98
- Fri Nov 21 19:07:11 2014 removing 5172688 relations and 3172688 ideals in 2000000 cliques
- Fri Nov 21 19:07:12 2014 commencing in-memory singleton removal
- Fri Nov 21 19:07:16 2014 begin with 47835523 relations and 41722921 unique ideals
- Fri Nov 21 19:07:36 2014 reduce to 47569673 relations and 38275899 ideals in 6 passes
- Fri Nov 21 19:07:36 2014 max relations containing the same ideal: 91
- Fri Nov 21 19:07:57 2014 removing 5185833 relations and 3185833 ideals in 2000000 cliques
- Fri Nov 21 19:07:58 2014 commencing in-memory singleton removal
- Fri Nov 21 19:08:03 2014 begin with 42383840 relations and 38275899 unique ideals
- Fri Nov 21 19:08:21 2014 reduce to 42085937 relations and 34781819 ideals in 6 passes
- Fri Nov 21 19:08:21 2014 max relations containing the same ideal: 83
- Fri Nov 21 19:08:39 2014 removing 5202715 relations and 3202715 ideals in 2000000 cliques
- Fri Nov 21 19:08:40 2014 commencing in-memory singleton removal
- Fri Nov 21 19:08:43 2014 begin with 36883222 relations and 34781819 unique ideals
- Fri Nov 21 19:09:01 2014 reduce to 36538778 relations and 31221206 ideals in 7 passes
- Fri Nov 21 19:09:01 2014 max relations containing the same ideal: 78
- Fri Nov 21 19:09:17 2014 removing 5241166 relations and 3241166 ideals in 2000000 cliques
- Fri Nov 21 19:09:18 2014 commencing in-memory singleton removal
- Fri Nov 21 19:09:20 2014 begin with 31297612 relations and 31221206 unique ideals
- Fri Nov 21 19:09:35 2014 reduce to 30879533 relations and 27543372 ideals in 7 passes
- Fri Nov 21 19:09:35 2014 max relations containing the same ideal: 72
- Fri Nov 21 19:09:49 2014 removing 5306287 relations and 3306287 ideals in 2000000 cliques
- Fri Nov 21 19:09:50 2014 commencing in-memory singleton removal
- Fri Nov 21 19:09:52 2014 begin with 25573246 relations and 27543372 unique ideals
- Fri Nov 21 19:10:05 2014 reduce to 25024553 relations and 23659119 ideals in 8 passes
- Fri Nov 21 19:10:05 2014 max relations containing the same ideal: 61
- Fri Nov 21 19:10:16 2014 removing 1283746 relations and 921476 ideals in 362270 cliques
- Fri Nov 21 19:10:17 2014 commencing in-memory singleton removal
- Fri Nov 21 19:10:18 2014 begin with 23740807 relations and 23659119 unique ideals
- Fri Nov 21 19:10:27 2014 reduce to 23672382 relations and 22668171 ideals in 6 passes
- Fri Nov 21 19:10:27 2014 max relations containing the same ideal: 57
- Fri Nov 21 19:10:40 2014 relations with 0 large ideals: 33028
- Fri Nov 21 19:10:40 2014 relations with 1 large ideals: 26724
- Fri Nov 21 19:10:40 2014 relations with 2 large ideals: 313797
- Fri Nov 21 19:10:40 2014 relations with 3 large ideals: 1570121
- Fri Nov 21 19:10:40 2014 relations with 4 large ideals: 4093423
- Fri Nov 21 19:10:40 2014 relations with 5 large ideals: 6245031
- Fri Nov 21 19:10:40 2014 relations with 6 large ideals: 5882183
- Fri Nov 21 19:10:40 2014 relations with 7+ large ideals: 5508075
- Fri Nov 21 19:10:40 2014 commencing 2-way merge
- Fri Nov 21 19:10:53 2014 reduce to 16494324 relation sets and 15490113 unique ideals
- Fri Nov 21 19:10:53 2014 commencing full merge
- Fri Nov 21 19:17:29 2014 memory use: 1961.7 MB
- Fri Nov 21 19:17:31 2014 found 7163175 cycles, need 7114313
- Fri Nov 21 19:17:31 2014 weight of 7114313 cycles is about 925615312 (130.11/cycle)
- Fri Nov 21 19:17:31 2014 distribution of cycle lengths:
- Fri Nov 21 19:17:31 2014 1 relations: 160476
- Fri Nov 21 19:17:31 2014 2 relations: 302831
- Fri Nov 21 19:17:31 2014 3 relations: 402621
- Fri Nov 21 19:17:31 2014 4 relations: 456103
- Fri Nov 21 19:17:31 2014 5 relations: 498663
- Fri Nov 21 19:17:31 2014 6 relations: 517872
- Fri Nov 21 19:17:31 2014 7 relations: 524632
- Fri Nov 21 19:17:31 2014 8 relations: 512921
- Fri Nov 21 19:17:31 2014 9 relations: 490014
- Fri Nov 21 19:17:31 2014 10+ relations: 3248180
- Fri Nov 21 19:17:31 2014 heaviest cycle: 28 relations
- Fri Nov 21 19:17:33 2014 commencing cycle optimization
- Fri Nov 21 19:17:46 2014 start with 69093093 relations
- Fri Nov 21 19:21:16 2014 pruned 4058993 relations
- Fri Nov 21 19:21:16 2014 memory use: 1690.0 MB
- Fri Nov 21 19:21:16 2014 distribution of cycle lengths:
- Fri Nov 21 19:21:16 2014 1 relations: 160476
- Fri Nov 21 19:21:16 2014 2 relations: 311631
- Fri Nov 21 19:21:16 2014 3 relations: 421599
- Fri Nov 21 19:21:16 2014 4 relations: 480301
- Fri Nov 21 19:21:16 2014 5 relations: 531893
- Fri Nov 21 19:21:16 2014 6 relations: 552895
- Fri Nov 21 19:21:16 2014 7 relations: 564632
- Fri Nov 21 19:21:16 2014 8 relations: 550077
- Fri Nov 21 19:21:16 2014 9 relations: 525065
- Fri Nov 21 19:21:16 2014 10+ relations: 3015744
- Fri Nov 21 19:21:16 2014 heaviest cycle: 28 relations
- Fri Nov 21 19:21:29 2014 RelProcTime: 10202
- Fri Nov 21 19:21:29 2014
- Fri Nov 21 19:21:29 2014 commencing linear algebra
- Fri Nov 21 19:21:30 2014 read 7114313 cycles
- Fri Nov 21 19:21:45 2014 cycles contain 23251617 unique relations
- Fri Nov 21 19:26:44 2014 read 23251617 relations
- Fri Nov 21 19:27:31 2014 using 20 quadratic characters above 2147478920
- Fri Nov 21 19:28:59 2014 building initial matrix
- Fri Nov 21 19:34:21 2014 memory use: 3110.3 MB
- Fri Nov 21 19:34:26 2014 read 7114313 cycles
- Fri Nov 21 19:34:28 2014 matrix is 7114135 x 7114313 (3526.8 MB) with weight 1041012818 (146.33/col)
- Fri Nov 21 19:34:28 2014 sparse part has weight 846259074 (118.95/col)
- Fri Nov 21 19:36:03 2014 filtering completed in 2 passes
- Fri Nov 21 19:36:05 2014 matrix is 7114021 x 7114199 (3526.7 MB) with weight 1041006858 (146.33/col)
- Fri Nov 21 19:36:05 2014 sparse part has weight 846256252 (118.95/col)
- Fri Nov 21 19:36:32 2014 matrix starts at (0, 0)
- Fri Nov 21 19:36:34 2014 matrix is 7114021 x 7114199 (3526.7 MB) with weight 1041006858 (146.33/col)
- Fri Nov 21 19:36:34 2014 sparse part has weight 846256252 (118.95/col)
- Fri Nov 21 19:36:34 2014 saving the first 48 matrix rows for later
- Fri Nov 21 19:36:36 2014 matrix includes 64 packed rows
- Fri Nov 21 19:36:37 2014 matrix is 7113973 x 7114199 (3423.0 MB) with weight 901928241 (126.78/col)
- Fri Nov 21 19:36:37 2014 sparse part has weight 826177042 (116.13/col)
- Fri Nov 21 19:36:37 2014 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
- Fri Nov 21 19:37:15 2014 commencing Lanczos iteration (3 threads)
- Fri Nov 21 19:37:15 2014 memory use: 2887.8 MB
- Fri Nov 21 19:38:25 2014 linear algebra at 0.0%, ETA 87h19m
- Fri Nov 21 19:38:49 2014 checkpointing every 90000 dimensions
- Sun Nov 23 17:22:05 2014 lanczos halted after 112500 iterations (dim = 7113970)
- Sun Nov 23 17:22:15 2014 recovered 37 nontrivial dependencies
- Sun Nov 23 17:22:19 2014 BLanczosTime: 165650
- Sun Nov 23 17:22:19 2014
- Sun Nov 23 17:22:19 2014 commencing square root phase
- Sun Nov 23 17:22:19 2014 handling dependencies 1 to 64
- Sun Nov 23 17:22:19 2014 reading relations for dependency 1
- Sun Nov 23 17:22:20 2014 read 3557876 cycles
- Sun Nov 23 17:22:26 2014 cycles contain 11626284 unique relations
- Sun Nov 23 17:24:41 2014 read 11626284 relations
- Sun Nov 23 17:25:34 2014 multiplying 11626284 relations
- Sun Nov 23 17:35:58 2014 multiply complete, coefficients have about 376.60 million bits
- Sun Nov 23 17:36:02 2014 initial square root is modulo 5719657
- Sun Nov 23 17:49:23 2014 GCD is 1, no factor found
- Sun Nov 23 17:49:23 2014 reading relations for dependency 2
- Sun Nov 23 17:49:25 2014 read 3556719 cycles
- Sun Nov 23 17:49:31 2014 cycles contain 11629426 unique relations
- Sun Nov 23 17:51:46 2014 read 11629426 relations
- Sun Nov 23 17:52:40 2014 multiplying 11629426 relations
- Sun Nov 23 18:03:03 2014 multiply complete, coefficients have about 376.69 million bits
- Sun Nov 23 18:03:07 2014 initial square root is modulo 5743099
- Sun Nov 23 18:17:31 2014 sqrtTime: 3312
- Sun Nov 23 18:17:31 2014 prp71 factor: 64268349655682230966931623435587158705631113047744016148277127480294107
- Sun Nov 23 18:17:31 2014 prp134 factor: 17239789703613366626160055205714324638384800389328183883071910515488377388157145536002741609417837208665966966599827883190256000613367
- Sun Nov 23 18:17:31 2014 elapsed time 49:46:05

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