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F1121

May 30th, 2016
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  1. Thu Feb 28 08:04:42 2013
  2. Thu Feb 28 08:04:42 2013
  3. Thu Feb 28 08:04:42 2013 Msieve v. 1.51 (SVN 837M)
  4. Thu Feb 28 08:04:42 2013 random seeds: f24d016c 53407996
  5. Thu Feb 28 08:04:42 2013 MPI process 0 of 1
  6. Thu Feb 28 08:04:42 2013 factoring 210665674376269714739681722912652174000488054742970157113980927346383070696691045523138992845524793510422437006993357697500235329188483736981564073516298719236784717378648296466455072370231989072739520885972859127118001 (219 digits)
  7. Thu Feb 28 08:04:43 2013 searching for 15-digit factors
  8. Thu Feb 28 08:04:43 2013 commencing number field sieve (219-digit input)
  9. Thu Feb 28 08:04:43 2013 R0: -538522340430300790495419781092981030533
  10. Thu Feb 28 08:04:43 2013 R1: 332825110087067562321196029789634457848
  11. Thu Feb 28 08:04:43 2013 A0: 1
  12. Thu Feb 28 08:04:43 2013 A1: 0
  13. Thu Feb 28 08:04:43 2013 A2: 15
  14. Thu Feb 28 08:04:43 2013 A3: 20
  15. Thu Feb 28 08:04:43 2013 A4: 30
  16. Thu Feb 28 08:04:43 2013 A5: 18
  17. Thu Feb 28 08:04:43 2013 A6: 5
  18. Thu Feb 28 08:04:43 2013 skew 1.00, size 1.346e-11, alpha 1.892, combined = 8.052e-13 rroots = 0
  19. Thu Feb 28 08:04:43 2013
  20. Thu Feb 28 08:04:43 2013 commencing relation filtering
  21. Thu Feb 28 08:04:43 2013 setting target matrix density to 80.0
  22. Thu Feb 28 08:04:43 2013 estimated available RAM is 7963.8 MB
  23. Thu Feb 28 08:04:43 2013 commencing duplicate removal, pass 1
  24. Thu Feb 28 08:05:13 2013 error -9 reading relation 5940399
  25. Thu Feb 28 08:06:59 2013 error -9 reading relation 23413876
  26. Thu Feb 28 08:07:03 2013 error -9 reading relation 24209222
  27. Thu Feb 28 08:07:03 2013 error -15 reading relation 24214731
  28. Thu Feb 28 08:07:16 2013 error -9 reading relation 26374868
  29. Thu Feb 28 08:07:28 2013 error -9 reading relation 28281456
  30. Thu Feb 28 08:07:30 2013 error -9 reading relation 28707717
  31. Thu Feb 28 08:07:33 2013 error -9 reading relation 29263284
  32. Thu Feb 28 08:08:08 2013 error -15 reading relation 35312104
  33. Thu Feb 28 08:08:24 2013 error -9 reading relation 38143965
  34. Thu Feb 28 08:08:48 2013 error -15 reading relation 42566846
  35. Thu Feb 28 08:08:59 2013 error -9 reading relation 44550207
  36. Thu Feb 28 08:09:06 2013 error -9 reading relation 45802395
  37. Thu Feb 28 08:09:20 2013 error -15 reading relation 48209413
  38. Thu Feb 28 08:09:20 2013 error -9 reading relation 48219237
  39. Thu Feb 28 08:09:22 2013 error -9 reading relation 48556273
  40. Thu Feb 28 08:09:22 2013 error -15 reading relation 48566209
  41. Thu Feb 28 08:09:27 2013 error -9 reading relation 49408332
  42. Thu Feb 28 08:09:28 2013 error -15 reading relation 49592856
  43. Thu Feb 28 08:09:30 2013 error -9 reading relation 49947480
  44. Thu Feb 28 08:09:40 2013 error -9 reading relation 51567480
  45. Thu Feb 28 08:09:40 2013 error -1 reading relation 51580061
  46. Thu Feb 28 08:09:57 2013 error -9 reading relation 54611107
  47. Thu Feb 28 08:09:57 2013 error -15 reading relation 54620813
  48. Thu Feb 28 08:09:57 2013 error -9 reading relation 54622498
  49. Thu Feb 28 08:09:59 2013 error -1 reading relation 54814748
  50. Thu Feb 28 08:09:59 2013 error -9 reading relation 54832697
  51. Thu Feb 28 08:10:04 2013 error -9 reading relation 55855529
  52. Thu Feb 28 08:10:05 2013 error -9 reading relation 55995641
  53. Thu Feb 28 08:10:05 2013 error -9 reading relation 55996444
  54. Thu Feb 28 08:10:49 2013 error -15 reading relation 64193343
  55. Thu Feb 28 08:10:50 2013 error -15 reading relation 64244693
  56. Thu Feb 28 08:11:32 2013 error -15 reading relation 71198203
  57. Thu Feb 28 08:11:58 2013 error -9 reading relation 76037886
  58. Thu Feb 28 08:12:06 2013 error -15 reading relation 77418369
  59. Thu Feb 28 08:12:56 2013 error -15 reading relation 86103788
  60. Thu Feb 28 08:12:56 2013 error -15 reading relation 86159098
  61. Thu Feb 28 08:13:02 2013 error -15 reading relation 87173962
  62. Thu Feb 28 08:13:05 2013 error -15 reading relation 87723971
  63. Thu Feb 28 08:13:05 2013 error -15 reading relation 87729376
  64. Thu Feb 28 08:13:06 2013 error -1 reading relation 87828715
  65. Thu Feb 28 08:13:07 2013 error -15 reading relation 88018616
  66. Thu Feb 28 08:13:08 2013 error -15 reading relation 88290982
  67. Thu Feb 28 08:13:08 2013 error -9 reading relation 88308983
  68. Thu Feb 28 08:13:22 2013 error -1 reading relation 90868018
  69. Thu Feb 28 08:13:33 2013 error -15 reading relation 93106314
  70. Thu Feb 28 08:13:35 2013 error -11 reading relation 93583826
  71. Thu Feb 28 08:13:49 2013 error -9 reading relation 96271019
  72. Thu Feb 28 08:13:50 2013 error -9 reading relation 96339980
  73. Thu Feb 28 08:13:56 2013 error -9 reading relation 97698660
  74. Thu Feb 28 08:14:03 2013 error -9 reading relation 98730540
  75. Thu Feb 28 08:14:19 2013 error -15 reading relation 101295010
  76. Thu Feb 28 08:14:19 2013 error -15 reading relation 101299717
  77. Thu Feb 28 08:14:19 2013 error -9 reading relation 101314835
  78. Thu Feb 28 08:14:19 2013 error -5 reading relation 101316793
  79. Thu Feb 28 08:14:19 2013 error -15 reading relation 101316880
  80. Thu Feb 28 08:14:19 2013 error -9 reading relation 101324632
  81. Thu Feb 28 08:14:19 2013 error -9 reading relation 101337390
  82. Thu Feb 28 08:14:22 2013 error -15 reading relation 102018058
  83. Thu Feb 28 08:14:22 2013 error -1 reading relation 102018059
  84. <snip errors reading relations>
  85. Thu Feb 28 08:14:22 2013 error -1 reading relation 102018145
  86. Thu Feb 28 08:14:31 2013 error -15 reading relation 103520445
  87. Thu Feb 28 08:14:32 2013 error -9 reading relation 103687468
  88. Thu Feb 28 08:14:33 2013 error -15 reading relation 103802551
  89. Thu Feb 28 08:14:33 2013 error -9 reading relation 103821508
  90. Thu Feb 28 08:14:33 2013 error -9 reading relation 103867967
  91. Thu Feb 28 08:14:43 2013 error -15 reading relation 105832481
  92. Thu Feb 28 08:14:48 2013 error -15 reading relation 106636494
  93. Thu Feb 28 08:14:48 2013 error -15 reading relation 106646247
  94. Thu Feb 28 08:14:48 2013 error -15 reading relation 106734479
  95. Thu Feb 28 08:15:21 2013 error -9 reading relation 111721913
  96. Thu Feb 28 08:15:21 2013 error -15 reading relation 111740209
  97. Thu Feb 28 08:15:21 2013 error -15 reading relation 111761013
  98. Thu Feb 28 08:15:30 2013 error -15 reading relation 112926560
  99. Thu Feb 28 08:15:30 2013 error -15 reading relation 112929669
  100. Thu Feb 28 08:15:31 2013 skipped 22 relations with b > 2^32
  101. Thu Feb 28 08:15:31 2013 found 21865929 hash collisions in 113047522 relations
  102. Thu Feb 28 08:15:50 2013 added 1218454 free relations
  103. Thu Feb 28 08:15:50 2013 commencing duplicate removal, pass 2
  104. Thu Feb 28 08:20:21 2013 found 21718053 duplicates and 92547923 unique relations
  105. Thu Feb 28 08:20:21 2013 memory use: 660.8 MB
  106. Thu Feb 28 08:20:21 2013 reading ideals above 101122048
  107. Thu Feb 28 08:20:21 2013 commencing singleton removal, initial pass
  108. Thu Feb 28 08:31:03 2013 memory use: 1506.0 MB
  109. Thu Feb 28 08:31:03 2013 reading all ideals from disk
  110. Thu Feb 28 08:31:27 2013 memory use: 1529.7 MB
  111. Thu Feb 28 08:31:30 2013 commencing in-memory singleton removal
  112. Thu Feb 28 08:31:33 2013 begin with 92547923 relations and 78296727 unique ideals
  113. Thu Feb 28 08:32:08 2013 reduce to 55785208 relations and 37379225 ideals in 15 passes
  114. Thu Feb 28 08:32:08 2013 max relations containing the same ideal: 34
  115. Thu Feb 28 08:32:10 2013 reading ideals above 720000
  116. Thu Feb 28 08:32:11 2013 commencing singleton removal, initial pass
  117. Thu Feb 28 08:41:08 2013 memory use: 1378.0 MB
  118. Thu Feb 28 08:41:08 2013 reading all ideals from disk
  119. Thu Feb 28 08:41:40 2013 memory use: 2123.7 MB
  120. Thu Feb 28 08:41:46 2013 keeping 48731028 ideals with weight <= 200, target excess is 288542
  121. Thu Feb 28 08:41:51 2013 commencing in-memory singleton removal
  122. Thu Feb 28 08:41:56 2013 begin with 55785211 relations and 48731028 unique ideals
  123. Thu Feb 28 08:42:43 2013 reduce to 55756374 relations and 48702149 ideals in 10 passes
  124. Thu Feb 28 08:42:43 2013 max relations containing the same ideal: 200
  125. Thu Feb 28 08:43:08 2013 removing 5901722 relations and 4901722 ideals in 1000000 cliques
  126. Thu Feb 28 08:43:10 2013 commencing in-memory singleton removal
  127. Thu Feb 28 08:43:14 2013 begin with 49854652 relations and 48702149 unique ideals
  128. Thu Feb 28 08:43:52 2013 reduce to 49352834 relations and 43286968 ideals in 9 passes
  129. Thu Feb 28 08:43:52 2013 max relations containing the same ideal: 193
  130. Thu Feb 28 08:44:14 2013 removing 4559711 relations and 3559711 ideals in 1000000 cliques
  131. Thu Feb 28 08:44:15 2013 commencing in-memory singleton removal
  132. Thu Feb 28 08:44:19 2013 begin with 44793123 relations and 43286968 unique ideals
  133. Thu Feb 28 08:44:49 2013 reduce to 44464130 relations and 39391428 ideals in 8 passes
  134. Thu Feb 28 08:44:49 2013 max relations containing the same ideal: 182
  135. Thu Feb 28 08:45:09 2013 removing 4137314 relations and 3137314 ideals in 1000000 cliques
  136. Thu Feb 28 08:45:10 2013 commencing in-memory singleton removal
  137. Thu Feb 28 08:45:13 2013 begin with 40326816 relations and 39391428 unique ideals
  138. Thu Feb 28 08:45:40 2013 reduce to 40034744 relations and 35955940 ideals in 8 passes
  139. Thu Feb 28 08:45:40 2013 max relations containing the same ideal: 171
  140. Thu Feb 28 08:45:58 2013 removing 3915445 relations and 2915445 ideals in 1000000 cliques
  141. Thu Feb 28 08:45:59 2013 commencing in-memory singleton removal
  142. Thu Feb 28 08:46:02 2013 begin with 36119299 relations and 35955940 unique ideals
  143. Thu Feb 28 08:46:26 2013 reduce to 35836630 relations and 32751470 ideals in 8 passes
  144. Thu Feb 28 08:46:26 2013 max relations containing the same ideal: 158
  145. Thu Feb 28 08:46:42 2013 removing 3772241 relations and 2772241 ideals in 1000000 cliques
  146. Thu Feb 28 08:46:44 2013 commencing in-memory singleton removal
  147. Thu Feb 28 08:46:46 2013 begin with 32064389 relations and 32751470 unique ideals
  148. Thu Feb 28 08:47:04 2013 reduce to 31779207 relations and 29687140 ideals in 7 passes
  149. Thu Feb 28 08:47:04 2013 max relations containing the same ideal: 146
  150. Thu Feb 28 08:47:18 2013 removing 3678891 relations and 2678891 ideals in 1000000 cliques
  151. Thu Feb 28 08:47:20 2013 commencing in-memory singleton removal
  152. Thu Feb 28 08:47:22 2013 begin with 28100316 relations and 29687140 unique ideals
  153. Thu Feb 28 08:47:40 2013 reduce to 27799676 relations and 26699448 ideals in 8 passes
  154. Thu Feb 28 08:47:40 2013 max relations containing the same ideal: 133
  155. Thu Feb 28 08:47:52 2013 removing 2912213 relations and 2146694 ideals in 765519 cliques
  156. Thu Feb 28 08:47:54 2013 commencing in-memory singleton removal
  157. Thu Feb 28 08:47:56 2013 begin with 24887463 relations and 26699448 unique ideals
  158. Thu Feb 28 08:48:09 2013 reduce to 24676592 relations and 24336812 ideals in 7 passes
  159. Thu Feb 28 08:48:09 2013 max relations containing the same ideal: 127
  160. Thu Feb 28 08:48:25 2013 relations with 0 large ideals: 10860
  161. Thu Feb 28 08:48:25 2013 relations with 1 large ideals: 2142
  162. Thu Feb 28 08:48:25 2013 relations with 2 large ideals: 23671
  163. Thu Feb 28 08:48:25 2013 relations with 3 large ideals: 210340
  164. Thu Feb 28 08:48:25 2013 relations with 4 large ideals: 1029919
  165. Thu Feb 28 08:48:25 2013 relations with 5 large ideals: 3028362
  166. Thu Feb 28 08:48:25 2013 relations with 6 large ideals: 5602883
  167. Thu Feb 28 08:48:25 2013 relations with 7+ large ideals: 14768415
  168. Thu Feb 28 08:48:25 2013 commencing 2-way merge
  169. Thu Feb 28 08:48:40 2013 reduce to 16406424 relation sets and 16066644 unique ideals
  170. Thu Feb 28 08:48:40 2013 commencing full merge
  171. Thu Feb 28 08:53:17 2013 memory use: 2060.4 MB
  172. Thu Feb 28 08:53:18 2013 found 8430959 cycles, need 8382844
  173. Thu Feb 28 08:53:21 2013 weight of 8382844 cycles is about 670907009 (80.03/cycle)
  174. Thu Feb 28 08:53:21 2013 distribution of cycle lengths:
  175. Thu Feb 28 08:53:21 2013 1 relations: 712843
  176. Thu Feb 28 08:53:21 2013 2 relations: 881871
  177. Thu Feb 28 08:53:21 2013 3 relations: 939533
  178. Thu Feb 28 08:53:21 2013 4 relations: 902056
  179. Thu Feb 28 08:53:21 2013 5 relations: 846594
  180. Thu Feb 28 08:53:21 2013 6 relations: 774401
  181. Thu Feb 28 08:53:21 2013 7 relations: 685470
  182. Thu Feb 28 08:53:21 2013 8 relations: 591166
  183. Thu Feb 28 08:53:21 2013 9 relations: 495023
  184. Thu Feb 28 08:53:21 2013 10+ relations: 1553887
  185. Thu Feb 28 08:53:21 2013 heaviest cycle: 23 relations
  186. Thu Feb 28 08:53:23 2013 commencing cycle optimization
  187. Thu Feb 28 08:53:34 2013 start with 51025744 relations
  188. Thu Feb 28 08:54:49 2013 pruned 1605836 relations
  189. Thu Feb 28 08:54:49 2013 memory use: 1556.1 MB
  190. Thu Feb 28 08:54:49 2013 distribution of cycle lengths:
  191. Thu Feb 28 08:54:49 2013 1 relations: 712843
  192. Thu Feb 28 08:54:49 2013 2 relations: 901658
  193. Thu Feb 28 08:54:49 2013 3 relations: 976652
  194. Thu Feb 28 08:54:49 2013 4 relations: 931040
  195. Thu Feb 28 08:54:49 2013 5 relations: 876636
  196. Thu Feb 28 08:54:49 2013 6 relations: 795585
  197. Thu Feb 28 08:54:49 2013 7 relations: 702302
  198. Thu Feb 28 08:54:49 2013 8 relations: 596530
  199. Thu Feb 28 08:54:49 2013 9 relations: 493472
  200. Thu Feb 28 08:54:49 2013 10+ relations: 1396126
  201. Thu Feb 28 08:54:49 2013 heaviest cycle: 23 relations
  202. Thu Feb 28 08:55:00 2013 RelProcTime: 3017
  203. Thu Feb 28 08:55:00 2013
  204. Thu Feb 28 08:55:00 2013 commencing linear algebra
  205. Thu Feb 28 08:55:03 2013 initialized process (0,0) of 1 x 1 grid
  206. Thu Feb 28 08:55:04 2013 read 8382844 cycles
  207. Thu Feb 28 08:55:16 2013 cycles contain 24443109 unique relations
  208. Thu Feb 28 08:59:20 2013 read 24443109 relations
  209. Thu Feb 28 08:59:54 2013 using 20 quadratic characters above 1073741562
  210. Thu Feb 28 09:01:29 2013 building initial matrix
  211. Thu Feb 28 09:05:00 2013 memory use: 3092.8 MB
  212. Thu Feb 28 09:05:33 2013 read 8382844 cycles
  213. Thu Feb 28 09:05:34 2013 matrix is 8382667 x 8382844 (2776.5 MB) with weight 808407653 (96.44/col)
  214. Thu Feb 28 09:05:34 2013 sparse part has weight 644020661 (76.83/col)
  215. Thu Feb 28 09:06:48 2013 filtering completed in 2 passes
  216. Thu Feb 28 09:06:50 2013 matrix is 8381830 x 8382007 (2776.5 MB) with weight 808384435 (96.44/col)
  217. Thu Feb 28 09:06:50 2013 sparse part has weight 644013511 (76.83/col)
  218. Thu Feb 28 09:07:53 2013 matrix starts at (0, 0)
  219. Thu Feb 28 09:07:54 2013 matrix is 8381830 x 8382007 (2776.5 MB) with weight 808384435 (96.44/col)
  220. Thu Feb 28 09:07:54 2013 sparse part has weight 644013511 (76.83/col)
  221. Thu Feb 28 09:07:54 2013 saving the first 48 matrix rows for later
  222. Thu Feb 28 09:07:55 2013 matrix includes 64 packed rows
  223. Thu Feb 28 09:07:56 2013 matrix is 8381782 x 8382007 (2663.1 MB) with weight 657640724 (78.46/col)
  224. Thu Feb 28 09:07:56 2013 sparse part has weight 614283535 (73.29/col)
  225. Thu Feb 28 09:07:56 2013 using block size 65536 for processor cache size 8192 kB
  226. Thu Feb 28 09:08:17 2013 commencing Lanczos iteration (4 threads)
  227. Thu Feb 28 09:08:17 2013 memory use: 2393.0 MB
  228. Thu Feb 28 09:09:10 2013 linear algebra at 0.0%, ETA 78h 9m
  229. Thu Feb 28 09:09:27 2013 checkpointing every 110000 dimensions
  230. Sun Mar 3 16:51:09 2013 lanczos halted after 132555 iterations (dim = 8381782)
  231. Sun Mar 3 16:51:17 2013 recovered 37 nontrivial dependencies
  232. Sun Mar 3 16:51:17 2013 BLanczosTime: 287777
  233. Sun Mar 3 16:51:17 2013
  234. Sun Mar 3 16:51:17 2013 commencing square root phase
  235. Sun Mar 3 18:52:59 2013
  236. Sun Mar 3 18:52:59 2013
  237. Sun Mar 3 18:52:59 2013 Msieve v. 1.51 (SVN 837M)
  238. Sun Mar 3 18:52:59 2013 random seeds: b4f7058a ae7d95f8
  239. Sun Mar 3 18:52:59 2013 MPI process 0 of 1
  240. Sun Mar 3 18:52:59 2013 factoring 210665674376269714739681722912652174000488054742970157113980927346383070696691045523138992845524793510422437006993357697500235329188483736981564073516298719236784717378648296466455072370231989072739520885972859127118001 (219 digits)
  241. Sun Mar 3 18:53:01 2013 searching for 15-digit factors
  242. Sun Mar 3 18:53:01 2013 commencing number field sieve (219-digit input)
  243. Sun Mar 3 18:53:01 2013 R0: -538522340430300790495419781092981030533
  244. Sun Mar 3 18:53:01 2013 R1: 332825110087067562321196029789634457848
  245. Sun Mar 3 18:53:01 2013 A0: 1
  246. Sun Mar 3 18:53:01 2013 A1: 0
  247. Sun Mar 3 18:53:01 2013 A2: 15
  248. Sun Mar 3 18:53:01 2013 A3: 20
  249. Sun Mar 3 18:53:01 2013 A4: 30
  250. Sun Mar 3 18:53:01 2013 A5: 18
  251. Sun Mar 3 18:53:01 2013 A6: 5
  252. Sun Mar 3 18:53:01 2013 skew 1.00, size 1.346e-11, alpha 1.892, combined = 8.052e-13 rroots = 0
  253. Sun Mar 3 18:53:01 2013
  254. Sun Mar 3 18:53:01 2013 commencing square root phase
  255. Sun Mar 3 18:53:01 2013 reading relations for dependency 1
  256. Sun Mar 3 18:53:05 2013 read 4192388 cycles
  257. Sun Mar 3 18:53:10 2013 cycles contain 12224172 unique relations
  258. Sun Mar 3 18:55:57 2013 read 12224172 relations
  259. Sun Mar 3 18:56:49 2013 multiplying 12224172 relations
  260. Sun Mar 3 19:07:00 2013 multiply complete, coefficients have about 335.26 million bits
  261. Sun Mar 3 19:07:02 2013 initial square root is modulo 1036883
  262. Sun Mar 3 19:17:13 2013 sqrtTime: 1452
  263. Sun Mar 3 19:17:13 2013 prp105 factor: 272526883928654001393493333532341915765614747018555733474312757863827558450239109619494051656436640225097
  264. Sun Mar 3 19:17:13 2013 prp114 factor: 773008781149902253909086142949845616223393290706563371159433759637187618437853957469112168162859699481300517883433
  265. Sun Mar 3 19:17:13 2013 elapsed time 00:24:14
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