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debrouxl

11119_231

May 30th, 2016
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  1. Wed Jul 31 06:52:14 2013
  2. Wed Jul 31 06:52:14 2013
  3. Wed Jul 31 06:52:14 2013 Msieve v. 1.52 (SVN 901M)
  4. Wed Jul 31 06:52:14 2013 random seeds: 74db769d 2fdc82cf
  5. Wed Jul 31 06:52:14 2013 MPI process 0 of 1
  6. Wed Jul 31 06:52:14 2013 factoring 241889271315826839211121681672267612743984637128600189205788023239753630939379404047726688344783161991067996767391778135290120782569846131815623289389309413387071453848857423932476126133644306180536960317823151367291200576277 (225 digits)
  7. Wed Jul 31 06:52:16 2013 no P-1/P+1/ECM available, skipping
  8. Wed Jul 31 06:52:16 2013 commencing number field sieve (225-digit input)
  9. Wed Jul 31 06:52:16 2013 R0: -100000000000000000000000000000000000000
  10. Wed Jul 31 06:52:16 2013 R1: 1
  11. Wed Jul 31 06:52:16 2013 A0: 71
  12. Wed Jul 31 06:52:16 2013 A1: 0
  13. Wed Jul 31 06:52:16 2013 A2: 0
  14. Wed Jul 31 06:52:16 2013 A3: 0
  15. Wed Jul 31 06:52:16 2013 A4: 0
  16. Wed Jul 31 06:52:16 2013 A5: 0
  17. Wed Jul 31 06:52:16 2013 A6: 1000
  18. Wed Jul 31 06:52:16 2013 skew 1.00, size 2.003e-11, alpha -2.261, combined = 1.071e-12 rroots = 0
  19. Wed Jul 31 06:52:16 2013
  20. Wed Jul 31 06:52:16 2013 commencing relation filtering
  21. Wed Jul 31 06:52:16 2013 setting target matrix density to 90.0
  22. Wed Jul 31 06:52:16 2013 estimated available RAM is 7963.7 MB
  23. Wed Jul 31 06:52:16 2013 commencing duplicate removal, pass 1
  24. Wed Jul 31 06:53:03 2013 error -15 reading relation 7590546
  25. Wed Jul 31 06:53:03 2013 error -9 reading relation 7593070
  26. Wed Jul 31 06:53:31 2013 error -9 reading relation 12339324
  27. Wed Jul 31 06:54:08 2013 error -9 reading relation 18452144
  28. Wed Jul 31 06:54:47 2013 error -15 reading relation 24815284
  29. Wed Jul 31 06:55:04 2013 error -1 reading relation 27605694
  30. Wed Jul 31 06:56:38 2013 error -9 reading relation 43263901
  31. Wed Jul 31 06:56:38 2013 error -9 reading relation 43264298
  32. Wed Jul 31 06:56:42 2013 error -9 reading relation 43930237
  33. Wed Jul 31 06:57:03 2013 error -9 reading relation 47588547
  34. Wed Jul 31 06:57:09 2013 error -9 reading relation 48686468
  35. Wed Jul 31 06:57:10 2013 error -15 reading relation 48808664
  36. Wed Jul 31 06:57:34 2013 error -15 reading relation 52796020
  37. Wed Jul 31 06:57:34 2013 error -5 reading relation 52796148
  38. Wed Jul 31 06:57:34 2013 error -5 reading relation 52796161
  39. Wed Jul 31 06:57:34 2013 error -11 reading relation 52796347
  40. Wed Jul 31 06:57:34 2013 error -9 reading relation 52804867
  41. Wed Jul 31 06:57:47 2013 error -5 reading relation 55066205
  42. Wed Jul 31 06:57:47 2013 error -15 reading relation 55098232
  43. Wed Jul 31 06:58:08 2013 error -1 reading relation 58402375
  44. Wed Jul 31 06:58:08 2013 error -15 reading relation 58450622
  45. Wed Jul 31 06:58:27 2013 error -15 reading relation 61799974
  46. Wed Jul 31 06:58:27 2013 error -1 reading relation 61808034
  47. Wed Jul 31 06:58:30 2013 error -15 reading relation 62246774
  48. Wed Jul 31 06:58:44 2013 error -15 reading relation 64626431
  49. Wed Jul 31 06:59:24 2013 error -9 reading relation 71085547
  50. Wed Jul 31 06:59:25 2013 error -15 reading relation 71335614
  51. Wed Jul 31 06:59:36 2013 error -15 reading relation 73116285
  52. Wed Jul 31 06:59:36 2013 error -15 reading relation 73148172
  53. Wed Jul 31 06:59:36 2013 error -9 reading relation 73149820
  54. Wed Jul 31 07:00:23 2013 error -9 reading relation 80746122
  55. Wed Jul 31 07:00:24 2013 error -15 reading relation 81020454
  56. Wed Jul 31 07:00:27 2013 error -9 reading relation 81549663
  57. Wed Jul 31 07:00:33 2013 error -9 reading relation 82640798
  58. Wed Jul 31 07:00:35 2013 error -9 reading relation 82893452
  59. Wed Jul 31 07:00:40 2013 error -15 reading relation 83768135
  60. Wed Jul 31 07:00:43 2013 error -9 reading relation 84223681
  61. Wed Jul 31 07:00:59 2013 error -9 reading relation 86777707
  62. Wed Jul 31 07:01:17 2013 error -9 reading relation 89881872
  63. Wed Jul 31 07:01:23 2013 error -9 reading relation 90945177
  64. Wed Jul 31 07:01:31 2013 error -15 reading relation 92229763
  65. Wed Jul 31 07:01:40 2013 error -15 reading relation 93718153
  66. Wed Jul 31 07:02:00 2013 error -15 reading relation 97189528
  67. Wed Jul 31 07:02:00 2013 error -11 reading relation 97218397
  68. Wed Jul 31 07:02:09 2013 error -15 reading relation 98775647
  69. Wed Jul 31 07:02:12 2013 error -1 reading relation 99458397
  70. Wed Jul 31 07:02:25 2013 error -9 reading relation 101729198
  71. Wed Jul 31 07:02:30 2013 error -15 reading relation 102596975
  72. Wed Jul 31 07:02:38 2013 error -15 reading relation 103881560
  73. Wed Jul 31 07:02:38 2013 error -9 reading relation 103885124
  74. Wed Jul 31 07:02:39 2013 error -9 reading relation 104180347
  75. Wed Jul 31 07:02:46 2013 error -9 reading relation 105274247
  76. Wed Jul 31 07:02:46 2013 error -15 reading relation 105274349
  77. Wed Jul 31 07:02:46 2013 error -15 reading relation 105308557
  78. Wed Jul 31 07:02:48 2013 error -15 reading relation 105606787
  79. Wed Jul 31 07:02:49 2013 error -9 reading relation 105781157
  80. Wed Jul 31 07:02:49 2013 error -15 reading relation 105790202
  81. Wed Jul 31 07:02:49 2013 error -15 reading relation 105838543
  82. Wed Jul 31 07:02:50 2013 error -11 reading relation 106000344
  83. Wed Jul 31 07:02:50 2013 error -11 reading relation 106025805
  84. Wed Jul 31 07:02:50 2013 error -15 reading relation 106033792
  85. Wed Jul 31 07:02:50 2013 error -11 reading relation 106050802
  86. Wed Jul 31 07:02:50 2013 error -15 reading relation 106053637
  87. Wed Jul 31 07:02:51 2013 error -15 reading relation 106228973
  88. Wed Jul 31 07:02:52 2013 error -9 reading relation 106336267
  89. Wed Jul 31 07:02:55 2013 error -15 reading relation 106960685
  90. Wed Jul 31 07:02:59 2013 error -1 reading relation 107650742
  91. Wed Jul 31 07:02:59 2013 error -1 reading relation 107675713
  92. Wed Jul 31 07:03:00 2013 error -9 reading relation 107743279
  93. Wed Jul 31 07:03:00 2013 error -15 reading relation 107876265
  94. Wed Jul 31 07:03:00 2013 error -9 reading relation 107889559
  95. Wed Jul 31 07:03:01 2013 error -15 reading relation 107976291
  96. Wed Jul 31 07:03:11 2013 error -11 reading relation 109620833
  97. Wed Jul 31 07:03:11 2013 error -15 reading relation 109621570
  98. Wed Jul 31 07:03:11 2013 error -11 reading relation 109631954
  99. Wed Jul 31 07:03:11 2013 error -11 reading relation 109632486
  100. Wed Jul 31 07:03:11 2013 error -11 reading relation 109635019
  101. Wed Jul 31 07:03:11 2013 error -9 reading relation 109724239
  102. Wed Jul 31 07:03:11 2013 error -15 reading relation 109735484
  103. Wed Jul 31 07:03:11 2013 error -15 reading relation 109736017
  104. Wed Jul 31 07:03:11 2013 error -9 reading relation 109738605
  105. Wed Jul 31 07:03:24 2013 error -9 reading relation 111955324
  106. Wed Jul 31 07:03:45 2013 error -9 reading relation 115434419
  107. Wed Jul 31 07:03:45 2013 error -15 reading relation 115437179
  108. Wed Jul 31 07:03:52 2013 skipped 28 relations with b > 2^32
  109. Wed Jul 31 07:03:52 2013 found 20706232 hash collisions in 116581203 relations
  110. Wed Jul 31 07:04:11 2013 added 1218424 free relations
  111. Wed Jul 31 07:04:11 2013 commencing duplicate removal, pass 2
  112. Wed Jul 31 07:06:23 2013 found 19658364 duplicates and 98141263 unique relations
  113. Wed Jul 31 07:06:23 2013 memory use: 660.8 MB
  114. Wed Jul 31 07:06:23 2013 reading ideals above 84869120
  115. Wed Jul 31 07:06:23 2013 commencing singleton removal, initial pass
  116. Wed Jul 31 07:19:07 2013 memory use: 1506.0 MB
  117. Wed Jul 31 07:19:07 2013 reading all ideals from disk
  118. Wed Jul 31 07:19:31 2013 memory use: 1635.7 MB
  119. Wed Jul 31 07:19:34 2013 commencing in-memory singleton removal
  120. Wed Jul 31 07:19:37 2013 begin with 98141263 relations and 80712430 unique ideals
  121. Wed Jul 31 07:20:16 2013 reduce to 62936278 relations and 41827155 ideals in 14 passes
  122. Wed Jul 31 07:20:16 2013 max relations containing the same ideal: 35
  123. Wed Jul 31 07:20:19 2013 reading ideals above 720000
  124. Wed Jul 31 07:20:19 2013 commencing singleton removal, initial pass
  125. Wed Jul 31 07:30:40 2013 memory use: 1378.0 MB
  126. Wed Jul 31 07:30:40 2013 reading all ideals from disk
  127. Wed Jul 31 07:31:13 2013 memory use: 2361.2 MB
  128. Wed Jul 31 07:31:19 2013 keeping 51373131 ideals with weight <= 200, target excess is 323934
  129. Wed Jul 31 07:31:25 2013 commencing in-memory singleton removal
  130. Wed Jul 31 07:31:30 2013 begin with 62936278 relations and 51373131 unique ideals
  131. Wed Jul 31 07:32:07 2013 reduce to 62929882 relations and 51366735 ideals in 7 passes
  132. Wed Jul 31 07:32:07 2013 max relations containing the same ideal: 200
  133. Wed Jul 31 07:32:34 2013 removing 8888892 relations and 6888892 ideals in 2000000 cliques
  134. Wed Jul 31 07:32:37 2013 commencing in-memory singleton removal
  135. Wed Jul 31 07:32:41 2013 begin with 54040990 relations and 51366735 unique ideals
  136. Wed Jul 31 07:33:21 2013 reduce to 53025259 relations and 43422436 ideals in 9 passes
  137. Wed Jul 31 07:33:21 2013 max relations containing the same ideal: 186
  138. Wed Jul 31 07:33:44 2013 removing 7099162 relations and 5099162 ideals in 2000000 cliques
  139. Wed Jul 31 07:33:47 2013 commencing in-memory singleton removal
  140. Wed Jul 31 07:33:50 2013 begin with 45926097 relations and 43422436 unique ideals
  141. Wed Jul 31 07:34:23 2013 reduce to 45196587 relations and 37566446 ideals in 9 passes
  142. Wed Jul 31 07:34:24 2013 max relations containing the same ideal: 172
  143. Wed Jul 31 07:34:44 2013 removing 6576103 relations and 4576103 ideals in 2000000 cliques
  144. Wed Jul 31 07:34:46 2013 commencing in-memory singleton removal
  145. Wed Jul 31 07:34:49 2013 begin with 38620484 relations and 37566446 unique ideals
  146. Wed Jul 31 07:35:14 2013 reduce to 37935199 relations and 32277098 ideals in 8 passes
  147. Wed Jul 31 07:35:14 2013 max relations containing the same ideal: 154
  148. Wed Jul 31 07:35:31 2013 removing 6308518 relations and 4308518 ideals in 2000000 cliques
  149. Wed Jul 31 07:35:33 2013 commencing in-memory singleton removal
  150. Wed Jul 31 07:35:36 2013 begin with 31626681 relations and 32277098 unique ideals
  151. Wed Jul 31 07:35:56 2013 reduce to 30921563 relations and 27230092 ideals in 8 passes
  152. Wed Jul 31 07:35:56 2013 max relations containing the same ideal: 132
  153. Wed Jul 31 07:36:10 2013 removing 6131604 relations and 4131604 ideals in 2000000 cliques
  154. Wed Jul 31 07:36:12 2013 commencing in-memory singleton removal
  155. Wed Jul 31 07:36:14 2013 begin with 24789959 relations and 27230092 unique ideals
  156. Wed Jul 31 07:36:29 2013 reduce to 24020650 relations and 22285163 ideals in 8 passes
  157. Wed Jul 31 07:36:29 2013 max relations containing the same ideal: 112
  158. Wed Jul 31 07:36:40 2013 removing 4386705 relations and 3026982 ideals in 1359723 cliques
  159. Wed Jul 31 07:36:41 2013 commencing in-memory singleton removal
  160. Wed Jul 31 07:36:43 2013 begin with 19633945 relations and 22285163 unique ideals
  161. Wed Jul 31 07:36:55 2013 reduce to 19123490 relations and 18721986 ideals in 8 passes
  162. Wed Jul 31 07:36:55 2013 max relations containing the same ideal: 96
  163. Wed Jul 31 07:37:05 2013 removing 163796 relations and 138056 ideals in 25740 cliques
  164. Wed Jul 31 07:37:06 2013 commencing in-memory singleton removal
  165. Wed Jul 31 07:37:07 2013 begin with 18959694 relations and 18721986 unique ideals
  166. Wed Jul 31 07:37:16 2013 reduce to 18958707 relations and 18582943 ideals in 5 passes
  167. Wed Jul 31 07:37:16 2013 max relations containing the same ideal: 96
  168. Wed Jul 31 07:37:20 2013 relations with 0 large ideals: 12081
  169. Wed Jul 31 07:37:20 2013 relations with 1 large ideals: 3491
  170. Wed Jul 31 07:37:20 2013 relations with 2 large ideals: 40818
  171. Wed Jul 31 07:37:20 2013 relations with 3 large ideals: 309865
  172. Wed Jul 31 07:37:20 2013 relations with 4 large ideals: 1286644
  173. Wed Jul 31 07:37:20 2013 relations with 5 large ideals: 3173824
  174. Wed Jul 31 07:37:20 2013 relations with 6 large ideals: 4873852
  175. Wed Jul 31 07:37:20 2013 relations with 7+ large ideals: 9258132
  176. Wed Jul 31 07:37:20 2013 commencing 2-way merge
  177. Wed Jul 31 07:37:31 2013 reduce to 12665629 relation sets and 12289865 unique ideals
  178. Wed Jul 31 07:37:31 2013 commencing full merge
  179. Wed Jul 31 07:41:21 2013 memory use: 1622.1 MB
  180. Wed Jul 31 07:41:22 2013 found 6293045 cycles, need 6246065
  181. Wed Jul 31 07:41:24 2013 weight of 6246065 cycles is about 562608955 (90.07/cycle)
  182. Wed Jul 31 07:41:24 2013 distribution of cycle lengths:
  183. Wed Jul 31 07:41:24 2013 1 relations: 356350
  184. Wed Jul 31 07:41:24 2013 2 relations: 528570
  185. Wed Jul 31 07:41:24 2013 3 relations: 608431
  186. Wed Jul 31 07:41:24 2013 4 relations: 618265
  187. Wed Jul 31 07:41:24 2013 5 relations: 614320
  188. Wed Jul 31 07:41:24 2013 6 relations: 580174
  189. Wed Jul 31 07:41:24 2013 7 relations: 535941
  190. Wed Jul 31 07:41:24 2013 8 relations: 474408
  191. Wed Jul 31 07:41:24 2013 9 relations: 407874
  192. Wed Jul 31 07:41:24 2013 10+ relations: 1521732
  193. Wed Jul 31 07:41:24 2013 heaviest cycle: 25 relations
  194. Wed Jul 31 07:41:25 2013 commencing cycle optimization
  195. Wed Jul 31 07:41:35 2013 start with 43039741 relations
  196. Wed Jul 31 07:42:44 2013 pruned 1610082 relations
  197. Wed Jul 31 07:42:45 2013 memory use: 1239.2 MB
  198. Wed Jul 31 07:42:45 2013 distribution of cycle lengths:
  199. Wed Jul 31 07:42:45 2013 1 relations: 356350
  200. Wed Jul 31 07:42:45 2013 2 relations: 541220
  201. Wed Jul 31 07:42:45 2013 3 relations: 634395
  202. Wed Jul 31 07:42:45 2013 4 relations: 642339
  203. Wed Jul 31 07:42:45 2013 5 relations: 641432
  204. Wed Jul 31 07:42:45 2013 6 relations: 603711
  205. Wed Jul 31 07:42:45 2013 7 relations: 555420
  206. Wed Jul 31 07:42:45 2013 8 relations: 485779
  207. Wed Jul 31 07:42:45 2013 9 relations: 412759
  208. Wed Jul 31 07:42:45 2013 10+ relations: 1372660
  209. Wed Jul 31 07:42:45 2013 heaviest cycle: 25 relations
  210. Wed Jul 31 07:42:53 2013 RelProcTime: 3037
  211. Wed Jul 31 07:42:53 2013
  212. Wed Jul 31 07:42:53 2013 commencing linear algebra
  213. Wed Jul 31 07:42:55 2013 initialized process (0,0) of 1 x 1 grid
  214. Wed Jul 31 07:42:55 2013 read 6246065 cycles
  215. Wed Jul 31 07:43:05 2013 cycles contain 18760714 unique relations
  216. Wed Jul 31 07:46:53 2013 read 18760714 relations
  217. Wed Jul 31 07:47:20 2013 using 20 quadratic characters above 1073739680
  218. Wed Jul 31 07:48:34 2013 building initial matrix
  219. Wed Jul 31 07:51:45 2013 memory use: 2515.5 MB
  220. Wed Jul 31 07:52:10 2013 read 6246065 cycles
  221. Wed Jul 31 07:52:11 2013 matrix is 6245888 x 6246065 (2297.7 MB) with weight 685938064 (109.82/col)
  222. Wed Jul 31 07:52:11 2013 sparse part has weight 533631270 (85.43/col)
  223. Wed Jul 31 07:53:09 2013 filtering completed in 2 passes
  224. Wed Jul 31 07:53:10 2013 matrix is 6245506 x 6245683 (2297.7 MB) with weight 685924565 (109.82/col)
  225. Wed Jul 31 07:53:10 2013 sparse part has weight 533627157 (85.44/col)
  226. Wed Jul 31 07:53:57 2013 matrix starts at (0, 0)
  227. Wed Jul 31 07:53:58 2013 matrix is 6245506 x 6245683 (2297.7 MB) with weight 685924565 (109.82/col)
  228. Wed Jul 31 07:53:58 2013 sparse part has weight 533627157 (85.44/col)
  229. Wed Jul 31 07:53:58 2013 saving the first 48 matrix rows for later
  230. Wed Jul 31 07:53:59 2013 matrix includes 64 packed rows
  231. Wed Jul 31 07:54:00 2013 matrix is 6245458 x 6245683 (2206.4 MB) with weight 561401236 (89.89/col)
  232. Wed Jul 31 07:54:00 2013 sparse part has weight 515940606 (82.61/col)
  233. Wed Jul 31 07:54:00 2013 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  234. Wed Jul 31 07:54:20 2013 commencing Lanczos iteration (4 threads)
  235. Wed Jul 31 07:54:20 2013 memory use: 1837.8 MB
  236. Wed Jul 31 07:54:44 2013 linear algebra at 0.0%, ETA 25h11m
  237. Wed Jul 31 07:54:52 2013 checkpointing every 250000 dimensions
  238. Thu Aug 1 11:16:46 2013 lanczos halted after 98774 iterations (dim = 6245457)
  239. Thu Aug 1 11:16:52 2013 recovered 36 nontrivial dependencies
  240. Thu Aug 1 11:16:52 2013 BLanczosTime: 99239
  241. Thu Aug 1 11:16:52 2013
  242. Thu Aug 1 11:16:52 2013 commencing square root phase
  243. Thu Aug 1 11:16:52 2013 reading relations for dependency 0
  244. Thu Aug 1 11:16:54 2013 read 6245683 cycles
  245. Thu Aug 1 11:17:04 2013 cycles contain 18760676 unique relations
  246. Thu Aug 1 11:21:00 2013 read 18760676 relations
  247. Thu Aug 1 11:21:48 2013 algebraic side is not a square!
  248. Thu Aug 1 11:21:48 2013 reading relations for dependency 1
  249. Thu Aug 1 11:21:51 2013 read 3121954 cycles
  250. Thu Aug 1 11:21:56 2013 cycles contain 9378888 unique relations
  251. Thu Aug 1 11:24:35 2013 read 9378888 relations
  252. Thu Aug 1 11:25:16 2013 multiplying 9378888 relations
  253. Thu Aug 1 11:34:46 2013 multiply complete, coefficients have about 320.47 million bits
  254. Thu Aug 1 11:34:47 2013 initial square root is modulo 562633
  255. Thu Aug 1 11:44:42 2013 found factor: 292306815136910136954355978950052576519932334094355062331740364942747240407023529
  256. Thu Aug 1 11:44:42 2013 reading relations for dependency 2
  257. Thu Aug 1 11:44:46 2013 read 3123162 cycles
  258. Thu Aug 1 11:44:51 2013 cycles contain 9381666 unique relations
  259. Thu Aug 1 11:47:28 2013 read 9381666 relations
  260. Thu Aug 1 11:48:10 2013 multiplying 9381666 relations
  261. Thu Aug 1 11:57:42 2013 multiply complete, coefficients have about 320.56 million bits
  262. Thu Aug 1 11:57:43 2013 initial square root is modulo 564973
  263. Thu Aug 1 12:07:37 2013 GCD is N, no factor found
  264. Thu Aug 1 12:07:37 2013 reading relations for dependency 3
  265. Thu Aug 1 12:07:40 2013 read 3121758 cycles
  266. Thu Aug 1 12:07:45 2013 cycles contain 9380694 unique relations
  267. Thu Aug 1 12:10:17 2013 read 9380694 relations
  268. Thu Aug 1 12:10:59 2013 multiplying 9380694 relations
  269. Thu Aug 1 12:20:29 2013 multiply complete, coefficients have about 320.52 million bits
  270. Thu Aug 1 12:20:30 2013 initial square root is modulo 563851
  271. Thu Aug 1 12:30:25 2013 found factor: 292306815136910136954355978950052576519932334094355062331740364942747240407023529
  272. Thu Aug 1 12:30:25 2013 reading relations for dependency 4
  273. Thu Aug 1 12:30:28 2013 read 3121447 cycles
  274. Thu Aug 1 12:30:33 2013 cycles contain 9376488 unique relations
  275. Thu Aug 1 12:33:08 2013 read 9376488 relations
  276. Thu Aug 1 12:33:49 2013 multiplying 9376488 relations
  277. Thu Aug 1 12:43:17 2013 multiply complete, coefficients have about 320.38 million bits
  278. Thu Aug 1 12:43:18 2013 initial square root is modulo 560683
  279. Thu Aug 1 12:53:13 2013 sqrtTime: 5781
  280. Thu Aug 1 12:53:13 2013 prp59 factor: 18720517276543757803566457591613329087473606775149767081483
  281. Thu Aug 1 12:53:13 2013 prp81 factor: 292306815136910136954355978950052576519932334094355062331740364942747240407023529
  282. Thu Aug 1 12:53:13 2013 prp86 factor: 44203821893269096725249026488135418549076877699586807429969994560622666078342203911111
  283. Thu Aug 1 12:53:13 2013 elapsed time 30:00:59
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