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Sep 27th, 2016
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  1. Mon Sep 26 09:05:08 2016
  2. Mon Sep 26 09:05:08 2016
  3. Mon Sep 26 09:05:08 2016 Msieve v. 1.53 (SVN 988M)
  4. Mon Sep 26 09:05:08 2016 random seeds: fb300be1 79500a3f
  5. Mon Sep 26 09:05:08 2016 factoring 208619775005214841872901255277508087918295528349999331578186378063727571230932513421692519429944207236973367070389336554107228110726829756207670114399908202861452045440891937445812698048257603452031981 (201 digits)
  6. Mon Sep 26 09:05:09 2016 searching for 15-digit factors
  7. Mon Sep 26 09:05:11 2016 commencing number field sieve (201-digit input)
  8. Mon Sep 26 09:05:11 2016 R0: 700400277682442761269690122161193848974377746432
  9. Mon Sep 26 09:05:11 2016 R1: -17763568394002504646778106689453125
  10. Mon Sep 26 09:05:11 2016 A0: 5
  11. Mon Sep 26 09:05:11 2016 A1: 0
  12. Mon Sep 26 09:05:11 2016 A2: 0
  13. Mon Sep 26 09:05:11 2016 A3: 0
  14. Mon Sep 26 09:05:11 2016 A4: 0
  15. Mon Sep 26 09:05:11 2016 A5: 1
  16. Mon Sep 26 09:05:11 2016 skew 1.38, size 2.980e-16, alpha 0.803, combined = 4.288e-13 rroots = 1
  17. Mon Sep 26 09:05:11 2016
  18. Mon Sep 26 09:05:11 2016 commencing relation filtering
  19. Mon Sep 26 09:05:11 2016 setting target matrix density to 130.0
  20. Mon Sep 26 09:05:11 2016 estimated available RAM is 65536.0 MB
  21. Mon Sep 26 09:05:11 2016 commencing duplicate removal, pass 1
  22. Mon Sep 26 09:11:03 2016 error -9 reading relation 45073791
  23. Mon Sep 26 09:11:43 2016 error -9 reading relation 50301438
  24. Mon Sep 26 09:14:03 2016 error -9 reading relation 68403320
  25. Mon Sep 26 09:14:07 2016 error -9 reading relation 68974380
  26. Mon Sep 26 09:16:28 2016 error -15 reading relation 87335136
  27. Mon Sep 26 09:21:01 2016 error -15 reading relation 122763699
  28. Mon Sep 26 09:21:21 2016 error -9 reading relation 125443889
  29. Mon Sep 26 09:21:22 2016 error -9 reading relation 125646228
  30. Mon Sep 26 09:21:23 2016 error -1 reading relation 125679749
  31. Mon Sep 26 09:21:23 2016 error -9 reading relation 125747757
  32. Mon Sep 26 09:21:36 2016 error -1 reading relation 127365386
  33. Mon Sep 26 09:21:52 2016 error -9 reading relation 129520430
  34. Mon Sep 26 09:22:08 2016 error -9 reading relation 131625123
  35. Mon Sep 26 09:22:48 2016 error -15 reading relation 136745960
  36. Mon Sep 26 09:25:50 2016 error -1 reading relation 160274808
  37. Mon Sep 26 09:26:08 2016 error -5 reading relation 162653215
  38. Mon Sep 26 09:27:42 2016 error -1 reading relation 174863153
  39. Mon Sep 26 09:27:48 2016 error -9 reading relation 175623692
  40. Mon Sep 26 09:28:07 2016 error -9 reading relation 178114324
  41. Mon Sep 26 09:28:28 2016 error -9 reading relation 180775188
  42. Mon Sep 26 09:28:32 2016 error -9 reading relation 181289761
  43. Mon Sep 26 09:28:35 2016 error -9 reading relation 181666765
  44. Mon Sep 26 09:28:45 2016 error -9 reading relation 183038029
  45. Mon Sep 26 09:28:48 2016 error -9 reading relation 183328375
  46. Mon Sep 26 09:30:03 2016 error -9 reading relation 193126235
  47. Mon Sep 26 09:30:51 2016 error -15 reading relation 199462746
  48. Mon Sep 26 09:31:06 2016 error -9 reading relation 201473328
  49. Mon Sep 26 09:31:07 2016 error -1 reading relation 201492663
  50. Mon Sep 26 09:31:39 2016 error -1 reading relation 205699669
  51. Mon Sep 26 09:32:00 2016 error -9 reading relation 208407099
  52. Mon Sep 26 09:34:00 2016 error -9 reading relation 224105284
  53. Mon Sep 26 09:34:01 2016 error -9 reading relation 224299946
  54. Mon Sep 26 09:34:11 2016 error -9 reading relation 225525013
  55. Mon Sep 26 09:34:43 2016 error -1 reading relation 229660978
  56. Mon Sep 26 09:34:48 2016 error -9 reading relation 230294343
  57. Mon Sep 26 09:35:54 2016 error -9 reading relation 238895652
  58. Mon Sep 26 09:36:00 2016 error -9 reading relation 239826398
  59. Mon Sep 26 09:37:16 2016 error -9 reading relation 249715763
  60. Mon Sep 26 09:37:35 2016 error -1 reading relation 252332552
  61. Mon Sep 26 09:37:48 2016 error -5 reading relation 253959969
  62. Mon Sep 26 09:37:51 2016 error -9 reading relation 254336162
  63. Mon Sep 26 09:37:51 2016 error -9 reading relation 254352872
  64. Mon Sep 26 09:37:58 2016 error -9 reading relation 255318296
  65. Mon Sep 26 09:37:58 2016 error -9 reading relation 255348767
  66. Mon Sep 26 09:38:03 2016 skipped 124 relations with b > 2^32
  67. Mon Sep 26 09:38:03 2016 skipped 32 relations with composite factors
  68. Mon Sep 26 09:38:03 2016 found 48937764 hash collisions in 255993276 relations
  69. Mon Sep 26 09:38:31 2016 added 731467 free relations
  70. Mon Sep 26 09:38:31 2016 commencing duplicate removal, pass 2
  71. Mon Sep 26 09:42:29 2016 found 47534486 duplicates and 209190257 unique relations
  72. Mon Sep 26 09:42:29 2016 memory use: 1321.5 MB
  73. Mon Sep 26 09:42:29 2016 reading ideals above 720000
  74. Mon Sep 26 09:42:29 2016 commencing singleton removal, initial pass
  75. Mon Sep 26 10:08:45 2016 memory use: 5512.0 MB
  76. Mon Sep 26 10:08:45 2016 reading all ideals from disk
  77. Mon Sep 26 10:08:50 2016 memory use: 8151.9 MB
  78. Mon Sep 26 10:09:12 2016 keeping 176986307 ideals with weight <= 200, target excess is 1078670
  79. Mon Sep 26 10:09:37 2016 commencing in-memory singleton removal
  80. Mon Sep 26 10:09:54 2016 begin with 209190257 relations and 176986307 unique ideals
  81. Mon Sep 26 10:12:56 2016 reduce to 146165146 relations and 108297428 ideals in 14 passes
  82. Mon Sep 26 10:12:56 2016 max relations containing the same ideal: 167
  83. Mon Sep 26 10:13:55 2016 removing 9735167 relations and 7735167 ideals in 2000000 cliques
  84. Mon Sep 26 10:13:58 2016 commencing in-memory singleton removal
  85. Mon Sep 26 10:14:09 2016 begin with 136429979 relations and 108297428 unique ideals
  86. Mon Sep 26 10:15:28 2016 reduce to 135945209 relations and 100068847 ideals in 7 passes
  87. Mon Sep 26 10:15:28 2016 max relations containing the same ideal: 160
  88. Mon Sep 26 10:16:22 2016 removing 7433484 relations and 5433484 ideals in 2000000 cliques
  89. Mon Sep 26 10:16:26 2016 commencing in-memory singleton removal
  90. Mon Sep 26 10:16:36 2016 begin with 128511725 relations and 100068847 unique ideals
  91. Mon Sep 26 10:17:50 2016 reduce to 128185831 relations and 94304650 ideals in 7 passes
  92. Mon Sep 26 10:17:50 2016 max relations containing the same ideal: 152
  93. Mon Sep 26 10:18:42 2016 removing 6777773 relations and 4777773 ideals in 2000000 cliques
  94. Mon Sep 26 10:18:45 2016 commencing in-memory singleton removal
  95. Mon Sep 26 10:18:54 2016 begin with 121408058 relations and 94304650 unique ideals
  96. Mon Sep 26 10:20:04 2016 reduce to 121126701 relations and 89241192 ideals in 7 passes
  97. Mon Sep 26 10:20:04 2016 max relations containing the same ideal: 148
  98. Mon Sep 26 10:20:53 2016 removing 6430647 relations and 4430647 ideals in 2000000 cliques
  99. Mon Sep 26 10:20:56 2016 commencing in-memory singleton removal
  100. Mon Sep 26 10:21:05 2016 begin with 114696054 relations and 89241192 unique ideals
  101. Mon Sep 26 10:22:01 2016 reduce to 114437359 relations and 84547635 ideals in 6 passes
  102. Mon Sep 26 10:22:01 2016 max relations containing the same ideal: 142
  103. Mon Sep 26 10:22:47 2016 removing 6217303 relations and 4217303 ideals in 2000000 cliques
  104. Mon Sep 26 10:22:50 2016 commencing in-memory singleton removal
  105. Mon Sep 26 10:22:58 2016 begin with 108220056 relations and 84547635 unique ideals
  106. Mon Sep 26 10:23:51 2016 reduce to 107972044 relations and 80078291 ideals in 6 passes
  107. Mon Sep 26 10:23:51 2016 max relations containing the same ideal: 136
  108. Mon Sep 26 10:24:35 2016 removing 6061535 relations and 4061535 ideals in 2000000 cliques
  109. Mon Sep 26 10:24:37 2016 commencing in-memory singleton removal
  110. Mon Sep 26 10:24:45 2016 begin with 101910509 relations and 80078291 unique ideals
  111. Mon Sep 26 10:25:35 2016 reduce to 101668675 relations and 75770792 ideals in 6 passes
  112. Mon Sep 26 10:25:35 2016 max relations containing the same ideal: 132
  113. Mon Sep 26 10:26:16 2016 removing 5950962 relations and 3950962 ideals in 2000000 cliques
  114. Mon Sep 26 10:26:18 2016 commencing in-memory singleton removal
  115. Mon Sep 26 10:26:25 2016 begin with 95717713 relations and 75770792 unique ideals
  116. Mon Sep 26 10:27:12 2016 reduce to 95477550 relations and 71575352 ideals in 6 passes
  117. Mon Sep 26 10:27:12 2016 max relations containing the same ideal: 126
  118. Mon Sep 26 10:27:50 2016 removing 5868824 relations and 3868824 ideals in 2000000 cliques
  119. Mon Sep 26 10:27:53 2016 commencing in-memory singleton removal
  120. Mon Sep 26 10:27:59 2016 begin with 89608726 relations and 71575352 unique ideals
  121. Mon Sep 26 10:28:42 2016 reduce to 89366119 relations and 67459377 ideals in 6 passes
  122. Mon Sep 26 10:28:42 2016 max relations containing the same ideal: 121
  123. Mon Sep 26 10:29:19 2016 removing 5803649 relations and 3803649 ideals in 2000000 cliques
  124. Mon Sep 26 10:29:21 2016 commencing in-memory singleton removal
  125. Mon Sep 26 10:29:27 2016 begin with 83562470 relations and 67459377 unique ideals
  126. Mon Sep 26 10:30:07 2016 reduce to 83315316 relations and 63403609 ideals in 6 passes
  127. Mon Sep 26 10:30:07 2016 max relations containing the same ideal: 115
  128. Mon Sep 26 10:30:41 2016 removing 5753829 relations and 3753829 ideals in 2000000 cliques
  129. Mon Sep 26 10:30:43 2016 commencing in-memory singleton removal
  130. Mon Sep 26 10:30:49 2016 begin with 77561487 relations and 63403609 unique ideals
  131. Mon Sep 26 10:31:26 2016 reduce to 77305703 relations and 59388503 ideals in 6 passes
  132. Mon Sep 26 10:31:26 2016 max relations containing the same ideal: 111
  133. Mon Sep 26 10:31:57 2016 removing 5716992 relations and 3716992 ideals in 2000000 cliques
  134. Mon Sep 26 10:31:59 2016 commencing in-memory singleton removal
  135. Mon Sep 26 10:32:04 2016 begin with 71588711 relations and 59388503 unique ideals
  136. Mon Sep 26 10:32:38 2016 reduce to 71322611 relations and 55399212 ideals in 6 passes
  137. Mon Sep 26 10:32:38 2016 max relations containing the same ideal: 105
  138. Mon Sep 26 10:33:07 2016 removing 5694257 relations and 3694257 ideals in 2000000 cliques
  139. Mon Sep 26 10:33:09 2016 commencing in-memory singleton removal
  140. Mon Sep 26 10:33:14 2016 begin with 65628354 relations and 55399212 unique ideals
  141. Mon Sep 26 10:33:50 2016 reduce to 65346578 relations and 51416363 ideals in 7 passes
  142. Mon Sep 26 10:33:50 2016 max relations containing the same ideal: 101
  143. Mon Sep 26 10:34:16 2016 removing 5679919 relations and 3679919 ideals in 2000000 cliques
  144. Mon Sep 26 10:34:18 2016 commencing in-memory singleton removal
  145. Mon Sep 26 10:34:23 2016 begin with 59666659 relations and 51416363 unique ideals
  146. Mon Sep 26 10:34:50 2016 reduce to 59365971 relations and 47427717 ideals in 6 passes
  147. Mon Sep 26 10:34:50 2016 max relations containing the same ideal: 93
  148. Mon Sep 26 10:35:15 2016 removing 5674477 relations and 3674477 ideals in 2000000 cliques
  149. Mon Sep 26 10:35:17 2016 commencing in-memory singleton removal
  150. Mon Sep 26 10:35:20 2016 begin with 53691494 relations and 47427717 unique ideals
  151. Mon Sep 26 10:35:49 2016 reduce to 53366472 relations and 43418563 ideals in 7 passes
  152. Mon Sep 26 10:35:49 2016 max relations containing the same ideal: 86
  153. Mon Sep 26 10:36:11 2016 removing 5678708 relations and 3678708 ideals in 2000000 cliques
  154. Mon Sep 26 10:36:13 2016 commencing in-memory singleton removal
  155. Mon Sep 26 10:36:16 2016 begin with 47687764 relations and 43418563 unique ideals
  156. Mon Sep 26 10:36:38 2016 reduce to 47329748 relations and 39370469 ideals in 6 passes
  157. Mon Sep 26 10:36:38 2016 max relations containing the same ideal: 82
  158. Mon Sep 26 10:36:57 2016 removing 5694889 relations and 3694889 ideals in 2000000 cliques
  159. Mon Sep 26 10:36:59 2016 commencing in-memory singleton removal
  160. Mon Sep 26 10:37:02 2016 begin with 41634859 relations and 39370469 unique ideals
  161. Mon Sep 26 10:37:20 2016 reduce to 41232339 relations and 35258680 ideals in 6 passes
  162. Mon Sep 26 10:37:20 2016 max relations containing the same ideal: 75
  163. Mon Sep 26 10:37:37 2016 removing 5722982 relations and 3722982 ideals in 2000000 cliques
  164. Mon Sep 26 10:37:39 2016 commencing in-memory singleton removal
  165. Mon Sep 26 10:37:41 2016 begin with 35509357 relations and 35258680 unique ideals
  166. Mon Sep 26 10:37:59 2016 reduce to 35042014 relations and 31049665 ideals in 7 passes
  167. Mon Sep 26 10:37:59 2016 max relations containing the same ideal: 66
  168. Mon Sep 26 10:38:14 2016 removing 5764924 relations and 3764924 ideals in 2000000 cliques
  169. Mon Sep 26 10:38:16 2016 commencing in-memory singleton removal
  170. Mon Sep 26 10:38:17 2016 begin with 29277090 relations and 31049665 unique ideals
  171. Mon Sep 26 10:38:32 2016 reduce to 28699540 relations and 26679910 ideals in 7 passes
  172. Mon Sep 26 10:38:32 2016 max relations containing the same ideal: 56
  173. Mon Sep 26 10:38:44 2016 removing 2651114 relations and 1882742 ideals in 768372 cliques
  174. Mon Sep 26 10:38:45 2016 commencing in-memory singleton removal
  175. Mon Sep 26 10:38:46 2016 begin with 26048426 relations and 26679910 unique ideals
  176. Mon Sep 26 10:38:57 2016 reduce to 25867172 relations and 24611634 ideals in 6 passes
  177. Mon Sep 26 10:38:57 2016 max relations containing the same ideal: 54
  178. Mon Sep 26 10:39:11 2016 relations with 0 large ideals: 20110
  179. Mon Sep 26 10:39:11 2016 relations with 1 large ideals: 37334
  180. Mon Sep 26 10:39:11 2016 relations with 2 large ideals: 442353
  181. Mon Sep 26 10:39:11 2016 relations with 3 large ideals: 2074790
  182. Mon Sep 26 10:39:11 2016 relations with 4 large ideals: 5058169
  183. Mon Sep 26 10:39:11 2016 relations with 5 large ideals: 7149747
  184. Mon Sep 26 10:39:11 2016 relations with 6 large ideals: 6375098
  185. Mon Sep 26 10:39:11 2016 relations with 7+ large ideals: 4709571
  186. Mon Sep 26 10:39:11 2016 commencing 2-way merge
  187. Mon Sep 26 10:39:25 2016 reduce to 17322720 relation sets and 16067182 unique ideals
  188. Mon Sep 26 10:39:25 2016 commencing full merge
  189. Mon Sep 26 10:45:19 2016 memory use: 2008.6 MB
  190. Mon Sep 26 10:45:22 2016 found 7638620 cycles, need 7543382
  191. Mon Sep 26 10:45:23 2016 weight of 7543382 cycles is about 981269196 (130.08/cycle)
  192. Mon Sep 26 10:45:23 2016 distribution of cycle lengths:
  193. Mon Sep 26 10:45:23 2016 1 relations: 182142
  194. Mon Sep 26 10:45:23 2016 2 relations: 340290
  195. Mon Sep 26 10:45:23 2016 3 relations: 443407
  196. Mon Sep 26 10:45:23 2016 4 relations: 491411
  197. Mon Sep 26 10:45:23 2016 5 relations: 530211
  198. Mon Sep 26 10:45:23 2016 6 relations: 546686
  199. Mon Sep 26 10:45:23 2016 7 relations: 554232
  200. Mon Sep 26 10:45:23 2016 8 relations: 543540
  201. Mon Sep 26 10:45:23 2016 9 relations: 521013
  202. Mon Sep 26 10:45:23 2016 10+ relations: 3390450
  203. Mon Sep 26 10:45:23 2016 heaviest cycle: 28 relations
  204. Mon Sep 26 10:45:25 2016 commencing cycle optimization
  205. Mon Sep 26 10:45:42 2016 start with 71752125 relations
  206. Mon Sep 26 10:48:54 2016 pruned 3913399 relations
  207. Mon Sep 26 10:48:54 2016 memory use: 1802.9 MB
  208. Mon Sep 26 10:48:54 2016 distribution of cycle lengths:
  209. Mon Sep 26 10:48:54 2016 1 relations: 182142
  210. Mon Sep 26 10:48:54 2016 2 relations: 350586
  211. Mon Sep 26 10:48:54 2016 3 relations: 464718
  212. Mon Sep 26 10:48:54 2016 4 relations: 516667
  213. Mon Sep 26 10:48:54 2016 5 relations: 563902
  214. Mon Sep 26 10:48:54 2016 6 relations: 582034
  215. Mon Sep 26 10:48:54 2016 7 relations: 593797
  216. Mon Sep 26 10:48:54 2016 8 relations: 580025
  217. Mon Sep 26 10:48:54 2016 9 relations: 555762
  218. Mon Sep 26 10:48:54 2016 10+ relations: 3153749
  219. Mon Sep 26 10:48:54 2016 heaviest cycle: 28 relations
  220. Mon Sep 26 10:49:09 2016 RelProcTime: 6238
  221. Mon Sep 26 10:49:09 2016
  222. Mon Sep 26 10:49:09 2016 commencing linear algebra
  223. Mon Sep 26 10:49:10 2016 read 7543382 cycles
  224. Mon Sep 26 10:49:27 2016 cycles contain 25276971 unique relations
  225. Mon Sep 26 10:54:05 2016 read 25276971 relations
  226. Mon Sep 26 10:54:56 2016 using 20 quadratic characters above 4294917295
  227. Mon Sep 26 10:56:30 2016 building initial matrix
  228. Mon Sep 26 11:01:18 2016 memory use: 3242.2 MB
  229. Mon Sep 26 11:01:25 2016 read 7543382 cycles
  230. Mon Sep 26 11:01:26 2016 matrix is 7543205 x 7543382 (3759.1 MB) with weight 1086011492 (143.97/col)
  231. Mon Sep 26 11:01:26 2016 sparse part has weight 902450499 (119.63/col)
  232. Mon Sep 26 11:03:09 2016 filtering completed in 2 passes
  233. Mon Sep 26 11:03:10 2016 matrix is 7543002 x 7543179 (3759.1 MB) with weight 1086002836 (143.97/col)
  234. Mon Sep 26 11:03:10 2016 sparse part has weight 902446858 (119.64/col)
  235. Mon Sep 26 11:03:39 2016 matrix starts at (0, 0)
  236. Mon Sep 26 11:03:40 2016 matrix is 7543002 x 7543179 (3759.1 MB) with weight 1086002836 (143.97/col)
  237. Mon Sep 26 11:03:40 2016 sparse part has weight 902446858 (119.64/col)
  238. Mon Sep 26 11:03:40 2016 saving the first 48 matrix rows for later
  239. Mon Sep 26 11:03:41 2016 matrix includes 64 packed rows
  240. Mon Sep 26 11:03:42 2016 matrix is 7542954 x 7543179 (3606.4 MB) with weight 937779491 (124.32/col)
  241. Mon Sep 26 11:03:42 2016 sparse part has weight 869962235 (115.33/col)
  242. Mon Sep 26 11:03:42 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  243. Mon Sep 26 11:04:29 2016 commencing Lanczos iteration (6 threads)
  244. Mon Sep 26 11:04:29 2016 memory use: 3058.4 MB
  245. Mon Sep 26 11:04:50 2016 linear algebra at 0.0%, ETA 27h30m
  246. Mon Sep 26 11:04:57 2016 checkpointing every 270000 dimensions
  247. Tue Sep 27 14:20:04 2016 lanczos halted after 119284 iterations (dim = 7542952)
  248. Tue Sep 27 14:20:13 2016 recovered 35 nontrivial dependencies
  249. Tue Sep 27 14:20:14 2016 BLanczosTime: 99065
  250. Tue Sep 27 14:20:14 2016
  251. Tue Sep 27 14:20:14 2016 commencing square root phase
  252. Tue Sep 27 14:20:14 2016 handling dependencies 1 to 64
  253. Tue Sep 27 14:20:14 2016 reading relations for dependency 1
  254. Tue Sep 27 14:20:16 2016 read 3769939 cycles
  255. Tue Sep 27 14:20:23 2016 cycles contain 12635384 unique relations
  256. Tue Sep 27 14:24:05 2016 read 12635384 relations
  257. Tue Sep 27 14:24:57 2016 multiplying 12635384 relations
  258. Tue Sep 27 14:31:04 2016 multiply complete, coefficients have about 320.71 million bits
  259. Tue Sep 27 14:31:05 2016 initial square root is modulo 568241
  260. Tue Sep 27 14:37:31 2016 GCD is N, no factor found
  261. Tue Sep 27 14:37:31 2016 reading relations for dependency 2
  262. Tue Sep 27 14:37:32 2016 read 3771589 cycles
  263. Tue Sep 27 14:37:40 2016 cycles contain 12640670 unique relations
  264. Tue Sep 27 14:41:22 2016 read 12640670 relations
  265. Tue Sep 27 14:42:14 2016 multiplying 12640670 relations
  266. Tue Sep 27 14:48:20 2016 multiply complete, coefficients have about 320.84 million bits
  267. Tue Sep 27 14:48:21 2016 initial square root is modulo 571471
  268. Tue Sep 27 14:54:48 2016 sqrtTime: 2074
  269. Tue Sep 27 14:54:48 2016 p91 factor: 5533475616401567841326867453284467917398005315926678964113781512626662360083576926219463401
  270. Tue Sep 27 14:54:48 2016 p110 factor: 37701399530315590397373615017888955912666101957608885034322691299070668370225358470067134849839003976637396581
  271. Tue Sep 27 14:54:48 2016 elapsed time 29:49:40
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