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11p2_280

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Feb 24th, 2019
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  1. Tue Feb 19 20:05:46 2019
  2. Tue Feb 19 20:05:46 2019
  3. Tue Feb 19 20:05:46 2019 Msieve v. 1.54 (SVN 1025)
  4. Tue Feb 19 20:05:46 2019 random seeds: 3b6ea9d5 c1ada8aa
  5. Tue Feb 19 20:05:46 2019 factoring 171331617752784935252275298184395343457221523348518724352926964619470491215154695759020177668611729414182916365937042907952592906471483148050084888540732346785675757279536386953494087587201 (189 digits)
  6. Tue Feb 19 20:05:46 2019 searching for 15-digit factors
  7. Tue Feb 19 20:05:47 2019 commencing number field sieve (189-digit input)
  8. Tue Feb 19 20:05:47 2019 R0: 452592555681759518058893560348969204658401
  9. Tue Feb 19 20:05:47 2019 R1: -1099511627776
  10. Tue Feb 19 20:05:47 2019 A0: 1
  11. Tue Feb 19 20:05:47 2019 A1: -1
  12. Tue Feb 19 20:05:47 2019 A2: 1
  13. Tue Feb 19 20:05:47 2019 A3: -1
  14. Tue Feb 19 20:05:47 2019 A4: 1
  15. Tue Feb 19 20:05:47 2019 A5: -1
  16. Tue Feb 19 20:05:47 2019 A6: 1
  17. Tue Feb 19 20:05:47 2019 skew 1.00, size 2.439e-12, alpha 2.428, combined = 2.253e-13 rroots = 0
  18. Tue Feb 19 20:05:47 2019
  19. Tue Feb 19 20:05:47 2019 commencing relation filtering
  20. Tue Feb 19 20:05:47 2019 setting target matrix density to 120.0
  21. Tue Feb 19 20:05:47 2019 estimated available RAM is 15988.9 MB
  22. Tue Feb 19 20:05:47 2019 commencing duplicate removal, pass 1
  23. Tue Feb 19 20:09:25 2019 error -15 reading relation 33801066
  24. Tue Feb 19 20:09:25 2019 error -15 reading relation 33834746
  25. Tue Feb 19 20:18:55 2019 error -15 reading relation 121008841
  26. Tue Feb 19 20:18:55 2019 error -15 reading relation 121021351
  27. Tue Feb 19 20:20:14 2019 error -15 reading relation 133000014
  28. Tue Feb 19 20:22:54 2019 error -11 reading relation 157046287
  29. Tue Feb 19 20:26:30 2019 error -5 reading relation 189220056
  30. Tue Feb 19 20:27:09 2019 skipped 135 relations with b > 2^32
  31. Tue Feb 19 20:27:09 2019 skipped 3 relations with composite factors
  32. Tue Feb 19 20:27:09 2019 found 8122378 hash collisions in 192343426 relations
  33. Tue Feb 19 20:27:09 2019 commencing duplicate removal, pass 2
  34. Tue Feb 19 20:27:51 2019 found 1 duplicates and 192343425 unique relations
  35. Tue Feb 19 20:27:51 2019 memory use: 522.4 MB
  36. Tue Feb 19 20:27:51 2019 reading ideals above 133890048
  37. Tue Feb 19 20:27:51 2019 commencing singleton removal, initial pass
  38. Tue Feb 19 20:44:27 2019 memory use: 3012.0 MB
  39. Tue Feb 19 20:44:27 2019 reading all ideals from disk
  40. Tue Feb 19 20:44:32 2019 memory use: 3597.6 MB
  41. Tue Feb 19 20:44:39 2019 commencing in-memory singleton removal
  42. Tue Feb 19 20:44:46 2019 begin with 192343425 relations and 161159413 unique ideals
  43. Tue Feb 19 20:46:15 2019 reduce to 124687979 relations and 86567229 ideals in 14 passes
  44. Tue Feb 19 20:46:15 2019 max relations containing the same ideal: 98
  45. Tue Feb 19 20:46:21 2019 reading ideals above 720000
  46. Tue Feb 19 20:46:22 2019 commencing singleton removal, initial pass
  47. Tue Feb 19 21:00:16 2019 memory use: 2756.0 MB
  48. Tue Feb 19 21:00:16 2019 reading all ideals from disk
  49. Tue Feb 19 21:00:24 2019 memory use: 4946.9 MB
  50. Tue Feb 19 21:00:38 2019 keeping 101096230 ideals with weight <= 200, target excess is 641954
  51. Tue Feb 19 21:00:51 2019 commencing in-memory singleton removal
  52. Tue Feb 19 21:01:02 2019 begin with 124687979 relations and 101096230 unique ideals
  53. Tue Feb 19 21:01:23 2019 reduce to 124687966 relations and 101096217 ideals in 2 passes
  54. Tue Feb 19 21:01:23 2019 max relations containing the same ideal: 200
  55. Tue Feb 19 21:02:14 2019 removing 10902291 relations and 8902291 ideals in 2000000 cliques
  56. Tue Feb 19 21:02:17 2019 commencing in-memory singleton removal
  57. Tue Feb 19 21:02:27 2019 begin with 113785675 relations and 101096217 unique ideals
  58. Tue Feb 19 21:03:44 2019 reduce to 113105590 relations and 91499975 ideals in 8 passes
  59. Tue Feb 19 21:03:44 2019 max relations containing the same ideal: 195
  60. Tue Feb 19 21:04:31 2019 removing 8261068 relations and 6261068 ideals in 2000000 cliques
  61. Tue Feb 19 21:04:34 2019 commencing in-memory singleton removal
  62. Tue Feb 19 21:04:43 2019 begin with 104844522 relations and 91499975 unique ideals
  63. Tue Feb 19 21:05:45 2019 reduce to 104395328 relations and 84781778 ideals in 7 passes
  64. Tue Feb 19 21:05:45 2019 max relations containing the same ideal: 188
  65. Tue Feb 19 21:06:29 2019 removing 7463883 relations and 5463883 ideals in 2000000 cliques
  66. Tue Feb 19 21:06:31 2019 commencing in-memory singleton removal
  67. Tue Feb 19 21:06:40 2019 begin with 96931445 relations and 84781778 unique ideals
  68. Tue Feb 19 21:07:37 2019 reduce to 96539788 relations and 78919279 ideals in 7 passes
  69. Tue Feb 19 21:07:37 2019 max relations containing the same ideal: 179
  70. Tue Feb 19 21:08:18 2019 removing 7044213 relations and 5044213 ideals in 2000000 cliques
  71. Tue Feb 19 21:08:20 2019 commencing in-memory singleton removal
  72. Tue Feb 19 21:08:28 2019 begin with 89495575 relations and 78919279 unique ideals
  73. Tue Feb 19 21:09:12 2019 reduce to 89130385 relations and 73502885 ideals in 6 passes
  74. Tue Feb 19 21:09:12 2019 max relations containing the same ideal: 171
  75. Tue Feb 19 21:09:49 2019 removing 6776475 relations and 4776475 ideals in 2000000 cliques
  76. Tue Feb 19 21:09:51 2019 commencing in-memory singleton removal
  77. Tue Feb 19 21:09:59 2019 begin with 82353910 relations and 73502885 unique ideals
  78. Tue Feb 19 21:10:52 2019 reduce to 81999197 relations and 68364746 ideals in 8 passes
  79. Tue Feb 19 21:10:52 2019 max relations containing the same ideal: 163
  80. Tue Feb 19 21:11:26 2019 removing 6584872 relations and 4584872 ideals in 2000000 cliques
  81. Tue Feb 19 21:11:28 2019 commencing in-memory singleton removal
  82. Tue Feb 19 21:11:34 2019 begin with 75414325 relations and 68364746 unique ideals
  83. Tue Feb 19 21:12:17 2019 reduce to 75060565 relations and 63418598 ideals in 7 passes
  84. Tue Feb 19 21:12:17 2019 max relations containing the same ideal: 151
  85. Tue Feb 19 21:12:48 2019 removing 6442788 relations and 4442788 ideals in 2000000 cliques
  86. Tue Feb 19 21:12:50 2019 commencing in-memory singleton removal
  87. Tue Feb 19 21:12:54 2019 begin with 68617777 relations and 63418598 unique ideals
  88. Tue Feb 19 21:13:28 2019 reduce to 68257600 relations and 58607327 ideals in 7 passes
  89. Tue Feb 19 21:13:28 2019 max relations containing the same ideal: 143
  90. Tue Feb 19 21:13:54 2019 removing 6336656 relations and 4336656 ideals in 2000000 cliques
  91. Tue Feb 19 21:13:56 2019 commencing in-memory singleton removal
  92. Tue Feb 19 21:14:00 2019 begin with 61920944 relations and 58607327 unique ideals
  93. Tue Feb 19 21:14:30 2019 reduce to 61542387 relations and 53882666 ideals in 7 passes
  94. Tue Feb 19 21:14:30 2019 max relations containing the same ideal: 131
  95. Tue Feb 19 21:14:54 2019 removing 6258041 relations and 4258041 ideals in 2000000 cliques
  96. Tue Feb 19 21:14:55 2019 commencing in-memory singleton removal
  97. Tue Feb 19 21:14:59 2019 begin with 55284346 relations and 53882666 unique ideals
  98. Tue Feb 19 21:15:26 2019 reduce to 54878544 relations and 49207685 ideals in 7 passes
  99. Tue Feb 19 21:15:26 2019 max relations containing the same ideal: 121
  100. Tue Feb 19 21:15:47 2019 removing 6208931 relations and 4208931 ideals in 2000000 cliques
  101. Tue Feb 19 21:15:49 2019 commencing in-memory singleton removal
  102. Tue Feb 19 21:15:52 2019 begin with 48669613 relations and 49207685 unique ideals
  103. Tue Feb 19 21:16:16 2019 reduce to 48217022 relations and 44532151 ideals in 7 passes
  104. Tue Feb 19 21:16:16 2019 max relations containing the same ideal: 113
  105. Tue Feb 19 21:16:34 2019 removing 6200273 relations and 4200273 ideals in 2000000 cliques
  106. Tue Feb 19 21:16:36 2019 commencing in-memory singleton removal
  107. Tue Feb 19 21:16:39 2019 begin with 42016749 relations and 44532151 unique ideals
  108. Tue Feb 19 21:17:02 2019 reduce to 41483477 relations and 39779877 ideals in 8 passes
  109. Tue Feb 19 21:17:02 2019 max relations containing the same ideal: 99
  110. Tue Feb 19 21:17:18 2019 removing 3428869 relations and 2469936 ideals in 958933 cliques
  111. Tue Feb 19 21:17:19 2019 commencing in-memory singleton removal
  112. Tue Feb 19 21:17:22 2019 begin with 38054608 relations and 39779877 unique ideals
  113. Tue Feb 19 21:17:40 2019 reduce to 37850573 relations and 37101799 ideals in 7 passes
  114. Tue Feb 19 21:17:40 2019 max relations containing the same ideal: 95
  115. Tue Feb 19 21:18:00 2019 relations with 0 large ideals: 49180
  116. Tue Feb 19 21:18:00 2019 relations with 1 large ideals: 9157
  117. Tue Feb 19 21:18:00 2019 relations with 2 large ideals: 108153
  118. Tue Feb 19 21:18:00 2019 relations with 3 large ideals: 755938
  119. Tue Feb 19 21:18:00 2019 relations with 4 large ideals: 2896871
  120. Tue Feb 19 21:18:00 2019 relations with 5 large ideals: 6674370
  121. Tue Feb 19 21:18:00 2019 relations with 6 large ideals: 9673290
  122. Tue Feb 19 21:18:00 2019 relations with 7+ large ideals: 17683614
  123. Tue Feb 19 21:18:00 2019 commencing 2-way merge
  124. Tue Feb 19 21:18:20 2019 reduce to 25973803 relation sets and 25225029 unique ideals
  125. Tue Feb 19 21:18:20 2019 commencing full merge
  126. Tue Feb 19 21:28:11 2019 memory use: 3407.0 MB
  127. Tue Feb 19 21:28:13 2019 found 11570417 cycles, need 11561229
  128. Tue Feb 19 21:28:17 2019 weight of 11561229 cycles is about 1387636809 (120.03/cycle)
  129. Tue Feb 19 21:28:17 2019 distribution of cycle lengths:
  130. Tue Feb 19 21:28:17 2019 1 relations: 454349
  131. Tue Feb 19 21:28:17 2019 2 relations: 617760
  132. Tue Feb 19 21:28:17 2019 3 relations: 755248
  133. Tue Feb 19 21:28:17 2019 4 relations: 806614
  134. Tue Feb 19 21:28:17 2019 5 relations: 841452
  135. Tue Feb 19 21:28:17 2019 6 relations: 847777
  136. Tue Feb 19 21:28:17 2019 7 relations: 839572
  137. Tue Feb 19 21:28:17 2019 8 relations: 805901
  138. Tue Feb 19 21:28:17 2019 9 relations: 764459
  139. Tue Feb 19 21:28:17 2019 10+ relations: 4828097
  140. Tue Feb 19 21:28:17 2019 heaviest cycle: 28 relations
  141. Tue Feb 19 21:28:20 2019 commencing cycle optimization
  142. Tue Feb 19 21:28:39 2019 start with 105811342 relations
  143. Tue Feb 19 21:32:13 2019 pruned 5343037 relations
  144. Tue Feb 19 21:32:13 2019 memory use: 2667.8 MB
  145. Tue Feb 19 21:32:13 2019 distribution of cycle lengths:
  146. Tue Feb 19 21:32:13 2019 1 relations: 454349
  147. Tue Feb 19 21:32:13 2019 2 relations: 632920
  148. Tue Feb 19 21:32:13 2019 3 relations: 787424
  149. Tue Feb 19 21:32:13 2019 4 relations: 842337
  150. Tue Feb 19 21:32:13 2019 5 relations: 888442
  151. Tue Feb 19 21:32:13 2019 6 relations: 894348
  152. Tue Feb 19 21:32:13 2019 7 relations: 889405
  153. Tue Feb 19 21:32:13 2019 8 relations: 850654
  154. Tue Feb 19 21:32:13 2019 9 relations: 805615
  155. Tue Feb 19 21:32:13 2019 10+ relations: 4515735
  156. Tue Feb 19 21:32:13 2019 heaviest cycle: 28 relations
  157. Tue Feb 19 21:32:35 2019 RelProcTime: 5208
  158. Tue Feb 19 21:32:35 2019
  159. Tue Feb 19 21:32:35 2019 commencing linear algebra
  160. Tue Feb 19 21:32:36 2019 read 11561229 cycles
  161. Tue Feb 19 21:32:55 2019 cycles contain 37466914 unique relations
  162. Tue Feb 19 21:35:47 2019 read 37466914 relations
  163. Tue Feb 19 21:36:49 2019 using 20 quadratic characters above 4294917295
  164. Tue Feb 19 21:38:51 2019 building initial matrix
  165. Tue Feb 19 21:45:00 2019 memory use: 4742.6 MB
  166. Tue Feb 19 21:45:04 2019 read 11561229 cycles
  167. Tue Feb 19 21:45:06 2019 matrix is 11561052 x 11561229 (5406.2 MB) with weight 1534644126 (132.74/col)
  168. Tue Feb 19 21:45:06 2019 sparse part has weight 1290020029 (111.58/col)
  169. Tue Feb 19 21:47:15 2019 filtering completed in 2 passes
  170. Tue Feb 19 21:47:17 2019 matrix is 11560999 x 11561176 (5406.2 MB) with weight 1534642738 (132.74/col)
  171. Tue Feb 19 21:47:17 2019 sparse part has weight 1290019701 (111.58/col)
  172. Tue Feb 19 21:47:45 2019 matrix starts at (0, 0)
  173. Tue Feb 19 21:47:46 2019 matrix is 11560999 x 11561176 (5406.2 MB) with weight 1534642738 (132.74/col)
  174. Tue Feb 19 21:47:46 2019 sparse part has weight 1290019701 (111.58/col)
  175. Tue Feb 19 21:47:46 2019 saving the first 48 matrix rows for later
  176. Tue Feb 19 21:47:48 2019 matrix includes 64 packed rows
  177. Tue Feb 19 21:47:50 2019 matrix is 11560951 x 11561176 (5178.7 MB) with weight 1326549659 (114.74/col)
  178. Tue Feb 19 21:47:50 2019 sparse part has weight 1241960156 (107.43/col)
  179. Tue Feb 19 21:47:50 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  180. Tue Feb 19 21:48:22 2019 commencing Lanczos iteration (4 threads)
  181. Tue Feb 19 21:48:22 2019 memory use: 4970.4 MB
  182. Tue Feb 19 21:49:14 2019 linear algebra at 0.0%, ETA 106h11m
  183. Tue Feb 19 21:49:31 2019 checkpointing every 110000 dimensions
  184. Wed Feb 20 00:53:49 2019 lanczos error: submatrix is not invertible
  185. Wed Feb 20 00:53:49 2019 lanczos halted after 5678 iterations (dim = 359034)
  186. Wed Feb 20 00:53:49 2019 linear algebra failed, aborting
  187. Wed Feb 20 00:53:50 2019 BLanczosTime: 12075
  188. Wed Feb 20 00:53:50 2019
  189. Wed Feb 20 00:53:50 2019 commencing square root phase
  190. Wed Feb 20 00:53:50 2019 handling dependencies 1 to 64
  191. Wed Feb 20 00:53:50 2019 reading relations for dependency 1
  192. Wed Feb 20 00:53:50 2019 error: read_cycles can't open dependency file
  193. Wed Feb 20 08:06:18 2019
  194. Wed Feb 20 08:06:18 2019
  195. Wed Feb 20 08:06:18 2019 Msieve v. 1.54 (SVN 1025)
  196. Wed Feb 20 08:06:18 2019 random seeds: 5879d22f 5ba3f22a
  197. Wed Feb 20 08:06:18 2019 factoring 171331617752784935252275298184395343457221523348518724352926964619470491215154695759020177668611729414182916365937042907952592906471483148050084888540732346785675757279536386953494087587201 (189 digits)
  198. Wed Feb 20 08:06:19 2019 searching for 15-digit factors
  199. Wed Feb 20 08:06:19 2019 commencing number field sieve (189-digit input)
  200. Wed Feb 20 08:06:19 2019 R0: 452592555681759518058893560348969204658401
  201. Wed Feb 20 08:06:19 2019 R1: -1099511627776
  202. Wed Feb 20 08:06:19 2019 A0: 1
  203. Wed Feb 20 08:06:19 2019 A1: -1
  204. Wed Feb 20 08:06:19 2019 A2: 1
  205. Wed Feb 20 08:06:19 2019 A3: -1
  206. Wed Feb 20 08:06:19 2019 A4: 1
  207. Wed Feb 20 08:06:19 2019 A5: -1
  208. Wed Feb 20 08:06:19 2019 A6: 1
  209. Wed Feb 20 08:06:19 2019 skew 1.00, size 2.439e-12, alpha 2.428, combined = 2.253e-13 rroots = 0
  210. Wed Feb 20 08:06:19 2019
  211. Wed Feb 20 08:06:19 2019 commencing linear algebra
  212. Wed Feb 20 08:06:19 2019 skipping matrix build
  213. Wed Feb 20 08:06:22 2019 matrix starts at (0, 0)
  214. Wed Feb 20 08:06:23 2019 matrix is 11560999 x 11561176 (5406.2 MB) with weight 1534642738 (132.74/col)
  215. Wed Feb 20 08:06:23 2019 sparse part has weight 1290019701 (111.58/col)
  216. Wed Feb 20 08:06:23 2019 saving the first 48 matrix rows for later
  217. Wed Feb 20 08:06:25 2019 matrix includes 64 packed rows
  218. Wed Feb 20 08:06:27 2019 matrix is 11560951 x 11561176 (5178.7 MB) with weight 1326549659 (114.74/col)
  219. Wed Feb 20 08:06:27 2019 sparse part has weight 1241960156 (107.43/col)
  220. Wed Feb 20 08:06:27 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  221. Wed Feb 20 08:06:59 2019 commencing Lanczos iteration (4 threads)
  222. Wed Feb 20 08:06:59 2019 memory use: 4970.4 MB
  223. Wed Feb 20 08:06:59 2019 restarting at iteration 5219 (dim = 330046)
  224. Wed Feb 20 08:07:42 2019 linear algebra at 2.9%, ETA 88h28m
  225. Wed Feb 20 08:07:54 2019 checkpointing every 130000 dimensions
  226. Sat Feb 23 22:29:39 2019 lanczos halted after 182812 iterations (dim = 11560947)
  227. Sat Feb 23 22:30:00 2019 recovered 37 nontrivial dependencies
  228. Sat Feb 23 22:30:01 2019 BLanczosTime: 311022
  229. Sat Feb 23 22:30:01 2019
  230. Sat Feb 23 22:30:01 2019 commencing square root phase
  231. Sat Feb 23 22:30:01 2019 handling dependencies 1 to 64
  232. Sat Feb 23 22:30:01 2019 reading relations for dependency 1
  233. Sat Feb 23 22:30:02 2019 read 5780504 cycles
  234. Sat Feb 23 22:30:18 2019 cycles contain 18733558 unique relations
  235. Sat Feb 23 22:33:18 2019 read 18733558 relations
  236. Sat Feb 23 22:35:12 2019 multiplying 18733558 relations
  237. Sat Feb 23 22:56:08 2019 multiply complete, coefficients have about 471.36 million bits
  238. Sat Feb 23 22:56:12 2019 initial square root is modulo 286929557
  239. Sat Feb 23 23:18:10 2019 GCD is N, no factor found
  240. Sat Feb 23 23:18:10 2019 reading relations for dependency 2
  241. Sat Feb 23 23:18:13 2019 read 5782444 cycles
  242. Sat Feb 23 23:18:30 2019 cycles contain 18735216 unique relations
  243. Sat Feb 23 23:21:35 2019 read 18735216 relations
  244. Sat Feb 23 23:23:33 2019 multiplying 18735216 relations
  245. Sat Feb 23 23:44:55 2019 multiply complete, coefficients have about 471.40 million bits
  246. Sat Feb 23 23:44:59 2019 initial square root is modulo 287362409
  247. Sun Feb 24 00:08:38 2019 GCD is 1, no factor found
  248. Sun Feb 24 00:08:38 2019 reading relations for dependency 3
  249. Sun Feb 24 00:08:41 2019 read 5780425 cycles
  250. Sun Feb 24 00:08:58 2019 cycles contain 18734212 unique relations
  251. Sun Feb 24 00:11:57 2019 read 18734212 relations
  252. Sun Feb 24 00:13:45 2019 multiplying 18734212 relations
  253. Sun Feb 24 00:35:09 2019 multiply complete, coefficients have about 471.37 million bits
  254. Sun Feb 24 00:35:13 2019 initial square root is modulo 287012897
  255. Sun Feb 24 00:58:25 2019 GCD is 1, no factor found
  256. Sun Feb 24 00:58:25 2019 reading relations for dependency 4
  257. Sun Feb 24 00:58:28 2019 read 5780587 cycles
  258. Sun Feb 24 00:58:44 2019 cycles contain 18734814 unique relations
  259. Sun Feb 24 01:01:47 2019 read 18734814 relations
  260. Sun Feb 24 01:03:46 2019 multiplying 18734814 relations
  261. Sun Feb 24 01:24:59 2019 multiply complete, coefficients have about 471.40 million bits
  262. Sun Feb 24 01:25:03 2019 initial square root is modulo 287323489
  263. Sun Feb 24 01:47:42 2019 GCD is N, no factor found
  264. Sun Feb 24 01:47:42 2019 reading relations for dependency 5
  265. Sun Feb 24 01:47:45 2019 read 5782083 cycles
  266. Sun Feb 24 01:48:02 2019 cycles contain 18739162 unique relations
  267. Sun Feb 24 01:51:03 2019 read 18739162 relations
  268. Sun Feb 24 01:52:55 2019 multiplying 18739162 relations
  269. Sun Feb 24 02:13:59 2019 multiply complete, coefficients have about 471.50 million bits
  270. Sun Feb 24 02:14:02 2019 initial square root is modulo 288505171
  271. Sun Feb 24 02:37:13 2019 sqrtTime: 14832
  272. Sun Feb 24 02:37:13 2019 p60 factor: 219532399401717366389828093162017962813779525230722778403681
  273. Sun Feb 24 02:37:13 2019 p129 factor: 780438870160887221493856543509490474021336475174646430995718668669349770732213520936414315153962310618721210246611246013793637921
  274. Sun Feb 24 02:37:13 2019 elapsed time 90:30:55
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