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Jul 17th, 2020
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  1. Sat Jul 11 06:12:59 2020
  2. Sat Jul 11 06:12:59 2020
  3. Sat Jul 11 06:12:59 2020 Msieve v. 1.54 (SVN 1025)
  4. Sat Jul 11 06:12:59 2020 random seeds: 8169346f 9bb7c59c
  5. Sat Jul 11 06:12:59 2020 factoring 166475336856725846108688846256080427785608468694102278558130203234340226553694611185961585411365749158302834451728437050196915250807569913105783467566588693039798270894450993786189759013502915301737485240598091 (210 digits)
  6. Sat Jul 11 06:13:00 2020 searching for 15-digit factors
  7. Sat Jul 11 06:13:00 2020 commencing number field sieve (210-digit input)
  8. Sat Jul 11 06:13:00 2020 R0: 68255258401606827267825690896701994303488
  9. Sat Jul 11 06:13:00 2020 R1: 1
  10. Sat Jul 11 06:13:00 2020 A0: 1
  11. Sat Jul 11 06:13:00 2020 A1: 0
  12. Sat Jul 11 06:13:00 2020 A2: 0
  13. Sat Jul 11 06:13:00 2020 A3: 0
  14. Sat Jul 11 06:13:00 2020 A4: 0
  15. Sat Jul 11 06:13:00 2020 A5: 0
  16. Sat Jul 11 06:13:00 2020 A6: 88
  17. Sat Jul 11 06:13:00 2020 skew 1.00, size 3.534e-12, alpha 0.480, combined = 2.966e-13 rroots = 0
  18. Sat Jul 11 06:13:00 2020
  19. Sat Jul 11 06:13:00 2020 commencing relation filtering
  20. Sat Jul 11 06:13:00 2020 setting target matrix density to 120.0
  21. Sat Jul 11 06:13:00 2020 estimated available RAM is 16007.4 MB
  22. Sat Jul 11 06:13:00 2020 commencing duplicate removal, pass 1
  23. Sat Jul 11 06:17:00 2020 error -1 reading relation 35206013
  24. Sat Jul 11 06:17:00 2020 error -1 reading relation 35206014
  25. Sat Jul 11 06:17:00 2020 error -1 reading relation 35236244
  26. Sat Jul 11 06:17:00 2020 error -1 reading relation 35236245
  27. Sat Jul 11 06:19:02 2020 error -1 reading relation 53105280
  28. Sat Jul 11 06:22:24 2020 error -1 reading relation 82611119
  29. Sat Jul 11 06:22:24 2020 error -1 reading relation 82611120
  30. Sat Jul 11 06:22:24 2020 error -1 reading relation 82611121
  31. Sat Jul 11 06:23:19 2020 error -1 reading relation 90738198
  32. Sat Jul 11 06:24:42 2020 error -1 reading relation 102708673
  33. Sat Jul 11 06:32:55 2020 error -15 reading relation 174748901
  34. Sat Jul 11 06:35:07 2020 error -1 reading relation 194313185
  35. Sat Jul 11 06:37:02 2020 error -9 reading relation 210233319
  36. Sat Jul 11 06:37:03 2020 error -15 reading relation 210253376
  37. Sat Jul 11 06:37:04 2020 error -5 reading relation 210431945
  38. Sat Jul 11 06:37:06 2020 error -9 reading relation 210744133
  39. Sat Jul 11 06:37:08 2020 error -9 reading relation 211036180
  40. Sat Jul 11 06:37:08 2020 skipped 302 relations with b > 2^32
  41. Sat Jul 11 06:37:08 2020 skipped 1 relations with composite factors
  42. Sat Jul 11 06:37:08 2020 found 10247568 hash collisions in 211089818 relations
  43. Sat Jul 11 06:37:19 2020 commencing duplicate removal, pass 2
  44. Sat Jul 11 06:38:19 2020 found 625962 duplicates and 210463856 unique relations
  45. Sat Jul 11 06:38:19 2020 memory use: 522.4 MB
  46. Sat Jul 11 06:38:19 2020 reading ideals above 165740544
  47. Sat Jul 11 06:38:19 2020 commencing singleton removal, initial pass
  48. Sat Jul 11 06:56:17 2020 memory use: 5512.0 MB
  49. Sat Jul 11 06:56:18 2020 reading all ideals from disk
  50. Sat Jul 11 06:56:26 2020 memory use: 3691.1 MB
  51. Sat Jul 11 06:56:33 2020 commencing in-memory singleton removal
  52. Sat Jul 11 06:56:40 2020 begin with 210463856 relations and 164859915 unique ideals
  53. Sat Jul 11 06:58:08 2020 reduce to 151798489 relations and 101305732 ideals in 13 passes
  54. Sat Jul 11 06:58:08 2020 max relations containing the same ideal: 47
  55. Sat Jul 11 06:58:15 2020 reading ideals above 720000
  56. Sat Jul 11 06:58:15 2020 commencing singleton removal, initial pass
  57. Sat Jul 11 07:14:47 2020 memory use: 3012.0 MB
  58. Sat Jul 11 07:14:47 2020 reading all ideals from disk
  59. Sat Jul 11 07:15:03 2020 memory use: 6003.2 MB
  60. Sat Jul 11 07:15:17 2020 keeping 119104959 ideals with weight <= 200, target excess is 751455
  61. Sat Jul 11 07:15:34 2020 commencing in-memory singleton removal
  62. Sat Jul 11 07:15:45 2020 begin with 151798494 relations and 119104959 unique ideals
  63. Sat Jul 11 07:17:00 2020 reduce to 151797624 relations and 119104088 ideals in 6 passes
  64. Sat Jul 11 07:17:00 2020 max relations containing the same ideal: 200
  65. Sat Jul 11 07:17:57 2020 removing 10226230 relations and 8226230 ideals in 2000000 cliques
  66. Sat Jul 11 07:18:00 2020 commencing in-memory singleton removal
  67. Sat Jul 11 07:18:11 2020 begin with 141571394 relations and 119104088 unique ideals
  68. Sat Jul 11 07:19:34 2020 reduce to 141003070 relations and 110299562 ideals in 7 passes
  69. Sat Jul 11 07:19:34 2020 max relations containing the same ideal: 199
  70. Sat Jul 11 07:20:27 2020 removing 7874543 relations and 5874543 ideals in 2000000 cliques
  71. Sat Jul 11 07:20:30 2020 commencing in-memory singleton removal
  72. Sat Jul 11 07:20:41 2020 begin with 133128527 relations and 110299562 unique ideals
  73. Sat Jul 11 07:21:59 2020 reduce to 132748917 relations and 104039598 ideals in 7 passes
  74. Sat Jul 11 07:21:59 2020 max relations containing the same ideal: 193
  75. Sat Jul 11 07:22:47 2020 removing 7186387 relations and 5186387 ideals in 2000000 cliques
  76. Sat Jul 11 07:22:50 2020 commencing in-memory singleton removal
  77. Sat Jul 11 07:22:59 2020 begin with 125562530 relations and 104039598 unique ideals
  78. Sat Jul 11 07:23:59 2020 reduce to 125229768 relations and 98515449 ideals in 6 passes
  79. Sat Jul 11 07:23:59 2020 max relations containing the same ideal: 187
  80. Sat Jul 11 07:24:45 2020 removing 6830781 relations and 4830781 ideals in 2000000 cliques
  81. Sat Jul 11 07:24:47 2020 commencing in-memory singleton removal
  82. Sat Jul 11 07:24:56 2020 begin with 118398987 relations and 98515449 unique ideals
  83. Sat Jul 11 07:26:11 2020 reduce to 118087271 relations and 93368159 ideals in 8 passes
  84. Sat Jul 11 07:26:11 2020 max relations containing the same ideal: 180
  85. Sat Jul 11 07:26:55 2020 removing 6612742 relations and 4612742 ideals in 2000000 cliques
  86. Sat Jul 11 07:26:58 2020 commencing in-memory singleton removal
  87. Sat Jul 11 07:27:06 2020 begin with 111474529 relations and 93368159 unique ideals
  88. Sat Jul 11 07:27:59 2020 reduce to 111173104 relations and 88449150 ideals in 6 passes
  89. Sat Jul 11 07:27:59 2020 max relations containing the same ideal: 173
  90. Sat Jul 11 07:28:40 2020 removing 6469070 relations and 4469070 ideals in 2000000 cliques
  91. Sat Jul 11 07:28:43 2020 commencing in-memory singleton removal
  92. Sat Jul 11 07:28:50 2020 begin with 104704034 relations and 88449150 unique ideals
  93. Sat Jul 11 07:29:48 2020 reduce to 104405247 relations and 83676322 ideals in 7 passes
  94. Sat Jul 11 07:29:48 2020 max relations containing the same ideal: 168
  95. Sat Jul 11 07:30:26 2020 removing 6369225 relations and 4369225 ideals in 2000000 cliques
  96. Sat Jul 11 07:30:29 2020 commencing in-memory singleton removal
  97. Sat Jul 11 07:30:36 2020 begin with 98036022 relations and 83676322 unique ideals
  98. Sat Jul 11 07:31:30 2020 reduce to 97735526 relations and 79001479 ideals in 7 passes
  99. Sat Jul 11 07:31:30 2020 max relations containing the same ideal: 161
  100. Sat Jul 11 07:32:06 2020 removing 6301450 relations and 4301450 ideals in 2000000 cliques
  101. Sat Jul 11 07:32:09 2020 commencing in-memory singleton removal
  102. Sat Jul 11 07:32:15 2020 begin with 91434076 relations and 79001479 unique ideals
  103. Sat Jul 11 07:32:58 2020 reduce to 91125370 relations and 74385593 ideals in 6 passes
  104. Sat Jul 11 07:32:58 2020 max relations containing the same ideal: 153
  105. Sat Jul 11 07:33:32 2020 removing 6256478 relations and 4256478 ideals in 2000000 cliques
  106. Sat Jul 11 07:33:35 2020 commencing in-memory singleton removal
  107. Sat Jul 11 07:33:41 2020 begin with 84868892 relations and 74385593 unique ideals
  108. Sat Jul 11 07:34:26 2020 reduce to 84548952 relations and 69802798 ideals in 7 passes
  109. Sat Jul 11 07:34:26 2020 max relations containing the same ideal: 147
  110. Sat Jul 11 07:34:58 2020 removing 6232376 relations and 4232376 ideals in 2000000 cliques
  111. Sat Jul 11 07:35:00 2020 commencing in-memory singleton removal
  112. Sat Jul 11 07:35:05 2020 begin with 78316576 relations and 69802798 unique ideals
  113. Sat Jul 11 07:35:47 2020 reduce to 77978534 relations and 65225220 ideals in 7 passes
  114. Sat Jul 11 07:35:47 2020 max relations containing the same ideal: 136
  115. Sat Jul 11 07:36:15 2020 removing 6224018 relations and 4224018 ideals in 2000000 cliques
  116. Sat Jul 11 07:36:18 2020 commencing in-memory singleton removal
  117. Sat Jul 11 07:36:22 2020 begin with 71754516 relations and 65225220 unique ideals
  118. Sat Jul 11 07:37:00 2020 reduce to 71396424 relations and 60635086 ideals in 7 passes
  119. Sat Jul 11 07:37:00 2020 max relations containing the same ideal: 128
  120. Sat Jul 11 07:37:27 2020 removing 6227624 relations and 4227624 ideals in 2000000 cliques
  121. Sat Jul 11 07:37:30 2020 commencing in-memory singleton removal
  122. Sat Jul 11 07:37:34 2020 begin with 65168800 relations and 60635086 unique ideals
  123. Sat Jul 11 07:38:08 2020 reduce to 64779772 relations and 56009044 ideals in 7 passes
  124. Sat Jul 11 07:38:08 2020 max relations containing the same ideal: 121
  125. Sat Jul 11 07:38:33 2020 removing 6252573 relations and 4252573 ideals in 2000000 cliques
  126. Sat Jul 11 07:38:35 2020 commencing in-memory singleton removal
  127. Sat Jul 11 07:38:39 2020 begin with 58527199 relations and 56009044 unique ideals
  128. Sat Jul 11 07:39:05 2020 reduce to 58099235 relations and 51317198 ideals in 6 passes
  129. Sat Jul 11 07:39:05 2020 max relations containing the same ideal: 114
  130. Sat Jul 11 07:39:27 2020 removing 6296724 relations and 4296724 ideals in 2000000 cliques
  131. Sat Jul 11 07:39:29 2020 commencing in-memory singleton removal
  132. Sat Jul 11 07:39:32 2020 begin with 51802511 relations and 51317198 unique ideals
  133. Sat Jul 11 07:39:59 2020 reduce to 51319883 relations and 46523477 ideals in 7 passes
  134. Sat Jul 11 07:39:59 2020 max relations containing the same ideal: 104
  135. Sat Jul 11 07:40:18 2020 removing 6353046 relations and 4353046 ideals in 2000000 cliques
  136. Sat Jul 11 07:40:20 2020 commencing in-memory singleton removal
  137. Sat Jul 11 07:40:23 2020 begin with 44966837 relations and 46523477 unique ideals
  138. Sat Jul 11 07:40:48 2020 reduce to 44406802 relations and 41591830 ideals in 8 passes
  139. Sat Jul 11 07:40:48 2020 max relations containing the same ideal: 95
  140. Sat Jul 11 07:41:05 2020 removing 6293742 relations and 4350458 ideals in 1943284 cliques
  141. Sat Jul 11 07:41:06 2020 commencing in-memory singleton removal
  142. Sat Jul 11 07:41:09 2020 begin with 38113060 relations and 41591830 unique ideals
  143. Sat Jul 11 07:41:30 2020 reduce to 37461206 relations and 36565108 ideals in 8 passes
  144. Sat Jul 11 07:41:30 2020 max relations containing the same ideal: 85
  145. Sat Jul 11 07:41:44 2020 removing 167767 relations and 143357 ideals in 24410 cliques
  146. Sat Jul 11 07:41:45 2020 commencing in-memory singleton removal
  147. Sat Jul 11 07:41:47 2020 begin with 37293439 relations and 36565108 unique ideals
  148. Sat Jul 11 07:42:00 2020 reduce to 37292893 relations and 36421205 ideals in 5 passes
  149. Sat Jul 11 07:42:00 2020 max relations containing the same ideal: 85
  150. Sat Jul 11 07:42:07 2020 relations with 0 large ideals: 28549
  151. Sat Jul 11 07:42:07 2020 relations with 1 large ideals: 11345
  152. Sat Jul 11 07:42:07 2020 relations with 2 large ideals: 162658
  153. Sat Jul 11 07:42:07 2020 relations with 3 large ideals: 1054090
  154. Sat Jul 11 07:42:07 2020 relations with 4 large ideals: 3684321
  155. Sat Jul 11 07:42:07 2020 relations with 5 large ideals: 7688531
  156. Sat Jul 11 07:42:07 2020 relations with 6 large ideals: 10009250
  157. Sat Jul 11 07:42:07 2020 relations with 7+ large ideals: 14654149
  158. Sat Jul 11 07:42:07 2020 commencing 2-way merge
  159. Sat Jul 11 07:42:26 2020 reduce to 24847641 relation sets and 23975952 unique ideals
  160. Sat Jul 11 07:42:26 2020 commencing full merge
  161. Sat Jul 11 07:50:02 2020 memory use: 3130.1 MB
  162. Sat Jul 11 07:50:04 2020 found 11069115 cycles, need 11052152
  163. Sat Jul 11 07:50:06 2020 weight of 11052152 cycles is about 1326523357 (120.02/cycle)
  164. Sat Jul 11 07:50:06 2020 distribution of cycle lengths:
  165. Sat Jul 11 07:50:06 2020 1 relations: 461114
  166. Sat Jul 11 07:50:06 2020 2 relations: 657220
  167. Sat Jul 11 07:50:06 2020 3 relations: 769173
  168. Sat Jul 11 07:50:06 2020 4 relations: 797796
  169. Sat Jul 11 07:50:06 2020 5 relations: 815439
  170. Sat Jul 11 07:50:06 2020 6 relations: 813177
  171. Sat Jul 11 07:50:06 2020 7 relations: 797747
  172. Sat Jul 11 07:50:06 2020 8 relations: 761353
  173. Sat Jul 11 07:50:06 2020 9 relations: 713937
  174. Sat Jul 11 07:50:06 2020 10+ relations: 4465196
  175. Sat Jul 11 07:50:06 2020 heaviest cycle: 28 relations
  176. Sat Jul 11 07:50:09 2020 commencing cycle optimization
  177. Sat Jul 11 07:50:27 2020 start with 99352009 relations
  178. Sat Jul 11 07:53:36 2020 pruned 4804994 relations
  179. Sat Jul 11 07:53:36 2020 memory use: 2569.7 MB
  180. Sat Jul 11 07:53:36 2020 distribution of cycle lengths:
  181. Sat Jul 11 07:53:36 2020 1 relations: 461114
  182. Sat Jul 11 07:53:36 2020 2 relations: 673942
  183. Sat Jul 11 07:53:36 2020 3 relations: 802697
  184. Sat Jul 11 07:53:36 2020 4 relations: 831965
  185. Sat Jul 11 07:53:36 2020 5 relations: 859033
  186. Sat Jul 11 07:53:36 2020 6 relations: 855154
  187. Sat Jul 11 07:53:36 2020 7 relations: 842024
  188. Sat Jul 11 07:53:36 2020 8 relations: 799773
  189. Sat Jul 11 07:53:36 2020 9 relations: 748614
  190. Sat Jul 11 07:53:36 2020 10+ relations: 4177836
  191. Sat Jul 11 07:53:36 2020 heaviest cycle: 28 relations
  192. Sat Jul 11 07:53:56 2020 RelProcTime: 6056
  193. Sat Jul 11 07:53:56 2020
  194. Sat Jul 11 07:53:56 2020 commencing linear algebra
  195. Sat Jul 11 07:53:57 2020 read 11052152 cycles
  196. Sat Jul 11 07:54:15 2020 cycles contain 36823830 unique relations
  197. Sat Jul 11 07:57:17 2020 read 36823830 relations
  198. Sat Jul 11 07:58:08 2020 using 20 quadratic characters above 4294917295
  199. Sat Jul 11 08:00:27 2020 building initial matrix
  200. Sat Jul 11 08:06:42 2020 memory use: 4750.0 MB
  201. Sat Jul 11 08:06:47 2020 read 11052152 cycles
  202. Sat Jul 11 08:06:48 2020 matrix is 11051975 x 11052152 (5165.0 MB) with weight 1503988454 (136.08/col)
  203. Sat Jul 11 08:06:48 2020 sparse part has weight 1232393689 (111.51/col)
  204. Sat Jul 11 08:08:54 2020 filtering completed in 2 passes
  205. Sat Jul 11 08:08:56 2020 matrix is 11051828 x 11052002 (5165.0 MB) with weight 1503983133 (136.08/col)
  206. Sat Jul 11 08:08:56 2020 sparse part has weight 1232392121 (111.51/col)
  207. Sat Jul 11 08:09:30 2020 matrix starts at (0, 0)
  208. Sat Jul 11 08:09:32 2020 matrix is 11051828 x 11052002 (5165.0 MB) with weight 1503983133 (136.08/col)
  209. Sat Jul 11 08:09:32 2020 sparse part has weight 1232392121 (111.51/col)
  210. Sat Jul 11 08:09:32 2020 saving the first 48 matrix rows for later
  211. Sat Jul 11 08:09:33 2020 matrix includes 64 packed rows
  212. Sat Jul 11 08:09:35 2020 matrix is 11051780 x 11052002 (4981.3 MB) with weight 1295483681 (117.22/col)
  213. Sat Jul 11 08:09:35 2020 sparse part has weight 1195302745 (108.15/col)
  214. Sat Jul 11 08:09:35 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  215. Sat Jul 11 08:10:06 2020 commencing Lanczos iteration (4 threads)
  216. Sat Jul 11 08:10:06 2020 memory use: 4752.9 MB
  217. Sat Jul 11 08:10:56 2020 linear algebra at 0.0%, ETA 97h19m
  218. Sat Jul 11 08:11:13 2020 checkpointing every 120000 dimensions
  219. Mon Jul 13 03:51:12 2020 error: corrupt state, please restart from checkpoint
  220. Mon Jul 13 06:19:27 2020
  221. Mon Jul 13 06:19:27 2020
  222. Mon Jul 13 06:19:27 2020 Msieve v. 1.54 (SVN 1025)
  223. Mon Jul 13 06:19:27 2020 random seeds: cd8c50f7 ff6b48fc
  224. Mon Jul 13 06:19:27 2020 factoring 166475336856725846108688846256080427785608468694102278558130203234340226553694611185961585411365749158302834451728437050196915250807569913105783467566588693039798270894450993786189759013502915301737485240598091 (210 digits)
  225. Mon Jul 13 06:19:28 2020 searching for 15-digit factors
  226. Mon Jul 13 06:19:28 2020 commencing number field sieve (210-digit input)
  227. Mon Jul 13 06:19:28 2020 R0: 68255258401606827267825690896701994303488
  228. Mon Jul 13 06:19:28 2020 R1: 1
  229. Mon Jul 13 06:19:28 2020 A0: 1
  230. Mon Jul 13 06:19:28 2020 A1: 0
  231. Mon Jul 13 06:19:28 2020 A2: 0
  232. Mon Jul 13 06:19:28 2020 A3: 0
  233. Mon Jul 13 06:19:28 2020 A4: 0
  234. Mon Jul 13 06:19:28 2020 A5: 0
  235. Mon Jul 13 06:19:28 2020 A6: 88
  236. Mon Jul 13 06:19:28 2020 skew 1.00, size 3.534e-12, alpha 0.480, combined = 2.966e-13 rroots = 0
  237. Mon Jul 13 06:19:28 2020
  238. Mon Jul 13 06:19:28 2020 commencing linear algebra
  239. Mon Jul 13 06:19:28 2020 skipping matrix build
  240. Mon Jul 13 06:19:31 2020 matrix starts at (0, 0)
  241. Mon Jul 13 06:19:32 2020 matrix is 11051828 x 11052002 (5165.0 MB) with weight 1503983133 (136.08/col)
  242. Mon Jul 13 06:19:32 2020 sparse part has weight 1232392121 (111.51/col)
  243. Mon Jul 13 06:19:32 2020 saving the first 48 matrix rows for later
  244. Mon Jul 13 06:19:34 2020 matrix includes 64 packed rows
  245. Mon Jul 13 06:19:35 2020 matrix is 11051780 x 11052002 (4981.3 MB) with weight 1295483681 (117.22/col)
  246. Mon Jul 13 06:19:35 2020 sparse part has weight 1195302745 (108.15/col)
  247. Mon Jul 13 06:19:35 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  248. Mon Jul 13 06:20:06 2020 commencing Lanczos iteration (4 threads)
  249. Mon Jul 13 06:20:06 2020 memory use: 4752.9 MB
  250. Mon Jul 13 06:20:07 2020 restarting at iteration 74012 (dim = 4680052)
  251. Mon Jul 13 06:20:59 2020 linear algebra at 42.4%, ETA 60h39m
  252. Mon Jul 13 06:21:14 2020 checkpointing every 110000 dimensions
  253. Wed Jul 15 16:32:21 2020 lanczos halted after 174768 iterations (dim = 11051779)
  254. Wed Jul 15 16:32:31 2020 recovered 37 nontrivial dependencies
  255. Wed Jul 15 16:32:31 2020 BLanczosTime: 209583
  256. Wed Jul 15 16:32:31 2020
  257. Wed Jul 15 16:32:31 2020 commencing square root phase
  258. Wed Jul 15 16:32:31 2020 handling dependencies 1 to 64
  259. Wed Jul 15 16:32:31 2020 reading relations for dependency 1
  260. Wed Jul 15 16:32:32 2020 read 5528653 cycles
  261. Wed Jul 15 16:32:41 2020 cycles contain 18414070 unique relations
  262. Wed Jul 15 16:34:22 2020 read 18414070 relations
  263. Wed Jul 15 16:35:23 2020 multiplying 18414070 relations
  264. Wed Jul 15 16:49:04 2020 multiply complete, coefficients have about 569.51 million bits
  265. Wed Jul 15 16:49:06 2020 initial square root is modulo 128659
  266. Wed Jul 15 17:03:45 2020 sqrtTime: 1874
  267. Wed Jul 15 17:03:45 2020 p92 factor: 16663982719926457847714903059399228249084384114688985854195934667430179496982025044970843531
  268. Wed Jul 15 17:03:45 2020 p118 factor: 9990128989851745459335683047883646231755174006381094670405887049271844705016236970242020394316837363877335505086941761
  269. Wed Jul 15 17:03:45 2020 elapsed time 58:44:18
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