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  1. Mon Dec 28 19:20:35 2020
  2. Mon Dec 28 19:20:35 2020
  3. Mon Dec 28 19:20:35 2020 Msieve v. 1.53 (SVN 988M)
  4. Mon Dec 28 19:20:35 2020 random seeds: 21d98464 ed2ca998
  5. Mon Dec 28 19:20:35 2020 factoring 40464917323247670766238465822934291192191684835787617841077197034363660490715910775692481524769874764289823061473088484572540762166823817495079000333834591495988956971640471099545121777 (185 digits)
  6. Mon Dec 28 19:20:35 2020 searching for 15-digit factors
  7. Mon Dec 28 19:20:36 2020 commencing number field sieve (185-digit input)
  8. Mon Dec 28 19:20:36 2020 R0: -337884098003729969585505195732700691
  9. Mon Dec 28 19:20:36 2020 R1: 62196480629665921
  10. Mon Dec 28 19:20:36 2020 A0: -99510777646415953078853162596803385053622800
  11. Mon Dec 28 19:20:36 2020 A1: 17633890370473028003956127970300927652
  12. Mon Dec 28 19:20:36 2020 A2: 2118391318961471795565744265336
  13. Mon Dec 28 19:20:36 2020 A3: -38740378633112493520571
  14. Mon Dec 28 19:20:36 2020 A4: -1672424375878410
  15. Mon Dec 28 19:20:36 2020 A5: 9188400
  16. Mon Dec 28 19:20:36 2020 skew 36233039.89, size 4.609e-18, alpha -8.045, combined = 4.437e-14 rroots = 5
  17. Mon Dec 28 19:20:36 2020
  18. Mon Dec 28 19:20:36 2020 commencing relation filtering
  19. Mon Dec 28 19:20:36 2020 setting target matrix density to 120.0
  20. Mon Dec 28 19:20:36 2020 estimated available RAM is 32768.0 MB
  21. Mon Dec 28 19:20:36 2020 commencing duplicate removal, pass 1
  22. Mon Dec 28 19:26:03 2020 error -15 reading relation 49802364
  23. Mon Dec 28 19:27:35 2020 error -11 reading relation 65126058
  24. Mon Dec 28 19:32:44 2020 error -15 reading relation 116510617
  25. Mon Dec 28 19:33:22 2020 error -15 reading relation 122988415
  26. Mon Dec 28 19:36:26 2020 error -15 reading relation 153494583
  27. Mon Dec 28 19:51:29 2020 error -15 reading relation 302838548
  28. Mon Dec 28 19:55:52 2020 error -15 reading relation 346154735
  29. Mon Dec 28 19:55:53 2020 error -15 reading relation 346424867
  30. Mon Dec 28 19:56:02 2020 error -15 reading relation 347897481
  31. Mon Dec 28 19:56:10 2020 error -15 reading relation 349140270
  32. Mon Dec 28 19:56:30 2020 skipped 1 relations with b > 2^32
  33. Mon Dec 28 19:56:30 2020 skipped 6 relations with composite factors
  34. Mon Dec 28 19:56:30 2020 found 26013338 hash collisions in 352582292 relations
  35. Mon Dec 28 19:56:51 2020 added 121268 free relations
  36. Mon Dec 28 19:56:51 2020 commencing duplicate removal, pass 2
  37. Mon Dec 28 19:58:32 2020 found 29 duplicates and 352703531 unique relations
  38. Mon Dec 28 19:58:32 2020 memory use: 1257.5 MB
  39. Mon Dec 28 19:58:32 2020 reading ideals above 204931072
  40. Mon Dec 28 19:58:32 2020 commencing singleton removal, initial pass
  41. Mon Dec 28 20:24:46 2020 memory use: 6024.0 MB
  42. Mon Dec 28 20:24:46 2020 reading all ideals from disk
  43. Mon Dec 28 20:24:50 2020 memory use: 6706.6 MB
  44. Mon Dec 28 20:25:06 2020 commencing in-memory singleton removal
  45. Mon Dec 28 20:25:20 2020 begin with 352703531 relations and 313722424 unique ideals
  46. Mon Dec 28 20:28:03 2020 reduce to 219666438 relations and 166377620 ideals in 15 passes
  47. Mon Dec 28 20:28:03 2020 max relations containing the same ideal: 54
  48. Mon Dec 28 20:28:20 2020 reading ideals above 720000
  49. Mon Dec 28 20:28:21 2020 commencing singleton removal, initial pass
  50. Mon Dec 28 20:50:07 2020 memory use: 5512.0 MB
  51. Mon Dec 28 20:50:07 2020 reading all ideals from disk
  52. Mon Dec 28 20:50:13 2020 memory use: 9192.1 MB
  53. Mon Dec 28 20:50:37 2020 keeping 187919674 ideals with weight <= 200, target excess is 1132947
  54. Mon Dec 28 20:51:00 2020 commencing in-memory singleton removal
  55. Mon Dec 28 20:51:16 2020 begin with 219666438 relations and 187919674 unique ideals
  56. Mon Dec 28 20:52:59 2020 reduce to 219664051 relations and 187917287 ideals in 6 passes
  57. Mon Dec 28 20:52:59 2020 max relations containing the same ideal: 200
  58. Mon Dec 28 20:54:26 2020 removing 14040780 relations and 12040780 ideals in 2000000 cliques
  59. Mon Dec 28 20:54:31 2020 commencing in-memory singleton removal
  60. Mon Dec 28 20:54:46 2020 begin with 205623271 relations and 187917287 unique ideals
  61. Mon Dec 28 20:57:10 2020 reduce to 204912628 relations and 175156962 ideals in 9 passes
  62. Mon Dec 28 20:57:10 2020 max relations containing the same ideal: 199
  63. Mon Dec 28 20:58:32 2020 removing 10563143 relations and 8563143 ideals in 2000000 cliques
  64. Mon Dec 28 20:58:36 2020 commencing in-memory singleton removal
  65. Mon Dec 28 20:58:51 2020 begin with 194349485 relations and 175156962 unique ideals
  66. Mon Dec 28 21:00:52 2020 reduce to 193898368 relations and 166138007 ideals in 8 passes
  67. Mon Dec 28 21:00:52 2020 max relations containing the same ideal: 196
  68. Mon Dec 28 21:02:09 2020 removing 9482383 relations and 7482383 ideals in 2000000 cliques
  69. Mon Dec 28 21:02:12 2020 commencing in-memory singleton removal
  70. Mon Dec 28 21:02:26 2020 begin with 184415985 relations and 166138007 unique ideals
  71. Mon Dec 28 21:04:35 2020 reduce to 184028048 relations and 158263816 ideals in 9 passes
  72. Mon Dec 28 21:04:35 2020 max relations containing the same ideal: 190
  73. Mon Dec 28 21:05:48 2020 removing 8910863 relations and 6910863 ideals in 2000000 cliques
  74. Mon Dec 28 21:05:52 2020 commencing in-memory singleton removal
  75. Mon Dec 28 21:06:04 2020 begin with 175117185 relations and 158263816 unique ideals
  76. Mon Dec 28 21:07:54 2020 reduce to 174759804 relations and 150991867 ideals in 8 passes
  77. Mon Dec 28 21:07:54 2020 max relations containing the same ideal: 186
  78. Mon Dec 28 21:09:03 2020 removing 8547125 relations and 6547125 ideals in 2000000 cliques
  79. Mon Dec 28 21:09:07 2020 commencing in-memory singleton removal
  80. Mon Dec 28 21:09:19 2020 begin with 166212679 relations and 150991867 unique ideals
  81. Mon Dec 28 21:10:49 2020 reduce to 165864361 relations and 144092810 ideals in 7 passes
  82. Mon Dec 28 21:10:49 2020 max relations containing the same ideal: 178
  83. Mon Dec 28 21:11:55 2020 removing 8301385 relations and 6301385 ideals in 2000000 cliques
  84. Mon Dec 28 21:11:58 2020 commencing in-memory singleton removal
  85. Mon Dec 28 21:12:10 2020 begin with 157562976 relations and 144092810 unique ideals
  86. Mon Dec 28 21:13:35 2020 reduce to 157217032 relations and 137441664 ideals in 7 passes
  87. Mon Dec 28 21:13:35 2020 max relations containing the same ideal: 174
  88. Mon Dec 28 21:14:39 2020 removing 8128088 relations and 6128088 ideals in 2000000 cliques
  89. Mon Dec 28 21:14:42 2020 commencing in-memory singleton removal
  90. Mon Dec 28 21:14:52 2020 begin with 149088944 relations and 137441664 unique ideals
  91. Mon Dec 28 21:16:24 2020 reduce to 148740432 relations and 130961153 ideals in 8 passes
  92. Mon Dec 28 21:16:24 2020 max relations containing the same ideal: 167
  93. Mon Dec 28 21:17:25 2020 removing 8014883 relations and 6014883 ideals in 2000000 cliques
  94. Mon Dec 28 21:17:28 2020 commencing in-memory singleton removal
  95. Mon Dec 28 21:17:37 2020 begin with 140725549 relations and 130961153 unique ideals
  96. Mon Dec 28 21:18:53 2020 reduce to 140370940 relations and 124587445 ideals in 7 passes
  97. Mon Dec 28 21:18:53 2020 max relations containing the same ideal: 159
  98. Mon Dec 28 21:19:50 2020 removing 7939247 relations and 5939247 ideals in 2000000 cliques
  99. Mon Dec 28 21:19:54 2020 commencing in-memory singleton removal
  100. Mon Dec 28 21:20:03 2020 begin with 132431693 relations and 124587445 unique ideals
  101. Mon Dec 28 21:21:14 2020 reduce to 132060992 relations and 118272872 ideals in 7 passes
  102. Mon Dec 28 21:21:14 2020 max relations containing the same ideal: 151
  103. Mon Dec 28 21:22:07 2020 removing 7902244 relations and 5902244 ideals in 2000000 cliques
  104. Mon Dec 28 21:22:10 2020 commencing in-memory singleton removal
  105. Mon Dec 28 21:22:19 2020 begin with 124158748 relations and 118272872 unique ideals
  106. Mon Dec 28 21:23:34 2020 reduce to 123770256 relations and 111976933 ideals in 8 passes
  107. Mon Dec 28 21:23:34 2020 max relations containing the same ideal: 146
  108. Mon Dec 28 21:24:25 2020 removing 7894476 relations and 5894476 ideals in 2000000 cliques
  109. Mon Dec 28 21:24:28 2020 commencing in-memory singleton removal
  110. Mon Dec 28 21:24:36 2020 begin with 115875780 relations and 111976933 unique ideals
  111. Mon Dec 28 21:25:37 2020 reduce to 115461035 relations and 105661867 ideals in 7 passes
  112. Mon Dec 28 21:25:37 2020 max relations containing the same ideal: 138
  113. Mon Dec 28 21:26:24 2020 removing 7917693 relations and 5917693 ideals in 2000000 cliques
  114. Mon Dec 28 21:26:26 2020 commencing in-memory singleton removal
  115. Mon Dec 28 21:26:34 2020 begin with 107543342 relations and 105661867 unique ideals
  116. Mon Dec 28 21:27:30 2020 reduce to 107094748 relations and 99288944 ideals in 7 passes
  117. Mon Dec 28 21:27:30 2020 max relations containing the same ideal: 131
  118. Mon Dec 28 21:28:15 2020 removing 7968557 relations and 5968557 ideals in 2000000 cliques
  119. Mon Dec 28 21:28:17 2020 commencing in-memory singleton removal
  120. Mon Dec 28 21:28:24 2020 begin with 99126191 relations and 99288944 unique ideals
  121. Mon Dec 28 21:29:23 2020 reduce to 98636065 relations and 92822483 ideals in 8 passes
  122. Mon Dec 28 21:29:23 2020 max relations containing the same ideal: 124
  123. Mon Dec 28 21:30:04 2020 removing 8055246 relations and 6055246 ideals in 2000000 cliques
  124. Mon Dec 28 21:30:06 2020 commencing in-memory singleton removal
  125. Mon Dec 28 21:30:13 2020 begin with 90580819 relations and 92822483 unique ideals
  126. Mon Dec 28 21:31:13 2020 reduce to 90029805 relations and 86206676 ideals in 9 passes
  127. Mon Dec 28 21:31:13 2020 max relations containing the same ideal: 119
  128. Mon Dec 28 21:31:51 2020 removing 8186448 relations and 6186448 ideals in 2000000 cliques
  129. Mon Dec 28 21:31:53 2020 commencing in-memory singleton removal
  130. Mon Dec 28 21:31:59 2020 begin with 81843357 relations and 86206676 unique ideals
  131. Mon Dec 28 21:32:59 2020 reduce to 81209512 relations and 79374529 ideals in 10 passes
  132. Mon Dec 28 21:32:59 2020 max relations containing the same ideal: 115
  133. Mon Dec 28 21:33:33 2020 removing 2843487 relations and 2322723 ideals in 520764 cliques
  134. Mon Dec 28 21:33:35 2020 commencing in-memory singleton removal
  135. Mon Dec 28 21:33:40 2020 begin with 78366025 relations and 79374529 unique ideals
  136. Mon Dec 28 21:34:26 2020 reduce to 78290800 relations and 76976166 ideals in 8 passes
  137. Mon Dec 28 21:34:26 2020 max relations containing the same ideal: 111
  138. Mon Dec 28 21:35:07 2020 relations with 0 large ideals: 3911
  139. Mon Dec 28 21:35:07 2020 relations with 1 large ideals: 11810
  140. Mon Dec 28 21:35:07 2020 relations with 2 large ideals: 190250
  141. Mon Dec 28 21:35:07 2020 relations with 3 large ideals: 1401661
  142. Mon Dec 28 21:35:07 2020 relations with 4 large ideals: 5608381
  143. Mon Dec 28 21:35:07 2020 relations with 5 large ideals: 13489614
  144. Mon Dec 28 21:35:07 2020 relations with 6 large ideals: 20474409
  145. Mon Dec 28 21:35:07 2020 relations with 7+ large ideals: 37110764
  146. Mon Dec 28 21:35:07 2020 commencing 2-way merge
  147. Mon Dec 28 21:35:54 2020 reduce to 49267113 relation sets and 47952479 unique ideals
  148. Mon Dec 28 21:35:54 2020 commencing full merge
  149. Mon Dec 28 21:52:36 2020 memory use: 5796.6 MB
  150. Mon Dec 28 21:52:48 2020 found 21867314 cycles, need 21784679
  151. Mon Dec 28 21:52:48 2020 weight of 21784679 cycles is about 2614378289 (120.01/cycle)
  152. Mon Dec 28 21:52:48 2020 distribution of cycle lengths:
  153. Mon Dec 28 21:52:48 2020 1 relations: 1588061
  154. Mon Dec 28 21:52:48 2020 2 relations: 1548711
  155. Mon Dec 28 21:52:48 2020 3 relations: 1614735
  156. Mon Dec 28 21:52:48 2020 4 relations: 1595192
  157. Mon Dec 28 21:52:48 2020 5 relations: 1588690
  158. Mon Dec 28 21:52:48 2020 6 relations: 1554553
  159. Mon Dec 28 21:52:48 2020 7 relations: 1486570
  160. Mon Dec 28 21:52:48 2020 8 relations: 1425575
  161. Mon Dec 28 21:52:48 2020 9 relations: 1332789
  162. Mon Dec 28 21:52:48 2020 10+ relations: 8049803
  163. Mon Dec 28 21:52:48 2020 heaviest cycle: 28 relations
  164. Mon Dec 28 21:52:58 2020 commencing cycle optimization
  165. Mon Dec 28 21:53:46 2020 start with 181670072 relations
  166. Mon Dec 28 22:01:20 2020 pruned 7349084 relations
  167. Mon Dec 28 22:01:20 2020 memory use: 5075.9 MB
  168. Mon Dec 28 22:01:20 2020 distribution of cycle lengths:
  169. Mon Dec 28 22:01:20 2020 1 relations: 1588061
  170. Mon Dec 28 22:01:20 2020 2 relations: 1590016
  171. Mon Dec 28 22:01:20 2020 3 relations: 1682013
  172. Mon Dec 28 22:01:20 2020 4 relations: 1656348
  173. Mon Dec 28 22:01:20 2020 5 relations: 1659080
  174. Mon Dec 28 22:01:20 2020 6 relations: 1616756
  175. Mon Dec 28 22:01:20 2020 7 relations: 1551124
  176. Mon Dec 28 22:01:20 2020 8 relations: 1478984
  177. Mon Dec 28 22:01:20 2020 9 relations: 1379388
  178. Mon Dec 28 22:01:20 2020 10+ relations: 7582909
  179. Mon Dec 28 22:01:20 2020 heaviest cycle: 28 relations
  180. Mon Dec 28 22:02:16 2020 RelProcTime: 9700
  181. Mon Dec 28 22:02:16 2020
  182. Mon Dec 28 22:02:16 2020 commencing linear algebra
  183. Mon Dec 28 22:02:19 2020 read 21784679 cycles
  184. Mon Dec 28 22:03:04 2020 cycles contain 77509837 unique relations
  185. Mon Dec 28 22:07:57 2020 read 77509837 relations
  186. Mon Dec 28 22:10:47 2020 using 20 quadratic characters above 4294917295
  187. Mon Dec 28 22:15:05 2020 building initial matrix
  188. Mon Dec 28 22:28:12 2020 memory use: 10956.1 MB
  189. Mon Dec 28 22:28:34 2020 read 21784679 cycles
  190. Mon Dec 28 22:28:37 2020 matrix is 21784501 x 21784679 (10344.9 MB) with weight 3151763341 (144.68/col)
  191. Mon Dec 28 22:28:37 2020 sparse part has weight 2450446721 (112.48/col)
  192. Mon Dec 28 22:32:39 2020 filtering completed in 2 passes
  193. Mon Dec 28 22:32:42 2020 matrix is 21783709 x 21783887 (10344.9 MB) with weight 3151727493 (144.68/col)
  194. Mon Dec 28 22:32:42 2020 sparse part has weight 2450438379 (112.49/col)
  195. Mon Dec 28 22:33:54 2020 matrix starts at (0, 0)
  196. Mon Dec 28 22:33:56 2020 matrix is 21783709 x 21783887 (10344.9 MB) with weight 3151727493 (144.68/col)
  197. Mon Dec 28 22:33:56 2020 sparse part has weight 2450438379 (112.49/col)
  198. Mon Dec 28 22:33:56 2020 saving the first 48 matrix rows for later
  199. Mon Dec 28 22:33:59 2020 matrix includes 64 packed rows
  200. Mon Dec 28 22:34:01 2020 matrix is 21783661 x 21783887 (10067.4 MB) with weight 2706616518 (124.25/col)
  201. Mon Dec 28 22:34:01 2020 sparse part has weight 2421279977 (111.15/col)
  202. Mon Dec 28 22:34:01 2020 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  203. Mon Dec 28 22:36:06 2020 commencing Lanczos iteration (10 threads)
  204. Mon Dec 28 22:36:06 2020 memory use: 8571.1 MB
  205. Mon Dec 28 22:36:51 2020 linear algebra at 0.0%, ETA 167h51m
  206. Mon Dec 28 22:37:05 2020 checkpointing every 130000 dimensions
  207. Wed Dec 30 08:38:27 2020 lanczos halted after 69371 iterations (dim = 4386591)
  208. Wed Dec 30 08:38:32 2020 BLanczosTime: 124576
  209. Wed Dec 30 08:38:32 2020
  210. Wed Dec 30 08:38:32 2020 commencing square root phase
  211. Wed Dec 30 08:38:33 2020 handling dependencies 1 to 64
  212. Wed Dec 30 08:38:33 2020 reading relations for dependency 1
  213. Wed Dec 30 08:38:33 2020 error: read_cycles can't open dependency file
  214. Wed Dec 30 08:59:32 2020
  215. Wed Dec 30 08:59:32 2020
  216. Wed Dec 30 08:59:32 2020 Msieve v. 1.53 (SVN 988M)
  217. Wed Dec 30 08:59:32 2020 random seeds: 3c7beff6 6c1d2542
  218. Wed Dec 30 08:59:32 2020 factoring 40464917323247670766238465822934291192191684835787617841077197034363660490715910775692481524769874764289823061473088484572540762166823817495079000333834591495988956971640471099545121777 (185 digits)
  219. Wed Dec 30 08:59:32 2020 searching for 15-digit factors
  220. Wed Dec 30 08:59:33 2020 commencing number field sieve (185-digit input)
  221. Wed Dec 30 08:59:33 2020 R0: -337884098003729969585505195732700691
  222. Wed Dec 30 08:59:33 2020 R1: 62196480629665921
  223. Wed Dec 30 08:59:33 2020 A0: -99510777646415953078853162596803385053622800
  224. Wed Dec 30 08:59:33 2020 A1: 17633890370473028003956127970300927652
  225. Wed Dec 30 08:59:33 2020 A2: 2118391318961471795565744265336
  226. Wed Dec 30 08:59:33 2020 A3: -38740378633112493520571
  227. Wed Dec 30 08:59:33 2020 A4: -1672424375878410
  228. Wed Dec 30 08:59:33 2020 A5: 9188400
  229. Wed Dec 30 08:59:33 2020 skew 36233039.89, size 4.609e-18, alpha -8.045, combined = 4.437e-14 rroots = 5
  230. Wed Dec 30 08:59:33 2020
  231. Wed Dec 30 08:59:33 2020 commencing linear algebra
  232. Wed Dec 30 09:02:53 2020 matrix starts at (0, 0)
  233. Wed Dec 30 09:02:55 2020 matrix is 21783709 x 21783887 (10344.9 MB) with weight 3151727493 (144.68/col)
  234. Wed Dec 30 09:02:55 2020 sparse part has weight 2450438379 (112.49/col)
  235. Wed Dec 30 09:02:55 2020 saving the first 48 matrix rows for later
  236. Wed Dec 30 09:02:58 2020 matrix includes 64 packed rows
  237. Wed Dec 30 09:03:00 2020 matrix is 21783661 x 21783887 (10067.4 MB) with weight 2706616518 (124.25/col)
  238. Wed Dec 30 09:03:00 2020 sparse part has weight 2421279977 (111.15/col)
  239. Wed Dec 30 09:03:00 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  240. Wed Dec 30 09:05:28 2020 commencing Lanczos iteration (16 threads)
  241. Wed Dec 30 09:05:28 2020 memory use: 8571.2 MB
  242. Wed Dec 30 09:05:48 2020 restarting at iteration 69371 (dim = 4386591)
  243. Wed Dec 30 09:06:16 2020 checkpointing every 190000 dimensions
  244. Wed Dec 30 09:06:17 2020 linear algebra at 20.1%, ETA 92h 4m
  245. Sun Jan 3 04:02:19 2021 lanczos halted after 344479 iterations (dim = 21783661)
  246. Sun Jan 3 04:02:35 2021 recovered 31 nontrivial dependencies
  247. Sun Jan 3 04:02:45 2021 BLanczosTime: 327792
  248. Sun Jan 3 04:02:45 2021
  249. Sun Jan 3 04:02:45 2021 commencing square root phase
  250. Sun Jan 3 04:02:45 2021 reading relations for dependency 1
  251. Sun Jan 3 04:03:02 2021 read 10893436 cycles
  252. Sun Jan 3 04:03:24 2021 cycles contain 38761134 unique relations
  253. Sun Jan 3 04:20:37 2021 read 38761134 relations
  254. Sun Jan 3 04:23:45 2021 multiplying 38761134 relations
  255. Sun Jan 3 05:10:20 2021 multiply complete, coefficients have about 2452.46 million bits
  256. Sun Jan 3 05:10:32 2021 initial square root is modulo 316703
  257. Sun Jan 3 05:58:50 2021 GCD is N, no factor found
  258. Sun Jan 3 04:15:25 2021 reading relations for dependency 11
  259. Sun Jan 3 04:34:17 2021 read 10893240 cycles
  260. Sun Jan 3 04:34:42 2021 cycles contain 38767630 unique relations
  261. Sun Jan 3 04:54:47 2021 read 38767630 relations
  262. Sun Jan 3 04:58:23 2021 multiplying 38767630 relations
  263. Sun Jan 3 05:44:36 2021 multiply complete, coefficients have about 2452.88 million bits
  264. Sun Jan 3 05:44:50 2021 initial square root is modulo 317333
  265. Sun Jan 3 06:32:43 2021 sqrtTime: 8238
  266. Sun Jan 3 06:32:43 2021 p74 factor: 67885338031643306133874275113686175257711072279110334310565761575819502743
  267. Sun Jan 3 06:32:43 2021 p111 factor: 596077422556043109114472682093870736192514415185823008769693093213690125158968866339435162968143929962206483639
  268. Sun Jan 3 06:32:43 2021 elapsed time 02:17:21
  269.  
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