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Jan 22nd, 2023
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  1. Sat Jan 21 20:39:29 2023
  2. Sat Jan 21 20:39:29 2023
  3. Sat Jan 21 20:39:29 2023 Msieve v. 1.54 (SVN unknown)
  4. Sat Jan 21 20:39:29 2023 random seeds: bd576cf8 3d7664bb
  5. Sat Jan 21 20:39:29 2023 factoring 57355549367268641264513085376500545553810491270788864648363221547874277448525714985269043112065419080850602798303653540251828425636819790519695421489775839193301557 (164 digits)
  6. Sat Jan 21 20:39:30 2023 searching for 15-digit factors
  7. Sat Jan 21 20:39:30 2023 commencing number field sieve (164-digit input)
  8. Sat Jan 21 20:39:30 2023 R0: -53974505724646429463083029679193
  9. Sat Jan 21 20:39:30 2023 R1: 13711108548803531
  10. Sat Jan 21 20:39:30 2023 A0: 12039559758933796799000021156865917209200
  11. Sat Jan 21 20:39:30 2023 A1: 16162147875421718480823795302980350
  12. Sat Jan 21 20:39:30 2023 A2: 1968938372277627071006296205
  13. Sat Jan 21 20:39:30 2023 A3: -141574517523411145360
  14. Sat Jan 21 20:39:30 2023 A4: -4804324810152
  15. Sat Jan 21 20:39:30 2023 A5: 125208
  16. Sat Jan 21 20:39:30 2023 skew 17840250.17, size 5.953e-16, alpha -7.774, combined = 8.330e-13 rroots = 5
  17. Sat Jan 21 20:39:30 2023
  18. Sat Jan 21 20:39:30 2023 commencing relation filtering
  19. Sat Jan 21 20:39:30 2023 setting target matrix density to 130.0
  20. Sat Jan 21 20:39:30 2023 estimated available RAM is 15536.6 MB
  21. Sat Jan 21 20:39:30 2023 commencing duplicate removal, pass 1
  22. Sat Jan 21 20:39:40 2023 error -15 reading relation 2579846
  23. Sat Jan 21 20:39:43 2023 error -1 reading relation 3428979
  24. Sat Jan 21 20:39:51 2023 error -1 reading relation 5569975
  25. Sat Jan 21 20:39:51 2023 error -1 reading relation 5571681
  26. Sat Jan 21 20:39:51 2023 error -15 reading relation 5577994
  27. Sat Jan 21 20:39:51 2023 error -9 reading relation 5608685
  28. Sat Jan 21 20:39:56 2023 error -9 reading relation 6877340
  29. Sat Jan 21 20:40:07 2023 error -9 reading relation 9853290
  30. Sat Jan 21 20:40:14 2023 error -9 reading relation 11535648
  31. Sat Jan 21 20:40:31 2023 error -5 reading relation 16096713
  32. Sat Jan 21 20:41:09 2023 error -9 reading relation 26184878
  33. Sat Jan 21 20:42:46 2023 error -1 reading relation 52055235
  34. Sat Jan 21 20:43:37 2023 error -15 reading relation 65776604
  35. Sat Jan 21 20:43:59 2023 error -9 reading relation 71490968
  36. Sat Jan 21 20:44:17 2023 error -9 reading relation 76240789
  37. Sat Jan 21 20:44:33 2023 error -1 reading relation 80649436
  38. Sat Jan 21 20:44:40 2023 error -15 reading relation 82707492
  39. Sat Jan 21 20:45:06 2023 error -15 reading relation 89628283
  40. Sat Jan 21 20:45:22 2023 error -15 reading relation 93770673
  41. Sat Jan 21 20:45:28 2023 error -9 reading relation 95545395
  42. Sat Jan 21 20:45:35 2023 error -15 reading relation 97511973
  43. Sat Jan 21 20:45:37 2023 error -1 reading relation 98010949
  44. Sat Jan 21 20:46:18 2023 error -9 reading relation 108869321
  45. Sat Jan 21 20:46:18 2023 error -15 reading relation 108870195
  46. Sat Jan 21 20:46:18 2023 error -9 reading relation 108871003
  47. Sat Jan 21 20:46:18 2023 error -15 reading relation 108897731
  48. Sat Jan 21 20:47:08 2023 error -9 reading relation 122250852
  49. Sat Jan 21 20:47:08 2023 error -15 reading relation 122261849
  50. Sat Jan 21 20:47:36 2023 error -15 reading relation 129698358
  51. Sat Jan 21 20:47:36 2023 error -15 reading relation 129698553
  52. Sat Jan 21 20:47:36 2023 error -15 reading relation 129709319
  53. Sat Jan 21 20:47:36 2023 error -1 reading relation 129709784
  54. Sat Jan 21 20:47:36 2023 error -15 reading relation 129711430
  55. Sat Jan 21 20:47:36 2023 error -9 reading relation 129745324
  56. Sat Jan 21 20:47:36 2023 error -15 reading relation 129745511
  57. Sat Jan 21 20:48:01 2023 error -15 reading relation 136429011
  58. Sat Jan 21 20:48:01 2023 error -15 reading relation 136452023
  59. Sat Jan 21 20:48:02 2023 error -15 reading relation 136638830
  60. Sat Jan 21 20:48:02 2023 error -15 reading relation 136801334
  61. Sat Jan 21 20:48:02 2023 error -9 reading relation 136836106
  62. Sat Jan 21 20:48:03 2023 error -1 reading relation 136966465
  63. Sat Jan 21 20:48:03 2023 error -9 reading relation 137066786
  64. Sat Jan 21 20:48:04 2023 error -15 reading relation 137192412
  65. Sat Jan 21 20:48:04 2023 error -15 reading relation 137234160
  66. Sat Jan 21 20:48:04 2023 error -5 reading relation 137306418
  67. Sat Jan 21 20:48:06 2023 error -9 reading relation 137822014
  68. Sat Jan 21 20:48:19 2023 error -9 reading relation 141175152
  69. Sat Jan 21 20:48:21 2023 error -15 reading relation 141661446
  70. Sat Jan 21 20:48:21 2023 error -15 reading relation 141670404
  71. Sat Jan 21 20:48:21 2023 error -9 reading relation 141701258
  72. Sat Jan 21 20:48:23 2023 skipped 23 relations with composite factors
  73. Sat Jan 21 20:48:23 2023 found 31592482 hash collisions in 142257846 relations
  74. Sat Jan 21 20:48:48 2023 commencing duplicate removal, pass 2
  75. Sat Jan 21 20:51:21 2023 found 31873149 duplicates and 110384697 unique relations
  76. Sat Jan 21 20:51:21 2023 memory use: 724.8 MB
  77. Sat Jan 21 20:51:21 2023 reading ideals above 119865344
  78. Sat Jan 21 20:51:21 2023 commencing singleton removal, initial pass
  79. Sat Jan 21 20:58:09 2023 memory use: 1506.0 MB
  80. Sat Jan 21 20:58:09 2023 reading all ideals from disk
  81. Sat Jan 21 20:58:10 2023 memory use: 2564.4 MB
  82. Sat Jan 21 20:58:14 2023 commencing in-memory singleton removal
  83. Sat Jan 21 20:58:18 2023 begin with 110384697 relations and 79968947 unique ideals
  84. Sat Jan 21 20:58:30 2023 reduce to 79750224 relations and 46797981 ideals in 12 passes
  85. Sat Jan 21 20:58:30 2023 max relations containing the same ideal: 36
  86. Sat Jan 21 20:58:33 2023 reading ideals above 720000
  87. Sat Jan 21 20:58:33 2023 commencing singleton removal, initial pass
  88. Sat Jan 21 21:05:48 2023 memory use: 1506.0 MB
  89. Sat Jan 21 21:05:48 2023 reading all ideals from disk
  90. Sat Jan 21 21:05:50 2023 memory use: 3609.9 MB
  91. Sat Jan 21 21:05:59 2023 keeping 60032846 ideals with weight <= 200, target excess is 424827
  92. Sat Jan 21 21:06:08 2023 commencing in-memory singleton removal
  93. Sat Jan 21 21:06:15 2023 begin with 79750224 relations and 60032846 unique ideals
  94. Sat Jan 21 21:06:30 2023 reduce to 79685972 relations and 59968584 ideals in 8 passes
  95. Sat Jan 21 21:06:30 2023 max relations containing the same ideal: 200
  96. Sat Jan 21 21:06:59 2023 removing 8037630 relations and 6037630 ideals in 2000000 cliques
  97. Sat Jan 21 21:07:02 2023 commencing in-memory singleton removal
  98. Sat Jan 21 21:07:08 2023 begin with 71648342 relations and 59968584 unique ideals
  99. Sat Jan 21 21:07:20 2023 reduce to 71025768 relations and 53289396 ideals in 8 passes
  100. Sat Jan 21 21:07:20 2023 max relations containing the same ideal: 194
  101. Sat Jan 21 21:07:46 2023 removing 6386233 relations and 4386233 ideals in 2000000 cliques
  102. Sat Jan 21 21:07:50 2023 commencing in-memory singleton removal
  103. Sat Jan 21 21:07:56 2023 begin with 64639535 relations and 53289396 unique ideals
  104. Sat Jan 21 21:08:07 2023 reduce to 64209280 relations and 48461036 ideals in 7 passes
  105. Sat Jan 21 21:08:07 2023 max relations containing the same ideal: 187
  106. Sat Jan 21 21:08:30 2023 removing 5947672 relations and 3947672 ideals in 2000000 cliques
  107. Sat Jan 21 21:08:33 2023 commencing in-memory singleton removal
  108. Sat Jan 21 21:08:39 2023 begin with 58261608 relations and 48461036 unique ideals
  109. Sat Jan 21 21:08:50 2023 reduce to 57880736 relations and 44121583 ideals in 8 passes
  110. Sat Jan 21 21:08:50 2023 max relations containing the same ideal: 173
  111. Sat Jan 21 21:09:11 2023 removing 5720550 relations and 3720550 ideals in 2000000 cliques
  112. Sat Jan 21 21:09:14 2023 commencing in-memory singleton removal
  113. Sat Jan 21 21:09:19 2023 begin with 52160186 relations and 44121583 unique ideals
  114. Sat Jan 21 21:09:27 2023 reduce to 51794286 relations and 40024141 ideals in 6 passes
  115. Sat Jan 21 21:09:27 2023 max relations containing the same ideal: 162
  116. Sat Jan 21 21:09:46 2023 removing 5578355 relations and 3578355 ideals in 2000000 cliques
  117. Sat Jan 21 21:09:48 2023 commencing in-memory singleton removal
  118. Sat Jan 21 21:09:53 2023 begin with 46215931 relations and 40024141 unique ideals
  119. Sat Jan 21 21:10:00 2023 reduce to 45850212 relations and 36068011 ideals in 7 passes
  120. Sat Jan 21 21:10:00 2023 max relations containing the same ideal: 149
  121. Sat Jan 21 21:10:18 2023 removing 5481894 relations and 3481894 ideals in 2000000 cliques
  122. Sat Jan 21 21:10:20 2023 commencing in-memory singleton removal
  123. Sat Jan 21 21:10:23 2023 begin with 40368318 relations and 36068011 unique ideals
  124. Sat Jan 21 21:10:29 2023 reduce to 39989982 relations and 32194037 ideals in 7 passes
  125. Sat Jan 21 21:10:29 2023 max relations containing the same ideal: 135
  126. Sat Jan 21 21:10:44 2023 removing 5411909 relations and 3411909 ideals in 2000000 cliques
  127. Sat Jan 21 21:10:46 2023 commencing in-memory singleton removal
  128. Sat Jan 21 21:10:48 2023 begin with 34578073 relations and 32194037 unique ideals
  129. Sat Jan 21 21:10:54 2023 reduce to 34172310 relations and 28359822 ideals in 7 passes
  130. Sat Jan 21 21:10:54 2023 max relations containing the same ideal: 125
  131. Sat Jan 21 21:11:06 2023 removing 5359577 relations and 3359577 ideals in 2000000 cliques
  132. Sat Jan 21 21:11:09 2023 commencing in-memory singleton removal
  133. Sat Jan 21 21:11:11 2023 begin with 28812733 relations and 28359822 unique ideals
  134. Sat Jan 21 21:11:17 2023 reduce to 28357041 relations and 24522892 ideals in 8 passes
  135. Sat Jan 21 21:11:17 2023 max relations containing the same ideal: 106
  136. Sat Jan 21 21:11:27 2023 removing 5323040 relations and 3323040 ideals in 2000000 cliques
  137. Sat Jan 21 21:11:29 2023 commencing in-memory singleton removal
  138. Sat Jan 21 21:11:31 2023 begin with 23034001 relations and 24522892 unique ideals
  139. Sat Jan 21 21:11:35 2023 reduce to 22488220 relations and 20622630 ideals in 7 passes
  140. Sat Jan 21 21:11:35 2023 max relations containing the same ideal: 94
  141. Sat Jan 21 21:11:44 2023 removing 3871001 relations and 2498211 ideals in 1372790 cliques
  142. Sat Jan 21 21:11:45 2023 commencing in-memory singleton removal
  143. Sat Jan 21 21:11:47 2023 begin with 18617219 relations and 20622630 unique ideals
  144. Sat Jan 21 21:11:50 2023 reduce to 18182468 relations and 17666672 ideals in 8 passes
  145. Sat Jan 21 21:11:50 2023 max relations containing the same ideal: 82
  146. Sat Jan 21 21:11:58 2023 removing 130166 relations and 107170 ideals in 22996 cliques
  147. Sat Jan 21 21:11:59 2023 commencing in-memory singleton removal
  148. Sat Jan 21 21:12:00 2023 begin with 18052302 relations and 17666672 unique ideals
  149. Sat Jan 21 21:12:02 2023 reduce to 18051612 relations and 17558811 ideals in 5 passes
  150. Sat Jan 21 21:12:02 2023 max relations containing the same ideal: 82
  151. Sat Jan 21 21:12:05 2023 relations with 0 large ideals: 1484
  152. Sat Jan 21 21:12:05 2023 relations with 1 large ideals: 6053
  153. Sat Jan 21 21:12:05 2023 relations with 2 large ideals: 89016
  154. Sat Jan 21 21:12:05 2023 relations with 3 large ideals: 573566
  155. Sat Jan 21 21:12:05 2023 relations with 4 large ideals: 1954209
  156. Sat Jan 21 21:12:05 2023 relations with 5 large ideals: 3930764
  157. Sat Jan 21 21:12:05 2023 relations with 6 large ideals: 4953207
  158. Sat Jan 21 21:12:05 2023 relations with 7+ large ideals: 6543313
  159. Sat Jan 21 21:12:05 2023 commencing 2-way merge
  160. Sat Jan 21 21:12:15 2023 reduce to 12566468 relation sets and 12073667 unique ideals
  161. Sat Jan 21 21:12:15 2023 commencing full merge
  162. Sat Jan 21 21:16:47 2023 memory use: 1507.4 MB
  163. Sat Jan 21 21:16:48 2023 found 5469716 cycles, need 5453867
  164. Sat Jan 21 21:16:50 2023 weight of 5453867 cycles is about 709321825 (130.06/cycle)
  165. Sat Jan 21 21:16:50 2023 distribution of cycle lengths:
  166. Sat Jan 21 21:16:50 2023 1 relations: 101215
  167. Sat Jan 21 21:16:50 2023 2 relations: 250779
  168. Sat Jan 21 21:16:50 2023 3 relations: 338837
  169. Sat Jan 21 21:16:50 2023 4 relations: 379010
  170. Sat Jan 21 21:16:50 2023 5 relations: 413899
  171. Sat Jan 21 21:16:50 2023 6 relations: 422562
  172. Sat Jan 21 21:16:50 2023 7 relations: 422343
  173. Sat Jan 21 21:16:50 2023 8 relations: 407791
  174. Sat Jan 21 21:16:50 2023 9 relations: 383054
  175. Sat Jan 21 21:16:50 2023 10+ relations: 2334377
  176. Sat Jan 21 21:16:50 2023 heaviest cycle: 28 relations
  177. Sat Jan 21 21:16:52 2023 commencing cycle optimization
  178. Sat Jan 21 21:17:03 2023 start with 51183436 relations
  179. Sat Jan 21 21:19:09 2023 pruned 2969649 relations
  180. Sat Jan 21 21:19:09 2023 memory use: 1277.8 MB
  181. Sat Jan 21 21:19:09 2023 distribution of cycle lengths:
  182. Sat Jan 21 21:19:09 2023 1 relations: 101215
  183. Sat Jan 21 21:19:09 2023 2 relations: 259403
  184. Sat Jan 21 21:19:09 2023 3 relations: 356660
  185. Sat Jan 21 21:19:09 2023 4 relations: 400531
  186. Sat Jan 21 21:19:09 2023 5 relations: 441558
  187. Sat Jan 21 21:19:09 2023 6 relations: 451207
  188. Sat Jan 21 21:19:09 2023 7 relations: 453350
  189. Sat Jan 21 21:19:09 2023 8 relations: 434577
  190. Sat Jan 21 21:19:09 2023 9 relations: 407032
  191. Sat Jan 21 21:19:09 2023 10+ relations: 2148334
  192. Sat Jan 21 21:19:09 2023 heaviest cycle: 28 relations
  193. Sat Jan 21 21:19:21 2023 RelProcTime: 2391
  194. Sat Jan 21 21:19:21 2023 elapsed time 00:39:52
  195. Sat Jan 21 21:38:56 2023
  196. Sat Jan 21 21:38:56 2023
  197. Sat Jan 21 21:38:56 2023 Msieve v. 1.54 (SVN unknown)
  198. Sat Jan 21 21:38:56 2023 random seeds: 83d3fdfd afe85ae2
  199. Sat Jan 21 21:38:56 2023 factoring 57355549367268641264513085376500545553810491270788864648363221547874277448525714985269043112065419080850602798303653540251828425636819790519695421489775839193301557 (164 digits)
  200. Sat Jan 21 21:38:57 2023 searching for 15-digit factors
  201. Sat Jan 21 21:38:57 2023 commencing number field sieve (164-digit input)
  202. Sat Jan 21 21:38:57 2023 R0: -53974505724646429463083029679193
  203. Sat Jan 21 21:38:57 2023 R1: 13711108548803531
  204. Sat Jan 21 21:38:57 2023 A0: 12039559758933796799000021156865917209200
  205. Sat Jan 21 21:38:57 2023 A1: 16162147875421718480823795302980350
  206. Sat Jan 21 21:38:57 2023 A2: 1968938372277627071006296205
  207. Sat Jan 21 21:38:57 2023 A3: -141574517523411145360
  208. Sat Jan 21 21:38:57 2023 A4: -4804324810152
  209. Sat Jan 21 21:38:57 2023 A5: 125208
  210. Sat Jan 21 21:38:57 2023 skew 17840250.17, size 5.953e-16, alpha -7.774, combined = 8.330e-13 rroots = 5
  211. Sat Jan 21 21:38:57 2023
  212. Sat Jan 21 21:38:57 2023 commencing linear algebra
  213. Sat Jan 21 21:38:57 2023 using VBITS=256
  214. Sat Jan 21 21:38:58 2023 read 5453867 cycles
  215. Sat Jan 21 21:39:11 2023 cycles contain 17826507 unique relations
  216. Sat Jan 21 21:41:14 2023 read 17826507 relations
  217. Sat Jan 21 21:41:18 2023 using 20 quadratic characters above 4294917295
  218. Sat Jan 21 21:41:31 2023 building initial matrix
  219. Sat Jan 21 21:45:45 2023 memory use: 2533.9 MB
  220. Sat Jan 21 21:45:49 2023 read 5453867 cycles
  221. Sat Jan 21 21:45:50 2023 matrix is 5453688 x 5453867 (2731.4 MB) with weight 837858577 (153.63/col)
  222. Sat Jan 21 21:45:50 2023 sparse part has weight 650561767 (119.28/col)
  223. Sat Jan 21 21:46:58 2023 filtering completed in 2 passes
  224. Sat Jan 21 21:46:59 2023 matrix is 5453644 x 5453823 (2731.3 MB) with weight 837855859 (153.63/col)
  225. Sat Jan 21 21:46:59 2023 sparse part has weight 650560557 (119.29/col)
  226. Sat Jan 21 21:47:30 2023 matrix starts at (0, 0)
  227. Sat Jan 21 21:47:31 2023 matrix is 5453644 x 5453823 (2731.3 MB) with weight 837855859 (153.63/col)
  228. Sat Jan 21 21:47:31 2023 sparse part has weight 650560557 (119.29/col)
  229. Sat Jan 21 21:47:31 2023 saving the first 240 matrix rows for later
  230. Sat Jan 21 21:47:33 2023 matrix includes 256 packed rows
  231. Sat Jan 21 21:47:35 2023 matrix is 5453404 x 5453823 (2444.6 MB) with weight 594754607 (109.05/col)
  232. Sat Jan 21 21:47:35 2023 sparse part has weight 553586399 (101.50/col)
  233. Sat Jan 21 21:47:35 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  234. Sat Jan 21 21:47:48 2023 commencing Lanczos iteration (8 threads)
  235. Sat Jan 21 21:47:48 2023 memory use: 3284.6 MB
  236. Sat Jan 21 21:52:05 2023 linear algebra at 0.6%, ETA 12h32m
  237. Sat Jan 21 21:58:29 2023 checking every 10000 dimensions, checkpointing every 440000 dimensions
  238. Sun Jan 22 10:07:50 2023 lanczos halted after 21368 iterations (dim = 5453404)
  239. Sun Jan 22 10:08:10 2023 recovered 31 nontrivial dependencies
  240. Sun Jan 22 10:08:10 2023 BLanczosTime: 44953
  241. Sun Jan 22 10:08:10 2023
  242. Sun Jan 22 10:08:10 2023 commencing square root phase
  243. Sun Jan 22 10:08:10 2023 reading relations for dependency 1
  244. Sun Jan 22 10:08:11 2023 read 2726596 cycles
  245. Sun Jan 22 10:08:17 2023 cycles contain 8915262 unique relations
  246. Sun Jan 22 10:10:12 2023 read 8915262 relations
  247. Sun Jan 22 10:10:50 2023 multiplying 8915262 relations
  248. Sun Jan 22 10:14:50 2023 multiply complete, coefficients have about 484.29 million bits
  249. Sun Jan 22 10:14:52 2023 initial square root is modulo 489414361
  250. Sun Jan 22 10:19:24 2023 GCD is 1, no factor found
  251. Sun Jan 22 10:19:24 2023 reading relations for dependency 2
  252. Sun Jan 22 10:19:25 2023 read 2727992 cycles
  253. Sun Jan 22 10:19:30 2023 cycles contain 8913616 unique relations
  254. Sun Jan 22 10:21:43 2023 read 8913616 relations
  255. Sun Jan 22 10:22:21 2023 multiplying 8913616 relations
  256. Sun Jan 22 10:28:42 2023 multiply complete, coefficients have about 484.19 million bits
  257. Sun Jan 22 10:28:44 2023 initial square root is modulo 487512959
  258. Sun Jan 22 10:33:10 2023 GCD is N, no factor found
  259. Sun Jan 22 10:33:10 2023 reading relations for dependency 3
  260. Sun Jan 22 10:33:11 2023 read 2726739 cycles
  261. Sun Jan 22 10:33:18 2023 cycles contain 8913804 unique relations
  262. Sun Jan 22 10:35:32 2023 read 8913804 relations
  263. Sun Jan 22 10:36:14 2023 multiplying 8913804 relations
  264. Sun Jan 22 10:42:35 2023 multiply complete, coefficients have about 484.21 million bits
  265. Sun Jan 22 10:42:37 2023 initial square root is modulo 487741649
  266. Sun Jan 22 10:47:04 2023 GCD is N, no factor found
  267. Sun Jan 22 10:47:04 2023 reading relations for dependency 4
  268. Sun Jan 22 10:47:05 2023 read 2726370 cycles
  269. Sun Jan 22 10:47:10 2023 cycles contain 8911360 unique relations
  270. Sun Jan 22 10:49:21 2023 read 8911360 relations
  271. Sun Jan 22 10:50:01 2023 multiplying 8911360 relations
  272. Sun Jan 22 10:56:15 2023 multiply complete, coefficients have about 484.07 million bits
  273. Sun Jan 22 10:56:16 2023 initial square root is modulo 484990393
  274. Sun Jan 22 11:00:35 2023 sqrtTime: 3145
  275. Sun Jan 22 11:00:35 2023 p78 factor: 120893078226375561544655622892119991256379813832859914986813894806803660790521
  276. Sun Jan 22 11:00:35 2023 p87 factor: 474432037042425393985412294300979445054532965356662375902761927480803291812694762738717
  277. Sun Jan 22 11:00:35 2023 elapsed time 13:21:39
  278.  
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