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  1. Tue Aug  2 11:57:15 2016  
  2. Tue Aug  2 11:57:15 2016  
  3. Tue Aug  2 11:57:15 2016  Msieve v. 1.53 (SVN 988M)
  4. Tue Aug  2 11:57:15 2016  random seeds: e5e2634b fc8cc531
  5. Tue Aug  2 11:57:15 2016  factoring 72068407946542351500110145115909586243988782031560764826334358011583518752740777248135007248358543782999115043992391247075861150518575231173567962529976421040667152104494395612103648615658044571436592607 (203 digits)
  6. Tue Aug  2 11:57:16 2016  searching for 15-digit factors
  7. Tue Aug  2 11:57:17 2016  commencing number field sieve (203-digit input)
  8. Tue Aug  2 11:57:17 2016  R0: 5243338316756303634461458718861951455543
  9. Tue Aug  2 11:57:17 2016  R1: -3742042951225759540014535187298779136
  10. Tue Aug  2 11:57:17 2016  A0: 7
  11. Tue Aug  2 11:57:17 2016  A1: 0
  12. Tue Aug  2 11:57:17 2016  A2: 0
  13. Tue Aug  2 11:57:17 2016  A3: 0
  14. Tue Aug  2 11:57:17 2016  A4: 0
  15. Tue Aug  2 11:57:17 2016  A5: 0
  16. Tue Aug  2 11:57:17 2016  A6: 6
  17. Tue Aug  2 11:57:17 2016  skew 1.03, size 1.134e-11, alpha -0.278, combined = 6.947e-13 rroots = 0
  18. Tue Aug  2 11:57:17 2016  
  19. Tue Aug  2 11:57:17 2016  commencing relation filtering
  20. Tue Aug  2 11:57:17 2016  setting target matrix density to 130.0
  21. Tue Aug  2 11:57:17 2016  estimated available RAM is 16384.0 MB
  22. Tue Aug  2 11:57:17 2016  commencing duplicate removal, pass 1
  23. Tue Aug  2 12:25:07 2016  error -15 reading relation 241127475
  24. Tue Aug  2 12:27:41 2016  error -9 reading relation 263443360
  25. Tue Aug  2 12:27:46 2016  skipped 48 relations with b > 2^32
  26. Tue Aug  2 12:27:46 2016  skipped 4 relations with composite factors
  27. Tue Aug  2 12:27:46 2016  found 47129573 hash collisions in 264144352 relations
  28. Tue Aug  2 12:27:59 2016  added 1218654 free relations
  29. Tue Aug  2 12:27:59 2016  commencing duplicate removal, pass 2
  30. Tue Aug  2 12:31:40 2016  found 43192344 duplicates and 222170662 unique relations
  31. Tue Aug  2 12:31:40 2016  memory use: 1321.5 MB
  32. Tue Aug  2 12:31:40 2016  reading ideals above 122617856
  33. Tue Aug  2 12:31:40 2016  commencing singleton removal, initial pass
  34. Tue Aug  2 12:51:32 2016  memory use: 5512.0 MB
  35. Tue Aug  2 12:51:33 2016  reading all ideals from disk
  36. Tue Aug  2 12:51:43 2016  memory use: 3826.2 MB
  37. Tue Aug  2 12:51:51 2016  commencing in-memory singleton removal
  38. Tue Aug  2 12:51:59 2016  begin with 222170662 relations and 166432555 unique ideals
  39. Tue Aug  2 12:53:16 2016  reduce to 162135678 relations and 101482223 ideals in 11 passes
  40. Tue Aug  2 12:53:16 2016  max relations containing the same ideal: 35
  41. Tue Aug  2 12:53:28 2016  reading ideals above 720000
  42. Tue Aug  2 12:53:28 2016  commencing singleton removal, initial pass
  43. Tue Aug  2 13:12:13 2016  memory use: 3012.0 MB
  44. Tue Aug  2 13:12:13 2016  reading all ideals from disk
  45. Tue Aug  2 13:12:29 2016  memory use: 6236.0 MB
  46. Tue Aug  2 13:12:46 2016  keeping 114628267 ideals with weight <= 200, target excess is 814716
  47. Tue Aug  2 13:12:59 2016  commencing in-memory singleton removal
  48. Tue Aug  2 13:13:11 2016  begin with 162135678 relations and 114628267 unique ideals
  49. Tue Aug  2 13:14:15 2016  reduce to 162135528 relations and 114628117 ideals in 6 passes
  50. Tue Aug  2 13:14:15 2016  max relations containing the same ideal: 200
  51. Tue Aug  2 13:15:06 2016  removing 9154321 relations and 7154321 ideals in 2000000 cliques
  52. Tue Aug  2 13:15:10 2016  commencing in-memory singleton removal
  53. Tue Aug  2 13:15:22 2016  begin with 152981207 relations and 114628117 unique ideals
  54. Tue Aug  2 13:16:32 2016  reduce to 152583038 relations and 107069159 ideals in 7 passes
  55. Tue Aug  2 13:16:32 2016  max relations containing the same ideal: 198
  56. Tue Aug  2 13:17:20 2016  removing 7031238 relations and 5031238 ideals in 2000000 cliques
  57. Tue Aug  2 13:17:23 2016  commencing in-memory singleton removal
  58. Tue Aug  2 13:17:34 2016  begin with 145551800 relations and 107069159 unique ideals
  59. Tue Aug  2 13:18:31 2016  reduce to 145282952 relations and 101765324 ideals in 6 passes
  60. Tue Aug  2 13:18:31 2016  max relations containing the same ideal: 195
  61. Tue Aug  2 13:19:18 2016  removing 6435124 relations and 4435124 ideals in 2000000 cliques
  62. Tue Aug  2 13:19:21 2016  commencing in-memory singleton removal
  63. Tue Aug  2 13:19:32 2016  begin with 138847828 relations and 101765324 unique ideals
  64. Tue Aug  2 13:20:25 2016  reduce to 138619088 relations and 97098282 ideals in 6 passes
  65. Tue Aug  2 13:20:25 2016  max relations containing the same ideal: 190
  66. Tue Aug  2 13:21:10 2016  removing 6122398 relations and 4122398 ideals in 2000000 cliques
  67. Tue Aug  2 13:21:12 2016  commencing in-memory singleton removal
  68. Tue Aug  2 13:21:22 2016  begin with 132496690 relations and 97098282 unique ideals
  69. Tue Aug  2 13:22:13 2016  reduce to 132288079 relations and 92764345 ideals in 6 passes
  70. Tue Aug  2 13:22:13 2016  max relations containing the same ideal: 186
  71. Tue Aug  2 13:22:55 2016  removing 5921946 relations and 3921946 ideals in 2000000 cliques
  72. Tue Aug  2 13:22:58 2016  commencing in-memory singleton removal
  73. Tue Aug  2 13:23:07 2016  begin with 126366133 relations and 92764345 unique ideals
  74. Tue Aug  2 13:24:03 2016  reduce to 126171300 relations and 88644792 ideals in 7 passes
  75. Tue Aug  2 13:24:03 2016  max relations containing the same ideal: 181
  76. Tue Aug  2 13:24:43 2016  removing 5773700 relations and 3773700 ideals in 2000000 cliques
  77. Tue Aug  2 13:24:46 2016  commencing in-memory singleton removal
  78. Tue Aug  2 13:24:54 2016  begin with 120397600 relations and 88644792 unique ideals
  79. Tue Aug  2 13:25:40 2016  reduce to 120210531 relations and 84681142 ideals in 6 passes
  80. Tue Aug  2 13:25:40 2016  max relations containing the same ideal: 174
  81. Tue Aug  2 13:26:18 2016  removing 5663239 relations and 3663239 ideals in 2000000 cliques
  82. Tue Aug  2 13:26:20 2016  commencing in-memory singleton removal
  83. Tue Aug  2 13:26:28 2016  begin with 114547292 relations and 84681142 unique ideals
  84. Tue Aug  2 13:27:12 2016  reduce to 114363813 relations and 80831647 ideals in 6 passes
  85. Tue Aug  2 13:27:12 2016  max relations containing the same ideal: 169
  86. Tue Aug  2 13:27:48 2016  removing 5573189 relations and 3573189 ideals in 2000000 cliques
  87. Tue Aug  2 13:27:50 2016  commencing in-memory singleton removal
  88. Tue Aug  2 13:27:58 2016  begin with 108790624 relations and 80831647 unique ideals
  89. Tue Aug  2 13:28:38 2016  reduce to 108609257 relations and 77074014 ideals in 6 passes
  90. Tue Aug  2 13:28:38 2016  max relations containing the same ideal: 165
  91. Tue Aug  2 13:29:13 2016  removing 5503817 relations and 3503817 ideals in 2000000 cliques
  92. Tue Aug  2 13:29:15 2016  commencing in-memory singleton removal
  93. Tue Aug  2 13:29:22 2016  begin with 103105440 relations and 77074014 unique ideals
  94. Tue Aug  2 13:30:01 2016  reduce to 102923732 relations and 73385247 ideals in 6 passes
  95. Tue Aug  2 13:30:01 2016  max relations containing the same ideal: 161
  96. Tue Aug  2 13:30:33 2016  removing 5448516 relations and 3448516 ideals in 2000000 cliques
  97. Tue Aug  2 13:30:36 2016  commencing in-memory singleton removal
  98. Tue Aug  2 13:30:42 2016  begin with 97475216 relations and 73385247 unique ideals
  99. Tue Aug  2 13:31:18 2016  reduce to 97292809 relations and 69750899 ideals in 6 passes
  100. Tue Aug  2 13:31:18 2016  max relations containing the same ideal: 154
  101. Tue Aug  2 13:31:49 2016  removing 5401896 relations and 3401896 ideals in 2000000 cliques
  102. Tue Aug  2 13:31:51 2016  commencing in-memory singleton removal
  103. Tue Aug  2 13:31:57 2016  begin with 91890913 relations and 69750899 unique ideals
  104. Tue Aug  2 13:32:30 2016  reduce to 91704730 relations and 66159272 ideals in 6 passes
  105. Tue Aug  2 13:32:30 2016  max relations containing the same ideal: 147
  106. Tue Aug  2 13:33:00 2016  removing 5366398 relations and 3366398 ideals in 2000000 cliques
  107. Tue Aug  2 13:33:02 2016  commencing in-memory singleton removal
  108. Tue Aug  2 13:33:07 2016  begin with 86338332 relations and 66159272 unique ideals
  109. Tue Aug  2 13:33:38 2016  reduce to 86148139 relations and 62598859 ideals in 6 passes
  110. Tue Aug  2 13:33:38 2016  max relations containing the same ideal: 140
  111. Tue Aug  2 13:34:06 2016  removing 5333172 relations and 3333172 ideals in 2000000 cliques
  112. Tue Aug  2 13:34:08 2016  commencing in-memory singleton removal
  113. Tue Aug  2 13:34:13 2016  begin with 80814967 relations and 62598859 unique ideals
  114. Tue Aug  2 13:34:41 2016  reduce to 80619499 relations and 59066015 ideals in 6 passes
  115. Tue Aug  2 13:34:41 2016  max relations containing the same ideal: 135
  116. Tue Aug  2 13:35:07 2016  removing 5310123 relations and 3310123 ideals in 2000000 cliques
  117. Tue Aug  2 13:35:09 2016  commencing in-memory singleton removal
  118. Tue Aug  2 13:35:14 2016  begin with 75309376 relations and 59066015 unique ideals
  119. Tue Aug  2 13:35:40 2016  reduce to 75105095 relations and 55547036 ideals in 6 passes
  120. Tue Aug  2 13:35:40 2016  max relations containing the same ideal: 130
  121. Tue Aug  2 13:36:04 2016  removing 5292195 relations and 3292195 ideals in 2000000 cliques
  122. Tue Aug  2 13:36:06 2016  commencing in-memory singleton removal
  123. Tue Aug  2 13:36:10 2016  begin with 69812900 relations and 55547036 unique ideals
  124. Tue Aug  2 13:36:34 2016  reduce to 69598698 relations and 52035474 ideals in 6 passes
  125. Tue Aug  2 13:36:34 2016  max relations containing the same ideal: 126
  126. Tue Aug  2 13:36:56 2016  removing 5282944 relations and 3282944 ideals in 2000000 cliques
  127. Tue Aug  2 13:36:57 2016  commencing in-memory singleton removal
  128. Tue Aug  2 13:37:01 2016  begin with 64315754 relations and 52035474 unique ideals
  129. Tue Aug  2 13:37:23 2016  reduce to 64089578 relations and 48520472 ideals in 6 passes
  130. Tue Aug  2 13:37:23 2016  max relations containing the same ideal: 119
  131. Tue Aug  2 13:37:43 2016  removing 5276890 relations and 3276890 ideals in 2000000 cliques
  132. Tue Aug  2 13:37:45 2016  commencing in-memory singleton removal
  133. Tue Aug  2 13:37:48 2016  begin with 58812688 relations and 48520472 unique ideals
  134. Tue Aug  2 13:38:10 2016  reduce to 58570377 relations and 44994660 ideals in 7 passes
  135. Tue Aug  2 13:38:10 2016  max relations containing the same ideal: 115
  136. Tue Aug  2 13:38:29 2016  removing 5273850 relations and 3273850 ideals in 2000000 cliques
  137. Tue Aug  2 13:38:31 2016  commencing in-memory singleton removal
  138. Tue Aug  2 13:38:34 2016  begin with 53296527 relations and 44994660 unique ideals
  139. Tue Aug  2 13:38:50 2016  reduce to 53033557 relations and 41449970 ideals in 6 passes
  140. Tue Aug  2 13:38:50 2016  max relations containing the same ideal: 108
  141. Tue Aug  2 13:39:07 2016  removing 5280673 relations and 3280673 ideals in 2000000 cliques
  142. Tue Aug  2 13:39:09 2016  commencing in-memory singleton removal
  143. Tue Aug  2 13:39:12 2016  begin with 47752884 relations and 41449970 unique ideals
  144. Tue Aug  2 13:39:26 2016  reduce to 47465101 relations and 37872288 ideals in 6 passes
  145. Tue Aug  2 13:39:26 2016  max relations containing the same ideal: 95
  146. Tue Aug  2 13:39:41 2016  removing 5295352 relations and 3295352 ideals in 2000000 cliques
  147. Tue Aug  2 13:39:42 2016  commencing in-memory singleton removal
  148. Tue Aug  2 13:39:44 2016  begin with 42169749 relations and 37872288 unique ideals
  149. Tue Aug  2 13:39:57 2016  reduce to 41847948 relations and 34243953 ideals in 6 passes
  150. Tue Aug  2 13:39:57 2016  max relations containing the same ideal: 89
  151. Tue Aug  2 13:40:09 2016  removing 5316241 relations and 3316241 ideals in 2000000 cliques
  152. Tue Aug  2 13:40:11 2016  commencing in-memory singleton removal
  153. Tue Aug  2 13:40:13 2016  begin with 36531707 relations and 34243953 unique ideals
  154. Tue Aug  2 13:40:23 2016  reduce to 36163709 relations and 30545204 ideals in 6 passes
  155. Tue Aug  2 13:40:23 2016  max relations containing the same ideal: 78
  156. Tue Aug  2 13:40:34 2016  removing 5347674 relations and 3347674 ideals in 2000000 cliques
  157. Tue Aug  2 13:40:35 2016  commencing in-memory singleton removal
  158. Tue Aug  2 13:40:36 2016  begin with 30816035 relations and 30545204 unique ideals
  159. Tue Aug  2 13:40:45 2016  reduce to 30377324 relations and 26739124 ideals in 6 passes
  160. Tue Aug  2 13:40:45 2016  max relations containing the same ideal: 70
  161. Tue Aug  2 13:40:54 2016  removing 5399382 relations and 3399382 ideals in 2000000 cliques
  162. Tue Aug  2 13:40:55 2016  commencing in-memory singleton removal
  163. Tue Aug  2 13:40:56 2016  begin with 24977942 relations and 26739124 unique ideals
  164. Tue Aug  2 13:41:03 2016  reduce to 24420326 relations and 22751638 ideals in 7 passes
  165. Tue Aug  2 13:41:03 2016  max relations containing the same ideal: 60
  166. Tue Aug  2 13:41:10 2016  removing 2336754 relations and 1613137 ideals in 723617 cliques
  167. Tue Aug  2 13:41:11 2016  commencing in-memory singleton removal
  168. Tue Aug  2 13:41:12 2016  begin with 22083572 relations and 22751638 unique ideals
  169. Tue Aug  2 13:41:18 2016  reduce to 21894121 relations and 20943844 ideals in 7 passes
  170. Tue Aug  2 13:41:18 2016  max relations containing the same ideal: 56
  171. Tue Aug  2 13:41:27 2016  relations with 0 large ideals: 31215
  172. Tue Aug  2 13:41:27 2016  relations with 1 large ideals: 23719
  173. Tue Aug  2 13:41:27 2016  relations with 2 large ideals: 284661
  174. Tue Aug  2 13:41:27 2016  relations with 3 large ideals: 1440352
  175. Tue Aug  2 13:41:27 2016  relations with 4 large ideals: 3789598
  176. Tue Aug  2 13:41:27 2016  relations with 5 large ideals: 5812369
  177. Tue Aug  2 13:41:27 2016  relations with 6 large ideals: 5466205
  178. Tue Aug  2 13:41:27 2016  relations with 7+ large ideals: 5046002
  179. Tue Aug  2 13:41:27 2016  commencing 2-way merge
  180. Tue Aug  2 13:41:35 2016  reduce to 14982894 relation sets and 14032617 unique ideals
  181. Tue Aug  2 13:41:35 2016  commencing full merge
  182. Tue Aug  2 13:46:35 2016  memory use: 1813.7 MB
  183. Tue Aug  2 13:46:37 2016  found 6531124 cycles, need 6492817
  184. Tue Aug  2 13:46:38 2016  weight of 6492817 cycles is about 844114311 (130.01/cycle)
  185. Tue Aug  2 13:46:38 2016  distribution of cycle lengths:
  186. Tue Aug  2 13:46:38 2016  1 relations: 147160
  187. Tue Aug  2 13:46:38 2016  2 relations: 272742
  188. Tue Aug  2 13:46:38 2016  3 relations: 362333
  189. Tue Aug  2 13:46:38 2016  4 relations: 407781
  190. Tue Aug  2 13:46:38 2016  5 relations: 445547
  191. Tue Aug  2 13:46:38 2016  6 relations: 461043
  192. Tue Aug  2 13:46:38 2016  7 relations: 469572
  193. Tue Aug  2 13:46:38 2016  8 relations: 460554
  194. Tue Aug  2 13:46:38 2016  9 relations: 444491
  195. Tue Aug  2 13:46:38 2016  10+ relations: 3021594
  196. Tue Aug  2 13:46:38 2016  heaviest cycle: 28 relations
  197. Tue Aug  2 13:46:39 2016  commencing cycle optimization
  198. Tue Aug  2 13:46:52 2016  start with 63862982 relations
  199. Tue Aug  2 13:49:31 2016  pruned 3661676 relations
  200. Tue Aug  2 13:49:31 2016  memory use: 1561.2 MB
  201. Tue Aug  2 13:49:31 2016  distribution of cycle lengths:
  202. Tue Aug  2 13:49:31 2016  1 relations: 147160
  203. Tue Aug  2 13:49:31 2016  2 relations: 280398
  204. Tue Aug  2 13:49:31 2016  3 relations: 378820
  205. Tue Aug  2 13:49:31 2016  4 relations: 428301
  206. Tue Aug  2 13:49:31 2016  5 relations: 473694
  207. Tue Aug  2 13:49:31 2016  6 relations: 491660
  208. Tue Aug  2 13:49:31 2016  7 relations: 503483
  209. Tue Aug  2 13:49:31 2016  8 relations: 493875
  210. Tue Aug  2 13:49:31 2016  9 relations: 476519
  211. Tue Aug  2 13:49:31 2016  10+ relations: 2818907
  212. Tue Aug  2 13:49:31 2016  heaviest cycle: 28 relations
  213. Tue Aug  2 13:49:40 2016  RelProcTime: 6743
  214. Tue Aug  2 13:49:40 2016  
  215. Tue Aug  2 13:49:40 2016  commencing linear algebra
  216. Tue Aug  2 13:49:41 2016  read 6492817 cycles
  217. Tue Aug  2 13:49:55 2016  cycles contain 21453829 unique relations
  218. Tue Aug  2 13:53:49 2016  read 21453829 relations
  219. Tue Aug  2 13:54:20 2016  using 20 quadratic characters above 4294917295
  220. Tue Aug  2 13:55:39 2016  building initial matrix
  221. Tue Aug  2 14:00:02 2016  memory use: 2832.1 MB
  222. Tue Aug  2 14:00:13 2016  read 6492817 cycles
  223. Tue Aug  2 14:00:13 2016  matrix is 6492640 x 6492817 (3223.8 MB) with weight 955400293 (147.15/col)
  224. Tue Aug  2 14:00:13 2016  sparse part has weight 773688469 (119.16/col)
  225. Tue Aug  2 14:01:15 2016  filtering completed in 2 passes
  226. Tue Aug  2 14:01:16 2016  matrix is 6492543 x 6492720 (3223.8 MB) with weight 955395797 (147.15/col)
  227. Tue Aug  2 14:01:16 2016  sparse part has weight 773686640 (119.16/col)
  228. Tue Aug  2 14:01:37 2016  matrix starts at (0, 0)
  229. Tue Aug  2 14:01:37 2016  matrix is 6492543 x 6492720 (3223.8 MB) with weight 955395797 (147.15/col)
  230. Tue Aug  2 14:01:37 2016  sparse part has weight 773686640 (119.16/col)
  231. Tue Aug  2 14:01:37 2016  saving the first 48 matrix rows for later
  232. Tue Aug  2 14:01:38 2016  matrix includes 64 packed rows
  233. Tue Aug  2 14:01:39 2016  matrix is 6492495 x 6492720 (3130.3 MB) with weight 824271068 (126.95/col)
  234. Tue Aug  2 14:01:39 2016  sparse part has weight 755661127 (116.39/col)
  235. Tue Aug  2 14:01:39 2016  using block size 8192 and superblock size 12582912 for processor cache size 131072 kB
  236. Tue Aug  2 14:02:14 2016  commencing Lanczos iteration (4 threads)
  237. Tue Aug  2 14:02:14 2016  memory use: 2643.7 MB
  238. Tue Aug  2 14:02:39 2016  linear algebra at 0.0%, ETA 28h32m
  239. Tue Aug  2 14:02:47 2016  checkpointing every 230000 dimensions
  240. Wed Aug  3 17:49:41 2016  lanczos halted after 102670 iterations (dim = 6492495)
  241. Wed Aug  3 17:49:47 2016  recovered 37 nontrivial dependencies
  242. Wed Aug  3 17:49:48 2016  BLanczosTime: 100808
  243. Wed Aug  3 17:49:48 2016  
  244. Wed Aug  3 17:49:48 2016  commencing square root phase
  245. Wed Aug  3 17:49:48 2016  handling dependencies 1 to 64
  246. Wed Aug  3 17:49:48 2016  reading relations for dependency 1
  247. Wed Aug  3 17:49:49 2016  read 3247673 cycles
  248. Wed Aug  3 17:49:55 2016  cycles contain 10727816 unique relations
  249. Wed Aug  3 17:53:05 2016  read 10727816 relations
  250. Wed Aug  3 17:53:45 2016  multiplying 10727816 relations
  251. Wed Aug  3 17:59:52 2016  multiply complete, coefficients have about 292.97 million bits
  252. Wed Aug  3 17:59:53 2016  initial square root is modulo 180751
  253. Wed Aug  3 18:06:05 2016  GCD is 1, no factor found
  254. Wed Aug  3 18:06:05 2016  reading relations for dependency 2
  255. Wed Aug  3 18:06:06 2016  read 3247387 cycles
  256. Wed Aug  3 18:06:12 2016  cycles contain 10729134 unique relations
  257. Wed Aug  3 18:09:23 2016  read 10729134 relations
  258. Wed Aug  3 18:10:01 2016  multiplying 10729134 relations
  259. Wed Aug  3 18:16:09 2016  multiply complete, coefficients have about 293.01 million bits
  260. Wed Aug  3 18:16:10 2016  initial square root is modulo 181081
  261. Wed Aug  3 18:22:23 2016  sqrtTime: 1955
  262. Wed Aug  3 18:22:23 2016  p67 factor: 6651817970093103045810891729078818331915451207483586904237545598061
  263. Wed Aug  3 18:22:23 2016  p137 factor: 10834392683408568461138085983510248375296685042421747793183513786289898474017514904864292410774077114134855242238942420248347099954363387
  264. Wed Aug  3 18:22:23 2016  elapsed time 30:25:08
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