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Msieve log of 6p5_486

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Jun 20th, 2025
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  1. Sat Jun 14 07:21:48 2025
  2. Sat Jun 14 07:21:48 2025
  3. Sat Jun 14 07:21:48 2025 Msieve v. 1.52 (SVN unknown)
  4. Sat Jun 14 07:21:48 2025 random seeds: ca9a228c bcf30d65
  5. Sat Jun 14 07:21:48 2025 factoring 2555270696463551850611976894400114154492064809491829002219715729601023644077372847407502405861234270787984176353909312197456203461294845522177946492625865554981499781966085801762321 (181 digits)
  6. Sat Jun 14 07:21:49 2025 no P-1/P+1/ECM available, skipping
  7. Sat Jun 14 07:21:49 2025 commencing number field sieve (181-digit input)
  8. Sat Jun 14 07:21:49 2025 R0: 1047532535594334222593508922191671036215296
  9. Sat Jun 14 07:21:49 2025 R1: -55511151231257827021181583404541015625
  10. Sat Jun 14 07:21:49 2025 A0: 1
  11. Sat Jun 14 07:21:49 2025 A1: 0
  12. Sat Jun 14 07:21:49 2025 A2: 0
  13. Sat Jun 14 07:21:49 2025 A3: -1
  14. Sat Jun 14 07:21:49 2025 A4: 0
  15. Sat Jun 14 07:21:49 2025 A5: 0
  16. Sat Jun 14 07:21:49 2025 A6: 1
  17. Sat Jun 14 07:21:49 2025 skew 1.00, size 2.240e-012, alpha 1.996, combined = 2.102e-013 rroots = 0
  18. Sat Jun 14 07:21:49 2025
  19. Sat Jun 14 07:21:49 2025 commencing relation filtering
  20. Sat Jun 14 07:21:49 2025 setting target matrix density to 100.0
  21. Sat Jun 14 07:21:49 2025 estimated available RAM is 16289.0 MB
  22. Sat Jun 14 07:21:49 2025 commencing duplicate removal, pass 1
  23. Sat Jun 14 07:21:49 2025 error -1 reading relation 12768
  24. Sat Jun 14 07:21:49 2025 error -1 reading relation 12769
  25. Sat Jun 14 07:21:49 2025 error -1 reading relation 12770
  26. Sat Jun 14 07:21:49 2025 error -1 reading relation 12771
  27. Sat Jun 14 07:21:49 2025 error -1 reading relation 12772
  28. Sat Jun 14 08:02:36 2025 error -1 reading relation 265716930
  29. Sat Jun 14 08:02:36 2025 error -1 reading relation 265716931
  30. Sat Jun 14 08:02:36 2025 error -1 reading relation 265716932
  31. Sat Jun 14 08:02:36 2025 skipped 581 relations with b > 2^32
  32. Sat Jun 14 08:02:36 2025 found 47847512 hash collisions in 265692242 relations
  33. Sat Jun 14 08:02:49 2025 added 2438352 free relations
  34. Sat Jun 14 08:02:49 2025 commencing duplicate removal, pass 2
  35. Sat Jun 14 08:09:42 2025 found 44775598 duplicates and 223354995 unique relations
  36. Sat Jun 14 08:09:42 2025 memory use: 1321.5 MB
  37. Sat Jun 14 08:09:42 2025 reading ideals above 146472960
  38. Sat Jun 14 08:09:42 2025 commencing singleton removal, initial pass
  39. Sat Jun 14 08:47:41 2025 memory use: 3012.0 MB
  40. Sat Jun 14 08:47:42 2025 reading all ideals from disk
  41. Sat Jun 14 08:48:42 2025 memory use: 3979.2 MB
  42. Sat Jun 14 08:48:50 2025 commencing in-memory singleton removal
  43. Sat Jun 14 08:48:58 2025 begin with 223354995 relations and 163552496 unique ideals
  44. Sat Jun 14 08:50:19 2025 reduce to 168854915 relations and 105337262 ideals in 11 passes
  45. Sat Jun 14 08:50:19 2025 max relations containing the same ideal: 83
  46. Sat Jun 14 08:50:31 2025 reading ideals above 720000
  47. Sat Jun 14 08:50:32 2025 commencing singleton removal, initial pass
  48. Sat Jun 14 09:26:03 2025 memory use: 3012.0 MB
  49. Sat Jun 14 09:26:03 2025 reading all ideals from disk
  50. Sat Jun 14 09:26:07 2025 memory use: 6870.4 MB
  51. Sat Jun 14 09:26:25 2025 keeping 120982483 ideals with weight <= 200, target excess is 868699
  52. Sat Jun 14 09:26:45 2025 commencing in-memory singleton removal
  53. Sat Jun 14 09:26:58 2025 begin with 168854915 relations and 120982483 unique ideals
  54. Sat Jun 14 09:27:57 2025 reduce to 168854788 relations and 120982356 ideals in 4 passes
  55. Sat Jun 14 09:27:57 2025 max relations containing the same ideal: 200
  56. Sat Jun 14 09:29:06 2025 removing 8409936 relations and 6409936 ideals in 2000000 cliques
  57. Sat Jun 14 09:29:09 2025 commencing in-memory singleton removal
  58. Sat Jun 14 09:29:22 2025 begin with 160444852 relations and 120982356 unique ideals
  59. Sat Jun 14 09:30:48 2025 reduce to 160114836 relations and 114237456 ideals in 6 passes
  60. Sat Jun 14 09:30:48 2025 max relations containing the same ideal: 199
  61. Sat Jun 14 09:31:52 2025 removing 6616087 relations and 4616087 ideals in 2000000 cliques
  62. Sat Jun 14 09:31:55 2025 commencing in-memory singleton removal
  63. Sat Jun 14 09:32:07 2025 begin with 153498749 relations and 114237456 unique ideals
  64. Sat Jun 14 09:33:42 2025 reduce to 153272494 relations and 109392055 ideals in 7 passes
  65. Sat Jun 14 09:33:42 2025 max relations containing the same ideal: 196
  66. Sat Jun 14 09:34:44 2025 removing 6118413 relations and 4118413 ideals in 2000000 cliques
  67. Sat Jun 14 09:34:47 2025 commencing in-memory singleton removal
  68. Sat Jun 14 09:34:59 2025 begin with 147154081 relations and 109392055 unique ideals
  69. Sat Jun 14 09:36:29 2025 reduce to 146957891 relations and 105074899 ideals in 7 passes
  70. Sat Jun 14 09:36:29 2025 max relations containing the same ideal: 192
  71. Sat Jun 14 09:37:28 2025 removing 5858380 relations and 3858380 ideals in 2000000 cliques
  72. Sat Jun 14 09:37:31 2025 commencing in-memory singleton removal
  73. Sat Jun 14 09:37:42 2025 begin with 141099511 relations and 105074899 unique ideals
  74. Sat Jun 14 09:38:56 2025 reduce to 140920689 relations and 101035282 ideals in 6 passes
  75. Sat Jun 14 09:38:56 2025 max relations containing the same ideal: 189
  76. Sat Jun 14 09:39:52 2025 removing 5692739 relations and 3692739 ideals in 2000000 cliques
  77. Sat Jun 14 09:39:54 2025 commencing in-memory singleton removal
  78. Sat Jun 14 09:40:05 2025 begin with 135227950 relations and 101035282 unique ideals
  79. Sat Jun 14 09:41:15 2025 reduce to 135058735 relations and 97171024 ideals in 6 passes
  80. Sat Jun 14 09:41:15 2025 max relations containing the same ideal: 184
  81. Sat Jun 14 09:42:09 2025 removing 5575411 relations and 3575411 ideals in 2000000 cliques
  82. Sat Jun 14 09:42:12 2025 commencing in-memory singleton removal
  83. Sat Jun 14 09:42:22 2025 begin with 129483324 relations and 97171024 unique ideals
  84. Sat Jun 14 09:43:28 2025 reduce to 129318753 relations and 93428664 ideals in 6 passes
  85. Sat Jun 14 09:43:28 2025 max relations containing the same ideal: 183
  86. Sat Jun 14 09:44:20 2025 removing 5484862 relations and 3484862 ideals in 2000000 cliques
  87. Sat Jun 14 09:44:22 2025 commencing in-memory singleton removal
  88. Sat Jun 14 09:44:32 2025 begin with 123833891 relations and 93428664 unique ideals
  89. Sat Jun 14 09:45:25 2025 reduce to 123671692 relations and 89779168 ideals in 5 passes
  90. Sat Jun 14 09:45:25 2025 max relations containing the same ideal: 177
  91. Sat Jun 14 09:46:15 2025 removing 5419238 relations and 3419238 ideals in 2000000 cliques
  92. Sat Jun 14 09:46:17 2025 commencing in-memory singleton removal
  93. Sat Jun 14 09:46:26 2025 begin with 118252454 relations and 89779168 unique ideals
  94. Sat Jun 14 09:47:26 2025 reduce to 118091676 relations and 86196637 ideals in 6 passes
  95. Sat Jun 14 09:47:26 2025 max relations containing the same ideal: 171
  96. Sat Jun 14 09:48:15 2025 removing 5365060 relations and 3365060 ideals in 2000000 cliques
  97. Sat Jun 14 09:48:17 2025 commencing in-memory singleton removal
  98. Sat Jun 14 09:48:26 2025 begin with 112726616 relations and 86196637 unique ideals
  99. Sat Jun 14 09:49:23 2025 reduce to 112563584 relations and 82665853 ideals in 6 passes
  100. Sat Jun 14 09:49:23 2025 max relations containing the same ideal: 166
  101. Sat Jun 14 09:50:09 2025 removing 5324905 relations and 3324905 ideals in 2000000 cliques
  102. Sat Jun 14 09:50:11 2025 commencing in-memory singleton removal
  103. Sat Jun 14 09:50:19 2025 begin with 107238679 relations and 82665853 unique ideals
  104. Sat Jun 14 09:51:13 2025 reduce to 107072690 relations and 79172146 ideals in 6 passes
  105. Sat Jun 14 09:51:13 2025 max relations containing the same ideal: 162
  106. Sat Jun 14 09:51:56 2025 removing 5295706 relations and 3295706 ideals in 2000000 cliques
  107. Sat Jun 14 09:51:58 2025 commencing in-memory singleton removal
  108. Sat Jun 14 09:52:06 2025 begin with 101776984 relations and 79172146 unique ideals
  109. Sat Jun 14 09:52:57 2025 reduce to 101606855 relations and 75703351 ideals in 6 passes
  110. Sat Jun 14 09:52:57 2025 max relations containing the same ideal: 154
  111. Sat Jun 14 09:53:39 2025 removing 5272458 relations and 3272458 ideals in 2000000 cliques
  112. Sat Jun 14 09:53:41 2025 commencing in-memory singleton removal
  113. Sat Jun 14 09:53:48 2025 begin with 96334397 relations and 75703351 unique ideals
  114. Sat Jun 14 09:54:36 2025 reduce to 96158607 relations and 72251846 ideals in 6 passes
  115. Sat Jun 14 09:54:36 2025 max relations containing the same ideal: 148
  116. Sat Jun 14 09:55:16 2025 removing 5257216 relations and 3257216 ideals in 2000000 cliques
  117. Sat Jun 14 09:55:18 2025 commencing in-memory singleton removal
  118. Sat Jun 14 09:55:25 2025 begin with 90901391 relations and 72251846 unique ideals
  119. Sat Jun 14 09:56:10 2025 reduce to 90717006 relations and 68806690 ideals in 6 passes
  120. Sat Jun 14 09:56:10 2025 max relations containing the same ideal: 143
  121. Sat Jun 14 09:56:48 2025 removing 5248624 relations and 3248624 ideals in 2000000 cliques
  122. Sat Jun 14 09:56:49 2025 commencing in-memory singleton removal
  123. Sat Jun 14 09:56:56 2025 begin with 85468382 relations and 68806690 unique ideals
  124. Sat Jun 14 09:57:38 2025 reduce to 85275730 relations and 65361498 ideals in 6 passes
  125. Sat Jun 14 09:57:38 2025 max relations containing the same ideal: 140
  126. Sat Jun 14 09:58:13 2025 removing 5250762 relations and 3250762 ideals in 2000000 cliques
  127. Sat Jun 14 09:58:15 2025 commencing in-memory singleton removal
  128. Sat Jun 14 09:58:21 2025 begin with 80024968 relations and 65361498 unique ideals
  129. Sat Jun 14 09:59:01 2025 reduce to 79820958 relations and 61902393 ideals in 6 passes
  130. Sat Jun 14 09:59:01 2025 max relations containing the same ideal: 133
  131. Sat Jun 14 09:59:34 2025 removing 5259742 relations and 3259742 ideals in 2000000 cliques
  132. Sat Jun 14 09:59:35 2025 commencing in-memory singleton removal
  133. Sat Jun 14 09:59:41 2025 begin with 74561216 relations and 61902393 unique ideals
  134. Sat Jun 14 10:00:17 2025 reduce to 74341766 relations and 58418359 ideals in 6 passes
  135. Sat Jun 14 10:00:17 2025 max relations containing the same ideal: 131
  136. Sat Jun 14 10:00:48 2025 removing 5274777 relations and 3274777 ideals in 2000000 cliques
  137. Sat Jun 14 10:00:50 2025 commencing in-memory singleton removal
  138. Sat Jun 14 10:00:55 2025 begin with 69066989 relations and 58418359 unique ideals
  139. Sat Jun 14 10:01:28 2025 reduce to 68830161 relations and 54900956 ideals in 6 passes
  140. Sat Jun 14 10:01:28 2025 max relations containing the same ideal: 124
  141. Sat Jun 14 10:01:57 2025 removing 5302521 relations and 3302521 ideals in 2000000 cliques
  142. Sat Jun 14 10:01:59 2025 commencing in-memory singleton removal
  143. Sat Jun 14 10:02:04 2025 begin with 63527640 relations and 54900956 unique ideals
  144. Sat Jun 14 10:02:34 2025 reduce to 63267122 relations and 51331271 ideals in 6 passes
  145. Sat Jun 14 10:02:34 2025 max relations containing the same ideal: 114
  146. Sat Jun 14 10:03:01 2025 removing 5337728 relations and 3337728 ideals in 2000000 cliques
  147. Sat Jun 14 10:03:03 2025 commencing in-memory singleton removal
  148. Sat Jun 14 10:03:07 2025 begin with 57929394 relations and 51331271 unique ideals
  149. Sat Jun 14 10:03:34 2025 reduce to 57639034 relations and 47695042 ideals in 6 passes
  150. Sat Jun 14 10:03:34 2025 max relations containing the same ideal: 107
  151. Sat Jun 14 10:03:59 2025 removing 5389949 relations and 3389949 ideals in 2000000 cliques
  152. Sat Jun 14 10:04:01 2025 commencing in-memory singleton removal
  153. Sat Jun 14 10:04:04 2025 begin with 52249085 relations and 47695042 unique ideals
  154. Sat Jun 14 10:04:29 2025 reduce to 51924562 relations and 43970759 ideals in 6 passes
  155. Sat Jun 14 10:04:29 2025 max relations containing the same ideal: 102
  156. Sat Jun 14 10:04:51 2025 removing 5455256 relations and 3455256 ideals in 2000000 cliques
  157. Sat Jun 14 10:04:53 2025 commencing in-memory singleton removal
  158. Sat Jun 14 10:04:56 2025 begin with 46469306 relations and 43970759 unique ideals
  159. Sat Jun 14 10:05:18 2025 reduce to 46096929 relations and 40130627 ideals in 6 passes
  160. Sat Jun 14 10:05:18 2025 max relations containing the same ideal: 91
  161. Sat Jun 14 10:05:38 2025 removing 5535453 relations and 3535453 ideals in 2000000 cliques
  162. Sat Jun 14 10:05:39 2025 commencing in-memory singleton removal
  163. Sat Jun 14 10:05:42 2025 begin with 40561476 relations and 40130627 unique ideals
  164. Sat Jun 14 10:06:04 2025 reduce to 40122840 relations and 36140538 ideals in 7 passes
  165. Sat Jun 14 10:06:04 2025 max relations containing the same ideal: 84
  166. Sat Jun 14 10:06:22 2025 removing 5638112 relations and 3638112 ideals in 2000000 cliques
  167. Sat Jun 14 10:06:23 2025 commencing in-memory singleton removal
  168. Sat Jun 14 10:06:26 2025 begin with 34484728 relations and 36140538 unique ideals
  169. Sat Jun 14 10:06:44 2025 reduce to 33951712 relations and 31946784 ideals in 7 passes
  170. Sat Jun 14 10:06:44 2025 max relations containing the same ideal: 76
  171. Sat Jun 14 10:06:59 2025 removing 3220280 relations and 2223043 ideals in 997237 cliques
  172. Sat Jun 14 10:07:00 2025 commencing in-memory singleton removal
  173. Sat Jun 14 10:07:02 2025 begin with 30731432 relations and 31946784 unique ideals
  174. Sat Jun 14 10:07:16 2025 reduce to 30484545 relations and 29470320 ideals in 6 passes
  175. Sat Jun 14 10:07:16 2025 max relations containing the same ideal: 70
  176. Sat Jun 14 10:07:33 2025 relations with 0 large ideals: 65303
  177. Sat Jun 14 10:07:33 2025 relations with 1 large ideals: 16673
  178. Sat Jun 14 10:07:33 2025 relations with 2 large ideals: 154999
  179. Sat Jun 14 10:07:33 2025 relations with 3 large ideals: 958470
  180. Sat Jun 14 10:07:33 2025 relations with 4 large ideals: 3199886
  181. Sat Jun 14 10:07:33 2025 relations with 5 large ideals: 6383920
  182. Sat Jun 14 10:07:33 2025 relations with 6 large ideals: 7969342
  183. Sat Jun 14 10:07:33 2025 relations with 7+ large ideals: 11735952
  184. Sat Jun 14 10:07:33 2025 commencing 2-way merge
  185. Sat Jun 14 10:07:52 2025 reduce to 21018329 relation sets and 20004104 unique ideals
  186. Sat Jun 14 10:07:52 2025 commencing full merge
  187. Sat Jun 14 10:16:41 2025 memory use: 2778.2 MB
  188. Sat Jun 14 10:16:46 2025 found 10251529 cycles, need 10130304
  189. Sat Jun 14 10:16:47 2025 weight of 10130304 cycles is about 1013244318 (100.02/cycle)
  190. Sat Jun 14 10:16:47 2025 distribution of cycle lengths:
  191. Sat Jun 14 10:16:47 2025 1 relations: 534987
  192. Sat Jun 14 10:16:47 2025 2 relations: 737374
  193. Sat Jun 14 10:16:47 2025 3 relations: 861405
  194. Sat Jun 14 10:16:47 2025 4 relations: 893880
  195. Sat Jun 14 10:16:47 2025 5 relations: 914047
  196. Sat Jun 14 10:16:47 2025 6 relations: 898900
  197. Sat Jun 14 10:16:47 2025 7 relations: 856148
  198. Sat Jun 14 10:16:47 2025 8 relations: 785968
  199. Sat Jun 14 10:16:47 2025 9 relations: 700013
  200. Sat Jun 14 10:16:47 2025 10+ relations: 2947582
  201. Sat Jun 14 10:16:47 2025 heaviest cycle: 26 relations
  202. Sat Jun 14 10:16:58 2025 commencing cycle optimization
  203. Sat Jun 14 10:17:15 2025 start with 75319631 relations
  204. Sat Jun 14 10:20:32 2025 pruned 3434674 relations
  205. Sat Jun 14 10:20:32 2025 memory use: 2048.1 MB
  206. Sat Jun 14 10:20:32 2025 distribution of cycle lengths:
  207. Sat Jun 14 10:20:32 2025 1 relations: 534987
  208. Sat Jun 14 10:20:32 2025 2 relations: 754171
  209. Sat Jun 14 10:20:32 2025 3 relations: 897185
  210. Sat Jun 14 10:20:32 2025 4 relations: 932849
  211. Sat Jun 14 10:20:32 2025 5 relations: 964729
  212. Sat Jun 14 10:20:32 2025 6 relations: 945387
  213. Sat Jun 14 10:20:32 2025 7 relations: 904646
  214. Sat Jun 14 10:20:32 2025 8 relations: 822420
  215. Sat Jun 14 10:20:32 2025 9 relations: 726317
  216. Sat Jun 14 10:20:32 2025 10+ relations: 2647613
  217. Sat Jun 14 10:20:32 2025 heaviest cycle: 26 relations
  218. Sat Jun 14 10:20:50 2025 RelProcTime: 10741
  219. Sat Jun 14 10:20:50 2025
  220. Sat Jun 14 10:20:50 2025 commencing linear algebra
  221. Sat Jun 14 10:20:52 2025 read 10130304 cycles
  222. Sat Jun 14 10:21:12 2025 cycles contain 30002698 unique relations
  223. Sat Jun 14 10:28:06 2025 read 30002698 relations
  224. Sat Jun 14 10:28:55 2025 using 20 quadratic characters above 2147482064
  225. Sat Jun 14 10:30:55 2025 building initial matrix
  226. Sat Jun 14 10:36:37 2025 memory use: 3770.6 MB
  227. Sat Jun 14 10:37:02 2025 read 10130304 cycles
  228. Sat Jun 14 10:37:05 2025 matrix is 10130126 x 10130304 (4061.7 MB) with weight 1161056616 (114.61/col)
  229. Sat Jun 14 10:37:05 2025 sparse part has weight 953316477 (94.11/col)
  230. Sat Jun 14 10:38:52 2025 filtering completed in 2 passes
  231. Sat Jun 14 10:38:55 2025 matrix is 10129430 x 10129608 (4061.6 MB) with weight 1161029709 (114.62/col)
  232. Sat Jun 14 10:38:55 2025 sparse part has weight 953303926 (94.11/col)
  233. Sat Jun 14 10:40:28 2025 matrix starts at (0, 0)
  234. Sat Jun 14 10:40:31 2025 matrix is 10129430 x 10129608 (4061.6 MB) with weight 1161029709 (114.62/col)
  235. Sat Jun 14 10:40:31 2025 sparse part has weight 953303926 (94.11/col)
  236. Sat Jun 14 10:40:31 2025 saving the first 48 matrix rows for later
  237. Sat Jun 14 10:40:34 2025 matrix includes 64 packed rows
  238. Sat Jun 14 10:40:36 2025 matrix is 10129382 x 10129608 (3883.0 MB) with weight 981232236 (96.87/col)
  239. Sat Jun 14 10:40:36 2025 sparse part has weight 916613359 (90.49/col)
  240. Sat Jun 14 10:40:36 2025 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  241. Sat Jun 14 10:41:23 2025 commencing Lanczos iteration (4 threads)
  242. Sat Jun 14 10:41:23 2025 memory use: 3297.6 MB
  243. Sat Jun 14 10:42:37 2025 linear algebra at 0.0%, ETA 131h40m
  244. Sat Jun 14 10:43:01 2025 checkpointing every 80000 dimensions
  245. Fri Jun 20 00:30:53 2025 lanczos halted after 160188 iterations (dim = 10129376)
  246. Fri Jun 20 00:31:05 2025 recovered 38 nontrivial dependencies
  247. Fri Jun 20 00:31:11 2025 BLanczosTime: 483021
  248. Fri Jun 20 00:31:11 2025
  249. Fri Jun 20 00:31:11 2025 commencing square root phase
  250. Fri Jun 20 00:31:11 2025 handling dependencies 1 to 64
  251. Fri Jun 20 00:31:11 2025 reading relations for dependency 1
  252. Fri Jun 20 00:31:23 2025 read 5062515 cycles
  253. Fri Jun 20 00:31:31 2025 cycles contain 14997494 unique relations
  254. Fri Jun 20 00:38:21 2025 read 14997494 relations
  255. Fri Jun 20 00:39:39 2025 multiplying 14997494 relations
  256. Fri Jun 20 00:51:10 2025 multiply complete, coefficients have about 388.21 million bits
  257. Fri Jun 20 00:51:14 2025 initial square root is modulo 9240989
  258. Fri Jun 20 01:05:32 2025 sqrtTime: 2061
  259. Fri Jun 20 01:05:32 2025 prp84 factor: 371343474075572705025213958395659754643483478502222449835674131178673672721251021241
  260. Fri Jun 20 01:05:32 2025 prp97 factor: 6881151480646525700169602903103729476019871313463048889545800749675585019632045461614800137689881
  261. Fri Jun 20 01:05:32 2025 elapsed time 137:43:44
  262.  
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