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Msieve log of 8p3_326

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Jan 26th, 2022
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  1. Sat Jan 15 15:55:19 2022
  2. Sat Jan 15 15:55:19 2022
  3. Sat Jan 15 15:55:19 2022 Msieve v. 1.52 (SVN unknown)
  4. Sat Jan 15 15:55:19 2022 random seeds: 9c4cea40 ebb8e127
  5. Sat Jan 15 15:55:19 2022 factoring 1271515007705102652189952725761191819303345301747516657201545585841235185390068713842394904588907747685724022636366668603115951556046696630803051897639628872247236774090687993328825102782693109 (193 digits)
  6. Sat Jan 15 15:55:20 2022 no P-1/P+1/ECM available, skipping
  7. Sat Jan 15 15:55:20 2022 commencing number field sieve (193-digit input)
  8. Sat Jan 15 15:55:20 2022 R0: -17582196259493193321859678027857321489
  9. Sat Jan 15 15:55:20 2022 R1: 661059788828815378
  10. Sat Jan 15 15:55:20 2022 A0: 133940870445853294835954766480701480672986396520
  11. Sat Jan 15 15:55:20 2022 A1: -1452026674957821687668946144418097210522
  12. Sat Jan 15 15:55:20 2022 A2: -47876173107630258151460327041757
  13. Sat Jan 15 15:55:20 2022 A3: 252440726525492253340481
  14. Sat Jan 15 15:55:20 2022 A4: 4692042918656352
  15. Sat Jan 15 15:55:20 2022 A5: -3027024
  16. Sat Jan 15 15:55:20 2022 skew 107487791.89, size 7.956e-019, alpha -8.794, combined = 1.492e-014 rroots = 3
  17. Sat Jan 15 15:55:20 2022
  18. Sat Jan 15 15:55:20 2022 commencing relation filtering
  19. Sat Jan 15 15:55:20 2022 setting target matrix density to 126.0
  20. Sat Jan 15 15:55:20 2022 estimated available RAM is 130978.7 MB
  21. Sat Jan 15 15:55:20 2022 commencing duplicate removal, pass 1
  22. Sat Jan 15 15:55:30 2022 error -15 reading relation 830975
  23. Sat Jan 15 15:55:30 2022 error -15 reading relation 839210
  24. Sat Jan 15 15:55:38 2022 error -1 reading relation 1541532
  25. Sat Jan 15 15:55:38 2022 error -15 reading relation 1543014
  26. Sat Jan 15 15:55:38 2022 error -15 reading relation 1543048
  27. Sat Jan 15 17:05:20 2022 error -5 reading relation 363473585
  28. Sat Jan 15 17:05:31 2022 error -9 reading relation 364465344
  29. Sat Jan 15 17:05:51 2022 error -11 reading relation 366247544
  30. Sat Jan 15 17:05:57 2022 error -15 reading relation 366779523
  31. Sat Jan 15 17:05:57 2022 error -15 reading relation 366812792
  32. Sat Jan 15 17:05:57 2022 error -9 reading relation 366834502
  33. Sat Jan 15 17:06:02 2022 error -15 reading relation 367232895
  34. Sat Jan 15 17:06:04 2022 error -5 reading relation 367447527
  35. Sat Jan 15 17:06:05 2022 error -15 reading relation 367458679
  36. Sat Jan 15 17:06:12 2022 error -15 reading relation 368095180
  37. Sat Jan 15 17:06:14 2022 error -9 reading relation 368291261
  38. Sat Jan 15 17:06:23 2022 skipped 1 relations with b > 2^32
  39. Sat Jan 15 17:06:23 2022 found 88207220 hash collisions in 369053845 relations
  40. Sat Jan 15 17:07:13 2022 added 121764 free relations
  41. Sat Jan 15 17:07:13 2022 commencing duplicate removal, pass 2
  42. Sat Jan 15 17:10:30 2022 found 90525482 duplicates and 278650127 unique relations
  43. Sat Jan 15 17:10:30 2022 memory use: 2387.0 MB
  44. Sat Jan 15 17:10:30 2022 reading ideals above 720000
  45. Sat Jan 15 17:10:30 2022 commencing singleton removal, initial pass
  46. Sat Jan 15 18:18:57 2022 memory use: 6024.0 MB
  47. Sat Jan 15 18:18:58 2022 reading all ideals from disk
  48. Sat Jan 15 18:19:03 2022 memory use: 12113.4 MB
  49. Sat Jan 15 18:20:04 2022 keeping 264289109 ideals with weight <= 200, target excess is 1500107
  50. Sat Jan 15 18:21:08 2022 commencing in-memory singleton removal
  51. Sat Jan 15 18:22:00 2022 begin with 278650127 relations and 264289109 unique ideals
  52. Sat Jan 15 18:30:25 2022 reduce to 187086859 relations and 164338214 ideals in 15 passes
  53. Sat Jan 15 18:30:25 2022 max relations containing the same ideal: 162
  54. Sat Jan 15 18:32:55 2022 removing 12814321 relations and 10814321 ideals in 2000000 cliques
  55. Sat Jan 15 18:32:59 2022 commencing in-memory singleton removal
  56. Sat Jan 15 18:33:29 2022 begin with 174272538 relations and 164338214 unique ideals
  57. Sat Jan 15 18:37:45 2022 reduce to 173551428 relations and 152792617 ideals in 9 passes
  58. Sat Jan 15 18:37:45 2022 max relations containing the same ideal: 154
  59. Sat Jan 15 18:39:52 2022 removing 9817170 relations and 7817170 ideals in 2000000 cliques
  60. Sat Jan 15 18:39:57 2022 commencing in-memory singleton removal
  61. Sat Jan 15 18:40:25 2022 begin with 163734258 relations and 152792617 unique ideals
  62. Sat Jan 15 18:44:16 2022 reduce to 163259083 relations and 144494491 ideals in 8 passes
  63. Sat Jan 15 18:44:16 2022 max relations containing the same ideal: 150
  64. Sat Jan 15 18:46:19 2022 removing 8915226 relations and 6915226 ideals in 2000000 cliques
  65. Sat Jan 15 18:46:23 2022 commencing in-memory singleton removal
  66. Sat Jan 15 18:46:49 2022 begin with 154343857 relations and 144494491 unique ideals
  67. Sat Jan 15 18:50:31 2022 reduce to 153923685 relations and 137154042 ideals in 9 passes
  68. Sat Jan 15 18:50:31 2022 max relations containing the same ideal: 145
  69. Sat Jan 15 18:52:26 2022 removing 8455262 relations and 6455262 ideals in 2000000 cliques
  70. Sat Jan 15 18:52:29 2022 commencing in-memory singleton removal
  71. Sat Jan 15 18:52:53 2022 begin with 145468423 relations and 137154042 unique ideals
  72. Sat Jan 15 18:56:49 2022 reduce to 145065860 relations and 130291297 ideals in 10 passes
  73. Sat Jan 15 18:56:49 2022 max relations containing the same ideal: 137
  74. Sat Jan 15 18:58:35 2022 removing 8191855 relations and 6191855 ideals in 2000000 cliques
  75. Sat Jan 15 18:58:38 2022 commencing in-memory singleton removal
  76. Sat Jan 15 18:59:01 2022 begin with 136874005 relations and 130291297 unique ideals
  77. Sat Jan 15 19:01:53 2022 reduce to 136473764 relations and 123694180 ideals in 8 passes
  78. Sat Jan 15 19:01:53 2022 max relations containing the same ideal: 130
  79. Sat Jan 15 19:03:34 2022 removing 8037610 relations and 6037610 ideals in 2000000 cliques
  80. Sat Jan 15 19:03:37 2022 commencing in-memory singleton removal
  81. Sat Jan 15 19:03:57 2022 begin with 128436154 relations and 123694180 unique ideals
  82. Sat Jan 15 19:06:20 2022 reduce to 128027241 relations and 117242273 ideals in 7 passes
  83. Sat Jan 15 19:06:20 2022 max relations containing the same ideal: 126
  84. Sat Jan 15 19:08:00 2022 removing 7951043 relations and 5951043 ideals in 2000000 cliques
  85. Sat Jan 15 19:08:04 2022 commencing in-memory singleton removal
  86. Sat Jan 15 19:08:24 2022 begin with 120076198 relations and 117242273 unique ideals
  87. Sat Jan 15 19:11:02 2022 reduce to 119646828 relations and 110855949 ideals in 8 passes
  88. Sat Jan 15 19:11:02 2022 max relations containing the same ideal: 120
  89. Sat Jan 15 19:12:33 2022 removing 7927286 relations and 5927286 ideals in 2000000 cliques
  90. Sat Jan 15 19:12:37 2022 commencing in-memory singleton removal
  91. Sat Jan 15 19:12:55 2022 begin with 111719542 relations and 110855949 unique ideals
  92. Sat Jan 15 19:14:57 2022 reduce to 111264330 relations and 104466772 ideals in 7 passes
  93. Sat Jan 15 19:14:57 2022 max relations containing the same ideal: 114
  94. Sat Jan 15 19:16:18 2022 removing 7949338 relations and 5949338 ideals in 2000000 cliques
  95. Sat Jan 15 19:16:21 2022 commencing in-memory singleton removal
  96. Sat Jan 15 19:16:37 2022 begin with 103314992 relations and 104466772 unique ideals
  97. Sat Jan 15 19:18:45 2022 reduce to 102817814 relations and 98012451 ideals in 8 passes
  98. Sat Jan 15 19:18:45 2022 max relations containing the same ideal: 109
  99. Sat Jan 15 19:20:05 2022 removing 8023585 relations and 6023585 ideals in 2000000 cliques
  100. Sat Jan 15 19:20:07 2022 commencing in-memory singleton removal
  101. Sat Jan 15 19:20:22 2022 begin with 94794229 relations and 98012451 unique ideals
  102. Sat Jan 15 19:22:34 2022 reduce to 94241965 relations and 91427385 ideals in 9 passes
  103. Sat Jan 15 19:22:34 2022 max relations containing the same ideal: 104
  104. Sat Jan 15 19:23:45 2022 removing 4970820 relations and 3896365 ideals in 1074455 cliques
  105. Sat Jan 15 19:23:47 2022 commencing in-memory singleton removal
  106. Sat Jan 15 19:24:01 2022 begin with 89271145 relations and 91427385 unique ideals
  107. Sat Jan 15 19:25:34 2022 reduce to 89053840 relations and 87311588 ideals in 7 passes
  108. Sat Jan 15 19:25:34 2022 max relations containing the same ideal: 101
  109. Sat Jan 15 19:26:54 2022 relations with 0 large ideals: 5175
  110. Sat Jan 15 19:26:54 2022 relations with 1 large ideals: 13712
  111. Sat Jan 15 19:26:54 2022 relations with 2 large ideals: 211920
  112. Sat Jan 15 19:26:54 2022 relations with 3 large ideals: 1527539
  113. Sat Jan 15 19:26:54 2022 relations with 4 large ideals: 6087890
  114. Sat Jan 15 19:26:54 2022 relations with 5 large ideals: 14773241
  115. Sat Jan 15 19:26:54 2022 relations with 6 large ideals: 22855756
  116. Sat Jan 15 19:26:54 2022 relations with 7+ large ideals: 43578607
  117. Sat Jan 15 19:26:54 2022 commencing 2-way merge
  118. Sat Jan 15 19:28:32 2022 reduce to 58168710 relation sets and 56426458 unique ideals
  119. Sat Jan 15 19:28:32 2022 commencing full merge
  120. Sat Jan 15 19:59:42 2022 memory use: 6794.4 MB
  121. Sat Jan 15 19:59:55 2022 found 25399460 cycles, need 25300658
  122. Sat Jan 15 19:59:57 2022 weight of 25300658 cycles is about 3188096549 (126.01/cycle)
  123. Sat Jan 15 19:59:57 2022 distribution of cycle lengths:
  124. Sat Jan 15 19:59:57 2022 1 relations: 1883449
  125. Sat Jan 15 19:59:57 2022 2 relations: 1769799
  126. Sat Jan 15 19:59:57 2022 3 relations: 1870471
  127. Sat Jan 15 19:59:57 2022 4 relations: 1861698
  128. Sat Jan 15 19:59:57 2022 5 relations: 1862495
  129. Sat Jan 15 19:59:57 2022 6 relations: 1802401
  130. Sat Jan 15 19:59:57 2022 7 relations: 1724229
  131. Sat Jan 15 19:59:57 2022 8 relations: 1635812
  132. Sat Jan 15 19:59:57 2022 9 relations: 1529771
  133. Sat Jan 15 19:59:57 2022 10+ relations: 9360533
  134. Sat Jan 15 19:59:57 2022 heaviest cycle: 28 relations
  135. Sat Jan 15 20:01:06 2022 commencing cycle optimization
  136. Sat Jan 15 20:01:59 2022 start with 211718820 relations
  137. Sat Jan 15 20:14:13 2022 pruned 9355193 relations
  138. Sat Jan 15 20:14:13 2022 memory use: 5814.9 MB
  139. Sat Jan 15 20:14:13 2022 distribution of cycle lengths:
  140. Sat Jan 15 20:14:13 2022 1 relations: 1883449
  141. Sat Jan 15 20:14:13 2022 2 relations: 1823692
  142. Sat Jan 15 20:14:13 2022 3 relations: 1957711
  143. Sat Jan 15 20:14:13 2022 4 relations: 1942914
  144. Sat Jan 15 20:14:13 2022 5 relations: 1953051
  145. Sat Jan 15 20:14:13 2022 6 relations: 1882895
  146. Sat Jan 15 20:14:13 2022 7 relations: 1804696
  147. Sat Jan 15 20:14:13 2022 8 relations: 1701553
  148. Sat Jan 15 20:14:13 2022 9 relations: 1585428
  149. Sat Jan 15 20:14:13 2022 10+ relations: 8765269
  150. Sat Jan 15 20:14:13 2022 heaviest cycle: 28 relations
  151. Sat Jan 15 20:15:58 2022 RelProcTime: 15638
  152. Sat Jan 15 20:15:58 2022
  153. Sat Jan 15 20:15:58 2022 commencing linear algebra
  154. Sat Jan 15 20:16:07 2022 read 25300658 cycles
  155. Sat Jan 15 20:17:13 2022 cycles contain 88010698 unique relations
  156. Sat Jan 15 20:34:37 2022 read 88010698 relations
  157. Sat Jan 15 20:38:23 2022 using 20 quadratic characters above 4294917296
  158. Sat Jan 15 20:45:47 2022 building initial matrix
  159. Sat Jan 15 21:11:12 2022 memory use: 12613.0 MB
  160. Sat Jan 15 21:12:10 2022 read 25300658 cycles
  161. Sat Jan 15 21:12:22 2022 matrix is 25300480 x 25300658 (12458.6 MB) with weight 3782293027 (149.49/col)
  162. Sat Jan 15 21:12:22 2022 sparse part has weight 2962343046 (117.09/col)
  163. Sat Jan 15 21:22:36 2022 filtering completed in 2 passes
  164. Sat Jan 15 21:22:48 2022 matrix is 25299448 x 25299626 (12458.5 MB) with weight 3782244901 (149.50/col)
  165. Sat Jan 15 21:22:48 2022 sparse part has weight 2962330461 (117.09/col)
  166. Sat Jan 15 21:25:28 2022 matrix starts at (0, 0)
  167. Sat Jan 15 21:25:39 2022 matrix is 25299448 x 25299626 (12458.5 MB) with weight 3782244901 (149.50/col)
  168. Sat Jan 15 21:25:39 2022 sparse part has weight 2962330461 (117.09/col)
  169. Sat Jan 15 21:25:39 2022 saving the first 48 matrix rows for later
  170. Sat Jan 15 21:25:48 2022 matrix includes 64 packed rows
  171. Sat Jan 15 21:25:54 2022 matrix is 25299400 x 25299626 (12148.7 MB) with weight 3264053529 (129.02/col)
  172. Sat Jan 15 21:25:54 2022 sparse part has weight 2931710042 (115.88/col)
  173. Sat Jan 15 21:25:54 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  174. Sat Jan 15 21:29:41 2022 commencing Lanczos iteration (24 threads)
  175. Sat Jan 15 21:29:41 2022 memory use: 10393.9 MB
  176. Sat Jan 15 21:30:39 2022 linear algebra at 0.0%, ETA 253h56m
  177. Sat Jan 15 21:30:58 2022 checkpointing every 100000 dimensions
  178. Wed Jan 26 08:51:55 2022 lanczos halted after 400074 iterations (dim = 25299400)
  179. Wed Jan 26 08:52:18 2022 recovered 30 nontrivial dependencies
  180. Wed Jan 26 08:52:58 2022 BLanczosTime: 909420
  181. Wed Jan 26 08:52:58 2022
  182. Wed Jan 26 08:52:58 2022 commencing square root phase
  183. Wed Jan 26 08:52:58 2022 cannot handle negative leading algebraic polynomial coefficient
  184. Wed Jan 26 08:52:58 2022 sqrtTime: 0
  185. Wed Jan 26 08:52:58 2022 elapsed time 256:57:39
  186. Wed Jan 26 09:06:29 2022
  187. Wed Jan 26 09:06:29 2022
  188. Wed Jan 26 09:06:29 2022 Msieve v. 1.52 (SVN unknown)
  189. Wed Jan 26 09:06:29 2022 random seeds: db8e85f8 258e70e1
  190. Wed Jan 26 09:06:29 2022 factoring 1271515007705102652189952725761191819303345301747516657201545585841235185390068713842394904588907747685724022636366668603115951556046696630803051897639628872247236774090687993328825102782693109 (193 digits)
  191. Wed Jan 26 09:06:30 2022 no P-1/P+1/ECM available, skipping
  192. Wed Jan 26 09:06:30 2022 commencing number field sieve (193-digit input)
  193. Wed Jan 26 09:06:30 2022 R0: -17582196259493193321859678027857321489
  194. Wed Jan 26 09:06:30 2022 R1: 661059788828815378
  195. Wed Jan 26 09:06:30 2022 A0: -133940870445853294835954766480701480672986396520
  196. Wed Jan 26 09:06:30 2022 A1: 1452026674957821687668946144418097210522
  197. Wed Jan 26 09:06:30 2022 A2: 47876173107630258151460327041757
  198. Wed Jan 26 09:06:30 2022 A3: -252440726525492253340481
  199. Wed Jan 26 09:06:30 2022 A4: -4692042918656352
  200. Wed Jan 26 09:06:30 2022 A5: 3027024
  201. Wed Jan 26 09:06:30 2022 skew 107487791.89, size 7.956e-019, alpha -8.794, combined = 1.492e-014 rroots = 3
  202. Wed Jan 26 09:06:30 2022
  203. Wed Jan 26 09:06:30 2022 commencing linear algebra
  204. Wed Jan 26 09:06:47 2022 matrix starts at (0, 0)
  205. Wed Jan 26 09:06:59 2022 matrix is 25299448 x 25299626 (12458.5 MB) with weight 3782244901 (149.50/col)
  206. Wed Jan 26 09:06:59 2022 sparse part has weight 2962330461 (117.09/col)
  207. Wed Jan 26 09:06:59 2022 saving the first 48 matrix rows for later
  208. Wed Jan 26 09:07:07 2022 matrix includes 64 packed rows
  209. Wed Jan 26 09:07:13 2022 matrix is 25299400 x 25299626 (12148.7 MB) with weight 3264053529 (129.02/col)
  210. Wed Jan 26 09:07:13 2022 sparse part has weight 2931710042 (115.88/col)
  211. Wed Jan 26 09:07:13 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  212. Wed Jan 26 09:10:56 2022 commencing Lanczos iteration (24 threads)
  213. Wed Jan 26 09:10:56 2022 memory use: 10393.9 MB
  214. Wed Jan 26 09:10:56 2022 restarting at iteration 398501 (dim = 25200028)
  215. Wed Jan 26 09:11:47 2022 linear algebra at 99.6%, ETA 0h54m
  216. Wed Jan 26 09:12:04 2022 checkpointing every 110000 dimensions
  217. Wed Jan 26 10:08:14 2022 lanczos halted after 400074 iterations (dim = 25299400)
  218. Wed Jan 26 10:08:38 2022 recovered 30 nontrivial dependencies
  219. Wed Jan 26 10:09:04 2022 BLanczosTime: 3754
  220. Wed Jan 26 10:09:04 2022 elapsed time 01:02:35
  221. Wed Jan 26 10:24:24 2022
  222. Wed Jan 26 10:24:24 2022
  223. Wed Jan 26 10:24:24 2022 Msieve v. 1.52 (SVN unknown)
  224. Wed Jan 26 10:24:24 2022 random seeds: 8db7325c 305422f6
  225. Wed Jan 26 10:24:24 2022 factoring 1271515007705102652189952725761191819303345301747516657201545585841235185390068713842394904588907747685724022636366668603115951556046696630803051897639628872247236774090687993328825102782693109 (193 digits)
  226. Wed Jan 26 10:24:25 2022 no P-1/P+1/ECM available, skipping
  227. Wed Jan 26 10:24:25 2022 commencing number field sieve (193-digit input)
  228. Wed Jan 26 10:24:25 2022 R0: -17582196259493193321859678027857321489
  229. Wed Jan 26 10:24:25 2022 R1: 661059788828815378
  230. Wed Jan 26 10:24:25 2022 A0: -133940870445853294835954766480701480672986396520
  231. Wed Jan 26 10:24:25 2022 A1: 1452026674957821687668946144418097210522
  232. Wed Jan 26 10:24:25 2022 A2: 47876173107630258151460327041757
  233. Wed Jan 26 10:24:25 2022 A3: -252440726525492253340481
  234. Wed Jan 26 10:24:25 2022 A4: -4692042918656352
  235. Wed Jan 26 10:24:25 2022 A5: 3027024
  236. Wed Jan 26 10:24:25 2022 skew 107487791.89, size 7.956e-019, alpha -8.794, combined = 1.492e-014 rroots = 3
  237. Wed Jan 26 10:24:25 2022
  238. Wed Jan 26 10:24:25 2022 commencing square root phase
  239. Wed Jan 26 10:24:25 2022 reading relations for dependency 1
  240. Wed Jan 26 10:24:30 2022 read 12648531 cycles
  241. Wed Jan 26 10:25:01 2022 cycles contain 44009124 unique relations
  242. Wed Jan 26 10:34:12 2022 read 44009124 relations
  243. Wed Jan 26 10:39:01 2022 multiplying 44009124 relations
  244. Wed Jan 26 12:18:12 2022 multiply complete, coefficients have about 2859.86 million bits
  245. Wed Jan 26 12:18:57 2022 initial square root is modulo 2595871
  246. Wed Jan 26 14:23:45 2022 GCD is 1, no factor found
  247. Wed Jan 26 14:23:45 2022 reading relations for dependency 2
  248. Wed Jan 26 14:23:50 2022 read 12642424 cycles
  249. Wed Jan 26 14:24:21 2022 cycles contain 43991432 unique relations
  250. Wed Jan 26 14:35:29 2022 read 43991432 relations
  251. Wed Jan 26 14:40:45 2022 multiplying 43991432 relations
  252. Wed Jan 26 16:21:29 2022 multiply complete, coefficients have about 2858.73 million bits
  253. Wed Jan 26 16:22:06 2022 initial square root is modulo 2580737
  254. Wed Jan 26 18:21:46 2022 GCD is N, no factor found
  255. Wed Jan 26 18:21:46 2022 reading relations for dependency 3
  256. Wed Jan 26 18:21:51 2022 read 12652332 cycles
  257. Wed Jan 26 18:22:22 2022 cycles contain 44011990 unique relations
  258. Wed Jan 26 18:31:52 2022 read 44011990 relations
  259. Wed Jan 26 18:36:45 2022 multiplying 44011990 relations
  260. Wed Jan 26 20:10:30 2022 multiply complete, coefficients have about 2860.07 million bits
  261. Wed Jan 26 20:11:06 2022 initial square root is modulo 2598511
  262. Wed Jan 26 22:11:03 2022 sqrtTime: 42398
  263. Wed Jan 26 22:11:03 2022 prp68 factor: 14376412083313214245755608148968611466088314059645058938641614791489
  264. Wed Jan 26 22:11:03 2022 prp125 factor: 88444529854633032744594600889764644257716154730781116396608229359179393474155329672282202305979414075051093773080481336742581
  265. Wed Jan 26 22:11:03 2022 elapsed time 11:46:39
  266.  
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