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kyleaskine
Jun 10th, 2026
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  1. Sun Jun 7 12:14:48 2026
  2. Sun Jun 7 12:14:48 2026
  3. Sun Jun 7 12:14:48 2026 Msieve v. 1.54 (SVN unknown)
  4. Sun Jun 7 12:14:48 2026 random seeds: 485d136f 55be69c3
  5. Sun Jun 7 12:14:48 2026 Using 8 OpenMP threads
  6. Sun Jun 7 12:14:48 2026 factoring 162742432490798717528859432613614878732828106692555184842238019080956864276230153048172808278663507410131343641381792519255191269072868785701872779027585559500988924192499553468238276603 (186 digits)
  7. Sun Jun 7 12:14:48 2026 no P-1/P+1/ECM available, skipping
  8. Sun Jun 7 12:14:48 2026 commencing number field sieve (186-digit input)
  9. Sun Jun 7 12:14:48 2026 R0: -979862271667990406605962158903688868
  10. Sun Jun 7 12:14:48 2026 R1: 177780839010363276604123
  11. Sun Jun 7 12:14:48 2026 A0: -107797650291584763816046225735923862634679390
  12. Sun Jun 7 12:14:48 2026 A1: -23079464729495475436340041164588059437
  13. Sun Jun 7 12:14:48 2026 A2: 1963055697275297061426037872672
  14. Sun Jun 7 12:14:48 2026 A3: 28378130937633551727925
  15. Sun Jun 7 12:14:48 2026 A4: -424757090734914
  16. Sun Jun 7 12:14:48 2026 A5: 1081080
  17. Sun Jun 7 12:14:48 2026 skew 46160235.10, size 4.995e-18, alpha -8.390, combined = 4.621e-14 rroots = 5
  18. Sun Jun 7 12:14:48 2026
  19. Sun Jun 7 12:14:48 2026 commencing relation filtering
  20. Sun Jun 7 12:14:48 2026 setting 3 target densities:Sun Jun 7 12:14:48 2026 80Sun Jun 7 12:14:48 2026 100Sun Jun 7 12:14:48 2026 120Sun Jun 7 12:14:48 2026
  21. Sun Jun 7 12:14:48 2026 estimated available RAM is 78540.1 MB
  22. Sun Jun 7 12:14:48 2026 commencing duplicate removal, pass 1
  23. Sun Jun 7 12:15:41 2026 error -1 reading relation 10367204
  24. Sun Jun 7 12:15:51 2026 error -1 reading relation 12621585
  25. Sun Jun 7 12:15:57 2026 error -1 reading relation 13988831
  26. Sun Jun 7 12:17:25 2026 error -1 reading relation 31949395
  27. Sun Jun 7 12:17:35 2026 error -1 reading relation 33707168
  28. Sun Jun 7 12:20:22 2026 error -1 reading relation 65213053
  29. Sun Jun 7 12:20:30 2026 error -1 reading relation 66958697
  30. Sun Jun 7 12:20:44 2026 error -1 reading relation 69927719
  31. Sun Jun 7 12:22:41 2026 error -1 reading relation 93545757
  32. Sun Jun 7 12:22:48 2026 error -1 reading relation 95148808
  33. Sun Jun 7 12:25:22 2026 error -1 reading relation 127538396
  34. Sun Jun 7 12:25:58 2026 error -1 reading relation 135153698
  35. Sun Jun 7 12:26:09 2026 error -1 reading relation 137565861
  36. Sun Jun 7 12:26:10 2026 error -1 reading relation 137863590
  37. Sun Jun 7 12:26:31 2026 error -1 reading relation 142138684
  38. Sun Jun 7 12:27:53 2026 error -1 reading relation 160491696
  39. Sun Jun 7 12:28:38 2026 error -1 reading relation 170438239
  40. Sun Jun 7 12:28:50 2026 error -1 reading relation 172412958
  41. Sun Jun 7 12:28:53 2026 error -1 reading relation 173180771
  42. Sun Jun 7 12:29:49 2026 error -1 reading relation 185140786
  43. Sun Jun 7 12:29:49 2026 error -1 reading relation 185140787
  44. Sun Jun 7 12:30:32 2026 error -1 reading relation 191715510
  45. Sun Jun 7 12:31:08 2026 error -1 reading relation 198092365
  46. Sun Jun 7 12:31:29 2026 error -1 reading relation 202316908
  47. Sun Jun 7 12:34:17 2026 error -1 reading relation 234735999
  48. Sun Jun 7 12:35:22 2026 error -1 reading relation 246694920
  49. Sun Jun 7 12:35:40 2026 error -1 reading relation 249764892
  50. Sun Jun 7 12:39:02 2026 error -1 reading relation 288105891
  51. Sun Jun 7 12:40:00 2026 error -1 reading relation 298909802
  52. Sun Jun 7 12:40:32 2026 error -1 reading relation 304976662
  53. Sun Jun 7 12:40:50 2026 error -1 reading relation 308617408
  54. Sun Jun 7 12:41:25 2026 error -1 reading relation 315009733
  55. Sun Jun 7 12:41:58 2026 error -1 reading relation 321282527
  56. Sun Jun 7 12:42:16 2026 error -1 reading relation 324408506
  57. Sun Jun 7 12:42:30 2026 error -1 reading relation 327034020
  58. Sun Jun 7 12:45:55 2026 error -1 reading relation 365863534
  59. Sun Jun 7 12:46:04 2026 error -1 reading relation 367747738
  60. Sun Jun 7 12:46:24 2026 error -1 reading relation 371277444
  61. Sun Jun 7 12:46:40 2026 error -1 reading relation 374719776
  62. Sun Jun 7 12:46:42 2026 error -1 reading relation 375216421
  63. Sun Jun 7 12:47:27 2026 error -1 reading relation 384045476
  64. Sun Jun 7 12:48:32 2026 error -1 reading relation 396419965
  65. Sun Jun 7 12:48:54 2026 error -11 reading relation 400138506
  66. Sun Jun 7 12:49:14 2026 error -1 reading relation 404302811
  67. Sun Jun 7 12:51:53 2026 error -1 reading relation 435415851
  68. Sun Jun 7 12:55:11 2026 error -1 reading relation 477964946
  69. Sun Jun 7 12:55:22 2026 error -1 reading relation 480441841
  70. Sun Jun 7 12:55:41 2026 error -1 reading relation 484794274
  71. Sun Jun 7 12:57:25 2026 error -1 reading relation 507449954
  72. Sun Jun 7 12:57:51 2026 error -1 reading relation 512764028
  73. Sun Jun 7 12:58:07 2026 error -1 reading relation 515822470
  74. Sun Jun 7 12:58:13 2026 error -1 reading relation 517428347
  75. Sun Jun 7 12:58:26 2026 error -1 reading relation 520268534
  76. Sun Jun 7 12:58:30 2026 error -1 reading relation 521135627
  77. Sun Jun 7 12:59:24 2026 error -1 reading relation 532565176
  78. Sun Jun 7 12:59:27 2026 error -1 reading relation 533135092
  79. Sun Jun 7 12:59:44 2026 error -1 reading relation 537007343
  80. Sun Jun 7 12:59:52 2026 error -1 reading relation 538137983
  81. Sun Jun 7 12:59:54 2026 error -1 reading relation 538725855
  82. Sun Jun 7 13:00:06 2026 error -1 reading relation 541344837
  83. Sun Jun 7 13:00:30 2026 error -1 reading relation 546211231
  84. Sun Jun 7 13:01:50 2026 error -1 reading relation 563364768
  85. Sun Jun 7 13:02:42 2026 error -15 reading relation 574733146
  86. Sun Jun 7 13:03:03 2026 error -1 reading relation 578977788
  87. Sun Jun 7 13:03:38 2026 error -1 reading relation 586456361
  88. Sun Jun 7 13:03:59 2026 error -1 reading relation 590782058
  89. Sun Jun 7 13:04:37 2026 error -1 reading relation 598923367
  90. Sun Jun 7 13:04:39 2026 error -1 reading relation 599415922
  91. Sun Jun 7 13:04:41 2026 error -11 reading relation 599709451
  92. Sun Jun 7 13:04:43 2026 error -1 reading relation 600214635
  93. Sun Jun 7 13:04:49 2026 error -1 reading relation 601710544
  94. Sun Jun 7 13:04:50 2026 error -1 reading relation 601934635
  95. Sun Jun 7 13:05:12 2026 error -1 reading relation 606395335
  96. Sun Jun 7 13:07:38 2026 error -1 reading relation 637161555
  97. Sun Jun 7 13:07:46 2026 error -1 reading relation 638817540
  98. Sun Jun 7 13:07:46 2026 error -1 reading relation 638876848
  99. Sun Jun 7 13:07:50 2026 error -1 reading relation 639755781
  100. Sun Jun 7 13:07:53 2026 error -1 reading relation 640469281
  101. Sun Jun 7 13:08:16 2026 error -1 reading relation 645040753
  102. Sun Jun 7 13:08:26 2026 error -1 reading relation 647369261
  103. Sun Jun 7 13:08:35 2026 error -1 reading relation 649452743
  104. Sun Jun 7 13:08:56 2026 error -1 reading relation 653271258
  105. Sun Jun 7 13:09:13 2026 error -15 reading relation 657240778
  106. Sun Jun 7 13:09:42 2026 error -1 reading relation 663356058
  107. Sun Jun 7 13:10:15 2026 error -1 reading relation 670160449
  108. Sun Jun 7 13:10:29 2026 error -1 reading relation 673507541
  109. Sun Jun 7 13:10:46 2026 skipped 5 relations with composite factors
  110. Sun Jun 7 13:10:46 2026 skipped 556 malformed relations
  111. Sun Jun 7 13:10:46 2026 found 141804802 hash collisions in 676907034 relations
  112. Sun Jun 7 13:11:01 2026 added 122062 free relations
  113. Sun Jun 7 13:11:01 2026 commencing duplicate removal, pass 2
  114. Sun Jun 7 13:23:19 2026 found 151403240 duplicates and 525625856 unique relations
  115. Sun Jun 7 13:23:19 2026 memory use: 3411.0 MB
  116. Sun Jun 7 13:23:19 2026 reading ideals above 289734656
  117. Sun Jun 7 13:23:19 2026 commencing singleton removal, initial pass
  118. Sun Jun 7 14:13:22 2026 memory use: 11024.0 MB
  119. Sun Jun 7 14:13:23 2026 reading all ideals from disk
  120. Sun Jun 7 14:13:35 2026 memory use: 13631.4 MB
  121. Sun Jun 7 14:13:59 2026 commencing in-memory singleton removal
  122. Sun Jun 7 14:14:09 2026 begin with 525625856 relations and 448331656 unique ideals
  123. Sun Jun 7 14:15:29 2026 reduce to 333172721 relations and 236338581 ideals in 16 passes
  124. Sun Jun 7 14:15:29 2026 max relations containing the same ideal: 32
  125. Sun Jun 7 14:15:40 2026 reading ideals above 720000
  126. Sun Jun 7 14:15:41 2026 commencing singleton removal, initial pass
  127. Sun Jun 7 15:03:48 2026 memory use: 6024.0 MB
  128. Sun Jun 7 15:03:49 2026 reading all ideals from disk
  129. Sun Jun 7 15:04:07 2026 memory use: 16448.6 MB
  130. Sun Jun 7 15:04:48 2026 keeping 266090862 ideals with weight <= 200, target excess is 1701416
  131. Sun Jun 7 15:05:41 2026 commencing in-memory singleton removal
  132. Sun Jun 7 15:05:52 2026 begin with 333172721 relations and 266090862 unique ideals
  133. Sun Jun 7 15:06:37 2026 reduce to 333166859 relations and 266085000 ideals in 6 passes
  134. Sun Jun 7 15:06:37 2026 max relations containing the same ideal: 200
  135. Sun Jun 7 15:09:43 2026 removing 13591820 relations and 11591820 ideals in 2000000 cliques
  136. Sun Jun 7 15:09:49 2026 commencing in-memory singleton removal
  137. Sun Jun 7 15:10:00 2026 begin with 319575039 relations and 266085000 unique ideals
  138. Sun Jun 7 15:10:50 2026 reduce to 319166766 relations and 254081648 ideals in 7 passes
  139. Sun Jun 7 15:10:50 2026 max relations containing the same ideal: 200
  140. Sun Jun 7 15:13:47 2026 removing 10282787 relations and 8282788 ideals in 2000000 cliques
  141. Sun Jun 7 15:13:54 2026 commencing in-memory singleton removal
  142. Sun Jun 7 15:14:01 2026 begin with 308883979 relations and 254081648 unique ideals
  143. Sun Jun 7 15:14:49 2026 reduce to 308623798 relations and 245536811 ideals in 7 passes
  144. Sun Jun 7 15:14:49 2026 max relations containing the same ideal: 198
  145. Sun Jun 7 15:17:44 2026 removing 9234302 relations and 7234302 ideals in 2000000 cliques
  146. Sun Jun 7 15:17:51 2026 commencing in-memory singleton removal
  147. Sun Jun 7 15:17:58 2026 begin with 299389496 relations and 245536811 unique ideals
  148. Sun Jun 7 15:18:52 2026 reduce to 299168201 relations and 238079679 ideals in 7 passes
  149. Sun Jun 7 15:18:52 2026 max relations containing the same ideal: 195
  150. Sun Jun 7 15:21:41 2026 removing 8648461 relations and 6648461 ideals in 2000000 cliques
  151. Sun Jun 7 15:21:47 2026 commencing in-memory singleton removal
  152. Sun Jun 7 15:21:53 2026 begin with 290519740 relations and 238079679 unique ideals
  153. Sun Jun 7 15:22:41 2026 reduce to 290316877 relations and 231227043 ideals in 7 passes
  154. Sun Jun 7 15:22:41 2026 max relations containing the same ideal: 192
  155. Sun Jun 7 15:25:46 2026 removing 8250922 relations and 6250922 ideals in 2000000 cliques
  156. Sun Jun 7 15:25:54 2026 commencing in-memory singleton removal
  157. Sun Jun 7 15:26:04 2026 begin with 282065955 relations and 231227043 unique ideals
  158. Sun Jun 7 15:26:51 2026 reduce to 281873813 relations and 224782759 ideals in 7 passes
  159. Sun Jun 7 15:26:51 2026 max relations containing the same ideal: 190
  160. Sun Jun 7 15:29:28 2026 removing 7969243 relations and 5969243 ideals in 2000000 cliques
  161. Sun Jun 7 15:29:37 2026 commencing in-memory singleton removal
  162. Sun Jun 7 15:29:44 2026 begin with 273904570 relations and 224782759 unique ideals
  163. Sun Jun 7 15:30:22 2026 reduce to 273720143 relations and 218627867 ideals in 6 passes
  164. Sun Jun 7 15:30:22 2026 max relations containing the same ideal: 188
  165. Sun Jun 7 15:32:56 2026 removing 7753200 relations and 5753200 ideals in 2000000 cliques
  166. Sun Jun 7 15:33:04 2026 commencing in-memory singleton removal
  167. Sun Jun 7 15:33:11 2026 begin with 265966943 relations and 218627867 unique ideals
  168. Sun Jun 7 15:33:46 2026 reduce to 265786512 relations and 212692956 ideals in 6 passes
  169. Sun Jun 7 15:33:46 2026 max relations containing the same ideal: 183
  170. Sun Jun 7 15:36:17 2026 removing 7583519 relations and 5583519 ideals in 2000000 cliques
  171. Sun Jun 7 15:36:22 2026 commencing in-memory singleton removal
  172. Sun Jun 7 15:36:28 2026 begin with 258202993 relations and 212692956 unique ideals
  173. Sun Jun 7 15:37:08 2026 reduce to 258026403 relations and 206931570 ideals in 7 passes
  174. Sun Jun 7 15:37:08 2026 max relations containing the same ideal: 180
  175. Sun Jun 7 15:39:42 2026 removing 7448621 relations and 5448621 ideals in 2000000 cliques
  176. Sun Jun 7 15:39:47 2026 commencing in-memory singleton removal
  177. Sun Jun 7 15:39:53 2026 begin with 250577782 relations and 206931570 unique ideals
  178. Sun Jun 7 15:40:36 2026 reduce to 250401853 relations and 201305671 ideals in 7 passes
  179. Sun Jun 7 15:40:36 2026 max relations containing the same ideal: 176
  180. Sun Jun 7 15:42:58 2026 removing 7340775 relations and 5340775 ideals in 2000000 cliques
  181. Sun Jun 7 15:43:03 2026 commencing in-memory singleton removal
  182. Sun Jun 7 15:43:09 2026 begin with 243061078 relations and 201305671 unique ideals
  183. Sun Jun 7 15:43:43 2026 reduce to 242884900 relations and 195787393 ideals in 6 passes
  184. Sun Jun 7 15:43:43 2026 max relations containing the same ideal: 172
  185. Sun Jun 7 15:46:02 2026 removing 7254103 relations and 5254103 ideals in 2000000 cliques
  186. Sun Jun 7 15:46:10 2026 commencing in-memory singleton removal
  187. Sun Jun 7 15:46:15 2026 begin with 235630797 relations and 195787393 unique ideals
  188. Sun Jun 7 15:46:48 2026 reduce to 235454252 relations and 190355341 ideals in 6 passes
  189. Sun Jun 7 15:46:48 2026 max relations containing the same ideal: 170
  190. Sun Jun 7 15:49:08 2026 removing 7183194 relations and 5183194 ideals in 2000000 cliques
  191. Sun Jun 7 15:49:13 2026 commencing in-memory singleton removal
  192. Sun Jun 7 15:49:18 2026 begin with 228271058 relations and 190355341 unique ideals
  193. Sun Jun 7 15:49:51 2026 reduce to 228093296 relations and 184992959 ideals in 6 passes
  194. Sun Jun 7 15:49:51 2026 max relations containing the same ideal: 166
  195. Sun Jun 7 15:52:03 2026 removing 7125294 relations and 5125294 ideals in 2000000 cliques
  196. Sun Jun 7 15:52:08 2026 commencing in-memory singleton removal
  197. Sun Jun 7 15:52:14 2026 begin with 220968002 relations and 184992959 unique ideals
  198. Sun Jun 7 15:52:46 2026 reduce to 220787669 relations and 179685803 ideals in 6 passes
  199. Sun Jun 7 15:52:46 2026 max relations containing the same ideal: 164
  200. Sun Jun 7 15:55:00 2026 removing 7083004 relations and 5083004 ideals in 2000000 cliques
  201. Sun Jun 7 15:55:05 2026 commencing in-memory singleton removal
  202. Sun Jun 7 15:55:10 2026 begin with 213704665 relations and 179685803 unique ideals
  203. Sun Jun 7 15:55:38 2026 reduce to 213521593 relations and 174418129 ideals in 6 passes
  204. Sun Jun 7 15:55:38 2026 max relations containing the same ideal: 159
  205. Sun Jun 7 15:57:44 2026 removing 7044255 relations and 5044255 ideals in 2000000 cliques
  206. Sun Jun 7 15:57:49 2026 commencing in-memory singleton removal
  207. Sun Jun 7 15:57:55 2026 begin with 206477338 relations and 174418129 unique ideals
  208. Sun Jun 7 15:58:25 2026 reduce to 206289413 relations and 169184213 ideals in 7 passes
  209. Sun Jun 7 15:58:25 2026 max relations containing the same ideal: 157
  210. Sun Jun 7 16:00:49 2026 removing 7018200 relations and 5018200 ideals in 2000000 cliques
  211. Sun Jun 7 16:00:54 2026 commencing in-memory singleton removal
  212. Sun Jun 7 16:01:03 2026 begin with 199271213 relations and 169184213 unique ideals
  213. Sun Jun 7 16:01:27 2026 reduce to 199079395 relations and 163972377 ideals in 6 passes
  214. Sun Jun 7 16:01:27 2026 max relations containing the same ideal: 155
  215. Sun Jun 7 16:03:42 2026 removing 7002705 relations and 5002705 ideals in 2000000 cliques
  216. Sun Jun 7 16:03:46 2026 commencing in-memory singleton removal
  217. Sun Jun 7 16:03:54 2026 begin with 192076690 relations and 163972377 unique ideals
  218. Sun Jun 7 16:04:23 2026 reduce to 191880242 relations and 158771264 ideals in 7 passes
  219. Sun Jun 7 16:04:23 2026 max relations containing the same ideal: 150
  220. Sun Jun 7 16:06:24 2026 removing 6987075 relations and 4987075 ideals in 2000000 cliques
  221. Sun Jun 7 16:06:29 2026 commencing in-memory singleton removal
  222. Sun Jun 7 16:06:34 2026 begin with 184893167 relations and 158771264 unique ideals
  223. Sun Jun 7 16:07:05 2026 reduce to 184689608 relations and 153578522 ideals in 7 passes
  224. Sun Jun 7 16:07:05 2026 max relations containing the same ideal: 146
  225. Sun Jun 7 16:09:08 2026 removing 6985466 relations and 4985466 ideals in 2000000 cliques
  226. Sun Jun 7 16:09:13 2026 commencing in-memory singleton removal
  227. Sun Jun 7 16:09:18 2026 begin with 177704142 relations and 153578522 unique ideals
  228. Sun Jun 7 16:09:49 2026 reduce to 177493161 relations and 148379789 ideals in 7 passes
  229. Sun Jun 7 16:09:49 2026 max relations containing the same ideal: 142
  230. Sun Jun 7 16:12:28 2026 removing 6988854 relations and 4988854 ideals in 2000000 cliques
  231. Sun Jun 7 16:12:34 2026 commencing in-memory singleton removal
  232. Sun Jun 7 16:12:39 2026 begin with 170504307 relations and 148379789 unique ideals
  233. Sun Jun 7 16:13:09 2026 reduce to 170286099 relations and 143170344 ideals in 6 passes
  234. Sun Jun 7 16:13:09 2026 max relations containing the same ideal: 141
  235. Sun Jun 7 16:15:47 2026 removing 6998209 relations and 4998209 ideals in 2000000 cliques
  236. Sun Jun 7 16:15:55 2026 commencing in-memory singleton removal
  237. Sun Jun 7 16:15:59 2026 begin with 163287890 relations and 143170344 unique ideals
  238. Sun Jun 7 16:16:36 2026 reduce to 163060398 relations and 137942054 ideals in 8 passes
  239. Sun Jun 7 16:16:36 2026 max relations containing the same ideal: 134
  240. Sun Jun 7 16:18:59 2026 removing 7019701 relations and 5019701 ideals in 2000000 cliques
  241. Sun Jun 7 16:19:09 2026 commencing in-memory singleton removal
  242. Sun Jun 7 16:19:14 2026 begin with 156040697 relations and 137942054 unique ideals
  243. Sun Jun 7 16:19:43 2026 reduce to 155801937 relations and 132680701 ideals in 6 passes
  244. Sun Jun 7 16:19:43 2026 max relations containing the same ideal: 130
  245. Sun Jun 7 16:22:11 2026 removing 7045439 relations and 5045439 ideals in 2000000 cliques
  246. Sun Jun 7 16:22:15 2026 commencing in-memory singleton removal
  247. Sun Jun 7 16:22:19 2026 begin with 148756498 relations and 132680701 unique ideals
  248. Sun Jun 7 16:22:44 2026 reduce to 148506325 relations and 127382057 ideals in 7 passes
  249. Sun Jun 7 16:22:44 2026 max relations containing the same ideal: 126
  250. Sun Jun 7 16:24:34 2026 removing 7077211 relations and 5077211 ideals in 2000000 cliques
  251. Sun Jun 7 16:24:38 2026 commencing in-memory singleton removal
  252. Sun Jun 7 16:24:41 2026 begin with 141429114 relations and 127382057 unique ideals
  253. Sun Jun 7 16:25:04 2026 reduce to 141164133 relations and 122036490 ideals in 7 passes
  254. Sun Jun 7 16:25:04 2026 max relations containing the same ideal: 121
  255. Sun Jun 7 16:26:53 2026 removing 7122135 relations and 5122135 ideals in 2000000 cliques
  256. Sun Jun 7 16:26:57 2026 commencing in-memory singleton removal
  257. Sun Jun 7 16:27:01 2026 begin with 134041998 relations and 122036490 unique ideals
  258. Sun Jun 7 16:27:25 2026 reduce to 133759568 relations and 116628190 ideals in 8 passes
  259. Sun Jun 7 16:27:25 2026 max relations containing the same ideal: 118
  260. Sun Jun 7 16:28:56 2026 removing 7178827 relations and 5178827 ideals in 2000000 cliques
  261. Sun Jun 7 16:29:00 2026 commencing in-memory singleton removal
  262. Sun Jun 7 16:29:05 2026 begin with 126580741 relations and 116628190 unique ideals
  263. Sun Jun 7 16:29:24 2026 reduce to 126279742 relations and 111144219 ideals in 7 passes
  264. Sun Jun 7 16:29:24 2026 max relations containing the same ideal: 112
  265. Sun Jun 7 16:30:45 2026 removing 7239957 relations and 5239957 ideals in 2000000 cliques
  266. Sun Jun 7 16:30:51 2026 commencing in-memory singleton removal
  267. Sun Jun 7 16:30:54 2026 begin with 119039785 relations and 111144219 unique ideals
  268. Sun Jun 7 16:31:13 2026 reduce to 118716124 relations and 105575908 ideals in 7 passes
  269. Sun Jun 7 16:31:13 2026 max relations containing the same ideal: 107
  270. Sun Jun 7 16:32:58 2026 removing 7319546 relations and 5319546 ideals in 2000000 cliques
  271. Sun Jun 7 16:33:04 2026 commencing in-memory singleton removal
  272. Sun Jun 7 16:33:10 2026 begin with 111396578 relations and 105575908 unique ideals
  273. Sun Jun 7 16:33:28 2026 reduce to 111045179 relations and 99899674 ideals in 7 passes
  274. Sun Jun 7 16:33:28 2026 max relations containing the same ideal: 103
  275. Sun Jun 7 16:34:50 2026 removing 7414049 relations and 5414049 ideals in 2000000 cliques
  276. Sun Jun 7 16:34:57 2026 commencing in-memory singleton removal
  277. Sun Jun 7 16:34:59 2026 begin with 103631130 relations and 99899674 unique ideals
  278. Sun Jun 7 16:35:16 2026 reduce to 103244714 relations and 94093041 ideals in 7 passes
  279. Sun Jun 7 16:35:16 2026 max relations containing the same ideal: 98
  280. Sun Jun 7 16:36:31 2026 removing 7525082 relations and 5525082 ideals in 2000000 cliques
  281. Sun Jun 7 16:36:35 2026 commencing in-memory singleton removal
  282. Sun Jun 7 16:36:40 2026 begin with 95719632 relations and 94093041 unique ideals
  283. Sun Jun 7 16:36:57 2026 reduce to 95288697 relations and 88129889 ideals in 8 passes
  284. Sun Jun 7 16:36:57 2026 max relations containing the same ideal: 92
  285. Sun Jun 7 16:38:18 2026 removing 7665717 relations and 5665717 ideals in 2000000 cliques
  286. Sun Jun 7 16:38:25 2026 commencing in-memory singleton removal
  287. Sun Jun 7 16:38:27 2026 begin with 87622980 relations and 88129889 unique ideals
  288. Sun Jun 7 16:38:44 2026 reduce to 87139570 relations and 81972151 ideals in 9 passes
  289. Sun Jun 7 16:38:44 2026 max relations containing the same ideal: 88
  290. Sun Jun 7 16:39:42 2026 removing 7823659 relations and 5823659 ideals in 2000000 cliques
  291. Sun Jun 7 16:39:45 2026 commencing in-memory singleton removal
  292. Sun Jun 7 16:39:47 2026 begin with 79315911 relations and 81972151 unique ideals
  293. Sun Jun 7 16:40:00 2026 reduce to 78760958 relations and 75582706 ideals in 8 passes
  294. Sun Jun 7 16:40:00 2026 max relations containing the same ideal: 81
  295. Sun Jun 7 16:40:56 2026 removing 5350318 relations and 4145709 ideals in 1204609 cliques
  296. Sun Jun 7 16:40:59 2026 commencing in-memory singleton removal
  297. Sun Jun 7 16:41:00 2026 begin with 73410640 relations and 75582706 unique ideals
  298. Sun Jun 7 16:41:11 2026 reduce to 73134638 relations and 71157469 ideals in 7 passes
  299. Sun Jun 7 16:41:11 2026 max relations containing the same ideal: 77
  300. Sun Jun 7 16:42:18 2026 trying target density 80
  301. Sun Jun 7 16:42:26 2026 relations with 0 large ideals: 6238
  302. Sun Jun 7 16:42:26 2026 relations with 1 large ideals: 32397
  303. Sun Jun 7 16:42:26 2026 relations with 2 large ideals: 467728
  304. Sun Jun 7 16:42:26 2026 relations with 3 large ideals: 2821429
  305. Sun Jun 7 16:42:26 2026 relations with 4 large ideals: 9039772
  306. Sun Jun 7 16:42:26 2026 relations with 5 large ideals: 17115575
  307. Sun Jun 7 16:42:26 2026 relations with 6 large ideals: 20111357
  308. Sun Jun 7 16:42:26 2026 relations with 7+ large ideals: 23540142
  309. Sun Jun 7 16:42:26 2026 commencing 2-way merge
  310. Sun Jun 7 16:43:44 2026 reduce to 45064744 relation sets and 43087575 unique ideals
  311. Sun Jun 7 16:43:44 2026 commencing full merge
  312. Sun Jun 7 17:01:30 2026 memory use: 5026.3 MB
  313. Sun Jun 7 17:01:40 2026 found 23531754 cycles, need 23257775
  314. Sun Jun 7 17:01:52 2026 weight of 23257775 cycles is about 1860984818 (80.02/cycle)
  315. Sun Jun 7 17:01:52 2026 distribution of cycle lengths:
  316. Sun Jun 7 17:01:52 2026 1 relations: 2777076
  317. Sun Jun 7 17:01:52 2026 2 relations: 2541710
  318. Sun Jun 7 17:01:52 2026 3 relations: 2576897
  319. Sun Jun 7 17:01:52 2026 4 relations: 2468172
  320. Sun Jun 7 17:01:52 2026 5 relations: 2414754
  321. Sun Jun 7 17:01:52 2026 6 relations: 2196060
  322. Sun Jun 7 17:01:52 2026 7 relations: 1969474
  323. Sun Jun 7 17:01:52 2026 8 relations: 1670481
  324. Sun Jun 7 17:01:52 2026 9 relations: 1354255
  325. Sun Jun 7 17:01:52 2026 10+ relations: 3288896
  326. Sun Jun 7 17:01:52 2026 heaviest cycle: 18 relations
  327. Sun Jun 7 17:01:59 2026 commencing cycle optimization
  328. Sun Jun 7 17:02:56 2026 start with 128402027 relations
  329. Sun Jun 7 17:07:54 2026 pruned 3142939 relations
  330. Sun Jun 7 17:08:01 2026 memory use: 4299.7 MB
  331. Sun Jun 7 17:08:01 2026 distribution of cycle lengths:
  332. Sun Jun 7 17:08:01 2026 1 relations: 2777076
  333. Sun Jun 7 17:08:01 2026 2 relations: 2597272
  334. Sun Jun 7 17:08:01 2026 3 relations: 2662231
  335. Sun Jun 7 17:08:01 2026 4 relations: 2534980
  336. Sun Jun 7 17:08:01 2026 5 relations: 2483635
  337. Sun Jun 7 17:08:01 2026 6 relations: 2246304
  338. Sun Jun 7 17:08:01 2026 7 relations: 2004919
  339. Sun Jun 7 17:08:01 2026 8 relations: 1675820
  340. Sun Jun 7 17:08:01 2026 9 relations: 1339066
  341. Sun Jun 7 17:08:01 2026 10+ relations: 2936472
  342. Sun Jun 7 17:08:01 2026 heaviest cycle: 18 relations
  343. Sun Jun 7 17:09:22 2026 trying target density 100
  344. Sun Jun 7 17:09:30 2026 relations with 0 large ideals: 6238
  345. Sun Jun 7 17:09:30 2026 relations with 1 large ideals: 32397
  346. Sun Jun 7 17:09:30 2026 relations with 2 large ideals: 467728
  347. Sun Jun 7 17:09:30 2026 relations with 3 large ideals: 2821429
  348. Sun Jun 7 17:09:30 2026 relations with 4 large ideals: 9039772
  349. Sun Jun 7 17:09:30 2026 relations with 5 large ideals: 17115575
  350. Sun Jun 7 17:09:30 2026 relations with 6 large ideals: 20111357
  351. Sun Jun 7 17:09:30 2026 relations with 7+ large ideals: 23540142
  352. Sun Jun 7 17:09:30 2026 commencing 2-way merge
  353. Sun Jun 7 17:10:34 2026 reduce to 45064744 relation sets and 43087575 unique ideals
  354. Sun Jun 7 17:10:34 2026 commencing full merge
  355. Sun Jun 7 17:33:21 2026 memory use: 5183.9 MB
  356. Sun Jun 7 17:33:33 2026 found 21721015 cycles, need 21461775
  357. Sun Jun 7 17:33:43 2026 weight of 21461775 cycles is about 2146315243 (100.01/cycle)
  358. Sun Jun 7 17:33:44 2026 distribution of cycle lengths:
  359. Sun Jun 7 17:33:44 2026 1 relations: 1904525
  360. Sun Jun 7 17:33:44 2026 2 relations: 1815705
  361. Sun Jun 7 17:33:44 2026 3 relations: 1889754
  362. Sun Jun 7 17:33:44 2026 4 relations: 1858478
  363. Sun Jun 7 17:33:44 2026 5 relations: 1873864
  364. Sun Jun 7 17:33:44 2026 6 relations: 1800529
  365. Sun Jun 7 17:33:44 2026 7 relations: 1719631
  366. Sun Jun 7 17:33:44 2026 8 relations: 1579435
  367. Sun Jun 7 17:33:44 2026 9 relations: 1411198
  368. Sun Jun 7 17:33:44 2026 10+ relations: 5608656
  369. Sun Jun 7 17:33:44 2026 heaviest cycle: 23 relations
  370. Sun Jun 7 17:33:55 2026 commencing cycle optimization
  371. Sun Jun 7 17:35:02 2026 start with 147728196 relations
  372. Sun Jun 7 17:41:55 2026 pruned 4838868 relations
  373. Sun Jun 7 17:42:01 2026 memory use: 4504.8 MB
  374. Sun Jun 7 17:42:02 2026 distribution of cycle lengths:
  375. Sun Jun 7 17:42:02 2026 1 relations: 1904525
  376. Sun Jun 7 17:42:02 2026 2 relations: 1859880
  377. Sun Jun 7 17:42:02 2026 3 relations: 1959971
  378. Sun Jun 7 17:42:02 2026 4 relations: 1920890
  379. Sun Jun 7 17:42:02 2026 5 relations: 1945427
  380. Sun Jun 7 17:42:02 2026 6 relations: 1864434
  381. Sun Jun 7 17:42:02 2026 7 relations: 1780716
  382. Sun Jun 7 17:42:02 2026 8 relations: 1622043
  383. Sun Jun 7 17:42:02 2026 9 relations: 1440972
  384. Sun Jun 7 17:42:02 2026 10+ relations: 5162917
  385. Sun Jun 7 17:42:02 2026 heaviest cycle: 23 relations
  386. Sun Jun 7 17:43:21 2026 trying target density 120
  387. Sun Jun 7 17:43:29 2026 relations with 0 large ideals: 6238
  388. Sun Jun 7 17:43:29 2026 relations with 1 large ideals: 32397
  389. Sun Jun 7 17:43:29 2026 relations with 2 large ideals: 467728
  390. Sun Jun 7 17:43:29 2026 relations with 3 large ideals: 2821429
  391. Sun Jun 7 17:43:29 2026 relations with 4 large ideals: 9039772
  392. Sun Jun 7 17:43:29 2026 relations with 5 large ideals: 17115575
  393. Sun Jun 7 17:43:29 2026 relations with 6 large ideals: 20111357
  394. Sun Jun 7 17:43:29 2026 relations with 7+ large ideals: 23540142
  395. Sun Jun 7 17:43:29 2026 commencing 2-way merge
  396. Sun Jun 7 17:44:39 2026 reduce to 45064744 relation sets and 43087575 unique ideals
  397. Sun Jun 7 17:44:39 2026 commencing full merge
  398. Sun Jun 7 18:09:48 2026 memory use: 5308.1 MB
  399. Sun Jun 7 18:10:01 2026 found 20403405 cycles, need 20209775
  400. Sun Jun 7 18:10:05 2026 weight of 20209775 cycles is about 2425393562 (120.01/cycle)
  401. Sun Jun 7 18:10:05 2026 distribution of cycle lengths:
  402. Sun Jun 7 18:10:05 2026 1 relations: 1356992
  403. Sun Jun 7 18:10:05 2026 2 relations: 1397766
  404. Sun Jun 7 18:10:05 2026 3 relations: 1465471
  405. Sun Jun 7 18:10:05 2026 4 relations: 1472345
  406. Sun Jun 7 18:10:05 2026 5 relations: 1496960
  407. Sun Jun 7 18:10:05 2026 6 relations: 1482749
  408. Sun Jun 7 18:10:05 2026 7 relations: 1446810
  409. Sun Jun 7 18:10:05 2026 8 relations: 1393500
  410. Sun Jun 7 18:10:05 2026 9 relations: 1311687
  411. Sun Jun 7 18:10:05 2026 10+ relations: 7385495
  412. Sun Jun 7 18:10:05 2026 heaviest cycle: 27 relations
  413. Sun Jun 7 18:10:12 2026 commencing cycle optimization
  414. Sun Jun 7 18:11:20 2026 start with 166328521 relations
  415. Sun Jun 7 18:20:13 2026 pruned 6619203 relations
  416. Sun Jun 7 18:20:14 2026 memory use: 4696.5 MB
  417. Sun Jun 7 18:20:14 2026 distribution of cycle lengths:
  418. Sun Jun 7 18:20:14 2026 1 relations: 1356992
  419. Sun Jun 7 18:20:14 2026 2 relations: 1432731
  420. Sun Jun 7 18:20:14 2026 3 relations: 1523294
  421. Sun Jun 7 18:20:14 2026 4 relations: 1526694
  422. Sun Jun 7 18:20:14 2026 5 relations: 1562595
  423. Sun Jun 7 18:20:14 2026 6 relations: 1546062
  424. Sun Jun 7 18:20:14 2026 7 relations: 1513855
  425. Sun Jun 7 18:20:14 2026 8 relations: 1451437
  426. Sun Jun 7 18:20:14 2026 9 relations: 1363213
  427. Sun Jun 7 18:20:14 2026 10+ relations: 6932902
  428. Sun Jun 7 18:20:14 2026 heaviest cycle: 27 relations
  429. Sun Jun 7 18:21:23 2026 RelProcTime: 21995
  430. Sun Jun 7 18:21:23 2026
  431. Sun Jun 7 18:21:23 2026 commencing linear algebra
  432. Sun Jun 7 18:21:23 2026 using VBITS=64
  433. Sun Jun 7 18:21:23 2026 building matrices for all densities
  434. Sun Jun 7 18:21:23 2026 found 3 density files
  435. Sun Jun 7 18:21:23 2026 building matrix for density 80
  436. Sun Jun 7 18:21:30 2026 read 23257775 cycles
  437. Sun Jun 7 18:22:35 2026 cycles contain 71901711 unique relations
  438. Sun Jun 7 18:40:17 2026 read 71901711 relations
  439. Sun Jun 7 18:41:17 2026 using 20 quadratic characters above 4294917295
  440. Sun Jun 7 18:42:03 2026 building initial matrix
  441. Sun Jun 7 18:59:20 2026 memory use: 10334.7 MB
  442. Sun Jun 7 18:59:32 2026 read 23257775 cycles
  443. Sun Jun 7 18:59:36 2026 matrix is 23257596 x 23257775 (7919.6 MB) with weight 2469826429 (106.19/col)
  444. Sun Jun 7 18:59:36 2026 sparse part has weight 1796991026 (77.26/col)
  445. Sun Jun 7 19:04:24 2026 filtering completed in 2 passes
  446. Sun Jun 7 19:04:33 2026 matrix is 23249728 x 23249906 (7919.0 MB) with weight 2469531097 (106.22/col)
  447. Sun Jun 7 19:04:33 2026 sparse part has weight 1796918575 (77.29/col)
  448. Sun Jun 7 19:05:31 2026 building matrix for density 100
  449. Sun Jun 7 19:05:34 2026 read 21461775 cycles
  450. Sun Jun 7 19:06:27 2026 cycles contain 71933121 unique relations
  451. Sun Jun 7 19:16:21 2026 read 71933121 relations
  452. Sun Jun 7 19:17:06 2026 using 20 quadratic characters above 4294917295
  453. Sun Jun 7 19:17:48 2026 building initial matrix
  454. Sun Jun 7 19:38:34 2026 memory use: 10350.9 MB
  455. Sun Jun 7 19:38:57 2026 read 21461775 cycles
  456. Sun Jun 7 19:39:01 2026 matrix is 21461597 x 21461775 (8764.4 MB) with weight 2704757898 (126.03/col)
  457. Sun Jun 7 19:39:01 2026 sparse part has weight 2039992861 (95.05/col)
  458. Sun Jun 7 19:44:31 2026 filtering completed in 2 passes
  459. Sun Jun 7 19:44:42 2026 matrix is 21458015 x 21458189 (8764.0 MB) with weight 2704596818 (126.04/col)
  460. Sun Jun 7 19:44:42 2026 sparse part has weight 2039944497 (95.07/col)
  461. Sun Jun 7 19:46:02 2026 building matrix for density 120
  462. Sun Jun 7 19:46:08 2026 read 20209775 cycles
  463. Sun Jun 7 19:47:21 2026 cycles contain 71946166 unique relations
  464. Sun Jun 7 20:05:33 2026 read 71946166 relations
  465. Sun Jun 7 20:06:42 2026 using 20 quadratic characters above 4294917295
  466. Sun Jun 7 20:07:27 2026 building initial matrix
  467. Sun Jun 7 20:29:22 2026 memory use: 10066.0 MB
  468. Sun Jun 7 20:30:26 2026 read 20209775 cycles
  469. Sun Jun 7 20:30:30 2026 matrix is 20209597 x 20209775 (9596.9 MB) with weight 2933399185 (145.15/col)
  470. Sun Jun 7 20:30:30 2026 sparse part has weight 2273243891 (112.48/col)
  471. Sun Jun 7 20:34:57 2026 filtering completed in 2 passes
  472. Sun Jun 7 20:35:04 2026 matrix is 20208055 x 20208233 (9596.7 MB) with weight 2933322794 (145.15/col)
  473. Sun Jun 7 20:35:04 2026 sparse part has weight 2273220228 (112.49/col)
  474. Sun Jun 7 20:36:13 2026 BLanczosTime: 8090
  475. Sun Jun 7 20:36:13 2026 elapsed time 08:21:25
  476. Mon Jun 8 03:00:55 2026
  477. Mon Jun 8 03:00:55 2026
  478. Mon Jun 8 03:00:55 2026 Msieve v. 1.54 (SVN unknown)
  479. Mon Jun 8 03:00:55 2026 random seeds: d01190ff 560c612a
  480. Mon Jun 8 03:00:55 2026 Using 8 OpenMP threads
  481. Mon Jun 8 03:00:55 2026 factoring 162742432490798717528859432613614878732828106692555184842238019080956864276230153048172808278663507410131343641381792519255191269072868785701872779027585559500988924192499553468238276603 (186 digits)
  482. Mon Jun 8 03:00:56 2026 no P-1/P+1/ECM available, skipping
  483. Mon Jun 8 03:00:56 2026 commencing number field sieve (186-digit input)
  484. Mon Jun 8 03:00:56 2026 R0: -979862271667990406605962158903688868
  485. Mon Jun 8 03:00:56 2026 R1: 177780839010363276604123
  486. Mon Jun 8 03:00:56 2026 A0: -107797650291584763816046225735923862634679390
  487. Mon Jun 8 03:00:56 2026 A1: -23079464729495475436340041164588059437
  488. Mon Jun 8 03:00:56 2026 A2: 1963055697275297061426037872672
  489. Mon Jun 8 03:00:56 2026 A3: 28378130937633551727925
  490. Mon Jun 8 03:00:56 2026 A4: -424757090734914
  491. Mon Jun 8 03:00:56 2026 A5: 1081080
  492. Mon Jun 8 03:00:56 2026 skew 46160235.10, size 4.995e-18, alpha -8.390, combined = 4.621e-14 rroots = 5
  493. Mon Jun 8 03:00:56 2026
  494. Mon Jun 8 03:00:56 2026 commencing linear algebra
  495. Mon Jun 8 03:00:56 2026 using VBITS=64
  496. Mon Jun 8 03:00:56 2026 skipping matrix build
  497. Mon Jun 8 03:01:08 2026 matrix starts at (0, 0)
  498. Mon Jun 8 03:01:12 2026 matrix is 20208055 x 20208233 (9596.7 MB) with weight 2933322794 (145.15/col)
  499. Mon Jun 8 03:01:12 2026 sparse part has weight 2273220228 (112.49/col)
  500. Mon Jun 8 03:01:12 2026 saving the first 48 matrix rows for later
  501. Mon Jun 8 03:01:17 2026 matrix includes 64 packed rows
  502. Mon Jun 8 03:01:21 2026 matrix is 20208007 x 20208233 (9333.6 MB) with weight 2504494825 (123.93/col)
  503. Mon Jun 8 03:01:21 2026 sparse part has weight 2244657124 (111.08/col)
  504. Mon Jun 8 03:01:21 2026 using GPU 0 (Tesla V100-SXM2-32GB)
  505. Mon Jun 8 03:01:21 2026 selected card has CUDA arch 7.0
  506. Mon Jun 8 03:06:35 2026 commencing Lanczos iteration
  507. Mon Jun 8 03:06:36 2026 memory use: 18667.1 MB
  508. Mon Jun 8 03:09:32 2026 checking every 10000 dimensions, checkpointing every 400000 dimensions
  509. Mon Jun 8 03:11:13 2026 linear algebra at 0.2%, ETA 50h59m
  510. Wed Jun 10 06:05:14 2026 lanczos halted after 319568 iterations (dim = 20208004)
  511. Wed Jun 10 06:05:47 2026 recovered 27 nontrivial dependencies
  512. Wed Jun 10 06:05:48 2026 BLanczosTime: 183892
  513. Wed Jun 10 06:05:48 2026 elapsed time 51:04:53
  514. Wed Jun 10 09:26:03 2026
  515. Wed Jun 10 09:26:03 2026
  516. Wed Jun 10 09:26:03 2026 Msieve v. 1.54 (SVN unknown)
  517. Wed Jun 10 09:26:03 2026 random seeds: db378c19 148ff572
  518. Wed Jun 10 09:26:03 2026 Using 8 OpenMP threads
  519. Wed Jun 10 09:26:03 2026 factoring 162742432490798717528859432613614878732828106692555184842238019080956864276230153048172808278663507410131343641381792519255191269072868785701872779027585559500988924192499553468238276603 (186 digits)
  520. Wed Jun 10 09:26:03 2026 no P-1/P+1/ECM available, skipping
  521. Wed Jun 10 09:26:03 2026 commencing number field sieve (186-digit input)
  522. Wed Jun 10 09:26:03 2026 R0: -979862271667990406605962158903688868
  523. Wed Jun 10 09:26:03 2026 R1: 177780839010363276604123
  524. Wed Jun 10 09:26:03 2026 A0: -107797650291584763816046225735923862634679390
  525. Wed Jun 10 09:26:03 2026 A1: -23079464729495475436340041164588059437
  526. Wed Jun 10 09:26:03 2026 A2: 1963055697275297061426037872672
  527. Wed Jun 10 09:26:03 2026 A3: 28378130937633551727925
  528. Wed Jun 10 09:26:03 2026 A4: -424757090734914
  529. Wed Jun 10 09:26:03 2026 A5: 1081080
  530. Wed Jun 10 09:26:03 2026 skew 46160235.10, size 4.995e-18, alpha -8.390, combined = 4.621e-14 rroots = 5
  531. Wed Jun 10 09:26:03 2026
  532. Wed Jun 10 09:26:03 2026 commencing square root phase
  533. Wed Jun 10 09:26:03 2026 reading relations for dependency 1
  534. Wed Jun 10 09:26:04 2026 read 10104055 cycles
  535. Wed Jun 10 09:26:18 2026 cycles contain 35973318 unique relations
  536. Wed Jun 10 09:29:25 2026 read 35973318 relations
  537. Wed Jun 10 09:31:42 2026 multiplying 35973318 relations
  538. Wed Jun 10 09:36:22 2026 multiply complete, coefficients have about 2170.44 million bits
  539. Wed Jun 10 09:36:27 2026 initial square root is modulo 73849
  540. Wed Jun 10 09:45:34 2026 sqrtTime: 1171
  541. Wed Jun 10 09:45:34 2026 p91 factor: 5448142395378191694781133086763829774198243763965542583833005217081085868713389260254598391
  542. Wed Jun 10 09:45:34 2026 p95 factor: 29871178225601734847939823843296757605332059442186780012336480733147806003249922534364457416733
  543. Wed Jun 10 09:45:34 2026 elapsed time 00:19:31
  544.  
Tags: math
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