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  1. Mon Sep 22 16:49:54 2025
  2. Mon Sep 22 16:49:54 2025
  3. Mon Sep 22 16:49:54 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Sep 22 16:49:54 2025 random seeds: 774ed1c4 1c4b8edc
  5. Mon Sep 22 16:49:54 2025 MPI process 0 of 1
  6. Mon Sep 22 16:49:54 2025 Using 64 OpenMP threads
  7. Mon Sep 22 16:49:54 2025 factoring 7577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (265 digits)
  8. Mon Sep 22 16:49:55 2025 no P-1/P+1/ECM available, skipping
  9. Mon Sep 22 16:49:55 2025 commencing number field sieve (265-digit input)
  10. Mon Sep 22 16:49:55 2025 R0: 100000000000000000000000000000000000000000000
  11. Mon Sep 22 16:49:55 2025 R1: -1
  12. Mon Sep 22 16:49:55 2025 A0: -35
  13. Mon Sep 22 16:49:55 2025 A1: 0
  14. Mon Sep 22 16:49:55 2025 A2: 0
  15. Mon Sep 22 16:49:55 2025 A3: 0
  16. Mon Sep 22 16:49:55 2025 A4: 0
  17. Mon Sep 22 16:49:55 2025 A5: 0
  18. Mon Sep 22 16:49:55 2025 A6: 341
  19. Mon Sep 22 16:49:55 2025 skew 0.89, size 2.171e-13, alpha 1.038, combined = 3.814e-14 rroots = 2
  20. Mon Sep 22 16:49:55 2025
  21. Mon Sep 22 16:49:55 2025 commencing relation filtering
  22. Mon Sep 22 16:49:55 2025 setting target matrix density to 110.0
  23. Mon Sep 22 16:49:55 2025 estimated available RAM is 1031760.2 MB
  24. Mon Sep 22 16:49:55 2025 commencing duplicate removal, pass 1
  25. Mon Sep 22 17:03:25 2025 skipped 8916 relations with b > 2^32
  26. Mon Sep 22 17:03:25 2025 skipped 4 relations with composite factors
  27. Mon Sep 22 17:03:25 2025 skipped 1156 malformed relations
  28. Mon Sep 22 17:03:25 2025 found 206049903 hash collisions in 954544849 relations
  29. Mon Sep 22 17:03:34 2025 added 1218929 free relations
  30. Mon Sep 22 17:03:34 2025 commencing duplicate removal, pass 2
  31. Mon Sep 22 17:15:52 2025 found 216908363 duplicates and 738855415 unique relations
  32. Mon Sep 22 17:15:52 2025 memory use: 5798.0 MB
  33. Mon Sep 22 17:15:52 2025 reading ideals above 720000
  34. Mon Sep 22 17:15:52 2025 commencing singleton removal, initial pass
  35. Mon Sep 22 17:42:32 2025 memory use: 11024.0 MB
  36. Mon Sep 22 17:42:32 2025 reading all ideals from disk
  37. Mon Sep 22 17:42:40 2025 memory use: 37134.1 MB
  38. Mon Sep 22 17:43:11 2025 keeping 630062117 ideals with weight <= 200, target excess is 3799047
  39. Mon Sep 22 17:43:57 2025 commencing in-memory singleton removal
  40. Mon Sep 22 17:43:59 2025 begin with 738855415 relations and 630062117 unique ideals
  41. Mon Sep 22 17:44:16 2025 reduce to 497503350 relations and 366998964 ideals in 13 passes
  42. Mon Sep 22 17:44:16 2025 max relations containing the same ideal: 164
  43. Mon Sep 22 17:45:25 2025 removing 12687463 relations and 10687463 ideals in 2000000 cliques
  44. Mon Sep 22 17:45:34 2025 commencing in-memory singleton removal
  45. Mon Sep 22 17:45:36 2025 begin with 484815887 relations and 366998964 unique ideals
  46. Mon Sep 22 17:45:42 2025 reduce to 484588609 relations and 356082926 ideals in 6 passes
  47. Mon Sep 22 17:45:42 2025 max relations containing the same ideal: 160
  48. Mon Sep 22 17:46:49 2025 removing 9681582 relations and 7681582 ideals in 2000000 cliques
  49. Mon Sep 22 17:46:58 2025 commencing in-memory singleton removal
  50. Mon Sep 22 17:46:59 2025 begin with 474907027 relations and 356082926 unique ideals
  51. Mon Sep 22 17:47:06 2025 reduce to 474758216 relations and 348251829 ideals in 7 passes
  52. Mon Sep 22 17:47:06 2025 max relations containing the same ideal: 158
  53. Mon Sep 22 17:48:10 2025 removing 8707679 relations and 6707679 ideals in 2000000 cliques
  54. Mon Sep 22 17:48:19 2025 commencing in-memory singleton removal
  55. Mon Sep 22 17:48:20 2025 begin with 466050537 relations and 348251829 unique ideals
  56. Mon Sep 22 17:48:27 2025 reduce to 465921449 relations and 341414495 ideals in 6 passes
  57. Mon Sep 22 17:48:27 2025 max relations containing the same ideal: 157
  58. Mon Sep 22 17:49:30 2025 removing 8140816 relations and 6140816 ideals in 2000000 cliques
  59. Mon Sep 22 17:49:38 2025 commencing in-memory singleton removal
  60. Mon Sep 22 17:49:39 2025 begin with 457780633 relations and 341414495 unique ideals
  61. Mon Sep 22 17:49:45 2025 reduce to 457663698 relations and 335156214 ideals in 6 passes
  62. Mon Sep 22 17:49:45 2025 max relations containing the same ideal: 155
  63. Mon Sep 22 17:50:44 2025 removing 7757786 relations and 5757786 ideals in 2000000 cliques
  64. Mon Sep 22 17:50:53 2025 commencing in-memory singleton removal
  65. Mon Sep 22 17:50:54 2025 begin with 449905912 relations and 335156214 unique ideals
  66. Mon Sep 22 17:51:00 2025 reduce to 449796715 relations and 329288713 ideals in 6 passes
  67. Mon Sep 22 17:51:00 2025 max relations containing the same ideal: 153
  68. Mon Sep 22 17:52:01 2025 removing 7474220 relations and 5474220 ideals in 2000000 cliques
  69. Mon Sep 22 17:52:09 2025 commencing in-memory singleton removal
  70. Mon Sep 22 17:52:10 2025 begin with 442322495 relations and 329288713 unique ideals
  71. Mon Sep 22 17:52:16 2025 reduce to 442218360 relations and 323709873 ideals in 6 passes
  72. Mon Sep 22 17:52:16 2025 max relations containing the same ideal: 153
  73. Mon Sep 22 17:53:16 2025 removing 7261123 relations and 5261123 ideals in 2000000 cliques
  74. Mon Sep 22 17:53:24 2025 commencing in-memory singleton removal
  75. Mon Sep 22 17:53:25 2025 begin with 434957237 relations and 323709873 unique ideals
  76. Mon Sep 22 17:53:31 2025 reduce to 434857636 relations and 318348661 ideals in 7 passes
  77. Mon Sep 22 17:53:31 2025 max relations containing the same ideal: 151
  78. Mon Sep 22 17:54:31 2025 removing 7090089 relations and 5090089 ideals in 2000000 cliques
  79. Mon Sep 22 17:54:39 2025 commencing in-memory singleton removal
  80. Mon Sep 22 17:54:40 2025 begin with 427767547 relations and 318348661 unique ideals
  81. Mon Sep 22 17:54:45 2025 reduce to 427669762 relations and 313160323 ideals in 6 passes
  82. Mon Sep 22 17:54:45 2025 max relations containing the same ideal: 150
  83. Mon Sep 22 17:55:43 2025 removing 6947177 relations and 4947177 ideals in 2000000 cliques
  84. Mon Sep 22 17:55:50 2025 commencing in-memory singleton removal
  85. Mon Sep 22 17:55:51 2025 begin with 420722585 relations and 313160323 unique ideals
  86. Mon Sep 22 17:55:57 2025 reduce to 420627517 relations and 308117625 ideals in 6 passes
  87. Mon Sep 22 17:55:57 2025 max relations containing the same ideal: 147
  88. Mon Sep 22 17:56:55 2025 removing 6830741 relations and 4830741 ideals in 2000000 cliques
  89. Mon Sep 22 17:57:02 2025 commencing in-memory singleton removal
  90. Mon Sep 22 17:57:03 2025 begin with 413796776 relations and 308117625 unique ideals
  91. Mon Sep 22 17:57:09 2025 reduce to 413703160 relations and 303192765 ideals in 7 passes
  92. Mon Sep 22 17:57:09 2025 max relations containing the same ideal: 146
  93. Mon Sep 22 17:58:06 2025 removing 6731362 relations and 4731362 ideals in 2000000 cliques
  94. Mon Sep 22 17:58:13 2025 commencing in-memory singleton removal
  95. Mon Sep 22 17:58:14 2025 begin with 406971798 relations and 303192765 unique ideals
  96. Mon Sep 22 17:58:19 2025 reduce to 406879697 relations and 298368787 ideals in 6 passes
  97. Mon Sep 22 17:58:19 2025 max relations containing the same ideal: 144
  98. Mon Sep 22 17:59:15 2025 removing 6642856 relations and 4642856 ideals in 2000000 cliques
  99. Mon Sep 22 17:59:22 2025 commencing in-memory singleton removal
  100. Mon Sep 22 17:59:23 2025 begin with 400236841 relations and 298368787 unique ideals
  101. Mon Sep 22 17:59:28 2025 reduce to 400145098 relations and 293633691 ideals in 6 passes
  102. Mon Sep 22 17:59:28 2025 max relations containing the same ideal: 144
  103. Mon Sep 22 18:00:23 2025 removing 6570896 relations and 4570896 ideals in 2000000 cliques
  104. Mon Sep 22 18:00:30 2025 commencing in-memory singleton removal
  105. Mon Sep 22 18:00:31 2025 begin with 393574202 relations and 293633691 unique ideals
  106. Mon Sep 22 18:00:36 2025 reduce to 393483319 relations and 288971396 ideals in 6 passes
  107. Mon Sep 22 18:00:36 2025 max relations containing the same ideal: 144
  108. Mon Sep 22 18:01:30 2025 removing 6502012 relations and 4502012 ideals in 2000000 cliques
  109. Mon Sep 22 18:01:37 2025 commencing in-memory singleton removal
  110. Mon Sep 22 18:01:38 2025 begin with 386981307 relations and 288971396 unique ideals
  111. Mon Sep 22 18:01:43 2025 reduce to 386890546 relations and 284378118 ideals in 6 passes
  112. Mon Sep 22 18:01:43 2025 max relations containing the same ideal: 144
  113. Mon Sep 22 18:02:36 2025 removing 6445356 relations and 4445356 ideals in 2000000 cliques
  114. Mon Sep 22 18:02:43 2025 commencing in-memory singleton removal
  115. Mon Sep 22 18:02:44 2025 begin with 380445190 relations and 284378118 unique ideals
  116. Mon Sep 22 18:02:49 2025 reduce to 380354262 relations and 279841297 ideals in 5 passes
  117. Mon Sep 22 18:02:49 2025 max relations containing the same ideal: 143
  118. Mon Sep 22 18:03:42 2025 removing 6396836 relations and 4396836 ideals in 2000000 cliques
  119. Mon Sep 22 18:03:48 2025 commencing in-memory singleton removal
  120. Mon Sep 22 18:03:49 2025 begin with 373957426 relations and 279841297 unique ideals
  121. Mon Sep 22 18:03:54 2025 reduce to 373867622 relations and 275354074 ideals in 6 passes
  122. Mon Sep 22 18:03:54 2025 max relations containing the same ideal: 141
  123. Mon Sep 22 18:04:46 2025 removing 6348950 relations and 4348950 ideals in 2000000 cliques
  124. Mon Sep 22 18:04:53 2025 commencing in-memory singleton removal
  125. Mon Sep 22 18:04:54 2025 begin with 367518672 relations and 275354074 unique ideals
  126. Mon Sep 22 18:04:58 2025 reduce to 367428063 relations and 270913905 ideals in 6 passes
  127. Mon Sep 22 18:04:58 2025 max relations containing the same ideal: 139
  128. Mon Sep 22 18:05:49 2025 removing 6303979 relations and 4303979 ideals in 2000000 cliques
  129. Mon Sep 22 18:05:56 2025 commencing in-memory singleton removal
  130. Mon Sep 22 18:05:57 2025 begin with 361124084 relations and 270913905 unique ideals
  131. Mon Sep 22 18:06:02 2025 reduce to 361033368 relations and 266518606 ideals in 6 passes
  132. Mon Sep 22 18:06:02 2025 max relations containing the same ideal: 137
  133. Mon Sep 22 18:06:52 2025 removing 6266487 relations and 4266487 ideals in 2000000 cliques
  134. Mon Sep 22 18:06:58 2025 commencing in-memory singleton removal
  135. Mon Sep 22 18:06:59 2025 begin with 354766881 relations and 266518606 unique ideals
  136. Mon Sep 22 18:07:04 2025 reduce to 354675699 relations and 262160286 ideals in 5 passes
  137. Mon Sep 22 18:07:04 2025 max relations containing the same ideal: 135
  138. Mon Sep 22 18:07:53 2025 removing 6237430 relations and 4237430 ideals in 2000000 cliques
  139. Mon Sep 22 18:08:00 2025 commencing in-memory singleton removal
  140. Mon Sep 22 18:08:01 2025 begin with 348438269 relations and 262160286 unique ideals
  141. Mon Sep 22 18:08:05 2025 reduce to 348346808 relations and 257830730 ideals in 5 passes
  142. Mon Sep 22 18:08:05 2025 max relations containing the same ideal: 132
  143. Mon Sep 22 18:08:54 2025 removing 6205939 relations and 4205939 ideals in 2000000 cliques
  144. Mon Sep 22 18:09:00 2025 commencing in-memory singleton removal
  145. Mon Sep 22 18:09:01 2025 begin with 342140869 relations and 257830730 unique ideals
  146. Mon Sep 22 18:09:06 2025 reduce to 342048194 relations and 253531429 ideals in 6 passes
  147. Mon Sep 22 18:09:06 2025 max relations containing the same ideal: 132
  148. Mon Sep 22 18:09:54 2025 removing 6179963 relations and 4179963 ideals in 2000000 cliques
  149. Mon Sep 22 18:10:00 2025 commencing in-memory singleton removal
  150. Mon Sep 22 18:10:01 2025 begin with 335868231 relations and 253531429 unique ideals
  151. Mon Sep 22 18:10:06 2025 reduce to 335774066 relations and 249256549 ideals in 6 passes
  152. Mon Sep 22 18:10:06 2025 max relations containing the same ideal: 131
  153. Mon Sep 22 18:10:54 2025 removing 6158563 relations and 4158563 ideals in 2000000 cliques
  154. Mon Sep 22 18:11:00 2025 commencing in-memory singleton removal
  155. Mon Sep 22 18:11:00 2025 begin with 329615503 relations and 249256549 unique ideals
  156. Mon Sep 22 18:11:05 2025 reduce to 329520908 relations and 245002632 ideals in 6 passes
  157. Mon Sep 22 18:11:05 2025 max relations containing the same ideal: 130
  158. Mon Sep 22 18:11:52 2025 removing 6135232 relations and 4135232 ideals in 2000000 cliques
  159. Mon Sep 22 18:11:58 2025 commencing in-memory singleton removal
  160. Mon Sep 22 18:11:59 2025 begin with 323385676 relations and 245002632 unique ideals
  161. Mon Sep 22 18:12:03 2025 reduce to 323290285 relations and 240771251 ideals in 6 passes
  162. Mon Sep 22 18:12:03 2025 max relations containing the same ideal: 128
  163. Mon Sep 22 18:12:49 2025 removing 6114674 relations and 4114674 ideals in 2000000 cliques
  164. Mon Sep 22 18:12:55 2025 commencing in-memory singleton removal
  165. Mon Sep 22 18:12:56 2025 begin with 317175611 relations and 240771251 unique ideals
  166. Mon Sep 22 18:13:00 2025 reduce to 317079652 relations and 236559811 ideals in 5 passes
  167. Mon Sep 22 18:13:00 2025 max relations containing the same ideal: 124
  168. Mon Sep 22 18:13:45 2025 removing 6097760 relations and 4097760 ideals in 2000000 cliques
  169. Mon Sep 22 18:13:51 2025 commencing in-memory singleton removal
  170. Mon Sep 22 18:13:51 2025 begin with 310981892 relations and 236559811 unique ideals
  171. Mon Sep 22 18:13:55 2025 reduce to 310884846 relations and 232364125 ideals in 6 passes
  172. Mon Sep 22 18:13:55 2025 max relations containing the same ideal: 124
  173. Mon Sep 22 18:14:40 2025 removing 6084813 relations and 4084813 ideals in 2000000 cliques
  174. Mon Sep 22 18:14:46 2025 commencing in-memory singleton removal
  175. Mon Sep 22 18:14:47 2025 begin with 304800033 relations and 232364125 unique ideals
  176. Mon Sep 22 18:14:50 2025 reduce to 304701528 relations and 228179923 ideals in 5 passes
  177. Mon Sep 22 18:14:50 2025 max relations containing the same ideal: 123
  178. Mon Sep 22 18:15:34 2025 removing 6072331 relations and 4072331 ideals in 2000000 cliques
  179. Mon Sep 22 18:15:40 2025 commencing in-memory singleton removal
  180. Mon Sep 22 18:15:40 2025 begin with 298629197 relations and 228179923 unique ideals
  181. Mon Sep 22 18:15:44 2025 reduce to 298529306 relations and 224006806 ideals in 6 passes
  182. Mon Sep 22 18:15:44 2025 max relations containing the same ideal: 120
  183. Mon Sep 22 18:16:26 2025 removing 6057870 relations and 4057870 ideals in 2000000 cliques
  184. Mon Sep 22 18:16:31 2025 commencing in-memory singleton removal
  185. Mon Sep 22 18:16:32 2025 begin with 292471436 relations and 224006806 unique ideals
  186. Mon Sep 22 18:16:36 2025 reduce to 292369933 relations and 219846529 ideals in 5 passes
  187. Mon Sep 22 18:16:36 2025 max relations containing the same ideal: 117
  188. Mon Sep 22 18:17:18 2025 removing 6051522 relations and 4051522 ideals in 2000000 cliques
  189. Mon Sep 22 18:17:23 2025 commencing in-memory singleton removal
  190. Mon Sep 22 18:17:24 2025 begin with 286318411 relations and 219846529 unique ideals
  191. Mon Sep 22 18:17:27 2025 reduce to 286214902 relations and 215690534 ideals in 5 passes
  192. Mon Sep 22 18:17:27 2025 max relations containing the same ideal: 115
  193. Mon Sep 22 18:18:08 2025 removing 6041984 relations and 4041984 ideals in 2000000 cliques
  194. Mon Sep 22 18:18:14 2025 commencing in-memory singleton removal
  195. Mon Sep 22 18:18:14 2025 begin with 280172918 relations and 215690534 unique ideals
  196. Mon Sep 22 18:18:18 2025 reduce to 280068102 relations and 211542685 ideals in 5 passes
  197. Mon Sep 22 18:18:18 2025 max relations containing the same ideal: 115
  198. Mon Sep 22 18:18:58 2025 removing 6035740 relations and 4035740 ideals in 2000000 cliques
  199. Mon Sep 22 18:19:03 2025 commencing in-memory singleton removal
  200. Mon Sep 22 18:19:04 2025 begin with 274032362 relations and 211542685 unique ideals
  201. Mon Sep 22 18:19:08 2025 reduce to 273925659 relations and 207399178 ideals in 6 passes
  202. Mon Sep 22 18:19:08 2025 max relations containing the same ideal: 114
  203. Mon Sep 22 18:19:47 2025 removing 6032983 relations and 4032983 ideals in 2000000 cliques
  204. Mon Sep 22 18:19:52 2025 commencing in-memory singleton removal
  205. Mon Sep 22 18:19:53 2025 begin with 267892676 relations and 207399178 unique ideals
  206. Mon Sep 22 18:19:56 2025 reduce to 267783330 relations and 203255793 ideals in 6 passes
  207. Mon Sep 22 18:19:56 2025 max relations containing the same ideal: 110
  208. Mon Sep 22 18:20:35 2025 removing 6032902 relations and 4032902 ideals in 2000000 cliques
  209. Mon Sep 22 18:20:40 2025 commencing in-memory singleton removal
  210. Mon Sep 22 18:20:41 2025 begin with 261750428 relations and 203255793 unique ideals
  211. Mon Sep 22 18:20:44 2025 reduce to 261639831 relations and 199111097 ideals in 6 passes
  212. Mon Sep 22 18:20:44 2025 max relations containing the same ideal: 109
  213. Mon Sep 22 18:21:22 2025 removing 6027157 relations and 4027157 ideals in 2000000 cliques
  214. Mon Sep 22 18:21:27 2025 commencing in-memory singleton removal
  215. Mon Sep 22 18:21:28 2025 begin with 255612674 relations and 199111097 unique ideals
  216. Mon Sep 22 18:21:31 2025 reduce to 255499256 relations and 194969315 ideals in 5 passes
  217. Mon Sep 22 18:21:31 2025 max relations containing the same ideal: 108
  218. Mon Sep 22 18:22:08 2025 removing 6026493 relations and 4026493 ideals in 2000000 cliques
  219. Mon Sep 22 18:22:13 2025 commencing in-memory singleton removal
  220. Mon Sep 22 18:22:14 2025 begin with 249472763 relations and 194969315 unique ideals
  221. Mon Sep 22 18:22:17 2025 reduce to 249357187 relations and 190825961 ideals in 6 passes
  222. Mon Sep 22 18:22:17 2025 max relations containing the same ideal: 106
  223. Mon Sep 22 18:22:53 2025 removing 6029251 relations and 4029251 ideals in 2000000 cliques
  224. Mon Sep 22 18:22:58 2025 commencing in-memory singleton removal
  225. Mon Sep 22 18:22:59 2025 begin with 243327936 relations and 190825961 unique ideals
  226. Mon Sep 22 18:23:02 2025 reduce to 243209679 relations and 186677084 ideals in 7 passes
  227. Mon Sep 22 18:23:02 2025 max relations containing the same ideal: 106
  228. Mon Sep 22 18:23:38 2025 removing 6035413 relations and 4035413 ideals in 2000000 cliques
  229. Mon Sep 22 18:23:43 2025 commencing in-memory singleton removal
  230. Mon Sep 22 18:23:43 2025 begin with 237174266 relations and 186677084 unique ideals
  231. Mon Sep 22 18:23:46 2025 reduce to 237054010 relations and 182520018 ideals in 6 passes
  232. Mon Sep 22 18:23:46 2025 max relations containing the same ideal: 103
  233. Mon Sep 22 18:24:22 2025 removing 6040547 relations and 4040547 ideals in 2000000 cliques
  234. Mon Sep 22 18:24:26 2025 commencing in-memory singleton removal
  235. Mon Sep 22 18:24:27 2025 begin with 231013463 relations and 182520018 unique ideals
  236. Mon Sep 22 18:24:30 2025 reduce to 230889713 relations and 178354313 ideals in 6 passes
  237. Mon Sep 22 18:24:30 2025 max relations containing the same ideal: 102
  238. Mon Sep 22 18:25:04 2025 removing 6046006 relations and 4046006 ideals in 2000000 cliques
  239. Mon Sep 22 18:25:08 2025 commencing in-memory singleton removal
  240. Mon Sep 22 18:25:09 2025 begin with 224843707 relations and 178354313 unique ideals
  241. Mon Sep 22 18:25:12 2025 reduce to 224717518 relations and 174180634 ideals in 6 passes
  242. Mon Sep 22 18:25:12 2025 max relations containing the same ideal: 101
  243. Mon Sep 22 18:25:46 2025 removing 6056137 relations and 4056137 ideals in 2000000 cliques
  244. Mon Sep 22 18:25:50 2025 commencing in-memory singleton removal
  245. Mon Sep 22 18:25:50 2025 begin with 218661381 relations and 174180634 unique ideals
  246. Mon Sep 22 18:25:53 2025 reduce to 218531650 relations and 169993151 ideals in 6 passes
  247. Mon Sep 22 18:25:53 2025 max relations containing the same ideal: 100
  248. Mon Sep 22 18:26:26 2025 removing 6065012 relations and 4065012 ideals in 2000000 cliques
  249. Mon Sep 22 18:26:30 2025 commencing in-memory singleton removal
  250. Mon Sep 22 18:26:31 2025 begin with 212466638 relations and 169993151 unique ideals
  251. Mon Sep 22 18:26:34 2025 reduce to 212333750 relations and 165793656 ideals in 6 passes
  252. Mon Sep 22 18:26:34 2025 max relations containing the same ideal: 97
  253. Mon Sep 22 18:27:06 2025 removing 6075475 relations and 4075475 ideals in 2000000 cliques
  254. Mon Sep 22 18:27:10 2025 commencing in-memory singleton removal
  255. Mon Sep 22 18:27:10 2025 begin with 206258275 relations and 165793656 unique ideals
  256. Mon Sep 22 18:27:13 2025 reduce to 206121313 relations and 161579539 ideals in 6 passes
  257. Mon Sep 22 18:27:13 2025 max relations containing the same ideal: 96
  258. Mon Sep 22 18:27:45 2025 removing 6089014 relations and 4089014 ideals in 2000000 cliques
  259. Mon Sep 22 18:27:49 2025 commencing in-memory singleton removal
  260. Mon Sep 22 18:27:49 2025 begin with 200032299 relations and 161579539 unique ideals
  261. Mon Sep 22 18:27:51 2025 reduce to 199891863 relations and 157348272 ideals in 5 passes
  262. Mon Sep 22 18:27:51 2025 max relations containing the same ideal: 95
  263. Mon Sep 22 18:28:22 2025 removing 6107871 relations and 4107871 ideals in 2000000 cliques
  264. Mon Sep 22 18:28:26 2025 commencing in-memory singleton removal
  265. Mon Sep 22 18:28:26 2025 begin with 193783992 relations and 157348272 unique ideals
  266. Mon Sep 22 18:28:29 2025 reduce to 193638327 relations and 153092902 ideals in 6 passes
  267. Mon Sep 22 18:28:29 2025 max relations containing the same ideal: 93
  268. Mon Sep 22 18:28:59 2025 removing 6126237 relations and 4126237 ideals in 2000000 cliques
  269. Mon Sep 22 18:29:03 2025 commencing in-memory singleton removal
  270. Mon Sep 22 18:29:03 2025 begin with 187512090 relations and 153092902 unique ideals
  271. Mon Sep 22 18:29:06 2025 reduce to 187362241 relations and 148814909 ideals in 6 passes
  272. Mon Sep 22 18:29:06 2025 max relations containing the same ideal: 92
  273. Mon Sep 22 18:29:35 2025 removing 6143080 relations and 4143080 ideals in 2000000 cliques
  274. Mon Sep 22 18:29:38 2025 commencing in-memory singleton removal
  275. Mon Sep 22 18:29:39 2025 begin with 181219161 relations and 148814909 unique ideals
  276. Mon Sep 22 18:29:41 2025 reduce to 181063851 relations and 144514471 ideals in 6 passes
  277. Mon Sep 22 18:29:41 2025 max relations containing the same ideal: 91
  278. Mon Sep 22 18:30:10 2025 removing 6167794 relations and 4167794 ideals in 2000000 cliques
  279. Mon Sep 22 18:30:13 2025 commencing in-memory singleton removal
  280. Mon Sep 22 18:30:14 2025 begin with 174896057 relations and 144514471 unique ideals
  281. Mon Sep 22 18:30:16 2025 reduce to 174736357 relations and 140184823 ideals in 6 passes
  282. Mon Sep 22 18:30:16 2025 max relations containing the same ideal: 91
  283. Mon Sep 22 18:30:44 2025 removing 6191626 relations and 4191626 ideals in 2000000 cliques
  284. Mon Sep 22 18:30:47 2025 commencing in-memory singleton removal
  285. Mon Sep 22 18:30:48 2025 begin with 168544731 relations and 140184823 unique ideals
  286. Mon Sep 22 18:30:50 2025 reduce to 168378584 relations and 135824802 ideals in 6 passes
  287. Mon Sep 22 18:30:50 2025 max relations containing the same ideal: 91
  288. Mon Sep 22 18:31:17 2025 removing 6218733 relations and 4218733 ideals in 2000000 cliques
  289. Mon Sep 22 18:31:20 2025 commencing in-memory singleton removal
  290. Mon Sep 22 18:31:21 2025 begin with 162159851 relations and 135824802 unique ideals
  291. Mon Sep 22 18:31:23 2025 reduce to 161987759 relations and 131431565 ideals in 6 passes
  292. Mon Sep 22 18:31:23 2025 max relations containing the same ideal: 87
  293. Mon Sep 22 18:31:49 2025 removing 6248686 relations and 4248686 ideals in 2000000 cliques
  294. Mon Sep 22 18:31:52 2025 commencing in-memory singleton removal
  295. Mon Sep 22 18:31:53 2025 begin with 155739073 relations and 131431565 unique ideals
  296. Mon Sep 22 18:31:55 2025 reduce to 155559807 relations and 127001007 ideals in 7 passes
  297. Mon Sep 22 18:31:55 2025 max relations containing the same ideal: 84
  298. Mon Sep 22 18:32:20 2025 removing 6277079 relations and 4277079 ideals in 2000000 cliques
  299. Mon Sep 22 18:32:23 2025 commencing in-memory singleton removal
  300. Mon Sep 22 18:32:24 2025 begin with 149282728 relations and 127001007 unique ideals
  301. Mon Sep 22 18:32:26 2025 reduce to 149096345 relations and 122534851 ideals in 6 passes
  302. Mon Sep 22 18:32:26 2025 max relations containing the same ideal: 81
  303. Mon Sep 22 18:32:50 2025 removing 6311253 relations and 4311253 ideals in 2000000 cliques
  304. Mon Sep 22 18:32:53 2025 commencing in-memory singleton removal
  305. Mon Sep 22 18:32:54 2025 begin with 142785092 relations and 122534851 unique ideals
  306. Mon Sep 22 18:32:55 2025 reduce to 142589756 relations and 118025315 ideals in 6 passes
  307. Mon Sep 22 18:32:55 2025 max relations containing the same ideal: 78
  308. Mon Sep 22 18:33:19 2025 removing 6351836 relations and 4351836 ideals in 2000000 cliques
  309. Mon Sep 22 18:33:22 2025 commencing in-memory singleton removal
  310. Mon Sep 22 18:33:23 2025 begin with 136237920 relations and 118025315 unique ideals
  311. Mon Sep 22 18:33:24 2025 reduce to 136033586 relations and 113466006 ideals in 6 passes
  312. Mon Sep 22 18:33:24 2025 max relations containing the same ideal: 75
  313. Mon Sep 22 18:33:47 2025 removing 6393996 relations and 4393996 ideals in 2000000 cliques
  314. Mon Sep 22 18:33:50 2025 commencing in-memory singleton removal
  315. Mon Sep 22 18:33:51 2025 begin with 129639590 relations and 113466006 unique ideals
  316. Mon Sep 22 18:33:52 2025 reduce to 129426346 relations and 108855383 ideals in 7 passes
  317. Mon Sep 22 18:33:52 2025 max relations containing the same ideal: 72
  318. Mon Sep 22 18:34:14 2025 removing 6437308 relations and 4437308 ideals in 2000000 cliques
  319. Mon Sep 22 18:34:17 2025 commencing in-memory singleton removal
  320. Mon Sep 22 18:34:18 2025 begin with 122989038 relations and 108855383 unique ideals
  321. Mon Sep 22 18:34:19 2025 reduce to 122764827 relations and 104190327 ideals in 7 passes
  322. Mon Sep 22 18:34:19 2025 max relations containing the same ideal: 71
  323. Mon Sep 22 18:34:40 2025 removing 6481027 relations and 4481027 ideals in 2000000 cliques
  324. Mon Sep 22 18:34:42 2025 commencing in-memory singleton removal
  325. Mon Sep 22 18:34:43 2025 begin with 116283800 relations and 104190327 unique ideals
  326. Mon Sep 22 18:34:44 2025 reduce to 116046111 relations and 99467768 ideals in 7 passes
  327. Mon Sep 22 18:34:44 2025 max relations containing the same ideal: 70
  328. Mon Sep 22 18:35:04 2025 removing 6531870 relations and 4531870 ideals in 2000000 cliques
  329. Mon Sep 22 18:35:06 2025 commencing in-memory singleton removal
  330. Mon Sep 22 18:35:07 2025 begin with 109514241 relations and 99467768 unique ideals
  331. Mon Sep 22 18:35:08 2025 reduce to 109262067 relations and 94679554 ideals in 6 passes
  332. Mon Sep 22 18:35:08 2025 max relations containing the same ideal: 69
  333. Mon Sep 22 18:35:27 2025 removing 6589711 relations and 4589711 ideals in 2000000 cliques
  334. Mon Sep 22 18:35:29 2025 commencing in-memory singleton removal
  335. Mon Sep 22 18:35:29 2025 begin with 102672356 relations and 94679554 unique ideals
  336. Mon Sep 22 18:35:31 2025 reduce to 102402077 relations and 89814893 ideals in 7 passes
  337. Mon Sep 22 18:35:31 2025 max relations containing the same ideal: 66
  338. Mon Sep 22 18:35:48 2025 removing 6648857 relations and 4648857 ideals in 2000000 cliques
  339. Mon Sep 22 18:35:51 2025 commencing in-memory singleton removal
  340. Mon Sep 22 18:35:51 2025 begin with 95753220 relations and 89814893 unique ideals
  341. Mon Sep 22 18:35:52 2025 reduce to 95462597 relations and 84870205 ideals in 6 passes
  342. Mon Sep 22 18:35:52 2025 max relations containing the same ideal: 59
  343. Mon Sep 22 18:36:09 2025 removing 6714288 relations and 4714288 ideals in 2000000 cliques
  344. Mon Sep 22 18:36:11 2025 commencing in-memory singleton removal
  345. Mon Sep 22 18:36:11 2025 begin with 88748309 relations and 84870205 unique ideals
  346. Mon Sep 22 18:36:13 2025 reduce to 88428306 relations and 79829951 ideals in 6 passes
  347. Mon Sep 22 18:36:13 2025 max relations containing the same ideal: 54
  348. Mon Sep 22 18:36:28 2025 removing 6793884 relations and 4793884 ideals in 2000000 cliques
  349. Mon Sep 22 18:36:30 2025 commencing in-memory singleton removal
  350. Mon Sep 22 18:36:31 2025 begin with 81634422 relations and 79829951 unique ideals
  351. Mon Sep 22 18:36:32 2025 reduce to 81282024 relations and 74676696 ideals in 7 passes
  352. Mon Sep 22 18:36:32 2025 max relations containing the same ideal: 53
  353. Mon Sep 22 18:36:46 2025 removing 6884089 relations and 4884089 ideals in 2000000 cliques
  354. Mon Sep 22 18:36:48 2025 commencing in-memory singleton removal
  355. Mon Sep 22 18:36:49 2025 begin with 74397935 relations and 74676696 unique ideals
  356. Mon Sep 22 18:36:50 2025 reduce to 73997985 relations and 69384323 ideals in 10 passes
  357. Mon Sep 22 18:36:50 2025 max relations containing the same ideal: 51
  358. Mon Sep 22 18:37:03 2025 removing 1020864 relations and 814097 ideals in 206767 cliques
  359. Mon Sep 22 18:37:05 2025 commencing in-memory singleton removal
  360. Mon Sep 22 18:37:05 2025 begin with 72977121 relations and 69384323 unique ideals
  361. Mon Sep 22 18:37:06 2025 reduce to 72967848 relations and 68560934 ideals in 6 passes
  362. Mon Sep 22 18:37:06 2025 max relations containing the same ideal: 51
  363. Mon Sep 22 18:37:11 2025 relations with 0 large ideals: 137895
  364. Mon Sep 22 18:37:11 2025 relations with 1 large ideals: 213872
  365. Mon Sep 22 18:37:11 2025 relations with 2 large ideals: 1976530
  366. Mon Sep 22 18:37:11 2025 relations with 3 large ideals: 7973562
  367. Mon Sep 22 18:37:11 2025 relations with 4 large ideals: 16705617
  368. Mon Sep 22 18:37:11 2025 relations with 5 large ideals: 20326633
  369. Mon Sep 22 18:37:11 2025 relations with 6 large ideals: 15180712
  370. Mon Sep 22 18:37:11 2025 relations with 7+ large ideals: 10453027
  371. Mon Sep 22 18:37:11 2025 commencing 2-way merge
  372. Mon Sep 22 18:37:33 2025 reduce to 47037643 relation sets and 42630729 unique ideals
  373. Mon Sep 22 18:37:33 2025 commencing full merge
  374. Mon Sep 22 18:45:04 2025 memory use: 5282.4 MB
  375. Mon Sep 22 18:45:07 2025 found 22320518 cycles, need 21750929
  376. Mon Sep 22 18:45:13 2025 weight of 21750929 cycles is about 2393185588 (110.03/cycle)
  377. Mon Sep 22 18:45:13 2025 distribution of cycle lengths:
  378. Mon Sep 22 18:45:13 2025 1 relations: 1088796
  379. Mon Sep 22 18:45:13 2025 2 relations: 1388366
  380. Mon Sep 22 18:45:13 2025 3 relations: 1626818
  381. Mon Sep 22 18:45:13 2025 4 relations: 1713136
  382. Mon Sep 22 18:45:13 2025 5 relations: 1785677
  383. Mon Sep 22 18:45:13 2025 6 relations: 1787296
  384. Mon Sep 22 18:45:13 2025 7 relations: 1758601
  385. Mon Sep 22 18:45:13 2025 8 relations: 1675911
  386. Mon Sep 22 18:45:13 2025 9 relations: 1556902
  387. Mon Sep 22 18:45:13 2025 10+ relations: 7369426
  388. Mon Sep 22 18:45:13 2025 heaviest cycle: 24 relations
  389. Mon Sep 22 18:45:16 2025 commencing cycle optimization
  390. Mon Sep 22 18:45:39 2025 start with 171304864 relations
  391. Mon Sep 22 18:48:46 2025 pruned 7149507 relations
  392. Mon Sep 22 18:48:46 2025 memory use: 4754.1 MB
  393. Mon Sep 22 18:48:46 2025 distribution of cycle lengths:
  394. Mon Sep 22 18:48:46 2025 1 relations: 1088796
  395. Mon Sep 22 18:48:46 2025 2 relations: 1422944
  396. Mon Sep 22 18:48:46 2025 3 relations: 1696537
  397. Mon Sep 22 18:48:46 2025 4 relations: 1786997
  398. Mon Sep 22 18:48:46 2025 5 relations: 1878970
  399. Mon Sep 22 18:48:46 2025 6 relations: 1878729
  400. Mon Sep 22 18:48:46 2025 7 relations: 1857049
  401. Mon Sep 22 18:48:46 2025 8 relations: 1760087
  402. Mon Sep 22 18:48:46 2025 9 relations: 1626353
  403. Mon Sep 22 18:48:46 2025 10+ relations: 6754467
  404. Mon Sep 22 18:48:46 2025 heaviest cycle: 24 relations
  405. Mon Sep 22 18:49:03 2025 RelProcTime: 7148
  406. Mon Sep 22 18:49:03 2025 elapsed time 01:59:09
  407. Mon Sep 22 18:49:09 2025
  408. Mon Sep 22 18:49:09 2025
  409. Mon Sep 22 18:49:09 2025 Msieve v. 1.54 (SVN Unversioned directory)
  410. Mon Sep 22 18:49:09 2025 random seeds: b976d12f 074272a5
  411. Mon Sep 22 18:49:09 2025 MPI process 0 of 4
  412. Mon Sep 22 18:49:09 2025 Using 10 OpenMP threads
  413. Mon Sep 22 18:49:09 2025 factoring 7577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (265 digits)
  414. Mon Sep 22 18:49:10 2025 no P-1/P+1/ECM available, skipping
  415. Mon Sep 22 18:49:10 2025 commencing number field sieve (265-digit input)
  416. Mon Sep 22 18:49:10 2025 R0: 100000000000000000000000000000000000000000000
  417. Mon Sep 22 18:49:10 2025 R1: -1
  418. Mon Sep 22 18:49:10 2025 A0: -35
  419. Mon Sep 22 18:49:10 2025 A1: 0
  420. Mon Sep 22 18:49:10 2025 A2: 0
  421. Mon Sep 22 18:49:10 2025 A3: 0
  422. Mon Sep 22 18:49:10 2025 A4: 0
  423. Mon Sep 22 18:49:10 2025 A5: 0
  424. Mon Sep 22 18:49:10 2025 A6: 341
  425. Mon Sep 22 18:49:10 2025 skew 0.89, size 2.171e-13, alpha 1.038, combined = 3.814e-14 rroots = 2
  426. Mon Sep 22 18:49:10 2025
  427. Mon Sep 22 18:49:10 2025 commencing linear algebra
  428. Mon Sep 22 18:49:10 2025 using VBITS=256
  429. Mon Sep 22 18:49:10 2025 initialized process (0,0) of 2 x 2 grid
  430. Mon Sep 22 18:49:11 2025 read 21750929 cycles
  431. Mon Sep 22 18:49:34 2025 cycles contain 70985723 unique relations
  432. Mon Sep 22 18:58:23 2025 read 70985723 relations
  433. Mon Sep 22 18:58:35 2025 using 20 quadratic characters above 4294917295
  434. Mon Sep 22 18:58:58 2025 building initial matrix
  435. Mon Sep 22 19:08:08 2025 memory use: 9290.4 MB
  436. Mon Sep 22 19:08:20 2025 read 21750929 cycles
  437. Mon Sep 22 19:08:21 2025 matrix is 21750747 x 21750929 (9507.2 MB) with weight 2729596827 (125.49/col)
  438. Mon Sep 22 19:08:21 2025 sparse part has weight 2253002885 (103.58/col)
  439. Mon Sep 22 19:11:14 2025 filtering completed in 2 passes
  440. Mon Sep 22 19:11:17 2025 matrix is 21748684 x 21748861 (9507.0 MB) with weight 2729516670 (125.50/col)
  441. Mon Sep 22 19:11:17 2025 sparse part has weight 2252966932 (103.59/col)
  442. Mon Sep 22 19:11:50 2025 matrix starts at (0, 0)
  443. Mon Sep 22 19:11:50 2025 matrix is 10874462 x 10874493 (2776.1 MB) with weight 846400061 (77.83/col)
  444. Mon Sep 22 19:11:50 2025 sparse part has weight 608124546 (55.92/col)
  445. Mon Sep 22 19:11:50 2025 saving the first 240 matrix rows for later
  446. Mon Sep 22 19:11:51 2025 matrix includes 256 packed rows
  447. Mon Sep 22 19:11:53 2025 matrix is 10874222 x 10874493 (2495.8 MB) with weight 518517695 (47.68/col)
  448. Mon Sep 22 19:11:53 2025 sparse part has weight 480255246 (44.16/col)
  449. Mon Sep 22 19:11:53 2025 using GPU 0 (NVIDIA H200)
  450. Mon Sep 22 19:11:53 2025 selected card has CUDA arch 9.0
  451. Mon Sep 22 19:12:22 2025 commencing Lanczos iteration
  452. Mon Sep 22 19:12:23 2025 memory use: 5738.2 MB
  453. Mon Sep 22 19:12:29 2025 linear algebra at 0.1%, ETA 0h59m
  454. Mon Sep 22 19:12:36 2025 checking every 380000 dimensions, checkpointing every 23180000 dimensions
  455. Mon Sep 22 20:10:16 2025 lanczos halted after 85211 iterations (dim = 21748442)
  456. Mon Sep 22 20:11:21 2025 recovered 33 nontrivial dependencies
  457. Mon Sep 22 20:11:21 2025 BLanczosTime: 4931
  458. Mon Sep 22 20:11:21 2025 elapsed time 01:22:12
  459. Mon Sep 22 20:11:25 2025
  460. Mon Sep 22 20:11:25 2025
  461. Mon Sep 22 20:11:25 2025 Msieve v. 1.54 (SVN Unversioned directory)
  462. Mon Sep 22 20:11:25 2025 random seeds: dce08578 1287a75d
  463. Mon Sep 22 20:11:25 2025 MPI process 0 of 1
  464. Mon Sep 22 20:11:25 2025 Using 64 OpenMP threads
  465. Mon Sep 22 20:11:25 2025 factoring 7577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (265 digits)
  466. Mon Sep 22 20:11:26 2025 no P-1/P+1/ECM available, skipping
  467. Mon Sep 22 20:11:26 2025 commencing number field sieve (265-digit input)
  468. Mon Sep 22 20:11:26 2025 R0: 100000000000000000000000000000000000000000000
  469. Mon Sep 22 20:11:26 2025 R1: -1
  470. Mon Sep 22 20:11:26 2025 A0: -35
  471. Mon Sep 22 20:11:26 2025 A1: 0
  472. Mon Sep 22 20:11:26 2025 A2: 0
  473. Mon Sep 22 20:11:26 2025 A3: 0
  474. Mon Sep 22 20:11:26 2025 A4: 0
  475. Mon Sep 22 20:11:26 2025 A5: 0
  476. Mon Sep 22 20:11:26 2025 A6: 341
  477. Mon Sep 22 20:11:26 2025 skew 0.89, size 2.171e-13, alpha 1.038, combined = 3.814e-14 rroots = 2
  478. Mon Sep 22 20:11:26 2025
  479. Mon Sep 22 20:11:26 2025 commencing square root phase
  480. Mon Sep 22 20:11:26 2025 reading relations for dependency 1
  481. Mon Sep 22 20:11:27 2025 read 10875911 cycles
  482. Mon Sep 22 20:11:39 2025 cycles contain 35497986 unique relations
  483. Mon Sep 22 20:20:08 2025 read 35497986 relations
  484. Mon Sep 22 20:21:30 2025 multiplying 35497986 relations
  485. Mon Sep 22 20:23:08 2025 multiply complete, coefficients have about 1226.97 million bits
  486. Mon Sep 22 20:23:10 2025 initial square root is modulo 319069
  487. Mon Sep 22 20:27:49 2025 found factor: 2774407697276101549260760514086380134771622214294187083930080862705239612779162308151205533538267832720517798021
  488. Mon Sep 22 20:27:49 2025 reading relations for dependency 2
  489. Mon Sep 22 20:27:51 2025 read 10875051 cycles
  490. Mon Sep 22 20:28:02 2025 cycles contain 35490678 unique relations
  491. Mon Sep 22 20:36:31 2025 read 35490678 relations
  492. Mon Sep 22 20:37:54 2025 multiplying 35490678 relations
  493. Mon Sep 22 20:39:29 2025 multiply complete, coefficients have about 1226.73 million bits
  494. Mon Sep 22 20:39:31 2025 initial square root is modulo 318259
  495. Mon Sep 22 20:44:13 2025 sqrtTime: 1967
  496. Mon Sep 22 20:44:13 2025 p63 factor: 146185489833291052731480012989145652569964026411653047124096741
  497. Mon Sep 22 20:44:13 2025 p92 factor: 18683890665630258472310496635276391875478626603480792112172490973840722690563600669184364857
  498. Mon Sep 22 20:44:13 2025 p112 factor: 2774407697276101549260760514086380134771622214294187083930080862705239612779162308151205533538267832720517798021
  499. Mon Sep 22 20:44:13 2025 elapsed time 00:32:48
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