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F1589.msieve.log

Serge_Batalov
Nov 29th, 2025
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  1. 100 % 904,071,968 + 45,758,782 pending
  2. Found 739363908 unique, 164707036 duplicate, and 10 bad relations.
  3. Largest dimension used: 2477 of 5600
  4. Average dimension used: 2256.4 of 5600
  5.  
  6. 100 % 935,613,485 + 8,120,833 pending
  7. Found 31238565 unique, 302862 duplicate, and 0 bad relations.
  8. Largest dimension used: 149 of 3500
  9. Average dimension used: 95.3 of 3500
  10.  
  11. Fri Nov 28 10:38:29 2025 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  12. Fri Nov 28 10:38:29 2025 random seeds: 0b132290 ddfd2560
  13. Fri Nov 28 10:38:29 2025 factoring 531278195152430657494032307165739143082653445603378543786855956937702765823881130430220525334527625190705795763948118207782930439792900228130409054555067740641351841678022821210799430139622634560390593804762823332311601603667651595466233488133 (243 digits)
  14. Fri Nov 28 10:38:30 2025 no P-1/P+1/ECM available, skipping
  15. Fri Nov 28 10:38:30 2025 commencing number field sieve (243-digit input)
  16. Fri Nov 28 10:38:30 2025 R0: -275546143282785844218295114048973991262329549079
  17. Fri Nov 28 10:38:30 2025 R1: 1
  18. Fri Nov 28 10:38:30 2025 A0: 1
  19. Fri Nov 28 10:38:30 2025 A1: 0
  20. Fri Nov 28 10:38:30 2025 A2: 6
  21. Fri Nov 28 10:38:30 2025 A3: 0
  22. Fri Nov 28 10:38:30 2025 A4: 5
  23. Fri Nov 28 10:38:30 2025 A5: 0
  24. Fri Nov 28 10:38:30 2025 A6: 1
  25. Fri Nov 28 10:38:30 2025 skew 1.54, size 5.400e-14, alpha 1.743, combined = 1.251e-14 rroots = 0
  26. Fri Nov 28 10:38:30 2025
  27. Fri Nov 28 10:38:30 2025 commencing relation filtering
  28. Fri Nov 28 10:38:30 2025 setting target matrix density to 135.0
  29. Fri Nov 28 10:38:30 2025 estimated available RAM is 1031034.1 MB
  30. Fri Nov 28 10:38:30 2025 commencing duplicate removal, pass 1
  31. Fri Nov 28 13:00:06 2025 skipped 26875 relations with b > 2^32
  32. Fri Nov 28 13:00:06 2025 skipped 1 relations with composite factors
  33. Fri Nov 28 13:00:06 2025 found 40058217 hash collisions in 770575591 relations
  34. Fri Nov 28 13:00:16 2025 added 2438606 free relations
  35. Fri Nov 28 13:00:16 2025 commencing duplicate removal, pass 2
  36. Fri Nov 28 13:16:09 2025 found 8919802 duplicates and 764094395 unique relations
  37. Fri Nov 28 13:16:09 2025 memory use: 2217.5 MB
  38. Fri Nov 28 13:16:09 2025 reading ideals above 720000
  39. Fri Nov 28 13:16:09 2025 commencing singleton removal, initial pass
  40. Fri Nov 28 16:30:20 2025 memory use: 11024.0 MB
  41. Fri Nov 28 16:30:20 2025 reading all ideals from disk
  42. Fri Nov 28 16:30:43 2025 memory use: 39558.8 MB
  43. Fri Nov 28 16:32:20 2025 keeping 645900057 ideals with weight <= 200, target excess is 4090906
  44. Fri Nov 28 16:34:32 2025 commencing in-memory singleton removal
  45. Fri Nov 28 16:36:12 2025 begin with 764094395 relations and 645900057 unique ideals
  46. Fri Nov 28 16:44:45 2025 reduce to 533456941 relations and 396111951 ideals in 13 passes
  47. Fri Nov 28 16:44:45 2025 max relations containing the same ideal: 168
  48. Fri Nov 28 16:47:38 2025 removing 12698269 relations and 10698269 ideals in 2000000 cliques
  49. Fri Nov 28 16:47:52 2025 commencing in-memory singleton removal
  50. Fri Nov 28 16:48:43 2025 begin with 520758672 relations and 396111951 unique ideals
  51. Fri Nov 28 16:51:50 2025 reduce to 520539211 relations and 385193054 ideals in 7 passes
  52. Fri Nov 28 16:51:50 2025 max relations containing the same ideal: 165
  53. Fri Nov 28 16:54:41 2025 removing 9709841 relations and 7709841 ideals in 2000000 cliques
  54. Fri Nov 28 16:54:55 2025 commencing in-memory singleton removal
  55. Fri Nov 28 16:55:47 2025 begin with 510829370 relations and 385193054 unique ideals
  56. Fri Nov 28 16:59:09 2025 reduce to 510686405 relations and 377339613 ideals in 7 passes
  57. Fri Nov 28 16:59:09 2025 max relations containing the same ideal: 164
  58. Fri Nov 28 17:01:50 2025 removing 8740446 relations and 6740446 ideals in 2000000 cliques
  59. Fri Nov 28 17:02:03 2025 commencing in-memory singleton removal
  60. Fri Nov 28 17:02:46 2025 begin with 501945959 relations and 377339613 unique ideals
  61. Fri Nov 28 17:05:46 2025 reduce to 501823031 relations and 370475706 ideals in 7 passes
  62. Fri Nov 28 17:05:46 2025 max relations containing the same ideal: 163
  63. Fri Nov 28 17:08:24 2025 removing 8179237 relations and 6179237 ideals in 2000000 cliques
  64. Fri Nov 28 17:08:37 2025 commencing in-memory singleton removal
  65. Fri Nov 28 17:09:19 2025 begin with 493643794 relations and 370475706 unique ideals
  66. Fri Nov 28 17:11:53 2025 reduce to 493532531 relations and 364184760 ideals in 6 passes
  67. Fri Nov 28 17:11:53 2025 max relations containing the same ideal: 160
  68. Fri Nov 28 17:14:29 2025 removing 7789814 relations and 5789814 ideals in 2000000 cliques
  69. Fri Nov 28 17:14:42 2025 commencing in-memory singleton removal
  70. Fri Nov 28 17:15:24 2025 begin with 485742717 relations and 364184760 unique ideals
  71. Fri Nov 28 17:17:54 2025 reduce to 485638786 relations and 358290546 ideals in 6 passes
  72. Fri Nov 28 17:17:54 2025 max relations containing the same ideal: 159
  73. Fri Nov 28 17:20:27 2025 removing 7509898 relations and 5509898 ideals in 2000000 cliques
  74. Fri Nov 28 17:20:39 2025 commencing in-memory singleton removal
  75. Fri Nov 28 17:21:20 2025 begin with 478128888 relations and 358290546 unique ideals
  76. Fri Nov 28 17:23:47 2025 reduce to 478029003 relations and 352680325 ideals in 6 passes
  77. Fri Nov 28 17:23:47 2025 max relations containing the same ideal: 158
  78. Fri Nov 28 17:26:18 2025 removing 7293004 relations and 5293004 ideals in 2000000 cliques
  79. Fri Nov 28 17:26:30 2025 commencing in-memory singleton removal
  80. Fri Nov 28 17:27:10 2025 begin with 470735999 relations and 352680325 unique ideals
  81. Fri Nov 28 17:29:35 2025 reduce to 470641251 relations and 347292141 ideals in 6 passes
  82. Fri Nov 28 17:29:35 2025 max relations containing the same ideal: 157
  83. Fri Nov 28 17:32:03 2025 removing 7115498 relations and 5115498 ideals in 2000000 cliques
  84. Fri Nov 28 17:32:15 2025 commencing in-memory singleton removal
  85. Fri Nov 28 17:32:54 2025 begin with 463525753 relations and 347292141 unique ideals
  86. Fri Nov 28 17:35:18 2025 reduce to 463434386 relations and 342084826 ideals in 6 passes
  87. Fri Nov 28 17:35:18 2025 max relations containing the same ideal: 153
  88. Fri Nov 28 17:37:45 2025 removing 6974352 relations and 4974352 ideals in 2000000 cliques
  89. Fri Nov 28 17:37:57 2025 commencing in-memory singleton removal
  90. Fri Nov 28 17:38:35 2025 begin with 456460034 relations and 342084826 unique ideals
  91. Fri Nov 28 17:40:56 2025 reduce to 456370117 relations and 337020118 ideals in 6 passes
  92. Fri Nov 28 17:40:56 2025 max relations containing the same ideal: 152
  93. Fri Nov 28 17:43:20 2025 removing 6854580 relations and 4854580 ideals in 2000000 cliques
  94. Fri Nov 28 17:43:32 2025 commencing in-memory singleton removal
  95. Fri Nov 28 17:44:10 2025 begin with 449515537 relations and 337020118 unique ideals
  96. Fri Nov 28 17:46:28 2025 reduce to 449426965 relations and 332076588 ideals in 6 passes
  97. Fri Nov 28 17:46:28 2025 max relations containing the same ideal: 151
  98. Fri Nov 28 17:48:51 2025 removing 6752419 relations and 4752419 ideals in 2000000 cliques
  99. Fri Nov 28 17:49:02 2025 commencing in-memory singleton removal
  100. Fri Nov 28 17:49:40 2025 begin with 442674546 relations and 332076588 unique ideals
  101. Fri Nov 28 17:51:56 2025 reduce to 442587856 relations and 327237060 ideals in 6 passes
  102. Fri Nov 28 17:51:56 2025 max relations containing the same ideal: 149
  103. Fri Nov 28 17:54:16 2025 removing 6663382 relations and 4663382 ideals in 2000000 cliques
  104. Fri Nov 28 17:54:27 2025 commencing in-memory singleton removal
  105. Fri Nov 28 17:55:04 2025 begin with 435924474 relations and 327237060 unique ideals
  106. Fri Nov 28 17:57:41 2025 reduce to 435838412 relations and 322487206 ideals in 7 passes
  107. Fri Nov 28 17:57:41 2025 max relations containing the same ideal: 149
  108. Fri Nov 28 17:59:58 2025 removing 6592138 relations and 4592138 ideals in 2000000 cliques
  109. Fri Nov 28 18:00:09 2025 commencing in-memory singleton removal
  110. Fri Nov 28 18:00:45 2025 begin with 429246274 relations and 322487206 unique ideals
  111. Fri Nov 28 18:02:35 2025 reduce to 429160885 relations and 317809223 ideals in 5 passes
  112. Fri Nov 28 18:02:35 2025 max relations containing the same ideal: 147
  113. Fri Nov 28 18:04:50 2025 removing 6522391 relations and 4522391 ideals in 2000000 cliques
  114. Fri Nov 28 18:05:02 2025 commencing in-memory singleton removal
  115. Fri Nov 28 18:05:38 2025 begin with 422638494 relations and 317809223 unique ideals
  116. Fri Nov 28 18:07:27 2025 reduce to 422553884 relations and 313201769 ideals in 5 passes
  117. Fri Nov 28 18:07:27 2025 max relations containing the same ideal: 144
  118. Fri Nov 28 18:09:40 2025 removing 6465211 relations and 4465211 ideals in 2000000 cliques
  119. Fri Nov 28 18:09:51 2025 commencing in-memory singleton removal
  120. Fri Nov 28 18:10:26 2025 begin with 416088673 relations and 313201769 unique ideals
  121. Fri Nov 28 18:12:12 2025 reduce to 416004432 relations and 308651853 ideals in 5 passes
  122. Fri Nov 28 18:12:12 2025 max relations containing the same ideal: 143
  123. Fri Nov 28 18:14:23 2025 removing 6411838 relations and 4411838 ideals in 2000000 cliques
  124. Fri Nov 28 18:14:34 2025 commencing in-memory singleton removal
  125. Fri Nov 28 18:15:09 2025 begin with 409592594 relations and 308651853 unique ideals
  126. Fri Nov 28 18:17:13 2025 reduce to 409508217 relations and 304155149 ideals in 6 passes
  127. Fri Nov 28 18:17:13 2025 max relations containing the same ideal: 141
  128. Fri Nov 28 18:19:23 2025 removing 6365504 relations and 4365504 ideals in 2000000 cliques
  129. Fri Nov 28 18:19:33 2025 commencing in-memory singleton removal
  130. Fri Nov 28 18:20:07 2025 begin with 403142713 relations and 304155149 unique ideals
  131. Fri Nov 28 18:22:29 2025 reduce to 403057960 relations and 299704365 ideals in 7 passes
  132. Fri Nov 28 18:22:29 2025 max relations containing the same ideal: 140
  133. Fri Nov 28 18:24:36 2025 removing 6323521 relations and 4323521 ideals in 2000000 cliques
  134. Fri Nov 28 18:24:46 2025 commencing in-memory singleton removal
  135. Fri Nov 28 18:25:19 2025 begin with 396734439 relations and 299704365 unique ideals
  136. Fri Nov 28 18:27:20 2025 reduce to 396649170 relations and 295295053 ideals in 6 passes
  137. Fri Nov 28 18:27:20 2025 max relations containing the same ideal: 139
  138. Fri Nov 28 18:29:25 2025 removing 6286614 relations and 4286614 ideals in 2000000 cliques
  139. Fri Nov 28 18:29:35 2025 commencing in-memory singleton removal
  140. Fri Nov 28 18:30:08 2025 begin with 390362556 relations and 295295053 unique ideals
  141. Fri Nov 28 18:32:06 2025 reduce to 390276595 relations and 290921948 ideals in 6 passes
  142. Fri Nov 28 18:32:06 2025 max relations containing the same ideal: 138
  143. Fri Nov 28 18:34:09 2025 removing 6256786 relations and 4256786 ideals in 2000000 cliques
  144. Fri Nov 28 18:34:19 2025 commencing in-memory singleton removal
  145. Fri Nov 28 18:34:51 2025 begin with 384019809 relations and 290921948 unique ideals
  146. Fri Nov 28 18:36:47 2025 reduce to 383934458 relations and 286579235 ideals in 6 passes
  147. Fri Nov 28 18:36:47 2025 max relations containing the same ideal: 136
  148. Fri Nov 28 18:38:48 2025 removing 6224805 relations and 4224805 ideals in 2000000 cliques
  149. Fri Nov 28 18:38:58 2025 commencing in-memory singleton removal
  150. Fri Nov 28 18:39:29 2025 begin with 377709653 relations and 286579235 unique ideals
  151. Fri Nov 28 18:41:23 2025 reduce to 377622776 relations and 282266953 ideals in 6 passes
  152. Fri Nov 28 18:41:23 2025 max relations containing the same ideal: 135
  153. Fri Nov 28 18:43:24 2025 removing 6198396 relations and 4198396 ideals in 2000000 cliques
  154. Fri Nov 28 18:43:33 2025 commencing in-memory singleton removal
  155. Fri Nov 28 18:44:04 2025 begin with 371424380 relations and 282266953 unique ideals
  156. Fri Nov 28 18:45:56 2025 reduce to 371337835 relations and 277981406 ideals in 6 passes
  157. Fri Nov 28 18:45:56 2025 max relations containing the same ideal: 135
  158. Fri Nov 28 18:47:53 2025 removing 6171911 relations and 4171911 ideals in 2000000 cliques
  159. Fri Nov 28 18:48:02 2025 commencing in-memory singleton removal
  160. Fri Nov 28 18:48:33 2025 begin with 365165924 relations and 277981406 unique ideals
  161. Fri Nov 28 18:50:23 2025 reduce to 365078024 relations and 273720983 ideals in 6 passes
  162. Fri Nov 28 18:50:23 2025 max relations containing the same ideal: 133
  163. Fri Nov 28 18:52:18 2025 removing 6147601 relations and 4147601 ideals in 2000000 cliques
  164. Fri Nov 28 18:52:27 2025 commencing in-memory singleton removal
  165. Fri Nov 28 18:52:57 2025 begin with 358930423 relations and 273720983 unique ideals
  166. Fri Nov 28 18:54:45 2025 reduce to 358841226 relations and 269483480 ideals in 6 passes
  167. Fri Nov 28 18:54:45 2025 max relations containing the same ideal: 133
  168. Fri Nov 28 18:56:38 2025 removing 6133636 relations and 4133636 ideals in 2000000 cliques
  169. Fri Nov 28 18:56:47 2025 commencing in-memory singleton removal
  170. Fri Nov 28 18:57:17 2025 begin with 352707590 relations and 269483480 unique ideals
  171. Fri Nov 28 18:59:02 2025 reduce to 352617109 relations and 265258651 ideals in 6 passes
  172. Fri Nov 28 18:59:02 2025 max relations containing the same ideal: 131
  173. Fri Nov 28 19:00:54 2025 removing 6115883 relations and 4115883 ideals in 2000000 cliques
  174. Fri Nov 28 19:01:02 2025 commencing in-memory singleton removal
  175. Fri Nov 28 19:01:31 2025 begin with 346501226 relations and 265258651 unique ideals
  176. Fri Nov 28 19:03:15 2025 reduce to 346410004 relations and 261050806 ideals in 6 passes
  177. Fri Nov 28 19:03:15 2025 max relations containing the same ideal: 128
  178. Fri Nov 28 19:05:04 2025 removing 6101911 relations and 4101911 ideals in 2000000 cliques
  179. Fri Nov 28 19:05:13 2025 commencing in-memory singleton removal
  180. Fri Nov 28 19:05:41 2025 begin with 340308093 relations and 261050806 unique ideals
  181. Fri Nov 28 19:07:22 2025 reduce to 340216406 relations and 256856422 ideals in 6 passes
  182. Fri Nov 28 19:07:22 2025 max relations containing the same ideal: 127
  183. Fri Nov 28 19:09:10 2025 removing 6087453 relations and 4087453 ideals in 2000000 cliques
  184. Fri Nov 28 19:09:19 2025 commencing in-memory singleton removal
  185. Fri Nov 28 19:09:47 2025 begin with 334128953 relations and 256856422 unique ideals
  186. Fri Nov 28 19:11:26 2025 reduce to 334035833 relations and 252675075 ideals in 6 passes
  187. Fri Nov 28 19:11:26 2025 max relations containing the same ideal: 127
  188. Fri Nov 28 19:13:11 2025 removing 6074636 relations and 4074636 ideals in 2000000 cliques
  189. Fri Nov 28 19:13:20 2025 commencing in-memory singleton removal
  190. Fri Nov 28 19:13:47 2025 begin with 327961197 relations and 252675075 unique ideals
  191. Fri Nov 28 19:15:25 2025 reduce to 327867020 relations and 248505457 ideals in 6 passes
  192. Fri Nov 28 19:15:25 2025 max relations containing the same ideal: 124
  193. Fri Nov 28 19:17:08 2025 removing 6068712 relations and 4068712 ideals in 2000000 cliques
  194. Fri Nov 28 19:17:16 2025 commencing in-memory singleton removal
  195. Fri Nov 28 19:17:43 2025 begin with 321798308 relations and 248505457 unique ideals
  196. Fri Nov 28 19:19:04 2025 reduce to 321702754 relations and 244340394 ideals in 5 passes
  197. Fri Nov 28 19:19:04 2025 max relations containing the same ideal: 124
  198. Fri Nov 28 19:20:46 2025 removing 6057124 relations and 4057124 ideals in 2000000 cliques
  199. Fri Nov 28 19:20:54 2025 commencing in-memory singleton removal
  200. Fri Nov 28 19:21:19 2025 begin with 315645630 relations and 244340394 unique ideals
  201. Fri Nov 28 19:22:53 2025 reduce to 315548200 relations and 240184982 ideals in 6 passes
  202. Fri Nov 28 19:22:53 2025 max relations containing the same ideal: 123
  203. Fri Nov 28 19:24:33 2025 removing 6054334 relations and 4054334 ideals in 2000000 cliques
  204. Fri Nov 28 19:24:41 2025 commencing in-memory singleton removal
  205. Fri Nov 28 19:25:07 2025 begin with 309493866 relations and 240184982 unique ideals
  206. Fri Nov 28 19:26:38 2025 reduce to 309395053 relations and 236030893 ideals in 6 passes
  207. Fri Nov 28 19:26:38 2025 max relations containing the same ideal: 122
  208. Fri Nov 28 19:28:17 2025 removing 6045603 relations and 4045603 ideals in 2000000 cliques
  209. Fri Nov 28 19:28:25 2025 commencing in-memory singleton removal
  210. Fri Nov 28 19:28:49 2025 begin with 303349450 relations and 236030893 unique ideals
  211. Fri Nov 28 19:30:19 2025 reduce to 303248645 relations and 231883545 ideals in 6 passes
  212. Fri Nov 28 19:30:19 2025 max relations containing the same ideal: 121
  213. Fri Nov 28 19:31:56 2025 removing 6043768 relations and 4043768 ideals in 2000000 cliques
  214. Fri Nov 28 19:32:03 2025 commencing in-memory singleton removal
  215. Fri Nov 28 19:32:27 2025 begin with 297204877 relations and 231883545 unique ideals
  216. Fri Nov 28 19:33:55 2025 reduce to 297102335 relations and 227736269 ideals in 6 passes
  217. Fri Nov 28 19:33:55 2025 max relations containing the same ideal: 121
  218. Fri Nov 28 19:35:28 2025 removing 6044108 relations and 4044108 ideals in 2000000 cliques
  219. Fri Nov 28 19:35:36 2025 commencing in-memory singleton removal
  220. Fri Nov 28 19:36:00 2025 begin with 291058227 relations and 227736269 unique ideals
  221. Fri Nov 28 19:37:25 2025 reduce to 290953546 relations and 223586423 ideals in 6 passes
  222. Fri Nov 28 19:37:25 2025 max relations containing the same ideal: 120
  223. Fri Nov 28 19:38:56 2025 removing 6042709 relations and 4042709 ideals in 2000000 cliques
  224. Fri Nov 28 19:39:03 2025 commencing in-memory singleton removal
  225. Fri Nov 28 19:39:26 2025 begin with 284910837 relations and 223586423 unique ideals
  226. Fri Nov 28 19:40:54 2025 reduce to 284804860 relations and 219436663 ideals in 6 passes
  227. Fri Nov 28 19:40:54 2025 max relations containing the same ideal: 119
  228. Fri Nov 28 19:42:23 2025 removing 6042879 relations and 4042879 ideals in 2000000 cliques
  229. Fri Nov 28 19:42:31 2025 commencing in-memory singleton removal
  230. Fri Nov 28 19:42:54 2025 begin with 278761981 relations and 219436663 unique ideals
  231. Fri Nov 28 19:44:17 2025 reduce to 278653612 relations and 215284331 ideals in 6 passes
  232. Fri Nov 28 19:44:17 2025 max relations containing the same ideal: 117
  233. Fri Nov 28 19:45:44 2025 removing 6045332 relations and 4045332 ideals in 2000000 cliques
  234. Fri Nov 28 19:45:51 2025 commencing in-memory singleton removal
  235. Fri Nov 28 19:46:13 2025 begin with 272608280 relations and 215284331 unique ideals
  236. Fri Nov 28 19:47:33 2025 reduce to 272497044 relations and 211126645 ideals in 6 passes
  237. Fri Nov 28 19:47:33 2025 max relations containing the same ideal: 116
  238. Fri Nov 28 19:48:59 2025 removing 6054183 relations and 4054183 ideals in 2000000 cliques
  239. Fri Nov 28 19:49:06 2025 commencing in-memory singleton removal
  240. Fri Nov 28 19:49:27 2025 begin with 266442861 relations and 211126645 unique ideals
  241. Fri Nov 28 19:50:45 2025 reduce to 266329641 relations and 206958006 ideals in 6 passes
  242. Fri Nov 28 19:50:45 2025 max relations containing the same ideal: 115
  243. Fri Nov 28 19:52:09 2025 removing 6062721 relations and 4062721 ideals in 2000000 cliques
  244. Fri Nov 28 19:52:16 2025 commencing in-memory singleton removal
  245. Fri Nov 28 19:52:37 2025 begin with 260266920 relations and 206958006 unique ideals
  246. Fri Nov 28 19:53:53 2025 reduce to 260151456 relations and 202778684 ideals in 6 passes
  247. Fri Nov 28 19:53:53 2025 max relations containing the same ideal: 112
  248. Fri Nov 28 19:55:15 2025 removing 6065223 relations and 4065223 ideals in 2000000 cliques
  249. Fri Nov 28 19:55:22 2025 commencing in-memory singleton removal
  250. Fri Nov 28 19:55:43 2025 begin with 254086233 relations and 202778684 unique ideals
  251. Fri Nov 28 19:56:45 2025 reduce to 253967282 relations and 198593239 ideals in 5 passes
  252. Fri Nov 28 19:56:45 2025 max relations containing the same ideal: 110
  253. Fri Nov 28 19:58:05 2025 removing 6080180 relations and 4080180 ideals in 2000000 cliques
  254. Fri Nov 28 19:58:12 2025 commencing in-memory singleton removal
  255. Fri Nov 28 19:58:32 2025 begin with 247887102 relations and 198593239 unique ideals
  256. Fri Nov 28 19:59:44 2025 reduce to 247764305 relations and 194388946 ideals in 6 passes
  257. Fri Nov 28 19:59:44 2025 max relations containing the same ideal: 109
  258. Fri Nov 28 20:01:02 2025 removing 6090057 relations and 4090057 ideals in 2000000 cliques
  259. Fri Nov 28 20:01:09 2025 commencing in-memory singleton removal
  260. Fri Nov 28 20:01:28 2025 begin with 241674248 relations and 194388946 unique ideals
  261. Fri Nov 28 20:02:27 2025 reduce to 241548731 relations and 190171951 ideals in 5 passes
  262. Fri Nov 28 20:02:27 2025 max relations containing the same ideal: 106
  263. Fri Nov 28 20:03:44 2025 removing 6101723 relations and 4101723 ideals in 2000000 cliques
  264. Fri Nov 28 20:03:50 2025 commencing in-memory singleton removal
  265. Fri Nov 28 20:04:09 2025 begin with 235447008 relations and 190171951 unique ideals
  266. Fri Nov 28 20:05:16 2025 reduce to 235318815 relations and 185940603 ideals in 6 passes
  267. Fri Nov 28 20:05:16 2025 max relations containing the same ideal: 103
  268. Fri Nov 28 20:06:31 2025 removing 6118900 relations and 4118900 ideals in 2000000 cliques
  269. Fri Nov 28 20:06:37 2025 commencing in-memory singleton removal
  270. Fri Nov 28 20:06:55 2025 begin with 229199915 relations and 185940603 unique ideals
  271. Fri Nov 28 20:08:01 2025 reduce to 229067897 relations and 181688198 ideals in 6 passes
  272. Fri Nov 28 20:08:01 2025 max relations containing the same ideal: 101
  273. Fri Nov 28 20:09:14 2025 removing 6135488 relations and 4135488 ideals in 2000000 cliques
  274. Fri Nov 28 20:09:21 2025 commencing in-memory singleton removal
  275. Fri Nov 28 20:09:38 2025 begin with 222932409 relations and 181688198 unique ideals
  276. Fri Nov 28 20:10:53 2025 reduce to 222795878 relations and 177414528 ideals in 7 passes
  277. Fri Nov 28 20:10:53 2025 max relations containing the same ideal: 99
  278. Fri Nov 28 20:12:04 2025 removing 6155190 relations and 4155190 ideals in 2000000 cliques
  279. Fri Nov 28 20:12:11 2025 commencing in-memory singleton removal
  280. Fri Nov 28 20:12:28 2025 begin with 216640688 relations and 177414528 unique ideals
  281. Fri Nov 28 20:13:20 2025 reduce to 216500379 relations and 173117372 ideals in 5 passes
  282. Fri Nov 28 20:13:20 2025 max relations containing the same ideal: 97
  283. Fri Nov 28 20:14:30 2025 removing 6179061 relations and 4179061 ideals in 2000000 cliques
  284. Fri Nov 28 20:14:36 2025 commencing in-memory singleton removal
  285. Fri Nov 28 20:14:53 2025 begin with 210321318 relations and 173117372 unique ideals
  286. Fri Nov 28 20:15:53 2025 reduce to 210177531 relations and 168792785 ideals in 6 passes
  287. Fri Nov 28 20:15:53 2025 max relations containing the same ideal: 94
  288. Fri Nov 28 20:17:01 2025 removing 6205541 relations and 4205541 ideals in 2000000 cliques
  289. Fri Nov 28 20:17:06 2025 commencing in-memory singleton removal
  290. Fri Nov 28 20:17:23 2025 begin with 203971990 relations and 168792785 unique ideals
  291. Fri Nov 28 20:18:21 2025 reduce to 203822157 relations and 164435560 ideals in 6 passes
  292. Fri Nov 28 20:18:21 2025 max relations containing the same ideal: 93
  293. Fri Nov 28 20:19:27 2025 removing 6234029 relations and 4234029 ideals in 2000000 cliques
  294. Fri Nov 28 20:19:34 2025 commencing in-memory singleton removal
  295. Fri Nov 28 20:19:49 2025 begin with 197588128 relations and 164435560 unique ideals
  296. Fri Nov 28 20:20:54 2025 reduce to 197431790 relations and 160043303 ideals in 7 passes
  297. Fri Nov 28 20:20:54 2025 max relations containing the same ideal: 91
  298. Fri Nov 28 20:21:59 2025 removing 6262423 relations and 4262423 ideals in 2000000 cliques
  299. Fri Nov 28 20:22:04 2025 commencing in-memory singleton removal
  300. Fri Nov 28 20:22:19 2025 begin with 191169367 relations and 160043303 unique ideals
  301. Fri Nov 28 20:23:14 2025 reduce to 191007817 relations and 155617304 ideals in 6 passes
  302. Fri Nov 28 20:23:14 2025 max relations containing the same ideal: 88
  303. Fri Nov 28 20:24:16 2025 removing 6295383 relations and 4295383 ideals in 2000000 cliques
  304. Fri Nov 28 20:24:22 2025 commencing in-memory singleton removal
  305. Fri Nov 28 20:24:37 2025 begin with 184712434 relations and 155617304 unique ideals
  306. Fri Nov 28 20:25:29 2025 reduce to 184544609 relations and 151151924 ideals in 6 passes
  307. Fri Nov 28 20:25:29 2025 max relations containing the same ideal: 87
  308. Fri Nov 28 20:26:29 2025 removing 6336356 relations and 4336356 ideals in 2000000 cliques
  309. Fri Nov 28 20:26:35 2025 commencing in-memory singleton removal
  310. Fri Nov 28 20:26:48 2025 begin with 178208253 relations and 151151924 unique ideals
  311. Fri Nov 28 20:27:38 2025 reduce to 178033179 relations and 146638257 ideals in 6 passes
  312. Fri Nov 28 20:27:38 2025 max relations containing the same ideal: 86
  313. Fri Nov 28 20:28:37 2025 removing 6377886 relations and 4377886 ideals in 2000000 cliques
  314. Fri Nov 28 20:28:42 2025 commencing in-memory singleton removal
  315. Fri Nov 28 20:28:55 2025 begin with 171655293 relations and 146638257 unique ideals
  316. Fri Nov 28 20:29:43 2025 reduce to 171473267 relations and 142075997 ideals in 6 passes
  317. Fri Nov 28 20:29:43 2025 max relations containing the same ideal: 83
  318. Fri Nov 28 20:30:40 2025 removing 6422287 relations and 4422287 ideals in 2000000 cliques
  319. Fri Nov 28 20:30:45 2025 commencing in-memory singleton removal
  320. Fri Nov 28 20:30:57 2025 begin with 165050980 relations and 142075997 unique ideals
  321. Fri Nov 28 20:31:43 2025 reduce to 164860759 relations and 137460902 ideals in 6 passes
  322. Fri Nov 28 20:31:43 2025 max relations containing the same ideal: 80
  323. Fri Nov 28 20:32:37 2025 removing 6472802 relations and 4472802 ideals in 2000000 cliques
  324. Fri Nov 28 20:32:42 2025 commencing in-memory singleton removal
  325. Fri Nov 28 20:32:54 2025 begin with 158387957 relations and 137460902 unique ideals
  326. Fri Nov 28 20:33:45 2025 reduce to 158188123 relations and 132785541 ideals in 7 passes
  327. Fri Nov 28 20:33:45 2025 max relations containing the same ideal: 78
  328. Fri Nov 28 20:34:38 2025 removing 6524415 relations and 4524415 ideals in 2000000 cliques
  329. Fri Nov 28 20:34:42 2025 commencing in-memory singleton removal
  330. Fri Nov 28 20:34:54 2025 begin with 151663708 relations and 132785541 unique ideals
  331. Fri Nov 28 20:35:35 2025 reduce to 151453615 relations and 128048144 ideals in 6 passes
  332. Fri Nov 28 20:35:35 2025 max relations containing the same ideal: 75
  333. Fri Nov 28 20:36:26 2025 removing 6585897 relations and 4585897 ideals in 2000000 cliques
  334. Fri Nov 28 20:36:30 2025 commencing in-memory singleton removal
  335. Fri Nov 28 20:36:41 2025 begin with 144867718 relations and 128048144 unique ideals
  336. Fri Nov 28 20:37:21 2025 reduce to 144645073 relations and 123236535 ideals in 6 passes
  337. Fri Nov 28 20:37:21 2025 max relations containing the same ideal: 74
  338. Fri Nov 28 20:38:10 2025 removing 6651774 relations and 4651774 ideals in 2000000 cliques
  339. Fri Nov 28 20:38:14 2025 commencing in-memory singleton removal
  340. Fri Nov 28 20:38:25 2025 begin with 137993299 relations and 123236535 unique ideals
  341. Fri Nov 28 20:39:09 2025 reduce to 137758832 relations and 118346929 ideals in 7 passes
  342. Fri Nov 28 20:39:09 2025 max relations containing the same ideal: 73
  343. Fri Nov 28 20:39:55 2025 removing 6720211 relations and 4720211 ideals in 2000000 cliques
  344. Fri Nov 28 20:40:00 2025 commencing in-memory singleton removal
  345. Fri Nov 28 20:40:10 2025 begin with 131038621 relations and 118346929 unique ideals
  346. Fri Nov 28 20:40:46 2025 reduce to 130787992 relations and 113372540 ideals in 6 passes
  347. Fri Nov 28 20:40:46 2025 max relations containing the same ideal: 71
  348. Fri Nov 28 20:41:31 2025 removing 6799243 relations and 4799243 ideals in 2000000 cliques
  349. Fri Nov 28 20:41:35 2025 commencing in-memory singleton removal
  350. Fri Nov 28 20:41:45 2025 begin with 123988749 relations and 113372540 unique ideals
  351. Fri Nov 28 20:42:18 2025 reduce to 123720204 relations and 108300798 ideals in 6 passes
  352. Fri Nov 28 20:42:18 2025 max relations containing the same ideal: 68
  353. Fri Nov 28 20:43:01 2025 removing 6882150 relations and 4882150 ideals in 2000000 cliques
  354. Fri Nov 28 20:43:05 2025 commencing in-memory singleton removal
  355. Fri Nov 28 20:43:13 2025 begin with 116838054 relations and 108300798 unique ideals
  356. Fri Nov 28 20:43:50 2025 reduce to 116549895 relations and 103126075 ideals in 7 passes
  357. Fri Nov 28 20:43:50 2025 max relations containing the same ideal: 62
  358. Fri Nov 28 20:44:29 2025 removing 6975605 relations and 4975605 ideals in 2000000 cliques
  359. Fri Nov 28 20:44:32 2025 commencing in-memory singleton removal
  360. Fri Nov 28 20:44:40 2025 begin with 109574290 relations and 103126075 unique ideals
  361. Fri Nov 28 20:45:14 2025 reduce to 109263196 relations and 97834548 ideals in 7 passes
  362. Fri Nov 28 20:45:14 2025 max relations containing the same ideal: 61
  363. Fri Nov 28 20:45:52 2025 removing 7080312 relations and 5080312 ideals in 2000000 cliques
  364. Fri Nov 28 20:45:56 2025 commencing in-memory singleton removal
  365. Fri Nov 28 20:46:03 2025 begin with 102182884 relations and 97834548 unique ideals
  366. Fri Nov 28 20:46:35 2025 reduce to 101841594 relations and 92407441 ideals in 7 passes
  367. Fri Nov 28 20:46:35 2025 max relations containing the same ideal: 57
  368. Fri Nov 28 20:47:10 2025 removing 7190804 relations and 5190804 ideals in 2000000 cliques
  369. Fri Nov 28 20:47:14 2025 commencing in-memory singleton removal
  370. Fri Nov 28 20:47:20 2025 begin with 94650790 relations and 92407441 unique ideals
  371. Fri Nov 28 20:47:49 2025 reduce to 94275957 relations and 86835444 ideals in 7 passes
  372. Fri Nov 28 20:47:49 2025 max relations containing the same ideal: 56
  373. Fri Nov 28 20:48:21 2025 removing 7315080 relations and 5315080 ideals in 2000000 cliques
  374. Fri Nov 28 20:48:25 2025 commencing in-memory singleton removal
  375. Fri Nov 28 20:48:31 2025 begin with 86960877 relations and 86835444 unique ideals
  376. Fri Nov 28 20:49:00 2025 reduce to 86544864 relations and 81096942 ideals in 8 passes
  377. Fri Nov 28 20:49:00 2025 max relations containing the same ideal: 53
  378. Fri Nov 28 20:49:30 2025 removing 3149553 relations and 2447082 ideals in 702471 cliques
  379. Fri Nov 28 20:49:33 2025 commencing in-memory singleton removal
  380. Fri Nov 28 20:49:39 2025 begin with 83395311 relations and 81096942 unique ideals
  381. Fri Nov 28 20:50:03 2025 reduce to 83317048 relations and 78571048 ideals in 7 passes
  382. Fri Nov 28 20:50:03 2025 max relations containing the same ideal: 53
  383. Fri Nov 28 20:50:42 2025 relations with 0 large ideals: 307766
  384. Fri Nov 28 20:50:42 2025 relations with 1 large ideals: 164771
  385. Fri Nov 28 20:50:42 2025 relations with 2 large ideals: 1533683
  386. Fri Nov 28 20:50:42 2025 relations with 3 large ideals: 6878387
  387. Fri Nov 28 20:50:42 2025 relations with 4 large ideals: 16226418
  388. Fri Nov 28 20:50:42 2025 relations with 5 large ideals: 22418222
  389. Fri Nov 28 20:50:42 2025 relations with 6 large ideals: 19178774
  390. Fri Nov 28 20:50:42 2025 relations with 7+ large ideals: 16609027
  391. Fri Nov 28 20:50:42 2025 commencing 2-way merge
  392. Fri Nov 28 20:51:26 2025 reduce to 52822059 relation sets and 48076059 unique ideals
  393. Fri Nov 28 20:51:26 2025 commencing full merge
  394. Fri Nov 28 21:07:39 2025 memory use: 6499.2 MB
  395. Fri Nov 28 21:07:42 2025 found 23562657 cycles, need 23208259
  396. Fri Nov 28 21:07:50 2025 weight of 23208259 cycles is about 3133937197 (135.04/cycle)
  397. Fri Nov 28 21:07:50 2025 distribution of cycle lengths:
  398. Fri Nov 28 21:07:50 2025 1 relations: 1263331
  399. Fri Nov 28 21:07:50 2025 2 relations: 1275800
  400. Fri Nov 28 21:07:50 2025 3 relations: 1381761
  401. Fri Nov 28 21:07:50 2025 4 relations: 1408127
  402. Fri Nov 28 21:07:50 2025 5 relations: 1449147
  403. Fri Nov 28 21:07:50 2025 6 relations: 1464593
  404. Fri Nov 28 21:07:50 2025 7 relations: 1471319
  405. Fri Nov 28 21:07:50 2025 8 relations: 1456086
  406. Fri Nov 28 21:07:50 2025 9 relations: 1416835
  407. Fri Nov 28 21:07:50 2025 10+ relations: 10621260
  408. Fri Nov 28 21:07:50 2025 heaviest cycle: 28 relations
  409. Fri Nov 28 21:07:55 2025 commencing cycle optimization
  410. Fri Nov 28 21:08:37 2025 start with 221010203 relations
  411. Fri Nov 28 21:15:50 2025 pruned 11174078 relations
  412. Fri Nov 28 21:15:51 2025 memory use: 5651.7 MB
  413. Fri Nov 28 21:15:51 2025 distribution of cycle lengths:
  414. Fri Nov 28 21:15:51 2025 1 relations: 1263331
  415. Fri Nov 28 21:15:51 2025 2 relations: 1302967
  416. Fri Nov 28 21:15:51 2025 3 relations: 1434872
  417. Fri Nov 28 21:15:51 2025 4 relations: 1466813
  418. Fri Nov 28 21:15:51 2025 5 relations: 1525920
  419. Fri Nov 28 21:15:51 2025 6 relations: 1545376
  420. Fri Nov 28 21:15:51 2025 7 relations: 1564405
  421. Fri Nov 28 21:15:51 2025 8 relations: 1548534
  422. Fri Nov 28 21:15:51 2025 9 relations: 1512220
  423. Fri Nov 28 21:15:51 2025 10+ relations: 10043821
  424. Fri Nov 28 21:15:51 2025 heaviest cycle: 28 relations
  425. Fri Nov 28 21:17:00 2025 RelProcTime: 38310
  426. Fri Nov 28 21:17:00 2025
  427. Fri Nov 28 21:17:00 2025 commencing linear algebra
  428. Fri Nov 28 21:17:00 2025 using VBITS=256
  429. Fri Nov 28 21:17:02 2025 read 23208259 cycles
  430. Fri Nov 28 21:17:58 2025 cycles contain 81061621 unique relations
  431. Fri Nov 28 21:38:10 2025 read 81061621 relations
  432. Fri Nov 28 21:40:57 2025 using 20 quadratic characters above 4294917295
  433. Fri Nov 28 21:47:12 2025 building initial matrix
  434. Fri Nov 28 22:18:44 2025 memory use: 10846.8 MB
  435. Fri Nov 28 22:18:59 2025 read 23208259 cycles
  436. Fri Nov 28 22:19:02 2025 matrix is 23208079 x 23208259 (12144.2 MB) with weight 3452747302 (148.77/col)
  437. Fri Nov 28 22:19:02 2025 sparse part has weight 2928246642 (126.17/col)
  438. Fri Nov 28 22:24:58 2025 filtering completed in 2 passes
  439. Fri Nov 28 22:25:02 2025 matrix is 23207115 x 23207282 (12144.1 MB) with weight 3452701900 (148.78/col)
  440. Fri Nov 28 22:25:02 2025 sparse part has weight 2928223901 (126.18/col)
  441. Fri Nov 28 22:35:10 2025 matrix starts at (0, 0)
  442. Fri Nov 28 22:35:13 2025 matrix is 23207115 x 23207282 (12144.1 MB) with weight 3452701900 (148.78/col)
  443. Fri Nov 28 22:35:13 2025 sparse part has weight 2928223901 (126.18/col)
  444. Fri Nov 28 22:35:13 2025 saving the first 240 matrix rows for later
  445. Fri Nov 28 22:35:19 2025 matrix includes 256 packed rows
  446. Fri Nov 28 22:35:30 2025 matrix is 23206875 x 23207282 (11210.8 MB) with weight 2689548612 (115.89/col)
  447. Fri Nov 28 22:35:30 2025 sparse part has weight 2567537595 (110.63/col)
  448. Fri Nov 28 22:35:31 2025 using GPU 1 (NVIDIA L40S)
  449. Fri Nov 28 22:35:31 2025 selected card has CUDA arch 8.9
  450. Fri Nov 28 22:40:50 2025 commencing Lanczos iteration
  451. Fri Nov 28 22:40:52 2025 memory use: 25608.7 MB
  452. Fri Nov 28 22:43:48 2025 linear algebra at 0.1%, ETA 36h46m
  453. Fri Nov 28 22:48:11 2025 checking every 10000 dimensions, checkpointing every 320000 dimensions
  454. Sat Nov 29 14:06:55 2025 lanczos halted after 90925 iterations (dim = 23206875)
  455. Sat Nov 29 14:08:33 2025 recovered 40 nontrivial dependencies
  456. Sat Nov 29 14:08:33 2025 BLanczosTime: 60693
  457. Sat Nov 29 14:08:33 2025
  458. Sat Nov 29 14:08:33 2025 commencing square root phase
  459. Sat Nov 29 14:08:33 2025 handling dependencies 1 to 64
  460. Sat Nov 29 14:08:33 2025 reading relations for dependency 1
  461. Sat Nov 29 14:08:39 2025 read 11604074 cycles
  462. Sat Nov 29 14:09:06 2025 cycles contain 40534174 unique relations
  463. Sat Nov 29 14:27:55 2025 read 40534174 relations
  464. Sat Nov 29 14:31:34 2025 multiplying 40534174 relations
  465. Sat Nov 29 15:03:40 2025 multiply complete, coefficients have about 1127.13 million bits
  466. Sat Nov 29 15:03:43 2025 initial square root is modulo 113783
  467. Sat Nov 29 15:27:49 2025 GCD is N, no factor found
  468. Sat Nov 29 15:08:12 2025
  469. Sat Nov 29 15:08:12 2025 Msieve v. 1.54 (SVN 1040M)
  470. Sat Nov 29 15:08:12 2025 random seeds: a3f57b8c 32926b5e
  471. Sat Nov 29 15:08:12 2025 factoring 531278195152430657494032307165739143082653445603378543786855956937702765823881130430220525334527625190705795763948118207782930439792900228130409054555067740641351841678022821210799430139622634560390593804762823332311601603667651595466233488133 (243 digits)
  472. Sat Nov 29 15:08:14 2025 searching for 15-digit factors
  473. Sat Nov 29 15:08:14 2025 commencing number field sieve (243-digit input)
  474. Sat Nov 29 15:08:14 2025 R0: -275546143282785844218295114048973991262329549079
  475. Sat Nov 29 15:08:14 2025 R1: 1
  476. Sat Nov 29 15:08:14 2025 A0: 1
  477. Sat Nov 29 15:08:14 2025 A1: 0
  478. Sat Nov 29 15:08:14 2025 A2: 6
  479. Sat Nov 29 15:08:14 2025 A3: 0
  480. Sat Nov 29 15:08:14 2025 A4: 5
  481. Sat Nov 29 15:08:14 2025 A5: 0
  482. Sat Nov 29 15:08:14 2025 A6: 1
  483. Sat Nov 29 15:08:14 2025 skew 1.54, size 5.400e-14, alpha 1.743, combined = 1.251e-14 rroots = 0
  484. Sat Nov 29 15:08:14 2025
  485. Sat Nov 29 15:08:14 2025 commencing square root phase
  486. Sat Nov 29 15:08:14 2025 handling dependencies 5 to 9
  487. Sat Nov 29 15:08:14 2025 reading relations for dependency 5
  488. Sat Nov 29 15:08:17 2025 read 11604580 cycles
  489. Sat Nov 29 15:08:47 2025 cycles contain 40531108 unique relations
  490. Sat Nov 29 15:27:14 2025 read 40531108 relations
  491. Sat Nov 29 15:29:57 2025 multiplying 40531108 relations
  492. Sat Nov 29 15:54:14 2025 multiply complete, coefficients have about 1127.05 million bits
  493. Sat Nov 29 15:54:17 2025 initial square root is modulo 113683
  494. Sat Nov 29 16:20:45 2025 sqrtTime: 4351
  495. Sat Nov 29 16:20:45 2025 p99 factor: 144822218511993544992044131835445286740762556607443469403014792765330799184976466543799447297098133
  496. Sat Nov 29 16:20:45 2025 p145 factor: 3668485406529195744354427842506465956807958415818197314219611444989632169421333999604499039916123964444198141237039779578352229879873202342830001
  497. Sat Nov 29 16:20:45 2025 elapsed time 01:12:33
  498.  
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