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Dec 8th, 2025
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  1. Sat Oct 18 09:55:03 2025
  2. Sat Oct 18 09:55:03 2025
  3. Sat Oct 18 09:55:03 2025 Msieve v. 1.54 (SVN unknown)
  4. Sat Oct 18 09:55:03 2025 random seeds: 9d81f363 4a7df077
  5. Sat Oct 18 09:55:03 2025 factoring 1502792297663175168705097374020767212449045398111145183699666215490281787288515334290096466535071696655599095200360443205629904583028778855989001479473893938184279151456573787933312158415790370805846792826998829294944758529530645446230639489615214249453786692203 (262 digits)
  6. Sat Oct 18 09:55:05 2025 no P-1/P+1/ECM available, skipping
  7. Sat Oct 18 09:55:05 2025 commencing number field sieve (262-digit input)
  8. Sat Oct 18 09:55:05 2025 R0: 2923003274661805836407369665432566039311865085952
  9. Sat Oct 18 09:55:05 2025 R1: -1
  10. Sat Oct 18 09:55:05 2025 A0: -1
  11. Sat Oct 18 09:55:05 2025 A1: 0
  12. Sat Oct 18 09:55:05 2025 A2: 0
  13. Sat Oct 18 09:55:05 2025 A3: 0
  14. Sat Oct 18 09:55:05 2025 A4: 0
  15. Sat Oct 18 09:55:05 2025 A5: 0
  16. Sat Oct 18 09:55:05 2025 A6: 52
  17. Sat Oct 18 09:55:05 2025 skew 0.68, size 2.318e-14, alpha 1.164, combined = 6.453e-15 rroots = 2
  18. Sat Oct 18 09:55:05 2025
  19. Sat Oct 18 09:55:05 2025 commencing relation filtering
  20. Sat Oct 18 09:55:05 2025 setting target matrix density to 115.0
  21. Sat Oct 18 09:55:05 2025 estimated available RAM is 128741.5 MB
  22. Sat Oct 18 09:55:05 2025 commencing duplicate removal, pass 1
  23. Sat Oct 18 10:58:51 2025 error -11 reading relation 252678092
  24. [....]
  25. Sat Oct 18 14:59:32 2025 error -1 reading relation 1224235352
  26. Sat Oct 18 14:59:32 2025 error -1 reading relation 1224239222
  27. Sat Oct 18 14:59:32 2025 skipped 149010 relations with b > 2^32
  28. Sat Oct 18 14:59:32 2025 found 41615596 hash collisions in 1224070383 relations
  29. Sat Oct 18 14:59:59 2025 added 1218668 free relations
  30. Sat Oct 18 14:59:59 2025 commencing duplicate removal, pass 2
  31. Sat Oct 18 15:17:11 2025 found 0 duplicates and 1225289051 unique relations
  32. Sat Oct 18 15:17:11 2025 memory use: 4179.0 MB
  33. Sat Oct 18 15:17:12 2025 reading ideals above 516489216
  34. Sat Oct 18 15:17:12 2025 commencing singleton removal, initial pass
  35. Sat Oct 18 19:55:48 2025 memory use: 21024.0 MB
  36. Sat Oct 18 19:55:51 2025 reading all ideals from disk
  37. Sat Oct 18 19:58:32 2025 memory use: 32321.0 MB
  38. Sat Oct 18 20:01:32 2025 commencing in-memory singleton removal
  39. Sat Oct 18 20:10:52 2025 begin with 1225289051 relations and 1103044962 unique ideals
  40. Sat Oct 18 22:52:02 2025 reduce to 698622622 relations and 514737976 ideals in 17 passes
  41. Sat Oct 18 22:52:02 2025 max relations containing the same ideal: 33
  42. Sat Oct 18 22:52:49 2025 reading ideals above 720000
  43. Sat Oct 18 22:52:57 2025 commencing singleton removal, initial pass
  44. Sun Oct 19 02:07:03 2025 memory use: 11024.0 MB
  45. Sun Oct 19 02:07:04 2025 reading all ideals from disk
  46. Sun Oct 19 02:11:07 2025 memory use: 36449.7 MB
  47. Sun Oct 19 02:15:05 2025 keeping 565053577 ideals with weight <= 200, target excess is 4029298
  48. Sun Oct 19 02:18:59 2025 commencing in-memory singleton removal
  49. Sun Oct 19 02:24:38 2025 begin with 698622622 relations and 565053577 unique ideals
  50. Sun Oct 19 02:39:30 2025 reduce to 698620784 relations and 565051739 ideals in 7 passes
  51. Sun Oct 19 02:39:30 2025 max relations containing the same ideal: 200
  52. Sun Oct 19 02:54:24 2025 removing 18163100 relations and 16163100 ideals in 2000000 cliques
  53. Sun Oct 19 02:55:03 2025 commencing in-memory singleton removal
  54. Sun Oct 19 02:59:52 2025 begin with 680457684 relations and 565051739 unique ideals
  55. Sun Oct 19 03:13:45 2025 reduce to 680120890 relations and 548550359 ideals in 8 passes
  56. Sun Oct 19 03:13:45 2025 max relations containing the same ideal: 200
  57. Sun Oct 19 06:10:39 2025 removing 13596829 relations and 11596829 ideals in 2000000 cliques
  58. Sun Oct 19 06:19:40 2025 commencing in-memory singleton removal
  59. Sun Oct 19 06:24:13 2025 begin with 666524061 relations and 548550359 unique ideals
  60. Sun Oct 19 06:37:18 2025 reduce to 666317233 relations and 536745940 ideals in 8 passes
  61. Sun Oct 19 06:37:18 2025 max relations containing the same ideal: 200
  62. Sun Oct 19 06:57:42 2025 removing 12115136 relations and 10115136 ideals in 2000000 cliques
  63. Sun Oct 19 06:58:55 2025 commencing in-memory singleton removal
  64. Sun Oct 19 07:03:28 2025 begin with 654202097 relations and 536745940 unique ideals
  65. Sun Oct 19 07:14:53 2025 reduce to 654030954 relations and 526459057 ideals in 7 passes
  66. Sun Oct 19 07:14:53 2025 max relations containing the same ideal: 199
  67. Sun Oct 19 07:46:20 2025 removing 11252963 relations and 9252963 ideals in 2000000 cliques
  68. Sun Oct 19 07:49:25 2025 commencing in-memory singleton removal
  69. Sun Oct 19 07:53:59 2025 begin with 642777991 relations and 526459057 unique ideals
  70. Sun Oct 19 08:05:13 2025 reduce to 642625982 relations and 517053583 ideals in 7 passes
  71. Sun Oct 19 08:05:13 2025 max relations containing the same ideal: 198
  72. Sun Oct 19 08:33:01 2025 removing 10654556 relations and 8654556 ideals in 2000000 cliques
  73. Sun Oct 19 08:40:38 2025 commencing in-memory singleton removal
  74. Sun Oct 19 08:44:56 2025 begin with 631971426 relations and 517053583 unique ideals
  75. Sun Oct 19 08:57:16 2025 reduce to 631831565 relations and 508258701 ideals in 8 passes
  76. Sun Oct 19 08:57:16 2025 max relations containing the same ideal: 196
  77. Sun Oct 19 09:09:22 2025 removing 10207452 relations and 8207452 ideals in 2000000 cliques
  78. Sun Oct 19 09:10:50 2025 commencing in-memory singleton removal
  79. Sun Oct 19 09:14:59 2025 begin with 621624113 relations and 508258701 unique ideals
  80. Sun Oct 19 09:25:32 2025 reduce to 621492522 relations and 499919242 ideals in 7 passes
  81. Sun Oct 19 09:25:32 2025 max relations containing the same ideal: 194
  82. Sun Oct 19 09:37:22 2025 removing 9857660 relations and 7857660 ideals in 2000000 cliques
  83. Sun Oct 19 09:37:48 2025 commencing in-memory singleton removal
  84. Sun Oct 19 09:41:59 2025 begin with 611634862 relations and 499919242 unique ideals
  85. Sun Oct 19 09:52:20 2025 reduce to 611508805 relations and 491935106 ideals in 7 passes
  86. Sun Oct 19 09:52:20 2025 max relations containing the same ideal: 192
  87. Sun Oct 19 10:03:41 2025 removing 9570072 relations and 7570072 ideals in 2000000 cliques
  88. Sun Oct 19 10:04:08 2025 commencing in-memory singleton removal
  89. Sun Oct 19 10:08:20 2025 begin with 601938733 relations and 491935106 unique ideals
  90. Sun Oct 19 10:18:34 2025 reduce to 601817661 relations and 484243518 ideals in 7 passes
  91. Sun Oct 19 10:18:34 2025 max relations containing the same ideal: 191
  92. Sun Oct 19 10:29:47 2025 removing 9329378 relations and 7329378 ideals in 2000000 cliques
  93. Sun Oct 19 10:30:09 2025 commencing in-memory singleton removal
  94. Sun Oct 19 10:34:10 2025 begin with 592488283 relations and 484243518 unique ideals
  95. Sun Oct 19 10:44:02 2025 reduce to 592370981 relations and 476796466 ideals in 7 passes
  96. Sun Oct 19 10:44:02 2025 max relations containing the same ideal: 190
  97. Sun Oct 19 10:59:35 2025 removing 9130421 relations and 7130421 ideals in 2000000 cliques
  98. Sun Oct 19 10:59:58 2025 commencing in-memory singleton removal
  99. Sun Oct 19 11:03:58 2025 begin with 583240560 relations and 476796466 unique ideals
  100. Sun Oct 19 11:12:19 2025 reduce to 583125382 relations and 469550492 ideals in 6 passes
  101. Sun Oct 19 11:12:19 2025 max relations containing the same ideal: 188
  102. Sun Oct 19 11:23:25 2025 removing 8954506 relations and 6954506 ideals in 2000000 cliques
  103. Sun Oct 19 11:23:48 2025 commencing in-memory singleton removal
  104. Sun Oct 19 11:27:37 2025 begin with 574170876 relations and 469550492 unique ideals
  105. Sun Oct 19 11:35:46 2025 reduce to 574058524 relations and 462483226 ideals in 6 passes
  106. Sun Oct 19 11:35:46 2025 max relations containing the same ideal: 188
  107. Sun Oct 19 11:46:23 2025 removing 8800798 relations and 6800798 ideals in 2000000 cliques
  108. Sun Oct 19 11:46:48 2025 commencing in-memory singleton removal
  109. Sun Oct 19 11:50:41 2025 begin with 565257726 relations and 462483226 unique ideals
  110. Sun Oct 19 12:01:19 2025 reduce to 565147087 relations and 455571378 ideals in 8 passes
  111. Sun Oct 19 12:01:19 2025 max relations containing the same ideal: 186
  112. Sun Oct 19 12:12:01 2025 removing 8672374 relations and 6672374 ideals in 2000000 cliques
  113. Sun Oct 19 12:12:24 2025 commencing in-memory singleton removal
  114. Sun Oct 19 12:16:09 2025 begin with 556474713 relations and 455571378 unique ideals
  115. Sun Oct 19 12:25:25 2025 reduce to 556364694 relations and 448788610 ideals in 7 passes
  116. Sun Oct 19 12:25:25 2025 max relations containing the same ideal: 185
  117. Sun Oct 19 12:35:46 2025 removing 8549715 relations and 6549715 ideals in 2000000 cliques
  118. Sun Oct 19 12:36:10 2025 commencing in-memory singleton removal
  119. Sun Oct 19 12:39:54 2025 begin with 547814979 relations and 448788610 unique ideals
  120. Sun Oct 19 12:48:52 2025 reduce to 547706681 relations and 442130170 ideals in 7 passes
  121. Sun Oct 19 12:48:52 2025 max relations containing the same ideal: 182
  122. Sun Oct 19 12:59:21 2025 removing 8450692 relations and 6450692 ideals in 2000000 cliques
  123. Sun Oct 19 12:59:43 2025 commencing in-memory singleton removal
  124. Sun Oct 19 13:03:27 2025 begin with 539255989 relations and 442130170 unique ideals
  125. Sun Oct 19 13:13:40 2025 reduce to 539146533 relations and 435569598 ideals in 8 passes
  126. Sun Oct 19 13:13:40 2025 max relations containing the same ideal: 180
  127. Sun Oct 19 13:23:50 2025 removing 8350512 relations and 6350512 ideals in 2000000 cliques
  128. Sun Oct 19 13:24:10 2025 commencing in-memory singleton removal
  129. Sun Oct 19 13:27:37 2025 begin with 530796021 relations and 435569598 unique ideals
  130. Sun Oct 19 13:34:49 2025 reduce to 530687651 relations and 429110336 ideals in 6 passes
  131. Sun Oct 19 13:34:49 2025 max relations containing the same ideal: 178
  132. Sun Oct 19 13:44:34 2025 removing 8272046 relations and 6272046 ideals in 2000000 cliques
  133. Sun Oct 19 13:44:55 2025 commencing in-memory singleton removal
  134. Sun Oct 19 13:48:25 2025 begin with 522415605 relations and 429110336 unique ideals
  135. Sun Oct 19 13:56:49 2025 reduce to 522308818 relations and 422731100 ideals in 7 passes
  136. Sun Oct 19 13:56:49 2025 max relations containing the same ideal: 178
  137. Sun Oct 19 14:06:37 2025 removing 8193240 relations and 6193240 ideals in 2000000 cliques
  138. Sun Oct 19 14:06:57 2025 commencing in-memory singleton removal
  139. Sun Oct 19 14:10:24 2025 begin with 514115578 relations and 422731100 unique ideals
  140. Sun Oct 19 14:17:26 2025 reduce to 514008700 relations and 416430542 ideals in 6 passes
  141. Sun Oct 19 14:17:26 2025 max relations containing the same ideal: 176
  142. Sun Oct 19 14:26:53 2025 removing 8123443 relations and 6123443 ideals in 2000000 cliques
  143. Sun Oct 19 14:27:15 2025 commencing in-memory singleton removal
  144. Sun Oct 19 14:30:45 2025 begin with 505885257 relations and 416430542 unique ideals
  145. Sun Oct 19 14:37:51 2025 reduce to 505777460 relations and 410198846 ideals in 6 passes
  146. Sun Oct 19 14:37:51 2025 max relations containing the same ideal: 175
  147. Sun Oct 19 14:47:13 2025 removing 8062941 relations and 6062941 ideals in 2000000 cliques
  148. Sun Oct 19 14:47:32 2025 commencing in-memory singleton removal
  149. Sun Oct 19 14:50:57 2025 begin with 497714519 relations and 410198846 unique ideals
  150. Sun Oct 19 14:57:53 2025 reduce to 497606802 relations and 404027707 ideals in 6 passes
  151. Sun Oct 19 14:57:53 2025 max relations containing the same ideal: 174
  152. Sun Oct 19 15:07:03 2025 removing 8004104 relations and 6004104 ideals in 2000000 cliques
  153. Sun Oct 19 15:07:22 2025 commencing in-memory singleton removal
  154. Sun Oct 19 15:10:35 2025 begin with 489602698 relations and 404027707 unique ideals
  155. Sun Oct 19 15:19:20 2025 reduce to 489494101 relations and 397914571 ideals in 8 passes
  156. Sun Oct 19 15:19:20 2025 max relations containing the same ideal: 172
  157. Sun Oct 19 15:28:24 2025 removing 7955537 relations and 5955537 ideals in 2000000 cliques
  158. Sun Oct 19 15:28:42 2025 commencing in-memory singleton removal
  159. Sun Oct 19 15:31:58 2025 begin with 481538564 relations and 397914571 unique ideals
  160. Sun Oct 19 15:39:41 2025 reduce to 481428667 relations and 391848618 ideals in 7 passes
  161. Sun Oct 19 15:39:41 2025 max relations containing the same ideal: 168
  162. Sun Oct 19 15:48:31 2025 removing 7907729 relations and 5907729 ideals in 2000000 cliques
  163. Sun Oct 19 15:48:51 2025 commencing in-memory singleton removal
  164. Sun Oct 19 15:51:56 2025 begin with 473520938 relations and 391848618 unique ideals
  165. Sun Oct 19 15:58:32 2025 reduce to 473411242 relations and 385830659 ideals in 6 passes
  166. Sun Oct 19 15:58:32 2025 max relations containing the same ideal: 166
  167. Sun Oct 19 16:07:20 2025 removing 7866457 relations and 5866457 ideals in 2000000 cliques
  168. Sun Oct 19 16:07:39 2025 commencing in-memory singleton removal
  169. Sun Oct 19 16:10:42 2025 begin with 465544785 relations and 385830659 unique ideals
  170. Sun Oct 19 16:19:12 2025 reduce to 465434769 relations and 379853633 ideals in 8 passes
  171. Sun Oct 19 16:19:12 2025 max relations containing the same ideal: 164
  172. Sun Oct 19 16:27:56 2025 removing 7829736 relations and 5829736 ideals in 2000000 cliques
  173. Sun Oct 19 16:28:18 2025 commencing in-memory singleton removal
  174. Sun Oct 19 16:31:19 2025 begin with 457605033 relations and 379853633 unique ideals
  175. Sun Oct 19 16:37:29 2025 reduce to 457493335 relations and 373911592 ideals in 6 passes
  176. Sun Oct 19 16:37:29 2025 max relations containing the same ideal: 162
  177. Sun Oct 19 16:45:56 2025 removing 7796858 relations and 5796858 ideals in 2000000 cliques
  178. Sun Oct 19 16:46:13 2025 commencing in-memory singleton removal
  179. Sun Oct 19 16:49:09 2025 begin with 449696477 relations and 373911592 unique ideals
  180. Sun Oct 19 16:55:04 2025 reduce to 449584994 relations and 368002653 ideals in 6 passes
  181. Sun Oct 19 16:55:04 2025 max relations containing the same ideal: 161
  182. Sun Oct 19 17:03:33 2025 removing 7766652 relations and 5766652 ideals in 2000000 cliques
  183. Sun Oct 19 17:03:49 2025 commencing in-memory singleton removal
  184. Sun Oct 19 17:06:42 2025 begin with 441818342 relations and 368002653 unique ideals
  185. Sun Oct 19 17:12:29 2025 reduce to 441704686 relations and 362121787 ideals in 6 passes
  186. Sun Oct 19 17:12:29 2025 max relations containing the same ideal: 160
  187. Sun Oct 19 17:20:47 2025 removing 7736389 relations and 5736389 ideals in 2000000 cliques
  188. Sun Oct 19 17:21:04 2025 commencing in-memory singleton removal
  189. Sun Oct 19 17:24:02 2025 begin with 433968297 relations and 362121787 unique ideals
  190. Sun Oct 19 17:30:03 2025 reduce to 433853914 relations and 356270410 ideals in 6 passes
  191. Sun Oct 19 17:30:03 2025 max relations containing the same ideal: 159
  192. Sun Oct 19 17:38:10 2025 removing 7712410 relations and 5712410 ideals in 2000000 cliques
  193. Sun Oct 19 17:38:27 2025 commencing in-memory singleton removal
  194. Sun Oct 19 17:41:10 2025 begin with 426141504 relations and 356270410 unique ideals
  195. Sun Oct 19 17:46:47 2025 reduce to 426025224 relations and 350441035 ideals in 6 passes
  196. Sun Oct 19 17:46:47 2025 max relations containing the same ideal: 158
  197. Sun Oct 19 17:54:38 2025 removing 7690039 relations and 5690039 ideals in 2000000 cliques
  198. Sun Oct 19 17:54:54 2025 commencing in-memory singleton removal
  199. Sun Oct 19 17:57:40 2025 begin with 418335185 relations and 350441035 unique ideals
  200. Sun Oct 19 18:04:17 2025 reduce to 418217224 relations and 344632348 ideals in 7 passes
  201. Sun Oct 19 18:04:17 2025 max relations containing the same ideal: 154
  202. Sun Oct 19 18:12:03 2025 removing 7668408 relations and 5668408 ideals in 2000000 cliques
  203. Sun Oct 19 18:12:21 2025 commencing in-memory singleton removal
  204. Sun Oct 19 18:15:03 2025 begin with 410548816 relations and 344632348 unique ideals
  205. Sun Oct 19 18:20:38 2025 reduce to 410429060 relations and 338843475 ideals in 6 passes
  206. Sun Oct 19 18:20:38 2025 max relations containing the same ideal: 152
  207. Sun Oct 19 18:28:11 2025 removing 7652513 relations and 5652513 ideals in 2000000 cliques
  208. Sun Oct 19 18:28:26 2025 commencing in-memory singleton removal
  209. Sun Oct 19 18:31:07 2025 begin with 402776547 relations and 338843475 unique ideals
  210. Sun Oct 19 18:37:37 2025 reduce to 402655184 relations and 333068876 ideals in 7 passes
  211. Sun Oct 19 18:37:37 2025 max relations containing the same ideal: 149
  212. Sun Oct 19 18:45:04 2025 removing 7638865 relations and 5638865 ideals in 2000000 cliques
  213. Sun Oct 19 18:45:19 2025 commencing in-memory singleton removal
  214. Sun Oct 19 18:47:55 2025 begin with 395016319 relations and 333068876 unique ideals
  215. Sun Oct 19 18:53:06 2025 reduce to 394893529 relations and 327306514 ideals in 6 passes
  216. Sun Oct 19 18:53:06 2025 max relations containing the same ideal: 147
  217. Sun Oct 19 19:00:24 2025 removing 7632309 relations and 5632309 ideals in 2000000 cliques
  218. Sun Oct 19 19:00:39 2025 commencing in-memory singleton removal
  219. Sun Oct 19 19:03:09 2025 begin with 387261220 relations and 327306514 unique ideals
  220. Sun Oct 19 19:09:47 2025 reduce to 387135942 relations and 321548190 ideals in 6 passes
  221. Sun Oct 19 19:09:47 2025 max relations containing the same ideal: 145
  222. Sun Oct 19 19:19:13 2025 removing 7617780 relations and 5617780 ideals in 2000000 cliques
  223. Sun Oct 19 19:19:35 2025 commencing in-memory singleton removal
  224. Sun Oct 19 19:22:14 2025 begin with 379518162 relations and 321548190 unique ideals
  225. Sun Oct 19 19:27:18 2025 reduce to 379390951 relations and 315802386 ideals in 6 passes
  226. Sun Oct 19 19:27:18 2025 max relations containing the same ideal: 144
  227. Sun Oct 19 19:34:15 2025 removing 7613431 relations and 5613431 ideals in 2000000 cliques
  228. Sun Oct 19 19:34:30 2025 commencing in-memory singleton removal
  229. Sun Oct 19 19:36:53 2025 begin with 371777520 relations and 315802386 unique ideals
  230. Sun Oct 19 19:41:37 2025 reduce to 371647930 relations and 310058538 ideals in 6 passes
  231. Sun Oct 19 19:41:37 2025 max relations containing the same ideal: 142
  232. Sun Oct 19 19:48:34 2025 removing 7609782 relations and 5609782 ideals in 2000000 cliques
  233. Sun Oct 19 19:48:49 2025 commencing in-memory singleton removal
  234. Sun Oct 19 19:51:06 2025 begin with 364038148 relations and 310058538 unique ideals
  235. Sun Oct 19 19:56:21 2025 reduce to 363906301 relations and 304316090 ideals in 7 passes
  236. Sun Oct 19 19:56:21 2025 max relations containing the same ideal: 142
  237. Sun Oct 19 20:02:57 2025 removing 7609541 relations and 5609541 ideals in 2000000 cliques
  238. Sun Oct 19 20:03:15 2025 commencing in-memory singleton removal
  239. Sun Oct 19 20:05:30 2025 begin with 356296760 relations and 304316090 unique ideals
  240. Sun Oct 19 20:10:07 2025 reduce to 356161907 relations and 298570816 ideals in 6 passes
  241. Sun Oct 19 20:10:07 2025 max relations containing the same ideal: 139
  242. Sun Oct 19 20:16:28 2025 removing 7605297 relations and 5605297 ideals in 2000000 cliques
  243. Sun Oct 19 20:16:46 2025 commencing in-memory singleton removal
  244. Sun Oct 19 20:19:01 2025 begin with 348556610 relations and 298570816 unique ideals
  245. Sun Oct 19 20:23:21 2025 reduce to 348419388 relations and 292827368 ideals in 6 passes
  246. Sun Oct 19 20:23:21 2025 max relations containing the same ideal: 136
  247. Sun Oct 19 20:29:33 2025 removing 7607755 relations and 5607755 ideals in 2000000 cliques
  248. Sun Oct 19 20:29:47 2025 commencing in-memory singleton removal
  249. Sun Oct 19 20:31:55 2025 begin with 340811633 relations and 292827368 unique ideals
  250. Sun Oct 19 20:36:58 2025 reduce to 340671739 relations and 287078769 ideals in 7 passes
  251. Sun Oct 19 20:36:58 2025 max relations containing the same ideal: 135
  252. Sun Oct 19 20:43:14 2025 removing 7612043 relations and 5612043 ideals in 2000000 cliques
  253. Sun Oct 19 20:43:28 2025 commencing in-memory singleton removal
  254. Sun Oct 19 20:45:38 2025 begin with 333059696 relations and 287078769 unique ideals
  255. Sun Oct 19 20:49:45 2025 reduce to 332916917 relations and 281322968 ideals in 6 passes
  256. Sun Oct 19 20:49:45 2025 max relations containing the same ideal: 131
  257. Sun Oct 19 20:55:44 2025 removing 7619751 relations and 5619751 ideals in 2000000 cliques
  258. Sun Oct 19 20:55:56 2025 commencing in-memory singleton removal
  259. Sun Oct 19 20:57:57 2025 begin with 325297166 relations and 281322968 unique ideals
  260. Sun Oct 19 21:02:34 2025 reduce to 325150946 relations and 275556006 ideals in 7 passes
  261. Sun Oct 19 21:02:34 2025 max relations containing the same ideal: 129
  262. Sun Oct 19 21:08:22 2025 removing 7628522 relations and 5628522 ideals in 2000000 cliques
  263. Sun Oct 19 21:08:36 2025 commencing in-memory singleton removal
  264. Sun Oct 19 21:10:35 2025 begin with 317522424 relations and 275556006 unique ideals
  265. Sun Oct 19 21:14:35 2025 reduce to 317372250 relations and 269776203 ideals in 6 passes
  266. Sun Oct 19 21:14:35 2025 max relations containing the same ideal: 127
  267. Sun Oct 19 21:20:19 2025 removing 7639743 relations and 5639743 ideals in 2000000 cliques
  268. Sun Oct 19 21:20:34 2025 commencing in-memory singleton removal
  269. Sun Oct 19 21:22:37 2025 begin with 309732507 relations and 269776203 unique ideals
  270. Sun Oct 19 21:26:38 2025 reduce to 309577618 relations and 263980420 ideals in 6 passes
  271. Sun Oct 19 21:26:38 2025 max relations containing the same ideal: 126
  272. Sun Oct 19 21:32:17 2025 removing 7654089 relations and 5654089 ideals in 2000000 cliques
  273. Sun Oct 19 21:32:29 2025 commencing in-memory singleton removal
  274. Sun Oct 19 21:34:21 2025 begin with 301923529 relations and 263980420 unique ideals
  275. Sun Oct 19 21:38:42 2025 reduce to 301764939 relations and 258166498 ideals in 7 passes
  276. Sun Oct 19 21:38:42 2025 max relations containing the same ideal: 124
  277. Sun Oct 19 21:44:17 2025 removing 7666500 relations and 5666500 ideals in 2000000 cliques
  278. Sun Oct 19 21:44:29 2025 commencing in-memory singleton removal
  279. Sun Oct 19 21:46:20 2025 begin with 294098439 relations and 258166498 unique ideals
  280. Sun Oct 19 21:50:52 2025 reduce to 293935861 relations and 252336199 ideals in 7 passes
  281. Sun Oct 19 21:50:52 2025 max relations containing the same ideal: 123
  282. Sun Oct 19 21:56:19 2025 removing 7688526 relations and 5688526 ideals in 2000000 cliques
  283. Sun Oct 19 21:56:31 2025 commencing in-memory singleton removal
  284. Sun Oct 19 21:58:17 2025 begin with 286247335 relations and 252336199 unique ideals
  285. Sun Oct 19 22:02:22 2025 reduce to 286079759 relations and 246478746 ideals in 7 passes
  286. Sun Oct 19 22:02:22 2025 max relations containing the same ideal: 121
  287. Sun Oct 19 22:07:33 2025 removing 7709792 relations and 5709792 ideals in 2000000 cliques
  288. Sun Oct 19 22:07:44 2025 commencing in-memory singleton removal
  289. Sun Oct 19 22:09:27 2025 begin with 278369967 relations and 246478746 unique ideals
  290. Sun Oct 19 22:13:14 2025 reduce to 278197785 relations and 240595411 ideals in 7 passes
  291. Sun Oct 19 22:13:14 2025 max relations containing the same ideal: 118
  292. Sun Oct 19 22:18:21 2025 removing 7742137 relations and 5742137 ideals in 2000000 cliques
  293. Sun Oct 19 22:18:32 2025 commencing in-memory singleton removal
  294. Sun Oct 19 22:20:10 2025 begin with 270455648 relations and 240595411 unique ideals
  295. Sun Oct 19 22:23:28 2025 reduce to 270276263 relations and 234672412 ideals in 6 passes
  296. Sun Oct 19 22:23:28 2025 max relations containing the same ideal: 116
  297. Sun Oct 19 22:28:19 2025 removing 7770977 relations and 5770977 ideals in 2000000 cliques
  298. Sun Oct 19 22:28:30 2025 commencing in-memory singleton removal
  299. Sun Oct 19 22:30:09 2025 begin with 262505286 relations and 234672412 unique ideals
  300. Sun Oct 19 22:33:19 2025 reduce to 262320604 relations and 228715230 ideals in 6 passes
  301. Sun Oct 19 22:33:19 2025 max relations containing the same ideal: 114
  302. Sun Oct 19 22:38:08 2025 removing 7802897 relations and 5802897 ideals in 2000000 cliques
  303. Sun Oct 19 22:38:22 2025 commencing in-memory singleton removal
  304. Sun Oct 19 22:39:53 2025 begin with 254517707 relations and 228715230 unique ideals
  305. Sun Oct 19 22:43:37 2025 reduce to 254326161 relations and 222719147 ideals in 7 passes
  306. Sun Oct 19 22:43:37 2025 max relations containing the same ideal: 111
  307. Sun Oct 19 22:48:17 2025 removing 7843612 relations and 5843612 ideals in 2000000 cliques
  308. Sun Oct 19 22:48:28 2025 commencing in-memory singleton removal
  309. Sun Oct 19 22:49:56 2025 begin with 246482549 relations and 222719147 unique ideals
  310. Sun Oct 19 22:53:19 2025 reduce to 246283486 relations and 216674814 ideals in 7 passes
  311. Sun Oct 19 22:53:19 2025 max relations containing the same ideal: 109
  312. Sun Oct 19 22:57:48 2025 removing 7880815 relations and 5880815 ideals in 2000000 cliques
  313. Sun Oct 19 22:58:03 2025 commencing in-memory singleton removal
  314. Sun Oct 19 22:59:26 2025 begin with 238402671 relations and 216674814 unique ideals
  315. Sun Oct 19 23:02:18 2025 reduce to 238195593 relations and 210585177 ideals in 6 passes
  316. Sun Oct 19 23:02:18 2025 max relations containing the same ideal: 108
  317. Sun Oct 19 23:06:37 2025 removing 7930580 relations and 5930580 ideals in 2000000 cliques
  318. Sun Oct 19 23:06:49 2025 commencing in-memory singleton removal
  319. Sun Oct 19 23:08:09 2025 begin with 230265013 relations and 210585177 unique ideals
  320. Sun Oct 19 23:11:17 2025 reduce to 230049137 relations and 204436800 ideals in 7 passes
  321. Sun Oct 19 23:11:17 2025 max relations containing the same ideal: 103
  322. Sun Oct 19 23:15:28 2025 removing 7986290 relations and 5986290 ideals in 2000000 cliques
  323. Sun Oct 19 23:15:38 2025 commencing in-memory singleton removal
  324. Sun Oct 19 23:16:58 2025 begin with 222062847 relations and 204436800 unique ideals
  325. Sun Oct 19 23:20:08 2025 reduce to 221835771 relations and 198221364 ideals in 7 passes
  326. Sun Oct 19 23:20:08 2025 max relations containing the same ideal: 102
  327. Sun Oct 19 23:24:17 2025 removing 8043329 relations and 6043329 ideals in 2000000 cliques
  328. Sun Oct 19 23:24:30 2025 commencing in-memory singleton removal
  329. Sun Oct 19 23:25:45 2025 begin with 213792442 relations and 198221364 unique ideals
  330. Sun Oct 19 23:28:42 2025 reduce to 213554551 relations and 191938010 ideals in 7 passes
  331. Sun Oct 19 23:28:42 2025 max relations containing the same ideal: 99
  332. Sun Oct 19 23:32:33 2025 removing 8111133 relations and 6111133 ideals in 2000000 cliques
  333. Sun Oct 19 23:32:42 2025 commencing in-memory singleton removal
  334. Sun Oct 19 23:33:53 2025 begin with 205443418 relations and 191938010 unique ideals
  335. Sun Oct 19 23:36:54 2025 reduce to 205194980 relations and 185576165 ideals in 8 passes
  336. Sun Oct 19 23:36:54 2025 max relations containing the same ideal: 95
  337. Sun Oct 19 23:40:31 2025 removing 8184011 relations and 6184011 ideals in 2000000 cliques
  338. Sun Oct 19 23:40:40 2025 commencing in-memory singleton removal
  339. Sun Oct 19 23:41:48 2025 begin with 197010969 relations and 185576165 unique ideals
  340. Sun Oct 19 23:44:23 2025 reduce to 196745620 relations and 179124325 ideals in 7 passes
  341. Sun Oct 19 23:44:23 2025 max relations containing the same ideal: 92
  342. Sun Oct 19 23:47:50 2025 removing 8267650 relations and 6267650 ideals in 2000000 cliques
  343. Sun Oct 19 23:47:58 2025 commencing in-memory singleton removal
  344. Sun Oct 19 23:49:04 2025 begin with 188477970 relations and 179124325 unique ideals
  345. Sun Oct 19 23:51:27 2025 reduce to 188196434 relations and 172572475 ideals in 7 passes
  346. Sun Oct 19 23:51:27 2025 max relations containing the same ideal: 90
  347. Sun Oct 19 23:54:39 2025 removing 8357758 relations and 6357758 ideals in 2000000 cliques
  348. Sun Oct 19 23:54:47 2025 commencing in-memory singleton removal
  349. Sun Oct 19 23:55:44 2025 begin with 179838676 relations and 172572475 unique ideals
  350. Sun Oct 19 23:58:03 2025 reduce to 179538610 relations and 165911696 ideals in 7 passes
  351. Sun Oct 19 23:58:03 2025 max relations containing the same ideal: 87
  352. Mon Oct 20 00:01:19 2025 removing 8461585 relations and 6461585 ideals in 2000000 cliques
  353. Mon Oct 20 00:01:28 2025 commencing in-memory singleton removal
  354. Mon Oct 20 00:02:25 2025 begin with 171077025 relations and 165911696 unique ideals
  355. Mon Oct 20 00:04:54 2025 reduce to 170751559 relations and 159121408 ideals in 8 passes
  356. Mon Oct 20 00:04:54 2025 max relations containing the same ideal: 85
  357. Mon Oct 20 00:07:51 2025 removing 8582856 relations and 6582856 ideals in 2000000 cliques
  358. Mon Oct 20 00:07:59 2025 commencing in-memory singleton removal
  359. Mon Oct 20 00:08:53 2025 begin with 162168703 relations and 159121408 unique ideals
  360. Mon Oct 20 00:11:17 2025 reduce to 161819237 relations and 152185467 ideals in 8 passes
  361. Mon Oct 20 00:11:17 2025 max relations containing the same ideal: 84
  362. Mon Oct 20 00:14:16 2025 removing 8713549 relations and 6713549 ideals in 2000000 cliques
  363. Mon Oct 20 00:14:23 2025 commencing in-memory singleton removal
  364. Mon Oct 20 00:15:14 2025 begin with 153105688 relations and 152185467 unique ideals
  365. Mon Oct 20 00:17:27 2025 reduce to 152722766 relations and 145084917 ideals in 8 passes
  366. Mon Oct 20 00:17:27 2025 max relations containing the same ideal: 81
  367. Mon Oct 20 00:20:11 2025 removing 8862769 relations and 6862769 ideals in 2000000 cliques
  368. Mon Oct 20 00:20:20 2025 commencing in-memory singleton removal
  369. Mon Oct 20 00:21:07 2025 begin with 143859997 relations and 145084917 unique ideals
  370. Mon Oct 20 00:23:07 2025 reduce to 143438502 relations and 137795963 ideals in 8 passes
  371. Mon Oct 20 00:23:07 2025 max relations containing the same ideal: 75
  372. Mon Oct 20 00:25:41 2025 removing 5030904 relations and 4062351 ideals in 968553 cliques
  373. Mon Oct 20 00:25:48 2025 commencing in-memory singleton removal
  374. Mon Oct 20 00:26:34 2025 begin with 138407598 relations and 137795963 unique ideals
  375. Mon Oct 20 00:28:37 2025 reduce to 138277027 relations and 133602309 ideals in 8 passes
  376. Mon Oct 20 00:28:37 2025 max relations containing the same ideal: 74
  377. Mon Oct 20 00:31:25 2025 relations with 0 large ideals: 147133
  378. Mon Oct 20 00:31:25 2025 relations with 1 large ideals: 145219
  379. Mon Oct 20 00:31:25 2025 relations with 2 large ideals: 1459916
  380. Mon Oct 20 00:31:25 2025 relations with 3 large ideals: 7342474
  381. Mon Oct 20 00:31:25 2025 relations with 4 large ideals: 20559357
  382. Mon Oct 20 00:31:25 2025 relations with 5 large ideals: 34507187
  383. Mon Oct 20 00:31:25 2025 relations with 6 large ideals: 36129452
  384. Mon Oct 20 00:31:25 2025 relations with 7+ large ideals: 37986289
  385. Mon Oct 20 00:31:25 2025 commencing 2-way merge
  386. Mon Oct 20 00:35:02 2025 reduce to 82729961 relation sets and 78055243 unique ideals
  387. Mon Oct 20 00:35:03 2025 commencing full merge
  388. Mon Oct 20 01:20:05 2025 memory use: 9587.3 MB
  389. Mon Oct 20 01:20:21 2025 found 38020692 cycles, need 37465443
  390. Mon Oct 20 01:20:41 2025 weight of 37465443 cycles is about 4308743437 (115.01/cycle)
  391. Mon Oct 20 01:20:41 2025 distribution of cycle lengths:
  392. Mon Oct 20 01:20:41 2025 1 relations: 3201924
  393. Mon Oct 20 01:20:41 2025 2 relations: 2728768
  394. Mon Oct 20 01:20:41 2025 3 relations: 2766126
  395. Mon Oct 20 01:20:41 2025 4 relations: 2730464
  396. Mon Oct 20 01:20:41 2025 5 relations: 2752733
  397. Mon Oct 20 01:20:41 2025 6 relations: 2727683
  398. Mon Oct 20 01:20:41 2025 7 relations: 2657582
  399. Mon Oct 20 01:20:41 2025 8 relations: 2550873
  400. Mon Oct 20 01:20:41 2025 9 relations: 2392646
  401. Mon Oct 20 01:20:41 2025 10+ relations: 12956644
  402. Mon Oct 20 01:20:41 2025 heaviest cycle: 27 relations
  403. Mon Oct 20 01:21:00 2025 commencing cycle optimization
  404. Mon Oct 20 01:23:26 2025 start with 294316024 relations
  405. Mon Oct 20 01:38:52 2025 pruned 9815313 relations
  406. Mon Oct 20 01:38:53 2025 memory use: 8629.0 MB
  407. Mon Oct 20 01:38:53 2025 distribution of cycle lengths:
  408. Mon Oct 20 01:38:53 2025 1 relations: 3201924
  409. Mon Oct 20 01:38:53 2025 2 relations: 2787206
  410. Mon Oct 20 01:38:53 2025 3 relations: 2861485
  411. Mon Oct 20 01:38:53 2025 4 relations: 2818757
  412. Mon Oct 20 01:38:53 2025 5 relations: 2859430
  413. Mon Oct 20 01:38:53 2025 6 relations: 2823366
  414. Mon Oct 20 01:38:53 2025 7 relations: 2760977
  415. Mon Oct 20 01:38:53 2025 8 relations: 2637999
  416. Mon Oct 20 01:38:53 2025 9 relations: 2469666
  417. Mon Oct 20 01:38:53 2025 10+ relations: 12244633
  418. Mon Oct 20 01:38:53 2025 heaviest cycle: 26 relations
  419. Mon Oct 20 01:40:44 2025 RelProcTime: 143139
  420. Mon Oct 20 01:41:06 2025 elapsed time 39:46:03
  421. Mon Oct 20 07:46:24 2025
  422. Mon Oct 20 07:46:24 2025
  423. Mon Oct 20 07:46:24 2025 Msieve v. 1.54 (SVN unknown)
  424. Mon Oct 20 07:46:24 2025 random seeds: 8e8a1987 598ff244
  425. Mon Oct 20 07:46:24 2025 factoring 1502792297663175168705097374020767212449045398111145183699666215490281787288515334290096466535071696655599095200360443205629904583028778855989001479473893938184279151456573787933312158415790370805846792826998829294944758529530645446230639489615214249453786692203 (262 digits)
  426. Mon Oct 20 07:46:25 2025 no P-1/P+1/ECM available, skipping
  427. Mon Oct 20 07:46:25 2025 commencing number field sieve (262-digit input)
  428. Mon Oct 20 07:46:26 2025 R0: 2923003274661805836407369665432566039311865085952
  429. Mon Oct 20 07:46:26 2025 R1: -1
  430. Mon Oct 20 07:46:26 2025 A0: -1
  431. Mon Oct 20 07:46:26 2025 A1: 0
  432. Mon Oct 20 07:46:26 2025 A2: 0
  433. Mon Oct 20 07:46:26 2025 A3: 0
  434. Mon Oct 20 07:46:26 2025 A4: 0
  435. Mon Oct 20 07:46:26 2025 A5: 0
  436. Mon Oct 20 07:46:26 2025 A6: 52
  437. Mon Oct 20 07:46:26 2025 skew 0.68, size 2.318e-14, alpha 1.164, combined = 6.453e-15 rroots = 2
  438. Mon Oct 20 07:46:26 2025
  439. Mon Oct 20 07:46:26 2025 commencing linear algebra
  440. Mon Oct 20 07:46:26 2025 using VBITS=128
  441. Mon Oct 20 07:46:32 2025 read 37465443 cycles
  442. Mon Oct 20 07:49:03 2025 cycles contain 135556978 unique relations
  443. Mon Oct 20 08:14:11 2025 read 135556978 relations
  444. Mon Oct 20 08:21:00 2025 using 20 quadratic characters above 4294917295
  445. Mon Oct 20 08:34:57 2025 building initial matrix
  446. Mon Oct 20 09:29:49 2025 memory use: 17209.0 MB
  447. Mon Oct 20 09:30:31 2025 read 37465443 cycles
  448. Mon Oct 20 09:30:40 2025 matrix is 37465260 x 37465443 (17119.1 MB) with weight 4883260977 (130.34/col)
  449. Mon Oct 20 09:30:40 2025 sparse part has weight 4075536738 (108.78/col)
  450. Mon Oct 20 09:44:20 2025 filtering completed in 2 passes
  451. Mon Oct 20 09:44:31 2025 matrix is 37458544 x 37458726 (17118.4 MB) with weight 4883018899 (130.36/col)
  452. Mon Oct 20 09:44:31 2025 sparse part has weight 4075436974 (108.80/col)
  453. Mon Oct 20 09:48:55 2025 matrix starts at (0, 0)
  454. Mon Oct 20 09:49:02 2025 matrix is 37458544 x 37458726 (17118.4 MB) with weight 4883018899 (130.36/col)
  455. Mon Oct 20 09:49:02 2025 sparse part has weight 4075436974 (108.80/col)
  456. Mon Oct 20 09:49:02 2025 saving the first 112 matrix rows for later
  457. Mon Oct 20 09:49:12 2025 matrix includes 128 packed rows
  458. Mon Oct 20 09:49:25 2025 matrix is 37458432 x 37458726 (15967.0 MB) with weight 3941911112 (105.23/col)
  459. Mon Oct 20 09:49:25 2025 sparse part has weight 3736145172 (99.74/col)
  460. Mon Oct 20 09:49:27 2025 using GPU 0 (Tesla P100-PCIE-16GB)
  461. Mon Oct 20 09:49:27 2025 selected card has CUDA arch 6.0
  462. Mon Oct 20 11:31:37 2025 commencing Lanczos iteration
  463. Mon Oct 20 11:31:43 2025 memory use: 33934.5 MB
  464. Mon Oct 20 11:53:48 2025 linear algebra at 0.1%, ETA 449h26m
  465. Mon Oct 20 11:59:26 2025 checking every 10000 dimensions, checkpointing every 90000 dimensions
  466. Fri Nov 7 17:51:38 2025 lanczos halted after 294403 iterations (dim = 37458430)
  467. Fri Nov 7 18:22:44 2025 recovered 38 nontrivial dependencies
  468. Fri Nov 7 18:23:22 2025 BLanczosTime: 1597016
  469. Fri Nov 7 18:23:22 2025
  470. Fri Nov 7 18:23:22 2025 commencing square root phase
  471. Fri Nov 7 18:23:22 2025 handling dependencies 1 to 64
  472. Fri Nov 7 18:23:22 2025 reading relations for dependency 1
  473. Fri Nov 7 20:43:08 2025 read 18726558 cycles
  474. Fri Nov 7 20:45:10 2025 cycles contain 67769658 unique relations
  475. Fri Nov 7 21:37:25 2025 read 67769658 relations
  476. Fri Nov 7 22:19:27 2025 multiplying 67769658 relations
  477. Sat Nov 8 00:16:39 2025 multiply complete, coefficients have about 2209.19 million bits
  478. Sat Nov 8 00:16:52 2025 initial square root is modulo 90163
  479. Sat Nov 8 01:54:47 2025 GCD is 1, no factor found
  480. Sat Nov 8 01:54:47 2025 reading relations for dependency 2
  481. Sat Nov 8 01:55:08 2025 read 18730520 cycles
  482. Sat Nov 8 01:56:29 2025 cycles contain 67772526 unique relations
  483. Sat Nov 8 02:19:09 2025 read 67772526 relations
  484. Sat Nov 8 02:31:07 2025 multiplying 67772526 relations
  485. Sat Nov 8 04:27:45 2025 multiply complete, coefficients have about 2209.29 million bits
  486. Sat Nov 8 04:27:57 2025 initial square root is modulo 90313
  487. Sat Nov 8 06:05:17 2025 sqrtTime: 42115
  488. Sat Nov 8 06:05:17 2025 p71 factor: 12408519055787702394706984275435178673211081676726652314827611708769911
  489. Sat Nov 8 06:05:17 2025 p192 factor: 121109722353388186047721350463243810334867708693302531567631070109648948788790639254660535372741453144880642351819777833808267297721781944555087435467666478809490861972612292150268610569241773
  490. Sat Nov 8 06:05:17 2025 elapsed time 455:18:53
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