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Oct 7th, 2026
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  1. Mon Aug 17 06:28:36 2026
  2. Mon Aug 17 06:28:36 2026
  3. Mon Aug 17 06:28:36 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Aug 17 06:28:36 2026 random seeds: fee73893 ed67bf1a
  5. Mon Aug 17 06:28:36 2026 factoring 46851225003950278520022335968576056505904145722639142248982443849094941363397365144735723148121206905994427899609365779742553533808384609662834289084354431631223674690514732914740226589285015034453933588687 (206 digits)
  6. Mon Aug 17 06:28:37 2026 no P-1/P+1/ECM available, skipping
  7. Mon Aug 17 06:28:37 2026 commencing number field sieve (206-digit input)
  8. Mon Aug 17 06:28:37 2026 R0: 5846006549323611672814739330865132078623730171904
  9. Mon Aug 17 06:28:37 2026 R1: -1
  10. Mon Aug 17 06:28:37 2026 A0: -1
  11. Mon Aug 17 06:28:37 2026 A1: 0
  12. Mon Aug 17 06:28:37 2026 A2: 0
  13. Mon Aug 17 06:28:37 2026 A3: 0
  14. Mon Aug 17 06:28:37 2026 A4: 0
  15. Mon Aug 17 06:28:37 2026 A5: 0
  16. Mon Aug 17 06:28:37 2026 A6: 26
  17. Mon Aug 17 06:28:37 2026 skew 0.76, size 2.365e-14, alpha 0.805, combined = 6.441e-15 rroots = 2
  18. Mon Aug 17 06:28:37 2026
  19. Mon Aug 17 06:28:37 2026 commencing relation filtering
  20. Mon Aug 17 06:28:37 2026 setting target matrix density to 96.0
  21. Mon Aug 17 06:28:37 2026 estimated available RAM is 128742.2 MB
  22. Mon Aug 17 06:28:37 2026 commencing duplicate removal, pass 1
  23. Mon Aug 17 06:29:24 2026 error -1 reading relation 4033319
  24. [...]
  25. Mon Aug 17 11:20:45 2026 error -11 reading relation 1315613141
  26. Mon Aug 17 11:36:28 2026 skipped 154035 relations with b > 2^32
  27. Mon Aug 17 11:36:28 2026 skipped 3 relations with composite factors
  28. Mon Aug 17 11:36:28 2026 skipped 59 malformed relations
  29. Mon Aug 17 11:36:28 2026 found 127462512 hash collisions in 1384509762 relations
  30. Mon Aug 17 11:36:50 2026 added 1218589 free relations
  31. Mon Aug 17 11:36:50 2026 commencing duplicate removal, pass 2
  32. Mon Aug 17 12:02:14 2026 found 86716202 duplicates and 1299012149 unique relations
  33. Mon Aug 17 12:02:14 2026 memory use: 6310.0 MB
  34. Mon Aug 17 12:02:15 2026 reading ideals above 583467008
  35. Mon Aug 17 12:02:15 2026 commencing singleton removal, initial pass
  36. Mon Aug 17 16:35:30 2026 memory use: 21024.0 MB
  37. Mon Aug 17 16:35:33 2026 reading all ideals from disk
  38. Mon Aug 17 16:39:29 2026 memory use: 33971.7 MB
  39. Mon Aug 17 16:42:36 2026 commencing in-memory singleton removal
  40. Mon Aug 17 16:48:02 2026 begin with 1299012149 relations and 1142242125 unique ideals
  41. Mon Aug 17 17:22:34 2026 reduce to 776413851 relations and 560123387 ideals in 15 passes
  42. Mon Aug 17 17:22:34 2026 max relations containing the same ideal: 34
  43. Mon Aug 17 17:24:15 2026 reading ideals above 720000
  44. Mon Aug 17 17:24:21 2026 commencing singleton removal, initial pass
  45. Mon Aug 17 21:19:24 2026 memory use: 11024.0 MB
  46. Mon Aug 17 21:19:26 2026 reading all ideals from disk
  47. Mon Aug 17 21:24:50 2026 memory use: 40559.2 MB
  48. Mon Aug 17 21:29:17 2026 keeping 616903871 ideals with weight <= 200, target excess is 4224337
  49. Mon Aug 17 21:34:02 2026 commencing in-memory singleton removal
  50. Mon Aug 17 21:39:56 2026 begin with 776413851 relations and 616903871 unique ideals
  51. Mon Aug 17 21:58:32 2026 reduce to 776411101 relations and 616901121 ideals in 9 passes
  52. Mon Aug 17 21:58:32 2026 max relations containing the same ideal: 200
  53. Tue Aug 18 03:11:40 2026 removing 17975008 relations and 15975008 ideals in 2000000 cliques
  54. Tue Aug 18 03:24:54 2026 commencing in-memory singleton removal
  55. Tue Aug 18 03:30:15 2026 begin with 758436093 relations and 616901121 unique ideals
  56. Tue Aug 18 03:45:51 2026 reduce to 758143503 relations and 600632304 ideals in 8 passes
  57. Tue Aug 18 03:45:51 2026 max relations containing the same ideal: 200
  58. Tue Aug 18 04:48:01 2026 removing 13471695 relations and 11471695 ideals in 2000000 cliques
  59. Tue Aug 18 04:49:36 2026 commencing in-memory singleton removal
  60. Tue Aug 18 04:54:44 2026 begin with 744671808 relations and 600632304 unique ideals
  61. Tue Aug 18 05:09:48 2026 reduce to 744489815 relations and 588978038 ideals in 8 passes
  62. Tue Aug 18 05:09:48 2026 max relations containing the same ideal: 200
  63. Tue Aug 18 05:51:07 2026 removing 12011598 relations and 10011598 ideals in 2000000 cliques
  64. Tue Aug 18 05:54:20 2026 commencing in-memory singleton removal
  65. Tue Aug 18 05:59:31 2026 begin with 732478217 relations and 588978038 unique ideals
  66. Tue Aug 18 06:14:42 2026 reduce to 732326783 relations and 578814552 ideals in 8 passes
  67. Tue Aug 18 06:14:42 2026 max relations containing the same ideal: 199
  68. Tue Aug 18 06:34:34 2026 removing 11150166 relations and 9150166 ideals in 2000000 cliques
  69. Tue Aug 18 06:38:31 2026 commencing in-memory singleton removal
  70. Tue Aug 18 06:43:04 2026 begin with 721176617 relations and 578814552 unique ideals
  71. Tue Aug 18 06:57:38 2026 reduce to 721043554 relations and 569530944 ideals in 8 passes
  72. Tue Aug 18 06:57:38 2026 max relations containing the same ideal: 199
  73. Tue Aug 18 10:31:00 2026 removing 10555042 relations and 8555042 ideals in 2000000 cliques
  74. Tue Aug 18 10:34:55 2026 commencing in-memory singleton removal
  75. Tue Aug 18 10:39:56 2026 begin with 710488512 relations and 569530944 unique ideals
  76. Tue Aug 18 10:52:27 2026 reduce to 710365576 relations and 560852590 ideals in 7 passes
  77. Tue Aug 18 10:52:27 2026 max relations containing the same ideal: 198
  78. Tue Aug 18 12:04:54 2026 removing 10108167 relations and 8108167 ideals in 2000000 cliques
  79. Tue Aug 18 12:10:03 2026 commencing in-memory singleton removal
  80. Tue Aug 18 12:14:57 2026 begin with 700257409 relations and 560852590 unique ideals
  81. Tue Aug 18 12:26:51 2026 reduce to 700141573 relations and 552628250 ideals in 7 passes
  82. Tue Aug 18 12:26:51 2026 max relations containing the same ideal: 196
  83. Tue Aug 18 15:05:07 2026 removing 9752499 relations and 7752499 ideals in 2000000 cliques
  84. Tue Aug 18 15:05:54 2026 commencing in-memory singleton removal
  85. Tue Aug 18 15:10:07 2026 begin with 690389074 relations and 552628250 unique ideals
  86. Tue Aug 18 15:19:46 2026 reduce to 690278393 relations and 544764758 ideals in 6 passes
  87. Tue Aug 18 15:19:46 2026 max relations containing the same ideal: 195
  88. Tue Aug 18 15:31:39 2026 removing 9466090 relations and 7466090 ideals in 2000000 cliques
  89. Tue Aug 18 15:32:05 2026 commencing in-memory singleton removal
  90. Tue Aug 18 15:36:07 2026 begin with 680812303 relations and 544764758 unique ideals
  91. Tue Aug 18 15:46:45 2026 reduce to 680707184 relations and 537193230 ideals in 7 passes
  92. Tue Aug 18 15:46:45 2026 max relations containing the same ideal: 194
  93. Tue Aug 18 15:58:22 2026 removing 9222783 relations and 7222783 ideals in 2000000 cliques
  94. Tue Aug 18 15:58:48 2026 commencing in-memory singleton removal
  95. Tue Aug 18 16:02:52 2026 begin with 671484401 relations and 537193230 unique ideals
  96. Tue Aug 18 16:13:33 2026 reduce to 671382766 relations and 529868490 ideals in 7 passes
  97. Tue Aug 18 16:13:33 2026 max relations containing the same ideal: 192
  98. Tue Aug 18 16:25:06 2026 removing 9014755 relations and 7014755 ideals in 2000000 cliques
  99. Tue Aug 18 16:25:31 2026 commencing in-memory singleton removal
  100. Tue Aug 18 16:29:29 2026 begin with 662368011 relations and 529868490 unique ideals
  101. Tue Aug 18 16:40:00 2026 reduce to 662268858 relations and 522754235 ideals in 7 passes
  102. Tue Aug 18 16:40:00 2026 max relations containing the same ideal: 191
  103. Tue Aug 18 16:51:24 2026 removing 8839889 relations and 6839889 ideals in 2000000 cliques
  104. Tue Aug 18 16:51:50 2026 commencing in-memory singleton removal
  105. Tue Aug 18 16:55:40 2026 begin with 653428969 relations and 522754235 unique ideals
  106. Tue Aug 18 17:04:19 2026 reduce to 653331421 relations and 515816477 ideals in 6 passes
  107. Tue Aug 18 17:04:19 2026 max relations containing the same ideal: 191
  108. Tue Aug 18 17:15:34 2026 removing 8681676 relations and 6681676 ideals in 2000000 cliques
  109. Tue Aug 18 17:15:59 2026 commencing in-memory singleton removal
  110. Tue Aug 18 17:19:47 2026 begin with 644649745 relations and 515816477 unique ideals
  111. Tue Aug 18 17:28:28 2026 reduce to 644553748 relations and 509038527 ideals in 6 passes
  112. Tue Aug 18 17:28:28 2026 max relations containing the same ideal: 189
  113. Tue Aug 18 17:39:24 2026 removing 8550940 relations and 6550940 ideals in 2000000 cliques
  114. Tue Aug 18 17:39:48 2026 commencing in-memory singleton removal
  115. Tue Aug 18 17:43:37 2026 begin with 636002808 relations and 509038527 unique ideals
  116. Tue Aug 18 17:52:09 2026 reduce to 635909154 relations and 502393633 ideals in 6 passes
  117. Tue Aug 18 17:52:09 2026 max relations containing the same ideal: 187
  118. Tue Aug 18 18:02:53 2026 removing 8425036 relations and 6425036 ideals in 2000000 cliques
  119. Tue Aug 18 18:03:17 2026 commencing in-memory singleton removal
  120. Tue Aug 18 18:06:57 2026 begin with 627484118 relations and 502393633 unique ideals
  121. Tue Aug 18 18:15:14 2026 reduce to 627390866 relations and 495875041 ideals in 6 passes
  122. Tue Aug 18 18:15:14 2026 max relations containing the same ideal: 186
  123. Tue Aug 18 18:25:48 2026 removing 8313476 relations and 6313476 ideals in 2000000 cliques
  124. Tue Aug 18 18:26:12 2026 commencing in-memory singleton removal
  125. Tue Aug 18 18:29:49 2026 begin with 619077390 relations and 495875041 unique ideals
  126. Tue Aug 18 18:38:18 2026 reduce to 618985388 relations and 489469248 ideals in 6 passes
  127. Tue Aug 18 18:38:18 2026 max relations containing the same ideal: 183
  128. Tue Aug 18 18:48:51 2026 removing 8215937 relations and 6215937 ideals in 2000000 cliques
  129. Tue Aug 18 18:49:14 2026 commencing in-memory singleton removal
  130. Tue Aug 18 18:52:54 2026 begin with 610769451 relations and 489469248 unique ideals
  131. Tue Aug 18 19:00:57 2026 reduce to 610677834 relations and 483161392 ideals in 6 passes
  132. Tue Aug 18 19:00:57 2026 max relations containing the same ideal: 181
  133. Tue Aug 18 19:11:17 2026 removing 8124886 relations and 6124886 ideals in 2000000 cliques
  134. Tue Aug 18 19:11:40 2026 commencing in-memory singleton removal
  135. Tue Aug 18 19:15:16 2026 begin with 602552948 relations and 483161392 unique ideals
  136. Tue Aug 18 19:24:39 2026 reduce to 602461584 relations and 476944803 ideals in 7 passes
  137. Tue Aug 18 19:24:39 2026 max relations containing the same ideal: 180
  138. Tue Aug 18 19:34:57 2026 removing 8048228 relations and 6048228 ideals in 2000000 cliques
  139. Tue Aug 18 19:35:19 2026 commencing in-memory singleton removal
  140. Tue Aug 18 19:38:47 2026 begin with 594413356 relations and 476944803 unique ideals
  141. Tue Aug 18 19:47:49 2026 reduce to 594322239 relations and 470805148 ideals in 7 passes
  142. Tue Aug 18 19:47:49 2026 max relations containing the same ideal: 178
  143. Tue Aug 18 19:57:46 2026 removing 7972553 relations and 5972553 ideals in 2000000 cliques
  144. Tue Aug 18 19:58:09 2026 commencing in-memory singleton removal
  145. Tue Aug 18 20:01:32 2026 begin with 586349686 relations and 470805148 unique ideals
  146. Tue Aug 18 20:09:07 2026 reduce to 586258781 relations and 464741357 ideals in 6 passes
  147. Tue Aug 18 20:09:07 2026 max relations containing the same ideal: 178
  148. Tue Aug 18 20:19:02 2026 removing 7906604 relations and 5906604 ideals in 2000000 cliques
  149. Tue Aug 18 20:19:25 2026 commencing in-memory singleton removal
  150. Tue Aug 18 20:22:52 2026 begin with 578352177 relations and 464741357 unique ideals
  151. Tue Aug 18 20:30:28 2026 reduce to 578262175 relations and 458744406 ideals in 6 passes
  152. Tue Aug 18 20:30:28 2026 max relations containing the same ideal: 177
  153. Tue Aug 18 20:40:20 2026 removing 7845516 relations and 5845516 ideals in 2000000 cliques
  154. Tue Aug 18 20:40:41 2026 commencing in-memory singleton removal
  155. Tue Aug 18 20:44:00 2026 begin with 570416659 relations and 458744406 unique ideals
  156. Tue Aug 18 20:52:34 2026 reduce to 570326028 relations and 452807919 ideals in 7 passes
  157. Tue Aug 18 20:52:34 2026 max relations containing the same ideal: 175
  158. Tue Aug 18 21:02:09 2026 removing 7789398 relations and 5789398 ideals in 2000000 cliques
  159. Tue Aug 18 21:02:30 2026 commencing in-memory singleton removal
  160. Tue Aug 18 21:05:50 2026 begin with 562536630 relations and 452807919 unique ideals
  161. Tue Aug 18 21:13:06 2026 reduce to 562445822 relations and 446927347 ideals in 6 passes
  162. Tue Aug 18 21:13:06 2026 max relations containing the same ideal: 174
  163. Tue Aug 18 21:22:51 2026 removing 7738829 relations and 5738829 ideals in 2000000 cliques
  164. Tue Aug 18 21:23:12 2026 commencing in-memory singleton removal
  165. Tue Aug 18 21:26:31 2026 begin with 554706993 relations and 446927347 unique ideals
  166. Tue Aug 18 21:34:52 2026 reduce to 554615729 relations and 441096871 ideals in 7 passes
  167. Tue Aug 18 21:34:52 2026 max relations containing the same ideal: 173
  168. Tue Aug 18 21:44:21 2026 removing 7693263 relations and 5693263 ideals in 2000000 cliques
  169. Tue Aug 18 21:44:43 2026 commencing in-memory singleton removal
  170. Tue Aug 18 21:47:52 2026 begin with 546922466 relations and 441096871 unique ideals
  171. Tue Aug 18 21:54:52 2026 reduce to 546830982 relations and 435311697 ideals in 6 passes
  172. Tue Aug 18 21:54:52 2026 max relations containing the same ideal: 173
  173. Tue Aug 18 22:04:01 2026 removing 7646734 relations and 5646734 ideals in 2000000 cliques
  174. Tue Aug 18 22:04:22 2026 commencing in-memory singleton removal
  175. Tue Aug 18 22:07:29 2026 begin with 539184248 relations and 435311697 unique ideals
  176. Tue Aug 18 22:14:15 2026 reduce to 539092219 relations and 429572488 ideals in 6 passes
  177. Tue Aug 18 22:14:15 2026 max relations containing the same ideal: 172
  178. Tue Aug 18 22:23:12 2026 removing 7613090 relations and 5613090 ideals in 2000000 cliques
  179. Tue Aug 18 22:23:32 2026 commencing in-memory singleton removal
  180. Tue Aug 18 22:26:32 2026 begin with 531479129 relations and 429572488 unique ideals
  181. Tue Aug 18 22:33:14 2026 reduce to 531386815 relations and 423866658 ideals in 6 passes
  182. Tue Aug 18 22:33:14 2026 max relations containing the same ideal: 168
  183. Tue Aug 18 22:42:07 2026 removing 7570474 relations and 5570474 ideals in 2000000 cliques
  184. Tue Aug 18 22:42:27 2026 commencing in-memory singleton removal
  185. Tue Aug 18 22:45:25 2026 begin with 523816341 relations and 423866658 unique ideals
  186. Tue Aug 18 22:52:02 2026 reduce to 523723268 relations and 418202662 ideals in 6 passes
  187. Tue Aug 18 22:52:02 2026 max relations containing the same ideal: 166
  188. Tue Aug 18 23:00:48 2026 removing 7537508 relations and 5537508 ideals in 2000000 cliques
  189. Tue Aug 18 23:01:08 2026 commencing in-memory singleton removal
  190. Tue Aug 18 23:04:10 2026 begin with 516185760 relations and 418202662 unique ideals
  191. Tue Aug 18 23:10:42 2026 reduce to 516091581 relations and 412570548 ideals in 6 passes
  192. Tue Aug 18 23:10:42 2026 max relations containing the same ideal: 166
  193. Tue Aug 18 23:19:27 2026 removing 7505837 relations and 5505837 ideals in 2000000 cliques
  194. Tue Aug 18 23:19:47 2026 commencing in-memory singleton removal
  195. Tue Aug 18 23:22:38 2026 begin with 508585744 relations and 412570548 unique ideals
  196. Tue Aug 18 23:29:02 2026 reduce to 508491476 relations and 406970012 ideals in 6 passes
  197. Tue Aug 18 23:29:02 2026 max relations containing the same ideal: 164
  198. Tue Aug 18 23:37:34 2026 removing 7479507 relations and 5479507 ideals in 2000000 cliques
  199. Tue Aug 18 23:37:53 2026 commencing in-memory singleton removal
  200. Tue Aug 18 23:40:42 2026 begin with 501011969 relations and 406970012 unique ideals
  201. Tue Aug 18 23:46:58 2026 reduce to 500916936 relations and 401395006 ideals in 6 passes
  202. Tue Aug 18 23:46:58 2026 max relations containing the same ideal: 161
  203. Tue Aug 18 23:55:20 2026 removing 7449951 relations and 5449951 ideals in 2000000 cliques
  204. Tue Aug 18 23:55:39 2026 commencing in-memory singleton removal
  205. Tue Aug 18 23:58:25 2026 begin with 493466985 relations and 401395006 unique ideals
  206. Wed Aug 19 00:04:38 2026 reduce to 493370601 relations and 395848167 ideals in 6 passes
  207. Wed Aug 19 00:04:38 2026 max relations containing the same ideal: 159
  208. Wed Aug 19 00:12:57 2026 removing 7429389 relations and 5429389 ideals in 2000000 cliques
  209. Wed Aug 19 00:13:16 2026 commencing in-memory singleton removal
  210. Wed Aug 19 00:16:00 2026 begin with 485941212 relations and 395848167 unique ideals
  211. Wed Aug 19 00:22:07 2026 reduce to 485843722 relations and 390320799 ideals in 6 passes
  212. Wed Aug 19 00:22:07 2026 max relations containing the same ideal: 159
  213. Wed Aug 19 00:30:20 2026 removing 7401965 relations and 5401965 ideals in 2000000 cliques
  214. Wed Aug 19 00:30:39 2026 commencing in-memory singleton removal
  215. Wed Aug 19 00:33:18 2026 begin with 478441757 relations and 390320799 unique ideals
  216. Wed Aug 19 00:39:13 2026 reduce to 478343488 relations and 384820009 ideals in 6 passes
  217. Wed Aug 19 00:39:13 2026 max relations containing the same ideal: 157
  218. Wed Aug 19 00:47:08 2026 removing 7384693 relations and 5384693 ideals in 2000000 cliques
  219. Wed Aug 19 00:47:26 2026 commencing in-memory singleton removal
  220. Wed Aug 19 00:50:05 2026 begin with 470958795 relations and 384820009 unique ideals
  221. Wed Aug 19 00:56:02 2026 reduce to 470859906 relations and 379335859 ideals in 6 passes
  222. Wed Aug 19 00:56:02 2026 max relations containing the same ideal: 157
  223. Wed Aug 19 01:04:00 2026 removing 7367255 relations and 5367255 ideals in 2000000 cliques
  224. Wed Aug 19 01:04:19 2026 commencing in-memory singleton removal
  225. Wed Aug 19 01:06:55 2026 begin with 463492651 relations and 379335859 unique ideals
  226. Wed Aug 19 01:12:38 2026 reduce to 463390964 relations and 373866383 ideals in 6 passes
  227. Wed Aug 19 01:12:38 2026 max relations containing the same ideal: 157
  228. Wed Aug 19 01:20:21 2026 removing 7348645 relations and 5348645 ideals in 2000000 cliques
  229. Wed Aug 19 01:20:38 2026 commencing in-memory singleton removal
  230. Wed Aug 19 01:23:08 2026 begin with 456042319 relations and 373866383 unique ideals
  231. Wed Aug 19 01:28:44 2026 reduce to 455940799 relations and 368415630 ideals in 6 passes
  232. Wed Aug 19 01:28:44 2026 max relations containing the same ideal: 154
  233. Wed Aug 19 01:36:22 2026 removing 7337101 relations and 5337101 ideals in 2000000 cliques
  234. Wed Aug 19 01:36:39 2026 commencing in-memory singleton removal
  235. Wed Aug 19 01:39:12 2026 begin with 448603698 relations and 368415630 unique ideals
  236. Wed Aug 19 01:44:46 2026 reduce to 448500400 relations and 362974590 ideals in 6 passes
  237. Wed Aug 19 01:44:46 2026 max relations containing the same ideal: 151
  238. Wed Aug 19 01:52:15 2026 removing 7323614 relations and 5323614 ideals in 2000000 cliques
  239. Wed Aug 19 01:52:32 2026 commencing in-memory singleton removal
  240. Wed Aug 19 01:54:57 2026 begin with 441176786 relations and 362974590 unique ideals
  241. Wed Aug 19 02:01:16 2026 reduce to 441072428 relations and 357545988 ideals in 7 passes
  242. Wed Aug 19 02:01:16 2026 max relations containing the same ideal: 150
  243. Wed Aug 19 02:08:37 2026 removing 7314863 relations and 5314863 ideals in 2000000 cliques
  244. Wed Aug 19 02:08:54 2026 commencing in-memory singleton removal
  245. Wed Aug 19 02:11:16 2026 begin with 433757565 relations and 357545988 unique ideals
  246. Wed Aug 19 02:16:34 2026 reduce to 433652192 relations and 352125061 ideals in 6 passes
  247. Wed Aug 19 02:16:34 2026 max relations containing the same ideal: 148
  248. Wed Aug 19 02:23:48 2026 removing 7303384 relations and 5303384 ideals in 2000000 cliques
  249. Wed Aug 19 02:24:05 2026 commencing in-memory singleton removal
  250. Wed Aug 19 02:26:24 2026 begin with 426348808 relations and 352125061 unique ideals
  251. Wed Aug 19 02:31:38 2026 reduce to 426242161 relations and 346714379 ideals in 6 passes
  252. Wed Aug 19 02:31:38 2026 max relations containing the same ideal: 148
  253. Wed Aug 19 02:38:46 2026 removing 7295042 relations and 5295042 ideals in 2000000 cliques
  254. Wed Aug 19 02:39:03 2026 commencing in-memory singleton removal
  255. Wed Aug 19 02:41:21 2026 begin with 418947119 relations and 346714379 unique ideals
  256. Wed Aug 19 02:47:25 2026 reduce to 418838101 relations and 341309665 ideals in 7 passes
  257. Wed Aug 19 02:47:25 2026 max relations containing the same ideal: 147
  258. Wed Aug 19 02:54:22 2026 removing 7288058 relations and 5288058 ideals in 2000000 cliques
  259. Wed Aug 19 02:54:38 2026 commencing in-memory singleton removal
  260. Wed Aug 19 02:56:52 2026 begin with 411550043 relations and 341309665 unique ideals
  261. Wed Aug 19 03:01:48 2026 reduce to 411439970 relations and 335910811 ideals in 6 passes
  262. Wed Aug 19 03:01:48 2026 max relations containing the same ideal: 145
  263. Wed Aug 19 03:08:44 2026 removing 7283727 relations and 5283727 ideals in 2000000 cliques
  264. Wed Aug 19 03:09:00 2026 commencing in-memory singleton removal
  265. Wed Aug 19 03:11:11 2026 begin with 404156243 relations and 335910811 unique ideals
  266. Wed Aug 19 03:16:02 2026 reduce to 404043864 relations and 330513952 ideals in 6 passes
  267. Wed Aug 19 03:16:02 2026 max relations containing the same ideal: 143
  268. Wed Aug 19 03:22:44 2026 removing 7279699 relations and 5279699 ideals in 2000000 cliques
  269. Wed Aug 19 03:22:59 2026 commencing in-memory singleton removal
  270. Wed Aug 19 03:25:08 2026 begin with 396764165 relations and 330513952 unique ideals
  271. Wed Aug 19 03:30:02 2026 reduce to 396651159 relations and 325120476 ideals in 6 passes
  272. Wed Aug 19 03:30:02 2026 max relations containing the same ideal: 141
  273. Wed Aug 19 03:36:46 2026 removing 7280851 relations and 5280851 ideals in 2000000 cliques
  274. Wed Aug 19 03:37:02 2026 commencing in-memory singleton removal
  275. Wed Aug 19 03:39:10 2026 begin with 389370308 relations and 325120476 unique ideals
  276. Wed Aug 19 03:43:58 2026 reduce to 389254558 relations and 319723096 ideals in 6 passes
  277. Wed Aug 19 03:43:58 2026 max relations containing the same ideal: 140
  278. Wed Aug 19 03:50:34 2026 removing 7274459 relations and 5274459 ideals in 2000000 cliques
  279. Wed Aug 19 03:50:49 2026 commencing in-memory singleton removal
  280. Wed Aug 19 03:52:54 2026 begin with 381980099 relations and 319723096 unique ideals
  281. Wed Aug 19 03:57:34 2026 reduce to 381861851 relations and 314329500 ideals in 6 passes
  282. Wed Aug 19 03:57:34 2026 max relations containing the same ideal: 138
  283. Wed Aug 19 04:04:00 2026 removing 7281629 relations and 5281629 ideals in 2000000 cliques
  284. Wed Aug 19 04:04:15 2026 commencing in-memory singleton removal
  285. Wed Aug 19 04:06:14 2026 begin with 374580222 relations and 314329500 unique ideals
  286. Wed Aug 19 04:11:21 2026 reduce to 374460350 relations and 308927110 ideals in 7 passes
  287. Wed Aug 19 04:11:21 2026 max relations containing the same ideal: 134
  288. Wed Aug 19 04:17:38 2026 removing 7282011 relations and 5282011 ideals in 2000000 cliques
  289. Wed Aug 19 04:17:52 2026 commencing in-memory singleton removal
  290. Wed Aug 19 04:19:50 2026 begin with 367178339 relations and 308927110 unique ideals
  291. Wed Aug 19 04:24:16 2026 reduce to 367056275 relations and 303522157 ideals in 6 passes
  292. Wed Aug 19 04:24:16 2026 max relations containing the same ideal: 131
  293. Wed Aug 19 04:30:28 2026 removing 7283030 relations and 5283030 ideals in 2000000 cliques
  294. Wed Aug 19 04:30:42 2026 commencing in-memory singleton removal
  295. Wed Aug 19 04:32:37 2026 begin with 359773245 relations and 303522157 unique ideals
  296. Wed Aug 19 04:37:40 2026 reduce to 359648688 relations and 298113657 ideals in 7 passes
  297. Wed Aug 19 04:37:40 2026 max relations containing the same ideal: 130
  298. Wed Aug 19 04:43:43 2026 removing 7291343 relations and 5291343 ideals in 2000000 cliques
  299. Wed Aug 19 04:43:57 2026 commencing in-memory singleton removal
  300. Wed Aug 19 04:45:49 2026 begin with 352357345 relations and 298113657 unique ideals
  301. Wed Aug 19 04:50:43 2026 reduce to 352229104 relations and 292693095 ideals in 7 passes
  302. Wed Aug 19 04:50:43 2026 max relations containing the same ideal: 129
  303. Wed Aug 19 04:56:37 2026 removing 7298471 relations and 5298471 ideals in 2000000 cliques
  304. Wed Aug 19 04:56:51 2026 commencing in-memory singleton removal
  305. Wed Aug 19 04:58:42 2026 begin with 344930633 relations and 292693095 unique ideals
  306. Wed Aug 19 05:03:29 2026 reduce to 344801669 relations and 287264686 ideals in 7 passes
  307. Wed Aug 19 05:03:29 2026 max relations containing the same ideal: 126
  308. Wed Aug 19 05:08:59 2026 removing 7309921 relations and 5309921 ideals in 2000000 cliques
  309. Wed Aug 19 05:09:11 2026 commencing in-memory singleton removal
  310. Wed Aug 19 05:10:52 2026 begin with 337491748 relations and 287264686 unique ideals
  311. Wed Aug 19 05:13:28 2026 reduce to 337358268 relations and 281820250 ideals in 6 passes
  312. Wed Aug 19 05:13:28 2026 max relations containing the same ideal: 125
  313. Wed Aug 19 05:17:58 2026 removing 7318489 relations and 5318489 ideals in 2000000 cliques
  314. Wed Aug 19 05:18:09 2026 commencing in-memory singleton removal
  315. Wed Aug 19 05:19:42 2026 begin with 330039779 relations and 281820250 unique ideals
  316. Wed Aug 19 05:22:08 2026 reduce to 329903875 relations and 276364824 ideals in 6 passes
  317. Wed Aug 19 05:22:08 2026 max relations containing the same ideal: 124
  318. Wed Aug 19 05:27:36 2026 removing 7329580 relations and 5329580 ideals in 2000000 cliques
  319. Wed Aug 19 05:27:48 2026 commencing in-memory singleton removal
  320. Wed Aug 19 05:29:46 2026 begin with 322574295 relations and 276364824 unique ideals
  321. Wed Aug 19 05:33:14 2026 reduce to 322435371 relations and 270895208 ideals in 6 passes
  322. Wed Aug 19 05:33:14 2026 max relations containing the same ideal: 122
  323. Wed Aug 19 05:38:00 2026 removing 7348799 relations and 5348799 ideals in 2000000 cliques
  324. Wed Aug 19 05:38:11 2026 commencing in-memory singleton removal
  325. Wed Aug 19 05:39:58 2026 begin with 315086572 relations and 270895208 unique ideals
  326. Wed Aug 19 05:42:41 2026 reduce to 314944186 relations and 265402940 ideals in 6 passes
  327. Wed Aug 19 05:42:41 2026 max relations containing the same ideal: 119
  328. Wed Aug 19 05:47:12 2026 removing 7360109 relations and 5360109 ideals in 2000000 cliques
  329. Wed Aug 19 05:47:23 2026 commencing in-memory singleton removal
  330. Wed Aug 19 05:49:07 2026 begin with 307584077 relations and 265402940 unique ideals
  331. Wed Aug 19 05:53:14 2026 reduce to 307438707 relations and 259896335 ideals in 7 passes
  332. Wed Aug 19 05:53:14 2026 max relations containing the same ideal: 118
  333. Wed Aug 19 05:57:52 2026 removing 7382643 relations and 5382643 ideals in 2000000 cliques
  334. Wed Aug 19 05:58:03 2026 commencing in-memory singleton removal
  335. Wed Aug 19 05:59:42 2026 begin with 300056064 relations and 259896335 unique ideals
  336. Wed Aug 19 06:02:43 2026 reduce to 299906252 relations and 254362621 ideals in 7 passes
  337. Wed Aug 19 06:02:43 2026 max relations containing the same ideal: 116
  338. Wed Aug 19 06:07:11 2026 removing 7400511 relations and 5400511 ideals in 2000000 cliques
  339. Wed Aug 19 06:07:21 2026 commencing in-memory singleton removal
  340. Wed Aug 19 06:08:58 2026 begin with 292505741 relations and 254362621 unique ideals
  341. Wed Aug 19 06:11:31 2026 reduce to 292350991 relations and 248806030 ideals in 6 passes
  342. Wed Aug 19 06:11:31 2026 max relations containing the same ideal: 114
  343. Wed Aug 19 06:15:50 2026 removing 7426385 relations and 5426385 ideals in 2000000 cliques
  344. Wed Aug 19 06:16:00 2026 commencing in-memory singleton removal
  345. Wed Aug 19 06:17:35 2026 begin with 284924606 relations and 248806030 unique ideals
  346. Wed Aug 19 06:20:25 2026 reduce to 284766369 relations and 243220032 ideals in 7 passes
  347. Wed Aug 19 06:20:25 2026 max relations containing the same ideal: 114
  348. Wed Aug 19 06:24:29 2026 removing 7455954 relations and 5455954 ideals in 2000000 cliques
  349. Wed Aug 19 06:24:39 2026 commencing in-memory singleton removal
  350. Wed Aug 19 06:26:10 2026 begin with 277310415 relations and 243220032 unique ideals
  351. Wed Aug 19 06:28:30 2026 reduce to 277147756 relations and 237599946 ideals in 6 passes
  352. Wed Aug 19 06:28:30 2026 max relations containing the same ideal: 111
  353. Wed Aug 19 06:32:37 2026 removing 7483673 relations and 5483673 ideals in 2000000 cliques
  354. Wed Aug 19 06:32:46 2026 commencing in-memory singleton removal
  355. Wed Aug 19 06:34:16 2026 begin with 269664083 relations and 237599946 unique ideals
  356. Wed Aug 19 06:37:22 2026 reduce to 269495431 relations and 231946163 ideals in 8 passes
  357. Wed Aug 19 06:37:22 2026 max relations containing the same ideal: 108
  358. Wed Aug 19 06:41:28 2026 removing 7512673 relations and 5512673 ideals in 2000000 cliques
  359. Wed Aug 19 06:41:37 2026 commencing in-memory singleton removal
  360. Wed Aug 19 06:43:03 2026 begin with 261982758 relations and 231946163 unique ideals
  361. Wed Aug 19 06:45:20 2026 reduce to 261808616 relations and 226257935 ideals in 6 passes
  362. Wed Aug 19 06:45:20 2026 max relations containing the same ideal: 107
  363. Wed Aug 19 06:49:18 2026 removing 7547931 relations and 5547931 ideals in 2000000 cliques
  364. Wed Aug 19 06:49:27 2026 commencing in-memory singleton removal
  365. Wed Aug 19 06:50:51 2026 begin with 254260685 relations and 226257935 unique ideals
  366. Wed Aug 19 06:53:02 2026 reduce to 254079117 relations and 220526804 ideals in 6 passes
  367. Wed Aug 19 06:53:02 2026 max relations containing the same ideal: 103
  368. Wed Aug 19 06:56:50 2026 removing 7594691 relations and 5594691 ideals in 2000000 cliques
  369. Wed Aug 19 06:57:00 2026 commencing in-memory singleton removal
  370. Wed Aug 19 06:58:21 2026 begin with 246484426 relations and 220526804 unique ideals
  371. Wed Aug 19 07:00:23 2026 reduce to 246297811 relations and 214743870 ideals in 6 passes
  372. Wed Aug 19 07:00:23 2026 max relations containing the same ideal: 101
  373. Wed Aug 19 07:04:07 2026 removing 7636300 relations and 5636300 ideals in 2000000 cliques
  374. Wed Aug 19 07:04:16 2026 commencing in-memory singleton removal
  375. Wed Aug 19 07:05:34 2026 begin with 238661511 relations and 214743870 unique ideals
  376. Wed Aug 19 07:07:56 2026 reduce to 238468635 relations and 208912870 ideals in 7 passes
  377. Wed Aug 19 07:07:56 2026 max relations containing the same ideal: 100
  378. Wed Aug 19 07:11:25 2026 removing 7679030 relations and 5679030 ideals in 2000000 cliques
  379. Wed Aug 19 07:11:33 2026 commencing in-memory singleton removal
  380. Wed Aug 19 07:12:48 2026 begin with 230789605 relations and 208912870 unique ideals
  381. Wed Aug 19 07:15:16 2026 reduce to 230586351 relations and 203028758 ideals in 6 passes
  382. Wed Aug 19 07:15:16 2026 max relations containing the same ideal: 97
  383. Wed Aug 19 07:18:44 2026 removing 7735489 relations and 5735489 ideals in 2000000 cliques
  384. Wed Aug 19 07:18:52 2026 commencing in-memory singleton removal
  385. Wed Aug 19 07:20:06 2026 begin with 222850862 relations and 203028758 unique ideals
  386. Wed Aug 19 07:22:01 2026 reduce to 222639768 relations and 197080187 ideals in 6 passes
  387. Wed Aug 19 07:22:01 2026 max relations containing the same ideal: 93
  388. Wed Aug 19 07:25:16 2026 removing 7793945 relations and 5793945 ideals in 2000000 cliques
  389. Wed Aug 19 07:25:24 2026 commencing in-memory singleton removal
  390. Wed Aug 19 07:26:32 2026 begin with 214845823 relations and 197080187 unique ideals
  391. Wed Aug 19 07:28:33 2026 reduce to 214622711 relations and 191061113 ideals in 7 passes
  392. Wed Aug 19 07:28:33 2026 max relations containing the same ideal: 92
  393. Wed Aug 19 07:31:36 2026 removing 7854734 relations and 5854734 ideals in 2000000 cliques
  394. Wed Aug 19 07:31:43 2026 commencing in-memory singleton removal
  395. Wed Aug 19 07:32:51 2026 begin with 206767977 relations and 191061113 unique ideals
  396. Wed Aug 19 07:34:50 2026 reduce to 206534255 relations and 184970379 ideals in 7 passes
  397. Wed Aug 19 07:34:50 2026 max relations containing the same ideal: 89
  398. Wed Aug 19 07:37:19 2026 removing 7925263 relations and 5925263 ideals in 2000000 cliques
  399. Wed Aug 19 07:37:27 2026 commencing in-memory singleton removal
  400. Wed Aug 19 07:38:24 2026 begin with 198608992 relations and 184970379 unique ideals
  401. Wed Aug 19 07:40:17 2026 reduce to 198362368 relations and 178796129 ideals in 7 passes
  402. Wed Aug 19 07:40:17 2026 max relations containing the same ideal: 88
  403. Wed Aug 19 07:43:12 2026 removing 8005492 relations and 6005492 ideals in 2000000 cliques
  404. Wed Aug 19 07:43:20 2026 commencing in-memory singleton removal
  405. Wed Aug 19 07:44:21 2026 begin with 190356876 relations and 178796129 unique ideals
  406. Wed Aug 19 07:46:10 2026 reduce to 190096444 relations and 172527734 ideals in 7 passes
  407. Wed Aug 19 07:46:10 2026 max relations containing the same ideal: 86
  408. Wed Aug 19 07:48:53 2026 removing 8087542 relations and 6087542 ideals in 2000000 cliques
  409. Wed Aug 19 07:49:01 2026 commencing in-memory singleton removal
  410. Wed Aug 19 07:50:02 2026 begin with 182008902 relations and 172527734 unique ideals
  411. Wed Aug 19 07:52:03 2026 reduce to 181731586 relations and 166159981 ideals in 8 passes
  412. Wed Aug 19 07:52:03 2026 max relations containing the same ideal: 84
  413. Wed Aug 19 07:54:39 2026 removing 8183270 relations and 6183270 ideals in 2000000 cliques
  414. Wed Aug 19 07:54:46 2026 commencing in-memory singleton removal
  415. Wed Aug 19 07:55:41 2026 begin with 173548316 relations and 166159981 unique ideals
  416. Wed Aug 19 07:57:32 2026 reduce to 173252245 relations and 159677647 ideals in 8 passes
  417. Wed Aug 19 07:57:32 2026 max relations containing the same ideal: 82
  418. Wed Aug 19 08:00:01 2026 removing 8289967 relations and 6289967 ideals in 2000000 cliques
  419. Wed Aug 19 08:00:08 2026 commencing in-memory singleton removal
  420. Wed Aug 19 08:01:01 2026 begin with 164962278 relations and 159677647 unique ideals
  421. Wed Aug 19 08:02:47 2026 reduce to 164645219 relations and 153067348 ideals in 8 passes
  422. Wed Aug 19 08:02:47 2026 max relations containing the same ideal: 80
  423. Wed Aug 19 08:05:09 2026 removing 8406728 relations and 6406728 ideals in 2000000 cliques
  424. Wed Aug 19 08:05:16 2026 commencing in-memory singleton removal
  425. Wed Aug 19 08:06:05 2026 begin with 156238491 relations and 153067348 unique ideals
  426. Wed Aug 19 08:07:34 2026 reduce to 155895157 relations and 146313639 ideals in 7 passes
  427. Wed Aug 19 08:07:34 2026 max relations containing the same ideal: 79
  428. Wed Aug 19 08:09:46 2026 removing 8539762 relations and 6539762 ideals in 2000000 cliques
  429. Wed Aug 19 08:09:53 2026 commencing in-memory singleton removal
  430. Wed Aug 19 08:10:39 2026 begin with 147355395 relations and 146313639 unique ideals
  431. Wed Aug 19 08:12:03 2026 reduce to 146979530 relations and 139393800 ideals in 7 passes
  432. Wed Aug 19 08:12:03 2026 max relations containing the same ideal: 72
  433. Wed Aug 19 08:14:18 2026 removing 8684831 relations and 6684831 ideals in 2000000 cliques
  434. Wed Aug 19 08:14:25 2026 commencing in-memory singleton removal
  435. Wed Aug 19 08:15:10 2026 begin with 138294699 relations and 139393800 unique ideals
  436. Wed Aug 19 08:16:35 2026 reduce to 137880739 relations and 132290191 ideals in 8 passes
  437. Wed Aug 19 08:16:35 2026 max relations containing the same ideal: 71
  438. Wed Aug 19 08:18:31 2026 removing 3717824 relations and 3027507 ideals in 690317 cliques
  439. Wed Aug 19 08:18:36 2026 commencing in-memory singleton removal
  440. Wed Aug 19 08:19:19 2026 begin with 134162915 relations and 132290191 unique ideals
  441. Wed Aug 19 08:20:47 2026 reduce to 134091785 relations and 129191231 ideals in 7 passes
  442. Wed Aug 19 08:20:47 2026 max relations containing the same ideal: 71
  443. Wed Aug 19 08:23:05 2026 relations with 0 large ideals: 160189
  444. Wed Aug 19 08:23:05 2026 relations with 1 large ideals: 124493
  445. Wed Aug 19 08:23:05 2026 relations with 2 large ideals: 1425839
  446. Wed Aug 19 08:23:05 2026 relations with 3 large ideals: 7438528
  447. Wed Aug 19 08:23:05 2026 relations with 4 large ideals: 20794969
  448. Wed Aug 19 08:23:05 2026 relations with 5 large ideals: 34235392
  449. Wed Aug 19 08:23:05 2026 relations with 6 large ideals: 34874755
  450. Wed Aug 19 08:23:05 2026 relations with 7+ large ideals: 35037620
  451. Wed Aug 19 08:23:05 2026 commencing 2-way merge
  452. Wed Aug 19 08:26:10 2026 reduce to 80531965 relation sets and 75631411 unique ideals
  453. Wed Aug 19 08:26:10 2026 commencing full merge
  454. Wed Aug 19 08:55:02 2026 memory use: 9201.7 MB
  455. Wed Aug 19 08:55:14 2026 found 39464159 cycles, need 38799611
  456. Wed Aug 19 08:55:30 2026 weight of 38799611 cycles is about 3725316121 (96.01/cycle)
  457. Wed Aug 19 08:55:30 2026 distribution of cycle lengths:
  458. Wed Aug 19 08:55:30 2026 1 relations: 3943938
  459. Wed Aug 19 08:55:30 2026 2 relations: 3390958
  460. Wed Aug 19 08:55:30 2026 3 relations: 3410412
  461. Wed Aug 19 08:55:30 2026 4 relations: 3354058
  462. Wed Aug 19 08:55:30 2026 5 relations: 3338112
  463. Wed Aug 19 08:55:30 2026 6 relations: 3253063
  464. Wed Aug 19 08:55:30 2026 7 relations: 3084265
  465. Wed Aug 19 08:55:30 2026 8 relations: 2837366
  466. Wed Aug 19 08:55:30 2026 9 relations: 2553834
  467. Wed Aug 19 08:55:30 2026 10+ relations: 9633605
  468. Wed Aug 19 08:55:30 2026 heaviest cycle: 22 relations
  469. Wed Aug 19 08:55:46 2026 commencing cycle optimization
  470. Wed Aug 19 08:57:09 2026 start with 257991149 relations
  471. Wed Aug 19 09:04:53 2026 pruned 7175094 relations
  472. Wed Aug 19 09:04:57 2026 memory use: 8090.5 MB
  473. Wed Aug 19 09:04:57 2026 distribution of cycle lengths:
  474. Wed Aug 19 09:04:57 2026 1 relations: 3943938
  475. Wed Aug 19 09:04:57 2026 2 relations: 3460315
  476. Wed Aug 19 09:04:57 2026 3 relations: 3523160
  477. Wed Aug 19 09:04:57 2026 4 relations: 3452256
  478. Wed Aug 19 09:04:57 2026 5 relations: 3452139
  479. Wed Aug 19 09:04:57 2026 6 relations: 3347720
  480. Wed Aug 19 09:04:57 2026 7 relations: 3179917
  481. Wed Aug 19 09:04:57 2026 8 relations: 2907176
  482. Wed Aug 19 09:04:57 2026 9 relations: 2600326
  483. Wed Aug 19 09:04:57 2026 10+ relations: 8932664
  484. Wed Aug 19 09:04:57 2026 heaviest cycle: 22 relations
  485. Wed Aug 19 09:06:48 2026 RelProcTime: 182291
  486. Wed Aug 19 09:06:48 2026 elapsed time 50:38:12
  487. Wed Aug 19 09:12:54 2026
  488. Wed Aug 19 09:12:54 2026
  489. Wed Aug 19 09:12:54 2026 Msieve v. 1.54 (SVN unknown)
  490. Wed Aug 19 09:12:54 2026 random seeds: 34aa4efe 09e56e30
  491. Wed Aug 19 09:12:54 2026 factoring 46851225003950278520022335968576056505904145722639142248982443849094941363397365144735723148121206905994427899609365779742553533808384609662834289084354431631223674690514732914740226589285015034453933588687 (206 digits)
  492. Wed Aug 19 09:12:55 2026 no P-1/P+1/ECM available, skipping
  493. Wed Aug 19 09:12:55 2026 commencing number field sieve (206-digit input)
  494. Wed Aug 19 09:12:55 2026 R0: 5846006549323611672814739330865132078623730171904
  495. Wed Aug 19 09:12:55 2026 R1: -1
  496. Wed Aug 19 09:12:55 2026 A0: -1
  497. Wed Aug 19 09:12:55 2026 A1: 0
  498. Wed Aug 19 09:12:55 2026 A2: 0
  499. Wed Aug 19 09:12:55 2026 A3: 0
  500. Wed Aug 19 09:12:55 2026 A4: 0
  501. Wed Aug 19 09:12:55 2026 A5: 0
  502. Wed Aug 19 09:12:55 2026 A6: 26
  503. Wed Aug 19 09:12:55 2026 skew 0.76, size 2.365e-14, alpha 0.805, combined = 6.441e-15 rroots = 2
  504. Wed Aug 19 09:12:55 2026
  505. Wed Aug 19 09:12:55 2026 commencing linear algebra
  506. Wed Aug 19 09:12:55 2026 using VBITS=128
  507. Wed Aug 19 09:13:00 2026 read 38799611 cycles
  508. Wed Aug 19 09:14:28 2026 cycles contain 131348468 unique relations
  509. Wed Aug 19 09:41:28 2026 read 131348468 relations
  510. Wed Aug 19 09:47:53 2026 using 20 quadratic characters above 4294917295
  511. Wed Aug 19 10:02:25 2026 building initial matrix
  512. Wed Aug 19 10:39:46 2026 memory use: 16855.5 MB
  513. Wed Aug 19 10:40:20 2026 read 38799611 cycles
  514. Wed Aug 19 10:40:29 2026 matrix is 38799430 x 38799611 (15242.5 MB) with weight 4443944043 (114.54/col)
  515. Wed Aug 19 10:40:29 2026 sparse part has weight 3568941502 (91.98/col)
  516. Wed Aug 19 10:53:28 2026 filtering completed in 2 passes
  517. Wed Aug 19 10:53:36 2026 matrix is 38788856 x 38789035 (15241.7 MB) with weight 4443608079 (114.56/col)
  518. Wed Aug 19 10:53:36 2026 sparse part has weight 3568837879 (92.01/col)
  519. Wed Aug 19 10:58:11 2026 matrix starts at (0, 0)
  520. Wed Aug 19 10:58:17 2026 matrix is 38788856 x 38789035 (15241.7 MB) with weight 4443608079 (114.56/col)
  521. Wed Aug 19 10:58:17 2026 sparse part has weight 3568837879 (92.01/col)
  522. Wed Aug 19 10:58:17 2026 saving the first 112 matrix rows for later
  523. Wed Aug 19 10:58:24 2026 matrix includes 128 packed rows
  524. Wed Aug 19 10:58:34 2026 matrix is 38788744 x 38789035 (14404.9 MB) with weight 3465426183 (89.34/col)
  525. Wed Aug 19 10:58:34 2026 sparse part has weight 3310695298 (85.35/col)
  526. Wed Aug 19 10:58:35 2026 using GPU 0 (Tesla P100-PCIE-16GB)
  527. Wed Aug 19 10:58:35 2026 selected card has CUDA arch 6.0
  528. Wed Aug 19 11:08:22 2026 commencing Lanczos iteration
  529. Wed Aug 19 11:08:26 2026 memory use: 30733.4 MB
  530. Wed Aug 19 11:26:41 2026 linear algebra at 0.1%, ETA 384h30m
  531. Wed Aug 19 11:31:38 2026 checking every 10000 dimensions, checkpointing every 100000 dimensions
  532. Wed Aug 19 13:09:09 2026 lanczos halted after 1565 iterations (dim = 199069)
  533. Wed Aug 19 13:09:13 2026 BLanczosTime: 14178
  534. Wed Aug 19 13:09:13 2026 elapsed time 03:56:19
  535. Sun Aug 30 22:02:06 2026
  536. Sun Aug 30 22:02:06 2026
  537. Sun Aug 30 22:02:06 2026 Msieve v. 1.54 (SVN unknown)
  538. Sun Aug 30 22:02:06 2026 random seeds: aec0ae05 79620e6c
  539. Sun Aug 30 22:02:06 2026 factoring 46851225003950278520022335968576056505904145722639142248982443849094941363397365144735723148121206905994427899609365779742553533808384609662834289084354431631223674690514732914740226589285015034453933588687 (206 digits)
  540. Sun Aug 30 22:02:07 2026 no P-1/P+1/ECM available, skipping
  541. Sun Aug 30 22:02:07 2026 commencing number field sieve (206-digit input)
  542. Sun Aug 30 22:02:07 2026 R0: 5846006549323611672814739330865132078623730171904
  543. Sun Aug 30 22:02:07 2026 R1: -1
  544. Sun Aug 30 22:02:07 2026 A0: -1
  545. Sun Aug 30 22:02:07 2026 A1: 0
  546. Sun Aug 30 22:02:07 2026 A2: 0
  547. Sun Aug 30 22:02:07 2026 A3: 0
  548. Sun Aug 30 22:02:07 2026 A4: 0
  549. Sun Aug 30 22:02:07 2026 A5: 0
  550. Sun Aug 30 22:02:07 2026 A6: 26
  551. Sun Aug 30 22:02:07 2026 skew 0.76, size 2.365e-14, alpha 0.805, combined = 6.441e-15 rroots = 2
  552. Sun Aug 30 22:02:07 2026
  553. Sun Aug 30 22:02:07 2026 commencing linear algebra
  554. Sun Aug 30 22:02:07 2026 using VBITS=128
  555. Sun Aug 30 22:04:20 2026 matrix starts at (0, 0)
  556. Sun Aug 30 22:04:26 2026 matrix is 38788856 x 38789035 (15241.7 MB) with weight 4443608079 (114.56/col)
  557. Sun Aug 30 22:04:26 2026 sparse part has weight 3568837879 (92.01/col)
  558. Sun Aug 30 22:04:26 2026 saving the first 112 matrix rows for later
  559. Sun Aug 30 22:04:36 2026 matrix includes 128 packed rows
  560. Sun Aug 30 22:04:44 2026 matrix is 38788744 x 38789035 (14404.9 MB) with weight 3465426183 (89.34/col)
  561. Sun Aug 30 22:04:44 2026 sparse part has weight 3310695298 (85.35/col)
  562. Thu Sep 3 22:27:53 2026
  563. Thu Sep 3 22:27:53 2026
  564. Thu Sep 3 22:27:53 2026 Msieve v. 1.54 (SVN unknown)
  565. Thu Sep 3 22:27:53 2026 random seeds: 170e52a0 e855a6a3
  566. Thu Sep 3 22:27:53 2026 factoring 46851225003950278520022335968576056505904145722639142248982443849094941363397365144735723148121206905994427899609365779742553533808384609662834289084354431631223674690514732914740226589285015034453933588687 (206 digits)
  567. Thu Sep 3 22:27:54 2026 no P-1/P+1/ECM available, skipping
  568. Thu Sep 3 22:27:54 2026 commencing number field sieve (206-digit input)
  569. Thu Sep 3 22:27:54 2026 R0: 5846006549323611672814739330865132078623730171904
  570. Thu Sep 3 22:27:54 2026 R1: -1
  571. Thu Sep 3 22:27:54 2026 A0: -1
  572. Thu Sep 3 22:27:54 2026 A1: 0
  573. Thu Sep 3 22:27:54 2026 A2: 0
  574. Thu Sep 3 22:27:54 2026 A3: 0
  575. Thu Sep 3 22:27:54 2026 A4: 0
  576. Thu Sep 3 22:27:54 2026 A5: 0
  577. Thu Sep 3 22:27:54 2026 A6: 26
  578. Thu Sep 3 22:27:54 2026 skew 0.76, size 2.365e-14, alpha 0.805, combined = 6.441e-15 rroots = 2
  579. Thu Sep 3 22:27:54 2026
  580. Thu Sep 3 22:27:54 2026 commencing linear algebra
  581. Thu Sep 3 22:27:54 2026 using VBITS=128
  582. Thu Sep 3 22:30:10 2026 matrix starts at (0, 0)
  583. Thu Sep 3 22:30:15 2026 matrix is 38788856 x 38789035 (15241.7 MB) with weight 4443608079 (114.56/col)
  584. Thu Sep 3 22:30:15 2026 sparse part has weight 3568837879 (92.01/col)
  585. Thu Sep 3 22:30:15 2026 saving the first 112 matrix rows for later
  586. Thu Sep 3 22:30:25 2026 matrix includes 128 packed rows
  587. Thu Sep 3 22:30:33 2026 matrix is 38788744 x 38789035 (14404.9 MB) with weight 3465426183 (89.34/col)
  588. Thu Sep 3 22:30:33 2026 sparse part has weight 3310695298 (85.35/col)
  589. Thu Sep 3 22:30:33 2026 using GPU 0 (Tesla P100-PCIE-16GB)
  590. Thu Sep 3 22:30:33 2026 selected card has CUDA arch 6.0
  591. Thu Sep 3 22:32:18 2026
  592. Thu Sep 3 22:32:18 2026
  593. Thu Sep 3 22:32:18 2026 Msieve v. 1.54 (SVN unknown)
  594. Thu Sep 3 22:32:18 2026 random seeds: eee05650 a31dd68a
  595. Thu Sep 3 22:32:18 2026 factoring 46851225003950278520022335968576056505904145722639142248982443849094941363397365144735723148121206905994427899609365779742553533808384609662834289084354431631223674690514732914740226589285015034453933588687 (206 digits)
  596. Thu Sep 3 22:32:19 2026 no P-1/P+1/ECM available, skipping
  597. Thu Sep 3 22:32:19 2026 commencing number field sieve (206-digit input)
  598. Thu Sep 3 22:32:19 2026 R0: 5846006549323611672814739330865132078623730171904
  599. Thu Sep 3 22:32:19 2026 R1: -1
  600. Thu Sep 3 22:32:19 2026 A0: -1
  601. Thu Sep 3 22:32:19 2026 A1: 0
  602. Thu Sep 3 22:32:19 2026 A2: 0
  603. Thu Sep 3 22:32:19 2026 A3: 0
  604. Thu Sep 3 22:32:19 2026 A4: 0
  605. Thu Sep 3 22:32:19 2026 A5: 0
  606. Thu Sep 3 22:32:19 2026 A6: 26
  607. Thu Sep 3 22:32:19 2026 skew 0.76, size 2.365e-14, alpha 0.805, combined = 6.441e-15 rroots = 2
  608. Thu Sep 3 22:32:19 2026
  609. Thu Sep 3 22:32:19 2026 commencing linear algebra
  610. Thu Sep 3 22:32:19 2026 using VBITS=128
  611. Thu Sep 3 22:32:32 2026 matrix starts at (0, 0)
  612. Thu Sep 3 22:32:38 2026 matrix is 38788856 x 38789035 (15241.7 MB) with weight 4443608079 (114.56/col)
  613. Thu Sep 3 22:32:38 2026 sparse part has weight 3568837879 (92.01/col)
  614. Thu Sep 3 22:32:38 2026 saving the first 112 matrix rows for later
  615. Thu Sep 3 22:32:47 2026 matrix includes 128 packed rows
  616. Thu Sep 3 22:32:55 2026 matrix is 38788744 x 38789035 (14404.9 MB) with weight 3465426183 (89.34/col)
  617. Thu Sep 3 22:32:55 2026 sparse part has weight 3310695298 (85.35/col)
  618. Thu Sep 3 22:32:55 2026 using GPU 0 (Tesla P100-PCIE-16GB)
  619. Thu Sep 3 22:32:55 2026 selected card has CUDA arch 6.0
  620. Thu Sep 3 22:45:55 2026 commencing Lanczos iteration
  621. Thu Sep 3 22:46:01 2026 memory use: 30733.4 MB
  622. Thu Sep 3 22:46:38 2026 restarting at iteration 1565 (dim = 199069)
  623. Thu Sep 3 23:08:33 2026 linear algebra at 0.6%, ETA 461h 1m
  624. Thu Sep 3 23:09:11 2026 checking every 10000 dimensions, checkpointing every 90000 dimensions
  625. Wed Sep 9 14:36:51 2026 lanczos halted after 100069 iterations (dim = 12732364)
  626. Wed Sep 9 14:37:14 2026 BLanczosTime: 489895
  627. Wed Sep 9 14:37:15 2026
  628. Wed Sep 9 14:37:15 2026 commencing square root phase
  629. Wed Sep 9 14:37:17 2026 handling dependencies 1 to 64
  630. Wed Sep 9 14:37:17 2026 reading relations for dependency 1
  631. Wed Sep 9 14:37:17 2026 error: read_cycles can't open dependency file
  632. Sun Sep 13 21:27:40 2026
  633. Sun Sep 13 21:27:40 2026
  634. Sun Sep 13 21:27:40 2026 Msieve v. 1.54 (SVN unknown)
  635. Sun Sep 13 21:27:40 2026 random seeds: 0ae3a106 21a6ba07
  636. Sun Sep 13 21:27:40 2026 factoring 46851225003950278520022335968576056505904145722639142248982443849094941363397365144735723148121206905994427899609365779742553533808384609662834289084354431631223674690514732914740226589285015034453933588687 (206 digits)
  637. Sun Sep 13 21:27:41 2026 no P-1/P+1/ECM available, skipping
  638. Sun Sep 13 21:27:41 2026 commencing number field sieve (206-digit input)
  639. Sun Sep 13 21:27:41 2026 R0: 5846006549323611672814739330865132078623730171904
  640. Sun Sep 13 21:27:41 2026 R1: -1
  641. Sun Sep 13 21:27:41 2026 A0: -1
  642. Sun Sep 13 21:27:41 2026 A1: 0
  643. Sun Sep 13 21:27:41 2026 A2: 0
  644. Sun Sep 13 21:27:41 2026 A3: 0
  645. Sun Sep 13 21:27:41 2026 A4: 0
  646. Sun Sep 13 21:27:41 2026 A5: 0
  647. Sun Sep 13 21:27:41 2026 A6: 26
  648. Sun Sep 13 21:27:41 2026 skew 0.76, size 2.365e-14, alpha 0.805, combined = 6.441e-15 rroots = 2
  649. Sun Sep 13 21:27:41 2026
  650. Sun Sep 13 21:27:41 2026 commencing linear algebra
  651. Sun Sep 13 21:27:41 2026 using VBITS=128
  652. Sun Sep 13 21:31:34 2026 matrix starts at (0, 0)
  653. Sun Sep 13 21:31:47 2026 matrix is 38788856 x 38789035 (15241.7 MB) with weight 4443608079 (114.56/col)
  654. Sun Sep 13 21:31:47 2026 sparse part has weight 3568837879 (92.01/col)
  655. Sun Sep 13 21:31:47 2026 saving the first 112 matrix rows for later
  656. Sun Sep 13 21:31:58 2026 matrix includes 128 packed rows
  657. Sun Sep 13 21:32:06 2026 matrix is 38788744 x 38789035 (14404.9 MB) with weight 3465426183 (89.34/col)
  658. Sun Sep 13 21:32:06 2026 sparse part has weight 3310695298 (85.35/col)
  659. Sun Sep 13 21:32:07 2026 using GPU 0 (Tesla P100-PCIE-16GB)
  660. Sun Sep 13 21:32:07 2026 selected card has CUDA arch 6.0
  661. Sun Sep 13 21:43:48 2026 commencing Lanczos iteration
  662. Sun Sep 13 21:43:53 2026 memory use: 30733.4 MB
  663. Sun Sep 13 21:44:17 2026 restarting at iteration 100069 (dim = 12732364)
  664. Sun Sep 13 21:53:17 2026 checking every 10000 dimensions, checkpointing every 120000 dimensions
  665. Sun Sep 13 22:00:52 2026 linear algebra at 32.9%, ETA 235h29m
  666. Tue Sep 15 09:09:38 2026
  667. Tue Sep 15 09:09:38 2026
  668. Tue Sep 15 09:09:38 2026 Msieve v. 1.54 (SVN unknown)
  669. Tue Sep 15 09:09:38 2026 random seeds: 596deacb f6cd4448
  670. Tue Sep 15 09:09:38 2026 factoring 46851225003950278520022335968576056505904145722639142248982443849094941363397365144735723148121206905994427899609365779742553533808384609662834289084354431631223674690514732914740226589285015034453933588687 (206 digits)
  671. Tue Sep 15 09:09:39 2026 no P-1/P+1/ECM available, skipping
  672. Tue Sep 15 09:09:39 2026 commencing number field sieve (206-digit input)
  673. Tue Sep 15 09:09:39 2026 R0: 5846006549323611672814739330865132078623730171904
  674. Tue Sep 15 09:09:39 2026 R1: -1
  675. Tue Sep 15 09:09:39 2026 A0: -1
  676. Tue Sep 15 09:09:39 2026 A1: 0
  677. Tue Sep 15 09:09:39 2026 A2: 0
  678. Tue Sep 15 09:09:39 2026 A3: 0
  679. Tue Sep 15 09:09:39 2026 A4: 0
  680. Tue Sep 15 09:09:39 2026 A5: 0
  681. Tue Sep 15 09:09:39 2026 A6: 26
  682. Tue Sep 15 09:09:39 2026 skew 0.76, size 2.365e-14, alpha 0.805, combined = 6.441e-15 rroots = 2
  683. Tue Sep 15 09:09:39 2026
  684. Tue Sep 15 09:09:39 2026 commencing linear algebra
  685. Tue Sep 15 09:09:39 2026 using VBITS=128
  686. Tue Sep 15 09:10:04 2026 matrix starts at (0, 0)
  687. Tue Sep 15 09:10:10 2026 matrix is 38788856 x 38789035 (15241.7 MB) with weight 4443608079 (114.56/col)
  688. Tue Sep 15 09:10:10 2026 sparse part has weight 3568837879 (92.01/col)
  689. Tue Sep 15 09:10:10 2026 saving the first 112 matrix rows for later
  690. Tue Sep 15 09:10:20 2026 matrix includes 128 packed rows
  691. Tue Sep 15 09:10:28 2026 matrix is 38788744 x 38789035 (14404.9 MB) with weight 3465426183 (89.34/col)
  692. Tue Sep 15 09:10:28 2026 sparse part has weight 3310695298 (85.35/col)
  693. Tue Sep 15 09:10:28 2026 using GPU 0 (Tesla P100-PCIE-16GB)
  694. Tue Sep 15 09:10:28 2026 selected card has CUDA arch 6.0
  695. Tue Sep 15 09:19:45 2026 commencing Lanczos iteration
  696. Tue Sep 15 09:19:49 2026 memory use: 30733.4 MB
  697. Tue Sep 15 09:19:51 2026 restarting at iteration 120720 (dim = 15360031)
  698. Tue Sep 15 09:36:55 2026 linear algebra at 39.7%, ETA 217h54m
  699. Tue Sep 15 09:41:09 2026 checking every 10000 dimensions, checkpointing every 110000 dimensions
  700. Sun Sep 27 01:42:22 2026 lanczos halted after 304862 iterations (dim = 38788744)
  701. Sun Sep 27 01:43:51 2026 recovered 39 nontrivial dependencies
  702. Sun Sep 27 01:43:56 2026 BLanczosTime: 1010057
  703. Sun Sep 27 01:43:56 2026
  704. Sun Sep 27 01:43:56 2026 commencing square root phase
  705. Sun Sep 27 01:43:56 2026 handling dependencies 1 to 64
  706. Sun Sep 27 01:43:56 2026 reading relations for dependency 1
  707. Sun Sep 27 01:44:15 2026 read 19397968 cycles
  708. Sun Sep 27 01:45:19 2026 cycles contain 65676122 unique relations
  709. Sun Sep 27 02:10:13 2026 read 65676122 relations
  710. Sun Sep 27 02:20:46 2026 multiplying 65676122 relations
  711. Sun Sep 27 03:54:41 2026 multiply complete, coefficients have about 2086.05 million bits
  712. Sun Sep 27 03:54:52 2026 initial square root is modulo 2277458101
  713. Sun Sep 27 05:07:52 2026 GCD is 1, no factor found
  714. Sun Sep 27 05:07:52 2026 reading relations for dependency 2
  715. Sun Sep 27 05:08:11 2026 read 19394360 cycles
  716. Sun Sep 27 05:09:19 2026 cycles contain 65669142 unique relations
  717. Sun Sep 27 05:34:19 2026 read 65669142 relations
  718. Sun Sep 27 05:45:28 2026 multiplying 65669142 relations
  719. Sun Sep 27 07:16:54 2026 multiply complete, coefficients have about 2085.84 million bits
  720. Sun Sep 27 07:17:06 2026 initial square root is modulo 2272413769
  721. Sun Sep 27 08:34:23 2026 sqrtTime: 24627
  722. Sun Sep 27 08:34:23 2026 p96 factor: 144317159109425653812999449522188956025722471264331848578338806282922309207670339591809302581369
  723. Sun Sep 27 08:34:23 2026 p111 factor: 324640710037995250237695798508859834003951723399719309002029767788575670340499133644091753142445515960465938823
  724. Sun Sep 27 08:34:23 2026 elapsed time 287:24:45
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