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F1603.msieve.log

Serge_Batalov
Jan 25th, 2026
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  1. Sieving progress (Jan 7..22)
  2. 5.88 % 16.37 % 29.62 % 30.17 % 77.91 % 94.29 % 100 % 100 %
  3. 39,987,100 188,888,382 379,522,316 387,457,473 1,006,046,955 1,190,440,471 1,270,307,930 1,308,460,908
  4. 49,587,766 67,455,559 74,893,637 74,583,184 74,491,471 75,611,291 58,564,902 12,042,995
  5.  
  6. Found 1045705985 unique, 224598731 duplicate, and 282 bad relations.
  7. Largest dimension used: 3465 of 5600
  8. Average dimension used: 3191.3 of 5600
  9.  
  10. Increment:
  11. Found 37847256 unique, 305713 duplicate, and 1 bad relations.
  12. Largest dimension used: 174 of 3500
  13. Average dimension used: 115.5 of 3500
  14.  
  15. Thu Jan 22 02:08:01 2026 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  16. Thu Jan 22 02:08:01 2026 random seeds: aaa13720 5e4b1fde
  17. Thu Jan 22 02:08:01 2026 factoring 2524688888581448404091082058004352698771155085886597481124263216953281070548574284583335277989074398578957947412897577879621776139138911754267597693872384748798537921577856611987705843668717863009232844633815641198999729737 (223 digits)
  18. Thu Jan 22 02:08:02 2026 no P-1/P+1/ECM available, skipping
  19. Thu Jan 22 02:08:02 2026 commencing number field sieve (223-digit input)
  20. Thu Jan 22 02:08:02 2026 R0: -721389168583281868779173924837065994765338432601
  21. Thu Jan 22 02:08:02 2026 R1: 1
  22. Thu Jan 22 02:08:02 2026 A0: 1
  23. Thu Jan 22 02:08:02 2026 A1: 0
  24. Thu Jan 22 02:08:02 2026 A2: 6
  25. Thu Jan 22 02:08:02 2026 A3: 0
  26. Thu Jan 22 02:08:02 2026 A4: 5
  27. Thu Jan 22 02:08:02 2026 A5: 0
  28. Thu Jan 22 02:08:02 2026 A6: 1
  29. Thu Jan 22 02:08:02 2026 skew 1.54, size 4.102e-14, alpha 1.743, combined = 1.010e-14 rroots = 0
  30. Thu Jan 22 02:08:02 2026
  31. Thu Jan 22 02:08:02 2026 commencing relation filtering
  32. Thu Jan 22 02:08:02 2026 setting target matrix density to 135.0
  33. Thu Jan 22 02:08:02 2026 estimated available RAM is 1031034.1 MB
  34. Thu Jan 22 02:08:02 2026 commencing duplicate removal, pass 1
  35. Thu Jan 22 03:58:43 2026 skipped 42795 relations with b > 2^32
  36. Thu Jan 22 03:58:43 2026 found 70976457 hash collisions in 1083510438 relations
  37. Thu Jan 22 03:58:48 2026 added 2438606 free relations
  38. Thu Jan 22 03:58:48 2026 commencing duplicate removal, pass 2
  39. Thu Jan 22 04:13:40 2026 found 10333418 duplicates and 1075615626 unique relations
  40. Thu Jan 22 04:13:40 2026 memory use: 3411.0 MB
  41. Thu Jan 22 04:13:40 2026 reading ideals above 720000
  42. Thu Jan 22 04:13:40 2026 commencing singleton removal, initial pass
  43. Thu Jan 22 06:57:53 2026 memory use: 21024.0 MB
  44. Thu Jan 22 06:57:53 2026 reading all ideals from disk
  45. Thu Jan 22 06:58:04 2026 memory use: 55840.9 MB
  46. Thu Jan 22 06:59:15 2026 keeping 917964637 ideals with weight <= 200, target excess is 6396614
  47. Thu Jan 22 07:00:46 2026 commencing in-memory singleton removal
  48. Thu Jan 22 07:02:05 2026 begin with 1075615626 relations and 917964637 unique ideals
  49. Thu Jan 22 07:09:47 2026 reduce to 717328802 relations and 525616750 ideals in 13 passes
  50. Thu Jan 22 07:09:47 2026 max relations containing the same ideal: 163
  51. Thu Jan 22 07:12:58 2026 removing 13785754 relations and 11785754 ideals in 2000000 cliques
  52. Thu Jan 22 07:13:12 2026 commencing in-memory singleton removal
  53. Thu Jan 22 07:14:04 2026 begin with 703543048 relations and 525616750 unique ideals
  54. Thu Jan 22 07:17:39 2026 reduce to 703356400 relations and 513643565 ideals in 7 passes
  55. Thu Jan 22 07:17:39 2026 max relations containing the same ideal: 162
  56. Thu Jan 22 07:20:44 2026 removing 10536821 relations and 8536821 ideals in 2000000 cliques
  57. Thu Jan 22 07:20:57 2026 commencing in-memory singleton removal
  58. Thu Jan 22 07:21:49 2026 begin with 692819579 relations and 513643565 unique ideals
  59. Thu Jan 22 07:25:19 2026 reduce to 692697392 relations and 504984125 ideals in 7 passes
  60. Thu Jan 22 07:25:19 2026 max relations containing the same ideal: 162
  61. Thu Jan 22 07:28:22 2026 removing 9472704 relations and 7472704 ideals in 2000000 cliques
  62. Thu Jan 22 07:28:34 2026 commencing in-memory singleton removal
  63. Thu Jan 22 07:29:25 2026 begin with 683224688 relations and 504984125 unique ideals
  64. Thu Jan 22 07:33:21 2026 reduce to 683121911 relations and 497408276 ideals in 8 passes
  65. Thu Jan 22 07:33:21 2026 max relations containing the same ideal: 160
  66. Thu Jan 22 07:36:21 2026 removing 8846489 relations and 6846489 ideals in 2000000 cliques
  67. Thu Jan 22 07:36:33 2026 commencing in-memory singleton removal
  68. Thu Jan 22 07:37:23 2026 begin with 674275422 relations and 497408276 unique ideals
  69. Thu Jan 22 07:40:19 2026 reduce to 674182246 relations and 490468276 ideals in 6 passes
  70. Thu Jan 22 07:40:19 2026 max relations containing the same ideal: 158
  71. Thu Jan 22 07:43:16 2026 removing 8405165 relations and 6405165 ideals in 2000000 cliques
  72. Thu Jan 22 07:43:29 2026 commencing in-memory singleton removal
  73. Thu Jan 22 07:44:18 2026 begin with 665777081 relations and 490468276 unique ideals
  74. Thu Jan 22 07:47:11 2026 reduce to 665690454 relations and 483976188 ideals in 6 passes
  75. Thu Jan 22 07:47:11 2026 max relations containing the same ideal: 157
  76. Thu Jan 22 07:50:05 2026 removing 8080176 relations and 6080176 ideals in 2000000 cliques
  77. Thu Jan 22 07:50:17 2026 commencing in-memory singleton removal
  78. Thu Jan 22 07:51:06 2026 begin with 657610278 relations and 483976188 unique ideals
  79. Thu Jan 22 07:53:56 2026 reduce to 657527860 relations and 477813349 ideals in 6 passes
  80. Thu Jan 22 07:53:56 2026 max relations containing the same ideal: 156
  81. Thu Jan 22 07:56:49 2026 removing 7824609 relations and 5824609 ideals in 2000000 cliques
  82. Thu Jan 22 07:57:01 2026 commencing in-memory singleton removal
  83. Thu Jan 22 07:57:49 2026 begin with 649703251 relations and 477813349 unique ideals
  84. Thu Jan 22 08:00:37 2026 reduce to 649624759 relations and 471910008 ideals in 6 passes
  85. Thu Jan 22 08:00:37 2026 max relations containing the same ideal: 155
  86. Thu Jan 22 08:03:28 2026 removing 7616070 relations and 5616070 ideals in 2000000 cliques
  87. Thu Jan 22 08:03:40 2026 commencing in-memory singleton removal
  88. Thu Jan 22 08:04:28 2026 begin with 642008689 relations and 471910008 unique ideals
  89. Thu Jan 22 08:07:14 2026 reduce to 641933161 relations and 466218128 ideals in 6 passes
  90. Thu Jan 22 08:07:14 2026 max relations containing the same ideal: 153
  91. Thu Jan 22 08:10:03 2026 removing 7442138 relations and 5442138 ideals in 2000000 cliques
  92. Thu Jan 22 08:10:14 2026 commencing in-memory singleton removal
  93. Thu Jan 22 08:11:00 2026 begin with 634491023 relations and 466218128 unique ideals
  94. Thu Jan 22 08:13:45 2026 reduce to 634417280 relations and 460702001 ideals in 6 passes
  95. Thu Jan 22 08:13:45 2026 max relations containing the same ideal: 153
  96. Thu Jan 22 08:16:28 2026 removing 7300325 relations and 5300325 ideals in 2000000 cliques
  97. Thu Jan 22 08:16:40 2026 commencing in-memory singleton removal
  98. Thu Jan 22 08:17:26 2026 begin with 627116955 relations and 460702001 unique ideals
  99. Thu Jan 22 08:20:08 2026 reduce to 627045020 relations and 455329496 ideals in 6 passes
  100. Thu Jan 22 08:20:08 2026 max relations containing the same ideal: 151
  101. Thu Jan 22 08:22:49 2026 removing 7172512 relations and 5172512 ideals in 2000000 cliques
  102. Thu Jan 22 08:23:00 2026 commencing in-memory singleton removal
  103. Thu Jan 22 08:23:46 2026 begin with 619872508 relations and 455329496 unique ideals
  104. Thu Jan 22 08:26:26 2026 reduce to 619801187 relations and 450085391 ideals in 6 passes
  105. Thu Jan 22 08:26:26 2026 max relations containing the same ideal: 150
  106. Thu Jan 22 08:29:04 2026 removing 7065096 relations and 5065096 ideals in 2000000 cliques
  107. Thu Jan 22 08:29:16 2026 commencing in-memory singleton removal
  108. Thu Jan 22 08:30:01 2026 begin with 612736091 relations and 450085391 unique ideals
  109. Thu Jan 22 08:32:39 2026 reduce to 612665535 relations and 444949459 ideals in 6 passes
  110. Thu Jan 22 08:32:39 2026 max relations containing the same ideal: 148
  111. Thu Jan 22 08:35:16 2026 removing 6971954 relations and 4971954 ideals in 2000000 cliques
  112. Thu Jan 22 08:35:28 2026 commencing in-memory singleton removal
  113. Thu Jan 22 08:36:12 2026 begin with 605693581 relations and 444949459 unique ideals
  114. Thu Jan 22 08:38:48 2026 reduce to 605624589 relations and 439908219 ideals in 6 passes
  115. Thu Jan 22 08:38:48 2026 max relations containing the same ideal: 148
  116. Thu Jan 22 08:41:24 2026 removing 6888287 relations and 4888287 ideals in 2000000 cliques
  117. Thu Jan 22 08:41:35 2026 commencing in-memory singleton removal
  118. Thu Jan 22 08:42:19 2026 begin with 598736302 relations and 439908219 unique ideals
  119. Thu Jan 22 08:44:27 2026 reduce to 598668163 relations and 434951520 ideals in 5 passes
  120. Thu Jan 22 08:44:27 2026 max relations containing the same ideal: 148
  121. Thu Jan 22 08:47:01 2026 removing 6814550 relations and 4814550 ideals in 2000000 cliques
  122. Thu Jan 22 08:47:12 2026 commencing in-memory singleton removal
  123. Thu Jan 22 08:47:55 2026 begin with 591853613 relations and 434951520 unique ideals
  124. Thu Jan 22 08:50:26 2026 reduce to 591785895 relations and 430068950 ideals in 6 passes
  125. Thu Jan 22 08:50:26 2026 max relations containing the same ideal: 148
  126. Thu Jan 22 08:52:58 2026 removing 6743316 relations and 4743316 ideals in 2000000 cliques
  127. Thu Jan 22 08:53:09 2026 commencing in-memory singleton removal
  128. Thu Jan 22 08:53:51 2026 begin with 585042579 relations and 430068950 unique ideals
  129. Thu Jan 22 08:55:56 2026 reduce to 584974360 relations and 425257118 ideals in 5 passes
  130. Thu Jan 22 08:55:56 2026 max relations containing the same ideal: 146
  131. Thu Jan 22 08:58:27 2026 removing 6682177 relations and 4682177 ideals in 2000000 cliques
  132. Thu Jan 22 08:58:37 2026 commencing in-memory singleton removal
  133. Thu Jan 22 08:59:19 2026 begin with 578292183 relations and 425257118 unique ideals
  134. Thu Jan 22 09:02:11 2026 reduce to 578224794 relations and 420507230 ideals in 7 passes
  135. Thu Jan 22 09:02:11 2026 max relations containing the same ideal: 143
  136. Thu Jan 22 09:04:39 2026 removing 6629090 relations and 4629090 ideals in 2000000 cliques
  137. Thu Jan 22 09:04:49 2026 commencing in-memory singleton removal
  138. Thu Jan 22 09:05:31 2026 begin with 571595704 relations and 420507230 unique ideals
  139. Thu Jan 22 09:07:56 2026 reduce to 571528297 relations and 415810435 ideals in 6 passes
  140. Thu Jan 22 09:07:56 2026 max relations containing the same ideal: 143
  141. Thu Jan 22 09:10:23 2026 removing 6575967 relations and 4575967 ideals in 2000000 cliques
  142. Thu Jan 22 09:10:33 2026 commencing in-memory singleton removal
  143. Thu Jan 22 09:11:14 2026 begin with 564952330 relations and 415810435 unique ideals
  144. Thu Jan 22 09:13:14 2026 reduce to 564885249 relations and 411167061 ideals in 5 passes
  145. Thu Jan 22 09:13:14 2026 max relations containing the same ideal: 141
  146. Thu Jan 22 09:15:39 2026 removing 6529446 relations and 4529446 ideals in 2000000 cliques
  147. Thu Jan 22 09:15:50 2026 commencing in-memory singleton removal
  148. Thu Jan 22 09:16:30 2026 begin with 558355803 relations and 411167061 unique ideals
  149. Thu Jan 22 09:18:52 2026 reduce to 558288052 relations and 406569534 ideals in 6 passes
  150. Thu Jan 22 09:18:52 2026 max relations containing the same ideal: 141
  151. Thu Jan 22 09:21:16 2026 removing 6486326 relations and 4486326 ideals in 2000000 cliques
  152. Thu Jan 22 09:21:27 2026 commencing in-memory singleton removal
  153. Thu Jan 22 09:22:06 2026 begin with 551801726 relations and 406569534 unique ideals
  154. Thu Jan 22 09:24:03 2026 reduce to 551734610 relations and 402015702 ideals in 5 passes
  155. Thu Jan 22 09:24:03 2026 max relations containing the same ideal: 140
  156. Thu Jan 22 09:26:25 2026 removing 6448656 relations and 4448656 ideals in 2000000 cliques
  157. Thu Jan 22 09:26:35 2026 commencing in-memory singleton removal
  158. Thu Jan 22 09:27:14 2026 begin with 545285954 relations and 402015702 unique ideals
  159. Thu Jan 22 09:29:33 2026 reduce to 545218986 relations and 397499735 ideals in 6 passes
  160. Thu Jan 22 09:29:33 2026 max relations containing the same ideal: 139
  161. Thu Jan 22 09:31:53 2026 removing 6413328 relations and 4413328 ideals in 2000000 cliques
  162. Thu Jan 22 09:32:02 2026 commencing in-memory singleton removal
  163. Thu Jan 22 09:32:41 2026 begin with 538805658 relations and 397499735 unique ideals
  164. Thu Jan 22 09:34:35 2026 reduce to 538738094 relations and 393018461 ideals in 5 passes
  165. Thu Jan 22 09:34:35 2026 max relations containing the same ideal: 137
  166. Thu Jan 22 09:36:54 2026 removing 6378897 relations and 4378897 ideals in 2000000 cliques
  167. Thu Jan 22 09:37:04 2026 commencing in-memory singleton removal
  168. Thu Jan 22 09:37:42 2026 begin with 532359197 relations and 393018461 unique ideals
  169. Thu Jan 22 09:39:57 2026 reduce to 532291050 relations and 388571040 ideals in 6 passes
  170. Thu Jan 22 09:39:57 2026 max relations containing the same ideal: 136
  171. Thu Jan 22 09:42:14 2026 removing 6346890 relations and 4346890 ideals in 2000000 cliques
  172. Thu Jan 22 09:42:24 2026 commencing in-memory singleton removal
  173. Thu Jan 22 09:43:01 2026 begin with 525944160 relations and 388571040 unique ideals
  174. Thu Jan 22 09:45:14 2026 reduce to 525876438 relations and 384156014 ideals in 6 passes
  175. Thu Jan 22 09:45:14 2026 max relations containing the same ideal: 136
  176. Thu Jan 22 09:47:30 2026 removing 6319683 relations and 4319683 ideals in 2000000 cliques
  177. Thu Jan 22 09:47:40 2026 commencing in-memory singleton removal
  178. Thu Jan 22 09:48:17 2026 begin with 519556755 relations and 384156014 unique ideals
  179. Thu Jan 22 09:50:28 2026 reduce to 519489042 relations and 379768179 ideals in 6 passes
  180. Thu Jan 22 09:50:28 2026 max relations containing the same ideal: 135
  181. Thu Jan 22 09:52:42 2026 removing 6293303 relations and 4293303 ideals in 2000000 cliques
  182. Thu Jan 22 09:52:52 2026 commencing in-memory singleton removal
  183. Thu Jan 22 09:53:28 2026 begin with 513195739 relations and 379768179 unique ideals
  184. Thu Jan 22 09:55:17 2026 reduce to 513126720 relations and 375405423 ideals in 5 passes
  185. Thu Jan 22 09:55:17 2026 max relations containing the same ideal: 132
  186. Thu Jan 22 09:57:29 2026 removing 6267200 relations and 4267200 ideals in 2000000 cliques
  187. Thu Jan 22 09:57:39 2026 commencing in-memory singleton removal
  188. Thu Jan 22 09:58:15 2026 begin with 506859520 relations and 375405423 unique ideals
  189. Thu Jan 22 10:00:23 2026 reduce to 506790505 relations and 371068777 ideals in 6 passes
  190. Thu Jan 22 10:00:23 2026 max relations containing the same ideal: 132
  191. Thu Jan 22 10:02:34 2026 removing 6242599 relations and 4242599 ideals in 2000000 cliques
  192. Thu Jan 22 10:02:43 2026 commencing in-memory singleton removal
  193. Thu Jan 22 10:03:19 2026 begin with 500547906 relations and 371068777 unique ideals
  194. Thu Jan 22 10:05:25 2026 reduce to 500478706 relations and 366756537 ideals in 6 passes
  195. Thu Jan 22 10:05:25 2026 max relations containing the same ideal: 131
  196. Thu Jan 22 10:07:34 2026 removing 6218878 relations and 4218878 ideals in 2000000 cliques
  197. Thu Jan 22 10:07:43 2026 commencing in-memory singleton removal
  198. Thu Jan 22 10:08:18 2026 begin with 494259828 relations and 366756537 unique ideals
  199. Thu Jan 22 10:10:22 2026 reduce to 494190490 relations and 362467849 ideals in 6 passes
  200. Thu Jan 22 10:10:22 2026 max relations containing the same ideal: 128
  201. Thu Jan 22 10:12:30 2026 removing 6198901 relations and 4198901 ideals in 2000000 cliques
  202. Thu Jan 22 10:12:39 2026 commencing in-memory singleton removal
  203. Thu Jan 22 10:13:14 2026 begin with 487991589 relations and 362467849 unique ideals
  204. Thu Jan 22 10:15:16 2026 reduce to 487921367 relations and 358198241 ideals in 6 passes
  205. Thu Jan 22 10:15:16 2026 max relations containing the same ideal: 128
  206. Thu Jan 22 10:17:23 2026 removing 6180266 relations and 4180266 ideals in 2000000 cliques
  207. Thu Jan 22 10:17:31 2026 commencing in-memory singleton removal
  208. Thu Jan 22 10:18:05 2026 begin with 481741101 relations and 358198241 unique ideals
  209. Thu Jan 22 10:19:47 2026 reduce to 481669608 relations and 353945962 ideals in 5 passes
  210. Thu Jan 22 10:19:47 2026 max relations containing the same ideal: 128
  211. Thu Jan 22 10:21:51 2026 removing 6163663 relations and 4163663 ideals in 2000000 cliques
  212. Thu Jan 22 10:22:00 2026 commencing in-memory singleton removal
  213. Thu Jan 22 10:22:34 2026 begin with 475505945 relations and 353945962 unique ideals
  214. Thu Jan 22 10:24:33 2026 reduce to 475434498 relations and 349710309 ideals in 6 passes
  215. Thu Jan 22 10:24:33 2026 max relations containing the same ideal: 128
  216. Thu Jan 22 10:26:37 2026 removing 6150192 relations and 4150192 ideals in 2000000 cliques
  217. Thu Jan 22 10:26:46 2026 commencing in-memory singleton removal
  218. Thu Jan 22 10:27:19 2026 begin with 469284306 relations and 349710309 unique ideals
  219. Thu Jan 22 10:28:57 2026 reduce to 469212002 relations and 345487259 ideals in 5 passes
  220. Thu Jan 22 10:28:57 2026 max relations containing the same ideal: 126
  221. Thu Jan 22 10:30:59 2026 removing 6133008 relations and 4133008 ideals in 2000000 cliques
  222. Thu Jan 22 10:31:08 2026 commencing in-memory singleton removal
  223. Thu Jan 22 10:31:41 2026 begin with 463078994 relations and 345487259 unique ideals
  224. Thu Jan 22 10:33:18 2026 reduce to 463006360 relations and 341281037 ideals in 5 passes
  225. Thu Jan 22 10:33:18 2026 max relations containing the same ideal: 124
  226. Thu Jan 22 10:35:18 2026 removing 6118478 relations and 4118478 ideals in 2000000 cliques
  227. Thu Jan 22 10:35:27 2026 commencing in-memory singleton removal
  228. Thu Jan 22 10:35:59 2026 begin with 456887882 relations and 341281037 unique ideals
  229. Thu Jan 22 10:37:34 2026 reduce to 456814342 relations and 337088423 ideals in 5 passes
  230. Thu Jan 22 10:37:34 2026 max relations containing the same ideal: 123
  231. Thu Jan 22 10:39:33 2026 removing 6104609 relations and 4104609 ideals in 2000000 cliques
  232. Thu Jan 22 10:39:41 2026 commencing in-memory singleton removal
  233. Thu Jan 22 10:40:13 2026 begin with 450709733 relations and 337088423 unique ideals
  234. Thu Jan 22 10:42:06 2026 reduce to 450635123 relations and 332908574 ideals in 6 passes
  235. Thu Jan 22 10:42:06 2026 max relations containing the same ideal: 122
  236. Thu Jan 22 10:44:03 2026 removing 6092159 relations and 4092159 ideals in 2000000 cliques
  237. Thu Jan 22 10:44:11 2026 commencing in-memory singleton removal
  238. Thu Jan 22 10:44:42 2026 begin with 444542964 relations and 332908574 unique ideals
  239. Thu Jan 22 10:46:33 2026 reduce to 444468350 relations and 328741204 ideals in 6 passes
  240. Thu Jan 22 10:46:33 2026 max relations containing the same ideal: 121
  241. Thu Jan 22 10:48:29 2026 removing 6082620 relations and 4082620 ideals in 2000000 cliques
  242. Thu Jan 22 10:48:37 2026 commencing in-memory singleton removal
  243. Thu Jan 22 10:49:08 2026 begin with 438385730 relations and 328741204 unique ideals
  244. Thu Jan 22 10:50:40 2026 reduce to 438309274 relations and 324581489 ideals in 5 passes
  245. Thu Jan 22 10:50:40 2026 max relations containing the same ideal: 120
  246. Thu Jan 22 10:52:34 2026 removing 6069888 relations and 4069888 ideals in 2000000 cliques
  247. Thu Jan 22 10:52:42 2026 commencing in-memory singleton removal
  248. Thu Jan 22 10:53:13 2026 begin with 432239386 relations and 324581489 unique ideals
  249. Thu Jan 22 10:54:43 2026 reduce to 432162573 relations and 320434144 ideals in 5 passes
  250. Thu Jan 22 10:54:43 2026 max relations containing the same ideal: 120
  251. Thu Jan 22 10:56:35 2026 removing 6063506 relations and 4063506 ideals in 2000000 cliques
  252. Thu Jan 22 10:56:43 2026 commencing in-memory singleton removal
  253. Thu Jan 22 10:57:13 2026 begin with 426099067 relations and 320434144 unique ideals
  254. Thu Jan 22 10:58:59 2026 reduce to 426021202 relations and 316292108 ideals in 6 passes
  255. Thu Jan 22 10:58:59 2026 max relations containing the same ideal: 119
  256. Thu Jan 22 11:00:50 2026 removing 6054814 relations and 4054814 ideals in 2000000 cliques
  257. Thu Jan 22 11:00:58 2026 commencing in-memory singleton removal
  258. Thu Jan 22 11:01:27 2026 begin with 419966388 relations and 316292108 unique ideals
  259. Thu Jan 22 11:03:11 2026 reduce to 419888165 relations and 312158380 ideals in 6 passes
  260. Thu Jan 22 11:03:11 2026 max relations containing the same ideal: 118
  261. Thu Jan 22 11:05:01 2026 removing 6048001 relations and 4048001 ideals in 2000000 cliques
  262. Thu Jan 22 11:05:09 2026 commencing in-memory singleton removal
  263. Thu Jan 22 11:05:38 2026 begin with 413840164 relations and 312158380 unique ideals
  264. Thu Jan 22 11:07:20 2026 reduce to 413760472 relations and 308029937 ideals in 6 passes
  265. Thu Jan 22 11:07:20 2026 max relations containing the same ideal: 116
  266. Thu Jan 22 11:09:09 2026 removing 6041871 relations and 4041871 ideals in 2000000 cliques
  267. Thu Jan 22 11:09:16 2026 commencing in-memory singleton removal
  268. Thu Jan 22 11:09:45 2026 begin with 407718601 relations and 308029937 unique ideals
  269. Thu Jan 22 11:11:26 2026 reduce to 407638647 relations and 303907404 ideals in 6 passes
  270. Thu Jan 22 11:11:26 2026 max relations containing the same ideal: 116
  271. Thu Jan 22 11:13:12 2026 removing 6036183 relations and 4036183 ideals in 2000000 cliques
  272. Thu Jan 22 11:13:20 2026 commencing in-memory singleton removal
  273. Thu Jan 22 11:13:48 2026 begin with 401602464 relations and 303907404 unique ideals
  274. Thu Jan 22 11:15:27 2026 reduce to 401520534 relations and 299788549 ideals in 6 passes
  275. Thu Jan 22 11:15:27 2026 max relations containing the same ideal: 114
  276. Thu Jan 22 11:17:12 2026 removing 6031133 relations and 4031133 ideals in 2000000 cliques
  277. Thu Jan 22 11:17:19 2026 commencing in-memory singleton removal
  278. Thu Jan 22 11:17:47 2026 begin with 395489401 relations and 299788549 unique ideals
  279. Thu Jan 22 11:19:24 2026 reduce to 395407057 relations and 295674298 ideals in 6 passes
  280. Thu Jan 22 11:19:24 2026 max relations containing the same ideal: 112
  281. Thu Jan 22 11:21:08 2026 removing 6026407 relations and 4026407 ideals in 2000000 cliques
  282. Thu Jan 22 11:21:15 2026 commencing in-memory singleton removal
  283. Thu Jan 22 11:21:42 2026 begin with 389380650 relations and 295674298 unique ideals
  284. Thu Jan 22 11:23:18 2026 reduce to 389296866 relations and 291563296 ideals in 6 passes
  285. Thu Jan 22 11:23:18 2026 max relations containing the same ideal: 112
  286. Thu Jan 22 11:25:00 2026 removing 6023060 relations and 4023060 ideals in 2000000 cliques
  287. Thu Jan 22 11:25:07 2026 commencing in-memory singleton removal
  288. Thu Jan 22 11:25:34 2026 begin with 383273806 relations and 291563296 unique ideals
  289. Thu Jan 22 11:26:53 2026 reduce to 383188763 relations and 287454387 ideals in 5 passes
  290. Thu Jan 22 11:26:53 2026 max relations containing the same ideal: 111
  291. Thu Jan 22 11:28:33 2026 removing 6019073 relations and 4019073 ideals in 2000000 cliques
  292. Thu Jan 22 11:28:41 2026 commencing in-memory singleton removal
  293. Thu Jan 22 11:29:07 2026 begin with 377169690 relations and 287454387 unique ideals
  294. Thu Jan 22 11:30:39 2026 reduce to 377083714 relations and 283348497 ideals in 6 passes
  295. Thu Jan 22 11:30:39 2026 max relations containing the same ideal: 111
  296. Thu Jan 22 11:32:18 2026 removing 6017650 relations and 4017650 ideals in 2000000 cliques
  297. Thu Jan 22 11:32:25 2026 commencing in-memory singleton removal
  298. Thu Jan 22 11:32:51 2026 begin with 371066064 relations and 283348497 unique ideals
  299. Thu Jan 22 11:34:07 2026 reduce to 370978544 relations and 279242456 ideals in 5 passes
  300. Thu Jan 22 11:34:07 2026 max relations containing the same ideal: 111
  301. Thu Jan 22 11:35:45 2026 removing 6021363 relations and 4021363 ideals in 2000000 cliques
  302. Thu Jan 22 11:35:52 2026 commencing in-memory singleton removal
  303. Thu Jan 22 11:36:17 2026 begin with 364957181 relations and 279242456 unique ideals
  304. Thu Jan 22 11:37:46 2026 reduce to 364868189 relations and 275131158 ideals in 6 passes
  305. Thu Jan 22 11:37:46 2026 max relations containing the same ideal: 109
  306. Thu Jan 22 11:39:22 2026 removing 6021039 relations and 4021039 ideals in 2000000 cliques
  307. Thu Jan 22 11:39:29 2026 commencing in-memory singleton removal
  308. Thu Jan 22 11:39:54 2026 begin with 358847150 relations and 275131158 unique ideals
  309. Thu Jan 22 11:41:22 2026 reduce to 358756826 relations and 271018900 ideals in 6 passes
  310. Thu Jan 22 11:41:22 2026 max relations containing the same ideal: 109
  311. Thu Jan 22 11:42:57 2026 removing 6022746 relations and 4022746 ideals in 2000000 cliques
  312. Thu Jan 22 11:43:03 2026 commencing in-memory singleton removal
  313. Thu Jan 22 11:43:27 2026 begin with 352734080 relations and 271018900 unique ideals
  314. Thu Jan 22 11:44:39 2026 reduce to 352642218 relations and 266903375 ideals in 5 passes
  315. Thu Jan 22 11:44:39 2026 max relations containing the same ideal: 107
  316. Thu Jan 22 11:46:13 2026 removing 6021888 relations and 4021888 ideals in 2000000 cliques
  317. Thu Jan 22 11:46:19 2026 commencing in-memory singleton removal
  318. Thu Jan 22 11:46:43 2026 begin with 346620330 relations and 266903375 unique ideals
  319. Thu Jan 22 11:48:07 2026 reduce to 346526907 relations and 262787098 ideals in 6 passes
  320. Thu Jan 22 11:48:07 2026 max relations containing the same ideal: 106
  321. Thu Jan 22 11:49:39 2026 removing 6028876 relations and 4028876 ideals in 2000000 cliques
  322. Thu Jan 22 11:49:45 2026 commencing in-memory singleton removal
  323. Thu Jan 22 11:50:08 2026 begin with 340498031 relations and 262787098 unique ideals
  324. Thu Jan 22 11:51:17 2026 reduce to 340402854 relations and 258662057 ideals in 5 passes
  325. Thu Jan 22 11:51:17 2026 max relations containing the same ideal: 104
  326. Thu Jan 22 11:52:48 2026 removing 6032690 relations and 4032690 ideals in 2000000 cliques
  327. Thu Jan 22 11:52:54 2026 commencing in-memory singleton removal
  328. Thu Jan 22 11:53:17 2026 begin with 334370164 relations and 258662057 unique ideals
  329. Thu Jan 22 11:54:38 2026 reduce to 334274167 relations and 254532346 ideals in 6 passes
  330. Thu Jan 22 11:54:38 2026 max relations containing the same ideal: 103
  331. Thu Jan 22 11:56:07 2026 removing 6034872 relations and 4034872 ideals in 2000000 cliques
  332. Thu Jan 22 11:56:13 2026 commencing in-memory singleton removal
  333. Thu Jan 22 11:56:35 2026 begin with 328239295 relations and 254532346 unique ideals
  334. Thu Jan 22 11:57:55 2026 reduce to 328141124 relations and 250398179 ideals in 6 passes
  335. Thu Jan 22 11:57:55 2026 max relations containing the same ideal: 102
  336. Thu Jan 22 11:59:22 2026 removing 6041470 relations and 4041470 ideals in 2000000 cliques
  337. Thu Jan 22 11:59:28 2026 commencing in-memory singleton removal
  338. Thu Jan 22 11:59:50 2026 begin with 322099654 relations and 250398179 unique ideals
  339. Thu Jan 22 12:01:08 2026 reduce to 322000180 relations and 246256105 ideals in 6 passes
  340. Thu Jan 22 12:01:08 2026 max relations containing the same ideal: 102
  341. Thu Jan 22 12:02:34 2026 removing 6045423 relations and 4045423 ideals in 2000000 cliques
  342. Thu Jan 22 12:02:40 2026 commencing in-memory singleton removal
  343. Thu Jan 22 12:03:01 2026 begin with 315954757 relations and 246256105 unique ideals
  344. Thu Jan 22 12:04:18 2026 reduce to 315852760 relations and 242107548 ideals in 6 passes
  345. Thu Jan 22 12:04:18 2026 max relations containing the same ideal: 101
  346. Thu Jan 22 12:05:42 2026 removing 6053417 relations and 4053417 ideals in 2000000 cliques
  347. Thu Jan 22 12:05:48 2026 commencing in-memory singleton removal
  348. Thu Jan 22 12:06:09 2026 begin with 309799343 relations and 242107548 unique ideals
  349. Thu Jan 22 12:07:23 2026 reduce to 309695519 relations and 237949103 ideals in 6 passes
  350. Thu Jan 22 12:07:23 2026 max relations containing the same ideal: 100
  351. Thu Jan 22 12:08:46 2026 removing 6060428 relations and 4060428 ideals in 2000000 cliques
  352. Thu Jan 22 12:08:52 2026 commencing in-memory singleton removal
  353. Thu Jan 22 12:09:12 2026 begin with 303635091 relations and 237949103 unique ideals
  354. Thu Jan 22 12:10:25 2026 reduce to 303529413 relations and 233781821 ideals in 6 passes
  355. Thu Jan 22 12:10:25 2026 max relations containing the same ideal: 96
  356. Thu Jan 22 12:11:46 2026 removing 6074695 relations and 4074695 ideals in 2000000 cliques
  357. Thu Jan 22 12:11:52 2026 commencing in-memory singleton removal
  358. Thu Jan 22 12:12:12 2026 begin with 297454718 relations and 233781821 unique ideals
  359. Thu Jan 22 12:13:24 2026 reduce to 297347295 relations and 229598496 ideals in 6 passes
  360. Thu Jan 22 12:13:24 2026 max relations containing the same ideal: 95
  361. Thu Jan 22 12:14:43 2026 removing 6081954 relations and 4081954 ideals in 2000000 cliques
  362. Thu Jan 22 12:14:49 2026 commencing in-memory singleton removal
  363. Thu Jan 22 12:15:09 2026 begin with 291265341 relations and 229598496 unique ideals
  364. Thu Jan 22 12:16:19 2026 reduce to 291155586 relations and 225405517 ideals in 6 passes
  365. Thu Jan 22 12:16:19 2026 max relations containing the same ideal: 95
  366. Thu Jan 22 12:17:37 2026 removing 6089209 relations and 4089209 ideals in 2000000 cliques
  367. Thu Jan 22 12:17:42 2026 commencing in-memory singleton removal
  368. Thu Jan 22 12:18:01 2026 begin with 285066377 relations and 225405517 unique ideals
  369. Thu Jan 22 12:19:10 2026 reduce to 284954084 relations and 221202743 ideals in 6 passes
  370. Thu Jan 22 12:19:10 2026 max relations containing the same ideal: 94
  371. Thu Jan 22 12:20:26 2026 removing 6106113 relations and 4106113 ideals in 2000000 cliques
  372. Thu Jan 22 12:20:32 2026 commencing in-memory singleton removal
  373. Thu Jan 22 12:20:50 2026 begin with 278847971 relations and 221202743 unique ideals
  374. Thu Jan 22 12:21:57 2026 reduce to 278732651 relations and 216979975 ideals in 6 passes
  375. Thu Jan 22 12:21:57 2026 max relations containing the same ideal: 93
  376. Thu Jan 22 12:23:12 2026 removing 6120904 relations and 4120904 ideals in 2000000 cliques
  377. Thu Jan 22 12:23:17 2026 commencing in-memory singleton removal
  378. Thu Jan 22 12:23:35 2026 begin with 272611747 relations and 216979975 unique ideals
  379. Thu Jan 22 12:24:40 2026 reduce to 272494078 relations and 212740026 ideals in 6 passes
  380. Thu Jan 22 12:24:40 2026 max relations containing the same ideal: 92
  381. Thu Jan 22 12:25:52 2026 removing 6136006 relations and 4136006 ideals in 2000000 cliques
  382. Thu Jan 22 12:25:58 2026 commencing in-memory singleton removal
  383. Thu Jan 22 12:26:16 2026 begin with 266358072 relations and 212740026 unique ideals
  384. Thu Jan 22 12:27:19 2026 reduce to 266237518 relations and 208482024 ideals in 6 passes
  385. Thu Jan 22 12:27:19 2026 max relations containing the same ideal: 90
  386. Thu Jan 22 12:28:29 2026 removing 6153385 relations and 4153385 ideals in 2000000 cliques
  387. Thu Jan 22 12:28:35 2026 commencing in-memory singleton removal
  388. Thu Jan 22 12:28:52 2026 begin with 260084133 relations and 208482024 unique ideals
  389. Thu Jan 22 12:29:53 2026 reduce to 259960452 relations and 204203454 ideals in 6 passes
  390. Thu Jan 22 12:29:53 2026 max relations containing the same ideal: 88
  391. Thu Jan 22 12:31:02 2026 removing 6172223 relations and 4172223 ideals in 2000000 cliques
  392. Thu Jan 22 12:31:07 2026 commencing in-memory singleton removal
  393. Thu Jan 22 12:31:24 2026 begin with 253788229 relations and 204203454 unique ideals
  394. Thu Jan 22 12:32:24 2026 reduce to 253661294 relations and 199902824 ideals in 6 passes
  395. Thu Jan 22 12:32:24 2026 max relations containing the same ideal: 87
  396. Thu Jan 22 12:33:31 2026 removing 6193918 relations and 4193918 ideals in 2000000 cliques
  397. Thu Jan 22 12:33:35 2026 commencing in-memory singleton removal
  398. Thu Jan 22 12:33:52 2026 begin with 247467376 relations and 199902824 unique ideals
  399. Thu Jan 22 12:34:50 2026 reduce to 247336817 relations and 195576812 ideals in 6 passes
  400. Thu Jan 22 12:34:50 2026 max relations containing the same ideal: 85
  401. Thu Jan 22 12:35:56 2026 removing 6214402 relations and 4214402 ideals in 2000000 cliques
  402. Thu Jan 22 12:36:01 2026 commencing in-memory singleton removal
  403. Thu Jan 22 12:36:16 2026 begin with 241122415 relations and 195576812 unique ideals
  404. Thu Jan 22 12:37:13 2026 reduce to 240988566 relations and 191226931 ideals in 6 passes
  405. Thu Jan 22 12:37:13 2026 max relations containing the same ideal: 83
  406. Thu Jan 22 12:38:17 2026 removing 6240253 relations and 4240253 ideals in 2000000 cliques
  407. Thu Jan 22 12:38:21 2026 commencing in-memory singleton removal
  408. Thu Jan 22 12:38:37 2026 begin with 234748313 relations and 191226931 unique ideals
  409. Thu Jan 22 12:39:23 2026 reduce to 234609272 relations and 186845860 ideals in 5 passes
  410. Thu Jan 22 12:39:23 2026 max relations containing the same ideal: 82
  411. Thu Jan 22 12:40:25 2026 removing 6267829 relations and 4267829 ideals in 2000000 cliques
  412. Thu Jan 22 12:40:30 2026 commencing in-memory singleton removal
  413. Thu Jan 22 12:40:45 2026 begin with 228341443 relations and 186845860 unique ideals
  414. Thu Jan 22 12:41:39 2026 reduce to 228200239 relations and 182435090 ideals in 6 passes
  415. Thu Jan 22 12:41:39 2026 max relations containing the same ideal: 78
  416. Thu Jan 22 12:42:39 2026 removing 6296462 relations and 4296462 ideals in 2000000 cliques
  417. Thu Jan 22 12:42:44 2026 commencing in-memory singleton removal
  418. Thu Jan 22 12:42:58 2026 begin with 221903777 relations and 182435090 unique ideals
  419. Thu Jan 22 12:43:50 2026 reduce to 221756378 relations and 177989401 ideals in 6 passes
  420. Thu Jan 22 12:43:50 2026 max relations containing the same ideal: 78
  421. Thu Jan 22 12:44:49 2026 removing 6329808 relations and 4329808 ideals in 2000000 cliques
  422. Thu Jan 22 12:44:54 2026 commencing in-memory singleton removal
  423. Thu Jan 22 12:45:08 2026 begin with 215426570 relations and 177989401 unique ideals
  424. Thu Jan 22 12:45:58 2026 reduce to 215275148 relations and 173506326 ideals in 6 passes
  425. Thu Jan 22 12:45:58 2026 max relations containing the same ideal: 76
  426. Thu Jan 22 12:46:56 2026 removing 6360503 relations and 4360503 ideals in 2000000 cliques
  427. Thu Jan 22 12:47:01 2026 commencing in-memory singleton removal
  428. Thu Jan 22 12:47:14 2026 begin with 208914645 relations and 173506326 unique ideals
  429. Thu Jan 22 12:48:03 2026 reduce to 208757637 relations and 168986857 ideals in 6 passes
  430. Thu Jan 22 12:48:03 2026 max relations containing the same ideal: 76
  431. Thu Jan 22 12:48:59 2026 removing 6399472 relations and 4399472 ideals in 2000000 cliques
  432. Thu Jan 22 12:49:03 2026 commencing in-memory singleton removal
  433. Thu Jan 22 12:49:16 2026 begin with 202358165 relations and 168986857 unique ideals
  434. Thu Jan 22 12:50:03 2026 reduce to 202195504 relations and 164422666 ideals in 6 passes
  435. Thu Jan 22 12:50:03 2026 max relations containing the same ideal: 76
  436. Thu Jan 22 12:50:57 2026 removing 6436358 relations and 4436358 ideals in 2000000 cliques
  437. Thu Jan 22 12:51:02 2026 commencing in-memory singleton removal
  438. Thu Jan 22 12:51:14 2026 begin with 195759146 relations and 164422666 unique ideals
  439. Thu Jan 22 12:51:59 2026 reduce to 195589524 relations and 159814463 ideals in 6 passes
  440. Thu Jan 22 12:51:59 2026 max relations containing the same ideal: 72
  441. Thu Jan 22 12:52:52 2026 removing 6479614 relations and 4479614 ideals in 2000000 cliques
  442. Thu Jan 22 12:52:56 2026 commencing in-memory singleton removal
  443. Thu Jan 22 12:53:09 2026 begin with 189109910 relations and 159814463 unique ideals
  444. Thu Jan 22 12:53:52 2026 reduce to 188934369 relations and 155157054 ideals in 6 passes
  445. Thu Jan 22 12:53:52 2026 max relations containing the same ideal: 69
  446. Thu Jan 22 12:54:44 2026 removing 6527575 relations and 4527575 ideals in 2000000 cliques
  447. Thu Jan 22 12:54:48 2026 commencing in-memory singleton removal
  448. Thu Jan 22 12:55:00 2026 begin with 182406794 relations and 155157054 unique ideals
  449. Thu Jan 22 12:55:42 2026 reduce to 182222692 relations and 150442911 ideals in 6 passes
  450. Thu Jan 22 12:55:42 2026 max relations containing the same ideal: 68
  451. Thu Jan 22 12:56:32 2026 removing 6577125 relations and 4577125 ideals in 2000000 cliques
  452. Thu Jan 22 12:56:36 2026 commencing in-memory singleton removal
  453. Thu Jan 22 12:56:47 2026 begin with 175645567 relations and 150442911 unique ideals
  454. Thu Jan 22 12:57:27 2026 reduce to 175454034 relations and 145671775 ideals in 6 passes
  455. Thu Jan 22 12:57:27 2026 max relations containing the same ideal: 67
  456. Thu Jan 22 12:58:15 2026 removing 6630172 relations and 4630172 ideals in 2000000 cliques
  457. Thu Jan 22 12:58:19 2026 commencing in-memory singleton removal
  458. Thu Jan 22 12:58:29 2026 begin with 168823862 relations and 145671775 unique ideals
  459. Thu Jan 22 12:59:07 2026 reduce to 168622956 relations and 140837966 ideals in 6 passes
  460. Thu Jan 22 12:59:07 2026 max relations containing the same ideal: 64
  461. Thu Jan 22 12:59:53 2026 removing 6689844 relations and 4689844 ideals in 2000000 cliques
  462. Thu Jan 22 12:59:57 2026 commencing in-memory singleton removal
  463. Thu Jan 22 13:00:08 2026 begin with 161933112 relations and 140837966 unique ideals
  464. Thu Jan 22 13:00:50 2026 reduce to 161721594 relations and 135933760 ideals in 7 passes
  465. Thu Jan 22 13:00:50 2026 max relations containing the same ideal: 63
  466. Thu Jan 22 13:01:35 2026 removing 6754722 relations and 4754722 ideals in 2000000 cliques
  467. Thu Jan 22 13:01:38 2026 commencing in-memory singleton removal
  468. Thu Jan 22 13:01:48 2026 begin with 154966872 relations and 135933760 unique ideals
  469. Thu Jan 22 13:02:22 2026 reduce to 154743176 relations and 130952428 ideals in 6 passes
  470. Thu Jan 22 13:02:22 2026 max relations containing the same ideal: 61
  471. Thu Jan 22 13:03:05 2026 removing 6823099 relations and 4823099 ideals in 2000000 cliques
  472. Thu Jan 22 13:03:09 2026 commencing in-memory singleton removal
  473. Thu Jan 22 13:03:18 2026 begin with 147920077 relations and 130952428 unique ideals
  474. Thu Jan 22 13:03:56 2026 reduce to 147682980 relations and 125888940 ideals in 7 passes
  475. Thu Jan 22 13:03:56 2026 max relations containing the same ideal: 59
  476. Thu Jan 22 13:04:37 2026 removing 6900543 relations and 4900543 ideals in 2000000 cliques
  477. Thu Jan 22 13:04:41 2026 commencing in-memory singleton removal
  478. Thu Jan 22 13:04:49 2026 begin with 140782437 relations and 125888940 unique ideals
  479. Thu Jan 22 13:05:20 2026 reduce to 140530751 relations and 120733200 ideals in 6 passes
  480. Thu Jan 22 13:05:20 2026 max relations containing the same ideal: 58
  481. Thu Jan 22 13:06:00 2026 removing 6985185 relations and 4985185 ideals in 2000000 cliques
  482. Thu Jan 22 13:06:03 2026 commencing in-memory singleton removal
  483. Thu Jan 22 13:06:11 2026 begin with 133545566 relations and 120733200 unique ideals
  484. Thu Jan 22 13:06:45 2026 reduce to 133279282 relations and 115477890 ideals in 7 passes
  485. Thu Jan 22 13:06:45 2026 max relations containing the same ideal: 56
  486. Thu Jan 22 13:07:22 2026 removing 7074674 relations and 5074674 ideals in 2000000 cliques
  487. Thu Jan 22 13:07:25 2026 commencing in-memory singleton removal
  488. Thu Jan 22 13:07:33 2026 begin with 126204608 relations and 115477890 unique ideals
  489. Thu Jan 22 13:08:05 2026 reduce to 125918417 relations and 110112950 ideals in 7 passes
  490. Thu Jan 22 13:08:05 2026 max relations containing the same ideal: 55
  491. Thu Jan 22 13:08:41 2026 removing 7170070 relations and 5170070 ideals in 2000000 cliques
  492. Thu Jan 22 13:08:45 2026 commencing in-memory singleton removal
  493. Thu Jan 22 13:08:51 2026 begin with 118748347 relations and 110112950 unique ideals
  494. Thu Jan 22 13:09:21 2026 reduce to 118438210 relations and 104628133 ideals in 7 passes
  495. Thu Jan 22 13:09:21 2026 max relations containing the same ideal: 52
  496. Thu Jan 22 13:09:55 2026 removing 7273316 relations and 5273316 ideals in 2000000 cliques
  497. Thu Jan 22 13:09:58 2026 commencing in-memory singleton removal
  498. Thu Jan 22 13:10:04 2026 begin with 111164894 relations and 104628133 unique ideals
  499. Thu Jan 22 13:10:32 2026 reduce to 110828097 relations and 99012903 ideals in 7 passes
  500. Thu Jan 22 13:10:32 2026 max relations containing the same ideal: 50
  501. Thu Jan 22 13:11:03 2026 removing 7390401 relations and 5390401 ideals in 2000000 cliques
  502. Thu Jan 22 13:11:06 2026 commencing in-memory singleton removal
  503. Thu Jan 22 13:11:12 2026 begin with 103437696 relations and 99012903 unique ideals
  504. Thu Jan 22 13:11:41 2026 reduce to 103070398 relations and 93249292 ideals in 8 passes
  505. Thu Jan 22 13:11:41 2026 max relations containing the same ideal: 48
  506. Thu Jan 22 13:12:10 2026 removing 7518677 relations and 5518677 ideals in 2000000 cliques
  507. Thu Jan 22 13:12:13 2026 commencing in-memory singleton removal
  508. Thu Jan 22 13:12:18 2026 begin with 95551721 relations and 93249292 unique ideals
  509. Thu Jan 22 13:12:41 2026 reduce to 95142974 relations and 87314898 ideals in 7 passes
  510. Thu Jan 22 13:12:41 2026 max relations containing the same ideal: 46
  511. Thu Jan 22 13:13:09 2026 removing 2026530 relations and 1618527 ideals in 408003 cliques
  512. Thu Jan 22 13:13:11 2026 commencing in-memory singleton removal
  513. Thu Jan 22 13:13:16 2026 begin with 93116444 relations and 87314898 unique ideals
  514. Thu Jan 22 13:13:35 2026 reduce to 93087729 relations and 85667553 ideals in 6 passes
  515. Thu Jan 22 13:13:35 2026 max relations containing the same ideal: 45
  516. Thu Jan 22 13:14:09 2026 relations with 0 large ideals: 445022
  517. Thu Jan 22 13:14:09 2026 relations with 1 large ideals: 621647
  518. Thu Jan 22 13:14:09 2026 relations with 2 large ideals: 3872313
  519. Thu Jan 22 13:14:09 2026 relations with 3 large ideals: 12815993
  520. Thu Jan 22 13:14:09 2026 relations with 4 large ideals: 23287957
  521. Thu Jan 22 13:14:09 2026 relations with 5 large ideals: 24991322
  522. Thu Jan 22 13:14:09 2026 relations with 6 large ideals: 16585941
  523. Thu Jan 22 13:14:09 2026 relations with 7+ large ideals: 10467534
  524. Thu Jan 22 13:14:09 2026 commencing 2-way merge
  525. Thu Jan 22 13:14:49 2026 reduce to 57911099 relation sets and 50490923 unique ideals
  526. Thu Jan 22 13:14:49 2026 commencing full merge
  527. Thu Jan 22 13:27:26 2026 memory use: 6443.0 MB
  528. Thu Jan 22 13:27:30 2026 found 25859995 cycles, need 25175123
  529. Thu Jan 22 13:27:37 2026 weight of 25175123 cycles is about 3398738913 (135.00/cycle)
  530. Thu Jan 22 13:27:37 2026 distribution of cycle lengths:
  531. Thu Jan 22 13:27:37 2026 1 relations: 1480492
  532. Thu Jan 22 13:27:37 2026 2 relations: 1368306
  533. Thu Jan 22 13:27:37 2026 3 relations: 1475005
  534. Thu Jan 22 13:27:37 2026 4 relations: 1509474
  535. Thu Jan 22 13:27:37 2026 5 relations: 1547681
  536. Thu Jan 22 13:27:37 2026 6 relations: 1573758
  537. Thu Jan 22 13:27:37 2026 7 relations: 1585306
  538. Thu Jan 22 13:27:37 2026 8 relations: 1572211
  539. Thu Jan 22 13:27:37 2026 9 relations: 1539882
  540. Thu Jan 22 13:27:37 2026 10+ relations: 11523008
  541. Thu Jan 22 13:27:37 2026 heaviest cycle: 28 relations
  542. Thu Jan 22 13:27:41 2026 commencing cycle optimization
  543. Thu Jan 22 13:28:19 2026 start with 237457818 relations
  544. Thu Jan 22 13:34:32 2026 pruned 11633797 relations
  545. Thu Jan 22 13:34:32 2026 memory use: 6164.4 MB
  546. Thu Jan 22 13:34:32 2026 distribution of cycle lengths:
  547. Thu Jan 22 13:34:32 2026 1 relations: 1480492
  548. Thu Jan 22 13:34:32 2026 2 relations: 1399012
  549. Thu Jan 22 13:34:32 2026 3 relations: 1533109
  550. Thu Jan 22 13:34:32 2026 4 relations: 1573354
  551. Thu Jan 22 13:34:32 2026 5 relations: 1631988
  552. Thu Jan 22 13:34:32 2026 6 relations: 1662047
  553. Thu Jan 22 13:34:32 2026 7 relations: 1687338
  554. Thu Jan 22 13:34:32 2026 8 relations: 1672793
  555. Thu Jan 22 13:34:32 2026 9 relations: 1644201
  556. Thu Jan 22 13:34:32 2026 10+ relations: 10890789
  557. Thu Jan 22 13:34:32 2026 heaviest cycle: 28 relations
  558. Thu Jan 22 13:35:39 2026 RelProcTime: 41257
  559. Thu Jan 22 13:35:39 2026
  560. Thu Jan 22 13:35:39 2026 commencing linear algebra
  561. Thu Jan 22 13:35:39 2026 using VBITS=256
  562. Thu Jan 22 13:35:40 2026 read 25175123 cycles
  563. Thu Jan 22 13:36:14 2026 cycles contain 89465210 unique relations
  564. Thu Jan 22 13:53:17 2026 read 89465210 relations
  565. Thu Jan 22 13:55:43 2026 using 20 quadratic characters above 4294917295
  566. Thu Jan 22 14:00:49 2026 building initial matrix
  567. Thu Jan 22 14:23:31 2026 memory use: 11879.8 MB
  568. Thu Jan 22 14:23:41 2026 read 25175123 cycles
  569. Thu Jan 22 14:23:43 2026 matrix is 25174944 x 25175123 (13183.1 MB) with weight 3747599823 (148.86/col)
  570. Thu Jan 22 14:23:43 2026 sparse part has weight 3178938862 (126.27/col)
  571. Thu Jan 22 14:28:01 2026 filtering completed in 2 passes
  572. Thu Jan 22 14:28:05 2026 matrix is 25172865 x 25173031 (13182.8 MB) with weight 3747496871 (148.87/col)
  573. Thu Jan 22 14:28:05 2026 sparse part has weight 3178883989 (126.28/col)
  574. Thu Jan 22 14:37:40 2026 matrix starts at (0, 0)
  575. Thu Jan 22 14:37:43 2026 matrix is 25172865 x 25173031 (13182.8 MB) with weight 3747496871 (148.87/col)
  576. Thu Jan 22 14:37:43 2026 sparse part has weight 3178883989 (126.28/col)
  577. Thu Jan 22 14:37:43 2026 saving the first 240 matrix rows for later
  578. Thu Jan 22 14:37:46 2026 matrix includes 256 packed rows
  579. Thu Jan 22 14:37:51 2026 matrix is 25172625 x 25173031 (12170.7 MB) with weight 2919986544 (116.00/col)
  580. Thu Jan 22 14:37:51 2026 sparse part has weight 2787706712 (110.74/col)
  581. Sat Jan 24 11:03:20 2026
  582. Sat Jan 24 11:03:20 2026
  583. Sat Jan 24 11:03:20 2026 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  584. Sat Jan 24 11:03:20 2026 random seeds: 88031393 0a9e0e4f
  585. Sat Jan 24 11:03:20 2026 factoring 2524688888581448404091082058004352698771155085886597481124263216953281070548574284583335277989074398578957947412897577879621776139138911754267597693872384748798537921577856611987705843668717863009232844633815641198999729737 (223 digits)
  586. Sat Jan 24 11:03:21 2026 no P-1/P+1/ECM available, skipping
  587. Sat Jan 24 11:03:21 2026 commencing number field sieve (223-digit input)
  588. Sat Jan 24 11:03:21 2026 R0: -721389168583281868779173924837065994765338432601
  589. Sat Jan 24 11:03:21 2026 R1: 1
  590. Sat Jan 24 11:03:21 2026 A0: 1
  591. Sat Jan 24 11:03:21 2026 A1: 0
  592. Sat Jan 24 11:03:21 2026 A2: 6
  593. Sat Jan 24 11:03:21 2026 A3: 0
  594. Sat Jan 24 11:03:21 2026 A4: 5
  595. Sat Jan 24 11:03:21 2026 A5: 0
  596. Sat Jan 24 11:03:21 2026 A6: 1
  597. Sat Jan 24 11:03:21 2026 skew 1.54, size 4.102e-14, alpha 1.743, combined = 1.010e-14 rroots = 0
  598. Sat Jan 24 11:03:21 2026
  599. Sat Jan 24 11:03:21 2026 commencing linear algebra
  600. Sat Jan 24 11:03:21 2026 using VBITS=256
  601. Sat Jan 24 11:03:21 2026 skipping matrix build
  602. Sat Jan 24 11:03:31 2026 matrix starts at (0, 0)
  603. Sat Jan 24 11:03:34 2026 matrix is 25172865 x 25173031 (13182.8 MB) with weight 3747496871 (148.87/col)
  604. Sat Jan 24 11:03:34 2026 sparse part has weight 3178883989 (126.28/col)
  605. Sat Jan 24 11:03:34 2026 saving the first 240 matrix rows for later
  606. Sat Jan 24 11:03:41 2026 matrix includes 256 packed rows
  607. Sat Jan 24 11:03:48 2026 matrix is 25172625 x 25173031 (12170.7 MB) with weight 2919986544 (116.00/col)
  608. Sat Jan 24 11:03:48 2026 sparse part has weight 2787706712 (110.74/col)
  609. Sat Jan 24 11:03:48 2026 using GPU 1 (NVIDIA L40S)
  610. Sat Jan 24 11:03:48 2026 selected card has CUDA arch 8.9
  611. Nonzeros per block: 1750000000
  612. converting matrix to CSR and copying it onto the GPU
  613. 1750000025 25172625 15978021
  614. 1037706687 25172625 9195010
  615. 1625591384 25173031 1043040
  616. 1162115328 25173031 24129585
  617. Sat Jan 24 11:08:09 2026 commencing Lanczos iteration
  618. vector memory use: 5377.5 MB
  619. dense rows memory use: 768.2 MB
  620. sparse matrix memory use: 21652.6 MB
  621. memory use: 27798.4 MB
  622. Allocated 1275.3 MB for SpMV library
  623. Sat Jan 24 11:09:33 2026 linear algebra at 0.1%, ETA 18h27m
  624. Sat Jan 24 11:11:34 2026 checking every 10000 dimensions, checkpointing every 690000 dimensions
  625. Sun Jan 25 05:35:58 2026 lanczos halted after 98627 iterations (dim = 25172623)
  626. Sun Jan 25 05:37:27 2026 recovered 40 nontrivial dependencies
  627. Sun Jan 25 05:37:28 2026 BLanczosTime: 66847
  628. Sun Jan 25 05:37:28 2026
  629. Sun Jan 25 05:37:28 2026 commencing square root phase
  630. Sun Jan 25 05:37:28 2026 handling dependencies 1 to 64
  631. Sun Jan 25 05:37:28 2026 reading relations for dependency 1
  632. Sun Jan 25 05:37:32 2026 read 12584048 cycles
  633. Sun Jan 25 05:37:57 2026 cycles contain 44736630 unique relations
  634. Sun Jan 25 05:59:35 2026 read 44736630 relations
  635. Sun Jan 25 06:02:37 2026 multiplying 44736630 relations
  636. Sun Jan 25 06:37:38 2026 multiply complete, coefficients have about 1246.56 million bits
  637. Sun Jan 25 06:37:42 2026 initial square root is modulo 390647
  638. Sun Jan 25 07:06:43 2026 sqrtTime: 5355
  639. Sun Jan 25 07:06:43 2026 p83 factor: 76173584154225319743118295547178141054952660014075078291549823810819874114127739429
  640. Sun Jan 25 07:06:43 2026 p140 factor: 33143889927377204445449420870637563797323705823988255001352186995684192513443090191683342864545183879744687036919406288779317195311282260053
  641. Sun Jan 25 07:06:43 2026 elapsed time 20:03:23
  642.  
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