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Mar 27th, 2026
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  1. Thu Mar 26 14:36:21 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Thu Mar 26 14:36:21 2026 random seeds: 18ff3d0e 1cf16562
  3. Thu Mar 26 14:36:21 2026 Using 32 OpenMP threads
  4. Thu Mar 26 14:36:21 2026 factoring 3296778739484071190846765790676634281700501772376285000114985362200316352409866185814636115842312998410736907904238583702152897186593369069394948696301505122426719999435480352169796168207689081611063731454501 (208 digits)
  5. Thu Mar 26 14:36:21 2026 no P-1/P+1/ECM available, skipping
  6. Thu Mar 26 14:36:21 2026 commencing number field sieve (208-digit input)
  7. Thu Mar 26 14:36:21 2026 R0: 49221735352184872959961855190338177606846542622561400857262407
  8. Thu Mar 26 14:36:21 2026 R1: -67585198634817523235520443624317923
  9. Thu Mar 26 14:36:21 2026 A0: 1
  10. Thu Mar 26 14:36:21 2026 A1: 1
  11. Thu Mar 26 14:36:21 2026 A2: 1
  12. Thu Mar 26 14:36:21 2026 A3: 1
  13. Thu Mar 26 14:36:21 2026 A4: 1
  14. Thu Mar 26 14:36:21 2026 skew 2.01, size 4.307e-25, alpha 1.694, combined = 6.066e-15 rroots = 0
  15. Thu Mar 26 14:36:21 2026
  16. Thu Mar 26 14:36:21 2026 commencing relation filtering
  17. Thu Mar 26 14:36:21 2026 setting target matrix density to 110.0
  18. Thu Mar 26 14:36:21 2026 estimated available RAM is 128740.1 MB
  19. Thu Mar 26 14:36:21 2026 commencing duplicate removal, pass 1
  20. Thu Mar 26 14:46:46 2026 found 51851404 hash collisions in 979572501 relations
  21. Thu Mar 26 14:46:50 2026 added 3657741 free relations
  22. Thu Mar 26 14:46:50 2026 commencing duplicate removal, pass 2
  23. Thu Mar 26 14:50:10 2026 found 0 duplicates and 983230242 unique relations
  24. Thu Mar 26 14:50:10 2026 memory use: 3155.0 MB
  25. Thu Mar 26 14:50:10 2026 reading ideals above 428277760
  26. Thu Mar 26 14:50:10 2026 commencing singleton removal, initial pass
  27. Thu Mar 26 15:08:31 2026 memory use: 21024.0 MB
  28. Thu Mar 26 15:08:32 2026 reading all ideals from disk
  29. Thu Mar 26 15:08:42 2026 memory use: 25415.1 MB
  30. Thu Mar 26 15:09:05 2026 commencing in-memory singleton removal
  31. Thu Mar 26 15:09:13 2026 begin with 983230242 relations and 739592388 unique ideals
  32. Thu Mar 26 15:10:00 2026 reduce to 712466810 relations and 449406251 ideals in 13 passes
  33. Thu Mar 26 15:10:00 2026 max relations containing the same ideal: 43
  34. Thu Mar 26 15:10:11 2026 reading ideals above 720000
  35. Thu Mar 26 15:10:13 2026 commencing singleton removal, initial pass
  36. Thu Mar 26 15:35:09 2026 memory use: 11024.0 MB
  37. Thu Mar 26 15:35:10 2026 reading all ideals from disk
  38. Thu Mar 26 15:35:28 2026 memory use: 36374.2 MB
  39. Thu Mar 26 15:36:06 2026 keeping 491273192 ideals with weight <= 200, target excess is 3655506
  40. Thu Mar 26 15:36:53 2026 commencing in-memory singleton removal
  41. Thu Mar 26 15:37:05 2026 begin with 712466810 relations and 491273192 unique ideals
  42. Thu Mar 26 15:37:30 2026 reduce to 712466048 relations and 491272430 ideals in 4 passes
  43. Thu Mar 26 15:37:30 2026 max relations containing the same ideal: 200
  44. Thu Mar 26 15:39:25 2026 removing 11219251 relations and 9219251 ideals in 2000000 cliques
  45. Thu Mar 26 15:39:34 2026 commencing in-memory singleton removal
  46. Thu Mar 26 15:39:46 2026 begin with 701246797 relations and 491272430 unique ideals
  47. Thu Mar 26 15:40:21 2026 reduce to 701117055 relations and 481922890 ideals in 6 passes
  48. Thu Mar 26 15:40:21 2026 max relations containing the same ideal: 200
  49. Thu Mar 26 15:42:07 2026 removing 8729546 relations and 6729546 ideals in 2000000 cliques
  50. Thu Mar 26 15:42:15 2026 commencing in-memory singleton removal
  51. Thu Mar 26 15:42:27 2026 begin with 692387509 relations and 481922890 unique ideals
  52. Thu Mar 26 15:43:07 2026 reduce to 692298230 relations and 475103743 ideals in 7 passes
  53. Thu Mar 26 15:43:07 2026 max relations containing the same ideal: 200
  54. Thu Mar 26 15:44:51 2026 removing 7915447 relations and 5915447 ideals in 2000000 cliques
  55. Thu Mar 26 15:44:59 2026 commencing in-memory singleton removal
  56. Thu Mar 26 15:45:10 2026 begin with 684382783 relations and 475103743 unique ideals
  57. Thu Mar 26 15:45:44 2026 reduce to 684305138 relations and 469110327 ideals in 6 passes
  58. Thu Mar 26 15:45:44 2026 max relations containing the same ideal: 200
  59. Thu Mar 26 15:47:26 2026 removing 7440919 relations and 5440919 ideals in 2000000 cliques
  60. Thu Mar 26 15:47:34 2026 commencing in-memory singleton removal
  61. Thu Mar 26 15:47:45 2026 begin with 676864219 relations and 469110327 unique ideals
  62. Thu Mar 26 15:48:19 2026 reduce to 676792732 relations and 463597683 ideals in 6 passes
  63. Thu Mar 26 15:48:19 2026 max relations containing the same ideal: 200
  64. Thu Mar 26 15:50:00 2026 removing 7117957 relations and 5117957 ideals in 2000000 cliques
  65. Thu Mar 26 15:50:07 2026 commencing in-memory singleton removal
  66. Thu Mar 26 15:50:18 2026 begin with 669674775 relations and 463597683 unique ideals
  67. Thu Mar 26 15:50:47 2026 reduce to 669608467 relations and 458413177 ideals in 5 passes
  68. Thu Mar 26 15:50:47 2026 max relations containing the same ideal: 199
  69. Thu Mar 26 15:52:26 2026 removing 6880508 relations and 4880508 ideals in 2000000 cliques
  70. Thu Mar 26 15:52:34 2026 commencing in-memory singleton removal
  71. Thu Mar 26 15:52:44 2026 begin with 662727959 relations and 458413177 unique ideals
  72. Thu Mar 26 15:53:18 2026 reduce to 662665574 relations and 453470068 ideals in 6 passes
  73. Thu Mar 26 15:53:18 2026 max relations containing the same ideal: 199
  74. Thu Mar 26 15:54:57 2026 removing 6698554 relations and 4698554 ideals in 2000000 cliques
  75. Thu Mar 26 15:55:04 2026 commencing in-memory singleton removal
  76. Thu Mar 26 15:55:15 2026 begin with 655967020 relations and 453470068 unique ideals
  77. Thu Mar 26 15:55:48 2026 reduce to 655906792 relations and 448711054 ideals in 6 passes
  78. Thu Mar 26 15:55:48 2026 max relations containing the same ideal: 198
  79. Thu Mar 26 15:57:26 2026 removing 6550965 relations and 4550965 ideals in 2000000 cliques
  80. Thu Mar 26 15:57:33 2026 commencing in-memory singleton removal
  81. Thu Mar 26 15:57:44 2026 begin with 649355827 relations and 448711054 unique ideals
  82. Thu Mar 26 15:58:22 2026 reduce to 649297716 relations and 444101750 ideals in 7 passes
  83. Thu Mar 26 15:58:22 2026 max relations containing the same ideal: 196
  84. Thu Mar 26 15:59:58 2026 removing 6432605 relations and 4432605 ideals in 2000000 cliques
  85. Thu Mar 26 16:00:05 2026 commencing in-memory singleton removal
  86. Thu Mar 26 16:00:16 2026 begin with 642865111 relations and 444101750 unique ideals
  87. Thu Mar 26 16:00:43 2026 reduce to 642808225 relations and 439612052 ideals in 5 passes
  88. Thu Mar 26 16:00:43 2026 max relations containing the same ideal: 196
  89. Thu Mar 26 16:02:20 2026 removing 6324207 relations and 4324207 ideals in 2000000 cliques
  90. Thu Mar 26 16:02:27 2026 commencing in-memory singleton removal
  91. Thu Mar 26 16:02:37 2026 begin with 636484018 relations and 439612052 unique ideals
  92. Thu Mar 26 16:03:09 2026 reduce to 636428158 relations and 435231795 ideals in 6 passes
  93. Thu Mar 26 16:03:09 2026 max relations containing the same ideal: 195
  94. Thu Mar 26 16:04:45 2026 removing 6241237 relations and 4241237 ideals in 2000000 cliques
  95. Thu Mar 26 16:04:52 2026 commencing in-memory singleton removal
  96. Thu Mar 26 16:05:03 2026 begin with 630186921 relations and 435231795 unique ideals
  97. Thu Mar 26 16:05:34 2026 reduce to 630132367 relations and 430935757 ideals in 6 passes
  98. Thu Mar 26 16:05:34 2026 max relations containing the same ideal: 194
  99. Thu Mar 26 16:07:08 2026 removing 6163120 relations and 4163120 ideals in 2000000 cliques
  100. Thu Mar 26 16:07:15 2026 commencing in-memory singleton removal
  101. Thu Mar 26 16:07:26 2026 begin with 623969247 relations and 430935757 unique ideals
  102. Thu Mar 26 16:07:52 2026 reduce to 623915632 relations and 426718765 ideals in 5 passes
  103. Thu Mar 26 16:07:52 2026 max relations containing the same ideal: 194
  104. Thu Mar 26 16:09:26 2026 removing 6095058 relations and 4095058 ideals in 2000000 cliques
  105. Thu Mar 26 16:09:33 2026 commencing in-memory singleton removal
  106. Thu Mar 26 16:09:43 2026 begin with 617820574 relations and 426718765 unique ideals
  107. Thu Mar 26 16:10:14 2026 reduce to 617767334 relations and 422570248 ideals in 6 passes
  108. Thu Mar 26 16:10:14 2026 max relations containing the same ideal: 192
  109. Thu Mar 26 16:11:46 2026 removing 6035980 relations and 4035980 ideals in 2000000 cliques
  110. Thu Mar 26 16:11:53 2026 commencing in-memory singleton removal
  111. Thu Mar 26 16:12:03 2026 begin with 611731354 relations and 422570248 unique ideals
  112. Thu Mar 26 16:12:29 2026 reduce to 611678466 relations and 418481134 ideals in 5 passes
  113. Thu Mar 26 16:12:29 2026 max relations containing the same ideal: 192
  114. Thu Mar 26 16:14:02 2026 removing 5981104 relations and 3981104 ideals in 2000000 cliques
  115. Thu Mar 26 16:14:08 2026 commencing in-memory singleton removal
  116. Thu Mar 26 16:14:18 2026 begin with 605697362 relations and 418481134 unique ideals
  117. Thu Mar 26 16:14:44 2026 reduce to 605644882 relations and 414447321 ideals in 5 passes
  118. Thu Mar 26 16:14:44 2026 max relations containing the same ideal: 191
  119. Thu Mar 26 16:16:15 2026 removing 5930640 relations and 3930640 ideals in 2000000 cliques
  120. Thu Mar 26 16:16:21 2026 commencing in-memory singleton removal
  121. Thu Mar 26 16:16:31 2026 begin with 599714242 relations and 414447321 unique ideals
  122. Thu Mar 26 16:16:57 2026 reduce to 599661950 relations and 410464066 ideals in 5 passes
  123. Thu Mar 26 16:16:57 2026 max relations containing the same ideal: 190
  124. Thu Mar 26 16:18:27 2026 removing 5890756 relations and 3890756 ideals in 2000000 cliques
  125. Thu Mar 26 16:18:33 2026 commencing in-memory singleton removal
  126. Thu Mar 26 16:18:43 2026 begin with 593771194 relations and 410464066 unique ideals
  127. Thu Mar 26 16:19:08 2026 reduce to 593719004 relations and 406520870 ideals in 5 passes
  128. Thu Mar 26 16:19:08 2026 max relations containing the same ideal: 190
  129. Thu Mar 26 16:20:38 2026 removing 5851846 relations and 3851846 ideals in 2000000 cliques
  130. Thu Mar 26 16:20:44 2026 commencing in-memory singleton removal
  131. Thu Mar 26 16:20:54 2026 begin with 587867158 relations and 406520870 unique ideals
  132. Thu Mar 26 16:21:19 2026 reduce to 587815881 relations and 402617439 ideals in 5 passes
  133. Thu Mar 26 16:21:19 2026 max relations containing the same ideal: 190
  134. Thu Mar 26 16:22:47 2026 removing 5815385 relations and 3815385 ideals in 2000000 cliques
  135. Thu Mar 26 16:22:54 2026 commencing in-memory singleton removal
  136. Thu Mar 26 16:23:03 2026 begin with 582000496 relations and 402617439 unique ideals
  137. Thu Mar 26 16:23:28 2026 reduce to 581949547 relations and 398750772 ideals in 5 passes
  138. Thu Mar 26 16:23:28 2026 max relations containing the same ideal: 190
  139. Thu Mar 26 16:24:55 2026 removing 5781325 relations and 3781325 ideals in 2000000 cliques
  140. Thu Mar 26 16:25:02 2026 commencing in-memory singleton removal
  141. Thu Mar 26 16:25:11 2026 begin with 576168222 relations and 398750772 unique ideals
  142. Thu Mar 26 16:25:40 2026 reduce to 576116379 relations and 394917305 ideals in 6 passes
  143. Thu Mar 26 16:25:40 2026 max relations containing the same ideal: 188
  144. Thu Mar 26 16:27:07 2026 removing 5747620 relations and 3747620 ideals in 2000000 cliques
  145. Thu Mar 26 16:27:14 2026 commencing in-memory singleton removal
  146. Thu Mar 26 16:27:23 2026 begin with 570368759 relations and 394917305 unique ideals
  147. Thu Mar 26 16:27:47 2026 reduce to 570317152 relations and 391117763 ideals in 5 passes
  148. Thu Mar 26 16:27:47 2026 max relations containing the same ideal: 185
  149. Thu Mar 26 16:29:13 2026 removing 5722388 relations and 3722388 ideals in 2000000 cliques
  150. Thu Mar 26 16:29:19 2026 commencing in-memory singleton removal
  151. Thu Mar 26 16:29:28 2026 begin with 564594764 relations and 391117763 unique ideals
  152. Thu Mar 26 16:29:57 2026 reduce to 564543053 relations and 387343345 ideals in 6 passes
  153. Thu Mar 26 16:29:57 2026 max relations containing the same ideal: 184
  154. Thu Mar 26 16:31:22 2026 removing 5693472 relations and 3693472 ideals in 2000000 cliques
  155. Thu Mar 26 16:31:29 2026 commencing in-memory singleton removal
  156. Thu Mar 26 16:31:38 2026 begin with 558849581 relations and 387343345 unique ideals
  157. Thu Mar 26 16:32:06 2026 reduce to 558797104 relations and 383597062 ideals in 6 passes
  158. Thu Mar 26 16:32:06 2026 max relations containing the same ideal: 182
  159. Thu Mar 26 16:33:30 2026 removing 5668367 relations and 3668367 ideals in 2000000 cliques
  160. Thu Mar 26 16:33:36 2026 commencing in-memory singleton removal
  161. Thu Mar 26 16:33:45 2026 begin with 553128737 relations and 383597062 unique ideals
  162. Thu Mar 26 16:34:13 2026 reduce to 553076667 relations and 379876262 ideals in 6 passes
  163. Thu Mar 26 16:34:13 2026 max relations containing the same ideal: 180
  164. Thu Mar 26 16:35:36 2026 removing 5648223 relations and 3648223 ideals in 2000000 cliques
  165. Thu Mar 26 16:35:42 2026 commencing in-memory singleton removal
  166. Thu Mar 26 16:35:51 2026 begin with 547428444 relations and 379876262 unique ideals
  167. Thu Mar 26 16:36:15 2026 reduce to 547376362 relations and 376175613 ideals in 5 passes
  168. Thu Mar 26 16:36:15 2026 max relations containing the same ideal: 179
  169. Thu Mar 26 16:37:37 2026 removing 5624523 relations and 3624523 ideals in 2000000 cliques
  170. Thu Mar 26 16:37:43 2026 commencing in-memory singleton removal
  171. Thu Mar 26 16:37:52 2026 begin with 541751839 relations and 376175613 unique ideals
  172. Thu Mar 26 16:38:15 2026 reduce to 541698927 relations and 372497811 ideals in 5 passes
  173. Thu Mar 26 16:38:15 2026 max relations containing the same ideal: 179
  174. Thu Mar 26 16:39:38 2026 removing 5603515 relations and 3603515 ideals in 2000000 cliques
  175. Thu Mar 26 16:39:44 2026 commencing in-memory singleton removal
  176. Thu Mar 26 16:39:53 2026 begin with 536095412 relations and 372497811 unique ideals
  177. Thu Mar 26 16:40:16 2026 reduce to 536042254 relations and 368840756 ideals in 5 passes
  178. Thu Mar 26 16:40:16 2026 max relations containing the same ideal: 178
  179. Thu Mar 26 16:41:37 2026 removing 5586799 relations and 3586799 ideals in 2000000 cliques
  180. Thu Mar 26 16:41:43 2026 commencing in-memory singleton removal
  181. Thu Mar 26 16:41:52 2026 begin with 530455455 relations and 368840756 unique ideals
  182. Thu Mar 26 16:42:14 2026 reduce to 530402799 relations and 365200899 ideals in 5 passes
  183. Thu Mar 26 16:42:14 2026 max relations containing the same ideal: 176
  184. Thu Mar 26 16:43:36 2026 removing 5564926 relations and 3564926 ideals in 2000000 cliques
  185. Thu Mar 26 16:43:42 2026 commencing in-memory singleton removal
  186. Thu Mar 26 16:43:50 2026 begin with 524837873 relations and 365200899 unique ideals
  187. Thu Mar 26 16:44:16 2026 reduce to 524784691 relations and 361582389 ideals in 6 passes
  188. Thu Mar 26 16:44:16 2026 max relations containing the same ideal: 174
  189. Thu Mar 26 16:45:37 2026 removing 5550397 relations and 3550397 ideals in 2000000 cliques
  190. Thu Mar 26 16:45:43 2026 commencing in-memory singleton removal
  191. Thu Mar 26 16:45:51 2026 begin with 519234294 relations and 361582389 unique ideals
  192. Thu Mar 26 16:46:13 2026 reduce to 519181069 relations and 357978356 ideals in 5 passes
  193. Thu Mar 26 16:46:13 2026 max relations containing the same ideal: 173
  194. Thu Mar 26 16:47:33 2026 removing 5532677 relations and 3532677 ideals in 2000000 cliques
  195. Thu Mar 26 16:47:38 2026 commencing in-memory singleton removal
  196. Thu Mar 26 16:47:47 2026 begin with 513648392 relations and 357978356 unique ideals
  197. Thu Mar 26 16:48:08 2026 reduce to 513594922 relations and 354391760 ideals in 5 passes
  198. Thu Mar 26 16:48:08 2026 max relations containing the same ideal: 172
  199. Thu Mar 26 16:49:28 2026 removing 5521665 relations and 3521665 ideals in 2000000 cliques
  200. Thu Mar 26 16:49:34 2026 commencing in-memory singleton removal
  201. Thu Mar 26 16:49:42 2026 begin with 508073257 relations and 354391760 unique ideals
  202. Thu Mar 26 16:50:07 2026 reduce to 508019090 relations and 350815470 ideals in 6 passes
  203. Thu Mar 26 16:50:07 2026 max relations containing the same ideal: 172
  204. Thu Mar 26 16:51:26 2026 removing 5503254 relations and 3503254 ideals in 2000000 cliques
  205. Thu Mar 26 16:51:31 2026 commencing in-memory singleton removal
  206. Thu Mar 26 16:51:40 2026 begin with 502515836 relations and 350815470 unique ideals
  207. Thu Mar 26 16:52:01 2026 reduce to 502461581 relations and 347257489 ideals in 5 passes
  208. Thu Mar 26 16:52:01 2026 max relations containing the same ideal: 171
  209. Thu Mar 26 16:53:18 2026 removing 5492324 relations and 3492324 ideals in 2000000 cliques
  210. Thu Mar 26 16:53:23 2026 commencing in-memory singleton removal
  211. Thu Mar 26 16:53:32 2026 begin with 496969257 relations and 347257489 unique ideals
  212. Thu Mar 26 16:53:56 2026 reduce to 496914637 relations and 343710075 ideals in 6 passes
  213. Thu Mar 26 16:53:56 2026 max relations containing the same ideal: 169
  214. Thu Mar 26 16:55:13 2026 removing 5479953 relations and 3479953 ideals in 2000000 cliques
  215. Thu Mar 26 16:55:19 2026 commencing in-memory singleton removal
  216. Thu Mar 26 16:55:27 2026 begin with 491434684 relations and 343710075 unique ideals
  217. Thu Mar 26 16:55:48 2026 reduce to 491379708 relations and 340174681 ideals in 5 passes
  218. Thu Mar 26 16:55:48 2026 max relations containing the same ideal: 169
  219. Thu Mar 26 16:57:03 2026 removing 5467991 relations and 3467991 ideals in 2000000 cliques
  220. Thu Mar 26 16:57:09 2026 commencing in-memory singleton removal
  221. Thu Mar 26 16:57:16 2026 begin with 485911717 relations and 340174681 unique ideals
  222. Thu Mar 26 16:57:41 2026 reduce to 485856151 relations and 336650617 ideals in 6 passes
  223. Thu Mar 26 16:57:41 2026 max relations containing the same ideal: 168
  224. Thu Mar 26 16:58:56 2026 removing 5453767 relations and 3453767 ideals in 2000000 cliques
  225. Thu Mar 26 16:59:01 2026 commencing in-memory singleton removal
  226. Thu Mar 26 16:59:09 2026 begin with 480402384 relations and 336650617 unique ideals
  227. Thu Mar 26 16:59:29 2026 reduce to 480346218 relations and 333140155 ideals in 5 passes
  228. Thu Mar 26 16:59:29 2026 max relations containing the same ideal: 167
  229. Thu Mar 26 17:00:43 2026 removing 5446262 relations and 3446262 ideals in 2000000 cliques
  230. Thu Mar 26 17:00:49 2026 commencing in-memory singleton removal
  231. Thu Mar 26 17:00:56 2026 begin with 474899956 relations and 333140155 unique ideals
  232. Thu Mar 26 17:01:16 2026 reduce to 474843451 relations and 329636875 ideals in 5 passes
  233. Thu Mar 26 17:01:16 2026 max relations containing the same ideal: 167
  234. Thu Mar 26 17:02:29 2026 removing 5438093 relations and 3438093 ideals in 2000000 cliques
  235. Thu Mar 26 17:02:35 2026 commencing in-memory singleton removal
  236. Thu Mar 26 17:02:42 2026 begin with 469405358 relations and 329636875 unique ideals
  237. Thu Mar 26 17:03:06 2026 reduce to 469348049 relations and 326140973 ideals in 6 passes
  238. Thu Mar 26 17:03:06 2026 max relations containing the same ideal: 165
  239. Thu Mar 26 17:04:18 2026 removing 5424965 relations and 3424965 ideals in 2000000 cliques
  240. Thu Mar 26 17:04:23 2026 commencing in-memory singleton removal
  241. Thu Mar 26 17:04:31 2026 begin with 463923084 relations and 326140973 unique ideals
  242. Thu Mar 26 17:04:50 2026 reduce to 463865245 relations and 322657585 ideals in 5 passes
  243. Thu Mar 26 17:04:50 2026 max relations containing the same ideal: 163
  244. Thu Mar 26 17:06:02 2026 removing 5420070 relations and 3420070 ideals in 2000000 cliques
  245. Thu Mar 26 17:06:07 2026 commencing in-memory singleton removal
  246. Thu Mar 26 17:06:14 2026 begin with 458445175 relations and 322657585 unique ideals
  247. Thu Mar 26 17:06:34 2026 reduce to 458386964 relations and 319178696 ideals in 5 passes
  248. Thu Mar 26 17:06:34 2026 max relations containing the same ideal: 163
  249. Thu Mar 26 17:07:45 2026 removing 5411040 relations and 3411040 ideals in 2000000 cliques
  250. Thu Mar 26 17:07:50 2026 commencing in-memory singleton removal
  251. Thu Mar 26 17:07:57 2026 begin with 452975924 relations and 319178696 unique ideals
  252. Thu Mar 26 17:08:17 2026 reduce to 452917028 relations and 315708145 ideals in 5 passes
  253. Thu Mar 26 17:08:17 2026 max relations containing the same ideal: 163
  254. Thu Mar 26 17:09:26 2026 removing 5403783 relations and 3403783 ideals in 2000000 cliques
  255. Thu Mar 26 17:09:32 2026 commencing in-memory singleton removal
  256. Thu Mar 26 17:09:39 2026 begin with 447513245 relations and 315708145 unique ideals
  257. Thu Mar 26 17:10:05 2026 reduce to 447454459 relations and 312244928 ideals in 7 passes
  258. Thu Mar 26 17:10:05 2026 max relations containing the same ideal: 161
  259. Thu Mar 26 17:11:14 2026 removing 5398122 relations and 3398122 ideals in 2000000 cliques
  260. Thu Mar 26 17:11:19 2026 commencing in-memory singleton removal
  261. Thu Mar 26 17:11:26 2026 begin with 442056337 relations and 312244928 unique ideals
  262. Thu Mar 26 17:11:48 2026 reduce to 441996920 relations and 308786750 ideals in 6 passes
  263. Thu Mar 26 17:11:48 2026 max relations containing the same ideal: 160
  264. Thu Mar 26 17:12:57 2026 removing 5389849 relations and 3389849 ideals in 2000000 cliques
  265. Thu Mar 26 17:13:02 2026 commencing in-memory singleton removal
  266. Thu Mar 26 17:13:09 2026 begin with 436607071 relations and 308786750 unique ideals
  267. Thu Mar 26 17:13:27 2026 reduce to 436547121 relations and 305336333 ideals in 5 passes
  268. Thu Mar 26 17:13:27 2026 max relations containing the same ideal: 158
  269. Thu Mar 26 17:14:35 2026 removing 5384262 relations and 3384262 ideals in 2000000 cliques
  270. Thu Mar 26 17:14:40 2026 commencing in-memory singleton removal
  271. Thu Mar 26 17:14:47 2026 begin with 431162859 relations and 305336333 unique ideals
  272. Thu Mar 26 17:15:05 2026 reduce to 431102242 relations and 301890810 ideals in 5 passes
  273. Thu Mar 26 17:15:05 2026 max relations containing the same ideal: 156
  274. Thu Mar 26 17:16:12 2026 removing 5377807 relations and 3377807 ideals in 2000000 cliques
  275. Thu Mar 26 17:16:17 2026 commencing in-memory singleton removal
  276. Thu Mar 26 17:16:23 2026 begin with 425724435 relations and 301890810 unique ideals
  277. Thu Mar 26 17:16:41 2026 reduce to 425663187 relations and 298451112 ideals in 5 passes
  278. Thu Mar 26 17:16:41 2026 max relations containing the same ideal: 155
  279. Thu Mar 26 17:17:47 2026 removing 5375162 relations and 3375162 ideals in 2000000 cliques
  280. Thu Mar 26 17:17:52 2026 commencing in-memory singleton removal
  281. Thu Mar 26 17:17:59 2026 begin with 420288025 relations and 298451112 unique ideals
  282. Thu Mar 26 17:18:17 2026 reduce to 420226464 relations and 295013701 ideals in 5 passes
  283. Thu Mar 26 17:18:17 2026 max relations containing the same ideal: 155
  284. Thu Mar 26 17:19:22 2026 removing 5370029 relations and 3370029 ideals in 2000000 cliques
  285. Thu Mar 26 17:19:27 2026 commencing in-memory singleton removal
  286. Thu Mar 26 17:19:33 2026 begin with 414856435 relations and 295013701 unique ideals
  287. Thu Mar 26 17:19:51 2026 reduce to 414793839 relations and 291580397 ideals in 5 passes
  288. Thu Mar 26 17:19:51 2026 max relations containing the same ideal: 152
  289. Thu Mar 26 17:20:55 2026 removing 5366408 relations and 3366408 ideals in 2000000 cliques
  290. Thu Mar 26 17:21:00 2026 commencing in-memory singleton removal
  291. Thu Mar 26 17:21:07 2026 begin with 409427431 relations and 291580397 unique ideals
  292. Thu Mar 26 17:21:24 2026 reduce to 409364127 relations and 288149963 ideals in 5 passes
  293. Thu Mar 26 17:21:24 2026 max relations containing the same ideal: 151
  294. Thu Mar 26 17:22:27 2026 removing 5361901 relations and 3361901 ideals in 2000000 cliques
  295. Thu Mar 26 17:22:32 2026 commencing in-memory singleton removal
  296. Thu Mar 26 17:22:38 2026 begin with 404002226 relations and 288149963 unique ideals
  297. Thu Mar 26 17:22:58 2026 reduce to 403938517 relations and 284723576 ideals in 6 passes
  298. Thu Mar 26 17:22:58 2026 max relations containing the same ideal: 150
  299. Thu Mar 26 17:24:01 2026 removing 5359904 relations and 3359904 ideals in 2000000 cliques
  300. Thu Mar 26 17:24:06 2026 commencing in-memory singleton removal
  301. Thu Mar 26 17:24:12 2026 begin with 398578613 relations and 284723576 unique ideals
  302. Thu Mar 26 17:24:29 2026 reduce to 398514009 relations and 281298308 ideals in 5 passes
  303. Thu Mar 26 17:24:29 2026 max relations containing the same ideal: 149
  304. Thu Mar 26 17:25:31 2026 removing 5358424 relations and 3358424 ideals in 2000000 cliques
  305. Thu Mar 26 17:25:35 2026 commencing in-memory singleton removal
  306. Thu Mar 26 17:25:42 2026 begin with 393155585 relations and 281298308 unique ideals
  307. Thu Mar 26 17:25:58 2026 reduce to 393089873 relations and 277873393 ideals in 5 passes
  308. Thu Mar 26 17:25:58 2026 max relations containing the same ideal: 147
  309. Thu Mar 26 17:27:00 2026 removing 5355682 relations and 3355682 ideals in 2000000 cliques
  310. Thu Mar 26 17:27:05 2026 commencing in-memory singleton removal
  311. Thu Mar 26 17:27:11 2026 begin with 387734191 relations and 277873393 unique ideals
  312. Thu Mar 26 17:27:30 2026 reduce to 387668069 relations and 274450795 ideals in 6 passes
  313. Thu Mar 26 17:27:30 2026 max relations containing the same ideal: 145
  314. Thu Mar 26 17:28:31 2026 removing 5353908 relations and 3353908 ideals in 2000000 cliques
  315. Thu Mar 26 17:28:36 2026 commencing in-memory singleton removal
  316. Thu Mar 26 17:28:42 2026 begin with 382314161 relations and 274450795 unique ideals
  317. Thu Mar 26 17:28:58 2026 reduce to 382247019 relations and 271028870 ideals in 5 passes
  318. Thu Mar 26 17:28:58 2026 max relations containing the same ideal: 143
  319. Thu Mar 26 17:29:57 2026 removing 5351514 relations and 3351514 ideals in 2000000 cliques
  320. Thu Mar 26 17:30:02 2026 commencing in-memory singleton removal
  321. Thu Mar 26 17:30:08 2026 begin with 376895505 relations and 271028870 unique ideals
  322. Thu Mar 26 17:30:24 2026 reduce to 376827443 relations and 267608428 ideals in 5 passes
  323. Thu Mar 26 17:30:24 2026 max relations containing the same ideal: 139
  324. Thu Mar 26 17:31:23 2026 removing 5353220 relations and 3353220 ideals in 2000000 cliques
  325. Thu Mar 26 17:31:27 2026 commencing in-memory singleton removal
  326. Thu Mar 26 17:31:33 2026 begin with 371474223 relations and 267608428 unique ideals
  327. Thu Mar 26 17:31:49 2026 reduce to 371406093 relations and 264186211 ideals in 5 passes
  328. Thu Mar 26 17:31:49 2026 max relations containing the same ideal: 139
  329. Thu Mar 26 17:32:47 2026 removing 5352292 relations and 3352292 ideals in 2000000 cliques
  330. Thu Mar 26 17:32:51 2026 commencing in-memory singleton removal
  331. Thu Mar 26 17:32:57 2026 begin with 366053801 relations and 264186211 unique ideals
  332. Thu Mar 26 17:33:13 2026 reduce to 365984650 relations and 260763911 ideals in 5 passes
  333. Thu Mar 26 17:33:13 2026 max relations containing the same ideal: 137
  334. Thu Mar 26 17:34:10 2026 removing 5352149 relations and 3352149 ideals in 2000000 cliques
  335. Thu Mar 26 17:34:14 2026 commencing in-memory singleton removal
  336. Thu Mar 26 17:34:20 2026 begin with 360632501 relations and 260763911 unique ideals
  337. Thu Mar 26 17:34:38 2026 reduce to 360562439 relations and 257340843 ideals in 6 passes
  338. Thu Mar 26 17:34:38 2026 max relations containing the same ideal: 136
  339. Thu Mar 26 17:35:34 2026 removing 5352730 relations and 3352730 ideals in 2000000 cliques
  340. Thu Mar 26 17:35:38 2026 commencing in-memory singleton removal
  341. Thu Mar 26 17:35:44 2026 begin with 355209709 relations and 257340843 unique ideals
  342. Thu Mar 26 17:36:02 2026 reduce to 355138576 relations and 253916068 ideals in 6 passes
  343. Thu Mar 26 17:36:02 2026 max relations containing the same ideal: 135
  344. Thu Mar 26 17:36:58 2026 removing 5355198 relations and 3355198 ideals in 2000000 cliques
  345. Thu Mar 26 17:37:02 2026 commencing in-memory singleton removal
  346. Thu Mar 26 17:37:07 2026 begin with 349783378 relations and 253916068 unique ideals
  347. Thu Mar 26 17:37:22 2026 reduce to 349710606 relations and 250487151 ideals in 5 passes
  348. Thu Mar 26 17:37:22 2026 max relations containing the same ideal: 133
  349. Thu Mar 26 17:38:17 2026 removing 5355977 relations and 3355977 ideals in 2000000 cliques
  350. Thu Mar 26 17:38:21 2026 commencing in-memory singleton removal
  351. Thu Mar 26 17:38:27 2026 begin with 344354629 relations and 250487151 unique ideals
  352. Thu Mar 26 17:38:44 2026 reduce to 344281281 relations and 247056871 ideals in 6 passes
  353. Thu Mar 26 17:38:44 2026 max relations containing the same ideal: 133
  354. Thu Mar 26 17:39:38 2026 removing 5358987 relations and 3358987 ideals in 2000000 cliques
  355. Thu Mar 26 17:39:43 2026 commencing in-memory singleton removal
  356. Thu Mar 26 17:39:49 2026 begin with 338922294 relations and 247056871 unique ideals
  357. Thu Mar 26 17:40:08 2026 reduce to 338847954 relations and 243622559 ideals in 7 passes
  358. Thu Mar 26 17:40:08 2026 max relations containing the same ideal: 133
  359. Thu Mar 26 17:41:02 2026 removing 5360417 relations and 3360417 ideals in 2000000 cliques
  360. Thu Mar 26 17:41:06 2026 commencing in-memory singleton removal
  361. Thu Mar 26 17:41:11 2026 begin with 333487537 relations and 243622559 unique ideals
  362. Thu Mar 26 17:41:25 2026 reduce to 333412264 relations and 240185950 ideals in 5 passes
  363. Thu Mar 26 17:41:25 2026 max relations containing the same ideal: 132
  364. Thu Mar 26 17:42:17 2026 removing 5364656 relations and 3364656 ideals in 2000000 cliques
  365. Thu Mar 26 17:42:21 2026 commencing in-memory singleton removal
  366. Thu Mar 26 17:42:26 2026 begin with 328047608 relations and 240185950 unique ideals
  367. Thu Mar 26 17:42:43 2026 reduce to 327970450 relations and 236743142 ideals in 6 passes
  368. Thu Mar 26 17:42:43 2026 max relations containing the same ideal: 132
  369. Thu Mar 26 17:43:34 2026 removing 5368072 relations and 3368072 ideals in 2000000 cliques
  370. Thu Mar 26 17:43:38 2026 commencing in-memory singleton removal
  371. Thu Mar 26 17:43:43 2026 begin with 322602378 relations and 236743142 unique ideals
  372. Thu Mar 26 17:43:59 2026 reduce to 322524352 relations and 233296007 ideals in 6 passes
  373. Thu Mar 26 17:43:59 2026 max relations containing the same ideal: 131
  374. Thu Mar 26 17:44:50 2026 removing 5373086 relations and 3373086 ideals in 2000000 cliques
  375. Thu Mar 26 17:44:54 2026 commencing in-memory singleton removal
  376. Thu Mar 26 17:44:59 2026 begin with 317151266 relations and 233296007 unique ideals
  377. Thu Mar 26 17:45:15 2026 reduce to 317071754 relations and 229842317 ideals in 6 passes
  378. Thu Mar 26 17:45:15 2026 max relations containing the same ideal: 128
  379. Thu Mar 26 17:46:04 2026 removing 5377167 relations and 3377167 ideals in 2000000 cliques
  380. Thu Mar 26 17:46:08 2026 commencing in-memory singleton removal
  381. Thu Mar 26 17:46:13 2026 begin with 311694587 relations and 229842317 unique ideals
  382. Thu Mar 26 17:46:28 2026 reduce to 311613337 relations and 226382779 ideals in 6 passes
  383. Thu Mar 26 17:46:28 2026 max relations containing the same ideal: 127
  384. Thu Mar 26 17:47:17 2026 removing 5382733 relations and 3382733 ideals in 2000000 cliques
  385. Thu Mar 26 17:47:21 2026 commencing in-memory singleton removal
  386. Thu Mar 26 17:47:26 2026 begin with 306230604 relations and 226382779 unique ideals
  387. Thu Mar 26 17:47:43 2026 reduce to 306149226 relations and 222917538 ideals in 7 passes
  388. Thu Mar 26 17:47:43 2026 max relations containing the same ideal: 124
  389. Thu Mar 26 17:48:31 2026 removing 5386353 relations and 3386353 ideals in 2000000 cliques
  390. Thu Mar 26 17:48:34 2026 commencing in-memory singleton removal
  391. Thu Mar 26 17:48:39 2026 begin with 300762873 relations and 222917538 unique ideals
  392. Thu Mar 26 17:48:52 2026 reduce to 300679755 relations and 219446860 ideals in 5 passes
  393. Thu Mar 26 17:48:52 2026 max relations containing the same ideal: 122
  394. Thu Mar 26 17:49:39 2026 removing 5394150 relations and 3394150 ideals in 2000000 cliques
  395. Thu Mar 26 17:49:43 2026 commencing in-memory singleton removal
  396. Thu Mar 26 17:49:47 2026 begin with 295285605 relations and 219446860 unique ideals
  397. Thu Mar 26 17:50:00 2026 reduce to 295200932 relations and 215966896 ideals in 5 passes
  398. Thu Mar 26 17:50:00 2026 max relations containing the same ideal: 122
  399. Thu Mar 26 17:50:46 2026 removing 5400478 relations and 3400478 ideals in 2000000 cliques
  400. Thu Mar 26 17:50:49 2026 commencing in-memory singleton removal
  401. Thu Mar 26 17:50:54 2026 begin with 289800454 relations and 215966896 unique ideals
  402. Thu Mar 26 17:51:08 2026 reduce to 289714163 relations and 212478941 ideals in 6 passes
  403. Thu Mar 26 17:51:08 2026 max relations containing the same ideal: 121
  404. Thu Mar 26 17:51:54 2026 removing 5409214 relations and 3409214 ideals in 2000000 cliques
  405. Thu Mar 26 17:51:57 2026 commencing in-memory singleton removal
  406. Thu Mar 26 17:52:02 2026 begin with 284304949 relations and 212478941 unique ideals
  407. Thu Mar 26 17:52:14 2026 reduce to 284216898 relations and 208980413 ideals in 5 passes
  408. Thu Mar 26 17:52:14 2026 max relations containing the same ideal: 120
  409. Thu Mar 26 17:52:59 2026 removing 5417095 relations and 3417095 ideals in 2000000 cliques
  410. Thu Mar 26 17:53:02 2026 commencing in-memory singleton removal
  411. Thu Mar 26 17:53:06 2026 begin with 278799803 relations and 208980413 unique ideals
  412. Thu Mar 26 17:53:20 2026 reduce to 278710393 relations and 205472566 ideals in 6 passes
  413. Thu Mar 26 17:53:20 2026 max relations containing the same ideal: 119
  414. Thu Mar 26 17:54:04 2026 removing 5427858 relations and 3427858 ideals in 2000000 cliques
  415. Thu Mar 26 17:54:07 2026 commencing in-memory singleton removal
  416. Thu Mar 26 17:54:12 2026 begin with 273282535 relations and 205472566 unique ideals
  417. Thu Mar 26 17:54:23 2026 reduce to 273191934 relations and 201952848 ideals in 5 passes
  418. Thu Mar 26 17:54:23 2026 max relations containing the same ideal: 119
  419. Thu Mar 26 17:55:06 2026 removing 5436167 relations and 3436167 ideals in 2000000 cliques
  420. Thu Mar 26 17:55:09 2026 commencing in-memory singleton removal
  421. Thu Mar 26 17:55:14 2026 begin with 267755767 relations and 201952848 unique ideals
  422. Thu Mar 26 17:55:25 2026 reduce to 267662576 relations and 198422222 ideals in 5 passes
  423. Thu Mar 26 17:55:25 2026 max relations containing the same ideal: 114
  424. Thu Mar 26 17:56:07 2026 removing 5446491 relations and 3446491 ideals in 2000000 cliques
  425. Thu Mar 26 17:56:10 2026 commencing in-memory singleton removal
  426. Thu Mar 26 17:56:14 2026 begin with 262216085 relations and 198422222 unique ideals
  427. Thu Mar 26 17:56:27 2026 reduce to 262120883 relations and 194879206 ideals in 6 passes
  428. Thu Mar 26 17:56:27 2026 max relations containing the same ideal: 112
  429. Thu Mar 26 17:57:08 2026 removing 5461519 relations and 3461519 ideals in 2000000 cliques
  430. Thu Mar 26 17:57:12 2026 commencing in-memory singleton removal
  431. Thu Mar 26 17:57:16 2026 begin with 256659364 relations and 194879206 unique ideals
  432. Thu Mar 26 17:57:26 2026 reduce to 256562183 relations and 191319134 ideals in 5 passes
  433. Thu Mar 26 17:57:26 2026 max relations containing the same ideal: 110
  434. Thu Mar 26 17:58:07 2026 removing 5474468 relations and 3474468 ideals in 2000000 cliques
  435. Thu Mar 26 17:58:10 2026 commencing in-memory singleton removal
  436. Thu Mar 26 17:58:14 2026 begin with 251087715 relations and 191319134 unique ideals
  437. Thu Mar 26 17:58:27 2026 reduce to 250987612 relations and 187743119 ideals in 6 passes
  438. Thu Mar 26 17:58:27 2026 max relations containing the same ideal: 108
  439. Thu Mar 26 17:59:06 2026 removing 5488829 relations and 3488829 ideals in 2000000 cliques
  440. Thu Mar 26 17:59:10 2026 commencing in-memory singleton removal
  441. Thu Mar 26 17:59:13 2026 begin with 245498783 relations and 187743119 unique ideals
  442. Thu Mar 26 17:59:24 2026 reduce to 245397277 relations and 184151265 ideals in 5 passes
  443. Thu Mar 26 17:59:24 2026 max relations containing the same ideal: 107
  444. Thu Mar 26 18:00:03 2026 removing 5503546 relations and 3503546 ideals in 2000000 cliques
  445. Thu Mar 26 18:00:06 2026 commencing in-memory singleton removal
  446. Thu Mar 26 18:00:10 2026 begin with 239893731 relations and 184151265 unique ideals
  447. Thu Mar 26 18:00:21 2026 reduce to 239790014 relations and 180542503 ideals in 6 passes
  448. Thu Mar 26 18:00:21 2026 max relations containing the same ideal: 105
  449. Thu Mar 26 18:01:00 2026 removing 5520977 relations and 3520977 ideals in 2000000 cliques
  450. Thu Mar 26 18:01:03 2026 commencing in-memory singleton removal
  451. Thu Mar 26 18:01:07 2026 begin with 234269037 relations and 180542503 unique ideals
  452. Thu Mar 26 18:01:18 2026 reduce to 234162528 relations and 176913393 ideals in 6 passes
  453. Thu Mar 26 18:01:18 2026 max relations containing the same ideal: 102
  454. Thu Mar 26 18:01:56 2026 removing 5533401 relations and 3533401 ideals in 2000000 cliques
  455. Thu Mar 26 18:01:59 2026 commencing in-memory singleton removal
  456. Thu Mar 26 18:02:02 2026 begin with 228629127 relations and 176913393 unique ideals
  457. Thu Mar 26 18:02:14 2026 reduce to 228519539 relations and 173268758 ideals in 6 passes
  458. Thu Mar 26 18:02:14 2026 max relations containing the same ideal: 102
  459. Thu Mar 26 18:02:51 2026 removing 5555870 relations and 3555870 ideals in 2000000 cliques
  460. Thu Mar 26 18:02:54 2026 commencing in-memory singleton removal
  461. Thu Mar 26 18:02:57 2026 begin with 222963669 relations and 173268758 unique ideals
  462. Thu Mar 26 18:03:08 2026 reduce to 222851671 relations and 169599190 ideals in 6 passes
  463. Thu Mar 26 18:03:08 2026 max relations containing the same ideal: 100
  464. Thu Mar 26 18:03:44 2026 removing 5574154 relations and 3574154 ideals in 2000000 cliques
  465. Thu Mar 26 18:03:47 2026 commencing in-memory singleton removal
  466. Thu Mar 26 18:03:51 2026 begin with 217277517 relations and 169599190 unique ideals
  467. Thu Mar 26 18:04:01 2026 reduce to 217163020 relations and 165908756 ideals in 6 passes
  468. Thu Mar 26 18:04:01 2026 max relations containing the same ideal: 99
  469. Thu Mar 26 18:04:37 2026 removing 5594082 relations and 3594082 ideals in 2000000 cliques
  470. Thu Mar 26 18:04:40 2026 commencing in-memory singleton removal
  471. Thu Mar 26 18:04:43 2026 begin with 211568938 relations and 165908756 unique ideals
  472. Thu Mar 26 18:04:53 2026 reduce to 211451332 relations and 162195281 ideals in 6 passes
  473. Thu Mar 26 18:04:53 2026 max relations containing the same ideal: 98
  474. Thu Mar 26 18:05:28 2026 removing 5615631 relations and 3615631 ideals in 2000000 cliques
  475. Thu Mar 26 18:05:31 2026 commencing in-memory singleton removal
  476. Thu Mar 26 18:05:34 2026 begin with 205835701 relations and 162195281 unique ideals
  477. Thu Mar 26 18:05:44 2026 reduce to 205714569 relations and 158456660 ideals in 6 passes
  478. Thu Mar 26 18:05:44 2026 max relations containing the same ideal: 94
  479. Thu Mar 26 18:06:18 2026 removing 5640704 relations and 3640704 ideals in 2000000 cliques
  480. Thu Mar 26 18:06:20 2026 commencing in-memory singleton removal
  481. Thu Mar 26 18:06:23 2026 begin with 200073865 relations and 158456660 unique ideals
  482. Thu Mar 26 18:06:33 2026 reduce to 199949461 relations and 154689676 ideals in 6 passes
  483. Thu Mar 26 18:06:33 2026 max relations containing the same ideal: 91
  484. Thu Mar 26 18:07:06 2026 removing 5665214 relations and 3665214 ideals in 2000000 cliques
  485. Thu Mar 26 18:07:08 2026 commencing in-memory singleton removal
  486. Thu Mar 26 18:07:11 2026 begin with 194284247 relations and 154689676 unique ideals
  487. Thu Mar 26 18:07:21 2026 reduce to 194156073 relations and 150894368 ideals in 6 passes
  488. Thu Mar 26 18:07:21 2026 max relations containing the same ideal: 90
  489. Thu Mar 26 18:07:53 2026 removing 5691066 relations and 3691066 ideals in 2000000 cliques
  490. Thu Mar 26 18:07:56 2026 commencing in-memory singleton removal
  491. Thu Mar 26 18:07:58 2026 begin with 188465007 relations and 150894368 unique ideals
  492. Thu Mar 26 18:08:06 2026 reduce to 188333807 relations and 147070162 ideals in 5 passes
  493. Thu Mar 26 18:08:06 2026 max relations containing the same ideal: 89
  494. Thu Mar 26 18:08:37 2026 removing 5720636 relations and 3720636 ideals in 2000000 cliques
  495. Thu Mar 26 18:08:40 2026 commencing in-memory singleton removal
  496. Thu Mar 26 18:08:43 2026 begin with 182613171 relations and 147070162 unique ideals
  497. Thu Mar 26 18:08:52 2026 reduce to 182476038 relations and 143210350 ideals in 6 passes
  498. Thu Mar 26 18:08:52 2026 max relations containing the same ideal: 86
  499. Thu Mar 26 18:09:22 2026 removing 5749791 relations and 3749791 ideals in 2000000 cliques
  500. Thu Mar 26 18:09:24 2026 commencing in-memory singleton removal
  501. Thu Mar 26 18:09:27 2026 begin with 176726247 relations and 143210350 unique ideals
  502. Thu Mar 26 18:09:36 2026 reduce to 176585301 relations and 139317371 ideals in 6 passes
  503. Thu Mar 26 18:09:36 2026 max relations containing the same ideal: 85
  504. Thu Mar 26 18:10:05 2026 removing 5780261 relations and 3780261 ideals in 2000000 cliques
  505. Thu Mar 26 18:10:08 2026 commencing in-memory singleton removal
  506. Thu Mar 26 18:10:10 2026 begin with 170805040 relations and 139317371 unique ideals
  507. Thu Mar 26 18:10:19 2026 reduce to 170658971 relations and 135388778 ideals in 6 passes
  508. Thu Mar 26 18:10:19 2026 max relations containing the same ideal: 82
  509. Thu Mar 26 18:10:47 2026 removing 5813864 relations and 3813864 ideals in 2000000 cliques
  510. Thu Mar 26 18:10:49 2026 commencing in-memory singleton removal
  511. Thu Mar 26 18:10:52 2026 begin with 164845107 relations and 135388778 unique ideals
  512. Thu Mar 26 18:11:00 2026 reduce to 164693511 relations and 131421012 ideals in 6 passes
  513. Thu Mar 26 18:11:00 2026 max relations containing the same ideal: 80
  514. Thu Mar 26 18:11:28 2026 removing 5850353 relations and 3850353 ideals in 2000000 cliques
  515. Thu Mar 26 18:11:30 2026 commencing in-memory singleton removal
  516. Thu Mar 26 18:11:32 2026 begin with 158843158 relations and 131421012 unique ideals
  517. Thu Mar 26 18:11:40 2026 reduce to 158686176 relations and 127411209 ideals in 6 passes
  518. Thu Mar 26 18:11:40 2026 max relations containing the same ideal: 79
  519. Thu Mar 26 18:12:07 2026 removing 5885895 relations and 3885895 ideals in 2000000 cliques
  520. Thu Mar 26 18:12:09 2026 commencing in-memory singleton removal
  521. Thu Mar 26 18:12:11 2026 begin with 152800281 relations and 127411209 unique ideals
  522. Thu Mar 26 18:12:19 2026 reduce to 152636908 relations and 123359283 ideals in 6 passes
  523. Thu Mar 26 18:12:19 2026 max relations containing the same ideal: 78
  524. Thu Mar 26 18:12:45 2026 removing 5927269 relations and 3927269 ideals in 2000000 cliques
  525. Thu Mar 26 18:12:47 2026 commencing in-memory singleton removal
  526. Thu Mar 26 18:12:49 2026 begin with 146709639 relations and 123359283 unique ideals
  527. Thu Mar 26 18:12:57 2026 reduce to 146539414 relations and 119259143 ideals in 7 passes
  528. Thu Mar 26 18:12:57 2026 max relations containing the same ideal: 77
  529. Thu Mar 26 18:13:23 2026 removing 5970875 relations and 3970875 ideals in 2000000 cliques
  530. Thu Mar 26 18:13:25 2026 commencing in-memory singleton removal
  531. Thu Mar 26 18:13:27 2026 begin with 140568539 relations and 119259143 unique ideals
  532. Thu Mar 26 18:13:33 2026 reduce to 140391932 relations and 115108819 ideals in 5 passes
  533. Thu Mar 26 18:13:33 2026 max relations containing the same ideal: 75
  534. Thu Mar 26 18:13:57 2026 removing 6017100 relations and 4017100 ideals in 2000000 cliques
  535. Thu Mar 26 18:13:59 2026 commencing in-memory singleton removal
  536. Thu Mar 26 18:14:01 2026 begin with 134374832 relations and 115108819 unique ideals
  537. Thu Mar 26 18:14:07 2026 reduce to 134189117 relations and 110902988 ideals in 6 passes
  538. Thu Mar 26 18:14:07 2026 max relations containing the same ideal: 71
  539. Thu Mar 26 18:14:31 2026 removing 6067539 relations and 4067539 ideals in 2000000 cliques
  540. Thu Mar 26 18:14:33 2026 commencing in-memory singleton removal
  541. Thu Mar 26 18:14:35 2026 begin with 128121578 relations and 110902988 unique ideals
  542. Thu Mar 26 18:14:41 2026 reduce to 127927100 relations and 106637761 ideals in 6 passes
  543. Thu Mar 26 18:14:41 2026 max relations containing the same ideal: 70
  544. Thu Mar 26 18:15:03 2026 removing 6117091 relations and 4117091 ideals in 2000000 cliques
  545. Thu Mar 26 18:15:05 2026 commencing in-memory singleton removal
  546. Thu Mar 26 18:15:07 2026 begin with 121810009 relations and 106637761 unique ideals
  547. Thu Mar 26 18:15:13 2026 reduce to 121605858 relations and 102313093 ideals in 6 passes
  548. Thu Mar 26 18:15:13 2026 max relations containing the same ideal: 67
  549. Thu Mar 26 18:15:34 2026 removing 6171302 relations and 4171302 ideals in 2000000 cliques
  550. Thu Mar 26 18:15:36 2026 commencing in-memory singleton removal
  551. Thu Mar 26 18:15:38 2026 begin with 115434556 relations and 102313093 unique ideals
  552. Thu Mar 26 18:15:43 2026 reduce to 115217424 relations and 97920926 ideals in 6 passes
  553. Thu Mar 26 18:15:43 2026 max relations containing the same ideal: 66
  554. Thu Mar 26 18:16:04 2026 removing 6229237 relations and 4229237 ideals in 2000000 cliques
  555. Thu Mar 26 18:16:06 2026 commencing in-memory singleton removal
  556. Thu Mar 26 18:16:07 2026 begin with 108988187 relations and 97920926 unique ideals
  557. Thu Mar 26 18:16:13 2026 reduce to 108758181 relations and 93457679 ideals in 7 passes
  558. Thu Mar 26 18:16:13 2026 max relations containing the same ideal: 62
  559. Thu Mar 26 18:16:33 2026 removing 6289030 relations and 4289030 ideals in 2000000 cliques
  560. Thu Mar 26 18:16:35 2026 commencing in-memory singleton removal
  561. Thu Mar 26 18:16:36 2026 begin with 102469151 relations and 93457679 unique ideals
  562. Thu Mar 26 18:16:41 2026 reduce to 102223604 relations and 88918686 ideals in 6 passes
  563. Thu Mar 26 18:16:41 2026 max relations containing the same ideal: 60
  564. Thu Mar 26 18:16:59 2026 removing 6356986 relations and 4356986 ideals in 2000000 cliques
  565. Thu Mar 26 18:17:01 2026 commencing in-memory singleton removal
  566. Thu Mar 26 18:17:02 2026 begin with 95866618 relations and 88918686 unique ideals
  567. Thu Mar 26 18:17:07 2026 reduce to 95603034 relations and 84293278 ideals in 6 passes
  568. Thu Mar 26 18:17:07 2026 max relations containing the same ideal: 58
  569. Thu Mar 26 18:17:24 2026 removing 6429531 relations and 4429531 ideals in 2000000 cliques
  570. Thu Mar 26 18:17:26 2026 commencing in-memory singleton removal
  571. Thu Mar 26 18:17:27 2026 begin with 89173503 relations and 84293278 unique ideals
  572. Thu Mar 26 18:17:31 2026 reduce to 88887498 relations and 79572177 ideals in 6 passes
  573. Thu Mar 26 18:17:31 2026 max relations containing the same ideal: 56
  574. Thu Mar 26 18:17:48 2026 removing 6510238 relations and 4510238 ideals in 2000000 cliques
  575. Thu Mar 26 18:17:49 2026 commencing in-memory singleton removal
  576. Thu Mar 26 18:17:50 2026 begin with 82377260 relations and 79572177 unique ideals
  577. Thu Mar 26 18:17:55 2026 reduce to 82063321 relations and 74741724 ideals in 7 passes
  578. Thu Mar 26 18:17:55 2026 max relations containing the same ideal: 53
  579. Thu Mar 26 18:18:10 2026 removing 6600551 relations and 4600551 ideals in 2000000 cliques
  580. Thu Mar 26 18:18:12 2026 commencing in-memory singleton removal
  581. Thu Mar 26 18:18:13 2026 begin with 75462770 relations and 74741724 unique ideals
  582. Thu Mar 26 18:18:17 2026 reduce to 75114175 relations and 69785209 ideals in 7 passes
  583. Thu Mar 26 18:18:17 2026 max relations containing the same ideal: 50
  584. Thu Mar 26 18:18:31 2026 removing 4024736 relations and 2936157 ideals in 1088579 cliques
  585. Thu Mar 26 18:18:32 2026 commencing in-memory singleton removal
  586. Thu Mar 26 18:18:33 2026 begin with 71089439 relations and 69785209 unique ideals
  587. Thu Mar 26 18:18:36 2026 reduce to 70945171 relations and 66703055 ideals in 6 passes
  588. Thu Mar 26 18:18:36 2026 max relations containing the same ideal: 48
  589. Thu Mar 26 18:18:54 2026 relations with 0 large ideals: 301516
  590. Thu Mar 26 18:18:54 2026 relations with 1 large ideals: 118366
  591. Thu Mar 26 18:18:54 2026 relations with 2 large ideals: 1254903
  592. Thu Mar 26 18:18:54 2026 relations with 3 large ideals: 5781260
  593. Thu Mar 26 18:18:54 2026 relations with 4 large ideals: 14086790
  594. Thu Mar 26 18:18:54 2026 relations with 5 large ideals: 21177954
  595. Thu Mar 26 18:18:54 2026 relations with 6 large ideals: 16234150
  596. Thu Mar 26 18:18:54 2026 relations with 7+ large ideals: 11990232
  597. Thu Mar 26 18:18:54 2026 commencing 2-way merge
  598. Thu Mar 26 18:19:14 2026 reduce to 46437171 relation sets and 42195055 unique ideals
  599. Thu Mar 26 18:19:14 2026 commencing full merge
  600. Thu Mar 26 18:27:36 2026 memory use: 5459.2 MB
  601. Thu Mar 26 18:27:39 2026 found 22347244 cycles, need 21817255
  602. Thu Mar 26 18:27:43 2026 weight of 21817255 cycles is about 2400082661 (110.01/cycle)
  603. Thu Mar 26 18:27:43 2026 distribution of cycle lengths:
  604. Thu Mar 26 18:27:43 2026 1 relations: 1115394
  605. Thu Mar 26 18:27:43 2026 2 relations: 1315446
  606. Thu Mar 26 18:27:43 2026 3 relations: 1555062
  607. Thu Mar 26 18:27:43 2026 4 relations: 1642457
  608. Thu Mar 26 18:27:43 2026 5 relations: 1720138
  609. Thu Mar 26 18:27:43 2026 6 relations: 1738132
  610. Thu Mar 26 18:27:43 2026 7 relations: 1725490
  611. Thu Mar 26 18:27:43 2026 8 relations: 1661619
  612. Thu Mar 26 18:27:43 2026 9 relations: 1555809
  613. Thu Mar 26 18:27:43 2026 10+ relations: 7787708
  614. Thu Mar 26 18:27:43 2026 heaviest cycle: 27 relations
  615. Thu Mar 26 18:27:46 2026 commencing cycle optimization
  616. Thu Mar 26 18:28:14 2026 start with 176640566 relations
  617. Thu Mar 26 18:31:33 2026 pruned 8275686 relations
  618. Thu Mar 26 18:31:33 2026 memory use: 4734.0 MB
  619. Thu Mar 26 18:31:33 2026 distribution of cycle lengths:
  620. Thu Mar 26 18:31:33 2026 1 relations: 1115394
  621. Thu Mar 26 18:31:33 2026 2 relations: 1346224
  622. Thu Mar 26 18:31:33 2026 3 relations: 1622268
  623. Thu Mar 26 18:31:33 2026 4 relations: 1718229
  624. Thu Mar 26 18:31:33 2026 5 relations: 1819459
  625. Thu Mar 26 18:31:33 2026 6 relations: 1839443
  626. Thu Mar 26 18:31:33 2026 7 relations: 1836103
  627. Thu Mar 26 18:31:33 2026 8 relations: 1761147
  628. Thu Mar 26 18:31:33 2026 9 relations: 1643951
  629. Thu Mar 26 18:31:33 2026 10+ relations: 7115037
  630. Thu Mar 26 18:31:33 2026 heaviest cycle: 26 relations
  631. Thu Mar 26 18:31:55 2026 RelProcTime: 14134
  632. Thu Mar 26 18:31:55 2026 elapsed time 03:55:34
  633. Thu Mar 26 21:18:08 2026
  634. Thu Mar 26 21:18:08 2026
  635. Thu Mar 26 21:18:08 2026 Msieve v. 1.54 (SVN 573b9ef)
  636. Thu Mar 26 21:18:08 2026 random seeds: c6f2fa42 d2a34af2
  637. Thu Mar 26 21:18:08 2026 MPI process 0 of 2
  638. Thu Mar 26 21:18:08 2026 Using 8 OpenMP threads
  639. Thu Mar 26 21:18:08 2026 factoring 3296778739484071190846765790676634281700501772376285000114985362200316352409866185814636115842312998410736907904238583702152897186593369069394948696301505122426719999435480352169796168207689081611063731454501 (208 digits)
  640. Thu Mar 26 21:18:09 2026 no P-1/P+1/ECM available, skipping
  641. Thu Mar 26 21:18:09 2026 commencing number field sieve (208-digit input)
  642. Thu Mar 26 21:18:09 2026 R0: 49221735352184872959961855190338177606846542622561400857262407
  643. Thu Mar 26 21:18:09 2026 R1: -67585198634817523235520443624317923
  644. Thu Mar 26 21:18:09 2026 A0: 1
  645. Thu Mar 26 21:18:09 2026 A1: 1
  646. Thu Mar 26 21:18:09 2026 A2: 1
  647. Thu Mar 26 21:18:09 2026 A3: 1
  648. Thu Mar 26 21:18:09 2026 A4: 1
  649. Thu Mar 26 21:18:09 2026 skew 2.01, size 4.307e-25, alpha 1.694, combined = 6.066e-15 rroots = 0
  650. Thu Mar 26 21:18:09 2026
  651. Thu Mar 26 21:18:09 2026 commencing linear algebra
  652. Thu Mar 26 21:18:09 2026 using VBITS=256
  653. Thu Mar 26 21:18:09 2026 initialized process (0,0) of 1 x 2 grid
  654. Thu Mar 26 21:18:10 2026 read 21817255 cycles
  655. Thu Mar 26 21:18:37 2026 cycles contain 69104035 unique relations
  656. Thu Mar 26 21:21:34 2026 read 69104035 relations
  657. Thu Mar 26 21:21:49 2026 using 20 quadratic characters above 4294917295
  658. Thu Mar 26 21:22:08 2026 building initial matrix
  659. Thu Mar 26 21:33:07 2026 memory use: 9032.5 MB
  660. Thu Mar 26 21:33:18 2026 read 21817255 cycles
  661. Thu Mar 26 21:33:21 2026 matrix is 21817072 x 21817255 (9530.3 MB) with weight 2729281038 (125.10/col)
  662. Thu Mar 26 21:33:21 2026 sparse part has weight 2258327651 (103.51/col)
  663. Thu Mar 26 21:36:54 2026 filtering completed in 2 passes
  664. Thu Mar 26 21:36:58 2026 matrix is 21815614 x 21815778 (9530.2 MB) with weight 2729222810 (125.10/col)
  665. Thu Mar 26 21:36:58 2026 sparse part has weight 2258300315 (103.52/col)
  666. Thu Mar 26 21:37:44 2026 matrix starts at (0, 0)
  667. Thu Mar 26 21:37:45 2026 matrix is 21815614 x 10907883 (4765.1 MB) with weight 1364602602 (125.10/col)
  668. Thu Mar 26 21:37:45 2026 sparse part has weight 1129150348 (103.52/col)
  669. Thu Mar 26 21:37:45 2026 saving the first 240 matrix rows for later
  670. Thu Mar 26 21:37:47 2026 matrix includes 256 packed rows
  671. Thu Mar 26 21:37:51 2026 matrix is 21815374 x 10907883 (4423.2 MB) with weight 1033913010 (94.79/col)
  672. Thu Mar 26 21:37:51 2026 sparse part has weight 984978489 (90.30/col)
  673. Thu Mar 26 21:37:52 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  674. Thu Mar 26 21:37:52 2026 selected card has CUDA arch 8.6
  675. Thu Mar 26 21:38:59 2026 commencing Lanczos iteration
  676. Thu Mar 26 21:39:01 2026 memory use: 11301.3 MB
  677. Thu Mar 26 21:39:46 2026 linear algebra at 0.1%, ETA 8h41m
  678. Thu Mar 26 21:40:52 2026 checking every 40000 dimensions, checkpointing every 2520000 dimensions
  679. Fri Mar 27 06:13:39 2026 lanczos halted after 85473 iterations (dim = 21815371)
  680. Fri Mar 27 06:15:14 2026 recovered 35 nontrivial dependencies
  681. Fri Mar 27 06:15:15 2026 BLanczosTime: 32226
  682. Fri Mar 27 06:15:15 2026 elapsed time 08:57:07
  683. Fri Mar 27 09:51:39 2026
  684. Fri Mar 27 09:51:39 2026
  685. Fri Mar 27 09:51:39 2026 Msieve v. 1.54 (SVN 573b9ef)
  686. Fri Mar 27 09:51:39 2026 random seeds: 28d35719 aad13aea
  687. Fri Mar 27 09:51:39 2026 Using 32 OpenMP threads
  688. Fri Mar 27 09:51:39 2026 factoring 3296778739484071190846765790676634281700501772376285000114985362200316352409866185814636115842312998410736907904238583702152897186593369069394948696301505122426719999435480352169796168207689081611063731454501 (208 digits)
  689. Fri Mar 27 09:51:39 2026 no P-1/P+1/ECM available, skipping
  690. Fri Mar 27 09:51:39 2026 commencing number field sieve (208-digit input)
  691. Fri Mar 27 09:51:39 2026 R0: 49221735352184872959961855190338177606846542622561400857262407
  692. Fri Mar 27 09:51:39 2026 R1: -67585198634817523235520443624317923
  693. Fri Mar 27 09:51:39 2026 A0: 1
  694. Fri Mar 27 09:51:39 2026 A1: 1
  695. Fri Mar 27 09:51:39 2026 A2: 1
  696. Fri Mar 27 09:51:39 2026 A3: 1
  697. Fri Mar 27 09:51:39 2026 A4: 1
  698. Fri Mar 27 09:51:39 2026 skew 2.01, size 4.307e-25, alpha 1.694, combined = 6.066e-15 rroots = 0
  699. Fri Mar 27 09:51:39 2026
  700. Fri Mar 27 09:51:39 2026 commencing square root phase
  701. Fri Mar 27 09:51:39 2026 reading relations for dependency 1
  702. Fri Mar 27 09:51:40 2026 read 10907876 cycles
  703. Fri Mar 27 09:51:53 2026 cycles contain 34555706 unique relations
  704. Fri Mar 27 09:54:06 2026 read 34555706 relations
  705. Fri Mar 27 09:55:19 2026 multiplying 34555706 relations
  706. Fri Mar 27 09:56:12 2026 multiply complete, coefficients have about 972.69 million bits
  707. Fri Mar 27 09:56:13 2026 initial square root is modulo 532653767
  708. Fri Mar 27 09:58:46 2026 GCD is N, no factor found
  709. Fri Mar 27 09:58:46 2026 reading relations for dependency 2
  710. Fri Mar 27 09:58:47 2026 read 10905021 cycles
  711. Fri Mar 27 09:59:00 2026 cycles contain 34544502 unique relations
  712. Fri Mar 27 10:01:10 2026 read 34544502 relations
  713. Fri Mar 27 10:02:28 2026 multiplying 34544502 relations
  714. Fri Mar 27 10:03:21 2026 multiply complete, coefficients have about 972.37 million bits
  715. Fri Mar 27 10:03:22 2026 initial square root is modulo 529222567
  716. Fri Mar 27 10:05:58 2026 sqrtTime: 859
  717. Fri Mar 27 10:05:58 2026 p100 factor: 2295954052276302308839366670986373527752486976608648184444986547853837923508038877679873540932336731
  718. Fri Mar 27 10:05:58 2026 p109 factor: 1435907977433394429881671558192375888469543785340230810796661277225919045313243342394747659212272203521868671
  719. Fri Mar 27 10:05:58 2026 elapsed time 00:14:19
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