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May 4th, 2026
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  1. Thu Apr 23 11:55:25 2026
  2. Thu Apr 23 11:55:25 2026
  3. Thu Apr 23 11:55:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Apr 23 11:55:25 2026 random seeds: 12fee765 b8c72d48
  5. Thu Apr 23 11:55:25 2026 MPI process 0 of 1
  6. Thu Apr 23 11:55:25 2026 Using 32 OpenMP threads
  7. Thu Apr 23 11:55:25 2026 factoring 51346669517076332637485759085461588257181031820979839199428277004017757177850028475520332570084904840161192495936540147905576171836017899658368504808318444604788477235220130930198387098238277 (191 digits)
  8. Thu Apr 23 11:55:26 2026 searching for 15-digit factors
  9. Thu Apr 23 11:55:27 2026 commencing number field sieve (191-digit input)
  10. Thu Apr 23 11:55:27 2026 R0: -13174646894532478167948823713309077252
  11. Thu Apr 23 11:55:27 2026 R1: 862642991192825818628629
  12. Thu Apr 23 11:55:27 2026 A0: 12131405517743760168264491868621920975621287860
  13. Thu Apr 23 11:55:27 2026 A1: 353332884148921118276974575674186098624
  14. Thu Apr 23 11:55:27 2026 A2: -5220055292853431609364914231815
  15. Thu Apr 23 11:55:27 2026 A3: -52624947734570795183763
  16. Thu Apr 23 11:55:27 2026 A4: 315748819938636
  17. Thu Apr 23 11:55:27 2026 A5: 517440
  18. Thu Apr 23 11:55:27 2026 skew 150061363.98, size 1.171e-18, alpha -7.445, combined = 1.938e-14 rroots = 5
  19. Thu Apr 23 11:55:27 2026
  20. Thu Apr 23 11:55:27 2026 commencing relation filtering
  21. Thu Apr 23 11:55:27 2026 setting target matrix density to 140.0
  22. Thu Apr 23 11:55:27 2026 estimated available RAM is 257736.5 MB
  23. Thu Apr 23 11:55:27 2026 commencing duplicate removal, pass 1
  24. Thu Apr 23 11:55:38 2026 error -1 reading relation 3207387
  25. Thu Apr 23 11:55:50 2026 error -1 reading relation 7293719
  26. Thu Apr 23 11:56:26 2026 error -1 reading relation 20546572
  27. Thu Apr 23 11:57:12 2026 error -1 reading relation 37821006
  28. Thu Apr 23 11:57:13 2026 error -1 reading relation 37928930
  29. Thu Apr 23 11:57:23 2026 error -1 reading relation 41628248
  30. Thu Apr 23 11:57:32 2026 error -1 reading relation 44872406
  31. Thu Apr 23 11:58:25 2026 error -1 reading relation 65506340
  32. Thu Apr 23 11:58:57 2026 error -1 reading relation 76266456
  33. Thu Apr 23 12:00:00 2026 error -1 reading relation 97877679
  34. Thu Apr 23 12:00:28 2026 error -1 reading relation 107877769
  35. Thu Apr 23 12:00:32 2026 error -1 reading relation 109253682
  36. Thu Apr 23 12:00:53 2026 error -1 reading relation 117437395
  37. Thu Apr 23 12:01:16 2026 error -1 reading relation 125753462
  38. Thu Apr 23 12:01:17 2026 error -1 reading relation 126074926
  39. Thu Apr 23 12:01:32 2026 error -1 reading relation 131503691
  40. Thu Apr 23 12:02:02 2026 error -15 reading relation 142760524
  41. Thu Apr 23 12:02:13 2026 error -1 reading relation 146718279
  42. Thu Apr 23 12:02:29 2026 error -1 reading relation 151420892
  43. Thu Apr 23 12:02:44 2026 error -1 reading relation 156990123
  44. Thu Apr 23 12:03:55 2026 error -1 reading relation 181408802
  45. Thu Apr 23 12:03:59 2026 error -1 reading relation 182748395
  46. Thu Apr 23 12:05:35 2026 error -1 reading relation 214724965
  47. Thu Apr 23 12:06:23 2026 error -1 reading relation 230899925
  48. Thu Apr 23 12:06:49 2026 error -1 reading relation 240489716
  49. Thu Apr 23 12:06:51 2026 error -1 reading relation 241197443
  50. Thu Apr 23 12:07:05 2026 error -1 reading relation 246075874
  51. Thu Apr 23 12:08:23 2026 error -1 reading relation 273214481
  52. Thu Apr 23 12:08:31 2026 error -1 reading relation 276183526
  53. Thu Apr 23 12:09:38 2026 error -1 reading relation 301060761
  54. Thu Apr 23 12:09:58 2026 error -1 reading relation 308486338
  55. Thu Apr 23 12:10:03 2026 error -1 reading relation 310238253
  56. Thu Apr 23 12:10:15 2026 error -1 reading relation 314570425
  57. Thu Apr 23 12:10:49 2026 error -1 reading relation 326795028
  58. Thu Apr 23 12:10:51 2026 error -1 reading relation 327388034
  59. Thu Apr 23 12:10:52 2026 error -1 reading relation 327532104
  60. Thu Apr 23 12:10:52 2026 error -1 reading relation 327653773
  61. Thu Apr 23 12:10:53 2026 error -1 reading relation 328042707
  62. Thu Apr 23 12:10:59 2026 error -1 reading relation 330003020
  63. Thu Apr 23 12:11:20 2026 error -1 reading relation 337557650
  64. Thu Apr 23 12:11:24 2026 error -1 reading relation 339101363
  65. Thu Apr 23 12:11:25 2026 error -1 reading relation 339258308
  66. Thu Apr 23 12:12:35 2026 error -1 reading relation 364367950
  67. Thu Apr 23 12:12:52 2026 error -1 reading relation 370901621
  68. Thu Apr 23 12:13:19 2026 error -1 reading relation 379829532
  69. Thu Apr 23 12:13:21 2026 error -1 reading relation 380798208
  70. Thu Apr 23 12:13:37 2026 error -1 reading relation 385830906
  71. Thu Apr 23 12:13:55 2026 error -1 reading relation 391444804
  72. Thu Apr 23 12:14:04 2026 error -1 reading relation 394267645
  73. Thu Apr 23 12:14:19 2026 error -15 reading relation 399829637
  74. Thu Apr 23 12:14:30 2026 error -1 reading relation 403956746
  75. Thu Apr 23 12:14:55 2026 error -1 reading relation 413076091
  76. Thu Apr 23 12:15:29 2026 error -1 reading relation 425615575
  77. Thu Apr 23 12:15:37 2026 error -1 reading relation 428622316
  78. Thu Apr 23 12:15:50 2026 error -1 reading relation 433439987
  79. Thu Apr 23 12:16:17 2026 error -1 reading relation 443355849
  80. Thu Apr 23 12:16:25 2026 error -1 reading relation 446167672
  81. Thu Apr 23 12:16:33 2026 error -1 reading relation 449270114
  82. Thu Apr 23 12:16:36 2026 error -1 reading relation 450396124
  83. Thu Apr 23 12:16:37 2026 error -1 reading relation 450463023
  84. Thu Apr 23 12:16:43 2026 error -1 reading relation 452709193
  85. Thu Apr 23 12:17:01 2026 error -1 reading relation 459611552
  86. Thu Apr 23 12:17:07 2026 error -1 reading relation 461630790
  87. Thu Apr 23 12:17:13 2026 error -1 reading relation 463997128
  88. Thu Apr 23 12:17:21 2026 error -1 reading relation 466982791
  89. Thu Apr 23 12:17:55 2026 error -1 reading relation 477995885
  90. Thu Apr 23 12:18:01 2026 error -1 reading relation 479942998
  91. Thu Apr 23 12:18:01 2026 error -1 reading relation 480034487
  92. Thu Apr 23 12:18:02 2026 error -1 reading relation 480294840
  93. Thu Apr 23 12:18:08 2026 error -1 reading relation 482785366
  94. Thu Apr 23 12:18:11 2026 error -1 reading relation 483897714
  95. Thu Apr 23 12:18:13 2026 error -1 reading relation 484417239
  96. Thu Apr 23 12:18:28 2026 error -1 reading relation 490020947
  97. Thu Apr 23 12:18:46 2026 error -15 reading relation 496457694
  98. Thu Apr 23 12:18:55 2026 error -1 reading relation 499898229
  99. Thu Apr 23 12:18:56 2026 error -1 reading relation 500395282
  100. Thu Apr 23 12:19:20 2026 error -1 reading relation 509153683
  101. Thu Apr 23 12:19:23 2026 error -1 reading relation 510262425
  102. Thu Apr 23 12:19:24 2026 error -1 reading relation 510612838
  103. Thu Apr 23 12:19:55 2026 error -5 reading relation 520927551
  104. Thu Apr 23 12:19:57 2026 error -15 reading relation 521679545
  105. Thu Apr 23 12:19:57 2026 error -1 reading relation 521679546
  106. Thu Apr 23 12:20:11 2026 error -1 reading relation 526290147
  107. Thu Apr 23 12:20:30 2026 error -11 reading relation 532130731
  108. Thu Apr 23 12:20:59 2026 error -1 reading relation 540411286
  109. Thu Apr 23 12:21:30 2026 error -1 reading relation 550934643
  110. Thu Apr 23 12:21:32 2026 error -1 reading relation 551553786
  111. Thu Apr 23 12:21:59 2026 error -1 reading relation 561325899
  112. Thu Apr 23 12:23:30 2026 error -1 reading relation 593152886
  113. Thu Apr 23 12:23:48 2026 error -1 reading relation 599729413
  114. Thu Apr 23 12:24:34 2026 error -1 reading relation 616896388
  115. Thu Apr 23 12:24:53 2026 error -1 reading relation 623851135
  116. Thu Apr 23 12:25:00 2026 error -1 reading relation 626339713
  117. Thu Apr 23 12:26:10 2026 error -1 reading relation 651201641
  118. Thu Apr 23 12:26:33 2026 error -15 reading relation 659707717
  119. Thu Apr 23 12:26:33 2026 error -11 reading relation 659707718
  120. Thu Apr 23 12:26:34 2026 error -11 reading relation 660052710
  121. Thu Apr 23 12:26:39 2026 error -1 reading relation 661608056
  122. Thu Apr 23 12:26:53 2026 error -1 reading relation 666777232
  123. Thu Apr 23 12:27:13 2026 error -1 reading relation 673849147
  124. Thu Apr 23 12:27:14 2026 error -1 reading relation 674563324
  125. Thu Apr 23 12:27:15 2026 error -1 reading relation 674702786
  126. Thu Apr 23 12:27:19 2026 error -1 reading relation 676430598
  127. Thu Apr 23 12:28:13 2026 error -1 reading relation 695241947
  128. Thu Apr 23 12:28:16 2026 error -1 reading relation 696421801
  129. Thu Apr 23 12:28:48 2026 error -1 reading relation 707651307
  130. Thu Apr 23 12:29:22 2026 error -1 reading relation 720044480
  131. Thu Apr 23 12:29:42 2026 error -1 reading relation 727334581
  132. Thu Apr 23 12:29:51 2026 error -1 reading relation 730620383
  133. Thu Apr 23 12:29:59 2026 error -1 reading relation 733429449
  134. Thu Apr 23 12:30:28 2026 error -1 reading relation 744460453
  135. Thu Apr 23 12:30:36 2026 error -1 reading relation 747286353
  136. Thu Apr 23 12:30:46 2026 error -1 reading relation 750945007
  137. Thu Apr 23 12:30:51 2026 error -1 reading relation 752796839
  138. Thu Apr 23 12:30:51 2026 error -1 reading relation 752916757
  139. Thu Apr 23 12:31:14 2026 error -1 reading relation 760622034
  140. Thu Apr 23 12:31:21 2026 error -1 reading relation 763021100
  141. Thu Apr 23 12:31:23 2026 error -11 reading relation 763806723
  142. Thu Apr 23 12:31:29 2026 error -1 reading relation 766024360
  143. Thu Apr 23 12:31:40 2026 error -1 reading relation 770016789
  144. Thu Apr 23 12:31:46 2026 error -1 reading relation 772169821
  145. Thu Apr 23 12:31:48 2026 error -1 reading relation 772790425
  146. Thu Apr 23 12:32:02 2026 error -1 reading relation 778433019
  147. Thu Apr 23 12:32:03 2026 error -1 reading relation 778745377
  148. Thu Apr 23 12:32:13 2026 error -1 reading relation 782400375
  149. Thu Apr 23 12:32:26 2026 error -1 reading relation 786996428
  150. Thu Apr 23 12:32:31 2026 error -11 reading relation 788784051
  151. Thu Apr 23 12:32:32 2026 error -1 reading relation 788957744
  152. Thu Apr 23 12:32:36 2026 error -1 reading relation 790699654
  153. Thu Apr 23 12:33:01 2026 error -1 reading relation 799424177
  154. Thu Apr 23 12:33:02 2026 error -1 reading relation 799507412
  155. Thu Apr 23 12:33:25 2026 error -1 reading relation 807817174
  156. Thu Apr 23 12:33:39 2026 error -1 reading relation 812856868
  157. Thu Apr 23 12:33:42 2026 error -1 reading relation 814263742
  158. Thu Apr 23 12:34:45 2026 error -1 reading relation 835075967
  159. Thu Apr 23 12:35:16 2026 error -1 reading relation 845536146
  160. Thu Apr 23 12:35:41 2026 error -1 reading relation 853927650
  161. Thu Apr 23 12:36:00 2026 error -1 reading relation 860483341
  162. Thu Apr 23 12:36:25 2026 error -1 reading relation 868329567
  163. Thu Apr 23 12:36:31 2026 error -1 reading relation 870329140
  164. Thu Apr 23 12:36:33 2026 error -1 reading relation 870956303
  165. Thu Apr 23 12:36:38 2026 error -1 reading relation 871971705
  166. Thu Apr 23 12:36:40 2026 error -1 reading relation 872473718
  167. Thu Apr 23 12:37:08 2026 error -1 reading relation 882108492
  168. Thu Apr 23 12:37:10 2026 error -1 reading relation 882789941
  169. Thu Apr 23 12:37:34 2026 error -1 reading relation 891010621
  170. Thu Apr 23 12:37:42 2026 error -1 reading relation 894036435
  171. Thu Apr 23 12:37:44 2026 error -1 reading relation 894856987
  172. Thu Apr 23 12:37:46 2026 error -1 reading relation 895421473
  173. Thu Apr 23 12:37:53 2026 error -1 reading relation 897945530
  174. Thu Apr 23 12:37:58 2026 error -1 reading relation 899679942
  175. Thu Apr 23 12:38:03 2026 error -1 reading relation 901314368
  176. Thu Apr 23 12:38:22 2026 error -1 reading relation 908341481
  177. Thu Apr 23 12:38:29 2026 error -1 reading relation 910565706
  178. Thu Apr 23 12:38:34 2026 error -1 reading relation 912702650
  179. Thu Apr 23 12:38:40 2026 error -1 reading relation 914716827
  180. Thu Apr 23 12:38:46 2026 error -1 reading relation 916863496
  181. Thu Apr 23 12:38:50 2026 error -1 reading relation 918166163
  182. Thu Apr 23 12:38:55 2026 error -1 reading relation 920166395
  183. Thu Apr 23 12:38:56 2026 error -1 reading relation 920441441
  184. Thu Apr 23 12:39:12 2026 error -1 reading relation 926151996
  185. Thu Apr 23 12:39:13 2026 error -1 reading relation 926626752
  186. Thu Apr 23 12:39:14 2026 error -1 reading relation 926992223
  187. Thu Apr 23 12:39:16 2026 error -1 reading relation 927729217
  188. Thu Apr 23 12:39:23 2026 error -1 reading relation 930019941
  189. Thu Apr 23 12:39:25 2026 error -1 reading relation 930841482
  190. Thu Apr 23 12:39:28 2026 error -1 reading relation 932087066
  191. Thu Apr 23 12:39:29 2026 error -1 reading relation 932305458
  192. Thu Apr 23 12:39:41 2026 error -1 reading relation 936092104
  193. Thu Apr 23 12:39:43 2026 error -1 reading relation 936608757
  194. Thu Apr 23 12:39:54 2026 error -1 reading relation 940451073
  195. Thu Apr 23 12:40:10 2026 error -1 reading relation 944737735
  196. Thu Apr 23 12:40:10 2026 error -1 reading relation 945049242
  197. Thu Apr 23 12:40:13 2026 error -1 reading relation 946107084
  198. Thu Apr 23 12:40:15 2026 error -1 reading relation 946463942
  199. Thu Apr 23 12:40:29 2026 error -1 reading relation 950942822
  200. Thu Apr 23 12:40:29 2026 error -1 reading relation 950980004
  201. Thu Apr 23 12:40:31 2026 error -1 reading relation 951360209
  202. Thu Apr 23 12:40:34 2026 error -1 reading relation 952451188
  203. Thu Apr 23 12:40:47 2026 error -1 reading relation 956908432
  204. Thu Apr 23 12:40:47 2026 error -1 reading relation 956952313
  205. Thu Apr 23 12:40:50 2026 error -1 reading relation 957865373
  206. Thu Apr 23 12:40:50 2026 error -1 reading relation 957870483
  207. Thu Apr 23 12:40:57 2026 error -1 reading relation 960391712
  208. Thu Apr 23 12:41:02 2026 error -1 reading relation 961931923
  209. Thu Apr 23 12:41:05 2026 error -1 reading relation 963045285
  210. Thu Apr 23 12:41:20 2026 error -1 reading relation 968079367
  211. Thu Apr 23 12:41:28 2026 error -1 reading relation 970727668
  212. Thu Apr 23 12:41:29 2026 error -1 reading relation 970958847
  213. Thu Apr 23 12:41:41 2026 error -1 reading relation 974191813
  214. Thu Apr 23 12:41:43 2026 error -1 reading relation 974824653
  215. Thu Apr 23 12:41:43 2026 error -1 reading relation 974840128
  216. Thu Apr 23 12:42:06 2026 error -1 reading relation 982462925
  217. Thu Apr 23 12:42:21 2026 error -1 reading relation 987724729
  218. Thu Apr 23 12:42:27 2026 error -1 reading relation 989923048
  219. Thu Apr 23 12:42:31 2026 error -1 reading relation 991230372
  220. Thu Apr 23 12:42:32 2026 error -1 reading relation 991512131
  221. Thu Apr 23 12:42:33 2026 error -1 reading relation 991963004
  222. Thu Apr 23 12:42:38 2026 error -1 reading relation 993458794
  223. Thu Apr 23 12:42:43 2026 error -1 reading relation 995549114
  224. Thu Apr 23 12:42:43 2026 error -1 reading relation 995563814
  225. Thu Apr 23 12:43:02 2026 error -1 reading relation 1002204345
  226. Thu Apr 23 12:43:04 2026 error -1 reading relation 1002584674
  227. Thu Apr 23 12:43:04 2026 error -1 reading relation 1002584675
  228. Thu Apr 23 12:43:04 2026 error -1 reading relation 1002768187
  229. Thu Apr 23 12:43:07 2026 error -1 reading relation 1003529912
  230. Thu Apr 23 12:43:09 2026 error -1 reading relation 1004119224
  231. Thu Apr 23 12:43:11 2026 error -1 reading relation 1004970091
  232. Thu Apr 23 12:43:12 2026 skipped 4 relations with composite factors
  233. Thu Apr 23 12:43:12 2026 skipped 1571 malformed relations
  234. Thu Apr 23 12:43:12 2026 found 253156494 hash collisions in 1005080593 relations
  235. Thu Apr 23 12:43:49 2026 added 121746 free relations
  236. Thu Apr 23 12:43:49 2026 commencing duplicate removal, pass 2
  237. Thu Apr 23 13:23:59 2026 found 283191319 duplicates and 722011020 unique relations
  238. Thu Apr 23 13:23:59 2026 memory use: 5798.0 MB
  239. Thu Apr 23 13:24:00 2026 reading ideals above 720000
  240. Thu Apr 23 13:24:00 2026 commencing singleton removal, initial pass
  241. Thu Apr 23 16:09:35 2026 memory use: 11024.0 MB
  242. Thu Apr 23 16:09:37 2026 reading all ideals from disk
  243. Thu Apr 23 16:10:02 2026 memory use: 36231.8 MB
  244. Thu Apr 23 16:14:47 2026 keeping 649179873 ideals with weight <= 200, target excess is 3713177
  245. Thu Apr 23 16:20:35 2026 commencing in-memory singleton removal
  246. Thu Apr 23 16:20:52 2026 begin with 722011020 relations and 649179873 unique ideals
  247. Thu Apr 23 16:22:02 2026 reduce to 473931988 relations and 376230171 ideals in 13 passes
  248. Thu Apr 23 16:22:02 2026 max relations containing the same ideal: 161
  249. Thu Apr 23 16:28:53 2026 removing 14968731 relations and 12968731 ideals in 2000000 cliques
  250. Thu Apr 23 16:29:19 2026 commencing in-memory singleton removal
  251. Thu Apr 23 16:29:31 2026 begin with 458963257 relations and 376230171 unique ideals
  252. Thu Apr 23 16:30:17 2026 reduce to 458607401 relations and 362903341 ideals in 8 passes
  253. Thu Apr 23 16:30:17 2026 max relations containing the same ideal: 160
  254. Thu Apr 23 16:37:58 2026 removing 11253172 relations and 9253172 ideals in 2000000 cliques
  255. Thu Apr 23 16:38:23 2026 commencing in-memory singleton removal
  256. Thu Apr 23 16:38:34 2026 begin with 447354229 relations and 362903341 unique ideals
  257. Thu Apr 23 16:39:08 2026 reduce to 447131428 relations and 353426145 ideals in 7 passes
  258. Thu Apr 23 16:39:08 2026 max relations containing the same ideal: 158
  259. Thu Apr 23 16:45:35 2026 removing 10063098 relations and 8063098 ideals in 2000000 cliques
  260. Thu Apr 23 16:45:59 2026 commencing in-memory singleton removal
  261. Thu Apr 23 16:46:09 2026 begin with 437068330 relations and 353426145 unique ideals
  262. Thu Apr 23 16:46:55 2026 reduce to 436881877 relations and 345175648 ideals in 7 passes
  263. Thu Apr 23 16:46:55 2026 max relations containing the same ideal: 155
  264. Thu Apr 23 16:52:55 2026 removing 9377076 relations and 7377076 ideals in 2000000 cliques
  265. Thu Apr 23 16:53:15 2026 commencing in-memory singleton removal
  266. Thu Apr 23 16:53:25 2026 begin with 427504801 relations and 345175648 unique ideals
  267. Thu Apr 23 16:53:58 2026 reduce to 427337534 relations and 337630511 ideals in 7 passes
  268. Thu Apr 23 16:53:58 2026 max relations containing the same ideal: 153
  269. Thu Apr 23 16:59:42 2026 removing 8906718 relations and 6906718 ideals in 2000000 cliques
  270. Thu Apr 23 17:00:03 2026 commencing in-memory singleton removal
  271. Thu Apr 23 17:00:12 2026 begin with 418430816 relations and 337630511 unique ideals
  272. Thu Apr 23 17:00:45 2026 reduce to 418275841 relations and 330568033 ideals in 7 passes
  273. Thu Apr 23 17:00:45 2026 max relations containing the same ideal: 153
  274. Thu Apr 23 17:06:07 2026 removing 8562260 relations and 6562260 ideals in 2000000 cliques
  275. Thu Apr 23 17:06:24 2026 commencing in-memory singleton removal
  276. Thu Apr 23 17:06:33 2026 begin with 409713581 relations and 330568033 unique ideals
  277. Thu Apr 23 17:07:01 2026 reduce to 409565572 relations and 323857042 ideals in 7 passes
  278. Thu Apr 23 17:07:01 2026 max relations containing the same ideal: 149
  279. Thu Apr 23 17:12:17 2026 removing 8298500 relations and 6298500 ideals in 2000000 cliques
  280. Thu Apr 23 17:12:38 2026 commencing in-memory singleton removal
  281. Thu Apr 23 17:12:47 2026 begin with 401267072 relations and 323857042 unique ideals
  282. Thu Apr 23 17:13:22 2026 reduce to 401125714 relations and 317416461 ideals in 7 passes
  283. Thu Apr 23 17:13:22 2026 max relations containing the same ideal: 146
  284. Thu Apr 23 17:18:43 2026 removing 8079923 relations and 6079923 ideals in 2000000 cliques
  285. Thu Apr 23 17:19:03 2026 commencing in-memory singleton removal
  286. Thu Apr 23 17:19:11 2026 begin with 393045791 relations and 317416461 unique ideals
  287. Thu Apr 23 17:19:38 2026 reduce to 392907548 relations and 311197613 ideals in 6 passes
  288. Thu Apr 23 17:19:38 2026 max relations containing the same ideal: 144
  289. Thu Apr 23 17:24:37 2026 removing 7906892 relations and 5906892 ideals in 2000000 cliques
  290. Thu Apr 23 17:24:57 2026 commencing in-memory singleton removal
  291. Thu Apr 23 17:25:05 2026 begin with 385000656 relations and 311197613 unique ideals
  292. Thu Apr 23 17:25:44 2026 reduce to 384864993 relations and 305154341 ideals in 8 passes
  293. Thu Apr 23 17:25:44 2026 max relations containing the same ideal: 143
  294. Thu Apr 23 17:31:17 2026 removing 7766869 relations and 5766869 ideals in 2000000 cliques
  295. Thu Apr 23 17:31:37 2026 commencing in-memory singleton removal
  296. Thu Apr 23 17:31:49 2026 begin with 377098124 relations and 305154341 unique ideals
  297. Thu Apr 23 17:32:20 2026 reduce to 376964560 relations and 299253175 ideals in 7 passes
  298. Thu Apr 23 17:32:20 2026 max relations containing the same ideal: 143
  299. Thu Apr 23 17:38:53 2026 removing 7641149 relations and 5641149 ideals in 2000000 cliques
  300. Thu Apr 23 17:39:15 2026 commencing in-memory singleton removal
  301. Thu Apr 23 17:39:25 2026 begin with 369323411 relations and 299253175 unique ideals
  302. Thu Apr 23 17:39:55 2026 reduce to 369191782 relations and 293479707 ideals in 7 passes
  303. Thu Apr 23 17:39:55 2026 max relations containing the same ideal: 140
  304. Thu Apr 23 17:46:18 2026 removing 7536668 relations and 5536668 ideals in 2000000 cliques
  305. Thu Apr 23 17:46:42 2026 commencing in-memory singleton removal
  306. Thu Apr 23 17:46:52 2026 begin with 361655114 relations and 293479707 unique ideals
  307. Thu Apr 23 17:47:17 2026 reduce to 361524163 relations and 287811383 ideals in 6 passes
  308. Thu Apr 23 17:47:17 2026 max relations containing the same ideal: 137
  309. Thu Apr 23 17:52:59 2026 removing 7446266 relations and 5446266 ideals in 2000000 cliques
  310. Thu Apr 23 17:53:22 2026 commencing in-memory singleton removal
  311. Thu Apr 23 17:53:32 2026 begin with 354077897 relations and 287811383 unique ideals
  312. Thu Apr 23 17:54:03 2026 reduce to 353948571 relations and 282235055 ideals in 7 passes
  313. Thu Apr 23 17:54:03 2026 max relations containing the same ideal: 136
  314. Thu Apr 23 17:59:31 2026 removing 7369319 relations and 5369319 ideals in 2000000 cliques
  315. Thu Apr 23 17:59:51 2026 commencing in-memory singleton removal
  316. Thu Apr 23 18:00:02 2026 begin with 346579252 relations and 282235055 unique ideals
  317. Thu Apr 23 18:00:29 2026 reduce to 346449254 relations and 276734936 ideals in 6 passes
  318. Thu Apr 23 18:00:29 2026 max relations containing the same ideal: 133
  319. Thu Apr 23 18:05:58 2026 removing 7304610 relations and 5304610 ideals in 2000000 cliques
  320. Thu Apr 23 18:06:25 2026 commencing in-memory singleton removal
  321. Thu Apr 23 18:06:34 2026 begin with 339144644 relations and 276734936 unique ideals
  322. Thu Apr 23 18:06:55 2026 reduce to 339014141 relations and 271299096 ideals in 6 passes
  323. Thu Apr 23 18:06:55 2026 max relations containing the same ideal: 132
  324. Thu Apr 23 18:12:15 2026 removing 7247619 relations and 5247619 ideals in 2000000 cliques
  325. Thu Apr 23 18:12:34 2026 commencing in-memory singleton removal
  326. Thu Apr 23 18:12:41 2026 begin with 331766522 relations and 271299096 unique ideals
  327. Thu Apr 23 18:13:07 2026 reduce to 331635011 relations and 265919135 ideals in 7 passes
  328. Thu Apr 23 18:13:07 2026 max relations containing the same ideal: 129
  329. Thu Apr 23 18:19:03 2026 removing 7197685 relations and 5197685 ideals in 2000000 cliques
  330. Thu Apr 23 18:19:20 2026 commencing in-memory singleton removal
  331. Thu Apr 23 18:19:27 2026 begin with 324437326 relations and 265919135 unique ideals
  332. Thu Apr 23 18:19:48 2026 reduce to 324306263 relations and 260589600 ideals in 6 passes
  333. Thu Apr 23 18:19:48 2026 max relations containing the same ideal: 127
  334. Thu Apr 23 18:25:42 2026 removing 7153758 relations and 5153758 ideals in 2000000 cliques
  335. Thu Apr 23 18:25:58 2026 commencing in-memory singleton removal
  336. Thu Apr 23 18:26:09 2026 begin with 317152505 relations and 260589600 unique ideals
  337. Thu Apr 23 18:26:36 2026 reduce to 317018897 relations and 255301364 ideals in 6 passes
  338. Thu Apr 23 18:26:36 2026 max relations containing the same ideal: 126
  339. Thu Apr 23 18:31:57 2026 removing 7115843 relations and 5115843 ideals in 2000000 cliques
  340. Thu Apr 23 18:32:14 2026 commencing in-memory singleton removal
  341. Thu Apr 23 18:32:23 2026 begin with 309903054 relations and 255301364 unique ideals
  342. Thu Apr 23 18:32:46 2026 reduce to 309768468 relations and 250050007 ideals in 6 passes
  343. Thu Apr 23 18:32:46 2026 max relations containing the same ideal: 123
  344. Thu Apr 23 18:38:03 2026 removing 7087393 relations and 5087393 ideals in 2000000 cliques
  345. Thu Apr 23 18:38:19 2026 commencing in-memory singleton removal
  346. Thu Apr 23 18:38:29 2026 begin with 302681075 relations and 250050007 unique ideals
  347. Thu Apr 23 18:38:53 2026 reduce to 302544869 relations and 244825485 ideals in 6 passes
  348. Thu Apr 23 18:38:53 2026 max relations containing the same ideal: 123
  349. Thu Apr 23 18:43:30 2026 removing 7058394 relations and 5058394 ideals in 2000000 cliques
  350. Thu Apr 23 18:43:44 2026 commencing in-memory singleton removal
  351. Thu Apr 23 18:43:54 2026 begin with 295486475 relations and 244825485 unique ideals
  352. Thu Apr 23 18:44:17 2026 reduce to 295348405 relations and 239628049 ideals in 6 passes
  353. Thu Apr 23 18:44:17 2026 max relations containing the same ideal: 120
  354. Thu Apr 23 18:49:13 2026 removing 7044047 relations and 5044047 ideals in 2000000 cliques
  355. Thu Apr 23 18:49:30 2026 commencing in-memory singleton removal
  356. Thu Apr 23 18:49:38 2026 begin with 288304358 relations and 239628049 unique ideals
  357. Thu Apr 23 18:50:03 2026 reduce to 288164249 relations and 234442837 ideals in 7 passes
  358. Thu Apr 23 18:50:03 2026 max relations containing the same ideal: 118
  359. Thu Apr 23 18:54:50 2026 removing 7017688 relations and 5017688 ideals in 2000000 cliques
  360. Thu Apr 23 18:55:09 2026 commencing in-memory singleton removal
  361. Thu Apr 23 18:55:18 2026 begin with 281146561 relations and 234442837 unique ideals
  362. Thu Apr 23 18:55:39 2026 reduce to 281003289 relations and 229280818 ideals in 6 passes
  363. Thu Apr 23 18:55:39 2026 max relations containing the same ideal: 115
  364. Thu Apr 23 19:00:45 2026 removing 7007107 relations and 5007107 ideals in 2000000 cliques
  365. Thu Apr 23 19:01:00 2026 commencing in-memory singleton removal
  366. Thu Apr 23 19:01:08 2026 begin with 273996182 relations and 229280818 unique ideals
  367. Thu Apr 23 19:01:27 2026 reduce to 273849797 relations and 224126208 ideals in 6 passes
  368. Thu Apr 23 19:01:27 2026 max relations containing the same ideal: 113
  369. Thu Apr 23 19:05:40 2026 removing 7000464 relations and 5000464 ideals in 2000000 cliques
  370. Thu Apr 23 19:05:57 2026 commencing in-memory singleton removal
  371. Thu Apr 23 19:06:05 2026 begin with 266849333 relations and 224126208 unique ideals
  372. Thu Apr 23 19:06:28 2026 reduce to 266700558 relations and 218975808 ideals in 7 passes
  373. Thu Apr 23 19:06:28 2026 max relations containing the same ideal: 112
  374. Thu Apr 23 19:11:12 2026 removing 6994281 relations and 4994281 ideals in 2000000 cliques
  375. Thu Apr 23 19:11:37 2026 commencing in-memory singleton removal
  376. Thu Apr 23 19:11:44 2026 begin with 259706277 relations and 218975808 unique ideals
  377. Thu Apr 23 19:12:02 2026 reduce to 259554110 relations and 213828117 ideals in 6 passes
  378. Thu Apr 23 19:12:02 2026 max relations containing the same ideal: 109
  379. Thu Apr 23 19:16:13 2026 removing 6991853 relations and 4991853 ideals in 2000000 cliques
  380. Thu Apr 23 19:16:26 2026 commencing in-memory singleton removal
  381. Thu Apr 23 19:16:33 2026 begin with 252562257 relations and 213828117 unique ideals
  382. Thu Apr 23 19:16:51 2026 reduce to 252407008 relations and 208679724 ideals in 6 passes
  383. Thu Apr 23 19:16:51 2026 max relations containing the same ideal: 107
  384. Thu Apr 23 19:21:07 2026 removing 6990637 relations and 4990637 ideals in 2000000 cliques
  385. Thu Apr 23 19:21:22 2026 commencing in-memory singleton removal
  386. Thu Apr 23 19:21:28 2026 begin with 245416371 relations and 208679724 unique ideals
  387. Thu Apr 23 19:21:46 2026 reduce to 245256308 relations and 203527654 ideals in 6 passes
  388. Thu Apr 23 19:21:46 2026 max relations containing the same ideal: 105
  389. Thu Apr 23 19:26:06 2026 removing 7001407 relations and 5001407 ideals in 2000000 cliques
  390. Thu Apr 23 19:26:21 2026 commencing in-memory singleton removal
  391. Thu Apr 23 19:26:27 2026 begin with 238254901 relations and 203527654 unique ideals
  392. Thu Apr 23 19:26:43 2026 reduce to 238090800 relations and 198360680 ideals in 6 passes
  393. Thu Apr 23 19:26:43 2026 max relations containing the same ideal: 104
  394. Thu Apr 23 19:30:50 2026 removing 7008439 relations and 5008439 ideals in 2000000 cliques
  395. Thu Apr 23 19:31:04 2026 commencing in-memory singleton removal
  396. Thu Apr 23 19:31:09 2026 begin with 231082361 relations and 198360680 unique ideals
  397. Thu Apr 23 19:31:26 2026 reduce to 230912271 relations and 193180634 ideals in 6 passes
  398. Thu Apr 23 19:31:26 2026 max relations containing the same ideal: 102
  399. Thu Apr 23 19:34:47 2026 removing 7020258 relations and 5020258 ideals in 2000000 cliques
  400. Thu Apr 23 19:34:58 2026 commencing in-memory singleton removal
  401. Thu Apr 23 19:35:04 2026 begin with 223892013 relations and 193180634 unique ideals
  402. Thu Apr 23 19:35:18 2026 reduce to 223716753 relations and 187983493 ideals in 6 passes
  403. Thu Apr 23 19:35:18 2026 max relations containing the same ideal: 99
  404. Thu Apr 23 19:38:28 2026 removing 7038477 relations and 5038477 ideals in 2000000 cliques
  405. Thu Apr 23 19:38:39 2026 commencing in-memory singleton removal
  406. Thu Apr 23 19:38:44 2026 begin with 216678276 relations and 187983493 unique ideals
  407. Thu Apr 23 19:38:59 2026 reduce to 216496682 relations and 182761694 ideals in 7 passes
  408. Thu Apr 23 19:38:59 2026 max relations containing the same ideal: 97
  409. Thu Apr 23 19:43:03 2026 removing 7057982 relations and 5057982 ideals in 2000000 cliques
  410. Thu Apr 23 19:43:17 2026 commencing in-memory singleton removal
  411. Thu Apr 23 19:43:23 2026 begin with 209438700 relations and 182761694 unique ideals
  412. Thu Apr 23 19:43:37 2026 reduce to 209251349 relations and 177514514 ideals in 6 passes
  413. Thu Apr 23 19:43:37 2026 max relations containing the same ideal: 95
  414. Thu Apr 23 19:47:16 2026 removing 7081873 relations and 5081873 ideals in 2000000 cliques
  415. Thu Apr 23 19:47:35 2026 commencing in-memory singleton removal
  416. Thu Apr 23 19:47:41 2026 begin with 202169476 relations and 177514514 unique ideals
  417. Thu Apr 23 19:47:56 2026 reduce to 201974172 relations and 172235435 ideals in 6 passes
  418. Thu Apr 23 19:47:56 2026 max relations containing the same ideal: 94
  419. Thu Apr 23 19:51:42 2026 removing 7113689 relations and 5113689 ideals in 2000000 cliques
  420. Thu Apr 23 19:51:54 2026 commencing in-memory singleton removal
  421. Thu Apr 23 19:51:59 2026 begin with 194860483 relations and 172235435 unique ideals
  422. Thu Apr 23 19:52:15 2026 reduce to 194657127 relations and 166916309 ideals in 7 passes
  423. Thu Apr 23 19:52:15 2026 max relations containing the same ideal: 92
  424. Thu Apr 23 19:55:15 2026 removing 7145587 relations and 5145587 ideals in 2000000 cliques
  425. Thu Apr 23 19:55:26 2026 commencing in-memory singleton removal
  426. Thu Apr 23 19:55:30 2026 begin with 187511540 relations and 166916309 unique ideals
  427. Thu Apr 23 19:55:42 2026 reduce to 187299910 relations and 161556906 ideals in 6 passes
  428. Thu Apr 23 19:55:42 2026 max relations containing the same ideal: 91
  429. Thu Apr 23 19:58:42 2026 removing 7184993 relations and 5184993 ideals in 2000000 cliques
  430. Thu Apr 23 19:58:54 2026 commencing in-memory singleton removal
  431. Thu Apr 23 19:58:59 2026 begin with 180114917 relations and 161556906 unique ideals
  432. Thu Apr 23 19:59:12 2026 reduce to 179893426 relations and 156148050 ideals in 6 passes
  433. Thu Apr 23 19:59:12 2026 max relations containing the same ideal: 88
  434. Thu Apr 23 20:02:17 2026 removing 7231702 relations and 5231702 ideals in 2000000 cliques
  435. Thu Apr 23 20:02:28 2026 commencing in-memory singleton removal
  436. Thu Apr 23 20:02:32 2026 begin with 172661724 relations and 156148050 unique ideals
  437. Thu Apr 23 20:02:45 2026 reduce to 172429384 relations and 150681437 ideals in 7 passes
  438. Thu Apr 23 20:02:45 2026 max relations containing the same ideal: 86
  439. Thu Apr 23 20:05:39 2026 removing 7285604 relations and 5285604 ideals in 2000000 cliques
  440. Thu Apr 23 20:05:49 2026 commencing in-memory singleton removal
  441. Thu Apr 23 20:05:54 2026 begin with 165143780 relations and 150681437 unique ideals
  442. Thu Apr 23 20:06:07 2026 reduce to 164897728 relations and 145146982 ideals in 7 passes
  443. Thu Apr 23 20:06:07 2026 max relations containing the same ideal: 84
  444. Thu Apr 23 20:09:02 2026 removing 7346517 relations and 5346517 ideals in 2000000 cliques
  445. Thu Apr 23 20:09:14 2026 commencing in-memory singleton removal
  446. Thu Apr 23 20:09:17 2026 begin with 157551211 relations and 145146982 unique ideals
  447. Thu Apr 23 20:09:28 2026 reduce to 157292016 relations and 139538236 ideals in 7 passes
  448. Thu Apr 23 20:09:28 2026 max relations containing the same ideal: 81
  449. Thu Apr 23 20:12:22 2026 removing 7411753 relations and 5411753 ideals in 2000000 cliques
  450. Thu Apr 23 20:12:34 2026 commencing in-memory singleton removal
  451. Thu Apr 23 20:12:38 2026 begin with 149880263 relations and 139538236 unique ideals
  452. Thu Apr 23 20:12:48 2026 reduce to 149603260 relations and 133846188 ideals in 6 passes
  453. Thu Apr 23 20:12:48 2026 max relations containing the same ideal: 78
  454. Thu Apr 23 20:15:21 2026 removing 7493961 relations and 5493961 ideals in 2000000 cliques
  455. Thu Apr 23 20:15:29 2026 commencing in-memory singleton removal
  456. Thu Apr 23 20:15:32 2026 begin with 142109299 relations and 133846188 unique ideals
  457. Thu Apr 23 20:15:43 2026 reduce to 141811649 relations and 128051014 ideals in 7 passes
  458. Thu Apr 23 20:15:43 2026 max relations containing the same ideal: 77
  459. Thu Apr 23 20:18:13 2026 removing 7578148 relations and 5578148 ideals in 2000000 cliques
  460. Thu Apr 23 20:18:22 2026 commencing in-memory singleton removal
  461. Thu Apr 23 20:18:25 2026 begin with 134233501 relations and 128051014 unique ideals
  462. Thu Apr 23 20:18:35 2026 reduce to 133911775 relations and 122146983 ideals in 8 passes
  463. Thu Apr 23 20:18:35 2026 max relations containing the same ideal: 75
  464. Thu Apr 23 20:20:38 2026 removing 7679181 relations and 5679181 ideals in 2000000 cliques
  465. Thu Apr 23 20:20:46 2026 commencing in-memory singleton removal
  466. Thu Apr 23 20:20:49 2026 begin with 126232594 relations and 122146983 unique ideals
  467. Thu Apr 23 20:20:57 2026 reduce to 125884080 relations and 116114790 ideals in 7 passes
  468. Thu Apr 23 20:20:57 2026 max relations containing the same ideal: 70
  469. Thu Apr 23 20:22:51 2026 removing 7792751 relations and 5792751 ideals in 2000000 cliques
  470. Thu Apr 23 20:22:58 2026 commencing in-memory singleton removal
  471. Thu Apr 23 20:23:01 2026 begin with 118091329 relations and 116114790 unique ideals
  472. Thu Apr 23 20:23:09 2026 reduce to 117708487 relations and 109934026 ideals in 7 passes
  473. Thu Apr 23 20:23:09 2026 max relations containing the same ideal: 66
  474. Thu Apr 23 20:25:10 2026 removing 7927911 relations and 5927911 ideals in 2000000 cliques
  475. Thu Apr 23 20:25:18 2026 commencing in-memory singleton removal
  476. Thu Apr 23 20:25:21 2026 begin with 109780576 relations and 109934026 unique ideals
  477. Thu Apr 23 20:25:29 2026 reduce to 109357039 relations and 103576325 ideals in 8 passes
  478. Thu Apr 23 20:25:29 2026 max relations containing the same ideal: 65
  479. Thu Apr 23 20:27:05 2026 removing 6297402 relations and 4823974 ideals in 1473428 cliques
  480. Thu Apr 23 20:27:12 2026 commencing in-memory singleton removal
  481. Thu Apr 23 20:27:15 2026 begin with 103059637 relations and 103576325 unique ideals
  482. Thu Apr 23 20:27:21 2026 reduce to 102776283 relations and 98465657 ideals in 7 passes
  483. Thu Apr 23 20:27:21 2026 max relations containing the same ideal: 62
  484. Thu Apr 23 20:29:35 2026 relations with 0 large ideals: 13914
  485. Thu Apr 23 20:29:35 2026 relations with 1 large ideals: 184300
  486. Thu Apr 23 20:29:35 2026 relations with 2 large ideals: 1939083
  487. Thu Apr 23 20:29:35 2026 relations with 3 large ideals: 8643189
  488. Thu Apr 23 20:29:35 2026 relations with 4 large ideals: 20531847
  489. Thu Apr 23 20:29:35 2026 relations with 5 large ideals: 28733589
  490. Thu Apr 23 20:29:35 2026 relations with 6 large ideals: 24681262
  491. Thu Apr 23 20:29:35 2026 relations with 7+ large ideals: 18049099
  492. Thu Apr 23 20:29:35 2026 commencing 2-way merge
  493. Thu Apr 23 20:32:09 2026 reduce to 63967730 relation sets and 59657104 unique ideals
  494. Thu Apr 23 20:32:09 2026 commencing full merge
  495. Thu Apr 23 21:25:26 2026 memory use: 7036.5 MB
  496. Thu Apr 23 21:25:44 2026 found 27413754 cycles, need 27151304
  497. Thu Apr 23 21:25:56 2026 weight of 27151304 cycles is about 3801302152 (140.00/cycle)
  498. Thu Apr 23 21:25:57 2026 distribution of cycle lengths:
  499. Thu Apr 23 21:25:57 2026 1 relations: 1262068
  500. Thu Apr 23 21:25:57 2026 2 relations: 1549579
  501. Thu Apr 23 21:25:57 2026 3 relations: 1711402
  502. Thu Apr 23 21:25:57 2026 4 relations: 1733806
  503. Thu Apr 23 21:25:57 2026 5 relations: 1780294
  504. Thu Apr 23 21:25:57 2026 6 relations: 1776101
  505. Thu Apr 23 21:25:57 2026 7 relations: 1755471
  506. Thu Apr 23 21:25:57 2026 8 relations: 1726960
  507. Thu Apr 23 21:25:57 2026 9 relations: 1658335
  508. Thu Apr 23 21:25:57 2026 10+ relations: 12197288
  509. Thu Apr 23 21:25:57 2026 heaviest cycle: 28 relations
  510. Thu Apr 23 21:26:14 2026 commencing cycle optimization
  511. Thu Apr 23 21:28:48 2026 start with 257284632 relations
  512. Thu Apr 23 21:49:38 2026 pruned 11687196 relations
  513. Thu Apr 23 21:49:38 2026 memory use: 6819.8 MB
  514. Thu Apr 23 21:49:38 2026 distribution of cycle lengths:
  515. Thu Apr 23 21:49:38 2026 1 relations: 1262068
  516. Thu Apr 23 21:49:38 2026 2 relations: 1590954
  517. Thu Apr 23 21:49:38 2026 3 relations: 1783582
  518. Thu Apr 23 21:49:38 2026 4 relations: 1805658
  519. Thu Apr 23 21:49:38 2026 5 relations: 1865857
  520. Thu Apr 23 21:49:38 2026 6 relations: 1861185
  521. Thu Apr 23 21:49:38 2026 7 relations: 1847939
  522. Thu Apr 23 21:49:38 2026 8 relations: 1812938
  523. Thu Apr 23 21:49:38 2026 9 relations: 1745518
  524. Thu Apr 23 21:49:38 2026 10+ relations: 11575605
  525. Thu Apr 23 21:49:38 2026 heaviest cycle: 28 relations
  526. Thu Apr 23 21:51:13 2026 RelProcTime: 35746
  527. Thu Apr 23 21:51:13 2026
  528. Thu Apr 23 21:51:13 2026 commencing linear algebra
  529. Thu Apr 23 21:51:13 2026 using VBITS=256
  530. Thu Apr 23 21:51:13 2026 stopping after matrix build
  531. Thu Apr 23 21:51:13 2026 initialized process (0,0) of 1 x 1 grid
  532. Thu Apr 23 21:51:19 2026 read 27151304 cycles
  533. Thu Apr 23 21:53:20 2026 cycles contain 100368183 unique relations
  534. Thu Apr 23 22:17:45 2026 read 100368183 relations
  535. Thu Apr 23 22:18:07 2026 using 20 quadratic characters above 4294917295
  536. Thu Apr 23 22:18:23 2026 building initial matrix
  537. Thu Apr 23 23:18:29 2026 memory use: 14133.4 MB
  538. Thu Apr 23 23:19:14 2026 read 27151304 cycles
  539. Thu Apr 23 23:19:26 2026 matrix is 27151124 x 27151304 (14670.5 MB) with weight 4401782425 (162.12/col)
  540. Thu Apr 23 23:19:26 2026 sparse part has weight 3519962268 (129.64/col)
  541. Thu Apr 23 23:47:09 2026 filtering completed in 2 passes
  542. Thu Apr 23 23:47:24 2026 matrix is 27149725 x 27149903 (14670.3 MB) with weight 4401707540 (162.13/col)
  543. Thu Apr 23 23:47:24 2026 sparse part has weight 3519935141 (129.65/col)
  544. Thu Apr 23 23:52:53 2026 BLanczosTime: 7300
  545. Thu Apr 23 23:52:53 2026 elapsed time 11:57:28
  546. Fri Apr 24 00:02:01 2026
  547. Fri Apr 24 00:02:01 2026
  548. Fri Apr 24 00:02:01 2026 Msieve v. 1.54 (SVN Unversioned directory)
  549. Fri Apr 24 00:02:01 2026 random seeds: 1d81c90f 23628526
  550. Fri Apr 24 00:02:01 2026 MPI process 0 of 1
  551. Fri Apr 24 00:02:01 2026 Using 64 OpenMP threads
  552. Fri Apr 24 00:02:01 2026 factoring 51346669517076332637485759085461588257181031820979839199428277004017757177850028475520332570084904840161192495936540147905576171836017899658368504808318444604788477235220130930198387098238277 (191 digits)
  553. Fri Apr 24 00:02:02 2026 searching for 15-digit factors
  554. Fri Apr 24 00:02:02 2026 commencing number field sieve (191-digit input)
  555. Fri Apr 24 00:02:02 2026 R0: -13174646894532478167948823713309077252
  556. Fri Apr 24 00:02:02 2026 R1: 862642991192825818628629
  557. Fri Apr 24 00:02:02 2026 A0: 12131405517743760168264491868621920975621287860
  558. Fri Apr 24 00:02:02 2026 A1: 353332884148921118276974575674186098624
  559. Fri Apr 24 00:02:02 2026 A2: -5220055292853431609364914231815
  560. Fri Apr 24 00:02:02 2026 A3: -52624947734570795183763
  561. Fri Apr 24 00:02:02 2026 A4: 315748819938636
  562. Fri Apr 24 00:02:02 2026 A5: 517440
  563. Fri Apr 24 00:02:02 2026 skew 150061363.98, size 1.171e-18, alpha -7.445, combined = 1.938e-14 rroots = 5
  564. Fri Apr 24 00:02:02 2026
  565. Fri Apr 24 00:02:02 2026 commencing linear algebra
  566. Fri Apr 24 00:02:02 2026 using VBITS=256
  567. Fri Apr 24 00:02:02 2026 skipping matrix build
  568. Fri Apr 24 00:02:02 2026 initialized process (0,0) of 1 x 1 grid
  569. Fri Apr 24 00:02:28 2026 matrix starts at (0, 0)
  570. Fri Apr 24 00:02:45 2026 matrix is 27149725 x 27149903 (14670.3 MB) with weight 4401707540 (162.13/col)
  571. Fri Apr 24 00:02:45 2026 sparse part has weight 3519935141 (129.65/col)
  572. Fri Apr 24 00:02:45 2026 saving the first 240 matrix rows for later
  573. Fri Apr 24 00:03:01 2026 matrix includes 256 packed rows
  574. Fri Apr 24 00:03:21 2026 matrix is 27149485 x 27149903 (13267.5 MB) with weight 3235842290 (119.18/col)
  575. Fri Apr 24 00:03:21 2026 sparse part has weight 3043609049 (112.10/col)
  576. Fri Apr 24 00:03:21 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  577. Fri Apr 24 00:04:38 2026 commencing Lanczos iteration (64 threads)
  578. Fri Apr 24 00:04:38 2026 memory use: 18479.7 MB
  579. Fri Apr 24 00:09:04 2026 linear algebra at 0.1%, ETA 64h11m
  580. Fri Apr 24 00:15:24 2026 checking every 10000 dimensions, checkpointing every 440000 dimensions
  581. Sun Apr 26 15:38:17 2026 lanczos halted after 106372 iterations (dim = 27149485)
  582. Sun Apr 26 15:39:41 2026 recovered 31 nontrivial dependencies
  583. Sun Apr 26 15:39:45 2026 BLanczosTime: 229063
  584. Sun Apr 26 15:39:45 2026
  585. Sun Apr 26 15:39:45 2026 commencing square root phase
  586. Sun Apr 26 15:39:45 2026 handling dependencies 1 to 64
  587. Sun Apr 26 15:39:45 2026 reading relations for dependency 1
  588. Sun Apr 26 15:39:48 2026 read 13570849 cycles
  589. Sun Apr 26 15:40:14 2026 cycles contain 50179930 unique relations
  590. Sun Apr 26 16:01:24 2026 read 50179930 relations
  591. Sun Apr 26 16:10:08 2026 multiplying 50179930 relations
  592. Sun Apr 26 16:21:00 2026 multiply complete, coefficients have about 3034.13 million bits
  593. Sun Apr 26 16:21:15 2026 initial square root is modulo 6384439
  594. Sun Apr 26 17:01:00 2026 sqrtTime: 4875
  595. Sun Apr 26 17:01:00 2026 p69 factor: 157786459833812004563942349662419598990689683751044459694650128846513
  596. Sun Apr 26 17:01:00 2026 p123 factor: 325418730930125558353417257169590815894192336802891418473028016882665133991261643203258774312146915353495356542534390383829
  597. Sun Apr 26 17:01:00 2026 elapsed time 64:58:59
  598.  
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