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  1. Thu Dec 4 14:49:00 2025
  2. Thu Dec 4 14:49:00 2025
  3. Thu Dec 4 14:49:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Dec 4 14:49:00 2025 random seeds: 578229c8 7f875571
  5. Thu Dec 4 14:49:00 2025 Using 8 OpenMP threads
  6. Thu Dec 4 14:49:00 2025 factoring 506940629550784676976340160141369215096659770870315066468370487808084562957530342546141674824412076083279946722580090156073702682166104845207192529798705154637635470948493167386645937730844063737428110817041390361 (213 digits)
  7. Thu Dec 4 14:49:00 2025 searching for 15-digit factors
  8. Thu Dec 4 14:49:01 2025 commencing number field sieve (213-digit input)
  9. Thu Dec 4 14:49:01 2025 R0: 5482801135979276797087045261565926930820588431
  10. Thu Dec 4 14:49:01 2025 R1: -1
  11. Thu Dec 4 14:49:01 2025 A0: 1
  12. Thu Dec 4 14:49:01 2025 A1: 1
  13. Thu Dec 4 14:49:01 2025 A2: 1
  14. Thu Dec 4 14:49:01 2025 A3: 1
  15. Thu Dec 4 14:49:01 2025 A4: 1
  16. Thu Dec 4 14:49:01 2025 A5: 1
  17. Thu Dec 4 14:49:01 2025 A6: 1
  18. Thu Dec 4 14:49:01 2025 skew 1.38, size 1.662e-13, alpha 2.428, combined = 2.971e-14 rroots = 0
  19. Thu Dec 4 14:49:01 2025
  20. Thu Dec 4 14:49:01 2025 commencing relation filtering
  21. Thu Dec 4 14:49:01 2025 estimated available RAM is 78540.1 MB
  22. Thu Dec 4 14:49:01 2025 commencing duplicate removal, pass 1
  23. Thu Dec 4 14:49:20 2025 error -1 reading relation 7963991
  24. Thu Dec 4 14:49:49 2025 error -1 reading relation 20417432
  25. Thu Dec 4 14:49:58 2025 error -1 reading relation 24579378
  26. Thu Dec 4 14:50:08 2025 error -1 reading relation 29009653
  27. Thu Dec 4 14:50:41 2025 error -1 reading relation 43585542
  28. Thu Dec 4 14:50:58 2025 error -1 reading relation 51203176
  29. Thu Dec 4 14:51:14 2025 error -1 reading relation 58044393
  30. Thu Dec 4 14:51:24 2025 error -1 reading relation 62505625
  31. Thu Dec 4 14:52:13 2025 error -1 reading relation 84006422
  32. Thu Dec 4 14:52:22 2025 error -1 reading relation 88238653
  33. Thu Dec 4 14:52:50 2025 error -1 reading relation 100590943
  34. Thu Dec 4 14:53:21 2025 error -1 reading relation 114739940
  35. Thu Dec 4 14:53:47 2025 error -1 reading relation 126861248
  36. Thu Dec 4 14:54:05 2025 error -1 reading relation 135084453
  37. Thu Dec 4 14:54:07 2025 error -1 reading relation 136330198
  38. Thu Dec 4 14:54:07 2025 error -1 reading relation 136342173
  39. Thu Dec 4 14:54:07 2025 error -1 reading relation 136615031
  40. Thu Dec 4 14:54:09 2025 error -1 reading relation 137264194
  41. Thu Dec 4 14:54:09 2025 error -1 reading relation 137521141
  42. Thu Dec 4 14:54:25 2025 error -5 reading relation 144077104
  43. Thu Dec 4 14:54:37 2025 error -1 reading relation 149133136
  44. Thu Dec 4 14:54:39 2025 error -1 reading relation 150371196
  45. Thu Dec 4 14:54:55 2025 error -1 reading relation 156879370
  46. Thu Dec 4 14:54:56 2025 error -1 reading relation 157492569
  47. Thu Dec 4 14:55:02 2025 error -5 reading relation 159991556
  48. Thu Dec 4 14:55:13 2025 error -1 reading relation 165352093
  49. Thu Dec 4 14:55:15 2025 error -1 reading relation 166238694
  50. Thu Dec 4 14:55:16 2025 error -1 reading relation 166908331
  51. Thu Dec 4 14:55:17 2025 error -1 reading relation 167127631
  52. Thu Dec 4 14:55:21 2025 error -1 reading relation 169046020
  53. Thu Dec 4 14:55:43 2025 error -1 reading relation 179264647
  54. Thu Dec 4 14:55:45 2025 error -1 reading relation 180337963
  55. Thu Dec 4 14:55:50 2025 error -1 reading relation 182443446
  56. Thu Dec 4 14:56:01 2025 error -1 reading relation 187643231
  57. Thu Dec 4 14:56:33 2025 error -1 reading relation 201960376
  58. Thu Dec 4 14:56:36 2025 error -1 reading relation 203325561
  59. Thu Dec 4 14:56:37 2025 error -1 reading relation 203845937
  60. Thu Dec 4 14:56:42 2025 error -1 reading relation 206140100
  61. Thu Dec 4 14:56:54 2025 error -1 reading relation 211935680
  62. Thu Dec 4 14:57:22 2025 error -1 reading relation 224618601
  63. Thu Dec 4 14:57:34 2025 error -1 reading relation 229990231
  64. Thu Dec 4 14:57:47 2025 error -1 reading relation 236121449
  65. Thu Dec 4 14:57:57 2025 error -1 reading relation 240710938
  66. Thu Dec 4 14:58:03 2025 error -1 reading relation 243276033
  67. Thu Dec 4 14:58:03 2025 error -1 reading relation 243279084
  68. Thu Dec 4 14:58:03 2025 error -1 reading relation 243345410
  69. Thu Dec 4 14:58:11 2025 error -1 reading relation 247060890
  70. Thu Dec 4 14:58:15 2025 error -1 reading relation 248993707
  71. Thu Dec 4 14:58:39 2025 error -1 reading relation 260011830
  72. Thu Dec 4 14:58:39 2025 error -1 reading relation 260014900
  73. Thu Dec 4 14:58:43 2025 error -1 reading relation 261928201
  74. Thu Dec 4 14:58:45 2025 error -1 reading relation 262971465
  75. Thu Dec 4 14:58:59 2025 error -1 reading relation 269203530
  76. Thu Dec 4 14:59:10 2025 error -1 reading relation 274004942
  77. Thu Dec 4 14:59:26 2025 error -1 reading relation 281384554
  78. Thu Dec 4 14:59:34 2025 error -1 reading relation 285117537
  79. Thu Dec 4 14:59:35 2025 error -1 reading relation 285636716
  80. Thu Dec 4 15:00:06 2025 error -1 reading relation 299834638
  81. Thu Dec 4 15:00:10 2025 error -1 reading relation 301382915
  82. Thu Dec 4 15:00:48 2025 error -1 reading relation 318905322
  83. Thu Dec 4 15:01:10 2025 error -1 reading relation 328972375
  84. Thu Dec 4 15:01:13 2025 error -1 reading relation 330438456
  85. Thu Dec 4 15:01:13 2025 error -1 reading relation 330442987
  86. Thu Dec 4 15:01:13 2025 error -1 reading relation 330445156
  87. Thu Dec 4 15:01:13 2025 error -1 reading relation 330566851
  88. Thu Dec 4 15:01:30 2025 error -1 reading relation 338387698
  89. Thu Dec 4 15:01:33 2025 error -1 reading relation 339972725
  90. Thu Dec 4 15:01:35 2025 error -1 reading relation 340501932
  91. Thu Dec 4 15:01:35 2025 error -1 reading relation 340503732
  92. Thu Dec 4 15:01:46 2025 error -1 reading relation 345757334
  93. Thu Dec 4 15:01:47 2025 error -1 reading relation 346087901
  94. Thu Dec 4 15:02:27 2025 error -1 reading relation 364092488
  95. Thu Dec 4 15:02:28 2025 error -1 reading relation 364585351
  96. Thu Dec 4 15:02:41 2025 error -1 reading relation 370702112
  97. Thu Dec 4 15:02:54 2025 error -1 reading relation 376477366
  98. Thu Dec 4 15:03:09 2025 error -1 reading relation 383306525
  99. Thu Dec 4 15:03:09 2025 error -1 reading relation 383562101
  100. Thu Dec 4 15:03:17 2025 error -1 reading relation 387107443
  101. Thu Dec 4 15:03:23 2025 error -1 reading relation 389724913
  102. Thu Dec 4 15:03:28 2025 error -1 reading relation 391788701
  103. Thu Dec 4 15:03:33 2025 error -1 reading relation 394071382
  104. Thu Dec 4 15:04:18 2025 error -1 reading relation 414623687
  105. Thu Dec 4 15:04:38 2025 error -1 reading relation 423459005
  106. Thu Dec 4 15:04:50 2025 error -1 reading relation 428751457
  107. Thu Dec 4 15:04:53 2025 error -1 reading relation 430076457
  108. Thu Dec 4 15:04:57 2025 error -1 reading relation 431858286
  109. Thu Dec 4 15:05:19 2025 error -1 reading relation 441551341
  110. Thu Dec 4 15:05:31 2025 error -1 reading relation 446908755
  111. Thu Dec 4 15:05:36 2025 error -1 reading relation 448795244
  112. Thu Dec 4 15:05:59 2025 error -1 reading relation 459297023
  113. Thu Dec 4 15:06:19 2025 error -1 reading relation 468086685
  114. Thu Dec 4 15:06:19 2025 error -1 reading relation 468091581
  115. Thu Dec 4 15:06:40 2025 error -1 reading relation 476992973
  116. Thu Dec 4 15:06:40 2025 error -1 reading relation 477069989
  117. Thu Dec 4 15:06:48 2025 error -1 reading relation 480707597
  118. Thu Dec 4 15:07:00 2025 error -1 reading relation 485918926
  119. Thu Dec 4 15:07:13 2025 error -1 reading relation 491794402
  120. Thu Dec 4 15:07:15 2025 error -1 reading relation 492501647
  121. Thu Dec 4 15:07:16 2025 error -1 reading relation 493465040
  122. Thu Dec 4 15:07:41 2025 error -1 reading relation 503809870
  123. Thu Dec 4 15:07:45 2025 error -1 reading relation 505189334
  124. Thu Dec 4 15:07:46 2025 error -1 reading relation 505378248
  125. Thu Dec 4 15:07:49 2025 error -1 reading relation 507273482
  126. Thu Dec 4 15:07:55 2025 error -1 reading relation 509966506
  127. Thu Dec 4 15:07:57 2025 error -1 reading relation 510703379
  128. Thu Dec 4 15:08:30 2025 error -1 reading relation 525405765
  129. Thu Dec 4 15:08:36 2025 error -1 reading relation 528334867
  130. Thu Dec 4 15:08:39 2025 error -1 reading relation 529683795
  131. Thu Dec 4 15:08:46 2025 error -1 reading relation 532725513
  132. Thu Dec 4 15:08:50 2025 error -1 reading relation 534221803
  133. Thu Dec 4 15:08:52 2025 error -1 reading relation 535606259
  134. Thu Dec 4 15:09:02 2025 error -1 reading relation 540048737
  135. Thu Dec 4 15:09:07 2025 error -1 reading relation 542080213
  136. Thu Dec 4 15:09:27 2025 error -1 reading relation 551577646
  137. Thu Dec 4 15:09:34 2025 error -15 reading relation 554283038
  138. Thu Dec 4 15:09:50 2025 error -1 reading relation 561740273
  139. Thu Dec 4 15:10:53 2025 error -1 reading relation 590040802
  140. Thu Dec 4 15:11:06 2025 error -1 reading relation 595722515
  141. Thu Dec 4 15:11:11 2025 error -1 reading relation 597309804
  142. Thu Dec 4 15:11:12 2025 error -1 reading relation 597958361
  143. Thu Dec 4 15:11:28 2025 error -1 reading relation 603217872
  144. Thu Dec 4 15:11:29 2025 error -1 reading relation 603965046
  145. Thu Dec 4 15:11:29 2025 error -1 reading relation 603970283
  146. Thu Dec 4 15:11:29 2025 error -1 reading relation 603971061
  147. Thu Dec 4 15:11:36 2025 error -1 reading relation 606328667
  148. Thu Dec 4 15:12:01 2025 error -1 reading relation 614693343
  149. Thu Dec 4 15:12:04 2025 error -1 reading relation 615739314
  150. Thu Dec 4 15:12:05 2025 error -1 reading relation 616036098
  151. Thu Dec 4 15:12:26 2025 error -1 reading relation 623615486
  152. Thu Dec 4 15:12:28 2025 error -1 reading relation 624398217
  153. Thu Dec 4 15:12:33 2025 error -1 reading relation 626778043
  154. Thu Dec 4 15:12:34 2025 error -1 reading relation 627085448
  155. Thu Dec 4 15:12:41 2025 error -1 reading relation 629287718
  156. Thu Dec 4 15:12:47 2025 error -1 reading relation 631874153
  157. Thu Dec 4 15:12:59 2025 error -1 reading relation 637061184
  158. Thu Dec 4 15:13:19 2025 error -1 reading relation 646203424
  159. Thu Dec 4 15:13:20 2025 error -1 reading relation 646834842
  160. Thu Dec 4 15:13:50 2025 error -1 reading relation 659479325
  161. Thu Dec 4 15:14:19 2025 error -1 reading relation 669215589
  162. Thu Dec 4 15:14:26 2025 error -1 reading relation 672373041
  163. Thu Dec 4 15:14:30 2025 error -1 reading relation 674197799
  164. Thu Dec 4 15:14:30 2025 error -1 reading relation 674320271
  165. Thu Dec 4 15:14:55 2025 error -1 reading relation 685969152
  166. Thu Dec 4 15:14:55 2025 skipped 3563 relations with b > 2^32
  167. Thu Dec 4 15:14:55 2025 skipped 1 relations with composite factors
  168. Thu Dec 4 15:14:55 2025 skipped 1512 malformed relations
  169. Thu Dec 4 15:14:55 2025 found 139570897 hash collisions in 686144100 relations
  170. Thu Dec 4 15:14:59 2025 added 2438534 free relations
  171. Thu Dec 4 15:14:59 2025 commencing duplicate removal, pass 2
  172. Thu Dec 4 15:21:23 2025 found 148510740 duplicates and 540071894 unique relations
  173. Thu Dec 4 15:21:23 2025 memory use: 3411.0 MB
  174. Thu Dec 4 15:21:24 2025 reading ideals above 318046208
  175. Thu Dec 4 15:21:24 2025 commencing singleton removal, initial pass
  176. Thu Dec 4 15:47:14 2025 memory use: 11024.0 MB
  177. Thu Dec 4 15:47:15 2025 reading all ideals from disk
  178. Thu Dec 4 15:47:28 2025 memory use: 13984.4 MB
  179. Thu Dec 4 15:47:47 2025 commencing in-memory singleton removal
  180. Thu Dec 4 15:47:51 2025 begin with 540071894 relations and 453545026 unique ideals
  181. Thu Dec 4 15:48:36 2025 reduce to 354575902 relations and 250107586 ideals in 15 passes
  182. Thu Dec 4 15:48:36 2025 max relations containing the same ideal: 29
  183. Thu Dec 4 15:48:44 2025 reading ideals above 720000
  184. Thu Dec 4 15:48:45 2025 commencing singleton removal, initial pass
  185. Thu Dec 4 16:50:29 2025 memory use: 6024.0 MB
  186. Thu Dec 4 16:50:29 2025 reading all ideals from disk
  187. Thu Dec 4 16:51:29 2025 memory use: 17855.1 MB
  188. Thu Dec 4 16:52:12 2025 keeping 282641762 ideals with weight <= 200, target excess is 1814735
  189. Thu Dec 4 16:53:04 2025 commencing in-memory singleton removal
  190. Thu Dec 4 16:53:12 2025 begin with 354575902 relations and 282641762 unique ideals
  191. Thu Dec 4 16:54:02 2025 reduce to 354574272 relations and 282640132 ideals in 7 passes
  192. Thu Dec 4 16:54:02 2025 max relations containing the same ideal: 200
  193. Thu Dec 4 16:56:59 2025 removing 13902026 relations and 11902026 ideals in 2000000 cliques
  194. Thu Dec 4 16:57:07 2025 commencing in-memory singleton removal
  195. Thu Dec 4 16:57:15 2025 begin with 340672246 relations and 282640132 unique ideals
  196. Thu Dec 4 16:58:09 2025 reduce to 340251756 relations and 270314189 ideals in 8 passes
  197. Thu Dec 4 16:58:09 2025 max relations containing the same ideal: 200
  198. Thu Dec 4 17:00:54 2025 removing 10480621 relations and 8480621 ideals in 2000000 cliques
  199. Thu Dec 4 17:01:02 2025 commencing in-memory singleton removal
  200. Thu Dec 4 17:01:09 2025 begin with 329771135 relations and 270314189 unique ideals
  201. Thu Dec 4 17:02:00 2025 reduce to 329508485 relations and 261569091 ideals in 7 passes
  202. Thu Dec 4 17:02:00 2025 max relations containing the same ideal: 199
  203. Thu Dec 4 17:04:41 2025 removing 9392342 relations and 7392342 ideals in 2000000 cliques
  204. Thu Dec 4 17:04:48 2025 commencing in-memory singleton removal
  205. Thu Dec 4 17:04:56 2025 begin with 320116143 relations and 261569091 unique ideals
  206. Thu Dec 4 17:05:47 2025 reduce to 319894336 relations and 253953455 ideals in 8 passes
  207. Thu Dec 4 17:05:47 2025 max relations containing the same ideal: 196
  208. Thu Dec 4 17:08:21 2025 removing 8782283 relations and 6782283 ideals in 2000000 cliques
  209. Thu Dec 4 17:08:29 2025 commencing in-memory singleton removal
  210. Thu Dec 4 17:08:36 2025 begin with 311112053 relations and 253953455 unique ideals
  211. Thu Dec 4 17:09:21 2025 reduce to 310909618 relations and 246967489 ideals in 7 passes
  212. Thu Dec 4 17:09:21 2025 max relations containing the same ideal: 193
  213. Thu Dec 4 17:11:56 2025 removing 8368180 relations and 6368180 ideals in 2000000 cliques
  214. Thu Dec 4 17:12:02 2025 commencing in-memory singleton removal
  215. Thu Dec 4 17:12:09 2025 begin with 302541438 relations and 246967489 unique ideals
  216. Thu Dec 4 17:12:52 2025 reduce to 302351576 relations and 240408190 ideals in 7 passes
  217. Thu Dec 4 17:12:52 2025 max relations containing the same ideal: 191
  218. Thu Dec 4 17:15:22 2025 removing 8066618 relations and 6066618 ideals in 2000000 cliques
  219. Thu Dec 4 17:15:29 2025 commencing in-memory singleton removal
  220. Thu Dec 4 17:15:34 2025 begin with 294284958 relations and 240408190 unique ideals
  221. Thu Dec 4 17:16:13 2025 reduce to 294102905 relations and 234158325 ideals in 7 passes
  222. Thu Dec 4 17:16:13 2025 max relations containing the same ideal: 188
  223. Thu Dec 4 17:18:39 2025 removing 7842865 relations and 5842865 ideals in 2000000 cliques
  224. Thu Dec 4 17:18:44 2025 commencing in-memory singleton removal
  225. Thu Dec 4 17:18:50 2025 begin with 286260040 relations and 234158325 unique ideals
  226. Thu Dec 4 17:19:23 2025 reduce to 286083665 relations and 228137840 ideals in 6 passes
  227. Thu Dec 4 17:19:23 2025 max relations containing the same ideal: 186
  228. Thu Dec 4 17:21:51 2025 removing 7666696 relations and 5666696 ideals in 2000000 cliques
  229. Thu Dec 4 17:21:59 2025 commencing in-memory singleton removal
  230. Thu Dec 4 17:22:04 2025 begin with 278416969 relations and 228137840 unique ideals
  231. Thu Dec 4 17:22:45 2025 reduce to 278243193 relations and 222296179 ideals in 7 passes
  232. Thu Dec 4 17:22:45 2025 max relations containing the same ideal: 183
  233. Thu Dec 4 17:25:02 2025 removing 7523842 relations and 5523842 ideals in 2000000 cliques
  234. Thu Dec 4 17:25:09 2025 commencing in-memory singleton removal
  235. Thu Dec 4 17:25:14 2025 begin with 270719351 relations and 222296179 unique ideals
  236. Thu Dec 4 17:25:45 2025 reduce to 270548663 relations and 216600408 ideals in 6 passes
  237. Thu Dec 4 17:25:45 2025 max relations containing the same ideal: 179
  238. Thu Dec 4 17:28:05 2025 removing 7409970 relations and 5409970 ideals in 2000000 cliques
  239. Thu Dec 4 17:28:10 2025 commencing in-memory singleton removal
  240. Thu Dec 4 17:28:17 2025 begin with 263138693 relations and 216600408 unique ideals
  241. Thu Dec 4 17:28:49 2025 reduce to 262968788 relations and 211019318 ideals in 6 passes
  242. Thu Dec 4 17:28:49 2025 max relations containing the same ideal: 177
  243. Thu Dec 4 17:31:11 2025 removing 7314407 relations and 5314407 ideals in 2000000 cliques
  244. Thu Dec 4 17:31:15 2025 commencing in-memory singleton removal
  245. Thu Dec 4 17:31:21 2025 begin with 255654381 relations and 211019318 unique ideals
  246. Thu Dec 4 17:31:50 2025 reduce to 255484568 relations and 205533847 ideals in 6 passes
  247. Thu Dec 4 17:31:50 2025 max relations containing the same ideal: 175
  248. Thu Dec 4 17:34:04 2025 removing 7238797 relations and 5238797 ideals in 2000000 cliques
  249. Thu Dec 4 17:34:11 2025 commencing in-memory singleton removal
  250. Thu Dec 4 17:34:16 2025 begin with 248245771 relations and 205533847 unique ideals
  251. Thu Dec 4 17:34:46 2025 reduce to 248074158 relations and 200122122 ideals in 6 passes
  252. Thu Dec 4 17:34:46 2025 max relations containing the same ideal: 173
  253. Thu Dec 4 17:36:55 2025 removing 7176310 relations and 5176310 ideals in 2000000 cliques
  254. Thu Dec 4 17:37:01 2025 commencing in-memory singleton removal
  255. Thu Dec 4 17:37:07 2025 begin with 240897848 relations and 200122122 unique ideals
  256. Thu Dec 4 17:37:35 2025 reduce to 240724584 relations and 194771195 ideals in 6 passes
  257. Thu Dec 4 17:37:35 2025 max relations containing the same ideal: 170
  258. Thu Dec 4 17:39:40 2025 removing 7123141 relations and 5123141 ideals in 2000000 cliques
  259. Thu Dec 4 17:39:45 2025 commencing in-memory singleton removal
  260. Thu Dec 4 17:39:51 2025 begin with 233601443 relations and 194771195 unique ideals
  261. Thu Dec 4 17:40:19 2025 reduce to 233427009 relations and 189472225 ideals in 6 passes
  262. Thu Dec 4 17:40:19 2025 max relations containing the same ideal: 167
  263. Thu Dec 4 17:42:25 2025 removing 7083432 relations and 5083432 ideals in 2000000 cliques
  264. Thu Dec 4 17:42:31 2025 commencing in-memory singleton removal
  265. Thu Dec 4 17:42:36 2025 begin with 226343577 relations and 189472225 unique ideals
  266. Thu Dec 4 17:43:02 2025 reduce to 226167697 relations and 184211455 ideals in 6 passes
  267. Thu Dec 4 17:43:02 2025 max relations containing the same ideal: 165
  268. Thu Dec 4 17:45:01 2025 removing 7046367 relations and 5046367 ideals in 2000000 cliques
  269. Thu Dec 4 17:45:06 2025 commencing in-memory singleton removal
  270. Thu Dec 4 17:45:11 2025 begin with 219121330 relations and 184211455 unique ideals
  271. Thu Dec 4 17:45:40 2025 reduce to 218941546 relations and 178983701 ideals in 7 passes
  272. Thu Dec 4 17:45:40 2025 max relations containing the same ideal: 161
  273. Thu Dec 4 17:47:35 2025 removing 7019908 relations and 5019908 ideals in 2000000 cliques
  274. Thu Dec 4 17:47:40 2025 commencing in-memory singleton removal
  275. Thu Dec 4 17:47:45 2025 begin with 211921638 relations and 178983701 unique ideals
  276. Thu Dec 4 17:48:16 2025 reduce to 211738181 relations and 173778678 ideals in 7 passes
  277. Thu Dec 4 17:48:16 2025 max relations containing the same ideal: 155
  278. Thu Dec 4 17:50:17 2025 removing 6999496 relations and 4999496 ideals in 2000000 cliques
  279. Thu Dec 4 17:50:23 2025 commencing in-memory singleton removal
  280. Thu Dec 4 17:50:28 2025 begin with 204738685 relations and 173778678 unique ideals
  281. Thu Dec 4 17:50:58 2025 reduce to 204551687 relations and 168590453 ideals in 7 passes
  282. Thu Dec 4 17:50:58 2025 max relations containing the same ideal: 152
  283. Thu Dec 4 17:53:04 2025 removing 6986005 relations and 4986005 ideals in 2000000 cliques
  284. Thu Dec 4 17:53:10 2025 commencing in-memory singleton removal
  285. Thu Dec 4 17:53:15 2025 begin with 197565682 relations and 168590453 unique ideals
  286. Thu Dec 4 17:53:41 2025 reduce to 197373566 relations and 163410466 ideals in 6 passes
  287. Thu Dec 4 17:53:41 2025 max relations containing the same ideal: 148
  288. Thu Dec 4 17:55:39 2025 removing 6979800 relations and 4979800 ideals in 2000000 cliques
  289. Thu Dec 4 17:55:44 2025 commencing in-memory singleton removal
  290. Thu Dec 4 17:55:48 2025 begin with 190393766 relations and 163410466 unique ideals
  291. Thu Dec 4 17:56:19 2025 reduce to 190195342 relations and 158230297 ideals in 7 passes
  292. Thu Dec 4 17:56:19 2025 max relations containing the same ideal: 146
  293. Thu Dec 4 17:58:12 2025 removing 6979432 relations and 4979432 ideals in 2000000 cliques
  294. Thu Dec 4 17:58:17 2025 commencing in-memory singleton removal
  295. Thu Dec 4 17:58:21 2025 begin with 183215910 relations and 158230297 unique ideals
  296. Thu Dec 4 17:58:49 2025 reduce to 183012220 relations and 153045030 ideals in 7 passes
  297. Thu Dec 4 17:58:49 2025 max relations containing the same ideal: 146
  298. Thu Dec 4 18:00:34 2025 removing 6981680 relations and 4981680 ideals in 2000000 cliques
  299. Thu Dec 4 18:00:39 2025 commencing in-memory singleton removal
  300. Thu Dec 4 18:00:43 2025 begin with 176030540 relations and 153045030 unique ideals
  301. Thu Dec 4 18:01:11 2025 reduce to 175820710 relations and 147851258 ideals in 7 passes
  302. Thu Dec 4 18:01:11 2025 max relations containing the same ideal: 141
  303. Thu Dec 4 18:03:09 2025 removing 6989697 relations and 4989697 ideals in 2000000 cliques
  304. Thu Dec 4 18:03:14 2025 commencing in-memory singleton removal
  305. Thu Dec 4 18:03:19 2025 begin with 168831013 relations and 147851258 unique ideals
  306. Thu Dec 4 18:03:42 2025 reduce to 168612772 relations and 142640898 ideals in 6 passes
  307. Thu Dec 4 18:03:42 2025 max relations containing the same ideal: 132
  308. Thu Dec 4 18:05:22 2025 removing 7000915 relations and 5000915 ideals in 2000000 cliques
  309. Thu Dec 4 18:05:26 2025 commencing in-memory singleton removal
  310. Thu Dec 4 18:05:30 2025 begin with 161611857 relations and 142640898 unique ideals
  311. Thu Dec 4 18:05:50 2025 reduce to 161386006 relations and 137411511 ideals in 6 passes
  312. Thu Dec 4 18:05:50 2025 max relations containing the same ideal: 130
  313. Thu Dec 4 18:07:23 2025 removing 7022230 relations and 5022230 ideals in 2000000 cliques
  314. Thu Dec 4 18:07:28 2025 commencing in-memory singleton removal
  315. Thu Dec 4 18:07:32 2025 begin with 154363776 relations and 137411511 unique ideals
  316. Thu Dec 4 18:07:52 2025 reduce to 154126691 relations and 132149361 ideals in 6 passes
  317. Thu Dec 4 18:07:52 2025 max relations containing the same ideal: 129
  318. Thu Dec 4 18:09:32 2025 removing 7047189 relations and 5047189 ideals in 2000000 cliques
  319. Thu Dec 4 18:09:36 2025 commencing in-memory singleton removal
  320. Thu Dec 4 18:09:39 2025 begin with 147079502 relations and 132149361 unique ideals
  321. Thu Dec 4 18:09:56 2025 reduce to 146832340 relations and 126852088 ideals in 6 passes
  322. Thu Dec 4 18:09:56 2025 max relations containing the same ideal: 123
  323. Thu Dec 4 18:11:25 2025 removing 7074753 relations and 5074753 ideals in 2000000 cliques
  324. Thu Dec 4 18:11:29 2025 commencing in-memory singleton removal
  325. Thu Dec 4 18:11:32 2025 begin with 139757587 relations and 126852088 unique ideals
  326. Thu Dec 4 18:11:48 2025 reduce to 139498467 relations and 121514986 ideals in 6 passes
  327. Thu Dec 4 18:11:48 2025 max relations containing the same ideal: 119
  328. Thu Dec 4 18:13:04 2025 removing 7102359 relations and 5102359 ideals in 2000000 cliques
  329. Thu Dec 4 18:13:08 2025 commencing in-memory singleton removal
  330. Thu Dec 4 18:13:11 2025 begin with 132396108 relations and 121514986 unique ideals
  331. Thu Dec 4 18:13:26 2025 reduce to 132124624 relations and 116137559 ideals in 6 passes
  332. Thu Dec 4 18:13:26 2025 max relations containing the same ideal: 110
  333. Thu Dec 4 18:14:42 2025 removing 7141714 relations and 5141714 ideals in 2000000 cliques
  334. Thu Dec 4 18:14:46 2025 commencing in-memory singleton removal
  335. Thu Dec 4 18:14:49 2025 begin with 124982910 relations and 116137559 unique ideals
  336. Thu Dec 4 18:15:06 2025 reduce to 124696571 relations and 110705492 ideals in 7 passes
  337. Thu Dec 4 18:15:06 2025 max relations containing the same ideal: 110
  338. Thu Dec 4 18:16:21 2025 removing 7182805 relations and 5182805 ideals in 2000000 cliques
  339. Thu Dec 4 18:16:25 2025 commencing in-memory singleton removal
  340. Thu Dec 4 18:16:28 2025 begin with 117513766 relations and 110705492 unique ideals
  341. Thu Dec 4 18:16:43 2025 reduce to 117209134 relations and 105213674 ideals in 7 passes
  342. Thu Dec 4 18:16:43 2025 max relations containing the same ideal: 106
  343. Thu Dec 4 18:17:51 2025 removing 7226838 relations and 5226838 ideals in 2000000 cliques
  344. Thu Dec 4 18:17:55 2025 commencing in-memory singleton removal
  345. Thu Dec 4 18:17:57 2025 begin with 109982296 relations and 105213674 unique ideals
  346. Thu Dec 4 18:18:11 2025 reduce to 109659835 relations and 99659512 ideals in 6 passes
  347. Thu Dec 4 18:18:11 2025 max relations containing the same ideal: 99
  348. Thu Dec 4 18:19:13 2025 removing 7274426 relations and 5274426 ideals in 2000000 cliques
  349. Thu Dec 4 18:19:16 2025 commencing in-memory singleton removal
  350. Thu Dec 4 18:19:19 2025 begin with 102385409 relations and 99659512 unique ideals
  351. Thu Dec 4 18:19:32 2025 reduce to 102036998 relations and 94031110 ideals in 7 passes
  352. Thu Dec 4 18:19:32 2025 max relations containing the same ideal: 93
  353. Thu Dec 4 18:20:26 2025 removing 7331087 relations and 5331087 ideals in 2000000 cliques
  354. Thu Dec 4 18:20:28 2025 commencing in-memory singleton removal
  355. Thu Dec 4 18:20:30 2025 begin with 94705911 relations and 94031110 unique ideals
  356. Thu Dec 4 18:20:45 2025 reduce to 94328223 relations and 88315890 ideals in 7 passes
  357. Thu Dec 4 18:20:45 2025 max relations containing the same ideal: 92
  358. Thu Dec 4 18:21:47 2025 removing 7387603 relations and 5387603 ideals in 2000000 cliques
  359. Thu Dec 4 18:21:50 2025 commencing in-memory singleton removal
  360. Thu Dec 4 18:21:52 2025 begin with 86940620 relations and 88315890 unique ideals
  361. Thu Dec 4 18:22:04 2025 reduce to 86527056 relations and 82507251 ideals in 7 passes
  362. Thu Dec 4 18:22:04 2025 max relations containing the same ideal: 86
  363. Thu Dec 4 18:22:57 2025 removing 7196323 relations and 5281611 ideals in 1914712 cliques
  364. Thu Dec 4 18:23:00 2025 commencing in-memory singleton removal
  365. Thu Dec 4 18:23:02 2025 begin with 79330733 relations and 82507251 unique ideals
  366. Thu Dec 4 18:23:12 2025 reduce to 78902232 relations and 76789183 ideals in 7 passes
  367. Thu Dec 4 18:23:12 2025 max relations containing the same ideal: 80
  368. Thu Dec 4 18:24:09 2025 relations with 0 large ideals: 137389
  369. Thu Dec 4 18:24:09 2025 relations with 1 large ideals: 38525
  370. Thu Dec 4 18:24:09 2025 relations with 2 large ideals: 401081
  371. Thu Dec 4 18:24:09 2025 relations with 3 large ideals: 2452912
  372. Thu Dec 4 18:24:09 2025 relations with 4 large ideals: 8189504
  373. Thu Dec 4 18:24:09 2025 relations with 5 large ideals: 16395203
  374. Thu Dec 4 18:24:09 2025 relations with 6 large ideals: 20689352
  375. Thu Dec 4 18:24:09 2025 relations with 7+ large ideals: 30598266
  376. Thu Dec 4 18:24:09 2025 commencing 2-way merge
  377. Thu Dec 4 18:25:17 2025 reduce to 51068906 relation sets and 48955857 unique ideals
  378. Thu Dec 4 18:25:17 2025 commencing full merge
  379. Thu Dec 4 18:51:50 2025 memory use: 6563.8 MB
  380. Thu Dec 4 18:52:03 2025 found 25797199 cycles, need 25514057
  381. Thu Dec 4 18:52:14 2025 weight of 25514057 cycles is about 2296382654 (90.00/cycle)
  382. Thu Dec 4 18:52:14 2025 distribution of cycle lengths:
  383. Thu Dec 4 18:52:14 2025 1 relations: 2240200
  384. Thu Dec 4 18:52:14 2025 2 relations: 2375071
  385. Thu Dec 4 18:52:14 2025 3 relations: 2444140
  386. Thu Dec 4 18:52:14 2025 4 relations: 2390659
  387. Thu Dec 4 18:52:14 2025 5 relations: 2332803
  388. Thu Dec 4 18:52:14 2025 6 relations: 2220792
  389. Thu Dec 4 18:52:14 2025 7 relations: 2069697
  390. Thu Dec 4 18:52:14 2025 8 relations: 1862037
  391. Thu Dec 4 18:52:14 2025 9 relations: 1627397
  392. Thu Dec 4 18:52:14 2025 10+ relations: 5951261
  393. Thu Dec 4 18:52:14 2025 heaviest cycle: 25 relations
  394. Thu Dec 4 18:52:30 2025 commencing cycle optimization
  395. Thu Dec 4 18:53:52 2025 start with 167869477 relations
  396. Thu Dec 4 19:02:02 2025 pruned 5431432 relations
  397. Thu Dec 4 19:02:02 2025 memory use: 4990.0 MB
  398. Thu Dec 4 19:02:02 2025 distribution of cycle lengths:
  399. Thu Dec 4 19:02:02 2025 1 relations: 2240200
  400. Thu Dec 4 19:02:02 2025 2 relations: 2419624
  401. Thu Dec 4 19:02:02 2025 3 relations: 2529106
  402. Thu Dec 4 19:02:02 2025 4 relations: 2468007
  403. Thu Dec 4 19:02:02 2025 5 relations: 2424625
  404. Thu Dec 4 19:02:02 2025 6 relations: 2298416
  405. Thu Dec 4 19:02:02 2025 7 relations: 2142162
  406. Thu Dec 4 19:02:02 2025 8 relations: 1907745
  407. Thu Dec 4 19:02:02 2025 9 relations: 1657201
  408. Thu Dec 4 19:02:02 2025 10+ relations: 5426971
  409. Thu Dec 4 19:02:02 2025 heaviest cycle: 24 relations
  410. Thu Dec 4 19:02:59 2025 RelProcTime: 15238
  411. Thu Dec 4 19:02:59 2025 elapsed time 04:13:59
  412. Thu Dec 4 19:03:17 2025
  413. Thu Dec 4 19:03:17 2025
  414. Thu Dec 4 19:03:17 2025 Msieve v. 1.54 (SVN Unversioned directory)
  415. Thu Dec 4 19:03:17 2025 random seeds: 26590dcf feb38680
  416. Thu Dec 4 19:03:17 2025 Using 8 OpenMP threads
  417. Thu Dec 4 19:03:17 2025 factoring 506940629550784676976340160141369215096659770870315066468370487808084562957530342546141674824412076083279946722580090156073702682166104845207192529798705154637635470948493167386645937730844063737428110817041390361 (213 digits)
  418. Thu Dec 4 19:03:18 2025 searching for 15-digit factors
  419. Thu Dec 4 19:03:18 2025 commencing number field sieve (213-digit input)
  420. Thu Dec 4 19:03:18 2025 R0: 5482801135979276797087045261565926930820588431
  421. Thu Dec 4 19:03:18 2025 R1: -1
  422. Thu Dec 4 19:03:18 2025 A0: 1
  423. Thu Dec 4 19:03:18 2025 A1: 1
  424. Thu Dec 4 19:03:18 2025 A2: 1
  425. Thu Dec 4 19:03:18 2025 A3: 1
  426. Thu Dec 4 19:03:18 2025 A4: 1
  427. Thu Dec 4 19:03:18 2025 A5: 1
  428. Thu Dec 4 19:03:18 2025 A6: 1
  429. Thu Dec 4 19:03:18 2025 skew 1.38, size 1.662e-13, alpha 2.428, combined = 2.971e-14 rroots = 0
  430. Thu Dec 4 19:03:18 2025
  431. Thu Dec 4 19:03:18 2025 commencing linear algebra
  432. Thu Dec 4 19:03:18 2025 using VBITS=256
  433. Thu Dec 4 19:03:18 2025 stopping after matrix build
  434. Thu Dec 4 19:03:20 2025 read 25514057 cycles
  435. Thu Dec 4 19:04:07 2025 cycles contain 77684364 unique relations
  436. Thu Dec 4 19:19:24 2025 read 77684364 relations
  437. Thu Dec 4 19:20:06 2025 using 20 quadratic characters above 4294917295
  438. Thu Dec 4 19:20:52 2025 building initial matrix
  439. Thu Dec 4 19:39:30 2025 memory use: 9858.5 MB
  440. Thu Dec 4 19:39:47 2025 read 25514057 cycles
  441. Thu Dec 4 19:39:50 2025 matrix is 25513874 x 25514057 (9454.8 MB) with weight 2691286138 (105.48/col)
  442. Thu Dec 4 19:39:50 2025 sparse part has weight 2197851802 (86.14/col)
  443. Thu Dec 4 19:44:49 2025 filtering completed in 2 passes
  444. Thu Dec 4 19:44:55 2025 matrix is 25510650 x 25510820 (9454.5 MB) with weight 2691194352 (105.49/col)
  445. Thu Dec 4 19:44:55 2025 sparse part has weight 2197819740 (86.15/col)
  446. Thu Dec 4 19:46:35 2025 BLanczosTime: 2597
  447. Thu Dec 4 19:46:35 2025 elapsed time 00:43:18
  448. Thu Dec 4 20:16:44 2025
  449. Thu Dec 4 20:16:44 2025
  450. Thu Dec 4 20:16:44 2025 Msieve v. 1.54 (SVN Unversioned directory)
  451. Thu Dec 4 20:16:44 2025 random seeds: 467ab4de 2ad4a281
  452. Thu Dec 4 20:16:44 2025 Using 8 OpenMP threads
  453. Thu Dec 4 20:16:44 2025 factoring 506940629550784676976340160141369215096659770870315066468370487808084562957530342546141674824412076083279946722580090156073702682166104845207192529798705154637635470948493167386645937730844063737428110817041390361 (213 digits)
  454. Thu Dec 4 20:16:45 2025 searching for 15-digit factors
  455. Thu Dec 4 20:16:45 2025 commencing number field sieve (213-digit input)
  456. Thu Dec 4 20:16:45 2025 R0: 5482801135979276797087045261565926930820588431
  457. Thu Dec 4 20:16:45 2025 R1: -1
  458. Thu Dec 4 20:16:45 2025 A0: 1
  459. Thu Dec 4 20:16:45 2025 A1: 1
  460. Thu Dec 4 20:16:45 2025 A2: 1
  461. Thu Dec 4 20:16:45 2025 A3: 1
  462. Thu Dec 4 20:16:45 2025 A4: 1
  463. Thu Dec 4 20:16:45 2025 A5: 1
  464. Thu Dec 4 20:16:45 2025 A6: 1
  465. Thu Dec 4 20:16:45 2025 skew 1.38, size 1.662e-13, alpha 2.428, combined = 2.971e-14 rroots = 0
  466. Thu Dec 4 20:16:45 2025
  467. Thu Dec 4 20:16:45 2025 commencing linear algebra
  468. Thu Dec 4 20:16:45 2025 using VBITS=256
  469. Thu Dec 4 20:16:45 2025 skipping matrix build
  470. Thu Dec 4 20:17:08 2025 matrix starts at (0, 0)
  471. Thu Dec 4 20:17:09 2025 matrix is 25510650 x 25510820 (9454.5 MB) with weight 2691194352 (105.49/col)
  472. Thu Dec 4 20:17:09 2025 sparse part has weight 2197819740 (86.15/col)
  473. Thu Dec 4 20:17:09 2025 saving the first 240 matrix rows for later
  474. Thu Dec 4 20:17:14 2025 matrix includes 256 packed rows
  475. Thu Dec 4 20:17:18 2025 matrix is 25510410 x 25510820 (8879.7 MB) with weight 2015641486 (79.01/col)
  476. Thu Dec 4 20:17:18 2025 sparse part has weight 1919585941 (75.25/col)
  477. Thu Dec 4 20:17:18 2025 using GPU 0 (NVIDIA GeForce RTX 5070)
  478. Thu Dec 4 20:17:18 2025 selected card has CUDA arch 12.0
  479. Thu Dec 4 20:19:15 2025
  480. Thu Dec 4 20:19:15 2025
  481. Thu Dec 4 20:19:15 2025 Msieve v. 1.54 (SVN Unversioned directory)
  482. Thu Dec 4 20:19:15 2025 random seeds: 7b5800b7 784af6dd
  483. Thu Dec 4 20:19:15 2025 Using 8 OpenMP threads
  484. Thu Dec 4 20:19:15 2025 factoring 506940629550784676976340160141369215096659770870315066468370487808084562957530342546141674824412076083279946722580090156073702682166104845207192529798705154637635470948493167386645937730844063737428110817041390361 (213 digits)
  485. Thu Dec 4 20:19:15 2025 searching for 15-digit factors
  486. Thu Dec 4 20:19:16 2025 commencing number field sieve (213-digit input)
  487. Thu Dec 4 20:19:16 2025 R0: 5482801135979276797087045261565926930820588431
  488. Thu Dec 4 20:19:16 2025 R1: -1
  489. Thu Dec 4 20:19:16 2025 A0: 1
  490. Thu Dec 4 20:19:16 2025 A1: 1
  491. Thu Dec 4 20:19:16 2025 A2: 1
  492. Thu Dec 4 20:19:16 2025 A3: 1
  493. Thu Dec 4 20:19:16 2025 A4: 1
  494. Thu Dec 4 20:19:16 2025 A5: 1
  495. Thu Dec 4 20:19:16 2025 A6: 1
  496. Thu Dec 4 20:19:16 2025 skew 1.38, size 1.662e-13, alpha 2.428, combined = 2.971e-14 rroots = 0
  497. Thu Dec 4 20:19:16 2025
  498. Thu Dec 4 20:19:16 2025 commencing linear algebra
  499. Thu Dec 4 20:19:16 2025 using VBITS=256
  500. Thu Dec 4 20:19:16 2025 skipping matrix build
  501. Thu Dec 4 20:19:21 2025 matrix starts at (0, 0)
  502. Thu Dec 4 20:19:21 2025 matrix is 25510650 x 25510820 (9454.5 MB) with weight 2691194352 (105.49/col)
  503. Thu Dec 4 20:19:21 2025 sparse part has weight 2197819740 (86.15/col)
  504. Thu Dec 4 20:19:21 2025 saving the first 240 matrix rows for later
  505. Thu Dec 4 20:19:26 2025 matrix includes 256 packed rows
  506. Thu Dec 4 20:19:30 2025 matrix is 25510410 x 25510820 (8879.7 MB) with weight 2015641486 (79.01/col)
  507. Thu Dec 4 20:19:30 2025 sparse part has weight 1919585941 (75.25/col)
  508. Thu Dec 4 20:19:30 2025 using GPU 0 (NVIDIA GeForce RTX 5070)
  509. Thu Dec 4 20:19:30 2025 selected card has CUDA arch 12.0
  510. Thu Dec 4 20:26:44 2025 commencing Lanczos iteration
  511. Thu Dec 4 20:26:58 2025 memory use: 21262.8 MB
  512. Thu Dec 4 20:30:15 2025 linear algebra at 0.1%, ETA 45h17m
  513. Thu Dec 4 20:35:07 2025 checking every 10000 dimensions, checkpointing every 570000 dimensions
  514. Sat Dec 6 18:11:29 2025 lanczos halted after 99950 iterations (dim = 25510400)
  515. Sat Dec 6 18:28:15 2025 recovered 32 nontrivial dependencies
  516. Sat Dec 6 18:29:33 2025 BLanczosTime: 166217
  517. Sat Dec 6 18:29:33 2025 elapsed time 46:10:18
  518. Sat Dec 6 18:31:05 2025
  519. Sat Dec 6 18:31:05 2025
  520. Sat Dec 6 18:31:05 2025 Msieve v. 1.54 (SVN Unversioned directory)
  521. Sat Dec 6 18:31:05 2025 random seeds: 75a91d59 f31b6fd1
  522. Sat Dec 6 18:31:05 2025 Using 8 OpenMP threads
  523. Sat Dec 6 18:31:05 2025 factoring 506940629550784676976340160141369215096659770870315066468370487808084562957530342546141674824412076083279946722580090156073702682166104845207192529798705154637635470948493167386645937730844063737428110817041390361 (213 digits)
  524. Sat Dec 6 18:31:06 2025 searching for 15-digit factors
  525. Sat Dec 6 18:31:06 2025 commencing number field sieve (213-digit input)
  526. Sat Dec 6 18:31:06 2025 R0: 5482801135979276797087045261565926930820588431
  527. Sat Dec 6 18:31:06 2025 R1: -1
  528. Sat Dec 6 18:31:06 2025 A0: 1
  529. Sat Dec 6 18:31:06 2025 A1: 1
  530. Sat Dec 6 18:31:06 2025 A2: 1
  531. Sat Dec 6 18:31:06 2025 A3: 1
  532. Sat Dec 6 18:31:06 2025 A4: 1
  533. Sat Dec 6 18:31:06 2025 A5: 1
  534. Sat Dec 6 18:31:06 2025 A6: 1
  535. Sat Dec 6 18:31:06 2025 skew 1.38, size 1.662e-13, alpha 2.428, combined = 2.971e-14 rroots = 0
  536. Sat Dec 6 18:31:06 2025
  537. Sat Dec 6 18:31:06 2025 commencing square root phase
  538. Sat Dec 6 18:31:06 2025 reading relations for dependency 1
  539. Sat Dec 6 18:31:15 2025 read 12756733 cycles
  540. Sat Dec 6 18:31:34 2025 cycles contain 38850648 unique relations
  541. Sat Dec 6 18:42:25 2025 read 38850648 relations
  542. Sat Dec 6 18:44:40 2025 multiplying 38850648 relations
  543. Sat Dec 6 18:47:32 2025 multiply complete, coefficients have about 1030.94 million bits
  544. Sat Dec 6 18:47:34 2025 initial square root is modulo 1774349531
  545. Sat Dec 6 18:52:36 2025 GCD is 1, no factor found
  546. Sat Dec 6 18:52:36 2025 reading relations for dependency 2
  547. Sat Dec 6 18:52:39 2025 read 12757496 cycles
  548. Sat Dec 6 18:52:57 2025 cycles contain 38841890 unique relations
  549. Sat Dec 6 18:58:40 2025 read 38841890 relations
  550. Sat Dec 6 19:00:39 2025 multiplying 38841890 relations
  551. Sat Dec 6 19:03:11 2025 multiply complete, coefficients have about 1030.72 million bits
  552. Sat Dec 6 19:03:14 2025 initial square root is modulo 1766381473
  553. Sat Dec 6 19:09:25 2025 sqrtTime: 2299
  554. Sat Dec 6 19:09:25 2025 p81 factor: 592973426865872598058389334988899453567933298261783978894882334572888471091354653
  555. Sat Dec 6 19:09:25 2025 p132 factor: 854912895895167866584918138288739566437603553743597097179083683716028926041361695890770398582010795876912932580448108735733777019437
  556. Sat Dec 6 19:09:25 2025 elapsed time 00:38:20
  557.  
Tags: math
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