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kyleaskine
Aug 10th, 2026
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  1. Mon Aug 10 10:38:19 2026
  2. Mon Aug 10 10:38:19 2026
  3. Mon Aug 10 10:38:19 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Aug 10 10:38:19 2026 random seeds: 2ae113bc 4f07a602
  5. Mon Aug 10 10:38:19 2026 Using 8 OpenMP threads
  6. Mon Aug 10 10:38:19 2026 factoring 280264977148198727475595835561025465719674859663111699361220052280388386456811698352422228908226295980110067135244111759661366876175984983351953188564951279167402313976056045717267541 (183 digits)
  7. Mon Aug 10 10:38:19 2026 no P-1/P+1/ECM available, skipping
  8. Mon Aug 10 10:38:19 2026 commencing number field sieve (183-digit input)
  9. Mon Aug 10 10:38:19 2026 R0: -302373103001840496072794392623995033
  10. Mon Aug 10 10:38:19 2026 R1: 58958421689715064693511
  11. Mon Aug 10 10:38:19 2026 A0: -230628868106431738173949771021343942925597240
  12. Mon Aug 10 10:38:19 2026 A1: -7196585837893771008938965563233970542
  13. Mon Aug 10 10:38:19 2026 A2: 836630598661015441244544068131
  14. Mon Aug 10 10:38:19 2026 A3: -2465553130084580317098
  15. Mon Aug 10 10:38:19 2026 A4: -223080491136
  16. Mon Aug 10 10:38:19 2026 A5: 110880
  17. Mon Aug 10 10:38:19 2026 skew 115392772.93, size 1.123e-17, alpha -8.659, combined = 7.803e-14 rroots = 3
  18. Mon Aug 10 10:38:19 2026
  19. Mon Aug 10 10:38:19 2026 commencing relation filtering
  20. Mon Aug 10 10:38:19 2026 setting 3 target densities:Mon Aug 10 10:38:19 2026 90Mon Aug 10 10:38:19 2026 110Mon Aug 10 10:38:19 2026 130Mon Aug 10 10:38:19 2026
  21. Mon Aug 10 10:38:19 2026 estimated available RAM is 78540.1 MB
  22. Mon Aug 10 10:38:19 2026 commencing duplicate removal, pass 1
  23. Mon Aug 10 10:38:27 2026 error -1 reading relation 5067117
  24. Mon Aug 10 10:38:29 2026 error -1 reading relation 6062929
  25. Mon Aug 10 10:38:46 2026 error -1 reading relation 8540573
  26. Mon Aug 10 10:38:48 2026 error -1 reading relation 10761556
  27. Mon Aug 10 10:38:51 2026 error -1 reading relation 12539936
  28. Mon Aug 10 10:38:57 2026 error -1 reading relation 17353552
  29. Mon Aug 10 10:40:19 2026 error -1 reading relation 65964838
  30. Mon Aug 10 10:40:40 2026 error -11 reading relation 74759877
  31. Mon Aug 10 10:41:05 2026 error -1 reading relation 85695160
  32. Mon Aug 10 10:41:23 2026 error -1 reading relation 94987373
  33. Mon Aug 10 10:41:53 2026 error -1 reading relation 111185204
  34. Mon Aug 10 10:41:56 2026 error -1 reading relation 112709380
  35. Mon Aug 10 10:42:37 2026 error -1 reading relation 140299318
  36. Mon Aug 10 10:42:37 2026 error -1 reading relation 140299641
  37. Mon Aug 10 10:42:37 2026 error -1 reading relation 140303296
  38. Mon Aug 10 10:42:57 2026 error -1 reading relation 155474889
  39. Mon Aug 10 10:43:19 2026 error -1 reading relation 170633130
  40. Mon Aug 10 10:43:24 2026 error -1 reading relation 175161032
  41. Mon Aug 10 10:43:56 2026 error -1 reading relation 201452688
  42. Mon Aug 10 10:44:08 2026 error -1 reading relation 209953774
  43. Mon Aug 10 10:44:10 2026 error -1 reading relation 211305984
  44. Mon Aug 10 10:44:21 2026 error -1 reading relation 217313251
  45. Mon Aug 10 10:45:04 2026 error -1 reading relation 244397299
  46. Mon Aug 10 10:45:32 2026 error -15 reading relation 262220123
  47. Mon Aug 10 10:45:50 2026 error -1 reading relation 270991966
  48. Mon Aug 10 10:46:05 2026 error -1 reading relation 278803315
  49. Mon Aug 10 10:46:06 2026 error -1 reading relation 279344088
  50. Mon Aug 10 10:46:16 2026 error -15 reading relation 284903733
  51. Mon Aug 10 10:46:22 2026 error -15 reading relation 287980187
  52. Mon Aug 10 10:46:26 2026 error -11 reading relation 290980992
  53. Mon Aug 10 10:46:52 2026 error -1 reading relation 305971908
  54. Mon Aug 10 10:47:02 2026 error -1 reading relation 311376901
  55. Mon Aug 10 10:47:02 2026 error -1 reading relation 311618465
  56. Mon Aug 10 10:47:12 2026 error -1 reading relation 319330256
  57. Mon Aug 10 10:47:33 2026 error -1 reading relation 330745574
  58. Mon Aug 10 10:47:35 2026 error -1 reading relation 331419750
  59. Mon Aug 10 10:47:44 2026 error -1 reading relation 336808518
  60. Mon Aug 10 10:47:45 2026 error -1 reading relation 336999847
  61. Mon Aug 10 10:47:49 2026 error -1 reading relation 339463378
  62. Mon Aug 10 10:47:50 2026 error -1 reading relation 340397080
  63. Mon Aug 10 10:47:50 2026 error -1 reading relation 340840773
  64. Mon Aug 10 10:47:51 2026 error -1 reading relation 341349813
  65. Mon Aug 10 10:47:55 2026 skipped 2 relations with composite factors
  66. Mon Aug 10 10:47:55 2026 skipped 274 malformed relations
  67. Mon Aug 10 10:47:55 2026 found 73674072 hash collisions in 343877536 relations
  68. Mon Aug 10 10:48:07 2026 added 121414 free relations
  69. Mon Aug 10 10:48:07 2026 commencing duplicate removal, pass 2
  70. Mon Aug 10 10:52:05 2026 found 78431223 duplicates and 265567727 unique relations
  71. Mon Aug 10 10:52:05 2026 memory use: 1705.5 MB
  72. Mon Aug 10 10:52:05 2026 reading ideals above 720000
  73. Mon Aug 10 10:52:05 2026 commencing singleton removal, initial pass
  74. Mon Aug 10 11:16:21 2026 memory use: 6024.0 MB
  75. Mon Aug 10 11:16:21 2026 reading all ideals from disk
  76. Mon Aug 10 11:16:35 2026 memory use: 12970.4 MB
  77. Mon Aug 10 11:17:25 2026 keeping 248746639 ideals with weight <= 200, target excess is 1393746
  78. Mon Aug 10 11:17:46 2026 commencing in-memory singleton removal
  79. Mon Aug 10 11:17:50 2026 begin with 265567727 relations and 248746639 unique ideals
  80. Mon Aug 10 11:18:17 2026 reduce to 166446631 relations and 139567322 ideals in 14 passes
  81. Mon Aug 10 11:18:17 2026 max relations containing the same ideal: 154
  82. Mon Aug 10 11:19:05 2026 removing 12034513 relations and 10034513 ideals in 2000000 cliques
  83. Mon Aug 10 11:19:07 2026 commencing in-memory singleton removal
  84. Mon Aug 10 11:19:09 2026 begin with 154412118 relations and 139567322 unique ideals
  85. Mon Aug 10 11:19:22 2026 reduce to 153743791 relations and 128854158 ideals in 9 passes
  86. Mon Aug 10 11:19:22 2026 max relations containing the same ideal: 148
  87. Mon Aug 10 11:20:05 2026 removing 9242396 relations and 7242396 ideals in 2000000 cliques
  88. Mon Aug 10 11:20:06 2026 commencing in-memory singleton removal
  89. Mon Aug 10 11:20:08 2026 begin with 144501395 relations and 128854158 unique ideals
  90. Mon Aug 10 11:20:19 2026 reduce to 144049949 relations and 121154145 ideals in 8 passes
  91. Mon Aug 10 11:20:19 2026 max relations containing the same ideal: 141
  92. Mon Aug 10 11:20:59 2026 removing 8398518 relations and 6398518 ideals in 2000000 cliques
  93. Mon Aug 10 11:21:02 2026 commencing in-memory singleton removal
  94. Mon Aug 10 11:21:03 2026 begin with 135651431 relations and 121154145 unique ideals
  95. Mon Aug 10 11:21:11 2026 reduce to 135247699 relations and 114346476 ideals in 7 passes
  96. Mon Aug 10 11:21:11 2026 max relations containing the same ideal: 137
  97. Mon Aug 10 11:21:49 2026 removing 7969448 relations and 5969448 ideals in 2000000 cliques
  98. Mon Aug 10 11:21:51 2026 commencing in-memory singleton removal
  99. Mon Aug 10 11:21:53 2026 begin with 127278251 relations and 114346476 unique ideals
  100. Mon Aug 10 11:22:03 2026 reduce to 126890895 relations and 107984345 ideals in 9 passes
  101. Mon Aug 10 11:22:03 2026 max relations containing the same ideal: 129
  102. Mon Aug 10 11:22:40 2026 removing 7711368 relations and 5711368 ideals in 2000000 cliques
  103. Mon Aug 10 11:22:42 2026 commencing in-memory singleton removal
  104. Mon Aug 10 11:22:42 2026 begin with 119179527 relations and 107984345 unique ideals
  105. Mon Aug 10 11:22:50 2026 reduce to 118795695 relations and 101883602 ideals in 7 passes
  106. Mon Aug 10 11:22:50 2026 max relations containing the same ideal: 123
  107. Mon Aug 10 11:23:24 2026 removing 7557254 relations and 5557254 ideals in 2000000 cliques
  108. Mon Aug 10 11:23:27 2026 commencing in-memory singleton removal
  109. Mon Aug 10 11:23:28 2026 begin with 111238441 relations and 101883602 unique ideals
  110. Mon Aug 10 11:23:35 2026 reduce to 110847107 relations and 95929135 ideals in 7 passes
  111. Mon Aug 10 11:23:35 2026 max relations containing the same ideal: 119
  112. Mon Aug 10 11:24:07 2026 removing 7465477 relations and 5465477 ideals in 2000000 cliques
  113. Mon Aug 10 11:24:09 2026 commencing in-memory singleton removal
  114. Mon Aug 10 11:24:10 2026 begin with 103381630 relations and 95929135 unique ideals
  115. Mon Aug 10 11:24:16 2026 reduce to 102972850 relations and 90048266 ideals in 8 passes
  116. Mon Aug 10 11:24:16 2026 max relations containing the same ideal: 112
  117. Mon Aug 10 11:24:45 2026 removing 7419693 relations and 5419693 ideals in 2000000 cliques
  118. Mon Aug 10 11:24:47 2026 commencing in-memory singleton removal
  119. Mon Aug 10 11:24:49 2026 begin with 95553157 relations and 90048266 unique ideals
  120. Mon Aug 10 11:24:55 2026 reduce to 95119873 relations and 84187870 ideals in 8 passes
  121. Mon Aug 10 11:24:55 2026 max relations containing the same ideal: 109
  122. Mon Aug 10 11:25:20 2026 removing 7415592 relations and 5415592 ideals in 2000000 cliques
  123. Mon Aug 10 11:25:22 2026 commencing in-memory singleton removal
  124. Mon Aug 10 11:25:23 2026 begin with 87704281 relations and 84187870 unique ideals
  125. Mon Aug 10 11:25:28 2026 reduce to 87238223 relations and 78297686 ideals in 7 passes
  126. Mon Aug 10 11:25:28 2026 max relations containing the same ideal: 104
  127. Mon Aug 10 11:25:52 2026 removing 7450302 relations and 5450302 ideals in 2000000 cliques
  128. Mon Aug 10 11:25:54 2026 commencing in-memory singleton removal
  129. Mon Aug 10 11:25:55 2026 begin with 79787921 relations and 78297686 unique ideals
  130. Mon Aug 10 11:26:00 2026 reduce to 79278046 relations and 72327402 ideals in 8 passes
  131. Mon Aug 10 11:26:00 2026 max relations containing the same ideal: 97
  132. Mon Aug 10 11:26:21 2026 removing 7514831 relations and 5514831 ideals in 2000000 cliques
  133. Mon Aug 10 11:26:23 2026 commencing in-memory singleton removal
  134. Mon Aug 10 11:26:24 2026 begin with 71763215 relations and 72327402 unique ideals
  135. Mon Aug 10 11:26:30 2026 reduce to 71189369 relations and 66226431 ideals in 11 passes
  136. Mon Aug 10 11:26:30 2026 max relations containing the same ideal: 88
  137. Mon Aug 10 11:26:49 2026 removing 7612848 relations and 5612848 ideals in 2000000 cliques
  138. Mon Aug 10 11:26:51 2026 commencing in-memory singleton removal
  139. Mon Aug 10 11:26:52 2026 begin with 63576521 relations and 66226431 unique ideals
  140. Mon Aug 10 11:26:57 2026 reduce to 62916400 relations and 59937759 ideals in 10 passes
  141. Mon Aug 10 11:26:57 2026 max relations containing the same ideal: 83
  142. Mon Aug 10 11:27:15 2026 removing 5720153 relations and 4358258 ideals in 1361895 cliques
  143. Mon Aug 10 11:27:17 2026 commencing in-memory singleton removal
  144. Mon Aug 10 11:27:17 2026 begin with 57196247 relations and 59937759 unique ideals
  145. Mon Aug 10 11:27:20 2026 reduce to 56787657 relations and 55163363 ideals in 8 passes
  146. Mon Aug 10 11:27:20 2026 max relations containing the same ideal: 78
  147. Mon Aug 10 11:27:38 2026 trying target density 90
  148. Mon Aug 10 11:27:42 2026 relations with 0 large ideals: 5243
  149. Mon Aug 10 11:27:42 2026 relations with 1 large ideals: 24614
  150. Mon Aug 10 11:27:42 2026 relations with 2 large ideals: 355107
  151. Mon Aug 10 11:27:42 2026 relations with 3 large ideals: 2137191
  152. Mon Aug 10 11:27:42 2026 relations with 4 large ideals: 6907520
  153. Mon Aug 10 11:27:42 2026 relations with 5 large ideals: 13224015
  154. Mon Aug 10 11:27:42 2026 relations with 6 large ideals: 15690605
  155. Mon Aug 10 11:27:42 2026 relations with 7+ large ideals: 18443362
  156. Mon Aug 10 11:27:42 2026 commencing 2-way merge
  157. Mon Aug 10 11:28:07 2026 reduce to 35812685 relation sets and 34188391 unique ideals
  158. Mon Aug 10 11:28:07 2026 commencing full merge
  159. Mon Aug 10 11:35:13 2026 memory use: 4104.5 MB
  160. Mon Aug 10 11:35:16 2026 found 17800149 cycles, need 17578591
  161. Mon Aug 10 11:35:20 2026 weight of 17578591 cycles is about 1582265140 (90.01/cycle)
  162. Mon Aug 10 11:35:20 2026 distribution of cycle lengths:
  163. Mon Aug 10 11:35:20 2026 1 relations: 1768082
  164. Mon Aug 10 11:35:20 2026 2 relations: 1734637
  165. Mon Aug 10 11:35:20 2026 3 relations: 1761912
  166. Mon Aug 10 11:35:20 2026 4 relations: 1706554
  167. Mon Aug 10 11:35:20 2026 5 relations: 1628012
  168. Mon Aug 10 11:35:20 2026 6 relations: 1541388
  169. Mon Aug 10 11:35:20 2026 7 relations: 1410998
  170. Mon Aug 10 11:35:21 2026 8 relations: 1251943
  171. Mon Aug 10 11:35:21 2026 9 relations: 1080888
  172. Mon Aug 10 11:35:21 2026 10+ relations: 3694177
  173. Mon Aug 10 11:35:21 2026 heaviest cycle: 21 relations
  174. Mon Aug 10 11:35:24 2026 commencing cycle optimization
  175. Mon Aug 10 11:35:47 2026 start with 110177518 relations
  176. Mon Aug 10 11:37:49 2026 pruned 3410233 relations
  177. Mon Aug 10 11:37:51 2026 memory use: 3448.5 MB
  178. Mon Aug 10 11:37:51 2026 distribution of cycle lengths:
  179. Mon Aug 10 11:37:51 2026 1 relations: 1768082
  180. Mon Aug 10 11:37:51 2026 2 relations: 1777570
  181. Mon Aug 10 11:37:51 2026 3 relations: 1830786
  182. Mon Aug 10 11:37:51 2026 4 relations: 1760253
  183. Mon Aug 10 11:37:51 2026 5 relations: 1688380
  184. Mon Aug 10 11:37:51 2026 6 relations: 1585804
  185. Mon Aug 10 11:37:51 2026 7 relations: 1451572
  186. Mon Aug 10 11:37:51 2026 8 relations: 1273152
  187. Mon Aug 10 11:37:51 2026 9 relations: 1087977
  188. Mon Aug 10 11:37:51 2026 10+ relations: 3355015
  189. Mon Aug 10 11:37:51 2026 heaviest cycle: 21 relations
  190. Mon Aug 10 11:38:14 2026 trying target density 110
  191. Mon Aug 10 11:38:18 2026 relations with 0 large ideals: 5243
  192. Mon Aug 10 11:38:18 2026 relations with 1 large ideals: 24614
  193. Mon Aug 10 11:38:18 2026 relations with 2 large ideals: 355107
  194. Mon Aug 10 11:38:18 2026 relations with 3 large ideals: 2137191
  195. Mon Aug 10 11:38:18 2026 relations with 4 large ideals: 6907520
  196. Mon Aug 10 11:38:18 2026 relations with 5 large ideals: 13224015
  197. Mon Aug 10 11:38:18 2026 relations with 6 large ideals: 15690605
  198. Mon Aug 10 11:38:18 2026 relations with 7+ large ideals: 18443362
  199. Mon Aug 10 11:38:18 2026 commencing 2-way merge
  200. Mon Aug 10 11:38:40 2026 reduce to 35812685 relation sets and 34188391 unique ideals
  201. Mon Aug 10 11:38:40 2026 commencing full merge
  202. Mon Aug 10 11:49:05 2026 memory use: 4220.9 MB
  203. Mon Aug 10 11:49:08 2026 found 16609701 cycles, need 16428591
  204. Mon Aug 10 11:49:14 2026 weight of 16428591 cycles is about 1807516061 (110.02/cycle)
  205. Mon Aug 10 11:49:14 2026 distribution of cycle lengths:
  206. Mon Aug 10 11:49:14 2026 1 relations: 1198021
  207. Mon Aug 10 11:49:14 2026 2 relations: 1309950
  208. Mon Aug 10 11:49:14 2026 3 relations: 1369554
  209. Mon Aug 10 11:49:14 2026 4 relations: 1331487
  210. Mon Aug 10 11:49:14 2026 5 relations: 1306340
  211. Mon Aug 10 11:49:14 2026 6 relations: 1271165
  212. Mon Aug 10 11:49:14 2026 7 relations: 1209147
  213. Mon Aug 10 11:49:14 2026 8 relations: 1136009
  214. Mon Aug 10 11:49:14 2026 9 relations: 1040778
  215. Mon Aug 10 11:49:14 2026 10+ relations: 5256140
  216. Mon Aug 10 11:49:14 2026 heaviest cycle: 26 relations
  217. Mon Aug 10 11:49:18 2026 commencing cycle optimization
  218. Mon Aug 10 11:49:50 2026 start with 125463305 relations
  219. Mon Aug 10 11:53:23 2026 pruned 4810405 relations
  220. Mon Aug 10 11:53:25 2026 memory use: 3610.1 MB
  221. Mon Aug 10 11:53:25 2026 distribution of cycle lengths:
  222. Mon Aug 10 11:53:25 2026 1 relations: 1198021
  223. Mon Aug 10 11:53:25 2026 2 relations: 1343877
  224. Mon Aug 10 11:53:25 2026 3 relations: 1425673
  225. Mon Aug 10 11:53:25 2026 4 relations: 1381006
  226. Mon Aug 10 11:53:25 2026 5 relations: 1363656
  227. Mon Aug 10 11:53:25 2026 6 relations: 1319976
  228. Mon Aug 10 11:53:25 2026 7 relations: 1259316
  229. Mon Aug 10 11:53:25 2026 8 relations: 1174369
  230. Mon Aug 10 11:53:25 2026 9 relations: 1073394
  231. Mon Aug 10 11:53:25 2026 10+ relations: 4889303
  232. Mon Aug 10 11:53:25 2026 heaviest cycle: 25 relations
  233. Mon Aug 10 11:53:58 2026 trying target density 130
  234. Mon Aug 10 11:54:04 2026 relations with 0 large ideals: 5243
  235. Mon Aug 10 11:54:04 2026 relations with 1 large ideals: 24614
  236. Mon Aug 10 11:54:04 2026 relations with 2 large ideals: 355107
  237. Mon Aug 10 11:54:04 2026 relations with 3 large ideals: 2137191
  238. Mon Aug 10 11:54:04 2026 relations with 4 large ideals: 6907520
  239. Mon Aug 10 11:54:04 2026 relations with 5 large ideals: 13224015
  240. Mon Aug 10 11:54:04 2026 relations with 6 large ideals: 15690605
  241. Mon Aug 10 11:54:04 2026 relations with 7+ large ideals: 18443362
  242. Mon Aug 10 11:54:04 2026 commencing 2-way merge
  243. Mon Aug 10 11:54:43 2026 reduce to 35812685 relation sets and 34188391 unique ideals
  244. Mon Aug 10 11:54:43 2026 commencing full merge
  245. Mon Aug 10 12:09:32 2026 memory use: 4293.0 MB
  246. Mon Aug 10 12:09:36 2026 found 15660739 cycles, need 15590591
  247. Mon Aug 10 12:09:41 2026 weight of 15590591 cycles is about 2026825123 (130.00/cycle)
  248. Mon Aug 10 12:09:41 2026 distribution of cycle lengths:
  249. Mon Aug 10 12:09:41 2026 1 relations: 823435
  250. Mon Aug 10 12:09:41 2026 2 relations: 1026648
  251. Mon Aug 10 12:09:41 2026 3 relations: 1099999
  252. Mon Aug 10 12:09:41 2026 4 relations: 1091449
  253. Mon Aug 10 12:09:41 2026 5 relations: 1086609
  254. Mon Aug 10 12:09:41 2026 6 relations: 1063265
  255. Mon Aug 10 12:09:41 2026 7 relations: 1046596
  256. Mon Aug 10 12:09:41 2026 8 relations: 996490
  257. Mon Aug 10 12:09:41 2026 9 relations: 947499
  258. Mon Aug 10 12:09:41 2026 10+ relations: 6408601
  259. Mon Aug 10 12:09:41 2026 heaviest cycle: 28 relations
  260. Mon Aug 10 12:09:46 2026 commencing cycle optimization
  261. Mon Aug 10 12:10:24 2026 start with 140165716 relations
  262. Mon Aug 10 12:14:53 2026 pruned 6283680 relations
  263. Mon Aug 10 12:14:54 2026 memory use: 3761.2 MB
  264. Mon Aug 10 12:14:54 2026 distribution of cycle lengths:
  265. Mon Aug 10 12:14:54 2026 1 relations: 823435
  266. Mon Aug 10 12:14:54 2026 2 relations: 1053936
  267. Mon Aug 10 12:14:54 2026 3 relations: 1147072
  268. Mon Aug 10 12:14:54 2026 4 relations: 1135470
  269. Mon Aug 10 12:14:54 2026 5 relations: 1138250
  270. Mon Aug 10 12:14:54 2026 6 relations: 1111897
  271. Mon Aug 10 12:14:54 2026 7 relations: 1097569
  272. Mon Aug 10 12:14:54 2026 8 relations: 1041929
  273. Mon Aug 10 12:14:54 2026 9 relations: 991358
  274. Mon Aug 10 12:14:54 2026 10+ relations: 6049675
  275. Mon Aug 10 12:14:54 2026 heaviest cycle: 28 relations
  276. Mon Aug 10 12:15:27 2026 RelProcTime: 5828
  277. Mon Aug 10 12:15:27 2026
  278. Mon Aug 10 12:15:27 2026 commencing linear algebra
  279. Mon Aug 10 12:15:27 2026 using VBITS=256
  280. Mon Aug 10 12:15:27 2026 building matrices for all densities
  281. Mon Aug 10 12:15:27 2026 found 3 density files
  282. Mon Aug 10 12:15:27 2026 building matrix for density 90
  283. Mon Aug 10 12:15:32 2026 read 17578591 cycles
  284. Mon Aug 10 12:16:01 2026 cycles contain 55721967 unique relations
  285. Mon Aug 10 12:24:29 2026 read 55721967 relations
  286. Mon Aug 10 12:24:49 2026 using 20 quadratic characters above 4294917295
  287. Mon Aug 10 12:25:14 2026 building initial matrix
  288. Mon Aug 10 12:35:27 2026 memory use: 7869.0 MB
  289. Mon Aug 10 12:35:33 2026 read 17578591 cycles
  290. Mon Aug 10 12:35:35 2026 matrix is 17578410 x 17578591 (6577.9 MB) with weight 2065002385 (117.47/col)
  291. Mon Aug 10 12:35:35 2026 sparse part has weight 1513418917 (86.09/col)
  292. Mon Aug 10 12:38:10 2026 filtering completed in 2 passes
  293. Mon Aug 10 12:38:12 2026 matrix is 17573774 x 17573953 (6577.5 MB) with weight 2064794834 (117.49/col)
  294. Mon Aug 10 12:38:12 2026 sparse part has weight 1513360856 (86.11/col)
  295. Mon Aug 10 12:39:00 2026 building matrix for density 110
  296. Mon Aug 10 12:39:05 2026 read 16428591 cycles
  297. Mon Aug 10 12:39:27 2026 cycles contain 55737048 unique relations
  298. Mon Aug 10 12:40:38 2026 read 55737048 relations
  299. Mon Aug 10 12:40:51 2026 using 20 quadratic characters above 4294917295
  300. Mon Aug 10 12:41:10 2026 building initial matrix
  301. Mon Aug 10 12:50:01 2026 memory use: 7888.6 MB
  302. Mon Aug 10 12:50:08 2026 read 16428591 cycles
  303. Mon Aug 10 12:50:11 2026 matrix is 16428410 x 16428591 (7251.7 MB) with weight 2253228516 (137.15/col)
  304. Mon Aug 10 12:50:11 2026 sparse part has weight 1703846137 (103.71/col)
  305. Mon Aug 10 12:51:58 2026 filtering completed in 2 passes
  306. Mon Aug 10 12:52:02 2026 matrix is 16426366 x 16426544 (7251.5 MB) with weight 2253121753 (137.16/col)
  307. Mon Aug 10 12:52:02 2026 sparse part has weight 1703811923 (103.72/col)
  308. Mon Aug 10 12:52:34 2026 building matrix for density 130
  309. Mon Aug 10 12:52:38 2026 read 15590591 cycles
  310. Mon Aug 10 12:52:59 2026 cycles contain 55738407 unique relations
  311. Mon Aug 10 12:53:55 2026 read 55738407 relations
  312. Mon Aug 10 12:54:10 2026 using 20 quadratic characters above 4294917295
  313. Mon Aug 10 12:54:30 2026 building initial matrix
  314. Mon Aug 10 12:56:23 2026
  315. Mon Aug 10 12:56:23 2026
  316. Mon Aug 10 12:56:23 2026 Msieve v. 1.54 (SVN unknown)
  317. Mon Aug 10 12:56:23 2026 random seeds: 1818163c 1cf51167
  318. Mon Aug 10 12:56:23 2026 Using 14 OpenMP threads
  319. Mon Aug 10 12:56:23 2026 factoring 280264977148198727475595835561025465719674859663111699361220052280388386456811698352422228908226295980110067135244111759661366876175984983351953188564951279167402313976056045717267541 (183 digits)
  320. Mon Aug 10 12:56:23 2026 no P-1/P+1/ECM available, skipping
  321. Mon Aug 10 12:56:23 2026 commencing number field sieve (183-digit input)
  322. Mon Aug 10 12:56:23 2026 R0: -302373103001840496072794392623995033
  323. Mon Aug 10 12:56:23 2026 R1: 58958421689715064693511
  324. Mon Aug 10 12:56:23 2026 A0: -230628868106431738173949771021343942925597240
  325. Mon Aug 10 12:56:23 2026 A1: -7196585837893771008938965563233970542
  326. Mon Aug 10 12:56:23 2026 A2: 836630598661015441244544068131
  327. Mon Aug 10 12:56:23 2026 A3: -2465553130084580317098
  328. Mon Aug 10 12:56:23 2026 A4: -223080491136
  329. Mon Aug 10 12:56:23 2026 A5: 110880
  330. Mon Aug 10 12:56:23 2026 skew 115392772.93, size 1.123e-17, alpha -8.659, combined = 7.803e-14 rroots = 3
  331. Mon Aug 10 12:56:23 2026
  332. Mon Aug 10 12:56:23 2026 commencing square root phase
  333. Mon Aug 10 12:56:23 2026 reading relations for dependency 1
  334. Mon Aug 10 12:56:23 2026 error: read_cycles can't open dependency file
  335. Mon Aug 10 13:06:48 2026 memory use: 7913.7 MB
  336. Mon Aug 10 13:07:21 2026 read 15590591 cycles
  337. Mon Aug 10 13:07:23 2026 matrix is 15590413 x 15590591 (7908.6 MB) with weight 2434471989 (156.15/col)
  338. Mon Aug 10 13:07:23 2026 sparse part has weight 1886105294 (120.98/col)
  339. Mon Aug 10 13:09:58 2026 filtering completed in 2 passes
  340. Mon Aug 10 13:10:02 2026 matrix is 15589912 x 15590087 (7908.5 MB) with weight 2434444477 (156.15/col)
  341. Mon Aug 10 13:10:02 2026 sparse part has weight 1886096876 (120.98/col)
  342. Mon Aug 10 13:11:37 2026 BLanczosTime: 3370
  343. Mon Aug 10 13:11:37 2026 elapsed time 02:33:18
  344. Mon Aug 10 18:25:27 2026
  345. Mon Aug 10 18:25:27 2026
  346. Mon Aug 10 18:25:27 2026 Msieve v. 1.54 (SVN unknown)
  347. Mon Aug 10 18:25:27 2026 random seeds: 3dee86c7 a710d760
  348. Mon Aug 10 18:25:27 2026 Using 8 OpenMP threads
  349. Mon Aug 10 18:25:27 2026 factoring 280264977148198727475595835561025465719674859663111699361220052280388386456811698352422228908226295980110067135244111759661366876175984983351953188564951279167402313976056045717267541 (183 digits)
  350. Mon Aug 10 18:25:28 2026 no P-1/P+1/ECM available, skipping
  351. Mon Aug 10 18:25:28 2026 commencing number field sieve (183-digit input)
  352. Mon Aug 10 18:25:28 2026 R0: -302373103001840496072794392623995033
  353. Mon Aug 10 18:25:28 2026 R1: 58958421689715064693511
  354. Mon Aug 10 18:25:28 2026 A0: -230628868106431738173949771021343942925597240
  355. Mon Aug 10 18:25:28 2026 A1: -7196585837893771008938965563233970542
  356. Mon Aug 10 18:25:28 2026 A2: 836630598661015441244544068131
  357. Mon Aug 10 18:25:28 2026 A3: -2465553130084580317098
  358. Mon Aug 10 18:25:28 2026 A4: -223080491136
  359. Mon Aug 10 18:25:28 2026 A5: 110880
  360. Mon Aug 10 18:25:28 2026 skew 115392772.93, size 1.123e-17, alpha -8.659, combined = 7.803e-14 rroots = 3
  361. Mon Aug 10 18:25:28 2026
  362. Mon Aug 10 18:25:28 2026 commencing linear algebra
  363. Mon Aug 10 18:25:28 2026 using VBITS=256
  364. Mon Aug 10 18:25:28 2026 skipping matrix build
  365. Mon Aug 10 18:25:36 2026 matrix starts at (0, 0)
  366. Mon Aug 10 18:25:38 2026 matrix is 15589912 x 15590087 (7908.5 MB) with weight 2434444477 (156.15/col)
  367. Mon Aug 10 18:25:38 2026 sparse part has weight 1886096876 (120.98/col)
  368. Mon Aug 10 18:25:38 2026 saving the first 240 matrix rows for later
  369. Mon Aug 10 18:25:42 2026 matrix includes 256 packed rows
  370. Mon Aug 10 18:25:48 2026 matrix is 15589672 x 15590087 (7177.8 MB) with weight 1734175909 (111.24/col)
  371. Mon Aug 10 18:25:48 2026 sparse part has weight 1632168120 (104.69/col)
  372. Mon Aug 10 18:25:48 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  373. Mon Aug 10 18:25:48 2026 selected card has CUDA arch 12.0
  374. Mon Aug 10 18:25:51 2026 computed block_nnz 164667360 (L2 cache 100663296 bytes, average column weight 104.7)
  375. Mon Aug 10 18:25:51 2026 nonzeros per matrix block: 256000000
  376. Mon Aug 10 18:29:43 2026 commencing Lanczos iteration
  377. Mon Aug 10 18:29:44 2026 memory use: 17091.2 MB
  378. Mon Aug 10 18:29:57 2026 linear algebra at 0.2%, ETA 1h41m
  379. Mon Aug 10 18:30:15 2026 checking every 150000 dimensions, checkpointing every 9300000 dimensions
  380. Mon Aug 10 20:11:55 2026 lanczos halted after 61081 iterations (dim = 15589672)
  381. Mon Aug 10 20:13:51 2026 recovered 32 nontrivial dependencies
  382. Mon Aug 10 20:13:52 2026 BLanczosTime: 6504
  383. Mon Aug 10 20:13:52 2026 elapsed time 01:48:25
  384. Mon Aug 10 16:14:39 2026
  385. Mon Aug 10 16:14:39 2026
  386. Mon Aug 10 16:14:39 2026 Msieve v. 1.54 (SVN unknown)
  387. Mon Aug 10 16:14:39 2026 random seeds: b28b0ec3 13a4f784
  388. Mon Aug 10 16:14:39 2026 Using 14 OpenMP threads
  389. Mon Aug 10 16:14:39 2026 factoring 280264977148198727475595835561025465719674859663111699361220052280388386456811698352422228908226295980110067135244111759661366876175984983351953188564951279167402313976056045717267541 (183 digits)
  390. Mon Aug 10 16:14:39 2026 no P-1/P+1/ECM available, skipping
  391. Mon Aug 10 16:14:39 2026 commencing number field sieve (183-digit input)
  392. Mon Aug 10 16:14:39 2026 R0: -302373103001840496072794392623995033
  393. Mon Aug 10 16:14:39 2026 R1: 58958421689715064693511
  394. Mon Aug 10 16:14:39 2026 A0: -230628868106431738173949771021343942925597240
  395. Mon Aug 10 16:14:39 2026 A1: -7196585837893771008938965563233970542
  396. Mon Aug 10 16:14:39 2026 A2: 836630598661015441244544068131
  397. Mon Aug 10 16:14:39 2026 A3: -2465553130084580317098
  398. Mon Aug 10 16:14:39 2026 A4: -223080491136
  399. Mon Aug 10 16:14:39 2026 A5: 110880
  400. Mon Aug 10 16:14:39 2026 skew 115392772.93, size 1.123e-17, alpha -8.659, combined = 7.803e-14 rroots = 3
  401. Mon Aug 10 16:14:39 2026
  402. Mon Aug 10 16:14:39 2026 commencing square root phase
  403. Mon Aug 10 16:14:39 2026 reading relations for dependency 1
  404. Mon Aug 10 16:14:47 2026 read 7794178 cycles
  405. Mon Aug 10 16:15:05 2026 cycles contain 27867304 unique relations
  406. Mon Aug 10 16:18:45 2026 read 27867304 relations
  407. Mon Aug 10 16:20:11 2026 multiplying 27867304 relations
  408. Mon Aug 10 16:22:33 2026 multiply complete, coefficients have about 1580.34 million bits
  409. Mon Aug 10 16:22:36 2026 initial square root is modulo 12273803
  410. Mon Aug 10 16:27:35 2026 GCD is N, no factor found
  411. Mon Aug 10 16:27:35 2026 reading relations for dependency 2
  412. Mon Aug 10 16:27:36 2026 read 7790688 cycles
  413. Mon Aug 10 16:27:45 2026 cycles contain 27855420 unique relations
  414. Mon Aug 10 16:28:20 2026 read 27855420 relations
  415. Mon Aug 10 16:29:34 2026 multiplying 27855420 relations
  416. Mon Aug 10 16:31:53 2026 multiply complete, coefficients have about 1579.65 million bits
  417. Mon Aug 10 16:31:56 2026 initial square root is modulo 12186821
  418. Mon Aug 10 16:36:42 2026 GCD is N, no factor found
  419. Mon Aug 10 16:36:42 2026 reading relations for dependency 3
  420. Mon Aug 10 16:36:43 2026 read 7796145 cycles
  421. Mon Aug 10 16:36:53 2026 cycles contain 27866326 unique relations
  422. Mon Aug 10 16:37:22 2026 read 27866326 relations
  423. Mon Aug 10 16:38:34 2026 multiplying 27866326 relations
  424. Mon Aug 10 16:40:52 2026 multiply complete, coefficients have about 1580.27 million bits
  425. Mon Aug 10 16:40:55 2026 initial square root is modulo 12264947
  426. Mon Aug 10 16:45:45 2026 sqrtTime: 1866
  427. Mon Aug 10 16:45:45 2026 p63 factor: 888519256706791495698333301977010604143765704992371113847613207
  428. Mon Aug 10 16:45:45 2026 p120 factor: 315429266200682098251101948332208613610382928691784366150982089375960891861781855919270761995463948757692181914203976563
  429. Mon Aug 10 16:45:45 2026 elapsed time 00:31:06
  430.  
Tags: math
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