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Jan 6th, 2026
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  1. Mon Jan 5 21:16:28 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Mon Jan 5 21:16:28 2026 random seeds: b851403d 4255fea1
  3. Mon Jan 5 21:16:28 2026 Using 32 OpenMP threads
  4. Mon Jan 5 21:16:28 2026 factoring 1073769864073401387985528398757467076328662383736933495373690354939071516933466709211530165414228290604545222059132073577005969083157970130367572086641399719762475883041876593997820192425391042421479752241606864764960058511537504855324776605881099456991626639076933345653 (271 digits)
  5. Mon Jan 5 21:16:29 2026 no P-1/P+1/ECM available, skipping
  6. Mon Jan 5 21:16:29 2026 commencing number field sieve (271-digit input)
  7. Mon Jan 5 21:16:29 2026 R0: 1011933255517223812747688083714707186464647562
  8. Mon Jan 5 21:16:29 2026 R1: -31810898376456201755581
  9. Mon Jan 5 21:16:29 2026 A0: -1
  10. Mon Jan 5 21:16:29 2026 A1: 3
  11. Mon Jan 5 21:16:29 2026 A2: 6
  12. Mon Jan 5 21:16:29 2026 A3: -4
  13. Mon Jan 5 21:16:29 2026 A4: -5
  14. Mon Jan 5 21:16:29 2026 A5: 1
  15. Mon Jan 5 21:16:29 2026 A6: 1
  16. Mon Jan 5 21:16:29 2026 skew 1.39, size 3.120e-13, alpha 3.126, combined = 4.685e-14 rroots = 6
  17. Mon Jan 5 21:16:29 2026
  18. Mon Jan 5 21:16:29 2026 commencing relation filtering
  19. Mon Jan 5 21:16:29 2026 setting target matrix density to 110.0
  20. Mon Jan 5 21:16:29 2026 estimated available RAM is 128740.1 MB
  21. Mon Jan 5 21:16:29 2026 commencing duplicate removal, pass 1
  22. Mon Jan 5 21:20:01 2026 skipped 1371 relations with b > 2^32
  23. Mon Jan 5 21:20:01 2026 skipped 5 malformed relations
  24. Mon Jan 5 21:20:01 2026 found 17293396 hash collisions in 397307062 relations
  25. Mon Jan 5 21:20:04 2026 added 2438358 free relations
  26. Mon Jan 5 21:20:04 2026 commencing duplicate removal, pass 2
  27. Mon Jan 5 21:21:05 2026 found 0 duplicates and 399745420 unique relations
  28. Mon Jan 5 21:21:05 2026 memory use: 1108.8 MB
  29. Mon Jan 5 21:21:05 2026 reading ideals above 720000
  30. Mon Jan 5 21:21:05 2026 commencing singleton removal, initial pass
  31. Mon Jan 5 21:32:08 2026 memory use: 11024.0 MB
  32. Mon Jan 5 21:32:08 2026 reading all ideals from disk
  33. Mon Jan 5 21:32:11 2026 memory use: 19893.3 MB
  34. Mon Jan 5 21:32:28 2026 keeping 336655459 ideals with weight <= 200, target excess is 2068319
  35. Mon Jan 5 21:32:50 2026 commencing in-memory singleton removal
  36. Mon Jan 5 21:32:57 2026 begin with 399745420 relations and 336655459 unique ideals
  37. Mon Jan 5 21:33:35 2026 reduce to 320643950 relations and 254618230 ideals in 14 passes
  38. Mon Jan 5 21:33:35 2026 max relations containing the same ideal: 183
  39. Mon Jan 5 21:34:27 2026 removing 13786864 relations and 11786864 ideals in 2000000 cliques
  40. Mon Jan 5 21:34:32 2026 commencing in-memory singleton removal
  41. Mon Jan 5 21:34:37 2026 begin with 306857086 relations and 254618230 unique ideals
  42. Mon Jan 5 21:34:56 2026 reduce to 306414492 relations and 242384816 ideals in 8 passes
  43. Mon Jan 5 21:34:56 2026 max relations containing the same ideal: 178
  44. Mon Jan 5 21:35:47 2026 removing 10385004 relations and 8385004 ideals in 2000000 cliques
  45. Mon Jan 5 21:35:51 2026 commencing in-memory singleton removal
  46. Mon Jan 5 21:35:56 2026 begin with 296029488 relations and 242384816 unique ideals
  47. Mon Jan 5 21:36:13 2026 reduce to 295748479 relations and 233716745 ideals in 7 passes
  48. Mon Jan 5 21:36:13 2026 max relations containing the same ideal: 174
  49. Mon Jan 5 21:37:00 2026 removing 9305831 relations and 7305831 ideals in 2000000 cliques
  50. Mon Jan 5 21:37:04 2026 commencing in-memory singleton removal
  51. Mon Jan 5 21:37:09 2026 begin with 286442648 relations and 233716745 unique ideals
  52. Mon Jan 5 21:37:25 2026 reduce to 286203030 relations and 226169568 ideals in 7 passes
  53. Mon Jan 5 21:37:25 2026 max relations containing the same ideal: 171
  54. Mon Jan 5 21:38:12 2026 removing 8708328 relations and 6708328 ideals in 2000000 cliques
  55. Mon Jan 5 21:38:16 2026 commencing in-memory singleton removal
  56. Mon Jan 5 21:38:20 2026 begin with 277494702 relations and 226169568 unique ideals
  57. Mon Jan 5 21:38:38 2026 reduce to 277276136 relations and 219241116 ideals in 8 passes
  58. Mon Jan 5 21:38:38 2026 max relations containing the same ideal: 169
  59. Mon Jan 5 21:39:22 2026 removing 8303456 relations and 6303456 ideals in 2000000 cliques
  60. Mon Jan 5 21:39:26 2026 commencing in-memory singleton removal
  61. Mon Jan 5 21:39:30 2026 begin with 268972680 relations and 219241116 unique ideals
  62. Mon Jan 5 21:39:45 2026 reduce to 268767558 relations and 212731067 ideals in 7 passes
  63. Mon Jan 5 21:39:45 2026 max relations containing the same ideal: 165
  64. Mon Jan 5 21:40:29 2026 removing 8013508 relations and 6013508 ideals in 2000000 cliques
  65. Mon Jan 5 21:40:33 2026 commencing in-memory singleton removal
  66. Mon Jan 5 21:40:37 2026 begin with 260754050 relations and 212731067 unique ideals
  67. Mon Jan 5 21:40:52 2026 reduce to 260555072 relations and 206517213 ideals in 7 passes
  68. Mon Jan 5 21:40:52 2026 max relations containing the same ideal: 163
  69. Mon Jan 5 21:41:34 2026 removing 7791700 relations and 5791700 ideals in 2000000 cliques
  70. Mon Jan 5 21:41:37 2026 commencing in-memory singleton removal
  71. Mon Jan 5 21:41:41 2026 begin with 252763372 relations and 206517213 unique ideals
  72. Mon Jan 5 21:41:53 2026 reduce to 252568697 relations and 200529448 ideals in 6 passes
  73. Mon Jan 5 21:41:53 2026 max relations containing the same ideal: 160
  74. Mon Jan 5 21:42:35 2026 removing 7621333 relations and 5621333 ideals in 2000000 cliques
  75. Mon Jan 5 21:42:38 2026 commencing in-memory singleton removal
  76. Mon Jan 5 21:42:42 2026 begin with 244947364 relations and 200529448 unique ideals
  77. Mon Jan 5 21:42:54 2026 reduce to 244757770 relations and 194717059 ideals in 6 passes
  78. Mon Jan 5 21:42:54 2026 max relations containing the same ideal: 156
  79. Mon Jan 5 21:43:34 2026 removing 7487057 relations and 5487057 ideals in 2000000 cliques
  80. Mon Jan 5 21:43:38 2026 commencing in-memory singleton removal
  81. Mon Jan 5 21:43:41 2026 begin with 237270713 relations and 194717059 unique ideals
  82. Mon Jan 5 21:43:53 2026 reduce to 237082495 relations and 189040280 ideals in 6 passes
  83. Mon Jan 5 21:43:53 2026 max relations containing the same ideal: 153
  84. Mon Jan 5 21:44:32 2026 removing 7380247 relations and 5380247 ideals in 2000000 cliques
  85. Mon Jan 5 21:44:35 2026 commencing in-memory singleton removal
  86. Mon Jan 5 21:44:38 2026 begin with 229702248 relations and 189040280 unique ideals
  87. Mon Jan 5 21:44:51 2026 reduce to 229513347 relations and 183469530 ideals in 7 passes
  88. Mon Jan 5 21:44:51 2026 max relations containing the same ideal: 149
  89. Mon Jan 5 21:45:29 2026 removing 7290122 relations and 5290122 ideals in 2000000 cliques
  90. Mon Jan 5 21:45:32 2026 commencing in-memory singleton removal
  91. Mon Jan 5 21:45:35 2026 begin with 222223225 relations and 183469530 unique ideals
  92. Mon Jan 5 21:45:46 2026 reduce to 222032984 relations and 177987642 ideals in 6 passes
  93. Mon Jan 5 21:45:46 2026 max relations containing the same ideal: 145
  94. Mon Jan 5 21:46:23 2026 removing 7220774 relations and 5220774 ideals in 2000000 cliques
  95. Mon Jan 5 21:46:26 2026 commencing in-memory singleton removal
  96. Mon Jan 5 21:46:30 2026 begin with 214812210 relations and 177987642 unique ideals
  97. Mon Jan 5 21:46:40 2026 reduce to 214619770 relations and 172572679 ideals in 6 passes
  98. Mon Jan 5 21:46:40 2026 max relations containing the same ideal: 142
  99. Mon Jan 5 21:47:16 2026 removing 7160653 relations and 5160653 ideals in 2000000 cliques
  100. Mon Jan 5 21:47:19 2026 commencing in-memory singleton removal
  101. Mon Jan 5 21:47:22 2026 begin with 207459117 relations and 172572679 unique ideals
  102. Mon Jan 5 21:47:32 2026 reduce to 207264467 relations and 167215593 ideals in 6 passes
  103. Mon Jan 5 21:47:32 2026 max relations containing the same ideal: 140
  104. Mon Jan 5 21:48:07 2026 removing 7113547 relations and 5113547 ideals in 2000000 cliques
  105. Mon Jan 5 21:48:11 2026 commencing in-memory singleton removal
  106. Mon Jan 5 21:48:14 2026 begin with 200150920 relations and 167215593 unique ideals
  107. Mon Jan 5 21:48:25 2026 reduce to 199953607 relations and 161902830 ideals in 7 passes
  108. Mon Jan 5 21:48:25 2026 max relations containing the same ideal: 137
  109. Mon Jan 5 21:48:58 2026 removing 7072203 relations and 5072203 ideals in 2000000 cliques
  110. Mon Jan 5 21:49:01 2026 commencing in-memory singleton removal
  111. Mon Jan 5 21:49:04 2026 begin with 192881404 relations and 161902830 unique ideals
  112. Mon Jan 5 21:49:13 2026 reduce to 192680716 relations and 156627964 ideals in 6 passes
  113. Mon Jan 5 21:49:13 2026 max relations containing the same ideal: 135
  114. Mon Jan 5 21:49:46 2026 removing 7046346 relations and 5046346 ideals in 2000000 cliques
  115. Mon Jan 5 21:49:48 2026 commencing in-memory singleton removal
  116. Mon Jan 5 21:49:51 2026 begin with 185634370 relations and 156627964 unique ideals
  117. Mon Jan 5 21:50:01 2026 reduce to 185428440 relations and 151373552 ideals in 7 passes
  118. Mon Jan 5 21:50:01 2026 max relations containing the same ideal: 134
  119. Mon Jan 5 21:50:33 2026 removing 7025524 relations and 5025524 ideals in 2000000 cliques
  120. Mon Jan 5 21:50:35 2026 commencing in-memory singleton removal
  121. Mon Jan 5 21:50:38 2026 begin with 178402916 relations and 151373552 unique ideals
  122. Mon Jan 5 21:50:48 2026 reduce to 178190670 relations and 146133547 ideals in 7 passes
  123. Mon Jan 5 21:50:48 2026 max relations containing the same ideal: 131
  124. Mon Jan 5 21:51:19 2026 removing 7011966 relations and 5011966 ideals in 2000000 cliques
  125. Mon Jan 5 21:51:21 2026 commencing in-memory singleton removal
  126. Mon Jan 5 21:51:24 2026 begin with 171178704 relations and 146133547 unique ideals
  127. Mon Jan 5 21:51:33 2026 reduce to 170959955 relations and 140900415 ideals in 7 passes
  128. Mon Jan 5 21:51:33 2026 max relations containing the same ideal: 124
  129. Mon Jan 5 21:52:03 2026 removing 7008520 relations and 5008520 ideals in 2000000 cliques
  130. Mon Jan 5 21:52:05 2026 commencing in-memory singleton removal
  131. Mon Jan 5 21:52:08 2026 begin with 163951435 relations and 140900415 unique ideals
  132. Mon Jan 5 21:52:17 2026 reduce to 163724206 relations and 135662080 ideals in 7 passes
  133. Mon Jan 5 21:52:17 2026 max relations containing the same ideal: 119
  134. Mon Jan 5 21:52:45 2026 removing 7007095 relations and 5007095 ideals in 2000000 cliques
  135. Mon Jan 5 21:52:48 2026 commencing in-memory singleton removal
  136. Mon Jan 5 21:52:50 2026 begin with 156717111 relations and 135662080 unique ideals
  137. Mon Jan 5 21:52:59 2026 reduce to 156482223 relations and 130417338 ideals in 7 passes
  138. Mon Jan 5 21:52:59 2026 max relations containing the same ideal: 116
  139. Mon Jan 5 21:53:26 2026 removing 7015411 relations and 5015411 ideals in 2000000 cliques
  140. Mon Jan 5 21:53:28 2026 commencing in-memory singleton removal
  141. Mon Jan 5 21:53:31 2026 begin with 149466812 relations and 130417338 unique ideals
  142. Mon Jan 5 21:53:38 2026 reduce to 149222295 relations and 125154417 ideals in 6 passes
  143. Mon Jan 5 21:53:38 2026 max relations containing the same ideal: 113
  144. Mon Jan 5 21:54:04 2026 removing 7031417 relations and 5031417 ideals in 2000000 cliques
  145. Mon Jan 5 21:54:06 2026 commencing in-memory singleton removal
  146. Mon Jan 5 21:54:08 2026 begin with 142190878 relations and 125154417 unique ideals
  147. Mon Jan 5 21:54:16 2026 reduce to 141934126 relations and 119862956 ideals in 7 passes
  148. Mon Jan 5 21:54:16 2026 max relations containing the same ideal: 109
  149. Mon Jan 5 21:54:41 2026 removing 7047750 relations and 5047750 ideals in 2000000 cliques
  150. Mon Jan 5 21:54:43 2026 commencing in-memory singleton removal
  151. Mon Jan 5 21:54:45 2026 begin with 134886376 relations and 119862956 unique ideals
  152. Mon Jan 5 21:54:54 2026 reduce to 134617887 relations and 114543188 ideals in 8 passes
  153. Mon Jan 5 21:54:54 2026 max relations containing the same ideal: 104
  154. Mon Jan 5 21:55:18 2026 removing 7076425 relations and 5076425 ideals in 2000000 cliques
  155. Mon Jan 5 21:55:20 2026 commencing in-memory singleton removal
  156. Mon Jan 5 21:55:22 2026 begin with 127541462 relations and 114543188 unique ideals
  157. Mon Jan 5 21:55:28 2026 reduce to 127258051 relations and 109179373 ideals in 6 passes
  158. Mon Jan 5 21:55:28 2026 max relations containing the same ideal: 101
  159. Mon Jan 5 21:55:51 2026 removing 7107501 relations and 5107501 ideals in 2000000 cliques
  160. Mon Jan 5 21:55:53 2026 commencing in-memory singleton removal
  161. Mon Jan 5 21:55:55 2026 begin with 120150550 relations and 109179373 unique ideals
  162. Mon Jan 5 21:56:02 2026 reduce to 119850339 relations and 103767238 ideals in 8 passes
  163. Mon Jan 5 21:56:02 2026 max relations containing the same ideal: 97
  164. Mon Jan 5 21:56:24 2026 removing 7150775 relations and 5150775 ideals in 2000000 cliques
  165. Mon Jan 5 21:56:26 2026 commencing in-memory singleton removal
  166. Mon Jan 5 21:56:27 2026 begin with 112699564 relations and 103767238 unique ideals
  167. Mon Jan 5 21:56:33 2026 reduce to 112377268 relations and 98289352 ideals in 7 passes
  168. Mon Jan 5 21:56:33 2026 max relations containing the same ideal: 92
  169. Mon Jan 5 21:56:54 2026 removing 7195277 relations and 5195277 ideals in 2000000 cliques
  170. Mon Jan 5 21:56:56 2026 commencing in-memory singleton removal
  171. Mon Jan 5 21:56:58 2026 begin with 105181991 relations and 98289352 unique ideals
  172. Mon Jan 5 21:57:04 2026 reduce to 104838164 relations and 92744793 ideals in 8 passes
  173. Mon Jan 5 21:57:04 2026 max relations containing the same ideal: 89
  174. Mon Jan 5 21:57:23 2026 removing 7250912 relations and 5250912 ideals in 2000000 cliques
  175. Mon Jan 5 21:57:25 2026 commencing in-memory singleton removal
  176. Mon Jan 5 21:57:26 2026 begin with 97587252 relations and 92744793 unique ideals
  177. Mon Jan 5 21:57:32 2026 reduce to 97217135 relations and 87117529 ideals in 7 passes
  178. Mon Jan 5 21:57:32 2026 max relations containing the same ideal: 85
  179. Mon Jan 5 21:57:50 2026 removing 7319065 relations and 5319065 ideals in 2000000 cliques
  180. Mon Jan 5 21:57:52 2026 commencing in-memory singleton removal
  181. Mon Jan 5 21:57:53 2026 begin with 89898070 relations and 87117529 unique ideals
  182. Mon Jan 5 21:57:58 2026 reduce to 89492136 relations and 81385197 ideals in 7 passes
  183. Mon Jan 5 21:57:58 2026 max relations containing the same ideal: 83
  184. Mon Jan 5 21:58:15 2026 removing 7395961 relations and 5395961 ideals in 2000000 cliques
  185. Mon Jan 5 21:58:16 2026 commencing in-memory singleton removal
  186. Mon Jan 5 21:58:17 2026 begin with 82096175 relations and 81385197 unique ideals
  187. Mon Jan 5 21:58:22 2026 reduce to 81646072 relations and 75530642 ideals in 8 passes
  188. Mon Jan 5 21:58:22 2026 max relations containing the same ideal: 79
  189. Mon Jan 5 21:58:38 2026 removing 7483208 relations and 5483208 ideals in 2000000 cliques
  190. Mon Jan 5 21:58:40 2026 commencing in-memory singleton removal
  191. Mon Jan 5 21:58:41 2026 begin with 74162864 relations and 75530642 unique ideals
  192. Mon Jan 5 21:58:45 2026 reduce to 73657718 relations and 69531889 ideals in 8 passes
  193. Mon Jan 5 21:58:45 2026 max relations containing the same ideal: 73
  194. Mon Jan 5 21:58:59 2026 removing 6725507 relations and 4998929 ideals in 1726578 cliques
  195. Mon Jan 5 21:59:01 2026 commencing in-memory singleton removal
  196. Mon Jan 5 21:59:02 2026 begin with 66932211 relations and 69531889 unique ideals
  197. Mon Jan 5 21:59:06 2026 reduce to 66479238 relations and 64070957 ideals in 8 passes
  198. Mon Jan 5 21:59:06 2026 max relations containing the same ideal: 68
  199. Mon Jan 5 21:59:19 2026 removing 75051 relations and 66021 ideals in 9030 cliques
  200. Mon Jan 5 21:59:20 2026 commencing in-memory singleton removal
  201. Mon Jan 5 21:59:21 2026 begin with 66404187 relations and 64070957 unique ideals
  202. Mon Jan 5 21:59:23 2026 reduce to 66404138 relations and 64004887 ideals in 4 passes
  203. Mon Jan 5 21:59:23 2026 max relations containing the same ideal: 67
  204. Mon Jan 5 21:59:28 2026 relations with 0 large ideals: 155434
  205. Mon Jan 5 21:59:28 2026 relations with 1 large ideals: 64496
  206. Mon Jan 5 21:59:28 2026 relations with 2 large ideals: 641918
  207. Mon Jan 5 21:59:28 2026 relations with 3 large ideals: 3395597
  208. Mon Jan 5 21:59:28 2026 relations with 4 large ideals: 9668319
  209. Mon Jan 5 21:59:28 2026 relations with 5 large ideals: 16275901
  210. Mon Jan 5 21:59:28 2026 relations with 6 large ideals: 17048549
  211. Mon Jan 5 21:59:28 2026 relations with 7+ large ideals: 19153924
  212. Mon Jan 5 21:59:28 2026 commencing 2-way merge
  213. Mon Jan 5 21:59:47 2026 reduce to 41944625 relation sets and 39545374 unique ideals
  214. Mon Jan 5 21:59:47 2026 commencing full merge
  215. Mon Jan 5 22:09:02 2026 memory use: 5327.8 MB
  216. Mon Jan 5 22:09:05 2026 found 19731289 cycles, need 19487574
  217. Mon Jan 5 22:09:08 2026 weight of 19487574 cycles is about 2144082174 (110.02/cycle)
  218. Mon Jan 5 22:09:09 2026 distribution of cycle lengths:
  219. Mon Jan 5 22:09:09 2026 1 relations: 1308212
  220. Mon Jan 5 22:09:09 2026 2 relations: 1411220
  221. Mon Jan 5 22:09:09 2026 3 relations: 1490064
  222. Mon Jan 5 22:09:09 2026 4 relations: 1477186
  223. Mon Jan 5 22:09:09 2026 5 relations: 1471849
  224. Mon Jan 5 22:09:09 2026 6 relations: 1446595
  225. Mon Jan 5 22:09:09 2026 7 relations: 1401133
  226. Mon Jan 5 22:09:09 2026 8 relations: 1330655
  227. Mon Jan 5 22:09:09 2026 9 relations: 1242829
  228. Mon Jan 5 22:09:09 2026 10+ relations: 6907831
  229. Mon Jan 5 22:09:09 2026 heaviest cycle: 28 relations
  230. Mon Jan 5 22:09:13 2026 commencing cycle optimization
  231. Mon Jan 5 22:09:38 2026 start with 157678899 relations
  232. Mon Jan 5 22:12:40 2026 pruned 6246598 relations
  233. Mon Jan 5 22:12:40 2026 memory use: 4346.0 MB
  234. Mon Jan 5 22:12:40 2026 distribution of cycle lengths:
  235. Mon Jan 5 22:12:40 2026 1 relations: 1308212
  236. Mon Jan 5 22:12:40 2026 2 relations: 1438737
  237. Mon Jan 5 22:12:40 2026 3 relations: 1542784
  238. Mon Jan 5 22:12:40 2026 4 relations: 1529472
  239. Mon Jan 5 22:12:40 2026 5 relations: 1536621
  240. Mon Jan 5 22:12:40 2026 6 relations: 1508349
  241. Mon Jan 5 22:12:40 2026 7 relations: 1466530
  242. Mon Jan 5 22:12:40 2026 8 relations: 1388942
  243. Mon Jan 5 22:12:40 2026 9 relations: 1292905
  244. Mon Jan 5 22:12:40 2026 10+ relations: 6475022
  245. Mon Jan 5 22:12:40 2026 heaviest cycle: 28 relations
  246. Mon Jan 5 22:12:57 2026 RelProcTime: 3388
  247. Mon Jan 5 22:12:57 2026 elapsed time 00:56:29
  248. Mon Jan 5 22:16:56 2026
  249. Mon Jan 5 22:16:56 2026
  250. Mon Jan 5 22:16:56 2026 Msieve v. 1.54 (SVN 573b9ef)
  251. Mon Jan 5 22:16:56 2026 random seeds: c47c81e2 8583d5eb
  252. Mon Jan 5 22:16:56 2026 MPI process 0 of 2
  253. Mon Jan 5 22:16:56 2026 Using 8 OpenMP threads
  254. Mon Jan 5 22:16:56 2026 factoring 1073769864073401387985528398757467076328662383736933495373690354939071516933466709211530165414228290604545222059132073577005969083157970130367572086641399719762475883041876593997820192425391042421479752241606864764960058511537504855324776605881099456991626639076933345653 (271 digits)
  255. Mon Jan 5 22:16:57 2026 no P-1/P+1/ECM available, skipping
  256. Mon Jan 5 22:16:57 2026 commencing number field sieve (271-digit input)
  257. Mon Jan 5 22:16:57 2026 R0: 1011933255517223812747688083714707186464647562
  258. Mon Jan 5 22:16:57 2026 R1: -31810898376456201755581
  259. Mon Jan 5 22:16:57 2026 A0: -1
  260. Mon Jan 5 22:16:57 2026 A1: 3
  261. Mon Jan 5 22:16:57 2026 A2: 6
  262. Mon Jan 5 22:16:57 2026 A3: -4
  263. Mon Jan 5 22:16:57 2026 A4: -5
  264. Mon Jan 5 22:16:57 2026 A5: 1
  265. Mon Jan 5 22:16:57 2026 A6: 1
  266. Mon Jan 5 22:16:57 2026 skew 1.39, size 3.120e-13, alpha 3.126, combined = 4.685e-14 rroots = 6
  267. Mon Jan 5 22:16:57 2026
  268. Mon Jan 5 22:16:57 2026 commencing linear algebra
  269. Mon Jan 5 22:16:57 2026 using VBITS=256
  270. Mon Jan 5 22:16:57 2026 initialized process (0,0) of 1 x 2 grid
  271. Mon Jan 5 22:16:58 2026 read 19487574 cycles
  272. Mon Jan 5 22:17:21 2026 cycles contain 65045629 unique relations
  273. Mon Jan 5 22:17:58 2026 read 65045629 relations
  274. Mon Jan 5 22:18:11 2026 using 20 quadratic characters above 4294917295
  275. Mon Jan 5 22:18:29 2026 building initial matrix
  276. Mon Jan 5 22:28:14 2026 memory use: 7957.5 MB
  277. Mon Jan 5 22:28:23 2026 read 19487574 cycles
  278. Mon Jan 5 22:28:25 2026 matrix is 19487395 x 19487574 (8467.8 MB) with weight 2391820878 (122.74/col)
  279. Mon Jan 5 22:28:25 2026 sparse part has weight 2024916146 (103.91/col)
  280. Mon Jan 5 22:32:20 2026 filtering completed in 2 passes
  281. Mon Jan 5 22:32:25 2026 matrix is 19485426 x 19485590 (8467.6 MB) with weight 2391750968 (122.74/col)
  282. Mon Jan 5 22:32:25 2026 sparse part has weight 2024883305 (103.92/col)
  283. Mon Jan 5 22:33:26 2026 matrix starts at (0, 0)
  284. Mon Jan 5 22:33:27 2026 matrix is 19485426 x 9742822 (4233.8 MB) with weight 1195874260 (122.74/col)
  285. Mon Jan 5 22:33:27 2026 sparse part has weight 1012441828 (103.92/col)
  286. Mon Jan 5 22:33:27 2026 saving the first 240 matrix rows for later
  287. Mon Jan 5 22:33:29 2026 matrix includes 256 packed rows
  288. Mon Jan 5 22:33:36 2026 matrix is 19485186 x 9742822 (3957.7 MB) with weight 925045527 (94.95/col)
  289. Mon Jan 5 22:33:36 2026 sparse part has weight 881608171 (90.49/col)
  290. Mon Jan 5 22:33:36 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  291. Mon Jan 5 22:33:36 2026 selected card has CUDA arch 8.6
  292. Mon Jan 5 22:35:16 2026 commencing Lanczos iteration
  293. Mon Jan 5 22:35:17 2026 memory use: 10108.2 MB
  294. Mon Jan 5 22:35:57 2026 linear algebra at 0.2%, ETA 6h42m
  295. Mon Jan 5 22:36:55 2026 checking every 40000 dimensions, checkpointing every 2920000 dimensions
  296. Tue Jan 6 01:42:12 2026 lanczos halted after 34793 iterations (dim = 8880227)
  297. Tue Jan 6 09:54:09 2026
  298. Tue Jan 6 09:54:09 2026
  299. Tue Jan 6 09:54:09 2026 Msieve v. 1.54 (SVN 573b9ef)
  300. Tue Jan 6 09:54:09 2026 random seeds: 3e476bc9 21224402
  301. Tue Jan 6 09:54:09 2026 MPI process 0 of 2
  302. Tue Jan 6 09:54:09 2026 Using 8 OpenMP threads
  303. Tue Jan 6 09:54:09 2026 factoring 1073769864073401387985528398757467076328662383736933495373690354939071516933466709211530165414228290604545222059132073577005969083157970130367572086641399719762475883041876593997820192425391042421479752241606864764960058511537504855324776605881099456991626639076933345653 (271 digits)
  304. Tue Jan 6 09:54:10 2026 no P-1/P+1/ECM available, skipping
  305. Tue Jan 6 09:54:10 2026 commencing number field sieve (271-digit input)
  306. Tue Jan 6 09:54:10 2026 R0: 1011933255517223812747688083714707186464647562
  307. Tue Jan 6 09:54:10 2026 R1: -31810898376456201755581
  308. Tue Jan 6 09:54:10 2026 A0: -1
  309. Tue Jan 6 09:54:10 2026 A1: 3
  310. Tue Jan 6 09:54:10 2026 A2: 6
  311. Tue Jan 6 09:54:10 2026 A3: -4
  312. Tue Jan 6 09:54:10 2026 A4: -5
  313. Tue Jan 6 09:54:10 2026 A5: 1
  314. Tue Jan 6 09:54:10 2026 A6: 1
  315. Tue Jan 6 09:54:10 2026 skew 1.39, size 3.120e-13, alpha 3.126, combined = 4.685e-14 rroots = 6
  316. Tue Jan 6 09:54:10 2026
  317. Tue Jan 6 09:54:10 2026 commencing linear algebra
  318. Tue Jan 6 09:54:10 2026 using VBITS=256
  319. Tue Jan 6 09:54:10 2026 initialized process (0,0) of 1 x 2 grid
  320. Tue Jan 6 09:54:23 2026 matrix starts at (0, 0)
  321. Tue Jan 6 09:54:25 2026 matrix is 19485426 x 9742822 (4233.8 MB) with weight 1195874260 (122.74/col)
  322. Tue Jan 6 09:54:25 2026 sparse part has weight 1012441828 (103.92/col)
  323. Tue Jan 6 09:54:25 2026 saving the first 240 matrix rows for later
  324. Tue Jan 6 09:54:32 2026 matrix includes 256 packed rows
  325. Tue Jan 6 09:54:37 2026 matrix is 19485186 x 9742822 (3957.7 MB) with weight 925045527 (94.95/col)
  326. Tue Jan 6 09:54:37 2026 sparse part has weight 881608171 (90.49/col)
  327. Tue Jan 6 09:54:37 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  328. Tue Jan 6 09:54:37 2026 selected card has CUDA arch 8.6
  329. Tue Jan 6 09:59:54 2026 commencing Lanczos iteration
  330. Tue Jan 6 09:59:57 2026 memory use: 10108.2 MB
  331. Tue Jan 6 10:00:09 2026 restarting at iteration 34322 (dim = 8760030)
  332. Tue Jan 6 10:00:49 2026 linear algebra at 45.1%, ETA 3h52m
  333. Tue Jan 6 10:01:42 2026 checking every 40000 dimensions, checkpointing every 2800000 dimensions
  334. Tue Jan 6 13:46:51 2026 lanczos halted after 76344 iterations (dim = 19485184)
  335. Tue Jan 6 13:48:15 2026 recovered 32 nontrivial dependencies
  336. Tue Jan 6 13:48:15 2026 BLanczosTime: 14045
  337. Tue Jan 6 13:48:15 2026 elapsed time 03:54:06
  338. Tue Jan 6 16:10:24 2026
  339. Tue Jan 6 16:10:24 2026
  340. Tue Jan 6 16:10:24 2026 Msieve v. 1.54 (SVN 573b9ef)
  341. Tue Jan 6 16:10:24 2026 random seeds: 959fe01a 2724eba8
  342. Tue Jan 6 16:10:24 2026 Using 32 OpenMP threads
  343. Tue Jan 6 16:10:24 2026 factoring 1073769864073401387985528398757467076328662383736933495373690354939071516933466709211530165414228290604545222059132073577005969083157970130367572086641399719762475883041876593997820192425391042421479752241606864764960058511537504855324776605881099456991626639076933345653 (271 digits)
  344. Tue Jan 6 16:10:24 2026 no P-1/P+1/ECM available, skipping
  345. Tue Jan 6 16:10:24 2026 commencing number field sieve (271-digit input)
  346. Tue Jan 6 16:10:24 2026 R0: 1011933255517223812747688083714707186464647562
  347. Tue Jan 6 16:10:24 2026 R1: -31810898376456201755581
  348. Tue Jan 6 16:10:24 2026 A0: -1
  349. Tue Jan 6 16:10:24 2026 A1: 3
  350. Tue Jan 6 16:10:24 2026 A2: 6
  351. Tue Jan 6 16:10:24 2026 A3: -4
  352. Tue Jan 6 16:10:24 2026 A4: -5
  353. Tue Jan 6 16:10:24 2026 A5: 1
  354. Tue Jan 6 16:10:24 2026 A6: 1
  355. Tue Jan 6 16:10:24 2026 skew 1.39, size 3.120e-13, alpha 3.126, combined = 4.685e-14 rroots = 6
  356. Tue Jan 6 16:10:24 2026
  357. Tue Jan 6 16:10:24 2026 commencing square root phase
  358. Tue Jan 6 16:10:24 2026 reading relations for dependency 1
  359. Tue Jan 6 16:10:26 2026 read 9739663 cycles
  360. Tue Jan 6 16:10:37 2026 cycles contain 32520556 unique relations
  361. Tue Jan 6 16:11:17 2026 read 32520556 relations
  362. Tue Jan 6 16:12:31 2026 multiplying 32520556 relations
  363. Tue Jan 6 16:14:00 2026 multiply complete, coefficients have about 850.96 million bits
  364. Tue Jan 6 16:14:01 2026 initial square root is modulo 43089239
  365. Tue Jan 6 16:17:16 2026 sqrtTime: 412
  366. Tue Jan 6 16:17:16 2026 p89 factor: 10885510331531957148811459685747910043506068395407012604592364592707759921600692223231551
  367. Tue Jan 6 16:17:16 2026 p182 factor: 98642124380978459864833848784911190404359732359451221244763867523308010457296814847339171450563903651441195591872873616555503062139913468023837362581802284942547801860427102027101003
  368. Tue Jan 6 16:17:16 2026 elapsed time 00:06:52
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