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Mar 2nd, 2026
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  1. Sat Feb 28 00:58:31 2026
  2. Sat Feb 28 00:58:31 2026
  3. Sat Feb 28 00:58:31 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Feb 28 00:58:31 2026 random seeds: 809f72fc 8b98b435
  5. Sat Feb 28 00:58:31 2026 MPI process 0 of 1
  6. Sat Feb 28 00:58:31 2026 Using 32 OpenMP threads
  7. Sat Feb 28 00:58:31 2026 factoring 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (269 digits)
  8. Sat Feb 28 00:58:32 2026 searching for 15-digit factors
  9. Sat Feb 28 00:58:33 2026 commencing number field sieve (269-digit input)
  10. Sat Feb 28 00:58:33 2026 R0: -500000000000000000000000000000000000000000000
  11. Sat Feb 28 00:58:33 2026 R1: 1
  12. Sat Feb 28 00:58:33 2026 A0: -25
  13. Sat Feb 28 00:58:33 2026 A1: 0
  14. Sat Feb 28 00:58:33 2026 A2: 0
  15. Sat Feb 28 00:58:33 2026 A3: 0
  16. Sat Feb 28 00:58:33 2026 A4: 0
  17. Sat Feb 28 00:58:33 2026 A5: 0
  18. Sat Feb 28 00:58:33 2026 A6: 152
  19. Sat Feb 28 00:58:33 2026 skew 1.00, size 2.251e-13, alpha -0.087, combined = 3.810e-14 rroots = 2
  20. Sat Feb 28 00:58:33 2026
  21. Sat Feb 28 00:58:33 2026 commencing relation filtering
  22. Sat Feb 28 00:58:33 2026 setting target matrix density to 124.0
  23. Sat Feb 28 00:58:33 2026 estimated available RAM is 257736.5 MB
  24. Sat Feb 28 00:58:33 2026 commencing duplicate removal, pass 1
  25. Sat Feb 28 00:59:44 2026 error -5 reading relation 29414089
  26. Sat Feb 28 01:00:18 2026 error -1 reading relation 43354478
  27. Sat Feb 28 01:00:25 2026 error -1 reading relation 45932966
  28. Sat Feb 28 01:01:42 2026 error -15 reading relation 78201283
  29. Sat Feb 28 01:02:12 2026 error -1 reading relation 91871862
  30. Sat Feb 28 01:02:18 2026 error -1 reading relation 95811476
  31. Sat Feb 28 01:02:18 2026 error -1 reading relation 95967668
  32. Sat Feb 28 01:02:25 2026 error -1 reading relation 100559350
  33. Sat Feb 28 01:03:01 2026 error -1 reading relation 124845165
  34. Sat Feb 28 01:03:23 2026 error -1 reading relation 139099109
  35. Sat Feb 28 01:04:03 2026 error -1 reading relation 166609170
  36. Sat Feb 28 01:04:11 2026 error -1 reading relation 172165627
  37. Sat Feb 28 01:04:13 2026 error -1 reading relation 173299070
  38. Sat Feb 28 01:04:15 2026 error -15 reading relation 175117227
  39. Sat Feb 28 01:04:23 2026 error -1 reading relation 180103394
  40. Sat Feb 28 01:04:32 2026 error -1 reading relation 186518333
  41. Sat Feb 28 01:04:33 2026 error -1 reading relation 187221473
  42. Sat Feb 28 01:04:50 2026 error -1 reading relation 198423832
  43. Sat Feb 28 01:05:05 2026 error -1 reading relation 207995014
  44. Sat Feb 28 01:05:18 2026 error -15 reading relation 216120212
  45. Sat Feb 28 01:05:31 2026 error -15 reading relation 224971610
  46. Sat Feb 28 01:06:20 2026 error -1 reading relation 258245164
  47. Sat Feb 28 01:06:28 2026 error -1 reading relation 264123054
  48. Sat Feb 28 01:14:05 2026 error -1 reading relation 271701231
  49. Sat Feb 28 01:14:14 2026 error -1 reading relation 277873822
  50. Sat Feb 28 01:14:24 2026 error -1 reading relation 284448888
  51. Sat Feb 28 01:14:33 2026 error -1 reading relation 290758122
  52. Sat Feb 28 01:14:35 2026 error -1 reading relation 292009478
  53. Sat Feb 28 01:14:52 2026 error -1 reading relation 302844395
  54. Sat Feb 28 01:15:49 2026 error -1 reading relation 329898762
  55. Sat Feb 28 01:15:56 2026 error -1 reading relation 332881349
  56. Sat Feb 28 01:16:07 2026 error -1 reading relation 336851970
  57. Sat Feb 28 01:16:20 2026 error -1 reading relation 341964891
  58. Sat Feb 28 01:17:05 2026 error -1 reading relation 359450845
  59. Sat Feb 28 01:17:11 2026 error -1 reading relation 361809129
  60. Sat Feb 28 01:17:26 2026 error -1 reading relation 368011982
  61. Sat Feb 28 01:17:30 2026 error -1 reading relation 369514632
  62. Sat Feb 28 01:17:56 2026 error -1 reading relation 379577590
  63. Sat Feb 28 01:18:25 2026 error -1 reading relation 390321494
  64. Sat Feb 28 01:18:46 2026 error -1 reading relation 398727523
  65. Sat Feb 28 01:18:51 2026 error -1 reading relation 400443628
  66. Sat Feb 28 01:18:54 2026 error -1 reading relation 401769598
  67. Sat Feb 28 01:19:20 2026 error -1 reading relation 411918943
  68. Sat Feb 28 01:19:27 2026 error -1 reading relation 414513289
  69. Sat Feb 28 01:19:31 2026 error -1 reading relation 416276079
  70. Sat Feb 28 01:19:51 2026 error -1 reading relation 424062369
  71. Sat Feb 28 01:19:51 2026 error -1 reading relation 424213383
  72. Sat Feb 28 01:19:51 2026 error -1 reading relation 424297524
  73. Sat Feb 28 01:19:54 2026 error -1 reading relation 425397839
  74. Sat Feb 28 01:19:54 2026 error -1 reading relation 425401339
  75. Sat Feb 28 01:20:04 2026 error -1 reading relation 429680053
  76. Sat Feb 28 01:20:06 2026 error -1 reading relation 430453111
  77. Sat Feb 28 01:20:55 2026 skipped 2898 relations with b > 2^32
  78. Sat Feb 28 01:20:55 2026 skipped 5 relations with composite factors
  79. Sat Feb 28 01:20:55 2026 skipped 472 malformed relations
  80. Sat Feb 28 01:20:55 2026 found 100351415 hash collisions in 449386988 relations
  81. Sat Feb 28 01:21:18 2026 added 1220079 free relations
  82. Sat Feb 28 01:21:18 2026 commencing duplicate removal, pass 2
  83. Sat Feb 28 01:30:49 2026 found 108283975 duplicates and 342323092 unique relations
  84. Sat Feb 28 01:30:49 2026 memory use: 2899.0 MB
  85. Sat Feb 28 01:30:49 2026 reading ideals above 720000
  86. Sat Feb 28 01:30:49 2026 commencing singleton removal, initial pass
  87. Sat Feb 28 01:49:48 2026 memory use: 11024.0 MB
  88. Sat Feb 28 01:49:48 2026 reading all ideals from disk
  89. Sat Feb 28 01:49:55 2026 memory use: 17025.2 MB
  90. Sat Feb 28 01:50:40 2026 keeping 334227811 ideals with weight <= 200, target excess is 1762488
  91. Sat Feb 28 01:51:34 2026 commencing in-memory singleton removal
  92. Sat Feb 28 01:51:39 2026 begin with 342323092 relations and 334227811 unique ideals
  93. Sat Feb 28 01:52:05 2026 reduce to 200255040 relations and 175667008 ideals in 19 passes
  94. Sat Feb 28 01:52:05 2026 max relations containing the same ideal: 149
  95. Sat Feb 28 01:53:32 2026 removing 15457614 relations and 13457614 ideals in 2000000 cliques
  96. Sat Feb 28 01:53:39 2026 commencing in-memory singleton removal
  97. Sat Feb 28 01:53:42 2026 begin with 184797426 relations and 175667008 unique ideals
  98. Sat Feb 28 01:53:52 2026 reduce to 183777185 relations and 161174783 ideals in 10 passes
  99. Sat Feb 28 01:53:52 2026 max relations containing the same ideal: 140
  100. Sat Feb 28 01:55:05 2026 removing 11591841 relations and 9591841 ideals in 2000000 cliques
  101. Sat Feb 28 01:55:11 2026 commencing in-memory singleton removal
  102. Sat Feb 28 01:55:14 2026 begin with 172185344 relations and 161174783 unique ideals
  103. Sat Feb 28 01:55:22 2026 reduce to 171543542 relations and 150933555 ideals in 9 passes
  104. Sat Feb 28 01:55:22 2026 max relations containing the same ideal: 134
  105. Sat Feb 28 01:56:29 2026 removing 10392612 relations and 8392612 ideals in 2000000 cliques
  106. Sat Feb 28 01:56:35 2026 commencing in-memory singleton removal
  107. Sat Feb 28 01:56:37 2026 begin with 161150930 relations and 150933555 unique ideals
  108. Sat Feb 28 01:56:44 2026 reduce to 160600296 relations and 141983775 ideals in 8 passes
  109. Sat Feb 28 01:56:44 2026 max relations containing the same ideal: 130
  110. Sat Feb 28 01:57:49 2026 removing 9772779 relations and 7772779 ideals in 2000000 cliques
  111. Sat Feb 28 01:57:54 2026 commencing in-memory singleton removal
  112. Sat Feb 28 01:57:56 2026 begin with 150827517 relations and 141983775 unique ideals
  113. Sat Feb 28 01:58:03 2026 reduce to 150307967 relations and 133685229 ideals in 9 passes
  114. Sat Feb 28 01:58:03 2026 max relations containing the same ideal: 124
  115. Sat Feb 28 01:59:05 2026 removing 9383430 relations and 7383430 ideals in 2000000 cliques
  116. Sat Feb 28 01:59:10 2026 commencing in-memory singleton removal
  117. Sat Feb 28 01:59:12 2026 begin with 140924537 relations and 133685229 unique ideals
  118. Sat Feb 28 01:59:18 2026 reduce to 140416165 relations and 125787212 ideals in 9 passes
  119. Sat Feb 28 01:59:18 2026 max relations containing the same ideal: 117
  120. Sat Feb 28 02:00:14 2026 removing 9130382 relations and 7130382 ideals in 2000000 cliques
  121. Sat Feb 28 02:00:18 2026 commencing in-memory singleton removal
  122. Sat Feb 28 02:00:20 2026 begin with 131285783 relations and 125787212 unique ideals
  123. Sat Feb 28 02:00:26 2026 reduce to 130773858 relations and 118138242 ideals in 9 passes
  124. Sat Feb 28 02:00:26 2026 max relations containing the same ideal: 113
  125. Sat Feb 28 02:01:17 2026 removing 8965804 relations and 6965804 ideals in 2000000 cliques
  126. Sat Feb 28 02:01:21 2026 commencing in-memory singleton removal
  127. Sat Feb 28 02:01:23 2026 begin with 121808054 relations and 118138242 unique ideals
  128. Sat Feb 28 02:01:28 2026 reduce to 121282376 relations and 110639519 ideals in 9 passes
  129. Sat Feb 28 02:01:28 2026 max relations containing the same ideal: 109
  130. Sat Feb 28 02:02:15 2026 removing 8859334 relations and 6859334 ideals in 2000000 cliques
  131. Sat Feb 28 02:02:20 2026 commencing in-memory singleton removal
  132. Sat Feb 28 02:02:21 2026 begin with 112423042 relations and 110639519 unique ideals
  133. Sat Feb 28 02:02:26 2026 reduce to 111871720 relations and 103220933 ideals in 8 passes
  134. Sat Feb 28 02:02:26 2026 max relations containing the same ideal: 103
  135. Sat Feb 28 02:03:13 2026 removing 8803383 relations and 6803383 ideals in 2000000 cliques
  136. Sat Feb 28 02:03:17 2026 commencing in-memory singleton removal
  137. Sat Feb 28 02:03:18 2026 begin with 103068337 relations and 103220933 unique ideals
  138. Sat Feb 28 02:03:24 2026 reduce to 102482901 relations and 95822817 ideals in 10 passes
  139. Sat Feb 28 02:03:24 2026 max relations containing the same ideal: 95
  140. Sat Feb 28 02:04:05 2026 removing 8787224 relations and 6787224 ideals in 2000000 cliques
  141. Sat Feb 28 02:04:09 2026 commencing in-memory singleton removal
  142. Sat Feb 28 02:04:10 2026 begin with 93695677 relations and 95822817 unique ideals
  143. Sat Feb 28 02:04:15 2026 reduce to 93061484 relations and 88390566 ideals in 8 passes
  144. Sat Feb 28 02:04:15 2026 max relations containing the same ideal: 89
  145. Sat Feb 28 02:04:54 2026 removing 8805978 relations and 6805978 ideals in 2000000 cliques
  146. Sat Feb 28 02:04:57 2026 commencing in-memory singleton removal
  147. Sat Feb 28 02:04:58 2026 begin with 84255506 relations and 88390566 unique ideals
  148. Sat Feb 28 02:05:02 2026 reduce to 83552458 relations and 80868463 ideals in 9 passes
  149. Sat Feb 28 02:05:02 2026 max relations containing the same ideal: 83
  150. Sat Feb 28 02:05:35 2026 removing 3576850 relations and 2937342 ideals in 639508 cliques
  151. Sat Feb 28 02:05:38 2026 commencing in-memory singleton removal
  152. Sat Feb 28 02:05:39 2026 begin with 79975608 relations and 80868463 unique ideals
  153. Sat Feb 28 02:05:42 2026 reduce to 79861161 relations and 77815826 ideals in 8 passes
  154. Sat Feb 28 02:05:42 2026 max relations containing the same ideal: 81
  155. Sat Feb 28 02:06:23 2026 relations with 0 large ideals: 66408
  156. Sat Feb 28 02:06:23 2026 relations with 1 large ideals: 37174
  157. Sat Feb 28 02:06:23 2026 relations with 2 large ideals: 448288
  158. Sat Feb 28 02:06:23 2026 relations with 3 large ideals: 2697609
  159. Sat Feb 28 02:06:23 2026 relations with 4 large ideals: 8844680
  160. Sat Feb 28 02:06:23 2026 relations with 5 large ideals: 17392659
  161. Sat Feb 28 02:06:23 2026 relations with 6 large ideals: 21414050
  162. Sat Feb 28 02:06:23 2026 relations with 7+ large ideals: 28960293
  163. Sat Feb 28 02:06:23 2026 commencing 2-way merge
  164. Sat Feb 28 02:07:12 2026 reduce to 49682910 relation sets and 47637575 unique ideals
  165. Sat Feb 28 02:07:12 2026 commencing full merge
  166. Sat Feb 28 02:24:17 2026 memory use: 6172.4 MB
  167. Sat Feb 28 02:24:20 2026 found 22021383 cycles, need 21955775
  168. Sat Feb 28 02:24:26 2026 weight of 21955775 cycles is about 2723175026 (124.03/cycle)
  169. Sat Feb 28 02:24:26 2026 distribution of cycle lengths:
  170. Sat Feb 28 02:24:26 2026 1 relations: 1512671
  171. Sat Feb 28 02:24:26 2026 2 relations: 1600016
  172. Sat Feb 28 02:24:26 2026 3 relations: 1628666
  173. Sat Feb 28 02:24:26 2026 4 relations: 1572031
  174. Sat Feb 28 02:24:26 2026 5 relations: 1531798
  175. Sat Feb 28 02:24:26 2026 6 relations: 1459422
  176. Sat Feb 28 02:24:26 2026 7 relations: 1395933
  177. Sat Feb 28 02:24:26 2026 8 relations: 1314433
  178. Sat Feb 28 02:24:26 2026 9 relations: 1241862
  179. Sat Feb 28 02:24:26 2026 10+ relations: 8698943
  180. Sat Feb 28 02:24:26 2026 heaviest cycle: 28 relations
  181. Sat Feb 28 02:24:31 2026 commencing cycle optimization
  182. Sat Feb 28 02:25:11 2026 start with 193038242 relations
  183. Sat Feb 28 02:31:34 2026 pruned 7734076 relations
  184. Sat Feb 28 02:31:35 2026 memory use: 5249.4 MB
  185. Sat Feb 28 02:31:35 2026 distribution of cycle lengths:
  186. Sat Feb 28 02:31:35 2026 1 relations: 1512671
  187. Sat Feb 28 02:31:35 2026 2 relations: 1636050
  188. Sat Feb 28 02:31:35 2026 3 relations: 1691874
  189. Sat Feb 28 02:31:35 2026 4 relations: 1628973
  190. Sat Feb 28 02:31:35 2026 5 relations: 1596209
  191. Sat Feb 28 02:31:35 2026 6 relations: 1516954
  192. Sat Feb 28 02:31:35 2026 7 relations: 1452607
  193. Sat Feb 28 02:31:35 2026 8 relations: 1362436
  194. Sat Feb 28 02:31:35 2026 9 relations: 1287039
  195. Sat Feb 28 02:31:35 2026 10+ relations: 8270962
  196. Sat Feb 28 02:31:35 2026 heaviest cycle: 28 relations
  197. Sat Feb 28 02:32:02 2026 RelProcTime: 5609
  198. Sat Feb 28 02:32:02 2026
  199. Sat Feb 28 02:32:02 2026 commencing linear algebra
  200. Sat Feb 28 02:32:02 2026 using VBITS=256
  201. Sat Feb 28 02:32:02 2026 stopping after matrix build
  202. Sat Feb 28 02:32:02 2026 initialized process (0,0) of 1 x 1 grid
  203. Sat Feb 28 02:32:04 2026 read 21955775 cycles
  204. Sat Feb 28 02:32:40 2026 cycles contain 78562991 unique relations
  205. Sat Feb 28 02:38:52 2026 read 78562991 relations
  206. Sat Feb 28 02:39:01 2026 using 20 quadratic characters above 4294917295
  207. Sat Feb 28 02:39:11 2026 building initial matrix
  208. Sat Feb 28 02:53:33 2026 memory use: 10466.2 MB
  209. Sat Feb 28 02:53:48 2026 read 21955775 cycles
  210. Sat Feb 28 02:53:51 2026 matrix is 21955598 x 21955775 (10649.2 MB) with weight 3062653474 (139.49/col)
  211. Sat Feb 28 02:53:51 2026 sparse part has weight 2550101736 (116.15/col)
  212. Sat Feb 28 02:59:43 2026 filtering completed in 2 passes
  213. Sat Feb 28 02:59:46 2026 matrix is 21954725 x 21954894 (10649.1 MB) with weight 3062620432 (139.50/col)
  214. Sat Feb 28 02:59:46 2026 sparse part has weight 2550090061 (116.15/col)
  215. Sat Feb 28 03:01:54 2026 BLanczosTime: 1792
  216. Sat Feb 28 03:01:54 2026 elapsed time 02:03:23
  217. Sat Feb 28 16:56:46 2026
  218. Sat Feb 28 16:56:46 2026
  219. Sat Feb 28 16:56:46 2026 Msieve v. 1.54 (SVN Unversioned directory)
  220. Sat Feb 28 16:56:46 2026 random seeds: e80d0c83 45b467d8
  221. Sat Feb 28 16:56:46 2026 Using 64 OpenMP threads
  222. Sat Feb 28 16:56:46 2026 factoring 94999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (269 digits)
  223. Sat Feb 28 16:56:47 2026 searching for 15-digit factors
  224. Sat Feb 28 16:56:48 2026 commencing number field sieve (269-digit input)
  225. Sat Feb 28 16:56:48 2026 R0: -500000000000000000000000000000000000000000000
  226. Sat Feb 28 16:56:48 2026 R1: 1
  227. Sat Feb 28 16:56:48 2026 A0: -25
  228. Sat Feb 28 16:56:48 2026 A1: 0
  229. Sat Feb 28 16:56:48 2026 A2: 0
  230. Sat Feb 28 16:56:48 2026 A3: 0
  231. Sat Feb 28 16:56:48 2026 A4: 0
  232. Sat Feb 28 16:56:48 2026 A5: 0
  233. Sat Feb 28 16:56:48 2026 A6: 152
  234. Sat Feb 28 16:56:48 2026 skew 1.00, size 2.251e-13, alpha -0.087, combined = 3.810e-14 rroots = 2
  235. Sat Feb 28 16:56:48 2026
  236. Sat Feb 28 16:56:48 2026 commencing linear algebra
  237. Sat Feb 28 16:56:48 2026 using VBITS=256
  238. Sat Feb 28 16:56:48 2026 skipping matrix build
  239. Sat Feb 28 16:56:54 2026 matrix starts at (0, 0)
  240. Sat Feb 28 16:56:56 2026 matrix is 21954725 x 21954894 (10649.1 MB) with weight 3062620432 (139.50/col)
  241. Sat Feb 28 16:56:56 2026 sparse part has weight 2550090061 (116.15/col)
  242. Sat Feb 28 16:56:56 2026 saving the first 240 matrix rows for later
  243. Sat Feb 28 16:57:01 2026 matrix includes 256 packed rows
  244. Sat Feb 28 16:57:08 2026 matrix is 21954485 x 21954894 (9753.8 MB) with weight 2326742677 (105.98/col)
  245. Sat Feb 28 16:57:08 2026 sparse part has weight 2205631262 (100.46/col)
  246. Sat Feb 28 16:57:08 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  247. Sat Feb 28 16:57:56 2026 commencing Lanczos iteration (64 threads)
  248. Sat Feb 28 16:57:56 2026 memory use: 13359.3 MB
  249. Sat Feb 28 17:01:45 2026 linear algebra at 0.1%, ETA 44h44m
  250. Sat Feb 28 17:07:11 2026 checking every 10000 dimensions, checkpointing every 510000 dimensions
  251. Mon Mar 2 12:43:26 2026 lanczos halted after 86017 iterations (dim = 21954483)
  252. Mon Mar 2 12:45:13 2026 recovered 35 nontrivial dependencies
  253. Mon Mar 2 12:45:17 2026 BLanczosTime: 157709
  254. Mon Mar 2 12:45:17 2026
  255. Mon Mar 2 12:45:17 2026 commencing square root phase
  256. Mon Mar 2 12:45:17 2026 handling dependencies 1 to 64
  257. Mon Mar 2 12:45:17 2026 reading relations for dependency 1
  258. Mon Mar 2 12:45:19 2026 read 10968060 cycles
  259. Mon Mar 2 12:45:40 2026 cycles contain 39260508 unique relations
  260. Mon Mar 2 12:51:47 2026 read 39260508 relations
  261. Mon Mar 2 12:55:41 2026 multiplying 39260508 relations
  262. Mon Mar 2 13:01:15 2026 multiply complete, coefficients have about 1305.76 million bits
  263. Mon Mar 2 13:01:18 2026 initial square root is modulo 719911
  264. Mon Mar 2 13:16:00 2026 sqrtTime: 1843
  265. Mon Mar 2 13:16:00 2026 p69 factor: 459554401501266362916174922888334606335081829567065215902503494936109
  266. Mon Mar 2 13:16:00 2026 p201 factor: 206721989147868524851861797372557550224376004401101130427880894111616426463139350489819786846233779830393002878899114837475992129492117106132386036139422519226613219878166448487096750292936440221509211
  267. Mon Mar 2 13:16:00 2026 elapsed time 44:19:14
  268.  
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