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kyleaskine
Aug 1st, 2026
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  1. Fri Jul 31 11:33:49 2026
  2. Fri Jul 31 11:33:49 2026
  3. Fri Jul 31 11:33:49 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Jul 31 11:33:49 2026 random seeds: be5389eb d352fcc8
  5. Fri Jul 31 11:33:49 2026 Using 14 OpenMP threads
  6. Fri Jul 31 11:33:49 2026 factoring 361509238946398918412995570792668685482424255962363461230184417256564564238301707989849791493431786536725557526173084513164979624661758869147372759409315066812717509219474644495466191 (183 digits)
  7. Fri Jul 31 11:33:49 2026 no P-1/P+1/ECM available, skipping
  8. Fri Jul 31 11:33:49 2026 commencing number field sieve (183-digit input)
  9. Fri Jul 31 11:33:49 2026 R0: -356252986057866357566986043946610118
  10. Fri Jul 31 11:33:49 2026 R1: 91413171732306650107193
  11. Fri Jul 31 11:33:49 2026 A0: 1616785849518163959632008430663392336253520
  12. Fri Jul 31 11:33:49 2026 A1: 1628505617683944250232400827857705859
  13. Fri Jul 31 11:33:49 2026 A2: 107103687622302324558271729140
  14. Fri Jul 31 11:33:49 2026 A3: -3447660723195436285373
  15. Fri Jul 31 11:33:49 2026 A4: -46518788536974
  16. Fri Jul 31 11:33:49 2026 A5: 378000
  17. Fri Jul 31 11:33:49 2026 skew 35867082.33, size 9.084e-18, alpha -7.098, combined = 6.877e-14 rroots = 5
  18. Fri Jul 31 11:33:49 2026
  19. Fri Jul 31 11:33:49 2026 commencing relation filtering
  20. Fri Jul 31 11:33:49 2026 setting 3 target densities:Fri Jul 31 11:33:49 2026 90Fri Jul 31 11:33:49 2026 110Fri Jul 31 11:33:49 2026 130Fri Jul 31 11:33:49 2026
  21. Fri Jul 31 11:33:49 2026 estimated available RAM is 78540.1 MB
  22. Fri Jul 31 11:33:49 2026 commencing duplicate removal, pass 1
  23. Fri Jul 31 11:34:03 2026 error -1 reading relation 4950165
  24. Fri Jul 31 11:34:14 2026 error -1 reading relation 11150705
  25. Fri Jul 31 11:34:31 2026 error -1 reading relation 17293118
  26. Fri Jul 31 11:34:36 2026 error -1 reading relation 19143533
  27. Fri Jul 31 11:34:56 2026 error -1 reading relation 29915720
  28. Fri Jul 31 11:35:05 2026 error -1 reading relation 34053234
  29. Fri Jul 31 11:35:06 2026 error -1 reading relation 34516101
  30. Fri Jul 31 11:35:12 2026 error -1 reading relation 39199131
  31. Fri Jul 31 11:35:39 2026 error -1 reading relation 53780302
  32. Fri Jul 31 11:35:51 2026 error -1 reading relation 59584685
  33. Fri Jul 31 11:36:08 2026 error -1 reading relation 69023588
  34. Fri Jul 31 11:36:10 2026 error -1 reading relation 69983642
  35. Fri Jul 31 11:36:57 2026 error -1 reading relation 91170237
  36. Fri Jul 31 11:37:25 2026 error -1 reading relation 104341616
  37. Fri Jul 31 11:37:41 2026 error -1 reading relation 111910064
  38. Fri Jul 31 11:38:03 2026 error -1 reading relation 120112310
  39. Fri Jul 31 11:38:13 2026 error -1 reading relation 124634150
  40. Fri Jul 31 11:38:35 2026 error -1 reading relation 134857882
  41. Fri Jul 31 11:38:59 2026 error -1 reading relation 142799072
  42. Fri Jul 31 11:39:03 2026 error -1 reading relation 144017719
  43. Fri Jul 31 11:39:23 2026 error -1 reading relation 151539574
  44. Fri Jul 31 11:39:37 2026 error -1 reading relation 156677856
  45. Fri Jul 31 11:40:38 2026 error -1 reading relation 176638216
  46. Fri Jul 31 11:40:44 2026 error -1 reading relation 178361225
  47. Fri Jul 31 11:40:49 2026 error -1 reading relation 179996678
  48. Fri Jul 31 11:41:14 2026 error -1 reading relation 187916060
  49. Fri Jul 31 11:41:23 2026 error -1 reading relation 190593767
  50. Fri Jul 31 11:41:38 2026 error -1 reading relation 195338062
  51. Fri Jul 31 11:41:52 2026 error -1 reading relation 199644071
  52. Fri Jul 31 11:41:52 2026 error -1 reading relation 199650243
  53. Fri Jul 31 11:42:04 2026 error -1 reading relation 203616204
  54. Fri Jul 31 11:42:36 2026 error -1 reading relation 212514592
  55. Fri Jul 31 11:43:28 2026 error -1 reading relation 228433583
  56. Fri Jul 31 11:43:44 2026 error -1 reading relation 232515697
  57. Fri Jul 31 11:43:55 2026 error -1 reading relation 236136375
  58. Fri Jul 31 11:44:16 2026 error -1 reading relation 241735539
  59. Fri Jul 31 11:44:35 2026 error -1 reading relation 247264687
  60. Fri Jul 31 11:45:25 2026 error -1 reading relation 263419703
  61. Fri Jul 31 11:45:29 2026 error -1 reading relation 264592357
  62. Fri Jul 31 11:45:29 2026 error -1 reading relation 264592394
  63. Fri Jul 31 11:46:22 2026 error -1 reading relation 286466922
  64. Fri Jul 31 11:46:22 2026 error -1 reading relation 286789270
  65. Fri Jul 31 11:46:48 2026 error -1 reading relation 301486166
  66. Fri Jul 31 11:46:48 2026 error -1 reading relation 301695399
  67. Fri Jul 31 11:46:51 2026 error -1 reading relation 304280546
  68. Fri Jul 31 11:46:53 2026 error -1 reading relation 308105316
  69. Fri Jul 31 11:46:54 2026 error -1 reading relation 309283762
  70. Fri Jul 31 11:46:54 2026 error -1 reading relation 309492468
  71. Fri Jul 31 11:47:07 2026 error -1 reading relation 320866384
  72. Fri Jul 31 11:47:07 2026 error -1 reading relation 321021578
  73. Fri Jul 31 11:47:12 2026 error -1 reading relation 325442650
  74. Fri Jul 31 11:47:12 2026 error -1 reading relation 325675048
  75. Fri Jul 31 11:47:15 2026 error -1 reading relation 328442529
  76. Fri Jul 31 11:47:18 2026 error -1 reading relation 331418858
  77. Fri Jul 31 11:47:21 2026 error -1 reading relation 334512031
  78. Fri Jul 31 11:47:21 2026 error -1 reading relation 334540223
  79. Fri Jul 31 11:47:21 2026 error -1 reading relation 334549424
  80. Fri Jul 31 11:47:22 2026 error -1 reading relation 338462002
  81. Fri Jul 31 11:47:22 2026 error -1 reading relation 338476832
  82. Fri Jul 31 11:47:22 2026 error -15 reading relation 338481430
  83. Fri Jul 31 11:47:24 2026 error -1 reading relation 340072241
  84. Fri Jul 31 11:47:24 2026 error -1 reading relation 340350727
  85. Fri Jul 31 11:47:27 2026 skipped 4 relations with composite factors
  86. Fri Jul 31 11:47:27 2026 skipped 440 malformed relations
  87. Fri Jul 31 11:47:27 2026 found 74661404 hash collisions in 342484707 relations
  88. Fri Jul 31 11:47:40 2026 added 121412 free relations
  89. Fri Jul 31 11:47:40 2026 commencing duplicate removal, pass 2
  90. Fri Jul 31 11:49:54 2026 found 80990147 duplicates and 261615972 unique relations
  91. Fri Jul 31 11:49:54 2026 memory use: 1705.5 MB
  92. Fri Jul 31 11:49:54 2026 reading ideals above 720000
  93. Fri Jul 31 11:49:54 2026 commencing singleton removal, initial pass
  94. Fri Jul 31 12:00:51 2026 memory use: 6024.0 MB
  95. Fri Jul 31 12:00:52 2026 reading all ideals from disk
  96. Fri Jul 31 12:01:09 2026 memory use: 12794.2 MB
  97. Fri Jul 31 12:01:31 2026 keeping 247268676 ideals with weight <= 200, target excess is 1383097
  98. Fri Jul 31 12:01:52 2026 commencing in-memory singleton removal
  99. Fri Jul 31 12:01:56 2026 begin with 261615972 relations and 247268676 unique ideals
  100. Fri Jul 31 12:02:17 2026 reduce to 161235072 relations and 136433162 ideals in 14 passes
  101. Fri Jul 31 12:02:17 2026 max relations containing the same ideal: 154
  102. Fri Jul 31 12:03:02 2026 removing 12221681 relations and 10221681 ideals in 2000000 cliques
  103. Fri Jul 31 12:03:06 2026 commencing in-memory singleton removal
  104. Fri Jul 31 12:03:08 2026 begin with 149013391 relations and 136433162 unique ideals
  105. Fri Jul 31 12:03:20 2026 reduce to 148300030 relations and 125486836 ideals in 10 passes
  106. Fri Jul 31 12:03:20 2026 max relations containing the same ideal: 146
  107. Fri Jul 31 12:03:59 2026 removing 9375583 relations and 7375583 ideals in 2000000 cliques
  108. Fri Jul 31 12:04:02 2026 commencing in-memory singleton removal
  109. Fri Jul 31 12:04:04 2026 begin with 138924447 relations and 125486836 unique ideals
  110. Fri Jul 31 12:04:14 2026 reduce to 138442310 relations and 117622524 ideals in 9 passes
  111. Fri Jul 31 12:04:14 2026 max relations containing the same ideal: 143
  112. Fri Jul 31 12:04:55 2026 removing 8519775 relations and 6519775 ideals in 2000000 cliques
  113. Fri Jul 31 12:04:58 2026 commencing in-memory singleton removal
  114. Fri Jul 31 12:04:56 2026 begin with 129922535 relations and 117622524 unique ideals
  115. Fri Jul 31 12:05:05 2026 reduce to 129488954 relations and 110663255 ideals in 9 passes
  116. Fri Jul 31 12:05:05 2026 max relations containing the same ideal: 135
  117. Fri Jul 31 12:05:40 2026 removing 8091213 relations and 6091213 ideals in 2000000 cliques
  118. Fri Jul 31 12:05:43 2026 commencing in-memory singleton removal
  119. Fri Jul 31 12:05:44 2026 begin with 121397741 relations and 110663255 unique ideals
  120. Fri Jul 31 12:05:51 2026 reduce to 120981156 relations and 104149433 ideals in 8 passes
  121. Fri Jul 31 12:05:51 2026 max relations containing the same ideal: 130
  122. Fri Jul 31 12:06:24 2026 removing 7835468 relations and 5835468 ideals in 2000000 cliques
  123. Fri Jul 31 12:06:24 2026 commencing in-memory singleton removal
  124. Fri Jul 31 12:06:25 2026 begin with 113145688 relations and 104149433 unique ideals
  125. Fri Jul 31 12:06:31 2026 reduce to 112729540 relations and 97891478 ideals in 7 passes
  126. Fri Jul 31 12:06:31 2026 max relations containing the same ideal: 120
  127. Fri Jul 31 12:07:03 2026 removing 7685540 relations and 5685540 ideals in 2000000 cliques
  128. Fri Jul 31 12:07:05 2026 commencing in-memory singleton removal
  129. Fri Jul 31 12:07:06 2026 begin with 105044000 relations and 97891478 unique ideals
  130. Fri Jul 31 12:07:12 2026 reduce to 104614742 relations and 91770019 ideals in 7 passes
  131. Fri Jul 31 12:07:12 2026 max relations containing the same ideal: 116
  132. Fri Jul 31 12:07:42 2026 removing 7602696 relations and 5602696 ideals in 2000000 cliques
  133. Fri Jul 31 12:07:44 2026 commencing in-memory singleton removal
  134. Fri Jul 31 12:07:45 2026 begin with 97012046 relations and 91770019 unique ideals
  135. Fri Jul 31 12:07:51 2026 reduce to 96560984 relations and 85708591 ideals in 8 passes
  136. Fri Jul 31 12:07:51 2026 max relations containing the same ideal: 112
  137. Fri Jul 31 12:08:18 2026 removing 7567762 relations and 5567762 ideals in 2000000 cliques
  138. Fri Jul 31 12:08:21 2026 commencing in-memory singleton removal
  139. Fri Jul 31 12:08:22 2026 begin with 88993222 relations and 85708591 unique ideals
  140. Fri Jul 31 12:08:24 2026 reduce to 88512249 relations and 79651149 ideals in 8 passes
  141. Fri Jul 31 12:08:24 2026 max relations containing the same ideal: 102
  142. Fri Jul 31 12:08:50 2026 removing 7580262 relations and 5580262 ideals in 2000000 cliques
  143. Fri Jul 31 12:08:52 2026 commencing in-memory singleton removal
  144. Fri Jul 31 12:08:53 2026 begin with 80931987 relations and 79651149 unique ideals
  145. Fri Jul 31 12:08:57 2026 reduce to 80407981 relations and 73536610 ideals in 8 passes
  146. Fri Jul 31 12:08:57 2026 max relations containing the same ideal: 95
  147. Fri Jul 31 12:09:20 2026 removing 7628210 relations and 5628210 ideals in 2000000 cliques
  148. Fri Jul 31 12:09:22 2026 commencing in-memory singleton removal
  149. Fri Jul 31 12:09:22 2026 begin with 72779771 relations and 73536610 unique ideals
  150. Fri Jul 31 12:09:26 2026 reduce to 72192659 relations and 67309026 ideals in 8 passes
  151. Fri Jul 31 12:09:26 2026 max relations containing the same ideal: 87
  152. Fri Jul 31 12:09:50 2026 removing 7718829 relations and 5718829 ideals in 2000000 cliques
  153. Fri Jul 31 12:09:49 2026 commencing in-memory singleton removal
  154. Fri Jul 31 12:09:49 2026 begin with 64473830 relations and 67309026 unique ideals
  155. Fri Jul 31 12:09:53 2026 reduce to 63801391 relations and 60901956 ideals in 8 passes
  156. Fri Jul 31 12:09:53 2026 max relations containing the same ideal: 84
  157. Fri Jul 31 12:10:14 2026 removing 5570236 relations and 4275194 ideals in 1295042 cliques
  158. Fri Jul 31 12:10:15 2026 commencing in-memory singleton removal
  159. Fri Jul 31 12:10:16 2026 begin with 58231155 relations and 60901956 unique ideals
  160. Fri Jul 31 12:10:19 2026 reduce to 57851087 relations and 56240096 ideals in 7 passes
  161. Fri Jul 31 12:10:19 2026 max relations containing the same ideal: 78
  162. Fri Jul 31 12:10:36 2026 trying target density 90
  163. Fri Jul 31 12:10:41 2026 relations with 0 large ideals: 5209
  164. Fri Jul 31 12:10:41 2026 relations with 1 large ideals: 24409
  165. Fri Jul 31 12:10:41 2026 relations with 2 large ideals: 350752
  166. Fri Jul 31 12:10:41 2026 relations with 3 large ideals: 2117650
  167. Fri Jul 31 12:10:41 2026 relations with 4 large ideals: 6890470
  168. Fri Jul 31 12:10:41 2026 relations with 5 large ideals: 13301308
  169. Fri Jul 31 12:10:41 2026 relations with 6 large ideals: 15960937
  170. Fri Jul 31 12:10:41 2026 relations with 7+ large ideals: 19200352
  171. Fri Jul 31 12:10:41 2026 commencing 2-way merge
  172. Fri Jul 31 12:11:09 2026 reduce to 36437269 relation sets and 34826278 unique ideals
  173. Fri Jul 31 12:11:09 2026 commencing full merge
  174. Fri Jul 31 12:18:29 2026 memory use: 4144.9 MB
  175. Fri Jul 31 12:18:33 2026 found 18124219 cycles, need 17904478
  176. Fri Jul 31 12:18:38 2026 weight of 17904478 cycles is about 1611915099 (90.03/cycle)
  177. Fri Jul 31 12:18:38 2026 distribution of cycle lengths:
  178. Fri Jul 31 12:18:38 2026 1 relations: 1834565
  179. Fri Jul 31 12:18:38 2026 2 relations: 1780715
  180. Fri Jul 31 12:18:38 2026 3 relations: 1804419
  181. Fri Jul 31 12:18:39 2026 4 relations: 1751057
  182. Fri Jul 31 12:18:39 2026 5 relations: 1666694
  183. Fri Jul 31 12:18:39 2026 6 relations: 1573998
  184. Fri Jul 31 12:18:39 2026 7 relations: 1433579
  185. Fri Jul 31 12:18:39 2026 8 relations: 1271578
  186. Fri Jul 31 12:18:39 2026 9 relations: 1094931
  187. Fri Jul 31 12:18:39 2026 10+ relations: 3692942
  188. Fri Jul 31 12:18:39 2026 heaviest cycle: 21 relations
  189. Fri Jul 31 12:18:40 2026 commencing cycle optimization
  190. Fri Jul 31 12:19:05 2026 start with 111342441 relations
  191. Fri Jul 31 12:21:28 2026 pruned 3362911 relations
  192. Fri Jul 31 12:21:30 2026 memory use: 3503.5 MB
  193. Fri Jul 31 12:21:30 2026 distribution of cycle lengths:
  194. Fri Jul 31 12:21:30 2026 1 relations: 1834565
  195. Fri Jul 31 12:21:30 2026 2 relations: 1824161
  196. Fri Jul 31 12:21:30 2026 3 relations: 1873786
  197. Fri Jul 31 12:21:30 2026 4 relations: 1805609
  198. Fri Jul 31 12:21:30 2026 5 relations: 1726884
  199. Fri Jul 31 12:21:30 2026 6 relations: 1617594
  200. Fri Jul 31 12:21:30 2026 7 relations: 1471845
  201. Fri Jul 31 12:21:30 2026 8 relations: 1291881
  202. Fri Jul 31 12:21:30 2026 9 relations: 1100696
  203. Fri Jul 31 12:21:30 2026 10+ relations: 3357457
  204. Fri Jul 31 12:21:30 2026 heaviest cycle: 21 relations
  205. Fri Jul 31 12:21:56 2026 trying target density 110
  206. Fri Jul 31 12:22:01 2026 relations with 0 large ideals: 5209
  207. Fri Jul 31 12:22:01 2026 relations with 1 large ideals: 24409
  208. Fri Jul 31 12:22:01 2026 relations with 2 large ideals: 350752
  209. Fri Jul 31 12:22:01 2026 relations with 3 large ideals: 2117650
  210. Fri Jul 31 12:22:01 2026 relations with 4 large ideals: 6890470
  211. Fri Jul 31 12:22:01 2026 relations with 5 large ideals: 13301308
  212. Fri Jul 31 12:22:01 2026 relations with 6 large ideals: 15960937
  213. Fri Jul 31 12:22:01 2026 relations with 7+ large ideals: 19200352
  214. Fri Jul 31 12:22:01 2026 commencing 2-way merge
  215. Fri Jul 31 12:22:25 2026 reduce to 36437269 relation sets and 34826278 unique ideals
  216. Fri Jul 31 12:22:25 2026 commencing full merge
  217. Fri Jul 31 12:32:01 2026 memory use: 4257.8 MB
  218. Fri Jul 31 12:32:04 2026 found 16906610 cycles, need 16724478
  219. Fri Jul 31 12:32:09 2026 weight of 16724478 cycles is about 1840005350 (110.02/cycle)
  220. Fri Jul 31 12:32:09 2026 distribution of cycle lengths:
  221. Fri Jul 31 12:32:09 2026 1 relations: 1241606
  222. Fri Jul 31 12:32:09 2026 2 relations: 1331875
  223. Fri Jul 31 12:32:09 2026 3 relations: 1408242
  224. Fri Jul 31 12:32:09 2026 4 relations: 1367941
  225. Fri Jul 31 12:32:09 2026 5 relations: 1347253
  226. Fri Jul 31 12:32:09 2026 6 relations: 1301887
  227. Fri Jul 31 12:32:09 2026 7 relations: 1239266
  228. Fri Jul 31 12:32:09 2026 8 relations: 1158040
  229. Fri Jul 31 12:32:09 2026 9 relations: 1059385
  230. Fri Jul 31 12:32:09 2026 10+ relations: 5268983
  231. Fri Jul 31 12:32:09 2026 heaviest cycle: 26 relations
  232. Fri Jul 31 12:32:12 2026 commencing cycle optimization
  233. Fri Jul 31 12:32:39 2026 start with 126683432 relations
  234. Fri Jul 31 12:35:47 2026 pruned 4764640 relations
  235. Fri Jul 31 12:35:49 2026 memory use: 3666.2 MB
  236. Fri Jul 31 12:35:49 2026 distribution of cycle lengths:
  237. Fri Jul 31 12:35:49 2026 1 relations: 1241606
  238. Fri Jul 31 12:35:49 2026 2 relations: 1366596
  239. Fri Jul 31 12:35:49 2026 3 relations: 1466058
  240. Fri Jul 31 12:35:49 2026 4 relations: 1418708
  241. Fri Jul 31 12:35:49 2026 5 relations: 1404600
  242. Fri Jul 31 12:35:49 2026 6 relations: 1351135
  243. Fri Jul 31 12:35:49 2026 7 relations: 1289065
  244. Fri Jul 31 12:35:49 2026 8 relations: 1195838
  245. Fri Jul 31 12:35:49 2026 9 relations: 1089508
  246. Fri Jul 31 12:35:49 2026 10+ relations: 4901364
  247. Fri Jul 31 12:35:49 2026 heaviest cycle: 25 relations
  248. Fri Jul 31 12:36:14 2026 trying target density 130
  249. Fri Jul 31 12:36:18 2026 relations with 0 large ideals: 5209
  250. Fri Jul 31 12:36:18 2026 relations with 1 large ideals: 24409
  251. Fri Jul 31 12:36:18 2026 relations with 2 large ideals: 350752
  252. Fri Jul 31 12:36:18 2026 relations with 3 large ideals: 2117650
  253. Fri Jul 31 12:36:18 2026 relations with 4 large ideals: 6890470
  254. Fri Jul 31 12:36:18 2026 relations with 5 large ideals: 13301308
  255. Fri Jul 31 12:36:18 2026 relations with 6 large ideals: 15960937
  256. Fri Jul 31 12:36:18 2026 relations with 7+ large ideals: 19200352
  257. Fri Jul 31 12:36:18 2026 commencing 2-way merge
  258. Fri Jul 31 12:36:43 2026 reduce to 36437269 relation sets and 34826278 unique ideals
  259. Fri Jul 31 12:36:43 2026 commencing full merge
  260. Fri Jul 31 12:46:54 2026 memory use: 4330.5 MB
  261. Fri Jul 31 12:46:58 2026 found 15934016 cycles, need 15860478
  262. Fri Jul 31 12:47:01 2026 weight of 15860478 cycles is about 2062123822 (130.02/cycle)
  263. Fri Jul 31 12:47:01 2026 distribution of cycle lengths:
  264. Fri Jul 31 12:47:01 2026 1 relations: 883318
  265. Fri Jul 31 12:47:01 2026 2 relations: 1044269
  266. Fri Jul 31 12:47:01 2026 3 relations: 1128249
  267. Fri Jul 31 12:47:01 2026 4 relations: 1117451
  268. Fri Jul 31 12:47:01 2026 5 relations: 1114572
  269. Fri Jul 31 12:47:01 2026 6 relations: 1084989
  270. Fri Jul 31 12:47:01 2026 7 relations: 1066073
  271. Fri Jul 31 12:47:01 2026 8 relations: 1013353
  272. Fri Jul 31 12:47:01 2026 9 relations: 962930
  273. Fri Jul 31 12:47:01 2026 10+ relations: 6445274
  274. Fri Jul 31 12:47:01 2026 heaviest cycle: 28 relations
  275. Fri Jul 31 12:47:05 2026 commencing cycle optimization
  276. Fri Jul 31 12:47:37 2026 start with 141467135 relations
  277. Fri Jul 31 12:52:26 2026 pruned 6241770 relations
  278. Fri Jul 31 12:52:26 2026 memory use: 3816.9 MB
  279. Fri Jul 31 12:52:26 2026 distribution of cycle lengths:
  280. Fri Jul 31 12:52:26 2026 1 relations: 883318
  281. Fri Jul 31 12:52:26 2026 2 relations: 1072239
  282. Fri Jul 31 12:52:26 2026 3 relations: 1176602
  283. Fri Jul 31 12:52:26 2026 4 relations: 1161727
  284. Fri Jul 31 12:52:26 2026 5 relations: 1166934
  285. Fri Jul 31 12:52:26 2026 6 relations: 1133854
  286. Fri Jul 31 12:52:26 2026 7 relations: 1116933
  287. Fri Jul 31 12:52:26 2026 8 relations: 1058511
  288. Fri Jul 31 12:52:26 2026 9 relations: 1004340
  289. Fri Jul 31 12:52:26 2026 10+ relations: 6086020
  290. Fri Jul 31 12:52:26 2026 heaviest cycle: 28 relations
  291. Fri Jul 31 12:52:55 2026 RelProcTime: 4746
  292. Fri Jul 31 12:52:55 2026
  293. Fri Jul 31 12:52:55 2026 commencing linear algebra
  294. Fri Jul 31 12:52:55 2026 using VBITS=256
  295. Fri Jul 31 12:52:55 2026 building matrices for all densities
  296. Fri Jul 31 12:52:55 2026 found 3 density files
  297. Fri Jul 31 12:52:55 2026 building matrix for density 90
  298. Fri Jul 31 12:52:57 2026 read 17904478 cycles
  299. Fri Jul 31 12:53:18 2026 cycles contain 56790386 unique relations
  300. Fri Jul 31 13:05:04 2026 read 56790386 relations
  301. Fri Jul 31 13:05:24 2026 using 20 quadratic characters above 4294917295
  302. Fri Jul 31 13:05:48 2026 building initial matrix
  303. Fri Jul 31 13:18:58 2026 memory use: 7970.4 MB
  304. Fri Jul 31 13:19:12 2026 read 17904478 cycles
  305. Fri Jul 31 13:19:15 2026 matrix is 17904295 x 17904478 (6683.9 MB) with weight 2068769850 (115.54/col)
  306. Fri Jul 31 13:19:15 2026 sparse part has weight 1537291297 (85.86/col)
  307. Fri Jul 31 13:22:12 2026 filtering completed in 2 passes
  308. Fri Jul 31 13:22:16 2026 matrix is 17899149 x 17899330 (6683.4 MB) with weight 2068556849 (115.57/col)
  309. Fri Jul 31 13:22:16 2026 sparse part has weight 1537230642 (85.88/col)
  310. Fri Jul 31 13:23:06 2026 building matrix for density 110
  311. Fri Jul 31 13:23:09 2026 read 16724478 cycles
  312. Fri Jul 31 13:23:39 2026 cycles contain 56804949 unique relations
  313. Fri Jul 31 13:30:58 2026 read 56804949 relations
  314. Fri Jul 31 13:31:19 2026 using 20 quadratic characters above 4294917295
  315. Fri Jul 31 13:31:43 2026 building initial matrix
  316. Fri Jul 31 13:44:08 2026 memory use: 7989.3 MB
  317. Fri Jul 31 13:44:15 2026 read 16724478 cycles
  318. Fri Jul 31 13:44:18 2026 matrix is 16724297 x 16724478 (7363.8 MB) with weight 2257702325 (134.99/col)
  319. Fri Jul 31 13:44:18 2026 sparse part has weight 1729680561 (103.42/col)
  320. Fri Jul 31 13:47:22 2026 filtering completed in 2 passes
  321. Fri Jul 31 13:47:28 2026 matrix is 16721961 x 16722141 (7363.5 MB) with weight 2257587493 (135.01/col)
  322. Fri Jul 31 13:47:28 2026 sparse part has weight 1729641728 (103.43/col)
  323. Fri Jul 31 13:48:44 2026 building matrix for density 130
  324. Fri Jul 31 13:48:52 2026 read 15860478 cycles
  325. Fri Jul 31 13:49:36 2026 cycles contain 56807652 unique relations
  326. Fri Jul 31 13:52:10 2026 read 56807652 relations
  327. Fri Jul 31 13:52:32 2026 using 20 quadratic characters above 4294917295
  328. Fri Jul 31 13:52:57 2026 building initial matrix
  329. Fri Jul 31 14:09:04 2026 memory use: 8014.1 MB
  330. Fri Jul 31 14:09:17 2026 read 15860478 cycles
  331. Fri Jul 31 14:09:19 2026 matrix is 15860298 x 15860478 (8023.8 MB) with weight 2439018619 (153.78/col)
  332. Fri Jul 31 14:09:19 2026 sparse part has weight 1913059007 (120.62/col)
  333. Fri Jul 31 14:11:58 2026 filtering completed in 2 passes
  334. Fri Jul 31 14:12:02 2026 matrix is 15859649 x 15859828 (8023.7 MB) with weight 2438985438 (153.78/col)
  335. Fri Jul 31 14:12:02 2026 sparse part has weight 1913048607 (120.62/col)
  336. Fri Jul 31 14:12:59 2026 BLanczosTime: 4804
  337. Fri Jul 31 14:12:59 2026 elapsed time 02:39:10
  338. Fri Jul 31 22:27:36 2026
  339. Fri Jul 31 22:27:36 2026
  340. Fri Jul 31 22:27:36 2026 Msieve v. 1.54 (SVN unknown)
  341. Fri Jul 31 22:27:36 2026 random seeds: 8b7426f2 d8efe872
  342. Fri Jul 31 22:27:36 2026 Using 8 OpenMP threads
  343. Fri Jul 31 22:27:36 2026 factoring 361509238946398918412995570792668685482424255962363461230184417256564564238301707989849791493431786536725557526173084513164979624661758869147372759409315066812717509219474644495466191 (183 digits)
  344. Fri Jul 31 22:27:37 2026 no P-1/P+1/ECM available, skipping
  345. Fri Jul 31 22:27:37 2026 commencing number field sieve (183-digit input)
  346. Fri Jul 31 22:27:37 2026 R0: -356252986057866357566986043946610118
  347. Fri Jul 31 22:27:37 2026 R1: 91413171732306650107193
  348. Fri Jul 31 22:27:37 2026 A0: 1616785849518163959632008430663392336253520
  349. Fri Jul 31 22:27:37 2026 A1: 1628505617683944250232400827857705859
  350. Fri Jul 31 22:27:37 2026 A2: 107103687622302324558271729140
  351. Fri Jul 31 22:27:37 2026 A3: -3447660723195436285373
  352. Fri Jul 31 22:27:37 2026 A4: -46518788536974
  353. Fri Jul 31 22:27:37 2026 A5: 378000
  354. Fri Jul 31 22:27:37 2026 skew 35867082.33, size 9.084e-18, alpha -7.098, combined = 6.877e-14 rroots = 5
  355. Fri Jul 31 22:27:37 2026
  356. Fri Jul 31 22:27:37 2026 commencing linear algebra
  357. Fri Jul 31 22:27:37 2026 using VBITS=256
  358. Fri Jul 31 22:27:37 2026 skipping matrix build
  359. Fri Jul 31 22:27:42 2026 matrix starts at (0, 0)
  360. Fri Jul 31 22:27:44 2026 matrix is 15859649 x 15859828 (8023.7 MB) with weight 2438985438 (153.78/col)
  361. Fri Jul 31 22:27:44 2026 sparse part has weight 1913048607 (120.62/col)
  362. Fri Jul 31 22:27:44 2026 saving the first 240 matrix rows for later
  363. Fri Jul 31 22:27:47 2026 matrix includes 256 packed rows
  364. Fri Jul 31 22:27:51 2026 matrix is 15859409 x 15859828 (7278.9 MB) with weight 1757627966 (110.82/col)
  365. Fri Jul 31 22:27:51 2026 sparse part has weight 1654352752 (104.31/col)
  366. Fri Jul 31 22:27:51 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  367. Fri Jul 31 22:27:51 2026 selected card has CUDA arch 12.0
  368. Fri Jul 31 22:27:52 2026 computed block_nnz 164066841 (L2 cache 100663296 bytes, average column weight 104.3)
  369. Fri Jul 31 22:27:52 2026 nonzeros per matrix block: 256000000
  370. Fri Jul 31 22:29:41 2026 commencing Lanczos iteration
  371. Fri Jul 31 22:29:43 2026 memory use: 17340.7 MB
  372. Fri Jul 31 22:29:56 2026 linear algebra at 0.2%, ETA 1h43m
  373. Fri Jul 31 22:30:16 2026 checking every 140000 dimensions, checkpointing every 8680000 dimensions
  374. Sat Aug 1 00:22:31 2026 lanczos halted after 62138 iterations (dim = 15859409)
  375. Sat Aug 1 00:23:13 2026 recovered 32 nontrivial dependencies
  376. Sat Aug 1 00:23:14 2026 BLanczosTime: 6937
  377. Sat Aug 1 00:23:14 2026 elapsed time 01:55:38
  378. Sat Aug 1 07:13:40 2026
  379. Sat Aug 1 07:13:40 2026
  380. Sat Aug 1 07:13:40 2026 Msieve v. 1.54 (SVN unknown)
  381. Sat Aug 1 07:13:40 2026 random seeds: da4a8662 57964c25
  382. Sat Aug 1 07:13:40 2026 Using 14 OpenMP threads
  383. Sat Aug 1 07:13:40 2026 factoring 361509238946398918412995570792668685482424255962363461230184417256564564238301707989849791493431786536725557526173084513164979624661758869147372759409315066812717509219474644495466191 (183 digits)
  384. Sat Aug 1 07:13:40 2026 no P-1/P+1/ECM available, skipping
  385. Sat Aug 1 07:13:40 2026 commencing number field sieve (183-digit input)
  386. Sat Aug 1 07:13:40 2026 R0: -356252986057866357566986043946610118
  387. Sat Aug 1 07:13:40 2026 R1: 91413171732306650107193
  388. Sat Aug 1 07:13:40 2026 A0: 1616785849518163959632008430663392336253520
  389. Sat Aug 1 07:13:40 2026 A1: 1628505617683944250232400827857705859
  390. Sat Aug 1 07:13:40 2026 A2: 107103687622302324558271729140
  391. Sat Aug 1 07:13:40 2026 A3: -3447660723195436285373
  392. Sat Aug 1 07:13:40 2026 A4: -46518788536974
  393. Sat Aug 1 07:13:40 2026 A5: 378000
  394. Sat Aug 1 07:13:40 2026 skew 35867082.33, size 9.084e-18, alpha -7.098, combined = 6.877e-14 rroots = 5
  395. Sat Aug 1 07:13:40 2026
  396. Sat Aug 1 07:13:40 2026 commencing square root phase
  397. Sat Aug 1 07:13:40 2026 reading relations for dependency 1
  398. Sat Aug 1 07:13:44 2026 read 7932438 cycles
  399. Sat Aug 1 07:13:57 2026 cycles contain 28407564 unique relations
  400. Sat Aug 1 07:15:49 2026 read 28407564 relations
  401. Sat Aug 1 07:17:13 2026 multiplying 28407564 relations
  402. Sat Aug 1 07:20:01 2026 multiply complete, coefficients have about 1658.77 million bits
  403. Sat Aug 1 07:20:04 2026 initial square root is modulo 27591181
  404. Sat Aug 1 07:25:52 2026 sqrtTime: 732
  405. Sat Aug 1 07:25:52 2026 p62 factor: 68106048922208496287334349729369908254489265462478272075651853
  406. Sat Aug 1 07:25:52 2026 p121 factor: 5308034229959792307433207733263085580671396967114697210126490816771374114966198498372560853419491250503937135859134044747
  407. Sat Aug 1 07:25:52 2026 elapsed time 00:12:12
  408.  
Tags: math
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