kyleaskine

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Mar 18th, 2026
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  1. Sun Mar 15 18:55:47 2026
  2. Sun Mar 15 18:55:47 2026
  3. Sun Mar 15 18:55:47 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Mar 15 18:55:47 2026 random seeds: d0c2b773 a67310ab
  5. Sun Mar 15 18:55:47 2026 Using 8 OpenMP threads
  6. Sun Mar 15 18:55:47 2026 factoring 218198165662535123056655059999884464225634635100164106498687658951165006488694571129125364018191399150520448403098317837269845871184690613699250099372696747764796058221834092789318453229 (186 digits)
  7. Sun Mar 15 18:55:48 2026 searching for 15-digit factors
  8. Sun Mar 15 18:55:48 2026 commencing number field sieve (186-digit input)
  9. Sun Mar 15 18:55:48 2026 R0: -639376756764552267704178705887472509
  10. Sun Mar 15 18:55:48 2026 R1: 67579445174499774060697
  11. Sun Mar 15 18:55:48 2026 A0: 1540511622378021942554389548338877004917718320
  12. Sun Mar 15 18:55:48 2026 A1: -189176805065136242829536187720946610036
  13. Sun Mar 15 18:55:48 2026 A2: 649235285935096604026086622347
  14. Sun Mar 15 18:55:48 2026 A3: 66643301918697002149781
  15. Sun Mar 15 18:55:48 2026 A4: 701631547369998
  16. Sun Mar 15 18:55:48 2026 A5: 12252240
  17. Sun Mar 15 18:55:48 2026 skew 54390758.00, size 4.262e-18, alpha -9.582, combined = 4.274e-14 rroots = 3
  18. Sun Mar 15 18:55:48 2026
  19. Sun Mar 15 18:55:48 2026 commencing relation filtering
  20. Sun Mar 15 18:55:48 2026 target densities: 85 100 115 130
  21. Sun Mar 15 18:55:48 2026 estimated available RAM is 78540.1 MB
  22. Sun Mar 15 18:55:48 2026 commencing duplicate removal, pass 1
  23. Sun Mar 15 18:56:28 2026 error -1 reading relation 21966341
  24. Sun Mar 15 18:56:40 2026 error -1 reading relation 27940118
  25. Sun Mar 15 18:57:08 2026 error -1 reading relation 42204567
  26. Sun Mar 15 18:57:12 2026 error -1 reading relation 44224125
  27. Sun Mar 15 18:57:18 2026 error -1 reading relation 47168104
  28. Sun Mar 15 18:57:37 2026 error -1 reading relation 57989666
  29. Sun Mar 15 18:57:37 2026 error -1 reading relation 57991581
  30. Sun Mar 15 18:57:37 2026 error -1 reading relation 58248707
  31. Sun Mar 15 18:57:37 2026 error -1 reading relation 58575397
  32. Sun Mar 15 18:57:57 2026 error -1 reading relation 68735850
  33. Sun Mar 15 18:58:02 2026 error -1 reading relation 70914053
  34. Sun Mar 15 18:58:03 2026 error -1 reading relation 71325572
  35. Sun Mar 15 18:58:11 2026 error -1 reading relation 74586632
  36. Sun Mar 15 18:58:32 2026 error -1 reading relation 84684999
  37. Sun Mar 15 18:58:36 2026 error -1 reading relation 86867684
  38. Sun Mar 15 18:58:48 2026 error -1 reading relation 92054074
  39. Sun Mar 15 18:58:49 2026 error -1 reading relation 93067015
  40. Sun Mar 15 18:58:59 2026 error -1 reading relation 97065645
  41. Sun Mar 15 18:59:04 2026 error -1 reading relation 99593187
  42. Sun Mar 15 18:59:23 2026 error -1 reading relation 108565441
  43. Sun Mar 15 18:59:39 2026 error -1 reading relation 116068468
  44. Sun Mar 15 18:59:50 2026 error -1 reading relation 121341761
  45. Sun Mar 15 18:59:59 2026 error -1 reading relation 126091898
  46. Sun Mar 15 19:00:01 2026 error -1 reading relation 126608585
  47. Sun Mar 15 19:00:33 2026 error -1 reading relation 144087458
  48. Sun Mar 15 19:00:37 2026 error -1 reading relation 145743704
  49. Sun Mar 15 19:00:44 2026 error -1 reading relation 149810649
  50. Sun Mar 15 19:00:57 2026 error -1 reading relation 156440169
  51. Sun Mar 15 19:01:25 2026 error -1 reading relation 170855401
  52. Sun Mar 15 19:01:36 2026 error -1 reading relation 176067453
  53. Sun Mar 15 19:01:39 2026 error -1 reading relation 177446377
  54. Sun Mar 15 19:01:41 2026 error -1 reading relation 178301109
  55. Sun Mar 15 19:01:41 2026 error -1 reading relation 178310179
  56. Sun Mar 15 19:01:41 2026 error -1 reading relation 178623097
  57. Sun Mar 15 19:01:53 2026 error -1 reading relation 183988658
  58. Sun Mar 15 19:01:57 2026 error -1 reading relation 185849845
  59. Sun Mar 15 19:02:08 2026 error -1 reading relation 189895679
  60. Sun Mar 15 19:02:13 2026 error -1 reading relation 191670207
  61. Sun Mar 15 19:02:30 2026 error -1 reading relation 198647830
  62. Sun Mar 15 19:02:33 2026 error -1 reading relation 200045291
  63. Sun Mar 15 19:02:38 2026 error -15 reading relation 202689731
  64. Sun Mar 15 19:02:41 2026 error -15 reading relation 204192624
  65. Sun Mar 15 19:02:46 2026 error -1 reading relation 206411173
  66. Sun Mar 15 19:02:47 2026 error -1 reading relation 207073602
  67. Sun Mar 15 19:02:48 2026 error -1 reading relation 207397335
  68. Sun Mar 15 19:02:58 2026 error -1 reading relation 211708927
  69. Sun Mar 15 19:03:11 2026 error -1 reading relation 217568340
  70. Sun Mar 15 19:03:23 2026 error -1 reading relation 222593874
  71. Sun Mar 15 19:04:12 2026 error -1 reading relation 240698908
  72. Sun Mar 15 19:04:24 2026 error -1 reading relation 245217438
  73. Sun Mar 15 19:04:28 2026 error -1 reading relation 246716049
  74. Sun Mar 15 19:04:29 2026 error -1 reading relation 247010019
  75. Sun Mar 15 19:04:54 2026 error -1 reading relation 257818466
  76. Sun Mar 15 19:05:00 2026 error -1 reading relation 260025566
  77. Sun Mar 15 19:05:30 2026 error -1 reading relation 273453393
  78. Sun Mar 15 19:05:37 2026 error -1 reading relation 277015392
  79. Sun Mar 15 19:05:38 2026 error -1 reading relation 277320889
  80. Sun Mar 15 19:05:39 2026 error -1 reading relation 277858525
  81. Sun Mar 15 19:05:39 2026 error -1 reading relation 278025085
  82. Sun Mar 15 19:05:40 2026 error -1 reading relation 278310256
  83. Sun Mar 15 19:05:44 2026 error -1 reading relation 280528492
  84. Sun Mar 15 19:05:44 2026 error -1 reading relation 280643631
  85. Sun Mar 15 19:05:45 2026 error -1 reading relation 280843303
  86. Sun Mar 15 19:05:47 2026 error -1 reading relation 281703330
  87. Sun Mar 15 19:05:50 2026 error -1 reading relation 283790585
  88. Sun Mar 15 19:05:59 2026 error -1 reading relation 288185693
  89. Sun Mar 15 19:06:04 2026 error -1 reading relation 290403417
  90. Sun Mar 15 19:06:32 2026 error -1 reading relation 303379324
  91. Sun Mar 15 19:06:35 2026 error -1 reading relation 304846260
  92. Sun Mar 15 19:06:35 2026 error -1 reading relation 304979283
  93. Sun Mar 15 19:06:38 2026 error -1 reading relation 306418404
  94. Sun Mar 15 19:06:39 2026 error -1 reading relation 306507025
  95. Sun Mar 15 19:06:43 2026 error -1 reading relation 308599906
  96. Sun Mar 15 19:06:47 2026 error -1 reading relation 310981363
  97. Sun Mar 15 19:07:22 2026 error -1 reading relation 327201655
  98. Sun Mar 15 19:07:30 2026 error -1 reading relation 331497536
  99. Sun Mar 15 19:07:33 2026 error -1 reading relation 332634018
  100. Sun Mar 15 19:07:48 2026 skipped 1 relations with b > 2^32
  101. Sun Mar 15 19:07:48 2026 skipped 2 relations with composite factors
  102. Sun Mar 15 19:07:48 2026 skipped 595 malformed relations
  103. Sun Mar 15 19:07:48 2026 found 85687825 hash collisions in 340879272 relations
  104. Sun Mar 15 19:08:03 2026 added 122537 free relations
  105. Sun Mar 15 19:08:03 2026 commencing duplicate removal, pass 2
  106. Sun Mar 15 19:11:51 2026 found 98898904 duplicates and 242102905 unique relations
  107. Sun Mar 15 19:11:51 2026 memory use: 2643.0 MB
  108. Sun Mar 15 19:11:51 2026 reading ideals above 720000
  109. Sun Mar 15 19:11:51 2026 commencing singleton removal, initial pass
  110. Sun Mar 15 19:32:58 2026 memory use: 6024.0 MB
  111. Sun Mar 15 19:32:59 2026 reading all ideals from disk
  112. Sun Mar 15 19:33:09 2026 memory use: 11918.1 MB
  113. Sun Mar 15 19:33:30 2026 keeping 243399336 ideals with weight <= 200, target excess is 1269678
  114. Sun Mar 15 19:33:57 2026 commencing in-memory singleton removal
  115. Sun Mar 15 19:34:01 2026 begin with 242102905 relations and 243399336 unique ideals
  116. Sun Mar 15 19:34:51 2026 reduce to 135407234 relations and 124376301 ideals in 21 passes
  117. Sun Mar 15 19:34:51 2026 max relations containing the same ideal: 143
  118. Sun Mar 15 19:35:56 2026 removing 8530378 relations and 7530378 ideals in 1000000 cliques
  119. Sun Mar 15 19:35:59 2026 commencing in-memory singleton removal
  120. Sun Mar 15 19:36:02 2026 begin with 126876856 relations and 124376301 unique ideals
  121. Sun Mar 15 19:36:19 2026 reduce to 126438926 relations and 116403415 ideals in 9 passes
  122. Sun Mar 15 19:36:19 2026 max relations containing the same ideal: 138
  123. Sun Mar 15 19:37:23 2026 removing 6420947 relations and 5420947 ideals in 1000000 cliques
  124. Sun Mar 15 19:37:26 2026 commencing in-memory singleton removal
  125. Sun Mar 15 19:37:28 2026 begin with 120017979 relations and 116403415 unique ideals
  126. Sun Mar 15 19:37:43 2026 reduce to 119740974 relations and 110703080 ideals in 8 passes
  127. Sun Mar 15 19:37:43 2026 max relations containing the same ideal: 136
  128. Sun Mar 15 19:38:42 2026 removing 5768239 relations and 4768239 ideals in 1000000 cliques
  129. Sun Mar 15 19:38:45 2026 commencing in-memory singleton removal
  130. Sun Mar 15 19:38:47 2026 begin with 113972735 relations and 110703080 unique ideals
  131. Sun Mar 15 19:38:59 2026 reduce to 113730906 relations and 105690998 ideals in 8 passes
  132. Sun Mar 15 19:38:59 2026 max relations containing the same ideal: 128
  133. Sun Mar 15 19:39:51 2026 removing 5425716 relations and 4425716 ideals in 1000000 cliques
  134. Sun Mar 15 19:39:54 2026 commencing in-memory singleton removal
  135. Sun Mar 15 19:39:56 2026 begin with 108305190 relations and 105690998 unique ideals
  136. Sun Mar 15 19:40:07 2026 reduce to 108078796 relations and 101036948 ideals in 8 passes
  137. Sun Mar 15 19:40:07 2026 max relations containing the same ideal: 124
  138. Sun Mar 15 19:40:44 2026 removing 5208142 relations and 4208142 ideals in 1000000 cliques
  139. Sun Mar 15 19:40:46 2026 commencing in-memory singleton removal
  140. Sun Mar 15 19:40:48 2026 begin with 102870654 relations and 101036948 unique ideals
  141. Sun Mar 15 19:40:59 2026 reduce to 102652222 relations and 96608451 ideals in 8 passes
  142. Sun Mar 15 19:40:59 2026 max relations containing the same ideal: 120
  143. Sun Mar 15 19:41:45 2026 removing 5067677 relations and 4067677 ideals in 1000000 cliques
  144. Sun Mar 15 19:41:47 2026 commencing in-memory singleton removal
  145. Sun Mar 15 19:41:49 2026 begin with 97584545 relations and 96608451 unique ideals
  146. Sun Mar 15 19:42:00 2026 reduce to 97366007 relations and 92320292 ideals in 8 passes
  147. Sun Mar 15 19:42:00 2026 max relations containing the same ideal: 116
  148. Sun Mar 15 19:42:44 2026 removing 4976258 relations and 3976258 ideals in 1000000 cliques
  149. Sun Mar 15 19:42:46 2026 commencing in-memory singleton removal
  150. Sun Mar 15 19:42:48 2026 begin with 92389749 relations and 92320292 unique ideals
  151. Sun Mar 15 19:42:56 2026 reduce to 92166435 relations and 88118635 ideals in 7 passes
  152. Sun Mar 15 19:42:56 2026 max relations containing the same ideal: 113
  153. Sun Mar 15 19:43:39 2026 removing 4918818 relations and 3918818 ideals in 1000000 cliques
  154. Sun Mar 15 19:43:41 2026 commencing in-memory singleton removal
  155. Sun Mar 15 19:43:43 2026 begin with 87247617 relations and 88118635 unique ideals
  156. Sun Mar 15 19:43:52 2026 reduce to 87016909 relations and 83966895 ideals in 8 passes
  157. Sun Mar 15 19:43:52 2026 max relations containing the same ideal: 107
  158. Sun Mar 15 19:44:34 2026 removing 4888710 relations and 3888710 ideals in 1000000 cliques
  159. Sun Mar 15 19:44:36 2026 commencing in-memory singleton removal
  160. Sun Mar 15 19:44:38 2026 begin with 82128199 relations and 83966895 unique ideals
  161. Sun Mar 15 19:44:49 2026 reduce to 81885484 relations and 79833066 ideals in 10 passes
  162. Sun Mar 15 19:44:49 2026 max relations containing the same ideal: 105
  163. Sun Mar 15 19:45:27 2026 removing 3130394 relations and 2550803 ideals in 579591 cliques
  164. Sun Mar 15 19:45:29 2026 commencing in-memory singleton removal
  165. Sun Mar 15 19:45:30 2026 begin with 78755090 relations and 79833066 unique ideals
  166. Sun Mar 15 19:45:38 2026 reduce to 78655102 relations and 77181665 ideals in 7 passes
  167. Sun Mar 15 19:45:38 2026 max relations containing the same ideal: 104
  168. Sun Mar 15 19:46:23 2026 relations with 0 large ideals: 4467
  169. Sun Mar 15 19:46:23 2026 relations with 1 large ideals: 17515
  170. Sun Mar 15 19:46:23 2026 relations with 2 large ideals: 266842
  171. Sun Mar 15 19:46:23 2026 relations with 3 large ideals: 1802585
  172. Sun Mar 15 19:46:23 2026 relations with 4 large ideals: 6681786
  173. Sun Mar 15 19:46:23 2026 relations with 5 large ideals: 14966244
  174. Sun Mar 15 19:46:23 2026 relations with 6 large ideals: 21168754
  175. Sun Mar 15 19:46:23 2026 relations with 7+ large ideals: 33746909
  176. Sun Mar 15 19:46:23 2026 commencing 2-way merge
  177. Sun Mar 15 19:47:22 2026 reduce to 49440859 relation sets and 47967421 unique ideals
  178. Sun Mar 15 19:47:26 2026
  179. Sun Mar 15 19:47:26 2026 trying target density 85
  180. Sun Mar 15 19:47:26 2026 commencing full merge
  181. Sun Mar 15 20:04:34 2026 memory use: 5452.1 MB
  182. Sun Mar 15 20:04:45 2026 found 24718395 cycles, need 24519621
  183. Sun Mar 15 20:04:55 2026 weight of 24519621 cycles is about 2084300856 (85.01/cycle)
  184. Sun Mar 15 20:04:55 2026 distribution of cycle lengths:
  185. Sun Mar 15 20:04:55 2026 1 relations: 3002060
  186. Sun Mar 15 20:04:55 2026 2 relations: 2712381
  187. Sun Mar 15 20:04:55 2026 3 relations: 2675424
  188. Sun Mar 15 20:04:55 2026 4 relations: 2443316
  189. Sun Mar 15 20:04:55 2026 5 relations: 2297131
  190. Sun Mar 15 20:04:55 2026 6 relations: 2007688
  191. Sun Mar 15 20:04:55 2026 7 relations: 1810645
  192. Sun Mar 15 20:04:55 2026 8 relations: 1582114
  193. Sun Mar 15 20:04:55 2026 9 relations: 1359545
  194. Sun Mar 15 20:04:55 2026 10+ relations: 4629317
  195. Sun Mar 15 20:04:55 2026 heaviest cycle: 21 relations
  196. Sun Mar 15 20:05:04 2026 target density 85 succeeded, avg weight 85.01
  197. Sun Mar 15 20:05:05 2026 commencing cycle optimization
  198. Sun Mar 15 20:05:56 2026 start with 144580757 relations
  199. Sun Mar 15 20:10:42 2026 pruned 3762988 relations
  200. Sun Mar 15 20:10:46 2026 memory use: 4691.9 MB
  201. Sun Mar 15 20:10:46 2026 distribution of cycle lengths:
  202. Sun Mar 15 20:10:46 2026 1 relations: 3002060
  203. Sun Mar 15 20:10:46 2026 2 relations: 2779061
  204. Sun Mar 15 20:10:46 2026 3 relations: 2774296
  205. Sun Mar 15 20:10:46 2026 4 relations: 2509840
  206. Sun Mar 15 20:10:46 2026 5 relations: 2356423
  207. Sun Mar 15 20:10:46 2026 6 relations: 2044850
  208. Sun Mar 15 20:10:46 2026 7 relations: 1835653
  209. Sun Mar 15 20:10:46 2026 8 relations: 1588308
  210. Sun Mar 15 20:10:46 2026 9 relations: 1354135
  211. Sun Mar 15 20:10:46 2026 10+ relations: 4274995
  212. Sun Mar 15 20:10:46 2026 heaviest cycle: 21 relations
  213. Sun Mar 15 20:11:52 2026
  214. Sun Mar 15 20:11:52 2026 trying target density 100
  215. Sun Mar 15 20:11:52 2026 commencing full merge
  216. Sun Mar 15 20:31:22 2026 memory use: 5557.5 MB
  217. Sun Mar 15 20:31:32 2026 found 23269001 cycles, need 23091621
  218. Sun Mar 15 20:31:40 2026 weight of 23091621 cycles is about 2309640026 (100.02/cycle)
  219. Sun Mar 15 20:31:40 2026 distribution of cycle lengths:
  220. Sun Mar 15 20:31:40 2026 1 relations: 2327333
  221. Sun Mar 15 20:31:40 2026 2 relations: 2157847
  222. Sun Mar 15 20:31:40 2026 3 relations: 2180483
  223. Sun Mar 15 20:31:40 2026 4 relations: 2028398
  224. Sun Mar 15 20:31:40 2026 5 relations: 1934156
  225. Sun Mar 15 20:31:40 2026 6 relations: 1796897
  226. Sun Mar 15 20:31:40 2026 7 relations: 1637152
  227. Sun Mar 15 20:31:40 2026 8 relations: 1467141
  228. Sun Mar 15 20:31:40 2026 9 relations: 1328320
  229. Sun Mar 15 20:31:40 2026 10+ relations: 6233894
  230. Sun Mar 15 20:31:40 2026 heaviest cycle: 25 relations
  231. Sun Mar 15 20:31:45 2026 target density 100 succeeded, avg weight 100.02
  232. Sun Mar 15 20:31:48 2026 commencing cycle optimization
  233. Sun Mar 15 20:32:40 2026 start with 159893899 relations
  234. Sun Mar 15 20:38:45 2026 pruned 5076651 relations
  235. Sun Mar 15 20:38:48 2026 memory use: 4854.0 MB
  236. Sun Mar 15 20:38:48 2026 distribution of cycle lengths:
  237. Sun Mar 15 20:38:48 2026 1 relations: 2327333
  238. Sun Mar 15 20:38:48 2026 2 relations: 2215328
  239. Sun Mar 15 20:38:48 2026 3 relations: 2267137
  240. Sun Mar 15 20:38:48 2026 4 relations: 2094766
  241. Sun Mar 15 20:38:48 2026 5 relations: 2001766
  242. Sun Mar 15 20:38:48 2026 6 relations: 1844010
  243. Sun Mar 15 20:38:48 2026 7 relations: 1675580
  244. Sun Mar 15 20:38:48 2026 8 relations: 1493246
  245. Sun Mar 15 20:38:48 2026 9 relations: 1344708
  246. Sun Mar 15 20:38:48 2026 10+ relations: 5827747
  247. Sun Mar 15 20:38:48 2026 heaviest cycle: 25 relations
  248. Sun Mar 15 20:39:48 2026
  249. Sun Mar 15 20:39:48 2026 trying target density 115
  250. Sun Mar 15 20:39:48 2026 commencing full merge
  251. Sun Mar 15 21:01:48 2026 memory use: 5636.1 MB
  252. Sun Mar 15 21:02:01 2026 found 22110130 cycles, need 22001621
  253. Sun Mar 15 21:02:04 2026 weight of 22001621 cycles is about 2530384682 (115.01/cycle)
  254. Sun Mar 15 21:02:04 2026 distribution of cycle lengths:
  255. Sun Mar 15 21:02:04 2026 1 relations: 1862173
  256. Sun Mar 15 21:02:04 2026 2 relations: 1777062
  257. Sun Mar 15 21:02:04 2026 3 relations: 1816013
  258. Sun Mar 15 21:02:04 2026 4 relations: 1733156
  259. Sun Mar 15 21:02:04 2026 5 relations: 1665324
  260. Sun Mar 15 21:02:04 2026 6 relations: 1569270
  261. Sun Mar 15 21:02:04 2026 7 relations: 1477548
  262. Sun Mar 15 21:02:04 2026 8 relations: 1366329
  263. Sun Mar 15 21:02:04 2026 9 relations: 1250155
  264. Sun Mar 15 21:02:04 2026 10+ relations: 7484591
  265. Sun Mar 15 21:02:04 2026 heaviest cycle: 28 relations
  266. Sun Mar 15 21:02:10 2026 target density 115 succeeded, avg weight 115.01
  267. Sun Mar 15 21:02:12 2026 commencing cycle optimization
  268. Sun Mar 15 21:03:07 2026 start with 174697646 relations
  269. Sun Mar 15 21:11:17 2026 pruned 6418782 relations
  270. Sun Mar 15 21:11:17 2026 memory use: 5006.5 MB
  271. Sun Mar 15 21:11:17 2026 distribution of cycle lengths:
  272. Sun Mar 15 21:11:17 2026 1 relations: 1862173
  273. Sun Mar 15 21:11:17 2026 2 relations: 1825885
  274. Sun Mar 15 21:11:17 2026 3 relations: 1891822
  275. Sun Mar 15 21:11:17 2026 4 relations: 1795187
  276. Sun Mar 15 21:11:17 2026 5 relations: 1732440
  277. Sun Mar 15 21:11:17 2026 6 relations: 1623936
  278. Sun Mar 15 21:11:17 2026 7 relations: 1525175
  279. Sun Mar 15 21:11:17 2026 8 relations: 1402155
  280. Sun Mar 15 21:11:17 2026 9 relations: 1278776
  281. Sun Mar 15 21:11:17 2026 10+ relations: 7064072
  282. Sun Mar 15 21:11:17 2026 heaviest cycle: 28 relations
  283. Sun Mar 15 21:12:22 2026
  284. Sun Mar 15 21:12:22 2026 trying target density 130
  285. Sun Mar 15 21:12:22 2026 commencing full merge
  286. Sun Mar 15 21:57:29 2026 memory use: 2234.0 MB
  287. Sun Mar 15 21:57:29 2026 found 361387 cycles, need 10608875
  288. Sun Mar 15 21:57:29 2026 too few cycles, matrix probably cannot build
  289. Sun Mar 15 21:57:29 2026 target density 130: merge failed
  290. Sun Mar 15 21:57:34 2026 RelProcTime: 10906
  291. Sun Mar 15 21:57:34 2026
  292. Sun Mar 15 21:57:34 2026 commencing linear algebra
  293. Sun Mar 15 21:57:34 2026 using VBITS=256
  294. Sun Mar 15 21:57:34 2026 building matrices for all .cyc.## files
  295. Sun Mar 15 21:57:34 2026
  296. Sun Mar 15 21:57:34 2026 building matrix for density 100
  297. Sun Mar 15 21:57:46 2026 read 23091621 cycles
  298. Sun Mar 15 21:58:38 2026 cycles contain 77681135 unique relations
  299. Sun Mar 15 22:05:13 2026 read 77681135 relations
  300. Sun Mar 15 22:05:51 2026 using 20 quadratic characters above 4294917295
  301. Sun Mar 15 22:06:29 2026 building initial matrix
  302. Sun Mar 15 22:24:40 2026 memory use: 11193.4 MB
  303. Sun Mar 15 22:24:59 2026 read 23091621 cycles
  304. Sun Mar 15 22:25:02 2026 matrix is 23091441 x 23091621 (9415.3 MB) with weight 2946584276 (127.60/col)
  305. Sun Mar 15 22:25:02 2026 sparse part has weight 2191061802 (94.89/col)
  306. Sun Mar 15 22:28:35 2026 filtering completed in 2 passes
  307. Sun Mar 15 22:28:41 2026 matrix is 23085442 x 23085621 (9414.8 MB) with weight 2946315811 (127.63/col)
  308. Sun Mar 15 22:28:41 2026 sparse part has weight 2190998476 (94.91/col)
  309. Sun Mar 15 22:29:48 2026
  310. Sun Mar 15 22:29:48 2026 building matrix for density 115
  311. Sun Mar 15 22:29:50 2026 read 22001621 cycles
  312. Sun Mar 15 22:30:31 2026 cycles contain 77680746 unique relations
  313. Sun Mar 15 22:33:14 2026 read 77680746 relations
  314. Sun Mar 15 22:33:43 2026 using 20 quadratic characters above 4294917295
  315. Sun Mar 15 22:34:13 2026 building initial matrix
  316. Sun Mar 15 22:52:14 2026 memory use: 11211.5 MB
  317. Sun Mar 15 22:52:22 2026 read 22001621 cycles
  318. Sun Mar 15 22:52:25 2026 matrix is 22001443 x 22001621 (10067.8 MB) with weight 3126766663 (142.12/col)
  319. Sun Mar 15 22:52:25 2026 sparse part has weight 2375196971 (107.96/col)
  320. Sun Mar 15 22:56:16 2026 filtering completed in 2 passes
  321. Sun Mar 15 22:56:22 2026 matrix is 21998887 x 21999064 (10067.6 MB) with weight 3126643675 (142.13/col)
  322. Sun Mar 15 22:56:22 2026 sparse part has weight 2375167442 (107.97/col)
  323. Sun Mar 15 22:57:18 2026
  324. Sun Mar 15 22:57:18 2026 building matrix for density 85
  325. Sun Mar 15 22:57:21 2026 read 24519621 cycles
  326. Sun Mar 15 22:57:54 2026 cycles contain 77663643 unique relations
  327. Sun Mar 15 23:00:36 2026 read 77663643 relations
  328. Sun Mar 15 23:01:03 2026 using 20 quadratic characters above 4294917295
  329. Sun Mar 15 23:01:34 2026 building initial matrix
  330. Sun Mar 15 23:17:38 2026 memory use: 11181.4 MB
  331. Sun Mar 15 23:17:49 2026 read 24519621 cycles
  332. Sun Mar 15 23:17:52 2026 matrix is 24519442 x 24519621 (8752.4 MB) with weight 2761874376 (112.64/col)
  333. Sun Mar 15 23:17:52 2026 sparse part has weight 2000148787 (81.57/col)
  334. Sun Mar 15 23:21:51 2026 filtering completed in 2 passes
  335. Sun Mar 15 23:21:56 2026 matrix is 24508794 x 24508972 (8751.6 MB) with weight 2761455012 (112.67/col)
  336. Sun Mar 15 23:21:56 2026 sparse part has weight 2000060955 (81.61/col)
  337. Sun Mar 15 23:22:44 2026 BLanczosTime: 5110
  338. Sun Mar 15 23:22:44 2026 elapsed time 04:26:57
  339. Mon Mar 16 04:38:51 2026
  340. Mon Mar 16 04:38:51 2026
  341. Mon Mar 16 04:38:51 2026 Msieve v. 1.54 (SVN Unversioned directory)
  342. Mon Mar 16 04:38:51 2026 random seeds: 4d15afd4 08eb8ba9
  343. Mon Mar 16 04:38:51 2026 Using 8 OpenMP threads
  344. Mon Mar 16 04:38:51 2026 factoring 218198165662535123056655059999884464225634635100164106498687658951165006488694571129125364018191399150520448403098317837269845871184690613699250099372696747764796058221834092789318453229 (186 digits)
  345. Mon Mar 16 04:38:51 2026 searching for 15-digit factors
  346. Mon Mar 16 04:38:51 2026 commencing number field sieve (186-digit input)
  347. Mon Mar 16 04:38:51 2026 R0: -639376756764552267704178705887472509
  348. Mon Mar 16 04:38:51 2026 R1: 67579445174499774060697
  349. Mon Mar 16 04:38:51 2026 A0: 1540511622378021942554389548338877004917718320
  350. Mon Mar 16 04:38:51 2026 A1: -189176805065136242829536187720946610036
  351. Mon Mar 16 04:38:51 2026 A2: 649235285935096604026086622347
  352. Mon Mar 16 04:38:51 2026 A3: 66643301918697002149781
  353. Mon Mar 16 04:38:51 2026 A4: 701631547369998
  354. Mon Mar 16 04:38:51 2026 A5: 12252240
  355. Mon Mar 16 04:38:51 2026 skew 54390758.00, size 4.262e-18, alpha -9.582, combined = 4.274e-14 rroots = 3
  356. Mon Mar 16 04:38:51 2026
  357. Mon Mar 16 04:38:51 2026 commencing linear algebra
  358. Mon Mar 16 04:38:51 2026 using VBITS=256
  359. Mon Mar 16 04:38:51 2026 selected density 115 for linear algebra
  360. Mon Mar 16 04:39:17 2026 read 21999064 cycles
  361. Mon Mar 16 04:39:42 2026 cycles contain 77680563 unique relations
  362. Mon Mar 16 04:40:49 2026 read 77680563 relations
  363. Mon Mar 16 04:41:13 2026 using 20 quadratic characters above 4294917295
  364. Mon Mar 16 04:41:38 2026 building initial matrix
  365. Mon Mar 16 04:52:16 2026 memory use: 11211.4 MB
  366. Mon Mar 16 04:52:22 2026 read 21999064 cycles
  367. Mon Mar 16 04:52:24 2026 matrix is 21998887 x 21999064 (10067.6 MB) with weight 3126643675 (142.13/col)
  368. Mon Mar 16 04:52:24 2026 sparse part has weight 2375167442 (107.97/col)
  369. Mon Mar 16 04:53:35 2026 filtering completed in 1 passes
  370. Mon Mar 16 04:53:36 2026 matrix is 21998887 x 21999064 (10067.6 MB) with weight 3126643675 (142.13/col)
  371. Mon Mar 16 04:53:36 2026 sparse part has weight 2375167442 (107.97/col)
  372. Mon Mar 16 04:53:58 2026 matrix starts at (0, 0)
  373. Mon Mar 16 04:53:59 2026 matrix is 21998887 x 21999064 (10067.6 MB) with weight 3126643675 (142.13/col)
  374. Mon Mar 16 04:53:59 2026 sparse part has weight 2375167442 (107.97/col)
  375. Mon Mar 16 04:53:59 2026 saving the first 240 matrix rows for later
  376. Mon Mar 16 04:54:01 2026 matrix includes 256 packed rows
  377. Mon Mar 16 04:54:05 2026 matrix is 21998647 x 21999064 (9184.2 MB) with weight 2192043957 (99.64/col)
  378. Mon Mar 16 04:54:05 2026 sparse part has weight 2055595472 (93.44/col)
  379. Mon Mar 16 04:54:06 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  380. Mon Mar 16 04:54:06 2026 selected card has CUDA arch 12.0
  381. Mon Mar 16 04:56:51 2026 commencing Lanczos iteration
  382. Mon Mar 16 04:56:58 2026 memory use: 21389.5 MB
  383. Mon Mar 16 05:00:42 2026 linear algebra at 0.1%, ETA 44h25m
  384. Mon Mar 16 05:06:40 2026 checking every 10000 dimensions, checkpointing every 480000 dimensions
  385. Wed Mar 18 02:00:17 2026 lanczos halted after 86192 iterations (dim = 21998645)
  386. Wed Mar 18 02:02:43 2026 recovered 31 nontrivial dependencies
  387. Wed Mar 18 02:02:52 2026 BLanczosTime: 163417
  388. Wed Mar 18 02:02:52 2026
  389. Wed Mar 18 02:02:52 2026 commencing square root phase
  390. Wed Mar 18 02:02:52 2026 handling dependencies 1 to 64
  391. Wed Mar 18 02:02:52 2026 reading relations for dependency 1
  392. Wed Mar 18 02:03:05 2026 read 11001233 cycles
  393. Wed Mar 18 02:03:42 2026 cycles contain 38852806 unique relations
  394. Wed Mar 18 02:08:51 2026 read 38852806 relations
  395. Wed Mar 18 02:12:16 2026 multiplying 38852806 relations
  396. Wed Mar 18 02:18:11 2026 multiply complete, coefficients have about 2447.95 million bits
  397. Wed Mar 18 02:18:16 2026 initial square root is modulo 309367
  398. Wed Mar 18 02:30:06 2026 sqrtTime: 1634
  399. Wed Mar 18 02:30:06 2026 p77 factor: 31056315018316790482234415281889814326420503678745786717318275409248225012873
  400. Wed Mar 18 02:30:06 2026 p109 factor: 7025887183777064972441017428438309873119545178675776129004477073159230526947415681222640423620421619516149573
  401. Wed Mar 18 02:30:06 2026 elapsed time 45:50:51
  402.  
Tags: math
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