kyleaskine

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Aug 25th, 2026
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  1. Mon Aug 24 19:32:34 2026
  2. Mon Aug 24 19:32:34 2026
  3. Mon Aug 24 19:32:34 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Aug 24 19:32:34 2026 random seeds: 8c2cb951 2061927b
  5. Mon Aug 24 19:32:34 2026 Using 8 OpenMP threads
  6. Mon Aug 24 19:32:34 2026 factoring 433141372241136191207503109410580407351379842663869378508994621117909519374258942869406240925463384174141561764385165803153345635996384592398880294092364027985956422884147614833069469 (183 digits)
  7. Mon Aug 24 19:32:35 2026 no P-1/P+1/ECM available, skipping
  8. Mon Aug 24 19:32:35 2026 commencing number field sieve (183-digit input)
  9. Mon Aug 24 19:32:35 2026 R0: -220466750880400167653761793111085563
  10. Mon Aug 24 19:32:35 2026 R1: 8483413924738319734439
  11. Mon Aug 24 19:32:35 2026 A0: -15929681202760367764881259845549247676388960
  12. Mon Aug 24 19:32:35 2026 A1: 4781341221245582193676793754738428458
  13. Mon Aug 24 19:32:35 2026 A2: 30698323961195860683139013465
  14. Mon Aug 24 19:32:35 2026 A3: -14449102901976249573215
  15. Mon Aug 24 19:32:35 2026 A4: -63956976603852
  16. Mon Aug 24 19:32:35 2026 A5: 3326400
  17. Mon Aug 24 19:32:35 2026 skew 32991020.88, size 1.042e-17, alpha -8.325, combined = 7.525e-14 rroots = 5
  18. Mon Aug 24 19:32:35 2026
  19. Mon Aug 24 19:32:35 2026 commencing relation filtering
  20. Mon Aug 24 19:32:35 2026 setting 3 target densities:Mon Aug 24 19:32:35 2026 100Mon Aug 24 19:32:35 2026 120Mon Aug 24 19:32:35 2026 140Mon Aug 24 19:32:35 2026
  21. Mon Aug 24 19:32:35 2026 estimated available RAM is 78540.1 MB
  22. Mon Aug 24 19:32:35 2026 commencing duplicate removal, pass 1
  23. Mon Aug 24 19:32:54 2026 error -1 reading relation 17333568
  24. Mon Aug 24 19:33:02 2026 error -1 reading relation 23776954
  25. Mon Aug 24 19:33:17 2026 error -1 reading relation 34160417
  26. Mon Aug 24 19:33:18 2026 error -1 reading relation 34983104
  27. Mon Aug 24 19:33:28 2026 error -1 reading relation 41690296
  28. Mon Aug 24 19:33:36 2026 error -1 reading relation 47380811
  29. Mon Aug 24 19:33:53 2026 error -15 reading relation 59217043
  30. Mon Aug 24 19:33:53 2026 error -1 reading relation 59321086
  31. Mon Aug 24 19:34:32 2026 error -1 reading relation 85255852
  32. Mon Aug 24 19:34:41 2026 error -1 reading relation 90944171
  33. Mon Aug 24 19:34:46 2026 error -1 reading relation 93832156
  34. Mon Aug 24 19:34:48 2026 error -1 reading relation 95277871
  35. Mon Aug 24 19:35:01 2026 error -1 reading relation 104321157
  36. Mon Aug 24 19:35:10 2026 error -1 reading relation 110377789
  37. Mon Aug 24 19:35:10 2026 error -1 reading relation 110510874
  38. Mon Aug 24 19:35:16 2026 error -1 reading relation 114402849
  39. Mon Aug 24 19:35:18 2026 error -1 reading relation 115912630
  40. Mon Aug 24 19:35:26 2026 error -1 reading relation 120974001
  41. Mon Aug 24 19:35:29 2026 error -1 reading relation 123344426
  42. Mon Aug 24 19:35:54 2026 error -1 reading relation 139238013
  43. Mon Aug 24 19:35:55 2026 error -1 reading relation 139840951
  44. Mon Aug 24 19:35:58 2026 error -1 reading relation 141274863
  45. Mon Aug 24 19:36:02 2026 error -1 reading relation 143919642
  46. Mon Aug 24 19:36:03 2026 error -1 reading relation 144162199
  47. Mon Aug 24 19:36:37 2026 error -1 reading relation 169106773
  48. Mon Aug 24 19:36:42 2026 error -1 reading relation 173316177
  49. Mon Aug 24 19:36:55 2026 error -1 reading relation 183921008
  50. Mon Aug 24 19:37:14 2026 error -1 reading relation 195846516
  51. Mon Aug 24 19:37:45 2026 error -1 reading relation 210938894
  52. Mon Aug 24 19:37:56 2026 error -1 reading relation 219478143
  53. Mon Aug 24 19:37:57 2026 error -1 reading relation 219783751
  54. Mon Aug 24 19:38:04 2026 error -1 reading relation 224980197
  55. Mon Aug 24 19:38:07 2026 error -1 reading relation 226869111
  56. Mon Aug 24 19:38:18 2026 error -1 reading relation 234155619
  57. Mon Aug 24 19:38:23 2026 error -1 reading relation 237328063
  58. Mon Aug 24 19:38:27 2026 error -1 reading relation 239616289
  59. Mon Aug 24 19:38:28 2026 error -1 reading relation 240667465
  60. Mon Aug 24 19:38:29 2026 error -1 reading relation 240876985
  61. Mon Aug 24 19:38:32 2026 error -1 reading relation 242902913
  62. Mon Aug 24 19:38:44 2026 error -1 reading relation 251864707
  63. Mon Aug 24 19:38:50 2026 error -1 reading relation 255528300
  64. Mon Aug 24 19:38:50 2026 error -1 reading relation 255578160
  65. Mon Aug 24 19:38:52 2026 error -1 reading relation 257149660
  66. Mon Aug 24 19:38:56 2026 error -1 reading relation 259483746
  67. Mon Aug 24 19:39:01 2026 error -1 reading relation 262769054
  68. Mon Aug 24 19:39:20 2026 error -1 reading relation 269005438
  69. Mon Aug 24 19:39:17 2026 error -1 reading relation 270682713
  70. Mon Aug 24 19:39:22 2026 error -1 reading relation 272810682
  71. Mon Aug 24 19:39:37 2026 error -1 reading relation 279388059
  72. Mon Aug 24 19:39:50 2026 error -1 reading relation 286261982
  73. Mon Aug 24 19:40:00 2026 error -1 reading relation 289538837
  74. Mon Aug 24 19:40:14 2026 error -1 reading relation 294800340
  75. Mon Aug 24 19:40:13 2026 error -1 reading relation 294958134
  76. Mon Aug 24 19:40:17 2026 error -1 reading relation 297353848
  77. Mon Aug 24 19:40:19 2026 error -1 reading relation 298897031
  78. Mon Aug 24 19:40:27 2026 error -1 reading relation 303729211
  79. Mon Aug 24 19:40:34 2026 error -1 reading relation 308447158
  80. Mon Aug 24 19:40:41 2026 error -1 reading relation 312765640
  81. Mon Aug 24 19:40:55 2026 error -1 reading relation 321879000
  82. Mon Aug 24 19:40:56 2026 error -11 reading relation 321978771
  83. Mon Aug 24 19:40:56 2026 error -1 reading relation 322106892
  84. Mon Aug 24 19:41:07 2026 error -1 reading relation 329277956
  85. Mon Aug 24 19:41:09 2026 error -1 reading relation 330985548
  86. Mon Aug 24 19:41:10 2026 error -1 reading relation 331446427
  87. Mon Aug 24 19:41:13 2026 error -11 reading relation 332913201
  88. Mon Aug 24 19:41:14 2026 skipped 3 relations with composite factors
  89. Mon Aug 24 19:41:14 2026 skipped 556 malformed relations
  90. Mon Aug 24 19:41:14 2026 found 66229524 hash collisions in 333753447 relations
  91. Mon Aug 24 19:41:26 2026 added 121571 free relations
  92. Mon Aug 24 19:41:26 2026 commencing duplicate removal, pass 2
  93. Mon Aug 24 19:47:04 2026 found 69278669 duplicates and 264596349 unique relations
  94. Mon Aug 24 19:47:04 2026 memory use: 1705.5 MB
  95. Mon Aug 24 19:47:11 2026 reading ideals above 720000
  96. Mon Aug 24 19:47:11 2026 commencing singleton removal, initial pass
  97. Mon Aug 24 20:08:30 2026 memory use: 6024.0 MB
  98. Mon Aug 24 20:08:30 2026 reading all ideals from disk
  99. Mon Aug 24 20:14:04 2026 memory use: 12915.3 MB
  100. Mon Aug 24 20:21:21 2026 keeping 248098998 ideals with weight <= 200, target excess is 1385397
  101. Mon Aug 24 20:21:56 2026 commencing in-memory singleton removal
  102. Mon Aug 24 20:22:00 2026 begin with 264596349 relations and 248098998 unique ideals
  103. Mon Aug 24 20:22:26 2026 reduce to 164951004 relations and 138240604 ideals in 15 passes
  104. Mon Aug 24 20:22:26 2026 max relations containing the same ideal: 156
  105. Mon Aug 24 20:24:31 2026 removing 12094262 relations and 10094262 ideals in 2000000 cliques
  106. Mon Aug 24 20:24:34 2026 commencing in-memory singleton removal
  107. Mon Aug 24 20:24:37 2026 begin with 152856742 relations and 138240604 unique ideals
  108. Mon Aug 24 20:24:48 2026 reduce to 152171572 relations and 127450429 ideals in 8 passes
  109. Mon Aug 24 20:24:48 2026 max relations containing the same ideal: 149
  110. Mon Aug 24 20:26:34 2026 removing 9279438 relations and 7279438 ideals in 2000000 cliques
  111. Mon Aug 24 20:26:38 2026 commencing in-memory singleton removal
  112. Mon Aug 24 20:26:40 2026 begin with 142892134 relations and 127450429 unique ideals
  113. Mon Aug 24 20:26:54 2026 reduce to 142431620 relations and 119704215 ideals in 11 passes
  114. Mon Aug 24 20:26:54 2026 max relations containing the same ideal: 139
  115. Mon Aug 24 20:29:03 2026 removing 8430277 relations and 6430277 ideals in 2000000 cliques
  116. Mon Aug 24 20:29:06 2026 commencing in-memory singleton removal
  117. Mon Aug 24 20:29:08 2026 begin with 134001343 relations and 119704215 unique ideals
  118. Mon Aug 24 20:29:17 2026 reduce to 133589238 relations and 112856226 ideals in 8 passes
  119. Mon Aug 24 20:29:17 2026 max relations containing the same ideal: 135
  120. Mon Aug 24 20:30:57 2026 removing 7994408 relations and 5994408 ideals in 2000000 cliques
  121. Mon Aug 24 20:30:59 2026 commencing in-memory singleton removal
  122. Mon Aug 24 20:31:01 2026 begin with 125594830 relations and 112856226 unique ideals
  123. Mon Aug 24 20:31:10 2026 reduce to 125199690 relations and 106461137 ideals in 8 passes
  124. Mon Aug 24 20:31:10 2026 max relations containing the same ideal: 129
  125. Mon Aug 24 20:32:24 2026 removing 7739099 relations and 5739099 ideals in 2000000 cliques
  126. Mon Aug 24 20:32:26 2026 commencing in-memory singleton removal
  127. Mon Aug 24 20:32:28 2026 begin with 117460591 relations and 106461137 unique ideals
  128. Mon Aug 24 20:32:36 2026 reduce to 117067583 relations and 100323245 ideals in 7 passes
  129. Mon Aug 24 20:32:36 2026 max relations containing the same ideal: 123
  130. Mon Aug 24 20:33:46 2026 removing 7577754 relations and 5577754 ideals in 2000000 cliques
  131. Mon Aug 24 20:33:49 2026 commencing in-memory singleton removal
  132. Mon Aug 24 20:33:51 2026 begin with 109489829 relations and 100323245 unique ideals
  133. Mon Aug 24 20:33:58 2026 reduce to 109087198 relations and 94336751 ideals in 8 passes
  134. Mon Aug 24 20:33:58 2026 max relations containing the same ideal: 117
  135. Mon Aug 24 20:35:02 2026 removing 7492081 relations and 5492081 ideals in 2000000 cliques
  136. Mon Aug 24 20:35:08 2026 commencing in-memory singleton removal
  137. Mon Aug 24 20:35:10 2026 begin with 101595117 relations and 94336751 unique ideals
  138. Mon Aug 24 20:35:16 2026 reduce to 101178172 relations and 88421092 ideals in 7 passes
  139. Mon Aug 24 20:35:16 2026 max relations containing the same ideal: 113
  140. Mon Aug 24 20:37:02 2026 removing 7448168 relations and 5448168 ideals in 2000000 cliques
  141. Mon Aug 24 20:37:05 2026 commencing in-memory singleton removal
  142. Mon Aug 24 20:37:08 2026 begin with 93730004 relations and 88421092 unique ideals
  143. Mon Aug 24 20:37:16 2026 reduce to 93285962 relations and 82521145 ideals in 7 passes
  144. Mon Aug 24 20:37:16 2026 max relations containing the same ideal: 106
  145. Mon Aug 24 20:41:28 2026 removing 7443578 relations and 5443578 ideals in 2000000 cliques
  146. Mon Aug 24 20:41:34 2026 commencing in-memory singleton removal
  147. Mon Aug 24 20:41:35 2026 begin with 85842384 relations and 82521145 unique ideals
  148. Mon Aug 24 20:41:40 2026 reduce to 85363572 relations and 76589773 ideals in 7 passes
  149. Mon Aug 24 20:41:40 2026 max relations containing the same ideal: 101
  150. Mon Aug 24 20:43:08 2026 removing 7472404 relations and 5472404 ideals in 2000000 cliques
  151. Mon Aug 24 20:43:16 2026 commencing in-memory singleton removal
  152. Mon Aug 24 20:43:17 2026 begin with 77891168 relations and 76589773 unique ideals
  153. Mon Aug 24 20:43:22 2026 reduce to 77365051 relations and 70580768 ideals in 8 passes
  154. Mon Aug 24 20:43:22 2026 max relations containing the same ideal: 93
  155. Mon Aug 24 20:44:28 2026 removing 7537960 relations and 5537960 ideals in 2000000 cliques
  156. Mon Aug 24 20:44:31 2026 commencing in-memory singleton removal
  157. Mon Aug 24 20:44:32 2026 begin with 69827091 relations and 70580768 unique ideals
  158. Mon Aug 24 20:44:36 2026 reduce to 69236403 relations and 64438969 ideals in 8 passes
  159. Mon Aug 24 20:44:36 2026 max relations containing the same ideal: 88
  160. Mon Aug 24 20:45:14 2026 removing 7638826 relations and 5638826 ideals in 2000000 cliques
  161. Mon Aug 24 20:45:16 2026 commencing in-memory singleton removal
  162. Mon Aug 24 20:45:17 2026 begin with 61597577 relations and 64438969 unique ideals
  163. Mon Aug 24 20:45:20 2026 reduce to 60915946 relations and 58101871 ideals in 7 passes
  164. Mon Aug 24 20:45:20 2026 max relations containing the same ideal: 79
  165. Mon Aug 24 20:46:10 2026 removing 5225446 relations and 4018432 ideals in 1207014 cliques
  166. Mon Aug 24 20:46:17 2026 commencing in-memory singleton removal
  167. Mon Aug 24 20:46:21 2026 begin with 55690500 relations and 58101871 unique ideals
  168. Mon Aug 24 20:46:26 2026 reduce to 55347817 relations and 53734850 ideals in 7 passes
  169. Mon Aug 24 20:46:26 2026 max relations containing the same ideal: 75
  170. Mon Aug 24 20:48:34 2026 trying target density 100
  171. Mon Aug 24 20:48:38 2026 relations with 0 large ideals: 5280
  172. Mon Aug 24 20:48:38 2026 relations with 1 large ideals: 24151
  173. Mon Aug 24 20:48:38 2026 relations with 2 large ideals: 349945
  174. Mon Aug 24 20:48:38 2026 relations with 3 large ideals: 2098292
  175. Mon Aug 24 20:48:38 2026 relations with 4 large ideals: 6764582
  176. Mon Aug 24 20:48:38 2026 relations with 5 large ideals: 12890956
  177. Mon Aug 24 20:48:38 2026 relations with 6 large ideals: 15270259
  178. Mon Aug 24 20:48:38 2026 relations with 7+ large ideals: 17944352
  179. Mon Aug 24 20:48:38 2026 commencing 2-way merge
  180. Mon Aug 24 20:51:25 2026 reduce to 34838707 relation sets and 33225740 unique ideals
  181. Mon Aug 24 20:51:25 2026 commencing full merge
  182. Mon Aug 24 21:03:01 2026 memory use: 4076.8 MB
  183. Mon Aug 24 21:03:04 2026 found 16728490 cycles, need 16521940
  184. Mon Aug 24 21:03:11 2026 weight of 16521940 cycles is about 1652407499 (100.01/cycle)
  185. Mon Aug 24 21:03:11 2026 distribution of cycle lengths:
  186. Mon Aug 24 21:03:11 2026 1 relations: 1407202
  187. Mon Aug 24 21:03:11 2026 2 relations: 1449458
  188. Mon Aug 24 21:03:11 2026 3 relations: 1496904
  189. Mon Aug 24 21:03:11 2026 4 relations: 1459399
  190. Mon Aug 24 21:03:11 2026 5 relations: 1438216
  191. Mon Aug 24 21:03:11 2026 6 relations: 1349417
  192. Mon Aug 24 21:03:11 2026 7 relations: 1283613
  193. Mon Aug 24 21:03:11 2026 8 relations: 1170330
  194. Mon Aug 24 21:03:11 2026 9 relations: 1048843
  195. Mon Aug 24 21:03:11 2026 10+ relations: 4418558
  196. Mon Aug 24 21:03:11 2026 heaviest cycle: 23 relations
  197. Mon Aug 24 21:03:15 2026 commencing cycle optimization
  198. Mon Aug 24 21:03:50 2026 start with 114942149 relations
  199. Mon Aug 24 21:06:28 2026 pruned 3985129 relations
  200. Mon Aug 24 21:06:30 2026 memory use: 3442.3 MB
  201. Mon Aug 24 21:06:30 2026 distribution of cycle lengths:
  202. Mon Aug 24 21:06:30 2026 1 relations: 1407202
  203. Mon Aug 24 21:06:30 2026 2 relations: 1485851
  204. Mon Aug 24 21:06:30 2026 3 relations: 1557488
  205. Mon Aug 24 21:06:30 2026 4 relations: 1510909
  206. Mon Aug 24 21:06:30 2026 5 relations: 1494275
  207. Mon Aug 24 21:06:30 2026 6 relations: 1397555
  208. Mon Aug 24 21:06:30 2026 7 relations: 1328341
  209. Mon Aug 24 21:06:30 2026 8 relations: 1202500
  210. Mon Aug 24 21:06:30 2026 9 relations: 1070593
  211. Mon Aug 24 21:06:30 2026 10+ relations: 4067226
  212. Mon Aug 24 21:06:30 2026 heaviest cycle: 23 relations
  213. Mon Aug 24 21:08:28 2026 trying target density 120
  214. Mon Aug 24 21:08:33 2026 relations with 0 large ideals: 5280
  215. Mon Aug 24 21:08:33 2026 relations with 1 large ideals: 24151
  216. Mon Aug 24 21:08:33 2026 relations with 2 large ideals: 349945
  217. Mon Aug 24 21:08:33 2026 relations with 3 large ideals: 2098292
  218. Mon Aug 24 21:08:33 2026 relations with 4 large ideals: 6764582
  219. Mon Aug 24 21:08:33 2026 relations with 5 large ideals: 12890956
  220. Mon Aug 24 21:08:33 2026 relations with 6 large ideals: 15270259
  221. Mon Aug 24 21:08:33 2026 relations with 7+ large ideals: 17944352
  222. Mon Aug 24 21:08:33 2026 commencing 2-way merge
  223. Mon Aug 24 21:09:00 2026 reduce to 34838707 relation sets and 33225740 unique ideals
  224. Mon Aug 24 21:09:00 2026 commencing full merge
  225. Mon Aug 24 21:20:26 2026 memory use: 4174.9 MB
  226. Mon Aug 24 21:20:29 2026 found 15712853 cycles, need 15575940
  227. Mon Aug 24 21:20:33 2026 weight of 15575940 cycles is about 1869785721 (120.04/cycle)
  228. Mon Aug 24 21:20:33 2026 distribution of cycle lengths:
  229. Mon Aug 24 21:20:33 2026 1 relations: 955124
  230. Mon Aug 24 21:20:33 2026 2 relations: 1121765
  231. Mon Aug 24 21:20:33 2026 3 relations: 1188647
  232. Mon Aug 24 21:20:33 2026 4 relations: 1169095
  233. Mon Aug 24 21:20:33 2026 5 relations: 1169879
  234. Mon Aug 24 21:20:33 2026 6 relations: 1128501
  235. Mon Aug 24 21:20:33 2026 7 relations: 1095626
  236. Mon Aug 24 21:20:33 2026 8 relations: 1037941
  237. Mon Aug 24 21:20:33 2026 9 relations: 973988
  238. Mon Aug 24 21:20:33 2026 10+ relations: 5735374
  239. Mon Aug 24 21:20:33 2026 heaviest cycle: 28 relations
  240. Mon Aug 24 21:20:36 2026 commencing cycle optimization
  241. Mon Aug 24 21:21:06 2026 start with 129635229 relations
  242. Mon Aug 24 21:25:05 2026 pruned 5379988 relations
  243. Mon Aug 24 21:25:05 2026 memory use: 3595.8 MB
  244. Mon Aug 24 21:25:05 2026 distribution of cycle lengths:
  245. Mon Aug 24 21:25:05 2026 1 relations: 955124
  246. Mon Aug 24 21:25:05 2026 2 relations: 1150913
  247. Mon Aug 24 21:25:05 2026 3 relations: 1238582
  248. Mon Aug 24 21:25:05 2026 4 relations: 1214900
  249. Mon Aug 24 21:25:05 2026 5 relations: 1222029
  250. Mon Aug 24 21:25:05 2026 6 relations: 1177321
  251. Mon Aug 24 21:25:05 2026 7 relations: 1143586
  252. Mon Aug 24 21:25:05 2026 8 relations: 1080689
  253. Mon Aug 24 21:25:05 2026 9 relations: 1011833
  254. Mon Aug 24 21:25:05 2026 10+ relations: 5380963
  255. Mon Aug 24 21:25:05 2026 heaviest cycle: 27 relations
  256. Mon Aug 24 21:25:30 2026 trying target density 140
  257. Mon Aug 24 21:25:35 2026 relations with 0 large ideals: 5280
  258. Mon Aug 24 21:25:35 2026 relations with 1 large ideals: 24151
  259. Mon Aug 24 21:25:35 2026 relations with 2 large ideals: 349945
  260. Mon Aug 24 21:25:35 2026 relations with 3 large ideals: 2098292
  261. Mon Aug 24 21:25:35 2026 relations with 4 large ideals: 6764582
  262. Mon Aug 24 21:25:35 2026 relations with 5 large ideals: 12890956
  263. Mon Aug 24 21:25:35 2026 relations with 6 large ideals: 15270259
  264. Mon Aug 24 21:25:35 2026 relations with 7+ large ideals: 17944352
  265. Mon Aug 24 21:25:35 2026 commencing 2-way merge
  266. Mon Aug 24 21:26:00 2026 reduce to 34838707 relation sets and 33225740 unique ideals
  267. Mon Aug 24 21:26:00 2026 commencing full merge
  268. Mon Aug 24 21:48:12 2026 memory use: 1547.5 MB
  269. Mon Aug 24 21:48:12 2026 found 60512 cycles, need 7728097
  270. Mon Aug 24 21:48:12 2026 too few cycles, matrix probably cannot build
  271. Mon Aug 24 21:48:12 2026 RelProcTime: 8137
  272. Mon Aug 24 21:48:12 2026
  273. Mon Aug 24 21:48:12 2026 commencing linear algebra
  274. Mon Aug 24 21:48:13 2026 using VBITS=256
  275. Mon Aug 24 21:48:13 2026 building matrices for all densities
  276. Mon Aug 24 21:48:13 2026 found 2 density files
  277. Mon Aug 24 21:48:13 2026 building matrix for density 100
  278. Mon Aug 24 21:48:16 2026 read 16521940 cycles
  279. Mon Aug 24 21:48:42 2026 cycles contain 54315089 unique relations
  280. Mon Aug 24 21:50:52 2026 read 54315089 relations
  281. Mon Aug 24 21:51:07 2026 using 20 quadratic characters above 4294917295
  282. Mon Aug 24 21:51:24 2026 building initial matrix
  283. Mon Aug 24 21:58:23 2026 memory use: 7651.0 MB
  284. Mon Aug 24 21:58:36 2026 read 16521940 cycles
  285. Mon Aug 24 21:58:38 2026 matrix is 16521760 x 16521940 (6735.4 MB) with weight 2100556549 (127.14/col)
  286. Mon Aug 24 21:58:38 2026 sparse part has weight 1567377405 (94.87/col)
  287. Mon Aug 24 22:00:34 2026 filtering completed in 2 passes
  288. Mon Aug 24 22:00:37 2026 matrix is 16518667 x 16518845 (6735.1 MB) with weight 2100411558 (127.15/col)
  289. Mon Aug 24 22:00:37 2026 sparse part has weight 1567332857 (94.88/col)
  290. Mon Aug 24 22:01:05 2026 building matrix for density 120
  291. Mon Aug 24 22:01:07 2026 read 15575940 cycles
  292. Mon Aug 24 22:01:26 2026 cycles contain 54322819 unique relations
  293. Mon Aug 24 22:02:36 2026 read 54322819 relations
  294. Mon Aug 24 22:02:51 2026 using 20 quadratic characters above 4294917295
  295. Mon Aug 24 22:03:09 2026 building initial matrix
  296. Mon Aug 24 22:11:23 2026 memory use: 7673.8 MB
  297. Mon Aug 24 22:11:29 2026 read 15575940 cycles
  298. Mon Aug 24 22:11:31 2026 matrix is 15575761 x 15575940 (7388.2 MB) with weight 2283348402 (146.59/col)
  299. Mon Aug 24 22:11:31 2026 sparse part has weight 1749851460 (112.34/col)
  300. Mon Aug 24 22:13:24 2026 filtering completed in 2 passes
  301. Mon Aug 24 22:13:28 2026 matrix is 15574524 x 15574701 (7388.0 MB) with weight 2283283601 (146.60/col)
  302. Mon Aug 24 22:13:28 2026 sparse part has weight 1749830772 (112.35/col)
  303. Mon Aug 24 22:14:06 2026 BLanczosTime: 1554
  304. Mon Aug 24 22:14:06 2026 elapsed time 02:41:32
  305. Tue Aug 25 11:01:38 2026
  306. Tue Aug 25 11:01:38 2026
  307. Tue Aug 25 11:01:38 2026 Msieve v. 1.54 (SVN unknown)
  308. Tue Aug 25 11:01:38 2026 random seeds: 0d876084 cfd2abe0
  309. Tue Aug 25 11:01:38 2026 factoring 433141372241136191207503109410580407351379842663869378508994621117909519374258942869406240925463384174141561764385165803153345635996384592398880294092364027985956422884147614833069469 (183 digits)
  310. Tue Aug 25 11:01:39 2026 no P-1/P+1/ECM available, skipping
  311. Tue Aug 25 11:01:39 2026 commencing number field sieve (183-digit input)
  312. Tue Aug 25 11:01:39 2026 R0: -220466750880400167653761793111085563
  313. Tue Aug 25 11:01:39 2026 R1: 8483413924738319734439
  314. Tue Aug 25 11:01:39 2026 A0: -15929681202760367764881259845549247676388960
  315. Tue Aug 25 11:01:39 2026 A1: 4781341221245582193676793754738428458
  316. Tue Aug 25 11:01:39 2026 A2: 30698323961195860683139013465
  317. Tue Aug 25 11:01:39 2026 A3: -14449102901976249573215
  318. Tue Aug 25 11:01:39 2026 A4: -63956976603852
  319. Tue Aug 25 11:01:39 2026 A5: 3326400
  320. Tue Aug 25 11:01:39 2026 skew 32991020.88, size 1.042e-17, alpha -8.325, combined = 7.525e-14 rroots = 5
  321. Tue Aug 25 11:01:39 2026
  322. Tue Aug 25 11:01:39 2026 commencing linear algebra
  323. Tue Aug 25 11:01:39 2026 using VBITS=256
  324. Tue Aug 25 11:01:39 2026 skipping matrix build
  325. Tue Aug 25 11:02:18 2026 matrix starts at (0, 0)
  326. Tue Aug 25 11:02:22 2026 matrix is 15574524 x 15574701 (7388.0 MB) with weight 2283283601 (146.60/col)
  327. Tue Aug 25 11:02:22 2026 sparse part has weight 1749830772 (112.35/col)
  328. Tue Aug 25 11:02:22 2026 saving the first 240 matrix rows for later
  329. Tue Aug 25 11:02:27 2026 matrix includes 256 packed rows
  330. Tue Aug 25 11:02:32 2026 matrix is 15574284 x 15574701 (6726.5 MB) with weight 1613960758 (103.63/col)
  331. Tue Aug 25 11:02:32 2026 sparse part has weight 1514114240 (97.22/col)
  332. Tue Aug 25 11:02:33 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  333. Tue Aug 25 11:02:33 2026 selected card has CUDA arch 12.0
  334. Tue Aug 25 11:02:34 2026 computed block_nnz 152907961 (L2 cache 100663296 bytes, average column weight 97.2)
  335. Tue Aug 25 11:02:34 2026 nonzeros per matrix block: 256000000
  336. Tue Aug 25 11:06:03 2026 commencing Lanczos iteration
  337. Tue Aug 25 11:06:04 2026 memory use: 16126.6 MB
  338. Tue Aug 25 11:06:17 2026 linear algebra at 0.2%, ETA 1h41m
  339. Tue Aug 25 11:06:34 2026 checking every 150000 dimensions, checkpointing every 9600000 dimensions
  340. Tue Aug 25 12:45:33 2026 lanczos halted after 61020 iterations (dim = 15574284)
  341. Tue Aug 25 12:46:45 2026 recovered 30 nontrivial dependencies
  342. Tue Aug 25 12:46:45 2026 BLanczosTime: 6306
  343. Tue Aug 25 12:46:45 2026 elapsed time 01:45:07
  344. Tue Aug 25 10:11:32 2026
  345. Tue Aug 25 10:11:32 2026
  346. Tue Aug 25 10:11:32 2026 Msieve v. 1.54 (SVN unknown)
  347. Tue Aug 25 10:11:32 2026 random seeds: 0f41577f f3cb54f1
  348. Tue Aug 25 10:11:32 2026 Using 14 OpenMP threads
  349. Tue Aug 25 10:11:32 2026 factoring 433141372241136191207503109410580407351379842663869378508994621117909519374258942869406240925463384174141561764385165803153345635996384592398880294092364027985956422884147614833069469 (183 digits)
  350. Tue Aug 25 10:11:32 2026 no P-1/P+1/ECM available, skipping
  351. Tue Aug 25 10:11:32 2026 commencing number field sieve (183-digit input)
  352. Tue Aug 25 10:11:32 2026 R0: -220466750880400167653761793111085563
  353. Tue Aug 25 10:11:32 2026 R1: 8483413924738319734439
  354. Tue Aug 25 10:11:32 2026 A0: -15929681202760367764881259845549247676388960
  355. Tue Aug 25 10:11:32 2026 A1: 4781341221245582193676793754738428458
  356. Tue Aug 25 10:11:32 2026 A2: 30698323961195860683139013465
  357. Tue Aug 25 10:11:32 2026 A3: -14449102901976249573215
  358. Tue Aug 25 10:11:32 2026 A4: -63956976603852
  359. Tue Aug 25 10:11:32 2026 A5: 3326400
  360. Tue Aug 25 10:11:32 2026 skew 32991020.88, size 1.042e-17, alpha -8.325, combined = 7.525e-14 rroots = 5
  361. Tue Aug 25 10:11:32 2026
  362. Tue Aug 25 10:11:32 2026 commencing square root phase
  363. Tue Aug 25 10:11:32 2026 reading relations for dependency 1
  364. Tue Aug 25 10:11:34 2026 read 7781317 cycles
  365. Tue Aug 25 10:11:48 2026 cycles contain 27145902 unique relations
  366. Tue Aug 25 10:15:31 2026 read 27145902 relations
  367. Tue Aug 25 10:17:18 2026 multiplying 27145902 relations
  368. Tue Aug 25 10:20:38 2026 multiply complete, coefficients have about 1646.52 million bits
  369. Tue Aug 25 10:20:41 2026 initial square root is modulo 24313997
  370. Tue Aug 25 10:27:28 2026 sqrtTime: 956
  371. Tue Aug 25 10:27:28 2026 p71 factor: 25865482846729665352934736649898913408952703818449656616929487707724497
  372. Tue Aug 25 10:27:28 2026 p113 factor: 16745922541163810591339581271167085501616084910827502355685886081304374331868413883017755090631106408213756305677
  373. Tue Aug 25 10:27:28 2026 elapsed time 00:15:56
  374.  
Tags: math
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