kyleaskine

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Aug 20th, 2026
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  1. Thu Aug 20 09:17:48 2026
  2. Thu Aug 20 09:17:48 2026
  3. Thu Aug 20 09:17:48 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu Aug 20 09:17:48 2026 random seeds: ea1cf57e c4294b49
  5. Thu Aug 20 09:17:48 2026 Using 8 OpenMP threads
  6. Thu Aug 20 09:17:48 2026 factoring 84200759289611941482395309129366042279981656947713806318435276127954834050514217083085655040854138328430955340094712580115751882259278093931287413683803047530707085495786510735849 (179 digits)
  7. Thu Aug 20 09:17:48 2026 no P-1/P+1/ECM available, skipping
  8. Thu Aug 20 09:17:48 2026 commencing number field sieve (179-digit input)
  9. Thu Aug 20 09:17:48 2026 R0: -55064837378753992682327089361157517
  10. Thu Aug 20 09:17:48 2026 R1: 11170350327933266796091
  11. Thu Aug 20 09:17:48 2026 A0: -36485677835455295075029218326454643020400
  12. Thu Aug 20 09:17:48 2026 A1: -2247130651311749760055701480505884
  13. Thu Aug 20 09:17:48 2026 A2: 1880611746350168687353973424
  14. Thu Aug 20 09:17:48 2026 A3: -186877466953327411579
  15. Thu Aug 20 09:17:48 2026 A4: -5676958583142
  16. Thu Aug 20 09:17:48 2026 A5: 1829520
  17. Thu Aug 20 09:17:48 2026 skew 1.00, size 2.270e-17, alpha -6.192, combined = 6.512e-16 rroots = 3
  18. Thu Aug 20 09:17:48 2026
  19. Thu Aug 20 09:17:48 2026 commencing relation filtering
  20. Thu Aug 20 09:17:48 2026 setting 3 target densities:Thu Aug 20 09:17:48 2026 90Thu Aug 20 09:17:48 2026 110Thu Aug 20 09:17:48 2026 130Thu Aug 20 09:17:48 2026
  21. Thu Aug 20 09:17:48 2026 estimated available RAM is 78540.1 MB
  22. Thu Aug 20 09:17:48 2026 commencing duplicate removal, pass 1
  23. Thu Aug 20 09:26:56 2026 found 66618881 hash collisions in 347027408 relations
  24. Thu Aug 20 09:27:10 2026 added 121561 free relations
  25. Thu Aug 20 09:27:10 2026 commencing duplicate removal, pass 2
  26. Thu Aug 20 09:29:39 2026 found 69922067 duplicates and 277226902 unique relations
  27. Thu Aug 20 09:29:39 2026 memory use: 1705.5 MB
  28. Thu Aug 20 09:29:40 2026 reading ideals above 150798336
  29. Thu Aug 20 09:29:40 2026 commencing singleton removal, initial pass
  30. Thu Aug 20 09:35:06 2026 memory use: 6024.0 MB
  31. Thu Aug 20 09:35:06 2026 reading all ideals from disk
  32. Thu Aug 20 09:35:08 2026 memory use: 7271.4 MB
  33. Thu Aug 20 09:35:37 2026 commencing in-memory singleton removal
  34. Thu Aug 20 09:35:39 2026 begin with 277226902 relations and 235193664 unique ideals
  35. Thu Aug 20 09:35:52 2026 reduce to 181032110 relations and 129800445 ideals in 13 passes
  36. Thu Aug 20 09:35:52 2026 max relations containing the same ideal: 32
  37. Thu Aug 20 09:35:56 2026 reading ideals above 720000
  38. Thu Aug 20 09:35:56 2026 commencing singleton removal, initial pass
  39. Thu Aug 20 09:42:38 2026 memory use: 3012.0 MB
  40. Thu Aug 20 09:42:39 2026 reading all ideals from disk
  41. Thu Aug 20 09:42:54 2026 memory use: 8768.7 MB
  42. Thu Aug 20 09:43:24 2026 keeping 145831914 ideals with weight <= 200, target excess is 938414
  43. Thu Aug 20 09:43:41 2026 commencing in-memory singleton removal
  44. Thu Aug 20 09:43:41 2026 begin with 181032110 relations and 145831914 unique ideals
  45. Thu Aug 20 09:43:52 2026 reduce to 181029795 relations and 145829599 ideals in 6 passes
  46. Thu Aug 20 09:43:52 2026 max relations containing the same ideal: 200
  47. Thu Aug 20 09:44:49 2026 removing 11389631 relations and 9389631 ideals in 2000000 cliques
  48. Thu Aug 20 09:44:53 2026 commencing in-memory singleton removal
  49. Thu Aug 20 09:44:55 2026 begin with 169640164 relations and 145829599 unique ideals
  50. Thu Aug 20 09:45:07 2026 reduce to 169097604 relations and 135889666 ideals in 8 passes
  51. Thu Aug 20 09:45:07 2026 max relations containing the same ideal: 198
  52. Thu Aug 20 09:45:45 2026 removing 8736693 relations and 6736693 ideals in 2000000 cliques
  53. Thu Aug 20 09:45:48 2026 commencing in-memory singleton removal
  54. Thu Aug 20 09:45:51 2026 begin with 160360911 relations and 135889666 unique ideals
  55. Thu Aug 20 09:46:00 2026 reduce to 159995625 relations and 128783218 ideals in 7 passes
  56. Thu Aug 20 09:46:00 2026 max relations containing the same ideal: 193
  57. Thu Aug 20 09:46:45 2026 removing 7929423 relations and 5929423 ideals in 2000000 cliques
  58. Thu Aug 20 09:46:49 2026 commencing in-memory singleton removal
  59. Thu Aug 20 09:46:51 2026 begin with 152066202 relations and 128783218 unique ideals
  60. Thu Aug 20 09:47:02 2026 reduce to 151744601 relations and 122528222 ideals in 7 passes
  61. Thu Aug 20 09:47:02 2026 max relations containing the same ideal: 189
  62. Thu Aug 20 09:47:42 2026 removing 7507242 relations and 5507242 ideals in 2000000 cliques
  63. Thu Aug 20 09:47:45 2026 commencing in-memory singleton removal
  64. Thu Aug 20 09:47:47 2026 begin with 144237359 relations and 122528222 unique ideals
  65. Thu Aug 20 09:47:57 2026 reduce to 143933209 relations and 116713057 ideals in 7 passes
  66. Thu Aug 20 09:47:57 2026 max relations containing the same ideal: 181
  67. Thu Aug 20 09:48:34 2026 removing 7246404 relations and 5246404 ideals in 2000000 cliques
  68. Thu Aug 20 09:48:37 2026 commencing in-memory singleton removal
  69. Thu Aug 20 09:48:39 2026 begin with 136686805 relations and 116713057 unique ideals
  70. Thu Aug 20 09:48:45 2026 reduce to 136391524 relations and 111167581 ideals in 7 passes
  71. Thu Aug 20 09:48:45 2026 max relations containing the same ideal: 176
  72. Thu Aug 20 09:49:19 2026 removing 7073532 relations and 5073532 ideals in 2000000 cliques
  73. Thu Aug 20 09:49:22 2026 commencing in-memory singleton removal
  74. Thu Aug 20 09:49:23 2026 begin with 129317992 relations and 111167581 unique ideals
  75. Thu Aug 20 09:49:31 2026 reduce to 129022954 relations and 105794915 ideals in 7 passes
  76. Thu Aug 20 09:49:31 2026 max relations containing the same ideal: 171
  77. Thu Aug 20 09:50:02 2026 removing 6958380 relations and 4958380 ideals in 2000000 cliques
  78. Thu Aug 20 09:50:04 2026 commencing in-memory singleton removal
  79. Thu Aug 20 09:50:06 2026 begin with 122064574 relations and 105794915 unique ideals
  80. Thu Aug 20 09:50:10 2026 reduce to 121765526 relations and 100533268 ideals in 7 passes
  81. Thu Aug 20 09:50:10 2026 max relations containing the same ideal: 162
  82. Thu Aug 20 09:50:40 2026 removing 6877261 relations and 4877261 ideals in 2000000 cliques
  83. Thu Aug 20 09:50:43 2026 commencing in-memory singleton removal
  84. Thu Aug 20 09:50:44 2026 begin with 114888265 relations and 100533268 unique ideals
  85. Thu Aug 20 09:50:50 2026 reduce to 114580703 relations and 95343886 ideals in 7 passes
  86. Thu Aug 20 09:50:50 2026 max relations containing the same ideal: 159
  87. Thu Aug 20 09:51:18 2026 removing 6831977 relations and 4831977 ideals in 2000000 cliques
  88. Thu Aug 20 09:51:20 2026 commencing in-memory singleton removal
  89. Thu Aug 20 09:51:22 2026 begin with 107748726 relations and 95343886 unique ideals
  90. Thu Aug 20 09:51:29 2026 reduce to 107428959 relations and 90187216 ideals in 7 passes
  91. Thu Aug 20 09:51:29 2026 max relations containing the same ideal: 153
  92. Thu Aug 20 09:51:56 2026 removing 6811587 relations and 4811587 ideals in 2000000 cliques
  93. Thu Aug 20 09:51:58 2026 commencing in-memory singleton removal
  94. Thu Aug 20 09:51:59 2026 begin with 100617372 relations and 90187216 unique ideals
  95. Thu Aug 20 09:52:06 2026 reduce to 100280228 relations and 85032786 ideals in 7 passes
  96. Thu Aug 20 09:52:06 2026 max relations containing the same ideal: 147
  97. Thu Aug 20 09:52:31 2026 removing 6812985 relations and 4812985 ideals in 2000000 cliques
  98. Thu Aug 20 09:52:33 2026 commencing in-memory singleton removal
  99. Thu Aug 20 09:52:34 2026 begin with 93467243 relations and 85032786 unique ideals
  100. Thu Aug 20 09:52:38 2026 reduce to 93107676 relations and 79853858 ideals in 8 passes
  101. Thu Aug 20 09:52:38 2026 max relations containing the same ideal: 136
  102. Thu Aug 20 09:53:05 2026 removing 6835030 relations and 4835030 ideals in 2000000 cliques
  103. Thu Aug 20 09:53:07 2026 commencing in-memory singleton removal
  104. Thu Aug 20 09:53:05 2026 begin with 86272646 relations and 79853858 unique ideals
  105. Thu Aug 20 09:53:11 2026 reduce to 85884320 relations and 74623149 ideals in 7 passes
  106. Thu Aug 20 09:53:11 2026 max relations containing the same ideal: 131
  107. Thu Aug 20 09:53:37 2026 removing 6877918 relations and 4877918 ideals in 2000000 cliques
  108. Thu Aug 20 09:53:37 2026 commencing in-memory singleton removal
  109. Thu Aug 20 09:53:37 2026 begin with 79006402 relations and 74623149 unique ideals
  110. Thu Aug 20 09:53:42 2026 reduce to 78580094 relations and 69310276 ideals in 7 passes
  111. Thu Aug 20 09:53:42 2026 max relations containing the same ideal: 125
  112. Thu Aug 20 09:54:05 2026 removing 6950807 relations and 4950807 ideals in 2000000 cliques
  113. Thu Aug 20 09:54:08 2026 commencing in-memory singleton removal
  114. Thu Aug 20 09:54:08 2026 begin with 71629287 relations and 69310276 unique ideals
  115. Thu Aug 20 09:54:13 2026 reduce to 71152339 relations and 63872072 ideals in 8 passes
  116. Thu Aug 20 09:54:13 2026 max relations containing the same ideal: 117
  117. Thu Aug 20 09:54:35 2026 removing 7045983 relations and 5045983 ideals in 2000000 cliques
  118. Thu Aug 20 09:54:36 2026 commencing in-memory singleton removal
  119. Thu Aug 20 09:54:37 2026 begin with 64106356 relations and 63872072 unique ideals
  120. Thu Aug 20 09:54:38 2026 reduce to 63561477 relations and 58267959 ideals in 8 passes
  121. Thu Aug 20 09:54:38 2026 max relations containing the same ideal: 109
  122. Thu Aug 20 09:54:58 2026 removing 7180612 relations and 5180612 ideals in 2000000 cliques
  123. Thu Aug 20 09:54:59 2026 commencing in-memory singleton removal
  124. Thu Aug 20 09:55:00 2026 begin with 56380865 relations and 58267959 unique ideals
  125. Thu Aug 20 09:55:03 2026 reduce to 55744232 relations and 52433968 ideals in 8 passes
  126. Thu Aug 20 09:55:03 2026 max relations containing the same ideal: 97
  127. Thu Aug 20 09:55:18 2026 removing 7355134 relations and 5355134 ideals in 2000000 cliques
  128. Thu Aug 20 09:55:20 2026 commencing in-memory singleton removal
  129. Thu Aug 20 09:55:20 2026 begin with 48389098 relations and 52433968 unique ideals
  130. Thu Aug 20 09:55:24 2026 reduce to 47614951 relations and 46281209 ideals in 10 passes
  131. Thu Aug 20 09:55:24 2026 max relations containing the same ideal: 86
  132. Thu Aug 20 09:55:37 2026 removing 1412583 relations and 1167402 ideals in 245181 cliques
  133. Thu Aug 20 09:55:38 2026 commencing in-memory singleton removal
  134. Thu Aug 20 09:55:39 2026 begin with 46202368 relations and 46281209 unique ideals
  135. Thu Aug 20 09:55:41 2026 reduce to 46173973 relations and 45085270 ideals in 6 passes
  136. Thu Aug 20 09:55:41 2026 max relations containing the same ideal: 83
  137. Thu Aug 20 09:55:55 2026 trying target density 90
  138. Thu Aug 20 09:55:59 2026 relations with 0 large ideals: 3387
  139. Thu Aug 20 09:55:59 2026 relations with 1 large ideals: 9822
  140. Thu Aug 20 09:55:59 2026 relations with 2 large ideals: 161691
  141. Thu Aug 20 09:55:59 2026 relations with 3 large ideals: 1123599
  142. Thu Aug 20 09:55:59 2026 relations with 4 large ideals: 4164186
  143. Thu Aug 20 09:55:59 2026 relations with 5 large ideals: 9178157
  144. Thu Aug 20 09:55:59 2026 relations with 6 large ideals: 12617988
  145. Thu Aug 20 09:55:59 2026 relations with 7+ large ideals: 18915143
  146. Thu Aug 20 09:55:59 2026 commencing 2-way merge
  147. Thu Aug 20 09:56:19 2026 reduce to 28872192 relation sets and 27783489 unique ideals
  148. Thu Aug 20 09:56:19 2026 commencing full merge
  149. Thu Aug 20 10:01:53 2026 memory use: 3429.6 MB
  150. Thu Aug 20 10:01:55 2026 found 14422634 cycles, need 14275689
  151. Thu Aug 20 10:01:59 2026 weight of 14275689 cycles is about 1285194100 (90.03/cycle)
  152. Thu Aug 20 10:01:59 2026 distribution of cycle lengths:
  153. Thu Aug 20 10:01:59 2026 1 relations: 1462036
  154. Thu Aug 20 10:01:59 2026 2 relations: 1369666
  155. Thu Aug 20 10:01:59 2026 3 relations: 1397422
  156. Thu Aug 20 10:01:59 2026 4 relations: 1372030
  157. Thu Aug 20 10:01:59 2026 5 relations: 1330073
  158. Thu Aug 20 10:01:59 2026 6 relations: 1272471
  159. Thu Aug 20 10:01:59 2026 7 relations: 1166693
  160. Thu Aug 20 10:01:59 2026 8 relations: 1033127
  161. Thu Aug 20 10:01:59 2026 9 relations: 887629
  162. Thu Aug 20 10:01:59 2026 10+ relations: 2984542
  163. Thu Aug 20 10:01:59 2026 heaviest cycle: 22 relations
  164. Thu Aug 20 10:02:01 2026 commencing cycle optimization
  165. Thu Aug 20 10:02:18 2026 start with 89543656 relations
  166. Thu Aug 20 10:03:54 2026 pruned 2784706 relations
  167. Thu Aug 20 10:03:56 2026 memory use: 2810.8 MB
  168. Thu Aug 20 10:03:56 2026 distribution of cycle lengths:
  169. Thu Aug 20 10:03:56 2026 1 relations: 1462036
  170. Thu Aug 20 10:03:56 2026 2 relations: 1403209
  171. Thu Aug 20 10:03:56 2026 3 relations: 1451110
  172. Thu Aug 20 10:03:56 2026 4 relations: 1415408
  173. Thu Aug 20 10:03:56 2026 5 relations: 1380061
  174. Thu Aug 20 10:03:56 2026 6 relations: 1311578
  175. Thu Aug 20 10:03:56 2026 7 relations: 1200910
  176. Thu Aug 20 10:03:56 2026 8 relations: 1051710
  177. Thu Aug 20 10:03:56 2026 9 relations: 893325
  178. Thu Aug 20 10:03:56 2026 10+ relations: 2706342
  179. Thu Aug 20 10:03:56 2026 heaviest cycle: 21 relations
  180. Thu Aug 20 10:04:13 2026 trying target density 110
  181. Thu Aug 20 10:04:16 2026 relations with 0 large ideals: 3387
  182. Thu Aug 20 10:04:16 2026 relations with 1 large ideals: 9822
  183. Thu Aug 20 10:04:16 2026 relations with 2 large ideals: 161691
  184. Thu Aug 20 10:04:16 2026 relations with 3 large ideals: 1123599
  185. Thu Aug 20 10:04:16 2026 relations with 4 large ideals: 4164186
  186. Thu Aug 20 10:04:16 2026 relations with 5 large ideals: 9178157
  187. Thu Aug 20 10:04:16 2026 relations with 6 large ideals: 12617988
  188. Thu Aug 20 10:04:16 2026 relations with 7+ large ideals: 18915143
  189. Thu Aug 20 10:04:16 2026 commencing 2-way merge
  190. Thu Aug 20 10:04:34 2026 reduce to 28872192 relation sets and 27783489 unique ideals
  191. Thu Aug 20 10:04:34 2026 commencing full merge
  192. Thu Aug 20 10:11:20 2026 memory use: 3545.5 MB
  193. Thu Aug 20 10:11:22 2026 found 13474856 cycles, need 13351689
  194. Thu Aug 20 10:11:26 2026 weight of 13351689 cycles is about 1469220492 (110.04/cycle)
  195. Thu Aug 20 10:11:26 2026 distribution of cycle lengths:
  196. Thu Aug 20 10:11:26 2026 1 relations: 1017881
  197. Thu Aug 20 10:11:26 2026 2 relations: 1033443
  198. Thu Aug 20 10:11:26 2026 3 relations: 1079389
  199. Thu Aug 20 10:11:26 2026 4 relations: 1059593
  200. Thu Aug 20 10:11:26 2026 5 relations: 1055262
  201. Thu Aug 20 10:11:26 2026 6 relations: 1040851
  202. Thu Aug 20 10:11:26 2026 7 relations: 992782
  203. Thu Aug 20 10:11:26 2026 8 relations: 936831
  204. Thu Aug 20 10:11:26 2026 9 relations: 858261
  205. Thu Aug 20 10:11:26 2026 10+ relations: 4277396
  206. Thu Aug 20 10:11:26 2026 heaviest cycle: 26 relations
  207. Thu Aug 20 10:11:25 2026 commencing cycle optimization
  208. Thu Aug 20 10:11:47 2026 start with 102051712 relations
  209. Thu Aug 20 10:14:03 2026 pruned 3962479 relations
  210. Thu Aug 20 10:14:04 2026 memory use: 2941.8 MB
  211. Thu Aug 20 10:14:04 2026 distribution of cycle lengths:
  212. Thu Aug 20 10:14:04 2026 1 relations: 1017881
  213. Thu Aug 20 10:14:04 2026 2 relations: 1060175
  214. Thu Aug 20 10:14:04 2026 3 relations: 1122806
  215. Thu Aug 20 10:14:04 2026 4 relations: 1098384
  216. Thu Aug 20 10:14:04 2026 5 relations: 1102227
  217. Thu Aug 20 10:14:04 2026 6 relations: 1082977
  218. Thu Aug 20 10:14:04 2026 7 relations: 1036098
  219. Thu Aug 20 10:14:04 2026 8 relations: 971605
  220. Thu Aug 20 10:14:04 2026 9 relations: 884854
  221. Thu Aug 20 10:14:04 2026 10+ relations: 3974682
  222. Thu Aug 20 10:14:04 2026 heaviest cycle: 25 relations
  223. Thu Aug 20 10:14:23 2026 trying target density 130
  224. Thu Aug 20 10:14:24 2026 relations with 0 large ideals: 3387
  225. Thu Aug 20 10:14:24 2026 relations with 1 large ideals: 9822
  226. Thu Aug 20 10:14:24 2026 relations with 2 large ideals: 161691
  227. Thu Aug 20 10:14:24 2026 relations with 3 large ideals: 1123599
  228. Thu Aug 20 10:14:24 2026 relations with 4 large ideals: 4164186
  229. Thu Aug 20 10:14:24 2026 relations with 5 large ideals: 9178157
  230. Thu Aug 20 10:14:24 2026 relations with 6 large ideals: 12617988
  231. Thu Aug 20 10:14:24 2026 relations with 7+ large ideals: 18915143
  232. Thu Aug 20 10:14:24 2026 commencing 2-way merge
  233. Thu Aug 20 10:14:43 2026 reduce to 28872192 relation sets and 27783489 unique ideals
  234. Thu Aug 20 10:14:43 2026 commencing full merge
  235. Thu Aug 20 10:22:52 2026 memory use: 3622.3 MB
  236. Thu Aug 20 10:22:52 2026 found 12722807 cycles, need 12679689
  237. Thu Aug 20 10:22:55 2026 weight of 12679689 cycles is about 1648873195 (130.04/cycle)
  238. Thu Aug 20 10:22:55 2026 distribution of cycle lengths:
  239. Thu Aug 20 10:22:55 2026 1 relations: 713510
  240. Thu Aug 20 10:22:55 2026 2 relations: 817292
  241. Thu Aug 20 10:22:55 2026 3 relations: 867053
  242. Thu Aug 20 10:22:55 2026 4 relations: 865958
  243. Thu Aug 20 10:22:55 2026 5 relations: 867543
  244. Thu Aug 20 10:22:55 2026 6 relations: 862372
  245. Thu Aug 20 10:22:55 2026 7 relations: 854948
  246. Thu Aug 20 10:22:55 2026 8 relations: 818474
  247. Thu Aug 20 10:22:55 2026 9 relations: 780564
  248. Thu Aug 20 10:22:55 2026 10+ relations: 5231975
  249. Thu Aug 20 10:22:55 2026 heaviest cycle: 28 relations
  250. Thu Aug 20 10:22:58 2026 commencing cycle optimization
  251. Thu Aug 20 10:23:22 2026 start with 114086065 relations
  252. Thu Aug 20 10:27:07 2026 pruned 5187196 relations
  253. Thu Aug 20 10:27:07 2026 memory use: 3065.3 MB
  254. Thu Aug 20 10:27:07 2026 distribution of cycle lengths:
  255. Thu Aug 20 10:27:07 2026 1 relations: 713510
  256. Thu Aug 20 10:27:07 2026 2 relations: 838777
  257. Thu Aug 20 10:27:07 2026 3 relations: 902915
  258. Thu Aug 20 10:27:07 2026 4 relations: 899989
  259. Thu Aug 20 10:27:07 2026 5 relations: 909637
  260. Thu Aug 20 10:27:07 2026 6 relations: 902838
  261. Thu Aug 20 10:27:07 2026 7 relations: 897759
  262. Thu Aug 20 10:27:07 2026 8 relations: 858201
  263. Thu Aug 20 10:27:07 2026 9 relations: 817619
  264. Thu Aug 20 10:27:07 2026 10+ relations: 4938444
  265. Thu Aug 20 10:27:07 2026 heaviest cycle: 28 relations
  266. Thu Aug 20 10:27:34 2026 RelProcTime: 4186
  267. Thu Aug 20 10:27:37 2026
  268. Thu Aug 20 10:27:37 2026 commencing linear algebra
  269. Thu Aug 20 10:27:37 2026 using VBITS=256
  270. Thu Aug 20 10:27:37 2026 building matrices for all densities
  271. Thu Aug 20 10:27:37 2026 found 3 density files
  272. Thu Aug 20 10:27:37 2026 building matrix for density 90
  273. Thu Aug 20 10:27:42 2026 read 14275689 cycles
  274. Thu Aug 20 10:28:03 2026 cycles contain 45549088 unique relations
  275. Thu Aug 20 10:38:53 2026 read 45549088 relations
  276. Thu Aug 20 10:39:05 2026 using 20 quadratic characters above 4294917295
  277. Thu Aug 20 10:39:22 2026 building initial matrix
  278. Thu Aug 20 10:45:08 2026 memory use: 6277.9 MB
  279. Thu Aug 20 10:45:11 2026 read 14275689 cycles
  280. Thu Aug 20 10:45:13 2026 matrix is 14275512 x 14275689 (5266.8 MB) with weight 1599810326 (112.07/col)
  281. Thu Aug 20 10:45:13 2026 sparse part has weight 1223630350 (85.71/col)
  282. Thu Aug 20 10:46:48 2026 filtering completed in 2 passes
  283. Thu Aug 20 10:46:51 2026 matrix is 14273390 x 14273567 (5266.6 MB) with weight 1599733077 (112.08/col)
  284. Thu Aug 20 10:46:51 2026 sparse part has weight 1223608967 (85.73/col)
  285. Thu Aug 20 10:47:16 2026 building matrix for density 110
  286. Thu Aug 20 10:47:18 2026 read 13351689 cycles
  287. Thu Aug 20 10:47:41 2026 cycles contain 45558825 unique relations
  288. Thu Aug 20 10:51:37 2026 read 45558825 relations
  289. Thu Aug 20 10:51:49 2026 using 20 quadratic characters above 4294917295
  290. Thu Aug 20 10:52:06 2026 building initial matrix
  291. Thu Aug 20 10:59:27 2026 memory use: 6262.1 MB
  292. Thu Aug 20 10:59:36 2026 read 13351689 cycles
  293. Thu Aug 20 10:59:38 2026 matrix is 13351511 x 13351689 (5816.7 MB) with weight 1749513658 (131.03/col)
  294. Thu Aug 20 10:59:38 2026 sparse part has weight 1377935809 (103.20/col)
  295. Thu Aug 20 11:01:18 2026 filtering completed in 2 passes
  296. Thu Aug 20 11:01:21 2026 matrix is 13350513 x 13350691 (5816.6 MB) with weight 1749471169 (131.04/col)
  297. Thu Aug 20 11:01:21 2026 sparse part has weight 1377922097 (103.21/col)
  298. Thu Aug 20 11:01:56 2026 building matrix for density 130
  299. Thu Aug 20 11:01:56 2026 read 12679689 cycles
  300. Thu Aug 20 11:02:14 2026 cycles contain 45556586 unique relations
  301. Thu Aug 20 11:03:19 2026 read 45556586 relations
  302. Thu Aug 20 11:03:34 2026 using 20 quadratic characters above 4294917295
  303. Thu Aug 20 11:03:52 2026 building initial matrix
  304. Thu Aug 20 11:11:44 2026 memory use: 6282.6 MB
  305. Thu Aug 20 11:11:52 2026 read 12679689 cycles
  306. Thu Aug 20 11:11:53 2026 matrix is 12679512 x 12679689 (6354.3 MB) with weight 1894957660 (149.45/col)
  307. Thu Aug 20 11:11:53 2026 sparse part has weight 1526272248 (120.37/col)
  308. Thu Aug 20 11:13:43 2026 filtering completed in 2 passes
  309. Thu Aug 20 11:13:46 2026 matrix is 12679275 x 12679452 (6354.3 MB) with weight 1894947396 (149.45/col)
  310. Thu Aug 20 11:13:46 2026 sparse part has weight 1526269391 (120.37/col)
  311. Thu Aug 20 11:14:16 2026 BLanczosTime: 2799
  312. Thu Aug 20 11:14:16 2026 elapsed time 01:56:28
  313. Thu Aug 20 18:53:32 2026
  314. Thu Aug 20 18:53:32 2026
  315. Thu Aug 20 18:53:32 2026 Msieve v. 1.54 (SVN unknown)
  316. Thu Aug 20 18:53:32 2026 random seeds: be2ff34d e4e553c4
  317. Thu Aug 20 18:53:32 2026 factoring 84200759289611941482395309129366042279981656947713806318435276127954834050514217083085655040854138328430955340094712580115751882259278093931287413683803047530707085495786510735849 (179 digits)
  318. Thu Aug 20 18:53:32 2026 no P-1/P+1/ECM available, skipping
  319. Thu Aug 20 18:53:32 2026 commencing number field sieve (179-digit input)
  320. Thu Aug 20 18:53:32 2026 R0: -55064837378753992682327089361157517
  321. Thu Aug 20 18:53:32 2026 R1: 11170350327933266796091
  322. Thu Aug 20 18:53:32 2026 A0: -36485677835455295075029218326454643020400
  323. Thu Aug 20 18:53:32 2026 A1: -2247130651311749760055701480505884
  324. Thu Aug 20 18:53:32 2026 A2: 1880611746350168687353973424
  325. Thu Aug 20 18:53:32 2026 A3: -186877466953327411579
  326. Thu Aug 20 18:53:32 2026 A4: -5676958583142
  327. Thu Aug 20 18:53:32 2026 A5: 1829520
  328. Thu Aug 20 18:53:32 2026 skew 1.00, size 2.270e-17, alpha -6.192, combined = 6.512e-16 rroots = 3
  329. Thu Aug 20 18:53:32 2026
  330. Thu Aug 20 18:53:32 2026 commencing linear algebra
  331. Thu Aug 20 18:53:32 2026 using VBITS=256
  332. Thu Aug 20 18:53:32 2026 skipping matrix build
  333. Thu Aug 20 18:53:40 2026 matrix starts at (0, 0)
  334. Thu Aug 20 18:53:43 2026 matrix is 12679275 x 12679452 (6354.3 MB) with weight 1894947396 (149.45/col)
  335. Thu Aug 20 18:53:43 2026 sparse part has weight 1526269391 (120.37/col)
  336. Thu Aug 20 18:53:43 2026 saving the first 240 matrix rows for later
  337. Thu Aug 20 18:53:47 2026 matrix includes 256 packed rows
  338. Thu Aug 20 18:53:52 2026 matrix is 12679035 x 12679452 (5781.0 MB) with weight 1394022592 (109.94/col)
  339. Thu Aug 20 18:53:52 2026 sparse part has weight 1312594586 (103.52/col)
  340. Thu Aug 20 18:53:52 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  341. Thu Aug 20 18:53:52 2026 selected card has CUDA arch 12.0
  342. Thu Aug 20 18:53:53 2026 computed block_nnz 162825078 (L2 cache 100663296 bytes, average column weight 103.5)
  343. Thu Aug 20 18:53:53 2026 nonzeros per matrix block: 256000000
  344. Thu Aug 20 18:56:54 2026 commencing Lanczos iteration
  345. Thu Aug 20 18:56:55 2026 memory use: 13690.3 MB
  346. Thu Aug 20 18:57:04 2026 linear algebra at 0.2%, ETA 1h 1m
  347. Thu Aug 20 18:57:18 2026 checking every 200000 dimensions, checkpointing every 12200000 dimensions
  348. Thu Aug 20 20:00:40 2026 lanczos halted after 49677 iterations (dim = 12679033)
  349. Thu Aug 20 20:02:18 2026 recovered 28 nontrivial dependencies
  350. Thu Aug 20 20:02:18 2026 BLanczosTime: 4126
  351. Thu Aug 20 20:02:18 2026 elapsed time 01:08:46
  352. Thu Aug 20 16:11:07 2026
  353. Thu Aug 20 16:11:07 2026
  354. Thu Aug 20 16:11:07 2026 Msieve v. 1.54 (SVN unknown)
  355. Thu Aug 20 16:11:07 2026 random seeds: 5fdc6253 9d20170f
  356. Thu Aug 20 16:11:07 2026 Using 14 OpenMP threads
  357. Thu Aug 20 16:11:07 2026 factoring 84200759289611941482395309129366042279981656947713806318435276127954834050514217083085655040854138328430955340094712580115751882259278093931287413683803047530707085495786510735849 (179 digits)
  358. Thu Aug 20 16:11:07 2026 no P-1/P+1/ECM available, skipping
  359. Thu Aug 20 16:11:07 2026 commencing number field sieve (179-digit input)
  360. Thu Aug 20 16:11:07 2026 R0: -55064837378753992682327089361157517
  361. Thu Aug 20 16:11:07 2026 R1: 11170350327933266796091
  362. Thu Aug 20 16:11:07 2026 A0: -36485677835455295075029218326454643020400
  363. Thu Aug 20 16:11:07 2026 A1: -2247130651311749760055701480505884
  364. Thu Aug 20 16:11:07 2026 A2: 1880611746350168687353973424
  365. Thu Aug 20 16:11:07 2026 A3: -186877466953327411579
  366. Thu Aug 20 16:11:07 2026 A4: -5676958583142
  367. Thu Aug 20 16:11:07 2026 A5: 1829520
  368. Thu Aug 20 16:11:07 2026 skew 1.00, size 2.270e-17, alpha -6.192, combined = 6.512e-16 rroots = 3
  369. Thu Aug 20 16:11:07 2026
  370. Thu Aug 20 16:11:07 2026 commencing square root phase
  371. Thu Aug 20 16:11:07 2026 reading relations for dependency 1
  372. Thu Aug 20 16:11:10 2026 read 6340307 cycles
  373. Thu Aug 20 16:11:23 2026 cycles contain 22772732 unique relations
  374. Thu Aug 20 16:17:16 2026 read 22772732 relations
  375. Thu Aug 20 16:18:14 2026 multiplying 22772732 relations
  376. Thu Aug 20 16:20:12 2026 multiply complete, coefficients have about 1328.21 million bits
  377. Thu Aug 20 16:20:15 2026 initial square root is modulo 907793
  378. Thu Aug 20 16:24:07 2026 GCD is 1, no factor found
  379. Thu Aug 20 16:24:07 2026 reading relations for dependency 2
  380. Thu Aug 20 16:24:08 2026 read 6344207 cycles
  381. Thu Aug 20 16:24:16 2026 cycles contain 22790984 unique relations
  382. Thu Aug 20 16:27:20 2026 read 22790984 relations
  383. Thu Aug 20 16:28:18 2026 multiplying 22790984 relations
  384. Thu Aug 20 16:30:16 2026 multiply complete, coefficients have about 1329.27 million bits
  385. Thu Aug 20 16:30:18 2026 initial square root is modulo 917789
  386. Thu Aug 20 16:34:08 2026 sqrtTime: 1381
  387. Thu Aug 20 16:34:08 2026 p85 factor: 1013721088186167617483398665641634205702454620831252530009507637380916150802717270939
  388. Thu Aug 20 16:34:08 2026 p95 factor: 83061071009453696781481889262011727531494244357386000194827944607298594235304777979465938303691
  389. Thu Aug 20 16:34:08 2026 elapsed time 00:23:01
  390.  
Tags: math
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