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kyleaskine
Apr 20th, 2026
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  1. Mon Apr 20 10:23:03 2026
  2. Mon Apr 20 10:23:03 2026
  3. Mon Apr 20 10:23:03 2026 Msieve v. 1.54 (SVN unknown)
  4. Mon Apr 20 10:23:03 2026 random seeds: c1b8db15 841790b8
  5. Mon Apr 20 10:23:03 2026 Using 8 OpenMP threads
  6. Mon Apr 20 10:23:03 2026 factoring 36521658093164352521021703605240699463043599835655450631389771726565255994710102986240393439888369058977099497193807895767992131703042771657084416666749700359305098290142969 (173 digits)
  7. Mon Apr 20 10:23:03 2026 no P-1/P+1/ECM available, skipping
  8. Mon Apr 20 10:23:03 2026 commencing number field sieve (173-digit input)
  9. Mon Apr 20 10:23:03 2026 R0: -4139972960671305405256097986926370
  10. Mon Apr 20 10:23:03 2026 R1: 1276890620585992423961
  11. Mon Apr 20 10:23:03 2026 A0: 1957176498954152866136627796173579749659
  12. Mon Apr 20 10:23:03 2026 A1: 3005771244506000094825959206972093
  13. Mon Apr 20 10:23:03 2026 A2: -73335868116273142024683513
  14. Mon Apr 20 10:23:03 2026 A3: -163721724791164076882
  15. Mon Apr 20 10:23:03 2026 A4: 1710863874763
  16. Mon Apr 20 10:23:03 2026 A5: 30030
  17. Mon Apr 20 10:23:03 2026 skew 1.00, size 1.196e-16, alpha -6.541, combined = 1.853e-15 rroots = 5
  18. Mon Apr 20 10:23:03 2026
  19. Mon Apr 20 10:23:03 2026 commencing relation filtering
  20. Mon Apr 20 10:23:03 2026 setting 3 target densities:Mon Apr 20 10:23:03 2026 80Mon Apr 20 10:23:03 2026 100Mon Apr 20 10:23:03 2026 120Mon Apr 20 10:23:03 2026
  21. Mon Apr 20 10:23:03 2026 estimated available RAM is 78540.1 MB
  22. Mon Apr 20 10:23:03 2026 commencing duplicate removal, pass 1
  23. Mon Apr 20 10:23:24 2026 error -1 reading relation 12416243
  24. Mon Apr 20 10:23:42 2026 error -1 reading relation 22171622
  25. Mon Apr 20 10:23:49 2026 error -1 reading relation 25749316
  26. Mon Apr 20 10:24:56 2026 error -11 reading relation 64819479
  27. Mon Apr 20 10:25:05 2026 error -1 reading relation 71347259
  28. Mon Apr 20 10:25:05 2026 error -1 reading relation 71414104
  29. Mon Apr 20 10:25:58 2026 error -1 reading relation 101550476
  30. Mon Apr 20 10:26:39 2026 error -1 reading relation 126177489
  31. Mon Apr 20 10:26:42 2026 error -1 reading relation 128106585
  32. Mon Apr 20 10:27:07 2026 error -1 reading relation 141385693
  33. Mon Apr 20 10:27:27 2026 error -1 reading relation 157680163
  34. Mon Apr 20 10:27:35 2026 error -1 reading relation 166321147
  35. Mon Apr 20 10:27:37 2026 error -1 reading relation 167858007
  36. Mon Apr 20 10:27:43 2026 error -1 reading relation 174978783
  37. Mon Apr 20 10:27:46 2026 error -1 reading relation 178334828
  38. Mon Apr 20 10:27:48 2026 error -1 reading relation 180028939
  39. Mon Apr 20 10:28:03 2026 error -1 reading relation 195120824
  40. Mon Apr 20 10:28:03 2026 error -1 reading relation 195343537
  41. Mon Apr 20 10:28:03 2026 error -1 reading relation 196053290
  42. Mon Apr 20 10:28:04 2026 error -1 reading relation 197023089
  43. Mon Apr 20 10:28:07 2026 error -1 reading relation 199525225
  44. Mon Apr 20 10:28:16 2026 error -1 reading relation 209987732
  45. Mon Apr 20 10:28:19 2026 error -1 reading relation 213043859
  46. Mon Apr 20 10:28:20 2026 error -1 reading relation 213946552
  47. Mon Apr 20 10:28:32 2026 error -1 reading relation 226395026
  48. Mon Apr 20 10:28:39 2026 error -1 reading relation 232905120
  49. Mon Apr 20 10:28:43 2026 error -15 reading relation 237568105
  50. Mon Apr 20 10:28:45 2026 error -1 reading relation 240180599
  51. Mon Apr 20 10:28:47 2026 error -1 reading relation 241768052
  52. Mon Apr 20 10:28:51 2026 error -5 reading relation 245527126
  53. Mon Apr 20 10:28:51 2026 error -1 reading relation 246033962
  54. Mon Apr 20 10:29:01 2026 error -1 reading relation 255707042
  55. Mon Apr 20 10:29:03 2026 error -1 reading relation 257830235
  56. Mon Apr 20 10:29:04 2026 error -1 reading relation 258751276
  57. Mon Apr 20 10:29:07 2026 error -1 reading relation 262437635
  58. Mon Apr 20 10:29:14 2026 error -1 reading relation 270629096
  59. Mon Apr 20 10:29:14 2026 error -1 reading relation 270629337
  60. Mon Apr 20 10:29:14 2026 error -1 reading relation 271100309
  61. Mon Apr 20 10:29:15 2026 error -1 reading relation 272402199
  62. Mon Apr 20 10:29:17 2026 error -1 reading relation 274482215
  63. Mon Apr 20 10:29:27 2026 error -1 reading relation 283011801
  64. Mon Apr 20 10:29:40 2026 skipped 367 malformed relations
  65. Mon Apr 20 10:29:40 2026 found 63410609 hash collisions in 290561561 relations
  66. Mon Apr 20 10:29:54 2026 added 122383 free relations
  67. Mon Apr 20 10:29:54 2026 commencing duplicate removal, pass 2
  68. Mon Apr 20 10:31:58 2026 found 70451945 duplicates and 220231999 unique relations
  69. Mon Apr 20 10:31:58 2026 memory use: 1705.5 MB
  70. Mon Apr 20 10:31:58 2026 reading ideals above 720000
  71. Mon Apr 20 10:31:58 2026 commencing singleton removal, initial pass
  72. Mon Apr 20 10:47:23 2026 memory use: 5512.0 MB
  73. Mon Apr 20 10:47:24 2026 reading all ideals from disk
  74. Mon Apr 20 10:47:29 2026 memory use: 10317.2 MB
  75. Mon Apr 20 10:47:45 2026 keeping 200325474 ideals with weight <= 200, target excess is 1105332
  76. Mon Apr 20 10:48:02 2026 commencing in-memory singleton removal
  77. Mon Apr 20 10:48:05 2026 begin with 220231999 relations and 200325474 unique ideals
  78. Mon Apr 20 10:48:32 2026 reduce to 139964232 relations and 112352886 ideals in 14 passes
  79. Mon Apr 20 10:48:32 2026 max relations containing the same ideal: 157
  80. Mon Apr 20 10:49:20 2026 removing 10688315 relations and 8688315 ideals in 2000000 cliques
  81. Mon Apr 20 10:49:24 2026 commencing in-memory singleton removal
  82. Mon Apr 20 10:49:26 2026 begin with 129275917 relations and 112352886 unique ideals
  83. Mon Apr 20 10:49:39 2026 reduce to 128632943 relations and 103009856 ideals in 9 passes
  84. Mon Apr 20 10:49:39 2026 max relations containing the same ideal: 149
  85. Mon Apr 20 10:50:17 2026 removing 8258468 relations and 6258468 ideals in 2000000 cliques
  86. Mon Apr 20 10:50:20 2026 commencing in-memory singleton removal
  87. Mon Apr 20 10:50:22 2026 begin with 120374475 relations and 103009856 unique ideals
  88. Mon Apr 20 10:50:34 2026 reduce to 119937038 relations and 96306807 ideals in 8 passes
  89. Mon Apr 20 10:50:34 2026 max relations containing the same ideal: 144
  90. Mon Apr 20 10:51:09 2026 removing 7541812 relations and 5541812 ideals in 2000000 cliques
  91. Mon Apr 20 10:51:10 2026 commencing in-memory singleton removal
  92. Mon Apr 20 10:51:12 2026 begin with 112395226 relations and 96306807 unique ideals
  93. Mon Apr 20 10:51:22 2026 reduce to 112005376 relations and 90368821 ideals in 7 passes
  94. Mon Apr 20 10:51:22 2026 max relations containing the same ideal: 139
  95. Mon Apr 20 10:51:54 2026 removing 7177647 relations and 5177647 ideals in 2000000 cliques
  96. Mon Apr 20 10:51:57 2026 commencing in-memory singleton removal
  97. Mon Apr 20 10:51:58 2026 begin with 104827729 relations and 90368821 unique ideals
  98. Mon Apr 20 10:52:06 2026 reduce to 104452682 relations and 84809778 ideals in 6 passes
  99. Mon Apr 20 10:52:06 2026 max relations containing the same ideal: 132
  100. Mon Apr 20 10:52:37 2026 removing 6964810 relations and 4964810 ideals in 2000000 cliques
  101. Mon Apr 20 10:52:39 2026 commencing in-memory singleton removal
  102. Mon Apr 20 10:52:40 2026 begin with 97487872 relations and 84809778 unique ideals
  103. Mon Apr 20 10:52:50 2026 reduce to 97116391 relations and 79466952 ideals in 8 passes
  104. Mon Apr 20 10:52:50 2026 max relations containing the same ideal: 126
  105. Mon Apr 20 10:53:21 2026 removing 6829935 relations and 4829935 ideals in 2000000 cliques
  106. Mon Apr 20 10:53:23 2026 commencing in-memory singleton removal
  107. Mon Apr 20 10:53:25 2026 begin with 90286456 relations and 79466952 unique ideals
  108. Mon Apr 20 10:53:34 2026 reduce to 89910078 relations and 74253515 ideals in 8 passes
  109. Mon Apr 20 10:53:34 2026 max relations containing the same ideal: 118
  110. Mon Apr 20 10:54:06 2026 removing 6741465 relations and 4741465 ideals in 2000000 cliques
  111. Mon Apr 20 10:54:08 2026 commencing in-memory singleton removal
  112. Mon Apr 20 10:54:10 2026 begin with 83168613 relations and 74253515 unique ideals
  113. Mon Apr 20 10:54:17 2026 reduce to 82776449 relations and 69111901 ideals in 7 passes
  114. Mon Apr 20 10:54:17 2026 max relations containing the same ideal: 114
  115. Mon Apr 20 10:54:43 2026 removing 6695737 relations and 4695737 ideals in 2000000 cliques
  116. Mon Apr 20 10:54:45 2026 commencing in-memory singleton removal
  117. Mon Apr 20 10:54:46 2026 begin with 76080712 relations and 69111901 unique ideals
  118. Mon Apr 20 10:54:53 2026 reduce to 75668470 relations and 63995072 ideals in 7 passes
  119. Mon Apr 20 10:54:53 2026 max relations containing the same ideal: 106
  120. Mon Apr 20 10:55:17 2026 removing 6674650 relations and 4674650 ideals in 2000000 cliques
  121. Mon Apr 20 10:55:19 2026 commencing in-memory singleton removal
  122. Mon Apr 20 10:55:20 2026 begin with 68993820 relations and 63995072 unique ideals
  123. Mon Apr 20 10:55:25 2026 reduce to 68550957 relations and 58867260 ideals in 7 passes
  124. Mon Apr 20 10:55:25 2026 max relations containing the same ideal: 101
  125. Mon Apr 20 10:55:48 2026 removing 6684576 relations and 4684576 ideals in 2000000 cliques
  126. Mon Apr 20 10:55:50 2026 commencing in-memory singleton removal
  127. Mon Apr 20 10:55:51 2026 begin with 61866381 relations and 58867260 unique ideals
  128. Mon Apr 20 10:55:57 2026 reduce to 61382621 relations and 53686491 ideals in 9 passes
  129. Mon Apr 20 10:55:57 2026 max relations containing the same ideal: 90
  130. Mon Apr 20 10:56:18 2026 removing 6714704 relations and 4714704 ideals in 2000000 cliques
  131. Mon Apr 20 10:56:19 2026 commencing in-memory singleton removal
  132. Mon Apr 20 10:56:20 2026 begin with 54667917 relations and 53686491 unique ideals
  133. Mon Apr 20 10:56:24 2026 reduce to 54128575 relations and 48417592 ideals in 7 passes
  134. Mon Apr 20 10:56:24 2026 max relations containing the same ideal: 85
  135. Mon Apr 20 10:56:42 2026 removing 6759284 relations and 4759284 ideals in 2000000 cliques
  136. Mon Apr 20 10:56:44 2026 commencing in-memory singleton removal
  137. Mon Apr 20 10:56:45 2026 begin with 47369291 relations and 48417592 unique ideals
  138. Mon Apr 20 10:56:49 2026 reduce to 46751366 relations and 43021045 ideals in 8 passes
  139. Mon Apr 20 10:56:49 2026 max relations containing the same ideal: 77
  140. Mon Apr 20 10:57:05 2026 removing 6838417 relations and 4838417 ideals in 2000000 cliques
  141. Mon Apr 20 10:57:07 2026 commencing in-memory singleton removal
  142. Mon Apr 20 10:57:07 2026 begin with 39912949 relations and 43021045 unique ideals
  143. Mon Apr 20 10:57:10 2026 reduce to 39178516 relations and 37421417 ideals in 9 passes
  144. Mon Apr 20 10:57:10 2026 max relations containing the same ideal: 68
  145. Mon Apr 20 10:57:24 2026 removing 2222035 relations and 1747122 ideals in 474913 cliques
  146. Mon Apr 20 10:57:25 2026 commencing in-memory singleton removal
  147. Mon Apr 20 10:57:26 2026 begin with 36956481 relations and 37421417 unique ideals
  148. Mon Apr 20 10:57:29 2026 reduce to 36871081 relations and 35588025 ideals in 7 passes
  149. Mon Apr 20 10:57:29 2026 max relations containing the same ideal: 64
  150. Mon Apr 20 10:57:42 2026 trying target density 80
  151. Mon Apr 20 10:57:45 2026 relations with 0 large ideals: 4277
  152. Mon Apr 20 10:57:45 2026 relations with 1 large ideals: 31630
  153. Mon Apr 20 10:57:45 2026 relations with 2 large ideals: 410430
  154. Mon Apr 20 10:57:45 2026 relations with 3 large ideals: 2144617
  155. Mon Apr 20 10:57:45 2026 relations with 4 large ideals: 5937193
  156. Mon Apr 20 10:57:45 2026 relations with 5 large ideals: 9690947
  157. Mon Apr 20 10:57:45 2026 relations with 6 large ideals: 9770573
  158. Mon Apr 20 10:57:45 2026 relations with 7+ large ideals: 8881414
  159. Mon Apr 20 10:57:45 2026 commencing 2-way merge
  160. Mon Apr 20 10:58:05 2026 reduce to 23732724 relation sets and 22449668 unique ideals
  161. Mon Apr 20 10:58:05 2026 commencing full merge
  162. Mon Apr 20 11:02:47 2026 memory use: 2603.8 MB
  163. Mon Apr 20 11:02:51 2026 found 12254423 cycles, need 12077868
  164. Mon Apr 20 11:02:54 2026 weight of 12077868 cycles is about 966389335 (80.01/cycle)
  165. Mon Apr 20 11:02:54 2026 distribution of cycle lengths:
  166. Mon Apr 20 11:02:54 2026 1 relations: 1085707
  167. Mon Apr 20 11:02:54 2026 2 relations: 1266033
  168. Mon Apr 20 11:02:54 2026 3 relations: 1361050
  169. Mon Apr 20 11:02:54 2026 4 relations: 1326448
  170. Mon Apr 20 11:02:54 2026 5 relations: 1281144
  171. Mon Apr 20 11:02:54 2026 6 relations: 1173679
  172. Mon Apr 20 11:02:54 2026 7 relations: 1044034
  173. Mon Apr 20 11:02:54 2026 8 relations: 894868
  174. Mon Apr 20 11:02:54 2026 9 relations: 735548
  175. Mon Apr 20 11:02:54 2026 10+ relations: 1909357
  176. Mon Apr 20 11:02:54 2026 heaviest cycle: 19 relations
  177. Mon Apr 20 11:02:56 2026 commencing cycle optimization
  178. Mon Apr 20 11:03:13 2026 start with 69973167 relations
  179. Mon Apr 20 11:04:32 2026 pruned 2018205 relations
  180. Mon Apr 20 11:04:33 2026 memory use: 2238.5 MB
  181. Mon Apr 20 11:04:33 2026 distribution of cycle lengths:
  182. Mon Apr 20 11:04:33 2026 1 relations: 1085707
  183. Mon Apr 20 11:04:33 2026 2 relations: 1296722
  184. Mon Apr 20 11:04:33 2026 3 relations: 1415748
  185. Mon Apr 20 11:04:33 2026 4 relations: 1368607
  186. Mon Apr 20 11:04:33 2026 5 relations: 1327125
  187. Mon Apr 20 11:04:33 2026 6 relations: 1203906
  188. Mon Apr 20 11:04:33 2026 7 relations: 1067861
  189. Mon Apr 20 11:04:33 2026 8 relations: 900627
  190. Mon Apr 20 11:04:33 2026 9 relations: 728168
  191. Mon Apr 20 11:04:33 2026 10+ relations: 1683397
  192. Mon Apr 20 11:04:33 2026 heaviest cycle: 18 relations
  193. Mon Apr 20 11:04:52 2026 trying target density 100
  194. Mon Apr 20 11:04:55 2026 relations with 0 large ideals: 4277
  195. Mon Apr 20 11:04:55 2026 relations with 1 large ideals: 31630
  196. Mon Apr 20 11:04:55 2026 relations with 2 large ideals: 410430
  197. Mon Apr 20 11:04:55 2026 relations with 3 large ideals: 2144617
  198. Mon Apr 20 11:04:55 2026 relations with 4 large ideals: 5937193
  199. Mon Apr 20 11:04:55 2026 relations with 5 large ideals: 9690947
  200. Mon Apr 20 11:04:55 2026 relations with 6 large ideals: 9770573
  201. Mon Apr 20 11:04:55 2026 relations with 7+ large ideals: 8881414
  202. Mon Apr 20 11:04:55 2026 commencing 2-way merge
  203. Mon Apr 20 11:05:10 2026 reduce to 23732724 relation sets and 22449668 unique ideals
  204. Mon Apr 20 11:05:10 2026 commencing full merge
  205. Mon Apr 20 11:10:58 2026 memory use: 2683.1 MB
  206. Mon Apr 20 11:11:01 2026 found 11350319 cycles, need 11183868
  207. Mon Apr 20 11:11:04 2026 weight of 11183868 cycles is about 1118489345 (100.01/cycle)
  208. Mon Apr 20 11:11:04 2026 distribution of cycle lengths:
  209. Mon Apr 20 11:11:04 2026 1 relations: 668951
  210. Mon Apr 20 11:11:04 2026 2 relations: 888555
  211. Mon Apr 20 11:11:04 2026 3 relations: 995818
  212. Mon Apr 20 11:11:04 2026 4 relations: 1002498
  213. Mon Apr 20 11:11:04 2026 5 relations: 998448
  214. Mon Apr 20 11:11:04 2026 6 relations: 959821
  215. Mon Apr 20 11:11:04 2026 7 relations: 914519
  216. Mon Apr 20 11:11:04 2026 8 relations: 841357
  217. Mon Apr 20 11:11:04 2026 9 relations: 755385
  218. Mon Apr 20 11:11:04 2026 10+ relations: 3158516
  219. Mon Apr 20 11:11:04 2026 heaviest cycle: 23 relations
  220. Mon Apr 20 11:11:06 2026 commencing cycle optimization
  221. Mon Apr 20 11:11:27 2026 start with 80784581 relations
  222. Mon Apr 20 11:13:32 2026 pruned 2987688 relations
  223. Mon Apr 20 11:13:33 2026 memory use: 2352.3 MB
  224. Mon Apr 20 11:13:33 2026 distribution of cycle lengths:
  225. Mon Apr 20 11:13:33 2026 1 relations: 668951
  226. Mon Apr 20 11:13:33 2026 2 relations: 912008
  227. Mon Apr 20 11:13:33 2026 3 relations: 1039475
  228. Mon Apr 20 11:13:33 2026 4 relations: 1040868
  229. Mon Apr 20 11:13:33 2026 5 relations: 1043358
  230. Mon Apr 20 11:13:33 2026 6 relations: 998644
  231. Mon Apr 20 11:13:33 2026 7 relations: 951149
  232. Mon Apr 20 11:13:33 2026 8 relations: 867244
  233. Mon Apr 20 11:13:33 2026 9 relations: 773618
  234. Mon Apr 20 11:13:33 2026 10+ relations: 2888553
  235. Mon Apr 20 11:13:33 2026 heaviest cycle: 23 relations
  236. Mon Apr 20 11:13:51 2026 trying target density 120
  237. Mon Apr 20 11:13:54 2026 relations with 0 large ideals: 4277
  238. Mon Apr 20 11:13:54 2026 relations with 1 large ideals: 31630
  239. Mon Apr 20 11:13:54 2026 relations with 2 large ideals: 410430
  240. Mon Apr 20 11:13:54 2026 relations with 3 large ideals: 2144617
  241. Mon Apr 20 11:13:54 2026 relations with 4 large ideals: 5937193
  242. Mon Apr 20 11:13:54 2026 relations with 5 large ideals: 9690947
  243. Mon Apr 20 11:13:54 2026 relations with 6 large ideals: 9770573
  244. Mon Apr 20 11:13:54 2026 relations with 7+ large ideals: 8881414
  245. Mon Apr 20 11:13:54 2026 commencing 2-way merge
  246. Mon Apr 20 11:14:09 2026 reduce to 23732724 relation sets and 22449668 unique ideals
  247. Mon Apr 20 11:14:09 2026 commencing full merge
  248. Mon Apr 20 11:21:02 2026 memory use: 2742.0 MB
  249. Mon Apr 20 11:21:06 2026 found 10675683 cycles, need 10553868
  250. Mon Apr 20 11:21:07 2026 weight of 10553868 cycles is about 1266670970 (120.02/cycle)
  251. Mon Apr 20 11:21:07 2026 distribution of cycle lengths:
  252. Mon Apr 20 11:21:07 2026 1 relations: 439019
  253. Mon Apr 20 11:21:07 2026 2 relations: 658160
  254. Mon Apr 20 11:21:07 2026 3 relations: 763853
  255. Mon Apr 20 11:21:07 2026 4 relations: 783630
  256. Mon Apr 20 11:21:07 2026 5 relations: 802154
  257. Mon Apr 20 11:21:07 2026 6 relations: 787114
  258. Mon Apr 20 11:21:07 2026 7 relations: 777343
  259. Mon Apr 20 11:21:07 2026 8 relations: 736604
  260. Mon Apr 20 11:21:07 2026 9 relations: 697686
  261. Mon Apr 20 11:21:07 2026 10+ relations: 4108305
  262. Mon Apr 20 11:21:07 2026 heaviest cycle: 27 relations
  263. Mon Apr 20 11:21:09 2026 commencing cycle optimization
  264. Mon Apr 20 11:21:29 2026 start with 91111428 relations
  265. Mon Apr 20 11:24:15 2026 pruned 4014870 relations
  266. Mon Apr 20 11:24:15 2026 memory use: 2456.4 MB
  267. Mon Apr 20 11:24:15 2026 distribution of cycle lengths:
  268. Mon Apr 20 11:24:15 2026 1 relations: 439019
  269. Mon Apr 20 11:24:15 2026 2 relations: 676536
  270. Mon Apr 20 11:24:15 2026 3 relations: 798600
  271. Mon Apr 20 11:24:15 2026 4 relations: 817258
  272. Mon Apr 20 11:24:15 2026 5 relations: 842332
  273. Mon Apr 20 11:24:15 2026 6 relations: 825615
  274. Mon Apr 20 11:24:15 2026 7 relations: 816016
  275. Mon Apr 20 11:24:15 2026 8 relations: 770750
  276. Mon Apr 20 11:24:15 2026 9 relations: 727923
  277. Mon Apr 20 11:24:15 2026 10+ relations: 3839819
  278. Mon Apr 20 11:24:15 2026 heaviest cycle: 26 relations
  279. Mon Apr 20 11:24:36 2026 RelProcTime: 3693
  280. Mon Apr 20 11:24:36 2026
  281. Mon Apr 20 11:24:36 2026 commencing linear algebra
  282. Mon Apr 20 11:24:36 2026 using VBITS=256
  283. Mon Apr 20 11:24:36 2026 building matrices for all densities
  284. Mon Apr 20 11:24:36 2026 found 3 density files
  285. Mon Apr 20 11:24:36 2026 building matrix for density 80
  286. Mon Apr 20 11:24:37 2026 read 12077868 cycles
  287. Mon Apr 20 11:24:52 2026 cycles contain 36167190 unique relations
  288. Mon Apr 20 11:25:46 2026 read 36167190 relations
  289. Mon Apr 20 11:25:56 2026 using 20 quadratic characters above 4294917295
  290. Mon Apr 20 11:26:11 2026 building initial matrix
  291. Mon Apr 20 11:32:10 2026 memory use: 5062.4 MB
  292. Mon Apr 20 11:32:13 2026 read 12077868 cycles
  293. Mon Apr 20 11:32:15 2026 matrix is 12077689 x 12077868 (4100.2 MB) with weight 1274438778 (105.52/col)
  294. Mon Apr 20 11:32:15 2026 sparse part has weight 929907875 (76.99/col)
  295. Mon Apr 20 11:33:27 2026 filtering completed in 2 passes
  296. Mon Apr 20 11:33:29 2026 matrix is 12074673 x 12074851 (4099.9 MB) with weight 1274326459 (105.54/col)
  297. Mon Apr 20 11:33:29 2026 sparse part has weight 929878534 (77.01/col)
  298. Mon Apr 20 11:33:59 2026 building matrix for density 100
  299. Mon Apr 20 11:33:59 2026 read 11183868 cycles
  300. Mon Apr 20 11:34:14 2026 cycles contain 36181862 unique relations
  301. Mon Apr 20 11:35:00 2026 read 36181862 relations
  302. Mon Apr 20 11:35:10 2026 using 20 quadratic characters above 4294917295
  303. Mon Apr 20 11:35:27 2026 building initial matrix
  304. Mon Apr 20 11:41:44 2026 memory use: 5074.4 MB
  305. Mon Apr 20 11:41:47 2026 read 11183868 cycles
  306. Mon Apr 20 11:41:49 2026 matrix is 11183689 x 11183868 (4553.6 MB) with weight 1402280043 (125.38/col)
  307. Mon Apr 20 11:41:49 2026 sparse part has weight 1059497107 (94.73/col)
  308. Mon Apr 20 11:43:08 2026 filtering completed in 2 passes
  309. Mon Apr 20 11:43:10 2026 matrix is 11182270 x 11182448 (4553.5 MB) with weight 1402213896 (125.39/col)
  310. Mon Apr 20 11:43:10 2026 sparse part has weight 1059474550 (94.74/col)
  311. Mon Apr 20 11:43:39 2026 building matrix for density 120
  312. Mon Apr 20 11:43:40 2026 read 10553868 cycles
  313. Mon Apr 20 11:43:54 2026 cycles contain 36187463 unique relations
  314. Mon Apr 20 11:44:33 2026 read 36187463 relations
  315. Mon Apr 20 11:44:42 2026 using 20 quadratic characters above 4294917295
  316. Mon Apr 20 11:44:57 2026 building initial matrix
  317. Mon Apr 20 11:52:00 2026 memory use: 5091.3 MB
  318. Mon Apr 20 11:52:03 2026 read 10553868 cycles
  319. Mon Apr 20 11:52:05 2026 matrix is 10553691 x 10553868 (4994.5 MB) with weight 1524577036 (144.46/col)
  320. Mon Apr 20 11:52:05 2026 sparse part has weight 1182628150 (112.06/col)
  321. Mon Apr 20 11:53:43 2026 filtering completed in 2 passes
  322. Mon Apr 20 11:53:44 2026 matrix is 10553068 x 10553243 (4994.4 MB) with weight 1524545716 (144.46/col)
  323. Mon Apr 20 11:53:44 2026 sparse part has weight 1182617461 (112.06/col)
  324. Mon Apr 20 11:54:18 2026 BLanczosTime: 1782
  325. Mon Apr 20 11:54:18 2026 elapsed time 01:31:15
  326. Mon Apr 20 12:06:01 2026
  327. Mon Apr 20 12:06:01 2026
  328. Mon Apr 20 12:06:01 2026 Msieve v. 1.54 (SVN unknown)
  329. Mon Apr 20 12:06:01 2026 random seeds: a95e8dc1 ca1785cf
  330. Mon Apr 20 12:06:01 2026 Using 8 OpenMP threads
  331. Mon Apr 20 12:06:01 2026 factoring 36521658093164352521021703605240699463043599835655450631389771726565255994710102986240393439888369058977099497193807895767992131703042771657084416666749700359305098290142969 (173 digits)
  332. Mon Apr 20 12:06:01 2026 no P-1/P+1/ECM available, skipping
  333. Mon Apr 20 12:06:01 2026 commencing number field sieve (173-digit input)
  334. Mon Apr 20 12:06:01 2026 R0: -4139972960671305405256097986926370
  335. Mon Apr 20 12:06:01 2026 R1: 1276890620585992423961
  336. Mon Apr 20 12:06:01 2026 A0: 1957176498954152866136627796173579749659
  337. Mon Apr 20 12:06:01 2026 A1: 3005771244506000094825959206972093
  338. Mon Apr 20 12:06:01 2026 A2: -73335868116273142024683513
  339. Mon Apr 20 12:06:01 2026 A3: -163721724791164076882
  340. Mon Apr 20 12:06:01 2026 A4: 1710863874763
  341. Mon Apr 20 12:06:01 2026 A5: 30030
  342. Mon Apr 20 12:06:01 2026 skew 1.00, size 1.196e-16, alpha -6.541, combined = 1.853e-15 rroots = 5
  343. Mon Apr 20 12:06:01 2026
  344. Mon Apr 20 12:06:01 2026 commencing linear algebra
  345. Mon Apr 20 12:06:01 2026 using VBITS=256
  346. Mon Apr 20 12:06:01 2026 selecting density 100 for linear algebra
  347. Mon Apr 20 12:06:05 2026 matrix starts at (0, 0)
  348. Mon Apr 20 12:06:05 2026 matrix is 11182270 x 11182448 (4553.5 MB) with weight 1402213896 (125.39/col)
  349. Mon Apr 20 12:06:05 2026 sparse part has weight 1059474550 (94.74/col)
  350. Mon Apr 20 12:06:05 2026 saving the first 240 matrix rows for later
  351. Mon Apr 20 12:06:07 2026 matrix includes 256 packed rows
  352. Mon Apr 20 12:06:10 2026 matrix is 11182030 x 11182448 (4138.0 MB) with weight 965702452 (86.36/col)
  353. Mon Apr 20 12:06:10 2026 sparse part has weight 905822050 (81.00/col)
  354. Mon Apr 20 12:06:10 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  355. Mon Apr 20 12:06:10 2026 selected card has CUDA arch 12.0
  356. Mon Apr 20 12:07:38 2026 commencing Lanczos iteration
  357. Mon Apr 20 12:07:45 2026 memory use: 9726.3 MB
  358. Mon Apr 20 12:08:18 2026 linear algebra at 0.3%, ETA 3h14m
  359. Mon Apr 20 12:09:06 2026 checking every 50000 dimensions, checkpointing every 3500000 dimensions
  360. Mon Apr 20 15:15:42 2026 lanczos halted after 43813 iterations (dim = 11182030)
  361. Mon Apr 20 15:16:07 2026 recovered 33 nontrivial dependencies
  362. Mon Apr 20 15:16:08 2026 BLanczosTime: 11407
  363. Mon Apr 20 15:16:08 2026
  364. Mon Apr 20 15:16:08 2026 commencing square root phase
  365. Mon Apr 20 15:16:08 2026 handling dependencies 1 to 64
  366. Mon Apr 20 15:16:08 2026 reading relations for dependency 1
  367. Mon Apr 20 15:16:30 2026 read 5586325 cycles
  368. Mon Apr 20 15:16:36 2026 cycles contain 18083336 unique relations
  369. Mon Apr 20 15:19:54 2026 read 18083336 relations
  370. Mon Apr 20 15:20:41 2026 multiplying 18083336 relations
  371. Mon Apr 20 15:22:03 2026 multiply complete, coefficients have about 975.23 million bits
  372. Mon Apr 20 15:22:05 2026 initial square root is modulo 561399277
  373. Mon Apr 20 15:25:01 2026 GCD is N, no factor found
  374. Mon Apr 20 15:25:01 2026 reading relations for dependency 2
  375. Mon Apr 20 15:25:02 2026 read 5591725 cycles
  376. Mon Apr 20 15:25:08 2026 cycles contain 18091628 unique relations
  377. Mon Apr 20 15:25:35 2026 read 18091628 relations
  378. Mon Apr 20 15:26:22 2026 multiplying 18091628 relations
  379. Mon Apr 20 15:27:41 2026 multiply complete, coefficients have about 975.67 million bits
  380. Mon Apr 20 15:27:43 2026 initial square root is modulo 566538493
  381. Mon Apr 20 15:30:37 2026 sqrtTime: 869
  382. Mon Apr 20 15:30:37 2026 p83 factor: 64277761720016757688380264723502023402751771244474942299307979983795576073906497429
  383. Mon Apr 20 15:30:37 2026 p90 factor: 568184969667217451677588847612549091017653695455321197373231886686627259597786049016066261
  384. Mon Apr 20 15:30:37 2026 elapsed time 03:24:36
  385.  
Tags: math
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