kyleaskine

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Aug 8th, 2026
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  1. Fri Aug 7 15:32:59 2026
  2. Fri Aug 7 15:32:59 2026
  3. Fri Aug 7 15:32:59 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Aug 7 15:32:59 2026 random seeds: 6d8c3f5f 9350e1b2
  5. Fri Aug 7 15:32:59 2026 Using 8 OpenMP threads
  6. Fri Aug 7 15:32:59 2026 factoring 11493682271793392708944526261143893493686499655244530123622609292450792358906852129536028993563846837833879802481473712158480936540665609979122163440789770658049429800624864283 (176 digits)
  7. Fri Aug 7 15:32:59 2026 no P-1/P+1/ECM available, skipping
  8. Fri Aug 7 15:32:59 2026 commencing number field sieve (176-digit input)
  9. Fri Aug 7 15:32:59 2026 R0: -13290287240761101171353128119355448
  10. Fri Aug 7 15:32:59 2026 R1: 3562432760270377305269
  11. Fri Aug 7 15:32:59 2026 A0: -10340887382114969302409353215190603446462
  12. Fri Aug 7 15:32:59 2026 A1: 5021437975122284469584747339880997
  13. Fri Aug 7 15:32:59 2026 A2: 725322904755088717748386074
  14. Fri Aug 7 15:32:59 2026 A3: -341521954346392090831
  15. Fri Aug 7 15:32:59 2026 A4: -8394146907198
  16. Fri Aug 7 15:32:59 2026 A5: 166320
  17. Fri Aug 7 15:32:59 2026 skew 7786313.42, size 6.060e-17, alpha -6.580, combined = 2.165e-13 rroots = 5
  18. Fri Aug 7 15:32:59 2026
  19. Fri Aug 7 15:32:59 2026 commencing relation filtering
  20. Fri Aug 7 15:32:59 2026 setting 3 target densities:Fri Aug 7 15:32:59 2026 100Fri Aug 7 15:32:59 2026 120Fri Aug 7 15:32:59 2026 140Fri Aug 7 15:32:59 2026
  21. Fri Aug 7 15:32:59 2026 estimated available RAM is 78540.1 MB
  22. Fri Aug 7 15:32:59 2026 commencing duplicate removal, pass 1
  23. Fri Aug 7 15:33:02 2026 error -1 reading relation 1352927
  24. Fri Aug 7 15:33:05 2026 error -1 reading relation 4381805
  25. Fri Aug 7 15:33:15 2026 error -11 reading relation 15093050
  26. Fri Aug 7 15:33:25 2026 error -1 reading relation 24168363
  27. Fri Aug 7 15:33:54 2026 error -1 reading relation 53189576
  28. Fri Aug 7 15:33:57 2026 error -1 reading relation 56353411
  29. Fri Aug 7 15:34:12 2026 error -1 reading relation 72432408
  30. Fri Aug 7 15:34:58 2026 error -1 reading relation 115754672
  31. Fri Aug 7 15:35:01 2026 error -1 reading relation 118318878
  32. Fri Aug 7 15:35:01 2026 error -1 reading relation 118756427
  33. Fri Aug 7 15:35:15 2026 error -1 reading relation 133896209
  34. Fri Aug 7 15:35:19 2026 error -1 reading relation 137890357
  35. Fri Aug 7 15:35:37 2026 error -1 reading relation 155472166
  36. Fri Aug 7 15:35:59 2026 error -1 reading relation 178762658
  37. Fri Aug 7 15:36:39 2026 error -1 reading relation 217113910
  38. Fri Aug 7 15:38:11 2026 error -1 reading relation 306587370
  39. Fri Aug 7 15:38:17 2026 skipped 1 relations with composite factors
  40. Fri Aug 7 15:38:17 2026 skipped 164 malformed relations
  41. Fri Aug 7 15:38:17 2026 found 57642844 hash collisions in 313501890 relations
  42. Fri Aug 7 15:38:30 2026 added 122523 free relations
  43. Fri Aug 7 15:38:30 2026 commencing duplicate removal, pass 2
  44. Fri Aug 7 15:40:32 2026 found 59323413 duplicates and 254301000 unique relations
  45. Fri Aug 7 15:40:32 2026 memory use: 1705.5 MB
  46. Fri Aug 7 15:40:32 2026 reading ideals above 720000
  47. Fri Aug 7 15:40:32 2026 commencing singleton removal, initial pass
  48. Fri Aug 7 15:52:00 2026 memory use: 6024.0 MB
  49. Fri Aug 7 15:52:01 2026 reading all ideals from disk
  50. Fri Aug 7 15:52:39 2026 memory use: 12107.5 MB
  51. Fri Aug 7 15:53:22 2026 keeping 235760408 ideals with weight <= 200, target excess is 1341556
  52. Fri Aug 7 15:53:39 2026 commencing in-memory singleton removal
  53. Fri Aug 7 15:53:42 2026 begin with 254301000 relations and 235760408 unique ideals
  54. Fri Aug 7 15:54:03 2026 reduce to 151641616 relations and 121672391 ideals in 15 passes
  55. Fri Aug 7 15:54:03 2026 max relations containing the same ideal: 149
  56. Fri Aug 7 15:54:40 2026 removing 11374761 relations and 9374761 ideals in 2000000 cliques
  57. Fri Aug 7 15:54:43 2026 commencing in-memory singleton removal
  58. Fri Aug 7 15:54:45 2026 begin with 140266855 relations and 121672391 unique ideals
  59. Fri Aug 7 15:54:56 2026 reduce to 139637828 relations and 111657942 ideals in 10 passes
  60. Fri Aug 7 15:54:56 2026 max relations containing the same ideal: 143
  61. Fri Aug 7 15:55:29 2026 removing 8676548 relations and 6676548 ideals in 2000000 cliques
  62. Fri Aug 7 15:55:31 2026 commencing in-memory singleton removal
  63. Fri Aug 7 15:55:33 2026 begin with 130961280 relations and 111657942 unique ideals
  64. Fri Aug 7 15:55:38 2026 reduce to 130540770 relations and 104554786 ideals in 7 passes
  65. Fri Aug 7 15:55:38 2026 max relations containing the same ideal: 134
  66. Fri Aug 7 15:56:08 2026 removing 7863757 relations and 5863757 ideals in 2000000 cliques
  67. Fri Aug 7 15:56:11 2026 commencing in-memory singleton removal
  68. Fri Aug 7 15:56:12 2026 begin with 122677013 relations and 104554786 unique ideals
  69. Fri Aug 7 15:56:20 2026 reduce to 122302262 relations and 98310840 ideals in 8 passes
  70. Fri Aug 7 15:56:20 2026 max relations containing the same ideal: 129
  71. Fri Aug 7 15:56:49 2026 removing 7441433 relations and 5441433 ideals in 2000000 cliques
  72. Fri Aug 7 15:56:51 2026 commencing in-memory singleton removal
  73. Fri Aug 7 15:56:53 2026 begin with 114860829 relations and 98310840 unique ideals
  74. Fri Aug 7 15:56:59 2026 reduce to 114506280 relations and 92509410 ideals in 7 passes
  75. Fri Aug 7 15:56:59 2026 max relations containing the same ideal: 124
  76. Fri Aug 7 15:57:26 2026 removing 7187586 relations and 5187586 ideals in 2000000 cliques
  77. Fri Aug 7 15:57:28 2026 commencing in-memory singleton removal
  78. Fri Aug 7 15:57:29 2026 begin with 107318694 relations and 92509410 unique ideals
  79. Fri Aug 7 15:57:37 2026 reduce to 106968772 relations and 86966299 ideals in 9 passes
  80. Fri Aug 7 15:57:37 2026 max relations containing the same ideal: 120
  81. Fri Aug 7 15:58:03 2026 removing 7016084 relations and 5016084 ideals in 2000000 cliques
  82. Fri Aug 7 15:58:05 2026 commencing in-memory singleton removal
  83. Fri Aug 7 15:58:06 2026 begin with 99952688 relations and 86966299 unique ideals
  84. Fri Aug 7 15:58:09 2026 reduce to 99599062 relations and 81590581 ideals in 7 passes
  85. Fri Aug 7 15:58:09 2026 max relations containing the same ideal: 113
  86. Fri Aug 7 15:58:35 2026 removing 6904172 relations and 4904172 ideals in 2000000 cliques
  87. Fri Aug 7 15:58:37 2026 commencing in-memory singleton removal
  88. Fri Aug 7 15:58:38 2026 begin with 92694890 relations and 81590581 unique ideals
  89. Fri Aug 7 15:58:42 2026 reduce to 92330819 relations and 76315709 ideals in 8 passes
  90. Fri Aug 7 15:58:42 2026 max relations containing the same ideal: 108
  91. Fri Aug 7 15:59:07 2026 removing 6834625 relations and 4834625 ideals in 2000000 cliques
  92. Fri Aug 7 15:59:09 2026 commencing in-memory singleton removal
  93. Fri Aug 7 15:59:09 2026 begin with 85496194 relations and 76315709 unique ideals
  94. Fri Aug 7 15:59:12 2026 reduce to 85114147 relations and 71091609 ideals in 7 passes
  95. Fri Aug 7 15:59:12 2026 max relations containing the same ideal: 101
  96. Fri Aug 7 15:59:35 2026 removing 6803676 relations and 4803676 ideals in 2000000 cliques
  97. Fri Aug 7 15:59:37 2026 commencing in-memory singleton removal
  98. Fri Aug 7 15:59:37 2026 begin with 78310471 relations and 71091609 unique ideals
  99. Fri Aug 7 15:59:40 2026 reduce to 77902511 relations and 65871586 ideals in 7 passes
  100. Fri Aug 7 15:59:40 2026 max relations containing the same ideal: 96
  101. Fri Aug 7 16:00:01 2026 removing 6801551 relations and 4801551 ideals in 2000000 cliques
  102. Fri Aug 7 16:00:03 2026 commencing in-memory singleton removal
  103. Fri Aug 7 16:00:04 2026 begin with 71100960 relations and 65871586 unique ideals
  104. Fri Aug 7 16:00:07 2026 reduce to 70656937 relations and 60615946 ideals in 7 passes
  105. Fri Aug 7 16:00:07 2026 max relations containing the same ideal: 89
  106. Fri Aug 7 16:00:24 2026 removing 6826092 relations and 4826092 ideals in 2000000 cliques
  107. Fri Aug 7 16:00:26 2026 commencing in-memory singleton removal
  108. Fri Aug 7 16:00:27 2026 begin with 63830845 relations and 60615946 unique ideals
  109. Fri Aug 7 16:00:30 2026 reduce to 63332742 relations and 55279702 ideals in 7 passes
  110. Fri Aug 7 16:00:30 2026 max relations containing the same ideal: 85
  111. Fri Aug 7 16:00:45 2026 removing 6891856 relations and 4891856 ideals in 2000000 cliques
  112. Fri Aug 7 16:00:47 2026 commencing in-memory singleton removal
  113. Fri Aug 7 16:00:47 2026 begin with 56440886 relations and 55279702 unique ideals
  114. Fri Aug 7 16:00:51 2026 reduce to 55872045 relations and 49803747 ideals in 8 passes
  115. Fri Aug 7 16:00:51 2026 max relations containing the same ideal: 77
  116. Fri Aug 7 16:01:07 2026 removing 6997028 relations and 4997028 ideals in 2000000 cliques
  117. Fri Aug 7 16:01:08 2026 commencing in-memory singleton removal
  118. Fri Aug 7 16:01:09 2026 begin with 48875017 relations and 49803747 unique ideals
  119. Fri Aug 7 16:01:12 2026 reduce to 48197497 relations and 44108544 ideals in 8 passes
  120. Fri Aug 7 16:01:12 2026 max relations containing the same ideal: 69
  121. Fri Aug 7 16:01:24 2026 removing 7167193 relations and 5167193 ideals in 2000000 cliques
  122. Fri Aug 7 16:01:25 2026 commencing in-memory singleton removal
  123. Fri Aug 7 16:01:26 2026 begin with 41030304 relations and 44108544 unique ideals
  124. Fri Aug 7 16:01:28 2026 reduce to 40177519 relations and 38058651 ideals in 9 passes
  125. Fri Aug 7 16:01:28 2026 max relations containing the same ideal: 61
  126. Fri Aug 7 16:01:40 2026 removing 2749315 relations and 2186652 ideals in 562663 cliques
  127. Fri Aug 7 16:01:41 2026 commencing in-memory singleton removal
  128. Fri Aug 7 16:01:41 2026 begin with 37428204 relations and 38058651 unique ideals
  129. Fri Aug 7 16:01:42 2026 reduce to 37289478 relations and 35731610 ideals in 7 passes
  130. Fri Aug 7 16:01:42 2026 max relations containing the same ideal: 58
  131. Fri Aug 7 16:01:53 2026 trying target density 100
  132. Fri Aug 7 16:01:56 2026 relations with 0 large ideals: 4901
  133. Fri Aug 7 16:01:56 2026 relations with 1 large ideals: 37128
  134. Fri Aug 7 16:01:56 2026 relations with 2 large ideals: 465359
  135. Fri Aug 7 16:01:56 2026 relations with 3 large ideals: 2399755
  136. Fri Aug 7 16:01:56 2026 relations with 4 large ideals: 6488277
  137. Fri Aug 7 16:01:56 2026 relations with 5 large ideals: 10151240
  138. Fri Aug 7 16:01:56 2026 relations with 6 large ideals: 9679059
  139. Fri Aug 7 16:01:56 2026 relations with 7+ large ideals: 8063759
  140. Fri Aug 7 16:01:56 2026 commencing 2-way merge
  141. Fri Aug 7 16:02:11 2026 reduce to 22809122 relation sets and 21251253 unique ideals
  142. Fri Aug 7 16:02:11 2026 commencing full merge
  143. Fri Aug 7 16:06:23 2026 memory use: 2509.0 MB
  144. Fri Aug 7 16:06:24 2026 found 10807259 cycles, need 10603453
  145. Fri Aug 7 16:06:27 2026 weight of 10603453 cycles is about 1060834222 (100.05/cycle)
  146. Fri Aug 7 16:06:27 2026 distribution of cycle lengths:
  147. Fri Aug 7 16:06:27 2026 1 relations: 910117
  148. Fri Aug 7 16:06:27 2026 2 relations: 834264
  149. Fri Aug 7 16:06:27 2026 3 relations: 878999
  150. Fri Aug 7 16:06:27 2026 4 relations: 897906
  151. Fri Aug 7 16:06:27 2026 5 relations: 915086
  152. Fri Aug 7 16:06:27 2026 6 relations: 877284
  153. Fri Aug 7 16:06:27 2026 7 relations: 854367
  154. Fri Aug 7 16:06:27 2026 8 relations: 784291
  155. Fri Aug 7 16:06:27 2026 9 relations: 706154
  156. Fri Aug 7 16:06:27 2026 10+ relations: 2944985
  157. Fri Aug 7 16:06:27 2026 heaviest cycle: 23 relations
  158. Fri Aug 7 16:06:28 2026 commencing cycle optimization
  159. Fri Aug 7 16:06:43 2026 start with 74973491 relations
  160. Fri Aug 7 16:08:12 2026 pruned 2549269 relations
  161. Fri Aug 7 16:08:12 2026 memory use: 2277.2 MB
  162. Fri Aug 7 16:08:12 2026 distribution of cycle lengths:
  163. Fri Aug 7 16:08:13 2026 1 relations: 910117
  164. Fri Aug 7 16:08:13 2026 2 relations: 855667
  165. Fri Aug 7 16:08:13 2026 3 relations: 912973
  166. Fri Aug 7 16:08:13 2026 4 relations: 930237
  167. Fri Aug 7 16:08:13 2026 5 relations: 952400
  168. Fri Aug 7 16:08:13 2026 6 relations: 912572
  169. Fri Aug 7 16:08:13 2026 7 relations: 886751
  170. Fri Aug 7 16:08:13 2026 8 relations: 808564
  171. Fri Aug 7 16:08:13 2026 9 relations: 724058
  172. Fri Aug 7 16:08:13 2026 10+ relations: 2710114
  173. Fri Aug 7 16:08:13 2026 heaviest cycle: 22 relations
  174. Fri Aug 7 16:08:25 2026 trying target density 120
  175. Fri Aug 7 16:08:27 2026 relations with 0 large ideals: 4901
  176. Fri Aug 7 16:08:27 2026 relations with 1 large ideals: 37128
  177. Fri Aug 7 16:08:27 2026 relations with 2 large ideals: 465359
  178. Fri Aug 7 16:08:27 2026 relations with 3 large ideals: 2399755
  179. Fri Aug 7 16:08:27 2026 relations with 4 large ideals: 6488277
  180. Fri Aug 7 16:08:27 2026 relations with 5 large ideals: 10151240
  181. Fri Aug 7 16:08:27 2026 relations with 6 large ideals: 9679059
  182. Fri Aug 7 16:08:27 2026 relations with 7+ large ideals: 8063759
  183. Fri Aug 7 16:08:27 2026 commencing 2-way merge
  184. Fri Aug 7 16:08:42 2026 reduce to 22809122 relation sets and 21251253 unique ideals
  185. Fri Aug 7 16:08:42 2026 commencing full merge
  186. Fri Aug 7 16:13:43 2026 memory use: 2560.7 MB
  187. Fri Aug 7 16:13:45 2026 found 10143752 cycles, need 9987453
  188. Fri Aug 7 16:13:48 2026 weight of 9987453 cycles is about 1198674865 (120.02/cycle)
  189. Fri Aug 7 16:13:48 2026 distribution of cycle lengths:
  190. Fri Aug 7 16:13:48 2026 1 relations: 683075
  191. Fri Aug 7 16:13:48 2026 2 relations: 644047
  192. Fri Aug 7 16:13:48 2026 3 relations: 684899
  193. Fri Aug 7 16:13:48 2026 4 relations: 692632
  194. Fri Aug 7 16:13:48 2026 5 relations: 717758
  195. Fri Aug 7 16:13:48 2026 6 relations: 707623
  196. Fri Aug 7 16:13:48 2026 7 relations: 707200
  197. Fri Aug 7 16:13:48 2026 8 relations: 676028
  198. Fri Aug 7 16:13:48 2026 9 relations: 643936
  199. Fri Aug 7 16:13:48 2026 10+ relations: 3830255
  200. Fri Aug 7 16:13:48 2026 heaviest cycle: 27 relations
  201. Fri Aug 7 16:13:49 2026 commencing cycle optimization
  202. Fri Aug 7 16:14:04 2026 start with 84370201 relations
  203. Fri Aug 7 16:16:00 2026 pruned 3497239 relations
  204. Fri Aug 7 16:16:01 2026 memory use: 2371.5 MB
  205. Fri Aug 7 16:16:01 2026 distribution of cycle lengths:
  206. Fri Aug 7 16:16:01 2026 1 relations: 683075
  207. Fri Aug 7 16:16:01 2026 2 relations: 661168
  208. Fri Aug 7 16:16:01 2026 3 relations: 711985
  209. Fri Aug 7 16:16:01 2026 4 relations: 720268
  210. Fri Aug 7 16:16:01 2026 5 relations: 750854
  211. Fri Aug 7 16:16:01 2026 6 relations: 740981
  212. Fri Aug 7 16:16:01 2026 7 relations: 742864
  213. Fri Aug 7 16:16:01 2026 8 relations: 707279
  214. Fri Aug 7 16:16:01 2026 9 relations: 672363
  215. Fri Aug 7 16:16:01 2026 10+ relations: 3596616
  216. Fri Aug 7 16:16:01 2026 heaviest cycle: 26 relations
  217. Fri Aug 7 16:16:15 2026 trying target density 140
  218. Fri Aug 7 16:16:17 2026 relations with 0 large ideals: 4901
  219. Fri Aug 7 16:16:17 2026 relations with 1 large ideals: 37128
  220. Fri Aug 7 16:16:17 2026 relations with 2 large ideals: 465359
  221. Fri Aug 7 16:16:17 2026 relations with 3 large ideals: 2399755
  222. Fri Aug 7 16:16:17 2026 relations with 4 large ideals: 6488277
  223. Fri Aug 7 16:16:17 2026 relations with 5 large ideals: 10151240
  224. Fri Aug 7 16:16:17 2026 relations with 6 large ideals: 9679059
  225. Fri Aug 7 16:16:17 2026 relations with 7+ large ideals: 8063759
  226. Fri Aug 7 16:16:17 2026 commencing 2-way merge
  227. Fri Aug 7 16:16:30 2026 reduce to 22809122 relation sets and 21251253 unique ideals
  228. Fri Aug 7 16:16:30 2026 commencing full merge
  229. Fri Aug 7 16:22:08 2026 memory use: 2579.5 MB
  230. Fri Aug 7 16:22:10 2026 found 9571244 cycles, need 9525453
  231. Fri Aug 7 16:22:12 2026 weight of 9525453 cycles is about 1333636900 (140.01/cycle)
  232. Fri Aug 7 16:22:12 2026 distribution of cycle lengths:
  233. Fri Aug 7 16:22:12 2026 1 relations: 522800
  234. Fri Aug 7 16:22:12 2026 2 relations: 523067
  235. Fri Aug 7 16:22:12 2026 3 relations: 553548
  236. Fri Aug 7 16:22:12 2026 4 relations: 560917
  237. Fri Aug 7 16:22:12 2026 5 relations: 582700
  238. Fri Aug 7 16:22:12 2026 6 relations: 587032
  239. Fri Aug 7 16:22:12 2026 7 relations: 588349
  240. Fri Aug 7 16:22:12 2026 8 relations: 584224
  241. Fri Aug 7 16:22:12 2026 9 relations: 567175
  242. Fri Aug 7 16:22:12 2026 10+ relations: 4455641
  243. Fri Aug 7 16:22:12 2026 heaviest cycle: 28 relations
  244. Fri Aug 7 16:22:14 2026 commencing cycle optimization
  245. Fri Aug 7 16:22:31 2026 start with 93446358 relations
  246. Fri Aug 7 16:25:03 2026 pruned 4479773 relations
  247. Fri Aug 7 16:25:03 2026 memory use: 2461.5 MB
  248. Fri Aug 7 16:25:04 2026 distribution of cycle lengths:
  249. Fri Aug 7 16:25:04 2026 1 relations: 522800
  250. Fri Aug 7 16:25:04 2026 2 relations: 537010
  251. Fri Aug 7 16:25:04 2026 3 relations: 575650
  252. Fri Aug 7 16:25:04 2026 4 relations: 584230
  253. Fri Aug 7 16:25:04 2026 5 relations: 611359
  254. Fri Aug 7 16:25:04 2026 6 relations: 616597
  255. Fri Aug 7 16:25:04 2026 7 relations: 623114
  256. Fri Aug 7 16:25:04 2026 8 relations: 615888
  257. Fri Aug 7 16:25:04 2026 9 relations: 599757
  258. Fri Aug 7 16:25:04 2026 10+ relations: 4239048
  259. Fri Aug 7 16:25:04 2026 heaviest cycle: 28 relations
  260. Fri Aug 7 16:25:16 2026 RelProcTime: 3137
  261. Fri Aug 7 16:25:16 2026
  262. Fri Aug 7 16:25:16 2026 commencing linear algebra
  263. Fri Aug 7 16:25:16 2026 using VBITS=256
  264. Fri Aug 7 16:25:16 2026 building matrices for all densities
  265. Fri Aug 7 16:25:16 2026 found 3 density files
  266. Fri Aug 7 16:25:16 2026 building matrix for density 100
  267. Fri Aug 7 16:25:17 2026 read 10603453 cycles
  268. Fri Aug 7 16:25:28 2026 cycles contain 36343542 unique relations
  269. Fri Aug 7 16:26:13 2026 read 36343542 relations
  270. Fri Aug 7 16:26:24 2026 using 20 quadratic characters above 4294917295
  271. Fri Aug 7 16:26:38 2026 building initial matrix
  272. Fri Aug 7 16:31:59 2026 memory use: 5109.4 MB
  273. Fri Aug 7 16:32:03 2026 read 10603453 cycles
  274. Fri Aug 7 16:32:04 2026 matrix is 10603272 x 10603453 (4279.2 MB) with weight 1318529728 (124.35/col)
  275. Fri Aug 7 16:32:04 2026 sparse part has weight 1005121405 (94.79/col)
  276. Fri Aug 7 16:33:13 2026 filtering completed in 2 passes
  277. Fri Aug 7 16:33:14 2026 matrix is 10600563 x 10600744 (4278.9 MB) with weight 1318407562 (124.37/col)
  278. Fri Aug 7 16:33:14 2026 sparse part has weight 1005079990 (94.81/col)
  279. Fri Aug 7 16:33:41 2026 building matrix for density 120
  280. Fri Aug 7 16:33:41 2026 read 9987453 cycles
  281. Fri Aug 7 16:33:53 2026 cycles contain 36351479 unique relations
  282. Fri Aug 7 16:34:39 2026 read 36351479 relations
  283. Fri Aug 7 16:34:50 2026 using 20 quadratic characters above 4294917295
  284. Fri Aug 7 16:35:04 2026 building initial matrix
  285. Fri Aug 7 16:40:43 2026 memory use: 4967.5 MB
  286. Fri Aug 7 16:40:47 2026 read 9987453 cycles
  287. Fri Aug 7 16:40:48 2026 matrix is 9987276 x 9987453 (4686.0 MB) with weight 1428794101 (143.06/col)
  288. Fri Aug 7 16:40:48 2026 sparse part has weight 1118553266 (112.00/col)
  289. Fri Aug 7 16:42:01 2026 filtering completed in 2 passes
  290. Fri Aug 7 16:42:03 2026 matrix is 9986081 x 9986258 (4685.9 MB) with weight 1428729735 (143.07/col)
  291. Fri Aug 7 16:42:03 2026 sparse part has weight 1118527327 (112.01/col)
  292. Fri Aug 7 16:42:22 2026 building matrix for density 140
  293. Fri Aug 7 16:42:23 2026 read 9525453 cycles
  294. Fri Aug 7 16:42:38 2026 cycles contain 36350045 unique relations
  295. Fri Aug 7 16:43:24 2026 read 36350045 relations
  296. Fri Aug 7 16:43:34 2026 using 20 quadratic characters above 4294917295
  297. Fri Aug 7 16:43:49 2026 building initial matrix
  298. Fri Aug 7 16:51:59 2026 memory use: 4984.2 MB
  299. Fri Aug 7 16:52:05 2026 read 9525453 cycles
  300. Fri Aug 7 16:52:07 2026 matrix is 9525276 x 9525453 (5082.8 MB) with weight 1535689764 (161.22/col)
  301. Fri Aug 7 16:52:07 2026 sparse part has weight 1227651488 (128.88/col)
  302. Fri Aug 7 16:53:29 2026 filtering completed in 2 passes
  303. Fri Aug 7 16:53:32 2026 matrix is 9525009 x 9525186 (5082.8 MB) with weight 1535674930 (161.22/col)
  304. Fri Aug 7 16:53:32 2026 sparse part has weight 1227646096 (128.88/col)
  305. Fri Aug 7 16:53:51 2026 BLanczosTime: 1715
  306. Fri Aug 7 16:53:51 2026 elapsed time 01:20:52
  307. Sat Aug 8 00:43:35 2026
  308. Sat Aug 8 00:43:35 2026
  309. Sat Aug 8 00:43:35 2026 Msieve v. 1.54 (SVN unknown)
  310. Sat Aug 8 00:43:35 2026 random seeds: 75a54484 9f512276
  311. Sat Aug 8 00:43:35 2026 Using 8 OpenMP threads
  312. Sat Aug 8 00:43:35 2026 factoring 11493682271793392708944526261143893493686499655244530123622609292450792358906852129536028993563846837833879802481473712158480936540665609979122163440789770658049429800624864283 (176 digits)
  313. Sat Aug 8 00:43:36 2026 no P-1/P+1/ECM available, skipping
  314. Sat Aug 8 00:43:36 2026 commencing number field sieve (176-digit input)
  315. Sat Aug 8 00:43:36 2026 R0: -13290287240761101171353128119355448
  316. Sat Aug 8 00:43:36 2026 R1: 3562432760270377305269
  317. Sat Aug 8 00:43:36 2026 A0: -10340887382114969302409353215190603446462
  318. Sat Aug 8 00:43:36 2026 A1: 5021437975122284469584747339880997
  319. Sat Aug 8 00:43:36 2026 A2: 725322904755088717748386074
  320. Sat Aug 8 00:43:36 2026 A3: -341521954346392090831
  321. Sat Aug 8 00:43:36 2026 A4: -8394146907198
  322. Sat Aug 8 00:43:36 2026 A5: 166320
  323. Sat Aug 8 00:43:36 2026 skew 7786313.42, size 6.060e-17, alpha -6.580, combined = 2.165e-13 rroots = 5
  324. Sat Aug 8 00:43:36 2026
  325. Sat Aug 8 00:43:36 2026 commencing linear algebra
  326. Sat Aug 8 00:43:36 2026 using VBITS=256
  327. Sat Aug 8 00:43:36 2026 skipping matrix build
  328. Sat Aug 8 00:43:42 2026 matrix starts at (0, 0)
  329. Sat Aug 8 00:43:45 2026 matrix is 9525009 x 9525186 (5082.8 MB) with weight 1535674930 (161.22/col)
  330. Sat Aug 8 00:43:45 2026 sparse part has weight 1227646096 (128.88/col)
  331. Sat Aug 8 00:43:45 2026 saving the first 240 matrix rows for later
  332. Sat Aug 8 00:43:50 2026 matrix includes 256 packed rows
  333. Sat Aug 8 00:43:55 2026 matrix is 9524769 x 9525186 (4615.5 MB) with weight 1123113001 (117.91/col)
  334. Sat Aug 8 00:43:55 2026 sparse part has weight 1057516371 (111.02/col)
  335. Sat Aug 8 00:43:55 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  336. Sat Aug 8 00:43:55 2026 selected card has CUDA arch 12.0
  337. Sat Aug 8 00:43:56 2026 computed block_nnz 174624351 (L2 cache 100663296 bytes, average column weight 111.0)
  338. Sat Aug 8 00:43:56 2026 nonzeros per matrix block: 256000000
  339. Sat Aug 8 00:46:15 2026 commencing Lanczos iteration
  340. Sat Aug 8 00:46:15 2026 memory use: 10757.1 MB
  341. Sat Aug 8 00:46:23 2026 linear algebra at 0.3%, ETA 0h36m
  342. Sat Aug 8 00:46:33 2026 checking every 270000 dimensions, checkpointing every 16470000 dimensions
  343. Sat Aug 8 01:22:08 2026 lanczos halted after 37319 iterations (dim = 9524769)
  344. Sat Aug 8 01:22:51 2026 recovered 31 nontrivial dependencies
  345. Sat Aug 8 01:22:51 2026 BLanczosTime: 2355
  346. Sat Aug 8 01:22:51 2026 elapsed time 00:39:16
  347. Fri Aug 7 22:21:16 2026
  348. Fri Aug 7 22:21:16 2026
  349. Fri Aug 7 22:21:16 2026 Msieve v. 1.54 (SVN unknown)
  350. Fri Aug 7 22:21:16 2026 random seeds: 9b0a3d44 5a1a7857
  351. Fri Aug 7 22:21:16 2026 Using 14 OpenMP threads
  352. Fri Aug 7 22:21:16 2026 factoring 11493682271793392708944526261143893493686499655244530123622609292450792358906852129536028993563846837833879802481473712158480936540665609979122163440789770658049429800624864283 (176 digits)
  353. Fri Aug 7 22:21:16 2026 no P-1/P+1/ECM available, skipping
  354. Fri Aug 7 22:21:16 2026 commencing number field sieve (176-digit input)
  355. Fri Aug 7 22:21:16 2026 R0: -13290287240761101171353128119355448
  356. Fri Aug 7 22:21:16 2026 R1: 3562432760270377305269
  357. Fri Aug 7 22:21:16 2026 A0: -10340887382114969302409353215190603446462
  358. Fri Aug 7 22:21:16 2026 A1: 5021437975122284469584747339880997
  359. Fri Aug 7 22:21:16 2026 A2: 725322904755088717748386074
  360. Fri Aug 7 22:21:16 2026 A3: -341521954346392090831
  361. Fri Aug 7 22:21:16 2026 A4: -8394146907198
  362. Fri Aug 7 22:21:16 2026 A5: 166320
  363. Fri Aug 7 22:21:16 2026 skew 7786313.42, size 6.060e-17, alpha -6.580, combined = 2.165e-13 rroots = 5
  364. Fri Aug 7 22:21:16 2026
  365. Fri Aug 7 22:21:16 2026 commencing square root phase
  366. Fri Aug 7 22:21:16 2026 reading relations for dependency 1
  367. Fri Aug 7 22:21:18 2026 read 4763812 cycles
  368. Fri Aug 7 22:21:27 2026 cycles contain 18177050 unique relations
  369. Fri Aug 7 22:27:42 2026 read 18177050 relations
  370. Fri Aug 7 22:28:57 2026 multiplying 18177050 relations
  371. Fri Aug 7 22:31:27 2026 multiply complete, coefficients have about 1027.83 million bits
  372. Fri Aug 7 22:31:30 2026 initial square root is modulo 1664005573
  373. Fri Aug 7 22:36:46 2026 sqrtTime: 930
  374. Fri Aug 7 22:36:46 2026 p73 factor: 3460727760854616734617169336307625901340445965809803483492407237002922797
  375. Fri Aug 7 22:36:46 2026 p103 factor: 3321174927944942146195228932512816089687451311339949069424962885148382592779728487318626032280575201639
  376. Fri Aug 7 22:36:46 2026 elapsed time 00:15:30
  377.  
Tags: math
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