kyleaskine

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Feb 25th, 2026
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  1. Tue Feb 24 20:04:15 2026
  2. Tue Feb 24 20:04:15 2026
  3. Tue Feb 24 20:04:15 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Feb 24 20:04:15 2026 random seeds: 84785ce5 c12ca565
  5. Tue Feb 24 20:04:15 2026 Using 8 OpenMP threads
  6. Tue Feb 24 20:04:15 2026 factoring 82157190681202670359788206103449741782277417978838832391896431409102178129110794367501108638198505808851815723436489210165962594861803586713868867591986992241660143651 (167 digits)
  7. Tue Feb 24 20:04:16 2026 searching for 15-digit factors
  8. Tue Feb 24 20:04:16 2026 commencing number field sieve (167-digit input)
  9. Tue Feb 24 20:04:16 2026 R0: -287841790004517247094089609096543
  10. Tue Feb 24 20:04:16 2026 R1: 90486870637366487167
  11. Tue Feb 24 20:04:16 2026 A0: -268391456468106864338195178554352691800
  12. Tue Feb 24 20:04:16 2026 A1: 3261933861459317034860688637888170
  13. Tue Feb 24 20:04:16 2026 A2: 716060292384208021285614051
  14. Tue Feb 24 20:04:16 2026 A3: 12175196137319968901
  15. Tue Feb 24 20:04:16 2026 A4: -2478590481577
  16. Tue Feb 24 20:04:16 2026 A5: 41580
  17. Tue Feb 24 20:04:16 2026 skew 16257571.70, size 3.720e-16, alpha -6.455, combined = 6.285e-13 rroots = 5
  18. Tue Feb 24 20:04:16 2026
  19. Tue Feb 24 20:04:16 2026 commencing relation filtering
  20. Tue Feb 24 20:04:16 2026 target densities: 85 100 115 130
  21. Tue Feb 24 20:04:16 2026 estimated available RAM is 78540.1 MB
  22. Tue Feb 24 20:04:16 2026 commencing duplicate removal, pass 1
  23. Tue Feb 24 20:04:46 2026 error -1 reading relation 22834479
  24. Tue Feb 24 20:06:01 2026 error -1 reading relation 79805915
  25. Tue Feb 24 20:06:13 2026 error -1 reading relation 89250307
  26. Tue Feb 24 20:07:02 2026 error -1 reading relation 131124194
  27. Tue Feb 24 20:07:32 2026 error -1 reading relation 156239129
  28. Tue Feb 24 20:07:58 2026 error -1 reading relation 178362784
  29. Tue Feb 24 20:07:59 2026 error -1 reading relation 179020322
  30. Tue Feb 24 20:08:00 2026 error -1 reading relation 180023463
  31. Tue Feb 24 20:08:04 2026 error -1 reading relation 183502029
  32. Tue Feb 24 20:08:04 2026 error -1 reading relation 183599578
  33. Tue Feb 24 20:08:29 2026 error -1 reading relation 206332063
  34. Tue Feb 24 20:08:45 2026 error -1 reading relation 220029722
  35. Tue Feb 24 20:08:48 2026 error -1 reading relation 223072095
  36. Tue Feb 24 20:09:20 2026 error -1 reading relation 251684144
  37. Tue Feb 24 20:09:33 2026 skipped 1 relations with b > 2^32
  38. Tue Feb 24 20:09:33 2026 skipped 104 malformed relations
  39. Tue Feb 24 20:09:33 2026 found 48518274 hash collisions in 261309941 relations
  40. Tue Feb 24 20:09:47 2026 added 122533 free relations
  41. Tue Feb 24 20:09:47 2026 commencing duplicate removal, pass 2
  42. Tue Feb 24 20:12:31 2026 found 45095150 duplicates and 216337324 unique relations
  43. Tue Feb 24 20:12:31 2026 memory use: 1449.5 MB
  44. Tue Feb 24 20:12:31 2026 reading ideals above 720000
  45. Tue Feb 24 20:12:31 2026 commencing singleton removal, initial pass
  46. Tue Feb 24 20:28:34 2026 memory use: 6024.0 MB
  47. Tue Feb 24 20:28:34 2026 reading all ideals from disk
  48. Tue Feb 24 20:28:40 2026 memory use: 9870.1 MB
  49. Tue Feb 24 20:28:58 2026 keeping 216673609 ideals with weight <= 200, target excess is 1138753
  50. Tue Feb 24 20:29:20 2026 commencing in-memory singleton removal
  51. Tue Feb 24 20:29:24 2026 begin with 216337324 relations and 216673609 unique ideals
  52. Tue Feb 24 20:29:47 2026 reduce to 101647706 relations and 85467857 ideals in 17 passes
  53. Tue Feb 24 20:29:47 2026 max relations containing the same ideal: 127
  54. Tue Feb 24 20:30:37 2026 removing 12944407 relations and 10944407 ideals in 2000000 cliques
  55. Tue Feb 24 20:30:40 2026 commencing in-memory singleton removal
  56. Tue Feb 24 20:30:42 2026 begin with 88703299 relations and 85467857 unique ideals
  57. Tue Feb 24 20:30:51 2026 reduce to 87491639 relations and 73281026 ideals in 10 passes
  58. Tue Feb 24 20:30:51 2026 max relations containing the same ideal: 114
  59. Tue Feb 24 20:31:17 2026 removing 9670590 relations and 7670590 ideals in 2000000 cliques
  60. Tue Feb 24 20:31:19 2026 commencing in-memory singleton removal
  61. Tue Feb 24 20:31:20 2026 begin with 77821049 relations and 73281026 unique ideals
  62. Tue Feb 24 20:31:24 2026 reduce to 77010487 relations and 64781102 ideals in 8 passes
  63. Tue Feb 24 20:31:24 2026 max relations containing the same ideal: 103
  64. Tue Feb 24 20:31:45 2026 removing 8665429 relations and 6665429 ideals in 2000000 cliques
  65. Tue Feb 24 20:31:47 2026 commencing in-memory singleton removal
  66. Tue Feb 24 20:31:48 2026 begin with 68345058 relations and 64781102 unique ideals
  67. Tue Feb 24 20:31:52 2026 reduce to 67609796 relations and 57362602 ideals in 9 passes
  68. Tue Feb 24 20:31:52 2026 max relations containing the same ideal: 94
  69. Tue Feb 24 20:32:10 2026 removing 8160963 relations and 6160963 ideals in 2000000 cliques
  70. Tue Feb 24 20:32:12 2026 commencing in-memory singleton removal
  71. Tue Feb 24 20:32:12 2026 begin with 59448833 relations and 57362602 unique ideals
  72. Tue Feb 24 20:32:16 2026 reduce to 58719134 relations and 50452545 ideals in 9 passes
  73. Tue Feb 24 20:32:16 2026 max relations containing the same ideal: 86
  74. Tue Feb 24 20:32:32 2026 removing 7849938 relations and 5849938 ideals in 2000000 cliques
  75. Tue Feb 24 20:32:33 2026 commencing in-memory singleton removal
  76. Tue Feb 24 20:32:34 2026 begin with 50869196 relations and 50452545 unique ideals
  77. Tue Feb 24 20:32:37 2026 reduce to 50108707 relations and 43819318 ideals in 9 passes
  78. Tue Feb 24 20:32:37 2026 max relations containing the same ideal: 77
  79. Tue Feb 24 20:32:51 2026 removing 7652908 relations and 5652908 ideals in 2000000 cliques
  80. Tue Feb 24 20:32:53 2026 commencing in-memory singleton removal
  81. Tue Feb 24 20:32:53 2026 begin with 42455799 relations and 43819318 unique ideals
  82. Tue Feb 24 20:32:56 2026 reduce to 41627975 relations and 37309643 ideals in 9 passes
  83. Tue Feb 24 20:32:56 2026 max relations containing the same ideal: 70
  84. Tue Feb 24 20:33:09 2026 removing 7515929 relations and 5515929 ideals in 2000000 cliques
  85. Tue Feb 24 20:33:10 2026 commencing in-memory singleton removal
  86. Tue Feb 24 20:33:10 2026 begin with 34112046 relations and 37309643 unique ideals
  87. Tue Feb 24 20:33:12 2026 reduce to 33160585 relations and 30802536 ideals in 9 passes
  88. Tue Feb 24 20:33:12 2026 max relations containing the same ideal: 61
  89. Tue Feb 24 20:33:22 2026 removing 4468311 relations and 3431216 ideals in 1037095 cliques
  90. Tue Feb 24 20:33:23 2026 commencing in-memory singleton removal
  91. Tue Feb 24 20:33:23 2026 begin with 28692274 relations and 30802536 unique ideals
  92. Tue Feb 24 20:33:25 2026 reduce to 28296649 relations and 26964969 ideals in 8 passes
  93. Tue Feb 24 20:33:25 2026 max relations containing the same ideal: 55
  94. Tue Feb 24 20:33:33 2026 removing 92460 relations and 81734 ideals in 10726 cliques
  95. Tue Feb 24 20:33:34 2026 commencing in-memory singleton removal
  96. Tue Feb 24 20:33:34 2026 begin with 28204189 relations and 26964969 unique ideals
  97. Tue Feb 24 20:33:35 2026 reduce to 28204044 relations and 26883090 ideals in 4 passes
  98. Tue Feb 24 20:33:35 2026 max relations containing the same ideal: 55
  99. Tue Feb 24 20:33:37 2026 relations with 0 large ideals: 3833
  100. Tue Feb 24 20:33:37 2026 relations with 1 large ideals: 53021
  101. Tue Feb 24 20:33:37 2026 relations with 2 large ideals: 586048
  102. Tue Feb 24 20:33:37 2026 relations with 3 large ideals: 2652009
  103. Tue Feb 24 20:33:37 2026 relations with 4 large ideals: 6177454
  104. Tue Feb 24 20:33:37 2026 relations with 5 large ideals: 8139086
  105. Tue Feb 24 20:33:37 2026 relations with 6 large ideals: 6444279
  106. Tue Feb 24 20:33:37 2026 relations with 7+ large ideals: 4148314
  107. Tue Feb 24 20:33:37 2026 commencing 2-way merge
  108. Tue Feb 24 20:33:49 2026 reduce to 16894213 relation sets and 15573259 unique ideals
  109. Tue Feb 24 20:33:50 2026
  110. Tue Feb 24 20:33:50 2026 trying target density 85
  111. Tue Feb 24 20:33:50 2026 commencing full merge
  112. Tue Feb 24 20:36:38 2026 memory use: 1828.9 MB
  113. Tue Feb 24 20:36:39 2026 found 8619483 cycles, need 8439459
  114. Tue Feb 24 20:36:41 2026 weight of 8439459 cycles is about 717831357 (85.06/cycle)
  115. Tue Feb 24 20:36:41 2026 distribution of cycle lengths:
  116. Tue Feb 24 20:36:41 2026 1 relations: 721220
  117. Tue Feb 24 20:36:41 2026 2 relations: 815152
  118. Tue Feb 24 20:36:41 2026 3 relations: 868405
  119. Tue Feb 24 20:36:41 2026 4 relations: 859449
  120. Tue Feb 24 20:36:41 2026 5 relations: 827724
  121. Tue Feb 24 20:36:41 2026 6 relations: 783194
  122. Tue Feb 24 20:36:41 2026 7 relations: 715658
  123. Tue Feb 24 20:36:41 2026 8 relations: 628560
  124. Tue Feb 24 20:36:41 2026 9 relations: 539070
  125. Tue Feb 24 20:36:41 2026 10+ relations: 1681027
  126. Tue Feb 24 20:36:41 2026 heaviest cycle: 20 relations
  127. Tue Feb 24 20:36:43 2026 target density 85 succeeded, avg weight 85.06
  128. Tue Feb 24 20:36:43 2026 commencing cycle optimization
  129. Tue Feb 24 20:36:55 2026 start with 52432246 relations
  130. Tue Feb 24 20:37:51 2026 pruned 1433519 relations
  131. Tue Feb 24 20:37:51 2026 memory use: 1683.5 MB
  132. Tue Feb 24 20:37:52 2026 distribution of cycle lengths:
  133. Tue Feb 24 20:37:52 2026 1 relations: 721220
  134. Tue Feb 24 20:37:52 2026 2 relations: 833720
  135. Tue Feb 24 20:37:52 2026 3 relations: 900458
  136. Tue Feb 24 20:37:52 2026 4 relations: 884869
  137. Tue Feb 24 20:37:52 2026 5 relations: 856123
  138. Tue Feb 24 20:37:52 2026 6 relations: 804344
  139. Tue Feb 24 20:37:52 2026 7 relations: 733019
  140. Tue Feb 24 20:37:52 2026 8 relations: 637371
  141. Tue Feb 24 20:37:52 2026 9 relations: 540343
  142. Tue Feb 24 20:37:52 2026 10+ relations: 1527992
  143. Tue Feb 24 20:37:52 2026 heaviest cycle: 19 relations
  144. Tue Feb 24 20:38:03 2026
  145. Tue Feb 24 20:38:03 2026 trying target density 100
  146. Tue Feb 24 20:38:03 2026 commencing full merge
  147. Tue Feb 24 20:41:55 2026 memory use: 1865.8 MB
  148. Tue Feb 24 20:41:57 2026 found 8149029 cycles, need 7979459
  149. Tue Feb 24 20:42:00 2026 weight of 7979459 cycles is about 798198825 (100.03/cycle)
  150. Tue Feb 24 20:42:00 2026 distribution of cycle lengths:
  151. Tue Feb 24 20:42:00 2026 1 relations: 514160
  152. Tue Feb 24 20:42:00 2026 2 relations: 629650
  153. Tue Feb 24 20:42:00 2026 3 relations: 694568
  154. Tue Feb 24 20:42:00 2026 4 relations: 695878
  155. Tue Feb 24 20:42:00 2026 5 relations: 692248
  156. Tue Feb 24 20:42:00 2026 6 relations: 667401
  157. Tue Feb 24 20:42:00 2026 7 relations: 639866
  158. Tue Feb 24 20:42:00 2026 8 relations: 590462
  159. Tue Feb 24 20:42:00 2026 9 relations: 533185
  160. Tue Feb 24 20:42:00 2026 10+ relations: 2322041
  161. Tue Feb 24 20:42:00 2026 heaviest cycle: 22 relations
  162. Tue Feb 24 20:42:01 2026 target density 100 succeeded, avg weight 100.03
  163. Tue Feb 24 20:42:02 2026 commencing cycle optimization
  164. Tue Feb 24 20:42:18 2026 start with 58175657 relations
  165. Tue Feb 24 20:44:04 2026 pruned 1922215 relations
  166. Tue Feb 24 20:44:05 2026 memory use: 1743.9 MB
  167. Tue Feb 24 20:44:05 2026 distribution of cycle lengths:
  168. Tue Feb 24 20:44:05 2026 1 relations: 514160
  169. Tue Feb 24 20:44:05 2026 2 relations: 645053
  170. Tue Feb 24 20:44:05 2026 3 relations: 721637
  171. Tue Feb 24 20:44:05 2026 4 relations: 720400
  172. Tue Feb 24 20:44:05 2026 5 relations: 719622
  173. Tue Feb 24 20:44:05 2026 6 relations: 691451
  174. Tue Feb 24 20:44:05 2026 7 relations: 662725
  175. Tue Feb 24 20:44:05 2026 8 relations: 607340
  176. Tue Feb 24 20:44:05 2026 9 relations: 545010
  177. Tue Feb 24 20:44:05 2026 10+ relations: 2152061
  178. Tue Feb 24 20:44:05 2026 heaviest cycle: 22 relations
  179. Tue Feb 24 20:44:21 2026
  180. Tue Feb 24 20:44:21 2026 trying target density 115
  181. Tue Feb 24 20:44:21 2026 commencing full merge
  182. Tue Feb 24 20:49:55 2026 memory use: 1893.0 MB
  183. Tue Feb 24 20:49:58 2026 found 7765774 cycles, need 7625459
  184. Tue Feb 24 20:50:00 2026 weight of 7625459 cycles is about 877225336 (115.04/cycle)
  185. Tue Feb 24 20:50:00 2026 distribution of cycle lengths:
  186. Tue Feb 24 20:50:00 2026 1 relations: 376645
  187. Tue Feb 24 20:50:00 2026 2 relations: 502254
  188. Tue Feb 24 20:50:00 2026 3 relations: 566048
  189. Tue Feb 24 20:50:00 2026 4 relations: 578687
  190. Tue Feb 24 20:50:00 2026 5 relations: 590248
  191. Tue Feb 24 20:50:00 2026 6 relations: 573635
  192. Tue Feb 24 20:50:00 2026 7 relations: 563657
  193. Tue Feb 24 20:50:00 2026 8 relations: 534264
  194. Tue Feb 24 20:50:00 2026 9 relations: 502768
  195. Tue Feb 24 20:50:00 2026 10+ relations: 2837253
  196. Tue Feb 24 20:50:00 2026 heaviest cycle: 27 relations
  197. Tue Feb 24 20:50:03 2026 target density 115 succeeded, avg weight 115.04
  198. Tue Feb 24 20:50:03 2026 commencing cycle optimization
  199. Tue Feb 24 20:50:30 2026 start with 63755101 relations
  200. Tue Feb 24 20:54:01 2026 pruned 2435254 relations
  201. Tue Feb 24 20:54:02 2026 memory use: 1801.0 MB
  202. Tue Feb 24 20:54:02 2026 distribution of cycle lengths:
  203. Tue Feb 24 20:54:02 2026 1 relations: 376645
  204. Tue Feb 24 20:54:02 2026 2 relations: 515131
  205. Tue Feb 24 20:54:02 2026 3 relations: 589039
  206. Tue Feb 24 20:54:02 2026 4 relations: 601201
  207. Tue Feb 24 20:54:02 2026 5 relations: 615827
  208. Tue Feb 24 20:54:02 2026 6 relations: 597933
  209. Tue Feb 24 20:54:02 2026 7 relations: 588245
  210. Tue Feb 24 20:54:02 2026 8 relations: 555159
  211. Tue Feb 24 20:54:02 2026 9 relations: 520977
  212. Tue Feb 24 20:54:02 2026 10+ relations: 2665302
  213. Tue Feb 24 20:54:02 2026 heaviest cycle: 26 relations
  214. Tue Feb 24 20:54:25 2026
  215. Tue Feb 24 20:54:25 2026 trying target density 130
  216. Tue Feb 24 20:54:25 2026 commencing full merge
  217. Tue Feb 24 21:04:21 2026 memory use: 1906.6 MB
  218. Tue Feb 24 21:04:24 2026 found 7424485 cycles, need 7341459
  219. Tue Feb 24 21:04:28 2026 weight of 7341459 cycles is about 954975006 (130.08/cycle)
  220. Tue Feb 24 21:04:28 2026 distribution of cycle lengths:
  221. Tue Feb 24 21:04:28 2026 1 relations: 283247
  222. Tue Feb 24 21:04:28 2026 2 relations: 409295
  223. Tue Feb 24 21:04:28 2026 3 relations: 472196
  224. Tue Feb 24 21:04:28 2026 4 relations: 488946
  225. Tue Feb 24 21:04:28 2026 5 relations: 505016
  226. Tue Feb 24 21:04:28 2026 6 relations: 503511
  227. Tue Feb 24 21:04:28 2026 7 relations: 493328
  228. Tue Feb 24 21:04:28 2026 8 relations: 482988
  229. Tue Feb 24 21:04:28 2026 9 relations: 459671
  230. Tue Feb 24 21:04:28 2026 10+ relations: 3243261
  231. Tue Feb 24 21:04:28 2026 heaviest cycle: 28 relations
  232. Tue Feb 24 21:04:31 2026 target density 130 succeeded, avg weight 130.08
  233. Tue Feb 24 21:04:31 2026 commencing cycle optimization
  234. Tue Feb 24 21:05:01 2026 start with 69188499 relations
  235. Tue Feb 24 21:09:04 2026 pruned 2964027 relations
  236. Tue Feb 24 21:09:05 2026 memory use: 1855.5 MB
  237. Tue Feb 24 21:09:05 2026 distribution of cycle lengths:
  238. Tue Feb 24 21:09:05 2026 1 relations: 283247
  239. Tue Feb 24 21:09:05 2026 2 relations: 420153
  240. Tue Feb 24 21:09:05 2026 3 relations: 491871
  241. Tue Feb 24 21:09:05 2026 4 relations: 508985
  242. Tue Feb 24 21:09:05 2026 5 relations: 528920
  243. Tue Feb 24 21:09:05 2026 6 relations: 526276
  244. Tue Feb 24 21:09:05 2026 7 relations: 518050
  245. Tue Feb 24 21:09:05 2026 8 relations: 504910
  246. Tue Feb 24 21:09:05 2026 9 relations: 481338
  247. Tue Feb 24 21:09:05 2026 10+ relations: 3077709
  248. Tue Feb 24 21:09:05 2026 heaviest cycle: 28 relations
  249. Tue Feb 24 21:09:28 2026 RelProcTime: 3912
  250. Tue Feb 24 21:09:28 2026
  251. Tue Feb 24 21:09:28 2026 commencing linear algebra
  252. Tue Feb 24 21:09:28 2026 using VBITS=256
  253. Tue Feb 24 21:09:28 2026 building matrices for all .cyc.## files
  254. Tue Feb 24 21:09:28 2026
  255. Tue Feb 24 21:09:28 2026 building matrix for density 100
  256. Tue Feb 24 21:09:31 2026 read 7979459 cycles
  257. Tue Feb 24 21:09:50 2026 cycles contain 27358343 unique relations
  258. Tue Feb 24 21:15:11 2026 read 27358343 relations
  259. Tue Feb 24 21:15:23 2026 using 20 quadratic characters above 4294917295
  260. Tue Feb 24 21:15:41 2026 building initial matrix
  261. Tue Feb 24 21:21:51 2026 memory use: 3726.2 MB
  262. Tue Feb 24 21:22:00 2026 read 7979459 cycles
  263. Tue Feb 24 21:22:01 2026 matrix is 7979275 x 7979459 (3252.7 MB) with weight 1001129758 (125.46/col)
  264. Tue Feb 24 21:22:01 2026 sparse part has weight 756922146 (94.86/col)
  265. Tue Feb 24 21:23:28 2026 filtering completed in 2 passes
  266. Tue Feb 24 21:23:31 2026 matrix is 7977218 x 7977402 (3252.5 MB) with weight 1001027713 (125.48/col)
  267. Tue Feb 24 21:23:31 2026 sparse part has weight 756884650 (94.88/col)
  268. Tue Feb 24 21:23:51 2026
  269. Tue Feb 24 21:23:51 2026 building matrix for density 115
  270. Tue Feb 24 21:23:52 2026 read 7625459 cycles
  271. Tue Feb 24 21:24:10 2026 cycles contain 27364823 unique relations
  272. Tue Feb 24 21:25:22 2026 read 27364823 relations
  273. Tue Feb 24 21:25:34 2026 using 20 quadratic characters above 4294917295
  274. Tue Feb 24 21:25:52 2026 building initial matrix
  275. Tue Feb 24 21:33:18 2026 memory use: 3735.5 MB
  276. Tue Feb 24 21:33:25 2026 read 7625459 cycles
  277. Tue Feb 24 21:33:26 2026 matrix is 7625276 x 7625459 (3489.4 MB) with weight 1066495382 (139.86/col)
  278. Tue Feb 24 21:33:26 2026 sparse part has weight 823209240 (107.96/col)
  279. Tue Feb 24 21:35:25 2026 filtering completed in 2 passes
  280. Tue Feb 24 21:35:28 2026 matrix is 7624167 x 7624350 (3489.2 MB) with weight 1066434948 (139.87/col)
  281. Tue Feb 24 21:35:28 2026 sparse part has weight 823185545 (107.97/col)
  282. Tue Feb 24 21:35:52 2026
  283. Tue Feb 24 21:35:52 2026 building matrix for density 130
  284. Tue Feb 24 21:35:53 2026 read 7341459 cycles
  285. Tue Feb 24 21:36:15 2026 cycles contain 27367408 unique relations
  286. Tue Feb 24 21:37:59 2026 read 27367408 relations
  287. Tue Feb 24 21:38:11 2026 using 20 quadratic characters above 4294917295
  288. Tue Feb 24 21:38:30 2026 building initial matrix
  289. Tue Feb 24 21:45:59 2026 memory use: 3745.8 MB
  290. Tue Feb 24 21:46:03 2026 read 7341459 cycles
  291. Tue Feb 24 21:46:04 2026 matrix is 7341281 x 7341459 (3721.2 MB) with weight 1129972540 (153.92/col)
  292. Tue Feb 24 21:46:04 2026 sparse part has weight 887390860 (120.87/col)
  293. Tue Feb 24 21:47:58 2026 filtering completed in 2 passes
  294. Tue Feb 24 21:48:01 2026 matrix is 7340847 x 7341024 (3721.1 MB) with weight 1129947284 (153.92/col)
  295. Tue Feb 24 21:48:01 2026 sparse part has weight 887381440 (120.88/col)
  296. Tue Feb 24 21:48:24 2026
  297. Tue Feb 24 21:48:24 2026 building matrix for density 85
  298. Tue Feb 24 21:48:27 2026 read 8439459 cycles
  299. Tue Feb 24 21:48:42 2026 cycles contain 27346900 unique relations
  300. Tue Feb 24 21:49:35 2026 read 27346900 relations
  301. Tue Feb 24 21:49:45 2026 using 20 quadratic characters above 4294917295
  302. Tue Feb 24 21:50:03 2026 building initial matrix
  303. Tue Feb 24 21:56:06 2026 memory use: 3718.9 MB
  304. Tue Feb 24 21:56:09 2026 read 8439459 cycles
  305. Tue Feb 24 21:56:10 2026 matrix is 8439275 x 8439459 (3012.4 MB) with weight 933989941 (110.67/col)
  306. Tue Feb 24 21:56:10 2026 sparse part has weight 688410828 (81.57/col)
  307. Tue Feb 24 21:57:42 2026 filtering completed in 2 passes
  308. Tue Feb 24 21:57:45 2026 matrix is 8435784 x 8435968 (3012.1 MB) with weight 933839644 (110.70/col)
  309. Tue Feb 24 21:57:45 2026 sparse part has weight 688361790 (81.60/col)
  310. Tue Feb 24 21:58:09 2026 BLanczosTime: 2921
  311. Tue Feb 24 21:58:09 2026 elapsed time 01:53:54
  312. Tue Feb 24 22:05:35 2026
  313. Tue Feb 24 22:05:35 2026
  314. Tue Feb 24 22:05:35 2026 Msieve v. 1.54 (SVN Unversioned directory)
  315. Tue Feb 24 22:05:35 2026 random seeds: c882ff47 2c7a3660
  316. Tue Feb 24 22:05:35 2026 Using 8 OpenMP threads
  317. Tue Feb 24 22:05:35 2026 factoring 82157190681202670359788206103449741782277417978838832391896431409102178129110794367501108638198505808851815723436489210165962594861803586713868867591986992241660143651 (167 digits)
  318. Tue Feb 24 22:05:36 2026 searching for 15-digit factors
  319. Tue Feb 24 22:05:36 2026 commencing number field sieve (167-digit input)
  320. Tue Feb 24 22:05:36 2026 R0: -287841790004517247094089609096543
  321. Tue Feb 24 22:05:36 2026 R1: 90486870637366487167
  322. Tue Feb 24 22:05:36 2026 A0: -268391456468106864338195178554352691800
  323. Tue Feb 24 22:05:36 2026 A1: 3261933861459317034860688637888170
  324. Tue Feb 24 22:05:36 2026 A2: 716060292384208021285614051
  325. Tue Feb 24 22:05:36 2026 A3: 12175196137319968901
  326. Tue Feb 24 22:05:36 2026 A4: -2478590481577
  327. Tue Feb 24 22:05:36 2026 A5: 41580
  328. Tue Feb 24 22:05:36 2026 skew 16257571.70, size 3.720e-16, alpha -6.455, combined = 6.285e-13 rroots = 5
  329. Tue Feb 24 22:05:36 2026
  330. Tue Feb 24 22:05:36 2026 commencing linear algebra
  331. Tue Feb 24 22:05:36 2026 using VBITS=256
  332. Tue Feb 24 22:05:36 2026 selected density 130 for linear algebra
  333. Tue Feb 24 22:05:38 2026 matrix starts at (0, 0)
  334. Tue Feb 24 22:05:39 2026 matrix is 7340847 x 7341024 (3721.1 MB) with weight 1129947284 (153.92/col)
  335. Tue Feb 24 22:05:39 2026 sparse part has weight 887381440 (120.88/col)
  336. Tue Feb 24 22:05:39 2026 saving the first 240 matrix rows for later
  337. Tue Feb 24 22:05:41 2026 matrix includes 256 packed rows
  338. Tue Feb 24 22:05:43 2026 matrix is 7340607 x 7341024 (3339.0 MB) with weight 808331019 (110.11/col)
  339. Tue Feb 24 22:05:43 2026 sparse part has weight 757831658 (103.23/col)
  340. Tue Feb 24 22:05:44 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  341. Tue Feb 24 22:05:44 2026 selected card has CUDA arch 12.0
  342. Tue Feb 24 22:07:20 2026 commencing Lanczos iteration
  343. Tue Feb 24 22:07:22 2026 memory use: 7630.1 MB
  344. Tue Feb 24 22:07:46 2026 linear algebra at 0.4%, ETA 1h31m
  345. Tue Feb 24 22:08:21 2026 checking every 70000 dimensions, checkpointing every 4830000 dimensions
  346. Tue Feb 24 23:38:21 2026 lanczos halted after 28761 iterations (dim = 7340606)
  347. Tue Feb 24 23:38:50 2026 recovered 32 nontrivial dependencies
  348. Tue Feb 24 23:38:50 2026 BLanczosTime: 5594
  349. Tue Feb 24 23:38:50 2026
  350. Tue Feb 24 23:38:50 2026 commencing square root phase
  351. Tue Feb 24 23:38:50 2026 handling dependencies 1 to 64
  352. Tue Feb 24 23:38:50 2026 reading relations for dependency 1
  353. Tue Feb 24 23:38:51 2026 read 3668038 cycles
  354. Tue Feb 24 23:39:00 2026 cycles contain 13682332 unique relations
  355. Tue Feb 24 23:43:48 2026 read 13682332 relations
  356. Tue Feb 24 23:45:00 2026 multiplying 13682332 relations
  357. Tue Feb 24 23:46:52 2026 multiply complete, coefficients have about 713.58 million bits
  358. Tue Feb 24 23:46:55 2026 initial square root is modulo 2523151
  359. Tue Feb 24 23:51:21 2026 GCD is N, no factor found
  360. Tue Feb 24 23:51:21 2026 reading relations for dependency 2
  361. Tue Feb 24 23:51:21 2026 read 3668819 cycles
  362. Tue Feb 24 23:51:30 2026 cycles contain 13682384 unique relations
  363. Tue Feb 24 23:52:18 2026 read 13682384 relations
  364. Tue Feb 24 23:53:30 2026 multiplying 13682384 relations
  365. Tue Feb 24 23:55:22 2026 multiply complete, coefficients have about 713.58 million bits
  366. Tue Feb 24 23:55:25 2026 initial square root is modulo 2522827
  367. Tue Feb 24 23:59:50 2026 GCD is N, no factor found
  368. Tue Feb 24 23:59:50 2026 reading relations for dependency 3
  369. Tue Feb 24 23:59:50 2026 read 3671399 cycles
  370. Tue Feb 24 23:59:59 2026 cycles contain 13685598 unique relations
  371. Wed Feb 25 00:00:36 2026 read 13685598 relations
  372. Wed Feb 25 00:01:44 2026 multiplying 13685598 relations
  373. Wed Feb 25 00:03:33 2026 multiply complete, coefficients have about 713.75 million bits
  374. Wed Feb 25 00:03:36 2026 initial square root is modulo 2531689
  375. Wed Feb 25 00:07:38 2026 sqrtTime: 1728
  376. Wed Feb 25 00:07:38 2026 p80 factor: 11492314680861693146547435672418240346745034990283706057666583871449413792946151
  377. Wed Feb 25 00:07:38 2026 p88 factor: 7148881053354738851497374315024697243138500734580023117643936568500208277523667958822501
  378. Wed Feb 25 00:07:38 2026 elapsed time 02:02:03
  379.  
Tags: math
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