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kyleaskine
May 7th, 2026
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  1. Wed May 6 15:25:35 2026
  2. Wed May 6 15:25:35 2026
  3. Wed May 6 15:25:35 2026 Msieve v. 1.54 (SVN unknown)
  4. Wed May 6 15:25:35 2026 random seeds: a6cb7a94 4eb76f23
  5. Wed May 6 15:25:35 2026 Using 14 OpenMP threads
  6. Wed May 6 15:25:35 2026 factoring 3584787195623240659732793514511317058406904775143036127573865113797862379397298333283519338644925443985070299419014776515620078954685845369782321772735695220909558225441113122555871 (181 digits)
  7. Wed May 6 15:25:35 2026 no P-1/P+1/ECM available, skipping
  8. Wed May 6 15:25:35 2026 commencing number field sieve (181-digit input)
  9. Wed May 6 15:25:35 2026 R0: -166853192784402817645534144722586881
  10. Wed May 6 15:25:35 2026 R1: 4080185501205291756589
  11. Wed May 6 15:25:35 2026 A0: -5044085634502995871854254954949635662819760
  12. Wed May 6 15:25:35 2026 A1: 5034733731429819694480217267024647355
  13. Wed May 6 15:25:35 2026 A2: 88703556959593790559098553059
  14. Wed May 6 15:25:35 2026 A3: -1116860873668773246017
  15. Wed May 6 15:25:35 2026 A4: -6403619752482
  16. Wed May 6 15:25:35 2026 A5: 27720
  17. Wed May 6 15:25:35 2026 skew 111409745.30, size 1.798e-17, alpha -7.421, combined = 1.049e-13 rroots = 5
  18. Wed May 6 15:25:35 2026
  19. Wed May 6 15:25:35 2026 commencing relation filtering
  20. Wed May 6 15:25:35 2026 setting 3 target densities:Wed May 6 15:25:35 2026 80Wed May 6 15:25:35 2026 100Wed May 6 15:25:35 2026 120Wed May 6 15:25:35 2026
  21. Wed May 6 15:25:35 2026 estimated available RAM is 78540.1 MB
  22. Wed May 6 15:25:35 2026 commencing duplicate removal, pass 1
  23. Wed May 6 15:25:41 2026 error -1 reading relation 6332896
  24. Wed May 6 15:26:28 2026 error -1 reading relation 67994470
  25. Wed May 6 15:26:35 2026 error -1 reading relation 76547345
  26. Wed May 6 15:27:14 2026 error -1 reading relation 126246691
  27. Wed May 6 15:27:17 2026 error -1 reading relation 133274356
  28. Wed May 6 15:27:26 2026 error -1 reading relation 143821332
  29. Wed May 6 15:27:41 2026 error -1 reading relation 161825890
  30. Wed May 6 15:28:12 2026 error -1 reading relation 200648659
  31. Wed May 6 15:28:18 2026 error -15 reading relation 210711513
  32. Wed May 6 15:28:24 2026 error -1 reading relation 217169959
  33. Wed May 6 15:28:25 2026 error -1 reading relation 218875150
  34. Wed May 6 15:28:29 2026 error -1 reading relation 222740383
  35. Wed May 6 15:28:45 2026 error -1 reading relation 241894734
  36. Wed May 6 15:28:46 2026 error -1 reading relation 247131113
  37. Wed May 6 15:28:56 2026 error -1 reading relation 258647435
  38. Wed May 6 15:29:06 2026 error -1 reading relation 270582860
  39. Wed May 6 15:29:07 2026 error -1 reading relation 272147868
  40. Wed May 6 15:29:13 2026 error -1 reading relation 281884157
  41. Wed May 6 15:29:24 2026 error -1 reading relation 296004520
  42. Wed May 6 15:29:25 2026 error -1 reading relation 296801740
  43. Wed May 6 15:29:25 2026 error -1 reading relation 296824917
  44. Wed May 6 15:29:25 2026 error -1 reading relation 297463190
  45. Wed May 6 15:29:36 2026 error -1 reading relation 311282225
  46. Wed May 6 15:29:50 2026 skipped 1 relations with composite factors
  47. Wed May 6 15:29:50 2026 skipped 122 malformed relations
  48. Wed May 6 15:29:50 2026 found 76477829 hash collisions in 331002433 relations
  49. Wed May 6 15:30:03 2026 added 122135 free relations
  50. Wed May 6 15:30:03 2026 commencing duplicate removal, pass 2
  51. Wed May 6 15:32:09 2026 found 84382462 duplicates and 246742106 unique relations
  52. Wed May 6 15:32:09 2026 memory use: 1705.5 MB
  53. Wed May 6 15:32:09 2026 reading ideals above 720000
  54. Wed May 6 15:32:09 2026 commencing singleton removal, initial pass
  55. Wed May 6 15:46:27 2026 memory use: 6024.0 MB
  56. Wed May 6 15:46:27 2026 reading all ideals from disk
  57. Wed May 6 15:46:33 2026 memory use: 11849.9 MB
  58. Wed May 6 15:47:02 2026 keeping 244241289 ideals with weight <= 200, target excess is 1298455
  59. Wed May 6 15:47:18 2026 commencing in-memory singleton removal
  60. Wed May 6 15:47:21 2026 begin with 246742106 relations and 244241289 unique ideals
  61. Wed May 6 15:47:43 2026 reduce to 137821803 relations and 122443066 ideals in 18 passes
  62. Wed May 6 15:47:43 2026 max relations containing the same ideal: 146
  63. Wed May 6 15:48:19 2026 removing 14040845 relations and 12040845 ideals in 2000000 cliques
  64. Wed May 6 15:48:22 2026 commencing in-memory singleton removal
  65. Wed May 6 15:48:23 2026 begin with 123780958 relations and 122443066 unique ideals
  66. Wed May 6 15:48:33 2026 reduce to 122561996 relations and 109159318 ideals in 11 passes
  67. Wed May 6 15:48:33 2026 max relations containing the same ideal: 135
  68. Wed May 6 15:49:06 2026 removing 10716448 relations and 8716448 ideals in 2000000 cliques
  69. Wed May 6 15:49:09 2026 commencing in-memory singleton removal
  70. Wed May 6 15:49:10 2026 begin with 111845548 relations and 109159318 unique ideals
  71. Wed May 6 15:49:16 2026 reduce to 111025398 relations and 99608872 ideals in 10 passes
  72. Wed May 6 15:49:16 2026 max relations containing the same ideal: 124
  73. Wed May 6 15:49:47 2026 removing 9729241 relations and 7729241 ideals in 2000000 cliques
  74. Wed May 6 15:49:50 2026 commencing in-memory singleton removal
  75. Wed May 6 15:49:51 2026 begin with 101296157 relations and 99608872 unique ideals
  76. Wed May 6 15:49:57 2026 reduce to 100542491 relations and 91112788 ideals in 10 passes
  77. Wed May 6 15:49:57 2026 max relations containing the same ideal: 117
  78. Wed May 6 15:50:23 2026 removing 9271412 relations and 7271412 ideals in 2000000 cliques
  79. Wed May 6 15:50:26 2026 commencing in-memory singleton removal
  80. Wed May 6 15:50:27 2026 begin with 91271079 relations and 91112788 unique ideals
  81. Wed May 6 15:50:33 2026 reduce to 90513939 relations and 83070184 ideals in 11 passes
  82. Wed May 6 15:50:33 2026 max relations containing the same ideal: 110
  83. Wed May 6 15:50:57 2026 removing 9037653 relations and 7037653 ideals in 2000000 cliques
  84. Wed May 6 15:50:59 2026 commencing in-memory singleton removal
  85. Wed May 6 15:51:00 2026 begin with 81476286 relations and 83070184 unique ideals
  86. Wed May 6 15:51:05 2026 reduce to 80674280 relations and 75214390 ideals in 9 passes
  87. Wed May 6 15:51:05 2026 max relations containing the same ideal: 102
  88. Wed May 6 15:51:26 2026 removing 8950312 relations and 6950312 ideals in 2000000 cliques
  89. Wed May 6 15:51:28 2026 commencing in-memory singleton removal
  90. Wed May 6 15:51:29 2026 begin with 71723968 relations and 75214390 unique ideals
  91. Wed May 6 15:51:33 2026 reduce to 70829343 relations and 67349729 ideals in 9 passes
  92. Wed May 6 15:51:33 2026 max relations containing the same ideal: 92
  93. Wed May 6 15:51:52 2026 removing 8884456 relations and 6911050 ideals in 1973406 cliques
  94. Wed May 6 15:51:54 2026 commencing in-memory singleton removal
  95. Wed May 6 15:51:54 2026 begin with 61944887 relations and 67349729 unique ideals
  96. Wed May 6 15:51:58 2026 reduce to 60922658 relations and 59391095 ideals in 10 passes
  97. Wed May 6 15:51:58 2026 max relations containing the same ideal: 84
  98. Wed May 6 15:52:14 2026 removing 259245 relations and 233890 ideals in 25355 cliques
  99. Wed May 6 15:52:15 2026 commencing in-memory singleton removal
  100. Wed May 6 15:52:16 2026 begin with 60663413 relations and 59391095 unique ideals
  101. Wed May 6 15:52:18 2026 reduce to 60662626 relations and 59156418 ideals in 6 passes
  102. Wed May 6 15:52:18 2026 max relations containing the same ideal: 84
  103. Wed May 6 15:52:19 2026 trying target density 80
  104. Wed May 6 15:52:23 2026 relations with 0 large ideals: 4848
  105. Wed May 6 15:52:23 2026 relations with 1 large ideals: 27959
  106. Wed May 6 15:52:23 2026 relations with 2 large ideals: 389717
  107. Wed May 6 15:52:23 2026 relations with 3 large ideals: 2345448
  108. Wed May 6 15:52:23 2026 relations with 4 large ideals: 7600262
  109. Wed May 6 15:52:23 2026 relations with 5 large ideals: 14563981
  110. Wed May 6 15:52:23 2026 relations with 6 large ideals: 17057440
  111. Wed May 6 15:52:23 2026 relations with 7+ large ideals: 18672971
  112. Wed May 6 15:52:23 2026 commencing 2-way merge
  113. Wed May 6 15:52:49 2026 reduce to 36641158 relation sets and 35134950 unique ideals
  114. Wed May 6 15:52:49 2026 commencing full merge
  115. Wed May 6 15:58:29 2026 memory use: 3804.2 MB
  116. Wed May 6 15:58:32 2026 found 18700383 cycles, need 18495150
  117. Wed May 6 15:58:36 2026 weight of 18495150 cycles is about 1479764301 (80.01/cycle)
  118. Wed May 6 15:58:36 2026 distribution of cycle lengths:
  119. Wed May 6 15:58:36 2026 1 relations: 2205445
  120. Wed May 6 15:58:36 2026 2 relations: 2101934
  121. Wed May 6 15:58:36 2026 3 relations: 2192971
  122. Wed May 6 15:58:36 2026 4 relations: 2036820
  123. Wed May 6 15:58:36 2026 5 relations: 1844557
  124. Wed May 6 15:58:36 2026 6 relations: 1654941
  125. Wed May 6 15:58:36 2026 7 relations: 1446309
  126. Wed May 6 15:58:36 2026 8 relations: 1212013
  127. Wed May 6 15:58:36 2026 9 relations: 986980
  128. Wed May 6 15:58:36 2026 10+ relations: 2813180
  129. Wed May 6 15:58:36 2026 heaviest cycle: 20 relations
  130. Wed May 6 15:58:40 2026 commencing cycle optimization
  131. Wed May 6 15:59:00 2026 start with 102813767 relations
  132. Wed May 6 16:00:29 2026 pruned 2168847 relations
  133. Wed May 6 16:00:31 2026 memory use: 3513.5 MB
  134. Wed May 6 16:00:31 2026 distribution of cycle lengths:
  135. Wed May 6 16:00:31 2026 1 relations: 2205445
  136. Wed May 6 16:00:31 2026 2 relations: 2149133
  137. Wed May 6 16:00:31 2026 3 relations: 2263991
  138. Wed May 6 16:00:31 2026 4 relations: 2080235
  139. Wed May 6 16:00:31 2026 5 relations: 1885705
  140. Wed May 6 16:00:31 2026 6 relations: 1675246
  141. Wed May 6 16:00:31 2026 7 relations: 1455968
  142. Wed May 6 16:00:31 2026 8 relations: 1206009
  143. Wed May 6 16:00:31 2026 9 relations: 972879
  144. Wed May 6 16:00:31 2026 10+ relations: 2600539
  145. Wed May 6 16:00:31 2026 heaviest cycle: 19 relations
  146. Wed May 6 16:00:52 2026 trying target density 100
  147. Wed May 6 16:00:57 2026 relations with 0 large ideals: 4848
  148. Wed May 6 16:00:57 2026 relations with 1 large ideals: 27959
  149. Wed May 6 16:00:57 2026 relations with 2 large ideals: 389717
  150. Wed May 6 16:00:57 2026 relations with 3 large ideals: 2345448
  151. Wed May 6 16:00:57 2026 relations with 4 large ideals: 7600262
  152. Wed May 6 16:00:57 2026 relations with 5 large ideals: 14563981
  153. Wed May 6 16:00:57 2026 relations with 6 large ideals: 17057440
  154. Wed May 6 16:00:57 2026 relations with 7+ large ideals: 18672971
  155. Wed May 6 16:00:57 2026 commencing 2-way merge
  156. Wed May 6 16:01:21 2026 reduce to 36641158 relation sets and 35134950 unique ideals
  157. Wed May 6 16:01:21 2026 commencing full merge
  158. Wed May 6 16:08:32 2026 memory use: 3866.3 MB
  159. Wed May 6 16:08:36 2026 found 17091560 cycles, need 16915150
  160. Wed May 6 16:08:41 2026 weight of 16915150 cycles is about 1691772178 (100.02/cycle)
  161. Wed May 6 16:08:41 2026 distribution of cycle lengths:
  162. Wed May 6 16:08:41 2026 1 relations: 1634149
  163. Wed May 6 16:08:41 2026 2 relations: 1517346
  164. Wed May 6 16:08:41 2026 3 relations: 1571244
  165. Wed May 6 16:08:41 2026 4 relations: 1516479
  166. Wed May 6 16:08:41 2026 5 relations: 1440813
  167. Wed May 6 16:08:41 2026 6 relations: 1364959
  168. Wed May 6 16:08:41 2026 7 relations: 1243268
  169. Wed May 6 16:08:41 2026 8 relations: 1122436
  170. Wed May 6 16:08:41 2026 9 relations: 1003167
  171. Wed May 6 16:08:41 2026 10+ relations: 4501289
  172. Wed May 6 16:08:41 2026 heaviest cycle: 25 relations
  173. Wed May 6 16:08:41 2026 commencing cycle optimization
  174. Wed May 6 16:09:08 2026 start with 117249985 relations
  175. Wed May 6 16:11:25 2026 pruned 3335634 relations
  176. Wed May 6 16:11:27 2026 memory use: 3659.3 MB
  177. Wed May 6 16:11:27 2026 distribution of cycle lengths:
  178. Wed May 6 16:11:27 2026 1 relations: 1634149
  179. Wed May 6 16:11:27 2026 2 relations: 1555463
  180. Wed May 6 16:11:27 2026 3 relations: 1629646
  181. Wed May 6 16:11:27 2026 4 relations: 1560767
  182. Wed May 6 16:11:27 2026 5 relations: 1488005
  183. Wed May 6 16:11:27 2026 6 relations: 1396534
  184. Wed May 6 16:11:27 2026 7 relations: 1272463
  185. Wed May 6 16:11:27 2026 8 relations: 1140452
  186. Wed May 6 16:11:27 2026 9 relations: 1011545
  187. Wed May 6 16:11:27 2026 10+ relations: 4226126
  188. Wed May 6 16:11:27 2026 heaviest cycle: 24 relations
  189. Wed May 6 16:11:49 2026 trying target density 120
  190. Wed May 6 16:11:53 2026 relations with 0 large ideals: 4848
  191. Wed May 6 16:11:53 2026 relations with 1 large ideals: 27959
  192. Wed May 6 16:11:53 2026 relations with 2 large ideals: 389717
  193. Wed May 6 16:11:53 2026 relations with 3 large ideals: 2345448
  194. Wed May 6 16:11:53 2026 relations with 4 large ideals: 7600262
  195. Wed May 6 16:11:53 2026 relations with 5 large ideals: 14563981
  196. Wed May 6 16:11:53 2026 relations with 6 large ideals: 17057440
  197. Wed May 6 16:11:53 2026 relations with 7+ large ideals: 18672971
  198. Wed May 6 16:11:53 2026 commencing 2-way merge
  199. Wed May 6 16:12:19 2026 reduce to 36641158 relation sets and 35134950 unique ideals
  200. Wed May 6 16:12:19 2026 commencing full merge
  201. Wed May 6 16:20:49 2026 memory use: 3900.8 MB
  202. Wed May 6 16:20:52 2026 found 15898760 cycles, need 15827150
  203. Wed May 6 16:20:56 2026 weight of 15827150 cycles is about 1899405197 (120.01/cycle)
  204. Wed May 6 16:20:56 2026 distribution of cycle lengths:
  205. Wed May 6 16:20:56 2026 1 relations: 1303722
  206. Wed May 6 16:20:56 2026 2 relations: 1171946
  207. Wed May 6 16:20:56 2026 3 relations: 1210276
  208. Wed May 6 16:20:56 2026 4 relations: 1181987
  209. Wed May 6 16:20:56 2026 5 relations: 1155638
  210. Wed May 6 16:20:56 2026 6 relations: 1115096
  211. Wed May 6 16:20:56 2026 7 relations: 1058794
  212. Wed May 6 16:20:56 2026 8 relations: 996112
  213. Wed May 6 16:20:56 2026 9 relations: 915871
  214. Wed May 6 16:20:56 2026 10+ relations: 5717708
  215. Wed May 6 16:20:56 2026 heaviest cycle: 28 relations
  216. Wed May 6 16:20:58 2026 commencing cycle optimization
  217. Wed May 6 16:21:25 2026 start with 131097052 relations
  218. Wed May 6 16:24:32 2026 pruned 4583390 relations
  219. Wed May 6 16:24:32 2026 memory use: 3795.8 MB
  220. Wed May 6 16:24:33 2026 distribution of cycle lengths:
  221. Wed May 6 16:24:33 2026 1 relations: 1303722
  222. Wed May 6 16:24:33 2026 2 relations: 1202679
  223. Wed May 6 16:24:33 2026 3 relations: 1257670
  224. Wed May 6 16:24:33 2026 4 relations: 1222153
  225. Wed May 6 16:24:33 2026 5 relations: 1201479
  226. Wed May 6 16:24:33 2026 6 relations: 1150927
  227. Wed May 6 16:24:33 2026 7 relations: 1096149
  228. Wed May 6 16:24:33 2026 8 relations: 1023823
  229. Wed May 6 16:24:33 2026 9 relations: 937862
  230. Wed May 6 16:24:33 2026 10+ relations: 5430686
  231. Wed May 6 16:24:33 2026 heaviest cycle: 28 relations
  232. Wed May 6 16:24:56 2026 RelProcTime: 3561
  233. Wed May 6 16:24:56 2026
  234. Wed May 6 16:24:56 2026 commencing linear algebra
  235. Wed May 6 16:24:56 2026 using VBITS=256
  236. Wed May 6 16:24:56 2026 building matrices for all densities
  237. Wed May 6 16:24:56 2026 found 3 density files
  238. Wed May 6 16:24:56 2026 building matrix for density 80
  239. Wed May 6 16:24:59 2026 read 18495150 cycles
  240. Wed May 6 16:25:20 2026 cycles contain 59396943 unique relations
  241. Wed May 6 16:26:01 2026 read 59396943 relations
  242. Wed May 6 16:26:08 2026 using 20 quadratic characters above 4294917295
  243. Wed May 6 16:26:22 2026 building initial matrix
  244. Wed May 6 16:33:20 2026 memory use: 8202.4 MB
  245. Wed May 6 16:33:26 2026 read 18495150 cycles
  246. Wed May 6 16:33:28 2026 matrix is 18494964 x 18495150 (6302.1 MB) with weight 1955773073 (105.75/col)
  247. Wed May 6 16:33:28 2026 sparse part has weight 1430119688 (77.32/col)
  248. Wed May 6 16:35:25 2026 filtering completed in 2 passes
  249. Wed May 6 16:35:29 2026 matrix is 18472547 x 18472725 (6300.3 MB) with weight 1954947477 (105.83/col)
  250. Wed May 6 16:35:29 2026 sparse part has weight 1429913329 (77.41/col)
  251. Wed May 6 16:35:52 2026 building matrix for density 100
  252. Wed May 6 16:35:53 2026 read 16915150 cycles
  253. Wed May 6 16:36:11 2026 cycles contain 59439438 unique relations
  254. Wed May 6 16:36:59 2026 read 59439438 relations
  255. Wed May 6 16:37:08 2026 using 20 quadratic characters above 4294917295
  256. Wed May 6 16:37:23 2026 building initial matrix
  257. Wed May 6 16:44:47 2026 memory use: 8209.8 MB
  258. Wed May 6 16:44:53 2026 read 16915150 cycles
  259. Wed May 6 16:44:55 2026 matrix is 16914965 x 16915150 (6912.5 MB) with weight 2123306454 (125.53/col)
  260. Wed May 6 16:44:55 2026 sparse part has weight 1609080024 (95.13/col)
  261. Wed May 6 16:46:54 2026 filtering completed in 2 passes
  262. Wed May 6 16:46:57 2026 matrix is 16904917 x 16905100 (6911.5 MB) with weight 2122856553 (125.57/col)
  263. Wed May 6 16:46:57 2026 sparse part has weight 1608946691 (95.18/col)
  264. Wed May 6 16:47:22 2026 building matrix for density 120
  265. Wed May 6 16:47:22 2026 read 15827150 cycles
  266. Wed May 6 16:47:45 2026 cycles contain 59450065 unique relations
  267. Wed May 6 16:48:23 2026 read 59450065 relations
  268. Wed May 6 16:48:32 2026 using 20 quadratic characters above 4294917295
  269. Wed May 6 16:48:45 2026 building initial matrix
  270. Wed May 6 16:56:45 2026 memory use: 8225.9 MB
  271. Wed May 6 16:56:51 2026 read 15827150 cycles
  272. Wed May 6 16:56:53 2026 matrix is 15826969 x 15827150 (7513.0 MB) with weight 2286381031 (144.46/col)
  273. Wed May 6 16:56:53 2026 sparse part has weight 1779554331 (112.44/col)
  274. Wed May 6 16:58:45 2026 filtering completed in 2 passes
  275. Wed May 6 16:58:48 2026 matrix is 15824377 x 15824556 (7512.7 MB) with weight 2286246395 (144.47/col)
  276. Wed May 6 16:58:48 2026 sparse part has weight 1779509784 (112.45/col)
  277. Wed May 6 16:59:13 2026 BLanczosTime: 2057
  278. Wed May 6 16:59:13 2026 elapsed time 01:33:38
  279. Wed May 6 20:06:12 2026
  280. Wed May 6 20:06:12 2026
  281. Wed May 6 20:06:12 2026 Msieve v. 1.54 (SVN unknown)
  282. Wed May 6 20:06:12 2026 random seeds: 9393379e d46bd1c4
  283. Wed May 6 20:06:12 2026 Using 6 OpenMP threads
  284. Wed May 6 20:06:12 2026 factoring 3584787195623240659732793514511317058406904775143036127573865113797862379397298333283519338644925443985070299419014776515620078954685845369782321772735695220909558225441113122555871 (181 digits)
  285. Wed May 6 20:06:12 2026 no P-1/P+1/ECM available, skipping
  286. Wed May 6 20:06:12 2026 commencing number field sieve (181-digit input)
  287. Wed May 6 20:06:12 2026 R0: -166853192784402817645534144722586881
  288. Wed May 6 20:06:12 2026 R1: 4080185501205291756589
  289. Wed May 6 20:06:12 2026 A0: -5044085634502995871854254954949635662819760
  290. Wed May 6 20:06:12 2026 A1: 5034733731429819694480217267024647355
  291. Wed May 6 20:06:12 2026 A2: 88703556959593790559098553059
  292. Wed May 6 20:06:12 2026 A3: -1116860873668773246017
  293. Wed May 6 20:06:12 2026 A4: -6403619752482
  294. Wed May 6 20:06:12 2026 A5: 27720
  295. Wed May 6 20:06:12 2026 skew 111409745.30, size 1.798e-17, alpha -7.421, combined = 1.049e-13 rroots = 5
  296. Wed May 6 20:06:12 2026
  297. Wed May 6 20:06:12 2026 commencing linear algebra
  298. Wed May 6 20:06:12 2026 using VBITS=256
  299. Wed May 6 20:06:12 2026 skipping matrix build
  300. Wed May 6 20:07:26 2026 matrix starts at (0, 0)
  301. Wed May 6 20:07:59 2026 matrix is 16904917 x 16905100 (6911.5 MB) with weight 2122856553 (125.57/col)
  302. Wed May 6 20:07:59 2026 sparse part has weight 1608946691 (95.18/col)
  303. Wed May 6 20:07:59 2026 saving the first 240 matrix rows for later
  304. Wed May 6 20:08:27 2026 matrix includes 256 packed rows
  305. Wed May 6 20:08:34 2026 matrix is 16904677 x 16905100 (6273.4 MB) with weight 1465993504 (86.72/col)
  306. Wed May 6 20:08:34 2026 sparse part has weight 1374047289 (81.28/col)
  307. Wed May 6 20:08:35 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  308. Wed May 6 20:08:35 2026 selected card has CUDA arch 12.0
  309. Wed May 6 20:23:18 2026 commencing Lanczos iteration
  310. Wed May 6 20:23:18 2026 memory use: 14739.4 MB
  311. Wed May 6 20:24:33 2026 linear algebra at 0.2%, ETA 11h 1m
  312. Wed May 6 20:26:22 2026 checking every 20000 dimensions, checkpointing every 1540000 dimensions
  313. Thu May 7 07:27:20 2026 lanczos halted after 66233 iterations (dim = 16904672)
  314. Thu May 7 07:29:30 2026 recovered 27 nontrivial dependencies
  315. Thu May 7 07:29:34 2026 BLanczosTime: 41002
  316. Thu May 7 07:29:34 2026 elapsed time 11:23:22
  317. Thu May 7 07:36:22 2026
  318. Thu May 7 07:36:22 2026
  319. Thu May 7 07:36:22 2026 Msieve v. 1.54 (SVN unknown)
  320. Thu May 7 07:36:22 2026 random seeds: d2705439 1a3ec2b8
  321. Thu May 7 07:36:22 2026 Using 8 OpenMP threads
  322. Thu May 7 07:36:22 2026 factoring 3584787195623240659732793514511317058406904775143036127573865113797862379397298333283519338644925443985070299419014776515620078954685845369782321772735695220909558225441113122555871 (181 digits)
  323. Thu May 7 07:36:22 2026 no P-1/P+1/ECM available, skipping
  324. Thu May 7 07:36:22 2026 commencing number field sieve (181-digit input)
  325. Thu May 7 07:36:22 2026 R0: -166853192784402817645534144722586881
  326. Thu May 7 07:36:22 2026 R1: 4080185501205291756589
  327. Thu May 7 07:36:22 2026 A0: -5044085634502995871854254954949635662819760
  328. Thu May 7 07:36:22 2026 A1: 5034733731429819694480217267024647355
  329. Thu May 7 07:36:22 2026 A2: 88703556959593790559098553059
  330. Thu May 7 07:36:22 2026 A3: -1116860873668773246017
  331. Thu May 7 07:36:22 2026 A4: -6403619752482
  332. Thu May 7 07:36:22 2026 A5: 27720
  333. Thu May 7 07:36:22 2026 skew 111409745.30, size 1.798e-17, alpha -7.421, combined = 1.049e-13 rroots = 5
  334. Thu May 7 07:36:22 2026
  335. Thu May 7 07:36:22 2026 commencing square root phase
  336. Thu May 7 07:36:22 2026 reading relations for dependency 1
  337. Thu May 7 07:36:27 2026 read 8453885 cycles
  338. Thu May 7 07:36:54 2026 cycles contain 29721254 unique relations
  339. Thu May 7 07:42:25 2026 read 29721254 relations
  340. Thu May 7 07:46:09 2026 multiplying 29721254 relations
  341. Thu May 7 07:51:47 2026 multiply complete, coefficients have about 1626.20 million bits
  342. Thu May 7 07:51:52 2026 initial square root is modulo 19709663
  343. Thu May 7 08:04:19 2026 sqrtTime: 1677
  344. Thu May 7 08:04:19 2026 p69 factor: 266294873098150383297200107850142735180456216309723037351778710798541
  345. Thu May 7 08:04:19 2026 p113 factor: 13461720662950832015546655339245936766852979718801049224713921840444156482250927444632619145536076457574147767131
  346. Thu May 7 08:04:19 2026 elapsed time 00:27:57
  347.  
Tags: math
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