kyleaskine

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Feb 10th, 2026
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  1. Mon Feb 2 18:44:48 2026
  2. Mon Feb 2 18:44:48 2026
  3. Mon Feb 2 18:44:48 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Feb 2 18:44:48 2026 random seeds: d48178af 539fdef1
  5. Mon Feb 2 18:44:48 2026 Using 8 OpenMP threads
  6. Mon Feb 2 18:44:48 2026 factoring 4380704234061848049533175405315632347219824563907120571511014090102069172775192780583784718551845571562892018955479518208308255469018817072581892214992517348827306473685398579 (175 digits)
  7. Mon Feb 2 18:44:48 2026 searching for 15-digit factors
  8. Mon Feb 2 18:44:48 2026 commencing number field sieve (175-digit input)
  9. Mon Feb 2 18:44:48 2026 R0: -6560870746323245353886455627420482
  10. Mon Feb 2 18:44:48 2026 R1: 762074978196257261363
  11. Mon Feb 2 18:44:48 2026 A0: -584954122734909042992771515464547430832
  12. Mon Feb 2 18:44:48 2026 A1: 66743759577858627024219718969406150
  13. Mon Feb 2 18:44:48 2026 A2: 3687337175348343570465617487
  14. Mon Feb 2 18:44:48 2026 A3: -2783853692948146746521
  15. Mon Feb 2 18:44:48 2026 A4: -9504958443024
  16. Mon Feb 2 18:44:48 2026 A5: 8648640
  17. Mon Feb 2 18:44:48 2026 skew 1.00, size 5.581e-17, alpha -8.200, combined = 1.798e-15 rroots = 5
  18. Mon Feb 2 18:44:48 2026
  19. Mon Feb 2 18:44:48 2026 commencing relation filtering
  20. Mon Feb 2 18:44:48 2026 estimated available RAM is 78540.1 MB
  21. Mon Feb 2 18:44:48 2026 commencing duplicate removal, pass 1
  22. Mon Feb 2 18:45:15 2026 error -1 reading relation 12705907
  23. Mon Feb 2 18:46:39 2026 error -1 reading relation 53093717
  24. Mon Feb 2 18:47:15 2026 error -1 reading relation 70026021
  25. Mon Feb 2 18:47:22 2026 error -1 reading relation 72937739
  26. Mon Feb 2 18:47:36 2026 error -1 reading relation 79276051
  27. Mon Feb 2 18:47:43 2026 error -1 reading relation 82543525
  28. Mon Feb 2 18:47:54 2026 error -1 reading relation 87554831
  29. Mon Feb 2 18:47:58 2026 error -1 reading relation 89676196
  30. Mon Feb 2 18:48:01 2026 error -1 reading relation 90880026
  31. Mon Feb 2 18:48:01 2026 error -1 reading relation 91004518
  32. Mon Feb 2 18:48:21 2026 error -1 reading relation 100576781
  33. Mon Feb 2 18:48:23 2026 error -1 reading relation 101516360
  34. Mon Feb 2 18:49:02 2026 error -1 reading relation 120958182
  35. Mon Feb 2 18:49:21 2026 error -1 reading relation 130483469
  36. Mon Feb 2 18:49:30 2026 error -1 reading relation 135077926
  37. Mon Feb 2 18:49:31 2026 error -1 reading relation 135785672
  38. Mon Feb 2 18:49:34 2026 error -1 reading relation 136994153
  39. Mon Feb 2 18:49:37 2026 error -1 reading relation 138565159
  40. Mon Feb 2 18:49:38 2026 error -1 reading relation 138822723
  41. Mon Feb 2 18:49:38 2026 error -1 reading relation 139012688
  42. Mon Feb 2 18:49:47 2026 error -1 reading relation 143786646
  43. Mon Feb 2 18:49:54 2026 error -1 reading relation 146730111
  44. Mon Feb 2 18:49:57 2026 error -1 reading relation 147965227
  45. Mon Feb 2 18:50:03 2026 error -1 reading relation 151390907
  46. Mon Feb 2 18:50:27 2026 error -1 reading relation 162460138
  47. Mon Feb 2 18:50:34 2026 error -1 reading relation 165093035
  48. Mon Feb 2 18:50:46 2026 error -1 reading relation 170800545
  49. Mon Feb 2 18:50:54 2026 error -1 reading relation 174508753
  50. Mon Feb 2 18:50:56 2026 error -1 reading relation 175696353
  51. Mon Feb 2 18:51:13 2026 error -1 reading relation 184437054
  52. Mon Feb 2 18:51:13 2026 error -1 reading relation 184775713
  53. Mon Feb 2 18:51:14 2026 error -1 reading relation 184955548
  54. Mon Feb 2 18:51:29 2026 error -1 reading relation 193052679
  55. Mon Feb 2 18:51:44 2026 error -1 reading relation 200947259
  56. Mon Feb 2 18:52:11 2026 error -1 reading relation 214236464
  57. Mon Feb 2 18:52:15 2026 skipped 329 malformed relations
  58. Mon Feb 2 18:52:15 2026 found 43724137 hash collisions in 216477404 relations
  59. Mon Feb 2 18:52:30 2026 added 122546 free relations
  60. Mon Feb 2 18:52:30 2026 commencing duplicate removal, pass 2
  61. Mon Feb 2 18:54:03 2026 found 48297838 duplicates and 168302112 unique relations
  62. Mon Feb 2 18:54:03 2026 memory use: 1577.5 MB
  63. Mon Feb 2 18:54:03 2026 reading ideals above 720000
  64. Mon Feb 2 18:54:03 2026 commencing singleton removal, initial pass
  65. Mon Feb 2 19:06:31 2026 memory use: 5512.0 MB
  66. Mon Feb 2 19:06:31 2026 reading all ideals from disk
  67. Mon Feb 2 19:06:48 2026 memory use: 7934.1 MB
  68. Mon Feb 2 19:07:10 2026 keeping 182938044 ideals with weight <= 200, target excess is 832561
  69. Mon Feb 2 19:07:26 2026 commencing in-memory singleton removal
  70. Mon Feb 2 19:07:29 2026 begin with 168302112 relations and 182938044 unique ideals
  71. Mon Feb 2 19:08:00 2026 reduce to 69949191 relations and 70140033 ideals in 23 passes
  72. Mon Feb 2 19:08:00 2026 max relations containing the same ideal: 118
  73. Mon Feb 2 19:08:01 2026 filtering wants 1000000 more relations
  74. Mon Feb 2 19:08:01 2026 elapsed time 00:23:13
  75. Thu Feb 5 20:49:13 2026
  76. Thu Feb 5 20:49:13 2026
  77. Thu Feb 5 20:49:13 2026 Msieve v. 1.54 (SVN Unversioned directory)
  78. Thu Feb 5 20:49:13 2026 random seeds: 4dbf72ce 46a2d28c
  79. Thu Feb 5 20:49:13 2026 Using 8 OpenMP threads
  80. Thu Feb 5 20:49:13 2026 factoring 4380704234061848049533175405315632347219824563907120571511014090102069172775192780583784718551845571562892018955479518208308255469018817072581892214992517348827306473685398579 (175 digits)
  81. Thu Feb 5 20:49:14 2026 searching for 15-digit factors
  82. Thu Feb 5 20:49:14 2026 commencing number field sieve (175-digit input)
  83. Thu Feb 5 20:49:14 2026 R0: -6560870746323245353886455627420482
  84. Thu Feb 5 20:49:14 2026 R1: 762074978196257261363
  85. Thu Feb 5 20:49:14 2026 A0: -584954122734909042992771515464547430832
  86. Thu Feb 5 20:49:14 2026 A1: 66743759577858627024219718969406150
  87. Thu Feb 5 20:49:14 2026 A2: 3687337175348343570465617487
  88. Thu Feb 5 20:49:14 2026 A3: -2783853692948146746521
  89. Thu Feb 5 20:49:14 2026 A4: -9504958443024
  90. Thu Feb 5 20:49:14 2026 A5: 8648640
  91. Thu Feb 5 20:49:14 2026 skew 1.00, size 5.581e-17, alpha -8.200, combined = 1.798e-15 rroots = 5
  92. Thu Feb 5 20:49:14 2026
  93. Thu Feb 5 20:49:14 2026 commencing relation filtering
  94. Thu Feb 5 20:49:14 2026 estimated available RAM is 78540.1 MB
  95. Thu Feb 5 20:49:14 2026 commencing duplicate removal, pass 1
  96. Thu Feb 5 20:49:30 2026 error -1 reading relation 12705907
  97. Thu Feb 5 20:50:02 2026 error -1 reading relation 53093717
  98. Thu Feb 5 20:50:15 2026 error -1 reading relation 70026021
  99. Thu Feb 5 20:50:17 2026 error -1 reading relation 72937739
  100. Thu Feb 5 20:50:22 2026 error -1 reading relation 79276051
  101. Thu Feb 5 20:50:25 2026 error -1 reading relation 82543525
  102. Thu Feb 5 20:50:29 2026 error -1 reading relation 87554831
  103. Thu Feb 5 20:50:30 2026 error -1 reading relation 89676196
  104. Thu Feb 5 20:50:31 2026 error -1 reading relation 90880026
  105. Thu Feb 5 20:50:31 2026 error -1 reading relation 91004518
  106. Thu Feb 5 20:50:42 2026 error -1 reading relation 100576781
  107. Thu Feb 5 20:50:44 2026 error -1 reading relation 101516360
  108. Thu Feb 5 20:51:15 2026 error -1 reading relation 120958182
  109. Thu Feb 5 20:51:31 2026 error -1 reading relation 130483469
  110. Thu Feb 5 20:51:39 2026 error -1 reading relation 135077926
  111. Thu Feb 5 20:51:40 2026 error -1 reading relation 135785672
  112. Thu Feb 5 20:51:42 2026 error -1 reading relation 136994153
  113. Thu Feb 5 20:51:44 2026 error -1 reading relation 138565159
  114. Thu Feb 5 20:51:45 2026 error -1 reading relation 138822723
  115. Thu Feb 5 20:51:45 2026 error -1 reading relation 139012688
  116. Thu Feb 5 20:51:53 2026 error -1 reading relation 143786646
  117. Thu Feb 5 20:51:59 2026 error -1 reading relation 146730111
  118. Thu Feb 5 20:52:01 2026 error -1 reading relation 147965227
  119. Thu Feb 5 20:52:07 2026 error -1 reading relation 151390907
  120. Thu Feb 5 20:52:27 2026 error -1 reading relation 162460138
  121. Thu Feb 5 20:52:32 2026 error -1 reading relation 165093035
  122. Thu Feb 5 20:52:42 2026 error -1 reading relation 170800545
  123. Thu Feb 5 20:52:48 2026 error -1 reading relation 174508753
  124. Thu Feb 5 20:52:50 2026 error -1 reading relation 175696353
  125. Thu Feb 5 20:53:03 2026 error -1 reading relation 184437054
  126. Thu Feb 5 20:53:04 2026 error -1 reading relation 184775713
  127. Thu Feb 5 20:53:04 2026 error -1 reading relation 184955548
  128. Thu Feb 5 20:53:18 2026 error -1 reading relation 193052679
  129. Thu Feb 5 20:53:30 2026 error -1 reading relation 200947259
  130. Thu Feb 5 20:53:51 2026 error -1 reading relation 214236464
  131. Thu Feb 5 20:54:11 2026 skipped 356 malformed relations
  132. Thu Feb 5 20:54:11 2026 found 47127011 hash collisions in 229206762 relations
  133. Thu Feb 5 20:54:25 2026 added 122546 free relations
  134. Thu Feb 5 20:54:25 2026 commencing duplicate removal, pass 2
  135. Thu Feb 5 20:55:58 2026 found 52239595 duplicates and 177089713 unique relations
  136. Thu Feb 5 20:55:58 2026 memory use: 1577.5 MB
  137. Thu Feb 5 20:55:59 2026 reading ideals above 720000
  138. Thu Feb 5 20:55:59 2026 commencing singleton removal, initial pass
  139. Thu Feb 5 21:03:32 2026 memory use: 5512.0 MB
  140. Thu Feb 5 21:03:32 2026 reading all ideals from disk
  141. Thu Feb 5 21:03:36 2026 memory use: 8352.4 MB
  142. Thu Feb 5 21:03:45 2026 keeping 186673803 ideals with weight <= 200, target excess is 878432
  143. Thu Feb 5 21:03:57 2026 commencing in-memory singleton removal
  144. Thu Feb 5 21:03:59 2026 begin with 177089713 relations and 186673803 unique ideals
  145. Thu Feb 5 21:04:17 2026 reduce to 82437834 relations and 79050993 ideals in 21 passes
  146. Thu Feb 5 21:04:17 2026 max relations containing the same ideal: 128
  147. Thu Feb 5 21:04:38 2026 removing 4786546 relations and 4386546 ideals in 400000 cliques
  148. Thu Feb 5 21:04:39 2026 commencing in-memory singleton removal
  149. Thu Feb 5 21:04:40 2026 begin with 77651288 relations and 79050993 unique ideals
  150. Thu Feb 5 21:04:47 2026 reduce to 77395005 relations and 74406126 ideals in 12 passes
  151. Thu Feb 5 21:04:47 2026 max relations containing the same ideal: 124
  152. Thu Feb 5 21:05:06 2026 removing 3523630 relations and 3123630 ideals in 400000 cliques
  153. Thu Feb 5 21:05:07 2026 commencing in-memory singleton removal
  154. Thu Feb 5 21:05:08 2026 begin with 73871375 relations and 74406126 unique ideals
  155. Thu Feb 5 21:05:14 2026 reduce to 73718399 relations and 71128524 ideals in 10 passes
  156. Thu Feb 5 21:05:14 2026 max relations containing the same ideal: 122
  157. Thu Feb 5 21:05:31 2026 removing 3130049 relations and 2730049 ideals in 400000 cliques
  158. Thu Feb 5 21:05:32 2026 commencing in-memory singleton removal
  159. Thu Feb 5 21:05:33 2026 begin with 70588350 relations and 71128524 unique ideals
  160. Thu Feb 5 21:05:38 2026 reduce to 70463074 relations and 68272457 ideals in 9 passes
  161. Thu Feb 5 21:05:38 2026 max relations containing the same ideal: 117
  162. Thu Feb 5 21:05:56 2026 removing 2909605 relations and 2509605 ideals in 400000 cliques
  163. Thu Feb 5 21:05:57 2026 commencing in-memory singleton removal
  164. Thu Feb 5 21:05:57 2026 begin with 67553469 relations and 68272457 unique ideals
  165. Thu Feb 5 21:06:02 2026 reduce to 67440264 relations and 65648985 ideals in 9 passes
  166. Thu Feb 5 21:06:02 2026 max relations containing the same ideal: 111
  167. Thu Feb 5 21:06:19 2026 removing 2771005 relations and 2371005 ideals in 400000 cliques
  168. Thu Feb 5 21:06:20 2026 commencing in-memory singleton removal
  169. Thu Feb 5 21:06:21 2026 begin with 64669259 relations and 65648985 unique ideals
  170. Thu Feb 5 21:06:25 2026 reduce to 64561463 relations and 63169517 ideals in 8 passes
  171. Thu Feb 5 21:06:25 2026 max relations containing the same ideal: 109
  172. Thu Feb 5 21:06:42 2026 removing 2515431 relations and 2142467 ideals in 372964 cliques
  173. Thu Feb 5 21:06:43 2026 commencing in-memory singleton removal
  174. Thu Feb 5 21:06:43 2026 begin with 62046032 relations and 63169517 unique ideals
  175. Thu Feb 5 21:06:48 2026 reduce to 61954213 relations and 60934732 ideals in 9 passes
  176. Thu Feb 5 21:06:48 2026 max relations containing the same ideal: 106
  177. Thu Feb 5 21:07:08 2026 relations with 0 large ideals: 3352
  178. Thu Feb 5 21:07:08 2026 relations with 1 large ideals: 12844
  179. Thu Feb 5 21:07:08 2026 relations with 2 large ideals: 205685
  180. Thu Feb 5 21:07:08 2026 relations with 3 large ideals: 1405518
  181. Thu Feb 5 21:07:08 2026 relations with 4 large ideals: 5307134
  182. Thu Feb 5 21:07:08 2026 relations with 5 large ideals: 12057607
  183. Thu Feb 5 21:07:08 2026 relations with 6 large ideals: 17103099
  184. Thu Feb 5 21:07:08 2026 relations with 7+ large ideals: 25858974
  185. Thu Feb 5 21:07:08 2026 commencing 2-way merge
  186. Thu Feb 5 21:07:36 2026 reduce to 37560163 relation sets and 36540681 unique ideals
  187. Thu Feb 5 21:07:36 2026 commencing full merge
  188. Thu Feb 5 21:16:02 2026 memory use: 4208.2 MB
  189. Thu Feb 5 21:16:06 2026 found 18187719 cycles, need 18080881
  190. Thu Feb 5 21:16:10 2026 weight of 18080881 cycles is about 1627483420 (90.01/cycle)
  191. Thu Feb 5 21:16:10 2026 distribution of cycle lengths:
  192. Thu Feb 5 21:16:10 2026 1 relations: 2335323
  193. Thu Feb 5 21:16:10 2026 2 relations: 1996914
  194. Thu Feb 5 21:16:10 2026 3 relations: 1892959
  195. Thu Feb 5 21:16:10 2026 4 relations: 1694839
  196. Thu Feb 5 21:16:10 2026 5 relations: 1510955
  197. Thu Feb 5 21:16:10 2026 6 relations: 1323472
  198. Thu Feb 5 21:16:10 2026 7 relations: 1137393
  199. Thu Feb 5 21:16:10 2026 8 relations: 1008959
  200. Thu Feb 5 21:16:10 2026 9 relations: 872395
  201. Thu Feb 5 21:16:10 2026 10+ relations: 4307672
  202. Thu Feb 5 21:16:10 2026 heaviest cycle: 27 relations
  203. Thu Feb 5 21:16:12 2026 commencing cycle optimization
  204. Thu Feb 5 21:16:36 2026 start with 117186739 relations
  205. Thu Feb 5 21:19:54 2026 pruned 3086667 relations
  206. Thu Feb 5 21:19:57 2026 memory use: 3709.4 MB
  207. Thu Feb 5 21:19:57 2026 distribution of cycle lengths:
  208. Thu Feb 5 21:19:57 2026 1 relations: 2335323
  209. Thu Feb 5 21:19:57 2026 2 relations: 2046595
  210. Thu Feb 5 21:19:57 2026 3 relations: 1962873
  211. Thu Feb 5 21:19:57 2026 4 relations: 1736528
  212. Thu Feb 5 21:19:57 2026 5 relations: 1547691
  213. Thu Feb 5 21:19:57 2026 6 relations: 1340648
  214. Thu Feb 5 21:19:57 2026 7 relations: 1151474
  215. Thu Feb 5 21:19:57 2026 8 relations: 1009963
  216. Thu Feb 5 21:19:57 2026 9 relations: 869384
  217. Thu Feb 5 21:19:57 2026 10+ relations: 4080402
  218. Thu Feb 5 21:19:57 2026 heaviest cycle: 26 relations
  219. Thu Feb 5 21:20:37 2026 RelProcTime: 1883
  220. Thu Feb 5 21:20:43 2026
  221. Thu Feb 5 21:20:43 2026 commencing linear algebra
  222. Thu Feb 5 21:20:43 2026 using VBITS=256
  223. Thu Feb 5 21:20:44 2026 read 18080881 cycles
  224. Thu Feb 5 21:21:19 2026 cycles contain 61022832 unique relations
  225. Thu Feb 5 21:22:53 2026 read 61022832 relations
  226. Thu Feb 5 21:23:18 2026 using 20 quadratic characters above 4294917295
  227. Thu Feb 5 21:23:50 2026 building initial matrix
  228. Thu Feb 5 21:37:17 2026 memory use: 8308.9 MB
  229. Thu Feb 5 21:37:24 2026 read 18080881 cycles
  230. Thu Feb 5 21:37:27 2026 matrix is 18080701 x 18080881 (6760.6 MB) with weight 2081492833 (115.12/col)
  231. Thu Feb 5 21:37:27 2026 sparse part has weight 1555289098 (86.02/col)
  232. Thu Feb 5 21:40:54 2026 filtering completed in 2 passes
  233. Thu Feb 5 21:40:59 2026 matrix is 18069596 x 18069775 (6759.7 MB) with weight 2081024052 (115.17/col)
  234. Thu Feb 5 21:40:59 2026 sparse part has weight 1555169172 (86.06/col)
  235. Thu Feb 5 21:41:46 2026 matrix starts at (0, 0)
  236. Thu Feb 5 21:41:47 2026 matrix is 18069596 x 18069775 (6759.7 MB) with weight 2081024052 (115.17/col)
  237. Thu Feb 5 21:41:47 2026 sparse part has weight 1555169172 (86.06/col)
  238. Thu Feb 5 21:41:47 2026 saving the first 240 matrix rows for later
  239. Thu Feb 5 21:41:50 2026 matrix includes 256 packed rows
  240. Thu Feb 5 21:41:55 2026 matrix is 18069356 x 18069775 (6151.3 MB) with weight 1416350832 (78.38/col)
  241. Thu Feb 5 21:41:55 2026 sparse part has weight 1323418807 (73.24/col)
  242. Thu Feb 5 21:41:55 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  243. Thu Feb 5 21:41:55 2026 selected card has CUDA arch 12.0
  244. Thu Feb 5 21:43:59 2026 commencing Lanczos iteration
  245. Tue Feb 10 08:43:40 2026
  246. Tue Feb 10 08:43:40 2026
  247. Tue Feb 10 08:43:40 2026 Msieve v. 1.54 (SVN Unversioned directory)
  248. Tue Feb 10 08:43:40 2026 random seeds: d9e59ca5 9aeeb074
  249. Tue Feb 10 08:43:40 2026 Using 8 OpenMP threads
  250. Tue Feb 10 08:43:40 2026 factoring 4380704234061848049533175405315632347219824563907120571511014090102069172775192780583784718551845571562892018955479518208308255469018817072581892214992517348827306473685398579 (175 digits)
  251. Tue Feb 10 08:43:40 2026 searching for 15-digit factors
  252. Tue Feb 10 08:43:41 2026 commencing number field sieve (175-digit input)
  253. Tue Feb 10 08:43:41 2026 R0: -6560870746323245353886455627420482
  254. Tue Feb 10 08:43:41 2026 R1: 762074978196257261363
  255. Tue Feb 10 08:43:41 2026 A0: -584954122734909042992771515464547430832
  256. Tue Feb 10 08:43:41 2026 A1: 66743759577858627024219718969406150
  257. Tue Feb 10 08:43:41 2026 A2: 3687337175348343570465617487
  258. Tue Feb 10 08:43:41 2026 A3: -2783853692948146746521
  259. Tue Feb 10 08:43:41 2026 A4: -9504958443024
  260. Tue Feb 10 08:43:41 2026 A5: 8648640
  261. Tue Feb 10 08:43:41 2026 skew 1.00, size 5.581e-17, alpha -8.200, combined = 1.798e-15 rroots = 5
  262. Tue Feb 10 08:43:41 2026
  263. Tue Feb 10 08:43:41 2026 commencing relation filtering
  264. Tue Feb 10 08:43:41 2026 estimated available RAM is 78540.1 MB
  265. Tue Feb 10 08:43:41 2026 commencing duplicate removal, pass 1
  266. Tue Feb 10 08:44:16 2026 error -1 reading relation 12705907
  267. Tue Feb 10 08:46:06 2026 error -1 reading relation 53093717
  268. Tue Feb 10 08:46:53 2026 error -1 reading relation 70026021
  269. Tue Feb 10 08:47:04 2026 error -1 reading relation 72937739
  270. Tue Feb 10 08:47:23 2026 error -1 reading relation 79276051
  271. Tue Feb 10 08:47:32 2026 error -1 reading relation 82543525
  272. Tue Feb 10 08:47:45 2026 error -1 reading relation 87554831
  273. Tue Feb 10 08:47:51 2026 error -1 reading relation 89676196
  274. Tue Feb 10 08:47:54 2026 error -1 reading relation 90880026
  275. Tue Feb 10 08:47:55 2026 error -1 reading relation 91004518
  276. Tue Feb 10 08:48:21 2026 error -1 reading relation 100576781
  277. Tue Feb 10 08:48:24 2026 error -1 reading relation 101516360
  278. Tue Feb 10 08:49:18 2026 error -1 reading relation 120958182
  279. Tue Feb 10 08:49:45 2026 error -1 reading relation 130483469
  280. Tue Feb 10 08:49:56 2026 error -1 reading relation 135077926
  281. Tue Feb 10 08:49:58 2026 error -1 reading relation 135785672
  282. Tue Feb 10 08:50:01 2026 error -1 reading relation 136994153
  283. Tue Feb 10 08:50:06 2026 error -1 reading relation 138565159
  284. Tue Feb 10 08:50:06 2026 error -1 reading relation 138822723
  285. Tue Feb 10 08:50:07 2026 error -1 reading relation 139012688
  286. Tue Feb 10 08:50:20 2026 error -1 reading relation 143786646
  287. Tue Feb 10 08:50:29 2026 error -1 reading relation 146730111
  288. Tue Feb 10 08:50:32 2026 error -1 reading relation 147965227
  289. Tue Feb 10 08:50:41 2026 error -1 reading relation 151390907
  290. Tue Feb 10 08:51:14 2026 error -1 reading relation 162460138
  291. Tue Feb 10 08:51:22 2026 error -1 reading relation 165093035
  292. Tue Feb 10 08:51:40 2026 error -1 reading relation 170800545
  293. Tue Feb 10 08:51:50 2026 error -1 reading relation 174508753
  294. Tue Feb 10 08:51:53 2026 error -1 reading relation 175696353
  295. Tue Feb 10 08:52:17 2026 error -1 reading relation 184437054
  296. Tue Feb 10 08:52:18 2026 error -1 reading relation 184775713
  297. Tue Feb 10 08:52:18 2026 error -1 reading relation 184955548
  298. Tue Feb 10 08:52:40 2026 error -1 reading relation 193052679
  299. Tue Feb 10 08:53:00 2026 error -1 reading relation 200947259
  300. Tue Feb 10 08:53:36 2026 error -1 reading relation 214236464
  301. Tue Feb 10 08:54:27 2026 error -1 reading relation 233771256
  302. Tue Feb 10 08:54:28 2026 error -1 reading relation 233967304
  303. Tue Feb 10 08:54:29 2026 error -1 reading relation 234534069
  304. Tue Feb 10 08:54:40 2026 skipped 381 malformed relations
  305. Tue Feb 10 08:54:40 2026 found 49774366 hash collisions in 238975616 relations
  306. Tue Feb 10 08:55:00 2026 added 122546 free relations
  307. Tue Feb 10 08:55:00 2026 commencing duplicate removal, pass 2
  308. Tue Feb 10 08:57:57 2026 found 55318235 duplicates and 183779927 unique relations
  309. Tue Feb 10 08:57:57 2026 memory use: 1577.5 MB
  310. Tue Feb 10 08:57:57 2026 reading ideals above 720000
  311. Tue Feb 10 08:57:57 2026 commencing singleton removal, initial pass
  312. Tue Feb 10 09:17:26 2026 memory use: 5512.0 MB
  313. Tue Feb 10 09:17:26 2026 reading all ideals from disk
  314. Tue Feb 10 09:17:34 2026 memory use: 8671.0 MB
  315. Tue Feb 10 09:17:49 2026 keeping 189359362 ideals with weight <= 200, target excess is 913557
  316. Tue Feb 10 09:18:14 2026 commencing in-memory singleton removal
  317. Tue Feb 10 09:18:19 2026 begin with 183779927 relations and 189359362 unique ideals
  318. Tue Feb 10 09:19:04 2026 reduce to 91676064 relations and 85283400 ideals in 20 passes
  319. Tue Feb 10 09:19:04 2026 max relations containing the same ideal: 134
  320. Tue Feb 10 09:20:00 2026 removing 8476825 relations and 7476825 ideals in 1000000 cliques
  321. Tue Feb 10 09:20:03 2026 commencing in-memory singleton removal
  322. Tue Feb 10 09:20:05 2026 begin with 83199239 relations and 85283400 unique ideals
  323. Tue Feb 10 09:20:26 2026 reduce to 82509978 relations and 77106455 ideals in 12 passes
  324. Tue Feb 10 09:20:26 2026 max relations containing the same ideal: 126
  325. Tue Feb 10 09:21:15 2026 removing 6394623 relations and 5394623 ideals in 1000000 cliques
  326. Tue Feb 10 09:21:17 2026 commencing in-memory singleton removal
  327. Tue Feb 10 09:21:19 2026 begin with 76115355 relations and 77106455 unique ideals
  328. Tue Feb 10 09:21:34 2026 reduce to 75669130 relations and 71259668 ideals in 9 passes
  329. Tue Feb 10 09:21:34 2026 max relations containing the same ideal: 123
  330. Tue Feb 10 09:22:20 2026 removing 5758736 relations and 4758736 ideals in 1000000 cliques
  331. Tue Feb 10 09:22:22 2026 commencing in-memory singleton removal
  332. Tue Feb 10 09:22:23 2026 begin with 69910394 relations and 71259668 unique ideals
  333. Tue Feb 10 09:22:37 2026 reduce to 69514718 relations and 66099893 ideals in 9 passes
  334. Tue Feb 10 09:22:37 2026 max relations containing the same ideal: 116
  335. Tue Feb 10 09:23:16 2026 removing 5442272 relations and 4442272 ideals in 1000000 cliques
  336. Tue Feb 10 09:23:17 2026 commencing in-memory singleton removal
  337. Tue Feb 10 09:23:19 2026 begin with 64072446 relations and 66099893 unique ideals
  338. Tue Feb 10 09:23:31 2026 reduce to 63689990 relations and 61269774 ideals in 10 passes
  339. Tue Feb 10 09:23:31 2026 max relations containing the same ideal: 107
  340. Tue Feb 10 09:24:08 2026 removing 5258720 relations and 4258720 ideals in 1000000 cliques
  341. Tue Feb 10 09:24:09 2026 commencing in-memory singleton removal
  342. Tue Feb 10 09:24:11 2026 begin with 58431270 relations and 61269774 unique ideals
  343. Tue Feb 10 09:24:21 2026 reduce to 58040504 relations and 56614565 ideals in 9 passes
  344. Tue Feb 10 09:24:21 2026 max relations containing the same ideal: 99
  345. Tue Feb 10 09:24:56 2026 removing 2311793 relations and 1945581 ideals in 366212 cliques
  346. Tue Feb 10 09:24:57 2026 commencing in-memory singleton removal
  347. Tue Feb 10 09:24:59 2026 begin with 55728711 relations and 56614565 unique ideals
  348. Tue Feb 10 09:25:10 2026 reduce to 55654284 relations and 54594082 ideals in 9 passes
  349. Tue Feb 10 09:25:10 2026 max relations containing the same ideal: 97
  350. Tue Feb 10 09:25:51 2026 relations with 0 large ideals: 3481
  351. Tue Feb 10 09:25:51 2026 relations with 1 large ideals: 14801
  352. Tue Feb 10 09:25:51 2026 relations with 2 large ideals: 227306
  353. Tue Feb 10 09:25:51 2026 relations with 3 large ideals: 1489054
  354. Tue Feb 10 09:25:51 2026 relations with 4 large ideals: 5339199
  355. Tue Feb 10 09:25:51 2026 relations with 5 large ideals: 11494545
  356. Tue Feb 10 09:25:51 2026 relations with 6 large ideals: 15442221
  357. Tue Feb 10 09:25:51 2026 relations with 7+ large ideals: 21643677
  358. Tue Feb 10 09:25:51 2026 commencing 2-way merge
  359. Tue Feb 10 09:26:43 2026 reduce to 34367501 relation sets and 33307298 unique ideals
  360. Tue Feb 10 09:26:43 2026 commencing full merge
  361. Tue Feb 10 09:42:18 2026 memory use: 3893.4 MB
  362. Tue Feb 10 09:42:25 2026 found 16811697 cycles, need 16679498
  363. Tue Feb 10 09:42:30 2026 weight of 16679498 cycles is about 1501193077 (90.00/cycle)
  364. Tue Feb 10 09:42:30 2026 distribution of cycle lengths:
  365. Tue Feb 10 09:42:30 2026 1 relations: 1925816
  366. Tue Feb 10 09:42:30 2026 2 relations: 1782749
  367. Tue Feb 10 09:42:30 2026 3 relations: 1722068
  368. Tue Feb 10 09:42:30 2026 4 relations: 1574963
  369. Tue Feb 10 09:42:30 2026 5 relations: 1418947
  370. Tue Feb 10 09:42:30 2026 6 relations: 1280201
  371. Tue Feb 10 09:42:30 2026 7 relations: 1127801
  372. Tue Feb 10 09:42:30 2026 8 relations: 1006874
  373. Tue Feb 10 09:42:30 2026 9 relations: 886873
  374. Tue Feb 10 09:42:30 2026 10+ relations: 3953206
  375. Tue Feb 10 09:42:30 2026 heaviest cycle: 24 relations
  376. Tue Feb 10 09:42:38 2026 commencing cycle optimization
  377. Tue Feb 10 09:43:19 2026 start with 107623863 relations
  378. Tue Feb 10 09:46:32 2026 pruned 2980689 relations
  379. Tue Feb 10 09:46:34 2026 memory use: 3372.7 MB
  380. Tue Feb 10 09:46:34 2026 distribution of cycle lengths:
  381. Tue Feb 10 09:46:34 2026 1 relations: 1925816
  382. Tue Feb 10 09:46:34 2026 2 relations: 1826160
  383. Tue Feb 10 09:46:34 2026 3 relations: 1787324
  384. Tue Feb 10 09:46:34 2026 4 relations: 1615892
  385. Tue Feb 10 09:46:34 2026 5 relations: 1458975
  386. Tue Feb 10 09:46:34 2026 6 relations: 1302584
  387. Tue Feb 10 09:46:34 2026 7 relations: 1146965
  388. Tue Feb 10 09:46:34 2026 8 relations: 1015451
  389. Tue Feb 10 09:46:34 2026 9 relations: 889608
  390. Tue Feb 10 09:46:34 2026 10+ relations: 3710723
  391. Tue Feb 10 09:46:34 2026 heaviest cycle: 24 relations
  392. Tue Feb 10 09:47:01 2026 RelProcTime: 3800
  393. Tue Feb 10 09:47:04 2026 elapsed time 01:03:24Tue Feb 10 09:47:46 2026
  394. Tue Feb 10 09:47:46 2026
  395. Tue Feb 10 09:47:46 2026 Msieve v. 1.54 (SVN Unversioned directory)
  396. Tue Feb 10 09:47:46 2026 random seeds: a6e01b73 a6d4a6d1
  397. Tue Feb 10 09:47:46 2026 Using 8 OpenMP threads
  398. Tue Feb 10 09:47:46 2026 factoring 4380704234061848049533175405315632347219824563907120571511014090102069172775192780583784718551845571562892018955479518208308255469018817072581892214992517348827306473685398579 (175 digits)
  399. Tue Feb 10 09:47:46 2026 searching for 15-digit factors
  400. Tue Feb 10 09:47:46 2026 commencing number field sieve (175-digit input)
  401. Tue Feb 10 09:47:46 2026 R0: -6560870746323245353886455627420482
  402. Tue Feb 10 09:47:46 2026 R1: 762074978196257261363
  403. Tue Feb 10 09:47:46 2026 A0: -584954122734909042992771515464547430832
  404. Tue Feb 10 09:47:46 2026 A1: 66743759577858627024219718969406150
  405. Tue Feb 10 09:47:46 2026 A2: 3687337175348343570465617487
  406. Tue Feb 10 09:47:46 2026 A3: -2783853692948146746521
  407. Tue Feb 10 09:47:46 2026 A4: -9504958443024
  408. Tue Feb 10 09:47:46 2026 A5: 8648640
  409. Tue Feb 10 09:47:46 2026 skew 1.00, size 5.581e-17, alpha -8.200, combined = 1.798e-15 rroots = 5
  410. Tue Feb 10 09:47:46 2026
  411. Tue Feb 10 09:47:46 2026 commencing linear algebra
  412. Tue Feb 10 09:47:46 2026 using VBITS=256
  413. Tue Feb 10 09:47:46 2026 stopping after matrix build
  414. Tue Feb 10 09:47:47 2026 read 16679498 cycles
  415. Tue Feb 10 09:48:09 2026 cycles contain 54873484 unique relations
  416. Tue Feb 10 09:52:25 2026 read 54873484 relations
  417. Tue Feb 10 09:52:43 2026 using 20 quadratic characters above 4294917295
  418. Tue Feb 10 09:53:08 2026 building initial matrix
  419. Tue Feb 10 10:02:07 2026 memory use: 7544.5 MB
  420. Tue Feb 10 10:02:14 2026 read 16679498 cycles
  421. Tue Feb 10 10:02:16 2026 matrix is 16679321 x 16679498 (6231.4 MB) with weight 1922030593 (115.23/col)
  422. Tue Feb 10 10:02:16 2026 sparse part has weight 1433365442 (85.94/col)
  423. Tue Feb 10 10:04:53 2026 filtering completed in 2 passes
  424. Tue Feb 10 10:04:57 2026 matrix is 16671911 x 16672084 (6230.8 MB) with weight 1921729530 (115.27/col)
  425. Tue Feb 10 10:04:57 2026 sparse part has weight 1433290663 (85.97/col)
  426. Tue Feb 10 10:05:31 2026 BLanczosTime: 1065
  427. Tue Feb 10 10:05:31 2026 elapsed time 00:17:45
  428. Tue Feb 10 11:22:08 2026
  429. Tue Feb 10 11:22:08 2026
  430. Tue Feb 10 11:22:08 2026 Msieve v. 1.54 (SVN unknown)
  431. Tue Feb 10 11:22:08 2026 random seeds: f46aa3e5 89994251
  432. Tue Feb 10 11:22:08 2026 Using 4 OpenMP threads
  433. Tue Feb 10 11:22:08 2026 factoring 4380704234061848049533175405315632347219824563907120571511014090102069172775192780583784718551845571562892018955479518208308255469018817072581892214992517348827306473685398579 (175 digits)
  434. Tue Feb 10 11:22:09 2026 no P-1/P+1/ECM available, skipping
  435. Tue Feb 10 11:22:09 2026 commencing number field sieve (175-digit input)
  436. Tue Feb 10 11:22:09 2026 R0: -6560870746323245353886455627420482
  437. Tue Feb 10 11:22:09 2026 R1: 762074978196257261363
  438. Tue Feb 10 11:22:09 2026 A0: -584954122734909042992771515464547430832
  439. Tue Feb 10 11:22:09 2026 A1: 66743759577858627024219718969406150
  440. Tue Feb 10 11:22:09 2026 A2: 3687337175348343570465617487
  441. Tue Feb 10 11:22:09 2026 A3: -2783853692948146746521
  442. Tue Feb 10 11:22:09 2026 A4: -9504958443024
  443. Tue Feb 10 11:22:09 2026 A5: 8648640
  444. Tue Feb 10 11:22:09 2026 skew 1.00, size 5.581e-17, alpha -8.200, combined = 1.798e-15 rroots = 5
  445. Tue Feb 10 11:22:09 2026
  446. Tue Feb 10 11:22:09 2026 commencing linear algebra
  447. Tue Feb 10 11:22:09 2026 using VBITS=256
  448. Tue Feb 10 11:22:09 2026 skipping matrix build
  449. Tue Feb 10 11:22:21 2026 matrix starts at (0, 0)
  450. Tue Feb 10 11:22:24 2026 matrix is 16671911 x 16672084 (6230.8 MB) with weight 1921729530 (115.27/col)
  451. Tue Feb 10 11:22:24 2026 sparse part has weight 1433290663 (85.97/col)
  452. Tue Feb 10 11:22:24 2026 saving the first 240 matrix rows for later
  453. Tue Feb 10 11:22:29 2026 matrix includes 256 packed rows
  454. Tue Feb 10 11:22:36 2026 matrix is 16671671 x 16672084 (5667.0 MB) with weight 1304780457 (78.26/col)
  455. Tue Feb 10 11:22:36 2026 sparse part has weight 1218828856 (73.11/col)
  456. Tue Feb 10 11:22:36 2026 using GPU 0 (NVIDIA GeForce RTX 5060 Ti)
  457. Tue Feb 10 11:22:36 2026 selected card has CUDA arch 12.0
  458. Tue Feb 10 11:32:51 2026 commencing Lanczos iteration
  459. Tue Feb 10 11:32:51 2026 memory use: 13496.5 MB
  460. Tue Feb 10 11:34:04 2026 linear algebra at 0.2%, ETA 10h33m
  461. Tue Feb 10 11:35:50 2026 checking every 20000 dimensions, checkpointing every 1580000 dimensions
  462. Tue Feb 10 22:17:47 2026 lanczos halted after 65321 iterations (dim = 16671671)
  463. Tue Feb 10 22:20:49 2026 recovered 31 nontrivial dependencies
  464. Tue Feb 10 22:20:55 2026 BLanczosTime: 39526
  465. Tue Feb 10 22:20:55 2026 elapsed time 10:58:47
  466. Tue Feb 10 22:30:55 2026
  467. Tue Feb 10 22:30:55 2026
  468. Tue Feb 10 22:30:55 2026 Msieve v. 1.54 (SVN Unversioned directory)
  469. Tue Feb 10 22:30:55 2026 random seeds: 095633a7 68bb8df8
  470. Tue Feb 10 22:30:55 2026 Using 8 OpenMP threads
  471. Tue Feb 10 22:30:55 2026 factoring 4380704234061848049533175405315632347219824563907120571511014090102069172775192780583784718551845571562892018955479518208308255469018817072581892214992517348827306473685398579 (175 digits)
  472. Tue Feb 10 22:30:55 2026 searching for 15-digit factors
  473. Tue Feb 10 22:30:55 2026 commencing number field sieve (175-digit input)
  474. Tue Feb 10 22:30:55 2026 R0: -6560870746323245353886455627420482
  475. Tue Feb 10 22:30:55 2026 R1: 762074978196257261363
  476. Tue Feb 10 22:30:55 2026 A0: -584954122734909042992771515464547430832
  477. Tue Feb 10 22:30:55 2026 A1: 66743759577858627024219718969406150
  478. Tue Feb 10 22:30:55 2026 A2: 3687337175348343570465617487
  479. Tue Feb 10 22:30:55 2026 A3: -2783853692948146746521
  480. Tue Feb 10 22:30:55 2026 A4: -9504958443024
  481. Tue Feb 10 22:30:55 2026 A5: 8648640
  482. Tue Feb 10 22:30:55 2026 skew 1.00, size 5.581e-17, alpha -8.200, combined = 1.798e-15 rroots = 5
  483. Tue Feb 10 22:30:55 2026
  484. Tue Feb 10 22:30:55 2026 commencing square root phase
  485. Tue Feb 10 22:30:55 2026 reading relations for dependency 1
  486. Tue Feb 10 22:30:56 2026 read 8341173 cycles
  487. Tue Feb 10 22:31:06 2026 cycles contain 27447556 unique relations
  488. Tue Feb 10 22:32:30 2026 read 27447556 relations
  489. Tue Feb 10 22:34:01 2026 multiplying 27447556 relations
  490. Tue Feb 10 22:37:29 2026 multiply complete, coefficients have about 1645.92 million bits
  491. Tue Feb 10 22:37:32 2026 initial square root is modulo 24161801
  492. Tue Feb 10 22:44:31 2026 sqrtTime: 816
  493. Tue Feb 10 22:44:31 2026 p62 factor: 61292705169816664751990149131928296883028363804191803768443267
  494. Tue Feb 10 22:44:31 2026 p113 factor: 71471869644596914476179830071120100529338921144022463027623781826290396048456045468449249609251459390096658613137
  495. Tue Feb 10 22:44:31 2026 elapsed time 00:13:36
  496.  
Tags: math
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