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Oct 19th, 2025
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  1. Sat Oct 18 15:26:31 2025
  2. Sat Oct 18 15:26:31 2025
  3. Sat Oct 18 15:26:31 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Oct 18 15:26:31 2025 random seeds: 013ef9b5 d8fa74c7
  5. Sat Oct 18 15:26:31 2025 factoring 589400481171889976201118715331891710204479988209160294505592118515617089814162202415574043707693057510566071528729482520542807183834149906956397049299119374048233157187877081748749038502533546804326351 (201 digits)
  6. Sat Oct 18 15:26:33 2025 searching for 15-digit factors
  7. Sat Oct 18 15:26:34 2025 commencing number field sieve (201-digit input)
  8. Sat Oct 18 15:26:34 2025 R0: 928290137692181343665790389068646770922
  9. Sat Oct 18 15:26:34 2025 R1: -30467854169471491411
  10. Sat Oct 18 15:26:34 2025 A0: -1
  11. Sat Oct 18 15:26:34 2025 A1: 3
  12. Sat Oct 18 15:26:34 2025 A2: 6
  13. Sat Oct 18 15:26:34 2025 A3: -4
  14. Sat Oct 18 15:26:34 2025 A4: -5
  15. Sat Oct 18 15:26:34 2025 A5: 1
  16. Sat Oct 18 15:26:34 2025 A6: 1
  17. Sat Oct 18 15:26:34 2025 skew 1.00, size 1.656e-11, alpha 3.126, combined = 9.016e-13 rroots = 6
  18. Sat Oct 18 15:26:34 2025
  19. Sat Oct 18 15:26:34 2025 commencing relation filtering
  20. Sat Oct 18 15:26:34 2025 setting target matrix density to 108.0
  21. Sat Oct 18 15:26:34 2025 estimated available RAM is 15938.6 MB
  22. Sat Oct 18 15:26:34 2025 commencing duplicate removal, pass 1
  23. Sat Oct 18 15:35:26 2025 error -11 reading relation 46741295
  24. Sat Oct 18 15:52:33 2025 skipped 25 relations with b > 2^32
  25. Sat Oct 18 15:52:33 2025 skipped 2 relations with composite factors
  26. Sat Oct 18 15:52:33 2025 found 4832410 hash collisions in 147348504 relations
  27. Sat Oct 18 15:52:47 2025 added 2438358 free relations
  28. Sat Oct 18 15:52:47 2025 commencing duplicate removal, pass 2
  29. Sat Oct 18 15:54:04 2025 found 0 duplicates and 149786862 unique relations
  30. Sat Oct 18 15:54:04 2025 memory use: 389.2 MB
  31. Sat Oct 18 15:54:04 2025 reading ideals above 80019456
  32. Sat Oct 18 15:54:04 2025 commencing singleton removal, initial pass
  33. Sat Oct 18 16:16:30 2025 memory use: 3012.0 MB
  34. Sat Oct 18 16:16:30 2025 reading all ideals from disk
  35. Sat Oct 18 16:16:37 2025 memory use: 2809.6 MB
  36. Sat Oct 18 16:16:52 2025 commencing in-memory singleton removal
  37. Sat Oct 18 16:17:06 2025 begin with 149786862 relations and 122209263 unique ideals
  38. Sat Oct 18 16:19:30 2025 reduce to 102253591 relations and 70371459 ideals in 13 passes
  39. Sat Oct 18 16:19:30 2025 max relations containing the same ideal: 36
  40. Sat Oct 18 16:19:44 2025 reading ideals above 720000
  41. Sat Oct 18 16:19:44 2025 commencing singleton removal, initial pass
  42. Sat Oct 18 16:40:27 2025 memory use: 1506.0 MB
  43. Sat Oct 18 16:40:28 2025 reading all ideals from disk
  44. Sat Oct 18 16:40:37 2025 memory use: 3911.2 MB
  45. Sat Oct 18 16:40:58 2025 keeping 79213309 ideals with weight <= 200, target excess is 498454
  46. Sat Oct 18 16:41:22 2025 commencing in-memory singleton removal
  47. Sat Oct 18 16:41:39 2025 begin with 102253591 relations and 79213309 unique ideals
  48. Sat Oct 18 16:42:16 2025 reduce to 102253590 relations and 79213308 ideals in 2 passes
  49. Sat Oct 18 16:42:16 2025 max relations containing the same ideal: 200
  50. Sat Oct 18 16:43:45 2025 removing 8988576 relations and 6988576 ideals in 2000000 cliques
  51. Sat Oct 18 16:43:51 2025 commencing in-memory singleton removal
  52. Sat Oct 18 16:44:08 2025 begin with 93265014 relations and 79213308 unique ideals
  53. Sat Oct 18 16:46:43 2025 reduce to 92627474 relations and 71571375 ideals in 9 passes
  54. Sat Oct 18 16:46:43 2025 max relations containing the same ideal: 195
  55. Sat Oct 18 16:48:06 2025 removing 7068302 relations and 5068302 ideals in 2000000 cliques
  56. Sat Oct 18 16:48:11 2025 commencing in-memory singleton removal
  57. Sat Oct 18 16:48:26 2025 begin with 85559172 relations and 71571375 unique ideals
  58. Sat Oct 18 16:50:10 2025 reduce to 85120874 relations and 66055130 ideals in 7 passes
  59. Sat Oct 18 16:50:10 2025 max relations containing the same ideal: 187
  60. Sat Oct 18 16:51:16 2025 removing 6533330 relations and 4533330 ideals in 2000000 cliques
  61. Sat Oct 18 16:51:21 2025 commencing in-memory singleton removal
  62. Sat Oct 18 16:51:32 2025 begin with 78587544 relations and 66055130 unique ideals
  63. Sat Oct 18 16:52:59 2025 reduce to 78195153 relations and 61120605 ideals in 7 passes
  64. Sat Oct 18 16:52:59 2025 max relations containing the same ideal: 178
  65. Sat Oct 18 16:53:59 2025 removing 6270436 relations and 4270436 ideals in 2000000 cliques
  66. Sat Oct 18 16:54:04 2025 commencing in-memory singleton removal
  67. Sat Oct 18 16:54:14 2025 begin with 71924717 relations and 61120605 unique ideals
  68. Sat Oct 18 16:55:31 2025 reduce to 71545691 relations and 56462103 ideals in 7 passes
  69. Sat Oct 18 16:55:31 2025 max relations containing the same ideal: 167
  70. Sat Oct 18 16:56:27 2025 removing 6113516 relations and 4113516 ideals in 2000000 cliques
  71. Sat Oct 18 16:56:31 2025 commencing in-memory singleton removal
  72. Sat Oct 18 16:56:40 2025 begin with 65432175 relations and 56462103 unique ideals
  73. Sat Oct 18 16:57:50 2025 reduce to 65047734 relations and 51954384 ideals in 7 passes
  74. Sat Oct 18 16:57:50 2025 max relations containing the same ideal: 158
  75. Sat Oct 18 16:58:40 2025 removing 6013236 relations and 4013236 ideals in 2000000 cliques
  76. Sat Oct 18 16:58:44 2025 commencing in-memory singleton removal
  77. Sat Oct 18 16:58:52 2025 begin with 59034498 relations and 51954384 unique ideals
  78. Sat Oct 18 17:00:03 2025 reduce to 58633479 relations and 47529314 ideals in 8 passes
  79. Sat Oct 18 17:00:03 2025 max relations containing the same ideal: 146
  80. Sat Oct 18 17:00:49 2025 removing 5961959 relations and 3961959 ideals in 2000000 cliques
  81. Sat Oct 18 17:00:52 2025 commencing in-memory singleton removal
  82. Sat Oct 18 17:00:59 2025 begin with 52671520 relations and 47529314 unique ideals
  83. Sat Oct 18 17:01:54 2025 reduce to 52242808 relations and 43125557 ideals in 7 passes
  84. Sat Oct 18 17:01:54 2025 max relations containing the same ideal: 138
  85. Sat Oct 18 17:02:35 2025 removing 5944358 relations and 3944358 ideals in 2000000 cliques
  86. Sat Oct 18 17:02:38 2025 commencing in-memory singleton removal
  87. Sat Oct 18 17:02:44 2025 begin with 46298450 relations and 43125557 unique ideals
  88. Sat Oct 18 17:03:38 2025 reduce to 45822982 relations and 38689813 ideals in 8 passes
  89. Sat Oct 18 17:03:38 2025 max relations containing the same ideal: 125
  90. Sat Oct 18 17:04:14 2025 removing 5958428 relations and 3958428 ideals in 2000000 cliques
  91. Sat Oct 18 17:04:17 2025 commencing in-memory singleton removal
  92. Sat Oct 18 17:04:22 2025 begin with 39864554 relations and 38689813 unique ideals
  93. Sat Oct 18 17:05:08 2025 reduce to 39316465 relations and 34162423 ideals in 8 passes
  94. Sat Oct 18 17:05:08 2025 max relations containing the same ideal: 113
  95. Sat Oct 18 17:05:38 2025 removing 6009119 relations and 4009119 ideals in 2000000 cliques
  96. Sat Oct 18 17:05:41 2025 commencing in-memory singleton removal
  97. Sat Oct 18 17:05:46 2025 begin with 33307346 relations and 34162423 unique ideals
  98. Sat Oct 18 17:06:23 2025 reduce to 32651988 relations and 29468753 ideals in 8 passes
  99. Sat Oct 18 17:06:23 2025 max relations containing the same ideal: 100
  100. Sat Oct 18 17:06:49 2025 removing 6092337 relations and 4092337 ideals in 2000000 cliques
  101. Sat Oct 18 17:06:51 2025 commencing in-memory singleton removal
  102. Sat Oct 18 17:06:55 2025 begin with 26559651 relations and 29468753 unique ideals
  103. Sat Oct 18 17:07:24 2025 reduce to 25723164 relations and 24494686 ideals in 8 passes
  104. Sat Oct 18 17:07:24 2025 max relations containing the same ideal: 87
  105. Sat Oct 18 17:07:44 2025 removing 2544522 relations and 1894251 ideals in 650271 cliques
  106. Sat Oct 18 17:07:46 2025 commencing in-memory singleton removal
  107. Sat Oct 18 17:07:49 2025 begin with 23178642 relations and 24494686 unique ideals
  108. Sat Oct 18 17:08:14 2025 reduce to 22961749 relations and 22378341 ideals in 8 passes
  109. Sat Oct 18 17:08:14 2025 max relations containing the same ideal: 83
  110. Sat Oct 18 17:08:37 2025 relations with 0 large ideals: 38040
  111. Sat Oct 18 17:08:37 2025 relations with 1 large ideals: 8170
  112. Sat Oct 18 17:08:37 2025 relations with 2 large ideals: 89545
  113. Sat Oct 18 17:08:37 2025 relations with 3 large ideals: 595596
  114. Sat Oct 18 17:08:37 2025 relations with 4 large ideals: 2144632
  115. Sat Oct 18 17:08:37 2025 relations with 5 large ideals: 4583957
  116. Sat Oct 18 17:08:37 2025 relations with 6 large ideals: 6083456
  117. Sat Oct 18 17:08:37 2025 relations with 7+ large ideals: 9418353
  118. Sat Oct 18 17:08:37 2025 commencing 2-way merge
  119. Sat Oct 18 17:09:00 2025 reduce to 15042435 relation sets and 14459026 unique ideals
  120. Sat Oct 18 17:09:00 2025 commencing full merge
  121. Sat Oct 18 17:18:10 2025 memory use: 2030.2 MB
  122. Sat Oct 18 17:18:12 2025 found 6974238 cycles, need 6943226
  123. Sat Oct 18 17:18:15 2025 weight of 6943226 cycles is about 749876945 (108.00/cycle)
  124. Sat Oct 18 17:18:15 2025 distribution of cycle lengths:
  125. Sat Oct 18 17:18:15 2025 1 relations: 399095
  126. Sat Oct 18 17:18:15 2025 2 relations: 477644
  127. Sat Oct 18 17:18:15 2025 3 relations: 519376
  128. Sat Oct 18 17:18:15 2025 4 relations: 523646
  129. Sat Oct 18 17:18:15 2025 5 relations: 525470
  130. Sat Oct 18 17:18:15 2025 6 relations: 514508
  131. Sat Oct 18 17:18:15 2025 7 relations: 499240
  132. Sat Oct 18 17:18:15 2025 8 relations: 472787
  133. Sat Oct 18 17:18:15 2025 9 relations: 439092
  134. Sat Oct 18 17:18:15 2025 10+ relations: 2572368
  135. Sat Oct 18 17:18:15 2025 heaviest cycle: 28 relations
  136. Sat Oct 18 17:18:18 2025 commencing cycle optimization
  137. Sat Oct 18 17:18:41 2025 start with 58662954 relations
  138. Sat Oct 18 17:22:01 2025 pruned 2650360 relations
  139. Sat Oct 18 17:22:01 2025 memory use: 1553.3 MB
  140. Sat Oct 18 17:22:01 2025 distribution of cycle lengths:
  141. Sat Oct 18 17:22:01 2025 1 relations: 399095
  142. Sat Oct 18 17:22:01 2025 2 relations: 487184
  143. Sat Oct 18 17:22:01 2025 3 relations: 539067
  144. Sat Oct 18 17:22:01 2025 4 relations: 543437
  145. Sat Oct 18 17:22:01 2025 5 relations: 550162
  146. Sat Oct 18 17:22:01 2025 6 relations: 539127
  147. Sat Oct 18 17:22:01 2025 7 relations: 525323
  148. Sat Oct 18 17:22:01 2025 8 relations: 495186
  149. Sat Oct 18 17:22:01 2025 9 relations: 459536
  150. Sat Oct 18 17:22:01 2025 10+ relations: 2405109
  151. Sat Oct 18 17:22:01 2025 heaviest cycle: 28 relations
  152. Sat Oct 18 17:22:20 2025 RelProcTime: 6946
  153. Sat Oct 18 17:22:20 2025
  154. Sat Oct 18 17:22:20 2025 commencing linear algebra
  155. Sat Oct 18 17:22:20 2025 using VBITS=512
  156. Sat Oct 18 17:22:22 2025 read 6943226 cycles
  157. Sat Oct 18 17:22:43 2025 cycles contain 22611940 unique relations
  158. Sat Oct 18 17:25:36 2025 read 22611940 relations
  159. Sat Oct 18 17:26:30 2025 using 20 quadratic characters above 4294917295
  160. Sat Oct 18 17:28:35 2025 building initial matrix
  161. Sat Oct 18 17:36:40 2025 memory use: 2762.0 MB
  162. Sat Oct 18 17:36:46 2025 read 6943226 cycles
  163. Sat Oct 18 17:36:48 2025 matrix is 6943049 x 6943226 (2944.5 MB) with weight 834928128 (120.25/col)
  164. Sat Oct 18 17:36:48 2025 sparse part has weight 702455343 (101.17/col)
  165. Sat Oct 18 17:38:52 2025 filtering completed in 2 passes
  166. Sat Oct 18 17:38:54 2025 matrix is 6942770 x 6942911 (2944.5 MB) with weight 834917621 (120.25/col)
  167. Sat Oct 18 17:38:54 2025 sparse part has weight 702450782 (101.18/col)
  168. Sat Oct 18 17:39:31 2025 matrix starts at (0, 0)
  169. Sat Oct 18 17:39:32 2025 matrix is 6942770 x 6942911 (2944.5 MB) with weight 834917621 (120.25/col)
  170. Sat Oct 18 17:39:32 2025 sparse part has weight 702450782 (101.18/col)
  171. Sat Oct 18 17:39:32 2025 saving the first 496 matrix rows for later
  172. Sat Oct 18 17:39:36 2025 matrix includes 512 packed rows
  173. Sat Oct 18 17:39:45 2025 matrix is 6942274 x 6942911 (2813.7 MB) with weight 603579173 (86.93/col)
  174. Sat Oct 18 17:39:45 2025 sparse part has weight 570965630 (82.24/col)
  175. Sat Oct 18 18:31:51 2025
  176. Sat Oct 18 18:31:51 2025
  177. Sat Oct 18 18:31:51 2025 Msieve v. 1.54 (SVN unknown)
  178. Sat Oct 18 18:31:51 2025 random seeds: bebe3181 06eb0297
  179. Sat Oct 18 18:31:51 2025 factoring 589400481171889976201118715331891710204479988209160294505592118515617089814162202415574043707693057510566071528729482520542807183834149906956397049299119374048233157187877081748749038502533546804326351 (201 digits)
  180. Sat Oct 18 18:31:52 2025 no P-1/P+1/ECM available, skipping
  181. Sat Oct 18 18:31:52 2025 commencing number field sieve (201-digit input)
  182. Sat Oct 18 18:31:52 2025 R0: 928290137692181343665790389068646770922
  183. Sat Oct 18 18:31:52 2025 R1: -30467854169471491411
  184. Sat Oct 18 18:31:52 2025 A0: -1
  185. Sat Oct 18 18:31:52 2025 A1: 3
  186. Sat Oct 18 18:31:52 2025 A2: 6
  187. Sat Oct 18 18:31:52 2025 A3: -4
  188. Sat Oct 18 18:31:52 2025 A4: -5
  189. Sat Oct 18 18:31:52 2025 A5: 1
  190. Sat Oct 18 18:31:52 2025 A6: 1
  191. Sat Oct 18 18:31:52 2025 skew 1.00, size 1.656e-11, alpha 3.126, combined = 9.016e-13 rroots = 6
  192. Sat Oct 18 18:31:52 2025
  193. Sat Oct 18 18:31:52 2025 commencing linear algebra
  194. Sat Oct 18 18:31:52 2025 using VBITS=512
  195. Sat Oct 18 18:31:52 2025 skipping matrix build
  196. Sat Oct 18 18:31:59 2025 matrix starts at (0, 0)
  197. Sat Oct 18 18:32:00 2025 matrix is 6942770 x 6942911 (2944.5 MB) with weight 834917621 (120.25/col)
  198. Sat Oct 18 18:32:00 2025 sparse part has weight 702450782 (101.18/col)
  199. Sat Oct 18 18:32:00 2025 saving the first 496 matrix rows for later
  200. Sat Oct 18 18:32:02 2025 matrix includes 512 packed rows
  201. Sat Oct 18 18:32:06 2025 matrix is 6942274 x 6942911 (2813.7 MB) with weight 603579173 (86.93/col)
  202. Sat Oct 18 18:32:06 2025 sparse part has weight 570965630 (82.24/col)
  203. Sat Oct 18 18:32:06 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  204. Sat Oct 18 18:32:06 2025 selected card has CUDA arch 8.6
  205. Sat Oct 18 18:32:43 2025 commencing Lanczos iteration
  206. Sat Oct 18 18:32:44 2025 memory use: 7852.2 MB
  207. Sat Oct 18 18:33:09 2025 linear algebra at 0.2%, ETA 3h 0m
  208. Sat Oct 18 18:33:10 2025 checkpointing every 2290000 dimensions
  209. Sat Oct 18 21:58:48 2025 lanczos halted after 13581 iterations (dim = 6942274)
  210. Sat Oct 18 21:59:56 2025 recovered 34 nontrivial dependencies
  211. Sat Oct 18 21:59:56 2025 BLanczosTime: 12484
  212. Sat Oct 18 21:59:56 2025 elapsed time 03:28:05
  213. Sat Oct 18 22:00:04 2025
  214. Sat Oct 18 22:00:04 2025
  215. Sat Oct 18 22:00:04 2025 Msieve v. 1.54 (SVN unknown)
  216. Sat Oct 18 22:00:04 2025 random seeds: 3d1429f0 526badcc
  217. Sat Oct 18 22:00:04 2025 factoring 589400481171889976201118715331891710204479988209160294505592118515617089814162202415574043707693057510566071528729482520542807183834149906956397049299119374048233157187877081748749038502533546804326351 (201 digits)
  218. Sat Oct 18 22:00:05 2025 no P-1/P+1/ECM available, skipping
  219. Sat Oct 18 22:00:05 2025 commencing number field sieve (201-digit input)
  220. Sat Oct 18 22:00:05 2025 R0: 928290137692181343665790389068646770922
  221. Sat Oct 18 22:00:05 2025 R1: -30467854169471491411
  222. Sat Oct 18 22:00:05 2025 A0: -1
  223. Sat Oct 18 22:00:05 2025 A1: 3
  224. Sat Oct 18 22:00:05 2025 A2: 6
  225. Sat Oct 18 22:00:05 2025 A3: -4
  226. Sat Oct 18 22:00:05 2025 A4: -5
  227. Sat Oct 18 22:00:05 2025 A5: 1
  228. Sat Oct 18 22:00:05 2025 A6: 1
  229. Sat Oct 18 22:00:05 2025 skew 1.00, size 1.656e-11, alpha 3.126, combined = 9.016e-13 rroots = 6
  230. Sat Oct 18 22:00:05 2025
  231. Sat Oct 18 22:00:05 2025 commencing square root phase
  232. Sat Oct 18 22:00:05 2025 reading relations for dependency 1
  233. Sat Oct 18 22:00:05 2025 read 3473090 cycles
  234. Sat Oct 18 22:00:11 2025 cycles contain 11310346 unique relations
  235. Sat Oct 18 22:01:05 2025 read 11310346 relations
  236. Sat Oct 18 22:01:40 2025 multiplying 11310346 relations
  237. Sat Oct 18 22:07:03 2025 multiply complete, coefficients have about 276.35 million bits
  238. Sat Oct 18 22:07:05 2025 initial square root is modulo 90989
  239. Sat Oct 18 22:13:11 2025 GCD is 1, no factor found
  240. Sat Oct 18 22:13:11 2025 reading relations for dependency 2
  241. Sat Oct 18 22:13:12 2025 read 3472550 cycles
  242. Sat Oct 18 22:13:17 2025 cycles contain 11308086 unique relations
  243. Sat Oct 18 22:14:10 2025 read 11308086 relations
  244. Sat Oct 18 22:14:45 2025 multiplying 11308086 relations
  245. Sat Oct 18 22:20:06 2025 multiply complete, coefficients have about 276.30 million bits
  246. Sat Oct 18 22:20:08 2025 initial square root is modulo 90803
  247. Sat Oct 18 22:26:14 2025 GCD is 1, no factor found
  248. Sat Oct 18 22:26:14 2025 reading relations for dependency 3
  249. Sat Oct 18 22:26:15 2025 read 3469989 cycles
  250. Sat Oct 18 22:26:20 2025 cycles contain 11303050 unique relations
  251. Sat Oct 18 22:27:13 2025 read 11303050 relations
  252. Sat Oct 18 22:27:48 2025 multiplying 11303050 relations
  253. Sat Oct 18 22:33:11 2025 multiply complete, coefficients have about 276.16 million bits
  254. Sat Oct 18 22:33:12 2025 initial square root is modulo 90227
  255. Sat Oct 18 22:39:20 2025 sqrtTime: 2355
  256. Sat Oct 18 22:39:20 2025 p50 factor: 21461131253507824353966387261861098245634506326527
  257. Sat Oct 18 22:39:20 2025 p152 factor: 27463625948215213503796365545143723635402504940690602985873200238474412714775134215697525983868707972794088549361890858741125999703649426489634644734513
  258. Sat Oct 18 22:39:20 2025 elapsed time 00:39:16
  259.  
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