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Oct 15th, 2025
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  1. Tue Oct 14 12:51:50 2025
  2. Tue Oct 14 12:51:50 2025
  3. Tue Oct 14 12:51:50 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Oct 14 12:51:50 2025 random seeds: 861db629 7d277360
  5. Tue Oct 14 12:51:50 2025 factoring 302490020062154199167227380112995381186887464409744287104067764577895108430325824459028499710849443361442314408244386487815452221292590891611033933688690236451622366186973910383 (177 digits)
  6. Tue Oct 14 12:51:51 2025 searching for 15-digit factors
  7. Tue Oct 14 12:51:52 2025 commencing number field sieve (177-digit input)
  8. Tue Oct 14 12:51:52 2025 R0: 92179932134608058424756556915758653042
  9. Tue Oct 14 12:51:52 2025 R1: -9601038075885755929
  10. Tue Oct 14 12:51:52 2025 A0: -1
  11. Tue Oct 14 12:51:52 2025 A1: 3
  12. Tue Oct 14 12:51:52 2025 A2: 6
  13. Tue Oct 14 12:51:52 2025 A3: -4
  14. Tue Oct 14 12:51:52 2025 A4: -5
  15. Tue Oct 14 12:51:52 2025 A5: 1
  16. Tue Oct 14 12:51:52 2025 A6: 1
  17. Tue Oct 14 12:51:52 2025 skew 1.37, size 3.204e-11, alpha 3.126, combined = 1.464e-12 rroots = 6
  18. Tue Oct 14 12:51:52 2025
  19. Tue Oct 14 12:51:52 2025 commencing relation filtering
  20. Tue Oct 14 12:51:52 2025 setting target matrix density to 104.0
  21. Tue Oct 14 12:51:52 2025 estimated available RAM is 15938.6 MB
  22. Tue Oct 14 12:51:52 2025 commencing duplicate removal, pass 1
  23. Tue Oct 14 13:08:35 2025 skipped 2 relations with b > 2^32
  24. Tue Oct 14 13:08:35 2025 skipped 1 relations with composite factors
  25. Tue Oct 14 13:08:35 2025 found 4334969 hash collisions in 99490813 relations
  26. Tue Oct 14 13:08:50 2025 added 2438358 free relations
  27. Tue Oct 14 13:08:50 2025 commencing duplicate removal, pass 2
  28. Tue Oct 14 13:09:42 2025 found 0 duplicates and 101929171 unique relations
  29. Tue Oct 14 13:09:42 2025 memory use: 261.2 MB
  30. Tue Oct 14 13:09:42 2025 reading ideals above 64028672
  31. Tue Oct 14 13:09:42 2025 commencing singleton removal, initial pass
  32. Tue Oct 14 13:24:15 2025 memory use: 2756.0 MB
  33. Tue Oct 14 13:24:16 2025 reading all ideals from disk
  34. Tue Oct 14 13:24:21 2025 memory use: 1855.7 MB
  35. Tue Oct 14 13:24:30 2025 commencing in-memory singleton removal
  36. Tue Oct 14 13:24:39 2025 begin with 101929171 relations and 84512798 unique ideals
  37. Tue Oct 14 13:26:07 2025 reduce to 68778852 relations and 48135796 ideals in 13 passes
  38. Tue Oct 14 13:26:07 2025 max relations containing the same ideal: 31
  39. Tue Oct 14 13:26:17 2025 reading ideals above 720000
  40. Tue Oct 14 13:26:17 2025 commencing singleton removal, initial pass
  41. Tue Oct 14 13:40:08 2025 memory use: 1506.0 MB
  42. Tue Oct 14 13:40:08 2025 reading all ideals from disk
  43. Tue Oct 14 13:40:15 2025 memory use: 2576.3 MB
  44. Tue Oct 14 13:40:28 2025 keeping 55369041 ideals with weight <= 200, target excess is 340030
  45. Tue Oct 14 13:40:41 2025 commencing in-memory singleton removal
  46. Tue Oct 14 13:40:53 2025 begin with 68778852 relations and 55369041 unique ideals
  47. Tue Oct 14 13:41:16 2025 reduce to 68778849 relations and 55369038 ideals in 2 passes
  48. Tue Oct 14 13:41:16 2025 max relations containing the same ideal: 200
  49. Tue Oct 14 13:42:14 2025 removing 8579910 relations and 6579910 ideals in 2000000 cliques
  50. Tue Oct 14 13:42:18 2025 commencing in-memory singleton removal
  51. Tue Oct 14 13:42:29 2025 begin with 60198939 relations and 55369038 unique ideals
  52. Tue Oct 14 13:43:49 2025 reduce to 59225203 relations and 47779841 ideals in 8 passes
  53. Tue Oct 14 13:43:49 2025 max relations containing the same ideal: 191
  54. Tue Oct 14 13:44:38 2025 removing 6991004 relations and 4991004 ideals in 2000000 cliques
  55. Tue Oct 14 13:44:42 2025 commencing in-memory singleton removal
  56. Tue Oct 14 13:44:50 2025 begin with 52234199 relations and 47779841 unique ideals
  57. Tue Oct 14 13:46:01 2025 reduce to 51534961 relations and 42065296 ideals in 8 passes
  58. Tue Oct 14 13:46:01 2025 max relations containing the same ideal: 176
  59. Tue Oct 14 13:46:45 2025 removing 6527111 relations and 4527111 ideals in 2000000 cliques
  60. Tue Oct 14 13:46:48 2025 commencing in-memory singleton removal
  61. Tue Oct 14 13:46:55 2025 begin with 45007850 relations and 42065296 unique ideals
  62. Tue Oct 14 13:47:46 2025 reduce to 44339538 relations and 36845059 ideals in 7 passes
  63. Tue Oct 14 13:47:46 2025 max relations containing the same ideal: 159
  64. Tue Oct 14 13:48:23 2025 removing 6323624 relations and 4323624 ideals in 2000000 cliques
  65. Tue Oct 14 13:48:27 2025 commencing in-memory singleton removal
  66. Tue Oct 14 13:48:33 2025 begin with 38015914 relations and 36845059 unique ideals
  67. Tue Oct 14 13:49:15 2025 reduce to 37313263 relations and 31789499 ideals in 7 passes
  68. Tue Oct 14 13:49:15 2025 max relations containing the same ideal: 143
  69. Tue Oct 14 13:49:46 2025 removing 6228972 relations and 4228972 ideals in 2000000 cliques
  70. Tue Oct 14 13:49:49 2025 commencing in-memory singleton removal
  71. Tue Oct 14 13:49:54 2025 begin with 31084291 relations and 31789499 unique ideals
  72. Tue Oct 14 13:50:33 2025 reduce to 30300903 relations and 26738889 ideals in 8 passes
  73. Tue Oct 14 13:50:33 2025 max relations containing the same ideal: 124
  74. Tue Oct 14 13:50:59 2025 removing 6193248 relations and 4193249 ideals in 2000000 cliques
  75. Tue Oct 14 13:51:02 2025 commencing in-memory singleton removal
  76. Tue Oct 14 13:51:06 2025 begin with 24107655 relations and 26738889 unique ideals
  77. Tue Oct 14 13:51:33 2025 reduce to 23180567 relations and 21562472 ideals in 8 passes
  78. Tue Oct 14 13:51:33 2025 max relations containing the same ideal: 104
  79. Tue Oct 14 13:51:54 2025 removing 4190815 relations and 2967155 ideals in 1223660 cliques
  80. Tue Oct 14 13:51:56 2025 commencing in-memory singleton removal
  81. Tue Oct 14 13:51:59 2025 begin with 18989752 relations and 21562472 unique ideals
  82. Tue Oct 14 13:52:23 2025 reduce to 18421569 relations and 17998868 ideals in 8 passes
  83. Tue Oct 14 13:52:23 2025 max relations containing the same ideal: 89
  84. Tue Oct 14 13:52:39 2025 removing 192018 relations and 163752 ideals in 28266 cliques
  85. Tue Oct 14 13:52:40 2025 commencing in-memory singleton removal
  86. Tue Oct 14 13:52:43 2025 begin with 18229551 relations and 17998868 unique ideals
  87. Tue Oct 14 13:52:57 2025 reduce to 18228002 relations and 17833565 ideals in 5 passes
  88. Tue Oct 14 13:52:57 2025 max relations containing the same ideal: 89
  89. Tue Oct 14 13:53:03 2025 relations with 0 large ideals: 24890
  90. Tue Oct 14 13:53:03 2025 relations with 1 large ideals: 6401
  91. Tue Oct 14 13:53:03 2025 relations with 2 large ideals: 45477
  92. Tue Oct 14 13:53:03 2025 relations with 3 large ideals: 328484
  93. Tue Oct 14 13:53:03 2025 relations with 4 large ideals: 1322233
  94. Tue Oct 14 13:53:03 2025 relations with 5 large ideals: 3160620
  95. Tue Oct 14 13:53:03 2025 relations with 6 large ideals: 4694833
  96. Tue Oct 14 13:53:03 2025 relations with 7+ large ideals: 8645064
  97. Tue Oct 14 13:53:03 2025 commencing 2-way merge
  98. Tue Oct 14 13:53:23 2025 reduce to 11902731 relation sets and 11508294 unique ideals
  99. Tue Oct 14 13:53:23 2025 commencing full merge
  100. Tue Oct 14 14:01:22 2025 memory use: 1642.5 MB
  101. Tue Oct 14 14:01:24 2025 found 5609716 cycles, need 5592494
  102. Tue Oct 14 14:01:27 2025 weight of 5592494 cycles is about 581922022 (104.05/cycle)
  103. Tue Oct 14 14:01:27 2025 distribution of cycle lengths:
  104. Tue Oct 14 14:01:27 2025 1 relations: 326908
  105. Tue Oct 14 14:01:27 2025 2 relations: 409052
  106. Tue Oct 14 14:01:27 2025 3 relations: 447967
  107. Tue Oct 14 14:01:27 2025 4 relations: 447489
  108. Tue Oct 14 14:01:27 2025 5 relations: 441734
  109. Tue Oct 14 14:01:27 2025 6 relations: 428118
  110. Tue Oct 14 14:01:27 2025 7 relations: 408245
  111. Tue Oct 14 14:01:27 2025 8 relations: 380877
  112. Tue Oct 14 14:01:27 2025 9 relations: 349699
  113. Tue Oct 14 14:01:27 2025 10+ relations: 1952405
  114. Tue Oct 14 14:01:27 2025 heaviest cycle: 28 relations
  115. Tue Oct 14 14:01:29 2025 commencing cycle optimization
  116. Tue Oct 14 14:01:50 2025 start with 45942064 relations
  117. Tue Oct 14 14:04:32 2025 pruned 1968671 relations
  118. Tue Oct 14 14:04:32 2025 memory use: 1230.8 MB
  119. Tue Oct 14 14:04:32 2025 distribution of cycle lengths:
  120. Tue Oct 14 14:04:32 2025 1 relations: 326908
  121. Tue Oct 14 14:04:32 2025 2 relations: 417380
  122. Tue Oct 14 14:04:32 2025 3 relations: 464500
  123. Tue Oct 14 14:04:32 2025 4 relations: 463980
  124. Tue Oct 14 14:04:32 2025 5 relations: 462226
  125. Tue Oct 14 14:04:32 2025 6 relations: 446513
  126. Tue Oct 14 14:04:32 2025 7 relations: 428133
  127. Tue Oct 14 14:04:32 2025 8 relations: 396807
  128. Tue Oct 14 14:04:32 2025 9 relations: 362694
  129. Tue Oct 14 14:04:32 2025 10+ relations: 1823353
  130. Tue Oct 14 14:04:32 2025 heaviest cycle: 28 relations
  131. Tue Oct 14 14:04:48 2025 RelProcTime: 4376
  132. Tue Oct 14 14:04:48 2025
  133. Tue Oct 14 14:04:48 2025 commencing linear algebra
  134. Tue Oct 14 14:04:48 2025 using VBITS=512
  135. Tue Oct 14 14:04:49 2025 read 5592494 cycles
  136. Tue Oct 14 14:05:05 2025 cycles contain 18004938 unique relations
  137. Tue Oct 14 14:07:25 2025 read 18004938 relations
  138. Tue Oct 14 14:08:08 2025 using 20 quadratic characters above 4294917295
  139. Tue Oct 14 14:09:49 2025 building initial matrix
  140. Tue Oct 14 14:16:28 2025 memory use: 2219.6 MB
  141. Tue Oct 14 14:16:32 2025 read 5592494 cycles
  142. Tue Oct 14 14:16:33 2025 matrix is 5592317 x 5592494 (2300.2 MB) with weight 653725291 (116.89/col)
  143. Tue Oct 14 14:16:33 2025 sparse part has weight 547055476 (97.82/col)
  144. Tue Oct 14 14:18:15 2025 filtering completed in 2 passes
  145. Tue Oct 14 14:18:17 2025 matrix is 5592152 x 5592295 (2300.2 MB) with weight 653720303 (116.90/col)
  146. Tue Oct 14 14:18:17 2025 sparse part has weight 547054118 (97.82/col)
  147. Tue Oct 14 14:18:48 2025 matrix starts at (0, 0)
  148. Tue Oct 14 14:18:49 2025 matrix is 5592152 x 5592295 (2300.2 MB) with weight 653720303 (116.90/col)
  149. Tue Oct 14 14:18:49 2025 sparse part has weight 547054118 (97.82/col)
  150. Tue Oct 14 14:18:49 2025 saving the first 496 matrix rows for later
  151. Tue Oct 14 14:18:52 2025 matrix includes 512 packed rows
  152. Tue Oct 14 14:19:00 2025 matrix is 5591656 x 5592295 (2202.3 MB) with weight 468915470 (83.85/col)
  153. Tue Oct 14 14:19:00 2025 sparse part has weight 443093585 (79.23/col)
  154. Tue Oct 14 16:24:01 2025
  155. Tue Oct 14 16:24:01 2025
  156. Tue Oct 14 16:24:01 2025 Msieve v. 1.54 (SVN unknown)
  157. Tue Oct 14 16:24:01 2025 random seeds: 71b134a4 d29d088b
  158. Tue Oct 14 16:24:01 2025 factoring 302490020062154199167227380112995381186887464409744287104067764577895108430325824459028499710849443361442314408244386487815452221292590891611033933688690236451622366186973910383 (177 digits)
  159. Tue Oct 14 16:24:01 2025 no P-1/P+1/ECM available, skipping
  160. Tue Oct 14 16:24:01 2025 commencing number field sieve (177-digit input)
  161. Tue Oct 14 16:24:01 2025 R0: 92179932134608058424756556915758653042
  162. Tue Oct 14 16:24:01 2025 R1: -9601038075885755929
  163. Tue Oct 14 16:24:01 2025 A0: -1
  164. Tue Oct 14 16:24:01 2025 A1: 3
  165. Tue Oct 14 16:24:01 2025 A2: 6
  166. Tue Oct 14 16:24:01 2025 A3: -4
  167. Tue Oct 14 16:24:01 2025 A4: -5
  168. Tue Oct 14 16:24:01 2025 A5: 1
  169. Tue Oct 14 16:24:01 2025 A6: 1
  170. Tue Oct 14 16:24:01 2025 skew 1.37, size 3.204e-11, alpha 3.126, combined = 1.464e-12 rroots = 6
  171. Tue Oct 14 16:24:01 2025
  172. Tue Oct 14 16:24:01 2025 commencing linear algebra
  173. Tue Oct 14 16:24:01 2025 using VBITS=512
  174. Tue Oct 14 16:24:01 2025 skipping matrix build
  175. Tue Oct 14 16:24:06 2025 matrix starts at (0, 0)
  176. Tue Oct 14 16:24:07 2025 matrix is 5592152 x 5592295 (2300.2 MB) with weight 653720303 (116.90/col)
  177. Tue Oct 14 16:24:07 2025 sparse part has weight 547054118 (97.82/col)
  178. Tue Oct 14 16:24:07 2025 saving the first 496 matrix rows for later
  179. Tue Oct 14 16:24:08 2025 matrix includes 512 packed rows
  180. Tue Oct 14 16:24:11 2025 matrix is 5591656 x 5592295 (2202.3 MB) with weight 468915470 (83.85/col)
  181. Tue Oct 14 16:24:11 2025 sparse part has weight 443093585 (79.23/col)
  182. Tue Oct 14 16:24:12 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  183. Tue Oct 14 16:24:12 2025 selected card has CUDA arch 8.6
  184. Tue Oct 14 16:24:40 2025 commencing Lanczos iteration
  185. Tue Oct 14 16:24:40 2025 memory use: 6153.8 MB
  186. Tue Oct 14 16:25:00 2025 linear algebra at 0.3%, ETA 1h55m
  187. Tue Oct 14 16:25:01 2025 checkpointing every 2860000 dimensions
  188. Tue Oct 14 18:34:21 2025 lanczos halted after 10939 iterations (dim = 5591653)
  189. Tue Oct 14 18:36:32 2025 recovered 33 nontrivial dependencies
  190. Tue Oct 14 18:36:33 2025 BLanczosTime: 7952
  191. Tue Oct 14 18:36:33 2025 elapsed time 02:12:32
  192. Tue Oct 14 19:32:34 2025
  193. Tue Oct 14 19:32:34 2025
  194. Tue Oct 14 19:32:34 2025 Msieve v. 1.54 (SVN unknown)
  195. Tue Oct 14 19:32:34 2025 random seeds: 87b90619 1ffe5c2e
  196. Tue Oct 14 19:32:34 2025 factoring 302490020062154199167227380112995381186887464409744287104067764577895108430325824459028499710849443361442314408244386487815452221292590891611033933688690236451622366186973910383 (177 digits)
  197. Tue Oct 14 19:32:35 2025 no P-1/P+1/ECM available, skipping
  198. Tue Oct 14 19:32:35 2025 commencing number field sieve (177-digit input)
  199. Tue Oct 14 19:32:35 2025 R0: 92179932134608058424756556915758653042
  200. Tue Oct 14 19:32:35 2025 R1: -9601038075885755929
  201. Tue Oct 14 19:32:35 2025 A0: -1
  202. Tue Oct 14 19:32:35 2025 A1: 3
  203. Tue Oct 14 19:32:35 2025 A2: 6
  204. Tue Oct 14 19:32:35 2025 A3: -4
  205. Tue Oct 14 19:32:35 2025 A4: -5
  206. Tue Oct 14 19:32:35 2025 A5: 1
  207. Tue Oct 14 19:32:35 2025 A6: 1
  208. Tue Oct 14 19:32:35 2025 skew 1.37, size 3.204e-11, alpha 3.126, combined = 1.464e-12 rroots = 6
  209. Tue Oct 14 19:32:35 2025
  210. Tue Oct 14 19:32:35 2025 commencing square root phase
  211. Tue Oct 14 19:32:35 2025 reading relations for dependency 1
  212. Tue Oct 14 19:32:35 2025 read 2797755 cycles
  213. Tue Oct 14 19:32:39 2025 cycles contain 9006904 unique relations
  214. Tue Oct 14 19:33:17 2025 read 9006904 relations
  215. Tue Oct 14 19:33:49 2025 multiplying 9006904 relations
  216. Tue Oct 14 19:38:01 2025 multiply complete, coefficients have about 218.33 million bits
  217. Tue Oct 14 19:38:02 2025 initial square root is modulo 68426053
  218. Tue Oct 14 19:42:49 2025 GCD is N, no factor found
  219. Tue Oct 14 19:42:49 2025 reading relations for dependency 2
  220. Tue Oct 14 19:42:49 2025 read 2796213 cycles
  221. Tue Oct 14 19:42:54 2025 cycles contain 9006194 unique relations
  222. Tue Oct 14 19:43:28 2025 read 9006194 relations
  223. Tue Oct 14 19:43:57 2025 multiplying 9006194 relations
  224. Tue Oct 14 19:48:08 2025 multiply complete, coefficients have about 218.30 million bits
  225. Tue Oct 14 19:48:09 2025 initial square root is modulo 68281237
  226. Tue Oct 14 19:52:54 2025 GCD is N, no factor found
  227. Tue Oct 14 19:52:54 2025 reading relations for dependency 3
  228. Tue Oct 14 19:52:54 2025 read 2796937 cycles
  229. Tue Oct 14 19:52:58 2025 cycles contain 9002314 unique relations
  230. Tue Oct 14 19:53:32 2025 read 9002314 relations
  231. Tue Oct 14 19:54:01 2025 multiplying 9002314 relations
  232. Tue Oct 14 19:58:10 2025 multiply complete, coefficients have about 218.21 million bits
  233. Tue Oct 14 19:58:11 2025 initial square root is modulo 67742387
  234. Tue Oct 14 20:02:55 2025 GCD is 1, no factor found
  235. Tue Oct 14 20:02:55 2025 reading relations for dependency 4
  236. Tue Oct 14 20:02:55 2025 read 2797255 cycles
  237. Tue Oct 14 20:02:59 2025 cycles contain 9002262 unique relations
  238. Tue Oct 14 20:03:33 2025 read 9002262 relations
  239. Tue Oct 14 20:04:00 2025 multiplying 9002262 relations
  240. Tue Oct 14 20:08:09 2025 multiply complete, coefficients have about 218.21 million bits
  241. Tue Oct 14 20:08:10 2025 initial square root is modulo 67776001
  242. Tue Oct 14 20:12:54 2025 sqrtTime: 2419
  243. Tue Oct 14 20:12:54 2025 p85 factor: 9223065762609992646544456466747461552163323086811454970636581436146951060466715210213
  244. Tue Oct 14 20:12:54 2025 p92 factor: 32797122762415818439258995721803304397909053546122533779833256121903761480548124359296337091
  245. Tue Oct 14 20:12:54 2025 elapsed time 00:40:20
  246.  
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