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  1. Thu Aug 28 17:42:35 2025
  2. Thu Aug 28 17:42:35 2025
  3. Thu Aug 28 17:42:35 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Aug 28 17:42:35 2025 random seeds: 00cf61f4 c4bdcd55
  5. Thu Aug 28 17:42:35 2025 factoring 781364104343481427408229768486435109621583252674110619384213245402669029770120580245627193511883053059224521772522182033220863925507193154126429379859984960724505842794220930252832493823217895812241 (198 digits)
  6. Thu Aug 28 17:42:36 2025 searching for 15-digit factors
  7. Thu Aug 28 17:42:37 2025 commencing number field sieve (198-digit input)
  8. Thu Aug 28 17:42:37 2025 R0: 21119610335888501533972449164926749650
  9. Thu Aug 28 17:42:37 2025 R1: -4595607722150412343
  10. Thu Aug 28 17:42:37 2025 A0: -1
  11. Thu Aug 28 17:42:37 2025 A1: 3
  12. Thu Aug 28 17:42:37 2025 A2: 6
  13. Thu Aug 28 17:42:37 2025 A3: -4
  14. Thu Aug 28 17:42:37 2025 A4: -5
  15. Thu Aug 28 17:42:37 2025 A5: 1
  16. Thu Aug 28 17:42:37 2025 A6: 1
  17. Thu Aug 28 17:42:37 2025 skew 1.37, size 4.882e-11, alpha 3.126, combined = 1.982e-12 rroots = 6
  18. Thu Aug 28 17:42:37 2025
  19. Thu Aug 28 17:42:37 2025 commencing relation filtering
  20. Thu Aug 28 17:42:37 2025 setting target matrix density to 112.0
  21. Thu Aug 28 17:42:37 2025 estimated available RAM is 15938.6 MB
  22. Thu Aug 28 17:42:37 2025 commencing duplicate removal, pass 1
  23. Thu Aug 28 17:59:40 2025 skipped 3 relations with b > 2^32
  24. Thu Aug 28 17:59:40 2025 found 4969005 hash collisions in 106734768 relations
  25. Thu Aug 28 17:59:54 2025 added 2438358 free relations
  26. Thu Aug 28 17:59:54 2025 commencing duplicate removal, pass 2
  27. Thu Aug 28 18:00:50 2025 found 0 duplicates and 109173126 unique relations
  28. Thu Aug 28 18:00:50 2025 memory use: 261.2 MB
  29. Thu Aug 28 18:00:50 2025 reading ideals above 64028672
  30. Thu Aug 28 18:00:50 2025 commencing singleton removal, initial pass
  31. Thu Aug 28 18:15:10 2025 memory use: 2756.0 MB
  32. Thu Aug 28 18:15:10 2025 reading all ideals from disk
  33. Thu Aug 28 18:15:15 2025 memory use: 1905.2 MB
  34. Thu Aug 28 18:15:24 2025 commencing in-memory singleton removal
  35. Thu Aug 28 18:15:32 2025 begin with 109173126 relations and 84400314 unique ideals
  36. Thu Aug 28 18:16:50 2025 reduce to 77430921 relations and 49871876 ideals in 11 passes
  37. Thu Aug 28 18:16:50 2025 max relations containing the same ideal: 61
  38. Thu Aug 28 18:17:00 2025 reading ideals above 720000
  39. Thu Aug 28 18:17:01 2025 commencing singleton removal, initial pass
  40. Thu Aug 28 18:31:31 2025 memory use: 1506.0 MB
  41. Thu Aug 28 18:31:31 2025 reading all ideals from disk
  42. Thu Aug 28 18:31:37 2025 memory use: 2869.5 MB
  43. Thu Aug 28 18:31:51 2025 keeping 57051716 ideals with weight <= 200, target excess is 393437
  44. Thu Aug 28 18:32:08 2025 commencing in-memory singleton removal
  45. Thu Aug 28 18:32:20 2025 begin with 77430922 relations and 57051716 unique ideals
  46. Thu Aug 28 18:32:57 2025 reduce to 77430905 relations and 57051699 ideals in 3 passes
  47. Thu Aug 28 18:32:57 2025 max relations containing the same ideal: 200
  48. Thu Aug 28 18:33:58 2025 removing 7759401 relations and 5759401 ideals in 2000000 cliques
  49. Thu Aug 28 18:34:03 2025 commencing in-memory singleton removal
  50. Thu Aug 28 18:34:14 2025 begin with 69671504 relations and 57051699 unique ideals
  51. Thu Aug 28 18:35:31 2025 reduce to 69018193 relations and 50618304 ideals in 7 passes
  52. Thu Aug 28 18:35:31 2025 max relations containing the same ideal: 194
  53. Thu Aug 28 18:36:25 2025 removing 6335008 relations and 4335008 ideals in 2000000 cliques
  54. Thu Aug 28 18:36:29 2025 commencing in-memory singleton removal
  55. Thu Aug 28 18:36:39 2025 begin with 62683185 relations and 50618304 unique ideals
  56. Thu Aug 28 18:37:50 2025 reduce to 62231797 relations and 45818792 ideals in 7 passes
  57. Thu Aug 28 18:37:50 2025 max relations containing the same ideal: 184
  58. Thu Aug 28 18:38:39 2025 removing 5894055 relations and 3894055 ideals in 2000000 cliques
  59. Thu Aug 28 18:38:43 2025 commencing in-memory singleton removal
  60. Thu Aug 28 18:38:52 2025 begin with 56337742 relations and 45818792 unique ideals
  61. Thu Aug 28 18:39:56 2025 reduce to 55935962 relations and 41510872 ideals in 7 passes
  62. Thu Aug 28 18:39:56 2025 max relations containing the same ideal: 175
  63. Thu Aug 28 18:40:42 2025 removing 5669360 relations and 3669360 ideals in 2000000 cliques
  64. Thu Aug 28 18:40:46 2025 commencing in-memory singleton removal
  65. Thu Aug 28 18:40:53 2025 begin with 50266602 relations and 41510872 unique ideals
  66. Thu Aug 28 18:41:50 2025 reduce to 49878399 relations and 37440681 ideals in 7 passes
  67. Thu Aug 28 18:41:50 2025 max relations containing the same ideal: 160
  68. Thu Aug 28 18:42:30 2025 removing 5535177 relations and 3535177 ideals in 2000000 cliques
  69. Thu Aug 28 18:42:34 2025 commencing in-memory singleton removal
  70. Thu Aug 28 18:42:40 2025 begin with 44343222 relations and 37440681 unique ideals
  71. Thu Aug 28 18:43:29 2025 reduce to 43951574 relations and 33499888 ideals in 7 passes
  72. Thu Aug 28 18:43:29 2025 max relations containing the same ideal: 147
  73. Thu Aug 28 18:44:06 2025 removing 5447306 relations and 3447306 ideals in 2000000 cliques
  74. Thu Aug 28 18:44:09 2025 commencing in-memory singleton removal
  75. Thu Aug 28 18:44:14 2025 begin with 38504268 relations and 33499888 unique ideals
  76. Thu Aug 28 18:44:50 2025 reduce to 38092381 relations and 29624601 ideals in 6 passes
  77. Thu Aug 28 18:44:50 2025 max relations containing the same ideal: 134
  78. Thu Aug 28 18:45:19 2025 removing 5389726 relations and 3389726 ideals in 2000000 cliques
  79. Thu Aug 28 18:45:22 2025 commencing in-memory singleton removal
  80. Thu Aug 28 18:45:27 2025 begin with 32702655 relations and 29624601 unique ideals
  81. Thu Aug 28 18:46:01 2025 reduce to 32254971 relations and 25767158 ideals in 7 passes
  82. Thu Aug 28 18:46:01 2025 max relations containing the same ideal: 121
  83. Thu Aug 28 18:46:26 2025 removing 5349173 relations and 3349173 ideals in 2000000 cliques
  84. Thu Aug 28 18:46:28 2025 commencing in-memory singleton removal
  85. Thu Aug 28 18:46:33 2025 begin with 26905798 relations and 25767158 unique ideals
  86. Thu Aug 28 18:47:01 2025 reduce to 26406209 relations and 21892287 ideals in 7 passes
  87. Thu Aug 28 18:47:01 2025 max relations containing the same ideal: 103
  88. Thu Aug 28 18:47:21 2025 removing 5317441 relations and 3317441 ideals in 2000000 cliques
  89. Thu Aug 28 18:47:23 2025 commencing in-memory singleton removal
  90. Thu Aug 28 18:47:26 2025 begin with 21088768 relations and 21892287 unique ideals
  91. Thu Aug 28 18:47:51 2025 reduce to 20508470 relations and 17957348 ideals in 8 passes
  92. Thu Aug 28 18:47:51 2025 max relations containing the same ideal: 90
  93. Thu Aug 28 18:48:08 2025 removing 5273022 relations and 3273022 ideals in 2000000 cliques
  94. Thu Aug 28 18:48:10 2025 commencing in-memory singleton removal
  95. Thu Aug 28 18:48:13 2025 begin with 15235448 relations and 17957348 unique ideals
  96. Thu Aug 28 18:48:30 2025 reduce to 14508707 relations and 13897157 ideals in 8 passes
  97. Thu Aug 28 18:48:30 2025 max relations containing the same ideal: 71
  98. Thu Aug 28 18:48:41 2025 removing 659939 relations and 504776 ideals in 155163 cliques
  99. Thu Aug 28 18:48:42 2025 commencing in-memory singleton removal
  100. Thu Aug 28 18:48:44 2025 begin with 13848768 relations and 13897157 unique ideals
  101. Thu Aug 28 18:48:55 2025 reduce to 13817019 relations and 13360230 ideals in 6 passes
  102. Thu Aug 28 18:48:55 2025 max relations containing the same ideal: 69
  103. Thu Aug 28 18:49:08 2025 relations with 0 large ideals: 29443
  104. Thu Aug 28 18:49:08 2025 relations with 1 large ideals: 8339
  105. Thu Aug 28 18:49:08 2025 relations with 2 large ideals: 78262
  106. Thu Aug 28 18:49:08 2025 relations with 3 large ideals: 481036
  107. Thu Aug 28 18:49:08 2025 relations with 4 large ideals: 1578532
  108. Thu Aug 28 18:49:08 2025 relations with 5 large ideals: 3045833
  109. Thu Aug 28 18:49:08 2025 relations with 6 large ideals: 3638372
  110. Thu Aug 28 18:49:08 2025 relations with 7+ large ideals: 4957202
  111. Thu Aug 28 18:49:08 2025 commencing 2-way merge
  112. Thu Aug 28 18:49:22 2025 reduce to 9563473 relation sets and 9106684 unique ideals
  113. Thu Aug 28 18:49:22 2025 commencing full merge
  114. Thu Aug 28 18:55:05 2025 memory use: 1265.6 MB
  115. Thu Aug 28 18:55:07 2025 found 4396154 cycles, need 4372884
  116. Thu Aug 28 18:55:09 2025 weight of 4372884 cycles is about 490399324 (112.15/cycle)
  117. Thu Aug 28 18:55:09 2025 distribution of cycle lengths:
  118. Thu Aug 28 18:55:09 2025 1 relations: 153591
  119. Thu Aug 28 18:55:09 2025 2 relations: 242705
  120. Thu Aug 28 18:55:09 2025 3 relations: 308619
  121. Thu Aug 28 18:55:09 2025 4 relations: 333435
  122. Thu Aug 28 18:55:09 2025 5 relations: 349826
  123. Thu Aug 28 18:55:09 2025 6 relations: 349120
  124. Thu Aug 28 18:55:09 2025 7 relations: 339494
  125. Thu Aug 28 18:55:09 2025 8 relations: 318784
  126. Thu Aug 28 18:55:09 2025 9 relations: 293492
  127. Thu Aug 28 18:55:09 2025 10+ relations: 1683818
  128. Thu Aug 28 18:55:09 2025 heaviest cycle: 28 relations
  129. Thu Aug 28 18:55:11 2025 commencing cycle optimization
  130. Thu Aug 28 18:55:25 2025 start with 38452396 relations
  131. Thu Aug 28 18:57:33 2025 pruned 1998198 relations
  132. Thu Aug 28 18:57:33 2025 memory use: 972.4 MB
  133. Thu Aug 28 18:57:33 2025 distribution of cycle lengths:
  134. Thu Aug 28 18:57:33 2025 1 relations: 153591
  135. Thu Aug 28 18:57:33 2025 2 relations: 248805
  136. Thu Aug 28 18:57:33 2025 3 relations: 322060
  137. Thu Aug 28 18:57:33 2025 4 relations: 349451
  138. Thu Aug 28 18:57:33 2025 5 relations: 370228
  139. Thu Aug 28 18:57:33 2025 6 relations: 369033
  140. Thu Aug 28 18:57:33 2025 7 relations: 360683
  141. Thu Aug 28 18:57:33 2025 8 relations: 336294
  142. Thu Aug 28 18:57:33 2025 9 relations: 308525
  143. Thu Aug 28 18:57:33 2025 10+ relations: 1554214
  144. Thu Aug 28 18:57:33 2025 heaviest cycle: 28 relations
  145. Thu Aug 28 18:57:42 2025 RelProcTime: 4505
  146. Thu Aug 28 18:57:44 2025
  147. Thu Aug 28 18:57:44 2025 commencing linear algebra
  148. Thu Aug 28 18:57:44 2025 using VBITS=512
  149. Thu Aug 28 18:57:45 2025 read 4372884 cycles
  150. Thu Aug 28 18:57:59 2025 cycles contain 13603616 unique relations
  151. Thu Aug 28 18:59:44 2025 read 13603616 relations
  152. Thu Aug 28 19:00:16 2025 using 20 quadratic characters above 4294917295
  153. Thu Aug 28 19:01:33 2025 building initial matrix
  154. Thu Aug 28 19:06:42 2025 memory use: 1658.8 MB
  155. Thu Aug 28 19:06:45 2025 read 4372884 cycles
  156. Thu Aug 28 19:06:46 2025 matrix is 4372707 x 4372884 (1903.5 MB) with weight 540023321 (123.49/col)
  157. Thu Aug 28 19:06:46 2025 sparse part has weight 455267506 (104.11/col)
  158. Thu Aug 28 19:08:10 2025 filtering completed in 2 passes
  159. Thu Aug 28 19:08:11 2025 matrix is 4372578 x 4372720 (1903.5 MB) with weight 540018713 (123.50/col)
  160. Thu Aug 28 19:08:11 2025 sparse part has weight 455265811 (104.12/col)
  161. Thu Aug 28 19:08:35 2025 matrix starts at (0, 0)
  162. Thu Aug 28 19:08:36 2025 matrix is 4372578 x 4372720 (1903.5 MB) with weight 540018713 (123.50/col)
  163. Thu Aug 28 19:08:36 2025 sparse part has weight 455265811 (104.12/col)
  164. Thu Aug 28 19:08:36 2025 saving the first 496 matrix rows for later
  165. Thu Aug 28 19:08:38 2025 matrix includes 512 packed rows
  166. Thu Aug 28 19:08:44 2025 matrix is 4372082 x 4372720 (1798.0 MB) with weight 388390666 (88.82/col)
  167. Thu Aug 28 19:08:44 2025 sparse part has weight 366378404 (83.79/col)
  168. Thu Aug 28 21:06:08 2025
  169. Thu Aug 28 21:06:08 2025
  170. Thu Aug 28 21:06:08 2025 Msieve v. 1.54 (SVN unknown)
  171. Thu Aug 28 21:06:08 2025 random seeds: 0954ec76 c03f90e7
  172. Thu Aug 28 21:06:08 2025 factoring 781364104343481427408229768486435109621583252674110619384213245402669029770120580245627193511883053059224521772522182033220863925507193154126429379859984960724505842794220930252832493823217895812241 (198 digits)
  173. Thu Aug 28 21:06:09 2025 no P-1/P+1/ECM available, skipping
  174. Thu Aug 28 21:06:09 2025 commencing number field sieve (198-digit input)
  175. Thu Aug 28 21:06:09 2025 R0: 21119610335888501533972449164926749650
  176. Thu Aug 28 21:06:09 2025 R1: -4595607722150412343
  177. Thu Aug 28 21:06:09 2025 A0: -1
  178. Thu Aug 28 21:06:09 2025 A1: 3
  179. Thu Aug 28 21:06:09 2025 A2: 6
  180. Thu Aug 28 21:06:09 2025 A3: -4
  181. Thu Aug 28 21:06:09 2025 A4: -5
  182. Thu Aug 28 21:06:09 2025 A5: 1
  183. Thu Aug 28 21:06:09 2025 A6: 1
  184. Thu Aug 28 21:06:09 2025 skew 1.37, size 4.882e-11, alpha 3.126, combined = 1.982e-12 rroots = 6
  185. Thu Aug 28 21:06:09 2025
  186. Thu Aug 28 21:06:09 2025 commencing linear algebra
  187. Thu Aug 28 21:06:09 2025 using VBITS=512
  188. Thu Aug 28 21:06:09 2025 skipping matrix build
  189. Thu Aug 28 21:06:11 2025 matrix starts at (0, 0)
  190. Thu Aug 28 21:06:11 2025 matrix is 4372578 x 4372720 (1903.5 MB) with weight 540018713 (123.50/col)
  191. Thu Aug 28 21:06:11 2025 sparse part has weight 455265811 (104.12/col)
  192. Thu Aug 28 21:06:11 2025 saving the first 496 matrix rows for later
  193. Thu Aug 28 21:06:14 2025 matrix includes 512 packed rows
  194. Thu Aug 28 21:06:17 2025 matrix is 4372082 x 4372720 (1798.0 MB) with weight 388390666 (88.82/col)
  195. Thu Aug 28 21:06:17 2025 sparse part has weight 366378404 (83.79/col)
  196. Thu Aug 28 21:06:17 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  197. Thu Aug 28 21:06:17 2025 selected card has CUDA arch 8.6
  198. Thu Aug 28 21:06:55 2025 commencing Lanczos iteration
  199. Thu Aug 28 21:06:56 2025 memory use: 4963.8 MB
  200. Thu Aug 28 21:07:12 2025 linear algebra at 0.4%, ETA 1h11m
  201. Thu Aug 28 21:07:12 2025 checkpointing every 3810000 dimensions
  202. Thu Aug 28 22:26:26 2025 lanczos halted after 8553 iterations (dim = 4372074)
  203. Thu Aug 28 22:27:56 2025 recovered 29 nontrivial dependencies
  204. Thu Aug 28 22:27:56 2025 BLanczosTime: 4907
  205. Thu Aug 28 22:27:56 2025 elapsed time 01:21:48
  206. Thu Aug 28 22:53:03 2025
  207. Thu Aug 28 22:53:03 2025
  208. Thu Aug 28 22:53:03 2025 Msieve v. 1.54 (SVN Unversioned directory)
  209. Thu Aug 28 22:53:03 2025 random seeds: 310fccc3 5a5d6900
  210. Thu Aug 28 22:53:03 2025 factoring 781364104343481427408229768486435109621583252674110619384213245402669029770120580245627193511883053059224521772522182033220863925507193154126429379859984960724505842794220930252832493823217895812241 (198 digits)
  211. Thu Aug 28 22:53:05 2025 searching for 15-digit factors
  212. Thu Aug 28 22:53:06 2025 commencing number field sieve (198-digit input)
  213. Thu Aug 28 22:53:06 2025 R0: 21119610335888501533972449164926749650
  214. Thu Aug 28 22:53:06 2025 R1: -4595607722150412343
  215. Thu Aug 28 22:53:06 2025 A0: -1
  216. Thu Aug 28 22:53:06 2025 A1: 3
  217. Thu Aug 28 22:53:06 2025 A2: 6
  218. Thu Aug 28 22:53:06 2025 A3: -4
  219. Thu Aug 28 22:53:06 2025 A4: -5
  220. Thu Aug 28 22:53:06 2025 A5: 1
  221. Thu Aug 28 22:53:06 2025 A6: 1
  222. Thu Aug 28 22:53:06 2025 skew 1.37, size 4.882e-11, alpha 3.126, combined = 1.982e-12 rroots = 6
  223. Thu Aug 28 22:53:06 2025
  224. Thu Aug 28 22:53:06 2025 commencing square root phase
  225. Thu Aug 28 22:53:06 2025 reading relations for dependency 1
  226. Thu Aug 28 22:53:08 2025 read 2185604 cycles
  227. Thu Aug 28 22:53:16 2025 cycles contain 6803124 unique relations
  228. Thu Aug 28 22:54:25 2025 read 6803124 relations
  229. Thu Aug 28 22:55:21 2025 multiplying 6803124 relations
  230. Thu Aug 28 23:03:00 2025 multiply complete, coefficients have about 164.47 million bits
  231. Thu Aug 28 23:03:02 2025 initial square root is modulo 798701
  232. Thu Aug 28 23:11:42 2025 GCD is N, no factor found
  233. Thu Aug 28 23:11:42 2025 reading relations for dependency 2
  234. Thu Aug 28 23:11:43 2025 read 2186836 cycles
  235. Thu Aug 28 23:11:50 2025 cycles contain 6805652 unique relations
  236. Thu Aug 28 23:12:58 2025 read 6805652 relations
  237. Thu Aug 28 23:13:53 2025 multiplying 6805652 relations
  238. Thu Aug 28 23:21:26 2025 multiply complete, coefficients have about 164.53 million bits
  239. Thu Aug 28 23:21:27 2025 initial square root is modulo 802783
  240. Thu Aug 28 23:30:01 2025 GCD is 1, no factor found
  241. Thu Aug 28 23:30:01 2025 reading relations for dependency 3
  242. Thu Aug 28 23:30:02 2025 read 2186130 cycles
  243. Thu Aug 28 23:30:09 2025 cycles contain 6799888 unique relations
  244. Thu Aug 28 23:31:18 2025 read 6799888 relations
  245. Thu Aug 28 23:32:10 2025 multiplying 6799888 relations
  246. Thu Aug 28 23:39:43 2025 multiply complete, coefficients have about 164.38 million bits
  247. Thu Aug 28 23:39:45 2025 initial square root is modulo 793189
  248. Thu Aug 28 23:48:25 2025 GCD is N, no factor found
  249. Thu Aug 28 23:48:25 2025 reading relations for dependency 4
  250. Thu Aug 28 23:48:25 2025 read 2186550 cycles
  251. Thu Aug 28 23:48:32 2025 cycles contain 6804392 unique relations
  252. Thu Aug 28 23:49:40 2025 read 6804392 relations
  253. Thu Aug 28 23:50:38 2025 multiplying 6804392 relations
  254. Thu Aug 28 23:58:32 2025 multiply complete, coefficients have about 164.49 million bits
  255. Thu Aug 28 23:58:34 2025 initial square root is modulo 800053
  256. Fri Aug 29 00:08:38 2025 sqrtTime: 4532
  257. Fri Aug 29 00:08:38 2025 p60 factor: 715503015063143818918089856815764000509387370641270344600799
  258. Fri Aug 29 00:08:38 2025 p139 factor: 1092048653735617459231816273169859402087390590937809096667849711558195864992339892651592714790324748962737738328182471550450350646619554959
  259. Fri Aug 29 00:08:38 2025 elapsed time 01:15:35
  260.  
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