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  1. Thu Jun 26 20:54:43 2025
  2. Thu Jun 26 20:54:43 2025
  3. Thu Jun 26 20:54:43 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 26 20:54:43 2025 random seeds: ee04b171 d4bef850
  5. Thu Jun 26 20:54:43 2025 factoring 136024531912771870535677900133583491929910529094902713312198188857318463832099510702687605526748146251867069517640752106813434870363730952738299105348639147412949094375965080802188873427385760209226292701 (204 digits)
  6. Thu Jun 26 20:54:44 2025 searching for 15-digit factors
  7. Thu Jun 26 20:54:45 2025 commencing number field sieve (204-digit input)
  8. Thu Jun 26 20:54:45 2025 R0: 12905554322510799679403673335960335010
  9. Thu Jun 26 20:54:45 2025 R1: -3592430141632652497
  10. Thu Jun 26 20:54:45 2025 A0: -1
  11. Thu Jun 26 20:54:45 2025 A1: 3
  12. Thu Jun 26 20:54:45 2025 A2: 6
  13. Thu Jun 26 20:54:45 2025 A3: -4
  14. Thu Jun 26 20:54:45 2025 A4: -5
  15. Thu Jun 26 20:54:45 2025 A5: 1
  16. Thu Jun 26 20:54:45 2025 A6: 1
  17. Thu Jun 26 20:54:45 2025 skew 1.37, size 5.619e-11, alpha 3.126, combined = 2.192e-12 rroots = 6
  18. Thu Jun 26 20:54:45 2025
  19. Thu Jun 26 20:54:45 2025 commencing relation filtering
  20. Thu Jun 26 20:54:45 2025 setting target matrix density to 112.0
  21. Thu Jun 26 20:54:45 2025 estimated available RAM is 15938.6 MB
  22. Thu Jun 26 20:54:45 2025 commencing duplicate removal, pass 1
  23. Thu Jun 26 21:00:31 2025 error -1 reading relation 46076276
  24. Thu Jun 26 21:11:20 2025 skipped 5 relations with b > 2^32
  25. Thu Jun 26 21:11:20 2025 skipped 1 relations with composite factors
  26. Thu Jun 26 21:11:20 2025 found 5058872 hash collisions in 107720659 relations
  27. Thu Jun 26 21:11:20 2025 commencing duplicate removal, pass 2
  28. Thu Jun 26 21:12:08 2025 found 0 duplicates and 107720659 unique relations
  29. Thu Jun 26 21:12:08 2025 memory use: 378.4 MB
  30. Thu Jun 26 21:12:08 2025 reading ideals above 56033280
  31. Thu Jun 26 21:12:08 2025 commencing singleton removal, initial pass
  32. Thu Jun 26 21:28:01 2025 memory use: 2756.0 MB
  33. Thu Jun 26 21:28:01 2025 reading all ideals from disk
  34. Thu Jun 26 21:28:05 2025 memory use: 1995.1 MB
  35. Thu Jun 26 21:28:18 2025 commencing in-memory singleton removal
  36. Thu Jun 26 21:28:29 2025 begin with 107720659 relations and 86131323 unique ideals
  37. Thu Jun 26 21:29:34 2025 reduce to 76065349 relations and 51644744 ideals in 11 passes
  38. Thu Jun 26 21:29:34 2025 max relations containing the same ideal: 35
  39. Thu Jun 26 21:29:43 2025 reading ideals above 720000
  40. Thu Jun 26 21:29:44 2025 commencing singleton removal, initial pass
  41. Thu Jun 26 21:40:06 2025 memory use: 1506.0 MB
  42. Thu Jun 26 21:40:07 2025 reading all ideals from disk
  43. Thu Jun 26 21:40:12 2025 memory use: 2828.1 MB
  44. Thu Jun 26 21:40:23 2025 keeping 57951159 ideals with weight <= 200, target excess is 373356
  45. Thu Jun 26 21:40:36 2025 commencing in-memory singleton removal
  46. Thu Jun 26 21:40:46 2025 begin with 76065350 relations and 57951159 unique ideals
  47. Thu Jun 26 21:41:08 2025 reduce to 76065349 relations and 57951157 ideals in 2 passes
  48. Thu Jun 26 21:41:08 2025 max relations containing the same ideal: 200
  49. Thu Jun 26 21:41:58 2025 removing 8044426 relations and 6044426 ideals in 2000000 cliques
  50. Thu Jun 26 21:42:02 2025 commencing in-memory singleton removal
  51. Thu Jun 26 21:42:11 2025 begin with 68020923 relations and 57951157 unique ideals
  52. Thu Jun 26 21:43:03 2025 reduce to 67274900 relations and 51136093 ideals in 8 passes
  53. Thu Jun 26 21:43:03 2025 max relations containing the same ideal: 194
  54. Thu Jun 26 21:43:40 2025 removing 6553791 relations and 4553791 ideals in 2000000 cliques
  55. Thu Jun 26 21:43:43 2025 commencing in-memory singleton removal
  56. Thu Jun 26 21:43:50 2025 begin with 60721109 relations and 51136093 unique ideals
  57. Thu Jun 26 21:44:32 2025 reduce to 60198256 relations and 46043566 ideals in 7 passes
  58. Thu Jun 26 21:44:32 2025 max relations containing the same ideal: 181
  59. Thu Jun 26 21:45:14 2025 removing 6113632 relations and 4113632 ideals in 2000000 cliques
  60. Thu Jun 26 21:45:18 2025 commencing in-memory singleton removal
  61. Thu Jun 26 21:45:25 2025 begin with 54084624 relations and 46043566 unique ideals
  62. Thu Jun 26 21:46:10 2025 reduce to 53608308 relations and 41438563 ideals in 6 passes
  63. Thu Jun 26 21:46:10 2025 max relations containing the same ideal: 172
  64. Thu Jun 26 21:46:47 2025 removing 5897409 relations and 3897409 ideals in 2000000 cliques
  65. Thu Jun 26 21:46:50 2025 commencing in-memory singleton removal
  66. Thu Jun 26 21:46:57 2025 begin with 47710899 relations and 41438563 unique ideals
  67. Thu Jun 26 21:47:49 2025 reduce to 47235328 relations and 37049280 ideals in 8 passes
  68. Thu Jun 26 21:47:49 2025 max relations containing the same ideal: 160
  69. Thu Jun 26 21:48:22 2025 removing 5780950 relations and 3780950 ideals in 2000000 cliques
  70. Thu Jun 26 21:48:25 2025 commencing in-memory singleton removal
  71. Thu Jun 26 21:48:30 2025 begin with 41454378 relations and 37049280 unique ideals
  72. Thu Jun 26 21:49:09 2025 reduce to 40954844 relations and 32749680 ideals in 7 passes
  73. Thu Jun 26 21:49:09 2025 max relations containing the same ideal: 147
  74. Thu Jun 26 21:49:38 2025 removing 5717852 relations and 3717852 ideals in 2000000 cliques
  75. Thu Jun 26 21:49:40 2025 commencing in-memory singleton removal
  76. Thu Jun 26 21:49:45 2025 begin with 35236992 relations and 32749680 unique ideals
  77. Thu Jun 26 21:50:17 2025 reduce to 34688644 relations and 28459516 ideals in 7 passes
  78. Thu Jun 26 21:50:17 2025 max relations containing the same ideal: 131
  79. Thu Jun 26 21:50:42 2025 removing 5699620 relations and 3699620 ideals in 2000000 cliques
  80. Thu Jun 26 21:50:45 2025 commencing in-memory singleton removal
  81. Thu Jun 26 21:50:49 2025 begin with 28989024 relations and 28459516 unique ideals
  82. Thu Jun 26 21:51:19 2025 reduce to 28359929 relations and 24099127 ideals in 8 passes
  83. Thu Jun 26 21:51:19 2025 max relations containing the same ideal: 112
  84. Thu Jun 26 21:51:39 2025 removing 5701056 relations and 3701056 ideals in 2000000 cliques
  85. Thu Jun 26 21:51:42 2025 commencing in-memory singleton removal
  86. Thu Jun 26 21:51:45 2025 begin with 22658873 relations and 24099127 unique ideals
  87. Thu Jun 26 21:52:08 2025 reduce to 21904256 relations and 19596068 ideals in 8 passes
  88. Thu Jun 26 21:52:08 2025 max relations containing the same ideal: 96
  89. Thu Jun 26 21:52:24 2025 removing 5411200 relations and 3536105 ideals in 1875095 cliques
  90. Thu Jun 26 21:52:26 2025 commencing in-memory singleton removal
  91. Thu Jun 26 21:52:28 2025 begin with 16493056 relations and 19596068 unique ideals
  92. Thu Jun 26 21:52:46 2025 reduce to 15613481 relations and 15112176 ideals in 9 passes
  93. Thu Jun 26 21:52:46 2025 max relations containing the same ideal: 73
  94. Thu Jun 26 21:52:58 2025 removing 391062 relations and 322850 ideals in 68212 cliques
  95. Thu Jun 26 21:52:59 2025 commencing in-memory singleton removal
  96. Thu Jun 26 21:53:01 2025 begin with 15222419 relations and 15112176 unique ideals
  97. Thu Jun 26 21:53:14 2025 reduce to 15213050 relations and 14779914 ideals in 7 passes
  98. Thu Jun 26 21:53:14 2025 max relations containing the same ideal: 72
  99. Thu Jun 26 21:53:18 2025 relations with 0 large ideals: 26947
  100. Thu Jun 26 21:53:18 2025 relations with 1 large ideals: 8776
  101. Thu Jun 26 21:53:18 2025 relations with 2 large ideals: 63161
  102. Thu Jun 26 21:53:18 2025 relations with 3 large ideals: 416622
  103. Thu Jun 26 21:53:18 2025 relations with 4 large ideals: 1485420
  104. Thu Jun 26 21:53:18 2025 relations with 5 large ideals: 3115564
  105. Thu Jun 26 21:53:18 2025 relations with 6 large ideals: 4037046
  106. Thu Jun 26 21:53:18 2025 relations with 7+ large ideals: 6059514
  107. Thu Jun 26 21:53:18 2025 commencing 2-way merge
  108. Thu Jun 26 21:53:32 2025 reduce to 10102624 relation sets and 9669488 unique ideals
  109. Thu Jun 26 21:53:32 2025 commencing full merge
  110. Thu Jun 26 21:59:07 2025 memory use: 1381.8 MB
  111. Thu Jun 26 21:59:08 2025 found 4639518 cycles, need 4637688
  112. Thu Jun 26 21:59:09 2025 weight of 4637688 cycles is about 520088560 (112.14/cycle)
  113. Thu Jun 26 21:59:09 2025 distribution of cycle lengths:
  114. Thu Jun 26 21:59:09 2025 1 relations: 203989
  115. Thu Jun 26 21:59:09 2025 2 relations: 289276
  116. Thu Jun 26 21:59:09 2025 3 relations: 340249
  117. Thu Jun 26 21:59:09 2025 4 relations: 350007
  118. Thu Jun 26 21:59:09 2025 5 relations: 355946
  119. Thu Jun 26 21:59:09 2025 6 relations: 351587
  120. Thu Jun 26 21:59:09 2025 7 relations: 337994
  121. Thu Jun 26 21:59:09 2025 8 relations: 316945
  122. Thu Jun 26 21:59:09 2025 9 relations: 293062
  123. Thu Jun 26 21:59:09 2025 10+ relations: 1798633
  124. Thu Jun 26 21:59:09 2025 heaviest cycle: 28 relations
  125. Thu Jun 26 21:59:11 2025 commencing cycle optimization
  126. Thu Jun 26 21:59:21 2025 start with 41154836 relations
  127. Thu Jun 26 22:01:11 2025 pruned 1991947 relations
  128. Thu Jun 26 22:01:11 2025 memory use: 1055.9 MB
  129. Thu Jun 26 22:01:11 2025 distribution of cycle lengths:
  130. Thu Jun 26 22:01:11 2025 1 relations: 203989
  131. Thu Jun 26 22:01:11 2025 2 relations: 295529
  132. Thu Jun 26 22:01:11 2025 3 relations: 353821
  133. Thu Jun 26 22:01:11 2025 4 relations: 364495
  134. Thu Jun 26 22:01:11 2025 5 relations: 374151
  135. Thu Jun 26 22:01:11 2025 6 relations: 369035
  136. Thu Jun 26 22:01:11 2025 7 relations: 356598
  137. Thu Jun 26 22:01:11 2025 8 relations: 332554
  138. Thu Jun 26 22:01:11 2025 9 relations: 306913
  139. Thu Jun 26 22:01:11 2025 10+ relations: 1680603
  140. Thu Jun 26 22:01:11 2025 heaviest cycle: 28 relations
  141. Thu Jun 26 22:01:22 2025 RelProcTime: 3997
  142. Thu Jun 26 22:01:22 2025 elapsed time 01:06:39
  143. Thu Jun 26 22:42:37 2025
  144. Thu Jun 26 22:42:37 2025
  145. Thu Jun 26 22:42:37 2025 Msieve v. 1.54 (SVN Unversioned directory)
  146. Thu Jun 26 22:42:37 2025 random seeds: 51ebf505 1c83788a
  147. Thu Jun 26 22:42:37 2025 factoring 136024531912771870535677900133583491929910529094902713312198188857318463832099510702687605526748146251867069517640752106813434870363730952738299105348639147412949094375965080802188873427385760209226292701 (204 digits)
  148. Thu Jun 26 22:42:38 2025 searching for 15-digit factors
  149. Thu Jun 26 22:42:39 2025 commencing number field sieve (204-digit input)
  150. Thu Jun 26 22:42:39 2025 R0: 12905554322510799679403673335960335010
  151. Thu Jun 26 22:42:39 2025 R1: -3592430141632652497
  152. Thu Jun 26 22:42:39 2025 A0: -1
  153. Thu Jun 26 22:42:39 2025 A1: 3
  154. Thu Jun 26 22:42:39 2025 A2: 6
  155. Thu Jun 26 22:42:39 2025 A3: -4
  156. Thu Jun 26 22:42:39 2025 A4: -5
  157. Thu Jun 26 22:42:39 2025 A5: 1
  158. Thu Jun 26 22:42:39 2025 A6: 1
  159. Thu Jun 26 22:42:39 2025 skew 1.37, size 5.619e-11, alpha 3.126, combined = 2.192e-12 rroots = 6
  160. Thu Jun 26 22:42:39 2025
  161. Thu Jun 26 22:42:39 2025 commencing linear algebra
  162. Thu Jun 26 22:42:39 2025 using VBITS=512
  163. Thu Jun 26 22:42:40 2025 read 4637688 cycles
  164. Thu Jun 26 22:42:51 2025 cycles contain 14982613 unique relations
  165. Thu Jun 26 22:44:14 2025 read 14982613 relations
  166. Thu Jun 26 22:44:42 2025 using 20 quadratic characters above 4294917295
  167. Thu Jun 26 22:45:57 2025 building initial matrix
  168. Thu Jun 26 22:51:49 2025 memory use: 1799.2 MB
  169. Thu Jun 26 22:51:53 2025 read 4637688 cycles
  170. Thu Jun 26 22:51:54 2025 matrix is 4637511 x 4637688 (2025.9 MB) with weight 574382812 (123.85/col)
  171. Thu Jun 26 22:51:54 2025 sparse part has weight 484710693 (104.52/col)
  172. Thu Jun 26 22:53:43 2025 filtering completed in 2 passes
  173. Thu Jun 26 22:53:45 2025 matrix is 4637462 x 4637605 (2025.9 MB) with weight 574380688 (123.85/col)
  174. Thu Jun 26 22:53:45 2025 sparse part has weight 484709989 (104.52/col)
  175. Thu Jun 26 22:54:16 2025 matrix starts at (0, 0)
  176. Thu Jun 26 22:54:17 2025 matrix is 4637462 x 4637605 (2025.9 MB) with weight 574380688 (123.85/col)
  177. Thu Jun 26 22:54:17 2025 sparse part has weight 484709989 (104.52/col)
  178. Thu Jun 26 22:54:17 2025 saving the first 496 matrix rows for later
  179. Thu Jun 26 22:54:20 2025 matrix includes 512 packed rows
  180. Thu Jun 26 22:54:28 2025 matrix is 4636966 x 4637605 (1917.8 MB) with weight 414752074 (89.43/col)
  181. Thu Jun 26 22:54:28 2025 sparse part has weight 391437297 (84.41/col)
  182. Fri Jun 27 07:32:53 2025
  183. Fri Jun 27 07:32:53 2025
  184. Fri Jun 27 07:32:53 2025 Msieve v. 1.54 (SVN unknown)
  185. Fri Jun 27 07:32:53 2025 random seeds: a33f74de a663561a
  186. Fri Jun 27 07:32:53 2025 factoring 136024531912771870535677900133583491929910529094902713312198188857318463832099510702687605526748146251867069517640752106813434870363730952738299105348639147412949094375965080802188873427385760209226292701 (204 digits)
  187. Fri Jun 27 07:32:54 2025 no P-1/P+1/ECM available, skipping
  188. Fri Jun 27 07:32:54 2025 commencing number field sieve (204-digit input)
  189. Fri Jun 27 07:32:54 2025 R0: 12905554322510799679403673335960335010
  190. Fri Jun 27 07:32:54 2025 R1: -3592430141632652497
  191. Fri Jun 27 07:32:54 2025 A0: -1
  192. Fri Jun 27 07:32:54 2025 A1: 3
  193. Fri Jun 27 07:32:54 2025 A2: 6
  194. Fri Jun 27 07:32:54 2025 A3: -4
  195. Fri Jun 27 07:32:54 2025 A4: -5
  196. Fri Jun 27 07:32:54 2025 A5: 1
  197. Fri Jun 27 07:32:54 2025 A6: 1
  198. Fri Jun 27 07:32:54 2025 skew 1.37, size 5.619e-11, alpha 3.126, combined = 2.192e-12 rroots = 6
  199. Fri Jun 27 07:32:54 2025
  200. Fri Jun 27 07:32:54 2025 commencing linear algebra
  201. Fri Jun 27 07:32:54 2025 using VBITS=512
  202. Fri Jun 27 07:32:54 2025 skipping matrix build
  203. Fri Jun 27 07:32:55 2025 matrix starts at (0, 0)
  204. Fri Jun 27 07:32:55 2025 matrix is 4637462 x 4637605 (2025.9 MB) with weight 574380688 (123.85/col)
  205. Fri Jun 27 07:32:55 2025 sparse part has weight 484709989 (104.52/col)
  206. Fri Jun 27 07:32:55 2025 saving the first 496 matrix rows for later
  207. Fri Jun 27 07:32:57 2025 matrix includes 512 packed rows
  208. Fri Jun 27 07:33:00 2025 matrix is 4636966 x 4637605 (1917.8 MB) with weight 414752074 (89.43/col)
  209. Fri Jun 27 07:33:00 2025 sparse part has weight 391437297 (84.41/col)
  210. Fri Jun 27 07:33:00 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  211. Fri Jun 27 07:33:00 2025 selected card has CUDA arch 8.6
  212. Fri Jun 27 07:33:27 2025 commencing Lanczos iteration
  213. Fri Jun 27 07:33:27 2025 memory use: 5286.3 MB
  214. Fri Jun 27 07:33:43 2025 linear algebra at 0.3%, ETA 1h15m
  215. Fri Jun 27 07:33:44 2025 checkpointing every 3570000 dimensions
  216. Fri Jun 27 09:03:26 2025 lanczos halted after 9072 iterations (dim = 4636966)
  217. Fri Jun 27 09:04:34 2025 recovered 35 nontrivial dependencies
  218. Fri Jun 27 09:04:34 2025 BLanczosTime: 5500
  219. Fri Jun 27 09:04:34 2025
  220. Fri Jun 27 09:04:34 2025 commencing square root phase
  221. Fri Jun 27 09:04:34 2025 handling dependencies 1 to 64
  222. Fri Jun 27 09:04:34 2025 reading relations for dependency 1
  223. Fri Jun 27 09:04:35 2025 read 2320407 cycles
  224. Fri Jun 27 09:04:41 2025 cycles contain 7491406 unique relations
  225. Fri Jun 27 09:05:42 2025 read 7491406 relations
  226. Fri Jun 27 09:06:18 2025 multiplying 7491406 relations
  227. Fri Jun 27 09:10:46 2025 multiply complete, coefficients have about 180.97 million bits
  228. Fri Jun 27 09:10:48 2025 initial square root is modulo 3122671
  229. Fri Jun 27 09:16:19 2025 GCD is N, no factor found
  230. Fri Jun 27 09:16:19 2025 reading relations for dependency 2
  231. Fri Jun 27 09:16:20 2025 read 2319614 cycles
  232. Fri Jun 27 09:16:26 2025 cycles contain 7492132 unique relations
  233. Fri Jun 27 09:17:28 2025 read 7492132 relations
  234. Fri Jun 27 09:18:15 2025 multiplying 7492132 relations
  235. Fri Jun 27 09:23:00 2025 multiply complete, coefficients have about 181.00 million bits
  236. Fri Jun 27 09:23:01 2025 initial square root is modulo 3129821
  237. Fri Jun 27 09:28:35 2025 GCD is 1, no factor found
  238. Fri Jun 27 09:28:35 2025 reading relations for dependency 3
  239. Fri Jun 27 09:28:36 2025 read 2319920 cycles
  240. Fri Jun 27 09:28:41 2025 cycles contain 7494418 unique relations
  241. Fri Jun 27 09:29:44 2025 read 7494418 relations
  242. Fri Jun 27 09:30:30 2025 multiplying 7494418 relations
  243. Fri Jun 27 09:35:18 2025 multiply complete, coefficients have about 181.04 million bits
  244. Fri Jun 27 09:35:20 2025 initial square root is modulo 3142219
  245. Fri Jun 27 09:40:50 2025 GCD is 1, no factor found
  246. Fri Jun 27 09:40:50 2025 reading relations for dependency 4
  247. Fri Jun 27 09:40:51 2025 read 2318951 cycles
  248. Fri Jun 27 09:40:56 2025 cycles contain 7494506 unique relations
  249. Fri Jun 27 09:41:57 2025 read 7494506 relations
  250. Fri Jun 27 09:42:41 2025 multiplying 7494506 relations
  251. Fri Jun 27 09:46:54 2025 multiply complete, coefficients have about 181.05 million bits
  252. Fri Jun 27 09:46:55 2025 initial square root is modulo 3143467
  253. Fri Jun 27 09:51:58 2025 sqrtTime: 2844
  254. Fri Jun 27 09:51:58 2025 p82 factor: 1907973465139425791826093252023244558560260304134055002023077435916608300410616267
  255. Fri Jun 27 09:51:58 2025 p122 factor: 71292674871047974920543151055656181223809407046566416159544890951166453865116951065141851585366045791066960773546584371703
  256. Fri Jun 27 09:51:58 2025 elapsed time 02:19:05
  257.  
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