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  1. Sun Aug 31 19:11:02 2025
  2. Sun Aug 31 19:11:02 2025
  3. Sun Aug 31 19:11:02 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Aug 31 19:11:02 2025 random seeds: 83b99f48 0c7a7d3a
  5. Sun Aug 31 19:11:02 2025 factoring 6534506152792521483348877144818526153707353434466508197724531153338985107693117315452696491483913974620691453507267112735314045394467403870220532317732522228886866795668549210662325639874502841001983901239043752600618172113 (223 digits)
  6. Sun Aug 31 19:11:03 2025 searching for 15-digit factors
  7. Sun Aug 31 19:11:04 2025 commencing number field sieve (223-digit input)
  8. Sun Aug 31 19:11:04 2025 R0: 13673156831674575282751232792517476402
  9. Sun Aug 31 19:11:04 2025 R1: -3697723195653586951
  10. Sun Aug 31 19:11:04 2025 A0: -1
  11. Sun Aug 31 19:11:04 2025 A1: 3
  12. Sun Aug 31 19:11:04 2025 A2: 6
  13. Sun Aug 31 19:11:04 2025 A3: -4
  14. Sun Aug 31 19:11:04 2025 A4: -5
  15. Sun Aug 31 19:11:04 2025 A5: 1
  16. Sun Aug 31 19:11:04 2025 A6: 1
  17. Sun Aug 31 19:11:04 2025 skew 1.37, size 5.527e-11, alpha 3.126, combined = 2.167e-12 rroots = 6
  18. Sun Aug 31 19:11:04 2025
  19. Sun Aug 31 19:11:04 2025 commencing relation filtering
  20. Sun Aug 31 19:11:04 2025 setting target matrix density to 120.0
  21. Sun Aug 31 19:11:04 2025 estimated available RAM is 15938.6 MB
  22. Sun Aug 31 19:11:04 2025 commencing duplicate removal, pass 1
  23. Sun Aug 31 19:26:48 2025 error -15 reading relation 96579643
  24. Sun Aug 31 19:28:56 2025 skipped 2 relations with b > 2^32
  25. Sun Aug 31 19:28:56 2025 found 5350778 hash collisions in 110873179 relations
  26. Sun Aug 31 19:29:11 2025 added 2438358 free relations
  27. Sun Aug 31 19:29:11 2025 commencing duplicate removal, pass 2
  28. Sun Aug 31 19:30:07 2025 found 0 duplicates and 113311537 unique relations
  29. Sun Aug 31 19:30:07 2025 memory use: 378.4 MB
  30. Sun Aug 31 19:30:07 2025 reading ideals above 65994752
  31. Sun Aug 31 19:30:07 2025 commencing singleton removal, initial pass
  32. Sun Aug 31 19:44:42 2025 memory use: 2756.0 MB
  33. Sun Aug 31 19:44:42 2025 reading all ideals from disk
  34. Sun Aug 31 19:44:47 2025 memory use: 1963.2 MB
  35. Sun Aug 31 19:44:55 2025 commencing in-memory singleton removal
  36. Sun Aug 31 19:45:04 2025 begin with 113311537 relations and 85151615 unique ideals
  37. Sun Aug 31 19:46:37 2025 reduce to 82656411 relations and 51971393 ideals in 12 passes
  38. Sun Aug 31 19:46:37 2025 max relations containing the same ideal: 50
  39. Sun Aug 31 19:46:47 2025 reading ideals above 720000
  40. Sun Aug 31 19:46:47 2025 commencing singleton removal, initial pass
  41. Sun Aug 31 20:02:15 2025 memory use: 1506.0 MB
  42. Sun Aug 31 20:02:15 2025 reading all ideals from disk
  43. Sun Aug 31 20:02:21 2025 memory use: 3064.3 MB
  44. Sun Aug 31 20:02:37 2025 keeping 59343127 ideals with weight <= 200, target excess is 419412
  45. Sun Aug 31 20:02:55 2025 commencing in-memory singleton removal
  46. Sun Aug 31 20:03:08 2025 begin with 82656411 relations and 59343127 unique ideals
  47. Sun Aug 31 20:03:23 2025 reduce to 82656411 relations and 59343127 ideals in 1 passes
  48. Sun Aug 31 20:03:23 2025 max relations containing the same ideal: 200
  49. Sun Aug 31 20:04:29 2025 removing 7539204 relations and 5539204 ideals in 2000000 cliques
  50. Sun Aug 31 20:04:33 2025 commencing in-memory singleton removal
  51. Sun Aug 31 20:04:45 2025 begin with 75117207 relations and 59343127 unique ideals
  52. Sun Aug 31 20:06:23 2025 reduce to 74542502 relations and 53211928 ideals in 8 passes
  53. Sun Aug 31 20:06:23 2025 max relations containing the same ideal: 194
  54. Sun Aug 31 20:07:22 2025 removing 6163827 relations and 4163827 ideals in 2000000 cliques
  55. Sun Aug 31 20:07:27 2025 commencing in-memory singleton removal
  56. Sun Aug 31 20:07:37 2025 begin with 68378675 relations and 53211928 unique ideals
  57. Sun Aug 31 20:08:55 2025 reduce to 67983067 relations and 48641685 ideals in 7 passes
  58. Sun Aug 31 20:08:55 2025 max relations containing the same ideal: 187
  59. Sun Aug 31 20:09:49 2025 removing 5746648 relations and 3746648 ideals in 2000000 cliques
  60. Sun Aug 31 20:09:53 2025 commencing in-memory singleton removal
  61. Sun Aug 31 20:10:02 2025 begin with 62236419 relations and 48641685 unique ideals
  62. Sun Aug 31 20:11:12 2025 reduce to 61890057 relations and 44538772 ideals in 7 passes
  63. Sun Aug 31 20:11:12 2025 max relations containing the same ideal: 179
  64. Sun Aug 31 20:11:59 2025 removing 5527661 relations and 3527661 ideals in 2000000 cliques
  65. Sun Aug 31 20:12:02 2025 commencing in-memory singleton removal
  66. Sun Aug 31 20:12:11 2025 begin with 56362396 relations and 44538772 unique ideals
  67. Sun Aug 31 20:13:03 2025 reduce to 56032092 relations and 40670932 ideals in 6 passes
  68. Sun Aug 31 20:13:03 2025 max relations containing the same ideal: 169
  69. Sun Aug 31 20:13:46 2025 removing 5394979 relations and 3394979 ideals in 2000000 cliques
  70. Sun Aug 31 20:13:50 2025 commencing in-memory singleton removal
  71. Sun Aug 31 20:13:56 2025 begin with 50637113 relations and 40670932 unique ideals
  72. Sun Aug 31 20:14:45 2025 reduce to 50310557 relations and 36939040 ideals in 6 passes
  73. Sun Aug 31 20:14:45 2025 max relations containing the same ideal: 153
  74. Sun Aug 31 20:15:23 2025 removing 5302828 relations and 3302828 ideals in 2000000 cliques
  75. Sun Aug 31 20:15:26 2025 commencing in-memory singleton removal
  76. Sun Aug 31 20:15:33 2025 begin with 45007729 relations and 36939040 unique ideals
  77. Sun Aug 31 20:16:14 2025 reduce to 44672660 relations and 33289720 ideals in 6 passes
  78. Sun Aug 31 20:16:14 2025 max relations containing the same ideal: 140
  79. Sun Aug 31 20:16:47 2025 removing 5240795 relations and 3240795 ideals in 2000000 cliques
  80. Sun Aug 31 20:16:50 2025 commencing in-memory singleton removal
  81. Sun Aug 31 20:16:56 2025 begin with 39431865 relations and 33289720 unique ideals
  82. Sun Aug 31 20:17:30 2025 reduce to 39076661 relations and 29679936 ideals in 6 passes
  83. Sun Aug 31 20:17:30 2025 max relations containing the same ideal: 128
  84. Sun Aug 31 20:18:00 2025 removing 5197826 relations and 3197826 ideals in 2000000 cliques
  85. Sun Aug 31 20:18:03 2025 commencing in-memory singleton removal
  86. Sun Aug 31 20:18:07 2025 begin with 33878835 relations and 29679936 unique ideals
  87. Sun Aug 31 20:18:38 2025 reduce to 33496546 relations and 26083293 ideals in 6 passes
  88. Sun Aug 31 20:18:38 2025 max relations containing the same ideal: 120
  89. Sun Aug 31 20:19:04 2025 removing 5168181 relations and 3168181 ideals in 2000000 cliques
  90. Sun Aug 31 20:19:07 2025 commencing in-memory singleton removal
  91. Sun Aug 31 20:19:11 2025 begin with 28328365 relations and 26083293 unique ideals
  92. Sun Aug 31 20:19:39 2025 reduce to 27902356 relations and 22467913 ideals in 7 passes
  93. Sun Aug 31 20:19:39 2025 max relations containing the same ideal: 105
  94. Sun Aug 31 20:20:01 2025 removing 5140677 relations and 3140677 ideals in 2000000 cliques
  95. Sun Aug 31 20:20:04 2025 commencing in-memory singleton removal
  96. Sun Aug 31 20:20:07 2025 begin with 22761679 relations and 22467913 unique ideals
  97. Sun Aug 31 20:20:28 2025 reduce to 22274231 relations and 18811106 ideals in 6 passes
  98. Sun Aug 31 20:20:28 2025 max relations containing the same ideal: 92
  99. Sun Aug 31 20:20:45 2025 removing 5107280 relations and 3107280 ideals in 2000000 cliques
  100. Sun Aug 31 20:20:47 2025 commencing in-memory singleton removal
  101. Sun Aug 31 20:20:50 2025 begin with 17166951 relations and 18811106 unique ideals
  102. Sun Aug 31 20:21:08 2025 reduce to 16581164 relations and 15074922 ideals in 8 passes
  103. Sun Aug 31 20:21:08 2025 max relations containing the same ideal: 74
  104. Sun Aug 31 20:21:21 2025 removing 2845938 relations and 1826214 ideals in 1019724 cliques
  105. Sun Aug 31 20:21:23 2025 commencing in-memory singleton removal
  106. Sun Aug 31 20:21:25 2025 begin with 13735226 relations and 15074922 unique ideals
  107. Sun Aug 31 20:21:40 2025 reduce to 13383569 relations and 12876666 ideals in 8 passes
  108. Sun Aug 31 20:21:40 2025 max relations containing the same ideal: 63
  109. Sun Aug 31 20:21:51 2025 removing 108183 relations and 87798 ideals in 20385 cliques
  110. Sun Aug 31 20:21:52 2025 commencing in-memory singleton removal
  111. Sun Aug 31 20:21:53 2025 begin with 13275386 relations and 12876666 unique ideals
  112. Sun Aug 31 20:22:02 2025 reduce to 13274438 relations and 12787919 ideals in 5 passes
  113. Sun Aug 31 20:22:02 2025 max relations containing the same ideal: 61
  114. Sun Aug 31 20:22:07 2025 relations with 0 large ideals: 31137
  115. Sun Aug 31 20:22:07 2025 relations with 1 large ideals: 9996
  116. Sun Aug 31 20:22:07 2025 relations with 2 large ideals: 91024
  117. Sun Aug 31 20:22:07 2025 relations with 3 large ideals: 536274
  118. Sun Aug 31 20:22:07 2025 relations with 4 large ideals: 1683969
  119. Sun Aug 31 20:22:07 2025 relations with 5 large ideals: 3077659
  120. Sun Aug 31 20:22:07 2025 relations with 6 large ideals: 3475381
  121. Sun Aug 31 20:22:07 2025 relations with 7+ large ideals: 4368998
  122. Sun Aug 31 20:22:07 2025 commencing 2-way merge
  123. Sun Aug 31 20:22:20 2025 reduce to 9331334 relation sets and 8844815 unique ideals
  124. Sun Aug 31 20:22:20 2025 commencing full merge
  125. Sun Aug 31 20:28:34 2025 memory use: 1217.6 MB
  126. Sun Aug 31 20:28:35 2025 found 4179066 cycles, need 4173015
  127. Sun Aug 31 20:28:38 2025 weight of 4173015 cycles is about 501585221 (120.20/cycle)
  128. Sun Aug 31 20:28:38 2025 distribution of cycle lengths:
  129. Sun Aug 31 20:28:38 2025 1 relations: 115324
  130. Sun Aug 31 20:28:38 2025 2 relations: 193113
  131. Sun Aug 31 20:28:38 2025 3 relations: 259951
  132. Sun Aug 31 20:28:38 2025 4 relations: 288869
  133. Sun Aug 31 20:28:38 2025 5 relations: 312245
  134. Sun Aug 31 20:28:38 2025 6 relations: 317709
  135. Sun Aug 31 20:28:38 2025 7 relations: 315043
  136. Sun Aug 31 20:28:38 2025 8 relations: 302684
  137. Sun Aug 31 20:28:38 2025 9 relations: 284224
  138. Sun Aug 31 20:28:38 2025 10+ relations: 1783853
  139. Sun Aug 31 20:28:38 2025 heaviest cycle: 28 relations
  140. Sun Aug 31 20:28:40 2025 commencing cycle optimization
  141. Sun Aug 31 20:28:57 2025 start with 39347058 relations
  142. Sun Aug 31 20:31:35 2025 pruned 2256722 relations
  143. Sun Aug 31 20:31:35 2025 memory use: 958.0 MB
  144. Sun Aug 31 20:31:35 2025 distribution of cycle lengths:
  145. Sun Aug 31 20:31:35 2025 1 relations: 115324
  146. Sun Aug 31 20:31:35 2025 2 relations: 198317
  147. Sun Aug 31 20:31:35 2025 3 relations: 271984
  148. Sun Aug 31 20:31:35 2025 4 relations: 303469
  149. Sun Aug 31 20:31:35 2025 5 relations: 332147
  150. Sun Aug 31 20:31:35 2025 6 relations: 338032
  151. Sun Aug 31 20:31:35 2025 7 relations: 337388
  152. Sun Aug 31 20:31:35 2025 8 relations: 322609
  153. Sun Aug 31 20:31:35 2025 9 relations: 301876
  154. Sun Aug 31 20:31:35 2025 10+ relations: 1651869
  155. Sun Aug 31 20:31:35 2025 heaviest cycle: 28 relations
  156. Sun Aug 31 20:31:46 2025 RelProcTime: 4842
  157. Sun Aug 31 20:31:46 2025
  158. Sun Aug 31 20:31:46 2025 commencing linear algebra
  159. Sun Aug 31 20:31:46 2025 using VBITS=512
  160. Sun Aug 31 20:31:47 2025 read 4173015 cycles
  161. Sun Aug 31 20:32:01 2025 cycles contain 13061391 unique relations
  162. Sun Aug 31 20:33:38 2025 read 13061391 relations
  163. Sun Aug 31 20:34:09 2025 using 20 quadratic characters above 4294917295
  164. Sun Aug 31 20:35:22 2025 building initial matrix
  165. Sun Aug 31 20:40:34 2025 memory use: 1602.8 MB
  166. Sun Aug 31 20:40:38 2025 read 4173015 cycles
  167. Sun Aug 31 20:40:38 2025 matrix is 4172838 x 4173015 (1920.3 MB) with weight 543957318 (130.35/col)
  168. Sun Aug 31 20:40:38 2025 sparse part has weight 461666135 (110.63/col)
  169. Sun Aug 31 20:42:01 2025 filtering completed in 2 passes
  170. Sun Aug 31 20:42:02 2025 matrix is 4172799 x 4172942 (1920.3 MB) with weight 543955390 (130.35/col)
  171. Sun Aug 31 20:42:02 2025 sparse part has weight 461665453 (110.63/col)
  172. Sun Aug 31 20:42:30 2025 matrix starts at (0, 0)
  173. Sun Aug 31 20:42:31 2025 matrix is 4172799 x 4172942 (1920.3 MB) with weight 543955390 (130.35/col)
  174. Sun Aug 31 20:42:31 2025 sparse part has weight 461665453 (110.63/col)
  175. Sun Aug 31 20:42:31 2025 saving the first 496 matrix rows for later
  176. Sun Aug 31 20:42:34 2025 matrix includes 512 packed rows
  177. Sun Aug 31 20:42:40 2025 matrix is 4172303 x 4172942 (1801.8 MB) with weight 394625189 (94.57/col)
  178. Sun Aug 31 20:42:40 2025 sparse part has weight 372170825 (89.19/col)
  179. Mon Sep 1 10:08:34 2025
  180. Mon Sep 1 10:08:34 2025
  181. Mon Sep 1 10:08:34 2025 Msieve v. 1.54 (SVN unknown)
  182. Mon Sep 1 10:08:34 2025 random seeds: dfc1eac7 21360dcb
  183. Mon Sep 1 10:08:34 2025 factoring 6534506152792521483348877144818526153707353434466508197724531153338985107693117315452696491483913974620691453507267112735314045394467403870220532317732522228886866795668549210662325639874502841001983901239043752600618172113 (223 digits)
  184. Mon Sep 1 10:08:35 2025 no P-1/P+1/ECM available, skipping
  185. Mon Sep 1 10:08:35 2025 commencing number field sieve (223-digit input)
  186. Mon Sep 1 10:08:35 2025 R0: 13673156831674575282751232792517476402
  187. Mon Sep 1 10:08:35 2025 R1: -3697723195653586951
  188. Mon Sep 1 10:08:35 2025 A0: -1
  189. Mon Sep 1 10:08:35 2025 A1: 3
  190. Mon Sep 1 10:08:35 2025 A2: 6
  191. Mon Sep 1 10:08:35 2025 A3: -4
  192. Mon Sep 1 10:08:35 2025 A4: -5
  193. Mon Sep 1 10:08:35 2025 A5: 1
  194. Mon Sep 1 10:08:35 2025 A6: 1
  195. Mon Sep 1 10:08:35 2025 skew 1.37, size 5.527e-11, alpha 3.126, combined = 2.167e-12 rroots = 6
  196. Mon Sep 1 10:08:35 2025
  197. Mon Sep 1 10:08:35 2025 commencing linear algebra
  198. Mon Sep 1 10:08:35 2025 using VBITS=512
  199. Mon Sep 1 10:08:35 2025 skipping matrix build
  200. Mon Sep 1 10:08:37 2025 matrix starts at (0, 0)
  201. Mon Sep 1 10:08:37 2025 matrix is 4172799 x 4172942 (1920.3 MB) with weight 543955390 (130.35/col)
  202. Mon Sep 1 10:08:37 2025 sparse part has weight 461665453 (110.63/col)
  203. Mon Sep 1 10:08:37 2025 saving the first 496 matrix rows for later
  204. Mon Sep 1 10:08:39 2025 matrix includes 512 packed rows
  205. Mon Sep 1 10:08:43 2025 matrix is 4172303 x 4172942 (1801.8 MB) with weight 394625189 (94.57/col)
  206. Mon Sep 1 10:08:43 2025 sparse part has weight 372170825 (89.19/col)
  207. Mon Sep 1 10:08:43 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  208. Mon Sep 1 10:08:43 2025 selected card has CUDA arch 8.6
  209. Mon Sep 1 10:09:20 2025 commencing Lanczos iteration
  210. Mon Sep 1 10:09:21 2025 memory use: 4908.9 MB
  211. Mon Sep 1 10:09:36 2025 linear algebra at 0.4%, ETA 1h 7m
  212. Mon Sep 1 10:09:37 2025 checkpointing every 3570000 dimensions
  213. Mon Sep 1 11:24:45 2025 lanczos halted after 8163 iterations (dim = 4172303)
  214. Mon Sep 1 11:25:45 2025 recovered 34 nontrivial dependencies
  215. Mon Sep 1 11:25:45 2025 BLanczosTime: 4630
  216. Mon Sep 1 11:25:45 2025 elapsed time 01:17:11
  217. Mon Sep 1 11:57:48 2025
  218. Mon Sep 1 11:57:48 2025
  219. Mon Sep 1 11:57:48 2025 Msieve v. 1.54 (SVN Unversioned directory)
  220. Mon Sep 1 11:57:48 2025 random seeds: 0477077a 8bd2f95c
  221. Mon Sep 1 11:57:48 2025 factoring 6534506152792521483348877144818526153707353434466508197724531153338985107693117315452696491483913974620691453507267112735314045394467403870220532317732522228886866795668549210662325639874502841001983901239043752600618172113 (223 digits)
  222. Mon Sep 1 11:57:50 2025 searching for 15-digit factors
  223. Mon Sep 1 11:57:51 2025 commencing number field sieve (223-digit input)
  224. Mon Sep 1 11:57:51 2025 R0: 13673156831674575282751232792517476402
  225. Mon Sep 1 11:57:51 2025 R1: -3697723195653586951
  226. Mon Sep 1 11:57:51 2025 A0: -1
  227. Mon Sep 1 11:57:51 2025 A1: 3
  228. Mon Sep 1 11:57:51 2025 A2: 6
  229. Mon Sep 1 11:57:51 2025 A3: -4
  230. Mon Sep 1 11:57:51 2025 A4: -5
  231. Mon Sep 1 11:57:51 2025 A5: 1
  232. Mon Sep 1 11:57:51 2025 A6: 1
  233. Mon Sep 1 11:57:51 2025 skew 1.37, size 5.527e-11, alpha 3.126, combined = 2.167e-12 rroots = 6
  234. Mon Sep 1 11:57:51 2025
  235. Mon Sep 1 11:57:51 2025 commencing square root phase
  236. Mon Sep 1 11:57:51 2025 reading relations for dependency 1
  237. Mon Sep 1 11:57:52 2025 read 2086934 cycles
  238. Mon Sep 1 11:58:01 2025 cycles contain 6531860 unique relations
  239. Mon Sep 1 11:59:15 2025 read 6531860 relations
  240. Mon Sep 1 12:00:11 2025 multiplying 6531860 relations
  241. Mon Sep 1 12:07:45 2025 multiply complete, coefficients have about 158.05 million bits
  242. Mon Sep 1 12:07:46 2025 initial square root is modulo 470021
  243. Mon Sep 1 12:16:39 2025 GCD is N, no factor found
  244. Mon Sep 1 12:16:39 2025 reading relations for dependency 2
  245. Mon Sep 1 12:16:40 2025 read 2086346 cycles
  246. Mon Sep 1 12:16:49 2025 cycles contain 6533430 unique relations
  247. Mon Sep 1 12:17:54 2025 read 6533430 relations
  248. Mon Sep 1 12:18:49 2025 multiplying 6533430 relations
  249. Mon Sep 1 12:26:04 2025 multiply complete, coefficients have about 158.09 million bits
  250. Mon Sep 1 12:26:06 2025 initial square root is modulo 471439
  251. Mon Sep 1 12:34:26 2025 sqrtTime: 2195
  252. Mon Sep 1 12:34:26 2025 p90 factor: 445765224109402343196529211063018466893531292027718658112066176372005620883811275933072541
  253. Mon Sep 1 12:34:26 2025 p134 factor: 14659075673406017548787115474208746544319409790541338040955230832700892956511301343643505134437591480319639946711417846203230922973893
  254. Mon Sep 1 12:34:26 2025 elapsed time 00:36:38
  255.  
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