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Jun 16th, 2025
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  1. Mon Jun 16 18:31:34 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Mon Jun 16 18:31:34 2025 random seeds: ea77280d ac36fded
  3. Mon Jun 16 18:31:34 2025 Using 16 OpenMP threads
  4. Mon Jun 16 18:31:34 2025 factoring 10639099092415228763535707880587259627858428922186441234844089812970165595500509091907925100241096664241140565944590149520537165365089859646715647694910988257452599 (164 digits)
  5. Mon Jun 16 18:31:34 2025 no P-1/P+1/ECM available, skipping
  6. Mon Jun 16 18:31:34 2025 commencing number field sieve (164-digit input)
  7. Mon Jun 16 18:31:34 2025 R0: -23496280261313500430834460537753
  8. Mon Jun 16 18:31:34 2025 R1: 1883164684659206524940227
  9. Mon Jun 16 18:31:34 2025 A0: 194437006870530164671481031810999490408000
  10. Mon Jun 16 18:31:34 2025 A1: 36923756906965326649545826523207310
  11. Mon Jun 16 18:31:34 2025 A2: -839222146292326498785516881
  12. Mon Jun 16 18:31:34 2025 A3: -47097932670098602656
  13. Mon Jun 16 18:31:34 2025 A4: 606290637292
  14. Mon Jun 16 18:31:34 2025 A5: 5040
  15. Mon Jun 16 18:31:34 2025 skew 28956410.52, size 8.815e-16, alpha -8.015, combined = 1.064e-12 rroots = 5
  16. Mon Jun 16 18:31:34 2025
  17. Mon Jun 16 18:31:34 2025 commencing relation filtering
  18. Mon Jun 16 18:31:34 2025 setting target matrix density to 105.0
  19. Mon Jun 16 18:31:34 2025 estimated available RAM is 128734.6 MB
  20. Mon Jun 16 18:31:34 2025 commencing duplicate removal, pass 1
  21. Mon Jun 16 18:35:25 2025 found 8537952 hash collisions in 197396601 relations
  22. Mon Jun 16 18:35:37 2025 added 121781 free relations
  23. Mon Jun 16 18:35:37 2025 commencing duplicate removal, pass 2
  24. Mon Jun 16 18:36:12 2025 found 0 duplicates and 197518382 unique relations
  25. Mon Jun 16 18:36:12 2025 memory use: 554.4 MB
  26. Mon Jun 16 18:36:12 2025 reading ideals above 720000
  27. Mon Jun 16 18:36:12 2025 commencing singleton removal, initial pass
  28. Mon Jun 16 18:40:46 2025 memory use: 3012.0 MB
  29. Mon Jun 16 18:40:47 2025 reading all ideals from disk
  30. Mon Jun 16 18:40:48 2025 memory use: 8952.1 MB
  31. Mon Jun 16 18:40:55 2025 keeping 162227402 ideals with weight <= 200, target excess is 965100
  32. Mon Jun 16 18:41:04 2025 commencing in-memory singleton removal
  33. Mon Jun 16 18:41:07 2025 begin with 197518382 relations and 162227402 unique ideals
  34. Mon Jun 16 18:41:23 2025 reduce to 155710662 relations and 118605499 ideals in 15 passes
  35. Mon Jun 16 18:41:23 2025 max relations containing the same ideal: 179
  36. Mon Jun 16 18:41:49 2025 removing 10642420 relations and 8642420 ideals in 2000000 cliques
  37. Mon Jun 16 18:41:52 2025 commencing in-memory singleton removal
  38. Mon Jun 16 18:41:54 2025 begin with 145068242 relations and 118605499 unique ideals
  39. Mon Jun 16 18:42:01 2025 reduce to 144532242 relations and 109418420 ideals in 8 passes
  40. Mon Jun 16 18:42:01 2025 max relations containing the same ideal: 171
  41. Mon Jun 16 18:42:25 2025 removing 8126857 relations and 6126858 ideals in 2000000 cliques
  42. Mon Jun 16 18:42:27 2025 commencing in-memory singleton removal
  43. Mon Jun 16 18:42:29 2025 begin with 136405385 relations and 109418420 unique ideals
  44. Mon Jun 16 18:42:35 2025 reduce to 136044993 relations and 102925817 ideals in 7 passes
  45. Mon Jun 16 18:42:35 2025 max relations containing the same ideal: 166
  46. Mon Jun 16 18:42:57 2025 removing 7379744 relations and 5379744 ideals in 2000000 cliques
  47. Mon Jun 16 18:42:59 2025 commencing in-memory singleton removal
  48. Mon Jun 16 18:43:01 2025 begin with 128665249 relations and 102925817 unique ideals
  49. Mon Jun 16 18:43:07 2025 reduce to 128348221 relations and 97224477 ideals in 7 passes
  50. Mon Jun 16 18:43:07 2025 max relations containing the same ideal: 160
  51. Mon Jun 16 18:43:27 2025 removing 6991457 relations and 4991457 ideals in 2000000 cliques
  52. Mon Jun 16 18:43:30 2025 commencing in-memory singleton removal
  53. Mon Jun 16 18:43:31 2025 begin with 121356764 relations and 97224477 unique ideals
  54. Mon Jun 16 18:43:37 2025 reduce to 121061893 relations and 91933742 ideals in 7 passes
  55. Mon Jun 16 18:43:37 2025 max relations containing the same ideal: 154
  56. Mon Jun 16 18:43:56 2025 removing 6741885 relations and 4741885 ideals in 2000000 cliques
  57. Mon Jun 16 18:43:59 2025 commencing in-memory singleton removal
  58. Mon Jun 16 18:44:00 2025 begin with 114320008 relations and 91933742 unique ideals
  59. Mon Jun 16 18:44:04 2025 reduce to 114034104 relations and 86901464 ideals in 6 passes
  60. Mon Jun 16 18:44:04 2025 max relations containing the same ideal: 150
  61. Mon Jun 16 18:44:23 2025 removing 6574097 relations and 4574097 ideals in 2000000 cliques
  62. Mon Jun 16 18:44:25 2025 commencing in-memory singleton removal
  63. Mon Jun 16 18:44:27 2025 begin with 107460007 relations and 86901464 unique ideals
  64. Mon Jun 16 18:44:31 2025 reduce to 107176231 relations and 82038887 ideals in 7 passes
  65. Mon Jun 16 18:44:31 2025 max relations containing the same ideal: 144
  66. Mon Jun 16 18:44:49 2025 removing 6450608 relations and 4450608 ideals in 2000000 cliques
  67. Mon Jun 16 18:44:51 2025 commencing in-memory singleton removal
  68. Mon Jun 16 18:44:52 2025 begin with 100725623 relations and 82038887 unique ideals
  69. Mon Jun 16 18:44:57 2025 reduce to 100440228 relations and 77297841 ideals in 8 passes
  70. Mon Jun 16 18:44:57 2025 max relations containing the same ideal: 138
  71. Mon Jun 16 18:45:14 2025 removing 6363902 relations and 4363902 ideals in 2000000 cliques
  72. Mon Jun 16 18:45:16 2025 commencing in-memory singleton removal
  73. Mon Jun 16 18:45:17 2025 begin with 94076326 relations and 77297841 unique ideals
  74. Mon Jun 16 18:45:21 2025 reduce to 93785134 relations and 72637375 ideals in 7 passes
  75. Mon Jun 16 18:45:21 2025 max relations containing the same ideal: 131
  76. Mon Jun 16 18:45:38 2025 removing 6295278 relations and 4295278 ideals in 2000000 cliques
  77. Mon Jun 16 18:45:39 2025 commencing in-memory singleton removal
  78. Mon Jun 16 18:45:40 2025 begin with 87489856 relations and 72637375 unique ideals
  79. Mon Jun 16 18:45:44 2025 reduce to 87187635 relations and 68033990 ideals in 7 passes
  80. Mon Jun 16 18:45:44 2025 max relations containing the same ideal: 127
  81. Mon Jun 16 18:45:59 2025 removing 6255019 relations and 4255019 ideals in 2000000 cliques
  82. Mon Jun 16 18:46:01 2025 commencing in-memory singleton removal
  83. Mon Jun 16 18:46:02 2025 begin with 80932616 relations and 68033990 unique ideals
  84. Mon Jun 16 18:46:05 2025 reduce to 80615176 relations and 63454832 ideals in 6 passes
  85. Mon Jun 16 18:46:05 2025 max relations containing the same ideal: 119
  86. Mon Jun 16 18:46:19 2025 removing 6226066 relations and 4226066 ideals in 2000000 cliques
  87. Mon Jun 16 18:46:21 2025 commencing in-memory singleton removal
  88. Mon Jun 16 18:46:22 2025 begin with 74389110 relations and 63454832 unique ideals
  89. Mon Jun 16 18:46:25 2025 reduce to 74050409 relations and 58882400 ideals in 7 passes
  90. Mon Jun 16 18:46:25 2025 max relations containing the same ideal: 110
  91. Mon Jun 16 18:46:38 2025 removing 6221288 relations and 4221288 ideals in 2000000 cliques
  92. Mon Jun 16 18:46:39 2025 commencing in-memory singleton removal
  93. Mon Jun 16 18:46:40 2025 begin with 67829121 relations and 58882400 unique ideals
  94. Mon Jun 16 18:46:43 2025 reduce to 67464350 relations and 54287510 ideals in 7 passes
  95. Mon Jun 16 18:46:43 2025 max relations containing the same ideal: 104
  96. Mon Jun 16 18:46:55 2025 removing 6235432 relations and 4235432 ideals in 2000000 cliques
  97. Mon Jun 16 18:46:57 2025 commencing in-memory singleton removal
  98. Mon Jun 16 18:46:57 2025 begin with 61228918 relations and 54287510 unique ideals
  99. Mon Jun 16 18:47:00 2025 reduce to 60828242 relations and 49640945 ideals in 7 passes
  100. Mon Jun 16 18:47:00 2025 max relations containing the same ideal: 96
  101. Mon Jun 16 18:47:11 2025 removing 6263504 relations and 4263504 ideals in 2000000 cliques
  102. Mon Jun 16 18:47:13 2025 commencing in-memory singleton removal
  103. Mon Jun 16 18:47:13 2025 begin with 54564738 relations and 49640945 unique ideals
  104. Mon Jun 16 18:47:15 2025 reduce to 54115123 relations and 44914869 ideals in 7 passes
  105. Mon Jun 16 18:47:15 2025 max relations containing the same ideal: 89
  106. Mon Jun 16 18:47:26 2025 removing 6321856 relations and 4321856 ideals in 2000000 cliques
  107. Mon Jun 16 18:47:27 2025 commencing in-memory singleton removal
  108. Mon Jun 16 18:47:27 2025 begin with 47793267 relations and 44914869 unique ideals
  109. Mon Jun 16 18:47:29 2025 reduce to 47276012 relations and 40059095 ideals in 7 passes
  110. Mon Jun 16 18:47:29 2025 max relations containing the same ideal: 82
  111. Mon Jun 16 18:47:38 2025 removing 6405755 relations and 4405755 ideals in 2000000 cliques
  112. Mon Jun 16 18:47:40 2025 commencing in-memory singleton removal
  113. Mon Jun 16 18:47:40 2025 begin with 40870257 relations and 40059095 unique ideals
  114. Mon Jun 16 18:47:42 2025 reduce to 40255447 relations and 35015913 ideals in 9 passes
  115. Mon Jun 16 18:47:42 2025 max relations containing the same ideal: 73
  116. Mon Jun 16 18:47:50 2025 removing 6531241 relations and 4531241 ideals in 2000000 cliques
  117. Mon Jun 16 18:47:52 2025 commencing in-memory singleton removal
  118. Mon Jun 16 18:47:52 2025 begin with 33724206 relations and 35015913 unique ideals
  119. Mon Jun 16 18:47:53 2025 reduce to 32958308 relations and 29686395 ideals in 8 passes
  120. Mon Jun 16 18:47:53 2025 max relations containing the same ideal: 63
  121. Mon Jun 16 18:48:00 2025 removing 6699884 relations and 4699884 ideals in 2000000 cliques
  122. Mon Jun 16 18:48:01 2025 commencing in-memory singleton removal
  123. Mon Jun 16 18:48:02 2025 begin with 26258424 relations and 29686395 unique ideals
  124. Mon Jun 16 18:48:03 2025 reduce to 25235685 relations and 23909650 ideals in 11 passes
  125. Mon Jun 16 18:48:03 2025 max relations containing the same ideal: 55
  126. Mon Jun 16 18:48:09 2025 removing 1176582 relations and 970064 ideals in 206518 cliques
  127. Mon Jun 16 18:48:09 2025 commencing in-memory singleton removal
  128. Mon Jun 16 18:48:09 2025 begin with 24059103 relations and 23909650 unique ideals
  129. Mon Jun 16 18:48:10 2025 reduce to 24019574 relations and 22899759 ideals in 7 passes
  130. Mon Jun 16 18:48:10 2025 max relations containing the same ideal: 51
  131. Mon Jun 16 18:48:17 2025 relations with 0 large ideals: 3445
  132. Mon Jun 16 18:48:17 2025 relations with 1 large ideals: 36762
  133. Mon Jun 16 18:48:17 2025 relations with 2 large ideals: 439062
  134. Mon Jun 16 18:48:17 2025 relations with 3 large ideals: 2072985
  135. Mon Jun 16 18:48:17 2025 relations with 4 large ideals: 5025570
  136. Mon Jun 16 18:48:17 2025 relations with 5 large ideals: 6935085
  137. Mon Jun 16 18:48:17 2025 relations with 6 large ideals: 5728070
  138. Mon Jun 16 18:48:17 2025 relations with 7+ large ideals: 3778595
  139. Mon Jun 16 18:48:17 2025 commencing 2-way merge
  140. Mon Jun 16 18:48:24 2025 reduce to 14473514 relation sets and 13353699 unique ideals
  141. Mon Jun 16 18:48:24 2025 commencing full merge
  142. Mon Jun 16 18:50:39 2025 memory use: 1638.6 MB
  143. Mon Jun 16 18:50:40 2025 found 6774077 cycles, need 6639899
  144. Mon Jun 16 18:50:41 2025 weight of 6639899 cycles is about 697548411 (105.05/cycle)
  145. Mon Jun 16 18:50:41 2025 distribution of cycle lengths:
  146. Mon Jun 16 18:50:41 2025 1 relations: 450946
  147. Mon Jun 16 18:50:41 2025 2 relations: 488462
  148. Mon Jun 16 18:50:41 2025 3 relations: 512104
  149. Mon Jun 16 18:50:41 2025 4 relations: 517037
  150. Mon Jun 16 18:50:41 2025 5 relations: 524733
  151. Mon Jun 16 18:50:41 2025 6 relations: 521791
  152. Mon Jun 16 18:50:41 2025 7 relations: 503560
  153. Mon Jun 16 18:50:41 2025 8 relations: 477784
  154. Mon Jun 16 18:50:41 2025 9 relations: 439844
  155. Mon Jun 16 18:50:41 2025 10+ relations: 2203638
  156. Mon Jun 16 18:50:41 2025 heaviest cycle: 24 relations
  157. Mon Jun 16 18:50:42 2025 commencing cycle optimization
  158. Mon Jun 16 18:50:50 2025 start with 51635697 relations
  159. Mon Jun 16 18:51:41 2025 pruned 1920491 relations
  160. Mon Jun 16 18:51:41 2025 memory use: 1503.1 MB
  161. Mon Jun 16 18:51:41 2025 distribution of cycle lengths:
  162. Mon Jun 16 18:51:41 2025 1 relations: 450946
  163. Mon Jun 16 18:51:41 2025 2 relations: 500303
  164. Mon Jun 16 18:51:41 2025 3 relations: 532215
  165. Mon Jun 16 18:51:41 2025 4 relations: 535972
  166. Mon Jun 16 18:51:41 2025 5 relations: 547675
  167. Mon Jun 16 18:51:41 2025 6 relations: 543456
  168. Mon Jun 16 18:51:41 2025 7 relations: 526419
  169. Mon Jun 16 18:51:41 2025 8 relations: 495675
  170. Mon Jun 16 18:51:41 2025 9 relations: 455297
  171. Mon Jun 16 18:51:41 2025 10+ relations: 2051941
  172. Mon Jun 16 18:51:41 2025 heaviest cycle: 24 relations
  173. Mon Jun 16 18:51:48 2025 RelProcTime: 1214
  174. Mon Jun 16 18:51:48 2025 elapsed time 00:20:14
  175. Mon Jun 16 18:53:06 2025
  176. Mon Jun 16 18:53:06 2025
  177. Mon Jun 16 18:53:06 2025 Msieve v. 1.54 (SVN 66ed352)
  178. Mon Jun 16 18:53:06 2025 random seeds: 4c46d878 5105732e
  179. Mon Jun 16 18:53:06 2025 MPI process 0 of 2
  180. Mon Jun 16 18:53:06 2025 Using 8 OpenMP threads
  181. Mon Jun 16 18:53:06 2025 factoring 10639099092415228763535707880587259627858428922186441234844089812970165595500509091907925100241096664241140565944590149520537165365089859646715647694910988257452599 (164 digits)
  182. Mon Jun 16 18:53:06 2025 no P-1/P+1/ECM available, skipping
  183. Mon Jun 16 18:53:06 2025 commencing number field sieve (164-digit input)
  184. Mon Jun 16 18:53:06 2025 R0: -23496280261313500430834460537753
  185. Mon Jun 16 18:53:06 2025 R1: 1883164684659206524940227
  186. Mon Jun 16 18:53:06 2025 A0: 194437006870530164671481031810999490408000
  187. Mon Jun 16 18:53:06 2025 A1: 36923756906965326649545826523207310
  188. Mon Jun 16 18:53:06 2025 A2: -839222146292326498785516881
  189. Mon Jun 16 18:53:06 2025 A3: -47097932670098602656
  190. Mon Jun 16 18:53:06 2025 A4: 606290637292
  191. Mon Jun 16 18:53:06 2025 A5: 5040
  192. Mon Jun 16 18:53:06 2025 skew 28956410.52, size 8.815e-16, alpha -8.015, combined = 1.064e-12 rroots = 5
  193. Mon Jun 16 18:53:06 2025
  194. Mon Jun 16 18:53:06 2025 commencing linear algebra
  195. Mon Jun 16 18:53:06 2025 using VBITS=256
  196. Mon Jun 16 18:53:06 2025 initialized process (0,0) of 1 x 2 grid
  197. Mon Jun 16 18:53:06 2025 read 6639899 cycles
  198. Mon Jun 16 18:53:14 2025 cycles contain 23348761 unique relations
  199. Mon Jun 16 18:53:28 2025 read 23348761 relations
  200. Mon Jun 16 18:53:31 2025 using 20 quadratic characters above 4294917295
  201. Mon Jun 16 18:53:37 2025 building initial matrix
  202. Mon Jun 16 18:56:01 2025 memory use: 3105.8 MB
  203. Mon Jun 16 18:56:04 2025 read 6639899 cycles
  204. Mon Jun 16 18:56:05 2025 matrix is 6639722 x 6639899 (2806.5 MB) with weight 860101983 (129.54/col)
  205. Mon Jun 16 18:56:05 2025 sparse part has weight 656016731 (98.80/col)
  206. Mon Jun 16 18:56:42 2025 filtering completed in 2 passes
  207. Mon Jun 16 18:56:43 2025 matrix is 6638454 x 6638630 (2806.3 MB) with weight 860038819 (129.55/col)
  208. Mon Jun 16 18:56:43 2025 sparse part has weight 655993800 (98.81/col)
  209. Mon Jun 16 18:56:53 2025 matrix starts at (0, 0)
  210. Mon Jun 16 18:56:54 2025 matrix is 6638454 x 3319314 (1403.2 MB) with weight 430012815 (129.55/col)
  211. Mon Jun 16 18:56:54 2025 sparse part has weight 327997007 (98.81/col)
  212. Mon Jun 16 18:56:54 2025 saving the first 240 matrix rows for later
  213. Mon Jun 16 18:56:54 2025 matrix includes 256 packed rows
  214. Mon Jun 16 18:56:55 2025 matrix is 6638214 x 3319314 (1267.6 MB) with weight 298256488 (89.85/col)
  215. Mon Jun 16 18:56:55 2025 sparse part has weight 279181747 (84.11/col)
  216. Mon Jun 16 18:56:55 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  217. Mon Jun 16 18:56:55 2025 selected card has CUDA arch 8.6
  218. Mon Jun 16 18:57:05 2025 commencing Lanczos iteration
  219. Mon Jun 16 18:57:06 2025 memory use: 3282.2 MB
  220. Mon Jun 16 18:57:16 2025 linear algebra at 0.5%, ETA 0h35m
  221. Mon Jun 16 18:57:32 2025 checking every 170000 dimensions, checkpointing every 10710000 dimensions
  222. Mon Jun 16 19:34:09 2025 lanczos halted after 26010 iterations (dim = 6638211)
  223. Mon Jun 16 19:34:33 2025 recovered 25 nontrivial dependencies
  224. Mon Jun 16 19:34:33 2025 BLanczosTime: 2487
  225. Mon Jun 16 19:34:33 2025 elapsed time 00:41:27
  226. Mon Jun 16 19:34:37 2025
  227. Mon Jun 16 19:34:37 2025
  228. Mon Jun 16 19:34:37 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  229. Mon Jun 16 19:34:37 2025 random seeds: 5fa3d51a 222ed285
  230. Mon Jun 16 19:34:37 2025 Using 16 OpenMP threads
  231. Mon Jun 16 19:34:37 2025 factoring 10639099092415228763535707880587259627858428922186441234844089812970165595500509091907925100241096664241140565944590149520537165365089859646715647694910988257452599 (164 digits)
  232. Mon Jun 16 19:34:37 2025 no P-1/P+1/ECM available, skipping
  233. Mon Jun 16 19:34:37 2025 commencing number field sieve (164-digit input)
  234. Mon Jun 16 19:34:37 2025 R0: -23496280261313500430834460537753
  235. Mon Jun 16 19:34:37 2025 R1: 1883164684659206524940227
  236. Mon Jun 16 19:34:37 2025 A0: 194437006870530164671481031810999490408000
  237. Mon Jun 16 19:34:37 2025 A1: 36923756906965326649545826523207310
  238. Mon Jun 16 19:34:37 2025 A2: -839222146292326498785516881
  239. Mon Jun 16 19:34:37 2025 A3: -47097932670098602656
  240. Mon Jun 16 19:34:37 2025 A4: 606290637292
  241. Mon Jun 16 19:34:37 2025 A5: 5040
  242. Mon Jun 16 19:34:37 2025 skew 28956410.52, size 8.815e-16, alpha -8.015, combined = 1.064e-12 rroots = 5
  243. Mon Jun 16 19:34:37 2025
  244. Mon Jun 16 19:34:37 2025 commencing square root phase
  245. Mon Jun 16 19:34:37 2025 reading relations for dependency 1
  246. Mon Jun 16 19:34:37 2025 read 3319038 cycles
  247. Mon Jun 16 19:34:41 2025 cycles contain 11675484 unique relations
  248. Mon Jun 16 19:34:52 2025 read 11675484 relations
  249. Mon Jun 16 19:35:15 2025 multiplying 11675484 relations
  250. Mon Jun 16 19:35:55 2025 multiply complete, coefficients have about 592.69 million bits
  251. Mon Jun 16 19:35:56 2025 initial square root is modulo 207721
  252. Mon Jun 16 19:37:38 2025 sqrtTime: 181
  253. Mon Jun 16 19:37:38 2025 p78 factor: 394872326250668181754892688059892397158745225240523395236012137720100415340101
  254. Mon Jun 16 19:37:38 2025 p86 factor: 26943136768874103522029654700323812681345326964513467694997570341851162016290202522699
  255. Mon Jun 16 19:37:38 2025 elapsed time 00:03:01
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