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Jun 17th, 2025
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  1. Tue Jun 17 11:56:09 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Jun 17 11:56:09 2025 random seeds: 8e700d42 2c23d617
  3. Tue Jun 17 11:56:09 2025 Using 16 OpenMP threads
  4. Tue Jun 17 11:56:09 2025 factoring 5698706907093353663523921408180486575250278509249403975524636568700615392727768639340434879668071901910017621667685675429602326192726219964944324299916645336863 (160 digits)
  5. Tue Jun 17 11:56:10 2025 no P-1/P+1/ECM available, skipping
  6. Tue Jun 17 11:56:10 2025 commencing number field sieve (160-digit input)
  7. Tue Jun 17 11:56:10 2025 R0: -10819716173510423539166594995788
  8. Tue Jun 17 11:56:10 2025 R1: 145462981877651754989501
  9. Tue Jun 17 11:56:10 2025 A0: 2022767665131401723529441536458367245690
  10. Tue Jun 17 11:56:10 2025 A1: -818098515492723972695583270685047
  11. Tue Jun 17 11:56:10 2025 A2: -181096843615644899256700434
  12. Tue Jun 17 11:56:10 2025 A3: 68760544484151362717
  13. Tue Jun 17 11:56:10 2025 A4: 2390783296374
  14. Tue Jun 17 11:56:10 2025 A5: 32760
  15. Tue Jun 17 11:56:10 2025 skew 8432148.94, size 1.748e-15, alpha -8.182, combined = 1.568e-12 rroots = 3
  16. Tue Jun 17 11:56:10 2025
  17. Tue Jun 17 11:56:10 2025 commencing relation filtering
  18. Tue Jun 17 11:56:10 2025 setting target matrix density to 100.0
  19. Tue Jun 17 11:56:10 2025 estimated available RAM is 128734.6 MB
  20. Tue Jun 17 11:56:10 2025 commencing duplicate removal, pass 1
  21. Tue Jun 17 12:04:43 2025 found 8441819 hash collisions in 140512850 relations
  22. Tue Jun 17 12:05:00 2025 added 121805 free relations
  23. Tue Jun 17 12:05:00 2025 commencing duplicate removal, pass 2
  24. Tue Jun 17 12:06:05 2025 found 0 duplicates and 140634655 unique relations
  25. Tue Jun 17 12:06:05 2025 memory use: 426.4 MB
  26. Tue Jun 17 12:06:06 2025 reading ideals above 720000
  27. Tue Jun 17 12:06:06 2025 commencing singleton removal, initial pass
  28. Tue Jun 17 12:23:40 2025 memory use: 3012.0 MB
  29. Tue Jun 17 12:23:41 2025 reading all ideals from disk
  30. Tue Jun 17 12:23:45 2025 memory use: 6277.9 MB
  31. Tue Jun 17 12:24:14 2025 keeping 110389446 ideals with weight <= 200, target excess is 746950
  32. Tue Jun 17 12:24:56 2025 commencing in-memory singleton removal
  33. Tue Jun 17 12:25:00 2025 begin with 140634655 relations and 110389446 unique ideals
  34. Tue Jun 17 12:25:43 2025 reduce to 116076796 relations and 85061507 ideals in 13 passes
  35. Tue Jun 17 12:25:43 2025 max relations containing the same ideal: 184
  36. Tue Jun 17 12:27:06 2025 removing 9666100 relations and 7666100 ideals in 2000000 cliques
  37. Tue Jun 17 12:27:11 2025 commencing in-memory singleton removal
  38. Tue Jun 17 12:27:15 2025 begin with 106410696 relations and 85061507 unique ideals
  39. Tue Jun 17 12:27:35 2025 reduce to 105825661 relations and 76797862 ideals in 7 passes
  40. Tue Jun 17 12:27:35 2025 max relations containing the same ideal: 175
  41. Tue Jun 17 12:28:52 2025 removing 7404294 relations and 5404294 ideals in 2000000 cliques
  42. Tue Jun 17 12:28:58 2025 commencing in-memory singleton removal
  43. Tue Jun 17 12:29:01 2025 begin with 98421367 relations and 76797862 unique ideals
  44. Tue Jun 17 12:29:20 2025 reduce to 98023281 relations and 70987591 ideals in 7 passes
  45. Tue Jun 17 12:29:20 2025 max relations containing the same ideal: 167
  46. Tue Jun 17 12:30:32 2025 removing 6763485 relations and 4763485 ideals in 2000000 cliques
  47. Tue Jun 17 12:30:37 2025 commencing in-memory singleton removal
  48. Tue Jun 17 12:30:40 2025 begin with 91259796 relations and 70987591 unique ideals
  49. Tue Jun 17 12:30:58 2025 reduce to 90913606 relations and 65871075 ideals in 7 passes
  50. Tue Jun 17 12:30:58 2025 max relations containing the same ideal: 162
  51. Tue Jun 17 12:32:06 2025 removing 6427978 relations and 4427978 ideals in 2000000 cliques
  52. Tue Jun 17 12:32:11 2025 commencing in-memory singleton removal
  53. Tue Jun 17 12:32:13 2025 begin with 84485628 relations and 65871075 unique ideals
  54. Tue Jun 17 12:32:30 2025 reduce to 84163798 relations and 61114566 ideals in 7 passes
  55. Tue Jun 17 12:32:30 2025 max relations containing the same ideal: 151
  56. Tue Jun 17 12:33:34 2025 removing 6210560 relations and 4210560 ideals in 2000000 cliques
  57. Tue Jun 17 12:33:38 2025 commencing in-memory singleton removal
  58. Tue Jun 17 12:33:40 2025 begin with 77953238 relations and 61114566 unique ideals
  59. Tue Jun 17 12:33:55 2025 reduce to 77642536 relations and 56586290 ideals in 7 passes
  60. Tue Jun 17 12:33:55 2025 max relations containing the same ideal: 144
  61. Tue Jun 17 12:34:55 2025 removing 6051526 relations and 4051526 ideals in 2000000 cliques
  62. Tue Jun 17 12:34:59 2025 commencing in-memory singleton removal
  63. Tue Jun 17 12:35:01 2025 begin with 71591010 relations and 56586290 unique ideals
  64. Tue Jun 17 12:35:13 2025 reduce to 71282524 relations and 52218750 ideals in 6 passes
  65. Tue Jun 17 12:35:13 2025 max relations containing the same ideal: 137
  66. Tue Jun 17 12:36:10 2025 removing 5939105 relations and 3939105 ideals in 2000000 cliques
  67. Tue Jun 17 12:36:14 2025 commencing in-memory singleton removal
  68. Tue Jun 17 12:36:15 2025 begin with 65343419 relations and 52218750 unique ideals
  69. Tue Jun 17 12:36:28 2025 reduce to 65032559 relations and 47960857 ideals in 7 passes
  70. Tue Jun 17 12:36:28 2025 max relations containing the same ideal: 132
  71. Tue Jun 17 12:37:18 2025 removing 5846729 relations and 3846729 ideals in 2000000 cliques
  72. Tue Jun 17 12:37:21 2025 commencing in-memory singleton removal
  73. Tue Jun 17 12:37:23 2025 begin with 59185830 relations and 47960857 unique ideals
  74. Tue Jun 17 12:37:36 2025 reduce to 58867215 relations and 43786698 ideals in 8 passes
  75. Tue Jun 17 12:37:36 2025 max relations containing the same ideal: 124
  76. Tue Jun 17 12:38:20 2025 removing 5775513 relations and 3775513 ideals in 2000000 cliques
  77. Tue Jun 17 12:38:23 2025 commencing in-memory singleton removal
  78. Tue Jun 17 12:38:25 2025 begin with 53091702 relations and 43786698 unique ideals
  79. Tue Jun 17 12:38:35 2025 reduce to 52758975 relations and 39668215 ideals in 7 passes
  80. Tue Jun 17 12:38:35 2025 max relations containing the same ideal: 118
  81. Tue Jun 17 12:39:17 2025 removing 5723315 relations and 3723315 ideals in 2000000 cliques
  82. Tue Jun 17 12:39:21 2025 commencing in-memory singleton removal
  83. Tue Jun 17 12:39:22 2025 begin with 47035660 relations and 39668215 unique ideals
  84. Tue Jun 17 12:39:31 2025 reduce to 46684664 relations and 35581963 ideals in 7 passes
  85. Tue Jun 17 12:39:31 2025 max relations containing the same ideal: 106
  86. Tue Jun 17 12:40:08 2025 removing 5678581 relations and 3678581 ideals in 2000000 cliques
  87. Tue Jun 17 12:40:11 2025 commencing in-memory singleton removal
  88. Tue Jun 17 12:40:12 2025 begin with 41006083 relations and 35581963 unique ideals
  89. Tue Jun 17 12:40:20 2025 reduce to 40629380 relations and 31512551 ideals in 7 passes
  90. Tue Jun 17 12:40:20 2025 max relations containing the same ideal: 94
  91. Tue Jun 17 12:40:53 2025 removing 5644543 relations and 3644543 ideals in 2000000 cliques
  92. Tue Jun 17 12:40:56 2025 commencing in-memory singleton removal
  93. Tue Jun 17 12:40:57 2025 begin with 34984837 relations and 31512551 unique ideals
  94. Tue Jun 17 12:41:04 2025 reduce to 34571460 relations and 27437187 ideals in 7 passes
  95. Tue Jun 17 12:41:04 2025 max relations containing the same ideal: 85
  96. Tue Jun 17 12:41:32 2025 removing 5609161 relations and 3609161 ideals in 2000000 cliques
  97. Tue Jun 17 12:41:35 2025 commencing in-memory singleton removal
  98. Tue Jun 17 12:41:36 2025 begin with 28962299 relations and 27437187 unique ideals
  99. Tue Jun 17 12:41:41 2025 reduce to 28497986 relations and 23341263 ideals in 7 passes
  100. Tue Jun 17 12:41:41 2025 max relations containing the same ideal: 75
  101. Tue Jun 17 12:42:04 2025 removing 5570919 relations and 3570919 ideals in 2000000 cliques
  102. Tue Jun 17 12:42:07 2025 commencing in-memory singleton removal
  103. Tue Jun 17 12:42:07 2025 begin with 22927067 relations and 23341263 unique ideals
  104. Tue Jun 17 12:42:12 2025 reduce to 22391431 relations and 19203621 ideals in 7 passes
  105. Tue Jun 17 12:42:12 2025 max relations containing the same ideal: 64
  106. Tue Jun 17 12:42:30 2025 removing 5512801 relations and 3512801 ideals in 2000000 cliques
  107. Tue Jun 17 12:42:33 2025 commencing in-memory singleton removal
  108. Tue Jun 17 12:42:33 2025 begin with 16878630 relations and 19203621 unique ideals
  109. Tue Jun 17 12:42:37 2025 reduce to 16213251 relations and 14976133 ideals in 9 passes
  110. Tue Jun 17 12:42:37 2025 max relations containing the same ideal: 51
  111. Tue Jun 17 12:42:51 2025 removing 1357074 relations and 986418 ideals in 370656 cliques
  112. Tue Jun 17 12:42:53 2025 commencing in-memory singleton removal
  113. Tue Jun 17 12:42:53 2025 begin with 14856177 relations and 14976133 unique ideals
  114. Tue Jun 17 12:42:56 2025 reduce to 14768171 relations and 13899817 ideals in 7 passes
  115. Tue Jun 17 12:42:56 2025 max relations containing the same ideal: 48
  116. Tue Jun 17 12:43:11 2025 relations with 0 large ideals: 2432
  117. Tue Jun 17 12:43:11 2025 relations with 1 large ideals: 29628
  118. Tue Jun 17 12:43:11 2025 relations with 2 large ideals: 338825
  119. Tue Jun 17 12:43:11 2025 relations with 3 large ideals: 1511306
  120. Tue Jun 17 12:43:11 2025 relations with 4 large ideals: 3380713
  121. Tue Jun 17 12:43:11 2025 relations with 5 large ideals: 4266763
  122. Tue Jun 17 12:43:11 2025 relations with 6 large ideals: 3248865
  123. Tue Jun 17 12:43:11 2025 relations with 7+ large ideals: 1989639
  124. Tue Jun 17 12:43:11 2025 commencing 2-way merge
  125. Tue Jun 17 12:43:24 2025 reduce to 9726609 relation sets and 8858255 unique ideals
  126. Tue Jun 17 12:43:24 2025 commencing full merge
  127. Tue Jun 17 12:48:41 2025 memory use: 1088.3 MB
  128. Tue Jun 17 12:48:44 2025 found 4757419 cycles, need 4640455
  129. Tue Jun 17 12:48:46 2025 weight of 4640455 cycles is about 464502878 (100.10/cycle)
  130. Tue Jun 17 12:48:46 2025 distribution of cycle lengths:
  131. Tue Jun 17 12:48:46 2025 1 relations: 138945
  132. Tue Jun 17 12:48:46 2025 2 relations: 306963
  133. Tue Jun 17 12:48:46 2025 3 relations: 400786
  134. Tue Jun 17 12:48:46 2025 4 relations: 438738
  135. Tue Jun 17 12:48:46 2025 5 relations: 461335
  136. Tue Jun 17 12:48:46 2025 6 relations: 457666
  137. Tue Jun 17 12:48:46 2025 7 relations: 434788
  138. Tue Jun 17 12:48:46 2025 8 relations: 396040
  139. Tue Jun 17 12:48:46 2025 9 relations: 347926
  140. Tue Jun 17 12:48:46 2025 10+ relations: 1257268
  141. Tue Jun 17 12:48:46 2025 heaviest cycle: 21 relations
  142. Tue Jun 17 12:48:51 2025 commencing cycle optimization
  143. Tue Jun 17 12:49:09 2025 start with 33733378 relations
  144. Tue Jun 17 12:51:03 2025 pruned 1387278 relations
  145. Tue Jun 17 12:51:03 2025 memory use: 960.0 MB
  146. Tue Jun 17 12:51:04 2025 distribution of cycle lengths:
  147. Tue Jun 17 12:51:04 2025 1 relations: 138945
  148. Tue Jun 17 12:51:04 2025 2 relations: 316182
  149. Tue Jun 17 12:51:04 2025 3 relations: 420278
  150. Tue Jun 17 12:51:04 2025 4 relations: 459434
  151. Tue Jun 17 12:51:04 2025 5 relations: 487665
  152. Tue Jun 17 12:51:04 2025 6 relations: 480973
  153. Tue Jun 17 12:51:04 2025 7 relations: 457395
  154. Tue Jun 17 12:51:04 2025 8 relations: 410768
  155. Tue Jun 17 12:51:04 2025 9 relations: 356397
  156. Tue Jun 17 12:51:04 2025 10+ relations: 1112418
  157. Tue Jun 17 12:51:04 2025 heaviest cycle: 20 relations
  158. Tue Jun 17 12:51:20 2025 RelProcTime: 3310
  159. Tue Jun 17 12:51:20 2025 elapsed time 00:55:11
  160. Tue Jun 17 13:11:47 2025
  161. Tue Jun 17 13:11:47 2025
  162. Tue Jun 17 13:11:47 2025 Msieve v. 1.54 (SVN 66ed352)
  163. Tue Jun 17 13:11:47 2025 random seeds: c25e1ed5 5166aacb
  164. Tue Jun 17 13:11:47 2025 MPI process 0 of 2
  165. Tue Jun 17 13:11:47 2025 Using 8 OpenMP threads
  166. Tue Jun 17 13:11:47 2025 factoring 5698706907093353663523921408180486575250278509249403975524636568700615392727768639340434879668071901910017621667685675429602326192726219964944324299916645336863 (160 digits)
  167. Tue Jun 17 13:11:47 2025 no P-1/P+1/ECM available, skipping
  168. Tue Jun 17 13:11:47 2025 commencing number field sieve (160-digit input)
  169. Tue Jun 17 13:11:47 2025 R0: -10819716173510423539166594995788
  170. Tue Jun 17 13:11:47 2025 R1: 145462981877651754989501
  171. Tue Jun 17 13:11:47 2025 A0: 2022767665131401723529441536458367245690
  172. Tue Jun 17 13:11:47 2025 A1: -818098515492723972695583270685047
  173. Tue Jun 17 13:11:47 2025 A2: -181096843615644899256700434
  174. Tue Jun 17 13:11:47 2025 A3: 68760544484151362717
  175. Tue Jun 17 13:11:47 2025 A4: 2390783296374
  176. Tue Jun 17 13:11:47 2025 A5: 32760
  177. Tue Jun 17 13:11:47 2025 skew 8432148.94, size 1.748e-15, alpha -8.182, combined = 1.568e-12 rroots = 3
  178. Tue Jun 17 13:11:47 2025
  179. Tue Jun 17 13:11:47 2025 commencing linear algebra
  180. Tue Jun 17 13:11:47 2025 using VBITS=256
  181. Tue Jun 17 13:11:47 2025 initialized process (0,0) of 1 x 2 grid
  182. Tue Jun 17 13:11:48 2025 read 4640455 cycles
  183. Tue Jun 17 13:12:02 2025 cycles contain 14361759 unique relations
  184. Tue Jun 17 13:12:56 2025 read 14361759 relations
  185. Tue Jun 17 13:13:02 2025 using 20 quadratic characters above 4294917295
  186. Tue Jun 17 13:13:08 2025 building initial matrix
  187. Tue Jun 17 13:17:08 2025 memory use: 1996.5 MB
  188. Tue Jun 17 13:17:14 2025 read 4640455 cycles
  189. Tue Jun 17 13:17:15 2025 matrix is 4640275 x 4640455 (1876.8 MB) with weight 585439480 (126.16/col)
  190. Tue Jun 17 13:17:15 2025 sparse part has weight 436318825 (94.03/col)
  191. Tue Jun 17 13:18:51 2025 filtering completed in 2 passes
  192. Tue Jun 17 13:18:52 2025 matrix is 4639845 x 4640025 (1876.8 MB) with weight 585417413 (126.17/col)
  193. Tue Jun 17 13:18:52 2025 sparse part has weight 436310336 (94.03/col)
  194. Tue Jun 17 13:19:18 2025 matrix starts at (0, 0)
  195. Tue Jun 17 13:19:18 2025 matrix is 4639845 x 2320026 (938.4 MB) with weight 292704907 (126.16/col)
  196. Tue Jun 17 13:19:18 2025 sparse part has weight 218155343 (94.03/col)
  197. Tue Jun 17 13:19:18 2025 saving the first 240 matrix rows for later
  198. Tue Jun 17 13:19:19 2025 matrix includes 256 packed rows
  199. Tue Jun 17 13:19:20 2025 matrix is 4639605 x 2320026 (848.2 MB) with weight 198239637 (85.45/col)
  200. Tue Jun 17 13:19:20 2025 sparse part has weight 185237608 (79.84/col)
  201. Tue Jun 17 13:19:20 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  202. Tue Jun 17 13:19:20 2025 selected card has CUDA arch 8.6
  203. Tue Jun 17 13:19:58 2025 commencing Lanczos iteration
  204. Tue Jun 17 13:19:58 2025 memory use: 2218.6 MB
  205. Tue Jun 17 13:20:05 2025 linear algebra at 0.7%, ETA 0h15m
  206. Tue Jun 17 13:20:16 2025 checking every 270000 dimensions, checkpointing every 16470000 dimensions
  207. Tue Jun 17 13:37:13 2025 lanczos halted after 18179 iterations (dim = 4639604)
  208. Tue Jun 17 13:37:59 2025 recovered 29 nontrivial dependencies
  209. Tue Jun 17 13:38:00 2025 BLanczosTime: 1573
  210. Tue Jun 17 13:38:00 2025 elapsed time 00:26:13
  211. Tue Jun 17 13:38:08 2025
  212. Tue Jun 17 13:38:08 2025
  213. Tue Jun 17 13:38:08 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  214. Tue Jun 17 13:38:08 2025 random seeds: e0367f01 52d47b8f
  215. Tue Jun 17 13:38:08 2025 Using 16 OpenMP threads
  216. Tue Jun 17 13:38:08 2025 factoring 5698706907093353663523921408180486575250278509249403975524636568700615392727768639340434879668071901910017621667685675429602326192726219964944324299916645336863 (160 digits)
  217. Tue Jun 17 13:38:08 2025 no P-1/P+1/ECM available, skipping
  218. Tue Jun 17 13:38:08 2025 commencing number field sieve (160-digit input)
  219. Tue Jun 17 13:38:08 2025 R0: -10819716173510423539166594995788
  220. Tue Jun 17 13:38:08 2025 R1: 145462981877651754989501
  221. Tue Jun 17 13:38:08 2025 A0: 2022767665131401723529441536458367245690
  222. Tue Jun 17 13:38:08 2025 A1: -818098515492723972695583270685047
  223. Tue Jun 17 13:38:08 2025 A2: -181096843615644899256700434
  224. Tue Jun 17 13:38:08 2025 A3: 68760544484151362717
  225. Tue Jun 17 13:38:08 2025 A4: 2390783296374
  226. Tue Jun 17 13:38:08 2025 A5: 32760
  227. Tue Jun 17 13:38:08 2025 skew 8432148.94, size 1.748e-15, alpha -8.182, combined = 1.568e-12 rroots = 3
  228. Tue Jun 17 13:38:08 2025
  229. Tue Jun 17 13:38:08 2025 commencing square root phase
  230. Tue Jun 17 13:38:08 2025 reading relations for dependency 1
  231. Tue Jun 17 13:38:09 2025 read 2321528 cycles
  232. Tue Jun 17 13:38:16 2025 cycles contain 7181182 unique relations
  233. Tue Jun 17 13:38:43 2025 read 7181182 relations
  234. Tue Jun 17 13:39:34 2025 multiplying 7181182 relations
  235. Tue Jun 17 13:40:44 2025 multiply complete, coefficients have about 378.05 million bits
  236. Tue Jun 17 13:40:46 2025 initial square root is modulo 6074591
  237. Tue Jun 17 13:44:01 2025 GCD is N, no factor found
  238. Tue Jun 17 13:44:01 2025 reading relations for dependency 2
  239. Tue Jun 17 13:44:02 2025 read 2322619 cycles
  240. Tue Jun 17 13:44:09 2025 cycles contain 7184912 unique relations
  241. Tue Jun 17 13:44:36 2025 read 7184912 relations
  242. Tue Jun 17 13:45:27 2025 multiplying 7184912 relations
  243. Tue Jun 17 13:46:35 2025 multiply complete, coefficients have about 378.26 million bits
  244. Tue Jun 17 13:46:37 2025 initial square root is modulo 6126139
  245. Tue Jun 17 13:49:54 2025 GCD is N, no factor found
  246. Tue Jun 17 13:49:54 2025 reading relations for dependency 3
  247. Tue Jun 17 13:49:54 2025 read 2319625 cycles
  248. Tue Jun 17 13:50:01 2025 cycles contain 7178488 unique relations
  249. Tue Jun 17 13:50:28 2025 read 7178488 relations
  250. Tue Jun 17 13:51:20 2025 multiplying 7178488 relations
  251. Tue Jun 17 13:52:28 2025 multiply complete, coefficients have about 377.91 million bits
  252. Tue Jun 17 13:52:30 2025 initial square root is modulo 6039907
  253. Tue Jun 17 13:55:45 2025 sqrtTime: 1057
  254. Tue Jun 17 13:55:45 2025 p56 factor: 35585966705260317626474872297366192080063212363932478899
  255. Tue Jun 17 13:55:45 2025 p105 factor: 160139162560700389910074979084604963637727255220441549442806881745260469812999008520866755825501091742437
  256. Tue Jun 17 13:55:45 2025 elapsed time 00:17:37
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