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  1. Wed Apr 30 13:49:57 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Wed Apr 30 13:49:57 2025 random seeds: 2f92637e e87946ba
  3. Wed Apr 30 13:49:57 2025 Using 16 OpenMP threads
  4. Wed Apr 30 13:49:57 2025 factoring 1017426109549235226072114746990972254908310830062712797143416800360654423862234734051027135855483361977461225827309461172772532040666062275420304691091835289381981617227 (169 digits)
  5. Wed Apr 30 13:49:57 2025 no P-1/P+1/ECM available, skipping
  6. Wed Apr 30 13:49:57 2025 commencing number field sieve (169-digit input)
  7. Wed Apr 30 13:49:57 2025 R0: 483125296736154523796073899320175
  8. Wed Apr 30 13:49:57 2025 R1: 19889395983894356479993663
  9. Wed Apr 30 13:49:57 2025 A0: -47326770774945843594058478961797430179880
  10. Wed Apr 30 13:49:57 2025 A1: 10484816898862825207887826161930318
  11. Wed Apr 30 13:49:57 2025 A2: 623921466330955273198432095
  12. Wed Apr 30 13:49:57 2025 A3: -233730214071371536007
  13. Wed Apr 30 13:49:57 2025 A4: -2056827517895
  14. Wed Apr 30 13:49:57 2025 A5: 126000
  15. Wed Apr 30 13:49:57 2025 skew 15645873.17, size 2.516e-16, alpha -7.769, combined = 5.081e-13 rroots = 3
  16. Wed Apr 30 13:49:57 2025
  17. Wed Apr 30 13:49:57 2025 commencing relation filtering
  18. Wed Apr 30 13:49:57 2025 setting target matrix density to 110.0
  19. Wed Apr 30 13:49:57 2025 estimated available RAM is 128734.6 MB
  20. Wed Apr 30 13:49:57 2025 commencing duplicate removal, pass 1
  21. Wed Apr 30 13:52:48 2025 error -1 reading relation 180511336
  22. Wed Apr 30 13:52:55 2025 skipped 1 relations with composite factors
  23. Wed Apr 30 13:52:55 2025 skipped 4 malformed relations
  24. Wed Apr 30 13:52:55 2025 found 8543479 hash collisions in 197413680 relations
  25. Wed Apr 30 13:53:08 2025 added 121566 free relations
  26. Wed Apr 30 13:53:08 2025 commencing duplicate removal, pass 2
  27. Wed Apr 30 13:53:43 2025 found 0 duplicates and 197535246 unique relations
  28. Wed Apr 30 13:53:43 2025 memory use: 554.4 MB
  29. Wed Apr 30 13:53:43 2025 reading ideals above 720000
  30. Wed Apr 30 13:53:43 2025 commencing singleton removal, initial pass
  31. Wed Apr 30 13:58:42 2025 memory use: 5512.0 MB
  32. Wed Apr 30 13:58:42 2025 reading all ideals from disk
  33. Wed Apr 30 13:58:44 2025 memory use: 9114.4 MB
  34. Wed Apr 30 13:58:51 2025 keeping 166600593 ideals with weight <= 200, target excess is 981619
  35. Wed Apr 30 13:59:02 2025 commencing in-memory singleton removal
  36. Wed Apr 30 13:59:05 2025 begin with 197535246 relations and 166600593 unique ideals
  37. Wed Apr 30 13:59:24 2025 reduce to 154788146 relations and 121961655 ideals in 13 passes
  38. Wed Apr 30 13:59:24 2025 max relations containing the same ideal: 181
  39. Wed Apr 30 13:59:52 2025 removing 11083264 relations and 9083264 ideals in 2000000 cliques
  40. Wed Apr 30 13:59:54 2025 commencing in-memory singleton removal
  41. Wed Apr 30 13:59:57 2025 begin with 143704882 relations and 121961655 unique ideals
  42. Wed Apr 30 14:00:06 2025 reduce to 143122510 relations and 112286427 ideals in 7 passes
  43. Wed Apr 30 14:00:06 2025 max relations containing the same ideal: 172
  44. Wed Apr 30 14:00:31 2025 removing 8464695 relations and 6464695 ideals in 2000000 cliques
  45. Wed Apr 30 14:00:34 2025 commencing in-memory singleton removal
  46. Wed Apr 30 14:00:36 2025 begin with 134657815 relations and 112286427 unique ideals
  47. Wed Apr 30 14:00:44 2025 reduce to 134263800 relations and 105421967 ideals in 7 passes
  48. Wed Apr 30 14:00:44 2025 max relations containing the same ideal: 167
  49. Wed Apr 30 14:01:08 2025 removing 7686003 relations and 5686003 ideals in 2000000 cliques
  50. Wed Apr 30 14:01:10 2025 commencing in-memory singleton removal
  51. Wed Apr 30 14:01:13 2025 begin with 126577797 relations and 105421967 unique ideals
  52. Wed Apr 30 14:01:20 2025 reduce to 126227962 relations and 99381172 ideals in 7 passes
  53. Wed Apr 30 14:01:20 2025 max relations containing the same ideal: 160
  54. Wed Apr 30 14:01:43 2025 removing 7283794 relations and 5283794 ideals in 2000000 cliques
  55. Wed Apr 30 14:01:45 2025 commencing in-memory singleton removal
  56. Wed Apr 30 14:01:47 2025 begin with 118944168 relations and 99381172 unique ideals
  57. Wed Apr 30 14:01:54 2025 reduce to 118613472 relations and 93761813 ideals in 7 passes
  58. Wed Apr 30 14:01:54 2025 max relations containing the same ideal: 152
  59. Wed Apr 30 14:02:15 2025 removing 7035149 relations and 5035149 ideals in 2000000 cliques
  60. Wed Apr 30 14:02:17 2025 commencing in-memory singleton removal
  61. Wed Apr 30 14:02:19 2025 begin with 111578323 relations and 93761813 unique ideals
  62. Wed Apr 30 14:02:26 2025 reduce to 111254142 relations and 88397503 ideals in 7 passes
  63. Wed Apr 30 14:02:26 2025 max relations containing the same ideal: 147
  64. Wed Apr 30 14:02:46 2025 removing 6864995 relations and 4864995 ideals in 2000000 cliques
  65. Wed Apr 30 14:02:48 2025 commencing in-memory singleton removal
  66. Wed Apr 30 14:02:50 2025 begin with 104389147 relations and 88397503 unique ideals
  67. Wed Apr 30 14:02:56 2025 reduce to 104064428 relations and 83202411 ideals in 7 passes
  68. Wed Apr 30 14:02:56 2025 max relations containing the same ideal: 142
  69. Wed Apr 30 14:03:15 2025 removing 6755641 relations and 4755641 ideals in 2000000 cliques
  70. Wed Apr 30 14:03:17 2025 commencing in-memory singleton removal
  71. Wed Apr 30 14:03:18 2025 begin with 97308787 relations and 83202411 unique ideals
  72. Wed Apr 30 14:03:24 2025 reduce to 96976030 relations and 78108125 ideals in 7 passes
  73. Wed Apr 30 14:03:24 2025 max relations containing the same ideal: 137
  74. Wed Apr 30 14:03:42 2025 removing 6679395 relations and 4679395 ideals in 2000000 cliques
  75. Wed Apr 30 14:03:44 2025 commencing in-memory singleton removal
  76. Wed Apr 30 14:03:45 2025 begin with 90296635 relations and 78108125 unique ideals
  77. Wed Apr 30 14:03:50 2025 reduce to 89951978 relations and 73077659 ideals in 7 passes
  78. Wed Apr 30 14:03:50 2025 max relations containing the same ideal: 132
  79. Wed Apr 30 14:04:07 2025 removing 6632809 relations and 4632809 ideals in 2000000 cliques
  80. Wed Apr 30 14:04:09 2025 commencing in-memory singleton removal
  81. Wed Apr 30 14:04:11 2025 begin with 83319169 relations and 73077659 unique ideals
  82. Wed Apr 30 14:04:15 2025 reduce to 82957006 relations and 68075347 ideals in 7 passes
  83. Wed Apr 30 14:04:15 2025 max relations containing the same ideal: 125
  84. Wed Apr 30 14:04:31 2025 removing 6613818 relations and 4613818 ideals in 2000000 cliques
  85. Wed Apr 30 14:04:33 2025 commencing in-memory singleton removal
  86. Wed Apr 30 14:04:34 2025 begin with 76343188 relations and 68075347 unique ideals
  87. Wed Apr 30 14:04:38 2025 reduce to 75954795 relations and 63064700 ideals in 7 passes
  88. Wed Apr 30 14:04:38 2025 max relations containing the same ideal: 117
  89. Wed Apr 30 14:04:53 2025 removing 6617114 relations and 4617114 ideals in 2000000 cliques
  90. Wed Apr 30 14:04:55 2025 commencing in-memory singleton removal
  91. Wed Apr 30 14:04:56 2025 begin with 69337681 relations and 63064700 unique ideals
  92. Wed Apr 30 14:05:00 2025 reduce to 68912924 relations and 58012914 ideals in 7 passes
  93. Wed Apr 30 14:05:00 2025 max relations containing the same ideal: 108
  94. Wed Apr 30 14:05:13 2025 removing 6643694 relations and 4643694 ideals in 2000000 cliques
  95. Wed Apr 30 14:05:15 2025 commencing in-memory singleton removal
  96. Wed Apr 30 14:05:16 2025 begin with 62269230 relations and 58012914 unique ideals
  97. Wed Apr 30 14:05:19 2025 reduce to 61801267 relations and 52889451 ideals in 8 passes
  98. Wed Apr 30 14:05:19 2025 max relations containing the same ideal: 100
  99. Wed Apr 30 14:05:32 2025 removing 6699233 relations and 4699233 ideals in 2000000 cliques
  100. Wed Apr 30 14:05:34 2025 commencing in-memory singleton removal
  101. Wed Apr 30 14:05:34 2025 begin with 55102034 relations and 52889451 unique ideals
  102. Wed Apr 30 14:05:38 2025 reduce to 54572635 relations and 47645909 ideals in 8 passes
  103. Wed Apr 30 14:05:38 2025 max relations containing the same ideal: 91
  104. Wed Apr 30 14:05:49 2025 removing 6778522 relations and 4778522 ideals in 2000000 cliques
  105. Wed Apr 30 14:05:50 2025 commencing in-memory singleton removal
  106. Wed Apr 30 14:05:51 2025 begin with 47794113 relations and 47645909 unique ideals
  107. Wed Apr 30 14:05:54 2025 reduce to 47174040 relations and 42227913 ideals in 8 passes
  108. Wed Apr 30 14:05:54 2025 max relations containing the same ideal: 82
  109. Wed Apr 30 14:06:04 2025 removing 6892677 relations and 4892677 ideals in 2000000 cliques
  110. Wed Apr 30 14:06:05 2025 commencing in-memory singleton removal
  111. Wed Apr 30 14:06:06 2025 begin with 40281363 relations and 42227913 unique ideals
  112. Wed Apr 30 14:06:08 2025 reduce to 39531759 relations and 36558648 ideals in 8 passes
  113. Wed Apr 30 14:06:08 2025 max relations containing the same ideal: 73
  114. Wed Apr 30 14:06:16 2025 removing 6578209 relations and 4743777 ideals in 1834432 cliques
  115. Wed Apr 30 14:06:18 2025 commencing in-memory singleton removal
  116. Wed Apr 30 14:06:18 2025 begin with 32953550 relations and 36558648 unique ideals
  117. Wed Apr 30 14:06:20 2025 reduce to 32130382 relations and 30958769 ideals in 8 passes
  118. Wed Apr 30 14:06:20 2025 max relations containing the same ideal: 65
  119. Wed Apr 30 14:06:27 2025 removing 255766 relations and 222832 ideals in 32934 cliques
  120. Wed Apr 30 14:06:28 2025 commencing in-memory singleton removal
  121. Wed Apr 30 14:06:28 2025 begin with 31874616 relations and 30958769 unique ideals
  122. Wed Apr 30 14:06:29 2025 reduce to 31873423 relations and 30734743 ideals in 6 passes
  123. Wed Apr 30 14:06:29 2025 max relations containing the same ideal: 64
  124. Wed Apr 30 14:06:32 2025 relations with 0 large ideals: 3665
  125. Wed Apr 30 14:06:32 2025 relations with 1 large ideals: 29137
  126. Wed Apr 30 14:06:32 2025 relations with 2 large ideals: 379337
  127. Wed Apr 30 14:06:32 2025 relations with 3 large ideals: 1987608
  128. Wed Apr 30 14:06:32 2025 relations with 4 large ideals: 5443124
  129. Wed Apr 30 14:06:32 2025 relations with 5 large ideals: 8632069
  130. Wed Apr 30 14:06:32 2025 relations with 6 large ideals: 8347977
  131. Wed Apr 30 14:06:32 2025 relations with 7+ large ideals: 7050506
  132. Wed Apr 30 14:06:32 2025 commencing 2-way merge
  133. Wed Apr 30 14:06:41 2025 reduce to 19510322 relation sets and 18371641 unique ideals
  134. Wed Apr 30 14:06:41 2025 commencing full merge
  135. Wed Apr 30 14:10:01 2025 memory use: 2258.2 MB
  136. Wed Apr 30 14:10:02 2025 found 9029933 cycles, need 8909841
  137. Wed Apr 30 14:10:04 2025 weight of 8909841 cycles is about 980564977 (110.05/cycle)
  138. Wed Apr 30 14:10:04 2025 distribution of cycle lengths:
  139. Wed Apr 30 14:10:04 2025 1 relations: 520859
  140. Wed Apr 30 14:10:04 2025 2 relations: 639594
  141. Wed Apr 30 14:10:04 2025 3 relations: 694193
  142. Wed Apr 30 14:10:04 2025 4 relations: 697770
  143. Wed Apr 30 14:10:04 2025 5 relations: 704766
  144. Wed Apr 30 14:10:04 2025 6 relations: 695478
  145. Wed Apr 30 14:10:04 2025 7 relations: 670525
  146. Wed Apr 30 14:10:04 2025 8 relations: 636436
  147. Wed Apr 30 14:10:04 2025 9 relations: 585242
  148. Wed Apr 30 14:10:04 2025 10+ relations: 3064978
  149. Wed Apr 30 14:10:04 2025 heaviest cycle: 25 relations
  150. Wed Apr 30 14:10:06 2025 commencing cycle optimization
  151. Wed Apr 30 14:10:16 2025 start with 71429166 relations
  152. Wed Apr 30 14:11:31 2025 pruned 2760945 relations
  153. Wed Apr 30 14:11:31 2025 memory use: 2035.9 MB
  154. Wed Apr 30 14:11:31 2025 distribution of cycle lengths:
  155. Wed Apr 30 14:11:31 2025 1 relations: 520859
  156. Wed Apr 30 14:11:31 2025 2 relations: 655567
  157. Wed Apr 30 14:11:31 2025 3 relations: 722304
  158. Wed Apr 30 14:11:31 2025 4 relations: 723640
  159. Wed Apr 30 14:11:31 2025 5 relations: 736273
  160. Wed Apr 30 14:11:31 2025 6 relations: 724850
  161. Wed Apr 30 14:11:31 2025 7 relations: 700519
  162. Wed Apr 30 14:11:31 2025 8 relations: 660000
  163. Wed Apr 30 14:11:31 2025 9 relations: 605563
  164. Wed Apr 30 14:11:31 2025 10+ relations: 2860266
  165. Wed Apr 30 14:11:31 2025 heaviest cycle: 25 relations
  166. Wed Apr 30 14:11:40 2025 RelProcTime: 1303
  167. Wed Apr 30 14:11:40 2025 elapsed time 00:21:43
  168. Wed Apr 30 14:14:32 2025
  169. Wed Apr 30 14:14:32 2025
  170. Wed Apr 30 14:14:32 2025 Msieve v. 1.54 (SVN 66ed352)
  171. Wed Apr 30 14:14:32 2025 random seeds: 7e044050 aaf85c75
  172. Wed Apr 30 14:14:32 2025 MPI process 0 of 2
  173. Wed Apr 30 14:14:32 2025 Using 8 OpenMP threads
  174. Wed Apr 30 14:14:32 2025 factoring 1017426109549235226072114746990972254908310830062712797143416800360654423862234734051027135855483361977461225827309461172772532040666062275420304691091835289381981617227 (169 digits)
  175. Wed Apr 30 14:14:33 2025 no P-1/P+1/ECM available, skipping
  176. Wed Apr 30 14:14:33 2025 commencing number field sieve (169-digit input)
  177. Wed Apr 30 14:14:33 2025 R0: 483125296736154523796073899320175
  178. Wed Apr 30 14:14:33 2025 R1: 19889395983894356479993663
  179. Wed Apr 30 14:14:33 2025 A0: -47326770774945843594058478961797430179880
  180. Wed Apr 30 14:14:33 2025 A1: 10484816898862825207887826161930318
  181. Wed Apr 30 14:14:33 2025 A2: 623921466330955273198432095
  182. Wed Apr 30 14:14:33 2025 A3: -233730214071371536007
  183. Wed Apr 30 14:14:33 2025 A4: -2056827517895
  184. Wed Apr 30 14:14:33 2025 A5: 126000
  185. Wed Apr 30 14:14:33 2025 skew 15645873.17, size 2.516e-16, alpha -7.769, combined = 5.081e-13 rroots = 3
  186. Wed Apr 30 14:14:33 2025
  187. Wed Apr 30 14:14:33 2025 commencing linear algebra
  188. Wed Apr 30 14:14:33 2025 using VBITS=256
  189. Wed Apr 30 14:14:33 2025 initialized process (0,0) of 1 x 2 grid
  190. Wed Apr 30 14:14:33 2025 read 8909841 cycles
  191. Wed Apr 30 14:14:44 2025 cycles contain 31160024 unique relations
  192. Wed Apr 30 14:15:02 2025 read 31160024 relations
  193. Wed Apr 30 14:15:08 2025 using 20 quadratic characters above 4294917295
  194. Wed Apr 30 14:15:21 2025 building initial matrix
  195. Wed Apr 30 14:20:15 2025 memory use: 4200.5 MB
  196. Wed Apr 30 14:20:21 2025 read 8909841 cycles
  197. Wed Apr 30 14:20:22 2025 matrix is 8909663 x 8909841 (3928.7 MB) with weight 1221528513 (137.10/col)
  198. Wed Apr 30 14:20:22 2025 sparse part has weight 922956536 (103.59/col)
  199. Wed Apr 30 14:21:50 2025 filtering completed in 2 passes
  200. Wed Apr 30 14:21:51 2025 matrix is 8908443 x 8908621 (3928.5 MB) with weight 1221462294 (137.11/col)
  201. Wed Apr 30 14:21:51 2025 sparse part has weight 922933249 (103.60/col)
  202. Wed Apr 30 14:22:14 2025 matrix starts at (0, 0)
  203. Wed Apr 30 14:22:15 2025 matrix is 8908443 x 4454346 (1964.3 MB) with weight 610737286 (137.11/col)
  204. Wed Apr 30 14:22:15 2025 sparse part has weight 461466758 (103.60/col)
  205. Wed Apr 30 14:22:15 2025 saving the first 240 matrix rows for later
  206. Wed Apr 30 14:22:15 2025 matrix includes 256 packed rows
  207. Wed Apr 30 14:22:18 2025 matrix is 8908203 x 4454346 (1772.7 MB) with weight 420820399 (94.47/col)
  208. Wed Apr 30 14:22:18 2025 sparse part has weight 393443994 (88.33/col)
  209. Wed Apr 30 14:22:18 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  210. Wed Apr 30 14:22:18 2025 selected card has CUDA arch 8.6
  211. Wed Apr 30 14:22:43 2025 commencing Lanczos iteration
  212. Wed Apr 30 14:22:44 2025 memory use: 4548.0 MB
  213. Wed Apr 30 14:23:00 2025 linear algebra at 0.3%, ETA 1h12m
  214. Wed Apr 30 14:23:20 2025 checking every 130000 dimensions, checkpointing every 7930000 dimensions
  215. Wed Apr 30 15:29:58 2025 lanczos halted after 34904 iterations (dim = 8908203)
  216. Wed Apr 30 15:30:28 2025 recovered 31 nontrivial dependencies
  217. Wed Apr 30 15:30:29 2025 BLanczosTime: 4556
  218. Wed Apr 30 15:30:29 2025 elapsed time 01:15:57
  219. Wed Apr 30 15:42:13 2025
  220. Wed Apr 30 15:42:13 2025
  221. Wed Apr 30 15:42:13 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  222. Wed Apr 30 15:42:13 2025 random seeds: eb34b41d e580dec8
  223. Wed Apr 30 15:42:13 2025 Using 16 OpenMP threads
  224. Wed Apr 30 15:42:13 2025 factoring 1017426109549235226072114746990972254908310830062712797143416800360654423862234734051027135855483361977461225827309461172772532040666062275420304691091835289381981617227 (169 digits)
  225. Wed Apr 30 15:42:14 2025 no P-1/P+1/ECM available, skipping
  226. Wed Apr 30 15:42:14 2025 commencing number field sieve (169-digit input)
  227. Wed Apr 30 15:42:14 2025 R0: 483125296736154523796073899320175
  228. Wed Apr 30 15:42:14 2025 R1: 19889395983894356479993663
  229. Wed Apr 30 15:42:14 2025 A0: -47326770774945843594058478961797430179880
  230. Wed Apr 30 15:42:14 2025 A1: 10484816898862825207887826161930318
  231. Wed Apr 30 15:42:14 2025 A2: 623921466330955273198432095
  232. Wed Apr 30 15:42:14 2025 A3: -233730214071371536007
  233. Wed Apr 30 15:42:14 2025 A4: -2056827517895
  234. Wed Apr 30 15:42:14 2025 A5: 126000
  235. Wed Apr 30 15:42:14 2025 skew 15645873.17, size 2.516e-16, alpha -7.769, combined = 5.081e-13 rroots = 3
  236. Wed Apr 30 15:42:14 2025
  237. Wed Apr 30 15:42:14 2025 commencing square root phase
  238. Wed Apr 30 15:42:14 2025 reading relations for dependency 1
  239. Wed Apr 30 15:42:15 2025 read 4454777 cycles
  240. Wed Apr 30 15:42:22 2025 cycles contain 15580750 unique relations
  241. Wed Apr 30 15:42:49 2025 read 15580750 relations
  242. Wed Apr 30 15:43:43 2025 multiplying 15580750 relations
  243. Wed Apr 30 15:45:43 2025 multiply complete, coefficients have about 846.90 million bits
  244. Wed Apr 30 15:45:46 2025 initial square root is modulo 39626621
  245. Wed Apr 30 15:50:18 2025 sqrtTime: 484
  246. Wed Apr 30 15:50:18 2025 p57 factor: 563245118671849189510583704641910697194267930134148916381
  247. Wed Apr 30 15:50:18 2025 p112 factor: 1806364717280391154330021685280037509525761599101172833831981471410260397180705117708609523979550989455645813767
  248. Wed Apr 30 15:50:18 2025 elapsed time 00:08:05
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