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Jul 8th, 2024
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  1. Mon Jul 8 14:14:58 2024
  2. Mon Jul 8 14:14:58 2024
  3. Mon Jul 8 14:14:58 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jul 8 14:14:58 2024 random seeds: 845e133a b3ac9665
  5. Mon Jul 8 14:14:58 2024 MPI process 0 of 1
  6. Mon Jul 8 14:14:58 2024 Using 32 OpenMP threads
  7. Mon Jul 8 14:14:58 2024 factoring 598908103010363671964381546045461091168444400771070134851001639884852775689900989161904467461206290373361368077867205205948703075238964983297747730656180084754223231681813491 (174 digits)
  8. Mon Jul 8 14:14:58 2024 searching for 15-digit factors
  9. Mon Jul 8 14:14:59 2024 commencing number field sieve (174-digit input)
  10. Mon Jul 8 14:14:59 2024 R0: -7564509678903813449110349623295743
  11. Mon Jul 8 14:14:59 2024 R1: 3612310005333429113
  12. Mon Jul 8 14:14:59 2024 A0: -432838611538297650241597160453606488295184
  13. Mon Jul 8 14:14:59 2024 A1: 1159321535043651180213221483470238428
  14. Mon Jul 8 14:14:59 2024 A2: 16894845367637038161275949508
  15. Mon Jul 8 14:14:59 2024 A3: -1547359793617102712862
  16. Mon Jul 8 14:14:59 2024 A4: -2572095972743
  17. Mon Jul 8 14:14:59 2024 A5: 24180
  18. Mon Jul 8 14:14:59 2024 skew 76440911.85, size 5.592e-17, alpha -7.380, combined = 2.014e-13 rroots = 5
  19. Mon Jul 8 14:14:59 2024
  20. Mon Jul 8 14:14:59 2024 commencing relation filtering
  21. Mon Jul 8 14:14:59 2024 setting target matrix density to 130.0
  22. Mon Jul 8 14:14:59 2024 estimated available RAM is 257736.5 MB
  23. Mon Jul 8 14:14:59 2024 commencing duplicate removal, pass 1
  24. Mon Jul 8 14:15:01 2024 error -1 reading relation 1268555
  25. Mon Jul 8 14:15:02 2024 error -1 reading relation 1737184
  26. Mon Jul 8 14:15:06 2024 error -1 reading relation 4651739
  27. Mon Jul 8 14:15:29 2024 error -1 reading relation 20391392
  28. Mon Jul 8 14:15:29 2024 error -1 reading relation 20404468
  29. Mon Jul 8 14:15:34 2024 error -1 reading relation 23557793
  30. Mon Jul 8 14:15:40 2024 error -1 reading relation 27685328
  31. Mon Jul 8 14:16:19 2024 error -1 reading relation 53660621
  32. Mon Jul 8 14:16:29 2024 error -1 reading relation 60331434
  33. Mon Jul 8 14:16:32 2024 error -1 reading relation 62181794
  34. Mon Jul 8 14:16:32 2024 error -1 reading relation 62240291
  35. Mon Jul 8 14:16:32 2024 error -1 reading relation 62440770
  36. Mon Jul 8 14:16:33 2024 error -1 reading relation 62613859
  37. Mon Jul 8 14:16:37 2024 error -5 reading relation 65267311
  38. Mon Jul 8 14:17:03 2024 error -1 reading relation 82762923
  39. Mon Jul 8 14:17:04 2024 error -1 reading relation 83021579
  40. Mon Jul 8 14:17:06 2024 error -1 reading relation 84587688
  41. Mon Jul 8 14:17:21 2024 error -1 reading relation 94581181
  42. Mon Jul 8 14:17:26 2024 error -1 reading relation 97438562
  43. Mon Jul 8 14:17:35 2024 error -1 reading relation 103573005
  44. Mon Jul 8 14:17:41 2024 error -1 reading relation 107868236
  45. Mon Jul 8 14:18:04 2024 error -1 reading relation 122195347
  46. Mon Jul 8 14:18:17 2024 error -1 reading relation 129036652
  47. Mon Jul 8 14:18:18 2024 error -1 reading relation 129916441
  48. Mon Jul 8 14:18:28 2024 error -1 reading relation 134408644
  49. Mon Jul 8 14:18:31 2024 error -1 reading relation 135775492
  50. Mon Jul 8 14:18:37 2024 error -1 reading relation 138921279
  51. Mon Jul 8 14:18:42 2024 error -1 reading relation 141187883
  52. Mon Jul 8 14:18:45 2024 error -1 reading relation 142343694
  53. Mon Jul 8 14:18:52 2024 error -1 reading relation 145891732
  54. Mon Jul 8 14:18:56 2024 error -15 reading relation 147772868
  55. Mon Jul 8 14:19:05 2024 error -1 reading relation 152295207
  56. Mon Jul 8 14:19:18 2024 error -1 reading relation 158334394
  57. Mon Jul 8 14:19:23 2024 error -1 reading relation 160457660
  58. Mon Jul 8 14:19:24 2024 error -1 reading relation 161119898
  59. Mon Jul 8 14:19:25 2024 error -1 reading relation 161820583
  60. Mon Jul 8 14:19:30 2024 skipped 235 malformed relations
  61. Mon Jul 8 14:19:30 2024 found 43088998 hash collisions in 163702413 relations
  62. Mon Jul 8 14:19:52 2024 added 121778 free relations
  63. Mon Jul 8 14:19:52 2024 commencing duplicate removal, pass 2
  64. Mon Jul 8 14:23:08 2024 found 50555604 duplicates and 113268587 unique relations
  65. Mon Jul 8 14:23:08 2024 memory use: 1321.5 MB
  66. Mon Jul 8 14:23:08 2024 reading ideals above 720000
  67. Mon Jul 8 14:23:08 2024 commencing singleton removal, initial pass
  68. Mon Jul 8 14:31:33 2024 memory use: 2756.0 MB
  69. Mon Jul 8 14:31:33 2024 reading all ideals from disk
  70. Mon Jul 8 14:31:35 2024 memory use: 5375.9 MB
  71. Mon Jul 8 14:31:48 2024 keeping 96593685 ideals with weight <= 200, target excess is 611570
  72. Mon Jul 8 14:32:03 2024 commencing in-memory singleton removal
  73. Mon Jul 8 14:32:05 2024 begin with 113268587 relations and 96593685 unique ideals
  74. Mon Jul 8 14:32:14 2024 reduce to 87513263 relations and 69077378 ideals in 11 passes
  75. Mon Jul 8 14:32:14 2024 max relations containing the same ideal: 180
  76. Mon Jul 8 14:32:57 2024 removing 7915703 relations and 5915703 ideals in 2000000 cliques
  77. Mon Jul 8 14:33:02 2024 commencing in-memory singleton removal
  78. Mon Jul 8 14:33:06 2024 begin with 79597560 relations and 69077378 unique ideals
  79. Mon Jul 8 14:33:13 2024 reduce to 78985280 relations and 62531854 ideals in 7 passes
  80. Mon Jul 8 14:33:13 2024 max relations containing the same ideal: 168
  81. Mon Jul 8 14:33:39 2024 removing 6392757 relations and 4392757 ideals in 2000000 cliques
  82. Mon Jul 8 14:33:42 2024 commencing in-memory singleton removal
  83. Mon Jul 8 14:33:44 2024 begin with 72592523 relations and 62531854 unique ideals
  84. Mon Jul 8 14:33:49 2024 reduce to 72158861 relations and 57694519 ideals in 7 passes
  85. Mon Jul 8 14:33:49 2024 max relations containing the same ideal: 157
  86. Mon Jul 8 14:34:24 2024 removing 6001309 relations and 4001309 ideals in 2000000 cliques
  87. Mon Jul 8 14:34:29 2024 commencing in-memory singleton removal
  88. Mon Jul 8 14:34:31 2024 begin with 66157552 relations and 57694519 unique ideals
  89. Mon Jul 8 14:34:36 2024 reduce to 65758948 relations and 53284504 ideals in 8 passes
  90. Mon Jul 8 14:34:36 2024 max relations containing the same ideal: 148
  91. Mon Jul 8 14:34:59 2024 removing 5836024 relations and 3836024 ideals in 2000000 cliques
  92. Mon Jul 8 14:35:01 2024 commencing in-memory singleton removal
  93. Mon Jul 8 14:35:03 2024 begin with 59922924 relations and 53284504 unique ideals
  94. Mon Jul 8 14:35:07 2024 reduce to 59526347 relations and 49041140 ideals in 7 passes
  95. Mon Jul 8 14:35:07 2024 max relations containing the same ideal: 141
  96. Mon Jul 8 14:35:40 2024 removing 5756126 relations and 3756126 ideals in 2000000 cliques
  97. Mon Jul 8 14:35:44 2024 commencing in-memory singleton removal
  98. Mon Jul 8 14:35:46 2024 begin with 53770221 relations and 49041140 unique ideals
  99. Mon Jul 8 14:35:51 2024 reduce to 53354929 relations and 44857459 ideals in 7 passes
  100. Mon Jul 8 14:35:51 2024 max relations containing the same ideal: 128
  101. Mon Jul 8 14:36:10 2024 removing 5735766 relations and 3735766 ideals in 2000000 cliques
  102. Mon Jul 8 14:36:12 2024 commencing in-memory singleton removal
  103. Mon Jul 8 14:36:12 2024 begin with 47619163 relations and 44857459 unique ideals
  104. Mon Jul 8 14:36:14 2024 reduce to 47165934 relations and 40653910 ideals in 6 passes
  105. Mon Jul 8 14:36:14 2024 max relations containing the same ideal: 118
  106. Mon Jul 8 14:36:46 2024 removing 5760526 relations and 3760526 ideals in 2000000 cliques
  107. Mon Jul 8 14:36:49 2024 commencing in-memory singleton removal
  108. Mon Jul 8 14:36:49 2024 begin with 41405408 relations and 40653910 unique ideals
  109. Mon Jul 8 14:36:51 2024 reduce to 40887253 relations and 36356491 ideals in 7 passes
  110. Mon Jul 8 14:36:51 2024 max relations containing the same ideal: 109
  111. Mon Jul 8 14:37:05 2024 removing 5826535 relations and 3826535 ideals in 2000000 cliques
  112. Mon Jul 8 14:37:07 2024 commencing in-memory singleton removal
  113. Mon Jul 8 14:37:07 2024 begin with 35060718 relations and 36356491 unique ideals
  114. Mon Jul 8 14:37:09 2024 reduce to 34445826 relations and 31889950 ideals in 8 passes
  115. Mon Jul 8 14:37:09 2024 max relations containing the same ideal: 101
  116. Mon Jul 8 14:37:28 2024 removing 5566084 relations and 3719630 ideals in 1846454 cliques
  117. Mon Jul 8 14:37:31 2024 commencing in-memory singleton removal
  118. Mon Jul 8 14:37:32 2024 begin with 28879742 relations and 31889950 unique ideals
  119. Mon Jul 8 14:37:34 2024 reduce to 28195632 relations and 27454962 ideals in 8 passes
  120. Mon Jul 8 14:37:34 2024 max relations containing the same ideal: 84
  121. Mon Jul 8 14:37:45 2024 removing 200606 relations and 169358 ideals in 31248 cliques
  122. Mon Jul 8 14:37:46 2024 commencing in-memory singleton removal
  123. Mon Jul 8 14:37:46 2024 begin with 27995026 relations and 27454962 unique ideals
  124. Mon Jul 8 14:37:47 2024 reduce to 27994004 relations and 27284579 ideals in 5 passes
  125. Mon Jul 8 14:37:47 2024 max relations containing the same ideal: 82
  126. Mon Jul 8 14:37:51 2024 relations with 0 large ideals: 2044
  127. Mon Jul 8 14:37:51 2024 relations with 1 large ideals: 6788
  128. Mon Jul 8 14:37:51 2024 relations with 2 large ideals: 101229
  129. Mon Jul 8 14:37:51 2024 relations with 3 large ideals: 680751
  130. Mon Jul 8 14:37:51 2024 relations with 4 large ideals: 2476488
  131. Mon Jul 8 14:37:51 2024 relations with 5 large ideals: 5424448
  132. Mon Jul 8 14:37:51 2024 relations with 6 large ideals: 7510994
  133. Mon Jul 8 14:37:51 2024 relations with 7+ large ideals: 11791262
  134. Mon Jul 8 14:37:51 2024 commencing 2-way merge
  135. Mon Jul 8 14:38:11 2024 reduce to 19101039 relation sets and 18391614 unique ideals
  136. Mon Jul 8 14:38:11 2024 commencing full merge
  137. Mon Jul 8 14:46:16 2024 memory use: 2318.2 MB
  138. Mon Jul 8 14:46:17 2024 found 8373056 cycles, need 8349814
  139. Mon Jul 8 14:46:19 2024 weight of 8349814 cycles is about 1086232765 (130.09/cycle)
  140. Mon Jul 8 14:46:19 2024 distribution of cycle lengths:
  141. Mon Jul 8 14:46:19 2024 1 relations: 305509
  142. Mon Jul 8 14:46:19 2024 2 relations: 484246
  143. Mon Jul 8 14:46:19 2024 3 relations: 578160
  144. Mon Jul 8 14:46:20 2024 4 relations: 607738
  145. Mon Jul 8 14:46:20 2024 5 relations: 631040
  146. Mon Jul 8 14:46:20 2024 6 relations: 630059
  147. Mon Jul 8 14:46:20 2024 7 relations: 617181
  148. Mon Jul 8 14:46:20 2024 8 relations: 588760
  149. Mon Jul 8 14:46:20 2024 9 relations: 550021
  150. Mon Jul 8 14:46:20 2024 10+ relations: 3357100
  151. Mon Jul 8 14:46:20 2024 heaviest cycle: 28 relations
  152. Mon Jul 8 14:46:22 2024 commencing cycle optimization
  153. Mon Jul 8 14:46:52 2024 start with 74976155 relations
  154. Mon Jul 8 14:49:48 2024 pruned 4074150 relations
  155. Mon Jul 8 14:49:48 2024 memory use: 1928.8 MB
  156. Mon Jul 8 14:49:48 2024 distribution of cycle lengths:
  157. Mon Jul 8 14:49:48 2024 1 relations: 305509
  158. Mon Jul 8 14:49:48 2024 2 relations: 499536
  159. Mon Jul 8 14:49:48 2024 3 relations: 608054
  160. Mon Jul 8 14:49:48 2024 4 relations: 639191
  161. Mon Jul 8 14:49:48 2024 5 relations: 670153
  162. Mon Jul 8 14:49:48 2024 6 relations: 668444
  163. Mon Jul 8 14:49:48 2024 7 relations: 656846
  164. Mon Jul 8 14:49:48 2024 8 relations: 622414
  165. Mon Jul 8 14:49:48 2024 9 relations: 579628
  166. Mon Jul 8 14:49:48 2024 10+ relations: 3100039
  167. Mon Jul 8 14:49:48 2024 heaviest cycle: 28 relations
  168. Mon Jul 8 14:49:58 2024 RelProcTime: 2099
  169. Mon Jul 8 14:49:58 2024 elapsed time 00:35:00
  170. Mon Jul 8 14:53:55 2024
  171. Mon Jul 8 14:53:55 2024
  172. Mon Jul 8 14:53:55 2024 Msieve v. 1.54 (SVN Unversioned directory)
  173. Mon Jul 8 14:53:55 2024 random seeds: 02f6d68f 726971f4
  174. Mon Jul 8 14:53:55 2024 MPI process 0 of 1
  175. Mon Jul 8 14:53:55 2024 Using 64 OpenMP threads
  176. Mon Jul 8 14:53:55 2024 factoring 598908103010363671964381546045461091168444400771070134851001639884852775689900989161904467461206290373361368077867205205948703075238964983297747730656180084754223231681813491 (174 digits)
  177. Mon Jul 8 14:53:55 2024 searching for 15-digit factors
  178. Mon Jul 8 14:53:56 2024 commencing number field sieve (174-digit input)
  179. Mon Jul 8 14:53:56 2024 R0: -7564509678903813449110349623295743
  180. Mon Jul 8 14:53:56 2024 R1: 3612310005333429113
  181. Mon Jul 8 14:53:56 2024 A0: -432838611538297650241597160453606488295184
  182. Mon Jul 8 14:53:56 2024 A1: 1159321535043651180213221483470238428
  183. Mon Jul 8 14:53:56 2024 A2: 16894845367637038161275949508
  184. Mon Jul 8 14:53:56 2024 A3: -1547359793617102712862
  185. Mon Jul 8 14:53:56 2024 A4: -2572095972743
  186. Mon Jul 8 14:53:56 2024 A5: 24180
  187. Mon Jul 8 14:53:56 2024 skew 76440911.85, size 5.592e-17, alpha -7.380, combined = 2.014e-13 rroots = 5
  188. Mon Jul 8 14:53:56 2024
  189. Mon Jul 8 14:53:56 2024 commencing linear algebra
  190. Mon Jul 8 14:53:56 2024 using VBITS=256
  191. Mon Jul 8 14:53:56 2024 initialized process (0,0) of 1 x 1 grid
  192. Mon Jul 8 14:53:57 2024 read 8349814 cycles
  193. Mon Jul 8 14:54:11 2024 cycles contain 27628462 unique relations
  194. Mon Jul 8 14:57:00 2024 read 27628462 relations
  195. Mon Jul 8 14:57:02 2024 using 20 quadratic characters above 4294917295
  196. Mon Jul 8 14:57:05 2024 building initial matrix
  197. Mon Jul 8 15:04:20 2024 memory use: 3964.8 MB
  198. Mon Jul 8 15:04:26 2024 read 8349814 cycles
  199. Mon Jul 8 15:04:28 2024 matrix is 8349635 x 8349814 (4193.7 MB) with weight 1292152285 (154.75/col)
  200. Mon Jul 8 15:04:28 2024 sparse part has weight 999167858 (119.66/col)
  201. Mon Jul 8 15:06:26 2024 filtering completed in 2 passes
  202. Mon Jul 8 15:06:30 2024 matrix is 8349509 x 8349685 (4193.7 MB) with weight 1292145435 (154.75/col)
  203. Mon Jul 8 15:06:30 2024 sparse part has weight 999165748 (119.67/col)
  204. Mon Jul 8 15:07:23 2024 matrix starts at (0, 0)
  205. Mon Jul 8 15:07:24 2024 matrix is 8349509 x 8349685 (4193.7 MB) with weight 1292145435 (154.75/col)
  206. Mon Jul 8 15:07:24 2024 sparse part has weight 999165748 (119.67/col)
  207. Mon Jul 8 15:07:24 2024 saving the first 240 matrix rows for later
  208. Mon Jul 8 15:07:25 2024 matrix includes 256 packed rows
  209. Mon Jul 8 15:07:28 2024 matrix is 8349269 x 8349685 (3774.4 MB) with weight 913813183 (109.44/col)
  210. Mon Jul 8 15:07:28 2024 sparse part has weight 855847567 (102.50/col)
  211. Mon Jul 8 15:07:28 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  212. Mon Jul 8 15:07:46 2024 commencing Lanczos iteration (64 threads)
  213. Mon Jul 8 15:07:46 2024 memory use: 5338.9 MB
  214. Mon Jul 8 15:09:02 2024 linear algebra at 0.4%, ETA 5h34m
  215. Mon Jul 8 15:10:50 2024 checking every 20000 dimensions, checkpointing every 1520000 dimensions
  216. Mon Jul 8 20:37:45 2024 lanczos halted after 32713 iterations (dim = 8349269)
  217. Mon Jul 8 20:38:13 2024 recovered 33 nontrivial dependencies
  218. Mon Jul 8 20:38:14 2024 BLanczosTime: 20658
  219. Mon Jul 8 20:38:14 2024
  220. Mon Jul 8 20:38:14 2024 commencing square root phase
  221. Mon Jul 8 20:38:14 2024 reading relations for dependency 1
  222. Mon Jul 8 20:38:15 2024 read 4177376 cycles
  223. Mon Jul 8 20:38:22 2024 cycles contain 13821400 unique relations
  224. Mon Jul 8 20:41:02 2024 read 13821400 relations
  225. Mon Jul 8 20:42:09 2024 multiplying 13821400 relations
  226. Mon Jul 8 20:44:00 2024 multiply complete, coefficients have about 753.88 million bits
  227. Mon Jul 8 20:44:03 2024 initial square root is modulo 5800481
  228. Mon Jul 8 20:49:43 2024 GCD is 1, no factor found
  229. Mon Jul 8 20:49:43 2024 reading relations for dependency 2
  230. Mon Jul 8 20:49:44 2024 read 4174293 cycles
  231. Mon Jul 8 20:49:53 2024 cycles contain 13813784 unique relations
  232. Mon Jul 8 20:52:26 2024 read 13813784 relations
  233. Mon Jul 8 20:53:40 2024 multiplying 13813784 relations
  234. Mon Jul 8 20:55:22 2024 multiply complete, coefficients have about 753.47 million bits
  235. Mon Jul 8 20:55:24 2024 initial square root is modulo 5751101
  236. Mon Jul 8 21:00:48 2024 GCD is N, no factor found
  237. Mon Jul 8 21:00:48 2024 reading relations for dependency 3
  238. Mon Jul 8 21:00:50 2024 read 4175068 cycles
  239. Mon Jul 8 21:00:58 2024 cycles contain 13814672 unique relations
  240. Mon Jul 8 21:03:30 2024 read 13814672 relations
  241. Mon Jul 8 21:04:38 2024 multiplying 13814672 relations
  242. Mon Jul 8 21:06:28 2024 multiply complete, coefficients have about 753.52 million bits
  243. Mon Jul 8 21:06:30 2024 initial square root is modulo 5757091
  244. Mon Jul 8 21:12:00 2024 sqrtTime: 2026
  245. Mon Jul 8 21:12:00 2024 p58 factor: 6860026165896838109456371563514208596635897255117780756371
  246. Mon Jul 8 21:12:00 2024 p116 factor: 87304055192632937742963536241782583592397490353952501492698629606223174396494242943716565008805044228720136875570721
  247. Mon Jul 8 21:12:00 2024 elapsed time 06:18:05
  248.  
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