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C161_97_87_4 postprocessing log

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Sep 3rd, 2024
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  1. Tue Sep 3 20:30:24 2024
  2. Tue Sep 3 20:30:24 2024
  3. Tue Sep 3 20:30:24 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Sep 3 20:30:24 2024 random seeds: 75451f31 f32451a6
  5. Tue Sep 3 20:30:24 2024 MPI process 0 of 1
  6. Tue Sep 3 20:30:24 2024 Using 32 OpenMP threads
  7. Tue Sep 3 20:30:24 2024 factoring 21715379204764576881354888419351775559934394090326188401747539485575388199431838238576918124593562842691790607109794626395964393913733079273087554246215776148367 (161 digits)
  8. Tue Sep 3 20:30:24 2024 searching for 15-digit factors
  9. Tue Sep 3 20:30:25 2024 commencing number field sieve (161-digit input)
  10. Tue Sep 3 20:30:25 2024 R0: -14301189490677893372634321174349
  11. Tue Sep 3 20:30:25 2024 R1: 49359690980906813
  12. Tue Sep 3 20:30:25 2024 A0: -16339363435432940273507063593619076701088
  13. Tue Sep 3 20:30:25 2024 A1: -5112165524326417989885233951825848
  14. Tue Sep 3 20:30:25 2024 A2: 230969903436027232802072874
  15. Tue Sep 3 20:30:25 2024 A3: 5638279441559733573
  16. Tue Sep 3 20:30:25 2024 A4: -310611764936
  17. Tue Sep 3 20:30:25 2024 A5: 36300
  18. Tue Sep 3 20:30:25 2024 skew 18277787.19, size 1.214e-15, alpha -7.694, combined = 1.274e-12 rroots = 3
  19. Tue Sep 3 20:30:25 2024
  20. Tue Sep 3 20:30:25 2024 commencing relation filtering
  21. Tue Sep 3 20:30:25 2024 setting target matrix density to 140.0
  22. Tue Sep 3 20:30:25 2024 estimated available RAM is 257736.5 MB
  23. Tue Sep 3 20:30:25 2024 commencing duplicate removal, pass 1
  24. Tue Sep 3 20:36:43 2024 error -1 reading relation 150477583
  25. Tue Sep 3 20:36:43 2024 skipped 6 malformed relations
  26. Tue Sep 3 20:36:43 2024 found 31182461 hash collisions in 150766453 relations
  27. Tue Sep 3 20:37:06 2024 added 122876 free relations
  28. Tue Sep 3 20:37:06 2024 commencing duplicate removal, pass 2
  29. Tue Sep 3 20:39:52 2024 found 29866854 duplicates and 121022475 unique relations
  30. Tue Sep 3 20:39:52 2024 memory use: 724.8 MB
  31. Tue Sep 3 20:39:52 2024 reading ideals above 720000
  32. Tue Sep 3 20:39:53 2024 commencing singleton removal, initial pass
  33. Tue Sep 3 20:47:59 2024 memory use: 2756.0 MB
  34. Tue Sep 3 20:47:59 2024 reading all ideals from disk
  35. Tue Sep 3 20:48:01 2024 memory use: 5433.9 MB
  36. Tue Sep 3 20:48:14 2024 keeping 94543404 ideals with weight <= 200, target excess is 635948
  37. Tue Sep 3 20:48:30 2024 commencing in-memory singleton removal
  38. Tue Sep 3 20:48:31 2024 begin with 121022475 relations and 94543404 unique ideals
  39. Tue Sep 3 20:48:40 2024 reduce to 92859585 relations and 64377926 ideals in 11 passes
  40. Tue Sep 3 20:48:40 2024 max relations containing the same ideal: 181
  41. Tue Sep 3 20:49:10 2024 removing 7336622 relations and 5336622 ideals in 2000000 cliques
  42. Tue Sep 3 20:49:14 2024 commencing in-memory singleton removal
  43. Tue Sep 3 20:49:16 2024 begin with 85522963 relations and 64377926 unique ideals
  44. Tue Sep 3 20:49:21 2024 reduce to 85052934 relations and 58558602 ideals in 7 passes
  45. Tue Sep 3 20:49:21 2024 max relations containing the same ideal: 170
  46. Tue Sep 3 20:49:47 2024 removing 5907064 relations and 3907064 ideals in 2000000 cliques
  47. Tue Sep 3 20:49:50 2024 commencing in-memory singleton removal
  48. Tue Sep 3 20:49:51 2024 begin with 79145870 relations and 58558602 unique ideals
  49. Tue Sep 3 20:49:54 2024 reduce to 78832095 relations and 54330417 ideals in 6 passes
  50. Tue Sep 3 20:49:54 2024 max relations containing the same ideal: 163
  51. Tue Sep 3 20:50:18 2024 removing 5531872 relations and 3531872 ideals in 2000000 cliques
  52. Tue Sep 3 20:50:21 2024 commencing in-memory singleton removal
  53. Tue Sep 3 20:50:22 2024 begin with 73300223 relations and 54330417 unique ideals
  54. Tue Sep 3 20:50:26 2024 reduce to 73031668 relations and 50523615 ideals in 6 passes
  55. Tue Sep 3 20:50:26 2024 max relations containing the same ideal: 152
  56. Tue Sep 3 20:50:49 2024 removing 5333034 relations and 3333034 ideals in 2000000 cliques
  57. Tue Sep 3 20:50:52 2024 commencing in-memory singleton removal
  58. Tue Sep 3 20:50:53 2024 begin with 67698634 relations and 50523615 unique ideals
  59. Tue Sep 3 20:50:56 2024 reduce to 67449642 relations and 46935434 ideals in 6 passes
  60. Tue Sep 3 20:50:56 2024 max relations containing the same ideal: 145
  61. Tue Sep 3 20:51:18 2024 removing 5207130 relations and 3207130 ideals in 2000000 cliques
  62. Tue Sep 3 20:51:20 2024 commencing in-memory singleton removal
  63. Tue Sep 3 20:51:21 2024 begin with 62242512 relations and 46935434 unique ideals
  64. Tue Sep 3 20:51:24 2024 reduce to 62003289 relations and 43482862 ideals in 7 passes
  65. Tue Sep 3 20:51:24 2024 max relations containing the same ideal: 141
  66. Tue Sep 3 20:51:44 2024 removing 5114537 relations and 3114537 ideals in 2000000 cliques
  67. Tue Sep 3 20:51:47 2024 commencing in-memory singleton removal
  68. Tue Sep 3 20:51:48 2024 begin with 56888752 relations and 43482862 unique ideals
  69. Tue Sep 3 20:51:50 2024 reduce to 56651772 relations and 40124837 ideals in 5 passes
  70. Tue Sep 3 20:51:50 2024 max relations containing the same ideal: 130
  71. Tue Sep 3 20:52:08 2024 removing 5048618 relations and 3048618 ideals in 2000000 cliques
  72. Tue Sep 3 20:52:11 2024 commencing in-memory singleton removal
  73. Tue Sep 3 20:52:11 2024 begin with 51603154 relations and 40124837 unique ideals
  74. Tue Sep 3 20:52:14 2024 reduce to 51361634 relations and 36827567 ideals in 6 passes
  75. Tue Sep 3 20:52:14 2024 max relations containing the same ideal: 124
  76. Tue Sep 3 20:52:31 2024 removing 4998030 relations and 2998030 ideals in 2000000 cliques
  77. Tue Sep 3 20:52:33 2024 commencing in-memory singleton removal
  78. Tue Sep 3 20:52:33 2024 begin with 46363604 relations and 36827567 unique ideals
  79. Tue Sep 3 20:52:35 2024 reduce to 46111734 relations and 33569778 ideals in 6 passes
  80. Tue Sep 3 20:52:35 2024 max relations containing the same ideal: 117
  81. Tue Sep 3 20:52:51 2024 removing 4956878 relations and 2956878 ideals in 2000000 cliques
  82. Tue Sep 3 20:52:53 2024 commencing in-memory singleton removal
  83. Tue Sep 3 20:52:54 2024 begin with 41154856 relations and 33569778 unique ideals
  84. Tue Sep 3 20:52:55 2024 reduce to 40888047 relations and 30336885 ideals in 6 passes
  85. Tue Sep 3 20:52:55 2024 max relations containing the same ideal: 108
  86. Tue Sep 3 20:53:09 2024 removing 4929682 relations and 2929682 ideals in 2000000 cliques
  87. Tue Sep 3 20:53:11 2024 commencing in-memory singleton removal
  88. Tue Sep 3 20:53:11 2024 begin with 35958365 relations and 30336885 unique ideals
  89. Tue Sep 3 20:53:13 2024 reduce to 35668936 relations and 27106751 ideals in 6 passes
  90. Tue Sep 3 20:53:13 2024 max relations containing the same ideal: 94
  91. Tue Sep 3 20:53:24 2024 removing 4910783 relations and 2910783 ideals in 2000000 cliques
  92. Tue Sep 3 20:53:25 2024 commencing in-memory singleton removal
  93. Tue Sep 3 20:53:26 2024 begin with 30758153 relations and 27106751 unique ideals
  94. Tue Sep 3 20:53:27 2024 reduce to 30435918 relations and 23859950 ideals in 6 passes
  95. Tue Sep 3 20:53:27 2024 max relations containing the same ideal: 88
  96. Tue Sep 3 20:53:37 2024 removing 4899589 relations and 2899589 ideals in 2000000 cliques
  97. Tue Sep 3 20:53:39 2024 commencing in-memory singleton removal
  98. Tue Sep 3 20:53:39 2024 begin with 25536329 relations and 23859950 unique ideals
  99. Tue Sep 3 20:53:40 2024 reduce to 25165007 relations and 20570894 ideals in 6 passes
  100. Tue Sep 3 20:53:40 2024 max relations containing the same ideal: 80
  101. Tue Sep 3 20:53:49 2024 removing 4892630 relations and 2892630 ideals in 2000000 cliques
  102. Tue Sep 3 20:53:50 2024 commencing in-memory singleton removal
  103. Tue Sep 3 20:53:50 2024 begin with 20272377 relations and 20570894 unique ideals
  104. Tue Sep 3 20:53:51 2024 reduce to 19822448 relations and 17201491 ideals in 7 passes
  105. Tue Sep 3 20:53:51 2024 max relations containing the same ideal: 67
  106. Tue Sep 3 20:53:58 2024 removing 4648772 relations and 2765515 ideals in 1883257 cliques
  107. Tue Sep 3 20:53:59 2024 commencing in-memory singleton removal
  108. Tue Sep 3 20:54:00 2024 begin with 15173676 relations and 17201491 unique ideals
  109. Tue Sep 3 20:54:00 2024 reduce to 14601951 relations and 13821991 ideals in 7 passes
  110. Tue Sep 3 20:54:00 2024 max relations containing the same ideal: 53
  111. Tue Sep 3 20:54:05 2024 removing 210569 relations and 168309 ideals in 42260 cliques
  112. Tue Sep 3 20:54:05 2024 commencing in-memory singleton removal
  113. Tue Sep 3 20:54:05 2024 begin with 14391382 relations and 13821991 unique ideals
  114. Tue Sep 3 20:54:06 2024 reduce to 14387911 relations and 13650207 ideals in 5 passes
  115. Tue Sep 3 20:54:06 2024 max relations containing the same ideal: 52
  116. Tue Sep 3 20:54:07 2024 relations with 0 large ideals: 2098
  117. Tue Sep 3 20:54:07 2024 relations with 1 large ideals: 22141
  118. Tue Sep 3 20:54:07 2024 relations with 2 large ideals: 257074
  119. Tue Sep 3 20:54:07 2024 relations with 3 large ideals: 1186920
  120. Tue Sep 3 20:54:07 2024 relations with 4 large ideals: 2836744
  121. Tue Sep 3 20:54:07 2024 relations with 5 large ideals: 3941772
  122. Tue Sep 3 20:54:07 2024 relations with 6 large ideals: 3436048
  123. Tue Sep 3 20:54:07 2024 relations with 7+ large ideals: 2705114
  124. Tue Sep 3 20:54:07 2024 commencing 2-way merge
  125. Tue Sep 3 20:54:14 2024 reduce to 10376732 relation sets and 9639028 unique ideals
  126. Tue Sep 3 20:54:14 2024 commencing full merge
  127. Tue Sep 3 20:57:11 2024 memory use: 1157.3 MB
  128. Tue Sep 3 20:57:12 2024 found 4328699 cycles, need 4323228
  129. Tue Sep 3 20:57:13 2024 weight of 4323228 cycles is about 606129560 (140.20/cycle)
  130. Tue Sep 3 20:57:13 2024 distribution of cycle lengths:
  131. Tue Sep 3 20:57:13 2024 1 relations: 56657
  132. Tue Sep 3 20:57:13 2024 2 relations: 175921
  133. Tue Sep 3 20:57:13 2024 3 relations: 243118
  134. Tue Sep 3 20:57:13 2024 4 relations: 281934
  135. Tue Sep 3 20:57:13 2024 5 relations: 314048
  136. Tue Sep 3 20:57:13 2024 6 relations: 322774
  137. Tue Sep 3 20:57:13 2024 7 relations: 322863
  138. Tue Sep 3 20:57:13 2024 8 relations: 312325
  139. Tue Sep 3 20:57:13 2024 9 relations: 294643
  140. Tue Sep 3 20:57:13 2024 10+ relations: 1998945
  141. Tue Sep 3 20:57:13 2024 heaviest cycle: 28 relations
  142. Tue Sep 3 20:57:14 2024 commencing cycle optimization
  143. Tue Sep 3 20:57:22 2024 start with 43323320 relations
  144. Tue Sep 3 20:58:54 2024 pruned 2882056 relations
  145. Tue Sep 3 20:58:54 2024 memory use: 1036.1 MB
  146. Tue Sep 3 20:58:54 2024 distribution of cycle lengths:
  147. Tue Sep 3 20:58:54 2024 1 relations: 56657
  148. Tue Sep 3 20:58:54 2024 2 relations: 182316
  149. Tue Sep 3 20:58:54 2024 3 relations: 256921
  150. Tue Sep 3 20:58:54 2024 4 relations: 299983
  151. Tue Sep 3 20:58:54 2024 5 relations: 337923
  152. Tue Sep 3 20:58:54 2024 6 relations: 348068
  153. Tue Sep 3 20:58:54 2024 7 relations: 350448
  154. Tue Sep 3 20:58:54 2024 8 relations: 337080
  155. Tue Sep 3 20:58:54 2024 9 relations: 316721
  156. Tue Sep 3 20:58:54 2024 10+ relations: 1837111
  157. Tue Sep 3 20:58:54 2024 heaviest cycle: 28 relations
  158. Tue Sep 3 20:58:59 2024 RelProcTime: 1714
  159. Tue Sep 3 20:58:59 2024 elapsed time 00:28:35
  160. Tue Sep 3 21:07:51 2024
  161. Tue Sep 3 21:07:51 2024
  162. Tue Sep 3 21:07:51 2024 Msieve v. 1.54 (SVN Unversioned directory)
  163. Tue Sep 3 21:07:51 2024 random seeds: 5831e9c2 ffe9bbed
  164. Tue Sep 3 21:07:51 2024 MPI process 0 of 1
  165. Tue Sep 3 21:07:51 2024 Using 64 OpenMP threads
  166. Tue Sep 3 21:07:51 2024 factoring 21715379204764576881354888419351775559934394090326188401747539485575388199431838238576918124593562842691790607109794626395964393913733079273087554246215776148367 (161 digits)
  167. Tue Sep 3 21:07:51 2024 searching for 15-digit factors
  168. Tue Sep 3 21:07:52 2024 commencing number field sieve (161-digit input)
  169. Tue Sep 3 21:07:52 2024 R0: -14301189490677893372634321174349
  170. Tue Sep 3 21:07:52 2024 R1: 49359690980906813
  171. Tue Sep 3 21:07:52 2024 A0: -16339363435432940273507063593619076701088
  172. Tue Sep 3 21:07:52 2024 A1: -5112165524326417989885233951825848
  173. Tue Sep 3 21:07:52 2024 A2: 230969903436027232802072874
  174. Tue Sep 3 21:07:52 2024 A3: 5638279441559733573
  175. Tue Sep 3 21:07:52 2024 A4: -310611764936
  176. Tue Sep 3 21:07:52 2024 A5: 36300
  177. Tue Sep 3 21:07:52 2024 skew 18277787.19, size 1.214e-15, alpha -7.694, combined = 1.274e-12 rroots = 3
  178. Tue Sep 3 21:07:52 2024
  179. Tue Sep 3 21:07:52 2024 commencing linear algebra
  180. Tue Sep 3 21:07:52 2024 using VBITS=256
  181. Tue Sep 3 21:07:52 2024 initialized process (0,0) of 1 x 1 grid
  182. Tue Sep 3 21:07:53 2024 read 4323228 cycles
  183. Tue Sep 3 21:08:03 2024 cycles contain 14063038 unique relations
  184. Tue Sep 3 21:10:19 2024 read 14063038 relations
  185. Tue Sep 3 21:10:20 2024 using 20 quadratic characters above 4294917295
  186. Tue Sep 3 21:10:21 2024 building initial matrix
  187. Tue Sep 3 21:14:33 2024 memory use: 1953.3 MB
  188. Tue Sep 3 21:14:38 2024 read 4323228 cycles
  189. Tue Sep 3 21:14:39 2024 matrix is 4323049 x 4323228 (2272.8 MB) with weight 688104646 (159.16/col)
  190. Tue Sep 3 21:14:39 2024 sparse part has weight 543910757 (125.81/col)
  191. Tue Sep 3 21:15:39 2024 filtering completed in 2 passes
  192. Tue Sep 3 21:15:40 2024 matrix is 4323012 x 4323191 (2272.8 MB) with weight 688102942 (159.17/col)
  193. Tue Sep 3 21:15:40 2024 sparse part has weight 543910397 (125.81/col)
  194. Tue Sep 3 21:16:06 2024 matrix starts at (0, 0)
  195. Tue Sep 3 21:16:06 2024 matrix is 4323012 x 4323191 (2272.8 MB) with weight 688102942 (159.17/col)
  196. Tue Sep 3 21:16:06 2024 sparse part has weight 543910397 (125.81/col)
  197. Tue Sep 3 21:16:06 2024 saving the first 240 matrix rows for later
  198. Tue Sep 3 21:16:07 2024 matrix includes 256 packed rows
  199. Tue Sep 3 21:16:08 2024 matrix is 4322772 x 4323191 (2027.6 MB) with weight 496027024 (114.74/col)
  200. Tue Sep 3 21:16:08 2024 sparse part has weight 462363759 (106.95/col)
  201. Tue Sep 3 21:16:08 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  202. Tue Sep 3 21:16:19 2024 commencing Lanczos iteration (64 threads)
  203. Tue Sep 3 21:16:19 2024 memory use: 2815.8 MB
  204. Tue Sep 3 21:16:59 2024 linear algebra at 0.7%, ETA 1h33m
  205. Tue Sep 3 21:18:00 2024 checking every 40000 dimensions, checkpointing every 2760000 dimensions
  206. Tue Sep 3 22:49:20 2024 lanczos halted after 16938 iterations (dim = 4322771)
  207. Tue Sep 3 22:49:37 2024 recovered 30 nontrivial dependencies
  208. Tue Sep 3 22:49:37 2024 BLanczosTime: 6105
  209. Tue Sep 3 22:49:37 2024
  210. Tue Sep 3 22:49:37 2024 commencing square root phase
  211. Tue Sep 3 22:49:37 2024 reading relations for dependency 1
  212. Tue Sep 3 22:49:37 2024 read 2161537 cycles
  213. Tue Sep 3 22:49:40 2024 cycles contain 7033052 unique relations
  214. Tue Sep 3 22:51:30 2024 read 7033052 relations
  215. Tue Sep 3 22:51:53 2024 multiplying 7033052 relations
  216. Tue Sep 3 22:52:44 2024 multiply complete, coefficients have about 366.16 million bits
  217. Tue Sep 3 22:52:45 2024 initial square root is modulo 3717031
  218. Tue Sep 3 22:56:14 2024 found factor: 387895672425496861394001025370548360773301775753173
  219. Tue Sep 3 22:56:14 2024 reading relations for dependency 2
  220. Tue Sep 3 22:56:14 2024 read 2159822 cycles
  221. Tue Sep 3 22:56:18 2024 cycles contain 7028374 unique relations
  222. Tue Sep 3 22:58:25 2024 read 7028374 relations
  223. Tue Sep 3 22:58:51 2024 multiplying 7028374 relations
  224. Tue Sep 3 22:59:55 2024 multiply complete, coefficients have about 365.92 million bits
  225. Tue Sep 3 22:59:56 2024 initial square root is modulo 3679759
  226. Tue Sep 3 23:03:21 2024 found factor: 387895672425496861394001025370548360773301775753173
  227. Tue Sep 3 23:03:21 2024 reading relations for dependency 3
  228. Tue Sep 3 23:03:22 2024 read 2160381 cycles
  229. Tue Sep 3 23:03:27 2024 cycles contain 7029482 unique relations
  230. Tue Sep 3 23:05:28 2024 read 7029482 relations
  231. Tue Sep 3 23:06:05 2024 multiplying 7029482 relations
  232. Tue Sep 3 23:07:08 2024 multiply complete, coefficients have about 365.98 million bits
  233. Tue Sep 3 23:07:09 2024 initial square root is modulo 3688903
  234. Tue Sep 3 23:10:20 2024 GCD is 1, no factor found
  235. Tue Sep 3 23:10:20 2024 reading relations for dependency 4
  236. Tue Sep 3 23:10:21 2024 read 2160854 cycles
  237. Tue Sep 3 23:10:24 2024 cycles contain 7030376 unique relations
  238. Tue Sep 3 23:12:15 2024 read 7030376 relations
  239. Tue Sep 3 23:12:38 2024 multiplying 7030376 relations
  240. Tue Sep 3 23:13:14 2024 multiply complete, coefficients have about 366.02 million bits
  241. Tue Sep 3 23:13:15 2024 initial square root is modulo 3695353
  242. Tue Sep 3 23:16:53 2024 sqrtTime: 1636
  243. Tue Sep 3 23:16:53 2024 p51 factor: 387895672425496861394001025370548360773301775753173
  244. Tue Sep 3 23:16:53 2024 p54 factor: 957311667709791112982748422858471304019585273345513613
  245. Tue Sep 3 23:16:53 2024 p56 factor: 58478891415241541380055925550763514654295954851068642783
  246. Tue Sep 3 23:16:53 2024 elapsed time 02:09:02
  247.  
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