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Nov 18th, 2023
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  1. Fri Nov 17 22:28:43 2023
  2. Fri Nov 17 22:28:43 2023
  3. Fri Nov 17 22:28:43 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Nov 17 22:28:43 2023 random seeds: b27b90dc 691fe38d
  5. Fri Nov 17 22:28:43 2023 MPI process 0 of 1
  6. Fri Nov 17 22:28:43 2023 Using 46 OpenMP threads
  7. Fri Nov 17 22:28:43 2023 factoring 1646865672752152320005212480428247865026169187942414893904748987457908207950485928061363618603170598204722227886980403774014769210795690379747757556431321574510433072943310783094038241 (184 digits)
  8. Fri Nov 17 22:28:44 2023 no P-1/P+1/ECM available, skipping
  9. Fri Nov 17 22:28:44 2023 commencing number field sieve (184-digit input)
  10. Fri Nov 17 22:28:44 2023 R0: -198319705559526795382452790733551293
  11. Fri Nov 17 22:28:44 2023 R1: 16633919427688952847073817
  12. Fri Nov 17 22:28:44 2023 A0: -2517451553961895942310636471422614563076600
  13. Fri Nov 17 22:28:44 2023 A1: -2383556519710431980862093338180432732
  14. Fri Nov 17 22:28:44 2023 A2: 146266986874113182683807280472
  15. Fri Nov 17 22:28:44 2023 A3: 8144786822778065699774
  16. Fri Nov 17 22:28:44 2023 A4: 182051431698585
  17. Fri Nov 17 22:28:44 2023 A5: 80507700
  18. Fri Nov 17 22:28:44 2023 skew 9795914.95, size 5.574e-18, alpha -8.013, combined = 5.044e-14 rroots = 3
  19. Fri Nov 17 22:28:44 2023
  20. Fri Nov 17 22:28:44 2023 commencing relation filtering
  21. Fri Nov 17 22:28:44 2023 setting target matrix density to 110.0
  22. Fri Nov 17 22:28:44 2023 estimated available RAM is 192069.1 MB
  23. Fri Nov 17 22:28:44 2023 commencing duplicate removal, pass 1
  24. Fri Nov 17 22:32:48 2023 skipped 2 relations with composite factors
  25. Fri Nov 17 22:32:48 2023 skipped 421 malformed relations
  26. Fri Nov 17 22:32:48 2023 found 12558519 hash collisions in 336994325 relations
  27. Fri Nov 17 22:33:19 2023 added 121900 free relations
  28. Fri Nov 17 22:33:19 2023 commencing duplicate removal, pass 2
  29. Fri Nov 17 22:34:41 2023 found 1 duplicates and 337116224 unique relations
  30. Fri Nov 17 22:34:41 2023 memory use: 1044.8 MB
  31. Fri Nov 17 22:34:41 2023 reading ideals above 720000
  32. Fri Nov 17 22:34:41 2023 commencing singleton removal, initial pass
  33. Fri Nov 17 22:46:41 2023 memory use: 11024.0 MB
  34. Fri Nov 17 22:46:42 2023 reading all ideals from disk
  35. Fri Nov 17 22:46:50 2023 memory use: 16582.5 MB
  36. Fri Nov 17 22:47:14 2023 keeping 326363065 ideals with weight <= 200, target excess is 1735166
  37. Fri Nov 17 22:47:45 2023 commencing in-memory singleton removal
  38. Fri Nov 17 22:47:49 2023 begin with 337116224 relations and 326363065 unique ideals
  39. Fri Nov 17 22:48:04 2023 reduce to 199512302 relations and 173350764 ideals in 17 passes
  40. Fri Nov 17 22:48:04 2023 max relations containing the same ideal: 149
  41. Fri Nov 17 22:48:57 2023 removing 14570258 relations and 12570258 ideals in 2000000 cliques
  42. Fri Nov 17 22:49:06 2023 commencing in-memory singleton removal
  43. Fri Nov 17 22:49:08 2023 begin with 184942044 relations and 173350764 unique ideals
  44. Fri Nov 17 22:49:15 2023 reduce to 184073186 relations and 159899660 ideals in 9 passes
  45. Fri Nov 17 22:49:15 2023 max relations containing the same ideal: 148
  46. Fri Nov 17 22:50:02 2023 removing 10982432 relations and 8982433 ideals in 2000000 cliques
  47. Fri Nov 17 22:50:09 2023 commencing in-memory singleton removal
  48. Fri Nov 17 22:50:11 2023 begin with 173090754 relations and 159899660 unique ideals
  49. Fri Nov 17 22:50:17 2023 reduce to 172536542 relations and 150356531 ideals in 7 passes
  50. Fri Nov 17 22:50:17 2023 max relations containing the same ideal: 138
  51. Fri Nov 17 22:51:00 2023 removing 9875485 relations and 7875485 ideals in 2000000 cliques
  52. Fri Nov 17 22:51:07 2023 commencing in-memory singleton removal
  53. Fri Nov 17 22:51:09 2023 begin with 162661057 relations and 150356531 unique ideals
  54. Fri Nov 17 22:51:14 2023 reduce to 162179300 relations and 141993723 ideals in 8 passes
  55. Fri Nov 17 22:51:14 2023 max relations containing the same ideal: 133
  56. Fri Nov 17 22:52:01 2023 removing 9298061 relations and 7298061 ideals in 2000000 cliques
  57. Fri Nov 17 22:52:08 2023 commencing in-memory singleton removal
  58. Fri Nov 17 22:52:09 2023 begin with 152881239 relations and 141993723 unique ideals
  59. Fri Nov 17 22:52:15 2023 reduce to 152424570 relations and 134233730 ideals in 8 passes
  60. Fri Nov 17 22:52:15 2023 max relations containing the same ideal: 128
  61. Fri Nov 17 22:52:55 2023 removing 8944181 relations and 6944181 ideals in 2000000 cliques
  62. Fri Nov 17 22:53:02 2023 commencing in-memory singleton removal
  63. Fri Nov 17 22:53:03 2023 begin with 143480389 relations and 134233730 unique ideals
  64. Fri Nov 17 22:53:09 2023 reduce to 143032509 relations and 126836345 ideals in 8 passes
  65. Fri Nov 17 22:53:09 2023 max relations containing the same ideal: 122
  66. Fri Nov 17 22:53:47 2023 removing 8707483 relations and 6707483 ideals in 2000000 cliques
  67. Fri Nov 17 22:53:53 2023 commencing in-memory singleton removal
  68. Fri Nov 17 22:53:54 2023 begin with 134325026 relations and 126836345 unique ideals
  69. Fri Nov 17 22:53:59 2023 reduce to 133872383 relations and 119670583 ideals in 8 passes
  70. Fri Nov 17 22:53:59 2023 max relations containing the same ideal: 116
  71. Fri Nov 17 22:54:35 2023 removing 8564547 relations and 6564547 ideals in 2000000 cliques
  72. Fri Nov 17 22:54:41 2023 commencing in-memory singleton removal
  73. Fri Nov 17 22:54:42 2023 begin with 125307836 relations and 119670583 unique ideals
  74. Fri Nov 17 22:54:47 2023 reduce to 124839612 relations and 112631561 ideals in 8 passes
  75. Fri Nov 17 22:54:47 2023 max relations containing the same ideal: 112
  76. Fri Nov 17 22:55:22 2023 removing 8481132 relations and 6481132 ideals in 2000000 cliques
  77. Fri Nov 17 22:55:27 2023 commencing in-memory singleton removal
  78. Fri Nov 17 22:55:28 2023 begin with 116358480 relations and 112631561 unique ideals
  79. Fri Nov 17 22:55:32 2023 reduce to 115868119 relations and 105653162 ideals in 7 passes
  80. Fri Nov 17 22:55:32 2023 max relations containing the same ideal: 105
  81. Fri Nov 17 22:56:04 2023 removing 8446738 relations and 6446738 ideals in 2000000 cliques
  82. Fri Nov 17 22:56:09 2023 commencing in-memory singleton removal
  83. Fri Nov 17 22:56:10 2023 begin with 107421381 relations and 105653162 unique ideals
  84. Fri Nov 17 22:56:14 2023 reduce to 106894134 relations and 98671308 ideals in 7 passes
  85. Fri Nov 17 22:56:14 2023 max relations containing the same ideal: 98
  86. Fri Nov 17 22:56:46 2023 removing 8467683 relations and 6467683 ideals in 2000000 cliques
  87. Fri Nov 17 22:56:51 2023 commencing in-memory singleton removal
  88. Fri Nov 17 22:56:52 2023 begin with 98426451 relations and 98671308 unique ideals
  89. Fri Nov 17 22:56:56 2023 reduce to 97850307 relations and 91618202 ideals in 9 passes
  90. Fri Nov 17 22:56:56 2023 max relations containing the same ideal: 93
  91. Fri Nov 17 22:57:24 2023 removing 8524691 relations and 6524691 ideals in 2000000 cliques
  92. Fri Nov 17 22:57:29 2023 commencing in-memory singleton removal
  93. Fri Nov 17 22:57:30 2023 begin with 89325616 relations and 91618202 unique ideals
  94. Fri Nov 17 22:57:33 2023 reduce to 88681935 relations and 84438521 ideals in 8 passes
  95. Fri Nov 17 22:57:33 2023 max relations containing the same ideal: 86
  96. Fri Nov 17 22:58:00 2023 removing 8642322 relations and 6642322 ideals in 2000000 cliques
  97. Fri Nov 17 22:58:04 2023 commencing in-memory singleton removal
  98. Fri Nov 17 22:58:05 2023 begin with 80039613 relations and 84438521 unique ideals
  99. Fri Nov 17 22:58:08 2023 reduce to 79294387 relations and 77036690 ideals in 9 passes
  100. Fri Nov 17 22:58:08 2023 max relations containing the same ideal: 79
  101. Fri Nov 17 22:58:32 2023 removing 1620995 relations and 1376091 ideals in 244904 cliques
  102. Fri Nov 17 22:58:35 2023 commencing in-memory singleton removal
  103. Fri Nov 17 22:58:35 2023 begin with 77673392 relations and 77036690 unique ideals
  104. Fri Nov 17 22:58:38 2023 reduce to 77649542 relations and 75636679 ideals in 6 passes
  105. Fri Nov 17 22:58:38 2023 max relations containing the same ideal: 79
  106. Fri Nov 17 22:58:50 2023 relations with 0 large ideals: 5982
  107. Fri Nov 17 22:58:50 2023 relations with 1 large ideals: 38839
  108. Fri Nov 17 22:58:50 2023 relations with 2 large ideals: 519390
  109. Fri Nov 17 22:58:50 2023 relations with 3 large ideals: 3035478
  110. Fri Nov 17 22:58:50 2023 relations with 4 large ideals: 9620332
  111. Fri Nov 17 22:58:50 2023 relations with 5 large ideals: 18205993
  112. Fri Nov 17 22:58:50 2023 relations with 6 large ideals: 21452782
  113. Fri Nov 17 22:58:50 2023 relations with 7+ large ideals: 24770746
  114. Fri Nov 17 22:58:50 2023 commencing 2-way merge
  115. Fri Nov 17 22:59:25 2023 reduce to 48005551 relation sets and 45992688 unique ideals
  116. Fri Nov 17 22:59:25 2023 commencing full merge
  117. Fri Nov 17 23:10:02 2023 memory use: 5262.4 MB
  118. Fri Nov 17 23:10:06 2023 found 21790512 cycles, need 21566888
  119. Fri Nov 17 23:10:13 2023 weight of 21566888 cycles is about 2372825794 (110.02/cycle)
  120. Fri Nov 17 23:10:13 2023 distribution of cycle lengths:
  121. Fri Nov 17 23:10:13 2023 1 relations: 1868917
  122. Fri Nov 17 23:10:13 2023 2 relations: 1717017
  123. Fri Nov 17 23:10:13 2023 3 relations: 1757375
  124. Fri Nov 17 23:10:13 2023 4 relations: 1717216
  125. Fri Nov 17 23:10:13 2023 5 relations: 1692136
  126. Fri Nov 17 23:10:13 2023 6 relations: 1597506
  127. Fri Nov 17 23:10:13 2023 7 relations: 1541141
  128. Fri Nov 17 23:10:13 2023 8 relations: 1425449
  129. Fri Nov 17 23:10:13 2023 9 relations: 1303911
  130. Fri Nov 17 23:10:13 2023 10+ relations: 6946220
  131. Fri Nov 17 23:10:13 2023 heaviest cycle: 26 relations
  132. Fri Nov 17 23:10:21 2023 commencing cycle optimization
  133. Fri Nov 17 23:10:55 2023 start with 164570056 relations
  134. Fri Nov 17 23:15:16 2023 pruned 5702272 relations
  135. Fri Nov 17 23:15:16 2023 memory use: 4847.2 MB
  136. Fri Nov 17 23:15:16 2023 distribution of cycle lengths:
  137. Fri Nov 17 23:15:16 2023 1 relations: 1868917
  138. Fri Nov 17 23:15:16 2023 2 relations: 1762333
  139. Fri Nov 17 23:15:16 2023 3 relations: 1828028
  140. Fri Nov 17 23:15:16 2023 4 relations: 1776422
  141. Fri Nov 17 23:15:16 2023 5 relations: 1757996
  142. Fri Nov 17 23:15:16 2023 6 relations: 1653517
  143. Fri Nov 17 23:15:16 2023 7 relations: 1592581
  144. Fri Nov 17 23:15:16 2023 8 relations: 1465095
  145. Fri Nov 17 23:15:16 2023 9 relations: 1335576
  146. Fri Nov 17 23:15:16 2023 10+ relations: 6526423
  147. Fri Nov 17 23:15:16 2023 heaviest cycle: 26 relations
  148. Fri Nov 17 23:15:57 2023 RelProcTime: 2833
  149. Fri Nov 17 23:15:57 2023 elapsed time 00:47:14
  150. Fri Nov 17 23:16:05 2023
  151. Fri Nov 17 23:16:05 2023
  152. Fri Nov 17 23:16:05 2023 Msieve v. 1.54 (SVN Unversioned directory)
  153. Fri Nov 17 23:16:05 2023 random seeds: 87bef5fb 6643b163
  154. Fri Nov 17 23:16:05 2023 MPI process 0 of 1
  155. Fri Nov 17 23:16:05 2023 Using 46 OpenMP threads
  156. Fri Nov 17 23:16:05 2023 factoring 1646865672752152320005212480428247865026169187942414893904748987457908207950485928061363618603170598204722227886980403774014769210795690379747757556431321574510433072943310783094038241 (184 digits)
  157. Fri Nov 17 23:16:06 2023 no P-1/P+1/ECM available, skipping
  158. Fri Nov 17 23:16:06 2023 commencing number field sieve (184-digit input)
  159. Fri Nov 17 23:16:06 2023 R0: -198319705559526795382452790733551293
  160. Fri Nov 17 23:16:06 2023 R1: 16633919427688952847073817
  161. Fri Nov 17 23:16:06 2023 A0: -2517451553961895942310636471422614563076600
  162. Fri Nov 17 23:16:06 2023 A1: -2383556519710431980862093338180432732
  163. Fri Nov 17 23:16:06 2023 A2: 146266986874113182683807280472
  164. Fri Nov 17 23:16:06 2023 A3: 8144786822778065699774
  165. Fri Nov 17 23:16:06 2023 A4: 182051431698585
  166. Fri Nov 17 23:16:06 2023 A5: 80507700
  167. Fri Nov 17 23:16:06 2023 skew 9795914.95, size 5.574e-18, alpha -8.013, combined = 5.044e-14 rroots = 3
  168. Fri Nov 17 23:16:06 2023
  169. Fri Nov 17 23:16:06 2023 commencing linear algebra
  170. Fri Nov 17 23:16:06 2023 using VBITS=128
  171. Fri Nov 17 23:16:06 2023 stopping after matrix build
  172. Fri Nov 17 23:16:06 2023 initialized process (0,0) of 1 x 1 grid
  173. Fri Nov 17 23:16:09 2023 read 21566888 cycles
  174. Fri Nov 17 23:16:45 2023 cycles contain 76380207 unique relations
  175. Fri Nov 17 23:17:35 2023 read 76380207 relations
  176. Fri Nov 17 23:17:40 2023 using 20 quadratic characters above 4294917295
  177. Fri Nov 17 23:17:50 2023 building initial matrix
  178. Fri Nov 17 23:34:42 2023 memory use: 10880.2 MB
  179. Fri Nov 17 23:35:05 2023 read 21566888 cycles
  180. Fri Nov 17 23:35:08 2023 matrix is 21566710 x 21566888 (9525.6 MB) with weight 2939516108 (136.30/col)
  181. Fri Nov 17 23:35:08 2023 sparse part has weight 2238277389 (103.78/col)
  182. Fri Nov 17 23:39:53 2023 filtering completed in 2 passes
  183. Fri Nov 17 23:39:57 2023 matrix is 21561929 x 21562107 (9525.1 MB) with weight 2939291531 (136.32/col)
  184. Fri Nov 17 23:39:57 2023 sparse part has weight 2238214437 (103.80/col)
  185. Fri Nov 17 23:40:57 2023 BLanczosTime: 1491
  186. Fri Nov 17 23:40:57 2023 elapsed time 00:24:52
  187. Sat Nov 18 02:08:08 2023
  188. Sat Nov 18 02:08:08 2023
  189. Sat Nov 18 02:08:08 2023 Msieve v. 1.54 (SVN unknown)
  190. Sat Nov 18 02:08:08 2023 random seeds: ee9e5d18 28bd9fc9
  191. Sat Nov 18 02:08:08 2023 MPI process 0 of 4
  192. Sat Nov 18 02:08:08 2023 Using 16 OpenMP threads
  193. Sat Nov 18 02:08:08 2023 factoring 1646865672752152320005212480428247865026169187942414893904748987457908207950485928061363618603170598204722227886980403774014769210795690379747757556431321574510433072943310783094038241 (184 digits)
  194. Sat Nov 18 02:08:08 2023 no P-1/P+1/ECM available, skipping
  195. Sat Nov 18 02:08:08 2023 commencing number field sieve (184-digit input)
  196. Sat Nov 18 02:08:08 2023 R0: -198319705559526795382452790733551293
  197. Sat Nov 18 02:08:08 2023 R1: 16633919427688952847073817
  198. Sat Nov 18 02:08:08 2023 A0: -2517451553961895942310636471422614563076600
  199. Sat Nov 18 02:08:08 2023 A1: -2383556519710431980862093338180432732
  200. Sat Nov 18 02:08:08 2023 A2: 146266986874113182683807280472
  201. Sat Nov 18 02:08:08 2023 A3: 8144786822778065699774
  202. Sat Nov 18 02:08:08 2023 A4: 182051431698585
  203. Sat Nov 18 02:08:08 2023 A5: 80507700
  204. Sat Nov 18 02:08:08 2023 skew 9795914.95, size 5.574e-18, alpha -8.013, combined = 5.044e-14 rroots = 3
  205. Sat Nov 18 02:08:08 2023
  206. Sat Nov 18 02:08:08 2023 commencing linear algebra
  207. Sat Nov 18 02:08:08 2023 using VBITS=256
  208. Sat Nov 18 02:08:08 2023 skipping matrix build
  209. Sat Nov 18 02:08:09 2023 initialized process (0,0) of 2 x 2 grid
  210. Sat Nov 18 02:08:19 2023 matrix starts at (0, 0)
  211. Sat Nov 18 02:08:20 2023 matrix is 10781085 x 10781044 (2800.9 MB) with weight 955380313 (88.62/col)
  212. Sat Nov 18 02:08:20 2023 sparse part has weight 604858885 (56.10/col)
  213. Sat Nov 18 02:08:20 2023 saving the first 240 matrix rows for later
  214. Sat Nov 18 02:08:22 2023 matrix includes 256 packed rows
  215. Sat Nov 18 02:08:25 2023 matrix is 10780845 x 10781044 (2439.3 MB) with weight 514824689 (47.75/col)
  216. Sat Nov 18 02:08:25 2023 sparse part has weight 466956056 (43.31/col)
  217. Sat Nov 18 02:08:25 2023 using GPU 0 (NVIDIA A100-SXM4-40GB)
  218. Sat Nov 18 02:08:25 2023 selected card has CUDA arch 8.0
  219. Sat Nov 18 02:08:46 2023 commencing Lanczos iteration
  220. Sat Nov 18 02:08:47 2023 memory use: 5618.9 MB
  221. Sat Nov 18 02:08:59 2023 linear algebra at 0.1%, ETA 2h 8m
  222. Sat Nov 18 02:09:16 2023 checking every 160000 dimensions, checkpointing every 9920000 dimensions
  223. Sat Nov 18 04:21:53 2023 lanczos halted after 84480 iterations (dim = 21561687)
  224. Sat Nov 18 04:24:00 2023 recovered 31 nontrivial dependencies
  225. Sat Nov 18 04:24:01 2023 BLanczosTime: 8153
  226. Sat Nov 18 04:24:01 2023 elapsed time 02:15:53
  227. Sat Nov 18 08:45:23 2023
  228. Sat Nov 18 08:45:23 2023
  229. Sat Nov 18 08:45:23 2023 Msieve v. 1.54 (SVN Unversioned directory)
  230. Sat Nov 18 08:45:23 2023 random seeds: bc86da45 60b7aa52
  231. Sat Nov 18 08:45:23 2023 MPI process 0 of 1
  232. Sat Nov 18 08:45:23 2023 Using 32 OpenMP threads
  233. Sat Nov 18 08:45:23 2023 factoring 1646865672752152320005212480428247865026169187942414893904748987457908207950485928061363618603170598204722227886980403774014769210795690379747757556431321574510433072943310783094038241 (184 digits)
  234. Sat Nov 18 08:45:24 2023 no P-1/P+1/ECM available, skipping
  235. Sat Nov 18 08:45:24 2023 commencing number field sieve (184-digit input)
  236. Sat Nov 18 08:45:24 2023 R0: -198319705559526795382452790733551293
  237. Sat Nov 18 08:45:24 2023 R1: 16633919427688952847073817
  238. Sat Nov 18 08:45:24 2023 A0: -2517451553961895942310636471422614563076600
  239. Sat Nov 18 08:45:24 2023 A1: -2383556519710431980862093338180432732
  240. Sat Nov 18 08:45:24 2023 A2: 146266986874113182683807280472
  241. Sat Nov 18 08:45:24 2023 A3: 8144786822778065699774
  242. Sat Nov 18 08:45:24 2023 A4: 182051431698585
  243. Sat Nov 18 08:45:24 2023 A5: 80507700
  244. Sat Nov 18 08:45:24 2023 skew 9795914.95, size 5.574e-18, alpha -8.013, combined = 5.044e-14 rroots = 3
  245. Sat Nov 18 08:45:24 2023
  246. Sat Nov 18 08:45:24 2023 commencing square root phase
  247. Sat Nov 18 08:45:24 2023 reading relations for dependency 1
  248. Sat Nov 18 08:45:27 2023 read 10780189 cycles
  249. Sat Nov 18 08:45:45 2023 cycles contain 38172486 unique relations
  250. Sat Nov 18 08:46:25 2023 read 38172486 relations
  251. Sat Nov 18 08:49:10 2023 multiplying 38172486 relations
  252. Sat Nov 18 08:53:36 2023 multiply complete, coefficients have about 2460.28 million bits
  253. Sat Nov 18 08:53:43 2023 initial square root is modulo 329677
  254. Sat Nov 18 09:09:26 2023 sqrtTime: 1442
  255. Sat Nov 18 09:09:26 2023 p78 factor: 221972309058521932169932250791331970579224948552712735056159862901214703419143
  256. Sat Nov 18 09:09:26 2023 p106 factor: 7419239272399351860386153415615413124761868850425666437185815981201243460155197174400554462650491109609687
  257. Sat Nov 18 09:09:26 2023 elapsed time 00:24:03
  258.  
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