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gchilders

2,2694M

Aug 31st, 2022
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  1. Wed Aug 31 01:32:05 2022
  2. Wed Aug 31 01:32:05 2022
  3. Wed Aug 31 01:32:05 2022 Msieve v. 1.54 (SVN unknown)
  4. Wed Aug 31 01:32:05 2022 random seeds: c2a3e84c e934383a
  5. Wed Aug 31 01:32:05 2022 MPI process 0 of 1
  6. Wed Aug 31 01:32:05 2022 factoring 139509877596603485375566104232711132933505090002104860193106340622036083417378999487597616101577321202438219965668565622839544621355235792839908741220494879663844102714143032594102986041297412959583752893 (204 digits)
  7. Wed Aug 31 01:32:06 2022 no P-1/P+1/ECM available, skipping
  8. Wed Aug 31 01:32:06 2022 commencing number field sieve (204-digit input)
  9. Wed Aug 31 01:32:06 2022 R0: -1451922468657824185772706003114868962388
  10. Wed Aug 31 01:32:06 2022 R1: 7163482532229254165527
  11. Wed Aug 31 01:32:06 2022 A0: -1706139539531807653851871477957888205142905926320
  12. Wed Aug 31 01:32:06 2022 A1: 139235316610034246473781302737266342426701
  13. Wed Aug 31 01:32:06 2022 A2: -531123032125034255056000003330756
  14. Wed Aug 31 01:32:06 2022 A3: -15895143122123067849893729
  15. Wed Aug 31 01:32:06 2022 A4: -49142111429646456
  16. Wed Aug 31 01:32:06 2022 A5: 86486400
  17. Wed Aug 31 01:32:06 2022 skew 177390020.76, size 6.613e-20, alpha -9.233, combined = 3.214e-15 rroots = 3
  18. Wed Aug 31 01:32:06 2022
  19. Wed Aug 31 01:32:06 2022 commencing relation filtering
  20. Wed Aug 31 01:32:06 2022 setting target matrix density to 100.0
  21. Wed Aug 31 01:32:06 2022 estimated available RAM is 257667.4 MB
  22. Wed Aug 31 01:32:06 2022 commencing duplicate removal, pass 1
  23. Wed Aug 31 01:37:10 2022 skipped 4 relations with b > 2^32
  24. Wed Aug 31 01:37:10 2022 skipped 638 relations with composite factors
  25. Wed Aug 31 01:37:10 2022 found 80067832 hash collisions in 644969774 relations
  26. Wed Aug 31 01:37:31 2022 added 122037 free relations
  27. Wed Aug 31 01:37:31 2022 commencing duplicate removal, pass 2
  28. Wed Aug 31 01:40:38 2022 found 82 duplicates and 645091729 unique relations
  29. Wed Aug 31 01:40:38 2022 memory use: 4262.0 MB
  30. Wed Aug 31 01:40:38 2022 reading ideals above 720000
  31. Wed Aug 31 01:40:38 2022 commencing singleton removal, initial pass
  32. Wed Aug 31 02:07:34 2022 memory use: 11024.0 MB
  33. Wed Aug 31 02:07:34 2022 reading all ideals from disk
  34. Wed Aug 31 02:07:43 2022 memory use: 33772.7 MB
  35. Wed Aug 31 02:08:15 2022 keeping 639462364 ideals with weight <= 200, target excess is 3456463
  36. Wed Aug 31 02:09:02 2022 commencing in-memory singleton removal
  37. Wed Aug 31 02:09:06 2022 begin with 645091729 relations and 639462364 unique ideals
  38. Wed Aug 31 02:09:51 2022 reduce to 372758021 relations and 335427726 ideals in 18 passes
  39. Wed Aug 31 02:09:51 2022 max relations containing the same ideal: 147
  40. Wed Aug 31 02:11:12 2022 removing 18769391 relations and 16769391 ideals in 2000000 cliques
  41. Wed Aug 31 02:11:20 2022 commencing in-memory singleton removal
  42. Wed Aug 31 02:11:23 2022 begin with 353988630 relations and 335427726 unique ideals
  43. Wed Aug 31 02:11:43 2022 reduce to 353192304 relations and 317855554 ideals in 10 passes
  44. Wed Aug 31 02:11:43 2022 max relations containing the same ideal: 144
  45. Wed Aug 31 02:13:01 2022 removing 13954520 relations and 11954520 ideals in 2000000 cliques
  46. Wed Aug 31 02:13:08 2022 commencing in-memory singleton removal
  47. Wed Aug 31 02:13:10 2022 begin with 339237784 relations and 317855554 unique ideals
  48. Wed Aug 31 02:13:32 2022 reduce to 338754607 relations and 305414742 ideals in 11 passes
  49. Wed Aug 31 02:13:32 2022 max relations containing the same ideal: 139
  50. Wed Aug 31 02:14:43 2022 removing 12440090 relations and 10440090 ideals in 2000000 cliques
  51. Wed Aug 31 02:14:50 2022 commencing in-memory singleton removal
  52. Wed Aug 31 02:14:52 2022 begin with 326314517 relations and 305414742 unique ideals
  53. Wed Aug 31 02:15:07 2022 reduce to 325912299 relations and 294569879 ideals in 8 passes
  54. Wed Aug 31 02:15:07 2022 max relations containing the same ideal: 136
  55. Wed Aug 31 02:16:15 2022 removing 11609431 relations and 9609431 ideals in 2000000 cliques
  56. Wed Aug 31 02:16:21 2022 commencing in-memory singleton removal
  57. Wed Aug 31 02:16:24 2022 begin with 314302868 relations and 294569879 unique ideals
  58. Wed Aug 31 02:16:40 2022 reduce to 313937169 relations and 284592393 ideals in 9 passes
  59. Wed Aug 31 02:16:40 2022 max relations containing the same ideal: 133
  60. Wed Aug 31 02:17:45 2022 removing 11064066 relations and 9064066 ideals in 2000000 cliques
  61. Wed Aug 31 02:17:52 2022 commencing in-memory singleton removal
  62. Wed Aug 31 02:17:54 2022 begin with 302873103 relations and 284592393 unique ideals
  63. Wed Aug 31 02:18:08 2022 reduce to 302526246 relations and 275179350 ideals in 8 passes
  64. Wed Aug 31 02:18:08 2022 max relations containing the same ideal: 129
  65. Wed Aug 31 02:19:11 2022 removing 10674065 relations and 8674065 ideals in 2000000 cliques
  66. Wed Aug 31 02:19:17 2022 commencing in-memory singleton removal
  67. Wed Aug 31 02:19:19 2022 begin with 291852181 relations and 275179350 unique ideals
  68. Wed Aug 31 02:19:34 2022 reduce to 291518034 relations and 266169096 ideals in 8 passes
  69. Wed Aug 31 02:19:34 2022 max relations containing the same ideal: 124
  70. Wed Aug 31 02:20:36 2022 removing 10394024 relations and 8394024 ideals in 2000000 cliques
  71. Wed Aug 31 02:20:42 2022 commencing in-memory singleton removal
  72. Wed Aug 31 02:20:44 2022 begin with 281124010 relations and 266169096 unique ideals
  73. Wed Aug 31 02:20:59 2022 reduce to 280793737 relations and 257442687 ideals in 9 passes
  74. Wed Aug 31 02:20:59 2022 max relations containing the same ideal: 121
  75. Wed Aug 31 02:21:59 2022 removing 10185911 relations and 8185911 ideals in 2000000 cliques
  76. Wed Aug 31 02:22:05 2022 commencing in-memory singleton removal
  77. Wed Aug 31 02:22:06 2022 begin with 270607826 relations and 257442687 unique ideals
  78. Wed Aug 31 02:22:18 2022 reduce to 270281032 relations and 248927908 ideals in 7 passes
  79. Wed Aug 31 02:22:18 2022 max relations containing the same ideal: 119
  80. Wed Aug 31 02:23:16 2022 removing 10022786 relations and 8022786 ideals in 2000000 cliques
  81. Wed Aug 31 02:23:22 2022 commencing in-memory singleton removal
  82. Wed Aug 31 02:23:23 2022 begin with 260258246 relations and 248927908 unique ideals
  83. Wed Aug 31 02:23:35 2022 reduce to 259926123 relations and 240570887 ideals in 7 passes
  84. Wed Aug 31 02:23:35 2022 max relations containing the same ideal: 116
  85. Wed Aug 31 02:24:33 2022 removing 9913660 relations and 7913660 ideals in 2000000 cliques
  86. Wed Aug 31 02:24:38 2022 commencing in-memory singleton removal
  87. Wed Aug 31 02:24:40 2022 begin with 250012463 relations and 240570887 unique ideals
  88. Wed Aug 31 02:24:50 2022 reduce to 249675288 relations and 232317781 ideals in 7 passes
  89. Wed Aug 31 02:24:50 2022 max relations containing the same ideal: 111
  90. Wed Aug 31 02:25:45 2022 removing 9825319 relations and 7825319 ideals in 2000000 cliques
  91. Wed Aug 31 02:25:50 2022 commencing in-memory singleton removal
  92. Wed Aug 31 02:25:52 2022 begin with 239849969 relations and 232317781 unique ideals
  93. Wed Aug 31 02:26:05 2022 reduce to 239505748 relations and 224145828 ideals in 9 passes
  94. Wed Aug 31 02:26:05 2022 max relations containing the same ideal: 109
  95. Wed Aug 31 02:27:01 2022 removing 9768885 relations and 7768885 ideals in 2000000 cliques
  96. Wed Aug 31 02:27:06 2022 commencing in-memory singleton removal
  97. Wed Aug 31 02:27:08 2022 begin with 229736863 relations and 224145828 unique ideals
  98. Wed Aug 31 02:27:19 2022 reduce to 229382766 relations and 216020125 ideals in 8 passes
  99. Wed Aug 31 02:27:19 2022 max relations containing the same ideal: 109
  100. Wed Aug 31 02:28:11 2022 removing 9737728 relations and 7737728 ideals in 2000000 cliques
  101. Wed Aug 31 02:28:16 2022 commencing in-memory singleton removal
  102. Wed Aug 31 02:28:17 2022 begin with 219645038 relations and 216020125 unique ideals
  103. Wed Aug 31 02:28:28 2022 reduce to 219276983 relations and 207911432 ideals in 8 passes
  104. Wed Aug 31 02:28:28 2022 max relations containing the same ideal: 102
  105. Wed Aug 31 02:29:15 2022 removing 9742008 relations and 7742008 ideals in 2000000 cliques
  106. Wed Aug 31 02:29:20 2022 commencing in-memory singleton removal
  107. Wed Aug 31 02:29:21 2022 begin with 209534975 relations and 207911432 unique ideals
  108. Wed Aug 31 02:29:32 2022 reduce to 209147751 relations and 199779128 ideals in 8 passes
  109. Wed Aug 31 02:29:32 2022 max relations containing the same ideal: 98
  110. Wed Aug 31 02:30:20 2022 removing 9758917 relations and 7758917 ideals in 2000000 cliques
  111. Wed Aug 31 02:30:25 2022 commencing in-memory singleton removal
  112. Wed Aug 31 02:30:26 2022 begin with 199388834 relations and 199779128 unique ideals
  113. Wed Aug 31 02:30:36 2022 reduce to 198978690 relations and 191606678 ideals in 8 passes
  114. Wed Aug 31 02:30:36 2022 max relations containing the same ideal: 96
  115. Wed Aug 31 02:31:21 2022 removing 9799378 relations and 7799378 ideals in 2000000 cliques
  116. Wed Aug 31 02:31:26 2022 commencing in-memory singleton removal
  117. Wed Aug 31 02:31:27 2022 begin with 189179312 relations and 191606678 unique ideals
  118. Wed Aug 31 02:31:37 2022 reduce to 188742764 relations and 183366991 ideals in 9 passes
  119. Wed Aug 31 02:31:37 2022 max relations containing the same ideal: 95
  120. Wed Aug 31 02:32:20 2022 removing 7237215 relations and 5870940 ideals in 1366275 cliques
  121. Wed Aug 31 02:32:24 2022 commencing in-memory singleton removal
  122. Wed Aug 31 02:32:25 2022 begin with 181505549 relations and 183366991 unique ideals
  123. Wed Aug 31 02:32:34 2022 reduce to 181263527 relations and 177252454 ideals in 8 passes
  124. Wed Aug 31 02:32:34 2022 max relations containing the same ideal: 92
  125. Wed Aug 31 02:33:37 2022 relations with 0 large ideals: 12027
  126. Wed Aug 31 02:33:37 2022 relations with 1 large ideals: 64652
  127. Wed Aug 31 02:33:37 2022 relations with 2 large ideals: 900743
  128. Wed Aug 31 02:33:37 2022 relations with 3 large ideals: 5555846
  129. Wed Aug 31 02:33:37 2022 relations with 4 large ideals: 18881709
  130. Wed Aug 31 02:33:37 2022 relations with 5 large ideals: 38774382
  131. Wed Aug 31 02:33:37 2022 relations with 6 large ideals: 49823012
  132. Wed Aug 31 02:33:37 2022 relations with 7+ large ideals: 67251156
  133. Wed Aug 31 02:33:37 2022 commencing 2-way merge
  134. Wed Aug 31 02:34:44 2022 reduce to 112582717 relation sets and 108571644 unique ideals
  135. Wed Aug 31 02:34:44 2022 commencing full merge
  136. Wed Aug 31 02:56:48 2022 memory use: 12135.9 MB
  137. Wed Aug 31 02:56:59 2022 found 53827617 cycles, need 53301844
  138. Wed Aug 31 02:57:13 2022 weight of 53301844 cycles is about 5330428210 (100.00/cycle)
  139. Wed Aug 31 02:57:13 2022 distribution of cycle lengths:
  140. Wed Aug 31 02:57:13 2022 1 relations: 5642581
  141. Wed Aug 31 02:57:13 2022 2 relations: 5134245
  142. Wed Aug 31 02:57:13 2022 3 relations: 5225762
  143. Wed Aug 31 02:57:13 2022 4 relations: 5020683
  144. Wed Aug 31 02:57:13 2022 5 relations: 4678347
  145. Wed Aug 31 02:57:13 2022 6 relations: 4330030
  146. Wed Aug 31 02:57:13 2022 7 relations: 3895237
  147. Wed Aug 31 02:57:13 2022 8 relations: 3529353
  148. Wed Aug 31 02:57:13 2022 9 relations: 3117710
  149. Wed Aug 31 02:57:13 2022 10+ relations: 12727896
  150. Wed Aug 31 02:57:13 2022 heaviest cycle: 22 relations
  151. Wed Aug 31 02:57:20 2022 commencing cycle optimization
  152. Wed Aug 31 02:58:28 2022 start with 347665875 relations
  153. Wed Aug 31 03:05:04 2022 pruned 9818221 relations
  154. Wed Aug 31 03:05:07 2022 memory use: 10950.1 MB
  155. Wed Aug 31 03:05:07 2022 distribution of cycle lengths:
  156. Wed Aug 31 03:05:07 2022 1 relations: 5642581
  157. Wed Aug 31 03:05:07 2022 2 relations: 5268307
  158. Wed Aug 31 03:05:07 2022 3 relations: 5429349
  159. Wed Aug 31 03:05:07 2022 4 relations: 5163987
  160. Wed Aug 31 03:05:07 2022 5 relations: 4823850
  161. Wed Aug 31 03:05:07 2022 6 relations: 4424078
  162. Wed Aug 31 03:05:07 2022 7 relations: 3980081
  163. Wed Aug 31 03:05:07 2022 8 relations: 3571631
  164. Wed Aug 31 03:05:07 2022 9 relations: 3135274
  165. Wed Aug 31 03:05:07 2022 10+ relations: 11862706
  166. Wed Aug 31 03:05:07 2022 heaviest cycle: 22 relations
  167. Wed Aug 31 03:06:04 2022 RelProcTime: 5638
  168. Wed Aug 31 03:06:12 2022 elapsed time 01:34:07
  169. Wed Aug 31 03:07:57 2022
  170. Wed Aug 31 03:07:57 2022
  171. Wed Aug 31 03:07:57 2022 Msieve v. 1.54 (SVN unknown)
  172. Wed Aug 31 03:07:57 2022 random seeds: bded1f1b 8bedbee1
  173. Wed Aug 31 03:07:57 2022 MPI process 0 of 8
  174. Wed Aug 31 03:07:57 2022 factoring 139509877596603485375566104232711132933505090002104860193106340622036083417378999487597616101577321202438219965668565622839544621355235792839908741220494879663844102714143032594102986041297412959583752893 (204 digits)
  175. Wed Aug 31 03:07:58 2022 no P-1/P+1/ECM available, skipping
  176. Wed Aug 31 03:07:58 2022 commencing number field sieve (204-digit input)
  177. Wed Aug 31 03:07:58 2022 R0: -1451922468657824185772706003114868962388
  178. Wed Aug 31 03:07:58 2022 R1: 7163482532229254165527
  179. Wed Aug 31 03:07:58 2022 A0: -1706139539531807653851871477957888205142905926320
  180. Wed Aug 31 03:07:58 2022 A1: 139235316610034246473781302737266342426701
  181. Wed Aug 31 03:07:58 2022 A2: -531123032125034255056000003330756
  182. Wed Aug 31 03:07:58 2022 A3: -15895143122123067849893729
  183. Wed Aug 31 03:07:58 2022 A4: -49142111429646456
  184. Wed Aug 31 03:07:58 2022 A5: 86486400
  185. Wed Aug 31 03:07:58 2022 skew 177390020.76, size 6.613e-20, alpha -9.233, combined = 3.214e-15 rroots = 3
  186. Wed Aug 31 03:07:58 2022
  187. Wed Aug 31 03:07:58 2022 commencing linear algebra
  188. Wed Aug 31 03:07:58 2022 using VBITS=256
  189. Wed Aug 31 03:07:58 2022 initialized process (0,0) of 2 x 4 grid
  190. Wed Aug 31 03:08:02 2022 read 53301844 cycles
  191. Wed Aug 31 03:09:15 2022 cycles contain 178598614 unique relations
  192. Wed Aug 31 03:11:50 2022 read 178598614 relations
  193. Wed Aug 31 03:12:39 2022 using 20 quadratic characters above 4294917295
  194. Wed Aug 31 03:13:55 2022 building initial matrix
  195. Wed Aug 31 03:42:44 2022 memory use: 25740.8 MB
  196. Wed Aug 31 03:43:07 2022 read 53301844 cycles
  197. Wed Aug 31 03:43:16 2022 matrix is 53301664 x 53301844 (21872.8 MB) with weight 6755016049 (126.73/col)
  198. Wed Aug 31 03:43:16 2022 sparse part has weight 5094213527 (95.57/col)
  199. Wed Aug 31 03:50:32 2022 filtering completed in 2 passes
  200. Wed Aug 31 03:50:42 2022 matrix is 53277844 x 53278022 (21870.8 MB) with weight 6754021928 (126.77/col)
  201. Wed Aug 31 03:50:42 2022 sparse part has weight 5093969761 (95.61/col)
  202. Wed Aug 31 03:52:27 2022 matrix starts at (0, 0)
  203. Wed Aug 31 03:52:28 2022 matrix is 26639042 x 11987760 (3159.7 MB) with weight 1050837684 (87.66/col)
  204. Wed Aug 31 03:52:28 2022 sparse part has weight 684436007 (57.09/col)
  205. Wed Aug 31 03:52:28 2022 saving the first 240 matrix rows for later
  206. Wed Aug 31 03:52:29 2022 matrix includes 256 packed rows
  207. Wed Aug 31 03:52:35 2022 matrix is 26638802 x 11987760 (2774.3 MB) with weight 589290909 (49.16/col)
  208. Wed Aug 31 03:52:35 2022 sparse part has weight 535466161 (44.67/col)
  209. Wed Aug 31 03:52:35 2022 using GPU 0 (NVIDIA A100-SXM4-40GB)
  210. Wed Aug 31 03:52:35 2022 selected card has CUDA arch 8.0
  211. Wed Aug 31 03:53:04 2022 commencing Lanczos iteration
  212. Wed Aug 31 03:53:05 2022 memory use: 7321.9 MB
  213. Wed Aug 31 03:53:19 2022 linear algebra at 0.1%, ETA 6h45m
  214. Wed Aug 31 03:53:40 2022 checking every 40000 dimensions, checkpointing every 160000 dimensions
  215. Wed Aug 31 11:14:32 2022 lanczos halted after 208741 iterations (dim = 53277603)
  216. Wed Aug 31 11:17:12 2022 recovered 30 nontrivial dependencies
  217. Wed Aug 31 11:17:12 2022 BLanczosTime: 29354
  218. Wed Aug 31 11:17:12 2022 elapsed time 08:09:15
  219. Wed Aug 31 11:17:17 2022
  220. Wed Aug 31 11:17:17 2022
  221. Wed Aug 31 11:17:17 2022 Msieve v. 1.54 (SVN unknown)
  222. Wed Aug 31 11:17:17 2022 random seeds: 65b3aa90 cd7b455a
  223. Wed Aug 31 11:17:17 2022 MPI process 0 of 1
  224. Wed Aug 31 11:17:17 2022 factoring 139509877596603485375566104232711132933505090002104860193106340622036083417378999487597616101577321202438219965668565622839544621355235792839908741220494879663844102714143032594102986041297412959583752893 (204 digits)
  225. Wed Aug 31 11:17:18 2022 no P-1/P+1/ECM available, skipping
  226. Wed Aug 31 11:17:18 2022 commencing number field sieve (204-digit input)
  227. Wed Aug 31 11:17:18 2022 R0: -1451922468657824185772706003114868962388
  228. Wed Aug 31 11:17:18 2022 R1: 7163482532229254165527
  229. Wed Aug 31 11:17:18 2022 A0: -1706139539531807653851871477957888205142905926320
  230. Wed Aug 31 11:17:18 2022 A1: 139235316610034246473781302737266342426701
  231. Wed Aug 31 11:17:18 2022 A2: -531123032125034255056000003330756
  232. Wed Aug 31 11:17:18 2022 A3: -15895143122123067849893729
  233. Wed Aug 31 11:17:18 2022 A4: -49142111429646456
  234. Wed Aug 31 11:17:18 2022 A5: 86486400
  235. Wed Aug 31 11:17:18 2022 skew 177390020.76, size 6.613e-20, alpha -9.233, combined = 3.214e-15 rroots = 3
  236. Wed Aug 31 11:17:18 2022
  237. Wed Aug 31 11:17:18 2022 commencing square root phase
  238. Wed Aug 31 11:17:18 2022 reading relations for dependency 1
  239. Wed Aug 31 11:17:21 2022 read 26641556 cycles
  240. Wed Aug 31 11:17:58 2022 cycles contain 89308860 unique relations
  241. Wed Aug 31 11:19:30 2022 read 89308860 relations
  242. Wed Aug 31 11:25:07 2022 multiplying 89308860 relations
  243. Wed Aug 31 11:35:50 2022 multiply complete, coefficients have about 6164.13 million bits
  244. Wed Aug 31 11:36:07 2022 initial square root is modulo 8177441
  245. Wed Aug 31 12:14:13 2022 GCD is 1, no factor found
  246. Wed Aug 31 12:14:13 2022 reading relations for dependency 2
  247. Wed Aug 31 12:14:16 2022 read 26643297 cycles
  248. Wed Aug 31 12:14:55 2022 cycles contain 89311300 unique relations
  249. Wed Aug 31 12:15:48 2022 read 89311300 relations
  250. Wed Aug 31 12:21:34 2022 multiplying 89311300 relations
  251. Wed Aug 31 12:32:11 2022 multiply complete, coefficients have about 6164.30 million bits
  252. Wed Aug 31 12:32:26 2022 initial square root is modulo 8181193
  253. Wed Aug 31 13:11:10 2022 sqrtTime: 6832
  254. Wed Aug 31 13:11:10 2022 p96 factor: 296587805568790532423943880702773663128965022420356822135041418366405721153900170859013675716977
  255. Wed Aug 31 13:11:10 2022 p108 factor: 470383053440292523039042932751108442745913149143600396628575808402461588054033538445343507415092314119991309
  256. Wed Aug 31 13:11:10 2022 elapsed time 01:53:53
  257.  
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