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Dec 20th, 2021
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  1. Fri Dec 17 19:46:49 2021
  2. Fri Dec 17 19:46:49 2021
  3. Fri Dec 17 19:46:49 2021 Msieve v. 1.54 (SVN 1043M)
  4. Fri Dec 17 19:46:49 2021 random seeds: b7d7d480 bf704451
  5. Fri Dec 17 19:46:49 2021 factoring 883585869759271473404390609534442148948603475096519015682562327129985286835115087141389517068660197722487262499239384364148679103535958366775083262671211970526603 (162 digits)
  6. Fri Dec 17 19:46:50 2021 searching for 15-digit factors
  7. Fri Dec 17 19:46:50 2021 commencing number field sieve (162-digit input)
  8. Fri Dec 17 19:46:50 2021 R0: -22259109638141483403825964007279
  9. Fri Dec 17 19:46:50 2021 R1: 179909578661155303
  10. Fri Dec 17 19:46:50 2021 A0: -190639353936635619087747280812770725200
  11. Fri Dec 17 19:46:50 2021 A1: 67759022893645466361194556645921
  12. Fri Dec 17 19:46:50 2021 A2: 142819254211123485237095053
  13. Fri Dec 17 19:46:50 2021 A3: -18593038347735909305
  14. Fri Dec 17 19:46:50 2021 A4: -9256372317644
  15. Fri Dec 17 19:46:50 2021 A5: 161700
  16. Fri Dec 17 19:46:50 2021 skew 4288726.19, size 7.969e-16, alpha -6.346, combined = 9.890e-13 rroots = 5
  17. Fri Dec 17 19:46:50 2021
  18. Fri Dec 17 19:46:50 2021 commencing relation filtering
  19. Fri Dec 17 19:46:50 2021 setting target matrix density to 140.0
  20. Fri Dec 17 19:46:50 2021 estimated available RAM is 31368.2 MB
  21. Fri Dec 17 19:46:50 2021 commencing duplicate removal, pass 1
  22. Fri Dec 17 20:13:43 2021 found 4992689 hash collisions in 106995502 relations
  23. Fri Dec 17 20:14:12 2021 added 122339 free relations
  24. Fri Dec 17 20:14:13 2021 commencing duplicate removal, pass 2
  25. Fri Dec 17 20:29:22 2021 found 1 duplicates and 107117840 unique relations
  26. Fri Dec 17 20:29:22 2021 memory use: 261.2 MB
  27. Fri Dec 17 20:29:22 2021 reading ideals above 720000
  28. Fri Dec 17 20:29:22 2021 commencing singleton removal, initial pass
  29. Fri Dec 17 20:56:41 2021 memory use: 2756.0 MB
  30. Fri Dec 17 20:56:41 2021 reading all ideals from disk
  31. Fri Dec 17 20:57:41 2021 memory use: 4042.2 MB
  32. Fri Dec 17 20:57:52 2021 keeping 92160314 ideals with weight <= 200, target excess is 568187
  33. Fri Dec 17 20:58:07 2021 commencing in-memory singleton removal
  34. Fri Dec 17 20:58:16 2021 begin with 107117840 relations and 92160314 unique ideals
  35. Fri Dec 17 21:00:03 2021 reduce to 75164712 relations and 57392272 ideals in 13 passes
  36. Fri Dec 17 21:00:03 2021 max relations containing the same ideal: 168
  37. Fri Dec 17 21:00:43 2021 removing 8247405 relations and 6247405 ideals in 2000000 cliques
  38. Fri Dec 17 21:00:47 2021 commencing in-memory singleton removal
  39. Fri Dec 17 21:00:54 2021 begin with 66917307 relations and 57392272 unique ideals
  40. Fri Dec 17 21:01:56 2021 reduce to 66222072 relations and 50427202 ideals in 8 passes
  41. Fri Dec 17 21:01:56 2021 max relations containing the same ideal: 157
  42. Fri Dec 17 21:02:30 2021 removing 6531527 relations and 4531527 ideals in 2000000 cliques
  43. Fri Dec 17 21:02:33 2021 commencing in-memory singleton removal
  44. Fri Dec 17 21:02:38 2021 begin with 59690545 relations and 50427202 unique ideals
  45. Fri Dec 17 21:03:20 2021 reduce to 59206285 relations and 45397059 ideals in 7 passes
  46. Fri Dec 17 21:03:20 2021 max relations containing the same ideal: 145
  47. Fri Dec 17 21:03:52 2021 removing 6080289 relations and 4080289 ideals in 2000000 cliques
  48. Fri Dec 17 21:03:56 2021 commencing in-memory singleton removal
  49. Fri Dec 17 21:04:00 2021 begin with 53125996 relations and 45397059 unique ideals
  50. Fri Dec 17 21:04:39 2021 reduce to 52691676 relations and 40869100 ideals in 7 passes
  51. Fri Dec 17 21:04:39 2021 max relations containing the same ideal: 133
  52. Fri Dec 17 21:05:04 2021 removing 5846749 relations and 3846749 ideals in 2000000 cliques
  53. Fri Dec 17 21:05:07 2021 commencing in-memory singleton removal
  54. Fri Dec 17 21:05:11 2021 begin with 46844927 relations and 40869100 unique ideals
  55. Fri Dec 17 21:05:41 2021 reduce to 46422282 relations and 36585876 ideals in 7 passes
  56. Fri Dec 17 21:05:41 2021 max relations containing the same ideal: 124
  57. Fri Dec 17 21:06:04 2021 removing 5703818 relations and 3703818 ideals in 2000000 cliques
  58. Fri Dec 17 21:06:06 2021 commencing in-memory singleton removal
  59. Fri Dec 17 21:06:10 2021 begin with 40718464 relations and 36585876 unique ideals
  60. Fri Dec 17 21:06:35 2021 reduce to 40287150 relations and 32434865 ideals in 7 passes
  61. Fri Dec 17 21:06:35 2021 max relations containing the same ideal: 112
  62. Fri Dec 17 21:06:54 2021 removing 5603991 relations and 3603991 ideals in 2000000 cliques
  63. Fri Dec 17 21:06:57 2021 commencing in-memory singleton removal
  64. Fri Dec 17 21:07:00 2021 begin with 34683159 relations and 32434865 unique ideals
  65. Fri Dec 17 21:07:27 2021 reduce to 34226130 relations and 28354935 ideals in 8 passes
  66. Fri Dec 17 21:07:27 2021 max relations containing the same ideal: 101
  67. Fri Dec 17 21:07:44 2021 removing 5535574 relations and 3535574 ideals in 2000000 cliques
  68. Fri Dec 17 21:07:47 2021 commencing in-memory singleton removal
  69. Fri Dec 17 21:07:49 2021 begin with 28690556 relations and 28354935 unique ideals
  70. Fri Dec 17 21:08:08 2021 reduce to 28187591 relations and 24292064 ideals in 7 passes
  71. Fri Dec 17 21:08:08 2021 max relations containing the same ideal: 87
  72. Fri Dec 17 21:08:22 2021 removing 5481983 relations and 3481983 ideals in 2000000 cliques
  73. Fri Dec 17 21:08:24 2021 commencing in-memory singleton removal
  74. Fri Dec 17 21:08:26 2021 begin with 22705608 relations and 24292064 unique ideals
  75. Fri Dec 17 21:08:39 2021 reduce to 22112481 relations and 20181959 ideals in 7 passes
  76. Fri Dec 17 21:08:39 2021 max relations containing the same ideal: 74
  77. Fri Dec 17 21:08:50 2021 removing 3734024 relations and 2462599 ideals in 1271425 cliques
  78. Fri Dec 17 21:08:51 2021 commencing in-memory singleton removal
  79. Fri Dec 17 21:08:53 2021 begin with 18378457 relations and 20181959 unique ideals
  80. Fri Dec 17 21:09:04 2021 reduce to 17967120 relations and 17287476 ideals in 8 passes
  81. Fri Dec 17 21:09:04 2021 max relations containing the same ideal: 65
  82. Fri Dec 17 21:09:13 2021 removing 119111 relations and 98564 ideals in 20547 cliques
  83. Fri Dec 17 21:09:14 2021 commencing in-memory singleton removal
  84. Fri Dec 17 21:09:15 2021 begin with 17848009 relations and 17287476 unique ideals
  85. Fri Dec 17 21:09:21 2021 reduce to 17847409 relations and 17188311 ideals in 4 passes
  86. Fri Dec 17 21:09:21 2021 max relations containing the same ideal: 65
  87. Fri Dec 17 21:09:25 2021 relations with 0 large ideals: 1847
  88. Fri Dec 17 21:09:25 2021 relations with 1 large ideals: 12418
  89. Fri Dec 17 21:09:25 2021 relations with 2 large ideals: 162497
  90. Fri Dec 17 21:09:25 2021 relations with 3 large ideals: 900412
  91. Fri Dec 17 21:09:25 2021 relations with 4 large ideals: 2635633
  92. Fri Dec 17 21:09:25 2021 relations with 5 large ideals: 4506231
  93. Fri Dec 17 21:09:25 2021 relations with 6 large ideals: 4790425
  94. Fri Dec 17 21:09:25 2021 relations with 7+ large ideals: 4837946
  95. Fri Dec 17 21:09:25 2021 commencing 2-way merge
  96. Fri Dec 17 21:09:37 2021 reduce to 12242324 relation sets and 11583226 unique ideals
  97. Fri Dec 17 21:09:37 2021 commencing full merge
  98. Fri Dec 17 21:14:33 2021 memory use: 1468.2 MB
  99. Fri Dec 17 21:14:34 2021 found 5216284 cycles, need 5213426
  100. Fri Dec 17 21:14:36 2021 weight of 5213426 cycles is about 730471611 (140.11/cycle)
  101. Fri Dec 17 21:14:36 2021 distribution of cycle lengths:
  102. Fri Dec 17 21:14:36 2021 1 relations: 80804
  103. Fri Dec 17 21:14:36 2021 2 relations: 212587
  104. Fri Dec 17 21:14:36 2021 3 relations: 285798
  105. Fri Dec 17 21:14:36 2021 4 relations: 320718
  106. Fri Dec 17 21:14:36 2021 5 relations: 352456
  107. Fri Dec 17 21:14:36 2021 6 relations: 366615
  108. Fri Dec 17 21:14:36 2021 7 relations: 371142
  109. Fri Dec 17 21:14:36 2021 8 relations: 363906
  110. Fri Dec 17 21:14:36 2021 9 relations: 351801
  111. Fri Dec 17 21:14:36 2021 10+ relations: 2507599
  112. Fri Dec 17 21:14:36 2021 heaviest cycle: 28 relations
  113. Fri Dec 17 21:14:38 2021 commencing cycle optimization
  114. Fri Dec 17 21:14:51 2021 start with 52956576 relations
  115. Fri Dec 17 21:17:32 2021 pruned 3188188 relations
  116. Fri Dec 17 21:17:32 2021 memory use: 1282.5 MB
  117. Fri Dec 17 21:17:32 2021 distribution of cycle lengths:
  118. Fri Dec 17 21:17:32 2021 1 relations: 80804
  119. Fri Dec 17 21:17:32 2021 2 relations: 219590
  120. Fri Dec 17 21:17:32 2021 3 relations: 300786
  121. Fri Dec 17 21:17:32 2021 4 relations: 338489
  122. Fri Dec 17 21:17:32 2021 5 relations: 376565
  123. Fri Dec 17 21:17:32 2021 6 relations: 392124
  124. Fri Dec 17 21:17:32 2021 7 relations: 398964
  125. Fri Dec 17 21:17:32 2021 8 relations: 390754
  126. Fri Dec 17 21:17:32 2021 9 relations: 376653
  127. Fri Dec 17 21:17:32 2021 10+ relations: 2338697
  128. Fri Dec 17 21:17:32 2021 heaviest cycle: 28 relations
  129. Fri Dec 17 21:17:45 2021 RelProcTime: 5455
  130. Fri Dec 17 21:17:45 2021 elapsed time 01:30:56
  131. Fri Dec 17 21:18:34 2021
  132. Fri Dec 17 21:18:34 2021
  133. Fri Dec 17 21:18:34 2021 Msieve v. 1.54 (SVN 1043M)
  134. Fri Dec 17 21:18:34 2021 random seeds: 5ebf5ffc 6d5fd1de
  135. Fri Dec 17 21:18:34 2021 factoring 883585869759271473404390609534442148948603475096519015682562327129985286835115087141389517068660197722487262499239384364148679103535958366775083262671211970526603 (162 digits)
  136. Fri Dec 17 21:18:35 2021 searching for 15-digit factors
  137. Fri Dec 17 21:18:35 2021 commencing number field sieve (162-digit input)
  138. Fri Dec 17 21:18:35 2021 R0: -22259109638141483403825964007279
  139. Fri Dec 17 21:18:35 2021 R1: 179909578661155303
  140. Fri Dec 17 21:18:35 2021 A0: -190639353936635619087747280812770725200
  141. Fri Dec 17 21:18:35 2021 A1: 67759022893645466361194556645921
  142. Fri Dec 17 21:18:35 2021 A2: 142819254211123485237095053
  143. Fri Dec 17 21:18:35 2021 A3: -18593038347735909305
  144. Fri Dec 17 21:18:35 2021 A4: -9256372317644
  145. Fri Dec 17 21:18:35 2021 A5: 161700
  146. Fri Dec 17 21:18:35 2021 skew 4288726.19, size 7.969e-16, alpha -6.346, combined = 9.890e-13 rroots = 5
  147. Fri Dec 17 21:18:35 2021
  148. Fri Dec 17 21:18:35 2021 commencing linear algebra
  149. Fri Dec 17 21:18:35 2021 read 5213426 cycles
  150. Fri Dec 17 21:18:51 2021 cycles contain 17541486 unique relations
  151. Fri Dec 17 21:35:04 2021 read 17541486 relations
  152. Fri Dec 17 21:35:38 2021 using 20 quadratic characters above 4294917295
  153. Fri Dec 17 21:37:08 2021 building initial matrix
  154. Fri Dec 17 21:43:39 2021 memory use: 2499.2 MB
  155. Fri Dec 17 21:46:22 2021 read 5213426 cycles
  156. Fri Dec 17 21:46:23 2021 matrix is 5213249 x 5213426 (2764.4 MB) with weight 845103514 (162.10/col)
  157. Fri Dec 17 21:46:23 2021 sparse part has weight 662114002 (127.00/col)
  158. Fri Dec 17 21:47:39 2021 filtering completed in 2 passes
  159. Fri Dec 17 21:47:40 2021 matrix is 5213234 x 5213411 (2764.4 MB) with weight 845102828 (162.10/col)
  160. Fri Dec 17 21:47:40 2021 sparse part has weight 662113886 (127.00/col)
  161. Fri Dec 17 21:47:59 2021 matrix starts at (0, 0)
  162. Fri Dec 17 21:48:00 2021 matrix is 5213234 x 5213411 (2764.4 MB) with weight 845102828 (162.10/col)
  163. Fri Dec 17 21:48:00 2021 sparse part has weight 662113886 (127.00/col)
  164. Fri Dec 17 21:48:00 2021 saving the first 48 matrix rows for later
  165. Fri Dec 17 21:48:01 2021 matrix includes 64 packed rows
  166. Fri Dec 17 21:48:02 2021 matrix is 5213186 x 5213411 (2702.2 MB) with weight 731037217 (140.22/col)
  167. Fri Dec 17 21:48:02 2021 sparse part has weight 656219755 (125.87/col)
  168. Fri Dec 17 21:48:02 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  169. Fri Dec 17 21:48:24 2021 commencing Lanczos iteration
  170. Fri Dec 17 21:48:24 2021 memory use: 2501.4 MB
  171. Fri Dec 17 21:49:39 2021 linear algebra at 0.0%, ETA 68h56m
  172. Fri Dec 17 21:50:04 2021 checkpointing every 80000 dimensions
  173. Fri Dec 17 21:54:30 2021 lanczos halted after 113 iterations (dim = 7128)
  174. Fri Dec 17 21:54:30 2021 BLanczosTime: 2155
  175. Fri Dec 17 21:54:30 2021 elapsed time 00:35:56
  176.  
  177. Sun Dec 19 10:55:21 2021
  178. Sun Dec 19 10:55:21 2021
  179. Sun Dec 19 10:55:21 2021 Msieve v. 1.54 (SVN unknown)
  180. Sun Dec 19 10:55:21 2021 random seeds: b6a17512 8dad2dda
  181. Sun Dec 19 10:55:21 2021 factoring 883585869759271473404390609534442148948603475096519015682562327129985286835115087141389517068660197722487262499239384364148679103535958366775083262671211970526603 (162 digits)
  182. Sun Dec 19 10:55:21 2021 no P-1/P+1/ECM available, skipping
  183. Sun Dec 19 10:55:21 2021 commencing number field sieve (162-digit input)
  184. Sun Dec 19 10:55:21 2021 R0: -22259109638141483403825964007279
  185. Sun Dec 19 10:55:21 2021 R1: 179909578661155303
  186. Sun Dec 19 10:55:21 2021 A0: -190639353936635619087747280812770725200
  187. Sun Dec 19 10:55:21 2021 A1: 67759022893645466361194556645921
  188. Sun Dec 19 10:55:21 2021 A2: 142819254211123485237095053
  189. Sun Dec 19 10:55:21 2021 A3: -18593038347735909305
  190. Sun Dec 19 10:55:21 2021 A4: -9256372317644
  191. Sun Dec 19 10:55:21 2021 A5: 161700
  192. Sun Dec 19 10:55:21 2021 skew 4288726.19, size 7.969e-16, alpha -6.346, combined = 9.890e-13 rroots = 5
  193. Sun Dec 19 10:55:21 2021
  194. Sun Dec 19 10:55:21 2021 commencing linear algebra
  195. Sun Dec 19 10:55:21 2021 using VBITS=128
  196. Sun Dec 19 10:55:21 2021 skipping matrix build
  197. Sun Dec 19 10:55:24 2021 matrix starts at (0, 0)
  198. Sun Dec 19 10:55:25 2021 matrix is 5213234 x 5213411 (2764.4 MB) with weight 845102828 (162.10/col)
  199. Sun Dec 19 10:55:25 2021 sparse part has weight 662113886 (127.00/col)
  200. Sun Dec 19 10:55:25 2021 saving the first 112 matrix rows for later
  201. Sun Dec 19 10:55:26 2021 matrix includes 128 packed rows
  202. Sun Dec 19 10:55:27 2021 matrix is 5213122 x 5213411 (2557.2 MB) with weight 656219755 (125.87/col)
  203. Sun Dec 19 10:55:27 2021 sparse part has weight 607799372 (116.58/col)
  204. Sun Dec 19 10:55:28 2021 using GPU 0 (Tesla P100-PCIE-16GB)
  205. Sun Dec 19 10:55:28 2021 selected card has CUDA arch 6.0
  206. Sun Dec 19 10:56:21 2021 commencing Lanczos iteration
  207. Sun Dec 19 10:56:21 2021 memory use: 5353.1 MB
  208. Sun Dec 19 10:56:25 2021 linear algebra at 0.0%, ETA 2h50m
  209. Sun Dec 19 10:56:26 2021 checkpointing every 1840000 dimensions
  210. Sun Dec 19 13:31:41 2021 lanczos halted after 40973 iterations (dim = 5213122)
  211. Sun Dec 19 13:31:50 2021 recovered 31 nontrivial dependencies
  212. Sun Dec 19 13:31:50 2021 BLanczosTime: 9389
  213. Sun Dec 19 13:31:50 2021 elapsed time 02:36:29
  214.  
  215. Sun Dec 19 13:35:47 2021
  216. Sun Dec 19 13:35:47 2021
  217. Sun Dec 19 13:35:47 2021 Msieve v. 1.54 (SVN 1043M)
  218. Sun Dec 19 13:35:47 2021 random seeds: 1a70f16b 8a64b985
  219. Sun Dec 19 13:35:47 2021 factoring 883585869759271473404390609534442148948603475096519015682562327129985286835115087141389517068660197722487262499239384364148679103535958366775083262671211970526603 (162 digits)
  220. Sun Dec 19 13:35:48 2021 searching for 15-digit factors
  221. Sun Dec 19 13:35:48 2021 commencing number field sieve (162-digit input)
  222. Sun Dec 19 13:35:48 2021 R0: -22259109638141483403825964007279
  223. Sun Dec 19 13:35:48 2021 R1: 179909578661155303
  224. Sun Dec 19 13:35:48 2021 A0: -190639353936635619087747280812770725200
  225. Sun Dec 19 13:35:48 2021 A1: 67759022893645466361194556645921
  226. Sun Dec 19 13:35:48 2021 A2: 142819254211123485237095053
  227. Sun Dec 19 13:35:48 2021 A3: -18593038347735909305
  228. Sun Dec 19 13:35:48 2021 A4: -9256372317644
  229. Sun Dec 19 13:35:48 2021 A5: 161700
  230. Sun Dec 19 13:35:48 2021 skew 4288726.19, size 7.969e-16, alpha -6.346, combined = 9.890e-13 rroots = 5
  231. Sun Dec 19 13:35:48 2021
  232. Sun Dec 19 13:35:48 2021 commencing square root phase
  233. Sun Dec 19 13:35:48 2021 reading relations for dependency 1
  234. Sun Dec 19 13:36:07 2021 read 2606782 cycles
  235. Sun Dec 19 13:36:15 2021 cycles contain 8773930 unique relations
  236. Sun Dec 19 13:51:59 2021 read 8773930 relations
  237. Sun Dec 19 13:52:52 2021 multiplying 8773930 relations
  238. Sun Dec 19 14:03:41 2021 multiply complete, coefficients have about 489.45 million bits
  239. Sun Dec 19 14:03:46 2021 initial square root is modulo 605826779
  240. Sun Dec 19 14:17:47 2021 sqrtTime: 2519
  241. Sun Dec 19 14:17:47 2021 p67 factor: 1787209030409583777672382132159261762460342493297804466095446237903
  242. Sun Dec 19 14:17:47 2021 p96 factor: 494394250882212478787971757181905737888135292664222104417895578990752137585103904260749397792901
  243. Sun Dec 19 14:17:47 2021 elapsed time 00:42:00
  244.  
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