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Jul 6th, 2024
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  1. Fri Jul 5 00:44:30 2024
  2. Fri Jul 5 00:44:30 2024
  3. Fri Jul 5 00:44:30 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 5 00:44:30 2024 random seeds: 4aa9d4a8 442cd2d4
  5. Fri Jul 5 00:44:30 2024 MPI process 0 of 1
  6. Fri Jul 5 00:44:30 2024 Using 32 OpenMP threads
  7. Fri Jul 5 00:44:30 2024 factoring 45546427948595714933831776126110274307659374220053412737963427003675601864275410737227216768016386621523886734115424639110161869915523411732771352014926017256203843195182776949 (176 digits)
  8. Fri Jul 5 00:44:31 2024 searching for 15-digit factors
  9. Fri Jul 5 00:44:31 2024 commencing number field sieve (176-digit input)
  10. Fri Jul 5 00:44:31 2024 R0: -11514131360383545258545829341102865
  11. Fri Jul 5 00:44:31 2024 R1: 3343125023433026389
  12. Fri Jul 5 00:44:31 2024 A0: 583055306402994499160905177597978180587656
  13. Fri Jul 5 00:44:31 2024 A1: 33884571929404065069729011047552162
  14. Fri Jul 5 00:44:31 2024 A2: -35090374707615927962790640842
  15. Fri Jul 5 00:44:31 2024 A3: -2014491099526536041395
  16. Fri Jul 5 00:44:31 2024 A4: 193874292019108
  17. Fri Jul 5 00:44:31 2024 A5: 225060
  18. Fri Jul 5 00:44:31 2024 skew 15213291.77, size 3.574e-17, alpha -7.447, combined = 1.528e-13 rroots = 5
  19. Fri Jul 5 00:44:31 2024
  20. Fri Jul 5 00:44:31 2024 commencing relation filtering
  21. Fri Jul 5 00:44:31 2024 setting target matrix density to 130.0
  22. Fri Jul 5 00:44:31 2024 estimated available RAM is 257736.5 MB
  23. Fri Jul 5 00:44:31 2024 commencing duplicate removal, pass 1
  24. Fri Jul 5 00:44:58 2024 error -1 reading relation 17240667
  25. Fri Jul 5 00:47:39 2024 error -1 reading relation 103675910
  26. Fri Jul 5 00:47:44 2024 error -1 reading relation 107135615
  27. Fri Jul 5 00:48:08 2024 error -1 reading relation 120459905
  28. Fri Jul 5 00:51:10 2024 error -1 reading relation 201565068
  29. Fri Jul 5 00:51:26 2024 error -1 reading relation 210138858
  30. Fri Jul 5 00:51:36 2024 error -1 reading relation 214541797
  31. Fri Jul 5 00:51:38 2024 error -1 reading relation 215847739
  32. Fri Jul 5 00:51:42 2024 error -1 reading relation 218578016
  33. Fri Jul 5 00:51:48 2024 error -1 reading relation 221041862
  34. Fri Jul 5 00:51:56 2024 error -1 reading relation 225917521
  35. Fri Jul 5 00:51:56 2024 error -1 reading relation 225920446
  36. Fri Jul 5 00:52:11 2024 error -1 reading relation 234713533
  37. Fri Jul 5 00:52:13 2024 error -1 reading relation 235619310
  38. Fri Jul 5 00:52:13 2024 error -1 reading relation 235624647
  39. Fri Jul 5 00:52:24 2024 error -1 reading relation 242069480
  40. Fri Jul 5 00:52:32 2024 error -1 reading relation 245212261
  41. Fri Jul 5 00:52:33 2024 error -1 reading relation 245577715
  42. Fri Jul 5 00:52:46 2024 error -1 reading relation 251394095
  43. Fri Jul 5 00:53:25 2024 error -1 reading relation 271622359
  44. Fri Jul 5 00:53:25 2024 error -1 reading relation 271656170
  45. Fri Jul 5 00:53:55 2024 error -1 reading relation 286570803
  46. Fri Jul 5 00:54:07 2024 error -1 reading relation 292070245
  47. Fri Jul 5 00:54:28 2024 error -1 reading relation 303578887
  48. Fri Jul 5 00:54:47 2024 error -1 reading relation 314492515
  49. Fri Jul 5 00:55:02 2024 error -1 reading relation 321624857
  50. Fri Jul 5 00:55:04 2024 error -1 reading relation 322650979
  51. Fri Jul 5 00:55:15 2024 error -1 reading relation 329046493
  52. Fri Jul 5 00:55:18 2024 error -1 reading relation 330642967
  53. Fri Jul 5 00:55:25 2024 error -1 reading relation 334756749
  54. Fri Jul 5 00:55:27 2024 error -1 reading relation 335950780
  55. Fri Jul 5 00:55:37 2024 error -5 reading relation 341431844
  56. Fri Jul 5 00:55:40 2024 error -1 reading relation 342889676
  57. Fri Jul 5 00:56:06 2024 error -1 reading relation 356496747
  58. Fri Jul 5 00:56:16 2024 error -1 reading relation 361429856
  59. Fri Jul 5 00:56:22 2024 error -1 reading relation 364954504
  60. Fri Jul 5 00:56:26 2024 error -1 reading relation 366852662
  61. Fri Jul 5 00:56:26 2024 error -1 reading relation 367053337
  62. Fri Jul 5 00:56:27 2024 skipped 183 malformed relations
  63. Fri Jul 5 00:56:27 2024 found 64126254 hash collisions in 367936946 relations
  64. Fri Jul 5 00:56:50 2024 added 122505 free relations
  65. Fri Jul 5 00:56:50 2024 commencing duplicate removal, pass 2
  66. Fri Jul 5 01:03:55 2024 found 62815531 duplicates and 305243920 unique relations
  67. Fri Jul 5 01:03:55 2024 memory use: 1705.5 MB
  68. Fri Jul 5 01:03:55 2024 reading ideals above 720000
  69. Fri Jul 5 01:03:55 2024 commencing singleton removal, initial pass
  70. Fri Jul 5 01:31:53 2024 memory use: 6024.0 MB
  71. Fri Jul 5 01:31:54 2024 reading all ideals from disk
  72. Fri Jul 5 01:32:00 2024 memory use: 14654.4 MB
  73. Fri Jul 5 01:32:47 2024 keeping 302035359 ideals with weight <= 200, target excess is 1541092
  74. Fri Jul 5 01:34:05 2024 commencing in-memory singleton removal
  75. Fri Jul 5 01:34:14 2024 begin with 305243920 relations and 302035359 unique ideals
  76. Fri Jul 5 01:34:53 2024 reduce to 161246718 relations and 139914658 ideals in 18 passes
  77. Fri Jul 5 01:34:53 2024 max relations containing the same ideal: 137
  78. Fri Jul 5 01:36:19 2024 removing 14339624 relations and 12339624 ideals in 2000000 cliques
  79. Fri Jul 5 01:36:28 2024 commencing in-memory singleton removal
  80. Fri Jul 5 01:36:34 2024 begin with 146907094 relations and 139914658 unique ideals
  81. Fri Jul 5 01:36:51 2024 reduce to 145894242 relations and 126545281 ideals in 9 passes
  82. Fri Jul 5 01:36:51 2024 max relations containing the same ideal: 130
  83. Fri Jul 5 01:38:21 2024 removing 10824980 relations and 8824980 ideals in 2000000 cliques
  84. Fri Jul 5 01:38:33 2024 commencing in-memory singleton removal
  85. Fri Jul 5 01:38:38 2024 begin with 135069262 relations and 126545281 unique ideals
  86. Fri Jul 5 01:38:53 2024 reduce to 134401234 relations and 117042598 ideals in 8 passes
  87. Fri Jul 5 01:38:53 2024 max relations containing the same ideal: 122
  88. Fri Jul 5 01:39:54 2024 removing 9754313 relations and 7754313 ideals in 2000000 cliques
  89. Fri Jul 5 01:39:59 2024 commencing in-memory singleton removal
  90. Fri Jul 5 01:40:01 2024 begin with 124646921 relations and 117042598 unique ideals
  91. Fri Jul 5 01:40:07 2024 reduce to 124052060 relations and 108684854 ideals in 8 passes
  92. Fri Jul 5 01:40:07 2024 max relations containing the same ideal: 114
  93. Fri Jul 5 01:41:15 2024 removing 9211167 relations and 7211167 ideals in 2000000 cliques
  94. Fri Jul 5 01:41:21 2024 commencing in-memory singleton removal
  95. Fri Jul 5 01:41:23 2024 begin with 114840893 relations and 108684854 unique ideals
  96. Fri Jul 5 01:41:33 2024 reduce to 114267137 relations and 100891096 ideals in 9 passes
  97. Fri Jul 5 01:41:33 2024 max relations containing the same ideal: 107
  98. Fri Jul 5 01:42:27 2024 removing 8894233 relations and 6894233 ideals in 2000000 cliques
  99. Fri Jul 5 01:42:32 2024 commencing in-memory singleton removal
  100. Fri Jul 5 01:42:34 2024 begin with 105372904 relations and 100891096 unique ideals
  101. Fri Jul 5 01:42:45 2024 reduce to 104787614 relations and 93402347 ideals in 10 passes
  102. Fri Jul 5 01:42:45 2024 max relations containing the same ideal: 102
  103. Fri Jul 5 01:43:33 2024 removing 8703673 relations and 6703674 ideals in 2000000 cliques
  104. Fri Jul 5 01:43:36 2024 commencing in-memory singleton removal
  105. Fri Jul 5 01:43:38 2024 begin with 96083941 relations and 93402347 unique ideals
  106. Fri Jul 5 01:43:43 2024 reduce to 95474091 relations and 86078558 ideals in 8 passes
  107. Fri Jul 5 01:43:43 2024 max relations containing the same ideal: 95
  108. Fri Jul 5 01:44:21 2024 removing 8611616 relations and 6611616 ideals in 2000000 cliques
  109. Fri Jul 5 01:44:25 2024 commencing in-memory singleton removal
  110. Fri Jul 5 01:44:26 2024 begin with 86862475 relations and 86078558 unique ideals
  111. Fri Jul 5 01:44:29 2024 reduce to 86204974 relations and 78797302 ideals in 8 passes
  112. Fri Jul 5 01:44:29 2024 max relations containing the same ideal: 90
  113. Fri Jul 5 01:45:07 2024 removing 8587589 relations and 6587589 ideals in 2000000 cliques
  114. Fri Jul 5 01:45:10 2024 commencing in-memory singleton removal
  115. Fri Jul 5 01:45:12 2024 begin with 77617385 relations and 78797302 unique ideals
  116. Fri Jul 5 01:45:16 2024 reduce to 76882705 relations and 71460152 ideals in 9 passes
  117. Fri Jul 5 01:45:16 2024 max relations containing the same ideal: 87
  118. Fri Jul 5 01:45:49 2024 removing 8639015 relations and 6639015 ideals in 2000000 cliques
  119. Fri Jul 5 01:45:53 2024 commencing in-memory singleton removal
  120. Fri Jul 5 01:45:54 2024 begin with 68243690 relations and 71460152 unique ideals
  121. Fri Jul 5 01:45:58 2024 reduce to 67392486 relations and 63950743 ideals in 10 passes
  122. Fri Jul 5 01:45:58 2024 max relations containing the same ideal: 80
  123. Fri Jul 5 01:46:23 2024 removing 7571978 relations and 5917902 ideals in 1654076 cliques
  124. Fri Jul 5 01:46:26 2024 commencing in-memory singleton removal
  125. Fri Jul 5 01:46:27 2024 begin with 59820508 relations and 63950743 unique ideals
  126. Fri Jul 5 01:46:30 2024 reduce to 59070684 relations and 57266731 ideals in 9 passes
  127. Fri Jul 5 01:46:30 2024 max relations containing the same ideal: 74
  128. Fri Jul 5 01:46:53 2024 removing 166694 relations and 150408 ideals in 16286 cliques
  129. Fri Jul 5 01:46:54 2024 commencing in-memory singleton removal
  130. Fri Jul 5 01:46:55 2024 begin with 58903990 relations and 57266731 unique ideals
  131. Fri Jul 5 01:46:57 2024 reduce to 58903703 relations and 57116036 ideals in 4 passes
  132. Fri Jul 5 01:46:57 2024 max relations containing the same ideal: 74
  133. Fri Jul 5 01:47:04 2024 relations with 0 large ideals: 5221
  134. Fri Jul 5 01:47:04 2024 relations with 1 large ideals: 38125
  135. Fri Jul 5 01:47:04 2024 relations with 2 large ideals: 492305
  136. Fri Jul 5 01:47:04 2024 relations with 3 large ideals: 2788593
  137. Fri Jul 5 01:47:04 2024 relations with 4 large ideals: 8451352
  138. Fri Jul 5 01:47:04 2024 relations with 5 large ideals: 15077242
  139. Fri Jul 5 01:47:04 2024 relations with 6 large ideals: 16337623
  140. Fri Jul 5 01:47:04 2024 relations with 7+ large ideals: 15713242
  141. Fri Jul 5 01:47:04 2024 commencing 2-way merge
  142. Fri Jul 5 01:47:41 2024 reduce to 35225645 relation sets and 33437978 unique ideals
  143. Fri Jul 5 01:47:41 2024 commencing full merge
  144. Fri Jul 5 02:05:45 2024 memory use: 3647.4 MB
  145. Fri Jul 5 02:05:48 2024 found 14654757 cycles, need 14654178
  146. Fri Jul 5 02:05:52 2024 weight of 14654178 cycles is about 1905169169 (130.01/cycle)
  147. Fri Jul 5 02:05:52 2024 distribution of cycle lengths:
  148. Fri Jul 5 02:05:52 2024 1 relations: 1065943
  149. Fri Jul 5 02:05:52 2024 2 relations: 933001
  150. Fri Jul 5 02:05:52 2024 3 relations: 971878
  151. Fri Jul 5 02:05:52 2024 4 relations: 959022
  152. Fri Jul 5 02:05:52 2024 5 relations: 972036
  153. Fri Jul 5 02:05:52 2024 6 relations: 938142
  154. Fri Jul 5 02:05:52 2024 7 relations: 919214
  155. Fri Jul 5 02:05:52 2024 8 relations: 871189
  156. Fri Jul 5 02:05:52 2024 9 relations: 837499
  157. Fri Jul 5 02:05:52 2024 10+ relations: 6186254
  158. Fri Jul 5 02:05:52 2024 heaviest cycle: 28 relations
  159. Fri Jul 5 02:05:57 2024 commencing cycle optimization
  160. Fri Jul 5 02:07:11 2024 start with 135186364 relations
  161. Fri Jul 5 02:12:39 2024 pruned 5212856 relations
  162. Fri Jul 5 02:12:39 2024 memory use: 3755.7 MB
  163. Fri Jul 5 02:12:40 2024 distribution of cycle lengths:
  164. Fri Jul 5 02:12:40 2024 1 relations: 1065943
  165. Fri Jul 5 02:12:40 2024 2 relations: 957992
  166. Fri Jul 5 02:12:40 2024 3 relations: 1009776
  167. Fri Jul 5 02:12:40 2024 4 relations: 994097
  168. Fri Jul 5 02:12:40 2024 5 relations: 1011512
  169. Fri Jul 5 02:12:40 2024 6 relations: 974404
  170. Fri Jul 5 02:12:40 2024 7 relations: 955363
  171. Fri Jul 5 02:12:40 2024 8 relations: 904413
  172. Fri Jul 5 02:12:40 2024 9 relations: 866720
  173. Fri Jul 5 02:12:40 2024 10+ relations: 5913958
  174. Fri Jul 5 02:12:40 2024 heaviest cycle: 28 relations
  175. Fri Jul 5 02:13:04 2024 RelProcTime: 5313
  176. Fri Jul 5 02:13:04 2024 elapsed time 01:28:34
  177. Fri Jul 5 02:51:05 2024
  178. Fri Jul 5 02:51:05 2024
  179. Fri Jul 5 02:51:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  180. Fri Jul 5 02:51:05 2024 random seeds: 4f68b0b9 296180ce
  181. Fri Jul 5 02:51:05 2024 MPI process 0 of 1
  182. Fri Jul 5 02:51:05 2024 Using 64 OpenMP threads
  183. Fri Jul 5 02:51:05 2024 factoring 45546427948595714933831776126110274307659374220053412737963427003675601864275410737227216768016386621523886734115424639110161869915523411732771352014926017256203843195182776949 (176 digits)
  184. Fri Jul 5 02:51:06 2024 searching for 15-digit factors
  185. Fri Jul 5 02:51:06 2024 commencing number field sieve (176-digit input)
  186. Fri Jul 5 02:51:06 2024 R0: -11514131360383545258545829341102865
  187. Fri Jul 5 02:51:06 2024 R1: 3343125023433026389
  188. Fri Jul 5 02:51:06 2024 A0: 583055306402994499160905177597978180587656
  189. Fri Jul 5 02:51:06 2024 A1: 33884571929404065069729011047552162
  190. Fri Jul 5 02:51:06 2024 A2: -35090374707615927962790640842
  191. Fri Jul 5 02:51:06 2024 A3: -2014491099526536041395
  192. Fri Jul 5 02:51:06 2024 A4: 193874292019108
  193. Fri Jul 5 02:51:06 2024 A5: 225060
  194. Fri Jul 5 02:51:06 2024 skew 15213291.77, size 3.574e-17, alpha -7.447, combined = 1.528e-13 rroots = 5
  195. Fri Jul 5 02:51:06 2024
  196. Fri Jul 5 02:51:06 2024 commencing linear algebra
  197. Fri Jul 5 02:51:06 2024 using VBITS=256
  198. Fri Jul 5 02:51:06 2024 initialized process (0,0) of 1 x 1 grid
  199. Fri Jul 5 02:51:08 2024 read 14654178 cycles
  200. Fri Jul 5 02:51:33 2024 cycles contain 57527822 unique relations
  201. Fri Jul 5 02:57:08 2024 read 57527822 relations
  202. Fri Jul 5 02:57:14 2024 using 20 quadratic characters above 4294917295
  203. Fri Jul 5 02:57:22 2024 building initial matrix
  204. Fri Jul 5 03:07:42 2024 memory use: 7818.9 MB
  205. Fri Jul 5 03:07:52 2024 read 14654178 cycles
  206. Fri Jul 5 03:07:54 2024 matrix is 14654000 x 14654178 (7432.2 MB) with weight 2252944439 (153.74/col)
  207. Fri Jul 5 03:07:54 2024 sparse part has weight 1772468843 (120.95/col)
  208. Fri Jul 5 03:11:01 2024 filtering completed in 2 passes
  209. Fri Jul 5 03:11:05 2024 matrix is 14653683 x 14653861 (7432.2 MB) with weight 2252929631 (153.74/col)
  210. Fri Jul 5 03:11:05 2024 sparse part has weight 1772465491 (120.96/col)
  211. Fri Jul 5 03:12:35 2024 matrix starts at (0, 0)
  212. Fri Jul 5 03:12:37 2024 matrix is 14653683 x 14653861 (7432.2 MB) with weight 2252929631 (153.74/col)
  213. Fri Jul 5 03:12:37 2024 sparse part has weight 1772465491 (120.96/col)
  214. Fri Jul 5 03:12:37 2024 saving the first 240 matrix rows for later
  215. Fri Jul 5 03:12:40 2024 matrix includes 256 packed rows
  216. Fri Jul 5 03:12:45 2024 matrix is 14653443 x 14653861 (6729.4 MB) with weight 1627811002 (111.08/col)
  217. Fri Jul 5 03:12:45 2024 sparse part has weight 1529602957 (104.38/col)
  218. Fri Jul 5 03:12:45 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  219. Fri Jul 5 03:13:19 2024 commencing Lanczos iteration (64 threads)
  220. Fri Jul 5 03:13:19 2024 memory use: 9517.4 MB
  221. Fri Jul 5 03:24:13 2024 linear algebra at 0.2%, ETA 86h10m
  222. Fri Jul 5 03:31:34 2024 checking every 10000 dimensions, checkpointing every 260000 dimensions
  223. Fri Jul 5 21:04:15 2024 lanczos halted after 57413 iterations (dim = 14653441)
  224. Fri Jul 5 21:05:21 2024 recovered 27 nontrivial dependencies
  225. Fri Jul 5 21:05:23 2024 BLanczosTime: 65657
  226. Fri Jul 5 21:05:23 2024
  227. Fri Jul 5 21:05:23 2024 commencing square root phase
  228. Fri Jul 5 21:05:23 2024 reading relations for dependency 1
  229. Fri Jul 5 21:05:24 2024 read 7326030 cycles
  230. Fri Jul 5 21:05:38 2024 cycles contain 28757162 unique relations
  231. Fri Jul 5 21:10:42 2024 read 28757162 relations
  232. Fri Jul 5 21:12:47 2024 multiplying 28757162 relations
  233. Fri Jul 5 21:16:49 2024 multiply complete, coefficients have about 1727.18 million bits
  234. Fri Jul 5 21:16:54 2024 initial square root is modulo 55932829
  235. Fri Jul 5 21:30:24 2024 sqrtTime: 1501
  236. Fri Jul 5 21:30:24 2024 p55 factor: 9337163422851264766708176377139914795620178197423470047
  237. Fri Jul 5 21:30:24 2024 p121 factor: 4877972665352292114016272795848666931412501966710569797306154174234288148567744845830552283436632762387596558550867495467
  238. Fri Jul 5 21:30:24 2024 elapsed time 18:39:19
  239.  
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