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Nov 1st, 2024
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  1. Fri Nov 1 02:12:19 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Fri Nov 1 02:12:19 2024 random seeds: 05f66c32 237ada76
  3. Fri Nov 1 02:12:19 2024 MPI process 0 of 1
  4. Fri Nov 1 02:12:19 2024 Using 32 OpenMP threads
  5. Fri Nov 1 02:12:19 2024 factoring 47448656159960669929886103760081909476375035659768383777075149995493770719872891224756617732056312178555449686061331382193479286696759725463981219904414578001628441 (164 digits)
  6. Fri Nov 1 02:12:19 2024 searching for 15-digit factors
  7. Fri Nov 1 02:12:19 2024 commencing number field sieve (164-digit input)
  8. Fri Nov 1 02:12:19 2024 R0: -56228394073497782999998169493615
  9. Fri Nov 1 02:12:19 2024 R1: 421425609780336121
  10. Fri Nov 1 02:12:19 2024 A0: 7592679892498150554799530885933457446856
  11. Fri Nov 1 02:12:19 2024 A1: 5840076250513956468997664120580474
  12. Fri Nov 1 02:12:19 2024 A2: -969708452307285869010306797
  13. Fri Nov 1 02:12:19 2024 A3: -169717103414716522674
  14. Fri Nov 1 02:12:19 2024 A4: 4397118544546
  15. Fri Nov 1 02:12:19 2024 A5: 84420
  16. Fri Nov 1 02:12:19 2024 skew 15000299.96, size 5.662e-16, alpha -7.431, combined = 8.051e-13 rroots = 5
  17. Fri Nov 1 02:12:19 2024
  18. Fri Nov 1 02:12:19 2024 commencing relation filtering
  19. Fri Nov 1 02:12:19 2024 setting target matrix density to 140.0
  20. Fri Nov 1 02:12:19 2024 estimated available RAM is 257736.5 MB
  21. Fri Nov 1 02:12:19 2024 commencing duplicate removal, pass 1
  22. Fri Nov 1 02:15:19 2024 error -1 reading relation 60861626
  23. Fri Nov 1 02:16:09 2024 error -1 reading relation 77297612
  24. Fri Nov 1 02:17:08 2024 error -1 reading relation 96189320
  25. Fri Nov 1 02:17:09 2024 error -1 reading relation 97102143
  26. Fri Nov 1 02:19:49 2024 error -1 reading relation 172455569
  27. Fri Nov 1 02:20:10 2024 error -1 reading relation 181743664
  28. Fri Nov 1 02:20:17 2024 error -1 reading relation 184978225
  29. Fri Nov 1 02:20:17 2024 error -1 reading relation 185085150
  30. Fri Nov 1 02:20:35 2024 error -1 reading relation 192890205
  31. Fri Nov 1 02:20:48 2024 error -1 reading relation 198816936
  32. Fri Nov 1 02:21:13 2024 error -1 reading relation 210053431
  33. Fri Nov 1 02:21:18 2024 error -1 reading relation 212011308
  34. Fri Nov 1 02:21:44 2024 error -1 reading relation 223377278
  35. Fri Nov 1 02:22:16 2024 error -1 reading relation 237278580
  36. Fri Nov 1 02:22:49 2024 error -1 reading relation 251577551
  37. Fri Nov 1 02:23:03 2024 error -1 reading relation 257591379
  38. Fri Nov 1 02:23:05 2024 error -1 reading relation 258491147
  39. Fri Nov 1 02:23:17 2024 error -1 reading relation 263866734
  40. Fri Nov 1 02:23:28 2024 error -1 reading relation 268957679
  41. Fri Nov 1 02:23:46 2024 error -1 reading relation 276107955
  42. Fri Nov 1 02:23:46 2024 error -1 reading relation 276160965
  43. Fri Nov 1 02:23:57 2024 error -1 reading relation 280605817
  44. Fri Nov 1 02:23:57 2024 error -1 reading relation 280842502
  45. Fri Nov 1 02:24:28 2024 error -1 reading relation 294394470
  46. Fri Nov 1 02:24:30 2024 error -1 reading relation 295695087
  47. Fri Nov 1 02:24:33 2024 error -1 reading relation 296770140
  48. Fri Nov 1 02:24:48 2024 error -1 reading relation 303377328
  49. Fri Nov 1 02:24:58 2024 error -1 reading relation 308071375
  50. Fri Nov 1 02:25:00 2024 error -1 reading relation 309070245
  51. Fri Nov 1 02:25:01 2024 error -1 reading relation 309445801
  52. Fri Nov 1 02:25:03 2024 error -1 reading relation 310295826
  53. Fri Nov 1 02:25:04 2024 skipped 2 relations with composite factors
  54. Fri Nov 1 02:25:04 2024 skipped 203 malformed relations
  55. Fri Nov 1 02:25:04 2024 found 65965008 hash collisions in 310877267 relations
  56. Fri Nov 1 02:25:27 2024 added 121702 free relations
  57. Fri Nov 1 02:25:27 2024 commencing duplicate removal, pass 2
  58. Fri Nov 1 02:31:40 2024 found 71889872 duplicates and 239109097 unique relations
  59. Fri Nov 1 02:31:40 2024 memory use: 1705.5 MB
  60. Fri Nov 1 02:31:40 2024 reading ideals above 720000
  61. Fri Nov 1 02:31:40 2024 commencing singleton removal, initial pass
  62. Fri Nov 1 02:50:14 2024 memory use: 6024.0 MB
  63. Fri Nov 1 02:50:14 2024 reading all ideals from disk
  64. Fri Nov 1 02:50:19 2024 memory use: 10848.6 MB
  65. Fri Nov 1 02:50:48 2024 keeping 225205167 ideals with weight <= 200, target excess is 1334362
  66. Fri Nov 1 02:51:24 2024 commencing in-memory singleton removal
  67. Fri Nov 1 02:51:28 2024 begin with 239109097 relations and 225205167 unique ideals
  68. Fri Nov 1 02:51:44 2024 reduce to 132710360 relations and 105706340 ideals in 14 passes
  69. Fri Nov 1 02:51:44 2024 max relations containing the same ideal: 141
  70. Fri Nov 1 02:52:36 2024 removing 11456567 relations and 9456567 ideals in 2000000 cliques
  71. Fri Nov 1 02:52:41 2024 commencing in-memory singleton removal
  72. Fri Nov 1 02:52:42 2024 begin with 121253793 relations and 105706340 unique ideals
  73. Fri Nov 1 02:52:48 2024 reduce to 120516684 relations and 95498270 ideals in 9 passes
  74. Fri Nov 1 02:52:48 2024 max relations containing the same ideal: 134
  75. Fri Nov 1 02:53:36 2024 removing 8705868 relations and 6705868 ideals in 2000000 cliques
  76. Fri Nov 1 02:53:41 2024 commencing in-memory singleton removal
  77. Fri Nov 1 02:53:43 2024 begin with 111810816 relations and 95498270 unique ideals
  78. Fri Nov 1 02:53:49 2024 reduce to 111313068 relations and 88286178 ideals in 7 passes
  79. Fri Nov 1 02:53:49 2024 max relations containing the same ideal: 128
  80. Fri Nov 1 02:54:34 2024 removing 7882269 relations and 5882269 ideals in 2000000 cliques
  81. Fri Nov 1 02:54:38 2024 commencing in-memory singleton removal
  82. Fri Nov 1 02:54:40 2024 begin with 103430799 relations and 88286178 unique ideals
  83. Fri Nov 1 02:54:46 2024 reduce to 102988751 relations and 81954366 ideals in 8 passes
  84. Fri Nov 1 02:54:46 2024 max relations containing the same ideal: 122
  85. Fri Nov 1 02:55:30 2024 removing 7463975 relations and 5463975 ideals in 2000000 cliques
  86. Fri Nov 1 02:55:34 2024 commencing in-memory singleton removal
  87. Fri Nov 1 02:55:35 2024 begin with 95524776 relations and 81954366 unique ideals
  88. Fri Nov 1 02:55:40 2024 reduce to 95102946 relations and 76061083 ideals in 7 passes
  89. Fri Nov 1 02:55:40 2024 max relations containing the same ideal: 118
  90. Fri Nov 1 02:56:21 2024 removing 7201759 relations and 5201759 ideals in 2000000 cliques
  91. Fri Nov 1 02:56:25 2024 commencing in-memory singleton removal
  92. Fri Nov 1 02:56:26 2024 begin with 87901187 relations and 76061083 unique ideals
  93. Fri Nov 1 02:56:31 2024 reduce to 87481932 relations and 70431970 ideals in 8 passes
  94. Fri Nov 1 02:56:31 2024 max relations containing the same ideal: 113
  95. Fri Nov 1 02:57:09 2024 removing 7036075 relations and 5036075 ideals in 2000000 cliques
  96. Fri Nov 1 02:57:13 2024 commencing in-memory singleton removal
  97. Fri Nov 1 02:57:14 2024 begin with 80445857 relations and 70431970 unique ideals
  98. Fri Nov 1 02:57:18 2024 reduce to 80018281 relations and 64959442 ideals in 7 passes
  99. Fri Nov 1 02:57:18 2024 max relations containing the same ideal: 108
  100. Fri Nov 1 02:57:50 2024 removing 6924979 relations and 4924979 ideals in 2000000 cliques
  101. Fri Nov 1 02:57:53 2024 commencing in-memory singleton removal
  102. Fri Nov 1 02:57:54 2024 begin with 73093302 relations and 64959442 unique ideals
  103. Fri Nov 1 02:57:58 2024 reduce to 72645657 relations and 59576934 ideals in 8 passes
  104. Fri Nov 1 02:57:58 2024 max relations containing the same ideal: 102
  105. Fri Nov 1 02:58:26 2024 removing 6860974 relations and 4860974 ideals in 2000000 cliques
  106. Fri Nov 1 02:58:29 2024 commencing in-memory singleton removal
  107. Fri Nov 1 02:58:30 2024 begin with 65784683 relations and 59576934 unique ideals
  108. Fri Nov 1 02:58:33 2024 reduce to 65304914 relations and 54224528 ideals in 8 passes
  109. Fri Nov 1 02:58:33 2024 max relations containing the same ideal: 91
  110. Fri Nov 1 02:58:57 2024 removing 6832802 relations and 4832802 ideals in 2000000 cliques
  111. Fri Nov 1 02:58:59 2024 commencing in-memory singleton removal
  112. Fri Nov 1 02:59:00 2024 begin with 58472112 relations and 54224528 unique ideals
  113. Fri Nov 1 02:59:02 2024 reduce to 57946103 relations and 48851678 ideals in 8 passes
  114. Fri Nov 1 02:59:02 2024 max relations containing the same ideal: 83
  115. Fri Nov 1 02:59:27 2024 removing 6840657 relations and 4840657 ideals in 2000000 cliques
  116. Fri Nov 1 02:59:29 2024 commencing in-memory singleton removal
  117. Fri Nov 1 02:59:30 2024 begin with 51105446 relations and 48851678 unique ideals
  118. Fri Nov 1 02:59:33 2024 reduce to 50506588 relations and 43393993 ideals in 8 passes
  119. Fri Nov 1 02:59:33 2024 max relations containing the same ideal: 75
  120. Fri Nov 1 02:59:55 2024 removing 6891208 relations and 4891208 ideals in 2000000 cliques
  121. Fri Nov 1 02:59:57 2024 commencing in-memory singleton removal
  122. Fri Nov 1 02:59:58 2024 begin with 43615380 relations and 43393993 unique ideals
  123. Fri Nov 1 03:00:00 2024 reduce to 42907834 relations and 37771307 ideals in 8 passes
  124. Fri Nov 1 03:00:00 2024 max relations containing the same ideal: 67
  125. Fri Nov 1 03:00:19 2024 removing 6996442 relations and 4996442 ideals in 2000000 cliques
  126. Fri Nov 1 03:00:21 2024 commencing in-memory singleton removal
  127. Fri Nov 1 03:00:22 2024 begin with 35911392 relations and 37771307 unique ideals
  128. Fri Nov 1 03:00:24 2024 reduce to 35038603 relations and 31867094 ideals in 9 passes
  129. Fri Nov 1 03:00:24 2024 max relations containing the same ideal: 59
  130. Fri Nov 1 03:00:40 2024 removing 6078934 relations and 4455285 ideals in 1623649 cliques
  131. Fri Nov 1 03:00:42 2024 commencing in-memory singleton removal
  132. Fri Nov 1 03:00:43 2024 begin with 28959669 relations and 31867094 unique ideals
  133. Fri Nov 1 03:00:44 2024 reduce to 28123497 relations and 26541466 ideals in 9 passes
  134. Fri Nov 1 03:00:44 2024 max relations containing the same ideal: 52
  135. Fri Nov 1 03:00:57 2024 removing 276636 relations and 242465 ideals in 34171 cliques
  136. Fri Nov 1 03:00:58 2024 commencing in-memory singleton removal
  137. Fri Nov 1 03:00:58 2024 begin with 27846861 relations and 26541466 unique ideals
  138. Fri Nov 1 03:00:59 2024 reduce to 27845125 relations and 26297264 ideals in 5 passes
  139. Fri Nov 1 03:00:59 2024 max relations containing the same ideal: 52
  140. Fri Nov 1 03:01:02 2024 relations with 0 large ideals: 9774
  141. Fri Nov 1 03:01:02 2024 relations with 1 large ideals: 126641
  142. Fri Nov 1 03:01:02 2024 relations with 2 large ideals: 944243
  143. Fri Nov 1 03:01:02 2024 relations with 3 large ideals: 3449432
  144. Fri Nov 1 03:01:02 2024 relations with 4 large ideals: 6883923
  145. Fri Nov 1 03:01:02 2024 relations with 5 large ideals: 7998057
  146. Fri Nov 1 03:01:02 2024 relations with 6 large ideals: 5563850
  147. Fri Nov 1 03:01:02 2024 relations with 7+ large ideals: 2869205
  148. Fri Nov 1 03:01:02 2024 commencing 2-way merge
  149. Fri Nov 1 03:01:20 2024 reduce to 16564376 relation sets and 15016515 unique ideals
  150. Fri Nov 1 03:01:20 2024 commencing full merge
  151. Fri Nov 1 03:06:38 2024 memory use: 1718.1 MB
  152. Fri Nov 1 03:06:41 2024 found 6836676 cycles, need 6814715
  153. Fri Nov 1 03:06:43 2024 weight of 6814715 cycles is about 954632867 (140.08/cycle)
  154. Fri Nov 1 03:06:43 2024 distribution of cycle lengths:
  155. Fri Nov 1 03:06:43 2024 1 relations: 320575
  156. Fri Nov 1 03:06:43 2024 2 relations: 365347
  157. Fri Nov 1 03:06:43 2024 3 relations: 396467
  158. Fri Nov 1 03:06:43 2024 4 relations: 399607
  159. Fri Nov 1 03:06:43 2024 5 relations: 411623
  160. Fri Nov 1 03:06:43 2024 6 relations: 412906
  161. Fri Nov 1 03:06:43 2024 7 relations: 411755
  162. Fri Nov 1 03:06:43 2024 8 relations: 408198
  163. Fri Nov 1 03:06:43 2024 9 relations: 395364
  164. Fri Nov 1 03:06:43 2024 10+ relations: 3292873
  165. Fri Nov 1 03:06:43 2024 heaviest cycle: 28 relations
  166. Fri Nov 1 03:06:45 2024 commencing cycle optimization
  167. Fri Nov 1 03:07:00 2024 start with 69217514 relations
  168. Fri Nov 1 03:09:51 2024 pruned 3206601 relations
  169. Fri Nov 1 03:09:51 2024 memory use: 1821.0 MB
  170. Fri Nov 1 03:09:51 2024 distribution of cycle lengths:
  171. Fri Nov 1 03:09:51 2024 1 relations: 320575
  172. Fri Nov 1 03:09:51 2024 2 relations: 374602
  173. Fri Nov 1 03:09:51 2024 3 relations: 412166
  174. Fri Nov 1 03:09:51 2024 4 relations: 415892
  175. Fri Nov 1 03:09:51 2024 5 relations: 431597
  176. Fri Nov 1 03:09:51 2024 6 relations: 433320
  177. Fri Nov 1 03:09:51 2024 7 relations: 434562
  178. Fri Nov 1 03:09:51 2024 8 relations: 429611
  179. Fri Nov 1 03:09:51 2024 9 relations: 416810
  180. Fri Nov 1 03:09:51 2024 10+ relations: 3145580
  181. Fri Nov 1 03:09:51 2024 heaviest cycle: 28 relations
  182. Fri Nov 1 03:10:02 2024 RelProcTime: 3463
  183. Fri Nov 1 03:10:02 2024 elapsed time 00:57:43
  184. Fri Nov 1 05:19:57 2024
  185. Fri Nov 1 05:19:57 2024
  186. Fri Nov 1 05:19:57 2024 Msieve v. 1.54 (SVN Unversioned directory)
  187. Fri Nov 1 05:19:57 2024 random seeds: 8d088efb 14963831
  188. Fri Nov 1 05:19:57 2024 MPI process 0 of 1
  189. Fri Nov 1 05:19:57 2024 Using 64 OpenMP threads
  190. Fri Nov 1 05:19:57 2024 factoring 47448656159960669929886103760081909476375035659768383777075149995493770719872891224756617732056312178555449686061331382193479286696759725463981219904414578001628441 (164 digits)
  191. Fri Nov 1 05:19:57 2024 searching for 15-digit factors
  192. Fri Nov 1 05:19:57 2024 commencing number field sieve (164-digit input)
  193. Fri Nov 1 05:19:57 2024 R0: -56228394073497782999998169493615
  194. Fri Nov 1 05:19:57 2024 R1: 421425609780336121
  195. Fri Nov 1 05:19:57 2024 A0: 7592679892498150554799530885933457446856
  196. Fri Nov 1 05:19:57 2024 A1: 5840076250513956468997664120580474
  197. Fri Nov 1 05:19:57 2024 A2: -969708452307285869010306797
  198. Fri Nov 1 05:19:57 2024 A3: -169717103414716522674
  199. Fri Nov 1 05:19:57 2024 A4: 4397118544546
  200. Fri Nov 1 05:19:57 2024 A5: 84420
  201. Fri Nov 1 05:19:57 2024 skew 15000299.96, size 5.662e-16, alpha -7.431, combined = 8.051e-13 rroots = 5
  202. Fri Nov 1 05:19:57 2024
  203. Fri Nov 1 05:19:57 2024 commencing linear algebra
  204. Fri Nov 1 05:19:57 2024 using VBITS=256
  205. Fri Nov 1 05:19:57 2024 initialized process (0,0) of 1 x 1 grid
  206. Fri Nov 1 05:19:58 2024 read 6814715 cycles
  207. Fri Nov 1 05:20:11 2024 cycles contain 26810956 unique relations
  208. Fri Nov 1 05:24:18 2024 read 26810956 relations
  209. Fri Nov 1 05:24:20 2024 using 20 quadratic characters above 4294917295
  210. Fri Nov 1 05:24:22 2024 building initial matrix
  211. Fri Nov 1 05:29:12 2024 memory use: 3648.2 MB
  212. Fri Nov 1 05:29:17 2024 read 6814715 cycles
  213. Fri Nov 1 05:29:18 2024 matrix is 6814537 x 6814715 (3660.6 MB) with weight 1106899134 (162.43/col)
  214. Fri Nov 1 05:29:18 2024 sparse part has weight 877821796 (128.81/col)
  215. Fri Nov 1 05:30:36 2024 filtering completed in 2 passes
  216. Fri Nov 1 05:30:37 2024 matrix is 6814326 x 6814504 (3660.6 MB) with weight 1106887260 (162.43/col)
  217. Fri Nov 1 05:30:37 2024 sparse part has weight 877817693 (128.82/col)
  218. Fri Nov 1 05:31:19 2024 matrix starts at (0, 0)
  219. Fri Nov 1 05:31:20 2024 matrix is 6814326 x 6814504 (3660.6 MB) with weight 1106887260 (162.43/col)
  220. Fri Nov 1 05:31:20 2024 sparse part has weight 877817693 (128.82/col)
  221. Fri Nov 1 05:31:20 2024 saving the first 240 matrix rows for later
  222. Fri Nov 1 05:31:21 2024 matrix includes 256 packed rows
  223. Fri Nov 1 05:31:23 2024 matrix is 6814086 x 6814504 (3253.2 MB) with weight 799350979 (117.30/col)
  224. Fri Nov 1 05:31:23 2024 sparse part has weight 743767578 (109.14/col)
  225. Fri Nov 1 05:31:23 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  226. Fri Nov 1 05:31:39 2024 commencing Lanczos iteration (64 threads)
  227. Fri Nov 1 05:31:39 2024 memory use: 4505.2 MB
  228. Fri Nov 1 05:32:45 2024 linear algebra at 0.4%, ETA 3h59m
  229. Fri Nov 1 05:34:18 2024 checking every 20000 dimensions, checkpointing every 1760000 dimensions
  230. Fri Nov 1 09:22:11 2024 lanczos halted after 26698 iterations (dim = 6814084)
  231. Fri Nov 1 09:22:47 2024 recovered 27 nontrivial dependencies
  232. Fri Nov 1 09:22:47 2024 BLanczosTime: 14570
  233. Fri Nov 1 09:22:47 2024
  234. Fri Nov 1 09:22:47 2024 commencing square root phase
  235. Fri Nov 1 09:22:47 2024 reading relations for dependency 1
  236. Fri Nov 1 09:22:49 2024 read 3407075 cycles
  237. Fri Nov 1 09:23:05 2024 cycles contain 13405636 unique relations
  238. Fri Nov 1 09:28:29 2024 read 13405636 relations
  239. Fri Nov 1 09:30:19 2024 multiplying 13405636 relations
  240. Fri Nov 1 09:32:39 2024 multiply complete, coefficients have about 723.13 million bits
  241. Fri Nov 1 09:32:44 2024 initial square root is modulo 3073153
  242. Fri Nov 1 09:40:34 2024 sqrtTime: 1067
  243. Fri Nov 1 09:40:34 2024 p75 factor: 551465120863168794625184517722149758859195415899548470495803897566491231869
  244. Fri Nov 1 09:40:34 2024 p89 factor: 86041082862489457442431641094738447456693755056934172238252678762025890251561318667990989
  245. Fri Nov 1 09:40:34 2024 elapsed time 04:20:37
  246.  
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