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Aug 4th, 2025
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  1. Sun Aug 3 09:58:52 2025
  2. Sun Aug 3 09:58:52 2025
  3. Sun Aug 3 09:58:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Aug 3 09:58:52 2025 random seeds: f5df5978 4bbe0fb8
  5. Sun Aug 3 09:58:52 2025 MPI process 0 of 1
  6. Sun Aug 3 09:58:52 2025 Using 32 OpenMP threads
  7. Sun Aug 3 09:58:52 2025 factoring 657204190675731953950424681872824466993207974070271379016217824313400225967539645319032727736091617105301881869519444338115693846106539334961856173140312102186998396723038611 (174 digits)
  8. Sun Aug 3 09:58:53 2025 searching for 15-digit factors
  9. Sun Aug 3 09:58:54 2025 commencing number field sieve (174-digit input)
  10. Sun Aug 3 09:58:54 2025 R0: -3422830828861028647392597567857585
  11. Sun Aug 3 09:58:54 2025 R1: 1150686891937076158220471
  12. Sun Aug 3 09:58:54 2025 A0: -12936940866005530265783854128389596011624
  13. Sun Aug 3 09:58:54 2025 A1: 87419010944763347340194571310860255
  14. Sun Aug 3 09:58:54 2025 A2: 3002422774882843471225724030
  15. Sun Aug 3 09:58:54 2025 A3: -2891335500384588614905
  16. Sun Aug 3 09:58:54 2025 A4: -46790916077856
  17. Sun Aug 3 09:58:54 2025 A5: 22397760
  18. Sun Aug 3 09:58:54 2025 skew 7651498.89, size 6.031e-17, alpha -7.888, combined = 2.133e-13 rroots = 5
  19. Sun Aug 3 09:58:54 2025
  20. Sun Aug 3 09:58:54 2025 commencing relation filtering
  21. Sun Aug 3 09:58:54 2025 setting target matrix density to 130.0
  22. Sun Aug 3 09:58:54 2025 estimated available RAM is 257736.5 MB
  23. Sun Aug 3 09:58:54 2025 commencing duplicate removal, pass 1
  24. Sun Aug 3 09:59:50 2025 error -1 reading relation 25756167
  25. Sun Aug 3 10:00:09 2025 error -11 reading relation 34716916
  26. Sun Aug 3 10:00:10 2025 error -1 reading relation 35403322
  27. Sun Aug 3 10:02:52 2025 error -1 reading relation 111177651
  28. Sun Aug 3 10:02:56 2025 error -1 reading relation 112999724
  29. Sun Aug 3 10:02:58 2025 error -1 reading relation 114122226
  30. Sun Aug 3 10:03:54 2025 error -1 reading relation 138979362
  31. Sun Aug 3 10:05:11 2025 error -1 reading relation 173306833
  32. Sun Aug 3 10:05:31 2025 error -1 reading relation 183010064
  33. Sun Aug 3 10:06:12 2025 error -1 reading relation 200588039
  34. Sun Aug 3 10:06:58 2025 error -1 reading relation 220478999
  35. Sun Aug 3 10:07:29 2025 error -1 reading relation 234470937
  36. Sun Aug 3 10:07:32 2025 error -1 reading relation 236008249
  37. Sun Aug 3 10:07:59 2025 error -1 reading relation 248483079
  38. Sun Aug 3 10:08:09 2025 error -1 reading relation 252527577
  39. Sun Aug 3 10:08:17 2025 skipped 1 relations with composite factors
  40. Sun Aug 3 10:08:17 2025 skipped 100 malformed relations
  41. Sun Aug 3 10:08:17 2025 found 51238958 hash collisions in 256530416 relations
  42. Sun Aug 3 10:08:44 2025 added 121936 free relations
  43. Sun Aug 3 10:08:44 2025 commencing duplicate removal, pass 2
  44. Sun Aug 3 10:15:08 2025 found 51099968 duplicates and 205552384 unique relations
  45. Sun Aug 3 10:15:08 2025 memory use: 1449.5 MB
  46. Sun Aug 3 10:15:08 2025 reading ideals above 720000
  47. Sun Aug 3 10:15:08 2025 commencing singleton removal, initial pass
  48. Sun Aug 3 10:32:00 2025 memory use: 5512.0 MB
  49. Sun Aug 3 10:32:00 2025 reading all ideals from disk
  50. Sun Aug 3 10:32:05 2025 memory use: 9789.9 MB
  51. Sun Aug 3 10:32:37 2025 keeping 179972224 ideals with weight <= 200, target excess is 1049426
  52. Sun Aug 3 10:33:15 2025 commencing in-memory singleton removal
  53. Sun Aug 3 10:33:20 2025 begin with 205552384 relations and 179972224 unique ideals
  54. Sun Aug 3 10:33:37 2025 reduce to 145961927 relations and 115277572 ideals in 13 passes
  55. Sun Aug 3 10:33:37 2025 max relations containing the same ideal: 171
  56. Sun Aug 3 10:34:44 2025 removing 10222824 relations and 8222824 ideals in 2000000 cliques
  57. Sun Aug 3 10:34:50 2025 commencing in-memory singleton removal
  58. Sun Aug 3 10:34:53 2025 begin with 135739103 relations and 115277572 unique ideals
  59. Sun Aug 3 10:35:04 2025 reduce to 135156539 relations and 106461629 ideals in 9 passes
  60. Sun Aug 3 10:35:04 2025 max relations containing the same ideal: 163
  61. Sun Aug 3 10:36:11 2025 removing 7873305 relations and 5873305 ideals in 2000000 cliques
  62. Sun Aug 3 10:36:17 2025 commencing in-memory singleton removal
  63. Sun Aug 3 10:36:21 2025 begin with 127283234 relations and 106461629 unique ideals
  64. Sun Aug 3 10:36:29 2025 reduce to 126891188 relations and 100190128 ideals in 7 passes
  65. Sun Aug 3 10:36:29 2025 max relations containing the same ideal: 156
  66. Sun Aug 3 10:37:29 2025 removing 7192734 relations and 5192734 ideals in 2000000 cliques
  67. Sun Aug 3 10:37:34 2025 commencing in-memory singleton removal
  68. Sun Aug 3 10:37:37 2025 begin with 119698454 relations and 100190128 unique ideals
  69. Sun Aug 3 10:37:44 2025 reduce to 119352449 relations and 94646269 ideals in 6 passes
  70. Sun Aug 3 10:37:44 2025 max relations containing the same ideal: 147
  71. Sun Aug 3 10:38:45 2025 removing 6842071 relations and 4842071 ideals in 2000000 cliques
  72. Sun Aug 3 10:38:49 2025 commencing in-memory singleton removal
  73. Sun Aug 3 10:38:52 2025 begin with 112510378 relations and 94646269 unique ideals
  74. Sun Aug 3 10:38:59 2025 reduce to 112183868 relations and 89472610 ideals in 7 passes
  75. Sun Aug 3 10:38:59 2025 max relations containing the same ideal: 143
  76. Sun Aug 3 10:39:55 2025 removing 6637687 relations and 4637687 ideals in 2000000 cliques
  77. Sun Aug 3 10:39:59 2025 commencing in-memory singleton removal
  78. Sun Aug 3 10:40:02 2025 begin with 105546181 relations and 89472610 unique ideals
  79. Sun Aug 3 10:40:08 2025 reduce to 105226297 relations and 84509851 ideals in 7 passes
  80. Sun Aug 3 10:40:08 2025 max relations containing the same ideal: 138
  81. Sun Aug 3 10:40:58 2025 removing 6506731 relations and 4506731 ideals in 2000000 cliques
  82. Sun Aug 3 10:41:03 2025 commencing in-memory singleton removal
  83. Sun Aug 3 10:41:05 2025 begin with 98719566 relations and 84509851 unique ideals
  84. Sun Aug 3 10:41:11 2025 reduce to 98398991 relations and 79676990 ideals in 7 passes
  85. Sun Aug 3 10:41:11 2025 max relations containing the same ideal: 136
  86. Sun Aug 3 10:42:02 2025 removing 6423657 relations and 4423657 ideals in 2000000 cliques
  87. Sun Aug 3 10:42:06 2025 commencing in-memory singleton removal
  88. Sun Aug 3 10:42:08 2025 begin with 91975334 relations and 79676990 unique ideals
  89. Sun Aug 3 10:42:14 2025 reduce to 91644221 relations and 74916133 ideals in 7 passes
  90. Sun Aug 3 10:42:14 2025 max relations containing the same ideal: 128
  91. Sun Aug 3 10:42:58 2025 removing 6374977 relations and 4374977 ideals in 2000000 cliques
  92. Sun Aug 3 10:43:02 2025 commencing in-memory singleton removal
  93. Sun Aug 3 10:43:04 2025 begin with 85269244 relations and 74916133 unique ideals
  94. Sun Aug 3 10:43:10 2025 reduce to 84922763 relations and 70187978 ideals in 7 passes
  95. Sun Aug 3 10:43:10 2025 max relations containing the same ideal: 121
  96. Sun Aug 3 10:43:53 2025 removing 6355999 relations and 4355999 ideals in 2000000 cliques
  97. Sun Aug 3 10:43:57 2025 commencing in-memory singleton removal
  98. Sun Aug 3 10:43:59 2025 begin with 78566764 relations and 70187978 unique ideals
  99. Sun Aug 3 10:44:03 2025 reduce to 78197075 relations and 65454618 ideals in 7 passes
  100. Sun Aug 3 10:44:03 2025 max relations containing the same ideal: 112
  101. Sun Aug 3 10:44:43 2025 removing 6367713 relations and 4367713 ideals in 2000000 cliques
  102. Sun Aug 3 10:44:46 2025 commencing in-memory singleton removal
  103. Sun Aug 3 10:44:48 2025 begin with 71829362 relations and 65454618 unique ideals
  104. Sun Aug 3 10:44:52 2025 reduce to 71429777 relations and 60678224 ideals in 7 passes
  105. Sun Aug 3 10:44:52 2025 max relations containing the same ideal: 107
  106. Sun Aug 3 10:45:27 2025 removing 6401973 relations and 4401973 ideals in 2000000 cliques
  107. Sun Aug 3 10:45:30 2025 commencing in-memory singleton removal
  108. Sun Aug 3 10:45:31 2025 begin with 65027804 relations and 60678224 unique ideals
  109. Sun Aug 3 10:45:35 2025 reduce to 64583956 relations and 55821655 ideals in 7 passes
  110. Sun Aug 3 10:45:35 2025 max relations containing the same ideal: 98
  111. Sun Aug 3 10:46:07 2025 removing 6467928 relations and 4467928 ideals in 2000000 cliques
  112. Sun Aug 3 10:46:10 2025 commencing in-memory singleton removal
  113. Sun Aug 3 10:46:11 2025 begin with 58116028 relations and 55821655 unique ideals
  114. Sun Aug 3 10:46:15 2025 reduce to 57611303 relations and 50835522 ideals in 9 passes
  115. Sun Aug 3 10:46:15 2025 max relations containing the same ideal: 92
  116. Sun Aug 3 10:46:55 2025 removing 6577986 relations and 4577986 ideals in 2000000 cliques
  117. Sun Aug 3 10:46:59 2025 commencing in-memory singleton removal
  118. Sun Aug 3 10:47:00 2025 begin with 51033317 relations and 50835522 unique ideals
  119. Sun Aug 3 10:47:04 2025 reduce to 50437274 relations and 45643754 ideals in 9 passes
  120. Sun Aug 3 10:47:04 2025 max relations containing the same ideal: 83
  121. Sun Aug 3 10:47:39 2025 removing 6738838 relations and 4738838 ideals in 2000000 cliques
  122. Sun Aug 3 10:47:42 2025 commencing in-memory singleton removal
  123. Sun Aug 3 10:47:43 2025 begin with 43698436 relations and 45643754 unique ideals
  124. Sun Aug 3 10:47:46 2025 reduce to 42966541 relations and 40148444 ideals in 8 passes
  125. Sun Aug 3 10:47:46 2025 max relations containing the same ideal: 75
  126. Sun Aug 3 10:48:12 2025 removing 5839489 relations and 4238727 ideals in 1600762 cliques
  127. Sun Aug 3 10:48:15 2025 commencing in-memory singleton removal
  128. Sun Aug 3 10:48:16 2025 begin with 37127052 relations and 40148444 unique ideals
  129. Sun Aug 3 10:48:18 2025 reduce to 36458820 relations and 35219886 ideals in 10 passes
  130. Sun Aug 3 10:48:18 2025 max relations containing the same ideal: 66
  131. Sun Aug 3 10:48:46 2025 removing 173108 relations and 151509 ideals in 21599 cliques
  132. Sun Aug 3 10:48:48 2025 commencing in-memory singleton removal
  133. Sun Aug 3 10:48:48 2025 begin with 36285712 relations and 35219886 unique ideals
  134. Sun Aug 3 10:48:50 2025 reduce to 36285102 relations and 35067767 ideals in 5 passes
  135. Sun Aug 3 10:48:50 2025 max relations containing the same ideal: 66
  136. Sun Aug 3 10:48:55 2025 relations with 0 large ideals: 3561
  137. Sun Aug 3 10:48:55 2025 relations with 1 large ideals: 21373
  138. Sun Aug 3 10:48:55 2025 relations with 2 large ideals: 284121
  139. Sun Aug 3 10:48:55 2025 relations with 3 large ideals: 1625029
  140. Sun Aug 3 10:48:55 2025 relations with 4 large ideals: 4968842
  141. Sun Aug 3 10:48:55 2025 relations with 5 large ideals: 8943198
  142. Sun Aug 3 10:48:55 2025 relations with 6 large ideals: 9937740
  143. Sun Aug 3 10:48:55 2025 relations with 7+ large ideals: 10501238
  144. Sun Aug 3 10:48:55 2025 commencing 2-way merge
  145. Sun Aug 3 10:49:28 2025 reduce to 22849123 relation sets and 21631788 unique ideals
  146. Sun Aug 3 10:49:28 2025 commencing full merge
  147. Sun Aug 3 11:00:04 2025 memory use: 2610.1 MB
  148. Sun Aug 3 11:00:06 2025 found 9777843 cycles, need 9729988
  149. Sun Aug 3 11:00:09 2025 weight of 9729988 cycles is about 1265192925 (130.03/cycle)
  150. Sun Aug 3 11:00:09 2025 distribution of cycle lengths:
  151. Sun Aug 3 11:00:09 2025 1 relations: 618109
  152. Sun Aug 3 11:00:09 2025 2 relations: 598165
  153. Sun Aug 3 11:00:09 2025 3 relations: 629770
  154. Sun Aug 3 11:00:09 2025 4 relations: 636633
  155. Sun Aug 3 11:00:09 2025 5 relations: 651922
  156. Sun Aug 3 11:00:09 2025 6 relations: 652278
  157. Sun Aug 3 11:00:09 2025 7 relations: 652420
  158. Sun Aug 3 11:00:09 2025 8 relations: 626265
  159. Sun Aug 3 11:00:09 2025 9 relations: 598383
  160. Sun Aug 3 11:00:09 2025 10+ relations: 4066043
  161. Sun Aug 3 11:00:09 2025 heaviest cycle: 28 relations
  162. Sun Aug 3 11:00:12 2025 commencing cycle optimization
  163. Sun Aug 3 11:00:32 2025 start with 88375686 relations
  164. Sun Aug 3 11:04:05 2025 pruned 4163222 relations
  165. Sun Aug 3 11:04:05 2025 memory use: 2376.0 MB
  166. Sun Aug 3 11:04:06 2025 distribution of cycle lengths:
  167. Sun Aug 3 11:04:06 2025 1 relations: 618109
  168. Sun Aug 3 11:04:06 2025 2 relations: 614394
  169. Sun Aug 3 11:04:06 2025 3 relations: 656667
  170. Sun Aug 3 11:04:06 2025 4 relations: 664164
  171. Sun Aug 3 11:04:06 2025 5 relations: 685129
  172. Sun Aug 3 11:04:06 2025 6 relations: 685855
  173. Sun Aug 3 11:04:06 2025 7 relations: 688476
  174. Sun Aug 3 11:04:06 2025 8 relations: 658279
  175. Sun Aug 3 11:04:06 2025 9 relations: 629070
  176. Sun Aug 3 11:04:06 2025 10+ relations: 3829845
  177. Sun Aug 3 11:04:06 2025 heaviest cycle: 28 relations
  178. Sun Aug 3 11:04:27 2025 RelProcTime: 3933
  179. Sun Aug 3 11:04:27 2025
  180. Sun Aug 3 11:04:27 2025 commencing linear algebra
  181. Sun Aug 3 11:04:27 2025 using VBITS=256
  182. Sun Aug 3 11:04:27 2025 stopping after matrix build
  183. Sun Aug 3 11:04:27 2025 initialized process (0,0) of 1 x 1 grid
  184. Sun Aug 3 11:04:28 2025 read 9729988 cycles
  185. Sun Aug 3 11:04:48 2025 cycles contain 35531588 unique relations
  186. Sun Aug 3 11:08:49 2025 read 35531588 relations
  187. Sun Aug 3 11:08:55 2025 using 20 quadratic characters above 4294917295
  188. Sun Aug 3 11:09:01 2025 building initial matrix
  189. Sun Aug 3 11:18:27 2025 memory use: 4849.5 MB
  190. Sun Aug 3 11:18:35 2025 read 9729988 cycles
  191. Sun Aug 3 11:18:36 2025 matrix is 9729810 x 9729988 (4890.3 MB) with weight 1487141978 (152.84/col)
  192. Sun Aug 3 11:18:36 2025 sparse part has weight 1165206689 (119.75/col)
  193. Sun Aug 3 11:21:47 2025 filtering completed in 2 passes
  194. Sun Aug 3 11:21:50 2025 matrix is 9729398 x 9729573 (4890.3 MB) with weight 1487120466 (152.85/col)
  195. Sun Aug 3 11:21:50 2025 sparse part has weight 1165199690 (119.76/col)
  196. Sun Aug 3 11:22:59 2025 BLanczosTime: 1112
  197. Sun Aug 3 11:22:59 2025 elapsed time 01:24:07
  198. Sun Aug 3 11:29:52 2025
  199. Sun Aug 3 11:29:52 2025
  200. Sun Aug 3 11:29:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  201. Sun Aug 3 11:29:52 2025 random seeds: 31936f96 195879a6
  202. Sun Aug 3 11:29:52 2025 MPI process 0 of 1
  203. Sun Aug 3 11:29:52 2025 Using 64 OpenMP threads
  204. Sun Aug 3 11:29:52 2025 factoring 657204190675731953950424681872824466993207974070271379016217824313400225967539645319032727736091617105301881869519444338115693846106539334961856173140312102186998396723038611 (174 digits)
  205. Sun Aug 3 11:29:53 2025 searching for 15-digit factors
  206. Sun Aug 3 11:29:53 2025 commencing number field sieve (174-digit input)
  207. Sun Aug 3 11:29:53 2025 R0: -3422830828861028647392597567857585
  208. Sun Aug 3 11:29:53 2025 R1: 1150686891937076158220471
  209. Sun Aug 3 11:29:53 2025 A0: -12936940866005530265783854128389596011624
  210. Sun Aug 3 11:29:53 2025 A1: 87419010944763347340194571310860255
  211. Sun Aug 3 11:29:53 2025 A2: 3002422774882843471225724030
  212. Sun Aug 3 11:29:53 2025 A3: -2891335500384588614905
  213. Sun Aug 3 11:29:53 2025 A4: -46790916077856
  214. Sun Aug 3 11:29:53 2025 A5: 22397760
  215. Sun Aug 3 11:29:53 2025 skew 7651498.89, size 6.031e-17, alpha -7.888, combined = 2.133e-13 rroots = 5
  216. Sun Aug 3 11:29:53 2025
  217. Sun Aug 3 11:29:53 2025 commencing linear algebra
  218. Sun Aug 3 11:29:53 2025 using VBITS=256
  219. Sun Aug 3 11:29:53 2025 skipping matrix build
  220. Sun Aug 3 11:29:53 2025 initialized process (0,0) of 1 x 1 grid
  221. Sun Aug 3 11:29:59 2025 matrix starts at (0, 0)
  222. Sun Aug 3 11:30:00 2025 matrix is 9729398 x 9729573 (4890.3 MB) with weight 1487120466 (152.85/col)
  223. Sun Aug 3 11:30:00 2025 sparse part has weight 1165199690 (119.76/col)
  224. Sun Aug 3 11:30:00 2025 saving the first 240 matrix rows for later
  225. Sun Aug 3 11:30:03 2025 matrix includes 256 packed rows
  226. Sun Aug 3 11:30:06 2025 matrix is 9729158 x 9729573 (4401.9 MB) with weight 1067401240 (109.71/col)
  227. Sun Aug 3 11:30:06 2025 sparse part has weight 998269876 (102.60/col)
  228. Sun Aug 3 11:30:06 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  229. Sun Aug 3 11:30:28 2025 commencing Lanczos iteration (64 threads)
  230. Sun Aug 3 11:30:28 2025 memory use: 6230.9 MB
  231. Sun Aug 3 11:31:53 2025 linear algebra at 0.3%, ETA 7h18m
  232. Sun Aug 3 11:33:54 2025 checking every 20000 dimensions, checkpointing every 1360000 dimensions
  233. Sun Aug 3 18:42:23 2025 lanczos halted after 38119 iterations (dim = 9729156)
  234. Sun Aug 3 18:43:13 2025 recovered 28 nontrivial dependencies
  235. Sun Aug 3 18:43:14 2025 BLanczosTime: 26001
  236. Sun Aug 3 18:43:14 2025
  237. Sun Aug 3 18:43:14 2025 commencing square root phase
  238. Sun Aug 3 18:43:14 2025 handling dependencies 1 to 64
  239. Sun Aug 3 18:43:14 2025 reading relations for dependency 1
  240. Sun Aug 3 18:43:14 2025 read 4864471 cycles
  241. Sun Aug 3 18:43:22 2025 cycles contain 17764806 unique relations
  242. Sun Aug 3 18:47:00 2025 read 17764806 relations
  243. Sun Aug 3 18:48:43 2025 multiplying 17764806 relations
  244. Sun Aug 3 18:51:35 2025 multiply complete, coefficients have about 1086.38 million bits
  245. Sun Aug 3 18:51:39 2025 initial square root is modulo 74707
  246. Sun Aug 3 19:01:48 2025 sqrtTime: 1114
  247. Sun Aug 3 19:01:48 2025 p58 factor: 1224056232671328389914050905244520409162945985399231235591
  248. Sun Aug 3 19:01:48 2025 p117 factor: 536906861902477642722894684564778726897373604942681094728787516973946689648634339630408343827460226673024566245203221
  249. Sun Aug 3 19:01:48 2025 elapsed time 07:31:56
  250.  
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