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Aug 29th, 2025
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  1. Thu Aug 28 13:48:29 2025
  2. Thu Aug 28 13:48:29 2025
  3. Thu Aug 28 13:48:29 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Aug 28 13:48:29 2025 random seeds: 9acc21a9 4d1ad534
  5. Thu Aug 28 13:48:29 2025 MPI process 0 of 1
  6. Thu Aug 28 13:48:29 2025 Using 32 OpenMP threads
  7. Thu Aug 28 13:48:29 2025 factoring 120774371082274140473899597554893463265293969359264455037177075685269187495083536717754960534269962312561050964439929769996299203818834875291195727769996435926386289 (165 digits)
  8. Thu Aug 28 13:48:30 2025 searching for 15-digit factors
  9. Thu Aug 28 13:48:31 2025 commencing number field sieve (165-digit input)
  10. Thu Aug 28 13:48:31 2025 R0: 71816245248625951554952213271615
  11. Thu Aug 28 13:48:31 2025 R1: -90894021490236551685109
  12. Thu Aug 28 13:48:31 2025 A0: 215705453286067977292480956359168667036
  13. Thu Aug 28 13:48:31 2025 A1: 585188124283964682400825176132450
  14. Thu Aug 28 13:48:31 2025 A2: -97605254425022849834724534
  15. Thu Aug 28 13:48:31 2025 A3: -20067839078499422687
  16. Thu Aug 28 13:48:31 2025 A4: 200162135486
  17. Thu Aug 28 13:48:31 2025 A5: 63000
  18. Thu Aug 28 13:48:31 2025 skew 9922144.88, size 6.348e-16, alpha -6.072, combined = 8.821e-13 rroots = 5
  19. Thu Aug 28 13:48:31 2025
  20. Thu Aug 28 13:48:31 2025 commencing relation filtering
  21. Thu Aug 28 13:48:31 2025 setting target matrix density to 120.0
  22. Thu Aug 28 13:48:31 2025 estimated available RAM is 257736.5 MB
  23. Thu Aug 28 13:48:31 2025 commencing duplicate removal, pass 1
  24. Thu Aug 28 13:59:47 2025 skipped 54 malformed relations
  25. Thu Aug 28 13:59:47 2025 found 48080127 hash collisions in 273772572 relations
  26. Thu Aug 28 14:00:23 2025 commencing duplicate removal, pass 2
  27. Thu Aug 28 14:09:47 2025 found 49018696 duplicates and 224753876 unique relations
  28. Thu Aug 28 14:09:47 2025 memory use: 1577.5 MB
  29. Thu Aug 28 14:09:47 2025 reading ideals above 720000
  30. Thu Aug 28 14:09:47 2025 commencing singleton removal, initial pass
  31. Thu Aug 28 14:36:17 2025 memory use: 6024.0 MB
  32. Thu Aug 28 14:36:18 2025 reading all ideals from disk
  33. Thu Aug 28 14:36:25 2025 memory use: 10257.4 MB
  34. Thu Aug 28 14:37:16 2025 keeping 221518735 ideals with weight <= 200, target excess is 1102640
  35. Thu Aug 28 14:38:20 2025 commencing in-memory singleton removal
  36. Thu Aug 28 14:38:26 2025 begin with 224753876 relations and 221518735 unique ideals
  37. Thu Aug 28 14:38:48 2025 reduce to 114469306 relations and 96452896 ideals in 16 passes
  38. Thu Aug 28 14:38:48 2025 max relations containing the same ideal: 139
  39. Thu Aug 28 14:40:12 2025 removing 12512456 relations and 10512456 ideals in 2000000 cliques
  40. Thu Aug 28 14:40:18 2025 commencing in-memory singleton removal
  41. Thu Aug 28 14:40:21 2025 begin with 101956850 relations and 96452896 unique ideals
  42. Thu Aug 28 14:40:30 2025 reduce to 100887106 relations and 84846151 ideals in 10 passes
  43. Thu Aug 28 14:40:30 2025 max relations containing the same ideal: 123
  44. Thu Aug 28 14:41:42 2025 removing 9524013 relations and 7524013 ideals in 2000000 cliques
  45. Thu Aug 28 14:41:48 2025 commencing in-memory singleton removal
  46. Thu Aug 28 14:41:50 2025 begin with 91363093 relations and 84846151 unique ideals
  47. Thu Aug 28 14:41:56 2025 reduce to 90628744 relations and 76572834 ideals in 8 passes
  48. Thu Aug 28 14:41:56 2025 max relations containing the same ideal: 116
  49. Thu Aug 28 14:43:12 2025 removing 8630730 relations and 6630730 ideals in 2000000 cliques
  50. Thu Aug 28 14:43:20 2025 commencing in-memory singleton removal
  51. Thu Aug 28 14:43:22 2025 begin with 81998014 relations and 76572834 unique ideals
  52. Thu Aug 28 14:43:28 2025 reduce to 81321523 relations and 69251375 ideals in 10 passes
  53. Thu Aug 28 14:43:28 2025 max relations containing the same ideal: 106
  54. Thu Aug 28 14:43:57 2025 removing 8201425 relations and 6201425 ideals in 2000000 cliques
  55. Thu Aug 28 14:44:00 2025 commencing in-memory singleton removal
  56. Thu Aug 28 14:44:01 2025 begin with 73120098 relations and 69251375 unique ideals
  57. Thu Aug 28 14:44:06 2025 reduce to 72443759 relations and 62358049 ideals in 8 passes
  58. Thu Aug 28 14:44:06 2025 max relations containing the same ideal: 100
  59. Thu Aug 28 14:44:33 2025 removing 7967398 relations and 5967398 ideals in 2000000 cliques
  60. Thu Aug 28 14:44:36 2025 commencing in-memory singleton removal
  61. Thu Aug 28 14:44:37 2025 begin with 64476361 relations and 62358049 unique ideals
  62. Thu Aug 28 14:44:41 2025 reduce to 63764641 relations and 55661423 ideals in 9 passes
  63. Thu Aug 28 14:44:41 2025 max relations containing the same ideal: 90
  64. Thu Aug 28 14:45:05 2025 removing 7849013 relations and 5849013 ideals in 2000000 cliques
  65. Thu Aug 28 14:45:07 2025 commencing in-memory singleton removal
  66. Thu Aug 28 14:45:08 2025 begin with 55915628 relations and 55661423 unique ideals
  67. Thu Aug 28 14:45:12 2025 reduce to 55132384 relations and 49007014 ideals in 10 passes
  68. Thu Aug 28 14:45:12 2025 max relations containing the same ideal: 83
  69. Thu Aug 28 14:45:33 2025 removing 7813834 relations and 5813834 ideals in 2000000 cliques
  70. Thu Aug 28 14:45:35 2025 commencing in-memory singleton removal
  71. Thu Aug 28 14:45:36 2025 begin with 47318550 relations and 49007014 unique ideals
  72. Thu Aug 28 14:45:39 2025 reduce to 46407786 relations and 42253021 ideals in 10 passes
  73. Thu Aug 28 14:45:39 2025 max relations containing the same ideal: 75
  74. Thu Aug 28 14:45:56 2025 removing 7862720 relations and 5862720 ideals in 2000000 cliques
  75. Thu Aug 28 14:45:59 2025 commencing in-memory singleton removal
  76. Thu Aug 28 14:45:59 2025 begin with 38545066 relations and 42253021 unique ideals
  77. Thu Aug 28 14:46:01 2025 reduce to 37421541 relations and 35223509 ideals in 9 passes
  78. Thu Aug 28 14:46:01 2025 max relations containing the same ideal: 64
  79. Thu Aug 28 14:46:17 2025 removing 4463895 relations and 3544926 ideals in 918969 cliques
  80. Thu Aug 28 14:46:19 2025 commencing in-memory singleton removal
  81. Thu Aug 28 14:46:19 2025 begin with 32957646 relations and 35223509 unique ideals
  82. Thu Aug 28 14:46:21 2025 reduce to 32537998 relations and 31249799 ideals in 8 passes
  83. Thu Aug 28 14:46:21 2025 max relations containing the same ideal: 58
  84. Thu Aug 28 14:46:33 2025 removing 91825 relations and 82689 ideals in 9136 cliques
  85. Thu Aug 28 14:46:34 2025 commencing in-memory singleton removal
  86. Thu Aug 28 14:46:35 2025 begin with 32446173 relations and 31249799 unique ideals
  87. Thu Aug 28 14:46:36 2025 reduce to 32445996 relations and 31166933 ideals in 5 passes
  88. Thu Aug 28 14:46:36 2025 max relations containing the same ideal: 58
  89. Thu Aug 28 14:46:39 2025 relations with 0 large ideals: 3881
  90. Thu Aug 28 14:46:39 2025 relations with 1 large ideals: 39013
  91. Thu Aug 28 14:46:39 2025 relations with 2 large ideals: 476480
  92. Thu Aug 28 14:46:39 2025 relations with 3 large ideals: 2383011
  93. Thu Aug 28 14:46:39 2025 relations with 4 large ideals: 6208094
  94. Thu Aug 28 14:46:39 2025 relations with 5 large ideals: 9264727
  95. Thu Aug 28 14:46:39 2025 relations with 6 large ideals: 8233198
  96. Thu Aug 28 14:46:39 2025 relations with 7+ large ideals: 5837592
  97. Thu Aug 28 14:46:39 2025 commencing 2-way merge
  98. Thu Aug 28 14:46:57 2025 reduce to 19083157 relation sets and 17804094 unique ideals
  99. Thu Aug 28 14:46:57 2025 commencing full merge
  100. Thu Aug 28 14:57:30 2025 memory use: 2113.5 MB
  101. Thu Aug 28 14:57:33 2025 found 8257283 cycles, need 8194294
  102. Thu Aug 28 14:57:37 2025 weight of 8194294 cycles is about 984075847 (120.09/cycle)
  103. Thu Aug 28 14:57:37 2025 distribution of cycle lengths:
  104. Thu Aug 28 14:57:37 2025 1 relations: 615033
  105. Thu Aug 28 14:57:37 2025 2 relations: 562659
  106. Thu Aug 28 14:57:37 2025 3 relations: 559295
  107. Thu Aug 28 14:57:37 2025 4 relations: 544189
  108. Thu Aug 28 14:57:37 2025 5 relations: 544792
  109. Thu Aug 28 14:57:37 2025 6 relations: 524435
  110. Thu Aug 28 14:57:37 2025 7 relations: 519585
  111. Thu Aug 28 14:57:37 2025 8 relations: 493473
  112. Thu Aug 28 14:57:37 2025 9 relations: 475306
  113. Thu Aug 28 14:57:37 2025 10+ relations: 3355527
  114. Thu Aug 28 14:57:37 2025 heaviest cycle: 28 relations
  115. Thu Aug 28 14:57:43 2025 commencing cycle optimization
  116. Thu Aug 28 14:58:19 2025 start with 73106389 relations
  117. Thu Aug 28 15:03:13 2025 pruned 2822748 relations
  118. Thu Aug 28 15:03:13 2025 memory use: 2049.9 MB
  119. Thu Aug 28 15:03:14 2025 distribution of cycle lengths:
  120. Thu Aug 28 15:03:14 2025 1 relations: 615033
  121. Thu Aug 28 15:03:14 2025 2 relations: 576192
  122. Thu Aug 28 15:03:14 2025 3 relations: 579989
  123. Thu Aug 28 15:03:14 2025 4 relations: 563100
  124. Thu Aug 28 15:03:14 2025 5 relations: 566446
  125. Thu Aug 28 15:03:14 2025 6 relations: 545647
  126. Thu Aug 28 15:03:14 2025 7 relations: 540746
  127. Thu Aug 28 15:03:14 2025 8 relations: 513298
  128. Thu Aug 28 15:03:14 2025 9 relations: 492906
  129. Thu Aug 28 15:03:14 2025 10+ relations: 3200937
  130. Thu Aug 28 15:03:14 2025 heaviest cycle: 28 relations
  131. Thu Aug 28 15:03:42 2025 RelProcTime: 4511
  132. Thu Aug 28 15:03:42 2025
  133. Thu Aug 28 15:03:42 2025 commencing linear algebra
  134. Thu Aug 28 15:03:42 2025 using VBITS=256
  135. Thu Aug 28 15:03:42 2025 stopping after matrix build
  136. Thu Aug 28 15:03:42 2025 initialized process (0,0) of 1 x 1 grid
  137. Thu Aug 28 15:03:43 2025 read 8194294 cycles
  138. Thu Aug 28 15:04:12 2025 cycles contain 31509619 unique relations
  139. Thu Aug 28 15:10:18 2025 read 31509619 relations
  140. Thu Aug 28 15:10:23 2025 using 20 quadratic characters above 4294917295
  141. Thu Aug 28 15:10:29 2025 building initial matrix
  142. Thu Aug 28 15:20:20 2025 memory use: 4060.4 MB
  143. Thu Aug 28 15:20:31 2025 read 8194294 cycles
  144. Thu Aug 28 15:20:33 2025 matrix is 8194116 x 8194294 (3856.2 MB) with weight 1172824709 (143.13/col)
  145. Thu Aug 28 15:20:33 2025 sparse part has weight 920734015 (112.36/col)
  146. Thu Aug 28 15:24:05 2025 filtering completed in 2 passes
  147. Thu Aug 28 15:24:09 2025 matrix is 8193115 x 8193292 (3856.0 MB) with weight 1172770728 (143.14/col)
  148. Thu Aug 28 15:24:09 2025 sparse part has weight 920713609 (112.37/col)
  149. Thu Aug 28 15:25:16 2025 BLanczosTime: 1294
  150. Thu Aug 28 15:25:16 2025 elapsed time 01:36:47
  151. Fri Aug 29 19:39:48 2025
  152. Fri Aug 29 19:39:48 2025
  153. Fri Aug 29 19:39:48 2025 Msieve v. 1.54 (SVN Unversioned directory)
  154. Fri Aug 29 19:39:48 2025 random seeds: 3a9d4d24 e86e40f5
  155. Fri Aug 29 19:39:48 2025 MPI process 0 of 1
  156. Fri Aug 29 19:39:48 2025 Using 64 OpenMP threads
  157. Fri Aug 29 19:39:48 2025 factoring 120774371082274140473899597554893463265293969359264455037177075685269187495083536717754960534269962312561050964439929769996299203818834875291195727769996435926386289 (165 digits)
  158. Fri Aug 29 19:39:49 2025 searching for 15-digit factors
  159. Fri Aug 29 19:39:49 2025 commencing number field sieve (165-digit input)
  160. Fri Aug 29 19:39:49 2025 R0: 71816245248625951554952213271615
  161. Fri Aug 29 19:39:49 2025 R1: -90894021490236551685109
  162. Fri Aug 29 19:39:49 2025 A0: 215705453286067977292480956359168667036
  163. Fri Aug 29 19:39:49 2025 A1: 585188124283964682400825176132450
  164. Fri Aug 29 19:39:49 2025 A2: -97605254425022849834724534
  165. Fri Aug 29 19:39:49 2025 A3: -20067839078499422687
  166. Fri Aug 29 19:39:49 2025 A4: 200162135486
  167. Fri Aug 29 19:39:49 2025 A5: 63000
  168. Fri Aug 29 19:39:49 2025 skew 9922144.88, size 6.348e-16, alpha -6.072, combined = 8.821e-13 rroots = 5
  169. Fri Aug 29 19:39:49 2025
  170. Fri Aug 29 19:39:49 2025 commencing linear algebra
  171. Fri Aug 29 19:39:49 2025 using VBITS=256
  172. Fri Aug 29 19:39:49 2025 skipping matrix build
  173. Fri Aug 29 19:39:49 2025 initialized process (0,0) of 1 x 1 grid
  174. Fri Aug 29 19:39:56 2025 matrix starts at (0, 0)
  175. Fri Aug 29 19:40:00 2025 matrix is 8193115 x 8193292 (3856.0 MB) with weight 1172770728 (143.14/col)
  176. Fri Aug 29 19:40:00 2025 sparse part has weight 920713609 (112.37/col)
  177. Fri Aug 29 19:40:00 2025 saving the first 240 matrix rows for later
  178. Fri Aug 29 19:40:03 2025 matrix includes 256 packed rows
  179. Fri Aug 29 19:40:08 2025 matrix is 8192875 x 8193292 (3500.8 MB) with weight 838439567 (102.33/col)
  180. Fri Aug 29 19:40:08 2025 sparse part has weight 786632892 (96.01/col)
  181. Fri Aug 29 19:40:08 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  182. Fri Aug 29 19:40:30 2025 commencing Lanczos iteration (64 threads)
  183. Fri Aug 29 19:40:30 2025 memory use: 5053.4 MB
  184. Fri Aug 29 19:41:36 2025 linear algebra at 0.4%, ETA 4h44m
  185. Fri Aug 29 19:43:12 2025 checking every 20000 dimensions, checkpointing every 1740000 dimensions
  186. Sat Aug 30 00:19:52 2025 lanczos halted after 32101 iterations (dim = 8192873)
  187. Sat Aug 30 00:20:30 2025 recovered 27 nontrivial dependencies
  188. Sat Aug 30 00:20:31 2025 BLanczosTime: 16842
  189. Sat Aug 30 00:20:31 2025
  190. Sat Aug 30 00:20:31 2025 commencing square root phase
  191. Sat Aug 30 00:20:31 2025 handling dependencies 1 to 64
  192. Sat Aug 30 00:20:31 2025 reading relations for dependency 1
  193. Sat Aug 30 00:20:31 2025 read 4095302 cycles
  194. Sat Aug 30 00:20:38 2025 cycles contain 15752868 unique relations
  195. Sat Aug 30 00:24:38 2025 read 15752868 relations
  196. Sat Aug 30 00:26:11 2025 multiplying 15752868 relations
  197. Sat Aug 30 00:28:07 2025 multiply complete, coefficients have about 822.09 million bits
  198. Sat Aug 30 00:28:09 2025 initial square root is modulo 23735177
  199. Sat Aug 30 00:35:39 2025 GCD is 1, no factor found
  200. Sat Aug 30 00:35:39 2025 reading relations for dependency 2
  201. Sat Aug 30 00:35:41 2025 read 4097584 cycles
  202. Sat Aug 30 00:35:54 2025 cycles contain 15755178 unique relations
  203. Sat Aug 30 00:40:37 2025 read 15755178 relations
  204. Sat Aug 30 00:41:37 2025 multiplying 15755178 relations
  205. Sat Aug 30 00:43:30 2025 multiply complete, coefficients have about 822.20 million bits
  206. Sat Aug 30 00:43:33 2025 initial square root is modulo 23789219
  207. Sat Aug 30 00:49:33 2025 sqrtTime: 1742
  208. Sat Aug 30 00:49:33 2025 p78 factor: 239069232804787424353988194999787426656346582228559476659133434911778316993389
  209. Sat Aug 30 00:49:33 2025 p87 factor: 505185755880568509035299957165077573048577974987436147018211140194471323258020607486101
  210. Sat Aug 30 00:49:33 2025 elapsed time 05:09:45
  211.  
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