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Oct 24th, 2025
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  1. Thu Oct 23 19:33:40 2025
  2. Thu Oct 23 19:33:40 2025
  3. Thu Oct 23 19:33:40 2025 Msieve v. 1.54 (SVN unknown)
  4. Thu Oct 23 19:33:40 2025 random seeds: 2c9def03 83a13e66
  5. Thu Oct 23 19:33:40 2025 MPI process 0 of 1
  6. Thu Oct 23 19:33:40 2025 Using 24 OpenMP threads
  7. Thu Oct 23 19:33:40 2025 factoring 1045445089632552947028249360437112745980248258258106560538380846399106157409807554920851887602991979134814076747807793856591587932872270496865575972988125653301673 (163 digits)
  8. Thu Oct 23 19:33:40 2025 searching for 15-digit factors
  9. Thu Oct 23 19:33:40 2025 commencing number field sieve (163-digit input)
  10. Thu Oct 23 19:33:40 2025 R0: -17945234694021045873348641530561
  11. Thu Oct 23 19:33:40 2025 R1: 17119925899500571408748993
  12. Thu Oct 23 19:33:40 2025 A0: -2418239922470349578878991671679821560
  13. Thu Oct 23 19:33:40 2025 A1: 3009244486655673103193217102536
  14. Thu Oct 23 19:33:40 2025 A2: 5168952218877649273990064
  15. Thu Oct 23 19:33:40 2025 A3: -3888212493280255331
  16. Thu Oct 23 19:33:40 2025 A4: -1109695608744
  17. Thu Oct 23 19:33:40 2025 A5: 89460
  18. Thu Oct 23 19:33:40 2025 skew 1363098.28, size 1.160e-15, alpha -5.251, combined = 1.251e-12 rroots = 5
  19. Thu Oct 23 19:33:40 2025
  20. Thu Oct 23 19:33:40 2025 commencing relation filtering
  21. Thu Oct 23 19:33:40 2025 setting target matrix density to 130.0
  22. Thu Oct 23 19:33:40 2025 estimated available RAM is 64017.3 MB
  23. Thu Oct 23 19:33:40 2025 commencing duplicate removal, pass 1
  24. Thu Oct 23 19:33:46 2025 error -1 reading relation 10218903
  25. Thu Oct 23 19:34:01 2025 error -1 reading relation 38014760
  26. Thu Oct 23 19:34:05 2025 error -1 reading relation 47368684
  27. Thu Oct 23 19:35:06 2025 error -1 reading relation 163179339
  28. Thu Oct 23 19:35:15 2025 error -1 reading relation 181102345
  29. Thu Oct 23 19:35:16 2025 error -1 reading relation 183013707
  30. Thu Oct 23 19:35:19 2025 error -1 reading relation 190670929
  31. Thu Oct 23 19:35:19 2025 error -1 reading relation 190722524
  32. Thu Oct 23 19:35:28 2025 error -1 reading relation 208882528
  33. Thu Oct 23 19:35:29 2025 skipped 26 malformed relations
  34. Thu Oct 23 19:35:29 2025 found 44492339 hash collisions in 210551516 relations
  35. Thu Oct 23 19:35:42 2025 added 121741 free relations
  36. Thu Oct 23 19:35:42 2025 commencing duplicate removal, pass 2
  37. Thu Oct 23 19:36:38 2025 found 47634161 duplicates and 163039096 unique relations
  38. Thu Oct 23 19:36:38 2025 memory use: 1321.5 MB
  39. Thu Oct 23 19:36:38 2025 reading ideals above 720000
  40. Thu Oct 23 19:36:38 2025 commencing singleton removal, initial pass
  41. Thu Oct 23 19:39:47 2025 memory use: 3012.0 MB
  42. Thu Oct 23 19:39:47 2025 reading all ideals from disk
  43. Thu Oct 23 19:39:49 2025 memory use: 7331.5 MB
  44. Thu Oct 23 19:39:56 2025 keeping 156205750 ideals with weight <= 200, target excess is 903523
  45. Thu Oct 23 19:40:04 2025 commencing in-memory singleton removal
  46. Thu Oct 23 19:40:07 2025 begin with 163039096 relations and 156205750 unique ideals
  47. Thu Oct 23 19:40:24 2025 reduce to 89021540 relations and 72742440 ideals in 16 passes
  48. Thu Oct 23 19:40:24 2025 max relations containing the same ideal: 145
  49. Thu Oct 23 19:40:43 2025 removing 10767018 relations and 8767018 ideals in 2000000 cliques
  50. Thu Oct 23 19:40:45 2025 commencing in-memory singleton removal
  51. Thu Oct 23 19:40:46 2025 begin with 78254522 relations and 72742440 unique ideals
  52. Thu Oct 23 19:40:52 2025 reduce to 77275788 relations and 62968921 ideals in 9 passes
  53. Thu Oct 23 19:40:52 2025 max relations containing the same ideal: 126
  54. Thu Oct 23 19:41:07 2025 removing 8229487 relations and 6229487 ideals in 2000000 cliques
  55. Thu Oct 23 19:41:09 2025 commencing in-memory singleton removal
  56. Thu Oct 23 19:41:10 2025 begin with 69046301 relations and 62968921 unique ideals
  57. Thu Oct 23 19:41:16 2025 reduce to 68360783 relations and 56036091 ideals in 9 passes
  58. Thu Oct 23 19:41:16 2025 max relations containing the same ideal: 119
  59. Thu Oct 23 19:41:29 2025 removing 7505429 relations and 5505429 ideals in 2000000 cliques
  60. Thu Oct 23 19:41:31 2025 commencing in-memory singleton removal
  61. Thu Oct 23 19:41:32 2025 begin with 60855354 relations and 56036091 unique ideals
  62. Thu Oct 23 19:41:36 2025 reduce to 60216789 relations and 49874536 ideals in 8 passes
  63. Thu Oct 23 19:41:36 2025 max relations containing the same ideal: 107
  64. Thu Oct 23 19:41:48 2025 removing 7161524 relations and 5161524 ideals in 2000000 cliques
  65. Thu Oct 23 19:41:50 2025 commencing in-memory singleton removal
  66. Thu Oct 23 19:41:50 2025 begin with 53055265 relations and 49874536 unique ideals
  67. Thu Oct 23 19:41:54 2025 reduce to 52407051 relations and 44045413 ideals in 9 passes
  68. Thu Oct 23 19:41:54 2025 max relations containing the same ideal: 97
  69. Thu Oct 23 19:42:05 2025 removing 6981446 relations and 4981446 ideals in 2000000 cliques
  70. Thu Oct 23 19:42:07 2025 commencing in-memory singleton removal
  71. Thu Oct 23 19:42:07 2025 begin with 45425605 relations and 44045413 unique ideals
  72. Thu Oct 23 19:42:10 2025 reduce to 44727335 relations and 38342058 ideals in 8 passes
  73. Thu Oct 23 19:42:10 2025 max relations containing the same ideal: 87
  74. Thu Oct 23 19:42:19 2025 removing 6898465 relations and 4898465 ideals in 2000000 cliques
  75. Thu Oct 23 19:42:21 2025 commencing in-memory singleton removal
  76. Thu Oct 23 19:42:21 2025 begin with 37828870 relations and 38342058 unique ideals
  77. Thu Oct 23 19:42:23 2025 reduce to 37026019 relations and 32609034 ideals in 8 passes
  78. Thu Oct 23 19:42:23 2025 max relations containing the same ideal: 78
  79. Thu Oct 23 19:42:31 2025 removing 6900549 relations and 4900549 ideals in 2000000 cliques
  80. Thu Oct 23 19:42:32 2025 commencing in-memory singleton removal
  81. Thu Oct 23 19:42:33 2025 begin with 30125470 relations and 32609034 unique ideals
  82. Thu Oct 23 19:42:35 2025 reduce to 29139370 relations and 26675419 ideals in 11 passes
  83. Thu Oct 23 19:42:35 2025 max relations containing the same ideal: 69
  84. Thu Oct 23 19:42:42 2025 removing 5344626 relations and 3928762 ideals in 1415864 cliques
  85. Thu Oct 23 19:42:43 2025 commencing in-memory singleton removal
  86. Thu Oct 23 19:42:43 2025 begin with 23794744 relations and 26675419 unique ideals
  87. Thu Oct 23 19:42:44 2025 reduce to 23020559 relations and 21938442 ideals in 9 passes
  88. Thu Oct 23 19:42:44 2025 max relations containing the same ideal: 57
  89. Thu Oct 23 19:42:49 2025 removing 273801 relations and 239771 ideals in 34030 cliques
  90. Thu Oct 23 19:42:50 2025 commencing in-memory singleton removal
  91. Thu Oct 23 19:42:50 2025 begin with 22746758 relations and 21938442 unique ideals
  92. Thu Oct 23 19:42:51 2025 reduce to 22744717 relations and 21696627 ideals in 6 passes
  93. Thu Oct 23 19:42:51 2025 max relations containing the same ideal: 56
  94. Thu Oct 23 19:42:53 2025 relations with 0 large ideals: 4343
  95. Thu Oct 23 19:42:53 2025 relations with 1 large ideals: 50309
  96. Thu Oct 23 19:42:53 2025 relations with 2 large ideals: 464834
  97. Thu Oct 23 19:42:53 2025 relations with 3 large ideals: 2017161
  98. Thu Oct 23 19:42:53 2025 relations with 4 large ideals: 4751671
  99. Thu Oct 23 19:42:53 2025 relations with 5 large ideals: 6521533
  100. Thu Oct 23 19:42:53 2025 relations with 6 large ideals: 5388620
  101. Thu Oct 23 19:42:53 2025 relations with 7+ large ideals: 3546246
  102. Thu Oct 23 19:42:53 2025 commencing 2-way merge
  103. Thu Oct 23 19:42:59 2025 reduce to 13629785 relation sets and 12581695 unique ideals
  104. Thu Oct 23 19:42:59 2025 commencing full merge
  105. Thu Oct 23 19:45:23 2025 memory use: 1479.8 MB
  106. Thu Oct 23 19:45:23 2025 found 5778519 cycles, need 5743895
  107. Thu Oct 23 19:45:25 2025 weight of 5743895 cycles is about 746993678 (130.05/cycle)
  108. Thu Oct 23 19:45:25 2025 distribution of cycle lengths:
  109. Thu Oct 23 19:45:25 2025 1 relations: 306165
  110. Thu Oct 23 19:45:25 2025 2 relations: 336860
  111. Thu Oct 23 19:45:25 2025 3 relations: 361361
  112. Thu Oct 23 19:45:25 2025 4 relations: 364529
  113. Thu Oct 23 19:45:25 2025 5 relations: 374110
  114. Thu Oct 23 19:45:25 2025 6 relations: 373067
  115. Thu Oct 23 19:45:25 2025 7 relations: 366023
  116. Thu Oct 23 19:45:25 2025 8 relations: 359238
  117. Thu Oct 23 19:45:25 2025 9 relations: 341954
  118. Thu Oct 23 19:45:25 2025 10+ relations: 2560588
  119. Thu Oct 23 19:45:25 2025 heaviest cycle: 28 relations
  120. Thu Oct 23 19:45:26 2025 commencing cycle optimization
  121. Thu Oct 23 19:45:32 2025 start with 54851781 relations
  122. Thu Oct 23 19:46:40 2025 pruned 2431983 relations
  123. Thu Oct 23 19:46:40 2025 memory use: 1476.3 MB
  124. Thu Oct 23 19:46:40 2025 distribution of cycle lengths:
  125. Thu Oct 23 19:46:40 2025 1 relations: 306165
  126. Thu Oct 23 19:46:40 2025 2 relations: 345635
  127. Thu Oct 23 19:46:40 2025 3 relations: 376035
  128. Thu Oct 23 19:46:40 2025 4 relations: 379152
  129. Thu Oct 23 19:46:40 2025 5 relations: 392073
  130. Thu Oct 23 19:46:40 2025 6 relations: 390286
  131. Thu Oct 23 19:46:40 2025 7 relations: 385613
  132. Thu Oct 23 19:46:40 2025 8 relations: 376147
  133. Thu Oct 23 19:46:40 2025 9 relations: 358487
  134. Thu Oct 23 19:46:40 2025 10+ relations: 2434302
  135. Thu Oct 23 19:46:40 2025 heaviest cycle: 28 relations
  136. Thu Oct 23 19:46:45 2025 RelProcTime: 785
  137. Thu Oct 23 19:46:45 2025
  138. Thu Oct 23 19:46:45 2025 commencing linear algebra
  139. Thu Oct 23 19:46:45 2025 using VBITS=256
  140. Thu Oct 23 19:46:45 2025 initialized process (0,0) of 1 x 1 grid
  141. Thu Oct 23 19:46:45 2025 read 5743895 cycles
  142. Thu Oct 23 19:46:51 2025 cycles contain 22036579 unique relations
  143. Thu Oct 23 19:47:09 2025 read 22036579 relations
  144. Thu Oct 23 19:47:12 2025 using 20 quadratic characters above 4294917295
  145. Thu Oct 23 19:47:16 2025 building initial matrix
  146. Thu Oct 23 19:49:38 2025 memory use: 2939.1 MB
  147. Thu Oct 23 19:49:40 2025 read 5743895 cycles
  148. Thu Oct 23 19:49:41 2025 matrix is 5743718 x 5743895 (2879.0 MB) with weight 867418549 (151.02/col)
  149. Thu Oct 23 19:49:41 2025 sparse part has weight 691531307 (120.39/col)
  150. Thu Oct 23 19:50:13 2025 filtering completed in 2 passes
  151. Thu Oct 23 19:50:14 2025 matrix is 5743383 x 5743560 (2879.0 MB) with weight 867399844 (151.02/col)
  152. Thu Oct 23 19:50:14 2025 sparse part has weight 691523665 (120.40/col)
  153. Thu Oct 23 19:50:23 2025 matrix starts at (0, 0)
  154. Thu Oct 23 19:50:23 2025 matrix is 5743383 x 5743560 (2879.0 MB) with weight 867399844 (151.02/col)
  155. Thu Oct 23 19:50:23 2025 sparse part has weight 691523665 (120.40/col)
  156. Thu Oct 23 19:50:23 2025 saving the first 240 matrix rows for later
  157. Thu Oct 23 19:50:24 2025 matrix includes 256 packed rows
  158. Thu Oct 23 19:50:25 2025 matrix is 5743143 x 5743560 (2594.4 MB) with weight 628414904 (109.41/col)
  159. Thu Oct 23 19:50:25 2025 sparse part has weight 588207383 (102.41/col)
  160. Thu Oct 23 19:50:25 2025 using block size 8192 and superblock size 884736 for processor cache size 36864 kB
  161. Thu Oct 23 19:50:33 2025 commencing Lanczos iteration (24 threads)
  162. Thu Oct 23 19:50:33 2025 memory use: 3658.7 MB
  163. Thu Oct 23 19:52:11 2025 linear algebra at 0.5%, ETA 5h 1m
  164. Thu Oct 23 19:54:37 2025 checking every 10000 dimensions, checkpointing every 1140000 dimensions
  165. Fri Oct 24 00:49:07 2025 lanczos halted after 22505 iterations (dim = 5743136)
  166. Fri Oct 24 00:49:30 2025 recovered 25 nontrivial dependencies
  167. Fri Oct 24 00:49:30 2025 BLanczosTime: 18165
  168. Fri Oct 24 00:49:30 2025
  169. Fri Oct 24 00:49:30 2025 commencing square root phase
  170. Fri Oct 24 00:49:30 2025 handling dependencies 1 to 64
  171. Fri Oct 24 00:49:30 2025 reading relations for dependency 1
  172. Fri Oct 24 00:49:30 2025 read 2870932 cycles
  173. Fri Oct 24 00:49:33 2025 cycles contain 11019162 unique relations
  174. Fri Oct 24 00:49:48 2025 read 11019162 relations
  175. Fri Oct 24 00:50:09 2025 multiplying 11019162 relations
  176. Fri Oct 24 00:50:55 2025 multiply complete, coefficients have about 588.30 million bits
  177. Fri Oct 24 00:50:56 2025 initial square root is modulo 189691
  178. Fri Oct 24 00:52:41 2025 GCD is 1, no factor found
  179. Fri Oct 24 00:52:41 2025 reading relations for dependency 2
  180. Fri Oct 24 00:52:42 2025 read 2872449 cycles
  181. Fri Oct 24 00:52:44 2025 cycles contain 11022894 unique relations
  182. Fri Oct 24 00:52:58 2025 read 11022894 relations
  183. Fri Oct 24 00:53:19 2025 multiplying 11022894 relations
  184. Fri Oct 24 00:54:05 2025 multiply complete, coefficients have about 588.48 million bits
  185. Fri Oct 24 00:54:06 2025 initial square root is modulo 190507
  186. Fri Oct 24 00:55:51 2025 GCD is N, no factor found
  187. Fri Oct 24 00:55:51 2025 reading relations for dependency 3
  188. Fri Oct 24 00:55:51 2025 read 2869598 cycles
  189. Fri Oct 24 00:55:54 2025 cycles contain 11010362 unique relations
  190. Fri Oct 24 00:56:09 2025 read 11010362 relations
  191. Fri Oct 24 00:56:30 2025 multiplying 11010362 relations
  192. Fri Oct 24 00:57:16 2025 multiply complete, coefficients have about 587.83 million bits
  193. Fri Oct 24 00:57:17 2025 initial square root is modulo 187897
  194. Fri Oct 24 00:59:02 2025 GCD is N, no factor found
  195. Fri Oct 24 00:59:02 2025 reading relations for dependency 4
  196. Fri Oct 24 00:59:03 2025 read 2870767 cycles
  197. Fri Oct 24 00:59:05 2025 cycles contain 11016460 unique relations
  198. Fri Oct 24 00:59:16 2025 read 11016460 relations
  199. Fri Oct 24 00:59:37 2025 multiplying 11016460 relations
  200. Fri Oct 24 01:00:23 2025 multiply complete, coefficients have about 588.15 million bits
  201. Fri Oct 24 01:00:24 2025 initial square root is modulo 189307
  202. Fri Oct 24 01:02:09 2025 sqrtTime: 759
  203. Fri Oct 24 01:02:09 2025 p74 factor: 16467799058024529472003516294708043832157613186990321393287341435579298021
  204. Fri Oct 24 01:02:09 2025 p89 factor: 63484202469857202520469292343893708384508263683311538120523040535922946093648484932439413
  205. Fri Oct 24 01:02:09 2025 elapsed time 05:28:29
  206.  
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