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Jan 26th, 2026
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  1. Mon Jan 26 10:40:41 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Mon Jan 26 10:40:41 2026 random seeds: ca1c5570 6410cf11
  3. Mon Jan 26 10:40:41 2026 Using 32 OpenMP threads
  4. Mon Jan 26 10:40:41 2026 factoring 536172030680092185078585801437997216960664106715824106162988832790464971460707543692158473760067101149275182286256659482699716839671777294935068423178535220105633562963069657039688454225780978299881383447205937403121573583384407452763730694372036863472001 (255 digits)
  5. Mon Jan 26 10:40:41 2026 no P-1/P+1/ECM available, skipping
  6. Mon Jan 26 10:40:41 2026 commencing number field sieve (255-digit input)
  7. Mon Jan 26 10:40:41 2026 R0: 1
  8. Mon Jan 26 10:40:41 2026 R1: -2850230039257520183104902996362376819024001
  9. Mon Jan 26 10:40:41 2026 A0: -17599
  10. Mon Jan 26 10:40:41 2026 A1: 0
  11. Mon Jan 26 10:40:41 2026 A2: 0
  12. Mon Jan 26 10:40:41 2026 A3: 0
  13. Mon Jan 26 10:40:41 2026 A4: 0
  14. Mon Jan 26 10:40:41 2026 A5: 0
  15. Mon Jan 26 10:40:41 2026 A6: 1
  16. Mon Jan 26 10:40:41 2026 skew 3.95, size 8.049e-13, alpha -0.809, combined = 9.997e-14 rroots = 2
  17. Mon Jan 26 10:40:41 2026
  18. Mon Jan 26 10:40:41 2026 commencing relation filtering
  19. Mon Jan 26 10:40:41 2026 setting target matrix density to 120.0
  20. Mon Jan 26 10:40:41 2026 estimated available RAM is 128740.1 MB
  21. Mon Jan 26 10:40:41 2026 commencing duplicate removal, pass 1
  22. Mon Jan 26 10:45:19 2026 error -15 reading relation 125577935
  23. Mon Jan 26 10:46:16 2026 error -11 reading relation 156423193
  24. Mon Jan 26 10:46:20 2026 skipped 57 relations with b > 2^32
  25. Mon Jan 26 10:46:20 2026 found 5597831 hash collisions in 158951574 relations
  26. Mon Jan 26 10:46:29 2026 added 1219068 free relations
  27. Mon Jan 26 10:46:29 2026 commencing duplicate removal, pass 2
  28. Mon Jan 26 10:47:15 2026 found 0 duplicates and 160170642 unique relations
  29. Mon Jan 26 10:47:15 2026 memory use: 522.4 MB
  30. Mon Jan 26 10:47:15 2026 reading ideals above 720000
  31. Mon Jan 26 10:47:15 2026 commencing singleton removal, initial pass
  32. Mon Jan 26 10:53:29 2026 memory use: 3012.0 MB
  33. Mon Jan 26 10:53:29 2026 reading all ideals from disk
  34. Mon Jan 26 10:53:30 2026 memory use: 7818.3 MB
  35. Mon Jan 26 10:53:37 2026 keeping 144639418 ideals with weight <= 200, target excess is 844158
  36. Mon Jan 26 10:53:45 2026 commencing in-memory singleton removal
  37. Mon Jan 26 10:53:47 2026 begin with 160170642 relations and 144639418 unique ideals
  38. Mon Jan 26 10:54:03 2026 reduce to 122155506 relations and 104727319 ideals in 14 passes
  39. Mon Jan 26 10:54:03 2026 max relations containing the same ideal: 175
  40. Mon Jan 26 10:54:25 2026 removing 11610041 relations and 9610041 ideals in 2000000 cliques
  41. Mon Jan 26 10:54:28 2026 commencing in-memory singleton removal
  42. Mon Jan 26 10:54:29 2026 begin with 110545465 relations and 104727319 unique ideals
  43. Mon Jan 26 10:54:37 2026 reduce to 109634289 relations and 94186847 ideals in 9 passes
  44. Mon Jan 26 10:54:37 2026 max relations containing the same ideal: 163
  45. Mon Jan 26 10:54:56 2026 removing 8937675 relations and 6937675 ideals in 2000000 cliques
  46. Mon Jan 26 10:54:59 2026 commencing in-memory singleton removal
  47. Mon Jan 26 10:55:00 2026 begin with 100696614 relations and 94186847 unique ideals
  48. Mon Jan 26 10:55:06 2026 reduce to 100078997 relations and 86619964 ideals in 8 passes
  49. Mon Jan 26 10:55:06 2026 max relations containing the same ideal: 155
  50. Mon Jan 26 10:55:24 2026 removing 8154187 relations and 6154187 ideals in 2000000 cliques
  51. Mon Jan 26 10:55:26 2026 commencing in-memory singleton removal
  52. Mon Jan 26 10:55:28 2026 begin with 91924810 relations and 86619964 unique ideals
  53. Mon Jan 26 10:55:33 2026 reduce to 91361656 relations and 79891742 ideals in 8 passes
  54. Mon Jan 26 10:55:33 2026 max relations containing the same ideal: 145
  55. Mon Jan 26 10:55:50 2026 removing 7776560 relations and 5776560 ideals in 2000000 cliques
  56. Mon Jan 26 10:55:52 2026 commencing in-memory singleton removal
  57. Mon Jan 26 10:55:53 2026 begin with 83585096 relations and 79891742 unique ideals
  58. Mon Jan 26 10:55:58 2026 reduce to 83031714 relations and 73550703 ideals in 8 passes
  59. Mon Jan 26 10:55:58 2026 max relations containing the same ideal: 137
  60. Mon Jan 26 10:56:14 2026 removing 7574965 relations and 5574965 ideals in 2000000 cliques
  61. Mon Jan 26 10:56:16 2026 commencing in-memory singleton removal
  62. Mon Jan 26 10:56:17 2026 begin with 75456749 relations and 73550703 unique ideals
  63. Mon Jan 26 10:56:22 2026 reduce to 74891121 relations and 67397765 ideals in 8 passes
  64. Mon Jan 26 10:56:22 2026 max relations containing the same ideal: 127
  65. Mon Jan 26 10:56:36 2026 removing 7460837 relations and 5460837 ideals in 2000000 cliques
  66. Mon Jan 26 10:56:38 2026 commencing in-memory singleton removal
  67. Mon Jan 26 10:56:39 2026 begin with 67430284 relations and 67397765 unique ideals
  68. Mon Jan 26 10:56:43 2026 reduce to 66828677 relations and 61321267 ideals in 8 passes
  69. Mon Jan 26 10:56:43 2026 max relations containing the same ideal: 118
  70. Mon Jan 26 10:56:56 2026 removing 7422495 relations and 5422495 ideals in 2000000 cliques
  71. Mon Jan 26 10:56:57 2026 commencing in-memory singleton removal
  72. Mon Jan 26 10:56:58 2026 begin with 59406182 relations and 61321267 unique ideals
  73. Mon Jan 26 10:57:02 2026 reduce to 58746020 relations and 55221431 ideals in 10 passes
  74. Mon Jan 26 10:57:02 2026 max relations containing the same ideal: 107
  75. Mon Jan 26 10:57:14 2026 removing 7428686 relations and 5428686 ideals in 2000000 cliques
  76. Mon Jan 26 10:57:15 2026 commencing in-memory singleton removal
  77. Mon Jan 26 10:57:16 2026 begin with 51317334 relations and 55221431 unique ideals
  78. Mon Jan 26 10:57:19 2026 reduce to 50572304 relations and 49025550 ideals in 8 passes
  79. Mon Jan 26 10:57:19 2026 max relations containing the same ideal: 95
  80. Mon Jan 26 10:57:29 2026 removing 2757971 relations and 2190441 ideals in 567530 cliques
  81. Mon Jan 26 10:57:30 2026 commencing in-memory singleton removal
  82. Mon Jan 26 10:57:31 2026 begin with 47814333 relations and 49025550 unique ideals
  83. Mon Jan 26 10:57:33 2026 reduce to 47706175 relations and 46725859 ideals in 7 passes
  84. Mon Jan 26 10:57:33 2026 max relations containing the same ideal: 92
  85. Mon Jan 26 10:57:47 2026 relations with 0 large ideals: 31932
  86. Mon Jan 26 10:57:47 2026 relations with 1 large ideals: 9775
  87. Mon Jan 26 10:57:47 2026 relations with 2 large ideals: 117614
  88. Mon Jan 26 10:57:47 2026 relations with 3 large ideals: 846042
  89. Mon Jan 26 10:57:47 2026 relations with 4 large ideals: 3339161
  90. Mon Jan 26 10:57:47 2026 relations with 5 large ideals: 7998485
  91. Mon Jan 26 10:57:47 2026 relations with 6 large ideals: 12100244
  92. Mon Jan 26 10:57:47 2026 relations with 7+ large ideals: 23262922
  93. Mon Jan 26 10:57:47 2026 commencing 2-way merge
  94. Mon Jan 26 10:58:01 2026 reduce to 30986168 relation sets and 30005852 unique ideals
  95. Mon Jan 26 10:58:01 2026 commencing full merge
  96. Mon Jan 26 11:05:25 2026 memory use: 4093.9 MB
  97. Mon Jan 26 11:05:28 2026 found 14074920 cycles, need 14032052
  98. Mon Jan 26 11:05:31 2026 weight of 14032052 cycles is about 1684027713 (120.01/cycle)
  99. Mon Jan 26 11:05:31 2026 distribution of cycle lengths:
  100. Mon Jan 26 11:05:31 2026 1 relations: 807408
  101. Mon Jan 26 11:05:31 2026 2 relations: 982433
  102. Mon Jan 26 11:05:31 2026 3 relations: 1067328
  103. Mon Jan 26 11:05:31 2026 4 relations: 1057114
  104. Mon Jan 26 11:05:31 2026 5 relations: 1047537
  105. Mon Jan 26 11:05:31 2026 6 relations: 1002083
  106. Mon Jan 26 11:05:31 2026 7 relations: 965582
  107. Mon Jan 26 11:05:31 2026 8 relations: 909795
  108. Mon Jan 26 11:05:31 2026 9 relations: 852369
  109. Mon Jan 26 11:05:31 2026 10+ relations: 5340403
  110. Mon Jan 26 11:05:31 2026 heaviest cycle: 28 relations
  111. Mon Jan 26 11:05:33 2026 commencing cycle optimization
  112. Mon Jan 26 11:05:53 2026 start with 120358634 relations
  113. Mon Jan 26 11:08:37 2026 pruned 5338444 relations
  114. Mon Jan 26 11:08:37 2026 memory use: 3211.1 MB
  115. Mon Jan 26 11:08:37 2026 distribution of cycle lengths:
  116. Mon Jan 26 11:08:37 2026 1 relations: 807408
  117. Mon Jan 26 11:08:37 2026 2 relations: 1006371
  118. Mon Jan 26 11:08:37 2026 3 relations: 1112461
  119. Mon Jan 26 11:08:37 2026 4 relations: 1098655
  120. Mon Jan 26 11:08:37 2026 5 relations: 1096598
  121. Mon Jan 26 11:08:37 2026 6 relations: 1047207
  122. Mon Jan 26 11:08:37 2026 7 relations: 1010430
  123. Mon Jan 26 11:08:37 2026 8 relations: 948863
  124. Mon Jan 26 11:08:37 2026 9 relations: 886087
  125. Mon Jan 26 11:08:37 2026 10+ relations: 5017972
  126. Mon Jan 26 11:08:37 2026 heaviest cycle: 28 relations
  127. Mon Jan 26 11:08:50 2026 RelProcTime: 1689
  128. Mon Jan 26 11:08:50 2026 elapsed time 00:28:09
  129. Mon Jan 26 11:08:56 2026
  130. Mon Jan 26 11:08:56 2026
  131. Mon Jan 26 11:08:56 2026 Msieve v. 1.54 (SVN 573b9ef)
  132. Mon Jan 26 11:08:56 2026 random seeds: 88e90d4c 55fda66e
  133. Mon Jan 26 11:08:56 2026 MPI process 0 of 2
  134. Mon Jan 26 11:08:56 2026 Using 8 OpenMP threads
  135. Mon Jan 26 11:08:56 2026 factoring 536172030680092185078585801437997216960664106715824106162988832790464971460707543692158473760067101149275182286256659482699716839671777294935068423178535220105633562963069657039688454225780978299881383447205937403121573583384407452763730694372036863472001 (255 digits)
  136. Mon Jan 26 11:08:56 2026 no P-1/P+1/ECM available, skipping
  137. Mon Jan 26 11:08:56 2026 commencing number field sieve (255-digit input)
  138. Mon Jan 26 11:08:56 2026 R0: 1
  139. Mon Jan 26 11:08:56 2026 R1: -2850230039257520183104902996362376819024001
  140. Mon Jan 26 11:08:56 2026 A0: -17599
  141. Mon Jan 26 11:08:56 2026 A1: 0
  142. Mon Jan 26 11:08:56 2026 A2: 0
  143. Mon Jan 26 11:08:56 2026 A3: 0
  144. Mon Jan 26 11:08:56 2026 A4: 0
  145. Mon Jan 26 11:08:56 2026 A5: 0
  146. Mon Jan 26 11:08:56 2026 A6: 1
  147. Mon Jan 26 11:08:56 2026 skew 3.95, size 8.049e-13, alpha -0.809, combined = 9.997e-14 rroots = 2
  148. Mon Jan 26 11:08:56 2026
  149. Mon Jan 26 11:08:56 2026 commencing linear algebra
  150. Mon Jan 26 11:08:56 2026 using VBITS=256
  151. Mon Jan 26 11:08:56 2026 initialized process (0,0) of 1 x 2 grid
  152. Mon Jan 26 11:08:57 2026 read 14032052 cycles
  153. Mon Jan 26 11:09:15 2026 cycles contain 47145627 unique relations
  154. Mon Jan 26 11:09:40 2026 read 47145627 relations
  155. Mon Jan 26 11:09:49 2026 using 20 quadratic characters above 4294917295
  156. Mon Jan 26 11:10:02 2026 building initial matrix
  157. Mon Jan 26 11:15:29 2026 memory use: 6378.3 MB
  158. Mon Jan 26 11:15:35 2026 read 14032052 cycles
  159. Mon Jan 26 11:15:36 2026 matrix is 14031875 x 14032052 (6585.9 MB) with weight 1924521462 (137.15/col)
  160. Mon Jan 26 11:15:36 2026 sparse part has weight 1572105107 (112.04/col)
  161. Mon Jan 26 11:16:54 2026 filtering completed in 2 passes
  162. Mon Jan 26 11:16:56 2026 matrix is 14031565 x 14031734 (6585.9 MB) with weight 1924509586 (137.15/col)
  163. Mon Jan 26 11:16:56 2026 sparse part has weight 1572101409 (112.04/col)
  164. Mon Jan 26 11:17:16 2026 matrix starts at (0, 0)
  165. Mon Jan 26 11:17:17 2026 matrix is 14031565 x 7015900 (3292.9 MB) with weight 962253808 (137.15/col)
  166. Mon Jan 26 11:17:17 2026 sparse part has weight 786050847 (112.04/col)
  167. Mon Jan 26 11:17:17 2026 saving the first 240 matrix rows for later
  168. Mon Jan 26 11:17:17 2026 matrix includes 256 packed rows
  169. Mon Jan 26 11:17:20 2026 matrix is 14031325 x 7015900 (3003.9 MB) with weight 714035777 (101.77/col)
  170. Mon Jan 26 11:17:20 2026 sparse part has weight 675193685 (96.24/col)
  171. Mon Jan 26 11:17:20 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  172. Mon Jan 26 11:17:20 2026 selected card has CUDA arch 8.6
  173. Mon Jan 26 11:17:43 2026 commencing Lanczos iteration
  174. Mon Jan 26 11:17:44 2026 memory use: 7586.8 MB
  175. Mon Jan 26 11:18:14 2026 linear algebra at 0.2%, ETA 3h40m
  176. Mon Jan 26 11:18:58 2026 checking every 60000 dimensions, checkpointing every 3840000 dimensions
  177. Mon Jan 26 15:03:01 2026 lanczos halted after 54975 iterations (dim = 14031322)
  178. Mon Jan 26 15:06:41 2026 recovered 32 nontrivial dependencies
  179. Mon Jan 26 15:06:42 2026 BLanczosTime: 14266
  180. Mon Jan 26 15:06:42 2026 elapsed time 03:57:46
  181. Mon Jan 26 15:07:00 2026
  182. Mon Jan 26 15:07:00 2026
  183. Mon Jan 26 15:07:00 2026 Msieve v. 1.54 (SVN 573b9ef)
  184. Mon Jan 26 15:07:00 2026 random seeds: 619a8a87 898b013f
  185. Mon Jan 26 15:07:00 2026 Using 32 OpenMP threads
  186. Mon Jan 26 15:07:00 2026 factoring 536172030680092185078585801437997216960664106715824106162988832790464971460707543692158473760067101149275182286256659482699716839671777294935068423178535220105633562963069657039688454225780978299881383447205937403121573583384407452763730694372036863472001 (255 digits)
  187. Mon Jan 26 15:07:00 2026 no P-1/P+1/ECM available, skipping
  188. Mon Jan 26 15:07:00 2026 commencing number field sieve (255-digit input)
  189. Mon Jan 26 15:07:00 2026 R0: 1
  190. Mon Jan 26 15:07:00 2026 R1: -2850230039257520183104902996362376819024001
  191. Mon Jan 26 15:07:00 2026 A0: -17599
  192. Mon Jan 26 15:07:00 2026 A1: 0
  193. Mon Jan 26 15:07:00 2026 A2: 0
  194. Mon Jan 26 15:07:00 2026 A3: 0
  195. Mon Jan 26 15:07:00 2026 A4: 0
  196. Mon Jan 26 15:07:00 2026 A5: 0
  197. Mon Jan 26 15:07:00 2026 A6: 1
  198. Mon Jan 26 15:07:00 2026 skew 3.95, size 8.049e-13, alpha -0.809, combined = 9.997e-14 rroots = 2
  199. Mon Jan 26 15:07:00 2026
  200. Mon Jan 26 15:07:00 2026 commencing square root phase
  201. Mon Jan 26 15:07:00 2026 reading relations for dependency 1
  202. Mon Jan 26 15:07:01 2026 read 7019738 cycles
  203. Mon Jan 26 15:07:09 2026 cycles contain 23571616 unique relations
  204. Mon Jan 26 15:07:27 2026 read 23571616 relations
  205. Mon Jan 26 15:08:17 2026 multiplying 23571616 relations
  206. Mon Jan 26 15:09:18 2026 multiply complete, coefficients have about 639.35 million bits
  207. Mon Jan 26 15:09:19 2026 initial square root is modulo 544477
  208. Mon Jan 26 15:11:42 2026 sqrtTime: 282
  209. Mon Jan 26 15:11:42 2026 p60 factor: 125291023499743087454987351909337041803436789335531824566503
  210. Mon Jan 26 15:11:42 2026 p196 factor: 4279412967531481774153073649297897031658412491185730445978289522979623020019298350927324968804759251099520138251536336065548452599994162707400541334913807907716904710391437115712075987287932622167
  211. Mon Jan 26 15:11:42 2026 elapsed time 00:04:42
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