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Oct 28th, 2025
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  1. Tue Oct 28 18:00:23 2025
  2. Tue Oct 28 18:00:23 2025
  3. Tue Oct 28 18:00:23 2025 Msieve v. 1.54 (SVN unknown)
  4. Tue Oct 28 18:00:23 2025 random seeds: e7402ca6 297ee118
  5. Tue Oct 28 18:00:23 2025 factoring 5941967780992967981661616694385675602146787048899904029414154662841452966632889760676093774956313183894807784665924357156668873156482040821657039729911548916806339039526609900445485131641916407 (193 digits)
  6. Tue Oct 28 18:00:24 2025 no P-1/P+1/ECM available, skipping
  7. Tue Oct 28 18:00:24 2025 commencing number field sieve (193-digit input)
  8. Tue Oct 28 18:00:24 2025 R0: 176997380258568646754066293161633680762
  9. Tue Oct 28 18:00:24 2025 R1: -13304036239373697931
  10. Tue Oct 28 18:00:24 2025 A0: -1
  11. Tue Oct 28 18:00:24 2025 A1: 3
  12. Tue Oct 28 18:00:24 2025 A2: 6
  13. Tue Oct 28 18:00:24 2025 A3: -4
  14. Tue Oct 28 18:00:24 2025 A4: -5
  15. Tue Oct 28 18:00:24 2025 A5: 1
  16. Tue Oct 28 18:00:24 2025 A6: 1
  17. Tue Oct 28 18:00:24 2025 skew 1.37, size 2.659e-11, alpha 3.126, combined = 1.280e-12 rroots = 6
  18. Tue Oct 28 18:00:24 2025
  19. Tue Oct 28 18:00:24 2025 commencing relation filtering
  20. Tue Oct 28 18:00:24 2025 setting target matrix density to 104.0
  21. Tue Oct 28 18:00:24 2025 estimated available RAM is 7902.4 MB
  22. Tue Oct 28 18:00:24 2025 commencing duplicate removal, pass 1
  23. Tue Oct 28 18:04:42 2025 error -15 reading relation 45766665
  24. Tue Oct 28 18:04:43 2025 error -15 reading relation 45910537
  25. Tue Oct 28 18:04:45 2025 error -1 reading relation 46324491
  26. Tue Oct 28 18:10:19 2025 skipped 4 relations with b > 2^32
  27. Tue Oct 28 18:10:19 2025 skipped 7 relations with composite factors
  28. Tue Oct 28 18:10:19 2025 found 4693819 hash collisions in 103663903 relations
  29. Tue Oct 28 18:10:19 2025 commencing duplicate removal, pass 2
  30. Tue Oct 28 18:10:48 2025 found 0 duplicates and 103663903 unique relations
  31. Tue Oct 28 18:10:48 2025 memory use: 261.2 MB
  32. Tue Oct 28 18:10:48 2025 reading ideals above 71892992
  33. Tue Oct 28 18:10:48 2025 commencing singleton removal, initial pass
  34. Tue Oct 28 18:17:59 2025 memory use: 2756.0 MB
  35. Tue Oct 28 18:17:59 2025 reading all ideals from disk
  36. Tue Oct 28 18:18:03 2025 memory use: 1854.0 MB
  37. Tue Oct 28 18:18:07 2025 commencing in-memory singleton removal
  38. Tue Oct 28 18:18:10 2025 begin with 103663903 relations and 84457494 unique ideals
  39. Tue Oct 28 18:18:47 2025 reduce to 71187568 relations and 48913565 ideals in 13 passes
  40. Tue Oct 28 18:18:47 2025 max relations containing the same ideal: 57
  41. Tue Oct 28 18:18:50 2025 reading ideals above 720000
  42. Tue Oct 28 18:18:50 2025 commencing singleton removal, initial pass
  43. Tue Oct 28 18:25:04 2025 memory use: 1506.0 MB
  44. Tue Oct 28 18:25:04 2025 reading all ideals from disk
  45. Tue Oct 28 18:25:10 2025 memory use: 2679.3 MB
  46. Tue Oct 28 18:25:16 2025 keeping 57004272 ideals with weight <= 200, target excess is 354692
  47. Tue Oct 28 18:25:23 2025 commencing in-memory singleton removal
  48. Tue Oct 28 18:25:28 2025 begin with 71187568 relations and 57004272 unique ideals
  49. Tue Oct 28 18:25:43 2025 reduce to 71187482 relations and 57004186 ideals in 3 passes
  50. Tue Oct 28 18:25:43 2025 max relations containing the same ideal: 200
  51. Tue Oct 28 18:26:07 2025 removing 8531856 relations and 6531856 ideals in 2000000 cliques
  52. Tue Oct 28 18:26:09 2025 commencing in-memory singleton removal
  53. Tue Oct 28 18:26:13 2025 begin with 62655626 relations and 57004186 unique ideals
  54. Tue Oct 28 18:26:41 2025 reduce to 61730142 relations and 49513927 ideals in 8 passes
  55. Tue Oct 28 18:26:41 2025 max relations containing the same ideal: 191
  56. Tue Oct 28 18:27:00 2025 removing 6933913 relations and 4933913 ideals in 2000000 cliques
  57. Tue Oct 28 18:27:02 2025 commencing in-memory singleton removal
  58. Tue Oct 28 18:27:06 2025 begin with 54796229 relations and 49513927 unique ideals
  59. Tue Oct 28 18:27:29 2025 reduce to 54136709 relations and 43898555 ideals in 8 passes
  60. Tue Oct 28 18:27:29 2025 max relations containing the same ideal: 184
  61. Tue Oct 28 18:27:46 2025 removing 6475880 relations and 4475880 ideals in 2000000 cliques
  62. Tue Oct 28 18:27:48 2025 commencing in-memory singleton removal
  63. Tue Oct 28 18:27:51 2025 begin with 47660829 relations and 43898555 unique ideals
  64. Tue Oct 28 18:28:12 2025 reduce to 47036331 relations and 38776161 ideals in 8 passes
  65. Tue Oct 28 18:28:12 2025 max relations containing the same ideal: 164
  66. Tue Oct 28 18:28:27 2025 removing 6270875 relations and 4270875 ideals in 2000000 cliques
  67. Tue Oct 28 18:28:29 2025 commencing in-memory singleton removal
  68. Tue Oct 28 18:28:31 2025 begin with 40765456 relations and 38776161 unique ideals
  69. Tue Oct 28 18:28:48 2025 reduce to 40118896 relations and 33833392 ideals in 8 passes
  70. Tue Oct 28 18:28:48 2025 max relations containing the same ideal: 150
  71. Tue Oct 28 18:29:01 2025 removing 6170240 relations and 4170240 ideals in 2000000 cliques
  72. Tue Oct 28 18:29:03 2025 commencing in-memory singleton removal
  73. Tue Oct 28 18:29:05 2025 begin with 33948656 relations and 33833392 unique ideals
  74. Tue Oct 28 18:29:17 2025 reduce to 33240506 relations and 28922912 ideals in 7 passes
  75. Tue Oct 28 18:29:17 2025 max relations containing the same ideal: 131
  76. Tue Oct 28 18:29:28 2025 removing 6126846 relations and 4126846 ideals in 2000000 cliques
  77. Tue Oct 28 18:29:30 2025 commencing in-memory singleton removal
  78. Tue Oct 28 18:29:31 2025 begin with 27113660 relations and 28922912 unique ideals
  79. Tue Oct 28 18:29:44 2025 reduce to 26296297 relations and 23933750 ideals in 9 passes
  80. Tue Oct 28 18:29:44 2025 max relations containing the same ideal: 112
  81. Tue Oct 28 18:29:53 2025 removing 5982420 relations and 4031316 ideals in 1951104 cliques
  82. Tue Oct 28 18:29:54 2025 commencing in-memory singleton removal
  83. Tue Oct 28 18:29:55 2025 begin with 20313877 relations and 23933750 unique ideals
  84. Tue Oct 28 18:30:04 2025 reduce to 19353048 relations and 18876127 ideals in 9 passes
  85. Tue Oct 28 18:30:04 2025 max relations containing the same ideal: 88
  86. Tue Oct 28 18:30:11 2025 removing 403021 relations and 337543 ideals in 65478 cliques
  87. Tue Oct 28 18:30:12 2025 commencing in-memory singleton removal
  88. Tue Oct 28 18:30:13 2025 begin with 18950027 relations and 18876127 unique ideals
  89. Tue Oct 28 18:30:18 2025 reduce to 18943301 relations and 18531833 ideals in 5 passes
  90. Tue Oct 28 18:30:18 2025 max relations containing the same ideal: 88
  91. Tue Oct 28 18:30:21 2025 relations with 0 large ideals: 26067
  92. Tue Oct 28 18:30:21 2025 relations with 1 large ideals: 6644
  93. Tue Oct 28 18:30:21 2025 relations with 2 large ideals: 47721
  94. Tue Oct 28 18:30:21 2025 relations with 3 large ideals: 347442
  95. Tue Oct 28 18:30:21 2025 relations with 4 large ideals: 1383519
  96. Tue Oct 28 18:30:21 2025 relations with 5 large ideals: 3291605
  97. Tue Oct 28 18:30:21 2025 relations with 6 large ideals: 4865708
  98. Tue Oct 28 18:30:21 2025 relations with 7+ large ideals: 8974595
  99. Tue Oct 28 18:30:21 2025 commencing 2-way merge
  100. Tue Oct 28 18:30:29 2025 reduce to 12496466 relation sets and 12084998 unique ideals
  101. Tue Oct 28 18:30:29 2025 commencing full merge
  102. Tue Oct 28 18:34:26 2025 memory use: 1708.0 MB
  103. Tue Oct 28 18:34:27 2025 found 5887457 cycles, need 5869198
  104. Tue Oct 28 18:34:29 2025 weight of 5869198 cycles is about 610472998 (104.01/cycle)
  105. Tue Oct 28 18:34:29 2025 distribution of cycle lengths:
  106. Tue Oct 28 18:34:29 2025 1 relations: 331525
  107. Tue Oct 28 18:34:29 2025 2 relations: 425537
  108. Tue Oct 28 18:34:29 2025 3 relations: 474595
  109. Tue Oct 28 18:34:29 2025 4 relations: 477464
  110. Tue Oct 28 18:34:29 2025 5 relations: 474883
  111. Tue Oct 28 18:34:29 2025 6 relations: 460673
  112. Tue Oct 28 18:34:29 2025 7 relations: 436881
  113. Tue Oct 28 18:34:29 2025 8 relations: 404651
  114. Tue Oct 28 18:34:29 2025 9 relations: 366930
  115. Tue Oct 28 18:34:29 2025 10+ relations: 2016059
  116. Tue Oct 28 18:34:29 2025 heaviest cycle: 28 relations
  117. Tue Oct 28 18:34:30 2025 commencing cycle optimization
  118. Tue Oct 28 18:34:39 2025 start with 47957820 relations
  119. Tue Oct 28 18:36:00 2025 pruned 2073275 relations
  120. Tue Oct 28 18:36:00 2025 memory use: 1282.5 MB
  121. Tue Oct 28 18:36:00 2025 distribution of cycle lengths:
  122. Tue Oct 28 18:36:00 2025 1 relations: 331525
  123. Tue Oct 28 18:36:00 2025 2 relations: 434583
  124. Tue Oct 28 18:36:00 2025 3 relations: 492933
  125. Tue Oct 28 18:36:00 2025 4 relations: 495669
  126. Tue Oct 28 18:36:00 2025 5 relations: 497657
  127. Tue Oct 28 18:36:00 2025 6 relations: 480830
  128. Tue Oct 28 18:36:00 2025 7 relations: 457686
  129. Tue Oct 28 18:36:00 2025 8 relations: 420580
  130. Tue Oct 28 18:36:00 2025 9 relations: 380354
  131. Tue Oct 28 18:36:00 2025 10+ relations: 1877381
  132. Tue Oct 28 18:36:00 2025 heaviest cycle: 28 relations
  133. Tue Oct 28 18:36:08 2025 RelProcTime: 2144
  134. Tue Oct 28 18:36:08 2025 elapsed time 00:35:45
  135. Tue Oct 28 18:43:30 2025
  136. Tue Oct 28 18:43:30 2025
  137. Tue Oct 28 18:43:30 2025 Msieve v. 1.54 (SVN unknown)
  138. Tue Oct 28 18:43:30 2025 random seeds: 1ec49a0e bfa73902
  139. Tue Oct 28 18:43:30 2025 factoring 5941967780992967981661616694385675602146787048899904029414154662841452966632889760676093774956313183894807784665924357156668873156482040821657039729911548916806339039526609900445485131641916407 (193 digits)
  140. Tue Oct 28 18:43:31 2025 no P-1/P+1/ECM available, skipping
  141. Tue Oct 28 18:43:31 2025 commencing number field sieve (193-digit input)
  142. Tue Oct 28 18:43:31 2025 R0: 176997380258568646754066293161633680762
  143. Tue Oct 28 18:43:31 2025 R1: -13304036239373697931
  144. Tue Oct 28 18:43:31 2025 A0: -1
  145. Tue Oct 28 18:43:31 2025 A1: 3
  146. Tue Oct 28 18:43:31 2025 A2: 6
  147. Tue Oct 28 18:43:31 2025 A3: -4
  148. Tue Oct 28 18:43:31 2025 A4: -5
  149. Tue Oct 28 18:43:31 2025 A5: 1
  150. Tue Oct 28 18:43:31 2025 A6: 1
  151. Tue Oct 28 18:43:31 2025 skew 1.37, size 2.659e-11, alpha 3.126, combined = 1.280e-12 rroots = 6
  152. Tue Oct 28 18:43:31 2025
  153. Tue Oct 28 18:43:31 2025 commencing linear algebra
  154. Tue Oct 28 18:43:31 2025 using VBITS=512
  155. Tue Oct 28 18:43:32 2025 read 5869198 cycles
  156. Tue Oct 28 18:43:41 2025 cycles contain 18714300 unique relations
  157. Tue Oct 28 18:44:51 2025 read 18714300 relations
  158. Tue Oct 28 18:45:12 2025 using 20 quadratic characters above 4294917295
  159. Tue Oct 28 18:46:23 2025 building initial matrix
  160. Tue Oct 28 18:49:18 2025 memory use: 2301.3 MB
  161. Tue Oct 28 18:49:20 2025 read 5869198 cycles
  162. Tue Oct 28 18:49:20 2025 matrix is 5869021 x 5869198 (2412.9 MB) with weight 684965489 (116.71/col)
  163. Tue Oct 28 18:49:20 2025 sparse part has weight 573826216 (97.77/col)
  164. Tue Oct 28 18:50:15 2025 filtering completed in 2 passes
  165. Tue Oct 28 18:50:16 2025 matrix is 5868833 x 5868974 (2412.8 MB) with weight 684959202 (116.71/col)
  166. Tue Oct 28 18:50:16 2025 sparse part has weight 573823972 (97.77/col)
  167. Tue Oct 28 18:50:30 2025 matrix starts at (0, 0)
  168. Tue Oct 28 18:50:31 2025 matrix is 5868833 x 5868974 (2412.8 MB) with weight 684959202 (116.71/col)
  169. Tue Oct 28 18:50:31 2025 sparse part has weight 573823972 (97.77/col)
  170. Tue Oct 28 18:50:31 2025 saving the first 496 matrix rows for later
  171. Tue Oct 28 18:50:32 2025 matrix includes 512 packed rows
  172. Tue Oct 28 18:50:36 2025 matrix is 5868337 x 5868974 (2311.9 MB) with weight 492188273 (83.86/col)
  173. Tue Oct 28 18:50:36 2025 sparse part has weight 465207605 (79.27/col)
  174. Tue Oct 28 18:50:36 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  175. Tue Oct 28 18:50:36 2025 selected card has CUDA arch 8.6
  176. Tue Oct 28 18:51:23 2025 commencing Lanczos iteration
  177. Tue Oct 28 18:51:24 2025 memory use: 6549.3 MB
  178. Tue Oct 28 18:51:44 2025 linear algebra at 0.3%, ETA 2h 7m
  179. Tue Oct 28 18:51:45 2025 checkpointing every 2720000 dimensions
  180. Tue Oct 28 21:11:18 2025 lanczos halted after 11480 iterations (dim = 5868333)
  181. Tue Oct 28 21:12:13 2025 recovered 34 nontrivial dependencies
  182. Tue Oct 28 21:12:13 2025 BLanczosTime: 8922
  183. Tue Oct 28 21:12:13 2025 elapsed time 02:28:43
  184. Tue Oct 28 21:21:00 2025
  185. Tue Oct 28 21:21:00 2025
  186. Tue Oct 28 21:21:00 2025 Msieve v. 1.54 (SVN unknown)
  187. Tue Oct 28 21:21:00 2025 random seeds: 2e085829 0d5d17b9
  188. Tue Oct 28 21:21:00 2025 factoring 5941967780992967981661616694385675602146787048899904029414154662841452966632889760676093774956313183894807784665924357156668873156482040821657039729911548916806339039526609900445485131641916407 (193 digits)
  189. Tue Oct 28 21:21:01 2025 no P-1/P+1/ECM available, skipping
  190. Tue Oct 28 21:21:01 2025 commencing number field sieve (193-digit input)
  191. Tue Oct 28 21:21:01 2025 R0: 176997380258568646754066293161633680762
  192. Tue Oct 28 21:21:01 2025 R1: -13304036239373697931
  193. Tue Oct 28 21:21:01 2025 A0: -1
  194. Tue Oct 28 21:21:01 2025 A1: 3
  195. Tue Oct 28 21:21:01 2025 A2: 6
  196. Tue Oct 28 21:21:01 2025 A3: -4
  197. Tue Oct 28 21:21:01 2025 A4: -5
  198. Tue Oct 28 21:21:01 2025 A5: 1
  199. Tue Oct 28 21:21:01 2025 A6: 1
  200. Tue Oct 28 21:21:01 2025 skew 1.37, size 2.659e-11, alpha 3.126, combined = 1.280e-12 rroots = 6
  201. Tue Oct 28 21:21:01 2025
  202. Tue Oct 28 21:21:01 2025 commencing square root phase
  203. Tue Oct 28 21:21:01 2025 reading relations for dependency 1
  204. Tue Oct 28 21:21:01 2025 read 2935584 cycles
  205. Tue Oct 28 21:21:06 2025 cycles contain 9359378 unique relations
  206. Tue Oct 28 21:21:46 2025 read 9359378 relations
  207. Tue Oct 28 21:22:15 2025 multiplying 9359378 relations
  208. Tue Oct 28 21:26:37 2025 multiply complete, coefficients have about 227.46 million bits
  209. Tue Oct 28 21:26:38 2025 initial square root is modulo 145452521
  210. Tue Oct 28 21:31:36 2025 found factor: 210838352246777833240429454963369836901512420467924343849199
  211. Tue Oct 28 21:31:36 2025 reading relations for dependency 2
  212. Tue Oct 28 21:31:36 2025 read 2933113 cycles
  213. Tue Oct 28 21:31:40 2025 cycles contain 9354282 unique relations
  214. Tue Oct 28 21:32:19 2025 read 9354282 relations
  215. Tue Oct 28 21:32:47 2025 multiplying 9354282 relations
  216. Tue Oct 28 21:37:02 2025 multiply complete, coefficients have about 227.33 million bits
  217. Tue Oct 28 21:37:03 2025 initial square root is modulo 143981923
  218. Tue Oct 28 21:42:00 2025 GCD is N, no factor found
  219. Tue Oct 28 21:42:00 2025 reading relations for dependency 3
  220. Tue Oct 28 21:42:01 2025 read 2933971 cycles
  221. Tue Oct 28 21:42:05 2025 cycles contain 9356000 unique relations
  222. Tue Oct 28 21:42:44 2025 read 9356000 relations
  223. Tue Oct 28 21:43:13 2025 multiplying 9356000 relations
  224. Tue Oct 28 21:47:27 2025 multiply complete, coefficients have about 227.37 million bits
  225. Tue Oct 28 21:47:28 2025 initial square root is modulo 144414601
  226. Tue Oct 28 21:52:25 2025 GCD is 1, no factor found
  227. Tue Oct 28 21:52:25 2025 reading relations for dependency 4
  228. Tue Oct 28 21:52:25 2025 read 2934514 cycles
  229. Tue Oct 28 21:52:29 2025 cycles contain 9356446 unique relations
  230. Tue Oct 28 21:53:08 2025 read 9356446 relations
  231. Tue Oct 28 21:53:37 2025 multiplying 9356446 relations
  232. Tue Oct 28 21:57:51 2025 multiply complete, coefficients have about 227.39 million bits
  233. Tue Oct 28 21:57:52 2025 initial square root is modulo 144635159
  234. Tue Oct 28 22:02:49 2025 sqrtTime: 2508
  235. Tue Oct 28 22:02:49 2025 p59 factor: 57952344765247406836242815627639620674328554250382678293273
  236. Tue Oct 28 22:02:49 2025 p60 factor: 210838352246777833240429454963369836901512420467924343849199
  237. Tue Oct 28 22:02:49 2025 p75 factor: 486306043638876355133251913521924398298495640384170065681100734514968435041
  238. Tue Oct 28 22:02:49 2025 elapsed time 00:41:49
  239.  
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