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Dec 1st, 2025
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  1. Mon Dec 1 10:55:20 2025
  2. Mon Dec 1 10:55:20 2025
  3. Mon Dec 1 10:55:20 2025 Msieve v. 1.54 (SVN unknown)
  4. Mon Dec 1 10:55:20 2025 random seeds: 57498481 911fc536
  5. Mon Dec 1 10:55:20 2025 factoring 201842839914257100735021894405041971358490293662341574032245996523571160704852922653670680244121376353001532261562090620150000563563910046265657290522813113078391 (162 digits)
  6. Mon Dec 1 10:55:20 2025 no P-1/P+1/ECM available, skipping
  7. Mon Dec 1 10:55:20 2025 commencing number field sieve (162-digit input)
  8. Mon Dec 1 10:55:20 2025 R0: -25566817154799558968956810328309
  9. Mon Dec 1 10:55:20 2025 R1: 288457605237745150261
  10. Mon Dec 1 10:55:20 2025 A0: 31880813045745257557020712135658617560
  11. Mon Dec 1 10:55:20 2025 A1: 70145816380770853867275905185110
  12. Mon Dec 1 10:55:20 2025 A2: 18835648010183718527394601
  13. Mon Dec 1 10:55:20 2025 A3: -11221398310714303805
  14. Mon Dec 1 10:55:20 2025 A4: -542518419044
  15. Mon Dec 1 10:55:20 2025 A5: 36960
  16. Mon Dec 1 10:55:20 2025 skew 1.00, size 1.562e-15, alpha -6.861, combined = 1.052e-14 rroots = 5
  17. Mon Dec 1 10:55:20 2025
  18. Mon Dec 1 10:55:20 2025 commencing relation filtering
  19. Mon Dec 1 10:55:20 2025 setting target matrix density to 100.0
  20. Mon Dec 1 10:55:20 2025 estimated available RAM is 7902.4 MB
  21. Mon Dec 1 10:55:20 2025 commencing duplicate removal, pass 1
  22. Mon Dec 1 11:03:18 2025 skipped 1 relations with composite factors
  23. Mon Dec 1 11:03:18 2025 found 2876579 hash collisions in 80577371 relations
  24. Mon Dec 1 11:03:44 2025 added 122559 free relations
  25. Mon Dec 1 11:03:44 2025 commencing duplicate removal, pass 2
  26. Mon Dec 1 11:04:09 2025 found 0 duplicates and 80699930 unique relations
  27. Mon Dec 1 11:04:09 2025 memory use: 253.2 MB
  28. Mon Dec 1 11:04:09 2025 reading ideals above 61931520
  29. Mon Dec 1 11:04:09 2025 commencing singleton removal, initial pass
  30. Mon Dec 1 11:09:45 2025 memory use: 1506.0 MB
  31. Mon Dec 1 11:09:45 2025 reading all ideals from disk
  32. Mon Dec 1 11:09:47 2025 memory use: 1369.0 MB
  33. Mon Dec 1 11:09:49 2025 commencing in-memory singleton removal
  34. Mon Dec 1 11:09:51 2025 begin with 80699930 relations and 75720018 unique ideals
  35. Mon Dec 1 11:10:14 2025 reduce to 39255033 relations and 28354438 ideals in 17 passes
  36. Mon Dec 1 11:10:14 2025 max relations containing the same ideal: 36
  37. Mon Dec 1 11:10:15 2025 reading ideals above 720000
  38. Mon Dec 1 11:10:16 2025 commencing singleton removal, initial pass
  39. Mon Dec 1 11:13:40 2025 memory use: 753.0 MB
  40. Mon Dec 1 11:13:40 2025 reading all ideals from disk
  41. Mon Dec 1 11:13:43 2025 memory use: 1437.6 MB
  42. Mon Dec 1 11:13:45 2025 keeping 35480879 ideals with weight <= 200, target excess is 209394
  43. Mon Dec 1 11:13:48 2025 commencing in-memory singleton removal
  44. Mon Dec 1 11:13:51 2025 begin with 39255035 relations and 35480879 unique ideals
  45. Mon Dec 1 11:14:18 2025 reduce to 39188285 relations and 35414111 ideals in 13 passes
  46. Mon Dec 1 11:14:18 2025 max relations containing the same ideal: 200
  47. Mon Dec 1 11:14:31 2025 removing 3422874 relations and 3022874 ideals in 400000 cliques
  48. Mon Dec 1 11:14:33 2025 commencing in-memory singleton removal
  49. Mon Dec 1 11:14:35 2025 begin with 35765411 relations and 35414111 unique ideals
  50. Mon Dec 1 11:14:52 2025 reduce to 35543693 relations and 32166500 ideals in 9 passes
  51. Mon Dec 1 11:14:52 2025 max relations containing the same ideal: 196
  52. Mon Dec 1 11:15:03 2025 removing 2530451 relations and 2130451 ideals in 400000 cliques
  53. Mon Dec 1 11:15:04 2025 commencing in-memory singleton removal
  54. Mon Dec 1 11:15:06 2025 begin with 33013242 relations and 32166500 unique ideals
  55. Mon Dec 1 11:15:20 2025 reduce to 32874892 relations and 29896174 ideals in 8 passes
  56. Mon Dec 1 11:15:20 2025 max relations containing the same ideal: 188
  57. Mon Dec 1 11:15:31 2025 removing 2248118 relations and 1848118 ideals in 400000 cliques
  58. Mon Dec 1 11:15:32 2025 commencing in-memory singleton removal
  59. Mon Dec 1 11:15:33 2025 begin with 30626774 relations and 29896174 unique ideals
  60. Mon Dec 1 11:15:46 2025 reduce to 30508581 relations and 27928518 ideals in 8 passes
  61. Mon Dec 1 11:15:46 2025 max relations containing the same ideal: 181
  62. Mon Dec 1 11:15:56 2025 removing 2099422 relations and 1699422 ideals in 400000 cliques
  63. Mon Dec 1 11:15:57 2025 commencing in-memory singleton removal
  64. Mon Dec 1 11:15:58 2025 begin with 28409159 relations and 27928518 unique ideals
  65. Mon Dec 1 11:16:09 2025 reduce to 28298354 relations and 26117001 ideals in 7 passes
  66. Mon Dec 1 11:16:09 2025 max relations containing the same ideal: 172
  67. Mon Dec 1 11:16:18 2025 removing 2002447 relations and 1602447 ideals in 400000 cliques
  68. Mon Dec 1 11:16:19 2025 commencing in-memory singleton removal
  69. Mon Dec 1 11:16:20 2025 begin with 26295907 relations and 26117001 unique ideals
  70. Mon Dec 1 11:16:30 2025 reduce to 26188680 relations and 24406019 ideals in 7 passes
  71. Mon Dec 1 11:16:30 2025 max relations containing the same ideal: 166
  72. Mon Dec 1 11:16:38 2025 removing 1936685 relations and 1536685 ideals in 400000 cliques
  73. Mon Dec 1 11:16:39 2025 commencing in-memory singleton removal
  74. Mon Dec 1 11:16:40 2025 begin with 24251995 relations and 24406019 unique ideals
  75. Mon Dec 1 11:16:51 2025 reduce to 24143966 relations and 22759953 ideals in 8 passes
  76. Mon Dec 1 11:16:51 2025 max relations containing the same ideal: 161
  77. Mon Dec 1 11:16:58 2025 removing 1889161 relations and 1489161 ideals in 400000 cliques
  78. Mon Dec 1 11:16:59 2025 commencing in-memory singleton removal
  79. Mon Dec 1 11:17:00 2025 begin with 22254805 relations and 22759953 unique ideals
  80. Mon Dec 1 11:17:09 2025 reduce to 22144824 relations and 21159298 ideals in 8 passes
  81. Mon Dec 1 11:17:09 2025 max relations containing the same ideal: 150
  82. Mon Dec 1 11:17:17 2025 removing 1852845 relations and 1452845 ideals in 400000 cliques
  83. Mon Dec 1 11:17:17 2025 commencing in-memory singleton removal
  84. Mon Dec 1 11:17:18 2025 begin with 20291979 relations and 21159298 unique ideals
  85. Mon Dec 1 11:17:27 2025 reduce to 20177362 relations and 19590099 ideals in 8 passes
  86. Mon Dec 1 11:17:27 2025 max relations containing the same ideal: 137
  87. Mon Dec 1 11:17:33 2025 removing 1618324 relations and 1273959 ideals in 344365 cliques
  88. Mon Dec 1 11:17:34 2025 commencing in-memory singleton removal
  89. Mon Dec 1 11:17:35 2025 begin with 18559038 relations and 19590099 unique ideals
  90. Mon Dec 1 11:17:42 2025 reduce to 18465706 relations and 18221488 ideals in 8 passes
  91. Mon Dec 1 11:17:42 2025 max relations containing the same ideal: 128
  92. Mon Dec 1 11:17:51 2025 relations with 0 large ideals: 680
  93. Mon Dec 1 11:17:51 2025 relations with 1 large ideals: 920
  94. Mon Dec 1 11:17:51 2025 relations with 2 large ideals: 16935
  95. Mon Dec 1 11:17:51 2025 relations with 3 large ideals: 155840
  96. Mon Dec 1 11:17:51 2025 relations with 4 large ideals: 791569
  97. Mon Dec 1 11:17:51 2025 relations with 5 large ideals: 2372720
  98. Mon Dec 1 11:17:51 2025 relations with 6 large ideals: 4414825
  99. Mon Dec 1 11:17:51 2025 relations with 7+ large ideals: 10712217
  100. Mon Dec 1 11:17:51 2025 commencing 2-way merge
  101. Mon Dec 1 11:18:00 2025 reduce to 11323914 relation sets and 11079695 unique ideals
  102. Mon Dec 1 11:18:00 2025 commencing full merge
  103. Mon Dec 1 11:20:50 2025 memory use: 1419.0 MB
  104. Mon Dec 1 11:20:51 2025 found 5413471 cycles, need 5389895
  105. Mon Dec 1 11:20:52 2025 weight of 5389895 cycles is about 539525490 (100.10/cycle)
  106. Mon Dec 1 11:20:52 2025 distribution of cycle lengths:
  107. Mon Dec 1 11:20:52 2025 1 relations: 411410
  108. Mon Dec 1 11:20:52 2025 2 relations: 471149
  109. Mon Dec 1 11:20:52 2025 3 relations: 489726
  110. Mon Dec 1 11:20:52 2025 4 relations: 473499
  111. Mon Dec 1 11:20:52 2025 5 relations: 455204
  112. Mon Dec 1 11:20:52 2025 6 relations: 421923
  113. Mon Dec 1 11:20:52 2025 7 relations: 396186
  114. Mon Dec 1 11:20:52 2025 8 relations: 361384
  115. Mon Dec 1 11:20:52 2025 9 relations: 326252
  116. Mon Dec 1 11:20:52 2025 10+ relations: 1583162
  117. Mon Dec 1 11:20:52 2025 heaviest cycle: 28 relations
  118. Mon Dec 1 11:20:53 2025 commencing cycle optimization
  119. Mon Dec 1 11:21:01 2025 start with 39598779 relations
  120. Mon Dec 1 11:21:54 2025 pruned 1338644 relations
  121. Mon Dec 1 11:21:54 2025 memory use: 1169.5 MB
  122. Mon Dec 1 11:21:54 2025 distribution of cycle lengths:
  123. Mon Dec 1 11:21:54 2025 1 relations: 411410
  124. Mon Dec 1 11:21:54 2025 2 relations: 482636
  125. Mon Dec 1 11:21:54 2025 3 relations: 509163
  126. Mon Dec 1 11:21:54 2025 4 relations: 489016
  127. Mon Dec 1 11:21:54 2025 5 relations: 471031
  128. Mon Dec 1 11:21:54 2025 6 relations: 435283
  129. Mon Dec 1 11:21:54 2025 7 relations: 408607
  130. Mon Dec 1 11:21:54 2025 8 relations: 369239
  131. Mon Dec 1 11:21:54 2025 9 relations: 331926
  132. Mon Dec 1 11:21:54 2025 10+ relations: 1481584
  133. Mon Dec 1 11:21:54 2025 heaviest cycle: 27 relations
  134. Mon Dec 1 11:22:02 2025 RelProcTime: 1602
  135. Mon Dec 1 11:22:02 2025 elapsed time 00:26:42
  136. Mon Dec 1 11:30:53 2025
  137. Mon Dec 1 11:30:53 2025
  138. Mon Dec 1 11:30:53 2025 Msieve v. 1.54 (SVN unknown)
  139. Mon Dec 1 11:30:53 2025 random seeds: 51b88979 8626e14a
  140. Mon Dec 1 11:30:53 2025 factoring 201842839914257100735021894405041971358490293662341574032245996523571160704852922653670680244121376353001532261562090620150000563563910046265657290522813113078391 (162 digits)
  141. Mon Dec 1 11:30:53 2025 no P-1/P+1/ECM available, skipping
  142. Mon Dec 1 11:30:53 2025 commencing number field sieve (162-digit input)
  143. Mon Dec 1 11:30:53 2025 R0: -25566817154799558968956810328309
  144. Mon Dec 1 11:30:53 2025 R1: 288457605237745150261
  145. Mon Dec 1 11:30:53 2025 A0: 31880813045745257557020712135658617560
  146. Mon Dec 1 11:30:53 2025 A1: 70145816380770853867275905185110
  147. Mon Dec 1 11:30:53 2025 A2: 18835648010183718527394601
  148. Mon Dec 1 11:30:53 2025 A3: -11221398310714303805
  149. Mon Dec 1 11:30:53 2025 A4: -542518419044
  150. Mon Dec 1 11:30:53 2025 A5: 36960
  151. Mon Dec 1 11:30:53 2025 skew 1.00, size 1.562e-15, alpha -6.861, combined = 1.052e-14 rroots = 5
  152. Mon Dec 1 11:30:53 2025
  153. Mon Dec 1 11:30:53 2025 commencing linear algebra
  154. Mon Dec 1 11:30:53 2025 using VBITS=512
  155. Mon Dec 1 11:30:53 2025 read 5389895 cycles
  156. Mon Dec 1 11:31:01 2025 cycles contain 18282122 unique relations
  157. Mon Dec 1 11:32:10 2025 read 18282122 relations
  158. Mon Dec 1 11:32:28 2025 using 20 quadratic characters above 4294917295
  159. Mon Dec 1 11:33:39 2025 building initial matrix
  160. Mon Dec 1 11:36:28 2025 memory use: 2505.6 MB
  161. Mon Dec 1 11:36:30 2025 read 5389895 cycles
  162. Mon Dec 1 11:36:31 2025 matrix is 5389715 x 5389895 (2169.6 MB) with weight 666593651 (123.67/col)
  163. Mon Dec 1 11:36:31 2025 sparse part has weight 509457524 (94.52/col)
  164. Mon Dec 1 11:37:12 2025 filtering completed in 2 passes
  165. Mon Dec 1 11:37:13 2025 matrix is 5389325 x 5389503 (2169.6 MB) with weight 666577424 (123.68/col)
  166. Mon Dec 1 11:37:13 2025 sparse part has weight 509453318 (94.53/col)
  167. Mon Dec 1 11:37:24 2025 matrix starts at (0, 0)
  168. Mon Dec 1 11:37:25 2025 matrix is 5389325 x 5389503 (2169.6 MB) with weight 666577424 (123.68/col)
  169. Mon Dec 1 11:37:25 2025 sparse part has weight 509453318 (94.53/col)
  170. Mon Dec 1 11:37:25 2025 saving the first 496 matrix rows for later
  171. Mon Dec 1 11:37:26 2025 matrix includes 512 packed rows
  172. Mon Dec 1 11:37:30 2025 matrix is 5388829 x 5389503 (2033.2 MB) with weight 430336767 (79.85/col)
  173. Mon Dec 1 11:37:30 2025 sparse part has weight 403634818 (74.89/col)
  174. Mon Dec 1 11:37:30 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  175. Mon Dec 1 11:37:30 2025 selected card has CUDA arch 8.6
  176. Mon Dec 1 11:38:09 2025 commencing Lanczos iteration
  177. Mon Dec 1 11:38:10 2025 memory use: 5793.3 MB
  178. Mon Dec 1 11:38:49 2025 linear algebra at 0.3%, ETA 3h47m
  179. Mon Dec 1 11:38:51 2025 checkpointing every 1400000 dimensions
  180. Mon Dec 1 13:26:58 2025 lanczos halted after 10542 iterations (dim = 5388827)
  181. Mon Dec 1 13:28:19 2025 recovered 26 nontrivial dependencies
  182. Mon Dec 1 13:28:19 2025 BLanczosTime: 7046
  183. Mon Dec 1 13:28:19 2025
  184. Mon Dec 1 13:28:19 2025 commencing square root phase
  185. Mon Dec 1 13:28:19 2025 handling dependencies 1 to 64
  186. Mon Dec 1 13:28:19 2025 reading relations for dependency 1
  187. Mon Dec 1 13:28:20 2025 read 2696379 cycles
  188. Mon Dec 1 13:28:24 2025 cycles contain 9144762 unique relations
  189. Mon Dec 1 13:29:02 2025 read 9144762 relations
  190. Mon Dec 1 13:29:35 2025 multiplying 9144762 relations
  191. Mon Dec 1 13:36:45 2025 multiply complete, coefficients have about 474.54 million bits
  192. Mon Dec 1 13:36:47 2025 initial square root is modulo 327164003
  193. Mon Dec 1 13:45:20 2025 sqrtTime: 1021
  194. Mon Dec 1 13:45:20 2025 p57 factor: 119265575582314381389068581255149114804283591285354296511
  195. Mon Dec 1 13:45:20 2025 p106 factor: 1692381384391590631317186959911220859315703264056187967142284954076224122649862681758189821509709163051081
  196. Mon Dec 1 13:45:20 2025 elapsed time 02:14:27
  197.  
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