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  1. Mon Jul 7 10:52:57 2025
  2. Mon Jul 7 10:52:57 2025
  3. Mon Jul 7 10:52:57 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Jul 7 10:52:57 2025 random seeds: b19a8e38 9845ab8c
  5. Mon Jul 7 10:52:57 2025 factoring 16242163066973938348314522365853592064543373203583163058649649983431663994491611850229203279536760970963304963844775863833788473397635738644785028342185396810893 (161 digits)
  6. Mon Jul 7 10:52:59 2025 searching for 15-digit factors
  7. Mon Jul 7 10:53:00 2025 commencing number field sieve (161-digit input)
  8. Mon Jul 7 10:53:00 2025 R0: -8101033169269640588295185652779
  9. Mon Jul 7 10:53:00 2025 R1: 1204660310744095185268567
  10. Mon Jul 7 10:53:00 2025 A0: 22727711735683518184020291001846626072
  11. Mon Jul 7 10:53:00 2025 A1: 40012020299862979957252989161802
  12. Mon Jul 7 10:53:00 2025 A2: -75044943556033761754354453
  13. Mon Jul 7 10:53:00 2025 A3: -9490407990424563313
  14. Mon Jul 7 10:53:00 2025 A4: 16976294855390
  15. Mon Jul 7 10:53:00 2025 A5: 2566200
  16. Mon Jul 7 10:53:00 2025 skew 1973950.63, size 1.442e-15, alpha -7.249, combined = 1.439e-12 rroots = 5
  17. Mon Jul 7 10:53:00 2025
  18. Mon Jul 7 10:53:00 2025 commencing relation filtering
  19. Mon Jul 7 10:53:00 2025 setting target matrix density to 120.0
  20. Mon Jul 7 10:53:00 2025 estimated available RAM is 15938.6 MB
  21. Mon Jul 7 10:53:00 2025 commencing duplicate removal, pass 1
  22. Mon Jul 7 11:19:48 2025 skipped 1 relations with composite factors
  23. Mon Jul 7 11:19:48 2025 found 5364920 hash collisions in 155494843 relations
  24. Mon Jul 7 11:20:39 2025 added 122039 free relations
  25. Mon Jul 7 11:20:39 2025 commencing duplicate removal, pass 2
  26. Mon Jul 7 11:22:07 2025 found 1 duplicates and 155616881 unique relations
  27. Mon Jul 7 11:22:07 2025 memory use: 506.4 MB
  28. Mon Jul 7 11:22:07 2025 reading ideals above 67960832
  29. Mon Jul 7 11:22:07 2025 commencing singleton removal, initial pass
  30. Mon Jul 7 11:44:37 2025 memory use: 3012.0 MB
  31. Mon Jul 7 11:44:38 2025 reading all ideals from disk
  32. Mon Jul 7 11:44:45 2025 memory use: 2935.6 MB
  33. Mon Jul 7 11:45:00 2025 commencing in-memory singleton removal
  34. Mon Jul 7 11:45:14 2025 begin with 155616881 relations and 127403813 unique ideals
  35. Mon Jul 7 11:47:54 2025 reduce to 108407136 relations and 76042825 ideals in 14 passes
  36. Mon Jul 7 11:47:54 2025 max relations containing the same ideal: 72
  37. Mon Jul 7 11:48:10 2025 reading ideals above 720000
  38. Mon Jul 7 11:48:10 2025 commencing singleton removal, initial pass
  39. Mon Jul 7 12:08:38 2025 memory use: 2756.0 MB
  40. Mon Jul 7 12:08:38 2025 reading all ideals from disk
  41. Mon Jul 7 12:08:46 2025 memory use: 4073.1 MB
  42. Mon Jul 7 12:09:04 2025 keeping 83515653 ideals with weight <= 200, target excess is 535013
  43. Mon Jul 7 12:09:25 2025 commencing in-memory singleton removal
  44. Mon Jul 7 12:09:40 2025 begin with 108407136 relations and 83515653 unique ideals
  45. Mon Jul 7 12:10:51 2025 reduce to 108406981 relations and 83515498 ideals in 4 passes
  46. Mon Jul 7 12:10:51 2025 max relations containing the same ideal: 200
  47. Mon Jul 7 12:12:24 2025 removing 9364666 relations and 7364666 ideals in 2000000 cliques
  48. Mon Jul 7 12:12:30 2025 commencing in-memory singleton removal
  49. Mon Jul 7 12:12:46 2025 begin with 99042315 relations and 83515498 unique ideals
  50. Mon Jul 7 12:14:48 2025 reduce to 98372077 relations and 75464553 ideals in 7 passes
  51. Mon Jul 7 12:14:48 2025 max relations containing the same ideal: 195
  52. Mon Jul 7 12:16:09 2025 removing 7292305 relations and 5292305 ideals in 2000000 cliques
  53. Mon Jul 7 12:16:14 2025 commencing in-memory singleton removal
  54. Mon Jul 7 12:16:28 2025 begin with 91079772 relations and 75464553 unique ideals
  55. Mon Jul 7 12:18:31 2025 reduce to 90620889 relations and 69703684 ideals in 8 passes
  56. Mon Jul 7 12:18:31 2025 max relations containing the same ideal: 188
  57. Mon Jul 7 12:19:46 2025 removing 6715438 relations and 4715438 ideals in 2000000 cliques
  58. Mon Jul 7 12:19:51 2025 commencing in-memory singleton removal
  59. Mon Jul 7 12:20:04 2025 begin with 83905451 relations and 69703684 unique ideals
  60. Mon Jul 7 12:21:43 2025 reduce to 83496259 relations and 64570320 ideals in 7 passes
  61. Mon Jul 7 12:21:43 2025 max relations containing the same ideal: 178
  62. Mon Jul 7 12:22:52 2025 removing 6426000 relations and 4426000 ideals in 2000000 cliques
  63. Mon Jul 7 12:22:57 2025 commencing in-memory singleton removal
  64. Mon Jul 7 12:23:08 2025 begin with 77070259 relations and 64570320 unique ideals
  65. Mon Jul 7 12:24:37 2025 reduce to 76679780 relations and 59745049 ideals in 7 passes
  66. Mon Jul 7 12:24:37 2025 max relations containing the same ideal: 170
  67. Mon Jul 7 12:25:41 2025 removing 6260882 relations and 4260882 ideals in 2000000 cliques
  68. Mon Jul 7 12:25:45 2025 commencing in-memory singleton removal
  69. Mon Jul 7 12:25:55 2025 begin with 70418898 relations and 59745049 unique ideals
  70. Mon Jul 7 12:27:14 2025 reduce to 70027140 relations and 55083134 ideals in 7 passes
  71. Mon Jul 7 12:27:14 2025 max relations containing the same ideal: 162
  72. Mon Jul 7 12:28:12 2025 removing 6155002 relations and 4155002 ideals in 2000000 cliques
  73. Mon Jul 7 12:28:16 2025 commencing in-memory singleton removal
  74. Mon Jul 7 12:28:25 2025 begin with 63872138 relations and 55083134 unique ideals
  75. Mon Jul 7 12:29:36 2025 reduce to 63468006 relations and 50513727 ideals in 7 passes
  76. Mon Jul 7 12:29:36 2025 max relations containing the same ideal: 153
  77. Mon Jul 7 12:30:29 2025 removing 6099192 relations and 4099192 ideals in 2000000 cliques
  78. Mon Jul 7 12:30:32 2025 commencing in-memory singleton removal
  79. Mon Jul 7 12:30:41 2025 begin with 57368814 relations and 50513727 unique ideals
  80. Mon Jul 7 12:31:44 2025 reduce to 56941176 relations and 45974818 ideals in 7 passes
  81. Mon Jul 7 12:31:44 2025 max relations containing the same ideal: 142
  82. Mon Jul 7 12:32:30 2025 removing 6073664 relations and 4073664 ideals in 2000000 cliques
  83. Mon Jul 7 12:32:34 2025 commencing in-memory singleton removal
  84. Mon Jul 7 12:32:42 2025 begin with 50867512 relations and 45974818 unique ideals
  85. Mon Jul 7 12:33:37 2025 reduce to 50399186 relations and 41418480 ideals in 7 passes
  86. Mon Jul 7 12:33:37 2025 max relations containing the same ideal: 131
  87. Mon Jul 7 12:34:20 2025 removing 6081575 relations and 4081575 ideals in 2000000 cliques
  88. Mon Jul 7 12:34:23 2025 commencing in-memory singleton removal
  89. Mon Jul 7 12:34:29 2025 begin with 44317611 relations and 41418480 unique ideals
  90. Mon Jul 7 12:35:16 2025 reduce to 43790370 relations and 36791565 ideals in 7 passes
  91. Mon Jul 7 12:35:16 2025 max relations containing the same ideal: 119
  92. Mon Jul 7 12:35:52 2025 removing 6124035 relations and 4124035 ideals in 2000000 cliques
  93. Mon Jul 7 12:35:55 2025 commencing in-memory singleton removal
  94. Mon Jul 7 12:36:00 2025 begin with 37666335 relations and 36791565 unique ideals
  95. Mon Jul 7 12:36:40 2025 reduce to 37051746 relations and 32028894 ideals in 7 passes
  96. Mon Jul 7 12:36:40 2025 max relations containing the same ideal: 104
  97. Mon Jul 7 12:37:10 2025 removing 6206922 relations and 4206922 ideals in 2000000 cliques
  98. Mon Jul 7 12:37:13 2025 commencing in-memory singleton removal
  99. Mon Jul 7 12:37:17 2025 begin with 30844824 relations and 32028894 unique ideals
  100. Mon Jul 7 12:37:53 2025 reduce to 30089271 relations and 27031327 ideals in 8 passes
  101. Mon Jul 7 12:37:53 2025 max relations containing the same ideal: 89
  102. Mon Jul 7 12:38:18 2025 removing 6335516 relations and 4335517 ideals in 2000000 cliques
  103. Mon Jul 7 12:38:21 2025 commencing in-memory singleton removal
  104. Mon Jul 7 12:38:24 2025 begin with 23753755 relations and 27031327 unique ideals
  105. Mon Jul 7 12:38:57 2025 reduce to 22761754 relations and 21646628 ideals in 10 passes
  106. Mon Jul 7 12:38:57 2025 max relations containing the same ideal: 74
  107. Mon Jul 7 12:39:17 2025 removing 2209439 relations and 1714929 ideals in 494510 cliques
  108. Mon Jul 7 12:39:19 2025 commencing in-memory singleton removal
  109. Mon Jul 7 12:39:21 2025 begin with 20552315 relations and 21646628 unique ideals
  110. Mon Jul 7 12:39:48 2025 reduce to 20387897 relations and 19763967 ideals in 9 passes
  111. Mon Jul 7 12:39:48 2025 max relations containing the same ideal: 69
  112. Mon Jul 7 12:40:11 2025 relations with 0 large ideals: 1928
  113. Mon Jul 7 12:40:11 2025 relations with 1 large ideals: 8781
  114. Mon Jul 7 12:40:11 2025 relations with 2 large ideals: 127950
  115. Mon Jul 7 12:40:11 2025 relations with 3 large ideals: 788709
  116. Mon Jul 7 12:40:11 2025 relations with 4 large ideals: 2577815
  117. Mon Jul 7 12:40:11 2025 relations with 5 large ideals: 4897248
  118. Mon Jul 7 12:40:11 2025 relations with 6 large ideals: 5698506
  119. Mon Jul 7 12:40:11 2025 relations with 7+ large ideals: 6286960
  120. Mon Jul 7 12:40:11 2025 commencing 2-way merge
  121. Mon Jul 7 12:40:33 2025 reduce to 12704394 relation sets and 12080464 unique ideals
  122. Mon Jul 7 12:40:33 2025 commencing full merge
  123. Mon Jul 7 12:48:11 2025 memory use: 1578.3 MB
  124. Mon Jul 7 12:48:13 2025 found 5676783 cycles, need 5640664
  125. Mon Jul 7 12:48:17 2025 weight of 5640664 cycles is about 677425605 (120.10/cycle)
  126. Mon Jul 7 12:48:17 2025 distribution of cycle lengths:
  127. Mon Jul 7 12:48:17 2025 1 relations: 262600
  128. Mon Jul 7 12:48:17 2025 2 relations: 354779
  129. Mon Jul 7 12:48:17 2025 3 relations: 391707
  130. Mon Jul 7 12:48:17 2025 4 relations: 395067
  131. Mon Jul 7 12:48:17 2025 5 relations: 400204
  132. Mon Jul 7 12:48:17 2025 6 relations: 399391
  133. Mon Jul 7 12:48:17 2025 7 relations: 393624
  134. Mon Jul 7 12:48:17 2025 8 relations: 378705
  135. Mon Jul 7 12:48:17 2025 9 relations: 358400
  136. Mon Jul 7 12:48:17 2025 10+ relations: 2306187
  137. Mon Jul 7 12:48:17 2025 heaviest cycle: 28 relations
  138. Mon Jul 7 12:48:20 2025 commencing cycle optimization
  139. Mon Jul 7 12:48:44 2025 start with 50500430 relations
  140. Mon Jul 7 12:52:13 2025 pruned 2298056 relations
  141. Mon Jul 7 12:52:13 2025 memory use: 1354.4 MB
  142. Mon Jul 7 12:52:13 2025 distribution of cycle lengths:
  143. Mon Jul 7 12:52:13 2025 1 relations: 262600
  144. Mon Jul 7 12:52:13 2025 2 relations: 363871
  145. Mon Jul 7 12:52:13 2025 3 relations: 408265
  146. Mon Jul 7 12:52:13 2025 4 relations: 411300
  147. Mon Jul 7 12:52:13 2025 5 relations: 419725
  148. Mon Jul 7 12:52:13 2025 6 relations: 418544
  149. Mon Jul 7 12:52:13 2025 7 relations: 413660
  150. Mon Jul 7 12:52:13 2025 8 relations: 397266
  151. Mon Jul 7 12:52:13 2025 9 relations: 376163
  152. Mon Jul 7 12:52:13 2025 10+ relations: 2169270
  153. Mon Jul 7 12:52:13 2025 heaviest cycle: 28 relations
  154. Mon Jul 7 12:52:33 2025 RelProcTime: 7173
  155. Mon Jul 7 12:52:33 2025
  156. Mon Jul 7 12:52:33 2025 commencing linear algebra
  157. Mon Jul 7 12:52:33 2025 using VBITS=512
  158. Mon Jul 7 12:52:34 2025 read 5640664 cycles
  159. Mon Jul 7 12:52:57 2025 cycles contain 19994044 unique relations
  160. Mon Jul 7 12:55:50 2025 read 19994044 relations
  161. Mon Jul 7 12:56:54 2025 using 20 quadratic characters above 4294917295
  162. Mon Jul 7 12:59:18 2025 building initial matrix
  163. Mon Jul 7 13:08:53 2025 memory use: 2766.6 MB
  164. Mon Jul 7 13:08:57 2025 read 5640664 cycles
  165. Mon Jul 7 13:08:59 2025 matrix is 5640487 x 5640664 (2664.2 MB) with weight 816014476 (144.67/col)
  166. Mon Jul 7 13:08:59 2025 sparse part has weight 630713638 (111.82/col)
  167. Mon Jul 7 13:11:19 2025 filtering completed in 2 passes
  168. Mon Jul 7 13:11:22 2025 matrix is 5640300 x 5640475 (2664.2 MB) with weight 816004061 (144.67/col)
  169. Mon Jul 7 13:11:22 2025 sparse part has weight 630709874 (111.82/col)
  170. Mon Jul 7 13:11:59 2025 matrix starts at (0, 0)
  171. Mon Jul 7 13:12:01 2025 matrix is 5640300 x 5640475 (2664.2 MB) with weight 816004061 (144.67/col)
  172. Mon Jul 7 13:12:01 2025 sparse part has weight 630709874 (111.82/col)
  173. Mon Jul 7 13:12:01 2025 saving the first 496 matrix rows for later
  174. Mon Jul 7 13:12:04 2025 matrix includes 512 packed rows
  175. Mon Jul 7 13:12:13 2025 matrix is 5639804 x 5640475 (2452.4 MB) with weight 540200892 (95.77/col)
  176. Mon Jul 7 13:12:13 2025 sparse part has weight 507511426 (89.98/col)
  177. Mon Jul 7 15:00:52 2025
  178. Mon Jul 7 15:00:52 2025
  179. Mon Jul 7 15:00:52 2025 Msieve v. 1.54 (SVN unknown)
  180. Mon Jul 7 15:00:52 2025 random seeds: 08b887a2 2829ef41
  181. Mon Jul 7 15:00:52 2025 factoring 16242163066973938348314522365853592064543373203583163058649649983431663994491611850229203279536760970963304963844775863833788473397635738644785028342185396810893 (161 digits)
  182. Mon Jul 7 15:00:53 2025 no P-1/P+1/ECM available, skipping
  183. Mon Jul 7 15:00:53 2025 commencing number field sieve (161-digit input)
  184. Mon Jul 7 15:00:53 2025 R0: -8101033169269640588295185652779
  185. Mon Jul 7 15:00:53 2025 R1: 1204660310744095185268567
  186. Mon Jul 7 15:00:53 2025 A0: 22727711735683518184020291001846626072
  187. Mon Jul 7 15:00:53 2025 A1: 40012020299862979957252989161802
  188. Mon Jul 7 15:00:53 2025 A2: -75044943556033761754354453
  189. Mon Jul 7 15:00:53 2025 A3: -9490407990424563313
  190. Mon Jul 7 15:00:53 2025 A4: 16976294855390
  191. Mon Jul 7 15:00:53 2025 A5: 2566200
  192. Mon Jul 7 15:00:53 2025 skew 1973950.63, size 1.442e-15, alpha -7.249, combined = 1.439e-12 rroots = 5
  193. Mon Jul 7 15:00:53 2025
  194. Mon Jul 7 15:00:53 2025 commencing linear algebra
  195. Mon Jul 7 15:00:53 2025 using VBITS=512
  196. Mon Jul 7 15:00:53 2025 skipping matrix build
  197. Mon Jul 7 15:00:59 2025 matrix starts at (0, 0)
  198. Mon Jul 7 15:01:00 2025 matrix is 5640300 x 5640475 (2664.2 MB) with weight 816004061 (144.67/col)
  199. Mon Jul 7 15:01:00 2025 sparse part has weight 630709874 (111.82/col)
  200. Mon Jul 7 15:01:00 2025 saving the first 496 matrix rows for later
  201. Mon Jul 7 15:01:03 2025 matrix includes 512 packed rows
  202. Mon Jul 7 15:01:07 2025 matrix is 5639804 x 5640475 (2452.4 MB) with weight 540200892 (95.77/col)
  203. Mon Jul 7 15:01:07 2025 sparse part has weight 507511426 (89.98/col)
  204. Mon Jul 7 15:01:07 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  205. Mon Jul 7 15:01:07 2025 selected card has CUDA arch 8.6
  206. Mon Jul 7 15:01:51 2025 commencing Lanczos iteration
  207. Mon Jul 7 15:01:52 2025 memory use: 6712.2 MB
  208. Mon Jul 7 15:02:12 2025 linear algebra at 0.3%, ETA 2h 2m
  209. Mon Jul 7 15:02:13 2025 checkpointing every 2720000 dimensions
  210. Mon Jul 7 17:20:48 2025 lanczos halted after 11033 iterations (dim = 5639804)
  211. Mon Jul 7 17:22:35 2025 recovered 27 nontrivial dependencies
  212. Mon Jul 7 17:22:36 2025 BLanczosTime: 8503
  213. Mon Jul 7 17:22:36 2025
  214. Mon Jul 7 17:22:36 2025 commencing square root phase
  215. Mon Jul 7 17:22:36 2025 handling dependencies 1 to 64
  216. Mon Jul 7 17:22:36 2025 reading relations for dependency 1
  217. Mon Jul 7 17:22:37 2025 read 2820243 cycles
  218. Mon Jul 7 17:22:44 2025 cycles contain 9996064 unique relations
  219. Mon Jul 7 17:24:12 2025 read 9996064 relations
  220. Mon Jul 7 17:25:10 2025 multiplying 9996064 relations
  221. Mon Jul 7 17:37:21 2025 multiply complete, coefficients have about 569.85 million bits
  222. Mon Jul 7 17:37:25 2025 initial square root is modulo 129589
  223. Mon Jul 7 17:52:13 2025 GCD is N, no factor found
  224. Mon Jul 7 17:52:13 2025 reading relations for dependency 2
  225. Mon Jul 7 17:52:14 2025 read 2821688 cycles
  226. Mon Jul 7 17:52:20 2025 cycles contain 9995212 unique relations
  227. Mon Jul 7 17:53:45 2025 read 9995212 relations
  228. Mon Jul 7 17:54:46 2025 multiplying 9995212 relations
  229. Mon Jul 7 18:07:06 2025 multiply complete, coefficients have about 569.80 million bits
  230. Mon Jul 7 18:07:10 2025 initial square root is modulo 129443
  231. Mon Jul 7 18:21:40 2025 sqrtTime: 3544
  232. Mon Jul 7 18:21:40 2025 p77 factor: 91462583289904188611615996143663363003275765257450512472153562368779884633043
  233. Mon Jul 7 18:21:40 2025 p84 factor: 177582596978394975568854385859245596475970671463939423114802666938562225199953809951
  234. Mon Jul 7 18:21:40 2025 elapsed time 03:20:48
  235.  
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