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May 30th, 2025
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  1. Fri May 30 11:01:19 2025
  2. Fri May 30 11:01:19 2025
  3. Fri May 30 11:01:19 2025 Msieve v. 1.54 (SVN unknown)
  4. Fri May 30 11:01:19 2025 random seeds: 54b8274f 17ae4931
  5. Fri May 30 11:01:19 2025 factoring 56676840674244470987196524318044208125054941696033941327493144913629451782299005902157174964838624790461600919755790960459599026049808788941792250996406625451517063049176128129013973643525333769916925141164750782863161774187383 (227 digits)
  6. Fri May 30 11:01:20 2025 no P-1/P+1/ECM available, skipping
  7. Fri May 30 11:01:20 2025 commencing number field sieve (227-digit input)
  8. Fri May 30 11:01:20 2025 R0: 126118074151863389852194089292179705343
  9. Fri May 30 11:01:20 2025 R1: -1
  10. Fri May 30 11:01:20 2025 A0: 1
  11. Fri May 30 11:01:20 2025 A1: 1
  12. Fri May 30 11:01:20 2025 A2: 1
  13. Fri May 30 11:01:20 2025 A3: 1
  14. Fri May 30 11:01:20 2025 A4: 1
  15. Fri May 30 11:01:20 2025 A5: 1
  16. Fri May 30 11:01:20 2025 A6: 1
  17. Fri May 30 11:01:20 2025 skew 1.00, size 2.529e-11, alpha 2.428, combined = 1.252e-12 rroots = 0
  18. Fri May 30 11:01:20 2025
  19. Fri May 30 11:01:20 2025 commencing relation filtering
  20. Fri May 30 11:01:20 2025 setting target matrix density to 100.0
  21. Fri May 30 11:01:20 2025 estimated available RAM is 15954.4 MB
  22. Fri May 30 11:01:20 2025 commencing duplicate removal, pass 1
  23. Fri May 30 11:12:03 2025 error -15 reading relation 91737198
  24. Fri May 30 11:13:39 2025 skipped 12 relations with b > 2^32
  25. Fri May 30 11:13:39 2025 skipped 5 relations with composite factors
  26. Fri May 30 11:13:39 2025 found 4588813 hash collisions in 102439804 relations
  27. Fri May 30 11:13:39 2025 commencing duplicate removal, pass 2
  28. Fri May 30 11:14:11 2025 found 0 duplicates and 102439804 unique relations
  29. Fri May 30 11:14:11 2025 memory use: 261.2 MB
  30. Fri May 30 11:14:11 2025 reading ideals above 69926912
  31. Fri May 30 11:14:11 2025 commencing singleton removal, initial pass
  32. Fri May 30 11:24:25 2025 memory use: 2756.0 MB
  33. Fri May 30 11:24:26 2025 reading all ideals from disk
  34. Fri May 30 11:24:30 2025 memory use: 1831.9 MB
  35. Fri May 30 11:24:43 2025 commencing in-memory singleton removal
  36. Fri May 30 11:24:52 2025 begin with 102439804 relations and 83985721 unique ideals
  37. Fri May 30 11:26:27 2025 reduce to 69528851 relations and 47904362 ideals in 13 passes
  38. Fri May 30 11:26:27 2025 max relations containing the same ideal: 44
  39. Fri May 30 11:26:33 2025 reading ideals above 720000
  40. Fri May 30 11:26:33 2025 commencing singleton removal, initial pass
  41. Fri May 30 11:37:42 2025 memory use: 1506.0 MB
  42. Fri May 30 11:37:42 2025 reading all ideals from disk
  43. Fri May 30 11:37:48 2025 memory use: 2612.6 MB
  44. Fri May 30 11:38:05 2025 keeping 55785964 ideals with weight <= 200, target excess is 346314
  45. Fri May 30 11:38:21 2025 commencing in-memory singleton removal
  46. Fri May 30 11:38:31 2025 begin with 69528852 relations and 55785964 unique ideals
  47. Fri May 30 11:38:50 2025 reduce to 69528803 relations and 55785912 ideals in 2 passes
  48. Fri May 30 11:38:50 2025 max relations containing the same ideal: 200
  49. Fri May 30 11:39:46 2025 removing 8511252 relations and 6511252 ideals in 2000000 cliques
  50. Fri May 30 11:39:49 2025 commencing in-memory singleton removal
  51. Fri May 30 11:39:58 2025 begin with 61017551 relations and 55785912 unique ideals
  52. Fri May 30 11:40:59 2025 reduce to 60080317 relations and 48303523 ideals in 9 passes
  53. Fri May 30 11:40:59 2025 max relations containing the same ideal: 192
  54. Fri May 30 11:41:38 2025 removing 6939150 relations and 4939150 ideals in 2000000 cliques
  55. Fri May 30 11:41:42 2025 commencing in-memory singleton removal
  56. Fri May 30 11:41:49 2025 begin with 53141167 relations and 48303523 unique ideals
  57. Fri May 30 11:42:36 2025 reduce to 52467727 relations and 42668302 ideals in 8 passes
  58. Fri May 30 11:42:36 2025 max relations containing the same ideal: 176
  59. Fri May 30 11:43:10 2025 removing 6475078 relations and 4475078 ideals in 2000000 cliques
  60. Fri May 30 11:43:14 2025 commencing in-memory singleton removal
  61. Fri May 30 11:43:20 2025 begin with 45992649 relations and 42668302 unique ideals
  62. Fri May 30 11:43:59 2025 reduce to 45353835 relations and 37531223 ideals in 8 passes
  63. Fri May 30 11:43:59 2025 max relations containing the same ideal: 160
  64. Fri May 30 11:44:31 2025 removing 6272752 relations and 4272753 ideals in 2000000 cliques
  65. Fri May 30 11:44:34 2025 commencing in-memory singleton removal
  66. Fri May 30 11:44:39 2025 begin with 39081083 relations and 37531223 unique ideals
  67. Fri May 30 11:45:11 2025 reduce to 38416627 relations and 32567010 ideals in 7 passes
  68. Fri May 30 11:45:11 2025 max relations containing the same ideal: 147
  69. Fri May 30 11:45:37 2025 removing 6173080 relations and 4173080 ideals in 2000000 cliques
  70. Fri May 30 11:45:40 2025 commencing in-memory singleton removal
  71. Fri May 30 11:45:44 2025 begin with 32243547 relations and 32567010 unique ideals
  72. Fri May 30 11:46:08 2025 reduce to 31508480 relations and 27624108 ideals in 7 passes
  73. Fri May 30 11:46:08 2025 max relations containing the same ideal: 126
  74. Fri May 30 11:46:29 2025 removing 6130471 relations and 4130471 ideals in 2000000 cliques
  75. Fri May 30 11:46:32 2025 commencing in-memory singleton removal
  76. Fri May 30 11:46:35 2025 begin with 25378009 relations and 27624108 unique ideals
  77. Fri May 30 11:46:56 2025 reduce to 24522760 relations and 22588770 ideals in 8 passes
  78. Fri May 30 11:46:56 2025 max relations containing the same ideal: 111
  79. Fri May 30 11:47:13 2025 removing 4928310 relations and 3396045 ideals in 1532265 cliques
  80. Fri May 30 11:47:16 2025 commencing in-memory singleton removal
  81. Fri May 30 11:47:18 2025 begin with 19594450 relations and 22588770 unique ideals
  82. Fri May 30 11:47:38 2025 reduce to 18882045 relations and 18439763 ideals in 10 passes
  83. Fri May 30 11:47:38 2025 max relations containing the same ideal: 91
  84. Fri May 30 11:47:52 2025 removing 261454 relations and 220897 ideals in 40557 cliques
  85. Fri May 30 11:47:54 2025 commencing in-memory singleton removal
  86. Fri May 30 11:47:56 2025 begin with 18620591 relations and 18439763 unique ideals
  87. Fri May 30 11:48:08 2025 reduce to 18617728 relations and 18215992 ideals in 6 passes
  88. Fri May 30 11:48:08 2025 max relations containing the same ideal: 89
  89. Fri May 30 11:48:12 2025 relations with 0 large ideals: 25445
  90. Fri May 30 11:48:12 2025 relations with 1 large ideals: 6380
  91. Fri May 30 11:48:12 2025 relations with 2 large ideals: 46108
  92. Fri May 30 11:48:12 2025 relations with 3 large ideals: 337148
  93. Fri May 30 11:48:12 2025 relations with 4 large ideals: 1346745
  94. Fri May 30 11:48:12 2025 relations with 5 large ideals: 3220180
  95. Fri May 30 11:48:12 2025 relations with 6 large ideals: 4779774
  96. Fri May 30 11:48:12 2025 relations with 7+ large ideals: 8855948
  97. Fri May 30 11:48:12 2025 commencing 2-way merge
  98. Fri May 30 11:48:30 2025 reduce to 12268461 relation sets and 11866724 unique ideals
  99. Fri May 30 11:48:30 2025 commencing full merge
  100. Fri May 30 11:55:58 2025 memory use: 1673.6 MB
  101. Fri May 30 11:56:00 2025 found 5856305 cycles, need 5828924
  102. Fri May 30 11:56:03 2025 weight of 5828924 cycles is about 583473899 (100.10/cycle)
  103. Fri May 30 11:56:03 2025 distribution of cycle lengths:
  104. Fri May 30 11:56:03 2025 1 relations: 350590
  105. Fri May 30 11:56:03 2025 2 relations: 441650
  106. Fri May 30 11:56:03 2025 3 relations: 488221
  107. Fri May 30 11:56:03 2025 4 relations: 486973
  108. Fri May 30 11:56:03 2025 5 relations: 483557
  109. Fri May 30 11:56:03 2025 6 relations: 467374
  110. Fri May 30 11:56:03 2025 7 relations: 440346
  111. Fri May 30 11:56:03 2025 8 relations: 406553
  112. Fri May 30 11:56:03 2025 9 relations: 367128
  113. Fri May 30 11:56:03 2025 10+ relations: 1896532
  114. Fri May 30 11:56:03 2025 heaviest cycle: 28 relations
  115. Fri May 30 11:56:06 2025 commencing cycle optimization
  116. Fri May 30 11:56:23 2025 start with 46011018 relations
  117. Fri May 30 11:58:44 2025 pruned 1911074 relations
  118. Fri May 30 11:58:44 2025 memory use: 1249.3 MB
  119. Fri May 30 11:58:44 2025 distribution of cycle lengths:
  120. Fri May 30 11:58:44 2025 1 relations: 350590
  121. Fri May 30 11:58:44 2025 2 relations: 450636
  122. Fri May 30 11:58:44 2025 3 relations: 506525
  123. Fri May 30 11:58:44 2025 4 relations: 505543
  124. Fri May 30 11:58:44 2025 5 relations: 505209
  125. Fri May 30 11:58:44 2025 6 relations: 486945
  126. Fri May 30 11:58:44 2025 7 relations: 460997
  127. Fri May 30 11:58:44 2025 8 relations: 422340
  128. Fri May 30 11:58:44 2025 9 relations: 379533
  129. Fri May 30 11:58:44 2025 10+ relations: 1760606
  130. Fri May 30 11:58:44 2025 heaviest cycle: 28 relations
  131. Fri May 30 11:59:04 2025 RelProcTime: 3464
  132. Fri May 30 11:59:04 2025 elapsed time 00:57:45
  133. Fri May 30 13:35:59 2025
  134. Fri May 30 13:35:59 2025
  135. Fri May 30 13:35:59 2025 Msieve v. 1.54 (SVN unknown)
  136. Fri May 30 13:35:59 2025 random seeds: 821061be b8ce2e16
  137. Fri May 30 13:35:59 2025 factoring 56676840674244470987196524318044208125054941696033941327493144913629451782299005902157174964838624790461600919755790960459599026049808788941792250996406625451517063049176128129013973643525333769916925141164750782863161774187383 (227 digits)
  138. Fri May 30 13:35:59 2025 no P-1/P+1/ECM available, skipping
  139. Fri May 30 13:35:59 2025 commencing number field sieve (227-digit input)
  140. Fri May 30 13:36:00 2025 R0: 126118074151863389852194089292179705343
  141. Fri May 30 13:36:00 2025 R1: -1
  142. Fri May 30 13:36:00 2025 A0: 1
  143. Fri May 30 13:36:00 2025 A1: 1
  144. Fri May 30 13:36:00 2025 A2: 1
  145. Fri May 30 13:36:00 2025 A3: 1
  146. Fri May 30 13:36:00 2025 A4: 1
  147. Fri May 30 13:36:00 2025 A5: 1
  148. Fri May 30 13:36:00 2025 A6: 1
  149. Fri May 30 13:36:00 2025 skew 1.00, size 2.529e-11, alpha 2.428, combined = 1.252e-12 rroots = 0
  150. Fri May 30 13:36:00 2025
  151. Fri May 30 13:36:00 2025 commencing linear algebra
  152. Fri May 30 13:36:00 2025 using VBITS=512
  153. Fri May 30 13:36:00 2025 read 5828924 cycles
  154. Fri May 30 13:36:20 2025 cycles contain 18394684 unique relations
  155. Fri May 30 13:38:06 2025 read 18394684 relations
  156. Fri May 30 13:39:13 2025 using 20 quadratic characters above 4294917295
  157. Fri May 30 13:40:42 2025 building initial matrix
  158. Fri May 30 13:47:02 2025 memory use: 2286.8 MB
  159. Fri May 30 13:47:06 2025 read 5828924 cycles
  160. Fri May 30 13:47:06 2025 matrix is 5828747 x 5828924 (2343.3 MB) with weight 669746728 (114.90/col)
  161. Fri May 30 13:47:06 2025 sparse part has weight 550162908 (94.38/col)
  162. Fri May 30 13:48:56 2025 filtering completed in 2 passes
  163. Fri May 30 13:48:57 2025 matrix is 5828482 x 5828626 (2343.3 MB) with weight 669737162 (114.90/col)
  164. Fri May 30 13:48:57 2025 sparse part has weight 550159341 (94.39/col)
  165. Fri May 30 13:49:19 2025 matrix starts at (0, 0)
  166. Fri May 30 13:49:20 2025 matrix is 5828482 x 5828626 (2343.3 MB) with weight 669737162 (114.90/col)
  167. Fri May 30 13:49:20 2025 sparse part has weight 550159341 (94.39/col)
  168. Fri May 30 13:49:20 2025 saving the first 496 matrix rows for later
  169. Fri May 30 13:49:21 2025 matrix includes 512 packed rows
  170. Fri May 30 13:49:26 2025 matrix is 5827986 x 5828626 (2238.9 MB) with weight 472688353 (81.10/col)
  171. Fri May 30 13:49:26 2025 sparse part has weight 447022351 (76.69/col)
  172. Fri May 30 13:49:27 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  173. Fri May 30 13:49:27 2025 selected card has CUDA arch 8.6
  174. Fri May 30 13:50:23 2025 commencing Lanczos iteration
  175. Fri May 30 13:50:24 2025 memory use: 6345.5 MB
  176. Fri May 30 13:50:44 2025 linear algebra at 0.3%, ETA 2h 0m
  177. Fri May 30 13:50:45 2025 checkpointing every 2860000 dimensions
  178. Fri May 30 16:08:04 2025 lanczos halted after 11401 iterations (dim = 5827982)
  179. Fri May 30 16:10:17 2025 recovered 33 nontrivial dependencies
  180. Fri May 30 16:10:17 2025 BLanczosTime: 9257
  181. Fri May 30 16:10:17 2025
  182. Fri May 30 16:10:17 2025 commencing square root phase
  183. Fri May 30 16:10:17 2025 handling dependencies 1 to 64
  184. Fri May 30 16:10:17 2025 reading relations for dependency 1
  185. Fri May 30 16:10:25 2025 read 2912175 cycles
  186. Fri May 30 16:10:30 2025 cycles contain 9191644 unique relations
  187. Fri May 30 16:11:42 2025 read 9191644 relations
  188. Fri May 30 16:12:28 2025 multiplying 9191644 relations
  189. Fri May 30 16:17:16 2025 multiply complete, coefficients have about 224.04 million bits
  190. Fri May 30 16:17:18 2025 initial square root is modulo 109674421
  191. Fri May 30 16:22:56 2025 GCD is N, no factor found
  192. Fri May 30 16:22:56 2025 reading relations for dependency 2
  193. Fri May 30 16:22:57 2025 read 2915917 cycles
  194. Fri May 30 16:23:02 2025 cycles contain 9199864 unique relations
  195. Fri May 30 16:23:47 2025 read 9199864 relations
  196. Fri May 30 16:24:27 2025 multiplying 9199864 relations
  197. Fri May 30 16:29:32 2025 multiply complete, coefficients have about 224.23 million bits
  198. Fri May 30 16:29:34 2025 initial square root is modulo 111419089
  199. Fri May 30 16:35:27 2025 sqrtTime: 1510
  200. Fri May 30 16:35:27 2025 p50 factor: 56235546420204081407681808920124869905634262666397
  201. Fri May 30 16:35:27 2025 p178 factor: 1007847247553050238543190477542009817028227439242135057281492194756498224534316120653739114334743106315143513615162725817885180575027404237632625588107082364029036828589066760739
  202. Fri May 30 16:35:27 2025 elapsed time 02:59:28
  203.  
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