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Oct 27th, 2025
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  1. Mon Oct 27 15:23:47 2025
  2. Mon Oct 27 15:23:47 2025
  3. Mon Oct 27 15:23:47 2025 Msieve v. 1.54 (SVN unknown)
  4. Mon Oct 27 15:23:47 2025 random seeds: f5800e7c 376c5886
  5. Mon Oct 27 15:23:47 2025 factoring 329224490667549988264044051507107757508155021195600777049997053383579725046547931929606100005389695376090449546460045063142492141530517703893416954205566335788232547481946957 (174 digits)
  6. Mon Oct 27 15:23:47 2025 no P-1/P+1/ECM available, skipping
  7. Mon Oct 27 15:23:47 2025 commencing number field sieve (174-digit input)
  8. Mon Oct 27 15:23:47 2025 R0: 82146666020179351101107684005120682282997843290
  9. Mon Oct 27 15:23:47 2025 R1: -286612396836179001835483
  10. Mon Oct 27 15:23:47 2025 A0: 1
  11. Mon Oct 27 15:23:47 2025 A1: 3
  12. Mon Oct 27 15:23:47 2025 A2: -3
  13. Mon Oct 27 15:23:47 2025 A3: -4
  14. Mon Oct 27 15:23:47 2025 A4: 1
  15. Mon Oct 27 15:23:47 2025 A5: 1
  16. Mon Oct 27 15:23:47 2025 skew 1.00, size 5.852e-16, alpha 2.379, combined = 6.584e-13 rroots = 5
  17. Mon Oct 27 15:23:47 2025
  18. Mon Oct 27 15:23:47 2025 commencing relation filtering
  19. Mon Oct 27 15:23:47 2025 setting target matrix density to 100.0
  20. Mon Oct 27 15:23:47 2025 estimated available RAM is 7902.4 MB
  21. Mon Oct 27 15:23:47 2025 commencing duplicate removal, pass 1
  22. Mon Oct 27 15:36:46 2025 skipped 70 relations with b > 2^32
  23. Mon Oct 27 15:36:46 2025 found 4650497 hash collisions in 144563712 relations
  24. Mon Oct 27 15:36:46 2025 commencing duplicate removal, pass 2
  25. Mon Oct 27 15:37:28 2025 found 0 duplicates and 144563712 unique relations
  26. Mon Oct 27 15:37:28 2025 memory use: 389.2 MB
  27. Mon Oct 27 15:37:28 2025 reading ideals above 91947008
  28. Mon Oct 27 15:37:28 2025 commencing singleton removal, initial pass
  29. Mon Oct 27 15:46:29 2025 memory use: 3012.0 MB
  30. Mon Oct 27 15:46:29 2025 reading all ideals from disk
  31. Mon Oct 27 15:46:36 2025 memory use: 2663.7 MB
  32. Mon Oct 27 15:46:42 2025 commencing in-memory singleton removal
  33. Mon Oct 27 15:46:47 2025 begin with 144563712 relations and 116630056 unique ideals
  34. Mon Oct 27 15:47:38 2025 reduce to 98596122 relations and 66502464 ideals in 12 passes
  35. Mon Oct 27 15:47:38 2025 max relations containing the same ideal: 49
  36. Mon Oct 27 15:47:43 2025 reading ideals above 720000
  37. Mon Oct 27 15:47:44 2025 commencing singleton removal, initial pass
  38. Mon Oct 27 15:55:31 2025 memory use: 1506.0 MB
  39. Mon Oct 27 15:55:32 2025 reading all ideals from disk
  40. Mon Oct 27 15:55:42 2025 memory use: 3780.7 MB
  41. Mon Oct 27 15:55:50 2025 keeping 76666869 ideals with weight <= 200, target excess is 482336
  42. Mon Oct 27 15:56:00 2025 commencing in-memory singleton removal
  43. Mon Oct 27 15:56:06 2025 begin with 98596122 relations and 76666869 unique ideals
  44. Mon Oct 27 15:56:18 2025 reduce to 98596066 relations and 76666813 ideals in 2 passes
  45. Mon Oct 27 15:56:18 2025 max relations containing the same ideal: 200
  46. Mon Oct 27 15:56:48 2025 removing 8711158 relations and 6711158 ideals in 2000000 cliques
  47. Mon Oct 27 15:56:52 2025 commencing in-memory singleton removal
  48. Mon Oct 27 15:56:57 2025 begin with 89884908 relations and 76666813 unique ideals
  49. Mon Oct 27 15:57:32 2025 reduce to 89259638 relations and 69314014 ideals in 7 passes
  50. Mon Oct 27 15:57:32 2025 max relations containing the same ideal: 197
  51. Mon Oct 27 15:57:59 2025 removing 6866704 relations and 4866704 ideals in 2000000 cliques
  52. Mon Oct 27 15:58:02 2025 commencing in-memory singleton removal
  53. Mon Oct 27 15:58:06 2025 begin with 82392934 relations and 69314014 unique ideals
  54. Mon Oct 27 15:58:43 2025 reduce to 81958998 relations and 64003358 ideals in 8 passes
  55. Mon Oct 27 15:58:43 2025 max relations containing the same ideal: 189
  56. Mon Oct 27 15:59:07 2025 removing 6369286 relations and 4369286 ideals in 2000000 cliques
  57. Mon Oct 27 15:59:09 2025 commencing in-memory singleton removal
  58. Mon Oct 27 15:59:14 2025 begin with 75589712 relations and 64003358 unique ideals
  59. Mon Oct 27 15:59:39 2025 reduce to 75196684 relations and 59231835 ideals in 6 passes
  60. Mon Oct 27 15:59:39 2025 max relations containing the same ideal: 179
  61. Mon Oct 27 16:00:01 2025 removing 6120599 relations and 4120599 ideals in 2000000 cliques
  62. Mon Oct 27 16:00:03 2025 commencing in-memory singleton removal
  63. Mon Oct 27 16:00:07 2025 begin with 69076085 relations and 59231835 unique ideals
  64. Mon Oct 27 16:00:30 2025 reduce to 68694197 relations and 54719825 ideals in 6 passes
  65. Mon Oct 27 16:00:30 2025 max relations containing the same ideal: 170
  66. Mon Oct 27 16:00:51 2025 removing 5994521 relations and 3994521 ideals in 2000000 cliques
  67. Mon Oct 27 16:00:53 2025 commencing in-memory singleton removal
  68. Mon Oct 27 16:00:57 2025 begin with 62699676 relations and 54719825 unique ideals
  69. Mon Oct 27 16:01:21 2025 reduce to 62309052 relations and 50324349 ideals in 7 passes
  70. Mon Oct 27 16:01:21 2025 max relations containing the same ideal: 166
  71. Mon Oct 27 16:01:40 2025 removing 5916861 relations and 3916861 ideals in 2000000 cliques
  72. Mon Oct 27 16:01:42 2025 commencing in-memory singleton removal
  73. Mon Oct 27 16:01:45 2025 begin with 56392191 relations and 50324349 unique ideals
  74. Mon Oct 27 16:02:06 2025 reduce to 55976978 relations and 45980396 ideals in 7 passes
  75. Mon Oct 27 16:02:06 2025 max relations containing the same ideal: 153
  76. Mon Oct 27 16:02:23 2025 removing 5889636 relations and 3889636 ideals in 2000000 cliques
  77. Mon Oct 27 16:02:25 2025 commencing in-memory singleton removal
  78. Mon Oct 27 16:02:28 2025 begin with 50087342 relations and 45980396 unique ideals
  79. Mon Oct 27 16:02:47 2025 reduce to 49630644 relations and 41619413 ideals in 7 passes
  80. Mon Oct 27 16:02:47 2025 max relations containing the same ideal: 139
  81. Mon Oct 27 16:03:03 2025 removing 5895878 relations and 3895878 ideals in 2000000 cliques
  82. Mon Oct 27 16:03:05 2025 commencing in-memory singleton removal
  83. Mon Oct 27 16:03:07 2025 begin with 43734766 relations and 41619413 unique ideals
  84. Mon Oct 27 16:03:21 2025 reduce to 43215720 relations and 37186186 ideals in 6 passes
  85. Mon Oct 27 16:03:21 2025 max relations containing the same ideal: 123
  86. Mon Oct 27 16:03:35 2025 removing 5947304 relations and 3947304 ideals in 2000000 cliques
  87. Mon Oct 27 16:03:36 2025 commencing in-memory singleton removal
  88. Mon Oct 27 16:03:39 2025 begin with 37268416 relations and 37186186 unique ideals
  89. Mon Oct 27 16:03:54 2025 reduce to 36657300 relations and 32603012 ideals in 8 passes
  90. Mon Oct 27 16:03:54 2025 max relations containing the same ideal: 114
  91. Mon Oct 27 16:04:06 2025 removing 6041602 relations and 4041602 ideals in 2000000 cliques
  92. Mon Oct 27 16:04:08 2025 commencing in-memory singleton removal
  93. Mon Oct 27 16:04:09 2025 begin with 30615698 relations and 32603012 unique ideals
  94. Mon Oct 27 16:04:22 2025 reduce to 29855176 relations and 27764322 ideals in 8 passes
  95. Mon Oct 27 16:04:22 2025 max relations containing the same ideal: 98
  96. Mon Oct 27 16:04:32 2025 removing 4989742 relations and 3458398 ideals in 1531344 cliques
  97. Mon Oct 27 16:04:33 2025 commencing in-memory singleton removal
  98. Mon Oct 27 16:04:34 2025 begin with 24865434 relations and 27764322 unique ideals
  99. Mon Oct 27 16:04:44 2025 reduce to 24198300 relations and 23607546 ideals in 8 passes
  100. Mon Oct 27 16:04:44 2025 max relations containing the same ideal: 86
  101. Mon Oct 27 16:04:52 2025 removing 214034 relations and 182790 ideals in 31244 cliques
  102. Mon Oct 27 16:04:53 2025 commencing in-memory singleton removal
  103. Mon Oct 27 16:04:54 2025 begin with 23984266 relations and 23607546 unique ideals
  104. Mon Oct 27 16:05:00 2025 reduce to 23982722 relations and 23423211 ideals in 5 passes
  105. Mon Oct 27 16:05:00 2025 max relations containing the same ideal: 84
  106. Mon Oct 27 16:05:04 2025 relations with 0 large ideals: 37830
  107. Mon Oct 27 16:05:04 2025 relations with 1 large ideals: 5980
  108. Mon Oct 27 16:05:04 2025 relations with 2 large ideals: 76045
  109. Mon Oct 27 16:05:04 2025 relations with 3 large ideals: 525507
  110. Mon Oct 27 16:05:04 2025 relations with 4 large ideals: 1985032
  111. Mon Oct 27 16:05:04 2025 relations with 5 large ideals: 4477590
  112. Mon Oct 27 16:05:04 2025 relations with 6 large ideals: 7112911
  113. Mon Oct 27 16:05:04 2025 relations with 7+ large ideals: 9761827
  114. Mon Oct 27 16:05:04 2025 commencing 2-way merge
  115. Mon Oct 27 16:05:15 2025 reduce to 15858205 relation sets and 15298694 unique ideals
  116. Mon Oct 27 16:05:15 2025 commencing full merge
  117. Mon Oct 27 16:09:48 2025 memory use: 2057.6 MB
  118. Mon Oct 27 16:09:49 2025 found 7453291 cycles, need 7414894
  119. Mon Oct 27 16:09:51 2025 weight of 7414894 cycles is about 741556746 (100.01/cycle)
  120. Mon Oct 27 16:09:52 2025 distribution of cycle lengths:
  121. Mon Oct 27 16:09:52 2025 1 relations: 490777
  122. Mon Oct 27 16:09:52 2025 2 relations: 569949
  123. Mon Oct 27 16:09:52 2025 3 relations: 604371
  124. Mon Oct 27 16:09:52 2025 4 relations: 595710
  125. Mon Oct 27 16:09:52 2025 5 relations: 591578
  126. Mon Oct 27 16:09:52 2025 6 relations: 575255
  127. Mon Oct 27 16:09:52 2025 7 relations: 547237
  128. Mon Oct 27 16:09:52 2025 8 relations: 508843
  129. Mon Oct 27 16:09:52 2025 9 relations: 464652
  130. Mon Oct 27 16:09:52 2025 10+ relations: 2466522
  131. Mon Oct 27 16:09:52 2025 heaviest cycle: 28 relations
  132. Mon Oct 27 16:09:53 2025 commencing cycle optimization
  133. Mon Oct 27 16:10:04 2025 start with 58915045 relations
  134. Mon Oct 27 16:11:40 2025 pruned 2511604 relations
  135. Mon Oct 27 16:11:40 2025 memory use: 1599.4 MB
  136. Mon Oct 27 16:11:40 2025 distribution of cycle lengths:
  137. Mon Oct 27 16:11:40 2025 1 relations: 490777
  138. Mon Oct 27 16:11:40 2025 2 relations: 581501
  139. Mon Oct 27 16:11:40 2025 3 relations: 626878
  140. Mon Oct 27 16:11:40 2025 4 relations: 618600
  141. Mon Oct 27 16:11:40 2025 5 relations: 619818
  142. Mon Oct 27 16:11:40 2025 6 relations: 600747
  143. Mon Oct 27 16:11:40 2025 7 relations: 573897
  144. Mon Oct 27 16:11:40 2025 8 relations: 530341
  145. Mon Oct 27 16:11:40 2025 9 relations: 480733
  146. Mon Oct 27 16:11:40 2025 10+ relations: 2291602
  147. Mon Oct 27 16:11:40 2025 heaviest cycle: 28 relations
  148. Mon Oct 27 16:11:50 2025 RelProcTime: 2883
  149. Mon Oct 27 16:11:50 2025 elapsed time 00:48:03
  150. Mon Oct 27 16:12:44 2025
  151. Mon Oct 27 16:12:44 2025
  152. Mon Oct 27 16:12:44 2025 Msieve v. 1.54 (SVN unknown)
  153. Mon Oct 27 16:12:44 2025 random seeds: a9b66c1d 7767bde8
  154. Mon Oct 27 16:12:44 2025 factoring 329224490667549988264044051507107757508155021195600777049997053383579725046547931929606100005389695376090449546460045063142492141530517703893416954205566335788232547481946957 (174 digits)
  155. Mon Oct 27 16:12:45 2025 no P-1/P+1/ECM available, skipping
  156. Mon Oct 27 16:12:45 2025 commencing number field sieve (174-digit input)
  157. Mon Oct 27 16:12:45 2025 R0: 82146666020179351101107684005120682282997843290
  158. Mon Oct 27 16:12:45 2025 R1: -286612396836179001835483
  159. Mon Oct 27 16:12:45 2025 A0: 1
  160. Mon Oct 27 16:12:45 2025 A1: 3
  161. Mon Oct 27 16:12:45 2025 A2: -3
  162. Mon Oct 27 16:12:45 2025 A3: -4
  163. Mon Oct 27 16:12:45 2025 A4: 1
  164. Mon Oct 27 16:12:45 2025 A5: 1
  165. Mon Oct 27 16:12:45 2025 skew 1.00, size 5.852e-16, alpha 2.379, combined = 6.584e-13 rroots = 5
  166. Mon Oct 27 16:12:45 2025
  167. Mon Oct 27 16:12:45 2025 commencing linear algebra
  168. Mon Oct 27 16:12:45 2025 using VBITS=512
  169. Mon Oct 27 16:12:45 2025 read 7414894 cycles
  170. Mon Oct 27 16:12:58 2025 cycles contain 23664627 unique relations
  171. Mon Oct 27 16:14:17 2025 read 23664627 relations
  172. Mon Oct 27 16:14:43 2025 using 20 quadratic characters above 4294917295
  173. Mon Oct 27 16:16:14 2025 building initial matrix
  174. Mon Oct 27 16:19:36 2025 memory use: 2916.7 MB
  175. Mon Oct 27 16:19:39 2025 read 7414894 cycles
  176. Mon Oct 27 16:19:40 2025 matrix is 7414715 x 7414894 (2978.3 MB) with weight 853366738 (115.09/col)
  177. Mon Oct 27 16:19:40 2025 sparse part has weight 699189190 (94.30/col)
  178. Mon Oct 27 16:20:49 2025 filtering completed in 2 passes
  179. Mon Oct 27 16:20:50 2025 matrix is 7414252 x 7414392 (2978.3 MB) with weight 853351369 (115.09/col)
  180. Mon Oct 27 16:20:50 2025 sparse part has weight 699184364 (94.30/col)
  181. Mon Oct 27 16:21:08 2025 matrix starts at (0, 0)
  182. Mon Oct 27 16:21:09 2025 matrix is 7414252 x 7414392 (2978.3 MB) with weight 853351369 (115.09/col)
  183. Mon Oct 27 16:21:09 2025 sparse part has weight 699184364 (94.30/col)
  184. Mon Oct 27 16:21:09 2025 saving the first 496 matrix rows for later
  185. Mon Oct 27 16:21:11 2025 matrix includes 512 packed rows
  186. Mon Oct 27 16:21:16 2025 matrix is 7413756 x 7414392 (2855.7 MB) with weight 602861279 (81.31/col)
  187. Mon Oct 27 16:21:16 2025 sparse part has weight 570666434 (76.97/col)
  188. Mon Oct 27 16:21:16 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  189. Mon Oct 27 16:21:16 2025 selected card has CUDA arch 8.6
  190. Mon Oct 27 16:29:19 2025
  191. Mon Oct 27 16:29:19 2025
  192. Mon Oct 27 16:29:19 2025 Msieve v. 1.54 (SVN unknown)
  193. Mon Oct 27 16:29:19 2025 random seeds: a3a61db2 86c1d7ad
  194. Mon Oct 27 16:29:19 2025 factoring 329224490667549988264044051507107757508155021195600777049997053383579725046547931929606100005389695376090449546460045063142492141530517703893416954205566335788232547481946957 (174 digits)
  195. Mon Oct 27 16:29:20 2025 no P-1/P+1/ECM available, skipping
  196. Mon Oct 27 16:29:20 2025 commencing number field sieve (174-digit input)
  197. Mon Oct 27 16:29:20 2025 R0: 82146666020179351101107684005120682282997843290
  198. Mon Oct 27 16:29:20 2025 R1: -286612396836179001835483
  199. Mon Oct 27 16:29:20 2025 A0: 1
  200. Mon Oct 27 16:29:20 2025 A1: 3
  201. Mon Oct 27 16:29:20 2025 A2: -3
  202. Mon Oct 27 16:29:20 2025 A3: -4
  203. Mon Oct 27 16:29:20 2025 A4: 1
  204. Mon Oct 27 16:29:20 2025 A5: 1
  205. Mon Oct 27 16:29:20 2025 skew 1.00, size 5.852e-16, alpha 2.379, combined = 6.584e-13 rroots = 5
  206. Mon Oct 27 16:29:20 2025
  207. Mon Oct 27 16:29:20 2025 commencing linear algebra
  208. Mon Oct 27 16:29:20 2025 using VBITS=512
  209. Mon Oct 27 16:29:20 2025 skipping matrix build
  210. Mon Oct 27 16:29:27 2025 matrix starts at (0, 0)
  211. Mon Oct 27 16:29:28 2025 matrix is 7414252 x 7414392 (2978.3 MB) with weight 853351369 (115.09/col)
  212. Mon Oct 27 16:29:28 2025 sparse part has weight 699184364 (94.30/col)
  213. Mon Oct 27 16:29:28 2025 saving the first 496 matrix rows for later
  214. Mon Oct 27 16:29:29 2025 matrix includes 512 packed rows
  215. Mon Oct 27 16:29:34 2025 matrix is 7413756 x 7414392 (2855.7 MB) with weight 602861279 (81.31/col)
  216. Mon Oct 27 16:29:34 2025 sparse part has weight 570666434 (76.97/col)
  217. Mon Oct 27 16:29:34 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  218. Mon Oct 27 16:29:34 2025 selected card has CUDA arch 8.6
  219. Mon Oct 27 16:30:35 2025 commencing Lanczos iteration
  220. Mon Oct 27 16:30:36 2025 memory use: 8143.9 MB
  221. Mon Oct 27 16:31:02 2025 linear algebra at 0.2%, ETA 3h21m
  222. Mon Oct 27 16:31:03 2025 checkpointing every 2200000 dimensions
  223. Mon Oct 27 20:10:58 2025 lanczos halted after 14503 iterations (dim = 7413753)
  224. Mon Oct 27 20:12:38 2025 recovered 34 nontrivial dependencies
  225. Mon Oct 27 20:12:38 2025 BLanczosTime: 13398
  226. Mon Oct 27 20:12:38 2025 elapsed time 03:43:19
  227. Mon Oct 27 20:13:56 2025
  228. Mon Oct 27 20:13:56 2025
  229. Mon Oct 27 20:13:56 2025 Msieve v. 1.54 (SVN unknown)
  230. Mon Oct 27 20:13:56 2025 random seeds: 5258049b 92818d57
  231. Mon Oct 27 20:13:56 2025 factoring 329224490667549988264044051507107757508155021195600777049997053383579725046547931929606100005389695376090449546460045063142492141530517703893416954205566335788232547481946957 (174 digits)
  232. Mon Oct 27 20:13:56 2025 no P-1/P+1/ECM available, skipping
  233. Mon Oct 27 20:13:56 2025 commencing number field sieve (174-digit input)
  234. Mon Oct 27 20:13:56 2025 R0: 82146666020179351101107684005120682282997843290
  235. Mon Oct 27 20:13:56 2025 R1: -286612396836179001835483
  236. Mon Oct 27 20:13:56 2025 A0: 1
  237. Mon Oct 27 20:13:56 2025 A1: 3
  238. Mon Oct 27 20:13:56 2025 A2: -3
  239. Mon Oct 27 20:13:56 2025 A3: -4
  240. Mon Oct 27 20:13:56 2025 A4: 1
  241. Mon Oct 27 20:13:56 2025 A5: 1
  242. Mon Oct 27 20:13:56 2025 skew 1.00, size 5.852e-16, alpha 2.379, combined = 6.584e-13 rroots = 5
  243. Mon Oct 27 20:13:56 2025
  244. Mon Oct 27 20:13:56 2025 commencing square root phase
  245. Mon Oct 27 20:13:56 2025 reading relations for dependency 1
  246. Mon Oct 27 20:13:57 2025 read 3703721 cycles
  247. Mon Oct 27 20:14:02 2025 cycles contain 11824654 unique relations
  248. Mon Oct 27 20:14:58 2025 read 11824654 relations
  249. Mon Oct 27 20:15:44 2025 multiplying 11824654 relations
  250. Mon Oct 27 20:19:41 2025 multiply complete, coefficients have about 293.56 million bits
  251. Mon Oct 27 20:19:42 2025 initial square root is modulo 185099
  252. Mon Oct 27 20:24:48 2025 sqrtTime: 652
  253. Mon Oct 27 20:24:48 2025 p87 factor: 185817001499688512115765127700965987326923465539203632937868507591182235894666609416263
  254. Mon Oct 27 20:24:48 2025 p88 factor: 1771767319515711119241995148286168547610728463175126717171063650094270565244572968852939
  255. Mon Oct 27 20:24:48 2025 elapsed time 00:10:52
  256.  
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