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  1. Wed Jul 9 17:22:06 2025
  2. Wed Jul 9 17:22:06 2025
  3. Wed Jul 9 17:22:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jul 9 17:22:06 2025 random seeds: 8373c5db fd89a348
  5. Wed Jul 9 17:22:06 2025 factoring 428883636014476334698155072555505809914290311558395735335667825988185577126306386972937402341945778843005602928856821964567633430077121614456493356305917996871717655913188345926295016814319457768795278328993 (207 digits)
  6. Wed Jul 9 17:22:07 2025 searching for 15-digit factors
  7. Wed Jul 9 17:22:08 2025 commencing number field sieve (207-digit input)
  8. Wed Jul 9 17:22:08 2025 R0: 16022042796016826883498019139516127793
  9. Wed Jul 9 17:22:08 2025 R1: -1
  10. Wed Jul 9 17:22:08 2025 A0: 1
  11. Wed Jul 9 17:22:08 2025 A1: 1
  12. Wed Jul 9 17:22:08 2025 A2: 1
  13. Wed Jul 9 17:22:08 2025 A3: 1
  14. Wed Jul 9 17:22:08 2025 A4: 1
  15. Wed Jul 9 17:22:08 2025 A5: 1
  16. Wed Jul 9 17:22:08 2025 A6: 1
  17. Wed Jul 9 17:22:08 2025 skew 1.35, size 4.560e-11, alpha 2.428, combined = 1.923e-12 rroots = 0
  18. Wed Jul 9 17:22:08 2025
  19. Wed Jul 9 17:22:08 2025 commencing relation filtering
  20. Wed Jul 9 17:22:08 2025 setting target matrix density to 110.0
  21. Wed Jul 9 17:22:08 2025 estimated available RAM is 15938.6 MB
  22. Wed Jul 9 17:22:08 2025 commencing duplicate removal, pass 1
  23. Wed Jul 9 17:39:26 2025 skipped 4 relations with b > 2^32
  24. Wed Jul 9 17:39:26 2025 found 5256178 hash collisions in 109922310 relations
  25. Wed Jul 9 17:39:27 2025 commencing duplicate removal, pass 2
  26. Wed Jul 9 17:40:37 2025 found 0 duplicates and 109922310 unique relations
  27. Wed Jul 9 17:40:37 2025 memory use: 378.4 MB
  28. Wed Jul 9 17:40:37 2025 reading ideals above 64028672
  29. Wed Jul 9 17:40:37 2025 commencing singleton removal, initial pass
  30. Wed Jul 9 17:54:11 2025 memory use: 2756.0 MB
  31. Wed Jul 9 17:54:11 2025 reading all ideals from disk
  32. Wed Jul 9 17:54:15 2025 memory use: 1918.6 MB
  33. Wed Jul 9 17:54:26 2025 commencing in-memory singleton removal
  34. Wed Jul 9 17:54:36 2025 begin with 109922310 relations and 84562865 unique ideals
  35. Wed Jul 9 17:56:18 2025 reduce to 78394999 relations and 50302025 ideals in 12 passes
  36. Wed Jul 9 17:56:18 2025 max relations containing the same ideal: 34
  37. Wed Jul 9 17:56:28 2025 reading ideals above 720000
  38. Wed Jul 9 17:56:29 2025 commencing singleton removal, initial pass
  39. Wed Jul 9 18:09:45 2025 memory use: 1506.0 MB
  40. Wed Jul 9 18:09:45 2025 reading all ideals from disk
  41. Wed Jul 9 18:09:53 2025 memory use: 2906.5 MB
  42. Wed Jul 9 18:10:07 2025 keeping 57476120 ideals with weight <= 200, target excess is 398598
  43. Wed Jul 9 18:10:24 2025 commencing in-memory singleton removal
  44. Wed Jul 9 18:10:36 2025 begin with 78394999 relations and 57476120 unique ideals
  45. Wed Jul 9 18:11:02 2025 reduce to 78394995 relations and 57476116 ideals in 2 passes
  46. Wed Jul 9 18:11:02 2025 max relations containing the same ideal: 200
  47. Wed Jul 9 18:12:05 2025 removing 7704796 relations and 5704796 ideals in 2000000 cliques
  48. Wed Jul 9 18:12:09 2025 commencing in-memory singleton removal
  49. Wed Jul 9 18:12:21 2025 begin with 70690199 relations and 57476116 unique ideals
  50. Wed Jul 9 18:13:56 2025 reduce to 70053200 relations and 51114527 ideals in 9 passes
  51. Wed Jul 9 18:13:56 2025 max relations containing the same ideal: 193
  52. Wed Jul 9 18:14:53 2025 removing 6295864 relations and 4295864 ideals in 2000000 cliques
  53. Wed Jul 9 18:14:57 2025 commencing in-memory singleton removal
  54. Wed Jul 9 18:15:07 2025 begin with 63757336 relations and 51114527 unique ideals
  55. Wed Jul 9 18:16:18 2025 reduce to 63318516 relations and 46367119 ideals in 7 passes
  56. Wed Jul 9 18:16:18 2025 max relations containing the same ideal: 184
  57. Wed Jul 9 18:17:09 2025 removing 5863205 relations and 3863205 ideals in 2000000 cliques
  58. Wed Jul 9 18:17:13 2025 commencing in-memory singleton removal
  59. Wed Jul 9 18:17:22 2025 begin with 57455311 relations and 46367119 unique ideals
  60. Wed Jul 9 18:18:27 2025 reduce to 57065574 relations and 42102778 ideals in 7 passes
  61. Wed Jul 9 18:18:27 2025 max relations containing the same ideal: 171
  62. Wed Jul 9 18:19:13 2025 removing 5639592 relations and 3639592 ideals in 2000000 cliques
  63. Wed Jul 9 18:19:16 2025 commencing in-memory singleton removal
  64. Wed Jul 9 18:19:24 2025 begin with 51425982 relations and 42102778 unique ideals
  65. Wed Jul 9 18:20:21 2025 reduce to 51050412 relations and 38075764 ideals in 7 passes
  66. Wed Jul 9 18:20:21 2025 max relations containing the same ideal: 161
  67. Wed Jul 9 18:21:00 2025 removing 5506243 relations and 3506243 ideals in 2000000 cliques
  68. Wed Jul 9 18:21:04 2025 commencing in-memory singleton removal
  69. Wed Jul 9 18:21:11 2025 begin with 45544169 relations and 38075764 unique ideals
  70. Wed Jul 9 18:21:55 2025 reduce to 45165331 relations and 34177640 ideals in 6 passes
  71. Wed Jul 9 18:21:55 2025 max relations containing the same ideal: 149
  72. Wed Jul 9 18:22:31 2025 removing 5417053 relations and 3417053 ideals in 2000000 cliques
  73. Wed Jul 9 18:22:34 2025 commencing in-memory singleton removal
  74. Wed Jul 9 18:22:39 2025 begin with 39748278 relations and 34177640 unique ideals
  75. Wed Jul 9 18:23:18 2025 reduce to 39352740 relations and 30349831 ideals in 6 passes
  76. Wed Jul 9 18:23:18 2025 max relations containing the same ideal: 134
  77. Wed Jul 9 18:23:50 2025 removing 5363820 relations and 3363820 ideals in 2000000 cliques
  78. Wed Jul 9 18:23:53 2025 commencing in-memory singleton removal
  79. Wed Jul 9 18:23:58 2025 begin with 33988920 relations and 30349831 unique ideals
  80. Wed Jul 9 18:24:35 2025 reduce to 33561449 relations and 26540117 ideals in 7 passes
  81. Wed Jul 9 18:24:35 2025 max relations containing the same ideal: 120
  82. Wed Jul 9 18:24:56 2025 removing 5320970 relations and 3320970 ideals in 2000000 cliques
  83. Wed Jul 9 18:24:58 2025 commencing in-memory singleton removal
  84. Wed Jul 9 18:25:02 2025 begin with 28240479 relations and 26540117 unique ideals
  85. Wed Jul 9 18:25:26 2025 reduce to 27766606 relations and 22721081 ideals in 7 passes
  86. Wed Jul 9 18:25:26 2025 max relations containing the same ideal: 106
  87. Wed Jul 9 18:25:46 2025 removing 5287552 relations and 3287552 ideals in 2000000 cliques
  88. Wed Jul 9 18:25:48 2025 commencing in-memory singleton removal
  89. Wed Jul 9 18:25:51 2025 begin with 22479054 relations and 22721081 unique ideals
  90. Wed Jul 9 18:26:13 2025 reduce to 21934519 relations and 18856351 ideals in 7 passes
  91. Wed Jul 9 18:26:13 2025 max relations containing the same ideal: 91
  92. Wed Jul 9 18:26:30 2025 removing 5250907 relations and 3250907 ideals in 2000000 cliques
  93. Wed Jul 9 18:26:33 2025 commencing in-memory singleton removal
  94. Wed Jul 9 18:26:36 2025 begin with 16683612 relations and 18856351 unique ideals
  95. Wed Jul 9 18:26:57 2025 reduce to 16019871 relations and 14890791 ideals in 9 passes
  96. Wed Jul 9 18:26:57 2025 max relations containing the same ideal: 73
  97. Wed Jul 9 18:27:11 2025 removing 2078337 relations and 1411631 ideals in 666706 cliques
  98. Wed Jul 9 18:27:13 2025 commencing in-memory singleton removal
  99. Wed Jul 9 18:27:15 2025 begin with 13941534 relations and 14890791 unique ideals
  100. Wed Jul 9 18:27:27 2025 reduce to 13711437 relations and 13239608 ideals in 7 passes
  101. Wed Jul 9 18:27:27 2025 max relations containing the same ideal: 66
  102. Wed Jul 9 18:27:36 2025 removing 55595 relations and 46140 ideals in 9455 cliques
  103. Wed Jul 9 18:27:37 2025 commencing in-memory singleton removal
  104. Wed Jul 9 18:27:38 2025 begin with 13655842 relations and 13239608 unique ideals
  105. Wed Jul 9 18:27:45 2025 reduce to 13655628 relations and 13193254 ideals in 4 passes
  106. Wed Jul 9 18:27:45 2025 max relations containing the same ideal: 65
  107. Wed Jul 9 18:27:48 2025 relations with 0 large ideals: 29743
  108. Wed Jul 9 18:27:48 2025 relations with 1 large ideals: 8723
  109. Wed Jul 9 18:27:48 2025 relations with 2 large ideals: 80937
  110. Wed Jul 9 18:27:48 2025 relations with 3 large ideals: 491902
  111. Wed Jul 9 18:27:48 2025 relations with 4 large ideals: 1599929
  112. Wed Jul 9 18:27:48 2025 relations with 5 large ideals: 3059377
  113. Wed Jul 9 18:27:48 2025 relations with 6 large ideals: 3607724
  114. Wed Jul 9 18:27:48 2025 relations with 7+ large ideals: 4777293
  115. Wed Jul 9 18:27:48 2025 commencing 2-way merge
  116. Wed Jul 9 18:27:59 2025 reduce to 9421134 relation sets and 8958760 unique ideals
  117. Wed Jul 9 18:27:59 2025 commencing full merge
  118. Wed Jul 9 18:33:46 2025 memory use: 1248.7 MB
  119. Wed Jul 9 18:33:47 2025 found 4372693 cycles, need 4340960
  120. Wed Jul 9 18:33:49 2025 weight of 4340960 cycles is about 478011151 (110.12/cycle)
  121. Wed Jul 9 18:33:49 2025 distribution of cycle lengths:
  122. Wed Jul 9 18:33:49 2025 1 relations: 150668
  123. Wed Jul 9 18:33:49 2025 2 relations: 237048
  124. Wed Jul 9 18:33:49 2025 3 relations: 303979
  125. Wed Jul 9 18:33:49 2025 4 relations: 332215
  126. Wed Jul 9 18:33:49 2025 5 relations: 348072
  127. Wed Jul 9 18:33:49 2025 6 relations: 351899
  128. Wed Jul 9 18:33:49 2025 7 relations: 343732
  129. Wed Jul 9 18:33:49 2025 8 relations: 325488
  130. Wed Jul 9 18:33:49 2025 9 relations: 300705
  131. Wed Jul 9 18:33:49 2025 10+ relations: 1647154
  132. Wed Jul 9 18:33:49 2025 heaviest cycle: 28 relations
  133. Wed Jul 9 18:33:51 2025 commencing cycle optimization
  134. Wed Jul 9 18:34:04 2025 start with 37608481 relations
  135. Wed Jul 9 18:36:29 2025 pruned 1927133 relations
  136. Wed Jul 9 18:36:29 2025 memory use: 957.7 MB
  137. Wed Jul 9 18:36:29 2025 distribution of cycle lengths:
  138. Wed Jul 9 18:36:29 2025 1 relations: 150668
  139. Wed Jul 9 18:36:29 2025 2 relations: 242980
  140. Wed Jul 9 18:36:29 2025 3 relations: 317570
  141. Wed Jul 9 18:36:29 2025 4 relations: 347481
  142. Wed Jul 9 18:36:29 2025 5 relations: 368613
  143. Wed Jul 9 18:36:29 2025 6 relations: 372209
  144. Wed Jul 9 18:36:29 2025 7 relations: 365159
  145. Wed Jul 9 18:36:29 2025 8 relations: 343501
  146. Wed Jul 9 18:36:29 2025 9 relations: 316440
  147. Wed Jul 9 18:36:29 2025 10+ relations: 1516339
  148. Wed Jul 9 18:36:29 2025 heaviest cycle: 28 relations
  149. Wed Jul 9 18:36:41 2025 RelProcTime: 4473
  150. Wed Jul 9 18:36:41 2025
  151. Wed Jul 9 18:36:41 2025 commencing linear algebra
  152. Wed Jul 9 18:36:41 2025 using VBITS=512
  153. Wed Jul 9 18:36:42 2025 read 4340960 cycles
  154. Wed Jul 9 18:36:55 2025 cycles contain 13446644 unique relations
  155. Wed Jul 9 18:38:00 2025 read 13446644 relations
  156. Wed Jul 9 18:38:23 2025 using 20 quadratic characters above 4294917295
  157. Wed Jul 9 18:39:24 2025 building initial matrix
  158. Wed Jul 9 18:42:45 2025 memory use: 1656.1 MB
  159. Wed Jul 9 18:42:47 2025 read 4340960 cycles
  160. Wed Jul 9 18:42:48 2025 matrix is 4340783 x 4340960 (1878.4 MB) with weight 535875750 (123.45/col)
  161. Wed Jul 9 18:42:48 2025 sparse part has weight 444660986 (102.43/col)
  162. Wed Jul 9 18:43:52 2025 filtering completed in 2 passes
  163. Wed Jul 9 18:43:53 2025 matrix is 4340634 x 4340778 (1878.4 MB) with weight 535869502 (123.45/col)
  164. Wed Jul 9 18:43:53 2025 sparse part has weight 444658298 (102.44/col)
  165. Wed Jul 9 18:44:11 2025 matrix starts at (0, 0)
  166. Wed Jul 9 18:44:12 2025 matrix is 4340634 x 4340778 (1878.4 MB) with weight 535869502 (123.45/col)
  167. Wed Jul 9 18:44:12 2025 sparse part has weight 444658298 (102.44/col)
  168. Wed Jul 9 18:44:12 2025 saving the first 496 matrix rows for later
  169. Wed Jul 9 18:44:15 2025 matrix includes 512 packed rows
  170. Wed Jul 9 18:44:21 2025 matrix is 4340138 x 4340778 (1767.9 MB) with weight 380619858 (87.68/col)
  171. Wed Jul 9 18:44:21 2025 sparse part has weight 359275624 (82.77/col)
  172. Wed Jul 9 18:50:12 2025
  173. Wed Jul 9 18:50:12 2025
  174. Wed Jul 9 18:50:12 2025 Msieve v. 1.54 (SVN unknown)
  175. Wed Jul 9 18:50:12 2025 random seeds: ec102f1f 6b09adb0
  176. Wed Jul 9 18:50:12 2025 factoring 428883636014476334698155072555505809914290311558395735335667825988185577126306386972937402341945778843005602928856821964567633430077121614456493356305917996871717655913188345926295016814319457768795278328993 (207 digits)
  177. Wed Jul 9 18:50:13 2025 no P-1/P+1/ECM available, skipping
  178. Wed Jul 9 18:50:13 2025 commencing number field sieve (207-digit input)
  179. Wed Jul 9 18:50:13 2025 R0: 16022042796016826883498019139516127793
  180. Wed Jul 9 18:50:13 2025 R1: -1
  181. Wed Jul 9 18:50:13 2025 A0: 1
  182. Wed Jul 9 18:50:13 2025 A1: 1
  183. Wed Jul 9 18:50:13 2025 A2: 1
  184. Wed Jul 9 18:50:13 2025 A3: 1
  185. Wed Jul 9 18:50:13 2025 A4: 1
  186. Wed Jul 9 18:50:13 2025 A5: 1
  187. Wed Jul 9 18:50:13 2025 A6: 1
  188. Wed Jul 9 18:50:13 2025 skew 1.35, size 4.560e-11, alpha 2.428, combined = 1.923e-12 rroots = 0
  189. Wed Jul 9 18:50:13 2025
  190. Wed Jul 9 18:50:13 2025 commencing linear algebra
  191. Wed Jul 9 18:50:13 2025 using VBITS=512
  192. Wed Jul 9 18:50:13 2025 skipping matrix build
  193. Wed Jul 9 18:50:15 2025 matrix starts at (0, 0)
  194. Wed Jul 9 18:50:16 2025 matrix is 4340634 x 4340778 (1878.4 MB) with weight 535869502 (123.45/col)
  195. Wed Jul 9 18:50:16 2025 sparse part has weight 444658298 (102.44/col)
  196. Wed Jul 9 18:50:16 2025 saving the first 496 matrix rows for later
  197. Wed Jul 9 18:50:18 2025 matrix includes 512 packed rows
  198. Wed Jul 9 18:50:22 2025 matrix is 4340138 x 4340778 (1767.9 MB) with weight 380619858 (87.68/col)
  199. Wed Jul 9 18:50:22 2025 sparse part has weight 359275624 (82.77/col)
  200. Wed Jul 9 18:50:22 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  201. Wed Jul 9 18:50:22 2025 selected card has CUDA arch 8.6
  202. Wed Jul 9 18:50:55 2025 commencing Lanczos iteration
  203. Wed Jul 9 18:50:56 2025 memory use: 4893.7 MB
  204. Wed Jul 9 18:51:11 2025 linear algebra at 0.4%, ETA 1h 5m
  205. Wed Jul 9 18:51:12 2025 checkpointing every 3810000 dimensions
  206. Wed Jul 9 20:08:09 2025 lanczos halted after 8491 iterations (dim = 4340134)
  207. Wed Jul 9 20:09:11 2025 recovered 37 nontrivial dependencies
  208. Wed Jul 9 20:09:12 2025 BLanczosTime: 4739
  209. Thu Jul 10 07:00:10 2025
  210. Thu Jul 10 07:00:10 2025
  211. Thu Jul 10 07:00:10 2025 Msieve v. 1.54 (SVN Unversioned directory)
  212. Thu Jul 10 07:00:10 2025 random seeds: 9890f5bb 5480b030
  213. Thu Jul 10 07:00:10 2025 factoring 428883636014476334698155072555505809914290311558395735335667825988185577126306386972937402341945778843005602928856821964567633430077121614456493356305917996871717655913188345926295016814319457768795278328993 (207 digits)
  214. Thu Jul 10 07:00:11 2025 searching for 15-digit factors
  215. Thu Jul 10 07:00:12 2025 commencing number field sieve (207-digit input)
  216. Thu Jul 10 07:00:12 2025 R0: 16022042796016826883498019139516127793
  217. Thu Jul 10 07:00:12 2025 R1: -1
  218. Thu Jul 10 07:00:12 2025 A0: 1
  219. Thu Jul 10 07:00:12 2025 A1: 1
  220. Thu Jul 10 07:00:12 2025 A2: 1
  221. Thu Jul 10 07:00:12 2025 A3: 1
  222. Thu Jul 10 07:00:12 2025 A4: 1
  223. Thu Jul 10 07:00:12 2025 A5: 1
  224. Thu Jul 10 07:00:12 2025 A6: 1
  225. Thu Jul 10 07:00:12 2025 skew 1.35, size 4.560e-11, alpha 2.428, combined = 1.923e-12 rroots = 0
  226. Thu Jul 10 07:00:12 2025
  227. Thu Jul 10 07:00:12 2025 commencing square root phase
  228. Thu Jul 10 07:00:12 2025 reading relations for dependency 1
  229. Thu Jul 10 07:00:13 2025 read 2170325 cycles
  230. Thu Jul 10 07:00:18 2025 cycles contain 6723986 unique relations
  231. Thu Jul 10 07:00:47 2025 read 6723986 relations
  232. Thu Jul 10 07:01:16 2025 multiplying 6723986 relations
  233. Thu Jul 10 07:04:33 2025 multiply complete, coefficients have about 163.22 million bits
  234. Thu Jul 10 07:04:34 2025 initial square root is modulo 720527
  235. Thu Jul 10 07:08:09 2025 found factor: 114891588439881492747920559624126369071351976511224451819735661987753118760273
  236. Thu Jul 10 07:08:09 2025 reading relations for dependency 2
  237. Thu Jul 10 07:08:10 2025 read 2169991 cycles
  238. Thu Jul 10 07:08:13 2025 cycles contain 6721644 unique relations
  239. Thu Jul 10 07:08:44 2025 read 6721644 relations
  240. Thu Jul 10 07:09:14 2025 multiplying 6721644 relations
  241. Thu Jul 10 07:14:28 2025 multiply complete, coefficients have about 163.17 million bits
  242. Thu Jul 10 07:14:29 2025 initial square root is modulo 717293
  243. Thu Jul 10 07:18:52 2025 GCD is N, no factor found
  244. Thu Jul 10 07:18:52 2025 reading relations for dependency 3
  245. Thu Jul 10 07:18:53 2025 read 2169701 cycles
  246. Thu Jul 10 07:18:57 2025 cycles contain 6719886 unique relations
  247. Thu Jul 10 07:19:29 2025 read 6719886 relations
  248. Thu Jul 10 07:20:03 2025 multiplying 6719886 relations
  249. Thu Jul 10 07:23:40 2025 multiply complete, coefficients have about 163.13 million bits
  250. Thu Jul 10 07:23:41 2025 initial square root is modulo 714887
  251. Thu Jul 10 07:28:38 2025 found factor: 114891588439881492747920559624126369071351976511224451819735661987753118760273
  252. Thu Jul 10 07:28:38 2025 reading relations for dependency 4
  253. Thu Jul 10 07:28:39 2025 read 2170007 cycles
  254. Thu Jul 10 07:28:43 2025 cycles contain 6724894 unique relations
  255. Thu Jul 10 07:29:12 2025 read 6724894 relations
  256. Thu Jul 10 07:29:45 2025 multiplying 6724894 relations
  257. Thu Jul 10 07:34:16 2025 multiply complete, coefficients have about 163.24 million bits
  258. Thu Jul 10 07:34:17 2025 initial square root is modulo 721843
  259. Thu Jul 10 07:40:08 2025 sqrtTime: 2396
  260. Thu Jul 10 07:40:08 2025 p56 factor: 18688633938652352801567068368672734060939498321431966781
  261. Thu Jul 10 07:40:08 2025 p75 factor: 199743973420140235363840089275007952237861436944945975254665222115181105061
  262. Thu Jul 10 07:40:08 2025 p78 factor: 114891588439881492747920559624126369071351976511224451819735661987753118760273
  263. Thu Jul 10 07:40:08 2025 elapsed time 00:39:58
  264.  
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