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Nov 10th, 2025
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  1. Mon Nov 10 11:55:15 2025
  2. Mon Nov 10 11:55:15 2025
  3. Mon Nov 10 11:55:15 2025 Msieve v. 1.54 (SVN unknown)
  4. Mon Nov 10 11:55:15 2025 random seeds: aae504a4 cfc5975c
  5. Mon Nov 10 11:55:15 2025 factoring 18652323969935121203517736288958886702819148676594014730838066125669623889858149307471291423034010194703397920130991790457516728820437729308725548517421552969309974679840894755730010349 (185 digits)
  6. Mon Nov 10 11:55:16 2025 no P-1/P+1/ECM available, skipping
  7. Mon Nov 10 11:55:16 2025 commencing number field sieve (185-digit input)
  8. Mon Nov 10 11:55:16 2025 R0: 41747052941984826327639914833244763161725516850
  9. Mon Nov 10 11:55:16 2025 R1: -204320955709356514177543
  10. Mon Nov 10 11:55:16 2025 A0: 1
  11. Mon Nov 10 11:55:16 2025 A1: 3
  12. Mon Nov 10 11:55:16 2025 A2: -3
  13. Mon Nov 10 11:55:16 2025 A3: -4
  14. Mon Nov 10 11:55:16 2025 A4: 1
  15. Mon Nov 10 11:55:16 2025 A5: 1
  16. Mon Nov 10 11:55:16 2025 skew 1.48, size 7.333e-16, alpha 2.379, combined = 7.732e-13 rroots = 5
  17. Mon Nov 10 11:55:16 2025
  18. Mon Nov 10 11:55:16 2025 commencing relation filtering
  19. Mon Nov 10 11:55:16 2025 setting target matrix density to 112.0
  20. Mon Nov 10 11:55:16 2025 estimated available RAM is 7902.4 MB
  21. Mon Nov 10 11:55:16 2025 commencing duplicate removal, pass 1
  22. Mon Nov 10 11:59:19 2025 error -15 reading relation 39614422
  23. Mon Nov 10 12:10:21 2025 error -11 reading relation 127619490
  24. Mon Nov 10 12:10:21 2025 error -11 reading relation 127719767
  25. Mon Nov 10 12:10:21 2025 error -11 reading relation 127719768
  26. Mon Nov 10 12:13:00 2025 skipped 66 relations with b > 2^32
  27. Mon Nov 10 12:13:00 2025 found 4896788 hash collisions in 148415280 relations
  28. Mon Nov 10 12:13:10 2025 added 2926300 free relations
  29. Mon Nov 10 12:13:10 2025 commencing duplicate removal, pass 2
  30. Mon Nov 10 12:14:18 2025 found 0 duplicates and 151341580 unique relations
  31. Mon Nov 10 12:14:18 2025 memory use: 389.2 MB
  32. Mon Nov 10 12:14:18 2025 reading ideals above 88014848
  33. Mon Nov 10 12:14:18 2025 commencing singleton removal, initial pass
  34. Mon Nov 10 12:30:20 2025 memory use: 3012.0 MB
  35. Mon Nov 10 12:30:20 2025 reading all ideals from disk
  36. Mon Nov 10 12:30:28 2025 memory use: 2805.2 MB
  37. Mon Nov 10 12:30:37 2025 commencing in-memory singleton removal
  38. Mon Nov 10 12:30:46 2025 begin with 151341580 relations and 118633105 unique ideals
  39. Mon Nov 10 12:32:07 2025 reduce to 106873435 relations and 70432886 ideals in 11 passes
  40. Mon Nov 10 12:32:08 2025 max relations containing the same ideal: 32
  41. Mon Nov 10 12:32:16 2025 reading ideals above 720000
  42. Mon Nov 10 12:32:16 2025 commencing singleton removal, initial pass
  43. Mon Nov 10 12:47:01 2025 memory use: 1506.0 MB
  44. Mon Nov 10 12:47:01 2025 reading large ideals from disk
  45. Mon Nov 10 12:47:57 2025 keeping 72936039 ideals with weight <= 20, target excess is 7714355
  46. Mon Nov 10 12:48:57 2025 memory use: 2632.5 MB
  47. Mon Nov 10 12:48:57 2025 commencing in-memory singleton removal
  48. Mon Nov 10 12:49:02 2025 begin with 106873435 relations and 72936039 unique ideals
  49. Mon Nov 10 12:49:13 2025 reduce to 106873411 relations and 72936015 ideals in 2 passes
  50. Mon Nov 10 12:49:13 2025 max relations containing the same ideal: 20
  51. Mon Nov 10 12:49:48 2025 removing 7970647 relations and 5970647 ideals in 2000000 cliques
  52. Mon Nov 10 12:49:53 2025 commencing in-memory singleton removal
  53. Mon Nov 10 12:49:58 2025 begin with 98902764 relations and 72936015 unique ideals
  54. Mon Nov 10 12:50:34 2025 reduce to 98349050 relations and 66397975 ideals in 7 passes
  55. Mon Nov 10 12:50:34 2025 max relations containing the same ideal: 20
  56. Mon Nov 10 12:51:05 2025 removing 6388695 relations and 4388695 ideals in 2000000 cliques
  57. Mon Nov 10 12:51:09 2025 commencing in-memory singleton removal
  58. Mon Nov 10 12:51:13 2025 begin with 91960355 relations and 66397975 unique ideals
  59. Mon Nov 10 12:51:47 2025 reduce to 91583275 relations and 61624096 ideals in 7 passes
  60. Mon Nov 10 12:51:47 2025 max relations containing the same ideal: 20
  61. Mon Nov 10 12:52:14 2025 removing 5980221 relations and 3980221 ideals in 2000000 cliques
  62. Mon Nov 10 12:52:18 2025 commencing in-memory singleton removal
  63. Mon Nov 10 12:52:21 2025 begin with 85603054 relations and 61624096 unique ideals
  64. Mon Nov 10 12:52:51 2025 reduce to 85268877 relations and 57302565 ideals in 7 passes
  65. Mon Nov 10 12:52:51 2025 max relations containing the same ideal: 20
  66. Mon Nov 10 12:53:15 2025 removing 5766870 relations and 3766870 ideals in 2000000 cliques
  67. Mon Nov 10 12:53:18 2025 commencing in-memory singleton removal
  68. Mon Nov 10 12:53:21 2025 begin with 79502007 relations and 57302565 unique ideals
  69. Mon Nov 10 12:53:43 2025 reduce to 79184278 relations and 53210794 ideals in 6 passes
  70. Mon Nov 10 12:53:43 2025 max relations containing the same ideal: 20
  71. Mon Nov 10 12:54:06 2025 removing 5644748 relations and 3644748 ideals in 2000000 cliques
  72. Mon Nov 10 12:54:09 2025 commencing in-memory singleton removal
  73. Mon Nov 10 12:54:12 2025 begin with 73539530 relations and 53210794 unique ideals
  74. Mon Nov 10 12:54:36 2025 reduce to 73224917 relations and 49243901 ideals in 7 passes
  75. Mon Nov 10 12:54:36 2025 max relations containing the same ideal: 20
  76. Mon Nov 10 12:54:57 2025 removing 5558759 relations and 3558759 ideals in 2000000 cliques
  77. Mon Nov 10 12:55:00 2025 commencing in-memory singleton removal
  78. Mon Nov 10 12:55:02 2025 begin with 67666158 relations and 49243901 unique ideals
  79. Mon Nov 10 12:55:24 2025 reduce to 67340321 relations and 45350918 ideals in 7 passes
  80. Mon Nov 10 12:55:24 2025 max relations containing the same ideal: 20
  81. Mon Nov 10 12:55:42 2025 removing 5512220 relations and 3512220 ideals in 2000000 cliques
  82. Mon Nov 10 12:55:45 2025 commencing in-memory singleton removal
  83. Mon Nov 10 12:55:47 2025 begin with 61828101 relations and 45350918 unique ideals
  84. Mon Nov 10 12:56:06 2025 reduce to 61483124 relations and 41484378 ideals in 7 passes
  85. Mon Nov 10 12:56:06 2025 max relations containing the same ideal: 20
  86. Mon Nov 10 12:56:23 2025 removing 5489523 relations and 3489523 ideals in 2000000 cliques
  87. Mon Nov 10 12:56:26 2025 commencing in-memory singleton removal
  88. Mon Nov 10 12:56:28 2025 begin with 55993601 relations and 41484378 unique ideals
  89. Mon Nov 10 12:56:46 2025 reduce to 55606196 relations and 37595886 ideals in 7 passes
  90. Mon Nov 10 12:56:46 2025 max relations containing the same ideal: 19
  91. Mon Nov 10 12:57:02 2025 removing 5512282 relations and 3512282 ideals in 2000000 cliques
  92. Mon Nov 10 12:57:05 2025 commencing in-memory singleton removal
  93. Mon Nov 10 12:57:06 2025 begin with 50093914 relations and 37595886 unique ideals
  94. Mon Nov 10 12:57:22 2025 reduce to 49677898 relations and 33654172 ideals in 7 passes
  95. Mon Nov 10 12:57:22 2025 max relations containing the same ideal: 19
  96. Mon Nov 10 12:57:37 2025 removing 5537264 relations and 3537264 ideals in 2000000 cliques
  97. Mon Nov 10 12:57:39 2025 commencing in-memory singleton removal
  98. Mon Nov 10 12:57:41 2025 begin with 44140634 relations and 33654172 unique ideals
  99. Mon Nov 10 12:57:53 2025 reduce to 43658005 relations and 29617100 ideals in 7 passes
  100. Mon Nov 10 12:57:53 2025 max relations containing the same ideal: 19
  101. Mon Nov 10 12:58:06 2025 removing 5574231 relations and 3574231 ideals in 2000000 cliques
  102. Mon Nov 10 12:58:08 2025 commencing in-memory singleton removal
  103. Mon Nov 10 12:58:10 2025 begin with 38083774 relations and 29617100 unique ideals
  104. Mon Nov 10 12:58:24 2025 reduce to 37475594 relations and 25408828 ideals in 9 passes
  105. Mon Nov 10 12:58:24 2025 max relations containing the same ideal: 19
  106. Mon Nov 10 12:58:35 2025 removing 5690881 relations and 3690881 ideals in 2000000 cliques
  107. Mon Nov 10 12:58:38 2025 commencing in-memory singleton removal
  108. Mon Nov 10 12:58:39 2025 begin with 31784713 relations and 25408828 unique ideals
  109. Mon Nov 10 12:58:49 2025 reduce to 31043255 relations and 20940123 ideals in 8 passes
  110. Mon Nov 10 12:58:49 2025 max relations containing the same ideal: 17
  111. Mon Nov 10 12:58:59 2025 removing 3503282 relations and 2348802 ideals in 1154480 cliques
  112. Mon Nov 10 12:59:01 2025 commencing in-memory singleton removal
  113. Mon Nov 10 12:59:02 2025 begin with 27539973 relations and 20940123 unique ideals
  114. Mon Nov 10 12:59:12 2025 reduce to 27067864 relations and 18100628 ideals in 9 passes
  115. Mon Nov 10 12:59:12 2025 max relations containing the same ideal: 17
  116. Mon Nov 10 12:59:20 2025 removing 77415 relations and 58831 ideals in 18584 cliques
  117. Mon Nov 10 12:59:21 2025 commencing in-memory singleton removal
  118. Mon Nov 10 12:59:22 2025 begin with 26990449 relations and 18100628 unique ideals
  119. Mon Nov 10 12:59:28 2025 reduce to 26989815 relations and 18041163 ideals in 6 passes
  120. Mon Nov 10 12:59:28 2025 max relations containing the same ideal: 17
  121. Mon Nov 10 12:59:29 2025 relations with 0 large ideals: 2127613
  122. Mon Nov 10 12:59:29 2025 relations with 1 large ideals: 7197413
  123. Mon Nov 10 12:59:29 2025 relations with 2 large ideals: 9988242
  124. Mon Nov 10 12:59:29 2025 relations with 3 large ideals: 5735127
  125. Mon Nov 10 12:59:29 2025 relations with 4 large ideals: 1526083
  126. Mon Nov 10 12:59:29 2025 relations with 5 large ideals: 340255
  127. Mon Nov 10 12:59:29 2025 relations with 6 large ideals: 74665
  128. Mon Nov 10 12:59:29 2025 relations with 7+ large ideals: 417
  129. Mon Nov 10 12:59:29 2025 commencing 2-way merge
  130. Mon Nov 10 12:59:40 2025 reduce to 17052845 relation sets and 8104193 unique ideals
  131. Mon Nov 10 12:59:40 2025 commencing full merge
  132. Mon Nov 10 13:00:59 2025 memory use: 764.7 MB
  133. Mon Nov 10 13:01:00 2025 found 8704586 cycles, need 7792555
  134. Mon Nov 10 13:01:03 2025 weight of 7792555 cycles is about 653730503 (83.89/cycle)
  135. Mon Nov 10 13:01:03 2025 distribution of cycle lengths:
  136. Mon Nov 10 13:01:03 2025 1 relations: 2127637
  137. Mon Nov 10 13:01:03 2025 2 relations: 765783
  138. Mon Nov 10 13:01:03 2025 3 relations: 541704
  139. Mon Nov 10 13:01:03 2025 4 relations: 454939
  140. Mon Nov 10 13:01:03 2025 5 relations: 416912
  141. Mon Nov 10 13:01:03 2025 6 relations: 390570
  142. Mon Nov 10 13:01:03 2025 7 relations: 372389
  143. Mon Nov 10 13:01:03 2025 8 relations: 352249
  144. Mon Nov 10 13:01:03 2025 9 relations: 332036
  145. Mon Nov 10 13:01:03 2025 10+ relations: 2038336
  146. Mon Nov 10 13:01:03 2025 heaviest cycle: 23 relations
  147. Mon Nov 10 13:01:03 2025 commencing cycle optimization
  148. Mon Nov 10 13:01:17 2025 start with 47398804 relations
  149. Mon Nov 10 13:02:31 2025 pruned 4184542 relations
  150. Mon Nov 10 13:02:31 2025 memory use: 1340.2 MB
  151. Mon Nov 10 13:02:31 2025 distribution of cycle lengths:
  152. Mon Nov 10 13:02:31 2025 1 relations: 2127637
  153. Mon Nov 10 13:02:31 2025 2 relations: 794692
  154. Mon Nov 10 13:02:31 2025 3 relations: 576539
  155. Mon Nov 10 13:02:31 2025 4 relations: 494377
  156. Mon Nov 10 13:02:31 2025 5 relations: 465356
  157. Mon Nov 10 13:02:31 2025 6 relations: 444095
  158. Mon Nov 10 13:02:31 2025 7 relations: 430351
  159. Mon Nov 10 13:02:31 2025 8 relations: 404987
  160. Mon Nov 10 13:02:31 2025 9 relations: 379629
  161. Mon Nov 10 13:02:31 2025 10+ relations: 1674892
  162. Mon Nov 10 13:02:31 2025 heaviest cycle: 22 relations
  163. Mon Nov 10 13:02:43 2025 RelProcTime: 4047
  164. Mon Nov 10 13:02:46 2025
  165. Mon Nov 10 13:02:46 2025 commencing linear algebra
  166. Mon Nov 10 13:02:46 2025 using VBITS=512
  167. Mon Nov 10 13:02:47 2025 read 7792555 cycles
  168. Mon Nov 10 13:03:00 2025 cycles contain 22404266 unique relations
  169. Mon Nov 10 13:05:02 2025 read 22404266 relations
  170. Mon Nov 10 13:05:28 2025 using 20 quadratic characters above 4294917295
  171. Mon Nov 10 13:07:02 2025 building initial matrix
  172. Mon Nov 10 13:11:20 2025 memory use: 2760.7 MB
  173. Mon Nov 10 13:11:24 2025 read 7792555 cycles
  174. Mon Nov 10 13:11:25 2025 matrix is 7791700 x 7792555 (2496.3 MB) with weight 716351810 (91.93/col)
  175. Mon Nov 10 13:11:25 2025 sparse part has weight 568672422 (72.98/col)
  176. Mon Nov 10 13:13:30 2025 filtering completed in 3 passes
  177. Mon Nov 10 13:13:32 2025 matrix is 7775630 x 7775830 (2493.3 MB) with weight 715441737 (92.01/col)
  178. Mon Nov 10 13:13:32 2025 sparse part has weight 568057260 (73.05/col)
  179. Mon Nov 10 13:13:51 2025 matrix starts at (0, 0)
  180. Mon Nov 10 13:13:52 2025 matrix is 7775630 x 7775830 (2493.3 MB) with weight 715441737 (92.01/col)
  181. Mon Nov 10 13:13:52 2025 sparse part has weight 568057260 (73.05/col)
  182. Mon Nov 10 13:13:52 2025 saving the first 496 matrix rows for later
  183. Mon Nov 10 13:13:54 2025 matrix includes 512 packed rows
  184. Mon Nov 10 13:14:00 2025 matrix is 7775134 x 7775830 (2468.0 MB) with weight 487165125 (62.65/col)
  185. Mon Nov 10 13:14:00 2025 sparse part has weight 460352131 (59.20/col)
  186. Mon Nov 10 13:14:01 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  187. Mon Nov 10 13:14:01 2025 selected card has CUDA arch 8.6
  188. Mon Nov 10 16:18:24 2025
  189. Mon Nov 10 16:18:24 2025
  190. Mon Nov 10 16:18:24 2025 Msieve v. 1.54 (SVN unknown)
  191. Mon Nov 10 16:18:24 2025 random seeds: b50470d5 35f7ab8d
  192. Mon Nov 10 16:18:24 2025 factoring 18652323969935121203517736288958886702819148676594014730838066125669623889858149307471291423034010194703397920130991790457516728820437729308725548517421552969309974679840894755730010349 (185 digits)
  193. Mon Nov 10 16:18:24 2025 no P-1/P+1/ECM available, skipping
  194. Mon Nov 10 16:18:24 2025 commencing number field sieve (185-digit input)
  195. Mon Nov 10 16:18:24 2025 R0: 41747052941984826327639914833244763161725516850
  196. Mon Nov 10 16:18:24 2025 R1: -204320955709356514177543
  197. Mon Nov 10 16:18:24 2025 A0: 1
  198. Mon Nov 10 16:18:24 2025 A1: 3
  199. Mon Nov 10 16:18:24 2025 A2: -3
  200. Mon Nov 10 16:18:24 2025 A3: -4
  201. Mon Nov 10 16:18:24 2025 A4: 1
  202. Mon Nov 10 16:18:24 2025 A5: 1
  203. Mon Nov 10 16:18:24 2025 skew 1.48, size 7.333e-16, alpha 2.379, combined = 7.732e-13 rroots = 5
  204. Mon Nov 10 16:18:24 2025
  205. Mon Nov 10 16:18:24 2025 commencing linear algebra
  206. Mon Nov 10 16:18:24 2025 using VBITS=512
  207. Mon Nov 10 16:18:24 2025 skipping matrix build
  208. Mon Nov 10 16:18:26 2025 matrix starts at (0, 0)
  209. Mon Nov 10 16:18:27 2025 matrix is 7775630 x 7775830 (2493.3 MB) with weight 715441737 (92.01/col)
  210. Mon Nov 10 16:18:27 2025 sparse part has weight 568057260 (73.05/col)
  211. Mon Nov 10 16:18:27 2025 saving the first 496 matrix rows for later
  212. Mon Nov 10 16:18:28 2025 matrix includes 512 packed rows
  213. Mon Nov 10 16:18:33 2025 matrix is 7775134 x 7775830 (2468.0 MB) with weight 487165125 (62.65/col)
  214. Mon Nov 10 16:18:33 2025 sparse part has weight 460352131 (59.20/col)
  215. Mon Nov 10 16:18:33 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  216. Mon Nov 10 16:18:33 2025 selected card has CUDA arch 8.6
  217. Mon Nov 10 16:19:05 2025 commencing Lanczos iteration
  218. Mon Nov 10 16:19:06 2025 memory use: 7427.7 MB
  219. Mon Nov 10 16:19:30 2025 linear algebra at 0.2%, ETA 3h22m
  220. Mon Nov 10 16:19:31 2025 checkpointing every 2290000 dimensions
  221. Mon Nov 10 19:49:38 2025 lanczos halted after 15210 iterations (dim = 7775129)
  222. Mon Nov 10 19:51:27 2025 recovered 33 nontrivial dependencies
  223. Mon Nov 10 19:51:27 2025 BLanczosTime: 12783
  224. Mon Nov 10 19:51:27 2025 elapsed time 03:33:03
  225. Mon Nov 10 20:03:02 2025
  226. Mon Nov 10 20:03:02 2025
  227. Mon Nov 10 20:03:02 2025 Msieve v. 1.54 (SVN unknown)
  228. Mon Nov 10 20:03:02 2025 random seeds: d9037132 8660537a
  229. Mon Nov 10 20:03:02 2025 factoring 18652323969935121203517736288958886702819148676594014730838066125669623889858149307471291423034010194703397920130991790457516728820437729308725548517421552969309974679840894755730010349 (185 digits)
  230. Mon Nov 10 20:03:03 2025 no P-1/P+1/ECM available, skipping
  231. Mon Nov 10 20:03:03 2025 commencing number field sieve (185-digit input)
  232. Mon Nov 10 20:03:03 2025 R0: 41747052941984826327639914833244763161725516850
  233. Mon Nov 10 20:03:03 2025 R1: -204320955709356514177543
  234. Mon Nov 10 20:03:03 2025 A0: 1
  235. Mon Nov 10 20:03:03 2025 A1: 3
  236. Mon Nov 10 20:03:03 2025 A2: -3
  237. Mon Nov 10 20:03:03 2025 A3: -4
  238. Mon Nov 10 20:03:03 2025 A4: 1
  239. Mon Nov 10 20:03:03 2025 A5: 1
  240. Mon Nov 10 20:03:03 2025 skew 1.48, size 7.333e-16, alpha 2.379, combined = 7.732e-13 rroots = 5
  241. Mon Nov 10 20:03:03 2025
  242. Mon Nov 10 20:03:03 2025 commencing square root phase
  243. Mon Nov 10 20:03:03 2025 reading relations for dependency 1
  244. Mon Nov 10 20:03:03 2025 read 3888361 cycles
  245. Mon Nov 10 20:03:08 2025 cycles contain 11195390 unique relations
  246. Mon Nov 10 20:04:00 2025 read 11195390 relations
  247. Mon Nov 10 20:04:38 2025 multiplying 11195390 relations
  248. Mon Nov 10 20:08:28 2025 multiply complete, coefficients have about 277.33 million bits
  249. Mon Nov 10 20:08:29 2025 initial square root is modulo 94693
  250. Mon Nov 10 20:13:13 2025 GCD is N, no factor found
  251. Mon Nov 10 20:13:13 2025 reading relations for dependency 2
  252. Mon Nov 10 20:13:13 2025 read 3888077 cycles
  253. Mon Nov 10 20:13:18 2025 cycles contain 11196372 unique relations
  254. Mon Nov 10 20:14:09 2025 read 11196372 relations
  255. Mon Nov 10 20:14:42 2025 multiplying 11196372 relations
  256. Mon Nov 10 20:18:32 2025 multiply complete, coefficients have about 277.35 million bits
  257. Mon Nov 10 20:18:33 2025 initial square root is modulo 94771
  258. Mon Nov 10 20:23:16 2025 sqrtTime: 1213
  259. Mon Nov 10 20:23:16 2025 p68 factor: 10741131461556202438107003442090141368296752681550562444000540173189
  260. Mon Nov 10 20:23:16 2025 p118 factor: 1736532509325858774905335919909522485263743018328839707859611275023102275655628886216344472293697003029155904920506441
  261. Mon Nov 10 20:23:16 2025 elapsed time 00:20:14
  262.  
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