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  1. Tue Jul 8 11:00:19 2025
  2. Tue Jul 8 11:00:19 2025
  3. Tue Jul 8 11:00:19 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jul 8 11:00:19 2025 random seeds: cfbfb1bf 084c9209
  5. Tue Jul 8 11:00:19 2025 factoring 10162884945277917368614190577859814849457927402314791540453098082389688658408467678180136557810369689265120648128751862304074647585473606602824476002767397126562531443373589449636755302234324951365680522319885498381891307 (221 digits)
  6. Tue Jul 8 11:00:22 2025 searching for 15-digit factors
  7. Tue Jul 8 11:00:23 2025 commencing number field sieve (221-digit input)
  8. Tue Jul 8 11:00:23 2025 R0: 4654104904554660692671641913213035301
  9. Tue Jul 8 11:00:23 2025 R1: -1
  10. Tue Jul 8 11:00:23 2025 A0: 1
  11. Tue Jul 8 11:00:23 2025 A1: 1
  12. Tue Jul 8 11:00:23 2025 A2: 1
  13. Tue Jul 8 11:00:23 2025 A3: 1
  14. Tue Jul 8 11:00:23 2025 A4: 1
  15. Tue Jul 8 11:00:23 2025 A5: 1
  16. Tue Jul 8 11:00:23 2025 A6: 1
  17. Tue Jul 8 11:00:23 2025 skew 1.34, size 6.492e-11, alpha 2.428, combined = 2.475e-12 rroots = 0
  18. Tue Jul 8 11:00:23 2025
  19. Tue Jul 8 11:00:23 2025 commencing relation filtering
  20. Tue Jul 8 11:00:23 2025 setting target matrix density to 112.0
  21. Tue Jul 8 11:00:23 2025 estimated available RAM is 15938.6 MB
  22. Tue Jul 8 11:00:23 2025 commencing duplicate removal, pass 1
  23. Tue Jul 8 11:11:16 2025 error -15 reading relation 57337077
  24. Tue Jul 8 11:20:23 2025 skipped 5 relations with b > 2^32
  25. Tue Jul 8 11:20:23 2025 skipped 4 relations with composite factors
  26. Tue Jul 8 11:20:23 2025 found 5642846 hash collisions in 114006187 relations
  27. Tue Jul 8 11:20:23 2025 commencing duplicate removal, pass 2
  28. Tue Jul 8 11:21:31 2025 found 0 duplicates and 114006187 unique relations
  29. Tue Jul 8 11:21:31 2025 memory use: 378.4 MB
  30. Tue Jul 8 11:21:31 2025 reading ideals above 57999360
  31. Tue Jul 8 11:21:31 2025 commencing singleton removal, initial pass
  32. Tue Jul 8 11:37:59 2025 memory use: 2756.0 MB
  33. Tue Jul 8 11:37:59 2025 reading all ideals from disk
  34. Tue Jul 8 11:38:04 2025 memory use: 2020.3 MB
  35. Tue Jul 8 11:38:14 2025 commencing in-memory singleton removal
  36. Tue Jul 8 11:38:25 2025 begin with 114006187 relations and 85742907 unique ideals
  37. Tue Jul 8 11:40:00 2025 reduce to 83389829 relations and 52628561 ideals in 11 passes
  38. Tue Jul 8 11:40:00 2025 max relations containing the same ideal: 53
  39. Tue Jul 8 11:40:10 2025 reading ideals above 720000
  40. Tue Jul 8 11:40:11 2025 commencing singleton removal, initial pass
  41. Tue Jul 8 11:57:29 2025 memory use: 1506.0 MB
  42. Tue Jul 8 11:57:29 2025 reading all ideals from disk
  43. Tue Jul 8 11:57:36 2025 memory use: 3073.9 MB
  44. Tue Jul 8 11:57:52 2025 keeping 59107115 ideals with weight <= 200, target excess is 421650
  45. Tue Jul 8 11:58:11 2025 commencing in-memory singleton removal
  46. Tue Jul 8 11:58:24 2025 begin with 83389829 relations and 59107115 unique ideals
  47. Tue Jul 8 11:59:08 2025 reduce to 83389819 relations and 59107105 ideals in 3 passes
  48. Tue Jul 8 11:59:08 2025 max relations containing the same ideal: 200
  49. Tue Jul 8 12:00:24 2025 removing 7430960 relations and 5430960 ideals in 2000000 cliques
  50. Tue Jul 8 12:00:29 2025 commencing in-memory singleton removal
  51. Tue Jul 8 12:00:42 2025 begin with 75958859 relations and 59107105 unique ideals
  52. Tue Jul 8 12:02:25 2025 reduce to 75404376 relations and 53105090 ideals in 7 passes
  53. Tue Jul 8 12:02:25 2025 max relations containing the same ideal: 194
  54. Tue Jul 8 12:03:32 2025 removing 6086139 relations and 4086139 ideals in 2000000 cliques
  55. Tue Jul 8 12:03:38 2025 commencing in-memory singleton removal
  56. Tue Jul 8 12:03:50 2025 begin with 69318237 relations and 53105090 unique ideals
  57. Tue Jul 8 12:05:20 2025 reduce to 68937571 relations and 48627769 ideals in 7 passes
  58. Tue Jul 8 12:05:20 2025 max relations containing the same ideal: 188
  59. Tue Jul 8 12:06:23 2025 removing 5680987 relations and 3680987 ideals in 2000000 cliques
  60. Tue Jul 8 12:06:28 2025 commencing in-memory singleton removal
  61. Tue Jul 8 12:06:38 2025 begin with 63256584 relations and 48627769 unique ideals
  62. Tue Jul 8 12:07:57 2025 reduce to 62925185 relations and 44606251 ideals in 7 passes
  63. Tue Jul 8 12:07:57 2025 max relations containing the same ideal: 178
  64. Tue Jul 8 12:08:54 2025 removing 5466057 relations and 3466057 ideals in 2000000 cliques
  65. Tue Jul 8 12:08:58 2025 commencing in-memory singleton removal
  66. Tue Jul 8 12:09:08 2025 begin with 57459128 relations and 44606251 unique ideals
  67. Tue Jul 8 12:10:11 2025 reduce to 57147566 relations and 40819563 ideals in 6 passes
  68. Tue Jul 8 12:10:11 2025 max relations containing the same ideal: 165
  69. Tue Jul 8 12:11:01 2025 removing 5333153 relations and 3333153 ideals in 2000000 cliques
  70. Tue Jul 8 12:11:05 2025 commencing in-memory singleton removal
  71. Tue Jul 8 12:11:14 2025 begin with 51814413 relations and 40819563 unique ideals
  72. Tue Jul 8 12:12:09 2025 reduce to 51506927 relations and 37169287 ideals in 6 passes
  73. Tue Jul 8 12:12:09 2025 max relations containing the same ideal: 156
  74. Tue Jul 8 12:12:46 2025 removing 5239359 relations and 3239359 ideals in 2000000 cliques
  75. Tue Jul 8 12:12:49 2025 commencing in-memory singleton removal
  76. Tue Jul 8 12:12:56 2025 begin with 46267568 relations and 37169287 unique ideals
  77. Tue Jul 8 12:13:35 2025 reduce to 45953327 relations and 33605055 ideals in 6 passes
  78. Tue Jul 8 12:13:35 2025 max relations containing the same ideal: 144
  79. Tue Jul 8 12:14:00 2025 removing 5175530 relations and 3175530 ideals in 2000000 cliques
  80. Tue Jul 8 12:14:02 2025 commencing in-memory singleton removal
  81. Tue Jul 8 12:14:06 2025 begin with 40777797 relations and 33605055 unique ideals
  82. Tue Jul 8 12:14:37 2025 reduce to 40447250 relations and 30086782 ideals in 6 passes
  83. Tue Jul 8 12:14:37 2025 max relations containing the same ideal: 133
  84. Tue Jul 8 12:15:04 2025 removing 5131228 relations and 3131228 ideals in 2000000 cliques
  85. Tue Jul 8 12:15:06 2025 commencing in-memory singleton removal
  86. Tue Jul 8 12:15:10 2025 begin with 35316022 relations and 30086782 unique ideals
  87. Tue Jul 8 12:15:36 2025 reduce to 34959956 relations and 26584738 ideals in 6 passes
  88. Tue Jul 8 12:15:36 2025 max relations containing the same ideal: 122
  89. Tue Jul 8 12:16:06 2025 removing 5100870 relations and 3100870 ideals in 2000000 cliques
  90. Tue Jul 8 12:16:10 2025 commencing in-memory singleton removal
  91. Tue Jul 8 12:16:14 2025 begin with 29859086 relations and 26584738 unique ideals
  92. Tue Jul 8 12:16:49 2025 reduce to 29463135 relations and 23069037 ideals in 7 passes
  93. Tue Jul 8 12:16:49 2025 max relations containing the same ideal: 110
  94. Tue Jul 8 12:17:15 2025 removing 5082394 relations and 3082394 ideals in 2000000 cliques
  95. Tue Jul 8 12:17:18 2025 commencing in-memory singleton removal
  96. Tue Jul 8 12:17:22 2025 begin with 24380741 relations and 23069037 unique ideals
  97. Tue Jul 8 12:17:50 2025 reduce to 23930077 relations and 19511001 ideals in 7 passes
  98. Tue Jul 8 12:17:50 2025 max relations containing the same ideal: 92
  99. Tue Jul 8 12:18:12 2025 removing 5066574 relations and 3066574 ideals in 2000000 cliques
  100. Tue Jul 8 12:18:14 2025 commencing in-memory singleton removal
  101. Tue Jul 8 12:18:17 2025 begin with 18863503 relations and 19511001 unique ideals
  102. Tue Jul 8 12:18:40 2025 reduce to 18324262 relations and 15868832 ideals in 7 passes
  103. Tue Jul 8 12:18:40 2025 max relations containing the same ideal: 74
  104. Tue Jul 8 12:18:56 2025 removing 4964003 relations and 2997687 ideals in 1966316 cliques
  105. Tue Jul 8 12:18:58 2025 commencing in-memory singleton removal
  106. Tue Jul 8 12:19:00 2025 begin with 13360259 relations and 15868832 unique ideals
  107. Tue Jul 8 12:19:17 2025 reduce to 12675218 relations and 12126122 ideals in 8 passes
  108. Tue Jul 8 12:19:17 2025 max relations containing the same ideal: 61
  109. Tue Jul 8 12:19:28 2025 removing 301157 relations and 241175 ideals in 59982 cliques
  110. Tue Jul 8 12:19:29 2025 commencing in-memory singleton removal
  111. Tue Jul 8 12:19:31 2025 begin with 12374061 relations and 12126122 unique ideals
  112. Tue Jul 8 12:19:42 2025 reduce to 12365929 relations and 11876770 ideals in 5 passes
  113. Tue Jul 8 12:19:42 2025 max relations containing the same ideal: 60
  114. Tue Jul 8 12:19:45 2025 relations with 0 large ideals: 31196
  115. Tue Jul 8 12:19:45 2025 relations with 1 large ideals: 11106
  116. Tue Jul 8 12:19:45 2025 relations with 2 large ideals: 100092
  117. Tue Jul 8 12:19:45 2025 relations with 3 large ideals: 564669
  118. Tue Jul 8 12:19:45 2025 relations with 4 large ideals: 1680542
  119. Tue Jul 8 12:19:45 2025 relations with 5 large ideals: 2936355
  120. Tue Jul 8 12:19:45 2025 relations with 6 large ideals: 3182467
  121. Tue Jul 8 12:19:45 2025 relations with 7+ large ideals: 3859502
  122. Tue Jul 8 12:19:45 2025 commencing 2-way merge
  123. Tue Jul 8 12:19:59 2025 reduce to 8763501 relation sets and 8274342 unique ideals
  124. Tue Jul 8 12:19:59 2025 commencing full merge
  125. Tue Jul 8 12:26:23 2025 memory use: 1114.2 MB
  126. Tue Jul 8 12:26:24 2025 found 3964106 cycles, need 3950542
  127. Tue Jul 8 12:26:27 2025 weight of 3950542 cycles is about 442946698 (112.12/cycle)
  128. Tue Jul 8 12:26:27 2025 distribution of cycle lengths:
  129. Tue Jul 8 12:26:27 2025 1 relations: 134822
  130. Tue Jul 8 12:26:27 2025 2 relations: 217593
  131. Tue Jul 8 12:26:27 2025 3 relations: 283431
  132. Tue Jul 8 12:26:27 2025 4 relations: 309861
  133. Tue Jul 8 12:26:27 2025 5 relations: 323730
  134. Tue Jul 8 12:26:27 2025 6 relations: 322802
  135. Tue Jul 8 12:26:27 2025 7 relations: 308820
  136. Tue Jul 8 12:26:27 2025 8 relations: 287142
  137. Tue Jul 8 12:26:27 2025 9 relations: 259650
  138. Tue Jul 8 12:26:27 2025 10+ relations: 1502691
  139. Tue Jul 8 12:26:27 2025 heaviest cycle: 28 relations
  140. Tue Jul 8 12:26:30 2025 commencing cycle optimization
  141. Tue Jul 8 12:26:47 2025 start with 34970936 relations
  142. Tue Jul 8 12:29:26 2025 pruned 1916483 relations
  143. Tue Jul 8 12:29:26 2025 memory use: 874.1 MB
  144. Tue Jul 8 12:29:26 2025 distribution of cycle lengths:
  145. Tue Jul 8 12:29:26 2025 1 relations: 134822
  146. Tue Jul 8 12:29:26 2025 2 relations: 223484
  147. Tue Jul 8 12:29:26 2025 3 relations: 296333
  148. Tue Jul 8 12:29:26 2025 4 relations: 325043
  149. Tue Jul 8 12:29:26 2025 5 relations: 343659
  150. Tue Jul 8 12:29:26 2025 6 relations: 342024
  151. Tue Jul 8 12:29:26 2025 7 relations: 328499
  152. Tue Jul 8 12:29:26 2025 8 relations: 302961
  153. Tue Jul 8 12:29:26 2025 9 relations: 272500
  154. Tue Jul 8 12:29:26 2025 10+ relations: 1381217
  155. Tue Jul 8 12:29:26 2025 heaviest cycle: 28 relations
  156. Tue Jul 8 12:29:36 2025 RelProcTime: 5353
  157. Tue Jul 8 12:29:38 2025
  158. Tue Jul 8 12:29:38 2025 commencing linear algebra
  159. Tue Jul 8 12:29:38 2025 using VBITS=512
  160. Tue Jul 8 12:29:39 2025 read 3950542 cycles
  161. Tue Jul 8 12:29:54 2025 cycles contain 12136290 unique relations
  162. Tue Jul 8 12:31:39 2025 read 12136290 relations
  163. Tue Jul 8 12:32:13 2025 using 20 quadratic characters above 4294917295
  164. Tue Jul 8 12:33:33 2025 building initial matrix
  165. Tue Jul 8 12:40:07 2025 memory use: 1504.0 MB
  166. Tue Jul 8 12:40:11 2025 read 3950542 cycles
  167. Tue Jul 8 12:40:12 2025 matrix is 3950365 x 3950542 (1729.2 MB) with weight 493073691 (124.81/col)
  168. Tue Jul 8 12:40:12 2025 sparse part has weight 409853916 (103.75/col)
  169. Tue Jul 8 12:41:35 2025 filtering completed in 2 passes
  170. Tue Jul 8 12:41:36 2025 matrix is 3950246 x 3950390 (1729.2 MB) with weight 493068115 (124.82/col)
  171. Tue Jul 8 12:41:36 2025 sparse part has weight 409851390 (103.75/col)
  172. Tue Jul 8 12:42:03 2025 matrix starts at (0, 0)
  173. Tue Jul 8 12:42:03 2025 matrix is 3950246 x 3950390 (1729.2 MB) with weight 493068115 (124.82/col)
  174. Tue Jul 8 12:42:03 2025 sparse part has weight 409851390 (103.75/col)
  175. Tue Jul 8 12:42:03 2025 saving the first 496 matrix rows for later
  176. Tue Jul 8 12:42:06 2025 matrix includes 512 packed rows
  177. Tue Jul 8 12:42:13 2025 matrix is 3949750 x 3950390 (1623.9 MB) with weight 350735401 (88.79/col)
  178. Tue Jul 8 12:42:13 2025 sparse part has weight 330878059 (83.76/col)
  179. Tue Jul 8 14:48:26 2025
  180. Tue Jul 8 14:48:26 2025
  181. Tue Jul 8 14:48:26 2025 Msieve v. 1.54 (SVN unknown)
  182. Tue Jul 8 14:48:26 2025 random seeds: 8bda9538 41788e5e
  183. Tue Jul 8 14:48:26 2025 factoring 10162884945277917368614190577859814849457927402314791540453098082389688658408467678180136557810369689265120648128751862304074647585473606602824476002767397126562531443373589449636755302234324951365680522319885498381891307 (221 digits)
  184. Tue Jul 8 14:48:27 2025 no P-1/P+1/ECM available, skipping
  185. Tue Jul 8 14:48:27 2025 commencing number field sieve (221-digit input)
  186. Tue Jul 8 14:48:27 2025 R0: 4654104904554660692671641913213035301
  187. Tue Jul 8 14:48:27 2025 R1: -1
  188. Tue Jul 8 14:48:27 2025 A0: 1
  189. Tue Jul 8 14:48:27 2025 A1: 1
  190. Tue Jul 8 14:48:27 2025 A2: 1
  191. Tue Jul 8 14:48:27 2025 A3: 1
  192. Tue Jul 8 14:48:27 2025 A4: 1
  193. Tue Jul 8 14:48:27 2025 A5: 1
  194. Tue Jul 8 14:48:27 2025 A6: 1
  195. Tue Jul 8 14:48:27 2025 skew 1.34, size 6.492e-11, alpha 2.428, combined = 2.475e-12 rroots = 0
  196. Tue Jul 8 14:48:27 2025
  197. Tue Jul 8 14:48:27 2025 commencing linear algebra
  198. Tue Jul 8 14:48:27 2025 using VBITS=512
  199. Tue Jul 8 14:48:27 2025 skipping matrix build
  200. Tue Jul 8 14:48:29 2025 matrix starts at (0, 0)
  201. Tue Jul 8 14:48:29 2025 matrix is 3950246 x 3950390 (1729.2 MB) with weight 493068115 (124.82/col)
  202. Tue Jul 8 14:48:29 2025 sparse part has weight 409851390 (103.75/col)
  203. Tue Jul 8 14:48:29 2025 saving the first 496 matrix rows for later
  204. Tue Jul 8 14:48:31 2025 matrix includes 512 packed rows
  205. Tue Jul 8 14:48:34 2025 matrix is 3949750 x 3950390 (1623.9 MB) with weight 350735401 (88.79/col)
  206. Tue Jul 8 14:48:34 2025 sparse part has weight 330878059 (83.76/col)
  207. Tue Jul 8 14:48:35 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  208. Tue Jul 8 14:48:35 2025 selected card has CUDA arch 8.6
  209. Tue Jul 8 14:49:07 2025 commencing Lanczos iteration
  210. Tue Jul 8 14:49:07 2025 memory use: 4483.5 MB
  211. Tue Jul 8 14:49:21 2025 linear algebra at 0.4%, ETA 0h55m
  212. Tue Jul 8 14:49:22 2025 checkpointing every 4080000 dimensions
  213. Tue Jul 8 15:53:56 2025 lanczos halted after 7727 iterations (dim = 3949750)
  214. Tue Jul 8 15:55:13 2025 recovered 38 nontrivial dependencies
  215. Tue Jul 8 15:55:13 2025 BLanczosTime: 4006
  216. Tue Jul 8 15:55:13 2025
  217. Tue Jul 8 15:55:13 2025 commencing square root phase
  218. Tue Jul 8 15:55:13 2025 handling dependencies 1 to 64
  219. Tue Jul 8 15:55:13 2025 reading relations for dependency 1
  220. Tue Jul 8 15:55:14 2025 read 1974145 cycles
  221. Tue Jul 8 15:55:18 2025 cycles contain 6066140 unique relations
  222. Tue Jul 8 15:56:12 2025 read 6066140 relations
  223. Tue Jul 8 15:56:46 2025 multiplying 6066140 relations
  224. Tue Jul 8 16:00:25 2025 multiply complete, coefficients have about 146.83 million bits
  225. Tue Jul 8 16:00:26 2025 initial square root is modulo 186037
  226. Tue Jul 8 16:04:46 2025 GCD is 1, no factor found
  227. Tue Jul 8 16:04:46 2025 reading relations for dependency 2
  228. Tue Jul 8 16:04:47 2025 read 1974967 cycles
  229. Tue Jul 8 16:04:51 2025 cycles contain 6066218 unique relations
  230. Tue Jul 8 16:05:41 2025 read 6066218 relations
  231. Tue Jul 8 16:06:19 2025 multiplying 6066218 relations
  232. Tue Jul 8 16:09:59 2025 multiply complete, coefficients have about 146.84 million bits
  233. Tue Jul 8 16:10:00 2025 initial square root is modulo 186107
  234. Tue Jul 8 16:14:31 2025 GCD is N, no factor found
  235. Tue Jul 8 16:14:31 2025 reading relations for dependency 3
  236. Tue Jul 8 16:14:32 2025 read 1976517 cycles
  237. Tue Jul 8 16:14:36 2025 cycles contain 6068238 unique relations
  238. Tue Jul 8 16:15:21 2025 read 6068238 relations
  239. Tue Jul 8 16:15:57 2025 multiplying 6068238 relations
  240. Tue Jul 8 16:19:27 2025 multiply complete, coefficients have about 146.89 million bits
  241. Tue Jul 8 16:19:28 2025 initial square root is modulo 186877
  242. Tue Jul 8 16:23:40 2025 sqrtTime: 1707
  243. Tue Jul 8 16:23:40 2025 p58 factor: 2567922992443930160368827945150229333969963486781328700063
  244. Tue Jul 8 16:23:40 2025 p163 factor: 3957628392744655468057287011127027003106935672633128081008801502716343302991618375558518880473016701313918347451387609066475515199518228890639154817401971622183989
  245. Tue Jul 8 16:23:40 2025 elapsed time 01:35:14
  246.  
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