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  1. Tue Oct 28 22:43:54 2025
  2. Tue Oct 28 22:43:54 2025
  3. Tue Oct 28 22:43:54 2025 Msieve v. 1.54 (SVN unknown)
  4. Tue Oct 28 22:43:54 2025 random seeds: 5cff5d0d 1e48a437
  5. Tue Oct 28 22:43:54 2025 factoring 8802139800430450786459128725396234712674972442818390874963400718417628002398355524292038998311172898912821637946947327005554262516294670130340473928138310378806239572285738064557 (178 digits)
  6. Tue Oct 28 22:43:54 2025 no P-1/P+1/ECM available, skipping
  7. Tue Oct 28 22:43:54 2025 commencing number field sieve (178-digit input)
  8. Tue Oct 28 22:43:54 2025 R0: 89240404131660140033860044378619096442
  9. Tue Oct 28 22:43:54 2025 R1: -9446713932985381771
  10. Tue Oct 28 22:43:54 2025 A0: -1
  11. Tue Oct 28 22:43:54 2025 A1: 3
  12. Tue Oct 28 22:43:54 2025 A2: 6
  13. Tue Oct 28 22:43:54 2025 A3: -4
  14. Tue Oct 28 22:43:54 2025 A4: -5
  15. Tue Oct 28 22:43:54 2025 A5: 1
  16. Tue Oct 28 22:43:54 2025 A6: 1
  17. Tue Oct 28 22:43:54 2025 skew 1.37, size 3.234e-11, alpha 3.126, combined = 1.474e-12 rroots = 6
  18. Tue Oct 28 22:43:54 2025
  19. Tue Oct 28 22:43:54 2025 commencing relation filtering
  20. Tue Oct 28 22:43:54 2025 setting target matrix density to 104.0
  21. Tue Oct 28 22:43:54 2025 estimated available RAM is 7902.4 MB
  22. Tue Oct 28 22:43:54 2025 commencing duplicate removal, pass 1
  23. Tue Oct 28 22:55:16 2025 error -15 reading relation 102287612
  24. Tue Oct 28 22:55:18 2025 skipped 6 relations with b > 2^32
  25. Tue Oct 28 22:55:18 2025 skipped 4 relations with composite factors
  26. Tue Oct 28 22:55:18 2025 found 4624254 hash collisions in 102822332 relations
  27. Tue Oct 28 22:55:26 2025 added 2438358 free relations
  28. Tue Oct 28 22:55:26 2025 commencing duplicate removal, pass 2
  29. Tue Oct 28 22:55:53 2025 found 0 duplicates and 105260690 unique relations
  30. Tue Oct 28 22:55:53 2025 memory use: 261.2 MB
  31. Tue Oct 28 22:55:53 2025 reading ideals above 65994752
  32. Tue Oct 28 22:55:53 2025 commencing singleton removal, initial pass
  33. Tue Oct 28 23:05:06 2025 memory use: 2756.0 MB
  34. Tue Oct 28 23:05:06 2025 reading all ideals from disk
  35. Tue Oct 28 23:05:10 2025 memory use: 1906.2 MB
  36. Tue Oct 28 23:05:14 2025 commencing in-memory singleton removal
  37. Tue Oct 28 23:05:18 2025 begin with 105260690 relations and 85274606 unique ideals
  38. Tue Oct 28 23:05:58 2025 reduce to 73201962 relations and 50255017 ideals in 13 passes
  39. Tue Oct 28 23:05:58 2025 max relations containing the same ideal: 44
  40. Tue Oct 28 23:06:01 2025 reading ideals above 720000
  41. Tue Oct 28 23:06:01 2025 commencing singleton removal, initial pass
  42. Tue Oct 28 23:14:03 2025 memory use: 1506.0 MB
  43. Tue Oct 28 23:14:03 2025 reading all ideals from disk
  44. Tue Oct 28 23:14:10 2025 memory use: 2745.0 MB
  45. Tue Oct 28 23:14:17 2025 keeping 57683075 ideals with weight <= 200, target excess is 363092
  46. Tue Oct 28 23:14:24 2025 commencing in-memory singleton removal
  47. Tue Oct 28 23:14:29 2025 begin with 73201964 relations and 57683075 unique ideals
  48. Tue Oct 28 23:14:43 2025 reduce to 73201946 relations and 57683054 ideals in 3 passes
  49. Tue Oct 28 23:14:43 2025 max relations containing the same ideal: 200
  50. Tue Oct 28 23:15:11 2025 removing 8376217 relations and 6376217 ideals in 2000000 cliques
  51. Tue Oct 28 23:15:14 2025 commencing in-memory singleton removal
  52. Tue Oct 28 23:15:18 2025 begin with 64825729 relations and 57683054 unique ideals
  53. Tue Oct 28 23:15:51 2025 reduce to 63966318 relations and 50417658 ideals in 8 passes
  54. Tue Oct 28 23:15:51 2025 max relations containing the same ideal: 193
  55. Tue Oct 28 23:16:12 2025 removing 6810387 relations and 4810387 ideals in 2000000 cliques
  56. Tue Oct 28 23:16:14 2025 commencing in-memory singleton removal
  57. Tue Oct 28 23:16:18 2025 begin with 57155931 relations and 50417658 unique ideals
  58. Tue Oct 28 23:16:43 2025 reduce to 56546008 relations and 44977726 ideals in 8 passes
  59. Tue Oct 28 23:16:43 2025 max relations containing the same ideal: 181
  60. Tue Oct 28 23:17:01 2025 removing 6355033 relations and 4355033 ideals in 2000000 cliques
  61. Tue Oct 28 23:17:04 2025 commencing in-memory singleton removal
  62. Tue Oct 28 23:17:07 2025 begin with 50190975 relations and 44977726 unique ideals
  63. Tue Oct 28 23:17:29 2025 reduce to 49619625 relations and 40032073 ideals in 8 passes
  64. Tue Oct 28 23:17:29 2025 max relations containing the same ideal: 167
  65. Tue Oct 28 23:17:45 2025 removing 6146054 relations and 4146054 ideals in 2000000 cliques
  66. Tue Oct 28 23:17:48 2025 commencing in-memory singleton removal
  67. Tue Oct 28 23:17:50 2025 begin with 43473571 relations and 40032073 unique ideals
  68. Tue Oct 28 23:18:09 2025 reduce to 42892882 relations and 35283520 ideals in 8 passes
  69. Tue Oct 28 23:18:09 2025 max relations containing the same ideal: 150
  70. Tue Oct 28 23:18:24 2025 removing 6040104 relations and 4040104 ideals in 2000000 cliques
  71. Tue Oct 28 23:18:26 2025 commencing in-memory singleton removal
  72. Tue Oct 28 23:18:28 2025 begin with 36852778 relations and 35283520 unique ideals
  73. Tue Oct 28 23:18:42 2025 reduce to 36224834 relations and 30588648 ideals in 7 passes
  74. Tue Oct 28 23:18:42 2025 max relations containing the same ideal: 136
  75. Tue Oct 28 23:18:54 2025 removing 5997718 relations and 3997718 ideals in 2000000 cliques
  76. Tue Oct 28 23:18:56 2025 commencing in-memory singleton removal
  77. Tue Oct 28 23:18:58 2025 begin with 30227116 relations and 30588648 unique ideals
  78. Tue Oct 28 23:19:09 2025 reduce to 29512906 relations and 25841383 ideals in 7 passes
  79. Tue Oct 28 23:19:09 2025 max relations containing the same ideal: 117
  80. Tue Oct 28 23:19:19 2025 removing 5991093 relations and 3991093 ideals in 2000000 cliques
  81. Tue Oct 28 23:19:21 2025 commencing in-memory singleton removal
  82. Tue Oct 28 23:19:22 2025 begin with 23521813 relations and 25841383 unique ideals
  83. Tue Oct 28 23:19:33 2025 reduce to 22669298 relations and 20946065 ideals in 9 passes
  84. Tue Oct 28 23:19:33 2025 max relations containing the same ideal: 104
  85. Tue Oct 28 23:19:41 2025 removing 4242961 relations and 2940915 ideals in 1302046 cliques
  86. Tue Oct 28 23:19:43 2025 commencing in-memory singleton removal
  87. Tue Oct 28 23:19:44 2025 begin with 18426337 relations and 20946065 unique ideals
  88. Tue Oct 28 23:19:51 2025 reduce to 17848442 relations and 17396020 ideals in 8 passes
  89. Tue Oct 28 23:19:51 2025 max relations containing the same ideal: 90
  90. Tue Oct 28 23:19:58 2025 removing 201342 relations and 170107 ideals in 31235 cliques
  91. Tue Oct 28 23:19:58 2025 commencing in-memory singleton removal
  92. Tue Oct 28 23:19:59 2025 begin with 17647100 relations and 17396020 unique ideals
  93. Tue Oct 28 23:20:04 2025 reduce to 17645348 relations and 17224159 ideals in 5 passes
  94. Tue Oct 28 23:20:04 2025 max relations containing the same ideal: 89
  95. Tue Oct 28 23:20:07 2025 relations with 0 large ideals: 26522
  96. Tue Oct 28 23:20:07 2025 relations with 1 large ideals: 7326
  97. Tue Oct 28 23:20:07 2025 relations with 2 large ideals: 53347
  98. Tue Oct 28 23:20:07 2025 relations with 3 large ideals: 373449
  99. Tue Oct 28 23:20:07 2025 relations with 4 large ideals: 1433862
  100. Tue Oct 28 23:20:07 2025 relations with 5 large ideals: 3264071
  101. Tue Oct 28 23:20:07 2025 relations with 6 large ideals: 4612574
  102. Tue Oct 28 23:20:07 2025 relations with 7+ large ideals: 7874197
  103. Tue Oct 28 23:20:07 2025 commencing 2-way merge
  104. Tue Oct 28 23:20:15 2025 reduce to 11635331 relation sets and 11214142 unique ideals
  105. Tue Oct 28 23:20:15 2025 commencing full merge
  106. Tue Oct 28 23:24:02 2025 memory use: 1592.0 MB
  107. Tue Oct 28 23:24:03 2025 found 5493052 cycles, need 5468342
  108. Tue Oct 28 23:24:05 2025 weight of 5468342 cycles is about 569009432 (104.06/cycle)
  109. Tue Oct 28 23:24:05 2025 distribution of cycle lengths:
  110. Tue Oct 28 23:24:05 2025 1 relations: 297425
  111. Tue Oct 28 23:24:05 2025 2 relations: 385974
  112. Tue Oct 28 23:24:05 2025 3 relations: 436304
  113. Tue Oct 28 23:24:05 2025 4 relations: 440872
  114. Tue Oct 28 23:24:05 2025 5 relations: 441432
  115. Tue Oct 28 23:24:05 2025 6 relations: 429781
  116. Tue Oct 28 23:24:05 2025 7 relations: 409458
  117. Tue Oct 28 23:24:05 2025 8 relations: 381932
  118. Tue Oct 28 23:24:05 2025 9 relations: 348787
  119. Tue Oct 28 23:24:05 2025 10+ relations: 1896377
  120. Tue Oct 28 23:24:05 2025 heaviest cycle: 28 relations
  121. Tue Oct 28 23:24:06 2025 commencing cycle optimization
  122. Tue Oct 28 23:24:15 2025 start with 44781672 relations
  123. Tue Oct 28 23:25:33 2025 pruned 1955839 relations
  124. Tue Oct 28 23:25:33 2025 memory use: 1195.7 MB
  125. Tue Oct 28 23:25:33 2025 distribution of cycle lengths:
  126. Tue Oct 28 23:25:33 2025 1 relations: 297425
  127. Tue Oct 28 23:25:33 2025 2 relations: 394087
  128. Tue Oct 28 23:25:33 2025 3 relations: 452823
  129. Tue Oct 28 23:25:33 2025 4 relations: 457773
  130. Tue Oct 28 23:25:33 2025 5 relations: 461927
  131. Tue Oct 28 23:25:33 2025 6 relations: 449170
  132. Tue Oct 28 23:25:33 2025 7 relations: 430197
  133. Tue Oct 28 23:25:33 2025 8 relations: 398396
  134. Tue Oct 28 23:25:33 2025 9 relations: 362469
  135. Tue Oct 28 23:25:33 2025 10+ relations: 1764075
  136. Tue Oct 28 23:25:33 2025 heaviest cycle: 28 relations
  137. Tue Oct 28 23:25:43 2025 RelProcTime: 2509
  138. Tue Oct 28 23:25:43 2025 elapsed time 00:41:49
  139. Tue Oct 28 23:47:54 2025
  140. Tue Oct 28 23:47:54 2025
  141. Tue Oct 28 23:47:54 2025 Msieve v. 1.54 (SVN unknown)
  142. Tue Oct 28 23:47:54 2025 random seeds: 58c8bdc0 bcde8932
  143. Tue Oct 28 23:47:54 2025 factoring 8802139800430450786459128725396234712674972442818390874963400718417628002398355524292038998311172898912821637946947327005554262516294670130340473928138310378806239572285738064557 (178 digits)
  144. Tue Oct 28 23:47:55 2025 no P-1/P+1/ECM available, skipping
  145. Tue Oct 28 23:47:55 2025 commencing number field sieve (178-digit input)
  146. Tue Oct 28 23:47:55 2025 R0: 89240404131660140033860044378619096442
  147. Tue Oct 28 23:47:55 2025 R1: -9446713932985381771
  148. Tue Oct 28 23:47:55 2025 A0: -1
  149. Tue Oct 28 23:47:55 2025 A1: 3
  150. Tue Oct 28 23:47:55 2025 A2: 6
  151. Tue Oct 28 23:47:55 2025 A3: -4
  152. Tue Oct 28 23:47:55 2025 A4: -5
  153. Tue Oct 28 23:47:55 2025 A5: 1
  154. Tue Oct 28 23:47:55 2025 A6: 1
  155. Tue Oct 28 23:47:55 2025 skew 1.37, size 3.234e-11, alpha 3.126, combined = 1.474e-12 rroots = 6
  156. Tue Oct 28 23:47:55 2025
  157. Tue Oct 28 23:47:55 2025 commencing linear algebra
  158. Tue Oct 28 23:47:55 2025 using VBITS=512
  159. Tue Oct 28 23:47:55 2025 read 5468342 cycles
  160. Tue Oct 28 23:48:04 2025 cycles contain 17417188 unique relations
  161. Tue Oct 28 23:49:30 2025 read 17417188 relations
  162. Tue Oct 28 23:49:50 2025 using 20 quadratic characters above 4294917295
  163. Tue Oct 28 23:50:59 2025 building initial matrix
  164. Tue Oct 28 23:53:46 2025 memory use: 2153.1 MB
  165. Tue Oct 28 23:53:48 2025 read 5468342 cycles
  166. Tue Oct 28 23:53:49 2025 matrix is 5468165 x 5468342 (2248.1 MB) with weight 638421514 (116.75/col)
  167. Tue Oct 28 23:53:49 2025 sparse part has weight 534641950 (97.77/col)
  168. Tue Oct 28 23:54:40 2025 filtering completed in 2 passes
  169. Tue Oct 28 23:54:41 2025 matrix is 5467955 x 5468096 (2248.1 MB) with weight 638413510 (116.75/col)
  170. Tue Oct 28 23:54:41 2025 sparse part has weight 534638551 (97.77/col)
  171. Tue Oct 28 23:54:54 2025 matrix starts at (0, 0)
  172. Tue Oct 28 23:54:55 2025 matrix is 5467955 x 5468096 (2248.1 MB) with weight 638413510 (116.75/col)
  173. Tue Oct 28 23:54:55 2025 sparse part has weight 534638551 (97.77/col)
  174. Tue Oct 28 23:54:55 2025 saving the first 496 matrix rows for later
  175. Tue Oct 28 23:54:56 2025 matrix includes 512 packed rows
  176. Tue Oct 28 23:55:00 2025 matrix is 5467459 x 5468096 (2150.8 MB) with weight 457873266 (83.74/col)
  177. Tue Oct 28 23:55:00 2025 sparse part has weight 432591808 (79.11/col)
  178. Tue Oct 28 23:55:00 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  179. Tue Oct 28 23:55:00 2025 selected card has CUDA arch 8.6
  180. Tue Oct 28 23:55:52 2025 commencing Lanczos iteration
  181. Tue Oct 28 23:55:52 2025 memory use: 6074.7 MB
  182. Tue Oct 28 23:56:12 2025 linear algebra at 0.3%, ETA 1h52m
  183. Tue Oct 28 23:56:12 2025 checkpointing every 3010000 dimensions
  184. Wed Oct 29 01:55:54 2025 lanczos halted after 10696 iterations (dim = 5467456)
  185. Wed Oct 29 01:56:58 2025 recovered 33 nontrivial dependencies
  186. Wed Oct 29 01:56:58 2025 BLanczosTime: 7743
  187. Wed Oct 29 01:56:58 2025 elapsed time 02:09:04
  188. Wed Oct 29 03:23:07 2025
  189. Wed Oct 29 03:23:07 2025
  190. Wed Oct 29 03:23:07 2025 Msieve v. 1.54 (SVN unknown)
  191. Wed Oct 29 03:23:07 2025 random seeds: e8e7d4ba 46f6cb37
  192. Wed Oct 29 03:23:07 2025 factoring 8802139800430450786459128725396234712674972442818390874963400718417628002398355524292038998311172898912821637946947327005554262516294670130340473928138310378806239572285738064557 (178 digits)
  193. Wed Oct 29 03:23:07 2025 no P-1/P+1/ECM available, skipping
  194. Wed Oct 29 03:23:07 2025 commencing number field sieve (178-digit input)
  195. Wed Oct 29 03:23:07 2025 R0: 89240404131660140033860044378619096442
  196. Wed Oct 29 03:23:07 2025 R1: -9446713932985381771
  197. Wed Oct 29 03:23:07 2025 A0: -1
  198. Wed Oct 29 03:23:07 2025 A1: 3
  199. Wed Oct 29 03:23:07 2025 A2: 6
  200. Wed Oct 29 03:23:07 2025 A3: -4
  201. Wed Oct 29 03:23:07 2025 A4: -5
  202. Wed Oct 29 03:23:07 2025 A5: 1
  203. Wed Oct 29 03:23:07 2025 A6: 1
  204. Wed Oct 29 03:23:07 2025 skew 1.37, size 3.234e-11, alpha 3.126, combined = 1.474e-12 rroots = 6
  205. Wed Oct 29 03:23:07 2025
  206. Wed Oct 29 03:23:07 2025 commencing square root phase
  207. Wed Oct 29 03:23:07 2025 reading relations for dependency 1
  208. Wed Oct 29 03:23:08 2025 read 2735190 cycles
  209. Wed Oct 29 03:23:12 2025 cycles contain 8710596 unique relations
  210. Wed Oct 29 03:23:57 2025 read 8710596 relations
  211. Wed Oct 29 03:24:27 2025 multiplying 8710596 relations
  212. Wed Oct 29 03:28:30 2025 multiply complete, coefficients have about 211.22 million bits
  213. Wed Oct 29 03:28:31 2025 initial square root is modulo 38022983
  214. Wed Oct 29 03:33:02 2025 GCD is 1, no factor found
  215. Wed Oct 29 03:33:02 2025 reading relations for dependency 2
  216. Wed Oct 29 03:33:02 2025 read 2735207 cycles
  217. Wed Oct 29 03:33:06 2025 cycles contain 8712658 unique relations
  218. Wed Oct 29 03:33:50 2025 read 8712658 relations
  219. Wed Oct 29 03:34:17 2025 multiplying 8712658 relations
  220. Wed Oct 29 03:38:19 2025 multiply complete, coefficients have about 211.27 million bits
  221. Wed Oct 29 03:38:20 2025 initial square root is modulo 38178233
  222. Wed Oct 29 03:42:50 2025 GCD is N, no factor found
  223. Wed Oct 29 03:42:50 2025 reading relations for dependency 3
  224. Wed Oct 29 03:42:50 2025 read 2733088 cycles
  225. Wed Oct 29 03:42:54 2025 cycles contain 8707314 unique relations
  226. Wed Oct 29 03:43:38 2025 read 8707314 relations
  227. Wed Oct 29 03:44:05 2025 multiplying 8707314 relations
  228. Wed Oct 29 03:48:06 2025 multiply complete, coefficients have about 211.13 million bits
  229. Wed Oct 29 03:48:07 2025 initial square root is modulo 37746811
  230. Wed Oct 29 03:52:37 2025 GCD is 1, no factor found
  231. Wed Oct 29 03:52:37 2025 reading relations for dependency 4
  232. Wed Oct 29 03:52:38 2025 read 2734492 cycles
  233. Wed Oct 29 03:52:41 2025 cycles contain 8707394 unique relations
  234. Wed Oct 29 03:53:25 2025 read 8707394 relations
  235. Wed Oct 29 03:53:51 2025 multiplying 8707394 relations
  236. Wed Oct 29 03:57:52 2025 multiply complete, coefficients have about 211.14 million bits
  237. Wed Oct 29 03:57:53 2025 initial square root is modulo 37780247
  238. Wed Oct 29 04:02:22 2025 GCD is N, no factor found
  239. Wed Oct 29 04:02:22 2025 reading relations for dependency 5
  240. Wed Oct 29 04:02:22 2025 read 2734747 cycles
  241. Wed Oct 29 04:02:26 2025 cycles contain 8707614 unique relations
  242. Wed Oct 29 04:03:10 2025 read 8707614 relations
  243. Wed Oct 29 04:03:37 2025 multiplying 8707614 relations
  244. Wed Oct 29 04:07:37 2025 multiply complete, coefficients have about 211.15 million bits
  245. Wed Oct 29 04:07:38 2025 initial square root is modulo 37795609
  246. Wed Oct 29 04:12:07 2025 GCD is 1, no factor found
  247. Wed Oct 29 04:12:07 2025 reading relations for dependency 6
  248. Wed Oct 29 04:12:08 2025 read 2733444 cycles
  249. Wed Oct 29 04:12:12 2025 cycles contain 8704382 unique relations
  250. Wed Oct 29 04:12:56 2025 read 8704382 relations
  251. Wed Oct 29 04:13:23 2025 multiplying 8704382 relations
  252. Wed Oct 29 04:17:23 2025 multiply complete, coefficients have about 211.06 million bits
  253. Wed Oct 29 04:17:24 2025 initial square root is modulo 37543279
  254. Wed Oct 29 04:21:53 2025 GCD is N, no factor found
  255. Wed Oct 29 04:21:53 2025 reading relations for dependency 7
  256. Wed Oct 29 04:21:53 2025 read 2733848 cycles
  257. Wed Oct 29 04:21:57 2025 cycles contain 8705162 unique relations
  258. Wed Oct 29 04:22:41 2025 read 8705162 relations
  259. Wed Oct 29 04:23:08 2025 multiplying 8705162 relations
  260. Wed Oct 29 04:27:08 2025 multiply complete, coefficients have about 211.09 million bits
  261. Wed Oct 29 04:27:09 2025 initial square root is modulo 37620659
  262. Wed Oct 29 04:31:38 2025 sqrtTime: 4111
  263. Wed Oct 29 04:31:38 2025 p63 factor: 625034846953008633994602335859462183576313554408536281425136927
  264. Wed Oct 29 04:31:38 2025 p116 factor: 14082638501421366681978173034906893711181547794465616399908021903590380823419792009412739816746954751534574938624691
  265. Wed Oct 29 04:31:38 2025 elapsed time 01:08:31
  266.  
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