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C199_3432_1218

gchilders
Sep 9th, 2026
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  1. Mon Sep 7 08:43:26 2026
  2. Mon Sep 7 08:43:26 2026
  3. Mon Sep 7 08:43:26 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Sep 7 08:43:26 2026 random seeds: 8c9595f8 5960c9be
  5. Mon Sep 7 08:43:26 2026 MPI process 0 of 1
  6. Mon Sep 7 08:43:26 2026 Using 46 OpenMP threads
  7. Mon Sep 7 08:43:26 2026 factoring 2072950372021778857765791785249033097541363320477207755291692886523431829139569855345638915703505324722132854058311233284947338225482694046792341377494558617828038830665978443330414292426469186988637 (199 digits)
  8. Mon Sep 7 08:43:27 2026 no P-1/P+1/ECM available, skipping
  9. Mon Sep 7 08:43:27 2026 commencing number field sieve (199-digit input)
  10. Mon Sep 7 08:43:27 2026 R0: -251944546998788499694554792654244133169
  11. Mon Sep 7 08:43:27 2026 R1: 526152476019578674793297
  12. Mon Sep 7 08:43:27 2026 A0: -3893966136253925354364158736841794088389770100
  13. Mon Sep 7 08:43:27 2026 A1: 804304872740514208235814117607420348252
  14. Mon Sep 7 08:43:27 2026 A2: 28854346822556794492201046955885
  15. Mon Sep 7 08:43:27 2026 A3: -331165105307107104427195
  16. Mon Sep 7 08:43:27 2026 A4: -2099108690225148
  17. Mon Sep 7 08:43:27 2026 A5: 12252240
  18. Mon Sep 7 08:43:27 2026 skew 73144511.28, size 2.398e-19, alpha -7.498, combined = 7.303e-15 rroots = 5
  19. Mon Sep 7 08:43:27 2026
  20. Mon Sep 7 08:43:27 2026 commencing relation filtering
  21. Mon Sep 7 08:43:27 2026 setting target matrix density to 110.0
  22. Mon Sep 7 08:43:27 2026 estimated available RAM is 192068.7 MB
  23. Mon Sep 7 08:43:27 2026 commencing duplicate removal, pass 1
  24. Mon Sep 7 08:55:49 2026 found 228422757 hash collisions in 1053024690 relations
  25. Mon Sep 7 08:56:20 2026 added 121326 free relations
  26. Mon Sep 7 08:56:20 2026 commencing duplicate removal, pass 2
  27. Mon Sep 7 09:05:03 2026 found 241195369 duplicates and 811950647 unique relations
  28. Mon Sep 7 09:05:03 2026 memory use: 11000.0 MB
  29. Mon Sep 7 09:05:04 2026 reading ideals above 447414272
  30. Mon Sep 7 09:05:04 2026 commencing singleton removal, initial pass
  31. Mon Sep 7 09:21:58 2026 LP64 contains 811950647 relations and 814746507 unique large ideals
  32. Mon Sep 7 09:21:58 2026 memory use: 23752.0 MB
  33. Mon Sep 7 09:21:59 2026 preparing 64-bit LP file for common filtering
  34. Mon Sep 7 09:21:59 2026 start with 811950647 relations and 814746507 ideals
  35. Mon Sep 7 09:23:18 2026 compacted LP dataset has 811950647 relations and 814746507 large ideals
  36. Mon Sep 7 09:23:18 2026 reading all ideals from disk
  37. Mon Sep 7 09:23:29 2026 memory use: 21638.3 MB
  38. Mon Sep 7 09:23:39 2026 commencing in-memory singleton removal
  39. Mon Sep 7 09:23:43 2026 begin with 811950647 relations and 814746507 unique ideals
  40. Mon Sep 7 09:24:12 2026 reduce to 360619858 relations and 297924843 ideals in 23 passes
  41. Mon Sep 7 09:24:12 2026 max relations containing the same ideal: 29
  42. Mon Sep 7 09:24:28 2026 reading ideals above 720000
  43. Mon Sep 7 09:24:29 2026 commencing singleton removal, initial pass
  44. Mon Sep 7 09:37:39 2026 LP64 contains 360619858 relations and 345247273 unique large ideals
  45. Mon Sep 7 09:37:39 2026 memory use: 10696.0 MB
  46. Mon Sep 7 09:37:41 2026 preparing 64-bit LP file for common filtering
  47. Mon Sep 7 09:37:41 2026 start with 360619858 relations and 345247273 ideals
  48. Mon Sep 7 09:38:48 2026 compacted LP dataset has 360619858 relations and 345247273 large ideals
  49. Mon Sep 7 09:38:48 2026 reading all ideals from disk
  50. Mon Sep 7 09:39:00 2026 memory use: 18615.2 MB
  51. Mon Sep 7 09:39:09 2026 keeping 343510552 ideals with weight <= 200, target excess is 1852478
  52. Mon Sep 7 09:40:04 2026 commencing in-memory singleton removal
  53. Mon Sep 7 09:40:08 2026 begin with 360619858 relations and 343510552 unique ideals
  54. Mon Sep 7 09:40:31 2026 reduce to 360483565 relations and 343374242 ideals in 16 passes
  55. Mon Sep 7 09:40:31 2026 max relations containing the same ideal: 200
  56. Mon Sep 7 09:42:47 2026 removing 24724084 relations and 22724084 ideals in 2000000 cliques
  57. Mon Sep 7 09:42:52 2026 commencing in-memory singleton removal
  58. Mon Sep 7 09:42:56 2026 begin with 335759481 relations and 343374242 unique ideals
  59. Mon Sep 7 09:43:23 2026 reduce to 334122057 relations and 318997930 ideals in 13 passes
  60. Mon Sep 7 09:43:23 2026 max relations containing the same ideal: 198
  61. Mon Sep 7 09:45:35 2026 removing 18172712 relations and 16172712 ideals in 2000000 cliques
  62. Mon Sep 7 09:45:40 2026 commencing in-memory singleton removal
  63. Mon Sep 7 09:45:44 2026 begin with 315949345 relations and 318997930 unique ideals
  64. Mon Sep 7 09:46:05 2026 reduce to 314976516 relations and 301845133 ideals in 11 passes
  65. Mon Sep 7 09:46:05 2026 max relations containing the same ideal: 193
  66. Mon Sep 7 09:48:05 2026 removing 16119848 relations and 14119848 ideals in 2000000 cliques
  67. Mon Sep 7 09:48:10 2026 commencing in-memory singleton removal
  68. Mon Sep 7 09:48:14 2026 begin with 298856668 relations and 301845133 unique ideals
  69. Mon Sep 7 09:48:31 2026 reduce to 298040298 relations and 286903172 ideals in 10 passes
  70. Mon Sep 7 09:48:31 2026 max relations containing the same ideal: 187
  71. Mon Sep 7 09:50:37 2026 removing 15026921 relations and 13026921 ideals in 2000000 cliques
  72. Mon Sep 7 09:50:41 2026 commencing in-memory singleton removal
  73. Mon Sep 7 09:50:45 2026 begin with 283013377 relations and 286903172 unique ideals
  74. Mon Sep 7 09:51:01 2026 reduce to 282264394 relations and 273121830 ideals in 10 passes
  75. Mon Sep 7 09:51:01 2026 max relations containing the same ideal: 180
  76. Mon Sep 7 09:52:55 2026 removing 14334544 relations and 12334544 ideals in 2000000 cliques
  77. Mon Sep 7 09:52:59 2026 commencing in-memory singleton removal
  78. Mon Sep 7 09:53:03 2026 begin with 267929850 relations and 273121830 unique ideals
  79. Mon Sep 7 09:53:19 2026 reduce to 267212108 relations and 260064289 ideals in 11 passes
  80. Mon Sep 7 09:53:19 2026 max relations containing the same ideal: 175
  81. Mon Sep 7 09:54:57 2026 removing 13877771 relations and 11877771 ideals in 2000000 cliques
  82. Mon Sep 7 09:55:01 2026 commencing in-memory singleton removal
  83. Mon Sep 7 09:55:05 2026 begin with 253334337 relations and 260064289 unique ideals
  84. Mon Sep 7 09:55:19 2026 reduce to 252620900 relations and 247467811 ideals in 10 passes
  85. Mon Sep 7 09:55:19 2026 max relations containing the same ideal: 169
  86. Mon Sep 7 09:57:02 2026 removing 13574397 relations and 11574397 ideals in 2000000 cliques
  87. Mon Sep 7 09:57:06 2026 commencing in-memory singleton removal
  88. Mon Sep 7 09:57:09 2026 begin with 239046503 relations and 247467811 unique ideals
  89. Mon Sep 7 09:57:22 2026 reduce to 238321004 relations and 235162336 ideals in 10 passes
  90. Mon Sep 7 09:57:22 2026 max relations containing the same ideal: 166
  91. Mon Sep 7 09:58:59 2026 removing 7693403 relations and 6683610 ideals in 1009793 cliques
  92. Mon Sep 7 09:59:02 2026 commencing in-memory singleton removal
  93. Mon Sep 7 09:59:06 2026 begin with 230627601 relations and 235162336 unique ideals
  94. Mon Sep 7 09:59:17 2026 reduce to 230393218 relations and 228243343 ideals in 9 passes
  95. Mon Sep 7 09:59:17 2026 max relations containing the same ideal: 162
  96. Mon Sep 7 10:00:43 2026 relations with 0 large ideals: 6820
  97. Mon Sep 7 10:00:43 2026 relations with 1 large ideals: 12411
  98. Mon Sep 7 10:00:43 2026 relations with 2 large ideals: 236282
  99. Mon Sep 7 10:00:43 2026 relations with 3 large ideals: 2080761
  100. Mon Sep 7 10:00:43 2026 relations with 4 large ideals: 10145720
  101. Mon Sep 7 10:00:43 2026 relations with 5 large ideals: 29940158
  102. Mon Sep 7 10:00:43 2026 relations with 6 large ideals: 55166572
  103. Mon Sep 7 10:00:43 2026 relations with 7+ large ideals: 132804494
  104. Mon Sep 7 10:00:43 2026 commencing 2-way merge
  105. Mon Sep 7 10:02:45 2026 reduce to 134163942 relation sets and 132014067 unique ideals
  106. Mon Sep 7 10:02:45 2026 commencing full merge
  107. Mon Sep 7 10:43:14 2026 memory use: 14868.1 MB
  108. Mon Sep 7 10:43:16 2026 found 60777158 cycles, need 60696267
  109. Mon Sep 7 10:43:30 2026 weight of 60696267 cycles is about 6676890586 (110.00/cycle)
  110. Mon Sep 7 10:43:30 2026 distribution of cycle lengths:
  111. Mon Sep 7 10:43:30 2026 1 relations: 6318160
  112. Mon Sep 7 10:43:30 2026 2 relations: 5707010
  113. Mon Sep 7 10:43:30 2026 3 relations: 5593788
  114. Mon Sep 7 10:43:30 2026 4 relations: 5236042
  115. Mon Sep 7 10:43:30 2026 5 relations: 4742151
  116. Mon Sep 7 10:43:30 2026 6 relations: 4371946
  117. Mon Sep 7 10:43:30 2026 7 relations: 3860145
  118. Mon Sep 7 10:43:30 2026 8 relations: 3448372
  119. Mon Sep 7 10:43:30 2026 9 relations: 3124243
  120. Mon Sep 7 10:43:30 2026 10+ relations: 18294410
  121. Mon Sep 7 10:43:30 2026 heaviest cycle: 28 relations
  122. Mon Sep 7 10:43:34 2026 commencing cycle optimization
  123. Mon Sep 7 10:45:09 2026 start with 451178259 relations
  124. Mon Sep 7 10:58:01 2026 pruned 11456939 relations
  125. Mon Sep 7 10:58:01 2026 memory use: 14705.0 MB
  126. Mon Sep 7 10:58:02 2026 distribution of cycle lengths:
  127. Mon Sep 7 10:58:02 2026 1 relations: 6318160
  128. Mon Sep 7 10:58:02 2026 2 relations: 5845123
  129. Mon Sep 7 10:58:02 2026 3 relations: 5791189
  130. Mon Sep 7 10:58:02 2026 4 relations: 5363273
  131. Mon Sep 7 10:58:02 2026 5 relations: 4865230
  132. Mon Sep 7 10:58:02 2026 6 relations: 4438845
  133. Mon Sep 7 10:58:02 2026 7 relations: 3918214
  134. Mon Sep 7 10:58:02 2026 8 relations: 3481477
  135. Mon Sep 7 10:58:02 2026 9 relations: 3138231
  136. Mon Sep 7 10:58:02 2026 10+ relations: 17536525
  137. Mon Sep 7 10:58:02 2026 heaviest cycle: 28 relations
  138. Mon Sep 7 10:58:25 2026 RelProcTime: 8098
  139. Mon Sep 7 10:58:25 2026 elapsed time 02:14:59
  140. Mon Sep 7 10:58:25 2026
  141. Mon Sep 7 10:58:25 2026
  142. Mon Sep 7 10:58:25 2026 Msieve v. 1.54 (SVN Unversioned directory)
  143. Mon Sep 7 10:58:25 2026 random seeds: 2e3a9a63 b4852ace
  144. Mon Sep 7 10:58:25 2026 MPI process 0 of 1
  145. Mon Sep 7 10:58:25 2026 Using 46 OpenMP threads
  146. Mon Sep 7 10:58:25 2026 factoring 2072950372021778857765791785249033097541363320477207755291692886523431829139569855345638915703505324722132854058311233284947338225482694046792341377494558617828038830665978443330414292426469186988637 (199 digits)
  147. Mon Sep 7 10:58:26 2026 no P-1/P+1/ECM available, skipping
  148. Mon Sep 7 10:58:26 2026 commencing number field sieve (199-digit input)
  149. Mon Sep 7 10:58:26 2026 R0: -251944546998788499694554792654244133169
  150. Mon Sep 7 10:58:26 2026 R1: 526152476019578674793297
  151. Mon Sep 7 10:58:26 2026 A0: -3893966136253925354364158736841794088389770100
  152. Mon Sep 7 10:58:26 2026 A1: 804304872740514208235814117607420348252
  153. Mon Sep 7 10:58:26 2026 A2: 28854346822556794492201046955885
  154. Mon Sep 7 10:58:26 2026 A3: -331165105307107104427195
  155. Mon Sep 7 10:58:26 2026 A4: -2099108690225148
  156. Mon Sep 7 10:58:26 2026 A5: 12252240
  157. Mon Sep 7 10:58:26 2026 skew 73144511.28, size 2.398e-19, alpha -7.498, combined = 7.303e-15 rroots = 5
  158. Mon Sep 7 10:58:26 2026
  159. Mon Sep 7 10:58:26 2026 commencing linear algebra
  160. Mon Sep 7 10:58:26 2026 using VBITS=128
  161. Mon Sep 7 10:58:26 2026 stopping after matrix build
  162. Mon Sep 7 10:58:26 2026 initialized process (0,0) of 1 x 1 grid
  163. Mon Sep 7 10:58:34 2026 read 60696267 cycles
  164. Mon Sep 7 11:00:53 2026 cycles contain 228246865 unique relations
  165. Mon Sep 7 11:03:18 2026 read 228246865 relations
  166. Mon Sep 7 11:03:39 2026 using 20 quadratic characters above 4294917295
  167. Mon Sep 7 11:04:09 2026 building initial matrix
  168. Mon Sep 7 11:50:40 2026 memory use: 31835.1 MB
  169. Mon Sep 7 11:51:48 2026 read 60696267 cycles
  170. Mon Sep 7 11:51:58 2026 matrix is 60696089 x 60696267 (27112.8 MB) with weight 8225478176 (135.52/col)
  171. Mon Sep 7 11:51:58 2026 sparse part has weight 6379115244 (105.10/col)
  172. Mon Sep 7 12:09:46 2026 filtering completed in 2 passes
  173. Mon Sep 7 12:09:59 2026 matrix is 60685479 x 60685656 (27112.0 MB) with weight 8225027925 (135.53/col)
  174. Mon Sep 7 12:09:59 2026 sparse part has weight 6379017548 (105.12/col)
  175. Mon Sep 7 12:12:45 2026 BLanczosTime: 4459
  176. Mon Sep 7 12:12:45 2026 elapsed time 01:14:20
  177. Mon Sep 7 13:11:27 2026
  178. Mon Sep 7 13:11:27 2026
  179. Mon Sep 7 13:11:27 2026 Msieve v. 1.54 (SVN Unversioned directory)
  180. Mon Sep 7 13:11:27 2026 random seeds: a52e372f 56541226
  181. Mon Sep 7 13:11:27 2026 MPI process 0 of 2
  182. Mon Sep 7 13:11:27 2026 Using 6 OpenMP threads
  183. Mon Sep 7 13:11:27 2026 factoring 2072950372021778857765791785249033097541363320477207755291692886523431829139569855345638915703505324722132854058311233284947338225482694046792341377494558617828038830665978443330414292426469186988637 (199 digits)
  184. Mon Sep 7 13:11:27 2026 no P-1/P+1/ECM available, skipping
  185. Mon Sep 7 13:11:27 2026 commencing number field sieve (199-digit input)
  186. Mon Sep 7 13:11:27 2026 R0: -251944546998788499694554792654244133169
  187. Mon Sep 7 13:11:27 2026 R1: 526152476019578674793297
  188. Mon Sep 7 13:11:27 2026 A0: -3893966136253925354364158736841794088389770100
  189. Mon Sep 7 13:11:27 2026 A1: 804304872740514208235814117607420348252
  190. Mon Sep 7 13:11:27 2026 A2: 28854346822556794492201046955885
  191. Mon Sep 7 13:11:27 2026 A3: -331165105307107104427195
  192. Mon Sep 7 13:11:27 2026 A4: -2099108690225148
  193. Mon Sep 7 13:11:27 2026 A5: 12252240
  194. Mon Sep 7 13:11:27 2026 skew 73144511.28, size 2.398e-19, alpha -7.498, combined = 7.303e-15 rroots = 5
  195. Mon Sep 7 13:11:27 2026
  196. Mon Sep 7 13:11:27 2026 commencing linear algebra
  197. Mon Sep 7 13:11:27 2026 using VBITS=256
  198. Mon Sep 7 13:11:27 2026 skipping matrix build
  199. Mon Sep 7 13:11:27 2026 initialized process (0,0) of 1 x 2 grid
  200. Mon Sep 7 13:11:45 2026 matrix starts at (0, 0)
  201. Mon Sep 7 13:11:51 2026 matrix is 60685479 x 30342751 (13556.0 MB) with weight 4112536947 (135.54/col)
  202. Mon Sep 7 13:11:51 2026 sparse part has weight 3189508900 (105.12/col)
  203. Mon Sep 7 13:11:51 2026 saving the first 240 matrix rows for later
  204. Mon Sep 7 13:11:59 2026 matrix includes 256 packed rows
  205. Mon Sep 7 13:12:06 2026 matrix is 60685239 x 30342751 (12406.6 MB) with weight 2937414607 (96.81/col)
  206. Mon Sep 7 13:12:06 2026 sparse part has weight 2766825876 (91.19/col)
  207. Mon Sep 7 13:12:06 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  208. Mon Sep 7 13:12:06 2026 selected card has CUDA arch 8.0
  209. Mon Sep 7 13:15:45 2026 commencing Lanczos iteration
  210. Mon Sep 7 13:15:48 2026 memory use: 31989.5 MB
  211. Mon Sep 7 13:16:50 2026 linear algebra at 0.1%, ETA 33h 0m
  212. Mon Sep 7 13:18:21 2026 checking every 30000 dimensions, checkpointing every 1860000 dimensions
  213. Tue Sep 8 22:40:34 2026 lanczos halted after 237765 iterations (dim = 60685239)
  214. Tue Sep 8 22:43:51 2026 recovered 33 nontrivial dependencies
  215. Tue Sep 8 22:43:52 2026 BLanczosTime: 120745
  216. Tue Sep 8 22:43:52 2026 elapsed time 33:32:25
  217. Tue Sep 8 22:43:53 2026
  218. Tue Sep 8 22:43:53 2026
  219. Tue Sep 8 22:43:53 2026 Msieve v. 1.54 (SVN Unversioned directory)
  220. Tue Sep 8 22:43:53 2026 random seeds: 32c7b68b 2ccf25fd
  221. Tue Sep 8 22:43:53 2026 MPI process 0 of 1
  222. Tue Sep 8 22:43:53 2026 Using 32 OpenMP threads
  223. Tue Sep 8 22:43:53 2026 factoring 2072950372021778857765791785249033097541363320477207755291692886523431829139569855345638915703505324722132854058311233284947338225482694046792341377494558617828038830665978443330414292426469186988637 (199 digits)
  224. Tue Sep 8 22:43:54 2026 no P-1/P+1/ECM available, skipping
  225. Tue Sep 8 22:43:54 2026 commencing number field sieve (199-digit input)
  226. Tue Sep 8 22:43:54 2026 R0: -251944546998788499694554792654244133169
  227. Tue Sep 8 22:43:54 2026 R1: 526152476019578674793297
  228. Tue Sep 8 22:43:54 2026 A0: -3893966136253925354364158736841794088389770100
  229. Tue Sep 8 22:43:54 2026 A1: 804304872740514208235814117607420348252
  230. Tue Sep 8 22:43:54 2026 A2: 28854346822556794492201046955885
  231. Tue Sep 8 22:43:54 2026 A3: -331165105307107104427195
  232. Tue Sep 8 22:43:54 2026 A4: -2099108690225148
  233. Tue Sep 8 22:43:54 2026 A5: 12252240
  234. Tue Sep 8 22:43:54 2026 skew 73144511.28, size 2.398e-19, alpha -7.498, combined = 7.303e-15 rroots = 5
  235. Tue Sep 8 22:43:54 2026
  236. Tue Sep 8 22:43:54 2026 commencing square root phase
  237. Tue Sep 8 22:43:54 2026 reading relations for dependency 1
  238. Tue Sep 8 22:44:01 2026 read 30346427 cycles
  239. Tue Sep 8 22:45:02 2026 cycles contain 114126838 unique relations
  240. Tue Sep 8 22:48:24 2026 read 114126838 relations
  241. Tue Sep 8 22:56:27 2026 multiplying 114126838 relations
  242. Tue Sep 8 23:11:12 2026 multiply complete, coefficients have about 7368.49 million bits
  243. Tue Sep 8 23:11:33 2026 initial square root is modulo 183322913
  244. Wed Sep 9 00:02:16 2026 sqrtTime: 4702
  245. Wed Sep 9 00:02:16 2026 p74 factor: 42312177713309921675502517278129393827567928104359519471160491250957203529
  246. Wed Sep 9 00:02:16 2026 p125 factor: 48991814745798386093431584297949556333484883604374820436790524597777202136079660135232575607686206597065536271393051406510453
  247. Wed Sep 9 00:02:16 2026 elapsed time 01:18:23
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