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  1. Tue Aug 4 16:21:29 2026
  2. Tue Aug 4 16:21:29 2026
  3. Tue Aug 4 16:21:29 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Aug 4 16:21:29 2026 random seeds: cb86aae7 804abd00
  5. Tue Aug 4 16:21:29 2026 MPI process 0 of 1
  6. Tue Aug 4 16:21:29 2026 Using 32 OpenMP threads
  7. Tue Aug 4 16:21:29 2026 factoring 169876393189587495994719594181357440938579193836459348710574479407808179029505406234071559697130953041908431394856855382949964886454199900292439407793943111918983629228073137790600149 (183 digits)
  8. Tue Aug 4 16:21:30 2026 searching for 15-digit factors
  9. Tue Aug 4 16:21:31 2026 commencing number field sieve (183-digit input)
  10. Tue Aug 4 16:21:31 2026 reversing signs of algebraic polynomial
  11. Tue Aug 4 16:21:31 2026 R0: -164832138391712635108119409072835906
  12. Tue Aug 4 16:21:31 2026 R1: 81074295225284786995997351
  13. Tue Aug 4 16:21:31 2026 A0: -5785031205837473354364212859401925842485164
  14. Tue Aug 4 16:21:31 2026 A1: 684408731268406734251343380339534965
  15. Tue Aug 4 16:21:31 2026 A2: 217561189872852693144616724688
  16. Tue Aug 4 16:21:31 2026 A3: -3933528361443026611843
  17. Tue Aug 4 16:21:31 2026 A4: -381853793377002
  18. Tue Aug 4 16:21:31 2026 A5: 8565480
  19. Tue Aug 4 16:21:31 2026 skew 22042643.43, size 1.098e-17, alpha -7.951, combined = 7.657e-14 rroots = 5
  20. Tue Aug 4 16:21:31 2026
  21. Tue Aug 4 16:21:31 2026 commencing relation filtering
  22. Tue Aug 4 16:21:31 2026 setting target matrix density to 130.0
  23. Tue Aug 4 16:21:31 2026 reversing signs of algebraic polynomial
  24. Tue Aug 4 16:21:31 2026 estimated available RAM is 257736.5 MB
  25. Tue Aug 4 16:21:31 2026 commencing duplicate removal, pass 1
  26. Tue Aug 4 16:22:35 2026 error -1 reading relation 22353974
  27. Tue Aug 4 16:23:01 2026 error -1 reading relation 32506896
  28. Tue Aug 4 16:23:26 2026 error -1 reading relation 43204627
  29. Tue Aug 4 16:23:50 2026 error -1 reading relation 53046284
  30. Tue Aug 4 16:23:50 2026 error -1 reading relation 53053859
  31. Tue Aug 4 16:24:59 2026 error -1 reading relation 76954038
  32. Tue Aug 4 16:25:46 2026 error -1 reading relation 94784943
  33. Tue Aug 4 16:25:49 2026 error -1 reading relation 95633594
  34. Tue Aug 4 16:26:01 2026 error -1 reading relation 100477298
  35. Tue Aug 4 16:26:10 2026 error -1 reading relation 103674412
  36. Tue Aug 4 16:26:10 2026 error -1 reading relation 103866588
  37. Tue Aug 4 16:27:08 2026 error -15 reading relation 125617634
  38. Tue Aug 4 16:27:36 2026 error -1 reading relation 135865958
  39. Tue Aug 4 16:28:44 2026 error -1 reading relation 162042806
  40. Tue Aug 4 16:31:56 2026 error -1 reading relation 237262470
  41. Tue Aug 4 16:32:28 2026 error -1 reading relation 243858086
  42. Tue Aug 4 16:32:30 2026 error -1 reading relation 244274123
  43. Tue Aug 4 16:32:37 2026 error -1 reading relation 245748382
  44. Tue Aug 4 16:34:18 2026 error -1 reading relation 276979320
  45. Tue Aug 4 16:34:28 2026 error -1 reading relation 280968462
  46. Tue Aug 4 16:35:07 2026 error -1 reading relation 295813407
  47. Tue Aug 4 16:35:52 2026 error -1 reading relation 312787594
  48. Tue Aug 4 16:35:55 2026 error -1 reading relation 314782273
  49. Tue Aug 4 16:35:59 2026 error -1 reading relation 316977099
  50. Tue Aug 4 16:36:17 2026 error -1 reading relation 328670570
  51. Tue Aug 4 16:36:21 2026 error -1 reading relation 331154021
  52. Tue Aug 4 16:36:22 2026 error -1 reading relation 331583818
  53. Tue Aug 4 16:36:22 2026 error -1 reading relation 331773907
  54. Tue Aug 4 16:36:22 2026 error -11 reading relation 331773908
  55. Tue Aug 4 16:36:22 2026 error -1 reading relation 331956452
  56. Tue Aug 4 16:36:22 2026 error -1 reading relation 332060230
  57. Tue Aug 4 16:36:26 2026 error -1 reading relation 334120915
  58. Tue Aug 4 16:36:31 2026 skipped 1 relations with b > 2^32
  59. Tue Aug 4 16:36:31 2026 skipped 207 malformed relations
  60. Tue Aug 4 16:36:31 2026 found 69161151 hash collisions in 338076745 relations
  61. Tue Aug 4 16:36:59 2026 added 121894 free relations
  62. Tue Aug 4 16:36:59 2026 commencing duplicate removal, pass 2
  63. Tue Aug 4 16:46:27 2026 found 73354397 duplicates and 264844242 unique relations
  64. Tue Aug 4 16:46:27 2026 memory use: 1705.5 MB
  65. Tue Aug 4 16:46:27 2026 reading ideals above 720000
  66. Tue Aug 4 16:46:27 2026 commencing singleton removal, initial pass
  67. Tue Aug 4 17:14:44 2026 memory use: 6024.0 MB
  68. Tue Aug 4 17:14:44 2026 reading all ideals from disk
  69. Tue Aug 4 17:14:53 2026 memory use: 12916.3 MB
  70. Tue Aug 4 17:15:42 2026 keeping 247673095 ideals with weight <= 200, target excess is 1390190
  71. Tue Aug 4 17:16:47 2026 commencing in-memory singleton removal
  72. Tue Aug 4 17:16:53 2026 begin with 264844242 relations and 247673095 unique ideals
  73. Tue Aug 4 17:17:16 2026 reduce to 165288701 relations and 137916684 ideals in 14 passes
  74. Tue Aug 4 17:17:16 2026 max relations containing the same ideal: 154
  75. Tue Aug 4 17:18:24 2026 removing 11988165 relations and 9988165 ideals in 2000000 cliques
  76. Tue Aug 4 17:18:32 2026 commencing in-memory singleton removal
  77. Tue Aug 4 17:18:36 2026 begin with 153300536 relations and 137916684 unique ideals
  78. Tue Aug 4 17:18:49 2026 reduce to 152637876 relations and 127255666 ideals in 9 passes
  79. Tue Aug 4 17:18:49 2026 max relations containing the same ideal: 148
  80. Tue Aug 4 17:20:44 2026 removing 9191321 relations and 7191321 ideals in 2000000 cliques
  81. Tue Aug 4 17:20:52 2026 commencing in-memory singleton removal
  82. Tue Aug 4 17:20:56 2026 begin with 143446555 relations and 127255666 unique ideals
  83. Tue Aug 4 17:21:05 2026 reduce to 143000635 relations and 119612239 ideals in 7 passes
  84. Tue Aug 4 17:21:05 2026 max relations containing the same ideal: 143
  85. Tue Aug 4 17:22:46 2026 removing 8352407 relations and 6352407 ideals in 2000000 cliques
  86. Tue Aug 4 17:22:53 2026 commencing in-memory singleton removal
  87. Tue Aug 4 17:22:55 2026 begin with 134648228 relations and 119612239 unique ideals
  88. Tue Aug 4 17:23:06 2026 reduce to 134247683 relations and 112853943 ideals in 8 passes
  89. Tue Aug 4 17:23:06 2026 max relations containing the same ideal: 134
  90. Tue Aug 4 17:24:37 2026 removing 7920826 relations and 5920826 ideals in 2000000 cliques
  91. Tue Aug 4 17:24:44 2026 commencing in-memory singleton removal
  92. Tue Aug 4 17:24:47 2026 begin with 126326857 relations and 112853943 unique ideals
  93. Tue Aug 4 17:24:56 2026 reduce to 125945450 relations and 106546375 ideals in 7 passes
  94. Tue Aug 4 17:24:56 2026 max relations containing the same ideal: 131
  95. Tue Aug 4 17:26:22 2026 removing 7659919 relations and 5659919 ideals in 2000000 cliques
  96. Tue Aug 4 17:26:28 2026 commencing in-memory singleton removal
  97. Tue Aug 4 17:26:31 2026 begin with 118285531 relations and 106546375 unique ideals
  98. Tue Aug 4 17:26:39 2026 reduce to 117904830 relations and 100500284 ideals in 7 passes
  99. Tue Aug 4 17:26:39 2026 max relations containing the same ideal: 125
  100. Tue Aug 4 17:27:44 2026 removing 7501478 relations and 5501478 ideals in 2000000 cliques
  101. Tue Aug 4 17:27:48 2026 commencing in-memory singleton removal
  102. Tue Aug 4 17:27:50 2026 begin with 110403352 relations and 100500284 unique ideals
  103. Tue Aug 4 17:27:56 2026 reduce to 110016408 relations and 94605978 ideals in 8 passes
  104. Tue Aug 4 17:27:56 2026 max relations containing the same ideal: 121
  105. Tue Aug 4 17:28:39 2026 removing 7406529 relations and 5406529 ideals in 2000000 cliques
  106. Tue Aug 4 17:28:42 2026 commencing in-memory singleton removal
  107. Tue Aug 4 17:28:44 2026 begin with 102609879 relations and 94605978 unique ideals
  108. Tue Aug 4 17:28:51 2026 reduce to 102208563 relations and 88791682 ideals in 7 passes
  109. Tue Aug 4 17:28:51 2026 max relations containing the same ideal: 118
  110. Tue Aug 4 17:30:03 2026 removing 7358365 relations and 5358365 ideals in 2000000 cliques
  111. Tue Aug 4 17:30:08 2026 commencing in-memory singleton removal
  112. Tue Aug 4 17:30:10 2026 begin with 94850198 relations and 88791682 unique ideals
  113. Tue Aug 4 17:30:16 2026 reduce to 94424896 relations and 83000697 ideals in 7 passes
  114. Tue Aug 4 17:30:16 2026 max relations containing the same ideal: 109
  115. Tue Aug 4 17:31:20 2026 removing 7349826 relations and 5349826 ideals in 2000000 cliques
  116. Tue Aug 4 17:31:25 2026 commencing in-memory singleton removal
  117. Tue Aug 4 17:31:27 2026 begin with 87075070 relations and 83000697 unique ideals
  118. Tue Aug 4 17:31:34 2026 reduce to 86617608 relations and 77184913 ideals in 9 passes
  119. Tue Aug 4 17:31:34 2026 max relations containing the same ideal: 106
  120. Tue Aug 4 17:32:33 2026 removing 7374983 relations and 5374983 ideals in 2000000 cliques
  121. Tue Aug 4 17:32:38 2026 commencing in-memory singleton removal
  122. Tue Aug 4 17:32:39 2026 begin with 79242625 relations and 77184913 unique ideals
  123. Tue Aug 4 17:32:46 2026 reduce to 78742232 relations and 71299385 ideals in 9 passes
  124. Tue Aug 4 17:32:46 2026 max relations containing the same ideal: 99
  125. Tue Aug 4 17:33:40 2026 removing 7437325 relations and 5437325 ideals in 2000000 cliques
  126. Tue Aug 4 17:33:44 2026 commencing in-memory singleton removal
  127. Tue Aug 4 17:33:46 2026 begin with 71304907 relations and 71299385 unique ideals
  128. Tue Aug 4 17:33:51 2026 reduce to 70744258 relations and 65289437 ideals in 7 passes
  129. Tue Aug 4 17:33:51 2026 max relations containing the same ideal: 91
  130. Tue Aug 4 17:34:43 2026 removing 7527257 relations and 5527257 ideals in 2000000 cliques
  131. Tue Aug 4 17:34:47 2026 commencing in-memory singleton removal
  132. Tue Aug 4 17:34:48 2026 begin with 63217001 relations and 65289437 unique ideals
  133. Tue Aug 4 17:34:53 2026 reduce to 62574225 relations and 59103845 ideals in 8 passes
  134. Tue Aug 4 17:34:53 2026 max relations containing the same ideal: 84
  135. Tue Aug 4 17:35:39 2026 removing 7226934 relations and 5369175 ideals in 1857759 cliques
  136. Tue Aug 4 17:35:43 2026 commencing in-memory singleton removal
  137. Tue Aug 4 17:35:44 2026 begin with 55347291 relations and 59103845 unique ideals
  138. Tue Aug 4 17:35:49 2026 reduce to 54676882 relations and 53047349 ideals in 8 passes
  139. Tue Aug 4 17:35:49 2026 max relations containing the same ideal: 74
  140. Tue Aug 4 17:36:29 2026 removing 145399 relations and 128487 ideals in 16912 cliques
  141. Tue Aug 4 17:36:31 2026 commencing in-memory singleton removal
  142. Tue Aug 4 17:36:32 2026 begin with 54531483 relations and 53047349 unique ideals
  143. Tue Aug 4 17:36:35 2026 reduce to 54531242 relations and 52918621 ideals in 4 passes
  144. Tue Aug 4 17:36:35 2026 max relations containing the same ideal: 74
  145. Tue Aug 4 17:36:43 2026 relations with 0 large ideals: 5144
  146. Tue Aug 4 17:36:43 2026 relations with 1 large ideals: 26026
  147. Tue Aug 4 17:36:43 2026 relations with 2 large ideals: 364780
  148. Tue Aug 4 17:36:43 2026 relations with 3 large ideals: 2160263
  149. Tue Aug 4 17:36:43 2026 relations with 4 large ideals: 6850528
  150. Tue Aug 4 17:36:43 2026 relations with 5 large ideals: 12862389
  151. Tue Aug 4 17:36:43 2026 relations with 6 large ideals: 15000190
  152. Tue Aug 4 17:36:43 2026 relations with 7+ large ideals: 17261922
  153. Tue Aug 4 17:36:43 2026 commencing 2-way merge
  154. Tue Aug 4 17:37:34 2026 reduce to 34239842 relation sets and 32627221 unique ideals
  155. Tue Aug 4 17:37:34 2026 commencing full merge
  156. Tue Aug 4 17:57:32 2026 memory use: 4087.3 MB
  157. Tue Aug 4 17:57:38 2026 found 15049007 cycles, need 14973421
  158. Tue Aug 4 17:57:45 2026 weight of 14973421 cycles is about 1947216171 (130.04/cycle)
  159. Tue Aug 4 17:57:45 2026 distribution of cycle lengths:
  160. Tue Aug 4 17:57:45 2026 1 relations: 826922
  161. Tue Aug 4 17:57:45 2026 2 relations: 993123
  162. Tue Aug 4 17:57:45 2026 3 relations: 1071107
  163. Tue Aug 4 17:57:45 2026 4 relations: 1059066
  164. Tue Aug 4 17:57:45 2026 5 relations: 1060566
  165. Tue Aug 4 17:57:45 2026 6 relations: 1035333
  166. Tue Aug 4 17:57:45 2026 7 relations: 1017941
  167. Tue Aug 4 17:57:45 2026 8 relations: 964941
  168. Tue Aug 4 17:57:45 2026 9 relations: 917214
  169. Tue Aug 4 17:57:45 2026 10+ relations: 6027208
  170. Tue Aug 4 17:57:45 2026 heaviest cycle: 28 relations
  171. Tue Aug 4 17:57:53 2026 commencing cycle optimization
  172. Tue Aug 4 17:58:56 2026 start with 132915164 relations
  173. Tue Aug 4 18:06:47 2026 pruned 5887634 relations
  174. Tue Aug 4 18:06:48 2026 memory use: 3593.0 MB
  175. Tue Aug 4 18:06:48 2026 distribution of cycle lengths:
  176. Tue Aug 4 18:06:48 2026 1 relations: 826922
  177. Tue Aug 4 18:06:48 2026 2 relations: 1019000
  178. Tue Aug 4 18:06:48 2026 3 relations: 1116867
  179. Tue Aug 4 18:06:48 2026 4 relations: 1101811
  180. Tue Aug 4 18:06:48 2026 5 relations: 1111503
  181. Tue Aug 4 18:06:48 2026 6 relations: 1082858
  182. Tue Aug 4 18:06:48 2026 7 relations: 1065871
  183. Tue Aug 4 18:06:48 2026 8 relations: 1008930
  184. Tue Aug 4 18:06:48 2026 9 relations: 956708
  185. Tue Aug 4 18:06:48 2026 10+ relations: 5682951
  186. Tue Aug 4 18:06:48 2026 heaviest cycle: 28 relations
  187. Tue Aug 4 18:07:07 2026 RelProcTime: 6336
  188. Tue Aug 4 18:07:07 2026
  189. Tue Aug 4 18:07:07 2026 commencing linear algebra
  190. Tue Aug 4 18:07:07 2026 using VBITS=256
  191. Tue Aug 4 18:07:07 2026 stopping after matrix build
  192. Tue Aug 4 18:07:07 2026 initialized process (0,0) of 1 x 1 grid
  193. Tue Aug 4 18:07:07 2026 reversing signs of algebraic polynomial
  194. Tue Aug 4 18:07:09 2026 read 14973421 cycles
  195. Tue Aug 4 18:08:01 2026 cycles contain 53516046 unique relations
  196. Tue Aug 4 18:14:16 2026 read 53516046 relations
  197. Tue Aug 4 18:14:22 2026 using 20 quadratic characters above 4294917295
  198. Tue Aug 4 18:14:31 2026 building initial matrix
  199. Tue Aug 4 18:33:06 2026 memory use: 7615.7 MB
  200. Tue Aug 4 18:33:27 2026 read 14973421 cycles
  201. Tue Aug 4 18:33:31 2026 matrix is 14973244 x 14973421 (7580.7 MB) with weight 2310104115 (154.28/col)
  202. Tue Aug 4 18:33:31 2026 sparse part has weight 1807543100 (120.72/col)
  203. Tue Aug 4 18:38:41 2026 filtering completed in 2 passes
  204. Tue Aug 4 18:38:47 2026 matrix is 14972602 x 14972779 (7580.6 MB) with weight 2310069717 (154.28/col)
  205. Tue Aug 4 18:38:47 2026 sparse part has weight 1807532115 (120.72/col)
  206. Tue Aug 4 18:40:58 2026 BLanczosTime: 2031
  207. Tue Aug 4 18:40:58 2026 elapsed time 02:19:29
  208. Wed Aug 5 09:37:18 2026
  209. Wed Aug 5 09:37:18 2026
  210. Wed Aug 5 09:37:18 2026 Msieve v. 1.54 (SVN Unversioned directory)
  211. Wed Aug 5 09:37:18 2026 random seeds: 1eb945ae a913da4d
  212. Wed Aug 5 09:37:18 2026 MPI process 0 of 1
  213. Wed Aug 5 09:37:18 2026 Using 64 OpenMP threads
  214. Wed Aug 5 09:37:18 2026 factoring 169876393189587495994719594181357440938579193836459348710574479407808179029505406234071559697130953041908431394856855382949964886454199900292439407793943111918983629228073137790600149 (183 digits)
  215. Wed Aug 5 09:37:19 2026 searching for 15-digit factors
  216. Wed Aug 5 09:37:19 2026 commencing number field sieve (183-digit input)
  217. Wed Aug 5 09:37:19 2026 reversing signs of algebraic polynomial
  218. Wed Aug 5 09:37:19 2026 R0: -164832138391712635108119409072835906
  219. Wed Aug 5 09:37:19 2026 R1: 81074295225284786995997351
  220. Wed Aug 5 09:37:19 2026 A0: -5785031205837473354364212859401925842485164
  221. Wed Aug 5 09:37:19 2026 A1: 684408731268406734251343380339534965
  222. Wed Aug 5 09:37:19 2026 A2: 217561189872852693144616724688
  223. Wed Aug 5 09:37:19 2026 A3: -3933528361443026611843
  224. Wed Aug 5 09:37:19 2026 A4: -381853793377002
  225. Wed Aug 5 09:37:19 2026 A5: 8565480
  226. Wed Aug 5 09:37:19 2026 skew 22042643.43, size 1.098e-17, alpha -7.951, combined = 7.657e-14 rroots = 5
  227. Wed Aug 5 09:37:19 2026
  228. Wed Aug 5 09:37:19 2026 commencing linear algebra
  229. Wed Aug 5 09:37:19 2026 using VBITS=256
  230. Wed Aug 5 09:37:19 2026 skipping matrix build
  231. Wed Aug 5 09:37:19 2026 initialized process (0,0) of 1 x 1 grid
  232. Wed Aug 5 09:37:29 2026 matrix starts at (0, 0)
  233. Wed Aug 5 09:37:31 2026 matrix is 14972602 x 14972779 (7580.6 MB) with weight 2310069717 (154.28/col)
  234. Wed Aug 5 09:37:31 2026 sparse part has weight 1807532115 (120.72/col)
  235. Wed Aug 5 09:37:31 2026 saving the first 240 matrix rows for later
  236. Wed Aug 5 09:37:34 2026 matrix includes 256 packed rows
  237. Wed Aug 5 09:37:39 2026 matrix is 14972362 x 14972779 (6834.3 MB) with weight 1657715601 (110.72/col)
  238. Wed Aug 5 09:37:39 2026 sparse part has weight 1552018271 (103.66/col)
  239. Wed Aug 5 09:37:39 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  240. Wed Aug 5 09:38:14 2026 commencing Lanczos iteration (64 threads)
  241. Wed Aug 5 09:38:14 2026 memory use: 9675.1 MB
  242. Wed Aug 5 09:40:28 2026 linear algebra at 0.2%, ETA 17h54m
  243. Wed Aug 5 09:43:40 2026 checking every 10000 dimensions, checkpointing every 860000 dimensions
  244. Thu Aug 6 02:59:40 2026 lanczos halted after 58662 iterations (dim = 14972362)
  245. Thu Aug 6 03:00:27 2026 recovered 30 nontrivial dependencies
  246. Thu Aug 6 03:00:29 2026 BLanczosTime: 62590
  247. Thu Aug 6 03:00:29 2026
  248. Thu Aug 6 03:00:29 2026 commencing square root phase
  249. Thu Aug 6 03:00:29 2026 reversing signs of algebraic polynomial
  250. Thu Aug 6 03:00:29 2026 handling dependencies 1 to 64
  251. Thu Aug 6 03:00:29 2026 reading relations for dependency 1
  252. Thu Aug 6 03:00:31 2026 read 7485640 cycles
  253. Thu Aug 6 03:00:59 2026 cycles contain 26757290 unique relations
  254. Thu Aug 6 03:06:41 2026 read 26757290 relations
  255. Thu Aug 6 03:09:18 2026 multiplying 26757290 relations
  256. Thu Aug 6 03:13:59 2026 multiply complete, coefficients have about 1639.15 million bits
  257. Thu Aug 6 03:14:06 2026 initial square root is modulo 22530539
  258. Thu Aug 6 03:30:19 2026 sqrtTime: 1790
  259. Thu Aug 6 03:30:19 2026 p78 factor: 116692269012270346961126121025460776732837367384547515922848931097423449580673
  260. Thu Aug 6 03:30:19 2026 p106 factor: 1455763904734123970030509391982106995794265635397234540825343052054564791388922595735351621763707039081813
  261. Thu Aug 6 03:30:19 2026 elapsed time 17:53:01
  262.  
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