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Aug 30th, 2025
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  1. Sat Aug 30 00:22:29 2025
  2. Sat Aug 30 00:22:29 2025
  3. Sat Aug 30 00:22:29 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Aug 30 00:22:29 2025 random seeds: d2af63c5 21805852
  5. Sat Aug 30 00:22:29 2025 MPI process 0 of 1
  6. Sat Aug 30 00:22:29 2025 Using 32 OpenMP threads
  7. Sat Aug 30 00:22:29 2025 factoring 1017759969826066937320746186237259932003681407496980690373611840765472003663403819290526648452261879652882365971130757234857806273666924471191115956998629317079938051 (166 digits)
  8. Sat Aug 30 00:22:29 2025 searching for 15-digit factors
  9. Sat Aug 30 00:22:29 2025 commencing number field sieve (166-digit input)
  10. Sat Aug 30 00:22:29 2025 R0: -113538008428761455802690091842608
  11. Sat Aug 30 00:22:29 2025 R1: 882471080754632097308143
  12. Sat Aug 30 00:22:29 2025 A0: -3031505295343989713966411332846914411810
  13. Sat Aug 30 00:22:29 2025 A1: 1506197364009070449918110221985175
  14. Sat Aug 30 00:22:29 2025 A2: 1798248959870338154197554076
  15. Sat Aug 30 00:22:29 2025 A3: -61103562186625579235
  16. Sat Aug 30 00:22:29 2025 A4: -17324925142254
  17. Sat Aug 30 00:22:29 2025 A5: 461160
  18. Sat Aug 30 00:22:29 2025 skew 9465671.81, size 5.223e-16, alpha -8.284, combined = 7.833e-13 rroots = 5
  19. Sat Aug 30 00:22:29 2025
  20. Sat Aug 30 00:22:29 2025 commencing relation filtering
  21. Sat Aug 30 00:22:29 2025 setting target matrix density to 130.0
  22. Sat Aug 30 00:22:29 2025 estimated available RAM is 257736.5 MB
  23. Sat Aug 30 00:22:29 2025 commencing duplicate removal, pass 1
  24. Sat Aug 30 00:24:43 2025 error -1 reading relation 82298318
  25. Sat Aug 30 00:24:59 2025 error -1 reading relation 89274271
  26. Sat Aug 30 00:25:22 2025 error -1 reading relation 99440786
  27. Sat Aug 30 00:27:21 2025 error -1 reading relation 149539080
  28. Sat Aug 30 00:29:26 2025 error -1 reading relation 214064538
  29. Sat Aug 30 00:30:19 2025 error -1 reading relation 241833704
  30. Sat Aug 30 00:31:03 2025 error -1 reading relation 267106995
  31. Sat Aug 30 00:32:02 2025 skipped 61 malformed relations
  32. Sat Aug 30 00:32:02 2025 found 54628049 hash collisions in 303376213 relations
  33. Sat Aug 30 00:32:54 2025 added 121684 free relations
  34. Sat Aug 30 00:32:54 2025 commencing duplicate removal, pass 2
  35. Sat Aug 30 00:40:53 2025 found 55591885 duplicates and 247906012 unique relations
  36. Sat Aug 30 00:40:53 2025 memory use: 1705.5 MB
  37. Sat Aug 30 00:40:53 2025 reading ideals above 720000
  38. Sat Aug 30 00:40:53 2025 commencing singleton removal, initial pass
  39. Sat Aug 30 00:59:53 2025 memory use: 6024.0 MB
  40. Sat Aug 30 00:59:54 2025 reading all ideals from disk
  41. Sat Aug 30 00:59:58 2025 memory use: 11336.2 MB
  42. Sat Aug 30 01:00:26 2025 keeping 230297356 ideals with weight <= 200, target excess is 1202848
  43. Sat Aug 30 01:00:59 2025 commencing in-memory singleton removal
  44. Sat Aug 30 01:01:03 2025 begin with 247906012 relations and 230297356 unique ideals
  45. Sat Aug 30 01:01:20 2025 reduce to 143352806 relations and 113619705 ideals in 14 passes
  46. Sat Aug 30 01:01:20 2025 max relations containing the same ideal: 145
  47. Sat Aug 30 01:02:10 2025 removing 11343877 relations and 9343877 ideals in 2000000 cliques
  48. Sat Aug 30 01:02:15 2025 commencing in-memory singleton removal
  49. Sat Aug 30 01:02:18 2025 begin with 132008929 relations and 113619705 unique ideals
  50. Sat Aug 30 01:02:26 2025 reduce to 131341112 relations and 103596046 ideals in 9 passes
  51. Sat Aug 30 01:02:26 2025 max relations containing the same ideal: 137
  52. Sat Aug 30 01:03:10 2025 removing 8644337 relations and 6644337 ideals in 2000000 cliques
  53. Sat Aug 30 01:03:15 2025 commencing in-memory singleton removal
  54. Sat Aug 30 01:03:16 2025 begin with 122696775 relations and 103596046 unique ideals
  55. Sat Aug 30 01:03:22 2025 reduce to 122243804 relations and 96491728 ideals in 7 passes
  56. Sat Aug 30 01:03:22 2025 max relations containing the same ideal: 132
  57. Sat Aug 30 01:04:03 2025 removing 7841400 relations and 5841400 ideals in 2000000 cliques
  58. Sat Aug 30 01:04:06 2025 commencing in-memory singleton removal
  59. Sat Aug 30 01:04:08 2025 begin with 114402404 relations and 96491728 unique ideals
  60. Sat Aug 30 01:04:14 2025 reduce to 113999767 relations and 90241242 ideals in 7 passes
  61. Sat Aug 30 01:04:14 2025 max relations containing the same ideal: 127
  62. Sat Aug 30 01:04:52 2025 removing 7423511 relations and 5423511 ideals in 2000000 cliques
  63. Sat Aug 30 01:04:55 2025 commencing in-memory singleton removal
  64. Sat Aug 30 01:04:57 2025 begin with 106576256 relations and 90241242 unique ideals
  65. Sat Aug 30 01:05:02 2025 reduce to 106191685 relations and 84426859 ideals in 7 passes
  66. Sat Aug 30 01:05:02 2025 max relations containing the same ideal: 122
  67. Sat Aug 30 01:05:38 2025 removing 7167345 relations and 5167345 ideals in 2000000 cliques
  68. Sat Aug 30 01:05:41 2025 commencing in-memory singleton removal
  69. Sat Aug 30 01:05:43 2025 begin with 99024340 relations and 84426859 unique ideals
  70. Sat Aug 30 01:05:48 2025 reduce to 98647292 relations and 78875948 ideals in 7 passes
  71. Sat Aug 30 01:05:48 2025 max relations containing the same ideal: 118
  72. Sat Aug 30 01:06:19 2025 removing 7001162 relations and 5001162 ideals in 2000000 cliques
  73. Sat Aug 30 01:06:23 2025 commencing in-memory singleton removal
  74. Sat Aug 30 01:06:24 2025 begin with 91646130 relations and 78875948 unique ideals
  75. Sat Aug 30 01:06:28 2025 reduce to 91264165 relations and 73485873 ideals in 7 passes
  76. Sat Aug 30 01:06:28 2025 max relations containing the same ideal: 112
  77. Sat Aug 30 01:06:59 2025 removing 6890181 relations and 4890181 ideals in 2000000 cliques
  78. Sat Aug 30 01:07:02 2025 commencing in-memory singleton removal
  79. Sat Aug 30 01:07:03 2025 begin with 84373984 relations and 73485873 unique ideals
  80. Sat Aug 30 01:07:07 2025 reduce to 83977378 relations and 68191304 ideals in 7 passes
  81. Sat Aug 30 01:07:07 2025 max relations containing the same ideal: 108
  82. Sat Aug 30 01:07:36 2025 removing 6817500 relations and 4817500 ideals in 2000000 cliques
  83. Sat Aug 30 01:07:39 2025 commencing in-memory singleton removal
  84. Sat Aug 30 01:07:40 2025 begin with 77159878 relations and 68191304 unique ideals
  85. Sat Aug 30 01:07:43 2025 reduce to 76743049 relations and 62948164 ideals in 7 passes
  86. Sat Aug 30 01:07:43 2025 max relations containing the same ideal: 100
  87. Sat Aug 30 01:08:10 2025 removing 6779890 relations and 4779890 ideals in 2000000 cliques
  88. Sat Aug 30 01:08:13 2025 commencing in-memory singleton removal
  89. Sat Aug 30 01:08:14 2025 begin with 69963159 relations and 62948164 unique ideals
  90. Sat Aug 30 01:08:17 2025 reduce to 69515502 relations and 57710180 ideals in 8 passes
  91. Sat Aug 30 01:08:17 2025 max relations containing the same ideal: 92
  92. Sat Aug 30 01:08:41 2025 removing 6776500 relations and 4776500 ideals in 2000000 cliques
  93. Sat Aug 30 01:08:44 2025 commencing in-memory singleton removal
  94. Sat Aug 30 01:08:44 2025 begin with 62739002 relations and 57710180 unique ideals
  95. Sat Aug 30 01:08:47 2025 reduce to 62246555 relations and 52428776 ideals in 7 passes
  96. Sat Aug 30 01:08:47 2025 max relations containing the same ideal: 87
  97. Sat Aug 30 01:09:10 2025 removing 6801752 relations and 4801752 ideals in 2000000 cliques
  98. Sat Aug 30 01:09:12 2025 commencing in-memory singleton removal
  99. Sat Aug 30 01:09:13 2025 begin with 55444803 relations and 52428776 unique ideals
  100. Sat Aug 30 01:09:16 2025 reduce to 54890575 relations and 47057431 ideals in 8 passes
  101. Sat Aug 30 01:09:16 2025 max relations containing the same ideal: 79
  102. Sat Aug 30 01:09:35 2025 removing 6860056 relations and 4860056 ideals in 2000000 cliques
  103. Sat Aug 30 01:09:37 2025 commencing in-memory singleton removal
  104. Sat Aug 30 01:09:38 2025 begin with 48030519 relations and 47057431 unique ideals
  105. Sat Aug 30 01:09:40 2025 reduce to 47385928 relations and 41532426 ideals in 8 passes
  106. Sat Aug 30 01:09:40 2025 max relations containing the same ideal: 73
  107. Sat Aug 30 01:09:58 2025 removing 6965049 relations and 4965049 ideals in 2000000 cliques
  108. Sat Aug 30 01:10:00 2025 commencing in-memory singleton removal
  109. Sat Aug 30 01:10:01 2025 begin with 40420879 relations and 41532426 unique ideals
  110. Sat Aug 30 01:10:03 2025 reduce to 39639614 relations and 35757838 ideals in 8 passes
  111. Sat Aug 30 01:10:03 2025 max relations containing the same ideal: 64
  112. Sat Aug 30 01:10:18 2025 removing 7110884 relations and 5110884 ideals in 2000000 cliques
  113. Sat Aug 30 01:10:20 2025 commencing in-memory singleton removal
  114. Sat Aug 30 01:10:20 2025 begin with 32528730 relations and 35757838 unique ideals
  115. Sat Aug 30 01:10:22 2025 reduce to 31525033 relations and 29599273 ideals in 9 passes
  116. Sat Aug 30 01:10:22 2025 max relations containing the same ideal: 55
  117. Sat Aug 30 01:10:33 2025 removing 2632302 relations and 2101846 ideals in 530456 cliques
  118. Sat Aug 30 01:10:35 2025 commencing in-memory singleton removal
  119. Sat Aug 30 01:10:35 2025 begin with 28892731 relations and 29599273 unique ideals
  120. Sat Aug 30 01:10:36 2025 reduce to 28731311 relations and 27333637 ideals in 7 passes
  121. Sat Aug 30 01:10:36 2025 max relations containing the same ideal: 51
  122. Sat Aug 30 01:10:49 2025 relations with 0 large ideals: 4375
  123. Sat Aug 30 01:10:49 2025 relations with 1 large ideals: 51580
  124. Sat Aug 30 01:10:49 2025 relations with 2 large ideals: 588892
  125. Sat Aug 30 01:10:49 2025 relations with 3 large ideals: 2665293
  126. Sat Aug 30 01:10:49 2025 relations with 4 large ideals: 6232812
  127. Sat Aug 30 01:10:49 2025 relations with 5 large ideals: 8317770
  128. Sat Aug 30 01:10:49 2025 relations with 6 large ideals: 6657666
  129. Sat Aug 30 01:10:49 2025 relations with 7+ large ideals: 4212923
  130. Sat Aug 30 01:10:49 2025 commencing 2-way merge
  131. Sat Aug 30 01:11:04 2025 reduce to 17225420 relation sets and 15827746 unique ideals
  132. Sat Aug 30 01:11:04 2025 commencing full merge
  133. Sat Aug 30 01:17:23 2025 memory use: 1936.4 MB
  134. Sat Aug 30 01:17:26 2025 found 7400689 cycles, need 7331946
  135. Sat Aug 30 01:17:29 2025 weight of 7331946 cycles is about 953586912 (130.06/cycle)
  136. Sat Aug 30 01:17:29 2025 distribution of cycle lengths:
  137. Sat Aug 30 01:17:29 2025 1 relations: 377931
  138. Sat Aug 30 01:17:29 2025 2 relations: 437260
  139. Sat Aug 30 01:17:29 2025 3 relations: 463252
  140. Sat Aug 30 01:17:29 2025 4 relations: 458171
  141. Sat Aug 30 01:17:29 2025 5 relations: 466908
  142. Sat Aug 30 01:17:29 2025 6 relations: 465176
  143. Sat Aug 30 01:17:29 2025 7 relations: 458804
  144. Sat Aug 30 01:17:29 2025 8 relations: 451764
  145. Sat Aug 30 01:17:29 2025 9 relations: 435602
  146. Sat Aug 30 01:17:29 2025 10+ relations: 3317078
  147. Sat Aug 30 01:17:29 2025 heaviest cycle: 28 relations
  148. Sat Aug 30 01:17:34 2025 commencing cycle optimization
  149. Sat Aug 30 01:18:03 2025 start with 70086531 relations
  150. Sat Aug 30 01:22:30 2025 pruned 3107672 relations
  151. Sat Aug 30 01:22:30 2025 memory use: 1875.5 MB
  152. Sat Aug 30 01:22:30 2025 distribution of cycle lengths:
  153. Sat Aug 30 01:22:30 2025 1 relations: 377931
  154. Sat Aug 30 01:22:30 2025 2 relations: 448018
  155. Sat Aug 30 01:22:30 2025 3 relations: 481425
  156. Sat Aug 30 01:22:30 2025 4 relations: 475883
  157. Sat Aug 30 01:22:30 2025 5 relations: 488701
  158. Sat Aug 30 01:22:30 2025 6 relations: 486661
  159. Sat Aug 30 01:22:30 2025 7 relations: 482664
  160. Sat Aug 30 01:22:30 2025 8 relations: 473816
  161. Sat Aug 30 01:22:30 2025 9 relations: 457884
  162. Sat Aug 30 01:22:30 2025 10+ relations: 3158963
  163. Sat Aug 30 01:22:30 2025 heaviest cycle: 28 relations
  164. Sat Aug 30 01:22:50 2025 RelProcTime: 3621
  165. Sat Aug 30 01:22:50 2025
  166. Sat Aug 30 01:22:50 2025 commencing linear algebra
  167. Sat Aug 30 01:22:50 2025 using VBITS=256
  168. Sat Aug 30 01:22:50 2025 stopping after matrix build
  169. Sat Aug 30 01:22:50 2025 initialized process (0,0) of 1 x 1 grid
  170. Sat Aug 30 01:22:52 2025 read 7331946 cycles
  171. Sat Aug 30 01:23:17 2025 cycles contain 27837357 unique relations
  172. Sat Aug 30 01:29:37 2025 read 27837357 relations
  173. Sat Aug 30 01:29:42 2025 using 20 quadratic characters above 4294917295
  174. Sat Aug 30 01:29:46 2025 building initial matrix
  175. Sat Aug 30 01:39:19 2025 memory use: 3837.9 MB
  176. Sat Aug 30 01:39:29 2025 read 7331946 cycles
  177. Sat Aug 30 01:39:31 2025 matrix is 7331769 x 7331946 (3704.1 MB) with weight 1139108697 (155.36/col)
  178. Sat Aug 30 01:39:31 2025 sparse part has weight 883020096 (120.43/col)
  179. Sat Aug 30 01:42:25 2025 filtering completed in 2 passes
  180. Sat Aug 30 01:42:28 2025 matrix is 7331285 x 7331462 (3704.0 MB) with weight 1139080840 (155.37/col)
  181. Sat Aug 30 01:42:28 2025 sparse part has weight 883010594 (120.44/col)
  182. Sat Aug 30 01:43:23 2025 BLanczosTime: 1233
  183. Sat Aug 30 01:43:23 2025 elapsed time 01:20:54
  184. Sat Aug 30 01:44:18 2025
  185. Sat Aug 30 01:44:18 2025
  186. Sat Aug 30 01:44:18 2025 Msieve v. 1.54 (SVN Unversioned directory)
  187. Sat Aug 30 01:44:18 2025 random seeds: 3fe09897 b5a36ae9
  188. Sat Aug 30 01:44:18 2025 MPI process 0 of 1
  189. Sat Aug 30 01:44:18 2025 Using 64 OpenMP threads
  190. Sat Aug 30 01:44:18 2025 factoring 1017759969826066937320746186237259932003681407496980690373611840765472003663403819290526648452261879652882365971130757234857806273666924471191115956998629317079938051 (166 digits)
  191. Sat Aug 30 01:44:18 2025 searching for 15-digit factors
  192. Sat Aug 30 01:44:19 2025 commencing number field sieve (166-digit input)
  193. Sat Aug 30 01:44:19 2025 R0: -113538008428761455802690091842608
  194. Sat Aug 30 01:44:19 2025 R1: 882471080754632097308143
  195. Sat Aug 30 01:44:19 2025 A0: -3031505295343989713966411332846914411810
  196. Sat Aug 30 01:44:19 2025 A1: 1506197364009070449918110221985175
  197. Sat Aug 30 01:44:19 2025 A2: 1798248959870338154197554076
  198. Sat Aug 30 01:44:19 2025 A3: -61103562186625579235
  199. Sat Aug 30 01:44:19 2025 A4: -17324925142254
  200. Sat Aug 30 01:44:19 2025 A5: 461160
  201. Sat Aug 30 01:44:19 2025 skew 9465671.81, size 5.223e-16, alpha -8.284, combined = 7.833e-13 rroots = 5
  202. Sat Aug 30 01:44:19 2025
  203. Sat Aug 30 01:44:19 2025 commencing linear algebra
  204. Sat Aug 30 01:44:19 2025 using VBITS=256
  205. Sat Aug 30 01:44:19 2025 skipping matrix build
  206. Sat Aug 30 01:44:19 2025 initialized process (0,0) of 1 x 1 grid
  207. Sat Aug 30 01:44:24 2025 matrix starts at (0, 0)
  208. Sat Aug 30 01:44:25 2025 matrix is 7331285 x 7331462 (3704.0 MB) with weight 1139080840 (155.37/col)
  209. Sat Aug 30 01:44:25 2025 sparse part has weight 883010594 (120.44/col)
  210. Sat Aug 30 01:44:25 2025 saving the first 240 matrix rows for later
  211. Sat Aug 30 01:44:27 2025 matrix includes 256 packed rows
  212. Sat Aug 30 01:44:29 2025 matrix is 7331045 x 7331462 (3334.3 MB) with weight 808492457 (110.28/col)
  213. Sat Aug 30 01:44:29 2025 sparse part has weight 756751349 (103.22/col)
  214. Sat Aug 30 01:44:29 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  215. Sat Aug 30 01:44:46 2025 commencing Lanczos iteration (64 threads)
  216. Sat Aug 30 01:44:46 2025 memory use: 4700.6 MB
  217. Sat Aug 30 01:45:46 2025 linear algebra at 0.4%, ETA 3h54m
  218. Sat Aug 30 01:47:12 2025 checking every 30000 dimensions, checkpointing every 1920000 dimensions
  219. Sat Aug 30 05:31:30 2025 lanczos halted after 28724 iterations (dim = 7331043)
  220. Sat Aug 30 05:32:01 2025 recovered 27 nontrivial dependencies
  221. Sat Aug 30 05:32:01 2025 BLanczosTime: 13662
  222. Sat Aug 30 05:32:01 2025
  223. Sat Aug 30 05:32:01 2025 commencing square root phase
  224. Sat Aug 30 05:32:01 2025 handling dependencies 1 to 64
  225. Sat Aug 30 05:32:01 2025 reading relations for dependency 1
  226. Sat Aug 30 05:32:02 2025 read 3664736 cycles
  227. Sat Aug 30 05:32:07 2025 cycles contain 13917336 unique relations
  228. Sat Aug 30 05:36:12 2025 read 13917336 relations
  229. Sat Aug 30 05:36:58 2025 multiplying 13917336 relations
  230. Sat Aug 30 05:38:10 2025 multiply complete, coefficients have about 777.21 million bits
  231. Sat Aug 30 05:38:12 2025 initial square root is modulo 9392683
  232. Sat Aug 30 05:45:16 2025 GCD is 1, no factor found
  233. Sat Aug 30 05:45:16 2025 reading relations for dependency 2
  234. Sat Aug 30 05:45:18 2025 read 3667584 cycles
  235. Sat Aug 30 05:45:32 2025 cycles contain 13925962 unique relations
  236. Sat Aug 30 05:51:58 2025 read 13925962 relations
  237. Sat Aug 30 05:53:42 2025 multiplying 13925962 relations
  238. Sat Aug 30 05:56:05 2025 multiply complete, coefficients have about 777.69 million bits
  239. Sat Aug 30 05:56:09 2025 initial square root is modulo 9486163
  240. Sat Aug 30 06:04:38 2025 sqrtTime: 1957
  241. Sat Aug 30 06:04:38 2025 p67 factor: 3765631694872799237094498782384527667494602767612438512700343919249
  242. Sat Aug 30 06:04:38 2025 p99 factor: 270276025988369065398344488153108244202294760456780737563187500895153841616571650131469208684367699
  243. Sat Aug 30 06:04:38 2025 elapsed time 04:20:20
  244.  
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