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Jun 14th, 2025
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  1. Sat Jun 14 17:57:16 2025
  2. Sat Jun 14 17:57:16 2025
  3. Sat Jun 14 17:57:16 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Jun 14 17:57:16 2025 random seeds: 2e58ee8e 3fc8bc5e
  5. Sat Jun 14 17:57:16 2025 MPI process 0 of 1
  6. Sat Jun 14 17:57:16 2025 Using 32 OpenMP threads
  7. Sat Jun 14 17:57:16 2025 factoring 36364189452832778187233280411364527060214110332607025997351699136917048545509048743133274217544142742430198125268502131058014239361364122209062524859233288834911 (161 digits)
  8. Sat Jun 14 17:57:17 2025 searching for 15-digit factors
  9. Sat Jun 14 17:57:17 2025 commencing number field sieve (161-digit input)
  10. Sat Jun 14 17:57:17 2025 reversing signs of algebraic polynomial
  11. Sat Jun 14 17:57:17 2025 R0: -7402567154423777735324718350461
  12. Sat Jun 14 17:57:17 2025 R1: 1506653947667805220931779
  13. Sat Jun 14 17:57:17 2025 A0: 6713107576659869810207231949823770480
  14. Sat Jun 14 17:57:17 2025 A1: -147191328563641610884241874189286
  15. Sat Jun 14 17:57:17 2025 A2: -89625676552129129521099144
  16. Sat Jun 14 17:57:17 2025 A3: 40405342365222267659
  17. Sat Jun 14 17:57:17 2025 A4: 4137097686226
  18. Sat Jun 14 17:57:17 2025 A5: 126000
  19. Sat Jun 14 17:57:17 2025 skew 3261034.89, size 1.349e-15, alpha -7.058, combined = 1.368e-12 rroots = 3
  20. Sat Jun 14 17:57:17 2025
  21. Sat Jun 14 17:57:17 2025 commencing relation filtering
  22. Sat Jun 14 17:57:17 2025 setting target matrix density to 120.0
  23. Sat Jun 14 17:57:17 2025 reversing signs of algebraic polynomial
  24. Sat Jun 14 17:57:17 2025 estimated available RAM is 257736.5 MB
  25. Sat Jun 14 17:57:17 2025 commencing duplicate removal, pass 1
  26. Sat Jun 14 17:57:23 2025 error -1 reading relation 2582009
  27. Sat Jun 14 17:57:23 2025 error -1 reading relation 2705582
  28. Sat Jun 14 17:57:34 2025 error -1 reading relation 8045900
  29. Sat Jun 14 17:58:05 2025 error -1 reading relation 22773452
  30. Sat Jun 14 17:58:43 2025 error -1 reading relation 40947370
  31. Sat Jun 14 17:58:56 2025 error -1 reading relation 46869205
  32. Sat Jun 14 17:59:24 2025 error -1 reading relation 60541405
  33. Sat Jun 14 17:59:25 2025 error -1 reading relation 60745611
  34. Sat Jun 14 18:00:18 2025 error -1 reading relation 85344824
  35. Sat Jun 14 18:00:18 2025 error -1 reading relation 85557768
  36. Sat Jun 14 18:00:26 2025 error -1 reading relation 89374967
  37. Sat Jun 14 18:00:28 2025 error -1 reading relation 90123688
  38. Sat Jun 14 18:00:30 2025 error -1 reading relation 91034307
  39. Sat Jun 14 18:00:39 2025 error -1 reading relation 94958455
  40. Sat Jun 14 18:01:04 2025 error -1 reading relation 106011145
  41. Sat Jun 14 18:01:13 2025 skipped 86 malformed relations
  42. Sat Jun 14 18:01:13 2025 found 18539208 hash collisions in 110048100 relations
  43. Sat Jun 14 18:01:41 2025 added 121890 free relations
  44. Sat Jun 14 18:01:41 2025 commencing duplicate removal, pass 2
  45. Sat Jun 14 18:04:15 2025 found 17078751 duplicates and 93091239 unique relations
  46. Sat Jun 14 18:04:15 2025 memory use: 660.8 MB
  47. Sat Jun 14 18:04:15 2025 reading ideals above 720000
  48. Sat Jun 14 18:04:15 2025 commencing singleton removal, initial pass
  49. Sat Jun 14 18:11:13 2025 memory use: 2756.0 MB
  50. Sat Jun 14 18:11:13 2025 reading all ideals from disk
  51. Sat Jun 14 18:11:15 2025 memory use: 4183.3 MB
  52. Sat Jun 14 18:11:28 2025 keeping 87983892 ideals with weight <= 200, target excess is 484705
  53. Sat Jun 14 18:11:43 2025 commencing in-memory singleton removal
  54. Sat Jun 14 18:11:45 2025 begin with 93091239 relations and 87983892 unique ideals
  55. Sat Jun 14 18:11:52 2025 reduce to 55816725 relations and 46453597 ideals in 13 passes
  56. Sat Jun 14 18:11:52 2025 max relations containing the same ideal: 151
  57. Sat Jun 14 18:12:16 2025 removing 5757383 relations and 4757383 ideals in 1000000 cliques
  58. Sat Jun 14 18:12:18 2025 commencing in-memory singleton removal
  59. Sat Jun 14 18:12:19 2025 begin with 50059342 relations and 46453597 unique ideals
  60. Sat Jun 14 18:12:22 2025 reduce to 49623749 relations and 41250822 ideals in 8 passes
  61. Sat Jun 14 18:12:22 2025 max relations containing the same ideal: 138
  62. Sat Jun 14 18:12:46 2025 removing 4373874 relations and 3373874 ideals in 1000000 cliques
  63. Sat Jun 14 18:12:48 2025 commencing in-memory singleton removal
  64. Sat Jun 14 18:12:49 2025 begin with 45249875 relations and 41250822 unique ideals
  65. Sat Jun 14 18:12:51 2025 reduce to 44955205 relations and 37576487 ideals in 8 passes
  66. Sat Jun 14 18:12:51 2025 max relations containing the same ideal: 130
  67. Sat Jun 14 18:13:10 2025 removing 3961853 relations and 2961853 ideals in 1000000 cliques
  68. Sat Jun 14 18:13:12 2025 commencing in-memory singleton removal
  69. Sat Jun 14 18:13:13 2025 begin with 40993352 relations and 37576487 unique ideals
  70. Sat Jun 14 18:13:16 2025 reduce to 40726855 relations and 34342531 ideals in 8 passes
  71. Sat Jun 14 18:13:16 2025 max relations containing the same ideal: 122
  72. Sat Jun 14 18:13:34 2025 removing 3754547 relations and 2754547 ideals in 1000000 cliques
  73. Sat Jun 14 18:13:36 2025 commencing in-memory singleton removal
  74. Sat Jun 14 18:13:37 2025 begin with 36972308 relations and 34342531 unique ideals
  75. Sat Jun 14 18:13:38 2025 reduce to 36714521 relations and 31324595 ideals in 7 passes
  76. Sat Jun 14 18:13:38 2025 max relations containing the same ideal: 115
  77. Sat Jun 14 18:13:57 2025 removing 3632918 relations and 2632918 ideals in 1000000 cliques
  78. Sat Jun 14 18:13:58 2025 commencing in-memory singleton removal
  79. Sat Jun 14 18:13:59 2025 begin with 33081603 relations and 31324595 unique ideals
  80. Sat Jun 14 18:14:00 2025 reduce to 32820674 relations and 28424577 ideals in 7 passes
  81. Sat Jun 14 18:14:00 2025 max relations containing the same ideal: 106
  82. Sat Jun 14 18:14:15 2025 removing 3555303 relations and 2555303 ideals in 1000000 cliques
  83. Sat Jun 14 18:14:17 2025 commencing in-memory singleton removal
  84. Sat Jun 14 18:14:17 2025 begin with 29265371 relations and 28424577 unique ideals
  85. Sat Jun 14 18:14:19 2025 reduce to 28992363 relations and 25589088 ideals in 7 passes
  86. Sat Jun 14 18:14:19 2025 max relations containing the same ideal: 97
  87. Sat Jun 14 18:14:32 2025 removing 3504493 relations and 2504493 ideals in 1000000 cliques
  88. Sat Jun 14 18:14:33 2025 commencing in-memory singleton removal
  89. Sat Jun 14 18:14:34 2025 begin with 25487870 relations and 25589088 unique ideals
  90. Sat Jun 14 18:14:35 2025 reduce to 25192913 relations and 22781068 ideals in 8 passes
  91. Sat Jun 14 18:14:35 2025 max relations containing the same ideal: 91
  92. Sat Jun 14 18:14:47 2025 removing 3475672 relations and 2475672 ideals in 1000000 cliques
  93. Sat Jun 14 18:14:48 2025 commencing in-memory singleton removal
  94. Sat Jun 14 18:14:49 2025 begin with 21717241 relations and 22781068 unique ideals
  95. Sat Jun 14 18:14:50 2025 reduce to 21388687 relations and 19965932 ideals in 8 passes
  96. Sat Jun 14 18:14:50 2025 max relations containing the same ideal: 80
  97. Sat Jun 14 18:15:00 2025 removing 3066697 relations and 2206200 ideals in 860497 cliques
  98. Sat Jun 14 18:15:01 2025 commencing in-memory singleton removal
  99. Sat Jun 14 18:15:01 2025 begin with 18321990 relations and 19965932 unique ideals
  100. Sat Jun 14 18:15:02 2025 reduce to 18026443 relations and 17454091 ideals in 8 passes
  101. Sat Jun 14 18:15:02 2025 max relations containing the same ideal: 73
  102. Sat Jun 14 18:15:11 2025 removing 74798 relations and 64704 ideals in 10094 cliques
  103. Sat Jun 14 18:15:12 2025 commencing in-memory singleton removal
  104. Sat Jun 14 18:15:12 2025 begin with 17951645 relations and 17454091 unique ideals
  105. Sat Jun 14 18:15:13 2025 reduce to 17951507 relations and 17389249 ideals in 4 passes
  106. Sat Jun 14 18:15:13 2025 max relations containing the same ideal: 72
  107. Sat Jun 14 18:15:15 2025 relations with 0 large ideals: 1548
  108. Sat Jun 14 18:15:15 2025 relations with 1 large ideals: 8274
  109. Sat Jun 14 18:15:15 2025 relations with 2 large ideals: 114238
  110. Sat Jun 14 18:15:15 2025 relations with 3 large ideals: 695847
  111. Sat Jun 14 18:15:15 2025 relations with 4 large ideals: 2250741
  112. Sat Jun 14 18:15:15 2025 relations with 5 large ideals: 4261079
  113. Sat Jun 14 18:15:15 2025 relations with 6 large ideals: 4975962
  114. Sat Jun 14 18:15:15 2025 relations with 7+ large ideals: 5643818
  115. Sat Jun 14 18:15:15 2025 commencing 2-way merge
  116. Sat Jun 14 18:15:26 2025 reduce to 11528707 relation sets and 10966449 unique ideals
  117. Sat Jun 14 18:15:26 2025 commencing full merge
  118. Sat Jun 14 18:21:04 2025 memory use: 1426.8 MB
  119. Sat Jun 14 18:21:06 2025 found 5250810 cycles, need 5206649
  120. Sat Jun 14 18:21:08 2025 weight of 5206649 cycles is about 625436979 (120.12/cycle)
  121. Sat Jun 14 18:21:08 2025 distribution of cycle lengths:
  122. Sat Jun 14 18:21:08 2025 1 relations: 183429
  123. Sat Jun 14 18:21:08 2025 2 relations: 322506
  124. Sat Jun 14 18:21:08 2025 3 relations: 381243
  125. Sat Jun 14 18:21:08 2025 4 relations: 394046
  126. Sat Jun 14 18:21:08 2025 5 relations: 403555
  127. Sat Jun 14 18:21:08 2025 6 relations: 395710
  128. Sat Jun 14 18:21:08 2025 7 relations: 388251
  129. Sat Jun 14 18:21:08 2025 8 relations: 366763
  130. Sat Jun 14 18:21:08 2025 9 relations: 344690
  131. Sat Jun 14 18:21:08 2025 10+ relations: 2026456
  132. Sat Jun 14 18:21:08 2025 heaviest cycle: 28 relations
  133. Sat Jun 14 18:21:10 2025 commencing cycle optimization
  134. Sat Jun 14 18:21:24 2025 start with 45374382 relations
  135. Sat Jun 14 18:23:31 2025 pruned 2094355 relations
  136. Sat Jun 14 18:23:31 2025 memory use: 1209.5 MB
  137. Sat Jun 14 18:23:31 2025 distribution of cycle lengths:
  138. Sat Jun 14 18:23:31 2025 1 relations: 183429
  139. Sat Jun 14 18:23:31 2025 2 relations: 331908
  140. Sat Jun 14 18:23:31 2025 3 relations: 399392
  141. Sat Jun 14 18:23:31 2025 4 relations: 412032
  142. Sat Jun 14 18:23:31 2025 5 relations: 423954
  143. Sat Jun 14 18:23:31 2025 6 relations: 415183
  144. Sat Jun 14 18:23:31 2025 7 relations: 409137
  145. Sat Jun 14 18:23:31 2025 8 relations: 384098
  146. Sat Jun 14 18:23:31 2025 9 relations: 359599
  147. Sat Jun 14 18:23:31 2025 10+ relations: 1887917
  148. Sat Jun 14 18:23:31 2025 heaviest cycle: 27 relations
  149. Sat Jun 14 18:23:41 2025 RelProcTime: 1584
  150. Sat Jun 14 18:23:41 2025
  151. Sat Jun 14 18:23:41 2025 commencing linear algebra
  152. Sat Jun 14 18:23:41 2025 using VBITS=256
  153. Sat Jun 14 18:23:41 2025 stopping after matrix build
  154. Sat Jun 14 18:23:41 2025 initialized process (0,0) of 1 x 1 grid
  155. Sat Jun 14 18:23:41 2025 reversing signs of algebraic polynomial
  156. Sat Jun 14 18:23:42 2025 read 5206649 cycles
  157. Sat Jun 14 18:23:52 2025 cycles contain 17635840 unique relations
  158. Sat Jun 14 18:25:50 2025 read 17635840 relations
  159. Sat Jun 14 18:25:52 2025 using 20 quadratic characters above 4294917295
  160. Sat Jun 14 18:25:55 2025 building initial matrix
  161. Sat Jun 14 18:30:36 2025 memory use: 2491.2 MB
  162. Sat Jun 14 18:30:40 2025 read 5206649 cycles
  163. Sat Jun 14 18:30:41 2025 matrix is 5206472 x 5206649 (2458.0 MB) with weight 755077127 (145.02/col)
  164. Sat Jun 14 18:30:41 2025 sparse part has weight 581860092 (111.75/col)
  165. Sat Jun 14 18:32:06 2025 filtering completed in 2 passes
  166. Sat Jun 14 18:32:08 2025 matrix is 5206283 x 5206458 (2457.9 MB) with weight 755067261 (145.03/col)
  167. Sat Jun 14 18:32:08 2025 sparse part has weight 581856844 (111.76/col)
  168. Sat Jun 14 18:32:42 2025 BLanczosTime: 541
  169. Sat Jun 14 18:32:42 2025 elapsed time 00:35:26
  170. Sat Jun 14 19:33:49 2025
  171. Sat Jun 14 19:33:49 2025
  172. Sat Jun 14 19:33:49 2025 Msieve v. 1.54 (SVN Unversioned directory)
  173. Sat Jun 14 19:33:49 2025 random seeds: 5af1199c ecb123e0
  174. Sat Jun 14 19:33:49 2025 MPI process 0 of 1
  175. Sat Jun 14 19:33:49 2025 Using 64 OpenMP threads
  176. Sat Jun 14 19:33:49 2025 factoring 36364189452832778187233280411364527060214110332607025997351699136917048545509048743133274217544142742430198125268502131058014239361364122209062524859233288834911 (161 digits)
  177. Sat Jun 14 19:33:50 2025 searching for 15-digit factors
  178. Sat Jun 14 19:33:50 2025 commencing number field sieve (161-digit input)
  179. Sat Jun 14 19:33:50 2025 reversing signs of algebraic polynomial
  180. Sat Jun 14 19:33:50 2025 R0: -7402567154423777735324718350461
  181. Sat Jun 14 19:33:50 2025 R1: 1506653947667805220931779
  182. Sat Jun 14 19:33:50 2025 A0: 6713107576659869810207231949823770480
  183. Sat Jun 14 19:33:50 2025 A1: -147191328563641610884241874189286
  184. Sat Jun 14 19:33:50 2025 A2: -89625676552129129521099144
  185. Sat Jun 14 19:33:50 2025 A3: 40405342365222267659
  186. Sat Jun 14 19:33:50 2025 A4: 4137097686226
  187. Sat Jun 14 19:33:50 2025 A5: 126000
  188. Sat Jun 14 19:33:50 2025 skew 3261034.89, size 1.349e-15, alpha -7.058, combined = 1.368e-12 rroots = 3
  189. Sat Jun 14 19:33:50 2025
  190. Sat Jun 14 19:33:50 2025 commencing linear algebra
  191. Sat Jun 14 19:33:50 2025 using VBITS=256
  192. Sat Jun 14 19:33:50 2025 skipping matrix build
  193. Sat Jun 14 19:33:50 2025 initialized process (0,0) of 1 x 1 grid
  194. Sat Jun 14 19:33:54 2025 matrix starts at (0, 0)
  195. Sat Jun 14 19:33:55 2025 matrix is 5206283 x 5206458 (2457.9 MB) with weight 755067261 (145.03/col)
  196. Sat Jun 14 19:33:55 2025 sparse part has weight 581856844 (111.76/col)
  197. Sat Jun 14 19:33:55 2025 saving the first 240 matrix rows for later
  198. Sat Jun 14 19:33:57 2025 matrix includes 256 packed rows
  199. Sat Jun 14 19:33:59 2025 matrix is 5206043 x 5206458 (2192.8 MB) with weight 527049629 (101.23/col)
  200. Sat Jun 14 19:33:59 2025 sparse part has weight 491537551 (94.41/col)
  201. Sat Jun 14 19:33:59 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  202. Sat Jun 14 19:34:11 2025 commencing Lanczos iteration (64 threads)
  203. Sat Jun 14 19:34:11 2025 memory use: 3169.1 MB
  204. Sat Jun 14 19:34:56 2025 linear algebra at 0.6%, ETA 2h 3m
  205. Sat Jun 14 19:35:59 2025 checking every 40000 dimensions, checkpointing every 2600000 dimensions
  206. Sat Jun 14 21:33:51 2025 lanczos halted after 20398 iterations (dim = 5206042)
  207. Sat Jun 14 21:34:11 2025 recovered 31 nontrivial dependencies
  208. Sat Jun 14 21:34:12 2025 BLanczosTime: 7222
  209. Sat Jun 14 21:34:12 2025
  210. Sat Jun 14 21:34:12 2025 commencing square root phase
  211. Sat Jun 14 21:34:12 2025 reversing signs of algebraic polynomial
  212. Sat Jun 14 21:34:12 2025 handling dependencies 1 to 64
  213. Sat Jun 14 21:34:12 2025 reading relations for dependency 1
  214. Sat Jun 14 21:34:12 2025 read 2601587 cycles
  215. Sat Jun 14 21:34:16 2025 cycles contain 8816174 unique relations
  216. Sat Jun 14 21:35:47 2025 read 8816174 relations
  217. Sat Jun 14 21:36:17 2025 multiplying 8816174 relations
  218. Sat Jun 14 21:37:44 2025 multiply complete, coefficients have about 476.13 million bits
  219. Sat Jun 14 21:37:46 2025 initial square root is modulo 349310161
  220. Sat Jun 14 21:41:45 2025 sqrtTime: 453
  221. Sat Jun 14 21:41:45 2025 p57 factor: 478952516776021197008769013715598909330702155189656104769
  222. Sat Jun 14 21:41:45 2025 p104 factor: 75924414590430553442540670045502677971321253895704346818655640630246467130064596715535971001907481474719
  223. Sat Jun 14 21:41:45 2025 elapsed time 02:07:56
  224.  
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