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Jan 11th, 2025
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  1. Wed Jan 8 16:21:10 2025
  2. Wed Jan 8 16:21:10 2025
  3. Wed Jan 8 16:21:10 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jan 8 16:21:10 2025 random seeds: d7e19667 0972a666
  5. Wed Jan 8 16:21:10 2025 MPI process 0 of 1
  6. Wed Jan 8 16:21:10 2025 Using 32 OpenMP threads
  7. Wed Jan 8 16:21:10 2025 factoring 8719962413303485938968141554958014337212082576336971754102681026781966778309143061940462970783611044959326108353283103064435780689445732892263470428452393948073146899 (166 digits)
  8. Wed Jan 8 16:21:10 2025 searching for 15-digit factors
  9. Wed Jan 8 16:21:11 2025 commencing number field sieve (166-digit input)
  10. Wed Jan 8 16:21:11 2025 R0: -112209146715161461003663607541220
  11. Wed Jan 8 16:21:11 2025 R1: 399887930313110141
  12. Wed Jan 8 16:21:11 2025 A0: 117861795075050101599932351364058817922939
  13. Wed Jan 8 16:21:11 2025 A1: 60642524037472388682964062078401653
  14. Wed Jan 8 16:21:11 2025 A2: -56512459015985856556982454
  15. Wed Jan 8 16:21:11 2025 A3: -449827365573916409133
  16. Wed Jan 8 16:21:11 2025 A4: 2185431107075
  17. Wed Jan 8 16:21:11 2025 A5: 490200
  18. Wed Jan 8 16:21:11 2025 skew 17898216.43, size 3.107e-16, alpha -7.544, combined = 5.610e-13 rroots = 5
  19. Wed Jan 8 16:21:11 2025
  20. Wed Jan 8 16:21:11 2025 commencing relation filtering
  21. Wed Jan 8 16:21:11 2025 setting target matrix density to 120.0
  22. Wed Jan 8 16:21:11 2025 estimated available RAM is 257736.5 MB
  23. Wed Jan 8 16:21:11 2025 commencing duplicate removal, pass 1
  24. Wed Jan 8 16:22:16 2025 error -1 reading relation 23677687
  25. Wed Jan 8 16:25:06 2025 error -1 reading relation 93130596
  26. Wed Jan 8 16:26:29 2025 error -1 reading relation 124115186
  27. Wed Jan 8 16:26:30 2025 error -1 reading relation 124381933
  28. Wed Jan 8 16:27:29 2025 error -1 reading relation 146016775
  29. Wed Jan 8 16:28:15 2025 error -1 reading relation 164702575
  30. Wed Jan 8 16:28:24 2025 error -11 reading relation 168768667
  31. Wed Jan 8 16:28:46 2025 error -1 reading relation 178032041
  32. Wed Jan 8 16:29:25 2025 error -1 reading relation 193170237
  33. Wed Jan 8 16:30:07 2025 error -1 reading relation 212511725
  34. Wed Jan 8 16:30:56 2025 error -1 reading relation 237027340
  35. Wed Jan 8 16:31:09 2025 error -1 reading relation 241510635
  36. Wed Jan 8 16:31:30 2025 error -1 reading relation 249174634
  37. Wed Jan 8 16:31:30 2025 error -15 reading relation 249183337
  38. Wed Jan 8 16:32:25 2025 error -1 reading relation 270440170
  39. Wed Jan 8 16:32:28 2025 error -1 reading relation 271803845
  40. Wed Jan 8 16:32:42 2025 error -1 reading relation 278385009
  41. Wed Jan 8 16:33:12 2025 skipped 1 relations with composite factors
  42. Wed Jan 8 16:33:12 2025 skipped 174 malformed relations
  43. Wed Jan 8 16:33:12 2025 found 58719533 hash collisions in 291913030 relations
  44. Wed Jan 8 16:33:44 2025 commencing duplicate removal, pass 2
  45. Wed Jan 8 16:41:49 2025 found 62569078 duplicates and 229343952 unique relations
  46. Wed Jan 8 16:41:49 2025 memory use: 1705.5 MB
  47. Wed Jan 8 16:41:50 2025 reading ideals above 720000
  48. Wed Jan 8 16:41:50 2025 commencing singleton removal, initial pass
  49. Wed Jan 8 17:03:52 2025 memory use: 6024.0 MB
  50. Wed Jan 8 17:03:53 2025 reading all ideals from disk
  51. Wed Jan 8 17:03:59 2025 memory use: 10533.9 MB
  52. Wed Jan 8 17:04:37 2025 keeping 224991270 ideals with weight <= 200, target excess is 1118850
  53. Wed Jan 8 17:05:26 2025 commencing in-memory singleton removal
  54. Wed Jan 8 17:05:30 2025 begin with 229343952 relations and 224991270 unique ideals
  55. Wed Jan 8 17:05:46 2025 reduce to 120097362 relations and 101613261 ideals in 15 passes
  56. Wed Jan 8 17:05:46 2025 max relations containing the same ideal: 137
  57. Wed Jan 8 17:07:03 2025 removing 12513543 relations and 10513543 ideals in 2000000 cliques
  58. Wed Jan 8 17:07:10 2025 commencing in-memory singleton removal
  59. Wed Jan 8 17:07:12 2025 begin with 107583819 relations and 101613261 unique ideals
  60. Wed Jan 8 17:07:19 2025 reduce to 106570695 relations and 90064697 ideals in 9 passes
  61. Wed Jan 8 17:07:19 2025 max relations containing the same ideal: 126
  62. Wed Jan 8 17:08:29 2025 removing 9538103 relations and 7538103 ideals in 2000000 cliques
  63. Wed Jan 8 17:08:35 2025 commencing in-memory singleton removal
  64. Wed Jan 8 17:08:36 2025 begin with 97032592 relations and 90064697 unique ideals
  65. Wed Jan 8 17:08:43 2025 reduce to 96335719 relations and 81816513 ideals in 9 passes
  66. Wed Jan 8 17:08:43 2025 max relations containing the same ideal: 119
  67. Wed Jan 8 17:09:48 2025 removing 8659883 relations and 6659883 ideals in 2000000 cliques
  68. Wed Jan 8 17:09:54 2025 commencing in-memory singleton removal
  69. Wed Jan 8 17:09:55 2025 begin with 87675836 relations and 81816513 unique ideals
  70. Wed Jan 8 17:10:01 2025 reduce to 87035785 relations and 74503876 ideals in 8 passes
  71. Wed Jan 8 17:10:01 2025 max relations containing the same ideal: 109
  72. Wed Jan 8 17:11:02 2025 removing 8232433 relations and 6232433 ideals in 2000000 cliques
  73. Wed Jan 8 17:11:06 2025 commencing in-memory singleton removal
  74. Wed Jan 8 17:11:08 2025 begin with 78803352 relations and 74503876 unique ideals
  75. Wed Jan 8 17:11:13 2025 reduce to 78164485 relations and 67619075 ideals in 9 passes
  76. Wed Jan 8 17:11:13 2025 max relations containing the same ideal: 102
  77. Wed Jan 8 17:12:08 2025 removing 7999906 relations and 5999906 ideals in 2000000 cliques
  78. Wed Jan 8 17:12:12 2025 commencing in-memory singleton removal
  79. Wed Jan 8 17:12:14 2025 begin with 70164579 relations and 67619075 unique ideals
  80. Wed Jan 8 17:12:18 2025 reduce to 69495456 relations and 60934616 ideals in 9 passes
  81. Wed Jan 8 17:12:18 2025 max relations containing the same ideal: 95
  82. Wed Jan 8 17:12:50 2025 removing 7880776 relations and 5880776 ideals in 2000000 cliques
  83. Wed Jan 8 17:12:53 2025 commencing in-memory singleton removal
  84. Wed Jan 8 17:12:54 2025 begin with 61614680 relations and 60934616 unique ideals
  85. Wed Jan 8 17:12:58 2025 reduce to 60885251 relations and 54305883 ideals in 10 passes
  86. Wed Jan 8 17:12:58 2025 max relations containing the same ideal: 89
  87. Wed Jan 8 17:13:24 2025 removing 7847357 relations and 5847357 ideals in 2000000 cliques
  88. Wed Jan 8 17:13:27 2025 commencing in-memory singleton removal
  89. Wed Jan 8 17:13:28 2025 begin with 53037894 relations and 54305883 unique ideals
  90. Wed Jan 8 17:13:31 2025 reduce to 52204093 relations and 47600690 ideals in 9 passes
  91. Wed Jan 8 17:13:31 2025 max relations containing the same ideal: 78
  92. Wed Jan 8 17:13:52 2025 removing 7896935 relations and 5896935 ideals in 2000000 cliques
  93. Wed Jan 8 17:13:55 2025 commencing in-memory singleton removal
  94. Wed Jan 8 17:13:56 2025 begin with 44307158 relations and 47600690 unique ideals
  95. Wed Jan 8 17:14:00 2025 reduce to 43304279 relations and 40667485 ideals in 10 passes
  96. Wed Jan 8 17:14:00 2025 max relations containing the same ideal: 70
  97. Wed Jan 8 17:14:30 2025 removing 5912876 relations and 4573949 ideals in 1338927 cliques
  98. Wed Jan 8 17:14:34 2025 commencing in-memory singleton removal
  99. Wed Jan 8 17:14:34 2025 begin with 37391403 relations and 40667485 unique ideals
  100. Wed Jan 8 17:14:37 2025 reduce to 36728393 relations and 35412049 ideals in 9 passes
  101. Wed Jan 8 17:14:37 2025 max relations containing the same ideal: 63
  102. Wed Jan 8 17:15:02 2025 removing 175165 relations and 156688 ideals in 18477 cliques
  103. Wed Jan 8 17:15:03 2025 commencing in-memory singleton removal
  104. Wed Jan 8 17:15:04 2025 begin with 36553228 relations and 35412049 unique ideals
  105. Wed Jan 8 17:15:05 2025 reduce to 36552765 relations and 35254898 ideals in 5 passes
  106. Wed Jan 8 17:15:05 2025 max relations containing the same ideal: 63
  107. Wed Jan 8 17:15:11 2025 relations with 0 large ideals: 4005
  108. Wed Jan 8 17:15:11 2025 relations with 1 large ideals: 38760
  109. Wed Jan 8 17:15:11 2025 relations with 2 large ideals: 479930
  110. Wed Jan 8 17:15:11 2025 relations with 3 large ideals: 2446413
  111. Wed Jan 8 17:15:11 2025 relations with 4 large ideals: 6559498
  112. Wed Jan 8 17:15:11 2025 relations with 5 large ideals: 10156488
  113. Wed Jan 8 17:15:11 2025 relations with 6 large ideals: 9487713
  114. Wed Jan 8 17:15:11 2025 relations with 7+ large ideals: 7379958
  115. Wed Jan 8 17:15:11 2025 commencing 2-way merge
  116. Wed Jan 8 17:15:43 2025 reduce to 21713171 relation sets and 20415304 unique ideals
  117. Wed Jan 8 17:15:43 2025 commencing full merge
  118. Wed Jan 8 17:27:19 2025 memory use: 2422.2 MB
  119. Wed Jan 8 17:27:22 2025 found 9454885 cycles, need 9393504
  120. Wed Jan 8 17:27:27 2025 weight of 9393504 cycles is about 1127717207 (120.05/cycle)
  121. Wed Jan 8 17:27:27 2025 distribution of cycle lengths:
  122. Wed Jan 8 17:27:27 2025 1 relations: 684027
  123. Wed Jan 8 17:27:27 2025 2 relations: 653436
  124. Wed Jan 8 17:27:27 2025 3 relations: 660197
  125. Wed Jan 8 17:27:27 2025 4 relations: 640739
  126. Wed Jan 8 17:27:27 2025 5 relations: 644329
  127. Wed Jan 8 17:27:27 2025 6 relations: 618244
  128. Wed Jan 8 17:27:27 2025 7 relations: 607832
  129. Wed Jan 8 17:27:27 2025 8 relations: 576427
  130. Wed Jan 8 17:27:27 2025 9 relations: 550923
  131. Wed Jan 8 17:27:27 2025 10+ relations: 3757350
  132. Wed Jan 8 17:27:27 2025 heaviest cycle: 28 relations
  133. Wed Jan 8 17:27:31 2025 commencing cycle optimization
  134. Wed Jan 8 17:28:07 2025 start with 82749100 relations
  135. Wed Jan 8 17:32:59 2025 pruned 3185956 relations
  136. Wed Jan 8 17:32:59 2025 memory use: 2320.5 MB
  137. Wed Jan 8 17:32:59 2025 distribution of cycle lengths:
  138. Wed Jan 8 17:32:59 2025 1 relations: 684027
  139. Wed Jan 8 17:32:59 2025 2 relations: 669357
  140. Wed Jan 8 17:32:59 2025 3 relations: 685396
  141. Wed Jan 8 17:32:59 2025 4 relations: 662857
  142. Wed Jan 8 17:32:59 2025 5 relations: 669983
  143. Wed Jan 8 17:32:59 2025 6 relations: 643000
  144. Wed Jan 8 17:32:59 2025 7 relations: 632737
  145. Wed Jan 8 17:32:59 2025 8 relations: 599016
  146. Wed Jan 8 17:32:59 2025 9 relations: 571210
  147. Wed Jan 8 17:32:59 2025 10+ relations: 3575921
  148. Wed Jan 8 17:32:59 2025 heaviest cycle: 28 relations
  149. Wed Jan 8 17:33:12 2025 RelProcTime: 4321
  150. Wed Jan 8 17:33:14 2025
  151. Wed Jan 8 17:33:14 2025 commencing linear algebra
  152. Wed Jan 8 17:33:14 2025 using VBITS=256
  153. Wed Jan 8 17:33:14 2025 stopping after matrix build
  154. Wed Jan 8 17:33:14 2025 initialized process (0,0) of 1 x 1 grid
  155. Wed Jan 8 17:33:15 2025 read 9393504 cycles
  156. Wed Jan 8 17:33:30 2025 cycles contain 35600503 unique relations
  157. Wed Jan 8 17:39:08 2025 read 35600503 relations
  158. Wed Jan 8 17:39:12 2025 using 20 quadratic characters above 4294917295
  159. Wed Jan 8 17:39:18 2025 building initial matrix
  160. Wed Jan 8 17:50:02 2025 memory use: 4770.5 MB
  161. Wed Jan 8 17:50:13 2025 read 9393504 cycles
  162. Wed Jan 8 17:50:16 2025 matrix is 9393324 x 9393504 (4451.8 MB) with weight 1358546931 (144.63/col)
  163. Wed Jan 8 17:50:16 2025 sparse part has weight 1054299089 (112.24/col)
  164. Wed Jan 8 17:53:39 2025 filtering completed in 2 passes
  165. Wed Jan 8 17:53:43 2025 matrix is 9392274 x 9392452 (4451.7 MB) with weight 1358487969 (144.64/col)
  166. Wed Jan 8 17:53:43 2025 sparse part has weight 1054277523 (112.25/col)
  167. Wed Jan 8 17:54:46 2025 BLanczosTime: 1292
  168. Wed Jan 8 17:54:46 2025 elapsed time 01:33:36
  169. Fri Jan 10 12:34:46 2025
  170. Fri Jan 10 12:34:46 2025
  171. Fri Jan 10 12:34:46 2025 Msieve v. 1.54 (SVN Unversioned directory)
  172. Fri Jan 10 12:34:46 2025 random seeds: 7dce8696 906ecb76
  173. Fri Jan 10 12:34:46 2025 Using 96 OpenMP threads
  174. Fri Jan 10 12:34:46 2025 factoring 8719962413303485938968141554958014337212082576336971754102681026781966778309143061940462970783611044959326108353283103064435780689445732892263470428452393948073146899 (166 digits)
  175. Fri Jan 10 12:34:47 2025 searching for 15-digit factors
  176. Fri Jan 10 12:34:47 2025 commencing number field sieve (166-digit input)
  177. Fri Jan 10 12:34:47 2025 R0: -112209146715161461003663607541220
  178. Fri Jan 10 12:34:47 2025 R1: 399887930313110141
  179. Fri Jan 10 12:34:47 2025 A0: 117861795075050101599932351364058817922939
  180. Fri Jan 10 12:34:47 2025 A1: 60642524037472388682964062078401653
  181. Fri Jan 10 12:34:47 2025 A2: -56512459015985856556982454
  182. Fri Jan 10 12:34:47 2025 A3: -449827365573916409133
  183. Fri Jan 10 12:34:47 2025 A4: 2185431107075
  184. Fri Jan 10 12:34:47 2025 A5: 490200
  185. Fri Jan 10 12:34:47 2025 skew 17898216.43, size 3.107e-16, alpha -7.544, combined = 5.610e-13 rroots = 5
  186. Fri Jan 10 12:34:47 2025
  187. Fri Jan 10 12:34:47 2025 commencing linear algebra
  188. Fri Jan 10 12:34:47 2025 using VBITS=256
  189. Fri Jan 10 12:34:47 2025 skipping matrix build
  190. Fri Jan 10 12:34:49 2025 matrix starts at (0, 0)
  191. Fri Jan 10 12:34:50 2025 matrix is 9392274 x 9392452 (4451.7 MB) with weight 1358487969 (144.64/col)
  192. Fri Jan 10 12:34:50 2025 sparse part has weight 1054277523 (112.25/col)
  193. Fri Jan 10 12:34:50 2025 saving the first 240 matrix rows for later
  194. Fri Jan 10 12:34:52 2025 matrix includes 256 packed rows
  195. Fri Jan 10 12:34:55 2025 matrix is 9392034 x 9392452 (4001.3 MB) with weight 961240897 (102.34/col)
  196. Fri Jan 10 12:34:55 2025 sparse part has weight 898639460 (95.68/col)
  197. Fri Jan 10 12:34:55 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  198. Fri Jan 10 12:35:14 2025 commencing Lanczos iteration (96 threads)
  199. Fri Jan 10 12:35:14 2025 memory use: 5496.4 MB
  200. Fri Jan 10 12:37:54 2025 linear algebra at 0.3%, ETA 13h24m
  201. Fri Jan 10 12:39:27 2025 checking every 10000 dimensions, checkpointing every 1110000 dimensions
  202. Fri Jan 10 17:48:58 2025 lanczos halted after 36799 iterations (dim = 9392033)
  203. Fri Jan 10 17:49:37 2025 recovered 29 nontrivial dependencies
  204. Fri Jan 10 17:49:38 2025 BLanczosTime: 18891
  205. Fri Jan 10 17:49:38 2025
  206. Fri Jan 10 17:49:38 2025 commencing square root phase
  207. Fri Jan 10 17:49:38 2025 handling dependencies 1 to 64
  208. Fri Jan 10 17:49:38 2025 reading relations for dependency 1
  209. Fri Jan 10 17:49:39 2025 read 4697207 cycles
  210. Fri Jan 10 17:49:46 2025 cycles contain 17799850 unique relations
  211. Fri Jan 10 17:53:48 2025 read 17799850 relations
  212. Fri Jan 10 17:54:42 2025 multiplying 17799850 relations
  213. Fri Jan 10 18:02:16 2025 multiply complete, coefficients have about 989.84 million bits
  214. Fri Jan 10 18:02:19 2025 initial square root is modulo 759141563
  215. Fri Jan 10 18:07:45 2025 sqrtTime: 1087
  216. Fri Jan 10 18:07:45 2025 p71 factor: 33046385092839039214547181190615247813659496551934809215115818314483231
  217. Fri Jan 10 18:07:45 2025 p96 factor: 263870386694520830677176744276874297971456896919363522878899644783846636735604466646505206777229
  218. Fri Jan 10 18:07:45 2025 elapsed time 05:32:59
  219.  
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