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Dec 10th, 2025
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  1. Tue Dec 9 23:44:46 2025
  2. Tue Dec 9 23:44:46 2025
  3. Tue Dec 9 23:44:46 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 9 23:44:46 2025 random seeds: 4783537f bd1ce603
  5. Tue Dec 9 23:44:46 2025 MPI process 0 of 1
  6. Tue Dec 9 23:44:46 2025 Using 32 OpenMP threads
  7. Tue Dec 9 23:44:46 2025 factoring 927521217456244434287848715347786523109246593819843839570931656932422357441037417186183251557310111118864071054386892335422484623769434693408748518308201765245258903 (165 digits)
  8. Tue Dec 9 23:44:47 2025 searching for 15-digit factors
  9. Tue Dec 9 23:44:47 2025 commencing number field sieve (165-digit input)
  10. Tue Dec 9 23:44:47 2025 R0: -74379312427165860641752150449932
  11. Tue Dec 9 23:44:47 2025 R1: 3574572383804657095102177
  12. Tue Dec 9 23:44:47 2025 A0: -41096122268381343578292577681342366950
  13. Tue Dec 9 23:44:47 2025 A1: 231717521703923003108975012218895
  14. Tue Dec 9 23:44:47 2025 A2: -65948853044628209801282042
  15. Tue Dec 9 23:44:47 2025 A3: -54342557951325548745
  16. Tue Dec 9 23:44:47 2025 A4: 817440970710
  17. Tue Dec 9 23:44:47 2025 A5: 907200
  18. Tue Dec 9 23:44:47 2025 skew 3788092.41, size 5.387e-16, alpha -6.561, combined = 8.060e-13 rroots = 5
  19. Tue Dec 9 23:44:47 2025
  20. Tue Dec 9 23:44:47 2025 commencing relation filtering
  21. Tue Dec 9 23:44:47 2025 setting target matrix density to 120.0
  22. Tue Dec 9 23:44:47 2025 estimated available RAM is 257736.5 MB
  23. Tue Dec 9 23:44:47 2025 commencing duplicate removal, pass 1
  24. Tue Dec 9 23:55:38 2025 skipped 172 malformed relations
  25. Tue Dec 9 23:55:38 2025 found 46251382 hash collisions in 268341853 relations
  26. Tue Dec 9 23:56:12 2025 commencing duplicate removal, pass 2
  27. Wed Dec 10 00:03:53 2025 found 47080107 duplicates and 221261746 unique relations
  28. Wed Dec 10 00:03:53 2025 memory use: 1577.5 MB
  29. Wed Dec 10 00:03:54 2025 reading ideals above 720000
  30. Wed Dec 10 00:03:54 2025 commencing singleton removal, initial pass
  31. Wed Dec 10 00:26:38 2025 memory use: 6024.0 MB
  32. Wed Dec 10 00:26:39 2025 reading all ideals from disk
  33. Wed Dec 10 00:26:45 2025 memory use: 10107.7 MB
  34. Wed Dec 10 00:27:31 2025 keeping 220443857 ideals with weight <= 200, target excess is 1088970
  35. Wed Dec 10 00:28:26 2025 commencing in-memory singleton removal
  36. Wed Dec 10 00:28:31 2025 begin with 221261746 relations and 220443857 unique ideals
  37. Wed Dec 10 00:28:56 2025 reduce to 109916580 relations and 93848427 ideals in 20 passes
  38. Wed Dec 10 00:28:56 2025 max relations containing the same ideal: 135
  39. Wed Dec 10 00:30:05 2025 removing 12799686 relations and 10799686 ideals in 2000000 cliques
  40. Wed Dec 10 00:30:12 2025 commencing in-memory singleton removal
  41. Wed Dec 10 00:30:14 2025 begin with 97116894 relations and 93848427 unique ideals
  42. Wed Dec 10 00:30:23 2025 reduce to 95934128 relations and 81837950 ideals in 10 passes
  43. Wed Dec 10 00:30:23 2025 max relations containing the same ideal: 126
  44. Wed Dec 10 00:31:23 2025 removing 9746904 relations and 7746904 ideals in 2000000 cliques
  45. Wed Dec 10 00:31:29 2025 commencing in-memory singleton removal
  46. Wed Dec 10 00:31:31 2025 begin with 86187224 relations and 81837950 unique ideals
  47. Wed Dec 10 00:31:38 2025 reduce to 85368890 relations and 73255320 ideals in 9 passes
  48. Wed Dec 10 00:31:38 2025 max relations containing the same ideal: 115
  49. Wed Dec 10 00:32:41 2025 removing 8842490 relations and 6842490 ideals in 2000000 cliques
  50. Wed Dec 10 00:32:49 2025 commencing in-memory singleton removal
  51. Wed Dec 10 00:32:51 2025 begin with 76526400 relations and 73255320 unique ideals
  52. Wed Dec 10 00:32:57 2025 reduce to 75763034 relations and 65632283 ideals in 10 passes
  53. Wed Dec 10 00:32:57 2025 max relations containing the same ideal: 108
  54. Wed Dec 10 00:33:47 2025 removing 8411065 relations and 6411065 ideals in 2000000 cliques
  55. Wed Dec 10 00:33:52 2025 commencing in-memory singleton removal
  56. Wed Dec 10 00:33:54 2025 begin with 67351969 relations and 65632283 unique ideals
  57. Wed Dec 10 00:33:59 2025 reduce to 66577276 relations and 58427523 ideals in 9 passes
  58. Wed Dec 10 00:33:59 2025 max relations containing the same ideal: 96
  59. Wed Dec 10 00:34:39 2025 removing 8187870 relations and 6187870 ideals in 2000000 cliques
  60. Wed Dec 10 00:34:43 2025 commencing in-memory singleton removal
  61. Wed Dec 10 00:34:45 2025 begin with 58389406 relations and 58427523 unique ideals
  62. Wed Dec 10 00:34:49 2025 reduce to 57551654 relations and 51379202 ideals in 9 passes
  63. Wed Dec 10 00:34:49 2025 max relations containing the same ideal: 84
  64. Wed Dec 10 00:35:27 2025 removing 8095592 relations and 6095592 ideals in 2000000 cliques
  65. Wed Dec 10 00:35:31 2025 commencing in-memory singleton removal
  66. Wed Dec 10 00:35:32 2025 begin with 49456062 relations and 51379202 unique ideals
  67. Wed Dec 10 00:35:36 2025 reduce to 48502842 relations and 44300571 ideals in 10 passes
  68. Wed Dec 10 00:35:36 2025 max relations containing the same ideal: 75
  69. Wed Dec 10 00:36:06 2025 removing 8096805 relations and 6096805 ideals in 2000000 cliques
  70. Wed Dec 10 00:36:10 2025 commencing in-memory singleton removal
  71. Wed Dec 10 00:36:11 2025 begin with 40406037 relations and 44300571 unique ideals
  72. Wed Dec 10 00:36:14 2025 reduce to 39244018 relations and 36999041 ideals in 11 passes
  73. Wed Dec 10 00:36:14 2025 max relations containing the same ideal: 65
  74. Wed Dec 10 00:36:40 2025 removing 4815604 relations and 3833833 ideals in 981771 cliques
  75. Wed Dec 10 00:36:43 2025 commencing in-memory singleton removal
  76. Wed Dec 10 00:36:44 2025 begin with 34428414 relations and 36999041 unique ideals
  77. Wed Dec 10 00:36:46 2025 reduce to 33949419 relations and 32675454 ideals in 9 passes
  78. Wed Dec 10 00:36:46 2025 max relations containing the same ideal: 60
  79. Wed Dec 10 00:37:10 2025 removing 109531 relations and 98772 ideals in 10759 cliques
  80. Wed Dec 10 00:37:12 2025 commencing in-memory singleton removal
  81. Wed Dec 10 00:37:12 2025 begin with 33839888 relations and 32675454 unique ideals
  82. Wed Dec 10 00:37:13 2025 reduce to 33839702 relations and 32576496 ideals in 4 passes
  83. Wed Dec 10 00:37:13 2025 max relations containing the same ideal: 60
  84. Wed Dec 10 00:37:19 2025 relations with 0 large ideals: 3931
  85. Wed Dec 10 00:37:19 2025 relations with 1 large ideals: 36930
  86. Wed Dec 10 00:37:19 2025 relations with 2 large ideals: 456561
  87. Wed Dec 10 00:37:19 2025 relations with 3 large ideals: 2331584
  88. Wed Dec 10 00:37:19 2025 relations with 4 large ideals: 6231893
  89. Wed Dec 10 00:37:19 2025 relations with 5 large ideals: 9571271
  90. Wed Dec 10 00:37:19 2025 relations with 6 large ideals: 8758251
  91. Wed Dec 10 00:37:19 2025 relations with 7+ large ideals: 6449281
  92. Wed Dec 10 00:37:19 2025 commencing 2-way merge
  93. Wed Dec 10 00:37:50 2025 reduce to 19829105 relation sets and 18565898 unique ideals
  94. Wed Dec 10 00:37:50 2025 commencing full merge
  95. Wed Dec 10 00:46:27 2025 memory use: 2172.6 MB
  96. Wed Dec 10 00:46:30 2025 found 8521509 cycles, need 8472098
  97. Wed Dec 10 00:46:33 2025 weight of 8472098 cycles is about 1017223684 (120.07/cycle)
  98. Wed Dec 10 00:46:33 2025 distribution of cycle lengths:
  99. Wed Dec 10 00:46:33 2025 1 relations: 654358
  100. Wed Dec 10 00:46:33 2025 2 relations: 585496
  101. Wed Dec 10 00:46:33 2025 3 relations: 581910
  102. Wed Dec 10 00:46:33 2025 4 relations: 561957
  103. Wed Dec 10 00:46:33 2025 5 relations: 563001
  104. Wed Dec 10 00:46:33 2025 6 relations: 541773
  105. Wed Dec 10 00:46:33 2025 7 relations: 532285
  106. Wed Dec 10 00:46:33 2025 8 relations: 505323
  107. Wed Dec 10 00:46:33 2025 9 relations: 484416
  108. Wed Dec 10 00:46:33 2025 10+ relations: 3461579
  109. Wed Dec 10 00:46:33 2025 heaviest cycle: 28 relations
  110. Wed Dec 10 00:46:36 2025 commencing cycle optimization
  111. Wed Dec 10 00:47:02 2025 start with 75726737 relations
  112. Wed Dec 10 00:50:38 2025 pruned 2852841 relations
  113. Wed Dec 10 00:50:38 2025 memory use: 2131.9 MB
  114. Wed Dec 10 00:50:38 2025 distribution of cycle lengths:
  115. Wed Dec 10 00:50:38 2025 1 relations: 654358
  116. Wed Dec 10 00:50:38 2025 2 relations: 599781
  117. Wed Dec 10 00:50:38 2025 3 relations: 602953
  118. Wed Dec 10 00:50:38 2025 4 relations: 580993
  119. Wed Dec 10 00:50:38 2025 5 relations: 585368
  120. Wed Dec 10 00:50:38 2025 6 relations: 562296
  121. Wed Dec 10 00:50:38 2025 7 relations: 553246
  122. Wed Dec 10 00:50:38 2025 8 relations: 524384
  123. Wed Dec 10 00:50:38 2025 9 relations: 501892
  124. Wed Dec 10 00:50:38 2025 10+ relations: 3306827
  125. Wed Dec 10 00:50:38 2025 heaviest cycle: 28 relations
  126. Wed Dec 10 00:50:56 2025 RelProcTime: 3969
  127. Wed Dec 10 00:50:56 2025
  128. Wed Dec 10 00:50:56 2025 commencing linear algebra
  129. Wed Dec 10 00:50:56 2025 using VBITS=256
  130. Wed Dec 10 00:50:56 2025 stopping after matrix build
  131. Wed Dec 10 00:50:56 2025 initialized process (0,0) of 1 x 1 grid
  132. Wed Dec 10 00:50:58 2025 read 8472098 cycles
  133. Wed Dec 10 00:51:23 2025 cycles contain 32880397 unique relations
  134. Wed Dec 10 00:57:06 2025 read 32880397 relations
  135. Wed Dec 10 00:57:10 2025 using 20 quadratic characters above 4294917295
  136. Wed Dec 10 00:57:16 2025 building initial matrix
  137. Wed Dec 10 01:06:24 2025 memory use: 4330.1 MB
  138. Wed Dec 10 01:06:34 2025 read 8472098 cycles
  139. Wed Dec 10 01:06:36 2025 matrix is 8471920 x 8472098 (4032.6 MB) with weight 1215918851 (143.52/col)
  140. Wed Dec 10 01:06:36 2025 sparse part has weight 955461410 (112.78/col)
  141. Wed Dec 10 01:09:41 2025 filtering completed in 2 passes
  142. Wed Dec 10 01:09:44 2025 matrix is 8470922 x 8471099 (4032.5 MB) with weight 1215866748 (143.53/col)
  143. Wed Dec 10 01:09:44 2025 sparse part has weight 955442843 (112.79/col)
  144. Wed Dec 10 01:10:52 2025 BLanczosTime: 1196
  145. Wed Dec 10 01:10:52 2025 elapsed time 01:26:06
  146. Wed Dec 10 01:20:06 2025
  147. Wed Dec 10 01:20:06 2025
  148. Wed Dec 10 01:20:06 2025 Msieve v. 1.54 (SVN Unversioned directory)
  149. Wed Dec 10 01:20:06 2025 random seeds: 2566a82f 43d4abc5
  150. Wed Dec 10 01:20:06 2025 MPI process 0 of 1
  151. Wed Dec 10 01:20:06 2025 Using 64 OpenMP threads
  152. Wed Dec 10 01:20:06 2025 factoring 927521217456244434287848715347786523109246593819843839570931656932422357441037417186183251557310111118864071054386892335422484623769434693408748518308201765245258903 (165 digits)
  153. Wed Dec 10 01:20:07 2025 searching for 15-digit factors
  154. Wed Dec 10 01:20:07 2025 commencing number field sieve (165-digit input)
  155. Wed Dec 10 01:20:07 2025 R0: -74379312427165860641752150449932
  156. Wed Dec 10 01:20:07 2025 R1: 3574572383804657095102177
  157. Wed Dec 10 01:20:07 2025 A0: -41096122268381343578292577681342366950
  158. Wed Dec 10 01:20:07 2025 A1: 231717521703923003108975012218895
  159. Wed Dec 10 01:20:07 2025 A2: -65948853044628209801282042
  160. Wed Dec 10 01:20:07 2025 A3: -54342557951325548745
  161. Wed Dec 10 01:20:07 2025 A4: 817440970710
  162. Wed Dec 10 01:20:07 2025 A5: 907200
  163. Wed Dec 10 01:20:07 2025 skew 3788092.41, size 5.387e-16, alpha -6.561, combined = 8.060e-13 rroots = 5
  164. Wed Dec 10 01:20:07 2025
  165. Wed Dec 10 01:20:07 2025 commencing linear algebra
  166. Wed Dec 10 01:20:07 2025 using VBITS=256
  167. Wed Dec 10 01:20:07 2025 skipping matrix build
  168. Wed Dec 10 01:20:07 2025 initialized process (0,0) of 1 x 1 grid
  169. Wed Dec 10 01:20:14 2025 matrix starts at (0, 0)
  170. Wed Dec 10 01:20:20 2025 matrix is 8470922 x 8471099 (4032.5 MB) with weight 1215866748 (143.53/col)
  171. Wed Dec 10 01:20:20 2025 sparse part has weight 955442843 (112.79/col)
  172. Wed Dec 10 01:20:20 2025 saving the first 240 matrix rows for later
  173. Wed Dec 10 01:20:24 2025 matrix includes 256 packed rows
  174. Wed Dec 10 01:20:27 2025 matrix is 8470682 x 8471099 (3640.4 MB) with weight 871610561 (102.89/col)
  175. Wed Dec 10 01:20:27 2025 sparse part has weight 818765383 (96.65/col)
  176. Wed Dec 10 01:20:27 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  177. Wed Dec 10 01:20:46 2025 commencing Lanczos iteration (64 threads)
  178. Wed Dec 10 01:20:46 2025 memory use: 5244.6 MB
  179. Wed Dec 10 01:21:53 2025 linear algebra at 0.4%, ETA 5h 3m
  180. Wed Dec 10 01:23:33 2025 checking every 20000 dimensions, checkpointing every 1680000 dimensions
  181. Wed Dec 10 06:23:14 2025 lanczos halted after 33189 iterations (dim = 8470681)
  182. Wed Dec 10 06:23:48 2025 recovered 29 nontrivial dependencies
  183. Wed Dec 10 06:23:49 2025 BLanczosTime: 18222
  184. Wed Dec 10 06:23:49 2025
  185. Wed Dec 10 06:23:49 2025 commencing square root phase
  186. Wed Dec 10 06:23:49 2025 handling dependencies 1 to 64
  187. Wed Dec 10 06:23:49 2025 reading relations for dependency 1
  188. Wed Dec 10 06:23:49 2025 read 4236302 cycles
  189. Wed Dec 10 06:23:56 2025 cycles contain 16444018 unique relations
  190. Wed Dec 10 06:28:03 2025 read 16444018 relations
  191. Wed Dec 10 06:29:45 2025 multiplying 16444018 relations
  192. Wed Dec 10 06:32:30 2025 multiply complete, coefficients have about 911.48 million bits
  193. Wed Dec 10 06:32:34 2025 initial square root is modulo 150429677
  194. Wed Dec 10 06:42:14 2025 sqrtTime: 1105
  195. Wed Dec 10 06:42:14 2025 p80 factor: 17868168888969231212452359605192213350173225713234647537354671847610472127878439
  196. Wed Dec 10 06:42:14 2025 p86 factor: 51909136477260527615102452866681176538034720585391245563090960631856431632571627016977
  197. Wed Dec 10 06:42:14 2025 elapsed time 05:22:08
  198.  
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