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Apr 11th, 2025
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  1. Fri Apr 11 09:02:25 2025
  2. Fri Apr 11 09:02:25 2025
  3. Fri Apr 11 09:02:25 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Apr 11 09:02:25 2025 random seeds: 7916bc88 cc1adc42
  5. Fri Apr 11 09:02:25 2025 Using 64 OpenMP threads
  6. Fri Apr 11 09:02:25 2025 factoring 678489210870682948826810882635991982910220055352187345558794588855865287117198622931296988723285398893076731209268355395453095547607653383292884610632287179547117 (162 digits)
  7. Fri Apr 11 09:02:26 2025 searching for 15-digit factors
  8. Fri Apr 11 09:02:26 2025 commencing number field sieve (162-digit input)
  9. Fri Apr 11 09:02:26 2025 R0: -33304009630997702477007385622244
  10. Fri Apr 11 09:02:26 2025 R1: 4709458706722583
  11. Fri Apr 11 09:02:26 2025 A0: -9907967243016631878991454014091597490485
  12. Fri Apr 11 09:02:26 2025 A1: -2562914288820644846714795756030508
  13. Fri Apr 11 09:02:26 2025 A2: 228881114576421417470761024
  14. Fri Apr 11 09:02:26 2025 A3: 36949334964582389493
  15. Fri Apr 11 09:02:26 2025 A4: -1015667880434
  16. Fri Apr 11 09:02:26 2025 A5: 16560
  17. Fri Apr 11 09:02:26 2025 skew 15473742.53, size 9.334e-16, alpha -7.363, combined = 1.095e-12 rroots = 3
  18. Fri Apr 11 09:02:26 2025
  19. Fri Apr 11 09:02:26 2025 commencing relation filtering
  20. Fri Apr 11 09:02:26 2025 setting target matrix density to 130.0
  21. Fri Apr 11 09:02:26 2025 estimated available RAM is 257948.4 MB
  22. Fri Apr 11 09:02:26 2025 commencing duplicate removal, pass 1
  23. Fri Apr 11 09:03:07 2025 error -1 reading relation 17672927
  24. Fri Apr 11 09:03:27 2025 error -15 reading relation 28244572
  25. Fri Apr 11 09:04:12 2025 error -1 reading relation 50996848
  26. Fri Apr 11 09:04:28 2025 error -1 reading relation 59031118
  27. Fri Apr 11 09:05:57 2025 error -1 reading relation 104820860
  28. Fri Apr 11 09:06:09 2025 error -1 reading relation 110692316
  29. Fri Apr 11 09:06:14 2025 error -1 reading relation 113704804
  30. Fri Apr 11 09:06:26 2025 error -1 reading relation 119141903
  31. Fri Apr 11 09:06:33 2025 error -1 reading relation 121631720
  32. Fri Apr 11 09:06:37 2025 error -1 reading relation 123842460
  33. Fri Apr 11 09:06:45 2025 error -1 reading relation 127790593
  34. Fri Apr 11 09:07:05 2025 error -1 reading relation 136704064
  35. Fri Apr 11 09:07:19 2025 error -1 reading relation 142706931
  36. Fri Apr 11 09:07:20 2025 error -1 reading relation 143357287
  37. Fri Apr 11 09:08:20 2025 error -1 reading relation 168929647
  38. Fri Apr 11 09:08:36 2025 skipped 154 malformed relations
  39. Fri Apr 11 09:08:36 2025 found 31780725 hash collisions in 175203234 relations
  40. Fri Apr 11 09:09:05 2025 added 122237 free relations
  41. Fri Apr 11 09:09:05 2025 commencing duplicate removal, pass 2
  42. Fri Apr 11 09:13:12 2025 found 31906424 duplicates and 143419047 unique relations
  43. Fri Apr 11 09:13:12 2025 memory use: 852.8 MB
  44. Fri Apr 11 09:13:12 2025 reading ideals above 720000
  45. Fri Apr 11 09:13:12 2025 commencing singleton removal, initial pass
  46. Fri Apr 11 09:23:17 2025 memory use: 3012.0 MB
  47. Fri Apr 11 09:23:17 2025 reading all ideals from disk
  48. Fri Apr 11 09:23:20 2025 memory use: 6483.0 MB
  49. Fri Apr 11 09:23:35 2025 keeping 131741371 ideals with weight <= 200, target excess is 698170
  50. Fri Apr 11 09:23:55 2025 commencing in-memory singleton removal
  51. Fri Apr 11 09:23:57 2025 begin with 143419047 relations and 131741371 unique ideals
  52. Fri Apr 11 09:24:07 2025 reduce to 92030861 relations and 75139619 ideals in 15 passes
  53. Fri Apr 11 09:24:07 2025 max relations containing the same ideal: 156
  54. Fri Apr 11 09:24:40 2025 removing 10245533 relations and 8245533 ideals in 2000000 cliques
  55. Fri Apr 11 09:24:45 2025 commencing in-memory singleton removal
  56. Fri Apr 11 09:24:47 2025 begin with 81785328 relations and 75139619 unique ideals
  57. Fri Apr 11 09:24:52 2025 reduce to 80831857 relations and 65913915 ideals in 10 passes
  58. Fri Apr 11 09:24:52 2025 max relations containing the same ideal: 144
  59. Fri Apr 11 09:25:20 2025 removing 7953495 relations and 5953495 ideals in 2000000 cliques
  60. Fri Apr 11 09:25:25 2025 commencing in-memory singleton removal
  61. Fri Apr 11 09:25:26 2025 begin with 72878362 relations and 65913915 unique ideals
  62. Fri Apr 11 09:25:30 2025 reduce to 72210465 relations and 59275309 ideals in 8 passes
  63. Fri Apr 11 09:25:30 2025 max relations containing the same ideal: 132
  64. Fri Apr 11 09:25:56 2025 removing 7317491 relations and 5317491 ideals in 2000000 cliques
  65. Fri Apr 11 09:26:00 2025 commencing in-memory singleton removal
  66. Fri Apr 11 09:26:01 2025 begin with 64892974 relations and 59275309 unique ideals
  67. Fri Apr 11 09:26:05 2025 reduce to 64272449 relations and 53320873 ideals in 8 passes
  68. Fri Apr 11 09:26:05 2025 max relations containing the same ideal: 123
  69. Fri Apr 11 09:26:28 2025 removing 7026154 relations and 5026154 ideals in 2000000 cliques
  70. Fri Apr 11 09:26:32 2025 commencing in-memory singleton removal
  71. Fri Apr 11 09:26:33 2025 begin with 57246295 relations and 53320873 unique ideals
  72. Fri Apr 11 09:26:36 2025 reduce to 56620842 relations and 47651399 ideals in 8 passes
  73. Fri Apr 11 09:26:36 2025 max relations containing the same ideal: 115
  74. Fri Apr 11 09:26:57 2025 removing 6877830 relations and 4877830 ideals in 2000000 cliques
  75. Fri Apr 11 09:27:00 2025 commencing in-memory singleton removal
  76. Fri Apr 11 09:27:01 2025 begin with 49743012 relations and 47651399 unique ideals
  77. Fri Apr 11 09:27:04 2025 reduce to 49073749 relations and 42083007 ideals in 8 passes
  78. Fri Apr 11 09:27:04 2025 max relations containing the same ideal: 110
  79. Fri Apr 11 09:27:22 2025 removing 6823082 relations and 4823082 ideals in 2000000 cliques
  80. Fri Apr 11 09:27:26 2025 commencing in-memory singleton removal
  81. Fri Apr 11 09:27:26 2025 begin with 42250667 relations and 42083007 unique ideals
  82. Fri Apr 11 09:27:29 2025 reduce to 41497830 relations and 36479605 ideals in 9 passes
  83. Fri Apr 11 09:27:29 2025 max relations containing the same ideal: 96
  84. Fri Apr 11 09:27:45 2025 removing 6843872 relations and 4843872 ideals in 2000000 cliques
  85. Fri Apr 11 09:27:48 2025 commencing in-memory singleton removal
  86. Fri Apr 11 09:27:49 2025 begin with 34653958 relations and 36479605 unique ideals
  87. Fri Apr 11 09:27:51 2025 reduce to 33755356 relations and 30698660 ideals in 10 passes
  88. Fri Apr 11 09:27:51 2025 max relations containing the same ideal: 83
  89. Fri Apr 11 09:28:05 2025 removing 6925488 relations and 4925488 ideals in 2000000 cliques
  90. Fri Apr 11 09:28:08 2025 commencing in-memory singleton removal
  91. Fri Apr 11 09:28:08 2025 begin with 26829868 relations and 30698660 unique ideals
  92. Fri Apr 11 09:28:10 2025 reduce to 25670178 relations and 24551684 ideals in 10 passes
  93. Fri Apr 11 09:28:10 2025 max relations containing the same ideal: 65
  94. Fri Apr 11 09:28:20 2025 removing 1710106 relations and 1401490 ideals in 308616 cliques
  95. Fri Apr 11 09:28:22 2025 commencing in-memory singleton removal
  96. Fri Apr 11 09:28:22 2025 begin with 23960072 relations and 24551684 unique ideals
  97. Fri Apr 11 09:28:24 2025 reduce to 23876128 relations and 23065286 ideals in 9 passes
  98. Fri Apr 11 09:28:24 2025 max relations containing the same ideal: 62
  99. Fri Apr 11 09:28:38 2025 relations with 0 large ideals: 2596
  100. Fri Apr 11 09:28:38 2025 relations with 1 large ideals: 16951
  101. Fri Apr 11 09:28:38 2025 relations with 2 large ideals: 225480
  102. Fri Apr 11 09:28:38 2025 relations with 3 large ideals: 1252295
  103. Fri Apr 11 09:28:38 2025 relations with 4 large ideals: 3672972
  104. Fri Apr 11 09:28:38 2025 relations with 5 large ideals: 6262278
  105. Fri Apr 11 09:28:38 2025 relations with 6 large ideals: 6498879
  106. Fri Apr 11 09:28:38 2025 relations with 7+ large ideals: 5944677
  107. Fri Apr 11 09:28:38 2025 commencing 2-way merge
  108. Fri Apr 11 09:28:51 2025 reduce to 14630475 relation sets and 13819633 unique ideals
  109. Fri Apr 11 09:28:51 2025 commencing full merge
  110. Fri Apr 11 09:34:13 2025 memory use: 1729.4 MB
  111. Fri Apr 11 09:34:14 2025 found 6278407 cycles, need 6269833
  112. Fri Apr 11 09:34:16 2025 weight of 6269833 cycles is about 815502201 (130.07/cycle)
  113. Fri Apr 11 09:34:16 2025 distribution of cycle lengths:
  114. Fri Apr 11 09:34:16 2025 1 relations: 342269
  115. Fri Apr 11 09:34:16 2025 2 relations: 398840
  116. Fri Apr 11 09:34:16 2025 3 relations: 417537
  117. Fri Apr 11 09:34:16 2025 4 relations: 409602
  118. Fri Apr 11 09:34:16 2025 5 relations: 410819
  119. Fri Apr 11 09:34:16 2025 6 relations: 405589
  120. Fri Apr 11 09:34:16 2025 7 relations: 395226
  121. Fri Apr 11 09:34:16 2025 8 relations: 383636
  122. Fri Apr 11 09:34:16 2025 9 relations: 363362
  123. Fri Apr 11 09:34:16 2025 10+ relations: 2742953
  124. Fri Apr 11 09:34:16 2025 heaviest cycle: 28 relations
  125. Fri Apr 11 09:34:18 2025 commencing cycle optimization
  126. Fri Apr 11 09:34:32 2025 start with 59255972 relations
  127. Fri Apr 11 09:36:49 2025 pruned 2658479 relations
  128. Fri Apr 11 09:36:49 2025 memory use: 1577.6 MB
  129. Fri Apr 11 09:36:49 2025 distribution of cycle lengths:
  130. Fri Apr 11 09:36:49 2025 1 relations: 342269
  131. Fri Apr 11 09:36:49 2025 2 relations: 409078
  132. Fri Apr 11 09:36:49 2025 3 relations: 434871
  133. Fri Apr 11 09:36:49 2025 4 relations: 425449
  134. Fri Apr 11 09:36:49 2025 5 relations: 430294
  135. Fri Apr 11 09:36:49 2025 6 relations: 423397
  136. Fri Apr 11 09:36:49 2025 7 relations: 414623
  137. Fri Apr 11 09:36:49 2025 8 relations: 401313
  138. Fri Apr 11 09:36:49 2025 9 relations: 380403
  139. Fri Apr 11 09:36:49 2025 10+ relations: 2608136
  140. Fri Apr 11 09:36:49 2025 heaviest cycle: 28 relations
  141. Fri Apr 11 09:36:57 2025 RelProcTime: 2071
  142. Fri Apr 11 09:36:57 2025
  143. Fri Apr 11 09:36:57 2025 commencing linear algebra
  144. Fri Apr 11 09:36:57 2025 using VBITS=256
  145. Fri Apr 11 09:36:58 2025 read 6269833 cycles
  146. Fri Apr 11 09:37:11 2025 cycles contain 23341744 unique relations
  147. Fri Apr 11 09:40:32 2025 read 23341744 relations
  148. Fri Apr 11 09:40:34 2025 using 20 quadratic characters above 4294917295
  149. Fri Apr 11 09:40:37 2025 building initial matrix
  150. Fri Apr 11 09:45:03 2025 memory use: 3196.5 MB
  151. Fri Apr 11 09:45:07 2025 read 6269833 cycles
  152. Fri Apr 11 09:45:08 2025 matrix is 6269654 x 6269833 (3157.7 MB) with weight 959114239 (152.97/col)
  153. Fri Apr 11 09:45:08 2025 sparse part has weight 752543113 (120.03/col)
  154. Fri Apr 11 09:46:13 2025 filtering completed in 2 passes
  155. Fri Apr 11 09:46:15 2025 matrix is 6269546 x 6269723 (3157.7 MB) with weight 959108587 (152.97/col)
  156. Fri Apr 11 09:46:15 2025 sparse part has weight 752541452 (120.03/col)
  157. Fri Apr 11 09:46:33 2025 matrix starts at (0, 0)
  158. Fri Apr 11 09:46:34 2025 matrix is 6269546 x 6269723 (3157.7 MB) with weight 959108587 (152.97/col)
  159. Fri Apr 11 09:46:34 2025 sparse part has weight 752541452 (120.03/col)
  160. Fri Apr 11 09:46:34 2025 saving the first 240 matrix rows for later
  161. Fri Apr 11 09:46:36 2025 matrix includes 256 packed rows
  162. Fri Apr 11 09:46:37 2025 matrix is 6269306 x 6269723 (2812.0 MB) with weight 685094470 (109.27/col)
  163. Fri Apr 11 09:46:37 2025 sparse part has weight 636841325 (101.57/col)
  164. Fri Apr 11 09:46:37 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  165. Fri Apr 11 09:46:50 2025 commencing Lanczos iteration (64 threads)
  166. Fri Apr 11 09:46:50 2025 memory use: 3785.3 MB
  167. Fri Apr 11 09:47:48 2025 linear algebra at 0.5%, ETA 3h13m
  168. Fri Apr 11 09:49:10 2025 checking every 30000 dimensions, checkpointing every 2010000 dimensions
  169. Fri Apr 11 12:50:45 2025 lanczos halted after 24565 iterations (dim = 6269304)
  170. Fri Apr 11 12:51:13 2025 recovered 30 nontrivial dependencies
  171. Fri Apr 11 12:51:13 2025 BLanczosTime: 11656
  172. Fri Apr 11 12:51:13 2025
  173. Fri Apr 11 12:51:13 2025 commencing square root phase
  174. Fri Apr 11 12:51:13 2025 handling dependencies 1 to 64
  175. Fri Apr 11 12:51:13 2025 reading relations for dependency 1
  176. Fri Apr 11 12:51:14 2025 read 3134791 cycles
  177. Fri Apr 11 12:51:19 2025 cycles contain 11673508 unique relations
  178. Fri Apr 11 12:53:46 2025 read 11673508 relations
  179. Fri Apr 11 12:54:24 2025 multiplying 11673508 relations
  180. Fri Apr 11 12:59:07 2025 multiply complete, coefficients have about 599.99 million bits
  181. Fri Apr 11 12:59:09 2025 initial square root is modulo 241597
  182. Fri Apr 11 13:02:17 2025 sqrtTime: 664
  183. Fri Apr 11 13:02:17 2025 p61 factor: 2019499165514508454876976125924807723670603837073583004983343
  184. Fri Apr 11 13:02:17 2025 p102 factor: 335969047403802235967050299257740556372486380960099614584889212685926166196300867881194695212776365219
  185. Fri Apr 11 13:02:17 2025 elapsed time 03:59:52
  186.  
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