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C165_9336_1196

gchilders
Aug 29th, 2026
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  1. Fri Aug 28 22:15:19 2026
  2. Fri Aug 28 22:15:19 2026
  3. Fri Aug 28 22:15:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Aug 28 22:15:19 2026 random seeds: 87511f03 ee3c7826
  5. Fri Aug 28 22:15:19 2026 Using 46 OpenMP threads
  6. Fri Aug 28 22:15:19 2026 factoring 270373551291444509292836246966434579664722769558295878810291230641407185139882626893961809212695374414587501697835203914148394653900109656871412083517326631630284879 (165 digits)
  7. Fri Aug 28 22:15:19 2026 no P-1/P+1/ECM available, skipping
  8. Fri Aug 28 22:15:19 2026 commencing number field sieve (165-digit input)
  9. Fri Aug 28 22:15:19 2026 R0: -108920987099475903984153867916729
  10. Fri Aug 28 22:15:19 2026 R1: 504316773010670002823
  11. Fri Aug 28 22:15:19 2026 A0: -311211707184478553993570201130837086880
  12. Fri Aug 28 22:15:19 2026 A1: 485107543736765696452137788381078
  13. Fri Aug 28 22:15:19 2026 A2: 202765286680969852928031077
  14. Fri Aug 28 22:15:19 2026 A3: 7803245936787789701
  15. Fri Aug 28 22:15:19 2026 A4: -1617822577128
  16. Fri Aug 28 22:15:19 2026 A5: 35280
  17. Fri Aug 28 22:15:19 2026 skew 10787159.75, size 7.082e-16, alpha -6.634, combined = 9.363e-13 rroots = 5
  18. Fri Aug 28 22:15:19 2026
  19. Fri Aug 28 22:15:19 2026 commencing relation filtering
  20. Fri Aug 28 22:15:19 2026 setting target matrix density to 110.0
  21. Fri Aug 28 22:15:19 2026 estimated available RAM is 773418.9 MB
  22. Fri Aug 28 22:15:19 2026 commencing duplicate removal, pass 1
  23. Fri Aug 28 22:16:27 2026 skipped 119 malformed relations
  24. Fri Aug 28 22:16:27 2026 found 18318927 hash collisions in 127010411 relations
  25. Fri Aug 28 22:16:47 2026 added 122610 free relations
  26. Fri Aug 28 22:16:47 2026 commencing duplicate removal, pass 2
  27. Fri Aug 28 22:17:23 2026 found 17372425 duplicates and 109760596 unique relations
  28. Fri Aug 28 22:17:23 2026 memory use: 992.0 MB
  29. Fri Aug 28 22:17:23 2026 reading ideals above 720000
  30. Fri Aug 28 22:17:23 2026 commencing singleton removal, initial pass
  31. Fri Aug 28 22:19:15 2026 LP64 contains 109760596 relations and 113127663 unique large ideals
  32. Fri Aug 28 22:19:15 2026 memory use: 4208.0 MB
  33. Fri Aug 28 22:19:15 2026 preparing 64-bit LP file for common filtering
  34. Fri Aug 28 22:19:15 2026 start with 109760596 relations and 113127663 ideals
  35. Fri Aug 28 22:19:30 2026 compacted LP dataset has 109760596 relations and 113127663 large ideals
  36. Fri Aug 28 22:19:30 2026 reading all ideals from disk
  37. Fri Aug 28 22:19:32 2026 memory use: 4977.4 MB
  38. Fri Aug 28 22:19:37 2026 keeping 112662020 ideals with weight <= 200, target excess is 582082
  39. Fri Aug 28 22:19:43 2026 commencing in-memory singleton removal
  40. Fri Aug 28 22:19:43 2026 begin with 109760596 relations and 112662020 unique ideals
  41. Fri Aug 28 22:19:47 2026 reduce to 50918189 relations and 45552357 ideals in 17 passes
  42. Fri Aug 28 22:19:47 2026 max relations containing the same ideal: 127
  43. Fri Aug 28 22:19:59 2026 removing 6775471 relations and 5775471 ideals in 1000000 cliques
  44. Fri Aug 28 22:20:00 2026 commencing in-memory singleton removal
  45. Fri Aug 28 22:20:00 2026 begin with 44142718 relations and 45552357 unique ideals
  46. Fri Aug 28 22:20:01 2026 reduce to 43488954 relations and 39106876 ideals in 9 passes
  47. Fri Aug 28 22:20:01 2026 max relations containing the same ideal: 110
  48. Fri Aug 28 22:20:11 2026 removing 5120443 relations and 4120443 ideals in 1000000 cliques
  49. Fri Aug 28 22:20:11 2026 commencing in-memory singleton removal
  50. Fri Aug 28 22:20:11 2026 begin with 38368511 relations and 39106876 unique ideals
  51. Fri Aug 28 22:20:12 2026 reduce to 37925483 relations and 34533372 ideals in 9 passes
  52. Fri Aug 28 22:20:12 2026 max relations containing the same ideal: 100
  53. Fri Aug 28 22:20:21 2026 removing 4597366 relations and 3597366 ideals in 1000000 cliques
  54. Fri Aug 28 22:20:22 2026 commencing in-memory singleton removal
  55. Fri Aug 28 22:20:22 2026 begin with 33328117 relations and 34533372 unique ideals
  56. Fri Aug 28 22:20:23 2026 reduce to 32925680 relations and 30523666 ideals in 8 passes
  57. Fri Aug 28 22:20:23 2026 max relations containing the same ideal: 91
  58. Fri Aug 28 22:20:30 2026 removing 4326474 relations and 3326474 ideals in 1000000 cliques
  59. Fri Aug 28 22:20:31 2026 commencing in-memory singleton removal
  60. Fri Aug 28 22:20:31 2026 begin with 28599206 relations and 30523666 unique ideals
  61. Fri Aug 28 22:20:31 2026 reduce to 28198232 relations and 26785329 ideals in 9 passes
  62. Fri Aug 28 22:20:31 2026 max relations containing the same ideal: 82
  63. Fri Aug 28 22:20:38 2026 removing 3260244 relations and 2522557 ideals in 737687 cliques
  64. Fri Aug 28 22:20:39 2026 commencing in-memory singleton removal
  65. Fri Aug 28 22:20:39 2026 begin with 24937988 relations and 26785329 unique ideals
  66. Fri Aug 28 22:20:39 2026 reduce to 24688445 relations and 24007708 ideals in 8 passes
  67. Fri Aug 28 22:20:39 2026 max relations containing the same ideal: 76
  68. Fri Aug 28 22:20:48 2026 relations with 0 large ideals: 2075
  69. Fri Aug 28 22:20:48 2026 relations with 1 large ideals: 9373
  70. Fri Aug 28 22:20:48 2026 relations with 2 large ideals: 136466
  71. Fri Aug 28 22:20:48 2026 relations with 3 large ideals: 866523
  72. Fri Aug 28 22:20:48 2026 relations with 4 large ideals: 2924902
  73. Fri Aug 28 22:20:48 2026 relations with 5 large ideals: 5742477
  74. Fri Aug 28 22:20:48 2026 relations with 6 large ideals: 6920806
  75. Fri Aug 28 22:20:48 2026 relations with 7+ large ideals: 8085823
  76. Fri Aug 28 22:20:48 2026 commencing 2-way merge
  77. Fri Aug 28 22:20:56 2026 reduce to 15307133 relation sets and 14626396 unique ideals
  78. Fri Aug 28 22:20:56 2026 commencing full merge
  79. Fri Aug 28 22:24:19 2026 memory use: 2065.4 MB
  80. Fri Aug 28 22:24:20 2026 found 7156267 cycles, need 7090596
  81. Fri Aug 28 22:24:21 2026 weight of 7090596 cycles is about 780443561 (110.07/cycle)
  82. Fri Aug 28 22:24:21 2026 distribution of cycle lengths:
  83. Fri Aug 28 22:24:21 2026 1 relations: 342119
  84. Fri Aug 28 22:24:21 2026 2 relations: 530405
  85. Fri Aug 28 22:24:21 2026 3 relations: 599515
  86. Fri Aug 28 22:24:21 2026 4 relations: 595050
  87. Fri Aug 28 22:24:21 2026 5 relations: 584861
  88. Fri Aug 28 22:24:21 2026 6 relations: 557779
  89. Fri Aug 28 22:24:21 2026 7 relations: 522445
  90. Fri Aug 28 22:24:21 2026 8 relations: 487702
  91. Fri Aug 28 22:24:21 2026 9 relations: 446947
  92. Fri Aug 28 22:24:21 2026 10+ relations: 2423773
  93. Fri Aug 28 22:24:21 2026 heaviest cycle: 27 relations
  94. Fri Aug 28 22:24:22 2026 commencing cycle optimization
  95. Fri Aug 28 22:24:28 2026 start with 57045684 relations
  96. Fri Aug 28 22:25:38 2026 pruned 2162126 relations
  97. Fri Aug 28 22:25:38 2026 memory use: 1862.3 MB
  98. Fri Aug 28 22:25:39 2026 distribution of cycle lengths:
  99. Fri Aug 28 22:25:39 2026 1 relations: 342119
  100. Fri Aug 28 22:25:39 2026 2 relations: 544421
  101. Fri Aug 28 22:25:39 2026 3 relations: 625626
  102. Fri Aug 28 22:25:39 2026 4 relations: 617970
  103. Fri Aug 28 22:25:39 2026 5 relations: 610029
  104. Fri Aug 28 22:25:39 2026 6 relations: 577846
  105. Fri Aug 28 22:25:39 2026 7 relations: 542131
  106. Fri Aug 28 22:25:39 2026 8 relations: 502559
  107. Fri Aug 28 22:25:39 2026 9 relations: 458536
  108. Fri Aug 28 22:25:39 2026 10+ relations: 2269359
  109. Fri Aug 28 22:25:39 2026 heaviest cycle: 27 relations
  110. Fri Aug 28 22:25:40 2026 RelProcTime: 621
  111. Fri Aug 28 22:25:41 2026 elapsed time 00:10:22
  112. Fri Aug 28 22:26:05 2026
  113. Fri Aug 28 22:26:05 2026
  114. Fri Aug 28 22:26:05 2026 Msieve v. 1.54 (SVN Unversioned directory)
  115. Fri Aug 28 22:26:05 2026 random seeds: 82870617 b1e56efc
  116. Fri Aug 28 22:26:05 2026 Using 46 OpenMP threads
  117. Fri Aug 28 22:26:05 2026 factoring 270373551291444509292836246966434579664722769558295878810291230641407185139882626893961809212695374414587501697835203914148394653900109656871412083517326631630284879 (165 digits)
  118. Fri Aug 28 22:26:05 2026 no P-1/P+1/ECM available, skipping
  119. Fri Aug 28 22:26:05 2026 commencing number field sieve (165-digit input)
  120. Fri Aug 28 22:26:05 2026 R0: -108920987099475903984153867916729
  121. Fri Aug 28 22:26:05 2026 R1: 504316773010670002823
  122. Fri Aug 28 22:26:05 2026 A0: -311211707184478553993570201130837086880
  123. Fri Aug 28 22:26:05 2026 A1: 485107543736765696452137788381078
  124. Fri Aug 28 22:26:05 2026 A2: 202765286680969852928031077
  125. Fri Aug 28 22:26:05 2026 A3: 7803245936787789701
  126. Fri Aug 28 22:26:05 2026 A4: -1617822577128
  127. Fri Aug 28 22:26:05 2026 A5: 35280
  128. Fri Aug 28 22:26:05 2026 skew 10787159.75, size 7.082e-16, alpha -6.634, combined = 9.363e-13 rroots = 5
  129. Fri Aug 28 22:26:05 2026
  130. Fri Aug 28 22:26:05 2026 commencing linear algebra
  131. Fri Aug 28 22:26:05 2026 using VBITS=256
  132. Fri Aug 28 22:26:06 2026 read 7090596 cycles
  133. Fri Aug 28 22:26:14 2026 cycles contain 24198911 unique relations
  134. Fri Aug 28 22:26:24 2026 read 24198911 relations
  135. Fri Aug 28 22:26:26 2026 using 20 quadratic characters above 4294917295
  136. Fri Aug 28 22:26:29 2026 building initial matrix
  137. Fri Aug 28 22:29:49 2026 memory use: 3287.2 MB
  138. Fri Aug 28 22:29:54 2026 read 7090596 cycles
  139. Fri Aug 28 22:29:54 2026 matrix is 7090419 x 7090596 (3103.6 MB) with weight 945919947 (133.40/col)
  140. Fri Aug 28 22:29:54 2026 sparse part has weight 735583633 (103.74/col)
  141. Fri Aug 28 22:30:46 2026 filtering completed in 2 passes
  142. Fri Aug 28 22:30:47 2026 matrix is 7089793 x 7089969 (3103.5 MB) with weight 945887369 (133.41/col)
  143. Fri Aug 28 22:30:47 2026 sparse part has weight 735570712 (103.75/col)
  144. Fri Aug 28 22:31:02 2026 matrix starts at (0, 0)
  145. Fri Aug 28 22:31:03 2026 matrix is 7089793 x 7089969 (3103.5 MB) with weight 945887369 (133.41/col)
  146. Fri Aug 28 22:31:03 2026 sparse part has weight 735570712 (103.75/col)
  147. Fri Aug 28 22:31:03 2026 saving the first 240 matrix rows for later
  148. Fri Aug 28 22:31:04 2026 matrix includes 256 packed rows
  149. Fri Aug 28 22:31:05 2026 matrix is 7089553 x 7089969 (2823.2 MB) with weight 670223775 (94.53/col)
  150. Fri Aug 28 22:31:06 2026 sparse part has weight 626642790 (88.38/col)
  151. Fri Aug 28 22:31:06 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  152. Fri Aug 28 22:31:06 2026 selected card has CUDA arch 8.0
  153. Fri Aug 28 22:31:44 2026 commencing Lanczos iteration
  154. Fri Aug 28 22:31:45 2026 memory use: 6566.0 MB
  155. Fri Aug 28 22:31:57 2026 linear algebra at 0.4%, ETA 0h46m
  156. Fri Aug 28 22:32:15 2026 checking every 150000 dimensions, checkpointing every 9300000 dimensions
  157. Fri Aug 28 23:17:58 2026 lanczos halted after 27779 iterations (dim = 7089552)
  158. Fri Aug 28 23:18:22 2026 recovered 31 nontrivial dependencies
  159. Fri Aug 28 23:18:22 2026 BLanczosTime: 3137
  160. Fri Aug 28 23:18:22 2026 elapsed time 00:52:17
  161. Fri Aug 28 23:23:33 2026
  162. Fri Aug 28 23:23:33 2026
  163. Fri Aug 28 23:23:33 2026 Msieve v. 1.54 (SVN Unversioned directory)
  164. Fri Aug 28 23:23:33 2026 random seeds: 47b749a4 fbbea0b6
  165. Fri Aug 28 23:23:33 2026 Using 46 OpenMP threads
  166. Fri Aug 28 23:23:33 2026 factoring 270373551291444509292836246966434579664722769558295878810291230641407185139882626893961809212695374414587501697835203914148394653900109656871412083517326631630284879 (165 digits)
  167. Fri Aug 28 23:23:34 2026 no P-1/P+1/ECM available, skipping
  168. Fri Aug 28 23:23:34 2026 commencing number field sieve (165-digit input)
  169. Fri Aug 28 23:23:34 2026 R0: -108920987099475903984153867916729
  170. Fri Aug 28 23:23:34 2026 R1: 504316773010670002823
  171. Fri Aug 28 23:23:34 2026 A0: -311211707184478553993570201130837086880
  172. Fri Aug 28 23:23:34 2026 A1: 485107543736765696452137788381078
  173. Fri Aug 28 23:23:34 2026 A2: 202765286680969852928031077
  174. Fri Aug 28 23:23:34 2026 A3: 7803245936787789701
  175. Fri Aug 28 23:23:34 2026 A4: -1617822577128
  176. Fri Aug 28 23:23:34 2026 A5: 35280
  177. Fri Aug 28 23:23:34 2026 skew 10787159.75, size 7.082e-16, alpha -6.634, combined = 9.363e-13 rroots = 5
  178. Fri Aug 28 23:23:34 2026
  179. Fri Aug 28 23:23:34 2026 commencing square root phase
  180. Fri Aug 28 23:23:34 2026 reading relations for dependency 1
  181. Fri Aug 28 23:23:34 2026 read 3545067 cycles
  182. Fri Aug 28 23:23:39 2026 cycles contain 12099352 unique relations
  183. Fri Aug 28 23:23:47 2026 read 12099352 relations
  184. Fri Aug 28 23:24:18 2026 multiplying 12099352 relations
  185. Fri Aug 28 23:25:07 2026 multiply complete, coefficients have about 630.47 million bits
  186. Fri Aug 28 23:25:08 2026 initial square root is modulo 453197
  187. Fri Aug 28 23:27:45 2026 GCD is N, no factor found
  188. Fri Aug 28 23:27:45 2026 reading relations for dependency 2
  189. Fri Aug 28 23:27:46 2026 read 3544688 cycles
  190. Fri Aug 28 23:27:50 2026 cycles contain 12100564 unique relations
  191. Fri Aug 28 23:27:59 2026 read 12100564 relations
  192. Fri Aug 28 23:28:31 2026 multiplying 12100564 relations
  193. Fri Aug 28 23:29:19 2026 multiply complete, coefficients have about 630.53 million bits
  194. Fri Aug 28 23:29:20 2026 initial square root is modulo 453889
  195. Fri Aug 28 23:31:57 2026 sqrtTime: 503
  196. Fri Aug 28 23:31:57 2026 p78 factor: 323569697339807155002956886337398608661365509716484703844682621315906444049479
  197. Fri Aug 28 23:31:57 2026 p87 factor: 835596020005244814390205888330938153382613694154939536011475915745826091150287773212601
  198. Fri Aug 28 23:31:57 2026 elapsed time 00:08:24
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