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Oct 6th, 2025
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  1. Sun Oct 5 09:36:01 2025
  2. Sun Oct 5 09:36:01 2025
  3. Sun Oct 5 09:36:01 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 5 09:36:01 2025 random seeds: da4a360d 3fa22191
  5. Sun Oct 5 09:36:01 2025 MPI process 0 of 1
  6. Sun Oct 5 09:36:01 2025 Using 32 OpenMP threads
  7. Sun Oct 5 09:36:01 2025 factoring 5061740790628675188872416198685936115329768762477675611560668592178824000944472309736958858643607996762466831931040859394801419871235746232685266213816545523591 (160 digits)
  8. Sun Oct 5 09:36:02 2025 searching for 15-digit factors
  9. Sun Oct 5 09:36:03 2025 commencing number field sieve (160-digit input)
  10. Sun Oct 5 09:36:03 2025 R0: 5874608429648634883190612961116
  11. Sun Oct 5 09:36:03 2025 R1: 2260888345054567257573073
  12. Sun Oct 5 09:36:03 2025 A0: 3142899059049182812567574259695759607
  13. Sun Oct 5 09:36:03 2025 A1: 12563283460285807602868128317844
  14. Sun Oct 5 09:36:03 2025 A2: -312673430469685258769531
  15. Sun Oct 5 09:36:03 2025 A3: -6564712739324145168
  16. Sun Oct 5 09:36:03 2025 A4: 125377630248
  17. Sun Oct 5 09:36:03 2025 A5: 30240
  18. Sun Oct 5 09:36:03 2025 skew 2368757.08, size 2.320e-15, alpha -6.375, combined = 1.929e-12 rroots = 5
  19. Sun Oct 5 09:36:03 2025
  20. Sun Oct 5 09:36:03 2025 commencing relation filtering
  21. Sun Oct 5 09:36:03 2025 setting target matrix density to 130.0
  22. Sun Oct 5 09:36:03 2025 estimated available RAM is 257736.5 MB
  23. Sun Oct 5 09:36:03 2025 commencing duplicate removal, pass 1
  24. Sun Oct 5 09:37:07 2025 error -1 reading relation 26634013
  25. Sun Oct 5 09:38:39 2025 error -1 reading relation 66482867
  26. Sun Oct 5 09:39:01 2025 error -1 reading relation 76079976
  27. Sun Oct 5 09:39:06 2025 error -1 reading relation 77791698
  28. Sun Oct 5 09:40:06 2025 error -1 reading relation 103731592
  29. Sun Oct 5 09:40:19 2025 error -15 reading relation 108853570
  30. Sun Oct 5 09:40:49 2025 error -1 reading relation 121452008
  31. Sun Oct 5 09:41:05 2025 skipped 59 malformed relations
  32. Sun Oct 5 09:41:05 2025 found 20673308 hash collisions in 128189534 relations
  33. Sun Oct 5 09:41:43 2025 added 121800 free relations
  34. Sun Oct 5 09:41:43 2025 commencing duplicate removal, pass 2
  35. Sun Oct 5 09:45:50 2025 found 17941408 duplicates and 110369926 unique relations
  36. Sun Oct 5 09:45:50 2025 memory use: 660.8 MB
  37. Sun Oct 5 09:45:50 2025 reading ideals above 720000
  38. Sun Oct 5 09:45:51 2025 commencing singleton removal, initial pass
  39. Sun Oct 5 09:57:10 2025 memory use: 2756.0 MB
  40. Sun Oct 5 09:57:11 2025 reading all ideals from disk
  41. Sun Oct 5 09:57:14 2025 memory use: 4941.8 MB
  42. Sun Oct 5 09:57:35 2025 keeping 92093333 ideals with weight <= 200, target excess is 571779
  43. Sun Oct 5 09:58:01 2025 commencing in-memory singleton removal
  44. Sun Oct 5 09:58:03 2025 begin with 110369926 relations and 92093333 unique ideals
  45. Sun Oct 5 09:58:12 2025 reduce to 78652470 relations and 57652046 ideals in 12 passes
  46. Sun Oct 5 09:58:12 2025 max relations containing the same ideal: 170
  47. Sun Oct 5 09:59:01 2025 removing 7969111 relations and 5969111 ideals in 2000000 cliques
  48. Sun Oct 5 09:59:06 2025 commencing in-memory singleton removal
  49. Sun Oct 5 09:59:08 2025 begin with 70683359 relations and 57652046 unique ideals
  50. Sun Oct 5 09:59:12 2025 reduce to 70048496 relations and 51028019 ideals in 8 passes
  51. Sun Oct 5 09:59:12 2025 max relations containing the same ideal: 157
  52. Sun Oct 5 10:00:10 2025 removing 6326019 relations and 4326019 ideals in 2000000 cliques
  53. Sun Oct 5 10:00:16 2025 commencing in-memory singleton removal
  54. Sun Oct 5 10:00:17 2025 begin with 63722477 relations and 51028019 unique ideals
  55. Sun Oct 5 10:00:20 2025 reduce to 63288351 relations and 46255497 ideals in 7 passes
  56. Sun Oct 5 10:00:20 2025 max relations containing the same ideal: 149
  57. Sun Oct 5 10:01:08 2025 removing 5894948 relations and 3894948 ideals in 2000000 cliques
  58. Sun Oct 5 10:01:13 2025 commencing in-memory singleton removal
  59. Sun Oct 5 10:01:14 2025 begin with 57393403 relations and 46255497 unique ideals
  60. Sun Oct 5 10:01:17 2025 reduce to 57010567 relations and 41966511 ideals in 7 passes
  61. Sun Oct 5 10:01:17 2025 max relations containing the same ideal: 140
  62. Sun Oct 5 10:01:58 2025 removing 5670084 relations and 3670084 ideals in 2000000 cliques
  63. Sun Oct 5 10:02:03 2025 commencing in-memory singleton removal
  64. Sun Oct 5 10:02:04 2025 begin with 51340483 relations and 41966511 unique ideals
  65. Sun Oct 5 10:02:06 2025 reduce to 50974723 relations and 37919416 ideals in 6 passes
  66. Sun Oct 5 10:02:06 2025 max relations containing the same ideal: 127
  67. Sun Oct 5 10:02:42 2025 removing 5533845 relations and 3533845 ideals in 2000000 cliques
  68. Sun Oct 5 10:02:46 2025 commencing in-memory singleton removal
  69. Sun Oct 5 10:02:47 2025 begin with 45440878 relations and 37919416 unique ideals
  70. Sun Oct 5 10:02:50 2025 reduce to 45072557 relations and 34004780 ideals in 7 passes
  71. Sun Oct 5 10:02:50 2025 max relations containing the same ideal: 120
  72. Sun Oct 5 10:03:24 2025 removing 5441751 relations and 3441751 ideals in 2000000 cliques
  73. Sun Oct 5 10:03:28 2025 commencing in-memory singleton removal
  74. Sun Oct 5 10:03:29 2025 begin with 39630806 relations and 34004780 unique ideals
  75. Sun Oct 5 10:03:31 2025 reduce to 39246433 relations and 30164078 ideals in 7 passes
  76. Sun Oct 5 10:03:31 2025 max relations containing the same ideal: 110
  77. Sun Oct 5 10:03:57 2025 removing 5380045 relations and 3380045 ideals in 2000000 cliques
  78. Sun Oct 5 10:04:00 2025 commencing in-memory singleton removal
  79. Sun Oct 5 10:04:01 2025 begin with 33866388 relations and 30164078 unique ideals
  80. Sun Oct 5 10:04:02 2025 reduce to 33451432 relations and 26351450 ideals in 7 passes
  81. Sun Oct 5 10:04:02 2025 max relations containing the same ideal: 98
  82. Sun Oct 5 10:04:27 2025 removing 5338902 relations and 3338902 ideals in 2000000 cliques
  83. Sun Oct 5 10:04:30 2025 commencing in-memory singleton removal
  84. Sun Oct 5 10:04:30 2025 begin with 28112530 relations and 26351450 unique ideals
  85. Sun Oct 5 10:04:32 2025 reduce to 27650379 relations and 22527463 ideals in 7 passes
  86. Sun Oct 5 10:04:32 2025 max relations containing the same ideal: 85
  87. Sun Oct 5 10:04:51 2025 removing 5310925 relations and 3310925 ideals in 2000000 cliques
  88. Sun Oct 5 10:04:54 2025 commencing in-memory singleton removal
  89. Sun Oct 5 10:04:54 2025 begin with 22339454 relations and 22527463 unique ideals
  90. Sun Oct 5 10:04:55 2025 reduce to 21802143 relations and 18647557 ideals in 6 passes
  91. Sun Oct 5 10:04:55 2025 max relations containing the same ideal: 73
  92. Sun Oct 5 10:05:10 2025 removing 5286835 relations and 3286835 ideals in 2000000 cliques
  93. Sun Oct 5 10:05:13 2025 commencing in-memory singleton removal
  94. Sun Oct 5 10:05:13 2025 begin with 16515308 relations and 18647557 unique ideals
  95. Sun Oct 5 10:05:14 2025 reduce to 15852209 relations and 14648105 ideals in 8 passes
  96. Sun Oct 5 10:05:14 2025 max relations containing the same ideal: 58
  97. Sun Oct 5 10:05:25 2025 removing 1773336 relations and 1232496 ideals in 540840 cliques
  98. Sun Oct 5 10:05:27 2025 commencing in-memory singleton removal
  99. Sun Oct 5 10:05:27 2025 begin with 14078873 relations and 14648105 unique ideals
  100. Sun Oct 5 10:05:27 2025 reduce to 13917242 relations and 13248755 ideals in 7 passes
  101. Sun Oct 5 10:05:27 2025 max relations containing the same ideal: 54
  102. Sun Oct 5 10:05:40 2025 relations with 0 large ideals: 1831
  103. Sun Oct 5 10:05:40 2025 relations with 1 large ideals: 15131
  104. Sun Oct 5 10:05:40 2025 relations with 2 large ideals: 187302
  105. Sun Oct 5 10:05:40 2025 relations with 3 large ideals: 953703
  106. Sun Oct 5 10:05:40 2025 relations with 4 large ideals: 2506119
  107. Sun Oct 5 10:05:40 2025 relations with 5 large ideals: 3799955
  108. Sun Oct 5 10:05:40 2025 relations with 6 large ideals: 3538995
  109. Sun Oct 5 10:05:40 2025 relations with 7+ large ideals: 2914206
  110. Sun Oct 5 10:05:40 2025 commencing 2-way merge
  111. Sun Oct 5 10:05:54 2025 reduce to 9471692 relation sets and 8803205 unique ideals
  112. Sun Oct 5 10:05:54 2025 commencing full merge
  113. Sun Oct 5 10:12:51 2025 memory use: 1142.7 MB
  114. Sun Oct 5 10:12:52 2025 found 4223984 cycles, need 4171405
  115. Sun Oct 5 10:12:55 2025 weight of 4171405 cycles is about 542729634 (130.11/cycle)
  116. Sun Oct 5 10:12:55 2025 distribution of cycle lengths:
  117. Sun Oct 5 10:12:55 2025 1 relations: 62942
  118. Sun Oct 5 10:12:55 2025 2 relations: 183500
  119. Sun Oct 5 10:12:55 2025 3 relations: 251289
  120. Sun Oct 5 10:12:55 2025 4 relations: 282841
  121. Sun Oct 5 10:12:55 2025 5 relations: 308689
  122. Sun Oct 5 10:12:55 2025 6 relations: 317890
  123. Sun Oct 5 10:12:55 2025 7 relations: 321424
  124. Sun Oct 5 10:12:55 2025 8 relations: 311418
  125. Sun Oct 5 10:12:55 2025 9 relations: 297397
  126. Sun Oct 5 10:12:55 2025 10+ relations: 1834015
  127. Sun Oct 5 10:12:55 2025 heaviest cycle: 28 relations
  128. Sun Oct 5 10:12:57 2025 commencing cycle optimization
  129. Sun Oct 5 10:13:15 2025 start with 39358826 relations
  130. Sun Oct 5 10:16:14 2025 pruned 2225314 relations
  131. Sun Oct 5 10:16:14 2025 memory use: 980.6 MB
  132. Sun Oct 5 10:16:14 2025 distribution of cycle lengths:
  133. Sun Oct 5 10:16:14 2025 1 relations: 62942
  134. Sun Oct 5 10:16:14 2025 2 relations: 189559
  135. Sun Oct 5 10:16:14 2025 3 relations: 264338
  136. Sun Oct 5 10:16:14 2025 4 relations: 298433
  137. Sun Oct 5 10:16:14 2025 5 relations: 329896
  138. Sun Oct 5 10:16:14 2025 6 relations: 339561
  139. Sun Oct 5 10:16:14 2025 7 relations: 345033
  140. Sun Oct 5 10:16:14 2025 8 relations: 333228
  141. Sun Oct 5 10:16:14 2025 9 relations: 316792
  142. Sun Oct 5 10:16:14 2025 10+ relations: 1691623
  143. Sun Oct 5 10:16:14 2025 heaviest cycle: 27 relations
  144. Sun Oct 5 10:16:27 2025 RelProcTime: 2424
  145. Sun Oct 5 10:16:27 2025
  146. Sun Oct 5 10:16:27 2025 commencing linear algebra
  147. Sun Oct 5 10:16:27 2025 using VBITS=256
  148. Sun Oct 5 10:16:27 2025 stopping after matrix build
  149. Sun Oct 5 10:16:27 2025 initialized process (0,0) of 1 x 1 grid
  150. Sun Oct 5 10:16:28 2025 read 4171405 cycles
  151. Sun Oct 5 10:16:42 2025 cycles contain 13595063 unique relations
  152. Sun Oct 5 10:19:30 2025 read 13595063 relations
  153. Sun Oct 5 10:19:31 2025 using 20 quadratic characters above 4294917295
  154. Sun Oct 5 10:19:34 2025 building initial matrix
  155. Sun Oct 5 10:25:03 2025 memory use: 1831.8 MB
  156. Sun Oct 5 10:25:08 2025 read 4171405 cycles
  157. Sun Oct 5 10:25:09 2025 matrix is 4171228 x 4171405 (2080.3 MB) with weight 629039329 (150.80/col)
  158. Sun Oct 5 10:25:09 2025 sparse part has weight 495287529 (118.73/col)
  159. Sun Oct 5 10:26:39 2025 filtering completed in 2 passes
  160. Sun Oct 5 10:26:41 2025 matrix is 4171122 x 4171299 (2080.3 MB) with weight 629033210 (150.80/col)
  161. Sun Oct 5 10:26:41 2025 sparse part has weight 495284976 (118.74/col)
  162. Sun Oct 5 10:27:12 2025 BLanczosTime: 645
  163. Sun Oct 5 10:27:12 2025 elapsed time 00:51:11
  164. Sun Oct 5 12:36:00 2025
  165. Sun Oct 5 12:36:00 2025
  166. Sun Oct 5 12:36:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  167. Sun Oct 5 12:36:00 2025 random seeds: db104113 fafcabf8
  168. Sun Oct 5 12:36:00 2025 MPI process 0 of 1
  169. Sun Oct 5 12:36:00 2025 Using 64 OpenMP threads
  170. Sun Oct 5 12:36:00 2025 factoring 5061740790628675188872416198685936115329768762477675611560668592178824000944472309736958858643607996762466831931040859394801419871235746232685266213816545523591 (160 digits)
  171. Sun Oct 5 12:36:01 2025 searching for 15-digit factors
  172. Sun Oct 5 12:36:01 2025 commencing number field sieve (160-digit input)
  173. Sun Oct 5 12:36:01 2025 R0: 5874608429648634883190612961116
  174. Sun Oct 5 12:36:01 2025 R1: 2260888345054567257573073
  175. Sun Oct 5 12:36:01 2025 A0: 3142899059049182812567574259695759607
  176. Sun Oct 5 12:36:01 2025 A1: 12563283460285807602868128317844
  177. Sun Oct 5 12:36:01 2025 A2: -312673430469685258769531
  178. Sun Oct 5 12:36:01 2025 A3: -6564712739324145168
  179. Sun Oct 5 12:36:01 2025 A4: 125377630248
  180. Sun Oct 5 12:36:01 2025 A5: 30240
  181. Sun Oct 5 12:36:01 2025 skew 2368757.08, size 2.320e-15, alpha -6.375, combined = 1.929e-12 rroots = 5
  182. Sun Oct 5 12:36:01 2025
  183. Sun Oct 5 12:36:01 2025 commencing linear algebra
  184. Sun Oct 5 12:36:01 2025 using VBITS=256
  185. Sun Oct 5 12:36:01 2025 skipping matrix build
  186. Sun Oct 5 12:36:01 2025 initialized process (0,0) of 1 x 1 grid
  187. Sun Oct 5 12:36:04 2025 matrix starts at (0, 0)
  188. Sun Oct 5 12:36:05 2025 matrix is 4171122 x 4171299 (2080.3 MB) with weight 629033210 (150.80/col)
  189. Sun Oct 5 12:36:05 2025 sparse part has weight 495284976 (118.74/col)
  190. Sun Oct 5 12:36:05 2025 saving the first 240 matrix rows for later
  191. Sun Oct 5 12:36:06 2025 matrix includes 256 packed rows
  192. Sun Oct 5 12:36:07 2025 matrix is 4170882 x 4171299 (1853.8 MB) with weight 449948004 (107.87/col)
  193. Sun Oct 5 12:36:07 2025 sparse part has weight 419228424 (100.50/col)
  194. Sun Oct 5 12:36:07 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Sun Oct 5 12:36:16 2025 commencing Lanczos iteration (64 threads)
  196. Sun Oct 5 12:36:16 2025 memory use: 2627.5 MB
  197. Sun Oct 5 12:36:48 2025 linear algebra at 0.7%, ETA 1h 9m
  198. Sun Oct 5 12:37:35 2025 checking every 50000 dimensions, checkpointing every 3550000 dimensions
  199. Sun Oct 5 13:48:08 2025 lanczos halted after 16342 iterations (dim = 4170880)
  200. Sun Oct 5 13:48:32 2025 recovered 27 nontrivial dependencies
  201. Sun Oct 5 13:48:32 2025 BLanczosTime: 4351
  202. Sun Oct 5 13:48:32 2025
  203. Sun Oct 5 13:48:32 2025 commencing square root phase
  204. Sun Oct 5 13:48:32 2025 handling dependencies 1 to 64
  205. Sun Oct 5 13:48:32 2025 reading relations for dependency 1
  206. Sun Oct 5 13:48:33 2025 read 2086622 cycles
  207. Sun Oct 5 13:48:41 2025 cycles contain 6799036 unique relations
  208. Sun Oct 5 13:50:46 2025 read 6799036 relations
  209. Sun Oct 5 13:51:41 2025 multiplying 6799036 relations
  210. Sun Oct 5 13:52:48 2025 multiply complete, coefficients have about 352.30 million bits
  211. Sun Oct 5 13:52:49 2025 initial square root is modulo 2096111
  212. Sun Oct 5 13:55:35 2025 sqrtTime: 423
  213. Sun Oct 5 13:55:35 2025 p62 factor: 17707093012894085948755465872945755748963469404562094249186179
  214. Sun Oct 5 13:55:35 2025 p99 factor: 285859502005370288660410618553294193095874508412657247482773989489222573134300483165555751800723629
  215. Sun Oct 5 13:55:35 2025 elapsed time 01:19:35
  216.  
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