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Dec 2nd, 2025
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  1. Tue Dec 2 15:04:28 2025
  2. Tue Dec 2 15:04:28 2025
  3. Tue Dec 2 15:04:28 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 2 15:04:28 2025 random seeds: 8fb7e1d1 6f2cf43e
  5. Tue Dec 2 15:04:28 2025 MPI process 0 of 1
  6. Tue Dec 2 15:04:28 2025 Using 32 OpenMP threads
  7. Tue Dec 2 15:04:28 2025 factoring 20454254655279094660483876554072164044118845852034500438404891946657822548154437322850262304275781880088156194306471712778639970344479420595389317592677185060178763173 (167 digits)
  8. Tue Dec 2 15:04:29 2025 searching for 15-digit factors
  9. Tue Dec 2 15:04:30 2025 commencing number field sieve (167-digit input)
  10. Tue Dec 2 15:04:30 2025 R0: -256691939296546106752887522133849
  11. Tue Dec 2 15:04:30 2025 R1: 431619589112266831664333
  12. Tue Dec 2 15:04:30 2025 A0: -765061191840246985446919368401903745360
  13. Tue Dec 2 15:04:30 2025 A1: -1475402191265528793554109615308294
  14. Tue Dec 2 15:04:30 2025 A2: 5216774503137089980753059
  15. Tue Dec 2 15:04:30 2025 A3: -5677190908176633925
  16. Tue Dec 2 15:04:30 2025 A4: 2556070009122
  17. Tue Dec 2 15:04:30 2025 A5: 105840
  18. Tue Dec 2 15:04:30 2025 skew 10945857.91, size 4.905e-16, alpha -7.881, combined = 7.743e-13 rroots = 3
  19. Tue Dec 2 15:04:30 2025
  20. Tue Dec 2 15:04:30 2025 commencing relation filtering
  21. Tue Dec 2 15:04:30 2025 setting target matrix density to 120.0
  22. Tue Dec 2 15:04:30 2025 estimated available RAM is 257736.5 MB
  23. Tue Dec 2 15:04:30 2025 commencing duplicate removal, pass 1
  24. Tue Dec 2 15:05:36 2025 error -1 reading relation 28148142
  25. Tue Dec 2 15:09:51 2025 error -1 reading relation 136944417
  26. Tue Dec 2 15:11:41 2025 error -1 reading relation 182862836
  27. Tue Dec 2 15:11:43 2025 error -1 reading relation 183928115
  28. Tue Dec 2 15:11:44 2025 error -1 reading relation 184228105
  29. Tue Dec 2 15:12:48 2025 error -1 reading relation 210044754
  30. Tue Dec 2 15:12:49 2025 error -1 reading relation 210578162
  31. Tue Dec 2 15:13:09 2025 error -1 reading relation 218320941
  32. Tue Dec 2 15:14:25 2025 error -1 reading relation 246112676
  33. Tue Dec 2 15:14:29 2025 error -1 reading relation 247771004
  34. Tue Dec 2 15:15:32 2025 skipped 1 relations with composite factors
  35. Tue Dec 2 15:15:32 2025 skipped 94 malformed relations
  36. Tue Dec 2 15:15:32 2025 found 51565676 hash collisions in 272627707 relations
  37. Tue Dec 2 15:16:10 2025 commencing duplicate removal, pass 2
  38. Tue Dec 2 15:25:24 2025 found 48887615 duplicates and 223740092 unique relations
  39. Tue Dec 2 15:25:24 2025 memory use: 1449.5 MB
  40. Tue Dec 2 15:25:25 2025 reading ideals above 720000
  41. Tue Dec 2 15:25:25 2025 commencing singleton removal, initial pass
  42. Tue Dec 2 15:55:29 2025 memory use: 6024.0 MB
  43. Tue Dec 2 15:55:30 2025 reading all ideals from disk
  44. Tue Dec 2 15:55:38 2025 memory use: 10246.1 MB
  45. Tue Dec 2 15:56:32 2025 keeping 222083800 ideals with weight <= 200, target excess is 1086222
  46. Tue Dec 2 15:57:39 2025 commencing in-memory singleton removal
  47. Tue Dec 2 15:57:43 2025 begin with 223740092 relations and 222083800 unique ideals
  48. Tue Dec 2 15:58:05 2025 reduce to 113088065 relations and 96578975 ideals in 16 passes
  49. Tue Dec 2 15:58:05 2025 max relations containing the same ideal: 136
  50. Tue Dec 2 15:59:30 2025 removing 12751818 relations and 10751818 ideals in 2000000 cliques
  51. Tue Dec 2 15:59:37 2025 commencing in-memory singleton removal
  52. Tue Dec 2 15:59:40 2025 begin with 100336247 relations and 96578975 unique ideals
  53. Tue Dec 2 15:59:48 2025 reduce to 99199459 relations and 84664068 ideals in 9 passes
  54. Tue Dec 2 15:59:48 2025 max relations containing the same ideal: 121
  55. Tue Dec 2 16:01:03 2025 removing 9726474 relations and 7726474 ideals in 2000000 cliques
  56. Tue Dec 2 16:01:10 2025 commencing in-memory singleton removal
  57. Tue Dec 2 16:01:11 2025 begin with 89472985 relations and 84664068 unique ideals
  58. Tue Dec 2 16:01:18 2025 reduce to 88684346 relations and 76132636 ideals in 8 passes
  59. Tue Dec 2 16:01:18 2025 max relations containing the same ideal: 113
  60. Tue Dec 2 16:02:31 2025 removing 8832231 relations and 6832231 ideals in 2000000 cliques
  61. Tue Dec 2 16:02:38 2025 commencing in-memory singleton removal
  62. Tue Dec 2 16:02:40 2025 begin with 79852115 relations and 76132636 unique ideals
  63. Tue Dec 2 16:02:46 2025 reduce to 79121446 relations and 68553964 ideals in 9 passes
  64. Tue Dec 2 16:02:46 2025 max relations containing the same ideal: 105
  65. Tue Dec 2 16:03:47 2025 removing 8399021 relations and 6399021 ideals in 2000000 cliques
  66. Tue Dec 2 16:03:53 2025 commencing in-memory singleton removal
  67. Tue Dec 2 16:03:55 2025 begin with 70722425 relations and 68553964 unique ideals
  68. Tue Dec 2 16:04:00 2025 reduce to 69980957 relations and 61396022 ideals in 10 passes
  69. Tue Dec 2 16:04:00 2025 max relations containing the same ideal: 98
  70. Tue Dec 2 16:04:53 2025 removing 8178721 relations and 6178721 ideals in 2000000 cliques
  71. Tue Dec 2 16:04:59 2025 commencing in-memory singleton removal
  72. Tue Dec 2 16:05:00 2025 begin with 61802236 relations and 61396022 unique ideals
  73. Tue Dec 2 16:05:04 2025 reduce to 61006793 relations and 54401662 ideals in 9 passes
  74. Tue Dec 2 16:05:04 2025 max relations containing the same ideal: 89
  75. Tue Dec 2 16:05:49 2025 removing 8084946 relations and 6084946 ideals in 2000000 cliques
  76. Tue Dec 2 16:05:54 2025 commencing in-memory singleton removal
  77. Tue Dec 2 16:05:55 2025 begin with 52921847 relations and 54401662 unique ideals
  78. Tue Dec 2 16:05:58 2025 reduce to 52026026 relations and 47394396 ideals in 10 passes
  79. Tue Dec 2 16:05:58 2025 max relations containing the same ideal: 82
  80. Tue Dec 2 16:06:37 2025 removing 8084565 relations and 6084565 ideals in 2000000 cliques
  81. Tue Dec 2 16:06:42 2025 commencing in-memory singleton removal
  82. Tue Dec 2 16:06:43 2025 begin with 43941461 relations and 47394396 unique ideals
  83. Tue Dec 2 16:06:46 2025 reduce to 42868504 relations and 40200012 ideals in 10 passes
  84. Tue Dec 2 16:06:46 2025 max relations containing the same ideal: 69
  85. Tue Dec 2 16:07:20 2025 removing 6277229 relations and 4868755 ideals in 1408474 cliques
  86. Tue Dec 2 16:07:25 2025 commencing in-memory singleton removal
  87. Tue Dec 2 16:07:25 2025 begin with 36591275 relations and 40200012 unique ideals
  88. Tue Dec 2 16:07:28 2025 reduce to 35813242 relations and 34530067 ideals in 10 passes
  89. Tue Dec 2 16:07:28 2025 max relations containing the same ideal: 61
  90. Tue Dec 2 16:07:56 2025 removing 224113 relations and 200956 ideals in 23157 cliques
  91. Tue Dec 2 16:07:58 2025 commencing in-memory singleton removal
  92. Tue Dec 2 16:07:59 2025 begin with 35589129 relations and 34530067 unique ideals
  93. Tue Dec 2 16:08:00 2025 reduce to 35588237 relations and 34328218 ideals in 6 passes
  94. Tue Dec 2 16:08:00 2025 max relations containing the same ideal: 61
  95. Tue Dec 2 16:08:06 2025 relations with 0 large ideals: 3883
  96. Tue Dec 2 16:08:06 2025 relations with 1 large ideals: 35187
  97. Tue Dec 2 16:08:06 2025 relations with 2 large ideals: 443891
  98. Tue Dec 2 16:08:06 2025 relations with 3 large ideals: 2304964
  99. Tue Dec 2 16:08:06 2025 relations with 4 large ideals: 6286449
  100. Tue Dec 2 16:08:06 2025 relations with 5 large ideals: 9890262
  101. Tue Dec 2 16:08:06 2025 relations with 6 large ideals: 9342754
  102. Tue Dec 2 16:08:06 2025 relations with 7+ large ideals: 7280847
  103. Tue Dec 2 16:08:06 2025 commencing 2-way merge
  104. Tue Dec 2 16:08:46 2025 reduce to 20924641 relation sets and 19664622 unique ideals
  105. Tue Dec 2 16:08:46 2025 commencing full merge
  106. Tue Dec 2 16:21:37 2025 memory use: 2302.2 MB
  107. Tue Dec 2 16:21:40 2025 found 8997406 cycles, need 8956822
  108. Tue Dec 2 16:21:45 2025 weight of 8956822 cycles is about 1074954167 (120.02/cycle)
  109. Tue Dec 2 16:21:45 2025 distribution of cycle lengths:
  110. Tue Dec 2 16:21:45 2025 1 relations: 717276
  111. Tue Dec 2 16:21:45 2025 2 relations: 624300
  112. Tue Dec 2 16:21:45 2025 3 relations: 616234
  113. Tue Dec 2 16:21:45 2025 4 relations: 597389
  114. Tue Dec 2 16:21:45 2025 5 relations: 599062
  115. Tue Dec 2 16:21:45 2025 6 relations: 575123
  116. Tue Dec 2 16:21:45 2025 7 relations: 564521
  117. Tue Dec 2 16:21:45 2025 8 relations: 535018
  118. Tue Dec 2 16:21:45 2025 9 relations: 512926
  119. Tue Dec 2 16:21:45 2025 10+ relations: 3614973
  120. Tue Dec 2 16:21:45 2025 heaviest cycle: 28 relations
  121. Tue Dec 2 16:21:49 2025 commencing cycle optimization
  122. Tue Dec 2 16:22:26 2025 start with 79599405 relations
  123. Tue Dec 2 16:27:29 2025 pruned 3012638 relations
  124. Tue Dec 2 16:27:29 2025 memory use: 2242.1 MB
  125. Tue Dec 2 16:27:29 2025 distribution of cycle lengths:
  126. Tue Dec 2 16:27:29 2025 1 relations: 717276
  127. Tue Dec 2 16:27:29 2025 2 relations: 639593
  128. Tue Dec 2 16:27:29 2025 3 relations: 639178
  129. Tue Dec 2 16:27:29 2025 4 relations: 618340
  130. Tue Dec 2 16:27:29 2025 5 relations: 622315
  131. Tue Dec 2 16:27:29 2025 6 relations: 597181
  132. Tue Dec 2 16:27:29 2025 7 relations: 586547
  133. Tue Dec 2 16:27:29 2025 8 relations: 555180
  134. Tue Dec 2 16:27:29 2025 9 relations: 530998
  135. Tue Dec 2 16:27:29 2025 10+ relations: 3450214
  136. Tue Dec 2 16:27:29 2025 heaviest cycle: 28 relations
  137. Tue Dec 2 16:27:57 2025 RelProcTime: 5007
  138. Tue Dec 2 16:27:57 2025
  139. Tue Dec 2 16:27:57 2025 commencing linear algebra
  140. Tue Dec 2 16:27:57 2025 using VBITS=256
  141. Tue Dec 2 16:27:57 2025 stopping after matrix build
  142. Tue Dec 2 16:27:57 2025 initialized process (0,0) of 1 x 1 grid
  143. Tue Dec 2 16:27:59 2025 read 8956822 cycles
  144. Tue Dec 2 16:28:33 2025 cycles contain 34616941 unique relations
  145. Tue Dec 2 16:34:39 2025 read 34616941 relations
  146. Tue Dec 2 16:34:43 2025 using 20 quadratic characters above 4294917295
  147. Tue Dec 2 16:34:49 2025 building initial matrix
  148. Tue Dec 2 16:47:28 2025 memory use: 4647.2 MB
  149. Tue Dec 2 16:47:41 2025 read 8956822 cycles
  150. Tue Dec 2 16:47:44 2025 matrix is 8956644 x 8956822 (4234.6 MB) with weight 1294760137 (144.56/col)
  151. Tue Dec 2 16:47:44 2025 sparse part has weight 1002591796 (111.94/col)
  152. Tue Dec 2 16:51:33 2025 filtering completed in 2 passes
  153. Tue Dec 2 16:51:37 2025 matrix is 8955783 x 8955961 (4234.5 MB) with weight 1294716392 (144.56/col)
  154. Tue Dec 2 16:51:37 2025 sparse part has weight 1002578475 (111.95/col)
  155. Tue Dec 2 16:52:44 2025 BLanczosTime: 1487
  156. Tue Dec 2 16:52:44 2025 elapsed time 01:48:16
  157. Tue Dec 2 17:01:25 2025
  158. Tue Dec 2 17:01:25 2025
  159. Tue Dec 2 17:01:25 2025 Msieve v. 1.54 (SVN Unversioned directory)
  160. Tue Dec 2 17:01:25 2025 random seeds: dedc5eb0 cc7d3b37
  161. Tue Dec 2 17:01:25 2025 MPI process 0 of 1
  162. Tue Dec 2 17:01:25 2025 Using 64 OpenMP threads
  163. Tue Dec 2 17:01:25 2025 factoring 20454254655279094660483876554072164044118845852034500438404891946657822548154437322850262304275781880088156194306471712778639970344479420595389317592677185060178763173 (167 digits)
  164. Tue Dec 2 17:01:26 2025 searching for 15-digit factors
  165. Tue Dec 2 17:01:26 2025 commencing number field sieve (167-digit input)
  166. Tue Dec 2 17:01:26 2025 R0: -256691939296546106752887522133849
  167. Tue Dec 2 17:01:26 2025 R1: 431619589112266831664333
  168. Tue Dec 2 17:01:26 2025 A0: -765061191840246985446919368401903745360
  169. Tue Dec 2 17:01:26 2025 A1: -1475402191265528793554109615308294
  170. Tue Dec 2 17:01:26 2025 A2: 5216774503137089980753059
  171. Tue Dec 2 17:01:26 2025 A3: -5677190908176633925
  172. Tue Dec 2 17:01:26 2025 A4: 2556070009122
  173. Tue Dec 2 17:01:26 2025 A5: 105840
  174. Tue Dec 2 17:01:26 2025 skew 10945857.91, size 4.905e-16, alpha -7.881, combined = 7.743e-13 rroots = 3
  175. Tue Dec 2 17:01:26 2025
  176. Tue Dec 2 17:01:26 2025 commencing linear algebra
  177. Tue Dec 2 17:01:26 2025 using VBITS=256
  178. Tue Dec 2 17:01:26 2025 skipping matrix build
  179. Tue Dec 2 17:01:26 2025 initialized process (0,0) of 1 x 1 grid
  180. Tue Dec 2 17:01:31 2025 matrix starts at (0, 0)
  181. Tue Dec 2 17:01:32 2025 matrix is 8955783 x 8955961 (4234.5 MB) with weight 1294716392 (144.56/col)
  182. Tue Dec 2 17:01:32 2025 sparse part has weight 1002578475 (111.95/col)
  183. Tue Dec 2 17:01:32 2025 saving the first 240 matrix rows for later
  184. Tue Dec 2 17:01:34 2025 matrix includes 256 packed rows
  185. Tue Dec 2 17:01:37 2025 matrix is 8955543 x 8955961 (3829.9 MB) with weight 918556719 (102.56/col)
  186. Tue Dec 2 17:01:37 2025 sparse part has weight 860687325 (96.10/col)
  187. Tue Dec 2 17:01:37 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  188. Tue Dec 2 17:01:55 2025 commencing Lanczos iteration (64 threads)
  189. Tue Dec 2 17:01:55 2025 memory use: 5523.9 MB
  190. Tue Dec 2 17:03:06 2025 linear algebra at 0.3%, ETA 5h35m
  191. Tue Dec 2 17:04:50 2025 checking every 20000 dimensions, checkpointing every 1600000 dimensions
  192. Tue Dec 2 22:35:34 2025 lanczos halted after 35089 iterations (dim = 8955541)
  193. Tue Dec 2 22:36:13 2025 recovered 28 nontrivial dependencies
  194. Tue Dec 2 22:36:13 2025 BLanczosTime: 20087
  195. Tue Dec 2 22:36:13 2025
  196. Tue Dec 2 22:36:13 2025 commencing square root phase
  197. Tue Dec 2 22:36:13 2025 handling dependencies 1 to 64
  198. Tue Dec 2 22:36:13 2025 reading relations for dependency 1
  199. Tue Dec 2 22:36:14 2025 read 4478650 cycles
  200. Tue Dec 2 22:36:21 2025 cycles contain 17312388 unique relations
  201. Tue Dec 2 22:41:02 2025 read 17312388 relations
  202. Tue Dec 2 22:43:44 2025 multiplying 17312388 relations
  203. Tue Dec 2 22:46:48 2025 multiply complete, coefficients have about 922.06 million bits
  204. Tue Dec 2 22:46:52 2025 initial square root is modulo 187185883
  205. Tue Dec 2 22:57:43 2025 sqrtTime: 1290
  206. Tue Dec 2 22:57:43 2025 p74 factor: 49552804896276478626247363034277185369360287647516121600110785405207163317
  207. Tue Dec 2 22:57:43 2025 p93 factor: 412776929542006175723576907478909876423507152270990249609638934664248143093254758409151377969
  208. Tue Dec 2 22:57:43 2025 elapsed time 05:56:18
  209.  
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