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Jan 12th, 2026
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  1. Fri Jan 9 11:37:24 2026
  2. Fri Jan 9 11:37:24 2026
  3. Fri Jan 9 11:37:24 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jan 9 11:37:24 2026 random seeds: 42b9e5af 6b3def22
  5. Fri Jan 9 11:37:24 2026 MPI process 0 of 1
  6. Fri Jan 9 11:37:24 2026 Using 32 OpenMP threads
  7. Fri Jan 9 11:37:24 2026 factoring 461410487403829788967785393507561418780252883273652529489809146261886778486776218957454523908651963789149333410114948217988607398400973437279047018352977313986145550277193504570702103 (183 digits)
  8. Fri Jan 9 11:37:25 2026 searching for 15-digit factors
  9. Fri Jan 9 11:37:26 2026 commencing number field sieve (183-digit input)
  10. Fri Jan 9 11:37:26 2026 reversing signs of algebraic polynomial
  11. Fri Jan 9 11:37:26 2026 R0: -132978022787304643555195627451755458
  12. Fri Jan 9 11:37:26 2026 R1: 5365680129331741804765139
  13. Fri Jan 9 11:37:26 2026 A0: 2599227049217314695101000018929532472560
  14. Fri Jan 9 11:37:26 2026 A1: 4065937181562819392593848607841624
  15. Fri Jan 9 11:37:26 2026 A2: -12441548404551413523138125653
  16. Fri Jan 9 11:37:26 2026 A3: -7028077986824914492147
  17. Fri Jan 9 11:37:26 2026 A4: 4239843585316860
  18. Fri Jan 9 11:37:26 2026 A5: 221760000
  19. Fri Jan 9 11:37:26 2026 skew 1888105.25, size 6.293e-18, alpha -5.912, combined = 5.461e-14 rroots = 5
  20. Fri Jan 9 11:37:26 2026
  21. Fri Jan 9 11:37:26 2026 commencing relation filtering
  22. Fri Jan 9 11:37:26 2026 setting target matrix density to 130.0
  23. Fri Jan 9 11:37:26 2026 reversing signs of algebraic polynomial
  24. Fri Jan 9 11:37:26 2026 estimated available RAM is 257736.5 MB
  25. Fri Jan 9 11:37:26 2026 commencing duplicate removal, pass 1
  26. Fri Jan 9 11:55:00 2026 skipped 538 malformed relations
  27. Fri Jan 9 11:55:00 2026 found 83742440 hash collisions in 425013604 relations
  28. Fri Jan 9 11:55:38 2026 added 121687 free relations
  29. Fri Jan 9 11:55:38 2026 commencing duplicate removal, pass 2
  30. Fri Jan 9 12:09:30 2026 found 85612041 duplicates and 339523250 unique relations
  31. Fri Jan 9 12:09:30 2026 memory use: 2643.0 MB
  32. Fri Jan 9 12:09:30 2026 reading ideals above 720000
  33. Fri Jan 9 12:09:30 2026 commencing singleton removal, initial pass
  34. Fri Jan 9 13:00:31 2026 memory use: 11024.0 MB
  35. Fri Jan 9 13:00:32 2026 reading all ideals from disk
  36. Fri Jan 9 13:00:44 2026 memory use: 16779.8 MB
  37. Fri Jan 9 13:02:34 2026 keeping 330952468 ideals with weight <= 200, target excess is 1712984
  38. Fri Jan 9 13:04:42 2026 commencing in-memory singleton removal
  39. Fri Jan 9 13:04:53 2026 begin with 339523250 relations and 330952468 unique ideals
  40. Fri Jan 9 13:05:33 2026 reduce to 200132554 relations and 175511777 ideals in 16 passes
  41. Fri Jan 9 13:05:33 2026 max relations containing the same ideal: 152
  42. Fri Jan 9 13:08:15 2026 removing 15064663 relations and 13064663 ideals in 2000000 cliques
  43. Fri Jan 9 13:08:27 2026 commencing in-memory singleton removal
  44. Fri Jan 9 13:08:33 2026 begin with 185067891 relations and 175511777 unique ideals
  45. Fri Jan 9 13:08:51 2026 reduce to 184115138 relations and 161480839 ideals in 9 passes
  46. Fri Jan 9 13:08:51 2026 max relations containing the same ideal: 144
  47. Fri Jan 9 13:11:25 2026 removing 11320877 relations and 9320877 ideals in 2000000 cliques
  48. Fri Jan 9 13:11:36 2026 commencing in-memory singleton removal
  49. Fri Jan 9 13:11:40 2026 begin with 172794261 relations and 161480839 unique ideals
  50. Fri Jan 9 13:11:56 2026 reduce to 172191006 relations and 151549637 ideals in 9 passes
  51. Fri Jan 9 13:11:56 2026 max relations containing the same ideal: 137
  52. Fri Jan 9 13:15:04 2026 removing 10169844 relations and 8169844 ideals in 2000000 cliques
  53. Fri Jan 9 13:15:19 2026 commencing in-memory singleton removal
  54. Fri Jan 9 13:15:23 2026 begin with 162021162 relations and 151549637 unique ideals
  55. Fri Jan 9 13:15:42 2026 reduce to 161498345 relations and 142850794 ideals in 10 passes
  56. Fri Jan 9 13:15:42 2026 max relations containing the same ideal: 133
  57. Fri Jan 9 13:18:32 2026 removing 9569805 relations and 7569805 ideals in 2000000 cliques
  58. Fri Jan 9 13:18:43 2026 commencing in-memory singleton removal
  59. Fri Jan 9 13:18:46 2026 begin with 151928540 relations and 142850794 unique ideals
  60. Fri Jan 9 13:18:59 2026 reduce to 151431558 relations and 134778117 ideals in 8 passes
  61. Fri Jan 9 13:18:59 2026 max relations containing the same ideal: 129
  62. Fri Jan 9 13:21:19 2026 removing 9207028 relations and 7207028 ideals in 2000000 cliques
  63. Fri Jan 9 13:21:29 2026 commencing in-memory singleton removal
  64. Fri Jan 9 13:21:32 2026 begin with 142224530 relations and 134778117 unique ideals
  65. Fri Jan 9 13:21:46 2026 reduce to 141738873 relations and 127079424 ideals in 9 passes
  66. Fri Jan 9 13:21:46 2026 max relations containing the same ideal: 119
  67. Fri Jan 9 13:24:21 2026 removing 8971145 relations and 6971145 ideals in 2000000 cliques
  68. Fri Jan 9 13:24:31 2026 commencing in-memory singleton removal
  69. Fri Jan 9 13:24:35 2026 begin with 132767728 relations and 127079424 unique ideals
  70. Fri Jan 9 13:24:48 2026 reduce to 132273118 relations and 119607354 ideals in 8 passes
  71. Fri Jan 9 13:24:48 2026 max relations containing the same ideal: 114
  72. Fri Jan 9 13:27:12 2026 removing 8826675 relations and 6826675 ideals in 2000000 cliques
  73. Fri Jan 9 13:27:21 2026 commencing in-memory singleton removal
  74. Fri Jan 9 13:27:25 2026 begin with 123446443 relations and 119607354 unique ideals
  75. Fri Jan 9 13:27:37 2026 reduce to 122933242 relations and 112260597 ideals in 8 passes
  76. Fri Jan 9 13:27:37 2026 max relations containing the same ideal: 109
  77. Fri Jan 9 13:29:33 2026 removing 8746682 relations and 6746682 ideals in 2000000 cliques
  78. Fri Jan 9 13:29:42 2026 commencing in-memory singleton removal
  79. Fri Jan 9 13:29:44 2026 begin with 114186560 relations and 112260597 unique ideals
  80. Fri Jan 9 13:29:54 2026 reduce to 113644813 relations and 104964322 ideals in 8 passes
  81. Fri Jan 9 13:29:54 2026 max relations containing the same ideal: 104
  82. Fri Jan 9 13:31:43 2026 removing 8723087 relations and 6723087 ideals in 2000000 cliques
  83. Fri Jan 9 13:31:52 2026 commencing in-memory singleton removal
  84. Fri Jan 9 13:31:55 2026 begin with 104921726 relations and 104964322 unique ideals
  85. Fri Jan 9 13:32:03 2026 reduce to 104337091 relations and 97647623 ideals in 9 passes
  86. Fri Jan 9 13:32:03 2026 max relations containing the same ideal: 98
  87. Fri Jan 9 13:33:42 2026 removing 8754283 relations and 6754283 ideals in 2000000 cliques
  88. Fri Jan 9 13:33:50 2026 commencing in-memory singleton removal
  89. Fri Jan 9 13:33:52 2026 begin with 95582808 relations and 97647623 unique ideals
  90. Fri Jan 9 13:34:00 2026 reduce to 94938033 relations and 90237755 ideals in 8 passes
  91. Fri Jan 9 13:34:00 2026 max relations containing the same ideal: 92
  92. Fri Jan 9 13:35:31 2026 removing 8838091 relations and 6838091 ideals in 2000000 cliques
  93. Fri Jan 9 13:35:37 2026 commencing in-memory singleton removal
  94. Fri Jan 9 13:35:39 2026 begin with 86099942 relations and 90237755 unique ideals
  95. Fri Jan 9 13:35:47 2026 reduce to 85367285 relations and 82653677 ideals in 9 passes
  96. Fri Jan 9 13:35:47 2026 max relations containing the same ideal: 86
  97. Fri Jan 9 13:37:05 2026 removing 4035869 relations and 3309323 ideals in 726546 cliques
  98. Fri Jan 9 13:37:09 2026 commencing in-memory singleton removal
  99. Fri Jan 9 13:37:11 2026 begin with 81331416 relations and 82653677 unique ideals
  100. Fri Jan 9 13:37:18 2026 reduce to 81178573 relations and 79190305 ideals in 8 passes
  101. Fri Jan 9 13:37:18 2026 max relations containing the same ideal: 82
  102. Fri Jan 9 13:39:00 2026 relations with 0 large ideals: 5966
  103. Fri Jan 9 13:39:00 2026 relations with 1 large ideals: 31021
  104. Fri Jan 9 13:39:00 2026 relations with 2 large ideals: 431578
  105. Fri Jan 9 13:39:00 2026 relations with 3 large ideals: 2665323
  106. Fri Jan 9 13:39:00 2026 relations with 4 large ideals: 8944139
  107. Fri Jan 9 13:39:00 2026 relations with 5 large ideals: 17960582
  108. Fri Jan 9 13:39:00 2026 relations with 6 large ideals: 22486166
  109. Fri Jan 9 13:39:00 2026 relations with 7+ large ideals: 28653798
  110. Fri Jan 9 13:39:00 2026 commencing 2-way merge
  111. Fri Jan 9 13:41:00 2026 reduce to 50180993 relation sets and 48192725 unique ideals
  112. Fri Jan 9 13:41:00 2026 commencing full merge
  113. Fri Jan 9 14:25:45 2026 memory use: 5710.6 MB
  114. Fri Jan 9 14:25:54 2026 found 21326111 cycles, need 21314925
  115. Fri Jan 9 14:26:05 2026 weight of 21314925 cycles is about 2771009460 (130.00/cycle)
  116. Fri Jan 9 14:26:05 2026 distribution of cycle lengths:
  117. Fri Jan 9 14:26:05 2026 1 relations: 1640448
  118. Fri Jan 9 14:26:05 2026 2 relations: 1467631
  119. Fri Jan 9 14:26:05 2026 3 relations: 1470567
  120. Fri Jan 9 14:26:05 2026 4 relations: 1425046
  121. Fri Jan 9 14:26:05 2026 5 relations: 1417384
  122. Fri Jan 9 14:26:05 2026 6 relations: 1352381
  123. Fri Jan 9 14:26:05 2026 7 relations: 1322809
  124. Fri Jan 9 14:26:05 2026 8 relations: 1246394
  125. Fri Jan 9 14:26:05 2026 9 relations: 1195455
  126. Fri Jan 9 14:26:05 2026 10+ relations: 8776810
  127. Fri Jan 9 14:26:05 2026 heaviest cycle: 28 relations
  128. Fri Jan 9 14:26:17 2026 commencing cycle optimization
  129. Fri Jan 9 14:28:16 2026 start with 192410684 relations
  130. Fri Jan 9 14:45:44 2026 pruned 7926511 relations
  131. Fri Jan 9 14:45:45 2026 memory use: 5266.0 MB
  132. Fri Jan 9 14:45:45 2026 distribution of cycle lengths:
  133. Fri Jan 9 14:45:45 2026 1 relations: 1640448
  134. Fri Jan 9 14:45:45 2026 2 relations: 1506745
  135. Fri Jan 9 14:45:45 2026 3 relations: 1531000
  136. Fri Jan 9 14:45:45 2026 4 relations: 1478986
  137. Fri Jan 9 14:45:45 2026 5 relations: 1478351
  138. Fri Jan 9 14:45:45 2026 6 relations: 1407676
  139. Fri Jan 9 14:45:45 2026 7 relations: 1377717
  140. Fri Jan 9 14:45:45 2026 8 relations: 1295719
  141. Fri Jan 9 14:45:45 2026 9 relations: 1238728
  142. Fri Jan 9 14:45:45 2026 10+ relations: 8359555
  143. Fri Jan 9 14:45:45 2026 heaviest cycle: 28 relations
  144. Fri Jan 9 14:47:04 2026 RelProcTime: 11378
  145. Fri Jan 9 14:47:04 2026
  146. Fri Jan 9 14:47:04 2026 commencing linear algebra
  147. Fri Jan 9 14:47:04 2026 using VBITS=256
  148. Fri Jan 9 14:47:04 2026 stopping after matrix build
  149. Fri Jan 9 14:47:04 2026 initialized process (0,0) of 1 x 1 grid
  150. Fri Jan 9 14:47:04 2026 reversing signs of algebraic polynomial
  151. Fri Jan 9 14:47:08 2026 read 21314925 cycles
  152. Fri Jan 9 14:48:33 2026 cycles contain 79853602 unique relations
  153. Fri Jan 9 14:57:46 2026 read 79853602 relations
  154. Fri Jan 9 14:58:02 2026 using 20 quadratic characters above 4294917295
  155. Fri Jan 9 14:58:16 2026 building initial matrix
  156. Fri Jan 9 15:37:23 2026 memory use: 11025.2 MB
  157. Fri Jan 9 15:37:54 2026 read 21314925 cycles
  158. Fri Jan 9 15:38:00 2026 matrix is 21314748 x 21314925 (10745.0 MB) with weight 3213946402 (150.78/col)
  159. Fri Jan 9 15:38:00 2026 sparse part has weight 2582262114 (121.15/col)
  160. Fri Jan 9 15:49:44 2026 filtering completed in 2 passes
  161. Fri Jan 9 15:49:53 2026 matrix is 21314372 x 21314548 (10744.9 MB) with weight 3213930470 (150.79/col)
  162. Fri Jan 9 15:49:53 2026 sparse part has weight 2582258237 (121.15/col)
  163. Fri Jan 9 15:53:12 2026 BLanczosTime: 3968
  164. Fri Jan 9 15:53:12 2026 elapsed time 04:15:48
  165. Fri Jan 9 16:23:37 2026
  166. Fri Jan 9 16:23:37 2026
  167. Fri Jan 9 16:23:37 2026 Msieve v. 1.54 (SVN Unversioned directory)
  168. Fri Jan 9 16:23:37 2026 random seeds: 4d32457c da7f265f
  169. Fri Jan 9 16:23:37 2026 MPI process 0 of 1
  170. Fri Jan 9 16:23:37 2026 Using 64 OpenMP threads
  171. Fri Jan 9 16:23:37 2026 factoring 461410487403829788967785393507561418780252883273652529489809146261886778486776218957454523908651963789149333410114948217988607398400973437279047018352977313986145550277193504570702103 (183 digits)
  172. Fri Jan 9 16:23:38 2026 searching for 15-digit factors
  173. Fri Jan 9 16:23:39 2026 commencing number field sieve (183-digit input)
  174. Fri Jan 9 16:23:39 2026 reversing signs of algebraic polynomial
  175. Fri Jan 9 16:23:39 2026 R0: -132978022787304643555195627451755458
  176. Fri Jan 9 16:23:39 2026 R1: 5365680129331741804765139
  177. Fri Jan 9 16:23:39 2026 A0: 2599227049217314695101000018929532472560
  178. Fri Jan 9 16:23:39 2026 A1: 4065937181562819392593848607841624
  179. Fri Jan 9 16:23:39 2026 A2: -12441548404551413523138125653
  180. Fri Jan 9 16:23:39 2026 A3: -7028077986824914492147
  181. Fri Jan 9 16:23:39 2026 A4: 4239843585316860
  182. Fri Jan 9 16:23:39 2026 A5: 221760000
  183. Fri Jan 9 16:23:39 2026 skew 1888105.25, size 6.293e-18, alpha -5.912, combined = 5.461e-14 rroots = 5
  184. Fri Jan 9 16:23:39 2026
  185. Fri Jan 9 16:23:39 2026 commencing linear algebra
  186. Fri Jan 9 16:23:39 2026 using VBITS=256
  187. Fri Jan 9 16:23:39 2026 skipping matrix build
  188. Fri Jan 9 16:23:39 2026 initialized process (0,0) of 1 x 1 grid
  189. Fri Jan 9 16:23:57 2026 matrix starts at (0, 0)
  190. Fri Jan 9 16:24:10 2026 matrix is 21314372 x 21314548 (10744.9 MB) with weight 3213930470 (150.79/col)
  191. Fri Jan 9 16:24:10 2026 sparse part has weight 2582258237 (121.15/col)
  192. Fri Jan 9 16:24:10 2026 saving the first 240 matrix rows for later
  193. Fri Jan 9 16:24:24 2026 matrix includes 256 packed rows
  194. Fri Jan 9 16:24:32 2026 matrix is 21314132 x 21314548 (9786.6 MB) with weight 2363758848 (110.90/col)
  195. Fri Jan 9 16:24:32 2026 sparse part has weight 2224453050 (104.36/col)
  196. Fri Jan 9 16:24:32 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  197. Fri Jan 9 16:25:25 2026 commencing Lanczos iteration (64 threads)
  198. Fri Jan 9 16:25:25 2026 memory use: 13900.8 MB
  199. Fri Jan 9 16:28:37 2026 linear algebra at 0.1%, ETA 36h17m
  200. Fri Jan 9 16:33:20 2026 checking every 10000 dimensions, checkpointing every 590000 dimensions
  201. Sun Jan 11 05:24:18 2026 lanczos halted after 83510 iterations (dim = 21314129)
  202. Sun Jan 11 05:27:25 2026 recovered 28 nontrivial dependencies
  203. Sun Jan 11 05:27:33 2026 BLanczosTime: 133434
  204. Sun Jan 11 05:27:33 2026
  205. Sun Jan 11 05:27:33 2026 commencing square root phase
  206. Sun Jan 11 05:27:33 2026 reversing signs of algebraic polynomial
  207. Sun Jan 11 05:27:33 2026 handling dependencies 1 to 64
  208. Sun Jan 11 05:27:33 2026 reading relations for dependency 1
  209. Sun Jan 11 05:27:38 2026 read 10652561 cycles
  210. Sun Jan 11 05:28:25 2026 cycles contain 39915502 unique relations
  211. Sun Jan 11 05:37:22 2026 read 39915502 relations
  212. Sun Jan 11 05:43:55 2026 multiplying 39915502 relations
  213. Sun Jan 11 05:53:12 2026 multiply complete, coefficients have about 2668.71 million bits
  214. Sun Jan 11 05:53:24 2026 initial square root is modulo 967229
  215. Sun Jan 11 06:26:36 2026 sqrtTime: 3543
  216. Sun Jan 11 06:26:36 2026 p89 factor: 16006303524028209522293442908203964135619572056893247405380540227873263168669535526931489
  217. Sun Jan 11 06:26:36 2026 p95 factor: 28826798561652503544709856599638019404582022288395425703482568577620113474149269763607381827127
  218. Sun Jan 11 06:26:36 2026 elapsed time 38:02:59
  219.  
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