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Sep 22nd, 2026
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  1. Mon Sep 14 19:54:43 2026
  2. Mon Sep 14 19:54:43 2026
  3. Mon Sep 14 19:54:43 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Sep 14 19:54:43 2026 random seeds: ab6d1a09 2e8d19bd
  5. Mon Sep 14 19:54:43 2026 MPI process 0 of 1
  6. Mon Sep 14 19:54:43 2026 Using 32 OpenMP threads
  7. Mon Sep 14 19:54:43 2026 factoring 171873815608625001774720447999073271771021731206075905874968034811906391184470117670863042377116537335983640424165182321822718651916142803168391163039876080796909516525950357985515689 (183 digits)
  8. Mon Sep 14 19:54:44 2026 searching for 15-digit factors
  9. Mon Sep 14 19:54:45 2026 commencing number field sieve (183-digit input)
  10. Mon Sep 14 19:54:45 2026 R0: -110096118146278384761464758543167766
  11. Mon Sep 14 19:54:45 2026 R1: 26219871072168339516521257
  12. Mon Sep 14 19:54:45 2026 A0: -279554459787978242272581649571536423372728
  13. Mon Sep 14 19:54:45 2026 A1: -282450624166999953179896074691628695
  14. Mon Sep 14 19:54:45 2026 A2: 65279609936135585832785622816
  15. Mon Sep 14 19:54:45 2026 A3: -18512596390991513928137
  16. Mon Sep 14 19:54:45 2026 A4: -1404741748205760
  17. Mon Sep 14 19:54:45 2026 A5: 64088640
  18. Mon Sep 14 19:54:45 2026 skew 9683775.47, size 8.223e-18, alpha -7.822, combined = 6.418e-14 rroots = 3
  19. Mon Sep 14 19:54:45 2026
  20. Mon Sep 14 19:54:45 2026 commencing relation filtering
  21. Mon Sep 14 19:54:45 2026 setting target matrix density to 130.0
  22. Mon Sep 14 19:54:45 2026 estimated available RAM is 257736.5 MB
  23. Mon Sep 14 19:54:45 2026 commencing duplicate removal, pass 1
  24. Mon Sep 14 20:08:09 2026 skipped 2 relations with b > 2^32
  25. Mon Sep 14 20:08:09 2026 skipped 3 relations with composite factors
  26. Mon Sep 14 20:08:09 2026 skipped 766 malformed relations
  27. Mon Sep 14 20:08:09 2026 found 67528462 hash collisions in 330231525 relations
  28. Mon Sep 14 20:08:31 2026 added 121792 free relations
  29. Mon Sep 14 20:08:31 2026 commencing duplicate removal, pass 2
  30. Mon Sep 14 20:17:42 2026 found 72009417 duplicates and 258343900 unique relations
  31. Mon Sep 14 20:17:42 2026 memory use: 1705.5 MB
  32. Mon Sep 14 20:17:43 2026 reading ideals above 720000
  33. Mon Sep 14 20:17:43 2026 commencing singleton removal, initial pass
  34. Mon Sep 14 20:33:08 2026 memory use: 6024.0 MB
  35. Mon Sep 14 20:33:09 2026 reading all ideals from disk
  36. Mon Sep 14 20:33:14 2026 memory use: 12639.8 MB
  37. Mon Sep 14 20:33:52 2026 keeping 246194204 ideals with weight <= 200, target excess is 1361778
  38. Mon Sep 14 20:34:39 2026 commencing in-memory singleton removal
  39. Mon Sep 14 20:34:44 2026 begin with 258343900 relations and 246194204 unique ideals
  40. Mon Sep 14 20:35:04 2026 reduce to 156666001 relations and 133691758 ideals in 15 passes
  41. Mon Sep 14 20:35:04 2026 max relations containing the same ideal: 158
  42. Mon Sep 14 20:36:12 2026 removing 12448604 relations and 10448604 ideals in 2000000 cliques
  43. Mon Sep 14 20:36:19 2026 commencing in-memory singleton removal
  44. Mon Sep 14 20:36:22 2026 begin with 144217397 relations and 133691758 unique ideals
  45. Mon Sep 14 20:36:31 2026 reduce to 143446617 relations and 122459756 ideals in 9 passes
  46. Mon Sep 14 20:36:31 2026 max relations containing the same ideal: 146
  47. Mon Sep 14 20:37:31 2026 removing 9546496 relations and 7546496 ideals in 2000000 cliques
  48. Mon Sep 14 20:37:37 2026 commencing in-memory singleton removal
  49. Mon Sep 14 20:37:39 2026 begin with 133900121 relations and 122459756 unique ideals
  50. Mon Sep 14 20:37:48 2026 reduce to 133377983 relations and 114383586 ideals in 8 passes
  51. Mon Sep 14 20:37:48 2026 max relations containing the same ideal: 139
  52. Mon Sep 14 20:38:45 2026 removing 8674878 relations and 6674878 ideals in 2000000 cliques
  53. Mon Sep 14 20:38:51 2026 commencing in-memory singleton removal
  54. Mon Sep 14 20:38:53 2026 begin with 124703105 relations and 114383586 unique ideals
  55. Mon Sep 14 20:38:59 2026 reduce to 124235779 relations and 107234633 ideals in 7 passes
  56. Mon Sep 14 20:38:59 2026 max relations containing the same ideal: 133
  57. Mon Sep 14 20:39:52 2026 removing 8239570 relations and 6239570 ideals in 2000000 cliques
  58. Mon Sep 14 20:39:57 2026 commencing in-memory singleton removal
  59. Mon Sep 14 20:39:59 2026 begin with 115996209 relations and 107234633 unique ideals
  60. Mon Sep 14 20:40:06 2026 reduce to 115544780 relations and 100536837 ideals in 8 passes
  61. Mon Sep 14 20:40:06 2026 max relations containing the same ideal: 131
  62. Mon Sep 14 20:40:55 2026 removing 7985310 relations and 5985310 ideals in 2000000 cliques
  63. Mon Sep 14 20:40:59 2026 commencing in-memory singleton removal
  64. Mon Sep 14 20:41:01 2026 begin with 107559470 relations and 100536837 unique ideals
  65. Mon Sep 14 20:41:07 2026 reduce to 107102647 relations and 94087581 ideals in 7 passes
  66. Mon Sep 14 20:41:07 2026 max relations containing the same ideal: 120
  67. Mon Sep 14 20:41:55 2026 removing 7841983 relations and 5841983 ideals in 2000000 cliques
  68. Mon Sep 14 20:41:59 2026 commencing in-memory singleton removal
  69. Mon Sep 14 20:42:01 2026 begin with 99260664 relations and 94087581 unique ideals
  70. Mon Sep 14 20:42:06 2026 reduce to 98788768 relations and 87765773 ideals in 8 passes
  71. Mon Sep 14 20:42:06 2026 max relations containing the same ideal: 112
  72. Mon Sep 14 20:42:51 2026 removing 7765993 relations and 5765993 ideals in 2000000 cliques
  73. Mon Sep 14 20:42:55 2026 commencing in-memory singleton removal
  74. Mon Sep 14 20:42:57 2026 begin with 91022775 relations and 87765773 unique ideals
  75. Mon Sep 14 20:43:02 2026 reduce to 90522283 relations and 81490465 ideals in 8 passes
  76. Mon Sep 14 20:43:02 2026 max relations containing the same ideal: 106
  77. Mon Sep 14 20:43:44 2026 removing 7745343 relations and 5745343 ideals in 2000000 cliques
  78. Mon Sep 14 20:43:48 2026 commencing in-memory singleton removal
  79. Mon Sep 14 20:43:50 2026 begin with 82776940 relations and 81490465 unique ideals
  80. Mon Sep 14 20:43:54 2026 reduce to 82235402 relations and 75193276 ideals in 7 passes
  81. Mon Sep 14 20:43:54 2026 max relations containing the same ideal: 101
  82. Mon Sep 14 20:44:29 2026 removing 7768519 relations and 5768519 ideals in 2000000 cliques
  83. Mon Sep 14 20:44:33 2026 commencing in-memory singleton removal
  84. Mon Sep 14 20:44:34 2026 begin with 74466883 relations and 75193276 unique ideals
  85. Mon Sep 14 20:44:39 2026 reduce to 73867534 relations and 68812821 ideals in 9 passes
  86. Mon Sep 14 20:44:39 2026 max relations containing the same ideal: 92
  87. Mon Sep 14 20:45:13 2026 removing 7834895 relations and 5834895 ideals in 2000000 cliques
  88. Mon Sep 14 20:45:16 2026 commencing in-memory singleton removal
  89. Mon Sep 14 20:45:17 2026 begin with 66032639 relations and 68812821 unique ideals
  90. Mon Sep 14 20:45:21 2026 reduce to 65352134 relations and 62281488 ideals in 10 passes
  91. Mon Sep 14 20:45:21 2026 max relations containing the same ideal: 86
  92. Mon Sep 14 20:45:52 2026 removing 6303960 relations and 4812977 ideals in 1490983 cliques
  93. Mon Sep 14 20:45:54 2026 commencing in-memory singleton removal
  94. Mon Sep 14 20:45:55 2026 begin with 59048174 relations and 62281488 unique ideals
  95. Mon Sep 14 20:45:58 2026 reduce to 58565907 relations and 56976748 ideals in 8 passes
  96. Mon Sep 14 20:45:58 2026 max relations containing the same ideal: 81
  97. Mon Sep 14 20:46:25 2026 removing 86236 relations and 76740 ideals in 9496 cliques
  98. Mon Sep 14 20:46:27 2026 commencing in-memory singleton removal
  99. Mon Sep 14 20:46:28 2026 begin with 58479671 relations and 56976748 unique ideals
  100. Mon Sep 14 20:46:30 2026 reduce to 58479605 relations and 56899942 ideals in 4 passes
  101. Mon Sep 14 20:46:30 2026 max relations containing the same ideal: 81
  102. Mon Sep 14 20:46:39 2026 relations with 0 large ideals: 5021
  103. Mon Sep 14 20:46:39 2026 relations with 1 large ideals: 22759
  104. Mon Sep 14 20:46:39 2026 relations with 2 large ideals: 330394
  105. Mon Sep 14 20:46:39 2026 relations with 3 large ideals: 2022761
  106. Mon Sep 14 20:46:39 2026 relations with 4 large ideals: 6703028
  107. Mon Sep 14 20:46:39 2026 relations with 5 large ideals: 13176648
  108. Mon Sep 14 20:46:39 2026 relations with 6 large ideals: 16142561
  109. Mon Sep 14 20:46:39 2026 relations with 7+ large ideals: 20076433
  110. Mon Sep 14 20:46:39 2026 commencing 2-way merge
  111. Mon Sep 14 20:47:17 2026 reduce to 36738307 relation sets and 35158644 unique ideals
  112. Mon Sep 14 20:47:17 2026 commencing full merge
  113. Mon Sep 14 21:16:57 2026 memory use: 4386.2 MB
  114. Mon Sep 14 21:17:05 2026 found 16096651 cycles, need 16036844
  115. Mon Sep 14 21:17:15 2026 weight of 16036844 cycles is about 2085126607 (130.02/cycle)
  116. Mon Sep 14 21:17:15 2026 distribution of cycle lengths:
  117. Mon Sep 14 21:17:15 2026 1 relations: 920023
  118. Mon Sep 14 21:17:15 2026 2 relations: 1086116
  119. Mon Sep 14 21:17:15 2026 3 relations: 1157085
  120. Mon Sep 14 21:17:15 2026 4 relations: 1136644
  121. Mon Sep 14 21:17:15 2026 5 relations: 1134509
  122. Mon Sep 14 21:17:15 2026 6 relations: 1095164
  123. Mon Sep 14 21:17:15 2026 7 relations: 1073174
  124. Mon Sep 14 21:17:15 2026 8 relations: 1018096
  125. Mon Sep 14 21:17:15 2026 9 relations: 966261
  126. Mon Sep 14 21:17:15 2026 10+ relations: 6449772
  127. Mon Sep 14 21:17:15 2026 heaviest cycle: 28 relations
  128. Mon Sep 14 21:17:26 2026 commencing cycle optimization
  129. Mon Sep 14 21:18:46 2026 start with 142390370 relations
  130. Mon Sep 14 21:30:34 2026 pruned 6187699 relations
  131. Mon Sep 14 21:30:34 2026 memory use: 3853.8 MB
  132. Mon Sep 14 21:30:35 2026 distribution of cycle lengths:
  133. Mon Sep 14 21:30:35 2026 1 relations: 920023
  134. Mon Sep 14 21:30:35 2026 2 relations: 1114766
  135. Mon Sep 14 21:30:35 2026 3 relations: 1206089
  136. Mon Sep 14 21:30:35 2026 4 relations: 1181618
  137. Mon Sep 14 21:30:35 2026 5 relations: 1186071
  138. Mon Sep 14 21:30:35 2026 6 relations: 1143431
  139. Mon Sep 14 21:30:35 2026 7 relations: 1122556
  140. Mon Sep 14 21:30:35 2026 8 relations: 1061800
  141. Mon Sep 14 21:30:35 2026 9 relations: 1005695
  142. Mon Sep 14 21:30:35 2026 10+ relations: 6094795
  143. Mon Sep 14 21:30:35 2026 heaviest cycle: 28 relations
  144. Mon Sep 14 21:31:37 2026 RelProcTime: 5812
  145. Mon Sep 14 21:31:37 2026
  146. Mon Sep 14 21:31:37 2026 commencing linear algebra
  147. Mon Sep 14 21:31:37 2026 using VBITS=256
  148. Mon Sep 14 21:31:37 2026 stopping after matrix build
  149. Mon Sep 14 21:31:37 2026 initialized process (0,0) of 1 x 1 grid
  150. Mon Sep 14 21:31:41 2026 read 16036844 cycles
  151. Mon Sep 14 21:32:47 2026 cycles contain 57475480 unique relations
  152. Mon Sep 14 21:40:20 2026 read 57475480 relations
  153. Mon Sep 14 21:40:30 2026 using 20 quadratic characters above 4294917295
  154. Mon Sep 14 21:40:40 2026 building initial matrix
  155. Mon Sep 14 22:06:56 2026 memory use: 8039.2 MB
  156. Mon Sep 14 22:07:19 2026 read 16036844 cycles
  157. Mon Sep 14 22:07:24 2026 matrix is 16036666 x 16036844 (8118.2 MB) with weight 2445093798 (152.47/col)
  158. Mon Sep 14 22:07:24 2026 sparse part has weight 1935692328 (120.70/col)
  159. Mon Sep 14 22:15:06 2026 filtering completed in 2 passes
  160. Mon Sep 14 22:15:14 2026 matrix is 16036093 x 16036269 (8118.1 MB) with weight 2445065956 (152.47/col)
  161. Mon Sep 14 22:15:14 2026 sparse part has weight 1935683941 (120.71/col)
  162. Mon Sep 14 22:17:35 2026 BLanczosTime: 2758
  163. Mon Sep 14 22:17:35 2026 elapsed time 02:22:52
  164. Tue Sep 15 00:15:05 2026
  165. Tue Sep 15 00:15:05 2026
  166. Tue Sep 15 00:15:05 2026 Msieve v. 1.54 (SVN Unversioned directory)
  167. Tue Sep 15 00:15:05 2026 random seeds: 9ee82193 0cf7a15f
  168. Tue Sep 15 00:15:05 2026 MPI process 0 of 1
  169. Tue Sep 15 00:15:05 2026 Using 64 OpenMP threads
  170. Tue Sep 15 00:15:05 2026 factoring 171873815608625001774720447999073271771021731206075905874968034811906391184470117670863042377116537335983640424165182321822718651916142803168391163039876080796909516525950357985515689 (183 digits)
  171. Tue Sep 15 00:15:06 2026 searching for 15-digit factors
  172. Tue Sep 15 00:15:06 2026 commencing number field sieve (183-digit input)
  173. Tue Sep 15 00:15:06 2026 R0: -110096118146278384761464758543167766
  174. Tue Sep 15 00:15:06 2026 R1: 26219871072168339516521257
  175. Tue Sep 15 00:15:06 2026 A0: -279554459787978242272581649571536423372728
  176. Tue Sep 15 00:15:06 2026 A1: -282450624166999953179896074691628695
  177. Tue Sep 15 00:15:06 2026 A2: 65279609936135585832785622816
  178. Tue Sep 15 00:15:06 2026 A3: -18512596390991513928137
  179. Tue Sep 15 00:15:06 2026 A4: -1404741748205760
  180. Tue Sep 15 00:15:06 2026 A5: 64088640
  181. Tue Sep 15 00:15:06 2026 skew 9683775.47, size 8.223e-18, alpha -7.822, combined = 6.418e-14 rroots = 3
  182. Tue Sep 15 00:15:06 2026
  183. Tue Sep 15 00:15:06 2026 commencing linear algebra
  184. Tue Sep 15 00:15:06 2026 using VBITS=256
  185. Tue Sep 15 00:15:06 2026 skipping matrix build
  186. Tue Sep 15 00:15:06 2026 initialized process (0,0) of 1 x 1 grid
  187. Tue Sep 15 00:15:21 2026 matrix starts at (0, 0)
  188. Tue Sep 15 00:15:30 2026 matrix is 16036093 x 16036269 (8118.1 MB) with weight 2445065956 (152.47/col)
  189. Tue Sep 15 00:15:30 2026 sparse part has weight 1935683941 (120.71/col)
  190. Tue Sep 15 00:15:30 2026 saving the first 240 matrix rows for later
  191. Tue Sep 15 00:15:39 2026 matrix includes 256 packed rows
  192. Tue Sep 15 00:15:51 2026 matrix is 16035853 x 16036269 (7329.4 MB) with weight 1773759724 (110.61/col)
  193. Tue Sep 15 00:15:51 2026 sparse part has weight 1664775158 (103.81/col)
  194. Tue Sep 15 00:15:51 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Tue Sep 15 00:16:30 2026 commencing Lanczos iteration (64 threads)
  196. Tue Sep 15 00:16:30 2026 memory use: 10377.8 MB
  197. Tue Sep 15 00:18:51 2026 linear algebra at 0.2%, ETA 20h 2m
  198. Tue Sep 15 00:22:17 2026 checking every 10000 dimensions, checkpointing every 810000 dimensions
  199. Tue Sep 15 20:27:45 2026 lanczos halted after 62829 iterations (dim = 16035853)
  200. Tue Sep 15 20:28:51 2026 recovered 30 nontrivial dependencies
  201. Tue Sep 15 20:28:55 2026 BLanczosTime: 72829
  202. Tue Sep 15 20:28:55 2026
  203. Tue Sep 15 20:28:55 2026 commencing square root phase
  204. Tue Sep 15 20:28:55 2026 handling dependencies 1 to 64
  205. Tue Sep 15 20:28:55 2026 reading relations for dependency 1
  206. Tue Sep 15 20:28:59 2026 read 8017353 cycles
  207. Tue Sep 15 20:29:34 2026 cycles contain 28741488 unique relations
  208. Tue Sep 15 20:36:56 2026 read 28741488 relations
  209. Tue Sep 15 20:42:01 2026 multiplying 28741488 relations
  210. Tue Sep 15 20:48:43 2026 multiply complete, coefficients have about 1854.00 million bits
  211. Tue Sep 15 20:48:52 2026 initial square root is modulo 207259453
  212. Tue Sep 15 21:13:26 2026 GCD is N, no factor found
  213. Tue Sep 15 21:13:26 2026 reading relations for dependency 2
  214. Tue Sep 15 21:13:30 2026 read 8017765 cycles
  215. Tue Sep 15 21:14:04 2026 cycles contain 28735532 unique relations
  216. Tue Sep 15 21:21:25 2026 read 28735532 relations
  217. Tue Sep 15 21:26:07 2026 multiplying 28735532 relations
  218. Tue Sep 15 21:32:23 2026 multiply complete, coefficients have about 1853.60 million bits
  219. Tue Sep 15 21:32:32 2026 initial square root is modulo 206419121
  220. Tue Sep 15 21:57:07 2026 GCD is N, no factor found
  221. Tue Sep 15 21:57:07 2026 reading relations for dependency 3
  222. Tue Sep 15 21:57:10 2026 read 8018405 cycles
  223. Tue Sep 15 21:57:45 2026 cycles contain 28731966 unique relations
  224. Tue Sep 15 22:05:02 2026 read 28731966 relations
  225. Tue Sep 15 22:10:17 2026 multiplying 28731966 relations
  226. Tue Sep 15 22:16:40 2026 multiply complete, coefficients have about 1853.37 million bits
  227. Tue Sep 15 22:16:49 2026 initial square root is modulo 205924877
  228. Tue Sep 15 22:41:21 2026 sqrtTime: 7946
  229. Tue Sep 15 22:41:21 2026 p62 factor: 79918185165002978268044415603605660424398288103115620094982327
  230. Tue Sep 15 22:41:21 2026 p121 factor: 2150622105016098017215647376067911851265775389038531406918631374943364663044330934041028444527228099764204283915033762207
  231. Tue Sep 15 22:41:21 2026 elapsed time 22:26:16
  232.  
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