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Nov 15th, 2025
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  1. Fri Nov 14 11:48:58 2025
  2. Fri Nov 14 11:48:58 2025
  3. Fri Nov 14 11:48:58 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Nov 14 11:48:58 2025 random seeds: 51140d6c 770e8aed
  5. Fri Nov 14 11:48:58 2025 MPI process 0 of 1
  6. Fri Nov 14 11:48:58 2025 Using 32 OpenMP threads
  7. Fri Nov 14 11:48:58 2025 factoring 376215900086736829683370013542966865099646749284926107502184948433534526353106062584874726806192414940611121671666495808575681920246601802194951723963392805239477290579 (168 digits)
  8. Fri Nov 14 11:48:59 2025 searching for 15-digit factors
  9. Fri Nov 14 11:48:59 2025 commencing number field sieve (168-digit input)
  10. Fri Nov 14 11:48:59 2025 R0: 248768934158246231427897326906262
  11. Fri Nov 14 11:48:59 2025 R1: 6510069707315712963414959
  12. Fri Nov 14 11:48:59 2025 A0: 39787437960896753559229427824969512092173
  13. Fri Nov 14 11:48:59 2025 A1: -1301570939564155577541372634177918
  14. Fri Nov 14 11:48:59 2025 A2: -1785434007243330778146468799
  15. Fri Nov 14 11:48:59 2025 A3: -3614087599716272432
  16. Fri Nov 14 11:48:59 2025 A4: 17619819073776
  17. Fri Nov 14 11:48:59 2025 A5: 37800
  18. Fri Nov 14 11:48:59 2025 skew 11609488.11, size 2.685e-16, alpha -7.316, combined = 5.235e-13 rroots = 3
  19. Fri Nov 14 11:48:59 2025
  20. Fri Nov 14 11:48:59 2025 commencing relation filtering
  21. Fri Nov 14 11:48:59 2025 setting target matrix density to 110.0
  22. Fri Nov 14 11:48:59 2025 estimated available RAM is 257736.5 MB
  23. Fri Nov 14 11:48:59 2025 commencing duplicate removal, pass 1
  24. Fri Nov 14 11:52:43 2025 error -1 reading relation 87163624
  25. Fri Nov 14 11:53:26 2025 error -1 reading relation 104076453
  26. Fri Nov 14 11:53:27 2025 error -1 reading relation 104676707
  27. Fri Nov 14 11:53:28 2025 error -1 reading relation 104906608
  28. Fri Nov 14 11:53:48 2025 error -1 reading relation 113265704
  29. Fri Nov 14 11:54:06 2025 error -1 reading relation 120595076
  30. Fri Nov 14 11:54:07 2025 error -1 reading relation 120834710
  31. Fri Nov 14 11:54:33 2025 error -1 reading relation 131332674
  32. Fri Nov 14 11:55:11 2025 error -1 reading relation 146741314
  33. Fri Nov 14 11:56:03 2025 error -1 reading relation 167669070
  34. Fri Nov 14 11:57:28 2025 error -1 reading relation 202540196
  35. Fri Nov 14 11:58:21 2025 error -1 reading relation 224253728
  36. Fri Nov 14 11:58:58 2025 error -1 reading relation 238242861
  37. Fri Nov 14 11:58:58 2025 error -15 reading relation 238347333
  38. Fri Nov 14 11:58:58 2025 error -11 reading relation 238347334
  39. Fri Nov 14 11:58:59 2025 error -15 reading relation 238618526
  40. Fri Nov 14 11:58:59 2025 error -1 reading relation 238725935
  41. Fri Nov 14 11:59:38 2025 error -1 reading relation 254064312
  42. Fri Nov 14 12:00:00 2025 skipped 99 malformed relations
  43. Fri Nov 14 12:00:00 2025 found 50151393 hash collisions in 262462711 relations
  44. Fri Nov 14 12:00:38 2025 added 121800 free relations
  45. Fri Nov 14 12:00:38 2025 commencing duplicate removal, pass 2
  46. Fri Nov 14 12:10:19 2025 found 52843377 duplicates and 209741134 unique relations
  47. Fri Nov 14 12:10:19 2025 memory use: 1705.5 MB
  48. Fri Nov 14 12:10:19 2025 reading ideals above 720000
  49. Fri Nov 14 12:10:20 2025 commencing singleton removal, initial pass
  50. Fri Nov 14 12:39:42 2025 memory use: 6024.0 MB
  51. Fri Nov 14 12:39:43 2025 reading all ideals from disk
  52. Fri Nov 14 12:39:50 2025 memory use: 9674.4 MB
  53. Fri Nov 14 12:40:46 2025 keeping 217982267 ideals with weight <= 200, target excess is 1027139
  54. Fri Nov 14 12:41:54 2025 commencing in-memory singleton removal
  55. Fri Nov 14 12:41:59 2025 begin with 209741134 relations and 217982267 unique ideals
  56. Fri Nov 14 12:42:24 2025 reduce to 94735846 relations and 86168198 ideals in 18 passes
  57. Fri Nov 14 12:42:24 2025 max relations containing the same ideal: 122
  58. Fri Nov 14 12:43:46 2025 removing 8795792 relations and 7795792 ideals in 1000000 cliques
  59. Fri Nov 14 12:43:53 2025 commencing in-memory singleton removal
  60. Fri Nov 14 12:43:55 2025 begin with 85940054 relations and 86168198 unique ideals
  61. Fri Nov 14 12:44:03 2025 reduce to 85247356 relations and 77669412 ideals in 11 passes
  62. Fri Nov 14 12:44:03 2025 max relations containing the same ideal: 116
  63. Fri Nov 14 12:45:21 2025 removing 6589303 relations and 5589303 ideals in 1000000 cliques
  64. Fri Nov 14 12:45:26 2025 commencing in-memory singleton removal
  65. Fri Nov 14 12:45:29 2025 begin with 78658053 relations and 77669412 unique ideals
  66. Fri Nov 14 12:45:35 2025 reduce to 78211841 relations and 71628370 ideals in 10 passes
  67. Fri Nov 14 12:45:35 2025 max relations containing the same ideal: 110
  68. Fri Nov 14 12:46:36 2025 removing 5912246 relations and 4912246 ideals in 1000000 cliques
  69. Fri Nov 14 12:46:41 2025 commencing in-memory singleton removal
  70. Fri Nov 14 12:46:42 2025 begin with 72299595 relations and 71628370 unique ideals
  71. Fri Nov 14 12:46:48 2025 reduce to 71901663 relations and 66313051 ideals in 11 passes
  72. Fri Nov 14 12:46:48 2025 max relations containing the same ideal: 104
  73. Fri Nov 14 12:47:50 2025 removing 5577294 relations and 4577294 ideals in 1000000 cliques
  74. Fri Nov 14 12:47:54 2025 commencing in-memory singleton removal
  75. Fri Nov 14 12:47:55 2025 begin with 66324369 relations and 66313051 unique ideals
  76. Fri Nov 14 12:48:00 2025 reduce to 65939201 relations and 61345531 ideals in 9 passes
  77. Fri Nov 14 12:48:00 2025 max relations containing the same ideal: 98
  78. Fri Nov 14 12:48:50 2025 removing 5380338 relations and 4380338 ideals in 1000000 cliques
  79. Fri Nov 14 12:48:55 2025 commencing in-memory singleton removal
  80. Fri Nov 14 12:48:56 2025 begin with 60558863 relations and 61345531 unique ideals
  81. Fri Nov 14 12:49:01 2025 reduce to 60163986 relations and 56564747 ideals in 9 passes
  82. Fri Nov 14 12:49:01 2025 max relations containing the same ideal: 93
  83. Fri Nov 14 12:49:58 2025 removing 5270757 relations and 4270757 ideals in 1000000 cliques
  84. Fri Nov 14 12:50:02 2025 commencing in-memory singleton removal
  85. Fri Nov 14 12:50:03 2025 begin with 54893229 relations and 56564747 unique ideals
  86. Fri Nov 14 12:50:07 2025 reduce to 54475028 relations and 51869502 ideals in 8 passes
  87. Fri Nov 14 12:50:07 2025 max relations containing the same ideal: 87
  88. Fri Nov 14 12:50:49 2025 removing 5222088 relations and 4222088 ideals in 1000000 cliques
  89. Fri Nov 14 12:50:52 2025 commencing in-memory singleton removal
  90. Fri Nov 14 12:50:53 2025 begin with 49252940 relations and 51869502 unique ideals
  91. Fri Nov 14 12:50:57 2025 reduce to 48793444 relations and 47180349 ideals in 9 passes
  92. Fri Nov 14 12:50:57 2025 max relations containing the same ideal: 80
  93. Fri Nov 14 12:51:34 2025 removing 2659801 relations and 2238188 ideals in 421613 cliques
  94. Fri Nov 14 12:51:37 2025 commencing in-memory singleton removal
  95. Fri Nov 14 12:51:38 2025 begin with 46133643 relations and 47180349 unique ideals
  96. Fri Nov 14 12:51:41 2025 reduce to 46012228 relations and 44819717 ideals in 8 passes
  97. Fri Nov 14 12:51:41 2025 max relations containing the same ideal: 79
  98. Fri Nov 14 12:52:25 2025 relations with 0 large ideals: 3666
  99. Fri Nov 14 12:52:25 2025 relations with 1 large ideals: 26373
  100. Fri Nov 14 12:52:25 2025 relations with 2 large ideals: 360806
  101. Fri Nov 14 12:52:25 2025 relations with 3 large ideals: 2089523
  102. Fri Nov 14 12:52:25 2025 relations with 4 large ideals: 6489526
  103. Fri Nov 14 12:52:25 2025 relations with 5 large ideals: 11760549
  104. Fri Nov 14 12:52:25 2025 relations with 6 large ideals: 12902348
  105. Fri Nov 14 12:52:25 2025 relations with 7+ large ideals: 12379437
  106. Fri Nov 14 12:52:25 2025 commencing 2-way merge
  107. Fri Nov 14 12:53:19 2025 reduce to 27014853 relation sets and 25822342 unique ideals
  108. Fri Nov 14 12:53:19 2025 commencing full merge
  109. Fri Nov 14 13:10:19 2025 memory use: 2933.9 MB
  110. Fri Nov 14 13:10:23 2025 found 11872199 cycles, need 11800542
  111. Fri Nov 14 13:10:29 2025 weight of 11800542 cycles is about 1298648588 (110.05/cycle)
  112. Fri Nov 14 13:10:29 2025 distribution of cycle lengths:
  113. Fri Nov 14 13:10:29 2025 1 relations: 1122897
  114. Fri Nov 14 13:10:29 2025 2 relations: 933328
  115. Fri Nov 14 13:10:29 2025 3 relations: 922670
  116. Fri Nov 14 13:10:29 2025 4 relations: 869908
  117. Fri Nov 14 13:10:29 2025 5 relations: 833988
  118. Fri Nov 14 13:10:29 2025 6 relations: 789863
  119. Fri Nov 14 13:10:29 2025 7 relations: 746938
  120. Fri Nov 14 13:10:29 2025 8 relations: 694226
  121. Fri Nov 14 13:10:29 2025 9 relations: 640553
  122. Fri Nov 14 13:10:29 2025 10+ relations: 4246171
  123. Fri Nov 14 13:10:29 2025 heaviest cycle: 28 relations
  124. Fri Nov 14 13:10:34 2025 commencing cycle optimization
  125. Fri Nov 14 13:11:19 2025 start with 96752071 relations
  126. Fri Nov 14 13:17:00 2025 pruned 3092100 relations
  127. Fri Nov 14 13:17:01 2025 memory use: 2844.3 MB
  128. Fri Nov 14 13:17:01 2025 distribution of cycle lengths:
  129. Fri Nov 14 13:17:01 2025 1 relations: 1122897
  130. Fri Nov 14 13:17:01 2025 2 relations: 956593
  131. Fri Nov 14 13:17:01 2025 3 relations: 955315
  132. Fri Nov 14 13:17:01 2025 4 relations: 896592
  133. Fri Nov 14 13:17:01 2025 5 relations: 862887
  134. Fri Nov 14 13:17:01 2025 6 relations: 812194
  135. Fri Nov 14 13:17:01 2025 7 relations: 768316
  136. Fri Nov 14 13:17:01 2025 8 relations: 709868
  137. Fri Nov 14 13:17:01 2025 9 relations: 654965
  138. Fri Nov 14 13:17:01 2025 10+ relations: 4060915
  139. Fri Nov 14 13:17:01 2025 heaviest cycle: 28 relations
  140. Fri Nov 14 13:17:35 2025 RelProcTime: 5316
  141. Fri Nov 14 13:17:36 2025
  142. Fri Nov 14 13:17:36 2025 commencing linear algebra
  143. Fri Nov 14 13:17:36 2025 using VBITS=256
  144. Fri Nov 14 13:17:36 2025 stopping after matrix build
  145. Fri Nov 14 13:17:36 2025 initialized process (0,0) of 1 x 1 grid
  146. Fri Nov 14 13:17:38 2025 read 11800542 cycles
  147. Fri Nov 14 13:18:20 2025 cycles contain 45057300 unique relations
  148. Fri Nov 14 13:24:32 2025 read 45057300 relations
  149. Fri Nov 14 13:24:40 2025 using 20 quadratic characters above 4294917295
  150. Fri Nov 14 13:24:48 2025 building initial matrix
  151. Fri Nov 14 13:42:37 2025 memory use: 5940.9 MB
  152. Fri Nov 14 13:42:54 2025 read 11800542 cycles
  153. Fri Nov 14 13:42:59 2025 matrix is 11800365 x 11800542 (5210.4 MB) with weight 1609060817 (136.35/col)
  154. Fri Nov 14 13:42:59 2025 sparse part has weight 1224264952 (103.75/col)
  155. Fri Nov 14 13:50:18 2025 filtering completed in 2 passes
  156. Fri Nov 14 13:50:24 2025 matrix is 11797463 x 11797639 (5210.1 MB) with weight 1608918412 (136.38/col)
  157. Fri Nov 14 13:50:24 2025 sparse part has weight 1224225350 (103.77/col)
  158. Fri Nov 14 13:52:14 2025 BLanczosTime: 2078
  159. Fri Nov 14 13:52:14 2025 elapsed time 02:03:16
  160. Fri Nov 14 14:20:39 2025
  161. Fri Nov 14 14:20:39 2025
  162. Fri Nov 14 14:20:39 2025 Msieve v. 1.54 (SVN Unversioned directory)
  163. Fri Nov 14 14:20:39 2025 random seeds: 562a653d dde02345
  164. Fri Nov 14 14:20:39 2025 MPI process 0 of 1
  165. Fri Nov 14 14:20:39 2025 Using 64 OpenMP threads
  166. Fri Nov 14 14:20:39 2025 factoring 376215900086736829683370013542966865099646749284926107502184948433534526353106062584874726806192414940611121671666495808575681920246601802194951723963392805239477290579 (168 digits)
  167. Fri Nov 14 14:20:39 2025 searching for 15-digit factors
  168. Fri Nov 14 14:20:40 2025 commencing number field sieve (168-digit input)
  169. Fri Nov 14 14:20:40 2025 R0: 248768934158246231427897326906262
  170. Fri Nov 14 14:20:40 2025 R1: 6510069707315712963414959
  171. Fri Nov 14 14:20:40 2025 A0: 39787437960896753559229427824969512092173
  172. Fri Nov 14 14:20:40 2025 A1: -1301570939564155577541372634177918
  173. Fri Nov 14 14:20:40 2025 A2: -1785434007243330778146468799
  174. Fri Nov 14 14:20:40 2025 A3: -3614087599716272432
  175. Fri Nov 14 14:20:40 2025 A4: 17619819073776
  176. Fri Nov 14 14:20:40 2025 A5: 37800
  177. Fri Nov 14 14:20:40 2025 skew 11609488.11, size 2.685e-16, alpha -7.316, combined = 5.235e-13 rroots = 3
  178. Fri Nov 14 14:20:40 2025
  179. Fri Nov 14 14:20:40 2025 commencing linear algebra
  180. Fri Nov 14 14:20:40 2025 using VBITS=256
  181. Fri Nov 14 14:20:40 2025 skipping matrix build
  182. Fri Nov 14 14:20:40 2025 initialized process (0,0) of 1 x 1 grid
  183. Fri Nov 14 14:20:47 2025 matrix starts at (0, 0)
  184. Fri Nov 14 14:20:48 2025 matrix is 11797463 x 11797639 (5210.1 MB) with weight 1608918412 (136.38/col)
  185. Fri Nov 14 14:20:48 2025 sparse part has weight 1224225350 (103.77/col)
  186. Fri Nov 14 14:20:48 2025 saving the first 240 matrix rows for later
  187. Fri Nov 14 14:20:51 2025 matrix includes 256 packed rows
  188. Fri Nov 14 14:20:54 2025 matrix is 11797223 x 11797639 (4746.7 MB) with weight 1125616607 (95.41/col)
  189. Fri Nov 14 14:20:54 2025 sparse part has weight 1055569265 (89.47/col)
  190. Fri Nov 14 14:20:54 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  191. Fri Nov 14 14:21:18 2025 commencing Lanczos iteration (64 threads)
  192. Fri Nov 14 14:21:18 2025 memory use: 7020.2 MB
  193. Fri Nov 14 14:22:56 2025 linear algebra at 0.3%, ETA 10h14m
  194. Fri Nov 14 14:25:13 2025 checking every 10000 dimensions, checkpointing every 1190000 dimensions
  195. Sat Nov 15 00:08:34 2025 lanczos halted after 46222 iterations (dim = 11797223)
  196. Sat Nov 15 00:09:12 2025 recovered 33 nontrivial dependencies
  197. Sat Nov 15 00:09:12 2025 BLanczosTime: 35312
  198. Sat Nov 15 00:09:12 2025
  199. Sat Nov 15 00:09:12 2025 commencing square root phase
  200. Sat Nov 15 00:09:12 2025 handling dependencies 1 to 64
  201. Sat Nov 15 00:09:12 2025 reading relations for dependency 1
  202. Sat Nov 15 00:09:13 2025 read 5898574 cycles
  203. Sat Nov 15 00:09:23 2025 cycles contain 22522912 unique relations
  204. Sat Nov 15 00:13:07 2025 read 22522912 relations
  205. Sat Nov 15 00:14:24 2025 multiplying 22522912 relations
  206. Sat Nov 15 00:16:24 2025 multiply complete, coefficients have about 1255.40 million bits
  207. Sat Nov 15 00:16:26 2025 initial square root is modulo 427993
  208. Sat Nov 15 00:29:16 2025 GCD is 1, no factor found
  209. Sat Nov 15 00:29:16 2025 reading relations for dependency 2
  210. Sat Nov 15 00:29:19 2025 read 5898277 cycles
  211. Sat Nov 15 00:29:42 2025 cycles contain 22528806 unique relations
  212. Sat Nov 15 00:35:48 2025 read 22528806 relations
  213. Sat Nov 15 00:39:13 2025 multiplying 22528806 relations
  214. Sat Nov 15 00:43:14 2025 multiply complete, coefficients have about 1255.74 million bits
  215. Sat Nov 15 00:43:19 2025 initial square root is modulo 429469
  216. Sat Nov 15 00:58:45 2025 GCD is 1, no factor found
  217. Sat Nov 15 00:58:45 2025 reading relations for dependency 3
  218. Sat Nov 15 00:58:48 2025 read 5901197 cycles
  219. Sat Nov 15 00:59:13 2025 cycles contain 22538166 unique relations
  220. Sat Nov 15 01:05:20 2025 read 22538166 relations
  221. Sat Nov 15 01:08:30 2025 multiplying 22538166 relations
  222. Sat Nov 15 01:12:33 2025 multiply complete, coefficients have about 1256.25 million bits
  223. Sat Nov 15 01:12:38 2025 initial square root is modulo 431803
  224. Sat Nov 15 01:28:05 2025 sqrtTime: 4733
  225. Sat Nov 15 01:28:05 2025 p52 factor: 2645286646486123163047755700385587725004533422466611
  226. Sat Nov 15 01:28:05 2025 p117 factor: 142221222258270077573537142653396057832549390454547836670315077408142024259004518539889610296387660545468104520040289
  227. Sat Nov 15 01:28:05 2025 elapsed time 11:07:26
  228.  
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