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Oct 6th, 2025
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  1. Sun Oct 5 19:55:42 2025
  2. Sun Oct 5 19:55:42 2025
  3. Sun Oct 5 19:55:42 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 5 19:55:42 2025 random seeds: 9b603bde ab35cf96
  5. Sun Oct 5 19:55:42 2025 MPI process 0 of 1
  6. Sun Oct 5 19:55:42 2025 Using 32 OpenMP threads
  7. Sun Oct 5 19:55:42 2025 factoring 40745289448971281807407173987513114298969563547098277650442413109573872648140270839943682704908015018709371702602268549458911998610875514572850070340424530905541 (161 digits)
  8. Sun Oct 5 19:55:43 2025 searching for 15-digit factors
  9. Sun Oct 5 19:55:44 2025 commencing number field sieve (161-digit input)
  10. Sun Oct 5 19:55:44 2025 R0: -10006363577361126549893365738838
  11. Sun Oct 5 19:55:44 2025 R1: 1004236086285758695377887
  12. Sun Oct 5 19:55:44 2025 A0: 1000976163385512330052793425612925520
  13. Sun Oct 5 19:55:44 2025 A1: 5354877028958443278668036763126
  14. Sun Oct 5 19:55:44 2025 A2: -10339082089946391578554639
  15. Sun Oct 5 19:55:44 2025 A3: -31626110532423819197
  16. Sun Oct 5 19:55:44 2025 A4: 17539430783160
  17. Sun Oct 5 19:55:44 2025 A5: 8316000
  18. Sun Oct 5 19:55:44 2025 skew 839387.63, size 1.495e-15, alpha -7.139, combined = 1.497e-12 rroots = 5
  19. Sun Oct 5 19:55:44 2025
  20. Sun Oct 5 19:55:44 2025 commencing relation filtering
  21. Sun Oct 5 19:55:44 2025 setting target matrix density to 130.0
  22. Sun Oct 5 19:55:44 2025 estimated available RAM is 257736.5 MB
  23. Sun Oct 5 19:55:44 2025 commencing duplicate removal, pass 1
  24. Sun Oct 5 19:56:37 2025 error -1 reading relation 23004719
  25. Sun Oct 5 19:57:10 2025 error -1 reading relation 37146998
  26. Sun Oct 5 19:58:18 2025 error -1 reading relation 67282385
  27. Sun Oct 5 19:59:08 2025 error -1 reading relation 88591140
  28. Sun Oct 5 19:59:09 2025 error -1 reading relation 88779414
  29. Sun Oct 5 19:59:11 2025 error -1 reading relation 89677274
  30. Sun Oct 5 19:59:24 2025 error -1 reading relation 95126924
  31. Sun Oct 5 19:59:51 2025 error -1 reading relation 106647756
  32. Sun Oct 5 19:59:57 2025 error -1 reading relation 108955448
  33. Sun Oct 5 20:00:04 2025 error -1 reading relation 112116783
  34. Sun Oct 5 20:00:20 2025 skipped 71 malformed relations
  35. Sun Oct 5 20:00:20 2025 found 19798437 hash collisions in 118969461 relations
  36. Sun Oct 5 20:00:59 2025 added 122002 free relations
  37. Sun Oct 5 20:00:59 2025 commencing duplicate removal, pass 2
  38. Sun Oct 5 20:04:52 2025 found 17822009 duplicates and 101269454 unique relations
  39. Sun Oct 5 20:04:52 2025 memory use: 660.8 MB
  40. Sun Oct 5 20:04:52 2025 reading ideals above 720000
  41. Sun Oct 5 20:04:53 2025 commencing singleton removal, initial pass
  42. Sun Oct 5 20:14:49 2025 memory use: 2756.0 MB
  43. Sun Oct 5 20:14:49 2025 reading all ideals from disk
  44. Sun Oct 5 20:14:52 2025 memory use: 4539.0 MB
  45. Sun Oct 5 20:15:11 2025 keeping 90101656 ideals with weight <= 200, target excess is 526303
  46. Sun Oct 5 20:15:34 2025 commencing in-memory singleton removal
  47. Sun Oct 5 20:15:37 2025 begin with 101269454 relations and 90101656 unique ideals
  48. Sun Oct 5 20:15:47 2025 reduce to 66723504 relations and 52115440 ideals in 14 passes
  49. Sun Oct 5 20:15:47 2025 max relations containing the same ideal: 159
  50. Sun Oct 5 20:16:33 2025 removing 8607020 relations and 6607020 ideals in 2000000 cliques
  51. Sun Oct 5 20:16:37 2025 commencing in-memory singleton removal
  52. Sun Oct 5 20:16:39 2025 begin with 58116484 relations and 52115440 unique ideals
  53. Sun Oct 5 20:16:43 2025 reduce to 57261307 relations and 44622090 ideals in 9 passes
  54. Sun Oct 5 20:16:43 2025 max relations containing the same ideal: 146
  55. Sun Oct 5 20:17:20 2025 removing 6789121 relations and 4789121 ideals in 2000000 cliques
  56. Sun Oct 5 20:17:25 2025 commencing in-memory singleton removal
  57. Sun Oct 5 20:17:26 2025 begin with 50472186 relations and 44622090 unique ideals
  58. Sun Oct 5 20:17:29 2025 reduce to 49867157 relations and 39207319 ideals in 8 passes
  59. Sun Oct 5 20:17:29 2025 max relations containing the same ideal: 134
  60. Sun Oct 5 20:18:02 2025 removing 6295731 relations and 4295731 ideals in 2000000 cliques
  61. Sun Oct 5 20:18:05 2025 commencing in-memory singleton removal
  62. Sun Oct 5 20:18:06 2025 begin with 43571426 relations and 39207319 unique ideals
  63. Sun Oct 5 20:18:09 2025 reduce to 43011251 relations and 34330801 ideals in 8 passes
  64. Sun Oct 5 20:18:09 2025 max relations containing the same ideal: 124
  65. Sun Oct 5 20:18:46 2025 removing 6064713 relations and 4064713 ideals in 2000000 cliques
  66. Sun Oct 5 20:18:50 2025 commencing in-memory singleton removal
  67. Sun Oct 5 20:18:51 2025 begin with 36946538 relations and 34330801 unique ideals
  68. Sun Oct 5 20:18:53 2025 reduce to 36381015 relations and 29677302 ideals in 7 passes
  69. Sun Oct 5 20:18:53 2025 max relations containing the same ideal: 108
  70. Sun Oct 5 20:19:28 2025 removing 5921647 relations and 3921647 ideals in 2000000 cliques
  71. Sun Oct 5 20:19:32 2025 commencing in-memory singleton removal
  72. Sun Oct 5 20:19:32 2025 begin with 30459368 relations and 29677302 unique ideals
  73. Sun Oct 5 20:19:34 2025 reduce to 29853745 relations and 25121136 ideals in 7 passes
  74. Sun Oct 5 20:19:34 2025 max relations containing the same ideal: 95
  75. Sun Oct 5 20:19:58 2025 removing 5830678 relations and 3830678 ideals in 2000000 cliques
  76. Sun Oct 5 20:20:01 2025 commencing in-memory singleton removal
  77. Sun Oct 5 20:20:02 2025 begin with 24023067 relations and 25121136 unique ideals
  78. Sun Oct 5 20:20:03 2025 reduce to 23334255 relations and 20561912 ideals in 7 passes
  79. Sun Oct 5 20:20:03 2025 max relations containing the same ideal: 79
  80. Sun Oct 5 20:20:21 2025 removing 5765478 relations and 3765478 ideals in 2000000 cliques
  81. Sun Oct 5 20:20:24 2025 commencing in-memory singleton removal
  82. Sun Oct 5 20:20:25 2025 begin with 17568777 relations and 20561912 unique ideals
  83. Sun Oct 5 20:20:25 2025 reduce to 16725552 relations and 15890591 ideals in 8 passes
  84. Sun Oct 5 20:20:25 2025 max relations containing the same ideal: 66
  85. Sun Oct 5 20:20:37 2025 removing 1002396 relations and 777947 ideals in 224449 cliques
  86. Sun Oct 5 20:20:39 2025 commencing in-memory singleton removal
  87. Sun Oct 5 20:20:39 2025 begin with 15723156 relations and 15890591 unique ideals
  88. Sun Oct 5 20:20:40 2025 reduce to 15679370 relations and 15068303 ideals in 7 passes
  89. Sun Oct 5 20:20:40 2025 max relations containing the same ideal: 63
  90. Sun Oct 5 20:20:55 2025 relations with 0 large ideals: 1751
  91. Sun Oct 5 20:20:55 2025 relations with 1 large ideals: 11601
  92. Sun Oct 5 20:20:55 2025 relations with 2 large ideals: 149283
  93. Sun Oct 5 20:20:55 2025 relations with 3 large ideals: 825632
  94. Sun Oct 5 20:20:55 2025 relations with 4 large ideals: 2399927
  95. Sun Oct 5 20:20:55 2025 relations with 5 large ideals: 4047152
  96. Sun Oct 5 20:20:55 2025 relations with 6 large ideals: 4203732
  97. Sun Oct 5 20:20:55 2025 relations with 7+ large ideals: 4040292
  98. Sun Oct 5 20:20:55 2025 commencing 2-way merge
  99. Sun Oct 5 20:21:10 2025 reduce to 10325614 relation sets and 9714547 unique ideals
  100. Sun Oct 5 20:21:10 2025 commencing full merge
  101. Sun Oct 5 20:29:17 2025 memory use: 1270.6 MB
  102. Sun Oct 5 20:29:19 2025 found 4603278 cycles, need 4564747
  103. Sun Oct 5 20:29:22 2025 weight of 4564747 cycles is about 593767511 (130.08/cycle)
  104. Sun Oct 5 20:29:22 2025 distribution of cycle lengths:
  105. Sun Oct 5 20:29:22 2025 1 relations: 99989
  106. Sun Oct 5 20:29:22 2025 2 relations: 225856
  107. Sun Oct 5 20:29:22 2025 3 relations: 291268
  108. Sun Oct 5 20:29:22 2025 4 relations: 316266
  109. Sun Oct 5 20:29:22 2025 5 relations: 334499
  110. Sun Oct 5 20:29:22 2025 6 relations: 336706
  111. Sun Oct 5 20:29:22 2025 7 relations: 335919
  112. Sun Oct 5 20:29:22 2025 8 relations: 325590
  113. Sun Oct 5 20:29:22 2025 9 relations: 307721
  114. Sun Oct 5 20:29:22 2025 10+ relations: 1990933
  115. Sun Oct 5 20:29:22 2025 heaviest cycle: 28 relations
  116. Sun Oct 5 20:29:24 2025 commencing cycle optimization
  117. Sun Oct 5 20:29:42 2025 start with 42963379 relations
  118. Sun Oct 5 20:32:45 2025 pruned 2246876 relations
  119. Sun Oct 5 20:32:46 2025 memory use: 1091.1 MB
  120. Sun Oct 5 20:32:46 2025 distribution of cycle lengths:
  121. Sun Oct 5 20:32:46 2025 1 relations: 99989
  122. Sun Oct 5 20:32:46 2025 2 relations: 232871
  123. Sun Oct 5 20:32:46 2025 3 relations: 305562
  124. Sun Oct 5 20:32:46 2025 4 relations: 332411
  125. Sun Oct 5 20:32:46 2025 5 relations: 354270
  126. Sun Oct 5 20:32:46 2025 6 relations: 356937
  127. Sun Oct 5 20:32:46 2025 7 relations: 357844
  128. Sun Oct 5 20:32:46 2025 8 relations: 344443
  129. Sun Oct 5 20:32:46 2025 9 relations: 325238
  130. Sun Oct 5 20:32:46 2025 10+ relations: 1855182
  131. Sun Oct 5 20:32:46 2025 heaviest cycle: 28 relations
  132. Sun Oct 5 20:32:58 2025 RelProcTime: 2234
  133. Sun Oct 5 20:32:58 2025
  134. Sun Oct 5 20:32:58 2025 commencing linear algebra
  135. Sun Oct 5 20:32:58 2025 using VBITS=256
  136. Sun Oct 5 20:32:58 2025 stopping after matrix build
  137. Sun Oct 5 20:32:58 2025 initialized process (0,0) of 1 x 1 grid
  138. Sun Oct 5 20:32:59 2025 read 4564747 cycles
  139. Sun Oct 5 20:33:15 2025 cycles contain 15375743 unique relations
  140. Sun Oct 5 20:35:53 2025 read 15375743 relations
  141. Sun Oct 5 20:35:55 2025 using 20 quadratic characters above 4294917295
  142. Sun Oct 5 20:35:58 2025 building initial matrix
  143. Sun Oct 5 20:42:46 2025 memory use: 2124.2 MB
  144. Sun Oct 5 20:42:53 2025 read 4564747 cycles
  145. Sun Oct 5 20:42:54 2025 matrix is 4564570 x 4564747 (2277.5 MB) with weight 694046515 (152.04/col)
  146. Sun Oct 5 20:42:54 2025 sparse part has weight 546816626 (119.79/col)
  147. Sun Oct 5 20:44:20 2025 filtering completed in 2 passes
  148. Sun Oct 5 20:44:22 2025 matrix is 4564493 x 4564670 (2277.5 MB) with weight 694041679 (152.05/col)
  149. Sun Oct 5 20:44:22 2025 sparse part has weight 546814419 (119.79/col)
  150. Sun Oct 5 20:44:56 2025 BLanczosTime: 718
  151. Sun Oct 5 20:44:56 2025 elapsed time 00:49:14
  152. Sun Oct 5 21:41:00 2025
  153. Sun Oct 5 21:41:00 2025
  154. Sun Oct 5 21:41:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  155. Sun Oct 5 21:41:00 2025 random seeds: 53014395 87d8cd51
  156. Sun Oct 5 21:41:00 2025 MPI process 0 of 1
  157. Sun Oct 5 21:41:00 2025 Using 64 OpenMP threads
  158. Sun Oct 5 21:41:00 2025 factoring 40745289448971281807407173987513114298969563547098277650442413109573872648140270839943682704908015018709371702602268549458911998610875514572850070340424530905541 (161 digits)
  159. Sun Oct 5 21:41:01 2025 searching for 15-digit factors
  160. Sun Oct 5 21:41:01 2025 commencing number field sieve (161-digit input)
  161. Sun Oct 5 21:41:01 2025 R0: -10006363577361126549893365738838
  162. Sun Oct 5 21:41:01 2025 R1: 1004236086285758695377887
  163. Sun Oct 5 21:41:01 2025 A0: 1000976163385512330052793425612925520
  164. Sun Oct 5 21:41:01 2025 A1: 5354877028958443278668036763126
  165. Sun Oct 5 21:41:01 2025 A2: -10339082089946391578554639
  166. Sun Oct 5 21:41:01 2025 A3: -31626110532423819197
  167. Sun Oct 5 21:41:01 2025 A4: 17539430783160
  168. Sun Oct 5 21:41:01 2025 A5: 8316000
  169. Sun Oct 5 21:41:01 2025 skew 839387.63, size 1.495e-15, alpha -7.139, combined = 1.497e-12 rroots = 5
  170. Sun Oct 5 21:41:01 2025
  171. Sun Oct 5 21:41:01 2025 commencing linear algebra
  172. Sun Oct 5 21:41:01 2025 using VBITS=256
  173. Sun Oct 5 21:41:01 2025 skipping matrix build
  174. Sun Oct 5 21:41:01 2025 initialized process (0,0) of 1 x 1 grid
  175. Sun Oct 5 21:41:05 2025 matrix starts at (0, 0)
  176. Sun Oct 5 21:41:07 2025 matrix is 4564493 x 4564670 (2277.5 MB) with weight 694041679 (152.05/col)
  177. Sun Oct 5 21:41:07 2025 sparse part has weight 546814419 (119.79/col)
  178. Sun Oct 5 21:41:07 2025 saving the first 240 matrix rows for later
  179. Sun Oct 5 21:41:08 2025 matrix includes 256 packed rows
  180. Sun Oct 5 21:41:10 2025 matrix is 4564253 x 4564670 (2039.7 MB) with weight 494622900 (108.36/col)
  181. Sun Oct 5 21:41:10 2025 sparse part has weight 461664471 (101.14/col)
  182. Sun Oct 5 21:41:10 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  183. Sun Oct 5 21:41:20 2025 commencing Lanczos iteration (64 threads)
  184. Sun Oct 5 21:41:20 2025 memory use: 2885.3 MB
  185. Sun Oct 5 21:41:56 2025 linear algebra at 0.7%, ETA 1h28m
  186. Sun Oct 5 21:42:48 2025 checking every 50000 dimensions, checkpointing every 3150000 dimensions
  187. Sun Oct 5 23:05:45 2025 lanczos halted after 17884 iterations (dim = 4564253)
  188. Sun Oct 5 23:05:59 2025 recovered 31 nontrivial dependencies
  189. Sun Oct 5 23:06:00 2025 BLanczosTime: 5099
  190. Sun Oct 5 23:06:00 2025
  191. Sun Oct 5 23:06:00 2025 commencing square root phase
  192. Sun Oct 5 23:06:00 2025 handling dependencies 1 to 64
  193. Sun Oct 5 23:06:00 2025 reading relations for dependency 1
  194. Sun Oct 5 23:06:00 2025 read 2283076 cycles
  195. Sun Oct 5 23:06:03 2025 cycles contain 7690424 unique relations
  196. Sun Oct 5 23:07:38 2025 read 7690424 relations
  197. Sun Oct 5 23:08:03 2025 multiplying 7690424 relations
  198. Sun Oct 5 23:08:44 2025 multiply complete, coefficients have about 448.78 million bits
  199. Sun Oct 5 23:08:45 2025 initial square root is modulo 112847027
  200. Sun Oct 5 23:11:00 2025 found factor: 872940906730911413988194432314491653017476689344264016579
  201. Sun Oct 5 23:11:00 2025 reading relations for dependency 2
  202. Sun Oct 5 23:11:00 2025 read 2281003 cycles
  203. Sun Oct 5 23:11:03 2025 cycles contain 7686718 unique relations
  204. Sun Oct 5 23:13:07 2025 read 7686718 relations
  205. Sun Oct 5 23:14:15 2025 multiplying 7686718 relations
  206. Sun Oct 5 23:15:44 2025 multiply complete, coefficients have about 448.55 million bits
  207. Sun Oct 5 23:15:46 2025 initial square root is modulo 111806027
  208. Sun Oct 5 23:20:55 2025 GCD is 1, no factor found
  209. Sun Oct 5 23:20:55 2025 reading relations for dependency 3
  210. Sun Oct 5 23:20:56 2025 read 2277591 cycles
  211. Sun Oct 5 23:21:05 2025 cycles contain 7676200 unique relations
  212. Sun Oct 5 23:23:40 2025 read 7676200 relations
  213. Sun Oct 5 23:24:49 2025 multiplying 7676200 relations
  214. Sun Oct 5 23:26:20 2025 multiply complete, coefficients have about 447.94 million bits
  215. Sun Oct 5 23:26:22 2025 initial square root is modulo 109023493
  216. Sun Oct 5 23:31:28 2025 sqrtTime: 1528
  217. Sun Oct 5 23:31:28 2025 p51 factor: 786295876087364925471972219960853201917808763328299
  218. Sun Oct 5 23:31:28 2025 p53 factor: 59361732020932236615548592184662284153825206798774021
  219. Sun Oct 5 23:31:28 2025 p57 factor: 872940906730911413988194432314491653017476689344264016579
  220. Sun Oct 5 23:31:28 2025 elapsed time 01:50:28
  221.  
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