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Oct 3rd, 2026
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  1. Fri Oct 2 17:40:12 2026 Msieve v. 1.54 (SVN Unversioned directory)
  2. Fri Oct 2 17:40:12 2026 random seeds: 1aa53366 d57d6716
  3. Fri Oct 2 17:40:12 2026 Using 16 OpenMP threads
  4. Fri Oct 2 17:40:12 2026 factoring 1092630559995176859867031931385739822308598111423577165569782911287318134130307897164978386306858531736419683673339674116005723453245722058651670794752530073645341205483 (169 digits)
  5. Fri Oct 2 17:40:13 2026 no P-1/P+1/ECM available, skipping
  6. Fri Oct 2 17:40:13 2026 commencing number field sieve (169-digit input)
  7. Fri Oct 2 17:40:13 2026 R0: -506553940450299661342967736419298
  8. Fri Oct 2 17:40:13 2026 R1: 110964169590362819863
  9. Fri Oct 2 17:40:13 2026 A0: 81290079264324078817673433480921358489
  10. Fri Oct 2 17:40:13 2026 A1: 236771746342211278664030560949256
  11. Fri Oct 2 17:40:13 2026 A2: -25598218691789727343586843
  12. Fri Oct 2 17:40:13 2026 A3: -10239162064173045394
  13. Fri Oct 2 17:40:13 2026 A4: 330532894188
  14. Fri Oct 2 17:40:13 2026 A5: 32760
  15. Fri Oct 2 17:40:13 2026 skew 8790838.74, size 3.422e-16, alpha -5.529, combined = 6.290e-13 rroots = 5
  16. Fri Oct 2 17:40:13 2026
  17. Fri Oct 2 17:40:13 2026 commencing relation filtering
  18. Fri Oct 2 17:40:13 2026 estimated available RAM is 31874.3 MB
  19. Fri Oct 2 17:40:13 2026 commencing duplicate removal, pass 1
  20. Fri Oct 2 17:40:14 2026 error -1 reading relation 1381641
  21. Fri Oct 2 17:40:15 2026 error -1 reading relation 2304876
  22. Fri Oct 2 17:40:16 2026 error -1 reading relation 3137536
  23. Fri Oct 2 17:40:18 2026 error -1 reading relation 5684777
  24. Fri Oct 2 17:40:20 2026 error -1 reading relation 8418271
  25. Fri Oct 2 17:40:21 2026 error -1 reading relation 10237217
  26. Fri Oct 2 17:40:21 2026 error -1 reading relation 10337956
  27. Fri Oct 2 17:40:21 2026 error -1 reading relation 10441328
  28. Fri Oct 2 17:40:27 2026 error -1 reading relation 16969140
  29. Fri Oct 2 17:40:27 2026 error -1 reading relation 16969141
  30. Fri Oct 2 17:40:27 2026 error -1 reading relation 17096607
  31. Fri Oct 2 17:40:27 2026 error -1 reading relation 17096608
  32. Fri Oct 2 17:40:27 2026 error -1 reading relation 17096609
  33. Fri Oct 2 17:40:27 2026 error -1 reading relation 17553282
  34. Fri Oct 2 17:40:28 2026 error -1 reading relation 17845177
  35. Fri Oct 2 17:40:30 2026 error -1 reading relation 20879610
  36. Fri Oct 2 17:40:38 2026 error -1 reading relation 31912996
  37. Fri Oct 2 17:40:40 2026 error -1 reading relation 33545005
  38. Fri Oct 2 17:40:40 2026 error -1 reading relation 33545006
  39. Fri Oct 2 17:40:42 2026 error -1 reading relation 36662435
  40. Fri Oct 2 17:40:42 2026 error -1 reading relation 36976413
  41. Fri Oct 2 17:40:46 2026 error -1 reading relation 41906658
  42. Fri Oct 2 17:40:46 2026 error -1 reading relation 41906659
  43. Fri Oct 2 17:40:50 2026 error -1 reading relation 47699186
  44. Fri Oct 2 17:40:50 2026 error -1 reading relation 47699187
  45. Fri Oct 2 17:40:51 2026 error -1 reading relation 49631876
  46. Fri Oct 2 17:40:55 2026 error -1 reading relation 54978617
  47. Fri Oct 2 17:40:56 2026 error -1 reading relation 56092107
  48. Fri Oct 2 17:40:57 2026 error -1 reading relation 56384231
  49. Fri Oct 2 17:40:58 2026 error -1 reading relation 58093146
  50. Fri Oct 2 17:41:03 2026 error -11 reading relation 64901481
  51. Fri Oct 2 17:41:04 2026 error -1 reading relation 65411471
  52. Fri Oct 2 17:41:05 2026 error -1 reading relation 67455298
  53. Fri Oct 2 17:41:05 2026 error -1 reading relation 67455299
  54. Fri Oct 2 17:41:06 2026 error -1 reading relation 68311841
  55. Fri Oct 2 17:41:06 2026 error -1 reading relation 68311842
  56. Fri Oct 2 17:41:09 2026 error -6 reading relation 71816489
  57. Fri Oct 2 17:41:16 2026 error -1 reading relation 81401936
  58. Fri Oct 2 17:41:18 2026 error -1 reading relation 82945233
  59. Fri Oct 2 17:41:18 2026 error -1 reading relation 82945234
  60. Fri Oct 2 17:41:18 2026 error -1 reading relation 84111181
  61. Fri Oct 2 17:41:20 2026 error -1 reading relation 86240456
  62. Fri Oct 2 17:41:20 2026 error -1 reading relation 86836198
  63. Fri Oct 2 17:41:21 2026 error -1 reading relation 87735352
  64. Fri Oct 2 17:41:22 2026 error -1 reading relation 89247844
  65. Fri Oct 2 17:41:22 2026 error -1 reading relation 90326006
  66. Fri Oct 2 17:41:24 2026 error -1 reading relation 93749022
  67. Fri Oct 2 17:41:27 2026 error -1 reading relation 98938840
  68. Fri Oct 2 17:41:27 2026 error -1 reading relation 98963158
  69. Fri Oct 2 17:41:28 2026 error -1 reading relation 100400053
  70. Fri Oct 2 17:41:29 2026 error -1 reading relation 101715687
  71. Fri Oct 2 17:41:32 2026 error -1 reading relation 106632070
  72. Fri Oct 2 17:41:34 2026 error -1 reading relation 110285041
  73. Fri Oct 2 17:41:38 2026 error -1 reading relation 117273705
  74. Fri Oct 2 17:41:38 2026 error -1 reading relation 117789824
  75. Fri Oct 2 17:41:47 2026 skipped 8 malformed relations
  76. Fri Oct 2 17:41:47 2026 found 3996712 hash collisions in 133711219 relations
  77. Fri Oct 2 17:41:47 2026 cached 133711282 relation coordinates for pass 2 (2296.3 MB)
  78. Fri Oct 2 17:42:02 2026 added 122444 free relations
  79. Fri Oct 2 17:42:02 2026 commencing duplicate removal, pass 2
  80. Fri Oct 2 17:42:07 2026 found 0 duplicates and 133833663 unique relations
  81. Fri Oct 2 17:42:07 2026 memory use: 576.0 MB
  82. Fri Oct 2 17:42:07 2026 reading ideals above 720000
  83. Fri Oct 2 17:42:07 2026 commencing singleton removal, initial pass
  84. Fri Oct 2 17:44:14 2026 LP64 contains 133833663 relations and 126365875 unique large ideals
  85. Fri Oct 2 17:44:14 2026 memory use: 4468.0 MB
  86. Fri Oct 2 17:44:14 2026 preparing 64-bit LP file for common filtering
  87. Fri Oct 2 17:44:14 2026 start with 133833663 relations and 126365875 ideals
  88. Fri Oct 2 17:44:59 2026 compacted LP dataset has 133833663 relations and 126365875 large ideals
  89. Fri Oct 2 17:44:59 2026 reading all ideals from disk
  90. Fri Oct 2 17:45:05 2026 memory use: 6175.5 MB
  91. Fri Oct 2 17:45:10 2026 keeping 125811784 ideals with weight <= 200, target excess is 669950
  92. Fri Oct 2 17:45:19 2026 commencing in-memory singleton removal
  93. Fri Oct 2 17:45:26 2026 begin with 133833663 relations and 125811784 unique ideals
  94. Fri Oct 2 17:45:26 2026 memory use: 975.9 MB
  95. Fri Oct 2 17:45:33 2026 reduce to 82119669 relations and 68684586 ideals in 4 passes
  96. Fri Oct 2 17:45:33 2026 max relations containing the same ideal: 152
  97. Fri Oct 2 17:45:54 2026 removing 9716562 relations and 7716562 ideals in 2000000 cliques
  98. Fri Oct 2 17:45:55 2026 commencing in-memory singleton removal
  99. Fri Oct 2 17:45:59 2026 begin with 72403107 relations and 68684586 unique ideals
  100. Fri Oct 2 17:45:59 2026 memory use: 540.0 MB
  101. Fri Oct 2 17:46:00 2026 reduce to 71509670 relations and 60048065 ideals in 1 passes
  102. Fri Oct 2 17:46:00 2026 max relations containing the same ideal: 139
  103. Fri Oct 2 17:46:18 2026 removing 7681158 relations and 5681158 ideals in 2000000 cliques
  104. Fri Oct 2 17:46:18 2026 commencing in-memory singleton removal
  105. Fri Oct 2 17:46:21 2026 begin with 63828512 relations and 60048065 unique ideals
  106. Fri Oct 2 17:46:21 2026 memory use: 474.1 MB
  107. Fri Oct 2 17:46:22 2026 reduce to 63163367 relations and 53683364 ideals in 1 passes
  108. Fri Oct 2 17:46:22 2026 max relations containing the same ideal: 127
  109. Fri Oct 2 17:46:38 2026 removing 7148987 relations and 5148987 ideals in 2000000 cliques
  110. Fri Oct 2 17:46:39 2026 commencing in-memory singleton removal
  111. Fri Oct 2 17:46:41 2026 begin with 56014380 relations and 53683364 unique ideals
  112. Fri Oct 2 17:46:41 2026 memory use: 425.6 MB
  113. Fri Oct 2 17:46:42 2026 reduce to 55372164 relations and 47873471 ideals in 1 passes
  114. Fri Oct 2 17:46:42 2026 max relations containing the same ideal: 115
  115. Fri Oct 2 17:46:56 2026 removing 6927248 relations and 4927248 ideals in 2000000 cliques
  116. Fri Oct 2 17:46:56 2026 commencing in-memory singleton removal
  117. Fri Oct 2 17:46:59 2026 begin with 48444916 relations and 47873471 unique ideals
  118. Fri Oct 2 17:46:59 2026 memory use: 381.2 MB
  119. Fri Oct 2 17:46:59 2026 reduce to 47769268 relations and 42248657 ideals in 1 passes
  120. Fri Oct 2 17:46:59 2026 max relations containing the same ideal: 109
  121. Fri Oct 2 17:47:11 2026 removing 6835677 relations and 4835677 ideals in 2000000 cliques
  122. Fri Oct 2 17:47:12 2026 commencing in-memory singleton removal
  123. Fri Oct 2 17:47:13 2026 begin with 40933591 relations and 42248657 unique ideals
  124. Fri Oct 2 17:47:13 2026 memory use: 338.3 MB
  125. Fri Oct 2 17:47:14 2026 reduce to 40179070 relations and 36630441 ideals in 1 passes
  126. Fri Oct 2 17:47:14 2026 max relations containing the same ideal: 98
  127. Fri Oct 2 17:47:24 2026 removing 6825656 relations and 4825656 ideals in 2000000 cliques
  128. Fri Oct 2 17:47:25 2026 commencing in-memory singleton removal
  129. Fri Oct 2 17:47:26 2026 begin with 33353414 relations and 36630441 unique ideals
  130. Fri Oct 2 17:47:26 2026 memory use: 295.5 MB
  131. Fri Oct 2 17:47:27 2026 reduce to 32468314 relations and 30880737 ideals in 2 passes
  132. Fri Oct 2 17:47:27 2026 max relations containing the same ideal: 85
  133. Fri Oct 2 17:47:35 2026 removing 3411882 relations and 2601448 ideals in 810434 cliques
  134. Fri Oct 2 17:47:36 2026 commencing in-memory singleton removal
  135. Fri Oct 2 17:47:37 2026 begin with 29056432 relations and 30880737 unique ideals
  136. Fri Oct 2 17:47:37 2026 memory use: 251.6 MB
  137. Fri Oct 2 17:47:38 2026 reduce to 28798438 relations and 28015435 ideals in 1 passes
  138. Fri Oct 2 17:47:38 2026 max relations containing the same ideal: 79
  139. Fri Oct 2 17:47:46 2026 relations with 0 large ideals: 2425
  140. Fri Oct 2 17:47:46 2026 relations with 1 large ideals: 10685
  141. Fri Oct 2 17:47:46 2026 relations with 2 large ideals: 157757
  142. Fri Oct 2 17:47:46 2026 relations with 3 large ideals: 984722
  143. Fri Oct 2 17:47:46 2026 relations with 4 large ideals: 3291950
  144. Fri Oct 2 17:47:46 2026 relations with 5 large ideals: 6518837
  145. Fri Oct 2 17:47:46 2026 relations with 6 large ideals: 8012714
  146. Fri Oct 2 17:47:46 2026 relations with 7+ large ideals: 9819348
  147. Fri Oct 2 17:47:46 2026 commencing 2-way merge
  148. Fri Oct 2 17:47:56 2026 reduce to 18450539 relation sets and 17667536 unique ideals
  149. Fri Oct 2 17:47:56 2026 commencing full merge
  150. Fri Oct 2 17:51:22 2026 memory use: 2270.8 MB
  151. Fri Oct 2 17:51:23 2026 found 9179970 cycles, need 9073736
  152. Fri Oct 2 17:51:23 2026 weight of 9073736 cycles is about 816821515 (90.02/cycle)
  153. Fri Oct 2 17:51:23 2026 distribution of cycle lengths:
  154. Fri Oct 2 17:51:23 2026 1 relations: 751150
  155. Fri Oct 2 17:51:23 2026 2 relations: 866903
  156. Fri Oct 2 17:51:23 2026 3 relations: 912991
  157. Fri Oct 2 17:51:23 2026 4 relations: 870046
  158. Fri Oct 2 17:51:23 2026 5 relations: 848446
  159. Fri Oct 2 17:51:23 2026 6 relations: 796421
  160. Fri Oct 2 17:51:23 2026 7 relations: 734877
  161. Fri Oct 2 17:51:23 2026 8 relations: 655254
  162. Fri Oct 2 17:51:23 2026 9 relations: 572057
  163. Fri Oct 2 17:51:23 2026 10+ relations: 2065591
  164. Fri Oct 2 17:51:23 2026 heaviest cycle: 22 relations
  165. Fri Oct 2 17:51:24 2026 commencing cycle optimization
  166. Fri Oct 2 17:51:32 2026 start with 59267321 relations
  167. Fri Oct 2 17:52:33 2026 pruned 2014011 relations
  168. Fri Oct 2 17:52:33 2026 memory use: 1881.2 MB
  169. Fri Oct 2 17:52:33 2026 distribution of cycle lengths:
  170. Fri Oct 2 17:52:33 2026 1 relations: 751150
  171. Fri Oct 2 17:52:33 2026 2 relations: 888807
  172. Fri Oct 2 17:52:33 2026 3 relations: 951118
  173. Fri Oct 2 17:52:33 2026 4 relations: 900747
  174. Fri Oct 2 17:52:33 2026 5 relations: 881955
  175. Fri Oct 2 17:52:33 2026 6 relations: 822906
  176. Fri Oct 2 17:52:33 2026 7 relations: 758173
  177. Fri Oct 2 17:52:33 2026 8 relations: 669319
  178. Fri Oct 2 17:52:33 2026 9 relations: 577254
  179. Fri Oct 2 17:52:33 2026 10+ relations: 1872307
  180. Fri Oct 2 17:52:33 2026 heaviest cycle: 22 relations
  181. Fri Oct 2 17:52:35 2026 RelProcTime: 742
  182. Fri Oct 2 17:52:35 2026
  183. Fri Oct 2 17:52:35 2026 commencing linear algebra
  184. Fri Oct 2 17:52:35 2026 using VBITS=256
  185. Fri Oct 2 17:52:35 2026 read 9073736 cycles
  186. Fri Oct 2 17:52:43 2026 cycles contain 28290474 unique relations
  187. Fri Oct 2 17:53:21 2026 read 28290474 relations
  188. Fri Oct 2 17:53:28 2026 using 20 quadratic characters above 4294917295
  189. Fri Oct 2 17:53:38 2026 building initial matrix
  190. Fri Oct 2 17:54:09 2026 memory use: 3852.5 MB
  191. Fri Oct 2 17:54:12 2026 read 9073736 cycles
  192. Fri Oct 2 17:54:13 2026 matrix is 9073554 x 9073736 (3370.6 MB) with weight 1037567232 (114.35/col)
  193. Fri Oct 2 17:54:13 2026 sparse part has weight 774692133 (85.38/col)
  194. Fri Oct 2 17:54:38 2026 filtering completed in 2 passes
  195. Fri Oct 2 17:54:39 2026 matrix is 9071981 x 9072163 (3370.4 MB) with weight 1037498320 (114.36/col)
  196. Fri Oct 2 17:54:39 2026 sparse part has weight 774669324 (85.39/col)
  197. Fri Oct 2 17:54:49 2026 matrix starts at (0, 0)
  198. Fri Oct 2 17:54:50 2026 matrix is 9071981 x 9072163 (3370.4 MB) with weight 1037498320 (114.36/col)
  199. Fri Oct 2 17:54:50 2026 sparse part has weight 774669324 (85.39/col)
  200. Fri Oct 2 17:54:50 2026 saving the first 240 matrix rows for later
  201. Fri Oct 2 17:54:51 2026 matrix includes 256 packed rows
  202. Fri Oct 2 17:54:53 2026 matrix is 9071741 x 9072163 (3065.9 MB) with weight 702817503 (77.47/col)
  203. Fri Oct 2 17:54:53 2026 sparse part has weight 658553753 (72.59/col)
  204. Fri Oct 2 17:54:53 2026 using GPU 0 (NVIDIA GeForce RTX 3080)
  205. Fri Oct 2 17:54:53 2026 selected card has CUDA arch 8.6
  206. Fri Oct 2 17:54:53 2026 storing a single copy of the matrix (no transpose) on the GPU
  207. Fri Oct 2 17:54:53 2026 computed block_nnz 18143482 (L2 cache 5242880 bytes, average column weight 72.6)
  208. Fri Oct 2 17:54:53 2026 note: single_copy's L2-sized blocks are smaller than its row pointer floor; expect it to be slower than two copies, only saving GPU memory
  209. Fri Oct 2 17:54:53 2026 nonzeros per matrix block: 18143482
  210. Fri Oct 2 17:54:53 2026 SpMV kernel: auto (by nonzeros per row)
  211. Fri Oct 2 17:54:53 2026 GPU memory: 9069 MB free, 1938 MB for vectors, 6854 MB for sparse matrix blocks (3867 MB needed)
  212. Fri Oct 2 17:55:12 2026 commencing Lanczos iteration
  213. Fri Oct 2 17:55:14 2026 memory use: 6007.5 MB
  214. Fri Oct 2 17:55:52 2026 linear algebra at 0.3%, ETA 3h 2m
  215. Fri Oct 2 17:56:48 2026 checking every 40000 dimensions, checkpointing every 3000000 dimensions
  216. Fri Oct 2 21:06:58 2026 lanczos halted after 35542 iterations (dim = 9071740)
  217. Fri Oct 2 21:08:10 2026 recovered 33 nontrivial dependencies
  218. Fri Oct 2 21:08:11 2026 BLanczosTime: 11736
  219. Fri Oct 2 21:08:11 2026
  220. Fri Oct 2 21:08:11 2026 commencing square root phase
  221. Fri Oct 2 21:08:11 2026 handling dependencies 1 to 64
  222. Fri Oct 2 21:08:11 2026 reading relations for dependency 1
  223. Fri Oct 2 21:08:32 2026 read 4536296 cycles
  224. Fri Oct 2 21:08:44 2026 cycles contain 14149206 unique relations
  225. Fri Oct 2 21:13:02 2026 read 14149206 relations
  226. Fri Oct 2 21:15:08 2026 multiplying 14149206 relations
  227. Fri Oct 2 21:17:26 2026 multiply complete, coefficients have about 732.84 million bits
  228. Fri Oct 2 21:17:29 2026 initial square root is modulo 3755431
  229. Fri Oct 2 21:22:40 2026 sqrtTime: 869
  230. Fri Oct 2 21:22:40 2026 p71 factor: 14012204967114208074363583247895484163380502870891163533792248572898459
  231. Fri Oct 2 21:22:40 2026 p98 factor: 77977060895092118580602517916942490083516420405533153105082857299833880587711396295959927943287537
  232. Fri Oct 2 21:22:40 2026 elapsed time 03:42:28
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