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C165_2484_1653

gchilders
May 1st, 2026
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  1. Fri May 1 10:04:42 2026
  2. Fri May 1 10:04:42 2026
  3. Fri May 1 10:04:42 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri May 1 10:04:42 2026 random seeds: 867f390f f14e3b4e
  5. Fri May 1 10:04:42 2026 MPI process 0 of 1
  6. Fri May 1 10:04:42 2026 Using 46 OpenMP threads
  7. Fri May 1 10:04:42 2026 factoring 540031636882156046029224407238507846381988580553469721217133667064980580169361548686592790184356541674137200758824238591767276416736146422354141780128111858094213671 (165 digits)
  8. Fri May 1 10:04:43 2026 no P-1/P+1/ECM available, skipping
  9. Fri May 1 10:04:43 2026 commencing number field sieve (165-digit input)
  10. Fri May 1 10:04:43 2026 R0: -184588220691713851574882692344076
  11. Fri May 1 10:04:43 2026 R1: 62044000224803901341
  12. Fri May 1 10:04:43 2026 A0: 12442048649770713369460422221734343852190
  13. Fri May 1 10:04:43 2026 A1: 4003771294401196581997715808067819
  14. Fri May 1 10:04:43 2026 A2: 191820447260617229244046314
  15. Fri May 1 10:04:43 2026 A3: -23592804832443031531
  16. Fri May 1 10:04:43 2026 A4: -130020198936
  17. Fri May 1 10:04:43 2026 A5: 15120
  18. Fri May 1 10:04:43 2026 skew 20451095.43, size 7.682e-16, alpha -7.585, combined = 9.943e-13 rroots = 5
  19. Fri May 1 10:04:43 2026
  20. Fri May 1 10:04:43 2026 commencing relation filtering
  21. Fri May 1 10:04:43 2026 setting target matrix density to 110.0
  22. Fri May 1 10:04:43 2026 estimated available RAM is 385608.3 MB
  23. Fri May 1 10:04:43 2026 commencing duplicate removal, pass 1
  24. Fri May 1 10:05:32 2026 error -15 reading relation 79791585
  25. Fri May 1 10:05:49 2026 skipped 46 malformed relations
  26. Fri May 1 10:05:49 2026 found 5178572 hash collisions in 109040587 relations
  27. Fri May 1 10:06:11 2026 added 121540 free relations
  28. Fri May 1 10:06:11 2026 commencing duplicate removal, pass 2
  29. Fri May 1 10:06:33 2026 found 0 duplicates and 109162127 unique relations
  30. Fri May 1 10:06:33 2026 memory use: 394.4 MB
  31. Fri May 1 10:06:33 2026 reading ideals above 720000
  32. Fri May 1 10:06:34 2026 commencing singleton removal, initial pass
  33. Fri May 1 10:09:58 2026 memory use: 3012.0 MB
  34. Fri May 1 10:09:59 2026 reading all ideals from disk
  35. Fri May 1 10:10:02 2026 memory use: 4909.2 MB
  36. Fri May 1 10:10:08 2026 keeping 113888982 ideals with weight <= 200, target excess is 583326
  37. Fri May 1 10:10:16 2026 commencing in-memory singleton removal
  38. Fri May 1 10:10:17 2026 begin with 109162127 relations and 113888982 unique ideals
  39. Fri May 1 10:10:21 2026 reduce to 48148928 relations and 43934844 ideals in 18 passes
  40. Fri May 1 10:10:21 2026 max relations containing the same ideal: 121
  41. Fri May 1 10:10:33 2026 removing 3894907 relations and 3494907 ideals in 400000 cliques
  42. Fri May 1 10:10:34 2026 commencing in-memory singleton removal
  43. Fri May 1 10:10:34 2026 begin with 44254021 relations and 43934844 unique ideals
  44. Fri May 1 10:10:35 2026 reduce to 44015685 relations and 40198856 ideals in 9 passes
  45. Fri May 1 10:10:35 2026 max relations containing the same ideal: 112
  46. Fri May 1 10:10:46 2026 removing 2862874 relations and 2462874 ideals in 400000 cliques
  47. Fri May 1 10:10:48 2026 commencing in-memory singleton removal
  48. Fri May 1 10:10:48 2026 begin with 41152811 relations and 40198856 unique ideals
  49. Fri May 1 10:10:49 2026 reduce to 41008182 relations and 37590015 ideals in 9 passes
  50. Fri May 1 10:10:49 2026 max relations containing the same ideal: 109
  51. Fri May 1 10:11:00 2026 removing 2534470 relations and 2134470 ideals in 400000 cliques
  52. Fri May 1 10:11:01 2026 commencing in-memory singleton removal
  53. Fri May 1 10:11:01 2026 begin with 38473712 relations and 37590015 unique ideals
  54. Fri May 1 10:11:02 2026 reduce to 38351564 relations and 35332235 ideals in 9 passes
  55. Fri May 1 10:11:02 2026 max relations containing the same ideal: 103
  56. Fri May 1 10:11:14 2026 removing 2359291 relations and 1959291 ideals in 400000 cliques
  57. Fri May 1 10:11:15 2026 commencing in-memory singleton removal
  58. Fri May 1 10:11:15 2026 begin with 35992273 relations and 35332235 unique ideals
  59. Fri May 1 10:11:16 2026 reduce to 35880521 relations and 33260098 ideals in 9 passes
  60. Fri May 1 10:11:16 2026 max relations containing the same ideal: 99
  61. Fri May 1 10:11:25 2026 removing 2243183 relations and 1843184 ideals in 400000 cliques
  62. Fri May 1 10:11:26 2026 commencing in-memory singleton removal
  63. Fri May 1 10:11:27 2026 begin with 33637338 relations and 33260098 unique ideals
  64. Fri May 1 10:11:27 2026 reduce to 33529491 relations and 31308023 ideals in 9 passes
  65. Fri May 1 10:11:27 2026 max relations containing the same ideal: 95
  66. Fri May 1 10:11:36 2026 removing 2161505 relations and 1761505 ideals in 400000 cliques
  67. Fri May 1 10:11:37 2026 commencing in-memory singleton removal
  68. Fri May 1 10:11:37 2026 begin with 31367986 relations and 31308023 unique ideals
  69. Fri May 1 10:11:38 2026 reduce to 31261843 relations and 29439277 ideals in 8 passes
  70. Fri May 1 10:11:38 2026 max relations containing the same ideal: 89
  71. Fri May 1 10:11:46 2026 removing 2100934 relations and 1700934 ideals in 400000 cliques
  72. Fri May 1 10:11:46 2026 commencing in-memory singleton removal
  73. Fri May 1 10:11:47 2026 begin with 29160909 relations and 29439277 unique ideals
  74. Fri May 1 10:11:47 2026 reduce to 29053373 relations and 27629585 ideals in 7 passes
  75. Fri May 1 10:11:47 2026 max relations containing the same ideal: 83
  76. Fri May 1 10:11:55 2026 removing 2056925 relations and 1656925 ideals in 400000 cliques
  77. Fri May 1 10:11:55 2026 commencing in-memory singleton removal
  78. Fri May 1 10:11:56 2026 begin with 26996448 relations and 27629585 unique ideals
  79. Fri May 1 10:11:56 2026 reduce to 26886573 relations and 25861512 ideals in 8 passes
  80. Fri May 1 10:11:56 2026 max relations containing the same ideal: 78
  81. Fri May 1 10:12:03 2026 removing 1807400 relations and 1458998 ideals in 348402 cliques
  82. Fri May 1 10:12:04 2026 commencing in-memory singleton removal
  83. Fri May 1 10:12:04 2026 begin with 25079173 relations and 25861512 unique ideals
  84. Fri May 1 10:12:05 2026 reduce to 24989309 relations and 24311684 ideals in 7 passes
  85. Fri May 1 10:12:05 2026 max relations containing the same ideal: 77
  86. Fri May 1 10:12:13 2026 relations with 0 large ideals: 2026
  87. Fri May 1 10:12:13 2026 relations with 1 large ideals: 11712
  88. Fri May 1 10:12:13 2026 relations with 2 large ideals: 163562
  89. Fri May 1 10:12:13 2026 relations with 3 large ideals: 998990
  90. Fri May 1 10:12:13 2026 relations with 4 large ideals: 3241846
  91. Fri May 1 10:12:13 2026 relations with 5 large ideals: 6100392
  92. Fri May 1 10:12:13 2026 relations with 6 large ideals: 6967237
  93. Fri May 1 10:12:13 2026 relations with 7+ large ideals: 7503544
  94. Fri May 1 10:12:13 2026 commencing 2-way merge
  95. Fri May 1 10:12:23 2026 reduce to 14895958 relation sets and 14218333 unique ideals
  96. Fri May 1 10:12:23 2026 commencing full merge
  97. Fri May 1 10:15:36 2026 memory use: 1748.4 MB
  98. Fri May 1 10:15:37 2026 found 6810298 cycles, need 6752533
  99. Fri May 1 10:15:39 2026 weight of 6752533 cycles is about 742973829 (110.03/cycle)
  100. Fri May 1 10:15:39 2026 distribution of cycle lengths:
  101. Fri May 1 10:15:39 2026 1 relations: 460909
  102. Fri May 1 10:15:39 2026 2 relations: 526901
  103. Fri May 1 10:15:39 2026 3 relations: 557406
  104. Fri May 1 10:15:39 2026 4 relations: 539854
  105. Fri May 1 10:15:39 2026 5 relations: 519970
  106. Fri May 1 10:15:39 2026 6 relations: 496062
  107. Fri May 1 10:15:39 2026 7 relations: 461749
  108. Fri May 1 10:15:39 2026 8 relations: 431177
  109. Fri May 1 10:15:39 2026 9 relations: 396649
  110. Fri May 1 10:15:39 2026 10+ relations: 2361856
  111. Fri May 1 10:15:39 2026 heaviest cycle: 28 relations
  112. Fri May 1 10:15:40 2026 commencing cycle optimization
  113. Fri May 1 10:15:50 2026 start with 54650529 relations
  114. Fri May 1 10:17:05 2026 pruned 1890371 relations
  115. Fri May 1 10:17:05 2026 memory use: 1580.6 MB
  116. Fri May 1 10:17:05 2026 distribution of cycle lengths:
  117. Fri May 1 10:17:05 2026 1 relations: 460909
  118. Fri May 1 10:17:05 2026 2 relations: 539933
  119. Fri May 1 10:17:05 2026 3 relations: 579136
  120. Fri May 1 10:17:05 2026 4 relations: 557755
  121. Fri May 1 10:17:05 2026 5 relations: 539967
  122. Fri May 1 10:17:05 2026 6 relations: 511657
  123. Fri May 1 10:17:05 2026 7 relations: 477391
  124. Fri May 1 10:17:05 2026 8 relations: 442002
  125. Fri May 1 10:17:05 2026 9 relations: 405950
  126. Fri May 1 10:17:05 2026 10+ relations: 2237833
  127. Fri May 1 10:17:05 2026 heaviest cycle: 28 relations
  128. Fri May 1 10:17:18 2026 RelProcTime: 755
  129. Fri May 1 10:17:18 2026 elapsed time 00:12:36
  130. Fri May 1 10:17:19 2026
  131. Fri May 1 10:17:19 2026
  132. Fri May 1 10:17:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  133. Fri May 1 10:17:19 2026 random seeds: f0238d95 396ad3cf
  134. Fri May 1 10:17:19 2026 MPI process 0 of 1
  135. Fri May 1 10:17:19 2026 Using 46 OpenMP threads
  136. Fri May 1 10:17:19 2026 factoring 540031636882156046029224407238507846381988580553469721217133667064980580169361548686592790184356541674137200758824238591767276416736146422354141780128111858094213671 (165 digits)
  137. Fri May 1 10:17:20 2026 no P-1/P+1/ECM available, skipping
  138. Fri May 1 10:17:20 2026 commencing number field sieve (165-digit input)
  139. Fri May 1 10:17:20 2026 R0: -184588220691713851574882692344076
  140. Fri May 1 10:17:20 2026 R1: 62044000224803901341
  141. Fri May 1 10:17:20 2026 A0: 12442048649770713369460422221734343852190
  142. Fri May 1 10:17:20 2026 A1: 4003771294401196581997715808067819
  143. Fri May 1 10:17:20 2026 A2: 191820447260617229244046314
  144. Fri May 1 10:17:20 2026 A3: -23592804832443031531
  145. Fri May 1 10:17:20 2026 A4: -130020198936
  146. Fri May 1 10:17:20 2026 A5: 15120
  147. Fri May 1 10:17:20 2026 skew 20451095.43, size 7.682e-16, alpha -7.585, combined = 9.943e-13 rroots = 5
  148. Fri May 1 10:17:20 2026
  149. Fri May 1 10:17:20 2026 commencing linear algebra
  150. Fri May 1 10:17:20 2026 using VBITS=256
  151. Fri May 1 10:17:20 2026 stopping after matrix build
  152. Fri May 1 10:17:20 2026 initialized process (0,0) of 1 x 1 grid
  153. Fri May 1 10:17:20 2026 read 6752533 cycles
  154. Fri May 1 10:17:34 2026 cycles contain 24495047 unique relations
  155. Fri May 1 10:18:04 2026 read 24495047 relations
  156. Fri May 1 10:18:06 2026 using 20 quadratic characters above 4294917295
  157. Fri May 1 10:18:09 2026 building initial matrix
  158. Fri May 1 10:21:51 2026 memory use: 3381.8 MB
  159. Fri May 1 10:21:57 2026 read 6752533 cycles
  160. Fri May 1 10:21:58 2026 matrix is 6752355 x 6752533 (2982.5 MB) with weight 920199392 (136.27/col)
  161. Fri May 1 10:21:58 2026 sparse part has weight 700802682 (103.78/col)
  162. Fri May 1 10:23:02 2026 filtering completed in 2 passes
  163. Fri May 1 10:23:04 2026 matrix is 6751342 x 6751520 (2982.3 MB) with weight 920147661 (136.29/col)
  164. Fri May 1 10:23:04 2026 sparse part has weight 700786408 (103.80/col)
  165. Fri May 1 10:23:18 2026 BLanczosTime: 358
  166. Fri May 1 10:23:18 2026 elapsed time 00:05:59
  167. Fri May 1 10:23:19 2026
  168. Fri May 1 10:23:19 2026
  169. Fri May 1 10:23:19 2026 Msieve v. 1.54 (SVN Unversioned directory)
  170. Fri May 1 10:23:19 2026 random seeds: 556c6af8 5fa4ca97
  171. Fri May 1 10:23:19 2026 MPI process 0 of 1
  172. Fri May 1 10:23:19 2026 Using 6 OpenMP threads
  173. Fri May 1 10:23:19 2026 factoring 540031636882156046029224407238507846381988580553469721217133667064980580169361548686592790184356541674137200758824238591767276416736146422354141780128111858094213671 (165 digits)
  174. Fri May 1 10:23:20 2026 no P-1/P+1/ECM available, skipping
  175. Fri May 1 10:23:20 2026 commencing number field sieve (165-digit input)
  176. Fri May 1 10:23:20 2026 R0: -184588220691713851574882692344076
  177. Fri May 1 10:23:20 2026 R1: 62044000224803901341
  178. Fri May 1 10:23:20 2026 A0: 12442048649770713369460422221734343852190
  179. Fri May 1 10:23:20 2026 A1: 4003771294401196581997715808067819
  180. Fri May 1 10:23:20 2026 A2: 191820447260617229244046314
  181. Fri May 1 10:23:20 2026 A3: -23592804832443031531
  182. Fri May 1 10:23:20 2026 A4: -130020198936
  183. Fri May 1 10:23:20 2026 A5: 15120
  184. Fri May 1 10:23:20 2026 skew 20451095.43, size 7.682e-16, alpha -7.585, combined = 9.943e-13 rroots = 5
  185. Fri May 1 10:23:20 2026
  186. Fri May 1 10:23:20 2026 commencing linear algebra
  187. Fri May 1 10:23:20 2026 using VBITS=256
  188. Fri May 1 10:23:20 2026 skipping matrix build
  189. Fri May 1 10:23:20 2026 initialized process (0,0) of 1 x 1 grid
  190. Fri May 1 10:23:25 2026 matrix starts at (0, 0)
  191. Fri May 1 10:23:26 2026 matrix is 6751342 x 6751520 (2982.3 MB) with weight 920147661 (136.29/col)
  192. Fri May 1 10:23:26 2026 sparse part has weight 700786408 (103.80/col)
  193. Fri May 1 10:23:26 2026 saving the first 240 matrix rows for later
  194. Fri May 1 10:23:28 2026 matrix includes 256 packed rows
  195. Fri May 1 10:23:29 2026 matrix is 6751102 x 6751520 (2686.1 MB) with weight 637141795 (94.37/col)
  196. Fri May 1 10:23:29 2026 sparse part has weight 596116687 (88.29/col)
  197. Fri May 1 10:23:29 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  198. Fri May 1 10:23:29 2026 selected card has CUDA arch 8.0
  199. Fri May 1 10:24:14 2026 commencing Lanczos iteration
  200. Fri May 1 10:24:15 2026 memory use: 6453.9 MB
  201. Fri May 1 10:24:26 2026 linear algebra at 0.5%, ETA 0h40m
  202. Fri May 1 10:24:44 2026 checking every 150000 dimensions, checkpointing every 9600000 dimensions
  203. Fri May 1 11:06:07 2026 lanczos halted after 26451 iterations (dim = 6751100)
  204. Fri May 1 11:06:34 2026 recovered 30 nontrivial dependencies
  205. Fri May 1 11:06:34 2026 BLanczosTime: 2594
  206. Fri May 1 11:06:34 2026 elapsed time 00:43:15
  207. Fri May 1 11:09:24 2026
  208. Fri May 1 11:09:24 2026
  209. Fri May 1 11:09:24 2026 Msieve v. 1.54 (SVN Unversioned directory)
  210. Fri May 1 11:09:24 2026 random seeds: d4157ccd 820e7270
  211. Fri May 1 11:09:24 2026 MPI process 0 of 1
  212. Fri May 1 11:09:24 2026 Using 32 OpenMP threads
  213. Fri May 1 11:09:24 2026 factoring 540031636882156046029224407238507846381988580553469721217133667064980580169361548686592790184356541674137200758824238591767276416736146422354141780128111858094213671 (165 digits)
  214. Fri May 1 11:09:24 2026 no P-1/P+1/ECM available, skipping
  215. Fri May 1 11:09:24 2026 commencing number field sieve (165-digit input)
  216. Fri May 1 11:09:24 2026 R0: -184588220691713851574882692344076
  217. Fri May 1 11:09:24 2026 R1: 62044000224803901341
  218. Fri May 1 11:09:24 2026 A0: 12442048649770713369460422221734343852190
  219. Fri May 1 11:09:24 2026 A1: 4003771294401196581997715808067819
  220. Fri May 1 11:09:24 2026 A2: 191820447260617229244046314
  221. Fri May 1 11:09:24 2026 A3: -23592804832443031531
  222. Fri May 1 11:09:24 2026 A4: -130020198936
  223. Fri May 1 11:09:24 2026 A5: 15120
  224. Fri May 1 11:09:24 2026 skew 20451095.43, size 7.682e-16, alpha -7.585, combined = 9.943e-13 rroots = 5
  225. Fri May 1 11:09:24 2026
  226. Fri May 1 11:09:24 2026 commencing square root phase
  227. Fri May 1 11:09:24 2026 reading relations for dependency 1
  228. Fri May 1 11:09:25 2026 read 3374674 cycles
  229. Fri May 1 11:09:29 2026 cycles contain 12244246 unique relations
  230. Fri May 1 11:09:42 2026 read 12244246 relations
  231. Fri May 1 11:10:12 2026 multiplying 12244246 relations
  232. Fri May 1 11:10:58 2026 multiply complete, coefficients have about 620.20 million bits
  233. Fri May 1 11:10:59 2026 initial square root is modulo 366791
  234. Fri May 1 11:13:30 2026 GCD is 1, no factor found
  235. Fri May 1 11:13:30 2026 reading relations for dependency 2
  236. Fri May 1 11:13:30 2026 read 3380331 cycles
  237. Fri May 1 11:13:35 2026 cycles contain 12257018 unique relations
  238. Fri May 1 11:13:43 2026 read 12257018 relations
  239. Fri May 1 11:14:15 2026 multiplying 12257018 relations
  240. Fri May 1 11:15:01 2026 multiply complete, coefficients have about 620.86 million bits
  241. Fri May 1 11:15:02 2026 initial square root is modulo 371617
  242. Fri May 1 11:17:33 2026 sqrtTime: 489
  243. Fri May 1 11:17:33 2026 p78 factor: 273560438250519077299162931407049966072112084595544124667802615533990297738591
  244. Fri May 1 11:17:33 2026 p88 factor: 1974085289290295773127722449055043083231460230267583927854334346495538122887747609165881
  245. Fri May 1 11:17:33 2026 elapsed time 00:08:09
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