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May 10th, 2025
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  1. Sat May 10 10:21:14 2025
  2. Sat May 10 10:21:14 2025
  3. Sat May 10 10:21:14 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 10 10:21:14 2025 random seeds: 2769984a 5cd4b685
  5. Sat May 10 10:21:14 2025 MPI process 0 of 1
  6. Sat May 10 10:21:14 2025 Using 32 OpenMP threads
  7. Sat May 10 10:21:14 2025 factoring 522693628136537266250331469517897958099854885114856045225273857738996047164677749935991282871515476530198396772547084593411645852618542781075902412997511960776230589 (165 digits)
  8. Sat May 10 10:21:14 2025 searching for 15-digit factors
  9. Sat May 10 10:21:15 2025 commencing number field sieve (165-digit input)
  10. Sat May 10 10:21:15 2025 R0: 17071899303757613721999103944492
  11. Sat May 10 10:21:15 2025 R1: 53469707687361507859239673
  12. Sat May 10 10:21:15 2025 A0: -11765910619485448653325105417355805
  13. Sat May 10 10:21:15 2025 A1: 1083703157396795096153605870091
  14. Sat May 10 10:21:15 2025 A2: -5465702987073720739496577
  15. Sat May 10 10:21:15 2025 A3: -112472693913531329333
  16. Sat May 10 10:21:15 2025 A4: 81479937801888
  17. Sat May 10 10:21:15 2025 A5: 1421280
  18. Sat May 10 10:21:15 2025 skew 217769.56, size 5.232e-16, alpha -5.566, combined = 7.870e-13 rroots = 5
  19. Sat May 10 10:21:15 2025
  20. Sat May 10 10:21:15 2025 commencing relation filtering
  21. Sat May 10 10:21:15 2025 setting target matrix density to 130.0
  22. Sat May 10 10:21:15 2025 estimated available RAM is 257736.5 MB
  23. Sat May 10 10:21:15 2025 commencing duplicate removal, pass 1
  24. Sat May 10 10:21:40 2025 error -1 reading relation 12107638
  25. Sat May 10 10:25:16 2025 error -1 reading relation 101214325
  26. Sat May 10 10:25:26 2025 error -1 reading relation 105094743
  27. Sat May 10 10:25:26 2025 error -1 reading relation 105096699
  28. Sat May 10 10:25:27 2025 error -1 reading relation 105255326
  29. Sat May 10 10:25:36 2025 error -1 reading relation 108798703
  30. Sat May 10 10:25:38 2025 error -1 reading relation 109594156
  31. Sat May 10 10:25:39 2025 error -1 reading relation 110137705
  32. Sat May 10 10:25:59 2025 error -1 reading relation 117620871
  33. Sat May 10 10:26:04 2025 error -1 reading relation 119484087
  34. Sat May 10 10:26:07 2025 error -1 reading relation 120679000
  35. Sat May 10 10:26:11 2025 error -1 reading relation 121697006
  36. Sat May 10 10:26:23 2025 error -1 reading relation 126705538
  37. Sat May 10 10:26:35 2025 error -1 reading relation 131240453
  38. Sat May 10 10:26:49 2025 error -1 reading relation 136442578
  39. Sat May 10 10:27:03 2025 error -1 reading relation 141506076
  40. Sat May 10 10:28:17 2025 error -1 reading relation 169149276
  41. Sat May 10 10:29:30 2025 error -1 reading relation 196067552
  42. Sat May 10 10:29:30 2025 error -1 reading relation 196072601
  43. Sat May 10 10:29:38 2025 error -1 reading relation 199060516
  44. Sat May 10 10:29:40 2025 error -1 reading relation 200086325
  45. Sat May 10 10:29:42 2025 error -15 reading relation 200594594
  46. Sat May 10 10:29:45 2025 error -11 reading relation 201940633
  47. Sat May 10 10:30:00 2025 error -1 reading relation 207685273
  48. Sat May 10 10:30:02 2025 error -1 reading relation 208379617
  49. Sat May 10 10:32:19 2025 error -1 reading relation 259159613
  50. Sat May 10 10:33:05 2025 skipped 163 malformed relations
  51. Sat May 10 10:33:05 2025 found 48528732 hash collisions in 276914784 relations
  52. Sat May 10 10:33:30 2025 added 122079 free relations
  53. Sat May 10 10:33:30 2025 commencing duplicate removal, pass 2
  54. Sat May 10 10:39:47 2025 found 43996885 duplicates and 233039978 unique relations
  55. Sat May 10 10:39:47 2025 memory use: 1449.5 MB
  56. Sat May 10 10:39:48 2025 reading ideals above 720000
  57. Sat May 10 10:39:48 2025 commencing singleton removal, initial pass
  58. Sat May 10 11:04:27 2025 memory use: 6024.0 MB
  59. Sat May 10 11:04:27 2025 reading all ideals from disk
  60. Sat May 10 11:04:32 2025 memory use: 10657.7 MB
  61. Sat May 10 11:05:01 2025 keeping 224871415 ideals with weight <= 200, target excess is 1127399
  62. Sat May 10 11:05:41 2025 commencing in-memory singleton removal
  63. Sat May 10 11:05:45 2025 begin with 233039978 relations and 224871415 unique ideals
  64. Sat May 10 11:06:05 2025 reduce to 124824709 relations and 102905397 ideals in 15 passes
  65. Sat May 10 11:06:05 2025 max relations containing the same ideal: 140
  66. Sat May 10 11:07:20 2025 removing 12100072 relations and 10100072 ideals in 2000000 cliques
  67. Sat May 10 11:07:26 2025 commencing in-memory singleton removal
  68. Sat May 10 11:07:29 2025 begin with 112724637 relations and 102905397 unique ideals
  69. Sat May 10 11:07:38 2025 reduce to 111821857 relations and 91884254 ideals in 9 passes
  70. Sat May 10 11:07:38 2025 max relations containing the same ideal: 130
  71. Sat May 10 11:08:34 2025 removing 9207937 relations and 7207937 ideals in 2000000 cliques
  72. Sat May 10 11:08:38 2025 commencing in-memory singleton removal
  73. Sat May 10 11:08:41 2025 begin with 102613920 relations and 91884254 unique ideals
  74. Sat May 10 11:08:46 2025 reduce to 101999491 relations and 84050610 ideals in 8 passes
  75. Sat May 10 11:08:46 2025 max relations containing the same ideal: 122
  76. Sat May 10 11:09:35 2025 removing 8346431 relations and 6346431 ideals in 2000000 cliques
  77. Sat May 10 11:09:39 2025 commencing in-memory singleton removal
  78. Sat May 10 11:09:42 2025 begin with 93653060 relations and 84050610 unique ideals
  79. Sat May 10 11:09:49 2025 reduce to 93099595 relations and 77140379 ideals in 11 passes
  80. Sat May 10 11:09:49 2025 max relations containing the same ideal: 115
  81. Sat May 10 11:10:34 2025 removing 7916333 relations and 5916333 ideals in 2000000 cliques
  82. Sat May 10 11:10:38 2025 commencing in-memory singleton removal
  83. Sat May 10 11:10:39 2025 begin with 85183262 relations and 77140379 unique ideals
  84. Sat May 10 11:10:46 2025 reduce to 84641068 relations and 70671348 ideals in 11 passes
  85. Sat May 10 11:10:46 2025 max relations containing the same ideal: 109
  86. Sat May 10 11:11:27 2025 removing 7660114 relations and 5660114 ideals in 2000000 cliques
  87. Sat May 10 11:11:31 2025 commencing in-memory singleton removal
  88. Sat May 10 11:11:32 2025 begin with 76980954 relations and 70671348 unique ideals
  89. Sat May 10 11:11:37 2025 reduce to 76428493 relations and 64446885 ideals in 8 passes
  90. Sat May 10 11:11:37 2025 max relations containing the same ideal: 102
  91. Sat May 10 11:12:15 2025 removing 7510320 relations and 5510320 ideals in 2000000 cliques
  92. Sat May 10 11:12:19 2025 commencing in-memory singleton removal
  93. Sat May 10 11:12:21 2025 begin with 68918173 relations and 64446885 unique ideals
  94. Sat May 10 11:12:25 2025 reduce to 68333365 relations and 58338172 ideals in 8 passes
  95. Sat May 10 11:12:25 2025 max relations containing the same ideal: 97
  96. Sat May 10 11:12:59 2025 removing 7432687 relations and 5432687 ideals in 2000000 cliques
  97. Sat May 10 11:13:02 2025 commencing in-memory singleton removal
  98. Sat May 10 11:13:03 2025 begin with 60900678 relations and 58338172 unique ideals
  99. Sat May 10 11:13:07 2025 reduce to 60263847 relations and 52251990 ideals in 8 passes
  100. Sat May 10 11:13:07 2025 max relations containing the same ideal: 85
  101. Sat May 10 11:13:38 2025 removing 7416313 relations and 5416313 ideals in 2000000 cliques
  102. Sat May 10 11:13:41 2025 commencing in-memory singleton removal
  103. Sat May 10 11:13:42 2025 begin with 52847534 relations and 52251990 unique ideals
  104. Sat May 10 11:13:45 2025 reduce to 52123398 relations and 46090730 ideals in 9 passes
  105. Sat May 10 11:13:45 2025 max relations containing the same ideal: 78
  106. Sat May 10 11:14:13 2025 removing 7457846 relations and 5457846 ideals in 2000000 cliques
  107. Sat May 10 11:14:15 2025 commencing in-memory singleton removal
  108. Sat May 10 11:14:16 2025 begin with 44665552 relations and 46090730 unique ideals
  109. Sat May 10 11:14:19 2025 reduce to 43813877 relations and 39752391 ideals in 9 passes
  110. Sat May 10 11:14:19 2025 max relations containing the same ideal: 68
  111. Sat May 10 11:14:43 2025 removing 7556197 relations and 5556197 ideals in 2000000 cliques
  112. Sat May 10 11:14:45 2025 commencing in-memory singleton removal
  113. Sat May 10 11:14:46 2025 begin with 36257680 relations and 39752391 unique ideals
  114. Sat May 10 11:14:48 2025 reduce to 35186345 relations and 33081647 ideals in 10 passes
  115. Sat May 10 11:14:48 2025 max relations containing the same ideal: 61
  116. Sat May 10 11:15:05 2025 removing 3850548 relations and 3053633 ideals in 796915 cliques
  117. Sat May 10 11:15:07 2025 commencing in-memory singleton removal
  118. Sat May 10 11:15:07 2025 begin with 31335797 relations and 33081647 unique ideals
  119. Sat May 10 11:15:09 2025 reduce to 31012983 relations and 29698719 ideals in 9 passes
  120. Sat May 10 11:15:09 2025 max relations containing the same ideal: 55
  121. Sat May 10 11:15:27 2025 relations with 0 large ideals: 4145
  122. Sat May 10 11:15:27 2025 relations with 1 large ideals: 41283
  123. Sat May 10 11:15:27 2025 relations with 2 large ideals: 492111
  124. Sat May 10 11:15:27 2025 relations with 3 large ideals: 2388275
  125. Sat May 10 11:15:27 2025 relations with 4 large ideals: 6053242
  126. Sat May 10 11:15:27 2025 relations with 5 large ideals: 8822672
  127. Sat May 10 11:15:27 2025 relations with 6 large ideals: 7721621
  128. Sat May 10 11:15:27 2025 relations with 7+ large ideals: 5489634
  129. Sat May 10 11:15:27 2025 commencing 2-way merge
  130. Sat May 10 11:15:48 2025 reduce to 18375942 relation sets and 17061678 unique ideals
  131. Sat May 10 11:15:48 2025 commencing full merge
  132. Sat May 10 11:22:22 2025 memory use: 2068.0 MB
  133. Sat May 10 11:22:24 2025 found 7817341 cycles, need 7783878
  134. Sat May 10 11:22:26 2025 weight of 7783878 cycles is about 1012707134 (130.10/cycle)
  135. Sat May 10 11:22:26 2025 distribution of cycle lengths:
  136. Sat May 10 11:22:26 2025 1 relations: 495492
  137. Sat May 10 11:22:26 2025 2 relations: 497469
  138. Sat May 10 11:22:26 2025 3 relations: 499443
  139. Sat May 10 11:22:26 2025 4 relations: 487601
  140. Sat May 10 11:22:26 2025 5 relations: 489632
  141. Sat May 10 11:22:26 2025 6 relations: 481129
  142. Sat May 10 11:22:26 2025 7 relations: 472774
  143. Sat May 10 11:22:26 2025 8 relations: 462345
  144. Sat May 10 11:22:26 2025 9 relations: 442846
  145. Sat May 10 11:22:26 2025 10+ relations: 3455147
  146. Sat May 10 11:22:26 2025 heaviest cycle: 28 relations
  147. Sat May 10 11:22:28 2025 commencing cycle optimization
  148. Sat May 10 11:22:44 2025 start with 73818630 relations
  149. Sat May 10 11:25:28 2025 pruned 3124800 relations
  150. Sat May 10 11:25:29 2025 memory use: 1999.9 MB
  151. Sat May 10 11:25:29 2025 distribution of cycle lengths:
  152. Sat May 10 11:25:29 2025 1 relations: 495492
  153. Sat May 10 11:25:29 2025 2 relations: 509554
  154. Sat May 10 11:25:29 2025 3 relations: 518578
  155. Sat May 10 11:25:29 2025 4 relations: 505423
  156. Sat May 10 11:25:29 2025 5 relations: 510734
  157. Sat May 10 11:25:29 2025 6 relations: 501552
  158. Sat May 10 11:25:29 2025 7 relations: 495492
  159. Sat May 10 11:25:29 2025 8 relations: 482799
  160. Sat May 10 11:25:29 2025 9 relations: 463192
  161. Sat May 10 11:25:29 2025 10+ relations: 3301062
  162. Sat May 10 11:25:29 2025 heaviest cycle: 28 relations
  163. Sat May 10 11:25:41 2025 RelProcTime: 3866
  164. Sat May 10 11:25:41 2025
  165. Sat May 10 11:25:41 2025 commencing linear algebra
  166. Sat May 10 11:25:41 2025 using VBITS=256
  167. Sat May 10 11:25:41 2025 stopping after matrix build
  168. Sat May 10 11:25:41 2025 initialized process (0,0) of 1 x 1 grid
  169. Sat May 10 11:25:42 2025 read 7783878 cycles
  170. Sat May 10 11:25:56 2025 cycles contain 30046670 unique relations
  171. Sat May 10 11:30:15 2025 read 30046670 relations
  172. Sat May 10 11:30:18 2025 using 20 quadratic characters above 4294917295
  173. Sat May 10 11:30:23 2025 building initial matrix
  174. Sat May 10 11:37:13 2025 memory use: 3933.2 MB
  175. Sat May 10 11:37:20 2025 read 7783878 cycles
  176. Sat May 10 11:37:21 2025 matrix is 7783701 x 7783878 (3940.7 MB) with weight 1186211203 (152.39/col)
  177. Sat May 10 11:37:21 2025 sparse part has weight 939611380 (120.71/col)
  178. Sat May 10 11:39:13 2025 filtering completed in 2 passes
  179. Sat May 10 11:39:15 2025 matrix is 7783314 x 7783490 (3940.6 MB) with weight 1186192350 (152.40/col)
  180. Sat May 10 11:39:15 2025 sparse part has weight 939605882 (120.72/col)
  181. Sat May 10 11:40:08 2025 BLanczosTime: 867
  182. Sat May 10 11:40:08 2025 elapsed time 01:18:54
  183. Sat May 10 12:01:40 2025
  184. Sat May 10 12:01:40 2025
  185. Sat May 10 12:01:40 2025 Msieve v. 1.54 (SVN Unversioned directory)
  186. Sat May 10 12:01:40 2025 random seeds: 98a60e09 4461c1c8
  187. Sat May 10 12:01:40 2025 Using 96 OpenMP threads
  188. Sat May 10 12:01:40 2025 factoring 522693628136537266250331469517897958099854885114856045225273857738996047164677749935991282871515476530198396772547084593411645852618542781075902412997511960776230589 (165 digits)
  189. Sat May 10 12:01:41 2025 searching for 15-digit factors
  190. Sat May 10 12:01:41 2025 commencing number field sieve (165-digit input)
  191. Sat May 10 12:01:41 2025 R0: 17071899303757613721999103944492
  192. Sat May 10 12:01:41 2025 R1: 53469707687361507859239673
  193. Sat May 10 12:01:41 2025 A0: -11765910619485448653325105417355805
  194. Sat May 10 12:01:41 2025 A1: 1083703157396795096153605870091
  195. Sat May 10 12:01:41 2025 A2: -5465702987073720739496577
  196. Sat May 10 12:01:41 2025 A3: -112472693913531329333
  197. Sat May 10 12:01:41 2025 A4: 81479937801888
  198. Sat May 10 12:01:41 2025 A5: 1421280
  199. Sat May 10 12:01:41 2025 skew 217769.56, size 5.232e-16, alpha -5.566, combined = 7.870e-13 rroots = 5
  200. Sat May 10 12:01:41 2025
  201. Sat May 10 12:01:41 2025 commencing linear algebra
  202. Sat May 10 12:01:41 2025 using VBITS=256
  203. Sat May 10 12:01:41 2025 skipping matrix build
  204. Sat May 10 12:01:44 2025 matrix starts at (0, 0)
  205. Sat May 10 12:01:46 2025 matrix is 7783314 x 7783490 (3940.6 MB) with weight 1186192350 (152.40/col)
  206. Sat May 10 12:01:46 2025 sparse part has weight 939605882 (120.72/col)
  207. Sat May 10 12:01:46 2025 saving the first 240 matrix rows for later
  208. Sat May 10 12:01:48 2025 matrix includes 256 packed rows
  209. Sat May 10 12:01:52 2025 matrix is 7783074 x 7783490 (3523.4 MB) with weight 855551621 (109.92/col)
  210. Sat May 10 12:01:52 2025 sparse part has weight 799094890 (102.67/col)
  211. Sat May 10 12:01:52 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  212. Sat May 10 12:02:19 2025 commencing Lanczos iteration (96 threads)
  213. Sat May 10 12:02:19 2025 memory use: 4740.7 MB
  214. Sat May 10 12:03:51 2025 linear algebra at 0.4%, ETA 6h15m
  215. Sat May 10 12:05:10 2025 checking every 20000 dimensions, checkpointing every 1660000 dimensions
  216. Sat May 10 15:43:10 2025 lanczos halted after 30495 iterations (dim = 7783074)
  217. Sat May 10 15:43:40 2025 recovered 32 nontrivial dependencies
  218. Sat May 10 15:43:41 2025 BLanczosTime: 13320
  219. Sat May 10 15:43:41 2025
  220. Sat May 10 15:43:41 2025 commencing square root phase
  221. Sat May 10 15:43:41 2025 handling dependencies 1 to 64
  222. Sat May 10 15:43:41 2025 reading relations for dependency 1
  223. Sat May 10 15:43:43 2025 read 3891565 cycles
  224. Sat May 10 15:43:53 2025 cycles contain 15025286 unique relations
  225. Sat May 10 16:11:12 2025 read 15025286 relations
  226. Sat May 10 16:12:52 2025 multiplying 15025286 relations
  227. Sat May 10 16:24:47 2025 multiply complete, coefficients have about 915.14 million bits
  228. Sat May 10 16:24:51 2025 initial square root is modulo 162250241
  229. Sat May 10 16:33:12 2025 sqrtTime: 2971
  230. Sat May 10 16:33:12 2025 p76 factor: 9927424513841173858129753973361462936924498555831801466810486010266682665819
  231. Sat May 10 16:33:12 2025 p89 factor: 52651483514961904674398789281477745017382308212172073341139143580837473699825883003365831
  232. Sat May 10 16:33:12 2025 elapsed time 04:31:32
  233.  
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